id sid tid token lemma pos 39713 1 1 produced produce VBN 39713 1 2 from from IN 39713 1 3 scanned scanned JJ 39713 1 4 images image NNS 39713 1 5 of of IN 39713 1 6 public public JJ 39713 1 7 domain domain NN 39713 1 8 material material NN 39713 1 9 from from IN 39713 1 10 the the DT 39713 1 11 Google Google NNP 39713 1 12 Print Print NNP 39713 1 13 project project NN 39713 1 14 . . . 39713 1 15 ) ) -RRB- 39713 2 1 SCIENCE science NN 39713 2 2 AND and CC 39713 2 3 EDUCATION education NN 39713 2 4 A a DT 39713 2 5 SERIES series NN 39713 2 6 OF of IN 39713 2 7 VOLUMES volumes NN 39713 2 8 FOR for IN 39713 2 9 THE the DT 39713 2 10 PROMOTION PROMOTION NNS 39713 2 11 OF of IN 39713 2 12 SCIENTIFIC scientific JJ 39713 2 13 RESEARCH research NN 39713 2 14 AND and CC 39713 2 15 EDUCATIONAL educational NN 39713 2 16 PROGRESS progress NN 39713 2 17 EDITED edit VBN 39713 2 18 BY by IN 39713 2 19 J. J. NNP 39713 2 20 MCKEEN MCKEEN NNP 39713 2 21 CATTELL CATTELL NNS 39713 2 22 VOLUME volume NN 39713 2 23 I -PRON- PRP 39713 2 24 -- -- : 39713 2 25 THE the DT 39713 2 26 FOUNDATIONS foundation NNS 39713 2 27 OF of IN 39713 2 28 SCIENCE science NN 39713 2 29 UNDER under IN 39713 2 30 THE the DT 39713 2 31 SAME SAME NNP 39713 2 32 EDITORSHIP EDITORSHIP NNP 39713 2 33 SCIENCE SCIENCE NNS 39713 2 34 AND and CC 39713 2 35 EDUCATION education NN 39713 2 36 . . . 39713 3 1 A a DT 39713 3 2 series series NN 39713 3 3 of of IN 39713 3 4 volumes volume NNS 39713 3 5 for for IN 39713 3 6 the the DT 39713 3 7 promotion promotion NN 39713 3 8 of of IN 39713 3 9 scientific scientific JJ 39713 3 10 research research NN 39713 3 11 and and CC 39713 3 12 educational educational JJ 39713 3 13 progress progress NN 39713 3 14 . . . 39713 4 1 Volume volume NN 39713 4 2 I. i. NN 39713 5 1 The the DT 39713 5 2 Foundations Foundations NNPS 39713 5 3 of of IN 39713 5 4 Science Science NNP 39713 5 5 . . . 39713 6 1 By by IN 39713 6 2 H. H. NNP 39713 6 3 POINCARÉ POINCARÉ NNP 39713 6 4 . . . 39713 7 1 Containing contain VBG 39713 7 2 the the DT 39713 7 3 authorised authorised JJ 39713 7 4 English english JJ 39713 7 5 translation translation NN 39713 7 6 by by IN 39713 7 7 George George NNP 39713 7 8 Bruce Bruce NNP 39713 7 9 Halsted Halsted NNP 39713 7 10 of of IN 39713 7 11 " " `` 39713 7 12 Science Science NNP 39713 7 13 and and CC 39713 7 14 Hypothesis hypothesis NN 39713 7 15 , , , 39713 7 16 " " '' 39713 7 17 " " `` 39713 7 18 The the DT 39713 7 19 Value Value NNP 39713 7 20 of of IN 39713 7 21 Science Science NNP 39713 7 22 , , , 39713 7 23 " " '' 39713 7 24 and and CC 39713 7 25 " " `` 39713 7 26 Science Science NNP 39713 7 27 and and CC 39713 7 28 Method Method NNP 39713 7 29 . . . 39713 7 30 " " '' 39713 8 1 Volume volume NN 39713 8 2 II II NNP 39713 8 3 . . . 39713 9 1 Medical Medical NNP 39713 9 2 Research Research NNP 39713 9 3 and and CC 39713 9 4 Education Education NNP 39713 9 5 . . . 39713 10 1 By by IN 39713 10 2 Richard Richard NNP 39713 10 3 Mills Mills NNP 39713 10 4 Pearce Pearce NNP 39713 10 5 , , , 39713 10 6 William William NNP 39713 10 7 H. H. NNP 39713 10 8 Welch Welch NNP 39713 10 9 , , , 39713 10 10 W. W. NNP 39713 10 11 H. H. NNP 39713 10 12 Howell Howell NNP 39713 10 13 , , , 39713 10 14 Franklin Franklin NNP 39713 10 15 P. P. NNP 39713 10 16 Mall Mall NNP 39713 10 17 , , , 39713 10 18 Lewellys Lewellys NNP 39713 10 19 F. F. NNP 39713 10 20 Barker Barker NNP 39713 10 21 , , , 39713 10 22 Charles Charles NNP 39713 10 23 S. S. NNP 39713 10 24 Minot Minot NNP 39713 10 25 , , , 39713 10 26 W. W. NNP 39713 10 27 B. B. NNP 39713 10 28 Cannon Cannon NNP 39713 10 29 , , , 39713 10 30 W. W. NNP 39713 10 31 T. T. NNP 39713 10 32 Councilman Councilman NNP 39713 10 33 Theobald Theobald NNP 39713 10 34 Smith Smith NNP 39713 10 35 , , , 39713 10 36 G. G. NNP 39713 10 37 N. N. NNP 39713 10 38 Stewart Stewart NNP 39713 10 39 , , , 39713 10 40 C. C. NNP 39713 10 41 M. M. NNP 39713 10 42 Jackson Jackson NNP 39713 10 43 , , , 39713 10 44 E. E. NNP 39713 10 45 P. P. NNP 39713 10 46 Lyon Lyon NNP 39713 10 47 , , , 39713 10 48 James James NNP 39713 10 49 B. B. NNP 39713 10 50 Herrick Herrick NNP 39713 10 51 , , , 39713 10 52 John John NNP 39713 10 53 M. M. NNP 39713 10 54 Dodson Dodson NNP 39713 10 55 , , , 39713 10 56 C. C. NNP 39713 10 57 R. R. NNP 39713 10 58 Bardeen Bardeen NNP 39713 10 59 , , , 39713 10 60 W. W. NNP 39713 10 61 Ophuls Ophuls NNP 39713 10 62 , , , 39713 10 63 S. S. NNP 39713 10 64 J. J. NNP 39713 10 65 Meltzer Meltzer NNP 39713 10 66 , , , 39713 10 67 James James NNP 39713 10 68 Ewing Ewing NNP 39713 10 69 , , , 39713 10 70 W. W. NNP 39713 10 71 W. W. NNP 39713 10 72 Keen Keen NNP 39713 10 73 , , , 39713 10 74 Henry Henry NNP 39713 10 75 H. H. NNP 39713 10 76 Donaldson Donaldson NNP 39713 10 77 , , , 39713 10 78 Christian Christian NNP 39713 10 79 A. a. NN 39713 10 80 Herter Herter NNP 39713 10 81 , , , 39713 10 82 and and CC 39713 10 83 Henry Henry NNP 39713 10 84 P. P. NNP 39713 10 85 Bowditch Bowditch NNP 39713 10 86 . . . 39713 11 1 Volume volume NN 39713 11 2 III III NNP 39713 11 3 . . . 39713 12 1 University University NNP 39713 12 2 Control Control NNP 39713 12 3 . . . 39713 13 1 By by IN 39713 13 2 J. J. NNP 39713 13 3 MCKEEN MCKEEN NNP 39713 13 4 CATTELL CATTELL NNS 39713 13 5 and and CC 39713 13 6 other other JJ 39713 13 7 authors author NNS 39713 13 8 . . . 39713 14 1 AMERICAN AMERICAN NNP 39713 14 2 MEN man NNS 39713 14 3 OF of IN 39713 14 4 SCIENCE SCIENCE NNP 39713 14 5 . . . 39713 15 1 A a DT 39713 15 2 Biographical Biographical NNP 39713 15 3 Directory Directory NNP 39713 15 4 . . . 39713 16 1 SCIENCE science NN 39713 16 2 . . . 39713 17 1 A a DT 39713 17 2 weekly weekly JJ 39713 17 3 journal journal NN 39713 17 4 devoted devote VBN 39713 17 5 to to IN 39713 17 6 the the DT 39713 17 7 advancement advancement NN 39713 17 8 of of IN 39713 17 9 science science NN 39713 17 10 . . . 39713 18 1 The the DT 39713 18 2 official official JJ 39713 18 3 organ organ NN 39713 18 4 of of IN 39713 18 5 the the DT 39713 18 6 American American NNP 39713 18 7 Association Association NNP 39713 18 8 for for IN 39713 18 9 the the DT 39713 18 10 Advancement Advancement NNP 39713 18 11 of of IN 39713 18 12 Science Science NNP 39713 18 13 . . . 39713 19 1 THE the DT 39713 19 2 POPULAR POPULAR NNP 39713 19 3 SCIENCE SCIENCE NNP 39713 19 4 MONTHLY MONTHLY NNP 39713 19 5 . . . 39713 20 1 A a DT 39713 20 2 monthly monthly JJ 39713 20 3 magazine magazine NN 39713 20 4 devoted devote VBN 39713 20 5 to to IN 39713 20 6 the the DT 39713 20 7 diffusion diffusion NN 39713 20 8 of of IN 39713 20 9 science science NN 39713 20 10 . . . 39713 21 1 THE the DT 39713 21 2 AMERICAN AMERICAN NNP 39713 21 3 NATURALIST NATURALIST NNP 39713 21 4 . . . 39713 22 1 A a DT 39713 22 2 monthly monthly JJ 39713 22 3 journal journal NN 39713 22 4 devoted devote VBN 39713 22 5 to to IN 39713 22 6 the the DT 39713 22 7 biological biological JJ 39713 22 8 sciences science NNS 39713 22 9 , , , 39713 22 10 with with IN 39713 22 11 special special JJ 39713 22 12 reference reference NN 39713 22 13 to to IN 39713 22 14 the the DT 39713 22 15 factors factor NNS 39713 22 16 of of IN 39713 22 17 evolution evolution NN 39713 22 18 . . . 39713 23 1 THE the DT 39713 23 2 SCIENCE SCIENCE NNP 39713 23 3 PRESS press VBP 39713 23 4 NEW NEW NNP 39713 23 5 YORK YORK NNP 39713 23 6 GARRISON GARRISON NNP 39713 23 7 , , , 39713 23 8 N. N. NNP 39713 23 9 Y. Y. NNP 39713 24 1 THE the DT 39713 24 2 FOUNDATIONS foundation NNS 39713 24 3 OF of IN 39713 24 4 SCIENCE science NN 39713 24 5 SCIENCE SCIENCE NNS 39713 24 6 AND and CC 39713 24 7 HYPOTHESIS hypothesi NNS 39713 24 8 THE the DT 39713 24 9 VALUE value NN 39713 24 10 OF of IN 39713 24 11 SCIENCE SCIENCE NNP 39713 24 12 SCIENCE SCIENCE NNP 39713 24 13 AND and CC 39713 24 14 METHOD method NN 39713 24 15 BY by IN 39713 24 16 H. H. NNP 39713 24 17 POINCARÉ poincaré NN 39713 24 18 AUTHORIZED authorized JJ 39713 24 19 TRANSLATION translation NN 39713 24 20 BY by IN 39713 24 21 GEORGE GEORGE NNP 39713 24 22 BRUCE BRUCE VBD 39713 24 23 HALSTED HALSTED NNP 39713 24 24 WITH with IN 39713 24 25 A a DT 39713 24 26 SPECIAL special NN 39713 24 27 PREFACE preface NN 39713 24 28 BY by IN 39713 24 29 POINCARÉ poincaré NN 39713 24 30 , , , 39713 24 31 AND and CC 39713 24 32 AN an DT 39713 24 33 INTRODUCTION introduction NN 39713 24 34 BY by IN 39713 24 35 JOSIAH josiah NN 39713 24 36 ROYCE ROYCE NNS 39713 24 37 , , , 39713 24 38 HARVARD HARVARD NNP 39713 24 39 UNIVERSITY UNIVERSITY NNP 39713 24 40 THE the DT 39713 24 41 SCIENCE SCIENCE NNP 39713 24 42 PRESS press VBP 39713 24 43 NEW NEW NNP 39713 24 44 YORK york NN 39713 24 45 AND and CC 39713 24 46 GARRISON GARRISON NNP 39713 24 47 , , , 39713 24 48 N. N. NNP 39713 24 49 Y. Y. NNP 39713 25 1 1913 1913 CD 39713 25 2 Copyright copyright NN 39713 25 3 , , , 39713 25 4 1913 1913 CD 39713 25 5 BY by IN 39713 25 6 THE the DT 39713 25 7 SCIENCE SCIENCE NNP 39713 25 8 PRESS press NN 39713 25 9 PRESS press NN 39713 25 10 OF of IN 39713 25 11 THE the DT 39713 25 12 NEW NEW NNP 39713 25 13 ERA ERA NNP 39713 25 14 PRINTING print VBG 39713 25 15 COMPANY COMPANY NNP 39713 25 16 LANCASTER lancaster NN 39713 25 17 , , , 39713 25 18 PA PA NNP 39713 25 19 . . . 39713 26 1 CONTENTS content NNS 39713 26 2 PAGE PAGE NNP 39713 26 3 Henri Henri NNP 39713 26 4 Poincaré Poincaré NNP 39713 26 5 ix ix IN 39713 26 6 Author Author NNP 39713 26 7 's 's POS 39713 26 8 Preface Preface NNP 39713 26 9 to to IN 39713 26 10 the the DT 39713 26 11 Translation translation NN 39713 26 12 3 3 CD 39713 26 13 SCIENCE SCIENCE NNP 39713 26 14 AND and CC 39713 26 15 HYPOTHESIS hypothesi NNS 39713 26 16 Introduction introduction NN 39713 26 17 by by IN 39713 26 18 Royce Royce NNP 39713 26 19 9 9 CD 39713 26 20 Introduction introduction NN 39713 26 21 27 27 CD 39713 26 22 PART part NN 39713 26 23 I. i. NN 39713 27 1 _ _ NNP 39713 27 2 Number Number NNP 39713 27 3 and and CC 39713 27 4 Magnitude Magnitude NNP 39713 27 5 _ _ NNP 39713 27 6 CHAPTER CHAPTER NNP 39713 27 7 I.--On I.--On VBZ 39713 27 8 the the DT 39713 27 9 Nature Nature NNP 39713 27 10 of of IN 39713 27 11 Mathematical Mathematical NNP 39713 27 12 Reasoning Reasoning NNP 39713 27 13 31 31 CD 39713 27 14 Syllogistic Syllogistic NNP 39713 27 15 Deduction Deduction NNP 39713 27 16 31 31 CD 39713 27 17 Verification Verification NNP 39713 27 18 and and CC 39713 27 19 Proof Proof NNP 39713 27 20 32 32 CD 39713 27 21 Elements Elements NNPS 39713 27 22 of of IN 39713 27 23 Arithmetic Arithmetic NNP 39713 27 24 33 33 CD 39713 27 25 Reasoning Reasoning NNP 39713 27 26 by by IN 39713 27 27 Recurrence Recurrence NNP 39713 27 28 37 37 CD 39713 27 29 Induction Induction NNP 39713 27 30 40 40 CD 39713 27 31 Mathematical Mathematical NNP 39713 27 32 Construction Construction NNP 39713 27 33 41 41 CD 39713 27 34 CHAPTER chapter NN 39713 27 35 II.--Mathematical II.--Mathematical NNP 39713 27 36 Magnitude Magnitude NNP 39713 27 37 and and CC 39713 27 38 Experience experience NN 39713 27 39 43 43 CD 39713 27 40 Definition definition CD 39713 27 41 of of IN 39713 27 42 Incommensurables Incommensurables NNP 39713 27 43 44 44 CD 39713 27 44 The the DT 39713 27 45 Physical Physical NNP 39713 27 46 Continuum Continuum NNP 39713 27 47 46 46 CD 39713 27 48 Creation Creation NNP 39713 27 49 of of IN 39713 27 50 the the DT 39713 27 51 Mathematical Mathematical NNP 39713 27 52 Continuum Continuum NNP 39713 27 53 46 46 CD 39713 27 54 Measurable Measurable NNP 39713 27 55 Magnitude Magnitude NNP 39713 27 56 49 49 CD 39713 27 57 Various various JJ 39713 27 58 Remarks Remarks NNPS 39713 27 59 ( ( -LRB- 39713 27 60 Curves curve NNS 39713 27 61 without without IN 39713 27 62 Tangents tangent NNS 39713 27 63 ) ) -RRB- 39713 27 64 50 50 CD 39713 27 65 The the DT 39713 27 66 Physical Physical NNP 39713 27 67 Continuum Continuum NNP 39713 27 68 of of IN 39713 27 69 Several Several NNP 39713 27 70 Dimensions Dimensions NNPS 39713 27 71 52 52 CD 39713 27 72 The the DT 39713 27 73 Mathematical Mathematical NNP 39713 27 74 Continuum Continuum NNP 39713 27 75 of of IN 39713 27 76 Several Several NNP 39713 27 77 Dimensions Dimensions NNPS 39713 27 78 53 53 CD 39713 27 79 PART PART VBN 39713 27 80 II ii CD 39713 27 81 . . . 39713 28 1 _ _ NNP 39713 28 2 Space Space NNP 39713 28 3 _ _ NNP 39713 28 4 CHAPTER CHAPTER NNP 39713 28 5 III.--The III.--The NNP 39713 28 6 Non non JJ 39713 28 7 - - JJ 39713 28 8 Euclidean euclidean JJ 39713 28 9 Geometries geometry NNS 39713 28 10 55 55 CD 39713 28 11 The the DT 39713 28 12 Bolyai Bolyai NNP 39713 28 13 - - HYPH 39713 28 14 Lobachevski Lobachevski NNP 39713 28 15 Geometry Geometry NNP 39713 28 16 56 56 CD 39713 28 17 Riemann Riemann NNP 39713 28 18 's 's POS 39713 28 19 Geometry Geometry NNP 39713 28 20 57 57 CD 39713 28 21 The the DT 39713 28 22 Surfaces surface NNS 39713 28 23 of of IN 39713 28 24 Constant Constant NNP 39713 28 25 Curvature Curvature NNP 39713 28 26 58 58 CD 39713 28 27 Interpretation interpretation NN 39713 28 28 of of IN 39713 28 29 Non non JJ 39713 28 30 - - JJ 39713 28 31 Euclidean euclidean JJ 39713 28 32 Geometries geometry NNS 39713 28 33 59 59 CD 39713 28 34 The the DT 39713 28 35 Implicit Implicit NNP 39713 28 36 Axioms axiom NNS 39713 28 37 60 60 CD 39713 28 38 The the DT 39713 28 39 Fourth Fourth NNP 39713 28 40 Geometry geometry NN 39713 28 41 62 62 CD 39713 28 42 Lie Lie NNP 39713 28 43 's 's POS 39713 28 44 Theorem Theorem NNP 39713 28 45 62 62 CD 39713 28 46 Riemann Riemann NNP 39713 28 47 's 's POS 39713 28 48 Geometries Geometries NNPS 39713 28 49 63 63 CD 39713 28 50 On on IN 39713 28 51 the the DT 39713 28 52 Nature Nature NNP 39713 28 53 of of IN 39713 28 54 Axioms Axioms NNP 39713 28 55 63 63 CD 39713 28 56 CHAPTER CHAPTER NNP 39713 28 57 IV.--Space IV.--Space NNP 39713 28 58 and and CC 39713 28 59 Geometry Geometry NNP 39713 28 60 66 66 CD 39713 28 61 Geometric Geometric NNP 39713 28 62 Space Space NNP 39713 28 63 and and CC 39713 28 64 Perceptual Perceptual NNP 39713 28 65 Space Space NNP 39713 28 66 66 66 CD 39713 28 67 Visual Visual NNP 39713 28 68 Space space NN 39713 28 69 67 67 CD 39713 28 70 Tactile Tactile NNP 39713 28 71 Space Space NNP 39713 28 72 and and CC 39713 28 73 Motor Motor NNP 39713 28 74 Space Space NNP 39713 28 75 68 68 CD 39713 28 76 Characteristics Characteristics NNP 39713 28 77 of of IN 39713 28 78 Perceptual Perceptual NNP 39713 28 79 Space Space NNP 39713 28 80 69 69 CD 39713 28 81 Change Change NNP 39713 28 82 of of IN 39713 28 83 State State NNP 39713 28 84 and and CC 39713 28 85 Change Change NNP 39713 28 86 of of IN 39713 28 87 Position Position NNP 39713 28 88 70 70 CD 39713 28 89 Conditions Conditions NNPS 39713 28 90 of of IN 39713 28 91 Compensation Compensation NNP 39713 28 92 72 72 CD 39713 28 93 Solid Solid NNPS 39713 28 94 Bodies Bodies NNPS 39713 28 95 and and CC 39713 28 96 Geometry Geometry NNP 39713 28 97 72 72 CD 39713 28 98 Law Law NNP 39713 28 99 of of IN 39713 28 100 Homogeneity Homogeneity NNP 39713 28 101 74 74 CD 39713 28 102 The the DT 39713 28 103 Non non JJ 39713 28 104 - - JJ 39713 28 105 Euclidean euclidean JJ 39713 28 106 World world NN 39713 28 107 75 75 CD 39713 28 108 The the DT 39713 28 109 World World NNP 39713 28 110 of of IN 39713 28 111 Four Four NNP 39713 28 112 Dimensions Dimensions NNPS 39713 28 113 78 78 CD 39713 28 114 Conclusions Conclusions NNPS 39713 28 115 79 79 CD 39713 28 116 CHAPTER chapter NN 39713 28 117 V.--Experience v.--experience NN 39713 28 118 and and CC 39713 28 119 Geometry Geometry NNP 39713 28 120 81 81 CD 39713 28 121 Geometry Geometry NNP 39713 28 122 and and CC 39713 28 123 Astronomy Astronomy NNP 39713 28 124 81 81 CD 39713 28 125 The the DT 39713 28 126 Law Law NNP 39713 28 127 of of IN 39713 28 128 Relativity Relativity NNP 39713 28 129 83 83 CD 39713 28 130 Bearing bearing NN 39713 28 131 of of IN 39713 28 132 Experiments experiment NNS 39713 28 133 86 86 CD 39713 28 134 Supplement supplement NN 39713 28 135 ( ( -LRB- 39713 28 136 What what WP 39713 28 137 is be VBZ 39713 28 138 a a DT 39713 28 139 Point Point NNP 39713 28 140 ? ? . 39713 28 141 ) ) -RRB- 39713 29 1 89 89 CD 39713 29 2 Ancestral ancestral JJ 39713 29 3 Experience experience NN 39713 29 4 91 91 CD 39713 29 5 PART part NN 39713 29 6 III iii CD 39713 29 7 . . . 39713 30 1 _ _ NNP 39713 30 2 Force Force NNP 39713 30 3 _ _ NNP 39713 30 4 CHAPTER CHAPTER NNP 39713 30 5 VI.--The VI.--The NNP 39713 30 6 Classic Classic NNP 39713 30 7 Mechanics Mechanics NNPS 39713 30 8 92 92 CD 39713 30 9 The the DT 39713 30 10 Principle principle NN 39713 30 11 of of IN 39713 30 12 Inertia Inertia NNP 39713 30 13 93 93 CD 39713 30 14 The the DT 39713 30 15 Law Law NNP 39713 30 16 of of IN 39713 30 17 Acceleration acceleration NN 39713 30 18 97 97 CD 39713 30 19 Anthropomorphic Anthropomorphic NNP 39713 30 20 Mechanics Mechanics NNPS 39713 30 21 103 103 CD 39713 30 22 The the DT 39713 30 23 School School NNP 39713 30 24 of of IN 39713 30 25 the the DT 39713 30 26 Thread Thread NNP 39713 30 27 104 104 CD 39713 30 28 CHAPTER chapter NN 39713 30 29 VII.--Relative VII.--Relative NNP 39713 30 30 Motion Motion NNP 39713 30 31 and and CC 39713 30 32 Absolute Absolute NNP 39713 30 33 Motion Motion NNP 39713 30 34 107 107 CD 39713 30 35 The the DT 39713 30 36 Principle Principle NNP 39713 30 37 of of IN 39713 30 38 Relative Relative NNP 39713 30 39 Motion Motion NNP 39713 30 40 107 107 CD 39713 30 41 Newton Newton NNP 39713 30 42 's 's POS 39713 30 43 Argument Argument NNP 39713 30 44 108 108 CD 39713 30 45 CHAPTER chapter NN 39713 30 46 VIII.--Energy viii.--energy NN 39713 30 47 and and CC 39713 30 48 Thermodynamics Thermodynamics NNP 39713 30 49 115 115 CD 39713 30 50 Energetics Energetics NNP 39713 30 51 115 115 CD 39713 30 52 Thermodynamics Thermodynamics NNP 39713 30 53 119 119 CD 39713 30 54 General General NNP 39713 30 55 Conclusions Conclusions NNPS 39713 30 56 on on IN 39713 30 57 Part Part NNP 39713 30 58 III III NNP 39713 30 59 123 123 CD 39713 30 60 PART PART NNP 39713 30 61 IV IV NNP 39713 30 62 . . . 39713 31 1 _ _ NNP 39713 31 2 Nature Nature NNP 39713 31 3 _ _ NNP 39713 31 4 CHAPTER CHAPTER NNP 39713 31 5 IX.--Hypotheses ix.--hypothese NNS 39713 31 6 in in IN 39713 31 7 Physics Physics NNP 39713 31 8 127 127 CD 39713 31 9 The the DT 39713 31 10 Rôle Rôle NNP 39713 31 11 of of IN 39713 31 12 Experiment Experiment NNP 39713 31 13 and and CC 39713 31 14 Generalization Generalization NNP 39713 31 15 127 127 CD 39713 31 16 The the DT 39713 31 17 Unity Unity NNP 39713 31 18 of of IN 39713 31 19 Nature nature NN 39713 31 20 130 130 CD 39713 31 21 The the DT 39713 31 22 Rôle Rôle NNP 39713 31 23 of of IN 39713 31 24 Hypothesis hypothesis NN 39713 31 25 133 133 CD 39713 31 26 Origin Origin NNP 39713 31 27 of of IN 39713 31 28 Mathematical Mathematical NNP 39713 31 29 Physics Physics NNP 39713 31 30 136 136 CD 39713 31 31 CHAPTER chapter NN 39713 31 32 X.--The X.--The NNS 39713 31 33 Theories theory NNS 39713 31 34 of of IN 39713 31 35 Modern Modern NNP 39713 31 36 Physics Physics NNP 39713 31 37 140 140 CD 39713 31 38 Meaning Meaning NNP 39713 31 39 of of IN 39713 31 40 Physical Physical NNP 39713 31 41 Theories Theories NNPS 39713 31 42 140 140 NNP 39713 31 43 Physics Physics NNP 39713 31 44 and and CC 39713 31 45 Mechanism Mechanism NNP 39713 31 46 144 144 CD 39713 31 47 Present Present NNP 39713 31 48 State State NNP 39713 31 49 of of IN 39713 31 50 the the DT 39713 31 51 Science Science NNP 39713 31 52 148 148 CD 39713 31 53 CHAPTER chapter NN 39713 31 54 XI.--The XI.--The NNP 39713 31 55 Calculus Calculus NNP 39713 31 56 of of IN 39713 31 57 Probabilities Probabilities NNP 39713 31 58 155 155 CD 39713 31 59 Classification classification NN 39713 31 60 of of IN 39713 31 61 the the DT 39713 31 62 Problems Problems NNPS 39713 31 63 of of IN 39713 31 64 Probability Probability NNP 39713 31 65 158 158 CD 39713 31 66 Probability Probability NNP 39713 31 67 in in IN 39713 31 68 Mathematics Mathematics NNP 39713 31 69 161 161 CD 39713 31 70 Probability probability NN 39713 31 71 in in IN 39713 31 72 the the DT 39713 31 73 Physical Physical NNP 39713 31 74 Sciences Sciences NNPS 39713 31 75 164 164 NNP 39713 31 76 Rouge Rouge NNP 39713 31 77 et et NN 39713 31 78 noir noir NN 39713 31 79 167 167 CD 39713 31 80 The the DT 39713 31 81 Probability Probability NNP 39713 31 82 of of IN 39713 31 83 Causes Causes NNPS 39713 31 84 169 169 CD 39713 31 85 The the DT 39713 31 86 Theory Theory NNP 39713 31 87 of of IN 39713 31 88 Errors Errors NNPS 39713 31 89 170 170 CD 39713 31 90 Conclusions Conclusions NNPS 39713 31 91 172 172 CD 39713 31 92 CHAPTER CHAPTER NNP 39713 31 93 XII.--Optics XII.--Optics NNP 39713 31 94 and and CC 39713 31 95 Electricity Electricity NNP 39713 31 96 174 174 CD 39713 31 97 Fresnel Fresnel NNP 39713 31 98 's 's POS 39713 31 99 Theory Theory NNP 39713 31 100 174 174 CD 39713 31 101 Maxwell Maxwell NNP 39713 31 102 's 's POS 39713 31 103 Theory theory NN 39713 31 104 175 175 CD 39713 31 105 The the DT 39713 31 106 Mechanical Mechanical NNP 39713 31 107 Explanation Explanation NNP 39713 31 108 of of IN 39713 31 109 Physical Physical NNP 39713 31 110 Phenomena Phenomena NNP 39713 31 111 177 177 CD 39713 31 112 CHAPTER CHAPTER NNP 39713 31 113 XIII.--Electrodynamics XIII.--Electrodynamics NNP 39713 31 114 184 184 CD 39713 31 115 Ampère Ampère NNP 39713 31 116 's 's POS 39713 31 117 Theory Theory NNP 39713 31 118 184 184 CD 39713 31 119 Closed close VBD 39713 31 120 Currents current NNS 39713 31 121 185 185 CD 39713 31 122 Action action NN 39713 31 123 of of IN 39713 31 124 a a DT 39713 31 125 Closed Closed NNP 39713 31 126 Current Current NNP 39713 31 127 on on IN 39713 31 128 a a DT 39713 31 129 Portion Portion NNP 39713 31 130 of of IN 39713 31 131 Current current JJ 39713 31 132 186 186 CD 39713 31 133 Continuous continuous JJ 39713 31 134 Rotations rotation NNS 39713 31 135 187 187 CD 39713 31 136 Mutual mutual JJ 39713 31 137 Action action NN 39713 31 138 of of IN 39713 31 139 Two Two NNP 39713 31 140 Open Open NNP 39713 31 141 Currents Currents NNPS 39713 31 142 189 189 CD 39713 31 143 Induction Induction NNP 39713 31 144 190 190 CD 39713 31 145 Theory Theory NNP 39713 31 146 of of IN 39713 31 147 Helmholtz Helmholtz NNP 39713 31 148 191 191 CD 39713 31 149 Difficulties difficulty NNS 39713 31 150 Raised raise VBN 39713 31 151 by by IN 39713 31 152 these these DT 39713 31 153 Theories theory NNS 39713 31 154 193 193 CD 39713 31 155 Maxwell Maxwell NNP 39713 31 156 's 's POS 39713 31 157 Theory Theory NNP 39713 31 158 193 193 CD 39713 31 159 Rowland Rowland NNP 39713 31 160 's 's POS 39713 31 161 Experiment Experiment NNP 39713 31 162 194 194 CD 39713 31 163 The the DT 39713 31 164 Theory Theory NNP 39713 31 165 of of IN 39713 31 166 Lorentz Lorentz NNP 39713 31 167 196 196 CD 39713 31 168 THE the DT 39713 31 169 VALUE value NN 39713 31 170 OF of IN 39713 31 171 SCIENCE SCIENCE NNP 39713 31 172 Translator translator NN 39713 31 173 's 's POS 39713 31 174 Introduction introduction NN 39713 31 175 201 201 CD 39713 31 176 Does do VBZ 39713 31 177 the the DT 39713 31 178 Scientist Scientist NNP 39713 31 179 Create create VB 39713 31 180 Science Science NNP 39713 31 181 ? ? . 39713 32 1 201 201 CD 39713 32 2 The the DT 39713 32 3 Mind Mind NNP 39713 32 4 Dispelling dispel VBG 39713 32 5 Optical optical JJ 39713 32 6 Illusions illusion NNS 39713 32 7 202 202 CD 39713 32 8 Euclid euclid JJ 39713 32 9 not not RB 39713 32 10 Necessary necessary JJ 39713 32 11 202 202 CD 39713 32 12 Without without IN 39713 32 13 Hypotheses Hypotheses NNPS 39713 32 14 , , , 39713 32 15 no no NNP 39713 32 16 Science science NN 39713 32 17 203 203 CD 39713 32 18 What what WP 39713 32 19 Outcome Outcome NNP 39713 32 20 ? ? . 39713 33 1 203 203 CD 39713 33 2 Introduction introduction NN 39713 33 3 205 205 CD 39713 33 4 PART PART NNP 39713 33 5 I. i. NN 39713 34 1 _ _ NNP 39713 34 2 The the DT 39713 34 3 Mathematical Mathematical NNP 39713 34 4 Sciences Sciences NNPS 39713 34 5 _ _ NNP 39713 34 6 CHAPTER CHAPTER NNP 39713 34 7 I.--Intuition i.--intuition NN 39713 34 8 and and CC 39713 34 9 Logic Logic NNP 39713 34 10 in in IN 39713 34 11 Mathematics Mathematics NNP 39713 34 12 210 210 CD 39713 34 13 CHAPTER CHAPTER NNP 39713 34 14 II.--The II.--The NNP 39713 34 15 Measure measure NN 39713 34 16 of of IN 39713 34 17 Time Time NNP 39713 34 18 223 223 CD 39713 34 19 CHAPTER CHAPTER NNP 39713 34 20 III.--The III.--The NNP 39713 34 21 Notion Notion NNP 39713 34 22 of of IN 39713 34 23 Space Space NNP 39713 34 24 235 235 CD 39713 34 25 Qualitative Qualitative NNP 39713 34 26 Geometry Geometry NNP 39713 34 27 238 238 CD 39713 34 28 The the DT 39713 34 29 Physical Physical NNP 39713 34 30 Continuum Continuum NNP 39713 34 31 of of IN 39713 34 32 Several Several NNP 39713 34 33 Dimensions Dimensions NNPS 39713 34 34 240 240 CD 39713 34 35 The the DT 39713 34 36 Notion Notion NNP 39713 34 37 of of IN 39713 34 38 Point Point NNP 39713 34 39 244 244 CD 39713 34 40 The the DT 39713 34 41 Notion Notion NNP 39713 34 42 of of IN 39713 34 43 Displacement Displacement NNP 39713 34 44 247 247 CD 39713 34 45 Visual visual JJ 39713 34 46 Space space NN 39713 34 47 252 252 CD 39713 34 48 CHAPTER CHAPTER NNP 39713 34 49 IV.--Space IV.--Space NNP 39713 34 50 and and CC 39713 34 51 its -PRON- PRP$ 39713 34 52 Three three CD 39713 34 53 Dimensions Dimensions NNPS 39713 34 54 256 256 CD 39713 34 55 The the DT 39713 34 56 Group Group NNP 39713 34 57 of of IN 39713 34 58 Displacements Displacements NNPS 39713 34 59 256 256 CD 39713 34 60 Identity Identity NNP 39713 34 61 of of IN 39713 34 62 Two two CD 39713 34 63 Points Points NNPS 39713 34 64 259 259 CD 39713 34 65 Tactile Tactile NNP 39713 34 66 Space Space NNP 39713 34 67 264 264 CD 39713 34 68 Identity Identity NNP 39713 34 69 of of IN 39713 34 70 the the DT 39713 34 71 Different Different NNP 39713 34 72 Spaces Spaces NNPS 39713 34 73 268 268 CD 39713 34 74 Space Space NNP 39713 34 75 and and CC 39713 34 76 Empiricism Empiricism NNP 39713 34 77 271 271 CD 39713 34 78 Rôle Rôle NNP 39713 34 79 of of IN 39713 34 80 the the DT 39713 34 81 Semicircular Semicircular NNP 39713 34 82 Canals Canals NNP 39713 34 83 276 276 CD 39713 34 84 PART PART VBN 39713 34 85 II ii CD 39713 34 86 . . . 39713 35 1 _ _ NNP 39713 35 2 The the DT 39713 35 3 Physical Physical NNP 39713 35 4 Sciences Sciences NNPS 39713 35 5 _ _ NNP 39713 35 6 CHAPTER CHAPTER NNP 39713 35 7 V.--Analysis v.--analysi NNS 39713 35 8 and and CC 39713 35 9 Physics Physics NNP 39713 35 10 279 279 CD 39713 35 11 CHAPTER chapter NN 39713 35 12 VI.--Astronomy vi.--astronomy NN 39713 35 13 289 289 CD 39713 35 14 CHAPTER CHAPTER NNP 39713 35 15 VII.--The VII.--The NNP 39713 35 16 History history NN 39713 35 17 of of IN 39713 35 18 Mathematical Mathematical NNP 39713 35 19 Physics Physics NNP 39713 35 20 297 297 CD 39713 35 21 The the DT 39713 35 22 Physics Physics NNP 39713 35 23 of of IN 39713 35 24 Central Central NNP 39713 35 25 Forces Forces NNPS 39713 35 26 297 297 CD 39713 35 27 The the DT 39713 35 28 Physics Physics NNP 39713 35 29 of of IN 39713 35 30 the the DT 39713 35 31 Principles Principles NNPS 39713 35 32 299 299 CD 39713 35 33 CHAPTER chapter NN 39713 35 34 VIII.--The viii.--the NN 39713 35 35 Present present JJ 39713 35 36 Crisis Crisis NNP 39713 35 37 in in IN 39713 35 38 Physics Physics NNP 39713 35 39 303 303 CD 39713 35 40 The the DT 39713 35 41 New New NNP 39713 35 42 Crisis Crisis NNP 39713 35 43 303 303 CD 39713 35 44 Carnot Carnot NNP 39713 35 45 's 's POS 39713 35 46 Principle principle NN 39713 35 47 303 303 CD 39713 35 48 The the DT 39713 35 49 Principle Principle NNP 39713 35 50 of of IN 39713 35 51 Relativity Relativity NNP 39713 35 52 305 305 CD 39713 35 53 Newton Newton NNP 39713 35 54 's 's POS 39713 35 55 Principle principle NN 39713 35 56 308 308 CD 39713 35 57 Lavoisier Lavoisier NNP 39713 35 58 's 's POS 39713 35 59 Principle Principle NNP 39713 35 60 310 310 CD 39713 35 61 Mayer Mayer NNP 39713 35 62 's 's POS 39713 35 63 Principle Principle NNP 39713 35 64 312 312 CD 39713 35 65 CHAPTER chapter NN 39713 35 66 IX.--The IX.--The NNP 39713 35 67 Future Future NNP 39713 35 68 of of IN 39713 35 69 Mathematical Mathematical NNP 39713 35 70 Physics Physics NNP 39713 35 71 314 314 CD 39713 35 72 The the DT 39713 35 73 Principles Principles NNPS 39713 35 74 and and CC 39713 35 75 Experiment Experiment NNP 39713 35 76 314 314 CD 39713 35 77 The the DT 39713 35 78 Rôle Rôle NNP 39713 35 79 of of IN 39713 35 80 the the DT 39713 35 81 Analyst Analyst NNP 39713 35 82 314 314 CD 39713 35 83 Aberration Aberration NNP 39713 35 84 and and CC 39713 35 85 Astronomy Astronomy NNP 39713 35 86 315 315 NNP 39713 35 87 Electrons Electrons NNPS 39713 35 88 and and CC 39713 35 89 Spectra Spectra NNP 39713 35 90 316 316 CD 39713 35 91 Conventions Conventions NNPS 39713 35 92 preceding precede VBG 39713 35 93 Experiment Experiment NNP 39713 35 94 317 317 CD 39713 35 95 Future Future NNP 39713 35 96 Mathematical Mathematical NNP 39713 35 97 Physics Physics NNP 39713 35 98 319 319 CD 39713 35 99 PART PART NNP 39713 35 100 III iii CD 39713 35 101 . . . 39713 36 1 _ _ NNP 39713 36 2 The the DT 39713 36 3 Objective Objective NNP 39713 36 4 Value Value NNP 39713 36 5 of of IN 39713 36 6 Science Science NNP 39713 36 7 _ _ NNP 39713 36 8 CHAPTER CHAPTER NNP 39713 36 9 X.--Is x.--is NN 39713 36 10 Science Science NNP 39713 36 11 Artificial Artificial NNP 39713 36 12 ? ? . 39713 37 1 321 321 CD 39713 37 2 The the DT 39713 37 3 Philosophy Philosophy NNP 39713 37 4 of of IN 39713 37 5 LeRoy LeRoy NNP 39713 37 6 321 321 CD 39713 37 7 Science Science NNP 39713 37 8 , , , 39713 37 9 Rule Rule NNP 39713 37 10 of of IN 39713 37 11 Action Action NNP 39713 37 12 323 323 CD 39713 37 13 The the DT 39713 37 14 Crude Crude NNP 39713 37 15 Fact Fact NNP 39713 37 16 and and CC 39713 37 17 the the DT 39713 37 18 Scientific Scientific NNP 39713 37 19 Fact Fact NNP 39713 37 20 325 325 CD 39713 37 21 Nominalism nominalism NN 39713 37 22 and and CC 39713 37 23 the the DT 39713 37 24 Universal Universal NNP 39713 37 25 Invariant Invariant NNP 39713 37 26 333 333 CD 39713 37 27 CHAPTER CHAPTER NNP 39713 37 28 XI.--Science XI.--Science NNP 39713 37 29 and and CC 39713 37 30 Reality reality NN 39713 37 31 340 340 CD 39713 37 32 Contingence Contingence NNP 39713 37 33 and and CC 39713 37 34 Determinism Determinism NNP 39713 37 35 340 340 CD 39713 37 36 Objectivity objectivity NN 39713 37 37 of of IN 39713 37 38 Science Science NNP 39713 37 39 347 347 CD 39713 37 40 The the DT 39713 37 41 Rotation Rotation NNP 39713 37 42 of of IN 39713 37 43 the the DT 39713 37 44 Earth Earth NNP 39713 37 45 353 353 CD 39713 37 46 Science science NN 39713 37 47 for for IN 39713 37 48 Its -PRON- PRP$ 39713 37 49 Own own JJ 39713 37 50 Sake sake NN 39713 37 51 354 354 CD 39713 37 52 SCIENCE SCIENCE NNP 39713 37 53 AND and CC 39713 37 54 METHOD method NN 39713 37 55 Introduction Introduction NNP 39713 37 56 359 359 CD 39713 37 57 BOOK book NN 39713 37 58 I. i. NN 39713 38 1 _ _ NNP 39713 38 2 Science Science NNP 39713 38 3 and and CC 39713 38 4 the the DT 39713 38 5 Scientist Scientist NNP 39713 38 6 _ _ NNP 39713 38 7 CHAPTER CHAPTER NNP 39713 38 8 I.--The i.--the NN 39713 38 9 Choice Choice NNP 39713 38 10 of of IN 39713 38 11 Facts Facts NNP 39713 38 12 362 362 CD 39713 38 13 CHAPTER CHAPTER NNP 39713 38 14 II.--The ii.--the NN 39713 38 15 Future Future NNP 39713 38 16 of of IN 39713 38 17 Mathematics Mathematics NNP 39713 38 18 369 369 CD 39713 38 19 CHAPTER CHAPTER NNP 39713 38 20 III.--Mathematical III.--Mathematical NNP 39713 38 21 Creation Creation NNP 39713 38 22 383 383 CD 39713 38 23 CHAPTER CHAPTER NNP 39713 38 24 IV.--Chance IV.--Chance NNP 39713 38 25 395 395 CD 39713 38 26 BOOK BOOK NNP 39713 38 27 II ii CD 39713 38 28 . . . 39713 39 1 _ _ NNP 39713 39 2 Mathematical Mathematical NNP 39713 39 3 Reasoning Reasoning NNP 39713 39 4 _ _ NNP 39713 39 5 CHAPTER CHAPTER NNP 39713 39 6 I.--The i.--the NN 39713 39 7 Relativity Relativity NNP 39713 39 8 of of IN 39713 39 9 Space Space NNP 39713 39 10 413 413 CD 39713 39 11 CHAPTER CHAPTER NNP 39713 39 12 II.--Mathematical II.--Mathematical NNP 39713 39 13 Definitions Definitions NNPS 39713 39 14 and and CC 39713 39 15 Teaching Teaching NNP 39713 39 16 430 430 CD 39713 39 17 CHAPTER CHAPTER NNP 39713 39 18 III.--Mathematics III.--Mathematics NNP 39713 39 19 and and CC 39713 39 20 Logic Logic NNP 39713 39 21 448 448 CD 39713 39 22 CHAPTER chapter NN 39713 39 23 IV.--The iv.--the JJ 39713 39 24 New New NNP 39713 39 25 Logics Logics NNP 39713 39 26 460 460 CD 39713 39 27 CHAPTER chapter NN 39713 39 28 V.--The V.--The NNS 39713 39 29 Latest Latest NNP 39713 39 30 Efforts effort NNS 39713 39 31 of of IN 39713 39 32 the the DT 39713 39 33 Logisticians Logisticians NNPS 39713 39 34 472 472 CD 39713 39 35 BOOK BOOK NNS 39713 39 36 III iii CD 39713 39 37 . . . 39713 40 1 _ _ NNP 39713 40 2 The the DT 39713 40 3 New New NNP 39713 40 4 Mechanics Mechanics NNPS 39713 40 5 _ _ NNP 39713 40 6 CHAPTER CHAPTER NNP 39713 40 7 I.--Mechanics i.--mechanic NNS 39713 40 8 and and CC 39713 40 9 Radium Radium NNP 39713 40 10 486 486 CD 39713 40 11 CHAPTER CHAPTER NNP 39713 40 12 II.--Mechanics II.--Mechanics NNPS 39713 40 13 and and CC 39713 40 14 Optics Optics NNP 39713 40 15 496 496 CD 39713 40 16 CHAPTER chapter NN 39713 40 17 III.--The III.--The NNP 39713 40 18 New New NNP 39713 40 19 Mechanics Mechanics NNP 39713 40 20 and and CC 39713 40 21 Astronomy Astronomy NNP 39713 40 22 512 512 CD 39713 40 23 BOOK BOOK NNP 39713 40 24 IV IV NNP 39713 40 25 . . . 39713 41 1 _ _ NNP 39713 41 2 Astronomic Astronomic NNP 39713 41 3 Science Science NNP 39713 41 4 _ _ NNP 39713 41 5 CHAPTER CHAPTER NNP 39713 41 6 I.--The i.--the NN 39713 41 7 Milky Milky NNP 39713 41 8 Way Way NNP 39713 41 9 and and CC 39713 41 10 the the DT 39713 41 11 Theory Theory NNP 39713 41 12 of of IN 39713 41 13 Gases Gases NNP 39713 41 14 523 523 CD 39713 41 15 CHAPTER chapter NN 39713 41 16 II.--French II.--French NNP 39713 41 17 Geodesy Geodesy NNP 39713 41 18 535 535 CD 39713 41 19 General General NNP 39713 41 20 Conclusions Conclusions NNPS 39713 41 21 544 544 NNP 39713 41 22 Index Index NNP 39713 41 23 547 547 CD 39713 41 24 HENRI HENRI NNP 39713 41 25 POINCARÉ poincaré NN 39713 41 26 SIR SIR NNP 39713 41 27 GEORGE GEORGE NNP 39713 41 28 DARWIN DARWIN NNP 39713 41 29 , , , 39713 41 30 worthy worthy JJ 39713 41 31 son son NN 39713 41 32 of of IN 39713 41 33 an an DT 39713 41 34 immortal immortal JJ 39713 41 35 father father NN 39713 41 36 , , , 39713 41 37 said say VBD 39713 41 38 , , , 39713 41 39 referring refer VBG 39713 41 40 to to IN 39713 41 41 what what WP 39713 41 42 Poincaré Poincaré NNP 39713 41 43 was be VBD 39713 41 44 to to IN 39713 41 45 him -PRON- PRP 39713 41 46 and and CC 39713 41 47 to to IN 39713 41 48 his -PRON- PRP$ 39713 41 49 work work NN 39713 41 50 : : : 39713 41 51 " " `` 39713 41 52 He -PRON- PRP 39713 41 53 must must MD 39713 41 54 be be VB 39713 41 55 regarded regard VBN 39713 41 56 as as IN 39713 41 57 the the DT 39713 41 58 presiding preside VBG 39713 41 59 genius genius NN 39713 41 60 -- -- : 39713 41 61 or or CC 39713 41 62 , , , 39713 41 63 shall shall MD 39713 41 64 I -PRON- PRP 39713 41 65 say say VB 39713 41 66 , , , 39713 41 67 my -PRON- PRP$ 39713 41 68 patron patron NN 39713 41 69 saint saint NN 39713 41 70 ? ? . 39713 41 71 " " '' 39713 42 1 Henri Henri NNP 39713 42 2 Poincaré Poincaré NNP 39713 42 3 was be VBD 39713 42 4 born bear VBN 39713 42 5 April April NNP 39713 42 6 29 29 CD 39713 42 7 , , , 39713 42 8 1854 1854 CD 39713 42 9 , , , 39713 42 10 at at IN 39713 42 11 Nancy Nancy NNP 39713 42 12 , , , 39713 42 13 where where WRB 39713 42 14 his -PRON- PRP$ 39713 42 15 father father NN 39713 42 16 was be VBD 39713 42 17 a a DT 39713 42 18 physician physician NN 39713 42 19 highly highly RB 39713 42 20 respected respected JJ 39713 42 21 . . . 39713 43 1 His -PRON- PRP$ 39713 43 2 schooling schooling NN 39713 43 3 was be VBD 39713 43 4 broken break VBN 39713 43 5 into into IN 39713 43 6 by by IN 39713 43 7 the the DT 39713 43 8 war war NN 39713 43 9 of of IN 39713 43 10 1870 1870 CD 39713 43 11 - - SYM 39713 43 12 71 71 CD 39713 43 13 , , , 39713 43 14 to to TO 39713 43 15 get get VB 39713 43 16 news news NN 39713 43 17 of of IN 39713 43 18 which which WDT 39713 43 19 he -PRON- PRP 39713 43 20 learned learn VBD 39713 43 21 to to TO 39713 43 22 read read VB 39713 43 23 the the DT 39713 43 24 German german JJ 39713 43 25 newspapers newspaper NNS 39713 43 26 . . . 39713 44 1 He -PRON- PRP 39713 44 2 outclassed outclass VBD 39713 44 3 the the DT 39713 44 4 other other JJ 39713 44 5 boys boy NNS 39713 44 6 of of IN 39713 44 7 his -PRON- PRP$ 39713 44 8 age age NN 39713 44 9 in in IN 39713 44 10 all all DT 39713 44 11 subjects subject NNS 39713 44 12 and and CC 39713 44 13 in in IN 39713 44 14 1873 1873 CD 39713 44 15 passed pass VBD 39713 44 16 highest highest RBS 39713 44 17 into into IN 39713 44 18 the the DT 39713 44 19 École École NNP 39713 44 20 Polytechnique Polytechnique NNP 39713 44 21 , , , 39713 44 22 where where WRB 39713 44 23 , , , 39713 44 24 like like IN 39713 44 25 John John NNP 39713 44 26 Bolyai Bolyai NNP 39713 44 27 at at IN 39713 44 28 Maros Maros NNP 39713 44 29 Vásárhely vásárhely RB 39713 44 30 , , , 39713 44 31 he -PRON- PRP 39713 44 32 followed follow VBD 39713 44 33 the the DT 39713 44 34 courses course NNS 39713 44 35 in in IN 39713 44 36 mathematics mathematic NNS 39713 44 37 without without IN 39713 44 38 taking take VBG 39713 44 39 a a DT 39713 44 40 note note NN 39713 44 41 and and CC 39713 44 42 without without IN 39713 44 43 the the DT 39713 44 44 syllabus syllabus NN 39713 44 45 . . . 39713 45 1 He -PRON- PRP 39713 45 2 proceeded proceed VBD 39713 45 3 in in IN 39713 45 4 1875 1875 CD 39713 45 5 to to IN 39713 45 6 the the DT 39713 45 7 School School NNP 39713 45 8 of of IN 39713 45 9 Mines Mines NNP 39713 45 10 , , , 39713 45 11 and and CC 39713 45 12 was be VBD 39713 45 13 _ _ NNP 39713 45 14 Nommé Nommé NNP 39713 45 15 _ _ NNP 39713 45 16 , , , 39713 45 17 March March NNP 39713 45 18 26 26 CD 39713 45 19 , , , 39713 45 20 1879 1879 CD 39713 45 21 . . . 39713 46 1 But but CC 39713 46 2 he -PRON- PRP 39713 46 3 won win VBD 39713 46 4 his -PRON- PRP$ 39713 46 5 doctorate doctorate NN 39713 46 6 in in IN 39713 46 7 the the DT 39713 46 8 University University NNP 39713 46 9 of of IN 39713 46 10 Paris Paris NNP 39713 46 11 , , , 39713 46 12 August August NNP 39713 46 13 1 1 CD 39713 46 14 , , , 39713 46 15 1879 1879 CD 39713 46 16 , , , 39713 46 17 and and CC 39713 46 18 was be VBD 39713 46 19 appointed appoint VBN 39713 46 20 to to TO 39713 46 21 teach teach VB 39713 46 22 in in IN 39713 46 23 the the DT 39713 46 24 Faculté Faculté NNP 39713 46 25 des des FW 39713 46 26 Sciences Sciences NNP 39713 46 27 de de NNP 39713 46 28 Caen Caen NNP 39713 46 29 , , , 39713 46 30 December December NNP 39713 46 31 1 1 CD 39713 46 32 , , , 39713 46 33 1879 1879 CD 39713 46 34 , , , 39713 46 35 whence whence NN 39713 46 36 he -PRON- PRP 39713 46 37 was be VBD 39713 46 38 quickly quickly RB 39713 46 39 called call VBN 39713 46 40 to to IN 39713 46 41 the the DT 39713 46 42 University University NNP 39713 46 43 of of IN 39713 46 44 Paris Paris NNP 39713 46 45 , , , 39713 46 46 teaching teach VBG 39713 46 47 there there RB 39713 46 48 from from IN 39713 46 49 October October NNP 39713 46 50 21 21 CD 39713 46 51 , , , 39713 46 52 1881 1881 CD 39713 46 53 , , , 39713 46 54 until until IN 39713 46 55 his -PRON- PRP$ 39713 46 56 death death NN 39713 46 57 , , , 39713 46 58 July July NNP 39713 46 59 17 17 CD 39713 46 60 , , , 39713 46 61 1912 1912 CD 39713 46 62 . . . 39713 47 1 So so CC 39713 47 2 it -PRON- PRP 39713 47 3 is be VBZ 39713 47 4 an an DT 39713 47 5 error error NN 39713 47 6 to to TO 39713 47 7 say say VB 39713 47 8 he -PRON- PRP 39713 47 9 started start VBD 39713 47 10 as as IN 39713 47 11 an an DT 39713 47 12 engineer engineer NN 39713 47 13 . . . 39713 48 1 At at IN 39713 48 2 the the DT 39713 48 3 early early JJ 39713 48 4 age age NN 39713 48 5 of of IN 39713 48 6 thirty thirty CD 39713 48 7 - - HYPH 39713 48 8 two two CD 39713 48 9 he -PRON- PRP 39713 48 10 became become VBD 39713 48 11 a a DT 39713 48 12 member member NN 39713 48 13 of of IN 39713 48 14 l'Académie l'Académie NNP 39713 48 15 des des NNP 39713 48 16 Sciences Sciences NNP 39713 48 17 , , , 39713 48 18 and and CC 39713 48 19 , , , 39713 48 20 March March NNP 39713 48 21 5 5 CD 39713 48 22 , , , 39713 48 23 1908 1908 CD 39713 48 24 , , , 39713 48 25 was be VBD 39713 48 26 chosen choose VBN 39713 48 27 Membre Membre NNP 39713 48 28 de de NNP 39713 48 29 l'Académie l'Académie NNP 39713 48 30 Française Française NNP 39713 48 31 . . . 39713 49 1 July July NNP 39713 49 2 1 1 CD 39713 49 3 , , , 39713 49 4 1909 1909 CD 39713 49 5 , , , 39713 49 6 the the DT 39713 49 7 number number NN 39713 49 8 of of IN 39713 49 9 his -PRON- PRP$ 39713 49 10 writings writing NNS 39713 49 11 was be VBD 39713 49 12 436 436 CD 39713 49 13 . . . 39713 50 1 His -PRON- PRP$ 39713 50 2 earliest early JJS 39713 50 3 publication publication NN 39713 50 4 was be VBD 39713 50 5 in in IN 39713 50 6 1878 1878 CD 39713 50 7 , , , 39713 50 8 and and CC 39713 50 9 was be VBD 39713 50 10 not not RB 39713 50 11 important important JJ 39713 50 12 . . . 39713 51 1 Afterward afterward RB 39713 51 2 came come VBD 39713 51 3 an an DT 39713 51 4 essay essay NN 39713 51 5 submitted submit VBN 39713 51 6 in in IN 39713 51 7 competition competition NN 39713 51 8 for for IN 39713 51 9 the the DT 39713 51 10 Grand Grand NNP 39713 51 11 Prix Prix NNP 39713 51 12 offered offer VBD 39713 51 13 in in IN 39713 51 14 1880 1880 CD 39713 51 15 , , , 39713 51 16 but but CC 39713 51 17 it -PRON- PRP 39713 51 18 did do VBD 39713 51 19 not not RB 39713 51 20 win win VB 39713 51 21 . . . 39713 52 1 Suddenly suddenly RB 39713 52 2 there there EX 39713 52 3 came come VBD 39713 52 4 a a DT 39713 52 5 change change NN 39713 52 6 , , , 39713 52 7 a a DT 39713 52 8 striking striking JJ 39713 52 9 fire fire NN 39713 52 10 , , , 39713 52 11 a a DT 39713 52 12 bursting burst VBG 39713 52 13 forth forth RB 39713 52 14 , , , 39713 52 15 in in IN 39713 52 16 February February NNP 39713 52 17 , , , 39713 52 18 1881 1881 CD 39713 52 19 , , , 39713 52 20 and and CC 39713 52 21 Poincaré Poincaré NNP 39713 52 22 tells tell VBZ 39713 52 23 us -PRON- PRP 39713 52 24 the the DT 39713 52 25 very very JJ 39713 52 26 minute minute NN 39713 52 27 it -PRON- PRP 39713 52 28 happened happen VBD 39713 52 29 . . . 39713 53 1 Mounting mount VBG 39713 53 2 an an DT 39713 53 3 omnibus omnibus NN 39713 53 4 , , , 39713 53 5 " " '' 39713 53 6 at at IN 39713 53 7 the the DT 39713 53 8 moment moment NN 39713 53 9 when when WRB 39713 53 10 I -PRON- PRP 39713 53 11 put put VBD 39713 53 12 my -PRON- PRP$ 39713 53 13 foot foot NN 39713 53 14 upon upon IN 39713 53 15 the the DT 39713 53 16 step step NN 39713 53 17 , , , 39713 53 18 the the DT 39713 53 19 idea idea NN 39713 53 20 came come VBD 39713 53 21 to to IN 39713 53 22 me -PRON- PRP 39713 53 23 , , , 39713 53 24 without without IN 39713 53 25 anything anything NN 39713 53 26 in in IN 39713 53 27 my -PRON- PRP$ 39713 53 28 previous previous JJ 39713 53 29 thoughts thought NNS 39713 53 30 seeming seem VBG 39713 53 31 to to IN 39713 53 32 foreshadow foreshadow VB 39713 53 33 it -PRON- PRP 39713 53 34 , , , 39713 53 35 that that IN 39713 53 36 the the DT 39713 53 37 transformations transformation NNS 39713 53 38 I -PRON- PRP 39713 53 39 had have VBD 39713 53 40 used use VBN 39713 53 41 to to TO 39713 53 42 define define VB 39713 53 43 the the DT 39713 53 44 Fuchsian fuchsian JJ 39713 53 45 functions function NNS 39713 53 46 were be VBD 39713 53 47 identical identical JJ 39713 53 48 with with IN 39713 53 49 those those DT 39713 53 50 of of IN 39713 53 51 non non JJ 39713 53 52 - - JJ 39713 53 53 Euclidean euclidean JJ 39713 53 54 geometry geometry NN 39713 53 55 . . . 39713 53 56 " " '' 39713 54 1 Thereby Thereby NNP 39713 54 2 was be VBD 39713 54 3 opened open VBN 39713 54 4 a a DT 39713 54 5 perspective perspective JJ 39713 54 6 new new JJ 39713 54 7 and and CC 39713 54 8 immense immense JJ 39713 54 9 . . . 39713 55 1 Moreover moreover RB 39713 55 2 , , , 39713 55 3 the the DT 39713 55 4 magic magic JJ 39713 55 5 wand wand NN 39713 55 6 of of IN 39713 55 7 his -PRON- PRP$ 39713 55 8 whole whole JJ 39713 55 9 life life NN 39713 55 10 - - HYPH 39713 55 11 work work NN 39713 55 12 had have VBD 39713 55 13 been be VBN 39713 55 14 grasped grasp VBN 39713 55 15 , , , 39713 55 16 the the DT 39713 55 17 Aladdin Aladdin NNP 39713 55 18 's 's POS 39713 55 19 lamp lamp NN 39713 55 20 had have VBD 39713 55 21 been be VBN 39713 55 22 rubbed rub VBN 39713 55 23 , , , 39713 55 24 non non JJ 39713 55 25 - - JJ 39713 55 26 Euclidean euclidean JJ 39713 55 27 geometry geometry NN 39713 55 28 , , , 39713 55 29 whose whose WP$ 39713 55 30 necromancy necromancy NN 39713 55 31 was be VBD 39713 55 32 to to TO 39713 55 33 open open VB 39713 55 34 up up RP 39713 55 35 a a DT 39713 55 36 new new JJ 39713 55 37 theory theory NN 39713 55 38 of of IN 39713 55 39 our -PRON- PRP$ 39713 55 40 universe universe NN 39713 55 41 , , , 39713 55 42 whose whose WP$ 39713 55 43 brilliant brilliant JJ 39713 55 44 exposition exposition NN 39713 55 45 was be VBD 39713 55 46 commenced commence VBN 39713 55 47 in in IN 39713 55 48 his -PRON- PRP$ 39713 55 49 book book NN 39713 55 50 _ _ NNP 39713 55 51 Science Science NNP 39713 55 52 and and CC 39713 55 53 Hypothesis Hypothesis NNP 39713 55 54 _ _ NNP 39713 55 55 , , , 39713 55 56 which which WDT 39713 55 57 has have VBZ 39713 55 58 been be VBN 39713 55 59 translated translate VBN 39713 55 60 into into IN 39713 55 61 six six CD 39713 55 62 languages language NNS 39713 55 63 and and CC 39713 55 64 has have VBZ 39713 55 65 already already RB 39713 55 66 had have VBN 39713 55 67 a a DT 39713 55 68 circulation circulation NN 39713 55 69 of of IN 39713 55 70 over over IN 39713 55 71 20,000 20,000 CD 39713 55 72 . . . 39713 56 1 The the DT 39713 56 2 non non JJ 39713 56 3 - - JJ 39713 56 4 Euclidean euclidean JJ 39713 56 5 notion notion NN 39713 56 6 is be VBZ 39713 56 7 that that DT 39713 56 8 of of IN 39713 56 9 the the DT 39713 56 10 possibility possibility NN 39713 56 11 of of IN 39713 56 12 alternative alternative JJ 39713 56 13 laws law NNS 39713 56 14 of of IN 39713 56 15 nature nature NN 39713 56 16 , , , 39713 56 17 which which WDT 39713 56 18 in in IN 39713 56 19 the the DT 39713 56 20 Introduction introduction NN 39713 56 21 to to IN 39713 56 22 the the DT 39713 56 23 _ _ NNP 39713 56 24 Électricité Électricité NNP 39713 56 25 et et NNP 39713 56 26 Optique Optique NNP 39713 56 27 _ _ NNP 39713 56 28 , , , 39713 56 29 1901 1901 CD 39713 56 30 , , , 39713 56 31 is be VBZ 39713 56 32 thus thus RB 39713 56 33 put put VBN 39713 56 34 : : : 39713 56 35 " " `` 39713 56 36 If if IN 39713 56 37 therefore therefore RB 39713 56 38 a a DT 39713 56 39 phenomenon phenomenon NN 39713 56 40 admits admit VBZ 39713 56 41 of of IN 39713 56 42 a a DT 39713 56 43 complete complete JJ 39713 56 44 mechanical mechanical JJ 39713 56 45 explanation explanation NN 39713 56 46 , , , 39713 56 47 it -PRON- PRP 39713 56 48 will will MD 39713 56 49 admit admit VB 39713 56 50 of of IN 39713 56 51 an an DT 39713 56 52 infinity infinity NN 39713 56 53 of of IN 39713 56 54 Others other NNS 39713 56 55 which which WDT 39713 56 56 will will MD 39713 56 57 account account VB 39713 56 58 equally equally RB 39713 56 59 well well RB 39713 56 60 for for IN 39713 56 61 all all PDT 39713 56 62 the the DT 39713 56 63 peculiarities peculiarity NNS 39713 56 64 disclosed disclose VBN 39713 56 65 by by IN 39713 56 66 experiment experiment NN 39713 56 67 . . . 39713 56 68 " " '' 39713 57 1 The the DT 39713 57 2 scheme scheme NN 39713 57 3 of of IN 39713 57 4 laws law NNS 39713 57 5 of of IN 39713 57 6 nature nature NN 39713 57 7 so so RB 39713 57 8 largely largely RB 39713 57 9 due due JJ 39713 57 10 to to IN 39713 57 11 Newton Newton NNP 39713 57 12 is be VBZ 39713 57 13 merely merely RB 39713 57 14 one one CD 39713 57 15 of of IN 39713 57 16 an an DT 39713 57 17 infinite infinite JJ 39713 57 18 number number NN 39713 57 19 of of IN 39713 57 20 conceivable conceivable JJ 39713 57 21 rational rational JJ 39713 57 22 schemes scheme NNS 39713 57 23 for for IN 39713 57 24 helping help VBG 39713 57 25 us us NNP 39713 57 26 master master NN 39713 57 27 and and CC 39713 57 28 make make VB 39713 57 29 experience experience NN 39713 57 30 ; ; : 39713 57 31 it -PRON- PRP 39713 57 32 is be VBZ 39713 57 33 _ _ NNP 39713 57 34 commode commode NN 39713 57 35 _ _ NNP 39713 57 36 , , , 39713 57 37 convenient convenient JJ 39713 57 38 ; ; : 39713 57 39 but but CC 39713 57 40 perhaps perhaps RB 39713 57 41 another another DT 39713 57 42 may may MD 39713 57 43 be be VB 39713 57 44 vastly vastly RB 39713 57 45 more more RBR 39713 57 46 advantageous advantageous JJ 39713 57 47 . . . 39713 58 1 The the DT 39713 58 2 old old JJ 39713 58 3 conception conception NN 39713 58 4 of of IN 39713 58 5 _ _ NNP 39713 58 6 true true JJ 39713 58 7 _ _ NNP 39713 58 8 has have VBZ 39713 58 9 been be VBN 39713 58 10 revised revise VBN 39713 58 11 . . . 39713 59 1 The the DT 39713 59 2 first first JJ 39713 59 3 expression expression NN 39713 59 4 of of IN 39713 59 5 the the DT 39713 59 6 new new JJ 39713 59 7 idea idea NN 39713 59 8 occurs occur VBZ 39713 59 9 on on IN 39713 59 10 the the DT 39713 59 11 title title NN 39713 59 12 page page NN 39713 59 13 of of IN 39713 59 14 John John NNP 39713 59 15 Bolyai Bolyai NNP 39713 59 16 's 's POS 39713 59 17 marvelous marvelous JJ 39713 59 18 _ _ NNP 39713 59 19 Science Science NNP 39713 59 20 Absolute Absolute NNP 39713 59 21 of of IN 39713 59 22 Space Space NNP 39713 59 23 _ _ NNP 39713 59 24 , , , 39713 59 25 in in IN 39713 59 26 the the DT 39713 59 27 phrase phrase NN 39713 59 28 " " `` 39713 59 29 haud haud VB 39713 59 30 unquam unquam NNP 39713 59 31 a a DT 39713 59 32 priori priori FW 39713 59 33 decidenda decidenda NN 39713 59 34 . . . 39713 59 35 " " '' 39713 60 1 With with IN 39713 60 2 bearing bear VBG 39713 60 3 on on IN 39713 60 4 the the DT 39713 60 5 history history NN 39713 60 6 of of IN 39713 60 7 the the DT 39713 60 8 earth earth NN 39713 60 9 and and CC 39713 60 10 moon moon NN 39713 60 11 system system NN 39713 60 12 and and CC 39713 60 13 the the DT 39713 60 14 origin origin NN 39713 60 15 of of IN 39713 60 16 double double JJ 39713 60 17 stars star NNS 39713 60 18 , , , 39713 60 19 in in IN 39713 60 20 formulating formulate VBG 39713 60 21 the the DT 39713 60 22 geometric geometric JJ 39713 60 23 criterion criterion NN 39713 60 24 of of IN 39713 60 25 stability stability NN 39713 60 26 , , , 39713 60 27 Poincaré Poincaré NNP 39713 60 28 proved prove VBD 39713 60 29 the the DT 39713 60 30 existence existence NN 39713 60 31 of of IN 39713 60 32 a a DT 39713 60 33 previously previously RB 39713 60 34 unknown unknown JJ 39713 60 35 pear pear NN 39713 60 36 - - HYPH 39713 60 37 shaped shape VBN 39713 60 38 figure figure NN 39713 60 39 , , , 39713 60 40 with with IN 39713 60 41 the the DT 39713 60 42 possibility possibility NN 39713 60 43 that that IN 39713 60 44 the the DT 39713 60 45 progressive progressive JJ 39713 60 46 deformation deformation NN 39713 60 47 of of IN 39713 60 48 this this DT 39713 60 49 figure figure NN 39713 60 50 with with IN 39713 60 51 increasing increase VBG 39713 60 52 angular angular JJ 39713 60 53 velocity velocity NN 39713 60 54 might may MD 39713 60 55 result result VB 39713 60 56 in in IN 39713 60 57 the the DT 39713 60 58 breaking breaking NN 39713 60 59 up up RP 39713 60 60 of of IN 39713 60 61 the the DT 39713 60 62 rotating rotate VBG 39713 60 63 body body NN 39713 60 64 into into IN 39713 60 65 two two CD 39713 60 66 detached detached JJ 39713 60 67 masses masse NNS 39713 60 68 . . . 39713 61 1 Of of IN 39713 61 2 his -PRON- PRP$ 39713 61 3 treatise treatise NN 39713 61 4 _ _ NNP 39713 61 5 Les Les NNP 39713 61 6 Méthodes Méthodes NNP 39713 61 7 nouvelles nouvelle VBZ 39713 61 8 de de NNP 39713 61 9 la la NNP 39713 61 10 Méchanique Méchanique NNP 39713 61 11 céleste céleste NN 39713 61 12 _ _ NNP 39713 61 13 , , , 39713 61 14 Sir Sir NNP 39713 61 15 George George NNP 39713 61 16 Darwin Darwin NNP 39713 61 17 says say VBZ 39713 61 18 : : : 39713 61 19 " " `` 39713 61 20 It -PRON- PRP 39713 61 21 is be VBZ 39713 61 22 probable probable JJ 39713 61 23 that that IN 39713 61 24 for for IN 39713 61 25 half half PDT 39713 61 26 a a DT 39713 61 27 century century NN 39713 61 28 to to TO 39713 61 29 come come VB 39713 61 30 it -PRON- PRP 39713 61 31 will will MD 39713 61 32 be be VB 39713 61 33 the the DT 39713 61 34 mine mine NN 39713 61 35 from from IN 39713 61 36 which which WDT 39713 61 37 humbler humbler NN 39713 61 38 investigators investigator NNS 39713 61 39 will will MD 39713 61 40 excavate excavate VB 39713 61 41 their -PRON- PRP$ 39713 61 42 materials material NNS 39713 61 43 . . . 39713 61 44 " " '' 39713 62 1 Brilliant Brilliant NNP 39713 62 2 was be VBD 39713 62 3 his -PRON- PRP$ 39713 62 4 appreciation appreciation NN 39713 62 5 of of IN 39713 62 6 Poincaré Poincaré NNP 39713 62 7 in in IN 39713 62 8 presenting present VBG 39713 62 9 the the DT 39713 62 10 gold gold NN 39713 62 11 medal medal NN 39713 62 12 of of IN 39713 62 13 the the DT 39713 62 14 Royal Royal NNP 39713 62 15 Astronomical Astronomical NNP 39713 62 16 Society Society NNP 39713 62 17 . . . 39713 63 1 The the DT 39713 63 2 three three CD 39713 63 3 others other NNS 39713 63 4 most most RBS 39713 63 5 akin akin JJ 39713 63 6 in in IN 39713 63 7 genius genius NN 39713 63 8 are be VBP 39713 63 9 linked link VBN 39713 63 10 with with IN 39713 63 11 him -PRON- PRP 39713 63 12 by by IN 39713 63 13 the the DT 39713 63 14 Sylvester Sylvester NNP 39713 63 15 medal medal NN 39713 63 16 of of IN 39713 63 17 the the DT 39713 63 18 Royal Royal NNP 39713 63 19 Society Society NNP 39713 63 20 , , , 39713 63 21 the the DT 39713 63 22 Lobachevski Lobachevski NNP 39713 63 23 medal medal NN 39713 63 24 of of IN 39713 63 25 the the DT 39713 63 26 Physico Physico NNP 39713 63 27 - - HYPH 39713 63 28 Mathematical Mathematical NNP 39713 63 29 Society Society NNP 39713 63 30 of of IN 39713 63 31 Kazan Kazan NNP 39713 63 32 , , , 39713 63 33 and and CC 39713 63 34 the the DT 39713 63 35 Bolyai Bolyai NNP 39713 63 36 prize prize NN 39713 63 37 of of IN 39713 63 38 the the DT 39713 63 39 Hungarian Hungarian NNP 39713 63 40 Academy Academy NNP 39713 63 41 of of IN 39713 63 42 Sciences Sciences NNPS 39713 63 43 . . . 39713 64 1 His -PRON- PRP$ 39713 64 2 work work NN 39713 64 3 must must MD 39713 64 4 be be VB 39713 64 5 reckoned reckon VBN 39713 64 6 with with IN 39713 64 7 the the DT 39713 64 8 greatest great JJS 39713 64 9 mathematical mathematical JJ 39713 64 10 achievements achievement NNS 39713 64 11 of of IN 39713 64 12 mankind mankind NN 39713 64 13 . . . 39713 65 1 The the DT 39713 65 2 kernel kernel NN 39713 65 3 of of IN 39713 65 4 Poincaré Poincaré NNP 39713 65 5 's 's POS 39713 65 6 power power NN 39713 65 7 lies lie VBZ 39713 65 8 in in IN 39713 65 9 an an DT 39713 65 10 oracle oracle NN 39713 65 11 Sylvester Sylvester NNP 39713 65 12 often often RB 39713 65 13 quoted quote VBD 39713 65 14 to to IN 39713 65 15 me -PRON- PRP 39713 65 16 as as IN 39713 65 17 from from IN 39713 65 18 Hesiod Hesiod NNP 39713 65 19 : : : 39713 65 20 The the DT 39713 65 21 whole whole NN 39713 65 22 is be VBZ 39713 65 23 less less JJR 39713 65 24 than than IN 39713 65 25 its -PRON- PRP$ 39713 65 26 part part NN 39713 65 27 . . . 39713 66 1 He -PRON- PRP 39713 66 2 penetrates penetrate VBZ 39713 66 3 at at IN 39713 66 4 once once RB 39713 66 5 the the DT 39713 66 6 divine divine JJ 39713 66 7 simplicity simplicity NN 39713 66 8 of of IN 39713 66 9 the the DT 39713 66 10 perfectly perfectly RB 39713 66 11 general general JJ 39713 66 12 case case NN 39713 66 13 , , , 39713 66 14 and and CC 39713 66 15 thence thence NN 39713 66 16 descends descend VBZ 39713 66 17 , , , 39713 66 18 as as IN 39713 66 19 from from IN 39713 66 20 Olympus Olympus NNP 39713 66 21 , , , 39713 66 22 to to IN 39713 66 23 the the DT 39713 66 24 special special JJ 39713 66 25 concrete concrete NN 39713 66 26 earthly earthly JJ 39713 66 27 particulars particular NNS 39713 66 28 . . . 39713 67 1 A a DT 39713 67 2 combination combination NN 39713 67 3 of of IN 39713 67 4 seemingly seemingly RB 39713 67 5 extremely extremely RB 39713 67 6 simple simple JJ 39713 67 7 analytic analytic JJ 39713 67 8 and and CC 39713 67 9 geometric geometric JJ 39713 67 10 concepts concept NNS 39713 67 11 gave give VBD 39713 67 12 necessary necessary JJ 39713 67 13 general general JJ 39713 67 14 conclusions conclusion NNS 39713 67 15 of of IN 39713 67 16 immense immense JJ 39713 67 17 scope scope NN 39713 67 18 from from IN 39713 67 19 which which WDT 39713 67 20 sprang spring VBD 39713 67 21 a a DT 39713 67 22 disconcerting disconcerting JJ 39713 67 23 wilderness wilderness NN 39713 67 24 of of IN 39713 67 25 possible possible JJ 39713 67 26 deductions deduction NNS 39713 67 27 . . . 39713 68 1 And and CC 39713 68 2 so so RB 39713 68 3 he -PRON- PRP 39713 68 4 leaves leave VBZ 39713 68 5 a a DT 39713 68 6 noble noble JJ 39713 68 7 , , , 39713 68 8 fruitful fruitful JJ 39713 68 9 heritage heritage NN 39713 68 10 . . . 39713 69 1 Says say VBZ 39713 69 2 Love Love NNP 39713 69 3 : : : 39713 69 4 " " `` 39713 69 5 His -PRON- PRP$ 39713 69 6 right right NN 39713 69 7 is be VBZ 39713 69 8 recognized recognize VBN 39713 69 9 now now RB 39713 69 10 , , , 39713 69 11 and and CC 39713 69 12 it -PRON- PRP 39713 69 13 is be VBZ 39713 69 14 not not RB 39713 69 15 likely likely JJ 39713 69 16 that that IN 39713 69 17 future future JJ 39713 69 18 generations generation NNS 39713 69 19 will will MD 39713 69 20 revise revise VB 39713 69 21 the the DT 39713 69 22 judgment judgment NN 39713 69 23 , , , 39713 69 24 to to TO 39713 69 25 rank rank VB 39713 69 26 among among IN 39713 69 27 the the DT 39713 69 28 greatest great JJS 39713 69 29 mathematicians mathematician NNS 39713 69 30 of of IN 39713 69 31 all all DT 39713 69 32 time time NN 39713 69 33 . . . 39713 69 34 " " '' 39713 70 1 GEORGE GEORGE NNP 39713 70 2 BRUCE BRUCE NNP 39713 70 3 HALSTED HALSTED NNP 39713 70 4 . . . 39713 71 1 * * NFP 39713 71 2 * * NFP 39713 71 3 * * NFP 39713 71 4 * * NFP 39713 71 5 * * NFP 39713 71 6 SCIENCE science NN 39713 71 7 AND and CC 39713 71 8 HYPOTHESIS hypothesis NN 39713 71 9 * * NFP 39713 71 10 * * NFP 39713 71 11 * * NFP 39713 71 12 * * NFP 39713 71 13 * * NFP 39713 71 14 AUTHOR AUTHOR NNP 39713 71 15 'S be VBZ 39713 71 16 PREFACE preface NN 39713 71 17 TO to IN 39713 71 18 THE the DT 39713 71 19 TRANSLATION translation NN 39713 71 20 I -PRON- PRP 39713 71 21 am be VBP 39713 71 22 exceedingly exceedingly RB 39713 71 23 grateful grateful JJ 39713 71 24 to to IN 39713 71 25 Dr. Dr. NNP 39713 71 26 Halsted Halsted NNP 39713 71 27 , , , 39713 71 28 who who WP 39713 71 29 has have VBZ 39713 71 30 been be VBN 39713 71 31 so so RB 39713 71 32 good good JJ 39713 71 33 as as IN 39713 71 34 to to TO 39713 71 35 present present VB 39713 71 36 my -PRON- PRP$ 39713 71 37 book book NN 39713 71 38 to to IN 39713 71 39 American american JJ 39713 71 40 readers reader NNS 39713 71 41 in in IN 39713 71 42 a a DT 39713 71 43 translation translation NN 39713 71 44 , , , 39713 71 45 clear clear JJ 39713 71 46 and and CC 39713 71 47 faithful faithful JJ 39713 71 48 . . . 39713 72 1 Every every DT 39713 72 2 one one NN 39713 72 3 knows know VBZ 39713 72 4 that that IN 39713 72 5 this this DT 39713 72 6 savant savant NN 39713 72 7 has have VBZ 39713 72 8 already already RB 39713 72 9 taken take VBN 39713 72 10 the the DT 39713 72 11 trouble trouble NN 39713 72 12 to to TO 39713 72 13 translate translate VB 39713 72 14 many many JJ 39713 72 15 European european JJ 39713 72 16 treatises treatise NNS 39713 72 17 and and CC 39713 72 18 thus thus RB 39713 72 19 has have VBZ 39713 72 20 powerfully powerfully RB 39713 72 21 contributed contribute VBN 39713 72 22 to to TO 39713 72 23 make make VB 39713 72 24 the the DT 39713 72 25 new new JJ 39713 72 26 continent continent NN 39713 72 27 understand understand VB 39713 72 28 the the DT 39713 72 29 thought thought NN 39713 72 30 of of IN 39713 72 31 the the DT 39713 72 32 old old JJ 39713 72 33 . . . 39713 73 1 Some some DT 39713 73 2 people people NNS 39713 73 3 love love VBP 39713 73 4 to to TO 39713 73 5 repeat repeat VB 39713 73 6 that that IN 39713 73 7 Anglo Anglo NNP 39713 73 8 - - HYPH 39713 73 9 Saxons Saxons NNPS 39713 73 10 have have VBP 39713 73 11 not not RB 39713 73 12 the the DT 39713 73 13 same same JJ 39713 73 14 way way NN 39713 73 15 of of IN 39713 73 16 thinking thinking NN 39713 73 17 as as IN 39713 73 18 the the DT 39713 73 19 Latins Latins NNPS 39713 73 20 or or CC 39713 73 21 as as IN 39713 73 22 the the DT 39713 73 23 Germans Germans NNPS 39713 73 24 ; ; : 39713 73 25 that that IN 39713 73 26 they -PRON- PRP 39713 73 27 have have VBP 39713 73 28 quite quite PDT 39713 73 29 another another DT 39713 73 30 way way NN 39713 73 31 of of IN 39713 73 32 understanding understand VBG 39713 73 33 mathematics mathematic NNS 39713 73 34 or or CC 39713 73 35 of of IN 39713 73 36 understanding understand VBG 39713 73 37 physics physics NN 39713 73 38 ; ; : 39713 73 39 that that IN 39713 73 40 this this DT 39713 73 41 way way NN 39713 73 42 seems seem VBZ 39713 73 43 to to IN 39713 73 44 them -PRON- PRP 39713 73 45 superior superior JJ 39713 73 46 to to IN 39713 73 47 all all DT 39713 73 48 others other NNS 39713 73 49 ; ; : 39713 73 50 that that IN 39713 73 51 they -PRON- PRP 39713 73 52 feel feel VBP 39713 73 53 no no DT 39713 73 54 need need NN 39713 73 55 of of IN 39713 73 56 changing change VBG 39713 73 57 it -PRON- PRP 39713 73 58 , , , 39713 73 59 nor nor CC 39713 73 60 even even RB 39713 73 61 of of IN 39713 73 62 knowing know VBG 39713 73 63 the the DT 39713 73 64 ways way NNS 39713 73 65 of of IN 39713 73 66 other other JJ 39713 73 67 peoples people NNS 39713 73 68 . . . 39713 74 1 In in IN 39713 74 2 that that DT 39713 74 3 they -PRON- PRP 39713 74 4 would would MD 39713 74 5 beyond beyond IN 39713 74 6 question question NN 39713 74 7 be be VB 39713 74 8 wrong wrong JJ 39713 74 9 , , , 39713 74 10 but but CC 39713 74 11 I -PRON- PRP 39713 74 12 do do VBP 39713 74 13 not not RB 39713 74 14 believe believe VB 39713 74 15 that that DT 39713 74 16 is be VBZ 39713 74 17 true true JJ 39713 74 18 , , , 39713 74 19 or or CC 39713 74 20 , , , 39713 74 21 at at IN 39713 74 22 least least JJS 39713 74 23 , , , 39713 74 24 that that DT 39713 74 25 is be VBZ 39713 74 26 true true JJ 39713 74 27 no no RB 39713 74 28 longer long RBR 39713 74 29 . . . 39713 75 1 For for IN 39713 75 2 some some DT 39713 75 3 time time NN 39713 75 4 the the DT 39713 75 5 English English NNP 39713 75 6 and and CC 39713 75 7 Americans Americans NNPS 39713 75 8 have have VBP 39713 75 9 been be VBN 39713 75 10 devoting devote VBG 39713 75 11 themselves -PRON- PRP 39713 75 12 much much RB 39713 75 13 more more RBR 39713 75 14 than than IN 39713 75 15 formerly formerly RB 39713 75 16 to to IN 39713 75 17 the the DT 39713 75 18 better well JJR 39713 75 19 understanding understanding NN 39713 75 20 of of IN 39713 75 21 what what WP 39713 75 22 is be VBZ 39713 75 23 thought think VBN 39713 75 24 and and CC 39713 75 25 said say VBD 39713 75 26 on on IN 39713 75 27 the the DT 39713 75 28 continent continent NN 39713 75 29 of of IN 39713 75 30 Europe Europe NNP 39713 75 31 . . . 39713 76 1 To to TO 39713 76 2 be be VB 39713 76 3 sure sure JJ 39713 76 4 , , , 39713 76 5 each each DT 39713 76 6 people people NNS 39713 76 7 will will MD 39713 76 8 preserve preserve VB 39713 76 9 its -PRON- PRP$ 39713 76 10 characteristic characteristic JJ 39713 76 11 genius genius NN 39713 76 12 , , , 39713 76 13 and and CC 39713 76 14 it -PRON- PRP 39713 76 15 would would MD 39713 76 16 be be VB 39713 76 17 a a DT 39713 76 18 pity pity NN 39713 76 19 if if IN 39713 76 20 it -PRON- PRP 39713 76 21 were be VBD 39713 76 22 otherwise otherwise RB 39713 76 23 , , , 39713 76 24 supposing suppose VBG 39713 76 25 such such PDT 39713 76 26 a a DT 39713 76 27 thing thing NN 39713 76 28 possible possible JJ 39713 76 29 . . . 39713 77 1 If if IN 39713 77 2 the the DT 39713 77 3 Anglo Anglo NNP 39713 77 4 - - HYPH 39713 77 5 Saxons Saxons NNPS 39713 77 6 wished wish VBD 39713 77 7 to to TO 39713 77 8 become become VB 39713 77 9 Latins latin NNS 39713 77 10 , , , 39713 77 11 they -PRON- PRP 39713 77 12 would would MD 39713 77 13 never never RB 39713 77 14 be be VB 39713 77 15 more more RBR 39713 77 16 than than IN 39713 77 17 bad bad JJ 39713 77 18 Latins latin NNS 39713 77 19 ; ; : 39713 77 20 just just RB 39713 77 21 as as IN 39713 77 22 the the DT 39713 77 23 French French NNP 39713 77 24 , , , 39713 77 25 in in IN 39713 77 26 seeking seek VBG 39713 77 27 to to TO 39713 77 28 imitate imitate VB 39713 77 29 them -PRON- PRP 39713 77 30 , , , 39713 77 31 could could MD 39713 77 32 turn turn VB 39713 77 33 out out RP 39713 77 34 only only RB 39713 77 35 pretty pretty RB 39713 77 36 poor poor JJ 39713 77 37 Anglo Anglo NNP 39713 77 38 - - HYPH 39713 77 39 Saxons Saxons NNPS 39713 77 40 . . . 39713 78 1 And and CC 39713 78 2 then then RB 39713 78 3 the the DT 39713 78 4 English English NNP 39713 78 5 and and CC 39713 78 6 Americans Americans NNPS 39713 78 7 have have VBP 39713 78 8 made make VBN 39713 78 9 scientific scientific JJ 39713 78 10 conquests conquest NNS 39713 78 11 they -PRON- PRP 39713 78 12 alone alone RB 39713 78 13 could could MD 39713 78 14 have have VB 39713 78 15 made make VBN 39713 78 16 ; ; : 39713 78 17 they -PRON- PRP 39713 78 18 will will MD 39713 78 19 make make VB 39713 78 20 still still RB 39713 78 21 more more JJR 39713 78 22 of of IN 39713 78 23 which which WDT 39713 78 24 others other NNS 39713 78 25 would would MD 39713 78 26 be be VB 39713 78 27 incapable incapable JJ 39713 78 28 . . . 39713 79 1 It -PRON- PRP 39713 79 2 would would MD 39713 79 3 therefore therefore RB 39713 79 4 be be VB 39713 79 5 deplorable deplorable JJ 39713 79 6 if if IN 39713 79 7 there there EX 39713 79 8 were be VBD 39713 79 9 no no RB 39713 79 10 longer long JJR 39713 79 11 Anglo Anglo NNP 39713 79 12 - - HYPH 39713 79 13 Saxons Saxons NNPS 39713 79 14 . . . 39713 80 1 But but CC 39713 80 2 continentals continental NNS 39713 80 3 have have VBP 39713 80 4 on on IN 39713 80 5 their -PRON- PRP$ 39713 80 6 part part NN 39713 80 7 done do VBN 39713 80 8 things thing NNS 39713 80 9 an an DT 39713 80 10 Englishman Englishman NNP 39713 80 11 could could MD 39713 80 12 not not RB 39713 80 13 have have VB 39713 80 14 done do VBN 39713 80 15 , , , 39713 80 16 so so IN 39713 80 17 that that IN 39713 80 18 there there EX 39713 80 19 is be VBZ 39713 80 20 no no DT 39713 80 21 need need NN 39713 80 22 either either CC 39713 80 23 for for IN 39713 80 24 wishing wish VBG 39713 80 25 all all PDT 39713 80 26 the the DT 39713 80 27 world world NN 39713 80 28 Anglo Anglo NNP 39713 80 29 - - HYPH 39713 80 30 Saxon Saxon NNP 39713 80 31 . . . 39713 81 1 Each each DT 39713 81 2 has have VBZ 39713 81 3 his -PRON- PRP$ 39713 81 4 characteristic characteristic JJ 39713 81 5 aptitudes aptitude NNS 39713 81 6 , , , 39713 81 7 and and CC 39713 81 8 these these DT 39713 81 9 aptitudes aptitude NNS 39713 81 10 should should MD 39713 81 11 be be VB 39713 81 12 diverse diverse JJ 39713 81 13 , , , 39713 81 14 else else RB 39713 81 15 would would MD 39713 81 16 the the DT 39713 81 17 scientific scientific JJ 39713 81 18 concert concert NN 39713 81 19 resemble resemble VB 39713 81 20 a a DT 39713 81 21 quartet quartet NN 39713 81 22 where where WRB 39713 81 23 every every DT 39713 81 24 one one NN 39713 81 25 wanted want VBD 39713 81 26 to to TO 39713 81 27 play play VB 39713 81 28 the the DT 39713 81 29 violin violin NN 39713 81 30 . . . 39713 82 1 And and CC 39713 82 2 yet yet RB 39713 82 3 it -PRON- PRP 39713 82 4 is be VBZ 39713 82 5 not not RB 39713 82 6 bad bad JJ 39713 82 7 for for IN 39713 82 8 the the DT 39713 82 9 violin violin NN 39713 82 10 to to TO 39713 82 11 know know VB 39713 82 12 what what WP 39713 82 13 the the DT 39713 82 14 violon violon NN 39713 82 15 - - HYPH 39713 82 16 cello cello NN 39713 82 17 is be VBZ 39713 82 18 playing play VBG 39713 82 19 , , , 39713 82 20 and and CC 39713 82 21 _ _ NNP 39713 82 22 vice vice NN 39713 82 23 versa versa NNP 39713 82 24 _ _ NNP 39713 82 25 . . . 39713 83 1 This this DT 39713 83 2 it -PRON- PRP 39713 83 3 is be VBZ 39713 83 4 that that IN 39713 83 5 the the DT 39713 83 6 English English NNP 39713 83 7 and and CC 39713 83 8 Americans Americans NNPS 39713 83 9 are be VBP 39713 83 10 comprehending comprehend VBG 39713 83 11 more more JJR 39713 83 12 and and CC 39713 83 13 more more RBR 39713 83 14 ; ; : 39713 83 15 and and CC 39713 83 16 from from IN 39713 83 17 this this DT 39713 83 18 point point NN 39713 83 19 of of IN 39713 83 20 view view NN 39713 83 21 the the DT 39713 83 22 translations translation NNS 39713 83 23 undertaken undertake VBN 39713 83 24 by by IN 39713 83 25 Dr. Dr. NNP 39713 83 26 Halsted Halsted NNP 39713 83 27 are be VBP 39713 83 28 most most JJS 39713 83 29 opportune opportune JJ 39713 83 30 and and CC 39713 83 31 timely timely JJ 39713 83 32 . . . 39713 84 1 Consider consider VB 39713 84 2 first first JJ 39713 84 3 what what WP 39713 84 4 concerns concern VBZ 39713 84 5 the the DT 39713 84 6 mathematical mathematical JJ 39713 84 7 sciences science NNS 39713 84 8 . . . 39713 85 1 It -PRON- PRP 39713 85 2 is be VBZ 39713 85 3 frequently frequently RB 39713 85 4 said say VBN 39713 85 5 the the DT 39713 85 6 English English NNP 39713 85 7 cultivate cultivate VBP 39713 85 8 them -PRON- PRP 39713 85 9 only only RB 39713 85 10 in in IN 39713 85 11 view view NN 39713 85 12 of of IN 39713 85 13 their -PRON- PRP$ 39713 85 14 applications application NNS 39713 85 15 and and CC 39713 85 16 even even RB 39713 85 17 that that IN 39713 85 18 they -PRON- PRP 39713 85 19 despise despise VBP 39713 85 20 those those DT 39713 85 21 who who WP 39713 85 22 have have VBP 39713 85 23 other other JJ 39713 85 24 aims aim NNS 39713 85 25 ; ; : 39713 85 26 that that DT 39713 85 27 speculations speculation NNS 39713 85 28 too too RB 39713 85 29 abstract abstract JJ 39713 85 30 repel repel VBP 39713 85 31 them -PRON- PRP 39713 85 32 as as IN 39713 85 33 savoring savoring NN 39713 85 34 of of IN 39713 85 35 metaphysic metaphysic NN 39713 85 36 . . . 39713 86 1 The the DT 39713 86 2 English English NNP 39713 86 3 , , , 39713 86 4 even even RB 39713 86 5 in in IN 39713 86 6 mathematics mathematic NNS 39713 86 7 , , , 39713 86 8 are be VBP 39713 86 9 to to TO 39713 86 10 proceed proceed VB 39713 86 11 always always RB 39713 86 12 from from IN 39713 86 13 the the DT 39713 86 14 particular particular JJ 39713 86 15 to to IN 39713 86 16 the the DT 39713 86 17 general general NN 39713 86 18 , , , 39713 86 19 so so IN 39713 86 20 that that IN 39713 86 21 they -PRON- PRP 39713 86 22 would would MD 39713 86 23 never never RB 39713 86 24 have have VB 39713 86 25 an an DT 39713 86 26 idea idea NN 39713 86 27 of of IN 39713 86 28 entering enter VBG 39713 86 29 mathematics mathematic NNS 39713 86 30 , , , 39713 86 31 as as IN 39713 86 32 do do VBP 39713 86 33 many many JJ 39713 86 34 Germans Germans NNPS 39713 86 35 , , , 39713 86 36 by by IN 39713 86 37 the the DT 39713 86 38 gate gate NN 39713 86 39 of of IN 39713 86 40 the the DT 39713 86 41 theory theory NN 39713 86 42 of of IN 39713 86 43 aggregates aggregate NNS 39713 86 44 . . . 39713 87 1 They -PRON- PRP 39713 87 2 are be VBP 39713 87 3 always always RB 39713 87 4 to to TO 39713 87 5 hold hold VB 39713 87 6 , , , 39713 87 7 so so RB 39713 87 8 to to TO 39713 87 9 speak speak VB 39713 87 10 , , , 39713 87 11 one one CD 39713 87 12 foot foot NN 39713 87 13 in in IN 39713 87 14 the the DT 39713 87 15 world world NN 39713 87 16 of of IN 39713 87 17 the the DT 39713 87 18 senses sense NNS 39713 87 19 , , , 39713 87 20 and and CC 39713 87 21 never never RB 39713 87 22 burn burn VB 39713 87 23 the the DT 39713 87 24 bridges bridge NNS 39713 87 25 keeping keep VBG 39713 87 26 them -PRON- PRP 39713 87 27 in in IN 39713 87 28 communication communication NN 39713 87 29 with with IN 39713 87 30 reality reality NN 39713 87 31 . . . 39713 88 1 They -PRON- PRP 39713 88 2 thus thus RB 39713 88 3 are be VBP 39713 88 4 to to TO 39713 88 5 be be VB 39713 88 6 incapable incapable JJ 39713 88 7 of of IN 39713 88 8 comprehending comprehend VBG 39713 88 9 or or CC 39713 88 10 at at IN 39713 88 11 least least JJS 39713 88 12 of of IN 39713 88 13 appreciating appreciate VBG 39713 88 14 certain certain JJ 39713 88 15 theories theory NNS 39713 88 16 more more RBR 39713 88 17 interesting interesting JJ 39713 88 18 than than IN 39713 88 19 utilitarian utilitarian JJ 39713 88 20 , , , 39713 88 21 such such JJ 39713 88 22 as as IN 39713 88 23 the the DT 39713 88 24 non non JJ 39713 88 25 - - JJ 39713 88 26 Euclidean euclidean JJ 39713 88 27 geometries geometry NNS 39713 88 28 . . . 39713 89 1 According accord VBG 39713 89 2 to to IN 39713 89 3 that that DT 39713 89 4 , , , 39713 89 5 the the DT 39713 89 6 first first JJ 39713 89 7 two two CD 39713 89 8 parts part NNS 39713 89 9 of of IN 39713 89 10 this this DT 39713 89 11 book book NN 39713 89 12 , , , 39713 89 13 on on IN 39713 89 14 number number NN 39713 89 15 and and CC 39713 89 16 space space NN 39713 89 17 , , , 39713 89 18 should should MD 39713 89 19 seem seem VB 39713 89 20 to to IN 39713 89 21 them -PRON- PRP 39713 89 22 void void RB 39713 89 23 of of IN 39713 89 24 all all DT 39713 89 25 substance substance NN 39713 89 26 and and CC 39713 89 27 would would MD 39713 89 28 only only RB 39713 89 29 baffle baffle VB 39713 89 30 them -PRON- PRP 39713 89 31 . . . 39713 90 1 But but CC 39713 90 2 that that DT 39713 90 3 is be VBZ 39713 90 4 not not RB 39713 90 5 true true JJ 39713 90 6 . . . 39713 91 1 And and CC 39713 91 2 first first RB 39713 91 3 of of IN 39713 91 4 all all DT 39713 91 5 , , , 39713 91 6 are be VBP 39713 91 7 they -PRON- PRP 39713 91 8 such such JJ 39713 91 9 uncompromising uncompromise VBG 39713 91 10 realists realist NNS 39713 91 11 as as IN 39713 91 12 has have VBZ 39713 91 13 been be VBN 39713 91 14 said say VBN 39713 91 15 ? ? . 39713 92 1 Are be VBP 39713 92 2 they -PRON- PRP 39713 92 3 absolutely absolutely RB 39713 92 4 refractory refractory JJ 39713 92 5 , , , 39713 92 6 I -PRON- PRP 39713 92 7 do do VBP 39713 92 8 not not RB 39713 92 9 say say VB 39713 92 10 to to IN 39713 92 11 metaphysic metaphysic JJ 39713 92 12 , , , 39713 92 13 but but CC 39713 92 14 at at IN 39713 92 15 least least JJS 39713 92 16 to to IN 39713 92 17 everything everything NN 39713 92 18 metaphysical metaphysical JJ 39713 92 19 ? ? . 39713 93 1 Recall recall VB 39713 93 2 the the DT 39713 93 3 name name NN 39713 93 4 of of IN 39713 93 5 Berkeley Berkeley NNP 39713 93 6 , , , 39713 93 7 born bear VBN 39713 93 8 in in IN 39713 93 9 Ireland Ireland NNP 39713 93 10 doubtless doubtless RB 39713 93 11 , , , 39713 93 12 but but CC 39713 93 13 immediately immediately RB 39713 93 14 adopted adopt VBN 39713 93 15 by by IN 39713 93 16 the the DT 39713 93 17 English English NNP 39713 93 18 , , , 39713 93 19 who who WP 39713 93 20 marked mark VBD 39713 93 21 a a DT 39713 93 22 natural natural JJ 39713 93 23 and and CC 39713 93 24 necessary necessary JJ 39713 93 25 stage stage NN 39713 93 26 in in IN 39713 93 27 the the DT 39713 93 28 development development NN 39713 93 29 of of IN 39713 93 30 English english JJ 39713 93 31 philosophy philosophy NN 39713 93 32 . . . 39713 94 1 Is be VBZ 39713 94 2 this this DT 39713 94 3 not not RB 39713 94 4 enough enough JJ 39713 94 5 to to TO 39713 94 6 show show VB 39713 94 7 they -PRON- PRP 39713 94 8 are be VBP 39713 94 9 capable capable JJ 39713 94 10 of of IN 39713 94 11 making make VBG 39713 94 12 ascensions ascension NNS 39713 94 13 otherwise otherwise RB 39713 94 14 than than IN 39713 94 15 in in IN 39713 94 16 a a DT 39713 94 17 captive captive JJ 39713 94 18 balloon balloon NN 39713 94 19 ? ? . 39713 95 1 And and CC 39713 95 2 to to TO 39713 95 3 return return VB 39713 95 4 to to IN 39713 95 5 America America NNP 39713 95 6 , , , 39713 95 7 is be VBZ 39713 95 8 not not RB 39713 95 9 the the DT 39713 95 10 _ _ NNP 39713 95 11 Monist Monist NNP 39713 95 12 _ _ NNP 39713 95 13 published publish VBN 39713 95 14 at at IN 39713 95 15 Chicago Chicago NNP 39713 95 16 , , , 39713 95 17 that that DT 39713 95 18 review review NN 39713 95 19 which which WDT 39713 95 20 even even RB 39713 95 21 to to IN 39713 95 22 us -PRON- PRP 39713 95 23 seems seem VBZ 39713 95 24 bold bold JJ 39713 95 25 and and CC 39713 95 26 yet yet RB 39713 95 27 which which WDT 39713 95 28 finds find VBZ 39713 95 29 readers reader NNS 39713 95 30 ? ? . 39713 96 1 And and CC 39713 96 2 in in IN 39713 96 3 mathematics mathematic NNS 39713 96 4 ? ? . 39713 97 1 Do do VBP 39713 97 2 you -PRON- PRP 39713 97 3 think think VB 39713 97 4 American american JJ 39713 97 5 geometers geometer NNS 39713 97 6 are be VBP 39713 97 7 concerned concern VBN 39713 97 8 only only RB 39713 97 9 about about IN 39713 97 10 applications application NNS 39713 97 11 ? ? . 39713 98 1 Far far RB 39713 98 2 from from IN 39713 98 3 it -PRON- PRP 39713 98 4 . . . 39713 99 1 The the DT 39713 99 2 part part NN 39713 99 3 of of IN 39713 99 4 the the DT 39713 99 5 science science NN 39713 99 6 they -PRON- PRP 39713 99 7 cultivate cultivate VBP 39713 99 8 most most RBS 39713 99 9 devotedly devotedly RB 39713 99 10 is be VBZ 39713 99 11 the the DT 39713 99 12 theory theory NN 39713 99 13 of of IN 39713 99 14 groups group NNS 39713 99 15 of of IN 39713 99 16 substitutions substitution NNS 39713 99 17 , , , 39713 99 18 and and CC 39713 99 19 under under IN 39713 99 20 its -PRON- PRP$ 39713 99 21 most most RBS 39713 99 22 abstract abstract JJ 39713 99 23 form form NN 39713 99 24 , , , 39713 99 25 the the DT 39713 99 26 farthest farthest RBS 39713 99 27 removed remove VBN 39713 99 28 from from IN 39713 99 29 the the DT 39713 99 30 practical practical JJ 39713 99 31 . . . 39713 100 1 Moreover moreover RB 39713 100 2 , , , 39713 100 3 Dr. Dr. NNP 39713 100 4 Halsted Halsted NNP 39713 100 5 gives give VBZ 39713 100 6 regularly regularly RB 39713 100 7 each each DT 39713 100 8 year year NN 39713 100 9 a a DT 39713 100 10 review review NN 39713 100 11 of of IN 39713 100 12 all all DT 39713 100 13 productions production NNS 39713 100 14 relative relative JJ 39713 100 15 to to IN 39713 100 16 the the DT 39713 100 17 non non JJ 39713 100 18 - - JJ 39713 100 19 Euclidean euclidean JJ 39713 100 20 geometry geometry NN 39713 100 21 , , , 39713 100 22 and and CC 39713 100 23 he -PRON- PRP 39713 100 24 has have VBZ 39713 100 25 about about IN 39713 100 26 him -PRON- PRP 39713 100 27 a a DT 39713 100 28 public public NN 39713 100 29 deeply deeply RB 39713 100 30 interested interested JJ 39713 100 31 in in IN 39713 100 32 his -PRON- PRP$ 39713 100 33 work work NN 39713 100 34 . . . 39713 101 1 He -PRON- PRP 39713 101 2 has have VBZ 39713 101 3 initiated initiate VBN 39713 101 4 this this DT 39713 101 5 public public NN 39713 101 6 into into IN 39713 101 7 the the DT 39713 101 8 ideas idea NNS 39713 101 9 of of IN 39713 101 10 Hilbert Hilbert NNP 39713 101 11 , , , 39713 101 12 and and CC 39713 101 13 he -PRON- PRP 39713 101 14 has have VBZ 39713 101 15 even even RB 39713 101 16 written write VBN 39713 101 17 an an DT 39713 101 18 elementary elementary JJ 39713 101 19 treatise treatise NN 39713 101 20 on on IN 39713 101 21 ' ' '' 39713 101 22 Rational Rational NNP 39713 101 23 Geometry Geometry NNP 39713 101 24 , , , 39713 101 25 ' ' '' 39713 101 26 based base VBN 39713 101 27 on on IN 39713 101 28 the the DT 39713 101 29 principles principle NNS 39713 101 30 of of IN 39713 101 31 the the DT 39713 101 32 renowned renowned JJ 39713 101 33 German german JJ 39713 101 34 savant savant JJ 39713 101 35 . . . 39713 102 1 To to TO 39713 102 2 introduce introduce VB 39713 102 3 this this DT 39713 102 4 principle principle NN 39713 102 5 into into IN 39713 102 6 teaching teaching NN 39713 102 7 is be VBZ 39713 102 8 surely surely RB 39713 102 9 this this DT 39713 102 10 time time NN 39713 102 11 to to TO 39713 102 12 burn burn VB 39713 102 13 all all DT 39713 102 14 bridges bridge NNS 39713 102 15 of of IN 39713 102 16 reliance reliance NN 39713 102 17 upon upon IN 39713 102 18 sensory sensory JJ 39713 102 19 intuition intuition NN 39713 102 20 , , , 39713 102 21 and and CC 39713 102 22 this this DT 39713 102 23 is be VBZ 39713 102 24 , , , 39713 102 25 I -PRON- PRP 39713 102 26 confess confess VBP 39713 102 27 , , , 39713 102 28 a a DT 39713 102 29 boldness boldness NN 39713 102 30 which which WDT 39713 102 31 seems seem VBZ 39713 102 32 to to IN 39713 102 33 me -PRON- PRP 39713 102 34 almost almost RB 39713 102 35 rashness rashness NN 39713 102 36 . . . 39713 103 1 The the DT 39713 103 2 American american JJ 39713 103 3 public public NN 39713 103 4 is be VBZ 39713 103 5 therefore therefore RB 39713 103 6 much much RB 39713 103 7 better well RBR 39713 103 8 prepared prepare VBN 39713 103 9 than than IN 39713 103 10 has have VBZ 39713 103 11 been be VBN 39713 103 12 thought think VBN 39713 103 13 for for IN 39713 103 14 investigating investigate VBG 39713 103 15 the the DT 39713 103 16 origin origin NN 39713 103 17 of of IN 39713 103 18 the the DT 39713 103 19 notion notion NN 39713 103 20 of of IN 39713 103 21 space space NN 39713 103 22 . . . 39713 104 1 Moreover moreover RB 39713 104 2 , , , 39713 104 3 to to TO 39713 104 4 analyze analyze VB 39713 104 5 this this DT 39713 104 6 concept concept NN 39713 104 7 is be VBZ 39713 104 8 not not RB 39713 104 9 to to TO 39713 104 10 sacrifice sacrifice VB 39713 104 11 reality reality NN 39713 104 12 to to IN 39713 104 13 I -PRON- PRP 39713 104 14 know know VBP 39713 104 15 not not RB 39713 104 16 what what WP 39713 104 17 phantom phantom NN 39713 104 18 . . . 39713 105 1 The the DT 39713 105 2 geometric geometric JJ 39713 105 3 language language NN 39713 105 4 is be VBZ 39713 105 5 after after RB 39713 105 6 all all RB 39713 105 7 only only RB 39713 105 8 a a DT 39713 105 9 language language NN 39713 105 10 . . . 39713 106 1 Space space NN 39713 106 2 is be VBZ 39713 106 3 only only RB 39713 106 4 a a DT 39713 106 5 word word NN 39713 106 6 that that IN 39713 106 7 we -PRON- PRP 39713 106 8 have have VBP 39713 106 9 believed believe VBN 39713 106 10 a a DT 39713 106 11 thing thing NN 39713 106 12 . . . 39713 107 1 What what WP 39713 107 2 is be VBZ 39713 107 3 the the DT 39713 107 4 origin origin NN 39713 107 5 of of IN 39713 107 6 this this DT 39713 107 7 word word NN 39713 107 8 and and CC 39713 107 9 of of IN 39713 107 10 other other JJ 39713 107 11 words word NNS 39713 107 12 also also RB 39713 107 13 ? ? . 39713 108 1 What what WDT 39713 108 2 things thing NNS 39713 108 3 do do VBP 39713 108 4 they -PRON- PRP 39713 108 5 hide hide VB 39713 108 6 ? ? . 39713 109 1 To to TO 39713 109 2 ask ask VB 39713 109 3 this this DT 39713 109 4 is be VBZ 39713 109 5 permissible permissible JJ 39713 109 6 ; ; : 39713 109 7 to to TO 39713 109 8 forbid forbid VB 39713 109 9 it -PRON- PRP 39713 109 10 would would MD 39713 109 11 be be VB 39713 109 12 , , , 39713 109 13 on on IN 39713 109 14 the the DT 39713 109 15 contrary contrary NN 39713 109 16 , , , 39713 109 17 to to TO 39713 109 18 be be VB 39713 109 19 a a DT 39713 109 20 dupe dupe NN 39713 109 21 of of IN 39713 109 22 words word NNS 39713 109 23 ; ; : 39713 109 24 it -PRON- PRP 39713 109 25 would would MD 39713 109 26 be be VB 39713 109 27 to to TO 39713 109 28 adore adore VB 39713 109 29 a a DT 39713 109 30 metaphysical metaphysical JJ 39713 109 31 idol idol NN 39713 109 32 , , , 39713 109 33 like like IN 39713 109 34 savage savage NN 39713 109 35 peoples people NNS 39713 109 36 who who WP 39713 109 37 prostrate prostrate VBP 39713 109 38 themselves -PRON- PRP 39713 109 39 before before IN 39713 109 40 a a DT 39713 109 41 statue statue NN 39713 109 42 of of IN 39713 109 43 wood wood NN 39713 109 44 without without IN 39713 109 45 daring dare VBG 39713 109 46 to to TO 39713 109 47 take take VB 39713 109 48 a a DT 39713 109 49 look look NN 39713 109 50 at at IN 39713 109 51 what what WP 39713 109 52 is be VBZ 39713 109 53 within within IN 39713 109 54 . . . 39713 110 1 In in IN 39713 110 2 the the DT 39713 110 3 study study NN 39713 110 4 of of IN 39713 110 5 nature nature NN 39713 110 6 , , , 39713 110 7 the the DT 39713 110 8 contrast contrast NN 39713 110 9 between between IN 39713 110 10 the the DT 39713 110 11 Anglo Anglo NNP 39713 110 12 - - HYPH 39713 110 13 Saxon Saxon NNP 39713 110 14 spirit spirit NN 39713 110 15 and and CC 39713 110 16 the the DT 39713 110 17 Latin latin JJ 39713 110 18 spirit spirit NN 39713 110 19 is be VBZ 39713 110 20 still still RB 39713 110 21 greater great JJR 39713 110 22 . . . 39713 111 1 The the DT 39713 111 2 Latins Latins NNPS 39713 111 3 seek seek VBP 39713 111 4 in in IN 39713 111 5 general general JJ 39713 111 6 to to TO 39713 111 7 put put VB 39713 111 8 their -PRON- PRP$ 39713 111 9 thought thought NN 39713 111 10 in in IN 39713 111 11 mathematical mathematical JJ 39713 111 12 form form NN 39713 111 13 ; ; : 39713 111 14 the the DT 39713 111 15 English English NNP 39713 111 16 prefer prefer VBP 39713 111 17 to to TO 39713 111 18 express express VB 39713 111 19 it -PRON- PRP 39713 111 20 by by IN 39713 111 21 a a DT 39713 111 22 material material JJ 39713 111 23 representation representation NN 39713 111 24 . . . 39713 112 1 Both both DT 39713 112 2 doubtless doubtless RB 39713 112 3 rely rely VBP 39713 112 4 only only RB 39713 112 5 on on IN 39713 112 6 experience experience NN 39713 112 7 for for IN 39713 112 8 knowing know VBG 39713 112 9 the the DT 39713 112 10 world world NN 39713 112 11 ; ; : 39713 112 12 when when WRB 39713 112 13 they -PRON- PRP 39713 112 14 happen happen VBP 39713 112 15 to to TO 39713 112 16 go go VB 39713 112 17 beyond beyond IN 39713 112 18 this this DT 39713 112 19 , , , 39713 112 20 they -PRON- PRP 39713 112 21 consider consider VBP 39713 112 22 their -PRON- PRP$ 39713 112 23 foreknowledge foreknowledge NN 39713 112 24 as as IN 39713 112 25 only only RB 39713 112 26 provisional provisional JJ 39713 112 27 , , , 39713 112 28 and and CC 39713 112 29 they -PRON- PRP 39713 112 30 hasten hasten VBP 39713 112 31 to to TO 39713 112 32 ask ask VB 39713 112 33 its -PRON- PRP$ 39713 112 34 definitive definitive JJ 39713 112 35 confirmation confirmation NN 39713 112 36 from from IN 39713 112 37 nature nature NN 39713 112 38 herself -PRON- PRP 39713 112 39 . . . 39713 113 1 But but CC 39713 113 2 experience experience NN 39713 113 3 is be VBZ 39713 113 4 not not RB 39713 113 5 all all DT 39713 113 6 , , , 39713 113 7 and and CC 39713 113 8 the the DT 39713 113 9 savant savant JJ 39713 113 10 is be VBZ 39713 113 11 not not RB 39713 113 12 passive passive JJ 39713 113 13 ; ; : 39713 113 14 he -PRON- PRP 39713 113 15 does do VBZ 39713 113 16 not not RB 39713 113 17 wait wait VB 39713 113 18 for for IN 39713 113 19 the the DT 39713 113 20 truth truth NN 39713 113 21 to to TO 39713 113 22 come come VB 39713 113 23 and and CC 39713 113 24 find find VB 39713 113 25 him -PRON- PRP 39713 113 26 , , , 39713 113 27 or or CC 39713 113 28 for for IN 39713 113 29 a a DT 39713 113 30 chance chance NN 39713 113 31 meeting meeting NN 39713 113 32 to to TO 39713 113 33 bring bring VB 39713 113 34 him -PRON- PRP 39713 113 35 face face NN 39713 113 36 to to IN 39713 113 37 face face NN 39713 113 38 with with IN 39713 113 39 it -PRON- PRP 39713 113 40 . . . 39713 114 1 He -PRON- PRP 39713 114 2 must must MD 39713 114 3 go go VB 39713 114 4 to to TO 39713 114 5 meet meet VB 39713 114 6 it -PRON- PRP 39713 114 7 , , , 39713 114 8 and and CC 39713 114 9 it -PRON- PRP 39713 114 10 is be VBZ 39713 114 11 for for IN 39713 114 12 his -PRON- PRP$ 39713 114 13 thinking thinking NN 39713 114 14 to to TO 39713 114 15 reveal reveal VB 39713 114 16 to to IN 39713 114 17 him -PRON- PRP 39713 114 18 the the DT 39713 114 19 way way NN 39713 114 20 leading lead VBG 39713 114 21 thither thither NN 39713 114 22 . . . 39713 115 1 For for IN 39713 115 2 that that DT 39713 115 3 there there EX 39713 115 4 is be VBZ 39713 115 5 need need NN 39713 115 6 of of IN 39713 115 7 an an DT 39713 115 8 instrument instrument NN 39713 115 9 ; ; : 39713 115 10 well well UH 39713 115 11 , , , 39713 115 12 just just RB 39713 115 13 there there EX 39713 115 14 begins begin VBZ 39713 115 15 the the DT 39713 115 16 difference difference NN 39713 115 17 -- -- : 39713 115 18 the the DT 39713 115 19 instrument instrument NN 39713 115 20 the the DT 39713 115 21 Latins Latins NNP 39713 115 22 ordinarily ordinarily RB 39713 115 23 choose choose VBP 39713 115 24 is be VBZ 39713 115 25 not not RB 39713 115 26 that that RB 39713 115 27 preferred prefer VBN 39713 115 28 by by IN 39713 115 29 the the DT 39713 115 30 Anglo Anglo NNP 39713 115 31 - - HYPH 39713 115 32 Saxons Saxons NNPS 39713 115 33 . . . 39713 116 1 For for IN 39713 116 2 a a DT 39713 116 3 Latin Latin NNP 39713 116 4 , , , 39713 116 5 truth truth NN 39713 116 6 can can MD 39713 116 7 be be VB 39713 116 8 expressed express VBN 39713 116 9 only only RB 39713 116 10 by by IN 39713 116 11 equations equation NNS 39713 116 12 ; ; : 39713 116 13 it -PRON- PRP 39713 116 14 must must MD 39713 116 15 obey obey VB 39713 116 16 laws law NNS 39713 116 17 simple simple JJ 39713 116 18 , , , 39713 116 19 logical logical JJ 39713 116 20 , , , 39713 116 21 symmetric symmetric JJ 39713 116 22 and and CC 39713 116 23 fitted fit VBD 39713 116 24 to to TO 39713 116 25 satisfy satisfy VB 39713 116 26 minds mind NNS 39713 116 27 in in IN 39713 116 28 love love NN 39713 116 29 with with IN 39713 116 30 mathematical mathematical JJ 39713 116 31 elegance elegance NN 39713 116 32 . . . 39713 117 1 The the DT 39713 117 2 Anglo Anglo NNP 39713 117 3 - - HYPH 39713 117 4 Saxon Saxon NNP 39713 117 5 to to TO 39713 117 6 depict depict VB 39713 117 7 a a DT 39713 117 8 phenomenon phenomenon NN 39713 117 9 will will MD 39713 117 10 first first RB 39713 117 11 be be VB 39713 117 12 engrossed engross VBN 39713 117 13 in in IN 39713 117 14 making make VBG 39713 117 15 a a DT 39713 117 16 _ _ NNP 39713 117 17 model model NN 39713 117 18 _ _ NNP 39713 117 19 , , , 39713 117 20 and and CC 39713 117 21 he -PRON- PRP 39713 117 22 will will MD 39713 117 23 make make VB 39713 117 24 it -PRON- PRP 39713 117 25 with with IN 39713 117 26 common common JJ 39713 117 27 materials material NNS 39713 117 28 , , , 39713 117 29 such such JJ 39713 117 30 as as IN 39713 117 31 our -PRON- PRP$ 39713 117 32 crude crude NN 39713 117 33 , , , 39713 117 34 unaided unaided JJ 39713 117 35 senses sense NNS 39713 117 36 show show VBP 39713 117 37 us -PRON- PRP 39713 117 38 them -PRON- PRP 39713 117 39 . . . 39713 118 1 He -PRON- PRP 39713 118 2 also also RB 39713 118 3 makes make VBZ 39713 118 4 a a DT 39713 118 5 hypothesis hypothesis NN 39713 118 6 , , , 39713 118 7 he -PRON- PRP 39713 118 8 assumes assume VBZ 39713 118 9 implicitly implicitly RB 39713 118 10 that that IN 39713 118 11 nature nature NN 39713 118 12 , , , 39713 118 13 in in IN 39713 118 14 her -PRON- PRP$ 39713 118 15 finest fine JJS 39713 118 16 elements element NNS 39713 118 17 , , , 39713 118 18 is be VBZ 39713 118 19 the the DT 39713 118 20 same same JJ 39713 118 21 as as IN 39713 118 22 in in IN 39713 118 23 the the DT 39713 118 24 complicated complicated JJ 39713 118 25 aggregates aggregate NNS 39713 118 26 which which WDT 39713 118 27 alone alone RB 39713 118 28 are be VBP 39713 118 29 within within IN 39713 118 30 the the DT 39713 118 31 reach reach NN 39713 118 32 of of IN 39713 118 33 our -PRON- PRP$ 39713 118 34 senses sense NNS 39713 118 35 . . . 39713 119 1 He -PRON- PRP 39713 119 2 concludes conclude VBZ 39713 119 3 from from IN 39713 119 4 the the DT 39713 119 5 body body NN 39713 119 6 to to IN 39713 119 7 the the DT 39713 119 8 atom atom NN 39713 119 9 . . . 39713 120 1 Both both DT 39713 120 2 therefore therefore RB 39713 120 3 make make VBP 39713 120 4 hypotheses hypothesis NNS 39713 120 5 , , , 39713 120 6 and and CC 39713 120 7 this this DT 39713 120 8 indeed indeed RB 39713 120 9 is be VBZ 39713 120 10 necessary necessary JJ 39713 120 11 , , , 39713 120 12 since since IN 39713 120 13 no no DT 39713 120 14 scientist scientist NN 39713 120 15 has have VBZ 39713 120 16 ever ever RB 39713 120 17 been be VBN 39713 120 18 able able JJ 39713 120 19 to to TO 39713 120 20 get get VB 39713 120 21 on on RP 39713 120 22 without without IN 39713 120 23 them -PRON- PRP 39713 120 24 . . . 39713 121 1 The the DT 39713 121 2 essential essential JJ 39713 121 3 thing thing NN 39713 121 4 is be VBZ 39713 121 5 never never RB 39713 121 6 to to TO 39713 121 7 make make VB 39713 121 8 them -PRON- PRP 39713 121 9 unconsciously unconsciously RB 39713 121 10 . . . 39713 122 1 From from IN 39713 122 2 this this DT 39713 122 3 point point NN 39713 122 4 of of IN 39713 122 5 view view NN 39713 122 6 again again RB 39713 122 7 , , , 39713 122 8 it -PRON- PRP 39713 122 9 would would MD 39713 122 10 be be VB 39713 122 11 well well JJ 39713 122 12 for for IN 39713 122 13 these these DT 39713 122 14 two two CD 39713 122 15 sorts sort NNS 39713 122 16 of of IN 39713 122 17 physicists physicist NNS 39713 122 18 to to TO 39713 122 19 know know VB 39713 122 20 something something NN 39713 122 21 of of IN 39713 122 22 each each DT 39713 122 23 other other JJ 39713 122 24 ; ; : 39713 122 25 in in IN 39713 122 26 studying study VBG 39713 122 27 the the DT 39713 122 28 work work NN 39713 122 29 of of IN 39713 122 30 minds mind NNS 39713 122 31 so so RB 39713 122 32 unlike unlike IN 39713 122 33 their -PRON- PRP$ 39713 122 34 own own JJ 39713 122 35 , , , 39713 122 36 they -PRON- PRP 39713 122 37 will will MD 39713 122 38 immediately immediately RB 39713 122 39 recognize recognize VB 39713 122 40 that that IN 39713 122 41 in in IN 39713 122 42 this this DT 39713 122 43 work work NN 39713 122 44 there there EX 39713 122 45 has have VBZ 39713 122 46 been be VBN 39713 122 47 an an DT 39713 122 48 accumulation accumulation NN 39713 122 49 of of IN 39713 122 50 hypotheses hypothesis NNS 39713 122 51 . . . 39713 123 1 Doubtless doubtless RB 39713 123 2 this this DT 39713 123 3 will will MD 39713 123 4 not not RB 39713 123 5 suffice suffice VB 39713 123 6 to to TO 39713 123 7 make make VB 39713 123 8 them -PRON- PRP 39713 123 9 comprehend comprehend VB 39713 123 10 that that IN 39713 123 11 they -PRON- PRP 39713 123 12 on on IN 39713 123 13 their -PRON- PRP$ 39713 123 14 part part NN 39713 123 15 have have VBP 39713 123 16 made make VBN 39713 123 17 just just RB 39713 123 18 as as RB 39713 123 19 many many JJ 39713 123 20 ; ; : 39713 123 21 each each DT 39713 123 22 sees see VBZ 39713 123 23 the the DT 39713 123 24 mote mote NN 39713 123 25 without without IN 39713 123 26 seeing see VBG 39713 123 27 the the DT 39713 123 28 beam beam NN 39713 123 29 ; ; : 39713 123 30 but but CC 39713 123 31 by by IN 39713 123 32 their -PRON- PRP$ 39713 123 33 criticisms criticism NNS 39713 123 34 they -PRON- PRP 39713 123 35 will will MD 39713 123 36 warn warn VB 39713 123 37 their -PRON- PRP$ 39713 123 38 rivals rival NNS 39713 123 39 , , , 39713 123 40 and and CC 39713 123 41 it -PRON- PRP 39713 123 42 may may MD 39713 123 43 be be VB 39713 123 44 supposed suppose VBN 39713 123 45 these these DT 39713 123 46 will will MD 39713 123 47 not not RB 39713 123 48 fail fail VB 39713 123 49 to to TO 39713 123 50 render render VB 39713 123 51 them -PRON- PRP 39713 123 52 the the DT 39713 123 53 same same JJ 39713 123 54 service service NN 39713 123 55 . . . 39713 124 1 The the DT 39713 124 2 English english JJ 39713 124 3 procedure procedure NN 39713 124 4 often often RB 39713 124 5 seems seem VBZ 39713 124 6 to to IN 39713 124 7 us -PRON- PRP 39713 124 8 crude crude JJ 39713 124 9 , , , 39713 124 10 the the DT 39713 124 11 analogies analogy NNS 39713 124 12 they -PRON- PRP 39713 124 13 think think VBP 39713 124 14 they -PRON- PRP 39713 124 15 discover discover VBP 39713 124 16 to to IN 39713 124 17 us -PRON- PRP 39713 124 18 seem seem VB 39713 124 19 at at IN 39713 124 20 times time NNS 39713 124 21 superficial superficial JJ 39713 124 22 ; ; : 39713 124 23 they -PRON- PRP 39713 124 24 are be VBP 39713 124 25 not not RB 39713 124 26 sufficiently sufficiently RB 39713 124 27 interlocked interlocked JJ 39713 124 28 , , , 39713 124 29 not not RB 39713 124 30 precise precise JJ 39713 124 31 enough enough RB 39713 124 32 ; ; : 39713 124 33 they -PRON- PRP 39713 124 34 sometimes sometimes RB 39713 124 35 permit permit VBP 39713 124 36 incoherences incoherence NNS 39713 124 37 , , , 39713 124 38 contradictions contradiction NNS 39713 124 39 in in IN 39713 124 40 terms term NNS 39713 124 41 , , , 39713 124 42 which which WDT 39713 124 43 shock shock VBP 39713 124 44 a a DT 39713 124 45 geometric geometric JJ 39713 124 46 spirit spirit NN 39713 124 47 and and CC 39713 124 48 which which WDT 39713 124 49 the the DT 39713 124 50 employment employment NN 39713 124 51 of of IN 39713 124 52 the the DT 39713 124 53 mathematical mathematical JJ 39713 124 54 method method NN 39713 124 55 would would MD 39713 124 56 immediately immediately RB 39713 124 57 have have VB 39713 124 58 put put VBN 39713 124 59 in in IN 39713 124 60 evidence evidence NN 39713 124 61 . . . 39713 125 1 But but CC 39713 125 2 most most RBS 39713 125 3 often often RB 39713 125 4 it -PRON- PRP 39713 125 5 is be VBZ 39713 125 6 , , , 39713 125 7 on on IN 39713 125 8 the the DT 39713 125 9 other other JJ 39713 125 10 hand hand NN 39713 125 11 , , , 39713 125 12 very very RB 39713 125 13 fortunate fortunate JJ 39713 125 14 that that IN 39713 125 15 they -PRON- PRP 39713 125 16 have have VBP 39713 125 17 not not RB 39713 125 18 perceived perceive VBN 39713 125 19 these these DT 39713 125 20 contradictions contradiction NNS 39713 125 21 ; ; : 39713 125 22 else else RB 39713 125 23 would would MD 39713 125 24 they -PRON- PRP 39713 125 25 have have VB 39713 125 26 rejected reject VBN 39713 125 27 their -PRON- PRP$ 39713 125 28 model model NN 39713 125 29 and and CC 39713 125 30 could could MD 39713 125 31 not not RB 39713 125 32 have have VB 39713 125 33 deduced deduce VBN 39713 125 34 from from IN 39713 125 35 it -PRON- PRP 39713 125 36 the the DT 39713 125 37 brilliant brilliant JJ 39713 125 38 results result NNS 39713 125 39 they -PRON- PRP 39713 125 40 have have VBP 39713 125 41 often often RB 39713 125 42 made make VBN 39713 125 43 to to TO 39713 125 44 come come VB 39713 125 45 out out IN 39713 125 46 of of IN 39713 125 47 it -PRON- PRP 39713 125 48 . . . 39713 126 1 And and CC 39713 126 2 then then RB 39713 126 3 these these DT 39713 126 4 very very JJ 39713 126 5 contradictions contradiction NNS 39713 126 6 , , , 39713 126 7 when when WRB 39713 126 8 they -PRON- PRP 39713 126 9 end end VBP 39713 126 10 by by IN 39713 126 11 perceiving perceive VBG 39713 126 12 them -PRON- PRP 39713 126 13 , , , 39713 126 14 have have VB 39713 126 15 the the DT 39713 126 16 advantage advantage NN 39713 126 17 of of IN 39713 126 18 showing show VBG 39713 126 19 them -PRON- PRP 39713 126 20 the the DT 39713 126 21 hypothetical hypothetical JJ 39713 126 22 character character NN 39713 126 23 of of IN 39713 126 24 their -PRON- PRP$ 39713 126 25 conceptions conception NNS 39713 126 26 , , , 39713 126 27 whereas whereas IN 39713 126 28 the the DT 39713 126 29 mathematical mathematical JJ 39713 126 30 method method NN 39713 126 31 , , , 39713 126 32 by by IN 39713 126 33 its -PRON- PRP$ 39713 126 34 apparent apparent JJ 39713 126 35 rigor rigor NN 39713 126 36 and and CC 39713 126 37 inflexible inflexible JJ 39713 126 38 course course NN 39713 126 39 , , , 39713 126 40 often often RB 39713 126 41 inspires inspire VBZ 39713 126 42 in in IN 39713 126 43 us -PRON- PRP 39713 126 44 a a DT 39713 126 45 confidence confidence NN 39713 126 46 nothing nothing NN 39713 126 47 warrants warrant NNS 39713 126 48 , , , 39713 126 49 and and CC 39713 126 50 prevents prevent VBZ 39713 126 51 our -PRON- PRP$ 39713 126 52 looking look VBG 39713 126 53 about about IN 39713 126 54 us -PRON- PRP 39713 126 55 . . . 39713 127 1 From from IN 39713 127 2 another another DT 39713 127 3 point point NN 39713 127 4 of of IN 39713 127 5 view view NN 39713 127 6 , , , 39713 127 7 however however RB 39713 127 8 , , , 39713 127 9 the the DT 39713 127 10 two two CD 39713 127 11 conceptions conception NNS 39713 127 12 are be VBP 39713 127 13 very very RB 39713 127 14 unlike unlike JJ 39713 127 15 , , , 39713 127 16 and and CC 39713 127 17 if if IN 39713 127 18 all all DT 39713 127 19 must must MD 39713 127 20 be be VB 39713 127 21 said say VBN 39713 127 22 , , , 39713 127 23 they -PRON- PRP 39713 127 24 are be VBP 39713 127 25 very very RB 39713 127 26 unlike unlike JJ 39713 127 27 because because IN 39713 127 28 of of IN 39713 127 29 a a DT 39713 127 30 common common JJ 39713 127 31 fault fault NN 39713 127 32 . . . 39713 128 1 The the DT 39713 128 2 English English NNP 39713 128 3 wish wish NN 39713 128 4 to to TO 39713 128 5 make make VB 39713 128 6 the the DT 39713 128 7 world world NN 39713 128 8 out out IN 39713 128 9 of of IN 39713 128 10 what what WP 39713 128 11 we -PRON- PRP 39713 128 12 see see VBP 39713 128 13 . . . 39713 129 1 I -PRON- PRP 39713 129 2 mean mean VBP 39713 129 3 what what WP 39713 129 4 we -PRON- PRP 39713 129 5 see see VBP 39713 129 6 with with IN 39713 129 7 the the DT 39713 129 8 unaided unaided JJ 39713 129 9 eye eye NN 39713 129 10 , , , 39713 129 11 not not RB 39713 129 12 the the DT 39713 129 13 microscope microscope NN 39713 129 14 , , , 39713 129 15 nor nor CC 39713 129 16 that that IN 39713 129 17 still still RB 39713 129 18 more more JJR 39713 129 19 subtile subtile NN 39713 129 20 microscope microscope NN 39713 129 21 , , , 39713 129 22 the the DT 39713 129 23 human human JJ 39713 129 24 head head NN 39713 129 25 guided guide VBN 39713 129 26 by by IN 39713 129 27 scientific scientific JJ 39713 129 28 induction induction NN 39713 129 29 . . . 39713 130 1 The the DT 39713 130 2 Latin Latin NNP 39713 130 3 wants want VBZ 39713 130 4 to to TO 39713 130 5 make make VB 39713 130 6 it -PRON- PRP 39713 130 7 out out IN 39713 130 8 of of IN 39713 130 9 formulas formula NNS 39713 130 10 , , , 39713 130 11 but but CC 39713 130 12 these these DT 39713 130 13 formulas formula NNS 39713 130 14 are be VBP 39713 130 15 still still RB 39713 130 16 the the DT 39713 130 17 quintessenced quintessenced JJ 39713 130 18 expression expression NN 39713 130 19 of of IN 39713 130 20 what what WP 39713 130 21 we -PRON- PRP 39713 130 22 see see VBP 39713 130 23 . . . 39713 131 1 In in IN 39713 131 2 a a DT 39713 131 3 word word NN 39713 131 4 , , , 39713 131 5 both both DT 39713 131 6 would would MD 39713 131 7 make make VB 39713 131 8 the the DT 39713 131 9 unknown unknown JJ 39713 131 10 out out IN 39713 131 11 of of IN 39713 131 12 the the DT 39713 131 13 known know VBN 39713 131 14 , , , 39713 131 15 and and CC 39713 131 16 their -PRON- PRP$ 39713 131 17 excuse excuse NN 39713 131 18 is be VBZ 39713 131 19 that that IN 39713 131 20 there there EX 39713 131 21 is be VBZ 39713 131 22 no no DT 39713 131 23 way way NN 39713 131 24 of of IN 39713 131 25 doing do VBG 39713 131 26 otherwise otherwise RB 39713 131 27 . . . 39713 132 1 And and CC 39713 132 2 yet yet RB 39713 132 3 is be VBZ 39713 132 4 this this DT 39713 132 5 legitimate legitimate JJ 39713 132 6 , , , 39713 132 7 if if IN 39713 132 8 the the DT 39713 132 9 unknown unknown NN 39713 132 10 be be VB 39713 132 11 the the DT 39713 132 12 simple simple NN 39713 132 13 and and CC 39713 132 14 the the DT 39713 132 15 known know VBN 39713 132 16 the the DT 39713 132 17 complex complex NN 39713 132 18 ? ? . 39713 133 1 Shall Shall MD 39713 133 2 we -PRON- PRP 39713 133 3 not not RB 39713 133 4 get get VB 39713 133 5 of of IN 39713 133 6 the the DT 39713 133 7 simple simple JJ 39713 133 8 a a DT 39713 133 9 false false JJ 39713 133 10 idea idea NN 39713 133 11 , , , 39713 133 12 if if IN 39713 133 13 we -PRON- PRP 39713 133 14 think think VBP 39713 133 15 it -PRON- PRP 39713 133 16 like like IN 39713 133 17 the the DT 39713 133 18 complex complex NN 39713 133 19 , , , 39713 133 20 or or CC 39713 133 21 worse bad JJR 39713 133 22 yet yet CC 39713 133 23 if if IN 39713 133 24 we -PRON- PRP 39713 133 25 strive strive VBP 39713 133 26 to to TO 39713 133 27 make make VB 39713 133 28 it -PRON- PRP 39713 133 29 out out IN 39713 133 30 of of IN 39713 133 31 elements element NNS 39713 133 32 which which WDT 39713 133 33 are be VBP 39713 133 34 themselves -PRON- PRP 39713 133 35 compounds compound NNS 39713 133 36 ? ? . 39713 134 1 Is be VBZ 39713 134 2 not not RB 39713 134 3 each each DT 39713 134 4 great great JJ 39713 134 5 advance advance NN 39713 134 6 accomplished accomplish VBD 39713 134 7 precisely precisely RB 39713 134 8 the the DT 39713 134 9 day day NN 39713 134 10 some some DT 39713 134 11 one one NN 39713 134 12 has have VBZ 39713 134 13 discovered discover VBN 39713 134 14 under under IN 39713 134 15 the the DT 39713 134 16 complex complex JJ 39713 134 17 aggregate aggregate NN 39713 134 18 shown show VBN 39713 134 19 by by IN 39713 134 20 our -PRON- PRP$ 39713 134 21 senses sense NNS 39713 134 22 something something NN 39713 134 23 far far RB 39713 134 24 more more RBR 39713 134 25 simple simple JJ 39713 134 26 , , , 39713 134 27 not not RB 39713 134 28 even even RB 39713 134 29 resembling resemble VBG 39713 134 30 it -PRON- PRP 39713 134 31 -- -- : 39713 134 32 as as IN 39713 134 33 when when WRB 39713 134 34 Newton Newton NNP 39713 134 35 replaced replace VBD 39713 134 36 Kepler Kepler NNP 39713 134 37 's 's POS 39713 134 38 three three CD 39713 134 39 laws law NNS 39713 134 40 by by IN 39713 134 41 the the DT 39713 134 42 single single JJ 39713 134 43 law law NN 39713 134 44 of of IN 39713 134 45 gravitation gravitation NN 39713 134 46 , , , 39713 134 47 which which WDT 39713 134 48 was be VBD 39713 134 49 something something NN 39713 134 50 simpler simple JJR 39713 134 51 , , , 39713 134 52 equivalent equivalent JJ 39713 134 53 , , , 39713 134 54 yet yet CC 39713 134 55 unlike unlike IN 39713 134 56 ? ? . 39713 135 1 One one CD 39713 135 2 is be VBZ 39713 135 3 justified justify VBN 39713 135 4 in in IN 39713 135 5 asking ask VBG 39713 135 6 if if IN 39713 135 7 we -PRON- PRP 39713 135 8 are be VBP 39713 135 9 not not RB 39713 135 10 on on IN 39713 135 11 the the DT 39713 135 12 eve eve NN 39713 135 13 of of IN 39713 135 14 just just RB 39713 135 15 such such PDT 39713 135 16 a a DT 39713 135 17 revolution revolution NN 39713 135 18 or or CC 39713 135 19 one one CD 39713 135 20 even even RB 39713 135 21 more more RBR 39713 135 22 important important JJ 39713 135 23 . . . 39713 136 1 Matter Matter NNP 39713 136 2 seems seem VBZ 39713 136 3 on on IN 39713 136 4 the the DT 39713 136 5 point point NN 39713 136 6 of of IN 39713 136 7 losing lose VBG 39713 136 8 its -PRON- PRP$ 39713 136 9 mass mass NN 39713 136 10 , , , 39713 136 11 its -PRON- PRP$ 39713 136 12 solidest solid JJS 39713 136 13 attribute attribute NN 39713 136 14 , , , 39713 136 15 and and CC 39713 136 16 resolving resolve VBG 39713 136 17 itself -PRON- PRP 39713 136 18 into into IN 39713 136 19 electrons electron NNS 39713 136 20 . . . 39713 137 1 Mechanics mechanic NNS 39713 137 2 must must MD 39713 137 3 then then RB 39713 137 4 give give VB 39713 137 5 place place NN 39713 137 6 to to IN 39713 137 7 a a DT 39713 137 8 broader broad JJR 39713 137 9 conception conception NN 39713 137 10 which which WDT 39713 137 11 will will MD 39713 137 12 explain explain VB 39713 137 13 it -PRON- PRP 39713 137 14 , , , 39713 137 15 but but CC 39713 137 16 which which WDT 39713 137 17 it -PRON- PRP 39713 137 18 will will MD 39713 137 19 not not RB 39713 137 20 explain explain VB 39713 137 21 . . . 39713 138 1 So so RB 39713 138 2 it -PRON- PRP 39713 138 3 was be VBD 39713 138 4 in in IN 39713 138 5 vain vain JJ 39713 138 6 the the DT 39713 138 7 attempt attempt NN 39713 138 8 was be VBD 39713 138 9 made make VBN 39713 138 10 in in IN 39713 138 11 England England NNP 39713 138 12 to to TO 39713 138 13 construct construct VB 39713 138 14 the the DT 39713 138 15 ether ether NN 39713 138 16 by by IN 39713 138 17 material material NN 39713 138 18 models model NNS 39713 138 19 , , , 39713 138 20 or or CC 39713 138 21 in in IN 39713 138 22 France France NNP 39713 138 23 to to TO 39713 138 24 apply apply VB 39713 138 25 to to IN 39713 138 26 it -PRON- PRP 39713 138 27 the the DT 39713 138 28 laws law NNS 39713 138 29 of of IN 39713 138 30 dynamic dynamic NN 39713 138 31 . . . 39713 139 1 The the DT 39713 139 2 ether ether NN 39713 139 3 it -PRON- PRP 39713 139 4 is be VBZ 39713 139 5 , , , 39713 139 6 the the DT 39713 139 7 unknown unknown NN 39713 139 8 , , , 39713 139 9 which which WDT 39713 139 10 explains explain VBZ 39713 139 11 matter matter NN 39713 139 12 , , , 39713 139 13 the the DT 39713 139 14 known know VBN 39713 139 15 ; ; : 39713 139 16 matter matter NN 39713 139 17 is be VBZ 39713 139 18 incapable incapable JJ 39713 139 19 of of IN 39713 139 20 explaining explain VBG 39713 139 21 the the DT 39713 139 22 ether ether NN 39713 139 23 . . . 39713 140 1 POINCARÉ POINCARÉ NNP 39713 140 2 . . . 39713 141 1 INTRODUCTION introduction NN 39713 141 2 BY by IN 39713 141 3 PROFESSOR PROFESSOR NNP 39713 141 4 JOSIAH JOSIAH NNP 39713 141 5 ROYCE ROYCE NNP 39713 141 6 HARVARD HARVARD NNP 39713 141 7 UNIVERSITY UNIVERSITY NNP 39713 141 8 The the DT 39713 141 9 treatise treatise NN 39713 141 10 of of IN 39713 141 11 a a DT 39713 141 12 master master NN 39713 141 13 needs need VBZ 39713 141 14 no no DT 39713 141 15 commendation commendation NN 39713 141 16 through through IN 39713 141 17 the the DT 39713 141 18 words word NNS 39713 141 19 of of IN 39713 141 20 a a DT 39713 141 21 mere mere JJ 39713 141 22 learner learner NN 39713 141 23 . . . 39713 142 1 But but CC 39713 142 2 , , , 39713 142 3 since since IN 39713 142 4 my -PRON- PRP$ 39713 142 5 friend friend NN 39713 142 6 and and CC 39713 142 7 former former JJ 39713 142 8 fellow fellow NN 39713 142 9 student student NN 39713 142 10 , , , 39713 142 11 the the DT 39713 142 12 translator translator NN 39713 142 13 of of IN 39713 142 14 this this DT 39713 142 15 volume volume NN 39713 142 16 , , , 39713 142 17 has have VBZ 39713 142 18 joined join VBN 39713 142 19 with with IN 39713 142 20 another another DT 39713 142 21 of of IN 39713 142 22 my -PRON- PRP$ 39713 142 23 colleagues colleague NNS 39713 142 24 , , , 39713 142 25 Professor Professor NNP 39713 142 26 Cattell Cattell NNP 39713 142 27 , , , 39713 142 28 in in IN 39713 142 29 asking ask VBG 39713 142 30 me -PRON- PRP 39713 142 31 to to TO 39713 142 32 undertake undertake VB 39713 142 33 the the DT 39713 142 34 task task NN 39713 142 35 of of IN 39713 142 36 calling call VBG 39713 142 37 the the DT 39713 142 38 attention attention NN 39713 142 39 of of IN 39713 142 40 my -PRON- PRP$ 39713 142 41 fellow fellow JJ 39713 142 42 students student NNS 39713 142 43 to to IN 39713 142 44 the the DT 39713 142 45 importance importance NN 39713 142 46 and and CC 39713 142 47 to to IN 39713 142 48 the the DT 39713 142 49 scope scope NN 39713 142 50 of of IN 39713 142 51 M. M. NNP 39713 142 52 Poincaré Poincaré NNP 39713 142 53 's 's POS 39713 142 54 volume volume NN 39713 142 55 , , , 39713 142 56 I -PRON- PRP 39713 142 57 accept accept VBP 39713 142 58 the the DT 39713 142 59 office office NN 39713 142 60 , , , 39713 142 61 not not RB 39713 142 62 as as IN 39713 142 63 one one CD 39713 142 64 competent competent NN 39713 142 65 to to TO 39713 142 66 pass pass VB 39713 142 67 judgment judgment NN 39713 142 68 upon upon IN 39713 142 69 the the DT 39713 142 70 book book NN 39713 142 71 , , , 39713 142 72 but but CC 39713 142 73 simply simply RB 39713 142 74 as as IN 39713 142 75 a a DT 39713 142 76 learner learner NN 39713 142 77 , , , 39713 142 78 desirous desirous JJ 39713 142 79 to to TO 39713 142 80 increase increase VB 39713 142 81 the the DT 39713 142 82 number number NN 39713 142 83 of of IN 39713 142 84 those those DT 39713 142 85 amongst amongst IN 39713 142 86 us -PRON- PRP 39713 142 87 who who WP 39713 142 88 are be VBP 39713 142 89 already already RB 39713 142 90 interested interested JJ 39713 142 91 in in IN 39713 142 92 the the DT 39713 142 93 type type NN 39713 142 94 of of IN 39713 142 95 researches research NNS 39713 142 96 to to TO 39713 142 97 which which WDT 39713 142 98 M. M. NNP 39713 142 99 Poincaré Poincaré NNP 39713 142 100 has have VBZ 39713 142 101 so so RB 39713 142 102 notably notably RB 39713 142 103 contributed contribute VBN 39713 142 104 . . . 39713 143 1 I -PRON- PRP 39713 143 2 The the DT 39713 143 3 branches branch NNS 39713 143 4 of of IN 39713 143 5 inquiry inquiry NN 39713 143 6 collectively collectively RB 39713 143 7 known know VBN 39713 143 8 as as IN 39713 143 9 the the DT 39713 143 10 Philosophy Philosophy NNP 39713 143 11 of of IN 39713 143 12 Science Science NNP 39713 143 13 have have VBP 39713 143 14 undergone undergo VBN 39713 143 15 great great JJ 39713 143 16 changes change NNS 39713 143 17 since since IN 39713 143 18 the the DT 39713 143 19 appearance appearance NN 39713 143 20 of of IN 39713 143 21 Herbert Herbert NNP 39713 143 22 Spencer Spencer NNP 39713 143 23 's 's POS 39713 143 24 _ _ NNP 39713 143 25 First First NNP 39713 143 26 Principles Principles NNPS 39713 143 27 _ _ NNP 39713 143 28 , , , 39713 143 29 that that DT 39713 143 30 volume volume NN 39713 143 31 which which WDT 39713 143 32 a a DT 39713 143 33 large large JJ 39713 143 34 part part NN 39713 143 35 of of IN 39713 143 36 the the DT 39713 143 37 general general JJ 39713 143 38 public public NN 39713 143 39 in in IN 39713 143 40 this this DT 39713 143 41 country country NN 39713 143 42 used use VBD 39713 143 43 to to TO 39713 143 44 regard regard VB 39713 143 45 as as IN 39713 143 46 the the DT 39713 143 47 representative representative JJ 39713 143 48 compend compend NN 39713 143 49 of of IN 39713 143 50 all all DT 39713 143 51 modern modern JJ 39713 143 52 wisdom wisdom NN 39713 143 53 relating relate VBG 39713 143 54 to to IN 39713 143 55 the the DT 39713 143 56 foundations foundation NNS 39713 143 57 of of IN 39713 143 58 scientific scientific JJ 39713 143 59 knowledge knowledge NN 39713 143 60 . . . 39713 144 1 The the DT 39713 144 2 summary summary NN 39713 144 3 which which WDT 39713 144 4 M. M. NNP 39713 144 5 Poincaré Poincaré NNP 39713 144 6 gives give VBZ 39713 144 7 , , , 39713 144 8 at at IN 39713 144 9 the the DT 39713 144 10 outset outset NN 39713 144 11 of of IN 39713 144 12 his -PRON- PRP$ 39713 144 13 own own JJ 39713 144 14 introduction introduction NN 39713 144 15 to to IN 39713 144 16 the the DT 39713 144 17 present present JJ 39713 144 18 work work NN 39713 144 19 , , , 39713 144 20 where where WRB 39713 144 21 he -PRON- PRP 39713 144 22 states state VBZ 39713 144 23 the the DT 39713 144 24 view view NN 39713 144 25 which which WDT 39713 144 26 the the DT 39713 144 27 ' ' `` 39713 144 28 superficial superficial JJ 39713 144 29 observer observer NN 39713 144 30 ' ' '' 39713 144 31 takes take NNS 39713 144 32 of of IN 39713 144 33 scientific scientific JJ 39713 144 34 truth truth NN 39713 144 35 , , , 39713 144 36 suggests suggest VBZ 39713 144 37 , , , 39713 144 38 not not RB 39713 144 39 indeed indeed RB 39713 144 40 Spencer Spencer NNP 39713 144 41 's 's POS 39713 144 42 own own JJ 39713 144 43 most most RBS 39713 144 44 characteristic characteristic JJ 39713 144 45 theories theory NNS 39713 144 46 , , , 39713 144 47 but but CC 39713 144 48 something something NN 39713 144 49 of of IN 39713 144 50 the the DT 39713 144 51 spirit spirit NN 39713 144 52 in in IN 39713 144 53 which which WDT 39713 144 54 many many JJ 39713 144 55 disciples disciple NNS 39713 144 56 of of IN 39713 144 57 Spencer Spencer NNP 39713 144 58 interpreting interpret VBG 39713 144 59 their -PRON- PRP$ 39713 144 60 master master NN 39713 144 61 's 's POS 39713 144 62 formulas formula NNS 39713 144 63 used use VBN 39713 144 64 to to TO 39713 144 65 conceive conceive VB 39713 144 66 the the DT 39713 144 67 position position NN 39713 144 68 which which WDT 39713 144 69 science science NN 39713 144 70 occupies occupie NNS 39713 144 71 in in IN 39713 144 72 dealing deal VBG 39713 144 73 with with IN 39713 144 74 experience experience NN 39713 144 75 . . . 39713 145 1 It -PRON- PRP 39713 145 2 was be VBD 39713 145 3 well well RB 39713 145 4 known known JJ 39713 145 5 to to IN 39713 145 6 them -PRON- PRP 39713 145 7 , , , 39713 145 8 indeed indeed RB 39713 145 9 , , , 39713 145 10 that that DT 39713 145 11 experience experience NN 39713 145 12 is be VBZ 39713 145 13 a a DT 39713 145 14 constant constant JJ 39713 145 15 guide guide NN 39713 145 16 , , , 39713 145 17 and and CC 39713 145 18 an an DT 39713 145 19 inexhaustible inexhaustible JJ 39713 145 20 source source NN 39713 145 21 both both DT 39713 145 22 of of IN 39713 145 23 novel novel JJ 39713 145 24 scientific scientific JJ 39713 145 25 results result NNS 39713 145 26 and and CC 39713 145 27 of of IN 39713 145 28 unsolved unsolved JJ 39713 145 29 problems problem NNS 39713 145 30 ; ; : 39713 145 31 but but CC 39713 145 32 the the DT 39713 145 33 fundamental fundamental JJ 39713 145 34 Spencerian spencerian JJ 39713 145 35 principles principle NNS 39713 145 36 of of IN 39713 145 37 science science NN 39713 145 38 , , , 39713 145 39 such such JJ 39713 145 40 as as IN 39713 145 41 ' ' `` 39713 145 42 the the DT 39713 145 43 persistence persistence NN 39713 145 44 of of IN 39713 145 45 force force NN 39713 145 46 , , , 39713 145 47 ' ' '' 39713 145 48 the the DT 39713 145 49 ' ' `` 39713 145 50 rhythm rhythm NN 39713 145 51 of of IN 39713 145 52 motion motion NN 39713 145 53 ' ' '' 39713 145 54 and and CC 39713 145 55 the the DT 39713 145 56 rest rest NN 39713 145 57 , , , 39713 145 58 were be VBD 39713 145 59 treated treat VBN 39713 145 60 by by IN 39713 145 61 Spencer Spencer NNP 39713 145 62 himself -PRON- PRP 39713 145 63 as as RB 39713 145 64 demonstrably demonstrably RB 39713 145 65 objective objective JJ 39713 145 66 , , , 39713 145 67 although although IN 39713 145 68 indeed indeed RB 39713 145 69 ' ' `` 39713 145 70 relative relative JJ 39713 145 71 ' ' '' 39713 145 72 truths truth NNS 39713 145 73 , , , 39713 145 74 capable capable JJ 39713 145 75 of of IN 39713 145 76 being be VBG 39713 145 77 tested test VBN 39713 145 78 once once RB 39713 145 79 for for IN 39713 145 80 all all DT 39713 145 81 by by IN 39713 145 82 the the DT 39713 145 83 ' ' `` 39713 145 84 inconceivability inconceivability NN 39713 145 85 of of IN 39713 145 86 the the DT 39713 145 87 opposite opposite NN 39713 145 88 , , , 39713 145 89 ' ' '' 39713 145 90 and and CC 39713 145 91 certain certain JJ 39713 145 92 to to TO 39713 145 93 hold hold VB 39713 145 94 true true JJ 39713 145 95 for for IN 39713 145 96 the the DT 39713 145 97 whole whole JJ 39713 145 98 ' ' `` 39713 145 99 knowable knowable JJ 39713 145 100 ' ' '' 39713 145 101 universe universe NN 39713 145 102 . . . 39713 146 1 Thus thus RB 39713 146 2 , , , 39713 146 3 whether whether IN 39713 146 4 one one CD 39713 146 5 dwelt dwelt NN 39713 146 6 upon upon IN 39713 146 7 the the DT 39713 146 8 results result NNS 39713 146 9 of of IN 39713 146 10 such such PDT 39713 146 11 a a DT 39713 146 12 mathematical mathematical JJ 39713 146 13 procedure procedure NN 39713 146 14 as as IN 39713 146 15 that that DT 39713 146 16 to to TO 39713 146 17 which which WDT 39713 146 18 M. M. NNP 39713 146 19 Poincaré Poincaré NNP 39713 146 20 refers refer VBZ 39713 146 21 in in IN 39713 146 22 his -PRON- PRP$ 39713 146 23 opening opening NN 39713 146 24 paragraphs paragraph NNS 39713 146 25 , , , 39713 146 26 or or CC 39713 146 27 whether whether IN 39713 146 28 , , , 39713 146 29 like like IN 39713 146 30 Spencer Spencer NNP 39713 146 31 himself -PRON- PRP 39713 146 32 , , , 39713 146 33 one one CD 39713 146 34 applied apply VBD 39713 146 35 the the DT 39713 146 36 ' ' `` 39713 146 37 first first JJ 39713 146 38 principles principle NNS 39713 146 39 ' ' '' 39713 146 40 to to IN 39713 146 41 regions region NNS 39713 146 42 of of IN 39713 146 43 less less JJR 39713 146 44 exact exact JJ 39713 146 45 science science NN 39713 146 46 , , , 39713 146 47 this this DT 39713 146 48 confidence confidence NN 39713 146 49 that that IN 39713 146 50 a a DT 39713 146 51 certain certain JJ 39713 146 52 orthodoxy orthodoxy NN 39713 146 53 regarding regard VBG 39713 146 54 the the DT 39713 146 55 principles principle NNS 39713 146 56 of of IN 39713 146 57 science science NN 39713 146 58 was be VBD 39713 146 59 established establish VBN 39713 146 60 forever forever RB 39713 146 61 was be VBD 39713 146 62 characteristic characteristic JJ 39713 146 63 of of IN 39713 146 64 the the DT 39713 146 65 followers follower NNS 39713 146 66 of of IN 39713 146 67 the the DT 39713 146 68 movement movement NN 39713 146 69 in in IN 39713 146 70 question question NN 39713 146 71 . . . 39713 147 1 Experience experience NN 39713 147 2 , , , 39713 147 3 lighted light VBN 39713 147 4 up up RP 39713 147 5 by by IN 39713 147 6 reason reason NN 39713 147 7 , , , 39713 147 8 seemed seem VBD 39713 147 9 to to IN 39713 147 10 them -PRON- PRP 39713 147 11 to to TO 39713 147 12 have have VB 39713 147 13 predetermined predetermine VBN 39713 147 14 for for IN 39713 147 15 all all DT 39713 147 16 future future JJ 39713 147 17 time time NN 39713 147 18 certain certain JJ 39713 147 19 great great JJ 39713 147 20 theoretical theoretical JJ 39713 147 21 results result NNS 39713 147 22 regarding regard VBG 39713 147 23 the the DT 39713 147 24 real real JJ 39713 147 25 constitution constitution NN 39713 147 26 of of IN 39713 147 27 the the DT 39713 147 28 ' ' `` 39713 147 29 knowable knowable JJ 39713 147 30 ' ' '' 39713 147 31 cosmos cosmo NNS 39713 147 32 . . . 39713 148 1 Whoever whoever WP 39713 148 2 doubted doubt VBD 39713 148 3 this this DT 39713 148 4 doubted doubt VBN 39713 148 5 ' ' '' 39713 148 6 the the DT 39713 148 7 verdict verdict NN 39713 148 8 of of IN 39713 148 9 science science NN 39713 148 10 . . . 39713 148 11 ' ' '' 39713 149 1 Some some DT 39713 149 2 of of IN 39713 149 3 us -PRON- PRP 39713 149 4 well well RB 39713 149 5 remember remember VBP 39713 149 6 how how WRB 39713 149 7 , , , 39713 149 8 when when WRB 39713 149 9 Stallo Stallo NNP 39713 149 10 's 's POS 39713 149 11 ' ' `` 39713 149 12 Principles Principles NNPS 39713 149 13 and and CC 39713 149 14 Theories Theories NNPS 39713 149 15 of of IN 39713 149 16 Modern Modern NNP 39713 149 17 Physics Physics NNP 39713 149 18 ' ' POS 39713 149 19 first first RB 39713 149 20 appeared appear VBD 39713 149 21 , , , 39713 149 22 this this DT 39713 149 23 sense sense NN 39713 149 24 of of IN 39713 149 25 scientific scientific JJ 39713 149 26 orthodoxy orthodoxy NN 39713 149 27 was be VBD 39713 149 28 shocked shock VBN 39713 149 29 amongst amongst IN 39713 149 30 many many JJ 39713 149 31 of of IN 39713 149 32 our -PRON- PRP$ 39713 149 33 American american JJ 39713 149 34 readers reader NNS 39713 149 35 and and CC 39713 149 36 teachers teacher NNS 39713 149 37 of of IN 39713 149 38 science science NN 39713 149 39 . . . 39713 150 1 I -PRON- PRP 39713 150 2 myself -PRON- PRP 39713 150 3 can can MD 39713 150 4 recall recall VB 39713 150 5 to to TO 39713 150 6 mind mind VB 39713 150 7 some some DT 39713 150 8 highly highly RB 39713 150 9 authoritative authoritative JJ 39713 150 10 reviews review NNS 39713 150 11 of of IN 39713 150 12 that that DT 39713 150 13 work work NN 39713 150 14 in in IN 39713 150 15 which which WDT 39713 150 16 the the DT 39713 150 17 author author NN 39713 150 18 was be VBD 39713 150 19 more more RBR 39713 150 20 or or CC 39713 150 21 less less RBR 39713 150 22 sharply sharply RB 39713 150 23 taken take VBN 39713 150 24 to to IN 39713 150 25 task task NN 39713 150 26 for for IN 39713 150 27 his -PRON- PRP$ 39713 150 28 ignorant ignorant JJ 39713 150 29 presumption presumption NN 39713 150 30 in in IN 39713 150 31 speaking speak VBG 39713 150 32 with with IN 39713 150 33 the the DT 39713 150 34 freedom freedom NN 39713 150 35 that that IN 39713 150 36 he -PRON- PRP 39713 150 37 there there RB 39713 150 38 used use VBD 39713 150 39 regarding regard VBG 39713 150 40 such such JJ 39713 150 41 sacred sacred JJ 39713 150 42 possessions possession NNS 39713 150 43 of of IN 39713 150 44 humanity humanity NN 39713 150 45 as as IN 39713 150 46 the the DT 39713 150 47 fundamental fundamental JJ 39713 150 48 concepts concept NNS 39713 150 49 of of IN 39713 150 50 physics physics NN 39713 150 51 . . . 39713 151 1 That that DT 39713 151 2 very very JJ 39713 151 3 book book NN 39713 151 4 , , , 39713 151 5 however however RB 39713 151 6 , , , 39713 151 7 has have VBZ 39713 151 8 quite quite RB 39713 151 9 lately lately RB 39713 151 10 been be VBN 39713 151 11 translated translate VBN 39713 151 12 into into IN 39713 151 13 German German NNP 39713 151 14 as as IN 39713 151 15 a a DT 39713 151 16 valuable valuable JJ 39713 151 17 contribution contribution NN 39713 151 18 to to IN 39713 151 19 some some DT 39713 151 20 of of IN 39713 151 21 the the DT 39713 151 22 most most RBS 39713 151 23 recent recent JJ 39713 151 24 efforts effort NNS 39713 151 25 to to TO 39713 151 26 reconstitute reconstitute VB 39713 151 27 a a DT 39713 151 28 modern modern JJ 39713 151 29 ' ' `` 39713 151 30 philosophy philosophy NN 39713 151 31 of of IN 39713 151 32 nature nature NN 39713 151 33 . . . 39713 151 34 ' ' '' 39713 152 1 And and CC 39713 152 2 whatever whatever WDT 39713 152 3 may may MD 39713 152 4 be be VB 39713 152 5 otherwise otherwise RB 39713 152 6 thought think VBN 39713 152 7 of of IN 39713 152 8 Stallo Stallo NNP 39713 152 9 's 's POS 39713 152 10 critical critical JJ 39713 152 11 methods method NNS 39713 152 12 , , , 39713 152 13 or or CC 39713 152 14 of of IN 39713 152 15 his -PRON- PRP$ 39713 152 16 results result NNS 39713 152 17 , , , 39713 152 18 there there EX 39713 152 19 can can MD 39713 152 20 be be VB 39713 152 21 no no DT 39713 152 22 doubt doubt NN 39713 152 23 that that IN 39713 152 24 , , , 39713 152 25 at at IN 39713 152 26 the the DT 39713 152 27 present present JJ 39713 152 28 moment moment NN 39713 152 29 , , , 39713 152 30 if if IN 39713 152 31 his -PRON- PRP$ 39713 152 32 book book NN 39713 152 33 were be VBD 39713 152 34 to to TO 39713 152 35 appear appear VB 39713 152 36 for for IN 39713 152 37 the the DT 39713 152 38 first first JJ 39713 152 39 time time NN 39713 152 40 , , , 39713 152 41 nobody nobody NN 39713 152 42 would would MD 39713 152 43 attempt attempt VB 39713 152 44 to to TO 39713 152 45 discredit discredit VB 39713 152 46 the the DT 39713 152 47 work work NN 39713 152 48 merely merely RB 39713 152 49 on on IN 39713 152 50 account account NN 39713 152 51 of of IN 39713 152 52 its -PRON- PRP$ 39713 152 53 disposition disposition NN 39713 152 54 to to TO 39713 152 55 be be VB 39713 152 56 agnostic agnostic JJ 39713 152 57 regarding regard VBG 39713 152 58 the the DT 39713 152 59 objective objective JJ 39713 152 60 reality reality NN 39713 152 61 of of IN 39713 152 62 the the DT 39713 152 63 concepts concept NNS 39713 152 64 of of IN 39713 152 65 the the DT 39713 152 66 kinetic kinetic JJ 39713 152 67 theory theory NN 39713 152 68 of of IN 39713 152 69 gases gas NNS 39713 152 70 , , , 39713 152 71 or or CC 39713 152 72 on on IN 39713 152 73 account account NN 39713 152 74 of of IN 39713 152 75 its -PRON- PRP$ 39713 152 76 call call NN 39713 152 77 for for IN 39713 152 78 a a DT 39713 152 79 logical logical JJ 39713 152 80 rearrangement rearrangement NN 39713 152 81 of of IN 39713 152 82 the the DT 39713 152 83 fundamental fundamental JJ 39713 152 84 concepts concept NNS 39713 152 85 of of IN 39713 152 86 the the DT 39713 152 87 theory theory NN 39713 152 88 of of IN 39713 152 89 energy energy NN 39713 152 90 . . . 39713 153 1 We -PRON- PRP 39713 153 2 are be VBP 39713 153 3 no no RB 39713 153 4 longer long RBR 39713 153 5 able able JJ 39713 153 6 so so RB 39713 153 7 easily easily RB 39713 153 8 to to TO 39713 153 9 know know VB 39713 153 10 heretics heretic NNS 39713 153 11 at at IN 39713 153 12 first first JJ 39713 153 13 sight sight NN 39713 153 14 . . . 39713 154 1 For for IN 39713 154 2 we -PRON- PRP 39713 154 3 now now RB 39713 154 4 appear appear VBP 39713 154 5 to to TO 39713 154 6 stand stand VB 39713 154 7 in in IN 39713 154 8 this this DT 39713 154 9 position position NN 39713 154 10 : : : 39713 154 11 The the DT 39713 154 12 control control NN 39713 154 13 of of IN 39713 154 14 natural natural JJ 39713 154 15 phenomena phenomenon NNS 39713 154 16 , , , 39713 154 17 which which WDT 39713 154 18 through through IN 39713 154 19 the the DT 39713 154 20 sciences science NNS 39713 154 21 men man NNS 39713 154 22 have have VBP 39713 154 23 attained attain VBN 39713 154 24 , , , 39713 154 25 grows grow VBZ 39713 154 26 daily daily JJ 39713 154 27 vaster vaster NN 39713 154 28 and and CC 39713 154 29 more more RBR 39713 154 30 detailed detailed JJ 39713 154 31 , , , 39713 154 32 and and CC 39713 154 33 in in IN 39713 154 34 its -PRON- PRP$ 39713 154 35 details detail NNS 39713 154 36 more more RBR 39713 154 37 assured assure VBD 39713 154 38 . . . 39713 155 1 Phenomena Phenomena NNP 39713 155 2 men man NNS 39713 155 3 know know VBP 39713 155 4 and and CC 39713 155 5 predict predict VBP 39713 155 6 better well RBR 39713 155 7 than than IN 39713 155 8 ever ever RB 39713 155 9 . . . 39713 156 1 But but CC 39713 156 2 regarding regard VBG 39713 156 3 the the DT 39713 156 4 most most RBS 39713 156 5 general general JJ 39713 156 6 theories theory NNS 39713 156 7 , , , 39713 156 8 and and CC 39713 156 9 the the DT 39713 156 10 most most RBS 39713 156 11 fundamental fundamental JJ 39713 156 12 , , , 39713 156 13 of of IN 39713 156 14 science science NN 39713 156 15 , , , 39713 156 16 there there EX 39713 156 17 is be VBZ 39713 156 18 no no DT 39713 156 19 longer long RBR 39713 156 20 any any DT 39713 156 21 notable notable JJ 39713 156 22 scientific scientific JJ 39713 156 23 orthodoxy orthodoxy NN 39713 156 24 . . . 39713 157 1 Thus thus RB 39713 157 2 , , , 39713 157 3 as as IN 39713 157 4 knowledge knowledge NN 39713 157 5 grows grow VBZ 39713 157 6 firmer firm JJR 39713 157 7 and and CC 39713 157 8 wider wide JJR 39713 157 9 , , , 39713 157 10 conceptual conceptual JJ 39713 157 11 construction construction NN 39713 157 12 becomes become VBZ 39713 157 13 less less RBR 39713 157 14 rigid rigid JJ 39713 157 15 . . . 39713 158 1 The the DT 39713 158 2 field field NN 39713 158 3 of of IN 39713 158 4 the the DT 39713 158 5 theoretical theoretical JJ 39713 158 6 philosophy philosophy NN 39713 158 7 of of IN 39713 158 8 nature nature NN 39713 158 9 -- -- : 39713 158 10 yes yes UH 39713 158 11 , , , 39713 158 12 the the DT 39713 158 13 field field NN 39713 158 14 of of IN 39713 158 15 the the DT 39713 158 16 logic logic NN 39713 158 17 of of IN 39713 158 18 science science NN 39713 158 19 -- -- : 39713 158 20 this this DT 39713 158 21 whole whole JJ 39713 158 22 region region NN 39713 158 23 is be VBZ 39713 158 24 to to IN 39713 158 25 - - HYPH 39713 158 26 day day NN 39713 158 27 an an DT 39713 158 28 open open JJ 39713 158 29 one one NN 39713 158 30 . . . 39713 159 1 Whoever whoever WP 39713 159 2 will will MD 39713 159 3 work work VB 39713 159 4 there there EX 39713 159 5 must must MD 39713 159 6 indeed indeed RB 39713 159 7 accept accept VB 39713 159 8 the the DT 39713 159 9 verdict verdict NN 39713 159 10 of of IN 39713 159 11 experience experience NN 39713 159 12 regarding regard VBG 39713 159 13 what what WP 39713 159 14 happens happen VBZ 39713 159 15 in in IN 39713 159 16 the the DT 39713 159 17 natural natural JJ 39713 159 18 world world NN 39713 159 19 . . . 39713 160 1 So so RB 39713 160 2 far far RB 39713 160 3 he -PRON- PRP 39713 160 4 is be VBZ 39713 160 5 indeed indeed RB 39713 160 6 bound bind VBN 39713 160 7 . . . 39713 161 1 But but CC 39713 161 2 he -PRON- PRP 39713 161 3 may may MD 39713 161 4 undertake undertake VB 39713 161 5 without without IN 39713 161 6 hindrance hindrance NN 39713 161 7 from from IN 39713 161 8 mere mere JJ 39713 161 9 tradition tradition NN 39713 161 10 the the DT 39713 161 11 task task NN 39713 161 12 of of IN 39713 161 13 trying try VBG 39713 161 14 afresh afresh RB 39713 161 15 to to TO 39713 161 16 reduce reduce VB 39713 161 17 what what WP 39713 161 18 happens happen VBZ 39713 161 19 to to IN 39713 161 20 conceptual conceptual JJ 39713 161 21 unity unity NN 39713 161 22 . . . 39713 162 1 The the DT 39713 162 2 circle circle NN 39713 162 3 - - HYPH 39713 162 4 squarers squarer NNS 39713 162 5 and and CC 39713 162 6 the the DT 39713 162 7 inventors inventor NNS 39713 162 8 of of IN 39713 162 9 devices device NNS 39713 162 10 for for IN 39713 162 11 perpetual perpetual JJ 39713 162 12 motion motion NN 39713 162 13 are be VBP 39713 162 14 indeed indeed RB 39713 162 15 still still RB 39713 162 16 as as RB 39713 162 17 unwelcome unwelcome JJ 39713 162 18 in in IN 39713 162 19 scientific scientific JJ 39713 162 20 company company NN 39713 162 21 as as IN 39713 162 22 they -PRON- PRP 39713 162 23 were be VBD 39713 162 24 in in IN 39713 162 25 the the DT 39713 162 26 days day NNS 39713 162 27 when when WRB 39713 162 28 scientific scientific JJ 39713 162 29 orthodoxy orthodoxy NN 39713 162 30 was be VBD 39713 162 31 more more RBR 39713 162 32 rigidly rigidly RB 39713 162 33 defined define VBN 39713 162 34 ; ; : 39713 162 35 but but CC 39713 162 36 that that DT 39713 162 37 is be VBZ 39713 162 38 not not RB 39713 162 39 because because IN 39713 162 40 the the DT 39713 162 41 foundations foundation NNS 39713 162 42 of of IN 39713 162 43 geometry geometry NN 39713 162 44 are be VBP 39713 162 45 now now RB 39713 162 46 viewed view VBN 39713 162 47 as as RB 39713 162 48 completely completely RB 39713 162 49 settled settle VBN 39713 162 50 , , , 39713 162 51 beyond beyond IN 39713 162 52 controversy controversy NN 39713 162 53 , , , 39713 162 54 nor nor CC 39713 162 55 yet yet RB 39713 162 56 because because IN 39713 162 57 the the DT 39713 162 58 ' ' `` 39713 162 59 persistence persistence NN 39713 162 60 of of IN 39713 162 61 force force NN 39713 162 62 ' ' '' 39713 162 63 has have VBZ 39713 162 64 been be VBN 39713 162 65 finally finally RB 39713 162 66 so so RB 39713 162 67 defined define VBN 39713 162 68 as as IN 39713 162 69 to to TO 39713 162 70 make make VB 39713 162 71 the the DT 39713 162 72 ' ' `` 39713 162 73 opposite opposite JJ 39713 162 74 inconceivable inconceivable JJ 39713 162 75 ' ' '' 39713 162 76 and and CC 39713 162 77 the the DT 39713 162 78 doctrine doctrine NN 39713 162 79 of of IN 39713 162 80 energy energy NN 39713 162 81 beyond beyond IN 39713 162 82 the the DT 39713 162 83 reach reach NN 39713 162 84 of of IN 39713 162 85 novel novel JJ 39713 162 86 formulations formulation NNS 39713 162 87 . . . 39713 163 1 No no UH 39713 163 2 , , , 39713 163 3 the the DT 39713 163 4 circle circle NN 39713 163 5 - - HYPH 39713 163 6 squarers squarer NNS 39713 163 7 and and CC 39713 163 8 the the DT 39713 163 9 inventors inventor NNS 39713 163 10 of of IN 39713 163 11 devices device NNS 39713 163 12 for for IN 39713 163 13 perpetual perpetual JJ 39713 163 14 motion motion NN 39713 163 15 are be VBP 39713 163 16 to to IN 39713 163 17 - - HYPH 39713 163 18 day day NN 39713 163 19 discredited discredit VBN 39713 163 20 , , , 39713 163 21 not not RB 39713 163 22 because because IN 39713 163 23 of of IN 39713 163 24 any any DT 39713 163 25 unorthodoxy unorthodoxy NN 39713 163 26 of of IN 39713 163 27 their -PRON- PRP$ 39713 163 28 general general JJ 39713 163 29 philosophy philosophy NN 39713 163 30 of of IN 39713 163 31 nature nature NN 39713 163 32 , , , 39713 163 33 but but CC 39713 163 34 because because IN 39713 163 35 their -PRON- PRP$ 39713 163 36 views view NNS 39713 163 37 regarding regard VBG 39713 163 38 special special JJ 39713 163 39 facts fact NNS 39713 163 40 and and CC 39713 163 41 processes process NNS 39713 163 42 stand stand VBP 39713 163 43 in in IN 39713 163 44 conflict conflict NN 39713 163 45 with with IN 39713 163 46 certain certain JJ 39713 163 47 equally equally RB 39713 163 48 special special JJ 39713 163 49 results result NNS 39713 163 50 of of IN 39713 163 51 science science NN 39713 163 52 which which WDT 39713 163 53 themselves -PRON- PRP 39713 163 54 admit admit VBP 39713 163 55 of of IN 39713 163 56 very very RB 39713 163 57 various various JJ 39713 163 58 general general JJ 39713 163 59 theoretical theoretical JJ 39713 163 60 interpretations interpretation NNS 39713 163 61 . . . 39713 164 1 Certain certain JJ 39713 164 2 properties property NNS 39713 164 3 of of IN 39713 164 4 the the DT 39713 164 5 irrational irrational JJ 39713 164 6 number number NN 39713 164 7 [ [ -LRB- 39713 164 8 pi pi NN 39713 164 9 ] ] -RRB- 39713 164 10 are be VBP 39713 164 11 known know VBN 39713 164 12 , , , 39713 164 13 in in IN 39713 164 14 sufficient sufficient JJ 39713 164 15 multitude multitude NN 39713 164 16 to to TO 39713 164 17 justify justify VB 39713 164 18 the the DT 39713 164 19 mathematician mathematician NN 39713 164 20 in in IN 39713 164 21 declining decline VBG 39713 164 22 to to TO 39713 164 23 listen listen VB 39713 164 24 to to IN 39713 164 25 the the DT 39713 164 26 arguments argument NNS 39713 164 27 of of IN 39713 164 28 the the DT 39713 164 29 circle circle NN 39713 164 30 - - HYPH 39713 164 31 squarer squarer NN 39713 164 32 ; ; , 39713 164 33 but but CC 39713 164 34 , , , 39713 164 35 despite despite IN 39713 164 36 great great JJ 39713 164 37 advances advance NNS 39713 164 38 , , , 39713 164 39 and and CC 39713 164 40 despite despite IN 39713 164 41 the the DT 39713 164 42 assured assure VBN 39713 164 43 results result NNS 39713 164 44 of of IN 39713 164 45 Dedekind Dedekind NNP 39713 164 46 , , , 39713 164 47 of of IN 39713 164 48 Cantor Cantor NNP 39713 164 49 , , , 39713 164 50 of of IN 39713 164 51 Weierstrass Weierstrass NNP 39713 164 52 and and CC 39713 164 53 of of IN 39713 164 54 various various JJ 39713 164 55 others other NNS 39713 164 56 , , , 39713 164 57 the the DT 39713 164 58 general general JJ 39713 164 59 theory theory NN 39713 164 60 of of IN 39713 164 61 the the DT 39713 164 62 logic logic NN 39713 164 63 of of IN 39713 164 64 the the DT 39713 164 65 numbers number NNS 39713 164 66 , , , 39713 164 67 rational rational JJ 39713 164 68 and and CC 39713 164 69 irrational irrational JJ 39713 164 70 , , , 39713 164 71 still still RB 39713 164 72 presents present VBZ 39713 164 73 several several JJ 39713 164 74 important important JJ 39713 164 75 features feature NNS 39713 164 76 of of IN 39713 164 77 great great JJ 39713 164 78 obscurity obscurity NN 39713 164 79 ; ; : 39713 164 80 and and CC 39713 164 81 the the DT 39713 164 82 philosophy philosophy NN 39713 164 83 of of IN 39713 164 84 the the DT 39713 164 85 concepts concept NNS 39713 164 86 of of IN 39713 164 87 geometry geometry NN 39713 164 88 yet yet RB 39713 164 89 remains remain VBZ 39713 164 90 , , , 39713 164 91 in in IN 39713 164 92 several several JJ 39713 164 93 very very RB 39713 164 94 notable notable JJ 39713 164 95 respects respect NNS 39713 164 96 , , , 39713 164 97 unconquered unconquered JJ 39713 164 98 territory territory NN 39713 164 99 , , , 39713 164 100 despite despite IN 39713 164 101 the the DT 39713 164 102 work work NN 39713 164 103 of of IN 39713 164 104 Hilbert Hilbert NNP 39713 164 105 and and CC 39713 164 106 of of IN 39713 164 107 Pieri Pieri NNP 39713 164 108 , , , 39713 164 109 and and CC 39713 164 110 of of IN 39713 164 111 our -PRON- PRP$ 39713 164 112 author author NN 39713 164 113 himself -PRON- PRP 39713 164 114 . . . 39713 165 1 The the DT 39713 165 2 ordinary ordinary JJ 39713 165 3 inventors inventor NNS 39713 165 4 of of IN 39713 165 5 the the DT 39713 165 6 perpetual perpetual JJ 39713 165 7 motion motion NN 39713 165 8 machines machine NNS 39713 165 9 still still RB 39713 165 10 stand stand VBP 39713 165 11 in in IN 39713 165 12 conflict conflict NN 39713 165 13 with with IN 39713 165 14 accepted accepted JJ 39713 165 15 generalizations generalization NNS 39713 165 16 ; ; : 39713 165 17 but but CC 39713 165 18 nobody nobody NN 39713 165 19 knows know VBZ 39713 165 20 as as IN 39713 165 21 yet yet RB 39713 165 22 what what WP 39713 165 23 the the DT 39713 165 24 final final JJ 39713 165 25 form form NN 39713 165 26 of of IN 39713 165 27 the the DT 39713 165 28 theory theory NN 39713 165 29 of of IN 39713 165 30 energy energy NN 39713 165 31 will will MD 39713 165 32 be be VB 39713 165 33 , , , 39713 165 34 nor nor CC 39713 165 35 can can MD 39713 165 36 any any DT 39713 165 37 one one NN 39713 165 38 say say VB 39713 165 39 precisely precisely RB 39713 165 40 what what WDT 39713 165 41 place place NN 39713 165 42 the the DT 39713 165 43 phenomena phenomenon NNS 39713 165 44 of of IN 39713 165 45 the the DT 39713 165 46 radioactive radioactive JJ 39713 165 47 bodies body NNS 39713 165 48 will will MD 39713 165 49 occupy occupy VB 39713 165 50 in in IN 39713 165 51 that that DT 39713 165 52 theory theory NN 39713 165 53 . . . 39713 166 1 The the DT 39713 166 2 alchemists alchemist NNS 39713 166 3 would would MD 39713 166 4 not not RB 39713 166 5 be be VB 39713 166 6 welcome welcome JJ 39713 166 7 workers worker NNS 39713 166 8 in in IN 39713 166 9 modern modern JJ 39713 166 10 laboratories laboratory NNS 39713 166 11 ; ; : 39713 166 12 yet yet CC 39713 166 13 some some DT 39713 166 14 sorts sort NNS 39713 166 15 of of IN 39713 166 16 transformation transformation NN 39713 166 17 and and CC 39713 166 18 of of IN 39713 166 19 evolution evolution NN 39713 166 20 of of IN 39713 166 21 the the DT 39713 166 22 elements element NNS 39713 166 23 are be VBP 39713 166 24 to to IN 39713 166 25 - - HYPH 39713 166 26 day day NN 39713 166 27 matters matter NNS 39713 166 28 which which WDT 39713 166 29 theory theory NN 39713 166 30 can can MD 39713 166 31 find find VB 39713 166 32 it -PRON- PRP 39713 166 33 convenient convenient JJ 39713 166 34 , , , 39713 166 35 upon upon IN 39713 166 36 occasion occasion NN 39713 166 37 , , , 39713 166 38 to to TO 39713 166 39 treat treat VB 39713 166 40 as as IN 39713 166 41 more more RBR 39713 166 42 or or CC 39713 166 43 less less RBR 39713 166 44 exactly exactly RB 39713 166 45 definable definable JJ 39713 166 46 possibilities possibility NNS 39713 166 47 ; ; : 39713 166 48 while while IN 39713 166 49 some some DT 39713 166 50 newly newly RB 39713 166 51 observed observe VBN 39713 166 52 phenomena phenomenon NNS 39713 166 53 tend tend VBP 39713 166 54 to to TO 39713 166 55 indicate indicate VB 39713 166 56 , , , 39713 166 57 not not RB 39713 166 58 indeed indeed RB 39713 166 59 that that IN 39713 166 60 the the DT 39713 166 61 ancient ancient JJ 39713 166 62 hopes hope NNS 39713 166 63 of of IN 39713 166 64 the the DT 39713 166 65 alchemists alchemist NNS 39713 166 66 were be VBD 39713 166 67 well well RB 39713 166 68 founded found VBN 39713 166 69 , , , 39713 166 70 but but CC 39713 166 71 that that IN 39713 166 72 the the DT 39713 166 73 ultimate ultimate JJ 39713 166 74 constitution constitution NN 39713 166 75 of of IN 39713 166 76 matter matter NN 39713 166 77 is be VBZ 39713 166 78 something something NN 39713 166 79 more more RBR 39713 166 80 fluent fluent JJ 39713 166 81 , , , 39713 166 82 less less RBR 39713 166 83 invariant invariant JJ 39713 166 84 , , , 39713 166 85 than than IN 39713 166 86 the the DT 39713 166 87 theoretical theoretical JJ 39713 166 88 orthodoxy orthodoxy NN 39713 166 89 of of IN 39713 166 90 a a DT 39713 166 91 recent recent JJ 39713 166 92 period period NN 39713 166 93 supposed suppose VBN 39713 166 94 . . . 39713 167 1 Again again RB 39713 167 2 , , , 39713 167 3 regarding regard VBG 39713 167 4 the the DT 39713 167 5 foundations foundation NNS 39713 167 6 of of IN 39713 167 7 biology biology NN 39713 167 8 , , , 39713 167 9 a a DT 39713 167 10 theoretical theoretical JJ 39713 167 11 orthodoxy orthodoxy NN 39713 167 12 grows grow VBZ 39713 167 13 less less RBR 39713 167 14 possible possible JJ 39713 167 15 , , , 39713 167 16 less less RBR 39713 167 17 definable definable JJ 39713 167 18 , , , 39713 167 19 less less RBR 39713 167 20 conceivable conceivable JJ 39713 167 21 ( ( -LRB- 39713 167 22 even even RB 39713 167 23 as as IN 39713 167 24 a a DT 39713 167 25 hope hope NN 39713 167 26 ) ) -RRB- 39713 167 27 the the DT 39713 167 28 more more JJR 39713 167 29 knowledge knowledge NN 39713 167 30 advances advance NNS 39713 167 31 . . . 39713 168 1 Once once IN 39713 168 2 ' ' `` 39713 168 3 mechanism mechanism NN 39713 168 4 ' ' '' 39713 168 5 and and CC 39713 168 6 ' ' `` 39713 168 7 vitalism vitalism NN 39713 168 8 ' ' '' 39713 168 9 were be VBD 39713 168 10 mutually mutually RB 39713 168 11 contradictory contradictory JJ 39713 168 12 theories theory NNS 39713 168 13 regarding regard VBG 39713 168 14 the the DT 39713 168 15 ultimate ultimate JJ 39713 168 16 constitution constitution NN 39713 168 17 of of IN 39713 168 18 living living NN 39713 168 19 bodies body NNS 39713 168 20 . . . 39713 169 1 Now now RB 39713 169 2 they -PRON- PRP 39713 169 3 are be VBP 39713 169 4 obviously obviously RB 39713 169 5 becoming become VBG 39713 169 6 more more RBR 39713 169 7 and and CC 39713 169 8 more more RBR 39713 169 9 ' ' '' 39713 169 10 points point NNS 39713 169 11 of of IN 39713 169 12 view view NN 39713 169 13 , , , 39713 169 14 ' ' '' 39713 169 15 diverse diverse JJ 39713 169 16 but but CC 39713 169 17 not not RB 39713 169 18 necessarily necessarily RB 39713 169 19 conflicting conflict VBG 39713 169 20 . . . 39713 170 1 So so RB 39713 170 2 far far RB 39713 170 3 as as IN 39713 170 4 you -PRON- PRP 39713 170 5 find find VBP 39713 170 6 it -PRON- PRP 39713 170 7 convenient convenient JJ 39713 170 8 to to TO 39713 170 9 limit limit VB 39713 170 10 your -PRON- PRP$ 39713 170 11 study study NN 39713 170 12 of of IN 39713 170 13 vital vital JJ 39713 170 14 processes process NNS 39713 170 15 to to IN 39713 170 16 those those DT 39713 170 17 phenomena phenomenon NNS 39713 170 18 which which WDT 39713 170 19 distinguish distinguish VBP 39713 170 20 living living NN 39713 170 21 matter matter NN 39713 170 22 from from IN 39713 170 23 all all DT 39713 170 24 other other JJ 39713 170 25 natural natural JJ 39713 170 26 objects object NNS 39713 170 27 , , , 39713 170 28 you -PRON- PRP 39713 170 29 may may MD 39713 170 30 assume assume VB 39713 170 31 , , , 39713 170 32 in in IN 39713 170 33 the the DT 39713 170 34 modern modern JJ 39713 170 35 ' ' `` 39713 170 36 pragmatic pragmatic JJ 39713 170 37 ' ' '' 39713 170 38 sense sense NN 39713 170 39 , , , 39713 170 40 the the DT 39713 170 41 attitude attitude NN 39713 170 42 of of IN 39713 170 43 a a DT 39713 170 44 ' ' `` 39713 170 45 neo neo NN 39713 170 46 - - HYPH 39713 170 47 vitalist vitalist NN 39713 170 48 . . . 39713 170 49 ' ' '' 39713 171 1 So so RB 39713 171 2 far far RB 39713 171 3 , , , 39713 171 4 however however RB 39713 171 5 , , , 39713 171 6 as as IN 39713 171 7 you -PRON- PRP 39713 171 8 are be VBP 39713 171 9 able able JJ 39713 171 10 to to TO 39713 171 11 lay lay VB 39713 171 12 stress stress NN 39713 171 13 , , , 39713 171 14 with with IN 39713 171 15 good good JJ 39713 171 16 results result NNS 39713 171 17 , , , 39713 171 18 upon upon IN 39713 171 19 the the DT 39713 171 20 many many JJ 39713 171 21 ways way NNS 39713 171 22 in in IN 39713 171 23 which which WDT 39713 171 24 the the DT 39713 171 25 life life NN 39713 171 26 processes process NNS 39713 171 27 can can MD 39713 171 28 be be VB 39713 171 29 assimilated assimilate VBN 39713 171 30 to to IN 39713 171 31 those those DT 39713 171 32 studied study VBN 39713 171 33 in in IN 39713 171 34 physics physics NN 39713 171 35 and and CC 39713 171 36 in in IN 39713 171 37 chemistry chemistry NN 39713 171 38 , , , 39713 171 39 you -PRON- PRP 39713 171 40 work work VBP 39713 171 41 as as IN 39713 171 42 if if IN 39713 171 43 you -PRON- PRP 39713 171 44 were be VBD 39713 171 45 a a DT 39713 171 46 partisan partisan NN 39713 171 47 of of IN 39713 171 48 ' ' `` 39713 171 49 mechanics mechanic NNS 39713 171 50 . . . 39713 171 51 ' ' '' 39713 172 1 In in IN 39713 172 2 any any DT 39713 172 3 case case NN 39713 172 4 , , , 39713 172 5 your -PRON- PRP$ 39713 172 6 special special JJ 39713 172 7 science science NN 39713 172 8 prospers prosper NNS 39713 172 9 by by IN 39713 172 10 reason reason NN 39713 172 11 of of IN 39713 172 12 the the DT 39713 172 13 empirical empirical JJ 39713 172 14 discoveries discovery NNS 39713 172 15 that that WDT 39713 172 16 you -PRON- PRP 39713 172 17 make make VBP 39713 172 18 . . . 39713 173 1 And and CC 39713 173 2 your -PRON- PRP$ 39713 173 3 theories theory NNS 39713 173 4 , , , 39713 173 5 whatever whatever WDT 39713 173 6 they -PRON- PRP 39713 173 7 are be VBP 39713 173 8 , , , 39713 173 9 must must MD 39713 173 10 not not RB 39713 173 11 run run VB 39713 173 12 counter counter RB 39713 173 13 to to IN 39713 173 14 any any DT 39713 173 15 positive positive JJ 39713 173 16 empirical empirical JJ 39713 173 17 results result NNS 39713 173 18 . . . 39713 174 1 But but CC 39713 174 2 otherwise otherwise RB 39713 174 3 , , , 39713 174 4 scientific scientific JJ 39713 174 5 orthodoxy orthodoxy NN 39713 174 6 no no RB 39713 174 7 longer long RBR 39713 174 8 predetermines predetermine NNS 39713 174 9 what what WP 39713 174 10 alone alone JJ 39713 174 11 it -PRON- PRP 39713 174 12 is be VBZ 39713 174 13 respectable respectable JJ 39713 174 14 for for IN 39713 174 15 you -PRON- PRP 39713 174 16 to to TO 39713 174 17 think think VB 39713 174 18 about about IN 39713 174 19 the the DT 39713 174 20 nature nature NN 39713 174 21 of of IN 39713 174 22 living living NN 39713 174 23 substance substance NN 39713 174 24 . . . 39713 175 1 This this DT 39713 175 2 gain gain NN 39713 175 3 in in IN 39713 175 4 the the DT 39713 175 5 freedom freedom NN 39713 175 6 of of IN 39713 175 7 theory theory NN 39713 175 8 , , , 39713 175 9 coming come VBG 39713 175 10 , , , 39713 175 11 as as IN 39713 175 12 it -PRON- PRP 39713 175 13 does do VBZ 39713 175 14 , , , 39713 175 15 side side VB 39713 175 16 by by IN 39713 175 17 side side NN 39713 175 18 with with IN 39713 175 19 a a DT 39713 175 20 constant constant JJ 39713 175 21 increase increase NN 39713 175 22 of of IN 39713 175 23 a a DT 39713 175 24 positive positive JJ 39713 175 25 knowledge knowledge NN 39713 175 26 of of IN 39713 175 27 nature nature NN 39713 175 28 , , , 39713 175 29 lends lend VBZ 39713 175 30 itself -PRON- PRP 39713 175 31 to to IN 39713 175 32 various various JJ 39713 175 33 interpretations interpretation NNS 39713 175 34 , , , 39713 175 35 and and CC 39713 175 36 raises raise VBZ 39713 175 37 various various JJ 39713 175 38 obvious obvious JJ 39713 175 39 questions question NNS 39713 175 40 . . . 39713 176 1 II II NNP 39713 176 2 One one CD 39713 176 3 of of IN 39713 176 4 the the DT 39713 176 5 most most RBS 39713 176 6 natural natural JJ 39713 176 7 of of IN 39713 176 8 these these DT 39713 176 9 interpretations interpretation NNS 39713 176 10 , , , 39713 176 11 one one CD 39713 176 12 of of IN 39713 176 13 the the DT 39713 176 14 most most RBS 39713 176 15 obvious obvious JJ 39713 176 16 of of IN 39713 176 17 these these DT 39713 176 18 questions question NNS 39713 176 19 , , , 39713 176 20 may may MD 39713 176 21 be be VB 39713 176 22 readily readily RB 39713 176 23 stated state VBN 39713 176 24 . . . 39713 177 1 Is be VBZ 39713 177 2 not not RB 39713 177 3 the the DT 39713 177 4 lesson lesson NN 39713 177 5 of of IN 39713 177 6 all all PDT 39713 177 7 these these DT 39713 177 8 recent recent JJ 39713 177 9 discussions discussion NNS 39713 177 10 simply simply RB 39713 177 11 this this DT 39713 177 12 , , , 39713 177 13 that that IN 39713 177 14 general general JJ 39713 177 15 theories theory NNS 39713 177 16 are be VBP 39713 177 17 simply simply RB 39713 177 18 vain vain JJ 39713 177 19 , , , 39713 177 20 that that IN 39713 177 21 a a DT 39713 177 22 philosophy philosophy NN 39713 177 23 of of IN 39713 177 24 nature nature NN 39713 177 25 is be VBZ 39713 177 26 an an DT 39713 177 27 idle idle JJ 39713 177 28 dream dream NN 39713 177 29 , , , 39713 177 30 and and CC 39713 177 31 that that IN 39713 177 32 the the DT 39713 177 33 results result NNS 39713 177 34 of of IN 39713 177 35 science science NN 39713 177 36 are be VBP 39713 177 37 coextensive coextensive JJ 39713 177 38 with with IN 39713 177 39 the the DT 39713 177 40 range range NN 39713 177 41 of of IN 39713 177 42 actual actual JJ 39713 177 43 empirical empirical JJ 39713 177 44 observation observation NN 39713 177 45 and and CC 39713 177 46 of of IN 39713 177 47 successful successful JJ 39713 177 48 prediction prediction NN 39713 177 49 ? ? . 39713 178 1 If if IN 39713 178 2 this this DT 39713 178 3 is be VBZ 39713 178 4 indeed indeed RB 39713 178 5 the the DT 39713 178 6 lesson lesson NN 39713 178 7 , , , 39713 178 8 then then RB 39713 178 9 the the DT 39713 178 10 decline decline NN 39713 178 11 of of IN 39713 178 12 theoretical theoretical JJ 39713 178 13 orthodoxy orthodoxy NN 39713 178 14 in in IN 39713 178 15 science science NN 39713 178 16 is be VBZ 39713 178 17 -- -- : 39713 178 18 like like IN 39713 178 19 the the DT 39713 178 20 eclipse eclipse NN 39713 178 21 of of IN 39713 178 22 dogma dogma NN 39713 178 23 in in IN 39713 178 24 religion religion NN 39713 178 25 -- -- : 39713 178 26 merely merely RB 39713 178 27 a a DT 39713 178 28 further further JJ 39713 178 29 lesson lesson NN 39713 178 30 in in IN 39713 178 31 pure pure JJ 39713 178 32 positivism positivism NN 39713 178 33 , , , 39713 178 34 another another DT 39713 178 35 proof proof NN 39713 178 36 that that DT 39713 178 37 man man NN 39713 178 38 does do VBZ 39713 178 39 best well RBS 39713 178 40 when when WRB 39713 178 41 he -PRON- PRP 39713 178 42 limits limit VBZ 39713 178 43 himself -PRON- PRP 39713 178 44 to to IN 39713 178 45 thinking think VBG 39713 178 46 about about IN 39713 178 47 what what WP 39713 178 48 can can MD 39713 178 49 be be VB 39713 178 50 found find VBN 39713 178 51 in in IN 39713 178 52 human human JJ 39713 178 53 experience experience NN 39713 178 54 , , , 39713 178 55 and and CC 39713 178 56 in in IN 39713 178 57 trying try VBG 39713 178 58 to to TO 39713 178 59 plan plan VB 39713 178 60 what what WP 39713 178 61 can can MD 39713 178 62 be be VB 39713 178 63 done do VBN 39713 178 64 to to TO 39713 178 65 make make VB 39713 178 66 human human JJ 39713 178 67 life life NN 39713 178 68 more more RBR 39713 178 69 controllable controllable JJ 39713 178 70 and and CC 39713 178 71 more more RBR 39713 178 72 reasonable reasonable JJ 39713 178 73 . . . 39713 179 1 What what WP 39713 179 2 we -PRON- PRP 39713 179 3 are be VBP 39713 179 4 free free JJ 39713 179 5 to to TO 39713 179 6 do do VB 39713 179 7 as as IN 39713 179 8 we -PRON- PRP 39713 179 9 please please VBP 39713 179 10 -- -- : 39713 179 11 is be VBZ 39713 179 12 it -PRON- PRP 39713 179 13 any any RB 39713 179 14 longer long RBR 39713 179 15 a a DT 39713 179 16 serious serious JJ 39713 179 17 business business NN 39713 179 18 ? ? . 39713 180 1 What what WP 39713 180 2 we -PRON- PRP 39713 180 3 are be VBP 39713 180 4 free free JJ 39713 180 5 to to TO 39713 180 6 think think VB 39713 180 7 as as IN 39713 180 8 we -PRON- PRP 39713 180 9 please please VBP 39713 180 10 -- -- : 39713 180 11 is be VBZ 39713 180 12 it -PRON- PRP 39713 180 13 of of IN 39713 180 14 any any DT 39713 180 15 further further JJ 39713 180 16 interest interest NN 39713 180 17 to to IN 39713 180 18 one one CD 39713 180 19 who who WP 39713 180 20 is be VBZ 39713 180 21 in in IN 39713 180 22 search search NN 39713 180 23 of of IN 39713 180 24 truth truth NN 39713 180 25 ? ? . 39713 181 1 If if IN 39713 181 2 certain certain JJ 39713 181 3 general general JJ 39713 181 4 theories theory NNS 39713 181 5 are be VBP 39713 181 6 mere mere JJ 39713 181 7 conceptual conceptual JJ 39713 181 8 constructions construction NNS 39713 181 9 , , , 39713 181 10 which which WDT 39713 181 11 to to IN 39713 181 12 - - HYPH 39713 181 13 day day NN 39713 181 14 are be VBP 39713 181 15 , , , 39713 181 16 and and CC 39713 181 17 to to IN 39713 181 18 - - HYPH 39713 181 19 morrow morrow NNP 39713 181 20 are be VBP 39713 181 21 cast cast VBN 39713 181 22 into into IN 39713 181 23 the the DT 39713 181 24 oven oven JJ 39713 181 25 , , , 39713 181 26 why why WRB 39713 181 27 dignify dignify VB 39713 181 28 them -PRON- PRP 39713 181 29 by by IN 39713 181 30 the the DT 39713 181 31 name name NN 39713 181 32 of of IN 39713 181 33 philosophy philosophy NN 39713 181 34 ? ? . 39713 182 1 Has have VBZ 39713 182 2 science science NN 39713 182 3 any any DT 39713 182 4 place place NN 39713 182 5 for for IN 39713 182 6 such such JJ 39713 182 7 theories theory NNS 39713 182 8 ? ? . 39713 183 1 Why why WRB 39713 183 2 be be VB 39713 183 3 a a DT 39713 183 4 ' ' `` 39713 183 5 neo neo NN 39713 183 6 - - HYPH 39713 183 7 vitalist vitalist NN 39713 183 8 , , , 39713 183 9 ' ' '' 39713 183 10 or or CC 39713 183 11 an an DT 39713 183 12 ' ' `` 39713 183 13 evolutionist evolutionist NN 39713 183 14 , , , 39713 183 15 ' ' '' 39713 183 16 or or CC 39713 183 17 an an DT 39713 183 18 ' ' `` 39713 183 19 atomist atomist NN 39713 183 20 , , , 39713 183 21 ' ' '' 39713 183 22 or or CC 39713 183 23 an an DT 39713 183 24 ' ' `` 39713 183 25 Energetiker energetiker NN 39713 183 26 ' ' '' 39713 183 27 ? ? . 39713 184 1 Why why WRB 39713 184 2 not not RB 39713 184 3 say say VB 39713 184 4 , , , 39713 184 5 plainly plainly RB 39713 184 6 : : : 39713 184 7 " " `` 39713 184 8 Such such JJ 39713 184 9 and and CC 39713 184 10 such such JJ 39713 184 11 phenomena phenomenon NNS 39713 184 12 , , , 39713 184 13 thus thus RB 39713 184 14 and and CC 39713 184 15 thus thus RB 39713 184 16 described describe VBN 39713 184 17 , , , 39713 184 18 have have VBP 39713 184 19 been be VBN 39713 184 20 observed observe VBN 39713 184 21 ; ; : 39713 184 22 such such JJ 39713 184 23 and and CC 39713 184 24 such such JJ 39713 184 25 experiences experience NNS 39713 184 26 are be VBP 39713 184 27 to to TO 39713 184 28 be be VB 39713 184 29 expected expect VBN 39713 184 30 , , , 39713 184 31 since since IN 39713 184 32 the the DT 39713 184 33 hypotheses hypothesis NNS 39713 184 34 by by IN 39713 184 35 the the DT 39713 184 36 terms term NNS 39713 184 37 of of IN 39713 184 38 which which WDT 39713 184 39 we -PRON- PRP 39713 184 40 are be VBP 39713 184 41 required require VBN 39713 184 42 to to TO 39713 184 43 expect expect VB 39713 184 44 them -PRON- PRP 39713 184 45 have have VBP 39713 184 46 been be VBN 39713 184 47 verified verify VBN 39713 184 48 too too RB 39713 184 49 often often RB 39713 184 50 to to TO 39713 184 51 let let VB 39713 184 52 us -PRON- PRP 39713 184 53 regard regard VB 39713 184 54 the the DT 39713 184 55 agreement agreement NN 39713 184 56 with with IN 39713 184 57 experience experience NN 39713 184 58 as as IN 39713 184 59 due due JJ 39713 184 60 merely merely RB 39713 184 61 to to TO 39713 184 62 chance chance VB 39713 184 63 ; ; : 39713 184 64 so so RB 39713 184 65 much much RB 39713 184 66 then then RB 39713 184 67 with with IN 39713 184 68 reasonable reasonable JJ 39713 184 69 assurance assurance NN 39713 184 70 we -PRON- PRP 39713 184 71 know know VBP 39713 184 72 ; ; : 39713 184 73 all all DT 39713 184 74 else else RB 39713 184 75 is be VBZ 39713 184 76 silence silence NN 39713 184 77 -- -- : 39713 184 78 or or CC 39713 184 79 else else RB 39713 184 80 is be VBZ 39713 184 81 some some DT 39713 184 82 matter matter NN 39713 184 83 to to TO 39713 184 84 be be VB 39713 184 85 tested test VBN 39713 184 86 by by IN 39713 184 87 another another DT 39713 184 88 experiment experiment NN 39713 184 89 ? ? . 39713 184 90 " " '' 39713 185 1 Why why WRB 39713 185 2 not not RB 39713 185 3 limit limit VB 39713 185 4 our -PRON- PRP$ 39713 185 5 philosophy philosophy NN 39713 185 6 of of IN 39713 185 7 science science NN 39713 185 8 strictly strictly RB 39713 185 9 to to IN 39713 185 10 such such PDT 39713 185 11 a a DT 39713 185 12 counsel counsel NN 39713 185 13 of of IN 39713 185 14 resignation resignation NN 39713 185 15 ? ? . 39713 186 1 Why why WRB 39713 186 2 not not RB 39713 186 3 substitute substitute VB 39713 186 4 , , , 39713 186 5 for for IN 39713 186 6 the the DT 39713 186 7 old old JJ 39713 186 8 scientific scientific JJ 39713 186 9 orthodoxy orthodoxy NN 39713 186 10 , , , 39713 186 11 simply simply RB 39713 186 12 a a DT 39713 186 13 confession confession NN 39713 186 14 of of IN 39713 186 15 ignorance ignorance NN 39713 186 16 , , , 39713 186 17 and and CC 39713 186 18 a a DT 39713 186 19 resolution resolution NN 39713 186 20 to to TO 39713 186 21 devote devote VB 39713 186 22 ourselves -PRON- PRP 39713 186 23 to to IN 39713 186 24 the the DT 39713 186 25 business business NN 39713 186 26 of of IN 39713 186 27 enlarging enlarge VBG 39713 186 28 the the DT 39713 186 29 bounds bound NNS 39713 186 30 of of IN 39713 186 31 actual actual JJ 39713 186 32 empirical empirical JJ 39713 186 33 knowledge knowledge NN 39713 186 34 ? ? . 39713 187 1 Such such JJ 39713 187 2 comments comment NNS 39713 187 3 upon upon IN 39713 187 4 the the DT 39713 187 5 situation situation NN 39713 187 6 just just RB 39713 187 7 characterized characterize VBN 39713 187 8 are be VBP 39713 187 9 frequently frequently RB 39713 187 10 made make VBN 39713 187 11 . . . 39713 188 1 Unfortunately unfortunately RB 39713 188 2 , , , 39713 188 3 they -PRON- PRP 39713 188 4 seem seem VBP 39713 188 5 not not RB 39713 188 6 to to TO 39713 188 7 content content VB 39713 188 8 the the DT 39713 188 9 very very JJ 39713 188 10 age age NN 39713 188 11 whose whose WP$ 39713 188 12 revolt revolt NN 39713 188 13 from from IN 39713 188 14 the the DT 39713 188 15 orthodoxy orthodoxy NN 39713 188 16 of of IN 39713 188 17 traditional traditional JJ 39713 188 18 theory theory NN 39713 188 19 , , , 39713 188 20 whose whose WP$ 39713 188 21 uncertainty uncertainty NN 39713 188 22 about about IN 39713 188 23 all all DT 39713 188 24 theoretical theoretical JJ 39713 188 25 formulations formulation NNS 39713 188 26 , , , 39713 188 27 and and CC 39713 188 28 whose whose WP$ 39713 188 29 vast vast JJ 39713 188 30 wealth wealth NN 39713 188 31 of of IN 39713 188 32 empirical empirical JJ 39713 188 33 discoveries discovery NNS 39713 188 34 and and CC 39713 188 35 of of IN 39713 188 36 rapidly rapidly RB 39713 188 37 advancing advance VBG 39713 188 38 special special JJ 39713 188 39 researches research NNS 39713 188 40 , , , 39713 188 41 would would MD 39713 188 42 seem seem VB 39713 188 43 most most RBS 39713 188 44 to to TO 39713 188 45 justify justify VB 39713 188 46 these these DT 39713 188 47 very very JJ 39713 188 48 comments comment NNS 39713 188 49 . . . 39713 189 1 Never never RB 39713 189 2 has have VBZ 39713 189 3 there there EX 39713 189 4 been be VBN 39713 189 5 better well JJR 39713 189 6 reason reason NN 39713 189 7 than than IN 39713 189 8 there there EX 39713 189 9 is be VBZ 39713 189 10 to to NN 39713 189 11 - - HYPH 39713 189 12 day day NN 39713 189 13 to to TO 39713 189 14 be be VB 39713 189 15 content content JJ 39713 189 16 , , , 39713 189 17 if if IN 39713 189 18 rational rational JJ 39713 189 19 man man NN 39713 189 20 could could MD 39713 189 21 be be VB 39713 189 22 content content JJ 39713 189 23 , , , 39713 189 24 with with IN 39713 189 25 a a DT 39713 189 26 pure pure JJ 39713 189 27 positivism positivism NN 39713 189 28 . . . 39713 190 1 The the DT 39713 190 2 splendid splendid JJ 39713 190 3 triumphs triumph NNS 39713 190 4 of of IN 39713 190 5 special special JJ 39713 190 6 research research NN 39713 190 7 in in IN 39713 190 8 the the DT 39713 190 9 most most RBS 39713 190 10 various various JJ 39713 190 11 fields field NNS 39713 190 12 , , , 39713 190 13 the the DT 39713 190 14 constant constant JJ 39713 190 15 increase increase NN 39713 190 16 in in IN 39713 190 17 our -PRON- PRP$ 39713 190 18 practical practical JJ 39713 190 19 control control NN 39713 190 20 over over IN 39713 190 21 nature nature NN 39713 190 22 -- -- : 39713 190 23 these these DT 39713 190 24 , , , 39713 190 25 our -PRON- PRP$ 39713 190 26 positive positive JJ 39713 190 27 and and CC 39713 190 28 growing grow VBG 39713 190 29 possessions possession NNS 39713 190 30 , , , 39713 190 31 stand stand VB 39713 190 32 in in IN 39713 190 33 glaring glare VBG 39713 190 34 contrast contrast NN 39713 190 35 to to IN 39713 190 36 the the DT 39713 190 37 failure failure NN 39713 190 38 of of IN 39713 190 39 the the DT 39713 190 40 scientific scientific JJ 39713 190 41 orthodoxy orthodoxy NN 39713 190 42 of of IN 39713 190 43 a a DT 39713 190 44 former former JJ 39713 190 45 period period NN 39713 190 46 to to TO 39713 190 47 fix fix VB 39713 190 48 the the DT 39713 190 49 outlines outline NNS 39713 190 50 of of IN 39713 190 51 an an DT 39713 190 52 ultimate ultimate JJ 39713 190 53 creed creed NN 39713 190 54 about about IN 39713 190 55 the the DT 39713 190 56 nature nature NN 39713 190 57 of of IN 39713 190 58 the the DT 39713 190 59 knowable knowable JJ 39713 190 60 universe universe NN 39713 190 61 . . . 39713 191 1 Why why WRB 39713 191 2 not not RB 39713 191 3 ' ' '' 39713 191 4 take take VB 39713 191 5 the the DT 39713 191 6 cash cash NN 39713 191 7 and and CC 39713 191 8 let let VB 39713 191 9 the the DT 39713 191 10 credit credit NN 39713 191 11 go go VB 39713 191 12 ' ' '' 39713 191 13 ? ? . 39713 192 1 Why why WRB 39713 192 2 pursue pursue VB 39713 192 3 the the DT 39713 192 4 elusive elusive JJ 39713 192 5 theoretical theoretical JJ 39713 192 6 ' ' `` 39713 192 7 unification unification NN 39713 192 8 ' ' '' 39713 192 9 any any DT 39713 192 10 further further RB 39713 192 11 , , , 39713 192 12 when when WRB 39713 192 13 what what WP 39713 192 14 we -PRON- PRP 39713 192 15 daily daily RB 39713 192 16 get get VBP 39713 192 17 from from IN 39713 192 18 our -PRON- PRP$ 39713 192 19 sciences science NNS 39713 192 20 is be VBZ 39713 192 21 an an DT 39713 192 22 increasing increase VBG 39713 192 23 wealth wealth NN 39713 192 24 of of IN 39713 192 25 detailed detailed JJ 39713 192 26 information information NN 39713 192 27 and and CC 39713 192 28 of of IN 39713 192 29 practical practical JJ 39713 192 30 guidance guidance NN 39713 192 31 ? ? . 39713 193 1 As as IN 39713 193 2 a a DT 39713 193 3 fact fact NN 39713 193 4 , , , 39713 193 5 however however RB 39713 193 6 , , , 39713 193 7 the the DT 39713 193 8 known know VBN 39713 193 9 answer answer NN 39713 193 10 of of IN 39713 193 11 our -PRON- PRP$ 39713 193 12 own own JJ 39713 193 13 age age NN 39713 193 14 to to IN 39713 193 15 these these DT 39713 193 16 very very RB 39713 193 17 obvious obvious JJ 39713 193 18 comments comment NNS 39713 193 19 is be VBZ 39713 193 20 a a DT 39713 193 21 constant constant JJ 39713 193 22 multiplication multiplication NN 39713 193 23 of of IN 39713 193 24 new new JJ 39713 193 25 efforts effort NNS 39713 193 26 towards towards IN 39713 193 27 large large JJ 39713 193 28 and and CC 39713 193 29 unifying unifying JJ 39713 193 30 theories theory NNS 39713 193 31 . . . 39713 194 1 If if IN 39713 194 2 theoretical theoretical JJ 39713 194 3 orthodoxy orthodoxy NN 39713 194 4 is be VBZ 39713 194 5 no no DT 39713 194 6 longer long RBR 39713 194 7 clearly clearly RB 39713 194 8 definable definable JJ 39713 194 9 , , , 39713 194 10 theoretical theoretical JJ 39713 194 11 construction construction NN 39713 194 12 was be VBD 39713 194 13 never never RB 39713 194 14 more more RBR 39713 194 15 rife rife JJ 39713 194 16 . . . 39713 195 1 The the DT 39713 195 2 history history NN 39713 195 3 of of IN 39713 195 4 the the DT 39713 195 5 doctrine doctrine NN 39713 195 6 of of IN 39713 195 7 evolution evolution NN 39713 195 8 , , , 39713 195 9 even even RB 39713 195 10 in in IN 39713 195 11 its -PRON- PRP$ 39713 195 12 most most RBS 39713 195 13 recent recent JJ 39713 195 14 phases phase NNS 39713 195 15 , , , 39713 195 16 when when WRB 39713 195 17 the the DT 39713 195 18 theoretical theoretical JJ 39713 195 19 uncertainties uncertainty NNS 39713 195 20 regarding regard VBG 39713 195 21 the the DT 39713 195 22 ' ' `` 39713 195 23 factors factor NNS 39713 195 24 of of IN 39713 195 25 evolution evolution NN 39713 195 26 ' ' '' 39713 195 27 are be VBP 39713 195 28 most most RBS 39713 195 29 insisted insist VBN 39713 195 30 upon upon IN 39713 195 31 , , , 39713 195 32 is be VBZ 39713 195 33 full full JJ 39713 195 34 of of IN 39713 195 35 illustrations illustration NNS 39713 195 36 of of IN 39713 195 37 this this DT 39713 195 38 remarkable remarkable JJ 39713 195 39 union union NN 39713 195 40 of of IN 39713 195 41 scepticism scepticism NN 39713 195 42 in in IN 39713 195 43 critical critical JJ 39713 195 44 work work NN 39713 195 45 with with IN 39713 195 46 courage courage NN 39713 195 47 regarding regard VBG 39713 195 48 the the DT 39713 195 49 use use NN 39713 195 50 of of IN 39713 195 51 the the DT 39713 195 52 scientific scientific JJ 39713 195 53 imagination imagination NN 39713 195 54 . . . 39713 196 1 The the DT 39713 196 2 history history NN 39713 196 3 of of IN 39713 196 4 those those DT 39713 196 5 controversies controversy NNS 39713 196 6 regarding regard VBG 39713 196 7 theoretical theoretical JJ 39713 196 8 physics physic NNS 39713 196 9 , , , 39713 196 10 some some DT 39713 196 11 of of IN 39713 196 12 whose whose WP$ 39713 196 13 principal principal JJ 39713 196 14 phases phase NNS 39713 196 15 M. M. NNP 39713 196 16 Poincaré Poincaré NNP 39713 196 17 , , , 39713 196 18 in in IN 39713 196 19 his -PRON- PRP$ 39713 196 20 book book NN 39713 196 21 , , , 39713 196 22 sketches sketch VBZ 39713 196 23 with with IN 39713 196 24 the the DT 39713 196 25 hand hand NN 39713 196 26 of of IN 39713 196 27 the the DT 39713 196 28 master master NN 39713 196 29 , , , 39713 196 30 is be VBZ 39713 196 31 another another DT 39713 196 32 illustration illustration NN 39713 196 33 of of IN 39713 196 34 the the DT 39713 196 35 consciousness consciousness NN 39713 196 36 of of IN 39713 196 37 the the DT 39713 196 38 time time NN 39713 196 39 . . . 39713 197 1 Men man NNS 39713 197 2 have have VBP 39713 197 3 their -PRON- PRP$ 39713 197 4 freedom freedom NN 39713 197 5 of of IN 39713 197 6 thought thought NN 39713 197 7 in in IN 39713 197 8 these these DT 39713 197 9 regions region NNS 39713 197 10 ; ; : 39713 197 11 and and CC 39713 197 12 they -PRON- PRP 39713 197 13 feel feel VBP 39713 197 14 the the DT 39713 197 15 need need NN 39713 197 16 of of IN 39713 197 17 making make VBG 39713 197 18 constant constant JJ 39713 197 19 and and CC 39713 197 20 constructive constructive JJ 39713 197 21 use use NN 39713 197 22 of of IN 39713 197 23 this this DT 39713 197 24 freedom freedom NN 39713 197 25 . . . 39713 198 1 And and CC 39713 198 2 the the DT 39713 198 3 men man NNS 39713 198 4 who who WP 39713 198 5 most most RBS 39713 198 6 feel feel VBP 39713 198 7 this this DT 39713 198 8 need need NN 39713 198 9 are be VBP 39713 198 10 by by IN 39713 198 11 no no DT 39713 198 12 means mean NNS 39713 198 13 in in IN 39713 198 14 the the DT 39713 198 15 majority majority NN 39713 198 16 of of IN 39713 198 17 cases case NNS 39713 198 18 professional professional JJ 39713 198 19 metaphysicians metaphysician NNS 39713 198 20 -- -- : 39713 198 21 or or CC 39713 198 22 students student NNS 39713 198 23 who who WP 39713 198 24 , , , 39713 198 25 like like IN 39713 198 26 myself -PRON- PRP 39713 198 27 , , , 39713 198 28 have have VBP 39713 198 29 to to TO 39713 198 30 view view VB 39713 198 31 all all PDT 39713 198 32 these these DT 39713 198 33 controversies controversy NNS 39713 198 34 amongst amongst IN 39713 198 35 the the DT 39713 198 36 scientific scientific JJ 39713 198 37 theoreticians theoretician NNS 39713 198 38 from from IN 39713 198 39 without without IN 39713 198 40 as as IN 39713 198 41 learners learner NNS 39713 198 42 . . . 39713 199 1 These these DT 39713 199 2 large large JJ 39713 199 3 theoretical theoretical JJ 39713 199 4 constructions construction NNS 39713 199 5 are be VBP 39713 199 6 due due JJ 39713 199 7 , , , 39713 199 8 on on IN 39713 199 9 the the DT 39713 199 10 contrary contrary NN 39713 199 11 , , , 39713 199 12 in in IN 39713 199 13 a a DT 39713 199 14 great great JJ 39713 199 15 many many JJ 39713 199 16 cases case NNS 39713 199 17 to to IN 39713 199 18 special special JJ 39713 199 19 workers worker NNS 39713 199 20 , , , 39713 199 21 who who WP 39713 199 22 have have VBP 39713 199 23 been be VBN 39713 199 24 driven drive VBN 39713 199 25 to to IN 39713 199 26 the the DT 39713 199 27 freedom freedom NN 39713 199 28 of of IN 39713 199 29 philosophy philosophy NN 39713 199 30 by by IN 39713 199 31 the the DT 39713 199 32 oppression oppression NN 39713 199 33 of of IN 39713 199 34 experience experience NN 39713 199 35 , , , 39713 199 36 and and CC 39713 199 37 who who WP 39713 199 38 have have VBP 39713 199 39 learned learn VBN 39713 199 40 in in IN 39713 199 41 the the DT 39713 199 42 conflict conflict NN 39713 199 43 with with IN 39713 199 44 special special JJ 39713 199 45 problems problem NNS 39713 199 46 the the DT 39713 199 47 lesson lesson NN 39713 199 48 that that WDT 39713 199 49 they -PRON- PRP 39713 199 50 now now RB 39713 199 51 teach teach VBP 39713 199 52 in in IN 39713 199 53 the the DT 39713 199 54 form form NN 39713 199 55 of of IN 39713 199 56 general general JJ 39713 199 57 ideas idea NNS 39713 199 58 regarding regard VBG 39713 199 59 the the DT 39713 199 60 philosophical philosophical JJ 39713 199 61 aspects aspect NNS 39713 199 62 of of IN 39713 199 63 science science NN 39713 199 64 . . . 39713 200 1 Why why WRB 39713 200 2 , , , 39713 200 3 then then RB 39713 200 4 , , , 39713 200 5 does do VBZ 39713 200 6 science science NN 39713 200 7 actually actually RB 39713 200 8 need need VB 39713 200 9 general general JJ 39713 200 10 theories theory NNS 39713 200 11 , , , 39713 200 12 despite despite IN 39713 200 13 the the DT 39713 200 14 fact fact NN 39713 200 15 that that IN 39713 200 16 these these DT 39713 200 17 theories theory NNS 39713 200 18 inevitably inevitably RB 39713 200 19 alter alter VBP 39713 200 20 and and CC 39713 200 21 pass pass VB 39713 200 22 away away RB 39713 200 23 ? ? . 39713 201 1 What what WP 39713 201 2 is be VBZ 39713 201 3 the the DT 39713 201 4 service service NN 39713 201 5 of of IN 39713 201 6 a a DT 39713 201 7 philosophy philosophy NN 39713 201 8 of of IN 39713 201 9 science science NN 39713 201 10 , , , 39713 201 11 when when WRB 39713 201 12 it -PRON- PRP 39713 201 13 is be VBZ 39713 201 14 certain certain JJ 39713 201 15 that that IN 39713 201 16 the the DT 39713 201 17 philosophy philosophy NN 39713 201 18 of of IN 39713 201 19 science science NN 39713 201 20 which which WDT 39713 201 21 is be VBZ 39713 201 22 best well RBS 39713 201 23 suited suited JJ 39713 201 24 to to IN 39713 201 25 the the DT 39713 201 26 needs need NNS 39713 201 27 of of IN 39713 201 28 one one CD 39713 201 29 generation generation NN 39713 201 30 must must MD 39713 201 31 be be VB 39713 201 32 superseded supersede VBN 39713 201 33 by by IN 39713 201 34 the the DT 39713 201 35 advancing advance VBG 39713 201 36 insight insight NN 39713 201 37 of of IN 39713 201 38 the the DT 39713 201 39 next next JJ 39713 201 40 generation generation NN 39713 201 41 ? ? . 39713 202 1 Why why WRB 39713 202 2 must must MD 39713 202 3 that that DT 39713 202 4 which which WDT 39713 202 5 endlessly endlessly RB 39713 202 6 grows grow VBZ 39713 202 7 , , , 39713 202 8 namely namely RB 39713 202 9 , , , 39713 202 10 man man NN 39713 202 11 's 's POS 39713 202 12 knowledge knowledge NN 39713 202 13 of of IN 39713 202 14 the the DT 39713 202 15 phenomenal phenomenal JJ 39713 202 16 order order NN 39713 202 17 of of IN 39713 202 18 nature nature NN 39713 202 19 , , , 39713 202 20 be be VB 39713 202 21 constantly constantly RB 39713 202 22 united united JJ 39713 202 23 in in IN 39713 202 24 men man NNS 39713 202 25 's 's POS 39713 202 26 minds mind NNS 39713 202 27 with with IN 39713 202 28 that that DT 39713 202 29 which which WDT 39713 202 30 is be VBZ 39713 202 31 certain certain JJ 39713 202 32 to to TO 39713 202 33 decay decay VB 39713 202 34 , , , 39713 202 35 namely namely RB 39713 202 36 , , , 39713 202 37 the the DT 39713 202 38 theoretical theoretical JJ 39713 202 39 formulation formulation NN 39713 202 40 of of IN 39713 202 41 special special JJ 39713 202 42 knowledge knowledge NN 39713 202 43 in in IN 39713 202 44 more more RBR 39713 202 45 or or CC 39713 202 46 less less RBR 39713 202 47 completely completely RB 39713 202 48 unified unify VBN 39713 202 49 systems system NNS 39713 202 50 of of IN 39713 202 51 doctrine doctrine NN 39713 202 52 ? ? . 39713 203 1 I -PRON- PRP 39713 203 2 understand understand VBP 39713 203 3 our -PRON- PRP$ 39713 203 4 author author NN 39713 203 5 's 's POS 39713 203 6 volume volume NN 39713 203 7 to to TO 39713 203 8 be be VB 39713 203 9 in in IN 39713 203 10 the the DT 39713 203 11 main main JJ 39713 203 12 an an DT 39713 203 13 answer answer NN 39713 203 14 to to IN 39713 203 15 this this DT 39713 203 16 question question NN 39713 203 17 . . . 39713 204 1 To to TO 39713 204 2 be be VB 39713 204 3 sure sure JJ 39713 204 4 , , , 39713 204 5 the the DT 39713 204 6 compact compact JJ 39713 204 7 and and CC 39713 204 8 manifold manifold JJ 39713 204 9 teachings teaching NNS 39713 204 10 which which WDT 39713 204 11 this this DT 39713 204 12 text text NN 39713 204 13 contains contain VBZ 39713 204 14 relate relate VBP 39713 204 15 to to IN 39713 204 16 a a DT 39713 204 17 great great JJ 39713 204 18 many many JJ 39713 204 19 different different JJ 39713 204 20 special special JJ 39713 204 21 issues issue NNS 39713 204 22 . . . 39713 205 1 A a DT 39713 205 2 student student NN 39713 205 3 interested interested JJ 39713 205 4 in in IN 39713 205 5 the the DT 39713 205 6 problems problem NNS 39713 205 7 of of IN 39713 205 8 the the DT 39713 205 9 philosophy philosophy NN 39713 205 10 of of IN 39713 205 11 mathematics mathematic NNS 39713 205 12 , , , 39713 205 13 or or CC 39713 205 14 in in IN 39713 205 15 the the DT 39713 205 16 theory theory NN 39713 205 17 of of IN 39713 205 18 probabilities probability NNS 39713 205 19 , , , 39713 205 20 or or CC 39713 205 21 in in IN 39713 205 22 the the DT 39713 205 23 nature nature NN 39713 205 24 and and CC 39713 205 25 office office NN 39713 205 26 of of IN 39713 205 27 mathematical mathematical JJ 39713 205 28 physics physics NN 39713 205 29 , , , 39713 205 30 or or CC 39713 205 31 in in IN 39713 205 32 still still RB 39713 205 33 other other JJ 39713 205 34 problems problem NNS 39713 205 35 belonging belong VBG 39713 205 36 to to IN 39713 205 37 the the DT 39713 205 38 wide wide JJ 39713 205 39 field field NN 39713 205 40 here here RB 39713 205 41 discussed discuss VBN 39713 205 42 , , , 39713 205 43 may may MD 39713 205 44 find find VB 39713 205 45 what what WP 39713 205 46 he -PRON- PRP 39713 205 47 wants want VBZ 39713 205 48 here here RB 39713 205 49 and and CC 39713 205 50 there there RB 39713 205 51 in in IN 39713 205 52 the the DT 39713 205 53 text text NN 39713 205 54 , , , 39713 205 55 even even RB 39713 205 56 in in IN 39713 205 57 case case NN 39713 205 58 the the DT 39713 205 59 general general JJ 39713 205 60 issues issue NNS 39713 205 61 which which WDT 39713 205 62 give give VBP 39713 205 63 the the DT 39713 205 64 volume volume NN 39713 205 65 its -PRON- PRP$ 39713 205 66 unity unity NN 39713 205 67 mean mean VB 39713 205 68 little little JJ 39713 205 69 to to IN 39713 205 70 him -PRON- PRP 39713 205 71 , , , 39713 205 72 or or CC 39713 205 73 even even RB 39713 205 74 if if IN 39713 205 75 he -PRON- PRP 39713 205 76 differs differ VBZ 39713 205 77 from from IN 39713 205 78 the the DT 39713 205 79 author author NN 39713 205 80 's 's POS 39713 205 81 views view NNS 39713 205 82 regarding regard VBG 39713 205 83 the the DT 39713 205 84 principal principal JJ 39713 205 85 issues issue NNS 39713 205 86 of of IN 39713 205 87 the the DT 39713 205 88 book book NN 39713 205 89 . . . 39713 206 1 But but CC 39713 206 2 in in IN 39713 206 3 the the DT 39713 206 4 main main JJ 39713 206 5 , , , 39713 206 6 this this DT 39713 206 7 volume volume NN 39713 206 8 must must MD 39713 206 9 be be VB 39713 206 10 regarded regard VBN 39713 206 11 as as IN 39713 206 12 what what WP 39713 206 13 its -PRON- PRP$ 39713 206 14 title title NN 39713 206 15 indicates indicate VBZ 39713 206 16 -- -- : 39713 206 17 a a DT 39713 206 18 critique critique NN 39713 206 19 of of IN 39713 206 20 the the DT 39713 206 21 nature nature NN 39713 206 22 and and CC 39713 206 23 place place NN 39713 206 24 of of IN 39713 206 25 hypothesis hypothesis NN 39713 206 26 in in IN 39713 206 27 the the DT 39713 206 28 work work NN 39713 206 29 of of IN 39713 206 30 science science NN 39713 206 31 and and CC 39713 206 32 a a DT 39713 206 33 study study NN 39713 206 34 of of IN 39713 206 35 the the DT 39713 206 36 logical logical JJ 39713 206 37 relations relation NNS 39713 206 38 of of IN 39713 206 39 theory theory NN 39713 206 40 and and CC 39713 206 41 fact fact NN 39713 206 42 . . . 39713 207 1 The the DT 39713 207 2 result result NN 39713 207 3 of of IN 39713 207 4 the the DT 39713 207 5 book book NN 39713 207 6 is be VBZ 39713 207 7 a a DT 39713 207 8 substantial substantial JJ 39713 207 9 justification justification NN 39713 207 10 of of IN 39713 207 11 the the DT 39713 207 12 scientific scientific JJ 39713 207 13 utility utility NN 39713 207 14 of of IN 39713 207 15 theoretical theoretical JJ 39713 207 16 construction construction NN 39713 207 17 -- -- : 39713 207 18 an an DT 39713 207 19 abandonment abandonment NN 39713 207 20 of of IN 39713 207 21 dogma dogma NN 39713 207 22 , , , 39713 207 23 but but CC 39713 207 24 a a DT 39713 207 25 vindication vindication NN 39713 207 26 of of IN 39713 207 27 the the DT 39713 207 28 rights right NNS 39713 207 29 of of IN 39713 207 30 the the DT 39713 207 31 constructive constructive JJ 39713 207 32 reason reason NN 39713 207 33 . . . 39713 208 1 III III NNP 39713 208 2 The the DT 39713 208 3 most most RBS 39713 208 4 notable notable JJ 39713 208 5 of of IN 39713 208 6 the the DT 39713 208 7 results result NNS 39713 208 8 of of IN 39713 208 9 our -PRON- PRP$ 39713 208 10 author author NN 39713 208 11 's 's POS 39713 208 12 investigation investigation NN 39713 208 13 of of IN 39713 208 14 the the DT 39713 208 15 logic logic NN 39713 208 16 of of IN 39713 208 17 scientific scientific JJ 39713 208 18 theories theory NNS 39713 208 19 relates relate VBZ 39713 208 20 , , , 39713 208 21 as as IN 39713 208 22 I -PRON- PRP 39713 208 23 understand understand VBP 39713 208 24 his -PRON- PRP$ 39713 208 25 work work NN 39713 208 26 , , , 39713 208 27 to to IN 39713 208 28 a a DT 39713 208 29 topic topic NN 39713 208 30 which which WDT 39713 208 31 the the DT 39713 208 32 present present JJ 39713 208 33 state state NN 39713 208 34 of of IN 39713 208 35 logical logical JJ 39713 208 36 investigation investigation NN 39713 208 37 , , , 39713 208 38 just just RB 39713 208 39 summarized summarize VBN 39713 208 40 , , , 39713 208 41 makes make VBZ 39713 208 42 especially especially RB 39713 208 43 important important JJ 39713 208 44 , , , 39713 208 45 but but CC 39713 208 46 which which WDT 39713 208 47 has have VBZ 39713 208 48 thus thus RB 39713 208 49 far far RB 39713 208 50 been be VBN 39713 208 51 very very RB 39713 208 52 inadequately inadequately RB 39713 208 53 treated treat VBN 39713 208 54 in in IN 39713 208 55 the the DT 39713 208 56 text text NN 39713 208 57 - - HYPH 39713 208 58 books book NNS 39713 208 59 of of IN 39713 208 60 inductive inductive JJ 39713 208 61 logic logic NN 39713 208 62 . . . 39713 209 1 The the DT 39713 209 2 useful useful JJ 39713 209 3 hypotheses hypothesis NNS 39713 209 4 of of IN 39713 209 5 science science NN 39713 209 6 are be VBP 39713 209 7 of of IN 39713 209 8 two two CD 39713 209 9 kinds kind NNS 39713 209 10 : : : 39713 209 11 1 1 LS 39713 209 12 . . . 39713 210 1 The the DT 39713 210 2 hypotheses hypothesis NNS 39713 210 3 which which WDT 39713 210 4 are be VBP 39713 210 5 valuable valuable JJ 39713 210 6 _ _ NNP 39713 210 7 precisely precisely RB 39713 210 8 _ _ NNP 39713 210 9 because because IN 39713 210 10 they -PRON- PRP 39713 210 11 are be VBP 39713 210 12 either either CC 39713 210 13 verifiable verifiable JJ 39713 210 14 or or CC 39713 210 15 else else RB 39713 210 16 refutable refutable JJ 39713 210 17 through through IN 39713 210 18 a a DT 39713 210 19 definite definite JJ 39713 210 20 appeal appeal NN 39713 210 21 to to IN 39713 210 22 the the DT 39713 210 23 tests test NNS 39713 210 24 furnished furnish VBN 39713 210 25 by by IN 39713 210 26 experience experience NN 39713 210 27 ; ; , 39713 210 28 and and CC 39713 210 29 2 2 CD 39713 210 30 . . . 39713 211 1 The the DT 39713 211 2 hypotheses hypothesis NNS 39713 211 3 which which WDT 39713 211 4 , , , 39713 211 5 despite despite IN 39713 211 6 the the DT 39713 211 7 fact fact NN 39713 211 8 that that IN 39713 211 9 experience experience NN 39713 211 10 suggests suggest VBZ 39713 211 11 them -PRON- PRP 39713 211 12 , , , 39713 211 13 are be VBP 39713 211 14 valuable valuable JJ 39713 211 15 _ _ NNP 39713 211 16 despite despite IN 39713 211 17 _ _ NNP 39713 211 18 , , , 39713 211 19 or or CC 39713 211 20 even even RB 39713 211 21 _ _ NNP 39713 211 22 because because IN 39713 211 23 _ _ NNP 39713 211 24 , , , 39713 211 25 of of IN 39713 211 26 the the DT 39713 211 27 fact fact NN 39713 211 28 that that IN 39713 211 29 experience experience NN 39713 211 30 can can MD 39713 211 31 _ _ XX 39713 211 32 neither neither CC 39713 211 33 _ _ NNP 39713 211 34 confirm confirm VB 39713 211 35 nor nor CC 39713 211 36 refute refute VB 39713 211 37 them -PRON- PRP 39713 211 38 . . . 39713 212 1 The the DT 39713 212 2 contrast contrast NN 39713 212 3 between between IN 39713 212 4 these these DT 39713 212 5 two two CD 39713 212 6 kinds kind NNS 39713 212 7 of of IN 39713 212 8 hypotheses hypothesis NNS 39713 212 9 is be VBZ 39713 212 10 a a DT 39713 212 11 prominent prominent JJ 39713 212 12 topic topic NN 39713 212 13 of of IN 39713 212 14 our -PRON- PRP$ 39713 212 15 author author NN 39713 212 16 's 's POS 39713 212 17 discussion discussion NN 39713 212 18 . . . 39713 213 1 Hypotheses hypothesis NNS 39713 213 2 of of IN 39713 213 3 the the DT 39713 213 4 general general JJ 39713 213 5 type type NN 39713 213 6 which which WDT 39713 213 7 I -PRON- PRP 39713 213 8 have have VBP 39713 213 9 here here RB 39713 213 10 placed place VBN 39713 213 11 first first RB 39713 213 12 in in IN 39713 213 13 order order NN 39713 213 14 are be VBP 39713 213 15 the the DT 39713 213 16 ones one NNS 39713 213 17 which which WDT 39713 213 18 the the DT 39713 213 19 text text NN 39713 213 20 - - HYPH 39713 213 21 books book NNS 39713 213 22 of of IN 39713 213 23 inductive inductive JJ 39713 213 24 logic logic NN 39713 213 25 and and CC 39713 213 26 those those DT 39713 213 27 summaries summary NNS 39713 213 28 of of IN 39713 213 29 scientific scientific JJ 39713 213 30 method method NN 39713 213 31 which which WDT 39713 213 32 are be VBP 39713 213 33 customary customary JJ 39713 213 34 in in IN 39713 213 35 the the DT 39713 213 36 course course NN 39713 213 37 of of IN 39713 213 38 the the DT 39713 213 39 elementary elementary JJ 39713 213 40 treatises treatise NNS 39713 213 41 upon upon IN 39713 213 42 physical physical JJ 39713 213 43 science science NN 39713 213 44 are be VBP 39713 213 45 already already RB 39713 213 46 accustomed accustom VBN 39713 213 47 to to TO 39713 213 48 recognize recognize VB 39713 213 49 and and CC 39713 213 50 to to TO 39713 213 51 characterize characterize VB 39713 213 52 . . . 39713 214 1 The the DT 39713 214 2 value value NN 39713 214 3 of of IN 39713 214 4 such such JJ 39713 214 5 hypotheses hypothesis NNS 39713 214 6 is be VBZ 39713 214 7 indeed indeed RB 39713 214 8 undoubted undoubted JJ 39713 214 9 . . . 39713 215 1 But but CC 39713 215 2 hypotheses hypothesis NNS 39713 215 3 of of IN 39713 215 4 the the DT 39713 215 5 type type NN 39713 215 6 which which WDT 39713 215 7 I -PRON- PRP 39713 215 8 have have VBP 39713 215 9 here here RB 39713 215 10 named name VBN 39713 215 11 in in IN 39713 215 12 the the DT 39713 215 13 second second JJ 39713 215 14 place place NN 39713 215 15 are be VBP 39713 215 16 far far RB 39713 215 17 less less RBR 39713 215 18 frequently frequently RB 39713 215 19 recognized recognize VBN 39713 215 20 in in IN 39713 215 21 a a DT 39713 215 22 perfectly perfectly RB 39713 215 23 explicit explicit JJ 39713 215 24 way way NN 39713 215 25 as as IN 39713 215 26 useful useful JJ 39713 215 27 aids aid NNS 39713 215 28 in in IN 39713 215 29 the the DT 39713 215 30 work work NN 39713 215 31 of of IN 39713 215 32 special special JJ 39713 215 33 science science NN 39713 215 34 . . . 39713 216 1 One one CD 39713 216 2 usually usually RB 39713 216 3 either either CC 39713 216 4 fails fail VBZ 39713 216 5 to to TO 39713 216 6 admit admit VB 39713 216 7 their -PRON- PRP$ 39713 216 8 presence presence NN 39713 216 9 in in IN 39713 216 10 scientific scientific JJ 39713 216 11 work work NN 39713 216 12 , , , 39713 216 13 or or CC 39713 216 14 else else RB 39713 216 15 remains remain VBZ 39713 216 16 silent silent JJ 39713 216 17 as as IN 39713 216 18 to to IN 39713 216 19 the the DT 39713 216 20 reasons reason NNS 39713 216 21 of of IN 39713 216 22 their -PRON- PRP$ 39713 216 23 usefulness usefulness NN 39713 216 24 . . . 39713 217 1 Our -PRON- PRP$ 39713 217 2 author author NN 39713 217 3 's 's POS 39713 217 4 treatment treatment NN 39713 217 5 of of IN 39713 217 6 the the DT 39713 217 7 work work NN 39713 217 8 of of IN 39713 217 9 science science NN 39713 217 10 is be VBZ 39713 217 11 therefore therefore RB 39713 217 12 especially especially RB 39713 217 13 marked mark VBN 39713 217 14 by by IN 39713 217 15 the the DT 39713 217 16 fact fact NN 39713 217 17 that that IN 39713 217 18 he -PRON- PRP 39713 217 19 explicitly explicitly RB 39713 217 20 makes make VBZ 39713 217 21 prominent prominent JJ 39713 217 22 both both CC 39713 217 23 the the DT 39713 217 24 existence existence NN 39713 217 25 and and CC 39713 217 26 the the DT 39713 217 27 scientific scientific JJ 39713 217 28 importance importance NN 39713 217 29 of of IN 39713 217 30 hypotheses hypothesis NNS 39713 217 31 of of IN 39713 217 32 this this DT 39713 217 33 second second JJ 39713 217 34 type type NN 39713 217 35 . . . 39713 218 1 They -PRON- PRP 39713 218 2 occupy occupy VBP 39713 218 3 in in IN 39713 218 4 his -PRON- PRP$ 39713 218 5 discussion discussion NN 39713 218 6 a a DT 39713 218 7 place place NN 39713 218 8 somewhat somewhat RB 39713 218 9 analogous analogous JJ 39713 218 10 to to IN 39713 218 11 each each DT 39713 218 12 of of IN 39713 218 13 the the DT 39713 218 14 two two CD 39713 218 15 distinct distinct JJ 39713 218 16 positions position NNS 39713 218 17 occupied occupy VBN 39713 218 18 by by IN 39713 218 19 the the DT 39713 218 20 ' ' `` 39713 218 21 categories category NNS 39713 218 22 ' ' '' 39713 218 23 and and CC 39713 218 24 the the DT 39713 218 25 ' ' `` 39713 218 26 forms form NNS 39713 218 27 of of IN 39713 218 28 sensibility sensibility NN 39713 218 29 , , , 39713 218 30 ' ' '' 39713 218 31 on on IN 39713 218 32 the the DT 39713 218 33 one one CD 39713 218 34 hand hand NN 39713 218 35 , , , 39713 218 36 and and CC 39713 218 37 by by IN 39713 218 38 the the DT 39713 218 39 ' ' `` 39713 218 40 regulative regulative JJ 39713 218 41 principles principle NNS 39713 218 42 of of IN 39713 218 43 the the DT 39713 218 44 reason reason NN 39713 218 45 , , , 39713 218 46 ' ' '' 39713 218 47 on on IN 39713 218 48 the the DT 39713 218 49 other other JJ 39713 218 50 hand hand NN 39713 218 51 , , , 39713 218 52 in in IN 39713 218 53 the the DT 39713 218 54 Kantian kantian JJ 39713 218 55 theory theory NN 39713 218 56 of of IN 39713 218 57 our -PRON- PRP$ 39713 218 58 knowledge knowledge NN 39713 218 59 of of IN 39713 218 60 nature nature NN 39713 218 61 . . . 39713 219 1 That that RB 39713 219 2 is is RB 39713 219 3 , , , 39713 219 4 these these DT 39713 219 5 hypotheses hypothesis NNS 39713 219 6 which which WDT 39713 219 7 can can MD 39713 219 8 neither neither CC 39713 219 9 be be VB 39713 219 10 confirmed confirm VBN 39713 219 11 nor nor CC 39713 219 12 refuted refute VBN 39713 219 13 by by IN 39713 219 14 experience experience NN 39713 219 15 appear appear VBP 39713 219 16 , , , 39713 219 17 in in IN 39713 219 18 M. M. NNP 39713 219 19 Poincaré Poincaré NNP 39713 219 20 's 's POS 39713 219 21 account account NN 39713 219 22 , , , 39713 219 23 partly partly RB 39713 219 24 ( ( -LRB- 39713 219 25 like like IN 39713 219 26 the the DT 39713 219 27 conception conception NN 39713 219 28 of of IN 39713 219 29 ' ' `` 39713 219 30 continuous continuous JJ 39713 219 31 quantity quantity NN 39713 219 32 ' ' '' 39713 219 33 ) ) -RRB- 39713 219 34 as as IN 39713 219 35 devices device NNS 39713 219 36 of of IN 39713 219 37 the the DT 39713 219 38 understanding understanding NN 39713 219 39 whereby whereby WRB 39713 219 40 we -PRON- PRP 39713 219 41 give give VBP 39713 219 42 conceptual conceptual JJ 39713 219 43 unity unity NN 39713 219 44 and and CC 39713 219 45 an an DT 39713 219 46 invisible invisible JJ 39713 219 47 connectedness connectedness NN 39713 219 48 to to IN 39713 219 49 certain certain JJ 39713 219 50 types type NNS 39713 219 51 of of IN 39713 219 52 phenomenal phenomenal JJ 39713 219 53 facts fact NNS 39713 219 54 which which WDT 39713 219 55 come come VBP 39713 219 56 to to IN 39713 219 57 us -PRON- PRP 39713 219 58 in in IN 39713 219 59 a a DT 39713 219 60 discrete discrete JJ 39713 219 61 form form NN 39713 219 62 and and CC 39713 219 63 in in IN 39713 219 64 a a DT 39713 219 65 confused confused JJ 39713 219 66 variety variety NN 39713 219 67 ; ; : 39713 219 68 and and CC 39713 219 69 partly partly RB 39713 219 70 ( ( -LRB- 39713 219 71 like like IN 39713 219 72 the the DT 39713 219 73 larger large JJR 39713 219 74 organizing organizing NN 39713 219 75 concepts concept NNS 39713 219 76 of of IN 39713 219 77 science science NN 39713 219 78 ) ) -RRB- 39713 219 79 as as IN 39713 219 80 principles principle NNS 39713 219 81 regarding regard VBG 39713 219 82 the the DT 39713 219 83 structure structure NN 39713 219 84 of of IN 39713 219 85 the the DT 39713 219 86 world world NN 39713 219 87 in in IN 39713 219 88 its -PRON- PRP$ 39713 219 89 wholeness wholeness NN 39713 219 90 ; ; : 39713 219 91 _ _ NNP 39713 219 92 i. i. NNP 39713 220 1 e. e. NNP 39713 220 2 _ _ NNP 39713 220 3 , , , 39713 220 4 as as IN 39713 220 5 principles principle NNS 39713 220 6 in in IN 39713 220 7 the the DT 39713 220 8 light light NN 39713 220 9 of of IN 39713 220 10 which which WDT 39713 220 11 we -PRON- PRP 39713 220 12 try try VBP 39713 220 13 to to TO 39713 220 14 interpret interpret VB 39713 220 15 our -PRON- PRP$ 39713 220 16 experience experience NN 39713 220 17 , , , 39713 220 18 so so IN 39713 220 19 as as IN 39713 220 20 to to TO 39713 220 21 give give VB 39713 220 22 to to IN 39713 220 23 it -PRON- PRP 39713 220 24 a a DT 39713 220 25 totality totality NN 39713 220 26 and and CC 39713 220 27 an an DT 39713 220 28 inclusive inclusive JJ 39713 220 29 unity unity NN 39713 220 30 such such JJ 39713 220 31 as as IN 39713 220 32 Euclidean Euclidean NNP 39713 220 33 space space NN 39713 220 34 , , , 39713 220 35 or or CC 39713 220 36 such such JJ 39713 220 37 as as IN 39713 220 38 the the DT 39713 220 39 world world NN 39713 220 40 of of IN 39713 220 41 the the DT 39713 220 42 theory theory NN 39713 220 43 of of IN 39713 220 44 energy energy NN 39713 220 45 is be VBZ 39713 220 46 conceived conceive VBN 39713 220 47 to to TO 39713 220 48 possess possess VB 39713 220 49 . . . 39713 221 1 Thus thus RB 39713 221 2 viewed view VBN 39713 221 3 , , , 39713 221 4 M. M. NNP 39713 221 5 Poincaré Poincaré NNP 39713 221 6 's 's POS 39713 221 7 logical logical JJ 39713 221 8 theory theory NN 39713 221 9 of of IN 39713 221 10 this this DT 39713 221 11 second second JJ 39713 221 12 class class NN 39713 221 13 of of IN 39713 221 14 hypotheses hypothesis NNS 39713 221 15 undertakes undertake NNS 39713 221 16 to to TO 39713 221 17 accomplish accomplish VB 39713 221 18 , , , 39713 221 19 with with IN 39713 221 20 modern modern JJ 39713 221 21 means mean NNS 39713 221 22 and and CC 39713 221 23 in in IN 39713 221 24 the the DT 39713 221 25 light light NN 39713 221 26 of of IN 39713 221 27 to to IN 39713 221 28 - - HYPH 39713 221 29 day day NN 39713 221 30 's 's POS 39713 221 31 issues issue NNS 39713 221 32 , , , 39713 221 33 a a DT 39713 221 34 part part NN 39713 221 35 of of IN 39713 221 36 what what WP 39713 221 37 Kant Kant NNP 39713 221 38 endeavored endeavor VBD 39713 221 39 to to TO 39713 221 40 accomplish accomplish VB 39713 221 41 in in IN 39713 221 42 his -PRON- PRP$ 39713 221 43 theory theory NN 39713 221 44 of of IN 39713 221 45 scientific scientific JJ 39713 221 46 knowledge knowledge NN 39713 221 47 with with IN 39713 221 48 the the DT 39713 221 49 limited limited JJ 39713 221 50 means mean NNS 39713 221 51 which which WDT 39713 221 52 were be VBD 39713 221 53 at at IN 39713 221 54 his -PRON- PRP$ 39713 221 55 disposal disposal NN 39713 221 56 . . . 39713 222 1 Those those DT 39713 222 2 aspects aspect NNS 39713 222 3 of of IN 39713 222 4 science science NN 39713 222 5 which which WDT 39713 222 6 are be VBP 39713 222 7 determined determine VBN 39713 222 8 by by IN 39713 222 9 the the DT 39713 222 10 use use NN 39713 222 11 of of IN 39713 222 12 the the DT 39713 222 13 hypotheses hypothesis NNS 39713 222 14 of of IN 39713 222 15 this this DT 39713 222 16 second second JJ 39713 222 17 kind kind NN 39713 222 18 appear appear VBP 39713 222 19 in in IN 39713 222 20 our -PRON- PRP$ 39713 222 21 author author NN 39713 222 22 's 's POS 39713 222 23 account account NN 39713 222 24 as as IN 39713 222 25 constituting constitute VBG 39713 222 26 an an DT 39713 222 27 essential essential JJ 39713 222 28 human human JJ 39713 222 29 way way NN 39713 222 30 of of IN 39713 222 31 viewing view VBG 39713 222 32 nature nature NN 39713 222 33 , , , 39713 222 34 an an DT 39713 222 35 interpretation interpretation NN 39713 222 36 rather rather RB 39713 222 37 than than IN 39713 222 38 a a DT 39713 222 39 portrayal portrayal NN 39713 222 40 or or CC 39713 222 41 a a DT 39713 222 42 prediction prediction NN 39713 222 43 of of IN 39713 222 44 the the DT 39713 222 45 objective objective JJ 39713 222 46 facts fact NNS 39713 222 47 of of IN 39713 222 48 nature nature NN 39713 222 49 , , , 39713 222 50 an an DT 39713 222 51 adjustment adjustment NN 39713 222 52 of of IN 39713 222 53 our -PRON- PRP$ 39713 222 54 conceptions conception NNS 39713 222 55 of of IN 39713 222 56 things thing NNS 39713 222 57 to to IN 39713 222 58 the the DT 39713 222 59 internal internal JJ 39713 222 60 needs need NNS 39713 222 61 of of IN 39713 222 62 our -PRON- PRP$ 39713 222 63 intelligence intelligence NN 39713 222 64 , , , 39713 222 65 rather rather RB 39713 222 66 than than IN 39713 222 67 a a DT 39713 222 68 grasping grasping NN 39713 222 69 of of IN 39713 222 70 things thing NNS 39713 222 71 as as IN 39713 222 72 they -PRON- PRP 39713 222 73 are be VBP 39713 222 74 in in IN 39713 222 75 themselves -PRON- PRP 39713 222 76 . . . 39713 223 1 To to TO 39713 223 2 be be VB 39713 223 3 sure sure JJ 39713 223 4 , , , 39713 223 5 M. M. NNP 39713 223 6 Poincaré Poincaré NNP 39713 223 7 's 's POS 39713 223 8 view view NN 39713 223 9 , , , 39713 223 10 in in IN 39713 223 11 this this DT 39713 223 12 portion portion NN 39713 223 13 of of IN 39713 223 14 his -PRON- PRP$ 39713 223 15 work work NN 39713 223 16 , , , 39713 223 17 obviously obviously RB 39713 223 18 differs differ VBZ 39713 223 19 , , , 39713 223 20 meanwhile meanwhile RB 39713 223 21 , , , 39713 223 22 from from IN 39713 223 23 that that DT 39713 223 24 of of IN 39713 223 25 Kant Kant NNP 39713 223 26 , , , 39713 223 27 as as RB 39713 223 28 well well RB 39713 223 29 as as IN 39713 223 30 this this DT 39713 223 31 agrees agree VBZ 39713 223 32 , , , 39713 223 33 in in IN 39713 223 34 a a DT 39713 223 35 measure measure NN 39713 223 36 , , , 39713 223 37 with with IN 39713 223 38 the the DT 39713 223 39 spirit spirit NN 39713 223 40 of of IN 39713 223 41 the the DT 39713 223 42 Kantian kantian JJ 39713 223 43 epistemology epistemology NN 39713 223 44 . . . 39713 224 1 I -PRON- PRP 39713 224 2 do do VBP 39713 224 3 not not RB 39713 224 4 mean mean VB 39713 224 5 therefore therefore RB 39713 224 6 to to TO 39713 224 7 class class VB 39713 224 8 our -PRON- PRP$ 39713 224 9 author author NN 39713 224 10 as as IN 39713 224 11 a a DT 39713 224 12 Kantian Kantian NNP 39713 224 13 . . . 39713 225 1 For for IN 39713 225 2 Kant Kant NNP 39713 225 3 , , , 39713 225 4 the the DT 39713 225 5 interpretations interpretation NNS 39713 225 6 imposed impose VBN 39713 225 7 by by IN 39713 225 8 the the DT 39713 225 9 ' ' `` 39713 225 10 forms form NNS 39713 225 11 of of IN 39713 225 12 sensibility sensibility NN 39713 225 13 , , , 39713 225 14 ' ' '' 39713 225 15 and and CC 39713 225 16 by by IN 39713 225 17 the the DT 39713 225 18 ' ' NNS 39713 225 19 categories category NNS 39713 225 20 of of IN 39713 225 21 the the DT 39713 225 22 understanding understanding NN 39713 225 23 , , , 39713 225 24 ' ' '' 39713 225 25 upon upon IN 39713 225 26 our -PRON- PRP$ 39713 225 27 doctrine doctrine NN 39713 225 28 of of IN 39713 225 29 nature nature NN 39713 225 30 are be VBP 39713 225 31 rigidly rigidly RB 39713 225 32 predetermined predetermine VBN 39713 225 33 by by IN 39713 225 34 the the DT 39713 225 35 unalterable unalterable JJ 39713 225 36 ' ' `` 39713 225 37 form form NN 39713 225 38 ' ' '' 39713 225 39 of of IN 39713 225 40 our -PRON- PRP$ 39713 225 41 intellectual intellectual JJ 39713 225 42 powers power NNS 39713 225 43 . . . 39713 226 1 We -PRON- PRP 39713 226 2 ' ' `` 39713 226 3 must must MD 39713 226 4 ' ' `` 39713 226 5 thus thus RB 39713 226 6 view view VB 39713 226 7 facts fact NNS 39713 226 8 , , , 39713 226 9 whatever whatever WDT 39713 226 10 the the DT 39713 226 11 data datum NNS 39713 226 12 of of IN 39713 226 13 sense sense NN 39713 226 14 must must MD 39713 226 15 be be VB 39713 226 16 . . . 39713 227 1 This this DT 39713 227 2 , , , 39713 227 3 of of IN 39713 227 4 course course NN 39713 227 5 , , , 39713 227 6 is be VBZ 39713 227 7 not not RB 39713 227 8 M. M. NNP 39713 227 9 Poincaré Poincaré NNP 39713 227 10 's 's POS 39713 227 11 view view NN 39713 227 12 . . . 39713 228 1 A a DT 39713 228 2 similarly similarly RB 39713 228 3 rigid rigid JJ 39713 228 4 predetermination predetermination NN 39713 228 5 also also RB 39713 228 6 limits limit VBZ 39713 228 7 the the DT 39713 228 8 Kantian Kantian NNPS 39713 228 9 ' ' POS 39713 228 10 ideas idea NNS 39713 228 11 of of IN 39713 228 12 the the DT 39713 228 13 reason reason NN 39713 228 14 ' ' '' 39713 228 15 to to IN 39713 228 16 a a DT 39713 228 17 certain certain JJ 39713 228 18 set set NN 39713 228 19 of of IN 39713 228 20 principles principle NNS 39713 228 21 whose whose WP$ 39713 228 22 guidance guidance NN 39713 228 23 of of IN 39713 228 24 the the DT 39713 228 25 course course NN 39713 228 26 of of IN 39713 228 27 our -PRON- PRP$ 39713 228 28 theoretical theoretical JJ 39713 228 29 investigations investigation NNS 39713 228 30 is be VBZ 39713 228 31 indeed indeed RB 39713 228 32 only only RB 39713 228 33 ' ' `` 39713 228 34 regulative regulative JJ 39713 228 35 , , , 39713 228 36 ' ' '' 39713 228 37 but but CC 39713 228 38 is be VBZ 39713 228 39 ' ' '' 39713 228 40 a a DT 39713 228 41 priori priori FW 39713 228 42 , , , 39713 228 43 ' ' '' 39713 228 44 and and CC 39713 228 45 so so RB 39713 228 46 unchangeable unchangeable JJ 39713 228 47 . . . 39713 229 1 For for IN 39713 229 2 M. M. NNP 39713 229 3 Poincaré Poincaré NNP 39713 229 4 , , , 39713 229 5 on on IN 39713 229 6 the the DT 39713 229 7 contrary contrary NN 39713 229 8 , , , 39713 229 9 all all PDT 39713 229 10 this this DT 39713 229 11 adjustment adjustment NN 39713 229 12 of of IN 39713 229 13 our -PRON- PRP$ 39713 229 14 interpretations interpretation NNS 39713 229 15 of of IN 39713 229 16 experience experience NN 39713 229 17 to to IN 39713 229 18 the the DT 39713 229 19 needs need NNS 39713 229 20 of of IN 39713 229 21 our -PRON- PRP$ 39713 229 22 intellect intellect NN 39713 229 23 is be VBZ 39713 229 24 something something NN 39713 229 25 far far RB 39713 229 26 less less RBR 39713 229 27 rigid rigid JJ 39713 229 28 and and CC 39713 229 29 unalterable unalterable JJ 39713 229 30 , , , 39713 229 31 and and CC 39713 229 32 is be VBZ 39713 229 33 constantly constantly RB 39713 229 34 subject subject JJ 39713 229 35 to to IN 39713 229 36 the the DT 39713 229 37 suggestions suggestion NNS 39713 229 38 of of IN 39713 229 39 experience experience NN 39713 229 40 . . . 39713 230 1 We -PRON- PRP 39713 230 2 must must MD 39713 230 3 indeed indeed RB 39713 230 4 interpret interpret VB 39713 230 5 in in IN 39713 230 6 our -PRON- PRP$ 39713 230 7 own own JJ 39713 230 8 way way NN 39713 230 9 ; ; : 39713 230 10 but but CC 39713 230 11 our -PRON- PRP$ 39713 230 12 way way NN 39713 230 13 is be VBZ 39713 230 14 itself -PRON- PRP 39713 230 15 only only RB 39713 230 16 relatively relatively RB 39713 230 17 determinate determinate JJ 39713 230 18 ; ; : 39713 230 19 it -PRON- PRP 39713 230 20 is be VBZ 39713 230 21 essentially essentially RB 39713 230 22 more more RBR 39713 230 23 or or CC 39713 230 24 less less JJR 39713 230 25 plastic plastic NN 39713 230 26 ; ; : 39713 230 27 other other JJ 39713 230 28 interpretations interpretation NNS 39713 230 29 of of IN 39713 230 30 experience experience NN 39713 230 31 are be VBP 39713 230 32 conceivable conceivable JJ 39713 230 33 . . . 39713 231 1 Those those DT 39713 231 2 that that WDT 39713 231 3 we -PRON- PRP 39713 231 4 use use VBP 39713 231 5 are be VBP 39713 231 6 merely merely RB 39713 231 7 the the DT 39713 231 8 ones one NNS 39713 231 9 found find VBN 39713 231 10 to to TO 39713 231 11 be be VB 39713 231 12 most most RBS 39713 231 13 convenient convenient JJ 39713 231 14 . . . 39713 232 1 But but CC 39713 232 2 this this DT 39713 232 3 convenience convenience NN 39713 232 4 is be VBZ 39713 232 5 not not RB 39713 232 6 absolute absolute JJ 39713 232 7 necessity necessity NN 39713 232 8 . . . 39713 233 1 Unverifiable unverifiable JJ 39713 233 2 and and CC 39713 233 3 irrefutable irrefutable JJ 39713 233 4 hypotheses hypothesis NNS 39713 233 5 in in IN 39713 233 6 science science NN 39713 233 7 are be VBP 39713 233 8 indeed indeed RB 39713 233 9 , , , 39713 233 10 in in IN 39713 233 11 general general JJ 39713 233 12 , , , 39713 233 13 indispensable indispensable JJ 39713 233 14 aids aid NNS 39713 233 15 to to IN 39713 233 16 the the DT 39713 233 17 organization organization NN 39713 233 18 and and CC 39713 233 19 to to IN 39713 233 20 the the DT 39713 233 21 guidance guidance NN 39713 233 22 of of IN 39713 233 23 our -PRON- PRP$ 39713 233 24 interpretation interpretation NN 39713 233 25 of of IN 39713 233 26 experience experience NN 39713 233 27 . . . 39713 234 1 But but CC 39713 234 2 it -PRON- PRP 39713 234 3 is be VBZ 39713 234 4 experience experience NN 39713 234 5 itself -PRON- PRP 39713 234 6 which which WDT 39713 234 7 points point VBZ 39713 234 8 out out RP 39713 234 9 to to IN 39713 234 10 us -PRON- PRP 39713 234 11 what what WDT 39713 234 12 lines line NNS 39713 234 13 of of IN 39713 234 14 interpretation interpretation NN 39713 234 15 will will MD 39713 234 16 prove prove VB 39713 234 17 most most RBS 39713 234 18 convenient convenient JJ 39713 234 19 . . . 39713 235 1 Instead instead RB 39713 235 2 of of IN 39713 235 3 Kant Kant NNP 39713 235 4 's 's POS 39713 235 5 rigid rigid JJ 39713 235 6 list list NN 39713 235 7 of of IN 39713 235 8 _ _ NNP 39713 235 9 a a DT 39713 235 10 priori priori FW 39713 235 11 _ _ NNP 39713 235 12 ' ' POS 39713 235 13 forms form NNS 39713 235 14 , , , 39713 235 15 ' ' '' 39713 235 16 we -PRON- PRP 39713 235 17 consequently consequently RB 39713 235 18 have have VBP 39713 235 19 in in IN 39713 235 20 M. M. NNP 39713 235 21 Poincaré Poincaré NNP 39713 235 22 's 's POS 39713 235 23 account account NN 39713 235 24 a a DT 39713 235 25 set set NN 39713 235 26 of of IN 39713 235 27 conventions convention NNS 39713 235 28 , , , 39713 235 29 neither neither CC 39713 235 30 wholly wholly RB 39713 235 31 subjective subjective JJ 39713 235 32 and and CC 39713 235 33 arbitrary arbitrary JJ 39713 235 34 , , , 39713 235 35 nor nor CC 39713 235 36 yet yet RB 39713 235 37 imposed impose VBN 39713 235 38 upon upon IN 39713 235 39 us -PRON- PRP 39713 235 40 unambiguously unambiguously RB 39713 235 41 by by IN 39713 235 42 the the DT 39713 235 43 external external JJ 39713 235 44 compulsion compulsion NN 39713 235 45 of of IN 39713 235 46 experience experience NN 39713 235 47 . . . 39713 236 1 The the DT 39713 236 2 organization organization NN 39713 236 3 of of IN 39713 236 4 science science NN 39713 236 5 , , , 39713 236 6 so so RB 39713 236 7 far far RB 39713 236 8 as as IN 39713 236 9 this this DT 39713 236 10 organization organization NN 39713 236 11 is be VBZ 39713 236 12 due due JJ 39713 236 13 to to IN 39713 236 14 hypotheses hypothesis NNS 39713 236 15 of of IN 39713 236 16 the the DT 39713 236 17 kind kind NN 39713 236 18 here here RB 39713 236 19 in in IN 39713 236 20 question question NN 39713 236 21 , , , 39713 236 22 thus thus RB 39713 236 23 resembles resemble VBZ 39713 236 24 that that DT 39713 236 25 of of IN 39713 236 26 a a DT 39713 236 27 constitutional constitutional JJ 39713 236 28 government government NN 39713 236 29 -- -- : 39713 236 30 neither neither CC 39713 236 31 absolutely absolutely RB 39713 236 32 necessary necessary JJ 39713 236 33 , , , 39713 236 34 nor nor CC 39713 236 35 yet yet RB 39713 236 36 determined determine VBN 39713 236 37 apart apart RB 39713 236 38 from from IN 39713 236 39 the the DT 39713 236 40 will will NN 39713 236 41 of of IN 39713 236 42 the the DT 39713 236 43 subjects subject NNS 39713 236 44 , , , 39713 236 45 nor nor CC 39713 236 46 yet yet RB 39713 236 47 accidental accidental JJ 39713 236 48 -- -- : 39713 236 49 a a DT 39713 236 50 free free JJ 39713 236 51 , , , 39713 236 52 yet yet CC 39713 236 53 not not RB 39713 236 54 a a DT 39713 236 55 capricious capricious JJ 39713 236 56 establishment establishment NN 39713 236 57 of of IN 39713 236 58 good good JJ 39713 236 59 order order NN 39713 236 60 , , , 39713 236 61 in in IN 39713 236 62 conformity conformity NN 39713 236 63 with with IN 39713 236 64 empirical empirical JJ 39713 236 65 needs need NNS 39713 236 66 . . . 39713 237 1 Characteristic characteristic JJ 39713 237 2 remains remain VBZ 39713 237 3 , , , 39713 237 4 however however RB 39713 237 5 , , , 39713 237 6 for for IN 39713 237 7 our -PRON- PRP$ 39713 237 8 author author NN 39713 237 9 , , , 39713 237 10 as as IN 39713 237 11 , , , 39713 237 12 in in IN 39713 237 13 his -PRON- PRP$ 39713 237 14 decidedly decidedly RB 39713 237 15 contrasting contrast VBG 39713 237 16 way way NN 39713 237 17 , , , 39713 237 18 for for IN 39713 237 19 Kant Kant NNP 39713 237 20 , , , 39713 237 21 the the DT 39713 237 22 thought thought NN 39713 237 23 that that WDT 39713 237 24 _ _ NNP 39713 237 25 without without IN 39713 237 26 principles principle NNS 39713 237 27 which which WDT 39713 237 28 at at IN 39713 237 29 every every DT 39713 237 30 stage stage NN 39713 237 31 transcend transcend VBP 39713 237 32 precise precise JJ 39713 237 33 confirmation confirmation NN 39713 237 34 through through IN 39713 237 35 such such JJ 39713 237 36 experience experience NN 39713 237 37 as as IN 39713 237 38 is be VBZ 39713 237 39 then then RB 39713 237 40 accessible accessible JJ 39713 237 41 the the DT 39713 237 42 organization organization NN 39713 237 43 of of IN 39713 237 44 experience experience NN 39713 237 45 is be VBZ 39713 237 46 impossible impossible JJ 39713 237 47 _ _ NNP 39713 237 48 . . . 39713 238 1 Whether whether IN 39713 238 2 one one CD 39713 238 3 views view VBZ 39713 238 4 these these DT 39713 238 5 principles principle NNS 39713 238 6 as as IN 39713 238 7 conventions convention NNS 39713 238 8 or or CC 39713 238 9 as as IN 39713 238 10 _ _ NNP 39713 238 11 a a DT 39713 238 12 priori priori FW 39713 238 13 _ _ NNP 39713 238 14 ' ' POS 39713 238 15 forms form NNS 39713 238 16 , , , 39713 238 17 ' ' '' 39713 238 18 they -PRON- PRP 39713 238 19 may may MD 39713 238 20 therefore therefore RB 39713 238 21 be be VB 39713 238 22 described describe VBN 39713 238 23 as as IN 39713 238 24 hypotheses hypothesis NNS 39713 238 25 , , , 39713 238 26 but but CC 39713 238 27 as as IN 39713 238 28 hypotheses hypothesis NNS 39713 238 29 that that WDT 39713 238 30 , , , 39713 238 31 while while IN 39713 238 32 lying lie VBG 39713 238 33 at at IN 39713 238 34 the the DT 39713 238 35 basis basis NN 39713 238 36 of of IN 39713 238 37 our -PRON- PRP$ 39713 238 38 actual actual JJ 39713 238 39 physical physical JJ 39713 238 40 sciences science NNS 39713 238 41 , , , 39713 238 42 at at IN 39713 238 43 once once RB 39713 238 44 refer refer VB 39713 238 45 to to TO 39713 238 46 experience experience VB 39713 238 47 and and CC 39713 238 48 help help VB 39713 238 49 us -PRON- PRP 39713 238 50 in in IN 39713 238 51 dealing deal VBG 39713 238 52 with with IN 39713 238 53 experience experience NN 39713 238 54 , , , 39713 238 55 and and CC 39713 238 56 are be VBP 39713 238 57 yet yet RB 39713 238 58 neither neither CC 39713 238 59 confirmed confirm VBN 39713 238 60 nor nor CC 39713 238 61 refuted refute VBN 39713 238 62 by by IN 39713 238 63 the the DT 39713 238 64 experiences experience NNS 39713 238 65 which which WDT 39713 238 66 we -PRON- PRP 39713 238 67 possess possess VBP 39713 238 68 or or CC 39713 238 69 which which WDT 39713 238 70 we -PRON- PRP 39713 238 71 can can MD 39713 238 72 hope hope VB 39713 238 73 to to TO 39713 238 74 attain attain VB 39713 238 75 . . . 39713 239 1 Three three CD 39713 239 2 special special JJ 39713 239 3 instances instance NNS 39713 239 4 or or CC 39713 239 5 classes class NNS 39713 239 6 of of IN 39713 239 7 instances instance NNS 39713 239 8 , , , 39713 239 9 according accord VBG 39713 239 10 to to IN 39713 239 11 our -PRON- PRP$ 39713 239 12 author author NN 39713 239 13 's 's POS 39713 239 14 account account NN 39713 239 15 , , , 39713 239 16 may may MD 39713 239 17 be be VB 39713 239 18 used use VBN 39713 239 19 as as IN 39713 239 20 illustrations illustration NNS 39713 239 21 of of IN 39713 239 22 this this DT 39713 239 23 general general JJ 39713 239 24 type type NN 39713 239 25 of of IN 39713 239 26 hypotheses hypothesis NNS 39713 239 27 . . . 39713 240 1 They -PRON- PRP 39713 240 2 are be VBP 39713 240 3 : : : 39713 240 4 ( ( -LRB- 39713 240 5 1 1 LS 39713 240 6 ) ) -RRB- 39713 240 7 The the DT 39713 240 8 hypothesis hypothesis NN 39713 240 9 of of IN 39713 240 10 the the DT 39713 240 11 existence existence NN 39713 240 12 of of IN 39713 240 13 continuous continuous JJ 39713 240 14 extensive extensive JJ 39713 240 15 _ _ NNP 39713 240 16 quanta quanta NNP 39713 240 17 _ _ NNP 39713 240 18 in in IN 39713 240 19 nature nature NN 39713 240 20 ; ; : 39713 240 21 ( ( -LRB- 39713 240 22 2 2 LS 39713 240 23 ) ) -RRB- 39713 240 24 The the DT 39713 240 25 principles principle NNS 39713 240 26 of of IN 39713 240 27 geometry geometry NN 39713 240 28 ; ; : 39713 240 29 ( ( -LRB- 39713 240 30 3 3 LS 39713 240 31 ) ) -RRB- 39713 240 32 The the DT 39713 240 33 principles principle NNS 39713 240 34 of of IN 39713 240 35 mechanics mechanic NNS 39713 240 36 and and CC 39713 240 37 of of IN 39713 240 38 the the DT 39713 240 39 general general JJ 39713 240 40 theory theory NN 39713 240 41 of of IN 39713 240 42 energy energy NN 39713 240 43 . . . 39713 241 1 In in IN 39713 241 2 case case NN 39713 241 3 of of IN 39713 241 4 each each DT 39713 241 5 of of IN 39713 241 6 these these DT 39713 241 7 special special JJ 39713 241 8 types type NNS 39713 241 9 of of IN 39713 241 10 hypotheses hypothesis NNS 39713 241 11 we -PRON- PRP 39713 241 12 are be VBP 39713 241 13 at at IN 39713 241 14 first first RB 39713 241 15 disposed dispose VBN 39713 241 16 , , , 39713 241 17 apart apart RB 39713 241 18 from from IN 39713 241 19 reflection reflection NN 39713 241 20 , , , 39713 241 21 to to TO 39713 241 22 say say VB 39713 241 23 that that IN 39713 241 24 we -PRON- PRP 39713 241 25 _ _ NNP 39713 241 26 find find VBP 39713 241 27 _ _ NNP 39713 241 28 the the DT 39713 241 29 world world NN 39713 241 30 to to TO 39713 241 31 be be VB 39713 241 32 thus thus RB 39713 241 33 or or CC 39713 241 34 thus thus RB 39713 241 35 , , , 39713 241 36 so so IN 39713 241 37 that that IN 39713 241 38 , , , 39713 241 39 for for IN 39713 241 40 instance instance NN 39713 241 41 , , , 39713 241 42 we -PRON- PRP 39713 241 43 can can MD 39713 241 44 confirm confirm VB 39713 241 45 the the DT 39713 241 46 thesis thesis NN 39713 241 47 according accord VBG 39713 241 48 to to IN 39713 241 49 which which WDT 39713 241 50 nature nature NN 39713 241 51 contains contain VBZ 39713 241 52 continuous continuous JJ 39713 241 53 magnitudes magnitude NNS 39713 241 54 ; ; , 39713 241 55 or or CC 39713 241 56 can can MD 39713 241 57 prove prove VB 39713 241 58 or or CC 39713 241 59 disprove disprove VB 39713 241 60 the the DT 39713 241 61 physical physical JJ 39713 241 62 truth truth NN 39713 241 63 of of IN 39713 241 64 the the DT 39713 241 65 postulates postulate NNS 39713 241 66 of of IN 39713 241 67 Euclidean euclidean JJ 39713 241 68 geometry geometry NN 39713 241 69 ; ; : 39713 241 70 or or CC 39713 241 71 can can MD 39713 241 72 confirm confirm VB 39713 241 73 by by IN 39713 241 74 definite definite JJ 39713 241 75 experience experience NN 39713 241 76 the the DT 39713 241 77 objective objective JJ 39713 241 78 validity validity NN 39713 241 79 of of IN 39713 241 80 the the DT 39713 241 81 principles principle NNS 39713 241 82 of of IN 39713 241 83 mechanics mechanic NNS 39713 241 84 . . . 39713 242 1 A a DT 39713 242 2 closer close JJR 39713 242 3 examination examination NN 39713 242 4 reveals reveal NNS 39713 242 5 , , , 39713 242 6 according accord VBG 39713 242 7 to to IN 39713 242 8 our -PRON- PRP$ 39713 242 9 author author NN 39713 242 10 , , , 39713 242 11 the the DT 39713 242 12 incorrectness incorrectness NN 39713 242 13 of of IN 39713 242 14 all all DT 39713 242 15 such such JJ 39713 242 16 opinions opinion NNS 39713 242 17 . . . 39713 243 1 Hypotheses hypothesis NNS 39713 243 2 of of IN 39713 243 3 these these DT 39713 243 4 various various JJ 39713 243 5 special special JJ 39713 243 6 types type NNS 39713 243 7 are be VBP 39713 243 8 needed need VBN 39713 243 9 ; ; : 39713 243 10 and and CC 39713 243 11 their -PRON- PRP$ 39713 243 12 usefulness usefulness NN 39713 243 13 can can MD 39713 243 14 be be VB 39713 243 15 empirically empirically RB 39713 243 16 shown show VBN 39713 243 17 . . . 39713 244 1 They -PRON- PRP 39713 244 2 are be VBP 39713 244 3 in in IN 39713 244 4 touch touch NN 39713 244 5 with with IN 39713 244 6 experience experience NN 39713 244 7 ; ; , 39713 244 8 and and CC 39713 244 9 that that IN 39713 244 10 they -PRON- PRP 39713 244 11 are be VBP 39713 244 12 not not RB 39713 244 13 merely merely RB 39713 244 14 arbitrary arbitrary JJ 39713 244 15 conventions convention NNS 39713 244 16 is be VBZ 39713 244 17 also also RB 39713 244 18 verifiable verifiable JJ 39713 244 19 . . . 39713 245 1 They -PRON- PRP 39713 245 2 are be VBP 39713 245 3 not not RB 39713 245 4 _ _ NNP 39713 245 5 a a DT 39713 245 6 priori priori FW 39713 245 7 _ _ NNP 39713 245 8 necessities necessity NNS 39713 245 9 ; ; : 39713 245 10 and and CC 39713 245 11 we -PRON- PRP 39713 245 12 can can MD 39713 245 13 easily easily RB 39713 245 14 conceive conceive VB 39713 245 15 intelligent intelligent JJ 39713 245 16 beings being NNS 39713 245 17 whose whose WP$ 39713 245 18 experience experience NN 39713 245 19 could could MD 39713 245 20 be be VB 39713 245 21 best well RBS 39713 245 22 interpreted interpret VBN 39713 245 23 without without IN 39713 245 24 using use VBG 39713 245 25 these these DT 39713 245 26 hypotheses hypothesis NNS 39713 245 27 . . . 39713 246 1 Yet yet RB 39713 246 2 these these DT 39713 246 3 hypotheses hypothesis NNS 39713 246 4 are be VBP 39713 246 5 _ _ NNP 39713 246 6 not not RB 39713 246 7 _ _ NNP 39713 246 8 subject subject JJ 39713 246 9 to to IN 39713 246 10 direct direct JJ 39713 246 11 confirmation confirmation NN 39713 246 12 or or CC 39713 246 13 refutation refutation NN 39713 246 14 by by IN 39713 246 15 experience experience NN 39713 246 16 . . . 39713 247 1 They -PRON- PRP 39713 247 2 stand stand VBP 39713 247 3 then then RB 39713 247 4 in in IN 39713 247 5 sharp sharp JJ 39713 247 6 contrast contrast NN 39713 247 7 to to IN 39713 247 8 the the DT 39713 247 9 scientific scientific JJ 39713 247 10 hypotheses hypothesis NNS 39713 247 11 of of IN 39713 247 12 the the DT 39713 247 13 other other JJ 39713 247 14 , , , 39713 247 15 and and CC 39713 247 16 more more RBR 39713 247 17 frequently frequently RB 39713 247 18 recognized recognize VBN 39713 247 19 , , , 39713 247 20 type type NN 39713 247 21 , , , 39713 247 22 _ _ NNP 39713 247 23 i. i. NNP 39713 248 1 e. e. NNP 39713 248 2 _ _ NNP 39713 248 3 , , , 39713 248 4 to to IN 39713 248 5 the the DT 39713 248 6 hypotheses hypothesis NNS 39713 248 7 which which WDT 39713 248 8 can can MD 39713 248 9 be be VB 39713 248 10 tested test VBN 39713 248 11 by by IN 39713 248 12 a a DT 39713 248 13 definite definite JJ 39713 248 14 appeal appeal NN 39713 248 15 to to IN 39713 248 16 experience experience NN 39713 248 17 . . . 39713 249 1 To to IN 39713 249 2 these these DT 39713 249 3 other other JJ 39713 249 4 hypotheses hypothesis NNS 39713 249 5 our -PRON- PRP$ 39713 249 6 author author NN 39713 249 7 attaches attach VBZ 39713 249 8 , , , 39713 249 9 of of IN 39713 249 10 course course NN 39713 249 11 , , , 39713 249 12 great great JJ 39713 249 13 importance importance NN 39713 249 14 . . . 39713 250 1 His -PRON- PRP$ 39713 250 2 treatment treatment NN 39713 250 3 of of IN 39713 250 4 them -PRON- PRP 39713 250 5 is be VBZ 39713 250 6 full full JJ 39713 250 7 of of IN 39713 250 8 a a DT 39713 250 9 living live VBG 39713 250 10 appreciation appreciation NN 39713 250 11 of of IN 39713 250 12 the the DT 39713 250 13 significance significance NN 39713 250 14 of of IN 39713 250 15 empirical empirical JJ 39713 250 16 investigation investigation NN 39713 250 17 . . . 39713 251 1 But but CC 39713 251 2 the the DT 39713 251 3 central central JJ 39713 251 4 problem problem NN 39713 251 5 of of IN 39713 251 6 the the DT 39713 251 7 logic logic NN 39713 251 8 of of IN 39713 251 9 science science NN 39713 251 10 thus thus RB 39713 251 11 becomes become VBZ 39713 251 12 the the DT 39713 251 13 problem problem NN 39713 251 14 of of IN 39713 251 15 the the DT 39713 251 16 relation relation NN 39713 251 17 between between IN 39713 251 18 the the DT 39713 251 19 two two CD 39713 251 20 fundamentally fundamentally RB 39713 251 21 distinct distinct JJ 39713 251 22 types type NNS 39713 251 23 of of IN 39713 251 24 hypotheses hypothesis NNS 39713 251 25 , , , 39713 251 26 _ _ NNP 39713 251 27 i. i. NNP 39713 252 1 e. e. NNP 39713 252 2 _ _ NNP 39713 252 3 , , , 39713 252 4 between between IN 39713 252 5 those those DT 39713 252 6 which which WDT 39713 252 7 can can MD 39713 252 8 not not RB 39713 252 9 be be VB 39713 252 10 verified verify VBN 39713 252 11 or or CC 39713 252 12 refuted refute VBN 39713 252 13 through through IN 39713 252 14 experience experience NN 39713 252 15 , , , 39713 252 16 and and CC 39713 252 17 those those DT 39713 252 18 which which WDT 39713 252 19 can can MD 39713 252 20 be be VB 39713 252 21 empirically empirically RB 39713 252 22 tested test VBN 39713 252 23 . . . 39713 253 1 IV IV NNP 39713 253 2 The the DT 39713 253 3 detailed detailed JJ 39713 253 4 treatment treatment NN 39713 253 5 which which WDT 39713 253 6 M. M. NNP 39713 253 7 Poincaré Poincaré NNP 39713 253 8 gives give VBZ 39713 253 9 to to IN 39713 253 10 the the DT 39713 253 11 problem problem NN 39713 253 12 thus thus RB 39713 253 13 defined define VBN 39713 253 14 must must MD 39713 253 15 be be VB 39713 253 16 learned learn VBN 39713 253 17 from from IN 39713 253 18 his -PRON- PRP$ 39713 253 19 text text NN 39713 253 20 . . . 39713 254 1 It -PRON- PRP 39713 254 2 is be VBZ 39713 254 3 no no DT 39713 254 4 part part NN 39713 254 5 of of IN 39713 254 6 my -PRON- PRP$ 39713 254 7 purpose purpose NN 39713 254 8 to to TO 39713 254 9 expound expound VB 39713 254 10 , , , 39713 254 11 to to TO 39713 254 12 defend defend VB 39713 254 13 or or CC 39713 254 14 to to TO 39713 254 15 traverse traverse VB 39713 254 16 any any DT 39713 254 17 of of IN 39713 254 18 his -PRON- PRP$ 39713 254 19 special special JJ 39713 254 20 conclusions conclusion NNS 39713 254 21 regarding regard VBG 39713 254 22 this this DT 39713 254 23 matter matter NN 39713 254 24 . . . 39713 255 1 Yet yet CC 39713 255 2 I -PRON- PRP 39713 255 3 can can MD 39713 255 4 not not RB 39713 255 5 avoid avoid VB 39713 255 6 observing observe VBG 39713 255 7 that that IN 39713 255 8 , , , 39713 255 9 while while IN 39713 255 10 M. M. NNP 39713 255 11 Poincaré Poincaré NNP 39713 255 12 strictly strictly RB 39713 255 13 confines confine VBZ 39713 255 14 his -PRON- PRP$ 39713 255 15 illustrations illustration NNS 39713 255 16 and and CC 39713 255 17 his -PRON- PRP$ 39713 255 18 expressions expression NNS 39713 255 19 of of IN 39713 255 20 opinion opinion NN 39713 255 21 to to IN 39713 255 22 those those DT 39713 255 23 regions region NNS 39713 255 24 of of IN 39713 255 25 science science NN 39713 255 26 wherein wherein WRB 39713 255 27 , , , 39713 255 28 as as IN 39713 255 29 special special JJ 39713 255 30 investigator investigator NN 39713 255 31 , , , 39713 255 32 he -PRON- PRP 39713 255 33 is be VBZ 39713 255 34 himself -PRON- PRP 39713 255 35 most most RBS 39713 255 36 at at IN 39713 255 37 home home NN 39713 255 38 , , , 39713 255 39 the the DT 39713 255 40 issues issue NNS 39713 255 41 which which WDT 39713 255 42 he -PRON- PRP 39713 255 43 thus thus RB 39713 255 44 raises raise VBZ 39713 255 45 regarding regard VBG 39713 255 46 the the DT 39713 255 47 logic logic NN 39713 255 48 of of IN 39713 255 49 science science NN 39713 255 50 are be VBP 39713 255 51 of of IN 39713 255 52 even even RB 39713 255 53 more more RBR 39713 255 54 critical critical JJ 39713 255 55 importance importance NN 39713 255 56 and and CC 39713 255 57 of of IN 39713 255 58 more more RBR 39713 255 59 impressive impressive JJ 39713 255 60 interest interest NN 39713 255 61 when when WRB 39713 255 62 one one PRP 39713 255 63 applies apply VBZ 39713 255 64 M. M. NNP 39713 255 65 Poincaré Poincaré NNP 39713 255 66 's 's POS 39713 255 67 methods method NNS 39713 255 68 to to IN 39713 255 69 the the DT 39713 255 70 study study NN 39713 255 71 of of IN 39713 255 72 the the DT 39713 255 73 concepts concept NNS 39713 255 74 and and CC 39713 255 75 presuppositions presupposition NNS 39713 255 76 of of IN 39713 255 77 the the DT 39713 255 78 organic organic JJ 39713 255 79 and and CC 39713 255 80 of of IN 39713 255 81 the the DT 39713 255 82 historical historical JJ 39713 255 83 and and CC 39713 255 84 social social JJ 39713 255 85 sciences science NNS 39713 255 86 , , , 39713 255 87 than than IN 39713 255 88 when when WRB 39713 255 89 one one CD 39713 255 90 confines confine VBZ 39713 255 91 one one NN 39713 255 92 's 's POS 39713 255 93 attention attention NN 39713 255 94 , , , 39713 255 95 as as IN 39713 255 96 our -PRON- PRP$ 39713 255 97 author author NN 39713 255 98 here here RB 39713 255 99 does do VBZ 39713 255 100 , , , 39713 255 101 to to IN 39713 255 102 the the DT 39713 255 103 physical physical JJ 39713 255 104 sciences science NNS 39713 255 105 . . . 39713 256 1 It -PRON- PRP 39713 256 2 belongs belong VBZ 39713 256 3 to to IN 39713 256 4 the the DT 39713 256 5 province province NN 39713 256 6 of of IN 39713 256 7 an an DT 39713 256 8 introduction introduction NN 39713 256 9 like like IN 39713 256 10 the the DT 39713 256 11 present present NN 39713 256 12 to to TO 39713 256 13 point point VB 39713 256 14 out out RP 39713 256 15 , , , 39713 256 16 however however RB 39713 256 17 briefly briefly RB 39713 256 18 and and CC 39713 256 19 inadequately inadequately RB 39713 256 20 , , , 39713 256 21 that that IN 39713 256 22 the the DT 39713 256 23 significance significance NN 39713 256 24 of of IN 39713 256 25 our -PRON- PRP$ 39713 256 26 author author NN 39713 256 27 's 's POS 39713 256 28 ideas idea NNS 39713 256 29 extends extend VBZ 39713 256 30 far far RB 39713 256 31 beyond beyond IN 39713 256 32 the the DT 39713 256 33 scope scope NN 39713 256 34 to to TO 39713 256 35 which which WDT 39713 256 36 he -PRON- PRP 39713 256 37 chooses choose VBZ 39713 256 38 to to TO 39713 256 39 confine confine VB 39713 256 40 their -PRON- PRP$ 39713 256 41 discussion discussion NN 39713 256 42 . . . 39713 257 1 The the DT 39713 257 2 historical historical JJ 39713 257 3 sciences science NNS 39713 257 4 , , , 39713 257 5 and and CC 39713 257 6 in in IN 39713 257 7 fact fact NN 39713 257 8 all all PDT 39713 257 9 those those DT 39713 257 10 sciences science NNS 39713 257 11 such such JJ 39713 257 12 as as IN 39713 257 13 geology geology NN 39713 257 14 , , , 39713 257 15 and and CC 39713 257 16 such such JJ 39713 257 17 as as IN 39713 257 18 the the DT 39713 257 19 evolutionary evolutionary JJ 39713 257 20 sciences science NNS 39713 257 21 in in IN 39713 257 22 general general JJ 39713 257 23 , , , 39713 257 24 undertake undertake VBP 39713 257 25 theoretical theoretical JJ 39713 257 26 constructions construction NNS 39713 257 27 which which WDT 39713 257 28 relate relate VBP 39713 257 29 to to IN 39713 257 30 past past JJ 39713 257 31 time time NN 39713 257 32 . . . 39713 258 1 Hypotheses hypothesis NNS 39713 258 2 relating relate VBG 39713 258 3 to to IN 39713 258 4 the the DT 39713 258 5 more more RBR 39713 258 6 or or CC 39713 258 7 less less RBR 39713 258 8 remote remote JJ 39713 258 9 past past JJ 39713 258 10 stand stand NN 39713 258 11 , , , 39713 258 12 however however RB 39713 258 13 , , , 39713 258 14 in in IN 39713 258 15 a a DT 39713 258 16 position position NN 39713 258 17 which which WDT 39713 258 18 is be VBZ 39713 258 19 very very RB 39713 258 20 interesting interesting JJ 39713 258 21 from from IN 39713 258 22 the the DT 39713 258 23 point point NN 39713 258 24 of of IN 39713 258 25 view view NN 39713 258 26 of of IN 39713 258 27 the the DT 39713 258 28 logic logic NN 39713 258 29 of of IN 39713 258 30 science science NN 39713 258 31 . . . 39713 259 1 Directly directly RB 39713 259 2 speaking speak VBG 39713 259 3 , , , 39713 259 4 no no DT 39713 259 5 such such JJ 39713 259 6 hypothesis hypothesis NN 39713 259 7 is be VBZ 39713 259 8 capable capable JJ 39713 259 9 of of IN 39713 259 10 confirmation confirmation NN 39713 259 11 or or CC 39713 259 12 of of IN 39713 259 13 refutation refutation NN 39713 259 14 , , , 39713 259 15 because because IN 39713 259 16 we -PRON- PRP 39713 259 17 can can MD 39713 259 18 not not RB 39713 259 19 return return VB 39713 259 20 into into IN 39713 259 21 the the DT 39713 259 22 past past NN 39713 259 23 to to TO 39713 259 24 verify verify VB 39713 259 25 by by IN 39713 259 26 our -PRON- PRP$ 39713 259 27 own own JJ 39713 259 28 experience experience NN 39713 259 29 what what WP 39713 259 30 then then RB 39713 259 31 happened happen VBD 39713 259 32 . . . 39713 260 1 Yet yet RB 39713 260 2 indirectly indirectly RB 39713 260 3 , , , 39713 260 4 such such JJ 39713 260 5 hypotheses hypothesis NNS 39713 260 6 may may MD 39713 260 7 lead lead VB 39713 260 8 to to IN 39713 260 9 predictions prediction NNS 39713 260 10 of of IN 39713 260 11 coming come VBG 39713 260 12 experience experience NN 39713 260 13 . . . 39713 261 1 These these DT 39713 261 2 latter latter JJ 39713 261 3 will will MD 39713 261 4 be be VB 39713 261 5 subject subject JJ 39713 261 6 to to IN 39713 261 7 control control NN 39713 261 8 . . . 39713 262 1 Thus thus RB 39713 262 2 , , , 39713 262 3 Schliemann Schliemann NNP 39713 262 4 's 's POS 39713 262 5 confidence confidence NN 39713 262 6 that that IN 39713 262 7 the the DT 39713 262 8 legend legend NN 39713 262 9 of of IN 39713 262 10 Troy Troy NNP 39713 262 11 had have VBD 39713 262 12 a a DT 39713 262 13 definite definite JJ 39713 262 14 historical historical JJ 39713 262 15 foundation foundation NN 39713 262 16 led lead VBN 39713 262 17 to to IN 39713 262 18 predictions prediction NNS 39713 262 19 regarding regard VBG 39713 262 20 what what WP 39713 262 21 certain certain JJ 39713 262 22 excavations excavation NNS 39713 262 23 would would MD 39713 262 24 reveal reveal VB 39713 262 25 . . . 39713 263 1 In in IN 39713 263 2 a a DT 39713 263 3 sense sense NN 39713 263 4 somewhat somewhat RB 39713 263 5 different different JJ 39713 263 6 from from IN 39713 263 7 that that DT 39713 263 8 which which WDT 39713 263 9 filled fill VBD 39713 263 10 Schliemann Schliemann NNP 39713 263 11 's 's POS 39713 263 12 enthusiastic enthusiastic JJ 39713 263 13 mind mind NN 39713 263 14 , , , 39713 263 15 these these DT 39713 263 16 predictions prediction NNS 39713 263 17 proved prove VBD 39713 263 18 verifiable verifiable JJ 39713 263 19 . . . 39713 264 1 The the DT 39713 264 2 result result NN 39713 264 3 has have VBZ 39713 264 4 been be VBN 39713 264 5 a a DT 39713 264 6 considerable considerable JJ 39713 264 7 change change NN 39713 264 8 in in IN 39713 264 9 the the DT 39713 264 10 attitude attitude NN 39713 264 11 of of IN 39713 264 12 historians historian NNS 39713 264 13 toward toward IN 39713 264 14 the the DT 39713 264 15 legend legend NN 39713 264 16 of of IN 39713 264 17 Troy Troy NNP 39713 264 18 . . . 39713 265 1 Geological geological JJ 39713 265 2 investigation investigation NN 39713 265 3 leads lead VBZ 39713 265 4 to to IN 39713 265 5 predictions prediction NNS 39713 265 6 regarding regard VBG 39713 265 7 the the DT 39713 265 8 order order NN 39713 265 9 of of IN 39713 265 10 the the DT 39713 265 11 strata strata NN 39713 265 12 or or CC 39713 265 13 the the DT 39713 265 14 course course NN 39713 265 15 of of IN 39713 265 16 mineral mineral NN 39713 265 17 veins vein NNS 39713 265 18 in in IN 39713 265 19 a a DT 39713 265 20 district district NN 39713 265 21 , , , 39713 265 22 regarding regard VBG 39713 265 23 the the DT 39713 265 24 fossils fossil NNS 39713 265 25 which which WDT 39713 265 26 may may MD 39713 265 27 be be VB 39713 265 28 discovered discover VBN 39713 265 29 in in IN 39713 265 30 given give VBN 39713 265 31 formations formation NNS 39713 265 32 , , , 39713 265 33 and and CC 39713 265 34 so so RB 39713 265 35 on on RB 39713 265 36 . . . 39713 266 1 These these DT 39713 266 2 hypotheses hypothesis NNS 39713 266 3 are be VBP 39713 266 4 subject subject JJ 39713 266 5 to to IN 39713 266 6 the the DT 39713 266 7 control control NN 39713 266 8 of of IN 39713 266 9 experience experience NN 39713 266 10 . . . 39713 267 1 The the DT 39713 267 2 various various JJ 39713 267 3 theories theory NNS 39713 267 4 of of IN 39713 267 5 evolutionary evolutionary JJ 39713 267 6 doctrine doctrine NN 39713 267 7 include include VBP 39713 267 8 many many JJ 39713 267 9 hypotheses hypothesis NNS 39713 267 10 capable capable JJ 39713 267 11 of of IN 39713 267 12 confirmation confirmation NN 39713 267 13 and and CC 39713 267 14 of of IN 39713 267 15 refutation refutation NN 39713 267 16 by by IN 39713 267 17 empirical empirical JJ 39713 267 18 tests test NNS 39713 267 19 . . . 39713 268 1 Yet yet RB 39713 268 2 , , , 39713 268 3 despite despite IN 39713 268 4 all all DT 39713 268 5 such such JJ 39713 268 6 empirical empirical JJ 39713 268 7 control control NN 39713 268 8 , , , 39713 268 9 it -PRON- PRP 39713 268 10 still still RB 39713 268 11 remains remain VBZ 39713 268 12 true true JJ 39713 268 13 that that IN 39713 268 14 whenever whenever WRB 39713 268 15 a a DT 39713 268 16 science science NN 39713 268 17 is be VBZ 39713 268 18 mainly mainly RB 39713 268 19 concerned concerned JJ 39713 268 20 with with IN 39713 268 21 the the DT 39713 268 22 remote remote JJ 39713 268 23 past past NN 39713 268 24 , , , 39713 268 25 whether whether IN 39713 268 26 this this DT 39713 268 27 science science NN 39713 268 28 be be VBP 39713 268 29 archeology archeology NN 39713 268 30 , , , 39713 268 31 or or CC 39713 268 32 geology geology NN 39713 268 33 , , , 39713 268 34 or or CC 39713 268 35 anthropology anthropology NN 39713 268 36 , , , 39713 268 37 or or CC 39713 268 38 Old Old NNP 39713 268 39 Testament Testament NNP 39713 268 40 history history NN 39713 268 41 , , , 39713 268 42 the the DT 39713 268 43 principal principal JJ 39713 268 44 theoretical theoretical JJ 39713 268 45 constructions construction NNS 39713 268 46 always always RB 39713 268 47 include include VBP 39713 268 48 features feature NNS 39713 268 49 which which WDT 39713 268 50 no no DT 39713 268 51 appeal appeal NN 39713 268 52 to to TO 39713 268 53 present present VB 39713 268 54 or or CC 39713 268 55 to to IN 39713 268 56 accessible accessible JJ 39713 268 57 future future JJ 39713 268 58 experience experience NN 39713 268 59 can can MD 39713 268 60 ever ever RB 39713 268 61 definitely definitely RB 39713 268 62 test test VB 39713 268 63 . . . 39713 269 1 Hence hence RB 39713 269 2 the the DT 39713 269 3 suspicion suspicion NN 39713 269 4 with with IN 39713 269 5 which which WDT 39713 269 6 students student NNS 39713 269 7 of of IN 39713 269 8 experimental experimental JJ 39713 269 9 science science NN 39713 269 10 often often RB 39713 269 11 regard regard VBP 39713 269 12 the the DT 39713 269 13 theoretical theoretical JJ 39713 269 14 constructions construction NNS 39713 269 15 of of IN 39713 269 16 their -PRON- PRP$ 39713 269 17 confrères confrère NNS 39713 269 18 of of IN 39713 269 19 the the DT 39713 269 20 sciences science NNS 39713 269 21 that that WDT 39713 269 22 deal deal VBP 39713 269 23 with with IN 39713 269 24 the the DT 39713 269 25 past past NN 39713 269 26 . . . 39713 270 1 The the DT 39713 270 2 origin origin NN 39713 270 3 of of IN 39713 270 4 the the DT 39713 270 5 races race NNS 39713 270 6 of of IN 39713 270 7 men man NNS 39713 270 8 , , , 39713 270 9 of of IN 39713 270 10 man man NN 39713 270 11 himself -PRON- PRP 39713 270 12 , , , 39713 270 13 of of IN 39713 270 14 life life NN 39713 270 15 , , , 39713 270 16 of of IN 39713 270 17 species specie NNS 39713 270 18 , , , 39713 270 19 of of IN 39713 270 20 the the DT 39713 270 21 planet planet NN 39713 270 22 ; ; : 39713 270 23 the the DT 39713 270 24 hypotheses hypothesis NNS 39713 270 25 of of IN 39713 270 26 anthropologists anthropologist NNS 39713 270 27 , , , 39713 270 28 of of IN 39713 270 29 archeologists archeologist NNS 39713 270 30 , , , 39713 270 31 of of IN 39713 270 32 students student NNS 39713 270 33 of of IN 39713 270 34 ' ' `` 39713 270 35 higher high JJR 39713 270 36 criticism'--all criticism'--all NN 39713 270 37 these these DT 39713 270 38 are be VBP 39713 270 39 matters matter NNS 39713 270 40 which which WDT 39713 270 41 the the DT 39713 270 42 men man NNS 39713 270 43 of of IN 39713 270 44 the the DT 39713 270 45 laboratory laboratory NN 39713 270 46 often often RB 39713 270 47 regard regard VBP 39713 270 48 with with IN 39713 270 49 a a DT 39713 270 50 general general JJ 39713 270 51 incredulity incredulity NN 39713 270 52 as as IN 39713 270 53 belonging belong VBG 39713 270 54 not not RB 39713 270 55 at at RB 39713 270 56 all all RB 39713 270 57 to to IN 39713 270 58 the the DT 39713 270 59 domain domain NN 39713 270 60 of of IN 39713 270 61 true true JJ 39713 270 62 science science NN 39713 270 63 . . . 39713 271 1 Yet yet RB 39713 271 2 no no DT 39713 271 3 one one NN 39713 271 4 can can MD 39713 271 5 doubt doubt VB 39713 271 6 the the DT 39713 271 7 importance importance NN 39713 271 8 and and CC 39713 271 9 the the DT 39713 271 10 inevitableness inevitableness NN 39713 271 11 of of IN 39713 271 12 endeavoring endeavor VBG 39713 271 13 to to TO 39713 271 14 apply apply VB 39713 271 15 scientific scientific JJ 39713 271 16 method method NN 39713 271 17 to to IN 39713 271 18 these these DT 39713 271 19 regions region NNS 39713 271 20 also also RB 39713 271 21 . . . 39713 272 1 Science science NN 39713 272 2 needs need VBZ 39713 272 3 theories theory NNS 39713 272 4 regarding regard VBG 39713 272 5 the the DT 39713 272 6 past past JJ 39713 272 7 history history NN 39713 272 8 of of IN 39713 272 9 the the DT 39713 272 10 world world NN 39713 272 11 . . . 39713 273 1 And and CC 39713 273 2 no no DT 39713 273 3 one one NN 39713 273 4 who who WP 39713 273 5 looks look VBZ 39713 273 6 closer close RBR 39713 273 7 into into IN 39713 273 8 the the DT 39713 273 9 methods method NNS 39713 273 10 of of IN 39713 273 11 these these DT 39713 273 12 sciences science NNS 39713 273 13 of of IN 39713 273 14 past past JJ 39713 273 15 time time NN 39713 273 16 can can MD 39713 273 17 doubt doubt VB 39713 273 18 that that IN 39713 273 19 verifiable verifiable JJ 39713 273 20 and and CC 39713 273 21 unverifiable unverifiable JJ 39713 273 22 hypotheses hypothesis NNS 39713 273 23 are be VBP 39713 273 24 in in IN 39713 273 25 all all PDT 39713 273 26 these these DT 39713 273 27 regions region NNS 39713 273 28 inevitably inevitably RB 39713 273 29 interwoven interwoven RB 39713 273 30 ; ; : 39713 273 31 so so IN 39713 273 32 that that IN 39713 273 33 , , , 39713 273 34 while while IN 39713 273 35 experience experience NN 39713 273 36 is be VBZ 39713 273 37 always always RB 39713 273 38 the the DT 39713 273 39 guide guide NN 39713 273 40 , , , 39713 273 41 the the DT 39713 273 42 attitude attitude NN 39713 273 43 of of IN 39713 273 44 the the DT 39713 273 45 investigator investigator NN 39713 273 46 towards towards IN 39713 273 47 experience experience NN 39713 273 48 is be VBZ 39713 273 49 determined determine VBN 39713 273 50 by by IN 39713 273 51 interests interest NNS 39713 273 52 which which WDT 39713 273 53 have have VBP 39713 273 54 to to TO 39713 273 55 be be VB 39713 273 56 partially partially RB 39713 273 57 due due JJ 39713 273 58 to to IN 39713 273 59 what what WP 39713 273 60 I -PRON- PRP 39713 273 61 should should MD 39713 273 62 call call VB 39713 273 63 that that DT 39713 273 64 ' ' `` 39713 273 65 internal internal JJ 39713 273 66 meaning meaning NN 39713 273 67 , , , 39713 273 68 ' ' '' 39713 273 69 that that DT 39713 273 70 human human JJ 39713 273 71 interest interest NN 39713 273 72 in in IN 39713 273 73 rational rational JJ 39713 273 74 theoretical theoretical JJ 39713 273 75 construction construction NN 39713 273 76 which which WDT 39713 273 77 inspires inspire VBZ 39713 273 78 the the DT 39713 273 79 scientific scientific JJ 39713 273 80 inquiry inquiry NN 39713 273 81 ; ; : 39713 273 82 and and CC 39713 273 83 the the DT 39713 273 84 theoretical theoretical JJ 39713 273 85 constructions construction NNS 39713 273 86 which which WDT 39713 273 87 prevail prevail VBP 39713 273 88 in in IN 39713 273 89 such such JJ 39713 273 90 sciences science NNS 39713 273 91 are be VBP 39713 273 92 neither neither CC 39713 273 93 unbiased unbiased JJ 39713 273 94 reports report NNS 39713 273 95 of of IN 39713 273 96 the the DT 39713 273 97 actual actual JJ 39713 273 98 constitution constitution NN 39713 273 99 of of IN 39713 273 100 an an DT 39713 273 101 external external JJ 39713 273 102 reality reality NN 39713 273 103 , , , 39713 273 104 nor nor CC 39713 273 105 yet yet RB 39713 273 106 arbitrary arbitrary JJ 39713 273 107 constructions construction NNS 39713 273 108 of of IN 39713 273 109 fancy fancy NN 39713 273 110 . . . 39713 274 1 These these DT 39713 274 2 constructions construction NNS 39713 274 3 in in IN 39713 274 4 fact fact NN 39713 274 5 resemble resemble JJ 39713 274 6 in in IN 39713 274 7 a a DT 39713 274 8 measure measure NN 39713 274 9 those those DT 39713 274 10 which which WDT 39713 274 11 M. M. NNP 39713 274 12 Poincaré Poincaré NNP 39713 274 13 in in IN 39713 274 14 this this DT 39713 274 15 book book NN 39713 274 16 has have VBZ 39713 274 17 analyzed analyze VBN 39713 274 18 in in IN 39713 274 19 the the DT 39713 274 20 case case NN 39713 274 21 of of IN 39713 274 22 geometry geometry NN 39713 274 23 . . . 39713 275 1 They -PRON- PRP 39713 275 2 are be VBP 39713 275 3 constructions construction NNS 39713 275 4 molded mold VBN 39713 275 5 , , , 39713 275 6 but but CC 39713 275 7 _ _ NNP 39713 275 8 not not RB 39713 275 9 _ _ NNP 39713 275 10 predetermined predetermine VBD 39713 275 11 in in IN 39713 275 12 their -PRON- PRP$ 39713 275 13 details detail NNS 39713 275 14 , , , 39713 275 15 by by IN 39713 275 16 experience experience NN 39713 275 17 . . . 39713 276 1 We -PRON- PRP 39713 276 2 report report VBP 39713 276 3 facts fact NNS 39713 276 4 ; ; : 39713 276 5 we -PRON- PRP 39713 276 6 let let VBP 39713 276 7 the the DT 39713 276 8 facts fact NNS 39713 276 9 speak speak VB 39713 276 10 ; ; : 39713 276 11 but but CC 39713 276 12 we -PRON- PRP 39713 276 13 , , , 39713 276 14 as as IN 39713 276 15 we -PRON- PRP 39713 276 16 investigate investigate VBP 39713 276 17 , , , 39713 276 18 in in IN 39713 276 19 the the DT 39713 276 20 popular popular JJ 39713 276 21 phrase phrase NN 39713 276 22 , , , 39713 276 23 ' ' `` 39713 276 24 talk talk VB 39713 276 25 back back RB 39713 276 26 ' ' '' 39713 276 27 to to IN 39713 276 28 the the DT 39713 276 29 facts fact NNS 39713 276 30 . . . 39713 277 1 We -PRON- PRP 39713 277 2 interpret interpret VBP 39713 277 3 as as RB 39713 277 4 well well RB 39713 277 5 as as IN 39713 277 6 report report NN 39713 277 7 . . . 39713 278 1 Man man NN 39713 278 2 is be VBZ 39713 278 3 not not RB 39713 278 4 merely merely RB 39713 278 5 made make VBN 39713 278 6 for for IN 39713 278 7 science science NN 39713 278 8 , , , 39713 278 9 but but CC 39713 278 10 science science NN 39713 278 11 is be VBZ 39713 278 12 made make VBN 39713 278 13 for for IN 39713 278 14 man man NN 39713 278 15 . . . 39713 279 1 It -PRON- PRP 39713 279 2 expresses express VBZ 39713 279 3 his -PRON- PRP$ 39713 279 4 deepest deep JJS 39713 279 5 intellectual intellectual JJ 39713 279 6 needs need NNS 39713 279 7 , , , 39713 279 8 as as RB 39713 279 9 well well RB 39713 279 10 as as IN 39713 279 11 his -PRON- PRP$ 39713 279 12 careful careful JJ 39713 279 13 observations observation NNS 39713 279 14 . . . 39713 280 1 It -PRON- PRP 39713 280 2 is be VBZ 39713 280 3 an an DT 39713 280 4 effort effort NN 39713 280 5 to to TO 39713 280 6 bring bring VB 39713 280 7 internal internal JJ 39713 280 8 meanings meaning NNS 39713 280 9 into into IN 39713 280 10 harmony harmony NN 39713 280 11 with with IN 39713 280 12 external external JJ 39713 280 13 verifications verification NNS 39713 280 14 . . . 39713 281 1 It -PRON- PRP 39713 281 2 attempts attempt VBZ 39713 281 3 therefore therefore RB 39713 281 4 to to TO 39713 281 5 control control VB 39713 281 6 , , , 39713 281 7 as as RB 39713 281 8 well well RB 39713 281 9 as as IN 39713 281 10 to to TO 39713 281 11 submit submit VB 39713 281 12 , , , 39713 281 13 to to TO 39713 281 14 conceive conceive VB 39713 281 15 with with IN 39713 281 16 rational rational JJ 39713 281 17 unity unity NN 39713 281 18 , , , 39713 281 19 as as RB 39713 281 20 well well RB 39713 281 21 as as IN 39713 281 22 to to TO 39713 281 23 accept accept VB 39713 281 24 data datum NNS 39713 281 25 . . . 39713 282 1 Its -PRON- PRP$ 39713 282 2 arts art NNS 39713 282 3 are be VBP 39713 282 4 those those DT 39713 282 5 directed direct VBN 39713 282 6 towards towards IN 39713 282 7 self self NN 39713 282 8 - - HYPH 39713 282 9 possession possession NN 39713 282 10 as as RB 39713 282 11 well well RB 39713 282 12 as as IN 39713 282 13 towards towards IN 39713 282 14 an an DT 39713 282 15 imitation imitation NN 39713 282 16 of of IN 39713 282 17 the the DT 39713 282 18 outer outer JJ 39713 282 19 reality reality NN 39713 282 20 which which WDT 39713 282 21 we -PRON- PRP 39713 282 22 find find VBP 39713 282 23 . . . 39713 283 1 It -PRON- PRP 39713 283 2 seeks seek VBZ 39713 283 3 therefore therefore RB 39713 283 4 a a DT 39713 283 5 disciplined discipline VBN 39713 283 6 freedom freedom NN 39713 283 7 of of IN 39713 283 8 thought thought NN 39713 283 9 . . . 39713 284 1 The the DT 39713 284 2 discipline discipline NN 39713 284 3 is be VBZ 39713 284 4 as as RB 39713 284 5 essential essential JJ 39713 284 6 as as IN 39713 284 7 the the DT 39713 284 8 freedom freedom NN 39713 284 9 ; ; : 39713 284 10 but but CC 39713 284 11 the the DT 39713 284 12 latter latter NN 39713 284 13 has have VBZ 39713 284 14 also also RB 39713 284 15 its -PRON- PRP$ 39713 284 16 place place NN 39713 284 17 . . . 39713 285 1 The the DT 39713 285 2 theories theory NNS 39713 285 3 of of IN 39713 285 4 science science NN 39713 285 5 are be VBP 39713 285 6 human human JJ 39713 285 7 , , , 39713 285 8 as as RB 39713 285 9 well well RB 39713 285 10 as as IN 39713 285 11 objective objective JJ 39713 285 12 , , , 39713 285 13 internally internally RB 39713 285 14 rational rational JJ 39713 285 15 , , , 39713 285 16 as as RB 39713 285 17 well well RB 39713 285 18 as as IN 39713 285 19 ( ( -LRB- 39713 285 20 when when WRB 39713 285 21 that that DT 39713 285 22 is be VBZ 39713 285 23 possible possible JJ 39713 285 24 ) ) -RRB- 39713 285 25 subject subject JJ 39713 285 26 to to IN 39713 285 27 external external JJ 39713 285 28 tests test NNS 39713 285 29 . . . 39713 286 1 In in IN 39713 286 2 a a DT 39713 286 3 field field NN 39713 286 4 very very RB 39713 286 5 different different JJ 39713 286 6 from from IN 39713 286 7 that that DT 39713 286 8 of of IN 39713 286 9 the the DT 39713 286 10 historical historical JJ 39713 286 11 sciences science NNS 39713 286 12 , , , 39713 286 13 namely namely RB 39713 286 14 , , , 39713 286 15 in in IN 39713 286 16 a a DT 39713 286 17 science science NN 39713 286 18 of of IN 39713 286 19 observation observation NN 39713 286 20 and and CC 39713 286 21 of of IN 39713 286 22 experiment experiment NN 39713 286 23 , , , 39713 286 24 which which WDT 39713 286 25 is be VBZ 39713 286 26 at at IN 39713 286 27 the the DT 39713 286 28 same same JJ 39713 286 29 time time NN 39713 286 30 an an DT 39713 286 31 organic organic JJ 39713 286 32 science science NN 39713 286 33 , , , 39713 286 34 I -PRON- PRP 39713 286 35 have have VBP 39713 286 36 been be VBN 39713 286 37 led lead VBN 39713 286 38 in in IN 39713 286 39 the the DT 39713 286 40 course course NN 39713 286 41 of of IN 39713 286 42 some some DT 39713 286 43 study study NN 39713 286 44 of of IN 39713 286 45 the the DT 39713 286 46 history history NN 39713 286 47 of of IN 39713 286 48 certain certain JJ 39713 286 49 researches research NNS 39713 286 50 to to TO 39713 286 51 notice notice VB 39713 286 52 the the DT 39713 286 53 existence existence NN 39713 286 54 of of IN 39713 286 55 a a DT 39713 286 56 theoretical theoretical JJ 39713 286 57 conception conception NN 39713 286 58 which which WDT 39713 286 59 has have VBZ 39713 286 60 proved prove VBN 39713 286 61 extremely extremely RB 39713 286 62 fruitful fruitful JJ 39713 286 63 in in IN 39713 286 64 guiding guide VBG 39713 286 65 research research NN 39713 286 66 , , , 39713 286 67 but but CC 39713 286 68 which which WDT 39713 286 69 apparently apparently RB 39713 286 70 resembles resemble VBZ 39713 286 71 in in IN 39713 286 72 a a DT 39713 286 73 measure measure NN 39713 286 74 the the DT 39713 286 75 type type NN 39713 286 76 of of IN 39713 286 77 hypotheses hypothesis NNS 39713 286 78 of of IN 39713 286 79 which which WDT 39713 286 80 M. M. NNP 39713 286 81 Poincaré Poincaré NNP 39713 286 82 speaks speak VBZ 39713 286 83 when when WRB 39713 286 84 he -PRON- PRP 39713 286 85 characterizes characterize VBZ 39713 286 86 the the DT 39713 286 87 principles principle NNS 39713 286 88 of of IN 39713 286 89 mechanics mechanic NNS 39713 286 90 and and CC 39713 286 91 of of IN 39713 286 92 the the DT 39713 286 93 theory theory NN 39713 286 94 of of IN 39713 286 95 energy energy NN 39713 286 96 . . . 39713 287 1 I -PRON- PRP 39713 287 2 venture venture VBP 39713 287 3 to to TO 39713 287 4 call call VB 39713 287 5 attention attention NN 39713 287 6 here here RB 39713 287 7 to to IN 39713 287 8 this this DT 39713 287 9 conception conception NN 39713 287 10 , , , 39713 287 11 which which WDT 39713 287 12 seems seem VBZ 39713 287 13 to to IN 39713 287 14 me -PRON- PRP 39713 287 15 to to TO 39713 287 16 illustrate illustrate VB 39713 287 17 M. M. NNP 39713 287 18 Poincaré Poincaré NNP 39713 287 19 's 's POS 39713 287 20 view view NN 39713 287 21 of of IN 39713 287 22 the the DT 39713 287 23 functions function NNS 39713 287 24 of of IN 39713 287 25 hypothesis hypothesis NN 39713 287 26 in in IN 39713 287 27 scientific scientific JJ 39713 287 28 work work NN 39713 287 29 . . . 39713 288 1 The the DT 39713 288 2 modern modern JJ 39713 288 3 science science NN 39713 288 4 of of IN 39713 288 5 pathology pathology NN 39713 288 6 is be VBZ 39713 288 7 usually usually RB 39713 288 8 regarded regard VBN 39713 288 9 as as IN 39713 288 10 dating date VBG 39713 288 11 from from IN 39713 288 12 the the DT 39713 288 13 earlier early JJR 39713 288 14 researches research NNS 39713 288 15 of of IN 39713 288 16 Virchow Virchow NNP 39713 288 17 , , , 39713 288 18 whose whose WP$ 39713 288 19 ' ' `` 39713 288 20 Cellular Cellular NNP 39713 288 21 Pathology Pathology NNP 39713 288 22 ' ' '' 39713 288 23 was be VBD 39713 288 24 the the DT 39713 288 25 outcome outcome NN 39713 288 26 of of IN 39713 288 27 a a DT 39713 288 28 very very RB 39713 288 29 careful careful JJ 39713 288 30 and and CC 39713 288 31 elaborate elaborate JJ 39713 288 32 induction induction NN 39713 288 33 . . . 39713 289 1 Virchow Virchow NNP 39713 289 2 , , , 39713 289 3 himself -PRON- PRP 39713 289 4 , , , 39713 289 5 felt feel VBD 39713 289 6 a a DT 39713 289 7 strong strong JJ 39713 289 8 aversion aversion NN 39713 289 9 to to IN 39713 289 10 mere mere JJ 39713 289 11 speculation speculation NN 39713 289 12 . . . 39713 290 1 He -PRON- PRP 39713 290 2 endeavored endeavor VBD 39713 290 3 to to TO 39713 290 4 keep keep VB 39713 290 5 close close RB 39713 290 6 to to IN 39713 290 7 observation observation NN 39713 290 8 , , , 39713 290 9 and and CC 39713 290 10 to to TO 39713 290 11 relieve relieve VB 39713 290 12 medical medical JJ 39713 290 13 science science NN 39713 290 14 from from IN 39713 290 15 the the DT 39713 290 16 control control NN 39713 290 17 of of IN 39713 290 18 fantastic fantastic JJ 39713 290 19 theories theory NNS 39713 290 20 , , , 39713 290 21 such such JJ 39713 290 22 as as IN 39713 290 23 those those DT 39713 290 24 of of IN 39713 290 25 the the DT 39713 290 26 _ _ NNP 39713 290 27 Naturphilosophen Naturphilosophen NNP 39713 290 28 _ _ NNP 39713 290 29 had have VBD 39713 290 30 been be VBN 39713 290 31 . . . 39713 291 1 Yet yet CC 39713 291 2 Virchow Virchow NNP 39713 291 3 's 's POS 39713 291 4 researches research NNS 39713 291 5 were be VBD 39713 291 6 , , , 39713 291 7 as as RB 39713 291 8 early early RB 39713 291 9 as as IN 39713 291 10 1847 1847 CD 39713 291 11 , , , 39713 291 12 or or CC 39713 291 13 still still RB 39713 291 14 earlier early RBR 39713 291 15 , , , 39713 291 16 already already RB 39713 291 17 under under IN 39713 291 18 the the DT 39713 291 19 guidance guidance NN 39713 291 20 of of IN 39713 291 21 a a DT 39713 291 22 theoretical theoretical JJ 39713 291 23 presupposition presupposition NN 39713 291 24 which which WDT 39713 291 25 he -PRON- PRP 39713 291 26 himself -PRON- PRP 39713 291 27 states state VBZ 39713 291 28 as as IN 39713 291 29 follows follow VBZ 39713 291 30 : : : 39713 291 31 " " `` 39713 291 32 We -PRON- PRP 39713 291 33 have have VBP 39713 291 34 learned learn VBN 39713 291 35 to to TO 39713 291 36 recognize recognize VB 39713 291 37 , , , 39713 291 38 " " '' 39713 291 39 he -PRON- PRP 39713 291 40 says say VBZ 39713 291 41 , , , 39713 291 42 " " `` 39713 291 43 that that IN 39713 291 44 diseases disease NNS 39713 291 45 are be VBP 39713 291 46 not not RB 39713 291 47 autonomous autonomous JJ 39713 291 48 organisms organism NNS 39713 291 49 , , , 39713 291 50 that that IN 39713 291 51 they -PRON- PRP 39713 291 52 are be VBP 39713 291 53 no no DT 39713 291 54 entities entity NNS 39713 291 55 that that WDT 39713 291 56 have have VBP 39713 291 57 entered enter VBN 39713 291 58 into into IN 39713 291 59 the the DT 39713 291 60 body body NN 39713 291 61 , , , 39713 291 62 that that IN 39713 291 63 they -PRON- PRP 39713 291 64 are be VBP 39713 291 65 no no DT 39713 291 66 parasites parasite NNS 39713 291 67 which which WDT 39713 291 68 take take VBP 39713 291 69 root root NN 39713 291 70 in in IN 39713 291 71 the the DT 39713 291 72 body body NN 39713 291 73 , , , 39713 291 74 but but CC 39713 291 75 _ _ NNP 39713 291 76 that that IN 39713 291 77 they -PRON- PRP 39713 291 78 merely merely RB 39713 291 79 show show VBP 39713 291 80 us -PRON- PRP 39713 291 81 the the DT 39713 291 82 course course NN 39713 291 83 of of IN 39713 291 84 the the DT 39713 291 85 vital vital JJ 39713 291 86 processes process NNS 39713 291 87 under under IN 39713 291 88 altered alter VBN 39713 291 89 conditions condition NNS 39713 291 90 _ _ NNP 39713 291 91 " " '' 39713 291 92 ( ( -LRB- 39713 291 93 ' ' `` 39713 291 94 dasz dasz JJ 39713 291 95 sie sie NN 39713 291 96 nur nur NNP 39713 291 97 Ablauf Ablauf NNP 39713 291 98 der der VBD 39713 291 99 Lebenserscheinungen Lebenserscheinungen NNP 39713 291 100 unter unter NN 39713 291 101 veränderten veränderten VBD 39713 291 102 Bedingungen Bedingungen NNP 39713 291 103 darstellen darstellen NN 39713 291 104 ' ' '' 39713 291 105 ) ) -RRB- 39713 291 106 . . . 39713 292 1 The the DT 39713 292 2 enormous enormous JJ 39713 292 3 importance importance NN 39713 292 4 of of IN 39713 292 5 this this DT 39713 292 6 theoretical theoretical JJ 39713 292 7 presupposition presupposition NN 39713 292 8 for for IN 39713 292 9 all all PDT 39713 292 10 the the DT 39713 292 11 early early JJ 39713 292 12 successes success NNS 39713 292 13 of of IN 39713 292 14 modern modern JJ 39713 292 15 pathological pathological JJ 39713 292 16 investigation investigation NN 39713 292 17 is be VBZ 39713 292 18 generally generally RB 39713 292 19 recognized recognize VBN 39713 292 20 by by IN 39713 292 21 the the DT 39713 292 22 experts expert NNS 39713 292 23 . . . 39713 293 1 I -PRON- PRP 39713 293 2 do do VBP 39713 293 3 not not RB 39713 293 4 doubt doubt VB 39713 293 5 this this DT 39713 293 6 opinion opinion NN 39713 293 7 . . . 39713 294 1 It -PRON- PRP 39713 294 2 appears appear VBZ 39713 294 3 to to TO 39713 294 4 be be VB 39713 294 5 a a DT 39713 294 6 commonplace commonplace NN 39713 294 7 of of IN 39713 294 8 the the DT 39713 294 9 history history NN 39713 294 10 of of IN 39713 294 11 this this DT 39713 294 12 science science NN 39713 294 13 . . . 39713 295 1 But but CC 39713 295 2 in in IN 39713 295 3 Virchow Virchow NNP 39713 295 4 's 's POS 39713 295 5 later later JJ 39713 295 6 years year NNS 39713 295 7 this this DT 39713 295 8 very very JJ 39713 295 9 presupposition presupposition NN 39713 295 10 seemed seem VBD 39713 295 11 to to IN 39713 295 12 some some DT 39713 295 13 of of IN 39713 295 14 his -PRON- PRP$ 39713 295 15 contemporaries contemporary NNS 39713 295 16 to to TO 39713 295 17 be be VB 39713 295 18 called call VBN 39713 295 19 in in IN 39713 295 20 question question NN 39713 295 21 by by IN 39713 295 22 the the DT 39713 295 23 successes success NNS 39713 295 24 of of IN 39713 295 25 recent recent JJ 39713 295 26 bacteriology bacteriology NN 39713 295 27 . . . 39713 296 1 The the DT 39713 296 2 question question NN 39713 296 3 arose arise VBD 39713 296 4 whether whether IN 39713 296 5 the the DT 39713 296 6 theoretical theoretical JJ 39713 296 7 foundations foundation NNS 39713 296 8 of of IN 39713 296 9 Virchow Virchow NNP 39713 296 10 's 's POS 39713 296 11 pathology pathology NN 39713 296 12 had have VBD 39713 296 13 not not RB 39713 296 14 been be VBN 39713 296 15 set set VBN 39713 296 16 aside aside RB 39713 296 17 . . . 39713 297 1 And and CC 39713 297 2 in in IN 39713 297 3 fact fact NN 39713 297 4 the the DT 39713 297 5 theory theory NN 39713 297 6 of of IN 39713 297 7 the the DT 39713 297 8 parasitical parasitical JJ 39713 297 9 origin origin NN 39713 297 10 of of IN 39713 297 11 a a DT 39713 297 12 vast vast JJ 39713 297 13 number number NN 39713 297 14 of of IN 39713 297 15 diseased disease VBN 39713 297 16 conditions condition NNS 39713 297 17 has have VBZ 39713 297 18 indeed indeed RB 39713 297 19 come come VBN 39713 297 20 upon upon IN 39713 297 21 an an DT 39713 297 22 empirical empirical JJ 39713 297 23 basis basis NN 39713 297 24 to to TO 39713 297 25 be be VB 39713 297 26 generally generally RB 39713 297 27 recognized recognize VBN 39713 297 28 . . . 39713 298 1 Yet yet CC 39713 298 2 to to IN 39713 298 3 the the DT 39713 298 4 end end NN 39713 298 5 of of IN 39713 298 6 his -PRON- PRP$ 39713 298 7 own own JJ 39713 298 8 career career NN 39713 298 9 Virchow Virchow NNP 39713 298 10 stoutly stoutly RB 39713 298 11 maintained maintain VBD 39713 298 12 that that IN 39713 298 13 in in IN 39713 298 14 all all DT 39713 298 15 its -PRON- PRP$ 39713 298 16 essential essential JJ 39713 298 17 significance significance NN 39713 298 18 his -PRON- PRP$ 39713 298 19 own own JJ 39713 298 20 fundamental fundamental JJ 39713 298 21 principle principle NN 39713 298 22 remained remain VBD 39713 298 23 quite quite RB 39713 298 24 untouched untouched JJ 39713 298 25 by by IN 39713 298 26 the the DT 39713 298 27 newer new JJR 39713 298 28 discoveries discovery NNS 39713 298 29 . . . 39713 299 1 And and CC 39713 299 2 , , , 39713 299 3 as as IN 39713 299 4 a a DT 39713 299 5 fact fact NN 39713 299 6 , , , 39713 299 7 this this DT 39713 299 8 view view NN 39713 299 9 could could MD 39713 299 10 indeed indeed RB 39713 299 11 be be VB 39713 299 12 maintained maintain VBN 39713 299 13 . . . 39713 300 1 For for IN 39713 300 2 if if IN 39713 300 3 diseases disease NNS 39713 300 4 proved prove VBD 39713 300 5 to to TO 39713 300 6 be be VB 39713 300 7 the the DT 39713 300 8 consequences consequence NNS 39713 300 9 of of IN 39713 300 10 the the DT 39713 300 11 presence presence NN 39713 300 12 of of IN 39713 300 13 parasites parasite NNS 39713 300 14 , , , 39713 300 15 the the DT 39713 300 16 diseases disease NNS 39713 300 17 themselves -PRON- PRP 39713 300 18 , , , 39713 300 19 so so RB 39713 300 20 far far RB 39713 300 21 as as IN 39713 300 22 they -PRON- PRP 39713 300 23 belonged belong VBD 39713 300 24 to to IN 39713 300 25 the the DT 39713 300 26 diseased diseased JJ 39713 300 27 organism organism NN 39713 300 28 , , , 39713 300 29 were be VBD 39713 300 30 still still RB 39713 300 31 not not RB 39713 300 32 the the DT 39713 300 33 parasites parasite NNS 39713 300 34 , , , 39713 300 35 but but CC 39713 300 36 were be VBD 39713 300 37 , , , 39713 300 38 as as IN 39713 300 39 before before RB 39713 300 40 , , , 39713 300 41 the the DT 39713 300 42 reaction reaction NN 39713 300 43 of of IN 39713 300 44 the the DT 39713 300 45 organism organism NN 39713 300 46 to to IN 39713 300 47 the the DT 39713 300 48 _ _ NNP 39713 300 49 veränderte veränderte NNP 39713 300 50 Bedingungen Bedingungen NNP 39713 300 51 _ _ NNP 39713 300 52 which which WDT 39713 300 53 the the DT 39713 300 54 presence presence NN 39713 300 55 of of IN 39713 300 56 the the DT 39713 300 57 parasites parasite NNS 39713 300 58 entailed entail VBD 39713 300 59 . . . 39713 301 1 So so RB 39713 301 2 Virchow Virchow NNP 39713 301 3 could could MD 39713 301 4 well well RB 39713 301 5 insist insist VB 39713 301 6 . . . 39713 302 1 And and CC 39713 302 2 if if IN 39713 302 3 the the DT 39713 302 4 famous famous JJ 39713 302 5 principle principle NN 39713 302 6 in in IN 39713 302 7 question question NN 39713 302 8 is be VBZ 39713 302 9 only only RB 39713 302 10 stated state VBN 39713 302 11 with with IN 39713 302 12 sufficient sufficient JJ 39713 302 13 generality generality NN 39713 302 14 , , , 39713 302 15 it -PRON- PRP 39713 302 16 amounts amount VBZ 39713 302 17 simply simply RB 39713 302 18 to to IN 39713 302 19 saying say VBG 39713 302 20 that that IN 39713 302 21 if if IN 39713 302 22 a a DT 39713 302 23 disease disease NN 39713 302 24 involves involve VBZ 39713 302 25 a a DT 39713 302 26 change change NN 39713 302 27 in in IN 39713 302 28 an an DT 39713 302 29 organism organism NN 39713 302 30 , , , 39713 302 31 and and CC 39713 302 32 if if IN 39713 302 33 this this DT 39713 302 34 change change NN 39713 302 35 is be VBZ 39713 302 36 subject subject JJ 39713 302 37 to to IN 39713 302 38 law law NN 39713 302 39 at at RB 39713 302 40 all all RB 39713 302 41 , , , 39713 302 42 then then RB 39713 302 43 the the DT 39713 302 44 nature nature NN 39713 302 45 of of IN 39713 302 46 the the DT 39713 302 47 organism organism NN 39713 302 48 and and CC 39713 302 49 the the DT 39713 302 50 reaction reaction NN 39713 302 51 of of IN 39713 302 52 the the DT 39713 302 53 organism organism NN 39713 302 54 to to IN 39713 302 55 whatever whatever WDT 39713 302 56 it -PRON- PRP 39713 302 57 is be VBZ 39713 302 58 which which WDT 39713 302 59 causes cause VBZ 39713 302 60 the the DT 39713 302 61 disease disease NN 39713 302 62 must must MD 39713 302 63 be be VB 39713 302 64 understood understand VBN 39713 302 65 in in IN 39713 302 66 case case NN 39713 302 67 the the DT 39713 302 68 disease disease NN 39713 302 69 is be VBZ 39713 302 70 to to TO 39713 302 71 be be VB 39713 302 72 understood understand VBN 39713 302 73 . . . 39713 303 1 For for IN 39713 303 2 this this DT 39713 303 3 very very JJ 39713 303 4 reason reason NN 39713 303 5 , , , 39713 303 6 however however RB 39713 303 7 , , , 39713 303 8 Virchow Virchow NNP 39713 303 9 's 's POS 39713 303 10 theoretical theoretical JJ 39713 303 11 principle principle NN 39713 303 12 in in IN 39713 303 13 its -PRON- PRP$ 39713 303 14 most most RBS 39713 303 15 general general JJ 39713 303 16 form form NN 39713 303 17 _ _ NNP 39713 303 18 could could MD 39713 303 19 be be VB 39713 303 20 neither neither CC 39713 303 21 confirmed confirm VBN 39713 303 22 nor nor CC 39713 303 23 refuted refute VBN 39713 303 24 by by IN 39713 303 25 experience experience NN 39713 303 26 _ _ NNP 39713 303 27 . . . 39713 304 1 It -PRON- PRP 39713 304 2 would would MD 39713 304 3 remain remain VB 39713 304 4 empirically empirically RB 39713 304 5 irrefutable irrefutable JJ 39713 304 6 , , , 39713 304 7 so so RB 39713 304 8 far far RB 39713 304 9 as as IN 39713 304 10 I -PRON- PRP 39713 304 11 can can MD 39713 304 12 see see VB 39713 304 13 , , , 39713 304 14 even even RB 39713 304 15 if if IN 39713 304 16 we -PRON- PRP 39713 304 17 should should MD 39713 304 18 learn learn VB 39713 304 19 that that IN 39713 304 20 the the DT 39713 304 21 devil devil NN 39713 304 22 was be VBD 39713 304 23 the the DT 39713 304 24 true true JJ 39713 304 25 cause cause NN 39713 304 26 of of IN 39713 304 27 all all DT 39713 304 28 diseases disease NNS 39713 304 29 . . . 39713 305 1 For for IN 39713 305 2 the the DT 39713 305 3 devil devil NN 39713 305 4 himself -PRON- PRP 39713 305 5 would would MD 39713 305 6 then then RB 39713 305 7 simply simply RB 39713 305 8 predetermine predetermine VB 39713 305 9 the the DT 39713 305 10 _ _ NNP 39713 305 11 veränderte veränderte NNP 39713 305 12 Bedingungen Bedingungen NNP 39713 305 13 _ _ NNP 39713 305 14 to to TO 39713 305 15 which which WDT 39713 305 16 the the DT 39713 305 17 diseased diseased JJ 39713 305 18 organism organism NN 39713 305 19 would would MD 39713 305 20 be be VB 39713 305 21 reacting react VBG 39713 305 22 . . . 39713 306 1 Let let VB 39713 306 2 bullets bullet NNS 39713 306 3 or or CC 39713 306 4 bacteria bacteria NNS 39713 306 5 , , , 39713 306 6 poisons poison NNS 39713 306 7 or or CC 39713 306 8 compressed compress VBN 39713 306 9 air air NN 39713 306 10 , , , 39713 306 11 or or CC 39713 306 12 the the DT 39713 306 13 devil devil NN 39713 306 14 be be VB 39713 306 15 the the DT 39713 306 16 _ _ NNP 39713 306 17 Bedingungen Bedingungen NNP 39713 306 18 _ _ NNP 39713 306 19 to to TO 39713 306 20 which which WDT 39713 306 21 a a DT 39713 306 22 diseased diseased JJ 39713 306 23 organism organism NN 39713 306 24 reacts react NNS 39713 306 25 , , , 39713 306 26 the the DT 39713 306 27 postulate postulate NN 39713 306 28 that that WDT 39713 306 29 Virchow Virchow NNP 39713 306 30 states state VBZ 39713 306 31 in in IN 39713 306 32 the the DT 39713 306 33 passage passage NN 39713 306 34 just just RB 39713 306 35 quoted quote VBN 39713 306 36 will will MD 39713 306 37 remain remain VB 39713 306 38 irrefutable irrefutable JJ 39713 306 39 , , , 39713 306 40 if if IN 39713 306 41 only only RB 39713 306 42 this this DT 39713 306 43 postulate postulate NN 39713 306 44 be be VB 39713 306 45 interpreted interpret VBN 39713 306 46 to to TO 39713 306 47 meet meet VB 39713 306 48 the the DT 39713 306 49 case case NN 39713 306 50 . . . 39713 307 1 For for IN 39713 307 2 the the DT 39713 307 3 principle principle NN 39713 307 4 in in IN 39713 307 5 question question NN 39713 307 6 merely merely RB 39713 307 7 says say VBZ 39713 307 8 that that IN 39713 307 9 whatever whatever WDT 39713 307 10 entity entity NN 39713 307 11 it -PRON- PRP 39713 307 12 may may MD 39713 307 13 be be VB 39713 307 14 , , , 39713 307 15 bullet bullet NN 39713 307 16 , , , 39713 307 17 or or CC 39713 307 18 poison poison NN 39713 307 19 , , , 39713 307 20 or or CC 39713 307 21 devil devil NN 39713 307 22 , , , 39713 307 23 that that WDT 39713 307 24 affects affect VBZ 39713 307 25 the the DT 39713 307 26 organism organism NN 39713 307 27 , , , 39713 307 28 the the DT 39713 307 29 disease disease NN 39713 307 30 is be VBZ 39713 307 31 not not RB 39713 307 32 that that DT 39713 307 33 entity entity NN 39713 307 34 , , , 39713 307 35 but but CC 39713 307 36 is be VBZ 39713 307 37 the the DT 39713 307 38 resulting result VBG 39713 307 39 alteration alteration NN 39713 307 40 in in IN 39713 307 41 the the DT 39713 307 42 process process NN 39713 307 43 of of IN 39713 307 44 the the DT 39713 307 45 organism organism NN 39713 307 46 . . . 39713 308 1 I -PRON- PRP 39713 308 2 insist insist VBP 39713 308 3 , , , 39713 308 4 then then RB 39713 308 5 , , , 39713 308 6 that that IN 39713 308 7 this this DT 39713 308 8 principle principle NN 39713 308 9 of of IN 39713 308 10 Virchow Virchow NNP 39713 308 11 's 's POS 39713 308 12 is be VBZ 39713 308 13 no no DT 39713 308 14 trial trial NN 39713 308 15 supposition supposition NN 39713 308 16 , , , 39713 308 17 no no DT 39713 308 18 scientific scientific JJ 39713 308 19 hypothesis hypothesis NN 39713 308 20 in in IN 39713 308 21 the the DT 39713 308 22 narrower narrow JJR 39713 308 23 sense sense NN 39713 308 24 -- -- : 39713 308 25 capable capable JJ 39713 308 26 of of IN 39713 308 27 being be VBG 39713 308 28 submitted submit VBN 39713 308 29 to to IN 39713 308 30 precise precise JJ 39713 308 31 empirical empirical JJ 39713 308 32 tests test NNS 39713 308 33 . . . 39713 309 1 It -PRON- PRP 39713 309 2 is be VBZ 39713 309 3 , , , 39713 309 4 on on IN 39713 309 5 the the DT 39713 309 6 contrary contrary NN 39713 309 7 , , , 39713 309 8 a a DT 39713 309 9 very very RB 39713 309 10 precious precious JJ 39713 309 11 _ _ NNP 39713 309 12 leading lead VBG 39713 309 13 idea idea NN 39713 309 14 _ _ NNP 39713 309 15 , , , 39713 309 16 a a DT 39713 309 17 theoretical theoretical JJ 39713 309 18 interpretation interpretation NN 39713 309 19 of of IN 39713 309 20 phenomena phenomenon NNS 39713 309 21 , , , 39713 309 22 in in IN 39713 309 23 the the DT 39713 309 24 light light NN 39713 309 25 of of IN 39713 309 26 which which WDT 39713 309 27 observations observation NNS 39713 309 28 are be VBP 39713 309 29 to to TO 39713 309 30 be be VB 39713 309 31 made--'a made--'a NN 39713 309 32 regulative regulative JJ 39713 309 33 principle principle NN 39713 309 34 ' ' '' 39713 309 35 of of IN 39713 309 36 research research NN 39713 309 37 . . . 39713 310 1 It -PRON- PRP 39713 310 2 is be VBZ 39713 310 3 equivalent equivalent JJ 39713 310 4 to to IN 39713 310 5 a a DT 39713 310 6 resolution resolution NN 39713 310 7 to to TO 39713 310 8 search search VB 39713 310 9 for for IN 39713 310 10 those those DT 39713 310 11 detailed detailed JJ 39713 310 12 connections connection NNS 39713 310 13 which which WDT 39713 310 14 link link VBP 39713 310 15 the the DT 39713 310 16 processes process NNS 39713 310 17 of of IN 39713 310 18 disease disease NN 39713 310 19 to to IN 39713 310 20 the the DT 39713 310 21 normal normal JJ 39713 310 22 process process NN 39713 310 23 of of IN 39713 310 24 the the DT 39713 310 25 organism organism NN 39713 310 26 . . . 39713 311 1 Such such PDT 39713 311 2 a a DT 39713 311 3 search search NN 39713 311 4 undertakes undertake VBZ 39713 311 5 to to TO 39713 311 6 find find VB 39713 311 7 the the DT 39713 311 8 true true JJ 39713 311 9 unity unity NN 39713 311 10 , , , 39713 311 11 whatever whatever WDT 39713 311 12 that that DT 39713 311 13 may may MD 39713 311 14 prove prove VB 39713 311 15 to to TO 39713 311 16 be be VB 39713 311 17 , , , 39713 311 18 wherein wherein WRB 39713 311 19 the the DT 39713 311 20 pathological pathological JJ 39713 311 21 and and CC 39713 311 22 the the DT 39713 311 23 normal normal JJ 39713 311 24 processes process NNS 39713 311 25 are be VBP 39713 311 26 linked link VBN 39713 311 27 . . . 39713 312 1 Now now RB 39713 312 2 without without IN 39713 312 3 some some DT 39713 312 4 such such JJ 39713 312 5 leading lead VBG 39713 312 6 idea idea NN 39713 312 7 , , , 39713 312 8 the the DT 39713 312 9 cellular cellular JJ 39713 312 10 pathology pathology NN 39713 312 11 itself -PRON- PRP 39713 312 12 could could MD 39713 312 13 never never RB 39713 312 14 have have VB 39713 312 15 been be VBN 39713 312 16 reached reach VBN 39713 312 17 ; ; : 39713 312 18 because because IN 39713 312 19 the the DT 39713 312 20 empirical empirical JJ 39713 312 21 facts fact NNS 39713 312 22 in in IN 39713 312 23 question question NN 39713 312 24 would would MD 39713 312 25 never never RB 39713 312 26 have have VB 39713 312 27 been be VBN 39713 312 28 observed observe VBN 39713 312 29 . . . 39713 313 1 Hence hence RB 39713 313 2 this this DT 39713 313 3 principle principle NN 39713 313 4 of of IN 39713 313 5 Virchow Virchow NNP 39713 313 6 's 's POS 39713 313 7 was be VBD 39713 313 8 indispensable indispensable JJ 39713 313 9 to to IN 39713 313 10 the the DT 39713 313 11 growth growth NN 39713 313 12 of of IN 39713 313 13 his -PRON- PRP$ 39713 313 14 science science NN 39713 313 15 . . . 39713 314 1 Yet yet CC 39713 314 2 it -PRON- PRP 39713 314 3 was be VBD 39713 314 4 not not RB 39713 314 5 a a DT 39713 314 6 verifiable verifiable JJ 39713 314 7 and and CC 39713 314 8 not not RB 39713 314 9 a a DT 39713 314 10 refutable refutable JJ 39713 314 11 hypothesis hypothesis NN 39713 314 12 . . . 39713 315 1 One one CD 39713 315 2 value value NN 39713 315 3 of of IN 39713 315 4 unverifiable unverifiable JJ 39713 315 5 and and CC 39713 315 6 irrefutable irrefutable JJ 39713 315 7 hypotheses hypothesis NNS 39713 315 8 of of IN 39713 315 9 this this DT 39713 315 10 type type NN 39713 315 11 lies lie VBZ 39713 315 12 , , , 39713 315 13 then then RB 39713 315 14 , , , 39713 315 15 in in IN 39713 315 16 the the DT 39713 315 17 sort sort NN 39713 315 18 of of IN 39713 315 19 empirical empirical JJ 39713 315 20 inquiries inquiry NNS 39713 315 21 which which WDT 39713 315 22 they -PRON- PRP 39713 315 23 initiate initiate VBP 39713 315 24 , , , 39713 315 25 inspire inspire VBP 39713 315 26 , , , 39713 315 27 organize organize VB 39713 315 28 and and CC 39713 315 29 guide guide VB 39713 315 30 . . . 39713 316 1 In in IN 39713 316 2 these these DT 39713 316 3 inquiries inquiry NNS 39713 316 4 hypotheses hypothesis NNS 39713 316 5 in in IN 39713 316 6 the the DT 39713 316 7 narrower narrow JJR 39713 316 8 sense sense NN 39713 316 9 , , , 39713 316 10 that that RB 39713 316 11 is is RB 39713 316 12 , , , 39713 316 13 trial trial NN 39713 316 14 propositions proposition NNS 39713 316 15 which which WDT 39713 316 16 are be VBP 39713 316 17 to to TO 39713 316 18 be be VB 39713 316 19 submitted submit VBN 39713 316 20 to to IN 39713 316 21 definite definite JJ 39713 316 22 empirical empirical JJ 39713 316 23 control control NN 39713 316 24 , , , 39713 316 25 are be VBP 39713 316 26 indeed indeed RB 39713 316 27 everywhere everywhere RB 39713 316 28 present present JJ 39713 316 29 . . . 39713 317 1 And and CC 39713 317 2 the the DT 39713 317 3 use use NN 39713 317 4 of of IN 39713 317 5 the the DT 39713 317 6 other other JJ 39713 317 7 sort sort NN 39713 317 8 of of IN 39713 317 9 principles principle NNS 39713 317 10 lies lie VBZ 39713 317 11 wholly wholly RB 39713 317 12 in in IN 39713 317 13 their -PRON- PRP$ 39713 317 14 application application NN 39713 317 15 to to TO 39713 317 16 experience experience VB 39713 317 17 . . . 39713 318 1 Yet yet CC 39713 318 2 without without IN 39713 318 3 what what WP 39713 318 4 I -PRON- PRP 39713 318 5 have have VBP 39713 318 6 just just RB 39713 318 7 proposed propose VBN 39713 318 8 to to TO 39713 318 9 call call VB 39713 318 10 the the DT 39713 318 11 ' ' `` 39713 318 12 leading lead VBG 39713 318 13 ideas idea NNS 39713 318 14 ' ' '' 39713 318 15 of of IN 39713 318 16 a a DT 39713 318 17 science science NN 39713 318 18 , , , 39713 318 19 that that RB 39713 318 20 is is RB 39713 318 21 , , , 39713 318 22 its -PRON- PRP$ 39713 318 23 principles principle NNS 39713 318 24 of of IN 39713 318 25 an an DT 39713 318 26 unverifiable unverifiable JJ 39713 318 27 and and CC 39713 318 28 irrefutable irrefutable JJ 39713 318 29 character character NN 39713 318 30 , , , 39713 318 31 suggested suggest VBD 39713 318 32 , , , 39713 318 33 but but CC 39713 318 34 not not RB 39713 318 35 to to TO 39713 318 36 be be VB 39713 318 37 finally finally RB 39713 318 38 tested test VBN 39713 318 39 , , , 39713 318 40 by by IN 39713 318 41 experience experience NN 39713 318 42 , , , 39713 318 43 the the DT 39713 318 44 hypotheses hypothesis NNS 39713 318 45 in in IN 39713 318 46 the the DT 39713 318 47 narrower narrow JJR 39713 318 48 sense sense NN 39713 318 49 would would MD 39713 318 50 lack lack VB 39713 318 51 that that DT 39713 318 52 guidance guidance NN 39713 318 53 which which WDT 39713 318 54 , , , 39713 318 55 as as IN 39713 318 56 M. M. NNP 39713 318 57 Poincaré Poincaré NNP 39713 318 58 has have VBZ 39713 318 59 shown show VBN 39713 318 60 , , , 39713 318 61 the the DT 39713 318 62 larger large JJR 39713 318 63 ideas idea NNS 39713 318 64 of of IN 39713 318 65 science science NN 39713 318 66 give give VBP 39713 318 67 to to IN 39713 318 68 empirical empirical JJ 39713 318 69 investigation investigation NN 39713 318 70 . . . 39713 319 1 V v NN 39713 319 2 I -PRON- PRP 39713 319 3 have have VBP 39713 319 4 dwelt dwell VBN 39713 319 5 , , , 39713 319 6 no no RB 39713 319 7 doubt doubt RB 39713 319 8 , , , 39713 319 9 at at IN 39713 319 10 too too RB 39713 319 11 great great JJ 39713 319 12 length length NN 39713 319 13 upon upon IN 39713 319 14 one one CD 39713 319 15 aspect aspect NN 39713 319 16 only only RB 39713 319 17 of of IN 39713 319 18 our -PRON- PRP$ 39713 319 19 author author NN 39713 319 20 's 's POS 39713 319 21 varied varied JJ 39713 319 22 and and CC 39713 319 23 well well RB 39713 319 24 - - HYPH 39713 319 25 balanced balance VBN 39713 319 26 discussion discussion NN 39713 319 27 of of IN 39713 319 28 the the DT 39713 319 29 problems problem NNS 39713 319 30 and and CC 39713 319 31 concepts concept NNS 39713 319 32 of of IN 39713 319 33 scientific scientific JJ 39713 319 34 theory theory NN 39713 319 35 . . . 39713 320 1 Of of IN 39713 320 2 the the DT 39713 320 3 hypotheses hypothesis NNS 39713 320 4 in in IN 39713 320 5 the the DT 39713 320 6 narrower narrow JJR 39713 320 7 sense sense NN 39713 320 8 and and CC 39713 320 9 of of IN 39713 320 10 the the DT 39713 320 11 value value NN 39713 320 12 of of IN 39713 320 13 direct direct JJ 39713 320 14 empirical empirical JJ 39713 320 15 control control NN 39713 320 16 , , , 39713 320 17 he -PRON- PRP 39713 320 18 has have VBZ 39713 320 19 also also RB 39713 320 20 spoken speak VBN 39713 320 21 with with IN 39713 320 22 the the DT 39713 320 23 authority authority NN 39713 320 24 and and CC 39713 320 25 the the DT 39713 320 26 originality originality NN 39713 320 27 which which WDT 39713 320 28 belong belong VBP 39713 320 29 to to IN 39713 320 30 his -PRON- PRP$ 39713 320 31 position position NN 39713 320 32 . . . 39713 321 1 And and CC 39713 321 2 in in IN 39713 321 3 dealing deal VBG 39713 321 4 with with IN 39713 321 5 the the DT 39713 321 6 foundations foundation NNS 39713 321 7 of of IN 39713 321 8 mathematics mathematic NNS 39713 321 9 he -PRON- PRP 39713 321 10 has have VBZ 39713 321 11 raised raise VBN 39713 321 12 one one CD 39713 321 13 or or CC 39713 321 14 two two CD 39713 321 15 questions question NNS 39713 321 16 of of IN 39713 321 17 great great JJ 39713 321 18 philosophical philosophical JJ 39713 321 19 import import NN 39713 321 20 into into IN 39713 321 21 which which WDT 39713 321 22 I -PRON- PRP 39713 321 23 have have VBP 39713 321 24 no no DT 39713 321 25 time time NN 39713 321 26 , , , 39713 321 27 even even RB 39713 321 28 if if IN 39713 321 29 I -PRON- PRP 39713 321 30 had have VBD 39713 321 31 the the DT 39713 321 32 right right NN 39713 321 33 , , , 39713 321 34 to to TO 39713 321 35 enter enter VB 39713 321 36 here here RB 39713 321 37 . . . 39713 322 1 In in IN 39713 322 2 particular particular JJ 39713 322 3 , , , 39713 322 4 in in IN 39713 322 5 speaking speak VBG 39713 322 6 of of IN 39713 322 7 the the DT 39713 322 8 essence essence NN 39713 322 9 of of IN 39713 322 10 mathematical mathematical JJ 39713 322 11 reasoning reasoning NN 39713 322 12 , , , 39713 322 13 and and CC 39713 322 14 of of IN 39713 322 15 the the DT 39713 322 16 difficult difficult JJ 39713 322 17 problem problem NN 39713 322 18 of of IN 39713 322 19 what what WP 39713 322 20 makes make VBZ 39713 322 21 possible possible JJ 39713 322 22 novel novel JJ 39713 322 23 results result NNS 39713 322 24 in in IN 39713 322 25 the the DT 39713 322 26 field field NN 39713 322 27 of of IN 39713 322 28 pure pure JJ 39713 322 29 mathematics mathematic NNS 39713 322 30 , , , 39713 322 31 M. M. NNP 39713 322 32 Poincaré Poincaré NNP 39713 322 33 defends defend VBZ 39713 322 34 a a DT 39713 322 35 thesis thesis NN 39713 322 36 regarding regard VBG 39713 322 37 the the DT 39713 322 38 office office NN 39713 322 39 of of IN 39713 322 40 ' ' `` 39713 322 41 demonstration demonstration NN 39713 322 42 by by IN 39713 322 43 recurrence'--a recurrence'--a NNP 39713 322 44 thesis thesis NN 39713 322 45 which which WDT 39713 322 46 is be VBZ 39713 322 47 indeed indeed RB 39713 322 48 disputable disputable JJ 39713 322 49 , , , 39713 322 50 which which WDT 39713 322 51 has have VBZ 39713 322 52 been be VBN 39713 322 53 disputed dispute VBN 39713 322 54 and and CC 39713 322 55 which which WDT 39713 322 56 I -PRON- PRP 39713 322 57 myself -PRON- PRP 39713 322 58 should should MD 39713 322 59 be be VB 39713 322 60 disposed dispose VBN 39713 322 61 , , , 39713 322 62 so so RB 39713 322 63 far far RB 39713 322 64 as as IN 39713 322 65 I -PRON- PRP 39713 322 66 at at IN 39713 322 67 present present JJ 39713 322 68 understand understand VB 39713 322 69 the the DT 39713 322 70 matter matter NN 39713 322 71 , , , 39713 322 72 to to TO 39713 322 73 modify modify VB 39713 322 74 in in IN 39713 322 75 some some DT 39713 322 76 respects respect NNS 39713 322 77 , , , 39713 322 78 even even RB 39713 322 79 in in IN 39713 322 80 accepting accept VBG 39713 322 81 the the DT 39713 322 82 spirit spirit NN 39713 322 83 of of IN 39713 322 84 our -PRON- PRP$ 39713 322 85 author author NN 39713 322 86 's 's POS 39713 322 87 assertion assertion NN 39713 322 88 . . . 39713 323 1 Yet yet CC 39713 323 2 there there EX 39713 323 3 can can MD 39713 323 4 be be VB 39713 323 5 no no DT 39713 323 6 doubt doubt NN 39713 323 7 of of IN 39713 323 8 the the DT 39713 323 9 importance importance NN 39713 323 10 of of IN 39713 323 11 this this DT 39713 323 12 thesis thesis NN 39713 323 13 , , , 39713 323 14 and and CC 39713 323 15 of of IN 39713 323 16 the the DT 39713 323 17 fact fact NN 39713 323 18 that that IN 39713 323 19 it -PRON- PRP 39713 323 20 defines define VBZ 39713 323 21 a a DT 39713 323 22 characteristic characteristic NN 39713 323 23 that that WDT 39713 323 24 is be VBZ 39713 323 25 indeed indeed RB 39713 323 26 fundamental fundamental JJ 39713 323 27 in in IN 39713 323 28 a a DT 39713 323 29 wide wide JJ 39713 323 30 range range NN 39713 323 31 of of IN 39713 323 32 mathematical mathematical JJ 39713 323 33 research research NN 39713 323 34 . . . 39713 324 1 The the DT 39713 324 2 philosophical philosophical JJ 39713 324 3 problems problem NNS 39713 324 4 that that WDT 39713 324 5 lie lie VBP 39713 324 6 at at IN 39713 324 7 the the DT 39713 324 8 basis basis NN 39713 324 9 of of IN 39713 324 10 recurrent recurrent JJ 39713 324 11 proofs proof NNS 39713 324 12 and and CC 39713 324 13 processes process NNS 39713 324 14 are be VBP 39713 324 15 , , , 39713 324 16 as as IN 39713 324 17 I -PRON- PRP 39713 324 18 have have VBP 39713 324 19 elsewhere elsewhere RB 39713 324 20 argued argue VBN 39713 324 21 , , , 39713 324 22 of of IN 39713 324 23 the the DT 39713 324 24 most most RBS 39713 324 25 fundamental fundamental JJ 39713 324 26 importance importance NN 39713 324 27 . . . 39713 325 1 These these DT 39713 325 2 , , , 39713 325 3 then then RB 39713 325 4 , , , 39713 325 5 are be VBP 39713 325 6 a a DT 39713 325 7 few few JJ 39713 325 8 hints hint NNS 39713 325 9 relating relate VBG 39713 325 10 to to IN 39713 325 11 the the DT 39713 325 12 significance significance NN 39713 325 13 of of IN 39713 325 14 our -PRON- PRP$ 39713 325 15 author author NN 39713 325 16 's 's POS 39713 325 17 discussion discussion NN 39713 325 18 , , , 39713 325 19 and and CC 39713 325 20 a a DT 39713 325 21 few few JJ 39713 325 22 reasons reason NNS 39713 325 23 for for IN 39713 325 24 hoping hope VBG 39713 325 25 that that IN 39713 325 26 our -PRON- PRP$ 39713 325 27 own own JJ 39713 325 28 students student NNS 39713 325 29 will will MD 39713 325 30 profit profit VB 39713 325 31 by by IN 39713 325 32 the the DT 39713 325 33 reading reading NN 39713 325 34 of of IN 39713 325 35 the the DT 39713 325 36 book book NN 39713 325 37 as as IN 39713 325 38 those those DT 39713 325 39 of of IN 39713 325 40 other other JJ 39713 325 41 nations nation NNS 39713 325 42 have have VBP 39713 325 43 already already RB 39713 325 44 done do VBN 39713 325 45 . . . 39713 326 1 Of of IN 39713 326 2 the the DT 39713 326 3 person person NN 39713 326 4 and and CC 39713 326 5 of of IN 39713 326 6 the the DT 39713 326 7 life life NN 39713 326 8 - - HYPH 39713 326 9 work work NN 39713 326 10 of of IN 39713 326 11 our -PRON- PRP$ 39713 326 12 author author NN 39713 326 13 a a DT 39713 326 14 few few JJ 39713 326 15 words word NNS 39713 326 16 are be VBP 39713 326 17 here here RB 39713 326 18 , , , 39713 326 19 in in IN 39713 326 20 conclusion conclusion NN 39713 326 21 , , , 39713 326 22 still still RB 39713 326 23 in in IN 39713 326 24 place place NN 39713 326 25 , , , 39713 326 26 addressed address VBN 39713 326 27 , , , 39713 326 28 not not RB 39713 326 29 to to IN 39713 326 30 the the DT 39713 326 31 students student NNS 39713 326 32 of of IN 39713 326 33 his -PRON- PRP$ 39713 326 34 own own JJ 39713 326 35 science science NN 39713 326 36 , , , 39713 326 37 to to TO 39713 326 38 whom whom WP 39713 326 39 his -PRON- PRP$ 39713 326 40 position position NN 39713 326 41 is be VBZ 39713 326 42 well well RB 39713 326 43 known known JJ 39713 326 44 , , , 39713 326 45 but but CC 39713 326 46 to to IN 39713 326 47 the the DT 39713 326 48 general general JJ 39713 326 49 reader reader NN 39713 326 50 who who WP 39713 326 51 may may MD 39713 326 52 seek seek VB 39713 326 53 guidance guidance NN 39713 326 54 in in IN 39713 326 55 these these DT 39713 326 56 pages page NNS 39713 326 57 . . . 39713 327 1 Jules Jules NNP 39713 327 2 Henri Henri NNP 39713 327 3 Poincaré Poincaré NNP 39713 327 4 was be VBD 39713 327 5 born bear VBN 39713 327 6 at at IN 39713 327 7 Nancy Nancy NNP 39713 327 8 , , , 39713 327 9 in in IN 39713 327 10 1854 1854 CD 39713 327 11 , , , 39713 327 12 the the DT 39713 327 13 son son NN 39713 327 14 of of IN 39713 327 15 a a DT 39713 327 16 professor professor NN 39713 327 17 in in IN 39713 327 18 the the DT 39713 327 19 Faculty Faculty NNP 39713 327 20 of of IN 39713 327 21 Medicine Medicine NNP 39713 327 22 at at IN 39713 327 23 Nancy Nancy NNP 39713 327 24 . . . 39713 328 1 He -PRON- PRP 39713 328 2 studied study VBD 39713 328 3 at at IN 39713 328 4 the the DT 39713 328 5 École École NNP 39713 328 6 Polytechnique Polytechnique NNP 39713 328 7 and and CC 39713 328 8 at at IN 39713 328 9 the the DT 39713 328 10 École École NNP 39713 328 11 des des NNP 39713 328 12 Mines Mines NNP 39713 328 13 , , , 39713 328 14 and and CC 39713 328 15 later later RB 39713 328 16 received receive VBD 39713 328 17 his -PRON- PRP$ 39713 328 18 doctorate doctorate NN 39713 328 19 in in IN 39713 328 20 mathematics mathematic NNS 39713 328 21 in in IN 39713 328 22 1879 1879 CD 39713 328 23 . . . 39713 329 1 In in IN 39713 329 2 1883 1883 CD 39713 329 3 he -PRON- PRP 39713 329 4 began begin VBD 39713 329 5 courses course NNS 39713 329 6 of of IN 39713 329 7 instruction instruction NN 39713 329 8 in in IN 39713 329 9 mathematics mathematic NNS 39713 329 10 at at IN 39713 329 11 the the DT 39713 329 12 École École NNP 39713 329 13 Polytechnique Polytechnique NNP 39713 329 14 ; ; : 39713 329 15 in in IN 39713 329 16 1886 1886 CD 39713 329 17 received receive VBD 39713 329 18 a a DT 39713 329 19 professorship professorship NN 39713 329 20 of of IN 39713 329 21 mathematical mathematical JJ 39713 329 22 physics physics NN 39713 329 23 in in IN 39713 329 24 the the DT 39713 329 25 Faculty Faculty NNP 39713 329 26 of of IN 39713 329 27 Sciences Sciences NNPS 39713 329 28 at at IN 39713 329 29 Paris Paris NNP 39713 329 30 ; ; : 39713 329 31 then then RB 39713 329 32 became become VBD 39713 329 33 member member NN 39713 329 34 of of IN 39713 329 35 the the DT 39713 329 36 Academy Academy NNP 39713 329 37 of of IN 39713 329 38 Sciences Sciences NNPS 39713 329 39 at at IN 39713 329 40 Paris Paris NNP 39713 329 41 , , , 39713 329 42 in in IN 39713 329 43 1887 1887 CD 39713 329 44 , , , 39713 329 45 and and CC 39713 329 46 devoted devote VBD 39713 329 47 his -PRON- PRP$ 39713 329 48 life life NN 39713 329 49 to to IN 39713 329 50 instruction instruction NN 39713 329 51 and and CC 39713 329 52 investigation investigation NN 39713 329 53 in in IN 39713 329 54 the the DT 39713 329 55 regions region NNS 39713 329 56 of of IN 39713 329 57 pure pure JJ 39713 329 58 mathematics mathematic NNS 39713 329 59 , , , 39713 329 60 of of IN 39713 329 61 mathematical mathematical JJ 39713 329 62 physics physics NN 39713 329 63 and and CC 39713 329 64 of of IN 39713 329 65 celestial celestial JJ 39713 329 66 mechanics mechanic NNS 39713 329 67 . . . 39713 330 1 His -PRON- PRP$ 39713 330 2 list list NN 39713 330 3 of of IN 39713 330 4 published publish VBN 39713 330 5 treatises treatise NNS 39713 330 6 relating relate VBG 39713 330 7 to to IN 39713 330 8 various various JJ 39713 330 9 branches branch NNS 39713 330 10 of of IN 39713 330 11 his -PRON- PRP$ 39713 330 12 chosen choose VBN 39713 330 13 sciences science NNS 39713 330 14 is be VBZ 39713 330 15 long long JJ 39713 330 16 ; ; : 39713 330 17 and and CC 39713 330 18 his -PRON- PRP$ 39713 330 19 original original JJ 39713 330 20 memoirs memoir NNS 39713 330 21 have have VBP 39713 330 22 included include VBN 39713 330 23 several several JJ 39713 330 24 momentous momentous JJ 39713 330 25 investigations investigation NNS 39713 330 26 , , , 39713 330 27 which which WDT 39713 330 28 have have VBP 39713 330 29 gone go VBN 39713 330 30 far far RB 39713 330 31 to to TO 39713 330 32 transform transform VB 39713 330 33 more more JJR 39713 330 34 than than IN 39713 330 35 one one CD 39713 330 36 branch branch NN 39713 330 37 of of IN 39713 330 38 research research NN 39713 330 39 . . . 39713 331 1 His -PRON- PRP$ 39713 331 2 presence presence NN 39713 331 3 at at IN 39713 331 4 the the DT 39713 331 5 International International NNP 39713 331 6 Congress Congress NNP 39713 331 7 of of IN 39713 331 8 Arts Arts NNP 39713 331 9 and and CC 39713 331 10 Science Science NNP 39713 331 11 in in IN 39713 331 12 St. St. NNP 39713 331 13 Louis Louis NNP 39713 331 14 was be VBD 39713 331 15 one one CD 39713 331 16 of of IN 39713 331 17 the the DT 39713 331 18 most most RBS 39713 331 19 noticeable noticeable JJ 39713 331 20 features feature NNS 39713 331 21 of of IN 39713 331 22 that that DT 39713 331 23 remarkable remarkable JJ 39713 331 24 gathering gathering NN 39713 331 25 of of IN 39713 331 26 distinguished distinguished JJ 39713 331 27 foreign foreign JJ 39713 331 28 guests guest NNS 39713 331 29 . . . 39713 332 1 In in IN 39713 332 2 Poincaré Poincaré NNP 39713 332 3 the the DT 39713 332 4 reader reader NN 39713 332 5 meets meet VBZ 39713 332 6 , , , 39713 332 7 then then RB 39713 332 8 , , , 39713 332 9 not not RB 39713 332 10 one one CD 39713 332 11 who who WP 39713 332 12 is be VBZ 39713 332 13 primarily primarily RB 39713 332 14 a a DT 39713 332 15 speculative speculative JJ 39713 332 16 student student NN 39713 332 17 of of IN 39713 332 18 general general JJ 39713 332 19 problems problem NNS 39713 332 20 for for IN 39713 332 21 their -PRON- PRP$ 39713 332 22 own own JJ 39713 332 23 sake sake NN 39713 332 24 , , , 39713 332 25 but but CC 39713 332 26 an an DT 39713 332 27 original original JJ 39713 332 28 investigator investigator NN 39713 332 29 of of IN 39713 332 30 the the DT 39713 332 31 highest high JJS 39713 332 32 rank rank NN 39713 332 33 in in IN 39713 332 34 several several JJ 39713 332 35 distinct distinct JJ 39713 332 36 , , , 39713 332 37 although although IN 39713 332 38 interrelated interrelate VBN 39713 332 39 , , , 39713 332 40 branches branch NNS 39713 332 41 of of IN 39713 332 42 modern modern JJ 39713 332 43 research research NN 39713 332 44 . . . 39713 333 1 The the DT 39713 333 2 theory theory NN 39713 333 3 of of IN 39713 333 4 functions function NNS 39713 333 5 -- -- : 39713 333 6 a a DT 39713 333 7 highly highly RB 39713 333 8 recondite recondite JJ 39713 333 9 region region NN 39713 333 10 of of IN 39713 333 11 pure pure JJ 39713 333 12 mathematics mathematic NNS 39713 333 13 -- -- : 39713 333 14 owes owe VBZ 39713 333 15 to to IN 39713 333 16 him -PRON- PRP 39713 333 17 advances advance NNS 39713 333 18 of of IN 39713 333 19 the the DT 39713 333 20 first first JJ 39713 333 21 importance importance NN 39713 333 22 , , , 39713 333 23 for for IN 39713 333 24 instance instance NN 39713 333 25 , , , 39713 333 26 the the DT 39713 333 27 definition definition NN 39713 333 28 of of IN 39713 333 29 a a DT 39713 333 30 new new JJ 39713 333 31 type type NN 39713 333 32 of of IN 39713 333 33 functions function NNS 39713 333 34 . . . 39713 334 1 The the DT 39713 334 2 ' ' `` 39713 334 3 problem problem NN 39713 334 4 of of IN 39713 334 5 the the DT 39713 334 6 three three CD 39713 334 7 bodies body NNS 39713 334 8 , , , 39713 334 9 ' ' '' 39713 334 10 a a DT 39713 334 11 famous famous JJ 39713 334 12 and and CC 39713 334 13 fundamental fundamental JJ 39713 334 14 problem problem NN 39713 334 15 of of IN 39713 334 16 celestial celestial JJ 39713 334 17 mechanics mechanic NNS 39713 334 18 , , , 39713 334 19 has have VBZ 39713 334 20 received receive VBN 39713 334 21 from from IN 39713 334 22 his -PRON- PRP$ 39713 334 23 studies study NNS 39713 334 24 a a DT 39713 334 25 treatment treatment NN 39713 334 26 whose whose WP$ 39713 334 27 significance significance NN 39713 334 28 has have VBZ 39713 334 29 been be VBN 39713 334 30 recognized recognize VBN 39713 334 31 by by IN 39713 334 32 the the DT 39713 334 33 highest high JJS 39713 334 34 authorities authority NNS 39713 334 35 . . . 39713 335 1 His -PRON- PRP$ 39713 335 2 international international JJ 39713 335 3 reputation reputation NN 39713 335 4 has have VBZ 39713 335 5 been be VBN 39713 335 6 confirmed confirm VBN 39713 335 7 by by IN 39713 335 8 the the DT 39713 335 9 conferring conferring NN 39713 335 10 of of IN 39713 335 11 more more JJR 39713 335 12 than than IN 39713 335 13 one one CD 39713 335 14 important important JJ 39713 335 15 prize prize NN 39713 335 16 for for IN 39713 335 17 his -PRON- PRP$ 39713 335 18 researches research NNS 39713 335 19 . . . 39713 336 1 His -PRON- PRP$ 39713 336 2 membership membership NN 39713 336 3 in in IN 39713 336 4 the the DT 39713 336 5 most most RBS 39713 336 6 eminent eminent JJ 39713 336 7 learned learned JJ 39713 336 8 societies society NNS 39713 336 9 of of IN 39713 336 10 various various JJ 39713 336 11 nations nation NNS 39713 336 12 is be VBZ 39713 336 13 widely widely RB 39713 336 14 extended extended JJ 39713 336 15 ; ; : 39713 336 16 his -PRON- PRP$ 39713 336 17 volumes volume NNS 39713 336 18 bearing bear VBG 39713 336 19 upon upon IN 39713 336 20 various various JJ 39713 336 21 branches branch NNS 39713 336 22 of of IN 39713 336 23 mathematics mathematic NNS 39713 336 24 and and CC 39713 336 25 of of IN 39713 336 26 mathematical mathematical JJ 39713 336 27 physics physics NN 39713 336 28 are be VBP 39713 336 29 used use VBN 39713 336 30 by by IN 39713 336 31 special special JJ 39713 336 32 students student NNS 39713 336 33 in in IN 39713 336 34 all all DT 39713 336 35 parts part NNS 39713 336 36 of of IN 39713 336 37 the the DT 39713 336 38 learned learn VBN 39713 336 39 world world NN 39713 336 40 ; ; , 39713 336 41 in in IN 39713 336 42 brief brief NN 39713 336 43 , , , 39713 336 44 he -PRON- PRP 39713 336 45 is be VBZ 39713 336 46 , , , 39713 336 47 as as IN 39713 336 48 geometer geometer NN 39713 336 49 , , , 39713 336 50 as as IN 39713 336 51 analyst analyst NN 39713 336 52 and and CC 39713 336 53 as as IN 39713 336 54 a a DT 39713 336 55 theoretical theoretical JJ 39713 336 56 physicist physicist NN 39713 336 57 , , , 39713 336 58 a a DT 39713 336 59 leader leader NN 39713 336 60 of of IN 39713 336 61 his -PRON- PRP$ 39713 336 62 age age NN 39713 336 63 . . . 39713 337 1 Meanwhile meanwhile RB 39713 337 2 , , , 39713 337 3 as as IN 39713 337 4 contributor contributor NN 39713 337 5 to to IN 39713 337 6 the the DT 39713 337 7 philosophical philosophical JJ 39713 337 8 discussion discussion NN 39713 337 9 of of IN 39713 337 10 the the DT 39713 337 11 bases basis NNS 39713 337 12 and and CC 39713 337 13 methods method NNS 39713 337 14 of of IN 39713 337 15 science science NN 39713 337 16 , , , 39713 337 17 M. M. NNP 39713 337 18 Poincaré Poincaré NNP 39713 337 19 has have VBZ 39713 337 20 long long RB 39713 337 21 been be VBN 39713 337 22 active active JJ 39713 337 23 . . . 39713 338 1 When when WRB 39713 338 2 , , , 39713 338 3 in in IN 39713 338 4 1893 1893 CD 39713 338 5 , , , 39713 338 6 the the DT 39713 338 7 admirable admirable JJ 39713 338 8 _ _ NNP 39713 338 9 Revue Revue NNP 39713 338 10 de de FW 39713 338 11 Métaphysique Métaphysique NNP 39713 338 12 et et FW 39713 338 13 de de FW 39713 338 14 Morale Morale NNP 39713 338 15 _ _ NNP 39713 338 16 began begin VBD 39713 338 17 to to TO 39713 338 18 appear appear VB 39713 338 19 , , , 39713 338 20 M. M. NNP 39713 338 21 Poincaré Poincaré NNP 39713 338 22 was be VBD 39713 338 23 soon soon RB 39713 338 24 found find VBN 39713 338 25 amongst amongst IN 39713 338 26 the the DT 39713 338 27 most most RBS 39713 338 28 satisfactory satisfactory JJ 39713 338 29 of of IN 39713 338 30 the the DT 39713 338 31 contributors contributor NNS 39713 338 32 to to IN 39713 338 33 the the DT 39713 338 34 work work NN 39713 338 35 of of IN 39713 338 36 that that DT 39713 338 37 journal journal NN 39713 338 38 , , , 39713 338 39 whose whose WP$ 39713 338 40 office office NN 39713 338 41 it -PRON- PRP 39713 338 42 has have VBZ 39713 338 43 especially especially RB 39713 338 44 been be VBN 39713 338 45 to to TO 39713 338 46 bring bring VB 39713 338 47 philosophy philosophy NN 39713 338 48 and and CC 39713 338 49 the the DT 39713 338 50 various various JJ 39713 338 51 special special JJ 39713 338 52 sciences science NNS 39713 338 53 ( ( -LRB- 39713 338 54 both both CC 39713 338 55 natural natural JJ 39713 338 56 and and CC 39713 338 57 moral moral JJ 39713 338 58 ) ) -RRB- 39713 338 59 into into IN 39713 338 60 a a DT 39713 338 61 closer close RBR 39713 338 62 mutual mutual JJ 39713 338 63 understanding understanding NN 39713 338 64 . . . 39713 339 1 The the DT 39713 339 2 discussions discussion NNS 39713 339 3 brought bring VBN 39713 339 4 together together RB 39713 339 5 in in IN 39713 339 6 the the DT 39713 339 7 present present JJ 39713 339 8 volume volume NN 39713 339 9 are be VBP 39713 339 10 in in IN 39713 339 11 large large JJ 39713 339 12 part part NN 39713 339 13 the the DT 39713 339 14 outcome outcome NN 39713 339 15 of of IN 39713 339 16 M. M. NNP 39713 339 17 Poincaré Poincaré NNP 39713 339 18 's 's POS 39713 339 19 contributions contribution NNS 39713 339 20 to to IN 39713 339 21 the the DT 39713 339 22 _ _ NNP 39713 339 23 Revue Revue NNP 39713 339 24 de de NNP 39713 339 25 Métaphysique Métaphysique NNP 39713 339 26 et et FW 39713 339 27 de de FW 39713 339 28 Morale Morale NNP 39713 339 29 _ _ NNP 39713 339 30 . . . 39713 340 1 The the DT 39713 340 2 reader reader NN 39713 340 3 of of IN 39713 340 4 M. M. NNP 39713 340 5 Poincaré Poincaré NNP 39713 340 6 's 's POS 39713 340 7 book book NN 39713 340 8 is be VBZ 39713 340 9 in in IN 39713 340 10 presence presence NN 39713 340 11 , , , 39713 340 12 then then RB 39713 340 13 , , , 39713 340 14 of of IN 39713 340 15 a a DT 39713 340 16 great great JJ 39713 340 17 special special JJ 39713 340 18 investigator investigator NN 39713 340 19 who who WP 39713 340 20 is be VBZ 39713 340 21 also also RB 39713 340 22 a a DT 39713 340 23 philosopher philosopher NN 39713 340 24 . . . 39713 341 1 SCIENCE science NN 39713 341 2 AND and CC 39713 341 3 HYPOTHESIS hypothesis NN 39713 341 4 INTRODUCTION introduction NN 39713 341 5 For for IN 39713 341 6 a a DT 39713 341 7 superficial superficial JJ 39713 341 8 observer observer NN 39713 341 9 , , , 39713 341 10 scientific scientific JJ 39713 341 11 truth truth NN 39713 341 12 is be VBZ 39713 341 13 beyond beyond IN 39713 341 14 the the DT 39713 341 15 possibility possibility NN 39713 341 16 of of IN 39713 341 17 doubt doubt NN 39713 341 18 ; ; : 39713 341 19 the the DT 39713 341 20 logic logic NN 39713 341 21 of of IN 39713 341 22 science science NN 39713 341 23 is be VBZ 39713 341 24 infallible infallible JJ 39713 341 25 , , , 39713 341 26 and and CC 39713 341 27 if if IN 39713 341 28 the the DT 39713 341 29 scientists scientist NNS 39713 341 30 are be VBP 39713 341 31 sometimes sometimes RB 39713 341 32 mistaken mistaken JJ 39713 341 33 , , , 39713 341 34 this this DT 39713 341 35 is be VBZ 39713 341 36 only only RB 39713 341 37 from from IN 39713 341 38 their -PRON- PRP$ 39713 341 39 mistaking mistake VBG 39713 341 40 its -PRON- PRP$ 39713 341 41 rules rule NNS 39713 341 42 . . . 39713 342 1 " " `` 39713 342 2 The the DT 39713 342 3 mathematical mathematical JJ 39713 342 4 verities verity NNS 39713 342 5 flow flow VBP 39713 342 6 from from IN 39713 342 7 a a DT 39713 342 8 small small JJ 39713 342 9 number number NN 39713 342 10 of of IN 39713 342 11 self self NN 39713 342 12 - - HYPH 39713 342 13 evident evident JJ 39713 342 14 propositions proposition NNS 39713 342 15 by by IN 39713 342 16 a a DT 39713 342 17 chain chain NN 39713 342 18 of of IN 39713 342 19 impeccable impeccable JJ 39713 342 20 reasonings reasoning NNS 39713 342 21 ; ; : 39713 342 22 they -PRON- PRP 39713 342 23 impose impose VBP 39713 342 24 themselves -PRON- PRP 39713 342 25 not not RB 39713 342 26 only only RB 39713 342 27 on on IN 39713 342 28 us -PRON- PRP 39713 342 29 , , , 39713 342 30 but but CC 39713 342 31 on on IN 39713 342 32 nature nature NN 39713 342 33 itself -PRON- PRP 39713 342 34 . . . 39713 343 1 They -PRON- PRP 39713 343 2 fetter fetter VBP 39713 343 3 , , , 39713 343 4 so so RB 39713 343 5 to to TO 39713 343 6 speak speak VB 39713 343 7 , , , 39713 343 8 the the DT 39713 343 9 Creator Creator NNP 39713 343 10 and and CC 39713 343 11 only only RB 39713 343 12 permit permit VB 39713 343 13 him -PRON- PRP 39713 343 14 to to TO 39713 343 15 choose choose VB 39713 343 16 between between IN 39713 343 17 some some DT 39713 343 18 relatively relatively RB 39713 343 19 few few JJ 39713 343 20 solutions solution NNS 39713 343 21 . . . 39713 344 1 A a DT 39713 344 2 few few JJ 39713 344 3 experiments experiment NNS 39713 344 4 then then RB 39713 344 5 will will MD 39713 344 6 suffice suffice VB 39713 344 7 to to TO 39713 344 8 let let VB 39713 344 9 us -PRON- PRP 39713 344 10 know know VB 39713 344 11 what what WP 39713 344 12 choice choice NN 39713 344 13 he -PRON- PRP 39713 344 14 has have VBZ 39713 344 15 made make VBN 39713 344 16 . . . 39713 345 1 From from IN 39713 345 2 each each DT 39713 345 3 experiment experiment NN 39713 345 4 a a DT 39713 345 5 crowd crowd NN 39713 345 6 of of IN 39713 345 7 consequences consequence NNS 39713 345 8 will will MD 39713 345 9 follow follow VB 39713 345 10 by by IN 39713 345 11 a a DT 39713 345 12 series series NN 39713 345 13 of of IN 39713 345 14 mathematical mathematical JJ 39713 345 15 deductions deduction NNS 39713 345 16 , , , 39713 345 17 and and CC 39713 345 18 thus thus RB 39713 345 19 each each DT 39713 345 20 experiment experiment NN 39713 345 21 will will MD 39713 345 22 make make VB 39713 345 23 known known JJ 39713 345 24 to to IN 39713 345 25 us -PRON- PRP 39713 345 26 a a DT 39713 345 27 corner corner NN 39713 345 28 of of IN 39713 345 29 the the DT 39713 345 30 universe universe NN 39713 345 31 . . . 39713 345 32 " " '' 39713 346 1 Behold behold VB 39713 346 2 what what WP 39713 346 3 is be VBZ 39713 346 4 for for IN 39713 346 5 many many JJ 39713 346 6 people people NNS 39713 346 7 in in IN 39713 346 8 the the DT 39713 346 9 world world NN 39713 346 10 , , , 39713 346 11 for for IN 39713 346 12 scholars scholar NNS 39713 346 13 getting get VBG 39713 346 14 their -PRON- PRP$ 39713 346 15 first first JJ 39713 346 16 notions notion NNS 39713 346 17 of of IN 39713 346 18 physics physics NN 39713 346 19 , , , 39713 346 20 the the DT 39713 346 21 origin origin NN 39713 346 22 of of IN 39713 346 23 scientific scientific JJ 39713 346 24 certitude certitude NN 39713 346 25 . . . 39713 347 1 This this DT 39713 347 2 is be VBZ 39713 347 3 what what WP 39713 347 4 they -PRON- PRP 39713 347 5 suppose suppose VBP 39713 347 6 to to TO 39713 347 7 be be VB 39713 347 8 the the DT 39713 347 9 rôle rôle NN 39713 347 10 of of IN 39713 347 11 experimentation experimentation NN 39713 347 12 and and CC 39713 347 13 mathematics mathematic NNS 39713 347 14 . . . 39713 348 1 This this DT 39713 348 2 same same JJ 39713 348 3 conception conception NN 39713 348 4 , , , 39713 348 5 a a DT 39713 348 6 hundred hundred CD 39713 348 7 years year NNS 39713 348 8 ago ago RB 39713 348 9 , , , 39713 348 10 was be VBD 39713 348 11 held hold VBN 39713 348 12 by by IN 39713 348 13 many many JJ 39713 348 14 savants savant NNS 39713 348 15 who who WP 39713 348 16 dreamed dream VBD 39713 348 17 of of IN 39713 348 18 constructing construct VBG 39713 348 19 the the DT 39713 348 20 world world NN 39713 348 21 with with IN 39713 348 22 as as RB 39713 348 23 little little JJ 39713 348 24 as as IN 39713 348 25 possible possible JJ 39713 348 26 taken take VBN 39713 348 27 from from IN 39713 348 28 experiment experiment NN 39713 348 29 . . . 39713 349 1 On on IN 39713 349 2 a a DT 39713 349 3 little little JJ 39713 349 4 more more JJR 39713 349 5 reflection reflection NN 39713 349 6 it -PRON- PRP 39713 349 7 was be VBD 39713 349 8 perceived perceive VBN 39713 349 9 how how WRB 39713 349 10 great great JJ 39713 349 11 a a DT 39713 349 12 place place NN 39713 349 13 hypothesis hypothesis NN 39713 349 14 occupies occupie NNS 39713 349 15 ; ; : 39713 349 16 that that IN 39713 349 17 the the DT 39713 349 18 mathematician mathematician NN 39713 349 19 can can MD 39713 349 20 not not RB 39713 349 21 do do VB 39713 349 22 without without IN 39713 349 23 it -PRON- PRP 39713 349 24 , , , 39713 349 25 still still RB 39713 349 26 less less JJR 39713 349 27 the the DT 39713 349 28 experimenter experimenter NN 39713 349 29 . . . 39713 350 1 And and CC 39713 350 2 then then RB 39713 350 3 it -PRON- PRP 39713 350 4 was be VBD 39713 350 5 doubted doubt VBN 39713 350 6 if if IN 39713 350 7 all all PDT 39713 350 8 these these DT 39713 350 9 constructions construction NNS 39713 350 10 were be VBD 39713 350 11 really really RB 39713 350 12 solid solid JJ 39713 350 13 , , , 39713 350 14 and and CC 39713 350 15 believed believe VBD 39713 350 16 that that IN 39713 350 17 a a DT 39713 350 18 breath breath NN 39713 350 19 would would MD 39713 350 20 overthrow overthrow VB 39713 350 21 them -PRON- PRP 39713 350 22 . . . 39713 351 1 To to TO 39713 351 2 be be VB 39713 351 3 skeptical skeptical JJ 39713 351 4 in in IN 39713 351 5 this this DT 39713 351 6 fashion fashion NN 39713 351 7 is be VBZ 39713 351 8 still still RB 39713 351 9 to to TO 39713 351 10 be be VB 39713 351 11 superficial superficial JJ 39713 351 12 . . . 39713 352 1 To to TO 39713 352 2 doubt doubt VB 39713 352 3 everything everything NN 39713 352 4 and and CC 39713 352 5 to to TO 39713 352 6 believe believe VB 39713 352 7 everything everything NN 39713 352 8 are be VBP 39713 352 9 two two CD 39713 352 10 equally equally RB 39713 352 11 convenient convenient JJ 39713 352 12 solutions solution NNS 39713 352 13 ; ; : 39713 352 14 each each DT 39713 352 15 saves save VBZ 39713 352 16 us -PRON- PRP 39713 352 17 from from IN 39713 352 18 thinking think VBG 39713 352 19 . . . 39713 353 1 Instead instead RB 39713 353 2 of of IN 39713 353 3 pronouncing pronounce VBG 39713 353 4 a a DT 39713 353 5 summary summary NN 39713 353 6 condemnation condemnation NN 39713 353 7 , , , 39713 353 8 we -PRON- PRP 39713 353 9 ought ought MD 39713 353 10 therefore therefore RB 39713 353 11 to to TO 39713 353 12 examine examine VB 39713 353 13 with with IN 39713 353 14 care care NN 39713 353 15 the the DT 39713 353 16 rôle rôle NN 39713 353 17 of of IN 39713 353 18 hypothesis hypothesis NN 39713 353 19 ; ; : 39713 353 20 we -PRON- PRP 39713 353 21 shall shall MD 39713 353 22 then then RB 39713 353 23 recognize recognize VB 39713 353 24 , , , 39713 353 25 not not RB 39713 353 26 only only RB 39713 353 27 that that IN 39713 353 28 it -PRON- PRP 39713 353 29 is be VBZ 39713 353 30 necessary necessary JJ 39713 353 31 , , , 39713 353 32 but but CC 39713 353 33 that that IN 39713 353 34 usually usually RB 39713 353 35 it -PRON- PRP 39713 353 36 is be VBZ 39713 353 37 legitimate legitimate JJ 39713 353 38 . . . 39713 354 1 We -PRON- PRP 39713 354 2 shall shall MD 39713 354 3 also also RB 39713 354 4 see see VB 39713 354 5 that that IN 39713 354 6 there there EX 39713 354 7 are be VBP 39713 354 8 several several JJ 39713 354 9 sorts sort NNS 39713 354 10 of of IN 39713 354 11 hypotheses hypothesis NNS 39713 354 12 ; ; : 39713 354 13 that that IN 39713 354 14 some some DT 39713 354 15 are be VBP 39713 354 16 verifiable verifiable JJ 39713 354 17 , , , 39713 354 18 and and CC 39713 354 19 once once RB 39713 354 20 confirmed confirm VBN 39713 354 21 by by IN 39713 354 22 experiment experiment NN 39713 354 23 become become VBP 39713 354 24 fruitful fruitful JJ 39713 354 25 truths truth NNS 39713 354 26 ; ; : 39713 354 27 that that IN 39713 354 28 others other NNS 39713 354 29 , , , 39713 354 30 powerless powerless JJ 39713 354 31 to to TO 39713 354 32 lead lead VB 39713 354 33 us -PRON- PRP 39713 354 34 astray astray NNP 39713 354 35 , , , 39713 354 36 may may MD 39713 354 37 be be VB 39713 354 38 useful useful JJ 39713 354 39 to to IN 39713 354 40 us -PRON- PRP 39713 354 41 in in IN 39713 354 42 fixing fix VBG 39713 354 43 our -PRON- PRP$ 39713 354 44 ideas idea NNS 39713 354 45 ; ; : 39713 354 46 that that IN 39713 354 47 others other NNS 39713 354 48 , , , 39713 354 49 finally finally RB 39713 354 50 , , , 39713 354 51 are be VBP 39713 354 52 hypotheses hypothesis NNS 39713 354 53 only only RB 39713 354 54 in in IN 39713 354 55 appearance appearance NN 39713 354 56 and and CC 39713 354 57 are be VBP 39713 354 58 reducible reducible JJ 39713 354 59 to to IN 39713 354 60 disguised disguised JJ 39713 354 61 definitions definition NNS 39713 354 62 or or CC 39713 354 63 conventions convention NNS 39713 354 64 . . . 39713 355 1 These these DT 39713 355 2 last last JJ 39713 355 3 are be VBP 39713 355 4 met meet VBN 39713 355 5 with with IN 39713 355 6 above above IN 39713 355 7 all all DT 39713 355 8 in in IN 39713 355 9 mathematics mathematic NNS 39713 355 10 and and CC 39713 355 11 the the DT 39713 355 12 related related JJ 39713 355 13 sciences science NNS 39713 355 14 . . . 39713 356 1 Thence thence NN 39713 356 2 precisely precisely RB 39713 356 3 it -PRON- PRP 39713 356 4 is be VBZ 39713 356 5 that that IN 39713 356 6 these these DT 39713 356 7 sciences science NNS 39713 356 8 get get VBP 39713 356 9 their -PRON- PRP$ 39713 356 10 rigor rigor NN 39713 356 11 ; ; : 39713 356 12 these these DT 39713 356 13 conventions convention NNS 39713 356 14 are be VBP 39713 356 15 the the DT 39713 356 16 work work NN 39713 356 17 of of IN 39713 356 18 the the DT 39713 356 19 free free JJ 39713 356 20 activity activity NN 39713 356 21 of of IN 39713 356 22 our -PRON- PRP$ 39713 356 23 mind mind NN 39713 356 24 , , , 39713 356 25 which which WDT 39713 356 26 , , , 39713 356 27 in in IN 39713 356 28 this this DT 39713 356 29 domain domain NN 39713 356 30 , , , 39713 356 31 recognizes recognize VBZ 39713 356 32 no no DT 39713 356 33 obstacle obstacle NN 39713 356 34 . . . 39713 357 1 Here here RB 39713 357 2 our -PRON- PRP$ 39713 357 3 mind mind NN 39713 357 4 can can MD 39713 357 5 affirm affirm VB 39713 357 6 , , , 39713 357 7 since since IN 39713 357 8 it -PRON- PRP 39713 357 9 decrees decree VBZ 39713 357 10 ; ; : 39713 357 11 but but CC 39713 357 12 let let VB 39713 357 13 us -PRON- PRP 39713 357 14 understand understand VB 39713 357 15 that that IN 39713 357 16 while while IN 39713 357 17 these these DT 39713 357 18 decrees decree NNS 39713 357 19 are be VBP 39713 357 20 imposed impose VBN 39713 357 21 upon upon IN 39713 357 22 _ _ NNP 39713 357 23 our -PRON- PRP$ 39713 357 24 _ _ NNP 39713 357 25 science science NN 39713 357 26 , , , 39713 357 27 which which WDT 39713 357 28 , , , 39713 357 29 without without IN 39713 357 30 them -PRON- PRP 39713 357 31 , , , 39713 357 32 would would MD 39713 357 33 be be VB 39713 357 34 impossible impossible JJ 39713 357 35 , , , 39713 357 36 they -PRON- PRP 39713 357 37 are be VBP 39713 357 38 not not RB 39713 357 39 imposed impose VBN 39713 357 40 upon upon IN 39713 357 41 nature nature NN 39713 357 42 . . . 39713 358 1 Are be VBP 39713 358 2 they -PRON- PRP 39713 358 3 then then RB 39713 358 4 arbitrary arbitrary JJ 39713 358 5 ? ? . 39713 359 1 No no UH 39713 359 2 , , , 39713 359 3 else else RB 39713 359 4 were be VBD 39713 359 5 they -PRON- PRP 39713 359 6 sterile sterile JJ 39713 359 7 . . . 39713 360 1 Experiment experiment NN 39713 360 2 leaves leave VBZ 39713 360 3 us -PRON- PRP 39713 360 4 our -PRON- PRP$ 39713 360 5 freedom freedom NN 39713 360 6 of of IN 39713 360 7 choice choice NN 39713 360 8 , , , 39713 360 9 but but CC 39713 360 10 it -PRON- PRP 39713 360 11 guides guide VBZ 39713 360 12 us -PRON- PRP 39713 360 13 by by IN 39713 360 14 aiding aid VBG 39713 360 15 us -PRON- PRP 39713 360 16 to to TO 39713 360 17 discern discern VB 39713 360 18 the the DT 39713 360 19 easiest easy JJS 39713 360 20 way way NN 39713 360 21 . . . 39713 361 1 Our -PRON- PRP$ 39713 361 2 decrees decree NNS 39713 361 3 are be VBP 39713 361 4 therefore therefore RB 39713 361 5 like like IN 39713 361 6 those those DT 39713 361 7 of of IN 39713 361 8 a a DT 39713 361 9 prince prince NN 39713 361 10 , , , 39713 361 11 absolute absolute JJ 39713 361 12 but but CC 39713 361 13 wise wise JJ 39713 361 14 , , , 39713 361 15 who who WP 39713 361 16 consults consult VBZ 39713 361 17 his -PRON- PRP$ 39713 361 18 council council NN 39713 361 19 of of IN 39713 361 20 state state NN 39713 361 21 . . . 39713 362 1 Some some DT 39713 362 2 people people NNS 39713 362 3 have have VBP 39713 362 4 been be VBN 39713 362 5 struck strike VBN 39713 362 6 by by IN 39713 362 7 this this DT 39713 362 8 character character NN 39713 362 9 of of IN 39713 362 10 free free JJ 39713 362 11 convention convention NN 39713 362 12 recognizable recognizable JJ 39713 362 13 in in IN 39713 362 14 certain certain JJ 39713 362 15 fundamental fundamental JJ 39713 362 16 principles principle NNS 39713 362 17 of of IN 39713 362 18 the the DT 39713 362 19 sciences science NNS 39713 362 20 . . . 39713 363 1 They -PRON- PRP 39713 363 2 have have VBP 39713 363 3 wished wish VBN 39713 363 4 to to TO 39713 363 5 generalize generalize VB 39713 363 6 beyond beyond IN 39713 363 7 measure measure NN 39713 363 8 , , , 39713 363 9 and and CC 39713 363 10 , , , 39713 363 11 at at IN 39713 363 12 the the DT 39713 363 13 same same JJ 39713 363 14 time time NN 39713 363 15 , , , 39713 363 16 they -PRON- PRP 39713 363 17 have have VBP 39713 363 18 forgotten forget VBN 39713 363 19 that that IN 39713 363 20 liberty liberty NN 39713 363 21 is be VBZ 39713 363 22 not not RB 39713 363 23 license license NN 39713 363 24 . . . 39713 364 1 Thus thus RB 39713 364 2 they -PRON- PRP 39713 364 3 have have VBP 39713 364 4 reached reach VBN 39713 364 5 what what WP 39713 364 6 is be VBZ 39713 364 7 called call VBN 39713 364 8 _ _ NNP 39713 364 9 nominalism nominalism NN 39713 364 10 _ _ NNP 39713 364 11 , , , 39713 364 12 and and CC 39713 364 13 have have VBP 39713 364 14 asked ask VBN 39713 364 15 themselves -PRON- PRP 39713 364 16 if if IN 39713 364 17 the the DT 39713 364 18 savant savant NN 39713 364 19 is be VBZ 39713 364 20 not not RB 39713 364 21 the the DT 39713 364 22 dupe dupe NN 39713 364 23 of of IN 39713 364 24 his -PRON- PRP$ 39713 364 25 own own JJ 39713 364 26 definitions definition NNS 39713 364 27 and and CC 39713 364 28 if if IN 39713 364 29 the the DT 39713 364 30 world world NN 39713 364 31 he -PRON- PRP 39713 364 32 thinks think VBZ 39713 364 33 he -PRON- PRP 39713 364 34 discovers discover VBZ 39713 364 35 is be VBZ 39713 364 36 not not RB 39713 364 37 simply simply RB 39713 364 38 created create VBN 39713 364 39 by by IN 39713 364 40 his -PRON- PRP$ 39713 364 41 own own JJ 39713 364 42 caprice caprice NN 39713 364 43 . . . 39713 365 1 [ [ -LRB- 39713 365 2 1 1 LS 39713 365 3 ] ] -RRB- 39713 365 4 Under under IN 39713 365 5 these these DT 39713 365 6 conditions condition NNS 39713 365 7 science science NN 39713 365 8 would would MD 39713 365 9 be be VB 39713 365 10 certain certain JJ 39713 365 11 , , , 39713 365 12 but but CC 39713 365 13 deprived deprive VBN 39713 365 14 of of IN 39713 365 15 significance significance NN 39713 365 16 . . . 39713 366 1 [ [ -LRB- 39713 366 2 1 1 LS 39713 366 3 ] ] -RRB- 39713 366 4 See see VB 39713 366 5 Le Le NNP 39713 366 6 Roy Roy NNP 39713 366 7 , , , 39713 366 8 ' ' '' 39713 366 9 Science Science NNP 39713 366 10 et et NNP 39713 366 11 Philosophie Philosophie NNP 39713 366 12 , , , 39713 366 13 ' ' '' 39713 366 14 _ _ NNP 39713 366 15 Revue Revue NNP 39713 366 16 de de NNP 39713 366 17 Métaphysique Métaphysique NNP 39713 366 18 et et FW 39713 366 19 de de FW 39713 366 20 Morale Morale NNP 39713 366 21 _ _ NNP 39713 366 22 , , , 39713 366 23 1901 1901 CD 39713 366 24 . . . 39713 367 1 If if IN 39713 367 2 this this DT 39713 367 3 were be VBD 39713 367 4 so so RB 39713 367 5 , , , 39713 367 6 science science NN 39713 367 7 would would MD 39713 367 8 be be VB 39713 367 9 powerless powerless JJ 39713 367 10 . . . 39713 368 1 Now now RB 39713 368 2 every every DT 39713 368 3 day day NN 39713 368 4 we -PRON- PRP 39713 368 5 see see VBP 39713 368 6 it -PRON- PRP 39713 368 7 work work VB 39713 368 8 under under IN 39713 368 9 our -PRON- PRP$ 39713 368 10 very very JJ 39713 368 11 eyes eye NNS 39713 368 12 . . . 39713 369 1 That that DT 39713 369 2 could could MD 39713 369 3 not not RB 39713 369 4 be be VB 39713 369 5 if if IN 39713 369 6 it -PRON- PRP 39713 369 7 taught teach VBD 39713 369 8 us -PRON- PRP 39713 369 9 nothing nothing NN 39713 369 10 of of IN 39713 369 11 reality reality NN 39713 369 12 . . . 39713 370 1 Still still RB 39713 370 2 , , , 39713 370 3 the the DT 39713 370 4 things thing NNS 39713 370 5 themselves -PRON- PRP 39713 370 6 are be VBP 39713 370 7 not not RB 39713 370 8 what what WP 39713 370 9 it -PRON- PRP 39713 370 10 can can MD 39713 370 11 reach reach VB 39713 370 12 , , , 39713 370 13 as as IN 39713 370 14 the the DT 39713 370 15 naïve naïve JJ 39713 370 16 dogmatists dogmatist NNS 39713 370 17 think think VBP 39713 370 18 , , , 39713 370 19 but but CC 39713 370 20 only only RB 39713 370 21 the the DT 39713 370 22 relations relation NNS 39713 370 23 between between IN 39713 370 24 things thing NNS 39713 370 25 . . . 39713 371 1 Outside outside IN 39713 371 2 of of IN 39713 371 3 these these DT 39713 371 4 relations relation NNS 39713 371 5 there there EX 39713 371 6 is be VBZ 39713 371 7 no no DT 39713 371 8 knowable knowable JJ 39713 371 9 reality reality NN 39713 371 10 . . . 39713 372 1 Such such JJ 39713 372 2 is be VBZ 39713 372 3 the the DT 39713 372 4 conclusion conclusion NN 39713 372 5 to to TO 39713 372 6 which which WDT 39713 372 7 we -PRON- PRP 39713 372 8 shall shall MD 39713 372 9 come come VB 39713 372 10 , , , 39713 372 11 but but CC 39713 372 12 for for IN 39713 372 13 that that DT 39713 372 14 we -PRON- PRP 39713 372 15 must must MD 39713 372 16 review review VB 39713 372 17 the the DT 39713 372 18 series series NN 39713 372 19 of of IN 39713 372 20 sciences sciences NNPS 39713 372 21 from from IN 39713 372 22 arithmetic arithmetic JJ 39713 372 23 and and CC 39713 372 24 geometry geometry NN 39713 372 25 to to IN 39713 372 26 mechanics mechanic NNS 39713 372 27 and and CC 39713 372 28 experimental experimental JJ 39713 372 29 physics physic NNS 39713 372 30 . . . 39713 373 1 What what WP 39713 373 2 is be VBZ 39713 373 3 the the DT 39713 373 4 nature nature NN 39713 373 5 of of IN 39713 373 6 mathematical mathematical JJ 39713 373 7 reasoning reasoning NN 39713 373 8 ? ? . 39713 374 1 Is be VBZ 39713 374 2 is be VBZ 39713 374 3 really really RB 39713 374 4 deductive deductive JJ 39713 374 5 , , , 39713 374 6 as as IN 39713 374 7 is be VBZ 39713 374 8 commonly commonly RB 39713 374 9 supposed suppose VBN 39713 374 10 ? ? . 39713 375 1 A a DT 39713 375 2 deeper deep JJR 39713 375 3 analysis analysis NN 39713 375 4 shows show VBZ 39713 375 5 us -PRON- PRP 39713 375 6 that that IN 39713 375 7 it -PRON- PRP 39713 375 8 is be VBZ 39713 375 9 not not RB 39713 375 10 , , , 39713 375 11 that that IN 39713 375 12 it -PRON- PRP 39713 375 13 partakes partake VBZ 39713 375 14 in in IN 39713 375 15 a a DT 39713 375 16 certain certain JJ 39713 375 17 measure measure NN 39713 375 18 of of IN 39713 375 19 the the DT 39713 375 20 nature nature NN 39713 375 21 of of IN 39713 375 22 inductive inductive JJ 39713 375 23 reasoning reasoning NN 39713 375 24 , , , 39713 375 25 and and CC 39713 375 26 just just RB 39713 375 27 because because IN 39713 375 28 of of IN 39713 375 29 this this DT 39713 375 30 is be VBZ 39713 375 31 it -PRON- PRP 39713 375 32 so so RB 39713 375 33 fruitful fruitful JJ 39713 375 34 . . . 39713 376 1 None none NN 39713 376 2 the the DT 39713 376 3 less less RBR 39713 376 4 does do VBZ 39713 376 5 it -PRON- PRP 39713 376 6 retain retain VB 39713 376 7 its -PRON- PRP$ 39713 376 8 character character NN 39713 376 9 of of IN 39713 376 10 rigor rigor NNP 39713 376 11 absolute absolute JJ 39713 376 12 ; ; : 39713 376 13 this this DT 39713 376 14 is be VBZ 39713 376 15 the the DT 39713 376 16 first first JJ 39713 376 17 thing thing NN 39713 376 18 that that WDT 39713 376 19 had have VBD 39713 376 20 to to TO 39713 376 21 be be VB 39713 376 22 shown show VBN 39713 376 23 . . . 39713 377 1 Knowing know VBG 39713 377 2 better better RB 39713 377 3 now now RB 39713 377 4 one one CD 39713 377 5 of of IN 39713 377 6 the the DT 39713 377 7 instruments instrument NNS 39713 377 8 which which WDT 39713 377 9 mathematics mathematic NNS 39713 377 10 puts put VBZ 39713 377 11 into into IN 39713 377 12 the the DT 39713 377 13 hands hand NNS 39713 377 14 of of IN 39713 377 15 the the DT 39713 377 16 investigator investigator NN 39713 377 17 , , , 39713 377 18 we -PRON- PRP 39713 377 19 had have VBD 39713 377 20 to to TO 39713 377 21 analyze analyze VB 39713 377 22 another another DT 39713 377 23 fundamental fundamental JJ 39713 377 24 notion notion NN 39713 377 25 , , , 39713 377 26 that that DT 39713 377 27 of of IN 39713 377 28 mathematical mathematical JJ 39713 377 29 magnitude magnitude NN 39713 377 30 . . . 39713 378 1 Do do VBP 39713 378 2 we -PRON- PRP 39713 378 3 find find VB 39713 378 4 it -PRON- PRP 39713 378 5 in in IN 39713 378 6 nature nature NN 39713 378 7 , , , 39713 378 8 or or CC 39713 378 9 do do VBP 39713 378 10 we -PRON- PRP 39713 378 11 ourselves -PRON- PRP 39713 378 12 introduce introduce VB 39713 378 13 it -PRON- PRP 39713 378 14 there there RB 39713 378 15 ? ? . 39713 379 1 And and CC 39713 379 2 , , , 39713 379 3 in in IN 39713 379 4 this this DT 39713 379 5 latter latter JJ 39713 379 6 case case NN 39713 379 7 , , , 39713 379 8 do do VBP 39713 379 9 we -PRON- PRP 39713 379 10 not not RB 39713 379 11 risk risk VB 39713 379 12 marring mar VBG 39713 379 13 everything everything NN 39713 379 14 ? ? . 39713 380 1 Comparing compare VBG 39713 380 2 the the DT 39713 380 3 rough rough JJ 39713 380 4 data datum NNS 39713 380 5 of of IN 39713 380 6 our -PRON- PRP$ 39713 380 7 senses sense NNS 39713 380 8 with with IN 39713 380 9 that that DT 39713 380 10 extremely extremely RB 39713 380 11 complex complex JJ 39713 380 12 and and CC 39713 380 13 subtile subtile NN 39713 380 14 concept concept NN 39713 380 15 which which WDT 39713 380 16 mathematicians mathematician NNS 39713 380 17 call call VBP 39713 380 18 magnitude magnitude NN 39713 380 19 , , , 39713 380 20 we -PRON- PRP 39713 380 21 are be VBP 39713 380 22 forced force VBN 39713 380 23 to to TO 39713 380 24 recognize recognize VB 39713 380 25 a a DT 39713 380 26 difference difference NN 39713 380 27 ; ; : 39713 380 28 this this DT 39713 380 29 frame frame NN 39713 380 30 into into IN 39713 380 31 which which WDT 39713 380 32 we -PRON- PRP 39713 380 33 wish wish VBP 39713 380 34 to to TO 39713 380 35 force force VB 39713 380 36 everything everything NN 39713 380 37 is be VBZ 39713 380 38 of of IN 39713 380 39 our -PRON- PRP$ 39713 380 40 own own JJ 39713 380 41 construction construction NN 39713 380 42 ; ; : 39713 380 43 but but CC 39713 380 44 we -PRON- PRP 39713 380 45 have have VBP 39713 380 46 not not RB 39713 380 47 made make VBN 39713 380 48 it -PRON- PRP 39713 380 49 at at IN 39713 380 50 random random JJ 39713 380 51 . . . 39713 381 1 We -PRON- PRP 39713 381 2 have have VBP 39713 381 3 made make VBN 39713 381 4 it -PRON- PRP 39713 381 5 , , , 39713 381 6 so so RB 39713 381 7 to to TO 39713 381 8 speak speak VB 39713 381 9 , , , 39713 381 10 by by IN 39713 381 11 measure measure NN 39713 381 12 and and CC 39713 381 13 therefore therefore RB 39713 381 14 we -PRON- PRP 39713 381 15 can can MD 39713 381 16 make make VB 39713 381 17 the the DT 39713 381 18 facts fact NNS 39713 381 19 fit fit VB 39713 381 20 into into IN 39713 381 21 it -PRON- PRP 39713 381 22 without without IN 39713 381 23 changing change VBG 39713 381 24 what what WP 39713 381 25 is be VBZ 39713 381 26 essential essential JJ 39713 381 27 in in IN 39713 381 28 them -PRON- PRP 39713 381 29 . . . 39713 382 1 Another another DT 39713 382 2 frame frame NN 39713 382 3 which which WDT 39713 382 4 we -PRON- PRP 39713 382 5 impose impose VBP 39713 382 6 on on IN 39713 382 7 the the DT 39713 382 8 world world NN 39713 382 9 is be VBZ 39713 382 10 space space NN 39713 382 11 . . . 39713 383 1 Whence whence NN 39713 383 2 come come VBP 39713 383 3 the the DT 39713 383 4 first first JJ 39713 383 5 principles principle NNS 39713 383 6 of of IN 39713 383 7 geometry geometry NN 39713 383 8 ? ? . 39713 384 1 Are be VBP 39713 384 2 they -PRON- PRP 39713 384 3 imposed impose VBN 39713 384 4 on on IN 39713 384 5 us -PRON- PRP 39713 384 6 by by IN 39713 384 7 logic logic NN 39713 384 8 ? ? . 39713 385 1 Lobachevski Lobachevski NNP 39713 385 2 has have VBZ 39713 385 3 proved prove VBN 39713 385 4 not not RB 39713 385 5 , , , 39713 385 6 by by IN 39713 385 7 creating create VBG 39713 385 8 non non JJ 39713 385 9 - - JJ 39713 385 10 Euclidean euclidean JJ 39713 385 11 geometry geometry NN 39713 385 12 . . . 39713 386 1 Is be VBZ 39713 386 2 space space NN 39713 386 3 revealed reveal VBN 39713 386 4 to to IN 39713 386 5 us -PRON- PRP 39713 386 6 by by IN 39713 386 7 our -PRON- PRP$ 39713 386 8 senses sense NNS 39713 386 9 ? ? . 39713 387 1 Still still RB 39713 387 2 no no UH 39713 387 3 , , , 39713 387 4 for for IN 39713 387 5 the the DT 39713 387 6 space space NN 39713 387 7 our -PRON- PRP$ 39713 387 8 senses sense NNS 39713 387 9 could could MD 39713 387 10 show show VB 39713 387 11 us -PRON- PRP 39713 387 12 differs differ VBZ 39713 387 13 absolutely absolutely RB 39713 387 14 from from IN 39713 387 15 that that DT 39713 387 16 of of IN 39713 387 17 the the DT 39713 387 18 geometer geometer NN 39713 387 19 . . . 39713 388 1 Is be VBZ 39713 388 2 experience experience NN 39713 388 3 the the DT 39713 388 4 source source NN 39713 388 5 of of IN 39713 388 6 geometry geometry NN 39713 388 7 ? ? . 39713 389 1 A a DT 39713 389 2 deeper deep JJR 39713 389 3 discussion discussion NN 39713 389 4 will will MD 39713 389 5 show show VB 39713 389 6 us -PRON- PRP 39713 389 7 it -PRON- PRP 39713 389 8 is be VBZ 39713 389 9 not not RB 39713 389 10 . . . 39713 390 1 We -PRON- PRP 39713 390 2 therefore therefore RB 39713 390 3 conclude conclude VBP 39713 390 4 that that IN 39713 390 5 the the DT 39713 390 6 first first JJ 39713 390 7 principles principle NNS 39713 390 8 of of IN 39713 390 9 geometry geometry NN 39713 390 10 are be VBP 39713 390 11 only only RB 39713 390 12 conventions convention NNS 39713 390 13 ; ; : 39713 390 14 but but CC 39713 390 15 these these DT 39713 390 16 conventions convention NNS 39713 390 17 are be VBP 39713 390 18 not not RB 39713 390 19 arbitrary arbitrary JJ 39713 390 20 and and CC 39713 390 21 if if IN 39713 390 22 transported transport VBN 39713 390 23 into into IN 39713 390 24 another another DT 39713 390 25 world world NN 39713 390 26 ( ( -LRB- 39713 390 27 that that IN 39713 390 28 I -PRON- PRP 39713 390 29 call call VBP 39713 390 30 the the DT 39713 390 31 non non JJ 39713 390 32 - - JJ 39713 390 33 Euclidean euclidean JJ 39713 390 34 world world NN 39713 390 35 and and CC 39713 390 36 seek seek VB 39713 390 37 to to TO 39713 390 38 imagine imagine VB 39713 390 39 ) ) -RRB- 39713 390 40 , , , 39713 390 41 then then RB 39713 390 42 we -PRON- PRP 39713 390 43 should should MD 39713 390 44 have have VB 39713 390 45 been be VBN 39713 390 46 led lead VBN 39713 390 47 to to TO 39713 390 48 adopt adopt VB 39713 390 49 others other NNS 39713 390 50 . . . 39713 391 1 In in IN 39713 391 2 mechanics mechanic NNS 39713 391 3 we -PRON- PRP 39713 391 4 should should MD 39713 391 5 be be VB 39713 391 6 led lead VBN 39713 391 7 to to IN 39713 391 8 analogous analogous JJ 39713 391 9 conclusions conclusion NNS 39713 391 10 , , , 39713 391 11 and and CC 39713 391 12 should should MD 39713 391 13 see see VB 39713 391 14 that that IN 39713 391 15 the the DT 39713 391 16 principles principle NNS 39713 391 17 of of IN 39713 391 18 this this DT 39713 391 19 science science NN 39713 391 20 , , , 39713 391 21 though though IN 39713 391 22 more more RBR 39713 391 23 directly directly RB 39713 391 24 based base VBN 39713 391 25 on on IN 39713 391 26 experiment experiment NN 39713 391 27 , , , 39713 391 28 still still RB 39713 391 29 partake partake VB 39713 391 30 of of IN 39713 391 31 the the DT 39713 391 32 conventional conventional JJ 39713 391 33 character character NN 39713 391 34 of of IN 39713 391 35 the the DT 39713 391 36 geometric geometric JJ 39713 391 37 postulates postulate NNS 39713 391 38 . . . 39713 392 1 Thus thus RB 39713 392 2 far far RB 39713 392 3 nominalism nominalism NN 39713 392 4 triumphs triumph NNS 39713 392 5 ; ; : 39713 392 6 but but CC 39713 392 7 now now RB 39713 392 8 we -PRON- PRP 39713 392 9 arrive arrive VBP 39713 392 10 at at IN 39713 392 11 the the DT 39713 392 12 physical physical JJ 39713 392 13 sciences science NNS 39713 392 14 , , , 39713 392 15 properly properly RB 39713 392 16 so so RB 39713 392 17 called call VBN 39713 392 18 . . . 39713 393 1 Here here RB 39713 393 2 the the DT 39713 393 3 scene scene NN 39713 393 4 changes change VBZ 39713 393 5 ; ; : 39713 393 6 we -PRON- PRP 39713 393 7 meet meet VBP 39713 393 8 another another DT 39713 393 9 sort sort NN 39713 393 10 of of IN 39713 393 11 hypotheses hypothesis NNS 39713 393 12 and and CC 39713 393 13 we -PRON- PRP 39713 393 14 see see VBP 39713 393 15 their -PRON- PRP$ 39713 393 16 fertility fertility NN 39713 393 17 . . . 39713 394 1 Without without IN 39713 394 2 doubt doubt NN 39713 394 3 , , , 39713 394 4 at at IN 39713 394 5 first first JJ 39713 394 6 blush blush NN 39713 394 7 , , , 39713 394 8 the the DT 39713 394 9 theories theory NNS 39713 394 10 seem seem VBP 39713 394 11 to to IN 39713 394 12 us -PRON- PRP 39713 394 13 fragile fragile JJ 39713 394 14 , , , 39713 394 15 and and CC 39713 394 16 the the DT 39713 394 17 history history NN 39713 394 18 of of IN 39713 394 19 science science NN 39713 394 20 proves prove VBZ 39713 394 21 to to IN 39713 394 22 us -PRON- PRP 39713 394 23 how how WRB 39713 394 24 ephemeral ephemeral JJ 39713 394 25 they -PRON- PRP 39713 394 26 are be VBP 39713 394 27 ; ; : 39713 394 28 yet yet RB 39713 394 29 they -PRON- PRP 39713 394 30 do do VBP 39713 394 31 not not RB 39713 394 32 entirely entirely RB 39713 394 33 perish perish VB 39713 394 34 , , , 39713 394 35 and and CC 39713 394 36 of of IN 39713 394 37 each each DT 39713 394 38 of of IN 39713 394 39 them -PRON- PRP 39713 394 40 something something NN 39713 394 41 remains remain VBZ 39713 394 42 . . . 39713 395 1 It -PRON- PRP 39713 395 2 is be VBZ 39713 395 3 this this DT 39713 395 4 something something NN 39713 395 5 we -PRON- PRP 39713 395 6 must must MD 39713 395 7 seek seek VB 39713 395 8 to to TO 39713 395 9 disentangle disentangle VB 39713 395 10 , , , 39713 395 11 since since IN 39713 395 12 there there RB 39713 395 13 and and CC 39713 395 14 there there EX 39713 395 15 alone alone RB 39713 395 16 is be VBZ 39713 395 17 the the DT 39713 395 18 veritable veritable JJ 39713 395 19 reality reality NN 39713 395 20 . . . 39713 396 1 The the DT 39713 396 2 method method NN 39713 396 3 of of IN 39713 396 4 the the DT 39713 396 5 physical physical JJ 39713 396 6 sciences science NNS 39713 396 7 rests rest VBZ 39713 396 8 on on IN 39713 396 9 the the DT 39713 396 10 induction induction NN 39713 396 11 which which WDT 39713 396 12 makes make VBZ 39713 396 13 us -PRON- PRP 39713 396 14 expect expect VB 39713 396 15 the the DT 39713 396 16 repetition repetition NN 39713 396 17 of of IN 39713 396 18 a a DT 39713 396 19 phenomenon phenomenon NN 39713 396 20 when when WRB 39713 396 21 the the DT 39713 396 22 circumstances circumstance NNS 39713 396 23 under under IN 39713 396 24 which which WDT 39713 396 25 it -PRON- PRP 39713 396 26 first first RB 39713 396 27 happened happen VBD 39713 396 28 are be VBP 39713 396 29 reproduced reproduce VBN 39713 396 30 . . . 39713 397 1 If if IN 39713 397 2 _ _ NNP 39713 397 3 all all DT 39713 397 4 _ _ NNP 39713 397 5 these these DT 39713 397 6 circumstances circumstance NNS 39713 397 7 could could MD 39713 397 8 be be VB 39713 397 9 reproduced reproduce VBN 39713 397 10 at at IN 39713 397 11 once once RB 39713 397 12 , , , 39713 397 13 this this DT 39713 397 14 principle principle NN 39713 397 15 could could MD 39713 397 16 be be VB 39713 397 17 applied apply VBN 39713 397 18 without without IN 39713 397 19 fear fear NN 39713 397 20 ; ; : 39713 397 21 but but CC 39713 397 22 that that DT 39713 397 23 will will MD 39713 397 24 never never RB 39713 397 25 happen happen VB 39713 397 26 ; ; : 39713 397 27 some some DT 39713 397 28 of of IN 39713 397 29 these these DT 39713 397 30 circumstances circumstance NNS 39713 397 31 will will MD 39713 397 32 always always RB 39713 397 33 be be VB 39713 397 34 lacking lack VBG 39713 397 35 . . . 39713 398 1 Are be VBP 39713 398 2 we -PRON- PRP 39713 398 3 absolutely absolutely RB 39713 398 4 sure sure JJ 39713 398 5 they -PRON- PRP 39713 398 6 are be VBP 39713 398 7 unimportant unimportant JJ 39713 398 8 ? ? . 39713 399 1 Evidently evidently RB 39713 399 2 not not RB 39713 399 3 . . . 39713 400 1 That that DT 39713 400 2 may may MD 39713 400 3 be be VB 39713 400 4 probable probable JJ 39713 400 5 , , , 39713 400 6 it -PRON- PRP 39713 400 7 can can MD 39713 400 8 not not RB 39713 400 9 be be VB 39713 400 10 rigorously rigorously RB 39713 400 11 certain certain JJ 39713 400 12 . . . 39713 401 1 Hence hence RB 39713 401 2 the the DT 39713 401 3 important important JJ 39713 401 4 rôle rôle VBZ 39713 401 5 the the DT 39713 401 6 notion notion NN 39713 401 7 of of IN 39713 401 8 probability probability NN 39713 401 9 plays play NNS 39713 401 10 in in IN 39713 401 11 the the DT 39713 401 12 physical physical JJ 39713 401 13 sciences science NNS 39713 401 14 . . . 39713 402 1 The the DT 39713 402 2 calculus calculus NN 39713 402 3 of of IN 39713 402 4 probabilities probability NNS 39713 402 5 is be VBZ 39713 402 6 therefore therefore RB 39713 402 7 not not RB 39713 402 8 merely merely RB 39713 402 9 a a DT 39713 402 10 recreation recreation NN 39713 402 11 or or CC 39713 402 12 a a DT 39713 402 13 guide guide NN 39713 402 14 to to IN 39713 402 15 players player NNS 39713 402 16 of of IN 39713 402 17 baccarat baccarat NN 39713 402 18 , , , 39713 402 19 and and CC 39713 402 20 we -PRON- PRP 39713 402 21 must must MD 39713 402 22 seek seek VB 39713 402 23 to to TO 39713 402 24 go go VB 39713 402 25 deeper deeply RBR 39713 402 26 with with IN 39713 402 27 its -PRON- PRP$ 39713 402 28 foundations foundation NNS 39713 402 29 . . . 39713 403 1 Under under IN 39713 403 2 this this DT 39713 403 3 head head NN 39713 403 4 I -PRON- PRP 39713 403 5 have have VBP 39713 403 6 been be VBN 39713 403 7 able able JJ 39713 403 8 to to TO 39713 403 9 give give VB 39713 403 10 only only RB 39713 403 11 very very RB 39713 403 12 incomplete incomplete JJ 39713 403 13 results result NNS 39713 403 14 , , , 39713 403 15 so so CC 39713 403 16 strongly strongly RB 39713 403 17 does do VBZ 39713 403 18 this this DT 39713 403 19 vague vague JJ 39713 403 20 instinct instinct NN 39713 403 21 which which WDT 39713 403 22 lets let VBZ 39713 403 23 us -PRON- PRP 39713 403 24 discern discern JJ 39713 403 25 probability probability NN 39713 403 26 defy defy VB 39713 403 27 analysis analysis NN 39713 403 28 . . . 39713 404 1 After after IN 39713 404 2 a a DT 39713 404 3 study study NN 39713 404 4 of of IN 39713 404 5 the the DT 39713 404 6 conditions condition NNS 39713 404 7 under under IN 39713 404 8 which which WDT 39713 404 9 the the DT 39713 404 10 physicist physicist JJ 39713 404 11 works work NNS 39713 404 12 , , , 39713 404 13 I -PRON- PRP 39713 404 14 have have VBP 39713 404 15 thought think VBN 39713 404 16 proper proper JJ 39713 404 17 to to TO 39713 404 18 show show VB 39713 404 19 him -PRON- PRP 39713 404 20 at at IN 39713 404 21 work work NN 39713 404 22 . . . 39713 405 1 For for IN 39713 405 2 that that DT 39713 405 3 I -PRON- PRP 39713 405 4 have have VBP 39713 405 5 taken take VBN 39713 405 6 instances instance NNS 39713 405 7 from from IN 39713 405 8 the the DT 39713 405 9 history history NN 39713 405 10 of of IN 39713 405 11 optics optic NNS 39713 405 12 and and CC 39713 405 13 of of IN 39713 405 14 electricity electricity NN 39713 405 15 . . . 39713 406 1 We -PRON- PRP 39713 406 2 shall shall MD 39713 406 3 see see VB 39713 406 4 whence whence NN 39713 406 5 have have VBP 39713 406 6 sprung spring VBN 39713 406 7 the the DT 39713 406 8 ideas idea NNS 39713 406 9 of of IN 39713 406 10 Fresnel Fresnel NNP 39713 406 11 , , , 39713 406 12 of of IN 39713 406 13 Maxwell Maxwell NNP 39713 406 14 , , , 39713 406 15 and and CC 39713 406 16 what what WP 39713 406 17 unconscious unconscious JJ 39713 406 18 hypotheses hypothesis NNS 39713 406 19 were be VBD 39713 406 20 made make VBN 39713 406 21 by by IN 39713 406 22 Ampère Ampère NNP 39713 406 23 and and CC 39713 406 24 the the DT 39713 406 25 other other JJ 39713 406 26 founders founder NNS 39713 406 27 of of IN 39713 406 28 electrodynamics electrodynamic NNS 39713 406 29 . . . 39713 407 1 PART part NN 39713 407 2 I -PRON- PRP 39713 407 3 NUMBER number NN 39713 407 4 AND and CC 39713 407 5 MAGNITUDE magnitude NN 39713 407 6 CHAPTER CHAPTER NNP 39713 407 7 I -PRON- PRP 39713 407 8 ON on VBP 39713 407 9 THE the DT 39713 407 10 NATURE NATURE NNP 39713 407 11 OF of IN 39713 407 12 MATHEMATICAL MATHEMATICAL NNP 39713 407 13 REASONING reasoning VBP 39713 407 14 I -PRON- PRP 39713 407 15 The the DT 39713 407 16 very very JJ 39713 407 17 possibility possibility NN 39713 407 18 of of IN 39713 407 19 the the DT 39713 407 20 science science NN 39713 407 21 of of IN 39713 407 22 mathematics mathematic NNS 39713 407 23 seems seem VBZ 39713 407 24 an an DT 39713 407 25 insoluble insoluble JJ 39713 407 26 contradiction contradiction NN 39713 407 27 . . . 39713 408 1 If if IN 39713 408 2 this this DT 39713 408 3 science science NN 39713 408 4 is be VBZ 39713 408 5 deductive deductive JJ 39713 408 6 only only RB 39713 408 7 in in IN 39713 408 8 appearance appearance NN 39713 408 9 , , , 39713 408 10 whence whence NN 39713 408 11 does do VBZ 39713 408 12 it -PRON- PRP 39713 408 13 derive derive VB 39713 408 14 that that DT 39713 408 15 perfect perfect JJ 39713 408 16 rigor rigor VB 39713 408 17 no no DT 39713 408 18 one one NN 39713 408 19 dreams dream NNS 39713 408 20 of of IN 39713 408 21 doubting doubt VBG 39713 408 22 ? ? . 39713 409 1 If if IN 39713 409 2 , , , 39713 409 3 on on IN 39713 409 4 the the DT 39713 409 5 contrary contrary NN 39713 409 6 , , , 39713 409 7 all all PDT 39713 409 8 the the DT 39713 409 9 propositions proposition NNS 39713 409 10 it -PRON- PRP 39713 409 11 enunciates enunciate VBZ 39713 409 12 can can MD 39713 409 13 be be VB 39713 409 14 deduced deduce VBN 39713 409 15 one one CD 39713 409 16 from from IN 39713 409 17 another another DT 39713 409 18 by by IN 39713 409 19 the the DT 39713 409 20 rules rule NNS 39713 409 21 of of IN 39713 409 22 formal formal JJ 39713 409 23 logic logic NN 39713 409 24 , , , 39713 409 25 why why WRB 39713 409 26 is be VBZ 39713 409 27 not not RB 39713 409 28 mathematics mathematic NNS 39713 409 29 reduced reduce VBN 39713 409 30 to to IN 39713 409 31 an an DT 39713 409 32 immense immense JJ 39713 409 33 tautology tautology NN 39713 409 34 ? ? . 39713 410 1 The the DT 39713 410 2 syllogism syllogism NN 39713 410 3 can can MD 39713 410 4 teach teach VB 39713 410 5 us -PRON- PRP 39713 410 6 nothing nothing NN 39713 410 7 essentially essentially RB 39713 410 8 new new JJ 39713 410 9 , , , 39713 410 10 and and CC 39713 410 11 , , , 39713 410 12 if if IN 39713 410 13 everything everything NN 39713 410 14 is be VBZ 39713 410 15 to to TO 39713 410 16 spring spring VB 39713 410 17 from from IN 39713 410 18 the the DT 39713 410 19 principle principle NN 39713 410 20 of of IN 39713 410 21 identity identity NN 39713 410 22 , , , 39713 410 23 everything everything NN 39713 410 24 should should MD 39713 410 25 be be VB 39713 410 26 capable capable JJ 39713 410 27 of of IN 39713 410 28 being be VBG 39713 410 29 reduced reduce VBN 39713 410 30 to to IN 39713 410 31 it -PRON- PRP 39713 410 32 . . . 39713 411 1 Shall Shall MD 39713 411 2 we -PRON- PRP 39713 411 3 then then RB 39713 411 4 admit admit VB 39713 411 5 that that IN 39713 411 6 the the DT 39713 411 7 enunciations enunciation NNS 39713 411 8 of of IN 39713 411 9 all all PDT 39713 411 10 those those DT 39713 411 11 theorems theorem NNS 39713 411 12 which which WDT 39713 411 13 fill fill VBP 39713 411 14 so so RB 39713 411 15 many many JJ 39713 411 16 volumes volume NNS 39713 411 17 are be VBP 39713 411 18 nothing nothing NN 39713 411 19 but but IN 39713 411 20 devious devious JJ 39713 411 21 ways way NNS 39713 411 22 of of IN 39713 411 23 saying say VBG 39713 411 24 _ _ NNP 39713 411 25 A A NNP 39713 411 26 _ _ NNP 39713 411 27 is be VBZ 39713 411 28 _ _ NNP 39713 411 29 A A NNP 39713 411 30 _ _ NNP 39713 411 31 ? ? . 39713 412 1 Without without IN 39713 412 2 doubt doubt NN 39713 412 3 , , , 39713 412 4 we -PRON- PRP 39713 412 5 can can MD 39713 412 6 go go VB 39713 412 7 back back RB 39713 412 8 to to IN 39713 412 9 the the DT 39713 412 10 axioms axiom NNS 39713 412 11 , , , 39713 412 12 which which WDT 39713 412 13 are be VBP 39713 412 14 at at IN 39713 412 15 the the DT 39713 412 16 source source NN 39713 412 17 of of IN 39713 412 18 all all PDT 39713 412 19 these these DT 39713 412 20 reasonings reasoning NNS 39713 412 21 . . . 39713 413 1 If if IN 39713 413 2 we -PRON- PRP 39713 413 3 decide decide VBP 39713 413 4 that that IN 39713 413 5 these these DT 39713 413 6 can can MD 39713 413 7 not not RB 39713 413 8 be be VB 39713 413 9 reduced reduce VBN 39713 413 10 to to IN 39713 413 11 the the DT 39713 413 12 principle principle NN 39713 413 13 of of IN 39713 413 14 contradiction contradiction NN 39713 413 15 , , , 39713 413 16 if if IN 39713 413 17 still still RB 39713 413 18 less less RBR 39713 413 19 we -PRON- PRP 39713 413 20 see see VBP 39713 413 21 in in IN 39713 413 22 them -PRON- PRP 39713 413 23 experimental experimental JJ 39713 413 24 facts fact NNS 39713 413 25 which which WDT 39713 413 26 could could MD 39713 413 27 not not RB 39713 413 28 partake partake VB 39713 413 29 of of IN 39713 413 30 mathematical mathematical JJ 39713 413 31 necessity necessity NN 39713 413 32 , , , 39713 413 33 we -PRON- PRP 39713 413 34 have have VBP 39713 413 35 yet yet RB 39713 413 36 the the DT 39713 413 37 resource resource NN 39713 413 38 of of IN 39713 413 39 classing class VBG 39713 413 40 them -PRON- PRP 39713 413 41 among among IN 39713 413 42 synthetic synthetic JJ 39713 413 43 _ _ NNP 39713 413 44 a a DT 39713 413 45 priori priori FW 39713 413 46 _ _ NNP 39713 413 47 judgments judgment NNS 39713 413 48 . . . 39713 414 1 This this DT 39713 414 2 is be VBZ 39713 414 3 not not RB 39713 414 4 to to TO 39713 414 5 solve solve VB 39713 414 6 the the DT 39713 414 7 difficulty difficulty NN 39713 414 8 , , , 39713 414 9 but but CC 39713 414 10 only only RB 39713 414 11 to to TO 39713 414 12 baptize baptize VB 39713 414 13 it -PRON- PRP 39713 414 14 ; ; : 39713 414 15 and and CC 39713 414 16 even even RB 39713 414 17 if if IN 39713 414 18 the the DT 39713 414 19 nature nature NN 39713 414 20 of of IN 39713 414 21 synthetic synthetic JJ 39713 414 22 judgments judgment NNS 39713 414 23 were be VBD 39713 414 24 for for IN 39713 414 25 us -PRON- PRP 39713 414 26 no no DT 39713 414 27 mystery mystery NN 39713 414 28 , , , 39713 414 29 the the DT 39713 414 30 contradiction contradiction NN 39713 414 31 would would MD 39713 414 32 not not RB 39713 414 33 have have VB 39713 414 34 disappeared disappear VBN 39713 414 35 , , , 39713 414 36 it -PRON- PRP 39713 414 37 would would MD 39713 414 38 only only RB 39713 414 39 have have VB 39713 414 40 moved move VBN 39713 414 41 back back RB 39713 414 42 ; ; : 39713 414 43 syllogistic syllogistic JJ 39713 414 44 reasoning reasoning NN 39713 414 45 remains remain VBZ 39713 414 46 incapable incapable JJ 39713 414 47 of of IN 39713 414 48 adding add VBG 39713 414 49 anything anything NN 39713 414 50 to to IN 39713 414 51 the the DT 39713 414 52 data datum NNS 39713 414 53 given give VBN 39713 414 54 it -PRON- PRP 39713 414 55 : : : 39713 414 56 these these DT 39713 414 57 data datum NNS 39713 414 58 reduce reduce VBP 39713 414 59 themselves -PRON- PRP 39713 414 60 to to IN 39713 414 61 a a DT 39713 414 62 few few JJ 39713 414 63 axioms axiom NNS 39713 414 64 , , , 39713 414 65 and and CC 39713 414 66 we -PRON- PRP 39713 414 67 should should MD 39713 414 68 find find VB 39713 414 69 nothing nothing NN 39713 414 70 else else RB 39713 414 71 in in IN 39713 414 72 the the DT 39713 414 73 conclusions conclusion NNS 39713 414 74 . . . 39713 415 1 No no DT 39713 415 2 theorem theorem NN 39713 415 3 could could MD 39713 415 4 be be VB 39713 415 5 new new JJ 39713 415 6 if if IN 39713 415 7 no no DT 39713 415 8 new new JJ 39713 415 9 axiom axiom NN 39713 415 10 intervened intervene VBD 39713 415 11 in in IN 39713 415 12 its -PRON- PRP$ 39713 415 13 demonstration demonstration NN 39713 415 14 ; ; , 39713 415 15 reasoning reasoning NN 39713 415 16 could could MD 39713 415 17 give give VB 39713 415 18 us -PRON- PRP 39713 415 19 only only RB 39713 415 20 the the DT 39713 415 21 immediately immediately RB 39713 415 22 evident evident JJ 39713 415 23 verities verity NNS 39713 415 24 borrowed borrow VBN 39713 415 25 from from IN 39713 415 26 direct direct JJ 39713 415 27 intuition intuition NN 39713 415 28 ; ; : 39713 415 29 it -PRON- PRP 39713 415 30 would would MD 39713 415 31 be be VB 39713 415 32 only only RB 39713 415 33 an an DT 39713 415 34 intermediary intermediary JJ 39713 415 35 parasite parasite NN 39713 415 36 , , , 39713 415 37 and and CC 39713 415 38 therefore therefore RB 39713 415 39 should should MD 39713 415 40 we -PRON- PRP 39713 415 41 not not RB 39713 415 42 have have VB 39713 415 43 good good JJ 39713 415 44 reason reason NN 39713 415 45 to to TO 39713 415 46 ask ask VB 39713 415 47 whether whether IN 39713 415 48 the the DT 39713 415 49 whole whole JJ 39713 415 50 syllogistic syllogistic JJ 39713 415 51 apparatus apparatus NN 39713 415 52 did do VBD 39713 415 53 not not RB 39713 415 54 serve serve VB 39713 415 55 solely solely RB 39713 415 56 to to TO 39713 415 57 disguise disguise VB 39713 415 58 our -PRON- PRP$ 39713 415 59 borrowing borrowing NN 39713 415 60 ? ? . 39713 416 1 The the DT 39713 416 2 contradiction contradiction NN 39713 416 3 will will MD 39713 416 4 strike strike VB 39713 416 5 us -PRON- PRP 39713 416 6 the the DT 39713 416 7 more more JJR 39713 416 8 if if IN 39713 416 9 we -PRON- PRP 39713 416 10 open open VBP 39713 416 11 any any DT 39713 416 12 book book NN 39713 416 13 on on IN 39713 416 14 mathematics mathematic NNS 39713 416 15 ; ; : 39713 416 16 on on IN 39713 416 17 every every DT 39713 416 18 page page NN 39713 416 19 the the DT 39713 416 20 author author NN 39713 416 21 will will MD 39713 416 22 announce announce VB 39713 416 23 his -PRON- PRP$ 39713 416 24 intention intention NN 39713 416 25 of of IN 39713 416 26 generalizing generalize VBG 39713 416 27 some some DT 39713 416 28 proposition proposition NN 39713 416 29 already already RB 39713 416 30 known know VBN 39713 416 31 . . . 39713 417 1 Does do VBZ 39713 417 2 the the DT 39713 417 3 mathematical mathematical JJ 39713 417 4 method method NN 39713 417 5 proceed proceed NN 39713 417 6 from from IN 39713 417 7 the the DT 39713 417 8 particular particular JJ 39713 417 9 to to IN 39713 417 10 the the DT 39713 417 11 general general NN 39713 417 12 , , , 39713 417 13 and and CC 39713 417 14 , , , 39713 417 15 if if IN 39713 417 16 so so RB 39713 417 17 , , , 39713 417 18 how how WRB 39713 417 19 then then RB 39713 417 20 can can MD 39713 417 21 it -PRON- PRP 39713 417 22 be be VB 39713 417 23 called call VBN 39713 417 24 deductive deductive JJ 39713 417 25 ? ? . 39713 418 1 If if IN 39713 418 2 finally finally RB 39713 418 3 the the DT 39713 418 4 science science NN 39713 418 5 of of IN 39713 418 6 number number NN 39713 418 7 were be VBD 39713 418 8 purely purely RB 39713 418 9 analytic analytic JJ 39713 418 10 , , , 39713 418 11 or or CC 39713 418 12 could could MD 39713 418 13 be be VB 39713 418 14 analytically analytically RB 39713 418 15 derived derive VBN 39713 418 16 from from IN 39713 418 17 a a DT 39713 418 18 small small JJ 39713 418 19 number number NN 39713 418 20 of of IN 39713 418 21 synthetic synthetic JJ 39713 418 22 judgments judgment NNS 39713 418 23 , , , 39713 418 24 it -PRON- PRP 39713 418 25 seems seem VBZ 39713 418 26 that that IN 39713 418 27 a a DT 39713 418 28 mind mind NN 39713 418 29 sufficiently sufficiently RB 39713 418 30 powerful powerful JJ 39713 418 31 could could MD 39713 418 32 at at IN 39713 418 33 a a DT 39713 418 34 glance glance NN 39713 418 35 perceive perceive NN 39713 418 36 all all PDT 39713 418 37 its -PRON- PRP$ 39713 418 38 truths truth NNS 39713 418 39 ; ; : 39713 418 40 nay nay NNP 39713 418 41 more more JJR 39713 418 42 , , , 39713 418 43 we -PRON- PRP 39713 418 44 might may MD 39713 418 45 even even RB 39713 418 46 hope hope VB 39713 418 47 that that IN 39713 418 48 some some DT 39713 418 49 day day NN 39713 418 50 one one PRP 39713 418 51 would would MD 39713 418 52 invent invent VB 39713 418 53 to to TO 39713 418 54 express express VB 39713 418 55 them -PRON- PRP 39713 418 56 a a DT 39713 418 57 language language NN 39713 418 58 sufficiently sufficiently RB 39713 418 59 simple simple JJ 39713 418 60 to to TO 39713 418 61 have have VB 39713 418 62 them -PRON- PRP 39713 418 63 appear appear VB 39713 418 64 self self NN 39713 418 65 - - HYPH 39713 418 66 evident evident JJ 39713 418 67 to to IN 39713 418 68 an an DT 39713 418 69 ordinary ordinary JJ 39713 418 70 intelligence intelligence NN 39713 418 71 . . . 39713 419 1 If if IN 39713 419 2 we -PRON- PRP 39713 419 3 refuse refuse VBP 39713 419 4 to to TO 39713 419 5 admit admit VB 39713 419 6 these these DT 39713 419 7 consequences consequence NNS 39713 419 8 , , , 39713 419 9 it -PRON- PRP 39713 419 10 must must MD 39713 419 11 be be VB 39713 419 12 conceded concede VBN 39713 419 13 that that IN 39713 419 14 mathematical mathematical JJ 39713 419 15 reasoning reasoning NN 39713 419 16 has have VBZ 39713 419 17 of of IN 39713 419 18 itself -PRON- PRP 39713 419 19 a a DT 39713 419 20 sort sort NN 39713 419 21 of of IN 39713 419 22 creative creative JJ 39713 419 23 virtue virtue NN 39713 419 24 and and CC 39713 419 25 consequently consequently RB 39713 419 26 differs differ VBZ 39713 419 27 from from IN 39713 419 28 the the DT 39713 419 29 syllogism syllogism NN 39713 419 30 . . . 39713 420 1 The the DT 39713 420 2 difference difference NN 39713 420 3 must must MD 39713 420 4 even even RB 39713 420 5 be be VB 39713 420 6 profound profound JJ 39713 420 7 . . . 39713 421 1 We -PRON- PRP 39713 421 2 shall shall MD 39713 421 3 not not RB 39713 421 4 , , , 39713 421 5 for for IN 39713 421 6 example example NN 39713 421 7 , , , 39713 421 8 find find VB 39713 421 9 the the DT 39713 421 10 key key NN 39713 421 11 to to IN 39713 421 12 the the DT 39713 421 13 mystery mystery NN 39713 421 14 in in IN 39713 421 15 the the DT 39713 421 16 frequent frequent JJ 39713 421 17 use use NN 39713 421 18 of of IN 39713 421 19 that that DT 39713 421 20 rule rule NN 39713 421 21 according accord VBG 39713 421 22 to to IN 39713 421 23 which which WDT 39713 421 24 one one NN 39713 421 25 and and CC 39713 421 26 the the DT 39713 421 27 same same JJ 39713 421 28 uniform uniform JJ 39713 421 29 operation operation NN 39713 421 30 applied apply VBD 39713 421 31 to to IN 39713 421 32 two two CD 39713 421 33 equal equal JJ 39713 421 34 numbers number NNS 39713 421 35 will will MD 39713 421 36 give give VB 39713 421 37 identical identical JJ 39713 421 38 results result NNS 39713 421 39 . . . 39713 422 1 All all PDT 39713 422 2 these these DT 39713 422 3 modes mode NNS 39713 422 4 of of IN 39713 422 5 reasoning reasoning NN 39713 422 6 , , , 39713 422 7 whether whether IN 39713 422 8 or or CC 39713 422 9 not not RB 39713 422 10 they -PRON- PRP 39713 422 11 be be VBP 39713 422 12 reducible reducible JJ 39713 422 13 to to IN 39713 422 14 the the DT 39713 422 15 syllogism syllogism NN 39713 422 16 properly properly RB 39713 422 17 so so RB 39713 422 18 called call VBN 39713 422 19 , , , 39713 422 20 retain retain VB 39713 422 21 the the DT 39713 422 22 analytic analytic JJ 39713 422 23 character character NN 39713 422 24 , , , 39713 422 25 and and CC 39713 422 26 just just RB 39713 422 27 because because IN 39713 422 28 of of IN 39713 422 29 that that DT 39713 422 30 are be VBP 39713 422 31 powerless powerless JJ 39713 422 32 . . . 39713 423 1 II II NNP 39713 423 2 The the DT 39713 423 3 discussion discussion NN 39713 423 4 is be VBZ 39713 423 5 old old JJ 39713 423 6 ; ; : 39713 423 7 Leibnitz Leibnitz NNP 39713 423 8 tried try VBD 39713 423 9 to to TO 39713 423 10 prove prove VB 39713 423 11 2 2 CD 39713 423 12 and and CC 39713 423 13 2 2 CD 39713 423 14 make make VBP 39713 423 15 4 4 CD 39713 423 16 ; ; : 39713 423 17 let let VB 39713 423 18 us -PRON- PRP 39713 423 19 look look VB 39713 423 20 a a DT 39713 423 21 moment moment NN 39713 423 22 at at IN 39713 423 23 his -PRON- PRP$ 39713 423 24 demonstration demonstration NN 39713 423 25 . . . 39713 424 1 I -PRON- PRP 39713 424 2 will will MD 39713 424 3 suppose suppose VB 39713 424 4 the the DT 39713 424 5 number number NN 39713 424 6 1 1 CD 39713 424 7 defined define VBN 39713 424 8 and and CC 39713 424 9 also also RB 39713 424 10 the the DT 39713 424 11 operation operation NN 39713 424 12 _ _ NNP 39713 424 13 x x NNP 39713 424 14 _ _ NNP 39713 424 15 + + DT 39713 424 16 1 1 CD 39713 424 17 which which WDT 39713 424 18 consists consist VBZ 39713 424 19 in in IN 39713 424 20 adding add VBG 39713 424 21 unity unity NN 39713 424 22 to to IN 39713 424 23 a a DT 39713 424 24 given give VBN 39713 424 25 number number NN 39713 424 26 _ _ NNP 39713 424 27 x x NNP 39713 424 28 _ _ NNP 39713 424 29 . . . 39713 425 1 These these DT 39713 425 2 definitions definition NNS 39713 425 3 , , , 39713 425 4 whatever whatever WDT 39713 425 5 they -PRON- PRP 39713 425 6 be be VBP 39713 425 7 , , , 39713 425 8 do do VBP 39713 425 9 not not RB 39713 425 10 enter enter VB 39713 425 11 into into IN 39713 425 12 the the DT 39713 425 13 course course NN 39713 425 14 of of IN 39713 425 15 the the DT 39713 425 16 reasoning reasoning NN 39713 425 17 . . . 39713 426 1 I -PRON- PRP 39713 426 2 define define VBP 39713 426 3 then then RB 39713 426 4 the the DT 39713 426 5 numbers number NNS 39713 426 6 2 2 CD 39713 426 7 , , , 39713 426 8 3 3 CD 39713 426 9 and and CC 39713 426 10 4 4 CD 39713 426 11 by by IN 39713 426 12 the the DT 39713 426 13 equalities equality NNS 39713 426 14 ( ( -LRB- 39713 426 15 1 1 CD 39713 426 16 ) ) -RRB- 39713 426 17 1 1 CD 39713 426 18 + + SYM 39713 426 19 1 1 CD 39713 426 20 = = SYM 39713 426 21 2 2 CD 39713 426 22 ; ; : 39713 426 23 ( ( -LRB- 39713 426 24 2 2 LS 39713 426 25 ) ) -RRB- 39713 426 26 2 2 CD 39713 426 27 + + SYM 39713 426 28 1 1 CD 39713 426 29 = = SYM 39713 426 30 3 3 CD 39713 426 31 ; ; : 39713 426 32 ( ( -LRB- 39713 426 33 3 3 LS 39713 426 34 ) ) -RRB- 39713 426 35 3 3 CD 39713 426 36 + + SYM 39713 426 37 1 1 CD 39713 426 38 = = SYM 39713 426 39 4 4 CD 39713 426 40 . . . 39713 427 1 In in IN 39713 427 2 the the DT 39713 427 3 same same JJ 39713 427 4 way way NN 39713 427 5 , , , 39713 427 6 I -PRON- PRP 39713 427 7 define define VBP 39713 427 8 the the DT 39713 427 9 operation operation NN 39713 427 10 _ _ NNP 39713 427 11 x x NNP 39713 427 12 _ _ NNP 39713 427 13 + + CC 39713 427 14 2 2 CD 39713 427 15 by by IN 39713 427 16 the the DT 39713 427 17 relation relation NN 39713 427 18 : : : 39713 427 19 ( ( -LRB- 39713 427 20 4 4 LS 39713 427 21 ) ) -RRB- 39713 427 22 _ _ NNP 39713 427 23 x x NNP 39713 427 24 _ _ NNP 39713 427 25 + + CC 39713 427 26 2 2 CD 39713 427 27 = = SYM 39713 427 28 ( ( -LRB- 39713 427 29 _ _ NNP 39713 427 30 x x NNP 39713 427 31 _ _ NNP 39713 427 32 + + CC 39713 427 33 1 1 CD 39713 427 34 ) ) -RRB- 39713 427 35 + + CC 39713 427 36 1 1 CD 39713 427 37 . . . 39713 428 1 That that DT 39713 428 2 presupposed presuppose VBD 39713 428 3 , , , 39713 428 4 we -PRON- PRP 39713 428 5 have have VBP 39713 428 6 2 2 CD 39713 428 7 + + SYM 39713 428 8 1 1 CD 39713 428 9 + + SYM 39713 428 10 1 1 CD 39713 428 11 = = SYM 39713 428 12 3 3 CD 39713 428 13 + + SYM 39713 428 14 1 1 CD 39713 428 15 ( ( -LRB- 39713 428 16 Definition definition NN 39713 428 17 2 2 CD 39713 428 18 ) ) -RRB- 39713 428 19 , , , 39713 428 20 3 3 CD 39713 428 21 + + SYM 39713 428 22 1 1 CD 39713 428 23 = = SYM 39713 428 24 4 4 CD 39713 428 25 ( ( -LRB- 39713 428 26 Definition definition NN 39713 428 27 3 3 CD 39713 428 28 ) ) -RRB- 39713 428 29 , , , 39713 428 30 2 2 CD 39713 428 31 + + SYM 39713 428 32 2 2 CD 39713 428 33 = = SYM 39713 428 34 ( ( -LRB- 39713 428 35 2 2 CD 39713 428 36 + + SYM 39713 428 37 1 1 CD 39713 428 38 ) ) -RRB- 39713 428 39 + + CC 39713 428 40 1 1 CD 39713 428 41 ( ( -LRB- 39713 428 42 Definition definition NN 39713 428 43 4 4 CD 39713 428 44 ) ) -RRB- 39713 428 45 , , , 39713 428 46 whence whence NN 39713 428 47 2 2 CD 39713 428 48 + + SYM 39713 428 49 2 2 CD 39713 428 50 = = SYM 39713 428 51 4 4 CD 39713 428 52 Q.E.D. Q.E.D. NNP 39713 429 1 It -PRON- PRP 39713 429 2 can can MD 39713 429 3 not not RB 39713 429 4 be be VB 39713 429 5 denied deny VBN 39713 429 6 that that IN 39713 429 7 this this DT 39713 429 8 reasoning reasoning NN 39713 429 9 is be VBZ 39713 429 10 purely purely RB 39713 429 11 analytic analytic JJ 39713 429 12 . . . 39713 430 1 But but CC 39713 430 2 ask ask VB 39713 430 3 any any DT 39713 430 4 mathematician mathematician NN 39713 430 5 : : : 39713 430 6 ' ' '' 39713 430 7 That that DT 39713 430 8 is be VBZ 39713 430 9 not not RB 39713 430 10 a a DT 39713 430 11 demonstration demonstration NN 39713 430 12 properly properly RB 39713 430 13 so so RB 39713 430 14 called call VBN 39713 430 15 , , , 39713 430 16 ' ' '' 39713 430 17 he -PRON- PRP 39713 430 18 will will MD 39713 430 19 say say VB 39713 430 20 to to IN 39713 430 21 you -PRON- PRP 39713 430 22 : : : 39713 430 23 ' ' '' 39713 430 24 that that DT 39713 430 25 is be VBZ 39713 430 26 a a DT 39713 430 27 verification verification NN 39713 430 28 . . . 39713 430 29 ' ' '' 39713 431 1 We -PRON- PRP 39713 431 2 have have VBP 39713 431 3 confined confine VBN 39713 431 4 ourselves -PRON- PRP 39713 431 5 to to IN 39713 431 6 comparing compare VBG 39713 431 7 two two CD 39713 431 8 purely purely RB 39713 431 9 conventional conventional JJ 39713 431 10 definitions definition NNS 39713 431 11 and and CC 39713 431 12 have have VBP 39713 431 13 ascertained ascertain VBN 39713 431 14 their -PRON- PRP$ 39713 431 15 identity identity NN 39713 431 16 ; ; : 39713 431 17 we -PRON- PRP 39713 431 18 have have VBP 39713 431 19 learned learn VBN 39713 431 20 nothing nothing NN 39713 431 21 new new JJ 39713 431 22 . . . 39713 432 1 _ _ NNP 39713 432 2 Verification Verification NNP 39713 432 3 _ _ NNP 39713 432 4 differs differ VBZ 39713 432 5 from from IN 39713 432 6 true true JJ 39713 432 7 demonstration demonstration NN 39713 432 8 precisely precisely RB 39713 432 9 because because IN 39713 432 10 it -PRON- PRP 39713 432 11 is be VBZ 39713 432 12 purely purely RB 39713 432 13 analytic analytic JJ 39713 432 14 and and CC 39713 432 15 because because IN 39713 432 16 it -PRON- PRP 39713 432 17 is be VBZ 39713 432 18 sterile sterile JJ 39713 432 19 . . . 39713 433 1 It -PRON- PRP 39713 433 2 is be VBZ 39713 433 3 sterile sterile JJ 39713 433 4 because because IN 39713 433 5 the the DT 39713 433 6 conclusion conclusion NN 39713 433 7 is be VBZ 39713 433 8 nothing nothing NN 39713 433 9 but but IN 39713 433 10 the the DT 39713 433 11 premises premise NNS 39713 433 12 translated translate VBD 39713 433 13 into into IN 39713 433 14 another another DT 39713 433 15 language language NN 39713 433 16 . . . 39713 434 1 On on IN 39713 434 2 the the DT 39713 434 3 contrary contrary JJ 39713 434 4 , , , 39713 434 5 true true JJ 39713 434 6 demonstration demonstration NN 39713 434 7 is be VBZ 39713 434 8 fruitful fruitful JJ 39713 434 9 because because IN 39713 434 10 the the DT 39713 434 11 conclusion conclusion NN 39713 434 12 here here RB 39713 434 13 is be VBZ 39713 434 14 in in IN 39713 434 15 a a DT 39713 434 16 sense sense NN 39713 434 17 more more RBR 39713 434 18 general general JJ 39713 434 19 than than IN 39713 434 20 the the DT 39713 434 21 premises premise NNS 39713 434 22 . . . 39713 435 1 The the DT 39713 435 2 equality equality NN 39713 435 3 2 2 CD 39713 435 4 + + SYM 39713 435 5 2 2 CD 39713 435 6 = = SYM 39713 435 7 4 4 CD 39713 435 8 is be VBZ 39713 435 9 thus thus RB 39713 435 10 susceptible susceptible JJ 39713 435 11 of of IN 39713 435 12 a a DT 39713 435 13 verification verification NN 39713 435 14 only only RB 39713 435 15 because because IN 39713 435 16 it -PRON- PRP 39713 435 17 is be VBZ 39713 435 18 particular particular JJ 39713 435 19 . . . 39713 436 1 Every every DT 39713 436 2 particular particular JJ 39713 436 3 enunciation enunciation NN 39713 436 4 in in IN 39713 436 5 mathematics mathematic NNS 39713 436 6 can can MD 39713 436 7 always always RB 39713 436 8 be be VB 39713 436 9 verified verify VBN 39713 436 10 in in IN 39713 436 11 this this DT 39713 436 12 same same JJ 39713 436 13 way way NN 39713 436 14 . . . 39713 437 1 But but CC 39713 437 2 if if IN 39713 437 3 mathematics mathematic NNS 39713 437 4 could could MD 39713 437 5 be be VB 39713 437 6 reduced reduce VBN 39713 437 7 to to IN 39713 437 8 a a DT 39713 437 9 series series NN 39713 437 10 of of IN 39713 437 11 such such JJ 39713 437 12 verifications verification NNS 39713 437 13 , , , 39713 437 14 it -PRON- PRP 39713 437 15 would would MD 39713 437 16 not not RB 39713 437 17 be be VB 39713 437 18 a a DT 39713 437 19 science science NN 39713 437 20 . . . 39713 438 1 So so RB 39713 438 2 a a DT 39713 438 3 chess chess NN 39713 438 4 - - HYPH 39713 438 5 player player NN 39713 438 6 , , , 39713 438 7 for for IN 39713 438 8 example example NN 39713 438 9 , , , 39713 438 10 does do VBZ 39713 438 11 not not RB 39713 438 12 create create VB 39713 438 13 a a DT 39713 438 14 science science NN 39713 438 15 in in IN 39713 438 16 winning win VBG 39713 438 17 a a DT 39713 438 18 game game NN 39713 438 19 . . . 39713 439 1 There there EX 39713 439 2 is be VBZ 39713 439 3 no no DT 39713 439 4 science science NN 39713 439 5 apart apart RB 39713 439 6 from from IN 39713 439 7 the the DT 39713 439 8 general general NN 39713 439 9 . . . 39713 440 1 It -PRON- PRP 39713 440 2 may may MD 39713 440 3 even even RB 39713 440 4 be be VB 39713 440 5 said say VBN 39713 440 6 the the DT 39713 440 7 very very JJ 39713 440 8 object object NN 39713 440 9 of of IN 39713 440 10 the the DT 39713 440 11 exact exact JJ 39713 440 12 sciences science NNS 39713 440 13 is be VBZ 39713 440 14 to to TO 39713 440 15 spare spare VB 39713 440 16 us -PRON- PRP 39713 440 17 these these DT 39713 440 18 direct direct JJ 39713 440 19 verifications verification NNS 39713 440 20 . . . 39713 441 1 III III NNP 39713 441 2 Let let VB 39713 441 3 us -PRON- PRP 39713 441 4 , , , 39713 441 5 therefore therefore RB 39713 441 6 , , , 39713 441 7 see see VB 39713 441 8 the the DT 39713 441 9 geometer geometer NN 39713 441 10 at at IN 39713 441 11 work work NN 39713 441 12 and and CC 39713 441 13 seek seek VB 39713 441 14 to to TO 39713 441 15 catch catch VB 39713 441 16 his -PRON- PRP$ 39713 441 17 process process NN 39713 441 18 . . . 39713 442 1 The the DT 39713 442 2 task task NN 39713 442 3 is be VBZ 39713 442 4 not not RB 39713 442 5 without without IN 39713 442 6 difficulty difficulty NN 39713 442 7 ; ; : 39713 442 8 it -PRON- PRP 39713 442 9 does do VBZ 39713 442 10 not not RB 39713 442 11 suffice suffice VB 39713 442 12 to to TO 39713 442 13 open open VB 39713 442 14 a a DT 39713 442 15 work work NN 39713 442 16 at at IN 39713 442 17 random random JJ 39713 442 18 and and CC 39713 442 19 analyze analyze VB 39713 442 20 any any DT 39713 442 21 demonstration demonstration NN 39713 442 22 in in IN 39713 442 23 it -PRON- PRP 39713 442 24 . . . 39713 443 1 We -PRON- PRP 39713 443 2 must must MD 39713 443 3 first first RB 39713 443 4 exclude exclude VB 39713 443 5 geometry geometry NN 39713 443 6 , , , 39713 443 7 where where WRB 39713 443 8 the the DT 39713 443 9 question question NN 39713 443 10 is be VBZ 39713 443 11 complicated complicate VBN 39713 443 12 by by IN 39713 443 13 arduous arduous JJ 39713 443 14 problems problem NNS 39713 443 15 relative relative JJ 39713 443 16 to to IN 39713 443 17 the the DT 39713 443 18 rôle rôle NN 39713 443 19 of of IN 39713 443 20 the the DT 39713 443 21 postulates postulate NNS 39713 443 22 , , , 39713 443 23 to to IN 39713 443 24 the the DT 39713 443 25 nature nature NN 39713 443 26 and and CC 39713 443 27 the the DT 39713 443 28 origin origin NN 39713 443 29 of of IN 39713 443 30 the the DT 39713 443 31 notion notion NN 39713 443 32 of of IN 39713 443 33 space space NN 39713 443 34 . . . 39713 444 1 For for IN 39713 444 2 analogous analogous JJ 39713 444 3 reasons reason NNS 39713 444 4 we -PRON- PRP 39713 444 5 can can MD 39713 444 6 not not RB 39713 444 7 turn turn VB 39713 444 8 to to IN 39713 444 9 the the DT 39713 444 10 infinitesimal infinitesimal JJ 39713 444 11 analysis analysis NN 39713 444 12 . . . 39713 445 1 We -PRON- PRP 39713 445 2 must must MD 39713 445 3 seek seek VB 39713 445 4 mathematical mathematical JJ 39713 445 5 thought thought NN 39713 445 6 where where WRB 39713 445 7 it -PRON- PRP 39713 445 8 has have VBZ 39713 445 9 remained remain VBN 39713 445 10 pure pure JJ 39713 445 11 , , , 39713 445 12 that that RB 39713 445 13 is is RB 39713 445 14 , , , 39713 445 15 in in IN 39713 445 16 arithmetic arithmetic JJ 39713 445 17 . . . 39713 446 1 A a DT 39713 446 2 choice choice NN 39713 446 3 still still RB 39713 446 4 is be VBZ 39713 446 5 necessary necessary JJ 39713 446 6 ; ; : 39713 446 7 in in IN 39713 446 8 the the DT 39713 446 9 higher high JJR 39713 446 10 parts part NNS 39713 446 11 of of IN 39713 446 12 the the DT 39713 446 13 theory theory NN 39713 446 14 of of IN 39713 446 15 numbers number NNS 39713 446 16 , , , 39713 446 17 the the DT 39713 446 18 primitive primitive JJ 39713 446 19 mathematical mathematical JJ 39713 446 20 notions notion NNS 39713 446 21 have have VBP 39713 446 22 already already RB 39713 446 23 undergone undergo VBN 39713 446 24 an an DT 39713 446 25 elaboration elaboration NN 39713 446 26 so so RB 39713 446 27 profound profound JJ 39713 446 28 that that IN 39713 446 29 it -PRON- PRP 39713 446 30 becomes become VBZ 39713 446 31 difficult difficult JJ 39713 446 32 to to TO 39713 446 33 analyze analyze VB 39713 446 34 them -PRON- PRP 39713 446 35 . . . 39713 447 1 It -PRON- PRP 39713 447 2 is be VBZ 39713 447 3 , , , 39713 447 4 therefore therefore RB 39713 447 5 , , , 39713 447 6 at at IN 39713 447 7 the the DT 39713 447 8 beginning beginning NN 39713 447 9 of of IN 39713 447 10 arithmetic arithmetic JJ 39713 447 11 that that IN 39713 447 12 we -PRON- PRP 39713 447 13 must must MD 39713 447 14 expect expect VB 39713 447 15 to to TO 39713 447 16 find find VB 39713 447 17 the the DT 39713 447 18 explanation explanation NN 39713 447 19 we -PRON- PRP 39713 447 20 seek seek VBP 39713 447 21 , , , 39713 447 22 but but CC 39713 447 23 it -PRON- PRP 39713 447 24 happens happen VBZ 39713 447 25 that that IN 39713 447 26 precisely precisely RB 39713 447 27 in in IN 39713 447 28 the the DT 39713 447 29 demonstration demonstration NN 39713 447 30 of of IN 39713 447 31 the the DT 39713 447 32 most most RBS 39713 447 33 elementary elementary JJ 39713 447 34 theorems theorem NNS 39713 447 35 the the DT 39713 447 36 authors author NNS 39713 447 37 of of IN 39713 447 38 the the DT 39713 447 39 classic classic JJ 39713 447 40 treatises treatise NNS 39713 447 41 have have VBP 39713 447 42 shown show VBN 39713 447 43 the the DT 39713 447 44 least least JJS 39713 447 45 precision precision NN 39713 447 46 and and CC 39713 447 47 rigor rigor NN 39713 447 48 . . . 39713 448 1 We -PRON- PRP 39713 448 2 must must MD 39713 448 3 not not RB 39713 448 4 impute impute VB 39713 448 5 this this DT 39713 448 6 to to IN 39713 448 7 them -PRON- PRP 39713 448 8 as as IN 39713 448 9 a a DT 39713 448 10 crime crime NN 39713 448 11 ; ; : 39713 448 12 they -PRON- PRP 39713 448 13 have have VBP 39713 448 14 yielded yield VBN 39713 448 15 to to IN 39713 448 16 a a DT 39713 448 17 necessity necessity NN 39713 448 18 ; ; : 39713 448 19 beginners beginner NNS 39713 448 20 are be VBP 39713 448 21 not not RB 39713 448 22 prepared prepare VBN 39713 448 23 for for IN 39713 448 24 real real JJ 39713 448 25 mathematical mathematical JJ 39713 448 26 rigor rigor NN 39713 448 27 ; ; : 39713 448 28 they -PRON- PRP 39713 448 29 would would MD 39713 448 30 see see VB 39713 448 31 in in IN 39713 448 32 it -PRON- PRP 39713 448 33 only only RB 39713 448 34 useless useless JJ 39713 448 35 and and CC 39713 448 36 irksome irksome JJ 39713 448 37 subtleties subtlety NNS 39713 448 38 ; ; : 39713 448 39 it -PRON- PRP 39713 448 40 would would MD 39713 448 41 be be VB 39713 448 42 a a DT 39713 448 43 waste waste NN 39713 448 44 of of IN 39713 448 45 time time NN 39713 448 46 to to TO 39713 448 47 try try VB 39713 448 48 prematurely prematurely RB 39713 448 49 to to TO 39713 448 50 make make VB 39713 448 51 them -PRON- PRP 39713 448 52 more more RBR 39713 448 53 exacting exact VBG 39713 448 54 ; ; : 39713 448 55 they -PRON- PRP 39713 448 56 must must MD 39713 448 57 pass pass VB 39713 448 58 over over RP 39713 448 59 rapidly rapidly RB 39713 448 60 , , , 39713 448 61 but but CC 39713 448 62 without without IN 39713 448 63 skipping skipping NN 39713 448 64 stations station NNS 39713 448 65 , , , 39713 448 66 the the DT 39713 448 67 road road NN 39713 448 68 traversed traverse VBN 39713 448 69 slowly slowly RB 39713 448 70 by by IN 39713 448 71 the the DT 39713 448 72 founders founder NNS 39713 448 73 of of IN 39713 448 74 the the DT 39713 448 75 science science NN 39713 448 76 . . . 39713 449 1 Why why WRB 39713 449 2 is be VBZ 39713 449 3 so so RB 39713 449 4 long long JJ 39713 449 5 a a DT 39713 449 6 preparation preparation NN 39713 449 7 necessary necessary JJ 39713 449 8 to to TO 39713 449 9 become become VB 39713 449 10 habituated habituated JJ 39713 449 11 to to IN 39713 449 12 this this DT 39713 449 13 perfect perfect JJ 39713 449 14 rigor rigor NN 39713 449 15 , , , 39713 449 16 which which WDT 39713 449 17 , , , 39713 449 18 it -PRON- PRP 39713 449 19 would would MD 39713 449 20 seem seem VB 39713 449 21 , , , 39713 449 22 should should MD 39713 449 23 naturally naturally RB 39713 449 24 impress impress VB 39713 449 25 itself -PRON- PRP 39713 449 26 upon upon IN 39713 449 27 all all DT 39713 449 28 good good JJ 39713 449 29 minds mind NNS 39713 449 30 ? ? . 39713 450 1 This this DT 39713 450 2 is be VBZ 39713 450 3 a a DT 39713 450 4 logical logical JJ 39713 450 5 and and CC 39713 450 6 psychological psychological JJ 39713 450 7 problem problem NN 39713 450 8 well well RB 39713 450 9 worthy worthy JJ 39713 450 10 of of IN 39713 450 11 study study NN 39713 450 12 . . . 39713 451 1 But but CC 39713 451 2 we -PRON- PRP 39713 451 3 shall shall MD 39713 451 4 not not RB 39713 451 5 take take VB 39713 451 6 it -PRON- PRP 39713 451 7 up up RP 39713 451 8 ; ; : 39713 451 9 it -PRON- PRP 39713 451 10 is be VBZ 39713 451 11 foreign foreign JJ 39713 451 12 to to IN 39713 451 13 our -PRON- PRP$ 39713 451 14 purpose purpose NN 39713 451 15 ; ; : 39713 451 16 all all DT 39713 451 17 I -PRON- PRP 39713 451 18 wish wish VBP 39713 451 19 to to TO 39713 451 20 insist insist VB 39713 451 21 on on IN 39713 451 22 is be VBZ 39713 451 23 that that DT 39713 451 24 , , , 39713 451 25 not not RB 39713 451 26 to to TO 39713 451 27 fail fail VB 39713 451 28 of of IN 39713 451 29 our -PRON- PRP$ 39713 451 30 purpose purpose NN 39713 451 31 , , , 39713 451 32 we -PRON- PRP 39713 451 33 must must MD 39713 451 34 recast recast VB 39713 451 35 the the DT 39713 451 36 demonstrations demonstration NNS 39713 451 37 of of IN 39713 451 38 the the DT 39713 451 39 most most RBS 39713 451 40 elementary elementary JJ 39713 451 41 theorems theorem NNS 39713 451 42 and and CC 39713 451 43 give give VB 39713 451 44 them -PRON- PRP 39713 451 45 , , , 39713 451 46 not not RB 39713 451 47 the the DT 39713 451 48 crude crude JJ 39713 451 49 form form NN 39713 451 50 in in IN 39713 451 51 which which WDT 39713 451 52 they -PRON- PRP 39713 451 53 are be VBP 39713 451 54 left leave VBN 39713 451 55 , , , 39713 451 56 so so IN 39713 451 57 as as IN 39713 451 58 not not RB 39713 451 59 to to TO 39713 451 60 harass harass VB 39713 451 61 beginners beginner NNS 39713 451 62 , , , 39713 451 63 but but CC 39713 451 64 the the DT 39713 451 65 form form NN 39713 451 66 that that WDT 39713 451 67 will will MD 39713 451 68 satisfy satisfy VB 39713 451 69 a a DT 39713 451 70 skilled skilled JJ 39713 451 71 geometer geometer NN 39713 451 72 . . . 39713 452 1 DEFINITION definition JJ 39713 452 2 OF of IN 39713 452 3 ADDITION.--I addition.--i CD 39713 452 4 suppose suppose VBP 39713 452 5 already already RB 39713 452 6 defined define VBN 39713 452 7 the the DT 39713 452 8 operation operation NN 39713 452 9 _ _ NNP 39713 452 10 x x NNP 39713 452 11 _ _ NNP 39713 452 12 + + CC 39713 452 13 1 1 CD 39713 452 14 , , , 39713 452 15 which which WDT 39713 452 16 consists consist VBZ 39713 452 17 in in IN 39713 452 18 adding add VBG 39713 452 19 the the DT 39713 452 20 number number NN 39713 452 21 1 1 CD 39713 452 22 to to IN 39713 452 23 a a DT 39713 452 24 given give VBN 39713 452 25 number number NN 39713 452 26 _ _ NNP 39713 452 27 x x NNP 39713 452 28 _ _ NNP 39713 452 29 . . . 39713 453 1 This this DT 39713 453 2 definition definition NN 39713 453 3 , , , 39713 453 4 whatever whatever WDT 39713 453 5 it -PRON- PRP 39713 453 6 be be VB 39713 453 7 , , , 39713 453 8 does do VBZ 39713 453 9 not not RB 39713 453 10 enter enter VB 39713 453 11 into into IN 39713 453 12 our -PRON- PRP$ 39713 453 13 subsequent subsequent JJ 39713 453 14 reasoning reasoning NN 39713 453 15 . . . 39713 454 1 We -PRON- PRP 39713 454 2 now now RB 39713 454 3 have have VBP 39713 454 4 to to TO 39713 454 5 define define VB 39713 454 6 the the DT 39713 454 7 operation operation NN 39713 454 8 _ _ NNP 39713 454 9 x x NNP 39713 454 10 _ _ NNP 39713 454 11 + + SYM 39713 454 12 _ _ NNP 39713 454 13 a a DT 39713 454 14 _ _ NNP 39713 454 15 , , , 39713 454 16 which which WDT 39713 454 17 consists consist VBZ 39713 454 18 in in IN 39713 454 19 adding add VBG 39713 454 20 the the DT 39713 454 21 number number NN 39713 454 22 _ _ IN 39713 454 23 a a DT 39713 454 24 _ _ NNP 39713 454 25 to to IN 39713 454 26 a a DT 39713 454 27 given give VBN 39713 454 28 number number NN 39713 454 29 _ _ NNP 39713 454 30 x x NNP 39713 454 31 _ _ NNP 39713 454 32 . . . 39713 455 1 Supposing suppose VBG 39713 455 2 we -PRON- PRP 39713 455 3 have have VBP 39713 455 4 defined define VBN 39713 455 5 the the DT 39713 455 6 operation operation NN 39713 455 7 _ _ NNP 39713 455 8 x x NNP 39713 455 9 _ _ NNP 39713 455 10 + + NFP 39713 455 11 ( ( -LRB- 39713 455 12 _ _ NNP 39713 455 13 a a DT 39713 455 14 _ _ NNP 39713 455 15 - - HYPH 39713 455 16 1 1 CD 39713 455 17 ) ) -RRB- 39713 455 18 , , , 39713 455 19 the the DT 39713 455 20 operation operation NN 39713 455 21 _ _ NNP 39713 455 22 x x NNP 39713 455 23 _ _ NNP 39713 455 24 + + SYM 39713 455 25 _ _ NNP 39713 455 26 a a DT 39713 455 27 _ _ NN 39713 455 28 will will MD 39713 455 29 be be VB 39713 455 30 defined define VBN 39713 455 31 by by IN 39713 455 32 the the DT 39713 455 33 equality equality NN 39713 455 34 ( ( -LRB- 39713 455 35 1 1 LS 39713 455 36 ) ) -RRB- 39713 455 37 _ _ NNP 39713 455 38 x x NNP 39713 455 39 _ _ NNP 39713 455 40 + + SYM 39713 455 41 _ _ NNP 39713 455 42 a a DT 39713 455 43 _ _ NN 39713 455 44 = = NFP 39713 455 45 [ [ -LRB- 39713 455 46 _ _ NNP 39713 455 47 x x NNP 39713 455 48 _ _ NNP 39713 455 49 + + NFP 39713 455 50 ( ( -LRB- 39713 455 51 _ _ NNP 39713 455 52 a a DT 39713 455 53 _ _ NNP 39713 455 54 - - HYPH 39713 455 55 1 1 CD 39713 455 56 ) ) -RRB- 39713 455 57 ] ] -RRB- 39713 455 58 + + CC 39713 455 59 1 1 CD 39713 455 60 . . . 39713 456 1 We -PRON- PRP 39713 456 2 shall shall MD 39713 456 3 know know VB 39713 456 4 then then RB 39713 456 5 what what WP 39713 456 6 _ _ NNP 39713 456 7 x x SYM 39713 456 8 + + NNP 39713 456 9 a a DT 39713 456 10 _ _ NNP 39713 456 11 is be VBZ 39713 456 12 when when WRB 39713 456 13 we -PRON- PRP 39713 456 14 know know VBP 39713 456 15 what what WP 39713 456 16 _ _ NNP 39713 456 17 x x NNP 39713 456 18 _ _ NNP 39713 456 19 + + NFP 39713 456 20 ( ( -LRB- 39713 456 21 _ _ NNP 39713 456 22 a a DT 39713 456 23 _ _ NNP 39713 456 24 - - HYPH 39713 456 25 1 1 CD 39713 456 26 ) ) -RRB- 39713 456 27 is be VBZ 39713 456 28 , , , 39713 456 29 and and CC 39713 456 30 as as IN 39713 456 31 I -PRON- PRP 39713 456 32 have have VBP 39713 456 33 supposed suppose VBN 39713 456 34 that that DT 39713 456 35 to to TO 39713 456 36 start start VB 39713 456 37 with with IN 39713 456 38 we -PRON- PRP 39713 456 39 knew know VBD 39713 456 40 what what WP 39713 456 41 _ _ NNP 39713 456 42 x x NNP 39713 456 43 _ _ NNP 39713 456 44 + + DT 39713 456 45 1 1 CD 39713 456 46 is be VBZ 39713 456 47 , , , 39713 456 48 we -PRON- PRP 39713 456 49 can can MD 39713 456 50 define define VB 39713 456 51 successively successively RB 39713 456 52 and and CC 39713 456 53 ' ' `` 39713 456 54 by by IN 39713 456 55 recurrence recurrence NN 39713 456 56 ' ' '' 39713 456 57 the the DT 39713 456 58 operations operation NNS 39713 456 59 _ _ NNP 39713 456 60 x x NNP 39713 456 61 _ _ NNP 39713 456 62 + + CC 39713 456 63 2 2 CD 39713 456 64 , , , 39713 456 65 _ _ NNP 39713 456 66 x x NNP 39713 456 67 _ _ NNP 39713 456 68 + + SYM 39713 456 69 3 3 CD 39713 456 70 , , , 39713 456 71 etc etc FW 39713 456 72 . . . 39713 457 1 This this DT 39713 457 2 definition definition NN 39713 457 3 deserves deserve VBZ 39713 457 4 a a DT 39713 457 5 moment moment NN 39713 457 6 's 's POS 39713 457 7 attention attention NN 39713 457 8 ; ; : 39713 457 9 it -PRON- PRP 39713 457 10 is be VBZ 39713 457 11 of of IN 39713 457 12 a a DT 39713 457 13 particular particular JJ 39713 457 14 nature nature NN 39713 457 15 which which WDT 39713 457 16 already already RB 39713 457 17 distinguishes distinguish VBZ 39713 457 18 it -PRON- PRP 39713 457 19 from from IN 39713 457 20 the the DT 39713 457 21 purely purely RB 39713 457 22 logical logical JJ 39713 457 23 definition definition NN 39713 457 24 ; ; : 39713 457 25 the the DT 39713 457 26 equality equality NN 39713 457 27 ( ( -LRB- 39713 457 28 1 1 CD 39713 457 29 ) ) -RRB- 39713 457 30 contains contain VBZ 39713 457 31 an an DT 39713 457 32 infinity infinity NN 39713 457 33 of of IN 39713 457 34 distinct distinct JJ 39713 457 35 definitions definition NNS 39713 457 36 , , , 39713 457 37 each each DT 39713 457 38 having have VBG 39713 457 39 a a DT 39713 457 40 meaning meaning NN 39713 457 41 only only RB 39713 457 42 when when WRB 39713 457 43 one one PRP 39713 457 44 knows know VBZ 39713 457 45 the the DT 39713 457 46 preceding precede VBG 39713 457 47 . . . 39713 458 1 PROPERTIES property NNS 39713 458 2 OF of IN 39713 458 3 ADDITION.--_Associativity._--I ADDITION.--_Associativity._--I NNS 39713 458 4 say say VBP 39713 458 5 that that IN 39713 458 6 _ _ NNP 39713 458 7 a a DT 39713 458 8 _ _ NNP 39713 458 9 + + CC 39713 458 10 ( ( -LRB- 39713 458 11 _ _ NNP 39713 458 12 b b NNP 39713 458 13 _ _ NNP 39713 458 14 + + NNP 39713 458 15 _ _ NNP 39713 458 16 c c NNP 39713 458 17 _ _ NNP 39713 458 18 ) ) -RRB- 39713 458 19 = = NFP 39713 458 20 ( ( -LRB- 39713 458 21 _ _ NNP 39713 458 22 a a DT 39713 458 23 _ _ NNP 39713 458 24 + + NNP 39713 458 25 _ _ NNP 39713 458 26 b b NNP 39713 458 27 _ _ NNP 39713 458 28 ) ) -RRB- 39713 458 29 + + CC 39713 458 30 _ _ NNP 39713 458 31 c c NNP 39713 458 32 _ _ NNP 39713 458 33 . . . 39713 459 1 In in IN 39713 459 2 fact fact NN 39713 459 3 the the DT 39713 459 4 theorem theorem NN 39713 459 5 is be VBZ 39713 459 6 true true JJ 39713 459 7 for for IN 39713 459 8 _ _ NNP 39713 459 9 c c NNP 39713 459 10 _ _ NNP 39713 459 11 = = SYM 39713 459 12 1 1 CD 39713 459 13 ; ; : 39713 459 14 it -PRON- PRP 39713 459 15 is be VBZ 39713 459 16 then then RB 39713 459 17 written write VBN 39713 459 18 _ _ NNP 39713 459 19 a a DT 39713 459 20 _ _ NNP 39713 459 21 + + CC 39713 459 22 ( ( -LRB- 39713 459 23 _ _ NNP 39713 459 24 b b NNP 39713 459 25 _ _ NNP 39713 459 26 + + CC 39713 459 27 1 1 CD 39713 459 28 ) ) -RRB- 39713 459 29 = = NFP 39713 459 30 ( ( -LRB- 39713 459 31 _ _ NNP 39713 459 32 a a DT 39713 459 33 _ _ NNP 39713 459 34 + + NNP 39713 459 35 _ _ NNP 39713 459 36 b b NNP 39713 459 37 _ _ NNP 39713 459 38 ) ) -RRB- 39713 459 39 + + CC 39713 459 40 1 1 CD 39713 459 41 , , , 39713 459 42 which which WDT 39713 459 43 , , , 39713 459 44 apart apart RB 39713 459 45 from from IN 39713 459 46 the the DT 39713 459 47 difference difference NN 39713 459 48 of of IN 39713 459 49 notation notation NN 39713 459 50 , , , 39713 459 51 is be VBZ 39713 459 52 nothing nothing NN 39713 459 53 but but IN 39713 459 54 the the DT 39713 459 55 equality equality NN 39713 459 56 ( ( -LRB- 39713 459 57 1 1 CD 39713 459 58 ) ) -RRB- 39713 459 59 , , , 39713 459 60 by by IN 39713 459 61 which which WDT 39713 459 62 I -PRON- PRP 39713 459 63 have have VBP 39713 459 64 just just RB 39713 459 65 defined define VBN 39713 459 66 addition addition NN 39713 459 67 . . . 39713 460 1 Supposing suppose VBG 39713 460 2 the the DT 39713 460 3 theorem theorem JJ 39713 460 4 true true JJ 39713 460 5 for for IN 39713 460 6 _ _ NNP 39713 460 7 c c NNP 39713 460 8 _ _ NNP 39713 460 9 = = NFP 39713 460 10 [ [ -LRB- 39713 460 11 gamma gamma NN 39713 460 12 ] ] -RRB- 39713 460 13 , , , 39713 460 14 I -PRON- PRP 39713 460 15 say say VBP 39713 460 16 it -PRON- PRP 39713 460 17 will will MD 39713 460 18 be be VB 39713 460 19 true true JJ 39713 460 20 for for IN 39713 460 21 _ _ NNP 39713 460 22 c c NNP 39713 460 23 _ _ NNP 39713 460 24 = = NFP 39713 460 25 [ [ -LRB- 39713 460 26 gamma gamma NN 39713 460 27 ] ] -RRB- 39713 460 28 + + CC 39713 460 29 1 1 CD 39713 460 30 . . . 39713 461 1 In in IN 39713 461 2 fact fact NN 39713 461 3 , , , 39713 461 4 supposing suppose VBG 39713 461 5 ( ( -LRB- 39713 461 6 _ _ NNP 39713 461 7 a a DT 39713 461 8 _ _ NNP 39713 461 9 + + NNP 39713 461 10 _ _ NNP 39713 461 11 b b NNP 39713 461 12 _ _ NNP 39713 461 13 ) ) -RRB- 39713 461 14 + + CC 39713 461 15 [ [ -LRB- 39713 461 16 gamma gamma NN 39713 461 17 ] ] -RRB- 39713 461 18 = = NFP 39713 461 19 _ _ NNP 39713 461 20 a a DT 39713 461 21 _ _ NNP 39713 461 22 + + CC 39713 461 23 ( ( -LRB- 39713 461 24 _ _ NNP 39713 461 25 b b NNP 39713 461 26 _ _ NNP 39713 461 27 + + CC 39713 461 28 [ [ -LRB- 39713 461 29 gamma gamma NN 39713 461 30 ] ] -RRB- 39713 461 31 ) ) -RRB- 39713 461 32 , , , 39713 461 33 it -PRON- PRP 39713 461 34 follows follow VBZ 39713 461 35 that that IN 39713 461 36 [ [ -LRB- 39713 461 37 ( ( -LRB- 39713 461 38 _ _ NNP 39713 461 39 a a DT 39713 461 40 _ _ NNP 39713 461 41 + + NNP 39713 461 42 _ _ NNP 39713 461 43 b b NNP 39713 461 44 _ _ NNP 39713 461 45 ) ) -RRB- 39713 461 46 + + CC 39713 461 47 [ [ -LRB- 39713 461 48 gamma gamma NN 39713 461 49 ] ] -RRB- 39713 461 50 ] ] -RRB- 39713 461 51 + + CC 39713 461 52 1 1 CD 39713 461 53 = = SYM 39713 461 54 [ [ -LRB- 39713 461 55 _ _ NNP 39713 461 56 a a DT 39713 461 57 _ _ NNP 39713 461 58 + + CC 39713 461 59 ( ( -LRB- 39713 461 60 _ _ NNP 39713 461 61 b b NNP 39713 461 62 _ _ NNP 39713 461 63 + + CC 39713 461 64 [ [ -LRB- 39713 461 65 gamma gamma NN 39713 461 66 ] ] -RRB- 39713 461 67 ) ) -RRB- 39713 461 68 ] ] -RRB- 39713 461 69 + + CC 39713 461 70 1 1 CD 39713 461 71 or or CC 39713 461 72 by by IN 39713 461 73 definition definition NN 39713 461 74 ( ( -LRB- 39713 461 75 1 1 CD 39713 461 76 ) ) -RRB- 39713 461 77 ( ( -LRB- 39713 461 78 _ _ NNP 39713 461 79 a a DT 39713 461 80 _ _ NNP 39713 461 81 + + NNP 39713 461 82 _ _ NNP 39713 461 83 b b NNP 39713 461 84 _ _ NNP 39713 461 85 ) ) -RRB- 39713 461 86 + + NFP 39713 461 87 ( ( -LRB- 39713 461 88 [ [ -LRB- 39713 461 89 gamma gamma NN 39713 461 90 ] ] -RRB- 39713 461 91 + + CC 39713 461 92 1 1 CD 39713 461 93 ) ) -RRB- 39713 461 94 = = NFP 39713 461 95 _ _ NNP 39713 461 96 a a DT 39713 461 97 _ _ NNP 39713 461 98 + + CC 39713 461 99 ( ( -LRB- 39713 461 100 _ _ NNP 39713 461 101 b b NNP 39713 461 102 _ _ NNP 39713 461 103 + + CC 39713 461 104 [ [ -LRB- 39713 461 105 gamma gamma NN 39713 461 106 ] ] -RRB- 39713 461 107 + + CC 39713 461 108 1 1 CD 39713 461 109 ) ) -RRB- 39713 461 110 = = NFP 39713 461 111 _ _ NNP 39713 461 112 a a DT 39713 461 113 _ _ NN 39713 461 114 + + CC 39713 461 115 [ [ -LRB- 39713 461 116 _ _ NNP 39713 461 117 b b NNP 39713 461 118 _ _ NNP 39713 461 119 + + NFP 39713 461 120 ( ( -LRB- 39713 461 121 [ [ -LRB- 39713 461 122 gamma gamma NN 39713 461 123 ] ] -RRB- 39713 461 124 + + CC 39713 461 125 1 1 CD 39713 461 126 ) ) -RRB- 39713 461 127 ] ] -RRB- 39713 461 128 , , , 39713 461 129 which which WDT 39713 461 130 shows show VBZ 39713 461 131 , , , 39713 461 132 by by IN 39713 461 133 a a DT 39713 461 134 series series NN 39713 461 135 of of IN 39713 461 136 purely purely RB 39713 461 137 analytic analytic JJ 39713 461 138 deductions deduction NNS 39713 461 139 , , , 39713 461 140 that that IN 39713 461 141 the the DT 39713 461 142 theorem theorem NN 39713 461 143 is be VBZ 39713 461 144 true true JJ 39713 461 145 for for IN 39713 461 146 [ [ -LRB- 39713 461 147 gamma gamma NN 39713 461 148 ] ] -RRB- 39713 461 149 + + CC 39713 461 150 1 1 CD 39713 461 151 . . . 39713 462 1 Being be VBG 39713 462 2 true true JJ 39713 462 3 for for IN 39713 462 4 _ _ NNP 39713 462 5 c c NNP 39713 462 6 _ _ NNP 39713 462 7 = = SYM 39713 462 8 1 1 CD 39713 462 9 , , , 39713 462 10 we -PRON- PRP 39713 462 11 thus thus RB 39713 462 12 see see VBP 39713 462 13 successively successively RB 39713 462 14 that that IN 39713 462 15 so so RB 39713 462 16 it -PRON- PRP 39713 462 17 is be VBZ 39713 462 18 for for IN 39713 462 19 _ _ NNP 39713 462 20 c c NNP 39713 462 21 _ _ NNP 39713 462 22 = = SYM 39713 462 23 2 2 CD 39713 462 24 , , , 39713 462 25 for for IN 39713 462 26 _ _ NNP 39713 462 27 c c NNP 39713 462 28 _ _ NNP 39713 462 29 = = SYM 39713 462 30 3 3 CD 39713 462 31 , , , 39713 462 32 etc etc FW 39713 462 33 . . . 39713 463 1 _ _ NNP 39713 463 2 Commutativity._--1º Commutativity._--1º NNP 39713 463 3 I -PRON- PRP 39713 463 4 say say VBP 39713 463 5 that that IN 39713 463 6 _ _ NNP 39713 463 7 a a DT 39713 463 8 _ _ NNP 39713 463 9 + + CC 39713 463 10 1 1 CD 39713 463 11 = = SYM 39713 463 12 1 1 CD 39713 463 13 + + SYM 39713 463 14 _ _ NNP 39713 463 15 a a DT 39713 463 16 _ _ NN 39713 463 17 . . . 39713 464 1 The the DT 39713 464 2 theorem theorem NN 39713 464 3 is be VBZ 39713 464 4 evidently evidently RB 39713 464 5 true true JJ 39713 464 6 for for IN 39713 464 7 _ _ NNP 39713 464 8 a a DT 39713 464 9 _ _ NNP 39713 464 10 = = SYM 39713 464 11 1 1 CD 39713 464 12 ; ; : 39713 464 13 we -PRON- PRP 39713 464 14 can can MD 39713 464 15 _ _ IN 39713 464 16 verify verify VB 39713 464 17 _ _ NNP 39713 464 18 by by IN 39713 464 19 purely purely RB 39713 464 20 analytic analytic JJ 39713 464 21 reasoning reasoning NN 39713 464 22 that that IN 39713 464 23 if if IN 39713 464 24 it -PRON- PRP 39713 464 25 is be VBZ 39713 464 26 true true JJ 39713 464 27 for for IN 39713 464 28 _ _ NNP 39713 464 29 a a DT 39713 464 30 _ _ NNP 39713 464 31 = = NFP 39713 464 32 [ [ -LRB- 39713 464 33 gamma gamma NN 39713 464 34 ] ] -RRB- 39713 464 35 it -PRON- PRP 39713 464 36 will will MD 39713 464 37 be be VB 39713 464 38 true true JJ 39713 464 39 for for IN 39713 464 40 _ _ NNP 39713 464 41 a a DT 39713 464 42 _ _ NNP 39713 464 43 = = NFP 39713 464 44 [ [ -LRB- 39713 464 45 gamma gamma NN 39713 464 46 ] ] -RRB- 39713 464 47 + + CC 39713 464 48 1 1 CD 39713 464 49 ; ; : 39713 464 50 for for IN 39713 464 51 then then RB 39713 464 52 ( ( -LRB- 39713 464 53 [ [ -LRB- 39713 464 54 gamma gamma NN 39713 464 55 ] ] -RRB- 39713 464 56 + + CC 39713 464 57 1 1 CD 39713 464 58 ) ) -RRB- 39713 464 59 + + CC 39713 464 60 1 1 CD 39713 464 61 = = SYM 39713 464 62 ( ( -LRB- 39713 464 63 1 1 CD 39713 464 64 + + SYM 39713 464 65 [ [ -LRB- 39713 464 66 gamma gamma NN 39713 464 67 ] ] -RRB- 39713 464 68 ) ) -RRB- 39713 464 69 + + CC 39713 464 70 1 1 CD 39713 464 71 = = SYM 39713 464 72 1 1 CD 39713 464 73 + + SYM 39713 464 74 ( ( -LRB- 39713 464 75 [ [ -LRB- 39713 464 76 gamma gamma NN 39713 464 77 ] ] -RRB- 39713 464 78 + + CC 39713 464 79 1 1 CD 39713 464 80 ) ) -RRB- 39713 464 81 ; ; : 39713 464 82 now now RB 39713 464 83 it -PRON- PRP 39713 464 84 is be VBZ 39713 464 85 true true JJ 39713 464 86 for for IN 39713 464 87 _ _ NNP 39713 464 88 a a DT 39713 464 89 _ _ NNP 39713 464 90 = = SYM 39713 464 91 1 1 CD 39713 464 92 , , , 39713 464 93 therefore therefore RB 39713 464 94 it -PRON- PRP 39713 464 95 will will MD 39713 464 96 be be VB 39713 464 97 true true JJ 39713 464 98 for for IN 39713 464 99 _ _ NNP 39713 464 100 a a DT 39713 464 101 _ _ NNP 39713 464 102 = = SYM 39713 464 103 2 2 CD 39713 464 104 , , , 39713 464 105 for for IN 39713 464 106 _ _ NNP 39713 464 107 a a DT 39713 464 108 _ _ NNP 39713 464 109 = = SYM 39713 464 110 3 3 CD 39713 464 111 , , , 39713 464 112 etc etc FW 39713 464 113 . . FW 39713 464 114 , , , 39713 464 115 which which WDT 39713 464 116 is be VBZ 39713 464 117 expressed express VBN 39713 464 118 by by IN 39713 464 119 saying say VBG 39713 464 120 that that IN 39713 464 121 the the DT 39713 464 122 enunciated enunciate VBN 39713 464 123 proposition proposition NN 39713 464 124 is be VBZ 39713 464 125 demonstrated demonstrate VBN 39713 464 126 by by IN 39713 464 127 recurrence recurrence NN 39713 464 128 . . . 39713 465 1 2º 2º NNS 39713 465 2 I -PRON- PRP 39713 465 3 say say VBP 39713 465 4 that that IN 39713 465 5 _ _ NNP 39713 465 6 a a DT 39713 465 7 _ _ NNP 39713 465 8 + + NNP 39713 465 9 _ _ NNP 39713 465 10 b b NNP 39713 465 11 _ _ NNP 39713 465 12 = = SYM 39713 465 13 _ _ NNP 39713 465 14 b b NNP 39713 465 15 _ _ NNP 39713 465 16 + + NNP 39713 465 17 _ _ NNP 39713 465 18 a a DT 39713 465 19 _ _ NN 39713 465 20 . . . 39713 466 1 The the DT 39713 466 2 theorem theorem NN 39713 466 3 has have VBZ 39713 466 4 just just RB 39713 466 5 been be VBN 39713 466 6 demonstrated demonstrate VBN 39713 466 7 for for IN 39713 466 8 _ _ NNP 39713 466 9 b b NNP 39713 466 10 _ _ NNP 39713 466 11 = = SYM 39713 466 12 1 1 CD 39713 466 13 ; ; : 39713 466 14 it -PRON- PRP 39713 466 15 can can MD 39713 466 16 be be VB 39713 466 17 verified verify VBN 39713 466 18 analytically analytically RB 39713 466 19 that that IN 39713 466 20 if if IN 39713 466 21 it -PRON- PRP 39713 466 22 is be VBZ 39713 466 23 true true JJ 39713 466 24 for for IN 39713 466 25 _ _ NNP 39713 466 26 b b NNP 39713 466 27 _ _ NNP 39713 466 28 = = NFP 39713 466 29 [ [ -LRB- 39713 466 30 beta beta NN 39713 466 31 ] ] -RRB- 39713 466 32 , , , 39713 466 33 it -PRON- PRP 39713 466 34 will will MD 39713 466 35 be be VB 39713 466 36 true true JJ 39713 466 37 for for IN 39713 466 38 _ _ NNP 39713 466 39 b b NNP 39713 466 40 _ _ NNP 39713 466 41 = = NFP 39713 466 42 [ [ -LRB- 39713 466 43 beta beta NN 39713 466 44 ] ] -RRB- 39713 466 45 + + CC 39713 466 46 1 1 CD 39713 466 47 . . . 39713 467 1 The the DT 39713 467 2 proposition proposition NN 39713 467 3 is be VBZ 39713 467 4 therefore therefore RB 39713 467 5 established establish VBN 39713 467 6 by by IN 39713 467 7 recurrence recurrence NN 39713 467 8 . . . 39713 468 1 DEFINITION definition JJ 39713 468 2 OF of IN 39713 468 3 MULTIPLICATION.--We MULTIPLICATION.--We NNP 39713 468 4 shall shall MD 39713 468 5 define define VB 39713 468 6 multiplication multiplication NN 39713 468 7 by by IN 39713 468 8 the the DT 39713 468 9 equalities equality NNS 39713 468 10 . . . 39713 469 1 ( ( -LRB- 39713 469 2 1 1 LS 39713 469 3 ) ) -RRB- 39713 469 4 _ _ NNP 39713 469 5 a a DT 39713 469 6 _ _ NNP 39713 469 7 × × NN 39713 469 8 1 1 CD 39713 469 9 = = SYM 39713 469 10 _ _ NNP 39713 469 11 a a DT 39713 469 12 _ _ NNP 39713 469 13 . . . 39713 470 1 ( ( -LRB- 39713 470 2 2 2 LS 39713 470 3 ) ) -RRB- 39713 470 4 _ _ NNP 39713 470 5 a a DT 39713 470 6 _ _ NNP 39713 470 7 × × NN 39713 470 8 _ _ NNP 39713 470 9 b b NNP 39713 470 10 _ _ NNP 39713 470 11 = = NFP 39713 470 12 [ [ -LRB- 39713 470 13 _ _ NNP 39713 470 14 a a DT 39713 470 15 _ _ NNP 39713 470 16 × × NN 39713 470 17 ( ( -LRB- 39713 470 18 _ _ NNP 39713 470 19 b b NNP 39713 470 20 _ _ NNP 39713 470 21 - - HYPH 39713 470 22 1 1 NNP 39713 470 23 ) ) -RRB- 39713 470 24 ] ] -RRB- 39713 470 25 + + CC 39713 470 26 _ _ NNP 39713 470 27 a a DT 39713 470 28 _ _ NN 39713 470 29 . . . 39713 471 1 Like like IN 39713 471 2 equality equality NN 39713 471 3 ( ( -LRB- 39713 471 4 1 1 CD 39713 471 5 ) ) -RRB- 39713 471 6 , , , 39713 471 7 equality equality NN 39713 471 8 ( ( -LRB- 39713 471 9 2 2 CD 39713 471 10 ) ) -RRB- 39713 471 11 contains contain VBZ 39713 471 12 an an DT 39713 471 13 infinity infinity NN 39713 471 14 of of IN 39713 471 15 definitions definition NNS 39713 471 16 ; ; , 39713 471 17 having have VBG 39713 471 18 defined define VBN 39713 471 19 a a DT 39713 471 20 × × NN 39713 471 21 1 1 CD 39713 471 22 , , , 39713 471 23 it -PRON- PRP 39713 471 24 enables enable VBZ 39713 471 25 us -PRON- PRP 39713 471 26 to to TO 39713 471 27 define define VB 39713 471 28 successively successively RB 39713 471 29 : : : 39713 471 30 _ _ NNP 39713 471 31 a a DT 39713 471 32 _ _ NNP 39713 471 33 × × NN 39713 471 34 2 2 CD 39713 471 35 , , , 39713 471 36 _ _ NNP 39713 471 37 a a DT 39713 471 38 _ _ NNP 39713 471 39 × × NN 39713 471 40 3 3 CD 39713 471 41 , , , 39713 471 42 etc etc FW 39713 471 43 . . . 39713 472 1 PROPERTIES property NNS 39713 472 2 OF of IN 39713 472 3 MULTIPLICATION.--_Distributivity._--I multiplication.--_distributivity._--i NN 39713 472 4 say say VBP 39713 472 5 that that DT 39713 472 6 ( ( -LRB- 39713 472 7 _ _ NNP 39713 472 8 a a DT 39713 472 9 _ _ NNP 39713 472 10 + + NNP 39713 472 11 _ _ NNP 39713 472 12 b b NNP 39713 472 13 _ _ NNP 39713 472 14 ) ) -RRB- 39713 472 15 × × ADD 39713 472 16 _ _ NNP 39713 472 17 c c NNP 39713 472 18 _ _ NNP 39713 472 19 = = NFP 39713 472 20 ( ( -LRB- 39713 472 21 _ _ NNP 39713 472 22 a a DT 39713 472 23 _ _ NNP 39713 472 24 × × NN 39713 472 25 _ _ NNP 39713 472 26 c c NNP 39713 472 27 _ _ NNP 39713 472 28 ) ) -RRB- 39713 472 29 + + NFP 39713 472 30 ( ( -LRB- 39713 472 31 _ _ NNP 39713 472 32 b b NNP 39713 472 33 _ _ NNP 39713 472 34 × × NNP 39713 472 35 _ _ NNP 39713 472 36 c c NNP 39713 472 37 _ _ NNP 39713 472 38 ) ) -RRB- 39713 472 39 . . . 39713 473 1 We -PRON- PRP 39713 473 2 verify verify VBP 39713 473 3 analytically analytically RB 39713 473 4 that that IN 39713 473 5 the the DT 39713 473 6 equality equality NN 39713 473 7 is be VBZ 39713 473 8 true true JJ 39713 473 9 for for IN 39713 473 10 _ _ NNP 39713 473 11 c c NNP 39713 473 12 _ _ NNP 39713 473 13 = = SYM 39713 473 14 1 1 CD 39713 473 15 ; ; : 39713 473 16 then then RB 39713 473 17 that that IN 39713 473 18 if if IN 39713 473 19 the the DT 39713 473 20 theorem theorem NN 39713 473 21 is be VBZ 39713 473 22 true true JJ 39713 473 23 for for IN 39713 473 24 _ _ NNP 39713 473 25 c c NNP 39713 473 26 _ _ NNP 39713 473 27 = = NFP 39713 473 28 [ [ -LRB- 39713 473 29 gamma gamma NN 39713 473 30 ] ] -RRB- 39713 473 31 , , , 39713 473 32 it -PRON- PRP 39713 473 33 will will MD 39713 473 34 be be VB 39713 473 35 true true JJ 39713 473 36 for for IN 39713 473 37 _ _ NNP 39713 473 38 c c NNP 39713 473 39 _ _ NNP 39713 473 40 = = NFP 39713 473 41 [ [ -LRB- 39713 473 42 gamma gamma NN 39713 473 43 ] ] -RRB- 39713 473 44 + + CC 39713 473 45 1 1 CD 39713 473 46 . . . 39713 474 1 The the DT 39713 474 2 proposition proposition NN 39713 474 3 is be VBZ 39713 474 4 , , , 39713 474 5 therefore therefore RB 39713 474 6 , , , 39713 474 7 demonstrated demonstrate VBN 39713 474 8 by by IN 39713 474 9 recurrence recurrence NN 39713 474 10 . . . 39713 475 1 _ _ NNP 39713 475 2 Commutativity._--1º Commutativity._--1º NNP 39713 475 3 I -PRON- PRP 39713 475 4 say say VBP 39713 475 5 that that IN 39713 475 6 _ _ NNP 39713 475 7 a a DT 39713 475 8 _ _ NNP 39713 475 9 × × NN 39713 475 10 1 1 CD 39713 475 11 = = SYM 39713 475 12 1 1 CD 39713 475 13 × × NNS 39713 475 14 _ _ NNP 39713 475 15 a a DT 39713 475 16 _ _ NNP 39713 475 17 . . . 39713 476 1 The the DT 39713 476 2 theorem theorem NN 39713 476 3 is be VBZ 39713 476 4 evident evident JJ 39713 476 5 for for IN 39713 476 6 _ _ NNP 39713 476 7 a a DT 39713 476 8 _ _ NNP 39713 476 9 = = SYM 39713 476 10 1 1 CD 39713 476 11 . . . 39713 477 1 We -PRON- PRP 39713 477 2 verify verify VBP 39713 477 3 analytically analytically RB 39713 477 4 that that IN 39713 477 5 if if IN 39713 477 6 it -PRON- PRP 39713 477 7 is be VBZ 39713 477 8 true true JJ 39713 477 9 for for IN 39713 477 10 _ _ NNP 39713 477 11 a a DT 39713 477 12 _ _ NNP 39713 477 13 = = NFP 39713 477 14 [ [ -LRB- 39713 477 15 alpha alpha NN 39713 477 16 ] ] -RRB- 39713 477 17 , , , 39713 477 18 it -PRON- PRP 39713 477 19 will will MD 39713 477 20 be be VB 39713 477 21 true true JJ 39713 477 22 for for IN 39713 477 23 _ _ NNP 39713 477 24 a a DT 39713 477 25 _ _ NNP 39713 477 26 = = NFP 39713 477 27 [ [ -LRB- 39713 477 28 alpha alpha NN 39713 477 29 ] ] -RRB- 39713 477 30 + + CC 39713 477 31 1 1 CD 39713 477 32 . . . 39713 478 1 2º 2º NNS 39713 478 2 I -PRON- PRP 39713 478 3 say say VBP 39713 478 4 that that IN 39713 478 5 _ _ NNP 39713 478 6 a a DT 39713 478 7 _ _ NNP 39713 478 8 × × NN 39713 478 9 _ _ NNP 39713 478 10 b b NNP 39713 478 11 _ _ NNP 39713 478 12 = = SYM 39713 478 13 _ _ NNP 39713 478 14 b b NNP 39713 478 15 _ _ NNP 39713 478 16 × × NNP 39713 478 17 _ _ NNP 39713 478 18 a a DT 39713 478 19 _ _ NNP 39713 478 20 . . . 39713 479 1 The the DT 39713 479 2 theorem theorem NN 39713 479 3 has have VBZ 39713 479 4 just just RB 39713 479 5 been be VBN 39713 479 6 proven prove VBN 39713 479 7 for for IN 39713 479 8 _ _ NNP 39713 479 9 b b NNP 39713 479 10 _ _ NNP 39713 479 11 = = SYM 39713 479 12 1 1 CD 39713 479 13 . . . 39713 480 1 We -PRON- PRP 39713 480 2 could could MD 39713 480 3 verify verify VB 39713 480 4 analytically analytically RB 39713 480 5 that that IN 39713 480 6 if if IN 39713 480 7 it -PRON- PRP 39713 480 8 is be VBZ 39713 480 9 true true JJ 39713 480 10 for for IN 39713 480 11 _ _ NNP 39713 480 12 b b NNP 39713 480 13 _ _ NNP 39713 480 14 = = NFP 39713 480 15 [ [ -LRB- 39713 480 16 beta beta NN 39713 480 17 ] ] -RRB- 39713 480 18 , , , 39713 480 19 it -PRON- PRP 39713 480 20 will will MD 39713 480 21 be be VB 39713 480 22 true true JJ 39713 480 23 for for IN 39713 480 24 _ _ NNP 39713 480 25 b b NNP 39713 480 26 _ _ NNP 39713 480 27 = = NFP 39713 480 28 [ [ -LRB- 39713 480 29 beta beta NN 39713 480 30 ] ] -RRB- 39713 480 31 + + CC 39713 480 32 1 1 CD 39713 480 33 . . . 39713 481 1 IV IV NNP 39713 481 2 Here here RB 39713 481 3 I -PRON- PRP 39713 481 4 stop stop VBP 39713 481 5 this this DT 39713 481 6 monotonous monotonous JJ 39713 481 7 series series NN 39713 481 8 of of IN 39713 481 9 reasonings reasoning NNS 39713 481 10 . . . 39713 482 1 But but CC 39713 482 2 this this DT 39713 482 3 very very JJ 39713 482 4 monotony monotony NN 39713 482 5 has have VBZ 39713 482 6 the the DT 39713 482 7 better well RBR 39713 482 8 brought bring VBN 39713 482 9 out out RP 39713 482 10 the the DT 39713 482 11 procedure procedure NN 39713 482 12 which which WDT 39713 482 13 is be VBZ 39713 482 14 uniform uniform JJ 39713 482 15 and and CC 39713 482 16 is be VBZ 39713 482 17 met meet VBN 39713 482 18 again again RB 39713 482 19 at at IN 39713 482 20 each each DT 39713 482 21 step step NN 39713 482 22 . . . 39713 483 1 This this DT 39713 483 2 procedure procedure NN 39713 483 3 is be VBZ 39713 483 4 the the DT 39713 483 5 demonstration demonstration NN 39713 483 6 by by IN 39713 483 7 recurrence recurrence NN 39713 483 8 . . . 39713 484 1 We -PRON- PRP 39713 484 2 first first RB 39713 484 3 establish establish VBP 39713 484 4 a a DT 39713 484 5 theorem theorem NN 39713 484 6 for for IN 39713 484 7 _ _ NNP 39713 484 8 n n CC 39713 484 9 _ _ NNP 39713 484 10 = = SYM 39713 484 11 1 1 CD 39713 484 12 ; ; : 39713 484 13 then then RB 39713 484 14 we -PRON- PRP 39713 484 15 show show VBP 39713 484 16 that that IN 39713 484 17 if if IN 39713 484 18 it -PRON- PRP 39713 484 19 is be VBZ 39713 484 20 true true JJ 39713 484 21 of of IN 39713 484 22 _ _ NNP 39713 484 23 n n CC 39713 484 24 _ _ NNP 39713 484 25 - - HYPH 39713 484 26 1 1 NNP 39713 484 27 , , , 39713 484 28 it -PRON- PRP 39713 484 29 is be VBZ 39713 484 30 true true JJ 39713 484 31 of of IN 39713 484 32 _ _ NNP 39713 484 33 n n CC 39713 484 34 _ _ NNP 39713 484 35 , , , 39713 484 36 and and CC 39713 484 37 thence thence NN 39713 484 38 conclude conclude VBP 39713 484 39 that that IN 39713 484 40 it -PRON- PRP 39713 484 41 is be VBZ 39713 484 42 true true JJ 39713 484 43 for for IN 39713 484 44 all all PDT 39713 484 45 the the DT 39713 484 46 whole whole JJ 39713 484 47 numbers number NNS 39713 484 48 . . . 39713 485 1 We -PRON- PRP 39713 485 2 have have VBP 39713 485 3 just just RB 39713 485 4 seen see VBN 39713 485 5 how how WRB 39713 485 6 it -PRON- PRP 39713 485 7 may may MD 39713 485 8 be be VB 39713 485 9 used use VBN 39713 485 10 to to TO 39713 485 11 demonstrate demonstrate VB 39713 485 12 the the DT 39713 485 13 rules rule NNS 39713 485 14 of of IN 39713 485 15 addition addition NN 39713 485 16 and and CC 39713 485 17 multiplication multiplication NN 39713 485 18 , , , 39713 485 19 that that DT 39713 485 20 is be VBZ 39713 485 21 to to TO 39713 485 22 say say VB 39713 485 23 , , , 39713 485 24 the the DT 39713 485 25 rules rule NNS 39713 485 26 of of IN 39713 485 27 the the DT 39713 485 28 algebraic algebraic JJ 39713 485 29 calculus calculus NN 39713 485 30 ; ; : 39713 485 31 this this DT 39713 485 32 calculus calculus NN 39713 485 33 is be VBZ 39713 485 34 an an DT 39713 485 35 instrument instrument NN 39713 485 36 of of IN 39713 485 37 transformation transformation NN 39713 485 38 , , , 39713 485 39 which which WDT 39713 485 40 lends lend VBZ 39713 485 41 itself -PRON- PRP 39713 485 42 to to IN 39713 485 43 many many JJ 39713 485 44 more more RBR 39713 485 45 differing differ VBG 39713 485 46 combinations combination NNS 39713 485 47 than than IN 39713 485 48 does do VBZ 39713 485 49 the the DT 39713 485 50 simple simple JJ 39713 485 51 syllogism syllogism NN 39713 485 52 ; ; : 39713 485 53 but but CC 39713 485 54 it -PRON- PRP 39713 485 55 is be VBZ 39713 485 56 still still RB 39713 485 57 an an DT 39713 485 58 instrument instrument NN 39713 485 59 purely purely RB 39713 485 60 analytic analytic JJ 39713 485 61 , , , 39713 485 62 and and CC 39713 485 63 incapable incapable JJ 39713 485 64 of of IN 39713 485 65 teaching teach VBG 39713 485 66 us -PRON- PRP 39713 485 67 anything anything NN 39713 485 68 new new JJ 39713 485 69 . . . 39713 486 1 If if IN 39713 486 2 mathematics mathematic NNS 39713 486 3 had have VBD 39713 486 4 no no DT 39713 486 5 other other JJ 39713 486 6 instrument instrument NN 39713 486 7 , , , 39713 486 8 it -PRON- PRP 39713 486 9 would would MD 39713 486 10 therefore therefore RB 39713 486 11 be be VB 39713 486 12 forthwith forthwith NNP 39713 486 13 arrested arrest VBN 39713 486 14 in in IN 39713 486 15 its -PRON- PRP$ 39713 486 16 development development NN 39713 486 17 ; ; : 39713 486 18 but but CC 39713 486 19 it -PRON- PRP 39713 486 20 has have VBZ 39713 486 21 recourse recourse RB 39713 486 22 anew anew JJ 39713 486 23 to to IN 39713 486 24 the the DT 39713 486 25 same same JJ 39713 486 26 procedure procedure NN 39713 486 27 , , , 39713 486 28 that that RB 39713 486 29 is is RB 39713 486 30 , , , 39713 486 31 to to TO 39713 486 32 reasoning reasoning VB 39713 486 33 by by IN 39713 486 34 recurrence recurrence NN 39713 486 35 , , , 39713 486 36 and and CC 39713 486 37 it -PRON- PRP 39713 486 38 is be VBZ 39713 486 39 able able JJ 39713 486 40 to to TO 39713 486 41 continue continue VB 39713 486 42 its -PRON- PRP$ 39713 486 43 forward forward JJ 39713 486 44 march march NNP 39713 486 45 . . . 39713 487 1 If if IN 39713 487 2 we -PRON- PRP 39713 487 3 look look VBP 39713 487 4 closely closely RB 39713 487 5 , , , 39713 487 6 at at IN 39713 487 7 every every DT 39713 487 8 step step NN 39713 487 9 we -PRON- PRP 39713 487 10 meet meet VBP 39713 487 11 again again RB 39713 487 12 this this DT 39713 487 13 mode mode NN 39713 487 14 of of IN 39713 487 15 reasoning reasoning NN 39713 487 16 , , , 39713 487 17 either either CC 39713 487 18 in in IN 39713 487 19 the the DT 39713 487 20 simple simple JJ 39713 487 21 form form NN 39713 487 22 we -PRON- PRP 39713 487 23 have have VBP 39713 487 24 just just RB 39713 487 25 given give VBN 39713 487 26 it -PRON- PRP 39713 487 27 , , , 39713 487 28 or or CC 39713 487 29 under under IN 39713 487 30 a a DT 39713 487 31 form form NN 39713 487 32 more more RBR 39713 487 33 or or CC 39713 487 34 less less RBR 39713 487 35 modified modify VBN 39713 487 36 . . . 39713 488 1 Here here RB 39713 488 2 then then RB 39713 488 3 we -PRON- PRP 39713 488 4 have have VBP 39713 488 5 the the DT 39713 488 6 mathematical mathematical JJ 39713 488 7 reasoning reasoning NN 39713 488 8 _ _ NNP 39713 488 9 par par NNP 39713 488 10 excellence excellence NN 39713 488 11 _ _ NNP 39713 488 12 , , , 39713 488 13 and and CC 39713 488 14 we -PRON- PRP 39713 488 15 must must MD 39713 488 16 examine examine VB 39713 488 17 it -PRON- PRP 39713 488 18 more more RBR 39713 488 19 closely closely RB 39713 488 20 . . . 39713 489 1 V V NNP 39713 489 2 The the DT 39713 489 3 essential essential JJ 39713 489 4 characteristic characteristic NN 39713 489 5 of of IN 39713 489 6 reasoning reason VBG 39713 489 7 by by IN 39713 489 8 recurrence recurrence NN 39713 489 9 is be VBZ 39713 489 10 that that IN 39713 489 11 it -PRON- PRP 39713 489 12 contains contain VBZ 39713 489 13 , , , 39713 489 14 condensed condense VBN 39713 489 15 , , , 39713 489 16 so so RB 39713 489 17 to to TO 39713 489 18 speak speak VB 39713 489 19 , , , 39713 489 20 in in IN 39713 489 21 a a DT 39713 489 22 single single JJ 39713 489 23 formula formula NN 39713 489 24 , , , 39713 489 25 an an DT 39713 489 26 infinity infinity NN 39713 489 27 of of IN 39713 489 28 syllogisms syllogism NNS 39713 489 29 . . . 39713 490 1 That that IN 39713 490 2 this this DT 39713 490 3 may may MD 39713 490 4 the the DT 39713 490 5 better well RBR 39713 490 6 be be VB 39713 490 7 seen see VBN 39713 490 8 , , , 39713 490 9 I -PRON- PRP 39713 490 10 will will MD 39713 490 11 state state VB 39713 490 12 one one CD 39713 490 13 after after IN 39713 490 14 another another DT 39713 490 15 these these DT 39713 490 16 syllogisms syllogism NNS 39713 490 17 which which WDT 39713 490 18 are be VBP 39713 490 19 , , , 39713 490 20 if if IN 39713 490 21 you -PRON- PRP 39713 490 22 will will MD 39713 490 23 allow allow VB 39713 490 24 me -PRON- PRP 39713 490 25 the the DT 39713 490 26 expression expression NN 39713 490 27 , , , 39713 490 28 arranged arrange VBN 39713 490 29 in in IN 39713 490 30 ' ' `` 39713 490 31 cascade cascade NN 39713 490 32 . . . 39713 490 33 ' ' '' 39713 491 1 These these DT 39713 491 2 are be VBP 39713 491 3 of of IN 39713 491 4 course course NN 39713 491 5 hypothetical hypothetical JJ 39713 491 6 syllogisms syllogism NNS 39713 491 7 . . . 39713 492 1 The the DT 39713 492 2 theorem theorem NN 39713 492 3 is be VBZ 39713 492 4 true true JJ 39713 492 5 of of IN 39713 492 6 the the DT 39713 492 7 number number NN 39713 492 8 1 1 CD 39713 492 9 . . . 39713 493 1 Now now RB 39713 493 2 , , , 39713 493 3 if if IN 39713 493 4 it -PRON- PRP 39713 493 5 is be VBZ 39713 493 6 true true JJ 39713 493 7 of of IN 39713 493 8 1 1 CD 39713 493 9 , , , 39713 493 10 it -PRON- PRP 39713 493 11 is be VBZ 39713 493 12 true true JJ 39713 493 13 of of IN 39713 493 14 2 2 CD 39713 493 15 . . . 39713 494 1 Therefore therefore RB 39713 494 2 it -PRON- PRP 39713 494 3 is be VBZ 39713 494 4 true true JJ 39713 494 5 of of IN 39713 494 6 2 2 CD 39713 494 7 . . . 39713 495 1 Now now RB 39713 495 2 , , , 39713 495 3 if if IN 39713 495 4 it -PRON- PRP 39713 495 5 is be VBZ 39713 495 6 true true JJ 39713 495 7 of of IN 39713 495 8 2 2 CD 39713 495 9 , , , 39713 495 10 it -PRON- PRP 39713 495 11 is be VBZ 39713 495 12 true true JJ 39713 495 13 of of IN 39713 495 14 3 3 CD 39713 495 15 . . . 39713 496 1 Therefore therefore RB 39713 496 2 it -PRON- PRP 39713 496 3 is be VBZ 39713 496 4 true true JJ 39713 496 5 of of IN 39713 496 6 3 3 CD 39713 496 7 , , , 39713 496 8 and and CC 39713 496 9 so so RB 39713 496 10 on on RB 39713 496 11 . . . 39713 497 1 We -PRON- PRP 39713 497 2 see see VBP 39713 497 3 that that IN 39713 497 4 the the DT 39713 497 5 conclusion conclusion NN 39713 497 6 of of IN 39713 497 7 each each DT 39713 497 8 syllogism syllogism NN 39713 497 9 serves serve VBZ 39713 497 10 as as IN 39713 497 11 minor minor JJ 39713 497 12 to to IN 39713 497 13 the the DT 39713 497 14 following following NN 39713 497 15 . . . 39713 498 1 Furthermore furthermore RB 39713 498 2 the the DT 39713 498 3 majors major NNS 39713 498 4 of of IN 39713 498 5 all all PDT 39713 498 6 our -PRON- PRP$ 39713 498 7 syllogisms syllogism NNS 39713 498 8 can can MD 39713 498 9 be be VB 39713 498 10 reduced reduce VBN 39713 498 11 to to IN 39713 498 12 a a DT 39713 498 13 single single JJ 39713 498 14 formula formula NN 39713 498 15 . . . 39713 499 1 If if IN 39713 499 2 the the DT 39713 499 3 theorem theorem NN 39713 499 4 is be VBZ 39713 499 5 true true JJ 39713 499 6 of of IN 39713 499 7 _ _ NNP 39713 499 8 n n CC 39713 499 9 _ _ NNP 39713 499 10 - - HYPH 39713 499 11 1 1 NNP 39713 499 12 , , , 39713 499 13 so so CC 39713 499 14 it -PRON- PRP 39713 499 15 is be VBZ 39713 499 16 of of IN 39713 499 17 _ _ NNP 39713 499 18 n n CC 39713 499 19 _ _ NNP 39713 499 20 . . . 39713 500 1 We -PRON- PRP 39713 500 2 see see VBP 39713 500 3 , , , 39713 500 4 then then RB 39713 500 5 , , , 39713 500 6 that that IN 39713 500 7 in in IN 39713 500 8 reasoning reasoning NN 39713 500 9 by by IN 39713 500 10 recurrence recurrence NN 39713 500 11 we -PRON- PRP 39713 500 12 confine confine VBP 39713 500 13 ourselves -PRON- PRP 39713 500 14 to to IN 39713 500 15 stating state VBG 39713 500 16 the the DT 39713 500 17 minor minor NN 39713 500 18 of of IN 39713 500 19 the the DT 39713 500 20 first first JJ 39713 500 21 syllogism syllogism NN 39713 500 22 , , , 39713 500 23 and and CC 39713 500 24 the the DT 39713 500 25 general general JJ 39713 500 26 formula formula NN 39713 500 27 which which WDT 39713 500 28 contains contain VBZ 39713 500 29 as as IN 39713 500 30 particular particular JJ 39713 500 31 cases case NNS 39713 500 32 all all PDT 39713 500 33 the the DT 39713 500 34 majors major NNS 39713 500 35 . . . 39713 501 1 This this DT 39713 501 2 never never RB 39713 501 3 - - HYPH 39713 501 4 ending end VBG 39713 501 5 series series NN 39713 501 6 of of IN 39713 501 7 syllogisms syllogism NNS 39713 501 8 is be VBZ 39713 501 9 thus thus RB 39713 501 10 reduced reduce VBN 39713 501 11 to to IN 39713 501 12 a a DT 39713 501 13 phrase phrase NN 39713 501 14 of of IN 39713 501 15 a a DT 39713 501 16 few few JJ 39713 501 17 lines line NNS 39713 501 18 . . . 39713 502 1 It -PRON- PRP 39713 502 2 is be VBZ 39713 502 3 now now RB 39713 502 4 easy easy JJ 39713 502 5 to to TO 39713 502 6 comprehend comprehend VB 39713 502 7 why why WRB 39713 502 8 every every DT 39713 502 9 particular particular JJ 39713 502 10 consequence consequence NN 39713 502 11 of of IN 39713 502 12 a a DT 39713 502 13 theorem theorem NN 39713 502 14 can can MD 39713 502 15 , , , 39713 502 16 as as IN 39713 502 17 I -PRON- PRP 39713 502 18 have have VBP 39713 502 19 explained explain VBN 39713 502 20 above above RB 39713 502 21 , , , 39713 502 22 be be VB 39713 502 23 verified verify VBN 39713 502 24 by by IN 39713 502 25 purely purely RB 39713 502 26 analytic analytic JJ 39713 502 27 procedures procedure NNS 39713 502 28 . . . 39713 503 1 If if IN 39713 503 2 instead instead RB 39713 503 3 of of IN 39713 503 4 showing show VBG 39713 503 5 that that IN 39713 503 6 our -PRON- PRP$ 39713 503 7 theorem theorem NN 39713 503 8 is be VBZ 39713 503 9 true true JJ 39713 503 10 of of IN 39713 503 11 all all DT 39713 503 12 numbers number NNS 39713 503 13 , , , 39713 503 14 we -PRON- PRP 39713 503 15 only only RB 39713 503 16 wish wish VBP 39713 503 17 to to TO 39713 503 18 show show VB 39713 503 19 it -PRON- PRP 39713 503 20 true true JJ 39713 503 21 of of IN 39713 503 22 the the DT 39713 503 23 number number NN 39713 503 24 6 6 CD 39713 503 25 , , , 39713 503 26 for for IN 39713 503 27 example example NN 39713 503 28 , , , 39713 503 29 it -PRON- PRP 39713 503 30 will will MD 39713 503 31 suffice suffice VB 39713 503 32 for for IN 39713 503 33 us -PRON- PRP 39713 503 34 to to TO 39713 503 35 establish establish VB 39713 503 36 the the DT 39713 503 37 first first JJ 39713 503 38 5 5 CD 39713 503 39 syllogisms syllogism NNS 39713 503 40 of of IN 39713 503 41 our -PRON- PRP$ 39713 503 42 cascade cascade NN 39713 503 43 ; ; : 39713 503 44 9 9 CD 39713 503 45 would would MD 39713 503 46 be be VB 39713 503 47 necessary necessary JJ 39713 503 48 if if IN 39713 503 49 we -PRON- PRP 39713 503 50 wished wish VBD 39713 503 51 to to TO 39713 503 52 prove prove VB 39713 503 53 the the DT 39713 503 54 theorem theorem NN 39713 503 55 for for IN 39713 503 56 the the DT 39713 503 57 number number NN 39713 503 58 10 10 CD 39713 503 59 ; ; : 39713 503 60 more more JJR 39713 503 61 would would MD 39713 503 62 be be VB 39713 503 63 needed need VBN 39713 503 64 for for IN 39713 503 65 a a DT 39713 503 66 larger large JJR 39713 503 67 number number NN 39713 503 68 ; ; : 39713 503 69 but but CC 39713 503 70 , , , 39713 503 71 however however RB 39713 503 72 great great JJ 39713 503 73 this this DT 39713 503 74 number number NN 39713 503 75 might may MD 39713 503 76 be be VB 39713 503 77 , , , 39713 503 78 we -PRON- PRP 39713 503 79 should should MD 39713 503 80 always always RB 39713 503 81 end end VB 39713 503 82 by by IN 39713 503 83 reaching reach VBG 39713 503 84 it -PRON- PRP 39713 503 85 , , , 39713 503 86 and and CC 39713 503 87 the the DT 39713 503 88 analytic analytic JJ 39713 503 89 verification verification NN 39713 503 90 would would MD 39713 503 91 be be VB 39713 503 92 possible possible JJ 39713 503 93 . . . 39713 504 1 And and CC 39713 504 2 yet yet RB 39713 504 3 , , , 39713 504 4 however however RB 39713 504 5 far far RB 39713 504 6 we -PRON- PRP 39713 504 7 thus thus RB 39713 504 8 might may MD 39713 504 9 go go VB 39713 504 10 , , , 39713 504 11 we -PRON- PRP 39713 504 12 could could MD 39713 504 13 never never RB 39713 504 14 rise rise VB 39713 504 15 to to IN 39713 504 16 the the DT 39713 504 17 general general JJ 39713 504 18 theorem theorem NN 39713 504 19 , , , 39713 504 20 applicable applicable JJ 39713 504 21 to to IN 39713 504 22 all all DT 39713 504 23 numbers number NNS 39713 504 24 , , , 39713 504 25 which which WDT 39713 504 26 alone alone RB 39713 504 27 can can MD 39713 504 28 be be VB 39713 504 29 the the DT 39713 504 30 object object NN 39713 504 31 of of IN 39713 504 32 science science NN 39713 504 33 . . . 39713 505 1 To to TO 39713 505 2 reach reach VB 39713 505 3 this this DT 39713 505 4 , , , 39713 505 5 an an DT 39713 505 6 infinity infinity NN 39713 505 7 of of IN 39713 505 8 syllogisms syllogism NNS 39713 505 9 would would MD 39713 505 10 be be VB 39713 505 11 necessary necessary JJ 39713 505 12 ; ; : 39713 505 13 it -PRON- PRP 39713 505 14 would would MD 39713 505 15 be be VB 39713 505 16 necessary necessary JJ 39713 505 17 to to TO 39713 505 18 overleap overleap VB 39713 505 19 an an DT 39713 505 20 abyss abyss NN 39713 505 21 that that IN 39713 505 22 the the DT 39713 505 23 patience patience NN 39713 505 24 of of IN 39713 505 25 the the DT 39713 505 26 analyst analyst NN 39713 505 27 , , , 39713 505 28 restricted restrict VBN 39713 505 29 to to IN 39713 505 30 the the DT 39713 505 31 resources resource NNS 39713 505 32 of of IN 39713 505 33 formal formal JJ 39713 505 34 logic logic NN 39713 505 35 alone alone RB 39713 505 36 , , , 39713 505 37 never never RB 39713 505 38 could could MD 39713 505 39 fill fill VB 39713 505 40 up up RP 39713 505 41 . . . 39713 506 1 I -PRON- PRP 39713 506 2 asked ask VBD 39713 506 3 at at IN 39713 506 4 the the DT 39713 506 5 outset outset NN 39713 506 6 why why WRB 39713 506 7 one one PRP 39713 506 8 could could MD 39713 506 9 not not RB 39713 506 10 conceive conceive VB 39713 506 11 of of IN 39713 506 12 a a DT 39713 506 13 mind mind NN 39713 506 14 sufficiently sufficiently RB 39713 506 15 powerful powerful JJ 39713 506 16 to to TO 39713 506 17 perceive perceive VB 39713 506 18 at at IN 39713 506 19 a a DT 39713 506 20 glance glance NN 39713 506 21 the the DT 39713 506 22 whole whole JJ 39713 506 23 body body NN 39713 506 24 of of IN 39713 506 25 mathematical mathematical JJ 39713 506 26 truths truth NNS 39713 506 27 . . . 39713 507 1 The the DT 39713 507 2 answer answer NN 39713 507 3 is be VBZ 39713 507 4 now now RB 39713 507 5 easy easy JJ 39713 507 6 ; ; : 39713 507 7 a a DT 39713 507 8 chess chess NN 39713 507 9 - - HYPH 39713 507 10 player player NN 39713 507 11 is be VBZ 39713 507 12 able able JJ 39713 507 13 to to TO 39713 507 14 combine combine VB 39713 507 15 four four CD 39713 507 16 moves move NNS 39713 507 17 , , , 39713 507 18 five five CD 39713 507 19 moves move NNS 39713 507 20 , , , 39713 507 21 in in IN 39713 507 22 advance advance NN 39713 507 23 , , , 39713 507 24 but but CC 39713 507 25 , , , 39713 507 26 however however RB 39713 507 27 extraordinary extraordinary JJ 39713 507 28 he -PRON- PRP 39713 507 29 may may MD 39713 507 30 be be VB 39713 507 31 , , , 39713 507 32 he -PRON- PRP 39713 507 33 will will MD 39713 507 34 never never RB 39713 507 35 prepare prepare VB 39713 507 36 more more JJR 39713 507 37 than than IN 39713 507 38 a a DT 39713 507 39 finite finite JJ 39713 507 40 number number NN 39713 507 41 of of IN 39713 507 42 them -PRON- PRP 39713 507 43 ; ; : 39713 507 44 if if IN 39713 507 45 he -PRON- PRP 39713 507 46 applies apply VBZ 39713 507 47 his -PRON- PRP$ 39713 507 48 faculties faculty NNS 39713 507 49 to to IN 39713 507 50 arithmetic arithmetic JJ 39713 507 51 , , , 39713 507 52 he -PRON- PRP 39713 507 53 will will MD 39713 507 54 not not RB 39713 507 55 be be VB 39713 507 56 able able JJ 39713 507 57 to to TO 39713 507 58 perceive perceive VB 39713 507 59 its -PRON- PRP$ 39713 507 60 general general JJ 39713 507 61 truths truth NNS 39713 507 62 by by IN 39713 507 63 a a DT 39713 507 64 single single JJ 39713 507 65 direct direct JJ 39713 507 66 intuition intuition NN 39713 507 67 ; ; : 39713 507 68 to to TO 39713 507 69 arrive arrive VB 39713 507 70 at at IN 39713 507 71 the the DT 39713 507 72 smallest small JJS 39713 507 73 theorem theorem NN 39713 507 74 he -PRON- PRP 39713 507 75 can can MD 39713 507 76 not not RB 39713 507 77 dispense dispense VB 39713 507 78 with with IN 39713 507 79 the the DT 39713 507 80 aid aid NN 39713 507 81 of of IN 39713 507 82 reasoning reasoning NN 39713 507 83 by by IN 39713 507 84 recurrence recurrence NN 39713 507 85 , , , 39713 507 86 for for IN 39713 507 87 this this DT 39713 507 88 is be VBZ 39713 507 89 an an DT 39713 507 90 instrument instrument NN 39713 507 91 which which WDT 39713 507 92 enables enable VBZ 39713 507 93 us -PRON- PRP 39713 507 94 to to TO 39713 507 95 pass pass VB 39713 507 96 from from IN 39713 507 97 the the DT 39713 507 98 finite finite NN 39713 507 99 to to IN 39713 507 100 the the DT 39713 507 101 infinite infinite NN 39713 507 102 . . . 39713 508 1 This this DT 39713 508 2 instrument instrument NN 39713 508 3 is be VBZ 39713 508 4 always always RB 39713 508 5 useful useful JJ 39713 508 6 , , , 39713 508 7 for for IN 39713 508 8 , , , 39713 508 9 allowing allow VBG 39713 508 10 us -PRON- PRP 39713 508 11 to to TO 39713 508 12 overleap overleap VB 39713 508 13 at at IN 39713 508 14 a a DT 39713 508 15 bound bind VBN 39713 508 16 as as IN 39713 508 17 many many JJ 39713 508 18 stages stage NNS 39713 508 19 as as IN 39713 508 20 we -PRON- PRP 39713 508 21 wish wish VBP 39713 508 22 , , , 39713 508 23 it -PRON- PRP 39713 508 24 spares spare VBZ 39713 508 25 us -PRON- PRP 39713 508 26 verifications verification NNS 39713 508 27 , , , 39713 508 28 long long RB 39713 508 29 , , , 39713 508 30 irksome irksome JJ 39713 508 31 and and CC 39713 508 32 monotonous monotonous JJ 39713 508 33 , , , 39713 508 34 which which WDT 39713 508 35 would would MD 39713 508 36 quickly quickly RB 39713 508 37 become become VB 39713 508 38 impracticable impracticable JJ 39713 508 39 . . . 39713 509 1 But but CC 39713 509 2 it -PRON- PRP 39713 509 3 becomes become VBZ 39713 509 4 indispensable indispensable JJ 39713 509 5 as as RB 39713 509 6 soon soon RB 39713 509 7 as as IN 39713 509 8 we -PRON- PRP 39713 509 9 aim aim VBP 39713 509 10 at at IN 39713 509 11 the the DT 39713 509 12 general general JJ 39713 509 13 theorem theorem NN 39713 509 14 , , , 39713 509 15 to to TO 39713 509 16 which which WDT 39713 509 17 analytic analytic JJ 39713 509 18 verification verification NN 39713 509 19 would would MD 39713 509 20 bring bring VB 39713 509 21 us -PRON- PRP 39713 509 22 continually continually RB 39713 509 23 nearer nearer NN 39713 509 24 without without IN 39713 509 25 ever ever RB 39713 509 26 enabling enable VBG 39713 509 27 us -PRON- PRP 39713 509 28 to to TO 39713 509 29 reach reach VB 39713 509 30 it -PRON- PRP 39713 509 31 . . . 39713 510 1 In in IN 39713 510 2 this this DT 39713 510 3 domain domain NN 39713 510 4 of of IN 39713 510 5 arithmetic arithmetic JJ 39713 510 6 , , , 39713 510 7 we -PRON- PRP 39713 510 8 may may MD 39713 510 9 think think VB 39713 510 10 ourselves -PRON- PRP 39713 510 11 very very RB 39713 510 12 far far RB 39713 510 13 from from IN 39713 510 14 the the DT 39713 510 15 infinitesimal infinitesimal JJ 39713 510 16 analysis analysis NN 39713 510 17 , , , 39713 510 18 and and CC 39713 510 19 yet yet RB 39713 510 20 , , , 39713 510 21 as as IN 39713 510 22 we -PRON- PRP 39713 510 23 have have VBP 39713 510 24 just just RB 39713 510 25 seen see VBN 39713 510 26 , , , 39713 510 27 the the DT 39713 510 28 idea idea NN 39713 510 29 of of IN 39713 510 30 the the DT 39713 510 31 mathematical mathematical JJ 39713 510 32 infinite infinite NN 39713 510 33 already already RB 39713 510 34 plays play VBZ 39713 510 35 a a DT 39713 510 36 preponderant preponderant NN 39713 510 37 rôle rôle VBZ 39713 510 38 , , , 39713 510 39 and and CC 39713 510 40 without without IN 39713 510 41 it -PRON- PRP 39713 510 42 there there EX 39713 510 43 would would MD 39713 510 44 be be VB 39713 510 45 no no DT 39713 510 46 science science NN 39713 510 47 , , , 39713 510 48 because because IN 39713 510 49 there there EX 39713 510 50 would would MD 39713 510 51 be be VB 39713 510 52 nothing nothing NN 39713 510 53 general general JJ 39713 510 54 . . . 39713 511 1 VI VI NNP 39713 511 2 The the DT 39713 511 3 judgment judgment NN 39713 511 4 on on IN 39713 511 5 which which WDT 39713 511 6 reasoning reason VBG 39713 511 7 by by IN 39713 511 8 recurrence recurrence NN 39713 511 9 rests rest NNS 39713 511 10 can can MD 39713 511 11 be be VB 39713 511 12 put put VBN 39713 511 13 under under IN 39713 511 14 other other JJ 39713 511 15 forms form NNS 39713 511 16 ; ; : 39713 511 17 we -PRON- PRP 39713 511 18 may may MD 39713 511 19 say say VB 39713 511 20 , , , 39713 511 21 for for IN 39713 511 22 example example NN 39713 511 23 , , , 39713 511 24 that that IN 39713 511 25 in in IN 39713 511 26 an an DT 39713 511 27 infinite infinite JJ 39713 511 28 collection collection NN 39713 511 29 of of IN 39713 511 30 different different JJ 39713 511 31 whole whole JJ 39713 511 32 numbers number NNS 39713 511 33 there there EX 39713 511 34 is be VBZ 39713 511 35 always always RB 39713 511 36 one one CD 39713 511 37 which which WDT 39713 511 38 is be VBZ 39713 511 39 less less JJR 39713 511 40 than than IN 39713 511 41 all all PDT 39713 511 42 the the DT 39713 511 43 others other NNS 39713 511 44 . . . 39713 512 1 We -PRON- PRP 39713 512 2 can can MD 39713 512 3 easily easily RB 39713 512 4 pass pass VB 39713 512 5 from from IN 39713 512 6 one one CD 39713 512 7 enunciation enunciation NN 39713 512 8 to to IN 39713 512 9 the the DT 39713 512 10 other other JJ 39713 512 11 and and CC 39713 512 12 thus thus RB 39713 512 13 get get VB 39713 512 14 the the DT 39713 512 15 illusion illusion NN 39713 512 16 of of IN 39713 512 17 having have VBG 39713 512 18 demonstrated demonstrate VBN 39713 512 19 the the DT 39713 512 20 legitimacy legitimacy NN 39713 512 21 of of IN 39713 512 22 reasoning reasoning NN 39713 512 23 by by IN 39713 512 24 recurrence recurrence NN 39713 512 25 . . . 39713 513 1 But but CC 39713 513 2 we -PRON- PRP 39713 513 3 shall shall MD 39713 513 4 always always RB 39713 513 5 be be VB 39713 513 6 arrested arrest VBN 39713 513 7 , , , 39713 513 8 we -PRON- PRP 39713 513 9 shall shall MD 39713 513 10 always always RB 39713 513 11 arrive arrive VB 39713 513 12 at at IN 39713 513 13 an an DT 39713 513 14 undemonstrable undemonstrable JJ 39713 513 15 axiom axiom NN 39713 513 16 which which WDT 39713 513 17 will will MD 39713 513 18 be be VB 39713 513 19 in in IN 39713 513 20 reality reality NN 39713 513 21 only only RB 39713 513 22 the the DT 39713 513 23 proposition proposition NN 39713 513 24 to to TO 39713 513 25 be be VB 39713 513 26 proved prove VBN 39713 513 27 translated translate VBN 39713 513 28 into into IN 39713 513 29 another another DT 39713 513 30 language language NN 39713 513 31 . . . 39713 514 1 We -PRON- PRP 39713 514 2 can can MD 39713 514 3 not not RB 39713 514 4 therefore therefore RB 39713 514 5 escape escape VB 39713 514 6 the the DT 39713 514 7 conclusion conclusion NN 39713 514 8 that that IN 39713 514 9 the the DT 39713 514 10 rule rule NN 39713 514 11 of of IN 39713 514 12 reasoning reasoning NN 39713 514 13 by by IN 39713 514 14 recurrence recurrence NN 39713 514 15 is be VBZ 39713 514 16 irreducible irreducible JJ 39713 514 17 to to IN 39713 514 18 the the DT 39713 514 19 principle principle NN 39713 514 20 of of IN 39713 514 21 contradiction contradiction NN 39713 514 22 . . . 39713 515 1 Neither neither DT 39713 515 2 can can MD 39713 515 3 this this DT 39713 515 4 rule rule NN 39713 515 5 come come VB 39713 515 6 to to IN 39713 515 7 us -PRON- PRP 39713 515 8 from from IN 39713 515 9 experience experience NN 39713 515 10 ; ; : 39713 515 11 experience experience NN 39713 515 12 could could MD 39713 515 13 teach teach VB 39713 515 14 us -PRON- PRP 39713 515 15 that that IN 39713 515 16 the the DT 39713 515 17 rule rule NN 39713 515 18 is be VBZ 39713 515 19 true true JJ 39713 515 20 for for IN 39713 515 21 the the DT 39713 515 22 first first JJ 39713 515 23 ten ten CD 39713 515 24 or or CC 39713 515 25 hundred hundred CD 39713 515 26 numbers number NNS 39713 515 27 ; ; : 39713 515 28 for for IN 39713 515 29 example example NN 39713 515 30 , , , 39713 515 31 it -PRON- PRP 39713 515 32 can can MD 39713 515 33 not not RB 39713 515 34 attain attain VB 39713 515 35 to to IN 39713 515 36 the the DT 39713 515 37 indefinite indefinite NNP 39713 515 38 series series NNP 39713 515 39 of of IN 39713 515 40 numbers number NNS 39713 515 41 , , , 39713 515 42 but but CC 39713 515 43 only only RB 39713 515 44 to to IN 39713 515 45 a a DT 39713 515 46 portion portion NN 39713 515 47 of of IN 39713 515 48 this this DT 39713 515 49 series series NN 39713 515 50 , , , 39713 515 51 more more RBR 39713 515 52 or or CC 39713 515 53 less less RBR 39713 515 54 long long JJ 39713 515 55 but but CC 39713 515 56 always always RB 39713 515 57 limited limited JJ 39713 515 58 . . . 39713 516 1 Now now RB 39713 516 2 if if IN 39713 516 3 it -PRON- PRP 39713 516 4 were be VBD 39713 516 5 only only RB 39713 516 6 a a DT 39713 516 7 question question NN 39713 516 8 of of IN 39713 516 9 that that DT 39713 516 10 , , , 39713 516 11 the the DT 39713 516 12 principle principle NN 39713 516 13 of of IN 39713 516 14 contradiction contradiction NN 39713 516 15 would would MD 39713 516 16 suffice suffice VB 39713 516 17 ; ; : 39713 516 18 it -PRON- PRP 39713 516 19 would would MD 39713 516 20 always always RB 39713 516 21 allow allow VB 39713 516 22 of of IN 39713 516 23 our -PRON- PRP$ 39713 516 24 developing develop VBG 39713 516 25 as as RB 39713 516 26 many many JJ 39713 516 27 syllogisms syllogism NNS 39713 516 28 as as IN 39713 516 29 we -PRON- PRP 39713 516 30 wished wish VBD 39713 516 31 ; ; : 39713 516 32 it -PRON- PRP 39713 516 33 is be VBZ 39713 516 34 only only RB 39713 516 35 when when WRB 39713 516 36 it -PRON- PRP 39713 516 37 is be VBZ 39713 516 38 a a DT 39713 516 39 question question NN 39713 516 40 of of IN 39713 516 41 including include VBG 39713 516 42 an an DT 39713 516 43 infinity infinity NN 39713 516 44 of of IN 39713 516 45 them -PRON- PRP 39713 516 46 in in IN 39713 516 47 a a DT 39713 516 48 single single JJ 39713 516 49 formula formula NN 39713 516 50 , , , 39713 516 51 it -PRON- PRP 39713 516 52 is be VBZ 39713 516 53 only only RB 39713 516 54 before before IN 39713 516 55 the the DT 39713 516 56 infinite infinite NN 39713 516 57 that that WDT 39713 516 58 this this DT 39713 516 59 principle principle NN 39713 516 60 fails fail VBZ 39713 516 61 , , , 39713 516 62 and and CC 39713 516 63 there there RB 39713 516 64 too too RB 39713 516 65 , , , 39713 516 66 experience experience NN 39713 516 67 becomes become VBZ 39713 516 68 powerless powerless JJ 39713 516 69 . . . 39713 517 1 This this DT 39713 517 2 rule rule NN 39713 517 3 , , , 39713 517 4 inaccessible inaccessible JJ 39713 517 5 to to IN 39713 517 6 analytic analytic JJ 39713 517 7 demonstration demonstration NN 39713 517 8 and and CC 39713 517 9 to to TO 39713 517 10 experience experience VB 39713 517 11 , , , 39713 517 12 is be VBZ 39713 517 13 the the DT 39713 517 14 veritable veritable JJ 39713 517 15 type type NN 39713 517 16 of of IN 39713 517 17 the the DT 39713 517 18 synthetic synthetic NN 39713 517 19 _ _ NNP 39713 517 20 a a DT 39713 517 21 priori priori FW 39713 517 22 _ _ NNP 39713 517 23 judgment judgment NN 39713 517 24 . . . 39713 518 1 On on IN 39713 518 2 the the DT 39713 518 3 other other JJ 39713 518 4 hand hand NN 39713 518 5 , , , 39713 518 6 we -PRON- PRP 39713 518 7 can can MD 39713 518 8 not not RB 39713 518 9 think think VB 39713 518 10 of of IN 39713 518 11 seeing see VBG 39713 518 12 in in IN 39713 518 13 it -PRON- PRP 39713 518 14 a a DT 39713 518 15 convention convention NN 39713 518 16 , , , 39713 518 17 as as IN 39713 518 18 in in IN 39713 518 19 some some DT 39713 518 20 of of IN 39713 518 21 the the DT 39713 518 22 postulates postulate NNS 39713 518 23 of of IN 39713 518 24 geometry geometry NN 39713 518 25 . . . 39713 519 1 Why why WRB 39713 519 2 then then RB 39713 519 3 does do VBZ 39713 519 4 this this DT 39713 519 5 judgment judgment NN 39713 519 6 force force NN 39713 519 7 itself -PRON- PRP 39713 519 8 upon upon IN 39713 519 9 us -PRON- PRP 39713 519 10 with with IN 39713 519 11 an an DT 39713 519 12 irresistible irresistible JJ 39713 519 13 evidence evidence NN 39713 519 14 ? ? . 39713 520 1 It -PRON- PRP 39713 520 2 is be VBZ 39713 520 3 because because IN 39713 520 4 it -PRON- PRP 39713 520 5 is be VBZ 39713 520 6 only only RB 39713 520 7 the the DT 39713 520 8 affirmation affirmation NN 39713 520 9 of of IN 39713 520 10 the the DT 39713 520 11 power power NN 39713 520 12 of of IN 39713 520 13 the the DT 39713 520 14 mind mind NN 39713 520 15 which which WDT 39713 520 16 knows know VBZ 39713 520 17 itself -PRON- PRP 39713 520 18 capable capable JJ 39713 520 19 of of IN 39713 520 20 conceiving conceive VBG 39713 520 21 the the DT 39713 520 22 indefinite indefinite JJ 39713 520 23 repetition repetition NN 39713 520 24 of of IN 39713 520 25 the the DT 39713 520 26 same same JJ 39713 520 27 act act NN 39713 520 28 when when WRB 39713 520 29 once once IN 39713 520 30 this this DT 39713 520 31 act act NN 39713 520 32 is be VBZ 39713 520 33 possible possible JJ 39713 520 34 . . . 39713 521 1 The the DT 39713 521 2 mind mind NN 39713 521 3 has have VBZ 39713 521 4 a a DT 39713 521 5 direct direct JJ 39713 521 6 intuition intuition NN 39713 521 7 of of IN 39713 521 8 this this DT 39713 521 9 power power NN 39713 521 10 , , , 39713 521 11 and and CC 39713 521 12 experience experience NN 39713 521 13 can can MD 39713 521 14 only only RB 39713 521 15 give give VB 39713 521 16 occasion occasion NN 39713 521 17 for for IN 39713 521 18 using use VBG 39713 521 19 it -PRON- PRP 39713 521 20 and and CC 39713 521 21 thereby thereby RB 39713 521 22 becoming become VBG 39713 521 23 conscious conscious JJ 39713 521 24 of of IN 39713 521 25 it -PRON- PRP 39713 521 26 . . . 39713 522 1 But but CC 39713 522 2 , , , 39713 522 3 one one PRP 39713 522 4 will will MD 39713 522 5 say say VB 39713 522 6 , , , 39713 522 7 if if IN 39713 522 8 raw raw JJ 39713 522 9 experience experience NN 39713 522 10 can can MD 39713 522 11 not not RB 39713 522 12 legitimatize legitimatize VB 39713 522 13 reasoning reasoning NN 39713 522 14 by by IN 39713 522 15 recurrence recurrence NN 39713 522 16 , , , 39713 522 17 is be VBZ 39713 522 18 it -PRON- PRP 39713 522 19 so so RB 39713 522 20 of of IN 39713 522 21 experiment experiment NN 39713 522 22 aided aid VBN 39713 522 23 by by IN 39713 522 24 induction induction NN 39713 522 25 ? ? . 39713 523 1 We -PRON- PRP 39713 523 2 see see VBP 39713 523 3 successively successively RB 39713 523 4 that that IN 39713 523 5 a a DT 39713 523 6 theorem theorem NN 39713 523 7 is be VBZ 39713 523 8 true true JJ 39713 523 9 of of IN 39713 523 10 the the DT 39713 523 11 number number NN 39713 523 12 1 1 CD 39713 523 13 , , , 39713 523 14 of of IN 39713 523 15 the the DT 39713 523 16 number number NN 39713 523 17 2 2 CD 39713 523 18 , , , 39713 523 19 of of IN 39713 523 20 the the DT 39713 523 21 number number NN 39713 523 22 3 3 CD 39713 523 23 and and CC 39713 523 24 so so RB 39713 523 25 on on RB 39713 523 26 ; ; : 39713 523 27 the the DT 39713 523 28 law law NN 39713 523 29 is be VBZ 39713 523 30 evident evident JJ 39713 523 31 , , , 39713 523 32 we -PRON- PRP 39713 523 33 say say VBP 39713 523 34 , , , 39713 523 35 and and CC 39713 523 36 it -PRON- PRP 39713 523 37 has have VBZ 39713 523 38 the the DT 39713 523 39 same same JJ 39713 523 40 warranty warranty NN 39713 523 41 as as IN 39713 523 42 every every DT 39713 523 43 physical physical JJ 39713 523 44 law law NN 39713 523 45 based base VBN 39713 523 46 on on IN 39713 523 47 observations observation NNS 39713 523 48 , , , 39713 523 49 whose whose WP$ 39713 523 50 number number NN 39713 523 51 is be VBZ 39713 523 52 very very RB 39713 523 53 great great JJ 39713 523 54 but but CC 39713 523 55 limited limited JJ 39713 523 56 . . . 39713 524 1 Here here RB 39713 524 2 is be VBZ 39713 524 3 , , , 39713 524 4 it -PRON- PRP 39713 524 5 must must MD 39713 524 6 be be VB 39713 524 7 admitted admit VBN 39713 524 8 , , , 39713 524 9 a a DT 39713 524 10 striking strike VBG 39713 524 11 analogy analogy NN 39713 524 12 with with IN 39713 524 13 the the DT 39713 524 14 usual usual JJ 39713 524 15 procedures procedure NNS 39713 524 16 of of IN 39713 524 17 induction induction NN 39713 524 18 . . . 39713 525 1 But but CC 39713 525 2 there there EX 39713 525 3 is be VBZ 39713 525 4 an an DT 39713 525 5 essential essential JJ 39713 525 6 difference difference NN 39713 525 7 . . . 39713 526 1 Induction Induction NNP 39713 526 2 applied apply VBD 39713 526 3 to to IN 39713 526 4 the the DT 39713 526 5 physical physical JJ 39713 526 6 sciences science NNS 39713 526 7 is be VBZ 39713 526 8 always always RB 39713 526 9 uncertain uncertain JJ 39713 526 10 , , , 39713 526 11 because because IN 39713 526 12 it -PRON- PRP 39713 526 13 rests rest VBZ 39713 526 14 on on IN 39713 526 15 the the DT 39713 526 16 belief belief NN 39713 526 17 in in IN 39713 526 18 a a DT 39713 526 19 general general JJ 39713 526 20 order order NN 39713 526 21 of of IN 39713 526 22 the the DT 39713 526 23 universe universe NN 39713 526 24 , , , 39713 526 25 an an DT 39713 526 26 order order NN 39713 526 27 outside outside IN 39713 526 28 of of IN 39713 526 29 us -PRON- PRP 39713 526 30 . . . 39713 527 1 Mathematical mathematical JJ 39713 527 2 induction induction NN 39713 527 3 , , , 39713 527 4 that that RB 39713 527 5 is is RB 39713 527 6 , , , 39713 527 7 demonstration demonstration NN 39713 527 8 by by IN 39713 527 9 recurrence recurrence NN 39713 527 10 , , , 39713 527 11 on on IN 39713 527 12 the the DT 39713 527 13 contrary contrary NN 39713 527 14 , , , 39713 527 15 imposes impose VBZ 39713 527 16 itself -PRON- PRP 39713 527 17 necessarily necessarily RB 39713 527 18 because because IN 39713 527 19 it -PRON- PRP 39713 527 20 is be VBZ 39713 527 21 only only RB 39713 527 22 the the DT 39713 527 23 affirmation affirmation NN 39713 527 24 of of IN 39713 527 25 a a DT 39713 527 26 property property NN 39713 527 27 of of IN 39713 527 28 the the DT 39713 527 29 mind mind NN 39713 527 30 itself -PRON- PRP 39713 527 31 . . . 39713 528 1 VII VII NNP 39713 528 2 Mathematicians Mathematicians NNPS 39713 528 3 , , , 39713 528 4 as as IN 39713 528 5 I -PRON- PRP 39713 528 6 have have VBP 39713 528 7 said say VBD 39713 528 8 before before RB 39713 528 9 , , , 39713 528 10 always always RB 39713 528 11 endeavor endeavor VB 39713 528 12 to to IN 39713 528 13 _ _ NNP 39713 528 14 generalize generalize VB 39713 528 15 _ _ NNP 39713 528 16 the the DT 39713 528 17 propositions proposition NNS 39713 528 18 they -PRON- PRP 39713 528 19 have have VBP 39713 528 20 obtained obtain VBN 39713 528 21 , , , 39713 528 22 and and CC 39713 528 23 , , , 39713 528 24 to to TO 39713 528 25 seek seek VB 39713 528 26 no no DT 39713 528 27 other other JJ 39713 528 28 example example NN 39713 528 29 , , , 39713 528 30 we -PRON- PRP 39713 528 31 have have VBP 39713 528 32 just just RB 39713 528 33 proved prove VBN 39713 528 34 the the DT 39713 528 35 equality equality NN 39713 528 36 : : : 39713 528 37 _ _ NNP 39713 528 38 a a DT 39713 528 39 _ _ NNP 39713 528 40 + + SYM 39713 528 41 1 1 CD 39713 528 42 = = SYM 39713 528 43 1 1 CD 39713 528 44 + + SYM 39713 528 45 _ _ NNP 39713 528 46 a a DT 39713 528 47 _ _ NNP 39713 528 48 and and CC 39713 528 49 afterwards afterwards RB 39713 528 50 used use VBD 39713 528 51 it -PRON- PRP 39713 528 52 to to TO 39713 528 53 establish establish VB 39713 528 54 the the DT 39713 528 55 equality equality NN 39713 528 56 _ _ NNP 39713 528 57 a a DT 39713 528 58 _ _ NNP 39713 528 59 + + NNP 39713 528 60 _ _ NNP 39713 528 61 b b NNP 39713 528 62 _ _ NNP 39713 528 63 = = SYM 39713 528 64 _ _ NNP 39713 528 65 b b NNP 39713 528 66 _ _ NNP 39713 528 67 + + NNP 39713 528 68 _ _ NNP 39713 528 69 a a DT 39713 528 70 _ _ NN 39713 528 71 which which WDT 39713 528 72 is be VBZ 39713 528 73 manifestly manifestly RB 39713 528 74 more more RBR 39713 528 75 general general JJ 39713 528 76 . . . 39713 529 1 Mathematics mathematic NNS 39713 529 2 can can MD 39713 529 3 , , , 39713 529 4 therefore therefore RB 39713 529 5 , , , 39713 529 6 like like IN 39713 529 7 the the DT 39713 529 8 other other JJ 39713 529 9 sciences science NNS 39713 529 10 , , , 39713 529 11 proceed proceed VB 39713 529 12 from from IN 39713 529 13 the the DT 39713 529 14 particular particular JJ 39713 529 15 to to IN 39713 529 16 the the DT 39713 529 17 general general NN 39713 529 18 . . . 39713 530 1 This this DT 39713 530 2 is be VBZ 39713 530 3 a a DT 39713 530 4 fact fact NN 39713 530 5 which which WDT 39713 530 6 would would MD 39713 530 7 have have VB 39713 530 8 appeared appear VBN 39713 530 9 incomprehensible incomprehensible JJ 39713 530 10 to to IN 39713 530 11 us -PRON- PRP 39713 530 12 at at IN 39713 530 13 the the DT 39713 530 14 outset outset NN 39713 530 15 of of IN 39713 530 16 this this DT 39713 530 17 study study NN 39713 530 18 , , , 39713 530 19 but but CC 39713 530 20 which which WDT 39713 530 21 is be VBZ 39713 530 22 no no DT 39713 530 23 longer long RBR 39713 530 24 mysterious mysterious JJ 39713 530 25 to to IN 39713 530 26 us -PRON- PRP 39713 530 27 , , , 39713 530 28 since since IN 39713 530 29 we -PRON- PRP 39713 530 30 have have VBP 39713 530 31 ascertained ascertain VBN 39713 530 32 the the DT 39713 530 33 analogies analogy NNS 39713 530 34 between between IN 39713 530 35 demonstration demonstration NN 39713 530 36 by by IN 39713 530 37 recurrence recurrence NN 39713 530 38 and and CC 39713 530 39 ordinary ordinary JJ 39713 530 40 induction induction NN 39713 530 41 . . . 39713 531 1 Without without IN 39713 531 2 doubt doubt NN 39713 531 3 recurrent recurrent JJ 39713 531 4 reasoning reasoning NN 39713 531 5 in in IN 39713 531 6 mathematics mathematic NNS 39713 531 7 and and CC 39713 531 8 inductive inductive JJ 39713 531 9 reasoning reasoning NN 39713 531 10 in in IN 39713 531 11 physics physics NN 39713 531 12 rest rest NN 39713 531 13 on on IN 39713 531 14 different different JJ 39713 531 15 foundations foundation NNS 39713 531 16 , , , 39713 531 17 but but CC 39713 531 18 their -PRON- PRP$ 39713 531 19 march march NN 39713 531 20 is be VBZ 39713 531 21 parallel parallel NN 39713 531 22 , , , 39713 531 23 they -PRON- PRP 39713 531 24 advance advance VBP 39713 531 25 in in IN 39713 531 26 the the DT 39713 531 27 same same JJ 39713 531 28 sense sense NN 39713 531 29 , , , 39713 531 30 that that DT 39713 531 31 is be VBZ 39713 531 32 to to TO 39713 531 33 say say VB 39713 531 34 , , , 39713 531 35 from from IN 39713 531 36 the the DT 39713 531 37 particular particular JJ 39713 531 38 to to IN 39713 531 39 the the DT 39713 531 40 general general NN 39713 531 41 . . . 39713 532 1 Let let VB 39713 532 2 us -PRON- PRP 39713 532 3 examine examine VB 39713 532 4 the the DT 39713 532 5 case case NN 39713 532 6 a a DT 39713 532 7 little little RB 39713 532 8 more more RBR 39713 532 9 closely closely RB 39713 532 10 . . . 39713 533 1 To to TO 39713 533 2 demonstrate demonstrate VB 39713 533 3 the the DT 39713 533 4 equality equality NN 39713 533 5 _ _ NNP 39713 533 6 a a DT 39713 533 7 _ _ NNP 39713 533 8 + + CC 39713 533 9 2 2 CD 39713 533 10 = = SYM 39713 533 11 2 2 CD 39713 533 12 + + SYM 39713 533 13 _ _ NNP 39713 533 14 a a DT 39713 533 15 _ _ NN 39713 533 16 it -PRON- PRP 39713 533 17 suffices suffice VBZ 39713 533 18 to to TO 39713 533 19 twice twice RB 39713 533 20 apply apply VB 39713 533 21 the the DT 39713 533 22 rule rule NN 39713 533 23 ( ( -LRB- 39713 533 24 1 1 LS 39713 533 25 ) ) -RRB- 39713 533 26 _ _ NNP 39713 533 27 a a DT 39713 533 28 _ _ NNP 39713 533 29 + + SYM 39713 533 30 1 1 CD 39713 533 31 = = SYM 39713 533 32 1 1 CD 39713 533 33 + + SYM 39713 533 34 _ _ NNP 39713 533 35 a a DT 39713 533 36 _ _ NN 39713 533 37 and and CC 39713 533 38 write write VB 39713 533 39 ( ( -LRB- 39713 533 40 2 2 CD 39713 533 41 ) ) -RRB- 39713 533 42 _ _ NNP 39713 533 43 a a DT 39713 533 44 _ _ NNP 39713 533 45 + + CC 39713 533 46 2 2 CD 39713 533 47 = = SYM 39713 533 48 _ _ NNP 39713 533 49 a a DT 39713 533 50 _ _ NNP 39713 533 51 + + CC 39713 533 52 1 1 CD 39713 533 53 + + SYM 39713 533 54 1 1 CD 39713 533 55 = = SYM 39713 533 56 1 1 CD 39713 533 57 + + SYM 39713 533 58 _ _ NNP 39713 533 59 a a DT 39713 533 60 _ _ NN 39713 533 61 + + CC 39713 533 62 1 1 CD 39713 533 63 = = SYM 39713 533 64 1 1 CD 39713 533 65 + + SYM 39713 533 66 1 1 CD 39713 533 67 + + SYM 39713 533 68 _ _ NNP 39713 533 69 a a DT 39713 533 70 _ _ NN 39713 533 71 = = SYM 39713 533 72 2 2 CD 39713 533 73 + + SYM 39713 533 74 _ _ NNP 39713 533 75 a a DT 39713 533 76 _ _ NN 39713 533 77 . . . 39713 534 1 The the DT 39713 534 2 equality equality NN 39713 534 3 ( ( -LRB- 39713 534 4 2 2 LS 39713 534 5 ) ) -RRB- 39713 534 6 thus thus RB 39713 534 7 deduced deduce VBN 39713 534 8 in in IN 39713 534 9 purely purely RB 39713 534 10 analytic analytic JJ 39713 534 11 way way NN 39713 534 12 from from IN 39713 534 13 the the DT 39713 534 14 equality equality NN 39713 534 15 ( ( -LRB- 39713 534 16 1 1 CD 39713 534 17 ) ) -RRB- 39713 534 18 is be VBZ 39713 534 19 , , , 39713 534 20 however however RB 39713 534 21 , , , 39713 534 22 not not RB 39713 534 23 simply simply RB 39713 534 24 a a DT 39713 534 25 particular particular JJ 39713 534 26 ease ease NN 39713 534 27 of of IN 39713 534 28 it -PRON- PRP 39713 534 29 ; ; : 39713 534 30 it -PRON- PRP 39713 534 31 is be VBZ 39713 534 32 something something NN 39713 534 33 quite quite RB 39713 534 34 different different JJ 39713 534 35 . . . 39713 535 1 We -PRON- PRP 39713 535 2 can can MD 39713 535 3 not not RB 39713 535 4 therefore therefore RB 39713 535 5 even even RB 39713 535 6 say say VB 39713 535 7 that that IN 39713 535 8 in in IN 39713 535 9 the the DT 39713 535 10 really really RB 39713 535 11 analytic analytic JJ 39713 535 12 and and CC 39713 535 13 deductive deductive JJ 39713 535 14 part part NN 39713 535 15 of of IN 39713 535 16 mathematical mathematical JJ 39713 535 17 reasoning reasoning NN 39713 535 18 we -PRON- PRP 39713 535 19 proceed proceed VBP 39713 535 20 from from IN 39713 535 21 the the DT 39713 535 22 general general NN 39713 535 23 to to IN 39713 535 24 the the DT 39713 535 25 particular particular JJ 39713 535 26 in in IN 39713 535 27 the the DT 39713 535 28 ordinary ordinary JJ 39713 535 29 sense sense NN 39713 535 30 of of IN 39713 535 31 the the DT 39713 535 32 word word NN 39713 535 33 . . . 39713 536 1 The the DT 39713 536 2 two two CD 39713 536 3 members member NNS 39713 536 4 of of IN 39713 536 5 the the DT 39713 536 6 equality equality NN 39713 536 7 ( ( -LRB- 39713 536 8 2 2 CD 39713 536 9 ) ) -RRB- 39713 536 10 are be VBP 39713 536 11 simply simply RB 39713 536 12 combinations combination NNS 39713 536 13 more more RBR 39713 536 14 complicated complicated JJ 39713 536 15 than than IN 39713 536 16 the the DT 39713 536 17 two two CD 39713 536 18 members member NNS 39713 536 19 of of IN 39713 536 20 the the DT 39713 536 21 equality equality NN 39713 536 22 ( ( -LRB- 39713 536 23 1 1 CD 39713 536 24 ) ) -RRB- 39713 536 25 , , , 39713 536 26 and and CC 39713 536 27 analysis analysis NN 39713 536 28 only only RB 39713 536 29 serves serve VBZ 39713 536 30 to to TO 39713 536 31 separate separate VB 39713 536 32 the the DT 39713 536 33 elements element NNS 39713 536 34 which which WDT 39713 536 35 enter enter VBP 39713 536 36 into into IN 39713 536 37 these these DT 39713 536 38 combinations combination NNS 39713 536 39 and and CC 39713 536 40 to to TO 39713 536 41 study study VB 39713 536 42 their -PRON- PRP$ 39713 536 43 relations relation NNS 39713 536 44 . . . 39713 537 1 Mathematicians mathematician NNS 39713 537 2 proceed proceed VBP 39713 537 3 therefore therefore RB 39713 537 4 ' ' '' 39713 537 5 by by IN 39713 537 6 construction construction NN 39713 537 7 , , , 39713 537 8 ' ' '' 39713 537 9 they -PRON- PRP 39713 537 10 ' ' `` 39713 537 11 construct construct VBP 39713 537 12 ' ' '' 39713 537 13 combinations combination NNS 39713 537 14 more more RBR 39713 537 15 and and CC 39713 537 16 more more RBR 39713 537 17 complicated complicated JJ 39713 537 18 . . . 39713 538 1 Coming come VBG 39713 538 2 back back RB 39713 538 3 then then RB 39713 538 4 by by IN 39713 538 5 the the DT 39713 538 6 analysis analysis NN 39713 538 7 of of IN 39713 538 8 these these DT 39713 538 9 combinations combination NNS 39713 538 10 , , , 39713 538 11 of of IN 39713 538 12 these these DT 39713 538 13 aggregates aggregate NNS 39713 538 14 , , , 39713 538 15 so so RB 39713 538 16 to to TO 39713 538 17 speak speak VB 39713 538 18 , , , 39713 538 19 to to IN 39713 538 20 their -PRON- PRP$ 39713 538 21 primitive primitive JJ 39713 538 22 elements element NNS 39713 538 23 , , , 39713 538 24 they -PRON- PRP 39713 538 25 perceive perceive VBP 39713 538 26 the the DT 39713 538 27 relations relation NNS 39713 538 28 of of IN 39713 538 29 these these DT 39713 538 30 elements element NNS 39713 538 31 and and CC 39713 538 32 from from IN 39713 538 33 them -PRON- PRP 39713 538 34 deduce deduce VBP 39713 538 35 the the DT 39713 538 36 relations relation NNS 39713 538 37 of of IN 39713 538 38 the the DT 39713 538 39 aggregates aggregate NNS 39713 538 40 themselves -PRON- PRP 39713 538 41 . . . 39713 539 1 This this DT 39713 539 2 is be VBZ 39713 539 3 a a DT 39713 539 4 purely purely RB 39713 539 5 analytical analytical JJ 39713 539 6 proceeding proceeding NN 39713 539 7 , , , 39713 539 8 but but CC 39713 539 9 it -PRON- PRP 39713 539 10 is be VBZ 39713 539 11 not not RB 39713 539 12 , , , 39713 539 13 however however RB 39713 539 14 , , , 39713 539 15 a a DT 39713 539 16 proceeding proceeding NN 39713 539 17 from from IN 39713 539 18 the the DT 39713 539 19 general general NN 39713 539 20 to to IN 39713 539 21 the the DT 39713 539 22 particular particular JJ 39713 539 23 , , , 39713 539 24 because because IN 39713 539 25 evidently evidently RB 39713 539 26 the the DT 39713 539 27 aggregates aggregate NNS 39713 539 28 can can MD 39713 539 29 not not RB 39713 539 30 be be VB 39713 539 31 regarded regard VBN 39713 539 32 as as IN 39713 539 33 more more RBR 39713 539 34 particular particular JJ 39713 539 35 than than IN 39713 539 36 their -PRON- PRP$ 39713 539 37 elements element NNS 39713 539 38 . . . 39713 540 1 Great great JJ 39713 540 2 importance importance NN 39713 540 3 , , , 39713 540 4 and and CC 39713 540 5 justly justly RB 39713 540 6 , , , 39713 540 7 has have VBZ 39713 540 8 been be VBN 39713 540 9 attached attach VBN 39713 540 10 to to IN 39713 540 11 this this DT 39713 540 12 procedure procedure NN 39713 540 13 of of IN 39713 540 14 ' ' `` 39713 540 15 construction construction NN 39713 540 16 , , , 39713 540 17 ' ' '' 39713 540 18 and and CC 39713 540 19 some some DT 39713 540 20 have have VBP 39713 540 21 tried try VBN 39713 540 22 to to TO 39713 540 23 see see VB 39713 540 24 in in IN 39713 540 25 it -PRON- PRP 39713 540 26 the the DT 39713 540 27 necessary necessary JJ 39713 540 28 and and CC 39713 540 29 sufficient sufficient JJ 39713 540 30 condition condition NN 39713 540 31 for for IN 39713 540 32 the the DT 39713 540 33 progress progress NN 39713 540 34 of of IN 39713 540 35 the the DT 39713 540 36 exact exact JJ 39713 540 37 sciences science NNS 39713 540 38 . . . 39713 541 1 Necessary necessary JJ 39713 541 2 , , , 39713 541 3 without without IN 39713 541 4 doubt doubt NN 39713 541 5 ; ; : 39713 541 6 but but CC 39713 541 7 sufficient sufficient JJ 39713 541 8 , , , 39713 541 9 no no UH 39713 541 10 . . . 39713 542 1 For for IN 39713 542 2 a a DT 39713 542 3 construction construction NN 39713 542 4 to to TO 39713 542 5 be be VB 39713 542 6 useful useful JJ 39713 542 7 and and CC 39713 542 8 not not RB 39713 542 9 a a DT 39713 542 10 vain vain JJ 39713 542 11 toil toil NN 39713 542 12 for for IN 39713 542 13 the the DT 39713 542 14 mind mind NN 39713 542 15 , , , 39713 542 16 that that IN 39713 542 17 it -PRON- PRP 39713 542 18 may may MD 39713 542 19 serve serve VB 39713 542 20 as as IN 39713 542 21 stepping stepping JJ 39713 542 22 - - HYPH 39713 542 23 stone stone NN 39713 542 24 to to IN 39713 542 25 one one CD 39713 542 26 wishing wish VBG 39713 542 27 to to TO 39713 542 28 mount mount NNP 39713 542 29 , , , 39713 542 30 it -PRON- PRP 39713 542 31 must must MD 39713 542 32 first first RB 39713 542 33 of of IN 39713 542 34 all all DT 39713 542 35 possess possess VB 39713 542 36 a a DT 39713 542 37 sort sort NN 39713 542 38 of of IN 39713 542 39 unity unity NN 39713 542 40 enabling enable VBG 39713 542 41 us -PRON- PRP 39713 542 42 to to TO 39713 542 43 see see VB 39713 542 44 in in IN 39713 542 45 it -PRON- PRP 39713 542 46 something something NN 39713 542 47 besides besides IN 39713 542 48 the the DT 39713 542 49 juxtaposition juxtaposition NN 39713 542 50 of of IN 39713 542 51 its -PRON- PRP$ 39713 542 52 elements element NNS 39713 542 53 . . . 39713 543 1 Or or CC 39713 543 2 , , , 39713 543 3 more more RBR 39713 543 4 exactly exactly RB 39713 543 5 , , , 39713 543 6 there there EX 39713 543 7 must must MD 39713 543 8 be be VB 39713 543 9 some some DT 39713 543 10 advantage advantage NN 39713 543 11 in in IN 39713 543 12 considering consider VBG 39713 543 13 the the DT 39713 543 14 construction construction NN 39713 543 15 rather rather RB 39713 543 16 than than IN 39713 543 17 its -PRON- PRP$ 39713 543 18 elements element NNS 39713 543 19 themselves -PRON- PRP 39713 543 20 . . . 39713 544 1 What what WP 39713 544 2 can can MD 39713 544 3 this this DT 39713 544 4 advantage advantage NN 39713 544 5 be be VB 39713 544 6 ? ? . 39713 545 1 Why why WRB 39713 545 2 reason reason NN 39713 545 3 on on IN 39713 545 4 a a DT 39713 545 5 polygon polygon NN 39713 545 6 , , , 39713 545 7 for for IN 39713 545 8 instance instance NN 39713 545 9 , , , 39713 545 10 which which WDT 39713 545 11 is be VBZ 39713 545 12 always always RB 39713 545 13 decomposable decomposable JJ 39713 545 14 into into IN 39713 545 15 triangles triangle NNS 39713 545 16 , , , 39713 545 17 and and CC 39713 545 18 not not RB 39713 545 19 on on IN 39713 545 20 the the DT 39713 545 21 elementary elementary JJ 39713 545 22 triangles triangle NNS 39713 545 23 ? ? . 39713 546 1 It -PRON- PRP 39713 546 2 is be VBZ 39713 546 3 because because IN 39713 546 4 there there EX 39713 546 5 are be VBP 39713 546 6 properties property NNS 39713 546 7 appertaining appertain VBG 39713 546 8 to to IN 39713 546 9 polygons polygon NNS 39713 546 10 of of IN 39713 546 11 any any DT 39713 546 12 number number NN 39713 546 13 of of IN 39713 546 14 sides side NNS 39713 546 15 and and CC 39713 546 16 that that WDT 39713 546 17 may may MD 39713 546 18 be be VB 39713 546 19 immediately immediately RB 39713 546 20 applied apply VBN 39713 546 21 to to IN 39713 546 22 any any DT 39713 546 23 particular particular JJ 39713 546 24 polygon polygon NN 39713 546 25 . . . 39713 547 1 Usually usually RB 39713 547 2 , , , 39713 547 3 on on IN 39713 547 4 the the DT 39713 547 5 contrary contrary NN 39713 547 6 , , , 39713 547 7 it -PRON- PRP 39713 547 8 is be VBZ 39713 547 9 only only RB 39713 547 10 at at IN 39713 547 11 the the DT 39713 547 12 cost cost NN 39713 547 13 of of IN 39713 547 14 the the DT 39713 547 15 most most RBS 39713 547 16 prolonged prolonged JJ 39713 547 17 exertions exertion NNS 39713 547 18 that that IN 39713 547 19 they -PRON- PRP 39713 547 20 could could MD 39713 547 21 be be VB 39713 547 22 found find VBN 39713 547 23 by by IN 39713 547 24 studying study VBG 39713 547 25 directly directly RB 39713 547 26 the the DT 39713 547 27 relations relation NNS 39713 547 28 of of IN 39713 547 29 the the DT 39713 547 30 elementary elementary JJ 39713 547 31 triangles triangle NNS 39713 547 32 . . . 39713 548 1 The the DT 39713 548 2 knowledge knowledge NN 39713 548 3 of of IN 39713 548 4 the the DT 39713 548 5 general general JJ 39713 548 6 theorem theorem NN 39713 548 7 spares spare VBZ 39713 548 8 us -PRON- PRP 39713 548 9 these these DT 39713 548 10 efforts effort NNS 39713 548 11 . . . 39713 549 1 A a DT 39713 549 2 construction construction NN 39713 549 3 , , , 39713 549 4 therefore therefore RB 39713 549 5 , , , 39713 549 6 becomes become VBZ 39713 549 7 interesting interesting JJ 39713 549 8 only only RB 39713 549 9 when when WRB 39713 549 10 it -PRON- PRP 39713 549 11 can can MD 39713 549 12 be be VB 39713 549 13 ranged range VBN 39713 549 14 beside beside IN 39713 549 15 other other JJ 39713 549 16 analogous analogous JJ 39713 549 17 constructions construction NNS 39713 549 18 , , , 39713 549 19 forming form VBG 39713 549 20 species specie NNS 39713 549 21 of of IN 39713 549 22 the the DT 39713 549 23 same same JJ 39713 549 24 genus genus NN 39713 549 25 . . . 39713 550 1 If if IN 39713 550 2 the the DT 39713 550 3 quadrilateral quadrilateral NN 39713 550 4 is be VBZ 39713 550 5 something something NN 39713 550 6 besides besides IN 39713 550 7 the the DT 39713 550 8 juxtaposition juxtaposition NN 39713 550 9 of of IN 39713 550 10 two two CD 39713 550 11 triangles triangle NNS 39713 550 12 , , , 39713 550 13 this this DT 39713 550 14 is be VBZ 39713 550 15 because because IN 39713 550 16 it -PRON- PRP 39713 550 17 belongs belong VBZ 39713 550 18 to to IN 39713 550 19 the the DT 39713 550 20 genus genus JJ 39713 550 21 polygon polygon NN 39713 550 22 . . . 39713 551 1 Moreover moreover RB 39713 551 2 , , , 39713 551 3 one one PRP 39713 551 4 must must MD 39713 551 5 be be VB 39713 551 6 able able JJ 39713 551 7 to to TO 39713 551 8 demonstrate demonstrate VB 39713 551 9 the the DT 39713 551 10 properties property NNS 39713 551 11 of of IN 39713 551 12 the the DT 39713 551 13 genus genus NN 39713 551 14 without without IN 39713 551 15 being be VBG 39713 551 16 forced force VBN 39713 551 17 to to TO 39713 551 18 establish establish VB 39713 551 19 them -PRON- PRP 39713 551 20 successively successively RB 39713 551 21 for for IN 39713 551 22 each each DT 39713 551 23 of of IN 39713 551 24 the the DT 39713 551 25 species specie NNS 39713 551 26 . . . 39713 552 1 To to TO 39713 552 2 attain attain VB 39713 552 3 that that DT 39713 552 4 , , , 39713 552 5 we -PRON- PRP 39713 552 6 must must MD 39713 552 7 necessarily necessarily RB 39713 552 8 mount mount VB 39713 552 9 from from IN 39713 552 10 the the DT 39713 552 11 particular particular JJ 39713 552 12 to to IN 39713 552 13 the the DT 39713 552 14 general general JJ 39713 552 15 , , , 39713 552 16 ascending ascend VBG 39713 552 17 one one CD 39713 552 18 or or CC 39713 552 19 more more JJR 39713 552 20 steps step NNS 39713 552 21 . . . 39713 553 1 The the DT 39713 553 2 analytic analytic JJ 39713 553 3 procedure procedure NN 39713 553 4 ' ' '' 39713 553 5 by by IN 39713 553 6 construction construction NN 39713 553 7 ' ' '' 39713 553 8 does do VBZ 39713 553 9 not not RB 39713 553 10 oblige oblige VB 39713 553 11 us -PRON- PRP 39713 553 12 to to TO 39713 553 13 descend descend VB 39713 553 14 , , , 39713 553 15 but but CC 39713 553 16 it -PRON- PRP 39713 553 17 leaves leave VBZ 39713 553 18 us -PRON- PRP 39713 553 19 at at IN 39713 553 20 the the DT 39713 553 21 same same JJ 39713 553 22 level level NN 39713 553 23 . . . 39713 554 1 We -PRON- PRP 39713 554 2 can can MD 39713 554 3 ascend ascend VB 39713 554 4 only only RB 39713 554 5 by by IN 39713 554 6 mathematical mathematical JJ 39713 554 7 induction induction NN 39713 554 8 , , , 39713 554 9 which which WDT 39713 554 10 alone alone RB 39713 554 11 can can MD 39713 554 12 teach teach VB 39713 554 13 us -PRON- PRP 39713 554 14 something something NN 39713 554 15 new new JJ 39713 554 16 . . . 39713 555 1 Without without IN 39713 555 2 the the DT 39713 555 3 aid aid NN 39713 555 4 of of IN 39713 555 5 this this DT 39713 555 6 induction induction NN 39713 555 7 , , , 39713 555 8 different different JJ 39713 555 9 in in IN 39713 555 10 certain certain JJ 39713 555 11 respects respect NNS 39713 555 12 from from IN 39713 555 13 physical physical JJ 39713 555 14 induction induction NN 39713 555 15 , , , 39713 555 16 but but CC 39713 555 17 quite quite RB 39713 555 18 as as IN 39713 555 19 fertile fertile JJ 39713 555 20 , , , 39713 555 21 construction construction NN 39713 555 22 would would MD 39713 555 23 be be VB 39713 555 24 powerless powerless JJ 39713 555 25 to to TO 39713 555 26 create create VB 39713 555 27 science science NN 39713 555 28 . . . 39713 556 1 Observe observe VB 39713 556 2 finally finally RB 39713 556 3 that that IN 39713 556 4 this this DT 39713 556 5 induction induction NN 39713 556 6 is be VBZ 39713 556 7 possible possible JJ 39713 556 8 only only RB 39713 556 9 if if IN 39713 556 10 the the DT 39713 556 11 same same JJ 39713 556 12 operation operation NN 39713 556 13 can can MD 39713 556 14 be be VB 39713 556 15 repeated repeat VBN 39713 556 16 indefinitely indefinitely RB 39713 556 17 . . . 39713 557 1 That that DT 39713 557 2 is be VBZ 39713 557 3 why why WRB 39713 557 4 the the DT 39713 557 5 theory theory NN 39713 557 6 of of IN 39713 557 7 chess chess NN 39713 557 8 can can MD 39713 557 9 never never RB 39713 557 10 become become VB 39713 557 11 a a DT 39713 557 12 science science NN 39713 557 13 , , , 39713 557 14 for for IN 39713 557 15 the the DT 39713 557 16 different different JJ 39713 557 17 moves move NNS 39713 557 18 of of IN 39713 557 19 the the DT 39713 557 20 same same JJ 39713 557 21 game game NN 39713 557 22 do do VBP 39713 557 23 not not RB 39713 557 24 resemble resemble VB 39713 557 25 one one CD 39713 557 26 another another DT 39713 557 27 . . . 39713 558 1 CHAPTER CHAPTER NNP 39713 558 2 II II NNP 39713 558 3 MATHEMATICAL mathematical NN 39713 558 4 MAGNITUDE magnitude NN 39713 558 5 AND and CC 39713 558 6 EXPERIENCE EXPERIENCE NNS 39713 558 7 To to TO 39713 558 8 learn learn VB 39713 558 9 what what WP 39713 558 10 mathematicians mathematician NNS 39713 558 11 understand understand VBP 39713 558 12 by by IN 39713 558 13 a a DT 39713 558 14 continuum continuum NN 39713 558 15 , , , 39713 558 16 one one PRP 39713 558 17 should should MD 39713 558 18 not not RB 39713 558 19 inquire inquire VB 39713 558 20 of of IN 39713 558 21 geometry geometry NN 39713 558 22 . . . 39713 559 1 The the DT 39713 559 2 geometer geometer NN 39713 559 3 always always RB 39713 559 4 seeks seek VBZ 39713 559 5 to to TO 39713 559 6 represent represent VB 39713 559 7 to to IN 39713 559 8 himself -PRON- PRP 39713 559 9 more more RBR 39713 559 10 or or CC 39713 559 11 less less RBR 39713 559 12 the the DT 39713 559 13 figures figure NNS 39713 559 14 he -PRON- PRP 39713 559 15 studies study VBZ 39713 559 16 , , , 39713 559 17 but but CC 39713 559 18 his -PRON- PRP$ 39713 559 19 representations representation NNS 39713 559 20 are be VBP 39713 559 21 for for IN 39713 559 22 him -PRON- PRP 39713 559 23 only only JJ 39713 559 24 instruments instrument NNS 39713 559 25 ; ; : 39713 559 26 in in IN 39713 559 27 making make VBG 39713 559 28 geometry geometry NN 39713 559 29 he -PRON- PRP 39713 559 30 uses use VBZ 39713 559 31 space space NN 39713 559 32 just just RB 39713 559 33 as as IN 39713 559 34 he -PRON- PRP 39713 559 35 does do VBZ 39713 559 36 chalk chalk VB 39713 559 37 ; ; : 39713 559 38 so so RB 39713 559 39 too too RB 39713 559 40 much much JJ 39713 559 41 weight weight NN 39713 559 42 should should MD 39713 559 43 not not RB 39713 559 44 be be VB 39713 559 45 attached attach VBN 39713 559 46 to to IN 39713 559 47 non non JJ 39713 559 48 - - NNS 39713 559 49 essentials essential NNS 39713 559 50 , , , 39713 559 51 often often RB 39713 559 52 of of IN 39713 559 53 no no DT 39713 559 54 more more JJR 39713 559 55 importance importance NN 39713 559 56 than than IN 39713 559 57 the the DT 39713 559 58 whiteness whiteness NN 39713 559 59 of of IN 39713 559 60 the the DT 39713 559 61 chalk chalk NN 39713 559 62 . . . 39713 560 1 The the DT 39713 560 2 pure pure JJ 39713 560 3 analyst analyst NN 39713 560 4 has have VBZ 39713 560 5 not not RB 39713 560 6 this this DT 39713 560 7 rock rock NN 39713 560 8 to to TO 39713 560 9 fear fear VB 39713 560 10 . . . 39713 561 1 He -PRON- PRP 39713 561 2 has have VBZ 39713 561 3 disengaged disengage VBN 39713 561 4 the the DT 39713 561 5 science science NN 39713 561 6 of of IN 39713 561 7 mathematics mathematic NNS 39713 561 8 from from IN 39713 561 9 all all DT 39713 561 10 foreign foreign JJ 39713 561 11 elements element NNS 39713 561 12 , , , 39713 561 13 and and CC 39713 561 14 can can MD 39713 561 15 answer answer VB 39713 561 16 our -PRON- PRP$ 39713 561 17 question question NN 39713 561 18 : : : 39713 561 19 ' ' '' 39713 561 20 What what WP 39713 561 21 exactly exactly RB 39713 561 22 is be VBZ 39713 561 23 this this DT 39713 561 24 continuum continuum NN 39713 561 25 about about IN 39713 561 26 which which WDT 39713 561 27 mathematicians mathematician VBZ 39713 561 28 reason reason NN 39713 561 29 ? ? . 39713 561 30 ' ' '' 39713 562 1 Many many JJ 39713 562 2 analysts analyst NNS 39713 562 3 who who WP 39713 562 4 reflect reflect VBP 39713 562 5 on on IN 39713 562 6 their -PRON- PRP$ 39713 562 7 art art NN 39713 562 8 have have VBP 39713 562 9 answered answer VBN 39713 562 10 already already RB 39713 562 11 ; ; : 39713 562 12 Monsieur Monsieur NNP 39713 562 13 Tannery Tannery NNP 39713 562 14 , , , 39713 562 15 for for IN 39713 562 16 example example NN 39713 562 17 , , , 39713 562 18 in in IN 39713 562 19 his -PRON- PRP$ 39713 562 20 _ _ NNP 39713 562 21 Introduction Introduction NNP 39713 562 22 à à NNP 39713 562 23 la la NNP 39713 562 24 théorie théorie NNP 39713 562 25 des des NNP 39713 562 26 fonctions fonction NNS 39713 562 27 d'une d'une NNP 39713 562 28 variable variable JJ 39713 562 29 _ _ NNP 39713 562 30 . . . 39713 563 1 Let let VB 39713 563 2 us -PRON- PRP 39713 563 3 start start VB 39713 563 4 from from IN 39713 563 5 the the DT 39713 563 6 scale scale NN 39713 563 7 of of IN 39713 563 8 whole whole JJ 39713 563 9 numbers number NNS 39713 563 10 ; ; : 39713 563 11 between between IN 39713 563 12 two two CD 39713 563 13 consecutive consecutive JJ 39713 563 14 steps step NNS 39713 563 15 , , , 39713 563 16 intercalate intercalate VBP 39713 563 17 one one CD 39713 563 18 or or CC 39713 563 19 more more JJR 39713 563 20 intermediary intermediary JJ 39713 563 21 steps step NNS 39713 563 22 , , , 39713 563 23 then then RB 39713 563 24 between between IN 39713 563 25 these these DT 39713 563 26 new new JJ 39713 563 27 steps step NNS 39713 563 28 still still RB 39713 563 29 others other NNS 39713 563 30 , , , 39713 563 31 and and CC 39713 563 32 so so RB 39713 563 33 on on RB 39713 563 34 indefinitely indefinitely RB 39713 563 35 . . . 39713 564 1 Thus thus RB 39713 564 2 we -PRON- PRP 39713 564 3 shall shall MD 39713 564 4 have have VB 39713 564 5 an an DT 39713 564 6 unlimited unlimited JJ 39713 564 7 number number NN 39713 564 8 of of IN 39713 564 9 terms term NNS 39713 564 10 ; ; : 39713 564 11 these these DT 39713 564 12 will will MD 39713 564 13 be be VB 39713 564 14 the the DT 39713 564 15 numbers number NNS 39713 564 16 called call VBN 39713 564 17 fractional fractional JJ 39713 564 18 , , , 39713 564 19 rational rational JJ 39713 564 20 or or CC 39713 564 21 commensurable commensurable JJ 39713 564 22 . . . 39713 565 1 But but CC 39713 565 2 this this DT 39713 565 3 is be VBZ 39713 565 4 not not RB 39713 565 5 yet yet RB 39713 565 6 enough enough RB 39713 565 7 ; ; : 39713 565 8 between between IN 39713 565 9 these these DT 39713 565 10 terms term NNS 39713 565 11 , , , 39713 565 12 which which WDT 39713 565 13 , , , 39713 565 14 however however RB 39713 565 15 , , , 39713 565 16 are be VBP 39713 565 17 already already RB 39713 565 18 infinite infinite JJ 39713 565 19 in in IN 39713 565 20 number number NN 39713 565 21 , , , 39713 565 22 it -PRON- PRP 39713 565 23 is be VBZ 39713 565 24 still still RB 39713 565 25 necessary necessary JJ 39713 565 26 to to TO 39713 565 27 intercalate intercalate VB 39713 565 28 others other NNS 39713 565 29 called call VBN 39713 565 30 irrational irrational JJ 39713 565 31 or or CC 39713 565 32 incommensurable incommensurable JJ 39713 565 33 . . . 39713 566 1 A a DT 39713 566 2 remark remark NN 39713 566 3 before before IN 39713 566 4 going go VBG 39713 566 5 further further RB 39713 566 6 . . . 39713 567 1 The the DT 39713 567 2 continuum continuum NN 39713 567 3 so so RB 39713 567 4 conceived conceive VBN 39713 567 5 is be VBZ 39713 567 6 only only RB 39713 567 7 a a DT 39713 567 8 collection collection NN 39713 567 9 of of IN 39713 567 10 individuals individual NNS 39713 567 11 ranged range VBN 39713 567 12 in in IN 39713 567 13 a a DT 39713 567 14 certain certain JJ 39713 567 15 order order NN 39713 567 16 , , , 39713 567 17 infinite infinite VB 39713 567 18 in in IN 39713 567 19 number number NN 39713 567 20 , , , 39713 567 21 it -PRON- PRP 39713 567 22 is be VBZ 39713 567 23 true true JJ 39713 567 24 , , , 39713 567 25 but but CC 39713 567 26 _ _ NNP 39713 567 27 exterior exterior NNP 39713 567 28 _ _ NNP 39713 567 29 to to IN 39713 567 30 one one CD 39713 567 31 another another DT 39713 567 32 . . . 39713 568 1 This this DT 39713 568 2 is be VBZ 39713 568 3 not not RB 39713 568 4 the the DT 39713 568 5 ordinary ordinary JJ 39713 568 6 conception conception NN 39713 568 7 , , , 39713 568 8 wherein wherein WRB 39713 568 9 is be VBZ 39713 568 10 supposed suppose VBN 39713 568 11 between between IN 39713 568 12 the the DT 39713 568 13 elements element NNS 39713 568 14 of of IN 39713 568 15 the the DT 39713 568 16 continuum continuum NN 39713 568 17 a a DT 39713 568 18 sort sort NN 39713 568 19 of of IN 39713 568 20 intimate intimate JJ 39713 568 21 bond bond NN 39713 568 22 which which WDT 39713 568 23 makes make VBZ 39713 568 24 of of IN 39713 568 25 them -PRON- PRP 39713 568 26 a a DT 39713 568 27 whole whole NN 39713 568 28 , , , 39713 568 29 where where WRB 39713 568 30 the the DT 39713 568 31 point point NN 39713 568 32 does do VBZ 39713 568 33 not not RB 39713 568 34 exist exist VB 39713 568 35 before before IN 39713 568 36 the the DT 39713 568 37 line line NN 39713 568 38 , , , 39713 568 39 but but CC 39713 568 40 the the DT 39713 568 41 line line NN 39713 568 42 before before IN 39713 568 43 the the DT 39713 568 44 point point NN 39713 568 45 . . . 39713 569 1 Of of IN 39713 569 2 the the DT 39713 569 3 celebrated celebrated JJ 39713 569 4 formula formula NN 39713 569 5 , , , 39713 569 6 ' ' '' 39713 569 7 the the DT 39713 569 8 continuum continuum NN 39713 569 9 is be VBZ 39713 569 10 unity unity NN 39713 569 11 in in IN 39713 569 12 multiplicity multiplicity NN 39713 569 13 , , , 39713 569 14 ' ' '' 39713 569 15 only only RB 39713 569 16 the the DT 39713 569 17 multiplicity multiplicity NN 39713 569 18 remains remain VBZ 39713 569 19 , , , 39713 569 20 the the DT 39713 569 21 unity unity NN 39713 569 22 has have VBZ 39713 569 23 disappeared disappear VBN 39713 569 24 . . . 39713 570 1 The the DT 39713 570 2 analysts analyst NNS 39713 570 3 are be VBP 39713 570 4 none none NN 39713 570 5 the the DT 39713 570 6 less less RBR 39713 570 7 right right JJ 39713 570 8 in in IN 39713 570 9 defining define VBG 39713 570 10 their -PRON- PRP$ 39713 570 11 continuum continuum NN 39713 570 12 as as IN 39713 570 13 they -PRON- PRP 39713 570 14 do do VBP 39713 570 15 , , , 39713 570 16 for for IN 39713 570 17 they -PRON- PRP 39713 570 18 always always RB 39713 570 19 reason reason VBP 39713 570 20 on on IN 39713 570 21 just just RB 39713 570 22 this this DT 39713 570 23 as as RB 39713 570 24 soon soon RB 39713 570 25 as as IN 39713 570 26 they -PRON- PRP 39713 570 27 pique pique VBP 39713 570 28 themselves -PRON- PRP 39713 570 29 on on IN 39713 570 30 their -PRON- PRP$ 39713 570 31 rigor rigor NN 39713 570 32 . . . 39713 571 1 But but CC 39713 571 2 this this DT 39713 571 3 is be VBZ 39713 571 4 enough enough JJ 39713 571 5 to to TO 39713 571 6 apprise apprise VB 39713 571 7 us -PRON- PRP 39713 571 8 that that IN 39713 571 9 the the DT 39713 571 10 veritable veritable JJ 39713 571 11 mathematical mathematical JJ 39713 571 12 continuum continuum NN 39713 571 13 is be VBZ 39713 571 14 a a DT 39713 571 15 very very RB 39713 571 16 different different JJ 39713 571 17 thing thing NN 39713 571 18 from from IN 39713 571 19 that that DT 39713 571 20 of of IN 39713 571 21 the the DT 39713 571 22 physicists physicist NNS 39713 571 23 and and CC 39713 571 24 that that DT 39713 571 25 of of IN 39713 571 26 the the DT 39713 571 27 metaphysicians metaphysicians NNPS 39713 571 28 . . . 39713 572 1 It -PRON- PRP 39713 572 2 may may MD 39713 572 3 also also RB 39713 572 4 be be VB 39713 572 5 said say VBN 39713 572 6 perhaps perhaps RB 39713 572 7 that that IN 39713 572 8 the the DT 39713 572 9 mathematicians mathematician NNS 39713 572 10 who who WP 39713 572 11 are be VBP 39713 572 12 content content JJ 39713 572 13 with with IN 39713 572 14 this this DT 39713 572 15 definition definition NN 39713 572 16 are be VBP 39713 572 17 dupes dupe NNS 39713 572 18 of of IN 39713 572 19 words word NNS 39713 572 20 , , , 39713 572 21 that that IN 39713 572 22 it -PRON- PRP 39713 572 23 is be VBZ 39713 572 24 necessary necessary JJ 39713 572 25 to to TO 39713 572 26 say say VB 39713 572 27 precisely precisely RB 39713 572 28 what what WP 39713 572 29 each each DT 39713 572 30 of of IN 39713 572 31 these these DT 39713 572 32 intermediary intermediary JJ 39713 572 33 steps step NNS 39713 572 34 is be VBZ 39713 572 35 , , , 39713 572 36 to to TO 39713 572 37 explain explain VB 39713 572 38 how how WRB 39713 572 39 they -PRON- PRP 39713 572 40 are be VBP 39713 572 41 to to TO 39713 572 42 be be VB 39713 572 43 intercalated intercalate VBN 39713 572 44 and and CC 39713 572 45 to to TO 39713 572 46 demonstrate demonstrate VB 39713 572 47 that that IN 39713 572 48 it -PRON- PRP 39713 572 49 is be VBZ 39713 572 50 possible possible JJ 39713 572 51 to to TO 39713 572 52 do do VB 39713 572 53 it -PRON- PRP 39713 572 54 . . . 39713 573 1 But but CC 39713 573 2 that that DT 39713 573 3 would would MD 39713 573 4 be be VB 39713 573 5 wrong wrong JJ 39713 573 6 ; ; : 39713 573 7 the the DT 39713 573 8 only only JJ 39713 573 9 property property NN 39713 573 10 of of IN 39713 573 11 these these DT 39713 573 12 steps step NNS 39713 573 13 which which WDT 39713 573 14 is be VBZ 39713 573 15 used use VBN 39713 573 16 in in IN 39713 573 17 their -PRON- PRP$ 39713 573 18 reasonings[2 reasonings[2 NN 39713 573 19 ] ] -RRB- 39713 573 20 is be VBZ 39713 573 21 that that DT 39713 573 22 of of IN 39713 573 23 being be VBG 39713 573 24 before before RB 39713 573 25 or or CC 39713 573 26 after after IN 39713 573 27 such such JJ 39713 573 28 and and CC 39713 573 29 such such JJ 39713 573 30 steps step NNS 39713 573 31 ; ; : 39713 573 32 therefore therefore RB 39713 573 33 also also RB 39713 573 34 this this DT 39713 573 35 alone alone RB 39713 573 36 should should MD 39713 573 37 occur occur VB 39713 573 38 in in IN 39713 573 39 the the DT 39713 573 40 definition definition NN 39713 573 41 . . . 39713 574 1 [ [ -LRB- 39713 574 2 2 2 LS 39713 574 3 ] ] -RRB- 39713 574 4 With with IN 39713 574 5 those those DT 39713 574 6 contained contain VBN 39713 574 7 in in IN 39713 574 8 the the DT 39713 574 9 special special JJ 39713 574 10 conventions convention NNS 39713 574 11 which which WDT 39713 574 12 serve serve VBP 39713 574 13 to to TO 39713 574 14 define define VB 39713 574 15 addition addition NN 39713 574 16 and and CC 39713 574 17 of of IN 39713 574 18 which which WDT 39713 574 19 we -PRON- PRP 39713 574 20 shall shall MD 39713 574 21 speak speak VB 39713 574 22 later later RB 39713 574 23 . . . 39713 575 1 So so RB 39713 575 2 how how WRB 39713 575 3 the the DT 39713 575 4 intermediary intermediary JJ 39713 575 5 terms term NNS 39713 575 6 should should MD 39713 575 7 be be VB 39713 575 8 intercalated intercalate VBN 39713 575 9 need need VBP 39713 575 10 not not RB 39713 575 11 concern concern VB 39713 575 12 us -PRON- PRP 39713 575 13 ; ; : 39713 575 14 on on IN 39713 575 15 the the DT 39713 575 16 other other JJ 39713 575 17 hand hand NN 39713 575 18 , , , 39713 575 19 no no DT 39713 575 20 one one NN 39713 575 21 will will MD 39713 575 22 doubt doubt VB 39713 575 23 the the DT 39713 575 24 possibility possibility NN 39713 575 25 of of IN 39713 575 26 this this DT 39713 575 27 operation operation NN 39713 575 28 , , , 39713 575 29 unless unless IN 39713 575 30 from from IN 39713 575 31 forgetting forget VBG 39713 575 32 that that IN 39713 575 33 possible possible JJ 39713 575 34 , , , 39713 575 35 in in IN 39713 575 36 the the DT 39713 575 37 language language NN 39713 575 38 of of IN 39713 575 39 geometers geometer NNS 39713 575 40 , , , 39713 575 41 simply simply RB 39713 575 42 means mean VBZ 39713 575 43 free free JJ 39713 575 44 from from IN 39713 575 45 contradiction contradiction NN 39713 575 46 . . . 39713 576 1 Our -PRON- PRP$ 39713 576 2 definition definition NN 39713 576 3 , , , 39713 576 4 however however RB 39713 576 5 , , , 39713 576 6 is be VBZ 39713 576 7 not not RB 39713 576 8 yet yet RB 39713 576 9 complete complete JJ 39713 576 10 , , , 39713 576 11 and and CC 39713 576 12 I -PRON- PRP 39713 576 13 return return VBP 39713 576 14 to to IN 39713 576 15 it -PRON- PRP 39713 576 16 after after IN 39713 576 17 this this DT 39713 576 18 over over IN 39713 576 19 - - HYPH 39713 576 20 long long JJ 39713 576 21 digression digression NN 39713 576 22 . . . 39713 577 1 DEFINITION DEFINITION VBN 39713 577 2 OF of IN 39713 577 3 INCOMMENSURABLES.--The incommensurables.--the JJ 39713 577 4 mathematicians mathematician NNS 39713 577 5 of of IN 39713 577 6 the the DT 39713 577 7 Berlin Berlin NNP 39713 577 8 school school NN 39713 577 9 , , , 39713 577 10 Kronecker Kronecker NNP 39713 577 11 in in IN 39713 577 12 particular particular JJ 39713 577 13 , , , 39713 577 14 have have VBP 39713 577 15 devoted devote VBN 39713 577 16 themselves -PRON- PRP 39713 577 17 to to IN 39713 577 18 constructing construct VBG 39713 577 19 this this DT 39713 577 20 continuous continuous JJ 39713 577 21 scale scale NN 39713 577 22 of of IN 39713 577 23 fractional fractional JJ 39713 577 24 and and CC 39713 577 25 irrational irrational JJ 39713 577 26 numbers number NNS 39713 577 27 without without IN 39713 577 28 using use VBG 39713 577 29 any any DT 39713 577 30 material material NN 39713 577 31 other other JJ 39713 577 32 than than IN 39713 577 33 the the DT 39713 577 34 whole whole JJ 39713 577 35 number number NN 39713 577 36 . . . 39713 578 1 The the DT 39713 578 2 mathematical mathematical JJ 39713 578 3 continuum continuum NN 39713 578 4 would would MD 39713 578 5 be be VB 39713 578 6 , , , 39713 578 7 in in IN 39713 578 8 this this DT 39713 578 9 view view NN 39713 578 10 , , , 39713 578 11 a a DT 39713 578 12 pure pure JJ 39713 578 13 creation creation NN 39713 578 14 of of IN 39713 578 15 the the DT 39713 578 16 mind mind NN 39713 578 17 , , , 39713 578 18 where where WRB 39713 578 19 experience experience NN 39713 578 20 would would MD 39713 578 21 have have VB 39713 578 22 no no DT 39713 578 23 part part NN 39713 578 24 . . . 39713 579 1 The the DT 39713 579 2 notion notion NN 39713 579 3 of of IN 39713 579 4 the the DT 39713 579 5 rational rational JJ 39713 579 6 number number NN 39713 579 7 seeming seem VBG 39713 579 8 to to IN 39713 579 9 them -PRON- PRP 39713 579 10 to to TO 39713 579 11 present present VB 39713 579 12 no no DT 39713 579 13 difficulty difficulty NN 39713 579 14 , , , 39713 579 15 they -PRON- PRP 39713 579 16 have have VBP 39713 579 17 chiefly chiefly RB 39713 579 18 striven strive VBN 39713 579 19 to to TO 39713 579 20 define define VB 39713 579 21 the the DT 39713 579 22 incommensurable incommensurable JJ 39713 579 23 number number NN 39713 579 24 . . . 39713 580 1 But but CC 39713 580 2 before before IN 39713 580 3 producing produce VBG 39713 580 4 here here RB 39713 580 5 their -PRON- PRP$ 39713 580 6 definition definition NN 39713 580 7 , , , 39713 580 8 I -PRON- PRP 39713 580 9 must must MD 39713 580 10 make make VB 39713 580 11 a a DT 39713 580 12 remark remark NN 39713 580 13 to to TO 39713 580 14 forestall forestall VB 39713 580 15 the the DT 39713 580 16 astonishment astonishment NN 39713 580 17 it -PRON- PRP 39713 580 18 is be VBZ 39713 580 19 sure sure JJ 39713 580 20 to to TO 39713 580 21 arouse arouse VB 39713 580 22 in in IN 39713 580 23 readers reader NNS 39713 580 24 unfamiliar unfamiliar JJ 39713 580 25 with with IN 39713 580 26 the the DT 39713 580 27 customs custom NNS 39713 580 28 of of IN 39713 580 29 geometers geometer NNS 39713 580 30 . . . 39713 581 1 Mathematicians mathematician NNS 39713 581 2 study study VBP 39713 581 3 not not RB 39713 581 4 objects object NNS 39713 581 5 , , , 39713 581 6 but but CC 39713 581 7 relations relation NNS 39713 581 8 between between IN 39713 581 9 objects object NNS 39713 581 10 ; ; : 39713 581 11 the the DT 39713 581 12 replacement replacement NN 39713 581 13 of of IN 39713 581 14 these these DT 39713 581 15 objects object NNS 39713 581 16 by by IN 39713 581 17 others other NNS 39713 581 18 is be VBZ 39713 581 19 therefore therefore RB 39713 581 20 indifferent indifferent JJ 39713 581 21 to to IN 39713 581 22 them -PRON- PRP 39713 581 23 , , , 39713 581 24 provided provide VBD 39713 581 25 the the DT 39713 581 26 relations relation NNS 39713 581 27 do do VBP 39713 581 28 not not RB 39713 581 29 change change VB 39713 581 30 . . . 39713 582 1 The the DT 39713 582 2 matter matter NN 39713 582 3 is be VBZ 39713 582 4 for for IN 39713 582 5 them -PRON- PRP 39713 582 6 unimportant unimportant JJ 39713 582 7 , , , 39713 582 8 the the DT 39713 582 9 form form NN 39713 582 10 alone alone RB 39713 582 11 interests interest VBZ 39713 582 12 them -PRON- PRP 39713 582 13 . . . 39713 583 1 Without without IN 39713 583 2 recalling recall VBG 39713 583 3 this this DT 39713 583 4 , , , 39713 583 5 it -PRON- PRP 39713 583 6 would would MD 39713 583 7 scarcely scarcely RB 39713 583 8 be be VB 39713 583 9 comprehensible comprehensible JJ 39713 583 10 that that IN 39713 583 11 Dedekind Dedekind NNP 39713 583 12 should should MD 39713 583 13 designate designate VB 39713 583 14 by by IN 39713 583 15 the the DT 39713 583 16 name name NN 39713 583 17 _ _ NNP 39713 583 18 incommensurable incommensurable JJ 39713 583 19 number number NN 39713 583 20 _ _ IN 39713 583 21 a a DT 39713 583 22 mere mere JJ 39713 583 23 symbol symbol NN 39713 583 24 , , , 39713 583 25 that that DT 39713 583 26 is be VBZ 39713 583 27 to to TO 39713 583 28 say say VB 39713 583 29 , , , 39713 583 30 something something NN 39713 583 31 very very RB 39713 583 32 different different JJ 39713 583 33 from from IN 39713 583 34 the the DT 39713 583 35 ordinary ordinary JJ 39713 583 36 idea idea NN 39713 583 37 of of IN 39713 583 38 a a DT 39713 583 39 quantity quantity NN 39713 583 40 , , , 39713 583 41 which which WDT 39713 583 42 should should MD 39713 583 43 be be VB 39713 583 44 measurable measurable JJ 39713 583 45 and and CC 39713 583 46 almost almost RB 39713 583 47 tangible tangible JJ 39713 583 48 . . . 39713 584 1 Let let VB 39713 584 2 us -PRON- PRP 39713 584 3 see see VB 39713 584 4 now now RB 39713 584 5 what what WP 39713 584 6 Dedekind Dedekind NNP 39713 584 7 's 's POS 39713 584 8 definition definition NN 39713 584 9 is be VBZ 39713 584 10 : : : 39713 584 11 The the DT 39713 584 12 commensurable commensurable JJ 39713 584 13 numbers number NNS 39713 584 14 can can MD 39713 584 15 in in IN 39713 584 16 an an DT 39713 584 17 infinity infinity NN 39713 584 18 of of IN 39713 584 19 ways way NNS 39713 584 20 be be VB 39713 584 21 partitioned partition VBN 39713 584 22 into into IN 39713 584 23 two two CD 39713 584 24 classes class NNS 39713 584 25 , , , 39713 584 26 such such JJ 39713 584 27 that that IN 39713 584 28 any any DT 39713 584 29 number number NN 39713 584 30 of of IN 39713 584 31 the the DT 39713 584 32 first first JJ 39713 584 33 class class NN 39713 584 34 is be VBZ 39713 584 35 greater great JJR 39713 584 36 than than IN 39713 584 37 any any DT 39713 584 38 number number NN 39713 584 39 of of IN 39713 584 40 the the DT 39713 584 41 second second JJ 39713 584 42 class class NN 39713 584 43 . . . 39713 585 1 It -PRON- PRP 39713 585 2 may may MD 39713 585 3 happen happen VB 39713 585 4 that that IN 39713 585 5 among among IN 39713 585 6 the the DT 39713 585 7 numbers number NNS 39713 585 8 of of IN 39713 585 9 the the DT 39713 585 10 first first JJ 39713 585 11 class class NN 39713 585 12 there there EX 39713 585 13 is be VBZ 39713 585 14 one one CD 39713 585 15 smaller small JJR 39713 585 16 than than IN 39713 585 17 all all PDT 39713 585 18 the the DT 39713 585 19 others other NNS 39713 585 20 ; ; : 39713 585 21 if if IN 39713 585 22 , , , 39713 585 23 for for IN 39713 585 24 example example NN 39713 585 25 , , , 39713 585 26 we -PRON- PRP 39713 585 27 range range VBP 39713 585 28 in in IN 39713 585 29 the the DT 39713 585 30 first first JJ 39713 585 31 class class NN 39713 585 32 all all DT 39713 585 33 numbers number NNS 39713 585 34 greater great JJR 39713 585 35 than than IN 39713 585 36 2 2 CD 39713 585 37 , , , 39713 585 38 and and CC 39713 585 39 2 2 CD 39713 585 40 itself -PRON- PRP 39713 585 41 , , , 39713 585 42 and and CC 39713 585 43 in in IN 39713 585 44 the the DT 39713 585 45 second second JJ 39713 585 46 class class NN 39713 585 47 all all DT 39713 585 48 numbers number NNS 39713 585 49 less less JJR 39713 585 50 than than IN 39713 585 51 2 2 CD 39713 585 52 , , , 39713 585 53 it -PRON- PRP 39713 585 54 is be VBZ 39713 585 55 clear clear JJ 39713 585 56 that that IN 39713 585 57 2 2 CD 39713 585 58 will will MD 39713 585 59 be be VB 39713 585 60 the the DT 39713 585 61 least least JJS 39713 585 62 of of IN 39713 585 63 all all DT 39713 585 64 numbers number NNS 39713 585 65 of of IN 39713 585 66 the the DT 39713 585 67 first first JJ 39713 585 68 class class NN 39713 585 69 . . . 39713 586 1 The the DT 39713 586 2 number number NN 39713 586 3 2 2 CD 39713 586 4 may may MD 39713 586 5 be be VB 39713 586 6 chosen choose VBN 39713 586 7 as as IN 39713 586 8 symbol symbol NN 39713 586 9 of of IN 39713 586 10 this this DT 39713 586 11 partition partition NN 39713 586 12 . . . 39713 587 1 It -PRON- PRP 39713 587 2 may may MD 39713 587 3 happen happen VB 39713 587 4 , , , 39713 587 5 on on IN 39713 587 6 the the DT 39713 587 7 contrary contrary NN 39713 587 8 , , , 39713 587 9 that that IN 39713 587 10 among among IN 39713 587 11 the the DT 39713 587 12 numbers number NNS 39713 587 13 of of IN 39713 587 14 the the DT 39713 587 15 second second JJ 39713 587 16 class class NN 39713 587 17 is be VBZ 39713 587 18 one one CD 39713 587 19 greater great JJR 39713 587 20 than than IN 39713 587 21 all all PDT 39713 587 22 the the DT 39713 587 23 others other NNS 39713 587 24 ; ; : 39713 587 25 this this DT 39713 587 26 is be VBZ 39713 587 27 the the DT 39713 587 28 case case NN 39713 587 29 , , , 39713 587 30 for for IN 39713 587 31 example example NN 39713 587 32 , , , 39713 587 33 if if IN 39713 587 34 the the DT 39713 587 35 first first JJ 39713 587 36 class class NN 39713 587 37 comprehends comprehend VBZ 39713 587 38 all all DT 39713 587 39 numbers number NNS 39713 587 40 greater great JJR 39713 587 41 than than IN 39713 587 42 2 2 CD 39713 587 43 , , , 39713 587 44 and and CC 39713 587 45 the the DT 39713 587 46 second second JJ 39713 587 47 all all DT 39713 587 48 numbers number NNS 39713 587 49 less less JJR 39713 587 50 than than IN 39713 587 51 2 2 CD 39713 587 52 , , , 39713 587 53 and and CC 39713 587 54 2 2 CD 39713 587 55 itself -PRON- PRP 39713 587 56 . . . 39713 588 1 Here here RB 39713 588 2 again again RB 39713 588 3 the the DT 39713 588 4 number number NN 39713 588 5 2 2 CD 39713 588 6 may may MD 39713 588 7 be be VB 39713 588 8 chosen choose VBN 39713 588 9 as as IN 39713 588 10 symbol symbol NN 39713 588 11 of of IN 39713 588 12 this this DT 39713 588 13 partition partition NN 39713 588 14 . . . 39713 589 1 But but CC 39713 589 2 it -PRON- PRP 39713 589 3 may may MD 39713 589 4 equally equally RB 39713 589 5 well well RB 39713 589 6 happen happen VB 39713 589 7 that that IN 39713 589 8 neither neither DT 39713 589 9 is be VBZ 39713 589 10 there there RB 39713 589 11 in in IN 39713 589 12 the the DT 39713 589 13 first first JJ 39713 589 14 class class NN 39713 589 15 a a DT 39713 589 16 number number NN 39713 589 17 less less JJR 39713 589 18 than than IN 39713 589 19 all all PDT 39713 589 20 the the DT 39713 589 21 others other NNS 39713 589 22 , , , 39713 589 23 nor nor CC 39713 589 24 in in IN 39713 589 25 the the DT 39713 589 26 second second JJ 39713 589 27 class class NN 39713 589 28 a a DT 39713 589 29 number number NN 39713 589 30 greater great JJR 39713 589 31 than than IN 39713 589 32 all all PDT 39713 589 33 the the DT 39713 589 34 others other NNS 39713 589 35 . . . 39713 590 1 Suppose suppose VB 39713 590 2 , , , 39713 590 3 for for IN 39713 590 4 example example NN 39713 590 5 , , , 39713 590 6 we -PRON- PRP 39713 590 7 put put VBD 39713 590 8 in in IN 39713 590 9 the the DT 39713 590 10 first first JJ 39713 590 11 class class NN 39713 590 12 all all DT 39713 590 13 commensurable commensurable JJ 39713 590 14 numbers number NNS 39713 590 15 whose whose WP$ 39713 590 16 squares square NNS 39713 590 17 are be VBP 39713 590 18 greater great JJR 39713 590 19 than than IN 39713 590 20 2 2 CD 39713 590 21 and and CC 39713 590 22 in in IN 39713 590 23 the the DT 39713 590 24 second second NN 39713 590 25 all all DT 39713 590 26 whose whose WP$ 39713 590 27 squares square NNS 39713 590 28 are be VBP 39713 590 29 less less JJR 39713 590 30 than than IN 39713 590 31 2 2 CD 39713 590 32 . . . 39713 591 1 There there EX 39713 591 2 is be VBZ 39713 591 3 none none NN 39713 591 4 whose whose WP$ 39713 591 5 square square NN 39713 591 6 is be VBZ 39713 591 7 precisely precisely RB 39713 591 8 2 2 CD 39713 591 9 . . . 39713 592 1 Evidently evidently RB 39713 592 2 there there EX 39713 592 3 is be VBZ 39713 592 4 not not RB 39713 592 5 in in IN 39713 592 6 the the DT 39713 592 7 first first JJ 39713 592 8 class class NN 39713 592 9 a a DT 39713 592 10 number number NN 39713 592 11 less less JJR 39713 592 12 than than IN 39713 592 13 all all PDT 39713 592 14 the the DT 39713 592 15 others other NNS 39713 592 16 , , , 39713 592 17 for for IN 39713 592 18 , , , 39713 592 19 however however RB 39713 592 20 near near IN 39713 592 21 the the DT 39713 592 22 square square NN 39713 592 23 of of IN 39713 592 24 a a DT 39713 592 25 number number NN 39713 592 26 may may MD 39713 592 27 be be VB 39713 592 28 to to IN 39713 592 29 2 2 CD 39713 592 30 , , , 39713 592 31 we -PRON- PRP 39713 592 32 can can MD 39713 592 33 always always RB 39713 592 34 find find VB 39713 592 35 a a DT 39713 592 36 commensurable commensurable JJ 39713 592 37 number number NN 39713 592 38 whose whose WP$ 39713 592 39 square square NN 39713 592 40 is be VBZ 39713 592 41 still still RB 39713 592 42 closer close JJR 39713 592 43 to to IN 39713 592 44 2 2 CD 39713 592 45 . . . 39713 593 1 In in IN 39713 593 2 Dedekind Dedekind NNP 39713 593 3 's 's POS 39713 593 4 view view NN 39713 593 5 , , , 39713 593 6 the the DT 39713 593 7 incommensurable incommensurable JJ 39713 593 8 number number NN 39713 593 9 sqrt(2 sqrt(2 NNP 39713 593 10 ) ) -RRB- 39713 593 11 or or CC 39713 593 12 ( ( -LRB- 39713 593 13 2)^{1/2 2)^{1/2 CD 39713 593 14 } } -RRB- 39713 593 15 is be VBZ 39713 593 16 nothing nothing NN 39713 593 17 but but IN 39713 593 18 the the DT 39713 593 19 symbol symbol NN 39713 593 20 of of IN 39713 593 21 this this DT 39713 593 22 particular particular JJ 39713 593 23 mode mode NN 39713 593 24 of of IN 39713 593 25 partition partition NN 39713 593 26 of of IN 39713 593 27 commensurable commensurable JJ 39713 593 28 numbers number NNS 39713 593 29 ; ; : 39713 593 30 and and CC 39713 593 31 to to IN 39713 593 32 each each DT 39713 593 33 mode mode NN 39713 593 34 of of IN 39713 593 35 partition partition NN 39713 593 36 corresponds correspond VBZ 39713 593 37 thus thus RB 39713 593 38 a a DT 39713 593 39 number number NN 39713 593 40 , , , 39713 593 41 commensurable commensurable JJ 39713 593 42 or or CC 39713 593 43 not not RB 39713 593 44 , , , 39713 593 45 which which WDT 39713 593 46 serves serve VBZ 39713 593 47 as as IN 39713 593 48 its -PRON- PRP$ 39713 593 49 symbol symbol NN 39713 593 50 . . . 39713 594 1 But but CC 39713 594 2 to to TO 39713 594 3 be be VB 39713 594 4 content content JJ 39713 594 5 with with IN 39713 594 6 this this DT 39713 594 7 would would MD 39713 594 8 be be VB 39713 594 9 to to TO 39713 594 10 forget forget VB 39713 594 11 too too RB 39713 594 12 far far RB 39713 594 13 the the DT 39713 594 14 origin origin NN 39713 594 15 of of IN 39713 594 16 these these DT 39713 594 17 symbols symbol NNS 39713 594 18 ; ; : 39713 594 19 it -PRON- PRP 39713 594 20 remains remain VBZ 39713 594 21 to to TO 39713 594 22 explain explain VB 39713 594 23 how how WRB 39713 594 24 we -PRON- PRP 39713 594 25 have have VBP 39713 594 26 been be VBN 39713 594 27 led lead VBN 39713 594 28 to to TO 39713 594 29 attribute attribute VB 39713 594 30 to to IN 39713 594 31 them -PRON- PRP 39713 594 32 a a DT 39713 594 33 sort sort NN 39713 594 34 of of IN 39713 594 35 concrete concrete JJ 39713 594 36 existence existence NN 39713 594 37 , , , 39713 594 38 and and CC 39713 594 39 , , , 39713 594 40 besides besides RB 39713 594 41 , , , 39713 594 42 does do VBZ 39713 594 43 not not RB 39713 594 44 the the DT 39713 594 45 difficulty difficulty NN 39713 594 46 begin begin VB 39713 594 47 even even RB 39713 594 48 for for IN 39713 594 49 the the DT 39713 594 50 fractional fractional JJ 39713 594 51 numbers number NNS 39713 594 52 themselves -PRON- PRP 39713 594 53 ? ? . 39713 595 1 Should Should MD 39713 595 2 we -PRON- PRP 39713 595 3 have have VB 39713 595 4 the the DT 39713 595 5 notion notion NN 39713 595 6 of of IN 39713 595 7 these these DT 39713 595 8 numbers number NNS 39713 595 9 if if IN 39713 595 10 we -PRON- PRP 39713 595 11 had have VBD 39713 595 12 not not RB 39713 595 13 previously previously RB 39713 595 14 known know VBN 39713 595 15 a a DT 39713 595 16 matter matter NN 39713 595 17 that that IN 39713 595 18 we -PRON- PRP 39713 595 19 conceive conceive VBP 39713 595 20 as as IN 39713 595 21 infinitely infinitely RB 39713 595 22 divisible divisible JJ 39713 595 23 , , , 39713 595 24 that that DT 39713 595 25 is be VBZ 39713 595 26 to to TO 39713 595 27 say say VB 39713 595 28 , , , 39713 595 29 a a DT 39713 595 30 continuum continuum NN 39713 595 31 ? ? . 39713 596 1 THE the DT 39713 596 2 PHYSICAL PHYSICAL NNP 39713 596 3 CONTINUUM.--We CONTINUUM.--We NNP 39713 596 4 ask ask VB 39713 596 5 ourselves -PRON- PRP 39713 596 6 then then RB 39713 596 7 if if IN 39713 596 8 the the DT 39713 596 9 notion notion NN 39713 596 10 of of IN 39713 596 11 the the DT 39713 596 12 mathematical mathematical JJ 39713 596 13 continuum continuum NN 39713 596 14 is be VBZ 39713 596 15 not not RB 39713 596 16 simply simply RB 39713 596 17 drawn draw VBN 39713 596 18 from from IN 39713 596 19 experience experience NN 39713 596 20 . . . 39713 597 1 If if IN 39713 597 2 it -PRON- PRP 39713 597 3 were be VBD 39713 597 4 , , , 39713 597 5 the the DT 39713 597 6 raw raw JJ 39713 597 7 data datum NNS 39713 597 8 of of IN 39713 597 9 experience experience NN 39713 597 10 , , , 39713 597 11 which which WDT 39713 597 12 are be VBP 39713 597 13 our -PRON- PRP$ 39713 597 14 sensations sensation NNS 39713 597 15 , , , 39713 597 16 would would MD 39713 597 17 be be VB 39713 597 18 susceptible susceptible JJ 39713 597 19 of of IN 39713 597 20 measurement measurement NN 39713 597 21 . . . 39713 598 1 We -PRON- PRP 39713 598 2 might may MD 39713 598 3 be be VB 39713 598 4 tempted tempt VBN 39713 598 5 to to TO 39713 598 6 believe believe VB 39713 598 7 they -PRON- PRP 39713 598 8 really really RB 39713 598 9 are be VBP 39713 598 10 so so RB 39713 598 11 , , , 39713 598 12 since since IN 39713 598 13 in in IN 39713 598 14 these these DT 39713 598 15 latter latter JJ 39713 598 16 days day NNS 39713 598 17 the the DT 39713 598 18 attempt attempt NN 39713 598 19 has have VBZ 39713 598 20 been be VBN 39713 598 21 made make VBN 39713 598 22 to to TO 39713 598 23 measure measure VB 39713 598 24 them -PRON- PRP 39713 598 25 and and CC 39713 598 26 a a DT 39713 598 27 law law NN 39713 598 28 has have VBZ 39713 598 29 even even RB 39713 598 30 been be VBN 39713 598 31 formulated formulate VBN 39713 598 32 , , , 39713 598 33 known know VBN 39713 598 34 as as IN 39713 598 35 Fechner Fechner NNP 39713 598 36 's 's POS 39713 598 37 law law NN 39713 598 38 , , , 39713 598 39 according accord VBG 39713 598 40 to to IN 39713 598 41 which which WDT 39713 598 42 sensation sensation NN 39713 598 43 is be VBZ 39713 598 44 proportional proportional JJ 39713 598 45 to to IN 39713 598 46 the the DT 39713 598 47 logarithm logarithm NNP 39713 598 48 of of IN 39713 598 49 the the DT 39713 598 50 stimulus stimulus NN 39713 598 51 . . . 39713 599 1 But but CC 39713 599 2 if if IN 39713 599 3 we -PRON- PRP 39713 599 4 examine examine VBP 39713 599 5 more more RBR 39713 599 6 closely closely RB 39713 599 7 the the DT 39713 599 8 experiments experiment NNS 39713 599 9 by by IN 39713 599 10 which which WDT 39713 599 11 it -PRON- PRP 39713 599 12 has have VBZ 39713 599 13 been be VBN 39713 599 14 sought seek VBN 39713 599 15 to to TO 39713 599 16 establish establish VB 39713 599 17 this this DT 39713 599 18 law law NN 39713 599 19 , , , 39713 599 20 we -PRON- PRP 39713 599 21 shall shall MD 39713 599 22 be be VB 39713 599 23 led lead VBN 39713 599 24 to to IN 39713 599 25 a a DT 39713 599 26 diametrically diametrically RB 39713 599 27 opposite opposite JJ 39713 599 28 conclusion conclusion NN 39713 599 29 . . . 39713 600 1 It -PRON- PRP 39713 600 2 has have VBZ 39713 600 3 been be VBN 39713 600 4 observed observe VBN 39713 600 5 , , , 39713 600 6 for for IN 39713 600 7 example example NN 39713 600 8 , , , 39713 600 9 that that IN 39713 600 10 a a DT 39713 600 11 weight weight NN 39713 600 12 _ _ NNP 39713 600 13 A A NNP 39713 600 14 _ _ NNP 39713 600 15 of of IN 39713 600 16 10 10 CD 39713 600 17 grams gram NNS 39713 600 18 and and CC 39713 600 19 a a DT 39713 600 20 weight weight NN 39713 600 21 _ _ NNP 39713 600 22 B B NNP 39713 600 23 _ _ NNP 39713 600 24 of of IN 39713 600 25 11 11 CD 39713 600 26 grams gram NNS 39713 600 27 produce produce VBP 39713 600 28 identical identical JJ 39713 600 29 sensations sensation NNS 39713 600 30 , , , 39713 600 31 that that IN 39713 600 32 the the DT 39713 600 33 weight weight NN 39713 600 34 _ _ NNP 39713 600 35 B B NNP 39713 600 36 _ _ NNP 39713 600 37 is be VBZ 39713 600 38 just just RB 39713 600 39 as as RB 39713 600 40 indistinguishable indistinguishable JJ 39713 600 41 from from IN 39713 600 42 a a DT 39713 600 43 weight weight NN 39713 600 44 _ _ NNP 39713 600 45 C C NNP 39713 600 46 _ _ NNP 39713 600 47 of of IN 39713 600 48 12 12 CD 39713 600 49 grams gram NNS 39713 600 50 , , , 39713 600 51 but but CC 39713 600 52 that that IN 39713 600 53 the the DT 39713 600 54 weight weight NN 39713 600 55 _ _ NNP 39713 600 56 A A NNP 39713 600 57 _ _ NNP 39713 600 58 is be VBZ 39713 600 59 easily easily RB 39713 600 60 distinguished distinguish VBN 39713 600 61 from from IN 39713 600 62 the the DT 39713 600 63 weight weight NN 39713 600 64 _ _ NNP 39713 600 65 C C NNP 39713 600 66 _ _ NNP 39713 600 67 . . . 39713 601 1 Thus thus RB 39713 601 2 the the DT 39713 601 3 raw raw JJ 39713 601 4 results result NNS 39713 601 5 of of IN 39713 601 6 experience experience NN 39713 601 7 may may MD 39713 601 8 be be VB 39713 601 9 expressed express VBN 39713 601 10 by by IN 39713 601 11 the the DT 39713 601 12 following following JJ 39713 601 13 relations relation NNS 39713 601 14 : : : 39713 601 15 _ _ NNP 39713 601 16 A A NNP 39713 601 17 _ _ NNP 39713 601 18 = = SYM 39713 601 19 _ _ NNP 39713 601 20 B B NNP 39713 601 21 _ _ NNP 39713 601 22 , , , 39713 601 23 _ _ NNP 39713 601 24 B B NNP 39713 601 25 _ _ NNP 39713 601 26 = = SYM 39713 601 27 _ _ NNP 39713 601 28 C C NNP 39713 601 29 _ _ NNP 39713 601 30 , , , 39713 601 31 _ _ NNP 39713 601 32 A A NNP 39713 601 33 _ _ NNP 39713 601 34 < < XX 39713 601 35 _ _ NNP 39713 601 36 C C NNP 39713 601 37 _ _ NNP 39713 601 38 , , , 39713 601 39 which which WDT 39713 601 40 may may MD 39713 601 41 be be VB 39713 601 42 regarded regard VBN 39713 601 43 as as IN 39713 601 44 the the DT 39713 601 45 formula formula NN 39713 601 46 of of IN 39713 601 47 the the DT 39713 601 48 physical physical JJ 39713 601 49 continuum continuum NN 39713 601 50 . . . 39713 602 1 But but CC 39713 602 2 here here RB 39713 602 3 is be VBZ 39713 602 4 an an DT 39713 602 5 intolerable intolerable JJ 39713 602 6 discord discord NN 39713 602 7 with with IN 39713 602 8 the the DT 39713 602 9 principle principle NN 39713 602 10 of of IN 39713 602 11 contradiction contradiction NN 39713 602 12 , , , 39713 602 13 and and CC 39713 602 14 the the DT 39713 602 15 need need NN 39713 602 16 of of IN 39713 602 17 stopping stop VBG 39713 602 18 this this DT 39713 602 19 has have VBZ 39713 602 20 compelled compel VBN 39713 602 21 us -PRON- PRP 39713 602 22 to to TO 39713 602 23 invent invent VB 39713 602 24 the the DT 39713 602 25 mathematical mathematical JJ 39713 602 26 continuum continuum NN 39713 602 27 . . . 39713 603 1 We -PRON- PRP 39713 603 2 are be VBP 39713 603 3 , , , 39713 603 4 therefore therefore RB 39713 603 5 , , , 39713 603 6 forced force VBN 39713 603 7 to to TO 39713 603 8 conclude conclude VB 39713 603 9 that that IN 39713 603 10 this this DT 39713 603 11 notion notion NN 39713 603 12 has have VBZ 39713 603 13 been be VBN 39713 603 14 created create VBN 39713 603 15 entirely entirely RB 39713 603 16 by by IN 39713 603 17 the the DT 39713 603 18 mind mind NN 39713 603 19 , , , 39713 603 20 but but CC 39713 603 21 that that DT 39713 603 22 experience experience NN 39713 603 23 has have VBZ 39713 603 24 given give VBN 39713 603 25 the the DT 39713 603 26 occasion occasion NN 39713 603 27 . . . 39713 604 1 We -PRON- PRP 39713 604 2 can can MD 39713 604 3 not not RB 39713 604 4 believe believe VB 39713 604 5 that that IN 39713 604 6 two two CD 39713 604 7 quantities quantity NNS 39713 604 8 equal equal JJ 39713 604 9 to to IN 39713 604 10 a a DT 39713 604 11 third third JJ 39713 604 12 are be VBP 39713 604 13 not not RB 39713 604 14 equal equal JJ 39713 604 15 to to IN 39713 604 16 one one CD 39713 604 17 another another DT 39713 604 18 , , , 39713 604 19 and and CC 39713 604 20 so so RB 39713 604 21 we -PRON- PRP 39713 604 22 are be VBP 39713 604 23 led lead VBN 39713 604 24 to to TO 39713 604 25 suppose suppose VB 39713 604 26 that that IN 39713 604 27 _ _ NNP 39713 604 28 A A NNP 39713 604 29 _ _ NNP 39713 604 30 is be VBZ 39713 604 31 different different JJ 39713 604 32 from from IN 39713 604 33 _ _ NNP 39713 604 34 B B NNP 39713 604 35 _ _ NNP 39713 604 36 and and CC 39713 604 37 _ _ NNP 39713 604 38 B B NNP 39713 604 39 _ _ NNP 39713 604 40 from from IN 39713 604 41 _ _ NNP 39713 604 42 C C NNP 39713 604 43 _ _ NNP 39713 604 44 , , , 39713 604 45 but but CC 39713 604 46 that that IN 39713 604 47 the the DT 39713 604 48 imperfection imperfection NN 39713 604 49 of of IN 39713 604 50 our -PRON- PRP$ 39713 604 51 senses sense NNS 39713 604 52 has have VBZ 39713 604 53 not not RB 39713 604 54 permitted permit VBN 39713 604 55 of of IN 39713 604 56 our -PRON- PRP$ 39713 604 57 distinguishing distinguish VBG 39713 604 58 them -PRON- PRP 39713 604 59 . . . 39713 605 1 CREATION creation NN 39713 605 2 OF of IN 39713 605 3 THE the DT 39713 605 4 MATHEMATICAL MATHEMATICAL NNP 39713 605 5 CONTINUUM.--_First CONTINUUM.--_First NNP 39713 605 6 Stage Stage NNP 39713 605 7 . . . 39713 605 8 _ _ NNP 39713 605 9 So so RB 39713 605 10 far far RB 39713 605 11 it -PRON- PRP 39713 605 12 would would MD 39713 605 13 suffice suffice VB 39713 605 14 , , , 39713 605 15 in in IN 39713 605 16 accounting accounting NN 39713 605 17 for for IN 39713 605 18 the the DT 39713 605 19 facts fact NNS 39713 605 20 , , , 39713 605 21 to to TO 39713 605 22 intercalate intercalate VB 39713 605 23 between between IN 39713 605 24 _ _ NNP 39713 605 25 A A NNP 39713 605 26 _ _ NNP 39713 605 27 and and CC 39713 605 28 _ _ NNP 39713 605 29 B B NNP 39713 605 30 _ _ NNP 39713 605 31 a a DT 39713 605 32 few few JJ 39713 605 33 terms term NNS 39713 605 34 , , , 39713 605 35 which which WDT 39713 605 36 would would MD 39713 605 37 remain remain VB 39713 605 38 discrete discrete JJ 39713 605 39 . . . 39713 606 1 What what WP 39713 606 2 happens happen VBZ 39713 606 3 now now RB 39713 606 4 if if IN 39713 606 5 we -PRON- PRP 39713 606 6 have have VBP 39713 606 7 recourse recourse VBN 39713 606 8 to to IN 39713 606 9 some some DT 39713 606 10 instrument instrument NN 39713 606 11 to to TO 39713 606 12 supplement supplement VB 39713 606 13 the the DT 39713 606 14 feebleness feebleness NN 39713 606 15 of of IN 39713 606 16 our -PRON- PRP$ 39713 606 17 senses sense NNS 39713 606 18 , , , 39713 606 19 if if IN 39713 606 20 , , , 39713 606 21 for for IN 39713 606 22 example example NN 39713 606 23 , , , 39713 606 24 we -PRON- PRP 39713 606 25 make make VBP 39713 606 26 use use NN 39713 606 27 of of IN 39713 606 28 a a DT 39713 606 29 microscope microscope NN 39713 606 30 ? ? . 39713 607 1 Terms term NNS 39713 607 2 such such JJ 39713 607 3 as as IN 39713 607 4 _ _ NNP 39713 607 5 A A NNP 39713 607 6 _ _ NNP 39713 607 7 and and CC 39713 607 8 _ _ NNP 39713 607 9 B B NNP 39713 607 10 _ _ NNP 39713 607 11 , , , 39713 607 12 before before IN 39713 607 13 indistinguishable indistinguishable JJ 39713 607 14 , , , 39713 607 15 appear appear VBP 39713 607 16 now now RB 39713 607 17 distinct distinct JJ 39713 607 18 ; ; : 39713 607 19 but but CC 39713 607 20 between between IN 39713 607 21 _ _ NNP 39713 607 22 A A NNP 39713 607 23 _ _ NNP 39713 607 24 and and CC 39713 607 25 _ _ NNP 39713 607 26 B B NNP 39713 607 27 _ _ NNP 39713 607 28 , , , 39713 607 29 now now RB 39713 607 30 become become VB 39713 607 31 distinct distinct JJ 39713 607 32 , , , 39713 607 33 will will MD 39713 607 34 be be VB 39713 607 35 intercalated intercalate VBN 39713 607 36 a a DT 39713 607 37 new new JJ 39713 607 38 term term NN 39713 607 39 , , , 39713 607 40 _ _ NNP 39713 607 41 D D NNP 39713 607 42 _ _ NNP 39713 607 43 , , , 39713 607 44 that that IN 39713 607 45 we -PRON- PRP 39713 607 46 can can MD 39713 607 47 distinguish distinguish VB 39713 607 48 neither neither CC 39713 607 49 from from IN 39713 607 50 _ _ NNP 39713 607 51 A A NNP 39713 607 52 _ _ NNP 39713 607 53 nor nor CC 39713 607 54 from from IN 39713 607 55 _ _ NNP 39713 607 56 B B NNP 39713 607 57 _ _ NNP 39713 607 58 . . . 39713 608 1 Despite despite IN 39713 608 2 the the DT 39713 608 3 employment employment NN 39713 608 4 of of IN 39713 608 5 the the DT 39713 608 6 most most RBS 39713 608 7 highly highly RB 39713 608 8 perfected perfect VBN 39713 608 9 methods method NNS 39713 608 10 , , , 39713 608 11 the the DT 39713 608 12 raw raw JJ 39713 608 13 results result NNS 39713 608 14 of of IN 39713 608 15 our -PRON- PRP$ 39713 608 16 experience experience NN 39713 608 17 will will MD 39713 608 18 always always RB 39713 608 19 present present VB 39713 608 20 the the DT 39713 608 21 characteristics characteristic NNS 39713 608 22 of of IN 39713 608 23 the the DT 39713 608 24 physical physical JJ 39713 608 25 continuum continuum NN 39713 608 26 with with IN 39713 608 27 the the DT 39713 608 28 contradiction contradiction NN 39713 608 29 which which WDT 39713 608 30 is be VBZ 39713 608 31 inherent inherent JJ 39713 608 32 in in IN 39713 608 33 it -PRON- PRP 39713 608 34 . . . 39713 609 1 We -PRON- PRP 39713 609 2 shall shall MD 39713 609 3 escape escape VB 39713 609 4 it -PRON- PRP 39713 609 5 only only RB 39713 609 6 by by IN 39713 609 7 incessantly incessantly RB 39713 609 8 intercalating intercalate VBG 39713 609 9 new new JJ 39713 609 10 terms term NNS 39713 609 11 between between IN 39713 609 12 the the DT 39713 609 13 terms term NNS 39713 609 14 already already RB 39713 609 15 distinguished distinguish VBD 39713 609 16 , , , 39713 609 17 and and CC 39713 609 18 this this DT 39713 609 19 operation operation NN 39713 609 20 must must MD 39713 609 21 be be VB 39713 609 22 continued continue VBN 39713 609 23 indefinitely indefinitely RB 39713 609 24 . . . 39713 610 1 We -PRON- PRP 39713 610 2 might may MD 39713 610 3 conceive conceive VB 39713 610 4 the the DT 39713 610 5 stopping stopping NN 39713 610 6 of of IN 39713 610 7 this this DT 39713 610 8 operation operation NN 39713 610 9 if if IN 39713 610 10 we -PRON- PRP 39713 610 11 could could MD 39713 610 12 imagine imagine VB 39713 610 13 some some DT 39713 610 14 instrument instrument NN 39713 610 15 sufficiently sufficiently RB 39713 610 16 powerful powerful JJ 39713 610 17 to to TO 39713 610 18 decompose decompose VB 39713 610 19 the the DT 39713 610 20 physical physical JJ 39713 610 21 continuum continuum NN 39713 610 22 into into IN 39713 610 23 discrete discrete JJ 39713 610 24 elements element NNS 39713 610 25 , , , 39713 610 26 as as IN 39713 610 27 the the DT 39713 610 28 telescope telescope NN 39713 610 29 resolves resolve VBZ 39713 610 30 the the DT 39713 610 31 milky milky JJ 39713 610 32 way way NN 39713 610 33 into into IN 39713 610 34 stars star NNS 39713 610 35 . . . 39713 611 1 But but CC 39713 611 2 this this DT 39713 611 3 we -PRON- PRP 39713 611 4 can can MD 39713 611 5 not not RB 39713 611 6 imagine imagine VB 39713 611 7 ; ; : 39713 611 8 in in IN 39713 611 9 fact fact NN 39713 611 10 , , , 39713 611 11 it -PRON- PRP 39713 611 12 is be VBZ 39713 611 13 with with IN 39713 611 14 the the DT 39713 611 15 eye eye NN 39713 611 16 we -PRON- PRP 39713 611 17 observe observe VBP 39713 611 18 the the DT 39713 611 19 image image NN 39713 611 20 magnified magnify VBN 39713 611 21 by by IN 39713 611 22 the the DT 39713 611 23 microscope microscope NN 39713 611 24 , , , 39713 611 25 and and CC 39713 611 26 consequently consequently RB 39713 611 27 this this DT 39713 611 28 image image NN 39713 611 29 must must MD 39713 611 30 always always RB 39713 611 31 retain retain VB 39713 611 32 the the DT 39713 611 33 characteristics characteristic NNS 39713 611 34 of of IN 39713 611 35 visual visual JJ 39713 611 36 sensation sensation NN 39713 611 37 and and CC 39713 611 38 consequently consequently RB 39713 611 39 those those DT 39713 611 40 of of IN 39713 611 41 the the DT 39713 611 42 physical physical JJ 39713 611 43 continuum continuum NN 39713 611 44 . . . 39713 612 1 Nothing nothing NN 39713 612 2 distinguishes distinguish VBZ 39713 612 3 a a DT 39713 612 4 length length NN 39713 612 5 observed observe VBN 39713 612 6 directly directly RB 39713 612 7 from from IN 39713 612 8 the the DT 39713 612 9 half half NN 39713 612 10 of of IN 39713 612 11 this this DT 39713 612 12 length length NN 39713 612 13 doubled double VBN 39713 612 14 by by IN 39713 612 15 the the DT 39713 612 16 microscope microscope NN 39713 612 17 . . . 39713 613 1 The the DT 39713 613 2 whole whole NN 39713 613 3 is be VBZ 39713 613 4 homogeneous homogeneous JJ 39713 613 5 with with IN 39713 613 6 the the DT 39713 613 7 part part NN 39713 613 8 ; ; : 39713 613 9 this this DT 39713 613 10 is be VBZ 39713 613 11 a a DT 39713 613 12 new new JJ 39713 613 13 contradiction contradiction NN 39713 613 14 , , , 39713 613 15 or or CC 39713 613 16 rather rather RB 39713 613 17 it -PRON- PRP 39713 613 18 would would MD 39713 613 19 be be VB 39713 613 20 if if IN 39713 613 21 the the DT 39713 613 22 number number NN 39713 613 23 of of IN 39713 613 24 terms term NNS 39713 613 25 were be VBD 39713 613 26 supposed suppose VBN 39713 613 27 finite finite JJ 39713 613 28 ; ; : 39713 613 29 in in IN 39713 613 30 fact fact NN 39713 613 31 , , , 39713 613 32 it -PRON- PRP 39713 613 33 is be VBZ 39713 613 34 clear clear JJ 39713 613 35 that that IN 39713 613 36 the the DT 39713 613 37 part part NN 39713 613 38 containing contain VBG 39713 613 39 fewer few JJR 39713 613 40 terms term NNS 39713 613 41 than than IN 39713 613 42 the the DT 39713 613 43 whole whole NN 39713 613 44 could could MD 39713 613 45 not not RB 39713 613 46 be be VB 39713 613 47 similar similar JJ 39713 613 48 to to IN 39713 613 49 the the DT 39713 613 50 whole whole NN 39713 613 51 . . . 39713 614 1 The the DT 39713 614 2 contradiction contradiction NN 39713 614 3 ceases cease VBZ 39713 614 4 when when WRB 39713 614 5 the the DT 39713 614 6 number number NN 39713 614 7 of of IN 39713 614 8 terms term NNS 39713 614 9 is be VBZ 39713 614 10 regarded regard VBN 39713 614 11 as as IN 39713 614 12 infinite infinite JJ 39713 614 13 ; ; : 39713 614 14 nothing nothing NN 39713 614 15 hinders hinder NNS 39713 614 16 , , , 39713 614 17 for for IN 39713 614 18 example example NN 39713 614 19 , , , 39713 614 20 considering consider VBG 39713 614 21 the the DT 39713 614 22 aggregate aggregate NN 39713 614 23 of of IN 39713 614 24 whole whole JJ 39713 614 25 numbers number NNS 39713 614 26 as as IN 39713 614 27 similar similar JJ 39713 614 28 to to IN 39713 614 29 the the DT 39713 614 30 aggregate aggregate NN 39713 614 31 of of IN 39713 614 32 even even JJ 39713 614 33 numbers number NNS 39713 614 34 , , , 39713 614 35 which which WDT 39713 614 36 , , , 39713 614 37 however however RB 39713 614 38 , , , 39713 614 39 is be VBZ 39713 614 40 only only RB 39713 614 41 a a DT 39713 614 42 part part NN 39713 614 43 of of IN 39713 614 44 it -PRON- PRP 39713 614 45 ; ; : 39713 614 46 and and CC 39713 614 47 , , , 39713 614 48 in in IN 39713 614 49 fact fact NN 39713 614 50 , , , 39713 614 51 to to IN 39713 614 52 each each DT 39713 614 53 whole whole JJ 39713 614 54 number number NN 39713 614 55 corresponds correspond VBZ 39713 614 56 an an DT 39713 614 57 even even JJ 39713 614 58 number number NN 39713 614 59 , , , 39713 614 60 its -PRON- PRP$ 39713 614 61 double double JJ 39713 614 62 . . . 39713 615 1 But but CC 39713 615 2 it -PRON- PRP 39713 615 3 is be VBZ 39713 615 4 not not RB 39713 615 5 only only JJ 39713 615 6 to to TO 39713 615 7 escape escape VB 39713 615 8 this this DT 39713 615 9 contradiction contradiction NN 39713 615 10 contained contain VBN 39713 615 11 in in IN 39713 615 12 the the DT 39713 615 13 empirical empirical JJ 39713 615 14 data datum NNS 39713 615 15 that that WDT 39713 615 16 the the DT 39713 615 17 mind mind NN 39713 615 18 is be VBZ 39713 615 19 led lead VBN 39713 615 20 to to TO 39713 615 21 create create VB 39713 615 22 the the DT 39713 615 23 concept concept NN 39713 615 24 of of IN 39713 615 25 a a DT 39713 615 26 continuum continuum NN 39713 615 27 , , , 39713 615 28 formed form VBN 39713 615 29 of of IN 39713 615 30 an an DT 39713 615 31 indefinite indefinite JJ 39713 615 32 number number NN 39713 615 33 of of IN 39713 615 34 terms term NNS 39713 615 35 . . . 39713 616 1 All all DT 39713 616 2 happens happen VBZ 39713 616 3 as as IN 39713 616 4 in in IN 39713 616 5 the the DT 39713 616 6 sequence sequence NN 39713 616 7 of of IN 39713 616 8 whole whole JJ 39713 616 9 numbers number NNS 39713 616 10 . . . 39713 617 1 We -PRON- PRP 39713 617 2 have have VBP 39713 617 3 the the DT 39713 617 4 faculty faculty NN 39713 617 5 of of IN 39713 617 6 conceiving conceive VBG 39713 617 7 that that IN 39713 617 8 a a DT 39713 617 9 unit unit NN 39713 617 10 can can MD 39713 617 11 be be VB 39713 617 12 added add VBN 39713 617 13 to to IN 39713 617 14 a a DT 39713 617 15 collection collection NN 39713 617 16 of of IN 39713 617 17 units unit NNS 39713 617 18 ; ; : 39713 617 19 thanks thank NNS 39713 617 20 to to TO 39713 617 21 experience experience VB 39713 617 22 , , , 39713 617 23 we -PRON- PRP 39713 617 24 have have VBP 39713 617 25 occasion occasion NN 39713 617 26 to to TO 39713 617 27 exercise exercise VB 39713 617 28 this this DT 39713 617 29 faculty faculty NN 39713 617 30 and and CC 39713 617 31 we -PRON- PRP 39713 617 32 become become VBP 39713 617 33 conscious conscious JJ 39713 617 34 of of IN 39713 617 35 it -PRON- PRP 39713 617 36 ; ; : 39713 617 37 but but CC 39713 617 38 from from IN 39713 617 39 this this DT 39713 617 40 moment moment NN 39713 617 41 we -PRON- PRP 39713 617 42 feel feel VBP 39713 617 43 that that IN 39713 617 44 our -PRON- PRP$ 39713 617 45 power power NN 39713 617 46 has have VBZ 39713 617 47 no no DT 39713 617 48 limit limit NN 39713 617 49 and and CC 39713 617 50 that that IN 39713 617 51 we -PRON- PRP 39713 617 52 can can MD 39713 617 53 count count VB 39713 617 54 indefinitely indefinitely RB 39713 617 55 , , , 39713 617 56 though though IN 39713 617 57 we -PRON- PRP 39713 617 58 have have VBP 39713 617 59 never never RB 39713 617 60 had have VBN 39713 617 61 to to TO 39713 617 62 count count VB 39713 617 63 more more JJR 39713 617 64 than than IN 39713 617 65 a a DT 39713 617 66 finite finite JJ 39713 617 67 number number NN 39713 617 68 of of IN 39713 617 69 objects object NNS 39713 617 70 . . . 39713 618 1 Just just RB 39713 618 2 so so RB 39713 618 3 , , , 39713 618 4 as as RB 39713 618 5 soon soon RB 39713 618 6 as as IN 39713 618 7 we -PRON- PRP 39713 618 8 have have VBP 39713 618 9 been be VBN 39713 618 10 led lead VBN 39713 618 11 to to IN 39713 618 12 intercalate intercalate NN 39713 618 13 means mean NNS 39713 618 14 between between IN 39713 618 15 two two CD 39713 618 16 consecutive consecutive JJ 39713 618 17 terms term NNS 39713 618 18 of of IN 39713 618 19 a a DT 39713 618 20 series series NN 39713 618 21 , , , 39713 618 22 we -PRON- PRP 39713 618 23 feel feel VBP 39713 618 24 that that IN 39713 618 25 this this DT 39713 618 26 operation operation NN 39713 618 27 can can MD 39713 618 28 be be VB 39713 618 29 continued continue VBN 39713 618 30 beyond beyond IN 39713 618 31 all all DT 39713 618 32 limit limit NN 39713 618 33 , , , 39713 618 34 and and CC 39713 618 35 that that IN 39713 618 36 there there EX 39713 618 37 is be VBZ 39713 618 38 , , , 39713 618 39 so so RB 39713 618 40 to to TO 39713 618 41 speak speak VB 39713 618 42 , , , 39713 618 43 no no DT 39713 618 44 intrinsic intrinsic JJ 39713 618 45 reason reason NN 39713 618 46 for for IN 39713 618 47 stopping stop VBG 39713 618 48 . . . 39713 619 1 As as IN 39713 619 2 an an DT 39713 619 3 abbreviation abbreviation NN 39713 619 4 , , , 39713 619 5 let let VB 39713 619 6 me -PRON- PRP 39713 619 7 call call VB 39713 619 8 a a DT 39713 619 9 mathematical mathematical JJ 39713 619 10 continuum continuum NN 39713 619 11 of of IN 39713 619 12 the the DT 39713 619 13 first first JJ 39713 619 14 order order NN 39713 619 15 every every DT 39713 619 16 aggregate aggregate NN 39713 619 17 of of IN 39713 619 18 terms term NNS 39713 619 19 formed form VBN 39713 619 20 according accord VBG 39713 619 21 to to IN 39713 619 22 the the DT 39713 619 23 same same JJ 39713 619 24 law law NN 39713 619 25 as as IN 39713 619 26 the the DT 39713 619 27 scale scale NN 39713 619 28 of of IN 39713 619 29 commensurable commensurable JJ 39713 619 30 numbers number NNS 39713 619 31 . . . 39713 620 1 If if IN 39713 620 2 we -PRON- PRP 39713 620 3 afterwards afterwards RB 39713 620 4 intercalate intercalate VBP 39713 620 5 new new JJ 39713 620 6 steps step NNS 39713 620 7 according accord VBG 39713 620 8 to to IN 39713 620 9 the the DT 39713 620 10 law law NN 39713 620 11 of of IN 39713 620 12 formation formation NN 39713 620 13 of of IN 39713 620 14 incommensurable incommensurable JJ 39713 620 15 numbers number NNS 39713 620 16 , , , 39713 620 17 we -PRON- PRP 39713 620 18 shall shall MD 39713 620 19 obtain obtain VB 39713 620 20 what what WP 39713 620 21 we -PRON- PRP 39713 620 22 will will MD 39713 620 23 call call VB 39713 620 24 a a DT 39713 620 25 continuum continuum NN 39713 620 26 of of IN 39713 620 27 the the DT 39713 620 28 second second JJ 39713 620 29 order order NN 39713 620 30 . . . 39713 621 1 _ _ NNP 39713 621 2 Second second JJ 39713 621 3 Stage._--We stage._--we NN 39713 621 4 have have VBP 39713 621 5 made make VBN 39713 621 6 hitherto hitherto JJ 39713 621 7 only only RB 39713 621 8 the the DT 39713 621 9 first first JJ 39713 621 10 stride stride NN 39713 621 11 ; ; : 39713 621 12 we -PRON- PRP 39713 621 13 have have VBP 39713 621 14 explained explain VBN 39713 621 15 the the DT 39713 621 16 origin origin NN 39713 621 17 of of IN 39713 621 18 continua continua NN 39713 621 19 of of IN 39713 621 20 the the DT 39713 621 21 first first JJ 39713 621 22 order order NN 39713 621 23 ; ; : 39713 621 24 but but CC 39713 621 25 it -PRON- PRP 39713 621 26 is be VBZ 39713 621 27 necessary necessary JJ 39713 621 28 to to TO 39713 621 29 see see VB 39713 621 30 why why WRB 39713 621 31 even even RB 39713 621 32 they -PRON- PRP 39713 621 33 are be VBP 39713 621 34 not not RB 39713 621 35 sufficient sufficient JJ 39713 621 36 and and CC 39713 621 37 why why WRB 39713 621 38 the the DT 39713 621 39 incommensurable incommensurable JJ 39713 621 40 numbers number NNS 39713 621 41 had have VBD 39713 621 42 to to TO 39713 621 43 be be VB 39713 621 44 invented invent VBN 39713 621 45 . . . 39713 622 1 If if IN 39713 622 2 we -PRON- PRP 39713 622 3 try try VBP 39713 622 4 to to TO 39713 622 5 imagine imagine VB 39713 622 6 a a DT 39713 622 7 line line NN 39713 622 8 , , , 39713 622 9 it -PRON- PRP 39713 622 10 must must MD 39713 622 11 have have VB 39713 622 12 the the DT 39713 622 13 characteristics characteristic NNS 39713 622 14 of of IN 39713 622 15 the the DT 39713 622 16 physical physical JJ 39713 622 17 continuum continuum NN 39713 622 18 , , , 39713 622 19 that that DT 39713 622 20 is be VBZ 39713 622 21 to to TO 39713 622 22 say say VB 39713 622 23 , , , 39713 622 24 we -PRON- PRP 39713 622 25 shall shall MD 39713 622 26 not not RB 39713 622 27 be be VB 39713 622 28 able able JJ 39713 622 29 to to TO 39713 622 30 represent represent VB 39713 622 31 it -PRON- PRP 39713 622 32 except except IN 39713 622 33 with with IN 39713 622 34 a a DT 39713 622 35 certain certain JJ 39713 622 36 breadth breadth NN 39713 622 37 . . . 39713 623 1 Two two CD 39713 623 2 lines line NNS 39713 623 3 then then RB 39713 623 4 will will MD 39713 623 5 appear appear VB 39713 623 6 to to IN 39713 623 7 us -PRON- PRP 39713 623 8 under under IN 39713 623 9 the the DT 39713 623 10 form form NN 39713 623 11 of of IN 39713 623 12 two two CD 39713 623 13 narrow narrow JJ 39713 623 14 bands band NNS 39713 623 15 , , , 39713 623 16 and and CC 39713 623 17 , , , 39713 623 18 if if IN 39713 623 19 we -PRON- PRP 39713 623 20 are be VBP 39713 623 21 content content JJ 39713 623 22 with with IN 39713 623 23 this this DT 39713 623 24 rough rough JJ 39713 623 25 image image NN 39713 623 26 , , , 39713 623 27 it -PRON- PRP 39713 623 28 is be VBZ 39713 623 29 evident evident JJ 39713 623 30 that that IN 39713 623 31 if if IN 39713 623 32 the the DT 39713 623 33 two two CD 39713 623 34 lines line NNS 39713 623 35 cross cross VBP 39713 623 36 they -PRON- PRP 39713 623 37 will will MD 39713 623 38 have have VB 39713 623 39 a a DT 39713 623 40 common common JJ 39713 623 41 part part NN 39713 623 42 . . . 39713 624 1 But but CC 39713 624 2 the the DT 39713 624 3 pure pure JJ 39713 624 4 geometer geometer NN 39713 624 5 makes make VBZ 39713 624 6 a a DT 39713 624 7 further further JJ 39713 624 8 effort effort NN 39713 624 9 ; ; : 39713 624 10 without without IN 39713 624 11 entirely entirely RB 39713 624 12 renouncing renounce VBG 39713 624 13 the the DT 39713 624 14 aid aid NN 39713 624 15 of of IN 39713 624 16 the the DT 39713 624 17 senses sense NNS 39713 624 18 , , , 39713 624 19 he -PRON- PRP 39713 624 20 tries try VBZ 39713 624 21 to to TO 39713 624 22 reach reach VB 39713 624 23 the the DT 39713 624 24 concept concept NN 39713 624 25 of of IN 39713 624 26 the the DT 39713 624 27 line line NN 39713 624 28 without without IN 39713 624 29 breadth breadth NN 39713 624 30 , , , 39713 624 31 of of IN 39713 624 32 the the DT 39713 624 33 point point NN 39713 624 34 without without IN 39713 624 35 extension extension NN 39713 624 36 . . . 39713 625 1 This this DT 39713 625 2 he -PRON- PRP 39713 625 3 can can MD 39713 625 4 only only RB 39713 625 5 attain attain VB 39713 625 6 to to IN 39713 625 7 by by IN 39713 625 8 regarding regard VBG 39713 625 9 the the DT 39713 625 10 line line NN 39713 625 11 as as IN 39713 625 12 the the DT 39713 625 13 limit limit NN 39713 625 14 toward toward IN 39713 625 15 which which WDT 39713 625 16 tends tend VBZ 39713 625 17 an an DT 39713 625 18 ever ever RB 39713 625 19 narrowing narrow VBG 39713 625 20 band band NN 39713 625 21 , , , 39713 625 22 and and CC 39713 625 23 the the DT 39713 625 24 point point NN 39713 625 25 as as IN 39713 625 26 the the DT 39713 625 27 limit limit NN 39713 625 28 toward toward IN 39713 625 29 which which WDT 39713 625 30 tends tend VBZ 39713 625 31 an an DT 39713 625 32 ever ever RB 39713 625 33 lessening lessening NN 39713 625 34 area area NN 39713 625 35 . . . 39713 626 1 And and CC 39713 626 2 then then RB 39713 626 3 , , , 39713 626 4 our -PRON- PRP$ 39713 626 5 two two CD 39713 626 6 bands band NNS 39713 626 7 , , , 39713 626 8 however however RB 39713 626 9 narrow narrow JJ 39713 626 10 they -PRON- PRP 39713 626 11 may may MD 39713 626 12 be be VB 39713 626 13 , , , 39713 626 14 will will MD 39713 626 15 always always RB 39713 626 16 have have VB 39713 626 17 a a DT 39713 626 18 common common JJ 39713 626 19 area area NN 39713 626 20 , , , 39713 626 21 the the DT 39713 626 22 smaller small JJR 39713 626 23 as as IN 39713 626 24 they -PRON- PRP 39713 626 25 are be VBP 39713 626 26 the the DT 39713 626 27 narrower narrow JJR 39713 626 28 , , , 39713 626 29 and and CC 39713 626 30 whose whose WP$ 39713 626 31 limit limit NN 39713 626 32 will will MD 39713 626 33 be be VB 39713 626 34 what what WP 39713 626 35 the the DT 39713 626 36 pure pure JJ 39713 626 37 geometer geometer NN 39713 626 38 calls call VBZ 39713 626 39 a a DT 39713 626 40 point point NN 39713 626 41 . . . 39713 627 1 This this DT 39713 627 2 is be VBZ 39713 627 3 why why WRB 39713 627 4 it -PRON- PRP 39713 627 5 is be VBZ 39713 627 6 said say VBD 39713 627 7 two two CD 39713 627 8 lines line NNS 39713 627 9 which which WDT 39713 627 10 cross cross VBP 39713 627 11 have have VBP 39713 627 12 a a DT 39713 627 13 point point NN 39713 627 14 in in IN 39713 627 15 common common JJ 39713 627 16 , , , 39713 627 17 and and CC 39713 627 18 this this DT 39713 627 19 truth truth NN 39713 627 20 seems seem VBZ 39713 627 21 intuitive intuitive JJ 39713 627 22 . . . 39713 628 1 But but CC 39713 628 2 it -PRON- PRP 39713 628 3 would would MD 39713 628 4 imply imply VB 39713 628 5 contradiction contradiction NN 39713 628 6 if if IN 39713 628 7 lines line NNS 39713 628 8 were be VBD 39713 628 9 conceived conceive VBN 39713 628 10 as as IN 39713 628 11 continua continua NN 39713 628 12 of of IN 39713 628 13 the the DT 39713 628 14 first first JJ 39713 628 15 order order NN 39713 628 16 , , , 39713 628 17 that that DT 39713 628 18 is be VBZ 39713 628 19 to to TO 39713 628 20 say say VB 39713 628 21 , , , 39713 628 22 if if IN 39713 628 23 on on IN 39713 628 24 the the DT 39713 628 25 lines line NNS 39713 628 26 traced trace VBN 39713 628 27 by by IN 39713 628 28 the the DT 39713 628 29 geometer geometer NN 39713 628 30 should should MD 39713 628 31 be be VB 39713 628 32 found find VBN 39713 628 33 only only RB 39713 628 34 points point NNS 39713 628 35 having have VBG 39713 628 36 for for IN 39713 628 37 coordinates coordinate NNS 39713 628 38 rational rational JJ 39713 628 39 numbers number NNS 39713 628 40 . . . 39713 629 1 The the DT 39713 629 2 contradiction contradiction NN 39713 629 3 would would MD 39713 629 4 be be VB 39713 629 5 manifest manifest JJ 39713 629 6 as as RB 39713 629 7 soon soon RB 39713 629 8 as as IN 39713 629 9 one one CD 39713 629 10 affirmed affirm VBD 39713 629 11 , , , 39713 629 12 for for IN 39713 629 13 example example NN 39713 629 14 , , , 39713 629 15 the the DT 39713 629 16 existence existence NN 39713 629 17 of of IN 39713 629 18 straights straight NNS 39713 629 19 and and CC 39713 629 20 circles circle NNS 39713 629 21 . . . 39713 630 1 It -PRON- PRP 39713 630 2 is be VBZ 39713 630 3 clear clear JJ 39713 630 4 , , , 39713 630 5 in in IN 39713 630 6 fact fact NN 39713 630 7 , , , 39713 630 8 that that IN 39713 630 9 if if IN 39713 630 10 the the DT 39713 630 11 points point NNS 39713 630 12 whose whose WP$ 39713 630 13 coordinates coordinate NNS 39713 630 14 are be VBP 39713 630 15 commensurable commensurable JJ 39713 630 16 were be VBD 39713 630 17 alone alone RB 39713 630 18 regarded regard VBN 39713 630 19 as as IN 39713 630 20 real real JJ 39713 630 21 , , , 39713 630 22 the the DT 39713 630 23 circle circle NN 39713 630 24 inscribed inscribe VBN 39713 630 25 in in IN 39713 630 26 a a DT 39713 630 27 square square NN 39713 630 28 and and CC 39713 630 29 the the DT 39713 630 30 diagonal diagonal JJ 39713 630 31 of of IN 39713 630 32 this this DT 39713 630 33 square square NN 39713 630 34 would would MD 39713 630 35 not not RB 39713 630 36 intersect intersect VB 39713 630 37 , , , 39713 630 38 since since IN 39713 630 39 the the DT 39713 630 40 coordinates coordinate NNS 39713 630 41 of of IN 39713 630 42 the the DT 39713 630 43 point point NN 39713 630 44 of of IN 39713 630 45 intersection intersection NN 39713 630 46 are be VBP 39713 630 47 incommensurable incommensurable JJ 39713 630 48 . . . 39713 631 1 That that DT 39713 631 2 would would MD 39713 631 3 not not RB 39713 631 4 yet yet RB 39713 631 5 be be VB 39713 631 6 sufficient sufficient JJ 39713 631 7 , , , 39713 631 8 because because IN 39713 631 9 we -PRON- PRP 39713 631 10 should should MD 39713 631 11 get get VB 39713 631 12 in in IN 39713 631 13 this this DT 39713 631 14 way way NN 39713 631 15 only only RB 39713 631 16 certain certain JJ 39713 631 17 incommensurable incommensurable JJ 39713 631 18 numbers number NNS 39713 631 19 and and CC 39713 631 20 not not RB 39713 631 21 all all PDT 39713 631 22 those those DT 39713 631 23 numbers number NNS 39713 631 24 . . . 39713 632 1 But but CC 39713 632 2 conceive conceive VB 39713 632 3 of of IN 39713 632 4 a a DT 39713 632 5 straight straight JJ 39713 632 6 line line NN 39713 632 7 divided divide VBN 39713 632 8 into into IN 39713 632 9 two two CD 39713 632 10 rays ray NNS 39713 632 11 . . . 39713 633 1 Each each DT 39713 633 2 of of IN 39713 633 3 these these DT 39713 633 4 rays ray NNS 39713 633 5 will will MD 39713 633 6 appear appear VB 39713 633 7 to to IN 39713 633 8 our -PRON- PRP$ 39713 633 9 imagination imagination NN 39713 633 10 as as IN 39713 633 11 a a DT 39713 633 12 band band NN 39713 633 13 of of IN 39713 633 14 a a DT 39713 633 15 certain certain JJ 39713 633 16 breadth breadth NN 39713 633 17 ; ; : 39713 633 18 these these DT 39713 633 19 bands band NNS 39713 633 20 moreover moreover RB 39713 633 21 will will MD 39713 633 22 encroach encroach VB 39713 633 23 one one NN 39713 633 24 on on IN 39713 633 25 the the DT 39713 633 26 other other JJ 39713 633 27 , , , 39713 633 28 since since IN 39713 633 29 there there EX 39713 633 30 must must MD 39713 633 31 be be VB 39713 633 32 no no DT 39713 633 33 interval interval NN 39713 633 34 between between IN 39713 633 35 them -PRON- PRP 39713 633 36 . . . 39713 634 1 The the DT 39713 634 2 common common JJ 39713 634 3 part part NN 39713 634 4 will will MD 39713 634 5 appear appear VB 39713 634 6 to to IN 39713 634 7 us -PRON- PRP 39713 634 8 as as IN 39713 634 9 a a DT 39713 634 10 point point NN 39713 634 11 which which WDT 39713 634 12 will will MD 39713 634 13 always always RB 39713 634 14 remain remain VB 39713 634 15 when when WRB 39713 634 16 we -PRON- PRP 39713 634 17 try try VBP 39713 634 18 to to TO 39713 634 19 imagine imagine VB 39713 634 20 our -PRON- PRP$ 39713 634 21 bands band NNS 39713 634 22 narrower narrower RBR 39713 634 23 and and CC 39713 634 24 narrower narrower RBR 39713 634 25 , , , 39713 634 26 so so IN 39713 634 27 that that IN 39713 634 28 we -PRON- PRP 39713 634 29 admit admit VBP 39713 634 30 as as IN 39713 634 31 an an DT 39713 634 32 intuitive intuitive JJ 39713 634 33 truth truth NN 39713 634 34 that that IN 39713 634 35 if if IN 39713 634 36 a a DT 39713 634 37 straight straight NN 39713 634 38 is be VBZ 39713 634 39 cut cut VBN 39713 634 40 into into IN 39713 634 41 two two CD 39713 634 42 rays ray NNS 39713 634 43 their -PRON- PRP$ 39713 634 44 common common JJ 39713 634 45 frontier frontier NN 39713 634 46 is be VBZ 39713 634 47 a a DT 39713 634 48 point point NN 39713 634 49 ; ; : 39713 634 50 we -PRON- PRP 39713 634 51 recognize recognize VBP 39713 634 52 here here RB 39713 634 53 the the DT 39713 634 54 conception conception NN 39713 634 55 of of IN 39713 634 56 Dedekind Dedekind NNP 39713 634 57 , , , 39713 634 58 in in IN 39713 634 59 which which WDT 39713 634 60 an an DT 39713 634 61 incommensurable incommensurable JJ 39713 634 62 number number NN 39713 634 63 was be VBD 39713 634 64 regarded regard VBN 39713 634 65 as as IN 39713 634 66 the the DT 39713 634 67 common common JJ 39713 634 68 frontier frontier NN 39713 634 69 of of IN 39713 634 70 two two CD 39713 634 71 classes class NNS 39713 634 72 of of IN 39713 634 73 rational rational JJ 39713 634 74 numbers number NNS 39713 634 75 . . . 39713 635 1 Such such JJ 39713 635 2 is be VBZ 39713 635 3 the the DT 39713 635 4 origin origin NN 39713 635 5 of of IN 39713 635 6 the the DT 39713 635 7 continuum continuum NN 39713 635 8 of of IN 39713 635 9 the the DT 39713 635 10 second second JJ 39713 635 11 order order NN 39713 635 12 , , , 39713 635 13 which which WDT 39713 635 14 is be VBZ 39713 635 15 the the DT 39713 635 16 mathematical mathematical JJ 39713 635 17 continuum continuum NN 39713 635 18 properly properly RB 39713 635 19 so so RB 39713 635 20 called call VBN 39713 635 21 . . . 39713 636 1 _ _ NNP 39713 636 2 Résumé._--In Résumé._--In NNP 39713 636 3 recapitulation recapitulation NN 39713 636 4 , , , 39713 636 5 the the DT 39713 636 6 mind mind NN 39713 636 7 has have VBZ 39713 636 8 the the DT 39713 636 9 faculty faculty NN 39713 636 10 of of IN 39713 636 11 creating create VBG 39713 636 12 symbols symbol NNS 39713 636 13 , , , 39713 636 14 and and CC 39713 636 15 it -PRON- PRP 39713 636 16 is be VBZ 39713 636 17 thus thus RB 39713 636 18 that that IN 39713 636 19 it -PRON- PRP 39713 636 20 has have VBZ 39713 636 21 constructed construct VBN 39713 636 22 the the DT 39713 636 23 mathematical mathematical JJ 39713 636 24 continuum continuum NN 39713 636 25 , , , 39713 636 26 which which WDT 39713 636 27 is be VBZ 39713 636 28 only only RB 39713 636 29 a a DT 39713 636 30 particular particular JJ 39713 636 31 system system NN 39713 636 32 of of IN 39713 636 33 symbols symbol NNS 39713 636 34 . . . 39713 637 1 Its -PRON- PRP$ 39713 637 2 power power NN 39713 637 3 is be VBZ 39713 637 4 limited limit VBN 39713 637 5 only only RB 39713 637 6 by by IN 39713 637 7 the the DT 39713 637 8 necessity necessity NN 39713 637 9 of of IN 39713 637 10 avoiding avoid VBG 39713 637 11 all all DT 39713 637 12 contradiction contradiction NN 39713 637 13 ; ; : 39713 637 14 but but CC 39713 637 15 the the DT 39713 637 16 mind mind NN 39713 637 17 only only RB 39713 637 18 makes make VBZ 39713 637 19 use use NN 39713 637 20 of of IN 39713 637 21 this this DT 39713 637 22 faculty faculty NN 39713 637 23 if if IN 39713 637 24 experience experience NN 39713 637 25 furnishes furnish VBZ 39713 637 26 it -PRON- PRP 39713 637 27 a a DT 39713 637 28 stimulus stimulus JJ 39713 637 29 thereto thereto NN 39713 637 30 . . . 39713 638 1 In in IN 39713 638 2 the the DT 39713 638 3 case case NN 39713 638 4 considered consider VBN 39713 638 5 , , , 39713 638 6 this this DT 39713 638 7 stimulus stimulus NN 39713 638 8 was be VBD 39713 638 9 the the DT 39713 638 10 notion notion NN 39713 638 11 of of IN 39713 638 12 the the DT 39713 638 13 physical physical JJ 39713 638 14 continuum continuum NN 39713 638 15 , , , 39713 638 16 drawn draw VBN 39713 638 17 from from IN 39713 638 18 the the DT 39713 638 19 rough rough JJ 39713 638 20 data datum NNS 39713 638 21 of of IN 39713 638 22 the the DT 39713 638 23 senses sense NNS 39713 638 24 . . . 39713 639 1 But but CC 39713 639 2 this this DT 39713 639 3 notion notion NN 39713 639 4 leads lead VBZ 39713 639 5 to to IN 39713 639 6 a a DT 39713 639 7 series series NN 39713 639 8 of of IN 39713 639 9 contradictions contradiction NNS 39713 639 10 from from IN 39713 639 11 which which WDT 39713 639 12 it -PRON- PRP 39713 639 13 is be VBZ 39713 639 14 necessary necessary JJ 39713 639 15 successively successively RB 39713 639 16 to to TO 39713 639 17 free free VB 39713 639 18 ourselves -PRON- PRP 39713 639 19 . . . 39713 640 1 So so RB 39713 640 2 we -PRON- PRP 39713 640 3 are be VBP 39713 640 4 forced force VBN 39713 640 5 to to TO 39713 640 6 imagine imagine VB 39713 640 7 a a DT 39713 640 8 more more RBR 39713 640 9 and and CC 39713 640 10 more more RBR 39713 640 11 complicated complicated JJ 39713 640 12 system system NN 39713 640 13 of of IN 39713 640 14 symbols symbol NNS 39713 640 15 . . . 39713 641 1 That that IN 39713 641 2 at at IN 39713 641 3 which which WDT 39713 641 4 we -PRON- PRP 39713 641 5 stop stop VBP 39713 641 6 is be VBZ 39713 641 7 not not RB 39713 641 8 only only RB 39713 641 9 exempt exempt JJ 39713 641 10 from from IN 39713 641 11 internal internal JJ 39713 641 12 contradiction contradiction NN 39713 641 13 ( ( -LRB- 39713 641 14 it -PRON- PRP 39713 641 15 was be VBD 39713 641 16 so so RB 39713 641 17 already already RB 39713 641 18 at at IN 39713 641 19 all all PDT 39713 641 20 the the DT 39713 641 21 stages stage NNS 39713 641 22 we -PRON- PRP 39713 641 23 have have VBP 39713 641 24 traversed traverse VBN 39713 641 25 ) ) -RRB- 39713 641 26 , , , 39713 641 27 but but CC 39713 641 28 neither neither DT 39713 641 29 is be VBZ 39713 641 30 it -PRON- PRP 39713 641 31 in in IN 39713 641 32 contradiction contradiction NN 39713 641 33 with with IN 39713 641 34 various various JJ 39713 641 35 propositions proposition NNS 39713 641 36 called call VBN 39713 641 37 intuitive intuitive JJ 39713 641 38 , , , 39713 641 39 which which WDT 39713 641 40 are be VBP 39713 641 41 derived derive VBN 39713 641 42 from from IN 39713 641 43 empirical empirical JJ 39713 641 44 notions notion NNS 39713 641 45 more more RBR 39713 641 46 or or CC 39713 641 47 less less RBR 39713 641 48 elaborated elaborate VBN 39713 641 49 . . . 39713 642 1 MEASURABLE MEASURABLE NNP 39713 642 2 MAGNITUDE.--The magnitude.--the JJ 39713 642 3 magnitudes magnitude NNS 39713 642 4 we -PRON- PRP 39713 642 5 have have VBP 39713 642 6 studied study VBN 39713 642 7 hitherto hitherto CC 39713 642 8 are be VBP 39713 642 9 not not RB 39713 642 10 _ _ NNP 39713 642 11 measurable measurable JJ 39713 642 12 _ _ NN 39713 642 13 ; ; : 39713 642 14 we -PRON- PRP 39713 642 15 can can MD 39713 642 16 indeed indeed RB 39713 642 17 say say VB 39713 642 18 whether whether IN 39713 642 19 a a DT 39713 642 20 given give VBN 39713 642 21 one one CD 39713 642 22 of of IN 39713 642 23 these these DT 39713 642 24 magnitudes magnitude NNS 39713 642 25 is be VBZ 39713 642 26 greater great JJR 39713 642 27 than than IN 39713 642 28 another another DT 39713 642 29 , , , 39713 642 30 but but CC 39713 642 31 not not RB 39713 642 32 whether whether IN 39713 642 33 it -PRON- PRP 39713 642 34 is be VBZ 39713 642 35 twice twice RB 39713 642 36 or or CC 39713 642 37 thrice thrice NN 39713 642 38 as as RB 39713 642 39 great great JJ 39713 642 40 . . . 39713 643 1 So so RB 39713 643 2 far far RB 39713 643 3 , , , 39713 643 4 I -PRON- PRP 39713 643 5 have have VBP 39713 643 6 only only RB 39713 643 7 considered consider VBN 39713 643 8 the the DT 39713 643 9 order order NN 39713 643 10 in in IN 39713 643 11 which which WDT 39713 643 12 our -PRON- PRP$ 39713 643 13 terms term NNS 39713 643 14 are be VBP 39713 643 15 ranged ranged JJ 39713 643 16 . . . 39713 644 1 But but CC 39713 644 2 for for IN 39713 644 3 most most JJS 39713 644 4 applications application NNS 39713 644 5 that that WDT 39713 644 6 does do VBZ 39713 644 7 not not RB 39713 644 8 suffice suffice VB 39713 644 9 . . . 39713 645 1 We -PRON- PRP 39713 645 2 must must MD 39713 645 3 learn learn VB 39713 645 4 to to TO 39713 645 5 compare compare VB 39713 645 6 the the DT 39713 645 7 interval interval NN 39713 645 8 which which WDT 39713 645 9 separates separate VBZ 39713 645 10 any any DT 39713 645 11 two two CD 39713 645 12 terms term NNS 39713 645 13 . . . 39713 646 1 Only only RB 39713 646 2 on on IN 39713 646 3 this this DT 39713 646 4 condition condition NN 39713 646 5 does do VBZ 39713 646 6 the the DT 39713 646 7 continuum continuum NN 39713 646 8 become become VB 39713 646 9 a a DT 39713 646 10 measurable measurable JJ 39713 646 11 magnitude magnitude NN 39713 646 12 and and CC 39713 646 13 the the DT 39713 646 14 operations operation NNS 39713 646 15 of of IN 39713 646 16 arithmetic arithmetic JJ 39713 646 17 applicable applicable JJ 39713 646 18 . . . 39713 647 1 This this DT 39713 647 2 can can MD 39713 647 3 only only RB 39713 647 4 be be VB 39713 647 5 done do VBN 39713 647 6 by by IN 39713 647 7 the the DT 39713 647 8 aid aid NN 39713 647 9 of of IN 39713 647 10 a a DT 39713 647 11 new new JJ 39713 647 12 and and CC 39713 647 13 special special JJ 39713 647 14 _ _ NNP 39713 647 15 convention convention NN 39713 647 16 _ _ NNP 39713 647 17 . . . 39713 648 1 We -PRON- PRP 39713 648 2 will will MD 39713 648 3 _ _ RB 39713 648 4 agree agree VB 39713 648 5 _ _ IN 39713 648 6 that that IN 39713 648 7 in in IN 39713 648 8 such such JJ 39713 648 9 and and CC 39713 648 10 such such PDT 39713 648 11 a a DT 39713 648 12 case case NN 39713 648 13 the the DT 39713 648 14 interval interval NN 39713 648 15 comprised comprise VBN 39713 648 16 between between IN 39713 648 17 the the DT 39713 648 18 terms term NNS 39713 648 19 _ _ NNP 39713 648 20 A A NNP 39713 648 21 _ _ NNP 39713 648 22 and and CC 39713 648 23 _ _ NNP 39713 648 24 B B NNP 39713 648 25 _ _ NNP 39713 648 26 is be VBZ 39713 648 27 equal equal JJ 39713 648 28 to to IN 39713 648 29 the the DT 39713 648 30 interval interval NN 39713 648 31 which which WDT 39713 648 32 separates separate VBZ 39713 648 33 _ _ NNP 39713 648 34 C C NNP 39713 648 35 _ _ NNP 39713 648 36 and and CC 39713 648 37 _ _ NNP 39713 648 38 D D NNP 39713 648 39 _ _ NNP 39713 648 40 . . . 39713 649 1 For for IN 39713 649 2 example example NN 39713 649 3 , , , 39713 649 4 at at IN 39713 649 5 the the DT 39713 649 6 beginning beginning NN 39713 649 7 of of IN 39713 649 8 our -PRON- PRP$ 39713 649 9 work work NN 39713 649 10 we -PRON- PRP 39713 649 11 have have VBP 39713 649 12 set set VBN 39713 649 13 out out RP 39713 649 14 from from IN 39713 649 15 the the DT 39713 649 16 scale scale NN 39713 649 17 of of IN 39713 649 18 the the DT 39713 649 19 whole whole JJ 39713 649 20 numbers number NNS 39713 649 21 and and CC 39713 649 22 we -PRON- PRP 39713 649 23 have have VBP 39713 649 24 supposed suppose VBN 39713 649 25 intercalated intercalate VBN 39713 649 26 between between IN 39713 649 27 two two CD 39713 649 28 consecutive consecutive JJ 39713 649 29 steps step NNS 39713 649 30 _ _ NNP 39713 649 31 n n CC 39713 649 32 _ _ NNP 39713 649 33 intermediary intermediary JJ 39713 649 34 steps step NNS 39713 649 35 ; ; : 39713 649 36 well well UH 39713 649 37 , , , 39713 649 38 these these DT 39713 649 39 new new JJ 39713 649 40 steps step NNS 39713 649 41 will will MD 39713 649 42 be be VB 39713 649 43 by by IN 39713 649 44 convention convention NN 39713 649 45 regarded regard VBN 39713 649 46 as as IN 39713 649 47 equidistant equidistant NN 39713 649 48 . . . 39713 650 1 This this DT 39713 650 2 is be VBZ 39713 650 3 a a DT 39713 650 4 way way NN 39713 650 5 of of IN 39713 650 6 defining define VBG 39713 650 7 the the DT 39713 650 8 addition addition NN 39713 650 9 of of IN 39713 650 10 two two CD 39713 650 11 magnitudes magnitude NNS 39713 650 12 , , , 39713 650 13 because because IN 39713 650 14 if if IN 39713 650 15 the the DT 39713 650 16 interval interval NN 39713 650 17 _ _ NNP 39713 650 18 AB AB NNP 39713 650 19 _ _ NNP 39713 650 20 is be VBZ 39713 650 21 by by IN 39713 650 22 definition definition NN 39713 650 23 equal equal JJ 39713 650 24 to to IN 39713 650 25 the the DT 39713 650 26 interval interval NN 39713 650 27 _ _ NNP 39713 650 28 CD CD NNP 39713 650 29 _ _ NNP 39713 650 30 , , , 39713 650 31 the the DT 39713 650 32 interval interval NN 39713 650 33 _ _ NNP 39713 650 34 AD AD NNP 39713 650 35 _ _ NNP 39713 650 36 will will MD 39713 650 37 be be VB 39713 650 38 by by IN 39713 650 39 definition definition NN 39713 650 40 the the DT 39713 650 41 sum sum NN 39713 650 42 of of IN 39713 650 43 the the DT 39713 650 44 intervals interval NNS 39713 650 45 _ _ NNP 39713 650 46 AB AB NNP 39713 650 47 _ _ NNP 39713 650 48 and and CC 39713 650 49 _ _ NNP 39713 650 50 AC AC NNP 39713 650 51 _ _ NNP 39713 650 52 . . . 39713 651 1 This this DT 39713 651 2 definition definition NN 39713 651 3 is be VBZ 39713 651 4 arbitrary arbitrary JJ 39713 651 5 in in IN 39713 651 6 a a DT 39713 651 7 very very RB 39713 651 8 large large JJ 39713 651 9 measure measure NN 39713 651 10 . . . 39713 652 1 It -PRON- PRP 39713 652 2 is be VBZ 39713 652 3 not not RB 39713 652 4 completely completely RB 39713 652 5 so so RB 39713 652 6 , , , 39713 652 7 however however RB 39713 652 8 . . . 39713 653 1 It -PRON- PRP 39713 653 2 is be VBZ 39713 653 3 subjected subject VBN 39713 653 4 to to IN 39713 653 5 certain certain JJ 39713 653 6 conditions condition NNS 39713 653 7 and and CC 39713 653 8 , , , 39713 653 9 for for IN 39713 653 10 example example NN 39713 653 11 , , , 39713 653 12 to to IN 39713 653 13 the the DT 39713 653 14 rules rule NNS 39713 653 15 of of IN 39713 653 16 commutativity commutativity NN 39713 653 17 and and CC 39713 653 18 associativity associativity NN 39713 653 19 of of IN 39713 653 20 addition addition NN 39713 653 21 . . . 39713 654 1 But but CC 39713 654 2 provided provide VBD 39713 654 3 the the DT 39713 654 4 definition definition NN 39713 654 5 chosen choose VBN 39713 654 6 satisfies satisfie NNS 39713 654 7 these these DT 39713 654 8 rules rule NNS 39713 654 9 , , , 39713 654 10 the the DT 39713 654 11 choice choice NN 39713 654 12 is be VBZ 39713 654 13 indifferent indifferent JJ 39713 654 14 , , , 39713 654 15 and and CC 39713 654 16 it -PRON- PRP 39713 654 17 is be VBZ 39713 654 18 useless useless JJ 39713 654 19 to to TO 39713 654 20 particularize particularize VB 39713 654 21 it -PRON- PRP 39713 654 22 . . . 39713 655 1 VARIOUS VARIOUS NNP 39713 655 2 REMARKS.--We REMARKS.--We NNP 39713 655 3 can can MD 39713 655 4 now now RB 39713 655 5 discuss discuss VB 39713 655 6 several several JJ 39713 655 7 important important JJ 39713 655 8 questions question NNS 39713 655 9 : : : 39713 655 10 1º 1º CD 39713 655 11 Is be VBZ 39713 655 12 the the DT 39713 655 13 creative creative JJ 39713 655 14 power power NN 39713 655 15 of of IN 39713 655 16 the the DT 39713 655 17 mind mind NN 39713 655 18 exhausted exhaust VBN 39713 655 19 by by IN 39713 655 20 the the DT 39713 655 21 creation creation NN 39713 655 22 of of IN 39713 655 23 the the DT 39713 655 24 mathematical mathematical JJ 39713 655 25 continuum continuum NN 39713 655 26 ? ? . 39713 656 1 No no UH 39713 656 2 : : : 39713 656 3 the the DT 39713 656 4 works work NNS 39713 656 5 of of IN 39713 656 6 Du Du NNP 39713 656 7 Bois Bois NNP 39713 656 8 - - HYPH 39713 656 9 Reymond Reymond NNP 39713 656 10 demonstrate demonstrate VBP 39713 656 11 it -PRON- PRP 39713 656 12 in in IN 39713 656 13 a a DT 39713 656 14 striking striking JJ 39713 656 15 way way NN 39713 656 16 . . . 39713 657 1 We -PRON- PRP 39713 657 2 know know VBP 39713 657 3 that that IN 39713 657 4 mathematicians mathematician NNS 39713 657 5 distinguish distinguish VBP 39713 657 6 between between IN 39713 657 7 infinitesimals infinitesimal NNS 39713 657 8 of of IN 39713 657 9 different different JJ 39713 657 10 orders order NNS 39713 657 11 and and CC 39713 657 12 that that IN 39713 657 13 those those DT 39713 657 14 of of IN 39713 657 15 the the DT 39713 657 16 second second JJ 39713 657 17 order order NN 39713 657 18 are be VBP 39713 657 19 infinitesimal infinitesimal JJ 39713 657 20 , , , 39713 657 21 not not RB 39713 657 22 only only RB 39713 657 23 in in IN 39713 657 24 an an DT 39713 657 25 absolute absolute JJ 39713 657 26 way way NN 39713 657 27 , , , 39713 657 28 but but CC 39713 657 29 also also RB 39713 657 30 in in IN 39713 657 31 relation relation NN 39713 657 32 to to IN 39713 657 33 those those DT 39713 657 34 of of IN 39713 657 35 the the DT 39713 657 36 first first JJ 39713 657 37 order order NN 39713 657 38 . . . 39713 658 1 It -PRON- PRP 39713 658 2 is be VBZ 39713 658 3 not not RB 39713 658 4 difficult difficult JJ 39713 658 5 to to TO 39713 658 6 imagine imagine VB 39713 658 7 infinitesimals infinitesimal NNS 39713 658 8 of of IN 39713 658 9 fractional fractional JJ 39713 658 10 or or CC 39713 658 11 even even RB 39713 658 12 of of IN 39713 658 13 irrational irrational JJ 39713 658 14 order order NN 39713 658 15 , , , 39713 658 16 and and CC 39713 658 17 thus thus RB 39713 658 18 we -PRON- PRP 39713 658 19 find find VBP 39713 658 20 again again RB 39713 658 21 that that DT 39713 658 22 scale scale NN 39713 658 23 of of IN 39713 658 24 the the DT 39713 658 25 mathematical mathematical JJ 39713 658 26 continuum continuum NN 39713 658 27 which which WDT 39713 658 28 has have VBZ 39713 658 29 been be VBN 39713 658 30 dealt deal VBN 39713 658 31 with with IN 39713 658 32 in in IN 39713 658 33 the the DT 39713 658 34 preceding precede VBG 39713 658 35 pages page NNS 39713 658 36 . . . 39713 659 1 Further further RB 39713 659 2 , , , 39713 659 3 there there EX 39713 659 4 are be VBP 39713 659 5 infinitesimals infinitesimal NNS 39713 659 6 which which WDT 39713 659 7 are be VBP 39713 659 8 infinitely infinitely RB 39713 659 9 small small JJ 39713 659 10 in in IN 39713 659 11 relation relation NN 39713 659 12 to to IN 39713 659 13 those those DT 39713 659 14 of of IN 39713 659 15 the the DT 39713 659 16 first first JJ 39713 659 17 order order NN 39713 659 18 , , , 39713 659 19 and and CC 39713 659 20 , , , 39713 659 21 on on IN 39713 659 22 the the DT 39713 659 23 contrary contrary NN 39713 659 24 , , , 39713 659 25 infinitely infinitely RB 39713 659 26 great great JJ 39713 659 27 in in IN 39713 659 28 relation relation NN 39713 659 29 to to IN 39713 659 30 those those DT 39713 659 31 of of IN 39713 659 32 order order NN 39713 659 33 1 1 CD 39713 659 34 + + CC 39713 659 35 [ [ -LRB- 39713 659 36 epsilon epsilon NN 39713 659 37 ] ] -RRB- 39713 659 38 , , , 39713 659 39 and and CC 39713 659 40 that that IN 39713 659 41 however however RB 39713 659 42 small small JJ 39713 659 43 [ [ -LRB- 39713 659 44 epsilon epsilon NN 39713 659 45 ] ] -RRB- 39713 659 46 may may MD 39713 659 47 be be VB 39713 659 48 . . . 39713 660 1 Here here RB 39713 660 2 , , , 39713 660 3 then then RB 39713 660 4 , , , 39713 660 5 are be VBP 39713 660 6 new new JJ 39713 660 7 terms term NNS 39713 660 8 intercalated intercalate VBN 39713 660 9 in in IN 39713 660 10 our -PRON- PRP$ 39713 660 11 series series NN 39713 660 12 , , , 39713 660 13 and and CC 39713 660 14 if if IN 39713 660 15 I -PRON- PRP 39713 660 16 may may MD 39713 660 17 be be VB 39713 660 18 permitted permit VBN 39713 660 19 to to TO 39713 660 20 revert revert VB 39713 660 21 to to IN 39713 660 22 the the DT 39713 660 23 phraseology phraseology NN 39713 660 24 lately lately RB 39713 660 25 employed employ VBN 39713 660 26 which which WDT 39713 660 27 is be VBZ 39713 660 28 very very RB 39713 660 29 convenient convenient JJ 39713 660 30 though though IN 39713 660 31 not not RB 39713 660 32 consecrated consecrate VBN 39713 660 33 by by IN 39713 660 34 usage usage NN 39713 660 35 , , , 39713 660 36 I -PRON- PRP 39713 660 37 shall shall MD 39713 660 38 say say VB 39713 660 39 that that IN 39713 660 40 thus thus RB 39713 660 41 has have VBZ 39713 660 42 been be VBN 39713 660 43 created create VBN 39713 660 44 a a DT 39713 660 45 sort sort NN 39713 660 46 of of IN 39713 660 47 continuum continuum NN 39713 660 48 of of IN 39713 660 49 the the DT 39713 660 50 third third JJ 39713 660 51 order order NN 39713 660 52 . . . 39713 661 1 It -PRON- PRP 39713 661 2 would would MD 39713 661 3 be be VB 39713 661 4 easy easy JJ 39713 661 5 to to TO 39713 661 6 go go VB 39713 661 7 further far RBR 39713 661 8 , , , 39713 661 9 but but CC 39713 661 10 that that DT 39713 661 11 would would MD 39713 661 12 be be VB 39713 661 13 idle idle JJ 39713 661 14 ; ; : 39713 661 15 one one PRP 39713 661 16 would would MD 39713 661 17 only only RB 39713 661 18 be be VB 39713 661 19 imagining imagine VBG 39713 661 20 symbols symbol NNS 39713 661 21 without without IN 39713 661 22 possible possible JJ 39713 661 23 application application NN 39713 661 24 , , , 39713 661 25 and and CC 39713 661 26 no no DT 39713 661 27 one one NN 39713 661 28 will will MD 39713 661 29 think think VB 39713 661 30 of of IN 39713 661 31 doing do VBG 39713 661 32 that that DT 39713 661 33 . . . 39713 662 1 The the DT 39713 662 2 continuum continuum NN 39713 662 3 of of IN 39713 662 4 the the DT 39713 662 5 third third JJ 39713 662 6 order order NN 39713 662 7 , , , 39713 662 8 to to TO 39713 662 9 which which WDT 39713 662 10 the the DT 39713 662 11 consideration consideration NN 39713 662 12 of of IN 39713 662 13 the the DT 39713 662 14 different different JJ 39713 662 15 orders order NNS 39713 662 16 of of IN 39713 662 17 infinitesimals infinitesimal NNS 39713 662 18 leads lead VBZ 39713 662 19 , , , 39713 662 20 is be VBZ 39713 662 21 itself -PRON- PRP 39713 662 22 not not RB 39713 662 23 useful useful JJ 39713 662 24 enough enough RB 39713 662 25 to to TO 39713 662 26 have have VB 39713 662 27 won win VBN 39713 662 28 citizenship citizenship NN 39713 662 29 , , , 39713 662 30 and and CC 39713 662 31 geometers geometer NNS 39713 662 32 regard regard VBP 39713 662 33 it -PRON- PRP 39713 662 34 only only RB 39713 662 35 as as IN 39713 662 36 a a DT 39713 662 37 mere mere JJ 39713 662 38 curiosity curiosity NN 39713 662 39 . . . 39713 663 1 The the DT 39713 663 2 mind mind NN 39713 663 3 uses use VBZ 39713 663 4 its -PRON- PRP$ 39713 663 5 creative creative JJ 39713 663 6 faculty faculty NN 39713 663 7 only only RB 39713 663 8 when when WRB 39713 663 9 experience experience NN 39713 663 10 requires require VBZ 39713 663 11 it -PRON- PRP 39713 663 12 . . . 39713 664 1 2º 2º NNS 39713 664 2 Once once RB 39713 664 3 in in IN 39713 664 4 possession possession NN 39713 664 5 of of IN 39713 664 6 the the DT 39713 664 7 concept concept NN 39713 664 8 of of IN 39713 664 9 the the DT 39713 664 10 mathematical mathematical JJ 39713 664 11 continuum continuum NN 39713 664 12 , , , 39713 664 13 is be VBZ 39713 664 14 one one CD 39713 664 15 safe safe JJ 39713 664 16 from from IN 39713 664 17 contradictions contradiction NNS 39713 664 18 analogous analogous JJ 39713 664 19 to to IN 39713 664 20 those those DT 39713 664 21 which which WDT 39713 664 22 gave give VBD 39713 664 23 birth birth NN 39713 664 24 to to IN 39713 664 25 it -PRON- PRP 39713 664 26 ? ? . 39713 665 1 No no UH 39713 665 2 , , , 39713 665 3 and and CC 39713 665 4 I -PRON- PRP 39713 665 5 will will MD 39713 665 6 give give VB 39713 665 7 an an DT 39713 665 8 example example NN 39713 665 9 . . . 39713 666 1 One one PRP 39713 666 2 must must MD 39713 666 3 be be VB 39713 666 4 very very RB 39713 666 5 wise wise JJ 39713 666 6 not not RB 39713 666 7 to to TO 39713 666 8 regard regard VB 39713 666 9 it -PRON- PRP 39713 666 10 as as RB 39713 666 11 evident evident JJ 39713 666 12 that that IN 39713 666 13 every every DT 39713 666 14 curve curve NN 39713 666 15 has have VBZ 39713 666 16 a a DT 39713 666 17 tangent tangent NN 39713 666 18 ; ; : 39713 666 19 and and CC 39713 666 20 in in IN 39713 666 21 fact fact NN 39713 666 22 if if IN 39713 666 23 we -PRON- PRP 39713 666 24 picture picture VBP 39713 666 25 this this DT 39713 666 26 curve curve NN 39713 666 27 and and CC 39713 666 28 a a DT 39713 666 29 straight straight JJ 39713 666 30 as as IN 39713 666 31 two two CD 39713 666 32 narrow narrow JJ 39713 666 33 bands band NNS 39713 666 34 we -PRON- PRP 39713 666 35 can can MD 39713 666 36 always always RB 39713 666 37 so so RB 39713 666 38 dispose dispose VB 39713 666 39 them -PRON- PRP 39713 666 40 that that IN 39713 666 41 they -PRON- PRP 39713 666 42 have have VBP 39713 666 43 a a DT 39713 666 44 part part NN 39713 666 45 in in IN 39713 666 46 common common JJ 39713 666 47 without without IN 39713 666 48 crossing cross VBG 39713 666 49 . . . 39713 667 1 If if IN 39713 667 2 we -PRON- PRP 39713 667 3 imagine imagine VBP 39713 667 4 then then RB 39713 667 5 the the DT 39713 667 6 breadth breadth NN 39713 667 7 of of IN 39713 667 8 these these DT 39713 667 9 two two CD 39713 667 10 bands band NNS 39713 667 11 to to TO 39713 667 12 diminish diminish VB 39713 667 13 indefinitely indefinitely RB 39713 667 14 , , , 39713 667 15 this this DT 39713 667 16 common common JJ 39713 667 17 part part NN 39713 667 18 will will MD 39713 667 19 always always RB 39713 667 20 subsist subsist VB 39713 667 21 and and CC 39713 667 22 , , , 39713 667 23 at at IN 39713 667 24 the the DT 39713 667 25 limit limit NN 39713 667 26 , , , 39713 667 27 so so RB 39713 667 28 to to TO 39713 667 29 speak speak VB 39713 667 30 , , , 39713 667 31 the the DT 39713 667 32 two two CD 39713 667 33 lines line NNS 39713 667 34 will will MD 39713 667 35 have have VB 39713 667 36 a a DT 39713 667 37 point point NN 39713 667 38 in in IN 39713 667 39 common common JJ 39713 667 40 without without IN 39713 667 41 crossing crossing NN 39713 667 42 , , , 39713 667 43 that that DT 39713 667 44 is be VBZ 39713 667 45 to to TO 39713 667 46 say say VB 39713 667 47 , , , 39713 667 48 they -PRON- PRP 39713 667 49 will will MD 39713 667 50 be be VB 39713 667 51 tangent tangent JJ 39713 667 52 . . . 39713 668 1 The the DT 39713 668 2 geometer geometer NN 39713 668 3 who who WP 39713 668 4 reasons reason VBZ 39713 668 5 in in IN 39713 668 6 this this DT 39713 668 7 way way NN 39713 668 8 , , , 39713 668 9 consciously consciously RB 39713 668 10 or or CC 39713 668 11 not not RB 39713 668 12 , , , 39713 668 13 is be VBZ 39713 668 14 only only RB 39713 668 15 doing do VBG 39713 668 16 what what WP 39713 668 17 we -PRON- PRP 39713 668 18 have have VBP 39713 668 19 done do VBN 39713 668 20 above above RB 39713 668 21 to to TO 39713 668 22 prove prove VB 39713 668 23 two two CD 39713 668 24 lines line NNS 39713 668 25 which which WDT 39713 668 26 cut cut VBD 39713 668 27 have have VBP 39713 668 28 a a DT 39713 668 29 point point NN 39713 668 30 in in IN 39713 668 31 common common JJ 39713 668 32 , , , 39713 668 33 and and CC 39713 668 34 his -PRON- PRP$ 39713 668 35 intuition intuition NN 39713 668 36 might may MD 39713 668 37 seem seem VB 39713 668 38 just just RB 39713 668 39 as as RB 39713 668 40 legitimate legitimate JJ 39713 668 41 . . . 39713 669 1 It -PRON- PRP 39713 669 2 would would MD 39713 669 3 deceive deceive VB 39713 669 4 him -PRON- PRP 39713 669 5 however however RB 39713 669 6 . . . 39713 670 1 We -PRON- PRP 39713 670 2 can can MD 39713 670 3 demonstrate demonstrate VB 39713 670 4 that that IN 39713 670 5 there there EX 39713 670 6 are be VBP 39713 670 7 curves curve NNS 39713 670 8 which which WDT 39713 670 9 have have VBP 39713 670 10 no no DT 39713 670 11 tangent tangent NN 39713 670 12 , , , 39713 670 13 if if IN 39713 670 14 such such PDT 39713 670 15 a a DT 39713 670 16 curve curve NN 39713 670 17 is be VBZ 39713 670 18 defined define VBN 39713 670 19 as as IN 39713 670 20 an an DT 39713 670 21 analytic analytic JJ 39713 670 22 continuum continuum NN 39713 670 23 of of IN 39713 670 24 the the DT 39713 670 25 second second JJ 39713 670 26 order order NN 39713 670 27 . . . 39713 671 1 Without without IN 39713 671 2 doubt doubt NN 39713 671 3 some some DT 39713 671 4 artifice artifice NN 39713 671 5 analogous analogous JJ 39713 671 6 to to IN 39713 671 7 those those DT 39713 671 8 we -PRON- PRP 39713 671 9 have have VBP 39713 671 10 discussed discuss VBN 39713 671 11 above above RB 39713 671 12 would would MD 39713 671 13 have have VB 39713 671 14 sufficed suffice VBN 39713 671 15 to to TO 39713 671 16 remove remove VB 39713 671 17 the the DT 39713 671 18 contradiction contradiction NN 39713 671 19 ; ; : 39713 671 20 but but CC 39713 671 21 , , , 39713 671 22 as as IN 39713 671 23 this this DT 39713 671 24 is be VBZ 39713 671 25 met meet VBN 39713 671 26 with with IN 39713 671 27 only only RB 39713 671 28 in in IN 39713 671 29 very very RB 39713 671 30 exceptional exceptional JJ 39713 671 31 cases case NNS 39713 671 32 , , , 39713 671 33 it -PRON- PRP 39713 671 34 has have VBZ 39713 671 35 received receive VBN 39713 671 36 no no DT 39713 671 37 further further JJ 39713 671 38 attention attention NN 39713 671 39 . . . 39713 672 1 Instead instead RB 39713 672 2 of of IN 39713 672 3 seeking seek VBG 39713 672 4 to to IN 39713 672 5 reconcile reconcile JJ 39713 672 6 intuition intuition NN 39713 672 7 with with IN 39713 672 8 analysis analysis NN 39713 672 9 , , , 39713 672 10 we -PRON- PRP 39713 672 11 have have VBP 39713 672 12 been be VBN 39713 672 13 content content JJ 39713 672 14 to to TO 39713 672 15 sacrifice sacrifice VB 39713 672 16 one one CD 39713 672 17 of of IN 39713 672 18 the the DT 39713 672 19 two two CD 39713 672 20 , , , 39713 672 21 and and CC 39713 672 22 as as IN 39713 672 23 analysis analysis NN 39713 672 24 must must MD 39713 672 25 remain remain VB 39713 672 26 impeccable impeccable JJ 39713 672 27 , , , 39713 672 28 we -PRON- PRP 39713 672 29 have have VBP 39713 672 30 decided decide VBN 39713 672 31 against against IN 39713 672 32 intuition intuition NN 39713 672 33 . . . 39713 673 1 THE the DT 39713 673 2 PHYSICAL physical NN 39713 673 3 CONTINUUM CONTINUUM NNS 39713 673 4 OF of IN 39713 673 5 SEVERAL several JJ 39713 673 6 DIMENSIONS.--We DIMENSIONS.--We NNS 39713 673 7 have have VBP 39713 673 8 discussed discuss VBN 39713 673 9 above above IN 39713 673 10 the the DT 39713 673 11 physical physical JJ 39713 673 12 continuum continuum NN 39713 673 13 as as IN 39713 673 14 derived derive VBN 39713 673 15 from from IN 39713 673 16 the the DT 39713 673 17 immediate immediate JJ 39713 673 18 data datum NNS 39713 673 19 of of IN 39713 673 20 our -PRON- PRP$ 39713 673 21 senses sense NNS 39713 673 22 , , , 39713 673 23 or or CC 39713 673 24 , , , 39713 673 25 if if IN 39713 673 26 you -PRON- PRP 39713 673 27 wish wish VBP 39713 673 28 , , , 39713 673 29 from from IN 39713 673 30 the the DT 39713 673 31 rough rough JJ 39713 673 32 results result NNS 39713 673 33 of of IN 39713 673 34 Fechner Fechner NNP 39713 673 35 's 's POS 39713 673 36 experiments experiment NNS 39713 673 37 ; ; : 39713 673 38 I -PRON- PRP 39713 673 39 have have VBP 39713 673 40 shown show VBN 39713 673 41 that that IN 39713 673 42 these these DT 39713 673 43 results result NNS 39713 673 44 are be VBP 39713 673 45 summed sum VBN 39713 673 46 up up RP 39713 673 47 in in IN 39713 673 48 the the DT 39713 673 49 contradictory contradictory JJ 39713 673 50 formulas formula NNS 39713 673 51 _ _ NNP 39713 673 52 A A NNP 39713 673 53 _ _ NNP 39713 673 54 = = SYM 39713 673 55 _ _ NNP 39713 673 56 B B NNP 39713 673 57 _ _ NNP 39713 673 58 , , , 39713 673 59 _ _ NNP 39713 673 60 B B NNP 39713 673 61 _ _ NNP 39713 673 62 = = SYM 39713 673 63 _ _ NNP 39713 673 64 C C NNP 39713 673 65 _ _ NNP 39713 673 66 , , , 39713 673 67 _ _ NNP 39713 673 68 A A NNP 39713 673 69 _ _ NNP 39713 673 70 < < XX 39713 673 71 _ _ NNP 39713 673 72 C C NNP 39713 673 73 _ _ NNP 39713 673 74 . . . 39713 674 1 Let let VB 39713 674 2 us -PRON- PRP 39713 674 3 now now RB 39713 674 4 see see VB 39713 674 5 how how WRB 39713 674 6 this this DT 39713 674 7 notion notion NN 39713 674 8 has have VBZ 39713 674 9 been be VBN 39713 674 10 generalized generalize VBN 39713 674 11 and and CC 39713 674 12 how how WRB 39713 674 13 from from IN 39713 674 14 it -PRON- PRP 39713 674 15 has have VBZ 39713 674 16 come come VBN 39713 674 17 the the DT 39713 674 18 concept concept NN 39713 674 19 of of IN 39713 674 20 many many JJ 39713 674 21 - - HYPH 39713 674 22 dimensional dimensional JJ 39713 674 23 continua continua NN 39713 674 24 . . . 39713 675 1 Consider consider VB 39713 675 2 any any DT 39713 675 3 two two CD 39713 675 4 aggregates aggregate NNS 39713 675 5 of of IN 39713 675 6 sensations sensation NNS 39713 675 7 . . . 39713 676 1 Either either CC 39713 676 2 we -PRON- PRP 39713 676 3 can can MD 39713 676 4 discriminate discriminate VB 39713 676 5 them -PRON- PRP 39713 676 6 one one CD 39713 676 7 from from IN 39713 676 8 another another DT 39713 676 9 , , , 39713 676 10 or or CC 39713 676 11 we -PRON- PRP 39713 676 12 can can MD 39713 676 13 not not RB 39713 676 14 , , , 39713 676 15 just just RB 39713 676 16 as as IN 39713 676 17 in in IN 39713 676 18 Fechner Fechner NNP 39713 676 19 's 's POS 39713 676 20 experiments experiment NNS 39713 676 21 a a DT 39713 676 22 weight weight NN 39713 676 23 of of IN 39713 676 24 10 10 CD 39713 676 25 grams gram NNS 39713 676 26 can can MD 39713 676 27 be be VB 39713 676 28 distinguished distinguish VBN 39713 676 29 from from IN 39713 676 30 a a DT 39713 676 31 weight weight NN 39713 676 32 of of IN 39713 676 33 12 12 CD 39713 676 34 grams gram NNS 39713 676 35 , , , 39713 676 36 but but CC 39713 676 37 not not RB 39713 676 38 from from IN 39713 676 39 a a DT 39713 676 40 weight weight NN 39713 676 41 of of IN 39713 676 42 11 11 CD 39713 676 43 grams gram NNS 39713 676 44 . . . 39713 677 1 This this DT 39713 677 2 is be VBZ 39713 677 3 all all DT 39713 677 4 that that WDT 39713 677 5 is be VBZ 39713 677 6 required require VBN 39713 677 7 to to TO 39713 677 8 construct construct VB 39713 677 9 the the DT 39713 677 10 continuum continuum NN 39713 677 11 of of IN 39713 677 12 several several JJ 39713 677 13 dimensions dimension NNS 39713 677 14 . . . 39713 678 1 Let let VB 39713 678 2 us -PRON- PRP 39713 678 3 call call VB 39713 678 4 one one CD 39713 678 5 of of IN 39713 678 6 these these DT 39713 678 7 aggregates aggregate NNS 39713 678 8 of of IN 39713 678 9 sensations sensation NNS 39713 678 10 an an DT 39713 678 11 _ _ NNP 39713 678 12 element element NN 39713 678 13 _ _ NNP 39713 678 14 . . . 39713 679 1 That that DT 39713 679 2 will will MD 39713 679 3 be be VB 39713 679 4 something something NN 39713 679 5 analogous analogous JJ 39713 679 6 to to IN 39713 679 7 the the DT 39713 679 8 _ _ NNP 39713 679 9 point point NN 39713 679 10 _ _ NNP 39713 679 11 of of IN 39713 679 12 the the DT 39713 679 13 mathematicians mathematician NNS 39713 679 14 ; ; : 39713 679 15 it -PRON- PRP 39713 679 16 will will MD 39713 679 17 not not RB 39713 679 18 be be VB 39713 679 19 altogether altogether RB 39713 679 20 the the DT 39713 679 21 same same JJ 39713 679 22 thing thing NN 39713 679 23 however however RB 39713 679 24 . . . 39713 680 1 We -PRON- PRP 39713 680 2 can can MD 39713 680 3 not not RB 39713 680 4 say say VB 39713 680 5 our -PRON- PRP$ 39713 680 6 element element NN 39713 680 7 is be VBZ 39713 680 8 without without IN 39713 680 9 extension extension NN 39713 680 10 , , , 39713 680 11 since since IN 39713 680 12 we -PRON- PRP 39713 680 13 can can MD 39713 680 14 not not RB 39713 680 15 distinguish distinguish VB 39713 680 16 it -PRON- PRP 39713 680 17 from from IN 39713 680 18 neighboring neighbor VBG 39713 680 19 elements element NNS 39713 680 20 and and CC 39713 680 21 it -PRON- PRP 39713 680 22 is be VBZ 39713 680 23 thus thus RB 39713 680 24 surrounded surround VBN 39713 680 25 by by IN 39713 680 26 a a DT 39713 680 27 sort sort NN 39713 680 28 of of IN 39713 680 29 haze haze NN 39713 680 30 . . . 39713 681 1 If if IN 39713 681 2 the the DT 39713 681 3 astronomical astronomical JJ 39713 681 4 comparison comparison NN 39713 681 5 may may MD 39713 681 6 be be VB 39713 681 7 allowed allow VBN 39713 681 8 , , , 39713 681 9 our -PRON- PRP$ 39713 681 10 ' ' `` 39713 681 11 elements element NNS 39713 681 12 ' ' '' 39713 681 13 would would MD 39713 681 14 be be VB 39713 681 15 like like IN 39713 681 16 nebulae nebulae NNP 39713 681 17 , , , 39713 681 18 whereas whereas IN 39713 681 19 the the DT 39713 681 20 mathematical mathematical JJ 39713 681 21 points point NNS 39713 681 22 would would MD 39713 681 23 be be VB 39713 681 24 like like IN 39713 681 25 stars star NNS 39713 681 26 . . . 39713 682 1 That that IN 39713 682 2 being be VBG 39713 682 3 granted grant VBN 39713 682 4 , , , 39713 682 5 a a DT 39713 682 6 system system NN 39713 682 7 of of IN 39713 682 8 elements element NNS 39713 682 9 will will MD 39713 682 10 form form VB 39713 682 11 a a DT 39713 682 12 _ _ NNP 39713 682 13 continuum continuum NN 39713 682 14 _ _ NNP 39713 682 15 if if IN 39713 682 16 we -PRON- PRP 39713 682 17 can can MD 39713 682 18 pass pass VB 39713 682 19 from from IN 39713 682 20 any any DT 39713 682 21 one one CD 39713 682 22 of of IN 39713 682 23 them -PRON- PRP 39713 682 24 to to IN 39713 682 25 any any DT 39713 682 26 other other JJ 39713 682 27 , , , 39713 682 28 by by IN 39713 682 29 a a DT 39713 682 30 series series NN 39713 682 31 of of IN 39713 682 32 consecutive consecutive JJ 39713 682 33 elements element NNS 39713 682 34 such such JJ 39713 682 35 that that IN 39713 682 36 each each DT 39713 682 37 is be VBZ 39713 682 38 indistinguishable indistinguishable JJ 39713 682 39 from from IN 39713 682 40 the the DT 39713 682 41 preceding precede VBG 39713 682 42 . . . 39713 683 1 This this DT 39713 683 2 _ _ NNP 39713 683 3 linear linear NN 39713 683 4 _ _ NNP 39713 683 5 series series NN 39713 683 6 is be VBZ 39713 683 7 to to IN 39713 683 8 the the DT 39713 683 9 _ _ NNP 39713 683 10 line line NN 39713 683 11 _ _ NNP 39713 683 12 of of IN 39713 683 13 the the DT 39713 683 14 mathematician mathematician NN 39713 683 15 what what WDT 39713 683 16 an an DT 39713 683 17 isolated isolate VBN 39713 683 18 _ _ NNP 39713 683 19 element element NN 39713 683 20 _ _ NNP 39713 683 21 was be VBD 39713 683 22 to to IN 39713 683 23 the the DT 39713 683 24 point point NN 39713 683 25 . . . 39713 684 1 Before before IN 39713 684 2 going go VBG 39713 684 3 farther farther RB 39713 684 4 , , , 39713 684 5 I -PRON- PRP 39713 684 6 must must MD 39713 684 7 explain explain VB 39713 684 8 what what WP 39713 684 9 is be VBZ 39713 684 10 meant mean VBN 39713 684 11 by by IN 39713 684 12 a a DT 39713 684 13 _ _ NNP 39713 684 14 cut cut NN 39713 684 15 _ _ NNP 39713 684 16 . . . 39713 685 1 Consider consider VB 39713 685 2 a a DT 39713 685 3 continuum continuum NN 39713 685 4 _ _ NNP 39713 685 5 C C NNP 39713 685 6 _ _ NNP 39713 685 7 and and CC 39713 685 8 remove remove VB 39713 685 9 from from IN 39713 685 10 it -PRON- PRP 39713 685 11 certain certain JJ 39713 685 12 of of IN 39713 685 13 its -PRON- PRP$ 39713 685 14 elements element NNS 39713 685 15 which which WDT 39713 685 16 for for IN 39713 685 17 an an DT 39713 685 18 instant instant NN 39713 685 19 we -PRON- PRP 39713 685 20 shall shall MD 39713 685 21 regard regard VB 39713 685 22 as as IN 39713 685 23 no no RB 39713 685 24 longer long RBR 39713 685 25 belonging belong VBG 39713 685 26 to to IN 39713 685 27 this this DT 39713 685 28 continuum continuum NN 39713 685 29 . . . 39713 686 1 The the DT 39713 686 2 aggregate aggregate NN 39713 686 3 of of IN 39713 686 4 the the DT 39713 686 5 elements element NNS 39713 686 6 so so RB 39713 686 7 removed removed JJ 39713 686 8 will will MD 39713 686 9 be be VB 39713 686 10 called call VBN 39713 686 11 a a DT 39713 686 12 cut cut NN 39713 686 13 . . . 39713 687 1 It -PRON- PRP 39713 687 2 may may MD 39713 687 3 happen happen VB 39713 687 4 that that IN 39713 687 5 , , , 39713 687 6 thanks thank NNS 39713 687 7 to to IN 39713 687 8 this this DT 39713 687 9 cut cut NN 39713 687 10 , , , 39713 687 11 _ _ NNP 39713 687 12 C C NNP 39713 687 13 _ _ NNP 39713 687 14 may may MD 39713 687 15 be be VB 39713 687 16 _ _ NNP 39713 687 17 subdivided subdivide VBN 39713 687 18 _ _ NNP 39713 687 19 into into IN 39713 687 20 several several JJ 39713 687 21 distinct distinct JJ 39713 687 22 continua continua NN 39713 687 23 , , , 39713 687 24 the the DT 39713 687 25 aggregate aggregate NN 39713 687 26 of of IN 39713 687 27 the the DT 39713 687 28 remaining remain VBG 39713 687 29 elements element NNS 39713 687 30 ceasing cease VBG 39713 687 31 to to TO 39713 687 32 form form VB 39713 687 33 a a DT 39713 687 34 unique unique JJ 39713 687 35 continuum continuum NN 39713 687 36 . . . 39713 688 1 There there EX 39713 688 2 will will MD 39713 688 3 then then RB 39713 688 4 be be VB 39713 688 5 on on IN 39713 688 6 _ _ NNP 39713 688 7 C C NNP 39713 688 8 _ _ NNP 39713 688 9 two two CD 39713 688 10 elements element NNS 39713 688 11 , , , 39713 688 12 _ _ NNP 39713 688 13 A A NNP 39713 688 14 _ _ NNP 39713 688 15 and and CC 39713 688 16 _ _ NNP 39713 688 17 B B NNP 39713 688 18 _ _ NNP 39713 688 19 , , , 39713 688 20 that that DT 39713 688 21 must must MD 39713 688 22 be be VB 39713 688 23 regarded regard VBN 39713 688 24 as as IN 39713 688 25 belonging belong VBG 39713 688 26 to to IN 39713 688 27 two two CD 39713 688 28 distinct distinct JJ 39713 688 29 continua continua NN 39713 688 30 , , , 39713 688 31 and and CC 39713 688 32 this this DT 39713 688 33 will will MD 39713 688 34 be be VB 39713 688 35 recognized recognize VBN 39713 688 36 because because IN 39713 688 37 it -PRON- PRP 39713 688 38 will will MD 39713 688 39 be be VB 39713 688 40 impossible impossible JJ 39713 688 41 to to TO 39713 688 42 find find VB 39713 688 43 a a DT 39713 688 44 linear linear JJ 39713 688 45 series series NN 39713 688 46 of of IN 39713 688 47 consecutive consecutive JJ 39713 688 48 elements element NNS 39713 688 49 of of IN 39713 688 50 _ _ NNP 39713 688 51 C C NNP 39713 688 52 _ _ NNP 39713 688 53 , , , 39713 688 54 each each DT 39713 688 55 of of IN 39713 688 56 these these DT 39713 688 57 elements element NNS 39713 688 58 indistinguishable indistinguishable JJ 39713 688 59 from from IN 39713 688 60 the the DT 39713 688 61 preceding preceding NN 39713 688 62 , , , 39713 688 63 the the DT 39713 688 64 first first JJ 39713 688 65 being being NN 39713 688 66 _ _ NNP 39713 688 67 A A NNP 39713 688 68 _ _ NNP 39713 688 69 and and CC 39713 688 70 the the DT 39713 688 71 last last JJ 39713 688 72 _ _ NNP 39713 688 73 B B NNP 39713 688 74 _ _ NNP 39713 688 75 , , , 39713 688 76 _ _ NNP 39713 688 77 without without IN 39713 688 78 one one CD 39713 688 79 of of IN 39713 688 80 the the DT 39713 688 81 elements element NNS 39713 688 82 of of IN 39713 688 83 this this DT 39713 688 84 series series NN 39713 688 85 being be VBG 39713 688 86 indistinguishable indistinguishable JJ 39713 688 87 from from IN 39713 688 88 one one CD 39713 688 89 of of IN 39713 688 90 the the DT 39713 688 91 elements element NNS 39713 688 92 of of IN 39713 688 93 the the DT 39713 688 94 cut cut NN 39713 688 95 _ _ NNP 39713 688 96 . . . 39713 689 1 On on IN 39713 689 2 the the DT 39713 689 3 contrary contrary NN 39713 689 4 , , , 39713 689 5 it -PRON- PRP 39713 689 6 may may MD 39713 689 7 happen happen VB 39713 689 8 that that IN 39713 689 9 the the DT 39713 689 10 cut cut NN 39713 689 11 made make VBN 39713 689 12 is be VBZ 39713 689 13 insufficient insufficient JJ 39713 689 14 to to TO 39713 689 15 subdivide subdivide VB 39713 689 16 the the DT 39713 689 17 continuum continuum JJ 39713 689 18 _ _ NNP 39713 689 19 C C NNP 39713 689 20 _ _ NNP 39713 689 21 . . . 39713 690 1 To to TO 39713 690 2 classify classify VB 39713 690 3 the the DT 39713 690 4 physical physical JJ 39713 690 5 continua continua NN 39713 690 6 , , , 39713 690 7 we -PRON- PRP 39713 690 8 will will MD 39713 690 9 examine examine VB 39713 690 10 precisely precisely RB 39713 690 11 what what WP 39713 690 12 are be VBP 39713 690 13 the the DT 39713 690 14 cuts cut NNS 39713 690 15 which which WDT 39713 690 16 must must MD 39713 690 17 be be VB 39713 690 18 made make VBN 39713 690 19 to to TO 39713 690 20 subdivide subdivide VB 39713 690 21 them -PRON- PRP 39713 690 22 . . . 39713 691 1 If if IN 39713 691 2 a a DT 39713 691 3 physical physical JJ 39713 691 4 continuum continuum NN 39713 691 5 _ _ NNP 39713 691 6 C C NNP 39713 691 7 _ _ NNP 39713 691 8 can can MD 39713 691 9 be be VB 39713 691 10 subdivided subdivide VBN 39713 691 11 by by IN 39713 691 12 a a DT 39713 691 13 cut cut NN 39713 691 14 reducing reduce VBG 39713 691 15 to to IN 39713 691 16 a a DT 39713 691 17 finite finite JJ 39713 691 18 number number NN 39713 691 19 of of IN 39713 691 20 elements element NNS 39713 691 21 all all RB 39713 691 22 distinguishable distinguishable JJ 39713 691 23 from from IN 39713 691 24 one one CD 39713 691 25 another another DT 39713 691 26 ( ( -LRB- 39713 691 27 and and CC 39713 691 28 consequently consequently RB 39713 691 29 forming form VBG 39713 691 30 neither neither CC 39713 691 31 a a DT 39713 691 32 continuum continuum NN 39713 691 33 , , , 39713 691 34 nor nor CC 39713 691 35 several several JJ 39713 691 36 continua continua NN 39713 691 37 ) ) -RRB- 39713 691 38 , , , 39713 691 39 we -PRON- PRP 39713 691 40 shall shall MD 39713 691 41 say say VB 39713 691 42 _ _ NNP 39713 691 43 C C NNP 39713 691 44 _ _ NNP 39713 691 45 is be VBZ 39713 691 46 a a DT 39713 691 47 _ _ NNP 39713 691 48 one one CD 39713 691 49 - - HYPH 39713 691 50 dimensional dimensional JJ 39713 691 51 _ _ NNP 39713 691 52 continuum continuum NN 39713 691 53 . . . 39713 692 1 If if IN 39713 692 2 , , , 39713 692 3 on on IN 39713 692 4 the the DT 39713 692 5 contrary contrary NN 39713 692 6 , , , 39713 692 7 _ _ NNP 39713 692 8 C C NNP 39713 692 9 _ _ NNP 39713 692 10 can can MD 39713 692 11 be be VB 39713 692 12 subdivided subdivide VBN 39713 692 13 only only RB 39713 692 14 by by IN 39713 692 15 cuts cut NNS 39713 692 16 which which WDT 39713 692 17 are be VBP 39713 692 18 themselves -PRON- PRP 39713 692 19 continua continua JJ 39713 692 20 , , , 39713 692 21 we -PRON- PRP 39713 692 22 shall shall MD 39713 692 23 say say VB 39713 692 24 _ _ NNP 39713 692 25 C C NNP 39713 692 26 _ _ NNP 39713 692 27 has have VBZ 39713 692 28 several several JJ 39713 692 29 dimensions dimension NNS 39713 692 30 . . . 39713 693 1 If if IN 39713 693 2 cuts cut NNS 39713 693 3 which which WDT 39713 693 4 are be VBP 39713 693 5 continua continua NN 39713 693 6 of of IN 39713 693 7 one one CD 39713 693 8 dimension dimension NN 39713 693 9 suffice suffice NN 39713 693 10 , , , 39713 693 11 we -PRON- PRP 39713 693 12 shall shall MD 39713 693 13 say say VB 39713 693 14 _ _ NNP 39713 693 15 C C NNP 39713 693 16 _ _ NNP 39713 693 17 has have VBZ 39713 693 18 two two CD 39713 693 19 dimensions dimension NNS 39713 693 20 ; ; : 39713 693 21 if if IN 39713 693 22 cuts cut NNS 39713 693 23 of of IN 39713 693 24 two two CD 39713 693 25 dimensions dimension NNS 39713 693 26 suffice suffice VBP 39713 693 27 , , , 39713 693 28 we -PRON- PRP 39713 693 29 shall shall MD 39713 693 30 say say VB 39713 693 31 _ _ NNP 39713 693 32 C C NNP 39713 693 33 _ _ NNP 39713 693 34 has have VBZ 39713 693 35 three three CD 39713 693 36 dimensions dimension NNS 39713 693 37 , , , 39713 693 38 and and CC 39713 693 39 so so RB 39713 693 40 on on RB 39713 693 41 . . . 39713 694 1 Thus thus RB 39713 694 2 is be VBZ 39713 694 3 defined define VBN 39713 694 4 the the DT 39713 694 5 notion notion NN 39713 694 6 of of IN 39713 694 7 the the DT 39713 694 8 physical physical JJ 39713 694 9 continuum continuum NN 39713 694 10 of of IN 39713 694 11 several several JJ 39713 694 12 dimensions dimension NNS 39713 694 13 , , , 39713 694 14 thanks thank NNS 39713 694 15 to to IN 39713 694 16 this this DT 39713 694 17 very very RB 39713 694 18 simple simple JJ 39713 694 19 fact fact NN 39713 694 20 that that IN 39713 694 21 two two CD 39713 694 22 aggregates aggregate NNS 39713 694 23 of of IN 39713 694 24 sensations sensation NNS 39713 694 25 are be VBP 39713 694 26 distinguishable distinguishable JJ 39713 694 27 or or CC 39713 694 28 indistinguishable indistinguishable JJ 39713 694 29 . . . 39713 695 1 THE the DT 39713 695 2 MATHEMATICAL MATHEMATICAL NNP 39713 695 3 CONTINUUM CONTINUUM NNS 39713 695 4 OF of IN 39713 695 5 SEVERAL several JJ 39713 695 6 DIMENSIONS.--Thence dimensions.--thence NN 39713 695 7 the the DT 39713 695 8 notion notion NN 39713 695 9 of of IN 39713 695 10 the the DT 39713 695 11 mathematical mathematical JJ 39713 695 12 continuum continuum NN 39713 695 13 of of IN 39713 695 14 _ _ NNP 39713 695 15 n n CC 39713 695 16 _ _ NNP 39713 695 17 dimensions dimension NNS 39713 695 18 has have VBZ 39713 695 19 sprung spring VBN 39713 695 20 quite quite RB 39713 695 21 naturally naturally RB 39713 695 22 by by IN 39713 695 23 a a DT 39713 695 24 process process NN 39713 695 25 very very RB 39713 695 26 like like IN 39713 695 27 that that IN 39713 695 28 we -PRON- PRP 39713 695 29 discussed discuss VBD 39713 695 30 at at IN 39713 695 31 the the DT 39713 695 32 beginning beginning NN 39713 695 33 of of IN 39713 695 34 this this DT 39713 695 35 chapter chapter NN 39713 695 36 . . . 39713 696 1 A a DT 39713 696 2 point point NN 39713 696 3 of of IN 39713 696 4 such such PDT 39713 696 5 a a DT 39713 696 6 continuum continuum NN 39713 696 7 , , , 39713 696 8 you -PRON- PRP 39713 696 9 know know VBP 39713 696 10 , , , 39713 696 11 appears appear VBZ 39713 696 12 to to IN 39713 696 13 us -PRON- PRP 39713 696 14 as as IN 39713 696 15 defined define VBN 39713 696 16 by by IN 39713 696 17 a a DT 39713 696 18 system system NN 39713 696 19 of of IN 39713 696 20 _ _ NNP 39713 696 21 n n CC 39713 696 22 _ _ NNP 39713 696 23 distinct distinct JJ 39713 696 24 magnitudes magnitude NNS 39713 696 25 called call VBD 39713 696 26 its -PRON- PRP$ 39713 696 27 coordinates coordinate NNS 39713 696 28 . . . 39713 697 1 These these DT 39713 697 2 magnitudes magnitude NNS 39713 697 3 need need VBP 39713 697 4 not not RB 39713 697 5 always always RB 39713 697 6 be be VB 39713 697 7 measurable measurable JJ 39713 697 8 ; ; : 39713 697 9 there there EX 39713 697 10 is be VBZ 39713 697 11 , , , 39713 697 12 for for IN 39713 697 13 instance instance NN 39713 697 14 , , , 39713 697 15 a a DT 39713 697 16 branch branch NN 39713 697 17 of of IN 39713 697 18 geometry geometry NN 39713 697 19 independent independent JJ 39713 697 20 of of IN 39713 697 21 the the DT 39713 697 22 measurement measurement NN 39713 697 23 of of IN 39713 697 24 these these DT 39713 697 25 magnitudes magnitude NNS 39713 697 26 , , , 39713 697 27 in in IN 39713 697 28 which which WDT 39713 697 29 it -PRON- PRP 39713 697 30 is be VBZ 39713 697 31 only only RB 39713 697 32 a a DT 39713 697 33 question question NN 39713 697 34 of of IN 39713 697 35 knowing know VBG 39713 697 36 , , , 39713 697 37 for for IN 39713 697 38 example example NN 39713 697 39 , , , 39713 697 40 whether whether IN 39713 697 41 on on IN 39713 697 42 a a DT 39713 697 43 curve curve NN 39713 697 44 _ _ NNP 39713 697 45 ABC ABC NNP 39713 697 46 _ _ NNP 39713 697 47 , , , 39713 697 48 the the DT 39713 697 49 point point NN 39713 697 50 _ _ NNP 39713 697 51 B B NNP 39713 697 52 _ _ NNP 39713 697 53 is be VBZ 39713 697 54 between between IN 39713 697 55 the the DT 39713 697 56 points point NNS 39713 697 57 _ _ NNP 39713 697 58 A A NNP 39713 697 59 _ _ NNP 39713 697 60 and and CC 39713 697 61 _ _ NNP 39713 697 62 C C NNP 39713 697 63 _ _ NNP 39713 697 64 , , , 39713 697 65 and and CC 39713 697 66 not not RB 39713 697 67 of of IN 39713 697 68 knowing know VBG 39713 697 69 whether whether IN 39713 697 70 the the DT 39713 697 71 arc arc NN 39713 697 72 _ _ NNP 39713 697 73 AB AB NNP 39713 697 74 _ _ NNP 39713 697 75 is be VBZ 39713 697 76 equal equal JJ 39713 697 77 to to IN 39713 697 78 the the DT 39713 697 79 arc arc NN 39713 697 80 _ _ NNP 39713 697 81 BC BC NNP 39713 697 82 _ _ NNP 39713 697 83 or or CC 39713 697 84 twice twice RB 39713 697 85 as as RB 39713 697 86 great great JJ 39713 697 87 . . . 39713 698 1 This this DT 39713 698 2 is be VBZ 39713 698 3 what what WP 39713 698 4 is be VBZ 39713 698 5 called call VBN 39713 698 6 _ _ NNP 39713 698 7 Analysis Analysis NNP 39713 698 8 Situs Situs NNP 39713 698 9 _ _ NNP 39713 698 10 . . . 39713 699 1 This this DT 39713 699 2 is be VBZ 39713 699 3 a a DT 39713 699 4 whole whole JJ 39713 699 5 body body NN 39713 699 6 of of IN 39713 699 7 doctrine doctrine NN 39713 699 8 which which WDT 39713 699 9 has have VBZ 39713 699 10 attracted attract VBN 39713 699 11 the the DT 39713 699 12 attention attention NN 39713 699 13 of of IN 39713 699 14 the the DT 39713 699 15 greatest great JJS 39713 699 16 geometers geometer NNS 39713 699 17 and and CC 39713 699 18 where where WRB 39713 699 19 we -PRON- PRP 39713 699 20 see see VBP 39713 699 21 flow flow VBP 39713 699 22 one one CD 39713 699 23 from from IN 39713 699 24 another another DT 39713 699 25 a a DT 39713 699 26 series series NN 39713 699 27 of of IN 39713 699 28 remarkable remarkable JJ 39713 699 29 theorems theorem NNS 39713 699 30 . . . 39713 700 1 What what WP 39713 700 2 distinguishes distinguish VBZ 39713 700 3 these these DT 39713 700 4 theorems theorem NNS 39713 700 5 from from IN 39713 700 6 those those DT 39713 700 7 of of IN 39713 700 8 ordinary ordinary JJ 39713 700 9 geometry geometry NN 39713 700 10 is be VBZ 39713 700 11 that that IN 39713 700 12 they -PRON- PRP 39713 700 13 are be VBP 39713 700 14 purely purely RB 39713 700 15 qualitative qualitative JJ 39713 700 16 and and CC 39713 700 17 that that IN 39713 700 18 they -PRON- PRP 39713 700 19 would would MD 39713 700 20 remain remain VB 39713 700 21 true true JJ 39713 700 22 if if IN 39713 700 23 the the DT 39713 700 24 figures figure NNS 39713 700 25 were be VBD 39713 700 26 copied copy VBN 39713 700 27 by by IN 39713 700 28 a a DT 39713 700 29 draughtsman draughtsman NN 39713 700 30 so so RB 39713 700 31 awkward awkward RB 39713 700 32 as as IN 39713 700 33 to to TO 39713 700 34 grossly grossly RB 39713 700 35 distort distort VB 39713 700 36 the the DT 39713 700 37 proportions proportion NNS 39713 700 38 and and CC 39713 700 39 replace replace VB 39713 700 40 straights straight NNS 39713 700 41 by by IN 39713 700 42 strokes stroke NNS 39713 700 43 more more RBR 39713 700 44 or or CC 39713 700 45 less less RBR 39713 700 46 curved curved JJ 39713 700 47 . . . 39713 701 1 Through through IN 39713 701 2 the the DT 39713 701 3 wish wish NN 39713 701 4 to to TO 39713 701 5 introduce introduce VB 39713 701 6 measure measure NN 39713 701 7 next next RB 39713 701 8 into into IN 39713 701 9 the the DT 39713 701 10 continuum continuum NN 39713 701 11 just just RB 39713 701 12 defined define VBN 39713 701 13 this this DT 39713 701 14 continuum continuum NN 39713 701 15 becomes become VBZ 39713 701 16 space space NN 39713 701 17 , , , 39713 701 18 and and CC 39713 701 19 geometry geometry NN 39713 701 20 is be VBZ 39713 701 21 born bear VBN 39713 701 22 . . . 39713 702 1 But but CC 39713 702 2 the the DT 39713 702 3 discussion discussion NN 39713 702 4 of of IN 39713 702 5 this this DT 39713 702 6 is be VBZ 39713 702 7 reserved reserve VBN 39713 702 8 for for IN 39713 702 9 Part Part NNP 39713 702 10 Second Second NNP 39713 702 11 . . . 39713 703 1 PART PART NNP 39713 703 2 II II NNP 39713 703 3 SPACE space NN 39713 703 4 CHAPTER chapter NN 39713 703 5 III III NNP 39713 703 6 THE the DT 39713 703 7 NON NON NNP 39713 703 8 - - HYPH 39713 703 9 EUCLIDEAN euclidean NN 39713 703 10 GEOMETRIES geometry NNS 39713 703 11 Every every DT 39713 703 12 conclusion conclusion NN 39713 703 13 supposes suppose VBZ 39713 703 14 premises premise NNS 39713 703 15 ; ; : 39713 703 16 these these DT 39713 703 17 premises premise NNS 39713 703 18 themselves -PRON- PRP 39713 703 19 either either CC 39713 703 20 are be VBP 39713 703 21 self self NN 39713 703 22 - - HYPH 39713 703 23 evident evident JJ 39713 703 24 and and CC 39713 703 25 need need VBP 39713 703 26 no no DT 39713 703 27 demonstration demonstration NN 39713 703 28 , , , 39713 703 29 or or CC 39713 703 30 can can MD 39713 703 31 be be VB 39713 703 32 established establish VBN 39713 703 33 only only RB 39713 703 34 by by IN 39713 703 35 relying rely VBG 39713 703 36 upon upon IN 39713 703 37 other other JJ 39713 703 38 propositions proposition NNS 39713 703 39 , , , 39713 703 40 and and CC 39713 703 41 since since IN 39713 703 42 we -PRON- PRP 39713 703 43 can can MD 39713 703 44 not not RB 39713 703 45 go go VB 39713 703 46 back back RB 39713 703 47 thus thus RB 39713 703 48 to to IN 39713 703 49 infinity infinity NN 39713 703 50 , , , 39713 703 51 every every DT 39713 703 52 deductive deductive JJ 39713 703 53 science science NN 39713 703 54 , , , 39713 703 55 and and CC 39713 703 56 in in IN 39713 703 57 particular particular JJ 39713 703 58 geometry geometry NN 39713 703 59 , , , 39713 703 60 must must MD 39713 703 61 rest rest VB 39713 703 62 on on IN 39713 703 63 a a DT 39713 703 64 certain certain JJ 39713 703 65 number number NN 39713 703 66 of of IN 39713 703 67 undemonstrable undemonstrable JJ 39713 703 68 axioms axiom NNS 39713 703 69 . . . 39713 704 1 All all DT 39713 704 2 treatises treatise NNS 39713 704 3 on on IN 39713 704 4 geometry geometry NN 39713 704 5 begin begin VBP 39713 704 6 , , , 39713 704 7 therefore therefore RB 39713 704 8 , , , 39713 704 9 by by IN 39713 704 10 the the DT 39713 704 11 enunciation enunciation NN 39713 704 12 of of IN 39713 704 13 these these DT 39713 704 14 axioms axiom NNS 39713 704 15 . . . 39713 705 1 But but CC 39713 705 2 among among IN 39713 705 3 these these DT 39713 705 4 there there EX 39713 705 5 is be VBZ 39713 705 6 a a DT 39713 705 7 distinction distinction NN 39713 705 8 to to TO 39713 705 9 be be VB 39713 705 10 made make VBN 39713 705 11 : : : 39713 705 12 Some some DT 39713 705 13 , , , 39713 705 14 for for IN 39713 705 15 example example NN 39713 705 16 , , , 39713 705 17 ' ' '' 39713 705 18 Things thing NNS 39713 705 19 which which WDT 39713 705 20 are be VBP 39713 705 21 equal equal JJ 39713 705 22 to to IN 39713 705 23 the the DT 39713 705 24 same same JJ 39713 705 25 thing thing NN 39713 705 26 are be VBP 39713 705 27 equal equal JJ 39713 705 28 to to IN 39713 705 29 one one CD 39713 705 30 another another DT 39713 705 31 , , , 39713 705 32 ' ' `` 39713 705 33 are be VBP 39713 705 34 not not RB 39713 705 35 propositions proposition NNS 39713 705 36 of of IN 39713 705 37 geometry geometry NN 39713 705 38 , , , 39713 705 39 but but CC 39713 705 40 propositions proposition NNS 39713 705 41 of of IN 39713 705 42 analysis analysis NN 39713 705 43 . . . 39713 706 1 I -PRON- PRP 39713 706 2 regard regard VBP 39713 706 3 them -PRON- PRP 39713 706 4 as as IN 39713 706 5 analytic analytic JJ 39713 706 6 judgments judgment NNS 39713 706 7 _ _ NNP 39713 706 8 a a DT 39713 706 9 priori priori FW 39713 706 10 _ _ NNP 39713 706 11 , , , 39713 706 12 and and CC 39713 706 13 shall shall MD 39713 706 14 not not RB 39713 706 15 concern concern VB 39713 706 16 myself -PRON- PRP 39713 706 17 with with IN 39713 706 18 them -PRON- PRP 39713 706 19 . . . 39713 707 1 But but CC 39713 707 2 I -PRON- PRP 39713 707 3 must must MD 39713 707 4 lay lay VB 39713 707 5 stress stress NN 39713 707 6 upon upon IN 39713 707 7 other other JJ 39713 707 8 axioms axiom NNS 39713 707 9 which which WDT 39713 707 10 are be VBP 39713 707 11 peculiar peculiar JJ 39713 707 12 to to TO 39713 707 13 geometry geometry VB 39713 707 14 . . . 39713 708 1 Most Most JJS 39713 708 2 treatises treatise NNS 39713 708 3 enunciate enunciate VBP 39713 708 4 three three CD 39713 708 5 of of IN 39713 708 6 these these DT 39713 708 7 explicitly explicitly RB 39713 708 8 : : : 39713 708 9 1º 1º CD 39713 708 10 Through through IN 39713 708 11 two two CD 39713 708 12 points point NNS 39713 708 13 can can MD 39713 708 14 pass pass VB 39713 708 15 only only RB 39713 708 16 one one CD 39713 708 17 straight straight RB 39713 708 18 ; ; : 39713 708 19 2º 2º CD 39713 708 20 The the DT 39713 708 21 straight straight JJ 39713 708 22 line line NN 39713 708 23 is be VBZ 39713 708 24 the the DT 39713 708 25 shortest short JJS 39713 708 26 path path NN 39713 708 27 from from IN 39713 708 28 one one CD 39713 708 29 point point NN 39713 708 30 to to IN 39713 708 31 another another DT 39713 708 32 ; ; : 39713 708 33 3º 3º NN 39713 708 34 Through through IN 39713 708 35 a a DT 39713 708 36 given give VBN 39713 708 37 point point NN 39713 708 38 there there EX 39713 708 39 is be VBZ 39713 708 40 not not RB 39713 708 41 more more JJR 39713 708 42 than than IN 39713 708 43 one one CD 39713 708 44 parallel parallel NN 39713 708 45 to to IN 39713 708 46 a a DT 39713 708 47 given give VBN 39713 708 48 straight straight NN 39713 708 49 . . . 39713 709 1 Although although IN 39713 709 2 generally generally RB 39713 709 3 a a DT 39713 709 4 proof proof NN 39713 709 5 of of IN 39713 709 6 the the DT 39713 709 7 second second JJ 39713 709 8 of of IN 39713 709 9 these these DT 39713 709 10 axioms axiom NNS 39713 709 11 is be VBZ 39713 709 12 omitted omit VBN 39713 709 13 , , , 39713 709 14 it -PRON- PRP 39713 709 15 would would MD 39713 709 16 be be VB 39713 709 17 possible possible JJ 39713 709 18 to to TO 39713 709 19 deduce deduce VB 39713 709 20 it -PRON- PRP 39713 709 21 from from IN 39713 709 22 the the DT 39713 709 23 other other JJ 39713 709 24 two two CD 39713 709 25 and and CC 39713 709 26 from from IN 39713 709 27 those those DT 39713 709 28 , , , 39713 709 29 much much RB 39713 709 30 more more RBR 39713 709 31 numerous numerous JJ 39713 709 32 , , , 39713 709 33 which which WDT 39713 709 34 are be VBP 39713 709 35 implicitly implicitly RB 39713 709 36 admitted admit VBN 39713 709 37 without without IN 39713 709 38 enunciating enunciate VBG 39713 709 39 them -PRON- PRP 39713 709 40 , , , 39713 709 41 as as IN 39713 709 42 I -PRON- PRP 39713 709 43 shall shall MD 39713 709 44 explain explain VB 39713 709 45 further further RB 39713 709 46 on on RB 39713 709 47 . . . 39713 710 1 It -PRON- PRP 39713 710 2 was be VBD 39713 710 3 long long RB 39713 710 4 sought seek VBN 39713 710 5 in in IN 39713 710 6 vain vain JJ 39713 710 7 to to TO 39713 710 8 demonstrate demonstrate VB 39713 710 9 likewise likewise RB 39713 710 10 the the DT 39713 710 11 third third JJ 39713 710 12 axiom axiom NN 39713 710 13 , , , 39713 710 14 known know VBN 39713 710 15 as as IN 39713 710 16 _ _ NNP 39713 710 17 Euclid Euclid NNP 39713 710 18 's 's POS 39713 710 19 Postulate Postulate NNP 39713 710 20 _ _ NNP 39713 710 21 . . . 39713 711 1 What what WP 39713 711 2 vast vast JJ 39713 711 3 effort effort NN 39713 711 4 has have VBZ 39713 711 5 been be VBN 39713 711 6 wasted waste VBN 39713 711 7 in in IN 39713 711 8 this this DT 39713 711 9 chimeric chimeric JJ 39713 711 10 hope hope NN 39713 711 11 is be VBZ 39713 711 12 truly truly RB 39713 711 13 unimaginable unimaginable JJ 39713 711 14 . . . 39713 712 1 Finally finally RB 39713 712 2 , , , 39713 712 3 in in IN 39713 712 4 the the DT 39713 712 5 first first JJ 39713 712 6 quarter quarter NN 39713 712 7 of of IN 39713 712 8 the the DT 39713 712 9 nineteenth nineteenth JJ 39713 712 10 century century NN 39713 712 11 , , , 39713 712 12 and and CC 39713 712 13 almost almost RB 39713 712 14 at at IN 39713 712 15 the the DT 39713 712 16 same same JJ 39713 712 17 time time NN 39713 712 18 , , , 39713 712 19 a a DT 39713 712 20 Hungarian hungarian JJ 39713 712 21 and and CC 39713 712 22 a a DT 39713 712 23 Russian Russian NNP 39713 712 24 , , , 39713 712 25 Bolyai Bolyai NNP 39713 712 26 and and CC 39713 712 27 Lobachevski Lobachevski NNP 39713 712 28 , , , 39713 712 29 established establish VBD 39713 712 30 irrefutably irrefutably RB 39713 712 31 that that IN 39713 712 32 this this DT 39713 712 33 demonstration demonstration NN 39713 712 34 is be VBZ 39713 712 35 impossible impossible JJ 39713 712 36 ; ; : 39713 712 37 they -PRON- PRP 39713 712 38 have have VBP 39713 712 39 almost almost RB 39713 712 40 rid rid VBN 39713 712 41 us -PRON- PRP 39713 712 42 of of IN 39713 712 43 inventors inventor NNS 39713 712 44 of of IN 39713 712 45 geometries geometry NNS 39713 712 46 ' ' POS 39713 712 47 sans san NNS 39713 712 48 postulatum postulatum NN 39713 712 49 ' ' '' 39713 712 50 ; ; : 39713 712 51 since since IN 39713 712 52 then then RB 39713 712 53 the the DT 39713 712 54 Académie Académie NNP 39713 712 55 des des NNP 39713 712 56 Sciences Sciences NNP 39713 712 57 receives receive VBZ 39713 712 58 only only RB 39713 712 59 about about RB 39713 712 60 one one CD 39713 712 61 or or CC 39713 712 62 two two CD 39713 712 63 new new JJ 39713 712 64 demonstrations demonstration NNS 39713 712 65 a a DT 39713 712 66 year year NN 39713 712 67 . . . 39713 713 1 The the DT 39713 713 2 question question NN 39713 713 3 was be VBD 39713 713 4 not not RB 39713 713 5 exhausted exhausted JJ 39713 713 6 ; ; : 39713 713 7 it -PRON- PRP 39713 713 8 soon soon RB 39713 713 9 made make VBD 39713 713 10 a a DT 39713 713 11 great great JJ 39713 713 12 stride stride NN 39713 713 13 by by IN 39713 713 14 the the DT 39713 713 15 publication publication NN 39713 713 16 of of IN 39713 713 17 Riemann Riemann NNP 39713 713 18 's 's POS 39713 713 19 celebrated celebrated JJ 39713 713 20 memoir memoir NN 39713 713 21 entitled entitle VBN 39713 713 22 : : : 39713 713 23 _ _ NNP 39713 713 24 Ueber Ueber NNP 39713 713 25 die die VB 39713 713 26 Hypothesen Hypothesen NNP 39713 713 27 welche welche NNP 39713 713 28 der der NN 39713 713 29 Geometrie Geometrie NNP 39713 713 30 zu zu NNP 39713 713 31 Grunde Grunde NNP 39713 713 32 liegen liegen NNP 39713 713 33 _ _ NNP 39713 713 34 . . . 39713 714 1 This this DT 39713 714 2 paper paper NN 39713 714 3 has have VBZ 39713 714 4 inspired inspire VBN 39713 714 5 most most JJS 39713 714 6 of of IN 39713 714 7 the the DT 39713 714 8 recent recent JJ 39713 714 9 works work NNS 39713 714 10 of of IN 39713 714 11 which which WDT 39713 714 12 I -PRON- PRP 39713 714 13 shall shall MD 39713 714 14 speak speak VB 39713 714 15 further further RB 39713 714 16 on on RB 39713 714 17 , , , 39713 714 18 and and CC 39713 714 19 among among IN 39713 714 20 which which WDT 39713 714 21 it -PRON- PRP 39713 714 22 is be VBZ 39713 714 23 proper proper JJ 39713 714 24 to to TO 39713 714 25 cite cite VB 39713 714 26 those those DT 39713 714 27 of of IN 39713 714 28 Beltrami Beltrami NNP 39713 714 29 and and CC 39713 714 30 of of IN 39713 714 31 Helmholtz Helmholtz NNP 39713 714 32 . . . 39713 715 1 THE the DT 39713 715 2 BOLYAI BOLYAI NNP 39713 715 3 - - HYPH 39713 715 4 LOBACHEVSKI LOBACHEVSKI NNP 39713 715 5 GEOMETRY.--If GEOMETRY.--If NNP 39713 715 6 it -PRON- PRP 39713 715 7 were be VBD 39713 715 8 possible possible JJ 39713 715 9 to to TO 39713 715 10 deduce deduce VB 39713 715 11 Euclid Euclid NNP 39713 715 12 's 's POS 39713 715 13 postulate postulate NN 39713 715 14 from from IN 39713 715 15 the the DT 39713 715 16 other other JJ 39713 715 17 axioms axiom NNS 39713 715 18 , , , 39713 715 19 it -PRON- PRP 39713 715 20 is be VBZ 39713 715 21 evident evident JJ 39713 715 22 that that IN 39713 715 23 in in IN 39713 715 24 denying deny VBG 39713 715 25 the the DT 39713 715 26 postulate postulate NN 39713 715 27 and and CC 39713 715 28 admitting admit VBG 39713 715 29 the the DT 39713 715 30 other other JJ 39713 715 31 axioms axiom NNS 39713 715 32 , , , 39713 715 33 we -PRON- PRP 39713 715 34 should should MD 39713 715 35 be be VB 39713 715 36 led lead VBN 39713 715 37 to to IN 39713 715 38 contradictory contradictory JJ 39713 715 39 consequences consequence NNS 39713 715 40 ; ; : 39713 715 41 it -PRON- PRP 39713 715 42 would would MD 39713 715 43 therefore therefore RB 39713 715 44 be be VB 39713 715 45 impossible impossible JJ 39713 715 46 to to TO 39713 715 47 base base VB 39713 715 48 on on IN 39713 715 49 such such JJ 39713 715 50 premises premise NNS 39713 715 51 a a DT 39713 715 52 coherent coherent JJ 39713 715 53 geometry geometry NN 39713 715 54 . . . 39713 716 1 Now now RB 39713 716 2 this this DT 39713 716 3 is be VBZ 39713 716 4 precisely precisely RB 39713 716 5 what what WP 39713 716 6 Lobachevski Lobachevski NNP 39713 716 7 did do VBD 39713 716 8 . . . 39713 717 1 He -PRON- PRP 39713 717 2 assumes assume VBZ 39713 717 3 at at IN 39713 717 4 the the DT 39713 717 5 start start NN 39713 717 6 that that WDT 39713 717 7 : : : 39713 717 8 _ _ XX 39713 717 9 Through through IN 39713 717 10 a a DT 39713 717 11 given give VBN 39713 717 12 point point NN 39713 717 13 can can MD 39713 717 14 be be VB 39713 717 15 drawn draw VBN 39713 717 16 two two CD 39713 717 17 parallels parallel NNS 39713 717 18 to to IN 39713 717 19 a a DT 39713 717 20 given give VBN 39713 717 21 straight straight JJ 39713 717 22 _ _ NNP 39713 717 23 . . . 39713 718 1 And and CC 39713 718 2 he -PRON- PRP 39713 718 3 retains retain VBZ 39713 718 4 besides besides IN 39713 718 5 all all DT 39713 718 6 Euclid Euclid NNP 39713 718 7 's 's POS 39713 718 8 other other JJ 39713 718 9 axioms axiom NNS 39713 718 10 . . . 39713 719 1 From from IN 39713 719 2 these these DT 39713 719 3 hypotheses hypothesis NNS 39713 719 4 he -PRON- PRP 39713 719 5 deduces deduce VBZ 39713 719 6 a a DT 39713 719 7 series series NN 39713 719 8 of of IN 39713 719 9 theorems theorem NNS 39713 719 10 among among IN 39713 719 11 which which WDT 39713 719 12 it -PRON- PRP 39713 719 13 is be VBZ 39713 719 14 impossible impossible JJ 39713 719 15 to to TO 39713 719 16 find find VB 39713 719 17 any any DT 39713 719 18 contradiction contradiction NN 39713 719 19 , , , 39713 719 20 and and CC 39713 719 21 he -PRON- PRP 39713 719 22 constructs construct VBZ 39713 719 23 a a DT 39713 719 24 geometry geometry NN 39713 719 25 whose whose WP$ 39713 719 26 faultless faultless JJ 39713 719 27 logic logic NN 39713 719 28 is be VBZ 39713 719 29 inferior inferior JJ 39713 719 30 in in IN 39713 719 31 nothing nothing NN 39713 719 32 to to IN 39713 719 33 that that DT 39713 719 34 of of IN 39713 719 35 the the DT 39713 719 36 Euclidean euclidean JJ 39713 719 37 geometry geometry NN 39713 719 38 . . . 39713 720 1 The the DT 39713 720 2 theorems theorem NNS 39713 720 3 are be VBP 39713 720 4 , , , 39713 720 5 of of IN 39713 720 6 course course NN 39713 720 7 , , , 39713 720 8 very very RB 39713 720 9 different different JJ 39713 720 10 from from IN 39713 720 11 those those DT 39713 720 12 to to TO 39713 720 13 which which WDT 39713 720 14 we -PRON- PRP 39713 720 15 are be VBP 39713 720 16 accustomed accustomed JJ 39713 720 17 , , , 39713 720 18 and and CC 39713 720 19 they -PRON- PRP 39713 720 20 can can MD 39713 720 21 not not RB 39713 720 22 fail fail VB 39713 720 23 to to TO 39713 720 24 be be VB 39713 720 25 at at IN 39713 720 26 first first RB 39713 720 27 a a DT 39713 720 28 little little JJ 39713 720 29 disconcerting disconcerting NN 39713 720 30 . . . 39713 721 1 Thus thus RB 39713 721 2 the the DT 39713 721 3 sum sum NN 39713 721 4 of of IN 39713 721 5 the the DT 39713 721 6 angles angle NNS 39713 721 7 of of IN 39713 721 8 a a DT 39713 721 9 triangle triangle NN 39713 721 10 is be VBZ 39713 721 11 always always RB 39713 721 12 less less JJR 39713 721 13 than than IN 39713 721 14 two two CD 39713 721 15 right right JJ 39713 721 16 angles angle NNS 39713 721 17 , , , 39713 721 18 and and CC 39713 721 19 the the DT 39713 721 20 difference difference NN 39713 721 21 between between IN 39713 721 22 this this DT 39713 721 23 sum sum NN 39713 721 24 and and CC 39713 721 25 two two CD 39713 721 26 right right JJ 39713 721 27 angles angle NNS 39713 721 28 is be VBZ 39713 721 29 proportional proportional JJ 39713 721 30 to to IN 39713 721 31 the the DT 39713 721 32 surface surface NN 39713 721 33 of of IN 39713 721 34 the the DT 39713 721 35 triangle triangle NN 39713 721 36 . . . 39713 722 1 It -PRON- PRP 39713 722 2 is be VBZ 39713 722 3 impossible impossible JJ 39713 722 4 to to TO 39713 722 5 construct construct VB 39713 722 6 a a DT 39713 722 7 figure figure NN 39713 722 8 similar similar JJ 39713 722 9 to to IN 39713 722 10 a a DT 39713 722 11 given give VBN 39713 722 12 figure figure NN 39713 722 13 but but CC 39713 722 14 of of IN 39713 722 15 different different JJ 39713 722 16 dimensions dimension NNS 39713 722 17 . . . 39713 723 1 If if IN 39713 723 2 we -PRON- PRP 39713 723 3 divide divide VBP 39713 723 4 a a DT 39713 723 5 circumference circumference NN 39713 723 6 into into IN 39713 723 7 _ _ NNP 39713 723 8 n n CC 39713 723 9 _ _ NNP 39713 723 10 equal equal JJ 39713 723 11 parts part NNS 39713 723 12 , , , 39713 723 13 and and CC 39713 723 14 draw draw VB 39713 723 15 tangents tangent NNS 39713 723 16 at at IN 39713 723 17 the the DT 39713 723 18 points point NNS 39713 723 19 of of IN 39713 723 20 division division NN 39713 723 21 , , , 39713 723 22 these these DT 39713 723 23 _ _ NNP 39713 723 24 n n NNP 39713 723 25 _ _ NNP 39713 723 26 tangents tangent NNS 39713 723 27 will will MD 39713 723 28 form form VB 39713 723 29 a a DT 39713 723 30 polygon polygon NN 39713 723 31 if if IN 39713 723 32 the the DT 39713 723 33 radius radius NN 39713 723 34 of of IN 39713 723 35 the the DT 39713 723 36 circle circle NN 39713 723 37 is be VBZ 39713 723 38 small small JJ 39713 723 39 enough enough RB 39713 723 40 ; ; : 39713 723 41 but but CC 39713 723 42 if if IN 39713 723 43 this this DT 39713 723 44 radius radius NN 39713 723 45 is be VBZ 39713 723 46 sufficiently sufficiently RB 39713 723 47 great great JJ 39713 723 48 they -PRON- PRP 39713 723 49 will will MD 39713 723 50 not not RB 39713 723 51 meet meet VB 39713 723 52 . . . 39713 724 1 It -PRON- PRP 39713 724 2 is be VBZ 39713 724 3 useless useless JJ 39713 724 4 to to TO 39713 724 5 multiply multiply VB 39713 724 6 these these DT 39713 724 7 examples example NNS 39713 724 8 ; ; : 39713 724 9 Lobachevski Lobachevski NNP 39713 724 10 's 's POS 39713 724 11 propositions proposition NNS 39713 724 12 have have VBP 39713 724 13 no no DT 39713 724 14 relation relation NN 39713 724 15 to to IN 39713 724 16 those those DT 39713 724 17 of of IN 39713 724 18 Euclid Euclid NNP 39713 724 19 , , , 39713 724 20 but but CC 39713 724 21 they -PRON- PRP 39713 724 22 are be VBP 39713 724 23 not not RB 39713 724 24 less less RBR 39713 724 25 logically logically RB 39713 724 26 bound bind VBN 39713 724 27 one one CD 39713 724 28 to to IN 39713 724 29 another another DT 39713 724 30 . . . 39713 725 1 RIEMANN RIEMANN NNP 39713 725 2 'S 's POS 39713 725 3 GEOMETRY.--Imagine GEOMETRY.--Imagine NNP 39713 725 4 a a DT 39713 725 5 world world NN 39713 725 6 uniquely uniquely RB 39713 725 7 peopled people VBN 39713 725 8 by by IN 39713 725 9 beings being NNS 39713 725 10 of of IN 39713 725 11 no no DT 39713 725 12 thickness thickness NN 39713 725 13 ( ( -LRB- 39713 725 14 height height NN 39713 725 15 ) ) -RRB- 39713 725 16 ; ; : 39713 725 17 and and CC 39713 725 18 suppose suppose VB 39713 725 19 these these DT 39713 725 20 ' ' `` 39713 725 21 infinitely infinitely RB 39713 725 22 flat flat JJ 39713 725 23 ' ' '' 39713 725 24 animals animal NNS 39713 725 25 are be VBP 39713 725 26 all all RB 39713 725 27 in in IN 39713 725 28 the the DT 39713 725 29 same same JJ 39713 725 30 plane plane NN 39713 725 31 and and CC 39713 725 32 can can MD 39713 725 33 not not RB 39713 725 34 get get VB 39713 725 35 out out RP 39713 725 36 . . . 39713 726 1 Admit admit VB 39713 726 2 besides besides IN 39713 726 3 that that IN 39713 726 4 this this DT 39713 726 5 world world NN 39713 726 6 is be VBZ 39713 726 7 sufficiently sufficiently RB 39713 726 8 far far RB 39713 726 9 from from IN 39713 726 10 others other NNS 39713 726 11 to to TO 39713 726 12 be be VB 39713 726 13 free free JJ 39713 726 14 from from IN 39713 726 15 their -PRON- PRP$ 39713 726 16 influence influence NN 39713 726 17 . . . 39713 727 1 While while IN 39713 727 2 we -PRON- PRP 39713 727 3 are be VBP 39713 727 4 making make VBG 39713 727 5 hypotheses hypothesis NNS 39713 727 6 , , , 39713 727 7 it -PRON- PRP 39713 727 8 costs cost VBZ 39713 727 9 us -PRON- PRP 39713 727 10 no no RB 39713 727 11 more more JJR 39713 727 12 to to TO 39713 727 13 endow endow VB 39713 727 14 these these DT 39713 727 15 beings being NNS 39713 727 16 with with IN 39713 727 17 reason reason NN 39713 727 18 and and CC 39713 727 19 believe believe VB 39713 727 20 them -PRON- PRP 39713 727 21 capable capable JJ 39713 727 22 of of IN 39713 727 23 creating create VBG 39713 727 24 a a DT 39713 727 25 geometry geometry NN 39713 727 26 . . . 39713 728 1 In in IN 39713 728 2 that that DT 39713 728 3 case case NN 39713 728 4 , , , 39713 728 5 they -PRON- PRP 39713 728 6 will will MD 39713 728 7 certainly certainly RB 39713 728 8 attribute attribute VB 39713 728 9 to to IN 39713 728 10 space space NN 39713 728 11 only only RB 39713 728 12 two two CD 39713 728 13 dimensions dimension NNS 39713 728 14 . . . 39713 729 1 But but CC 39713 729 2 suppose suppose VB 39713 729 3 now now RB 39713 729 4 that that IN 39713 729 5 these these DT 39713 729 6 imaginary imaginary JJ 39713 729 7 animals animal NNS 39713 729 8 , , , 39713 729 9 while while IN 39713 729 10 remaining remain VBG 39713 729 11 without without IN 39713 729 12 thickness thickness NN 39713 729 13 , , , 39713 729 14 have have VBP 39713 729 15 the the DT 39713 729 16 form form NN 39713 729 17 of of IN 39713 729 18 a a DT 39713 729 19 spherical spherical JJ 39713 729 20 , , , 39713 729 21 and and CC 39713 729 22 not not RB 39713 729 23 of of IN 39713 729 24 a a DT 39713 729 25 plane plane NN 39713 729 26 , , , 39713 729 27 figure figure NN 39713 729 28 , , , 39713 729 29 and and CC 39713 729 30 are be VBP 39713 729 31 all all RB 39713 729 32 on on IN 39713 729 33 the the DT 39713 729 34 same same JJ 39713 729 35 sphere sphere NN 39713 729 36 without without IN 39713 729 37 power power NN 39713 729 38 to to TO 39713 729 39 get get VB 39713 729 40 off off RP 39713 729 41 . . . 39713 730 1 What what WDT 39713 730 2 geometry geometry NN 39713 730 3 will will MD 39713 730 4 they -PRON- PRP 39713 730 5 construct construct VB 39713 730 6 ? ? . 39713 731 1 First first RB 39713 731 2 it -PRON- PRP 39713 731 3 is be VBZ 39713 731 4 clear clear JJ 39713 731 5 they -PRON- PRP 39713 731 6 will will MD 39713 731 7 attribute attribute VB 39713 731 8 to to IN 39713 731 9 space space NN 39713 731 10 only only RB 39713 731 11 two two CD 39713 731 12 dimensions dimension NNS 39713 731 13 ; ; : 39713 731 14 what what WP 39713 731 15 will will MD 39713 731 16 play play VB 39713 731 17 for for IN 39713 731 18 them -PRON- PRP 39713 731 19 the the DT 39713 731 20 rôle rôle NNS 39713 731 21 of of IN 39713 731 22 the the DT 39713 731 23 straight straight JJ 39713 731 24 line line NN 39713 731 25 will will MD 39713 731 26 be be VB 39713 731 27 the the DT 39713 731 28 shortest short JJS 39713 731 29 path path NN 39713 731 30 from from IN 39713 731 31 one one CD 39713 731 32 point point NN 39713 731 33 to to IN 39713 731 34 another another DT 39713 731 35 on on IN 39713 731 36 the the DT 39713 731 37 sphere sphere NN 39713 731 38 , , , 39713 731 39 that that DT 39713 731 40 is be VBZ 39713 731 41 to to TO 39713 731 42 say say VB 39713 731 43 , , , 39713 731 44 an an DT 39713 731 45 arc arc NN 39713 731 46 of of IN 39713 731 47 a a DT 39713 731 48 great great JJ 39713 731 49 circle circle NN 39713 731 50 ; ; : 39713 731 51 in in IN 39713 731 52 a a DT 39713 731 53 word word NN 39713 731 54 , , , 39713 731 55 their -PRON- PRP$ 39713 731 56 geometry geometry NN 39713 731 57 will will MD 39713 731 58 be be VB 39713 731 59 the the DT 39713 731 60 spherical spherical JJ 39713 731 61 geometry geometry NN 39713 731 62 . . . 39713 732 1 What what WP 39713 732 2 they -PRON- PRP 39713 732 3 will will MD 39713 732 4 call call VB 39713 732 5 space space NN 39713 732 6 will will MD 39713 732 7 be be VB 39713 732 8 this this DT 39713 732 9 sphere sphere NN 39713 732 10 on on IN 39713 732 11 which which WDT 39713 732 12 they -PRON- PRP 39713 732 13 must must MD 39713 732 14 stay stay VB 39713 732 15 , , , 39713 732 16 and and CC 39713 732 17 on on IN 39713 732 18 which which WDT 39713 732 19 happen happen VBP 39713 732 20 all all PDT 39713 732 21 the the DT 39713 732 22 phenomena phenomenon NNS 39713 732 23 they -PRON- PRP 39713 732 24 can can MD 39713 732 25 know know VB 39713 732 26 . . . 39713 733 1 Their -PRON- PRP$ 39713 733 2 space space NN 39713 733 3 will will MD 39713 733 4 therefore therefore RB 39713 733 5 be be VB 39713 733 6 _ _ NNP 39713 733 7 unbounded unbounded JJ 39713 733 8 _ _ NNP 39713 733 9 since since IN 39713 733 10 on on IN 39713 733 11 a a DT 39713 733 12 sphere sphere NN 39713 733 13 one one PRP 39713 733 14 can can MD 39713 733 15 always always RB 39713 733 16 go go VB 39713 733 17 forward forward RB 39713 733 18 without without IN 39713 733 19 ever ever RB 39713 733 20 being be VBG 39713 733 21 stopped stop VBN 39713 733 22 , , , 39713 733 23 and and CC 39713 733 24 yet yet RB 39713 733 25 it -PRON- PRP 39713 733 26 will will MD 39713 733 27 be be VB 39713 733 28 _ _ NNP 39713 733 29 finite finite JJ 39713 733 30 _ _ NNP 39713 733 31 ; ; : 39713 733 32 one one PRP 39713 733 33 can can MD 39713 733 34 never never RB 39713 733 35 find find VB 39713 733 36 the the DT 39713 733 37 end end NN 39713 733 38 of of IN 39713 733 39 it -PRON- PRP 39713 733 40 , , , 39713 733 41 but but CC 39713 733 42 one one PRP 39713 733 43 can can MD 39713 733 44 make make VB 39713 733 45 a a DT 39713 733 46 tour tour NN 39713 733 47 of of IN 39713 733 48 it -PRON- PRP 39713 733 49 . . . 39713 734 1 Well well UH 39713 734 2 , , , 39713 734 3 Riemann Riemann NNP 39713 734 4 's 's POS 39713 734 5 geometry geometry NN 39713 734 6 is be VBZ 39713 734 7 spherical spherical JJ 39713 734 8 geometry geometry NN 39713 734 9 extended extend VBD 39713 734 10 to to IN 39713 734 11 three three CD 39713 734 12 dimensions dimension NNS 39713 734 13 . . . 39713 735 1 To to TO 39713 735 2 construct construct VB 39713 735 3 it -PRON- PRP 39713 735 4 , , , 39713 735 5 the the DT 39713 735 6 German german JJ 39713 735 7 mathematician mathematician NN 39713 735 8 had have VBD 39713 735 9 to to TO 39713 735 10 throw throw VB 39713 735 11 overboard overboard RB 39713 735 12 , , , 39713 735 13 not not RB 39713 735 14 only only RB 39713 735 15 Euclid Euclid NNP 39713 735 16 's 's POS 39713 735 17 postulate postulate NN 39713 735 18 , , , 39713 735 19 but but CC 39713 735 20 also also RB 39713 735 21 the the DT 39713 735 22 first first JJ 39713 735 23 axiom axiom NN 39713 735 24 : : : 39713 735 25 _ _ NNP 39713 735 26 Only only RB 39713 735 27 one one CD 39713 735 28 straight straight NN 39713 735 29 can can MD 39713 735 30 pass pass VB 39713 735 31 through through IN 39713 735 32 two two CD 39713 735 33 points point NNS 39713 735 34 _ _ NNP 39713 735 35 . . . 39713 736 1 On on IN 39713 736 2 a a DT 39713 736 3 sphere sphere NN 39713 736 4 , , , 39713 736 5 through through IN 39713 736 6 two two CD 39713 736 7 given give VBN 39713 736 8 points point NNS 39713 736 9 we -PRON- PRP 39713 736 10 can can MD 39713 736 11 draw draw VB 39713 736 12 _ _ NNP 39713 736 13 in in IN 39713 736 14 general general JJ 39713 736 15 _ _ NNP 39713 736 16 only only RB 39713 736 17 one one CD 39713 736 18 great great JJ 39713 736 19 circle circle NN 39713 736 20 ( ( -LRB- 39713 736 21 which which WDT 39713 736 22 , , , 39713 736 23 as as IN 39713 736 24 we -PRON- PRP 39713 736 25 have have VBP 39713 736 26 just just RB 39713 736 27 seen see VBN 39713 736 28 , , , 39713 736 29 would would MD 39713 736 30 play play VB 39713 736 31 the the DT 39713 736 32 rôle rôle NN 39713 736 33 of of IN 39713 736 34 the the DT 39713 736 35 straight straight NN 39713 736 36 for for IN 39713 736 37 our -PRON- PRP$ 39713 736 38 imaginary imaginary JJ 39713 736 39 beings being NNS 39713 736 40 ) ) -RRB- 39713 736 41 ; ; : 39713 736 42 but but CC 39713 736 43 there there EX 39713 736 44 is be VBZ 39713 736 45 an an DT 39713 736 46 exception exception NN 39713 736 47 : : : 39713 736 48 if if IN 39713 736 49 the the DT 39713 736 50 two two CD 39713 736 51 given give VBN 39713 736 52 points point NNS 39713 736 53 are be VBP 39713 736 54 diametrically diametrically RB 39713 736 55 opposite opposite JJ 39713 736 56 , , , 39713 736 57 an an DT 39713 736 58 infinity infinity NN 39713 736 59 of of IN 39713 736 60 great great JJ 39713 736 61 circles circle NNS 39713 736 62 can can MD 39713 736 63 be be VB 39713 736 64 drawn draw VBN 39713 736 65 through through IN 39713 736 66 them -PRON- PRP 39713 736 67 . . . 39713 737 1 In in IN 39713 737 2 the the DT 39713 737 3 same same JJ 39713 737 4 way way NN 39713 737 5 , , , 39713 737 6 in in IN 39713 737 7 Riemann Riemann NNP 39713 737 8 's 's POS 39713 737 9 geometry geometry NN 39713 737 10 ( ( -LRB- 39713 737 11 at at IN 39713 737 12 least least JJS 39713 737 13 in in IN 39713 737 14 one one CD 39713 737 15 of of IN 39713 737 16 its -PRON- PRP$ 39713 737 17 forms form NNS 39713 737 18 ) ) -RRB- 39713 737 19 , , , 39713 737 20 through through IN 39713 737 21 two two CD 39713 737 22 points point NNS 39713 737 23 will will MD 39713 737 24 pass pass VB 39713 737 25 in in IN 39713 737 26 general general JJ 39713 737 27 only only RB 39713 737 28 a a DT 39713 737 29 single single JJ 39713 737 30 straight straight NN 39713 737 31 ; ; : 39713 737 32 but but CC 39713 737 33 there there EX 39713 737 34 are be VBP 39713 737 35 exceptional exceptional JJ 39713 737 36 cases case NNS 39713 737 37 where where WRB 39713 737 38 through through IN 39713 737 39 two two CD 39713 737 40 points point NNS 39713 737 41 an an DT 39713 737 42 infinity infinity NN 39713 737 43 of of IN 39713 737 44 straights straight NNS 39713 737 45 can can MD 39713 737 46 pass pass VB 39713 737 47 . . . 39713 738 1 There there EX 39713 738 2 is be VBZ 39713 738 3 a a DT 39713 738 4 sort sort NN 39713 738 5 of of IN 39713 738 6 opposition opposition NN 39713 738 7 between between IN 39713 738 8 Riemann Riemann NNP 39713 738 9 's 's POS 39713 738 10 geometry geometry NN 39713 738 11 and and CC 39713 738 12 that that DT 39713 738 13 of of IN 39713 738 14 Lobachevski Lobachevski NNP 39713 738 15 . . . 39713 739 1 Thus thus RB 39713 739 2 the the DT 39713 739 3 sum sum NN 39713 739 4 of of IN 39713 739 5 the the DT 39713 739 6 angles angle NNS 39713 739 7 of of IN 39713 739 8 a a DT 39713 739 9 triangle triangle NN 39713 739 10 is be VBZ 39713 739 11 : : : 39713 739 12 Equal equal JJ 39713 739 13 to to IN 39713 739 14 two two CD 39713 739 15 right right JJ 39713 739 16 angles angle NNS 39713 739 17 in in IN 39713 739 18 Euclid Euclid NNP 39713 739 19 's 's POS 39713 739 20 geometry geometry NN 39713 739 21 ; ; : 39713 739 22 Less Less JJR 39713 739 23 than than IN 39713 739 24 two two CD 39713 739 25 right right JJ 39713 739 26 angles angle NNS 39713 739 27 in in IN 39713 739 28 that that DT 39713 739 29 of of IN 39713 739 30 Lobachevski Lobachevski NNP 39713 739 31 ; ; , 39713 739 32 Greater great JJR 39713 739 33 than than IN 39713 739 34 two two CD 39713 739 35 right right JJ 39713 739 36 angles angle NNS 39713 739 37 in in IN 39713 739 38 that that DT 39713 739 39 of of IN 39713 739 40 Riemann Riemann NNP 39713 739 41 . . . 39713 740 1 The the DT 39713 740 2 number number NN 39713 740 3 of of IN 39713 740 4 straights straight NNS 39713 740 5 through through IN 39713 740 6 a a DT 39713 740 7 given give VBN 39713 740 8 point point NN 39713 740 9 that that WDT 39713 740 10 can can MD 39713 740 11 be be VB 39713 740 12 drawn draw VBN 39713 740 13 coplanar coplanar JJ 39713 740 14 to to IN 39713 740 15 a a DT 39713 740 16 given give VBN 39713 740 17 straight straight NN 39713 740 18 , , , 39713 740 19 but but CC 39713 740 20 nowhere nowhere RB 39713 740 21 meeting meet VBG 39713 740 22 it -PRON- PRP 39713 740 23 , , , 39713 740 24 is be VBZ 39713 740 25 equal equal JJ 39713 740 26 : : : 39713 740 27 To to IN 39713 740 28 one one CD 39713 740 29 in in IN 39713 740 30 Euclid Euclid NNP 39713 740 31 's 's POS 39713 740 32 geometry geometry NN 39713 740 33 ; ; : 39713 740 34 To to IN 39713 740 35 zero zero CD 39713 740 36 in in IN 39713 740 37 that that DT 39713 740 38 of of IN 39713 740 39 Riemann Riemann NNP 39713 740 40 ; ; : 39713 740 41 To to IN 39713 740 42 infinity infinity NN 39713 740 43 in in IN 39713 740 44 that that DT 39713 740 45 of of IN 39713 740 46 Lobachevski Lobachevski NNP 39713 740 47 . . . 39713 741 1 Add add VB 39713 741 2 that that IN 39713 741 3 Riemann Riemann NNP 39713 741 4 's 's POS 39713 741 5 space space NN 39713 741 6 is be VBZ 39713 741 7 finite finite JJ 39713 741 8 , , , 39713 741 9 although although IN 39713 741 10 unbounded unbounded JJ 39713 741 11 , , , 39713 741 12 in in IN 39713 741 13 the the DT 39713 741 14 sense sense NN 39713 741 15 given give VBN 39713 741 16 above above RB 39713 741 17 to to IN 39713 741 18 these these DT 39713 741 19 two two CD 39713 741 20 words word NNS 39713 741 21 . . . 39713 742 1 THE the DT 39713 742 2 SURFACES SURFACES NNP 39713 742 3 OF of IN 39713 742 4 CONSTANT CONSTANT NNP 39713 742 5 CURVATURE.--One curvature.--one NN 39713 742 6 objection objection NNP 39713 742 7 still still RB 39713 742 8 remained remain VBD 39713 742 9 possible possible JJ 39713 742 10 . . . 39713 743 1 The the DT 39713 743 2 theorems theorem NNS 39713 743 3 of of IN 39713 743 4 Lobachevski Lobachevski NNP 39713 743 5 and and CC 39713 743 6 of of IN 39713 743 7 Riemann Riemann NNP 39713 743 8 present present VBP 39713 743 9 no no DT 39713 743 10 contradiction contradiction NN 39713 743 11 ; ; : 39713 743 12 but but CC 39713 743 13 however however RB 39713 743 14 numerous numerous JJ 39713 743 15 the the DT 39713 743 16 consequences consequence NNS 39713 743 17 these these DT 39713 743 18 two two CD 39713 743 19 geometers geometer NNS 39713 743 20 have have VBP 39713 743 21 drawn draw VBN 39713 743 22 from from IN 39713 743 23 their -PRON- PRP$ 39713 743 24 hypotheses hypothesis NNS 39713 743 25 , , , 39713 743 26 they -PRON- PRP 39713 743 27 must must MD 39713 743 28 have have VB 39713 743 29 stopped stop VBN 39713 743 30 before before IN 39713 743 31 exhausting exhaust VBG 39713 743 32 them -PRON- PRP 39713 743 33 , , , 39713 743 34 since since IN 39713 743 35 their -PRON- PRP$ 39713 743 36 number number NN 39713 743 37 would would MD 39713 743 38 be be VB 39713 743 39 infinite infinite JJ 39713 743 40 ; ; : 39713 743 41 who who WP 39713 743 42 can can MD 39713 743 43 say say VB 39713 743 44 then then RB 39713 743 45 that that IN 39713 743 46 if if IN 39713 743 47 they -PRON- PRP 39713 743 48 had have VBD 39713 743 49 pushed push VBN 39713 743 50 their -PRON- PRP$ 39713 743 51 deductions deduction NNS 39713 743 52 farther farther RB 39713 743 53 they -PRON- PRP 39713 743 54 would would MD 39713 743 55 not not RB 39713 743 56 have have VB 39713 743 57 eventually eventually RB 39713 743 58 reached reach VBN 39713 743 59 some some DT 39713 743 60 contradiction contradiction NN 39713 743 61 ? ? . 39713 744 1 This this DT 39713 744 2 difficulty difficulty NN 39713 744 3 does do VBZ 39713 744 4 not not RB 39713 744 5 exist exist VB 39713 744 6 for for IN 39713 744 7 Riemann Riemann NNP 39713 744 8 's 's POS 39713 744 9 geometry geometry NN 39713 744 10 , , , 39713 744 11 provided provide VBN 39713 744 12 it -PRON- PRP 39713 744 13 is be VBZ 39713 744 14 limited limit VBN 39713 744 15 to to IN 39713 744 16 two two CD 39713 744 17 dimensions dimension NNS 39713 744 18 ; ; : 39713 744 19 in in IN 39713 744 20 fact fact NN 39713 744 21 , , , 39713 744 22 as as IN 39713 744 23 we -PRON- PRP 39713 744 24 have have VBP 39713 744 25 seen see VBN 39713 744 26 , , , 39713 744 27 two two CD 39713 744 28 - - HYPH 39713 744 29 dimensional dimensional JJ 39713 744 30 Riemannian riemannian JJ 39713 744 31 geometry geometry NN 39713 744 32 does do VBZ 39713 744 33 not not RB 39713 744 34 differ differ VB 39713 744 35 from from IN 39713 744 36 spherical spherical JJ 39713 744 37 geometry geometry NN 39713 744 38 , , , 39713 744 39 which which WDT 39713 744 40 is be VBZ 39713 744 41 only only RB 39713 744 42 a a DT 39713 744 43 branch branch NN 39713 744 44 of of IN 39713 744 45 ordinary ordinary JJ 39713 744 46 geometry geometry NN 39713 744 47 , , , 39713 744 48 and and CC 39713 744 49 consequently consequently RB 39713 744 50 is be VBZ 39713 744 51 beyond beyond IN 39713 744 52 all all DT 39713 744 53 discussion discussion NN 39713 744 54 . . . 39713 745 1 Beltrami Beltrami NNP 39713 745 2 , , , 39713 745 3 in in IN 39713 745 4 correlating correlate VBG 39713 745 5 likewise likewise RB 39713 745 6 Lobachevski Lobachevski NNP 39713 745 7 's 's POS 39713 745 8 two two CD 39713 745 9 - - HYPH 39713 745 10 dimensional dimensional JJ 39713 745 11 geometry geometry NN 39713 745 12 with with IN 39713 745 13 a a DT 39713 745 14 branch branch NN 39713 745 15 of of IN 39713 745 16 ordinary ordinary JJ 39713 745 17 geometry geometry NN 39713 745 18 , , , 39713 745 19 has have VBZ 39713 745 20 equally equally RB 39713 745 21 refuted refute VBN 39713 745 22 the the DT 39713 745 23 objection objection NN 39713 745 24 so so RB 39713 745 25 far far RB 39713 745 26 as as IN 39713 745 27 it -PRON- PRP 39713 745 28 is be VBZ 39713 745 29 concerned concern VBN 39713 745 30 . . . 39713 746 1 Here here RB 39713 746 2 is be VBZ 39713 746 3 how how WRB 39713 746 4 he -PRON- PRP 39713 746 5 accomplished accomplish VBD 39713 746 6 it -PRON- PRP 39713 746 7 . . . 39713 747 1 Consider consider VB 39713 747 2 any any DT 39713 747 3 figure figure NN 39713 747 4 on on IN 39713 747 5 a a DT 39713 747 6 surface surface NN 39713 747 7 . . . 39713 748 1 Imagine imagine VB 39713 748 2 this this DT 39713 748 3 figure figure NN 39713 748 4 traced trace VBD 39713 748 5 on on IN 39713 748 6 a a DT 39713 748 7 flexible flexible JJ 39713 748 8 and and CC 39713 748 9 inextensible inextensible JJ 39713 748 10 canvas canvas NN 39713 748 11 applied apply VBN 39713 748 12 over over IN 39713 748 13 this this DT 39713 748 14 surface surface NN 39713 748 15 in in IN 39713 748 16 such such PDT 39713 748 17 a a DT 39713 748 18 way way NN 39713 748 19 that that IN 39713 748 20 when when WRB 39713 748 21 the the DT 39713 748 22 canvas canvas NN 39713 748 23 is be VBZ 39713 748 24 displaced displace VBN 39713 748 25 and and CC 39713 748 26 deformed deform VBN 39713 748 27 , , , 39713 748 28 the the DT 39713 748 29 various various JJ 39713 748 30 lines line NNS 39713 748 31 of of IN 39713 748 32 this this DT 39713 748 33 figure figure NN 39713 748 34 can can MD 39713 748 35 change change VB 39713 748 36 their -PRON- PRP$ 39713 748 37 form form NN 39713 748 38 without without IN 39713 748 39 changing change VBG 39713 748 40 their -PRON- PRP$ 39713 748 41 length length NN 39713 748 42 . . . 39713 749 1 In in IN 39713 749 2 general general JJ 39713 749 3 , , , 39713 749 4 this this DT 39713 749 5 flexible flexible JJ 39713 749 6 and and CC 39713 749 7 inextensible inextensible JJ 39713 749 8 figure figure NN 39713 749 9 can can MD 39713 749 10 not not RB 39713 749 11 be be VB 39713 749 12 displaced displace VBN 39713 749 13 without without IN 39713 749 14 leaving leave VBG 39713 749 15 the the DT 39713 749 16 surface surface NN 39713 749 17 ; ; : 39713 749 18 but but CC 39713 749 19 there there EX 39713 749 20 are be VBP 39713 749 21 certain certain JJ 39713 749 22 particular particular JJ 39713 749 23 surfaces surface NNS 39713 749 24 for for IN 39713 749 25 which which WDT 39713 749 26 such such PDT 39713 749 27 a a DT 39713 749 28 movement movement NN 39713 749 29 would would MD 39713 749 30 be be VB 39713 749 31 possible possible JJ 39713 749 32 ; ; : 39713 749 33 these these DT 39713 749 34 are be VBP 39713 749 35 the the DT 39713 749 36 surfaces surface NNS 39713 749 37 of of IN 39713 749 38 constant constant JJ 39713 749 39 curvature curvature NN 39713 749 40 . . . 39713 750 1 If if IN 39713 750 2 we -PRON- PRP 39713 750 3 resume resume VBP 39713 750 4 the the DT 39713 750 5 comparison comparison NN 39713 750 6 made make VBN 39713 750 7 above above RB 39713 750 8 and and CC 39713 750 9 imagine imagine VB 39713 750 10 beings being NNS 39713 750 11 without without IN 39713 750 12 thickness thickness NN 39713 750 13 living live VBG 39713 750 14 on on IN 39713 750 15 one one CD 39713 750 16 of of IN 39713 750 17 these these DT 39713 750 18 surfaces surface NNS 39713 750 19 , , , 39713 750 20 they -PRON- PRP 39713 750 21 will will MD 39713 750 22 regard regard VB 39713 750 23 as as IN 39713 750 24 possible possible JJ 39713 750 25 the the DT 39713 750 26 motion motion NN 39713 750 27 of of IN 39713 750 28 a a DT 39713 750 29 figure figure NN 39713 750 30 all all DT 39713 750 31 of of IN 39713 750 32 whose whose WP$ 39713 750 33 lines line NNS 39713 750 34 remain remain VBP 39713 750 35 constant constant JJ 39713 750 36 in in IN 39713 750 37 length length NN 39713 750 38 . . . 39713 751 1 On on IN 39713 751 2 the the DT 39713 751 3 contrary contrary NN 39713 751 4 , , , 39713 751 5 such such PDT 39713 751 6 a a DT 39713 751 7 movement movement NN 39713 751 8 would would MD 39713 751 9 appear appear VB 39713 751 10 absurd absurd JJ 39713 751 11 to to IN 39713 751 12 animals animal NNS 39713 751 13 without without IN 39713 751 14 thickness thickness NN 39713 751 15 living live VBG 39713 751 16 on on IN 39713 751 17 a a DT 39713 751 18 surface surface NN 39713 751 19 of of IN 39713 751 20 variable variable JJ 39713 751 21 curvature curvature NN 39713 751 22 . . . 39713 752 1 These these DT 39713 752 2 surfaces surface NNS 39713 752 3 of of IN 39713 752 4 constant constant JJ 39713 752 5 curvature curvature NN 39713 752 6 are be VBP 39713 752 7 of of IN 39713 752 8 two two CD 39713 752 9 sorts sort NNS 39713 752 10 : : : 39713 752 11 Some some DT 39713 752 12 are be VBP 39713 752 13 of of IN 39713 752 14 _ _ NNP 39713 752 15 positive positive JJ 39713 752 16 curvature curvature NN 39713 752 17 _ _ NNP 39713 752 18 , , , 39713 752 19 and and CC 39713 752 20 can can MD 39713 752 21 be be VB 39713 752 22 deformed deform VBN 39713 752 23 so so IN 39713 752 24 as as IN 39713 752 25 to to TO 39713 752 26 be be VB 39713 752 27 applied apply VBN 39713 752 28 over over IN 39713 752 29 a a DT 39713 752 30 sphere sphere NN 39713 752 31 . . . 39713 753 1 The the DT 39713 753 2 geometry geometry NN 39713 753 3 of of IN 39713 753 4 these these DT 39713 753 5 surfaces surface NNS 39713 753 6 reduces reduce VBZ 39713 753 7 itself -PRON- PRP 39713 753 8 therefore therefore RB 39713 753 9 to to IN 39713 753 10 the the DT 39713 753 11 spherical spherical JJ 39713 753 12 geometry geometry NN 39713 753 13 , , , 39713 753 14 which which WDT 39713 753 15 is be VBZ 39713 753 16 that that DT 39713 753 17 of of IN 39713 753 18 Riemann Riemann NNP 39713 753 19 . . . 39713 754 1 The the DT 39713 754 2 others other NNS 39713 754 3 are be VBP 39713 754 4 of of IN 39713 754 5 _ _ NNP 39713 754 6 negative negative JJ 39713 754 7 curvature curvature NN 39713 754 8 _ _ NNP 39713 754 9 . . . 39713 755 1 Beltrami Beltrami NNP 39713 755 2 has have VBZ 39713 755 3 shown show VBN 39713 755 4 that that IN 39713 755 5 the the DT 39713 755 6 geometry geometry NN 39713 755 7 of of IN 39713 755 8 these these DT 39713 755 9 surfaces surface NNS 39713 755 10 is be VBZ 39713 755 11 none none NN 39713 755 12 other other JJ 39713 755 13 than than IN 39713 755 14 that that DT 39713 755 15 of of IN 39713 755 16 Lobachevski Lobachevski NNP 39713 755 17 . . . 39713 756 1 The the DT 39713 756 2 two two CD 39713 756 3 - - HYPH 39713 756 4 dimensional dimensional JJ 39713 756 5 geometries geometry NNS 39713 756 6 of of IN 39713 756 7 Riemann Riemann NNP 39713 756 8 and and CC 39713 756 9 Lobachevski Lobachevski NNP 39713 756 10 are be VBP 39713 756 11 thus thus RB 39713 756 12 correlated correlate VBN 39713 756 13 to to IN 39713 756 14 the the DT 39713 756 15 Euclidean Euclidean NNP 39713 756 16 geometry geometry NN 39713 756 17 . . . 39713 757 1 INTERPRETATION interpretation NN 39713 757 2 OF of IN 39713 757 3 NON NON NNP 39713 757 4 - - HYPH 39713 757 5 EUCLIDEAN EUCLIDEAN NNP 39713 757 6 GEOMETRIES.--So GEOMETRIES.--So NNP 39713 757 7 vanishes vanish VBZ 39713 757 8 the the DT 39713 757 9 objection objection NN 39713 757 10 so so RB 39713 757 11 far far RB 39713 757 12 as as IN 39713 757 13 two two CD 39713 757 14 - - HYPH 39713 757 15 dimensional dimensional JJ 39713 757 16 geometries geometry NNS 39713 757 17 are be VBP 39713 757 18 concerned concern VBN 39713 757 19 . . . 39713 758 1 It -PRON- PRP 39713 758 2 would would MD 39713 758 3 be be VB 39713 758 4 easy easy JJ 39713 758 5 to to TO 39713 758 6 extend extend VB 39713 758 7 Beltrami Beltrami NNP 39713 758 8 's 's POS 39713 758 9 reasoning reasoning NN 39713 758 10 to to IN 39713 758 11 three three CD 39713 758 12 - - HYPH 39713 758 13 dimensional dimensional JJ 39713 758 14 geometries geometry NNS 39713 758 15 . . . 39713 759 1 The the DT 39713 759 2 minds mind NNS 39713 759 3 that that WDT 39713 759 4 space space NN 39713 759 5 of of IN 39713 759 6 four four CD 39713 759 7 dimensions dimension NNS 39713 759 8 does do VBZ 39713 759 9 not not RB 39713 759 10 repel repel VB 39713 759 11 will will MD 39713 759 12 see see VB 39713 759 13 no no DT 39713 759 14 difficulty difficulty NN 39713 759 15 in in IN 39713 759 16 it -PRON- PRP 39713 759 17 , , , 39713 759 18 but but CC 39713 759 19 they -PRON- PRP 39713 759 20 are be VBP 39713 759 21 few few JJ 39713 759 22 . . . 39713 760 1 I -PRON- PRP 39713 760 2 prefer prefer VBP 39713 760 3 therefore therefore RB 39713 760 4 to to TO 39713 760 5 proceed proceed VB 39713 760 6 otherwise otherwise RB 39713 760 7 . . . 39713 761 1 Consider consider VB 39713 761 2 a a DT 39713 761 3 certain certain JJ 39713 761 4 plane plane NN 39713 761 5 , , , 39713 761 6 which which WDT 39713 761 7 I -PRON- PRP 39713 761 8 shall shall MD 39713 761 9 call call VB 39713 761 10 the the DT 39713 761 11 fundamental fundamental JJ 39713 761 12 plane plane NN 39713 761 13 , , , 39713 761 14 and and CC 39713 761 15 construct construct VB 39713 761 16 a a DT 39713 761 17 sort sort NN 39713 761 18 of of IN 39713 761 19 dictionary dictionary JJ 39713 761 20 , , , 39713 761 21 by by IN 39713 761 22 making make VBG 39713 761 23 correspond correspond VB 39713 761 24 each each DT 39713 761 25 to to IN 39713 761 26 each each DT 39713 761 27 a a DT 39713 761 28 double double JJ 39713 761 29 series series NN 39713 761 30 of of IN 39713 761 31 terms term NNS 39713 761 32 written write VBN 39713 761 33 in in IN 39713 761 34 two two CD 39713 761 35 columns column NNS 39713 761 36 , , , 39713 761 37 just just RB 39713 761 38 as as IN 39713 761 39 correspond correspond NN 39713 761 40 in in IN 39713 761 41 the the DT 39713 761 42 ordinary ordinary JJ 39713 761 43 dictionaries dictionary NNS 39713 761 44 the the DT 39713 761 45 words word NNS 39713 761 46 of of IN 39713 761 47 two two CD 39713 761 48 languages language NNS 39713 761 49 whose whose WP$ 39713 761 50 significance significance NN 39713 761 51 is be VBZ 39713 761 52 the the DT 39713 761 53 same same JJ 39713 761 54 : : : 39713 761 55 _ _ NNP 39713 761 56 Space Space NNP 39713 761 57 _ _ NNP 39713 761 58 : : : 39713 761 59 Portion portion NN 39713 761 60 of of IN 39713 761 61 space space NN 39713 761 62 situated situate VBN 39713 761 63 above above IN 39713 761 64 the the DT 39713 761 65 fundamental fundamental JJ 39713 761 66 plane plane NN 39713 761 67 . . . 39713 762 1 _ _ NNP 39713 762 2 Plane Plane NNP 39713 762 3 _ _ NNP 39713 762 4 : : : 39713 762 5 Sphere sphere RB 39713 762 6 cutting cut VBG 39713 762 7 the the DT 39713 762 8 fundamental fundamental JJ 39713 762 9 plane plane NN 39713 762 10 orthogonally orthogonally RB 39713 762 11 . . . 39713 763 1 _ _ NNP 39713 763 2 Straight Straight NNP 39713 763 3 _ _ NNP 39713 763 4 : : : 39713 763 5 Circle Circle NNP 39713 763 6 cutting cut VBG 39713 763 7 the the DT 39713 763 8 fundamental fundamental JJ 39713 763 9 plane plane NN 39713 763 10 orthogonally orthogonally RB 39713 763 11 . . . 39713 764 1 _ _ NNP 39713 764 2 Sphere Sphere NNP 39713 764 3 _ _ NNP 39713 764 4 : : : 39713 764 5 Sphere Sphere NNP 39713 764 6 . . . 39713 765 1 _ _ NNP 39713 765 2 Circle Circle NNP 39713 765 3 _ _ NNP 39713 765 4 : : : 39713 765 5 Circle Circle NNP 39713 765 6 . . . 39713 766 1 _ _ NNP 39713 766 2 Angle Angle NNP 39713 766 3 _ _ NNP 39713 766 4 : : : 39713 766 5 Angle Angle NNP 39713 766 6 . . . 39713 767 1 _ _ NNP 39713 767 2 Distance Distance NNP 39713 767 3 between between IN 39713 767 4 two two CD 39713 767 5 points point NNS 39713 767 6 _ _ NNP 39713 767 7 : : : 39713 767 8 Logarithm Logarithm NNP 39713 767 9 of of IN 39713 767 10 the the DT 39713 767 11 cross cross NN 39713 767 12 ratio ratio NN 39713 767 13 of of IN 39713 767 14 these these DT 39713 767 15 two two CD 39713 767 16 points point NNS 39713 767 17 and and CC 39713 767 18 the the DT 39713 767 19 intersections intersection NNS 39713 767 20 of of IN 39713 767 21 the the DT 39713 767 22 fundamental fundamental JJ 39713 767 23 plane plane NN 39713 767 24 with with IN 39713 767 25 a a DT 39713 767 26 circle circle NN 39713 767 27 passing pass VBG 39713 767 28 through through IN 39713 767 29 these these DT 39713 767 30 two two CD 39713 767 31 points point NNS 39713 767 32 and and CC 39713 767 33 cutting cut VBG 39713 767 34 it -PRON- PRP 39713 767 35 orthogonally orthogonally RB 39713 767 36 . . . 39713 768 1 Etc etc FW 39713 768 2 . . . 39713 768 3 , , , 39713 768 4 Etc etc FW 39713 768 5 . . . 39713 769 1 Now now RB 39713 769 2 take take VB 39713 769 3 Lobachevski Lobachevski NNP 39713 769 4 's 's POS 39713 769 5 theorems theorem NNS 39713 769 6 and and CC 39713 769 7 translate translate VB 39713 769 8 them -PRON- PRP 39713 769 9 with with IN 39713 769 10 the the DT 39713 769 11 aid aid NN 39713 769 12 of of IN 39713 769 13 this this DT 39713 769 14 dictionary dictionary NN 39713 769 15 as as IN 39713 769 16 we -PRON- PRP 39713 769 17 translate translate VBP 39713 769 18 a a DT 39713 769 19 German german JJ 39713 769 20 text text NN 39713 769 21 with with IN 39713 769 22 the the DT 39713 769 23 aid aid NN 39713 769 24 of of IN 39713 769 25 a a DT 39713 769 26 German german JJ 39713 769 27 - - HYPH 39713 769 28 English english JJ 39713 769 29 dictionary dictionary NN 39713 769 30 . . . 39713 770 1 _ _ NNP 39713 770 2 We -PRON- PRP 39713 770 3 shall shall MD 39713 770 4 thus thus RB 39713 770 5 obtain obtain VB 39713 770 6 theorems theorem NNS 39713 770 7 of of IN 39713 770 8 the the DT 39713 770 9 ordinary ordinary JJ 39713 770 10 geometry geometry NN 39713 770 11 . . . 39713 770 12 _ _ NNP 39713 770 13 For for IN 39713 770 14 example example NN 39713 770 15 , , , 39713 770 16 that that IN 39713 770 17 theorem theorem NN 39713 770 18 of of IN 39713 770 19 Lobachevski Lobachevski NNP 39713 770 20 : : : 39713 770 21 ' ' '' 39713 770 22 the the DT 39713 770 23 sum sum NN 39713 770 24 of of IN 39713 770 25 the the DT 39713 770 26 angles angle NNS 39713 770 27 of of IN 39713 770 28 a a DT 39713 770 29 triangle triangle NN 39713 770 30 is be VBZ 39713 770 31 less less JJR 39713 770 32 than than IN 39713 770 33 two two CD 39713 770 34 right right JJ 39713 770 35 angles angle NNS 39713 770 36 ' ' POS 39713 770 37 is be VBZ 39713 770 38 translated translate VBN 39713 770 39 thus thus RB 39713 770 40 : : : 39713 770 41 " " `` 39713 770 42 If if IN 39713 770 43 a a DT 39713 770 44 curvilinear curvilinear NN 39713 770 45 triangle triangle NN 39713 770 46 has have VBZ 39713 770 47 for for IN 39713 770 48 sides side NNS 39713 770 49 circle circle NN 39713 770 50 - - : 39713 770 51 arcs arc NNS 39713 770 52 which which WDT 39713 770 53 prolonged prolong VBD 39713 770 54 would would MD 39713 770 55 cut cut VB 39713 770 56 orthogonally orthogonally RB 39713 770 57 the the DT 39713 770 58 fundamental fundamental JJ 39713 770 59 plane plane NN 39713 770 60 , , , 39713 770 61 the the DT 39713 770 62 sum sum NN 39713 770 63 of of IN 39713 770 64 the the DT 39713 770 65 angles angle NNS 39713 770 66 of of IN 39713 770 67 this this DT 39713 770 68 curvilinear curvilinear NN 39713 770 69 triangle triangle NN 39713 770 70 will will MD 39713 770 71 be be VB 39713 770 72 less less JJR 39713 770 73 than than IN 39713 770 74 two two CD 39713 770 75 right right JJ 39713 770 76 angles angle NNS 39713 770 77 . . . 39713 770 78 " " '' 39713 771 1 Thus thus RB 39713 771 2 , , , 39713 771 3 however however RB 39713 771 4 far far RB 39713 771 5 the the DT 39713 771 6 consequences consequence NNS 39713 771 7 of of IN 39713 771 8 Lobachevski Lobachevski NNP 39713 771 9 's 's POS 39713 771 10 hypotheses hypothesis NNS 39713 771 11 are be VBP 39713 771 12 pushed push VBN 39713 771 13 , , , 39713 771 14 they -PRON- PRP 39713 771 15 will will MD 39713 771 16 never never RB 39713 771 17 lead lead VB 39713 771 18 to to IN 39713 771 19 a a DT 39713 771 20 contradiction contradiction NN 39713 771 21 . . . 39713 772 1 In in IN 39713 772 2 fact fact NN 39713 772 3 , , , 39713 772 4 if if IN 39713 772 5 two two CD 39713 772 6 of of IN 39713 772 7 Lobachevski Lobachevski NNP 39713 772 8 's 's POS 39713 772 9 theorems theorem NNS 39713 772 10 were be VBD 39713 772 11 contradictory contradictory JJ 39713 772 12 , , , 39713 772 13 it -PRON- PRP 39713 772 14 would would MD 39713 772 15 be be VB 39713 772 16 the the DT 39713 772 17 same same JJ 39713 772 18 with with IN 39713 772 19 the the DT 39713 772 20 translations translation NNS 39713 772 21 of of IN 39713 772 22 these these DT 39713 772 23 two two CD 39713 772 24 theorems theorem NNS 39713 772 25 , , , 39713 772 26 made make VBN 39713 772 27 by by IN 39713 772 28 the the DT 39713 772 29 aid aid NN 39713 772 30 of of IN 39713 772 31 our -PRON- PRP$ 39713 772 32 dictionary dictionary NN 39713 772 33 , , , 39713 772 34 but but CC 39713 772 35 these these DT 39713 772 36 translations translation NNS 39713 772 37 are be VBP 39713 772 38 theorems theorem NNS 39713 772 39 of of IN 39713 772 40 ordinary ordinary JJ 39713 772 41 geometry geometry NN 39713 772 42 and and CC 39713 772 43 no no DT 39713 772 44 one one NN 39713 772 45 doubts doubt VBZ 39713 772 46 that that IN 39713 772 47 the the DT 39713 772 48 ordinary ordinary JJ 39713 772 49 geometry geometry NN 39713 772 50 is be VBZ 39713 772 51 free free JJ 39713 772 52 from from IN 39713 772 53 contradiction contradiction NN 39713 772 54 . . . 39713 773 1 Whence whence NN 39713 773 2 comes come VBZ 39713 773 3 this this DT 39713 773 4 certainty certainty NN 39713 773 5 and and CC 39713 773 6 is be VBZ 39713 773 7 it -PRON- PRP 39713 773 8 justified justify VBN 39713 773 9 ? ? . 39713 774 1 That that DT 39713 774 2 is be VBZ 39713 774 3 a a DT 39713 774 4 question question NN 39713 774 5 I -PRON- PRP 39713 774 6 can can MD 39713 774 7 not not RB 39713 774 8 treat treat VB 39713 774 9 here here RB 39713 774 10 because because IN 39713 774 11 it -PRON- PRP 39713 774 12 would would MD 39713 774 13 require require VB 39713 774 14 to to TO 39713 774 15 be be VB 39713 774 16 enlarged enlarge VBN 39713 774 17 upon upon IN 39713 774 18 , , , 39713 774 19 but but CC 39713 774 20 which which WDT 39713 774 21 is be VBZ 39713 774 22 very very RB 39713 774 23 interesting interesting JJ 39713 774 24 and and CC 39713 774 25 I -PRON- PRP 39713 774 26 think think VBP 39713 774 27 not not RB 39713 774 28 insoluble insoluble JJ 39713 774 29 . . . 39713 775 1 Nothing nothing NN 39713 775 2 remains remain VBZ 39713 775 3 then then RB 39713 775 4 of of IN 39713 775 5 the the DT 39713 775 6 objection objection NN 39713 775 7 above above IN 39713 775 8 formulated formulate VBD 39713 775 9 . . . 39713 776 1 This this DT 39713 776 2 is be VBZ 39713 776 3 not not RB 39713 776 4 all all DT 39713 776 5 . . . 39713 777 1 Lobachevski Lobachevski NNP 39713 777 2 's 's POS 39713 777 3 geometry geometry NN 39713 777 4 , , , 39713 777 5 susceptible susceptible JJ 39713 777 6 of of IN 39713 777 7 a a DT 39713 777 8 concrete concrete JJ 39713 777 9 interpretation interpretation NN 39713 777 10 , , , 39713 777 11 ceases cease VBZ 39713 777 12 to to TO 39713 777 13 be be VB 39713 777 14 a a DT 39713 777 15 vain vain JJ 39713 777 16 logical logical JJ 39713 777 17 exercise exercise NN 39713 777 18 and and CC 39713 777 19 is be VBZ 39713 777 20 capable capable JJ 39713 777 21 of of IN 39713 777 22 applications application NNS 39713 777 23 ; ; : 39713 777 24 I -PRON- PRP 39713 777 25 have have VBP 39713 777 26 not not RB 39713 777 27 the the DT 39713 777 28 time time NN 39713 777 29 to to TO 39713 777 30 speak speak VB 39713 777 31 here here RB 39713 777 32 of of IN 39713 777 33 these these DT 39713 777 34 applications application NNS 39713 777 35 , , , 39713 777 36 nor nor CC 39713 777 37 of of IN 39713 777 38 the the DT 39713 777 39 aid aid NN 39713 777 40 that that WDT 39713 777 41 Klein Klein NNP 39713 777 42 and and CC 39713 777 43 I -PRON- PRP 39713 777 44 have have VBP 39713 777 45 gotten get VBN 39713 777 46 from from IN 39713 777 47 them -PRON- PRP 39713 777 48 for for IN 39713 777 49 the the DT 39713 777 50 integration integration NN 39713 777 51 of of IN 39713 777 52 linear linear JJ 39713 777 53 differential differential NN 39713 777 54 equations equation NNS 39713 777 55 . . . 39713 778 1 This this DT 39713 778 2 interpretation interpretation NN 39713 778 3 moreover moreover RB 39713 778 4 is be VBZ 39713 778 5 not not RB 39713 778 6 unique unique JJ 39713 778 7 , , , 39713 778 8 and and CC 39713 778 9 several several JJ 39713 778 10 dictionaries dictionary NNS 39713 778 11 analogous analogous JJ 39713 778 12 to to IN 39713 778 13 the the DT 39713 778 14 preceding precede VBG 39713 778 15 could could MD 39713 778 16 be be VB 39713 778 17 constructed construct VBN 39713 778 18 , , , 39713 778 19 which which WDT 39713 778 20 would would MD 39713 778 21 enable enable VB 39713 778 22 us -PRON- PRP 39713 778 23 by by IN 39713 778 24 a a DT 39713 778 25 simple simple JJ 39713 778 26 ' ' `` 39713 778 27 translation translation NN 39713 778 28 ' ' '' 39713 778 29 to to TO 39713 778 30 transform transform VB 39713 778 31 Lobachevski Lobachevski NNP 39713 778 32 's 's POS 39713 778 33 theorems theorem NNS 39713 778 34 into into IN 39713 778 35 theorems theorem NNS 39713 778 36 of of IN 39713 778 37 ordinary ordinary JJ 39713 778 38 geometry geometry NN 39713 778 39 . . . 39713 779 1 THE the DT 39713 779 2 IMPLICIT IMPLICIT NNP 39713 779 3 AXIOMS.--Are AXIOMS.--Are `` 39713 779 4 the the DT 39713 779 5 axioms axiom NNS 39713 779 6 explicitly explicitly RB 39713 779 7 enunciated enunciate VBD 39713 779 8 in in IN 39713 779 9 our -PRON- PRP$ 39713 779 10 treatises treatise NNS 39713 779 11 the the DT 39713 779 12 sole sole JJ 39713 779 13 foundations foundation NNS 39713 779 14 of of IN 39713 779 15 geometry geometry NN 39713 779 16 ? ? . 39713 780 1 We -PRON- PRP 39713 780 2 may may MD 39713 780 3 be be VB 39713 780 4 assured assure VBN 39713 780 5 of of IN 39713 780 6 the the DT 39713 780 7 contrary contrary NN 39713 780 8 by by IN 39713 780 9 noticing notice VBG 39713 780 10 that that IN 39713 780 11 after after IN 39713 780 12 they -PRON- PRP 39713 780 13 are be VBP 39713 780 14 successively successively RB 39713 780 15 abandoned abandon VBN 39713 780 16 there there EX 39713 780 17 are be VBP 39713 780 18 still still RB 39713 780 19 left leave VBN 39713 780 20 over over IN 39713 780 21 some some DT 39713 780 22 propositions proposition NNS 39713 780 23 common common JJ 39713 780 24 to to IN 39713 780 25 the the DT 39713 780 26 theories theory NNS 39713 780 27 of of IN 39713 780 28 Euclid Euclid NNP 39713 780 29 , , , 39713 780 30 Lobachevski Lobachevski NNP 39713 780 31 and and CC 39713 780 32 Riemann Riemann NNP 39713 780 33 . . . 39713 781 1 These these DT 39713 781 2 propositions proposition NNS 39713 781 3 must must MD 39713 781 4 rest rest VB 39713 781 5 on on IN 39713 781 6 premises premise NNS 39713 781 7 the the DT 39713 781 8 geometers geometer NNS 39713 781 9 admit admit VBP 39713 781 10 without without IN 39713 781 11 enunciation enunciation NN 39713 781 12 . . . 39713 782 1 It -PRON- PRP 39713 782 2 is be VBZ 39713 782 3 interesting interesting JJ 39713 782 4 to to TO 39713 782 5 try try VB 39713 782 6 to to TO 39713 782 7 disentangle disentangle VB 39713 782 8 them -PRON- PRP 39713 782 9 from from IN 39713 782 10 the the DT 39713 782 11 classic classic JJ 39713 782 12 demonstrations demonstration NNS 39713 782 13 . . . 39713 783 1 Stuart Stuart NNP 39713 783 2 Mill Mill NNP 39713 783 3 has have VBZ 39713 783 4 claimed claim VBN 39713 783 5 that that IN 39713 783 6 every every DT 39713 783 7 definition definition NN 39713 783 8 contains contain VBZ 39713 783 9 an an DT 39713 783 10 axiom axiom NN 39713 783 11 , , , 39713 783 12 because because IN 39713 783 13 in in IN 39713 783 14 defining define VBG 39713 783 15 one one CD 39713 783 16 affirms affirm VBZ 39713 783 17 implicitly implicitly RB 39713 783 18 the the DT 39713 783 19 existence existence NN 39713 783 20 of of IN 39713 783 21 the the DT 39713 783 22 object object NN 39713 783 23 defined define VBN 39713 783 24 . . . 39713 784 1 This this DT 39713 784 2 is be VBZ 39713 784 3 going go VBG 39713 784 4 much much RB 39713 784 5 too too RB 39713 784 6 far far RB 39713 784 7 ; ; : 39713 784 8 it -PRON- PRP 39713 784 9 is be VBZ 39713 784 10 rare rare JJ 39713 784 11 that that IN 39713 784 12 in in IN 39713 784 13 mathematics mathematic NNS 39713 784 14 a a DT 39713 784 15 definition definition NN 39713 784 16 is be VBZ 39713 784 17 given give VBN 39713 784 18 without without IN 39713 784 19 its -PRON- PRP$ 39713 784 20 being be VBG 39713 784 21 followed follow VBN 39713 784 22 by by IN 39713 784 23 the the DT 39713 784 24 demonstration demonstration NN 39713 784 25 of of IN 39713 784 26 the the DT 39713 784 27 existence existence NN 39713 784 28 of of IN 39713 784 29 the the DT 39713 784 30 object object NN 39713 784 31 defined define VBN 39713 784 32 , , , 39713 784 33 and and CC 39713 784 34 when when WRB 39713 784 35 this this DT 39713 784 36 is be VBZ 39713 784 37 dispensed dispense VBN 39713 784 38 with with IN 39713 784 39 it -PRON- PRP 39713 784 40 is be VBZ 39713 784 41 generally generally RB 39713 784 42 because because IN 39713 784 43 the the DT 39713 784 44 reader reader NN 39713 784 45 can can MD 39713 784 46 easily easily RB 39713 784 47 supply supply VB 39713 784 48 it -PRON- PRP 39713 784 49 . . . 39713 785 1 It -PRON- PRP 39713 785 2 must must MD 39713 785 3 not not RB 39713 785 4 be be VB 39713 785 5 forgotten forget VBN 39713 785 6 that that IN 39713 785 7 the the DT 39713 785 8 word word NN 39713 785 9 existence existence NN 39713 785 10 has have VBZ 39713 785 11 not not RB 39713 785 12 the the DT 39713 785 13 same same JJ 39713 785 14 sense sense NN 39713 785 15 when when WRB 39713 785 16 it -PRON- PRP 39713 785 17 refers refer VBZ 39713 785 18 to to IN 39713 785 19 a a DT 39713 785 20 mathematical mathematical JJ 39713 785 21 entity entity NN 39713 785 22 and and CC 39713 785 23 when when WRB 39713 785 24 it -PRON- PRP 39713 785 25 is be VBZ 39713 785 26 a a DT 39713 785 27 question question NN 39713 785 28 of of IN 39713 785 29 a a DT 39713 785 30 material material JJ 39713 785 31 object object NN 39713 785 32 . . . 39713 786 1 A a DT 39713 786 2 mathematical mathematical JJ 39713 786 3 entity entity NN 39713 786 4 exists exist VBZ 39713 786 5 , , , 39713 786 6 provided provide VBD 39713 786 7 its -PRON- PRP$ 39713 786 8 definition definition NN 39713 786 9 implies imply VBZ 39713 786 10 no no DT 39713 786 11 contradiction contradiction NN 39713 786 12 , , , 39713 786 13 either either CC 39713 786 14 in in IN 39713 786 15 itself -PRON- PRP 39713 786 16 , , , 39713 786 17 or or CC 39713 786 18 with with IN 39713 786 19 the the DT 39713 786 20 propositions proposition NNS 39713 786 21 already already RB 39713 786 22 admitted admit VBN 39713 786 23 . . . 39713 787 1 But but CC 39713 787 2 if if IN 39713 787 3 Stuart Stuart NNP 39713 787 4 Mill Mill NNP 39713 787 5 's 's POS 39713 787 6 observation observation NN 39713 787 7 can can MD 39713 787 8 not not RB 39713 787 9 be be VB 39713 787 10 applied apply VBN 39713 787 11 to to IN 39713 787 12 all all DT 39713 787 13 definitions definition NNS 39713 787 14 , , , 39713 787 15 it -PRON- PRP 39713 787 16 is be VBZ 39713 787 17 none none NN 39713 787 18 the the DT 39713 787 19 less less RBR 39713 787 20 just just RB 39713 787 21 for for IN 39713 787 22 some some DT 39713 787 23 of of IN 39713 787 24 them -PRON- PRP 39713 787 25 . . . 39713 788 1 The the DT 39713 788 2 plane plane NN 39713 788 3 is be VBZ 39713 788 4 sometimes sometimes RB 39713 788 5 defined define VBN 39713 788 6 as as IN 39713 788 7 follows follow VBZ 39713 788 8 : : : 39713 788 9 The the DT 39713 788 10 plane plane NN 39713 788 11 is be VBZ 39713 788 12 a a DT 39713 788 13 surface surface NN 39713 788 14 such such JJ 39713 788 15 that that IN 39713 788 16 the the DT 39713 788 17 straight straight JJ 39713 788 18 which which WDT 39713 788 19 joins join VBZ 39713 788 20 any any DT 39713 788 21 two two CD 39713 788 22 of of IN 39713 788 23 its -PRON- PRP$ 39713 788 24 points point NNS 39713 788 25 is be VBZ 39713 788 26 wholly wholly RB 39713 788 27 on on IN 39713 788 28 this this DT 39713 788 29 surface surface NN 39713 788 30 . . . 39713 789 1 This this DT 39713 789 2 definition definition NN 39713 789 3 manifestly manifestly RB 39713 789 4 hides hide VBZ 39713 789 5 a a DT 39713 789 6 new new JJ 39713 789 7 axiom axiom NN 39713 789 8 ; ; : 39713 789 9 it -PRON- PRP 39713 789 10 is be VBZ 39713 789 11 true true JJ 39713 789 12 we -PRON- PRP 39713 789 13 might may MD 39713 789 14 change change VB 39713 789 15 it -PRON- PRP 39713 789 16 , , , 39713 789 17 and and CC 39713 789 18 that that DT 39713 789 19 would would MD 39713 789 20 be be VB 39713 789 21 preferable preferable JJ 39713 789 22 , , , 39713 789 23 but but CC 39713 789 24 then then RB 39713 789 25 we -PRON- PRP 39713 789 26 should should MD 39713 789 27 have have VB 39713 789 28 to to TO 39713 789 29 enunciate enunciate VB 39713 789 30 the the DT 39713 789 31 axiom axiom NN 39713 789 32 explicitly explicitly RB 39713 789 33 . . . 39713 790 1 Other other JJ 39713 790 2 definitions definition NNS 39713 790 3 would would MD 39713 790 4 suggest suggest VB 39713 790 5 reflections reflection NNS 39713 790 6 not not RB 39713 790 7 less less RBR 39713 790 8 important important JJ 39713 790 9 . . . 39713 791 1 Such such JJ 39713 791 2 , , , 39713 791 3 for for IN 39713 791 4 example example NN 39713 791 5 , , , 39713 791 6 is be VBZ 39713 791 7 that that DT 39713 791 8 of of IN 39713 791 9 the the DT 39713 791 10 equality equality NN 39713 791 11 of of IN 39713 791 12 two two CD 39713 791 13 figures figure NNS 39713 791 14 ; ; : 39713 791 15 two two CD 39713 791 16 figures figure NNS 39713 791 17 are be VBP 39713 791 18 equal equal JJ 39713 791 19 when when WRB 39713 791 20 they -PRON- PRP 39713 791 21 can can MD 39713 791 22 be be VB 39713 791 23 superposed superpose VBN 39713 791 24 ; ; : 39713 791 25 to to TO 39713 791 26 superpose superpose VB 39713 791 27 them -PRON- PRP 39713 791 28 one one PRP 39713 791 29 must must MD 39713 791 30 be be VB 39713 791 31 displaced displace VBN 39713 791 32 until until IN 39713 791 33 it -PRON- PRP 39713 791 34 coincides coincide VBZ 39713 791 35 with with IN 39713 791 36 the the DT 39713 791 37 other other JJ 39713 791 38 ; ; : 39713 791 39 but but CC 39713 791 40 how how WRB 39713 791 41 shall shall MD 39713 791 42 it -PRON- PRP 39713 791 43 be be VB 39713 791 44 displaced displace VBN 39713 791 45 ? ? . 39713 792 1 If if IN 39713 792 2 we -PRON- PRP 39713 792 3 should should MD 39713 792 4 ask ask VB 39713 792 5 this this DT 39713 792 6 , , , 39713 792 7 no no RB 39713 792 8 doubt doubt RB 39713 792 9 we -PRON- PRP 39713 792 10 should should MD 39713 792 11 be be VB 39713 792 12 told tell VBN 39713 792 13 that that IN 39713 792 14 it -PRON- PRP 39713 792 15 must must MD 39713 792 16 be be VB 39713 792 17 done do VBN 39713 792 18 without without IN 39713 792 19 altering alter VBG 39713 792 20 the the DT 39713 792 21 shape shape NN 39713 792 22 and and CC 39713 792 23 as as IN 39713 792 24 a a DT 39713 792 25 rigid rigid JJ 39713 792 26 solid solid NN 39713 792 27 . . . 39713 793 1 The the DT 39713 793 2 vicious vicious JJ 39713 793 3 circle circle NN 39713 793 4 would would MD 39713 793 5 then then RB 39713 793 6 be be VB 39713 793 7 evident evident JJ 39713 793 8 . . . 39713 794 1 In in IN 39713 794 2 fact fact NN 39713 794 3 this this DT 39713 794 4 definition definition NN 39713 794 5 defines define VBZ 39713 794 6 nothing nothing NN 39713 794 7 ; ; : 39713 794 8 it -PRON- PRP 39713 794 9 would would MD 39713 794 10 have have VB 39713 794 11 no no DT 39713 794 12 meaning meaning NN 39713 794 13 for for IN 39713 794 14 a a DT 39713 794 15 being being NN 39713 794 16 living live VBG 39713 794 17 in in IN 39713 794 18 a a DT 39713 794 19 world world NN 39713 794 20 where where WRB 39713 794 21 there there EX 39713 794 22 were be VBD 39713 794 23 only only RB 39713 794 24 fluids fluid NNS 39713 794 25 . . . 39713 795 1 If if IN 39713 795 2 it -PRON- PRP 39713 795 3 seems seem VBZ 39713 795 4 clear clear JJ 39713 795 5 to to IN 39713 795 6 us -PRON- PRP 39713 795 7 , , , 39713 795 8 that that DT 39713 795 9 is be VBZ 39713 795 10 because because IN 39713 795 11 we -PRON- PRP 39713 795 12 are be VBP 39713 795 13 used use VBN 39713 795 14 to to IN 39713 795 15 the the DT 39713 795 16 properties property NNS 39713 795 17 of of IN 39713 795 18 natural natural JJ 39713 795 19 solids solid NNS 39713 795 20 which which WDT 39713 795 21 do do VBP 39713 795 22 not not RB 39713 795 23 differ differ VB 39713 795 24 much much RB 39713 795 25 from from IN 39713 795 26 those those DT 39713 795 27 of of IN 39713 795 28 the the DT 39713 795 29 ideal ideal JJ 39713 795 30 solids solid NNS 39713 795 31 , , , 39713 795 32 all all DT 39713 795 33 of of IN 39713 795 34 whose whose WP$ 39713 795 35 dimensions dimension NNS 39713 795 36 are be VBP 39713 795 37 invariable invariable JJ 39713 795 38 . . . 39713 796 1 Yet yet RB 39713 796 2 , , , 39713 796 3 imperfect imperfect JJ 39713 796 4 as as IN 39713 796 5 it -PRON- PRP 39713 796 6 may may MD 39713 796 7 be be VB 39713 796 8 , , , 39713 796 9 this this DT 39713 796 10 definition definition NN 39713 796 11 implies imply VBZ 39713 796 12 an an DT 39713 796 13 axiom axiom NN 39713 796 14 . . . 39713 797 1 The the DT 39713 797 2 possibility possibility NN 39713 797 3 of of IN 39713 797 4 the the DT 39713 797 5 motion motion NN 39713 797 6 of of IN 39713 797 7 a a DT 39713 797 8 rigid rigid JJ 39713 797 9 figure figure NN 39713 797 10 is be VBZ 39713 797 11 not not RB 39713 797 12 a a DT 39713 797 13 self self NN 39713 797 14 - - HYPH 39713 797 15 evident evident JJ 39713 797 16 truth truth NN 39713 797 17 , , , 39713 797 18 or or CC 39713 797 19 at at IN 39713 797 20 least least JJS 39713 797 21 it -PRON- PRP 39713 797 22 is be VBZ 39713 797 23 so so RB 39713 797 24 only only RB 39713 797 25 in in IN 39713 797 26 the the DT 39713 797 27 fashion fashion NN 39713 797 28 of of IN 39713 797 29 Euclid Euclid NNP 39713 797 30 's 's POS 39713 797 31 postulate postulate NN 39713 797 32 and and CC 39713 797 33 not not RB 39713 797 34 as as IN 39713 797 35 an an DT 39713 797 36 analytic analytic JJ 39713 797 37 judgment judgment NN 39713 797 38 _ _ NNP 39713 797 39 a a DT 39713 797 40 priori priori FW 39713 797 41 _ _ NNP 39713 797 42 would would MD 39713 797 43 be be VB 39713 797 44 . . . 39713 798 1 Moreover moreover RB 39713 798 2 , , , 39713 798 3 in in IN 39713 798 4 studying study VBG 39713 798 5 the the DT 39713 798 6 definitions definition NNS 39713 798 7 and and CC 39713 798 8 the the DT 39713 798 9 demonstrations demonstration NNS 39713 798 10 of of IN 39713 798 11 geometry geometry NN 39713 798 12 , , , 39713 798 13 we -PRON- PRP 39713 798 14 see see VBP 39713 798 15 that that IN 39713 798 16 one one NN 39713 798 17 is be VBZ 39713 798 18 obliged oblige VBN 39713 798 19 to to TO 39713 798 20 admit admit VB 39713 798 21 without without IN 39713 798 22 proof proof NN 39713 798 23 not not RB 39713 798 24 only only RB 39713 798 25 the the DT 39713 798 26 possibility possibility NN 39713 798 27 of of IN 39713 798 28 this this DT 39713 798 29 motion motion NN 39713 798 30 , , , 39713 798 31 but but CC 39713 798 32 some some DT 39713 798 33 of of IN 39713 798 34 its -PRON- PRP$ 39713 798 35 properties property NNS 39713 798 36 besides besides RB 39713 798 37 . . . 39713 799 1 This this DT 39713 799 2 is be VBZ 39713 799 3 at at IN 39713 799 4 once once RB 39713 799 5 seen see VBN 39713 799 6 from from IN 39713 799 7 the the DT 39713 799 8 definition definition NN 39713 799 9 of of IN 39713 799 10 the the DT 39713 799 11 straight straight JJ 39713 799 12 line line NN 39713 799 13 . . . 39713 800 1 Many many JJ 39713 800 2 defective defective JJ 39713 800 3 definitions definition NNS 39713 800 4 have have VBP 39713 800 5 been be VBN 39713 800 6 given give VBN 39713 800 7 , , , 39713 800 8 but but CC 39713 800 9 the the DT 39713 800 10 true true JJ 39713 800 11 one one NN 39713 800 12 is be VBZ 39713 800 13 that that DT 39713 800 14 which which WDT 39713 800 15 is be VBZ 39713 800 16 implied imply VBN 39713 800 17 in in IN 39713 800 18 all all PDT 39713 800 19 the the DT 39713 800 20 demonstrations demonstration NNS 39713 800 21 where where WRB 39713 800 22 the the DT 39713 800 23 straight straight JJ 39713 800 24 line line NN 39713 800 25 enters enter VBZ 39713 800 26 : : : 39713 800 27 " " `` 39713 800 28 It -PRON- PRP 39713 800 29 may may MD 39713 800 30 happen happen VB 39713 800 31 that that IN 39713 800 32 the the DT 39713 800 33 motion motion NN 39713 800 34 of of IN 39713 800 35 a a DT 39713 800 36 rigid rigid JJ 39713 800 37 figure figure NN 39713 800 38 is be VBZ 39713 800 39 such such JJ 39713 800 40 that that IN 39713 800 41 all all PDT 39713 800 42 the the DT 39713 800 43 points point NNS 39713 800 44 of of IN 39713 800 45 a a DT 39713 800 46 line line NN 39713 800 47 belonging belong VBG 39713 800 48 to to IN 39713 800 49 this this DT 39713 800 50 figure figure NN 39713 800 51 remain remain VBP 39713 800 52 motionless motionless JJ 39713 800 53 while while IN 39713 800 54 all all PDT 39713 800 55 the the DT 39713 800 56 points point NNS 39713 800 57 situated situate VBN 39713 800 58 outside outside IN 39713 800 59 of of IN 39713 800 60 this this DT 39713 800 61 line line NN 39713 800 62 move move NN 39713 800 63 . . . 39713 801 1 Such such PDT 39713 801 2 a a DT 39713 801 3 line line NN 39713 801 4 will will MD 39713 801 5 be be VB 39713 801 6 called call VBN 39713 801 7 a a DT 39713 801 8 straight straight JJ 39713 801 9 line line NN 39713 801 10 . . . 39713 801 11 " " '' 39713 802 1 We -PRON- PRP 39713 802 2 have have VBP 39713 802 3 designedly designedly RB 39713 802 4 , , , 39713 802 5 in in IN 39713 802 6 this this DT 39713 802 7 enunciation enunciation NN 39713 802 8 , , , 39713 802 9 separated separate VBD 39713 802 10 the the DT 39713 802 11 definition definition NN 39713 802 12 from from IN 39713 802 13 the the DT 39713 802 14 axiom axiom NN 39713 802 15 it -PRON- PRP 39713 802 16 implies imply VBZ 39713 802 17 . . . 39713 803 1 Many many JJ 39713 803 2 demonstrations demonstration NNS 39713 803 3 , , , 39713 803 4 such such JJ 39713 803 5 as as IN 39713 803 6 those those DT 39713 803 7 of of IN 39713 803 8 the the DT 39713 803 9 cases case NNS 39713 803 10 of of IN 39713 803 11 the the DT 39713 803 12 equality equality NN 39713 803 13 of of IN 39713 803 14 triangles triangle NNS 39713 803 15 , , , 39713 803 16 of of IN 39713 803 17 the the DT 39713 803 18 possibility possibility NN 39713 803 19 of of IN 39713 803 20 dropping drop VBG 39713 803 21 a a DT 39713 803 22 perpendicular perpendicular NN 39713 803 23 from from IN 39713 803 24 a a DT 39713 803 25 point point NN 39713 803 26 to to IN 39713 803 27 a a DT 39713 803 28 straight straight JJ 39713 803 29 , , , 39713 803 30 presume presume JJ 39713 803 31 propositions proposition NNS 39713 803 32 which which WDT 39713 803 33 are be VBP 39713 803 34 not not RB 39713 803 35 enunciated enunciate VBN 39713 803 36 , , , 39713 803 37 for for IN 39713 803 38 they -PRON- PRP 39713 803 39 require require VBP 39713 803 40 the the DT 39713 803 41 admission admission NN 39713 803 42 that that IN 39713 803 43 it -PRON- PRP 39713 803 44 is be VBZ 39713 803 45 possible possible JJ 39713 803 46 to to TO 39713 803 47 transport transport VB 39713 803 48 a a DT 39713 803 49 figure figure NN 39713 803 50 in in IN 39713 803 51 a a DT 39713 803 52 certain certain JJ 39713 803 53 way way NN 39713 803 54 in in IN 39713 803 55 space space NN 39713 803 56 . . . 39713 804 1 THE the DT 39713 804 2 FOURTH FOURTH NNP 39713 804 3 GEOMETRY.--Among GEOMETRY.--Among NNP 39713 804 4 these these DT 39713 804 5 implicit implicit JJ 39713 804 6 axioms axiom NNS 39713 804 7 , , , 39713 804 8 there there EX 39713 804 9 is be VBZ 39713 804 10 one one CD 39713 804 11 which which WDT 39713 804 12 seems seem VBZ 39713 804 13 to to IN 39713 804 14 me -PRON- PRP 39713 804 15 to to TO 39713 804 16 merit merit VB 39713 804 17 some some DT 39713 804 18 attention attention NN 39713 804 19 , , , 39713 804 20 because because IN 39713 804 21 when when WRB 39713 804 22 it -PRON- PRP 39713 804 23 is be VBZ 39713 804 24 abandoned abandon VBN 39713 804 25 a a DT 39713 804 26 fourth fourth JJ 39713 804 27 geometry geometry NN 39713 804 28 can can MD 39713 804 29 be be VB 39713 804 30 constructed construct VBN 39713 804 31 as as RB 39713 804 32 coherent coherent JJ 39713 804 33 as as IN 39713 804 34 those those DT 39713 804 35 of of IN 39713 804 36 Euclid Euclid NNP 39713 804 37 , , , 39713 804 38 Lobachevski Lobachevski NNP 39713 804 39 and and CC 39713 804 40 Riemann Riemann NNP 39713 804 41 . . . 39713 805 1 To to TO 39713 805 2 prove prove VB 39713 805 3 that that IN 39713 805 4 a a DT 39713 805 5 perpendicular perpendicular NN 39713 805 6 may may MD 39713 805 7 always always RB 39713 805 8 be be VB 39713 805 9 erected erect VBN 39713 805 10 at at IN 39713 805 11 a a DT 39713 805 12 point point NN 39713 805 13 _ _ NNP 39713 805 14 A A NNP 39713 805 15 _ _ NNP 39713 805 16 to to IN 39713 805 17 a a DT 39713 805 18 straight straight JJ 39713 805 19 _ _ NNP 39713 805 20 AB AB NNP 39713 805 21 _ _ NNP 39713 805 22 , , , 39713 805 23 we -PRON- PRP 39713 805 24 consider consider VBP 39713 805 25 a a DT 39713 805 26 straight straight JJ 39713 805 27 _ _ NNP 39713 805 28 AC AC NNP 39713 805 29 _ _ NNP 39713 805 30 movable movable JJ 39713 805 31 around around IN 39713 805 32 the the DT 39713 805 33 point point NN 39713 805 34 _ _ NNP 39713 805 35 A A NNP 39713 805 36 _ _ NNP 39713 805 37 and and CC 39713 805 38 initially initially RB 39713 805 39 coincident coincident JJ 39713 805 40 with with IN 39713 805 41 the the DT 39713 805 42 fixed fix VBN 39713 805 43 straight straight JJ 39713 805 44 _ _ NNP 39713 805 45 AB AB NNP 39713 805 46 _ _ NNP 39713 805 47 ; ; : 39713 805 48 and and CC 39713 805 49 we -PRON- PRP 39713 805 50 make make VBP 39713 805 51 it -PRON- PRP 39713 805 52 turn turn VB 39713 805 53 about about IN 39713 805 54 the the DT 39713 805 55 point point NN 39713 805 56 _ _ NNP 39713 805 57 A A NNP 39713 805 58 _ _ NNP 39713 805 59 until until IN 39713 805 60 it -PRON- PRP 39713 805 61 comes come VBZ 39713 805 62 into into IN 39713 805 63 the the DT 39713 805 64 prolongation prolongation NN 39713 805 65 of of IN 39713 805 66 _ _ NNP 39713 805 67 AB AB NNP 39713 805 68 _ _ NNP 39713 805 69 . . . 39713 806 1 Thus thus RB 39713 806 2 two two CD 39713 806 3 propositions proposition NNS 39713 806 4 are be VBP 39713 806 5 presupposed presuppose VBN 39713 806 6 : : : 39713 806 7 First first RB 39713 806 8 , , , 39713 806 9 that that IN 39713 806 10 such such PDT 39713 806 11 a a DT 39713 806 12 rotation rotation NN 39713 806 13 is be VBZ 39713 806 14 possible possible JJ 39713 806 15 , , , 39713 806 16 and and CC 39713 806 17 next next JJ 39713 806 18 that that IN 39713 806 19 it -PRON- PRP 39713 806 20 may may MD 39713 806 21 be be VB 39713 806 22 continued continue VBN 39713 806 23 until until IN 39713 806 24 the the DT 39713 806 25 two two CD 39713 806 26 straights straight NNS 39713 806 27 come come VBP 39713 806 28 into into IN 39713 806 29 the the DT 39713 806 30 prolongation prolongation NN 39713 806 31 one one CD 39713 806 32 of of IN 39713 806 33 the the DT 39713 806 34 other other JJ 39713 806 35 . . . 39713 807 1 If if IN 39713 807 2 the the DT 39713 807 3 first first JJ 39713 807 4 point point NN 39713 807 5 is be VBZ 39713 807 6 admitted admit VBN 39713 807 7 and and CC 39713 807 8 the the DT 39713 807 9 second second JJ 39713 807 10 rejected reject VBN 39713 807 11 , , , 39713 807 12 we -PRON- PRP 39713 807 13 are be VBP 39713 807 14 led lead VBN 39713 807 15 to to IN 39713 807 16 a a DT 39713 807 17 series series NN 39713 807 18 of of IN 39713 807 19 theorems theorem NNS 39713 807 20 even even RB 39713 807 21 stranger strange JJR 39713 807 22 than than IN 39713 807 23 those those DT 39713 807 24 of of IN 39713 807 25 Lobachevski Lobachevski NNP 39713 807 26 and and CC 39713 807 27 Riemann Riemann NNP 39713 807 28 , , , 39713 807 29 but but CC 39713 807 30 equally equally RB 39713 807 31 exempt exempt JJ 39713 807 32 from from IN 39713 807 33 contradiction contradiction NN 39713 807 34 . . . 39713 808 1 I -PRON- PRP 39713 808 2 shall shall MD 39713 808 3 cite cite VB 39713 808 4 only only RB 39713 808 5 one one CD 39713 808 6 of of IN 39713 808 7 these these DT 39713 808 8 theorems theorem NNS 39713 808 9 and and CC 39713 808 10 that that IN 39713 808 11 not not RB 39713 808 12 the the DT 39713 808 13 most most RBS 39713 808 14 singular singular JJ 39713 808 15 : : : 39713 808 16 _ _ NNP 39713 808 17 A a DT 39713 808 18 real real JJ 39713 808 19 straight straight NN 39713 808 20 may may MD 39713 808 21 be be VB 39713 808 22 perpendicular perpendicular JJ 39713 808 23 to to IN 39713 808 24 itself -PRON- PRP 39713 808 25 _ _ NNP 39713 808 26 . . . 39713 809 1 LIE LIE NNP 39713 809 2 'S 'S NNP 39713 809 3 THEOREM.--The theorem.--the NN 39713 809 4 number number NN 39713 809 5 of of IN 39713 809 6 axioms axiom NNS 39713 809 7 implicitly implicitly RB 39713 809 8 introduced introduce VBN 39713 809 9 in in IN 39713 809 10 the the DT 39713 809 11 classic classic JJ 39713 809 12 demonstrations demonstration NNS 39713 809 13 is be VBZ 39713 809 14 greater great JJR 39713 809 15 than than IN 39713 809 16 necessary necessary JJ 39713 809 17 , , , 39713 809 18 and and CC 39713 809 19 it -PRON- PRP 39713 809 20 would would MD 39713 809 21 be be VB 39713 809 22 interesting interesting JJ 39713 809 23 to to TO 39713 809 24 reduce reduce VB 39713 809 25 it -PRON- PRP 39713 809 26 to to IN 39713 809 27 a a DT 39713 809 28 minimum minimum NN 39713 809 29 . . . 39713 810 1 It -PRON- PRP 39713 810 2 may may MD 39713 810 3 first first RB 39713 810 4 be be VB 39713 810 5 asked ask VBN 39713 810 6 whether whether IN 39713 810 7 this this DT 39713 810 8 reduction reduction NN 39713 810 9 is be VBZ 39713 810 10 possible possible JJ 39713 810 11 , , , 39713 810 12 whether whether IN 39713 810 13 the the DT 39713 810 14 number number NN 39713 810 15 of of IN 39713 810 16 necessary necessary JJ 39713 810 17 axioms axiom NNS 39713 810 18 and and CC 39713 810 19 that that DT 39713 810 20 of of IN 39713 810 21 imaginable imaginable JJ 39713 810 22 geometries geometry NNS 39713 810 23 are be VBP 39713 810 24 not not RB 39713 810 25 infinite infinite JJ 39713 810 26 . . . 39713 811 1 A a DT 39713 811 2 theorem theorem NN 39713 811 3 of of IN 39713 811 4 Sophus Sophus NNP 39713 811 5 Lie Lie NNP 39713 811 6 dominates dominate VBZ 39713 811 7 this this DT 39713 811 8 whole whole JJ 39713 811 9 discussion discussion NN 39713 811 10 . . . 39713 812 1 It -PRON- PRP 39713 812 2 may may MD 39713 812 3 be be VB 39713 812 4 thus thus RB 39713 812 5 enunciated enunciate VBN 39713 812 6 : : : 39713 812 7 Suppose suppose VB 39713 812 8 the the DT 39713 812 9 following follow VBG 39713 812 10 premises premise NNS 39713 812 11 are be VBP 39713 812 12 admitted admit VBN 39713 812 13 : : : 39713 812 14 1º 1º NNS 39713 812 15 Space Space NNP 39713 812 16 has have VBZ 39713 812 17 _ _ NNP 39713 812 18 n n CC 39713 812 19 _ _ NNP 39713 812 20 dimensions dimension NNS 39713 812 21 ; ; : 39713 812 22 2º 2º CD 39713 812 23 The the DT 39713 812 24 motion motion NN 39713 812 25 of of IN 39713 812 26 a a DT 39713 812 27 rigid rigid JJ 39713 812 28 figure figure NN 39713 812 29 is be VBZ 39713 812 30 possible possible JJ 39713 812 31 ; ; : 39713 812 32 3º 3º NN 39713 812 33 It -PRON- PRP 39713 812 34 requires require VBZ 39713 812 35 _ _ NNP 39713 812 36 p p NNP 39713 812 37 _ _ NNP 39713 812 38 conditions condition NNS 39713 812 39 to to TO 39713 812 40 determine determine VB 39713 812 41 the the DT 39713 812 42 position position NN 39713 812 43 of of IN 39713 812 44 this this DT 39713 812 45 figure figure NN 39713 812 46 in in IN 39713 812 47 space space NN 39713 812 48 . . . 39713 813 1 _ _ NNP 39713 813 2 The the DT 39713 813 3 number number NN 39713 813 4 of of IN 39713 813 5 geometries geometry NNS 39713 813 6 compatible compatible JJ 39713 813 7 with with IN 39713 813 8 these these DT 39713 813 9 premises premise NNS 39713 813 10 will will MD 39713 813 11 be be VB 39713 813 12 limited limit VBN 39713 813 13 . . . 39713 813 14 _ _ IN 39713 813 15 I -PRON- PRP 39713 813 16 may may MD 39713 813 17 even even RB 39713 813 18 add add VB 39713 813 19 that that IN 39713 813 20 if if IN 39713 813 21 _ _ NNP 39713 813 22 n n CC 39713 813 23 _ _ NNP 39713 813 24 is be VBZ 39713 813 25 given give VBN 39713 813 26 , , , 39713 813 27 a a DT 39713 813 28 superior superior JJ 39713 813 29 limit limit NN 39713 813 30 can can MD 39713 813 31 be be VB 39713 813 32 assigned assign VBN 39713 813 33 to to IN 39713 813 34 _ _ NNP 39713 813 35 p p NNP 39713 813 36 _ _ NNP 39713 813 37 . . . 39713 814 1 If if IN 39713 814 2 therefore therefore RB 39713 814 3 the the DT 39713 814 4 possibility possibility NN 39713 814 5 of of IN 39713 814 6 motion motion NN 39713 814 7 is be VBZ 39713 814 8 admitted admit VBN 39713 814 9 , , , 39713 814 10 there there EX 39713 814 11 can can MD 39713 814 12 be be VB 39713 814 13 invented invent VBN 39713 814 14 only only RB 39713 814 15 a a DT 39713 814 16 finite finite NN 39713 814 17 ( ( -LRB- 39713 814 18 and and CC 39713 814 19 even even RB 39713 814 20 a a DT 39713 814 21 rather rather RB 39713 814 22 small small JJ 39713 814 23 ) ) -RRB- 39713 814 24 number number NN 39713 814 25 of of IN 39713 814 26 three three CD 39713 814 27 - - HYPH 39713 814 28 dimensional dimensional JJ 39713 814 29 geometries geometry NNS 39713 814 30 . . . 39713 815 1 RIEMANN RIEMANN NNP 39713 815 2 'S 'S NNP 39713 815 3 GEOMETRIES.--Yet GEOMETRIES.--Yet '' 39713 815 4 this this DT 39713 815 5 result result NN 39713 815 6 seems seem VBZ 39713 815 7 contradicted contradict VBN 39713 815 8 by by IN 39713 815 9 Riemann Riemann NNP 39713 815 10 , , , 39713 815 11 for for IN 39713 815 12 this this DT 39713 815 13 savant savant JJ 39713 815 14 constructs construct VBZ 39713 815 15 an an DT 39713 815 16 infinity infinity NN 39713 815 17 of of IN 39713 815 18 different different JJ 39713 815 19 geometries geometry NNS 39713 815 20 , , , 39713 815 21 and and CC 39713 815 22 that that IN 39713 815 23 to to TO 39713 815 24 which which WDT 39713 815 25 his -PRON- PRP$ 39713 815 26 name name NN 39713 815 27 is be VBZ 39713 815 28 ordinarily ordinarily RB 39713 815 29 given give VBN 39713 815 30 is be VBZ 39713 815 31 only only RB 39713 815 32 a a DT 39713 815 33 particular particular JJ 39713 815 34 case case NN 39713 815 35 . . . 39713 816 1 All all DT 39713 816 2 depends depend VBZ 39713 816 3 , , , 39713 816 4 he -PRON- PRP 39713 816 5 says say VBZ 39713 816 6 , , , 39713 816 7 on on IN 39713 816 8 how how WRB 39713 816 9 the the DT 39713 816 10 length length NN 39713 816 11 of of IN 39713 816 12 a a DT 39713 816 13 curve curve NN 39713 816 14 is be VBZ 39713 816 15 defined define VBN 39713 816 16 . . . 39713 817 1 Now now RB 39713 817 2 , , , 39713 817 3 there there EX 39713 817 4 is be VBZ 39713 817 5 an an DT 39713 817 6 infinity infinity NN 39713 817 7 of of IN 39713 817 8 ways way NNS 39713 817 9 of of IN 39713 817 10 defining define VBG 39713 817 11 this this DT 39713 817 12 length length NN 39713 817 13 , , , 39713 817 14 and and CC 39713 817 15 each each DT 39713 817 16 of of IN 39713 817 17 them -PRON- PRP 39713 817 18 may may MD 39713 817 19 be be VB 39713 817 20 the the DT 39713 817 21 starting starting NN 39713 817 22 point point NN 39713 817 23 of of IN 39713 817 24 a a DT 39713 817 25 new new JJ 39713 817 26 geometry geometry NN 39713 817 27 . . . 39713 818 1 That that DT 39713 818 2 is be VBZ 39713 818 3 perfectly perfectly RB 39713 818 4 true true JJ 39713 818 5 , , , 39713 818 6 but but CC 39713 818 7 most most JJS 39713 818 8 of of IN 39713 818 9 these these DT 39713 818 10 definitions definition NNS 39713 818 11 are be VBP 39713 818 12 incompatible incompatible JJ 39713 818 13 with with IN 39713 818 14 the the DT 39713 818 15 motion motion NN 39713 818 16 of of IN 39713 818 17 a a DT 39713 818 18 rigid rigid JJ 39713 818 19 figure figure NN 39713 818 20 , , , 39713 818 21 which which WDT 39713 818 22 in in IN 39713 818 23 the the DT 39713 818 24 theorem theorem NN 39713 818 25 of of IN 39713 818 26 Lie Lie NNP 39713 818 27 is be VBZ 39713 818 28 supposed suppose VBN 39713 818 29 possible possible JJ 39713 818 30 . . . 39713 819 1 These these DT 39713 819 2 geometries geometry NNS 39713 819 3 of of IN 39713 819 4 Riemann Riemann NNP 39713 819 5 , , , 39713 819 6 in in IN 39713 819 7 many many JJ 39713 819 8 ways way NNS 39713 819 9 so so RB 39713 819 10 interesting interesting JJ 39713 819 11 , , , 39713 819 12 could could MD 39713 819 13 never never RB 39713 819 14 therefore therefore RB 39713 819 15 be be VB 39713 819 16 other other JJ 39713 819 17 than than IN 39713 819 18 purely purely RB 39713 819 19 analytic analytic JJ 39713 819 20 and and CC 39713 819 21 would would MD 39713 819 22 not not RB 39713 819 23 lend lend VB 39713 819 24 themselves -PRON- PRP 39713 819 25 to to IN 39713 819 26 demonstrations demonstration NNS 39713 819 27 analogous analogous JJ 39713 819 28 to to IN 39713 819 29 those those DT 39713 819 30 of of IN 39713 819 31 Euclid Euclid NNP 39713 819 32 . . . 39713 820 1 ON on IN 39713 820 2 THE the DT 39713 820 3 NATURE NATURE NNP 39713 820 4 OF of IN 39713 820 5 AXIOMS.--Most axioms.--most JJ 39713 820 6 mathematicians mathematician NNS 39713 820 7 regard regard VBP 39713 820 8 Lobachevski Lobachevski NNP 39713 820 9 's 's POS 39713 820 10 geometry geometry NN 39713 820 11 only only RB 39713 820 12 as as IN 39713 820 13 a a DT 39713 820 14 mere mere JJ 39713 820 15 logical logical JJ 39713 820 16 curiosity curiosity NN 39713 820 17 ; ; : 39713 820 18 some some DT 39713 820 19 of of IN 39713 820 20 them -PRON- PRP 39713 820 21 , , , 39713 820 22 however however RB 39713 820 23 , , , 39713 820 24 have have VBP 39713 820 25 gone go VBN 39713 820 26 farther farther RB 39713 820 27 . . . 39713 821 1 Since since IN 39713 821 2 several several JJ 39713 821 3 geometries geometry NNS 39713 821 4 are be VBP 39713 821 5 possible possible JJ 39713 821 6 , , , 39713 821 7 is be VBZ 39713 821 8 it -PRON- PRP 39713 821 9 certain certain JJ 39713 821 10 ours ours JJ 39713 821 11 is be VBZ 39713 821 12 the the DT 39713 821 13 true true JJ 39713 821 14 one one NN 39713 821 15 ? ? . 39713 822 1 Experience experience NN 39713 822 2 no no RB 39713 822 3 doubt doubt NN 39713 822 4 teaches teach VBZ 39713 822 5 us -PRON- PRP 39713 822 6 that that IN 39713 822 7 the the DT 39713 822 8 sum sum NN 39713 822 9 of of IN 39713 822 10 the the DT 39713 822 11 angles angle NNS 39713 822 12 of of IN 39713 822 13 a a DT 39713 822 14 triangle triangle NN 39713 822 15 is be VBZ 39713 822 16 equal equal JJ 39713 822 17 to to IN 39713 822 18 two two CD 39713 822 19 right right JJ 39713 822 20 angles angle NNS 39713 822 21 ; ; : 39713 822 22 but but CC 39713 822 23 this this DT 39713 822 24 is be VBZ 39713 822 25 because because IN 39713 822 26 the the DT 39713 822 27 triangles triangle NNS 39713 822 28 we -PRON- PRP 39713 822 29 deal deal VBP 39713 822 30 with with IN 39713 822 31 are be VBP 39713 822 32 too too RB 39713 822 33 little little JJ 39713 822 34 ; ; : 39713 822 35 the the DT 39713 822 36 difference difference NN 39713 822 37 , , , 39713 822 38 according accord VBG 39713 822 39 to to IN 39713 822 40 Lobachevski Lobachevski NNP 39713 822 41 , , , 39713 822 42 is be VBZ 39713 822 43 proportional proportional JJ 39713 822 44 to to IN 39713 822 45 the the DT 39713 822 46 surface surface NN 39713 822 47 of of IN 39713 822 48 the the DT 39713 822 49 triangle triangle NN 39713 822 50 ; ; : 39713 822 51 will will MD 39713 822 52 it -PRON- PRP 39713 822 53 not not RB 39713 822 54 perhaps perhaps RB 39713 822 55 become become VB 39713 822 56 sensible sensible JJ 39713 822 57 when when WRB 39713 822 58 we -PRON- PRP 39713 822 59 shall shall MD 39713 822 60 operate operate VB 39713 822 61 on on IN 39713 822 62 larger large JJR 39713 822 63 triangles triangle NNS 39713 822 64 or or CC 39713 822 65 when when WRB 39713 822 66 our -PRON- PRP$ 39713 822 67 measurements measurement NNS 39713 822 68 shall shall MD 39713 822 69 become become VB 39713 822 70 more more RBR 39713 822 71 precise precise JJ 39713 822 72 ? ? . 39713 823 1 The the DT 39713 823 2 Euclidean euclidean JJ 39713 823 3 geometry geometry NN 39713 823 4 would would MD 39713 823 5 thus thus RB 39713 823 6 be be VB 39713 823 7 only only RB 39713 823 8 a a DT 39713 823 9 provisional provisional JJ 39713 823 10 geometry geometry NN 39713 823 11 . . . 39713 824 1 To to TO 39713 824 2 discuss discuss VB 39713 824 3 this this DT 39713 824 4 opinion opinion NN 39713 824 5 , , , 39713 824 6 we -PRON- PRP 39713 824 7 should should MD 39713 824 8 first first RB 39713 824 9 ask ask VB 39713 824 10 ourselves -PRON- PRP 39713 824 11 what what WP 39713 824 12 is be VBZ 39713 824 13 the the DT 39713 824 14 nature nature NN 39713 824 15 of of IN 39713 824 16 the the DT 39713 824 17 geometric geometric JJ 39713 824 18 axioms axiom NNS 39713 824 19 . . . 39713 825 1 Are be VBP 39713 825 2 they -PRON- PRP 39713 825 3 synthetic synthetic JJ 39713 825 4 _ _ NNP 39713 825 5 a a DT 39713 825 6 priori priori FW 39713 825 7 _ _ NNP 39713 825 8 judgments judgment NNS 39713 825 9 , , , 39713 825 10 as as IN 39713 825 11 Kant Kant NNP 39713 825 12 said say VBD 39713 825 13 ? ? . 39713 826 1 They -PRON- PRP 39713 826 2 would would MD 39713 826 3 then then RB 39713 826 4 impose impose VB 39713 826 5 themselves -PRON- PRP 39713 826 6 upon upon IN 39713 826 7 us -PRON- PRP 39713 826 8 with with IN 39713 826 9 such such JJ 39713 826 10 force force NN 39713 826 11 that that IN 39713 826 12 we -PRON- PRP 39713 826 13 could could MD 39713 826 14 not not RB 39713 826 15 conceive conceive VB 39713 826 16 the the DT 39713 826 17 contrary contrary JJ 39713 826 18 proposition proposition NN 39713 826 19 , , , 39713 826 20 nor nor CC 39713 826 21 build build VB 39713 826 22 upon upon IN 39713 826 23 it -PRON- PRP 39713 826 24 a a DT 39713 826 25 theoretic theoretic JJ 39713 826 26 edifice edifice NN 39713 826 27 . . . 39713 827 1 There there EX 39713 827 2 would would MD 39713 827 3 be be VB 39713 827 4 no no DT 39713 827 5 non non JJ 39713 827 6 - - JJ 39713 827 7 Euclidean euclidean JJ 39713 827 8 geometry geometry NN 39713 827 9 . . . 39713 828 1 To to TO 39713 828 2 be be VB 39713 828 3 convinced convince VBN 39713 828 4 of of IN 39713 828 5 it -PRON- PRP 39713 828 6 take take VB 39713 828 7 a a DT 39713 828 8 veritable veritable JJ 39713 828 9 synthetic synthetic JJ 39713 828 10 _ _ NNP 39713 828 11 a a DT 39713 828 12 priori priori FW 39713 828 13 _ _ NNP 39713 828 14 judgment judgment NN 39713 828 15 , , , 39713 828 16 the the DT 39713 828 17 following following NN 39713 828 18 , , , 39713 828 19 for for IN 39713 828 20 instance instance NN 39713 828 21 , , , 39713 828 22 of of IN 39713 828 23 which which WDT 39713 828 24 we -PRON- PRP 39713 828 25 have have VBP 39713 828 26 seen see VBN 39713 828 27 the the DT 39713 828 28 preponderant preponderant NN 39713 828 29 rôle rôle VB 39713 828 30 in in IN 39713 828 31 the the DT 39713 828 32 first first JJ 39713 828 33 chapter chapter NN 39713 828 34 : : : 39713 828 35 _ _ XX 39713 828 36 If if IN 39713 828 37 a a DT 39713 828 38 theorem theorem NN 39713 828 39 is be VBZ 39713 828 40 true true JJ 39713 828 41 for for IN 39713 828 42 the the DT 39713 828 43 number number NN 39713 828 44 1 1 CD 39713 828 45 , , , 39713 828 46 and and CC 39713 828 47 if if IN 39713 828 48 it -PRON- PRP 39713 828 49 has have VBZ 39713 828 50 been be VBN 39713 828 51 proved prove VBN 39713 828 52 that that IN 39713 828 53 it -PRON- PRP 39713 828 54 is be VBZ 39713 828 55 true true JJ 39713 828 56 of of IN 39713 828 57 n n NN 39713 828 58 + + SYM 39713 828 59 1 1 CD 39713 828 60 provided provide VBN 39713 828 61 it -PRON- PRP 39713 828 62 is be VBZ 39713 828 63 true true JJ 39713 828 64 of of IN 39713 828 65 n n JJ 39713 828 66 , , , 39713 828 67 it -PRON- PRP 39713 828 68 will will MD 39713 828 69 be be VB 39713 828 70 true true JJ 39713 828 71 of of IN 39713 828 72 all all PDT 39713 828 73 the the DT 39713 828 74 positive positive JJ 39713 828 75 whole whole JJ 39713 828 76 numbers number NNS 39713 828 77 . . . 39713 828 78 _ _ NNP 39713 828 79 Then then RB 39713 828 80 try try VB 39713 828 81 to to TO 39713 828 82 escape escape VB 39713 828 83 from from IN 39713 828 84 that that DT 39713 828 85 and and CC 39713 828 86 , , , 39713 828 87 denying deny VBG 39713 828 88 this this DT 39713 828 89 proposition proposition NN 39713 828 90 , , , 39713 828 91 try try VB 39713 828 92 to to TO 39713 828 93 found found VB 39713 828 94 a a DT 39713 828 95 false false JJ 39713 828 96 arithmetic arithmetic JJ 39713 828 97 analogous analogous JJ 39713 828 98 to to IN 39713 828 99 non non JJ 39713 828 100 - - JJ 39713 828 101 Euclidean euclidean JJ 39713 828 102 geometry geometry NN 39713 828 103 -- -- : 39713 828 104 it -PRON- PRP 39713 828 105 can can MD 39713 828 106 not not RB 39713 828 107 be be VB 39713 828 108 done do VBN 39713 828 109 ; ; : 39713 828 110 one one PRP 39713 828 111 would would MD 39713 828 112 even even RB 39713 828 113 be be VB 39713 828 114 tempted tempt VBN 39713 828 115 at at IN 39713 828 116 first first JJ 39713 828 117 blush blush NN 39713 828 118 to to TO 39713 828 119 regard regard VB 39713 828 120 these these DT 39713 828 121 judgments judgment NNS 39713 828 122 as as IN 39713 828 123 analytic analytic JJ 39713 828 124 . . . 39713 829 1 Moreover moreover RB 39713 829 2 , , , 39713 829 3 resuming resume VBG 39713 829 4 our -PRON- PRP$ 39713 829 5 fiction fiction NN 39713 829 6 of of IN 39713 829 7 animals animal NNS 39713 829 8 without without IN 39713 829 9 thickness thickness NN 39713 829 10 , , , 39713 829 11 we -PRON- PRP 39713 829 12 can can MD 39713 829 13 hardly hardly RB 39713 829 14 admit admit VB 39713 829 15 that that IN 39713 829 16 these these DT 39713 829 17 beings being NNS 39713 829 18 , , , 39713 829 19 if if IN 39713 829 20 their -PRON- PRP$ 39713 829 21 minds mind NNS 39713 829 22 are be VBP 39713 829 23 like like IN 39713 829 24 ours -PRON- PRP 39713 829 25 , , , 39713 829 26 would would MD 39713 829 27 adopt adopt VB 39713 829 28 the the DT 39713 829 29 Euclidean euclidean JJ 39713 829 30 geometry geometry NN 39713 829 31 which which WDT 39713 829 32 would would MD 39713 829 33 be be VB 39713 829 34 contradicted contradict VBN 39713 829 35 by by IN 39713 829 36 all all DT 39713 829 37 their -PRON- PRP$ 39713 829 38 experience experience NN 39713 829 39 . . . 39713 830 1 Should Should MD 39713 830 2 we -PRON- PRP 39713 830 3 therefore therefore RB 39713 830 4 conclude conclude VB 39713 830 5 that that IN 39713 830 6 the the DT 39713 830 7 axioms axiom NNS 39713 830 8 of of IN 39713 830 9 geometry geometry NN 39713 830 10 are be VBP 39713 830 11 experimental experimental JJ 39713 830 12 verities verity NNS 39713 830 13 ? ? . 39713 831 1 But but CC 39713 831 2 we -PRON- PRP 39713 831 3 do do VBP 39713 831 4 not not RB 39713 831 5 experiment experiment VB 39713 831 6 on on IN 39713 831 7 ideal ideal JJ 39713 831 8 straights straight NNS 39713 831 9 or or CC 39713 831 10 circles circle NNS 39713 831 11 ; ; : 39713 831 12 it -PRON- PRP 39713 831 13 can can MD 39713 831 14 only only RB 39713 831 15 be be VB 39713 831 16 done do VBN 39713 831 17 on on IN 39713 831 18 material material JJ 39713 831 19 objects object NNS 39713 831 20 . . . 39713 832 1 On on IN 39713 832 2 what what WP 39713 832 3 then then RB 39713 832 4 could could MD 39713 832 5 be be VB 39713 832 6 based base VBN 39713 832 7 experiments experiment NNS 39713 832 8 which which WDT 39713 832 9 should should MD 39713 832 10 serve serve VB 39713 832 11 as as IN 39713 832 12 foundation foundation NN 39713 832 13 for for IN 39713 832 14 geometry geometry NN 39713 832 15 ? ? . 39713 833 1 The the DT 39713 833 2 answer answer NN 39713 833 3 is be VBZ 39713 833 4 easy easy JJ 39713 833 5 . . . 39713 834 1 We -PRON- PRP 39713 834 2 have have VBP 39713 834 3 seen see VBN 39713 834 4 above above IN 39713 834 5 that that IN 39713 834 6 we -PRON- PRP 39713 834 7 constantly constantly RB 39713 834 8 reason reason VBP 39713 834 9 as as IN 39713 834 10 if if IN 39713 834 11 the the DT 39713 834 12 geometric geometric JJ 39713 834 13 figures figure NNS 39713 834 14 behaved behave VBD 39713 834 15 like like IN 39713 834 16 solids solid NNS 39713 834 17 . . . 39713 835 1 What what WDT 39713 835 2 geometry geometry NN 39713 835 3 would would MD 39713 835 4 borrow borrow VB 39713 835 5 from from IN 39713 835 6 experience experience NN 39713 835 7 would would MD 39713 835 8 therefore therefore RB 39713 835 9 be be VB 39713 835 10 the the DT 39713 835 11 properties property NNS 39713 835 12 of of IN 39713 835 13 these these DT 39713 835 14 bodies body NNS 39713 835 15 . . . 39713 836 1 The the DT 39713 836 2 properties property NNS 39713 836 3 of of IN 39713 836 4 light light NN 39713 836 5 and and CC 39713 836 6 its -PRON- PRP$ 39713 836 7 rectilinear rectilinear JJ 39713 836 8 propagation propagation NN 39713 836 9 have have VBP 39713 836 10 also also RB 39713 836 11 given give VBN 39713 836 12 rise rise NN 39713 836 13 to to IN 39713 836 14 some some DT 39713 836 15 of of IN 39713 836 16 the the DT 39713 836 17 propositions proposition NNS 39713 836 18 of of IN 39713 836 19 geometry geometry NN 39713 836 20 , , , 39713 836 21 and and CC 39713 836 22 in in IN 39713 836 23 particular particular JJ 39713 836 24 those those DT 39713 836 25 of of IN 39713 836 26 projective projective JJ 39713 836 27 geometry geometry NN 39713 836 28 , , , 39713 836 29 so so IN 39713 836 30 that that IN 39713 836 31 from from IN 39713 836 32 this this DT 39713 836 33 point point NN 39713 836 34 of of IN 39713 836 35 view view NN 39713 836 36 one one PRP 39713 836 37 would would MD 39713 836 38 be be VB 39713 836 39 tempted tempt VBN 39713 836 40 to to TO 39713 836 41 say say VB 39713 836 42 that that IN 39713 836 43 metric metric JJ 39713 836 44 geometry geometry NN 39713 836 45 is be VBZ 39713 836 46 the the DT 39713 836 47 study study NN 39713 836 48 of of IN 39713 836 49 solids solid NNS 39713 836 50 , , , 39713 836 51 and and CC 39713 836 52 projective projective NN 39713 836 53 , , , 39713 836 54 that that DT 39713 836 55 of of IN 39713 836 56 light light NN 39713 836 57 . . . 39713 837 1 But but CC 39713 837 2 a a DT 39713 837 3 difficulty difficulty NN 39713 837 4 remains remain VBZ 39713 837 5 , , , 39713 837 6 and and CC 39713 837 7 it -PRON- PRP 39713 837 8 is be VBZ 39713 837 9 insurmountable insurmountable JJ 39713 837 10 . . . 39713 838 1 If if IN 39713 838 2 geometry geometry NN 39713 838 3 were be VBD 39713 838 4 an an DT 39713 838 5 experimental experimental JJ 39713 838 6 science science NN 39713 838 7 , , , 39713 838 8 it -PRON- PRP 39713 838 9 would would MD 39713 838 10 not not RB 39713 838 11 be be VB 39713 838 12 an an DT 39713 838 13 exact exact JJ 39713 838 14 science science NN 39713 838 15 , , , 39713 838 16 it -PRON- PRP 39713 838 17 would would MD 39713 838 18 be be VB 39713 838 19 subject subject JJ 39713 838 20 to to IN 39713 838 21 a a DT 39713 838 22 continual continual JJ 39713 838 23 revision revision NN 39713 838 24 . . . 39713 839 1 Nay nay UH 39713 839 2 , , , 39713 839 3 it -PRON- PRP 39713 839 4 would would MD 39713 839 5 from from IN 39713 839 6 this this DT 39713 839 7 very very JJ 39713 839 8 day day NN 39713 839 9 be be VB 39713 839 10 convicted convict VBN 39713 839 11 of of IN 39713 839 12 error error NN 39713 839 13 , , , 39713 839 14 since since IN 39713 839 15 we -PRON- PRP 39713 839 16 know know VBP 39713 839 17 that that IN 39713 839 18 there there EX 39713 839 19 is be VBZ 39713 839 20 no no DT 39713 839 21 rigorously rigorously RB 39713 839 22 rigid rigid JJ 39713 839 23 solid solid RB 39713 839 24 . . . 39713 840 1 The the DT 39713 840 2 _ _ NNP 39713 840 3 axioms axiom NNS 39713 840 4 of of IN 39713 840 5 geometry geometry NN 39713 840 6 therefore therefore RB 39713 840 7 are be VBP 39713 840 8 neither neither RB 39713 840 9 synthetic synthetic JJ 39713 840 10 _ _ NNP 39713 840 11 a a DT 39713 840 12 priori priori FW 39713 840 13 _ _ NNP 39713 840 14 judgments judgment NNS 39713 840 15 nor nor CC 39713 840 16 experimental experimental JJ 39713 840 17 facts fact NNS 39713 840 18 _ _ NNP 39713 840 19 . . . 39713 841 1 They -PRON- PRP 39713 841 2 are be VBP 39713 841 3 _ _ NNP 39713 841 4 conventions convention NNS 39713 841 5 _ _ NNP 39713 841 6 ; ; : 39713 841 7 our -PRON- PRP$ 39713 841 8 choice choice NN 39713 841 9 among among IN 39713 841 10 all all DT 39713 841 11 possible possible JJ 39713 841 12 conventions convention NNS 39713 841 13 is be VBZ 39713 841 14 _ _ NNP 39713 841 15 guided guide VBN 39713 841 16 _ _ NNP 39713 841 17 by by IN 39713 841 18 experimental experimental JJ 39713 841 19 facts fact NNS 39713 841 20 ; ; : 39713 841 21 but but CC 39713 841 22 it -PRON- PRP 39713 841 23 remains remain VBZ 39713 841 24 _ _ NNP 39713 841 25 free free JJ 39713 841 26 _ _ NNP 39713 841 27 and and CC 39713 841 28 is be VBZ 39713 841 29 limited limit VBN 39713 841 30 only only RB 39713 841 31 by by IN 39713 841 32 the the DT 39713 841 33 necessity necessity NN 39713 841 34 of of IN 39713 841 35 avoiding avoid VBG 39713 841 36 all all DT 39713 841 37 contradiction contradiction NN 39713 841 38 . . . 39713 842 1 Thus thus RB 39713 842 2 it -PRON- PRP 39713 842 3 is be VBZ 39713 842 4 that that IN 39713 842 5 the the DT 39713 842 6 postulates postulate NNS 39713 842 7 can can MD 39713 842 8 remain remain VB 39713 842 9 _ _ NNP 39713 842 10 rigorously rigorously RB 39713 842 11 _ _ NNP 39713 842 12 true true JJ 39713 842 13 even even RB 39713 842 14 though though IN 39713 842 15 the the DT 39713 842 16 experimental experimental JJ 39713 842 17 laws law NNS 39713 842 18 which which WDT 39713 842 19 have have VBP 39713 842 20 determined determine VBN 39713 842 21 their -PRON- PRP$ 39713 842 22 adoption adoption NN 39713 842 23 are be VBP 39713 842 24 only only RB 39713 842 25 approximative approximative JJ 39713 842 26 . . . 39713 843 1 In in IN 39713 843 2 other other JJ 39713 843 3 words word NNS 39713 843 4 , , , 39713 843 5 _ _ NNP 39713 843 6 the the DT 39713 843 7 axioms axiom NNS 39713 843 8 of of IN 39713 843 9 geometry geometry NN 39713 843 10 _ _ NNP 39713 843 11 ( ( -LRB- 39713 843 12 I -PRON- PRP 39713 843 13 do do VBP 39713 843 14 not not RB 39713 843 15 speak speak VB 39713 843 16 of of IN 39713 843 17 those those DT 39713 843 18 of of IN 39713 843 19 arithmetic arithmetic JJ 39713 843 20 ) ) -RRB- 39713 843 21 _ _ NNP 39713 843 22 are be VBP 39713 843 23 merely merely RB 39713 843 24 disguised disguised JJ 39713 843 25 definitions definition NNS 39713 843 26 _ _ NNP 39713 843 27 . . . 39713 844 1 Then then RB 39713 844 2 what what WP 39713 844 3 are be VBP 39713 844 4 we -PRON- PRP 39713 844 5 to to TO 39713 844 6 think think VB 39713 844 7 of of IN 39713 844 8 that that DT 39713 844 9 question question NN 39713 844 10 : : : 39713 844 11 Is be VBZ 39713 844 12 the the DT 39713 844 13 Euclidean Euclidean NNP 39713 844 14 geometry geometry NN 39713 844 15 true true JJ 39713 844 16 ? ? . 39713 845 1 It -PRON- PRP 39713 845 2 has have VBZ 39713 845 3 no no DT 39713 845 4 meaning meaning NN 39713 845 5 . . . 39713 846 1 As as IN 39713 846 2 well well RB 39713 846 3 ask ask VB 39713 846 4 whether whether IN 39713 846 5 the the DT 39713 846 6 metric metric JJ 39713 846 7 system system NN 39713 846 8 is be VBZ 39713 846 9 true true JJ 39713 846 10 and and CC 39713 846 11 the the DT 39713 846 12 old old JJ 39713 846 13 measures measure NNS 39713 846 14 false false JJ 39713 846 15 ; ; : 39713 846 16 whether whether IN 39713 846 17 Cartesian cartesian JJ 39713 846 18 coordinates coordinate NNS 39713 846 19 are be VBP 39713 846 20 true true JJ 39713 846 21 and and CC 39713 846 22 polar polar JJ 39713 846 23 coordinates coordinate NNS 39713 846 24 false false JJ 39713 846 25 . . . 39713 847 1 One one CD 39713 847 2 geometry geometry NN 39713 847 3 can can MD 39713 847 4 not not RB 39713 847 5 be be VB 39713 847 6 more more RBR 39713 847 7 true true JJ 39713 847 8 than than IN 39713 847 9 another another DT 39713 847 10 ; ; : 39713 847 11 it -PRON- PRP 39713 847 12 can can MD 39713 847 13 only only RB 39713 847 14 be be VB 39713 847 15 _ _ NNP 39713 847 16 more more RBR 39713 847 17 convenient convenient JJ 39713 847 18 _ _ NNP 39713 847 19 . . . 39713 848 1 Now now RB 39713 848 2 , , , 39713 848 3 Euclidean euclidean JJ 39713 848 4 geometry geometry NN 39713 848 5 is be VBZ 39713 848 6 , , , 39713 848 7 and and CC 39713 848 8 will will MD 39713 848 9 remain remain VB 39713 848 10 , , , 39713 848 11 the the DT 39713 848 12 most most RBS 39713 848 13 convenient convenient JJ 39713 848 14 : : : 39713 848 15 1º 1º CD 39713 848 16 Because because IN 39713 848 17 it -PRON- PRP 39713 848 18 is be VBZ 39713 848 19 the the DT 39713 848 20 simplest simple JJS 39713 848 21 ; ; : 39713 848 22 and and CC 39713 848 23 it -PRON- PRP 39713 848 24 is be VBZ 39713 848 25 so so RB 39713 848 26 not not RB 39713 848 27 only only RB 39713 848 28 in in IN 39713 848 29 consequence consequence NN 39713 848 30 of of IN 39713 848 31 our -PRON- PRP$ 39713 848 32 mental mental JJ 39713 848 33 habits habit NNS 39713 848 34 , , , 39713 848 35 or or CC 39713 848 36 of of IN 39713 848 37 I -PRON- PRP 39713 848 38 know know VBP 39713 848 39 not not RB 39713 848 40 what what WP 39713 848 41 direct direct JJ 39713 848 42 intuition intuition NN 39713 848 43 that that IN 39713 848 44 we -PRON- PRP 39713 848 45 may may MD 39713 848 46 have have VB 39713 848 47 of of IN 39713 848 48 Euclidean euclidean JJ 39713 848 49 space space NN 39713 848 50 ; ; : 39713 848 51 it -PRON- PRP 39713 848 52 is be VBZ 39713 848 53 the the DT 39713 848 54 simplest simple JJS 39713 848 55 in in IN 39713 848 56 itself -PRON- PRP 39713 848 57 , , , 39713 848 58 just just RB 39713 848 59 as as IN 39713 848 60 a a DT 39713 848 61 polynomial polynomial NN 39713 848 62 of of IN 39713 848 63 the the DT 39713 848 64 first first JJ 39713 848 65 degree degree NN 39713 848 66 is be VBZ 39713 848 67 simpler simple JJR 39713 848 68 than than IN 39713 848 69 one one CD 39713 848 70 of of IN 39713 848 71 the the DT 39713 848 72 second second JJ 39713 848 73 ; ; : 39713 848 74 the the DT 39713 848 75 formulas formula NNS 39713 848 76 of of IN 39713 848 77 spherical spherical JJ 39713 848 78 trigonometry trigonometry NN 39713 848 79 are be VBP 39713 848 80 more more RBR 39713 848 81 complicated complicated JJ 39713 848 82 than than IN 39713 848 83 those those DT 39713 848 84 of of IN 39713 848 85 plane plane NN 39713 848 86 trigonometry trigonometry NN 39713 848 87 , , , 39713 848 88 and and CC 39713 848 89 they -PRON- PRP 39713 848 90 would would MD 39713 848 91 still still RB 39713 848 92 appear appear VB 39713 848 93 so so RB 39713 848 94 to to IN 39713 848 95 an an DT 39713 848 96 analyst analyst NN 39713 848 97 ignorant ignorant JJ 39713 848 98 of of IN 39713 848 99 their -PRON- PRP$ 39713 848 100 geometric geometric JJ 39713 848 101 signification signification NN 39713 848 102 . . . 39713 849 1 2º 2º NNS 39713 849 2 Because because IN 39713 849 3 it -PRON- PRP 39713 849 4 accords accord VBZ 39713 849 5 sufficiently sufficiently RB 39713 849 6 well well RB 39713 849 7 with with IN 39713 849 8 the the DT 39713 849 9 properties property NNS 39713 849 10 of of IN 39713 849 11 natural natural JJ 39713 849 12 solids solid NNS 39713 849 13 , , , 39713 849 14 those those DT 39713 849 15 bodies body NNS 39713 849 16 which which WDT 39713 849 17 our -PRON- PRP$ 39713 849 18 hands hand NNS 39713 849 19 and and CC 39713 849 20 our -PRON- PRP$ 39713 849 21 eyes eye NNS 39713 849 22 compare compare VBP 39713 849 23 and and CC 39713 849 24 with with IN 39713 849 25 which which WDT 39713 849 26 we -PRON- PRP 39713 849 27 make make VBP 39713 849 28 our -PRON- PRP$ 39713 849 29 instruments instrument NNS 39713 849 30 of of IN 39713 849 31 measure measure NN 39713 849 32 . . . 39713 850 1 CHAPTER CHAPTER NNP 39713 850 2 IV IV NNP 39713 850 3 SPACE SPACE NNP 39713 850 4 AND and CC 39713 850 5 GEOMETRY GEOMETRY NNP 39713 850 6 Let let VBP 39713 850 7 us -PRON- PRP 39713 850 8 begin begin VB 39713 850 9 by by IN 39713 850 10 a a DT 39713 850 11 little little JJ 39713 850 12 paradox paradox NN 39713 850 13 . . . 39713 851 1 Beings being NNS 39713 851 2 with with IN 39713 851 3 minds mind NNS 39713 851 4 like like IN 39713 851 5 ours -PRON- PRP 39713 851 6 , , , 39713 851 7 and and CC 39713 851 8 having have VBG 39713 851 9 the the DT 39713 851 10 same same JJ 39713 851 11 senses sense NNS 39713 851 12 as as IN 39713 851 13 we -PRON- PRP 39713 851 14 , , , 39713 851 15 but but CC 39713 851 16 without without IN 39713 851 17 previous previous JJ 39713 851 18 education education NN 39713 851 19 , , , 39713 851 20 would would MD 39713 851 21 receive receive VB 39713 851 22 from from IN 39713 851 23 a a DT 39713 851 24 suitably suitably RB 39713 851 25 chosen choose VBN 39713 851 26 external external JJ 39713 851 27 world world NN 39713 851 28 impressions impression NNS 39713 851 29 such such JJ 39713 851 30 that that IN 39713 851 31 they -PRON- PRP 39713 851 32 would would MD 39713 851 33 be be VB 39713 851 34 led lead VBN 39713 851 35 to to TO 39713 851 36 construct construct VB 39713 851 37 a a DT 39713 851 38 geometry geometry NN 39713 851 39 other other JJ 39713 851 40 than than IN 39713 851 41 that that DT 39713 851 42 of of IN 39713 851 43 Euclid Euclid NNP 39713 851 44 and and CC 39713 851 45 to to TO 39713 851 46 localize localize VB 39713 851 47 the the DT 39713 851 48 phenomena phenomenon NNS 39713 851 49 of of IN 39713 851 50 that that DT 39713 851 51 external external JJ 39713 851 52 world world NN 39713 851 53 in in IN 39713 851 54 a a DT 39713 851 55 non non JJ 39713 851 56 - - JJ 39713 851 57 Euclidean euclidean JJ 39713 851 58 space space NN 39713 851 59 , , , 39713 851 60 or or CC 39713 851 61 even even RB 39713 851 62 in in IN 39713 851 63 a a DT 39713 851 64 space space NN 39713 851 65 of of IN 39713 851 66 four four CD 39713 851 67 dimensions dimension NNS 39713 851 68 . . . 39713 852 1 As as IN 39713 852 2 for for IN 39713 852 3 us -PRON- PRP 39713 852 4 , , , 39713 852 5 whose whose WP$ 39713 852 6 education education NN 39713 852 7 has have VBZ 39713 852 8 been be VBN 39713 852 9 accomplished accomplish VBN 39713 852 10 by by IN 39713 852 11 our -PRON- PRP$ 39713 852 12 actual actual JJ 39713 852 13 world world NN 39713 852 14 , , , 39713 852 15 if if IN 39713 852 16 we -PRON- PRP 39713 852 17 were be VBD 39713 852 18 suddenly suddenly RB 39713 852 19 transported transport VBN 39713 852 20 into into IN 39713 852 21 this this DT 39713 852 22 new new JJ 39713 852 23 world world NN 39713 852 24 , , , 39713 852 25 we -PRON- PRP 39713 852 26 should should MD 39713 852 27 have have VB 39713 852 28 no no DT 39713 852 29 difficulty difficulty NN 39713 852 30 in in IN 39713 852 31 referring refer VBG 39713 852 32 its -PRON- PRP$ 39713 852 33 phenomena phenomenon NNS 39713 852 34 to to IN 39713 852 35 our -PRON- PRP$ 39713 852 36 Euclidean euclidean JJ 39713 852 37 space space NN 39713 852 38 . . . 39713 853 1 Conversely conversely RB 39713 853 2 , , , 39713 853 3 if if IN 39713 853 4 these these DT 39713 853 5 beings being NNS 39713 853 6 were be VBD 39713 853 7 transported transport VBN 39713 853 8 into into IN 39713 853 9 our -PRON- PRP$ 39713 853 10 environment environment NN 39713 853 11 , , , 39713 853 12 they -PRON- PRP 39713 853 13 would would MD 39713 853 14 be be VB 39713 853 15 led lead VBN 39713 853 16 to to TO 39713 853 17 relate relate VB 39713 853 18 our -PRON- PRP$ 39713 853 19 phenomena phenomenon NNS 39713 853 20 to to IN 39713 853 21 non non JJ 39713 853 22 - - JJ 39713 853 23 Euclidean euclidean JJ 39713 853 24 space space NN 39713 853 25 . . . 39713 854 1 Nay nay UH 39713 854 2 more more RBR 39713 854 3 ; ; : 39713 854 4 with with IN 39713 854 5 a a DT 39713 854 6 little little JJ 39713 854 7 effort effort NN 39713 854 8 we -PRON- PRP 39713 854 9 likewise likewise RB 39713 854 10 could could MD 39713 854 11 do do VB 39713 854 12 it -PRON- PRP 39713 854 13 . . . 39713 855 1 A a DT 39713 855 2 person person NN 39713 855 3 who who WP 39713 855 4 should should MD 39713 855 5 devote devote VB 39713 855 6 his -PRON- PRP$ 39713 855 7 existence existence NN 39713 855 8 to to IN 39713 855 9 it -PRON- PRP 39713 855 10 might may MD 39713 855 11 perhaps perhaps RB 39713 855 12 attain attain VB 39713 855 13 to to IN 39713 855 14 a a DT 39713 855 15 realization realization NN 39713 855 16 of of IN 39713 855 17 the the DT 39713 855 18 fourth fourth JJ 39713 855 19 dimension dimension NN 39713 855 20 . . . 39713 856 1 GEOMETRIC geometric NN 39713 856 2 SPACE space NN 39713 856 3 AND and CC 39713 856 4 PERCEPTUAL PERCEPTUAL NNP 39713 856 5 SPACE.--It SPACE.--It NNP 39713 856 6 is be VBZ 39713 856 7 often often RB 39713 856 8 said say VBN 39713 856 9 the the DT 39713 856 10 images image NNS 39713 856 11 of of IN 39713 856 12 external external JJ 39713 856 13 objects object NNS 39713 856 14 are be VBP 39713 856 15 localized localize VBN 39713 856 16 in in IN 39713 856 17 space space NN 39713 856 18 , , , 39713 856 19 even even RB 39713 856 20 that that IN 39713 856 21 they -PRON- PRP 39713 856 22 can can MD 39713 856 23 not not RB 39713 856 24 be be VB 39713 856 25 formed form VBN 39713 856 26 except except IN 39713 856 27 on on IN 39713 856 28 this this DT 39713 856 29 condition condition NN 39713 856 30 . . . 39713 857 1 It -PRON- PRP 39713 857 2 is be VBZ 39713 857 3 also also RB 39713 857 4 said say VBN 39713 857 5 that that IN 39713 857 6 this this DT 39713 857 7 space space NN 39713 857 8 , , , 39713 857 9 which which WDT 39713 857 10 serves serve VBZ 39713 857 11 thus thus RB 39713 857 12 as as IN 39713 857 13 a a DT 39713 857 14 ready ready JJ 39713 857 15 prepared prepare VBN 39713 857 16 _ _ NNP 39713 857 17 frame frame NN 39713 857 18 _ _ NNP 39713 857 19 for for IN 39713 857 20 our -PRON- PRP$ 39713 857 21 sensations sensation NNS 39713 857 22 and and CC 39713 857 23 our -PRON- PRP$ 39713 857 24 representations representation NNS 39713 857 25 , , , 39713 857 26 is be VBZ 39713 857 27 identical identical JJ 39713 857 28 with with IN 39713 857 29 that that DT 39713 857 30 of of IN 39713 857 31 the the DT 39713 857 32 geometers geometer NNS 39713 857 33 , , , 39713 857 34 of of IN 39713 857 35 which which WDT 39713 857 36 it -PRON- PRP 39713 857 37 possesses possess VBZ 39713 857 38 all all PDT 39713 857 39 the the DT 39713 857 40 properties property NNS 39713 857 41 . . . 39713 858 1 To to IN 39713 858 2 all all PDT 39713 858 3 the the DT 39713 858 4 good good JJ 39713 858 5 minds mind NNS 39713 858 6 who who WP 39713 858 7 think think VBP 39713 858 8 thus thus RB 39713 858 9 , , , 39713 858 10 the the DT 39713 858 11 preceding precede VBG 39713 858 12 statement statement NN 39713 858 13 must must MD 39713 858 14 have have VB 39713 858 15 appeared appear VBN 39713 858 16 quite quite RB 39713 858 17 extraordinary extraordinary JJ 39713 858 18 . . . 39713 859 1 But but CC 39713 859 2 let let VB 39713 859 3 us -PRON- PRP 39713 859 4 see see VB 39713 859 5 whether whether IN 39713 859 6 they -PRON- PRP 39713 859 7 are be VBP 39713 859 8 not not RB 39713 859 9 subject subject JJ 39713 859 10 to to IN 39713 859 11 an an DT 39713 859 12 illusion illusion NN 39713 859 13 that that WDT 39713 859 14 a a DT 39713 859 15 more more RBR 39713 859 16 profound profound JJ 39713 859 17 analysis analysis NN 39713 859 18 would would MD 39713 859 19 dissipate dissipate VB 39713 859 20 . . . 39713 860 1 What what WP 39713 860 2 , , , 39713 860 3 first first RB 39713 860 4 of of IN 39713 860 5 all all DT 39713 860 6 , , , 39713 860 7 are be VBP 39713 860 8 the the DT 39713 860 9 properties property NNS 39713 860 10 of of IN 39713 860 11 space space NN 39713 860 12 , , , 39713 860 13 properly properly RB 39713 860 14 so so RB 39713 860 15 called call VBN 39713 860 16 ? ? . 39713 861 1 I -PRON- PRP 39713 861 2 mean mean VBP 39713 861 3 of of IN 39713 861 4 that that DT 39713 861 5 space space NN 39713 861 6 which which WDT 39713 861 7 is be VBZ 39713 861 8 the the DT 39713 861 9 object object NN 39713 861 10 of of IN 39713 861 11 geometry geometry NN 39713 861 12 and and CC 39713 861 13 which which WDT 39713 861 14 I -PRON- PRP 39713 861 15 shall shall MD 39713 861 16 call call VB 39713 861 17 _ _ NNP 39713 861 18 geometric geometric JJ 39713 861 19 space space NN 39713 861 20 _ _ NNP 39713 861 21 . . . 39713 862 1 The the DT 39713 862 2 following follow VBG 39713 862 3 are be VBP 39713 862 4 some some DT 39713 862 5 of of IN 39713 862 6 the the DT 39713 862 7 most most RBS 39713 862 8 essential essential JJ 39713 862 9 : : : 39713 862 10 1º 1º NNS 39713 862 11 It -PRON- PRP 39713 862 12 is be VBZ 39713 862 13 continuous continuous JJ 39713 862 14 ; ; : 39713 862 15 2º 2º NNS 39713 862 16 It -PRON- PRP 39713 862 17 is be VBZ 39713 862 18 infinite infinite JJ 39713 862 19 ; ; : 39713 862 20 3º 3º NNP 39713 862 21 It -PRON- PRP 39713 862 22 has have VBZ 39713 862 23 three three CD 39713 862 24 dimensions dimension NNS 39713 862 25 ; ; : 39713 862 26 4º 4º NN 39713 862 27 It -PRON- PRP 39713 862 28 is be VBZ 39713 862 29 homogeneous homogeneous JJ 39713 862 30 , , , 39713 862 31 that that DT 39713 862 32 is be VBZ 39713 862 33 to to TO 39713 862 34 say say VB 39713 862 35 , , , 39713 862 36 all all PDT 39713 862 37 its -PRON- PRP$ 39713 862 38 points point NNS 39713 862 39 are be VBP 39713 862 40 identical identical JJ 39713 862 41 one one NN 39713 862 42 with with IN 39713 862 43 another another DT 39713 862 44 ; ; : 39713 862 45 5º 5º CD 39713 862 46 It -PRON- PRP 39713 862 47 is be VBZ 39713 862 48 isotropic isotropic JJ 39713 862 49 , , , 39713 862 50 that that DT 39713 862 51 is be VBZ 39713 862 52 to to TO 39713 862 53 say say VB 39713 862 54 , , , 39713 862 55 all all PDT 39713 862 56 the the DT 39713 862 57 straights straight NNS 39713 862 58 which which WDT 39713 862 59 pass pass VBP 39713 862 60 through through IN 39713 862 61 the the DT 39713 862 62 same same JJ 39713 862 63 point point NN 39713 862 64 are be VBP 39713 862 65 identical identical JJ 39713 862 66 one one NN 39713 862 67 with with IN 39713 862 68 another another DT 39713 862 69 . . . 39713 863 1 Compare compare VB 39713 863 2 it -PRON- PRP 39713 863 3 now now RB 39713 863 4 to to IN 39713 863 5 the the DT 39713 863 6 frame frame NN 39713 863 7 of of IN 39713 863 8 our -PRON- PRP$ 39713 863 9 representations representation NNS 39713 863 10 and and CC 39713 863 11 our -PRON- PRP$ 39713 863 12 sensations sensation NNS 39713 863 13 , , , 39713 863 14 which which WDT 39713 863 15 I -PRON- PRP 39713 863 16 may may MD 39713 863 17 call call VB 39713 863 18 _ _ NNP 39713 863 19 perceptual perceptual JJ 39713 863 20 space space NN 39713 863 21 _ _ NNP 39713 863 22 . . . 39713 864 1 VISUAL VISUAL NNP 39713 864 2 SPACE.--Consider space.--consider NN 39713 864 3 first first RB 39713 864 4 a a DT 39713 864 5 purely purely RB 39713 864 6 visual visual JJ 39713 864 7 impression impression NN 39713 864 8 , , , 39713 864 9 due due IN 39713 864 10 to to IN 39713 864 11 an an DT 39713 864 12 image image NN 39713 864 13 formed form VBN 39713 864 14 on on IN 39713 864 15 the the DT 39713 864 16 bottom bottom NN 39713 864 17 of of IN 39713 864 18 the the DT 39713 864 19 retina retina NNP 39713 864 20 . . . 39713 865 1 A a DT 39713 865 2 cursory cursory JJ 39713 865 3 analysis analysis NN 39713 865 4 shows show VBZ 39713 865 5 us -PRON- PRP 39713 865 6 this this DT 39713 865 7 image image NN 39713 865 8 as as IN 39713 865 9 continuous continuous JJ 39713 865 10 , , , 39713 865 11 but but CC 39713 865 12 as as IN 39713 865 13 possessing possess VBG 39713 865 14 only only RB 39713 865 15 two two CD 39713 865 16 dimensions dimension NNS 39713 865 17 ; ; : 39713 865 18 this this DT 39713 865 19 already already RB 39713 865 20 distinguishes distinguish VBZ 39713 865 21 from from IN 39713 865 22 geometric geometric JJ 39713 865 23 space space NN 39713 865 24 what what WP 39713 865 25 we -PRON- PRP 39713 865 26 may may MD 39713 865 27 call call VB 39713 865 28 _ _ NNP 39713 865 29 pure pure JJ 39713 865 30 visual visual JJ 39713 865 31 space space NN 39713 865 32 _ _ NNP 39713 865 33 . . . 39713 866 1 Besides besides IN 39713 866 2 , , , 39713 866 3 this this DT 39713 866 4 image image NN 39713 866 5 is be VBZ 39713 866 6 enclosed enclose VBN 39713 866 7 in in IN 39713 866 8 a a DT 39713 866 9 limited limited JJ 39713 866 10 frame frame NN 39713 866 11 . . . 39713 867 1 Finally finally RB 39713 867 2 , , , 39713 867 3 there there EX 39713 867 4 is be VBZ 39713 867 5 another another DT 39713 867 6 difference difference NN 39713 867 7 not not RB 39713 867 8 less less RBR 39713 867 9 important important JJ 39713 867 10 : : : 39713 867 11 _ _ NNP 39713 867 12 this this DT 39713 867 13 pure pure JJ 39713 867 14 visual visual JJ 39713 867 15 space space NN 39713 867 16 is be VBZ 39713 867 17 not not RB 39713 867 18 homogeneous homogeneous JJ 39713 867 19 _ _ NNP 39713 867 20 . . . 39713 868 1 All all PDT 39713 868 2 the the DT 39713 868 3 points point NNS 39713 868 4 of of IN 39713 868 5 the the DT 39713 868 6 retina retina NNP 39713 868 7 , , , 39713 868 8 aside aside RB 39713 868 9 from from IN 39713 868 10 the the DT 39713 868 11 images image NNS 39713 868 12 which which WDT 39713 868 13 may may MD 39713 868 14 there there EX 39713 868 15 be be VB 39713 868 16 formed form VBN 39713 868 17 , , , 39713 868 18 do do VB 39713 868 19 not not RB 39713 868 20 play play VB 39713 868 21 the the DT 39713 868 22 same same JJ 39713 868 23 rôle rôle NN 39713 868 24 . . . 39713 869 1 The the DT 39713 869 2 yellow yellow JJ 39713 869 3 spot spot NN 39713 869 4 can can MD 39713 869 5 in in IN 39713 869 6 no no DT 39713 869 7 way way NN 39713 869 8 be be VB 39713 869 9 regarded regard VBN 39713 869 10 as as IN 39713 869 11 identical identical JJ 39713 869 12 with with IN 39713 869 13 a a DT 39713 869 14 point point NN 39713 869 15 on on IN 39713 869 16 the the DT 39713 869 17 border border NN 39713 869 18 of of IN 39713 869 19 the the DT 39713 869 20 retina retina NNP 39713 869 21 . . . 39713 870 1 In in IN 39713 870 2 fact fact NN 39713 870 3 , , , 39713 870 4 not not RB 39713 870 5 only only RB 39713 870 6 does do VBZ 39713 870 7 the the DT 39713 870 8 same same JJ 39713 870 9 object object NN 39713 870 10 produce produce VBP 39713 870 11 there there RB 39713 870 12 much much RB 39713 870 13 more more RBR 39713 870 14 vivid vivid JJ 39713 870 15 impressions impression NNS 39713 870 16 , , , 39713 870 17 but but CC 39713 870 18 in in IN 39713 870 19 every every DT 39713 870 20 _ _ NNP 39713 870 21 limited limited JJ 39713 870 22 _ _ NNP 39713 870 23 frame frame NN 39713 870 24 the the DT 39713 870 25 point point NN 39713 870 26 occupying occupy VBG 39713 870 27 the the DT 39713 870 28 center center NN 39713 870 29 of of IN 39713 870 30 the the DT 39713 870 31 frame frame NN 39713 870 32 will will MD 39713 870 33 never never RB 39713 870 34 appear appear VB 39713 870 35 as as RB 39713 870 36 equivalent equivalent JJ 39713 870 37 to to IN 39713 870 38 a a DT 39713 870 39 point point NN 39713 870 40 near near IN 39713 870 41 one one CD 39713 870 42 of of IN 39713 870 43 the the DT 39713 870 44 borders border NNS 39713 870 45 . . . 39713 871 1 No no RB 39713 871 2 doubt doubt RB 39713 871 3 a a DT 39713 871 4 more more RBR 39713 871 5 profound profound JJ 39713 871 6 analysis analysis NN 39713 871 7 would would MD 39713 871 8 show show VB 39713 871 9 us -PRON- PRP 39713 871 10 that that IN 39713 871 11 this this DT 39713 871 12 continuity continuity NN 39713 871 13 of of IN 39713 871 14 visual visual JJ 39713 871 15 space space NN 39713 871 16 and and CC 39713 871 17 its -PRON- PRP$ 39713 871 18 two two CD 39713 871 19 dimensions dimension NNS 39713 871 20 are be VBP 39713 871 21 only only RB 39713 871 22 an an DT 39713 871 23 illusion illusion NN 39713 871 24 ; ; : 39713 871 25 it -PRON- PRP 39713 871 26 would would MD 39713 871 27 separate separate VB 39713 871 28 it -PRON- PRP 39713 871 29 therefore therefore RB 39713 871 30 still still RB 39713 871 31 more more JJR 39713 871 32 from from IN 39713 871 33 geometric geometric JJ 39713 871 34 space space NN 39713 871 35 , , , 39713 871 36 but but CC 39713 871 37 we -PRON- PRP 39713 871 38 shall shall MD 39713 871 39 not not RB 39713 871 40 dwell dwell VB 39713 871 41 on on IN 39713 871 42 this this DT 39713 871 43 remark remark NN 39713 871 44 . . . 39713 872 1 Sight sight NN 39713 872 2 , , , 39713 872 3 however however RB 39713 872 4 , , , 39713 872 5 enables enable VBZ 39713 872 6 us -PRON- PRP 39713 872 7 to to TO 39713 872 8 judge judge VB 39713 872 9 of of IN 39713 872 10 distances distance NNS 39713 872 11 and and CC 39713 872 12 consequently consequently RB 39713 872 13 to to TO 39713 872 14 perceive perceive VB 39713 872 15 a a DT 39713 872 16 third third JJ 39713 872 17 dimension dimension NN 39713 872 18 . . . 39713 873 1 But but CC 39713 873 2 every every DT 39713 873 3 one one NN 39713 873 4 knows know VBZ 39713 873 5 that that IN 39713 873 6 this this DT 39713 873 7 perception perception NN 39713 873 8 of of IN 39713 873 9 the the DT 39713 873 10 third third JJ 39713 873 11 dimension dimension NN 39713 873 12 reduces reduce VBZ 39713 873 13 itself -PRON- PRP 39713 873 14 to to IN 39713 873 15 the the DT 39713 873 16 sensation sensation NN 39713 873 17 of of IN 39713 873 18 the the DT 39713 873 19 effort effort NN 39713 873 20 at at IN 39713 873 21 accommodation accommodation NN 39713 873 22 it -PRON- PRP 39713 873 23 is be VBZ 39713 873 24 necessary necessary JJ 39713 873 25 to to TO 39713 873 26 make make VB 39713 873 27 , , , 39713 873 28 and and CC 39713 873 29 to to IN 39713 873 30 that that DT 39713 873 31 of of IN 39713 873 32 the the DT 39713 873 33 convergence convergence NN 39713 873 34 which which WDT 39713 873 35 must must MD 39713 873 36 be be VB 39713 873 37 given give VBN 39713 873 38 to to IN 39713 873 39 the the DT 39713 873 40 two two CD 39713 873 41 eyes eye NNS 39713 873 42 , , , 39713 873 43 to to TO 39713 873 44 perceive perceive VB 39713 873 45 an an DT 39713 873 46 object object NN 39713 873 47 distinctly distinctly RB 39713 873 48 . . . 39713 874 1 These these DT 39713 874 2 are be VBP 39713 874 3 muscular muscular JJ 39713 874 4 sensations sensation NNS 39713 874 5 altogether altogether RB 39713 874 6 different different JJ 39713 874 7 from from IN 39713 874 8 the the DT 39713 874 9 visual visual JJ 39713 874 10 sensations sensation NNS 39713 874 11 which which WDT 39713 874 12 have have VBP 39713 874 13 given give VBN 39713 874 14 us -PRON- PRP 39713 874 15 the the DT 39713 874 16 notion notion NN 39713 874 17 of of IN 39713 874 18 the the DT 39713 874 19 first first JJ 39713 874 20 two two CD 39713 874 21 dimensions dimension NNS 39713 874 22 . . . 39713 875 1 The the DT 39713 875 2 third third JJ 39713 875 3 dimension dimension NN 39713 875 4 therefore therefore RB 39713 875 5 will will MD 39713 875 6 not not RB 39713 875 7 appear appear VB 39713 875 8 to to IN 39713 875 9 us -PRON- PRP 39713 875 10 as as IN 39713 875 11 playing play VBG 39713 875 12 the the DT 39713 875 13 same same JJ 39713 875 14 rôle rôle NN 39713 875 15 as as IN 39713 875 16 the the DT 39713 875 17 other other JJ 39713 875 18 two two CD 39713 875 19 . . . 39713 876 1 What what WP 39713 876 2 may may MD 39713 876 3 be be VB 39713 876 4 called call VBN 39713 876 5 _ _ NNP 39713 876 6 complete complete JJ 39713 876 7 visual visual JJ 39713 876 8 space space NN 39713 876 9 _ _ NNP 39713 876 10 is be VBZ 39713 876 11 therefore therefore RB 39713 876 12 not not RB 39713 876 13 an an DT 39713 876 14 isotropic isotropic JJ 39713 876 15 space space NN 39713 876 16 . . . 39713 877 1 It -PRON- PRP 39713 877 2 has have VBZ 39713 877 3 , , , 39713 877 4 it -PRON- PRP 39713 877 5 is be VBZ 39713 877 6 true true JJ 39713 877 7 , , , 39713 877 8 precisely precisely RB 39713 877 9 three three CD 39713 877 10 dimensions dimension NNS 39713 877 11 , , , 39713 877 12 which which WDT 39713 877 13 means mean VBZ 39713 877 14 that that IN 39713 877 15 the the DT 39713 877 16 elements element NNS 39713 877 17 of of IN 39713 877 18 our -PRON- PRP$ 39713 877 19 visual visual JJ 39713 877 20 sensations sensation NNS 39713 877 21 ( ( -LRB- 39713 877 22 those those DT 39713 877 23 at at IN 39713 877 24 least least JJS 39713 877 25 which which WDT 39713 877 26 combine combine VBP 39713 877 27 to to TO 39713 877 28 form form VB 39713 877 29 the the DT 39713 877 30 notion notion NN 39713 877 31 of of IN 39713 877 32 extension extension NN 39713 877 33 ) ) -RRB- 39713 877 34 will will MD 39713 877 35 be be VB 39713 877 36 completely completely RB 39713 877 37 defined define VBN 39713 877 38 when when WRB 39713 877 39 three three CD 39713 877 40 of of IN 39713 877 41 them -PRON- PRP 39713 877 42 are be VBP 39713 877 43 known know VBN 39713 877 44 ; ; : 39713 877 45 to to TO 39713 877 46 use use VB 39713 877 47 the the DT 39713 877 48 language language NN 39713 877 49 of of IN 39713 877 50 mathematics mathematic NNS 39713 877 51 , , , 39713 877 52 they -PRON- PRP 39713 877 53 will will MD 39713 877 54 be be VB 39713 877 55 functions function NNS 39713 877 56 of of IN 39713 877 57 three three CD 39713 877 58 independent independent JJ 39713 877 59 variables variable NNS 39713 877 60 . . . 39713 878 1 But but CC 39713 878 2 examine examine VB 39713 878 3 the the DT 39713 878 4 matter matter NN 39713 878 5 a a DT 39713 878 6 little little RB 39713 878 7 more more RBR 39713 878 8 closely closely RB 39713 878 9 . . . 39713 879 1 The the DT 39713 879 2 third third JJ 39713 879 3 dimension dimension NN 39713 879 4 is be VBZ 39713 879 5 revealed reveal VBN 39713 879 6 to to IN 39713 879 7 us -PRON- PRP 39713 879 8 in in IN 39713 879 9 two two CD 39713 879 10 different different JJ 39713 879 11 ways way NNS 39713 879 12 : : : 39713 879 13 by by IN 39713 879 14 the the DT 39713 879 15 effort effort NN 39713 879 16 of of IN 39713 879 17 accommodation accommodation NN 39713 879 18 and and CC 39713 879 19 by by IN 39713 879 20 the the DT 39713 879 21 convergence convergence NN 39713 879 22 of of IN 39713 879 23 the the DT 39713 879 24 eyes eye NNS 39713 879 25 . . . 39713 880 1 No no RB 39713 880 2 doubt doubt RB 39713 880 3 these these DT 39713 880 4 two two CD 39713 880 5 indications indication NNS 39713 880 6 are be VBP 39713 880 7 always always RB 39713 880 8 concordant concordant JJ 39713 880 9 , , , 39713 880 10 there there EX 39713 880 11 is be VBZ 39713 880 12 a a DT 39713 880 13 constant constant JJ 39713 880 14 relation relation NN 39713 880 15 between between IN 39713 880 16 them -PRON- PRP 39713 880 17 , , , 39713 880 18 or or CC 39713 880 19 , , , 39713 880 20 in in IN 39713 880 21 mathematical mathematical JJ 39713 880 22 terms term NNS 39713 880 23 , , , 39713 880 24 the the DT 39713 880 25 two two CD 39713 880 26 variables variable NNS 39713 880 27 which which WDT 39713 880 28 measure measure VBP 39713 880 29 these these DT 39713 880 30 two two CD 39713 880 31 muscular muscular JJ 39713 880 32 sensations sensation NNS 39713 880 33 do do VBP 39713 880 34 not not RB 39713 880 35 appear appear VB 39713 880 36 to to IN 39713 880 37 us -PRON- PRP 39713 880 38 as as IN 39713 880 39 independent independent JJ 39713 880 40 ; ; , 39713 880 41 or or CC 39713 880 42 again again RB 39713 880 43 , , , 39713 880 44 to to TO 39713 880 45 avoid avoid VB 39713 880 46 an an DT 39713 880 47 appeal appeal NN 39713 880 48 to to IN 39713 880 49 mathematical mathematical JJ 39713 880 50 notions notion NNS 39713 880 51 already already RB 39713 880 52 rather rather RB 39713 880 53 refined refined JJ 39713 880 54 , , , 39713 880 55 we -PRON- PRP 39713 880 56 may may MD 39713 880 57 go go VB 39713 880 58 back back RB 39713 880 59 to to IN 39713 880 60 the the DT 39713 880 61 language language NN 39713 880 62 of of IN 39713 880 63 the the DT 39713 880 64 preceding precede VBG 39713 880 65 chapter chapter NN 39713 880 66 and and CC 39713 880 67 enunciate enunciate VB 39713 880 68 the the DT 39713 880 69 same same JJ 39713 880 70 fact fact NN 39713 880 71 as as IN 39713 880 72 follows follow VBZ 39713 880 73 : : : 39713 880 74 If if IN 39713 880 75 two two CD 39713 880 76 sensations sensation NNS 39713 880 77 of of IN 39713 880 78 convergence convergence NN 39713 880 79 , , , 39713 880 80 _ _ NNP 39713 880 81 A A NNP 39713 880 82 _ _ NNP 39713 880 83 and and CC 39713 880 84 _ _ NNP 39713 880 85 B B NNP 39713 880 86 _ _ NNP 39713 880 87 , , , 39713 880 88 are be VBP 39713 880 89 indistinguishable indistinguishable JJ 39713 880 90 , , , 39713 880 91 the the DT 39713 880 92 two two CD 39713 880 93 sensations sensation NNS 39713 880 94 of of IN 39713 880 95 accommodation accommodation NN 39713 880 96 , , , 39713 880 97 _ _ NNP 39713 880 98 A A NNP 39713 880 99 ' ' '' 39713 880 100 _ _ NNP 39713 880 101 and and CC 39713 880 102 _ _ NNP 39713 880 103 B B NNP 39713 880 104 ' ' '' 39713 880 105 _ _ NNP 39713 880 106 , , , 39713 880 107 which which WDT 39713 880 108 respectively respectively RB 39713 880 109 accompany accompany VBP 39713 880 110 them -PRON- PRP 39713 880 111 , , , 39713 880 112 will will MD 39713 880 113 be be VB 39713 880 114 equally equally RB 39713 880 115 indistinguishable indistinguishable JJ 39713 880 116 . . . 39713 881 1 But but CC 39713 881 2 here here RB 39713 881 3 we -PRON- PRP 39713 881 4 have have VBP 39713 881 5 , , , 39713 881 6 so so RB 39713 881 7 to to TO 39713 881 8 speak speak VB 39713 881 9 , , , 39713 881 10 an an DT 39713 881 11 experimental experimental JJ 39713 881 12 fact fact NN 39713 881 13 ; ; : 39713 881 14 _ _ NNP 39713 881 15 a a DT 39713 881 16 priori priori FW 39713 881 17 _ _ NNP 39713 881 18 nothing nothing NN 39713 881 19 prevents prevent VBZ 39713 881 20 our -PRON- PRP$ 39713 881 21 supposing suppose VBG 39713 881 22 the the DT 39713 881 23 contrary contrary NN 39713 881 24 , , , 39713 881 25 and and CC 39713 881 26 if if IN 39713 881 27 the the DT 39713 881 28 contrary contrary NN 39713 881 29 takes take VBZ 39713 881 30 place place NN 39713 881 31 , , , 39713 881 32 if if IN 39713 881 33 these these DT 39713 881 34 two two CD 39713 881 35 muscular muscular JJ 39713 881 36 sensations sensation NNS 39713 881 37 vary vary VBP 39713 881 38 independently independently RB 39713 881 39 of of IN 39713 881 40 one one CD 39713 881 41 another another DT 39713 881 42 , , , 39713 881 43 we -PRON- PRP 39713 881 44 shall shall MD 39713 881 45 have have VB 39713 881 46 to to TO 39713 881 47 take take VB 39713 881 48 account account NN 39713 881 49 of of IN 39713 881 50 one one CD 39713 881 51 more more RBR 39713 881 52 independent independent JJ 39713 881 53 variable variable NN 39713 881 54 , , , 39713 881 55 and and CC 39713 881 56 ' ' `` 39713 881 57 complete complete JJ 39713 881 58 visual visual JJ 39713 881 59 space space NN 39713 881 60 ' ' '' 39713 881 61 will will MD 39713 881 62 appear appear VB 39713 881 63 to to IN 39713 881 64 us -PRON- PRP 39713 881 65 as as IN 39713 881 66 a a DT 39713 881 67 physical physical JJ 39713 881 68 continuum continuum NN 39713 881 69 of of IN 39713 881 70 four four CD 39713 881 71 dimensions dimension NNS 39713 881 72 . . . 39713 882 1 We -PRON- PRP 39713 882 2 have have VBP 39713 882 3 here here RB 39713 882 4 even even RB 39713 882 5 , , , 39713 882 6 I -PRON- PRP 39713 882 7 will will MD 39713 882 8 add add VB 39713 882 9 , , , 39713 882 10 a a DT 39713 882 11 fact fact NN 39713 882 12 of of IN 39713 882 13 _ _ NNP 39713 882 14 external external JJ 39713 882 15 _ _ NNP 39713 882 16 experience experience NN 39713 882 17 . . . 39713 883 1 Nothing nothing NN 39713 883 2 prevents prevent VBZ 39713 883 3 our -PRON- PRP$ 39713 883 4 supposing supposing NN 39713 883 5 that that IN 39713 883 6 a a DT 39713 883 7 being being NN 39713 883 8 with with IN 39713 883 9 a a DT 39713 883 10 mind mind NN 39713 883 11 like like IN 39713 883 12 ours our NNS 39713 883 13 , , , 39713 883 14 having have VBG 39713 883 15 the the DT 39713 883 16 same same JJ 39713 883 17 sense sense NN 39713 883 18 organs organ NNS 39713 883 19 that that IN 39713 883 20 we -PRON- PRP 39713 883 21 have have VBP 39713 883 22 , , , 39713 883 23 may may MD 39713 883 24 be be VB 39713 883 25 placed place VBN 39713 883 26 in in IN 39713 883 27 a a DT 39713 883 28 world world NN 39713 883 29 where where WRB 39713 883 30 light light NN 39713 883 31 would would MD 39713 883 32 only only RB 39713 883 33 reach reach VB 39713 883 34 him -PRON- PRP 39713 883 35 after after IN 39713 883 36 having have VBG 39713 883 37 traversed traverse VBN 39713 883 38 reflecting reflect VBG 39713 883 39 media medium NNS 39713 883 40 of of IN 39713 883 41 complicated complicated JJ 39713 883 42 form form NN 39713 883 43 . . . 39713 884 1 The the DT 39713 884 2 two two CD 39713 884 3 indications indication NNS 39713 884 4 which which WDT 39713 884 5 serve serve VBP 39713 884 6 us -PRON- PRP 39713 884 7 in in IN 39713 884 8 judging judge VBG 39713 884 9 distances distance NNS 39713 884 10 would would MD 39713 884 11 cease cease VB 39713 884 12 to to TO 39713 884 13 be be VB 39713 884 14 connected connect VBN 39713 884 15 by by IN 39713 884 16 a a DT 39713 884 17 constant constant JJ 39713 884 18 relation relation NN 39713 884 19 . . . 39713 885 1 A a DT 39713 885 2 being be VBG 39713 885 3 who who WP 39713 885 4 should should MD 39713 885 5 achieve achieve VB 39713 885 6 in in IN 39713 885 7 such such PDT 39713 885 8 a a DT 39713 885 9 world world NN 39713 885 10 the the DT 39713 885 11 education education NN 39713 885 12 of of IN 39713 885 13 his -PRON- PRP$ 39713 885 14 senses sense NNS 39713 885 15 would would MD 39713 885 16 no no RB 39713 885 17 doubt doubt RB 39713 885 18 attribute attribute VB 39713 885 19 four four CD 39713 885 20 dimensions dimension NNS 39713 885 21 to to TO 39713 885 22 complete complete VB 39713 885 23 visual visual JJ 39713 885 24 space space NN 39713 885 25 . . . 39713 886 1 TACTILE tactile NN 39713 886 2 SPACE SPACE NNP 39713 886 3 AND and CC 39713 886 4 MOTOR MOTOR NNP 39713 886 5 SPACE.--'Tactile space.--'tactile VBP 39713 886 6 space space NN 39713 886 7 ' ' '' 39713 886 8 is be VBZ 39713 886 9 still still RB 39713 886 10 more more RBR 39713 886 11 complicated complicated JJ 39713 886 12 than than IN 39713 886 13 visual visual JJ 39713 886 14 space space NN 39713 886 15 and and CC 39713 886 16 farther farther RB 39713 886 17 removed remove VBN 39713 886 18 from from IN 39713 886 19 geometric geometric JJ 39713 886 20 space space NN 39713 886 21 . . . 39713 887 1 It -PRON- PRP 39713 887 2 is be VBZ 39713 887 3 superfluous superfluous JJ 39713 887 4 to to TO 39713 887 5 repeat repeat VB 39713 887 6 for for IN 39713 887 7 touch touch NN 39713 887 8 the the DT 39713 887 9 discussion discussion NN 39713 887 10 I -PRON- PRP 39713 887 11 have have VBP 39713 887 12 given give VBN 39713 887 13 for for IN 39713 887 14 sight sight NN 39713 887 15 . . . 39713 888 1 But but CC 39713 888 2 apart apart RB 39713 888 3 from from IN 39713 888 4 the the DT 39713 888 5 data datum NNS 39713 888 6 of of IN 39713 888 7 sight sight NN 39713 888 8 and and CC 39713 888 9 touch touch NN 39713 888 10 , , , 39713 888 11 there there EX 39713 888 12 are be VBP 39713 888 13 other other JJ 39713 888 14 sensations sensation NNS 39713 888 15 which which WDT 39713 888 16 contribute contribute VBP 39713 888 17 as as RB 39713 888 18 much much JJ 39713 888 19 and and CC 39713 888 20 more more JJR 39713 888 21 than than IN 39713 888 22 they -PRON- PRP 39713 888 23 to to IN 39713 888 24 the the DT 39713 888 25 genesis genesis NN 39713 888 26 of of IN 39713 888 27 the the DT 39713 888 28 notion notion NN 39713 888 29 of of IN 39713 888 30 space space NN 39713 888 31 . . . 39713 889 1 These these DT 39713 889 2 are be VBP 39713 889 3 known know VBN 39713 889 4 to to IN 39713 889 5 every every DT 39713 889 6 one one NN 39713 889 7 ; ; : 39713 889 8 they -PRON- PRP 39713 889 9 accompany accompany VBP 39713 889 10 all all PDT 39713 889 11 our -PRON- PRP$ 39713 889 12 movements movement NNS 39713 889 13 , , , 39713 889 14 and and CC 39713 889 15 are be VBP 39713 889 16 usually usually RB 39713 889 17 called call VBN 39713 889 18 muscular muscular JJ 39713 889 19 sensations sensation NNS 39713 889 20 . . . 39713 890 1 The the DT 39713 890 2 corresponding corresponding JJ 39713 890 3 frame frame NN 39713 890 4 constitutes constitute VBZ 39713 890 5 what what WP 39713 890 6 may may MD 39713 890 7 be be VB 39713 890 8 called call VBN 39713 890 9 _ _ NNP 39713 890 10 motor motor NN 39713 890 11 space space NN 39713 890 12 _ _ NNP 39713 890 13 . . . 39713 891 1 Each each DT 39713 891 2 muscle muscle NN 39713 891 3 gives give VBZ 39713 891 4 rise rise NN 39713 891 5 to to IN 39713 891 6 a a DT 39713 891 7 special special JJ 39713 891 8 sensation sensation NN 39713 891 9 capable capable JJ 39713 891 10 of of IN 39713 891 11 augmenting augment VBG 39713 891 12 or or CC 39713 891 13 of of IN 39713 891 14 diminishing diminish VBG 39713 891 15 , , , 39713 891 16 so so IN 39713 891 17 that that IN 39713 891 18 the the DT 39713 891 19 totality totality NN 39713 891 20 of of IN 39713 891 21 our -PRON- PRP$ 39713 891 22 muscular muscular JJ 39713 891 23 sensations sensation NNS 39713 891 24 will will MD 39713 891 25 depend depend VB 39713 891 26 upon upon IN 39713 891 27 as as RB 39713 891 28 many many JJ 39713 891 29 variables variable NNS 39713 891 30 as as IN 39713 891 31 we -PRON- PRP 39713 891 32 have have VBP 39713 891 33 muscles muscle NNS 39713 891 34 . . . 39713 892 1 From from IN 39713 892 2 this this DT 39713 892 3 point point NN 39713 892 4 of of IN 39713 892 5 view view NN 39713 892 6 , , , 39713 892 7 _ _ NNP 39713 892 8 motor motor NN 39713 892 9 space space NN 39713 892 10 would would MD 39713 892 11 have have VB 39713 892 12 as as RB 39713 892 13 many many JJ 39713 892 14 dimensions dimension NNS 39713 892 15 as as IN 39713 892 16 we -PRON- PRP 39713 892 17 have have VBP 39713 892 18 muscles muscle NNS 39713 892 19 _ _ NNP 39713 892 20 . . . 39713 893 1 I -PRON- PRP 39713 893 2 know know VBP 39713 893 3 it -PRON- PRP 39713 893 4 will will MD 39713 893 5 be be VB 39713 893 6 said say VBN 39713 893 7 that that IN 39713 893 8 if if IN 39713 893 9 the the DT 39713 893 10 muscular muscular JJ 39713 893 11 sensations sensation NNS 39713 893 12 contribute contribute VBP 39713 893 13 to to TO 39713 893 14 form form VB 39713 893 15 the the DT 39713 893 16 notion notion NN 39713 893 17 of of IN 39713 893 18 space space NN 39713 893 19 , , , 39713 893 20 it -PRON- PRP 39713 893 21 is be VBZ 39713 893 22 because because IN 39713 893 23 we -PRON- PRP 39713 893 24 have have VBP 39713 893 25 the the DT 39713 893 26 sense sense NN 39713 893 27 of of IN 39713 893 28 the the DT 39713 893 29 _ _ NNP 39713 893 30 direction direction NN 39713 893 31 _ _ NNP 39713 893 32 of of IN 39713 893 33 each each DT 39713 893 34 movement movement NN 39713 893 35 and and CC 39713 893 36 that that IN 39713 893 37 it -PRON- PRP 39713 893 38 makes make VBZ 39713 893 39 an an DT 39713 893 40 integrant integrant JJ 39713 893 41 part part NN 39713 893 42 of of IN 39713 893 43 the the DT 39713 893 44 sensation sensation NN 39713 893 45 . . . 39713 894 1 If if IN 39713 894 2 this this DT 39713 894 3 were be VBD 39713 894 4 so so RB 39713 894 5 , , , 39713 894 6 if if IN 39713 894 7 a a DT 39713 894 8 muscular muscular JJ 39713 894 9 sensation sensation NN 39713 894 10 could could MD 39713 894 11 not not RB 39713 894 12 arise arise VB 39713 894 13 except except IN 39713 894 14 accompanied accompany VBN 39713 894 15 by by IN 39713 894 16 this this DT 39713 894 17 geometric geometric JJ 39713 894 18 sense sense NN 39713 894 19 of of IN 39713 894 20 direction direction NN 39713 894 21 , , , 39713 894 22 geometric geometric JJ 39713 894 23 space space NN 39713 894 24 would would MD 39713 894 25 indeed indeed RB 39713 894 26 be be VB 39713 894 27 a a DT 39713 894 28 form form NN 39713 894 29 imposed impose VBN 39713 894 30 upon upon IN 39713 894 31 our -PRON- PRP$ 39713 894 32 sensibility sensibility NN 39713 894 33 . . . 39713 895 1 But but CC 39713 895 2 I -PRON- PRP 39713 895 3 perceive perceive VBP 39713 895 4 nothing nothing NN 39713 895 5 at at RB 39713 895 6 all all DT 39713 895 7 of of IN 39713 895 8 this this DT 39713 895 9 when when WRB 39713 895 10 I -PRON- PRP 39713 895 11 analyze analyze VBP 39713 895 12 my -PRON- PRP$ 39713 895 13 sensations sensation NNS 39713 895 14 . . . 39713 896 1 What what WP 39713 896 2 I -PRON- PRP 39713 896 3 do do VBP 39713 896 4 see see VB 39713 896 5 is be VBZ 39713 896 6 that that IN 39713 896 7 the the DT 39713 896 8 sensations sensation NNS 39713 896 9 which which WDT 39713 896 10 correspond correspond VBP 39713 896 11 to to IN 39713 896 12 movements movement NNS 39713 896 13 in in IN 39713 896 14 the the DT 39713 896 15 same same JJ 39713 896 16 direction direction NN 39713 896 17 are be VBP 39713 896 18 connected connect VBN 39713 896 19 in in IN 39713 896 20 my -PRON- PRP$ 39713 896 21 mind mind NN 39713 896 22 by by IN 39713 896 23 a a DT 39713 896 24 mere mere JJ 39713 896 25 _ _ NNP 39713 896 26 association association NN 39713 896 27 of of IN 39713 896 28 ideas idea NNS 39713 896 29 _ _ NNP 39713 896 30 . . . 39713 897 1 It -PRON- PRP 39713 897 2 is be VBZ 39713 897 3 to to IN 39713 897 4 this this DT 39713 897 5 association association NN 39713 897 6 that that IN 39713 897 7 what what WP 39713 897 8 we -PRON- PRP 39713 897 9 call call VBP 39713 897 10 ' ' '' 39713 897 11 the the DT 39713 897 12 sense sense NN 39713 897 13 of of IN 39713 897 14 direction direction NN 39713 897 15 ' ' '' 39713 897 16 is be VBZ 39713 897 17 reducible reducible JJ 39713 897 18 . . . 39713 898 1 This this DT 39713 898 2 feeling feeling NN 39713 898 3 therefore therefore RB 39713 898 4 can can MD 39713 898 5 not not RB 39713 898 6 be be VB 39713 898 7 found find VBN 39713 898 8 in in IN 39713 898 9 a a DT 39713 898 10 single single JJ 39713 898 11 sensation sensation NN 39713 898 12 . . . 39713 899 1 This this DT 39713 899 2 association association NN 39713 899 3 is be VBZ 39713 899 4 extremely extremely RB 39713 899 5 complex complex JJ 39713 899 6 , , , 39713 899 7 for for IN 39713 899 8 the the DT 39713 899 9 contraction contraction NN 39713 899 10 of of IN 39713 899 11 the the DT 39713 899 12 same same JJ 39713 899 13 muscle muscle NN 39713 899 14 may may MD 39713 899 15 correspond correspond VB 39713 899 16 , , , 39713 899 17 according accord VBG 39713 899 18 to to IN 39713 899 19 the the DT 39713 899 20 position position NN 39713 899 21 of of IN 39713 899 22 the the DT 39713 899 23 limbs limb NNS 39713 899 24 , , , 39713 899 25 to to IN 39713 899 26 movements movement NNS 39713 899 27 of of IN 39713 899 28 very very RB 39713 899 29 different different JJ 39713 899 30 direction direction NN 39713 899 31 . . . 39713 900 1 Besides besides RB 39713 900 2 , , , 39713 900 3 it -PRON- PRP 39713 900 4 is be VBZ 39713 900 5 evidently evidently RB 39713 900 6 acquired acquire VBN 39713 900 7 ; ; : 39713 900 8 it -PRON- PRP 39713 900 9 is be VBZ 39713 900 10 , , , 39713 900 11 like like IN 39713 900 12 all all DT 39713 900 13 associations association NNS 39713 900 14 of of IN 39713 900 15 ideas idea NNS 39713 900 16 , , , 39713 900 17 the the DT 39713 900 18 result result NN 39713 900 19 of of IN 39713 900 20 a a DT 39713 900 21 _ _ NNP 39713 900 22 habit habit NN 39713 900 23 _ _ NNP 39713 900 24 ; ; : 39713 900 25 this this DT 39713 900 26 habit habit NN 39713 900 27 itself -PRON- PRP 39713 900 28 results result VBZ 39713 900 29 from from IN 39713 900 30 very very RB 39713 900 31 numerous numerous JJ 39713 900 32 _ _ NNP 39713 900 33 experiences experience NNS 39713 900 34 _ _ NNP 39713 900 35 ; ; : 39713 900 36 without without IN 39713 900 37 any any DT 39713 900 38 doubt doubt NN 39713 900 39 , , , 39713 900 40 if if IN 39713 900 41 the the DT 39713 900 42 education education NN 39713 900 43 of of IN 39713 900 44 our -PRON- PRP$ 39713 900 45 senses sense NNS 39713 900 46 had have VBD 39713 900 47 been be VBN 39713 900 48 accomplished accomplish VBN 39713 900 49 in in IN 39713 900 50 a a DT 39713 900 51 different different JJ 39713 900 52 environment environment NN 39713 900 53 , , , 39713 900 54 where where WRB 39713 900 55 we -PRON- PRP 39713 900 56 should should MD 39713 900 57 have have VB 39713 900 58 been be VBN 39713 900 59 subjected subject VBN 39713 900 60 to to IN 39713 900 61 different different JJ 39713 900 62 impressions impression NNS 39713 900 63 , , , 39713 900 64 contrary contrary JJ 39713 900 65 habits habit NNS 39713 900 66 would would MD 39713 900 67 have have VB 39713 900 68 arisen arise VBN 39713 900 69 and and CC 39713 900 70 our -PRON- PRP$ 39713 900 71 muscular muscular JJ 39713 900 72 sensations sensation NNS 39713 900 73 would would MD 39713 900 74 have have VB 39713 900 75 been be VBN 39713 900 76 associated associate VBN 39713 900 77 according accord VBG 39713 900 78 to to IN 39713 900 79 other other JJ 39713 900 80 laws law NNS 39713 900 81 . . . 39713 901 1 CHARACTERISTICS CHARACTERISTICS NNP 39713 901 2 OF of IN 39713 901 3 PERCEPTUAL perceptual NN 39713 901 4 SPACE.--Thus space.--thus NN 39713 901 5 perceptual perceptual JJ 39713 901 6 space space NN 39713 901 7 , , , 39713 901 8 under under IN 39713 901 9 its -PRON- PRP$ 39713 901 10 triple triple JJ 39713 901 11 form form NN 39713 901 12 , , , 39713 901 13 visual visual JJ 39713 901 14 , , , 39713 901 15 tactile tactile NN 39713 901 16 and and CC 39713 901 17 motor motor NN 39713 901 18 , , , 39713 901 19 is be VBZ 39713 901 20 essentially essentially RB 39713 901 21 different different JJ 39713 901 22 from from IN 39713 901 23 geometric geometric JJ 39713 901 24 space space NN 39713 901 25 . . . 39713 902 1 It -PRON- PRP 39713 902 2 is be VBZ 39713 902 3 neither neither CC 39713 902 4 homogeneous homogeneous JJ 39713 902 5 , , , 39713 902 6 nor nor CC 39713 902 7 isotropic isotropic JJ 39713 902 8 ; ; : 39713 902 9 one one PRP 39713 902 10 can can MD 39713 902 11 not not RB 39713 902 12 even even RB 39713 902 13 say say VB 39713 902 14 that that IN 39713 902 15 it -PRON- PRP 39713 902 16 has have VBZ 39713 902 17 three three CD 39713 902 18 dimensions dimension NNS 39713 902 19 . . . 39713 903 1 It -PRON- PRP 39713 903 2 is be VBZ 39713 903 3 often often RB 39713 903 4 said say VBN 39713 903 5 that that IN 39713 903 6 we -PRON- PRP 39713 903 7 ' ' `` 39713 903 8 project project NN 39713 903 9 ' ' '' 39713 903 10 into into IN 39713 903 11 geometric geometric JJ 39713 903 12 space space NN 39713 903 13 the the DT 39713 903 14 objects object NNS 39713 903 15 of of IN 39713 903 16 our -PRON- PRP$ 39713 903 17 external external JJ 39713 903 18 perception perception NN 39713 903 19 ; ; : 39713 903 20 that that IN 39713 903 21 we -PRON- PRP 39713 903 22 ' ' `` 39713 903 23 localize localize VBP 39713 903 24 ' ' '' 39713 903 25 them -PRON- PRP 39713 903 26 . . . 39713 904 1 Has have VBZ 39713 904 2 this this DT 39713 904 3 a a DT 39713 904 4 meaning meaning NN 39713 904 5 , , , 39713 904 6 and and CC 39713 904 7 if if IN 39713 904 8 so so RB 39713 904 9 what what WP 39713 904 10 ? ? . 39713 905 1 Does do VBZ 39713 905 2 it -PRON- PRP 39713 905 3 mean mean VB 39713 905 4 that that IN 39713 905 5 we -PRON- PRP 39713 905 6 _ _ IN 39713 905 7 represent represent VBP 39713 905 8 _ _ NNP 39713 905 9 to to IN 39713 905 10 ourselves -PRON- PRP 39713 905 11 external external JJ 39713 905 12 objects object NNS 39713 905 13 in in IN 39713 905 14 geometric geometric JJ 39713 905 15 space space NN 39713 905 16 ? ? . 39713 906 1 Our -PRON- PRP$ 39713 906 2 representations representation NNS 39713 906 3 are be VBP 39713 906 4 only only RB 39713 906 5 the the DT 39713 906 6 reproduction reproduction NN 39713 906 7 of of IN 39713 906 8 our -PRON- PRP$ 39713 906 9 sensations sensation NNS 39713 906 10 ; ; : 39713 906 11 they -PRON- PRP 39713 906 12 can can MD 39713 906 13 therefore therefore RB 39713 906 14 be be VB 39713 906 15 ranged range VBN 39713 906 16 only only RB 39713 906 17 in in IN 39713 906 18 the the DT 39713 906 19 same same JJ 39713 906 20 frame frame NN 39713 906 21 as as IN 39713 906 22 these these DT 39713 906 23 , , , 39713 906 24 that that DT 39713 906 25 is be VBZ 39713 906 26 to to TO 39713 906 27 say say VB 39713 906 28 , , , 39713 906 29 in in IN 39713 906 30 perceptual perceptual JJ 39713 906 31 space space NN 39713 906 32 . . . 39713 907 1 It -PRON- PRP 39713 907 2 is be VBZ 39713 907 3 as as RB 39713 907 4 impossible impossible JJ 39713 907 5 for for IN 39713 907 6 us -PRON- PRP 39713 907 7 to to TO 39713 907 8 represent represent VB 39713 907 9 to to IN 39713 907 10 ourselves -PRON- PRP 39713 907 11 external external JJ 39713 907 12 bodies body NNS 39713 907 13 in in IN 39713 907 14 geometric geometric JJ 39713 907 15 space space NN 39713 907 16 , , , 39713 907 17 as as IN 39713 907 18 it -PRON- PRP 39713 907 19 is be VBZ 39713 907 20 for for IN 39713 907 21 a a DT 39713 907 22 painter painter NN 39713 907 23 to to TO 39713 907 24 paint paint VB 39713 907 25 on on IN 39713 907 26 a a DT 39713 907 27 plane plane NN 39713 907 28 canvas canvas NN 39713 907 29 objects object VBZ 39713 907 30 with with IN 39713 907 31 their -PRON- PRP$ 39713 907 32 three three CD 39713 907 33 dimensions dimension NNS 39713 907 34 . . . 39713 908 1 Perceptual perceptual JJ 39713 908 2 space space NN 39713 908 3 is be VBZ 39713 908 4 only only RB 39713 908 5 an an DT 39713 908 6 image image NN 39713 908 7 of of IN 39713 908 8 geometric geometric JJ 39713 908 9 space space NN 39713 908 10 , , , 39713 908 11 an an DT 39713 908 12 image image NN 39713 908 13 altered alter VBN 39713 908 14 in in IN 39713 908 15 shape shape NN 39713 908 16 by by IN 39713 908 17 a a DT 39713 908 18 sort sort NN 39713 908 19 of of IN 39713 908 20 perspective perspective NN 39713 908 21 , , , 39713 908 22 and and CC 39713 908 23 we -PRON- PRP 39713 908 24 can can MD 39713 908 25 represent represent VB 39713 908 26 to to IN 39713 908 27 ourselves -PRON- PRP 39713 908 28 objects object VBZ 39713 908 29 only only RB 39713 908 30 by by IN 39713 908 31 bringing bring VBG 39713 908 32 them -PRON- PRP 39713 908 33 under under IN 39713 908 34 the the DT 39713 908 35 laws law NNS 39713 908 36 of of IN 39713 908 37 this this DT 39713 908 38 perspective perspective NN 39713 908 39 . . . 39713 909 1 Therefore therefore RB 39713 909 2 we -PRON- PRP 39713 909 3 do do VBP 39713 909 4 not not RB 39713 909 5 _ _ NNP 39713 909 6 represent represent VB 39713 909 7 _ _ NNP 39713 909 8 to to IN 39713 909 9 ourselves -PRON- PRP 39713 909 10 external external JJ 39713 909 11 bodies body NNS 39713 909 12 in in IN 39713 909 13 geometric geometric JJ 39713 909 14 space space NN 39713 909 15 , , , 39713 909 16 but but CC 39713 909 17 we -PRON- PRP 39713 909 18 _ _ NNP 39713 909 19 reason reason NN 39713 909 20 _ _ NNP 39713 909 21 on on IN 39713 909 22 these these DT 39713 909 23 bodies body NNS 39713 909 24 as as IN 39713 909 25 if if IN 39713 909 26 they -PRON- PRP 39713 909 27 were be VBD 39713 909 28 situated situate VBN 39713 909 29 in in IN 39713 909 30 geometric geometric JJ 39713 909 31 space space NN 39713 909 32 . . . 39713 910 1 When when WRB 39713 910 2 it -PRON- PRP 39713 910 3 is be VBZ 39713 910 4 said say VBN 39713 910 5 then then RB 39713 910 6 that that IN 39713 910 7 we -PRON- PRP 39713 910 8 ' ' `` 39713 910 9 localize localize VBP 39713 910 10 ' ' '' 39713 910 11 such such JJ 39713 910 12 and and CC 39713 910 13 such such JJ 39713 910 14 an an DT 39713 910 15 object object NN 39713 910 16 at at IN 39713 910 17 such such JJ 39713 910 18 and and CC 39713 910 19 such such PDT 39713 910 20 a a DT 39713 910 21 point point NN 39713 910 22 of of IN 39713 910 23 space space NN 39713 910 24 , , , 39713 910 25 what what WP 39713 910 26 does do VBZ 39713 910 27 it -PRON- PRP 39713 910 28 mean mean VB 39713 910 29 ? ? . 39713 911 1 _ _ NNP 39713 911 2 It -PRON- PRP 39713 911 3 simply simply RB 39713 911 4 means mean VBZ 39713 911 5 that that IN 39713 911 6 we -PRON- PRP 39713 911 7 represent represent VBP 39713 911 8 to to IN 39713 911 9 ourselves -PRON- PRP 39713 911 10 the the DT 39713 911 11 movements movement NNS 39713 911 12 it -PRON- PRP 39713 911 13 would would MD 39713 911 14 be be VB 39713 911 15 necessary necessary JJ 39713 911 16 to to TO 39713 911 17 make make VB 39713 911 18 to to TO 39713 911 19 reach reach VB 39713 911 20 that that DT 39713 911 21 object object NN 39713 911 22 _ _ NNP 39713 911 23 ; ; : 39713 911 24 and and CC 39713 911 25 one one PRP 39713 911 26 may may MD 39713 911 27 not not RB 39713 911 28 say say VB 39713 911 29 that that DT 39713 911 30 to to TO 39713 911 31 represent represent VB 39713 911 32 to to IN 39713 911 33 oneself oneself PRP 39713 911 34 these these DT 39713 911 35 movements movement NNS 39713 911 36 , , , 39713 911 37 it -PRON- PRP 39713 911 38 is be VBZ 39713 911 39 necessary necessary JJ 39713 911 40 to to TO 39713 911 41 project project VB 39713 911 42 the the DT 39713 911 43 movements movement NNS 39713 911 44 themselves -PRON- PRP 39713 911 45 in in IN 39713 911 46 space space NN 39713 911 47 and and CC 39713 911 48 that that IN 39713 911 49 the the DT 39713 911 50 notion notion NN 39713 911 51 of of IN 39713 911 52 space space NN 39713 911 53 must must MD 39713 911 54 , , , 39713 911 55 consequently consequently RB 39713 911 56 , , , 39713 911 57 pre pre JJ 39713 911 58 - - NN 39713 911 59 exist exist VB 39713 911 60 . . . 39713 912 1 When when WRB 39713 912 2 I -PRON- PRP 39713 912 3 say say VBP 39713 912 4 that that IN 39713 912 5 we -PRON- PRP 39713 912 6 represent represent VBP 39713 912 7 to to IN 39713 912 8 ourselves -PRON- PRP 39713 912 9 these these DT 39713 912 10 movements movement NNS 39713 912 11 , , , 39713 912 12 I -PRON- PRP 39713 912 13 mean mean VBP 39713 912 14 only only RB 39713 912 15 that that IN 39713 912 16 we -PRON- PRP 39713 912 17 represent represent VBP 39713 912 18 to to IN 39713 912 19 ourselves -PRON- PRP 39713 912 20 the the DT 39713 912 21 muscular muscular JJ 39713 912 22 sensations sensation NNS 39713 912 23 which which WDT 39713 912 24 accompany accompany VBP 39713 912 25 them -PRON- PRP 39713 912 26 and and CC 39713 912 27 which which WDT 39713 912 28 have have VBP 39713 912 29 no no DT 39713 912 30 geometric geometric JJ 39713 912 31 character character NN 39713 912 32 whatever whatever WDT 39713 912 33 , , , 39713 912 34 which which WDT 39713 912 35 consequently consequently RB 39713 912 36 do do VBP 39713 912 37 not not RB 39713 912 38 at at RB 39713 912 39 all all RB 39713 912 40 imply imply VB 39713 912 41 the the DT 39713 912 42 preexistence preexistence NN 39713 912 43 of of IN 39713 912 44 the the DT 39713 912 45 notion notion NN 39713 912 46 of of IN 39713 912 47 space space NN 39713 912 48 . . . 39713 913 1 CHANGE CHANGE NNS 39713 913 2 OF of IN 39713 913 3 STATE state NN 39713 913 4 AND and CC 39713 913 5 CHANGE CHANGE NNS 39713 913 6 OF of IN 39713 913 7 POSITION.--But position.--but NN 39713 913 8 , , , 39713 913 9 it -PRON- PRP 39713 913 10 will will MD 39713 913 11 be be VB 39713 913 12 said say VBN 39713 913 13 , , , 39713 913 14 if if IN 39713 913 15 the the DT 39713 913 16 idea idea NN 39713 913 17 of of IN 39713 913 18 geometric geometric JJ 39713 913 19 space space NN 39713 913 20 is be VBZ 39713 913 21 not not RB 39713 913 22 imposed impose VBN 39713 913 23 upon upon IN 39713 913 24 our -PRON- PRP$ 39713 913 25 mind mind NN 39713 913 26 , , , 39713 913 27 and and CC 39713 913 28 if if IN 39713 913 29 , , , 39713 913 30 on on IN 39713 913 31 the the DT 39713 913 32 other other JJ 39713 913 33 hand hand NN 39713 913 34 , , , 39713 913 35 none none NN 39713 913 36 of of IN 39713 913 37 our -PRON- PRP$ 39713 913 38 sensations sensation NNS 39713 913 39 can can MD 39713 913 40 furnish furnish VB 39713 913 41 it -PRON- PRP 39713 913 42 , , , 39713 913 43 how how WRB 39713 913 44 could could MD 39713 913 45 it -PRON- PRP 39713 913 46 have have VB 39713 913 47 come come VBN 39713 913 48 into into IN 39713 913 49 existence existence NN 39713 913 50 ? ? . 39713 914 1 This this DT 39713 914 2 is be VBZ 39713 914 3 what what WP 39713 914 4 we -PRON- PRP 39713 914 5 have have VBP 39713 914 6 now now RB 39713 914 7 to to TO 39713 914 8 examine examine VB 39713 914 9 , , , 39713 914 10 and and CC 39713 914 11 it -PRON- PRP 39713 914 12 will will MD 39713 914 13 take take VB 39713 914 14 some some DT 39713 914 15 time time NN 39713 914 16 , , , 39713 914 17 but but CC 39713 914 18 I -PRON- PRP 39713 914 19 can can MD 39713 914 20 summarize summarize VB 39713 914 21 in in IN 39713 914 22 a a DT 39713 914 23 few few JJ 39713 914 24 words word NNS 39713 914 25 the the DT 39713 914 26 attempt attempt NN 39713 914 27 at at IN 39713 914 28 explanation explanation NN 39713 914 29 that that WDT 39713 914 30 I -PRON- PRP 39713 914 31 am be VBP 39713 914 32 about about JJ 39713 914 33 to to TO 39713 914 34 develop develop VB 39713 914 35 . . . 39713 915 1 _ _ NNP 39713 915 2 None none NN 39713 915 3 of of IN 39713 915 4 our -PRON- PRP$ 39713 915 5 sensations sensation NNS 39713 915 6 , , , 39713 915 7 isolated isolate VBN 39713 915 8 , , , 39713 915 9 could could MD 39713 915 10 have have VB 39713 915 11 conducted conduct VBN 39713 915 12 us -PRON- PRP 39713 915 13 to to IN 39713 915 14 the the DT 39713 915 15 idea idea NN 39713 915 16 of of IN 39713 915 17 space space NN 39713 915 18 ; ; : 39713 915 19 we -PRON- PRP 39713 915 20 are be VBP 39713 915 21 led lead VBN 39713 915 22 to to IN 39713 915 23 it -PRON- PRP 39713 915 24 only only RB 39713 915 25 in in IN 39713 915 26 studying study VBG 39713 915 27 the the DT 39713 915 28 laws law NNS 39713 915 29 , , , 39713 915 30 according accord VBG 39713 915 31 to to IN 39713 915 32 which which WDT 39713 915 33 these these DT 39713 915 34 sensations sensation NNS 39713 915 35 succeed succeed VBP 39713 915 36 each each DT 39713 915 37 other other JJ 39713 915 38 . . . 39713 915 39 _ _ NNP 39713 915 40 We -PRON- PRP 39713 915 41 see see VBP 39713 915 42 first first RB 39713 915 43 that that IN 39713 915 44 our -PRON- PRP$ 39713 915 45 impressions impression NNS 39713 915 46 are be VBP 39713 915 47 subject subject JJ 39713 915 48 to to IN 39713 915 49 change change NN 39713 915 50 ; ; : 39713 915 51 but but CC 39713 915 52 among among IN 39713 915 53 the the DT 39713 915 54 changes change NNS 39713 915 55 we -PRON- PRP 39713 915 56 ascertain ascertain VBP 39713 915 57 we -PRON- PRP 39713 915 58 are be VBP 39713 915 59 soon soon RB 39713 915 60 led lead VBN 39713 915 61 to to TO 39713 915 62 make make VB 39713 915 63 a a DT 39713 915 64 distinction distinction NN 39713 915 65 . . . 39713 916 1 At at IN 39713 916 2 one one CD 39713 916 3 time time NN 39713 916 4 we -PRON- PRP 39713 916 5 say say VBP 39713 916 6 that that IN 39713 916 7 the the DT 39713 916 8 objects object NNS 39713 916 9 which which WDT 39713 916 10 cause cause VBP 39713 916 11 these these DT 39713 916 12 impressions impression NNS 39713 916 13 have have VBP 39713 916 14 changed change VBN 39713 916 15 state state NN 39713 916 16 , , , 39713 916 17 at at IN 39713 916 18 another another DT 39713 916 19 time time NN 39713 916 20 that that WDT 39713 916 21 they -PRON- PRP 39713 916 22 have have VBP 39713 916 23 changed change VBN 39713 916 24 position position NN 39713 916 25 , , , 39713 916 26 that that IN 39713 916 27 they -PRON- PRP 39713 916 28 have have VBP 39713 916 29 only only RB 39713 916 30 been be VBN 39713 916 31 displaced displace VBN 39713 916 32 . . . 39713 917 1 Whether whether IN 39713 917 2 an an DT 39713 917 3 object object NN 39713 917 4 changes change VBZ 39713 917 5 its -PRON- PRP$ 39713 917 6 state state NN 39713 917 7 or or CC 39713 917 8 merely merely RB 39713 917 9 its -PRON- PRP$ 39713 917 10 position position NN 39713 917 11 , , , 39713 917 12 this this DT 39713 917 13 is be VBZ 39713 917 14 always always RB 39713 917 15 translated translate VBN 39713 917 16 for for IN 39713 917 17 us -PRON- PRP 39713 917 18 in in IN 39713 917 19 the the DT 39713 917 20 same same JJ 39713 917 21 manner manner NN 39713 917 22 : : : 39713 917 23 _ _ NNP 39713 917 24 by by IN 39713 917 25 a a DT 39713 917 26 modification modification NN 39713 917 27 in in IN 39713 917 28 an an DT 39713 917 29 aggregate aggregate NN 39713 917 30 of of IN 39713 917 31 impressions impression NNS 39713 917 32 _ _ NNP 39713 917 33 . . . 39713 918 1 How how WRB 39713 918 2 then then RB 39713 918 3 could could MD 39713 918 4 we -PRON- PRP 39713 918 5 have have VB 39713 918 6 been be VBN 39713 918 7 led lead VBN 39713 918 8 to to TO 39713 918 9 distinguish distinguish VB 39713 918 10 between between IN 39713 918 11 the the DT 39713 918 12 two two CD 39713 918 13 ? ? . 39713 919 1 It -PRON- PRP 39713 919 2 is be VBZ 39713 919 3 easy easy JJ 39713 919 4 to to TO 39713 919 5 account account VB 39713 919 6 for for IN 39713 919 7 . . . 39713 920 1 If if IN 39713 920 2 there there EX 39713 920 3 has have VBZ 39713 920 4 only only RB 39713 920 5 been be VBN 39713 920 6 a a DT 39713 920 7 change change NN 39713 920 8 of of IN 39713 920 9 position position NN 39713 920 10 , , , 39713 920 11 we -PRON- PRP 39713 920 12 can can MD 39713 920 13 restore restore VB 39713 920 14 the the DT 39713 920 15 primitive primitive JJ 39713 920 16 aggregate aggregate NN 39713 920 17 of of IN 39713 920 18 impressions impression NNS 39713 920 19 by by IN 39713 920 20 making make VBG 39713 920 21 movements movement NNS 39713 920 22 which which WDT 39713 920 23 replace replace VBP 39713 920 24 us -PRON- PRP 39713 920 25 opposite opposite IN 39713 920 26 the the DT 39713 920 27 mobile mobile JJ 39713 920 28 object object NN 39713 920 29 in in IN 39713 920 30 the the DT 39713 920 31 same same JJ 39713 920 32 _ _ NNP 39713 920 33 relative relative JJ 39713 920 34 _ _ NNP 39713 920 35 situation situation NN 39713 920 36 . . . 39713 921 1 We -PRON- PRP 39713 921 2 thus thus RB 39713 921 3 _ _ NNP 39713 921 4 correct correct JJ 39713 921 5 _ _ IN 39713 921 6 the the DT 39713 921 7 modification modification NN 39713 921 8 that that WDT 39713 921 9 happened happen VBD 39713 921 10 and and CC 39713 921 11 we -PRON- PRP 39713 921 12 reestablish reestablish VBP 39713 921 13 the the DT 39713 921 14 initial initial JJ 39713 921 15 state state NN 39713 921 16 by by IN 39713 921 17 an an DT 39713 921 18 inverse inverse NN 39713 921 19 modification modification NN 39713 921 20 . . . 39713 922 1 If if IN 39713 922 2 it -PRON- PRP 39713 922 3 is be VBZ 39713 922 4 a a DT 39713 922 5 question question NN 39713 922 6 of of IN 39713 922 7 sight sight NN 39713 922 8 , , , 39713 922 9 for for IN 39713 922 10 example example NN 39713 922 11 , , , 39713 922 12 and and CC 39713 922 13 if if IN 39713 922 14 an an DT 39713 922 15 object object NN 39713 922 16 changes change VBZ 39713 922 17 its -PRON- PRP$ 39713 922 18 place place NN 39713 922 19 before before IN 39713 922 20 our -PRON- PRP$ 39713 922 21 eye eye NN 39713 922 22 , , , 39713 922 23 we -PRON- PRP 39713 922 24 can can MD 39713 922 25 ' ' `` 39713 922 26 follow follow VB 39713 922 27 it -PRON- PRP 39713 922 28 with with IN 39713 922 29 the the DT 39713 922 30 eye eye NN 39713 922 31 ' ' '' 39713 922 32 and and CC 39713 922 33 maintain maintain VB 39713 922 34 its -PRON- PRP$ 39713 922 35 image image NN 39713 922 36 on on IN 39713 922 37 the the DT 39713 922 38 same same JJ 39713 922 39 point point NN 39713 922 40 of of IN 39713 922 41 the the DT 39713 922 42 retina retina NNP 39713 922 43 by by IN 39713 922 44 appropriate appropriate JJ 39713 922 45 movements movement NNS 39713 922 46 of of IN 39713 922 47 the the DT 39713 922 48 eyeball eyeball NN 39713 922 49 . . . 39713 923 1 These these DT 39713 923 2 movements movement NNS 39713 923 3 we -PRON- PRP 39713 923 4 are be VBP 39713 923 5 conscious conscious JJ 39713 923 6 of of IN 39713 923 7 because because IN 39713 923 8 they -PRON- PRP 39713 923 9 are be VBP 39713 923 10 voluntary voluntary JJ 39713 923 11 and and CC 39713 923 12 because because IN 39713 923 13 they -PRON- PRP 39713 923 14 are be VBP 39713 923 15 accompanied accompany VBN 39713 923 16 by by IN 39713 923 17 muscular muscular JJ 39713 923 18 sensations sensation NNS 39713 923 19 , , , 39713 923 20 but but CC 39713 923 21 that that DT 39713 923 22 does do VBZ 39713 923 23 not not RB 39713 923 24 mean mean VB 39713 923 25 that that IN 39713 923 26 we -PRON- PRP 39713 923 27 represent represent VBP 39713 923 28 them -PRON- PRP 39713 923 29 to to IN 39713 923 30 ourselves -PRON- PRP 39713 923 31 in in IN 39713 923 32 geometric geometric JJ 39713 923 33 space space NN 39713 923 34 . . . 39713 924 1 So so RB 39713 924 2 what what WP 39713 924 3 characterizes characterize VBZ 39713 924 4 change change NN 39713 924 5 of of IN 39713 924 6 position position NN 39713 924 7 , , , 39713 924 8 what what WP 39713 924 9 distinguishes distinguish VBZ 39713 924 10 it -PRON- PRP 39713 924 11 from from IN 39713 924 12 change change NN 39713 924 13 of of IN 39713 924 14 state state NN 39713 924 15 , , , 39713 924 16 is be VBZ 39713 924 17 that that IN 39713 924 18 it -PRON- PRP 39713 924 19 can can MD 39713 924 20 always always RB 39713 924 21 be be VB 39713 924 22 corrected correct VBN 39713 924 23 in in IN 39713 924 24 this this DT 39713 924 25 way way NN 39713 924 26 . . . 39713 925 1 It -PRON- PRP 39713 925 2 may may MD 39713 925 3 therefore therefore RB 39713 925 4 happen happen VB 39713 925 5 that that IN 39713 925 6 we -PRON- PRP 39713 925 7 pass pass VBP 39713 925 8 from from IN 39713 925 9 the the DT 39713 925 10 totality totality NN 39713 925 11 of of IN 39713 925 12 impressions impression NNS 39713 925 13 _ _ NNP 39713 925 14 A A NNP 39713 925 15 _ _ NNP 39713 925 16 to to IN 39713 925 17 the the DT 39713 925 18 totality totality NN 39713 925 19 _ _ NNP 39713 925 20 B B NNP 39713 925 21 _ _ NNP 39713 925 22 in in IN 39713 925 23 two two CD 39713 925 24 different different JJ 39713 925 25 ways way NNS 39713 925 26 : : : 39713 925 27 1º 1º CD 39713 925 28 Involuntarily involuntarily RB 39713 925 29 and and CC 39713 925 30 without without IN 39713 925 31 experiencing experience VBG 39713 925 32 muscular muscular JJ 39713 925 33 sensations sensation NNS 39713 925 34 ; ; : 39713 925 35 this this DT 39713 925 36 happens happen VBZ 39713 925 37 when when WRB 39713 925 38 it -PRON- PRP 39713 925 39 is be VBZ 39713 925 40 the the DT 39713 925 41 object object NN 39713 925 42 which which WDT 39713 925 43 changes change VBZ 39713 925 44 place place NN 39713 925 45 ; ; : 39713 925 46 2 2 CD 39713 925 47 ° ° , 39713 925 48 Voluntarily voluntarily RB 39713 925 49 and and CC 39713 925 50 with with IN 39713 925 51 muscular muscular JJ 39713 925 52 sensations sensation NNS 39713 925 53 ; ; : 39713 925 54 this this DT 39713 925 55 happens happen VBZ 39713 925 56 when when WRB 39713 925 57 the the DT 39713 925 58 object object NN 39713 925 59 is be VBZ 39713 925 60 motionless motionless JJ 39713 925 61 , , , 39713 925 62 but but CC 39713 925 63 we -PRON- PRP 39713 925 64 move move VBP 39713 925 65 so so IN 39713 925 66 that that IN 39713 925 67 the the DT 39713 925 68 object object NN 39713 925 69 has have VBZ 39713 925 70 relative relative JJ 39713 925 71 motion motion NN 39713 925 72 with with IN 39713 925 73 reference reference NN 39713 925 74 to to IN 39713 925 75 us -PRON- PRP 39713 925 76 . . . 39713 926 1 If if IN 39713 926 2 this this DT 39713 926 3 be be VB 39713 926 4 so so RB 39713 926 5 , , , 39713 926 6 the the DT 39713 926 7 passage passage NN 39713 926 8 from from IN 39713 926 9 the the DT 39713 926 10 totality totality NN 39713 926 11 _ _ NNP 39713 926 12 A A NNP 39713 926 13 _ _ NNP 39713 926 14 to to IN 39713 926 15 the the DT 39713 926 16 totality totality NN 39713 926 17 _ _ NNP 39713 926 18 B B NNP 39713 926 19 _ _ NNP 39713 926 20 is be VBZ 39713 926 21 only only RB 39713 926 22 a a DT 39713 926 23 change change NN 39713 926 24 of of IN 39713 926 25 position position NN 39713 926 26 . . . 39713 927 1 It -PRON- PRP 39713 927 2 follows follow VBZ 39713 927 3 from from IN 39713 927 4 this this DT 39713 927 5 that that DT 39713 927 6 sight sight NN 39713 927 7 and and CC 39713 927 8 touch touch NN 39713 927 9 could could MD 39713 927 10 not not RB 39713 927 11 have have VB 39713 927 12 given give VBN 39713 927 13 us -PRON- PRP 39713 927 14 the the DT 39713 927 15 notion notion NN 39713 927 16 of of IN 39713 927 17 space space NN 39713 927 18 without without IN 39713 927 19 the the DT 39713 927 20 aid aid NN 39713 927 21 of of IN 39713 927 22 the the DT 39713 927 23 ' ' `` 39713 927 24 muscular muscular JJ 39713 927 25 sense sense NN 39713 927 26 . . . 39713 927 27 ' ' '' 39713 928 1 Not not RB 39713 928 2 only only RB 39713 928 3 could could MD 39713 928 4 this this DT 39713 928 5 notion notion NN 39713 928 6 not not RB 39713 928 7 be be VB 39713 928 8 derived derive VBN 39713 928 9 from from IN 39713 928 10 a a DT 39713 928 11 single single JJ 39713 928 12 sensation sensation NN 39713 928 13 or or CC 39713 928 14 even even RB 39713 928 15 _ _ NNP 39713 928 16 from from IN 39713 928 17 a a DT 39713 928 18 series series NN 39713 928 19 of of IN 39713 928 20 sensations sensation NNS 39713 928 21 _ _ NNP 39713 928 22 , , , 39713 928 23 but but CC 39713 928 24 what what WP 39713 928 25 is be VBZ 39713 928 26 more more JJR 39713 928 27 , , , 39713 928 28 an an DT 39713 928 29 _ _ NNP 39713 928 30 immobile immobile NN 39713 928 31 _ _ NNP 39713 928 32 being be VBG 39713 928 33 could could MD 39713 928 34 never never RB 39713 928 35 have have VB 39713 928 36 acquired acquire VBN 39713 928 37 it -PRON- PRP 39713 928 38 , , , 39713 928 39 since since IN 39713 928 40 , , , 39713 928 41 not not RB 39713 928 42 being be VBG 39713 928 43 able able JJ 39713 928 44 to to TO 39713 928 45 _ _ NNP 39713 928 46 correct correct JJ 39713 928 47 _ _ NNP 39713 928 48 by by IN 39713 928 49 his -PRON- PRP$ 39713 928 50 movements movement NNS 39713 928 51 the the DT 39713 928 52 effects effect NNS 39713 928 53 of of IN 39713 928 54 the the DT 39713 928 55 changes change NNS 39713 928 56 of of IN 39713 928 57 position position NN 39713 928 58 of of IN 39713 928 59 exterior exterior JJ 39713 928 60 objects object NNS 39713 928 61 , , , 39713 928 62 he -PRON- PRP 39713 928 63 would would MD 39713 928 64 have have VB 39713 928 65 had have VBN 39713 928 66 no no DT 39713 928 67 reason reason NN 39713 928 68 whatever whatever WDT 39713 928 69 to to TO 39713 928 70 distinguish distinguish VB 39713 928 71 them -PRON- PRP 39713 928 72 from from IN 39713 928 73 changes change NNS 39713 928 74 of of IN 39713 928 75 state state NN 39713 928 76 . . . 39713 929 1 Just just RB 39713 929 2 as as IN 39713 929 3 little little JJ 39713 929 4 could could MD 39713 929 5 he -PRON- PRP 39713 929 6 have have VB 39713 929 7 acquired acquire VBN 39713 929 8 it -PRON- PRP 39713 929 9 if if IN 39713 929 10 his -PRON- PRP$ 39713 929 11 motions motion NNS 39713 929 12 had have VBD 39713 929 13 not not RB 39713 929 14 been be VBN 39713 929 15 voluntary voluntary JJ 39713 929 16 or or CC 39713 929 17 were be VBD 39713 929 18 unaccompanied unaccompanied JJ 39713 929 19 by by IN 39713 929 20 any any DT 39713 929 21 sensations sensation NNS 39713 929 22 . . . 39713 930 1 CONDITIONS conditions NN 39713 930 2 OF of IN 39713 930 3 COMPENSATION.--How COMPENSATION.--How NNP 39713 930 4 is be VBZ 39713 930 5 a a DT 39713 930 6 like like JJ 39713 930 7 compensation compensation NN 39713 930 8 possible possible JJ 39713 930 9 , , , 39713 930 10 of of IN 39713 930 11 such such JJ 39713 930 12 sort sort NN 39713 930 13 that that IN 39713 930 14 two two CD 39713 930 15 changes change NNS 39713 930 16 , , , 39713 930 17 otherwise otherwise RB 39713 930 18 independent independent JJ 39713 930 19 of of IN 39713 930 20 each each DT 39713 930 21 other other JJ 39713 930 22 , , , 39713 930 23 reciprocally reciprocally RB 39713 930 24 correct correct VB 39713 930 25 each each DT 39713 930 26 other other JJ 39713 930 27 ? ? . 39713 931 1 A a DT 39713 931 2 mind mind NN 39713 931 3 already already RB 39713 931 4 familiar familiar JJ 39713 931 5 with with IN 39713 931 6 geometry geometry NN 39713 931 7 would would MD 39713 931 8 reason reason VB 39713 931 9 as as IN 39713 931 10 follows follow VBZ 39713 931 11 : : : 39713 931 12 Evidently evidently RB 39713 931 13 , , , 39713 931 14 if if IN 39713 931 15 there there EX 39713 931 16 is be VBZ 39713 931 17 to to TO 39713 931 18 be be VB 39713 931 19 compensation compensation NN 39713 931 20 , , , 39713 931 21 the the DT 39713 931 22 various various JJ 39713 931 23 parts part NNS 39713 931 24 of of IN 39713 931 25 the the DT 39713 931 26 external external JJ 39713 931 27 object object NN 39713 931 28 , , , 39713 931 29 on on IN 39713 931 30 the the DT 39713 931 31 one one CD 39713 931 32 hand hand NN 39713 931 33 , , , 39713 931 34 and and CC 39713 931 35 the the DT 39713 931 36 various various JJ 39713 931 37 sense sense NN 39713 931 38 organs organ NNS 39713 931 39 , , , 39713 931 40 on on IN 39713 931 41 the the DT 39713 931 42 other other JJ 39713 931 43 hand hand NN 39713 931 44 , , , 39713 931 45 must must MD 39713 931 46 be be VB 39713 931 47 in in IN 39713 931 48 the the DT 39713 931 49 same same JJ 39713 931 50 _ _ NNP 39713 931 51 relative relative JJ 39713 931 52 _ _ NNP 39713 931 53 position position NN 39713 931 54 after after IN 39713 931 55 the the DT 39713 931 56 double double JJ 39713 931 57 change change NN 39713 931 58 . . . 39713 932 1 And and CC 39713 932 2 , , , 39713 932 3 for for IN 39713 932 4 that that DT 39713 932 5 to to TO 39713 932 6 be be VB 39713 932 7 the the DT 39713 932 8 case case NN 39713 932 9 , , , 39713 932 10 the the DT 39713 932 11 various various JJ 39713 932 12 parts part NNS 39713 932 13 of of IN 39713 932 14 the the DT 39713 932 15 external external JJ 39713 932 16 object object NN 39713 932 17 must must MD 39713 932 18 likewise likewise RB 39713 932 19 have have VB 39713 932 20 retained retain VBN 39713 932 21 in in IN 39713 932 22 reference reference NN 39713 932 23 to to IN 39713 932 24 each each DT 39713 932 25 other other JJ 39713 932 26 the the DT 39713 932 27 same same JJ 39713 932 28 relative relative JJ 39713 932 29 position position NN 39713 932 30 , , , 39713 932 31 and and CC 39713 932 32 the the DT 39713 932 33 same same JJ 39713 932 34 must must MD 39713 932 35 be be VB 39713 932 36 true true JJ 39713 932 37 of of IN 39713 932 38 the the DT 39713 932 39 various various JJ 39713 932 40 parts part NNS 39713 932 41 of of IN 39713 932 42 our -PRON- PRP$ 39713 932 43 body body NN 39713 932 44 in in IN 39713 932 45 regard regard NN 39713 932 46 to to IN 39713 932 47 each each DT 39713 932 48 other other JJ 39713 932 49 . . . 39713 933 1 In in IN 39713 933 2 other other JJ 39713 933 3 words word NNS 39713 933 4 , , , 39713 933 5 the the DT 39713 933 6 external external JJ 39713 933 7 object object NN 39713 933 8 , , , 39713 933 9 in in IN 39713 933 10 the the DT 39713 933 11 first first JJ 39713 933 12 change change NN 39713 933 13 , , , 39713 933 14 must must MD 39713 933 15 be be VB 39713 933 16 displaced displace VBN 39713 933 17 as as IN 39713 933 18 is be VBZ 39713 933 19 a a DT 39713 933 20 rigid rigid JJ 39713 933 21 solid solid NN 39713 933 22 , , , 39713 933 23 and and CC 39713 933 24 so so RB 39713 933 25 must must MD 39713 933 26 it -PRON- PRP 39713 933 27 be be VB 39713 933 28 with with IN 39713 933 29 the the DT 39713 933 30 whole whole NN 39713 933 31 of of IN 39713 933 32 our -PRON- PRP$ 39713 933 33 body body NN 39713 933 34 in in IN 39713 933 35 the the DT 39713 933 36 second second JJ 39713 933 37 change change NN 39713 933 38 which which WDT 39713 933 39 corrects correct VBZ 39713 933 40 the the DT 39713 933 41 first first JJ 39713 933 42 . . . 39713 934 1 Under under IN 39713 934 2 these these DT 39713 934 3 conditions condition NNS 39713 934 4 , , , 39713 934 5 compensation compensation NN 39713 934 6 may may MD 39713 934 7 take take VB 39713 934 8 place place NN 39713 934 9 . . . 39713 935 1 But but CC 39713 935 2 we -PRON- PRP 39713 935 3 who who WP 39713 935 4 as as RB 39713 935 5 yet yet RB 39713 935 6 know know VBP 39713 935 7 nothing nothing NN 39713 935 8 of of IN 39713 935 9 geometry geometry NN 39713 935 10 , , , 39713 935 11 since since IN 39713 935 12 for for IN 39713 935 13 us -PRON- PRP 39713 935 14 the the DT 39713 935 15 notion notion NN 39713 935 16 of of IN 39713 935 17 space space NN 39713 935 18 is be VBZ 39713 935 19 not not RB 39713 935 20 yet yet RB 39713 935 21 formed form VBN 39713 935 22 , , , 39713 935 23 we -PRON- PRP 39713 935 24 can can MD 39713 935 25 not not RB 39713 935 26 reason reason VB 39713 935 27 thus thus RB 39713 935 28 , , , 39713 935 29 we -PRON- PRP 39713 935 30 can can MD 39713 935 31 not not RB 39713 935 32 foresee foresee VB 39713 935 33 _ _ NNP 39713 935 34 a a DT 39713 935 35 priori priori FW 39713 935 36 _ _ NNP 39713 935 37 whether whether IN 39713 935 38 compensation compensation NN 39713 935 39 is be VBZ 39713 935 40 possible possible JJ 39713 935 41 . . . 39713 936 1 But but CC 39713 936 2 experience experience NN 39713 936 3 teaches teach VBZ 39713 936 4 us -PRON- PRP 39713 936 5 that that IN 39713 936 6 it -PRON- PRP 39713 936 7 sometimes sometimes RB 39713 936 8 happens happen VBZ 39713 936 9 , , , 39713 936 10 and and CC 39713 936 11 it -PRON- PRP 39713 936 12 is be VBZ 39713 936 13 from from IN 39713 936 14 this this DT 39713 936 15 experimental experimental JJ 39713 936 16 fact fact NN 39713 936 17 that that IN 39713 936 18 we -PRON- PRP 39713 936 19 start start VBP 39713 936 20 to to TO 39713 936 21 distinguish distinguish VB 39713 936 22 changes change NNS 39713 936 23 of of IN 39713 936 24 state state NN 39713 936 25 from from IN 39713 936 26 changes change NNS 39713 936 27 of of IN 39713 936 28 position position NN 39713 936 29 . . . 39713 937 1 SOLID solid JJ 39713 937 2 BODIES body NNS 39713 937 3 AND and CC 39713 937 4 GEOMETRY.--Among GEOMETRY.--Among NNP 39713 937 5 surrounding surround VBG 39713 937 6 objects object NNS 39713 937 7 there there EX 39713 937 8 are be VBP 39713 937 9 some some DT 39713 937 10 which which WDT 39713 937 11 frequently frequently RB 39713 937 12 undergo undergo VBP 39713 937 13 displacements displacement NNS 39713 937 14 susceptible susceptible JJ 39713 937 15 of of IN 39713 937 16 being be VBG 39713 937 17 thus thus RB 39713 937 18 corrected correct VBN 39713 937 19 by by IN 39713 937 20 a a DT 39713 937 21 correlative correlative JJ 39713 937 22 movement movement NN 39713 937 23 of of IN 39713 937 24 our -PRON- PRP$ 39713 937 25 own own JJ 39713 937 26 body body NN 39713 937 27 ; ; : 39713 937 28 these these DT 39713 937 29 are be VBP 39713 937 30 the the DT 39713 937 31 _ _ NNP 39713 937 32 solid solid JJ 39713 937 33 bodies body NNS 39713 937 34 _ _ NNP 39713 937 35 . . . 39713 938 1 The the DT 39713 938 2 other other JJ 39713 938 3 objects object NNS 39713 938 4 , , , 39713 938 5 whose whose WP$ 39713 938 6 form form NN 39713 938 7 is be VBZ 39713 938 8 variable variable JJ 39713 938 9 , , , 39713 938 10 only only RB 39713 938 11 exceptionally exceptionally RB 39713 938 12 undergo undergo VBP 39713 938 13 like like IN 39713 938 14 displacements displacement NNS 39713 938 15 ( ( -LRB- 39713 938 16 change change NN 39713 938 17 of of IN 39713 938 18 position position NN 39713 938 19 without without IN 39713 938 20 change change NN 39713 938 21 of of IN 39713 938 22 form form NN 39713 938 23 ) ) -RRB- 39713 938 24 . . . 39713 939 1 When when WRB 39713 939 2 a a DT 39713 939 3 body body NN 39713 939 4 changes change VBZ 39713 939 5 its -PRON- PRP$ 39713 939 6 place place NN 39713 939 7 _ _ NNP 39713 939 8 and and CC 39713 939 9 its -PRON- PRP$ 39713 939 10 shape shape NN 39713 939 11 _ _ NNP 39713 939 12 , , , 39713 939 13 we -PRON- PRP 39713 939 14 can can MD 39713 939 15 no no RB 39713 939 16 longer long RBR 39713 939 17 , , , 39713 939 18 by by IN 39713 939 19 appropriate appropriate JJ 39713 939 20 movements movement NNS 39713 939 21 , , , 39713 939 22 bring bring VB 39713 939 23 back back RB 39713 939 24 our -PRON- PRP$ 39713 939 25 sense sense NN 39713 939 26 - - HYPH 39713 939 27 organs organ NNS 39713 939 28 into into IN 39713 939 29 the the DT 39713 939 30 same same JJ 39713 939 31 _ _ NNP 39713 939 32 relative relative JJ 39713 939 33 _ _ NNP 39713 939 34 situation situation NN 39713 939 35 with with IN 39713 939 36 regard regard NN 39713 939 37 to to IN 39713 939 38 this this DT 39713 939 39 body body NN 39713 939 40 ; ; : 39713 939 41 consequently consequently RB 39713 939 42 we -PRON- PRP 39713 939 43 can can MD 39713 939 44 no no RB 39713 939 45 longer longer RB 39713 939 46 reestablish reestablish VB 39713 939 47 the the DT 39713 939 48 primitive primitive JJ 39713 939 49 totality totality NN 39713 939 50 of of IN 39713 939 51 impressions impression NNS 39713 939 52 . . . 39713 940 1 It -PRON- PRP 39713 940 2 is be VBZ 39713 940 3 only only RB 39713 940 4 later later RB 39713 940 5 , , , 39713 940 6 and and CC 39713 940 7 as as IN 39713 940 8 a a DT 39713 940 9 consequence consequence NN 39713 940 10 of of IN 39713 940 11 new new JJ 39713 940 12 experiences experience NNS 39713 940 13 , , , 39713 940 14 that that IN 39713 940 15 we -PRON- PRP 39713 940 16 learn learn VBP 39713 940 17 how how WRB 39713 940 18 to to TO 39713 940 19 decompose decompose VB 39713 940 20 the the DT 39713 940 21 bodies body NNS 39713 940 22 of of IN 39713 940 23 variable variable JJ 39713 940 24 form form NN 39713 940 25 into into IN 39713 940 26 smaller small JJR 39713 940 27 elements element NNS 39713 940 28 , , , 39713 940 29 such such JJ 39713 940 30 that that IN 39713 940 31 each each DT 39713 940 32 is be VBZ 39713 940 33 displaced displace VBN 39713 940 34 almost almost RB 39713 940 35 in in IN 39713 940 36 accordance accordance NN 39713 940 37 with with IN 39713 940 38 the the DT 39713 940 39 same same JJ 39713 940 40 laws law NNS 39713 940 41 as as IN 39713 940 42 solid solid JJ 39713 940 43 bodies body NNS 39713 940 44 . . . 39713 941 1 Thus thus RB 39713 941 2 we -PRON- PRP 39713 941 3 distinguish distinguish VBP 39713 941 4 ' ' '' 39713 941 5 deformations deformation NNS 39713 941 6 ' ' '' 39713 941 7 from from IN 39713 941 8 other other JJ 39713 941 9 changes change NNS 39713 941 10 of of IN 39713 941 11 state state NN 39713 941 12 ; ; : 39713 941 13 in in IN 39713 941 14 these these DT 39713 941 15 deformations deformation NNS 39713 941 16 , , , 39713 941 17 each each DT 39713 941 18 element element NN 39713 941 19 undergoes undergo VBZ 39713 941 20 a a DT 39713 941 21 mere mere JJ 39713 941 22 change change NN 39713 941 23 of of IN 39713 941 24 position position NN 39713 941 25 , , , 39713 941 26 which which WDT 39713 941 27 can can MD 39713 941 28 be be VB 39713 941 29 corrected correct VBN 39713 941 30 , , , 39713 941 31 but but CC 39713 941 32 the the DT 39713 941 33 modification modification NN 39713 941 34 undergone undergo VBN 39713 941 35 by by IN 39713 941 36 the the DT 39713 941 37 aggregate aggregate NN 39713 941 38 is be VBZ 39713 941 39 more more RBR 39713 941 40 profound profound JJ 39713 941 41 and and CC 39713 941 42 is be VBZ 39713 941 43 no no DT 39713 941 44 longer long RBR 39713 941 45 susceptible susceptible JJ 39713 941 46 of of IN 39713 941 47 correction correction NN 39713 941 48 by by IN 39713 941 49 a a DT 39713 941 50 correlative correlative JJ 39713 941 51 movement movement NN 39713 941 52 . . . 39713 942 1 Such such PDT 39713 942 2 a a DT 39713 942 3 notion notion NN 39713 942 4 is be VBZ 39713 942 5 already already RB 39713 942 6 very very RB 39713 942 7 complex complex JJ 39713 942 8 and and CC 39713 942 9 must must MD 39713 942 10 have have VB 39713 942 11 been be VBN 39713 942 12 relatively relatively RB 39713 942 13 late late JJ 39713 942 14 in in IN 39713 942 15 appearing appear VBG 39713 942 16 ; ; : 39713 942 17 moreover moreover RB 39713 942 18 it -PRON- PRP 39713 942 19 could could MD 39713 942 20 not not RB 39713 942 21 have have VB 39713 942 22 arisen arise VBN 39713 942 23 if if IN 39713 942 24 the the DT 39713 942 25 observation observation NN 39713 942 26 of of IN 39713 942 27 solid solid JJ 39713 942 28 bodies body NNS 39713 942 29 had have VBD 39713 942 30 not not RB 39713 942 31 already already RB 39713 942 32 taught teach VBN 39713 942 33 us -PRON- PRP 39713 942 34 to to TO 39713 942 35 distinguish distinguish VB 39713 942 36 changes change NNS 39713 942 37 of of IN 39713 942 38 position position NN 39713 942 39 . . . 39713 943 1 _ _ NNP 39713 943 2 Therefore therefore RB 39713 943 3 , , , 39713 943 4 if if IN 39713 943 5 there there EX 39713 943 6 were be VBD 39713 943 7 no no DT 39713 943 8 solid solid JJ 39713 943 9 bodies body NNS 39713 943 10 in in IN 39713 943 11 nature nature NN 39713 943 12 , , , 39713 943 13 there there EX 39713 943 14 would would MD 39713 943 15 be be VB 39713 943 16 no no DT 39713 943 17 geometry geometry NN 39713 943 18 . . . 39713 943 19 _ _ NNP 39713 943 20 Another another DT 39713 943 21 remark remark NN 39713 943 22 also also RB 39713 943 23 deserves deserve VBZ 39713 943 24 a a DT 39713 943 25 moment moment NN 39713 943 26 's 's POS 39713 943 27 attention attention NN 39713 943 28 . . . 39713 944 1 Suppose suppose VB 39713 944 2 a a DT 39713 944 3 solid solid JJ 39713 944 4 body body NN 39713 944 5 to to TO 39713 944 6 occupy occupy VB 39713 944 7 successively successively RB 39713 944 8 the the DT 39713 944 9 positions position NNS 39713 944 10 [ [ -LRB- 39713 944 11 alpha alpha NN 39713 944 12 ] ] -RRB- 39713 944 13 and and CC 39713 944 14 [ [ -LRB- 39713 944 15 beta beta NN 39713 944 16 ] ] -RRB- 39713 944 17 ; ; , 39713 944 18 in in IN 39713 944 19 its -PRON- PRP$ 39713 944 20 first first JJ 39713 944 21 position position NN 39713 944 22 , , , 39713 944 23 it -PRON- PRP 39713 944 24 will will MD 39713 944 25 produce produce VB 39713 944 26 on on IN 39713 944 27 us -PRON- PRP 39713 944 28 the the DT 39713 944 29 totality totality NN 39713 944 30 of of IN 39713 944 31 impressions impression NNS 39713 944 32 _ _ NNP 39713 944 33 A A NNP 39713 944 34 _ _ NNP 39713 944 35 , , , 39713 944 36 and and CC 39713 944 37 in in IN 39713 944 38 its -PRON- PRP$ 39713 944 39 second second JJ 39713 944 40 position position NN 39713 944 41 the the DT 39713 944 42 totality totality NN 39713 944 43 of of IN 39713 944 44 impressions impression NNS 39713 944 45 _ _ NNP 39713 944 46 B B NNP 39713 944 47 _ _ NNP 39713 944 48 . . . 39713 945 1 Let let VB 39713 945 2 there there EX 39713 945 3 be be VB 39713 945 4 now now RB 39713 945 5 a a DT 39713 945 6 second second JJ 39713 945 7 solid solid JJ 39713 945 8 body body NN 39713 945 9 , , , 39713 945 10 having have VBG 39713 945 11 qualities quality NNS 39713 945 12 entirely entirely RB 39713 945 13 different different JJ 39713 945 14 from from IN 39713 945 15 the the DT 39713 945 16 first first JJ 39713 945 17 , , , 39713 945 18 for for IN 39713 945 19 example example NN 39713 945 20 , , , 39713 945 21 a a DT 39713 945 22 different different JJ 39713 945 23 color color NN 39713 945 24 . . . 39713 946 1 Suppose suppose VB 39713 946 2 it -PRON- PRP 39713 946 3 to to TO 39713 946 4 pass pass VB 39713 946 5 from from IN 39713 946 6 the the DT 39713 946 7 position position NN 39713 946 8 [ [ -LRB- 39713 946 9 alpha alpha NN 39713 946 10 ] ] -RRB- 39713 946 11 , , , 39713 946 12 where where WRB 39713 946 13 it -PRON- PRP 39713 946 14 gives give VBZ 39713 946 15 us -PRON- PRP 39713 946 16 the the DT 39713 946 17 totality totality NN 39713 946 18 of of IN 39713 946 19 impressions impression NNS 39713 946 20 _ _ NNP 39713 946 21 A A NNP 39713 946 22 ' ' '' 39713 946 23 _ _ NNP 39713 946 24 , , , 39713 946 25 to to IN 39713 946 26 the the DT 39713 946 27 position position NN 39713 946 28 [ [ -LRB- 39713 946 29 beta beta NN 39713 946 30 ] ] -RRB- 39713 946 31 , , , 39713 946 32 where where WRB 39713 946 33 it -PRON- PRP 39713 946 34 gives give VBZ 39713 946 35 the the DT 39713 946 36 totality totality NN 39713 946 37 of of IN 39713 946 38 impressions impression NNS 39713 946 39 _ _ NNP 39713 946 40 B B NNP 39713 946 41 ' ' '' 39713 946 42 _ _ NNP 39713 946 43 . . . 39713 947 1 In in IN 39713 947 2 general general JJ 39713 947 3 , , , 39713 947 4 the the DT 39713 947 5 totality totality NN 39713 947 6 _ _ NNP 39713 947 7 A A NNP 39713 947 8 _ _ NNP 39713 947 9 will will MD 39713 947 10 have have VB 39713 947 11 nothing nothing NN 39713 947 12 in in IN 39713 947 13 common common JJ 39713 947 14 with with IN 39713 947 15 the the DT 39713 947 16 totality totality NN 39713 947 17 _ _ NNP 39713 947 18 A A NNP 39713 947 19 ' ' '' 39713 947 20 _ _ NNP 39713 947 21 , , , 39713 947 22 nor nor CC 39713 947 23 the the DT 39713 947 24 totality totality NN 39713 947 25 _ _ NNP 39713 947 26 B B NNP 39713 947 27 _ _ NNP 39713 947 28 with with IN 39713 947 29 the the DT 39713 947 30 totality totality NN 39713 947 31 _ _ NNP 39713 947 32 B B NNP 39713 947 33 ' ' '' 39713 947 34 _ _ NNP 39713 947 35 . . . 39713 948 1 The the DT 39713 948 2 transition transition NN 39713 948 3 from from IN 39713 948 4 the the DT 39713 948 5 totality totality NN 39713 948 6 _ _ NNP 39713 948 7 A A NNP 39713 948 8 _ _ NNP 39713 948 9 to to IN 39713 948 10 the the DT 39713 948 11 totality totality NN 39713 948 12 _ _ NNP 39713 948 13 B B NNP 39713 948 14 _ _ NNP 39713 948 15 and and CC 39713 948 16 that that IN 39713 948 17 from from IN 39713 948 18 the the DT 39713 948 19 totality totality NN 39713 948 20 _ _ NNP 39713 948 21 A A NNP 39713 948 22 ' ' '' 39713 948 23 _ _ NN 39713 948 24 to to IN 39713 948 25 the the DT 39713 948 26 totality totality NN 39713 948 27 _ _ NNP 39713 948 28 B B NNP 39713 948 29 ' ' '' 39713 948 30 _ _ NNP 39713 948 31 are be VBP 39713 948 32 therefore therefore RB 39713 948 33 two two CD 39713 948 34 changes change NNS 39713 948 35 which which WDT 39713 948 36 _ _ VBP 39713 948 37 in in IN 39713 948 38 themselves -PRON- PRP 39713 948 39 _ _ NNP 39713 948 40 have have VBP 39713 948 41 in in IN 39713 948 42 general general JJ 39713 948 43 nothing nothing NN 39713 948 44 in in IN 39713 948 45 common common JJ 39713 948 46 . . . 39713 949 1 And and CC 39713 949 2 yet yet RB 39713 949 3 we -PRON- PRP 39713 949 4 regard regard VBP 39713 949 5 these these DT 39713 949 6 two two CD 39713 949 7 changes change NNS 39713 949 8 both both DT 39713 949 9 as as IN 39713 949 10 displacements displacement NNS 39713 949 11 and and CC 39713 949 12 , , , 39713 949 13 furthermore furthermore RB 39713 949 14 , , , 39713 949 15 we -PRON- PRP 39713 949 16 consider consider VBP 39713 949 17 them -PRON- PRP 39713 949 18 as as IN 39713 949 19 the the DT 39713 949 20 _ _ NNP 39713 949 21 same same JJ 39713 949 22 _ _ NNP 39713 949 23 displacement displacement NN 39713 949 24 . . . 39713 950 1 How how WRB 39713 950 2 can can MD 39713 950 3 that that DT 39713 950 4 be be VB 39713 950 5 ? ? . 39713 951 1 It -PRON- PRP 39713 951 2 is be VBZ 39713 951 3 simply simply RB 39713 951 4 because because IN 39713 951 5 they -PRON- PRP 39713 951 6 can can MD 39713 951 7 both both RB 39713 951 8 be be VB 39713 951 9 corrected correct VBN 39713 951 10 by by IN 39713 951 11 the the DT 39713 951 12 _ _ NNP 39713 951 13 same same JJ 39713 951 14 _ _ NNP 39713 951 15 correlative correlative JJ 39713 951 16 movement movement NN 39713 951 17 of of IN 39713 951 18 our -PRON- PRP$ 39713 951 19 body body NN 39713 951 20 . . . 39713 952 1 ' ' `` 39713 952 2 Correlative correlative JJ 39713 952 3 movement movement NN 39713 952 4 ' ' '' 39713 952 5 therefore therefore RB 39713 952 6 constitutes constitute VBZ 39713 952 7 the the DT 39713 952 8 _ _ NNP 39713 952 9 sole sole JJ 39713 952 10 connection connection NN 39713 952 11 _ _ NNP 39713 952 12 between between IN 39713 952 13 two two CD 39713 952 14 phenomena phenomenon NNS 39713 952 15 which which WDT 39713 952 16 otherwise otherwise RB 39713 952 17 we -PRON- PRP 39713 952 18 never never RB 39713 952 19 should should MD 39713 952 20 have have VB 39713 952 21 dreamt dream VBN 39713 952 22 of of IN 39713 952 23 likening liken VBG 39713 952 24 . . . 39713 953 1 On on IN 39713 953 2 the the DT 39713 953 3 other other JJ 39713 953 4 hand hand NN 39713 953 5 , , , 39713 953 6 our -PRON- PRP$ 39713 953 7 body body NN 39713 953 8 , , , 39713 953 9 thanks thank NNS 39713 953 10 to to IN 39713 953 11 the the DT 39713 953 12 number number NN 39713 953 13 of of IN 39713 953 14 its -PRON- PRP$ 39713 953 15 articulations articulation NNS 39713 953 16 and and CC 39713 953 17 muscles muscle NNS 39713 953 18 , , , 39713 953 19 may may MD 39713 953 20 make make VB 39713 953 21 a a DT 39713 953 22 multitude multitude NN 39713 953 23 of of IN 39713 953 24 different different JJ 39713 953 25 movements movement NNS 39713 953 26 ; ; : 39713 953 27 but but CC 39713 953 28 all all DT 39713 953 29 are be VBP 39713 953 30 not not RB 39713 953 31 capable capable JJ 39713 953 32 of of IN 39713 953 33 ' ' `` 39713 953 34 correcting correct VBG 39713 953 35 ' ' '' 39713 953 36 a a DT 39713 953 37 modification modification NN 39713 953 38 of of IN 39713 953 39 external external JJ 39713 953 40 objects object NNS 39713 953 41 ; ; : 39713 953 42 only only RB 39713 953 43 those those DT 39713 953 44 will will MD 39713 953 45 be be VB 39713 953 46 capable capable JJ 39713 953 47 of of IN 39713 953 48 it -PRON- PRP 39713 953 49 in in IN 39713 953 50 which which WDT 39713 953 51 our -PRON- PRP$ 39713 953 52 whole whole JJ 39713 953 53 body body NN 39713 953 54 , , , 39713 953 55 or or CC 39713 953 56 at at IN 39713 953 57 least least JJS 39713 953 58 all all PDT 39713 953 59 those those DT 39713 953 60 of of IN 39713 953 61 our -PRON- PRP$ 39713 953 62 sense sense NN 39713 953 63 - - HYPH 39713 953 64 organs organ NNS 39713 953 65 which which WDT 39713 953 66 come come VBP 39713 953 67 into into IN 39713 953 68 play play NN 39713 953 69 , , , 39713 953 70 are be VBP 39713 953 71 displaced displace VBN 39713 953 72 as as IN 39713 953 73 a a DT 39713 953 74 whole whole NN 39713 953 75 , , , 39713 953 76 that that RB 39713 953 77 is is RB 39713 953 78 , , , 39713 953 79 without without IN 39713 953 80 their -PRON- PRP$ 39713 953 81 relative relative JJ 39713 953 82 positions position NNS 39713 953 83 varying varying NN 39713 953 84 , , , 39713 953 85 or or CC 39713 953 86 in in IN 39713 953 87 the the DT 39713 953 88 fashion fashion NN 39713 953 89 of of IN 39713 953 90 a a DT 39713 953 91 solid solid JJ 39713 953 92 body body NN 39713 953 93 . . . 39713 954 1 To to TO 39713 954 2 summarize summarize VB 39713 954 3 : : : 39713 954 4 1º 1º NNS 39713 954 5 We -PRON- PRP 39713 954 6 are be VBP 39713 954 7 led lead VBN 39713 954 8 at at IN 39713 954 9 first first RB 39713 954 10 to to TO 39713 954 11 distinguish distinguish VB 39713 954 12 two two CD 39713 954 13 categories category NNS 39713 954 14 of of IN 39713 954 15 phenomena phenomenon NNS 39713 954 16 : : : 39713 954 17 Some some DT 39713 954 18 , , , 39713 954 19 involuntary involuntary JJ 39713 954 20 , , , 39713 954 21 unaccompanied unaccompanied JJ 39713 954 22 by by IN 39713 954 23 muscular muscular JJ 39713 954 24 sensations sensation NNS 39713 954 25 , , , 39713 954 26 are be VBP 39713 954 27 attributed attribute VBN 39713 954 28 by by IN 39713 954 29 us -PRON- PRP 39713 954 30 to to IN 39713 954 31 external external JJ 39713 954 32 objects object NNS 39713 954 33 ; ; : 39713 954 34 these these DT 39713 954 35 are be VBP 39713 954 36 external external JJ 39713 954 37 changes change NNS 39713 954 38 ; ; : 39713 954 39 Others other NNS 39713 954 40 , , , 39713 954 41 opposite opposite RB 39713 954 42 in in IN 39713 954 43 character character NN 39713 954 44 and and CC 39713 954 45 attributed attribute VBN 39713 954 46 by by IN 39713 954 47 us -PRON- PRP 39713 954 48 to to IN 39713 954 49 the the DT 39713 954 50 movements movement NNS 39713 954 51 of of IN 39713 954 52 our -PRON- PRP$ 39713 954 53 own own JJ 39713 954 54 body body NN 39713 954 55 , , , 39713 954 56 are be VBP 39713 954 57 internal internal JJ 39713 954 58 changes change NNS 39713 954 59 ; ; : 39713 954 60 2º 2º NNS 39713 954 61 We -PRON- PRP 39713 954 62 notice notice VBP 39713 954 63 that that IN 39713 954 64 certain certain JJ 39713 954 65 changes change NNS 39713 954 66 of of IN 39713 954 67 each each DT 39713 954 68 of of IN 39713 954 69 these these DT 39713 954 70 categories category NNS 39713 954 71 may may MD 39713 954 72 be be VB 39713 954 73 corrected correct VBN 39713 954 74 by by IN 39713 954 75 a a DT 39713 954 76 correlative correlative JJ 39713 954 77 change change NN 39713 954 78 of of IN 39713 954 79 the the DT 39713 954 80 other other JJ 39713 954 81 category category NN 39713 954 82 ; ; : 39713 954 83 3º 3º NN 39713 954 84 We -PRON- PRP 39713 954 85 distinguish distinguish VBP 39713 954 86 among among IN 39713 954 87 external external JJ 39713 954 88 changes change NNS 39713 954 89 those those DT 39713 954 90 which which WDT 39713 954 91 have have VBP 39713 954 92 thus thus RB 39713 954 93 a a DT 39713 954 94 correlative correlative NN 39713 954 95 in in IN 39713 954 96 the the DT 39713 954 97 other other JJ 39713 954 98 category category NN 39713 954 99 ; ; : 39713 954 100 these these DT 39713 954 101 we -PRON- PRP 39713 954 102 call call VBP 39713 954 103 displacements displacement NNS 39713 954 104 ; ; : 39713 954 105 and and CC 39713 954 106 just just RB 39713 954 107 so so RB 39713 954 108 among among IN 39713 954 109 the the DT 39713 954 110 internal internal JJ 39713 954 111 changes change NNS 39713 954 112 , , , 39713 954 113 we -PRON- PRP 39713 954 114 distinguish distinguish VBP 39713 954 115 those those DT 39713 954 116 which which WDT 39713 954 117 have have VBP 39713 954 118 a a DT 39713 954 119 correlative correlative NN 39713 954 120 in in IN 39713 954 121 the the DT 39713 954 122 first first JJ 39713 954 123 category category NN 39713 954 124 . . . 39713 955 1 Thus thus RB 39713 955 2 are be VBP 39713 955 3 defined define VBN 39713 955 4 , , , 39713 955 5 thanks thank NNS 39713 955 6 to to IN 39713 955 7 this this DT 39713 955 8 reciprocity reciprocity NN 39713 955 9 , , , 39713 955 10 a a DT 39713 955 11 particular particular JJ 39713 955 12 class class NN 39713 955 13 of of IN 39713 955 14 phenomena phenomenon NNS 39713 955 15 which which WDT 39713 955 16 we -PRON- PRP 39713 955 17 call call VBP 39713 955 18 displacements displacement NNS 39713 955 19 . . . 39713 956 1 _ _ NNP 39713 956 2 The the DT 39713 956 3 laws law NNS 39713 956 4 of of IN 39713 956 5 these these DT 39713 956 6 phenomena phenomenon NNS 39713 956 7 constitute constitute VBP 39713 956 8 the the DT 39713 956 9 object object NN 39713 956 10 of of IN 39713 956 11 geometry geometry NN 39713 956 12 . . . 39713 956 13 _ _ NNP 39713 956 14 LAW law NN 39713 956 15 OF of IN 39713 956 16 HOMOGENEITY.--The HOMOGENEITY.--The . 39713 956 17 first first JJ 39713 956 18 of of IN 39713 956 19 these these DT 39713 956 20 laws law NNS 39713 956 21 is be VBZ 39713 956 22 the the DT 39713 956 23 law law NN 39713 956 24 of of IN 39713 956 25 homogeneity homogeneity NN 39713 956 26 . . . 39713 957 1 Suppose suppose VB 39713 957 2 that that IN 39713 957 3 , , , 39713 957 4 by by IN 39713 957 5 an an DT 39713 957 6 external external JJ 39713 957 7 change change NN 39713 957 8 [ [ -LRB- 39713 957 9 alpha alpha NN 39713 957 10 ] ] -RRB- 39713 957 11 , , , 39713 957 12 we -PRON- PRP 39713 957 13 pass pass VBP 39713 957 14 from from IN 39713 957 15 the the DT 39713 957 16 totality totality NN 39713 957 17 of of IN 39713 957 18 impressions impression NNS 39713 957 19 _ _ NNP 39713 957 20 A A NNP 39713 957 21 _ _ NNP 39713 957 22 to to IN 39713 957 23 the the DT 39713 957 24 totality totality NN 39713 957 25 _ _ NNP 39713 957 26 B B NNP 39713 957 27 _ _ NNP 39713 957 28 , , , 39713 957 29 then then RB 39713 957 30 that that IN 39713 957 31 this this DT 39713 957 32 change change NN 39713 957 33 [ [ -LRB- 39713 957 34 alpha alpha NN 39713 957 35 ] ] -RRB- 39713 957 36 is be VBZ 39713 957 37 corrected correct VBN 39713 957 38 by by IN 39713 957 39 a a DT 39713 957 40 correlative correlative JJ 39713 957 41 voluntary voluntary JJ 39713 957 42 movement movement NN 39713 957 43 [ [ -LRB- 39713 957 44 beta beta NN 39713 957 45 ] ] -RRB- 39713 957 46 , , , 39713 957 47 so so IN 39713 957 48 that that IN 39713 957 49 we -PRON- PRP 39713 957 50 are be VBP 39713 957 51 brought bring VBN 39713 957 52 back back RB 39713 957 53 to to IN 39713 957 54 the the DT 39713 957 55 totality totality NN 39713 957 56 _ _ NNP 39713 957 57 A A NNP 39713 957 58 _ _ NNP 39713 957 59 . . . 39713 958 1 Suppose suppose VB 39713 958 2 now now RB 39713 958 3 that that IN 39713 958 4 another another DT 39713 958 5 external external JJ 39713 958 6 change change NN 39713 958 7 [ [ -LRB- 39713 958 8 alpha alpha NN 39713 958 9 ] ] -RRB- 39713 958 10 ' ' `` 39713 958 11 makes make VBZ 39713 958 12 us -PRON- PRP 39713 958 13 pass pass VB 39713 958 14 anew anew RB 39713 958 15 from from IN 39713 958 16 the the DT 39713 958 17 totality totality NN 39713 958 18 _ _ NNP 39713 958 19 A A NNP 39713 958 20 _ _ NNP 39713 958 21 to to IN 39713 958 22 the the DT 39713 958 23 totality totality NN 39713 958 24 _ _ NNP 39713 958 25 B B NNP 39713 958 26 _ _ NNP 39713 958 27 . . . 39713 959 1 Experience experience NN 39713 959 2 teaches teach VBZ 39713 959 3 us -PRON- PRP 39713 959 4 that that IN 39713 959 5 this this DT 39713 959 6 change change NN 39713 959 7 [ [ -LRB- 39713 959 8 alpha alpha NN 39713 959 9 ] ] -RRB- 39713 959 10 ' ' '' 39713 959 11 is be VBZ 39713 959 12 , , , 39713 959 13 like like IN 39713 959 14 [ [ -LRB- 39713 959 15 alpha alpha NN 39713 959 16 ] ] -RRB- 39713 959 17 , , , 39713 959 18 susceptible susceptible JJ 39713 959 19 of of IN 39713 959 20 being be VBG 39713 959 21 corrected correct VBN 39713 959 22 by by IN 39713 959 23 a a DT 39713 959 24 correlative correlative JJ 39713 959 25 voluntary voluntary JJ 39713 959 26 movement movement NN 39713 959 27 [ [ -LRB- 39713 959 28 beta beta NN 39713 959 29 ] ] -RRB- 39713 959 30 ' ' '' 39713 959 31 and and CC 39713 959 32 that that IN 39713 959 33 this this DT 39713 959 34 movement movement NN 39713 959 35 [ [ -LRB- 39713 959 36 beta beta NN 39713 959 37 ] ] -RRB- 39713 959 38 ' ' `` 39713 959 39 corresponds correspond NNS 39713 959 40 to to IN 39713 959 41 the the DT 39713 959 42 same same JJ 39713 959 43 muscular muscular JJ 39713 959 44 sensations sensation NNS 39713 959 45 as as IN 39713 959 46 the the DT 39713 959 47 movement movement NN 39713 959 48 [ [ -LRB- 39713 959 49 beta beta NN 39713 959 50 ] ] -RRB- 39713 959 51 which which WDT 39713 959 52 corrected correct VBD 39713 959 53 [ [ -LRB- 39713 959 54 alpha alpha NN 39713 959 55 ] ] -RRB- 39713 959 56 . . . 39713 960 1 This this DT 39713 960 2 fact fact NN 39713 960 3 is be VBZ 39713 960 4 usually usually RB 39713 960 5 enunciated enunciate VBN 39713 960 6 by by IN 39713 960 7 saying say VBG 39713 960 8 that that IN 39713 960 9 _ _ NNP 39713 960 10 space space NN 39713 960 11 is be VBZ 39713 960 12 homogeneous homogeneous JJ 39713 960 13 and and CC 39713 960 14 isotropic isotropic JJ 39713 960 15 _ _ NNP 39713 960 16 . . . 39713 961 1 It -PRON- PRP 39713 961 2 may may MD 39713 961 3 also also RB 39713 961 4 be be VB 39713 961 5 said say VBN 39713 961 6 that that IN 39713 961 7 a a DT 39713 961 8 movement movement NN 39713 961 9 which which WDT 39713 961 10 has have VBZ 39713 961 11 once once RB 39713 961 12 been be VBN 39713 961 13 produced produce VBN 39713 961 14 may may MD 39713 961 15 be be VB 39713 961 16 repeated repeat VBN 39713 961 17 a a DT 39713 961 18 second second JJ 39713 961 19 and and CC 39713 961 20 a a DT 39713 961 21 third third JJ 39713 961 22 time time NN 39713 961 23 , , , 39713 961 24 and and CC 39713 961 25 so so RB 39713 961 26 on on RB 39713 961 27 , , , 39713 961 28 without without IN 39713 961 29 its -PRON- PRP$ 39713 961 30 properties property NNS 39713 961 31 varying vary VBG 39713 961 32 . . . 39713 962 1 In in IN 39713 962 2 the the DT 39713 962 3 first first JJ 39713 962 4 chapter chapter NN 39713 962 5 , , , 39713 962 6 where where WRB 39713 962 7 we -PRON- PRP 39713 962 8 discussed discuss VBD 39713 962 9 the the DT 39713 962 10 nature nature NN 39713 962 11 of of IN 39713 962 12 mathematical mathematical JJ 39713 962 13 reasoning reasoning NN 39713 962 14 , , , 39713 962 15 we -PRON- PRP 39713 962 16 saw see VBD 39713 962 17 the the DT 39713 962 18 importance importance NN 39713 962 19 which which WDT 39713 962 20 must must MD 39713 962 21 be be VB 39713 962 22 attributed attribute VBN 39713 962 23 to to IN 39713 962 24 the the DT 39713 962 25 possibility possibility NN 39713 962 26 of of IN 39713 962 27 repeating repeat VBG 39713 962 28 indefinitely indefinitely RB 39713 962 29 the the DT 39713 962 30 same same JJ 39713 962 31 operation operation NN 39713 962 32 . . . 39713 963 1 It -PRON- PRP 39713 963 2 is be VBZ 39713 963 3 from from IN 39713 963 4 this this DT 39713 963 5 repetition repetition NN 39713 963 6 that that IN 39713 963 7 mathematical mathematical JJ 39713 963 8 reasoning reasoning NN 39713 963 9 gets get VBZ 39713 963 10 its -PRON- PRP$ 39713 963 11 power power NN 39713 963 12 ; ; : 39713 963 13 it -PRON- PRP 39713 963 14 is be VBZ 39713 963 15 , , , 39713 963 16 therefore therefore RB 39713 963 17 , , , 39713 963 18 thanks thank NNS 39713 963 19 to to IN 39713 963 20 the the DT 39713 963 21 law law NN 39713 963 22 of of IN 39713 963 23 homogeneity homogeneity NN 39713 963 24 , , , 39713 963 25 that that IN 39713 963 26 it -PRON- PRP 39713 963 27 has have VBZ 39713 963 28 a a DT 39713 963 29 hold hold NN 39713 963 30 on on IN 39713 963 31 the the DT 39713 963 32 geometric geometric JJ 39713 963 33 facts fact NNS 39713 963 34 . . . 39713 964 1 For for IN 39713 964 2 completeness completeness JJ 39713 964 3 , , , 39713 964 4 to to IN 39713 964 5 the the DT 39713 964 6 law law NN 39713 964 7 of of IN 39713 964 8 homogeneity homogeneity NN 39713 964 9 should should MD 39713 964 10 be be VB 39713 964 11 added add VBN 39713 964 12 a a DT 39713 964 13 multitude multitude NN 39713 964 14 of of IN 39713 964 15 other other JJ 39713 964 16 analogous analogous JJ 39713 964 17 laws law NNS 39713 964 18 , , , 39713 964 19 into into IN 39713 964 20 the the DT 39713 964 21 details detail NNS 39713 964 22 of of IN 39713 964 23 which which WDT 39713 964 24 I -PRON- PRP 39713 964 25 do do VBP 39713 964 26 not not RB 39713 964 27 wish wish VB 39713 964 28 to to TO 39713 964 29 enter enter VB 39713 964 30 , , , 39713 964 31 but but CC 39713 964 32 which which WDT 39713 964 33 mathematicians mathematician NNS 39713 964 34 sum sum VBP 39713 964 35 up up RP 39713 964 36 in in IN 39713 964 37 a a DT 39713 964 38 word word NN 39713 964 39 by by IN 39713 964 40 saying say VBG 39713 964 41 that that IN 39713 964 42 displacements displacement NNS 39713 964 43 form form VBP 39713 964 44 ' ' '' 39713 964 45 a a DT 39713 964 46 group group NN 39713 964 47 . . . 39713 964 48 ' ' '' 39713 965 1 THE the DT 39713 965 2 NON NON NNP 39713 965 3 - - HYPH 39713 965 4 EUCLIDEAN EUCLIDEAN NNP 39713 965 5 WORLD.--If WORLD.--If NNP 39713 965 6 geometric geometric JJ 39713 965 7 space space NN 39713 965 8 were be VBD 39713 965 9 a a DT 39713 965 10 frame frame NN 39713 965 11 imposed impose VBN 39713 965 12 on on IN 39713 965 13 _ _ NNP 39713 965 14 each each DT 39713 965 15 _ _ NNP 39713 965 16 of of IN 39713 965 17 our -PRON- PRP$ 39713 965 18 representations representation NNS 39713 965 19 , , , 39713 965 20 considered consider VBN 39713 965 21 individually individually RB 39713 965 22 , , , 39713 965 23 it -PRON- PRP 39713 965 24 would would MD 39713 965 25 be be VB 39713 965 26 impossible impossible JJ 39713 965 27 to to TO 39713 965 28 represent represent VB 39713 965 29 to to IN 39713 965 30 ourselves -PRON- PRP 39713 965 31 an an DT 39713 965 32 image image NN 39713 965 33 stripped strip VBN 39713 965 34 of of IN 39713 965 35 this this DT 39713 965 36 frame frame NN 39713 965 37 , , , 39713 965 38 and and CC 39713 965 39 we -PRON- PRP 39713 965 40 could could MD 39713 965 41 change change VB 39713 965 42 nothing nothing NN 39713 965 43 of of IN 39713 965 44 our -PRON- PRP$ 39713 965 45 geometry geometry NN 39713 965 46 . . . 39713 966 1 But but CC 39713 966 2 this this DT 39713 966 3 is be VBZ 39713 966 4 not not RB 39713 966 5 the the DT 39713 966 6 case case NN 39713 966 7 ; ; : 39713 966 8 geometry geometry NN 39713 966 9 is be VBZ 39713 966 10 only only RB 39713 966 11 the the DT 39713 966 12 résumé résumé NN 39713 966 13 of of IN 39713 966 14 the the DT 39713 966 15 laws law NNS 39713 966 16 according accord VBG 39713 966 17 to to IN 39713 966 18 which which WDT 39713 966 19 these these DT 39713 966 20 images image NNS 39713 966 21 succeed succeed VBP 39713 966 22 each each DT 39713 966 23 other other JJ 39713 966 24 . . . 39713 967 1 Nothing nothing NN 39713 967 2 then then RB 39713 967 3 prevents prevent VBZ 39713 967 4 us -PRON- PRP 39713 967 5 from from IN 39713 967 6 imagining imagine VBG 39713 967 7 a a DT 39713 967 8 series series NN 39713 967 9 of of IN 39713 967 10 representations representation NNS 39713 967 11 , , , 39713 967 12 similar similar JJ 39713 967 13 in in IN 39713 967 14 all all DT 39713 967 15 points point NNS 39713 967 16 to to IN 39713 967 17 our -PRON- PRP$ 39713 967 18 ordinary ordinary JJ 39713 967 19 representations representation NNS 39713 967 20 , , , 39713 967 21 but but CC 39713 967 22 succeeding succeed VBG 39713 967 23 one one CD 39713 967 24 another another DT 39713 967 25 according accord VBG 39713 967 26 to to IN 39713 967 27 laws law NNS 39713 967 28 different different JJ 39713 967 29 from from IN 39713 967 30 those those DT 39713 967 31 to to TO 39713 967 32 which which WDT 39713 967 33 we -PRON- PRP 39713 967 34 are be VBP 39713 967 35 accustomed accustomed JJ 39713 967 36 . . . 39713 968 1 We -PRON- PRP 39713 968 2 can can MD 39713 968 3 conceive conceive VB 39713 968 4 then then RB 39713 968 5 that that IN 39713 968 6 beings being NNS 39713 968 7 who who WP 39713 968 8 received receive VBD 39713 968 9 their -PRON- PRP$ 39713 968 10 education education NN 39713 968 11 in in IN 39713 968 12 an an DT 39713 968 13 environment environment NN 39713 968 14 where where WRB 39713 968 15 these these DT 39713 968 16 laws law NNS 39713 968 17 were be VBD 39713 968 18 thus thus RB 39713 968 19 upset upset JJ 39713 968 20 might may MD 39713 968 21 have have VB 39713 968 22 a a DT 39713 968 23 geometry geometry NN 39713 968 24 very very RB 39713 968 25 different different JJ 39713 968 26 from from IN 39713 968 27 ours -PRON- PRP 39713 968 28 . . . 39713 969 1 Suppose suppose VB 39713 969 2 , , , 39713 969 3 for for IN 39713 969 4 example example NN 39713 969 5 , , , 39713 969 6 a a DT 39713 969 7 world world NN 39713 969 8 enclosed enclose VBN 39713 969 9 in in IN 39713 969 10 a a DT 39713 969 11 great great JJ 39713 969 12 sphere sphere NN 39713 969 13 and and CC 39713 969 14 subject subject JJ 39713 969 15 to to IN 39713 969 16 the the DT 39713 969 17 following following JJ 39713 969 18 laws law NNS 39713 969 19 : : : 39713 969 20 The the DT 39713 969 21 temperature temperature NN 39713 969 22 is be VBZ 39713 969 23 not not RB 39713 969 24 uniform uniform JJ 39713 969 25 ; ; : 39713 969 26 it -PRON- PRP 39713 969 27 is be VBZ 39713 969 28 greatest great JJS 39713 969 29 at at IN 39713 969 30 the the DT 39713 969 31 center center NN 39713 969 32 , , , 39713 969 33 and and CC 39713 969 34 diminishes diminishe NNS 39713 969 35 in in IN 39713 969 36 proportion proportion NN 39713 969 37 to to IN 39713 969 38 the the DT 39713 969 39 distance distance NN 39713 969 40 from from IN 39713 969 41 the the DT 39713 969 42 center center NN 39713 969 43 , , , 39713 969 44 to to TO 39713 969 45 sink sink VB 39713 969 46 to to IN 39713 969 47 absolute absolute JJ 39713 969 48 zero zero CD 39713 969 49 when when WRB 39713 969 50 the the DT 39713 969 51 sphere sphere NN 39713 969 52 is be VBZ 39713 969 53 reached reach VBN 39713 969 54 in in IN 39713 969 55 which which WDT 39713 969 56 this this DT 39713 969 57 world world NN 39713 969 58 is be VBZ 39713 969 59 enclosed enclose VBN 39713 969 60 . . . 39713 970 1 To to TO 39713 970 2 specify specify VB 39713 970 3 still still RB 39713 970 4 more more RBR 39713 970 5 precisely precisely RB 39713 970 6 the the DT 39713 970 7 law law NN 39713 970 8 in in IN 39713 970 9 accordance accordance NN 39713 970 10 with with IN 39713 970 11 which which WDT 39713 970 12 this this DT 39713 970 13 temperature temperature NN 39713 970 14 varies vary VBZ 39713 970 15 : : : 39713 970 16 Let let VB 39713 970 17 _ _ NNP 39713 970 18 R R NNP 39713 970 19 _ _ NNP 39713 970 20 be be VB 39713 970 21 the the DT 39713 970 22 radius radius NN 39713 970 23 of of IN 39713 970 24 the the DT 39713 970 25 limiting limit VBG 39713 970 26 sphere sphere NN 39713 970 27 ; ; : 39713 970 28 let let VBD 39713 970 29 _ _ NNP 39713 970 30 r r NNP 39713 970 31 _ _ NNP 39713 970 32 be be VB 39713 970 33 the the DT 39713 970 34 distance distance NN 39713 970 35 of of IN 39713 970 36 the the DT 39713 970 37 point point NN 39713 970 38 considered consider VBN 39713 970 39 from from IN 39713 970 40 the the DT 39713 970 41 center center NN 39713 970 42 of of IN 39713 970 43 this this DT 39713 970 44 sphere sphere NN 39713 970 45 . . . 39713 971 1 The the DT 39713 971 2 absolute absolute JJ 39713 971 3 temperature temperature NN 39713 971 4 shall shall MD 39713 971 5 be be VB 39713 971 6 proportional proportional JJ 39713 971 7 to to IN 39713 971 8 _ _ NNP 39713 971 9 R_^{2 r_^{2 JJ 39713 971 10 } } -RRB- 39713 971 11 - - : 39713 971 12 _ _ NNP 39713 971 13 r_^{2 r_^{2 NNP 39713 971 14 } } -RRB- 39713 971 15 . . . 39713 972 1 I -PRON- PRP 39713 972 2 shall shall MD 39713 972 3 further further RB 39713 972 4 suppose suppose VB 39713 972 5 that that IN 39713 972 6 , , , 39713 972 7 in in IN 39713 972 8 this this DT 39713 972 9 world world NN 39713 972 10 , , , 39713 972 11 all all DT 39713 972 12 bodies body NNS 39713 972 13 have have VBP 39713 972 14 the the DT 39713 972 15 same same JJ 39713 972 16 coefficient coefficient NN 39713 972 17 of of IN 39713 972 18 dilatation dilatation NN 39713 972 19 , , , 39713 972 20 so so IN 39713 972 21 that that IN 39713 972 22 the the DT 39713 972 23 length length NN 39713 972 24 of of IN 39713 972 25 any any DT 39713 972 26 rule rule NN 39713 972 27 is be VBZ 39713 972 28 proportional proportional JJ 39713 972 29 to to IN 39713 972 30 its -PRON- PRP$ 39713 972 31 absolute absolute JJ 39713 972 32 temperature temperature NN 39713 972 33 . . . 39713 973 1 Finally finally RB 39713 973 2 , , , 39713 973 3 I -PRON- PRP 39713 973 4 shall shall MD 39713 973 5 suppose suppose VB 39713 973 6 that that IN 39713 973 7 a a DT 39713 973 8 body body NN 39713 973 9 transported transport VBN 39713 973 10 from from IN 39713 973 11 one one CD 39713 973 12 point point NN 39713 973 13 to to IN 39713 973 14 another another DT 39713 973 15 of of IN 39713 973 16 different different JJ 39713 973 17 temperature temperature NN 39713 973 18 is be VBZ 39713 973 19 put put VBN 39713 973 20 immediately immediately RB 39713 973 21 into into IN 39713 973 22 thermal thermal JJ 39713 973 23 equilibrium equilibrium NN 39713 973 24 with with IN 39713 973 25 its -PRON- PRP$ 39713 973 26 new new JJ 39713 973 27 environment environment NN 39713 973 28 . . . 39713 974 1 Nothing nothing NN 39713 974 2 in in IN 39713 974 3 these these DT 39713 974 4 hypotheses hypothesis NNS 39713 974 5 is be VBZ 39713 974 6 contradictory contradictory JJ 39713 974 7 or or CC 39713 974 8 unimaginable unimaginable JJ 39713 974 9 . . . 39713 975 1 A a DT 39713 975 2 movable movable JJ 39713 975 3 object object NN 39713 975 4 will will MD 39713 975 5 then then RB 39713 975 6 become become VB 39713 975 7 smaller small JJR 39713 975 8 and and CC 39713 975 9 smaller small JJR 39713 975 10 in in IN 39713 975 11 proportion proportion NN 39713 975 12 as as IN 39713 975 13 it -PRON- PRP 39713 975 14 approaches approach VBZ 39713 975 15 the the DT 39713 975 16 limit limit NN 39713 975 17 - - HYPH 39713 975 18 sphere sphere NN 39713 975 19 . . . 39713 976 1 Note note VB 39713 976 2 first first RB 39713 976 3 that that IN 39713 976 4 , , , 39713 976 5 though though IN 39713 976 6 this this DT 39713 976 7 world world NN 39713 976 8 is be VBZ 39713 976 9 limited limit VBN 39713 976 10 from from IN 39713 976 11 the the DT 39713 976 12 point point NN 39713 976 13 of of IN 39713 976 14 view view NN 39713 976 15 of of IN 39713 976 16 our -PRON- PRP$ 39713 976 17 ordinary ordinary JJ 39713 976 18 geometry geometry NN 39713 976 19 , , , 39713 976 20 it -PRON- PRP 39713 976 21 will will MD 39713 976 22 appear appear VB 39713 976 23 infinite infinite JJ 39713 976 24 to to IN 39713 976 25 its -PRON- PRP$ 39713 976 26 inhabitants inhabitant NNS 39713 976 27 . . . 39713 977 1 In in IN 39713 977 2 fact fact NN 39713 977 3 , , , 39713 977 4 when when WRB 39713 977 5 these these DT 39713 977 6 try try VBP 39713 977 7 to to TO 39713 977 8 approach approach VB 39713 977 9 the the DT 39713 977 10 limit limit NN 39713 977 11 - - HYPH 39713 977 12 sphere sphere NN 39713 977 13 , , , 39713 977 14 they -PRON- PRP 39713 977 15 cool cool VBP 39713 977 16 off off RP 39713 977 17 and and CC 39713 977 18 become become VB 39713 977 19 smaller small JJR 39713 977 20 and and CC 39713 977 21 smaller small JJR 39713 977 22 . . . 39713 978 1 Therefore therefore RB 39713 978 2 the the DT 39713 978 3 steps step NNS 39713 978 4 they -PRON- PRP 39713 978 5 take take VBP 39713 978 6 are be VBP 39713 978 7 also also RB 39713 978 8 smaller small JJR 39713 978 9 and and CC 39713 978 10 smaller small JJR 39713 978 11 , , , 39713 978 12 so so IN 39713 978 13 that that IN 39713 978 14 they -PRON- PRP 39713 978 15 can can MD 39713 978 16 never never RB 39713 978 17 reach reach VB 39713 978 18 the the DT 39713 978 19 limiting limit VBG 39713 978 20 sphere sphere NN 39713 978 21 . . . 39713 979 1 If if IN 39713 979 2 , , , 39713 979 3 for for IN 39713 979 4 us -PRON- PRP 39713 979 5 , , , 39713 979 6 geometry geometry NN 39713 979 7 is be VBZ 39713 979 8 only only RB 39713 979 9 the the DT 39713 979 10 study study NN 39713 979 11 of of IN 39713 979 12 the the DT 39713 979 13 laws law NNS 39713 979 14 according accord VBG 39713 979 15 to to IN 39713 979 16 which which WDT 39713 979 17 rigid rigid JJ 39713 979 18 solids solid NNS 39713 979 19 move move VBP 39713 979 20 , , , 39713 979 21 for for IN 39713 979 22 these these DT 39713 979 23 imaginary imaginary JJ 39713 979 24 beings being NNS 39713 979 25 it -PRON- PRP 39713 979 26 will will MD 39713 979 27 be be VB 39713 979 28 the the DT 39713 979 29 study study NN 39713 979 30 of of IN 39713 979 31 the the DT 39713 979 32 laws law NNS 39713 979 33 of of IN 39713 979 34 motion motion NN 39713 979 35 of of IN 39713 979 36 solids solid NNS 39713 979 37 _ _ NNP 39713 979 38 distorted distort VBN 39713 979 39 by by IN 39713 979 40 the the DT 39713 979 41 differences difference NNS 39713 979 42 of of IN 39713 979 43 temperature temperature NN 39713 979 44 _ _ NNP 39713 979 45 just just RB 39713 979 46 spoken speak VBN 39713 979 47 of of IN 39713 979 48 . . . 39713 980 1 No no RB 39713 980 2 doubt doubt RB 39713 980 3 , , , 39713 980 4 in in IN 39713 980 5 our -PRON- PRP$ 39713 980 6 world world NN 39713 980 7 , , , 39713 980 8 natural natural JJ 39713 980 9 solids solid NNS 39713 980 10 likewise likewise RB 39713 980 11 undergo undergo VBP 39713 980 12 variations variation NNS 39713 980 13 of of IN 39713 980 14 form form NN 39713 980 15 and and CC 39713 980 16 volume volume NN 39713 980 17 due due IN 39713 980 18 to to IN 39713 980 19 warming warm VBG 39713 980 20 or or CC 39713 980 21 cooling cool VBG 39713 980 22 . . . 39713 981 1 But but CC 39713 981 2 we -PRON- PRP 39713 981 3 neglect neglect VBP 39713 981 4 these these DT 39713 981 5 variations variation NNS 39713 981 6 in in IN 39713 981 7 laying lay VBG 39713 981 8 the the DT 39713 981 9 foundations foundation NNS 39713 981 10 of of IN 39713 981 11 geometry geometry NN 39713 981 12 , , , 39713 981 13 because because IN 39713 981 14 , , , 39713 981 15 besides besides IN 39713 981 16 their -PRON- PRP$ 39713 981 17 being be VBG 39713 981 18 very very RB 39713 981 19 slight slight JJ 39713 981 20 , , , 39713 981 21 they -PRON- PRP 39713 981 22 are be VBP 39713 981 23 irregular irregular JJ 39713 981 24 and and CC 39713 981 25 consequently consequently RB 39713 981 26 seem seem VB 39713 981 27 to to IN 39713 981 28 us -PRON- PRP 39713 981 29 accidental accidental RB 39713 981 30 . . . 39713 982 1 In in IN 39713 982 2 our -PRON- PRP$ 39713 982 3 hypothetical hypothetical JJ 39713 982 4 world world NN 39713 982 5 , , , 39713 982 6 this this DT 39713 982 7 would would MD 39713 982 8 no no RB 39713 982 9 longer longer RB 39713 982 10 be be VB 39713 982 11 the the DT 39713 982 12 case case NN 39713 982 13 , , , 39713 982 14 and and CC 39713 982 15 these these DT 39713 982 16 variations variation NNS 39713 982 17 would would MD 39713 982 18 follow follow VB 39713 982 19 regular regular JJ 39713 982 20 and and CC 39713 982 21 very very RB 39713 982 22 simple simple JJ 39713 982 23 laws law NNS 39713 982 24 . . . 39713 983 1 Moreover moreover RB 39713 983 2 , , , 39713 983 3 the the DT 39713 983 4 various various JJ 39713 983 5 solid solid JJ 39713 983 6 pieces piece NNS 39713 983 7 of of IN 39713 983 8 which which WDT 39713 983 9 the the DT 39713 983 10 bodies body NNS 39713 983 11 of of IN 39713 983 12 its -PRON- PRP$ 39713 983 13 inhabitants inhabitant NNS 39713 983 14 would would MD 39713 983 15 be be VB 39713 983 16 composed compose VBN 39713 983 17 would would MD 39713 983 18 undergo undergo VB 39713 983 19 the the DT 39713 983 20 same same JJ 39713 983 21 variations variation NNS 39713 983 22 of of IN 39713 983 23 form form NN 39713 983 24 and and CC 39713 983 25 volume volume NN 39713 983 26 . . . 39713 984 1 I -PRON- PRP 39713 984 2 will will MD 39713 984 3 make make VB 39713 984 4 still still RB 39713 984 5 another another DT 39713 984 6 hypothesis hypothesis NN 39713 984 7 ; ; : 39713 984 8 I -PRON- PRP 39713 984 9 will will MD 39713 984 10 suppose suppose VB 39713 984 11 light light JJ 39713 984 12 traverses traverse NNS 39713 984 13 media medium NNS 39713 984 14 diversely diversely RB 39713 984 15 refractive refractive JJ 39713 984 16 and and CC 39713 984 17 such such JJ 39713 984 18 that that IN 39713 984 19 the the DT 39713 984 20 index index NN 39713 984 21 of of IN 39713 984 22 refraction refraction NN 39713 984 23 is be VBZ 39713 984 24 inversely inversely RB 39713 984 25 proportional proportional JJ 39713 984 26 to to IN 39713 984 27 _ _ NNP 39713 984 28 R_^{2 r_^{2 JJ 39713 984 29 } } -RRB- 39713 984 30 - - : 39713 984 31 _ _ NNP 39713 984 32 r_^{2 r_^{2 NNP 39713 984 33 } } -RRB- 39713 984 34 . . . 39713 985 1 It -PRON- PRP 39713 985 2 is be VBZ 39713 985 3 easy easy JJ 39713 985 4 to to TO 39713 985 5 see see VB 39713 985 6 that that IN 39713 985 7 , , , 39713 985 8 under under IN 39713 985 9 these these DT 39713 985 10 conditions condition NNS 39713 985 11 , , , 39713 985 12 the the DT 39713 985 13 rays ray NNS 39713 985 14 of of IN 39713 985 15 light light NN 39713 985 16 would would MD 39713 985 17 not not RB 39713 985 18 be be VB 39713 985 19 rectilinear rectilinear JJ 39713 985 20 , , , 39713 985 21 but but CC 39713 985 22 circular circular JJ 39713 985 23 . . . 39713 986 1 To to TO 39713 986 2 justify justify VB 39713 986 3 what what WDT 39713 986 4 precedes precede NNS 39713 986 5 , , , 39713 986 6 it -PRON- PRP 39713 986 7 remains remain VBZ 39713 986 8 for for IN 39713 986 9 me -PRON- PRP 39713 986 10 to to TO 39713 986 11 show show VB 39713 986 12 that that IN 39713 986 13 certain certain JJ 39713 986 14 changes change NNS 39713 986 15 in in IN 39713 986 16 the the DT 39713 986 17 position position NN 39713 986 18 of of IN 39713 986 19 external external JJ 39713 986 20 objects object NNS 39713 986 21 can can MD 39713 986 22 be be VB 39713 986 23 _ _ NNP 39713 986 24 corrected correct VBN 39713 986 25 _ _ NNP 39713 986 26 by by IN 39713 986 27 correlative correlative JJ 39713 986 28 movements movement NNS 39713 986 29 of of IN 39713 986 30 the the DT 39713 986 31 sentient sentient NN 39713 986 32 beings being NNS 39713 986 33 inhabiting inhabit VBG 39713 986 34 this this DT 39713 986 35 imaginary imaginary JJ 39713 986 36 world world NN 39713 986 37 , , , 39713 986 38 and and CC 39713 986 39 that that IN 39713 986 40 in in IN 39713 986 41 such such PDT 39713 986 42 a a DT 39713 986 43 way way NN 39713 986 44 as as IN 39713 986 45 to to TO 39713 986 46 restore restore VB 39713 986 47 the the DT 39713 986 48 primitive primitive JJ 39713 986 49 aggregate aggregate NN 39713 986 50 of of IN 39713 986 51 impressions impression NNS 39713 986 52 experienced experience VBN 39713 986 53 by by IN 39713 986 54 these these DT 39713 986 55 sentient sentient JJ 39713 986 56 beings being NNS 39713 986 57 . . . 39713 987 1 Suppose suppose VB 39713 987 2 in in IN 39713 987 3 fact fact NN 39713 987 4 that that IN 39713 987 5 an an DT 39713 987 6 object object NN 39713 987 7 is be VBZ 39713 987 8 displaced displace VBN 39713 987 9 , , , 39713 987 10 undergoing undergo VBG 39713 987 11 deformation deformation NN 39713 987 12 , , , 39713 987 13 not not RB 39713 987 14 as as IN 39713 987 15 a a DT 39713 987 16 rigid rigid JJ 39713 987 17 solid solid NN 39713 987 18 , , , 39713 987 19 but but CC 39713 987 20 as as IN 39713 987 21 a a DT 39713 987 22 solid solid JJ 39713 987 23 subjected subject VBN 39713 987 24 to to IN 39713 987 25 unequal unequal JJ 39713 987 26 dilatations dilatation NNS 39713 987 27 in in IN 39713 987 28 exact exact JJ 39713 987 29 conformity conformity NN 39713 987 30 to to IN 39713 987 31 the the DT 39713 987 32 law law NN 39713 987 33 of of IN 39713 987 34 temperature temperature NN 39713 987 35 above above IN 39713 987 36 supposed suppose VBN 39713 987 37 . . . 39713 988 1 Permit permit VB 39713 988 2 me -PRON- PRP 39713 988 3 for for IN 39713 988 4 brevity brevity NN 39713 988 5 to to TO 39713 988 6 call call VB 39713 988 7 such such PDT 39713 988 8 a a DT 39713 988 9 movement movement NN 39713 988 10 a a DT 39713 988 11 _ _ NNP 39713 988 12 non non JJ 39713 988 13 - - JJ 39713 988 14 Euclidean euclidean JJ 39713 988 15 displacement displacement NN 39713 988 16 _ _ NNP 39713 988 17 . . . 39713 989 1 If if IN 39713 989 2 a a DT 39713 989 3 sentient sentient NN 39713 989 4 being be VBG 39713 989 5 happens happen VBZ 39713 989 6 to to TO 39713 989 7 be be VB 39713 989 8 in in IN 39713 989 9 the the DT 39713 989 10 neighborhood neighborhood NN 39713 989 11 , , , 39713 989 12 his -PRON- PRP$ 39713 989 13 impressions impression NNS 39713 989 14 will will MD 39713 989 15 be be VB 39713 989 16 modified modify VBN 39713 989 17 by by IN 39713 989 18 the the DT 39713 989 19 displacement displacement NN 39713 989 20 of of IN 39713 989 21 the the DT 39713 989 22 object object NN 39713 989 23 , , , 39713 989 24 but but CC 39713 989 25 he -PRON- PRP 39713 989 26 can can MD 39713 989 27 reestablish reestablish VB 39713 989 28 them -PRON- PRP 39713 989 29 by by IN 39713 989 30 moving move VBG 39713 989 31 in in IN 39713 989 32 a a DT 39713 989 33 suitable suitable JJ 39713 989 34 manner manner NN 39713 989 35 . . . 39713 990 1 It -PRON- PRP 39713 990 2 suffices suffice VBZ 39713 990 3 if if IN 39713 990 4 finally finally RB 39713 990 5 the the DT 39713 990 6 aggregate aggregate NN 39713 990 7 of of IN 39713 990 8 the the DT 39713 990 9 object object NN 39713 990 10 and and CC 39713 990 11 the the DT 39713 990 12 sentient sentient NN 39713 990 13 being be VBG 39713 990 14 , , , 39713 990 15 considered consider VBN 39713 990 16 as as IN 39713 990 17 forming form VBG 39713 990 18 a a DT 39713 990 19 single single JJ 39713 990 20 body body NN 39713 990 21 , , , 39713 990 22 has have VBZ 39713 990 23 undergone undergo VBN 39713 990 24 one one CD 39713 990 25 of of IN 39713 990 26 those those DT 39713 990 27 particular particular JJ 39713 990 28 displacements displacement NNS 39713 990 29 I -PRON- PRP 39713 990 30 have have VBP 39713 990 31 just just RB 39713 990 32 called call VBN 39713 990 33 non non JJ 39713 990 34 - - JJ 39713 990 35 Euclidean euclidean JJ 39713 990 36 . . . 39713 991 1 This this DT 39713 991 2 is be VBZ 39713 991 3 possible possible JJ 39713 991 4 if if IN 39713 991 5 it -PRON- PRP 39713 991 6 be be VB 39713 991 7 supposed suppose VBN 39713 991 8 that that IN 39713 991 9 the the DT 39713 991 10 limbs limb NNS 39713 991 11 of of IN 39713 991 12 these these DT 39713 991 13 beings being NNS 39713 991 14 dilate dilate VBP 39713 991 15 according accord VBG 39713 991 16 to to IN 39713 991 17 the the DT 39713 991 18 same same JJ 39713 991 19 law law NN 39713 991 20 as as IN 39713 991 21 the the DT 39713 991 22 other other JJ 39713 991 23 bodies body NNS 39713 991 24 of of IN 39713 991 25 the the DT 39713 991 26 world world NN 39713 991 27 they -PRON- PRP 39713 991 28 inhabit inhabit VBP 39713 991 29 . . . 39713 992 1 Although although IN 39713 992 2 from from IN 39713 992 3 the the DT 39713 992 4 point point NN 39713 992 5 of of IN 39713 992 6 view view NN 39713 992 7 of of IN 39713 992 8 our -PRON- PRP$ 39713 992 9 ordinary ordinary JJ 39713 992 10 geometry geometry NN 39713 992 11 there there EX 39713 992 12 is be VBZ 39713 992 13 a a DT 39713 992 14 deformation deformation NN 39713 992 15 of of IN 39713 992 16 the the DT 39713 992 17 bodies body NNS 39713 992 18 in in IN 39713 992 19 this this DT 39713 992 20 displacement displacement NN 39713 992 21 and and CC 39713 992 22 their -PRON- PRP$ 39713 992 23 various various JJ 39713 992 24 parts part NNS 39713 992 25 are be VBP 39713 992 26 no no RB 39713 992 27 longer long RBR 39713 992 28 in in IN 39713 992 29 the the DT 39713 992 30 same same JJ 39713 992 31 relative relative JJ 39713 992 32 position position NN 39713 992 33 , , , 39713 992 34 nevertheless nevertheless RB 39713 992 35 we -PRON- PRP 39713 992 36 shall shall MD 39713 992 37 see see VB 39713 992 38 that that IN 39713 992 39 the the DT 39713 992 40 impressions impression NNS 39713 992 41 of of IN 39713 992 42 the the DT 39713 992 43 sentient sentient NN 39713 992 44 being be VBG 39713 992 45 have have VBP 39713 992 46 once once RB 39713 992 47 more more RBR 39713 992 48 become become VBN 39713 992 49 the the DT 39713 992 50 same same JJ 39713 992 51 . . . 39713 993 1 In in IN 39713 993 2 fact fact NN 39713 993 3 , , , 39713 993 4 though though IN 39713 993 5 the the DT 39713 993 6 mutual mutual JJ 39713 993 7 distances distance NNS 39713 993 8 of of IN 39713 993 9 the the DT 39713 993 10 various various JJ 39713 993 11 parts part NNS 39713 993 12 may may MD 39713 993 13 have have VB 39713 993 14 varied vary VBN 39713 993 15 , , , 39713 993 16 yet yet CC 39713 993 17 the the DT 39713 993 18 parts part NNS 39713 993 19 originally originally RB 39713 993 20 in in IN 39713 993 21 contact contact NN 39713 993 22 are be VBP 39713 993 23 again again RB 39713 993 24 in in IN 39713 993 25 contact contact NN 39713 993 26 . . . 39713 994 1 Therefore therefore RB 39713 994 2 the the DT 39713 994 3 tactile tactile NN 39713 994 4 impressions impression NNS 39713 994 5 have have VBP 39713 994 6 not not RB 39713 994 7 changed change VBN 39713 994 8 . . . 39713 995 1 On on IN 39713 995 2 the the DT 39713 995 3 other other JJ 39713 995 4 hand hand NN 39713 995 5 , , , 39713 995 6 taking take VBG 39713 995 7 into into IN 39713 995 8 account account NN 39713 995 9 the the DT 39713 995 10 hypothesis hypothesis NN 39713 995 11 made make VBN 39713 995 12 above above RB 39713 995 13 in in IN 39713 995 14 regard regard NN 39713 995 15 to to IN 39713 995 16 the the DT 39713 995 17 refraction refraction NN 39713 995 18 and and CC 39713 995 19 the the DT 39713 995 20 curvature curvature NN 39713 995 21 of of IN 39713 995 22 the the DT 39713 995 23 rays ray NNS 39713 995 24 of of IN 39713 995 25 light light NN 39713 995 26 , , , 39713 995 27 the the DT 39713 995 28 visual visual JJ 39713 995 29 impressions impression NNS 39713 995 30 will will MD 39713 995 31 also also RB 39713 995 32 have have VB 39713 995 33 remained remain VBN 39713 995 34 the the DT 39713 995 35 same same JJ 39713 995 36 . . . 39713 996 1 These these DT 39713 996 2 imaginary imaginary JJ 39713 996 3 beings being NNS 39713 996 4 will will MD 39713 996 5 therefore therefore RB 39713 996 6 like like VB 39713 996 7 ourselves -PRON- PRP 39713 996 8 be be VB 39713 996 9 led lead VBN 39713 996 10 to to TO 39713 996 11 classify classify VB 39713 996 12 the the DT 39713 996 13 phenomena phenomenon NNS 39713 996 14 they -PRON- PRP 39713 996 15 witness witness VBP 39713 996 16 and and CC 39713 996 17 to to TO 39713 996 18 distinguish distinguish VB 39713 996 19 among among IN 39713 996 20 them -PRON- PRP 39713 996 21 the the DT 39713 996 22 ' ' `` 39713 996 23 changes change NNS 39713 996 24 of of IN 39713 996 25 position position NN 39713 996 26 ' ' `` 39713 996 27 susceptible susceptible JJ 39713 996 28 of of IN 39713 996 29 correction correction NN 39713 996 30 by by IN 39713 996 31 a a DT 39713 996 32 correlative correlative JJ 39713 996 33 voluntary voluntary JJ 39713 996 34 movement movement NN 39713 996 35 . . . 39713 997 1 If if IN 39713 997 2 they -PRON- PRP 39713 997 3 construct construct VBP 39713 997 4 a a DT 39713 997 5 geometry geometry NN 39713 997 6 , , , 39713 997 7 it -PRON- PRP 39713 997 8 will will MD 39713 997 9 not not RB 39713 997 10 be be VB 39713 997 11 , , , 39713 997 12 as as IN 39713 997 13 ours ours JJ 39713 997 14 is be VBZ 39713 997 15 , , , 39713 997 16 the the DT 39713 997 17 study study NN 39713 997 18 of of IN 39713 997 19 the the DT 39713 997 20 movements movement NNS 39713 997 21 of of IN 39713 997 22 our -PRON- PRP$ 39713 997 23 rigid rigid JJ 39713 997 24 solids solid NNS 39713 997 25 ; ; : 39713 997 26 it -PRON- PRP 39713 997 27 will will MD 39713 997 28 be be VB 39713 997 29 the the DT 39713 997 30 study study NN 39713 997 31 of of IN 39713 997 32 the the DT 39713 997 33 changes change NNS 39713 997 34 of of IN 39713 997 35 position position NN 39713 997 36 which which WDT 39713 997 37 they -PRON- PRP 39713 997 38 will will MD 39713 997 39 thus thus RB 39713 997 40 have have VB 39713 997 41 distinguished distinguish VBN 39713 997 42 and and CC 39713 997 43 which which WDT 39713 997 44 are be VBP 39713 997 45 none none NN 39713 997 46 other other JJ 39713 997 47 than than IN 39713 997 48 the the DT 39713 997 49 ' ' `` 39713 997 50 non non JJ 39713 997 51 - - JJ 39713 997 52 Euclidean euclidean JJ 39713 997 53 displacements displacement NNS 39713 997 54 ' ' '' 39713 997 55 ; ; : 39713 997 56 _ _ NNP 39713 997 57 it -PRON- PRP 39713 997 58 will will MD 39713 997 59 be be VB 39713 997 60 non non JJ 39713 997 61 - - JJ 39713 997 62 Euclidean euclidean JJ 39713 997 63 geometry geometry NN 39713 997 64 _ _ NNP 39713 997 65 . . . 39713 998 1 Thus thus RB 39713 998 2 beings being NNS 39713 998 3 like like IN 39713 998 4 ourselves -PRON- PRP 39713 998 5 , , , 39713 998 6 educated educate VBN 39713 998 7 in in IN 39713 998 8 such such PDT 39713 998 9 a a DT 39713 998 10 world world NN 39713 998 11 , , , 39713 998 12 would would MD 39713 998 13 not not RB 39713 998 14 have have VB 39713 998 15 the the DT 39713 998 16 same same JJ 39713 998 17 geometry geometry NN 39713 998 18 as as IN 39713 998 19 ours -PRON- PRP 39713 998 20 . . . 39713 999 1 THE the DT 39713 999 2 WORLD WORLD NNP 39713 999 3 OF of IN 39713 999 4 FOUR four CD 39713 999 5 DIMENSIONS.--We DIMENSIONS.--We NNP 39713 999 6 can can MD 39713 999 7 represent represent VB 39713 999 8 to to IN 39713 999 9 ourselves -PRON- PRP 39713 999 10 a a DT 39713 999 11 four four CD 39713 999 12 - - HYPH 39713 999 13 dimensional dimensional JJ 39713 999 14 world world NN 39713 999 15 just just RB 39713 999 16 as as RB 39713 999 17 well well RB 39713 999 18 as as IN 39713 999 19 a a DT 39713 999 20 non non JJ 39713 999 21 - - JJ 39713 999 22 Euclidean euclidean JJ 39713 999 23 . . . 39713 1000 1 The the DT 39713 1000 2 sense sense NN 39713 1000 3 of of IN 39713 1000 4 sight sight NN 39713 1000 5 , , , 39713 1000 6 even even RB 39713 1000 7 with with IN 39713 1000 8 a a DT 39713 1000 9 single single JJ 39713 1000 10 eye eye NN 39713 1000 11 , , , 39713 1000 12 together together RB 39713 1000 13 with with IN 39713 1000 14 the the DT 39713 1000 15 muscular muscular JJ 39713 1000 16 sensations sensation NNS 39713 1000 17 relative relative JJ 39713 1000 18 to to IN 39713 1000 19 the the DT 39713 1000 20 movements movement NNS 39713 1000 21 of of IN 39713 1000 22 the the DT 39713 1000 23 eyeball eyeball NN 39713 1000 24 , , , 39713 1000 25 would would MD 39713 1000 26 suffice suffice VB 39713 1000 27 to to TO 39713 1000 28 teach teach VB 39713 1000 29 us us NNP 39713 1000 30 space space NN 39713 1000 31 of of IN 39713 1000 32 three three CD 39713 1000 33 dimensions dimension NNS 39713 1000 34 . . . 39713 1001 1 The the DT 39713 1001 2 images image NNS 39713 1001 3 of of IN 39713 1001 4 external external JJ 39713 1001 5 objects object NNS 39713 1001 6 are be VBP 39713 1001 7 painted paint VBN 39713 1001 8 on on IN 39713 1001 9 the the DT 39713 1001 10 retina retina NNP 39713 1001 11 , , , 39713 1001 12 which which WDT 39713 1001 13 is be VBZ 39713 1001 14 a a DT 39713 1001 15 two two CD 39713 1001 16 - - HYPH 39713 1001 17 dimensional dimensional JJ 39713 1001 18 canvas canvas NN 39713 1001 19 ; ; : 39713 1001 20 they -PRON- PRP 39713 1001 21 are be VBP 39713 1001 22 _ _ NNP 39713 1001 23 perspectives perspective VBZ 39713 1001 24 _ _ NNP 39713 1001 25 . . . 39713 1002 1 But but CC 39713 1002 2 , , , 39713 1002 3 as as IN 39713 1002 4 eye eye NN 39713 1002 5 and and CC 39713 1002 6 objects object NNS 39713 1002 7 are be VBP 39713 1002 8 movable movable JJ 39713 1002 9 , , , 39713 1002 10 we -PRON- PRP 39713 1002 11 see see VBP 39713 1002 12 in in IN 39713 1002 13 succession succession NN 39713 1002 14 various various JJ 39713 1002 15 perspectives perspective NNS 39713 1002 16 of of IN 39713 1002 17 the the DT 39713 1002 18 same same JJ 39713 1002 19 body body NN 39713 1002 20 , , , 39713 1002 21 taken take VBN 39713 1002 22 from from IN 39713 1002 23 different different JJ 39713 1002 24 points point NNS 39713 1002 25 of of IN 39713 1002 26 view view NN 39713 1002 27 . . . 39713 1003 1 At at IN 39713 1003 2 the the DT 39713 1003 3 same same JJ 39713 1003 4 time time NN 39713 1003 5 , , , 39713 1003 6 we -PRON- PRP 39713 1003 7 find find VBP 39713 1003 8 that that IN 39713 1003 9 the the DT 39713 1003 10 transition transition NN 39713 1003 11 from from IN 39713 1003 12 one one CD 39713 1003 13 perspective perspective NN 39713 1003 14 to to IN 39713 1003 15 another another DT 39713 1003 16 is be VBZ 39713 1003 17 often often RB 39713 1003 18 accompanied accompany VBN 39713 1003 19 by by IN 39713 1003 20 muscular muscular JJ 39713 1003 21 sensations sensation NNS 39713 1003 22 . . . 39713 1004 1 If if IN 39713 1004 2 the the DT 39713 1004 3 transition transition NN 39713 1004 4 from from IN 39713 1004 5 the the DT 39713 1004 6 perspective perspective NN 39713 1004 7 _ _ NNP 39713 1004 8 A A NNP 39713 1004 9 _ _ NNP 39713 1004 10 to to IN 39713 1004 11 the the DT 39713 1004 12 perspective perspective NN 39713 1004 13 _ _ NNP 39713 1004 14 B B NNP 39713 1004 15 _ _ NNP 39713 1004 16 , , , 39713 1004 17 and and CC 39713 1004 18 that that IN 39713 1004 19 from from IN 39713 1004 20 the the DT 39713 1004 21 perspective perspective NN 39713 1004 22 _ _ NNP 39713 1004 23 A A NNP 39713 1004 24 ' ' '' 39713 1004 25 _ _ NN 39713 1004 26 to to IN 39713 1004 27 the the DT 39713 1004 28 perspective perspective NN 39713 1004 29 _ _ NNP 39713 1004 30 B B NNP 39713 1004 31 ' ' '' 39713 1004 32 _ _ NNP 39713 1004 33 are be VBP 39713 1004 34 accompanied accompany VBN 39713 1004 35 by by IN 39713 1004 36 the the DT 39713 1004 37 same same JJ 39713 1004 38 muscular muscular JJ 39713 1004 39 sensations sensation NNS 39713 1004 40 , , , 39713 1004 41 we -PRON- PRP 39713 1004 42 liken liken VBD 39713 1004 43 them -PRON- PRP 39713 1004 44 one one NN 39713 1004 45 to to IN 39713 1004 46 the the DT 39713 1004 47 other other JJ 39713 1004 48 as as IN 39713 1004 49 operations operation NNS 39713 1004 50 of of IN 39713 1004 51 the the DT 39713 1004 52 same same JJ 39713 1004 53 nature nature NN 39713 1004 54 . . . 39713 1005 1 Studying study VBG 39713 1005 2 then then RB 39713 1005 3 the the DT 39713 1005 4 laws law NNS 39713 1005 5 according accord VBG 39713 1005 6 to to IN 39713 1005 7 which which WDT 39713 1005 8 these these DT 39713 1005 9 operations operation NNS 39713 1005 10 combine combine VBP 39713 1005 11 , , , 39713 1005 12 we -PRON- PRP 39713 1005 13 recognize recognize VBP 39713 1005 14 that that IN 39713 1005 15 they -PRON- PRP 39713 1005 16 form form VBP 39713 1005 17 a a DT 39713 1005 18 group group NN 39713 1005 19 , , , 39713 1005 20 which which WDT 39713 1005 21 has have VBZ 39713 1005 22 the the DT 39713 1005 23 same same JJ 39713 1005 24 structure structure NN 39713 1005 25 as as IN 39713 1005 26 that that DT 39713 1005 27 of of IN 39713 1005 28 the the DT 39713 1005 29 movements movement NNS 39713 1005 30 of of IN 39713 1005 31 rigid rigid JJ 39713 1005 32 solids solid NNS 39713 1005 33 . . . 39713 1006 1 Now now RB 39713 1006 2 , , , 39713 1006 3 we -PRON- PRP 39713 1006 4 have have VBP 39713 1006 5 seen see VBN 39713 1006 6 that that IN 39713 1006 7 it -PRON- PRP 39713 1006 8 is be VBZ 39713 1006 9 from from IN 39713 1006 10 the the DT 39713 1006 11 properties property NNS 39713 1006 12 of of IN 39713 1006 13 this this DT 39713 1006 14 group group NN 39713 1006 15 we -PRON- PRP 39713 1006 16 have have VBP 39713 1006 17 derived derive VBN 39713 1006 18 the the DT 39713 1006 19 notion notion NN 39713 1006 20 of of IN 39713 1006 21 geometric geometric JJ 39713 1006 22 space space NN 39713 1006 23 and and CC 39713 1006 24 that that IN 39713 1006 25 of of IN 39713 1006 26 three three CD 39713 1006 27 dimensions dimension NNS 39713 1006 28 . . . 39713 1007 1 We -PRON- PRP 39713 1007 2 understand understand VBP 39713 1007 3 thus thus RB 39713 1007 4 how how WRB 39713 1007 5 the the DT 39713 1007 6 idea idea NN 39713 1007 7 of of IN 39713 1007 8 a a DT 39713 1007 9 space space NN 39713 1007 10 of of IN 39713 1007 11 three three CD 39713 1007 12 dimensions dimension NNS 39713 1007 13 could could MD 39713 1007 14 take take VB 39713 1007 15 birth birth NN 39713 1007 16 from from IN 39713 1007 17 the the DT 39713 1007 18 pageant pageant NN 39713 1007 19 of of IN 39713 1007 20 these these DT 39713 1007 21 perspectives perspective NNS 39713 1007 22 , , , 39713 1007 23 though though IN 39713 1007 24 each each DT 39713 1007 25 of of IN 39713 1007 26 them -PRON- PRP 39713 1007 27 is be VBZ 39713 1007 28 of of IN 39713 1007 29 only only RB 39713 1007 30 two two CD 39713 1007 31 dimensions dimension NNS 39713 1007 32 , , , 39713 1007 33 since since IN 39713 1007 34 _ _ NNP 39713 1007 35 they -PRON- PRP 39713 1007 36 follow follow VBP 39713 1007 37 one one CD 39713 1007 38 another another DT 39713 1007 39 according accord VBG 39713 1007 40 to to IN 39713 1007 41 certain certain JJ 39713 1007 42 laws law NNS 39713 1007 43 _ _ NNP 39713 1007 44 . . . 39713 1008 1 Well well UH 39713 1008 2 , , , 39713 1008 3 just just RB 39713 1008 4 as as IN 39713 1008 5 the the DT 39713 1008 6 perspective perspective NN 39713 1008 7 of of IN 39713 1008 8 a a DT 39713 1008 9 three three CD 39713 1008 10 - - HYPH 39713 1008 11 dimensional dimensional JJ 39713 1008 12 figure figure NN 39713 1008 13 can can MD 39713 1008 14 be be VB 39713 1008 15 made make VBN 39713 1008 16 on on IN 39713 1008 17 a a DT 39713 1008 18 plane plane NN 39713 1008 19 , , , 39713 1008 20 we -PRON- PRP 39713 1008 21 can can MD 39713 1008 22 make make VB 39713 1008 23 that that DT 39713 1008 24 of of IN 39713 1008 25 a a DT 39713 1008 26 four four CD 39713 1008 27 - - HYPH 39713 1008 28 dimensional dimensional JJ 39713 1008 29 figure figure NN 39713 1008 30 on on IN 39713 1008 31 a a DT 39713 1008 32 picture picture NN 39713 1008 33 of of IN 39713 1008 34 three three CD 39713 1008 35 ( ( -LRB- 39713 1008 36 or or CC 39713 1008 37 of of IN 39713 1008 38 two two CD 39713 1008 39 ) ) -RRB- 39713 1008 40 dimensions dimension NNS 39713 1008 41 . . . 39713 1009 1 To to IN 39713 1009 2 a a DT 39713 1009 3 geometer geometer NN 39713 1009 4 this this DT 39713 1009 5 is be VBZ 39713 1009 6 only only RB 39713 1009 7 child child NN 39713 1009 8 's 's POS 39713 1009 9 play play NN 39713 1009 10 . . . 39713 1010 1 We -PRON- PRP 39713 1010 2 can can MD 39713 1010 3 even even RB 39713 1010 4 take take VB 39713 1010 5 of of IN 39713 1010 6 the the DT 39713 1010 7 same same JJ 39713 1010 8 figure figure NN 39713 1010 9 several several JJ 39713 1010 10 perspectives perspective NNS 39713 1010 11 from from IN 39713 1010 12 several several JJ 39713 1010 13 different different JJ 39713 1010 14 points point NNS 39713 1010 15 of of IN 39713 1010 16 view view NN 39713 1010 17 . . . 39713 1011 1 We -PRON- PRP 39713 1011 2 can can MD 39713 1011 3 easily easily RB 39713 1011 4 represent represent VB 39713 1011 5 to to IN 39713 1011 6 ourselves -PRON- PRP 39713 1011 7 these these DT 39713 1011 8 perspectives perspective NNS 39713 1011 9 , , , 39713 1011 10 since since IN 39713 1011 11 they -PRON- PRP 39713 1011 12 are be VBP 39713 1011 13 of of IN 39713 1011 14 only only RB 39713 1011 15 three three CD 39713 1011 16 dimensions dimension NNS 39713 1011 17 . . . 39713 1012 1 Imagine imagine VB 39713 1012 2 that that IN 39713 1012 3 the the DT 39713 1012 4 various various JJ 39713 1012 5 perspectives perspective NNS 39713 1012 6 of of IN 39713 1012 7 the the DT 39713 1012 8 same same JJ 39713 1012 9 object object NN 39713 1012 10 succeed succeed VB 39713 1012 11 one one CD 39713 1012 12 another another DT 39713 1012 13 , , , 39713 1012 14 and and CC 39713 1012 15 that that IN 39713 1012 16 the the DT 39713 1012 17 transition transition NN 39713 1012 18 from from IN 39713 1012 19 one one CD 39713 1012 20 to to IN 39713 1012 21 the the DT 39713 1012 22 other other JJ 39713 1012 23 is be VBZ 39713 1012 24 accompanied accompany VBN 39713 1012 25 by by IN 39713 1012 26 muscular muscular JJ 39713 1012 27 sensations sensation NNS 39713 1012 28 . . . 39713 1013 1 We -PRON- PRP 39713 1013 2 shall shall MD 39713 1013 3 of of IN 39713 1013 4 course course NN 39713 1013 5 consider consider VB 39713 1013 6 two two CD 39713 1013 7 of of IN 39713 1013 8 these these DT 39713 1013 9 transitions transition NNS 39713 1013 10 as as IN 39713 1013 11 two two CD 39713 1013 12 operations operation NNS 39713 1013 13 of of IN 39713 1013 14 the the DT 39713 1013 15 same same JJ 39713 1013 16 nature nature NN 39713 1013 17 when when WRB 39713 1013 18 they -PRON- PRP 39713 1013 19 are be VBP 39713 1013 20 associated associate VBN 39713 1013 21 with with IN 39713 1013 22 the the DT 39713 1013 23 same same JJ 39713 1013 24 muscular muscular JJ 39713 1013 25 sensations sensation NNS 39713 1013 26 . . . 39713 1014 1 Nothing nothing NN 39713 1014 2 then then RB 39713 1014 3 prevents prevent VBZ 39713 1014 4 us -PRON- PRP 39713 1014 5 from from IN 39713 1014 6 imagining imagine VBG 39713 1014 7 that that IN 39713 1014 8 these these DT 39713 1014 9 operations operation NNS 39713 1014 10 combine combine VBP 39713 1014 11 according accord VBG 39713 1014 12 to to IN 39713 1014 13 any any DT 39713 1014 14 law law NN 39713 1014 15 we -PRON- PRP 39713 1014 16 choose choose VBP 39713 1014 17 , , , 39713 1014 18 for for IN 39713 1014 19 example example NN 39713 1014 20 , , , 39713 1014 21 so so IN 39713 1014 22 as as IN 39713 1014 23 to to TO 39713 1014 24 form form VB 39713 1014 25 a a DT 39713 1014 26 group group NN 39713 1014 27 with with IN 39713 1014 28 the the DT 39713 1014 29 same same JJ 39713 1014 30 structure structure NN 39713 1014 31 as as IN 39713 1014 32 that that DT 39713 1014 33 of of IN 39713 1014 34 the the DT 39713 1014 35 movements movement NNS 39713 1014 36 of of IN 39713 1014 37 a a DT 39713 1014 38 rigid rigid JJ 39713 1014 39 solid solid NN 39713 1014 40 of of IN 39713 1014 41 four four CD 39713 1014 42 dimensions dimension NNS 39713 1014 43 . . . 39713 1015 1 Here here RB 39713 1015 2 there there EX 39713 1015 3 is be VBZ 39713 1015 4 nothing nothing NN 39713 1015 5 unpicturable unpicturable JJ 39713 1015 6 , , , 39713 1015 7 and and CC 39713 1015 8 yet yet RB 39713 1015 9 these these DT 39713 1015 10 sensations sensation NNS 39713 1015 11 are be VBP 39713 1015 12 precisely precisely RB 39713 1015 13 those those DT 39713 1015 14 which which WDT 39713 1015 15 would would MD 39713 1015 16 be be VB 39713 1015 17 felt feel VBN 39713 1015 18 by by IN 39713 1015 19 a a DT 39713 1015 20 being be VBG 39713 1015 21 possessed possess VBN 39713 1015 22 of of IN 39713 1015 23 a a DT 39713 1015 24 two two CD 39713 1015 25 - - HYPH 39713 1015 26 dimensional dimensional JJ 39713 1015 27 retina retina NN 39713 1015 28 who who WP 39713 1015 29 could could MD 39713 1015 30 move move VB 39713 1015 31 in in IN 39713 1015 32 space space NN 39713 1015 33 of of IN 39713 1015 34 four four CD 39713 1015 35 dimensions dimension NNS 39713 1015 36 . . . 39713 1016 1 In in IN 39713 1016 2 this this DT 39713 1016 3 sense sense NN 39713 1016 4 we -PRON- PRP 39713 1016 5 may may MD 39713 1016 6 say say VB 39713 1016 7 the the DT 39713 1016 8 fourth fourth JJ 39713 1016 9 dimension dimension NN 39713 1016 10 is be VBZ 39713 1016 11 imaginable imaginable JJ 39713 1016 12 . . . 39713 1017 1 CONCLUSIONS.--We CONCLUSIONS.--We NNP 39713 1017 2 see see VBP 39713 1017 3 that that IN 39713 1017 4 experience experience NN 39713 1017 5 plays play VBZ 39713 1017 6 an an DT 39713 1017 7 indispensable indispensable JJ 39713 1017 8 rôle rôle NN 39713 1017 9 in in IN 39713 1017 10 the the DT 39713 1017 11 genesis genesis NN 39713 1017 12 of of IN 39713 1017 13 geometry geometry NN 39713 1017 14 ; ; : 39713 1017 15 but but CC 39713 1017 16 it -PRON- PRP 39713 1017 17 would would MD 39713 1017 18 be be VB 39713 1017 19 an an DT 39713 1017 20 error error NN 39713 1017 21 thence thence NN 39713 1017 22 to to TO 39713 1017 23 conclude conclude VB 39713 1017 24 that that IN 39713 1017 25 geometry geometry NN 39713 1017 26 is be VBZ 39713 1017 27 , , , 39713 1017 28 even even RB 39713 1017 29 in in IN 39713 1017 30 part part NN 39713 1017 31 , , , 39713 1017 32 an an DT 39713 1017 33 experimental experimental JJ 39713 1017 34 science science NN 39713 1017 35 . . . 39713 1018 1 If if IN 39713 1018 2 it -PRON- PRP 39713 1018 3 were be VBD 39713 1018 4 experimental experimental JJ 39713 1018 5 , , , 39713 1018 6 it -PRON- PRP 39713 1018 7 would would MD 39713 1018 8 be be VB 39713 1018 9 only only RB 39713 1018 10 approximative approximative JJ 39713 1018 11 and and CC 39713 1018 12 provisional provisional JJ 39713 1018 13 . . . 39713 1019 1 And and CC 39713 1019 2 what what WDT 39713 1019 3 rough rough JJ 39713 1019 4 approximation approximation NN 39713 1019 5 ! ! . 39713 1020 1 Geometry geometry NN 39713 1020 2 would would MD 39713 1020 3 be be VB 39713 1020 4 only only RB 39713 1020 5 the the DT 39713 1020 6 study study NN 39713 1020 7 of of IN 39713 1020 8 the the DT 39713 1020 9 movements movement NNS 39713 1020 10 of of IN 39713 1020 11 solids solid NNS 39713 1020 12 ; ; , 39713 1020 13 but but CC 39713 1020 14 in in IN 39713 1020 15 reality reality NN 39713 1020 16 it -PRON- PRP 39713 1020 17 is be VBZ 39713 1020 18 not not RB 39713 1020 19 occupied occupy VBN 39713 1020 20 with with IN 39713 1020 21 natural natural JJ 39713 1020 22 solids solid NNS 39713 1020 23 , , , 39713 1020 24 it -PRON- PRP 39713 1020 25 has have VBZ 39713 1020 26 for for IN 39713 1020 27 object object NN 39713 1020 28 certain certain JJ 39713 1020 29 ideal ideal JJ 39713 1020 30 solids solid NNS 39713 1020 31 , , , 39713 1020 32 absolutely absolutely RB 39713 1020 33 rigid rigid JJ 39713 1020 34 , , , 39713 1020 35 which which WDT 39713 1020 36 are be VBP 39713 1020 37 only only RB 39713 1020 38 a a DT 39713 1020 39 simplified simplified JJ 39713 1020 40 and and CC 39713 1020 41 very very RB 39713 1020 42 remote remote JJ 39713 1020 43 image image NN 39713 1020 44 of of IN 39713 1020 45 natural natural JJ 39713 1020 46 solids solid NNS 39713 1020 47 . . . 39713 1021 1 The the DT 39713 1021 2 notion notion NN 39713 1021 3 of of IN 39713 1021 4 these these DT 39713 1021 5 ideal ideal JJ 39713 1021 6 solids solid NNS 39713 1021 7 is be VBZ 39713 1021 8 drawn draw VBN 39713 1021 9 from from IN 39713 1021 10 all all DT 39713 1021 11 parts part NNS 39713 1021 12 of of IN 39713 1021 13 our -PRON- PRP$ 39713 1021 14 mind mind NN 39713 1021 15 , , , 39713 1021 16 and and CC 39713 1021 17 experience experience NN 39713 1021 18 is be VBZ 39713 1021 19 only only RB 39713 1021 20 an an DT 39713 1021 21 occasion occasion NN 39713 1021 22 which which WDT 39713 1021 23 induces induce VBZ 39713 1021 24 us -PRON- PRP 39713 1021 25 to to TO 39713 1021 26 bring bring VB 39713 1021 27 it -PRON- PRP 39713 1021 28 forth forth RB 39713 1021 29 from from IN 39713 1021 30 them -PRON- PRP 39713 1021 31 . . . 39713 1022 1 The the DT 39713 1022 2 object object NN 39713 1022 3 of of IN 39713 1022 4 geometry geometry NN 39713 1022 5 is be VBZ 39713 1022 6 the the DT 39713 1022 7 study study NN 39713 1022 8 of of IN 39713 1022 9 a a DT 39713 1022 10 particular particular JJ 39713 1022 11 ' ' `` 39713 1022 12 group group NN 39713 1022 13 ' ' '' 39713 1022 14 ; ; : 39713 1022 15 but but CC 39713 1022 16 the the DT 39713 1022 17 general general JJ 39713 1022 18 group group NN 39713 1022 19 concept concept NN 39713 1022 20 pre pre VBN 39713 1022 21 - - NNS 39713 1022 22 exists exist VBZ 39713 1022 23 , , , 39713 1022 24 at at IN 39713 1022 25 least least JJS 39713 1022 26 potentially potentially RB 39713 1022 27 , , , 39713 1022 28 in in IN 39713 1022 29 our -PRON- PRP$ 39713 1022 30 minds mind NNS 39713 1022 31 . . . 39713 1023 1 It -PRON- PRP 39713 1023 2 is be VBZ 39713 1023 3 imposed impose VBN 39713 1023 4 on on IN 39713 1023 5 us -PRON- PRP 39713 1023 6 , , , 39713 1023 7 not not RB 39713 1023 8 as as IN 39713 1023 9 form form NN 39713 1023 10 of of IN 39713 1023 11 our -PRON- PRP$ 39713 1023 12 sense sense NN 39713 1023 13 , , , 39713 1023 14 but but CC 39713 1023 15 as as IN 39713 1023 16 form form NN 39713 1023 17 of of IN 39713 1023 18 our -PRON- PRP$ 39713 1023 19 understanding understanding NN 39713 1023 20 . . . 39713 1024 1 Only only RB 39713 1024 2 , , , 39713 1024 3 from from IN 39713 1024 4 among among IN 39713 1024 5 all all PDT 39713 1024 6 the the DT 39713 1024 7 possible possible JJ 39713 1024 8 groups group NNS 39713 1024 9 , , , 39713 1024 10 that that DT 39713 1024 11 must must MD 39713 1024 12 be be VB 39713 1024 13 chosen choose VBN 39713 1024 14 which which WDT 39713 1024 15 will will MD 39713 1024 16 be be VB 39713 1024 17 , , , 39713 1024 18 so so RB 39713 1024 19 to to TO 39713 1024 20 speak speak VB 39713 1024 21 , , , 39713 1024 22 the the DT 39713 1024 23 _ _ NNP 39713 1024 24 standard standard NN 39713 1024 25 _ _ NNP 39713 1024 26 to to TO 39713 1024 27 which which WDT 39713 1024 28 we -PRON- PRP 39713 1024 29 shall shall MD 39713 1024 30 refer refer VB 39713 1024 31 natural natural JJ 39713 1024 32 phenomena phenomenon NNS 39713 1024 33 . . . 39713 1025 1 Experience experience NN 39713 1025 2 guides guide VBZ 39713 1025 3 us -PRON- PRP 39713 1025 4 in in IN 39713 1025 5 this this DT 39713 1025 6 choice choice NN 39713 1025 7 without without IN 39713 1025 8 forcing force VBG 39713 1025 9 it -PRON- PRP 39713 1025 10 upon upon IN 39713 1025 11 us -PRON- PRP 39713 1025 12 ; ; : 39713 1025 13 it -PRON- PRP 39713 1025 14 tells tell VBZ 39713 1025 15 us -PRON- PRP 39713 1025 16 not not RB 39713 1025 17 which which WDT 39713 1025 18 is be VBZ 39713 1025 19 the the DT 39713 1025 20 truest true JJS 39713 1025 21 geometry geometry NN 39713 1025 22 , , , 39713 1025 23 but but CC 39713 1025 24 which which WDT 39713 1025 25 is be VBZ 39713 1025 26 the the DT 39713 1025 27 most most JJS 39713 1025 28 _ _ NNP 39713 1025 29 convenient convenient JJ 39713 1025 30 _ _ NNP 39713 1025 31 . . . 39713 1026 1 Notice notice VB 39713 1026 2 that that IN 39713 1026 3 I -PRON- PRP 39713 1026 4 have have VBP 39713 1026 5 been be VBN 39713 1026 6 able able JJ 39713 1026 7 to to TO 39713 1026 8 describe describe VB 39713 1026 9 the the DT 39713 1026 10 fantastic fantastic JJ 39713 1026 11 worlds world NNS 39713 1026 12 above above IN 39713 1026 13 imagined imagine VBD 39713 1026 14 _ _ NNP 39713 1026 15 without without IN 39713 1026 16 ceasing cease VBG 39713 1026 17 to to TO 39713 1026 18 employ employ VB 39713 1026 19 the the DT 39713 1026 20 language language NN 39713 1026 21 of of IN 39713 1026 22 ordinary ordinary JJ 39713 1026 23 geometry geometry NN 39713 1026 24 _ _ NNP 39713 1026 25 . . . 39713 1027 1 And and CC 39713 1027 2 , , , 39713 1027 3 in in IN 39713 1027 4 fact fact NN 39713 1027 5 , , , 39713 1027 6 we -PRON- PRP 39713 1027 7 should should MD 39713 1027 8 not not RB 39713 1027 9 have have VB 39713 1027 10 to to TO 39713 1027 11 change change VB 39713 1027 12 it -PRON- PRP 39713 1027 13 if if IN 39713 1027 14 transported transport VBN 39713 1027 15 thither thither NN 39713 1027 16 . . . 39713 1028 1 Beings being NNS 39713 1028 2 educated educate VBN 39713 1028 3 there there EX 39713 1028 4 would would MD 39713 1028 5 doubtless doubtless RB 39713 1028 6 find find VB 39713 1028 7 it -PRON- PRP 39713 1028 8 more more RBR 39713 1028 9 convenient convenient JJ 39713 1028 10 to to TO 39713 1028 11 create create VB 39713 1028 12 a a DT 39713 1028 13 geometry geometry NN 39713 1028 14 different different JJ 39713 1028 15 from from IN 39713 1028 16 ours -PRON- PRP 39713 1028 17 , , , 39713 1028 18 and and CC 39713 1028 19 better well RBR 39713 1028 20 adapted adapt VBN 39713 1028 21 to to IN 39713 1028 22 their -PRON- PRP$ 39713 1028 23 impressions impression NNS 39713 1028 24 . . . 39713 1029 1 As as IN 39713 1029 2 for for IN 39713 1029 3 us -PRON- PRP 39713 1029 4 , , , 39713 1029 5 in in IN 39713 1029 6 face face NN 39713 1029 7 of of IN 39713 1029 8 the the DT 39713 1029 9 _ _ NNP 39713 1029 10 same same JJ 39713 1029 11 _ _ NNP 39713 1029 12 impressions impression NNS 39713 1029 13 , , , 39713 1029 14 it -PRON- PRP 39713 1029 15 is be VBZ 39713 1029 16 certain certain JJ 39713 1029 17 we -PRON- PRP 39713 1029 18 should should MD 39713 1029 19 find find VB 39713 1029 20 it -PRON- PRP 39713 1029 21 more more RBR 39713 1029 22 convenient convenient JJ 39713 1029 23 not not RB 39713 1029 24 to to TO 39713 1029 25 change change VB 39713 1029 26 our -PRON- PRP$ 39713 1029 27 habits habit NNS 39713 1029 28 . . . 39713 1030 1 CHAPTER chapter NN 39713 1030 2 V V NNP 39713 1030 3 EXPERIENCE EXPERIENCE NNP 39713 1030 4 AND and CC 39713 1030 5 GEOMETRY GEOMETRY NNP 39713 1030 6 1 1 CD 39713 1030 7 . . . 39713 1031 1 Already already RB 39713 1031 2 in in IN 39713 1031 3 the the DT 39713 1031 4 preceding precede VBG 39713 1031 5 pages page NNS 39713 1031 6 I -PRON- PRP 39713 1031 7 have have VBP 39713 1031 8 several several JJ 39713 1031 9 times time NNS 39713 1031 10 tried try VBD 39713 1031 11 to to TO 39713 1031 12 show show VB 39713 1031 13 that that IN 39713 1031 14 the the DT 39713 1031 15 principles principle NNS 39713 1031 16 of of IN 39713 1031 17 geometry geometry NN 39713 1031 18 are be VBP 39713 1031 19 not not RB 39713 1031 20 experimental experimental JJ 39713 1031 21 facts fact NNS 39713 1031 22 and and CC 39713 1031 23 that that IN 39713 1031 24 in in IN 39713 1031 25 particular particular JJ 39713 1031 26 Euclid Euclid NNP 39713 1031 27 's 's POS 39713 1031 28 postulate postulate NN 39713 1031 29 can can MD 39713 1031 30 not not RB 39713 1031 31 be be VB 39713 1031 32 proven prove VBN 39713 1031 33 experimentally experimentally RB 39713 1031 34 . . . 39713 1032 1 However however WRB 39713 1032 2 decisive decisive JJ 39713 1032 3 appear appear VBP 39713 1032 4 to to IN 39713 1032 5 me -PRON- PRP 39713 1032 6 the the DT 39713 1032 7 reasons reason NNS 39713 1032 8 already already RB 39713 1032 9 given give VBN 39713 1032 10 , , , 39713 1032 11 I -PRON- PRP 39713 1032 12 believe believe VBP 39713 1032 13 I -PRON- PRP 39713 1032 14 should should MD 39713 1032 15 emphasize emphasize VB 39713 1032 16 this this DT 39713 1032 17 point point NN 39713 1032 18 because because IN 39713 1032 19 here here RB 39713 1032 20 a a DT 39713 1032 21 false false JJ 39713 1032 22 idea idea NN 39713 1032 23 is be VBZ 39713 1032 24 profoundly profoundly RB 39713 1032 25 rooted rooted JJ 39713 1032 26 in in IN 39713 1032 27 many many JJ 39713 1032 28 minds mind NNS 39713 1032 29 . . . 39713 1033 1 2 2 LS 39713 1033 2 . . . 39713 1034 1 If if IN 39713 1034 2 we -PRON- PRP 39713 1034 3 construct construct VBP 39713 1034 4 a a DT 39713 1034 5 material material NN 39713 1034 6 circle circle NN 39713 1034 7 , , , 39713 1034 8 measure measure VB 39713 1034 9 its -PRON- PRP$ 39713 1034 10 radius radius NN 39713 1034 11 and and CC 39713 1034 12 circumference circumference NN 39713 1034 13 , , , 39713 1034 14 and and CC 39713 1034 15 see see VB 39713 1034 16 if if IN 39713 1034 17 the the DT 39713 1034 18 ratio ratio NN 39713 1034 19 of of IN 39713 1034 20 these these DT 39713 1034 21 two two CD 39713 1034 22 lengths length NNS 39713 1034 23 is be VBZ 39713 1034 24 equal equal JJ 39713 1034 25 to to IN 39713 1034 26 [ [ -LRB- 39713 1034 27 pi pi NN 39713 1034 28 ] ] -RRB- 39713 1034 29 , , , 39713 1034 30 what what WP 39713 1034 31 shall shall MD 39713 1034 32 we -PRON- PRP 39713 1034 33 have have VB 39713 1034 34 done do VBN 39713 1034 35 ? ? . 39713 1035 1 We -PRON- PRP 39713 1035 2 shall shall MD 39713 1035 3 have have VB 39713 1035 4 made make VBN 39713 1035 5 an an DT 39713 1035 6 experiment experiment NN 39713 1035 7 on on IN 39713 1035 8 the the DT 39713 1035 9 properties property NNS 39713 1035 10 of of IN 39713 1035 11 the the DT 39713 1035 12 matter matter NN 39713 1035 13 with with IN 39713 1035 14 which which WDT 39713 1035 15 we -PRON- PRP 39713 1035 16 constructed construct VBD 39713 1035 17 this this DT 39713 1035 18 _ _ NNP 39713 1035 19 round round JJ 39713 1035 20 thing thing NN 39713 1035 21 _ _ NNP 39713 1035 22 , , , 39713 1035 23 and and CC 39713 1035 24 of of IN 39713 1035 25 that that DT 39713 1035 26 of of IN 39713 1035 27 which which WDT 39713 1035 28 the the DT 39713 1035 29 measure measure NN 39713 1035 30 used use VBD 39713 1035 31 was be VBD 39713 1035 32 made make VBN 39713 1035 33 . . . 39713 1036 1 3 3 LS 39713 1036 2 . . . 39713 1037 1 GEOMETRY GEOMETRY NNP 39713 1037 2 AND and CC 39713 1037 3 ASTRONOMY.--The ASTRONOMY.--The NNS 39713 1037 4 question question NN 39713 1037 5 has have VBZ 39713 1037 6 also also RB 39713 1037 7 been be VBN 39713 1037 8 put put VBN 39713 1037 9 in in IN 39713 1037 10 another another DT 39713 1037 11 way way NN 39713 1037 12 . . . 39713 1038 1 If if IN 39713 1038 2 Lobachevski Lobachevski NNP 39713 1038 3 's 's POS 39713 1038 4 geometry geometry NN 39713 1038 5 is be VBZ 39713 1038 6 true true JJ 39713 1038 7 , , , 39713 1038 8 the the DT 39713 1038 9 parallax parallax NN 39713 1038 10 of of IN 39713 1038 11 a a DT 39713 1038 12 very very RB 39713 1038 13 distant distant JJ 39713 1038 14 star star NN 39713 1038 15 will will MD 39713 1038 16 be be VB 39713 1038 17 finite finite JJ 39713 1038 18 ; ; : 39713 1038 19 if if IN 39713 1038 20 Riemann Riemann NNP 39713 1038 21 's 's POS 39713 1038 22 is be VBZ 39713 1038 23 true true JJ 39713 1038 24 , , , 39713 1038 25 it -PRON- PRP 39713 1038 26 will will MD 39713 1038 27 be be VB 39713 1038 28 negative negative JJ 39713 1038 29 . . . 39713 1039 1 These these DT 39713 1039 2 are be VBP 39713 1039 3 results result NNS 39713 1039 4 which which WDT 39713 1039 5 seem seem VBP 39713 1039 6 within within IN 39713 1039 7 the the DT 39713 1039 8 reach reach NN 39713 1039 9 of of IN 39713 1039 10 experiment experiment NN 39713 1039 11 , , , 39713 1039 12 and and CC 39713 1039 13 there there EX 39713 1039 14 have have VBP 39713 1039 15 been be VBN 39713 1039 16 hopes hope NNS 39713 1039 17 that that IN 39713 1039 18 astronomical astronomical JJ 39713 1039 19 observations observation NNS 39713 1039 20 might may MD 39713 1039 21 enable enable VB 39713 1039 22 us -PRON- PRP 39713 1039 23 to to TO 39713 1039 24 decide decide VB 39713 1039 25 between between IN 39713 1039 26 the the DT 39713 1039 27 three three CD 39713 1039 28 geometries geometry NNS 39713 1039 29 . . . 39713 1040 1 But but CC 39713 1040 2 in in IN 39713 1040 3 astronomy astronomy NN 39713 1040 4 ' ' POS 39713 1040 5 straight straight JJ 39713 1040 6 line line NN 39713 1040 7 ' ' '' 39713 1040 8 means mean VBZ 39713 1040 9 simply simply RB 39713 1040 10 ' ' '' 39713 1040 11 path path NN 39713 1040 12 of of IN 39713 1040 13 a a DT 39713 1040 14 ray ray NN 39713 1040 15 of of IN 39713 1040 16 light light NN 39713 1040 17 . . . 39713 1040 18 ' ' '' 39713 1041 1 If if IN 39713 1041 2 therefore therefore RB 39713 1041 3 negative negative JJ 39713 1041 4 parallaxes parallax NNS 39713 1041 5 were be VBD 39713 1041 6 found find VBN 39713 1041 7 , , , 39713 1041 8 or or CC 39713 1041 9 if if IN 39713 1041 10 it -PRON- PRP 39713 1041 11 were be VBD 39713 1041 12 demonstrated demonstrate VBN 39713 1041 13 that that IN 39713 1041 14 all all DT 39713 1041 15 parallaxes parallax NNS 39713 1041 16 are be VBP 39713 1041 17 superior superior JJ 39713 1041 18 to to IN 39713 1041 19 a a DT 39713 1041 20 certain certain JJ 39713 1041 21 limit limit NN 39713 1041 22 , , , 39713 1041 23 two two CD 39713 1041 24 courses course NNS 39713 1041 25 would would MD 39713 1041 26 be be VB 39713 1041 27 open open JJ 39713 1041 28 to to IN 39713 1041 29 us -PRON- PRP 39713 1041 30 ; ; : 39713 1041 31 we -PRON- PRP 39713 1041 32 might may MD 39713 1041 33 either either CC 39713 1041 34 renounce renounce VB 39713 1041 35 Euclidean Euclidean NNP 39713 1041 36 geometry geometry NN 39713 1041 37 , , , 39713 1041 38 or or CC 39713 1041 39 else else RB 39713 1041 40 modify modify VB 39713 1041 41 the the DT 39713 1041 42 laws law NNS 39713 1041 43 of of IN 39713 1041 44 optics optic NNS 39713 1041 45 and and CC 39713 1041 46 suppose suppose VBP 39713 1041 47 that that DT 39713 1041 48 light light NN 39713 1041 49 does do VBZ 39713 1041 50 not not RB 39713 1041 51 travel travel VB 39713 1041 52 rigorously rigorously RB 39713 1041 53 in in IN 39713 1041 54 a a DT 39713 1041 55 straight straight JJ 39713 1041 56 line line NN 39713 1041 57 . . . 39713 1042 1 It -PRON- PRP 39713 1042 2 is be VBZ 39713 1042 3 needless needless JJ 39713 1042 4 to to TO 39713 1042 5 add add VB 39713 1042 6 that that IN 39713 1042 7 all all PDT 39713 1042 8 the the DT 39713 1042 9 world world NN 39713 1042 10 would would MD 39713 1042 11 regard regard VB 39713 1042 12 the the DT 39713 1042 13 latter latter JJ 39713 1042 14 solution solution NN 39713 1042 15 as as IN 39713 1042 16 the the DT 39713 1042 17 more more RBR 39713 1042 18 advantageous advantageous JJ 39713 1042 19 . . . 39713 1043 1 The the DT 39713 1043 2 Euclidean Euclidean NNP 39713 1043 3 geometry geometry NN 39713 1043 4 has have VBZ 39713 1043 5 , , , 39713 1043 6 therefore therefore RB 39713 1043 7 , , , 39713 1043 8 nothing nothing NN 39713 1043 9 to to TO 39713 1043 10 fear fear VB 39713 1043 11 from from IN 39713 1043 12 fresh fresh JJ 39713 1043 13 experiments experiment NNS 39713 1043 14 . . . 39713 1044 1 4 4 LS 39713 1044 2 . . . 39713 1045 1 Is be VBZ 39713 1045 2 the the DT 39713 1045 3 position position NN 39713 1045 4 tenable tenable JJ 39713 1045 5 , , , 39713 1045 6 that that IN 39713 1045 7 certain certain JJ 39713 1045 8 phenomena phenomenon NNS 39713 1045 9 , , , 39713 1045 10 possible possible JJ 39713 1045 11 in in IN 39713 1045 12 Euclidean euclidean JJ 39713 1045 13 space space NN 39713 1045 14 , , , 39713 1045 15 would would MD 39713 1045 16 be be VB 39713 1045 17 impossible impossible JJ 39713 1045 18 in in IN 39713 1045 19 non non JJ 39713 1045 20 - - JJ 39713 1045 21 Euclidean euclidean JJ 39713 1045 22 space space NN 39713 1045 23 , , , 39713 1045 24 so so IN 39713 1045 25 that that DT 39713 1045 26 experience experience NN 39713 1045 27 , , , 39713 1045 28 in in IN 39713 1045 29 establishing establish VBG 39713 1045 30 these these DT 39713 1045 31 phenomena phenomenon NNS 39713 1045 32 , , , 39713 1045 33 would would MD 39713 1045 34 directly directly RB 39713 1045 35 contradict contradict VB 39713 1045 36 the the DT 39713 1045 37 non non JJ 39713 1045 38 - - JJ 39713 1045 39 Euclidean euclidean JJ 39713 1045 40 hypothesis hypothesis NN 39713 1045 41 ? ? . 39713 1046 1 For for IN 39713 1046 2 my -PRON- PRP$ 39713 1046 3 part part NN 39713 1046 4 I -PRON- PRP 39713 1046 5 think think VBP 39713 1046 6 no no DT 39713 1046 7 such such JJ 39713 1046 8 question question NN 39713 1046 9 can can MD 39713 1046 10 be be VB 39713 1046 11 put put VBN 39713 1046 12 . . . 39713 1047 1 To to IN 39713 1047 2 my -PRON- PRP$ 39713 1047 3 mind mind NN 39713 1047 4 it -PRON- PRP 39713 1047 5 is be VBZ 39713 1047 6 precisely precisely RB 39713 1047 7 equivalent equivalent JJ 39713 1047 8 to to IN 39713 1047 9 the the DT 39713 1047 10 following following NN 39713 1047 11 , , , 39713 1047 12 whose whose WP$ 39713 1047 13 absurdity absurdity NN 39713 1047 14 is be VBZ 39713 1047 15 patent patent NN 39713 1047 16 to to IN 39713 1047 17 all all DT 39713 1047 18 eyes eye NNS 39713 1047 19 : : : 39713 1047 20 are be VBP 39713 1047 21 there there EX 39713 1047 22 lengths length NNS 39713 1047 23 expressible expressible JJ 39713 1047 24 in in IN 39713 1047 25 meters meter NNS 39713 1047 26 and and CC 39713 1047 27 centimeters centimeter NNS 39713 1047 28 , , , 39713 1047 29 but but CC 39713 1047 30 which which WDT 39713 1047 31 can can MD 39713 1047 32 not not RB 39713 1047 33 be be VB 39713 1047 34 measured measure VBN 39713 1047 35 in in IN 39713 1047 36 fathoms fathom NNS 39713 1047 37 , , , 39713 1047 38 feet foot NNS 39713 1047 39 and and CC 39713 1047 40 inches inch NNS 39713 1047 41 , , , 39713 1047 42 so so IN 39713 1047 43 that that DT 39713 1047 44 experience experience NN 39713 1047 45 , , , 39713 1047 46 in in IN 39713 1047 47 ascertaining ascertain VBG 39713 1047 48 the the DT 39713 1047 49 existence existence NN 39713 1047 50 of of IN 39713 1047 51 these these DT 39713 1047 52 lengths length NNS 39713 1047 53 , , , 39713 1047 54 would would MD 39713 1047 55 directly directly RB 39713 1047 56 contradict contradict VB 39713 1047 57 the the DT 39713 1047 58 hypothesis hypothesis NN 39713 1047 59 that that IN 39713 1047 60 there there EX 39713 1047 61 are be VBP 39713 1047 62 fathoms fathom NNS 39713 1047 63 divided divide VBN 39713 1047 64 into into IN 39713 1047 65 six six CD 39713 1047 66 feet foot NNS 39713 1047 67 ? ? . 39713 1048 1 Examine examine VB 39713 1048 2 the the DT 39713 1048 3 question question NN 39713 1048 4 more more RBR 39713 1048 5 closely closely RB 39713 1048 6 . . . 39713 1049 1 I -PRON- PRP 39713 1049 2 suppose suppose VBP 39713 1049 3 that that IN 39713 1049 4 the the DT 39713 1049 5 straight straight JJ 39713 1049 6 line line NN 39713 1049 7 possesses possesse NNS 39713 1049 8 in in IN 39713 1049 9 Euclidean Euclidean NNP 39713 1049 10 space space NN 39713 1049 11 any any DT 39713 1049 12 two two CD 39713 1049 13 properties property NNS 39713 1049 14 which which WDT 39713 1049 15 I -PRON- PRP 39713 1049 16 shall shall MD 39713 1049 17 call call VB 39713 1049 18 _ _ NNP 39713 1049 19 A A NNP 39713 1049 20 _ _ NNP 39713 1049 21 and and CC 39713 1049 22 _ _ NNP 39713 1049 23 B B NNP 39713 1049 24 _ _ NNP 39713 1049 25 ; ; : 39713 1049 26 that that IN 39713 1049 27 in in IN 39713 1049 28 non non JJ 39713 1049 29 - - JJ 39713 1049 30 Euclidean euclidean JJ 39713 1049 31 space space NN 39713 1049 32 it -PRON- PRP 39713 1049 33 still still RB 39713 1049 34 possesses possess VBZ 39713 1049 35 the the DT 39713 1049 36 property property NN 39713 1049 37 _ _ NNP 39713 1049 38 A A NNP 39713 1049 39 _ _ NNP 39713 1049 40 , , , 39713 1049 41 but but CC 39713 1049 42 no no RB 39713 1049 43 longer longer RB 39713 1049 44 has have VBZ 39713 1049 45 the the DT 39713 1049 46 property property NN 39713 1049 47 _ _ NNP 39713 1049 48 B B NNP 39713 1049 49 _ _ NNP 39713 1049 50 ; ; : 39713 1049 51 finally finally RB 39713 1049 52 I -PRON- PRP 39713 1049 53 suppose suppose VBP 39713 1049 54 that that IN 39713 1049 55 in in IN 39713 1049 56 both both CC 39713 1049 57 Euclidean euclidean JJ 39713 1049 58 and and CC 39713 1049 59 non non JJ 39713 1049 60 - - JJ 39713 1049 61 Euclidean euclidean JJ 39713 1049 62 space space NN 39713 1049 63 the the DT 39713 1049 64 straight straight JJ 39713 1049 65 line line NN 39713 1049 66 is be VBZ 39713 1049 67 the the DT 39713 1049 68 only only JJ 39713 1049 69 line line NN 39713 1049 70 having have VBG 39713 1049 71 the the DT 39713 1049 72 property property NN 39713 1049 73 _ _ NNP 39713 1049 74 A A NNP 39713 1049 75 _ _ NNP 39713 1049 76 . . . 39713 1050 1 If if IN 39713 1050 2 this this DT 39713 1050 3 were be VBD 39713 1050 4 so so RB 39713 1050 5 , , , 39713 1050 6 experience experience NN 39713 1050 7 would would MD 39713 1050 8 be be VB 39713 1050 9 capable capable JJ 39713 1050 10 of of IN 39713 1050 11 deciding decide VBG 39713 1050 12 between between IN 39713 1050 13 the the DT 39713 1050 14 hypothesis hypothesis NN 39713 1050 15 of of IN 39713 1050 16 Euclid Euclid NNP 39713 1050 17 and and CC 39713 1050 18 that that DT 39713 1050 19 of of IN 39713 1050 20 Lobachevski Lobachevski NNP 39713 1050 21 . . . 39713 1051 1 It -PRON- PRP 39713 1051 2 would would MD 39713 1051 3 be be VB 39713 1051 4 ascertained ascertain VBN 39713 1051 5 that that IN 39713 1051 6 a a DT 39713 1051 7 definite definite JJ 39713 1051 8 concrete concrete JJ 39713 1051 9 object object NN 39713 1051 10 , , , 39713 1051 11 accessible accessible JJ 39713 1051 12 to to IN 39713 1051 13 experiment experiment NN 39713 1051 14 , , , 39713 1051 15 for for IN 39713 1051 16 example example NN 39713 1051 17 , , , 39713 1051 18 a a DT 39713 1051 19 pencil pencil NN 39713 1051 20 of of IN 39713 1051 21 rays ray NNS 39713 1051 22 of of IN 39713 1051 23 light light NN 39713 1051 24 , , , 39713 1051 25 possesses possess VBZ 39713 1051 26 the the DT 39713 1051 27 property property NN 39713 1051 28 _ _ NNP 39713 1051 29 A A NNP 39713 1051 30 _ _ NNP 39713 1051 31 ; ; : 39713 1051 32 we -PRON- PRP 39713 1051 33 should should MD 39713 1051 34 conclude conclude VB 39713 1051 35 that that IN 39713 1051 36 it -PRON- PRP 39713 1051 37 is be VBZ 39713 1051 38 rectilinear rectilinear JJ 39713 1051 39 , , , 39713 1051 40 and and CC 39713 1051 41 then then RB 39713 1051 42 investigate investigate VBP 39713 1051 43 whether whether IN 39713 1051 44 or or CC 39713 1051 45 not not RB 39713 1051 46 it -PRON- PRP 39713 1051 47 has have VBZ 39713 1051 48 the the DT 39713 1051 49 property property NN 39713 1051 50 _ _ NNP 39713 1051 51 B B NNP 39713 1051 52 _ _ NNP 39713 1051 53 . . . 39713 1052 1 But but CC 39713 1052 2 _ _ NNP 39713 1052 3 this this DT 39713 1052 4 is be VBZ 39713 1052 5 not not RB 39713 1052 6 so so RB 39713 1052 7 _ _ NNP 39713 1052 8 ; ; : 39713 1052 9 no no DT 39713 1052 10 property property NN 39713 1052 11 exists exist VBZ 39713 1052 12 which which WDT 39713 1052 13 , , , 39713 1052 14 like like IN 39713 1052 15 this this DT 39713 1052 16 property property NN 39713 1052 17 _ _ NNP 39713 1052 18 A A NNP 39713 1052 19 _ _ NNP 39713 1052 20 , , , 39713 1052 21 can can MD 39713 1052 22 be be VB 39713 1052 23 an an DT 39713 1052 24 absolute absolute JJ 39713 1052 25 criterion criterion NN 39713 1052 26 enabling enable VBG 39713 1052 27 us -PRON- PRP 39713 1052 28 to to TO 39713 1052 29 recognize recognize VB 39713 1052 30 the the DT 39713 1052 31 straight straight JJ 39713 1052 32 line line NN 39713 1052 33 and and CC 39713 1052 34 to to TO 39713 1052 35 distinguish distinguish VB 39713 1052 36 it -PRON- PRP 39713 1052 37 from from IN 39713 1052 38 every every DT 39713 1052 39 other other JJ 39713 1052 40 line line NN 39713 1052 41 . . . 39713 1053 1 Shall Shall MD 39713 1053 2 we -PRON- PRP 39713 1053 3 say say VB 39713 1053 4 , , , 39713 1053 5 for for IN 39713 1053 6 instance instance NN 39713 1053 7 : : : 39713 1053 8 " " `` 39713 1053 9 the the DT 39713 1053 10 following following NN 39713 1053 11 is be VBZ 39713 1053 12 such such PDT 39713 1053 13 a a DT 39713 1053 14 property property NN 39713 1053 15 : : : 39713 1053 16 the the DT 39713 1053 17 straight straight JJ 39713 1053 18 line line NN 39713 1053 19 is be VBZ 39713 1053 20 a a DT 39713 1053 21 line line NN 39713 1053 22 such such JJ 39713 1053 23 that that IN 39713 1053 24 a a DT 39713 1053 25 figure figure NN 39713 1053 26 of of IN 39713 1053 27 which which WDT 39713 1053 28 this this DT 39713 1053 29 line line NN 39713 1053 30 forms form VBZ 39713 1053 31 a a DT 39713 1053 32 part part NN 39713 1053 33 can can MD 39713 1053 34 be be VB 39713 1053 35 moved move VBN 39713 1053 36 without without IN 39713 1053 37 the the DT 39713 1053 38 mutual mutual JJ 39713 1053 39 distances distance NNS 39713 1053 40 of of IN 39713 1053 41 its -PRON- PRP$ 39713 1053 42 points point NNS 39713 1053 43 varying varying NN 39713 1053 44 and and CC 39713 1053 45 so so IN 39713 1053 46 that that IN 39713 1053 47 all all DT 39713 1053 48 points point NNS 39713 1053 49 of of IN 39713 1053 50 this this DT 39713 1053 51 line line NN 39713 1053 52 remain remain VBP 39713 1053 53 fixed fixed JJ 39713 1053 54 " " '' 39713 1053 55 ? ? . 39713 1054 1 This this DT 39713 1054 2 , , , 39713 1054 3 in in IN 39713 1054 4 fact fact NN 39713 1054 5 , , , 39713 1054 6 is be VBZ 39713 1054 7 a a DT 39713 1054 8 property property NN 39713 1054 9 which which WDT 39713 1054 10 , , , 39713 1054 11 in in IN 39713 1054 12 Euclidean euclidean JJ 39713 1054 13 or or CC 39713 1054 14 non non JJ 39713 1054 15 - - JJ 39713 1054 16 Euclidean euclidean JJ 39713 1054 17 space space NN 39713 1054 18 , , , 39713 1054 19 belongs belong VBZ 39713 1054 20 to to IN 39713 1054 21 the the DT 39713 1054 22 straight straight JJ 39713 1054 23 and and CC 39713 1054 24 belongs belong VBZ 39713 1054 25 only only RB 39713 1054 26 to to IN 39713 1054 27 it -PRON- PRP 39713 1054 28 . . . 39713 1055 1 But but CC 39713 1055 2 how how WRB 39713 1055 3 shall shall MD 39713 1055 4 we -PRON- PRP 39713 1055 5 ascertain ascertain VB 39713 1055 6 experimentally experimentally RB 39713 1055 7 whether whether IN 39713 1055 8 it -PRON- PRP 39713 1055 9 belongs belong VBZ 39713 1055 10 to to IN 39713 1055 11 this this DT 39713 1055 12 or or CC 39713 1055 13 that that DT 39713 1055 14 concrete concrete JJ 39713 1055 15 object object NN 39713 1055 16 ? ? . 39713 1056 1 It -PRON- PRP 39713 1056 2 will will MD 39713 1056 3 be be VB 39713 1056 4 necessary necessary JJ 39713 1056 5 to to TO 39713 1056 6 measure measure VB 39713 1056 7 distances distance NNS 39713 1056 8 , , , 39713 1056 9 and and CC 39713 1056 10 how how WRB 39713 1056 11 shall shall MD 39713 1056 12 one one PRP 39713 1056 13 know know VB 39713 1056 14 that that IN 39713 1056 15 any any DT 39713 1056 16 concrete concrete JJ 39713 1056 17 magnitude magnitude NN 39713 1056 18 which which WDT 39713 1056 19 I -PRON- PRP 39713 1056 20 have have VBP 39713 1056 21 measured measure VBN 39713 1056 22 with with IN 39713 1056 23 my -PRON- PRP$ 39713 1056 24 material material NN 39713 1056 25 instrument instrument NN 39713 1056 26 really really RB 39713 1056 27 represents represent VBZ 39713 1056 28 the the DT 39713 1056 29 abstract abstract JJ 39713 1056 30 distance distance NN 39713 1056 31 ? ? . 39713 1057 1 We -PRON- PRP 39713 1057 2 have have VBP 39713 1057 3 only only RB 39713 1057 4 pushed push VBN 39713 1057 5 back back RB 39713 1057 6 the the DT 39713 1057 7 difficulty difficulty NN 39713 1057 8 . . . 39713 1058 1 In in IN 39713 1058 2 reality reality NN 39713 1058 3 the the DT 39713 1058 4 property property NN 39713 1058 5 just just RB 39713 1058 6 enunciated enunciate VBN 39713 1058 7 is be VBZ 39713 1058 8 not not RB 39713 1058 9 a a DT 39713 1058 10 property property NN 39713 1058 11 of of IN 39713 1058 12 the the DT 39713 1058 13 straight straight JJ 39713 1058 14 line line NN 39713 1058 15 alone alone RB 39713 1058 16 , , , 39713 1058 17 it -PRON- PRP 39713 1058 18 is be VBZ 39713 1058 19 a a DT 39713 1058 20 property property NN 39713 1058 21 of of IN 39713 1058 22 the the DT 39713 1058 23 straight straight JJ 39713 1058 24 line line NN 39713 1058 25 and and CC 39713 1058 26 distance distance NN 39713 1058 27 . . . 39713 1059 1 For for IN 39713 1059 2 it -PRON- PRP 39713 1059 3 to to TO 39713 1059 4 serve serve VB 39713 1059 5 as as IN 39713 1059 6 absolute absolute JJ 39713 1059 7 criterion criterion NN 39713 1059 8 , , , 39713 1059 9 we -PRON- PRP 39713 1059 10 should should MD 39713 1059 11 have have VB 39713 1059 12 to to TO 39713 1059 13 be be VB 39713 1059 14 able able JJ 39713 1059 15 to to TO 39713 1059 16 establish establish VB 39713 1059 17 not not RB 39713 1059 18 only only RB 39713 1059 19 that that IN 39713 1059 20 it -PRON- PRP 39713 1059 21 does do VBZ 39713 1059 22 not not RB 39713 1059 23 also also RB 39713 1059 24 belong belong VB 39713 1059 25 to to IN 39713 1059 26 a a DT 39713 1059 27 line line NN 39713 1059 28 other other JJ 39713 1059 29 than than IN 39713 1059 30 the the DT 39713 1059 31 straight straight NN 39713 1059 32 and and CC 39713 1059 33 to to TO 39713 1059 34 distance distance VB 39713 1059 35 , , , 39713 1059 36 but but CC 39713 1059 37 in in IN 39713 1059 38 addition addition NN 39713 1059 39 that that IN 39713 1059 40 it -PRON- PRP 39713 1059 41 does do VBZ 39713 1059 42 not not RB 39713 1059 43 belong belong VB 39713 1059 44 to to IN 39713 1059 45 a a DT 39713 1059 46 line line NN 39713 1059 47 other other JJ 39713 1059 48 than than IN 39713 1059 49 the the DT 39713 1059 50 straight straight NN 39713 1059 51 and and CC 39713 1059 52 to to IN 39713 1059 53 a a DT 39713 1059 54 magnitude magnitude NN 39713 1059 55 other other JJ 39713 1059 56 than than IN 39713 1059 57 distance distance NN 39713 1059 58 . . . 39713 1060 1 Now now RB 39713 1060 2 this this DT 39713 1060 3 is be VBZ 39713 1060 4 not not RB 39713 1060 5 true true JJ 39713 1060 6 . . . 39713 1061 1 It -PRON- PRP 39713 1061 2 is be VBZ 39713 1061 3 therefore therefore RB 39713 1061 4 impossible impossible JJ 39713 1061 5 to to TO 39713 1061 6 imagine imagine VB 39713 1061 7 a a DT 39713 1061 8 concrete concrete JJ 39713 1061 9 experiment experiment NN 39713 1061 10 which which WDT 39713 1061 11 can can MD 39713 1061 12 be be VB 39713 1061 13 interpreted interpret VBN 39713 1061 14 in in IN 39713 1061 15 the the DT 39713 1061 16 Euclidean euclidean JJ 39713 1061 17 system system NN 39713 1061 18 and and CC 39713 1061 19 not not RB 39713 1061 20 in in IN 39713 1061 21 the the DT 39713 1061 22 Lobachevskian lobachevskian JJ 39713 1061 23 system system NN 39713 1061 24 , , , 39713 1061 25 so so IN 39713 1061 26 that that IN 39713 1061 27 I -PRON- PRP 39713 1061 28 may may MD 39713 1061 29 conclude conclude VB 39713 1061 30 : : : 39713 1061 31 No no DT 39713 1061 32 experience experience NN 39713 1061 33 will will MD 39713 1061 34 ever ever RB 39713 1061 35 be be VB 39713 1061 36 in in IN 39713 1061 37 contradiction contradiction NN 39713 1061 38 to to IN 39713 1061 39 Euclid Euclid NNP 39713 1061 40 's 's POS 39713 1061 41 postulate postulate NN 39713 1061 42 ; ; : 39713 1061 43 nor nor CC 39713 1061 44 , , , 39713 1061 45 on on IN 39713 1061 46 the the DT 39713 1061 47 other other JJ 39713 1061 48 hand hand NN 39713 1061 49 , , , 39713 1061 50 will will MD 39713 1061 51 any any DT 39713 1061 52 experience experience NN 39713 1061 53 ever ever RB 39713 1061 54 contradict contradict VBP 39713 1061 55 the the DT 39713 1061 56 postulate postulate NN 39713 1061 57 of of IN 39713 1061 58 Lobachevski Lobachevski NNP 39713 1061 59 . . . 39713 1062 1 5 5 CD 39713 1062 2 . . . 39713 1063 1 But but CC 39713 1063 2 it -PRON- PRP 39713 1063 3 is be VBZ 39713 1063 4 not not RB 39713 1063 5 enough enough JJ 39713 1063 6 that that IN 39713 1063 7 the the DT 39713 1063 8 Euclidean Euclidean NNP 39713 1063 9 ( ( -LRB- 39713 1063 10 or or CC 39713 1063 11 non non JJ 39713 1063 12 - - JJ 39713 1063 13 Euclidean euclidean JJ 39713 1063 14 ) ) -RRB- 39713 1063 15 geometry geometry NN 39713 1063 16 can can MD 39713 1063 17 never never RB 39713 1063 18 be be VB 39713 1063 19 directly directly RB 39713 1063 20 contradicted contradict VBN 39713 1063 21 by by IN 39713 1063 22 experience experience NN 39713 1063 23 . . . 39713 1064 1 Might may MD 39713 1064 2 it -PRON- PRP 39713 1064 3 not not RB 39713 1064 4 happen happen VB 39713 1064 5 that that IN 39713 1064 6 it -PRON- PRP 39713 1064 7 can can MD 39713 1064 8 accord accord VB 39713 1064 9 with with IN 39713 1064 10 experience experience NN 39713 1064 11 only only RB 39713 1064 12 by by IN 39713 1064 13 violating violate VBG 39713 1064 14 the the DT 39713 1064 15 principle principle NN 39713 1064 16 of of IN 39713 1064 17 sufficient sufficient JJ 39713 1064 18 reason reason NN 39713 1064 19 or or CC 39713 1064 20 that that DT 39713 1064 21 of of IN 39713 1064 22 the the DT 39713 1064 23 relativity relativity NN 39713 1064 24 of of IN 39713 1064 25 space space NN 39713 1064 26 ? ? . 39713 1065 1 I -PRON- PRP 39713 1065 2 will will MD 39713 1065 3 explain explain VB 39713 1065 4 myself -PRON- PRP 39713 1065 5 : : : 39713 1065 6 consider consider VB 39713 1065 7 any any DT 39713 1065 8 material material NN 39713 1065 9 system system NN 39713 1065 10 ; ; : 39713 1065 11 we -PRON- PRP 39713 1065 12 shall shall MD 39713 1065 13 have have VB 39713 1065 14 to to TO 39713 1065 15 regard regard VB 39713 1065 16 , , , 39713 1065 17 on on IN 39713 1065 18 the the DT 39713 1065 19 one one CD 39713 1065 20 hand hand NN 39713 1065 21 , , , 39713 1065 22 ' ' '' 39713 1065 23 the the DT 39713 1065 24 state state NN 39713 1065 25 ' ' '' 39713 1065 26 of of IN 39713 1065 27 the the DT 39713 1065 28 various various JJ 39713 1065 29 bodies body NNS 39713 1065 30 of of IN 39713 1065 31 this this DT 39713 1065 32 system system NN 39713 1065 33 ( ( -LRB- 39713 1065 34 for for IN 39713 1065 35 instance instance NN 39713 1065 36 , , , 39713 1065 37 their -PRON- PRP$ 39713 1065 38 temperature temperature NN 39713 1065 39 , , , 39713 1065 40 their -PRON- PRP$ 39713 1065 41 electric electric JJ 39713 1065 42 potential potential NN 39713 1065 43 , , , 39713 1065 44 etc etc FW 39713 1065 45 . . . 39713 1066 1 ) ) -RRB- 39713 1066 2 , , , 39713 1066 3 and and CC 39713 1066 4 , , , 39713 1066 5 on on IN 39713 1066 6 the the DT 39713 1066 7 other other JJ 39713 1066 8 hand hand NN 39713 1066 9 , , , 39713 1066 10 their -PRON- PRP$ 39713 1066 11 position position NN 39713 1066 12 in in IN 39713 1066 13 space space NN 39713 1066 14 ; ; : 39713 1066 15 and and CC 39713 1066 16 among among IN 39713 1066 17 the the DT 39713 1066 18 data datum NNS 39713 1066 19 which which WDT 39713 1066 20 enable enable VBP 39713 1066 21 us -PRON- PRP 39713 1066 22 to to TO 39713 1066 23 define define VB 39713 1066 24 this this DT 39713 1066 25 position position NN 39713 1066 26 we -PRON- PRP 39713 1066 27 shall shall MD 39713 1066 28 , , , 39713 1066 29 moreover moreover RB 39713 1066 30 , , , 39713 1066 31 distinguish distinguish VB 39713 1066 32 the the DT 39713 1066 33 mutual mutual JJ 39713 1066 34 distances distance NNS 39713 1066 35 of of IN 39713 1066 36 these these DT 39713 1066 37 bodies body NNS 39713 1066 38 , , , 39713 1066 39 which which WDT 39713 1066 40 define define VBP 39713 1066 41 their -PRON- PRP$ 39713 1066 42 relative relative JJ 39713 1066 43 positions position NNS 39713 1066 44 , , , 39713 1066 45 from from IN 39713 1066 46 the the DT 39713 1066 47 conditions condition NNS 39713 1066 48 which which WDT 39713 1066 49 define define VBP 39713 1066 50 the the DT 39713 1066 51 absolute absolute JJ 39713 1066 52 position position NN 39713 1066 53 of of IN 39713 1066 54 the the DT 39713 1066 55 system system NN 39713 1066 56 and and CC 39713 1066 57 its -PRON- PRP$ 39713 1066 58 absolute absolute JJ 39713 1066 59 orientation orientation NN 39713 1066 60 in in IN 39713 1066 61 space space NN 39713 1066 62 . . . 39713 1067 1 The the DT 39713 1067 2 laws law NNS 39713 1067 3 of of IN 39713 1067 4 the the DT 39713 1067 5 phenomena phenomenon NNS 39713 1067 6 which which WDT 39713 1067 7 will will MD 39713 1067 8 happen happen VB 39713 1067 9 in in IN 39713 1067 10 this this DT 39713 1067 11 system system NN 39713 1067 12 will will MD 39713 1067 13 depend depend VB 39713 1067 14 on on IN 39713 1067 15 the the DT 39713 1067 16 state state NN 39713 1067 17 of of IN 39713 1067 18 these these DT 39713 1067 19 bodies body NNS 39713 1067 20 and and CC 39713 1067 21 their -PRON- PRP$ 39713 1067 22 mutual mutual JJ 39713 1067 23 distances distance NNS 39713 1067 24 ; ; : 39713 1067 25 but but CC 39713 1067 26 , , , 39713 1067 27 because because IN 39713 1067 28 of of IN 39713 1067 29 the the DT 39713 1067 30 relativity relativity NN 39713 1067 31 and and CC 39713 1067 32 passivity passivity NN 39713 1067 33 of of IN 39713 1067 34 space space NN 39713 1067 35 , , , 39713 1067 36 they -PRON- PRP 39713 1067 37 will will MD 39713 1067 38 not not RB 39713 1067 39 depend depend VB 39713 1067 40 on on IN 39713 1067 41 the the DT 39713 1067 42 absolute absolute JJ 39713 1067 43 position position NN 39713 1067 44 and and CC 39713 1067 45 orientation orientation NN 39713 1067 46 of of IN 39713 1067 47 the the DT 39713 1067 48 system system NN 39713 1067 49 . . . 39713 1068 1 In in IN 39713 1068 2 other other JJ 39713 1068 3 words word NNS 39713 1068 4 , , , 39713 1068 5 the the DT 39713 1068 6 state state NN 39713 1068 7 of of IN 39713 1068 8 the the DT 39713 1068 9 bodies body NNS 39713 1068 10 and and CC 39713 1068 11 their -PRON- PRP$ 39713 1068 12 mutual mutual JJ 39713 1068 13 distances distance NNS 39713 1068 14 at at IN 39713 1068 15 any any DT 39713 1068 16 instant instant NN 39713 1068 17 will will MD 39713 1068 18 depend depend VB 39713 1068 19 solely solely RB 39713 1068 20 on on IN 39713 1068 21 the the DT 39713 1068 22 state state NN 39713 1068 23 of of IN 39713 1068 24 these these DT 39713 1068 25 same same JJ 39713 1068 26 bodies body NNS 39713 1068 27 and and CC 39713 1068 28 on on IN 39713 1068 29 their -PRON- PRP$ 39713 1068 30 mutual mutual JJ 39713 1068 31 distances distance NNS 39713 1068 32 at at IN 39713 1068 33 the the DT 39713 1068 34 initial initial JJ 39713 1068 35 instant instant NN 39713 1068 36 , , , 39713 1068 37 but but CC 39713 1068 38 will will MD 39713 1068 39 not not RB 39713 1068 40 at at RB 39713 1068 41 all all RB 39713 1068 42 depend depend VB 39713 1068 43 on on IN 39713 1068 44 the the DT 39713 1068 45 absolute absolute JJ 39713 1068 46 initial initial JJ 39713 1068 47 position position NN 39713 1068 48 of of IN 39713 1068 49 the the DT 39713 1068 50 system system NN 39713 1068 51 or or CC 39713 1068 52 on on IN 39713 1068 53 its -PRON- PRP$ 39713 1068 54 absolute absolute JJ 39713 1068 55 initial initial JJ 39713 1068 56 orientation orientation NN 39713 1068 57 . . . 39713 1069 1 This this DT 39713 1069 2 is be VBZ 39713 1069 3 what what WP 39713 1069 4 for for IN 39713 1069 5 brevity brevity NN 39713 1069 6 I -PRON- PRP 39713 1069 7 shall shall MD 39713 1069 8 call call VB 39713 1069 9 the the DT 39713 1069 10 _ _ NNP 39713 1069 11 law law NN 39713 1069 12 of of IN 39713 1069 13 relativity relativity NN 39713 1069 14 _ _ NNP 39713 1069 15 . . . 39713 1070 1 Hitherto Hitherto NNP 39713 1070 2 I -PRON- PRP 39713 1070 3 have have VBP 39713 1070 4 spoken speak VBN 39713 1070 5 as as IN 39713 1070 6 a a DT 39713 1070 7 Euclidean euclidean JJ 39713 1070 8 geometer geometer NN 39713 1070 9 . . . 39713 1071 1 As as IN 39713 1071 2 I -PRON- PRP 39713 1071 3 have have VBP 39713 1071 4 said say VBD 39713 1071 5 , , , 39713 1071 6 an an DT 39713 1071 7 experience experience NN 39713 1071 8 , , , 39713 1071 9 whatever whatever WDT 39713 1071 10 it -PRON- PRP 39713 1071 11 be be VB 39713 1071 12 , , , 39713 1071 13 admits admit NNS 39713 1071 14 of of IN 39713 1071 15 an an DT 39713 1071 16 interpretation interpretation NN 39713 1071 17 on on IN 39713 1071 18 the the DT 39713 1071 19 Euclidean euclidean JJ 39713 1071 20 hypothesis hypothesis NN 39713 1071 21 ; ; : 39713 1071 22 but but CC 39713 1071 23 it -PRON- PRP 39713 1071 24 admits admit VBZ 39713 1071 25 of of IN 39713 1071 26 one one CD 39713 1071 27 equally equally RB 39713 1071 28 on on IN 39713 1071 29 the the DT 39713 1071 30 non non JJ 39713 1071 31 - - JJ 39713 1071 32 Euclidean euclidean JJ 39713 1071 33 hypothesis hypothesis NN 39713 1071 34 . . . 39713 1072 1 Well well UH 39713 1072 2 , , , 39713 1072 3 we -PRON- PRP 39713 1072 4 have have VBP 39713 1072 5 made make VBN 39713 1072 6 a a DT 39713 1072 7 series series NN 39713 1072 8 of of IN 39713 1072 9 experiments experiment NNS 39713 1072 10 ; ; : 39713 1072 11 we -PRON- PRP 39713 1072 12 have have VBP 39713 1072 13 interpreted interpret VBN 39713 1072 14 them -PRON- PRP 39713 1072 15 on on IN 39713 1072 16 the the DT 39713 1072 17 Euclidean euclidean JJ 39713 1072 18 hypothesis hypothesis NN 39713 1072 19 , , , 39713 1072 20 and and CC 39713 1072 21 we -PRON- PRP 39713 1072 22 have have VBP 39713 1072 23 recognized recognize VBN 39713 1072 24 that that IN 39713 1072 25 these these DT 39713 1072 26 experiments experiment NNS 39713 1072 27 thus thus RB 39713 1072 28 interpreted interpret VBN 39713 1072 29 do do VBP 39713 1072 30 not not RB 39713 1072 31 violate violate VB 39713 1072 32 this this DT 39713 1072 33 ' ' `` 39713 1072 34 law law NN 39713 1072 35 of of IN 39713 1072 36 relativity relativity NN 39713 1072 37 . . . 39713 1072 38 ' ' '' 39713 1073 1 We -PRON- PRP 39713 1073 2 now now RB 39713 1073 3 interpret interpret VBP 39713 1073 4 them -PRON- PRP 39713 1073 5 on on IN 39713 1073 6 the the DT 39713 1073 7 non non JJ 39713 1073 8 - - JJ 39713 1073 9 Euclidean euclidean JJ 39713 1073 10 hypothesis hypothesis NN 39713 1073 11 : : : 39713 1073 12 this this DT 39713 1073 13 is be VBZ 39713 1073 14 always always RB 39713 1073 15 possible possible JJ 39713 1073 16 ; ; : 39713 1073 17 only only RB 39713 1073 18 the the DT 39713 1073 19 non non JJ 39713 1073 20 - - JJ 39713 1073 21 Euclidean euclidean JJ 39713 1073 22 distances distance NNS 39713 1073 23 of of IN 39713 1073 24 our -PRON- PRP$ 39713 1073 25 different different JJ 39713 1073 26 bodies body NNS 39713 1073 27 in in IN 39713 1073 28 this this DT 39713 1073 29 new new JJ 39713 1073 30 interpretation interpretation NN 39713 1073 31 will will MD 39713 1073 32 not not RB 39713 1073 33 generally generally RB 39713 1073 34 be be VB 39713 1073 35 the the DT 39713 1073 36 same same JJ 39713 1073 37 as as IN 39713 1073 38 the the DT 39713 1073 39 Euclidean euclidean JJ 39713 1073 40 distances distance NNS 39713 1073 41 in in IN 39713 1073 42 the the DT 39713 1073 43 primitive primitive JJ 39713 1073 44 interpretation interpretation NN 39713 1073 45 . . . 39713 1074 1 Will Will MD 39713 1074 2 our -PRON- PRP$ 39713 1074 3 experiments experiment NNS 39713 1074 4 , , , 39713 1074 5 interpreted interpret VBN 39713 1074 6 in in IN 39713 1074 7 this this DT 39713 1074 8 new new JJ 39713 1074 9 manner manner NN 39713 1074 10 , , , 39713 1074 11 still still RB 39713 1074 12 be be VB 39713 1074 13 in in IN 39713 1074 14 accord accord NN 39713 1074 15 with with IN 39713 1074 16 our -PRON- PRP$ 39713 1074 17 ' ' `` 39713 1074 18 law law NN 39713 1074 19 of of IN 39713 1074 20 relativity relativity NN 39713 1074 21 ' ' '' 39713 1074 22 ? ? . 39713 1075 1 And and CC 39713 1075 2 if if IN 39713 1075 3 there there EX 39713 1075 4 were be VBD 39713 1075 5 not not RB 39713 1075 6 this this DT 39713 1075 7 accord accord NN 39713 1075 8 , , , 39713 1075 9 should should MD 39713 1075 10 we -PRON- PRP 39713 1075 11 not not RB 39713 1075 12 have have VB 39713 1075 13 also also RB 39713 1075 14 the the DT 39713 1075 15 right right NN 39713 1075 16 to to TO 39713 1075 17 say say VB 39713 1075 18 experience experience NN 39713 1075 19 had have VBD 39713 1075 20 proven prove VBN 39713 1075 21 the the DT 39713 1075 22 falsity falsity NN 39713 1075 23 of of IN 39713 1075 24 the the DT 39713 1075 25 non non JJ 39713 1075 26 - - JJ 39713 1075 27 Euclidean euclidean JJ 39713 1075 28 geometry geometry NN 39713 1075 29 ? ? . 39713 1076 1 It -PRON- PRP 39713 1076 2 is be VBZ 39713 1076 3 easy easy JJ 39713 1076 4 to to TO 39713 1076 5 see see VB 39713 1076 6 that that IN 39713 1076 7 this this DT 39713 1076 8 is be VBZ 39713 1076 9 an an DT 39713 1076 10 idle idle JJ 39713 1076 11 fear fear NN 39713 1076 12 ; ; : 39713 1076 13 in in IN 39713 1076 14 fact fact NN 39713 1076 15 , , , 39713 1076 16 to to TO 39713 1076 17 apply apply VB 39713 1076 18 the the DT 39713 1076 19 law law NN 39713 1076 20 of of IN 39713 1076 21 relativity relativity NN 39713 1076 22 in in IN 39713 1076 23 all all DT 39713 1076 24 rigor rigor NN 39713 1076 25 , , , 39713 1076 26 it -PRON- PRP 39713 1076 27 must must MD 39713 1076 28 be be VB 39713 1076 29 applied apply VBN 39713 1076 30 to to IN 39713 1076 31 the the DT 39713 1076 32 entire entire JJ 39713 1076 33 universe universe NN 39713 1076 34 . . . 39713 1077 1 For for IN 39713 1077 2 if if IN 39713 1077 3 only only RB 39713 1077 4 a a DT 39713 1077 5 part part NN 39713 1077 6 of of IN 39713 1077 7 this this DT 39713 1077 8 universe universe NN 39713 1077 9 were be VBD 39713 1077 10 considered consider VBN 39713 1077 11 , , , 39713 1077 12 and and CC 39713 1077 13 if if IN 39713 1077 14 the the DT 39713 1077 15 absolute absolute JJ 39713 1077 16 position position NN 39713 1077 17 of of IN 39713 1077 18 this this DT 39713 1077 19 part part NN 39713 1077 20 happened happen VBD 39713 1077 21 to to TO 39713 1077 22 vary vary VB 39713 1077 23 , , , 39713 1077 24 the the DT 39713 1077 25 distances distance NNS 39713 1077 26 to to IN 39713 1077 27 the the DT 39713 1077 28 other other JJ 39713 1077 29 bodies body NNS 39713 1077 30 of of IN 39713 1077 31 the the DT 39713 1077 32 universe universe NN 39713 1077 33 would would MD 39713 1077 34 likewise likewise RB 39713 1077 35 vary vary VB 39713 1077 36 , , , 39713 1077 37 their -PRON- PRP$ 39713 1077 38 influence influence NN 39713 1077 39 on on IN 39713 1077 40 the the DT 39713 1077 41 part part NN 39713 1077 42 of of IN 39713 1077 43 the the DT 39713 1077 44 universe universe NN 39713 1077 45 considered consider VBN 39713 1077 46 would would MD 39713 1077 47 consequently consequently RB 39713 1077 48 augment augment VB 39713 1077 49 or or CC 39713 1077 50 diminish diminish VB 39713 1077 51 , , , 39713 1077 52 which which WDT 39713 1077 53 might may MD 39713 1077 54 modify modify VB 39713 1077 55 the the DT 39713 1077 56 laws law NNS 39713 1077 57 of of IN 39713 1077 58 the the DT 39713 1077 59 phenomena phenomenon NNS 39713 1077 60 happening happen VBG 39713 1077 61 there there RB 39713 1077 62 . . . 39713 1078 1 But but CC 39713 1078 2 if if IN 39713 1078 3 our -PRON- PRP$ 39713 1078 4 system system NN 39713 1078 5 is be VBZ 39713 1078 6 the the DT 39713 1078 7 entire entire JJ 39713 1078 8 universe universe NN 39713 1078 9 , , , 39713 1078 10 experience experience NN 39713 1078 11 is be VBZ 39713 1078 12 powerless powerless JJ 39713 1078 13 to to TO 39713 1078 14 give give VB 39713 1078 15 information information NN 39713 1078 16 about about IN 39713 1078 17 its -PRON- PRP$ 39713 1078 18 absolute absolute JJ 39713 1078 19 position position NN 39713 1078 20 and and CC 39713 1078 21 orientation orientation NN 39713 1078 22 in in IN 39713 1078 23 space space NN 39713 1078 24 . . . 39713 1079 1 All all DT 39713 1079 2 that that WDT 39713 1079 3 our -PRON- PRP$ 39713 1079 4 instruments instrument NNS 39713 1079 5 , , , 39713 1079 6 however however RB 39713 1079 7 perfected perfect VBN 39713 1079 8 they -PRON- PRP 39713 1079 9 may may MD 39713 1079 10 be be VB 39713 1079 11 , , , 39713 1079 12 can can MD 39713 1079 13 tell tell VB 39713 1079 14 us -PRON- PRP 39713 1079 15 will will MD 39713 1079 16 be be VB 39713 1079 17 the the DT 39713 1079 18 state state NN 39713 1079 19 of of IN 39713 1079 20 the the DT 39713 1079 21 various various JJ 39713 1079 22 parts part NNS 39713 1079 23 of of IN 39713 1079 24 the the DT 39713 1079 25 universe universe NN 39713 1079 26 and and CC 39713 1079 27 their -PRON- PRP$ 39713 1079 28 mutual mutual JJ 39713 1079 29 distances distance NNS 39713 1079 30 . . . 39713 1080 1 So so RB 39713 1080 2 our -PRON- PRP$ 39713 1080 3 law law NN 39713 1080 4 of of IN 39713 1080 5 relativity relativity NN 39713 1080 6 may may MD 39713 1080 7 be be VB 39713 1080 8 thus thus RB 39713 1080 9 enunciated enunciate VBN 39713 1080 10 : : : 39713 1080 11 The the DT 39713 1080 12 readings reading NNS 39713 1080 13 we -PRON- PRP 39713 1080 14 shall shall MD 39713 1080 15 be be VB 39713 1080 16 able able JJ 39713 1080 17 to to TO 39713 1080 18 make make VB 39713 1080 19 on on IN 39713 1080 20 our -PRON- PRP$ 39713 1080 21 instruments instrument NNS 39713 1080 22 at at IN 39713 1080 23 any any DT 39713 1080 24 instant instant NN 39713 1080 25 will will MD 39713 1080 26 depend depend VB 39713 1080 27 only only RB 39713 1080 28 on on IN 39713 1080 29 the the DT 39713 1080 30 readings reading NNS 39713 1080 31 we -PRON- PRP 39713 1080 32 could could MD 39713 1080 33 have have VB 39713 1080 34 made make VBN 39713 1080 35 on on IN 39713 1080 36 these these DT 39713 1080 37 same same JJ 39713 1080 38 instruments instrument NNS 39713 1080 39 at at IN 39713 1080 40 the the DT 39713 1080 41 initial initial JJ 39713 1080 42 instant instant NN 39713 1080 43 . . . 39713 1081 1 Now now RB 39713 1081 2 such such PDT 39713 1081 3 an an DT 39713 1081 4 enunciation enunciation NN 39713 1081 5 is be VBZ 39713 1081 6 independent independent JJ 39713 1081 7 of of IN 39713 1081 8 every every DT 39713 1081 9 interpretation interpretation NN 39713 1081 10 of of IN 39713 1081 11 experimental experimental JJ 39713 1081 12 facts fact NNS 39713 1081 13 . . . 39713 1082 1 If if IN 39713 1082 2 the the DT 39713 1082 3 law law NN 39713 1082 4 is be VBZ 39713 1082 5 true true JJ 39713 1082 6 in in IN 39713 1082 7 the the DT 39713 1082 8 Euclidean euclidean JJ 39713 1082 9 interpretation interpretation NN 39713 1082 10 , , , 39713 1082 11 it -PRON- PRP 39713 1082 12 will will MD 39713 1082 13 also also RB 39713 1082 14 be be VB 39713 1082 15 true true JJ 39713 1082 16 in in IN 39713 1082 17 the the DT 39713 1082 18 non non JJ 39713 1082 19 - - JJ 39713 1082 20 Euclidean euclidean JJ 39713 1082 21 interpretation interpretation NN 39713 1082 22 . . . 39713 1083 1 Allow allow VB 39713 1083 2 me -PRON- PRP 39713 1083 3 here here RB 39713 1083 4 a a DT 39713 1083 5 short short JJ 39713 1083 6 digression digression NN 39713 1083 7 . . . 39713 1084 1 I -PRON- PRP 39713 1084 2 have have VBP 39713 1084 3 spoken speak VBN 39713 1084 4 above above RB 39713 1084 5 of of IN 39713 1084 6 the the DT 39713 1084 7 data datum NNS 39713 1084 8 which which WDT 39713 1084 9 define define VBP 39713 1084 10 the the DT 39713 1084 11 position position NN 39713 1084 12 of of IN 39713 1084 13 the the DT 39713 1084 14 various various JJ 39713 1084 15 bodies body NNS 39713 1084 16 of of IN 39713 1084 17 the the DT 39713 1084 18 system system NN 39713 1084 19 ; ; : 39713 1084 20 I -PRON- PRP 39713 1084 21 should should MD 39713 1084 22 likewise likewise RB 39713 1084 23 have have VB 39713 1084 24 spoken speak VBN 39713 1084 25 of of IN 39713 1084 26 those those DT 39713 1084 27 which which WDT 39713 1084 28 define define VBP 39713 1084 29 their -PRON- PRP$ 39713 1084 30 velocities velocity NNS 39713 1084 31 ; ; : 39713 1084 32 I -PRON- PRP 39713 1084 33 should should MD 39713 1084 34 then then RB 39713 1084 35 have have VB 39713 1084 36 had have VBN 39713 1084 37 to to TO 39713 1084 38 distinguish distinguish VB 39713 1084 39 the the DT 39713 1084 40 velocities velocity NNS 39713 1084 41 with with IN 39713 1084 42 which which WDT 39713 1084 43 the the DT 39713 1084 44 mutual mutual JJ 39713 1084 45 distances distance NNS 39713 1084 46 of of IN 39713 1084 47 the the DT 39713 1084 48 different different JJ 39713 1084 49 bodies body NNS 39713 1084 50 vary vary VBP 39713 1084 51 ; ; : 39713 1084 52 and and CC 39713 1084 53 , , , 39713 1084 54 on on IN 39713 1084 55 the the DT 39713 1084 56 other other JJ 39713 1084 57 hand hand NN 39713 1084 58 , , , 39713 1084 59 the the DT 39713 1084 60 velocities velocity NNS 39713 1084 61 of of IN 39713 1084 62 translation translation NN 39713 1084 63 and and CC 39713 1084 64 rotation rotation NN 39713 1084 65 of of IN 39713 1084 66 the the DT 39713 1084 67 system system NN 39713 1084 68 , , , 39713 1084 69 that that DT 39713 1084 70 is be VBZ 39713 1084 71 to to TO 39713 1084 72 say say VB 39713 1084 73 , , , 39713 1084 74 the the DT 39713 1084 75 velocities velocity NNS 39713 1084 76 with with IN 39713 1084 77 which which WDT 39713 1084 78 its -PRON- PRP$ 39713 1084 79 absolute absolute JJ 39713 1084 80 position position NN 39713 1084 81 and and CC 39713 1084 82 orientation orientation NN 39713 1084 83 vary vary VBP 39713 1084 84 . . . 39713 1085 1 To to TO 39713 1085 2 fully fully RB 39713 1085 3 satisfy satisfy VB 39713 1085 4 the the DT 39713 1085 5 mind mind NN 39713 1085 6 , , , 39713 1085 7 the the DT 39713 1085 8 law law NN 39713 1085 9 of of IN 39713 1085 10 relativity relativity NN 39713 1085 11 should should MD 39713 1085 12 be be VB 39713 1085 13 expressible expressible JJ 39713 1085 14 thus thus RB 39713 1085 15 : : : 39713 1085 16 The the DT 39713 1085 17 state state NN 39713 1085 18 of of IN 39713 1085 19 bodies body NNS 39713 1085 20 and and CC 39713 1085 21 their -PRON- PRP$ 39713 1085 22 mutual mutual JJ 39713 1085 23 distances distance NNS 39713 1085 24 at at IN 39713 1085 25 any any DT 39713 1085 26 instant instant NN 39713 1085 27 , , , 39713 1085 28 as as RB 39713 1085 29 well well RB 39713 1085 30 as as IN 39713 1085 31 the the DT 39713 1085 32 velocities velocity NNS 39713 1085 33 with with IN 39713 1085 34 which which WDT 39713 1085 35 these these DT 39713 1085 36 distances distance NNS 39713 1085 37 vary vary VBP 39713 1085 38 at at IN 39713 1085 39 this this DT 39713 1085 40 same same JJ 39713 1085 41 instant instant NN 39713 1085 42 , , , 39713 1085 43 will will MD 39713 1085 44 depend depend VB 39713 1085 45 only only RB 39713 1085 46 on on IN 39713 1085 47 the the DT 39713 1085 48 state state NN 39713 1085 49 of of IN 39713 1085 50 those those DT 39713 1085 51 bodies body NNS 39713 1085 52 and and CC 39713 1085 53 their -PRON- PRP$ 39713 1085 54 mutual mutual JJ 39713 1085 55 distances distance NNS 39713 1085 56 at at IN 39713 1085 57 the the DT 39713 1085 58 initial initial JJ 39713 1085 59 instant instant NN 39713 1085 60 , , , 39713 1085 61 and and CC 39713 1085 62 the the DT 39713 1085 63 velocities velocity NNS 39713 1085 64 with with IN 39713 1085 65 which which WDT 39713 1085 66 these these DT 39713 1085 67 distances distance NNS 39713 1085 68 vary vary VBP 39713 1085 69 at at IN 39713 1085 70 this this DT 39713 1085 71 initial initial JJ 39713 1085 72 instant instant NN 39713 1085 73 , , , 39713 1085 74 but but CC 39713 1085 75 they -PRON- PRP 39713 1085 76 will will MD 39713 1085 77 not not RB 39713 1085 78 depend depend VB 39713 1085 79 either either CC 39713 1085 80 upon upon IN 39713 1085 81 the the DT 39713 1085 82 absolute absolute JJ 39713 1085 83 initial initial JJ 39713 1085 84 position position NN 39713 1085 85 of of IN 39713 1085 86 the the DT 39713 1085 87 system system NN 39713 1085 88 , , , 39713 1085 89 or or CC 39713 1085 90 upon upon IN 39713 1085 91 its -PRON- PRP$ 39713 1085 92 absolute absolute JJ 39713 1085 93 orientation orientation NN 39713 1085 94 , , , 39713 1085 95 or or CC 39713 1085 96 upon upon IN 39713 1085 97 the the DT 39713 1085 98 velocities velocity NNS 39713 1085 99 with with IN 39713 1085 100 which which WDT 39713 1085 101 this this DT 39713 1085 102 absolute absolute JJ 39713 1085 103 position position NN 39713 1085 104 and and CC 39713 1085 105 orientation orientation NN 39713 1085 106 varied vary VBD 39713 1085 107 at at IN 39713 1085 108 the the DT 39713 1085 109 initial initial JJ 39713 1085 110 instant instant NN 39713 1085 111 . . . 39713 1086 1 Unhappily unhappily RB 39713 1086 2 the the DT 39713 1086 3 law law NN 39713 1086 4 thus thus RB 39713 1086 5 enunciated enunciate VBD 39713 1086 6 is be VBZ 39713 1086 7 not not RB 39713 1086 8 in in IN 39713 1086 9 accord accord NN 39713 1086 10 with with IN 39713 1086 11 experiments experiment NNS 39713 1086 12 , , , 39713 1086 13 at at IN 39713 1086 14 least least JJS 39713 1086 15 as as IN 39713 1086 16 they -PRON- PRP 39713 1086 17 are be VBP 39713 1086 18 ordinarily ordinarily RB 39713 1086 19 interpreted interpret VBN 39713 1086 20 . . . 39713 1087 1 Suppose suppose VB 39713 1087 2 a a DT 39713 1087 3 man man NN 39713 1087 4 be be VB 39713 1087 5 transported transport VBN 39713 1087 6 to to IN 39713 1087 7 a a DT 39713 1087 8 planet planet NN 39713 1087 9 whose whose WP$ 39713 1087 10 heavens heaven NNS 39713 1087 11 were be VBD 39713 1087 12 always always RB 39713 1087 13 covered cover VBN 39713 1087 14 with with IN 39713 1087 15 a a DT 39713 1087 16 thick thick JJ 39713 1087 17 curtain curtain NN 39713 1087 18 of of IN 39713 1087 19 clouds cloud NNS 39713 1087 20 , , , 39713 1087 21 so so IN 39713 1087 22 that that IN 39713 1087 23 he -PRON- PRP 39713 1087 24 could could MD 39713 1087 25 never never RB 39713 1087 26 see see VB 39713 1087 27 the the DT 39713 1087 28 other other JJ 39713 1087 29 stars star NNS 39713 1087 30 ; ; : 39713 1087 31 on on IN 39713 1087 32 that that DT 39713 1087 33 planet planet NN 39713 1087 34 he -PRON- PRP 39713 1087 35 would would MD 39713 1087 36 live live VB 39713 1087 37 as as IN 39713 1087 38 if if IN 39713 1087 39 it -PRON- PRP 39713 1087 40 were be VBD 39713 1087 41 isolated isolate VBN 39713 1087 42 in in IN 39713 1087 43 space space NN 39713 1087 44 . . . 39713 1088 1 Yet yet RB 39713 1088 2 this this DT 39713 1088 3 man man NN 39713 1088 4 could could MD 39713 1088 5 become become VB 39713 1088 6 aware aware JJ 39713 1088 7 that that IN 39713 1088 8 it -PRON- PRP 39713 1088 9 turned turn VBD 39713 1088 10 , , , 39713 1088 11 either either CC 39713 1088 12 by by IN 39713 1088 13 measuring measure VBG 39713 1088 14 its -PRON- PRP$ 39713 1088 15 oblateness oblateness NN 39713 1088 16 ( ( -LRB- 39713 1088 17 done do VBN 39713 1088 18 ordinarily ordinarily RB 39713 1088 19 by by IN 39713 1088 20 the the DT 39713 1088 21 aid aid NN 39713 1088 22 of of IN 39713 1088 23 astronomic astronomic JJ 39713 1088 24 observations observation NNS 39713 1088 25 , , , 39713 1088 26 but but CC 39713 1088 27 capable capable JJ 39713 1088 28 of of IN 39713 1088 29 being be VBG 39713 1088 30 done do VBN 39713 1088 31 by by IN 39713 1088 32 purely purely RB 39713 1088 33 geodetic geodetic JJ 39713 1088 34 means means NNPS 39713 1088 35 ) ) -RRB- 39713 1088 36 , , , 39713 1088 37 or or CC 39713 1088 38 by by IN 39713 1088 39 repeating repeat VBG 39713 1088 40 the the DT 39713 1088 41 experiment experiment NN 39713 1088 42 of of IN 39713 1088 43 Foucault Foucault NNP 39713 1088 44 's 's POS 39713 1088 45 pendulum pendulum NN 39713 1088 46 . . . 39713 1089 1 The the DT 39713 1089 2 absolute absolute JJ 39713 1089 3 rotation rotation NN 39713 1089 4 of of IN 39713 1089 5 this this DT 39713 1089 6 planet planet NN 39713 1089 7 could could MD 39713 1089 8 therefore therefore RB 39713 1089 9 be be VB 39713 1089 10 made make VBN 39713 1089 11 evident evident JJ 39713 1089 12 . . . 39713 1090 1 That that DT 39713 1090 2 is be VBZ 39713 1090 3 a a DT 39713 1090 4 fact fact NN 39713 1090 5 which which WDT 39713 1090 6 shocks shock VBZ 39713 1090 7 the the DT 39713 1090 8 philosopher philosopher NN 39713 1090 9 , , , 39713 1090 10 but but CC 39713 1090 11 which which WDT 39713 1090 12 the the DT 39713 1090 13 physicist physicist NN 39713 1090 14 is be VBZ 39713 1090 15 compelled compel VBN 39713 1090 16 to to TO 39713 1090 17 accept accept VB 39713 1090 18 . . . 39713 1091 1 We -PRON- PRP 39713 1091 2 know know VBP 39713 1091 3 that that IN 39713 1091 4 from from IN 39713 1091 5 this this DT 39713 1091 6 fact fact NN 39713 1091 7 Newton Newton NNP 39713 1091 8 inferred infer VBD 39713 1091 9 the the DT 39713 1091 10 existence existence NN 39713 1091 11 of of IN 39713 1091 12 absolute absolute JJ 39713 1091 13 space space NN 39713 1091 14 ; ; : 39713 1091 15 I -PRON- PRP 39713 1091 16 myself -PRON- PRP 39713 1091 17 am be VBP 39713 1091 18 quite quite RB 39713 1091 19 unable unable JJ 39713 1091 20 to to TO 39713 1091 21 adopt adopt VB 39713 1091 22 this this DT 39713 1091 23 view view NN 39713 1091 24 . . . 39713 1092 1 I -PRON- PRP 39713 1092 2 shall shall MD 39713 1092 3 explain explain VB 39713 1092 4 why why WRB 39713 1092 5 in in IN 39713 1092 6 Part Part NNP 39713 1092 7 III III NNP 39713 1092 8 . . . 39713 1093 1 For for IN 39713 1093 2 the the DT 39713 1093 3 moment moment NN 39713 1093 4 it -PRON- PRP 39713 1093 5 is be VBZ 39713 1093 6 not not RB 39713 1093 7 my -PRON- PRP$ 39713 1093 8 intention intention NN 39713 1093 9 to to TO 39713 1093 10 enter enter VB 39713 1093 11 upon upon IN 39713 1093 12 this this DT 39713 1093 13 difficulty difficulty NN 39713 1093 14 . . . 39713 1094 1 Therefore therefore RB 39713 1094 2 I -PRON- PRP 39713 1094 3 must must MD 39713 1094 4 resign resign VB 39713 1094 5 myself -PRON- PRP 39713 1094 6 , , , 39713 1094 7 in in IN 39713 1094 8 the the DT 39713 1094 9 enunciation enunciation NN 39713 1094 10 of of IN 39713 1094 11 the the DT 39713 1094 12 law law NN 39713 1094 13 of of IN 39713 1094 14 relativity relativity NN 39713 1094 15 , , , 39713 1094 16 to to IN 39713 1094 17 including include VBG 39713 1094 18 velocities velocity NNS 39713 1094 19 of of IN 39713 1094 20 every every DT 39713 1094 21 kind kind NN 39713 1094 22 among among IN 39713 1094 23 the the DT 39713 1094 24 data datum NNS 39713 1094 25 which which WDT 39713 1094 26 define define VBP 39713 1094 27 the the DT 39713 1094 28 state state NN 39713 1094 29 of of IN 39713 1094 30 the the DT 39713 1094 31 bodies body NNS 39713 1094 32 . . . 39713 1095 1 However however RB 39713 1095 2 that that DT 39713 1095 3 may may MD 39713 1095 4 be be VB 39713 1095 5 , , , 39713 1095 6 this this DT 39713 1095 7 difficulty difficulty NN 39713 1095 8 is be VBZ 39713 1095 9 the the DT 39713 1095 10 same same JJ 39713 1095 11 for for IN 39713 1095 12 Euclid Euclid NNP 39713 1095 13 's 's POS 39713 1095 14 geometry geometry NN 39713 1095 15 as as IN 39713 1095 16 for for IN 39713 1095 17 Lobachevski Lobachevski NNP 39713 1095 18 's 's POS 39713 1095 19 ; ; : 39713 1095 20 I -PRON- PRP 39713 1095 21 therefore therefore RB 39713 1095 22 need need VBP 39713 1095 23 not not RB 39713 1095 24 trouble trouble VB 39713 1095 25 myself -PRON- PRP 39713 1095 26 with with IN 39713 1095 27 it -PRON- PRP 39713 1095 28 , , , 39713 1095 29 and and CC 39713 1095 30 have have VBP 39713 1095 31 only only RB 39713 1095 32 mentioned mention VBN 39713 1095 33 it -PRON- PRP 39713 1095 34 incidentally incidentally RB 39713 1095 35 . . . 39713 1096 1 What what WP 39713 1096 2 is be VBZ 39713 1096 3 important important JJ 39713 1096 4 is be VBZ 39713 1096 5 the the DT 39713 1096 6 conclusion conclusion NN 39713 1096 7 : : : 39713 1096 8 experiment experiment NN 39713 1096 9 can can MD 39713 1096 10 not not RB 39713 1096 11 decide decide VB 39713 1096 12 between between IN 39713 1096 13 Euclid Euclid NNP 39713 1096 14 and and CC 39713 1096 15 Lobachevski Lobachevski NNP 39713 1096 16 . . . 39713 1097 1 To to TO 39713 1097 2 sum sum VB 39713 1097 3 up up RP 39713 1097 4 , , , 39713 1097 5 whichever whichever WDT 39713 1097 6 way way NN 39713 1097 7 we -PRON- PRP 39713 1097 8 look look VBP 39713 1097 9 at at IN 39713 1097 10 it -PRON- PRP 39713 1097 11 , , , 39713 1097 12 it -PRON- PRP 39713 1097 13 is be VBZ 39713 1097 14 impossible impossible JJ 39713 1097 15 to to TO 39713 1097 16 discover discover VB 39713 1097 17 in in IN 39713 1097 18 geometric geometric JJ 39713 1097 19 empiricism empiricism NN 39713 1097 20 a a DT 39713 1097 21 rational rational JJ 39713 1097 22 meaning meaning NN 39713 1097 23 . . . 39713 1098 1 6 6 CD 39713 1098 2 . . . 39713 1099 1 Experiments experiment NNS 39713 1099 2 only only RB 39713 1099 3 teach teach VBP 39713 1099 4 us -PRON- PRP 39713 1099 5 the the DT 39713 1099 6 relations relation NNS 39713 1099 7 of of IN 39713 1099 8 bodies body NNS 39713 1099 9 to to IN 39713 1099 10 one one CD 39713 1099 11 another another DT 39713 1099 12 ; ; : 39713 1099 13 none none NN 39713 1099 14 of of IN 39713 1099 15 them -PRON- PRP 39713 1099 16 bears bear VBZ 39713 1099 17 or or CC 39713 1099 18 can can MD 39713 1099 19 bear bear VB 39713 1099 20 on on IN 39713 1099 21 the the DT 39713 1099 22 relations relation NNS 39713 1099 23 of of IN 39713 1099 24 bodies body NNS 39713 1099 25 with with IN 39713 1099 26 space space NN 39713 1099 27 , , , 39713 1099 28 or or CC 39713 1099 29 on on IN 39713 1099 30 the the DT 39713 1099 31 mutual mutual JJ 39713 1099 32 relations relation NNS 39713 1099 33 of of IN 39713 1099 34 different different JJ 39713 1099 35 parts part NNS 39713 1099 36 of of IN 39713 1099 37 space space NN 39713 1099 38 . . . 39713 1100 1 " " `` 39713 1100 2 Yes yes UH 39713 1100 3 , , , 39713 1100 4 " " '' 39713 1100 5 you -PRON- PRP 39713 1100 6 reply reply VBP 39713 1100 7 , , , 39713 1100 8 " " '' 39713 1100 9 a a DT 39713 1100 10 single single JJ 39713 1100 11 experiment experiment NN 39713 1100 12 is be VBZ 39713 1100 13 insufficient insufficient JJ 39713 1100 14 , , , 39713 1100 15 because because IN 39713 1100 16 it -PRON- PRP 39713 1100 17 gives give VBZ 39713 1100 18 me -PRON- PRP 39713 1100 19 only only RB 39713 1100 20 a a DT 39713 1100 21 single single JJ 39713 1100 22 equation equation NN 39713 1100 23 with with IN 39713 1100 24 several several JJ 39713 1100 25 unknowns unknown NNS 39713 1100 26 ; ; : 39713 1100 27 but but CC 39713 1100 28 when when WRB 39713 1100 29 I -PRON- PRP 39713 1100 30 shall shall MD 39713 1100 31 have have VB 39713 1100 32 made make VBN 39713 1100 33 enough enough JJ 39713 1100 34 experiments experiment NNS 39713 1100 35 I -PRON- PRP 39713 1100 36 shall shall MD 39713 1100 37 have have VB 39713 1100 38 equations equation NNS 39713 1100 39 enough enough JJ 39713 1100 40 to to TO 39713 1100 41 calculate calculate VB 39713 1100 42 all all PDT 39713 1100 43 my -PRON- PRP$ 39713 1100 44 unknowns unknown NNS 39713 1100 45 . . . 39713 1100 46 " " '' 39713 1101 1 To to TO 39713 1101 2 know know VB 39713 1101 3 the the DT 39713 1101 4 height height NN 39713 1101 5 of of IN 39713 1101 6 the the DT 39713 1101 7 mainmast mainmast NN 39713 1101 8 does do VBZ 39713 1101 9 not not RB 39713 1101 10 suffice suffice VB 39713 1101 11 for for IN 39713 1101 12 calculating calculate VBG 39713 1101 13 the the DT 39713 1101 14 age age NN 39713 1101 15 of of IN 39713 1101 16 the the DT 39713 1101 17 captain captain NN 39713 1101 18 . . . 39713 1102 1 When when WRB 39713 1102 2 you -PRON- PRP 39713 1102 3 have have VBP 39713 1102 4 measured measure VBN 39713 1102 5 every every DT 39713 1102 6 bit bit NN 39713 1102 7 of of IN 39713 1102 8 wood wood NN 39713 1102 9 in in IN 39713 1102 10 the the DT 39713 1102 11 ship ship NN 39713 1102 12 you -PRON- PRP 39713 1102 13 will will MD 39713 1102 14 have have VB 39713 1102 15 many many JJ 39713 1102 16 equations equation NNS 39713 1102 17 , , , 39713 1102 18 but but CC 39713 1102 19 you -PRON- PRP 39713 1102 20 will will MD 39713 1102 21 know know VB 39713 1102 22 his -PRON- PRP$ 39713 1102 23 age age NN 39713 1102 24 no no RB 39713 1102 25 better better RB 39713 1102 26 . . . 39713 1103 1 All all DT 39713 1103 2 your -PRON- PRP$ 39713 1103 3 measurements measurement NNS 39713 1103 4 bearing bear VBG 39713 1103 5 only only RB 39713 1103 6 on on IN 39713 1103 7 your -PRON- PRP$ 39713 1103 8 bits bit NNS 39713 1103 9 of of IN 39713 1103 10 wood wood NN 39713 1103 11 can can MD 39713 1103 12 reveal reveal VB 39713 1103 13 to to IN 39713 1103 14 you -PRON- PRP 39713 1103 15 nothing nothing NN 39713 1103 16 except except IN 39713 1103 17 concerning concern VBG 39713 1103 18 these these DT 39713 1103 19 bits bit NNS 39713 1103 20 of of IN 39713 1103 21 wood wood NN 39713 1103 22 . . . 39713 1104 1 Just just RB 39713 1104 2 so so RB 39713 1104 3 your -PRON- PRP$ 39713 1104 4 experiments experiment NNS 39713 1104 5 , , , 39713 1104 6 however however RB 39713 1104 7 numerous numerous JJ 39713 1104 8 they -PRON- PRP 39713 1104 9 may may MD 39713 1104 10 be be VB 39713 1104 11 , , , 39713 1104 12 bearing bear VBG 39713 1104 13 only only RB 39713 1104 14 on on IN 39713 1104 15 the the DT 39713 1104 16 relations relation NNS 39713 1104 17 of of IN 39713 1104 18 bodies body NNS 39713 1104 19 to to IN 39713 1104 20 one one CD 39713 1104 21 another another DT 39713 1104 22 , , , 39713 1104 23 will will MD 39713 1104 24 reveal reveal VB 39713 1104 25 to to IN 39713 1104 26 us -PRON- PRP 39713 1104 27 nothing nothing NN 39713 1104 28 about about IN 39713 1104 29 the the DT 39713 1104 30 mutual mutual JJ 39713 1104 31 relations relation NNS 39713 1104 32 of of IN 39713 1104 33 the the DT 39713 1104 34 various various JJ 39713 1104 35 parts part NNS 39713 1104 36 of of IN 39713 1104 37 space space NN 39713 1104 38 . . . 39713 1105 1 7 7 LS 39713 1105 2 . . . 39713 1106 1 Will Will MD 39713 1106 2 you -PRON- PRP 39713 1106 3 say say VB 39713 1106 4 that that IN 39713 1106 5 if if IN 39713 1106 6 the the DT 39713 1106 7 experiments experiment NNS 39713 1106 8 bear bear VBP 39713 1106 9 on on IN 39713 1106 10 the the DT 39713 1106 11 bodies body NNS 39713 1106 12 , , , 39713 1106 13 they -PRON- PRP 39713 1106 14 bear bear VBP 39713 1106 15 at at IN 39713 1106 16 least least JJS 39713 1106 17 upon upon IN 39713 1106 18 the the DT 39713 1106 19 geometric geometric JJ 39713 1106 20 properties property NNS 39713 1106 21 of of IN 39713 1106 22 the the DT 39713 1106 23 bodies body NNS 39713 1106 24 ? ? . 39713 1107 1 But but CC 39713 1107 2 , , , 39713 1107 3 first first RB 39713 1107 4 , , , 39713 1107 5 what what WP 39713 1107 6 do do VBP 39713 1107 7 you -PRON- PRP 39713 1107 8 understand understand VB 39713 1107 9 by by IN 39713 1107 10 geometric geometric JJ 39713 1107 11 properties property NNS 39713 1107 12 of of IN 39713 1107 13 the the DT 39713 1107 14 bodies body NNS 39713 1107 15 ? ? . 39713 1108 1 I -PRON- PRP 39713 1108 2 assume assume VBP 39713 1108 3 that that IN 39713 1108 4 it -PRON- PRP 39713 1108 5 is be VBZ 39713 1108 6 a a DT 39713 1108 7 question question NN 39713 1108 8 of of IN 39713 1108 9 the the DT 39713 1108 10 relations relation NNS 39713 1108 11 of of IN 39713 1108 12 the the DT 39713 1108 13 bodies body NNS 39713 1108 14 with with IN 39713 1108 15 space space NN 39713 1108 16 ; ; : 39713 1108 17 these these DT 39713 1108 18 properties property NNS 39713 1108 19 are be VBP 39713 1108 20 therefore therefore RB 39713 1108 21 inaccessible inaccessible JJ 39713 1108 22 to to IN 39713 1108 23 experiments experiment NNS 39713 1108 24 which which WDT 39713 1108 25 bear bear VBP 39713 1108 26 only only RB 39713 1108 27 on on IN 39713 1108 28 the the DT 39713 1108 29 relations relation NNS 39713 1108 30 of of IN 39713 1108 31 the the DT 39713 1108 32 bodies body NNS 39713 1108 33 to to IN 39713 1108 34 one one CD 39713 1108 35 another another DT 39713 1108 36 . . . 39713 1109 1 This this DT 39713 1109 2 alone alone RB 39713 1109 3 would would MD 39713 1109 4 suffice suffice VB 39713 1109 5 to to TO 39713 1109 6 show show VB 39713 1109 7 that that IN 39713 1109 8 there there EX 39713 1109 9 can can MD 39713 1109 10 be be VB 39713 1109 11 no no DT 39713 1109 12 question question NN 39713 1109 13 of of IN 39713 1109 14 these these DT 39713 1109 15 properties property NNS 39713 1109 16 . . . 39713 1110 1 Still still RB 39713 1110 2 let let VB 39713 1110 3 us -PRON- PRP 39713 1110 4 begin begin VB 39713 1110 5 by by IN 39713 1110 6 coming come VBG 39713 1110 7 to to IN 39713 1110 8 an an DT 39713 1110 9 understanding understanding NN 39713 1110 10 about about IN 39713 1110 11 the the DT 39713 1110 12 sense sense NN 39713 1110 13 of of IN 39713 1110 14 the the DT 39713 1110 15 phrase phrase NN 39713 1110 16 : : : 39713 1110 17 geometric geometric JJ 39713 1110 18 properties property NNS 39713 1110 19 of of IN 39713 1110 20 bodies body NNS 39713 1110 21 . . . 39713 1111 1 When when WRB 39713 1111 2 I -PRON- PRP 39713 1111 3 say say VBP 39713 1111 4 a a DT 39713 1111 5 body body NN 39713 1111 6 is be VBZ 39713 1111 7 composed compose VBN 39713 1111 8 of of IN 39713 1111 9 several several JJ 39713 1111 10 parts part NNS 39713 1111 11 , , , 39713 1111 12 I -PRON- PRP 39713 1111 13 assume assume VBP 39713 1111 14 that that IN 39713 1111 15 I -PRON- PRP 39713 1111 16 do do VBP 39713 1111 17 not not RB 39713 1111 18 enunciate enunciate VB 39713 1111 19 therein therein RB 39713 1111 20 a a DT 39713 1111 21 geometric geometric JJ 39713 1111 22 property property NN 39713 1111 23 , , , 39713 1111 24 and and CC 39713 1111 25 this this DT 39713 1111 26 would would MD 39713 1111 27 remain remain VB 39713 1111 28 true true JJ 39713 1111 29 even even RB 39713 1111 30 if if IN 39713 1111 31 I -PRON- PRP 39713 1111 32 agreed agree VBD 39713 1111 33 to to TO 39713 1111 34 give give VB 39713 1111 35 the the DT 39713 1111 36 improper improper JJ 39713 1111 37 name name NN 39713 1111 38 of of IN 39713 1111 39 points point NNS 39713 1111 40 to to IN 39713 1111 41 the the DT 39713 1111 42 smallest small JJS 39713 1111 43 parts part NNS 39713 1111 44 I -PRON- PRP 39713 1111 45 consider consider VBP 39713 1111 46 . . . 39713 1112 1 When when WRB 39713 1112 2 I -PRON- PRP 39713 1112 3 say say VBP 39713 1112 4 that that IN 39713 1112 5 such such PDT 39713 1112 6 a a DT 39713 1112 7 part part NN 39713 1112 8 of of IN 39713 1112 9 such such PDT 39713 1112 10 a a DT 39713 1112 11 body body NN 39713 1112 12 is be VBZ 39713 1112 13 in in IN 39713 1112 14 contact contact NN 39713 1112 15 with with IN 39713 1112 16 such such PDT 39713 1112 17 a a DT 39713 1112 18 part part NN 39713 1112 19 of of IN 39713 1112 20 such such PDT 39713 1112 21 another another DT 39713 1112 22 body body NN 39713 1112 23 , , , 39713 1112 24 I -PRON- PRP 39713 1112 25 enunciate enunciate VBP 39713 1112 26 a a DT 39713 1112 27 proposition proposition NN 39713 1112 28 which which WDT 39713 1112 29 concerns concern VBZ 39713 1112 30 the the DT 39713 1112 31 mutual mutual JJ 39713 1112 32 relations relation NNS 39713 1112 33 of of IN 39713 1112 34 these these DT 39713 1112 35 two two CD 39713 1112 36 bodies body NNS 39713 1112 37 and and CC 39713 1112 38 not not RB 39713 1112 39 their -PRON- PRP$ 39713 1112 40 relations relation NNS 39713 1112 41 with with IN 39713 1112 42 space space NN 39713 1112 43 . . . 39713 1113 1 I -PRON- PRP 39713 1113 2 suppose suppose VBP 39713 1113 3 you -PRON- PRP 39713 1113 4 will will MD 39713 1113 5 grant grant VB 39713 1113 6 me -PRON- PRP 39713 1113 7 these these DT 39713 1113 8 are be VBP 39713 1113 9 not not RB 39713 1113 10 geometric geometric JJ 39713 1113 11 properties property NNS 39713 1113 12 ; ; : 39713 1113 13 at at RB 39713 1113 14 least least JJS 39713 1113 15 I -PRON- PRP 39713 1113 16 am be VBP 39713 1113 17 sure sure JJ 39713 1113 18 you -PRON- PRP 39713 1113 19 will will MD 39713 1113 20 grant grant VB 39713 1113 21 me -PRON- PRP 39713 1113 22 these these DT 39713 1113 23 properties property NNS 39713 1113 24 are be VBP 39713 1113 25 independent independent JJ 39713 1113 26 of of IN 39713 1113 27 all all DT 39713 1113 28 knowledge knowledge NN 39713 1113 29 of of IN 39713 1113 30 metric metric JJ 39713 1113 31 geometry geometry NN 39713 1113 32 . . . 39713 1114 1 This this DT 39713 1114 2 presupposed presuppose VBD 39713 1114 3 , , , 39713 1114 4 I -PRON- PRP 39713 1114 5 imagine imagine VBP 39713 1114 6 that that IN 39713 1114 7 we -PRON- PRP 39713 1114 8 have have VBP 39713 1114 9 a a DT 39713 1114 10 solid solid JJ 39713 1114 11 body body NN 39713 1114 12 formed form VBN 39713 1114 13 of of IN 39713 1114 14 eight eight CD 39713 1114 15 slender slend JJR 39713 1114 16 iron iron NN 39713 1114 17 rods rod NNS 39713 1114 18 , , , 39713 1114 19 _ _ NNP 39713 1114 20 OA OA NNP 39713 1114 21 _ _ NNP 39713 1114 22 , , , 39713 1114 23 _ _ NNP 39713 1114 24 OB OB NNP 39713 1114 25 _ _ NNP 39713 1114 26 , , , 39713 1114 27 _ _ NNP 39713 1114 28 OC OC NNP 39713 1114 29 _ _ NNP 39713 1114 30 , , , 39713 1114 31 _ _ NNP 39713 1114 32 OD OD NNP 39713 1114 33 _ _ NNP 39713 1114 34 , , , 39713 1114 35 _ _ NNP 39713 1114 36 OE OE NNP 39713 1114 37 _ _ NNP 39713 1114 38 , , , 39713 1114 39 _ _ NNP 39713 1114 40 OF of IN 39713 1114 41 _ _ NNP 39713 1114 42 , , , 39713 1114 43 _ _ NNP 39713 1114 44 OG OG NNP 39713 1114 45 _ _ NNP 39713 1114 46 , , , 39713 1114 47 _ _ NNP 39713 1114 48 OH OH NNP 39713 1114 49 _ _ NNP 39713 1114 50 , , , 39713 1114 51 united united NNP 39713 1114 52 at at IN 39713 1114 53 one one CD 39713 1114 54 of of IN 39713 1114 55 their -PRON- PRP$ 39713 1114 56 extremities extremity NNS 39713 1114 57 _ _ NNP 39713 1114 58 O O NNP 39713 1114 59 _ _ NNP 39713 1114 60 . . . 39713 1115 1 Let let VB 39713 1115 2 us -PRON- PRP 39713 1115 3 besides besides RB 39713 1115 4 have have VB 39713 1115 5 a a DT 39713 1115 6 second second JJ 39713 1115 7 solid solid JJ 39713 1115 8 body body NN 39713 1115 9 , , , 39713 1115 10 for for IN 39713 1115 11 example example NN 39713 1115 12 a a DT 39713 1115 13 bit bit NN 39713 1115 14 of of IN 39713 1115 15 wood wood NN 39713 1115 16 , , , 39713 1115 17 to to TO 39713 1115 18 be be VB 39713 1115 19 marked mark VBN 39713 1115 20 with with IN 39713 1115 21 three three CD 39713 1115 22 little little JJ 39713 1115 23 flecks fleck NNS 39713 1115 24 of of IN 39713 1115 25 ink ink NN 39713 1115 26 which which WDT 39713 1115 27 I -PRON- PRP 39713 1115 28 shall shall MD 39713 1115 29 call call VB 39713 1115 30 [ [ -LRB- 39713 1115 31 alpha alpha NN 39713 1115 32 ] ] -RRB- 39713 1115 33 , , , 39713 1115 34 [ [ -LRB- 39713 1115 35 beta beta NN 39713 1115 36 ] ] -RRB- 39713 1115 37 , , , 39713 1115 38 [ [ -LRB- 39713 1115 39 gamma gamma NN 39713 1115 40 ] ] -RRB- 39713 1115 41 . . . 39713 1116 1 I -PRON- PRP 39713 1116 2 further further RB 39713 1116 3 suppose suppose VBP 39713 1116 4 it -PRON- PRP 39713 1116 5 ascertained ascertain VBD 39713 1116 6 that that IN 39713 1116 7 [ [ -LRB- 39713 1116 8 alpha][beta][gamma alpha][beta][gamma NN 39713 1116 9 ] ] -RRB- 39713 1116 10 may may MD 39713 1116 11 be be VB 39713 1116 12 brought bring VBN 39713 1116 13 into into IN 39713 1116 14 contact contact NN 39713 1116 15 with with IN 39713 1116 16 _ _ NNP 39713 1116 17 AGO AGO NNP 39713 1116 18 _ _ NNP 39713 1116 19 ( ( -LRB- 39713 1116 20 I -PRON- PRP 39713 1116 21 mean mean VBP 39713 1116 22 [ [ -LRB- 39713 1116 23 alpha alpha NN 39713 1116 24 ] ] -RRB- 39713 1116 25 with with IN 39713 1116 26 _ _ NNP 39713 1116 27 A A NNP 39713 1116 28 _ _ NNP 39713 1116 29 , , , 39713 1116 30 and and CC 39713 1116 31 at at IN 39713 1116 32 the the DT 39713 1116 33 same same JJ 39713 1116 34 time time NN 39713 1116 35 [ [ -LRB- 39713 1116 36 beta beta NN 39713 1116 37 ] ] -RRB- 39713 1116 38 with with IN 39713 1116 39 _ _ NNP 39713 1116 40 G G NNP 39713 1116 41 _ _ NNP 39713 1116 42 and and CC 39713 1116 43 [ [ -LRB- 39713 1116 44 gamma gamma NN 39713 1116 45 ] ] -RRB- 39713 1116 46 with with IN 39713 1116 47 _ _ NNP 39713 1116 48 O O NNP 39713 1116 49 _ _ NNP 39713 1116 50 ) ) -RRB- 39713 1116 51 , , , 39713 1116 52 then then RB 39713 1116 53 that that IN 39713 1116 54 we -PRON- PRP 39713 1116 55 may may MD 39713 1116 56 bring bring VB 39713 1116 57 successively successively RB 39713 1116 58 into into IN 39713 1116 59 contact contact NN 39713 1116 60 [ [ -LRB- 39713 1116 61 alpha][beta][gamma alpha][beta][gamma NN 39713 1116 62 ] ] -RRB- 39713 1116 63 with with IN 39713 1116 64 _ _ NNP 39713 1116 65 BGO BGO NNP 39713 1116 66 _ _ NNP 39713 1116 67 , , , 39713 1116 68 _ _ NNP 39713 1116 69 CGO CGO NNP 39713 1116 70 _ _ NNP 39713 1116 71 , , , 39713 1116 72 _ _ NNP 39713 1116 73 DGO DGO NNP 39713 1116 74 _ _ NNP 39713 1116 75 , , , 39713 1116 76 _ _ NNP 39713 1116 77 EGO EGO NNP 39713 1116 78 _ _ NNP 39713 1116 79 , , , 39713 1116 80 _ _ NNP 39713 1116 81 FGO FGO NNP 39713 1116 82 _ _ NNP 39713 1116 83 , , , 39713 1116 84 then then RB 39713 1116 85 with with IN 39713 1116 86 _ _ NNP 39713 1116 87 AHO AHO NNP 39713 1116 88 _ _ NNP 39713 1116 89 , , , 39713 1116 90 _ _ NNP 39713 1116 91 BHO BHO NNP 39713 1116 92 _ _ NNP 39713 1116 93 , , , 39713 1116 94 _ _ NNP 39713 1116 95 CHO CHO NNP 39713 1116 96 _ _ NNP 39713 1116 97 , , , 39713 1116 98 _ _ NNP 39713 1116 99 DHO DHO NNP 39713 1116 100 _ _ NNP 39713 1116 101 , , , 39713 1116 102 _ _ NNP 39713 1116 103 EHO EHO NNP 39713 1116 104 _ _ NNP 39713 1116 105 , , , 39713 1116 106 _ _ NNP 39713 1116 107 FHO FHO NNP 39713 1116 108 _ _ NNP 39713 1116 109 , , , 39713 1116 110 then then RB 39713 1116 111 [ [ -LRB- 39713 1116 112 alpha][gamma alpha][gamma NNP 39713 1116 113 ] ] -RRB- 39713 1116 114 successively successively RB 39713 1116 115 with with IN 39713 1116 116 _ _ NNP 39713 1116 117 AB AB NNP 39713 1116 118 _ _ NNP 39713 1116 119 , , , 39713 1116 120 _ _ NNP 39713 1116 121 BC BC NNP 39713 1116 122 _ _ NNP 39713 1116 123 , , , 39713 1116 124 _ _ NNP 39713 1116 125 CD CD NNP 39713 1116 126 _ _ NNP 39713 1116 127 , , , 39713 1116 128 _ _ NNP 39713 1116 129 DE DE NNP 39713 1116 130 _ _ NNP 39713 1116 131 , , , 39713 1116 132 _ _ NNP 39713 1116 133 EF EF NNP 39713 1116 134 _ _ NNP 39713 1116 135 , , , 39713 1116 136 _ _ NNP 39713 1116 137 FA FA NNP 39713 1116 138 _ _ NNP 39713 1116 139 . . . 39713 1117 1 These these DT 39713 1117 2 are be VBP 39713 1117 3 determinations determination NNS 39713 1117 4 we -PRON- PRP 39713 1117 5 may may MD 39713 1117 6 make make VB 39713 1117 7 without without IN 39713 1117 8 having have VBG 39713 1117 9 in in IN 39713 1117 10 advance advance NN 39713 1117 11 any any DT 39713 1117 12 notion notion NN 39713 1117 13 about about IN 39713 1117 14 form form NN 39713 1117 15 or or CC 39713 1117 16 about about IN 39713 1117 17 the the DT 39713 1117 18 metric metric JJ 39713 1117 19 properties property NNS 39713 1117 20 of of IN 39713 1117 21 space space NN 39713 1117 22 . . . 39713 1118 1 They -PRON- PRP 39713 1118 2 in in IN 39713 1118 3 no no DT 39713 1118 4 wise wise JJ 39713 1118 5 bear bear NN 39713 1118 6 on on IN 39713 1118 7 the the DT 39713 1118 8 ' ' `` 39713 1118 9 geometric geometric JJ 39713 1118 10 properties property NNS 39713 1118 11 of of IN 39713 1118 12 bodies body NNS 39713 1118 13 . . . 39713 1118 14 ' ' '' 39713 1119 1 And and CC 39713 1119 2 these these DT 39713 1119 3 determinations determination NNS 39713 1119 4 will will MD 39713 1119 5 not not RB 39713 1119 6 be be VB 39713 1119 7 possible possible JJ 39713 1119 8 if if IN 39713 1119 9 the the DT 39713 1119 10 bodies body NNS 39713 1119 11 experimented experiment VBN 39713 1119 12 upon upon IN 39713 1119 13 move move NN 39713 1119 14 in in IN 39713 1119 15 accordance accordance NN 39713 1119 16 with with IN 39713 1119 17 a a DT 39713 1119 18 group group NN 39713 1119 19 having have VBG 39713 1119 20 the the DT 39713 1119 21 same same JJ 39713 1119 22 structure structure NN 39713 1119 23 as as IN 39713 1119 24 the the DT 39713 1119 25 Lobachevskian lobachevskian JJ 39713 1119 26 group group NN 39713 1119 27 ( ( -LRB- 39713 1119 28 I -PRON- PRP 39713 1119 29 mean mean VBP 39713 1119 30 according accord VBG 39713 1119 31 to to IN 39713 1119 32 the the DT 39713 1119 33 same same JJ 39713 1119 34 laws law NNS 39713 1119 35 as as IN 39713 1119 36 solid solid JJ 39713 1119 37 bodies body NNS 39713 1119 38 in in IN 39713 1119 39 Lobachevski Lobachevski NNP 39713 1119 40 's 's POS 39713 1119 41 geometry geometry NN 39713 1119 42 ) ) -RRB- 39713 1119 43 . . . 39713 1120 1 They -PRON- PRP 39713 1120 2 suffice suffice VBP 39713 1120 3 therefore therefore RB 39713 1120 4 to to TO 39713 1120 5 prove prove VB 39713 1120 6 that that IN 39713 1120 7 these these DT 39713 1120 8 bodies body NNS 39713 1120 9 move move VBP 39713 1120 10 in in IN 39713 1120 11 accordance accordance NN 39713 1120 12 with with IN 39713 1120 13 the the DT 39713 1120 14 Euclidean euclidean JJ 39713 1120 15 group group NN 39713 1120 16 , , , 39713 1120 17 or or CC 39713 1120 18 at at IN 39713 1120 19 least least JJS 39713 1120 20 that that IN 39713 1120 21 they -PRON- PRP 39713 1120 22 do do VBP 39713 1120 23 not not RB 39713 1120 24 move move VB 39713 1120 25 according accord VBG 39713 1120 26 to to IN 39713 1120 27 the the DT 39713 1120 28 Lobachevskian lobachevskian JJ 39713 1120 29 group group NN 39713 1120 30 . . . 39713 1121 1 That that IN 39713 1121 2 they -PRON- PRP 39713 1121 3 are be VBP 39713 1121 4 compatible compatible JJ 39713 1121 5 with with IN 39713 1121 6 the the DT 39713 1121 7 Euclidean euclidean JJ 39713 1121 8 group group NN 39713 1121 9 is be VBZ 39713 1121 10 easy easy JJ 39713 1121 11 to to TO 39713 1121 12 see see VB 39713 1121 13 . . . 39713 1122 1 For for IN 39713 1122 2 they -PRON- PRP 39713 1122 3 could could MD 39713 1122 4 be be VB 39713 1122 5 made make VBN 39713 1122 6 if if IN 39713 1122 7 the the DT 39713 1122 8 body body NN 39713 1122 9 [ [ -LRB- 39713 1122 10 alpha][beta][gamma alpha][beta][gamma NN 39713 1122 11 ] ] -RRB- 39713 1122 12 was be VBD 39713 1122 13 a a DT 39713 1122 14 rigid rigid JJ 39713 1122 15 solid solid NN 39713 1122 16 of of IN 39713 1122 17 our -PRON- PRP$ 39713 1122 18 ordinary ordinary JJ 39713 1122 19 geometry geometry NN 39713 1122 20 presenting present VBG 39713 1122 21 the the DT 39713 1122 22 form form NN 39713 1122 23 of of IN 39713 1122 24 a a DT 39713 1122 25 right right RB 39713 1122 26 - - HYPH 39713 1122 27 angled angle VBN 39713 1122 28 triangle triangle NN 39713 1122 29 , , , 39713 1122 30 and and CC 39713 1122 31 if if IN 39713 1122 32 the the DT 39713 1122 33 points point NNS 39713 1122 34 _ _ NNP 39713 1122 35 ABCDEFGH ABCDEFGH NNP 39713 1122 36 _ _ NNP 39713 1122 37 were be VBD 39713 1122 38 the the DT 39713 1122 39 summits summit NNS 39713 1122 40 of of IN 39713 1122 41 a a DT 39713 1122 42 polyhedron polyhedron NN 39713 1122 43 formed form VBN 39713 1122 44 of of IN 39713 1122 45 two two CD 39713 1122 46 regular regular JJ 39713 1122 47 hexagonal hexagonal JJ 39713 1122 48 pyramids pyramid NNS 39713 1122 49 of of IN 39713 1122 50 our -PRON- PRP$ 39713 1122 51 ordinary ordinary JJ 39713 1122 52 geometry geometry NN 39713 1122 53 , , , 39713 1122 54 having have VBG 39713 1122 55 for for IN 39713 1122 56 common common JJ 39713 1122 57 base base NN 39713 1122 58 _ _ NNP 39713 1122 59 ABCDEF ABCDEF NNP 39713 1122 60 _ _ NNP 39713 1122 61 and and CC 39713 1122 62 for for IN 39713 1122 63 apices apex NNS 39713 1122 64 the the DT 39713 1122 65 one one CD 39713 1122 66 _ _ NNP 39713 1122 67 G G NNP 39713 1122 68 _ _ NNP 39713 1122 69 and and CC 39713 1122 70 the the DT 39713 1122 71 other other JJ 39713 1122 72 _ _ NNP 39713 1122 73 H H NNP 39713 1122 74 _ _ NNP 39713 1122 75 . . . 39713 1123 1 Suppose suppose VB 39713 1123 2 now now RB 39713 1123 3 that that IN 39713 1123 4 in in IN 39713 1123 5 place place NN 39713 1123 6 of of IN 39713 1123 7 the the DT 39713 1123 8 preceding precede VBG 39713 1123 9 determination determination NN 39713 1123 10 it -PRON- PRP 39713 1123 11 is be VBZ 39713 1123 12 observed observe VBN 39713 1123 13 that that IN 39713 1123 14 as as IN 39713 1123 15 above above RB 39713 1123 16 [ [ -LRB- 39713 1123 17 alpha][beta][gamma alpha][beta][gamma NN 39713 1123 18 ] ] -RRB- 39713 1123 19 can can MD 39713 1123 20 be be VB 39713 1123 21 successively successively RB 39713 1123 22 applied apply VBN 39713 1123 23 to to IN 39713 1123 24 _ _ NNP 39713 1123 25 AGO AGO NNP 39713 1123 26 _ _ NNP 39713 1123 27 , , , 39713 1123 28 _ _ NNP 39713 1123 29 BGO BGO NNP 39713 1123 30 _ _ NNP 39713 1123 31 , , , 39713 1123 32 _ _ NNP 39713 1123 33 CGO CGO NNP 39713 1123 34 _ _ NNP 39713 1123 35 , , , 39713 1123 36 _ _ NNP 39713 1123 37 DGO DGO NNP 39713 1123 38 _ _ NNP 39713 1123 39 , , , 39713 1123 40 _ _ NNP 39713 1123 41 EGO EGO NNP 39713 1123 42 _ _ NNP 39713 1123 43 , , , 39713 1123 44 _ _ NNP 39713 1123 45 AHO AHO NNP 39713 1123 46 _ _ NNP 39713 1123 47 , , , 39713 1123 48 _ _ NNP 39713 1123 49 BHO BHO NNP 39713 1123 50 _ _ NNP 39713 1123 51 , , , 39713 1123 52 _ _ NNP 39713 1123 53 CHO CHO NNP 39713 1123 54 _ _ NNP 39713 1123 55 , , , 39713 1123 56 _ _ NNP 39713 1123 57 DHO DHO NNP 39713 1123 58 _ _ NNP 39713 1123 59 , , , 39713 1123 60 _ _ NNP 39713 1123 61 EHO EHO NNP 39713 1123 62 _ _ NNP 39713 1123 63 , , , 39713 1123 64 _ _ NNP 39713 1123 65 FHO FHO NNP 39713 1123 66 _ _ NNP 39713 1123 67 , , , 39713 1123 68 then then RB 39713 1123 69 that that IN 39713 1123 70 [ [ -LRB- 39713 1123 71 alpha][beta alpha][beta NNP 39713 1123 72 ] ] -RRB- 39713 1123 73 ( ( -LRB- 39713 1123 74 and and CC 39713 1123 75 no no RB 39713 1123 76 longer longer RB 39713 1123 77 [ [ -LRB- 39713 1123 78 alpha][gamma alpha][gamma NNP 39713 1123 79 ] ] -RRB- 39713 1123 80 ) ) -RRB- 39713 1123 81 can can MD 39713 1123 82 be be VB 39713 1123 83 successively successively RB 39713 1123 84 applied apply VBN 39713 1123 85 to to IN 39713 1123 86 _ _ NNP 39713 1123 87 AB AB NNP 39713 1123 88 _ _ NNP 39713 1123 89 , , , 39713 1123 90 _ _ NNP 39713 1123 91 BC BC NNP 39713 1123 92 _ _ NNP 39713 1123 93 , , , 39713 1123 94 _ _ NNP 39713 1123 95 CD CD NNP 39713 1123 96 _ _ NNP 39713 1123 97 , , , 39713 1123 98 _ _ NNP 39713 1123 99 DE DE NNP 39713 1123 100 _ _ NNP 39713 1123 101 , , , 39713 1123 102 _ _ NNP 39713 1123 103 EF EF NNP 39713 1123 104 _ _ NNP 39713 1123 105 and and CC 39713 1123 106 _ _ NNP 39713 1123 107 FA FA NNP 39713 1123 108 _ _ NNP 39713 1123 109 . . . 39713 1124 1 These these DT 39713 1124 2 are be VBP 39713 1124 3 determinations determination NNS 39713 1124 4 which which WDT 39713 1124 5 could could MD 39713 1124 6 be be VB 39713 1124 7 made make VBN 39713 1124 8 if if IN 39713 1124 9 non non JJ 39713 1124 10 - - JJ 39713 1124 11 Euclidean euclidean JJ 39713 1124 12 geometry geometry NN 39713 1124 13 were be VBD 39713 1124 14 true true JJ 39713 1124 15 , , , 39713 1124 16 if if IN 39713 1124 17 the the DT 39713 1124 18 bodies body NNS 39713 1124 19 [ [ -LRB- 39713 1124 20 alpha][beta][gamma alpha][beta][gamma UH 39713 1124 21 ] ] -RRB- 39713 1124 22 and and CC 39713 1124 23 _ _ NNP 39713 1124 24 OABCDEFGH OABCDEFGH NNP 39713 1124 25 _ _ NNP 39713 1124 26 were be VBD 39713 1124 27 rigid rigid JJ 39713 1124 28 solids solid NNS 39713 1124 29 , , , 39713 1124 30 and and CC 39713 1124 31 if if IN 39713 1124 32 the the DT 39713 1124 33 first first JJ 39713 1124 34 were be VBD 39713 1124 35 a a DT 39713 1124 36 right right RB 39713 1124 37 - - HYPH 39713 1124 38 angled angle VBN 39713 1124 39 triangle triangle NN 39713 1124 40 and and CC 39713 1124 41 the the DT 39713 1124 42 second second JJ 39713 1124 43 a a DT 39713 1124 44 double double JJ 39713 1124 45 regular regular JJ 39713 1124 46 hexagonal hexagonal JJ 39713 1124 47 pyramid pyramid NN 39713 1124 48 of of IN 39713 1124 49 suitable suitable JJ 39713 1124 50 dimensions dimension NNS 39713 1124 51 . . . 39713 1125 1 Therefore therefore RB 39713 1125 2 these these DT 39713 1125 3 new new JJ 39713 1125 4 determinations determination NNS 39713 1125 5 are be VBP 39713 1125 6 not not RB 39713 1125 7 possible possible JJ 39713 1125 8 if if IN 39713 1125 9 the the DT 39713 1125 10 bodies body NNS 39713 1125 11 move move VBP 39713 1125 12 according accord VBG 39713 1125 13 to to IN 39713 1125 14 the the DT 39713 1125 15 Euclidean euclidean JJ 39713 1125 16 group group NN 39713 1125 17 ; ; : 39713 1125 18 but but CC 39713 1125 19 they -PRON- PRP 39713 1125 20 become become VBP 39713 1125 21 so so IN 39713 1125 22 if if IN 39713 1125 23 it -PRON- PRP 39713 1125 24 be be VB 39713 1125 25 supposed suppose VBN 39713 1125 26 that that IN 39713 1125 27 the the DT 39713 1125 28 bodies body NNS 39713 1125 29 move move VBP 39713 1125 30 according accord VBG 39713 1125 31 to to IN 39713 1125 32 the the DT 39713 1125 33 Lobachevskian lobachevskian JJ 39713 1125 34 group group NN 39713 1125 35 . . . 39713 1126 1 They -PRON- PRP 39713 1126 2 would would MD 39713 1126 3 suffice suffice VB 39713 1126 4 , , , 39713 1126 5 therefore therefore RB 39713 1126 6 ( ( -LRB- 39713 1126 7 if if IN 39713 1126 8 one one CD 39713 1126 9 made make VBD 39713 1126 10 them -PRON- PRP 39713 1126 11 ) ) -RRB- 39713 1126 12 , , , 39713 1126 13 to to TO 39713 1126 14 prove prove VB 39713 1126 15 that that IN 39713 1126 16 the the DT 39713 1126 17 bodies body NNS 39713 1126 18 in in IN 39713 1126 19 question question NN 39713 1126 20 do do VBP 39713 1126 21 not not RB 39713 1126 22 move move VB 39713 1126 23 according accord VBG 39713 1126 24 to to IN 39713 1126 25 the the DT 39713 1126 26 Euclidean euclidean JJ 39713 1126 27 group group NN 39713 1126 28 . . . 39713 1127 1 Thus thus RB 39713 1127 2 , , , 39713 1127 3 without without IN 39713 1127 4 making make VBG 39713 1127 5 any any DT 39713 1127 6 hypothesis hypothesis NN 39713 1127 7 about about IN 39713 1127 8 form form NN 39713 1127 9 , , , 39713 1127 10 about about IN 39713 1127 11 the the DT 39713 1127 12 nature nature NN 39713 1127 13 of of IN 39713 1127 14 space space NN 39713 1127 15 , , , 39713 1127 16 about about IN 39713 1127 17 the the DT 39713 1127 18 relations relation NNS 39713 1127 19 of of IN 39713 1127 20 bodies body NNS 39713 1127 21 to to IN 39713 1127 22 space space NN 39713 1127 23 , , , 39713 1127 24 and and CC 39713 1127 25 without without IN 39713 1127 26 attributing attribute VBG 39713 1127 27 to to IN 39713 1127 28 bodies body NNS 39713 1127 29 any any DT 39713 1127 30 geometric geometric JJ 39713 1127 31 property property NN 39713 1127 32 , , , 39713 1127 33 I -PRON- PRP 39713 1127 34 have have VBP 39713 1127 35 made make VBN 39713 1127 36 observations observation NNS 39713 1127 37 which which WDT 39713 1127 38 have have VBP 39713 1127 39 enabled enable VBN 39713 1127 40 me -PRON- PRP 39713 1127 41 to to TO 39713 1127 42 show show VB 39713 1127 43 in in IN 39713 1127 44 one one CD 39713 1127 45 case case NN 39713 1127 46 that that IN 39713 1127 47 the the DT 39713 1127 48 bodies body NNS 39713 1127 49 experimented experiment VBN 39713 1127 50 upon upon IN 39713 1127 51 move move NN 39713 1127 52 according accord VBG 39713 1127 53 to to IN 39713 1127 54 a a DT 39713 1127 55 group group NN 39713 1127 56 whose whose WP$ 39713 1127 57 structure structure NN 39713 1127 58 is be VBZ 39713 1127 59 Euclidean euclidean JJ 39713 1127 60 , , , 39713 1127 61 in in IN 39713 1127 62 the the DT 39713 1127 63 other other JJ 39713 1127 64 case case NN 39713 1127 65 that that WDT 39713 1127 66 they -PRON- PRP 39713 1127 67 move move VBP 39713 1127 68 according accord VBG 39713 1127 69 to to IN 39713 1127 70 a a DT 39713 1127 71 group group NN 39713 1127 72 whose whose WP$ 39713 1127 73 structure structure NN 39713 1127 74 is be VBZ 39713 1127 75 Lobachevskian lobachevskian JJ 39713 1127 76 . . . 39713 1128 1 And and CC 39713 1128 2 one one PRP 39713 1128 3 may may MD 39713 1128 4 not not RB 39713 1128 5 say say VB 39713 1128 6 that that IN 39713 1128 7 the the DT 39713 1128 8 first first JJ 39713 1128 9 aggregate aggregate NN 39713 1128 10 of of IN 39713 1128 11 determinations determination NNS 39713 1128 12 would would MD 39713 1128 13 constitute constitute VB 39713 1128 14 an an DT 39713 1128 15 experiment experiment NN 39713 1128 16 proving prove VBG 39713 1128 17 that that DT 39713 1128 18 space space NN 39713 1128 19 is be VBZ 39713 1128 20 Euclidean euclidean JJ 39713 1128 21 , , , 39713 1128 22 and and CC 39713 1128 23 the the DT 39713 1128 24 second second JJ 39713 1128 25 an an DT 39713 1128 26 experiment experiment NN 39713 1128 27 proving prove VBG 39713 1128 28 that that DT 39713 1128 29 space space NN 39713 1128 30 is be VBZ 39713 1128 31 non non JJ 39713 1128 32 - - JJ 39713 1128 33 Euclidean euclidean JJ 39713 1128 34 . . . 39713 1129 1 In in IN 39713 1129 2 fact fact NN 39713 1129 3 one one PRP 39713 1129 4 could could MD 39713 1129 5 imagine imagine VB 39713 1129 6 ( ( -LRB- 39713 1129 7 I -PRON- PRP 39713 1129 8 say say VBP 39713 1129 9 imagine imagine VB 39713 1129 10 ) ) -RRB- 39713 1129 11 bodies body NNS 39713 1129 12 moving move VBG 39713 1129 13 so so IN 39713 1129 14 as as IN 39713 1129 15 to to TO 39713 1129 16 render render VB 39713 1129 17 possible possible JJ 39713 1129 18 the the DT 39713 1129 19 second second JJ 39713 1129 20 series series NN 39713 1129 21 of of IN 39713 1129 22 determinations determination NNS 39713 1129 23 . . . 39713 1130 1 And and CC 39713 1130 2 the the DT 39713 1130 3 proof proof NN 39713 1130 4 is be VBZ 39713 1130 5 that that IN 39713 1130 6 the the DT 39713 1130 7 first first JJ 39713 1130 8 mechanician mechanician NNP 39713 1130 9 met meet VBD 39713 1130 10 could could MD 39713 1130 11 construct construct VB 39713 1130 12 such such JJ 39713 1130 13 bodies body NNS 39713 1130 14 if if IN 39713 1130 15 he -PRON- PRP 39713 1130 16 cared care VBD 39713 1130 17 to to TO 39713 1130 18 take take VB 39713 1130 19 the the DT 39713 1130 20 pains pain NNS 39713 1130 21 and and CC 39713 1130 22 make make VB 39713 1130 23 the the DT 39713 1130 24 outlay outlay NN 39713 1130 25 . . . 39713 1131 1 You -PRON- PRP 39713 1131 2 will will MD 39713 1131 3 not not RB 39713 1131 4 conclude conclude VB 39713 1131 5 from from IN 39713 1131 6 that that DT 39713 1131 7 , , , 39713 1131 8 however however RB 39713 1131 9 , , , 39713 1131 10 that that DT 39713 1131 11 space space NN 39713 1131 12 is be VBZ 39713 1131 13 non non JJ 39713 1131 14 - - JJ 39713 1131 15 Euclidean euclidean JJ 39713 1131 16 . . . 39713 1132 1 Nay nay UH 39713 1132 2 , , , 39713 1132 3 since since IN 39713 1132 4 the the DT 39713 1132 5 ordinary ordinary JJ 39713 1132 6 solid solid JJ 39713 1132 7 bodies body NNS 39713 1132 8 would would MD 39713 1132 9 continue continue VB 39713 1132 10 to to TO 39713 1132 11 exist exist VB 39713 1132 12 when when WRB 39713 1132 13 the the DT 39713 1132 14 mechanician mechanician NN 39713 1132 15 had have VBD 39713 1132 16 constructed construct VBN 39713 1132 17 the the DT 39713 1132 18 strange strange JJ 39713 1132 19 bodies body NNS 39713 1132 20 of of IN 39713 1132 21 which which WDT 39713 1132 22 I -PRON- PRP 39713 1132 23 have have VBP 39713 1132 24 just just RB 39713 1132 25 spoken speak VBN 39713 1132 26 , , , 39713 1132 27 it -PRON- PRP 39713 1132 28 would would MD 39713 1132 29 be be VB 39713 1132 30 necessary necessary JJ 39713 1132 31 to to TO 39713 1132 32 conclude conclude VB 39713 1132 33 that that DT 39713 1132 34 space space NN 39713 1132 35 is be VBZ 39713 1132 36 at at IN 39713 1132 37 the the DT 39713 1132 38 same same JJ 39713 1132 39 time time NN 39713 1132 40 Euclidean euclidean JJ 39713 1132 41 and and CC 39713 1132 42 non non JJ 39713 1132 43 - - JJ 39713 1132 44 Euclidean euclidean JJ 39713 1132 45 . . . 39713 1133 1 Suppose suppose VB 39713 1133 2 , , , 39713 1133 3 for for IN 39713 1133 4 example example NN 39713 1133 5 , , , 39713 1133 6 that that IN 39713 1133 7 we -PRON- PRP 39713 1133 8 have have VBP 39713 1133 9 a a DT 39713 1133 10 great great JJ 39713 1133 11 sphere sphere NN 39713 1133 12 of of IN 39713 1133 13 radius radius NN 39713 1133 14 _ _ NNP 39713 1133 15 R R NNP 39713 1133 16 _ _ NNP 39713 1133 17 and and CC 39713 1133 18 that that IN 39713 1133 19 the the DT 39713 1133 20 temperature temperature NN 39713 1133 21 decreases decrease VBZ 39713 1133 22 from from IN 39713 1133 23 the the DT 39713 1133 24 center center NN 39713 1133 25 to to IN 39713 1133 26 the the DT 39713 1133 27 surface surface NN 39713 1133 28 of of IN 39713 1133 29 this this DT 39713 1133 30 sphere sphere NN 39713 1133 31 according accord VBG 39713 1133 32 to to IN 39713 1133 33 the the DT 39713 1133 34 law law NN 39713 1133 35 of of IN 39713 1133 36 which which WDT 39713 1133 37 I -PRON- PRP 39713 1133 38 have have VBP 39713 1133 39 spoken speak VBN 39713 1133 40 in in IN 39713 1133 41 describing describe VBG 39713 1133 42 the the DT 39713 1133 43 non non JJ 39713 1133 44 - - JJ 39713 1133 45 Euclidean euclidean JJ 39713 1133 46 world world NN 39713 1133 47 . . . 39713 1134 1 We -PRON- PRP 39713 1134 2 might may MD 39713 1134 3 have have VB 39713 1134 4 bodies body NNS 39713 1134 5 whose whose WP$ 39713 1134 6 expansion expansion NN 39713 1134 7 would would MD 39713 1134 8 be be VB 39713 1134 9 negligible negligible JJ 39713 1134 10 and and CC 39713 1134 11 which which WDT 39713 1134 12 would would MD 39713 1134 13 act act VB 39713 1134 14 like like IN 39713 1134 15 ordinary ordinary JJ 39713 1134 16 rigid rigid JJ 39713 1134 17 solids solid NNS 39713 1134 18 ; ; , 39713 1134 19 and and CC 39713 1134 20 , , , 39713 1134 21 on on IN 39713 1134 22 the the DT 39713 1134 23 other other JJ 39713 1134 24 hand hand NN 39713 1134 25 , , , 39713 1134 26 bodies body NNS 39713 1134 27 very very RB 39713 1134 28 dilatable dilatable JJ 39713 1134 29 and and CC 39713 1134 30 which which WDT 39713 1134 31 would would MD 39713 1134 32 act act VB 39713 1134 33 like like IN 39713 1134 34 non non JJ 39713 1134 35 - - JJ 39713 1134 36 Euclidean euclidean JJ 39713 1134 37 solids solid NNS 39713 1134 38 . . . 39713 1135 1 We -PRON- PRP 39713 1135 2 might may MD 39713 1135 3 have have VB 39713 1135 4 two two CD 39713 1135 5 double double JJ 39713 1135 6 pyramids pyramid NNS 39713 1135 7 _ _ NNP 39713 1135 8 OABCDEFGH OABCDEFGH NNP 39713 1135 9 _ _ NNP 39713 1135 10 and and CC 39713 1135 11 _ _ NNP 39713 1135 12 O'A'B'C'D'E'F'G'H O'A'B'C'D'E'F'G'H NNP 39713 1135 13 ' ' `` 39713 1135 14 _ _ NNP 39713 1135 15 and and CC 39713 1135 16 two two CD 39713 1135 17 triangles triangle NNS 39713 1135 18 [ [ -LRB- 39713 1135 19 alpha][beta][gamma alpha][beta][gamma NN 39713 1135 20 ] ] -RRB- 39713 1135 21 and and CC 39713 1135 22 [ [ -LRB- 39713 1135 23 alpha]'[beta]'[gamma alpha]'[beta]'[gamma JJ 39713 1135 24 ] ] -RRB- 39713 1135 25 ' ' '' 39713 1135 26 . . . 39713 1136 1 The the DT 39713 1136 2 first first JJ 39713 1136 3 double double JJ 39713 1136 4 pyramid pyramid NN 39713 1136 5 might may MD 39713 1136 6 be be VB 39713 1136 7 rectilinear rectilinear JJ 39713 1136 8 and and CC 39713 1136 9 the the DT 39713 1136 10 second second JJ 39713 1136 11 curvilinear curvilinear NN 39713 1136 12 ; ; : 39713 1136 13 the the DT 39713 1136 14 triangle triangle NN 39713 1136 15 [ [ -LRB- 39713 1136 16 alpha][beta][gamma alpha][beta][gamma NN 39713 1136 17 ] ] -RRB- 39713 1136 18 might may MD 39713 1136 19 be be VB 39713 1136 20 made make VBN 39713 1136 21 of of IN 39713 1136 22 inexpansible inexpansible JJ 39713 1136 23 matter matter NN 39713 1136 24 and and CC 39713 1136 25 the the DT 39713 1136 26 other other JJ 39713 1136 27 of of IN 39713 1136 28 a a DT 39713 1136 29 very very RB 39713 1136 30 dilatable dilatable JJ 39713 1136 31 matter matter NN 39713 1136 32 . . . 39713 1137 1 It -PRON- PRP 39713 1137 2 would would MD 39713 1137 3 then then RB 39713 1137 4 be be VB 39713 1137 5 possible possible JJ 39713 1137 6 to to TO 39713 1137 7 make make VB 39713 1137 8 the the DT 39713 1137 9 first first JJ 39713 1137 10 observations observation NNS 39713 1137 11 with with IN 39713 1137 12 the the DT 39713 1137 13 double double JJ 39713 1137 14 pyramid pyramid NN 39713 1137 15 _ _ NNP 39713 1137 16 OAH OAH NNP 39713 1137 17 _ _ NNP 39713 1137 18 and and CC 39713 1137 19 the the DT 39713 1137 20 triangle triangle NN 39713 1137 21 [ [ -LRB- 39713 1137 22 alpha][beta][gamma alpha][beta][gamma NN 39713 1137 23 ] ] -RRB- 39713 1137 24 , , , 39713 1137 25 and and CC 39713 1137 26 the the DT 39713 1137 27 second second JJ 39713 1137 28 with with IN 39713 1137 29 the the DT 39713 1137 30 double double JJ 39713 1137 31 pyramid pyramid NN 39713 1137 32 _ _ NNP 39713 1137 33 O'A'H O'A'H NNP 39713 1137 34 ' ' '' 39713 1137 35 _ _ NNP 39713 1137 36 and and CC 39713 1137 37 the the DT 39713 1137 38 triangle triangle NN 39713 1137 39 [ [ -LRB- 39713 1137 40 alpha]'[beta]'[gamma alpha]'[beta]'[gamma NNP 39713 1137 41 ] ] -RRB- 39713 1137 42 ' ' '' 39713 1137 43 . . . 39713 1138 1 And and CC 39713 1138 2 then then RB 39713 1138 3 experiment experiment NN 39713 1138 4 would would MD 39713 1138 5 seem seem VB 39713 1138 6 to to TO 39713 1138 7 prove prove VB 39713 1138 8 first first RB 39713 1138 9 that that IN 39713 1138 10 the the DT 39713 1138 11 Euclidean euclidean JJ 39713 1138 12 geometry geometry NN 39713 1138 13 is be VBZ 39713 1138 14 true true JJ 39713 1138 15 and and CC 39713 1138 16 then then RB 39713 1138 17 that that IN 39713 1138 18 it -PRON- PRP 39713 1138 19 is be VBZ 39713 1138 20 false false JJ 39713 1138 21 . . . 39713 1139 1 _ _ NNP 39713 1139 2 Experiments experiment NNS 39713 1139 3 therefore therefore RB 39713 1139 4 have have VBP 39713 1139 5 a a DT 39713 1139 6 bearing bearing NN 39713 1139 7 , , , 39713 1139 8 not not RB 39713 1139 9 on on IN 39713 1139 10 space space NN 39713 1139 11 , , , 39713 1139 12 but but CC 39713 1139 13 on on IN 39713 1139 14 bodies body NNS 39713 1139 15 . . . 39713 1139 16 _ _ NNP 39713 1139 17 SUPPLEMENT SUPPLEMENT NNP 39713 1139 18 8 8 CD 39713 1139 19 . . . 39713 1140 1 To to TO 39713 1140 2 complete complete VB 39713 1140 3 the the DT 39713 1140 4 matter matter NN 39713 1140 5 , , , 39713 1140 6 I -PRON- PRP 39713 1140 7 ought ought MD 39713 1140 8 to to TO 39713 1140 9 speak speak VB 39713 1140 10 of of IN 39713 1140 11 a a DT 39713 1140 12 very very RB 39713 1140 13 delicate delicate JJ 39713 1140 14 question question NN 39713 1140 15 , , , 39713 1140 16 which which WDT 39713 1140 17 would would MD 39713 1140 18 require require VB 39713 1140 19 long long JJ 39713 1140 20 development development NN 39713 1140 21 ; ; : 39713 1140 22 I -PRON- PRP 39713 1140 23 shall shall MD 39713 1140 24 confine confine VB 39713 1140 25 myself -PRON- PRP 39713 1140 26 to to IN 39713 1140 27 summarizing summarize VBG 39713 1140 28 here here RB 39713 1140 29 what what WP 39713 1140 30 I -PRON- PRP 39713 1140 31 have have VBP 39713 1140 32 expounded expound VBN 39713 1140 33 in in IN 39713 1140 34 the the DT 39713 1140 35 _ _ NNP 39713 1140 36 Revue Revue NNP 39713 1140 37 de de NNP 39713 1140 38 Métaphysique Métaphysique NNP 39713 1140 39 et et FW 39713 1140 40 de de FW 39713 1140 41 Morale Morale NNP 39713 1140 42 _ _ NNP 39713 1140 43 and and CC 39713 1140 44 in in IN 39713 1140 45 _ _ NNP 39713 1140 46 The the DT 39713 1140 47 Monist Monist NNP 39713 1140 48 _ _ NNP 39713 1140 49 . . . 39713 1141 1 When when WRB 39713 1141 2 we -PRON- PRP 39713 1141 3 say say VBP 39713 1141 4 space space NN 39713 1141 5 has have VBZ 39713 1141 6 three three CD 39713 1141 7 dimensions dimension NNS 39713 1141 8 , , , 39713 1141 9 what what WP 39713 1141 10 do do VBP 39713 1141 11 we -PRON- PRP 39713 1141 12 mean mean VB 39713 1141 13 ? ? . 39713 1142 1 We -PRON- PRP 39713 1142 2 have have VBP 39713 1142 3 seen see VBN 39713 1142 4 the the DT 39713 1142 5 importance importance NN 39713 1142 6 of of IN 39713 1142 7 those those DT 39713 1142 8 ' ' `` 39713 1142 9 internal internal JJ 39713 1142 10 changes change NNS 39713 1142 11 ' ' '' 39713 1142 12 revealed reveal VBD 39713 1142 13 to to IN 39713 1142 14 us -PRON- PRP 39713 1142 15 by by IN 39713 1142 16 our -PRON- PRP$ 39713 1142 17 muscular muscular JJ 39713 1142 18 sensations sensation NNS 39713 1142 19 . . . 39713 1143 1 They -PRON- PRP 39713 1143 2 may may MD 39713 1143 3 serve serve VB 39713 1143 4 to to TO 39713 1143 5 characterize characterize VB 39713 1143 6 the the DT 39713 1143 7 various various JJ 39713 1143 8 _ _ NNP 39713 1143 9 attitudes attitude NNS 39713 1143 10 _ _ NNP 39713 1143 11 of of IN 39713 1143 12 our -PRON- PRP$ 39713 1143 13 body body NN 39713 1143 14 . . . 39713 1144 1 Take take VB 39713 1144 2 arbitrarily arbitrarily RB 39713 1144 3 as as IN 39713 1144 4 origin origin NN 39713 1144 5 one one CD 39713 1144 6 of of IN 39713 1144 7 these these DT 39713 1144 8 attitudes attitude NNS 39713 1144 9 _ _ NNP 39713 1144 10 A A NNP 39713 1144 11 _ _ NNP 39713 1144 12 . . . 39713 1145 1 When when WRB 39713 1145 2 we -PRON- PRP 39713 1145 3 pass pass VBP 39713 1145 4 from from IN 39713 1145 5 this this DT 39713 1145 6 initial initial JJ 39713 1145 7 attitude attitude NN 39713 1145 8 to to IN 39713 1145 9 any any DT 39713 1145 10 other other JJ 39713 1145 11 attitude attitude NN 39713 1145 12 _ _ NNP 39713 1145 13 B B NNP 39713 1145 14 _ _ NNP 39713 1145 15 , , , 39713 1145 16 we -PRON- PRP 39713 1145 17 feel feel VBP 39713 1145 18 a a DT 39713 1145 19 series series NN 39713 1145 20 of of IN 39713 1145 21 muscular muscular JJ 39713 1145 22 sensations sensation NNS 39713 1145 23 , , , 39713 1145 24 and and CC 39713 1145 25 this this DT 39713 1145 26 series series NN 39713 1145 27 _ _ NNP 39713 1145 28 S S NNP 39713 1145 29 _ _ NNP 39713 1145 30 will will MD 39713 1145 31 define define VB 39713 1145 32 _ _ NNP 39713 1145 33 B B NNP 39713 1145 34 _ _ NNP 39713 1145 35 . . . 39713 1146 1 Observe observe VB 39713 1146 2 , , , 39713 1146 3 however however RB 39713 1146 4 , , , 39713 1146 5 that that IN 39713 1146 6 we -PRON- PRP 39713 1146 7 shall shall MD 39713 1146 8 often often RB 39713 1146 9 regard regard VB 39713 1146 10 two two CD 39713 1146 11 series series NN 39713 1146 12 _ _ NNP 39713 1146 13 S S NNP 39713 1146 14 _ _ NNP 39713 1146 15 and and CC 39713 1146 16 _ _ NNP 39713 1146 17 S S NNP 39713 1146 18 ' ' '' 39713 1146 19 _ _ NNP 39713 1146 20 as as IN 39713 1146 21 defining define VBG 39713 1146 22 the the DT 39713 1146 23 same same JJ 39713 1146 24 attitude attitude NN 39713 1146 25 _ _ NNP 39713 1146 26 B B NNP 39713 1146 27 _ _ NNP 39713 1146 28 ( ( -LRB- 39713 1146 29 since since IN 39713 1146 30 the the DT 39713 1146 31 initial initial JJ 39713 1146 32 and and CC 39713 1146 33 final final JJ 39713 1146 34 attitudes attitude NNS 39713 1146 35 _ _ NNP 39713 1146 36 A A NNP 39713 1146 37 _ _ NNP 39713 1146 38 and and CC 39713 1146 39 _ _ NNP 39713 1146 40 B B NNP 39713 1146 41 _ _ NNP 39713 1146 42 remaining remain VBG 39713 1146 43 the the DT 39713 1146 44 same same JJ 39713 1146 45 , , , 39713 1146 46 the the DT 39713 1146 47 intermediary intermediary JJ 39713 1146 48 attitudes attitude NNS 39713 1146 49 and and CC 39713 1146 50 the the DT 39713 1146 51 corresponding correspond VBG 39713 1146 52 sensations sensation NNS 39713 1146 53 may may MD 39713 1146 54 differ differ VB 39713 1146 55 ) ) -RRB- 39713 1146 56 . . . 39713 1147 1 How how WRB 39713 1147 2 then then RB 39713 1147 3 shall shall MD 39713 1147 4 we -PRON- PRP 39713 1147 5 recognize recognize VB 39713 1147 6 the the DT 39713 1147 7 equivalence equivalence NN 39713 1147 8 of of IN 39713 1147 9 these these DT 39713 1147 10 two two CD 39713 1147 11 series series NN 39713 1147 12 ? ? . 39713 1148 1 Because because IN 39713 1148 2 they -PRON- PRP 39713 1148 3 may may MD 39713 1148 4 serve serve VB 39713 1148 5 to to TO 39713 1148 6 compensate compensate VB 39713 1148 7 the the DT 39713 1148 8 same same JJ 39713 1148 9 external external JJ 39713 1148 10 change change NN 39713 1148 11 , , , 39713 1148 12 or or CC 39713 1148 13 more more RBR 39713 1148 14 generally generally RB 39713 1148 15 because because IN 39713 1148 16 , , , 39713 1148 17 when when WRB 39713 1148 18 it -PRON- PRP 39713 1148 19 is be VBZ 39713 1148 20 a a DT 39713 1148 21 question question NN 39713 1148 22 of of IN 39713 1148 23 compensating compensate VBG 39713 1148 24 an an DT 39713 1148 25 external external JJ 39713 1148 26 change change NN 39713 1148 27 , , , 39713 1148 28 one one CD 39713 1148 29 of of IN 39713 1148 30 the the DT 39713 1148 31 series series NN 39713 1148 32 can can MD 39713 1148 33 be be VB 39713 1148 34 replaced replace VBN 39713 1148 35 by by IN 39713 1148 36 the the DT 39713 1148 37 other other JJ 39713 1148 38 . . . 39713 1149 1 Among among IN 39713 1149 2 these these DT 39713 1149 3 series series NN 39713 1149 4 , , , 39713 1149 5 we -PRON- PRP 39713 1149 6 have have VBP 39713 1149 7 distinguished distinguish VBN 39713 1149 8 those those DT 39713 1149 9 which which WDT 39713 1149 10 of of IN 39713 1149 11 themselves -PRON- PRP 39713 1149 12 alone alone RB 39713 1149 13 can can MD 39713 1149 14 compensate compensate VB 39713 1149 15 an an DT 39713 1149 16 external external JJ 39713 1149 17 change change NN 39713 1149 18 , , , 39713 1149 19 and and CC 39713 1149 20 which which WDT 39713 1149 21 we -PRON- PRP 39713 1149 22 have have VBP 39713 1149 23 called call VBN 39713 1149 24 ' ' `` 39713 1149 25 displacements displacement NNS 39713 1149 26 . . . 39713 1149 27 ' ' '' 39713 1150 1 As as IN 39713 1150 2 we -PRON- PRP 39713 1150 3 can can MD 39713 1150 4 not not RB 39713 1150 5 discriminate discriminate VB 39713 1150 6 between between IN 39713 1150 7 two two CD 39713 1150 8 displacements displacement NNS 39713 1150 9 which which WDT 39713 1150 10 are be VBP 39713 1150 11 too too RB 39713 1150 12 close close JJ 39713 1150 13 together together RB 39713 1150 14 , , , 39713 1150 15 the the DT 39713 1150 16 totality totality NN 39713 1150 17 of of IN 39713 1150 18 these these DT 39713 1150 19 displacements displacement NNS 39713 1150 20 presents present VBZ 39713 1150 21 the the DT 39713 1150 22 characteristics characteristic NNS 39713 1150 23 of of IN 39713 1150 24 a a DT 39713 1150 25 physical physical JJ 39713 1150 26 continuum continuum NN 39713 1150 27 ; ; : 39713 1150 28 experience experience NN 39713 1150 29 teaches teach VBZ 39713 1150 30 us -PRON- PRP 39713 1150 31 that that IN 39713 1150 32 they -PRON- PRP 39713 1150 33 are be VBP 39713 1150 34 those those DT 39713 1150 35 of of IN 39713 1150 36 a a DT 39713 1150 37 physical physical JJ 39713 1150 38 continuum continuum NN 39713 1150 39 of of IN 39713 1150 40 six six CD 39713 1150 41 dimensions dimension NNS 39713 1150 42 ; ; : 39713 1150 43 but but CC 39713 1150 44 we -PRON- PRP 39713 1150 45 do do VBP 39713 1150 46 not not RB 39713 1150 47 yet yet RB 39713 1150 48 know know VB 39713 1150 49 how how WRB 39713 1150 50 many many JJ 39713 1150 51 dimensions dimension NNS 39713 1150 52 space space NN 39713 1150 53 itself -PRON- PRP 39713 1150 54 has have VBZ 39713 1150 55 , , , 39713 1150 56 we -PRON- PRP 39713 1150 57 must must MD 39713 1150 58 first first RB 39713 1150 59 solve solve VB 39713 1150 60 another another DT 39713 1150 61 question question NN 39713 1150 62 . . . 39713 1151 1 What what WP 39713 1151 2 is be VBZ 39713 1151 3 a a DT 39713 1151 4 point point NN 39713 1151 5 of of IN 39713 1151 6 space space NN 39713 1151 7 ? ? . 39713 1152 1 Everybody everybody NN 39713 1152 2 thinks think VBZ 39713 1152 3 he -PRON- PRP 39713 1152 4 knows know VBZ 39713 1152 5 , , , 39713 1152 6 but but CC 39713 1152 7 that that DT 39713 1152 8 is be VBZ 39713 1152 9 an an DT 39713 1152 10 illusion illusion NN 39713 1152 11 . . . 39713 1153 1 What what WP 39713 1153 2 we -PRON- PRP 39713 1153 3 see see VBP 39713 1153 4 when when WRB 39713 1153 5 we -PRON- PRP 39713 1153 6 try try VBP 39713 1153 7 to to TO 39713 1153 8 represent represent VB 39713 1153 9 to to IN 39713 1153 10 ourselves -PRON- PRP 39713 1153 11 a a DT 39713 1153 12 point point NN 39713 1153 13 of of IN 39713 1153 14 space space NN 39713 1153 15 is be VBZ 39713 1153 16 a a DT 39713 1153 17 black black JJ 39713 1153 18 speck speck NN 39713 1153 19 on on IN 39713 1153 20 white white JJ 39713 1153 21 paper paper NN 39713 1153 22 , , , 39713 1153 23 a a DT 39713 1153 24 speck speck NN 39713 1153 25 of of IN 39713 1153 26 chalk chalk NN 39713 1153 27 on on IN 39713 1153 28 a a DT 39713 1153 29 blackboard blackboard NN 39713 1153 30 , , , 39713 1153 31 always always RB 39713 1153 32 an an DT 39713 1153 33 object object NN 39713 1153 34 . . . 39713 1154 1 The the DT 39713 1154 2 question question NN 39713 1154 3 should should MD 39713 1154 4 therefore therefore RB 39713 1154 5 be be VB 39713 1154 6 understood understand VBN 39713 1154 7 as as IN 39713 1154 8 follows follow VBZ 39713 1154 9 : : : 39713 1154 10 What what WP 39713 1154 11 do do VBP 39713 1154 12 I -PRON- PRP 39713 1154 13 mean mean VB 39713 1154 14 when when WRB 39713 1154 15 I -PRON- PRP 39713 1154 16 say say VBP 39713 1154 17 the the DT 39713 1154 18 object object NN 39713 1154 19 _ _ NNP 39713 1154 20 B B NNP 39713 1154 21 _ _ NNP 39713 1154 22 is be VBZ 39713 1154 23 at at IN 39713 1154 24 the the DT 39713 1154 25 same same JJ 39713 1154 26 point point NN 39713 1154 27 that that IN 39713 1154 28 the the DT 39713 1154 29 object object NN 39713 1154 30 _ _ NNP 39713 1154 31 A A NNP 39713 1154 32 _ _ NNP 39713 1154 33 occupied occupy VBN 39713 1154 34 just just RB 39713 1154 35 now now RB 39713 1154 36 ? ? . 39713 1155 1 Or or CC 39713 1155 2 further far RBR 39713 1155 3 , , , 39713 1155 4 what what WDT 39713 1155 5 criterion criterion NN 39713 1155 6 will will MD 39713 1155 7 enable enable VB 39713 1155 8 me -PRON- PRP 39713 1155 9 to to TO 39713 1155 10 apprehend apprehend VB 39713 1155 11 this this DT 39713 1155 12 ? ? . 39713 1156 1 I -PRON- PRP 39713 1156 2 mean mean VBP 39713 1156 3 that that IN 39713 1156 4 , , , 39713 1156 5 _ _ NNP 39713 1156 6 although although IN 39713 1156 7 I -PRON- PRP 39713 1156 8 have have VBP 39713 1156 9 not not RB 39713 1156 10 budged budge VBN 39713 1156 11 _ _ NNP 39713 1156 12 ( ( -LRB- 39713 1156 13 which which WDT 39713 1156 14 my -PRON- PRP$ 39713 1156 15 muscular muscular JJ 39713 1156 16 sense sense NN 39713 1156 17 tells tell VBZ 39713 1156 18 me -PRON- PRP 39713 1156 19 ) ) -RRB- 39713 1156 20 , , , 39713 1156 21 my -PRON- PRP$ 39713 1156 22 first first JJ 39713 1156 23 finger finger NN 39713 1156 24 which which WDT 39713 1156 25 just just RB 39713 1156 26 now now RB 39713 1156 27 touched touch VBD 39713 1156 28 the the DT 39713 1156 29 object object NN 39713 1156 30 _ _ NNP 39713 1156 31 A A NNP 39713 1156 32 _ _ NNP 39713 1156 33 touches touch VBZ 39713 1156 34 at at IN 39713 1156 35 present present JJ 39713 1156 36 the the DT 39713 1156 37 object object NN 39713 1156 38 _ _ NNP 39713 1156 39 B B NNP 39713 1156 40 _ _ NNP 39713 1156 41 . . . 39713 1157 1 I -PRON- PRP 39713 1157 2 could could MD 39713 1157 3 have have VB 39713 1157 4 used use VBN 39713 1157 5 other other JJ 39713 1157 6 criteria criterion NNS 39713 1157 7 ; ; : 39713 1157 8 for for IN 39713 1157 9 instance instance NN 39713 1157 10 another another DT 39713 1157 11 finger finger NN 39713 1157 12 or or CC 39713 1157 13 the the DT 39713 1157 14 sense sense NN 39713 1157 15 of of IN 39713 1157 16 sight sight NN 39713 1157 17 . . . 39713 1158 1 But but CC 39713 1158 2 the the DT 39713 1158 3 first first JJ 39713 1158 4 criterion criterion NN 39713 1158 5 is be VBZ 39713 1158 6 sufficient sufficient JJ 39713 1158 7 ; ; : 39713 1158 8 I -PRON- PRP 39713 1158 9 know know VBP 39713 1158 10 that that IN 39713 1158 11 if if IN 39713 1158 12 it -PRON- PRP 39713 1158 13 answers answer VBZ 39713 1158 14 yes yes UH 39713 1158 15 , , , 39713 1158 16 all all PDT 39713 1158 17 the the DT 39713 1158 18 other other JJ 39713 1158 19 criteria criterion NNS 39713 1158 20 will will MD 39713 1158 21 give give VB 39713 1158 22 the the DT 39713 1158 23 same same JJ 39713 1158 24 response response NN 39713 1158 25 . . . 39713 1159 1 I -PRON- PRP 39713 1159 2 know know VBP 39713 1159 3 it -PRON- PRP 39713 1159 4 _ _ NNP 39713 1159 5 by by IN 39713 1159 6 experience experience NN 39713 1159 7 _ _ NNP 39713 1159 8 , , , 39713 1159 9 I -PRON- PRP 39713 1159 10 can can MD 39713 1159 11 not not RB 39713 1159 12 know know VB 39713 1159 13 it -PRON- PRP 39713 1159 14 _ _ NNP 39713 1159 15 a a DT 39713 1159 16 priori priori FW 39713 1159 17 _ _ NNP 39713 1159 18 . . . 39713 1160 1 For for IN 39713 1160 2 the the DT 39713 1160 3 same same JJ 39713 1160 4 reason reason NN 39713 1160 5 I -PRON- PRP 39713 1160 6 say say VBP 39713 1160 7 that that IN 39713 1160 8 touch touch NN 39713 1160 9 can can MD 39713 1160 10 not not RB 39713 1160 11 be be VB 39713 1160 12 exercised exercise VBN 39713 1160 13 at at IN 39713 1160 14 a a DT 39713 1160 15 distance distance NN 39713 1160 16 ; ; : 39713 1160 17 this this DT 39713 1160 18 is be VBZ 39713 1160 19 another another DT 39713 1160 20 way way NN 39713 1160 21 of of IN 39713 1160 22 enunciating enunciate VBG 39713 1160 23 the the DT 39713 1160 24 same same JJ 39713 1160 25 experimental experimental JJ 39713 1160 26 fact fact NN 39713 1160 27 . . . 39713 1161 1 And and CC 39713 1161 2 if if IN 39713 1161 3 , , , 39713 1161 4 on on IN 39713 1161 5 the the DT 39713 1161 6 contrary contrary NN 39713 1161 7 , , , 39713 1161 8 I -PRON- PRP 39713 1161 9 say say VBP 39713 1161 10 that that IN 39713 1161 11 sight sight NN 39713 1161 12 acts act VBZ 39713 1161 13 at at IN 39713 1161 14 a a DT 39713 1161 15 distance distance NN 39713 1161 16 , , , 39713 1161 17 it -PRON- PRP 39713 1161 18 means mean VBZ 39713 1161 19 that that IN 39713 1161 20 the the DT 39713 1161 21 criterion criterion NN 39713 1161 22 furnished furnish VBN 39713 1161 23 by by IN 39713 1161 24 sight sight NN 39713 1161 25 may may MD 39713 1161 26 respond respond VB 39713 1161 27 yes yes UH 39713 1161 28 while while IN 39713 1161 29 the the DT 39713 1161 30 others other NNS 39713 1161 31 reply reply VBP 39713 1161 32 no no UH 39713 1161 33 . . . 39713 1162 1 And and CC 39713 1162 2 in in IN 39713 1162 3 fact fact NN 39713 1162 4 , , , 39713 1162 5 the the DT 39713 1162 6 object object NN 39713 1162 7 , , , 39713 1162 8 although although IN 39713 1162 9 moved move VBN 39713 1162 10 away away RB 39713 1162 11 , , , 39713 1162 12 may may MD 39713 1162 13 form form VB 39713 1162 14 its -PRON- PRP$ 39713 1162 15 image image NN 39713 1162 16 at at IN 39713 1162 17 the the DT 39713 1162 18 same same JJ 39713 1162 19 point point NN 39713 1162 20 of of IN 39713 1162 21 the the DT 39713 1162 22 retina retina NNP 39713 1162 23 . . . 39713 1163 1 Sight sight NN 39713 1163 2 responds respond VBZ 39713 1163 3 yes yes UH 39713 1163 4 , , , 39713 1163 5 the the DT 39713 1163 6 object object NN 39713 1163 7 has have VBZ 39713 1163 8 remained remain VBN 39713 1163 9 at at IN 39713 1163 10 the the DT 39713 1163 11 same same JJ 39713 1163 12 point point NN 39713 1163 13 and and CC 39713 1163 14 touch touch NN 39713 1163 15 answers answer NNS 39713 1163 16 no no UH 39713 1163 17 , , , 39713 1163 18 because because IN 39713 1163 19 my -PRON- PRP$ 39713 1163 20 finger finger NN 39713 1163 21 which which WDT 39713 1163 22 just just RB 39713 1163 23 now now RB 39713 1163 24 touched touch VBD 39713 1163 25 the the DT 39713 1163 26 object object NN 39713 1163 27 , , , 39713 1163 28 at at IN 39713 1163 29 present present JJ 39713 1163 30 touches touch NNS 39713 1163 31 it -PRON- PRP 39713 1163 32 no no RB 39713 1163 33 longer long RBR 39713 1163 34 . . . 39713 1164 1 If if IN 39713 1164 2 experience experience NN 39713 1164 3 had have VBD 39713 1164 4 shown show VBN 39713 1164 5 us -PRON- PRP 39713 1164 6 that that IN 39713 1164 7 one one CD 39713 1164 8 finger finger NN 39713 1164 9 may may MD 39713 1164 10 respond respond VB 39713 1164 11 no no UH 39713 1164 12 when when WRB 39713 1164 13 the the DT 39713 1164 14 other other JJ 39713 1164 15 says say VBZ 39713 1164 16 yes yes UH 39713 1164 17 , , , 39713 1164 18 we -PRON- PRP 39713 1164 19 should should MD 39713 1164 20 likewise likewise RB 39713 1164 21 say say VB 39713 1164 22 that that IN 39713 1164 23 touch touch NN 39713 1164 24 acts act VBZ 39713 1164 25 at at IN 39713 1164 26 a a DT 39713 1164 27 distance distance NN 39713 1164 28 . . . 39713 1165 1 In in IN 39713 1165 2 short short JJ 39713 1165 3 , , , 39713 1165 4 for for IN 39713 1165 5 each each DT 39713 1165 6 attitude attitude NN 39713 1165 7 of of IN 39713 1165 8 my -PRON- PRP$ 39713 1165 9 body body NN 39713 1165 10 , , , 39713 1165 11 my -PRON- PRP$ 39713 1165 12 first first JJ 39713 1165 13 finger finger NN 39713 1165 14 determines determine VBZ 39713 1165 15 a a DT 39713 1165 16 point point NN 39713 1165 17 , , , 39713 1165 18 and and CC 39713 1165 19 this this DT 39713 1165 20 it -PRON- PRP 39713 1165 21 is be VBZ 39713 1165 22 , , , 39713 1165 23 and and CC 39713 1165 24 this this DT 39713 1165 25 alone alone JJ 39713 1165 26 , , , 39713 1165 27 which which WDT 39713 1165 28 defines define VBZ 39713 1165 29 a a DT 39713 1165 30 point point NN 39713 1165 31 of of IN 39713 1165 32 space space NN 39713 1165 33 . . . 39713 1166 1 To to IN 39713 1166 2 each each DT 39713 1166 3 attitude attitude NN 39713 1166 4 corresponds correspond VBZ 39713 1166 5 thus thus RB 39713 1166 6 a a DT 39713 1166 7 point point NN 39713 1166 8 ; ; : 39713 1166 9 but but CC 39713 1166 10 it -PRON- PRP 39713 1166 11 often often RB 39713 1166 12 happens happen VBZ 39713 1166 13 that that IN 39713 1166 14 the the DT 39713 1166 15 same same JJ 39713 1166 16 point point NN 39713 1166 17 corresponds correspond VBZ 39713 1166 18 to to IN 39713 1166 19 several several JJ 39713 1166 20 different different JJ 39713 1166 21 attitudes attitude NNS 39713 1166 22 ( ( -LRB- 39713 1166 23 in in IN 39713 1166 24 this this DT 39713 1166 25 case case NN 39713 1166 26 we -PRON- PRP 39713 1166 27 say say VBP 39713 1166 28 our -PRON- PRP$ 39713 1166 29 finger finger NN 39713 1166 30 has have VBZ 39713 1166 31 not not RB 39713 1166 32 budged budge VBN 39713 1166 33 , , , 39713 1166 34 but but CC 39713 1166 35 the the DT 39713 1166 36 rest rest NN 39713 1166 37 of of IN 39713 1166 38 the the DT 39713 1166 39 body body NN 39713 1166 40 has have VBZ 39713 1166 41 moved move VBN 39713 1166 42 ) ) -RRB- 39713 1166 43 . . . 39713 1167 1 We -PRON- PRP 39713 1167 2 distinguish distinguish VBP 39713 1167 3 , , , 39713 1167 4 therefore therefore RB 39713 1167 5 , , , 39713 1167 6 among among IN 39713 1167 7 the the DT 39713 1167 8 changes change NNS 39713 1167 9 of of IN 39713 1167 10 attitude attitude NN 39713 1167 11 those those DT 39713 1167 12 where where WRB 39713 1167 13 the the DT 39713 1167 14 finger finger NN 39713 1167 15 does do VBZ 39713 1167 16 not not RB 39713 1167 17 budge budge VB 39713 1167 18 . . . 39713 1168 1 How how WRB 39713 1168 2 are be VBP 39713 1168 3 we -PRON- PRP 39713 1168 4 led lead VBN 39713 1168 5 thereto thereto NNP 39713 1168 6 ? ? . 39713 1169 1 It -PRON- PRP 39713 1169 2 is be VBZ 39713 1169 3 because because IN 39713 1169 4 often often RB 39713 1169 5 we -PRON- PRP 39713 1169 6 notice notice VBP 39713 1169 7 that that IN 39713 1169 8 in in IN 39713 1169 9 these these DT 39713 1169 10 changes change NNS 39713 1169 11 the the DT 39713 1169 12 object object NN 39713 1169 13 which which WDT 39713 1169 14 is be VBZ 39713 1169 15 in in IN 39713 1169 16 contact contact NN 39713 1169 17 with with IN 39713 1169 18 the the DT 39713 1169 19 finger finger NN 39713 1169 20 remains remain VBZ 39713 1169 21 in in IN 39713 1169 22 contact contact NN 39713 1169 23 with with IN 39713 1169 24 it -PRON- PRP 39713 1169 25 . . . 39713 1170 1 Range range NN 39713 1170 2 , , , 39713 1170 3 therefore therefore RB 39713 1170 4 , , , 39713 1170 5 in in IN 39713 1170 6 the the DT 39713 1170 7 same same JJ 39713 1170 8 class class NN 39713 1170 9 all all PDT 39713 1170 10 the the DT 39713 1170 11 attitudes attitude NNS 39713 1170 12 obtainable obtainable JJ 39713 1170 13 from from IN 39713 1170 14 each each DT 39713 1170 15 other other JJ 39713 1170 16 by by IN 39713 1170 17 one one CD 39713 1170 18 of of IN 39713 1170 19 the the DT 39713 1170 20 changes change NNS 39713 1170 21 we -PRON- PRP 39713 1170 22 have have VBP 39713 1170 23 thus thus RB 39713 1170 24 distinguished distinguish VBN 39713 1170 25 . . . 39713 1171 1 To to IN 39713 1171 2 all all PDT 39713 1171 3 the the DT 39713 1171 4 attitudes attitude NNS 39713 1171 5 of of IN 39713 1171 6 the the DT 39713 1171 7 class class NN 39713 1171 8 will will MD 39713 1171 9 correspond correspond VB 39713 1171 10 the the DT 39713 1171 11 same same JJ 39713 1171 12 point point NN 39713 1171 13 of of IN 39713 1171 14 space space NN 39713 1171 15 . . . 39713 1172 1 Therefore therefore RB 39713 1172 2 to to IN 39713 1172 3 each each DT 39713 1172 4 class class NN 39713 1172 5 will will MD 39713 1172 6 correspond correspond VB 39713 1172 7 a a DT 39713 1172 8 point point NN 39713 1172 9 and and CC 39713 1172 10 to to IN 39713 1172 11 each each DT 39713 1172 12 point point NN 39713 1172 13 a a DT 39713 1172 14 class class NN 39713 1172 15 . . . 39713 1173 1 But but CC 39713 1173 2 one one PRP 39713 1173 3 may may MD 39713 1173 4 say say VB 39713 1173 5 that that IN 39713 1173 6 what what WDT 39713 1173 7 experience experience NN 39713 1173 8 arrives arrive VBZ 39713 1173 9 at at IN 39713 1173 10 is be VBZ 39713 1173 11 not not RB 39713 1173 12 the the DT 39713 1173 13 point point NN 39713 1173 14 , , , 39713 1173 15 it -PRON- PRP 39713 1173 16 is be VBZ 39713 1173 17 this this DT 39713 1173 18 class class NN 39713 1173 19 of of IN 39713 1173 20 changes change NNS 39713 1173 21 or or CC 39713 1173 22 , , , 39713 1173 23 better well JJR 39713 1173 24 , , , 39713 1173 25 the the DT 39713 1173 26 corresponding correspond VBG 39713 1173 27 class class NN 39713 1173 28 of of IN 39713 1173 29 muscular muscular JJ 39713 1173 30 sensations sensation NNS 39713 1173 31 . . . 39713 1174 1 And and CC 39713 1174 2 when when WRB 39713 1174 3 we -PRON- PRP 39713 1174 4 say say VBP 39713 1174 5 space space NN 39713 1174 6 has have VBZ 39713 1174 7 three three CD 39713 1174 8 dimensions dimension NNS 39713 1174 9 , , , 39713 1174 10 we -PRON- PRP 39713 1174 11 simply simply RB 39713 1174 12 mean mean VBP 39713 1174 13 that that IN 39713 1174 14 the the DT 39713 1174 15 totality totality NN 39713 1174 16 of of IN 39713 1174 17 these these DT 39713 1174 18 classes class NNS 39713 1174 19 appears appear VBZ 39713 1174 20 to to IN 39713 1174 21 us -PRON- PRP 39713 1174 22 with with IN 39713 1174 23 the the DT 39713 1174 24 characteristics characteristic NNS 39713 1174 25 of of IN 39713 1174 26 a a DT 39713 1174 27 physical physical JJ 39713 1174 28 continuum continuum NN 39713 1174 29 of of IN 39713 1174 30 three three CD 39713 1174 31 dimensions dimension NNS 39713 1174 32 . . . 39713 1175 1 One one PRP 39713 1175 2 might may MD 39713 1175 3 be be VB 39713 1175 4 tempted tempt VBN 39713 1175 5 to to TO 39713 1175 6 conclude conclude VB 39713 1175 7 that that IN 39713 1175 8 it -PRON- PRP 39713 1175 9 is be VBZ 39713 1175 10 experience experience NN 39713 1175 11 which which WDT 39713 1175 12 has have VBZ 39713 1175 13 taught teach VBN 39713 1175 14 us -PRON- PRP 39713 1175 15 how how WRB 39713 1175 16 many many JJ 39713 1175 17 dimensions dimension NNS 39713 1175 18 space space NN 39713 1175 19 has have VBZ 39713 1175 20 . . . 39713 1176 1 But but CC 39713 1176 2 in in IN 39713 1176 3 reality reality NN 39713 1176 4 here here RB 39713 1176 5 also also RB 39713 1176 6 our -PRON- PRP$ 39713 1176 7 experiences experience NNS 39713 1176 8 have have VBP 39713 1176 9 bearing bear VBG 39713 1176 10 , , , 39713 1176 11 not not RB 39713 1176 12 on on IN 39713 1176 13 space space NN 39713 1176 14 , , , 39713 1176 15 but but CC 39713 1176 16 on on IN 39713 1176 17 our -PRON- PRP$ 39713 1176 18 body body NN 39713 1176 19 and and CC 39713 1176 20 its -PRON- PRP$ 39713 1176 21 relations relation NNS 39713 1176 22 with with IN 39713 1176 23 the the DT 39713 1176 24 neighboring neighboring NN 39713 1176 25 objects object NNS 39713 1176 26 . . . 39713 1177 1 Moreover moreover RB 39713 1177 2 they -PRON- PRP 39713 1177 3 are be VBP 39713 1177 4 excessively excessively RB 39713 1177 5 crude crude JJ 39713 1177 6 . . . 39713 1178 1 In in IN 39713 1178 2 our -PRON- PRP$ 39713 1178 3 mind mind NN 39713 1178 4 pre pre VBN 39713 1178 5 - - VBN 39713 1178 6 existed exist VBD 39713 1178 7 the the DT 39713 1178 8 latent latent JJ 39713 1178 9 idea idea NN 39713 1178 10 of of IN 39713 1178 11 a a DT 39713 1178 12 certain certain JJ 39713 1178 13 number number NN 39713 1178 14 of of IN 39713 1178 15 groups group NNS 39713 1178 16 -- -- : 39713 1178 17 those those DT 39713 1178 18 whose whose WP$ 39713 1178 19 theory theory NN 39713 1178 20 Lie Lie NNP 39713 1178 21 has have VBZ 39713 1178 22 developed develop VBN 39713 1178 23 . . . 39713 1179 1 Which which WDT 39713 1179 2 group group NN 39713 1179 3 shall shall MD 39713 1179 4 we -PRON- PRP 39713 1179 5 choose choose VB 39713 1179 6 , , , 39713 1179 7 to to TO 39713 1179 8 make make VB 39713 1179 9 of of IN 39713 1179 10 it -PRON- PRP 39713 1179 11 a a DT 39713 1179 12 sort sort NN 39713 1179 13 of of IN 39713 1179 14 standard standard NN 39713 1179 15 with with IN 39713 1179 16 which which WDT 39713 1179 17 to to TO 39713 1179 18 compare compare VB 39713 1179 19 natural natural JJ 39713 1179 20 phenomena phenomenon NNS 39713 1179 21 ? ? . 39713 1180 1 And and CC 39713 1180 2 , , , 39713 1180 3 this this DT 39713 1180 4 group group NN 39713 1180 5 chosen choose VBD 39713 1180 6 , , , 39713 1180 7 which which WDT 39713 1180 8 of of IN 39713 1180 9 its -PRON- PRP$ 39713 1180 10 sub sub NN 39713 1180 11 - - NNS 39713 1180 12 groups group NNS 39713 1180 13 shall shall MD 39713 1180 14 we -PRON- PRP 39713 1180 15 take take VB 39713 1180 16 to to TO 39713 1180 17 characterize characterize VB 39713 1180 18 a a DT 39713 1180 19 point point NN 39713 1180 20 of of IN 39713 1180 21 space space NN 39713 1180 22 ? ? . 39713 1181 1 Experience experience NN 39713 1181 2 has have VBZ 39713 1181 3 guided guide VBN 39713 1181 4 us -PRON- PRP 39713 1181 5 by by IN 39713 1181 6 showing show VBG 39713 1181 7 us -PRON- PRP 39713 1181 8 which which WDT 39713 1181 9 choice choice VBP 39713 1181 10 best good JJS 39713 1181 11 adapts adapt VBZ 39713 1181 12 itself -PRON- PRP 39713 1181 13 to to IN 39713 1181 14 the the DT 39713 1181 15 properties property NNS 39713 1181 16 of of IN 39713 1181 17 our -PRON- PRP$ 39713 1181 18 body body NN 39713 1181 19 . . . 39713 1182 1 But but CC 39713 1182 2 its -PRON- PRP$ 39713 1182 3 rôle rôle NN 39713 1182 4 is be VBZ 39713 1182 5 limited limit VBN 39713 1182 6 to to IN 39713 1182 7 that that DT 39713 1182 8 . . . 39713 1183 1 ANCESTRAL ANCESTRAL NNP 39713 1183 2 EXPERIENCE EXPERIENCE NNS 39713 1183 3 It -PRON- PRP 39713 1183 4 has have VBZ 39713 1183 5 often often RB 39713 1183 6 been be VBN 39713 1183 7 said say VBN 39713 1183 8 that that IN 39713 1183 9 if if IN 39713 1183 10 individual individual JJ 39713 1183 11 experience experience NN 39713 1183 12 could could MD 39713 1183 13 not not RB 39713 1183 14 create create VB 39713 1183 15 geometry geometry NN 39713 1183 16 the the DT 39713 1183 17 same same JJ 39713 1183 18 is be VBZ 39713 1183 19 not not RB 39713 1183 20 true true JJ 39713 1183 21 of of IN 39713 1183 22 ancestral ancestral JJ 39713 1183 23 experience experience NN 39713 1183 24 . . . 39713 1184 1 But but CC 39713 1184 2 what what WP 39713 1184 3 does do VBZ 39713 1184 4 that that DT 39713 1184 5 mean mean VB 39713 1184 6 ? ? . 39713 1185 1 Is be VBZ 39713 1185 2 it -PRON- PRP 39713 1185 3 meant mean VBN 39713 1185 4 that that IN 39713 1185 5 we -PRON- PRP 39713 1185 6 could could MD 39713 1185 7 not not RB 39713 1185 8 experimentally experimentally RB 39713 1185 9 demonstrate demonstrate VB 39713 1185 10 Euclid Euclid NNP 39713 1185 11 's 's POS 39713 1185 12 postulate postulate NN 39713 1185 13 , , , 39713 1185 14 but but CC 39713 1185 15 that that IN 39713 1185 16 our -PRON- PRP$ 39713 1185 17 ancestors ancestor NNS 39713 1185 18 have have VBP 39713 1185 19 been be VBN 39713 1185 20 able able JJ 39713 1185 21 to to TO 39713 1185 22 do do VB 39713 1185 23 it -PRON- PRP 39713 1185 24 ? ? . 39713 1186 1 Not not RB 39713 1186 2 in in IN 39713 1186 3 the the DT 39713 1186 4 least least JJS 39713 1186 5 . . . 39713 1187 1 It -PRON- PRP 39713 1187 2 is be VBZ 39713 1187 3 meant mean VBN 39713 1187 4 that that IN 39713 1187 5 by by IN 39713 1187 6 natural natural JJ 39713 1187 7 selection selection NN 39713 1187 8 our -PRON- PRP$ 39713 1187 9 mind mind NN 39713 1187 10 has have VBZ 39713 1187 11 _ _ NNP 39713 1187 12 adapted adapt VBN 39713 1187 13 _ _ NNP 39713 1187 14 itself -PRON- PRP 39713 1187 15 to to IN 39713 1187 16 the the DT 39713 1187 17 conditions condition NNS 39713 1187 18 of of IN 39713 1187 19 the the DT 39713 1187 20 external external JJ 39713 1187 21 world world NN 39713 1187 22 , , , 39713 1187 23 that that IN 39713 1187 24 it -PRON- PRP 39713 1187 25 has have VBZ 39713 1187 26 adopted adopt VBN 39713 1187 27 the the DT 39713 1187 28 geometry geometry NN 39713 1187 29 _ _ NNP 39713 1187 30 most most RBS 39713 1187 31 advantageous advantageous JJ 39713 1187 32 _ _ NNP 39713 1187 33 to to IN 39713 1187 34 the the DT 39713 1187 35 species species NN 39713 1187 36 : : : 39713 1187 37 or or CC 39713 1187 38 in in IN 39713 1187 39 other other JJ 39713 1187 40 words word NNS 39713 1187 41 _ _ IN 39713 1187 42 the the DT 39713 1187 43 most most RBS 39713 1187 44 convenient convenient JJ 39713 1187 45 _ _ NNP 39713 1187 46 . . . 39713 1188 1 This this DT 39713 1188 2 is be VBZ 39713 1188 3 entirely entirely RB 39713 1188 4 in in IN 39713 1188 5 conformity conformity NN 39713 1188 6 with with IN 39713 1188 7 our -PRON- PRP$ 39713 1188 8 conclusions conclusion NNS 39713 1188 9 ; ; : 39713 1188 10 geometry geometry NN 39713 1188 11 is be VBZ 39713 1188 12 not not RB 39713 1188 13 true true JJ 39713 1188 14 , , , 39713 1188 15 it -PRON- PRP 39713 1188 16 is be VBZ 39713 1188 17 advantageous advantageous JJ 39713 1188 18 . . . 39713 1189 1 PART PART NNP 39713 1189 2 III III NNP 39713 1189 3 FORCE FORCE NNP 39713 1189 4 CHAPTER CHAPTER NNP 39713 1189 5 VI VI NNP 39713 1189 6 THE the DT 39713 1189 7 CLASSIC classic NN 39713 1189 8 MECHANICS mechanics NN 39713 1189 9 The the DT 39713 1189 10 English English NNP 39713 1189 11 teach teach VBP 39713 1189 12 mechanics mechanic NNS 39713 1189 13 as as IN 39713 1189 14 an an DT 39713 1189 15 experimental experimental JJ 39713 1189 16 science science NN 39713 1189 17 ; ; , 39713 1189 18 on on IN 39713 1189 19 the the DT 39713 1189 20 continent continent NN 39713 1189 21 it -PRON- PRP 39713 1189 22 is be VBZ 39713 1189 23 always always RB 39713 1189 24 expounded expound VBN 39713 1189 25 as as IN 39713 1189 26 more more RBR 39713 1189 27 or or CC 39713 1189 28 less less RBR 39713 1189 29 a a DT 39713 1189 30 deductive deductive NN 39713 1189 31 and and CC 39713 1189 32 _ _ NNP 39713 1189 33 a a DT 39713 1189 34 priori priori FW 39713 1189 35 _ _ NNP 39713 1189 36 science science NN 39713 1189 37 . . . 39713 1190 1 The the DT 39713 1190 2 English English NNP 39713 1190 3 are be VBP 39713 1190 4 right right JJ 39713 1190 5 , , , 39713 1190 6 that that DT 39713 1190 7 goes go VBZ 39713 1190 8 without without IN 39713 1190 9 saying say VBG 39713 1190 10 ; ; : 39713 1190 11 but but CC 39713 1190 12 how how WRB 39713 1190 13 could could MD 39713 1190 14 the the DT 39713 1190 15 other other JJ 39713 1190 16 method method NN 39713 1190 17 have have VBP 39713 1190 18 been be VBN 39713 1190 19 persisted persist VBN 39713 1190 20 in in IN 39713 1190 21 so so RB 39713 1190 22 long long RB 39713 1190 23 ? ? . 39713 1191 1 Why why WRB 39713 1191 2 have have VBP 39713 1191 3 the the DT 39713 1191 4 continental continental JJ 39713 1191 5 savants savant NNS 39713 1191 6 who who WP 39713 1191 7 have have VBP 39713 1191 8 sought seek VBN 39713 1191 9 to to TO 39713 1191 10 get get VB 39713 1191 11 out out IN 39713 1191 12 of of IN 39713 1191 13 the the DT 39713 1191 14 ruts rut NNS 39713 1191 15 of of IN 39713 1191 16 their -PRON- PRP$ 39713 1191 17 predecessors predecessor NNS 39713 1191 18 been be VBN 39713 1191 19 usually usually RB 39713 1191 20 unable unable JJ 39713 1191 21 to to TO 39713 1191 22 free free VB 39713 1191 23 themselves -PRON- PRP 39713 1191 24 completely completely RB 39713 1191 25 ? ? . 39713 1192 1 On on IN 39713 1192 2 the the DT 39713 1192 3 other other JJ 39713 1192 4 hand hand NN 39713 1192 5 , , , 39713 1192 6 if if IN 39713 1192 7 the the DT 39713 1192 8 principles principle NNS 39713 1192 9 of of IN 39713 1192 10 mechanics mechanic NNS 39713 1192 11 are be VBP 39713 1192 12 only only RB 39713 1192 13 of of IN 39713 1192 14 experimental experimental JJ 39713 1192 15 origin origin NN 39713 1192 16 , , , 39713 1192 17 are be VBP 39713 1192 18 they -PRON- PRP 39713 1192 19 not not RB 39713 1192 20 therefore therefore RB 39713 1192 21 only only RB 39713 1192 22 approximate approximate JJ 39713 1192 23 and and CC 39713 1192 24 provisional provisional JJ 39713 1192 25 ? ? . 39713 1193 1 Might may MD 39713 1193 2 not not RB 39713 1193 3 new new JJ 39713 1193 4 experiments experiment NNS 39713 1193 5 some some DT 39713 1193 6 day day NN 39713 1193 7 lead lead VBP 39713 1193 8 us -PRON- PRP 39713 1193 9 to to TO 39713 1193 10 modify modify VB 39713 1193 11 or or CC 39713 1193 12 even even RB 39713 1193 13 to to TO 39713 1193 14 abandon abandon VB 39713 1193 15 them -PRON- PRP 39713 1193 16 ? ? . 39713 1194 1 Such such JJ 39713 1194 2 are be VBP 39713 1194 3 the the DT 39713 1194 4 questions question NNS 39713 1194 5 which which WDT 39713 1194 6 naturally naturally RB 39713 1194 7 obtrude obtrude VBP 39713 1194 8 themselves -PRON- PRP 39713 1194 9 , , , 39713 1194 10 and and CC 39713 1194 11 the the DT 39713 1194 12 difficulty difficulty NN 39713 1194 13 of of IN 39713 1194 14 solution solution NN 39713 1194 15 comes come VBZ 39713 1194 16 principally principally RB 39713 1194 17 from from IN 39713 1194 18 the the DT 39713 1194 19 fact fact NN 39713 1194 20 that that IN 39713 1194 21 the the DT 39713 1194 22 treatises treatise NNS 39713 1194 23 on on IN 39713 1194 24 mechanics mechanic NNS 39713 1194 25 do do VBP 39713 1194 26 not not RB 39713 1194 27 clearly clearly RB 39713 1194 28 distinguish distinguish VB 39713 1194 29 between between IN 39713 1194 30 what what WP 39713 1194 31 is be VBZ 39713 1194 32 experiment experiment NN 39713 1194 33 , , , 39713 1194 34 what what WP 39713 1194 35 is be VBZ 39713 1194 36 mathematical mathematical JJ 39713 1194 37 reasoning reasoning NN 39713 1194 38 , , , 39713 1194 39 what what WP 39713 1194 40 is be VBZ 39713 1194 41 convention convention NN 39713 1194 42 , , , 39713 1194 43 what what WP 39713 1194 44 is be VBZ 39713 1194 45 hypothesis hypothesis NN 39713 1194 46 . . . 39713 1195 1 That that DT 39713 1195 2 is be VBZ 39713 1195 3 not not RB 39713 1195 4 all all DT 39713 1195 5 : : : 39713 1195 6 1º 1º CD 39713 1195 7 There there EX 39713 1195 8 is be VBZ 39713 1195 9 no no DT 39713 1195 10 absolute absolute JJ 39713 1195 11 space space NN 39713 1195 12 and and CC 39713 1195 13 we -PRON- PRP 39713 1195 14 can can MD 39713 1195 15 conceive conceive VB 39713 1195 16 only only RB 39713 1195 17 of of IN 39713 1195 18 relative relative JJ 39713 1195 19 motions motion NNS 39713 1195 20 ; ; : 39713 1195 21 yet yet CC 39713 1195 22 usually usually RB 39713 1195 23 the the DT 39713 1195 24 mechanical mechanical JJ 39713 1195 25 facts fact NNS 39713 1195 26 are be VBP 39713 1195 27 enunciated enunciate VBN 39713 1195 28 as as IN 39713 1195 29 if if IN 39713 1195 30 there there EX 39713 1195 31 were be VBD 39713 1195 32 an an DT 39713 1195 33 absolute absolute JJ 39713 1195 34 space space NN 39713 1195 35 to to TO 39713 1195 36 which which WDT 39713 1195 37 to to TO 39713 1195 38 refer refer VB 39713 1195 39 them -PRON- PRP 39713 1195 40 . . . 39713 1196 1 2º 2º NNS 39713 1196 2 There there EX 39713 1196 3 is be VBZ 39713 1196 4 no no DT 39713 1196 5 absolute absolute JJ 39713 1196 6 time time NN 39713 1196 7 ; ; : 39713 1196 8 to to TO 39713 1196 9 say say VB 39713 1196 10 two two CD 39713 1196 11 durations duration NNS 39713 1196 12 are be VBP 39713 1196 13 equal equal JJ 39713 1196 14 is be VBZ 39713 1196 15 an an DT 39713 1196 16 assertion assertion NN 39713 1196 17 which which WDT 39713 1196 18 has have VBZ 39713 1196 19 by by IN 39713 1196 20 itself -PRON- PRP 39713 1196 21 no no DT 39713 1196 22 meaning meaning NN 39713 1196 23 and and CC 39713 1196 24 which which WDT 39713 1196 25 can can MD 39713 1196 26 acquire acquire VB 39713 1196 27 one one CD 39713 1196 28 only only RB 39713 1196 29 by by IN 39713 1196 30 convention convention NN 39713 1196 31 . . . 39713 1197 1 3º 3º LS 39713 1197 2 Not not RB 39713 1197 3 only only RB 39713 1197 4 have have VBP 39713 1197 5 we -PRON- PRP 39713 1197 6 no no DT 39713 1197 7 direct direct JJ 39713 1197 8 intuition intuition NN 39713 1197 9 of of IN 39713 1197 10 the the DT 39713 1197 11 equality equality NN 39713 1197 12 of of IN 39713 1197 13 two two CD 39713 1197 14 durations duration NNS 39713 1197 15 , , , 39713 1197 16 but but CC 39713 1197 17 we -PRON- PRP 39713 1197 18 have have VBP 39713 1197 19 not not RB 39713 1197 20 even even RB 39713 1197 21 direct direct JJ 39713 1197 22 intuition intuition NN 39713 1197 23 of of IN 39713 1197 24 the the DT 39713 1197 25 simultaneity simultaneity NN 39713 1197 26 of of IN 39713 1197 27 two two CD 39713 1197 28 events event NNS 39713 1197 29 occurring occur VBG 39713 1197 30 in in IN 39713 1197 31 different different JJ 39713 1197 32 places place NNS 39713 1197 33 : : : 39713 1197 34 this this DT 39713 1197 35 I -PRON- PRP 39713 1197 36 have have VBP 39713 1197 37 explained explain VBN 39713 1197 38 in in IN 39713 1197 39 an an DT 39713 1197 40 article article NN 39713 1197 41 entitled entitle VBN 39713 1197 42 _ _ NNP 39713 1197 43 La La NNP 39713 1197 44 mesure mesure NNP 39713 1197 45 du du NNP 39713 1197 46 temps temps NNP 39713 1197 47 _ _ NNP 39713 1197 48 . . . 39713 1198 1 [ [ -LRB- 39713 1198 2 3 3 CD 39713 1198 3 ] ] -RRB- 39713 1198 4 [ [ -LRB- 39713 1198 5 3 3 CD 39713 1198 6 ] ] -RRB- 39713 1198 7 _ _ NNP 39713 1198 8 Revue Revue NNP 39713 1198 9 de de NNP 39713 1198 10 Métaphysique Métaphysique NNP 39713 1198 11 et et FW 39713 1198 12 de de FW 39713 1198 13 Morale Morale NNP 39713 1198 14 _ _ NNP 39713 1198 15 , , , 39713 1198 16 t. t. NN 39713 1199 1 VI VI NNP 39713 1199 2 . . NNP 39713 1199 3 , , , 39713 1199 4 pp pp NNP 39713 1199 5 . . . 39713 1200 1 1 1 CD 39713 1200 2 - - SYM 39713 1200 3 13 13 CD 39713 1200 4 ( ( -LRB- 39713 1200 5 January January NNP 39713 1200 6 , , , 39713 1200 7 1898 1898 CD 39713 1200 8 ) ) -RRB- 39713 1200 9 . . . 39713 1201 1 4º 4º NNP 39713 1201 2 Finally finally RB 39713 1201 3 , , , 39713 1201 4 our -PRON- PRP$ 39713 1201 5 Euclidean euclidean JJ 39713 1201 6 geometry geometry NN 39713 1201 7 is be VBZ 39713 1201 8 itself -PRON- PRP 39713 1201 9 only only RB 39713 1201 10 a a DT 39713 1201 11 sort sort NN 39713 1201 12 of of IN 39713 1201 13 convention convention NN 39713 1201 14 of of IN 39713 1201 15 language language NN 39713 1201 16 ; ; : 39713 1201 17 mechanical mechanical JJ 39713 1201 18 facts fact NNS 39713 1201 19 might may MD 39713 1201 20 be be VB 39713 1201 21 enunciated enunciate VBN 39713 1201 22 with with IN 39713 1201 23 reference reference NN 39713 1201 24 to to IN 39713 1201 25 a a DT 39713 1201 26 non non JJ 39713 1201 27 - - JJ 39713 1201 28 Euclidean euclidean JJ 39713 1201 29 space space NN 39713 1201 30 which which WDT 39713 1201 31 would would MD 39713 1201 32 be be VB 39713 1201 33 a a DT 39713 1201 34 guide guide NN 39713 1201 35 less less RBR 39713 1201 36 convenient convenient JJ 39713 1201 37 than than IN 39713 1201 38 , , , 39713 1201 39 but but CC 39713 1201 40 just just RB 39713 1201 41 as as RB 39713 1201 42 legitimate legitimate JJ 39713 1201 43 as as IN 39713 1201 44 , , , 39713 1201 45 our -PRON- PRP$ 39713 1201 46 ordinary ordinary JJ 39713 1201 47 space space NN 39713 1201 48 ; ; : 39713 1201 49 the the DT 39713 1201 50 enunciation enunciation NN 39713 1201 51 would would MD 39713 1201 52 thus thus RB 39713 1201 53 become become VB 39713 1201 54 much much RB 39713 1201 55 more more RBR 39713 1201 56 complicated complicated JJ 39713 1201 57 , , , 39713 1201 58 but but CC 39713 1201 59 it -PRON- PRP 39713 1201 60 would would MD 39713 1201 61 remain remain VB 39713 1201 62 possible possible JJ 39713 1201 63 . . . 39713 1202 1 Thus thus RB 39713 1202 2 absolute absolute JJ 39713 1202 3 space space NN 39713 1202 4 , , , 39713 1202 5 absolute absolute JJ 39713 1202 6 time time NN 39713 1202 7 , , , 39713 1202 8 geometry geometry VB 39713 1202 9 itself -PRON- PRP 39713 1202 10 , , , 39713 1202 11 are be VBP 39713 1202 12 not not RB 39713 1202 13 conditions condition NNS 39713 1202 14 which which WDT 39713 1202 15 impose impose VBP 39713 1202 16 themselves -PRON- PRP 39713 1202 17 on on IN 39713 1202 18 mechanics mechanic NNS 39713 1202 19 ; ; , 39713 1202 20 all all PDT 39713 1202 21 these these DT 39713 1202 22 things thing NNS 39713 1202 23 are be VBP 39713 1202 24 no no RB 39713 1202 25 more more JJR 39713 1202 26 antecedent antecedent NN 39713 1202 27 to to IN 39713 1202 28 mechanics mechanic NNS 39713 1202 29 than than IN 39713 1202 30 the the DT 39713 1202 31 French french JJ 39713 1202 32 language language NN 39713 1202 33 is be VBZ 39713 1202 34 logically logically RB 39713 1202 35 antecedent antecedent NN 39713 1202 36 to to IN 39713 1202 37 the the DT 39713 1202 38 verities verity NNS 39713 1202 39 one one CD 39713 1202 40 expresses express NNS 39713 1202 41 in in IN 39713 1202 42 French French NNP 39713 1202 43 . . . 39713 1203 1 We -PRON- PRP 39713 1203 2 might may MD 39713 1203 3 try try VB 39713 1203 4 to to TO 39713 1203 5 enunciate enunciate VB 39713 1203 6 the the DT 39713 1203 7 fundamental fundamental JJ 39713 1203 8 laws law NNS 39713 1203 9 of of IN 39713 1203 10 mechanics mechanic NNS 39713 1203 11 in in IN 39713 1203 12 a a DT 39713 1203 13 language language NN 39713 1203 14 independent independent JJ 39713 1203 15 of of IN 39713 1203 16 all all PDT 39713 1203 17 these these DT 39713 1203 18 conventions convention NNS 39713 1203 19 ; ; : 39713 1203 20 we -PRON- PRP 39713 1203 21 should should MD 39713 1203 22 thus thus RB 39713 1203 23 without without IN 39713 1203 24 doubt doubt NN 39713 1203 25 get get VBP 39713 1203 26 a a DT 39713 1203 27 better well JJR 39713 1203 28 idea idea NN 39713 1203 29 of of IN 39713 1203 30 what what WP 39713 1203 31 these these DT 39713 1203 32 laws law NNS 39713 1203 33 are be VBP 39713 1203 34 in in IN 39713 1203 35 themselves -PRON- PRP 39713 1203 36 ; ; : 39713 1203 37 this this DT 39713 1203 38 is be VBZ 39713 1203 39 what what WP 39713 1203 40 M. M. NNP 39713 1203 41 Andrade Andrade NNP 39713 1203 42 has have VBZ 39713 1203 43 attempted attempt VBN 39713 1203 44 to to TO 39713 1203 45 do do VB 39713 1203 46 , , , 39713 1203 47 at at IN 39713 1203 48 least least JJS 39713 1203 49 in in IN 39713 1203 50 part part NN 39713 1203 51 , , , 39713 1203 52 in in IN 39713 1203 53 his -PRON- PRP$ 39713 1203 54 _ _ NNP 39713 1203 55 Leçons Leçons NNP 39713 1203 56 de de NNP 39713 1203 57 mécanique mécanique NNP 39713 1203 58 physique physique NNP 39713 1203 59 _ _ NNP 39713 1203 60 . . . 39713 1204 1 The the DT 39713 1204 2 enunciation enunciation NN 39713 1204 3 of of IN 39713 1204 4 these these DT 39713 1204 5 laws law NNS 39713 1204 6 would would MD 39713 1204 7 become become VB 39713 1204 8 of of RB 39713 1204 9 course course RB 39713 1204 10 much much RB 39713 1204 11 more more RBR 39713 1204 12 complicated complicated JJ 39713 1204 13 , , , 39713 1204 14 because because IN 39713 1204 15 all all PDT 39713 1204 16 these these DT 39713 1204 17 conventions convention NNS 39713 1204 18 have have VBP 39713 1204 19 been be VBN 39713 1204 20 devised devise VBN 39713 1204 21 expressly expressly RB 39713 1204 22 to to TO 39713 1204 23 abridge abridge VB 39713 1204 24 and and CC 39713 1204 25 simplify simplify VB 39713 1204 26 this this DT 39713 1204 27 enunciation enunciation NN 39713 1204 28 . . . 39713 1205 1 As as IN 39713 1205 2 for for IN 39713 1205 3 me -PRON- PRP 39713 1205 4 , , , 39713 1205 5 save save VB 39713 1205 6 in in IN 39713 1205 7 what what WP 39713 1205 8 concerns concern VBZ 39713 1205 9 absolute absolute JJ 39713 1205 10 space space NN 39713 1205 11 , , , 39713 1205 12 I -PRON- PRP 39713 1205 13 shall shall MD 39713 1205 14 ignore ignore VB 39713 1205 15 all all PDT 39713 1205 16 these these DT 39713 1205 17 difficulties difficulty NNS 39713 1205 18 ; ; : 39713 1205 19 not not RB 39713 1205 20 that that IN 39713 1205 21 I -PRON- PRP 39713 1205 22 fail fail VBP 39713 1205 23 to to TO 39713 1205 24 appreciate appreciate VB 39713 1205 25 them -PRON- PRP 39713 1205 26 , , , 39713 1205 27 far far RB 39713 1205 28 from from IN 39713 1205 29 that that DT 39713 1205 30 ; ; : 39713 1205 31 but but CC 39713 1205 32 we -PRON- PRP 39713 1205 33 have have VBP 39713 1205 34 sufficiently sufficiently RB 39713 1205 35 examined examine VBN 39713 1205 36 them -PRON- PRP 39713 1205 37 in in IN 39713 1205 38 the the DT 39713 1205 39 first first JJ 39713 1205 40 two two CD 39713 1205 41 parts part NNS 39713 1205 42 of of IN 39713 1205 43 the the DT 39713 1205 44 book book NN 39713 1205 45 . . . 39713 1206 1 I -PRON- PRP 39713 1206 2 shall shall MD 39713 1206 3 therefore therefore RB 39713 1206 4 admit admit VB 39713 1206 5 , , , 39713 1206 6 _ _ NNP 39713 1206 7 provisionally provisionally RB 39713 1206 8 _ _ NNP 39713 1206 9 , , , 39713 1206 10 absolute absolute JJ 39713 1206 11 time time NN 39713 1206 12 and and CC 39713 1206 13 Euclidean euclidean JJ 39713 1206 14 geometry geometry NN 39713 1206 15 . . . 39713 1207 1 THE the DT 39713 1207 2 PRINCIPLE PRINCIPLE NNP 39713 1207 3 OF of IN 39713 1207 4 INERTIA.--A inertia.--a CD 39713 1207 5 body body NN 39713 1207 6 acted act VBN 39713 1207 7 on on RP 39713 1207 8 by by IN 39713 1207 9 no no DT 39713 1207 10 force force NN 39713 1207 11 can can MD 39713 1207 12 only only RB 39713 1207 13 move move VB 39713 1207 14 uniformly uniformly RB 39713 1207 15 in in IN 39713 1207 16 a a DT 39713 1207 17 straight straight JJ 39713 1207 18 line line NN 39713 1207 19 . . . 39713 1208 1 Is be VBZ 39713 1208 2 this this DT 39713 1208 3 a a DT 39713 1208 4 truth truth NN 39713 1208 5 imposed impose VBN 39713 1208 6 _ _ NNP 39713 1208 7 a a DT 39713 1208 8 priori priori FW 39713 1208 9 _ _ NNP 39713 1208 10 upon upon IN 39713 1208 11 the the DT 39713 1208 12 mind mind NN 39713 1208 13 ? ? . 39713 1209 1 If if IN 39713 1209 2 it -PRON- PRP 39713 1209 3 were be VBD 39713 1209 4 so so RB 39713 1209 5 , , , 39713 1209 6 how how WRB 39713 1209 7 should should MD 39713 1209 8 the the DT 39713 1209 9 Greeks Greeks NNPS 39713 1209 10 have have VBP 39713 1209 11 failed fail VBN 39713 1209 12 to to TO 39713 1209 13 recognize recognize VB 39713 1209 14 it -PRON- PRP 39713 1209 15 ? ? . 39713 1210 1 How how WRB 39713 1210 2 could could MD 39713 1210 3 they -PRON- PRP 39713 1210 4 have have VB 39713 1210 5 believed believe VBN 39713 1210 6 that that IN 39713 1210 7 motion motion NN 39713 1210 8 stops stop VBZ 39713 1210 9 when when WRB 39713 1210 10 the the DT 39713 1210 11 cause cause NN 39713 1210 12 which which WDT 39713 1210 13 gave give VBD 39713 1210 14 birth birth NN 39713 1210 15 to to IN 39713 1210 16 it -PRON- PRP 39713 1210 17 ceases cease VBZ 39713 1210 18 ? ? . 39713 1211 1 Or or CC 39713 1211 2 again again RB 39713 1211 3 that that IN 39713 1211 4 every every DT 39713 1211 5 body body NN 39713 1211 6 if if IN 39713 1211 7 nothing nothing NN 39713 1211 8 prevents prevent NNS 39713 1211 9 , , , 39713 1211 10 will will MD 39713 1211 11 move move VB 39713 1211 12 in in IN 39713 1211 13 a a DT 39713 1211 14 circle circle NN 39713 1211 15 , , , 39713 1211 16 the the DT 39713 1211 17 noblest noble JJS 39713 1211 18 of of IN 39713 1211 19 motions motion NNS 39713 1211 20 ? ? . 39713 1212 1 If if IN 39713 1212 2 it -PRON- PRP 39713 1212 3 is be VBZ 39713 1212 4 said say VBN 39713 1212 5 that that IN 39713 1212 6 the the DT 39713 1212 7 velocity velocity NN 39713 1212 8 of of IN 39713 1212 9 a a DT 39713 1212 10 body body NN 39713 1212 11 can can MD 39713 1212 12 not not RB 39713 1212 13 change change VB 39713 1212 14 if if IN 39713 1212 15 there there EX 39713 1212 16 is be VBZ 39713 1212 17 no no DT 39713 1212 18 reason reason NN 39713 1212 19 for for IN 39713 1212 20 it -PRON- PRP 39713 1212 21 to to TO 39713 1212 22 change change VB 39713 1212 23 , , , 39713 1212 24 could could MD 39713 1212 25 it -PRON- PRP 39713 1212 26 not not RB 39713 1212 27 be be VB 39713 1212 28 maintained maintain VBN 39713 1212 29 just just RB 39713 1212 30 as as RB 39713 1212 31 well well RB 39713 1212 32 that that IN 39713 1212 33 the the DT 39713 1212 34 position position NN 39713 1212 35 of of IN 39713 1212 36 this this DT 39713 1212 37 body body NN 39713 1212 38 can can MD 39713 1212 39 not not RB 39713 1212 40 change change VB 39713 1212 41 , , , 39713 1212 42 or or CC 39713 1212 43 that that IN 39713 1212 44 the the DT 39713 1212 45 curvature curvature NN 39713 1212 46 of of IN 39713 1212 47 its -PRON- PRP$ 39713 1212 48 trajectory trajectory NN 39713 1212 49 can can MD 39713 1212 50 not not RB 39713 1212 51 change change VB 39713 1212 52 , , , 39713 1212 53 if if IN 39713 1212 54 no no DT 39713 1212 55 external external JJ 39713 1212 56 cause cause NN 39713 1212 57 intervenes intervene VBZ 39713 1212 58 to to TO 39713 1212 59 modify modify VB 39713 1212 60 them -PRON- PRP 39713 1212 61 ? ? . 39713 1213 1 Is be VBZ 39713 1213 2 the the DT 39713 1213 3 principle principle NN 39713 1213 4 of of IN 39713 1213 5 inertia inertia NN 39713 1213 6 , , , 39713 1213 7 which which WDT 39713 1213 8 is be VBZ 39713 1213 9 not not RB 39713 1213 10 an an DT 39713 1213 11 _ _ NNP 39713 1213 12 a a DT 39713 1213 13 priori priori FW 39713 1213 14 _ _ NNP 39713 1213 15 truth truth NN 39713 1213 16 , , , 39713 1213 17 therefore therefore RB 39713 1213 18 an an DT 39713 1213 19 experimental experimental JJ 39713 1213 20 fact fact NN 39713 1213 21 ? ? . 39713 1214 1 But but CC 39713 1214 2 has have VBZ 39713 1214 3 any any DT 39713 1214 4 one one CD 39713 1214 5 ever ever RB 39713 1214 6 experimented experiment VBN 39713 1214 7 on on IN 39713 1214 8 bodies body NNS 39713 1214 9 withdrawn withdraw VBN 39713 1214 10 from from IN 39713 1214 11 the the DT 39713 1214 12 action action NN 39713 1214 13 of of IN 39713 1214 14 every every DT 39713 1214 15 force force NN 39713 1214 16 ? ? . 39713 1215 1 and and CC 39713 1215 2 , , , 39713 1215 3 if if IN 39713 1215 4 so so RB 39713 1215 5 , , , 39713 1215 6 how how WRB 39713 1215 7 was be VBD 39713 1215 8 it -PRON- PRP 39713 1215 9 known know VBN 39713 1215 10 that that IN 39713 1215 11 these these DT 39713 1215 12 bodies body NNS 39713 1215 13 were be VBD 39713 1215 14 subjected subject VBN 39713 1215 15 to to IN 39713 1215 16 no no DT 39713 1215 17 force force NN 39713 1215 18 ? ? . 39713 1216 1 The the DT 39713 1216 2 example example NN 39713 1216 3 ordinarily ordinarily RB 39713 1216 4 cited cite VBD 39713 1216 5 is be VBZ 39713 1216 6 that that DT 39713 1216 7 of of IN 39713 1216 8 a a DT 39713 1216 9 ball ball NN 39713 1216 10 rolling roll VBG 39713 1216 11 a a DT 39713 1216 12 very very RB 39713 1216 13 long long JJ 39713 1216 14 time time NN 39713 1216 15 on on IN 39713 1216 16 a a DT 39713 1216 17 marble marble NN 39713 1216 18 table table NN 39713 1216 19 ; ; : 39713 1216 20 but but CC 39713 1216 21 why why WRB 39713 1216 22 do do VBP 39713 1216 23 we -PRON- PRP 39713 1216 24 say say VB 39713 1216 25 it -PRON- PRP 39713 1216 26 is be VBZ 39713 1216 27 subjected subject VBN 39713 1216 28 to to IN 39713 1216 29 no no DT 39713 1216 30 force force NN 39713 1216 31 ? ? . 39713 1217 1 Is be VBZ 39713 1217 2 this this DT 39713 1217 3 because because IN 39713 1217 4 it -PRON- PRP 39713 1217 5 is be VBZ 39713 1217 6 too too RB 39713 1217 7 remote remote JJ 39713 1217 8 from from IN 39713 1217 9 all all DT 39713 1217 10 other other JJ 39713 1217 11 bodies body NNS 39713 1217 12 to to TO 39713 1217 13 experience experience VB 39713 1217 14 any any DT 39713 1217 15 appreciable appreciable JJ 39713 1217 16 action action NN 39713 1217 17 from from IN 39713 1217 18 them -PRON- PRP 39713 1217 19 ? ? . 39713 1218 1 Yet yet CC 39713 1218 2 it -PRON- PRP 39713 1218 3 is be VBZ 39713 1218 4 not not RB 39713 1218 5 farther farther RB 39713 1218 6 from from IN 39713 1218 7 the the DT 39713 1218 8 earth earth NN 39713 1218 9 than than IN 39713 1218 10 if if IN 39713 1218 11 it -PRON- PRP 39713 1218 12 were be VBD 39713 1218 13 thrown throw VBN 39713 1218 14 freely freely RB 39713 1218 15 into into IN 39713 1218 16 the the DT 39713 1218 17 air air NN 39713 1218 18 ; ; : 39713 1218 19 and and CC 39713 1218 20 every every DT 39713 1218 21 one one NN 39713 1218 22 knows know VBZ 39713 1218 23 that that IN 39713 1218 24 in in IN 39713 1218 25 this this DT 39713 1218 26 case case NN 39713 1218 27 it -PRON- PRP 39713 1218 28 would would MD 39713 1218 29 experience experience VB 39713 1218 30 the the DT 39713 1218 31 influence influence NN 39713 1218 32 of of IN 39713 1218 33 gravity gravity NN 39713 1218 34 due due IN 39713 1218 35 to to IN 39713 1218 36 the the DT 39713 1218 37 attraction attraction NN 39713 1218 38 of of IN 39713 1218 39 the the DT 39713 1218 40 earth earth NN 39713 1218 41 . . . 39713 1219 1 Teachers teacher NNS 39713 1219 2 of of IN 39713 1219 3 mechanics mechanic NNS 39713 1219 4 usually usually RB 39713 1219 5 pass pass VBP 39713 1219 6 rapidly rapidly RB 39713 1219 7 over over IN 39713 1219 8 the the DT 39713 1219 9 example example NN 39713 1219 10 of of IN 39713 1219 11 the the DT 39713 1219 12 ball ball NN 39713 1219 13 ; ; : 39713 1219 14 but but CC 39713 1219 15 they -PRON- PRP 39713 1219 16 add add VBP 39713 1219 17 that that IN 39713 1219 18 the the DT 39713 1219 19 principle principle NN 39713 1219 20 of of IN 39713 1219 21 inertia inertia NN 39713 1219 22 is be VBZ 39713 1219 23 verified verify VBN 39713 1219 24 indirectly indirectly RB 39713 1219 25 by by IN 39713 1219 26 its -PRON- PRP$ 39713 1219 27 consequences consequence NNS 39713 1219 28 . . . 39713 1220 1 They -PRON- PRP 39713 1220 2 express express VBP 39713 1220 3 themselves -PRON- PRP 39713 1220 4 badly badly RB 39713 1220 5 ; ; : 39713 1220 6 they -PRON- PRP 39713 1220 7 evidently evidently RB 39713 1220 8 mean mean VBP 39713 1220 9 it -PRON- PRP 39713 1220 10 is be VBZ 39713 1220 11 possible possible JJ 39713 1220 12 to to TO 39713 1220 13 verify verify VB 39713 1220 14 various various JJ 39713 1220 15 consequences consequence NNS 39713 1220 16 of of IN 39713 1220 17 a a DT 39713 1220 18 more more RBR 39713 1220 19 general general JJ 39713 1220 20 principle principle NN 39713 1220 21 , , , 39713 1220 22 of of IN 39713 1220 23 which which WDT 39713 1220 24 that that DT 39713 1220 25 of of IN 39713 1220 26 inertia inertia NN 39713 1220 27 is be VBZ 39713 1220 28 only only RB 39713 1220 29 a a DT 39713 1220 30 particular particular JJ 39713 1220 31 case case NN 39713 1220 32 . . . 39713 1221 1 I -PRON- PRP 39713 1221 2 shall shall MD 39713 1221 3 propose propose VB 39713 1221 4 for for IN 39713 1221 5 this this DT 39713 1221 6 general general JJ 39713 1221 7 principle principle NN 39713 1221 8 the the DT 39713 1221 9 following following JJ 39713 1221 10 enunciation enunciation NN 39713 1221 11 : : : 39713 1221 12 The the DT 39713 1221 13 acceleration acceleration NN 39713 1221 14 of of IN 39713 1221 15 a a DT 39713 1221 16 body body NN 39713 1221 17 depends depend VBZ 39713 1221 18 only only RB 39713 1221 19 upon upon IN 39713 1221 20 the the DT 39713 1221 21 position position NN 39713 1221 22 of of IN 39713 1221 23 this this DT 39713 1221 24 body body NN 39713 1221 25 and and CC 39713 1221 26 of of IN 39713 1221 27 the the DT 39713 1221 28 neighboring neighbor VBG 39713 1221 29 bodies body NNS 39713 1221 30 and and CC 39713 1221 31 upon upon IN 39713 1221 32 their -PRON- PRP$ 39713 1221 33 velocities velocity NNS 39713 1221 34 . . . 39713 1222 1 Mathematicians mathematician NNS 39713 1222 2 would would MD 39713 1222 3 say say VB 39713 1222 4 the the DT 39713 1222 5 movements movement NNS 39713 1222 6 of of IN 39713 1222 7 all all PDT 39713 1222 8 the the DT 39713 1222 9 material material JJ 39713 1222 10 molecules molecule NNS 39713 1222 11 of of IN 39713 1222 12 the the DT 39713 1222 13 universe universe NN 39713 1222 14 depend depend VBP 39713 1222 15 on on IN 39713 1222 16 differential differential JJ 39713 1222 17 equations equation NNS 39713 1222 18 of of IN 39713 1222 19 the the DT 39713 1222 20 second second JJ 39713 1222 21 order order NN 39713 1222 22 . . . 39713 1223 1 To to TO 39713 1223 2 make make VB 39713 1223 3 it -PRON- PRP 39713 1223 4 clear clear JJ 39713 1223 5 that that IN 39713 1223 6 this this DT 39713 1223 7 is be VBZ 39713 1223 8 really really RB 39713 1223 9 the the DT 39713 1223 10 natural natural JJ 39713 1223 11 generalization generalization NN 39713 1223 12 of of IN 39713 1223 13 the the DT 39713 1223 14 law law NN 39713 1223 15 of of IN 39713 1223 16 inertia inertia NN 39713 1223 17 , , , 39713 1223 18 I -PRON- PRP 39713 1223 19 shall shall MD 39713 1223 20 beg beg VB 39713 1223 21 you -PRON- PRP 39713 1223 22 to to TO 39713 1223 23 permit permit VB 39713 1223 24 me -PRON- PRP 39713 1223 25 a a DT 39713 1223 26 bit bit NN 39713 1223 27 of of IN 39713 1223 28 fiction fiction NN 39713 1223 29 . . . 39713 1224 1 The the DT 39713 1224 2 law law NN 39713 1224 3 of of IN 39713 1224 4 inertia inertia NN 39713 1224 5 , , , 39713 1224 6 as as IN 39713 1224 7 I -PRON- PRP 39713 1224 8 have have VBP 39713 1224 9 said say VBD 39713 1224 10 above above RB 39713 1224 11 , , , 39713 1224 12 is be VBZ 39713 1224 13 not not RB 39713 1224 14 imposed impose VBN 39713 1224 15 upon upon IN 39713 1224 16 us -PRON- PRP 39713 1224 17 _ _ NNP 39713 1224 18 a a DT 39713 1224 19 priori priori FW 39713 1224 20 _ _ NNP 39713 1224 21 ; ; : 39713 1224 22 other other JJ 39713 1224 23 laws law NNS 39713 1224 24 would would MD 39713 1224 25 be be VB 39713 1224 26 quite quite RB 39713 1224 27 as as RB 39713 1224 28 compatible compatible JJ 39713 1224 29 with with IN 39713 1224 30 the the DT 39713 1224 31 principle principle NN 39713 1224 32 of of IN 39713 1224 33 sufficient sufficient JJ 39713 1224 34 reason reason NN 39713 1224 35 . . . 39713 1225 1 If if IN 39713 1225 2 a a DT 39713 1225 3 body body NN 39713 1225 4 is be VBZ 39713 1225 5 subjected subject VBN 39713 1225 6 to to IN 39713 1225 7 no no DT 39713 1225 8 force force NN 39713 1225 9 , , , 39713 1225 10 in in IN 39713 1225 11 lieu lieu NN 39713 1225 12 of of IN 39713 1225 13 supposing suppose VBG 39713 1225 14 its -PRON- PRP$ 39713 1225 15 velocity velocity NN 39713 1225 16 not not RB 39713 1225 17 to to TO 39713 1225 18 change change VB 39713 1225 19 , , , 39713 1225 20 it -PRON- PRP 39713 1225 21 might may MD 39713 1225 22 be be VB 39713 1225 23 supposed suppose VBN 39713 1225 24 that that IN 39713 1225 25 it -PRON- PRP 39713 1225 26 is be VBZ 39713 1225 27 its -PRON- PRP$ 39713 1225 28 position position NN 39713 1225 29 or or CC 39713 1225 30 else else RB 39713 1225 31 its -PRON- PRP$ 39713 1225 32 acceleration acceleration NN 39713 1225 33 which which WDT 39713 1225 34 is be VBZ 39713 1225 35 not not RB 39713 1225 36 to to TO 39713 1225 37 change change VB 39713 1225 38 . . . 39713 1226 1 Well well UH 39713 1226 2 , , , 39713 1226 3 imagine imagine VB 39713 1226 4 for for IN 39713 1226 5 an an DT 39713 1226 6 instant instant NN 39713 1226 7 that that IN 39713 1226 8 one one CD 39713 1226 9 of of IN 39713 1226 10 these these DT 39713 1226 11 two two CD 39713 1226 12 hypothetical hypothetical JJ 39713 1226 13 laws law NNS 39713 1226 14 is be VBZ 39713 1226 15 a a DT 39713 1226 16 law law NN 39713 1226 17 of of IN 39713 1226 18 nature nature NN 39713 1226 19 and and CC 39713 1226 20 replaces replace VBZ 39713 1226 21 our -PRON- PRP$ 39713 1226 22 law law NN 39713 1226 23 of of IN 39713 1226 24 inertia inertia NN 39713 1226 25 . . . 39713 1227 1 What what WP 39713 1227 2 would would MD 39713 1227 3 be be VB 39713 1227 4 its -PRON- PRP$ 39713 1227 5 natural natural JJ 39713 1227 6 generalization generalization NN 39713 1227 7 ? ? . 39713 1228 1 A a DT 39713 1228 2 moment moment NN 39713 1228 3 's 's POS 39713 1228 4 thought thought NN 39713 1228 5 will will MD 39713 1228 6 show show VB 39713 1228 7 us -PRON- PRP 39713 1228 8 . . . 39713 1229 1 In in IN 39713 1229 2 the the DT 39713 1229 3 first first JJ 39713 1229 4 case case NN 39713 1229 5 , , , 39713 1229 6 we -PRON- PRP 39713 1229 7 must must MD 39713 1229 8 suppose suppose VB 39713 1229 9 that that IN 39713 1229 10 the the DT 39713 1229 11 velocity velocity NN 39713 1229 12 of of IN 39713 1229 13 a a DT 39713 1229 14 body body NN 39713 1229 15 depends depend VBZ 39713 1229 16 only only RB 39713 1229 17 upon upon IN 39713 1229 18 its -PRON- PRP$ 39713 1229 19 position position NN 39713 1229 20 and and CC 39713 1229 21 upon upon IN 39713 1229 22 that that DT 39713 1229 23 of of IN 39713 1229 24 the the DT 39713 1229 25 neighboring neighboring NN 39713 1229 26 bodies body NNS 39713 1229 27 ; ; : 39713 1229 28 in in IN 39713 1229 29 the the DT 39713 1229 30 second second JJ 39713 1229 31 case case NN 39713 1229 32 that that IN 39713 1229 33 the the DT 39713 1229 34 change change NN 39713 1229 35 of of IN 39713 1229 36 acceleration acceleration NN 39713 1229 37 of of IN 39713 1229 38 a a DT 39713 1229 39 body body NN 39713 1229 40 depends depend VBZ 39713 1229 41 only only RB 39713 1229 42 upon upon IN 39713 1229 43 the the DT 39713 1229 44 position position NN 39713 1229 45 of of IN 39713 1229 46 this this DT 39713 1229 47 body body NN 39713 1229 48 and and CC 39713 1229 49 of of IN 39713 1229 50 the the DT 39713 1229 51 neighboring neighboring NN 39713 1229 52 bodies body NNS 39713 1229 53 , , , 39713 1229 54 upon upon IN 39713 1229 55 their -PRON- PRP$ 39713 1229 56 velocities velocity NNS 39713 1229 57 and and CC 39713 1229 58 upon upon IN 39713 1229 59 their -PRON- PRP$ 39713 1229 60 accelerations acceleration NNS 39713 1229 61 . . . 39713 1230 1 Or or CC 39713 1230 2 to to TO 39713 1230 3 speak speak VB 39713 1230 4 the the DT 39713 1230 5 language language NN 39713 1230 6 of of IN 39713 1230 7 mathematics mathematic NNS 39713 1230 8 , , , 39713 1230 9 the the DT 39713 1230 10 differential differential NN 39713 1230 11 equations equation NNS 39713 1230 12 of of IN 39713 1230 13 motion motion NN 39713 1230 14 would would MD 39713 1230 15 be be VB 39713 1230 16 of of IN 39713 1230 17 the the DT 39713 1230 18 first first JJ 39713 1230 19 order order NN 39713 1230 20 in in IN 39713 1230 21 the the DT 39713 1230 22 first first JJ 39713 1230 23 case case NN 39713 1230 24 , , , 39713 1230 25 and and CC 39713 1230 26 of of IN 39713 1230 27 the the DT 39713 1230 28 third third JJ 39713 1230 29 order order NN 39713 1230 30 in in IN 39713 1230 31 the the DT 39713 1230 32 second second JJ 39713 1230 33 case case NN 39713 1230 34 . . . 39713 1231 1 Let let VB 39713 1231 2 us -PRON- PRP 39713 1231 3 slightly slightly RB 39713 1231 4 modify modify VB 39713 1231 5 our -PRON- PRP$ 39713 1231 6 fiction fiction NN 39713 1231 7 . . . 39713 1232 1 Suppose suppose VB 39713 1232 2 a a DT 39713 1232 3 world world NN 39713 1232 4 analogous analogous JJ 39713 1232 5 to to IN 39713 1232 6 our -PRON- PRP$ 39713 1232 7 solar solar JJ 39713 1232 8 system system NN 39713 1232 9 , , , 39713 1232 10 but but CC 39713 1232 11 where where WRB 39713 1232 12 , , , 39713 1232 13 by by IN 39713 1232 14 a a DT 39713 1232 15 strange strange JJ 39713 1232 16 chance chance NN 39713 1232 17 , , , 39713 1232 18 the the DT 39713 1232 19 orbits orbit NNS 39713 1232 20 of of IN 39713 1232 21 all all PDT 39713 1232 22 the the DT 39713 1232 23 planets planet NNS 39713 1232 24 are be VBP 39713 1232 25 without without IN 39713 1232 26 eccentricity eccentricity NN 39713 1232 27 and and CC 39713 1232 28 without without IN 39713 1232 29 inclination inclination NN 39713 1232 30 . . . 39713 1233 1 Suppose suppose VB 39713 1233 2 further further RB 39713 1233 3 that that IN 39713 1233 4 the the DT 39713 1233 5 masses masse NNS 39713 1233 6 of of IN 39713 1233 7 these these DT 39713 1233 8 planets planet NNS 39713 1233 9 are be VBP 39713 1233 10 too too RB 39713 1233 11 slight slight JJ 39713 1233 12 for for IN 39713 1233 13 their -PRON- PRP$ 39713 1233 14 mutual mutual JJ 39713 1233 15 perturbations perturbation NNS 39713 1233 16 to to TO 39713 1233 17 be be VB 39713 1233 18 sensible sensible JJ 39713 1233 19 . . . 39713 1234 1 Astronomers astronomer NNS 39713 1234 2 inhabiting inhabit VBG 39713 1234 3 one one CD 39713 1234 4 of of IN 39713 1234 5 these these DT 39713 1234 6 planets planet NNS 39713 1234 7 could could MD 39713 1234 8 not not RB 39713 1234 9 fail fail VB 39713 1234 10 to to TO 39713 1234 11 conclude conclude VB 39713 1234 12 that that IN 39713 1234 13 the the DT 39713 1234 14 orbit orbit NN 39713 1234 15 of of IN 39713 1234 16 a a DT 39713 1234 17 star star NN 39713 1234 18 can can MD 39713 1234 19 only only RB 39713 1234 20 be be VB 39713 1234 21 circular circular JJ 39713 1234 22 and and CC 39713 1234 23 parallel parallel JJ 39713 1234 24 to to IN 39713 1234 25 a a DT 39713 1234 26 certain certain JJ 39713 1234 27 plane plane NN 39713 1234 28 ; ; : 39713 1234 29 the the DT 39713 1234 30 position position NN 39713 1234 31 of of IN 39713 1234 32 a a DT 39713 1234 33 star star NN 39713 1234 34 at at IN 39713 1234 35 a a DT 39713 1234 36 given give VBN 39713 1234 37 instant instant NN 39713 1234 38 would would MD 39713 1234 39 then then RB 39713 1234 40 suffice suffice VB 39713 1234 41 to to TO 39713 1234 42 determine determine VB 39713 1234 43 its -PRON- PRP$ 39713 1234 44 velocity velocity NN 39713 1234 45 and and CC 39713 1234 46 its -PRON- PRP$ 39713 1234 47 whole whole JJ 39713 1234 48 path path NN 39713 1234 49 . . . 39713 1235 1 The the DT 39713 1235 2 law law NN 39713 1235 3 of of IN 39713 1235 4 inertia inertia NN 39713 1235 5 which which WDT 39713 1235 6 they -PRON- PRP 39713 1235 7 would would MD 39713 1235 8 adopt adopt VB 39713 1235 9 would would MD 39713 1235 10 be be VB 39713 1235 11 the the DT 39713 1235 12 first first JJ 39713 1235 13 of of IN 39713 1235 14 the the DT 39713 1235 15 two two CD 39713 1235 16 hypothetical hypothetical JJ 39713 1235 17 laws law NNS 39713 1235 18 I -PRON- PRP 39713 1235 19 have have VBP 39713 1235 20 mentioned mention VBN 39713 1235 21 . . . 39713 1236 1 Imagine imagine VB 39713 1236 2 now now RB 39713 1236 3 that that IN 39713 1236 4 this this DT 39713 1236 5 system system NN 39713 1236 6 is be VBZ 39713 1236 7 some some DT 39713 1236 8 day day NN 39713 1236 9 traversed traverse VBN 39713 1236 10 with with IN 39713 1236 11 great great JJ 39713 1236 12 velocity velocity NN 39713 1236 13 by by IN 39713 1236 14 a a DT 39713 1236 15 body body NN 39713 1236 16 of of IN 39713 1236 17 vast vast JJ 39713 1236 18 mass mass NN 39713 1236 19 , , , 39713 1236 20 coming come VBG 39713 1236 21 from from IN 39713 1236 22 distant distant JJ 39713 1236 23 constellations constellation NNS 39713 1236 24 . . . 39713 1237 1 All all PDT 39713 1237 2 the the DT 39713 1237 3 orbits orbit NNS 39713 1237 4 would would MD 39713 1237 5 be be VB 39713 1237 6 profoundly profoundly RB 39713 1237 7 disturbed disturb VBN 39713 1237 8 . . . 39713 1238 1 Still still RB 39713 1238 2 our -PRON- PRP$ 39713 1238 3 astronomers astronomer NNS 39713 1238 4 would would MD 39713 1238 5 not not RB 39713 1238 6 be be VB 39713 1238 7 too too RB 39713 1238 8 greatly greatly RB 39713 1238 9 astonished astonished JJ 39713 1238 10 ; ; : 39713 1238 11 they -PRON- PRP 39713 1238 12 would would MD 39713 1238 13 very very RB 39713 1238 14 well well RB 39713 1238 15 divine divine JJ 39713 1238 16 that that IN 39713 1238 17 this this DT 39713 1238 18 new new JJ 39713 1238 19 star star NN 39713 1238 20 was be VBD 39713 1238 21 alone alone JJ 39713 1238 22 to to TO 39713 1238 23 blame blame VB 39713 1238 24 for for IN 39713 1238 25 all all PDT 39713 1238 26 the the DT 39713 1238 27 mischief mischief NN 39713 1238 28 . . . 39713 1239 1 " " `` 39713 1239 2 But but CC 39713 1239 3 , , , 39713 1239 4 " " '' 39713 1239 5 they -PRON- PRP 39713 1239 6 would would MD 39713 1239 7 say say VB 39713 1239 8 , , , 39713 1239 9 " " `` 39713 1239 10 when when WRB 39713 1239 11 it -PRON- PRP 39713 1239 12 is be VBZ 39713 1239 13 gone go VBN 39713 1239 14 , , , 39713 1239 15 order order NN 39713 1239 16 will will MD 39713 1239 17 of of IN 39713 1239 18 itself -PRON- PRP 39713 1239 19 be be VB 39713 1239 20 reestablished reestablish VBN 39713 1239 21 ; ; : 39713 1239 22 no no RB 39713 1239 23 doubt doubt RB 39713 1239 24 the the DT 39713 1239 25 distances distance NNS 39713 1239 26 of of IN 39713 1239 27 the the DT 39713 1239 28 planets planet NNS 39713 1239 29 from from IN 39713 1239 30 the the DT 39713 1239 31 sun sun NN 39713 1239 32 will will MD 39713 1239 33 not not RB 39713 1239 34 revert revert VB 39713 1239 35 to to IN 39713 1239 36 what what WP 39713 1239 37 they -PRON- PRP 39713 1239 38 were be VBD 39713 1239 39 before before IN 39713 1239 40 the the DT 39713 1239 41 cataclysm cataclysm NNS 39713 1239 42 , , , 39713 1239 43 but but CC 39713 1239 44 when when WRB 39713 1239 45 the the DT 39713 1239 46 perturbing perturb VBG 39713 1239 47 star star NN 39713 1239 48 is be VBZ 39713 1239 49 gone go VBN 39713 1239 50 , , , 39713 1239 51 the the DT 39713 1239 52 orbits orbit NNS 39713 1239 53 will will MD 39713 1239 54 again again RB 39713 1239 55 become become VB 39713 1239 56 circular circular JJ 39713 1239 57 . . . 39713 1239 58 " " '' 39713 1240 1 It -PRON- PRP 39713 1240 2 would would MD 39713 1240 3 only only RB 39713 1240 4 be be VB 39713 1240 5 when when WRB 39713 1240 6 the the DT 39713 1240 7 disturbing disturbing JJ 39713 1240 8 body body NN 39713 1240 9 was be VBD 39713 1240 10 gone go VBN 39713 1240 11 and and CC 39713 1240 12 when when WRB 39713 1240 13 nevertheless nevertheless RB 39713 1240 14 the the DT 39713 1240 15 orbits orbit NNS 39713 1240 16 , , , 39713 1240 17 in in IN 39713 1240 18 lieu lieu NN 39713 1240 19 of of IN 39713 1240 20 again again RB 39713 1240 21 becoming become VBG 39713 1240 22 circular circular JJ 39713 1240 23 , , , 39713 1240 24 became become VBD 39713 1240 25 elliptic elliptic JJ 39713 1240 26 , , , 39713 1240 27 that that IN 39713 1240 28 these these DT 39713 1240 29 astronomers astronomer NNS 39713 1240 30 would would MD 39713 1240 31 become become VB 39713 1240 32 conscious conscious JJ 39713 1240 33 of of IN 39713 1240 34 their -PRON- PRP$ 39713 1240 35 error error NN 39713 1240 36 and and CC 39713 1240 37 the the DT 39713 1240 38 necessity necessity NN 39713 1240 39 of of IN 39713 1240 40 remaking remake VBG 39713 1240 41 all all PDT 39713 1240 42 their -PRON- PRP$ 39713 1240 43 mechanics mechanic NNS 39713 1240 44 . . . 39713 1241 1 I -PRON- PRP 39713 1241 2 have have VBP 39713 1241 3 dwelt dwell VBN 39713 1241 4 somewhat somewhat RB 39713 1241 5 upon upon IN 39713 1241 6 these these DT 39713 1241 7 hypotheses hypothesis NNS 39713 1241 8 because because IN 39713 1241 9 it -PRON- PRP 39713 1241 10 seems seem VBZ 39713 1241 11 to to IN 39713 1241 12 me -PRON- PRP 39713 1241 13 one one PRP 39713 1241 14 can can MD 39713 1241 15 clearly clearly RB 39713 1241 16 comprehend comprehend VB 39713 1241 17 what what WP 39713 1241 18 our -PRON- PRP$ 39713 1241 19 generalized generalize VBN 39713 1241 20 law law NN 39713 1241 21 of of IN 39713 1241 22 inertia inertia NN 39713 1241 23 really really RB 39713 1241 24 is be VBZ 39713 1241 25 only only RB 39713 1241 26 in in IN 39713 1241 27 contrasting contrast VBG 39713 1241 28 it -PRON- PRP 39713 1241 29 with with IN 39713 1241 30 a a DT 39713 1241 31 contrary contrary JJ 39713 1241 32 hypothesis hypothesis NN 39713 1241 33 . . . 39713 1242 1 Well well UH 39713 1242 2 , , , 39713 1242 3 now now RB 39713 1242 4 , , , 39713 1242 5 has have VBZ 39713 1242 6 this this DT 39713 1242 7 generalized generalized JJ 39713 1242 8 law law NN 39713 1242 9 of of IN 39713 1242 10 inertia inertia NN 39713 1242 11 been be VBN 39713 1242 12 verified verify VBN 39713 1242 13 by by IN 39713 1242 14 experiment experiment NN 39713 1242 15 , , , 39713 1242 16 or or CC 39713 1242 17 can can MD 39713 1242 18 it -PRON- PRP 39713 1242 19 be be VB 39713 1242 20 ? ? . 39713 1243 1 When when WRB 39713 1243 2 Newton Newton NNP 39713 1243 3 wrote write VBD 39713 1243 4 the the DT 39713 1243 5 _ _ NNP 39713 1243 6 Principia Principia NNP 39713 1243 7 _ _ NNP 39713 1243 8 he -PRON- PRP 39713 1243 9 quite quite RB 39713 1243 10 regarded regard VBD 39713 1243 11 this this DT 39713 1243 12 truth truth NN 39713 1243 13 as as IN 39713 1243 14 experimentally experimentally RB 39713 1243 15 acquired acquire VBN 39713 1243 16 and and CC 39713 1243 17 demonstrated demonstrate VBN 39713 1243 18 . . . 39713 1244 1 It -PRON- PRP 39713 1244 2 was be VBD 39713 1244 3 so so RB 39713 1244 4 in in IN 39713 1244 5 his -PRON- PRP$ 39713 1244 6 eyes eye NNS 39713 1244 7 , , , 39713 1244 8 not not RB 39713 1244 9 only only RB 39713 1244 10 through through IN 39713 1244 11 the the DT 39713 1244 12 anthropomorphism anthropomorphism NN 39713 1244 13 of of IN 39713 1244 14 which which WDT 39713 1244 15 we -PRON- PRP 39713 1244 16 shall shall MD 39713 1244 17 speak speak VB 39713 1244 18 further further RB 39713 1244 19 on on RB 39713 1244 20 , , , 39713 1244 21 but but CC 39713 1244 22 through through IN 39713 1244 23 the the DT 39713 1244 24 work work NN 39713 1244 25 of of IN 39713 1244 26 Galileo Galileo NNP 39713 1244 27 . . . 39713 1245 1 It -PRON- PRP 39713 1245 2 was be VBD 39713 1245 3 so so RB 39713 1245 4 even even RB 39713 1245 5 from from IN 39713 1245 6 Kepler Kepler NNP 39713 1245 7 's 's POS 39713 1245 8 laws law NNS 39713 1245 9 themselves -PRON- PRP 39713 1245 10 ; ; : 39713 1245 11 in in IN 39713 1245 12 accordance accordance NN 39713 1245 13 with with IN 39713 1245 14 these these DT 39713 1245 15 laws law NNS 39713 1245 16 , , , 39713 1245 17 in in IN 39713 1245 18 fact fact NN 39713 1245 19 , , , 39713 1245 20 the the DT 39713 1245 21 path path NN 39713 1245 22 of of IN 39713 1245 23 a a DT 39713 1245 24 planet planet NN 39713 1245 25 is be VBZ 39713 1245 26 completely completely RB 39713 1245 27 determined determine VBN 39713 1245 28 by by IN 39713 1245 29 its -PRON- PRP$ 39713 1245 30 initial initial JJ 39713 1245 31 position position NN 39713 1245 32 and and CC 39713 1245 33 initial initial JJ 39713 1245 34 velocity velocity NN 39713 1245 35 ; ; : 39713 1245 36 this this DT 39713 1245 37 is be VBZ 39713 1245 38 just just RB 39713 1245 39 what what WP 39713 1245 40 our -PRON- PRP$ 39713 1245 41 generalized generalize VBN 39713 1245 42 law law NN 39713 1245 43 of of IN 39713 1245 44 inertia inertia NN 39713 1245 45 requires require VBZ 39713 1245 46 . . . 39713 1246 1 For for IN 39713 1246 2 this this DT 39713 1246 3 principle principle NN 39713 1246 4 to to TO 39713 1246 5 be be VB 39713 1246 6 only only RB 39713 1246 7 in in IN 39713 1246 8 appearance appearance NN 39713 1246 9 true true JJ 39713 1246 10 , , , 39713 1246 11 for for IN 39713 1246 12 one one CD 39713 1246 13 to to TO 39713 1246 14 have have VB 39713 1246 15 cause cause NN 39713 1246 16 to to TO 39713 1246 17 dread dread VB 39713 1246 18 having have VBG 39713 1246 19 some some DT 39713 1246 20 day day NN 39713 1246 21 to to TO 39713 1246 22 replace replace VB 39713 1246 23 it -PRON- PRP 39713 1246 24 by by IN 39713 1246 25 one one CD 39713 1246 26 of of IN 39713 1246 27 the the DT 39713 1246 28 analogous analogous JJ 39713 1246 29 principles principle NNS 39713 1246 30 I -PRON- PRP 39713 1246 31 have have VBP 39713 1246 32 just just RB 39713 1246 33 now now RB 39713 1246 34 contrasted contrast VBN 39713 1246 35 with with IN 39713 1246 36 it -PRON- PRP 39713 1246 37 , , , 39713 1246 38 would would MD 39713 1246 39 be be VB 39713 1246 40 necessary necessary JJ 39713 1246 41 our -PRON- PRP$ 39713 1246 42 having have VBG 39713 1246 43 been be VBN 39713 1246 44 misled mislead VBN 39713 1246 45 by by IN 39713 1246 46 some some DT 39713 1246 47 amazing amazing JJ 39713 1246 48 chance chance NN 39713 1246 49 , , , 39713 1246 50 like like IN 39713 1246 51 that that DT 39713 1246 52 which which WDT 39713 1246 53 , , , 39713 1246 54 in in IN 39713 1246 55 the the DT 39713 1246 56 fiction fiction NN 39713 1246 57 above above IN 39713 1246 58 developed develop VBD 39713 1246 59 , , , 39713 1246 60 led lead VBD 39713 1246 61 into into IN 39713 1246 62 error error NN 39713 1246 63 our -PRON- PRP$ 39713 1246 64 imaginary imaginary JJ 39713 1246 65 astronomers astronomer NNS 39713 1246 66 . . . 39713 1247 1 Such such PDT 39713 1247 2 a a DT 39713 1247 3 hypothesis hypothesis NN 39713 1247 4 is be VBZ 39713 1247 5 too too RB 39713 1247 6 unlikely unlikely JJ 39713 1247 7 to to TO 39713 1247 8 delay delay VB 39713 1247 9 over over RP 39713 1247 10 . . . 39713 1248 1 No no DT 39713 1248 2 one one NN 39713 1248 3 will will MD 39713 1248 4 believe believe VB 39713 1248 5 that that IN 39713 1248 6 such such JJ 39713 1248 7 coincidences coincidence NNS 39713 1248 8 can can MD 39713 1248 9 happen happen VB 39713 1248 10 ; ; : 39713 1248 11 no no RB 39713 1248 12 doubt doubt RB 39713 1248 13 the the DT 39713 1248 14 probability probability NN 39713 1248 15 of of IN 39713 1248 16 two two CD 39713 1248 17 eccentricities eccentricity NNS 39713 1248 18 being be VBG 39713 1248 19 both both DT 39713 1248 20 precisely precisely RB 39713 1248 21 null null JJ 39713 1248 22 , , , 39713 1248 23 to to IN 39713 1248 24 within within IN 39713 1248 25 errors error NNS 39713 1248 26 of of IN 39713 1248 27 observation observation NN 39713 1248 28 , , , 39713 1248 29 is be VBZ 39713 1248 30 not not RB 39713 1248 31 less less JJR 39713 1248 32 than than IN 39713 1248 33 the the DT 39713 1248 34 probability probability NN 39713 1248 35 of of IN 39713 1248 36 one one CD 39713 1248 37 being be VBG 39713 1248 38 precisely precisely RB 39713 1248 39 equal equal JJ 39713 1248 40 to to IN 39713 1248 41 0.1 0.1 CD 39713 1248 42 , , , 39713 1248 43 for for IN 39713 1248 44 instance instance NN 39713 1248 45 , , , 39713 1248 46 and and CC 39713 1248 47 the the DT 39713 1248 48 other other JJ 39713 1248 49 to to IN 39713 1248 50 0.2 0.2 CD 39713 1248 51 , , , 39713 1248 52 to to IN 39713 1248 53 within within IN 39713 1248 54 errors error NNS 39713 1248 55 of of IN 39713 1248 56 observation observation NN 39713 1248 57 . . . 39713 1249 1 The the DT 39713 1249 2 probability probability NN 39713 1249 3 of of IN 39713 1249 4 a a DT 39713 1249 5 simple simple JJ 39713 1249 6 event event NN 39713 1249 7 is be VBZ 39713 1249 8 not not RB 39713 1249 9 less less JJR 39713 1249 10 than than IN 39713 1249 11 that that DT 39713 1249 12 of of IN 39713 1249 13 a a DT 39713 1249 14 complicated complicated JJ 39713 1249 15 event event NN 39713 1249 16 ; ; : 39713 1249 17 and and CC 39713 1249 18 yet yet RB 39713 1249 19 , , , 39713 1249 20 if if IN 39713 1249 21 the the DT 39713 1249 22 first first JJ 39713 1249 23 happens happen VBZ 39713 1249 24 , , , 39713 1249 25 we -PRON- PRP 39713 1249 26 shall shall MD 39713 1249 27 not not RB 39713 1249 28 consent consent VB 39713 1249 29 to to TO 39713 1249 30 attribute attribute VB 39713 1249 31 it -PRON- PRP 39713 1249 32 to to TO 39713 1249 33 chance chance NN 39713 1249 34 ; ; : 39713 1249 35 we -PRON- PRP 39713 1249 36 should should MD 39713 1249 37 not not RB 39713 1249 38 believe believe VB 39713 1249 39 that that IN 39713 1249 40 nature nature NN 39713 1249 41 had have VBD 39713 1249 42 acted act VBN 39713 1249 43 expressly expressly RB 39713 1249 44 to to TO 39713 1249 45 deceive deceive VB 39713 1249 46 us -PRON- PRP 39713 1249 47 . . . 39713 1250 1 The the DT 39713 1250 2 hypothesis hypothesis NN 39713 1250 3 of of IN 39713 1250 4 an an DT 39713 1250 5 error error NN 39713 1250 6 of of IN 39713 1250 7 this this DT 39713 1250 8 sort sort NN 39713 1250 9 being be VBG 39713 1250 10 discarded discard VBN 39713 1250 11 , , , 39713 1250 12 it -PRON- PRP 39713 1250 13 may may MD 39713 1250 14 therefore therefore RB 39713 1250 15 be be VB 39713 1250 16 admitted admit VBN 39713 1250 17 that that IN 39713 1250 18 in in IN 39713 1250 19 so so RB 39713 1250 20 far far RB 39713 1250 21 as as IN 39713 1250 22 astronomy astronomy NN 39713 1250 23 is be VBZ 39713 1250 24 concerned concern VBN 39713 1250 25 , , , 39713 1250 26 our -PRON- PRP$ 39713 1250 27 law law NN 39713 1250 28 has have VBZ 39713 1250 29 been be VBN 39713 1250 30 verified verify VBN 39713 1250 31 by by IN 39713 1250 32 experiment experiment NN 39713 1250 33 . . . 39713 1251 1 But but CC 39713 1251 2 astronomy astronomy NN 39713 1251 3 is be VBZ 39713 1251 4 not not RB 39713 1251 5 the the DT 39713 1251 6 whole whole NN 39713 1251 7 of of IN 39713 1251 8 physics physics NN 39713 1251 9 . . . 39713 1252 1 May May MD 39713 1252 2 we -PRON- PRP 39713 1252 3 not not RB 39713 1252 4 fear fear VB 39713 1252 5 lest lest IN 39713 1252 6 some some DT 39713 1252 7 day day NN 39713 1252 8 a a DT 39713 1252 9 new new JJ 39713 1252 10 experiment experiment NN 39713 1252 11 should should MD 39713 1252 12 come come VB 39713 1252 13 to to TO 39713 1252 14 falsify falsify VB 39713 1252 15 the the DT 39713 1252 16 law law NN 39713 1252 17 in in IN 39713 1252 18 some some DT 39713 1252 19 domain domain NN 39713 1252 20 of of IN 39713 1252 21 physics physics NN 39713 1252 22 ? ? . 39713 1253 1 An an DT 39713 1253 2 experimental experimental JJ 39713 1253 3 law law NN 39713 1253 4 is be VBZ 39713 1253 5 always always RB 39713 1253 6 subject subject JJ 39713 1253 7 to to IN 39713 1253 8 revision revision NN 39713 1253 9 ; ; : 39713 1253 10 one one PRP 39713 1253 11 should should MD 39713 1253 12 always always RB 39713 1253 13 expect expect VB 39713 1253 14 to to TO 39713 1253 15 see see VB 39713 1253 16 it -PRON- PRP 39713 1253 17 replaced replace VBN 39713 1253 18 by by IN 39713 1253 19 a a DT 39713 1253 20 more more RBR 39713 1253 21 precise precise JJ 39713 1253 22 law law NN 39713 1253 23 . . . 39713 1254 1 Yet yet RB 39713 1254 2 no no DT 39713 1254 3 one one NN 39713 1254 4 seriously seriously RB 39713 1254 5 thinks think VBZ 39713 1254 6 that that IN 39713 1254 7 the the DT 39713 1254 8 law law NN 39713 1254 9 we -PRON- PRP 39713 1254 10 are be VBP 39713 1254 11 speaking speak VBG 39713 1254 12 of of IN 39713 1254 13 will will MD 39713 1254 14 ever ever RB 39713 1254 15 be be VB 39713 1254 16 abandoned abandon VBN 39713 1254 17 or or CC 39713 1254 18 amended amend VBN 39713 1254 19 . . . 39713 1255 1 Why why WRB 39713 1255 2 ? ? . 39713 1256 1 Precisely precisely RB 39713 1256 2 because because IN 39713 1256 3 it -PRON- PRP 39713 1256 4 can can MD 39713 1256 5 never never RB 39713 1256 6 be be VB 39713 1256 7 subjected subject VBN 39713 1256 8 to to IN 39713 1256 9 a a DT 39713 1256 10 decisive decisive JJ 39713 1256 11 test test NN 39713 1256 12 . . . 39713 1257 1 First first RB 39713 1257 2 of of IN 39713 1257 3 all all DT 39713 1257 4 , , , 39713 1257 5 in in IN 39713 1257 6 order order NN 39713 1257 7 that that IN 39713 1257 8 this this DT 39713 1257 9 trial trial NN 39713 1257 10 should should MD 39713 1257 11 be be VB 39713 1257 12 complete complete JJ 39713 1257 13 , , , 39713 1257 14 it -PRON- PRP 39713 1257 15 would would MD 39713 1257 16 be be VB 39713 1257 17 necessary necessary JJ 39713 1257 18 that that IN 39713 1257 19 after after IN 39713 1257 20 a a DT 39713 1257 21 certain certain JJ 39713 1257 22 time time NN 39713 1257 23 all all PDT 39713 1257 24 the the DT 39713 1257 25 bodies body NNS 39713 1257 26 in in IN 39713 1257 27 the the DT 39713 1257 28 universe universe NN 39713 1257 29 should should MD 39713 1257 30 revert revert VB 39713 1257 31 to to IN 39713 1257 32 their -PRON- PRP$ 39713 1257 33 initial initial JJ 39713 1257 34 positions position NNS 39713 1257 35 with with IN 39713 1257 36 their -PRON- PRP$ 39713 1257 37 initial initial JJ 39713 1257 38 velocities velocity NNS 39713 1257 39 . . . 39713 1258 1 It -PRON- PRP 39713 1258 2 might may MD 39713 1258 3 then then RB 39713 1258 4 be be VB 39713 1258 5 seen see VBN 39713 1258 6 whether whether IN 39713 1258 7 , , , 39713 1258 8 starting start VBG 39713 1258 9 from from IN 39713 1258 10 this this DT 39713 1258 11 moment moment NN 39713 1258 12 , , , 39713 1258 13 they -PRON- PRP 39713 1258 14 would would MD 39713 1258 15 resume resume VB 39713 1258 16 their -PRON- PRP$ 39713 1258 17 original original JJ 39713 1258 18 paths path NNS 39713 1258 19 . . . 39713 1259 1 But but CC 39713 1259 2 this this DT 39713 1259 3 test test NN 39713 1259 4 is be VBZ 39713 1259 5 impossible impossible JJ 39713 1259 6 , , , 39713 1259 7 it -PRON- PRP 39713 1259 8 can can MD 39713 1259 9 be be VB 39713 1259 10 only only RB 39713 1259 11 partially partially RB 39713 1259 12 applied apply VBN 39713 1259 13 , , , 39713 1259 14 and and CC 39713 1259 15 , , , 39713 1259 16 however however RB 39713 1259 17 well well UH 39713 1259 18 it -PRON- PRP 39713 1259 19 is be VBZ 39713 1259 20 made make VBN 39713 1259 21 , , , 39713 1259 22 there there EX 39713 1259 23 will will MD 39713 1259 24 always always RB 39713 1259 25 be be VB 39713 1259 26 some some DT 39713 1259 27 bodies body NNS 39713 1259 28 which which WDT 39713 1259 29 will will MD 39713 1259 30 not not RB 39713 1259 31 revert revert VB 39713 1259 32 to to IN 39713 1259 33 their -PRON- PRP$ 39713 1259 34 initial initial JJ 39713 1259 35 positions position NNS 39713 1259 36 ; ; : 39713 1259 37 thus thus RB 39713 1259 38 every every DT 39713 1259 39 derogation derogation NN 39713 1259 40 of of IN 39713 1259 41 the the DT 39713 1259 42 law law NN 39713 1259 43 will will MD 39713 1259 44 easily easily RB 39713 1259 45 find find VB 39713 1259 46 its -PRON- PRP$ 39713 1259 47 explanation explanation NN 39713 1259 48 . . . 39713 1260 1 This this DT 39713 1260 2 is be VBZ 39713 1260 3 not not RB 39713 1260 4 all all DT 39713 1260 5 ; ; : 39713 1260 6 in in IN 39713 1260 7 astronomy astronomy NN 39713 1260 8 we -PRON- PRP 39713 1260 9 _ _ NNP 39713 1260 10 see see VBP 39713 1260 11 _ _ NNP 39713 1260 12 the the DT 39713 1260 13 bodies body NNS 39713 1260 14 whose whose WP$ 39713 1260 15 motions motion NNS 39713 1260 16 we -PRON- PRP 39713 1260 17 study study VBP 39713 1260 18 and and CC 39713 1260 19 we -PRON- PRP 39713 1260 20 usually usually RB 39713 1260 21 assume assume VBP 39713 1260 22 that that IN 39713 1260 23 they -PRON- PRP 39713 1260 24 are be VBP 39713 1260 25 not not RB 39713 1260 26 subjected subject VBN 39713 1260 27 to to IN 39713 1260 28 the the DT 39713 1260 29 action action NN 39713 1260 30 of of IN 39713 1260 31 other other JJ 39713 1260 32 invisible invisible JJ 39713 1260 33 bodies body NNS 39713 1260 34 . . . 39713 1261 1 Under under IN 39713 1261 2 these these DT 39713 1261 3 conditions condition NNS 39713 1261 4 our -PRON- PRP$ 39713 1261 5 law law NN 39713 1261 6 must must MD 39713 1261 7 indeed indeed RB 39713 1261 8 be be VB 39713 1261 9 either either CC 39713 1261 10 verified verify VBN 39713 1261 11 or or CC 39713 1261 12 not not RB 39713 1261 13 verified verify VBN 39713 1261 14 . . . 39713 1262 1 But but CC 39713 1262 2 it -PRON- PRP 39713 1262 3 is be VBZ 39713 1262 4 not not RB 39713 1262 5 the the DT 39713 1262 6 same same JJ 39713 1262 7 in in IN 39713 1262 8 physics physics NN 39713 1262 9 ; ; : 39713 1262 10 if if IN 39713 1262 11 the the DT 39713 1262 12 physical physical JJ 39713 1262 13 phenomena phenomenon NNS 39713 1262 14 are be VBP 39713 1262 15 due due JJ 39713 1262 16 to to IN 39713 1262 17 motions motion NNS 39713 1262 18 , , , 39713 1262 19 it -PRON- PRP 39713 1262 20 is be VBZ 39713 1262 21 to to IN 39713 1262 22 the the DT 39713 1262 23 motions motion NNS 39713 1262 24 of of IN 39713 1262 25 molecules molecule NNS 39713 1262 26 which which WDT 39713 1262 27 we -PRON- PRP 39713 1262 28 do do VBP 39713 1262 29 not not RB 39713 1262 30 see see VB 39713 1262 31 . . . 39713 1263 1 If if IN 39713 1263 2 then then RB 39713 1263 3 the the DT 39713 1263 4 acceleration acceleration NN 39713 1263 5 of of IN 39713 1263 6 one one CD 39713 1263 7 of of IN 39713 1263 8 the the DT 39713 1263 9 bodies body NNS 39713 1263 10 we -PRON- PRP 39713 1263 11 see see VBP 39713 1263 12 appears appear VBZ 39713 1263 13 to to IN 39713 1263 14 us -PRON- PRP 39713 1263 15 to to TO 39713 1263 16 depend depend VB 39713 1263 17 on on IN 39713 1263 18 _ _ NNP 39713 1263 19 something something NN 39713 1263 20 else else RB 39713 1263 21 _ _ NNP 39713 1263 22 besides besides IN 39713 1263 23 the the DT 39713 1263 24 positions position NNS 39713 1263 25 or or CC 39713 1263 26 velocities velocity NNS 39713 1263 27 of of IN 39713 1263 28 other other JJ 39713 1263 29 visible visible JJ 39713 1263 30 bodies body NNS 39713 1263 31 or or CC 39713 1263 32 of of IN 39713 1263 33 invisible invisible JJ 39713 1263 34 molecules molecule NNS 39713 1263 35 whose whose WP$ 39713 1263 36 existence existence NN 39713 1263 37 we -PRON- PRP 39713 1263 38 have have VBP 39713 1263 39 been be VBN 39713 1263 40 previously previously RB 39713 1263 41 led lead VBN 39713 1263 42 to to TO 39713 1263 43 admit admit VB 39713 1263 44 , , , 39713 1263 45 nothing nothing NN 39713 1263 46 prevents prevent VBZ 39713 1263 47 our -PRON- PRP$ 39713 1263 48 supposing supposing NN 39713 1263 49 that that IN 39713 1263 50 this this DT 39713 1263 51 _ _ NNP 39713 1263 52 something something NN 39713 1263 53 else else RB 39713 1263 54 _ _ NNP 39713 1263 55 is be VBZ 39713 1263 56 the the DT 39713 1263 57 position position NN 39713 1263 58 or or CC 39713 1263 59 the the DT 39713 1263 60 velocity velocity NN 39713 1263 61 of of IN 39713 1263 62 other other JJ 39713 1263 63 molecules molecule NNS 39713 1263 64 whose whose WP$ 39713 1263 65 presence presence NN 39713 1263 66 we -PRON- PRP 39713 1263 67 have have VBP 39713 1263 68 not not RB 39713 1263 69 before before RB 39713 1263 70 suspected suspect VBN 39713 1263 71 . . . 39713 1264 1 The the DT 39713 1264 2 law law NN 39713 1264 3 will will MD 39713 1264 4 find find VB 39713 1264 5 itself -PRON- PRP 39713 1264 6 safeguarded safeguard VBN 39713 1264 7 . . . 39713 1265 1 Permit permit VB 39713 1265 2 me -PRON- PRP 39713 1265 3 to to TO 39713 1265 4 employ employ VB 39713 1265 5 mathematical mathematical JJ 39713 1265 6 language language NN 39713 1265 7 a a DT 39713 1265 8 moment moment NN 39713 1265 9 to to TO 39713 1265 10 express express VB 39713 1265 11 the the DT 39713 1265 12 same same JJ 39713 1265 13 thought thought NN 39713 1265 14 under under IN 39713 1265 15 another another DT 39713 1265 16 form form NN 39713 1265 17 . . . 39713 1266 1 Suppose suppose VB 39713 1266 2 we -PRON- PRP 39713 1266 3 observe observe VBP 39713 1266 4 _ _ NNP 39713 1266 5 n n CC 39713 1266 6 _ _ NNP 39713 1266 7 molecules molecule NNS 39713 1266 8 and and CC 39713 1266 9 ascertain ascertain VB 39713 1266 10 that that IN 39713 1266 11 their -PRON- PRP$ 39713 1266 12 3_n 3_n CD 39713 1266 13 _ _ NNP 39713 1266 14 coordinates coordinate NNS 39713 1266 15 satisfy satisfy VBP 39713 1266 16 a a DT 39713 1266 17 system system NN 39713 1266 18 of of IN 39713 1266 19 3_n 3_n CD 39713 1266 20 _ _ NNP 39713 1266 21 differential differential NN 39713 1266 22 equations equation NNS 39713 1266 23 of of IN 39713 1266 24 the the DT 39713 1266 25 fourth fourth JJ 39713 1266 26 order order NN 39713 1266 27 ( ( -LRB- 39713 1266 28 and and CC 39713 1266 29 not not RB 39713 1266 30 of of IN 39713 1266 31 the the DT 39713 1266 32 second second JJ 39713 1266 33 order order NN 39713 1266 34 as as IN 39713 1266 35 the the DT 39713 1266 36 law law NN 39713 1266 37 of of IN 39713 1266 38 inertia inertia NN 39713 1266 39 would would MD 39713 1266 40 require require VB 39713 1266 41 ) ) -RRB- 39713 1266 42 . . . 39713 1267 1 We -PRON- PRP 39713 1267 2 know know VBP 39713 1267 3 that that IN 39713 1267 4 by by IN 39713 1267 5 introducing introduce VBG 39713 1267 6 3_n 3_n CD 39713 1267 7 _ _ NNP 39713 1267 8 auxiliary auxiliary JJ 39713 1267 9 variables variable NNS 39713 1267 10 , , , 39713 1267 11 a a DT 39713 1267 12 system system NN 39713 1267 13 of of IN 39713 1267 14 3_n 3_n CD 39713 1267 15 _ _ NNP 39713 1267 16 equations equation NNS 39713 1267 17 of of IN 39713 1267 18 the the DT 39713 1267 19 fourth fourth JJ 39713 1267 20 order order NN 39713 1267 21 can can MD 39713 1267 22 be be VB 39713 1267 23 reduced reduce VBN 39713 1267 24 to to IN 39713 1267 25 a a DT 39713 1267 26 system system NN 39713 1267 27 of of IN 39713 1267 28 6_n 6_n CD 39713 1267 29 _ _ NNP 39713 1267 30 equations equation NNS 39713 1267 31 of of IN 39713 1267 32 the the DT 39713 1267 33 second second JJ 39713 1267 34 order order NN 39713 1267 35 . . . 39713 1268 1 If if IN 39713 1268 2 then then RB 39713 1268 3 we -PRON- PRP 39713 1268 4 suppose suppose VBP 39713 1268 5 these these DT 39713 1268 6 3_n 3_n CD 39713 1268 7 _ _ NNP 39713 1268 8 auxiliary auxiliary JJ 39713 1268 9 variables variable NNS 39713 1268 10 represent represent VBP 39713 1268 11 the the DT 39713 1268 12 coordinates coordinate NNS 39713 1268 13 of of IN 39713 1268 14 _ _ NNP 39713 1268 15 n n CC 39713 1268 16 _ _ NNP 39713 1268 17 invisible invisible JJ 39713 1268 18 molecules molecule NNS 39713 1268 19 , , , 39713 1268 20 the the DT 39713 1268 21 result result NN 39713 1268 22 is be VBZ 39713 1268 23 again again RB 39713 1268 24 in in IN 39713 1268 25 conformity conformity NN 39713 1268 26 with with IN 39713 1268 27 the the DT 39713 1268 28 law law NN 39713 1268 29 of of IN 39713 1268 30 inertia inertia NN 39713 1268 31 . . . 39713 1269 1 To to TO 39713 1269 2 sum sum VB 39713 1269 3 up up RP 39713 1269 4 , , , 39713 1269 5 this this DT 39713 1269 6 law law NN 39713 1269 7 , , , 39713 1269 8 verified verify VBN 39713 1269 9 experimentally experimentally RB 39713 1269 10 in in IN 39713 1269 11 some some DT 39713 1269 12 particular particular JJ 39713 1269 13 cases case NNS 39713 1269 14 , , , 39713 1269 15 may may MD 39713 1269 16 unhesitatingly unhesitatingly RB 39713 1269 17 be be VB 39713 1269 18 extended extend VBN 39713 1269 19 to to IN 39713 1269 20 the the DT 39713 1269 21 most most RBS 39713 1269 22 general general JJ 39713 1269 23 cases case NNS 39713 1269 24 , , , 39713 1269 25 since since IN 39713 1269 26 we -PRON- PRP 39713 1269 27 know know VBP 39713 1269 28 that that IN 39713 1269 29 in in IN 39713 1269 30 these these DT 39713 1269 31 general general JJ 39713 1269 32 cases case NNS 39713 1269 33 experiment experiment VBP 39713 1269 34 no no RB 39713 1269 35 longer long RBR 39713 1269 36 is be VBZ 39713 1269 37 able able JJ 39713 1269 38 either either RB 39713 1269 39 to to TO 39713 1269 40 confirm confirm VB 39713 1269 41 or or CC 39713 1269 42 to to TO 39713 1269 43 contradict contradict VB 39713 1269 44 it -PRON- PRP 39713 1269 45 . . . 39713 1270 1 THE the DT 39713 1270 2 LAW law NN 39713 1270 3 OF of IN 39713 1270 4 ACCELERATION.--The ACCELERATION.--The `` 39713 1270 5 acceleration acceleration NN 39713 1270 6 of of IN 39713 1270 7 a a DT 39713 1270 8 body body NN 39713 1270 9 is be VBZ 39713 1270 10 equal equal JJ 39713 1270 11 to to IN 39713 1270 12 the the DT 39713 1270 13 force force NN 39713 1270 14 acting act VBG 39713 1270 15 on on IN 39713 1270 16 it -PRON- PRP 39713 1270 17 divided divide VBN 39713 1270 18 by by IN 39713 1270 19 its -PRON- PRP$ 39713 1270 20 mass mass NN 39713 1270 21 . . . 39713 1271 1 Can Can MD 39713 1271 2 this this DT 39713 1271 3 law law NN 39713 1271 4 be be VB 39713 1271 5 verified verify VBN 39713 1271 6 by by IN 39713 1271 7 experiment experiment NN 39713 1271 8 ? ? . 39713 1272 1 For for IN 39713 1272 2 that that IN 39713 1272 3 it -PRON- PRP 39713 1272 4 would would MD 39713 1272 5 be be VB 39713 1272 6 necessary necessary JJ 39713 1272 7 to to TO 39713 1272 8 measure measure VB 39713 1272 9 the the DT 39713 1272 10 three three CD 39713 1272 11 magnitudes magnitude NNS 39713 1272 12 which which WDT 39713 1272 13 figure figure VBP 39713 1272 14 in in IN 39713 1272 15 the the DT 39713 1272 16 enunciation enunciation NN 39713 1272 17 : : : 39713 1272 18 acceleration acceleration NN 39713 1272 19 , , , 39713 1272 20 force force NN 39713 1272 21 and and CC 39713 1272 22 mass mass NN 39713 1272 23 . . . 39713 1273 1 I -PRON- PRP 39713 1273 2 assume assume VBP 39713 1273 3 that that IN 39713 1273 4 acceleration acceleration NN 39713 1273 5 can can MD 39713 1273 6 be be VB 39713 1273 7 measured measure VBN 39713 1273 8 , , , 39713 1273 9 for for IN 39713 1273 10 I -PRON- PRP 39713 1273 11 pass pass VBP 39713 1273 12 over over RP 39713 1273 13 the the DT 39713 1273 14 difficulty difficulty NN 39713 1273 15 arising arise VBG 39713 1273 16 from from IN 39713 1273 17 the the DT 39713 1273 18 measurement measurement NN 39713 1273 19 of of IN 39713 1273 20 time time NN 39713 1273 21 . . . 39713 1274 1 But but CC 39713 1274 2 how how WRB 39713 1274 3 measure measure NN 39713 1274 4 force force NN 39713 1274 5 , , , 39713 1274 6 or or CC 39713 1274 7 mass mass NN 39713 1274 8 ? ? . 39713 1275 1 We -PRON- PRP 39713 1275 2 do do VBP 39713 1275 3 not not RB 39713 1275 4 even even RB 39713 1275 5 know know VB 39713 1275 6 what what WP 39713 1275 7 they -PRON- PRP 39713 1275 8 are be VBP 39713 1275 9 . . . 39713 1276 1 What what WP 39713 1276 2 is be VBZ 39713 1276 3 _ _ NNP 39713 1276 4 mass mass NN 39713 1276 5 _ _ NNP 39713 1276 6 ? ? . 39713 1277 1 According accord VBG 39713 1277 2 to to IN 39713 1277 3 Newton Newton NNP 39713 1277 4 , , , 39713 1277 5 it -PRON- PRP 39713 1277 6 is be VBZ 39713 1277 7 the the DT 39713 1277 8 product product NN 39713 1277 9 of of IN 39713 1277 10 the the DT 39713 1277 11 volume volume NN 39713 1277 12 by by IN 39713 1277 13 the the DT 39713 1277 14 density density NN 39713 1277 15 . . . 39713 1278 1 According accord VBG 39713 1278 2 to to IN 39713 1278 3 Thomson Thomson NNP 39713 1278 4 and and CC 39713 1278 5 Tait Tait NNP 39713 1278 6 , , , 39713 1278 7 it -PRON- PRP 39713 1278 8 would would MD 39713 1278 9 be be VB 39713 1278 10 better well JJR 39713 1278 11 to to TO 39713 1278 12 say say VB 39713 1278 13 that that DT 39713 1278 14 density density NN 39713 1278 15 is be VBZ 39713 1278 16 the the DT 39713 1278 17 quotient quotient NN 39713 1278 18 of of IN 39713 1278 19 the the DT 39713 1278 20 mass mass NN 39713 1278 21 by by IN 39713 1278 22 the the DT 39713 1278 23 volume volume NN 39713 1278 24 . . . 39713 1279 1 What what WP 39713 1279 2 is be VBZ 39713 1279 3 _ _ NNP 39713 1279 4 force force NN 39713 1279 5 _ _ NNP 39713 1279 6 ? ? . 39713 1280 1 It -PRON- PRP 39713 1280 2 is be VBZ 39713 1280 3 , , , 39713 1280 4 replies reply VBZ 39713 1280 5 Lagrange Lagrange NNP 39713 1280 6 , , , 39713 1280 7 that that IN 39713 1280 8 which which WDT 39713 1280 9 moves move VBZ 39713 1280 10 or or CC 39713 1280 11 tends tend VBZ 39713 1280 12 to to TO 39713 1280 13 move move VB 39713 1280 14 a a DT 39713 1280 15 body body NN 39713 1280 16 . . . 39713 1281 1 It -PRON- PRP 39713 1281 2 is be VBZ 39713 1281 3 , , , 39713 1281 4 Kirchhoff Kirchhoff NNP 39713 1281 5 will will MD 39713 1281 6 say say VB 39713 1281 7 , , , 39713 1281 8 the the DT 39713 1281 9 product product NN 39713 1281 10 of of IN 39713 1281 11 the the DT 39713 1281 12 mass mass NN 39713 1281 13 by by IN 39713 1281 14 the the DT 39713 1281 15 _ _ NNP 39713 1281 16 acceleration acceleration NN 39713 1281 17 _ _ NNP 39713 1281 18 . . . 39713 1282 1 But but CC 39713 1282 2 then then RB 39713 1282 3 , , , 39713 1282 4 why why WRB 39713 1282 5 not not RB 39713 1282 6 say say VB 39713 1282 7 the the DT 39713 1282 8 mass mass NN 39713 1282 9 is be VBZ 39713 1282 10 the the DT 39713 1282 11 quotient quotient NN 39713 1282 12 of of IN 39713 1282 13 the the DT 39713 1282 14 force force NN 39713 1282 15 by by IN 39713 1282 16 the the DT 39713 1282 17 acceleration acceleration NN 39713 1282 18 ? ? . 39713 1283 1 These these DT 39713 1283 2 difficulties difficulty NNS 39713 1283 3 are be VBP 39713 1283 4 inextricable inextricable JJ 39713 1283 5 . . . 39713 1284 1 When when WRB 39713 1284 2 we -PRON- PRP 39713 1284 3 say say VBP 39713 1284 4 force force NN 39713 1284 5 is be VBZ 39713 1284 6 the the DT 39713 1284 7 cause cause NN 39713 1284 8 of of IN 39713 1284 9 motion motion NN 39713 1284 10 , , , 39713 1284 11 we -PRON- PRP 39713 1284 12 talk talk VBP 39713 1284 13 metaphysics metaphysic NNS 39713 1284 14 , , , 39713 1284 15 and and CC 39713 1284 16 this this DT 39713 1284 17 definition definition NN 39713 1284 18 , , , 39713 1284 19 if if IN 39713 1284 20 one one CD 39713 1284 21 were be VBD 39713 1284 22 content content JJ 39713 1284 23 with with IN 39713 1284 24 it -PRON- PRP 39713 1284 25 , , , 39713 1284 26 would would MD 39713 1284 27 be be VB 39713 1284 28 absolutely absolutely RB 39713 1284 29 sterile sterile JJ 39713 1284 30 . . . 39713 1285 1 For for IN 39713 1285 2 a a DT 39713 1285 3 definition definition NN 39713 1285 4 to to TO 39713 1285 5 be be VB 39713 1285 6 of of IN 39713 1285 7 any any DT 39713 1285 8 use use NN 39713 1285 9 , , , 39713 1285 10 it -PRON- PRP 39713 1285 11 must must MD 39713 1285 12 teach teach VB 39713 1285 13 us -PRON- PRP 39713 1285 14 to to IN 39713 1285 15 _ _ NNP 39713 1285 16 measure measure NN 39713 1285 17 _ _ NNP 39713 1285 18 force force NN 39713 1285 19 ; ; : 39713 1285 20 moreover moreover RB 39713 1285 21 that that IN 39713 1285 22 suffices suffice VBZ 39713 1285 23 ; ; : 39713 1285 24 it -PRON- PRP 39713 1285 25 is be VBZ 39713 1285 26 not not RB 39713 1285 27 at at RB 39713 1285 28 all all RB 39713 1285 29 necessary necessary JJ 39713 1285 30 that that IN 39713 1285 31 it -PRON- PRP 39713 1285 32 teach teach VB 39713 1285 33 us -PRON- PRP 39713 1285 34 what what WDT 39713 1285 35 force force NN 39713 1285 36 is be VBZ 39713 1285 37 _ _ NNP 39713 1285 38 in in IN 39713 1285 39 itself -PRON- PRP 39713 1285 40 _ _ NNP 39713 1285 41 , , , 39713 1285 42 nor nor CC 39713 1285 43 whether whether IN 39713 1285 44 it -PRON- PRP 39713 1285 45 is be VBZ 39713 1285 46 the the DT 39713 1285 47 cause cause NN 39713 1285 48 or or CC 39713 1285 49 the the DT 39713 1285 50 effect effect NN 39713 1285 51 of of IN 39713 1285 52 motion motion NN 39713 1285 53 . . . 39713 1286 1 We -PRON- PRP 39713 1286 2 must must MD 39713 1286 3 therefore therefore RB 39713 1286 4 first first RB 39713 1286 5 define define VB 39713 1286 6 the the DT 39713 1286 7 equality equality NN 39713 1286 8 of of IN 39713 1286 9 two two CD 39713 1286 10 forces force NNS 39713 1286 11 . . . 39713 1287 1 When when WRB 39713 1287 2 shall shall MD 39713 1287 3 we -PRON- PRP 39713 1287 4 say say VB 39713 1287 5 two two CD 39713 1287 6 forces force NNS 39713 1287 7 are be VBP 39713 1287 8 equal equal JJ 39713 1287 9 ? ? . 39713 1288 1 It -PRON- PRP 39713 1288 2 is be VBZ 39713 1288 3 , , , 39713 1288 4 we -PRON- PRP 39713 1288 5 are be VBP 39713 1288 6 told tell VBN 39713 1288 7 , , , 39713 1288 8 when when WRB 39713 1288 9 , , , 39713 1288 10 applied apply VBD 39713 1288 11 to to IN 39713 1288 12 the the DT 39713 1288 13 same same JJ 39713 1288 14 mass mass NN 39713 1288 15 , , , 39713 1288 16 they -PRON- PRP 39713 1288 17 impress impress VBP 39713 1288 18 upon upon IN 39713 1288 19 it -PRON- PRP 39713 1288 20 the the DT 39713 1288 21 same same JJ 39713 1288 22 acceleration acceleration NN 39713 1288 23 , , , 39713 1288 24 or or CC 39713 1288 25 when when WRB 39713 1288 26 , , , 39713 1288 27 opposed oppose VBD 39713 1288 28 directly directly RB 39713 1288 29 one one CD 39713 1288 30 to to IN 39713 1288 31 the the DT 39713 1288 32 other other JJ 39713 1288 33 , , , 39713 1288 34 they -PRON- PRP 39713 1288 35 produce produce VBP 39713 1288 36 equilibrium equilibrium NN 39713 1288 37 . . . 39713 1289 1 This this DT 39713 1289 2 definition definition NN 39713 1289 3 is be VBZ 39713 1289 4 only only RB 39713 1289 5 a a DT 39713 1289 6 sham sham NN 39713 1289 7 . . . 39713 1290 1 A a DT 39713 1290 2 force force NN 39713 1290 3 applied apply VBD 39713 1290 4 to to IN 39713 1290 5 a a DT 39713 1290 6 body body NN 39713 1290 7 can can MD 39713 1290 8 not not RB 39713 1290 9 be be VB 39713 1290 10 uncoupled uncoupled JJ 39713 1290 11 to to TO 39713 1290 12 hook hook VB 39713 1290 13 it -PRON- PRP 39713 1290 14 up up RP 39713 1290 15 to to IN 39713 1290 16 another another DT 39713 1290 17 body body NN 39713 1290 18 , , , 39713 1290 19 as as IN 39713 1290 20 one one CD 39713 1290 21 uncouples uncouple VBZ 39713 1290 22 a a DT 39713 1290 23 locomotive locomotive NN 39713 1290 24 to to TO 39713 1290 25 attach attach VB 39713 1290 26 it -PRON- PRP 39713 1290 27 to to IN 39713 1290 28 another another DT 39713 1290 29 train train NN 39713 1290 30 . . . 39713 1291 1 It -PRON- PRP 39713 1291 2 is be VBZ 39713 1291 3 therefore therefore RB 39713 1291 4 impossible impossible JJ 39713 1291 5 to to TO 39713 1291 6 know know VB 39713 1291 7 what what WP 39713 1291 8 acceleration acceleration NN 39713 1291 9 such such PDT 39713 1291 10 a a DT 39713 1291 11 force force NN 39713 1291 12 , , , 39713 1291 13 applied apply VBN 39713 1291 14 to to IN 39713 1291 15 such such PDT 39713 1291 16 a a DT 39713 1291 17 body body NN 39713 1291 18 , , , 39713 1291 19 would would MD 39713 1291 20 impress impress VB 39713 1291 21 upon upon IN 39713 1291 22 such such PDT 39713 1291 23 another another DT 39713 1291 24 body body NN 39713 1291 25 , , , 39713 1291 26 _ _ NNP 39713 1291 27 if if IN 39713 1291 28 _ _ NNP 39713 1291 29 it -PRON- PRP 39713 1291 30 were be VBD 39713 1291 31 applied apply VBN 39713 1291 32 to to IN 39713 1291 33 it -PRON- PRP 39713 1291 34 . . . 39713 1292 1 It -PRON- PRP 39713 1292 2 is be VBZ 39713 1292 3 impossible impossible JJ 39713 1292 4 to to TO 39713 1292 5 know know VB 39713 1292 6 how how WRB 39713 1292 7 two two CD 39713 1292 8 forces force NNS 39713 1292 9 which which WDT 39713 1292 10 are be VBP 39713 1292 11 not not RB 39713 1292 12 directly directly RB 39713 1292 13 opposed oppose VBN 39713 1292 14 would would MD 39713 1292 15 act act VB 39713 1292 16 , , , 39713 1292 17 _ _ NNP 39713 1292 18 if if IN 39713 1292 19 _ _ NNP 39713 1292 20 they -PRON- PRP 39713 1292 21 were be VBD 39713 1292 22 directly directly RB 39713 1292 23 opposed oppose VBN 39713 1292 24 . . . 39713 1293 1 It -PRON- PRP 39713 1293 2 is be VBZ 39713 1293 3 this this DT 39713 1293 4 definition definition NN 39713 1293 5 we -PRON- PRP 39713 1293 6 try try VBP 39713 1293 7 to to TO 39713 1293 8 materialize materialize VB 39713 1293 9 , , , 39713 1293 10 so so RB 39713 1293 11 to to TO 39713 1293 12 speak speak VB 39713 1293 13 , , , 39713 1293 14 when when WRB 39713 1293 15 we -PRON- PRP 39713 1293 16 measure measure VBP 39713 1293 17 a a DT 39713 1293 18 force force NN 39713 1293 19 with with IN 39713 1293 20 a a DT 39713 1293 21 dynamometer dynamometer NN 39713 1293 22 , , , 39713 1293 23 or or CC 39713 1293 24 in in IN 39713 1293 25 balancing balance VBG 39713 1293 26 it -PRON- PRP 39713 1293 27 with with IN 39713 1293 28 a a DT 39713 1293 29 weight weight NN 39713 1293 30 . . . 39713 1294 1 Two two CD 39713 1294 2 forces force NNS 39713 1294 3 _ _ NNP 39713 1294 4 F F NNP 39713 1294 5 _ _ NNP 39713 1294 6 and and CC 39713 1294 7 _ _ NNP 39713 1294 8 F F NNP 39713 1294 9 ' ' '' 39713 1294 10 _ _ NNP 39713 1294 11 , , , 39713 1294 12 which which WDT 39713 1294 13 for for IN 39713 1294 14 simplicity simplicity NN 39713 1294 15 I -PRON- PRP 39713 1294 16 will will MD 39713 1294 17 suppose suppose VB 39713 1294 18 vertical vertical JJ 39713 1294 19 and and CC 39713 1294 20 directed direct VBN 39713 1294 21 upward upward RB 39713 1294 22 , , , 39713 1294 23 are be VBP 39713 1294 24 applied apply VBN 39713 1294 25 respectively respectively RB 39713 1294 26 to to IN 39713 1294 27 two two CD 39713 1294 28 bodies body NNS 39713 1294 29 _ _ NNP 39713 1294 30 C C NNP 39713 1294 31 _ _ NNP 39713 1294 32 and and CC 39713 1294 33 _ _ NNP 39713 1294 34 C C NNP 39713 1294 35 ' ' '' 39713 1294 36 _ _ NN 39713 1294 37 ; ; : 39713 1294 38 I -PRON- PRP 39713 1294 39 suspend suspend VBP 39713 1294 40 the the DT 39713 1294 41 same same JJ 39713 1294 42 heavy heavy JJ 39713 1294 43 body body NN 39713 1294 44 _ _ NNP 39713 1294 45 P P NNP 39713 1294 46 _ _ NNP 39713 1294 47 first first RB 39713 1294 48 to to IN 39713 1294 49 the the DT 39713 1294 50 body body NN 39713 1294 51 _ _ NNP 39713 1294 52 C C NNP 39713 1294 53 _ _ NNP 39713 1294 54 , , , 39713 1294 55 then then RB 39713 1294 56 to to IN 39713 1294 57 the the DT 39713 1294 58 body body NN 39713 1294 59 _ _ NNP 39713 1294 60 C C NNP 39713 1294 61 ' ' '' 39713 1294 62 _ _ NNP 39713 1294 63 ; ; : 39713 1294 64 if if IN 39713 1294 65 equilibrium equilibrium NN 39713 1294 66 is be VBZ 39713 1294 67 produced produce VBN 39713 1294 68 in in IN 39713 1294 69 both both DT 39713 1294 70 cases case NNS 39713 1294 71 , , , 39713 1294 72 I -PRON- PRP 39713 1294 73 shall shall MD 39713 1294 74 conclude conclude VB 39713 1294 75 that that IN 39713 1294 76 the the DT 39713 1294 77 two two CD 39713 1294 78 forces force NNS 39713 1294 79 _ _ NNP 39713 1294 80 F F NNP 39713 1294 81 _ _ NNP 39713 1294 82 and and CC 39713 1294 83 _ _ NNP 39713 1294 84 F F NNP 39713 1294 85 ' ' '' 39713 1294 86 _ _ NNP 39713 1294 87 are be VBP 39713 1294 88 equal equal JJ 39713 1294 89 to to IN 39713 1294 90 one one CD 39713 1294 91 another another DT 39713 1294 92 , , , 39713 1294 93 since since IN 39713 1294 94 they -PRON- PRP 39713 1294 95 are be VBP 39713 1294 96 each each DT 39713 1294 97 equal equal JJ 39713 1294 98 to to IN 39713 1294 99 the the DT 39713 1294 100 weight weight NN 39713 1294 101 of of IN 39713 1294 102 the the DT 39713 1294 103 body body NN 39713 1294 104 _ _ NNP 39713 1294 105 P P NNP 39713 1294 106 _ _ NNP 39713 1294 107 . . . 39713 1295 1 But but CC 39713 1295 2 am be VBP 39713 1295 3 I -PRON- PRP 39713 1295 4 sure sure JJ 39713 1295 5 the the DT 39713 1295 6 body body NN 39713 1295 7 _ _ NNP 39713 1295 8 P P NNP 39713 1295 9 _ _ NNP 39713 1295 10 has have VBZ 39713 1295 11 retained retain VBN 39713 1295 12 the the DT 39713 1295 13 same same JJ 39713 1295 14 weight weight NN 39713 1295 15 when when WRB 39713 1295 16 I -PRON- PRP 39713 1295 17 have have VBP 39713 1295 18 transported transport VBN 39713 1295 19 it -PRON- PRP 39713 1295 20 from from IN 39713 1295 21 the the DT 39713 1295 22 first first JJ 39713 1295 23 body body NN 39713 1295 24 to to IN 39713 1295 25 the the DT 39713 1295 26 second second JJ 39713 1295 27 ? ? . 39713 1296 1 Far far RB 39713 1296 2 from from IN 39713 1296 3 it -PRON- PRP 39713 1296 4 ; ; : 39713 1296 5 _ _ NNP 39713 1296 6 I -PRON- PRP 39713 1296 7 am be VBP 39713 1296 8 sure sure JJ 39713 1296 9 of of IN 39713 1296 10 the the DT 39713 1296 11 contrary contrary JJ 39713 1296 12 _ _ NNP 39713 1296 13 ; ; : 39713 1296 14 I -PRON- PRP 39713 1296 15 know know VBP 39713 1296 16 the the DT 39713 1296 17 intensity intensity NN 39713 1296 18 of of IN 39713 1296 19 gravity gravity NN 39713 1296 20 varies vary VBZ 39713 1296 21 from from IN 39713 1296 22 one one CD 39713 1296 23 point point NN 39713 1296 24 to to IN 39713 1296 25 another another DT 39713 1296 26 , , , 39713 1296 27 and and CC 39713 1296 28 that that IN 39713 1296 29 it -PRON- PRP 39713 1296 30 is be VBZ 39713 1296 31 stronger strong JJR 39713 1296 32 , , , 39713 1296 33 for for IN 39713 1296 34 instance instance NN 39713 1296 35 , , , 39713 1296 36 at at IN 39713 1296 37 the the DT 39713 1296 38 pole pole NN 39713 1296 39 than than IN 39713 1296 40 at at IN 39713 1296 41 the the DT 39713 1296 42 equator equator NN 39713 1296 43 . . . 39713 1297 1 No no RB 39713 1297 2 doubt doubt RB 39713 1297 3 the the DT 39713 1297 4 difference difference NN 39713 1297 5 is be VBZ 39713 1297 6 very very RB 39713 1297 7 slight slight JJ 39713 1297 8 and and CC 39713 1297 9 , , , 39713 1297 10 in in IN 39713 1297 11 practise practise NN 39713 1297 12 , , , 39713 1297 13 I -PRON- PRP 39713 1297 14 shall shall MD 39713 1297 15 take take VB 39713 1297 16 no no DT 39713 1297 17 account account NN 39713 1297 18 of of IN 39713 1297 19 it -PRON- PRP 39713 1297 20 ; ; : 39713 1297 21 but but CC 39713 1297 22 a a DT 39713 1297 23 properly properly RB 39713 1297 24 constructed construct VBN 39713 1297 25 definition definition NN 39713 1297 26 should should MD 39713 1297 27 have have VB 39713 1297 28 mathematical mathematical JJ 39713 1297 29 rigor rigor NN 39713 1297 30 ; ; : 39713 1297 31 this this DT 39713 1297 32 rigor rigor NN 39713 1297 33 is be VBZ 39713 1297 34 lacking lack VBG 39713 1297 35 . . . 39713 1298 1 What what WP 39713 1298 2 I -PRON- PRP 39713 1298 3 say say VBP 39713 1298 4 of of IN 39713 1298 5 weight weight NN 39713 1298 6 would would MD 39713 1298 7 evidently evidently RB 39713 1298 8 apply apply VB 39713 1298 9 to to IN 39713 1298 10 the the DT 39713 1298 11 force force NN 39713 1298 12 of of IN 39713 1298 13 the the DT 39713 1298 14 resiliency resiliency NN 39713 1298 15 of of IN 39713 1298 16 a a DT 39713 1298 17 dynamometer dynamometer NN 39713 1298 18 , , , 39713 1298 19 which which WDT 39713 1298 20 the the DT 39713 1298 21 temperature temperature NN 39713 1298 22 and and CC 39713 1298 23 a a DT 39713 1298 24 multitude multitude NN 39713 1298 25 of of IN 39713 1298 26 circumstances circumstance NNS 39713 1298 27 may may MD 39713 1298 28 cause cause VB 39713 1298 29 to to TO 39713 1298 30 vary vary VB 39713 1298 31 . . . 39713 1299 1 This this DT 39713 1299 2 is be VBZ 39713 1299 3 not not RB 39713 1299 4 all all DT 39713 1299 5 ; ; : 39713 1299 6 we -PRON- PRP 39713 1299 7 can can MD 39713 1299 8 not not RB 39713 1299 9 say say VB 39713 1299 10 the the DT 39713 1299 11 weight weight NN 39713 1299 12 of of IN 39713 1299 13 the the DT 39713 1299 14 body body NN 39713 1299 15 _ _ NNP 39713 1299 16 P P NNP 39713 1299 17 _ _ NNP 39713 1299 18 may may MD 39713 1299 19 be be VB 39713 1299 20 applied apply VBN 39713 1299 21 to to IN 39713 1299 22 the the DT 39713 1299 23 body body NN 39713 1299 24 _ _ NNP 39713 1299 25 C C NNP 39713 1299 26 _ _ NNP 39713 1299 27 and and CC 39713 1299 28 directly directly RB 39713 1299 29 balance balance VB 39713 1299 30 the the DT 39713 1299 31 force force NN 39713 1299 32 _ _ NNP 39713 1299 33 F F NNP 39713 1299 34 _ _ NNP 39713 1299 35 . . . 39713 1300 1 What what WP 39713 1300 2 is be VBZ 39713 1300 3 applied apply VBN 39713 1300 4 to to IN 39713 1300 5 the the DT 39713 1300 6 body body NN 39713 1300 7 _ _ NNP 39713 1300 8 C C NNP 39713 1300 9 _ _ NNP 39713 1300 10 is be VBZ 39713 1300 11 the the DT 39713 1300 12 action action NN 39713 1300 13 _ _ NNP 39713 1300 14 A A NNP 39713 1300 15 _ _ NNP 39713 1300 16 of of IN 39713 1300 17 the the DT 39713 1300 18 body body NN 39713 1300 19 _ _ NNP 39713 1300 20 P P NNP 39713 1300 21 _ _ NNP 39713 1300 22 on on IN 39713 1300 23 the the DT 39713 1300 24 body body NN 39713 1300 25 _ _ NNP 39713 1300 26 C C NNP 39713 1300 27 _ _ NNP 39713 1300 28 ; ; : 39713 1300 29 the the DT 39713 1300 30 body body NN 39713 1300 31 _ _ NNP 39713 1300 32 P P NNP 39713 1300 33 _ _ NNP 39713 1300 34 is be VBZ 39713 1300 35 submitted submit VBN 39713 1300 36 on on IN 39713 1300 37 its -PRON- PRP$ 39713 1300 38 part part NN 39713 1300 39 , , , 39713 1300 40 on on IN 39713 1300 41 the the DT 39713 1300 42 one one CD 39713 1300 43 hand hand NN 39713 1300 44 , , , 39713 1300 45 to to IN 39713 1300 46 its -PRON- PRP$ 39713 1300 47 weight weight NN 39713 1300 48 ; ; : 39713 1300 49 on on IN 39713 1300 50 the the DT 39713 1300 51 other other JJ 39713 1300 52 hand hand NN 39713 1300 53 , , , 39713 1300 54 to to IN 39713 1300 55 the the DT 39713 1300 56 reaction reaction NN 39713 1300 57 _ _ NNP 39713 1300 58 R R NNP 39713 1300 59 _ _ NNP 39713 1300 60 of of IN 39713 1300 61 the the DT 39713 1300 62 body body NN 39713 1300 63 _ _ NNP 39713 1300 64 C C NNP 39713 1300 65 _ _ NNP 39713 1300 66 on on IN 39713 1300 67 _ _ NNP 39713 1300 68 P P NNP 39713 1300 69 _ _ NNP 39713 1300 70 . . . 39713 1301 1 Finally finally RB 39713 1301 2 , , , 39713 1301 3 the the DT 39713 1301 4 force force NN 39713 1301 5 _ _ NNP 39713 1301 6 F F NNP 39713 1301 7 _ _ NNP 39713 1301 8 is be VBZ 39713 1301 9 equal equal JJ 39713 1301 10 to to IN 39713 1301 11 the the DT 39713 1301 12 force force NN 39713 1301 13 _ _ NNP 39713 1301 14 A A NNP 39713 1301 15 _ _ NNP 39713 1301 16 , , , 39713 1301 17 since since IN 39713 1301 18 it -PRON- PRP 39713 1301 19 balances balance VBZ 39713 1301 20 it -PRON- PRP 39713 1301 21 ; ; : 39713 1301 22 the the DT 39713 1301 23 force force NN 39713 1301 24 _ _ NNP 39713 1301 25 A A NNP 39713 1301 26 _ _ NNP 39713 1301 27 is be VBZ 39713 1301 28 equal equal JJ 39713 1301 29 to to IN 39713 1301 30 _ _ NNP 39713 1301 31 R R NNP 39713 1301 32 _ _ NNP 39713 1301 33 , , , 39713 1301 34 in in IN 39713 1301 35 virtue virtue NN 39713 1301 36 of of IN 39713 1301 37 the the DT 39713 1301 38 principle principle NN 39713 1301 39 of of IN 39713 1301 40 the the DT 39713 1301 41 equality equality NN 39713 1301 42 of of IN 39713 1301 43 action action NN 39713 1301 44 and and CC 39713 1301 45 reaction reaction NN 39713 1301 46 ; ; : 39713 1301 47 lastly lastly RB 39713 1301 48 , , , 39713 1301 49 the the DT 39713 1301 50 force force NN 39713 1301 51 _ _ NNP 39713 1301 52 R R NNP 39713 1301 53 _ _ NNP 39713 1301 54 is be VBZ 39713 1301 55 equal equal JJ 39713 1301 56 to to IN 39713 1301 57 the the DT 39713 1301 58 weight weight NN 39713 1301 59 of of IN 39713 1301 60 _ _ NNP 39713 1301 61 P P NNP 39713 1301 62 _ _ NNP 39713 1301 63 , , , 39713 1301 64 since since IN 39713 1301 65 it -PRON- PRP 39713 1301 66 balances balance VBZ 39713 1301 67 it -PRON- PRP 39713 1301 68 . . . 39713 1302 1 It -PRON- PRP 39713 1302 2 is be VBZ 39713 1302 3 from from IN 39713 1302 4 these these DT 39713 1302 5 three three CD 39713 1302 6 equalities equality NNS 39713 1302 7 we -PRON- PRP 39713 1302 8 deduce deduce VBP 39713 1302 9 as as IN 39713 1302 10 consequence consequence NN 39713 1302 11 the the DT 39713 1302 12 equality equality NN 39713 1302 13 of of IN 39713 1302 14 _ _ NNP 39713 1302 15 F F NNP 39713 1302 16 _ _ NNP 39713 1302 17 and and CC 39713 1302 18 the the DT 39713 1302 19 weight weight NN 39713 1302 20 of of IN 39713 1302 21 _ _ NNP 39713 1302 22 P P NNP 39713 1302 23 _ _ NNP 39713 1302 24 . . . 39713 1303 1 We -PRON- PRP 39713 1303 2 are be VBP 39713 1303 3 therefore therefore RB 39713 1303 4 obliged oblige VBN 39713 1303 5 in in IN 39713 1303 6 the the DT 39713 1303 7 definition definition NN 39713 1303 8 of of IN 39713 1303 9 the the DT 39713 1303 10 equality equality NN 39713 1303 11 of of IN 39713 1303 12 the the DT 39713 1303 13 two two CD 39713 1303 14 forces force NNS 39713 1303 15 to to TO 39713 1303 16 bring bring VB 39713 1303 17 in in RP 39713 1303 18 the the DT 39713 1303 19 principle principle NN 39713 1303 20 of of IN 39713 1303 21 the the DT 39713 1303 22 equality equality NN 39713 1303 23 of of IN 39713 1303 24 action action NN 39713 1303 25 and and CC 39713 1303 26 reaction reaction NN 39713 1303 27 ; ; : 39713 1303 28 _ _ NNP 39713 1303 29 on on IN 39713 1303 30 this this DT 39713 1303 31 account account NN 39713 1303 32 , , , 39713 1303 33 this this DT 39713 1303 34 principle principle NN 39713 1303 35 must must MD 39713 1303 36 no no RB 39713 1303 37 longer longer RB 39713 1303 38 be be VB 39713 1303 39 regarded regard VBN 39713 1303 40 as as IN 39713 1303 41 an an DT 39713 1303 42 experimental experimental JJ 39713 1303 43 law law NN 39713 1303 44 , , , 39713 1303 45 but but CC 39713 1303 46 as as IN 39713 1303 47 a a DT 39713 1303 48 definition definition NN 39713 1303 49 _ _ NNP 39713 1303 50 . . . 39713 1304 1 For for IN 39713 1304 2 recognizing recognize VBG 39713 1304 3 the the DT 39713 1304 4 equality equality NN 39713 1304 5 of of IN 39713 1304 6 two two CD 39713 1304 7 forces force NNS 39713 1304 8 here here RB 39713 1304 9 , , , 39713 1304 10 we -PRON- PRP 39713 1304 11 are be VBP 39713 1304 12 then then RB 39713 1304 13 in in IN 39713 1304 14 possession possession NN 39713 1304 15 of of IN 39713 1304 16 two two CD 39713 1304 17 rules rule NNS 39713 1304 18 : : : 39713 1304 19 equality equality NN 39713 1304 20 of of IN 39713 1304 21 two two CD 39713 1304 22 forces force NNS 39713 1304 23 which which WDT 39713 1304 24 balance balance NN 39713 1304 25 ; ; : 39713 1304 26 equality equality NN 39713 1304 27 of of IN 39713 1304 28 action action NN 39713 1304 29 and and CC 39713 1304 30 reaction reaction NN 39713 1304 31 . . . 39713 1305 1 But but CC 39713 1305 2 , , , 39713 1305 3 as as IN 39713 1305 4 we -PRON- PRP 39713 1305 5 have have VBP 39713 1305 6 seen see VBN 39713 1305 7 above above RB 39713 1305 8 , , , 39713 1305 9 these these DT 39713 1305 10 two two CD 39713 1305 11 rules rule NNS 39713 1305 12 are be VBP 39713 1305 13 insufficient insufficient JJ 39713 1305 14 ; ; : 39713 1305 15 we -PRON- PRP 39713 1305 16 are be VBP 39713 1305 17 obliged oblige VBN 39713 1305 18 to to TO 39713 1305 19 have have VB 39713 1305 20 recourse recourse VBN 39713 1305 21 to to IN 39713 1305 22 a a DT 39713 1305 23 third third JJ 39713 1305 24 rule rule NN 39713 1305 25 and and CC 39713 1305 26 to to TO 39713 1305 27 assume assume VB 39713 1305 28 that that IN 39713 1305 29 certain certain JJ 39713 1305 30 forces force NNS 39713 1305 31 , , , 39713 1305 32 as as IN 39713 1305 33 , , , 39713 1305 34 for for IN 39713 1305 35 instance instance NN 39713 1305 36 , , , 39713 1305 37 the the DT 39713 1305 38 weight weight NN 39713 1305 39 of of IN 39713 1305 40 a a DT 39713 1305 41 body body NN 39713 1305 42 , , , 39713 1305 43 are be VBP 39713 1305 44 constant constant JJ 39713 1305 45 in in IN 39713 1305 46 magnitude magnitude NN 39713 1305 47 and and CC 39713 1305 48 direction direction NN 39713 1305 49 . . . 39713 1306 1 But but CC 39713 1306 2 this this DT 39713 1306 3 third third JJ 39713 1306 4 rule rule NN 39713 1306 5 , , , 39713 1306 6 as as IN 39713 1306 7 I -PRON- PRP 39713 1306 8 have have VBP 39713 1306 9 said say VBD 39713 1306 10 , , , 39713 1306 11 is be VBZ 39713 1306 12 an an DT 39713 1306 13 experimental experimental JJ 39713 1306 14 law law NN 39713 1306 15 ; ; : 39713 1306 16 it -PRON- PRP 39713 1306 17 is be VBZ 39713 1306 18 only only RB 39713 1306 19 approximately approximately RB 39713 1306 20 true true JJ 39713 1306 21 ; ; : 39713 1306 22 _ _ IN 39713 1306 23 it -PRON- PRP 39713 1306 24 is be VBZ 39713 1306 25 a a DT 39713 1306 26 bad bad JJ 39713 1306 27 definition definition NN 39713 1306 28 _ _ NNP 39713 1306 29 . . . 39713 1307 1 We -PRON- PRP 39713 1307 2 are be VBP 39713 1307 3 therefore therefore RB 39713 1307 4 reduced reduce VBN 39713 1307 5 to to IN 39713 1307 6 Kirchhoff Kirchhoff NNP 39713 1307 7 's 's POS 39713 1307 8 definition definition NN 39713 1307 9 ; ; : 39713 1307 10 _ _ NNP 39713 1307 11 force force NN 39713 1307 12 is be VBZ 39713 1307 13 equal equal JJ 39713 1307 14 to to IN 39713 1307 15 the the DT 39713 1307 16 mass mass NN 39713 1307 17 multiplied multiply VBN 39713 1307 18 by by IN 39713 1307 19 the the DT 39713 1307 20 acceleration acceleration NN 39713 1307 21 _ _ NNP 39713 1307 22 . . . 39713 1308 1 This this DT 39713 1308 2 ' ' `` 39713 1308 3 law law NN 39713 1308 4 of of IN 39713 1308 5 Newton Newton NNP 39713 1308 6 ' ' '' 39713 1308 7 in in IN 39713 1308 8 its -PRON- PRP$ 39713 1308 9 turn turn NN 39713 1308 10 ceases cease VBZ 39713 1308 11 to to TO 39713 1308 12 be be VB 39713 1308 13 regarded regard VBN 39713 1308 14 as as IN 39713 1308 15 an an DT 39713 1308 16 experimental experimental JJ 39713 1308 17 law law NN 39713 1308 18 , , , 39713 1308 19 it -PRON- PRP 39713 1308 20 is be VBZ 39713 1308 21 now now RB 39713 1308 22 only only RB 39713 1308 23 a a DT 39713 1308 24 definition definition NN 39713 1308 25 . . . 39713 1309 1 But but CC 39713 1309 2 this this DT 39713 1309 3 definition definition NN 39713 1309 4 is be VBZ 39713 1309 5 still still RB 39713 1309 6 insufficient insufficient JJ 39713 1309 7 , , , 39713 1309 8 for for IN 39713 1309 9 we -PRON- PRP 39713 1309 10 do do VBP 39713 1309 11 not not RB 39713 1309 12 know know VB 39713 1309 13 what what WP 39713 1309 14 mass mass NN 39713 1309 15 is be VBZ 39713 1309 16 . . . 39713 1310 1 It -PRON- PRP 39713 1310 2 enables enable VBZ 39713 1310 3 us -PRON- PRP 39713 1310 4 doubtless doubtless JJ 39713 1310 5 to to TO 39713 1310 6 calculate calculate VB 39713 1310 7 the the DT 39713 1310 8 relation relation NN 39713 1310 9 of of IN 39713 1310 10 two two CD 39713 1310 11 forces force NNS 39713 1310 12 applied apply VBN 39713 1310 13 to to IN 39713 1310 14 the the DT 39713 1310 15 same same JJ 39713 1310 16 body body NN 39713 1310 17 at at IN 39713 1310 18 different different JJ 39713 1310 19 instants instant NNS 39713 1310 20 ; ; : 39713 1310 21 it -PRON- PRP 39713 1310 22 teaches teach VBZ 39713 1310 23 us -PRON- PRP 39713 1310 24 nothing nothing NN 39713 1310 25 about about IN 39713 1310 26 the the DT 39713 1310 27 relation relation NN 39713 1310 28 of of IN 39713 1310 29 two two CD 39713 1310 30 forces force NNS 39713 1310 31 applied apply VBN 39713 1310 32 to to IN 39713 1310 33 two two CD 39713 1310 34 different different JJ 39713 1310 35 bodies body NNS 39713 1310 36 . . . 39713 1311 1 To to TO 39713 1311 2 complete complete VB 39713 1311 3 it -PRON- PRP 39713 1311 4 , , , 39713 1311 5 it -PRON- PRP 39713 1311 6 is be VBZ 39713 1311 7 necessary necessary JJ 39713 1311 8 to to TO 39713 1311 9 go go VB 39713 1311 10 back back RB 39713 1311 11 anew anew RB 39713 1311 12 to to IN 39713 1311 13 Newton Newton NNP 39713 1311 14 's 's POS 39713 1311 15 third third JJ 39713 1311 16 law law NN 39713 1311 17 ( ( -LRB- 39713 1311 18 equality equality NN 39713 1311 19 of of IN 39713 1311 20 action action NN 39713 1311 21 and and CC 39713 1311 22 reaction reaction NN 39713 1311 23 ) ) -RRB- 39713 1311 24 , , , 39713 1311 25 regarded regard VBD 39713 1311 26 again again RB 39713 1311 27 , , , 39713 1311 28 not not RB 39713 1311 29 as as IN 39713 1311 30 an an DT 39713 1311 31 experimental experimental JJ 39713 1311 32 law law NN 39713 1311 33 , , , 39713 1311 34 but but CC 39713 1311 35 as as IN 39713 1311 36 a a DT 39713 1311 37 definition definition NN 39713 1311 38 . . . 39713 1312 1 Two two CD 39713 1312 2 bodies body NNS 39713 1312 3 _ _ NNP 39713 1312 4 A A NNP 39713 1312 5 _ _ NNP 39713 1312 6 and and CC 39713 1312 7 _ _ NNP 39713 1312 8 B B NNP 39713 1312 9 _ _ NNP 39713 1312 10 act act NN 39713 1312 11 one one CD 39713 1312 12 upon upon IN 39713 1312 13 the the DT 39713 1312 14 other other JJ 39713 1312 15 ; ; : 39713 1312 16 the the DT 39713 1312 17 acceleration acceleration NN 39713 1312 18 of of IN 39713 1312 19 _ _ NNP 39713 1312 20 A A NNP 39713 1312 21 _ _ NNP 39713 1312 22 multiplied multiply VBN 39713 1312 23 by by IN 39713 1312 24 the the DT 39713 1312 25 mass mass NN 39713 1312 26 of of IN 39713 1312 27 _ _ NNP 39713 1312 28 A A NNP 39713 1312 29 _ _ NNP 39713 1312 30 is be VBZ 39713 1312 31 equal equal JJ 39713 1312 32 to to IN 39713 1312 33 the the DT 39713 1312 34 action action NN 39713 1312 35 of of IN 39713 1312 36 _ _ NNP 39713 1312 37 B B NNP 39713 1312 38 _ _ NNP 39713 1312 39 upon upon IN 39713 1312 40 _ _ NNP 39713 1312 41 A A NNP 39713 1312 42 _ _ NNP 39713 1312 43 ; ; : 39713 1312 44 in in IN 39713 1312 45 the the DT 39713 1312 46 same same JJ 39713 1312 47 way way NN 39713 1312 48 , , , 39713 1312 49 the the DT 39713 1312 50 product product NN 39713 1312 51 of of IN 39713 1312 52 the the DT 39713 1312 53 acceleration acceleration NN 39713 1312 54 of of IN 39713 1312 55 _ _ NNP 39713 1312 56 B B NNP 39713 1312 57 _ _ NNP 39713 1312 58 by by IN 39713 1312 59 its -PRON- PRP$ 39713 1312 60 mass mass NN 39713 1312 61 is be VBZ 39713 1312 62 equal equal JJ 39713 1312 63 to to IN 39713 1312 64 the the DT 39713 1312 65 reaction reaction NN 39713 1312 66 of of IN 39713 1312 67 _ _ NNP 39713 1312 68 A A NNP 39713 1312 69 _ _ NNP 39713 1312 70 upon upon IN 39713 1312 71 _ _ NNP 39713 1312 72 B B NNP 39713 1312 73 _ _ NNP 39713 1312 74 . . . 39713 1313 1 As as IN 39713 1313 2 , , , 39713 1313 3 by by IN 39713 1313 4 definition definition NN 39713 1313 5 , , , 39713 1313 6 action action NN 39713 1313 7 is be VBZ 39713 1313 8 equal equal JJ 39713 1313 9 to to IN 39713 1313 10 reaction reaction NN 39713 1313 11 , , , 39713 1313 12 the the DT 39713 1313 13 masses masse NNS 39713 1313 14 of of IN 39713 1313 15 _ _ NNP 39713 1313 16 A A NNP 39713 1313 17 _ _ NNP 39713 1313 18 and and CC 39713 1313 19 _ _ NNP 39713 1313 20 B B NNP 39713 1313 21 _ _ NNP 39713 1313 22 are be VBP 39713 1313 23 in in IN 39713 1313 24 the the DT 39713 1313 25 inverse inverse NN 39713 1313 26 ratio ratio NN 39713 1313 27 of of IN 39713 1313 28 their -PRON- PRP$ 39713 1313 29 accelerations acceleration NNS 39713 1313 30 . . . 39713 1314 1 Here here RB 39713 1314 2 we -PRON- PRP 39713 1314 3 have have VBP 39713 1314 4 the the DT 39713 1314 5 ratio ratio NN 39713 1314 6 of of IN 39713 1314 7 these these DT 39713 1314 8 two two CD 39713 1314 9 masses masse NNS 39713 1314 10 defined define VBN 39713 1314 11 , , , 39713 1314 12 and and CC 39713 1314 13 it -PRON- PRP 39713 1314 14 is be VBZ 39713 1314 15 for for IN 39713 1314 16 experiment experiment NN 39713 1314 17 to to TO 39713 1314 18 verify verify VB 39713 1314 19 that that IN 39713 1314 20 this this DT 39713 1314 21 ratio ratio NN 39713 1314 22 is be VBZ 39713 1314 23 constant constant JJ 39713 1314 24 . . . 39713 1315 1 That that DT 39713 1315 2 would would MD 39713 1315 3 be be VB 39713 1315 4 all all DT 39713 1315 5 very very RB 39713 1315 6 well well RB 39713 1315 7 if if IN 39713 1315 8 the the DT 39713 1315 9 two two CD 39713 1315 10 bodies body NNS 39713 1315 11 _ _ NNP 39713 1315 12 A A NNP 39713 1315 13 _ _ NNP 39713 1315 14 and and CC 39713 1315 15 _ _ NNP 39713 1315 16 B B NNP 39713 1315 17 _ _ NNP 39713 1315 18 alone alone RB 39713 1315 19 were be VBD 39713 1315 20 present present JJ 39713 1315 21 and and CC 39713 1315 22 removed remove VBN 39713 1315 23 from from IN 39713 1315 24 the the DT 39713 1315 25 action action NN 39713 1315 26 of of IN 39713 1315 27 the the DT 39713 1315 28 rest rest NN 39713 1315 29 of of IN 39713 1315 30 the the DT 39713 1315 31 world world NN 39713 1315 32 . . . 39713 1316 1 This this DT 39713 1316 2 is be VBZ 39713 1316 3 not not RB 39713 1316 4 at at RB 39713 1316 5 all all RB 39713 1316 6 the the DT 39713 1316 7 case case NN 39713 1316 8 ; ; : 39713 1316 9 the the DT 39713 1316 10 acceleration acceleration NN 39713 1316 11 of of IN 39713 1316 12 _ _ NNP 39713 1316 13 A A NNP 39713 1316 14 _ _ NNP 39713 1316 15 is be VBZ 39713 1316 16 not not RB 39713 1316 17 due due JJ 39713 1316 18 merely merely RB 39713 1316 19 to to IN 39713 1316 20 the the DT 39713 1316 21 action action NN 39713 1316 22 of of IN 39713 1316 23 _ _ NNP 39713 1316 24 B B NNP 39713 1316 25 _ _ NNP 39713 1316 26 , , , 39713 1316 27 but but CC 39713 1316 28 to to IN 39713 1316 29 that that DT 39713 1316 30 of of IN 39713 1316 31 a a DT 39713 1316 32 multitude multitude NN 39713 1316 33 of of IN 39713 1316 34 other other JJ 39713 1316 35 bodies body NNS 39713 1316 36 _ _ NNP 39713 1316 37 C C NNP 39713 1316 38 _ _ NNP 39713 1316 39 , , , 39713 1316 40 _ _ NNP 39713 1316 41 D D NNP 39713 1316 42 _ _ NNP 39713 1316 43 , , , 39713 1316 44 ... ... . 39713 1316 45 To to TO 39713 1316 46 apply apply VB 39713 1316 47 the the DT 39713 1316 48 preceding precede VBG 39713 1316 49 rule rule NN 39713 1316 50 , , , 39713 1316 51 it -PRON- PRP 39713 1316 52 is be VBZ 39713 1316 53 therefore therefore RB 39713 1316 54 necessary necessary JJ 39713 1316 55 to to TO 39713 1316 56 separate separate VB 39713 1316 57 the the DT 39713 1316 58 acceleration acceleration NN 39713 1316 59 of of IN 39713 1316 60 _ _ NNP 39713 1316 61 A A NNP 39713 1316 62 _ _ NNP 39713 1316 63 into into IN 39713 1316 64 many many JJ 39713 1316 65 components component NNS 39713 1316 66 , , , 39713 1316 67 and and CC 39713 1316 68 discern discern JJ 39713 1316 69 which which WDT 39713 1316 70 of of IN 39713 1316 71 these these DT 39713 1316 72 components component NNS 39713 1316 73 is be VBZ 39713 1316 74 due due JJ 39713 1316 75 to to IN 39713 1316 76 the the DT 39713 1316 77 action action NN 39713 1316 78 of of IN 39713 1316 79 _ _ NNP 39713 1316 80 B B NNP 39713 1316 81 _ _ NNP 39713 1316 82 . . . 39713 1317 1 This this DT 39713 1317 2 separation separation NN 39713 1317 3 would would MD 39713 1317 4 still still RB 39713 1317 5 be be VB 39713 1317 6 possible possible JJ 39713 1317 7 , , , 39713 1317 8 if if IN 39713 1317 9 we -PRON- PRP 39713 1317 10 _ _ NNP 39713 1317 11 should should MD 39713 1317 12 assume assume VB 39713 1317 13 _ _ NNP 39713 1317 14 that that IN 39713 1317 15 the the DT 39713 1317 16 action action NN 39713 1317 17 of of IN 39713 1317 18 _ _ NNP 39713 1317 19 C C NNP 39713 1317 20 _ _ NNP 39713 1317 21 upon upon IN 39713 1317 22 _ _ NNP 39713 1317 23 A A NNP 39713 1317 24 _ _ NNP 39713 1317 25 is be VBZ 39713 1317 26 simply simply RB 39713 1317 27 adjoined adjoin VBN 39713 1317 28 to to IN 39713 1317 29 that that DT 39713 1317 30 of of IN 39713 1317 31 _ _ NNP 39713 1317 32 B B NNP 39713 1317 33 _ _ NNP 39713 1317 34 upon upon IN 39713 1317 35 _ _ NNP 39713 1317 36 A A NNP 39713 1317 37 _ _ NNP 39713 1317 38 , , , 39713 1317 39 without without IN 39713 1317 40 the the DT 39713 1317 41 presence presence NN 39713 1317 42 of of IN 39713 1317 43 the the DT 39713 1317 44 body body NN 39713 1317 45 _ _ NNP 39713 1317 46 C C NNP 39713 1317 47 _ _ NNP 39713 1317 48 modifying modify VBG 39713 1317 49 the the DT 39713 1317 50 action action NN 39713 1317 51 of of IN 39713 1317 52 _ _ NNP 39713 1317 53 B B NNP 39713 1317 54 _ _ NNP 39713 1317 55 upon upon IN 39713 1317 56 _ _ NNP 39713 1317 57 A A NNP 39713 1317 58 _ _ NNP 39713 1317 59 ; ; : 39713 1317 60 or or CC 39713 1317 61 the the DT 39713 1317 62 presence presence NN 39713 1317 63 of of IN 39713 1317 64 _ _ NNP 39713 1317 65 B B NNP 39713 1317 66 _ _ NNP 39713 1317 67 modifying modify VBG 39713 1317 68 the the DT 39713 1317 69 action action NN 39713 1317 70 of of IN 39713 1317 71 _ _ NNP 39713 1317 72 C C NNP 39713 1317 73 _ _ NNP 39713 1317 74 upon upon IN 39713 1317 75 _ _ NNP 39713 1317 76 A A NNP 39713 1317 77 _ _ NNP 39713 1317 78 ; ; : 39713 1317 79 if if IN 39713 1317 80 we -PRON- PRP 39713 1317 81 should should MD 39713 1317 82 assume assume VB 39713 1317 83 , , , 39713 1317 84 consequently consequently RB 39713 1317 85 , , , 39713 1317 86 that that IN 39713 1317 87 any any DT 39713 1317 88 two two CD 39713 1317 89 bodies body NNS 39713 1317 90 attract attract VBP 39713 1317 91 each each DT 39713 1317 92 other other JJ 39713 1317 93 , , , 39713 1317 94 that that IN 39713 1317 95 their -PRON- PRP$ 39713 1317 96 mutual mutual JJ 39713 1317 97 action action NN 39713 1317 98 is be VBZ 39713 1317 99 along along IN 39713 1317 100 their -PRON- PRP$ 39713 1317 101 join join NN 39713 1317 102 and and CC 39713 1317 103 depends depend VBZ 39713 1317 104 only only RB 39713 1317 105 upon upon IN 39713 1317 106 their -PRON- PRP$ 39713 1317 107 distance distance NN 39713 1317 108 apart apart RB 39713 1317 109 ; ; : 39713 1317 110 if if IN 39713 1317 111 , , , 39713 1317 112 in in IN 39713 1317 113 a a DT 39713 1317 114 word word NN 39713 1317 115 , , , 39713 1317 116 we -PRON- PRP 39713 1317 117 assume assume VBP 39713 1317 118 _ _ IN 39713 1317 119 the the DT 39713 1317 120 hypothesis hypothesis NN 39713 1317 121 of of IN 39713 1317 122 central central JJ 39713 1317 123 forces force NNS 39713 1317 124 _ _ NNP 39713 1317 125 . . . 39713 1318 1 You -PRON- PRP 39713 1318 2 know know VBP 39713 1318 3 that that DT 39713 1318 4 to to TO 39713 1318 5 determine determine VB 39713 1318 6 the the DT 39713 1318 7 masses masse NNS 39713 1318 8 of of IN 39713 1318 9 the the DT 39713 1318 10 celestial celestial JJ 39713 1318 11 bodies body NNS 39713 1318 12 we -PRON- PRP 39713 1318 13 use use VBP 39713 1318 14 a a DT 39713 1318 15 wholly wholly RB 39713 1318 16 different different JJ 39713 1318 17 principle principle NN 39713 1318 18 . . . 39713 1319 1 The the DT 39713 1319 2 law law NN 39713 1319 3 of of IN 39713 1319 4 gravitation gravitation NN 39713 1319 5 teaches teach VBZ 39713 1319 6 us -PRON- PRP 39713 1319 7 that that IN 39713 1319 8 the the DT 39713 1319 9 attraction attraction NN 39713 1319 10 of of IN 39713 1319 11 two two CD 39713 1319 12 bodies body NNS 39713 1319 13 is be VBZ 39713 1319 14 proportional proportional JJ 39713 1319 15 to to IN 39713 1319 16 their -PRON- PRP$ 39713 1319 17 masses masse NNS 39713 1319 18 ; ; : 39713 1319 19 if if IN 39713 1319 20 _ _ NNP 39713 1319 21 r r NNP 39713 1319 22 _ _ NNP 39713 1319 23 is be VBZ 39713 1319 24 their -PRON- PRP$ 39713 1319 25 distance distance NN 39713 1319 26 apart apart RB 39713 1319 27 , , , 39713 1319 28 _ _ NNP 39713 1319 29 m m NNP 39713 1319 30 _ _ NNP 39713 1319 31 and and CC 39713 1319 32 _ _ NNP 39713 1319 33 m m NNP 39713 1319 34 ' ' '' 39713 1319 35 _ _ NNP 39713 1319 36 their -PRON- PRP$ 39713 1319 37 masses masse NNS 39713 1319 38 , , , 39713 1319 39 _ _ NNP 39713 1319 40 k k NNP 39713 1319 41 _ _ NNP 39713 1319 42 a a DT 39713 1319 43 constant constant NN 39713 1319 44 , , , 39713 1319 45 their -PRON- PRP$ 39713 1319 46 attraction attraction NN 39713 1319 47 will will MD 39713 1319 48 be be VB 39713 1319 49 _ _ NNP 39713 1319 50 kmm'_/_r_^{2 kmm'_/_r_^{2 . 39713 1319 51 } } -RRB- 39713 1319 52 . . . 39713 1320 1 What what WP 39713 1320 2 we -PRON- PRP 39713 1320 3 are be VBP 39713 1320 4 measuring measure VBG 39713 1320 5 then then RB 39713 1320 6 is be VBZ 39713 1320 7 not not RB 39713 1320 8 mass mass JJ 39713 1320 9 , , , 39713 1320 10 the the DT 39713 1320 11 ratio ratio NN 39713 1320 12 of of IN 39713 1320 13 force force NN 39713 1320 14 to to IN 39713 1320 15 acceleration acceleration NN 39713 1320 16 , , , 39713 1320 17 but but CC 39713 1320 18 the the DT 39713 1320 19 attracting attract VBG 39713 1320 20 mass mass NN 39713 1320 21 ; ; : 39713 1320 22 it -PRON- PRP 39713 1320 23 is be VBZ 39713 1320 24 not not RB 39713 1320 25 the the DT 39713 1320 26 inertia inertia NN 39713 1320 27 of of IN 39713 1320 28 the the DT 39713 1320 29 body body NN 39713 1320 30 , , , 39713 1320 31 but but CC 39713 1320 32 its -PRON- PRP$ 39713 1320 33 attracting attract VBG 39713 1320 34 force force NN 39713 1320 35 . . . 39713 1321 1 This this DT 39713 1321 2 is be VBZ 39713 1321 3 an an DT 39713 1321 4 indirect indirect JJ 39713 1321 5 procedure procedure NN 39713 1321 6 , , , 39713 1321 7 whose whose WP$ 39713 1321 8 employment employment NN 39713 1321 9 is be VBZ 39713 1321 10 not not RB 39713 1321 11 theoretically theoretically RB 39713 1321 12 indispensable indispensable JJ 39713 1321 13 . . . 39713 1322 1 It -PRON- PRP 39713 1322 2 might may MD 39713 1322 3 very very RB 39713 1322 4 well well RB 39713 1322 5 have have VB 39713 1322 6 been be VBN 39713 1322 7 that that DT 39713 1322 8 attraction attraction NN 39713 1322 9 was be VBD 39713 1322 10 inversely inversely RB 39713 1322 11 proportional proportional JJ 39713 1322 12 to to IN 39713 1322 13 the the DT 39713 1322 14 square square NN 39713 1322 15 of of IN 39713 1322 16 the the DT 39713 1322 17 distance distance NN 39713 1322 18 without without IN 39713 1322 19 being be VBG 39713 1322 20 proportional proportional JJ 39713 1322 21 to to IN 39713 1322 22 the the DT 39713 1322 23 product product NN 39713 1322 24 of of IN 39713 1322 25 the the DT 39713 1322 26 masses masse NNS 39713 1322 27 , , , 39713 1322 28 that that IN 39713 1322 29 it -PRON- PRP 39713 1322 30 was be VBD 39713 1322 31 equal equal JJ 39713 1322 32 to to IN 39713 1322 33 _ _ NNP 39713 1322 34 f_/_r_^{2 f_/_r_^{2 NNP 39713 1322 35 } } -RRB- 39713 1322 36 , , , 39713 1322 37 but but CC 39713 1322 38 without without IN 39713 1322 39 our -PRON- PRP$ 39713 1322 40 having have VBG 39713 1322 41 _ _ NNP 39713 1322 42 f f NNP 39713 1322 43 _ _ NNP 39713 1322 44 = = SYM 39713 1322 45 _ _ NNP 39713 1322 46 kmm kmm NNP 39713 1322 47 ' ' '' 39713 1322 48 _ _ XX 39713 1322 49 . . . 39713 1323 1 If if IN 39713 1323 2 it -PRON- PRP 39713 1323 3 were be VBD 39713 1323 4 so so RB 39713 1323 5 , , , 39713 1323 6 we -PRON- PRP 39713 1323 7 could could MD 39713 1323 8 nevertheless nevertheless RB 39713 1323 9 , , , 39713 1323 10 by by IN 39713 1323 11 observation observation NN 39713 1323 12 of of IN 39713 1323 13 the the DT 39713 1323 14 _ _ NNP 39713 1323 15 relative relative JJ 39713 1323 16 _ _ NNP 39713 1323 17 motions motion NNS 39713 1323 18 of of IN 39713 1323 19 the the DT 39713 1323 20 heavenly heavenly JJ 39713 1323 21 bodies body NNS 39713 1323 22 , , , 39713 1323 23 measure measure VB 39713 1323 24 the the DT 39713 1323 25 masses masse NNS 39713 1323 26 of of IN 39713 1323 27 these these DT 39713 1323 28 bodies body NNS 39713 1323 29 . . . 39713 1324 1 But but CC 39713 1324 2 have have VB 39713 1324 3 we -PRON- PRP 39713 1324 4 the the DT 39713 1324 5 right right NN 39713 1324 6 to to TO 39713 1324 7 admit admit VB 39713 1324 8 the the DT 39713 1324 9 hypothesis hypothesis NN 39713 1324 10 of of IN 39713 1324 11 central central JJ 39713 1324 12 forces force NNS 39713 1324 13 ? ? . 39713 1325 1 Is be VBZ 39713 1325 2 this this DT 39713 1325 3 hypothesis hypothesis NN 39713 1325 4 rigorously rigorously RB 39713 1325 5 exact exact JJ 39713 1325 6 ? ? . 39713 1326 1 Is be VBZ 39713 1326 2 it -PRON- PRP 39713 1326 3 certain certain JJ 39713 1326 4 it -PRON- PRP 39713 1326 5 will will MD 39713 1326 6 never never RB 39713 1326 7 be be VB 39713 1326 8 contradicted contradict VBN 39713 1326 9 by by IN 39713 1326 10 experiment experiment NN 39713 1326 11 ? ? . 39713 1327 1 Who who WP 39713 1327 2 would would MD 39713 1327 3 dare dare VB 39713 1327 4 affirm affirm VB 39713 1327 5 that that DT 39713 1327 6 ? ? . 39713 1328 1 And and CC 39713 1328 2 if if IN 39713 1328 3 we -PRON- PRP 39713 1328 4 must must MD 39713 1328 5 abandon abandon VB 39713 1328 6 this this DT 39713 1328 7 hypothesis hypothesis NN 39713 1328 8 , , , 39713 1328 9 the the DT 39713 1328 10 whole whole JJ 39713 1328 11 edifice edifice NN 39713 1328 12 so so RB 39713 1328 13 laboriously laboriously RB 39713 1328 14 erected erect VBN 39713 1328 15 will will MD 39713 1328 16 crumble crumble VB 39713 1328 17 . . . 39713 1329 1 We -PRON- PRP 39713 1329 2 have have VBP 39713 1329 3 no no RB 39713 1329 4 longer long RBR 39713 1329 5 the the DT 39713 1329 6 right right NN 39713 1329 7 to to TO 39713 1329 8 speak speak VB 39713 1329 9 of of IN 39713 1329 10 the the DT 39713 1329 11 component component NN 39713 1329 12 of of IN 39713 1329 13 the the DT 39713 1329 14 acceleration acceleration NN 39713 1329 15 of of IN 39713 1329 16 _ _ NNP 39713 1329 17 A A NNP 39713 1329 18 _ _ NNP 39713 1329 19 due due IN 39713 1329 20 to to IN 39713 1329 21 the the DT 39713 1329 22 action action NN 39713 1329 23 of of IN 39713 1329 24 _ _ NNP 39713 1329 25 B B NNP 39713 1329 26 _ _ NNP 39713 1329 27 . . . 39713 1330 1 We -PRON- PRP 39713 1330 2 have have VBP 39713 1330 3 no no DT 39713 1330 4 means means NN 39713 1330 5 of of IN 39713 1330 6 distinguishing distinguish VBG 39713 1330 7 it -PRON- PRP 39713 1330 8 from from IN 39713 1330 9 that that DT 39713 1330 10 due due IN 39713 1330 11 to to IN 39713 1330 12 the the DT 39713 1330 13 action action NN 39713 1330 14 of of IN 39713 1330 15 _ _ NNP 39713 1330 16 C C NNP 39713 1330 17 _ _ NNP 39713 1330 18 or or CC 39713 1330 19 of of IN 39713 1330 20 another another DT 39713 1330 21 body body NN 39713 1330 22 . . . 39713 1331 1 The the DT 39713 1331 2 rule rule NN 39713 1331 3 for for IN 39713 1331 4 the the DT 39713 1331 5 measurement measurement NN 39713 1331 6 of of IN 39713 1331 7 masses masse NNS 39713 1331 8 becomes become VBZ 39713 1331 9 inapplicable inapplicable JJ 39713 1331 10 . . . 39713 1332 1 What what WP 39713 1332 2 remains remain VBZ 39713 1332 3 then then RB 39713 1332 4 of of IN 39713 1332 5 the the DT 39713 1332 6 principle principle NN 39713 1332 7 of of IN 39713 1332 8 the the DT 39713 1332 9 equality equality NN 39713 1332 10 of of IN 39713 1332 11 action action NN 39713 1332 12 and and CC 39713 1332 13 reaction reaction NN 39713 1332 14 ? ? . 39713 1333 1 If if IN 39713 1333 2 the the DT 39713 1333 3 hypothesis hypothesis NN 39713 1333 4 of of IN 39713 1333 5 central central JJ 39713 1333 6 forces force NNS 39713 1333 7 is be VBZ 39713 1333 8 rejected reject VBN 39713 1333 9 , , , 39713 1333 10 this this DT 39713 1333 11 principle principle NN 39713 1333 12 should should MD 39713 1333 13 evidently evidently RB 39713 1333 14 be be VB 39713 1333 15 enunciated enunciate VBN 39713 1333 16 thus thus RB 39713 1333 17 : : : 39713 1333 18 the the DT 39713 1333 19 geometric geometric JJ 39713 1333 20 resultant resultant NN 39713 1333 21 of of IN 39713 1333 22 all all PDT 39713 1333 23 the the DT 39713 1333 24 forces force NNS 39713 1333 25 applied apply VBD 39713 1333 26 to to IN 39713 1333 27 the the DT 39713 1333 28 various various JJ 39713 1333 29 bodies body NNS 39713 1333 30 of of IN 39713 1333 31 a a DT 39713 1333 32 system system NN 39713 1333 33 isolated isolate VBN 39713 1333 34 from from IN 39713 1333 35 all all DT 39713 1333 36 external external JJ 39713 1333 37 action action NN 39713 1333 38 will will MD 39713 1333 39 be be VB 39713 1333 40 null null JJ 39713 1333 41 . . . 39713 1334 1 Or or CC 39713 1334 2 , , , 39713 1334 3 in in IN 39713 1334 4 other other JJ 39713 1334 5 words word NNS 39713 1334 6 , , , 39713 1334 7 _ _ NNP 39713 1334 8 the the DT 39713 1334 9 motion motion NN 39713 1334 10 of of IN 39713 1334 11 the the DT 39713 1334 12 center center NN 39713 1334 13 of of IN 39713 1334 14 gravity gravity NN 39713 1334 15 of of IN 39713 1334 16 this this DT 39713 1334 17 system system NN 39713 1334 18 will will MD 39713 1334 19 be be VB 39713 1334 20 rectilinear rectilinear JJ 39713 1334 21 and and CC 39713 1334 22 uniform uniform JJ 39713 1334 23 _ _ NNP 39713 1334 24 . . . 39713 1335 1 There there RB 39713 1335 2 it -PRON- PRP 39713 1335 3 seems seem VBZ 39713 1335 4 we -PRON- PRP 39713 1335 5 have have VBP 39713 1335 6 a a DT 39713 1335 7 means means NN 39713 1335 8 of of IN 39713 1335 9 defining define VBG 39713 1335 10 mass mass NN 39713 1335 11 ; ; : 39713 1335 12 the the DT 39713 1335 13 position position NN 39713 1335 14 of of IN 39713 1335 15 the the DT 39713 1335 16 center center NN 39713 1335 17 of of IN 39713 1335 18 gravity gravity NN 39713 1335 19 evidently evidently RB 39713 1335 20 depends depend VBZ 39713 1335 21 on on IN 39713 1335 22 the the DT 39713 1335 23 values value NNS 39713 1335 24 attributed attribute VBN 39713 1335 25 to to IN 39713 1335 26 the the DT 39713 1335 27 masses masse NNS 39713 1335 28 ; ; : 39713 1335 29 it -PRON- PRP 39713 1335 30 will will MD 39713 1335 31 be be VB 39713 1335 32 necessary necessary JJ 39713 1335 33 to to TO 39713 1335 34 dispose dispose VB 39713 1335 35 of of IN 39713 1335 36 these these DT 39713 1335 37 values value NNS 39713 1335 38 in in IN 39713 1335 39 such such PDT 39713 1335 40 a a DT 39713 1335 41 way way NN 39713 1335 42 that that WDT 39713 1335 43 the the DT 39713 1335 44 motion motion NN 39713 1335 45 of of IN 39713 1335 46 the the DT 39713 1335 47 center center NN 39713 1335 48 of of IN 39713 1335 49 gravity gravity NN 39713 1335 50 may may MD 39713 1335 51 be be VB 39713 1335 52 rectilinear rectilinear JJ 39713 1335 53 and and CC 39713 1335 54 uniform uniform JJ 39713 1335 55 ; ; : 39713 1335 56 this this DT 39713 1335 57 will will MD 39713 1335 58 always always RB 39713 1335 59 be be VB 39713 1335 60 possible possible JJ 39713 1335 61 if if IN 39713 1335 62 Newton Newton NNP 39713 1335 63 's 's POS 39713 1335 64 third third JJ 39713 1335 65 law law NN 39713 1335 66 is be VBZ 39713 1335 67 true true JJ 39713 1335 68 , , , 39713 1335 69 and and CC 39713 1335 70 possible possible JJ 39713 1335 71 in in IN 39713 1335 72 general general JJ 39713 1335 73 only only RB 39713 1335 74 in in IN 39713 1335 75 a a DT 39713 1335 76 single single JJ 39713 1335 77 way way NN 39713 1335 78 . . . 39713 1336 1 But but CC 39713 1336 2 there there EX 39713 1336 3 exists exist VBZ 39713 1336 4 no no DT 39713 1336 5 system system NN 39713 1336 6 isolated isolate VBN 39713 1336 7 from from IN 39713 1336 8 all all DT 39713 1336 9 external external JJ 39713 1336 10 action action NN 39713 1336 11 ; ; : 39713 1336 12 all all PDT 39713 1336 13 the the DT 39713 1336 14 parts part NNS 39713 1336 15 of of IN 39713 1336 16 the the DT 39713 1336 17 universe universe NN 39713 1336 18 are be VBP 39713 1336 19 subject subject JJ 39713 1336 20 more more RBR 39713 1336 21 or or CC 39713 1336 22 less less JJR 39713 1336 23 to to IN 39713 1336 24 the the DT 39713 1336 25 action action NN 39713 1336 26 of of IN 39713 1336 27 all all PDT 39713 1336 28 the the DT 39713 1336 29 other other JJ 39713 1336 30 parts part NNS 39713 1336 31 . . . 39713 1337 1 _ _ NNP 39713 1337 2 The the DT 39713 1337 3 law law NN 39713 1337 4 of of IN 39713 1337 5 the the DT 39713 1337 6 motion motion NN 39713 1337 7 of of IN 39713 1337 8 the the DT 39713 1337 9 center center NN 39713 1337 10 of of IN 39713 1337 11 gravity gravity NN 39713 1337 12 is be VBZ 39713 1337 13 rigorously rigorously RB 39713 1337 14 true true JJ 39713 1337 15 only only RB 39713 1337 16 if if IN 39713 1337 17 applied apply VBN 39713 1337 18 to to IN 39713 1337 19 the the DT 39713 1337 20 entire entire JJ 39713 1337 21 universe universe NN 39713 1337 22 . . . 39713 1337 23 _ _ NNP 39713 1337 24 But but CC 39713 1337 25 then then RB 39713 1337 26 , , , 39713 1337 27 to to TO 39713 1337 28 get get VB 39713 1337 29 from from IN 39713 1337 30 it -PRON- PRP 39713 1337 31 the the DT 39713 1337 32 values value NNS 39713 1337 33 of of IN 39713 1337 34 the the DT 39713 1337 35 masses masse NNS 39713 1337 36 , , , 39713 1337 37 it -PRON- PRP 39713 1337 38 would would MD 39713 1337 39 be be VB 39713 1337 40 necessary necessary JJ 39713 1337 41 to to TO 39713 1337 42 observe observe VB 39713 1337 43 the the DT 39713 1337 44 motion motion NN 39713 1337 45 of of IN 39713 1337 46 the the DT 39713 1337 47 center center NN 39713 1337 48 of of IN 39713 1337 49 gravity gravity NN 39713 1337 50 of of IN 39713 1337 51 the the DT 39713 1337 52 universe universe NN 39713 1337 53 . . . 39713 1338 1 The the DT 39713 1338 2 absurdity absurdity NN 39713 1338 3 of of IN 39713 1338 4 this this DT 39713 1338 5 consequence consequence NN 39713 1338 6 is be VBZ 39713 1338 7 manifest manif JJS 39713 1338 8 ; ; : 39713 1338 9 we -PRON- PRP 39713 1338 10 know know VBP 39713 1338 11 only only RB 39713 1338 12 relative relative JJ 39713 1338 13 motions motion NNS 39713 1338 14 ; ; : 39713 1338 15 the the DT 39713 1338 16 motion motion NN 39713 1338 17 of of IN 39713 1338 18 the the DT 39713 1338 19 center center NN 39713 1338 20 of of IN 39713 1338 21 gravity gravity NN 39713 1338 22 of of IN 39713 1338 23 the the DT 39713 1338 24 universe universe NN 39713 1338 25 will will MD 39713 1338 26 remain remain VB 39713 1338 27 for for IN 39713 1338 28 us -PRON- PRP 39713 1338 29 eternally eternally RB 39713 1338 30 unknown unknown JJ 39713 1338 31 . . . 39713 1339 1 Therefore therefore RB 39713 1339 2 nothing nothing NN 39713 1339 3 remains remain VBZ 39713 1339 4 and and CC 39713 1339 5 our -PRON- PRP$ 39713 1339 6 efforts effort NNS 39713 1339 7 have have VBP 39713 1339 8 been be VBN 39713 1339 9 fruitless fruitless JJ 39713 1339 10 ; ; : 39713 1339 11 we -PRON- PRP 39713 1339 12 are be VBP 39713 1339 13 driven drive VBN 39713 1339 14 to to IN 39713 1339 15 the the DT 39713 1339 16 following following JJ 39713 1339 17 definition definition NN 39713 1339 18 , , , 39713 1339 19 which which WDT 39713 1339 20 is be VBZ 39713 1339 21 only only RB 39713 1339 22 an an DT 39713 1339 23 avowal avowal NN 39713 1339 24 of of IN 39713 1339 25 powerlessness powerlessness NN 39713 1339 26 : : : 39713 1339 27 _ _ NNP 39713 1339 28 masses masse NNS 39713 1339 29 are be VBP 39713 1339 30 coefficients coefficient NNS 39713 1339 31 it -PRON- PRP 39713 1339 32 is be VBZ 39713 1339 33 convenient convenient JJ 39713 1339 34 to to TO 39713 1339 35 introduce introduce VB 39713 1339 36 into into IN 39713 1339 37 calculations calculation NNS 39713 1339 38 _ _ NNP 39713 1339 39 . . . 39713 1340 1 We -PRON- PRP 39713 1340 2 could could MD 39713 1340 3 reconstruct reconstruct VB 39713 1340 4 all all DT 39713 1340 5 mechanics mechanic NNS 39713 1340 6 by by IN 39713 1340 7 attributing attribute VBG 39713 1340 8 different different JJ 39713 1340 9 values value NNS 39713 1340 10 to to IN 39713 1340 11 all all PDT 39713 1340 12 the the DT 39713 1340 13 masses masse NNS 39713 1340 14 . . . 39713 1341 1 This this DT 39713 1341 2 new new JJ 39713 1341 3 mechanics mechanic NNS 39713 1341 4 would would MD 39713 1341 5 not not RB 39713 1341 6 be be VB 39713 1341 7 in in IN 39713 1341 8 contradiction contradiction NN 39713 1341 9 either either CC 39713 1341 10 with with IN 39713 1341 11 experience experience NN 39713 1341 12 or or CC 39713 1341 13 with with IN 39713 1341 14 the the DT 39713 1341 15 general general JJ 39713 1341 16 principles principle NNS 39713 1341 17 of of IN 39713 1341 18 dynamics dynamic NNS 39713 1341 19 ( ( -LRB- 39713 1341 20 principle principle NN 39713 1341 21 of of IN 39713 1341 22 inertia inertia NN 39713 1341 23 , , , 39713 1341 24 proportionality proportionality NN 39713 1341 25 of of IN 39713 1341 26 forces force NNS 39713 1341 27 to to IN 39713 1341 28 masses masse NNS 39713 1341 29 and and CC 39713 1341 30 to to IN 39713 1341 31 accelerations acceleration NNS 39713 1341 32 , , , 39713 1341 33 equality equality NN 39713 1341 34 of of IN 39713 1341 35 action action NN 39713 1341 36 and and CC 39713 1341 37 reaction reaction NN 39713 1341 38 , , , 39713 1341 39 rectilinear rectilinear NN 39713 1341 40 and and CC 39713 1341 41 uniform uniform JJ 39713 1341 42 motion motion NN 39713 1341 43 of of IN 39713 1341 44 the the DT 39713 1341 45 center center NN 39713 1341 46 of of IN 39713 1341 47 gravity gravity NN 39713 1341 48 , , , 39713 1341 49 principle principle NN 39713 1341 50 of of IN 39713 1341 51 areas area NNS 39713 1341 52 ) ) -RRB- 39713 1341 53 . . . 39713 1342 1 Only only RB 39713 1342 2 the the DT 39713 1342 3 equations equation NNS 39713 1342 4 of of IN 39713 1342 5 this this DT 39713 1342 6 new new JJ 39713 1342 7 mechanics mechanic NNS 39713 1342 8 would would MD 39713 1342 9 be be VB 39713 1342 10 _ _ NNP 39713 1342 11 less less RBR 39713 1342 12 simple simple JJ 39713 1342 13 _ _ NNP 39713 1342 14 . . . 39713 1343 1 Let let VB 39713 1343 2 us -PRON- PRP 39713 1343 3 understand understand VB 39713 1343 4 clearly clearly RB 39713 1343 5 : : : 39713 1343 6 it -PRON- PRP 39713 1343 7 would would MD 39713 1343 8 only only RB 39713 1343 9 be be VB 39713 1343 10 the the DT 39713 1343 11 first first JJ 39713 1343 12 terms term NNS 39713 1343 13 which which WDT 39713 1343 14 would would MD 39713 1343 15 be be VB 39713 1343 16 less less RBR 39713 1343 17 simple simple JJ 39713 1343 18 , , , 39713 1343 19 that that RB 39713 1343 20 is be VBZ 39713 1343 21 those those DT 39713 1343 22 experience experience NN 39713 1343 23 has have VBZ 39713 1343 24 already already RB 39713 1343 25 made make VBN 39713 1343 26 us -PRON- PRP 39713 1343 27 acquainted acquaint VBN 39713 1343 28 with with IN 39713 1343 29 ; ; : 39713 1343 30 perhaps perhaps RB 39713 1343 31 one one PRP 39713 1343 32 could could MD 39713 1343 33 alter alter VB 39713 1343 34 the the DT 39713 1343 35 masses masse NNS 39713 1343 36 by by IN 39713 1343 37 small small JJ 39713 1343 38 quantities quantity NNS 39713 1343 39 without without IN 39713 1343 40 the the DT 39713 1343 41 _ _ NNP 39713 1343 42 complete complete JJ 39713 1343 43 _ _ NNP 39713 1343 44 equations equation NNS 39713 1343 45 gaining gain VBG 39713 1343 46 or or CC 39713 1343 47 losing lose VBG 39713 1343 48 in in IN 39713 1343 49 simplicity simplicity NN 39713 1343 50 . . . 39713 1344 1 Hertz Hertz NNP 39713 1344 2 has have VBZ 39713 1344 3 raised raise VBN 39713 1344 4 the the DT 39713 1344 5 question question NN 39713 1344 6 whether whether IN 39713 1344 7 the the DT 39713 1344 8 principles principle NNS 39713 1344 9 of of IN 39713 1344 10 mechanics mechanic NNS 39713 1344 11 are be VBP 39713 1344 12 rigorously rigorously RB 39713 1344 13 true true JJ 39713 1344 14 . . . 39713 1345 1 " " `` 39713 1345 2 In in IN 39713 1345 3 the the DT 39713 1345 4 opinion opinion NN 39713 1345 5 of of IN 39713 1345 6 many many JJ 39713 1345 7 physicists physicist NNS 39713 1345 8 , , , 39713 1345 9 " " '' 39713 1345 10 he -PRON- PRP 39713 1345 11 says say VBZ 39713 1345 12 , , , 39713 1345 13 " " `` 39713 1345 14 it -PRON- PRP 39713 1345 15 is be VBZ 39713 1345 16 inconceivable inconceivable JJ 39713 1345 17 that that IN 39713 1345 18 the the DT 39713 1345 19 remotest remotest NN 39713 1345 20 experience experience NN 39713 1345 21 should should MD 39713 1345 22 ever ever RB 39713 1345 23 change change VB 39713 1345 24 anything anything NN 39713 1345 25 in in IN 39713 1345 26 the the DT 39713 1345 27 immovable immovable JJ 39713 1345 28 principles principle NNS 39713 1345 29 of of IN 39713 1345 30 mechanics mechanic NNS 39713 1345 31 ; ; : 39713 1345 32 and and CC 39713 1345 33 yet yet RB 39713 1345 34 , , , 39713 1345 35 what what WP 39713 1345 36 comes come VBZ 39713 1345 37 from from IN 39713 1345 38 experience experience NN 39713 1345 39 may may MD 39713 1345 40 always always RB 39713 1345 41 be be VB 39713 1345 42 rectified rectify VBN 39713 1345 43 by by IN 39713 1345 44 experience experience NN 39713 1345 45 . . . 39713 1345 46 " " '' 39713 1346 1 After after IN 39713 1346 2 what what WP 39713 1346 3 we -PRON- PRP 39713 1346 4 have have VBP 39713 1346 5 just just RB 39713 1346 6 said say VBN 39713 1346 7 , , , 39713 1346 8 these these DT 39713 1346 9 fears fear NNS 39713 1346 10 will will MD 39713 1346 11 appear appear VB 39713 1346 12 groundless groundless NN 39713 1346 13 . . . 39713 1347 1 The the DT 39713 1347 2 principles principle NNS 39713 1347 3 of of IN 39713 1347 4 dynamics dynamic NNS 39713 1347 5 at at IN 39713 1347 6 first first RB 39713 1347 7 appeared appear VBD 39713 1347 8 to to IN 39713 1347 9 us -PRON- PRP 39713 1347 10 as as IN 39713 1347 11 experimental experimental JJ 39713 1347 12 truths truth NNS 39713 1347 13 ; ; : 39713 1347 14 but but CC 39713 1347 15 we -PRON- PRP 39713 1347 16 have have VBP 39713 1347 17 been be VBN 39713 1347 18 obliged oblige VBN 39713 1347 19 to to TO 39713 1347 20 use use VB 39713 1347 21 them -PRON- PRP 39713 1347 22 as as IN 39713 1347 23 definitions definition NNS 39713 1347 24 . . . 39713 1348 1 It -PRON- PRP 39713 1348 2 is be VBZ 39713 1348 3 _ _ NNP 39713 1348 4 by by IN 39713 1348 5 definition definition NN 39713 1348 6 _ _ NNP 39713 1348 7 that that DT 39713 1348 8 force force NN 39713 1348 9 is be VBZ 39713 1348 10 equal equal JJ 39713 1348 11 to to IN 39713 1348 12 the the DT 39713 1348 13 product product NN 39713 1348 14 of of IN 39713 1348 15 mass mass NN 39713 1348 16 by by IN 39713 1348 17 acceleration acceleration NN 39713 1348 18 ; ; : 39713 1348 19 here here RB 39713 1348 20 , , , 39713 1348 21 then then RB 39713 1348 22 , , , 39713 1348 23 is be VBZ 39713 1348 24 a a DT 39713 1348 25 principle principle NN 39713 1348 26 which which WDT 39713 1348 27 is be VBZ 39713 1348 28 henceforth henceforth RB 39713 1348 29 beyond beyond IN 39713 1348 30 the the DT 39713 1348 31 reach reach NN 39713 1348 32 of of IN 39713 1348 33 any any DT 39713 1348 34 further further JJ 39713 1348 35 experiment experiment NN 39713 1348 36 . . . 39713 1349 1 It -PRON- PRP 39713 1349 2 is be VBZ 39713 1349 3 in in IN 39713 1349 4 the the DT 39713 1349 5 same same JJ 39713 1349 6 way way NN 39713 1349 7 by by IN 39713 1349 8 definition definition NN 39713 1349 9 that that IN 39713 1349 10 action action NN 39713 1349 11 is be VBZ 39713 1349 12 equal equal JJ 39713 1349 13 to to IN 39713 1349 14 reaction reaction NN 39713 1349 15 . . . 39713 1350 1 But but CC 39713 1350 2 then then RB 39713 1350 3 , , , 39713 1350 4 it -PRON- PRP 39713 1350 5 will will MD 39713 1350 6 be be VB 39713 1350 7 said say VBN 39713 1350 8 , , , 39713 1350 9 these these DT 39713 1350 10 unverifiable unverifiable JJ 39713 1350 11 principles principle NNS 39713 1350 12 are be VBP 39713 1350 13 absolutely absolutely RB 39713 1350 14 devoid devoid JJ 39713 1350 15 of of IN 39713 1350 16 any any DT 39713 1350 17 significance significance NN 39713 1350 18 ; ; : 39713 1350 19 experiment experiment NN 39713 1350 20 can can MD 39713 1350 21 not not RB 39713 1350 22 contradict contradict VB 39713 1350 23 them -PRON- PRP 39713 1350 24 ; ; : 39713 1350 25 but but CC 39713 1350 26 they -PRON- PRP 39713 1350 27 can can MD 39713 1350 28 teach teach VB 39713 1350 29 us -PRON- PRP 39713 1350 30 nothing nothing NN 39713 1350 31 useful useful JJ 39713 1350 32 ; ; : 39713 1350 33 then then RB 39713 1350 34 what what WP 39713 1350 35 is be VBZ 39713 1350 36 the the DT 39713 1350 37 use use NN 39713 1350 38 of of IN 39713 1350 39 studying study VBG 39713 1350 40 dynamics dynamic NNS 39713 1350 41 ? ? . 39713 1351 1 This this DT 39713 1351 2 over over IN 39713 1351 3 - - HYPH 39713 1351 4 hasty hasty JJ 39713 1351 5 condemnation condemnation NN 39713 1351 6 would would MD 39713 1351 7 be be VB 39713 1351 8 unjust unjust JJ 39713 1351 9 . . . 39713 1352 1 There there EX 39713 1352 2 is be VBZ 39713 1352 3 not not RB 39713 1352 4 in in IN 39713 1352 5 nature nature NN 39713 1352 6 any any DT 39713 1352 7 system system NN 39713 1352 8 _ _ NNP 39713 1352 9 perfectly perfectly RB 39713 1352 10 _ _ NNP 39713 1352 11 isolated isolate VBD 39713 1352 12 , , , 39713 1352 13 perfectly perfectly RB 39713 1352 14 removed remove VBN 39713 1352 15 from from IN 39713 1352 16 all all DT 39713 1352 17 external external JJ 39713 1352 18 action action NN 39713 1352 19 ; ; : 39713 1352 20 but but CC 39713 1352 21 there there EX 39713 1352 22 are be VBP 39713 1352 23 systems system NNS 39713 1352 24 _ _ NNP 39713 1352 25 almost almost RB 39713 1352 26 _ _ NNP 39713 1352 27 isolated isolate VBD 39713 1352 28 . . . 39713 1353 1 If if IN 39713 1353 2 such such PDT 39713 1353 3 a a DT 39713 1353 4 system system NN 39713 1353 5 be be VB 39713 1353 6 observed observe VBN 39713 1353 7 , , , 39713 1353 8 one one PRP 39713 1353 9 may may MD 39713 1353 10 study study VB 39713 1353 11 not not RB 39713 1353 12 only only RB 39713 1353 13 the the DT 39713 1353 14 relative relative JJ 39713 1353 15 motion motion NN 39713 1353 16 of of IN 39713 1353 17 its -PRON- PRP$ 39713 1353 18 various various JJ 39713 1353 19 parts part NNS 39713 1353 20 one one CD 39713 1353 21 in in IN 39713 1353 22 reference reference NN 39713 1353 23 to to IN 39713 1353 24 another another DT 39713 1353 25 , , , 39713 1353 26 but but CC 39713 1353 27 also also RB 39713 1353 28 the the DT 39713 1353 29 motion motion NN 39713 1353 30 of of IN 39713 1353 31 its -PRON- PRP$ 39713 1353 32 center center NN 39713 1353 33 of of IN 39713 1353 34 gravity gravity NN 39713 1353 35 in in IN 39713 1353 36 reference reference NN 39713 1353 37 to to IN 39713 1353 38 the the DT 39713 1353 39 other other JJ 39713 1353 40 parts part NNS 39713 1353 41 of of IN 39713 1353 42 the the DT 39713 1353 43 universe universe NN 39713 1353 44 . . . 39713 1354 1 We -PRON- PRP 39713 1354 2 ascertain ascertain VBP 39713 1354 3 then then RB 39713 1354 4 that that IN 39713 1354 5 the the DT 39713 1354 6 motion motion NN 39713 1354 7 of of IN 39713 1354 8 this this DT 39713 1354 9 center center NN 39713 1354 10 of of IN 39713 1354 11 gravity gravity NN 39713 1354 12 is be VBZ 39713 1354 13 _ _ NNP 39713 1354 14 almost almost RB 39713 1354 15 _ _ NNP 39713 1354 16 rectilinear rectilinear NN 39713 1354 17 and and CC 39713 1354 18 uniform uniform NN 39713 1354 19 , , , 39713 1354 20 in in IN 39713 1354 21 conformity conformity NN 39713 1354 22 with with IN 39713 1354 23 Newton Newton NNP 39713 1354 24 's 's POS 39713 1354 25 third third JJ 39713 1354 26 law law NN 39713 1354 27 . . . 39713 1355 1 That that DT 39713 1355 2 is be VBZ 39713 1355 3 an an DT 39713 1355 4 experimental experimental JJ 39713 1355 5 truth truth NN 39713 1355 6 , , , 39713 1355 7 but but CC 39713 1355 8 it -PRON- PRP 39713 1355 9 can can MD 39713 1355 10 not not RB 39713 1355 11 be be VB 39713 1355 12 invalidated invalidate VBN 39713 1355 13 by by IN 39713 1355 14 experience experience NN 39713 1355 15 ; ; : 39713 1355 16 in in IN 39713 1355 17 fact fact NN 39713 1355 18 , , , 39713 1355 19 what what WP 39713 1355 20 would would MD 39713 1355 21 a a DT 39713 1355 22 more more RBR 39713 1355 23 precise precise JJ 39713 1355 24 experiment experiment NN 39713 1355 25 teach teach VB 39713 1355 26 us -PRON- PRP 39713 1355 27 ? ? . 39713 1356 1 It -PRON- PRP 39713 1356 2 would would MD 39713 1356 3 teach teach VB 39713 1356 4 us -PRON- PRP 39713 1356 5 that that IN 39713 1356 6 the the DT 39713 1356 7 law law NN 39713 1356 8 was be VBD 39713 1356 9 only only RB 39713 1356 10 almost almost RB 39713 1356 11 true true JJ 39713 1356 12 ; ; : 39713 1356 13 but but CC 39713 1356 14 that that IN 39713 1356 15 we -PRON- PRP 39713 1356 16 knew know VBD 39713 1356 17 already already RB 39713 1356 18 . . . 39713 1357 1 _ _ NNP 39713 1357 2 We -PRON- PRP 39713 1357 3 can can MD 39713 1357 4 now now RB 39713 1357 5 understand understand VB 39713 1357 6 how how WRB 39713 1357 7 experience experience NN 39713 1357 8 has have VBZ 39713 1357 9 been be VBN 39713 1357 10 able able JJ 39713 1357 11 to to TO 39713 1357 12 serve serve VB 39713 1357 13 as as IN 39713 1357 14 basis basis NN 39713 1357 15 for for IN 39713 1357 16 the the DT 39713 1357 17 principles principle NNS 39713 1357 18 of of IN 39713 1357 19 mechanics mechanic NNS 39713 1357 20 and and CC 39713 1357 21 yet yet RB 39713 1357 22 will will MD 39713 1357 23 never never RB 39713 1357 24 be be VB 39713 1357 25 able able JJ 39713 1357 26 to to TO 39713 1357 27 contradict contradict VB 39713 1357 28 them -PRON- PRP 39713 1357 29 . . . 39713 1357 30 _ _ NNP 39713 1357 31 ANTHROPOMORPHIC ANTHROPOMORPHIC NNP 39713 1357 32 MECHANICS.--"Kirchhoff mechanics.--"kirchhoff CD 39713 1357 33 , , , 39713 1357 34 " " `` 39713 1357 35 it -PRON- PRP 39713 1357 36 will will MD 39713 1357 37 be be VB 39713 1357 38 said say VBN 39713 1357 39 , , , 39713 1357 40 " " `` 39713 1357 41 has have VBZ 39713 1357 42 only only RB 39713 1357 43 acted act VBN 39713 1357 44 in in IN 39713 1357 45 obedience obedience NN 39713 1357 46 to to IN 39713 1357 47 the the DT 39713 1357 48 general general JJ 39713 1357 49 tendency tendency NN 39713 1357 50 of of IN 39713 1357 51 mathematicians mathematician NNS 39713 1357 52 toward toward IN 39713 1357 53 nominalism nominalism NN 39713 1357 54 ; ; : 39713 1357 55 from from IN 39713 1357 56 this this DT 39713 1357 57 his -PRON- PRP$ 39713 1357 58 ability ability NN 39713 1357 59 as as IN 39713 1357 60 a a DT 39713 1357 61 physicist physicist NN 39713 1357 62 has have VBZ 39713 1357 63 not not RB 39713 1357 64 saved save VBN 39713 1357 65 him -PRON- PRP 39713 1357 66 . . . 39713 1358 1 He -PRON- PRP 39713 1358 2 wanted want VBD 39713 1358 3 a a DT 39713 1358 4 definition definition NN 39713 1358 5 of of IN 39713 1358 6 force force NN 39713 1358 7 , , , 39713 1358 8 and and CC 39713 1358 9 he -PRON- PRP 39713 1358 10 took take VBD 39713 1358 11 for for IN 39713 1358 12 it -PRON- PRP 39713 1358 13 the the DT 39713 1358 14 first first JJ 39713 1358 15 proposition proposition NN 39713 1358 16 that that WDT 39713 1358 17 presented present VBD 39713 1358 18 itself -PRON- PRP 39713 1358 19 ; ; : 39713 1358 20 but but CC 39713 1358 21 we -PRON- PRP 39713 1358 22 need need VBP 39713 1358 23 no no DT 39713 1358 24 definition definition NN 39713 1358 25 of of IN 39713 1358 26 force force NN 39713 1358 27 : : : 39713 1358 28 the the DT 39713 1358 29 idea idea NN 39713 1358 30 of of IN 39713 1358 31 force force NN 39713 1358 32 is be VBZ 39713 1358 33 primitive primitive JJ 39713 1358 34 , , , 39713 1358 35 irreducible irreducible JJ 39713 1358 36 , , , 39713 1358 37 indefinable indefinable JJ 39713 1358 38 ; ; : 39713 1358 39 we -PRON- PRP 39713 1358 40 all all DT 39713 1358 41 know know VBP 39713 1358 42 what what WP 39713 1358 43 it -PRON- PRP 39713 1358 44 is be VBZ 39713 1358 45 , , , 39713 1358 46 we -PRON- PRP 39713 1358 47 have have VBP 39713 1358 48 a a DT 39713 1358 49 direct direct JJ 39713 1358 50 intuition intuition NN 39713 1358 51 of of IN 39713 1358 52 it -PRON- PRP 39713 1358 53 . . . 39713 1359 1 This this DT 39713 1359 2 direct direct JJ 39713 1359 3 intuition intuition NN 39713 1359 4 comes come VBZ 39713 1359 5 from from IN 39713 1359 6 the the DT 39713 1359 7 notion notion NN 39713 1359 8 of of IN 39713 1359 9 effort effort NN 39713 1359 10 , , , 39713 1359 11 which which WDT 39713 1359 12 is be VBZ 39713 1359 13 familiar familiar JJ 39713 1359 14 to to IN 39713 1359 15 us -PRON- PRP 39713 1359 16 from from IN 39713 1359 17 infancy infancy NN 39713 1359 18 . . . 39713 1359 19 " " '' 39713 1360 1 But but CC 39713 1360 2 first first RB 39713 1360 3 , , , 39713 1360 4 even even RB 39713 1360 5 though though IN 39713 1360 6 this this DT 39713 1360 7 direct direct JJ 39713 1360 8 intuition intuition NN 39713 1360 9 made make VBD 39713 1360 10 known known JJ 39713 1360 11 to to IN 39713 1360 12 us -PRON- PRP 39713 1360 13 the the DT 39713 1360 14 real real JJ 39713 1360 15 nature nature NN 39713 1360 16 of of IN 39713 1360 17 force force NN 39713 1360 18 in in IN 39713 1360 19 itself -PRON- PRP 39713 1360 20 , , , 39713 1360 21 it -PRON- PRP 39713 1360 22 would would MD 39713 1360 23 be be VB 39713 1360 24 insufficient insufficient JJ 39713 1360 25 as as IN 39713 1360 26 a a DT 39713 1360 27 foundation foundation NN 39713 1360 28 for for IN 39713 1360 29 mechanics mechanic NNS 39713 1360 30 ; ; : 39713 1360 31 it -PRON- PRP 39713 1360 32 would would MD 39713 1360 33 besides besides RB 39713 1360 34 be be VB 39713 1360 35 wholly wholly RB 39713 1360 36 useless useless JJ 39713 1360 37 . . . 39713 1361 1 What what WP 39713 1361 2 is be VBZ 39713 1361 3 of of IN 39713 1361 4 importance importance NN 39713 1361 5 is be VBZ 39713 1361 6 not not RB 39713 1361 7 to to TO 39713 1361 8 know know VB 39713 1361 9 what what WP 39713 1361 10 force force NN 39713 1361 11 is be VBZ 39713 1361 12 , , , 39713 1361 13 but but CC 39713 1361 14 to to TO 39713 1361 15 know know VB 39713 1361 16 how how WRB 39713 1361 17 to to TO 39713 1361 18 measure measure VB 39713 1361 19 it -PRON- PRP 39713 1361 20 . . . 39713 1362 1 Whatever whatever WDT 39713 1362 2 does do VBZ 39713 1362 3 not not RB 39713 1362 4 teach teach VB 39713 1362 5 us -PRON- PRP 39713 1362 6 to to TO 39713 1362 7 measure measure VB 39713 1362 8 it -PRON- PRP 39713 1362 9 is be VBZ 39713 1362 10 as as RB 39713 1362 11 useless useless JJ 39713 1362 12 to to IN 39713 1362 13 mechanics mechanic NNS 39713 1362 14 as as IN 39713 1362 15 is be VBZ 39713 1362 16 , , , 39713 1362 17 for for IN 39713 1362 18 instance instance NN 39713 1362 19 , , , 39713 1362 20 the the DT 39713 1362 21 subjective subjective JJ 39713 1362 22 notion notion NN 39713 1362 23 of of IN 39713 1362 24 warmth warmth NN 39713 1362 25 and and CC 39713 1362 26 cold cold JJ 39713 1362 27 to to IN 39713 1362 28 the the DT 39713 1362 29 physicist physicist NN 39713 1362 30 who who WP 39713 1362 31 is be VBZ 39713 1362 32 studying study VBG 39713 1362 33 heat heat NN 39713 1362 34 . . . 39713 1363 1 This this DT 39713 1363 2 subjective subjective JJ 39713 1363 3 notion notion NN 39713 1363 4 can can MD 39713 1363 5 not not RB 39713 1363 6 be be VB 39713 1363 7 translated translate VBN 39713 1363 8 into into IN 39713 1363 9 numbers number NNS 39713 1363 10 , , , 39713 1363 11 therefore therefore RB 39713 1363 12 it -PRON- PRP 39713 1363 13 is be VBZ 39713 1363 14 of of IN 39713 1363 15 no no DT 39713 1363 16 use use NN 39713 1363 17 ; ; : 39713 1363 18 a a DT 39713 1363 19 scientist scientist NN 39713 1363 20 whose whose WP$ 39713 1363 21 skin skin NN 39713 1363 22 was be VBD 39713 1363 23 an an DT 39713 1363 24 absolutely absolutely RB 39713 1363 25 bad bad JJ 39713 1363 26 conductor conductor NN 39713 1363 27 of of IN 39713 1363 28 heat heat NN 39713 1363 29 and and CC 39713 1363 30 who who WP 39713 1363 31 , , , 39713 1363 32 consequently consequently RB 39713 1363 33 , , , 39713 1363 34 would would MD 39713 1363 35 never never RB 39713 1363 36 have have VB 39713 1363 37 felt feel VBN 39713 1363 38 either either DT 39713 1363 39 sensations sensation NNS 39713 1363 40 of of IN 39713 1363 41 cold cold JJ 39713 1363 42 or or CC 39713 1363 43 sensations sensation NNS 39713 1363 44 of of IN 39713 1363 45 warmth warmth NN 39713 1363 46 , , , 39713 1363 47 could could MD 39713 1363 48 read read VB 39713 1363 49 a a DT 39713 1363 50 thermometer thermometer NN 39713 1363 51 just just RB 39713 1363 52 as as RB 39713 1363 53 well well RB 39713 1363 54 as as IN 39713 1363 55 any any DT 39713 1363 56 one one CD 39713 1363 57 else else RB 39713 1363 58 , , , 39713 1363 59 and and CC 39713 1363 60 that that DT 39713 1363 61 would would MD 39713 1363 62 suffice suffice VB 39713 1363 63 him -PRON- PRP 39713 1363 64 for for IN 39713 1363 65 constructing construct VBG 39713 1363 66 the the DT 39713 1363 67 whole whole JJ 39713 1363 68 theory theory NN 39713 1363 69 of of IN 39713 1363 70 heat heat NN 39713 1363 71 . . . 39713 1364 1 Now now RB 39713 1364 2 this this DT 39713 1364 3 immediate immediate JJ 39713 1364 4 notion notion NN 39713 1364 5 of of IN 39713 1364 6 effort effort NN 39713 1364 7 is be VBZ 39713 1364 8 of of IN 39713 1364 9 no no DT 39713 1364 10 use use NN 39713 1364 11 to to IN 39713 1364 12 us -PRON- PRP 39713 1364 13 for for IN 39713 1364 14 measuring measure VBG 39713 1364 15 force force NN 39713 1364 16 ; ; : 39713 1364 17 it -PRON- PRP 39713 1364 18 is be VBZ 39713 1364 19 clear clear JJ 39713 1364 20 , , , 39713 1364 21 for for IN 39713 1364 22 instance instance NN 39713 1364 23 , , , 39713 1364 24 that that IN 39713 1364 25 I -PRON- PRP 39713 1364 26 should should MD 39713 1364 27 feel feel VB 39713 1364 28 more more JJR 39713 1364 29 fatigue fatigue NN 39713 1364 30 in in IN 39713 1364 31 lifting lift VBG 39713 1364 32 a a DT 39713 1364 33 weight weight NN 39713 1364 34 of of IN 39713 1364 35 fifty fifty CD 39713 1364 36 kilos kilo NNS 39713 1364 37 than than IN 39713 1364 38 a a DT 39713 1364 39 man man NN 39713 1364 40 accustomed accustom VBN 39713 1364 41 to to TO 39713 1364 42 carry carry VB 39713 1364 43 burdens burden NNS 39713 1364 44 . . . 39713 1365 1 But but CC 39713 1365 2 more more JJR 39713 1365 3 than than IN 39713 1365 4 that that DT 39713 1365 5 : : : 39713 1365 6 this this DT 39713 1365 7 notion notion NN 39713 1365 8 of of IN 39713 1365 9 effort effort NN 39713 1365 10 does do VBZ 39713 1365 11 not not RB 39713 1365 12 teach teach VB 39713 1365 13 us -PRON- PRP 39713 1365 14 the the DT 39713 1365 15 real real JJ 39713 1365 16 nature nature NN 39713 1365 17 of of IN 39713 1365 18 force force NN 39713 1365 19 ; ; : 39713 1365 20 it -PRON- PRP 39713 1365 21 reduces reduce VBZ 39713 1365 22 itself -PRON- PRP 39713 1365 23 finally finally RB 39713 1365 24 to to IN 39713 1365 25 a a DT 39713 1365 26 remembrance remembrance NN 39713 1365 27 of of IN 39713 1365 28 muscular muscular JJ 39713 1365 29 sensations sensation NNS 39713 1365 30 , , , 39713 1365 31 and and CC 39713 1365 32 it -PRON- PRP 39713 1365 33 will will MD 39713 1365 34 hardly hardly RB 39713 1365 35 be be VB 39713 1365 36 maintained maintain VBN 39713 1365 37 that that IN 39713 1365 38 the the DT 39713 1365 39 sun sun NN 39713 1365 40 feels feel VBZ 39713 1365 41 a a DT 39713 1365 42 muscular muscular JJ 39713 1365 43 sensation sensation NN 39713 1365 44 when when WRB 39713 1365 45 it -PRON- PRP 39713 1365 46 draws draw VBZ 39713 1365 47 the the DT 39713 1365 48 earth earth NN 39713 1365 49 . . . 39713 1366 1 All all DT 39713 1366 2 that that WDT 39713 1366 3 can can MD 39713 1366 4 there there EX 39713 1366 5 be be VB 39713 1366 6 sought seek VBN 39713 1366 7 is be VBZ 39713 1366 8 a a DT 39713 1366 9 symbol symbol NN 39713 1366 10 , , , 39713 1366 11 less less RBR 39713 1366 12 precise precise JJ 39713 1366 13 and and CC 39713 1366 14 less less RBR 39713 1366 15 convenient convenient JJ 39713 1366 16 than than IN 39713 1366 17 the the DT 39713 1366 18 arrows arrow NNS 39713 1366 19 the the DT 39713 1366 20 geometers geometer NNS 39713 1366 21 use use VBP 39713 1366 22 , , , 39713 1366 23 but but CC 39713 1366 24 just just RB 39713 1366 25 as as RB 39713 1366 26 remote remote JJ 39713 1366 27 from from IN 39713 1366 28 the the DT 39713 1366 29 reality reality NN 39713 1366 30 . . . 39713 1367 1 Anthropomorphism anthropomorphism NN 39713 1367 2 has have VBZ 39713 1367 3 played play VBN 39713 1367 4 a a DT 39713 1367 5 considerable considerable JJ 39713 1367 6 historic historic JJ 39713 1367 7 rôle rôle NN 39713 1367 8 in in IN 39713 1367 9 the the DT 39713 1367 10 genesis genesis NN 39713 1367 11 of of IN 39713 1367 12 mechanics mechanic NNS 39713 1367 13 ; ; : 39713 1367 14 perhaps perhaps RB 39713 1367 15 it -PRON- PRP 39713 1367 16 will will MD 39713 1367 17 still still RB 39713 1367 18 at at IN 39713 1367 19 times time NNS 39713 1367 20 furnish furnish VB 39713 1367 21 a a DT 39713 1367 22 symbol symbol NN 39713 1367 23 which which WDT 39713 1367 24 will will MD 39713 1367 25 appear appear VB 39713 1367 26 convenient convenient JJ 39713 1367 27 to to IN 39713 1367 28 some some DT 39713 1367 29 minds mind NNS 39713 1367 30 ; ; : 39713 1367 31 but but CC 39713 1367 32 it -PRON- PRP 39713 1367 33 can can MD 39713 1367 34 not not RB 39713 1367 35 serve serve VB 39713 1367 36 as as IN 39713 1367 37 foundation foundation NN 39713 1367 38 for for IN 39713 1367 39 anything anything NN 39713 1367 40 of of IN 39713 1367 41 a a DT 39713 1367 42 truly truly RB 39713 1367 43 scientific scientific JJ 39713 1367 44 or or CC 39713 1367 45 philosophic philosophic JJ 39713 1367 46 character character NN 39713 1367 47 . . . 39713 1368 1 ' ' `` 39713 1368 2 THE the DT 39713 1368 3 SCHOOL SCHOOL NNP 39713 1368 4 OF of IN 39713 1368 5 THE the DT 39713 1368 6 THREAD.'--M. thread.'--m. XX 39713 1369 1 Andrade Andrade NNP 39713 1369 2 , , , 39713 1369 3 in in IN 39713 1369 4 his -PRON- PRP$ 39713 1369 5 _ _ NNP 39713 1369 6 Leçons Leçons NNP 39713 1369 7 de de NNP 39713 1369 8 mécanique mécanique NNP 39713 1369 9 physique physique NNP 39713 1369 10 _ _ NNP 39713 1369 11 , , , 39713 1369 12 has have VBZ 39713 1369 13 rejuvenated rejuvenate VBN 39713 1369 14 anthropomorphic anthropomorphic JJ 39713 1369 15 mechanics mechanic NNS 39713 1369 16 . . . 39713 1370 1 To to IN 39713 1370 2 the the DT 39713 1370 3 school school NN 39713 1370 4 of of IN 39713 1370 5 mechanics mechanic NNS 39713 1370 6 to to TO 39713 1370 7 which which WDT 39713 1370 8 Kirchhoff Kirchhoff NNP 39713 1370 9 belongs belong VBZ 39713 1370 10 , , , 39713 1370 11 he -PRON- PRP 39713 1370 12 opposes oppose VBZ 39713 1370 13 that that IN 39713 1370 14 which which WDT 39713 1370 15 he -PRON- PRP 39713 1370 16 bizarrely bizarrely RB 39713 1370 17 calls call VBZ 39713 1370 18 the the DT 39713 1370 19 school school NN 39713 1370 20 of of IN 39713 1370 21 the the DT 39713 1370 22 thread thread NN 39713 1370 23 . . . 39713 1371 1 This this DT 39713 1371 2 school school NN 39713 1371 3 tries try VBZ 39713 1371 4 to to TO 39713 1371 5 reduce reduce VB 39713 1371 6 everything everything NN 39713 1371 7 to to IN 39713 1371 8 " " `` 39713 1371 9 the the DT 39713 1371 10 consideration consideration NN 39713 1371 11 of of IN 39713 1371 12 certain certain JJ 39713 1371 13 material material NN 39713 1371 14 systems system NNS 39713 1371 15 of of IN 39713 1371 16 negligible negligible JJ 39713 1371 17 mass mass NN 39713 1371 18 , , , 39713 1371 19 envisaged envisage VBN 39713 1371 20 in in IN 39713 1371 21 the the DT 39713 1371 22 state state NN 39713 1371 23 of of IN 39713 1371 24 tension tension NN 39713 1371 25 and and CC 39713 1371 26 capable capable JJ 39713 1371 27 of of IN 39713 1371 28 transmitting transmit VBG 39713 1371 29 considerable considerable JJ 39713 1371 30 efforts effort NNS 39713 1371 31 to to TO 39713 1371 32 distant distant VB 39713 1371 33 bodies body NNS 39713 1371 34 , , , 39713 1371 35 systems system NNS 39713 1371 36 of of IN 39713 1371 37 which which WDT 39713 1371 38 the the DT 39713 1371 39 ideal ideal JJ 39713 1371 40 type type NN 39713 1371 41 is be VBZ 39713 1371 42 the the DT 39713 1371 43 _ _ NNP 39713 1371 44 thread thread NN 39713 1371 45 _ _ NNP 39713 1371 46 . . . 39713 1371 47 " " '' 39713 1372 1 A a DT 39713 1372 2 thread thread NN 39713 1372 3 which which WDT 39713 1372 4 transmits transmit VBZ 39713 1372 5 any any DT 39713 1372 6 force force NN 39713 1372 7 is be VBZ 39713 1372 8 slightly slightly RB 39713 1372 9 elongated elongate VBN 39713 1372 10 under under IN 39713 1372 11 the the DT 39713 1372 12 action action NN 39713 1372 13 of of IN 39713 1372 14 this this DT 39713 1372 15 force force NN 39713 1372 16 ; ; : 39713 1372 17 the the DT 39713 1372 18 direction direction NN 39713 1372 19 of of IN 39713 1372 20 the the DT 39713 1372 21 thread thread NN 39713 1372 22 tells tell VBZ 39713 1372 23 us -PRON- PRP 39713 1372 24 the the DT 39713 1372 25 direction direction NN 39713 1372 26 of of IN 39713 1372 27 the the DT 39713 1372 28 force force NN 39713 1372 29 , , , 39713 1372 30 whose whose WP$ 39713 1372 31 magnitude magnitude NN 39713 1372 32 is be VBZ 39713 1372 33 measured measure VBN 39713 1372 34 by by IN 39713 1372 35 the the DT 39713 1372 36 elongation elongation NN 39713 1372 37 of of IN 39713 1372 38 the the DT 39713 1372 39 thread thread NN 39713 1372 40 . . . 39713 1373 1 One one CD 39713 1373 2 may may MD 39713 1373 3 then then RB 39713 1373 4 conceive conceive VB 39713 1373 5 an an DT 39713 1373 6 experiment experiment NN 39713 1373 7 such such JJ 39713 1373 8 as as IN 39713 1373 9 this this DT 39713 1373 10 . . . 39713 1374 1 A a DT 39713 1374 2 body body NN 39713 1374 3 _ _ NNP 39713 1374 4 A A NNP 39713 1374 5 _ _ NNP 39713 1374 6 is be VBZ 39713 1374 7 attached attach VBN 39713 1374 8 to to IN 39713 1374 9 a a DT 39713 1374 10 thread thread NN 39713 1374 11 ; ; : 39713 1374 12 at at IN 39713 1374 13 the the DT 39713 1374 14 other other JJ 39713 1374 15 extremity extremity NN 39713 1374 16 of of IN 39713 1374 17 the the DT 39713 1374 18 thread thread NN 39713 1374 19 any any DT 39713 1374 20 force force NN 39713 1374 21 acts act NNS 39713 1374 22 which which WDT 39713 1374 23 varies vary VBZ 39713 1374 24 until until IN 39713 1374 25 the the DT 39713 1374 26 thread thread NN 39713 1374 27 takes take VBZ 39713 1374 28 an an DT 39713 1374 29 elongation elongation NN 39713 1374 30 [ [ -LRB- 39713 1374 31 alpha alpha NN 39713 1374 32 ] ] -RRB- 39713 1374 33 ; ; : 39713 1374 34 the the DT 39713 1374 35 acceleration acceleration NN 39713 1374 36 of of IN 39713 1374 37 the the DT 39713 1374 38 body body NN 39713 1374 39 _ _ NNP 39713 1374 40 A A NNP 39713 1374 41 _ _ NNP 39713 1374 42 is be VBZ 39713 1374 43 noted note VBN 39713 1374 44 ; ; : 39713 1374 45 _ _ NNP 39713 1374 46 A A NNP 39713 1374 47 _ _ NNP 39713 1374 48 is be VBZ 39713 1374 49 detached detach VBN 39713 1374 50 and and CC 39713 1374 51 the the DT 39713 1374 52 body body NN 39713 1374 53 _ _ NNP 39713 1374 54 B B NNP 39713 1374 55 _ _ NNP 39713 1374 56 attached attach VBD 39713 1374 57 to to IN 39713 1374 58 the the DT 39713 1374 59 same same JJ 39713 1374 60 thread thread NN 39713 1374 61 ; ; : 39713 1374 62 the the DT 39713 1374 63 same same JJ 39713 1374 64 force force NN 39713 1374 65 or or CC 39713 1374 66 another another DT 39713 1374 67 force force NN 39713 1374 68 acts act VBZ 39713 1374 69 anew anew RB 39713 1374 70 , , , 39713 1374 71 and and CC 39713 1374 72 is be VBZ 39713 1374 73 made make VBN 39713 1374 74 to to TO 39713 1374 75 vary vary VB 39713 1374 76 until until IN 39713 1374 77 the the DT 39713 1374 78 thread thread NN 39713 1374 79 takes take VBZ 39713 1374 80 again again RB 39713 1374 81 the the DT 39713 1374 82 elongation elongation NN 39713 1374 83 [ [ -LRB- 39713 1374 84 alpha alpha NN 39713 1374 85 ] ] -RRB- 39713 1374 86 ; ; : 39713 1374 87 the the DT 39713 1374 88 acceleration acceleration NN 39713 1374 89 of of IN 39713 1374 90 the the DT 39713 1374 91 body body NN 39713 1374 92 _ _ NNP 39713 1374 93 B B NNP 39713 1374 94 _ _ NNP 39713 1374 95 is be VBZ 39713 1374 96 noted note VBN 39713 1374 97 . . . 39713 1375 1 The the DT 39713 1375 2 experiment experiment NN 39713 1375 3 is be VBZ 39713 1375 4 then then RB 39713 1375 5 renewed renew VBN 39713 1375 6 with with IN 39713 1375 7 both both DT 39713 1375 8 _ _ NNP 39713 1375 9 A A NNP 39713 1375 10 _ _ NNP 39713 1375 11 and and CC 39713 1375 12 _ _ NNP 39713 1375 13 B B NNP 39713 1375 14 _ _ NNP 39713 1375 15 , , , 39713 1375 16 but but CC 39713 1375 17 so so IN 39713 1375 18 that that IN 39713 1375 19 the the DT 39713 1375 20 thread thread NN 39713 1375 21 takes take VBZ 39713 1375 22 the the DT 39713 1375 23 elongation elongation NN 39713 1375 24 [ [ -LRB- 39713 1375 25 beta beta NN 39713 1375 26 ] ] -RRB- 39713 1375 27 . . . 39713 1376 1 The the DT 39713 1376 2 four four CD 39713 1376 3 observed observed JJ 39713 1376 4 accelerations acceleration NNS 39713 1376 5 should should MD 39713 1376 6 be be VB 39713 1376 7 proportional proportional JJ 39713 1376 8 . . . 39713 1377 1 We -PRON- PRP 39713 1377 2 have have VBP 39713 1377 3 thus thus RB 39713 1377 4 an an DT 39713 1377 5 experimental experimental JJ 39713 1377 6 verification verification NN 39713 1377 7 of of IN 39713 1377 8 the the DT 39713 1377 9 law law NN 39713 1377 10 of of IN 39713 1377 11 acceleration acceleration NN 39713 1377 12 above above IN 39713 1377 13 enunciated enunciate VBD 39713 1377 14 . . . 39713 1378 1 Or or CC 39713 1378 2 still still RB 39713 1378 3 better well RBR 39713 1378 4 , , , 39713 1378 5 a a DT 39713 1378 6 body body NN 39713 1378 7 is be VBZ 39713 1378 8 submitted submit VBN 39713 1378 9 to to IN 39713 1378 10 the the DT 39713 1378 11 simultaneous simultaneous JJ 39713 1378 12 action action NN 39713 1378 13 of of IN 39713 1378 14 several several JJ 39713 1378 15 identical identical JJ 39713 1378 16 threads thread NNS 39713 1378 17 in in IN 39713 1378 18 equal equal JJ 39713 1378 19 tension tension NN 39713 1378 20 , , , 39713 1378 21 and and CC 39713 1378 22 by by IN 39713 1378 23 experiment experiment NN 39713 1378 24 it -PRON- PRP 39713 1378 25 is be VBZ 39713 1378 26 sought seek VBN 39713 1378 27 what what WP 39713 1378 28 must must MD 39713 1378 29 be be VB 39713 1378 30 the the DT 39713 1378 31 orientations orientation NNS 39713 1378 32 of of IN 39713 1378 33 all all PDT 39713 1378 34 these these DT 39713 1378 35 threads thread NNS 39713 1378 36 that that IN 39713 1378 37 the the DT 39713 1378 38 body body NN 39713 1378 39 may may MD 39713 1378 40 remain remain VB 39713 1378 41 in in IN 39713 1378 42 equilibrium equilibrium NN 39713 1378 43 . . . 39713 1379 1 We -PRON- PRP 39713 1379 2 have have VBP 39713 1379 3 then then RB 39713 1379 4 an an DT 39713 1379 5 experimental experimental JJ 39713 1379 6 verification verification NN 39713 1379 7 of of IN 39713 1379 8 the the DT 39713 1379 9 law law NN 39713 1379 10 of of IN 39713 1379 11 the the DT 39713 1379 12 composition composition NN 39713 1379 13 of of IN 39713 1379 14 forces force NNS 39713 1379 15 . . . 39713 1380 1 But but CC 39713 1380 2 , , , 39713 1380 3 after after RB 39713 1380 4 all all RB 39713 1380 5 , , , 39713 1380 6 what what WP 39713 1380 7 have have VBP 39713 1380 8 we -PRON- PRP 39713 1380 9 done do VBN 39713 1380 10 ? ? . 39713 1381 1 We -PRON- PRP 39713 1381 2 have have VBP 39713 1381 3 defined define VBN 39713 1381 4 the the DT 39713 1381 5 force force NN 39713 1381 6 to to TO 39713 1381 7 which which WDT 39713 1381 8 the the DT 39713 1381 9 thread thread NN 39713 1381 10 is be VBZ 39713 1381 11 subjected subject VBN 39713 1381 12 by by IN 39713 1381 13 the the DT 39713 1381 14 deformation deformation NN 39713 1381 15 undergone undergo VBN 39713 1381 16 by by IN 39713 1381 17 this this DT 39713 1381 18 thread thread NN 39713 1381 19 , , , 39713 1381 20 which which WDT 39713 1381 21 is be VBZ 39713 1381 22 reasonable reasonable JJ 39713 1381 23 enough enough RB 39713 1381 24 ; ; : 39713 1381 25 we -PRON- PRP 39713 1381 26 have have VBP 39713 1381 27 further further RB 39713 1381 28 assumed assume VBN 39713 1381 29 that that IN 39713 1381 30 if if IN 39713 1381 31 a a DT 39713 1381 32 body body NN 39713 1381 33 is be VBZ 39713 1381 34 attached attach VBN 39713 1381 35 to to IN 39713 1381 36 this this DT 39713 1381 37 thread thread NN 39713 1381 38 , , , 39713 1381 39 the the DT 39713 1381 40 effort effort NN 39713 1381 41 transmitted transmit VBN 39713 1381 42 to to IN 39713 1381 43 it -PRON- PRP 39713 1381 44 by by IN 39713 1381 45 the the DT 39713 1381 46 thread thread NN 39713 1381 47 is be VBZ 39713 1381 48 equal equal JJ 39713 1381 49 to to IN 39713 1381 50 the the DT 39713 1381 51 action action NN 39713 1381 52 this this DT 39713 1381 53 body body NN 39713 1381 54 exercises exercise VBZ 39713 1381 55 on on IN 39713 1381 56 this this DT 39713 1381 57 thread thread NN 39713 1381 58 ; ; : 39713 1381 59 after after RB 39713 1381 60 all all RB 39713 1381 61 , , , 39713 1381 62 we -PRON- PRP 39713 1381 63 have have VBP 39713 1381 64 therefore therefore RB 39713 1381 65 used use VBN 39713 1381 66 the the DT 39713 1381 67 principle principle NN 39713 1381 68 of of IN 39713 1381 69 the the DT 39713 1381 70 equality equality NN 39713 1381 71 of of IN 39713 1381 72 action action NN 39713 1381 73 and and CC 39713 1381 74 reaction reaction NN 39713 1381 75 , , , 39713 1381 76 in in IN 39713 1381 77 considering consider VBG 39713 1381 78 it -PRON- PRP 39713 1381 79 , , , 39713 1381 80 not not RB 39713 1381 81 as as IN 39713 1381 82 an an DT 39713 1381 83 experimental experimental JJ 39713 1381 84 truth truth NN 39713 1381 85 , , , 39713 1381 86 but but CC 39713 1381 87 as as IN 39713 1381 88 the the DT 39713 1381 89 very very JJ 39713 1381 90 definition definition NN 39713 1381 91 of of IN 39713 1381 92 force force NN 39713 1381 93 . . . 39713 1382 1 This this DT 39713 1382 2 definition definition NN 39713 1382 3 is be VBZ 39713 1382 4 just just RB 39713 1382 5 as as RB 39713 1382 6 conventional conventional JJ 39713 1382 7 as as IN 39713 1382 8 Kirchhoff Kirchhoff NNP 39713 1382 9 's 's POS 39713 1382 10 , , , 39713 1382 11 but but CC 39713 1382 12 far far RB 39713 1382 13 less less RBR 39713 1382 14 general general JJ 39713 1382 15 . . . 39713 1383 1 All all DT 39713 1383 2 forces force NNS 39713 1383 3 are be VBP 39713 1383 4 not not RB 39713 1383 5 transmitted transmit VBN 39713 1383 6 by by IN 39713 1383 7 threads thread NNS 39713 1383 8 ( ( -LRB- 39713 1383 9 besides besides RB 39713 1383 10 , , , 39713 1383 11 to to TO 39713 1383 12 be be VB 39713 1383 13 able able JJ 39713 1383 14 to to TO 39713 1383 15 compare compare VB 39713 1383 16 them -PRON- PRP 39713 1383 17 , , , 39713 1383 18 they -PRON- PRP 39713 1383 19 would would MD 39713 1383 20 all all RB 39713 1383 21 have have VB 39713 1383 22 to to TO 39713 1383 23 be be VB 39713 1383 24 transmitted transmit VBN 39713 1383 25 by by IN 39713 1383 26 identical identical JJ 39713 1383 27 threads thread NNS 39713 1383 28 ) ) -RRB- 39713 1383 29 . . . 39713 1384 1 Even even RB 39713 1384 2 if if IN 39713 1384 3 it -PRON- PRP 39713 1384 4 should should MD 39713 1384 5 be be VB 39713 1384 6 conceded concede VBN 39713 1384 7 that that IN 39713 1384 8 the the DT 39713 1384 9 earth earth NN 39713 1384 10 is be VBZ 39713 1384 11 attached attach VBN 39713 1384 12 to to IN 39713 1384 13 the the DT 39713 1384 14 sun sun NN 39713 1384 15 by by IN 39713 1384 16 some some DT 39713 1384 17 invisible invisible JJ 39713 1384 18 thread thread NN 39713 1384 19 , , , 39713 1384 20 at at IN 39713 1384 21 least least JJS 39713 1384 22 it -PRON- PRP 39713 1384 23 would would MD 39713 1384 24 be be VB 39713 1384 25 admitted admit VBN 39713 1384 26 that that IN 39713 1384 27 we -PRON- PRP 39713 1384 28 have have VBP 39713 1384 29 no no DT 39713 1384 30 means means NN 39713 1384 31 of of IN 39713 1384 32 measuring measure VBG 39713 1384 33 its -PRON- PRP$ 39713 1384 34 elongation elongation NN 39713 1384 35 . . . 39713 1385 1 Nine nine CD 39713 1385 2 times time NNS 39713 1385 3 out out IN 39713 1385 4 of of IN 39713 1385 5 ten ten CD 39713 1385 6 , , , 39713 1385 7 consequently consequently RB 39713 1385 8 , , , 39713 1385 9 our -PRON- PRP$ 39713 1385 10 definition definition NN 39713 1385 11 would would MD 39713 1385 12 be be VB 39713 1385 13 at at IN 39713 1385 14 fault fault NN 39713 1385 15 ; ; : 39713 1385 16 no no DT 39713 1385 17 sort sort NN 39713 1385 18 of of IN 39713 1385 19 sense sense NN 39713 1385 20 could could MD 39713 1385 21 be be VB 39713 1385 22 attributed attribute VBN 39713 1385 23 to to IN 39713 1385 24 it -PRON- PRP 39713 1385 25 , , , 39713 1385 26 and and CC 39713 1385 27 it -PRON- PRP 39713 1385 28 would would MD 39713 1385 29 be be VB 39713 1385 30 necessary necessary JJ 39713 1385 31 to to TO 39713 1385 32 fall fall VB 39713 1385 33 back back RB 39713 1385 34 on on IN 39713 1385 35 Kirchhoff Kirchhoff NNP 39713 1385 36 's 's POS 39713 1385 37 . . . 39713 1386 1 Why why WRB 39713 1386 2 then then RB 39713 1386 3 take take VB 39713 1386 4 this this DT 39713 1386 5 détour détour NN 39713 1386 6 ? ? . 39713 1387 1 You -PRON- PRP 39713 1387 2 admit admit VBP 39713 1387 3 a a DT 39713 1387 4 certain certain JJ 39713 1387 5 definition definition NN 39713 1387 6 of of IN 39713 1387 7 force force NN 39713 1387 8 which which WDT 39713 1387 9 has have VBZ 39713 1387 10 a a DT 39713 1387 11 meaning meaning NN 39713 1387 12 only only RB 39713 1387 13 in in IN 39713 1387 14 certain certain JJ 39713 1387 15 particular particular JJ 39713 1387 16 cases case NNS 39713 1387 17 . . . 39713 1388 1 In in IN 39713 1388 2 these these DT 39713 1388 3 cases case NNS 39713 1388 4 you -PRON- PRP 39713 1388 5 verify verify VBP 39713 1388 6 by by IN 39713 1388 7 experiment experiment NN 39713 1388 8 that that IN 39713 1388 9 it -PRON- PRP 39713 1388 10 leads lead VBZ 39713 1388 11 to to IN 39713 1388 12 the the DT 39713 1388 13 law law NN 39713 1388 14 of of IN 39713 1388 15 acceleration acceleration NN 39713 1388 16 . . . 39713 1389 1 On on IN 39713 1389 2 the the DT 39713 1389 3 strength strength NN 39713 1389 4 of of IN 39713 1389 5 this this DT 39713 1389 6 experiment experiment NN 39713 1389 7 , , , 39713 1389 8 you -PRON- PRP 39713 1389 9 then then RB 39713 1389 10 take take VBP 39713 1389 11 the the DT 39713 1389 12 law law NN 39713 1389 13 of of IN 39713 1389 14 acceleration acceleration NN 39713 1389 15 as as IN 39713 1389 16 a a DT 39713 1389 17 definition definition NN 39713 1389 18 of of IN 39713 1389 19 force force NN 39713 1389 20 in in IN 39713 1389 21 all all PDT 39713 1389 22 the the DT 39713 1389 23 other other JJ 39713 1389 24 cases case NNS 39713 1389 25 . . . 39713 1390 1 Would Would MD 39713 1390 2 it -PRON- PRP 39713 1390 3 not not RB 39713 1390 4 be be VB 39713 1390 5 simpler simple JJR 39713 1390 6 to to TO 39713 1390 7 consider consider VB 39713 1390 8 the the DT 39713 1390 9 law law NN 39713 1390 10 of of IN 39713 1390 11 acceleration acceleration NN 39713 1390 12 as as IN 39713 1390 13 a a DT 39713 1390 14 definition definition NN 39713 1390 15 in in IN 39713 1390 16 all all DT 39713 1390 17 cases case NNS 39713 1390 18 , , , 39713 1390 19 and and CC 39713 1390 20 to to TO 39713 1390 21 regard regard VB 39713 1390 22 the the DT 39713 1390 23 experiments experiment NNS 39713 1390 24 in in IN 39713 1390 25 question question NN 39713 1390 26 , , , 39713 1390 27 not not RB 39713 1390 28 as as IN 39713 1390 29 verifications verification NNS 39713 1390 30 of of IN 39713 1390 31 this this DT 39713 1390 32 law law NN 39713 1390 33 , , , 39713 1390 34 but but CC 39713 1390 35 as as IN 39713 1390 36 verifications verification NNS 39713 1390 37 of of IN 39713 1390 38 the the DT 39713 1390 39 principle principle NN 39713 1390 40 of of IN 39713 1390 41 reaction reaction NN 39713 1390 42 , , , 39713 1390 43 or or CC 39713 1390 44 as as IN 39713 1390 45 demonstrating demonstrate VBG 39713 1390 46 that that IN 39713 1390 47 the the DT 39713 1390 48 deformations deformation NNS 39713 1390 49 of of IN 39713 1390 50 an an DT 39713 1390 51 elastic elastic JJ 39713 1390 52 body body NN 39713 1390 53 depend depend VBP 39713 1390 54 only only RB 39713 1390 55 on on IN 39713 1390 56 the the DT 39713 1390 57 forces force NNS 39713 1390 58 to to TO 39713 1390 59 which which WDT 39713 1390 60 this this DT 39713 1390 61 body body NN 39713 1390 62 is be VBZ 39713 1390 63 subjected subject VBN 39713 1390 64 ? ? . 39713 1391 1 And and CC 39713 1391 2 this this DT 39713 1391 3 is be VBZ 39713 1391 4 without without IN 39713 1391 5 taking take VBG 39713 1391 6 into into IN 39713 1391 7 account account NN 39713 1391 8 that that IN 39713 1391 9 the the DT 39713 1391 10 conditions condition NNS 39713 1391 11 under under IN 39713 1391 12 which which WDT 39713 1391 13 your -PRON- PRP$ 39713 1391 14 definition definition NN 39713 1391 15 could could MD 39713 1391 16 be be VB 39713 1391 17 accepted accept VBN 39713 1391 18 are be VBP 39713 1391 19 never never RB 39713 1391 20 fulfilled fulfil VBN 39713 1391 21 except except IN 39713 1391 22 imperfectly imperfectly RB 39713 1391 23 , , , 39713 1391 24 that that IN 39713 1391 25 a a DT 39713 1391 26 thread thread NN 39713 1391 27 is be VBZ 39713 1391 28 never never RB 39713 1391 29 without without IN 39713 1391 30 mass mass NN 39713 1391 31 , , , 39713 1391 32 that that IN 39713 1391 33 it -PRON- PRP 39713 1391 34 is be VBZ 39713 1391 35 never never RB 39713 1391 36 removed remove VBN 39713 1391 37 from from IN 39713 1391 38 every every DT 39713 1391 39 force force NN 39713 1391 40 except except IN 39713 1391 41 the the DT 39713 1391 42 reaction reaction NN 39713 1391 43 of of IN 39713 1391 44 the the DT 39713 1391 45 bodies body NNS 39713 1391 46 attached attach VBN 39713 1391 47 to to IN 39713 1391 48 its -PRON- PRP$ 39713 1391 49 extremities extremity NNS 39713 1391 50 . . . 39713 1392 1 Andrade Andrade NNP 39713 1392 2 's 's POS 39713 1392 3 ideas idea NNS 39713 1392 4 are be VBP 39713 1392 5 nevertheless nevertheless RB 39713 1392 6 very very RB 39713 1392 7 interesting interesting JJ 39713 1392 8 ; ; : 39713 1392 9 if if IN 39713 1392 10 they -PRON- PRP 39713 1392 11 do do VBP 39713 1392 12 not not RB 39713 1392 13 satisfy satisfy VB 39713 1392 14 our -PRON- PRP$ 39713 1392 15 logical logical JJ 39713 1392 16 craving craving NN 39713 1392 17 , , , 39713 1392 18 they -PRON- PRP 39713 1392 19 make make VBP 39713 1392 20 us -PRON- PRP 39713 1392 21 understand understand VB 39713 1392 22 better well RBR 39713 1392 23 the the DT 39713 1392 24 historic historic JJ 39713 1392 25 genesis genesis NN 39713 1392 26 of of IN 39713 1392 27 the the DT 39713 1392 28 fundamental fundamental JJ 39713 1392 29 ideas idea NNS 39713 1392 30 of of IN 39713 1392 31 mechanics mechanic NNS 39713 1392 32 . . . 39713 1393 1 The the DT 39713 1393 2 reflections reflection NNS 39713 1393 3 they -PRON- PRP 39713 1393 4 suggest suggest VBP 39713 1393 5 show show VBP 39713 1393 6 us -PRON- PRP 39713 1393 7 how how WRB 39713 1393 8 the the DT 39713 1393 9 human human JJ 39713 1393 10 mind mind NN 39713 1393 11 has have VBZ 39713 1393 12 raised raise VBN 39713 1393 13 itself -PRON- PRP 39713 1393 14 from from IN 39713 1393 15 a a DT 39713 1393 16 naïve naïve JJ 39713 1393 17 anthropomorphism anthropomorphism NN 39713 1393 18 to to IN 39713 1393 19 the the DT 39713 1393 20 present present JJ 39713 1393 21 conceptions conception NNS 39713 1393 22 of of IN 39713 1393 23 science science NN 39713 1393 24 . . . 39713 1394 1 We -PRON- PRP 39713 1394 2 see see VBP 39713 1394 3 at at IN 39713 1394 4 the the DT 39713 1394 5 start start NN 39713 1394 6 a a DT 39713 1394 7 very very RB 39713 1394 8 particular particular JJ 39713 1394 9 and and CC 39713 1394 10 in in IN 39713 1394 11 sum sum NN 39713 1394 12 rather rather RB 39713 1394 13 crude crude JJ 39713 1394 14 experiment experiment NN 39713 1394 15 ; ; : 39713 1394 16 at at IN 39713 1394 17 the the DT 39713 1394 18 finish finish NN 39713 1394 19 , , , 39713 1394 20 a a DT 39713 1394 21 law law NN 39713 1394 22 perfectly perfectly RB 39713 1394 23 general general JJ 39713 1394 24 , , , 39713 1394 25 perfectly perfectly RB 39713 1394 26 precise precise JJ 39713 1394 27 , , , 39713 1394 28 the the DT 39713 1394 29 certainty certainty NN 39713 1394 30 of of IN 39713 1394 31 which which WDT 39713 1394 32 we -PRON- PRP 39713 1394 33 regard regard VBP 39713 1394 34 as as IN 39713 1394 35 absolute absolute JJ 39713 1394 36 . . . 39713 1395 1 This this DT 39713 1395 2 certainty certainty NN 39713 1395 3 we -PRON- PRP 39713 1395 4 ourselves -PRON- PRP 39713 1395 5 have have VBP 39713 1395 6 bestowed bestow VBN 39713 1395 7 upon upon IN 39713 1395 8 it -PRON- PRP 39713 1395 9 voluntarily voluntarily RB 39713 1395 10 , , , 39713 1395 11 so so RB 39713 1395 12 to to TO 39713 1395 13 speak speak VB 39713 1395 14 , , , 39713 1395 15 by by IN 39713 1395 16 looking look VBG 39713 1395 17 upon upon IN 39713 1395 18 it -PRON- PRP 39713 1395 19 as as IN 39713 1395 20 a a DT 39713 1395 21 convention convention NN 39713 1395 22 . . . 39713 1396 1 Are be VBP 39713 1396 2 the the DT 39713 1396 3 law law NN 39713 1396 4 of of IN 39713 1396 5 acceleration acceleration NN 39713 1396 6 , , , 39713 1396 7 the the DT 39713 1396 8 rule rule NN 39713 1396 9 of of IN 39713 1396 10 the the DT 39713 1396 11 composition composition NN 39713 1396 12 of of IN 39713 1396 13 forces force NNS 39713 1396 14 then then RB 39713 1396 15 only only RB 39713 1396 16 arbitrary arbitrary JJ 39713 1396 17 conventions convention NNS 39713 1396 18 ? ? . 39713 1397 1 Conventions convention NNS 39713 1397 2 , , , 39713 1397 3 yes yes UH 39713 1397 4 ; ; : 39713 1397 5 arbitrary arbitrary JJ 39713 1397 6 , , , 39713 1397 7 no no UH 39713 1397 8 ; ; : 39713 1397 9 they -PRON- PRP 39713 1397 10 would would MD 39713 1397 11 be be VB 39713 1397 12 if if IN 39713 1397 13 we -PRON- PRP 39713 1397 14 lost lose VBD 39713 1397 15 sight sight NN 39713 1397 16 of of IN 39713 1397 17 the the DT 39713 1397 18 experiments experiment NNS 39713 1397 19 which which WDT 39713 1397 20 led lead VBD 39713 1397 21 the the DT 39713 1397 22 creators creator NNS 39713 1397 23 of of IN 39713 1397 24 the the DT 39713 1397 25 science science NN 39713 1397 26 to to TO 39713 1397 27 adopt adopt VB 39713 1397 28 them -PRON- PRP 39713 1397 29 , , , 39713 1397 30 and and CC 39713 1397 31 which which WDT 39713 1397 32 , , , 39713 1397 33 imperfect imperfect VBP 39713 1397 34 as as IN 39713 1397 35 they -PRON- PRP 39713 1397 36 may may MD 39713 1397 37 be be VB 39713 1397 38 , , , 39713 1397 39 suffice suffice VB 39713 1397 40 to to TO 39713 1397 41 justify justify VB 39713 1397 42 them -PRON- PRP 39713 1397 43 . . . 39713 1398 1 It -PRON- PRP 39713 1398 2 is be VBZ 39713 1398 3 well well RB 39713 1398 4 that that IN 39713 1398 5 from from IN 39713 1398 6 time time NN 39713 1398 7 to to TO 39713 1398 8 time time VB 39713 1398 9 our -PRON- PRP$ 39713 1398 10 attention attention NN 39713 1398 11 is be VBZ 39713 1398 12 carried carry VBN 39713 1398 13 back back RB 39713 1398 14 to to IN 39713 1398 15 the the DT 39713 1398 16 experimental experimental JJ 39713 1398 17 origin origin NN 39713 1398 18 of of IN 39713 1398 19 these these DT 39713 1398 20 conventions convention NNS 39713 1398 21 . . . 39713 1399 1 CHAPTER CHAPTER NNP 39713 1399 2 VII vii NN 39713 1399 3 RELATIVE RELATIVE VBD 39713 1399 4 MOTION MOTION NNP 39713 1399 5 AND and CC 39713 1399 6 ABSOLUTE ABSOLUTE NNP 39713 1399 7 MOTION MOTION NNP 39713 1399 8 THE the DT 39713 1399 9 PRINCIPLE PRINCIPLE NNP 39713 1399 10 OF of IN 39713 1399 11 RELATIVE RELATIVE NNP 39713 1399 12 MOTION.--The MOTION.--The NNP 39713 1399 13 attempt attempt NN 39713 1399 14 has have VBZ 39713 1399 15 sometimes sometimes RB 39713 1399 16 been be VBN 39713 1399 17 made make VBN 39713 1399 18 to to TO 39713 1399 19 attach attach VB 39713 1399 20 the the DT 39713 1399 21 law law NN 39713 1399 22 of of IN 39713 1399 23 acceleration acceleration NN 39713 1399 24 to to IN 39713 1399 25 a a DT 39713 1399 26 more more RBR 39713 1399 27 general general JJ 39713 1399 28 principle principle NN 39713 1399 29 . . . 39713 1400 1 The the DT 39713 1400 2 motion motion NN 39713 1400 3 of of IN 39713 1400 4 any any DT 39713 1400 5 system system NN 39713 1400 6 must must MD 39713 1400 7 obey obey VB 39713 1400 8 the the DT 39713 1400 9 same same JJ 39713 1400 10 laws law NNS 39713 1400 11 , , , 39713 1400 12 whether whether IN 39713 1400 13 it -PRON- PRP 39713 1400 14 be be VB 39713 1400 15 referred refer VBN 39713 1400 16 to to IN 39713 1400 17 fixed fix VBN 39713 1400 18 axes axis NNS 39713 1400 19 , , , 39713 1400 20 or or CC 39713 1400 21 to to IN 39713 1400 22 movable movable JJ 39713 1400 23 axes axis NNS 39713 1400 24 carried carry VBN 39713 1400 25 along along RB 39713 1400 26 in in IN 39713 1400 27 a a DT 39713 1400 28 rectilinear rectilinear JJ 39713 1400 29 and and CC 39713 1400 30 uniform uniform JJ 39713 1400 31 motion motion NN 39713 1400 32 . . . 39713 1401 1 This this DT 39713 1401 2 is be VBZ 39713 1401 3 the the DT 39713 1401 4 principle principle NN 39713 1401 5 of of IN 39713 1401 6 relative relative JJ 39713 1401 7 motion motion NN 39713 1401 8 , , , 39713 1401 9 which which WDT 39713 1401 10 forces force VBZ 39713 1401 11 itself -PRON- PRP 39713 1401 12 upon upon IN 39713 1401 13 us -PRON- PRP 39713 1401 14 for for IN 39713 1401 15 two two CD 39713 1401 16 reasons reason NNS 39713 1401 17 : : : 39713 1401 18 first first RB 39713 1401 19 , , , 39713 1401 20 the the DT 39713 1401 21 commonest common JJS 39713 1401 22 experience experience NN 39713 1401 23 confirms confirm VBZ 39713 1401 24 it -PRON- PRP 39713 1401 25 , , , 39713 1401 26 and and CC 39713 1401 27 second second RB 39713 1401 28 , , , 39713 1401 29 the the DT 39713 1401 30 contrary contrary JJ 39713 1401 31 hypothesis hypothesis NN 39713 1401 32 is be VBZ 39713 1401 33 singularly singularly RB 39713 1401 34 repugnant repugnant JJ 39713 1401 35 to to IN 39713 1401 36 the the DT 39713 1401 37 mind mind NN 39713 1401 38 . . . 39713 1402 1 Assume assume VB 39713 1402 2 it -PRON- PRP 39713 1402 3 then then RB 39713 1402 4 , , , 39713 1402 5 and and CC 39713 1402 6 consider consider VB 39713 1402 7 a a DT 39713 1402 8 body body NN 39713 1402 9 subjected subject VBN 39713 1402 10 to to IN 39713 1402 11 a a DT 39713 1402 12 force force NN 39713 1402 13 ; ; : 39713 1402 14 the the DT 39713 1402 15 relative relative JJ 39713 1402 16 motion motion NN 39713 1402 17 of of IN 39713 1402 18 this this DT 39713 1402 19 body body NN 39713 1402 20 , , , 39713 1402 21 in in IN 39713 1402 22 reference reference NN 39713 1402 23 to to IN 39713 1402 24 an an DT 39713 1402 25 observer observer NN 39713 1402 26 moving move VBG 39713 1402 27 with with IN 39713 1402 28 a a DT 39713 1402 29 uniform uniform JJ 39713 1402 30 velocity velocity NN 39713 1402 31 equal equal JJ 39713 1402 32 to to IN 39713 1402 33 the the DT 39713 1402 34 initial initial JJ 39713 1402 35 velocity velocity NN 39713 1402 36 of of IN 39713 1402 37 the the DT 39713 1402 38 body body NN 39713 1402 39 , , , 39713 1402 40 must must MD 39713 1402 41 be be VB 39713 1402 42 identical identical JJ 39713 1402 43 to to IN 39713 1402 44 what what WP 39713 1402 45 its -PRON- PRP$ 39713 1402 46 absolute absolute JJ 39713 1402 47 motion motion NN 39713 1402 48 would would MD 39713 1402 49 be be VB 39713 1402 50 if if IN 39713 1402 51 it -PRON- PRP 39713 1402 52 started start VBD 39713 1402 53 from from IN 39713 1402 54 rest rest NN 39713 1402 55 . . . 39713 1403 1 We -PRON- PRP 39713 1403 2 conclude conclude VBP 39713 1403 3 hence hence RB 39713 1403 4 that that IN 39713 1403 5 its -PRON- PRP$ 39713 1403 6 acceleration acceleration NN 39713 1403 7 can can MD 39713 1403 8 not not RB 39713 1403 9 depend depend VB 39713 1403 10 upon upon IN 39713 1403 11 its -PRON- PRP$ 39713 1403 12 absolute absolute JJ 39713 1403 13 velocity velocity NN 39713 1403 14 ; ; : 39713 1403 15 the the DT 39713 1403 16 attempt attempt NN 39713 1403 17 has have VBZ 39713 1403 18 even even RB 39713 1403 19 been be VBN 39713 1403 20 made make VBN 39713 1403 21 to to TO 39713 1403 22 derive derive VB 39713 1403 23 from from IN 39713 1403 24 this this DT 39713 1403 25 a a DT 39713 1403 26 demonstration demonstration NN 39713 1403 27 of of IN 39713 1403 28 the the DT 39713 1403 29 law law NN 39713 1403 30 of of IN 39713 1403 31 acceleration acceleration NN 39713 1403 32 . . . 39713 1404 1 There there EX 39713 1404 2 long long RB 39713 1404 3 were be VBD 39713 1404 4 traces trace NNS 39713 1404 5 of of IN 39713 1404 6 this this DT 39713 1404 7 demonstration demonstration NN 39713 1404 8 in in IN 39713 1404 9 the the DT 39713 1404 10 regulations regulation NNS 39713 1404 11 for for IN 39713 1404 12 the the DT 39713 1404 13 degree degree NN 39713 1404 14 B. B. NNP 39713 1404 15 ès ès NNP 39713 1404 16 Sc Sc NNP 39713 1404 17 . . . 39713 1405 1 It -PRON- PRP 39713 1405 2 is be VBZ 39713 1405 3 evident evident JJ 39713 1405 4 that that IN 39713 1405 5 this this DT 39713 1405 6 attempt attempt NN 39713 1405 7 is be VBZ 39713 1405 8 idle idle JJ 39713 1405 9 . . . 39713 1406 1 The the DT 39713 1406 2 obstacle obstacle NN 39713 1406 3 which which WDT 39713 1406 4 prevented prevent VBD 39713 1406 5 our -PRON- PRP$ 39713 1406 6 demonstrating demonstrate VBG 39713 1406 7 the the DT 39713 1406 8 law law NN 39713 1406 9 of of IN 39713 1406 10 acceleration acceleration NN 39713 1406 11 is be VBZ 39713 1406 12 that that IN 39713 1406 13 we -PRON- PRP 39713 1406 14 had have VBD 39713 1406 15 no no DT 39713 1406 16 definition definition NN 39713 1406 17 of of IN 39713 1406 18 force force NN 39713 1406 19 ; ; : 39713 1406 20 this this DT 39713 1406 21 obstacle obstacle NN 39713 1406 22 subsists subsist VBZ 39713 1406 23 in in IN 39713 1406 24 its -PRON- PRP$ 39713 1406 25 entirety entirety NN 39713 1406 26 , , , 39713 1406 27 since since IN 39713 1406 28 the the DT 39713 1406 29 principle principle NN 39713 1406 30 invoked invoke VBD 39713 1406 31 has have VBZ 39713 1406 32 not not RB 39713 1406 33 furnished furnish VBN 39713 1406 34 us -PRON- PRP 39713 1406 35 the the DT 39713 1406 36 definition definition NN 39713 1406 37 we -PRON- PRP 39713 1406 38 lacked lack VBD 39713 1406 39 . . . 39713 1407 1 The the DT 39713 1407 2 principle principle NN 39713 1407 3 of of IN 39713 1407 4 relative relative JJ 39713 1407 5 motion motion NN 39713 1407 6 is be VBZ 39713 1407 7 none none NN 39713 1407 8 the the DT 39713 1407 9 less less RBR 39713 1407 10 highly highly RB 39713 1407 11 interesting interesting JJ 39713 1407 12 and and CC 39713 1407 13 deserves deserve VBZ 39713 1407 14 study study NN 39713 1407 15 for for IN 39713 1407 16 its -PRON- PRP$ 39713 1407 17 own own JJ 39713 1407 18 sake sake NN 39713 1407 19 . . . 39713 1408 1 Let let VB 39713 1408 2 us -PRON- PRP 39713 1408 3 first first RB 39713 1408 4 try try VB 39713 1408 5 to to TO 39713 1408 6 enunciate enunciate VB 39713 1408 7 it -PRON- PRP 39713 1408 8 in in IN 39713 1408 9 a a DT 39713 1408 10 precise precise JJ 39713 1408 11 manner manner NN 39713 1408 12 . . . 39713 1409 1 We -PRON- PRP 39713 1409 2 have have VBP 39713 1409 3 said say VBD 39713 1409 4 above above IN 39713 1409 5 that that IN 39713 1409 6 the the DT 39713 1409 7 accelerations acceleration NNS 39713 1409 8 of of IN 39713 1409 9 the the DT 39713 1409 10 different different JJ 39713 1409 11 bodies body NNS 39713 1409 12 forming form VBG 39713 1409 13 part part NN 39713 1409 14 of of IN 39713 1409 15 an an DT 39713 1409 16 isolated isolated JJ 39713 1409 17 system system NN 39713 1409 18 depend depend VBP 39713 1409 19 only only RB 39713 1409 20 on on IN 39713 1409 21 their -PRON- PRP$ 39713 1409 22 relative relative JJ 39713 1409 23 velocities velocity NNS 39713 1409 24 and and CC 39713 1409 25 positions position NNS 39713 1409 26 , , , 39713 1409 27 and and CC 39713 1409 28 not not RB 39713 1409 29 on on IN 39713 1409 30 their -PRON- PRP$ 39713 1409 31 absolute absolute JJ 39713 1409 32 velocities velocity NNS 39713 1409 33 and and CC 39713 1409 34 positions position NNS 39713 1409 35 , , , 39713 1409 36 provided provide VBD 39713 1409 37 the the DT 39713 1409 38 movable movable JJ 39713 1409 39 axes axis NNS 39713 1409 40 to to TO 39713 1409 41 which which WDT 39713 1409 42 the the DT 39713 1409 43 relative relative JJ 39713 1409 44 motion motion NN 39713 1409 45 is be VBZ 39713 1409 46 referred refer VBN 39713 1409 47 move move NN 39713 1409 48 uniformly uniformly RB 39713 1409 49 in in IN 39713 1409 50 a a DT 39713 1409 51 straight straight JJ 39713 1409 52 line line NN 39713 1409 53 . . . 39713 1410 1 Or or CC 39713 1410 2 , , , 39713 1410 3 if if IN 39713 1410 4 we -PRON- PRP 39713 1410 5 prefer prefer VBP 39713 1410 6 , , , 39713 1410 7 their -PRON- PRP$ 39713 1410 8 accelerations acceleration NNS 39713 1410 9 depend depend VBP 39713 1410 10 only only RB 39713 1410 11 on on IN 39713 1410 12 the the DT 39713 1410 13 differences difference NNS 39713 1410 14 of of IN 39713 1410 15 their -PRON- PRP$ 39713 1410 16 velocities velocity NNS 39713 1410 17 and and CC 39713 1410 18 the the DT 39713 1410 19 differences difference NNS 39713 1410 20 of of IN 39713 1410 21 their -PRON- PRP$ 39713 1410 22 coordinates coordinate NNS 39713 1410 23 , , , 39713 1410 24 and and CC 39713 1410 25 not not RB 39713 1410 26 on on IN 39713 1410 27 the the DT 39713 1410 28 absolute absolute JJ 39713 1410 29 values value NNS 39713 1410 30 of of IN 39713 1410 31 these these DT 39713 1410 32 velocities velocity NNS 39713 1410 33 and and CC 39713 1410 34 coordinates coordinate NNS 39713 1410 35 . . . 39713 1411 1 If if IN 39713 1411 2 this this DT 39713 1411 3 principle principle NN 39713 1411 4 is be VBZ 39713 1411 5 true true JJ 39713 1411 6 for for IN 39713 1411 7 relative relative JJ 39713 1411 8 accelerations acceleration NNS 39713 1411 9 , , , 39713 1411 10 or or CC 39713 1411 11 rather rather RB 39713 1411 12 for for IN 39713 1411 13 differences difference NNS 39713 1411 14 of of IN 39713 1411 15 acceleration acceleration NN 39713 1411 16 , , , 39713 1411 17 in in IN 39713 1411 18 combining combine VBG 39713 1411 19 it -PRON- PRP 39713 1411 20 with with IN 39713 1411 21 the the DT 39713 1411 22 law law NN 39713 1411 23 of of IN 39713 1411 24 reaction reaction NN 39713 1411 25 we -PRON- PRP 39713 1411 26 shall shall MD 39713 1411 27 thence thence RB 39713 1411 28 deduce deduce VB 39713 1411 29 that that IN 39713 1411 30 it -PRON- PRP 39713 1411 31 is be VBZ 39713 1411 32 still still RB 39713 1411 33 true true JJ 39713 1411 34 of of IN 39713 1411 35 absolute absolute JJ 39713 1411 36 accelerations acceleration NNS 39713 1411 37 . . . 39713 1412 1 It -PRON- PRP 39713 1412 2 then then RB 39713 1412 3 remains remain VBZ 39713 1412 4 to to TO 39713 1412 5 be be VB 39713 1412 6 seen see VBN 39713 1412 7 how how WRB 39713 1412 8 we -PRON- PRP 39713 1412 9 may may MD 39713 1412 10 demonstrate demonstrate VB 39713 1412 11 that that IN 39713 1412 12 the the DT 39713 1412 13 differences difference NNS 39713 1412 14 of of IN 39713 1412 15 the the DT 39713 1412 16 accelerations acceleration NNS 39713 1412 17 depend depend VBP 39713 1412 18 only only RB 39713 1412 19 on on IN 39713 1412 20 the the DT 39713 1412 21 differences difference NNS 39713 1412 22 of of IN 39713 1412 23 the the DT 39713 1412 24 velocities velocity NNS 39713 1412 25 and and CC 39713 1412 26 of of IN 39713 1412 27 the the DT 39713 1412 28 coordinates coordinate NNS 39713 1412 29 , , , 39713 1412 30 or or CC 39713 1412 31 , , , 39713 1412 32 to to TO 39713 1412 33 speak speak VB 39713 1412 34 in in IN 39713 1412 35 mathematical mathematical JJ 39713 1412 36 language language NN 39713 1412 37 , , , 39713 1412 38 that that IN 39713 1412 39 these these DT 39713 1412 40 differences difference NNS 39713 1412 41 of of IN 39713 1412 42 coordinates coordinate NNS 39713 1412 43 satisfy satisfy VBP 39713 1412 44 differential differential NN 39713 1412 45 equations equation NNS 39713 1412 46 of of IN 39713 1412 47 the the DT 39713 1412 48 second second JJ 39713 1412 49 order order NN 39713 1412 50 . . . 39713 1413 1 Can Can MD 39713 1413 2 this this DT 39713 1413 3 demonstration demonstration NN 39713 1413 4 be be VB 39713 1413 5 deduced deduce VBN 39713 1413 6 from from IN 39713 1413 7 experiments experiment NNS 39713 1413 8 or or CC 39713 1413 9 from from IN 39713 1413 10 _ _ NNP 39713 1413 11 a a DT 39713 1413 12 priori priori FW 39713 1413 13 _ _ NNP 39713 1413 14 considerations consideration NNS 39713 1413 15 ? ? . 39713 1414 1 Recalling recall VBG 39713 1414 2 what what WP 39713 1414 3 we -PRON- PRP 39713 1414 4 have have VBP 39713 1414 5 said say VBD 39713 1414 6 above above RB 39713 1414 7 , , , 39713 1414 8 the the DT 39713 1414 9 reader reader NN 39713 1414 10 can can MD 39713 1414 11 answer answer VB 39713 1414 12 for for IN 39713 1414 13 himself -PRON- PRP 39713 1414 14 . . . 39713 1415 1 Thus thus RB 39713 1415 2 enunciated enunciate VBN 39713 1415 3 , , , 39713 1415 4 in in IN 39713 1415 5 fact fact NN 39713 1415 6 , , , 39713 1415 7 the the DT 39713 1415 8 principle principle NN 39713 1415 9 of of IN 39713 1415 10 relative relative JJ 39713 1415 11 motion motion NN 39713 1415 12 singularly singularly RB 39713 1415 13 resembles resemble VBZ 39713 1415 14 what what WP 39713 1415 15 I -PRON- PRP 39713 1415 16 called call VBD 39713 1415 17 above above IN 39713 1415 18 the the DT 39713 1415 19 generalized generalize VBN 39713 1415 20 principle principle NN 39713 1415 21 of of IN 39713 1415 22 inertia inertia NN 39713 1415 23 ; ; : 39713 1415 24 it -PRON- PRP 39713 1415 25 is be VBZ 39713 1415 26 not not RB 39713 1415 27 altogether altogether RB 39713 1415 28 the the DT 39713 1415 29 same same JJ 39713 1415 30 thing thing NN 39713 1415 31 , , , 39713 1415 32 since since IN 39713 1415 33 it -PRON- PRP 39713 1415 34 is be VBZ 39713 1415 35 a a DT 39713 1415 36 question question NN 39713 1415 37 of of IN 39713 1415 38 the the DT 39713 1415 39 differences difference NNS 39713 1415 40 of of IN 39713 1415 41 coordinates coordinate NNS 39713 1415 42 and and CC 39713 1415 43 not not RB 39713 1415 44 of of IN 39713 1415 45 the the DT 39713 1415 46 coordinates coordinate NNS 39713 1415 47 themselves -PRON- PRP 39713 1415 48 . . . 39713 1416 1 The the DT 39713 1416 2 new new JJ 39713 1416 3 principle principle NN 39713 1416 4 teaches teach VBZ 39713 1416 5 us -PRON- PRP 39713 1416 6 therefore therefore RB 39713 1416 7 something something NN 39713 1416 8 more more JJR 39713 1416 9 than than IN 39713 1416 10 the the DT 39713 1416 11 old old JJ 39713 1416 12 , , , 39713 1416 13 but but CC 39713 1416 14 the the DT 39713 1416 15 same same JJ 39713 1416 16 discussion discussion NN 39713 1416 17 is be VBZ 39713 1416 18 applicable applicable JJ 39713 1416 19 and and CC 39713 1416 20 would would MD 39713 1416 21 lead lead VB 39713 1416 22 to to IN 39713 1416 23 the the DT 39713 1416 24 same same JJ 39713 1416 25 conclusions conclusion NNS 39713 1416 26 ; ; : 39713 1416 27 it -PRON- PRP 39713 1416 28 is be VBZ 39713 1416 29 unnecessary unnecessary JJ 39713 1416 30 to to TO 39713 1416 31 return return VB 39713 1416 32 to to IN 39713 1416 33 it -PRON- PRP 39713 1416 34 . . . 39713 1417 1 NEWTON NEWTON NNP 39713 1417 2 'S 's POS 39713 1417 3 ARGUMENT.--Here argument.--here JJ 39713 1417 4 we -PRON- PRP 39713 1417 5 encounter encounter VBP 39713 1417 6 a a DT 39713 1417 7 very very RB 39713 1417 8 important important JJ 39713 1417 9 and and CC 39713 1417 10 even even RB 39713 1417 11 somewhat somewhat RB 39713 1417 12 disconcerting disconcerting JJ 39713 1417 13 question question NN 39713 1417 14 . . . 39713 1418 1 I -PRON- PRP 39713 1418 2 have have VBP 39713 1418 3 said say VBN 39713 1418 4 the the DT 39713 1418 5 principle principle NN 39713 1418 6 of of IN 39713 1418 7 relative relative JJ 39713 1418 8 motion motion NN 39713 1418 9 was be VBD 39713 1418 10 for for IN 39713 1418 11 us -PRON- PRP 39713 1418 12 not not RB 39713 1418 13 solely solely RB 39713 1418 14 a a DT 39713 1418 15 result result NN 39713 1418 16 of of IN 39713 1418 17 experiment experiment NN 39713 1418 18 and and CC 39713 1418 19 that that IN 39713 1418 20 _ _ NNP 39713 1418 21 a a DT 39713 1418 22 priori priori FW 39713 1418 23 _ _ NNP 39713 1418 24 every every DT 39713 1418 25 contrary contrary JJ 39713 1418 26 hypothesis hypothesis NN 39713 1418 27 would would MD 39713 1418 28 be be VB 39713 1418 29 repugnant repugnant JJ 39713 1418 30 to to IN 39713 1418 31 the the DT 39713 1418 32 mind mind NN 39713 1418 33 . . . 39713 1419 1 But but CC 39713 1419 2 then then RB 39713 1419 3 , , , 39713 1419 4 why why WRB 39713 1419 5 is be VBZ 39713 1419 6 the the DT 39713 1419 7 principle principle JJ 39713 1419 8 true true JJ 39713 1419 9 only only RB 39713 1419 10 if if IN 39713 1419 11 the the DT 39713 1419 12 motion motion NN 39713 1419 13 of of IN 39713 1419 14 the the DT 39713 1419 15 movable movable JJ 39713 1419 16 axes axis NNS 39713 1419 17 is be VBZ 39713 1419 18 rectilinear rectilinear JJ 39713 1419 19 and and CC 39713 1419 20 uniform uniform JJ 39713 1419 21 ? ? . 39713 1420 1 It -PRON- PRP 39713 1420 2 seems seem VBZ 39713 1420 3 that that IN 39713 1420 4 it -PRON- PRP 39713 1420 5 ought ought MD 39713 1420 6 to to TO 39713 1420 7 impose impose VB 39713 1420 8 itself -PRON- PRP 39713 1420 9 upon upon IN 39713 1420 10 us -PRON- PRP 39713 1420 11 with with IN 39713 1420 12 the the DT 39713 1420 13 same same JJ 39713 1420 14 force force NN 39713 1420 15 , , , 39713 1420 16 if if IN 39713 1420 17 this this DT 39713 1420 18 motion motion NN 39713 1420 19 is be VBZ 39713 1420 20 varied varied JJ 39713 1420 21 , , , 39713 1420 22 or or CC 39713 1420 23 at at IN 39713 1420 24 any any DT 39713 1420 25 rate rate NN 39713 1420 26 if if IN 39713 1420 27 it -PRON- PRP 39713 1420 28 reduces reduce VBZ 39713 1420 29 to to IN 39713 1420 30 a a DT 39713 1420 31 uniform uniform JJ 39713 1420 32 rotation rotation NN 39713 1420 33 . . . 39713 1421 1 Now now RB 39713 1421 2 , , , 39713 1421 3 in in IN 39713 1421 4 these these DT 39713 1421 5 two two CD 39713 1421 6 cases case NNS 39713 1421 7 , , , 39713 1421 8 the the DT 39713 1421 9 principle principle NN 39713 1421 10 is be VBZ 39713 1421 11 not not RB 39713 1421 12 true true JJ 39713 1421 13 . . . 39713 1422 1 I -PRON- PRP 39713 1422 2 will will MD 39713 1422 3 not not RB 39713 1422 4 dwell dwell VB 39713 1422 5 long long RB 39713 1422 6 on on IN 39713 1422 7 the the DT 39713 1422 8 case case NN 39713 1422 9 where where WRB 39713 1422 10 the the DT 39713 1422 11 motion motion NN 39713 1422 12 of of IN 39713 1422 13 the the DT 39713 1422 14 axes axis NNS 39713 1422 15 is be VBZ 39713 1422 16 rectilinear rectilinear JJ 39713 1422 17 without without IN 39713 1422 18 being be VBG 39713 1422 19 uniform uniform JJ 39713 1422 20 ; ; : 39713 1422 21 the the DT 39713 1422 22 paradox paradox NN 39713 1422 23 does do VBZ 39713 1422 24 not not RB 39713 1422 25 bear bear VB 39713 1422 26 a a DT 39713 1422 27 moment moment NN 39713 1422 28 's 's POS 39713 1422 29 examination examination NN 39713 1422 30 . . . 39713 1423 1 If if IN 39713 1423 2 I -PRON- PRP 39713 1423 3 am be VBP 39713 1423 4 on on IN 39713 1423 5 board board NN 39713 1423 6 , , , 39713 1423 7 and and CC 39713 1423 8 if if IN 39713 1423 9 the the DT 39713 1423 10 train train NN 39713 1423 11 , , , 39713 1423 12 striking strike VBG 39713 1423 13 any any DT 39713 1423 14 obstacle obstacle NN 39713 1423 15 , , , 39713 1423 16 stops stop VBZ 39713 1423 17 suddenly suddenly RB 39713 1423 18 , , , 39713 1423 19 I -PRON- PRP 39713 1423 20 shall shall MD 39713 1423 21 be be VB 39713 1423 22 thrown throw VBN 39713 1423 23 against against IN 39713 1423 24 the the DT 39713 1423 25 seat seat NN 39713 1423 26 in in IN 39713 1423 27 front front NN 39713 1423 28 of of IN 39713 1423 29 me -PRON- PRP 39713 1423 30 , , , 39713 1423 31 although although IN 39713 1423 32 I -PRON- PRP 39713 1423 33 have have VBP 39713 1423 34 not not RB 39713 1423 35 been be VBN 39713 1423 36 directly directly RB 39713 1423 37 subjected subject VBN 39713 1423 38 to to IN 39713 1423 39 any any DT 39713 1423 40 force force NN 39713 1423 41 . . . 39713 1424 1 There there EX 39713 1424 2 is be VBZ 39713 1424 3 nothing nothing NN 39713 1424 4 mysterious mysterious JJ 39713 1424 5 in in IN 39713 1424 6 that that DT 39713 1424 7 ; ; : 39713 1424 8 if if IN 39713 1424 9 I -PRON- PRP 39713 1424 10 have have VBP 39713 1424 11 undergone undergo VBN 39713 1424 12 the the DT 39713 1424 13 action action NN 39713 1424 14 of of IN 39713 1424 15 no no DT 39713 1424 16 external external JJ 39713 1424 17 force force NN 39713 1424 18 , , , 39713 1424 19 the the DT 39713 1424 20 train train NN 39713 1424 21 itself -PRON- PRP 39713 1424 22 has have VBZ 39713 1424 23 experienced experience VBN 39713 1424 24 an an DT 39713 1424 25 external external JJ 39713 1424 26 impact impact NN 39713 1424 27 . . . 39713 1425 1 There there EX 39713 1425 2 can can MD 39713 1425 3 be be VB 39713 1425 4 nothing nothing NN 39713 1425 5 paradoxical paradoxical JJ 39713 1425 6 in in IN 39713 1425 7 the the DT 39713 1425 8 relative relative JJ 39713 1425 9 motion motion NN 39713 1425 10 of of IN 39713 1425 11 two two CD 39713 1425 12 bodies body NNS 39713 1425 13 being be VBG 39713 1425 14 disturbed disturb VBN 39713 1425 15 when when WRB 39713 1425 16 the the DT 39713 1425 17 motion motion NN 39713 1425 18 of of IN 39713 1425 19 one one CD 39713 1425 20 or or CC 39713 1425 21 the the DT 39713 1425 22 other other JJ 39713 1425 23 is be VBZ 39713 1425 24 modified modify VBN 39713 1425 25 by by IN 39713 1425 26 an an DT 39713 1425 27 external external JJ 39713 1425 28 cause cause NN 39713 1425 29 . . . 39713 1426 1 I -PRON- PRP 39713 1426 2 will will MD 39713 1426 3 pause pause VB 39713 1426 4 longer longer RB 39713 1426 5 on on IN 39713 1426 6 the the DT 39713 1426 7 case case NN 39713 1426 8 of of IN 39713 1426 9 relative relative JJ 39713 1426 10 motions motion NNS 39713 1426 11 referred refer VBN 39713 1426 12 to to IN 39713 1426 13 axes axis NNS 39713 1426 14 which which WDT 39713 1426 15 rotate rotate VBP 39713 1426 16 uniformly uniformly RB 39713 1426 17 . . . 39713 1427 1 If if IN 39713 1427 2 the the DT 39713 1427 3 heavens heavens NNPS 39713 1427 4 were be VBD 39713 1427 5 always always RB 39713 1427 6 covered cover VBN 39713 1427 7 with with IN 39713 1427 8 clouds cloud NNS 39713 1427 9 , , , 39713 1427 10 if if IN 39713 1427 11 we -PRON- PRP 39713 1427 12 had have VBD 39713 1427 13 no no DT 39713 1427 14 means means NN 39713 1427 15 of of IN 39713 1427 16 observing observe VBG 39713 1427 17 the the DT 39713 1427 18 stars star NNS 39713 1427 19 , , , 39713 1427 20 we -PRON- PRP 39713 1427 21 nevertheless nevertheless RB 39713 1427 22 might may MD 39713 1427 23 conclude conclude VB 39713 1427 24 that that IN 39713 1427 25 the the DT 39713 1427 26 earth earth NN 39713 1427 27 turns turn VBZ 39713 1427 28 round round JJ 39713 1427 29 ; ; : 39713 1427 30 we -PRON- PRP 39713 1427 31 could could MD 39713 1427 32 learn learn VB 39713 1427 33 this this DT 39713 1427 34 from from IN 39713 1427 35 its -PRON- PRP$ 39713 1427 36 flattening flattening NN 39713 1427 37 or or CC 39713 1427 38 again again RB 39713 1427 39 by by IN 39713 1427 40 the the DT 39713 1427 41 Foucault Foucault NNP 39713 1427 42 pendulum pendulum NN 39713 1427 43 experiment experiment NN 39713 1427 44 . . . 39713 1428 1 And and CC 39713 1428 2 yet yet RB 39713 1428 3 , , , 39713 1428 4 in in IN 39713 1428 5 this this DT 39713 1428 6 case case NN 39713 1428 7 , , , 39713 1428 8 would would MD 39713 1428 9 it -PRON- PRP 39713 1428 10 have have VB 39713 1428 11 any any DT 39713 1428 12 meaning meaning NN 39713 1428 13 , , , 39713 1428 14 to to TO 39713 1428 15 say say VB 39713 1428 16 the the DT 39713 1428 17 earth earth NN 39713 1428 18 turns turn VBZ 39713 1428 19 round round JJ 39713 1428 20 ? ? . 39713 1429 1 If if IN 39713 1429 2 there there EX 39713 1429 3 is be VBZ 39713 1429 4 no no DT 39713 1429 5 absolute absolute JJ 39713 1429 6 space space NN 39713 1429 7 , , , 39713 1429 8 can can MD 39713 1429 9 one one CD 39713 1429 10 turn turn VB 39713 1429 11 without without IN 39713 1429 12 turning turn VBG 39713 1429 13 in in IN 39713 1429 14 reference reference NN 39713 1429 15 to to IN 39713 1429 16 something something NN 39713 1429 17 else else RB 39713 1429 18 ? ? . 39713 1430 1 and and CC 39713 1430 2 , , , 39713 1430 3 on on IN 39713 1430 4 the the DT 39713 1430 5 other other JJ 39713 1430 6 hand hand NN 39713 1430 7 , , , 39713 1430 8 how how WRB 39713 1430 9 could could MD 39713 1430 10 we -PRON- PRP 39713 1430 11 admit admit VB 39713 1430 12 Newton Newton NNP 39713 1430 13 's 's POS 39713 1430 14 conclusion conclusion NN 39713 1430 15 and and CC 39713 1430 16 believe believe VB 39713 1430 17 in in IN 39713 1430 18 absolute absolute JJ 39713 1430 19 space space NN 39713 1430 20 ? ? . 39713 1431 1 But but CC 39713 1431 2 it -PRON- PRP 39713 1431 3 does do VBZ 39713 1431 4 not not RB 39713 1431 5 suffice suffice VB 39713 1431 6 to to TO 39713 1431 7 ascertain ascertain VB 39713 1431 8 that that IN 39713 1431 9 all all DT 39713 1431 10 possible possible JJ 39713 1431 11 solutions solution NNS 39713 1431 12 are be VBP 39713 1431 13 equally equally RB 39713 1431 14 repugnant repugnant JJ 39713 1431 15 to to IN 39713 1431 16 us -PRON- PRP 39713 1431 17 ; ; : 39713 1431 18 we -PRON- PRP 39713 1431 19 must must MD 39713 1431 20 analyze analyze VB 39713 1431 21 , , , 39713 1431 22 in in IN 39713 1431 23 each each DT 39713 1431 24 case case NN 39713 1431 25 , , , 39713 1431 26 the the DT 39713 1431 27 reasons reason NNS 39713 1431 28 for for IN 39713 1431 29 our -PRON- PRP$ 39713 1431 30 repugnance repugnance NN 39713 1431 31 , , , 39713 1431 32 so so IN 39713 1431 33 as as IN 39713 1431 34 to to TO 39713 1431 35 make make VB 39713 1431 36 our -PRON- PRP$ 39713 1431 37 choice choice NN 39713 1431 38 intelligently intelligently RB 39713 1431 39 . . . 39713 1432 1 The the DT 39713 1432 2 long long JJ 39713 1432 3 discussion discussion NN 39713 1432 4 which which WDT 39713 1432 5 follows follow VBZ 39713 1432 6 will will MD 39713 1432 7 therefore therefore RB 39713 1432 8 be be VB 39713 1432 9 excused excuse VBN 39713 1432 10 . . . 39713 1433 1 Let let VB 39713 1433 2 us -PRON- PRP 39713 1433 3 resume resume VB 39713 1433 4 our -PRON- PRP$ 39713 1433 5 fiction fiction NN 39713 1433 6 : : : 39713 1433 7 thick thick JJ 39713 1433 8 clouds cloud NNS 39713 1433 9 hide hide VBP 39713 1433 10 the the DT 39713 1433 11 stars star NNS 39713 1433 12 from from IN 39713 1433 13 men man NNS 39713 1433 14 , , , 39713 1433 15 who who WP 39713 1433 16 can can MD 39713 1433 17 not not RB 39713 1433 18 observe observe VB 39713 1433 19 them -PRON- PRP 39713 1433 20 and and CC 39713 1433 21 are be VBP 39713 1433 22 ignorant ignorant JJ 39713 1433 23 even even RB 39713 1433 24 of of IN 39713 1433 25 their -PRON- PRP$ 39713 1433 26 existence existence NN 39713 1433 27 ; ; : 39713 1433 28 how how WRB 39713 1433 29 shall shall MD 39713 1433 30 these these DT 39713 1433 31 men man NNS 39713 1433 32 know know VB 39713 1433 33 the the DT 39713 1433 34 earth earth NN 39713 1433 35 turns turn VBZ 39713 1433 36 round round JJ 39713 1433 37 ? ? . 39713 1434 1 Even even RB 39713 1434 2 more more JJR 39713 1434 3 than than IN 39713 1434 4 our -PRON- PRP$ 39713 1434 5 ancestors ancestor NNS 39713 1434 6 , , , 39713 1434 7 no no RB 39713 1434 8 doubt doubt RB 39713 1434 9 , , , 39713 1434 10 they -PRON- PRP 39713 1434 11 will will MD 39713 1434 12 regard regard VB 39713 1434 13 the the DT 39713 1434 14 ground ground NN 39713 1434 15 which which WDT 39713 1434 16 bears bear VBZ 39713 1434 17 them -PRON- PRP 39713 1434 18 as as IN 39713 1434 19 fixed fixed JJ 39713 1434 20 and and CC 39713 1434 21 immovable immovable JJ 39713 1434 22 ; ; : 39713 1434 23 they -PRON- PRP 39713 1434 24 will will MD 39713 1434 25 await await VB 39713 1434 26 much much RB 39713 1434 27 longer long RBR 39713 1434 28 the the DT 39713 1434 29 advent advent NN 39713 1434 30 of of IN 39713 1434 31 a a DT 39713 1434 32 Copernicus Copernicus NNP 39713 1434 33 . . . 39713 1435 1 But but CC 39713 1435 2 in in IN 39713 1435 3 the the DT 39713 1435 4 end end NN 39713 1435 5 the the DT 39713 1435 6 Copernicus Copernicus NNP 39713 1435 7 would would MD 39713 1435 8 come come VB 39713 1435 9 -- -- : 39713 1435 10 how how WRB 39713 1435 11 ? ? . 39713 1436 1 The the DT 39713 1436 2 students student NNS 39713 1436 3 of of IN 39713 1436 4 mechanics mechanic NNS 39713 1436 5 in in IN 39713 1436 6 this this DT 39713 1436 7 world world NN 39713 1436 8 would would MD 39713 1436 9 not not RB 39713 1436 10 at at IN 39713 1436 11 first first RB 39713 1436 12 be be VB 39713 1436 13 confronted confront VBN 39713 1436 14 with with IN 39713 1436 15 an an DT 39713 1436 16 absolute absolute JJ 39713 1436 17 contradiction contradiction NN 39713 1436 18 . . . 39713 1437 1 In in IN 39713 1437 2 the the DT 39713 1437 3 theory theory NN 39713 1437 4 of of IN 39713 1437 5 relative relative JJ 39713 1437 6 motion motion NN 39713 1437 7 , , , 39713 1437 8 besides besides IN 39713 1437 9 real real JJ 39713 1437 10 forces force NNS 39713 1437 11 , , , 39713 1437 12 two two CD 39713 1437 13 fictitious fictitious JJ 39713 1437 14 forces force NNS 39713 1437 15 are be VBP 39713 1437 16 met meet VBN 39713 1437 17 which which WDT 39713 1437 18 are be VBP 39713 1437 19 called call VBN 39713 1437 20 ordinary ordinary JJ 39713 1437 21 and and CC 39713 1437 22 compound compound JJ 39713 1437 23 centrifugal centrifugal JJ 39713 1437 24 force force NN 39713 1437 25 . . . 39713 1438 1 Our -PRON- PRP$ 39713 1438 2 imaginary imaginary JJ 39713 1438 3 scientists scientist NNS 39713 1438 4 could could MD 39713 1438 5 therefore therefore RB 39713 1438 6 explain explain VB 39713 1438 7 everything everything NN 39713 1438 8 by by IN 39713 1438 9 regarding regard VBG 39713 1438 10 these these DT 39713 1438 11 two two CD 39713 1438 12 forces force NNS 39713 1438 13 as as IN 39713 1438 14 real real JJ 39713 1438 15 , , , 39713 1438 16 and and CC 39713 1438 17 they -PRON- PRP 39713 1438 18 would would MD 39713 1438 19 not not RB 39713 1438 20 see see VB 39713 1438 21 therein therein RB 39713 1438 22 any any DT 39713 1438 23 contradiction contradiction NN 39713 1438 24 of of IN 39713 1438 25 the the DT 39713 1438 26 generalized generalized JJ 39713 1438 27 principle principle NN 39713 1438 28 of of IN 39713 1438 29 inertia inertia NN 39713 1438 30 , , , 39713 1438 31 for for IN 39713 1438 32 these these DT 39713 1438 33 forces force NNS 39713 1438 34 would would MD 39713 1438 35 depend depend VB 39713 1438 36 , , , 39713 1438 37 the the DT 39713 1438 38 one one NN 39713 1438 39 on on IN 39713 1438 40 the the DT 39713 1438 41 relative relative JJ 39713 1438 42 positions position NNS 39713 1438 43 of of IN 39713 1438 44 the the DT 39713 1438 45 various various JJ 39713 1438 46 parts part NNS 39713 1438 47 of of IN 39713 1438 48 the the DT 39713 1438 49 system system NN 39713 1438 50 , , , 39713 1438 51 as as IN 39713 1438 52 real real JJ 39713 1438 53 attractions attraction NNS 39713 1438 54 do do VBP 39713 1438 55 , , , 39713 1438 56 the the DT 39713 1438 57 other other JJ 39713 1438 58 on on IN 39713 1438 59 their -PRON- PRP$ 39713 1438 60 relative relative JJ 39713 1438 61 velocities velocity NNS 39713 1438 62 , , , 39713 1438 63 as as IN 39713 1438 64 real real JJ 39713 1438 65 frictions friction NNS 39713 1438 66 do do VBP 39713 1438 67 . . . 39713 1439 1 Many many JJ 39713 1439 2 difficulties difficulty NNS 39713 1439 3 , , , 39713 1439 4 however however RB 39713 1439 5 , , , 39713 1439 6 would would MD 39713 1439 7 soon soon RB 39713 1439 8 awaken awaken VB 39713 1439 9 their -PRON- PRP$ 39713 1439 10 attention attention NN 39713 1439 11 ; ; : 39713 1439 12 if if IN 39713 1439 13 they -PRON- PRP 39713 1439 14 succeeded succeed VBD 39713 1439 15 in in IN 39713 1439 16 realizing realize VBG 39713 1439 17 an an DT 39713 1439 18 isolated isolated JJ 39713 1439 19 system system NN 39713 1439 20 , , , 39713 1439 21 the the DT 39713 1439 22 center center NN 39713 1439 23 of of IN 39713 1439 24 gravity gravity NN 39713 1439 25 of of IN 39713 1439 26 this this DT 39713 1439 27 system system NN 39713 1439 28 would would MD 39713 1439 29 not not RB 39713 1439 30 have have VB 39713 1439 31 an an DT 39713 1439 32 almost almost RB 39713 1439 33 rectilinear rectilinear JJ 39713 1439 34 path path NN 39713 1439 35 . . . 39713 1440 1 They -PRON- PRP 39713 1440 2 would would MD 39713 1440 3 invoke invoke VB 39713 1440 4 , , , 39713 1440 5 to to TO 39713 1440 6 explain explain VB 39713 1440 7 this this DT 39713 1440 8 fact fact NN 39713 1440 9 , , , 39713 1440 10 the the DT 39713 1440 11 centrifugal centrifugal JJ 39713 1440 12 forces force NNS 39713 1440 13 which which WDT 39713 1440 14 they -PRON- PRP 39713 1440 15 would would MD 39713 1440 16 regard regard VB 39713 1440 17 as as IN 39713 1440 18 real real JJ 39713 1440 19 , , , 39713 1440 20 and and CC 39713 1440 21 which which WDT 39713 1440 22 they -PRON- PRP 39713 1440 23 would would MD 39713 1440 24 attribute attribute VB 39713 1440 25 no no DT 39713 1440 26 doubt doubt NN 39713 1440 27 to to IN 39713 1440 28 the the DT 39713 1440 29 mutual mutual JJ 39713 1440 30 actions action NNS 39713 1440 31 of of IN 39713 1440 32 the the DT 39713 1440 33 bodies body NNS 39713 1440 34 . . . 39713 1441 1 Only only RB 39713 1441 2 they -PRON- PRP 39713 1441 3 would would MD 39713 1441 4 not not RB 39713 1441 5 see see VB 39713 1441 6 these these DT 39713 1441 7 forces force NNS 39713 1441 8 become become VBP 39713 1441 9 null null JJ 39713 1441 10 at at IN 39713 1441 11 great great JJ 39713 1441 12 distances distance NNS 39713 1441 13 , , , 39713 1441 14 that that DT 39713 1441 15 is be VBZ 39713 1441 16 to to TO 39713 1441 17 say say VB 39713 1441 18 in in IN 39713 1441 19 proportion proportion NN 39713 1441 20 as as IN 39713 1441 21 the the DT 39713 1441 22 isolation isolation NN 39713 1441 23 was be VBD 39713 1441 24 better well RBR 39713 1441 25 realized realize VBN 39713 1441 26 ; ; : 39713 1441 27 far far RB 39713 1441 28 from from IN 39713 1441 29 it -PRON- PRP 39713 1441 30 ; ; : 39713 1441 31 centrifugal centrifugal JJ 39713 1441 32 force force NN 39713 1441 33 increases increase VBZ 39713 1441 34 indefinitely indefinitely RB 39713 1441 35 with with IN 39713 1441 36 the the DT 39713 1441 37 distance distance NN 39713 1441 38 . . . 39713 1442 1 This this DT 39713 1442 2 difficulty difficulty NN 39713 1442 3 would would MD 39713 1442 4 seem seem VB 39713 1442 5 to to IN 39713 1442 6 them -PRON- PRP 39713 1442 7 already already RB 39713 1442 8 sufficiently sufficiently RB 39713 1442 9 great great JJ 39713 1442 10 ; ; : 39713 1442 11 and and CC 39713 1442 12 yet yet RB 39713 1442 13 it -PRON- PRP 39713 1442 14 would would MD 39713 1442 15 not not RB 39713 1442 16 stop stop VB 39713 1442 17 them -PRON- PRP 39713 1442 18 long long RB 39713 1442 19 ; ; : 39713 1442 20 they -PRON- PRP 39713 1442 21 would would MD 39713 1442 22 soon soon RB 39713 1442 23 imagine imagine VB 39713 1442 24 some some DT 39713 1442 25 very very RB 39713 1442 26 subtile subtile NN 39713 1442 27 medium medium NN 39713 1442 28 , , , 39713 1442 29 analogous analogous JJ 39713 1442 30 to to IN 39713 1442 31 our -PRON- PRP$ 39713 1442 32 ether ether NN 39713 1442 33 , , , 39713 1442 34 in in IN 39713 1442 35 which which WDT 39713 1442 36 all all DT 39713 1442 37 bodies body NNS 39713 1442 38 would would MD 39713 1442 39 be be VB 39713 1442 40 immersed immerse VBN 39713 1442 41 and and CC 39713 1442 42 which which WDT 39713 1442 43 would would MD 39713 1442 44 exert exert VB 39713 1442 45 a a DT 39713 1442 46 repellent repellent JJ 39713 1442 47 action action NN 39713 1442 48 upon upon IN 39713 1442 49 them -PRON- PRP 39713 1442 50 . . . 39713 1443 1 But but CC 39713 1443 2 this this DT 39713 1443 3 is be VBZ 39713 1443 4 not not RB 39713 1443 5 all all DT 39713 1443 6 . . . 39713 1444 1 Space space NN 39713 1444 2 is be VBZ 39713 1444 3 symmetric symmetric JJ 39713 1444 4 , , , 39713 1444 5 and and CC 39713 1444 6 yet yet RB 39713 1444 7 the the DT 39713 1444 8 laws law NNS 39713 1444 9 of of IN 39713 1444 10 motion motion NN 39713 1444 11 would would MD 39713 1444 12 not not RB 39713 1444 13 show show VB 39713 1444 14 any any DT 39713 1444 15 symmetry symmetry NN 39713 1444 16 ; ; : 39713 1444 17 they -PRON- PRP 39713 1444 18 would would MD 39713 1444 19 have have VB 39713 1444 20 to to TO 39713 1444 21 distinguish distinguish VB 39713 1444 22 between between IN 39713 1444 23 right right NN 39713 1444 24 and and CC 39713 1444 25 left leave VBD 39713 1444 26 . . . 39713 1445 1 It -PRON- PRP 39713 1445 2 would would MD 39713 1445 3 be be VB 39713 1445 4 seen see VBN 39713 1445 5 for for IN 39713 1445 6 instance instance NN 39713 1445 7 that that WDT 39713 1445 8 cyclones cyclone NNS 39713 1445 9 turn turn VBP 39713 1445 10 always always RB 39713 1445 11 in in IN 39713 1445 12 the the DT 39713 1445 13 same same JJ 39713 1445 14 sense sense NN 39713 1445 15 , , , 39713 1445 16 whereas whereas IN 39713 1445 17 by by IN 39713 1445 18 reason reason NN 39713 1445 19 of of IN 39713 1445 20 symmetry symmetry NN 39713 1445 21 these these DT 39713 1445 22 winds wind NNS 39713 1445 23 should should MD 39713 1445 24 turn turn VB 39713 1445 25 indifferently indifferently RB 39713 1445 26 in in IN 39713 1445 27 one one CD 39713 1445 28 sense sense NN 39713 1445 29 and and CC 39713 1445 30 in in IN 39713 1445 31 the the DT 39713 1445 32 other other JJ 39713 1445 33 . . . 39713 1446 1 If if IN 39713 1446 2 our -PRON- PRP$ 39713 1446 3 scientists scientist NNS 39713 1446 4 by by IN 39713 1446 5 their -PRON- PRP$ 39713 1446 6 labor labor NN 39713 1446 7 had have VBD 39713 1446 8 succeeded succeed VBN 39713 1446 9 in in IN 39713 1446 10 rendering render VBG 39713 1446 11 their -PRON- PRP$ 39713 1446 12 universe universe NN 39713 1446 13 perfectly perfectly RB 39713 1446 14 symmetric symmetric JJ 39713 1446 15 , , , 39713 1446 16 this this DT 39713 1446 17 symmetry symmetry NN 39713 1446 18 would would MD 39713 1446 19 not not RB 39713 1446 20 remain remain VB 39713 1446 21 , , , 39713 1446 22 even even RB 39713 1446 23 though though IN 39713 1446 24 there there EX 39713 1446 25 was be VBD 39713 1446 26 no no DT 39713 1446 27 apparent apparent JJ 39713 1446 28 reason reason NN 39713 1446 29 why why WRB 39713 1446 30 it -PRON- PRP 39713 1446 31 should should MD 39713 1446 32 be be VB 39713 1446 33 disturbed disturb VBN 39713 1446 34 in in IN 39713 1446 35 one one CD 39713 1446 36 sense sense NN 39713 1446 37 rather rather RB 39713 1446 38 than than IN 39713 1446 39 in in IN 39713 1446 40 the the DT 39713 1446 41 other other JJ 39713 1446 42 . . . 39713 1447 1 They -PRON- PRP 39713 1447 2 would would MD 39713 1447 3 get get VB 39713 1447 4 themselves -PRON- PRP 39713 1447 5 out out IN 39713 1447 6 of of IN 39713 1447 7 the the DT 39713 1447 8 difficulty difficulty NN 39713 1447 9 doubtless doubtless NN 39713 1447 10 , , , 39713 1447 11 they -PRON- PRP 39713 1447 12 would would MD 39713 1447 13 invent invent VB 39713 1447 14 something something NN 39713 1447 15 which which WDT 39713 1447 16 would would MD 39713 1447 17 be be VB 39713 1447 18 no no DT 39713 1447 19 more more RBR 39713 1447 20 extraordinary extraordinary JJ 39713 1447 21 than than IN 39713 1447 22 the the DT 39713 1447 23 glass glass NN 39713 1447 24 spheres sphere NNS 39713 1447 25 of of IN 39713 1447 26 Ptolemy Ptolemy NNP 39713 1447 27 , , , 39713 1447 28 and and CC 39713 1447 29 so so RB 39713 1447 30 it -PRON- PRP 39713 1447 31 would would MD 39713 1447 32 go go VB 39713 1447 33 on on RB 39713 1447 34 , , , 39713 1447 35 complications complication NNS 39713 1447 36 accumulating accumulate VBG 39713 1447 37 , , , 39713 1447 38 until until IN 39713 1447 39 the the DT 39713 1447 40 long long RB 39713 1447 41 - - HYPH 39713 1447 42 expected expect VBN 39713 1447 43 Copernicus Copernicus NNP 39713 1447 44 sweeps sweep VBZ 39713 1447 45 them -PRON- PRP 39713 1447 46 all all DT 39713 1447 47 away away RB 39713 1447 48 at at IN 39713 1447 49 a a DT 39713 1447 50 single single JJ 39713 1447 51 stroke stroke NN 39713 1447 52 , , , 39713 1447 53 saying say VBG 39713 1447 54 : : : 39713 1447 55 It -PRON- PRP 39713 1447 56 is be VBZ 39713 1447 57 much much RB 39713 1447 58 simpler simple JJR 39713 1447 59 to to TO 39713 1447 60 assume assume VB 39713 1447 61 the the DT 39713 1447 62 earth earth NN 39713 1447 63 turns turn VBZ 39713 1447 64 round round JJ 39713 1447 65 . . . 39713 1448 1 And and CC 39713 1448 2 just just RB 39713 1448 3 as as IN 39713 1448 4 our -PRON- PRP$ 39713 1448 5 Copernicus Copernicus NNP 39713 1448 6 said say VBD 39713 1448 7 to to IN 39713 1448 8 us -PRON- PRP 39713 1448 9 : : : 39713 1448 10 It -PRON- PRP 39713 1448 11 is be VBZ 39713 1448 12 more more RBR 39713 1448 13 convenient convenient JJ 39713 1448 14 to to TO 39713 1448 15 suppose suppose VB 39713 1448 16 the the DT 39713 1448 17 earth earth NN 39713 1448 18 turns turn VBZ 39713 1448 19 round round JJ 39713 1448 20 , , , 39713 1448 21 since since IN 39713 1448 22 thus thus RB 39713 1448 23 the the DT 39713 1448 24 laws law NNS 39713 1448 25 of of IN 39713 1448 26 astronomy astronomy NN 39713 1448 27 are be VBP 39713 1448 28 expressible expressible JJ 39713 1448 29 in in IN 39713 1448 30 a a DT 39713 1448 31 much much RB 39713 1448 32 simpler simple JJR 39713 1448 33 language language NN 39713 1448 34 ; ; : 39713 1448 35 this this DT 39713 1448 36 one one PRP 39713 1448 37 would would MD 39713 1448 38 say say VB 39713 1448 39 : : : 39713 1448 40 It -PRON- PRP 39713 1448 41 is be VBZ 39713 1448 42 more more RBR 39713 1448 43 convenient convenient JJ 39713 1448 44 to to TO 39713 1448 45 suppose suppose VB 39713 1448 46 the the DT 39713 1448 47 earth earth NN 39713 1448 48 turns turn VBZ 39713 1448 49 round round JJ 39713 1448 50 , , , 39713 1448 51 since since IN 39713 1448 52 thus thus RB 39713 1448 53 the the DT 39713 1448 54 laws law NNS 39713 1448 55 of of IN 39713 1448 56 mechanics mechanic NNS 39713 1448 57 are be VBP 39713 1448 58 expressible expressible JJ 39713 1448 59 in in IN 39713 1448 60 a a DT 39713 1448 61 much much RB 39713 1448 62 simpler simple JJR 39713 1448 63 language language NN 39713 1448 64 . . . 39713 1449 1 This this DT 39713 1449 2 does do VBZ 39713 1449 3 not not RB 39713 1449 4 preclude preclude VB 39713 1449 5 maintaining maintain VBG 39713 1449 6 that that DT 39713 1449 7 absolute absolute JJ 39713 1449 8 space space NN 39713 1449 9 , , , 39713 1449 10 that that DT 39713 1449 11 is be VBZ 39713 1449 12 to to TO 39713 1449 13 say say VB 39713 1449 14 the the DT 39713 1449 15 mark mark NN 39713 1449 16 to to TO 39713 1449 17 which which WDT 39713 1449 18 it -PRON- PRP 39713 1449 19 would would MD 39713 1449 20 be be VB 39713 1449 21 necessary necessary JJ 39713 1449 22 to to TO 39713 1449 23 refer refer VB 39713 1449 24 the the DT 39713 1449 25 earth earth NN 39713 1449 26 to to TO 39713 1449 27 know know VB 39713 1449 28 whether whether IN 39713 1449 29 it -PRON- PRP 39713 1449 30 really really RB 39713 1449 31 moves move VBZ 39713 1449 32 , , , 39713 1449 33 has have VBZ 39713 1449 34 no no DT 39713 1449 35 objective objective JJ 39713 1449 36 existence existence NN 39713 1449 37 . . . 39713 1450 1 Hence hence RB 39713 1450 2 , , , 39713 1450 3 this this DT 39713 1450 4 affirmation affirmation NN 39713 1450 5 : : : 39713 1450 6 ' ' '' 39713 1450 7 the the DT 39713 1450 8 earth earth NN 39713 1450 9 turns turn VBZ 39713 1450 10 round round JJ 39713 1450 11 ' ' '' 39713 1450 12 has have VBZ 39713 1450 13 no no DT 39713 1450 14 meaning meaning NN 39713 1450 15 , , , 39713 1450 16 since since IN 39713 1450 17 it -PRON- PRP 39713 1450 18 can can MD 39713 1450 19 be be VB 39713 1450 20 verified verify VBN 39713 1450 21 by by IN 39713 1450 22 no no DT 39713 1450 23 experiment experiment NN 39713 1450 24 ; ; : 39713 1450 25 since since IN 39713 1450 26 such such PDT 39713 1450 27 an an DT 39713 1450 28 experiment experiment NN 39713 1450 29 , , , 39713 1450 30 not not RB 39713 1450 31 only only RB 39713 1450 32 could could MD 39713 1450 33 not not RB 39713 1450 34 be be VB 39713 1450 35 either either CC 39713 1450 36 realized realize VBN 39713 1450 37 or or CC 39713 1450 38 dreamed dream VBN 39713 1450 39 by by IN 39713 1450 40 the the DT 39713 1450 41 boldest bold JJS 39713 1450 42 Jules Jules NNP 39713 1450 43 Verne Verne NNP 39713 1450 44 , , , 39713 1450 45 but but CC 39713 1450 46 can can MD 39713 1450 47 not not RB 39713 1450 48 be be VB 39713 1450 49 conceived conceive VBN 39713 1450 50 of of RB 39713 1450 51 without without IN 39713 1450 52 contradiction contradiction NN 39713 1450 53 ; ; : 39713 1450 54 or or CC 39713 1450 55 rather rather RB 39713 1450 56 these these DT 39713 1450 57 two two CD 39713 1450 58 propositions proposition NNS 39713 1450 59 : : : 39713 1450 60 ' ' '' 39713 1450 61 the the DT 39713 1450 62 earth earth NN 39713 1450 63 turns turn VBZ 39713 1450 64 round round JJ 39713 1450 65 , , , 39713 1450 66 ' ' '' 39713 1450 67 and and CC 39713 1450 68 , , , 39713 1450 69 ' ' '' 39713 1450 70 it -PRON- PRP 39713 1450 71 is be VBZ 39713 1450 72 more more RBR 39713 1450 73 convenient convenient JJ 39713 1450 74 to to TO 39713 1450 75 suppose suppose VB 39713 1450 76 the the DT 39713 1450 77 earth earth NN 39713 1450 78 turns turn VBZ 39713 1450 79 round round JJ 39713 1450 80 ' ' '' 39713 1450 81 have have VBP 39713 1450 82 the the DT 39713 1450 83 same same JJ 39713 1450 84 meaning meaning NN 39713 1450 85 ; ; : 39713 1450 86 there there EX 39713 1450 87 is be VBZ 39713 1450 88 nothing nothing NN 39713 1450 89 more more JJR 39713 1450 90 in in IN 39713 1450 91 the the DT 39713 1450 92 one one CD 39713 1450 93 than than IN 39713 1450 94 in in IN 39713 1450 95 the the DT 39713 1450 96 other other JJ 39713 1450 97 . . . 39713 1451 1 Perhaps perhaps RB 39713 1451 2 one one PRP 39713 1451 3 will will MD 39713 1451 4 not not RB 39713 1451 5 be be VB 39713 1451 6 content content NN 39713 1451 7 even even RB 39713 1451 8 with with IN 39713 1451 9 that that DT 39713 1451 10 , , , 39713 1451 11 and and CC 39713 1451 12 will will MD 39713 1451 13 find find VB 39713 1451 14 it -PRON- PRP 39713 1451 15 already already RB 39713 1451 16 shocking shocking JJ 39713 1451 17 that that IN 39713 1451 18 among among IN 39713 1451 19 all all PDT 39713 1451 20 the the DT 39713 1451 21 hypotheses hypothesis NNS 39713 1451 22 , , , 39713 1451 23 or or CC 39713 1451 24 rather rather RB 39713 1451 25 all all PDT 39713 1451 26 the the DT 39713 1451 27 conventions convention NNS 39713 1451 28 we -PRON- PRP 39713 1451 29 can can MD 39713 1451 30 make make VB 39713 1451 31 on on IN 39713 1451 32 this this DT 39713 1451 33 subject subject NN 39713 1451 34 , , , 39713 1451 35 there there EX 39713 1451 36 is be VBZ 39713 1451 37 one one CD 39713 1451 38 more more RBR 39713 1451 39 convenient convenient JJ 39713 1451 40 than than IN 39713 1451 41 the the DT 39713 1451 42 others other NNS 39713 1451 43 . . . 39713 1452 1 But but CC 39713 1452 2 if if IN 39713 1452 3 it -PRON- PRP 39713 1452 4 has have VBZ 39713 1452 5 been be VBN 39713 1452 6 admitted admit VBN 39713 1452 7 without without IN 39713 1452 8 difficulty difficulty NN 39713 1452 9 when when WRB 39713 1452 10 it -PRON- PRP 39713 1452 11 was be VBD 39713 1452 12 a a DT 39713 1452 13 question question NN 39713 1452 14 of of IN 39713 1452 15 the the DT 39713 1452 16 laws law NNS 39713 1452 17 of of IN 39713 1452 18 astronomy astronomy NN 39713 1452 19 , , , 39713 1452 20 why why WRB 39713 1452 21 should should MD 39713 1452 22 it -PRON- PRP 39713 1452 23 be be VB 39713 1452 24 shocking shocking JJ 39713 1452 25 in in IN 39713 1452 26 that that DT 39713 1452 27 which which WDT 39713 1452 28 concerns concern VBZ 39713 1452 29 mechanics mechanic NNS 39713 1452 30 ? ? . 39713 1453 1 We -PRON- PRP 39713 1453 2 have have VBP 39713 1453 3 seen see VBN 39713 1453 4 that that IN 39713 1453 5 the the DT 39713 1453 6 coordinates coordinate NNS 39713 1453 7 of of IN 39713 1453 8 bodies body NNS 39713 1453 9 are be VBP 39713 1453 10 determined determine VBN 39713 1453 11 by by IN 39713 1453 12 differential differential JJ 39713 1453 13 equations equation NNS 39713 1453 14 of of IN 39713 1453 15 the the DT 39713 1453 16 second second JJ 39713 1453 17 order order NN 39713 1453 18 , , , 39713 1453 19 and and CC 39713 1453 20 that that IN 39713 1453 21 so so RB 39713 1453 22 are be VBP 39713 1453 23 the the DT 39713 1453 24 differences difference NNS 39713 1453 25 of of IN 39713 1453 26 these these DT 39713 1453 27 coordinates coordinate NNS 39713 1453 28 . . . 39713 1454 1 This this DT 39713 1454 2 is be VBZ 39713 1454 3 what what WP 39713 1454 4 we -PRON- PRP 39713 1454 5 have have VBP 39713 1454 6 called call VBN 39713 1454 7 the the DT 39713 1454 8 generalized generalize VBN 39713 1454 9 principle principle NN 39713 1454 10 of of IN 39713 1454 11 inertia inertia NN 39713 1454 12 and and CC 39713 1454 13 the the DT 39713 1454 14 principle principle NN 39713 1454 15 of of IN 39713 1454 16 relative relative JJ 39713 1454 17 motion motion NN 39713 1454 18 . . . 39713 1455 1 If if IN 39713 1455 2 the the DT 39713 1455 3 distances distance NNS 39713 1455 4 of of IN 39713 1455 5 these these DT 39713 1455 6 bodies body NNS 39713 1455 7 were be VBD 39713 1455 8 determined determine VBN 39713 1455 9 likewise likewise RB 39713 1455 10 by by IN 39713 1455 11 equations equation NNS 39713 1455 12 of of IN 39713 1455 13 the the DT 39713 1455 14 second second JJ 39713 1455 15 order order NN 39713 1455 16 , , , 39713 1455 17 it -PRON- PRP 39713 1455 18 seems seem VBZ 39713 1455 19 that that IN 39713 1455 20 the the DT 39713 1455 21 mind mind NN 39713 1455 22 ought ought MD 39713 1455 23 to to TO 39713 1455 24 be be VB 39713 1455 25 entirely entirely RB 39713 1455 26 satisfied satisfied JJ 39713 1455 27 . . . 39713 1456 1 In in IN 39713 1456 2 what what WDT 39713 1456 3 measure measure NN 39713 1456 4 does do VBZ 39713 1456 5 the the DT 39713 1456 6 mind mind NN 39713 1456 7 get get VB 39713 1456 8 this this DT 39713 1456 9 satisfaction satisfaction NN 39713 1456 10 and and CC 39713 1456 11 why why WRB 39713 1456 12 is be VBZ 39713 1456 13 it -PRON- PRP 39713 1456 14 not not RB 39713 1456 15 content content JJ 39713 1456 16 with with IN 39713 1456 17 it -PRON- PRP 39713 1456 18 ? ? . 39713 1457 1 To to TO 39713 1457 2 account account VB 39713 1457 3 for for IN 39713 1457 4 this this DT 39713 1457 5 , , , 39713 1457 6 we -PRON- PRP 39713 1457 7 had have VBD 39713 1457 8 better well RBR 39713 1457 9 take take VB 39713 1457 10 a a DT 39713 1457 11 simple simple JJ 39713 1457 12 example example NN 39713 1457 13 . . . 39713 1458 1 I -PRON- PRP 39713 1458 2 suppose suppose VBP 39713 1458 3 a a DT 39713 1458 4 system system NN 39713 1458 5 analogous analogous JJ 39713 1458 6 to to IN 39713 1458 7 our -PRON- PRP$ 39713 1458 8 solar solar JJ 39713 1458 9 system system NN 39713 1458 10 , , , 39713 1458 11 but but CC 39713 1458 12 where where WRB 39713 1458 13 one one PRP 39713 1458 14 can can MD 39713 1458 15 not not RB 39713 1458 16 perceive perceive VB 39713 1458 17 fixed fixed JJ 39713 1458 18 stars star NNS 39713 1458 19 foreign foreign JJ 39713 1458 20 to to IN 39713 1458 21 this this DT 39713 1458 22 system system NN 39713 1458 23 , , , 39713 1458 24 so so IN 39713 1458 25 that that IN 39713 1458 26 astronomers astronomer NNS 39713 1458 27 can can MD 39713 1458 28 observe observe VB 39713 1458 29 only only RB 39713 1458 30 the the DT 39713 1458 31 mutual mutual JJ 39713 1458 32 distances distance NNS 39713 1458 33 of of IN 39713 1458 34 the the DT 39713 1458 35 planets planet NNS 39713 1458 36 and and CC 39713 1458 37 the the DT 39713 1458 38 sun sun NN 39713 1458 39 , , , 39713 1458 40 and and CC 39713 1458 41 not not RB 39713 1458 42 the the DT 39713 1458 43 absolute absolute JJ 39713 1458 44 longitudes longitude NNS 39713 1458 45 of of IN 39713 1458 46 the the DT 39713 1458 47 planets planet NNS 39713 1458 48 . . . 39713 1459 1 If if IN 39713 1459 2 we -PRON- PRP 39713 1459 3 deduce deduce VBP 39713 1459 4 directly directly RB 39713 1459 5 from from IN 39713 1459 6 Newton Newton NNP 39713 1459 7 's 's POS 39713 1459 8 law law NN 39713 1459 9 the the DT 39713 1459 10 differential differential NN 39713 1459 11 equations equation NNS 39713 1459 12 which which WDT 39713 1459 13 define define VBP 39713 1459 14 the the DT 39713 1459 15 variation variation NN 39713 1459 16 of of IN 39713 1459 17 these these DT 39713 1459 18 distances distance NNS 39713 1459 19 , , , 39713 1459 20 these these DT 39713 1459 21 equations equation NNS 39713 1459 22 will will MD 39713 1459 23 not not RB 39713 1459 24 be be VB 39713 1459 25 of of IN 39713 1459 26 the the DT 39713 1459 27 second second JJ 39713 1459 28 order order NN 39713 1459 29 . . . 39713 1460 1 I -PRON- PRP 39713 1460 2 mean mean VBP 39713 1460 3 that that IN 39713 1460 4 if if IN 39713 1460 5 , , , 39713 1460 6 besides besides IN 39713 1460 7 Newton Newton NNP 39713 1460 8 's 's POS 39713 1460 9 law law NN 39713 1460 10 , , , 39713 1460 11 one one CD 39713 1460 12 knew know VBD 39713 1460 13 the the DT 39713 1460 14 initial initial JJ 39713 1460 15 values value NNS 39713 1460 16 of of IN 39713 1460 17 these these DT 39713 1460 18 distances distance NNS 39713 1460 19 and and CC 39713 1460 20 of of IN 39713 1460 21 their -PRON- PRP$ 39713 1460 22 derivatives derivative NNS 39713 1460 23 with with IN 39713 1460 24 respect respect NN 39713 1460 25 to to IN 39713 1460 26 the the DT 39713 1460 27 time time NN 39713 1460 28 , , , 39713 1460 29 that that WDT 39713 1460 30 would would MD 39713 1460 31 not not RB 39713 1460 32 suffice suffice VB 39713 1460 33 to to TO 39713 1460 34 determine determine VB 39713 1460 35 the the DT 39713 1460 36 values value NNS 39713 1460 37 of of IN 39713 1460 38 these these DT 39713 1460 39 same same JJ 39713 1460 40 distances distance NNS 39713 1460 41 at at IN 39713 1460 42 a a DT 39713 1460 43 subsequent subsequent JJ 39713 1460 44 instant instant NN 39713 1460 45 . . . 39713 1461 1 There there EX 39713 1461 2 would would MD 39713 1461 3 still still RB 39713 1461 4 be be VB 39713 1461 5 lacking lack VBG 39713 1461 6 one one CD 39713 1461 7 datum datum NN 39713 1461 8 , , , 39713 1461 9 and and CC 39713 1461 10 this this DT 39713 1461 11 datum datum NN 39713 1461 12 might may MD 39713 1461 13 be be VB 39713 1461 14 for for IN 39713 1461 15 instance instance NN 39713 1461 16 what what WDT 39713 1461 17 astronomers astronomer NNS 39713 1461 18 call call VBP 39713 1461 19 the the DT 39713 1461 20 area area NN 39713 1461 21 - - HYPH 39713 1461 22 constant constant JJ 39713 1461 23 . . . 39713 1462 1 But but CC 39713 1462 2 here here RB 39713 1462 3 two two CD 39713 1462 4 different different JJ 39713 1462 5 points point NNS 39713 1462 6 of of IN 39713 1462 7 view view NN 39713 1462 8 may may MD 39713 1462 9 be be VB 39713 1462 10 taken take VBN 39713 1462 11 ; ; : 39713 1462 12 we -PRON- PRP 39713 1462 13 may may MD 39713 1462 14 distinguish distinguish VB 39713 1462 15 two two CD 39713 1462 16 sorts sort NNS 39713 1462 17 of of IN 39713 1462 18 constants constant NNS 39713 1462 19 . . . 39713 1463 1 To to IN 39713 1463 2 the the DT 39713 1463 3 eyes eye NNS 39713 1463 4 of of IN 39713 1463 5 the the DT 39713 1463 6 physicist physicist NN 39713 1463 7 the the DT 39713 1463 8 world world NN 39713 1463 9 reduces reduce VBZ 39713 1463 10 to to IN 39713 1463 11 a a DT 39713 1463 12 series series NN 39713 1463 13 of of IN 39713 1463 14 phenomena phenomenon NNS 39713 1463 15 , , , 39713 1463 16 depending depend VBG 39713 1463 17 , , , 39713 1463 18 on on IN 39713 1463 19 the the DT 39713 1463 20 one one CD 39713 1463 21 hand hand NN 39713 1463 22 , , , 39713 1463 23 solely solely RB 39713 1463 24 upon upon IN 39713 1463 25 the the DT 39713 1463 26 initial initial JJ 39713 1463 27 phenomena phenomenon NNS 39713 1463 28 ; ; : 39713 1463 29 on on IN 39713 1463 30 the the DT 39713 1463 31 other other JJ 39713 1463 32 hand hand NN 39713 1463 33 , , , 39713 1463 34 upon upon IN 39713 1463 35 the the DT 39713 1463 36 laws law NNS 39713 1463 37 which which WDT 39713 1463 38 bind bind VBP 39713 1463 39 the the DT 39713 1463 40 consequents consequent NNS 39713 1463 41 to to IN 39713 1463 42 the the DT 39713 1463 43 antecedents antecedent NNS 39713 1463 44 . . . 39713 1464 1 If if IN 39713 1464 2 then then RB 39713 1464 3 observation observation NN 39713 1464 4 teaches teach VBZ 39713 1464 5 us -PRON- PRP 39713 1464 6 that that IN 39713 1464 7 a a DT 39713 1464 8 certain certain JJ 39713 1464 9 quantity quantity NN 39713 1464 10 is be VBZ 39713 1464 11 a a DT 39713 1464 12 constant constant JJ 39713 1464 13 , , , 39713 1464 14 we -PRON- PRP 39713 1464 15 shall shall MD 39713 1464 16 have have VB 39713 1464 17 the the DT 39713 1464 18 choice choice NN 39713 1464 19 between between IN 39713 1464 20 two two CD 39713 1464 21 conceptions conception NNS 39713 1464 22 . . . 39713 1465 1 Either either CC 39713 1465 2 we -PRON- PRP 39713 1465 3 shall shall MD 39713 1465 4 assume assume VB 39713 1465 5 that that IN 39713 1465 6 there there EX 39713 1465 7 is be VBZ 39713 1465 8 a a DT 39713 1465 9 law law NN 39713 1465 10 requiring require VBG 39713 1465 11 this this DT 39713 1465 12 quantity quantity NN 39713 1465 13 not not RB 39713 1465 14 to to TO 39713 1465 15 vary vary VB 39713 1465 16 , , , 39713 1465 17 but but CC 39713 1465 18 that that IN 39713 1465 19 by by IN 39713 1465 20 chance chance NN 39713 1465 21 , , , 39713 1465 22 at at IN 39713 1465 23 the the DT 39713 1465 24 beginning beginning NN 39713 1465 25 of of IN 39713 1465 26 the the DT 39713 1465 27 ages age NNS 39713 1465 28 , , , 39713 1465 29 it -PRON- PRP 39713 1465 30 had have VBD 39713 1465 31 , , , 39713 1465 32 rather rather RB 39713 1465 33 than than IN 39713 1465 34 another another DT 39713 1465 35 , , , 39713 1465 36 this this DT 39713 1465 37 value value NN 39713 1465 38 it -PRON- PRP 39713 1465 39 has have VBZ 39713 1465 40 been be VBN 39713 1465 41 forced force VBN 39713 1465 42 to to TO 39713 1465 43 keep keep VB 39713 1465 44 ever ever RB 39713 1465 45 since since RB 39713 1465 46 . . . 39713 1466 1 This this DT 39713 1466 2 quantity quantity NN 39713 1466 3 might may MD 39713 1466 4 then then RB 39713 1466 5 be be VB 39713 1466 6 called call VBN 39713 1466 7 an an DT 39713 1466 8 _ _ NNP 39713 1466 9 accidental accidental JJ 39713 1466 10 _ _ NNP 39713 1466 11 constant constant NN 39713 1466 12 . . . 39713 1467 1 Or or CC 39713 1467 2 else else RB 39713 1467 3 we -PRON- PRP 39713 1467 4 shall shall MD 39713 1467 5 assume assume VB 39713 1467 6 , , , 39713 1467 7 on on IN 39713 1467 8 the the DT 39713 1467 9 contrary contrary NN 39713 1467 10 , , , 39713 1467 11 that that IN 39713 1467 12 there there EX 39713 1467 13 is be VBZ 39713 1467 14 a a DT 39713 1467 15 law law NN 39713 1467 16 of of IN 39713 1467 17 nature nature NN 39713 1467 18 which which WDT 39713 1467 19 imposes impose VBZ 39713 1467 20 upon upon IN 39713 1467 21 this this DT 39713 1467 22 quantity quantity NN 39713 1467 23 such such PDT 39713 1467 24 a a DT 39713 1467 25 value value NN 39713 1467 26 and and CC 39713 1467 27 not not RB 39713 1467 28 such such PDT 39713 1467 29 another another DT 39713 1467 30 . . . 39713 1468 1 We -PRON- PRP 39713 1468 2 shall shall MD 39713 1468 3 then then RB 39713 1468 4 have have VB 39713 1468 5 what what WP 39713 1468 6 we -PRON- PRP 39713 1468 7 may may MD 39713 1468 8 call call VB 39713 1468 9 an an DT 39713 1468 10 _ _ NNP 39713 1468 11 essential essential JJ 39713 1468 12 _ _ NNP 39713 1468 13 constant constant NN 39713 1468 14 . . . 39713 1469 1 For for IN 39713 1469 2 example example NN 39713 1469 3 , , , 39713 1469 4 in in IN 39713 1469 5 virtue virtue NN 39713 1469 6 of of IN 39713 1469 7 Newton Newton NNP 39713 1469 8 's 's POS 39713 1469 9 laws law NNS 39713 1469 10 , , , 39713 1469 11 the the DT 39713 1469 12 duration duration NN 39713 1469 13 of of IN 39713 1469 14 the the DT 39713 1469 15 revolution revolution NN 39713 1469 16 of of IN 39713 1469 17 the the DT 39713 1469 18 earth earth NN 39713 1469 19 must must MD 39713 1469 20 be be VB 39713 1469 21 constant constant JJ 39713 1469 22 . . . 39713 1470 1 But but CC 39713 1470 2 if if IN 39713 1470 3 it -PRON- PRP 39713 1470 4 is be VBZ 39713 1470 5 366 366 CD 39713 1470 6 sidereal sidereal JJ 39713 1470 7 days day NNS 39713 1470 8 and and CC 39713 1470 9 something something NN 39713 1470 10 over over IN 39713 1470 11 , , , 39713 1470 12 and and CC 39713 1470 13 not not RB 39713 1470 14 300 300 CD 39713 1470 15 or or CC 39713 1470 16 400 400 CD 39713 1470 17 , , , 39713 1470 18 this this DT 39713 1470 19 is be VBZ 39713 1470 20 in in IN 39713 1470 21 consequence consequence NN 39713 1470 22 of of IN 39713 1470 23 I -PRON- PRP 39713 1470 24 know know VBP 39713 1470 25 not not RB 39713 1470 26 what what WP 39713 1470 27 initial initial JJ 39713 1470 28 chance chance NN 39713 1470 29 . . . 39713 1471 1 This this DT 39713 1471 2 is be VBZ 39713 1471 3 an an DT 39713 1471 4 accidental accidental JJ 39713 1471 5 constant constant NN 39713 1471 6 . . . 39713 1472 1 If if IN 39713 1472 2 , , , 39713 1472 3 on on IN 39713 1472 4 the the DT 39713 1472 5 contrary contrary NN 39713 1472 6 , , , 39713 1472 7 the the DT 39713 1472 8 exponent exponent NN 39713 1472 9 of of IN 39713 1472 10 the the DT 39713 1472 11 distance distance NN 39713 1472 12 which which WDT 39713 1472 13 figures figure VBZ 39713 1472 14 in in IN 39713 1472 15 the the DT 39713 1472 16 expression expression NN 39713 1472 17 of of IN 39713 1472 18 the the DT 39713 1472 19 attractive attractive JJ 39713 1472 20 force force NN 39713 1472 21 is be VBZ 39713 1472 22 equal equal JJ 39713 1472 23 to to IN 39713 1472 24 -2 -2 : 39713 1472 25 and and CC 39713 1472 26 not not RB 39713 1472 27 to to TO 39713 1472 28 -3 -3 . 39713 1472 29 , , , 39713 1472 30 this this DT 39713 1472 31 is be VBZ 39713 1472 32 not not RB 39713 1472 33 by by IN 39713 1472 34 chance chance NN 39713 1472 35 , , , 39713 1472 36 but but CC 39713 1472 37 because because IN 39713 1472 38 Newton Newton NNP 39713 1472 39 's 's POS 39713 1472 40 law law NN 39713 1472 41 requires require VBZ 39713 1472 42 it -PRON- PRP 39713 1472 43 . . . 39713 1473 1 This this DT 39713 1473 2 is be VBZ 39713 1473 3 an an DT 39713 1473 4 essential essential JJ 39713 1473 5 constant constant NN 39713 1473 6 . . . 39713 1474 1 I -PRON- PRP 39713 1474 2 know know VBP 39713 1474 3 not not RB 39713 1474 4 whether whether IN 39713 1474 5 this this DT 39713 1474 6 way way NN 39713 1474 7 of of IN 39713 1474 8 giving give VBG 39713 1474 9 chance chance NN 39713 1474 10 its -PRON- PRP$ 39713 1474 11 part part NN 39713 1474 12 is be VBZ 39713 1474 13 legitimate legitimate JJ 39713 1474 14 in in IN 39713 1474 15 itself -PRON- PRP 39713 1474 16 , , , 39713 1474 17 and and CC 39713 1474 18 whether whether IN 39713 1474 19 this this DT 39713 1474 20 distinction distinction NN 39713 1474 21 is be VBZ 39713 1474 22 not not RB 39713 1474 23 somewhat somewhat RB 39713 1474 24 artificial artificial JJ 39713 1474 25 ; ; : 39713 1474 26 it -PRON- PRP 39713 1474 27 is be VBZ 39713 1474 28 certain certain JJ 39713 1474 29 at at IN 39713 1474 30 least least JJS 39713 1474 31 that that DT 39713 1474 32 , , , 39713 1474 33 so so RB 39713 1474 34 long long RB 39713 1474 35 as as IN 39713 1474 36 nature nature NN 39713 1474 37 shall shall MD 39713 1474 38 have have VB 39713 1474 39 secrets secret NNS 39713 1474 40 , , , 39713 1474 41 this this DT 39713 1474 42 distinction distinction NN 39713 1474 43 will will MD 39713 1474 44 be be VB 39713 1474 45 in in IN 39713 1474 46 application application NN 39713 1474 47 extremely extremely RB 39713 1474 48 arbitrary arbitrary JJ 39713 1474 49 and and CC 39713 1474 50 always always RB 39713 1474 51 precarious precarious JJ 39713 1474 52 . . . 39713 1475 1 As as IN 39713 1475 2 to to IN 39713 1475 3 the the DT 39713 1475 4 area area NN 39713 1475 5 - - HYPH 39713 1475 6 constant constant JJ 39713 1475 7 , , , 39713 1475 8 we -PRON- PRP 39713 1475 9 are be VBP 39713 1475 10 accustomed accustomed JJ 39713 1475 11 to to TO 39713 1475 12 regard regard VB 39713 1475 13 it -PRON- PRP 39713 1475 14 as as IN 39713 1475 15 accidental accidental JJ 39713 1475 16 . . . 39713 1476 1 Is be VBZ 39713 1476 2 it -PRON- PRP 39713 1476 3 certain certain JJ 39713 1476 4 our -PRON- PRP$ 39713 1476 5 imaginary imaginary JJ 39713 1476 6 astronomers astronomer NNS 39713 1476 7 would would MD 39713 1476 8 do do VB 39713 1476 9 the the DT 39713 1476 10 same same JJ 39713 1476 11 ? ? . 39713 1477 1 If if IN 39713 1477 2 they -PRON- PRP 39713 1477 3 could could MD 39713 1477 4 have have VB 39713 1477 5 compared compare VBN 39713 1477 6 two two CD 39713 1477 7 different different JJ 39713 1477 8 solar solar JJ 39713 1477 9 systems system NNS 39713 1477 10 , , , 39713 1477 11 they -PRON- PRP 39713 1477 12 would would MD 39713 1477 13 have have VB 39713 1477 14 the the DT 39713 1477 15 idea idea NN 39713 1477 16 that that IN 39713 1477 17 this this DT 39713 1477 18 constant constant NN 39713 1477 19 may may MD 39713 1477 20 have have VB 39713 1477 21 several several JJ 39713 1477 22 different different JJ 39713 1477 23 values value NNS 39713 1477 24 ; ; : 39713 1477 25 but but CC 39713 1477 26 my -PRON- PRP$ 39713 1477 27 very very JJ 39713 1477 28 supposition supposition NN 39713 1477 29 in in IN 39713 1477 30 the the DT 39713 1477 31 beginning beginning NN 39713 1477 32 was be VBD 39713 1477 33 that that IN 39713 1477 34 their -PRON- PRP$ 39713 1477 35 system system NN 39713 1477 36 should should MD 39713 1477 37 appear appear VB 39713 1477 38 as as IN 39713 1477 39 isolated isolate VBN 39713 1477 40 , , , 39713 1477 41 and and CC 39713 1477 42 that that IN 39713 1477 43 they -PRON- PRP 39713 1477 44 should should MD 39713 1477 45 observe observe VB 39713 1477 46 no no DT 39713 1477 47 star star NN 39713 1477 48 foreign foreign JJ 39713 1477 49 to to IN 39713 1477 50 it -PRON- PRP 39713 1477 51 . . . 39713 1478 1 Under under IN 39713 1478 2 these these DT 39713 1478 3 conditions condition NNS 39713 1478 4 , , , 39713 1478 5 they -PRON- PRP 39713 1478 6 would would MD 39713 1478 7 see see VB 39713 1478 8 only only RB 39713 1478 9 one one CD 39713 1478 10 single single JJ 39713 1478 11 constant constant NN 39713 1478 12 which which WDT 39713 1478 13 would would MD 39713 1478 14 have have VB 39713 1478 15 a a DT 39713 1478 16 single single JJ 39713 1478 17 value value NN 39713 1478 18 absolutely absolutely RB 39713 1478 19 invariable invariable JJ 39713 1478 20 ; ; : 39713 1478 21 they -PRON- PRP 39713 1478 22 would would MD 39713 1478 23 be be VB 39713 1478 24 led lead VBN 39713 1478 25 without without IN 39713 1478 26 any any DT 39713 1478 27 doubt doubt NN 39713 1478 28 to to TO 39713 1478 29 regard regard VB 39713 1478 30 it -PRON- PRP 39713 1478 31 as as IN 39713 1478 32 an an DT 39713 1478 33 essential essential JJ 39713 1478 34 constant constant NN 39713 1478 35 . . . 39713 1479 1 A a DT 39713 1479 2 word word NN 39713 1479 3 in in IN 39713 1479 4 passing pass VBG 39713 1479 5 to to TO 39713 1479 6 forestall forestall VB 39713 1479 7 an an DT 39713 1479 8 objection objection NN 39713 1479 9 : : : 39713 1479 10 the the DT 39713 1479 11 inhabitants inhabitant NNS 39713 1479 12 of of IN 39713 1479 13 this this DT 39713 1479 14 imaginary imaginary JJ 39713 1479 15 world world NN 39713 1479 16 could could MD 39713 1479 17 neither neither CC 39713 1479 18 observe observe VB 39713 1479 19 nor nor CC 39713 1479 20 define define VB 39713 1479 21 the the DT 39713 1479 22 area area NN 39713 1479 23 - - HYPH 39713 1479 24 constant constant JJ 39713 1479 25 as as IN 39713 1479 26 we -PRON- PRP 39713 1479 27 do do VBP 39713 1479 28 , , , 39713 1479 29 since since IN 39713 1479 30 the the DT 39713 1479 31 absolute absolute JJ 39713 1479 32 longitudes longitude NNS 39713 1479 33 escape escape VBP 39713 1479 34 them -PRON- PRP 39713 1479 35 ; ; : 39713 1479 36 that that DT 39713 1479 37 would would MD 39713 1479 38 not not RB 39713 1479 39 preclude preclude VB 39713 1479 40 their -PRON- PRP$ 39713 1479 41 being being NN 39713 1479 42 quickly quickly RB 39713 1479 43 led lead VBN 39713 1479 44 to to TO 39713 1479 45 notice notice VB 39713 1479 46 a a DT 39713 1479 47 certain certain JJ 39713 1479 48 constant constant JJ 39713 1479 49 which which WDT 39713 1479 50 would would MD 39713 1479 51 introduce introduce VB 39713 1479 52 itself -PRON- PRP 39713 1479 53 naturally naturally RB 39713 1479 54 into into IN 39713 1479 55 their -PRON- PRP$ 39713 1479 56 equations equation NNS 39713 1479 57 and and CC 39713 1479 58 which which WDT 39713 1479 59 would would MD 39713 1479 60 be be VB 39713 1479 61 nothing nothing NN 39713 1479 62 but but IN 39713 1479 63 what what WP 39713 1479 64 we -PRON- PRP 39713 1479 65 call call VBP 39713 1479 66 the the DT 39713 1479 67 area area NN 39713 1479 68 - - HYPH 39713 1479 69 constant constant JJ 39713 1479 70 . . . 39713 1480 1 But but CC 39713 1480 2 then then RB 39713 1480 3 see see VB 39713 1480 4 what what WP 39713 1480 5 would would MD 39713 1480 6 happen happen VB 39713 1480 7 . . . 39713 1481 1 If if IN 39713 1481 2 the the DT 39713 1481 3 area area NN 39713 1481 4 - - HYPH 39713 1481 5 constant constant JJ 39713 1481 6 is be VBZ 39713 1481 7 regarded regard VBN 39713 1481 8 as as IN 39713 1481 9 essential essential JJ 39713 1481 10 , , , 39713 1481 11 as as IN 39713 1481 12 depending depend VBG 39713 1481 13 upon upon IN 39713 1481 14 a a DT 39713 1481 15 law law NN 39713 1481 16 of of IN 39713 1481 17 nature nature NN 39713 1481 18 , , , 39713 1481 19 to to TO 39713 1481 20 calculate calculate VB 39713 1481 21 the the DT 39713 1481 22 distances distance NNS 39713 1481 23 of of IN 39713 1481 24 the the DT 39713 1481 25 planets planet NNS 39713 1481 26 at at IN 39713 1481 27 any any DT 39713 1481 28 instant instant NN 39713 1481 29 it -PRON- PRP 39713 1481 30 will will MD 39713 1481 31 suffice suffice VB 39713 1481 32 to to TO 39713 1481 33 know know VB 39713 1481 34 the the DT 39713 1481 35 initial initial JJ 39713 1481 36 values value NNS 39713 1481 37 of of IN 39713 1481 38 these these DT 39713 1481 39 distances distance NNS 39713 1481 40 and and CC 39713 1481 41 those those DT 39713 1481 42 of of IN 39713 1481 43 their -PRON- PRP$ 39713 1481 44 first first JJ 39713 1481 45 derivatives derivative NNS 39713 1481 46 . . . 39713 1482 1 From from IN 39713 1482 2 this this DT 39713 1482 3 new new JJ 39713 1482 4 point point NN 39713 1482 5 of of IN 39713 1482 6 view view NN 39713 1482 7 , , , 39713 1482 8 the the DT 39713 1482 9 distances distance NNS 39713 1482 10 will will MD 39713 1482 11 be be VB 39713 1482 12 determined determine VBN 39713 1482 13 by by IN 39713 1482 14 differential differential JJ 39713 1482 15 equations equation NNS 39713 1482 16 of of IN 39713 1482 17 the the DT 39713 1482 18 second second JJ 39713 1482 19 order order NN 39713 1482 20 . . . 39713 1483 1 Yet yet CC 39713 1483 2 would would MD 39713 1483 3 the the DT 39713 1483 4 mind mind NN 39713 1483 5 of of IN 39713 1483 6 these these DT 39713 1483 7 astronomers astronomer NNS 39713 1483 8 be be VB 39713 1483 9 completely completely RB 39713 1483 10 satisfied satisfied JJ 39713 1483 11 ? ? . 39713 1484 1 I -PRON- PRP 39713 1484 2 do do VBP 39713 1484 3 not not RB 39713 1484 4 believe believe VB 39713 1484 5 so so RB 39713 1484 6 ; ; : 39713 1484 7 first first LS 39713 1484 8 , , , 39713 1484 9 they -PRON- PRP 39713 1484 10 would would MD 39713 1484 11 soon soon RB 39713 1484 12 perceive perceive VB 39713 1484 13 that that IN 39713 1484 14 in in IN 39713 1484 15 differentiating differentiate VBG 39713 1484 16 their -PRON- PRP$ 39713 1484 17 equations equation NNS 39713 1484 18 and and CC 39713 1484 19 thus thus RB 39713 1484 20 raising raise VBG 39713 1484 21 their -PRON- PRP$ 39713 1484 22 order order NN 39713 1484 23 , , , 39713 1484 24 these these DT 39713 1484 25 equations equation NNS 39713 1484 26 became become VBD 39713 1484 27 much much RB 39713 1484 28 simpler simple JJR 39713 1484 29 . . . 39713 1485 1 And and CC 39713 1485 2 above above IN 39713 1485 3 all all DT 39713 1485 4 they -PRON- PRP 39713 1485 5 would would MD 39713 1485 6 be be VB 39713 1485 7 struck strike VBN 39713 1485 8 by by IN 39713 1485 9 the the DT 39713 1485 10 difficulty difficulty NN 39713 1485 11 which which WDT 39713 1485 12 comes come VBZ 39713 1485 13 from from IN 39713 1485 14 symmetry symmetry NN 39713 1485 15 . . . 39713 1486 1 It -PRON- PRP 39713 1486 2 would would MD 39713 1486 3 be be VB 39713 1486 4 necessary necessary JJ 39713 1486 5 to to TO 39713 1486 6 assume assume VB 39713 1486 7 different different JJ 39713 1486 8 laws law NNS 39713 1486 9 , , , 39713 1486 10 according accord VBG 39713 1486 11 as as IN 39713 1486 12 the the DT 39713 1486 13 aggregate aggregate NN 39713 1486 14 of of IN 39713 1486 15 the the DT 39713 1486 16 planets planet NNS 39713 1486 17 presented present VBD 39713 1486 18 the the DT 39713 1486 19 figure figure NN 39713 1486 20 of of IN 39713 1486 21 a a DT 39713 1486 22 certain certain JJ 39713 1486 23 polyhedron polyhedron NN 39713 1486 24 or or CC 39713 1486 25 of of IN 39713 1486 26 the the DT 39713 1486 27 symmetric symmetric JJ 39713 1486 28 polyhedron polyhedron NN 39713 1486 29 , , , 39713 1486 30 and and CC 39713 1486 31 one one PRP 39713 1486 32 would would MD 39713 1486 33 escape escape VB 39713 1486 34 from from IN 39713 1486 35 this this DT 39713 1486 36 consequence consequence NN 39713 1486 37 only only RB 39713 1486 38 by by IN 39713 1486 39 regarding regard VBG 39713 1486 40 the the DT 39713 1486 41 area area NN 39713 1486 42 - - HYPH 39713 1486 43 constant constant JJ 39713 1486 44 as as IN 39713 1486 45 accidental accidental JJ 39713 1486 46 . . . 39713 1487 1 I -PRON- PRP 39713 1487 2 have have VBP 39713 1487 3 taken take VBN 39713 1487 4 a a DT 39713 1487 5 very very RB 39713 1487 6 special special JJ 39713 1487 7 example example NN 39713 1487 8 , , , 39713 1487 9 since since IN 39713 1487 10 I -PRON- PRP 39713 1487 11 have have VBP 39713 1487 12 supposed suppose VBN 39713 1487 13 astronomers astronomer NNS 39713 1487 14 who who WP 39713 1487 15 did do VBD 39713 1487 16 not not RB 39713 1487 17 at at RB 39713 1487 18 all all RB 39713 1487 19 consider consider VB 39713 1487 20 terrestrial terrestrial JJ 39713 1487 21 mechanics mechanic NNS 39713 1487 22 , , , 39713 1487 23 and and CC 39713 1487 24 whose whose WP$ 39713 1487 25 view view NN 39713 1487 26 was be VBD 39713 1487 27 limited limit VBN 39713 1487 28 to to IN 39713 1487 29 the the DT 39713 1487 30 solar solar JJ 39713 1487 31 system system NN 39713 1487 32 . . . 39713 1488 1 Our -PRON- PRP$ 39713 1488 2 universe universe NN 39713 1488 3 is be VBZ 39713 1488 4 more more RBR 39713 1488 5 extended extended JJ 39713 1488 6 than than IN 39713 1488 7 theirs -PRON- PRP 39713 1488 8 , , , 39713 1488 9 as as IN 39713 1488 10 we -PRON- PRP 39713 1488 11 have have VBP 39713 1488 12 fixed fix VBN 39713 1488 13 stars star NNS 39713 1488 14 , , , 39713 1488 15 but but CC 39713 1488 16 still still RB 39713 1488 17 it -PRON- PRP 39713 1488 18 too too RB 39713 1488 19 is be VBZ 39713 1488 20 limited limited JJ 39713 1488 21 , , , 39713 1488 22 and and CC 39713 1488 23 so so RB 39713 1488 24 we -PRON- PRP 39713 1488 25 might may MD 39713 1488 26 reason reason VB 39713 1488 27 on on IN 39713 1488 28 the the DT 39713 1488 29 totality totality NN 39713 1488 30 of of IN 39713 1488 31 our -PRON- PRP$ 39713 1488 32 universe universe NN 39713 1488 33 as as IN 39713 1488 34 the the DT 39713 1488 35 astronomers astronomer NNS 39713 1488 36 on on IN 39713 1488 37 their -PRON- PRP$ 39713 1488 38 solar solar JJ 39713 1488 39 system system NN 39713 1488 40 . . . 39713 1489 1 Thus thus RB 39713 1489 2 we -PRON- PRP 39713 1489 3 see see VBP 39713 1489 4 that that IN 39713 1489 5 finally finally RB 39713 1489 6 we -PRON- PRP 39713 1489 7 should should MD 39713 1489 8 be be VB 39713 1489 9 led lead VBN 39713 1489 10 to to TO 39713 1489 11 conclude conclude VB 39713 1489 12 that that IN 39713 1489 13 the the DT 39713 1489 14 equations equation NNS 39713 1489 15 which which WDT 39713 1489 16 define define VBP 39713 1489 17 distances distance NNS 39713 1489 18 are be VBP 39713 1489 19 of of IN 39713 1489 20 an an DT 39713 1489 21 order order NN 39713 1489 22 superior superior JJ 39713 1489 23 to to IN 39713 1489 24 the the DT 39713 1489 25 second second JJ 39713 1489 26 . . . 39713 1490 1 Why why WRB 39713 1490 2 should should MD 39713 1490 3 we -PRON- PRP 39713 1490 4 be be VB 39713 1490 5 shocked shock VBN 39713 1490 6 at at IN 39713 1490 7 that that DT 39713 1490 8 , , , 39713 1490 9 why why WRB 39713 1490 10 do do VBP 39713 1490 11 we -PRON- PRP 39713 1490 12 find find VB 39713 1490 13 it -PRON- PRP 39713 1490 14 perfectly perfectly RB 39713 1490 15 natural natural JJ 39713 1490 16 for for IN 39713 1490 17 the the DT 39713 1490 18 series series NN 39713 1490 19 of of IN 39713 1490 20 phenomena phenomenon NNS 39713 1490 21 to to TO 39713 1490 22 depend depend VB 39713 1490 23 upon upon IN 39713 1490 24 the the DT 39713 1490 25 initial initial JJ 39713 1490 26 values value NNS 39713 1490 27 of of IN 39713 1490 28 the the DT 39713 1490 29 first first JJ 39713 1490 30 derivatives derivative NNS 39713 1490 31 of of IN 39713 1490 32 these these DT 39713 1490 33 distances distance NNS 39713 1490 34 , , , 39713 1490 35 while while IN 39713 1490 36 we -PRON- PRP 39713 1490 37 hesitate hesitate VBP 39713 1490 38 to to TO 39713 1490 39 admit admit VB 39713 1490 40 that that IN 39713 1490 41 they -PRON- PRP 39713 1490 42 may may MD 39713 1490 43 depend depend VB 39713 1490 44 on on IN 39713 1490 45 the the DT 39713 1490 46 initial initial JJ 39713 1490 47 values value NNS 39713 1490 48 of of IN 39713 1490 49 the the DT 39713 1490 50 second second JJ 39713 1490 51 derivatives derivative NNS 39713 1490 52 ? ? . 39713 1491 1 This this DT 39713 1491 2 can can MD 39713 1491 3 only only RB 39713 1491 4 be be VB 39713 1491 5 because because IN 39713 1491 6 of of IN 39713 1491 7 the the DT 39713 1491 8 habits habit NNS 39713 1491 9 of of IN 39713 1491 10 mind mind NN 39713 1491 11 created create VBN 39713 1491 12 in in IN 39713 1491 13 us -PRON- PRP 39713 1491 14 by by IN 39713 1491 15 the the DT 39713 1491 16 constant constant JJ 39713 1491 17 study study NN 39713 1491 18 of of IN 39713 1491 19 the the DT 39713 1491 20 generalized generalize VBN 39713 1491 21 principle principle NN 39713 1491 22 of of IN 39713 1491 23 inertia inertia NN 39713 1491 24 and and CC 39713 1491 25 its -PRON- PRP$ 39713 1491 26 consequences consequence NNS 39713 1491 27 . . . 39713 1492 1 The the DT 39713 1492 2 values value NNS 39713 1492 3 of of IN 39713 1492 4 the the DT 39713 1492 5 distances distance NNS 39713 1492 6 at at IN 39713 1492 7 any any DT 39713 1492 8 instant instant NN 39713 1492 9 depend depend VB 39713 1492 10 upon upon IN 39713 1492 11 their -PRON- PRP$ 39713 1492 12 initial initial JJ 39713 1492 13 values value NNS 39713 1492 14 , , , 39713 1492 15 upon upon IN 39713 1492 16 those those DT 39713 1492 17 of of IN 39713 1492 18 their -PRON- PRP$ 39713 1492 19 first first JJ 39713 1492 20 derivatives derivative NNS 39713 1492 21 and and CC 39713 1492 22 also also RB 39713 1492 23 upon upon IN 39713 1492 24 something something NN 39713 1492 25 else else RB 39713 1492 26 . . . 39713 1493 1 What what WP 39713 1493 2 is be VBZ 39713 1493 3 this this DT 39713 1493 4 _ _ NNP 39713 1493 5 something something NN 39713 1493 6 else else RB 39713 1493 7 _ _ NNP 39713 1493 8 ? ? . 39713 1494 1 If if IN 39713 1494 2 we -PRON- PRP 39713 1494 3 will will MD 39713 1494 4 not not RB 39713 1494 5 admit admit VB 39713 1494 6 that that IN 39713 1494 7 this this DT 39713 1494 8 may may MD 39713 1494 9 be be VB 39713 1494 10 simply simply RB 39713 1494 11 one one CD 39713 1494 12 of of IN 39713 1494 13 the the DT 39713 1494 14 second second JJ 39713 1494 15 derivatives derivative NNS 39713 1494 16 , , , 39713 1494 17 we -PRON- PRP 39713 1494 18 have have VBP 39713 1494 19 only only RB 39713 1494 20 the the DT 39713 1494 21 choice choice NN 39713 1494 22 of of IN 39713 1494 23 hypotheses hypothesis NNS 39713 1494 24 . . . 39713 1495 1 Either either CC 39713 1495 2 it -PRON- PRP 39713 1495 3 may may MD 39713 1495 4 be be VB 39713 1495 5 supposed suppose VBN 39713 1495 6 , , , 39713 1495 7 as as IN 39713 1495 8 is be VBZ 39713 1495 9 ordinarily ordinarily RB 39713 1495 10 done do VBN 39713 1495 11 , , , 39713 1495 12 that that IN 39713 1495 13 this this DT 39713 1495 14 something something NN 39713 1495 15 else else RB 39713 1495 16 is be VBZ 39713 1495 17 the the DT 39713 1495 18 absolute absolute JJ 39713 1495 19 orientation orientation NN 39713 1495 20 of of IN 39713 1495 21 the the DT 39713 1495 22 universe universe NN 39713 1495 23 in in IN 39713 1495 24 space space NN 39713 1495 25 , , , 39713 1495 26 or or CC 39713 1495 27 the the DT 39713 1495 28 rapidity rapidity NN 39713 1495 29 with with IN 39713 1495 30 which which WDT 39713 1495 31 this this DT 39713 1495 32 orientation orientation NN 39713 1495 33 varies vary VBZ 39713 1495 34 ; ; , 39713 1495 35 and and CC 39713 1495 36 this this DT 39713 1495 37 supposition supposition NN 39713 1495 38 may may MD 39713 1495 39 be be VB 39713 1495 40 correct correct JJ 39713 1495 41 ; ; : 39713 1495 42 it -PRON- PRP 39713 1495 43 is be VBZ 39713 1495 44 certainly certainly RB 39713 1495 45 the the DT 39713 1495 46 most most RBS 39713 1495 47 convenient convenient JJ 39713 1495 48 solution solution NN 39713 1495 49 for for IN 39713 1495 50 geometry geometry NN 39713 1495 51 ; ; : 39713 1495 52 it -PRON- PRP 39713 1495 53 is be VBZ 39713 1495 54 not not RB 39713 1495 55 the the DT 39713 1495 56 most most RBS 39713 1495 57 satisfactory satisfactory JJ 39713 1495 58 for for IN 39713 1495 59 the the DT 39713 1495 60 philosopher philosopher NN 39713 1495 61 , , , 39713 1495 62 because because IN 39713 1495 63 this this DT 39713 1495 64 orientation orientation NN 39713 1495 65 does do VBZ 39713 1495 66 not not RB 39713 1495 67 exist exist VB 39713 1495 68 . . . 39713 1496 1 Or or CC 39713 1496 2 it -PRON- PRP 39713 1496 3 may may MD 39713 1496 4 be be VB 39713 1496 5 supposed suppose VBN 39713 1496 6 that that IN 39713 1496 7 this this DT 39713 1496 8 something something NN 39713 1496 9 else else RB 39713 1496 10 is be VBZ 39713 1496 11 the the DT 39713 1496 12 position position NN 39713 1496 13 or or CC 39713 1496 14 the the DT 39713 1496 15 velocity velocity NN 39713 1496 16 of of IN 39713 1496 17 some some DT 39713 1496 18 invisible invisible JJ 39713 1496 19 body body NN 39713 1496 20 ; ; : 39713 1496 21 this this DT 39713 1496 22 has have VBZ 39713 1496 23 been be VBN 39713 1496 24 done do VBN 39713 1496 25 by by IN 39713 1496 26 certain certain JJ 39713 1496 27 persons person NNS 39713 1496 28 who who WP 39713 1496 29 have have VBP 39713 1496 30 even even RB 39713 1496 31 called call VBN 39713 1496 32 it -PRON- PRP 39713 1496 33 the the DT 39713 1496 34 body body NN 39713 1496 35 alpha alpha NN 39713 1496 36 , , , 39713 1496 37 although although IN 39713 1496 38 we -PRON- PRP 39713 1496 39 are be VBP 39713 1496 40 doomed doom VBN 39713 1496 41 never never RB 39713 1496 42 to to TO 39713 1496 43 know know VB 39713 1496 44 anything anything NN 39713 1496 45 of of IN 39713 1496 46 this this DT 39713 1496 47 body body NN 39713 1496 48 but but CC 39713 1496 49 its -PRON- PRP$ 39713 1496 50 name name NN 39713 1496 51 . . . 39713 1497 1 This this DT 39713 1497 2 is be VBZ 39713 1497 3 an an DT 39713 1497 4 artifice artifice NN 39713 1497 5 entirely entirely RB 39713 1497 6 analogous analogous JJ 39713 1497 7 to to IN 39713 1497 8 that that DT 39713 1497 9 of of IN 39713 1497 10 which which WDT 39713 1497 11 I -PRON- PRP 39713 1497 12 spoke speak VBD 39713 1497 13 at at IN 39713 1497 14 the the DT 39713 1497 15 end end NN 39713 1497 16 of of IN 39713 1497 17 the the DT 39713 1497 18 paragraph paragraph NN 39713 1497 19 devoted devote VBN 39713 1497 20 to to IN 39713 1497 21 my -PRON- PRP$ 39713 1497 22 reflections reflection NNS 39713 1497 23 on on IN 39713 1497 24 the the DT 39713 1497 25 principle principle NN 39713 1497 26 of of IN 39713 1497 27 inertia inertia NN 39713 1497 28 . . . 39713 1498 1 But but CC 39713 1498 2 , , , 39713 1498 3 after after RB 39713 1498 4 all all RB 39713 1498 5 , , , 39713 1498 6 the the DT 39713 1498 7 difficulty difficulty NN 39713 1498 8 is be VBZ 39713 1498 9 artificial artificial JJ 39713 1498 10 . . . 39713 1499 1 Provided provide VBN 39713 1499 2 the the DT 39713 1499 3 future future JJ 39713 1499 4 indications indication NNS 39713 1499 5 of of IN 39713 1499 6 our -PRON- PRP$ 39713 1499 7 instruments instrument NNS 39713 1499 8 can can MD 39713 1499 9 depend depend VB 39713 1499 10 only only RB 39713 1499 11 on on IN 39713 1499 12 the the DT 39713 1499 13 indications indication NNS 39713 1499 14 they -PRON- PRP 39713 1499 15 have have VBP 39713 1499 16 given give VBN 39713 1499 17 us -PRON- PRP 39713 1499 18 or or CC 39713 1499 19 would would MD 39713 1499 20 have have VB 39713 1499 21 given give VBN 39713 1499 22 us -PRON- PRP 39713 1499 23 formerly formerly RB 39713 1499 24 , , , 39713 1499 25 this this DT 39713 1499 26 is be VBZ 39713 1499 27 all all DT 39713 1499 28 that that WDT 39713 1499 29 is be VBZ 39713 1499 30 necessary necessary JJ 39713 1499 31 . . . 39713 1500 1 Now now RB 39713 1500 2 as as IN 39713 1500 3 to to IN 39713 1500 4 this this DT 39713 1500 5 we -PRON- PRP 39713 1500 6 may may MD 39713 1500 7 rest rest VB 39713 1500 8 easy easy RB 39713 1500 9 . . . 39713 1501 1 CHAPTER chapter NN 39713 1501 2 VIII viii NN 39713 1501 3 ENERGY ENERGY NNP 39713 1501 4 AND and CC 39713 1501 5 THERMODYNAMICS THERMODYNAMICS NNP 39713 1501 6 ENERGETICS.--The energetics.--the VB 39713 1501 7 difficulties difficulty NNS 39713 1501 8 inherent inherent JJ 39713 1501 9 in in IN 39713 1501 10 the the DT 39713 1501 11 classic classic JJ 39713 1501 12 mechanics mechanic NNS 39713 1501 13 have have VBP 39713 1501 14 led lead VBN 39713 1501 15 certain certain JJ 39713 1501 16 minds mind NNS 39713 1501 17 to to TO 39713 1501 18 prefer prefer VB 39713 1501 19 a a DT 39713 1501 20 new new JJ 39713 1501 21 system system NN 39713 1501 22 they -PRON- PRP 39713 1501 23 call call VBP 39713 1501 24 _ _ NNP 39713 1501 25 energetics energetic NNS 39713 1501 26 _ _ NNP 39713 1501 27 . . . 39713 1502 1 Energetics energetic NNS 39713 1502 2 took take VBD 39713 1502 3 its -PRON- PRP$ 39713 1502 4 rise rise NN 39713 1502 5 as as IN 39713 1502 6 an an DT 39713 1502 7 outcome outcome NN 39713 1502 8 of of IN 39713 1502 9 the the DT 39713 1502 10 discovery discovery NN 39713 1502 11 of of IN 39713 1502 12 the the DT 39713 1502 13 principle principle NN 39713 1502 14 of of IN 39713 1502 15 the the DT 39713 1502 16 conservation conservation NN 39713 1502 17 of of IN 39713 1502 18 energy energy NN 39713 1502 19 . . . 39713 1503 1 Helmholtz Helmholtz NNP 39713 1503 2 gave give VBD 39713 1503 3 it -PRON- PRP 39713 1503 4 its -PRON- PRP$ 39713 1503 5 final final JJ 39713 1503 6 form form NN 39713 1503 7 . . . 39713 1504 1 It -PRON- PRP 39713 1504 2 begins begin VBZ 39713 1504 3 by by IN 39713 1504 4 defining define VBG 39713 1504 5 two two CD 39713 1504 6 quantities quantity NNS 39713 1504 7 which which WDT 39713 1504 8 play play VBP 39713 1504 9 the the DT 39713 1504 10 fundamental fundamental NN 39713 1504 11 rôle rôle NN 39713 1504 12 in in IN 39713 1504 13 this this DT 39713 1504 14 theory theory NN 39713 1504 15 . . . 39713 1505 1 They -PRON- PRP 39713 1505 2 are be VBP 39713 1505 3 _ _ NNP 39713 1505 4 kinetic kinetic JJ 39713 1505 5 energy energy NN 39713 1505 6 _ _ NNP 39713 1505 7 , , , 39713 1505 8 or or CC 39713 1505 9 _ _ NNP 39713 1505 10 vis vis FW 39713 1505 11 viva viva FW 39713 1505 12 _ _ NNP 39713 1505 13 , , , 39713 1505 14 and and CC 39713 1505 15 _ _ NNP 39713 1505 16 potential potential JJ 39713 1505 17 energy energy NN 39713 1505 18 _ _ NNP 39713 1505 19 . . . 39713 1506 1 All all PDT 39713 1506 2 the the DT 39713 1506 3 changes change NNS 39713 1506 4 which which WDT 39713 1506 5 bodies body NNS 39713 1506 6 in in IN 39713 1506 7 nature nature NN 39713 1506 8 can can MD 39713 1506 9 undergo undergo VB 39713 1506 10 are be VBP 39713 1506 11 regulated regulate VBN 39713 1506 12 by by IN 39713 1506 13 two two CD 39713 1506 14 experimental experimental JJ 39713 1506 15 laws law NNS 39713 1506 16 : : : 39713 1506 17 1º 1º CD 39713 1506 18 The the DT 39713 1506 19 sum sum NN 39713 1506 20 of of IN 39713 1506 21 kinetic kinetic JJ 39713 1506 22 energy energy NN 39713 1506 23 and and CC 39713 1506 24 potential potential JJ 39713 1506 25 energy energy NN 39713 1506 26 is be VBZ 39713 1506 27 constant constant JJ 39713 1506 28 . . . 39713 1507 1 This this DT 39713 1507 2 is be VBZ 39713 1507 3 the the DT 39713 1507 4 principle principle NN 39713 1507 5 of of IN 39713 1507 6 the the DT 39713 1507 7 conservation conservation NN 39713 1507 8 of of IN 39713 1507 9 energy energy NN 39713 1507 10 . . . 39713 1508 1 2º 2º NNS 39713 1508 2 If if IN 39713 1508 3 a a DT 39713 1508 4 system system NN 39713 1508 5 of of IN 39713 1508 6 bodies body NNS 39713 1508 7 is be VBZ 39713 1508 8 at at IN 39713 1508 9 _ _ NNP 39713 1508 10 A A NNP 39713 1508 11 _ _ NNP 39713 1508 12 at at IN 39713 1508 13 the the DT 39713 1508 14 time time NN 39713 1508 15 t_{0 t_{0 NN 39713 1508 16 } } -RRB- 39713 1508 17 and and CC 39713 1508 18 at at IN 39713 1508 19 _ _ NNP 39713 1508 20 B B NNP 39713 1508 21 _ _ NNP 39713 1508 22 at at IN 39713 1508 23 the the DT 39713 1508 24 time time NN 39713 1508 25 t_{1 t_{1 NN 39713 1508 26 } } -RRB- 39713 1508 27 , , , 39713 1508 28 it -PRON- PRP 39713 1508 29 always always RB 39713 1508 30 goes go VBZ 39713 1508 31 from from IN 39713 1508 32 the the DT 39713 1508 33 first first JJ 39713 1508 34 situation situation NN 39713 1508 35 to to IN 39713 1508 36 the the DT 39713 1508 37 second second JJ 39713 1508 38 in in IN 39713 1508 39 such such PDT 39713 1508 40 a a DT 39713 1508 41 way way NN 39713 1508 42 that that WDT 39713 1508 43 the the DT 39713 1508 44 _ _ NNP 39713 1508 45 mean mean NN 39713 1508 46 _ _ NNP 39713 1508 47 value value NN 39713 1508 48 of of IN 39713 1508 49 the the DT 39713 1508 50 difference difference NN 39713 1508 51 between between IN 39713 1508 52 the the DT 39713 1508 53 two two CD 39713 1508 54 sorts sort NNS 39713 1508 55 of of IN 39713 1508 56 energy energy NN 39713 1508 57 , , , 39713 1508 58 in in IN 39713 1508 59 the the DT 39713 1508 60 interval interval NN 39713 1508 61 of of IN 39713 1508 62 time time NN 39713 1508 63 which which WDT 39713 1508 64 separates separate VBZ 39713 1508 65 the the DT 39713 1508 66 two two CD 39713 1508 67 epochs epoch NNS 39713 1508 68 t_{0 t_{0 NN 39713 1508 69 } } -RRB- 39713 1508 70 and and CC 39713 1508 71 t_{1 t_{1 NN 39713 1508 72 } } -RRB- 39713 1508 73 , , , 39713 1508 74 may may MD 39713 1508 75 be be VB 39713 1508 76 as as RB 39713 1508 77 small small JJ 39713 1508 78 as as IN 39713 1508 79 possible possible JJ 39713 1508 80 . . . 39713 1509 1 This this DT 39713 1509 2 is be VBZ 39713 1509 3 Hamilton Hamilton NNP 39713 1509 4 's 's POS 39713 1509 5 principle principle NN 39713 1509 6 , , , 39713 1509 7 which which WDT 39713 1509 8 is be VBZ 39713 1509 9 one one CD 39713 1509 10 of of IN 39713 1509 11 the the DT 39713 1509 12 forms form NNS 39713 1509 13 of of IN 39713 1509 14 the the DT 39713 1509 15 principle principle NN 39713 1509 16 of of IN 39713 1509 17 least least JJS 39713 1509 18 action action NN 39713 1509 19 . . . 39713 1510 1 The the DT 39713 1510 2 energetic energetic JJ 39713 1510 3 theory theory NN 39713 1510 4 has have VBZ 39713 1510 5 the the DT 39713 1510 6 following follow VBG 39713 1510 7 advantages advantage NNS 39713 1510 8 over over IN 39713 1510 9 the the DT 39713 1510 10 classic classic JJ 39713 1510 11 theory theory NN 39713 1510 12 : : : 39713 1510 13 1º 1º CD 39713 1510 14 It -PRON- PRP 39713 1510 15 is be VBZ 39713 1510 16 less less RBR 39713 1510 17 incomplete incomplete JJ 39713 1510 18 ; ; : 39713 1510 19 that that DT 39713 1510 20 is be VBZ 39713 1510 21 to to TO 39713 1510 22 say say VB 39713 1510 23 , , , 39713 1510 24 Hamilton Hamilton NNP 39713 1510 25 's 's POS 39713 1510 26 principle principle NN 39713 1510 27 and and CC 39713 1510 28 that that DT 39713 1510 29 of of IN 39713 1510 30 the the DT 39713 1510 31 conservation conservation NN 39713 1510 32 of of IN 39713 1510 33 energy energy NN 39713 1510 34 teach teach VBP 39713 1510 35 us -PRON- PRP 39713 1510 36 more more JJR 39713 1510 37 than than IN 39713 1510 38 the the DT 39713 1510 39 fundamental fundamental JJ 39713 1510 40 principles principle NNS 39713 1510 41 of of IN 39713 1510 42 the the DT 39713 1510 43 classic classic JJ 39713 1510 44 theory theory NN 39713 1510 45 , , , 39713 1510 46 and and CC 39713 1510 47 exclude exclude VB 39713 1510 48 certain certain JJ 39713 1510 49 motions motion NNS 39713 1510 50 not not RB 39713 1510 51 realized realize VBN 39713 1510 52 in in IN 39713 1510 53 nature nature NN 39713 1510 54 and and CC 39713 1510 55 which which WDT 39713 1510 56 would would MD 39713 1510 57 be be VB 39713 1510 58 compatible compatible JJ 39713 1510 59 with with IN 39713 1510 60 the the DT 39713 1510 61 classic classic JJ 39713 1510 62 theory theory NN 39713 1510 63 : : : 39713 1510 64 2º 2º NNS 39713 1510 65 It -PRON- PRP 39713 1510 66 saves save VBZ 39713 1510 67 us -PRON- PRP 39713 1510 68 the the DT 39713 1510 69 hypothesis hypothesis NN 39713 1510 70 of of IN 39713 1510 71 atoms atom NNS 39713 1510 72 , , , 39713 1510 73 which which WDT 39713 1510 74 it -PRON- PRP 39713 1510 75 was be VBD 39713 1510 76 almost almost RB 39713 1510 77 impossible impossible JJ 39713 1510 78 to to TO 39713 1510 79 avoid avoid VB 39713 1510 80 with with IN 39713 1510 81 the the DT 39713 1510 82 classic classic JJ 39713 1510 83 theory theory NN 39713 1510 84 . . . 39713 1511 1 But but CC 39713 1511 2 it -PRON- PRP 39713 1511 3 raises raise VBZ 39713 1511 4 in in IN 39713 1511 5 its -PRON- PRP$ 39713 1511 6 turn turn NN 39713 1511 7 new new JJ 39713 1511 8 difficulties difficulty NNS 39713 1511 9 : : : 39713 1511 10 The the DT 39713 1511 11 definitions definition NNS 39713 1511 12 of of IN 39713 1511 13 the the DT 39713 1511 14 two two CD 39713 1511 15 sorts sort NNS 39713 1511 16 of of IN 39713 1511 17 energy energy NN 39713 1511 18 would would MD 39713 1511 19 raise raise VB 39713 1511 20 difficulties difficulty NNS 39713 1511 21 almost almost RB 39713 1511 22 as as RB 39713 1511 23 great great JJ 39713 1511 24 as as IN 39713 1511 25 those those DT 39713 1511 26 of of IN 39713 1511 27 force force NN 39713 1511 28 and and CC 39713 1511 29 mass mass NN 39713 1511 30 in in IN 39713 1511 31 the the DT 39713 1511 32 first first JJ 39713 1511 33 system system NN 39713 1511 34 . . . 39713 1512 1 Yet yet CC 39713 1512 2 they -PRON- PRP 39713 1512 3 may may MD 39713 1512 4 be be VB 39713 1512 5 gotten get VBN 39713 1512 6 over over IN 39713 1512 7 more more RBR 39713 1512 8 easily easily RB 39713 1512 9 , , , 39713 1512 10 at at IN 39713 1512 11 least least JJS 39713 1512 12 in in IN 39713 1512 13 the the DT 39713 1512 14 simplest simple JJS 39713 1512 15 cases case NNS 39713 1512 16 . . . 39713 1513 1 Suppose suppose VB 39713 1513 2 an an DT 39713 1513 3 isolated isolated JJ 39713 1513 4 system system NN 39713 1513 5 formed form VBN 39713 1513 6 of of IN 39713 1513 7 a a DT 39713 1513 8 certain certain JJ 39713 1513 9 number number NN 39713 1513 10 of of IN 39713 1513 11 material material NN 39713 1513 12 points point NNS 39713 1513 13 ; ; : 39713 1513 14 suppose suppose VB 39713 1513 15 these these DT 39713 1513 16 points point NNS 39713 1513 17 subjected subject VBN 39713 1513 18 to to IN 39713 1513 19 forces force NNS 39713 1513 20 depending depend VBG 39713 1513 21 only only RB 39713 1513 22 on on IN 39713 1513 23 their -PRON- PRP$ 39713 1513 24 relative relative JJ 39713 1513 25 position position NN 39713 1513 26 and and CC 39713 1513 27 their -PRON- PRP$ 39713 1513 28 mutual mutual JJ 39713 1513 29 distances distance NNS 39713 1513 30 , , , 39713 1513 31 and and CC 39713 1513 32 independent independent JJ 39713 1513 33 of of IN 39713 1513 34 their -PRON- PRP$ 39713 1513 35 velocities velocity NNS 39713 1513 36 . . . 39713 1514 1 In in IN 39713 1514 2 virtue virtue NN 39713 1514 3 of of IN 39713 1514 4 the the DT 39713 1514 5 principle principle NN 39713 1514 6 of of IN 39713 1514 7 the the DT 39713 1514 8 conservation conservation NN 39713 1514 9 of of IN 39713 1514 10 energy energy NN 39713 1514 11 , , , 39713 1514 12 a a DT 39713 1514 13 function function NN 39713 1514 14 of of IN 39713 1514 15 forces force NNS 39713 1514 16 must must MD 39713 1514 17 exist exist VB 39713 1514 18 . . . 39713 1515 1 In in IN 39713 1515 2 this this DT 39713 1515 3 simple simple JJ 39713 1515 4 case case NN 39713 1515 5 the the DT 39713 1515 6 enunciation enunciation NN 39713 1515 7 of of IN 39713 1515 8 the the DT 39713 1515 9 principle principle NN 39713 1515 10 of of IN 39713 1515 11 the the DT 39713 1515 12 conservation conservation NN 39713 1515 13 of of IN 39713 1515 14 energy energy NN 39713 1515 15 is be VBZ 39713 1515 16 of of IN 39713 1515 17 extreme extreme JJ 39713 1515 18 simplicity simplicity NN 39713 1515 19 . . . 39713 1516 1 A a DT 39713 1516 2 certain certain JJ 39713 1516 3 quantity quantity NN 39713 1516 4 , , , 39713 1516 5 accessible accessible JJ 39713 1516 6 to to IN 39713 1516 7 experiment experiment NN 39713 1516 8 , , , 39713 1516 9 must must MD 39713 1516 10 remain remain VB 39713 1516 11 constant constant JJ 39713 1516 12 . . . 39713 1517 1 This this DT 39713 1517 2 quantity quantity NN 39713 1517 3 is be VBZ 39713 1517 4 the the DT 39713 1517 5 sum sum NN 39713 1517 6 of of IN 39713 1517 7 two two CD 39713 1517 8 terms term NNS 39713 1517 9 ; ; : 39713 1517 10 the the DT 39713 1517 11 first first JJ 39713 1517 12 depends depend VBZ 39713 1517 13 only only RB 39713 1517 14 on on IN 39713 1517 15 the the DT 39713 1517 16 position position NN 39713 1517 17 of of IN 39713 1517 18 the the DT 39713 1517 19 material material NN 39713 1517 20 points point NNS 39713 1517 21 and and CC 39713 1517 22 is be VBZ 39713 1517 23 independent independent JJ 39713 1517 24 of of IN 39713 1517 25 their -PRON- PRP$ 39713 1517 26 velocities velocity NNS 39713 1517 27 ; ; : 39713 1517 28 the the DT 39713 1517 29 second second JJ 39713 1517 30 is be VBZ 39713 1517 31 proportional proportional JJ 39713 1517 32 to to IN 39713 1517 33 the the DT 39713 1517 34 square square NN 39713 1517 35 of of IN 39713 1517 36 these these DT 39713 1517 37 velocities velocity NNS 39713 1517 38 . . . 39713 1518 1 This this DT 39713 1518 2 resolution resolution NN 39713 1518 3 can can MD 39713 1518 4 take take VB 39713 1518 5 place place NN 39713 1518 6 only only RB 39713 1518 7 in in IN 39713 1518 8 a a DT 39713 1518 9 single single JJ 39713 1518 10 way way NN 39713 1518 11 . . . 39713 1519 1 The the DT 39713 1519 2 first first JJ 39713 1519 3 of of IN 39713 1519 4 these these DT 39713 1519 5 terms term NNS 39713 1519 6 , , , 39713 1519 7 which which WDT 39713 1519 8 I -PRON- PRP 39713 1519 9 shall shall MD 39713 1519 10 call call VB 39713 1519 11 _ _ NNP 39713 1519 12 U U NNP 39713 1519 13 _ _ NNP 39713 1519 14 , , , 39713 1519 15 will will MD 39713 1519 16 be be VB 39713 1519 17 the the DT 39713 1519 18 potential potential JJ 39713 1519 19 energy energy NN 39713 1519 20 ; ; : 39713 1519 21 the the DT 39713 1519 22 second second JJ 39713 1519 23 , , , 39713 1519 24 which which WDT 39713 1519 25 I -PRON- PRP 39713 1519 26 shall shall MD 39713 1519 27 call call VB 39713 1519 28 _ _ NNP 39713 1519 29 T T NNP 39713 1519 30 _ _ NNP 39713 1519 31 , , , 39713 1519 32 will will MD 39713 1519 33 be be VB 39713 1519 34 the the DT 39713 1519 35 kinetic kinetic JJ 39713 1519 36 energy energy NN 39713 1519 37 . . . 39713 1520 1 It -PRON- PRP 39713 1520 2 is be VBZ 39713 1520 3 true true JJ 39713 1520 4 that that IN 39713 1520 5 if if IN 39713 1520 6 _ _ NNP 39713 1520 7 T T NNP 39713 1520 8 _ _ NNP 39713 1520 9 + + CC 39713 1520 10 _ _ NNP 39713 1520 11 U U NNP 39713 1520 12 _ _ NNP 39713 1520 13 is be VBZ 39713 1520 14 a a DT 39713 1520 15 constant constant JJ 39713 1520 16 , , , 39713 1520 17 so so RB 39713 1520 18 is be VBZ 39713 1520 19 any any DT 39713 1520 20 function function NN 39713 1520 21 of of IN 39713 1520 22 _ _ NNP 39713 1520 23 T T NNP 39713 1520 24 _ _ NNP 39713 1520 25 + + CC 39713 1520 26 _ _ NNP 39713 1520 27 U U NNP 39713 1520 28 _ _ NNP 39713 1520 29 , , , 39713 1520 30 { { -LRB- 39713 1520 31 Phi}(_T Phi}(_T NNP 39713 1520 32 _ _ NNP 39713 1520 33 + + NNP 39713 1520 34 _ _ NNP 39713 1520 35 U U NNP 39713 1520 36 _ _ NNP 39713 1520 37 ) ) -RRB- 39713 1520 38 . . . 39713 1521 1 But but CC 39713 1521 2 this this DT 39713 1521 3 function function NN 39713 1521 4 { { -LRB- 39713 1521 5 Phi}(_T Phi}(_T NNP 39713 1521 6 _ _ NNP 39713 1521 7 + + NNP 39713 1521 8 _ _ NNP 39713 1521 9 U U NNP 39713 1521 10 _ _ NNP 39713 1521 11 ) ) -RRB- 39713 1521 12 will will MD 39713 1521 13 not not RB 39713 1521 14 be be VB 39713 1521 15 the the DT 39713 1521 16 sum sum NN 39713 1521 17 of of IN 39713 1521 18 two two CD 39713 1521 19 terms term NNS 39713 1521 20 the the DT 39713 1521 21 one one CD 39713 1521 22 independent independent NN 39713 1521 23 of of IN 39713 1521 24 the the DT 39713 1521 25 velocities velocity NNS 39713 1521 26 , , , 39713 1521 27 the the DT 39713 1521 28 other other JJ 39713 1521 29 proportional proportional NN 39713 1521 30 to to IN 39713 1521 31 the the DT 39713 1521 32 square square NN 39713 1521 33 of of IN 39713 1521 34 these these DT 39713 1521 35 velocities velocity NNS 39713 1521 36 . . . 39713 1522 1 Among among IN 39713 1522 2 the the DT 39713 1522 3 functions function NNS 39713 1522 4 which which WDT 39713 1522 5 remain remain VBP 39713 1522 6 constant constant JJ 39713 1522 7 there there EX 39713 1522 8 is be VBZ 39713 1522 9 only only RB 39713 1522 10 one one CD 39713 1522 11 which which WDT 39713 1522 12 enjoys enjoy VBZ 39713 1522 13 this this DT 39713 1522 14 property property NN 39713 1522 15 , , , 39713 1522 16 that that RB 39713 1522 17 is be VBZ 39713 1522 18 _ _ NNP 39713 1522 19 T T NNP 39713 1522 20 _ _ NNP 39713 1522 21 + + CC 39713 1522 22 _ _ NNP 39713 1522 23 U U NNP 39713 1522 24 _ _ NNP 39713 1522 25 ( ( -LRB- 39713 1522 26 or or CC 39713 1522 27 a a DT 39713 1522 28 linear linear JJ 39713 1522 29 function function NN 39713 1522 30 of of IN 39713 1522 31 _ _ NNP 39713 1522 32 T T NNP 39713 1522 33 _ _ NNP 39713 1522 34 + + CC 39713 1522 35 _ _ NNP 39713 1522 36 U U NNP 39713 1522 37 _ _ NNP 39713 1522 38 , , , 39713 1522 39 which which WDT 39713 1522 40 comes come VBZ 39713 1522 41 to to IN 39713 1522 42 the the DT 39713 1522 43 same same JJ 39713 1522 44 thing thing NN 39713 1522 45 , , , 39713 1522 46 since since IN 39713 1522 47 this this DT 39713 1522 48 linear linear JJ 39713 1522 49 function function NN 39713 1522 50 may may MD 39713 1522 51 always always RB 39713 1522 52 be be VB 39713 1522 53 reduced reduce VBN 39713 1522 54 to to IN 39713 1522 55 _ _ NNP 39713 1522 56 T T NNP 39713 1522 57 _ _ NNP 39713 1522 58 + + CC 39713 1522 59 _ _ NNP 39713 1522 60 U U NNP 39713 1522 61 _ _ NNP 39713 1522 62 by by IN 39713 1522 63 change change NN 39713 1522 64 of of IN 39713 1522 65 unit unit NN 39713 1522 66 and and CC 39713 1522 67 of of IN 39713 1522 68 origin origin NN 39713 1522 69 ) ) -RRB- 39713 1522 70 . . . 39713 1523 1 This this DT 39713 1523 2 then then RB 39713 1523 3 is be VBZ 39713 1523 4 what what WP 39713 1523 5 we -PRON- PRP 39713 1523 6 shall shall MD 39713 1523 7 call call VB 39713 1523 8 energy energy NN 39713 1523 9 ; ; : 39713 1523 10 the the DT 39713 1523 11 first first JJ 39713 1523 12 term term NN 39713 1523 13 we -PRON- PRP 39713 1523 14 shall shall MD 39713 1523 15 call call VB 39713 1523 16 potential potential JJ 39713 1523 17 energy energy NN 39713 1523 18 and and CC 39713 1523 19 the the DT 39713 1523 20 second second JJ 39713 1523 21 kinetic kinetic JJ 39713 1523 22 energy energy NN 39713 1523 23 . . . 39713 1524 1 The the DT 39713 1524 2 definition definition NN 39713 1524 3 of of IN 39713 1524 4 the the DT 39713 1524 5 two two CD 39713 1524 6 sorts sort NNS 39713 1524 7 of of IN 39713 1524 8 energy energy NN 39713 1524 9 can can MD 39713 1524 10 therefore therefore RB 39713 1524 11 be be VB 39713 1524 12 carried carry VBN 39713 1524 13 through through RB 39713 1524 14 without without IN 39713 1524 15 any any DT 39713 1524 16 ambiguity ambiguity NN 39713 1524 17 . . . 39713 1525 1 It -PRON- PRP 39713 1525 2 is be VBZ 39713 1525 3 the the DT 39713 1525 4 same same JJ 39713 1525 5 with with IN 39713 1525 6 the the DT 39713 1525 7 definition definition NN 39713 1525 8 of of IN 39713 1525 9 the the DT 39713 1525 10 masses masse NNS 39713 1525 11 . . . 39713 1526 1 Kinetic kinetic JJ 39713 1526 2 energy energy NN 39713 1526 3 , , , 39713 1526 4 or or CC 39713 1526 5 _ _ NNP 39713 1526 6 vis vis FW 39713 1526 7 viva viva FW 39713 1526 8 _ _ NNP 39713 1526 9 , , , 39713 1526 10 is be VBZ 39713 1526 11 expressed express VBN 39713 1526 12 very very RB 39713 1526 13 simply simply RB 39713 1526 14 by by IN 39713 1526 15 the the DT 39713 1526 16 aid aid NN 39713 1526 17 of of IN 39713 1526 18 the the DT 39713 1526 19 masses masse NNS 39713 1526 20 and and CC 39713 1526 21 the the DT 39713 1526 22 relative relative JJ 39713 1526 23 velocities velocity NNS 39713 1526 24 of of IN 39713 1526 25 all all PDT 39713 1526 26 the the DT 39713 1526 27 material material JJ 39713 1526 28 points point NNS 39713 1526 29 with with IN 39713 1526 30 reference reference NN 39713 1526 31 to to IN 39713 1526 32 one one CD 39713 1526 33 of of IN 39713 1526 34 them -PRON- PRP 39713 1526 35 . . . 39713 1527 1 These these DT 39713 1527 2 relative relative JJ 39713 1527 3 velocities velocity NNS 39713 1527 4 are be VBP 39713 1527 5 accessible accessible JJ 39713 1527 6 to to IN 39713 1527 7 observation observation NN 39713 1527 8 , , , 39713 1527 9 and and CC 39713 1527 10 , , , 39713 1527 11 when when WRB 39713 1527 12 we -PRON- PRP 39713 1527 13 know know VBP 39713 1527 14 the the DT 39713 1527 15 expression expression NN 39713 1527 16 of of IN 39713 1527 17 the the DT 39713 1527 18 kinetic kinetic JJ 39713 1527 19 energy energy NN 39713 1527 20 as as IN 39713 1527 21 function function NN 39713 1527 22 of of IN 39713 1527 23 these these DT 39713 1527 24 relative relative JJ 39713 1527 25 velocities velocity NNS 39713 1527 26 , , , 39713 1527 27 the the DT 39713 1527 28 coefficients coefficient NNS 39713 1527 29 of of IN 39713 1527 30 this this DT 39713 1527 31 expression expression NN 39713 1527 32 will will MD 39713 1527 33 give give VB 39713 1527 34 us -PRON- PRP 39713 1527 35 the the DT 39713 1527 36 masses masse NNS 39713 1527 37 . . . 39713 1528 1 Thus thus RB 39713 1528 2 , , , 39713 1528 3 in in IN 39713 1528 4 this this DT 39713 1528 5 simple simple JJ 39713 1528 6 case case NN 39713 1528 7 , , , 39713 1528 8 the the DT 39713 1528 9 fundamental fundamental JJ 39713 1528 10 ideas idea NNS 39713 1528 11 may may MD 39713 1528 12 be be VB 39713 1528 13 defined define VBN 39713 1528 14 without without IN 39713 1528 15 difficulty difficulty NN 39713 1528 16 . . . 39713 1529 1 But but CC 39713 1529 2 the the DT 39713 1529 3 difficulties difficulty NNS 39713 1529 4 reappear reappear VBP 39713 1529 5 in in IN 39713 1529 6 the the DT 39713 1529 7 more more RBR 39713 1529 8 complicated complicated JJ 39713 1529 9 cases case NNS 39713 1529 10 and and CC 39713 1529 11 , , , 39713 1529 12 for for IN 39713 1529 13 instance instance NN 39713 1529 14 , , , 39713 1529 15 if if IN 39713 1529 16 the the DT 39713 1529 17 forces force NNS 39713 1529 18 , , , 39713 1529 19 in in IN 39713 1529 20 lieu lieu NN 39713 1529 21 of of IN 39713 1529 22 depending depend VBG 39713 1529 23 only only RB 39713 1529 24 on on IN 39713 1529 25 the the DT 39713 1529 26 distances distance NNS 39713 1529 27 , , , 39713 1529 28 depend depend VB 39713 1529 29 also also RB 39713 1529 30 on on IN 39713 1529 31 the the DT 39713 1529 32 velocities velocity NNS 39713 1529 33 . . . 39713 1530 1 For for IN 39713 1530 2 example example NN 39713 1530 3 , , , 39713 1530 4 Weber Weber NNP 39713 1530 5 supposes suppose VBZ 39713 1530 6 the the DT 39713 1530 7 mutual mutual JJ 39713 1530 8 action action NN 39713 1530 9 of of IN 39713 1530 10 two two CD 39713 1530 11 electric electric JJ 39713 1530 12 molecules molecule NNS 39713 1530 13 to to TO 39713 1530 14 depend depend VB 39713 1530 15 not not RB 39713 1530 16 only only RB 39713 1530 17 on on IN 39713 1530 18 their -PRON- PRP$ 39713 1530 19 distance distance NN 39713 1530 20 , , , 39713 1530 21 but but CC 39713 1530 22 on on IN 39713 1530 23 their -PRON- PRP$ 39713 1530 24 velocity velocity NN 39713 1530 25 and and CC 39713 1530 26 their -PRON- PRP$ 39713 1530 27 acceleration acceleration NN 39713 1530 28 . . . 39713 1531 1 If if IN 39713 1531 2 material material NN 39713 1531 3 points point NNS 39713 1531 4 should should MD 39713 1531 5 attract attract VB 39713 1531 6 each each DT 39713 1531 7 other other JJ 39713 1531 8 according accord VBG 39713 1531 9 to to IN 39713 1531 10 an an DT 39713 1531 11 analogous analogous JJ 39713 1531 12 law law NN 39713 1531 13 , , , 39713 1531 14 _ _ NNP 39713 1531 15 U U NNP 39713 1531 16 _ _ NNP 39713 1531 17 would would MD 39713 1531 18 depend depend VB 39713 1531 19 on on IN 39713 1531 20 the the DT 39713 1531 21 velocity velocity NN 39713 1531 22 , , , 39713 1531 23 and and CC 39713 1531 24 might may MD 39713 1531 25 contain contain VB 39713 1531 26 a a DT 39713 1531 27 term term NN 39713 1531 28 proportional proportional JJ 39713 1531 29 to to IN 39713 1531 30 the the DT 39713 1531 31 square square NN 39713 1531 32 of of IN 39713 1531 33 the the DT 39713 1531 34 velocity velocity NN 39713 1531 35 . . . 39713 1532 1 Among among IN 39713 1532 2 the the DT 39713 1532 3 terms term NNS 39713 1532 4 proportional proportional JJ 39713 1532 5 to to IN 39713 1532 6 the the DT 39713 1532 7 squares square NNS 39713 1532 8 of of IN 39713 1532 9 the the DT 39713 1532 10 velocities velocity NNS 39713 1532 11 , , , 39713 1532 12 how how WRB 39713 1532 13 distinguish distinguish VB 39713 1532 14 those those DT 39713 1532 15 which which WDT 39713 1532 16 come come VBP 39713 1532 17 from from IN 39713 1532 18 _ _ NNP 39713 1532 19 T T NNP 39713 1532 20 _ _ NNP 39713 1532 21 or or CC 39713 1532 22 from from IN 39713 1532 23 _ _ NNP 39713 1532 24 U U NNP 39713 1532 25 _ _ NNP 39713 1532 26 ? ? . 39713 1533 1 Consequently consequently RB 39713 1533 2 , , , 39713 1533 3 how how WRB 39713 1533 4 distinguish distinguish VB 39713 1533 5 the the DT 39713 1533 6 two two CD 39713 1533 7 parts part NNS 39713 1533 8 of of IN 39713 1533 9 energy energy NN 39713 1533 10 ? ? . 39713 1534 1 But but CC 39713 1534 2 still still RB 39713 1534 3 more more JJR 39713 1534 4 ; ; : 39713 1534 5 how how WRB 39713 1534 6 define define VB 39713 1534 7 energy energy NN 39713 1534 8 itself -PRON- PRP 39713 1534 9 ? ? . 39713 1535 1 We -PRON- PRP 39713 1535 2 no no RB 39713 1535 3 longer longer RB 39713 1535 4 have have VBP 39713 1535 5 any any DT 39713 1535 6 reason reason NN 39713 1535 7 to to TO 39713 1535 8 take take VB 39713 1535 9 as as IN 39713 1535 10 definition definition NN 39713 1535 11 _ _ NNP 39713 1535 12 T T NNP 39713 1535 13 _ _ NNP 39713 1535 14 + + CC 39713 1535 15 _ _ NNP 39713 1535 16 U U NNP 39713 1535 17 _ _ NNP 39713 1535 18 rather rather RB 39713 1535 19 than than IN 39713 1535 20 any any DT 39713 1535 21 other other JJ 39713 1535 22 function function NN 39713 1535 23 of of IN 39713 1535 24 _ _ NNP 39713 1535 25 T T NNP 39713 1535 26 _ _ NNP 39713 1535 27 + + CC 39713 1535 28 _ _ NNP 39713 1535 29 U U NNP 39713 1535 30 _ _ NNP 39713 1535 31 , , , 39713 1535 32 when when WRB 39713 1535 33 the the DT 39713 1535 34 property property NN 39713 1535 35 which which WDT 39713 1535 36 characterized characterize VBD 39713 1535 37 _ _ NNP 39713 1535 38 T T NNP 39713 1535 39 _ _ NNP 39713 1535 40 + + CC 39713 1535 41 _ _ NNP 39713 1535 42 U U NNP 39713 1535 43 _ _ NNP 39713 1535 44 has have VBZ 39713 1535 45 disappeared disappear VBN 39713 1535 46 , , , 39713 1535 47 that that IN 39713 1535 48 , , , 39713 1535 49 namely namely RB 39713 1535 50 , , , 39713 1535 51 of of IN 39713 1535 52 being be VBG 39713 1535 53 the the DT 39713 1535 54 sum sum NN 39713 1535 55 of of IN 39713 1535 56 two two CD 39713 1535 57 terms term NNS 39713 1535 58 of of IN 39713 1535 59 a a DT 39713 1535 60 particular particular JJ 39713 1535 61 form form NN 39713 1535 62 . . . 39713 1536 1 But but CC 39713 1536 2 this this DT 39713 1536 3 is be VBZ 39713 1536 4 not not RB 39713 1536 5 all all DT 39713 1536 6 ; ; : 39713 1536 7 it -PRON- PRP 39713 1536 8 is be VBZ 39713 1536 9 necessary necessary JJ 39713 1536 10 to to TO 39713 1536 11 take take VB 39713 1536 12 account account NN 39713 1536 13 , , , 39713 1536 14 not not RB 39713 1536 15 only only RB 39713 1536 16 of of IN 39713 1536 17 mechanical mechanical JJ 39713 1536 18 energy energy NN 39713 1536 19 properly properly RB 39713 1536 20 so so RB 39713 1536 21 called call VBN 39713 1536 22 , , , 39713 1536 23 but but CC 39713 1536 24 of of IN 39713 1536 25 the the DT 39713 1536 26 other other JJ 39713 1536 27 forms form NNS 39713 1536 28 of of IN 39713 1536 29 energy energy NN 39713 1536 30 , , , 39713 1536 31 heat heat NN 39713 1536 32 , , , 39713 1536 33 chemical chemical NN 39713 1536 34 energy energy NN 39713 1536 35 , , , 39713 1536 36 electric electric JJ 39713 1536 37 energy energy NN 39713 1536 38 , , , 39713 1536 39 etc etc FW 39713 1536 40 . . . 39713 1537 1 The the DT 39713 1537 2 principle principle NN 39713 1537 3 of of IN 39713 1537 4 the the DT 39713 1537 5 conservation conservation NN 39713 1537 6 of of IN 39713 1537 7 energy energy NN 39713 1537 8 should should MD 39713 1537 9 be be VB 39713 1537 10 written write VBN 39713 1537 11 : : : 39713 1537 12 _ _ NNP 39713 1537 13 T T NNP 39713 1537 14 _ _ NNP 39713 1537 15 + + CC 39713 1537 16 _ _ NNP 39713 1537 17 U U NNP 39713 1537 18 _ _ NNP 39713 1537 19 + + CC 39713 1537 20 _ _ NNP 39713 1537 21 Q Q NNP 39713 1537 22 _ _ NNP 39713 1537 23 = = SYM 39713 1537 24 const const NN 39713 1537 25 . . . 39713 1538 1 where where WRB 39713 1538 2 _ _ NNP 39713 1538 3 T T NNP 39713 1538 4 _ _ NNP 39713 1538 5 would would MD 39713 1538 6 represent represent VB 39713 1538 7 the the DT 39713 1538 8 sensible sensible JJ 39713 1538 9 kinetic kinetic JJ 39713 1538 10 energy energy NN 39713 1538 11 , , , 39713 1538 12 _ _ NNP 39713 1538 13 U U NNP 39713 1538 14 _ _ NNP 39713 1538 15 the the DT 39713 1538 16 potential potential JJ 39713 1538 17 energy energy NN 39713 1538 18 of of IN 39713 1538 19 position position NN 39713 1538 20 , , , 39713 1538 21 depending depend VBG 39713 1538 22 only only RB 39713 1538 23 on on IN 39713 1538 24 the the DT 39713 1538 25 position position NN 39713 1538 26 of of IN 39713 1538 27 the the DT 39713 1538 28 bodies body NNS 39713 1538 29 , , , 39713 1538 30 _ _ NNP 39713 1538 31 Q Q NNP 39713 1538 32 _ _ NNP 39713 1538 33 the the DT 39713 1538 34 internal internal JJ 39713 1538 35 molecular molecular JJ 39713 1538 36 energy energy NN 39713 1538 37 , , , 39713 1538 38 under under IN 39713 1538 39 the the DT 39713 1538 40 thermal thermal JJ 39713 1538 41 , , , 39713 1538 42 chemic chemic NN 39713 1538 43 or or CC 39713 1538 44 electric electric JJ 39713 1538 45 form form NN 39713 1538 46 . . . 39713 1539 1 All all DT 39713 1539 2 would would MD 39713 1539 3 go go VB 39713 1539 4 well well RB 39713 1539 5 if if IN 39713 1539 6 these these DT 39713 1539 7 three three CD 39713 1539 8 terms term NNS 39713 1539 9 were be VBD 39713 1539 10 absolutely absolutely RB 39713 1539 11 distinct distinct JJ 39713 1539 12 , , , 39713 1539 13 if if IN 39713 1539 14 _ _ NNP 39713 1539 15 T T NNP 39713 1539 16 _ _ NNP 39713 1539 17 were be VBD 39713 1539 18 proportional proportional JJ 39713 1539 19 to to IN 39713 1539 20 the the DT 39713 1539 21 square square NN 39713 1539 22 of of IN 39713 1539 23 the the DT 39713 1539 24 velocities velocity NNS 39713 1539 25 , , , 39713 1539 26 _ _ NNP 39713 1539 27 U U NNP 39713 1539 28 _ _ NNP 39713 1539 29 independent independent NN 39713 1539 30 of of IN 39713 1539 31 these these DT 39713 1539 32 velocities velocity NNS 39713 1539 33 and and CC 39713 1539 34 of of IN 39713 1539 35 the the DT 39713 1539 36 state state NN 39713 1539 37 of of IN 39713 1539 38 the the DT 39713 1539 39 bodies body NNS 39713 1539 40 , , , 39713 1539 41 _ _ NNP 39713 1539 42 Q Q NNP 39713 1539 43 _ _ NNP 39713 1539 44 independent independent NN 39713 1539 45 of of IN 39713 1539 46 the the DT 39713 1539 47 velocities velocity NNS 39713 1539 48 and and CC 39713 1539 49 of of IN 39713 1539 50 the the DT 39713 1539 51 positions position NNS 39713 1539 52 of of IN 39713 1539 53 the the DT 39713 1539 54 bodies body NNS 39713 1539 55 and and CC 39713 1539 56 dependent dependent JJ 39713 1539 57 only only RB 39713 1539 58 on on IN 39713 1539 59 their -PRON- PRP$ 39713 1539 60 internal internal JJ 39713 1539 61 state state NN 39713 1539 62 . . . 39713 1540 1 The the DT 39713 1540 2 expression expression NN 39713 1540 3 for for IN 39713 1540 4 the the DT 39713 1540 5 energy energy NN 39713 1540 6 could could MD 39713 1540 7 be be VB 39713 1540 8 resolved resolve VBN 39713 1540 9 only only RB 39713 1540 10 in in IN 39713 1540 11 one one CD 39713 1540 12 single single JJ 39713 1540 13 way way NN 39713 1540 14 into into IN 39713 1540 15 three three CD 39713 1540 16 terms term NNS 39713 1540 17 of of IN 39713 1540 18 this this DT 39713 1540 19 form form NN 39713 1540 20 . . . 39713 1541 1 But but CC 39713 1541 2 this this DT 39713 1541 3 is be VBZ 39713 1541 4 not not RB 39713 1541 5 the the DT 39713 1541 6 case case NN 39713 1541 7 ; ; : 39713 1541 8 consider consider VB 39713 1541 9 electrified electrified JJ 39713 1541 10 bodies body NNS 39713 1541 11 ; ; : 39713 1541 12 the the DT 39713 1541 13 electrostatic electrostatic JJ 39713 1541 14 energy energy NN 39713 1541 15 due due IN 39713 1541 16 to to IN 39713 1541 17 their -PRON- PRP$ 39713 1541 18 mutual mutual JJ 39713 1541 19 action action NN 39713 1541 20 will will MD 39713 1541 21 evidently evidently RB 39713 1541 22 depend depend VB 39713 1541 23 upon upon IN 39713 1541 24 their -PRON- PRP$ 39713 1541 25 charge charge NN 39713 1541 26 , , , 39713 1541 27 that that DT 39713 1541 28 is be VBZ 39713 1541 29 to to TO 39713 1541 30 say say VB 39713 1541 31 , , , 39713 1541 32 on on IN 39713 1541 33 their -PRON- PRP$ 39713 1541 34 state state NN 39713 1541 35 ; ; : 39713 1541 36 but but CC 39713 1541 37 it -PRON- PRP 39713 1541 38 will will MD 39713 1541 39 equally equally RB 39713 1541 40 depend depend VB 39713 1541 41 upon upon IN 39713 1541 42 their -PRON- PRP$ 39713 1541 43 position position NN 39713 1541 44 . . . 39713 1542 1 If if IN 39713 1542 2 these these DT 39713 1542 3 bodies body NNS 39713 1542 4 are be VBP 39713 1542 5 in in IN 39713 1542 6 motion motion NN 39713 1542 7 , , , 39713 1542 8 they -PRON- PRP 39713 1542 9 will will MD 39713 1542 10 act act VB 39713 1542 11 one one CD 39713 1542 12 upon upon IN 39713 1542 13 another another DT 39713 1542 14 electrodynamically electrodynamically RB 39713 1542 15 and and CC 39713 1542 16 the the DT 39713 1542 17 electrodynamic electrodynamic JJ 39713 1542 18 energy energy NN 39713 1542 19 will will MD 39713 1542 20 depend depend VB 39713 1542 21 not not RB 39713 1542 22 only only RB 39713 1542 23 upon upon IN 39713 1542 24 their -PRON- PRP$ 39713 1542 25 state state NN 39713 1542 26 and and CC 39713 1542 27 their -PRON- PRP$ 39713 1542 28 position position NN 39713 1542 29 , , , 39713 1542 30 but but CC 39713 1542 31 upon upon IN 39713 1542 32 their -PRON- PRP$ 39713 1542 33 velocities velocity NNS 39713 1542 34 . . . 39713 1543 1 We -PRON- PRP 39713 1543 2 therefore therefore RB 39713 1543 3 no no RB 39713 1543 4 longer longer RB 39713 1543 5 have have VBP 39713 1543 6 any any DT 39713 1543 7 means mean NNS 39713 1543 8 of of IN 39713 1543 9 making make VBG 39713 1543 10 the the DT 39713 1543 11 separation separation NN 39713 1543 12 of of IN 39713 1543 13 the the DT 39713 1543 14 terms term NNS 39713 1543 15 which which WDT 39713 1543 16 should should MD 39713 1543 17 make make VB 39713 1543 18 part part NN 39713 1543 19 of of IN 39713 1543 20 _ _ NNP 39713 1543 21 T T NNP 39713 1543 22 _ _ NNP 39713 1543 23 , , , 39713 1543 24 of of IN 39713 1543 25 _ _ NNP 39713 1543 26 U U NNP 39713 1543 27 _ _ NNP 39713 1543 28 and and CC 39713 1543 29 of of IN 39713 1543 30 _ _ NNP 39713 1543 31 Q Q NNP 39713 1543 32 _ _ NNP 39713 1543 33 , , , 39713 1543 34 and and CC 39713 1543 35 of of IN 39713 1543 36 separating separate VBG 39713 1543 37 the the DT 39713 1543 38 three three CD 39713 1543 39 parts part NNS 39713 1543 40 of of IN 39713 1543 41 energy energy NN 39713 1543 42 . . . 39713 1544 1 If if IN 39713 1544 2 ( ( -LRB- 39713 1544 3 _ _ NNP 39713 1544 4 T T NNP 39713 1544 5 _ _ NNP 39713 1544 6 + + CC 39713 1544 7 _ _ NNP 39713 1544 8 U U NNP 39713 1544 9 _ _ NNP 39713 1544 10 + + CC 39713 1544 11 _ _ NNP 39713 1544 12 Q Q NNP 39713 1544 13 _ _ NNP 39713 1544 14 ) ) -RRB- 39713 1544 15 is be VBZ 39713 1544 16 constant constant JJ 39713 1544 17 so so RB 39713 1544 18 is be VBZ 39713 1544 19 any any DT 39713 1544 20 function function NN 39713 1544 21 [ [ -LRB- 39713 1544 22 phi](_T phi](_T NNP 39713 1544 23 _ _ NNP 39713 1544 24 + + NNP 39713 1544 25 _ _ NNP 39713 1544 26 U U NNP 39713 1544 27 _ _ NNP 39713 1544 28 + + CC 39713 1544 29 _ _ NNP 39713 1544 30 Q Q NNP 39713 1544 31 _ _ NNP 39713 1544 32 ) ) -RRB- 39713 1544 33 . . . 39713 1545 1 If if IN 39713 1545 2 _ _ NNP 39713 1545 3 T T NNP 39713 1545 4 _ _ NNP 39713 1545 5 + + CC 39713 1545 6 _ _ NNP 39713 1545 7 U U NNP 39713 1545 8 _ _ NNP 39713 1545 9 + + CC 39713 1545 10 _ _ NNP 39713 1545 11 Q Q NNP 39713 1545 12 _ _ NNP 39713 1545 13 were be VBD 39713 1545 14 of of IN 39713 1545 15 the the DT 39713 1545 16 particular particular JJ 39713 1545 17 form form NN 39713 1545 18 I -PRON- PRP 39713 1545 19 have have VBP 39713 1545 20 above above RB 39713 1545 21 considered consider VBN 39713 1545 22 , , , 39713 1545 23 no no DT 39713 1545 24 ambiguity ambiguity NN 39713 1545 25 would would MD 39713 1545 26 result result VB 39713 1545 27 ; ; , 39713 1545 28 among among IN 39713 1545 29 the the DT 39713 1545 30 functions function NNS 39713 1545 31 [ [ -LRB- 39713 1545 32 phi](_T phi](_t CD 39713 1545 33 _ _ NNP 39713 1545 34 + + NNP 39713 1545 35 _ _ NNP 39713 1545 36 U U NNP 39713 1545 37 _ _ NNP 39713 1545 38 + + CC 39713 1545 39 _ _ NNP 39713 1545 40 Q Q NNP 39713 1545 41 _ _ NNP 39713 1545 42 ) ) -RRB- 39713 1545 43 which which WDT 39713 1545 44 remain remain VBP 39713 1545 45 constant constant JJ 39713 1545 46 , , , 39713 1545 47 there there EX 39713 1545 48 would would MD 39713 1545 49 only only RB 39713 1545 50 be be VB 39713 1545 51 one one CD 39713 1545 52 of of IN 39713 1545 53 this this DT 39713 1545 54 particular particular JJ 39713 1545 55 form form NN 39713 1545 56 , , , 39713 1545 57 and and CC 39713 1545 58 that that IN 39713 1545 59 I -PRON- PRP 39713 1545 60 should should MD 39713 1545 61 convene convene VB 39713 1545 62 to to TO 39713 1545 63 call call VB 39713 1545 64 energy energy NN 39713 1545 65 . . . 39713 1546 1 But but CC 39713 1546 2 as as IN 39713 1546 3 I -PRON- PRP 39713 1546 4 have have VBP 39713 1546 5 said say VBD 39713 1546 6 , , , 39713 1546 7 this this DT 39713 1546 8 is be VBZ 39713 1546 9 not not RB 39713 1546 10 rigorously rigorously RB 39713 1546 11 the the DT 39713 1546 12 case case NN 39713 1546 13 ; ; : 39713 1546 14 among among IN 39713 1546 15 the the DT 39713 1546 16 functions function NNS 39713 1546 17 which which WDT 39713 1546 18 remain remain VBP 39713 1546 19 constant constant JJ 39713 1546 20 , , , 39713 1546 21 there there EX 39713 1546 22 is be VBZ 39713 1546 23 none none NN 39713 1546 24 which which WDT 39713 1546 25 can can MD 39713 1546 26 be be VB 39713 1546 27 put put VBN 39713 1546 28 rigorously rigorously RB 39713 1546 29 under under IN 39713 1546 30 this this DT 39713 1546 31 particular particular JJ 39713 1546 32 form form NN 39713 1546 33 ; ; : 39713 1546 34 hence hence RB 39713 1546 35 , , , 39713 1546 36 how how WRB 39713 1546 37 choose choose VB 39713 1546 38 among among IN 39713 1546 39 them -PRON- PRP 39713 1546 40 the the DT 39713 1546 41 one one NN 39713 1546 42 which which WDT 39713 1546 43 should should MD 39713 1546 44 be be VB 39713 1546 45 called call VBN 39713 1546 46 energy energy NN 39713 1546 47 ? ? . 39713 1547 1 We -PRON- PRP 39713 1547 2 no no RB 39713 1547 3 longer longer RB 39713 1547 4 have have VBP 39713 1547 5 anything anything NN 39713 1547 6 to to TO 39713 1547 7 guide guide VB 39713 1547 8 us -PRON- PRP 39713 1547 9 in in IN 39713 1547 10 our -PRON- PRP$ 39713 1547 11 choice choice NN 39713 1547 12 . . . 39713 1548 1 There there EX 39713 1548 2 only only RB 39713 1548 3 remains remain VBZ 39713 1548 4 for for IN 39713 1548 5 us -PRON- PRP 39713 1548 6 one one CD 39713 1548 7 enunciation enunciation NN 39713 1548 8 of of IN 39713 1548 9 the the DT 39713 1548 10 principle principle NN 39713 1548 11 of of IN 39713 1548 12 the the DT 39713 1548 13 conservation conservation NN 39713 1548 14 of of IN 39713 1548 15 energy energy NN 39713 1548 16 : : : 39713 1548 17 _ _ NNP 39713 1548 18 There there EX 39713 1548 19 is be VBZ 39713 1548 20 something something NN 39713 1548 21 which which WDT 39713 1548 22 remains remain VBZ 39713 1548 23 constant constant JJ 39713 1548 24 _ _ NNP 39713 1548 25 . . . 39713 1549 1 Under under IN 39713 1549 2 this this DT 39713 1549 3 form form NN 39713 1549 4 it -PRON- PRP 39713 1549 5 is be VBZ 39713 1549 6 in in IN 39713 1549 7 its -PRON- PRP$ 39713 1549 8 turn turn NN 39713 1549 9 out out IN 39713 1549 10 of of IN 39713 1549 11 the the DT 39713 1549 12 reach reach NN 39713 1549 13 of of IN 39713 1549 14 experiment experiment NN 39713 1549 15 and and CC 39713 1549 16 reduces reduce VBZ 39713 1549 17 to to IN 39713 1549 18 a a DT 39713 1549 19 sort sort NN 39713 1549 20 of of IN 39713 1549 21 tautology tautology NN 39713 1549 22 . . . 39713 1550 1 It -PRON- PRP 39713 1550 2 is be VBZ 39713 1550 3 clear clear JJ 39713 1550 4 that that IN 39713 1550 5 if if IN 39713 1550 6 the the DT 39713 1550 7 world world NN 39713 1550 8 is be VBZ 39713 1550 9 governed govern VBN 39713 1550 10 by by IN 39713 1550 11 laws law NNS 39713 1550 12 , , , 39713 1550 13 there there EX 39713 1550 14 will will MD 39713 1550 15 be be VB 39713 1550 16 quantities quantity NNS 39713 1550 17 which which WDT 39713 1550 18 will will MD 39713 1550 19 remain remain VB 39713 1550 20 constant constant JJ 39713 1550 21 . . . 39713 1551 1 Like like IN 39713 1551 2 Newton Newton NNP 39713 1551 3 's 's POS 39713 1551 4 laws law NNS 39713 1551 5 , , , 39713 1551 6 and and CC 39713 1551 7 , , , 39713 1551 8 for for IN 39713 1551 9 an an DT 39713 1551 10 analogous analogous JJ 39713 1551 11 reason reason NN 39713 1551 12 , , , 39713 1551 13 the the DT 39713 1551 14 principle principle NN 39713 1551 15 of of IN 39713 1551 16 the the DT 39713 1551 17 conservation conservation NN 39713 1551 18 of of IN 39713 1551 19 energy energy NN 39713 1551 20 , , , 39713 1551 21 founded found VBN 39713 1551 22 on on IN 39713 1551 23 experiment experiment NN 39713 1551 24 , , , 39713 1551 25 could could MD 39713 1551 26 no no RB 39713 1551 27 longer longer RB 39713 1551 28 be be VB 39713 1551 29 invalidated invalidate VBN 39713 1551 30 by by IN 39713 1551 31 it -PRON- PRP 39713 1551 32 . . . 39713 1552 1 This this DT 39713 1552 2 discussion discussion NN 39713 1552 3 shows show VBZ 39713 1552 4 that that IN 39713 1552 5 in in IN 39713 1552 6 passing pass VBG 39713 1552 7 from from IN 39713 1552 8 the the DT 39713 1552 9 classic classic NN 39713 1552 10 to to IN 39713 1552 11 the the DT 39713 1552 12 energetic energetic JJ 39713 1552 13 system system NN 39713 1552 14 progress progress NN 39713 1552 15 has have VBZ 39713 1552 16 been be VBN 39713 1552 17 made make VBN 39713 1552 18 ; ; : 39713 1552 19 but but CC 39713 1552 20 at at IN 39713 1552 21 the the DT 39713 1552 22 same same JJ 39713 1552 23 time time NN 39713 1552 24 it -PRON- PRP 39713 1552 25 shows show VBZ 39713 1552 26 this this DT 39713 1552 27 progress progress NN 39713 1552 28 is be VBZ 39713 1552 29 insufficient insufficient JJ 39713 1552 30 . . . 39713 1553 1 Another another DT 39713 1553 2 objection objection NN 39713 1553 3 seems seem VBZ 39713 1553 4 to to IN 39713 1553 5 me -PRON- PRP 39713 1553 6 still still RB 39713 1553 7 more more RBR 39713 1553 8 grave grave JJ 39713 1553 9 : : : 39713 1553 10 the the DT 39713 1553 11 principle principle NN 39713 1553 12 of of IN 39713 1553 13 least least JJS 39713 1553 14 action action NN 39713 1553 15 is be VBZ 39713 1553 16 applicable applicable JJ 39713 1553 17 to to TO 39713 1553 18 reversible reversible VB 39713 1553 19 phenomena phenomenon NNS 39713 1553 20 ; ; : 39713 1553 21 but but CC 39713 1553 22 it -PRON- PRP 39713 1553 23 is be VBZ 39713 1553 24 not not RB 39713 1553 25 at at RB 39713 1553 26 all all RB 39713 1553 27 satisfactory satisfactory JJ 39713 1553 28 in in RB 39713 1553 29 so so RB 39713 1553 30 far far RB 39713 1553 31 as as IN 39713 1553 32 irreversible irreversible JJ 39713 1553 33 phenomena phenomenon NNS 39713 1553 34 are be VBP 39713 1553 35 concerned concern VBN 39713 1553 36 ; ; : 39713 1553 37 the the DT 39713 1553 38 attempt attempt NN 39713 1553 39 by by IN 39713 1553 40 Helmholtz Helmholtz NNP 39713 1553 41 to to TO 39713 1553 42 extend extend VB 39713 1553 43 it -PRON- PRP 39713 1553 44 to to IN 39713 1553 45 this this DT 39713 1553 46 kind kind NN 39713 1553 47 of of IN 39713 1553 48 phenomena phenomenon NNS 39713 1553 49 did do VBD 39713 1553 50 not not RB 39713 1553 51 succeed succeed VB 39713 1553 52 and and CC 39713 1553 53 could could MD 39713 1553 54 not not RB 39713 1553 55 succeed succeed VB 39713 1553 56 ; ; : 39713 1553 57 in in IN 39713 1553 58 this this DT 39713 1553 59 regard regard NN 39713 1553 60 everything everything NN 39713 1553 61 remains remain VBZ 39713 1553 62 to to TO 39713 1553 63 be be VB 39713 1553 64 done do VBN 39713 1553 65 . . . 39713 1554 1 The the DT 39713 1554 2 very very JJ 39713 1554 3 statement statement NN 39713 1554 4 of of IN 39713 1554 5 the the DT 39713 1554 6 principle principle NN 39713 1554 7 of of IN 39713 1554 8 least least JJS 39713 1554 9 action action NN 39713 1554 10 has have VBZ 39713 1554 11 something something NN 39713 1554 12 about about IN 39713 1554 13 it -PRON- PRP 39713 1554 14 repugnant repugnant JJ 39713 1554 15 to to IN 39713 1554 16 the the DT 39713 1554 17 mind mind NN 39713 1554 18 . . . 39713 1555 1 To to TO 39713 1555 2 go go VB 39713 1555 3 from from IN 39713 1555 4 one one CD 39713 1555 5 point point NN 39713 1555 6 to to IN 39713 1555 7 another another DT 39713 1555 8 , , , 39713 1555 9 a a DT 39713 1555 10 material material NN 39713 1555 11 molecule molecule NN 39713 1555 12 , , , 39713 1555 13 acted act VBN 39713 1555 14 upon upon IN 39713 1555 15 by by IN 39713 1555 16 no no DT 39713 1555 17 force force NN 39713 1555 18 , , , 39713 1555 19 but but CC 39713 1555 20 required require VBN 39713 1555 21 to to TO 39713 1555 22 move move VB 39713 1555 23 on on IN 39713 1555 24 a a DT 39713 1555 25 surface surface NN 39713 1555 26 , , , 39713 1555 27 will will MD 39713 1555 28 take take VB 39713 1555 29 the the DT 39713 1555 30 geodesic geodesic NN 39713 1555 31 line line NN 39713 1555 32 , , , 39713 1555 33 that that DT 39713 1555 34 is be VBZ 39713 1555 35 to to TO 39713 1555 36 say say VB 39713 1555 37 , , , 39713 1555 38 the the DT 39713 1555 39 shortest short JJS 39713 1555 40 path path NN 39713 1555 41 . . . 39713 1556 1 This this DT 39713 1556 2 molecule molecule NN 39713 1556 3 seems seem VBZ 39713 1556 4 to to TO 39713 1556 5 know know VB 39713 1556 6 the the DT 39713 1556 7 point point NN 39713 1556 8 whither whither CC 39713 1556 9 it -PRON- PRP 39713 1556 10 is be VBZ 39713 1556 11 to to TO 39713 1556 12 go go VB 39713 1556 13 , , , 39713 1556 14 to to TO 39713 1556 15 foresee foresee VB 39713 1556 16 the the DT 39713 1556 17 time time NN 39713 1556 18 it -PRON- PRP 39713 1556 19 would would MD 39713 1556 20 take take VB 39713 1556 21 to to TO 39713 1556 22 reach reach VB 39713 1556 23 it -PRON- PRP 39713 1556 24 by by IN 39713 1556 25 such such JJ 39713 1556 26 and and CC 39713 1556 27 such such JJ 39713 1556 28 a a DT 39713 1556 29 route route NN 39713 1556 30 , , , 39713 1556 31 and and CC 39713 1556 32 then then RB 39713 1556 33 to to TO 39713 1556 34 choose choose VB 39713 1556 35 the the DT 39713 1556 36 most most RBS 39713 1556 37 suitable suitable JJ 39713 1556 38 path path NN 39713 1556 39 . . . 39713 1557 1 The the DT 39713 1557 2 statement statement NN 39713 1557 3 presents present VBZ 39713 1557 4 the the DT 39713 1557 5 molecule molecule NN 39713 1557 6 to to IN 39713 1557 7 us -PRON- PRP 39713 1557 8 , , , 39713 1557 9 so so RB 39713 1557 10 to to TO 39713 1557 11 speak speak VB 39713 1557 12 , , , 39713 1557 13 as as IN 39713 1557 14 a a DT 39713 1557 15 living living NN 39713 1557 16 and and CC 39713 1557 17 free free JJ 39713 1557 18 being being NN 39713 1557 19 . . . 39713 1558 1 Clearly clearly RB 39713 1558 2 it -PRON- PRP 39713 1558 3 would would MD 39713 1558 4 be be VB 39713 1558 5 better well JJR 39713 1558 6 to to TO 39713 1558 7 replace replace VB 39713 1558 8 it -PRON- PRP 39713 1558 9 by by IN 39713 1558 10 an an DT 39713 1558 11 enunciation enunciation NN 39713 1558 12 less less RBR 39713 1558 13 objectionable objectionable JJ 39713 1558 14 , , , 39713 1558 15 and and CC 39713 1558 16 where where WRB 39713 1558 17 , , , 39713 1558 18 as as IN 39713 1558 19 the the DT 39713 1558 20 philosophers philosopher NNS 39713 1558 21 would would MD 39713 1558 22 say say VB 39713 1558 23 , , , 39713 1558 24 final final JJ 39713 1558 25 causes cause NNS 39713 1558 26 would would MD 39713 1558 27 not not RB 39713 1558 28 seem seem VB 39713 1558 29 to to TO 39713 1558 30 be be VB 39713 1558 31 substituted substitute VBN 39713 1558 32 for for IN 39713 1558 33 efficient efficient JJ 39713 1558 34 causes cause NNS 39713 1558 35 . . . 39713 1559 1 THERMODYNAMICS thermodynamic NNS 39713 1559 2 . . . 39713 1560 1 [ [ -LRB- 39713 1560 2 4]--The 4]--The NNP 39713 1560 3 rôle rôle NNS 39713 1560 4 of of IN 39713 1560 5 the the DT 39713 1560 6 two two CD 39713 1560 7 fundamental fundamental JJ 39713 1560 8 principles principle NNS 39713 1560 9 of of IN 39713 1560 10 thermodynamics thermodynamic NNS 39713 1560 11 in in IN 39713 1560 12 all all DT 39713 1560 13 branches branch NNS 39713 1560 14 of of IN 39713 1560 15 natural natural JJ 39713 1560 16 philosophy philosophy NN 39713 1560 17 becomes become VBZ 39713 1560 18 daily daily RB 39713 1560 19 more more RBR 39713 1560 20 important important JJ 39713 1560 21 . . . 39713 1561 1 Abandoning abandon VBG 39713 1561 2 the the DT 39713 1561 3 ambitious ambitious JJ 39713 1561 4 theories theory NNS 39713 1561 5 of of IN 39713 1561 6 forty forty CD 39713 1561 7 years year NNS 39713 1561 8 ago ago RB 39713 1561 9 , , , 39713 1561 10 which which WDT 39713 1561 11 were be VBD 39713 1561 12 encumbered encumber VBN 39713 1561 13 by by IN 39713 1561 14 molecular molecular JJ 39713 1561 15 hypotheses hypothesis NNS 39713 1561 16 , , , 39713 1561 17 we -PRON- PRP 39713 1561 18 are be VBP 39713 1561 19 trying try VBG 39713 1561 20 to to TO 39713 1561 21 - - HYPH 39713 1561 22 day day NN 39713 1561 23 to to TO 39713 1561 24 erect erect VB 39713 1561 25 upon upon IN 39713 1561 26 thermodynamics thermodynamic NNS 39713 1561 27 alone alone RB 39713 1561 28 the the DT 39713 1561 29 entire entire JJ 39713 1561 30 edifice edifice NN 39713 1561 31 of of IN 39713 1561 32 mathematical mathematical JJ 39713 1561 33 physics physics NN 39713 1561 34 . . . 39713 1562 1 Will Will MD 39713 1562 2 the the DT 39713 1562 3 two two CD 39713 1562 4 principles principle NNS 39713 1562 5 of of IN 39713 1562 6 Mayer Mayer NNP 39713 1562 7 and and CC 39713 1562 8 of of IN 39713 1562 9 Clausius Clausius NNP 39713 1562 10 assure assure NN 39713 1562 11 to to IN 39713 1562 12 it -PRON- PRP 39713 1562 13 foundations foundation VBZ 39713 1562 14 solid solid JJ 39713 1562 15 enough enough RB 39713 1562 16 for for IN 39713 1562 17 it -PRON- PRP 39713 1562 18 to to TO 39713 1562 19 last last VB 39713 1562 20 some some DT 39713 1562 21 time time NN 39713 1562 22 ? ? . 39713 1563 1 No no DT 39713 1563 2 one one NN 39713 1563 3 doubts doubt VBZ 39713 1563 4 it -PRON- PRP 39713 1563 5 ; ; : 39713 1563 6 but but CC 39713 1563 7 whence whence NN 39713 1563 8 comes come VBZ 39713 1563 9 this this DT 39713 1563 10 confidence confidence NN 39713 1563 11 ? ? . 39713 1564 1 [ [ -LRB- 39713 1564 2 4 4 LS 39713 1564 3 ] ] -RRB- 39713 1564 4 The the DT 39713 1564 5 following follow VBG 39713 1564 6 lines line NNS 39713 1564 7 are be VBP 39713 1564 8 a a DT 39713 1564 9 partial partial JJ 39713 1564 10 reproduction reproduction NN 39713 1564 11 of of IN 39713 1564 12 the the DT 39713 1564 13 preface preface NN 39713 1564 14 of of IN 39713 1564 15 my -PRON- PRP$ 39713 1564 16 book book NN 39713 1564 17 _ _ NNP 39713 1564 18 Thermodynamique Thermodynamique NNP 39713 1564 19 _ _ NNP 39713 1564 20 . . . 39713 1565 1 An an DT 39713 1565 2 eminent eminent JJ 39713 1565 3 physicist physicist NN 39713 1565 4 said say VBD 39713 1565 5 to to IN 39713 1565 6 me -PRON- PRP 39713 1565 7 one one CD 39713 1565 8 day day NN 39713 1565 9 _ _ NNP 39713 1565 10 à à NNP 39713 1565 11 propos propos NN 39713 1565 12 _ _ NNP 39713 1565 13 of of IN 39713 1565 14 the the DT 39713 1565 15 law law NN 39713 1565 16 of of IN 39713 1565 17 errors error NNS 39713 1565 18 : : : 39713 1565 19 " " `` 39713 1565 20 All all PDT 39713 1565 21 the the DT 39713 1565 22 world world NN 39713 1565 23 believes believe VBZ 39713 1565 24 it -PRON- PRP 39713 1565 25 firmly firmly RB 39713 1565 26 , , , 39713 1565 27 because because IN 39713 1565 28 the the DT 39713 1565 29 mathematicians mathematician NNS 39713 1565 30 imagine imagine VBP 39713 1565 31 that that IN 39713 1565 32 it -PRON- PRP 39713 1565 33 is be VBZ 39713 1565 34 a a DT 39713 1565 35 fact fact NN 39713 1565 36 of of IN 39713 1565 37 observation observation NN 39713 1565 38 , , , 39713 1565 39 and and CC 39713 1565 40 the the DT 39713 1565 41 observers observer NNS 39713 1565 42 that that WDT 39713 1565 43 it -PRON- PRP 39713 1565 44 is be VBZ 39713 1565 45 a a DT 39713 1565 46 theorem theorem NN 39713 1565 47 of of IN 39713 1565 48 mathematics mathematic NNS 39713 1565 49 . . . 39713 1565 50 " " '' 39713 1566 1 It -PRON- PRP 39713 1566 2 was be VBD 39713 1566 3 long long RB 39713 1566 4 so so RB 39713 1566 5 for for IN 39713 1566 6 the the DT 39713 1566 7 principle principle NN 39713 1566 8 of of IN 39713 1566 9 the the DT 39713 1566 10 conservation conservation NN 39713 1566 11 of of IN 39713 1566 12 energy energy NN 39713 1566 13 . . . 39713 1567 1 It -PRON- PRP 39713 1567 2 is be VBZ 39713 1567 3 no no RB 39713 1567 4 longer long RBR 39713 1567 5 so so RB 39713 1567 6 to to IN 39713 1567 7 - - HYPH 39713 1567 8 day day NN 39713 1567 9 ; ; : 39713 1567 10 no no DT 39713 1567 11 one one NN 39713 1567 12 is be VBZ 39713 1567 13 ignorant ignorant JJ 39713 1567 14 that that IN 39713 1567 15 this this DT 39713 1567 16 is be VBZ 39713 1567 17 an an DT 39713 1567 18 experimental experimental JJ 39713 1567 19 fact fact NN 39713 1567 20 . . . 39713 1568 1 But but CC 39713 1568 2 then then RB 39713 1568 3 what what WP 39713 1568 4 gives give VBZ 39713 1568 5 us -PRON- PRP 39713 1568 6 the the DT 39713 1568 7 right right NN 39713 1568 8 to to TO 39713 1568 9 attribute attribute VB 39713 1568 10 to to IN 39713 1568 11 the the DT 39713 1568 12 principle principle NN 39713 1568 13 itself -PRON- PRP 39713 1568 14 more more JJR 39713 1568 15 generality generality NN 39713 1568 16 and and CC 39713 1568 17 more more JJR 39713 1568 18 precision precision NN 39713 1568 19 than than IN 39713 1568 20 to to IN 39713 1568 21 the the DT 39713 1568 22 experiments experiment NNS 39713 1568 23 which which WDT 39713 1568 24 have have VBP 39713 1568 25 served serve VBN 39713 1568 26 to to TO 39713 1568 27 demonstrate demonstrate VB 39713 1568 28 it -PRON- PRP 39713 1568 29 ? ? . 39713 1569 1 This this DT 39713 1569 2 is be VBZ 39713 1569 3 to to TO 39713 1569 4 ask ask VB 39713 1569 5 whether whether IN 39713 1569 6 it -PRON- PRP 39713 1569 7 is be VBZ 39713 1569 8 legitimate legitimate JJ 39713 1569 9 , , , 39713 1569 10 as as IN 39713 1569 11 is be VBZ 39713 1569 12 done do VBN 39713 1569 13 every every DT 39713 1569 14 day day NN 39713 1569 15 , , , 39713 1569 16 to to TO 39713 1569 17 generalize generalize VB 39713 1569 18 empirical empirical JJ 39713 1569 19 data datum NNS 39713 1569 20 , , , 39713 1569 21 and and CC 39713 1569 22 I -PRON- PRP 39713 1569 23 shall shall MD 39713 1569 24 not not RB 39713 1569 25 have have VB 39713 1569 26 the the DT 39713 1569 27 presumption presumption NN 39713 1569 28 to to TO 39713 1569 29 discuss discuss VB 39713 1569 30 this this DT 39713 1569 31 question question NN 39713 1569 32 , , , 39713 1569 33 after after IN 39713 1569 34 so so RB 39713 1569 35 many many JJ 39713 1569 36 philosophers philosopher NNS 39713 1569 37 have have VBP 39713 1569 38 vainly vainly RB 39713 1569 39 striven strive VBN 39713 1569 40 to to TO 39713 1569 41 solve solve VB 39713 1569 42 it -PRON- PRP 39713 1569 43 . . . 39713 1570 1 One one CD 39713 1570 2 thing thing NN 39713 1570 3 is be VBZ 39713 1570 4 certain certain JJ 39713 1570 5 ; ; : 39713 1570 6 if if IN 39713 1570 7 this this DT 39713 1570 8 power power NN 39713 1570 9 were be VBD 39713 1570 10 denied deny VBN 39713 1570 11 us -PRON- PRP 39713 1570 12 , , , 39713 1570 13 science science NN 39713 1570 14 could could MD 39713 1570 15 not not RB 39713 1570 16 exist exist VB 39713 1570 17 or or CC 39713 1570 18 , , , 39713 1570 19 at at IN 39713 1570 20 least least JJS 39713 1570 21 , , , 39713 1570 22 reduced reduce VBN 39713 1570 23 to to IN 39713 1570 24 a a DT 39713 1570 25 sort sort NN 39713 1570 26 of of IN 39713 1570 27 inventory inventory NN 39713 1570 28 , , , 39713 1570 29 to to IN 39713 1570 30 the the DT 39713 1570 31 ascertaining ascertaining NN 39713 1570 32 of of IN 39713 1570 33 isolated isolated JJ 39713 1570 34 facts fact NNS 39713 1570 35 , , , 39713 1570 36 it -PRON- PRP 39713 1570 37 would would MD 39713 1570 38 have have VB 39713 1570 39 no no DT 39713 1570 40 value value NN 39713 1570 41 for for IN 39713 1570 42 us -PRON- PRP 39713 1570 43 , , , 39713 1570 44 since since IN 39713 1570 45 it -PRON- PRP 39713 1570 46 could could MD 39713 1570 47 give give VB 39713 1570 48 no no DT 39713 1570 49 satisfaction satisfaction NN 39713 1570 50 to to IN 39713 1570 51 our -PRON- PRP$ 39713 1570 52 craving craving NN 39713 1570 53 for for IN 39713 1570 54 order order NN 39713 1570 55 and and CC 39713 1570 56 harmony harmony NN 39713 1570 57 and and CC 39713 1570 58 since since IN 39713 1570 59 it -PRON- PRP 39713 1570 60 would would MD 39713 1570 61 be be VB 39713 1570 62 at at IN 39713 1570 63 the the DT 39713 1570 64 same same JJ 39713 1570 65 time time NN 39713 1570 66 incapable incapable JJ 39713 1570 67 of of IN 39713 1570 68 foreseeing foreseeing NN 39713 1570 69 . . . 39713 1571 1 As as IN 39713 1571 2 the the DT 39713 1571 3 circumstances circumstance NNS 39713 1571 4 which which WDT 39713 1571 5 have have VBP 39713 1571 6 preceded precede VBN 39713 1571 7 any any DT 39713 1571 8 fact fact NN 39713 1571 9 will will MD 39713 1571 10 probably probably RB 39713 1571 11 never never RB 39713 1571 12 be be VB 39713 1571 13 simultaneously simultaneously RB 39713 1571 14 reproduced reproduce VBN 39713 1571 15 , , , 39713 1571 16 a a DT 39713 1571 17 first first JJ 39713 1571 18 generalization generalization NN 39713 1571 19 is be VBZ 39713 1571 20 already already RB 39713 1571 21 necessary necessary JJ 39713 1571 22 to to TO 39713 1571 23 foresee foresee VB 39713 1571 24 whether whether IN 39713 1571 25 this this DT 39713 1571 26 fact fact NN 39713 1571 27 will will MD 39713 1571 28 be be VB 39713 1571 29 reproduced reproduce VBN 39713 1571 30 again again RB 39713 1571 31 after after IN 39713 1571 32 the the DT 39713 1571 33 least least JJS 39713 1571 34 of of IN 39713 1571 35 these these DT 39713 1571 36 circumstances circumstance NNS 39713 1571 37 shall shall MD 39713 1571 38 be be VB 39713 1571 39 changed change VBN 39713 1571 40 . . . 39713 1572 1 But but CC 39713 1572 2 every every DT 39713 1572 3 proposition proposition NN 39713 1572 4 may may MD 39713 1572 5 be be VB 39713 1572 6 generalized generalize VBN 39713 1572 7 in in IN 39713 1572 8 an an DT 39713 1572 9 infinity infinity NN 39713 1572 10 of of IN 39713 1572 11 ways way NNS 39713 1572 12 . . . 39713 1573 1 Among among IN 39713 1573 2 all all PDT 39713 1573 3 the the DT 39713 1573 4 generalizations generalization NNS 39713 1573 5 possible possible JJ 39713 1573 6 , , , 39713 1573 7 we -PRON- PRP 39713 1573 8 must must MD 39713 1573 9 choose choose VB 39713 1573 10 , , , 39713 1573 11 and and CC 39713 1573 12 we -PRON- PRP 39713 1573 13 can can MD 39713 1573 14 only only RB 39713 1573 15 choose choose VB 39713 1573 16 the the DT 39713 1573 17 simplest simple JJS 39713 1573 18 . . . 39713 1574 1 We -PRON- PRP 39713 1574 2 are be VBP 39713 1574 3 therefore therefore RB 39713 1574 4 led lead VBN 39713 1574 5 to to TO 39713 1574 6 act act VB 39713 1574 7 as as IN 39713 1574 8 if if IN 39713 1574 9 a a DT 39713 1574 10 simple simple JJ 39713 1574 11 law law NN 39713 1574 12 were be VBD 39713 1574 13 , , , 39713 1574 14 other other JJ 39713 1574 15 things thing NNS 39713 1574 16 being be VBG 39713 1574 17 equal equal JJ 39713 1574 18 , , , 39713 1574 19 more more RBR 39713 1574 20 probable probable JJ 39713 1574 21 than than IN 39713 1574 22 a a DT 39713 1574 23 complicated complicated JJ 39713 1574 24 law law NN 39713 1574 25 . . . 39713 1575 1 Half half PDT 39713 1575 2 a a DT 39713 1575 3 century century NN 39713 1575 4 ago ago RB 39713 1575 5 this this DT 39713 1575 6 was be VBD 39713 1575 7 frankly frankly RB 39713 1575 8 confessed confess VBN 39713 1575 9 , , , 39713 1575 10 and and CC 39713 1575 11 it -PRON- PRP 39713 1575 12 was be VBD 39713 1575 13 proclaimed proclaim VBN 39713 1575 14 that that IN 39713 1575 15 nature nature NN 39713 1575 16 loves love VBZ 39713 1575 17 simplicity simplicity NN 39713 1575 18 ; ; : 39713 1575 19 she -PRON- PRP 39713 1575 20 has have VBZ 39713 1575 21 since since RB 39713 1575 22 too too RB 39713 1575 23 often often RB 39713 1575 24 given give VBN 39713 1575 25 us -PRON- PRP 39713 1575 26 the the DT 39713 1575 27 lie lie NN 39713 1575 28 . . . 39713 1576 1 To to IN 39713 1576 2 - - HYPH 39713 1576 3 day day NN 39713 1576 4 we -PRON- PRP 39713 1576 5 no no RB 39713 1576 6 longer long RBR 39713 1576 7 confess confess JJ 39713 1576 8 this this DT 39713 1576 9 tendency tendency NN 39713 1576 10 , , , 39713 1576 11 and and CC 39713 1576 12 we -PRON- PRP 39713 1576 13 retain retain VBP 39713 1576 14 only only RB 39713 1576 15 so so RB 39713 1576 16 much much JJ 39713 1576 17 of of IN 39713 1576 18 it -PRON- PRP 39713 1576 19 as as IN 39713 1576 20 is be VBZ 39713 1576 21 indispensable indispensable JJ 39713 1576 22 if if IN 39713 1576 23 science science NN 39713 1576 24 is be VBZ 39713 1576 25 not not RB 39713 1576 26 to to TO 39713 1576 27 become become VB 39713 1576 28 impossible impossible JJ 39713 1576 29 . . . 39713 1577 1 In in IN 39713 1577 2 formulating formulate VBG 39713 1577 3 a a DT 39713 1577 4 general general JJ 39713 1577 5 , , , 39713 1577 6 simple simple JJ 39713 1577 7 and and CC 39713 1577 8 precise precise JJ 39713 1577 9 law law NN 39713 1577 10 on on IN 39713 1577 11 the the DT 39713 1577 12 basis basis NN 39713 1577 13 of of IN 39713 1577 14 experiments experiment NNS 39713 1577 15 relatively relatively RB 39713 1577 16 few few JJ 39713 1577 17 and and CC 39713 1577 18 presenting present VBG 39713 1577 19 certain certain JJ 39713 1577 20 divergences divergence NNS 39713 1577 21 , , , 39713 1577 22 we -PRON- PRP 39713 1577 23 have have VBP 39713 1577 24 therefore therefore RB 39713 1577 25 only only RB 39713 1577 26 obeyed obey VBN 39713 1577 27 a a DT 39713 1577 28 necessity necessity NN 39713 1577 29 from from IN 39713 1577 30 which which WDT 39713 1577 31 the the DT 39713 1577 32 human human JJ 39713 1577 33 mind mind NN 39713 1577 34 can can MD 39713 1577 35 not not RB 39713 1577 36 free free VB 39713 1577 37 itself -PRON- PRP 39713 1577 38 . . . 39713 1578 1 But but CC 39713 1578 2 there there EX 39713 1578 3 is be VBZ 39713 1578 4 something something NN 39713 1578 5 more more JJR 39713 1578 6 , , , 39713 1578 7 and and CC 39713 1578 8 this this DT 39713 1578 9 is be VBZ 39713 1578 10 why why WRB 39713 1578 11 I -PRON- PRP 39713 1578 12 dwell dwell VBP 39713 1578 13 upon upon IN 39713 1578 14 the the DT 39713 1578 15 point point NN 39713 1578 16 . . . 39713 1579 1 No no DT 39713 1579 2 one one NN 39713 1579 3 doubts doubt VBZ 39713 1579 4 that that IN 39713 1579 5 Mayer Mayer NNP 39713 1579 6 's 's POS 39713 1579 7 principle principle NN 39713 1579 8 is be VBZ 39713 1579 9 destined destine VBN 39713 1579 10 to to TO 39713 1579 11 survive survive VB 39713 1579 12 all all PDT 39713 1579 13 the the DT 39713 1579 14 particular particular JJ 39713 1579 15 laws law NNS 39713 1579 16 from from IN 39713 1579 17 which which WDT 39713 1579 18 it -PRON- PRP 39713 1579 19 was be VBD 39713 1579 20 obtained obtain VBN 39713 1579 21 , , , 39713 1579 22 just just RB 39713 1579 23 as as IN 39713 1579 24 Newton Newton NNP 39713 1579 25 's 's POS 39713 1579 26 law law NN 39713 1579 27 has have VBZ 39713 1579 28 survived survive VBN 39713 1579 29 Kepler Kepler NNP 39713 1579 30 's 's POS 39713 1579 31 laws law NNS 39713 1579 32 , , , 39713 1579 33 from from IN 39713 1579 34 which which WDT 39713 1579 35 it -PRON- PRP 39713 1579 36 sprang spring VBD 39713 1579 37 , , , 39713 1579 38 and and CC 39713 1579 39 which which WDT 39713 1579 40 are be VBP 39713 1579 41 only only RB 39713 1579 42 approximative approximative JJ 39713 1579 43 if if IN 39713 1579 44 account account NN 39713 1579 45 be be VB 39713 1579 46 taken take VBN 39713 1579 47 of of IN 39713 1579 48 perturbations perturbation NNS 39713 1579 49 . . . 39713 1580 1 Why why WRB 39713 1580 2 does do VBZ 39713 1580 3 this this DT 39713 1580 4 principle principle JJ 39713 1580 5 occupy occupy VB 39713 1580 6 thus thus RB 39713 1580 7 a a DT 39713 1580 8 sort sort NN 39713 1580 9 of of IN 39713 1580 10 privileged privileged JJ 39713 1580 11 place place NN 39713 1580 12 among among IN 39713 1580 13 all all PDT 39713 1580 14 the the DT 39713 1580 15 physical physical JJ 39713 1580 16 laws law NNS 39713 1580 17 ? ? . 39713 1581 1 There there EX 39713 1581 2 are be VBP 39713 1581 3 many many JJ 39713 1581 4 little little JJ 39713 1581 5 reasons reason NNS 39713 1581 6 for for IN 39713 1581 7 it -PRON- PRP 39713 1581 8 . . . 39713 1582 1 First first RB 39713 1582 2 of of IN 39713 1582 3 all all DT 39713 1582 4 it -PRON- PRP 39713 1582 5 is be VBZ 39713 1582 6 believed believe VBN 39713 1582 7 that that IN 39713 1582 8 we -PRON- PRP 39713 1582 9 could could MD 39713 1582 10 not not RB 39713 1582 11 reject reject VB 39713 1582 12 it -PRON- PRP 39713 1582 13 or or CC 39713 1582 14 even even RB 39713 1582 15 doubt doubt VB 39713 1582 16 its -PRON- PRP$ 39713 1582 17 absolute absolute JJ 39713 1582 18 rigor rigor NN 39713 1582 19 without without IN 39713 1582 20 admitting admit VBG 39713 1582 21 the the DT 39713 1582 22 possibility possibility NN 39713 1582 23 of of IN 39713 1582 24 perpetual perpetual JJ 39713 1582 25 motion motion NN 39713 1582 26 ; ; : 39713 1582 27 of of IN 39713 1582 28 course course NN 39713 1582 29 we -PRON- PRP 39713 1582 30 are be VBP 39713 1582 31 on on IN 39713 1582 32 our -PRON- PRP$ 39713 1582 33 guard guard NN 39713 1582 34 at at IN 39713 1582 35 such such PDT 39713 1582 36 a a DT 39713 1582 37 prospect prospect NN 39713 1582 38 , , , 39713 1582 39 and and CC 39713 1582 40 we -PRON- PRP 39713 1582 41 think think VBP 39713 1582 42 ourselves -PRON- PRP 39713 1582 43 less less RBR 39713 1582 44 rash rash JJ 39713 1582 45 in in IN 39713 1582 46 affirming affirm VBG 39713 1582 47 Mayer Mayer NNP 39713 1582 48 's 's POS 39713 1582 49 principle principle NN 39713 1582 50 than than IN 39713 1582 51 in in IN 39713 1582 52 denying deny VBG 39713 1582 53 it -PRON- PRP 39713 1582 54 . . . 39713 1583 1 That that DT 39713 1583 2 is be VBZ 39713 1583 3 perhaps perhaps RB 39713 1583 4 not not RB 39713 1583 5 wholly wholly RB 39713 1583 6 accurate accurate JJ 39713 1583 7 ; ; : 39713 1583 8 the the DT 39713 1583 9 impossibility impossibility NN 39713 1583 10 of of IN 39713 1583 11 perpetual perpetual JJ 39713 1583 12 motion motion NN 39713 1583 13 implies imply VBZ 39713 1583 14 the the DT 39713 1583 15 conservation conservation NN 39713 1583 16 of of IN 39713 1583 17 energy energy NN 39713 1583 18 only only RB 39713 1583 19 for for IN 39713 1583 20 reversible reversible JJ 39713 1583 21 phenomena phenomenon NNS 39713 1583 22 . . . 39713 1584 1 The the DT 39713 1584 2 imposing impose VBG 39713 1584 3 simplicity simplicity NN 39713 1584 4 of of IN 39713 1584 5 Mayer Mayer NNP 39713 1584 6 's 's POS 39713 1584 7 principle principle NN 39713 1584 8 likewise likewise RB 39713 1584 9 contributes contribute VBZ 39713 1584 10 to to TO 39713 1584 11 strengthen strengthen VB 39713 1584 12 our -PRON- PRP$ 39713 1584 13 faith faith NN 39713 1584 14 . . . 39713 1585 1 In in IN 39713 1585 2 a a DT 39713 1585 3 law law NN 39713 1585 4 deduced deduce VBN 39713 1585 5 immediately immediately RB 39713 1585 6 from from IN 39713 1585 7 experiment experiment NN 39713 1585 8 , , , 39713 1585 9 like like IN 39713 1585 10 Mariotte Mariotte NNP 39713 1585 11 's 's POS 39713 1585 12 , , , 39713 1585 13 this this DT 39713 1585 14 simplicity simplicity NN 39713 1585 15 would would MD 39713 1585 16 rather rather RB 39713 1585 17 seem seem VB 39713 1585 18 to to IN 39713 1585 19 us -PRON- PRP 39713 1585 20 a a DT 39713 1585 21 reason reason NN 39713 1585 22 for for IN 39713 1585 23 distrust distrust NN 39713 1585 24 ; ; : 39713 1585 25 but but CC 39713 1585 26 here here RB 39713 1585 27 this this DT 39713 1585 28 is be VBZ 39713 1585 29 no no RB 39713 1585 30 longer long RBR 39713 1585 31 the the DT 39713 1585 32 case case NN 39713 1585 33 ; ; : 39713 1585 34 we -PRON- PRP 39713 1585 35 see see VBP 39713 1585 36 elements element NNS 39713 1585 37 , , , 39713 1585 38 at at IN 39713 1585 39 first first JJ 39713 1585 40 sight sight NN 39713 1585 41 disparate disparate NN 39713 1585 42 , , , 39713 1585 43 arrange arrange VB 39713 1585 44 themselves -PRON- PRP 39713 1585 45 in in IN 39713 1585 46 an an DT 39713 1585 47 unexpected unexpected JJ 39713 1585 48 order order NN 39713 1585 49 and and CC 39713 1585 50 form form VB 39713 1585 51 a a DT 39713 1585 52 harmonious harmonious JJ 39713 1585 53 whole whole NN 39713 1585 54 ; ; : 39713 1585 55 and and CC 39713 1585 56 we -PRON- PRP 39713 1585 57 refuse refuse VBP 39713 1585 58 to to TO 39713 1585 59 believe believe VB 39713 1585 60 that that IN 39713 1585 61 an an DT 39713 1585 62 unforeseen unforeseen JJ 39713 1585 63 harmony harmony NN 39713 1585 64 may may MD 39713 1585 65 be be VB 39713 1585 66 a a DT 39713 1585 67 simple simple JJ 39713 1585 68 effect effect NN 39713 1585 69 of of IN 39713 1585 70 chance chance NN 39713 1585 71 . . . 39713 1586 1 It -PRON- PRP 39713 1586 2 seems seem VBZ 39713 1586 3 that that IN 39713 1586 4 our -PRON- PRP$ 39713 1586 5 conquest conquest NN 39713 1586 6 is be VBZ 39713 1586 7 the the DT 39713 1586 8 dearer dearer NN 39713 1586 9 to to IN 39713 1586 10 us -PRON- PRP 39713 1586 11 the the DT 39713 1586 12 more more JJR 39713 1586 13 effort effort NN 39713 1586 14 it -PRON- PRP 39713 1586 15 has have VBZ 39713 1586 16 cost cost VBN 39713 1586 17 us -PRON- PRP 39713 1586 18 , , , 39713 1586 19 or or CC 39713 1586 20 that that IN 39713 1586 21 we -PRON- PRP 39713 1586 22 are be VBP 39713 1586 23 the the DT 39713 1586 24 surer surer NN 39713 1586 25 of of IN 39713 1586 26 having have VBG 39713 1586 27 wrested wrest VBN 39713 1586 28 her -PRON- PRP$ 39713 1586 29 true true JJ 39713 1586 30 secret secret NN 39713 1586 31 from from IN 39713 1586 32 nature nature NN 39713 1586 33 the the DT 39713 1586 34 more more RBR 39713 1586 35 jealously jealously RB 39713 1586 36 she -PRON- PRP 39713 1586 37 has have VBZ 39713 1586 38 hidden hide VBN 39713 1586 39 it -PRON- PRP 39713 1586 40 from from IN 39713 1586 41 us -PRON- PRP 39713 1586 42 . . . 39713 1587 1 But but CC 39713 1587 2 those those DT 39713 1587 3 are be VBP 39713 1587 4 only only RB 39713 1587 5 little little JJ 39713 1587 6 reasons reason NNS 39713 1587 7 ; ; : 39713 1587 8 to to TO 39713 1587 9 establish establish VB 39713 1587 10 Mayer Mayer NNP 39713 1587 11 's 's POS 39713 1587 12 law law NN 39713 1587 13 as as IN 39713 1587 14 an an DT 39713 1587 15 absolute absolute JJ 39713 1587 16 principle principle NN 39713 1587 17 , , , 39713 1587 18 a a DT 39713 1587 19 more more RBR 39713 1587 20 profound profound JJ 39713 1587 21 discussion discussion NN 39713 1587 22 is be VBZ 39713 1587 23 necessary necessary JJ 39713 1587 24 . . . 39713 1588 1 But but CC 39713 1588 2 if if IN 39713 1588 3 this this DT 39713 1588 4 be be VB 39713 1588 5 attempted attempt VBN 39713 1588 6 , , , 39713 1588 7 it -PRON- PRP 39713 1588 8 is be VBZ 39713 1588 9 seen see VBN 39713 1588 10 that that IN 39713 1588 11 this this DT 39713 1588 12 absolute absolute JJ 39713 1588 13 principle principle NN 39713 1588 14 is be VBZ 39713 1588 15 not not RB 39713 1588 16 even even RB 39713 1588 17 easy easy JJ 39713 1588 18 to to TO 39713 1588 19 state state NN 39713 1588 20 . . . 39713 1589 1 In in IN 39713 1589 2 each each DT 39713 1589 3 particular particular JJ 39713 1589 4 case case NN 39713 1589 5 it -PRON- PRP 39713 1589 6 is be VBZ 39713 1589 7 clearly clearly RB 39713 1589 8 seen see VBN 39713 1589 9 what what WDT 39713 1589 10 energy energy NN 39713 1589 11 is be VBZ 39713 1589 12 and and CC 39713 1589 13 at at IN 39713 1589 14 least least JJS 39713 1589 15 a a DT 39713 1589 16 provisional provisional JJ 39713 1589 17 definition definition NN 39713 1589 18 of of IN 39713 1589 19 it -PRON- PRP 39713 1589 20 can can MD 39713 1589 21 be be VB 39713 1589 22 given give VBN 39713 1589 23 ; ; : 39713 1589 24 but but CC 39713 1589 25 it -PRON- PRP 39713 1589 26 is be VBZ 39713 1589 27 impossible impossible JJ 39713 1589 28 to to TO 39713 1589 29 find find VB 39713 1589 30 a a DT 39713 1589 31 general general JJ 39713 1589 32 definition definition NN 39713 1589 33 for for IN 39713 1589 34 it -PRON- PRP 39713 1589 35 . . . 39713 1590 1 If if IN 39713 1590 2 we -PRON- PRP 39713 1590 3 try try VBP 39713 1590 4 to to TO 39713 1590 5 enunciate enunciate VB 39713 1590 6 the the DT 39713 1590 7 principle principle NN 39713 1590 8 in in IN 39713 1590 9 all all DT 39713 1590 10 its -PRON- PRP$ 39713 1590 11 generality generality NN 39713 1590 12 and and CC 39713 1590 13 apply apply VB 39713 1590 14 it -PRON- PRP 39713 1590 15 to to IN 39713 1590 16 the the DT 39713 1590 17 universe universe NN 39713 1590 18 , , , 39713 1590 19 we -PRON- PRP 39713 1590 20 see see VBP 39713 1590 21 it -PRON- PRP 39713 1590 22 vanish vanish VB 39713 1590 23 , , , 39713 1590 24 so so RB 39713 1590 25 to to TO 39713 1590 26 speak speak VB 39713 1590 27 , , , 39713 1590 28 and and CC 39713 1590 29 nothing nothing NN 39713 1590 30 is be VBZ 39713 1590 31 left leave VBN 39713 1590 32 but but CC 39713 1590 33 this this DT 39713 1590 34 : : : 39713 1590 35 _ _ NNP 39713 1590 36 There there EX 39713 1590 37 is be VBZ 39713 1590 38 something something NN 39713 1590 39 which which WDT 39713 1590 40 remains remain VBZ 39713 1590 41 constant constant JJ 39713 1590 42 _ _ NNP 39713 1590 43 . . . 39713 1591 1 But but CC 39713 1591 2 has have VBZ 39713 1591 3 even even RB 39713 1591 4 this this DT 39713 1591 5 any any DT 39713 1591 6 meaning meaning NN 39713 1591 7 ? ? . 39713 1592 1 In in IN 39713 1592 2 the the DT 39713 1592 3 determinist determinist JJ 39713 1592 4 hypothesis hypothesis NN 39713 1592 5 , , , 39713 1592 6 the the DT 39713 1592 7 state state NN 39713 1592 8 of of IN 39713 1592 9 the the DT 39713 1592 10 universe universe NN 39713 1592 11 is be VBZ 39713 1592 12 determined determine VBN 39713 1592 13 by by IN 39713 1592 14 an an DT 39713 1592 15 extremely extremely RB 39713 1592 16 great great JJ 39713 1592 17 number number NN 39713 1592 18 _ _ NNP 39713 1592 19 n n NNP 39713 1592 20 _ _ NNP 39713 1592 21 of of IN 39713 1592 22 parameters parameter NNS 39713 1592 23 which which WDT 39713 1592 24 I -PRON- PRP 39713 1592 25 shall shall MD 39713 1592 26 call call VB 39713 1592 27 x_{1 x_{1 NNP 39713 1592 28 } } -RRB- 39713 1592 29 , , , 39713 1592 30 x_{2 x_{2 NNP 39713 1592 31 } } -RRB- 39713 1592 32 , , , 39713 1592 33 ... ... . 39713 1592 34 x_{_n x_{_n NNP 39713 1592 35 _ _ NNP 39713 1592 36 } } -RRB- 39713 1592 37 . . . 39713 1593 1 As as RB 39713 1593 2 soon soon RB 39713 1593 3 as as IN 39713 1593 4 the the DT 39713 1593 5 values value NNS 39713 1593 6 of of IN 39713 1593 7 these these DT 39713 1593 8 _ _ NNP 39713 1593 9 n n NNP 39713 1593 10 _ _ NNP 39713 1593 11 parameters parameter NNS 39713 1593 12 at at IN 39713 1593 13 any any DT 39713 1593 14 instant instant NN 39713 1593 15 are be VBP 39713 1593 16 known know VBN 39713 1593 17 , , , 39713 1593 18 their -PRON- PRP$ 39713 1593 19 derivatives derivative NNS 39713 1593 20 with with IN 39713 1593 21 respect respect NN 39713 1593 22 to to IN 39713 1593 23 the the DT 39713 1593 24 time time NN 39713 1593 25 are be VBP 39713 1593 26 likewise likewise RB 39713 1593 27 known know VBN 39713 1593 28 and and CC 39713 1593 29 consequently consequently RB 39713 1593 30 the the DT 39713 1593 31 values value NNS 39713 1593 32 of of IN 39713 1593 33 these these DT 39713 1593 34 same same JJ 39713 1593 35 parameters parameter NNS 39713 1593 36 at at IN 39713 1593 37 a a DT 39713 1593 38 preceding precede VBG 39713 1593 39 or or CC 39713 1593 40 subsequent subsequent JJ 39713 1593 41 instant instant NN 39713 1593 42 can can MD 39713 1593 43 be be VB 39713 1593 44 calculated calculate VBN 39713 1593 45 . . . 39713 1594 1 In in IN 39713 1594 2 other other JJ 39713 1594 3 words word NNS 39713 1594 4 , , , 39713 1594 5 these these DT 39713 1594 6 _ _ NNP 39713 1594 7 n n NNP 39713 1594 8 _ _ NNP 39713 1594 9 parameters parameter NNS 39713 1594 10 satisfy satisfy VBP 39713 1594 11 _ _ NNP 39713 1594 12 n n CC 39713 1594 13 _ _ NNP 39713 1594 14 differential differential NN 39713 1594 15 equations equation NNS 39713 1594 16 of of IN 39713 1594 17 the the DT 39713 1594 18 first first JJ 39713 1594 19 order order NN 39713 1594 20 . . . 39713 1595 1 These these DT 39713 1595 2 equations equation NNS 39713 1595 3 admit admit VBP 39713 1595 4 of of IN 39713 1595 5 _ _ NNP 39713 1595 6 n n CC 39713 1595 7 _ _ NNP 39713 1595 8 - - HYPH 39713 1595 9 1 1 CD 39713 1595 10 integrals integral NNS 39713 1595 11 and and CC 39713 1595 12 consequently consequently RB 39713 1595 13 there there EX 39713 1595 14 are be VBP 39713 1595 15 _ _ NNP 39713 1595 16 n n CC 39713 1595 17 _ _ NNP 39713 1595 18 - - HYPH 39713 1595 19 1 1 CD 39713 1595 20 functions function NNS 39713 1595 21 of of IN 39713 1595 22 x_{1 x_{1 NNP 39713 1595 23 } } -RRB- 39713 1595 24 , , , 39713 1595 25 x_{2 x_{2 NNP 39713 1595 26 } } -RRB- 39713 1595 27 , , , 39713 1595 28 ... ... . 39713 1595 29 x_{_n x_{_n NNP 39713 1595 30 _ _ NNP 39713 1595 31 } } -RRB- 39713 1595 32 , , , 39713 1595 33 which which WDT 39713 1595 34 remain remain VBP 39713 1595 35 constant constant JJ 39713 1595 36 . . . 39713 1596 1 _ _ XX 39713 1596 2 If if IN 39713 1596 3 then then RB 39713 1596 4 we -PRON- PRP 39713 1596 5 say say VBP 39713 1596 6 there there EX 39713 1596 7 is be VBZ 39713 1596 8 something something NN 39713 1596 9 which which WDT 39713 1596 10 remains remain VBZ 39713 1596 11 constant constant JJ 39713 1596 12 _ _ NNP 39713 1596 13 , , , 39713 1596 14 we -PRON- PRP 39713 1596 15 only only RB 39713 1596 16 utter utter VBP 39713 1596 17 a a DT 39713 1596 18 tautology tautology NN 39713 1596 19 . . . 39713 1597 1 We -PRON- PRP 39713 1597 2 should should MD 39713 1597 3 even even RB 39713 1597 4 be be VB 39713 1597 5 puzzled puzzle VBN 39713 1597 6 to to TO 39713 1597 7 say say VB 39713 1597 8 which which WDT 39713 1597 9 among among IN 39713 1597 10 all all DT 39713 1597 11 our -PRON- PRP$ 39713 1597 12 integrals integral NNS 39713 1597 13 should should MD 39713 1597 14 retain retain VB 39713 1597 15 the the DT 39713 1597 16 name name NN 39713 1597 17 of of IN 39713 1597 18 energy energy NN 39713 1597 19 . . . 39713 1598 1 Besides besides RB 39713 1598 2 , , , 39713 1598 3 Mayer Mayer NNP 39713 1598 4 's 's POS 39713 1598 5 principle principle NN 39713 1598 6 is be VBZ 39713 1598 7 not not RB 39713 1598 8 understood understand VBN 39713 1598 9 in in IN 39713 1598 10 this this DT 39713 1598 11 sense sense NN 39713 1598 12 when when WRB 39713 1598 13 it -PRON- PRP 39713 1598 14 is be VBZ 39713 1598 15 applied apply VBN 39713 1598 16 to to IN 39713 1598 17 a a DT 39713 1598 18 limited limited JJ 39713 1598 19 system system NN 39713 1598 20 . . . 39713 1599 1 It -PRON- PRP 39713 1599 2 is be VBZ 39713 1599 3 then then RB 39713 1599 4 assumed assume VBN 39713 1599 5 that that IN 39713 1599 6 _ _ NNP 39713 1599 7 p p NNP 39713 1599 8 _ _ NNP 39713 1599 9 of of IN 39713 1599 10 our -PRON- PRP$ 39713 1599 11 parameters parameter NNS 39713 1599 12 vary vary VBP 39713 1599 13 independently independently RB 39713 1599 14 , , , 39713 1599 15 so so IN 39713 1599 16 that that IN 39713 1599 17 we -PRON- PRP 39713 1599 18 only only RB 39713 1599 19 have have VBP 39713 1599 20 _ _ NNP 39713 1599 21 n n CC 39713 1599 22 _ _ NNP 39713 1599 23 - - HYPH 39713 1599 24 _ _ NNP 39713 1599 25 p p NNP 39713 1599 26 _ _ NNP 39713 1599 27 relations relation NNS 39713 1599 28 , , , 39713 1599 29 generally generally RB 39713 1599 30 linear linear JJ 39713 1599 31 , , , 39713 1599 32 between between IN 39713 1599 33 our -PRON- PRP$ 39713 1599 34 _ _ NNP 39713 1599 35 n n NNP 39713 1599 36 _ _ NNP 39713 1599 37 parameters parameter NNS 39713 1599 38 and and CC 39713 1599 39 their -PRON- PRP$ 39713 1599 40 derivatives derivative NNS 39713 1599 41 . . . 39713 1600 1 To to TO 39713 1600 2 simplify simplify VB 39713 1600 3 the the DT 39713 1600 4 enunciation enunciation NN 39713 1600 5 , , , 39713 1600 6 suppose suppose VB 39713 1600 7 that that IN 39713 1600 8 the the DT 39713 1600 9 sum sum NN 39713 1600 10 of of IN 39713 1600 11 the the DT 39713 1600 12 work work NN 39713 1600 13 of of IN 39713 1600 14 the the DT 39713 1600 15 external external JJ 39713 1600 16 forces force NNS 39713 1600 17 is be VBZ 39713 1600 18 null null JJ 39713 1600 19 , , , 39713 1600 20 as as RB 39713 1600 21 well well RB 39713 1600 22 as as IN 39713 1600 23 that that DT 39713 1600 24 of of IN 39713 1600 25 the the DT 39713 1600 26 quantities quantity NNS 39713 1600 27 of of IN 39713 1600 28 heat heat NN 39713 1600 29 given give VBN 39713 1600 30 off off RP 39713 1600 31 to to IN 39713 1600 32 the the DT 39713 1600 33 outside outside NN 39713 1600 34 . . . 39713 1601 1 Then then RB 39713 1601 2 the the DT 39713 1601 3 signification signification NN 39713 1601 4 of of IN 39713 1601 5 our -PRON- PRP$ 39713 1601 6 principle principle NN 39713 1601 7 will will MD 39713 1601 8 be be VB 39713 1601 9 : : : 39713 1601 10 _ _ NNP 39713 1601 11 There there EX 39713 1601 12 is be VBZ 39713 1601 13 a a DT 39713 1601 14 combination combination NN 39713 1601 15 of of IN 39713 1601 16 these these DT 39713 1601 17 n n JJ 39713 1601 18 - - HYPH 39713 1601 19 p p NN 39713 1601 20 relations relation NNS 39713 1601 21 whose whose WP$ 39713 1601 22 first first JJ 39713 1601 23 member member NN 39713 1601 24 is be VBZ 39713 1601 25 an an DT 39713 1601 26 exact exact JJ 39713 1601 27 differential differential NN 39713 1601 28 _ _ NN 39713 1601 29 ; ; : 39713 1601 30 and and CC 39713 1601 31 then then RB 39713 1601 32 this this DT 39713 1601 33 differential differential NN 39713 1601 34 vanishing vanish VBG 39713 1601 35 in in IN 39713 1601 36 virtue virtue NN 39713 1601 37 of of IN 39713 1601 38 our -PRON- PRP$ 39713 1601 39 _ _ NNP 39713 1601 40 n n CC 39713 1601 41 _ _ NNP 39713 1601 42 - - HYPH 39713 1601 43 _ _ NNP 39713 1601 44 p p NNP 39713 1601 45 _ _ NNP 39713 1601 46 relations relation NNS 39713 1601 47 , , , 39713 1601 48 its -PRON- PRP$ 39713 1601 49 integral integral NN 39713 1601 50 is be VBZ 39713 1601 51 a a DT 39713 1601 52 constant constant JJ 39713 1601 53 and and CC 39713 1601 54 this this DT 39713 1601 55 integral integral NN 39713 1601 56 is be VBZ 39713 1601 57 called call VBN 39713 1601 58 energy energy NN 39713 1601 59 . . . 39713 1602 1 But but CC 39713 1602 2 how how WRB 39713 1602 3 can can MD 39713 1602 4 it -PRON- PRP 39713 1602 5 be be VB 39713 1602 6 possible possible JJ 39713 1602 7 that that IN 39713 1602 8 there there EX 39713 1602 9 are be VBP 39713 1602 10 several several JJ 39713 1602 11 parameters parameter NNS 39713 1602 12 whose whose WP$ 39713 1602 13 variations variation NNS 39713 1602 14 are be VBP 39713 1602 15 independent independent JJ 39713 1602 16 ? ? . 39713 1603 1 That that DT 39713 1603 2 can can MD 39713 1603 3 only only RB 39713 1603 4 happen happen VB 39713 1603 5 under under IN 39713 1603 6 the the DT 39713 1603 7 influence influence NN 39713 1603 8 of of IN 39713 1603 9 external external JJ 39713 1603 10 forces force NNS 39713 1603 11 ( ( -LRB- 39713 1603 12 although although IN 39713 1603 13 we -PRON- PRP 39713 1603 14 have have VBP 39713 1603 15 supposed suppose VBN 39713 1603 16 , , , 39713 1603 17 for for IN 39713 1603 18 simplicity simplicity NN 39713 1603 19 , , , 39713 1603 20 that that IN 39713 1603 21 the the DT 39713 1603 22 algebraic algebraic NN 39713 1603 23 sum sum NN 39713 1603 24 of of IN 39713 1603 25 the the DT 39713 1603 26 effects effect NNS 39713 1603 27 of of IN 39713 1603 28 these these DT 39713 1603 29 forces force NNS 39713 1603 30 is be VBZ 39713 1603 31 null null JJ 39713 1603 32 ) ) -RRB- 39713 1603 33 . . . 39713 1604 1 In in IN 39713 1604 2 fact fact NN 39713 1604 3 , , , 39713 1604 4 if if IN 39713 1604 5 the the DT 39713 1604 6 system system NN 39713 1604 7 were be VBD 39713 1604 8 completely completely RB 39713 1604 9 isolated isolated JJ 39713 1604 10 from from IN 39713 1604 11 all all DT 39713 1604 12 external external JJ 39713 1604 13 action action NN 39713 1604 14 , , , 39713 1604 15 the the DT 39713 1604 16 values value NNS 39713 1604 17 of of IN 39713 1604 18 our -PRON- PRP$ 39713 1604 19 _ _ NNP 39713 1604 20 n n NNP 39713 1604 21 _ _ NNP 39713 1604 22 parameters parameter NNS 39713 1604 23 at at IN 39713 1604 24 a a DT 39713 1604 25 given give VBN 39713 1604 26 instant instant NN 39713 1604 27 would would MD 39713 1604 28 suffice suffice VB 39713 1604 29 to to TO 39713 1604 30 determine determine VB 39713 1604 31 the the DT 39713 1604 32 state state NN 39713 1604 33 of of IN 39713 1604 34 the the DT 39713 1604 35 system system NN 39713 1604 36 at at IN 39713 1604 37 any any DT 39713 1604 38 subsequent subsequent JJ 39713 1604 39 instant instant NN 39713 1604 40 , , , 39713 1604 41 provided provide VBN 39713 1604 42 always always RB 39713 1604 43 we -PRON- PRP 39713 1604 44 retain retain VBP 39713 1604 45 the the DT 39713 1604 46 determinist determinist JJ 39713 1604 47 hypothesis hypothesis NN 39713 1604 48 ; ; : 39713 1604 49 we -PRON- PRP 39713 1604 50 come come VBP 39713 1604 51 back back RB 39713 1604 52 therefore therefore RB 39713 1604 53 to to IN 39713 1604 54 the the DT 39713 1604 55 same same JJ 39713 1604 56 difficulty difficulty NN 39713 1604 57 as as IN 39713 1604 58 above above RB 39713 1604 59 . . . 39713 1605 1 If if IN 39713 1605 2 the the DT 39713 1605 3 future future JJ 39713 1605 4 state state NN 39713 1605 5 of of IN 39713 1605 6 the the DT 39713 1605 7 system system NN 39713 1605 8 is be VBZ 39713 1605 9 not not RB 39713 1605 10 entirely entirely RB 39713 1605 11 determined determine VBN 39713 1605 12 by by IN 39713 1605 13 its -PRON- PRP$ 39713 1605 14 present present JJ 39713 1605 15 state state NN 39713 1605 16 , , , 39713 1605 17 this this DT 39713 1605 18 is be VBZ 39713 1605 19 because because IN 39713 1605 20 it -PRON- PRP 39713 1605 21 depends depend VBZ 39713 1605 22 besides besides IN 39713 1605 23 upon upon IN 39713 1605 24 the the DT 39713 1605 25 state state NN 39713 1605 26 of of IN 39713 1605 27 bodies body NNS 39713 1605 28 external external JJ 39713 1605 29 to to IN 39713 1605 30 the the DT 39713 1605 31 system system NN 39713 1605 32 . . . 39713 1606 1 But but CC 39713 1606 2 then then RB 39713 1606 3 is be VBZ 39713 1606 4 it -PRON- PRP 39713 1606 5 probable probable JJ 39713 1606 6 that that IN 39713 1606 7 there there EX 39713 1606 8 exist exist VBP 39713 1606 9 between between IN 39713 1606 10 the the DT 39713 1606 11 parameters parameter NNS 39713 1606 12 _ _ NNP 39713 1606 13 x x NNP 39713 1606 14 _ _ NNP 39713 1606 15 , , , 39713 1606 16 which which WDT 39713 1606 17 define define VBP 39713 1606 18 the the DT 39713 1606 19 state state NN 39713 1606 20 of of IN 39713 1606 21 the the DT 39713 1606 22 system system NN 39713 1606 23 , , , 39713 1606 24 equations equation NNS 39713 1606 25 independent independent JJ 39713 1606 26 of of IN 39713 1606 27 this this DT 39713 1606 28 state state NN 39713 1606 29 of of IN 39713 1606 30 the the DT 39713 1606 31 external external JJ 39713 1606 32 bodies body NNS 39713 1606 33 ? ? . 39713 1607 1 and and CC 39713 1607 2 if if IN 39713 1607 3 in in IN 39713 1607 4 certain certain JJ 39713 1607 5 cases case NNS 39713 1607 6 we -PRON- PRP 39713 1607 7 believe believe VBP 39713 1607 8 we -PRON- PRP 39713 1607 9 can can MD 39713 1607 10 find find VB 39713 1607 11 such such JJ 39713 1607 12 , , , 39713 1607 13 is be VBZ 39713 1607 14 this this DT 39713 1607 15 not not RB 39713 1607 16 solely solely RB 39713 1607 17 in in IN 39713 1607 18 consequence consequence NN 39713 1607 19 of of IN 39713 1607 20 our -PRON- PRP$ 39713 1607 21 ignorance ignorance NN 39713 1607 22 and and CC 39713 1607 23 because because IN 39713 1607 24 the the DT 39713 1607 25 influence influence NN 39713 1607 26 of of IN 39713 1607 27 these these DT 39713 1607 28 bodies body NNS 39713 1607 29 is be VBZ 39713 1607 30 too too RB 39713 1607 31 slight slight JJ 39713 1607 32 for for IN 39713 1607 33 our -PRON- PRP$ 39713 1607 34 experimenting experiment VBG 39713 1607 35 to to TO 39713 1607 36 detect detect VB 39713 1607 37 it -PRON- PRP 39713 1607 38 ? ? . 39713 1608 1 If if IN 39713 1608 2 the the DT 39713 1608 3 system system NN 39713 1608 4 is be VBZ 39713 1608 5 not not RB 39713 1608 6 regarded regard VBN 39713 1608 7 as as RB 39713 1608 8 completely completely RB 39713 1608 9 isolated isolate VBN 39713 1608 10 , , , 39713 1608 11 it -PRON- PRP 39713 1608 12 is be VBZ 39713 1608 13 probable probable JJ 39713 1608 14 that that IN 39713 1608 15 the the DT 39713 1608 16 rigorously rigorously RB 39713 1608 17 exact exact JJ 39713 1608 18 expression expression NN 39713 1608 19 of of IN 39713 1608 20 its -PRON- PRP$ 39713 1608 21 internal internal JJ 39713 1608 22 energy energy NN 39713 1608 23 will will MD 39713 1608 24 depend depend VB 39713 1608 25 on on IN 39713 1608 26 the the DT 39713 1608 27 state state NN 39713 1608 28 of of IN 39713 1608 29 the the DT 39713 1608 30 external external JJ 39713 1608 31 bodies body NNS 39713 1608 32 . . . 39713 1609 1 Again again RB 39713 1609 2 , , , 39713 1609 3 I -PRON- PRP 39713 1609 4 have have VBP 39713 1609 5 above above RB 39713 1609 6 supposed suppose VBN 39713 1609 7 the the DT 39713 1609 8 sum sum NN 39713 1609 9 of of IN 39713 1609 10 the the DT 39713 1609 11 external external JJ 39713 1609 12 work work NN 39713 1609 13 was be VBD 39713 1609 14 null null JJ 39713 1609 15 , , , 39713 1609 16 and and CC 39713 1609 17 if if IN 39713 1609 18 we -PRON- PRP 39713 1609 19 try try VBP 39713 1609 20 to to TO 39713 1609 21 free free VB 39713 1609 22 ourselves -PRON- PRP 39713 1609 23 from from IN 39713 1609 24 this this DT 39713 1609 25 rather rather RB 39713 1609 26 artificial artificial JJ 39713 1609 27 restriction restriction NN 39713 1609 28 , , , 39713 1609 29 the the DT 39713 1609 30 enunciation enunciation NN 39713 1609 31 becomes become VBZ 39713 1609 32 still still RB 39713 1609 33 more more RBR 39713 1609 34 difficult difficult JJ 39713 1609 35 . . . 39713 1610 1 To to TO 39713 1610 2 formulate formulate VB 39713 1610 3 Mayer Mayer NNP 39713 1610 4 's 's POS 39713 1610 5 principle principle NN 39713 1610 6 in in IN 39713 1610 7 an an DT 39713 1610 8 absolute absolute JJ 39713 1610 9 sense sense NN 39713 1610 10 , , , 39713 1610 11 it -PRON- PRP 39713 1610 12 is be VBZ 39713 1610 13 therefore therefore RB 39713 1610 14 necessary necessary JJ 39713 1610 15 to to TO 39713 1610 16 extend extend VB 39713 1610 17 it -PRON- PRP 39713 1610 18 to to IN 39713 1610 19 the the DT 39713 1610 20 whole whole JJ 39713 1610 21 universe universe NN 39713 1610 22 , , , 39713 1610 23 and and CC 39713 1610 24 then then RB 39713 1610 25 we -PRON- PRP 39713 1610 26 find find VBP 39713 1610 27 ourselves -PRON- PRP 39713 1610 28 face face NN 39713 1610 29 to to IN 39713 1610 30 face face NN 39713 1610 31 with with IN 39713 1610 32 the the DT 39713 1610 33 very very JJ 39713 1610 34 difficulty difficulty NN 39713 1610 35 we -PRON- PRP 39713 1610 36 sought seek VBD 39713 1610 37 to to TO 39713 1610 38 avoid avoid VB 39713 1610 39 . . . 39713 1611 1 In in IN 39713 1611 2 conclusion conclusion NN 39713 1611 3 , , , 39713 1611 4 using use VBG 39713 1611 5 ordinary ordinary JJ 39713 1611 6 language language NN 39713 1611 7 , , , 39713 1611 8 the the DT 39713 1611 9 law law NN 39713 1611 10 of of IN 39713 1611 11 the the DT 39713 1611 12 conservation conservation NN 39713 1611 13 of of IN 39713 1611 14 energy energy NN 39713 1611 15 can can MD 39713 1611 16 have have VB 39713 1611 17 only only RB 39713 1611 18 one one CD 39713 1611 19 signification signification NN 39713 1611 20 , , , 39713 1611 21 which which WDT 39713 1611 22 is be VBZ 39713 1611 23 that that IN 39713 1611 24 there there EX 39713 1611 25 is be VBZ 39713 1611 26 a a DT 39713 1611 27 property property NN 39713 1611 28 common common JJ 39713 1611 29 to to IN 39713 1611 30 all all PDT 39713 1611 31 the the DT 39713 1611 32 possibilities possibility NNS 39713 1611 33 ; ; : 39713 1611 34 but but CC 39713 1611 35 on on IN 39713 1611 36 the the DT 39713 1611 37 determinist determinist JJ 39713 1611 38 hypothesis hypothesis NN 39713 1611 39 there there EX 39713 1611 40 is be VBZ 39713 1611 41 only only RB 39713 1611 42 a a DT 39713 1611 43 single single JJ 39713 1611 44 possibility possibility NN 39713 1611 45 , , , 39713 1611 46 and and CC 39713 1611 47 then then RB 39713 1611 48 the the DT 39713 1611 49 law law NN 39713 1611 50 has have VBZ 39713 1611 51 no no RB 39713 1611 52 longer long RBR 39713 1611 53 any any DT 39713 1611 54 meaning meaning NN 39713 1611 55 . . . 39713 1612 1 On on IN 39713 1612 2 the the DT 39713 1612 3 indeterminist indeterminist NN 39713 1612 4 hypothesis hypothesis NN 39713 1612 5 , , , 39713 1612 6 on on IN 39713 1612 7 the the DT 39713 1612 8 contrary contrary NN 39713 1612 9 , , , 39713 1612 10 it -PRON- PRP 39713 1612 11 would would MD 39713 1612 12 have have VB 39713 1612 13 a a DT 39713 1612 14 meaning meaning NN 39713 1612 15 , , , 39713 1612 16 even even RB 39713 1612 17 if if IN 39713 1612 18 it -PRON- PRP 39713 1612 19 were be VBD 39713 1612 20 taken take VBN 39713 1612 21 in in IN 39713 1612 22 an an DT 39713 1612 23 absolute absolute JJ 39713 1612 24 sense sense NN 39713 1612 25 ; ; : 39713 1612 26 it -PRON- PRP 39713 1612 27 would would MD 39713 1612 28 appear appear VB 39713 1612 29 as as IN 39713 1612 30 a a DT 39713 1612 31 limitation limitation NN 39713 1612 32 imposed impose VBN 39713 1612 33 upon upon IN 39713 1612 34 freedom freedom NN 39713 1612 35 . . . 39713 1613 1 But but CC 39713 1613 2 this this DT 39713 1613 3 word word NN 39713 1613 4 reminds remind VBZ 39713 1613 5 me -PRON- PRP 39713 1613 6 that that IN 39713 1613 7 I -PRON- PRP 39713 1613 8 am be VBP 39713 1613 9 digressing digress VBG 39713 1613 10 and and CC 39713 1613 11 am be VBP 39713 1613 12 on on IN 39713 1613 13 the the DT 39713 1613 14 point point NN 39713 1613 15 of of IN 39713 1613 16 leaving leave VBG 39713 1613 17 the the DT 39713 1613 18 domain domain NN 39713 1613 19 of of IN 39713 1613 20 mathematics mathematic NNS 39713 1613 21 and and CC 39713 1613 22 physics physic NNS 39713 1613 23 . . . 39713 1614 1 I -PRON- PRP 39713 1614 2 check check VBP 39713 1614 3 myself -PRON- PRP 39713 1614 4 therefore therefore RB 39713 1614 5 and and CC 39713 1614 6 will will MD 39713 1614 7 stress stress VB 39713 1614 8 of of IN 39713 1614 9 all all PDT 39713 1614 10 this this DT 39713 1614 11 discussion discussion NN 39713 1614 12 only only RB 39713 1614 13 one one CD 39713 1614 14 impression impression NN 39713 1614 15 , , , 39713 1614 16 that that IN 39713 1614 17 Mayer Mayer NNP 39713 1614 18 's 's POS 39713 1614 19 law law NN 39713 1614 20 is be VBZ 39713 1614 21 a a DT 39713 1614 22 form form NN 39713 1614 23 flexible flexible JJ 39713 1614 24 enough enough RB 39713 1614 25 for for IN 39713 1614 26 us -PRON- PRP 39713 1614 27 to to TO 39713 1614 28 put put VB 39713 1614 29 into into IN 39713 1614 30 it -PRON- PRP 39713 1614 31 almost almost RB 39713 1614 32 whatever whatever WDT 39713 1614 33 we -PRON- PRP 39713 1614 34 wish wish VBP 39713 1614 35 . . . 39713 1615 1 By by IN 39713 1615 2 that that DT 39713 1615 3 I -PRON- PRP 39713 1615 4 do do VBP 39713 1615 5 not not RB 39713 1615 6 mean mean VB 39713 1615 7 it -PRON- PRP 39713 1615 8 corresponds correspond VBZ 39713 1615 9 to to IN 39713 1615 10 no no DT 39713 1615 11 objective objective JJ 39713 1615 12 reality reality NN 39713 1615 13 , , , 39713 1615 14 nor nor CC 39713 1615 15 that that IN 39713 1615 16 it -PRON- PRP 39713 1615 17 reduces reduce VBZ 39713 1615 18 itself -PRON- PRP 39713 1615 19 to to IN 39713 1615 20 a a DT 39713 1615 21 mere mere JJ 39713 1615 22 tautology tautology NN 39713 1615 23 , , , 39713 1615 24 since since IN 39713 1615 25 , , , 39713 1615 26 in in IN 39713 1615 27 each each DT 39713 1615 28 particular particular JJ 39713 1615 29 case case NN 39713 1615 30 , , , 39713 1615 31 and and CC 39713 1615 32 provided provide VBD 39713 1615 33 one one NN 39713 1615 34 does do VBZ 39713 1615 35 not not RB 39713 1615 36 try try VB 39713 1615 37 to to TO 39713 1615 38 push push VB 39713 1615 39 to to IN 39713 1615 40 the the DT 39713 1615 41 absolute absolute JJ 39713 1615 42 , , , 39713 1615 43 it -PRON- PRP 39713 1615 44 has have VBZ 39713 1615 45 a a DT 39713 1615 46 perfectly perfectly RB 39713 1615 47 clear clear JJ 39713 1615 48 meaning meaning NN 39713 1615 49 . . . 39713 1616 1 This this DT 39713 1616 2 flexibility flexibility NN 39713 1616 3 is be VBZ 39713 1616 4 a a DT 39713 1616 5 reason reason NN 39713 1616 6 for for IN 39713 1616 7 believing believe VBG 39713 1616 8 in in IN 39713 1616 9 its -PRON- PRP$ 39713 1616 10 permanence permanence NN 39713 1616 11 , , , 39713 1616 12 and and CC 39713 1616 13 as as IN 39713 1616 14 , , , 39713 1616 15 on on IN 39713 1616 16 the the DT 39713 1616 17 other other JJ 39713 1616 18 hand hand NN 39713 1616 19 , , , 39713 1616 20 it -PRON- PRP 39713 1616 21 will will MD 39713 1616 22 disappear disappear VB 39713 1616 23 only only RB 39713 1616 24 to to TO 39713 1616 25 lose lose VB 39713 1616 26 itself -PRON- PRP 39713 1616 27 in in IN 39713 1616 28 a a DT 39713 1616 29 higher high JJR 39713 1616 30 harmony harmony NN 39713 1616 31 , , , 39713 1616 32 we -PRON- PRP 39713 1616 33 may may MD 39713 1616 34 work work VB 39713 1616 35 with with IN 39713 1616 36 confidence confidence NN 39713 1616 37 , , , 39713 1616 38 supporting support VBG 39713 1616 39 ourselves -PRON- PRP 39713 1616 40 upon upon IN 39713 1616 41 it -PRON- PRP 39713 1616 42 , , , 39713 1616 43 certain certain JJ 39713 1616 44 beforehand beforehand RB 39713 1616 45 that that IN 39713 1616 46 our -PRON- PRP$ 39713 1616 47 labor labor NN 39713 1616 48 will will MD 39713 1616 49 not not RB 39713 1616 50 be be VB 39713 1616 51 lost lose VBN 39713 1616 52 . . . 39713 1617 1 Almost almost RB 39713 1617 2 everything everything NN 39713 1617 3 I -PRON- PRP 39713 1617 4 have have VBP 39713 1617 5 just just RB 39713 1617 6 said say VBN 39713 1617 7 applies apply VBZ 39713 1617 8 to to IN 39713 1617 9 the the DT 39713 1617 10 principle principle NN 39713 1617 11 of of IN 39713 1617 12 Clausius Clausius NNP 39713 1617 13 . . . 39713 1618 1 What what WP 39713 1618 2 distinguishes distinguish VBZ 39713 1618 3 it -PRON- PRP 39713 1618 4 is be VBZ 39713 1618 5 that that IN 39713 1618 6 it -PRON- PRP 39713 1618 7 is be VBZ 39713 1618 8 expressed express VBN 39713 1618 9 by by IN 39713 1618 10 an an DT 39713 1618 11 inequality inequality NN 39713 1618 12 . . . 39713 1619 1 Perhaps perhaps RB 39713 1619 2 it -PRON- PRP 39713 1619 3 will will MD 39713 1619 4 be be VB 39713 1619 5 said say VBN 39713 1619 6 it -PRON- PRP 39713 1619 7 is be VBZ 39713 1619 8 the the DT 39713 1619 9 same same JJ 39713 1619 10 with with IN 39713 1619 11 all all DT 39713 1619 12 physical physical JJ 39713 1619 13 laws law NNS 39713 1619 14 , , , 39713 1619 15 since since IN 39713 1619 16 their -PRON- PRP$ 39713 1619 17 precision precision NN 39713 1619 18 is be VBZ 39713 1619 19 always always RB 39713 1619 20 limited limit VBN 39713 1619 21 by by IN 39713 1619 22 errors error NNS 39713 1619 23 of of IN 39713 1619 24 observation observation NN 39713 1619 25 . . . 39713 1620 1 But but CC 39713 1620 2 they -PRON- PRP 39713 1620 3 at at IN 39713 1620 4 least least JJS 39713 1620 5 claim claim NN 39713 1620 6 to to TO 39713 1620 7 be be VB 39713 1620 8 first first JJ 39713 1620 9 approximations approximation NNS 39713 1620 10 , , , 39713 1620 11 and and CC 39713 1620 12 it -PRON- PRP 39713 1620 13 is be VBZ 39713 1620 14 hoped hope VBN 39713 1620 15 to to TO 39713 1620 16 replace replace VB 39713 1620 17 them -PRON- PRP 39713 1620 18 little little JJ 39713 1620 19 by by IN 39713 1620 20 little little JJ 39713 1620 21 by by IN 39713 1620 22 laws law NNS 39713 1620 23 more more JJR 39713 1620 24 and and CC 39713 1620 25 more more RBR 39713 1620 26 precise precise JJ 39713 1620 27 . . . 39713 1621 1 If if IN 39713 1621 2 , , , 39713 1621 3 on on IN 39713 1621 4 the the DT 39713 1621 5 other other JJ 39713 1621 6 hand hand NN 39713 1621 7 , , , 39713 1621 8 the the DT 39713 1621 9 principle principle NN 39713 1621 10 of of IN 39713 1621 11 Clausius Clausius NNP 39713 1621 12 reduces reduce VBZ 39713 1621 13 to to IN 39713 1621 14 an an DT 39713 1621 15 inequality inequality NN 39713 1621 16 , , , 39713 1621 17 this this DT 39713 1621 18 is be VBZ 39713 1621 19 not not RB 39713 1621 20 caused cause VBN 39713 1621 21 by by IN 39713 1621 22 the the DT 39713 1621 23 imperfection imperfection NN 39713 1621 24 of of IN 39713 1621 25 our -PRON- PRP$ 39713 1621 26 means mean NNS 39713 1621 27 of of IN 39713 1621 28 observation observation NN 39713 1621 29 , , , 39713 1621 30 but but CC 39713 1621 31 by by IN 39713 1621 32 the the DT 39713 1621 33 very very JJ 39713 1621 34 nature nature NN 39713 1621 35 of of IN 39713 1621 36 the the DT 39713 1621 37 question question NN 39713 1621 38 . . . 39713 1622 1 GENERAL GENERAL NNP 39713 1622 2 CONCLUSIONS conclusion NNS 39713 1622 3 ON on IN 39713 1622 4 PART PART VBN 39713 1622 5 THIRD third NN 39713 1622 6 The the DT 39713 1622 7 principles principle NNS 39713 1622 8 of of IN 39713 1622 9 mechanics mechanic NNS 39713 1622 10 , , , 39713 1622 11 then then RB 39713 1622 12 , , , 39713 1622 13 present present VB 39713 1622 14 themselves -PRON- PRP 39713 1622 15 to to IN 39713 1622 16 us -PRON- PRP 39713 1622 17 under under IN 39713 1622 18 two two CD 39713 1622 19 different different JJ 39713 1622 20 aspects aspect NNS 39713 1622 21 . . . 39713 1623 1 On on IN 39713 1623 2 the the DT 39713 1623 3 one one CD 39713 1623 4 hand hand NN 39713 1623 5 , , , 39713 1623 6 they -PRON- PRP 39713 1623 7 are be VBP 39713 1623 8 truths truth NNS 39713 1623 9 founded found VBN 39713 1623 10 on on IN 39713 1623 11 experiment experiment NN 39713 1623 12 and and CC 39713 1623 13 approximately approximately RB 39713 1623 14 verified verify VBN 39713 1623 15 so so RB 39713 1623 16 far far RB 39713 1623 17 as as IN 39713 1623 18 concerns concern NNS 39713 1623 19 almost almost RB 39713 1623 20 isolated isolate VBN 39713 1623 21 systems system NNS 39713 1623 22 . . . 39713 1624 1 On on IN 39713 1624 2 the the DT 39713 1624 3 other other JJ 39713 1624 4 hand hand NN 39713 1624 5 , , , 39713 1624 6 they -PRON- PRP 39713 1624 7 are be VBP 39713 1624 8 postulates postulate NNS 39713 1624 9 applicable applicable JJ 39713 1624 10 to to IN 39713 1624 11 the the DT 39713 1624 12 totality totality NN 39713 1624 13 of of IN 39713 1624 14 the the DT 39713 1624 15 universe universe NN 39713 1624 16 and and CC 39713 1624 17 regarded regard VBD 39713 1624 18 as as IN 39713 1624 19 rigorously rigorously RB 39713 1624 20 true true JJ 39713 1624 21 . . . 39713 1625 1 If if IN 39713 1625 2 these these DT 39713 1625 3 postulates postulate NNS 39713 1625 4 possess possess VBP 39713 1625 5 a a DT 39713 1625 6 generality generality NN 39713 1625 7 and and CC 39713 1625 8 a a DT 39713 1625 9 certainty certainty NN 39713 1625 10 which which WDT 39713 1625 11 are be VBP 39713 1625 12 lacking lack VBG 39713 1625 13 to to IN 39713 1625 14 the the DT 39713 1625 15 experimental experimental JJ 39713 1625 16 verities verity NNS 39713 1625 17 whence whence NN 39713 1625 18 they -PRON- PRP 39713 1625 19 are be VBP 39713 1625 20 drawn draw VBN 39713 1625 21 , , , 39713 1625 22 this this DT 39713 1625 23 is be VBZ 39713 1625 24 because because IN 39713 1625 25 they -PRON- PRP 39713 1625 26 reduce reduce VBP 39713 1625 27 in in IN 39713 1625 28 the the DT 39713 1625 29 last last JJ 39713 1625 30 analysis analysis NN 39713 1625 31 to to IN 39713 1625 32 a a DT 39713 1625 33 mere mere JJ 39713 1625 34 convention convention NN 39713 1625 35 which which WDT 39713 1625 36 we -PRON- PRP 39713 1625 37 have have VBP 39713 1625 38 the the DT 39713 1625 39 right right NN 39713 1625 40 to to TO 39713 1625 41 make make VB 39713 1625 42 , , , 39713 1625 43 because because IN 39713 1625 44 we -PRON- PRP 39713 1625 45 are be VBP 39713 1625 46 certain certain JJ 39713 1625 47 beforehand beforehand RB 39713 1625 48 that that IN 39713 1625 49 no no DT 39713 1625 50 experiment experiment NN 39713 1625 51 can can MD 39713 1625 52 ever ever RB 39713 1625 53 contradict contradict VB 39713 1625 54 it -PRON- PRP 39713 1625 55 . . . 39713 1626 1 This this DT 39713 1626 2 convention convention NN 39713 1626 3 , , , 39713 1626 4 however however RB 39713 1626 5 , , , 39713 1626 6 is be VBZ 39713 1626 7 not not RB 39713 1626 8 absolutely absolutely RB 39713 1626 9 arbitrary arbitrary JJ 39713 1626 10 ; ; : 39713 1626 11 it -PRON- PRP 39713 1626 12 does do VBZ 39713 1626 13 not not RB 39713 1626 14 spring spring VB 39713 1626 15 from from IN 39713 1626 16 our -PRON- PRP$ 39713 1626 17 caprice caprice NN 39713 1626 18 ; ; : 39713 1626 19 we -PRON- PRP 39713 1626 20 adopt adopt VBP 39713 1626 21 it -PRON- PRP 39713 1626 22 because because IN 39713 1626 23 certain certain JJ 39713 1626 24 experiments experiment NNS 39713 1626 25 have have VBP 39713 1626 26 shown show VBN 39713 1626 27 us -PRON- PRP 39713 1626 28 that that IN 39713 1626 29 it -PRON- PRP 39713 1626 30 would would MD 39713 1626 31 be be VB 39713 1626 32 convenient convenient JJ 39713 1626 33 . . . 39713 1627 1 Thus thus RB 39713 1627 2 is be VBZ 39713 1627 3 explained explain VBN 39713 1627 4 how how WRB 39713 1627 5 experiment experiment NN 39713 1627 6 could could MD 39713 1627 7 make make VB 39713 1627 8 the the DT 39713 1627 9 principles principle NNS 39713 1627 10 of of IN 39713 1627 11 mechanics mechanic NNS 39713 1627 12 , , , 39713 1627 13 and and CC 39713 1627 14 yet yet RB 39713 1627 15 why why WRB 39713 1627 16 it -PRON- PRP 39713 1627 17 can can MD 39713 1627 18 not not RB 39713 1627 19 overturn overturn VB 39713 1627 20 them -PRON- PRP 39713 1627 21 . . . 39713 1628 1 Compare compare VB 39713 1628 2 with with IN 39713 1628 3 geometry geometry NN 39713 1628 4 : : : 39713 1628 5 The the DT 39713 1628 6 fundamental fundamental JJ 39713 1628 7 propositions proposition NNS 39713 1628 8 of of IN 39713 1628 9 geometry geometry NN 39713 1628 10 , , , 39713 1628 11 as as IN 39713 1628 12 for for IN 39713 1628 13 instance instance NN 39713 1628 14 Euclid Euclid NNP 39713 1628 15 's 's POS 39713 1628 16 postulate postulate NN 39713 1628 17 , , , 39713 1628 18 are be VBP 39713 1628 19 nothing nothing NN 39713 1628 20 more more JJR 39713 1628 21 than than IN 39713 1628 22 conventions convention NNS 39713 1628 23 , , , 39713 1628 24 and and CC 39713 1628 25 it -PRON- PRP 39713 1628 26 is be VBZ 39713 1628 27 just just RB 39713 1628 28 as as RB 39713 1628 29 unreasonable unreasonable JJ 39713 1628 30 to to TO 39713 1628 31 inquire inquire VB 39713 1628 32 whether whether IN 39713 1628 33 they -PRON- PRP 39713 1628 34 are be VBP 39713 1628 35 true true JJ 39713 1628 36 or or CC 39713 1628 37 false false JJ 39713 1628 38 as as IN 39713 1628 39 to to TO 39713 1628 40 ask ask VB 39713 1628 41 whether whether IN 39713 1628 42 the the DT 39713 1628 43 metric metric JJ 39713 1628 44 system system NN 39713 1628 45 is be VBZ 39713 1628 46 true true JJ 39713 1628 47 or or CC 39713 1628 48 false false JJ 39713 1628 49 . . . 39713 1629 1 Only only RB 39713 1629 2 , , , 39713 1629 3 these these DT 39713 1629 4 conventions convention NNS 39713 1629 5 are be VBP 39713 1629 6 convenient convenient JJ 39713 1629 7 , , , 39713 1629 8 and and CC 39713 1629 9 it -PRON- PRP 39713 1629 10 is be VBZ 39713 1629 11 certain certain JJ 39713 1629 12 experiments experiment NNS 39713 1629 13 which which WDT 39713 1629 14 have have VBP 39713 1629 15 taught teach VBN 39713 1629 16 us -PRON- PRP 39713 1629 17 that that DT 39713 1629 18 . . . 39713 1630 1 At at IN 39713 1630 2 first first JJ 39713 1630 3 blush blush NN 39713 1630 4 , , , 39713 1630 5 the the DT 39713 1630 6 analogy analogy NN 39713 1630 7 is be VBZ 39713 1630 8 complete complete JJ 39713 1630 9 ; ; : 39713 1630 10 the the DT 39713 1630 11 rôle rôle NN 39713 1630 12 of of IN 39713 1630 13 experiment experiment NN 39713 1630 14 seems seem VBZ 39713 1630 15 the the DT 39713 1630 16 same same JJ 39713 1630 17 . . . 39713 1631 1 One one CD 39713 1631 2 will will MD 39713 1631 3 therefore therefore RB 39713 1631 4 be be VB 39713 1631 5 tempted tempt VBN 39713 1631 6 to to TO 39713 1631 7 say say VB 39713 1631 8 : : : 39713 1631 9 Either either CC 39713 1631 10 mechanics mechanic NNS 39713 1631 11 must must MD 39713 1631 12 be be VB 39713 1631 13 regarded regard VBN 39713 1631 14 as as IN 39713 1631 15 an an DT 39713 1631 16 experimental experimental JJ 39713 1631 17 science science NN 39713 1631 18 , , , 39713 1631 19 and and CC 39713 1631 20 then then RB 39713 1631 21 the the DT 39713 1631 22 same same JJ 39713 1631 23 must must MD 39713 1631 24 hold hold VB 39713 1631 25 for for IN 39713 1631 26 geometry geometry NN 39713 1631 27 ; ; : 39713 1631 28 or or CC 39713 1631 29 else else RB 39713 1631 30 , , , 39713 1631 31 on on IN 39713 1631 32 the the DT 39713 1631 33 contrary contrary NN 39713 1631 34 , , , 39713 1631 35 geometry geometry NN 39713 1631 36 is be VBZ 39713 1631 37 a a DT 39713 1631 38 deductive deductive JJ 39713 1631 39 science science NN 39713 1631 40 , , , 39713 1631 41 and and CC 39713 1631 42 then then RB 39713 1631 43 one one PRP 39713 1631 44 may may MD 39713 1631 45 say say VB 39713 1631 46 as as RB 39713 1631 47 much much JJ 39713 1631 48 of of IN 39713 1631 49 mechanics mechanic NNS 39713 1631 50 . . . 39713 1632 1 Such such PDT 39713 1632 2 a a DT 39713 1632 3 conclusion conclusion NN 39713 1632 4 would would MD 39713 1632 5 be be VB 39713 1632 6 illegitimate illegitimate JJ 39713 1632 7 . . . 39713 1633 1 The the DT 39713 1633 2 experiments experiment NNS 39713 1633 3 which which WDT 39713 1633 4 have have VBP 39713 1633 5 led lead VBN 39713 1633 6 us -PRON- PRP 39713 1633 7 to to TO 39713 1633 8 adopt adopt VB 39713 1633 9 as as IN 39713 1633 10 more more RBR 39713 1633 11 convenient convenient JJ 39713 1633 12 the the DT 39713 1633 13 fundamental fundamental JJ 39713 1633 14 conventions convention NNS 39713 1633 15 of of IN 39713 1633 16 geometry geometry NN 39713 1633 17 bear bear VBP 39713 1633 18 on on IN 39713 1633 19 objects object NNS 39713 1633 20 which which WDT 39713 1633 21 have have VBP 39713 1633 22 nothing nothing NN 39713 1633 23 in in IN 39713 1633 24 common common JJ 39713 1633 25 with with IN 39713 1633 26 those those DT 39713 1633 27 geometry geometry NN 39713 1633 28 studies study NNS 39713 1633 29 ; ; : 39713 1633 30 they -PRON- PRP 39713 1633 31 bear bear VBP 39713 1633 32 on on IN 39713 1633 33 the the DT 39713 1633 34 properties property NNS 39713 1633 35 of of IN 39713 1633 36 solid solid JJ 39713 1633 37 bodies body NNS 39713 1633 38 , , , 39713 1633 39 on on IN 39713 1633 40 the the DT 39713 1633 41 rectilinear rectilinear JJ 39713 1633 42 propagation propagation NN 39713 1633 43 of of IN 39713 1633 44 light light NN 39713 1633 45 . . . 39713 1634 1 They -PRON- PRP 39713 1634 2 are be VBP 39713 1634 3 experiments experiment NNS 39713 1634 4 of of IN 39713 1634 5 mechanics mechanic NNS 39713 1634 6 , , , 39713 1634 7 experiments experiment NNS 39713 1634 8 of of IN 39713 1634 9 optics optic NNS 39713 1634 10 ; ; : 39713 1634 11 they -PRON- PRP 39713 1634 12 can can MD 39713 1634 13 not not RB 39713 1634 14 in in IN 39713 1634 15 any any DT 39713 1634 16 way way NN 39713 1634 17 be be VB 39713 1634 18 regarded regard VBN 39713 1634 19 as as IN 39713 1634 20 experiments experiment NNS 39713 1634 21 of of IN 39713 1634 22 geometry geometry NN 39713 1634 23 . . . 39713 1635 1 And and CC 39713 1635 2 even even RB 39713 1635 3 the the DT 39713 1635 4 principal principal JJ 39713 1635 5 reason reason NN 39713 1635 6 why why WRB 39713 1635 7 our -PRON- PRP$ 39713 1635 8 geometry geometry NN 39713 1635 9 seems seem VBZ 39713 1635 10 convenient convenient JJ 39713 1635 11 to to IN 39713 1635 12 us -PRON- PRP 39713 1635 13 is be VBZ 39713 1635 14 that that IN 39713 1635 15 the the DT 39713 1635 16 different different JJ 39713 1635 17 parts part NNS 39713 1635 18 of of IN 39713 1635 19 our -PRON- PRP$ 39713 1635 20 body body NN 39713 1635 21 , , , 39713 1635 22 our -PRON- PRP$ 39713 1635 23 eye eye NN 39713 1635 24 , , , 39713 1635 25 our -PRON- PRP$ 39713 1635 26 limbs limb NNS 39713 1635 27 , , , 39713 1635 28 have have VBP 39713 1635 29 the the DT 39713 1635 30 properties property NNS 39713 1635 31 of of IN 39713 1635 32 solid solid JJ 39713 1635 33 bodies body NNS 39713 1635 34 . . . 39713 1636 1 On on IN 39713 1636 2 this this DT 39713 1636 3 account account NN 39713 1636 4 , , , 39713 1636 5 our -PRON- PRP$ 39713 1636 6 fundamental fundamental JJ 39713 1636 7 experiments experiment NNS 39713 1636 8 are be VBP 39713 1636 9 preeminently preeminently RB 39713 1636 10 physiological physiological JJ 39713 1636 11 experiments experiment NNS 39713 1636 12 , , , 39713 1636 13 which which WDT 39713 1636 14 bear bear VBP 39713 1636 15 , , , 39713 1636 16 not not RB 39713 1636 17 on on IN 39713 1636 18 space space NN 39713 1636 19 which which WDT 39713 1636 20 is be VBZ 39713 1636 21 the the DT 39713 1636 22 object object NN 39713 1636 23 the the DT 39713 1636 24 geometer geometer NN 39713 1636 25 must must MD 39713 1636 26 study study VB 39713 1636 27 , , , 39713 1636 28 but but CC 39713 1636 29 on on IN 39713 1636 30 his -PRON- PRP$ 39713 1636 31 body body NN 39713 1636 32 , , , 39713 1636 33 that that DT 39713 1636 34 is be VBZ 39713 1636 35 to to TO 39713 1636 36 say say VB 39713 1636 37 , , , 39713 1636 38 on on IN 39713 1636 39 the the DT 39713 1636 40 instrument instrument NN 39713 1636 41 he -PRON- PRP 39713 1636 42 must must MD 39713 1636 43 use use VB 39713 1636 44 for for IN 39713 1636 45 this this DT 39713 1636 46 study study NN 39713 1636 47 . . . 39713 1637 1 On on IN 39713 1637 2 the the DT 39713 1637 3 contrary contrary NN 39713 1637 4 , , , 39713 1637 5 the the DT 39713 1637 6 fundamental fundamental JJ 39713 1637 7 conventions convention NNS 39713 1637 8 of of IN 39713 1637 9 mechanics mechanic NNS 39713 1637 10 , , , 39713 1637 11 and and CC 39713 1637 12 the the DT 39713 1637 13 experiments experiment NNS 39713 1637 14 which which WDT 39713 1637 15 prove prove VBP 39713 1637 16 to to IN 39713 1637 17 us -PRON- PRP 39713 1637 18 that that IN 39713 1637 19 they -PRON- PRP 39713 1637 20 are be VBP 39713 1637 21 convenient convenient JJ 39713 1637 22 , , , 39713 1637 23 bear bear VB 39713 1637 24 on on RP 39713 1637 25 exactly exactly RB 39713 1637 26 the the DT 39713 1637 27 same same JJ 39713 1637 28 objects object NNS 39713 1637 29 or or CC 39713 1637 30 on on IN 39713 1637 31 analogous analogous JJ 39713 1637 32 objects object NNS 39713 1637 33 . . . 39713 1638 1 The the DT 39713 1638 2 conventional conventional JJ 39713 1638 3 and and CC 39713 1638 4 general general JJ 39713 1638 5 principles principle NNS 39713 1638 6 are be VBP 39713 1638 7 the the DT 39713 1638 8 natural natural JJ 39713 1638 9 and and CC 39713 1638 10 direct direct JJ 39713 1638 11 generalization generalization NN 39713 1638 12 of of IN 39713 1638 13 the the DT 39713 1638 14 experimental experimental JJ 39713 1638 15 and and CC 39713 1638 16 particular particular JJ 39713 1638 17 principles principle NNS 39713 1638 18 . . . 39713 1639 1 Let let VB 39713 1639 2 it -PRON- PRP 39713 1639 3 not not RB 39713 1639 4 be be VB 39713 1639 5 said say VBN 39713 1639 6 that that IN 39713 1639 7 thus thus RB 39713 1639 8 I -PRON- PRP 39713 1639 9 trace trace VBP 39713 1639 10 artificial artificial JJ 39713 1639 11 frontiers frontier NNS 39713 1639 12 between between IN 39713 1639 13 the the DT 39713 1639 14 sciences science NNS 39713 1639 15 ; ; : 39713 1639 16 that that IN 39713 1639 17 if if IN 39713 1639 18 I -PRON- PRP 39713 1639 19 separate separate VBP 39713 1639 20 by by IN 39713 1639 21 a a DT 39713 1639 22 barrier barrier NN 39713 1639 23 geometry geometry NN 39713 1639 24 properly properly RB 39713 1639 25 so so RB 39713 1639 26 called call VBD 39713 1639 27 from from IN 39713 1639 28 the the DT 39713 1639 29 study study NN 39713 1639 30 of of IN 39713 1639 31 solid solid JJ 39713 1639 32 bodies body NNS 39713 1639 33 , , , 39713 1639 34 I -PRON- PRP 39713 1639 35 could could MD 39713 1639 36 just just RB 39713 1639 37 as as RB 39713 1639 38 well well RB 39713 1639 39 erect erect VB 39713 1639 40 one one CD 39713 1639 41 between between IN 39713 1639 42 experimental experimental JJ 39713 1639 43 mechanics mechanic NNS 39713 1639 44 and and CC 39713 1639 45 the the DT 39713 1639 46 conventional conventional JJ 39713 1639 47 mechanics mechanic NNS 39713 1639 48 of of IN 39713 1639 49 the the DT 39713 1639 50 general general JJ 39713 1639 51 principles principle NNS 39713 1639 52 . . . 39713 1640 1 In in IN 39713 1640 2 fact fact NN 39713 1640 3 , , , 39713 1640 4 who who WP 39713 1640 5 does do VBZ 39713 1640 6 not not RB 39713 1640 7 see see VB 39713 1640 8 that that DT 39713 1640 9 in in IN 39713 1640 10 separating separate VBG 39713 1640 11 these these DT 39713 1640 12 two two CD 39713 1640 13 sciences science NNS 39713 1640 14 I -PRON- PRP 39713 1640 15 mutilate mutilate VBP 39713 1640 16 them -PRON- PRP 39713 1640 17 both both DT 39713 1640 18 , , , 39713 1640 19 and and CC 39713 1640 20 that that IN 39713 1640 21 what what WP 39713 1640 22 will will MD 39713 1640 23 remain remain VB 39713 1640 24 of of IN 39713 1640 25 conventional conventional JJ 39713 1640 26 mechanics mechanic NNS 39713 1640 27 when when WRB 39713 1640 28 it -PRON- PRP 39713 1640 29 shall shall MD 39713 1640 30 be be VB 39713 1640 31 isolated isolate VBN 39713 1640 32 will will MD 39713 1640 33 be be VB 39713 1640 34 only only RB 39713 1640 35 a a DT 39713 1640 36 very very RB 39713 1640 37 small small JJ 39713 1640 38 thing thing NN 39713 1640 39 and and CC 39713 1640 40 can can MD 39713 1640 41 in in IN 39713 1640 42 no no DT 39713 1640 43 way way NN 39713 1640 44 be be VB 39713 1640 45 compared compare VBN 39713 1640 46 to to IN 39713 1640 47 that that DT 39713 1640 48 superb superb JJ 39713 1640 49 body body NN 39713 1640 50 of of IN 39713 1640 51 doctrine doctrine NN 39713 1640 52 called call VBN 39713 1640 53 geometry geometry NN 39713 1640 54 ? ? . 39713 1641 1 One one PRP 39713 1641 2 sees see VBZ 39713 1641 3 now now RB 39713 1641 4 why why WRB 39713 1641 5 the the DT 39713 1641 6 teaching teaching NN 39713 1641 7 of of IN 39713 1641 8 mechanics mechanic NNS 39713 1641 9 should should MD 39713 1641 10 remain remain VB 39713 1641 11 experimental experimental JJ 39713 1641 12 . . . 39713 1642 1 Only only RB 39713 1642 2 thus thus RB 39713 1642 3 can can MD 39713 1642 4 it -PRON- PRP 39713 1642 5 make make VB 39713 1642 6 us -PRON- PRP 39713 1642 7 comprehend comprehend VB 39713 1642 8 the the DT 39713 1642 9 genesis genesis NN 39713 1642 10 of of IN 39713 1642 11 the the DT 39713 1642 12 science science NN 39713 1642 13 , , , 39713 1642 14 and and CC 39713 1642 15 that that DT 39713 1642 16 is be VBZ 39713 1642 17 indispensable indispensable JJ 39713 1642 18 for for IN 39713 1642 19 the the DT 39713 1642 20 complete complete JJ 39713 1642 21 understanding understanding NN 39713 1642 22 of of IN 39713 1642 23 the the DT 39713 1642 24 science science NN 39713 1642 25 itself -PRON- PRP 39713 1642 26 . . . 39713 1643 1 Besides besides IN 39713 1643 2 , , , 39713 1643 3 if if IN 39713 1643 4 we -PRON- PRP 39713 1643 5 study study VBP 39713 1643 6 mechanics mechanic NNS 39713 1643 7 , , , 39713 1643 8 it -PRON- PRP 39713 1643 9 is be VBZ 39713 1643 10 to to TO 39713 1643 11 apply apply VB 39713 1643 12 it -PRON- PRP 39713 1643 13 ; ; : 39713 1643 14 and and CC 39713 1643 15 we -PRON- PRP 39713 1643 16 can can MD 39713 1643 17 apply apply VB 39713 1643 18 it -PRON- PRP 39713 1643 19 only only RB 39713 1643 20 if if IN 39713 1643 21 it -PRON- PRP 39713 1643 22 remains remain VBZ 39713 1643 23 objective objective JJ 39713 1643 24 . . . 39713 1644 1 Now now RB 39713 1644 2 , , , 39713 1644 3 as as IN 39713 1644 4 we -PRON- PRP 39713 1644 5 have have VBP 39713 1644 6 seen see VBN 39713 1644 7 , , , 39713 1644 8 what what WP 39713 1644 9 the the DT 39713 1644 10 principles principle NNS 39713 1644 11 gain gain VBP 39713 1644 12 in in IN 39713 1644 13 generality generality NN 39713 1644 14 and and CC 39713 1644 15 certainty certainty NN 39713 1644 16 they -PRON- PRP 39713 1644 17 lose lose VBP 39713 1644 18 in in IN 39713 1644 19 objectivity objectivity NN 39713 1644 20 . . . 39713 1645 1 It -PRON- PRP 39713 1645 2 is be VBZ 39713 1645 3 , , , 39713 1645 4 therefore therefore RB 39713 1645 5 , , , 39713 1645 6 above above IN 39713 1645 7 all all DT 39713 1645 8 with with IN 39713 1645 9 the the DT 39713 1645 10 objective objective JJ 39713 1645 11 side side NN 39713 1645 12 of of IN 39713 1645 13 the the DT 39713 1645 14 principles principle NNS 39713 1645 15 that that IN 39713 1645 16 we -PRON- PRP 39713 1645 17 must must MD 39713 1645 18 be be VB 39713 1645 19 familiarized familiarize VBN 39713 1645 20 early early RB 39713 1645 21 , , , 39713 1645 22 and and CC 39713 1645 23 that that DT 39713 1645 24 can can MD 39713 1645 25 be be VB 39713 1645 26 done do VBN 39713 1645 27 only only RB 39713 1645 28 by by IN 39713 1645 29 going go VBG 39713 1645 30 from from IN 39713 1645 31 the the DT 39713 1645 32 particular particular JJ 39713 1645 33 to to IN 39713 1645 34 the the DT 39713 1645 35 general general JJ 39713 1645 36 , , , 39713 1645 37 instead instead RB 39713 1645 38 of of IN 39713 1645 39 the the DT 39713 1645 40 inverse inverse NN 39713 1645 41 . . . 39713 1646 1 The the DT 39713 1646 2 principles principle NNS 39713 1646 3 are be VBP 39713 1646 4 conventions convention NNS 39713 1646 5 and and CC 39713 1646 6 disguised disguised JJ 39713 1646 7 definitions definition NNS 39713 1646 8 . . . 39713 1647 1 Yet yet CC 39713 1647 2 they -PRON- PRP 39713 1647 3 are be VBP 39713 1647 4 drawn draw VBN 39713 1647 5 from from IN 39713 1647 6 experimental experimental JJ 39713 1647 7 laws law NNS 39713 1647 8 ; ; : 39713 1647 9 these these DT 39713 1647 10 laws law NNS 39713 1647 11 have have VBP 39713 1647 12 , , , 39713 1647 13 so so RB 39713 1647 14 to to TO 39713 1647 15 speak speak VB 39713 1647 16 , , , 39713 1647 17 been be VBN 39713 1647 18 exalted exalt VBN 39713 1647 19 into into IN 39713 1647 20 principles principle NNS 39713 1647 21 to to TO 39713 1647 22 which which WDT 39713 1647 23 our -PRON- PRP$ 39713 1647 24 mind mind NN 39713 1647 25 attributes attribute VBZ 39713 1647 26 an an DT 39713 1647 27 absolute absolute JJ 39713 1647 28 value value NN 39713 1647 29 . . . 39713 1648 1 Some some DT 39713 1648 2 philosophers philosopher NNS 39713 1648 3 have have VBP 39713 1648 4 generalized generalize VBN 39713 1648 5 too too RB 39713 1648 6 far far RB 39713 1648 7 ; ; : 39713 1648 8 they -PRON- PRP 39713 1648 9 believed believe VBD 39713 1648 10 the the DT 39713 1648 11 principles principle NNS 39713 1648 12 were be VBD 39713 1648 13 the the DT 39713 1648 14 whole whole JJ 39713 1648 15 science science NN 39713 1648 16 and and CC 39713 1648 17 consequently consequently RB 39713 1648 18 that that IN 39713 1648 19 the the DT 39713 1648 20 whole whole JJ 39713 1648 21 science science NN 39713 1648 22 was be VBD 39713 1648 23 conventional conventional JJ 39713 1648 24 . . . 39713 1649 1 This this DT 39713 1649 2 paradoxical paradoxical JJ 39713 1649 3 doctrine doctrine NN 39713 1649 4 , , , 39713 1649 5 called call VBN 39713 1649 6 nominalism nominalism NN 39713 1649 7 , , , 39713 1649 8 will will MD 39713 1649 9 not not RB 39713 1649 10 bear bear VB 39713 1649 11 examination examination NN 39713 1649 12 . . . 39713 1650 1 How how WRB 39713 1650 2 can can MD 39713 1650 3 a a DT 39713 1650 4 law law NN 39713 1650 5 become become VB 39713 1650 6 a a DT 39713 1650 7 principle principle NN 39713 1650 8 ? ? . 39713 1651 1 It -PRON- PRP 39713 1651 2 expressed express VBD 39713 1651 3 a a DT 39713 1651 4 relation relation NN 39713 1651 5 between between IN 39713 1651 6 two two CD 39713 1651 7 real real JJ 39713 1651 8 terms term NNS 39713 1651 9 _ _ NNP 39713 1651 10 A A NNP 39713 1651 11 _ _ NNP 39713 1651 12 and and CC 39713 1651 13 _ _ NNP 39713 1651 14 B B NNP 39713 1651 15 _ _ NNP 39713 1651 16 . . . 39713 1652 1 But but CC 39713 1652 2 it -PRON- PRP 39713 1652 3 was be VBD 39713 1652 4 not not RB 39713 1652 5 rigorously rigorously RB 39713 1652 6 true true JJ 39713 1652 7 , , , 39713 1652 8 it -PRON- PRP 39713 1652 9 was be VBD 39713 1652 10 only only RB 39713 1652 11 approximate approximate JJ 39713 1652 12 . . . 39713 1653 1 We -PRON- PRP 39713 1653 2 introduce introduce VBP 39713 1653 3 arbitrarily arbitrarily RB 39713 1653 4 an an DT 39713 1653 5 intermediary intermediary JJ 39713 1653 6 term term NN 39713 1653 7 _ _ NNP 39713 1653 8 C C NNP 39713 1653 9 _ _ NNP 39713 1653 10 more more RBR 39713 1653 11 or or CC 39713 1653 12 less less RBR 39713 1653 13 fictitious fictitious JJ 39713 1653 14 , , , 39713 1653 15 and and CC 39713 1653 16 _ _ NNP 39713 1653 17 C C NNP 39713 1653 18 _ _ NNP 39713 1653 19 is be VBZ 39713 1653 20 _ _ NNP 39713 1653 21 by by IN 39713 1653 22 definition definition NN 39713 1653 23 _ _ NNP 39713 1653 24 that that IN 39713 1653 25 which which WDT 39713 1653 26 has have VBZ 39713 1653 27 with with IN 39713 1653 28 _ _ NNP 39713 1653 29 A A NNP 39713 1653 30 _ _ NNP 39713 1653 31 _ _ NNP 39713 1653 32 exactly exactly RB 39713 1653 33 _ _ NNP 39713 1653 34 the the DT 39713 1653 35 relation relation NN 39713 1653 36 expressed express VBN 39713 1653 37 by by IN 39713 1653 38 the the DT 39713 1653 39 law law NN 39713 1653 40 . . . 39713 1654 1 Then then RB 39713 1654 2 our -PRON- PRP$ 39713 1654 3 law law NN 39713 1654 4 is be VBZ 39713 1654 5 separated separate VBN 39713 1654 6 into into IN 39713 1654 7 an an DT 39713 1654 8 absolute absolute JJ 39713 1654 9 and and CC 39713 1654 10 rigorous rigorous JJ 39713 1654 11 principle principle NN 39713 1654 12 which which WDT 39713 1654 13 expresses express VBZ 39713 1654 14 the the DT 39713 1654 15 relation relation NN 39713 1654 16 of of IN 39713 1654 17 _ _ NNP 39713 1654 18 A A NNP 39713 1654 19 _ _ NNP 39713 1654 20 to to IN 39713 1654 21 _ _ NNP 39713 1654 22 C C NNP 39713 1654 23 _ _ NNP 39713 1654 24 and and CC 39713 1654 25 an an DT 39713 1654 26 experimental experimental JJ 39713 1654 27 law law NN 39713 1654 28 , , , 39713 1654 29 approximate approximate JJ 39713 1654 30 and and CC 39713 1654 31 subject subject JJ 39713 1654 32 to to IN 39713 1654 33 revision revision NN 39713 1654 34 , , , 39713 1654 35 which which WDT 39713 1654 36 expresses express VBZ 39713 1654 37 the the DT 39713 1654 38 relation relation NN 39713 1654 39 of of IN 39713 1654 40 _ _ NNP 39713 1654 41 C C NNP 39713 1654 42 _ _ NNP 39713 1654 43 to to IN 39713 1654 44 _ _ NNP 39713 1654 45 B B NNP 39713 1654 46 _ _ NNP 39713 1654 47 . . . 39713 1655 1 It -PRON- PRP 39713 1655 2 is be VBZ 39713 1655 3 clear clear JJ 39713 1655 4 that that IN 39713 1655 5 , , , 39713 1655 6 however however RB 39713 1655 7 far far RB 39713 1655 8 this this DT 39713 1655 9 partition partition NN 39713 1655 10 is be VBZ 39713 1655 11 pushed push VBN 39713 1655 12 , , , 39713 1655 13 some some DT 39713 1655 14 laws law NNS 39713 1655 15 will will MD 39713 1655 16 always always RB 39713 1655 17 be be VB 39713 1655 18 left leave VBN 39713 1655 19 remaining remain VBG 39713 1655 20 . . . 39713 1656 1 We -PRON- PRP 39713 1656 2 go go VBP 39713 1656 3 to to TO 39713 1656 4 enter enter VB 39713 1656 5 now now RB 39713 1656 6 the the DT 39713 1656 7 domain domain NN 39713 1656 8 of of IN 39713 1656 9 laws law NNS 39713 1656 10 properly properly RB 39713 1656 11 so so RB 39713 1656 12 called call VBN 39713 1656 13 . . . 39713 1657 1 PART PART NNP 39713 1657 2 IV IV NNP 39713 1657 3 NATURE NATURE NNP 39713 1657 4 CHAPTER CHAPTER NNP 39713 1657 5 IX IX NNP 39713 1657 6 HYPOTHESES HYPOTHESES NNP 39713 1657 7 IN in IN 39713 1657 8 PHYSICS PHYSICS NNP 39713 1657 9 THE the DT 39713 1657 10 RÔLE RÔLE NNP 39713 1657 11 OF of IN 39713 1657 12 EXPERIMENT EXPERIMENT NNP 39713 1657 13 AND and CC 39713 1657 14 GENERALIZATION.--Experiment GENERALIZATION.--Experiment NNP 39713 1657 15 is be VBZ 39713 1657 16 the the DT 39713 1657 17 sole sole JJ 39713 1657 18 source source NN 39713 1657 19 of of IN 39713 1657 20 truth truth NN 39713 1657 21 . . . 39713 1658 1 It -PRON- PRP 39713 1658 2 alone alone RB 39713 1658 3 can can MD 39713 1658 4 teach teach VB 39713 1658 5 us -PRON- PRP 39713 1658 6 anything anything NN 39713 1658 7 new new JJ 39713 1658 8 ; ; : 39713 1658 9 it -PRON- PRP 39713 1658 10 alone alone RB 39713 1658 11 can can MD 39713 1658 12 give give VB 39713 1658 13 us -PRON- PRP 39713 1658 14 certainty certainty NN 39713 1658 15 . . . 39713 1659 1 These these DT 39713 1659 2 are be VBP 39713 1659 3 two two CD 39713 1659 4 points point NNS 39713 1659 5 that that WDT 39713 1659 6 can can MD 39713 1659 7 not not RB 39713 1659 8 be be VB 39713 1659 9 questioned question VBN 39713 1659 10 . . . 39713 1660 1 But but CC 39713 1660 2 then then RB 39713 1660 3 , , , 39713 1660 4 if if IN 39713 1660 5 experiment experiment NN 39713 1660 6 is be VBZ 39713 1660 7 everything everything NN 39713 1660 8 , , , 39713 1660 9 what what WDT 39713 1660 10 place place NN 39713 1660 11 will will MD 39713 1660 12 remain remain VB 39713 1660 13 for for IN 39713 1660 14 mathematical mathematical JJ 39713 1660 15 physics physics NN 39713 1660 16 ? ? . 39713 1661 1 What what WP 39713 1661 2 has have VBZ 39713 1661 3 experimental experimental JJ 39713 1661 4 physics physic NNS 39713 1661 5 to to TO 39713 1661 6 do do VB 39713 1661 7 with with IN 39713 1661 8 such such PDT 39713 1661 9 an an DT 39713 1661 10 aid aid NN 39713 1661 11 , , , 39713 1661 12 one one CD 39713 1661 13 which which WDT 39713 1661 14 seems seem VBZ 39713 1661 15 useless useless JJ 39713 1661 16 and and CC 39713 1661 17 perhaps perhaps RB 39713 1661 18 even even RB 39713 1661 19 dangerous dangerous JJ 39713 1661 20 ? ? . 39713 1662 1 And and CC 39713 1662 2 yet yet RB 39713 1662 3 mathematical mathematical JJ 39713 1662 4 physics physics NN 39713 1662 5 exists exist VBZ 39713 1662 6 , , , 39713 1662 7 and and CC 39713 1662 8 has have VBZ 39713 1662 9 done do VBN 39713 1662 10 unquestionable unquestionable JJ 39713 1662 11 service service NN 39713 1662 12 . . . 39713 1663 1 We -PRON- PRP 39713 1663 2 have have VBP 39713 1663 3 here here RB 39713 1663 4 a a DT 39713 1663 5 fact fact NN 39713 1663 6 that that WDT 39713 1663 7 must must MD 39713 1663 8 be be VB 39713 1663 9 explained explain VBN 39713 1663 10 . . . 39713 1664 1 The the DT 39713 1664 2 explanation explanation NN 39713 1664 3 is be VBZ 39713 1664 4 that that IN 39713 1664 5 merely merely RB 39713 1664 6 to to TO 39713 1664 7 observe observe VB 39713 1664 8 is be VBZ 39713 1664 9 not not RB 39713 1664 10 enough enough JJ 39713 1664 11 . . . 39713 1665 1 We -PRON- PRP 39713 1665 2 must must MD 39713 1665 3 use use VB 39713 1665 4 our -PRON- PRP$ 39713 1665 5 observations observation NNS 39713 1665 6 , , , 39713 1665 7 and and CC 39713 1665 8 to to TO 39713 1665 9 do do VB 39713 1665 10 that that IN 39713 1665 11 we -PRON- PRP 39713 1665 12 must must MD 39713 1665 13 generalize generalize VB 39713 1665 14 . . . 39713 1666 1 This this DT 39713 1666 2 is be VBZ 39713 1666 3 what what WP 39713 1666 4 men man NNS 39713 1666 5 always always RB 39713 1666 6 have have VBP 39713 1666 7 done do VBN 39713 1666 8 ; ; : 39713 1666 9 only only RB 39713 1666 10 as as IN 39713 1666 11 the the DT 39713 1666 12 memory memory NN 39713 1666 13 of of IN 39713 1666 14 past past JJ 39713 1666 15 errors error NNS 39713 1666 16 has have VBZ 39713 1666 17 made make VBN 39713 1666 18 them -PRON- PRP 39713 1666 19 more more JJR 39713 1666 20 and and CC 39713 1666 21 more more RBR 39713 1666 22 careful careful JJ 39713 1666 23 , , , 39713 1666 24 they -PRON- PRP 39713 1666 25 have have VBP 39713 1666 26 observed observe VBN 39713 1666 27 more more JJR 39713 1666 28 and and CC 39713 1666 29 more more RBR 39713 1666 30 , , , 39713 1666 31 and and CC 39713 1666 32 generalized generalize VBD 39713 1666 33 less less RBR 39713 1666 34 and and CC 39713 1666 35 less less RBR 39713 1666 36 . . . 39713 1667 1 Every every DT 39713 1667 2 age age NN 39713 1667 3 has have VBZ 39713 1667 4 ridiculed ridicule VBN 39713 1667 5 the the DT 39713 1667 6 one one NN 39713 1667 7 before before IN 39713 1667 8 it -PRON- PRP 39713 1667 9 , , , 39713 1667 10 and and CC 39713 1667 11 accused accuse VBD 39713 1667 12 it -PRON- PRP 39713 1667 13 of of IN 39713 1667 14 having have VBG 39713 1667 15 generalized generalize VBN 39713 1667 16 too too RB 39713 1667 17 quickly quickly RB 39713 1667 18 and and CC 39713 1667 19 too too RB 39713 1667 20 naïvely naïvely RB 39713 1667 21 . . . 39713 1668 1 Descartes descarte NNS 39713 1668 2 pitied pity VBD 39713 1668 3 the the DT 39713 1668 4 Ionians Ionians NNPS 39713 1668 5 ; ; : 39713 1668 6 Descartes Descartes NNPS 39713 1668 7 , , , 39713 1668 8 in in IN 39713 1668 9 his -PRON- PRP$ 39713 1668 10 turn turn NN 39713 1668 11 , , , 39713 1668 12 makes make VBZ 39713 1668 13 us -PRON- PRP 39713 1668 14 smile smile VB 39713 1668 15 . . . 39713 1669 1 No no RB 39713 1669 2 doubt doubt RB 39713 1669 3 our -PRON- PRP$ 39713 1669 4 children child NNS 39713 1669 5 will will MD 39713 1669 6 some some DT 39713 1669 7 day day NN 39713 1669 8 laugh laugh VB 39713 1669 9 at at IN 39713 1669 10 us -PRON- PRP 39713 1669 11 . . . 39713 1670 1 But but CC 39713 1670 2 can can MD 39713 1670 3 we -PRON- PRP 39713 1670 4 not not RB 39713 1670 5 then then RB 39713 1670 6 pass pass VB 39713 1670 7 over over RP 39713 1670 8 immediately immediately RB 39713 1670 9 to to IN 39713 1670 10 the the DT 39713 1670 11 goal goal NN 39713 1670 12 ? ? . 39713 1671 1 Is be VBZ 39713 1671 2 not not RB 39713 1671 3 this this DT 39713 1671 4 the the DT 39713 1671 5 means mean NNS 39713 1671 6 of of IN 39713 1671 7 escaping escape VBG 39713 1671 8 the the DT 39713 1671 9 ridicule ridicule NN 39713 1671 10 that that WDT 39713 1671 11 we -PRON- PRP 39713 1671 12 foresee foresee VBP 39713 1671 13 ? ? . 39713 1672 1 Can Can MD 39713 1672 2 we -PRON- PRP 39713 1672 3 not not RB 39713 1672 4 be be VB 39713 1672 5 content content JJ 39713 1672 6 with with IN 39713 1672 7 just just RB 39713 1672 8 the the DT 39713 1672 9 bare bare JJ 39713 1672 10 experiment experiment NN 39713 1672 11 ? ? . 39713 1673 1 No no UH 39713 1673 2 , , , 39713 1673 3 that that DT 39713 1673 4 is be VBZ 39713 1673 5 impossible impossible JJ 39713 1673 6 ; ; : 39713 1673 7 it -PRON- PRP 39713 1673 8 would would MD 39713 1673 9 be be VB 39713 1673 10 to to TO 39713 1673 11 mistake mistake VB 39713 1673 12 utterly utterly RB 39713 1673 13 the the DT 39713 1673 14 true true JJ 39713 1673 15 nature nature NN 39713 1673 16 of of IN 39713 1673 17 science science NN 39713 1673 18 . . . 39713 1674 1 The the DT 39713 1674 2 scientist scientist NN 39713 1674 3 must must MD 39713 1674 4 set set VB 39713 1674 5 in in IN 39713 1674 6 order order NN 39713 1674 7 . . . 39713 1675 1 Science science NN 39713 1675 2 is be VBZ 39713 1675 3 built build VBN 39713 1675 4 up up RP 39713 1675 5 with with IN 39713 1675 6 facts fact NNS 39713 1675 7 , , , 39713 1675 8 as as IN 39713 1675 9 a a DT 39713 1675 10 house house NN 39713 1675 11 is be VBZ 39713 1675 12 with with IN 39713 1675 13 stones stone NNS 39713 1675 14 . . . 39713 1676 1 But but CC 39713 1676 2 a a DT 39713 1676 3 collection collection NN 39713 1676 4 of of IN 39713 1676 5 facts fact NNS 39713 1676 6 is be VBZ 39713 1676 7 no no RB 39713 1676 8 more more JJR 39713 1676 9 a a DT 39713 1676 10 science science NN 39713 1676 11 than than IN 39713 1676 12 a a DT 39713 1676 13 heap heap NN 39713 1676 14 of of IN 39713 1676 15 stones stone NNS 39713 1676 16 is be VBZ 39713 1676 17 a a DT 39713 1676 18 house house NN 39713 1676 19 . . . 39713 1677 1 And and CC 39713 1677 2 above above IN 39713 1677 3 all all PDT 39713 1677 4 the the DT 39713 1677 5 scientist scientist NN 39713 1677 6 must must MD 39713 1677 7 foresee foresee VB 39713 1677 8 . . . 39713 1678 1 Carlyle Carlyle NNP 39713 1678 2 has have VBZ 39713 1678 3 somewhere somewhere RB 39713 1678 4 said say VBN 39713 1678 5 something something NN 39713 1678 6 like like IN 39713 1678 7 this this DT 39713 1678 8 : : : 39713 1678 9 " " `` 39713 1678 10 Nothing nothing NN 39713 1678 11 but but CC 39713 1678 12 facts fact NNS 39713 1678 13 are be VBP 39713 1678 14 of of IN 39713 1678 15 importance importance NN 39713 1678 16 . . . 39713 1679 1 John John NNP 39713 1679 2 Lackland Lackland NNP 39713 1679 3 passed pass VBD 39713 1679 4 by by RP 39713 1679 5 here here RB 39713 1679 6 . . . 39713 1680 1 Here here RB 39713 1680 2 is be VBZ 39713 1680 3 something something NN 39713 1680 4 that that WDT 39713 1680 5 is be VBZ 39713 1680 6 admirable admirable JJ 39713 1680 7 . . . 39713 1681 1 Here here RB 39713 1681 2 is be VBZ 39713 1681 3 a a DT 39713 1681 4 reality reality NN 39713 1681 5 for for IN 39713 1681 6 which which WDT 39713 1681 7 I -PRON- PRP 39713 1681 8 would would MD 39713 1681 9 give give VB 39713 1681 10 all all PDT 39713 1681 11 the the DT 39713 1681 12 theories theory NNS 39713 1681 13 in in IN 39713 1681 14 the the DT 39713 1681 15 world world NN 39713 1681 16 . . . 39713 1681 17 " " '' 39713 1682 1 Carlyle Carlyle NNP 39713 1682 2 was be VBD 39713 1682 3 a a DT 39713 1682 4 fellow fellow JJ 39713 1682 5 countryman countryman NN 39713 1682 6 of of IN 39713 1682 7 Bacon Bacon NNP 39713 1682 8 ; ; : 39713 1682 9 but but CC 39713 1682 10 Bacon Bacon NNP 39713 1682 11 would would MD 39713 1682 12 not not RB 39713 1682 13 have have VB 39713 1682 14 said say VBN 39713 1682 15 that that DT 39713 1682 16 . . . 39713 1683 1 That that DT 39713 1683 2 is be VBZ 39713 1683 3 the the DT 39713 1683 4 language language NN 39713 1683 5 of of IN 39713 1683 6 the the DT 39713 1683 7 historian historian NN 39713 1683 8 . . . 39713 1684 1 The the DT 39713 1684 2 physicist physicist NN 39713 1684 3 would would MD 39713 1684 4 say say VB 39713 1684 5 rather rather RB 39713 1684 6 : : : 39713 1684 7 " " `` 39713 1684 8 John John NNP 39713 1684 9 Lackland Lackland NNP 39713 1684 10 passed pass VBD 39713 1684 11 by by RP 39713 1684 12 here here RB 39713 1684 13 ; ; : 39713 1684 14 that that DT 39713 1684 15 makes make VBZ 39713 1684 16 no no DT 39713 1684 17 difference difference NN 39713 1684 18 to to IN 39713 1684 19 me -PRON- PRP 39713 1684 20 , , , 39713 1684 21 for for IN 39713 1684 22 he -PRON- PRP 39713 1684 23 never never RB 39713 1684 24 will will MD 39713 1684 25 pass pass VB 39713 1684 26 this this DT 39713 1684 27 way way NN 39713 1684 28 again again RB 39713 1684 29 . . . 39713 1684 30 " " '' 39713 1685 1 We -PRON- PRP 39713 1685 2 all all DT 39713 1685 3 know know VBP 39713 1685 4 that that IN 39713 1685 5 there there EX 39713 1685 6 are be VBP 39713 1685 7 good good JJ 39713 1685 8 experiments experiment NNS 39713 1685 9 and and CC 39713 1685 10 poor poor JJ 39713 1685 11 ones one NNS 39713 1685 12 . . . 39713 1686 1 The the DT 39713 1686 2 latter latter NN 39713 1686 3 will will MD 39713 1686 4 accumulate accumulate VB 39713 1686 5 in in IN 39713 1686 6 vain vain JJ 39713 1686 7 ; ; : 39713 1686 8 though though IN 39713 1686 9 one one PRP 39713 1686 10 may may MD 39713 1686 11 have have VB 39713 1686 12 made make VBN 39713 1686 13 a a DT 39713 1686 14 hundred hundred CD 39713 1686 15 or or CC 39713 1686 16 a a DT 39713 1686 17 thousand thousand CD 39713 1686 18 , , , 39713 1686 19 a a DT 39713 1686 20 single single JJ 39713 1686 21 piece piece NN 39713 1686 22 of of IN 39713 1686 23 work work NN 39713 1686 24 by by IN 39713 1686 25 a a DT 39713 1686 26 true true JJ 39713 1686 27 master master NN 39713 1686 28 , , , 39713 1686 29 by by IN 39713 1686 30 a a DT 39713 1686 31 Pasteur Pasteur NNP 39713 1686 32 , , , 39713 1686 33 for for IN 39713 1686 34 example example NN 39713 1686 35 , , , 39713 1686 36 will will MD 39713 1686 37 suffice suffice VB 39713 1686 38 to to TO 39713 1686 39 tumble tumble VB 39713 1686 40 them -PRON- PRP 39713 1686 41 into into IN 39713 1686 42 oblivion oblivion NN 39713 1686 43 . . . 39713 1687 1 Bacon Bacon NNP 39713 1687 2 would would MD 39713 1687 3 have have VB 39713 1687 4 well well RB 39713 1687 5 understood understand VBN 39713 1687 6 this this DT 39713 1687 7 ; ; : 39713 1687 8 it -PRON- PRP 39713 1687 9 is be VBZ 39713 1687 10 he -PRON- PRP 39713 1687 11 who who WP 39713 1687 12 invented invent VBD 39713 1687 13 the the DT 39713 1687 14 phrase phrase NN 39713 1687 15 _ _ NNP 39713 1687 16 Experimentum Experimentum NNP 39713 1687 17 crucis crucis NN 39713 1687 18 _ _ NNP 39713 1687 19 . . . 39713 1688 1 But but CC 39713 1688 2 Carlyle Carlyle NNP 39713 1688 3 would would MD 39713 1688 4 not not RB 39713 1688 5 have have VB 39713 1688 6 understood understand VBN 39713 1688 7 it -PRON- PRP 39713 1688 8 . . . 39713 1689 1 A a DT 39713 1689 2 fact fact NN 39713 1689 3 is be VBZ 39713 1689 4 a a DT 39713 1689 5 fact fact NN 39713 1689 6 . . . 39713 1690 1 A a DT 39713 1690 2 pupil pupil NN 39713 1690 3 has have VBZ 39713 1690 4 read read VBN 39713 1690 5 a a DT 39713 1690 6 certain certain JJ 39713 1690 7 number number NN 39713 1690 8 on on IN 39713 1690 9 his -PRON- PRP$ 39713 1690 10 thermometer thermometer NN 39713 1690 11 ; ; : 39713 1690 12 he -PRON- PRP 39713 1690 13 has have VBZ 39713 1690 14 taken take VBN 39713 1690 15 no no DT 39713 1690 16 precaution precaution NN 39713 1690 17 ; ; : 39713 1690 18 no no RB 39713 1690 19 matter matter RB 39713 1690 20 , , , 39713 1690 21 he -PRON- PRP 39713 1690 22 has have VBZ 39713 1690 23 read read VBN 39713 1690 24 it -PRON- PRP 39713 1690 25 , , , 39713 1690 26 and and CC 39713 1690 27 if if IN 39713 1690 28 it -PRON- PRP 39713 1690 29 is be VBZ 39713 1690 30 only only RB 39713 1690 31 the the DT 39713 1690 32 fact fact NN 39713 1690 33 that that IN 39713 1690 34 counts count VBZ 39713 1690 35 , , , 39713 1690 36 here here RB 39713 1690 37 is be VBZ 39713 1690 38 a a DT 39713 1690 39 reality reality NN 39713 1690 40 of of IN 39713 1690 41 the the DT 39713 1690 42 same same JJ 39713 1690 43 rank rank NN 39713 1690 44 as as IN 39713 1690 45 the the DT 39713 1690 46 peregrinations peregrination NNS 39713 1690 47 of of IN 39713 1690 48 King King NNP 39713 1690 49 John John NNP 39713 1690 50 Lackland Lackland NNP 39713 1690 51 . . . 39713 1691 1 Why why WRB 39713 1691 2 is be VBZ 39713 1691 3 the the DT 39713 1691 4 fact fact NN 39713 1691 5 that that IN 39713 1691 6 this this DT 39713 1691 7 pupil pupil NN 39713 1691 8 has have VBZ 39713 1691 9 made make VBN 39713 1691 10 this this DT 39713 1691 11 reading reading NN 39713 1691 12 of of IN 39713 1691 13 no no DT 39713 1691 14 interest interest NN 39713 1691 15 , , , 39713 1691 16 while while IN 39713 1691 17 the the DT 39713 1691 18 fact fact NN 39713 1691 19 that that IN 39713 1691 20 a a DT 39713 1691 21 skilled skilled JJ 39713 1691 22 physicist physicist NN 39713 1691 23 had have VBD 39713 1691 24 made make VBN 39713 1691 25 another another DT 39713 1691 26 reading reading NN 39713 1691 27 might may MD 39713 1691 28 be be VB 39713 1691 29 on on IN 39713 1691 30 the the DT 39713 1691 31 contrary contrary NN 39713 1691 32 very very RB 39713 1691 33 important important JJ 39713 1691 34 ? ? . 39713 1692 1 It -PRON- PRP 39713 1692 2 is be VBZ 39713 1692 3 because because IN 39713 1692 4 from from IN 39713 1692 5 the the DT 39713 1692 6 first first JJ 39713 1692 7 reading reading NN 39713 1692 8 we -PRON- PRP 39713 1692 9 could could MD 39713 1692 10 not not RB 39713 1692 11 infer infer VB 39713 1692 12 anything anything NN 39713 1692 13 . . . 39713 1693 1 What what WP 39713 1693 2 then then RB 39713 1693 3 is be VBZ 39713 1693 4 a a DT 39713 1693 5 good good JJ 39713 1693 6 experiment experiment NN 39713 1693 7 ? ? . 39713 1694 1 It -PRON- PRP 39713 1694 2 is be VBZ 39713 1694 3 that that DT 39713 1694 4 which which WDT 39713 1694 5 informs inform VBZ 39713 1694 6 us -PRON- PRP 39713 1694 7 of of IN 39713 1694 8 something something NN 39713 1694 9 besides besides IN 39713 1694 10 an an DT 39713 1694 11 isolated isolated JJ 39713 1694 12 fact fact NN 39713 1694 13 ; ; : 39713 1694 14 it -PRON- PRP 39713 1694 15 is be VBZ 39713 1694 16 that that DT 39713 1694 17 which which WDT 39713 1694 18 enables enable VBZ 39713 1694 19 us -PRON- PRP 39713 1694 20 to to TO 39713 1694 21 foresee foresee VB 39713 1694 22 , , , 39713 1694 23 that that RB 39713 1694 24 is is RB 39713 1694 25 , , , 39713 1694 26 that that IN 39713 1694 27 which which WDT 39713 1694 28 enables enable VBZ 39713 1694 29 us -PRON- PRP 39713 1694 30 to to TO 39713 1694 31 generalize generalize VB 39713 1694 32 . . . 39713 1695 1 For for IN 39713 1695 2 without without IN 39713 1695 3 generalization generalization NN 39713 1695 4 foreknowledge foreknowledge NN 39713 1695 5 is be VBZ 39713 1695 6 impossible impossible JJ 39713 1695 7 . . . 39713 1696 1 The the DT 39713 1696 2 circumstances circumstance NNS 39713 1696 3 under under IN 39713 1696 4 which which WDT 39713 1696 5 one one NN 39713 1696 6 has have VBZ 39713 1696 7 worked work VBN 39713 1696 8 will will MD 39713 1696 9 never never RB 39713 1696 10 reproduce reproduce VB 39713 1696 11 themselves -PRON- PRP 39713 1696 12 all all DT 39713 1696 13 at at IN 39713 1696 14 once once RB 39713 1696 15 . . . 39713 1697 1 The the DT 39713 1697 2 observed observed JJ 39713 1697 3 action action NN 39713 1697 4 then then RB 39713 1697 5 will will MD 39713 1697 6 never never RB 39713 1697 7 recur recur VB 39713 1697 8 ; ; : 39713 1697 9 the the DT 39713 1697 10 only only JJ 39713 1697 11 thing thing NN 39713 1697 12 that that WDT 39713 1697 13 can can MD 39713 1697 14 be be VB 39713 1697 15 affirmed affirm VBN 39713 1697 16 is be VBZ 39713 1697 17 that that IN 39713 1697 18 under under IN 39713 1697 19 analogous analogous JJ 39713 1697 20 circumstances circumstance NNS 39713 1697 21 an an DT 39713 1697 22 analogous analogous JJ 39713 1697 23 action action NN 39713 1697 24 will will MD 39713 1697 25 be be VB 39713 1697 26 produced produce VBN 39713 1697 27 . . . 39713 1698 1 In in IN 39713 1698 2 order order NN 39713 1698 3 to to TO 39713 1698 4 foresee foresee VB 39713 1698 5 , , , 39713 1698 6 then then RB 39713 1698 7 , , , 39713 1698 8 it -PRON- PRP 39713 1698 9 is be VBZ 39713 1698 10 necessary necessary JJ 39713 1698 11 to to TO 39713 1698 12 invoke invoke VB 39713 1698 13 at at IN 39713 1698 14 least least JJS 39713 1698 15 analogy analogy NN 39713 1698 16 , , , 39713 1698 17 that that DT 39713 1698 18 is be VBZ 39713 1698 19 to to TO 39713 1698 20 say say VB 39713 1698 21 , , , 39713 1698 22 already already RB 39713 1698 23 then then RB 39713 1698 24 to to TO 39713 1698 25 generalize generalize VB 39713 1698 26 . . . 39713 1699 1 No no RB 39713 1699 2 matter matter RB 39713 1699 3 how how WRB 39713 1699 4 timid timid JJ 39713 1699 5 one one PRP 39713 1699 6 may may MD 39713 1699 7 be be VB 39713 1699 8 , , , 39713 1699 9 still still RB 39713 1699 10 it -PRON- PRP 39713 1699 11 is be VBZ 39713 1699 12 necessary necessary JJ 39713 1699 13 to to TO 39713 1699 14 interpolate interpolate VB 39713 1699 15 . . . 39713 1700 1 Experiment experiment NN 39713 1700 2 gives give VBZ 39713 1700 3 us -PRON- PRP 39713 1700 4 only only RB 39713 1700 5 a a DT 39713 1700 6 certain certain JJ 39713 1700 7 number number NN 39713 1700 8 of of IN 39713 1700 9 isolated isolated JJ 39713 1700 10 points point NNS 39713 1700 11 . . . 39713 1701 1 We -PRON- PRP 39713 1701 2 must must MD 39713 1701 3 unite unite VB 39713 1701 4 these these DT 39713 1701 5 by by IN 39713 1701 6 a a DT 39713 1701 7 continuous continuous JJ 39713 1701 8 line line NN 39713 1701 9 . . . 39713 1702 1 This this DT 39713 1702 2 is be VBZ 39713 1702 3 a a DT 39713 1702 4 veritable veritable JJ 39713 1702 5 generalization generalization NN 39713 1702 6 . . . 39713 1703 1 But but CC 39713 1703 2 we -PRON- PRP 39713 1703 3 do do VBP 39713 1703 4 more more JJR 39713 1703 5 ; ; : 39713 1703 6 the the DT 39713 1703 7 curve curve NN 39713 1703 8 that that WDT 39713 1703 9 we -PRON- PRP 39713 1703 10 shall shall MD 39713 1703 11 trace trace NN 39713 1703 12 will will MD 39713 1703 13 pass pass VB 39713 1703 14 between between IN 39713 1703 15 the the DT 39713 1703 16 observed observed JJ 39713 1703 17 points point NNS 39713 1703 18 and and CC 39713 1703 19 near near IN 39713 1703 20 these these DT 39713 1703 21 points point NNS 39713 1703 22 ; ; : 39713 1703 23 it -PRON- PRP 39713 1703 24 will will MD 39713 1703 25 not not RB 39713 1703 26 pass pass VB 39713 1703 27 through through RP 39713 1703 28 these these DT 39713 1703 29 points point NNS 39713 1703 30 themselves -PRON- PRP 39713 1703 31 . . . 39713 1704 1 Thus thus RB 39713 1704 2 one one PRP 39713 1704 3 does do VBZ 39713 1704 4 not not RB 39713 1704 5 restrict restrict VB 39713 1704 6 himself -PRON- PRP 39713 1704 7 to to IN 39713 1704 8 generalizing generalize VBG 39713 1704 9 the the DT 39713 1704 10 experiments experiment NNS 39713 1704 11 , , , 39713 1704 12 but but CC 39713 1704 13 corrects correct VBZ 39713 1704 14 them -PRON- PRP 39713 1704 15 ; ; : 39713 1704 16 and and CC 39713 1704 17 the the DT 39713 1704 18 physicist physicist NN 39713 1704 19 who who WP 39713 1704 20 should should MD 39713 1704 21 try try VB 39713 1704 22 to to TO 39713 1704 23 abstain abstain VB 39713 1704 24 from from IN 39713 1704 25 these these DT 39713 1704 26 corrections correction NNS 39713 1704 27 and and CC 39713 1704 28 really really RB 39713 1704 29 be be VB 39713 1704 30 content content JJ 39713 1704 31 with with IN 39713 1704 32 the the DT 39713 1704 33 bare bare JJ 39713 1704 34 experiment experiment NN 39713 1704 35 , , , 39713 1704 36 would would MD 39713 1704 37 be be VB 39713 1704 38 forced force VBN 39713 1704 39 to to TO 39713 1704 40 enunciate enunciate VB 39713 1704 41 some some DT 39713 1704 42 very very RB 39713 1704 43 strange strange JJ 39713 1704 44 laws law NNS 39713 1704 45 . . . 39713 1705 1 The the DT 39713 1705 2 bare bare JJ 39713 1705 3 facts fact NNS 39713 1705 4 , , , 39713 1705 5 then then RB 39713 1705 6 , , , 39713 1705 7 would would MD 39713 1705 8 not not RB 39713 1705 9 be be VB 39713 1705 10 enough enough JJ 39713 1705 11 for for IN 39713 1705 12 us -PRON- PRP 39713 1705 13 ; ; : 39713 1705 14 and and CC 39713 1705 15 that that DT 39713 1705 16 is be VBZ 39713 1705 17 why why WRB 39713 1705 18 we -PRON- PRP 39713 1705 19 must must MD 39713 1705 20 have have VB 39713 1705 21 science science NN 39713 1705 22 ordered order VBN 39713 1705 23 , , , 39713 1705 24 or or CC 39713 1705 25 rather rather RB 39713 1705 26 organized organized JJ 39713 1705 27 . . . 39713 1706 1 It -PRON- PRP 39713 1706 2 is be VBZ 39713 1706 3 often often RB 39713 1706 4 said say VBN 39713 1706 5 experiments experiment NNS 39713 1706 6 must must MD 39713 1706 7 be be VB 39713 1706 8 made make VBN 39713 1706 9 without without IN 39713 1706 10 a a DT 39713 1706 11 preconceived preconceived JJ 39713 1706 12 idea idea NN 39713 1706 13 . . . 39713 1707 1 That that DT 39713 1707 2 is be VBZ 39713 1707 3 impossible impossible JJ 39713 1707 4 . . . 39713 1708 1 Not not RB 39713 1708 2 only only RB 39713 1708 3 would would MD 39713 1708 4 it -PRON- PRP 39713 1708 5 make make VB 39713 1708 6 all all DT 39713 1708 7 experiment experiment NN 39713 1708 8 barren barren JJ 39713 1708 9 , , , 39713 1708 10 but but CC 39713 1708 11 that that DT 39713 1708 12 would would MD 39713 1708 13 be be VB 39713 1708 14 attempted attempt VBN 39713 1708 15 which which WDT 39713 1708 16 could could MD 39713 1708 17 not not RB 39713 1708 18 be be VB 39713 1708 19 done do VBN 39713 1708 20 . . . 39713 1709 1 Every every DT 39713 1709 2 one one NN 39713 1709 3 carries carry VBZ 39713 1709 4 in in IN 39713 1709 5 his -PRON- PRP$ 39713 1709 6 mind mind NN 39713 1709 7 his -PRON- PRP$ 39713 1709 8 own own JJ 39713 1709 9 conception conception NN 39713 1709 10 of of IN 39713 1709 11 the the DT 39713 1709 12 world world NN 39713 1709 13 , , , 39713 1709 14 of of IN 39713 1709 15 which which WDT 39713 1709 16 he -PRON- PRP 39713 1709 17 can can MD 39713 1709 18 not not RB 39713 1709 19 so so RB 39713 1709 20 easily easily RB 39713 1709 21 rid rid VBN 39713 1709 22 himself -PRON- PRP 39713 1709 23 . . . 39713 1710 1 We -PRON- PRP 39713 1710 2 must must MD 39713 1710 3 , , , 39713 1710 4 for for IN 39713 1710 5 instance instance NN 39713 1710 6 , , , 39713 1710 7 use use NN 39713 1710 8 language language NN 39713 1710 9 ; ; : 39713 1710 10 and and CC 39713 1710 11 our -PRON- PRP$ 39713 1710 12 language language NN 39713 1710 13 is be VBZ 39713 1710 14 made make VBN 39713 1710 15 up up RP 39713 1710 16 only only RB 39713 1710 17 of of IN 39713 1710 18 preconceived preconceive VBN 39713 1710 19 ideas idea NNS 39713 1710 20 and and CC 39713 1710 21 can can MD 39713 1710 22 not not RB 39713 1710 23 be be VB 39713 1710 24 otherwise otherwise RB 39713 1710 25 . . . 39713 1711 1 Only only RB 39713 1711 2 these these DT 39713 1711 3 are be VBP 39713 1711 4 unconscious unconscious JJ 39713 1711 5 preconceived preconceive VBN 39713 1711 6 ideas idea NNS 39713 1711 7 , , , 39713 1711 8 a a DT 39713 1711 9 thousand thousand CD 39713 1711 10 times time NNS 39713 1711 11 more more RBR 39713 1711 12 dangerous dangerous JJ 39713 1711 13 than than IN 39713 1711 14 the the DT 39713 1711 15 others other NNS 39713 1711 16 . . . 39713 1712 1 Shall Shall MD 39713 1712 2 we -PRON- PRP 39713 1712 3 say say VB 39713 1712 4 that that IN 39713 1712 5 if if IN 39713 1712 6 we -PRON- PRP 39713 1712 7 introduce introduce VBP 39713 1712 8 others other NNS 39713 1712 9 , , , 39713 1712 10 of of IN 39713 1712 11 which which WDT 39713 1712 12 we -PRON- PRP 39713 1712 13 are be VBP 39713 1712 14 fully fully RB 39713 1712 15 conscious conscious JJ 39713 1712 16 , , , 39713 1712 17 we -PRON- PRP 39713 1712 18 shall shall MD 39713 1712 19 only only RB 39713 1712 20 aggravate aggravate VB 39713 1712 21 the the DT 39713 1712 22 evil evil NN 39713 1712 23 ? ? . 39713 1713 1 I -PRON- PRP 39713 1713 2 think think VBP 39713 1713 3 not not RB 39713 1713 4 . . . 39713 1714 1 I -PRON- PRP 39713 1714 2 believe believe VBP 39713 1714 3 rather rather RB 39713 1714 4 that that IN 39713 1714 5 they -PRON- PRP 39713 1714 6 will will MD 39713 1714 7 serve serve VB 39713 1714 8 as as IN 39713 1714 9 counterbalances counterbalance NNS 39713 1714 10 to to IN 39713 1714 11 each each DT 39713 1714 12 other other JJ 39713 1714 13 -- -- . 39713 1714 14 I -PRON- PRP 39713 1714 15 was be VBD 39713 1714 16 going go VBG 39713 1714 17 to to TO 39713 1714 18 say say VB 39713 1714 19 as as IN 39713 1714 20 antidotes antidote NNS 39713 1714 21 ; ; : 39713 1714 22 they -PRON- PRP 39713 1714 23 will will MD 39713 1714 24 in in IN 39713 1714 25 general general JJ 39713 1714 26 accord accord NNP 39713 1714 27 ill ill NNP 39713 1714 28 with with IN 39713 1714 29 one one CD 39713 1714 30 another another DT 39713 1714 31 -- -- : 39713 1714 32 they -PRON- PRP 39713 1714 33 will will MD 39713 1714 34 come come VB 39713 1714 35 into into IN 39713 1714 36 conflict conflict NN 39713 1714 37 with with IN 39713 1714 38 one one NN 39713 1714 39 another another DT 39713 1714 40 , , , 39713 1714 41 and and CC 39713 1714 42 thereby thereby RB 39713 1714 43 force force VB 39713 1714 44 us -PRON- PRP 39713 1714 45 to to TO 39713 1714 46 regard regard VB 39713 1714 47 things thing NNS 39713 1714 48 under under IN 39713 1714 49 different different JJ 39713 1714 50 aspects aspect NNS 39713 1714 51 . . . 39713 1715 1 This this DT 39713 1715 2 is be VBZ 39713 1715 3 enough enough JJ 39713 1715 4 to to TO 39713 1715 5 emancipate emancipate VB 39713 1715 6 us -PRON- PRP 39713 1715 7 . . . 39713 1716 1 He -PRON- PRP 39713 1716 2 is be VBZ 39713 1716 3 no no RB 39713 1716 4 longer long RBR 39713 1716 5 a a DT 39713 1716 6 slave slave NN 39713 1716 7 who who WP 39713 1716 8 can can MD 39713 1716 9 choose choose VB 39713 1716 10 his -PRON- PRP$ 39713 1716 11 master master NN 39713 1716 12 . . . 39713 1717 1 Thus thus RB 39713 1717 2 , , , 39713 1717 3 thanks thank NNS 39713 1717 4 to to IN 39713 1717 5 generalization generalization NN 39713 1717 6 , , , 39713 1717 7 each each DT 39713 1717 8 fact fact NN 39713 1717 9 observed observe VBD 39713 1717 10 enables enable VBZ 39713 1717 11 us -PRON- PRP 39713 1717 12 to to TO 39713 1717 13 foresee foresee VB 39713 1717 14 a a DT 39713 1717 15 great great JJ 39713 1717 16 many many JJ 39713 1717 17 others other NNS 39713 1717 18 ; ; : 39713 1717 19 only only RB 39713 1717 20 we -PRON- PRP 39713 1717 21 must must MD 39713 1717 22 not not RB 39713 1717 23 forget forget VB 39713 1717 24 that that IN 39713 1717 25 the the DT 39713 1717 26 first first JJ 39713 1717 27 alone alone RB 39713 1717 28 is be VBZ 39713 1717 29 certain certain JJ 39713 1717 30 , , , 39713 1717 31 that that IN 39713 1717 32 all all DT 39713 1717 33 others other NNS 39713 1717 34 are be VBP 39713 1717 35 merely merely RB 39713 1717 36 probable probable JJ 39713 1717 37 . . . 39713 1718 1 No no RB 39713 1718 2 matter matter RB 39713 1718 3 how how WRB 39713 1718 4 solidly solidly RB 39713 1718 5 founded found VBD 39713 1718 6 a a DT 39713 1718 7 prediction prediction NN 39713 1718 8 may may MD 39713 1718 9 appear appear VB 39713 1718 10 to to IN 39713 1718 11 us -PRON- PRP 39713 1718 12 , , , 39713 1718 13 we -PRON- PRP 39713 1718 14 are be VBP 39713 1718 15 never never RB 39713 1718 16 _ _ NNP 39713 1718 17 absolutely absolutely RB 39713 1718 18 _ _ NNP 39713 1718 19 sure sure UH 39713 1718 20 that that DT 39713 1718 21 experiment experiment NN 39713 1718 22 will will MD 39713 1718 23 not not RB 39713 1718 24 contradict contradict VB 39713 1718 25 it -PRON- PRP 39713 1718 26 , , , 39713 1718 27 if if IN 39713 1718 28 we -PRON- PRP 39713 1718 29 undertake undertake VBP 39713 1718 30 to to TO 39713 1718 31 verify verify VB 39713 1718 32 it -PRON- PRP 39713 1718 33 . . . 39713 1719 1 The the DT 39713 1719 2 probability probability NN 39713 1719 3 , , , 39713 1719 4 however however RB 39713 1719 5 , , , 39713 1719 6 is be VBZ 39713 1719 7 often often RB 39713 1719 8 so so RB 39713 1719 9 great great JJ 39713 1719 10 that that IN 39713 1719 11 practically practically RB 39713 1719 12 we -PRON- PRP 39713 1719 13 may may MD 39713 1719 14 be be VB 39713 1719 15 content content JJ 39713 1719 16 with with IN 39713 1719 17 it -PRON- PRP 39713 1719 18 . . . 39713 1720 1 It -PRON- PRP 39713 1720 2 is be VBZ 39713 1720 3 far far RB 39713 1720 4 better well JJR 39713 1720 5 to to TO 39713 1720 6 foresee foresee VB 39713 1720 7 even even RB 39713 1720 8 without without IN 39713 1720 9 certainty certainty NN 39713 1720 10 than than IN 39713 1720 11 not not RB 39713 1720 12 to to TO 39713 1720 13 foresee foresee VB 39713 1720 14 at at RB 39713 1720 15 all all RB 39713 1720 16 . . . 39713 1721 1 One one CD 39713 1721 2 must must MD 39713 1721 3 , , , 39713 1721 4 then then RB 39713 1721 5 , , , 39713 1721 6 never never RB 39713 1721 7 disdain disdain VB 39713 1721 8 to to TO 39713 1721 9 make make VB 39713 1721 10 a a DT 39713 1721 11 verification verification NN 39713 1721 12 when when WRB 39713 1721 13 opportunity opportunity NN 39713 1721 14 offers offer VBZ 39713 1721 15 . . . 39713 1722 1 But but CC 39713 1722 2 all all DT 39713 1722 3 experiment experiment NN 39713 1722 4 is be VBZ 39713 1722 5 long long JJ 39713 1722 6 and and CC 39713 1722 7 difficult difficult JJ 39713 1722 8 ; ; : 39713 1722 9 the the DT 39713 1722 10 workers worker NNS 39713 1722 11 are be VBP 39713 1722 12 few few JJ 39713 1722 13 ; ; : 39713 1722 14 and and CC 39713 1722 15 the the DT 39713 1722 16 number number NN 39713 1722 17 of of IN 39713 1722 18 facts fact NNS 39713 1722 19 that that WDT 39713 1722 20 we -PRON- PRP 39713 1722 21 need need VBP 39713 1722 22 to to TO 39713 1722 23 foresee foresee VB 39713 1722 24 is be VBZ 39713 1722 25 immense immense JJ 39713 1722 26 . . . 39713 1723 1 Compared compare VBN 39713 1723 2 with with IN 39713 1723 3 this this DT 39713 1723 4 mass mass NN 39713 1723 5 the the DT 39713 1723 6 number number NN 39713 1723 7 of of IN 39713 1723 8 direct direct JJ 39713 1723 9 verifications verification NNS 39713 1723 10 that that WDT 39713 1723 11 we -PRON- PRP 39713 1723 12 can can MD 39713 1723 13 make make VB 39713 1723 14 will will MD 39713 1723 15 never never RB 39713 1723 16 be be VB 39713 1723 17 anything anything NN 39713 1723 18 but but IN 39713 1723 19 a a DT 39713 1723 20 negligible negligible JJ 39713 1723 21 quantity quantity NN 39713 1723 22 . . . 39713 1724 1 Of of IN 39713 1724 2 this this DT 39713 1724 3 few few JJ 39713 1724 4 that that IN 39713 1724 5 we -PRON- PRP 39713 1724 6 can can MD 39713 1724 7 directly directly RB 39713 1724 8 attain attain VB 39713 1724 9 , , , 39713 1724 10 we -PRON- PRP 39713 1724 11 must must MD 39713 1724 12 make make VB 39713 1724 13 the the DT 39713 1724 14 best good JJS 39713 1724 15 use use NN 39713 1724 16 ; ; : 39713 1724 17 it -PRON- PRP 39713 1724 18 is be VBZ 39713 1724 19 very very RB 39713 1724 20 necessary necessary JJ 39713 1724 21 to to TO 39713 1724 22 get get VB 39713 1724 23 from from IN 39713 1724 24 every every DT 39713 1724 25 experiment experiment NN 39713 1724 26 the the DT 39713 1724 27 greatest great JJS 39713 1724 28 possible possible JJ 39713 1724 29 number number NN 39713 1724 30 of of IN 39713 1724 31 predictions prediction NNS 39713 1724 32 , , , 39713 1724 33 and and CC 39713 1724 34 with with IN 39713 1724 35 the the DT 39713 1724 36 highest high JJS 39713 1724 37 possible possible JJ 39713 1724 38 degree degree NN 39713 1724 39 of of IN 39713 1724 40 probability probability NN 39713 1724 41 . . . 39713 1725 1 The the DT 39713 1725 2 problem problem NN 39713 1725 3 is be VBZ 39713 1725 4 , , , 39713 1725 5 so so RB 39713 1725 6 to to TO 39713 1725 7 speak speak VB 39713 1725 8 , , , 39713 1725 9 to to TO 39713 1725 10 increase increase VB 39713 1725 11 the the DT 39713 1725 12 yield yield NN 39713 1725 13 of of IN 39713 1725 14 the the DT 39713 1725 15 scientific scientific JJ 39713 1725 16 machine machine NN 39713 1725 17 . . . 39713 1726 1 Let let VB 39713 1726 2 us -PRON- PRP 39713 1726 3 compare compare VB 39713 1726 4 science science NN 39713 1726 5 to to IN 39713 1726 6 a a DT 39713 1726 7 library library NN 39713 1726 8 that that WDT 39713 1726 9 ought ought MD 39713 1726 10 to to TO 39713 1726 11 grow grow VB 39713 1726 12 continually continually RB 39713 1726 13 . . . 39713 1727 1 The the DT 39713 1727 2 librarian librarian NN 39713 1727 3 has have VBZ 39713 1727 4 at at IN 39713 1727 5 his -PRON- PRP$ 39713 1727 6 disposal disposal NN 39713 1727 7 for for IN 39713 1727 8 his -PRON- PRP$ 39713 1727 9 purchases purchase NNS 39713 1727 10 only only RB 39713 1727 11 insufficient insufficient JJ 39713 1727 12 funds fund NNS 39713 1727 13 . . . 39713 1728 1 He -PRON- PRP 39713 1728 2 ought ought MD 39713 1728 3 to to TO 39713 1728 4 make make VB 39713 1728 5 an an DT 39713 1728 6 effort effort NN 39713 1728 7 not not RB 39713 1728 8 to to TO 39713 1728 9 waste waste VB 39713 1728 10 them -PRON- PRP 39713 1728 11 . . . 39713 1729 1 It -PRON- PRP 39713 1729 2 is be VBZ 39713 1729 3 experimental experimental JJ 39713 1729 4 physics physics NN 39713 1729 5 that that WDT 39713 1729 6 is be VBZ 39713 1729 7 entrusted entrust VBN 39713 1729 8 with with IN 39713 1729 9 the the DT 39713 1729 10 purchases purchase NNS 39713 1729 11 . . . 39713 1730 1 It -PRON- PRP 39713 1730 2 alone alone RB 39713 1730 3 , , , 39713 1730 4 then then RB 39713 1730 5 , , , 39713 1730 6 can can MD 39713 1730 7 enrich enrich VB 39713 1730 8 the the DT 39713 1730 9 library library NN 39713 1730 10 . . . 39713 1731 1 As as IN 39713 1731 2 for for IN 39713 1731 3 mathematical mathematical JJ 39713 1731 4 physics physics NN 39713 1731 5 , , , 39713 1731 6 its -PRON- PRP$ 39713 1731 7 task task NN 39713 1731 8 will will MD 39713 1731 9 be be VB 39713 1731 10 to to TO 39713 1731 11 make make VB 39713 1731 12 out out RP 39713 1731 13 the the DT 39713 1731 14 catalogue catalogue NN 39713 1731 15 . . . 39713 1732 1 If if IN 39713 1732 2 the the DT 39713 1732 3 catalogue catalogue NN 39713 1732 4 is be VBZ 39713 1732 5 well well RB 39713 1732 6 made make VBN 39713 1732 7 , , , 39713 1732 8 the the DT 39713 1732 9 library library NN 39713 1732 10 will will MD 39713 1732 11 not not RB 39713 1732 12 be be VB 39713 1732 13 any any RB 39713 1732 14 richer rich JJR 39713 1732 15 , , , 39713 1732 16 but but CC 39713 1732 17 the the DT 39713 1732 18 reader reader NN 39713 1732 19 will will MD 39713 1732 20 be be VB 39713 1732 21 helped help VBN 39713 1732 22 to to TO 39713 1732 23 use use VB 39713 1732 24 its -PRON- PRP$ 39713 1732 25 riches rich NNS 39713 1732 26 . . . 39713 1733 1 And and CC 39713 1733 2 even even RB 39713 1733 3 by by IN 39713 1733 4 showing show VBG 39713 1733 5 the the DT 39713 1733 6 librarian librarian NN 39713 1733 7 the the DT 39713 1733 8 gaps gap NNS 39713 1733 9 in in IN 39713 1733 10 his -PRON- PRP$ 39713 1733 11 collections collection NNS 39713 1733 12 , , , 39713 1733 13 it -PRON- PRP 39713 1733 14 will will MD 39713 1733 15 enable enable VB 39713 1733 16 him -PRON- PRP 39713 1733 17 to to TO 39713 1733 18 make make VB 39713 1733 19 a a DT 39713 1733 20 judicious judicious JJ 39713 1733 21 use use NN 39713 1733 22 of of IN 39713 1733 23 his -PRON- PRP$ 39713 1733 24 funds fund NNS 39713 1733 25 ; ; : 39713 1733 26 which which WDT 39713 1733 27 is be VBZ 39713 1733 28 all all PDT 39713 1733 29 the the DT 39713 1733 30 more more RBR 39713 1733 31 important important JJ 39713 1733 32 because because IN 39713 1733 33 these these DT 39713 1733 34 funds fund NNS 39713 1733 35 are be VBP 39713 1733 36 entirely entirely RB 39713 1733 37 inadequate inadequate JJ 39713 1733 38 . . . 39713 1734 1 Such such JJ 39713 1734 2 , , , 39713 1734 3 then then RB 39713 1734 4 , , , 39713 1734 5 is be VBZ 39713 1734 6 the the DT 39713 1734 7 rôle rôle NN 39713 1734 8 of of IN 39713 1734 9 mathematical mathematical JJ 39713 1734 10 physics physics NN 39713 1734 11 . . . 39713 1735 1 It -PRON- PRP 39713 1735 2 must must MD 39713 1735 3 direct direct VB 39713 1735 4 generalization generalization NN 39713 1735 5 in in IN 39713 1735 6 such such PDT 39713 1735 7 a a DT 39713 1735 8 manner manner NN 39713 1735 9 as as IN 39713 1735 10 to to TO 39713 1735 11 increase increase VB 39713 1735 12 what what WP 39713 1735 13 I -PRON- PRP 39713 1735 14 just just RB 39713 1735 15 now now RB 39713 1735 16 called call VBD 39713 1735 17 the the DT 39713 1735 18 yield yield NN 39713 1735 19 of of IN 39713 1735 20 science science NN 39713 1735 21 . . . 39713 1736 1 By by IN 39713 1736 2 what what WP 39713 1736 3 means mean VBZ 39713 1736 4 it -PRON- PRP 39713 1736 5 can can MD 39713 1736 6 arrive arrive VB 39713 1736 7 at at IN 39713 1736 8 this this DT 39713 1736 9 , , , 39713 1736 10 and and CC 39713 1736 11 how how WRB 39713 1736 12 it -PRON- PRP 39713 1736 13 can can MD 39713 1736 14 do do VB 39713 1736 15 it -PRON- PRP 39713 1736 16 without without IN 39713 1736 17 danger danger NN 39713 1736 18 , , , 39713 1736 19 is be VBZ 39713 1736 20 what what WP 39713 1736 21 remains remain VBZ 39713 1736 22 for for IN 39713 1736 23 us -PRON- PRP 39713 1736 24 to to TO 39713 1736 25 investigate investigate VB 39713 1736 26 . . . 39713 1737 1 THE the DT 39713 1737 2 UNITY unity NN 39713 1737 3 OF of IN 39713 1737 4 NATURE.--Let nature.--let CD 39713 1737 5 us us NNP 39713 1737 6 notice notice NN 39713 1737 7 , , , 39713 1737 8 first first RB 39713 1737 9 of of IN 39713 1737 10 all all DT 39713 1737 11 , , , 39713 1737 12 that that IN 39713 1737 13 every every DT 39713 1737 14 generalization generalization NN 39713 1737 15 implies imply VBZ 39713 1737 16 in in IN 39713 1737 17 some some DT 39713 1737 18 measure measure NN 39713 1737 19 the the DT 39713 1737 20 belief belief NN 39713 1737 21 in in IN 39713 1737 22 the the DT 39713 1737 23 unity unity NN 39713 1737 24 and and CC 39713 1737 25 simplicity simplicity NN 39713 1737 26 of of IN 39713 1737 27 nature nature NN 39713 1737 28 . . . 39713 1738 1 As as IN 39713 1738 2 to to IN 39713 1738 3 the the DT 39713 1738 4 unity unity NN 39713 1738 5 there there EX 39713 1738 6 can can MD 39713 1738 7 be be VB 39713 1738 8 no no DT 39713 1738 9 difficulty difficulty NN 39713 1738 10 . . . 39713 1739 1 If if IN 39713 1739 2 the the DT 39713 1739 3 different different JJ 39713 1739 4 parts part NNS 39713 1739 5 of of IN 39713 1739 6 the the DT 39713 1739 7 universe universe NN 39713 1739 8 were be VBD 39713 1739 9 not not RB 39713 1739 10 like like IN 39713 1739 11 the the DT 39713 1739 12 members member NNS 39713 1739 13 of of IN 39713 1739 14 one one CD 39713 1739 15 body body NN 39713 1739 16 , , , 39713 1739 17 they -PRON- PRP 39713 1739 18 would would MD 39713 1739 19 not not RB 39713 1739 20 act act VB 39713 1739 21 on on IN 39713 1739 22 one one CD 39713 1739 23 another another DT 39713 1739 24 , , , 39713 1739 25 they -PRON- PRP 39713 1739 26 would would MD 39713 1739 27 know know VB 39713 1739 28 nothing nothing NN 39713 1739 29 of of IN 39713 1739 30 one one CD 39713 1739 31 another another DT 39713 1739 32 ; ; : 39713 1739 33 and and CC 39713 1739 34 we -PRON- PRP 39713 1739 35 in in IN 39713 1739 36 particular particular JJ 39713 1739 37 would would MD 39713 1739 38 know know VB 39713 1739 39 only only RB 39713 1739 40 one one CD 39713 1739 41 of of IN 39713 1739 42 these these DT 39713 1739 43 parts part NNS 39713 1739 44 . . . 39713 1740 1 We -PRON- PRP 39713 1740 2 do do VBP 39713 1740 3 not not RB 39713 1740 4 ask ask VB 39713 1740 5 , , , 39713 1740 6 then then RB 39713 1740 7 , , , 39713 1740 8 if if IN 39713 1740 9 nature nature NN 39713 1740 10 is be VBZ 39713 1740 11 one one CD 39713 1740 12 , , , 39713 1740 13 but but CC 39713 1740 14 how how WRB 39713 1740 15 it -PRON- PRP 39713 1740 16 is be VBZ 39713 1740 17 one one CD 39713 1740 18 . . . 39713 1741 1 As as IN 39713 1741 2 for for IN 39713 1741 3 the the DT 39713 1741 4 second second JJ 39713 1741 5 point point NN 39713 1741 6 , , , 39713 1741 7 that that DT 39713 1741 8 is be VBZ 39713 1741 9 not not RB 39713 1741 10 such such PDT 39713 1741 11 an an DT 39713 1741 12 easy easy JJ 39713 1741 13 matter matter NN 39713 1741 14 . . . 39713 1742 1 It -PRON- PRP 39713 1742 2 is be VBZ 39713 1742 3 not not RB 39713 1742 4 certain certain JJ 39713 1742 5 that that IN 39713 1742 6 nature nature NN 39713 1742 7 is be VBZ 39713 1742 8 simple simple JJ 39713 1742 9 . . . 39713 1743 1 Can Can MD 39713 1743 2 we -PRON- PRP 39713 1743 3 without without IN 39713 1743 4 danger danger NN 39713 1743 5 act act VBP 39713 1743 6 as as IN 39713 1743 7 if if IN 39713 1743 8 it -PRON- PRP 39713 1743 9 were be VBD 39713 1743 10 ? ? . 39713 1744 1 There there EX 39713 1744 2 was be VBD 39713 1744 3 a a DT 39713 1744 4 time time NN 39713 1744 5 when when WRB 39713 1744 6 the the DT 39713 1744 7 simplicity simplicity NN 39713 1744 8 of of IN 39713 1744 9 Mariotte Mariotte NNP 39713 1744 10 's 's POS 39713 1744 11 law law NN 39713 1744 12 was be VBD 39713 1744 13 an an DT 39713 1744 14 argument argument NN 39713 1744 15 invoked invoke VBD 39713 1744 16 in in IN 39713 1744 17 favor favor NN 39713 1744 18 of of IN 39713 1744 19 its -PRON- PRP$ 39713 1744 20 accuracy accuracy NN 39713 1744 21 ; ; : 39713 1744 22 when when WRB 39713 1744 23 Fresnel fresnel VB 39713 1744 24 himself -PRON- PRP 39713 1744 25 , , , 39713 1744 26 after after IN 39713 1744 27 having have VBG 39713 1744 28 said say VBD 39713 1744 29 in in IN 39713 1744 30 a a DT 39713 1744 31 conversation conversation NN 39713 1744 32 with with IN 39713 1744 33 Laplace Laplace NNP 39713 1744 34 that that IN 39713 1744 35 nature nature NN 39713 1744 36 was be VBD 39713 1744 37 not not RB 39713 1744 38 concerned concerned JJ 39713 1744 39 about about IN 39713 1744 40 analytical analytical JJ 39713 1744 41 difficulties difficulty NNS 39713 1744 42 , , , 39713 1744 43 felt feel VBD 39713 1744 44 himself -PRON- PRP 39713 1744 45 obliged oblige VBN 39713 1744 46 to to TO 39713 1744 47 make make VB 39713 1744 48 explanations explanation NNS 39713 1744 49 , , , 39713 1744 50 in in IN 39713 1744 51 order order NN 39713 1744 52 not not RB 39713 1744 53 to to TO 39713 1744 54 strike strike VB 39713 1744 55 too too RB 39713 1744 56 hard hard RB 39713 1744 57 at at IN 39713 1744 58 prevailing prevail VBG 39713 1744 59 opinion opinion NN 39713 1744 60 . . . 39713 1745 1 To to IN 39713 1745 2 - - HYPH 39713 1745 3 day day NN 39713 1745 4 ideas idea NNS 39713 1745 5 have have VBP 39713 1745 6 greatly greatly RB 39713 1745 7 changed change VBN 39713 1745 8 ; ; : 39713 1745 9 and and CC 39713 1745 10 yet yet RB 39713 1745 11 , , , 39713 1745 12 those those DT 39713 1745 13 who who WP 39713 1745 14 do do VBP 39713 1745 15 not not RB 39713 1745 16 believe believe VB 39713 1745 17 that that IN 39713 1745 18 natural natural JJ 39713 1745 19 laws law NNS 39713 1745 20 have have VBP 39713 1745 21 to to TO 39713 1745 22 be be VB 39713 1745 23 simple simple JJ 39713 1745 24 , , , 39713 1745 25 are be VBP 39713 1745 26 still still RB 39713 1745 27 often often RB 39713 1745 28 obliged oblige VBN 39713 1745 29 to to TO 39713 1745 30 act act VB 39713 1745 31 as as IN 39713 1745 32 if if IN 39713 1745 33 they -PRON- PRP 39713 1745 34 did do VBD 39713 1745 35 . . . 39713 1746 1 They -PRON- PRP 39713 1746 2 could could MD 39713 1746 3 not not RB 39713 1746 4 entirely entirely RB 39713 1746 5 avoid avoid VB 39713 1746 6 this this DT 39713 1746 7 necessity necessity NN 39713 1746 8 without without IN 39713 1746 9 making make VBG 39713 1746 10 impossible impossible JJ 39713 1746 11 all all DT 39713 1746 12 generalization generalization NN 39713 1746 13 , , , 39713 1746 14 and and CC 39713 1746 15 consequently consequently RB 39713 1746 16 all all DT 39713 1746 17 science science NN 39713 1746 18 . . . 39713 1747 1 It -PRON- PRP 39713 1747 2 is be VBZ 39713 1747 3 clear clear JJ 39713 1747 4 that that IN 39713 1747 5 any any DT 39713 1747 6 fact fact NN 39713 1747 7 can can MD 39713 1747 8 be be VB 39713 1747 9 generalized generalize VBN 39713 1747 10 in in IN 39713 1747 11 an an DT 39713 1747 12 infinity infinity NN 39713 1747 13 of of IN 39713 1747 14 ways way NNS 39713 1747 15 , , , 39713 1747 16 and and CC 39713 1747 17 it -PRON- PRP 39713 1747 18 is be VBZ 39713 1747 19 a a DT 39713 1747 20 question question NN 39713 1747 21 of of IN 39713 1747 22 choice choice NN 39713 1747 23 . . . 39713 1748 1 The the DT 39713 1748 2 choice choice NN 39713 1748 3 can can MD 39713 1748 4 be be VB 39713 1748 5 guided guide VBN 39713 1748 6 only only RB 39713 1748 7 by by IN 39713 1748 8 considerations consideration NNS 39713 1748 9 of of IN 39713 1748 10 simplicity simplicity NN 39713 1748 11 . . . 39713 1749 1 Let let VB 39713 1749 2 us -PRON- PRP 39713 1749 3 take take VB 39713 1749 4 the the DT 39713 1749 5 most most RBS 39713 1749 6 commonplace commonplace JJ 39713 1749 7 case case NN 39713 1749 8 , , , 39713 1749 9 that that DT 39713 1749 10 of of IN 39713 1749 11 interpolation interpolation NN 39713 1749 12 . . . 39713 1750 1 We -PRON- PRP 39713 1750 2 pass pass VBP 39713 1750 3 a a DT 39713 1750 4 continuous continuous JJ 39713 1750 5 line line NN 39713 1750 6 , , , 39713 1750 7 as as RB 39713 1750 8 regular regular JJ 39713 1750 9 as as IN 39713 1750 10 possible possible JJ 39713 1750 11 , , , 39713 1750 12 between between IN 39713 1750 13 the the DT 39713 1750 14 points point NNS 39713 1750 15 given give VBN 39713 1750 16 by by IN 39713 1750 17 observation observation NN 39713 1750 18 . . . 39713 1751 1 Why why WRB 39713 1751 2 do do VBP 39713 1751 3 we -PRON- PRP 39713 1751 4 avoid avoid VB 39713 1751 5 points point NNS 39713 1751 6 making make VBG 39713 1751 7 angles angle NNS 39713 1751 8 and and CC 39713 1751 9 too too RB 39713 1751 10 abrupt abrupt JJ 39713 1751 11 turns turn NNS 39713 1751 12 ? ? . 39713 1752 1 Why why WRB 39713 1752 2 do do VBP 39713 1752 3 we -PRON- PRP 39713 1752 4 not not RB 39713 1752 5 make make VB 39713 1752 6 our -PRON- PRP$ 39713 1752 7 curve curve NN 39713 1752 8 describe describe VB 39713 1752 9 the the DT 39713 1752 10 most most RBS 39713 1752 11 capricious capricious JJ 39713 1752 12 zig zig NN 39713 1752 13 - - HYPH 39713 1752 14 zags zag NNS 39713 1752 15 ? ? . 39713 1753 1 It -PRON- PRP 39713 1753 2 is be VBZ 39713 1753 3 because because IN 39713 1753 4 we -PRON- PRP 39713 1753 5 know know VBP 39713 1753 6 beforehand beforehand RB 39713 1753 7 , , , 39713 1753 8 or or CC 39713 1753 9 believe believe VBP 39713 1753 10 we -PRON- PRP 39713 1753 11 know know VBP 39713 1753 12 , , , 39713 1753 13 that that IN 39713 1753 14 the the DT 39713 1753 15 law law NN 39713 1753 16 to to TO 39713 1753 17 be be VB 39713 1753 18 expressed express VBN 39713 1753 19 can can MD 39713 1753 20 not not RB 39713 1753 21 be be VB 39713 1753 22 so so RB 39713 1753 23 complicated complicated JJ 39713 1753 24 as as IN 39713 1753 25 all all DT 39713 1753 26 that that DT 39713 1753 27 . . . 39713 1754 1 We -PRON- PRP 39713 1754 2 may may MD 39713 1754 3 calculate calculate VB 39713 1754 4 the the DT 39713 1754 5 mass mass NN 39713 1754 6 of of IN 39713 1754 7 Jupiter Jupiter NNP 39713 1754 8 from from IN 39713 1754 9 either either CC 39713 1754 10 the the DT 39713 1754 11 movements movement NNS 39713 1754 12 of of IN 39713 1754 13 its -PRON- PRP$ 39713 1754 14 satellites satellite NNS 39713 1754 15 , , , 39713 1754 16 or or CC 39713 1754 17 the the DT 39713 1754 18 perturbations perturbation NNS 39713 1754 19 of of IN 39713 1754 20 the the DT 39713 1754 21 major major JJ 39713 1754 22 planets planet NNS 39713 1754 23 , , , 39713 1754 24 or or CC 39713 1754 25 those those DT 39713 1754 26 of of IN 39713 1754 27 the the DT 39713 1754 28 minor minor JJ 39713 1754 29 planets planet NNS 39713 1754 30 . . . 39713 1755 1 If if IN 39713 1755 2 we -PRON- PRP 39713 1755 3 take take VBP 39713 1755 4 the the DT 39713 1755 5 averages average NNS 39713 1755 6 of of IN 39713 1755 7 the the DT 39713 1755 8 determinations determination NNS 39713 1755 9 obtained obtain VBN 39713 1755 10 by by IN 39713 1755 11 these these DT 39713 1755 12 three three CD 39713 1755 13 methods method NNS 39713 1755 14 , , , 39713 1755 15 we -PRON- PRP 39713 1755 16 find find VBP 39713 1755 17 three three CD 39713 1755 18 numbers number NNS 39713 1755 19 very very RB 39713 1755 20 close close RB 39713 1755 21 together together RB 39713 1755 22 , , , 39713 1755 23 but but CC 39713 1755 24 different different JJ 39713 1755 25 . . . 39713 1756 1 We -PRON- PRP 39713 1756 2 might may MD 39713 1756 3 interpret interpret VB 39713 1756 4 this this DT 39713 1756 5 result result NN 39713 1756 6 by by IN 39713 1756 7 supposing suppose VBG 39713 1756 8 that that IN 39713 1756 9 the the DT 39713 1756 10 coefficient coefficient NN 39713 1756 11 of of IN 39713 1756 12 gravitation gravitation NN 39713 1756 13 is be VBZ 39713 1756 14 not not RB 39713 1756 15 the the DT 39713 1756 16 same same JJ 39713 1756 17 in in IN 39713 1756 18 the the DT 39713 1756 19 three three CD 39713 1756 20 cases case NNS 39713 1756 21 . . . 39713 1757 1 The the DT 39713 1757 2 observations observation NNS 39713 1757 3 would would MD 39713 1757 4 certainly certainly RB 39713 1757 5 be be VB 39713 1757 6 much much RB 39713 1757 7 better well RBR 39713 1757 8 represented represent VBN 39713 1757 9 . . . 39713 1758 1 Why why WRB 39713 1758 2 do do VBP 39713 1758 3 we -PRON- PRP 39713 1758 4 reject reject VB 39713 1758 5 this this DT 39713 1758 6 interpretation interpretation NN 39713 1758 7 ? ? . 39713 1759 1 Not not RB 39713 1759 2 because because IN 39713 1759 3 it -PRON- PRP 39713 1759 4 is be VBZ 39713 1759 5 absurd absurd JJ 39713 1759 6 , , , 39713 1759 7 but but CC 39713 1759 8 because because IN 39713 1759 9 it -PRON- PRP 39713 1759 10 is be VBZ 39713 1759 11 needlessly needlessly RB 39713 1759 12 complicated complicated JJ 39713 1759 13 . . . 39713 1760 1 We -PRON- PRP 39713 1760 2 shall shall MD 39713 1760 3 only only RB 39713 1760 4 accept accept VB 39713 1760 5 it -PRON- PRP 39713 1760 6 when when WRB 39713 1760 7 we -PRON- PRP 39713 1760 8 are be VBP 39713 1760 9 forced force VBN 39713 1760 10 to to TO 39713 1760 11 , , , 39713 1760 12 and and CC 39713 1760 13 that that DT 39713 1760 14 is be VBZ 39713 1760 15 not not RB 39713 1760 16 yet yet RB 39713 1760 17 . . . 39713 1761 1 To to TO 39713 1761 2 sum sum VB 39713 1761 3 up up RP 39713 1761 4 , , , 39713 1761 5 ordinarily ordinarily RB 39713 1761 6 every every DT 39713 1761 7 law law NN 39713 1761 8 is be VBZ 39713 1761 9 held hold VBN 39713 1761 10 to to TO 39713 1761 11 be be VB 39713 1761 12 simple simple JJ 39713 1761 13 till till IN 39713 1761 14 the the DT 39713 1761 15 contrary contrary NN 39713 1761 16 is be VBZ 39713 1761 17 proved prove VBN 39713 1761 18 . . . 39713 1762 1 This this DT 39713 1762 2 custom custom NN 39713 1762 3 is be VBZ 39713 1762 4 imposed impose VBN 39713 1762 5 upon upon IN 39713 1762 6 physicists physicist NNS 39713 1762 7 by by IN 39713 1762 8 the the DT 39713 1762 9 causes cause NNS 39713 1762 10 that that WDT 39713 1762 11 I -PRON- PRP 39713 1762 12 have have VBP 39713 1762 13 just just RB 39713 1762 14 explained explain VBN 39713 1762 15 . . . 39713 1763 1 But but CC 39713 1763 2 how how WRB 39713 1763 3 shall shall MD 39713 1763 4 we -PRON- PRP 39713 1763 5 justify justify VB 39713 1763 6 it -PRON- PRP 39713 1763 7 in in IN 39713 1763 8 the the DT 39713 1763 9 presence presence NN 39713 1763 10 of of IN 39713 1763 11 discoveries discovery NNS 39713 1763 12 that that WDT 39713 1763 13 show show VBP 39713 1763 14 us -PRON- PRP 39713 1763 15 every every DT 39713 1763 16 day day NN 39713 1763 17 new new JJ 39713 1763 18 details detail NNS 39713 1763 19 that that WDT 39713 1763 20 are be VBP 39713 1763 21 richer rich JJR 39713 1763 22 and and CC 39713 1763 23 more more RBR 39713 1763 24 complex complex JJ 39713 1763 25 ? ? . 39713 1764 1 How how WRB 39713 1764 2 shall shall MD 39713 1764 3 we -PRON- PRP 39713 1764 4 even even RB 39713 1764 5 reconcile reconcile VB 39713 1764 6 it -PRON- PRP 39713 1764 7 with with IN 39713 1764 8 the the DT 39713 1764 9 belief belief NN 39713 1764 10 in in IN 39713 1764 11 the the DT 39713 1764 12 unity unity NN 39713 1764 13 of of IN 39713 1764 14 nature nature NN 39713 1764 15 ? ? . 39713 1765 1 For for IN 39713 1765 2 if if IN 39713 1765 3 everything everything NN 39713 1765 4 depends depend VBZ 39713 1765 5 on on IN 39713 1765 6 everything everything NN 39713 1765 7 , , , 39713 1765 8 relationships relationship NNS 39713 1765 9 where where WRB 39713 1765 10 so so RB 39713 1765 11 many many JJ 39713 1765 12 diverse diverse JJ 39713 1765 13 factors factor NNS 39713 1765 14 enter enter VBP 39713 1765 15 can can MD 39713 1765 16 no no RB 39713 1765 17 longer longer RB 39713 1765 18 be be VB 39713 1765 19 simple simple JJ 39713 1765 20 . . . 39713 1766 1 If if IN 39713 1766 2 we -PRON- PRP 39713 1766 3 study study VBP 39713 1766 4 the the DT 39713 1766 5 history history NN 39713 1766 6 of of IN 39713 1766 7 science science NN 39713 1766 8 , , , 39713 1766 9 we -PRON- PRP 39713 1766 10 see see VBP 39713 1766 11 happen happen VB 39713 1766 12 two two CD 39713 1766 13 inverse inverse NN 39713 1766 14 phenomena phenomenon NNS 39713 1766 15 , , , 39713 1766 16 so so RB 39713 1766 17 to to TO 39713 1766 18 speak speak VB 39713 1766 19 . . . 39713 1767 1 Sometimes sometimes RB 39713 1767 2 simplicity simplicity NN 39713 1767 3 hides hide VBZ 39713 1767 4 under under IN 39713 1767 5 complex complex JJ 39713 1767 6 appearances appearance NNS 39713 1767 7 ; ; : 39713 1767 8 sometimes sometimes RB 39713 1767 9 it -PRON- PRP 39713 1767 10 is be VBZ 39713 1767 11 the the DT 39713 1767 12 simplicity simplicity NN 39713 1767 13 which which WDT 39713 1767 14 is be VBZ 39713 1767 15 apparent apparent JJ 39713 1767 16 , , , 39713 1767 17 and and CC 39713 1767 18 which which WDT 39713 1767 19 disguises disguise VBZ 39713 1767 20 extremely extremely RB 39713 1767 21 complicated complicated JJ 39713 1767 22 realities reality NNS 39713 1767 23 . . . 39713 1768 1 What what WP 39713 1768 2 is be VBZ 39713 1768 3 more more RBR 39713 1768 4 complicated complicated JJ 39713 1768 5 than than IN 39713 1768 6 the the DT 39713 1768 7 confused confused JJ 39713 1768 8 movements movement NNS 39713 1768 9 of of IN 39713 1768 10 the the DT 39713 1768 11 planets planet NNS 39713 1768 12 ? ? . 39713 1769 1 What what WP 39713 1769 2 simpler simple JJR 39713 1769 3 than than IN 39713 1769 4 Newton Newton NNP 39713 1769 5 's 's POS 39713 1769 6 law law NN 39713 1769 7 ? ? . 39713 1770 1 Here here RB 39713 1770 2 nature nature NN 39713 1770 3 , , , 39713 1770 4 making make VBG 39713 1770 5 sport sport NN 39713 1770 6 , , , 39713 1770 7 as as IN 39713 1770 8 Fresnel Fresnel NNP 39713 1770 9 said say VBD 39713 1770 10 , , , 39713 1770 11 of of IN 39713 1770 12 analytical analytical JJ 39713 1770 13 difficulties difficulty NNS 39713 1770 14 , , , 39713 1770 15 employs employ VBZ 39713 1770 16 only only JJ 39713 1770 17 simple simple JJ 39713 1770 18 means mean NNS 39713 1770 19 , , , 39713 1770 20 and and CC 39713 1770 21 by by IN 39713 1770 22 combining combine VBG 39713 1770 23 them -PRON- PRP 39713 1770 24 produces produce VBZ 39713 1770 25 I -PRON- PRP 39713 1770 26 know know VBP 39713 1770 27 not not RB 39713 1770 28 what what WP 39713 1770 29 inextricable inextricable JJ 39713 1770 30 tangle tangle NN 39713 1770 31 . . . 39713 1771 1 Here here RB 39713 1771 2 it -PRON- PRP 39713 1771 3 is be VBZ 39713 1771 4 the the DT 39713 1771 5 hidden hidden JJ 39713 1771 6 simplicity simplicity NN 39713 1771 7 which which WDT 39713 1771 8 must must MD 39713 1771 9 be be VB 39713 1771 10 discovered discover VBN 39713 1771 11 . . . 39713 1772 1 Examples example NNS 39713 1772 2 of of IN 39713 1772 3 the the DT 39713 1772 4 opposite opposite JJ 39713 1772 5 abound abound NN 39713 1772 6 . . . 39713 1773 1 In in IN 39713 1773 2 the the DT 39713 1773 3 kinetic kinetic JJ 39713 1773 4 theory theory NN 39713 1773 5 of of IN 39713 1773 6 gases gas NNS 39713 1773 7 , , , 39713 1773 8 one one CD 39713 1773 9 deals deal VBZ 39713 1773 10 with with IN 39713 1773 11 molecules molecule NNS 39713 1773 12 moving move VBG 39713 1773 13 with with IN 39713 1773 14 great great JJ 39713 1773 15 velocities velocity NNS 39713 1773 16 , , , 39713 1773 17 whose whose WP$ 39713 1773 18 paths path NNS 39713 1773 19 , , , 39713 1773 20 altered alter VBN 39713 1773 21 by by IN 39713 1773 22 incessant incessant JJ 39713 1773 23 collisions collision NNS 39713 1773 24 , , , 39713 1773 25 have have VBP 39713 1773 26 the the DT 39713 1773 27 most most RBS 39713 1773 28 capricious capricious JJ 39713 1773 29 forms form NNS 39713 1773 30 and and CC 39713 1773 31 traverse traverse NN 39713 1773 32 space space NN 39713 1773 33 in in IN 39713 1773 34 every every DT 39713 1773 35 direction direction NN 39713 1773 36 . . . 39713 1774 1 The the DT 39713 1774 2 observable observable JJ 39713 1774 3 result result NN 39713 1774 4 is be VBZ 39713 1774 5 Mariotte Mariotte NNP 39713 1774 6 's 's POS 39713 1774 7 simple simple JJ 39713 1774 8 law law NN 39713 1774 9 . . . 39713 1775 1 Every every DT 39713 1775 2 individual individual JJ 39713 1775 3 fact fact NN 39713 1775 4 was be VBD 39713 1775 5 complicated complicate VBN 39713 1775 6 . . . 39713 1776 1 The the DT 39713 1776 2 law law NN 39713 1776 3 of of IN 39713 1776 4 great great JJ 39713 1776 5 numbers number NNS 39713 1776 6 has have VBZ 39713 1776 7 reestablished reestablish VBN 39713 1776 8 simplicity simplicity NN 39713 1776 9 in in IN 39713 1776 10 the the DT 39713 1776 11 average average NN 39713 1776 12 . . . 39713 1777 1 Here here RB 39713 1777 2 the the DT 39713 1777 3 simplicity simplicity NN 39713 1777 4 is be VBZ 39713 1777 5 merely merely RB 39713 1777 6 apparent apparent JJ 39713 1777 7 , , , 39713 1777 8 and and CC 39713 1777 9 only only RB 39713 1777 10 the the DT 39713 1777 11 coarseness coarseness NN 39713 1777 12 of of IN 39713 1777 13 our -PRON- PRP$ 39713 1777 14 senses sense NNS 39713 1777 15 prevents prevent VBZ 39713 1777 16 our -PRON- PRP$ 39713 1777 17 perceiving perceive VBG 39713 1777 18 the the DT 39713 1777 19 complexity complexity NN 39713 1777 20 . . . 39713 1778 1 Many many JJ 39713 1778 2 phenomena phenomenon NNS 39713 1778 3 obey obey VBP 39713 1778 4 a a DT 39713 1778 5 law law NN 39713 1778 6 of of IN 39713 1778 7 proportionality proportionality NN 39713 1778 8 . . . 39713 1779 1 But but CC 39713 1779 2 why why WRB 39713 1779 3 ? ? . 39713 1780 1 Because because IN 39713 1780 2 in in IN 39713 1780 3 these these DT 39713 1780 4 phenomena phenomenon NNS 39713 1780 5 there there EX 39713 1780 6 is be VBZ 39713 1780 7 something something NN 39713 1780 8 very very RB 39713 1780 9 small small JJ 39713 1780 10 . . . 39713 1781 1 The the DT 39713 1781 2 simple simple JJ 39713 1781 3 law law NN 39713 1781 4 observed observe VBD 39713 1781 5 , , , 39713 1781 6 then then RB 39713 1781 7 , , , 39713 1781 8 is be VBZ 39713 1781 9 only only RB 39713 1781 10 a a DT 39713 1781 11 result result NN 39713 1781 12 of of IN 39713 1781 13 the the DT 39713 1781 14 general general JJ 39713 1781 15 analytical analytical JJ 39713 1781 16 rule rule NN 39713 1781 17 that that IN 39713 1781 18 the the DT 39713 1781 19 infinitely infinitely RB 39713 1781 20 small small JJ 39713 1781 21 increment increment NN 39713 1781 22 of of IN 39713 1781 23 a a DT 39713 1781 24 function function NN 39713 1781 25 is be VBZ 39713 1781 26 proportional proportional JJ 39713 1781 27 to to IN 39713 1781 28 the the DT 39713 1781 29 increment increment NN 39713 1781 30 of of IN 39713 1781 31 the the DT 39713 1781 32 variable variable NN 39713 1781 33 . . . 39713 1782 1 As as IN 39713 1782 2 in in IN 39713 1782 3 reality reality NN 39713 1782 4 our -PRON- PRP$ 39713 1782 5 increments increment NNS 39713 1782 6 are be VBP 39713 1782 7 not not RB 39713 1782 8 infinitely infinitely RB 39713 1782 9 small small JJ 39713 1782 10 , , , 39713 1782 11 but but CC 39713 1782 12 very very RB 39713 1782 13 small small JJ 39713 1782 14 , , , 39713 1782 15 the the DT 39713 1782 16 law law NN 39713 1782 17 of of IN 39713 1782 18 proportionality proportionality NN 39713 1782 19 is be VBZ 39713 1782 20 only only RB 39713 1782 21 approximate approximate JJ 39713 1782 22 , , , 39713 1782 23 and and CC 39713 1782 24 the the DT 39713 1782 25 simplicity simplicity NN 39713 1782 26 is be VBZ 39713 1782 27 only only RB 39713 1782 28 apparent apparent JJ 39713 1782 29 . . . 39713 1783 1 What what WP 39713 1783 2 I -PRON- PRP 39713 1783 3 have have VBP 39713 1783 4 just just RB 39713 1783 5 said say VBN 39713 1783 6 applies apply VBZ 39713 1783 7 to to IN 39713 1783 8 the the DT 39713 1783 9 rule rule NN 39713 1783 10 of of IN 39713 1783 11 the the DT 39713 1783 12 superposition superposition NN 39713 1783 13 of of IN 39713 1783 14 small small JJ 39713 1783 15 motions motion NNS 39713 1783 16 , , , 39713 1783 17 the the DT 39713 1783 18 use use NN 39713 1783 19 of of IN 39713 1783 20 which which WDT 39713 1783 21 is be VBZ 39713 1783 22 so so RB 39713 1783 23 fruitful fruitful JJ 39713 1783 24 , , , 39713 1783 25 and and CC 39713 1783 26 which which WDT 39713 1783 27 is be VBZ 39713 1783 28 the the DT 39713 1783 29 basis basis NN 39713 1783 30 of of IN 39713 1783 31 optics optic NNS 39713 1783 32 . . . 39713 1784 1 And and CC 39713 1784 2 Newton Newton NNP 39713 1784 3 's 's POS 39713 1784 4 law law NN 39713 1784 5 itself -PRON- PRP 39713 1784 6 ? ? . 39713 1785 1 Its -PRON- PRP$ 39713 1785 2 simplicity simplicity NN 39713 1785 3 , , , 39713 1785 4 so so RB 39713 1785 5 long long RB 39713 1785 6 undetected undetected JJ 39713 1785 7 , , , 39713 1785 8 is be VBZ 39713 1785 9 perhaps perhaps RB 39713 1785 10 only only RB 39713 1785 11 apparent apparent JJ 39713 1785 12 . . . 39713 1786 1 Who who WP 39713 1786 2 knows know VBZ 39713 1786 3 whether whether IN 39713 1786 4 it -PRON- PRP 39713 1786 5 is be VBZ 39713 1786 6 not not RB 39713 1786 7 due due JJ 39713 1786 8 to to IN 39713 1786 9 some some DT 39713 1786 10 complicated complicated JJ 39713 1786 11 mechanism mechanism NN 39713 1786 12 , , , 39713 1786 13 to to IN 39713 1786 14 the the DT 39713 1786 15 impact impact NN 39713 1786 16 of of IN 39713 1786 17 some some DT 39713 1786 18 subtile subtile NN 39713 1786 19 matter matter NN 39713 1786 20 animated animate VBN 39713 1786 21 by by IN 39713 1786 22 irregular irregular JJ 39713 1786 23 movements movement NNS 39713 1786 24 , , , 39713 1786 25 and and CC 39713 1786 26 whether whether IN 39713 1786 27 it -PRON- PRP 39713 1786 28 has have VBZ 39713 1786 29 not not RB 39713 1786 30 become become VBN 39713 1786 31 simple simple JJ 39713 1786 32 only only RB 39713 1786 33 through through IN 39713 1786 34 the the DT 39713 1786 35 action action NN 39713 1786 36 of of IN 39713 1786 37 averages average NNS 39713 1786 38 and and CC 39713 1786 39 of of IN 39713 1786 40 great great JJ 39713 1786 41 numbers number NNS 39713 1786 42 ? ? . 39713 1787 1 In in IN 39713 1787 2 any any DT 39713 1787 3 case case NN 39713 1787 4 , , , 39713 1787 5 it -PRON- PRP 39713 1787 6 is be VBZ 39713 1787 7 difficult difficult JJ 39713 1787 8 not not RB 39713 1787 9 to to TO 39713 1787 10 suppose suppose VB 39713 1787 11 that that IN 39713 1787 12 the the DT 39713 1787 13 true true JJ 39713 1787 14 law law NN 39713 1787 15 contains contain VBZ 39713 1787 16 complementary complementary JJ 39713 1787 17 terms term NNS 39713 1787 18 , , , 39713 1787 19 which which WDT 39713 1787 20 would would MD 39713 1787 21 become become VB 39713 1787 22 sensible sensible JJ 39713 1787 23 at at IN 39713 1787 24 small small JJ 39713 1787 25 distances distance NNS 39713 1787 26 . . . 39713 1788 1 If if IN 39713 1788 2 in in IN 39713 1788 3 astronomy astronomy NN 39713 1788 4 they -PRON- PRP 39713 1788 5 are be VBP 39713 1788 6 negligible negligible JJ 39713 1788 7 as as IN 39713 1788 8 modifying modify VBG 39713 1788 9 Newton Newton NNP 39713 1788 10 's 's POS 39713 1788 11 law law NN 39713 1788 12 , , , 39713 1788 13 and and CC 39713 1788 14 if if IN 39713 1788 15 the the DT 39713 1788 16 law law NN 39713 1788 17 thus thus RB 39713 1788 18 regains regain VBZ 39713 1788 19 its -PRON- PRP$ 39713 1788 20 simplicity simplicity NN 39713 1788 21 , , , 39713 1788 22 it -PRON- PRP 39713 1788 23 would would MD 39713 1788 24 be be VB 39713 1788 25 only only RB 39713 1788 26 because because IN 39713 1788 27 of of IN 39713 1788 28 the the DT 39713 1788 29 immensity immensity NN 39713 1788 30 of of IN 39713 1788 31 celestial celestial JJ 39713 1788 32 distances distance NNS 39713 1788 33 . . . 39713 1789 1 No no RB 39713 1789 2 doubt doubt RB 39713 1789 3 , , , 39713 1789 4 if if IN 39713 1789 5 our -PRON- PRP$ 39713 1789 6 means mean NNS 39713 1789 7 of of IN 39713 1789 8 investigation investigation NN 39713 1789 9 should should MD 39713 1789 10 become become VB 39713 1789 11 more more RBR 39713 1789 12 and and CC 39713 1789 13 more more JJR 39713 1789 14 penetrating penetrating NN 39713 1789 15 , , , 39713 1789 16 we -PRON- PRP 39713 1789 17 should should MD 39713 1789 18 discover discover VB 39713 1789 19 the the DT 39713 1789 20 simple simple NN 39713 1789 21 under under IN 39713 1789 22 the the DT 39713 1789 23 complex complex NN 39713 1789 24 , , , 39713 1789 25 then then RB 39713 1789 26 the the DT 39713 1789 27 complex complex NN 39713 1789 28 under under IN 39713 1789 29 the the DT 39713 1789 30 simple simple NN 39713 1789 31 , , , 39713 1789 32 then then RB 39713 1789 33 again again RB 39713 1789 34 the the DT 39713 1789 35 simple simple NN 39713 1789 36 under under IN 39713 1789 37 the the DT 39713 1789 38 complex complex NN 39713 1789 39 , , , 39713 1789 40 and and CC 39713 1789 41 so so RB 39713 1789 42 on on RB 39713 1789 43 , , , 39713 1789 44 without without IN 39713 1789 45 our -PRON- PRP$ 39713 1789 46 being be VBG 39713 1789 47 able able JJ 39713 1789 48 to to TO 39713 1789 49 foresee foresee VB 39713 1789 50 what what WP 39713 1789 51 will will MD 39713 1789 52 be be VB 39713 1789 53 the the DT 39713 1789 54 last last JJ 39713 1789 55 term term NN 39713 1789 56 . . . 39713 1790 1 We -PRON- PRP 39713 1790 2 must must MD 39713 1790 3 stop stop VB 39713 1790 4 somewhere somewhere RB 39713 1790 5 , , , 39713 1790 6 and and CC 39713 1790 7 that that IN 39713 1790 8 science science NN 39713 1790 9 may may MD 39713 1790 10 be be VB 39713 1790 11 possible possible JJ 39713 1790 12 we -PRON- PRP 39713 1790 13 must must MD 39713 1790 14 stop stop VB 39713 1790 15 when when WRB 39713 1790 16 we -PRON- PRP 39713 1790 17 have have VBP 39713 1790 18 found find VBN 39713 1790 19 simplicity simplicity NN 39713 1790 20 . . . 39713 1791 1 This this DT 39713 1791 2 is be VBZ 39713 1791 3 the the DT 39713 1791 4 only only JJ 39713 1791 5 ground ground NN 39713 1791 6 on on IN 39713 1791 7 which which WDT 39713 1791 8 we -PRON- PRP 39713 1791 9 can can MD 39713 1791 10 rear rear VB 39713 1791 11 the the DT 39713 1791 12 edifice edifice NN 39713 1791 13 of of IN 39713 1791 14 our -PRON- PRP$ 39713 1791 15 generalizations generalization NNS 39713 1791 16 . . . 39713 1792 1 But but CC 39713 1792 2 this this DT 39713 1792 3 simplicity simplicity NN 39713 1792 4 being be VBG 39713 1792 5 only only RB 39713 1792 6 apparent apparent JJ 39713 1792 7 , , , 39713 1792 8 will will MD 39713 1792 9 the the DT 39713 1792 10 ground ground NN 39713 1792 11 be be VB 39713 1792 12 firm firm JJ 39713 1792 13 enough enough RB 39713 1792 14 ? ? . 39713 1793 1 This this DT 39713 1793 2 is be VBZ 39713 1793 3 what what WP 39713 1793 4 must must MD 39713 1793 5 be be VB 39713 1793 6 investigated investigate VBN 39713 1793 7 . . . 39713 1794 1 For for IN 39713 1794 2 that that DT 39713 1794 3 purpose purpose NN 39713 1794 4 , , , 39713 1794 5 let let VB 39713 1794 6 us -PRON- PRP 39713 1794 7 see see VB 39713 1794 8 what what WP 39713 1794 9 part part NN 39713 1794 10 is be VBZ 39713 1794 11 played play VBN 39713 1794 12 in in IN 39713 1794 13 our -PRON- PRP$ 39713 1794 14 generalizations generalization NNS 39713 1794 15 by by IN 39713 1794 16 the the DT 39713 1794 17 belief belief NN 39713 1794 18 in in IN 39713 1794 19 simplicity simplicity NN 39713 1794 20 . . . 39713 1795 1 We -PRON- PRP 39713 1795 2 have have VBP 39713 1795 3 verified verify VBN 39713 1795 4 a a DT 39713 1795 5 simple simple JJ 39713 1795 6 law law NN 39713 1795 7 in in IN 39713 1795 8 a a DT 39713 1795 9 good good JJ 39713 1795 10 many many JJ 39713 1795 11 particular particular JJ 39713 1795 12 cases case NNS 39713 1795 13 ; ; : 39713 1795 14 we -PRON- PRP 39713 1795 15 refuse refuse VBP 39713 1795 16 to to TO 39713 1795 17 admit admit VB 39713 1795 18 that that IN 39713 1795 19 this this DT 39713 1795 20 agreement agreement NN 39713 1795 21 , , , 39713 1795 22 so so RB 39713 1795 23 often often RB 39713 1795 24 repeated repeat VBN 39713 1795 25 , , , 39713 1795 26 is be VBZ 39713 1795 27 simply simply RB 39713 1795 28 the the DT 39713 1795 29 result result NN 39713 1795 30 of of IN 39713 1795 31 chance chance NN 39713 1795 32 , , , 39713 1795 33 and and CC 39713 1795 34 conclude conclude VB 39713 1795 35 that that IN 39713 1795 36 the the DT 39713 1795 37 law law NN 39713 1795 38 must must MD 39713 1795 39 be be VB 39713 1795 40 true true JJ 39713 1795 41 in in IN 39713 1795 42 the the DT 39713 1795 43 general general JJ 39713 1795 44 case case NN 39713 1795 45 . . . 39713 1796 1 Kepler kepler NN 39713 1796 2 notices notice VBZ 39713 1796 3 that that IN 39713 1796 4 a a DT 39713 1796 5 planet planet NN 39713 1796 6 's 's POS 39713 1796 7 positions position NNS 39713 1796 8 , , , 39713 1796 9 as as IN 39713 1796 10 observed observe VBN 39713 1796 11 by by IN 39713 1796 12 Tycho Tycho NNP 39713 1796 13 , , , 39713 1796 14 are be VBP 39713 1796 15 all all RB 39713 1796 16 on on IN 39713 1796 17 one one CD 39713 1796 18 ellipse ellipse NN 39713 1796 19 . . . 39713 1797 1 Never never RB 39713 1797 2 for for IN 39713 1797 3 a a DT 39713 1797 4 moment moment NN 39713 1797 5 does do VBZ 39713 1797 6 he -PRON- PRP 39713 1797 7 have have VB 39713 1797 8 the the DT 39713 1797 9 thought thought NN 39713 1797 10 that that IN 39713 1797 11 by by IN 39713 1797 12 a a DT 39713 1797 13 strange strange JJ 39713 1797 14 play play NN 39713 1797 15 of of IN 39713 1797 16 chance chance NN 39713 1797 17 Tycho Tycho NNP 39713 1797 18 never never RB 39713 1797 19 observed observe VBD 39713 1797 20 the the DT 39713 1797 21 heavens heavens NNPS 39713 1797 22 except except IN 39713 1797 23 at at IN 39713 1797 24 a a DT 39713 1797 25 moment moment NN 39713 1797 26 when when WRB 39713 1797 27 the the DT 39713 1797 28 real real JJ 39713 1797 29 orbit orbit NN 39713 1797 30 of of IN 39713 1797 31 the the DT 39713 1797 32 planet planet NN 39713 1797 33 happened happen VBD 39713 1797 34 to to TO 39713 1797 35 cut cut VB 39713 1797 36 this this DT 39713 1797 37 ellipse ellipse NN 39713 1797 38 . . . 39713 1798 1 What what WP 39713 1798 2 does do VBZ 39713 1798 3 it -PRON- PRP 39713 1798 4 matter matter VB 39713 1798 5 then then RB 39713 1798 6 whether whether IN 39713 1798 7 the the DT 39713 1798 8 simplicity simplicity NN 39713 1798 9 be be VBP 39713 1798 10 real real JJ 39713 1798 11 , , , 39713 1798 12 or or CC 39713 1798 13 whether whether IN 39713 1798 14 it -PRON- PRP 39713 1798 15 covers cover VBZ 39713 1798 16 a a DT 39713 1798 17 complex complex JJ 39713 1798 18 reality reality NN 39713 1798 19 ? ? . 39713 1799 1 Whether whether IN 39713 1799 2 it -PRON- PRP 39713 1799 3 is be VBZ 39713 1799 4 due due JJ 39713 1799 5 to to IN 39713 1799 6 the the DT 39713 1799 7 influence influence NN 39713 1799 8 of of IN 39713 1799 9 great great JJ 39713 1799 10 numbers number NNS 39713 1799 11 , , , 39713 1799 12 which which WDT 39713 1799 13 levels level VBZ 39713 1799 14 down down RP 39713 1799 15 individual individual JJ 39713 1799 16 differences difference NNS 39713 1799 17 , , , 39713 1799 18 or or CC 39713 1799 19 to to IN 39713 1799 20 the the DT 39713 1799 21 greatness greatness NN 39713 1799 22 or or CC 39713 1799 23 smallness smallness JJ 39713 1799 24 of of IN 39713 1799 25 certain certain JJ 39713 1799 26 quantities quantity NNS 39713 1799 27 , , , 39713 1799 28 which which WDT 39713 1799 29 allows allow VBZ 39713 1799 30 us -PRON- PRP 39713 1799 31 to to TO 39713 1799 32 neglect neglect VB 39713 1799 33 certain certain JJ 39713 1799 34 terms term NNS 39713 1799 35 , , , 39713 1799 36 in in IN 39713 1799 37 no no DT 39713 1799 38 case case NN 39713 1799 39 is be VBZ 39713 1799 40 it -PRON- PRP 39713 1799 41 due due JJ 39713 1799 42 to to IN 39713 1799 43 chance chance NN 39713 1799 44 . . . 39713 1800 1 This this DT 39713 1800 2 simplicity simplicity NN 39713 1800 3 , , , 39713 1800 4 real real JJ 39713 1800 5 or or CC 39713 1800 6 apparent apparent JJ 39713 1800 7 , , , 39713 1800 8 always always RB 39713 1800 9 has have VBZ 39713 1800 10 a a DT 39713 1800 11 cause cause NN 39713 1800 12 . . . 39713 1801 1 We -PRON- PRP 39713 1801 2 can can MD 39713 1801 3 always always RB 39713 1801 4 follow follow VB 39713 1801 5 , , , 39713 1801 6 then then RB 39713 1801 7 , , , 39713 1801 8 the the DT 39713 1801 9 same same JJ 39713 1801 10 course course NN 39713 1801 11 of of IN 39713 1801 12 reasoning reasoning NN 39713 1801 13 , , , 39713 1801 14 and and CC 39713 1801 15 if if IN 39713 1801 16 a a DT 39713 1801 17 simple simple JJ 39713 1801 18 law law NN 39713 1801 19 has have VBZ 39713 1801 20 been be VBN 39713 1801 21 observed observe VBN 39713 1801 22 in in IN 39713 1801 23 several several JJ 39713 1801 24 particular particular JJ 39713 1801 25 cases case NNS 39713 1801 26 , , , 39713 1801 27 we -PRON- PRP 39713 1801 28 can can MD 39713 1801 29 legitimately legitimately RB 39713 1801 30 suppose suppose VB 39713 1801 31 that that IN 39713 1801 32 it -PRON- PRP 39713 1801 33 will will MD 39713 1801 34 still still RB 39713 1801 35 be be VB 39713 1801 36 true true JJ 39713 1801 37 in in IN 39713 1801 38 analogous analogous JJ 39713 1801 39 cases case NNS 39713 1801 40 . . . 39713 1802 1 To to TO 39713 1802 2 refuse refuse VB 39713 1802 3 to to TO 39713 1802 4 do do VB 39713 1802 5 this this DT 39713 1802 6 would would MD 39713 1802 7 be be VB 39713 1802 8 to to TO 39713 1802 9 attribute attribute VB 39713 1802 10 to to TO 39713 1802 11 chance chance VB 39713 1802 12 an an DT 39713 1802 13 inadmissible inadmissible JJ 39713 1802 14 rôle rôle NN 39713 1802 15 . . . 39713 1803 1 There there EX 39713 1803 2 is be VBZ 39713 1803 3 , , , 39713 1803 4 however however RB 39713 1803 5 , , , 39713 1803 6 a a DT 39713 1803 7 difference difference NN 39713 1803 8 . . . 39713 1804 1 If if IN 39713 1804 2 the the DT 39713 1804 3 simplicity simplicity NN 39713 1804 4 were be VBD 39713 1804 5 real real JJ 39713 1804 6 and and CC 39713 1804 7 essential essential JJ 39713 1804 8 , , , 39713 1804 9 it -PRON- PRP 39713 1804 10 would would MD 39713 1804 11 resist resist VB 39713 1804 12 the the DT 39713 1804 13 increasing increase VBG 39713 1804 14 precision precision NN 39713 1804 15 of of IN 39713 1804 16 our -PRON- PRP$ 39713 1804 17 means mean NNS 39713 1804 18 of of IN 39713 1804 19 measure measure NN 39713 1804 20 . . . 39713 1805 1 If if IN 39713 1805 2 then then RB 39713 1805 3 we -PRON- PRP 39713 1805 4 believe believe VBP 39713 1805 5 nature nature NN 39713 1805 6 to to TO 39713 1805 7 be be VB 39713 1805 8 essentially essentially RB 39713 1805 9 simple simple JJ 39713 1805 10 , , , 39713 1805 11 we -PRON- PRP 39713 1805 12 must must MD 39713 1805 13 , , , 39713 1805 14 from from IN 39713 1805 15 a a DT 39713 1805 16 simplicity simplicity NN 39713 1805 17 that that WDT 39713 1805 18 is be VBZ 39713 1805 19 approximate approximate JJ 39713 1805 20 , , , 39713 1805 21 infer infer VB 39713 1805 22 a a DT 39713 1805 23 simplicity simplicity NN 39713 1805 24 that that WDT 39713 1805 25 is be VBZ 39713 1805 26 rigorous rigorous JJ 39713 1805 27 . . . 39713 1806 1 This this DT 39713 1806 2 is be VBZ 39713 1806 3 what what WP 39713 1806 4 was be VBD 39713 1806 5 done do VBN 39713 1806 6 formerly formerly RB 39713 1806 7 ; ; : 39713 1806 8 and and CC 39713 1806 9 this this DT 39713 1806 10 is be VBZ 39713 1806 11 what what WP 39713 1806 12 we -PRON- PRP 39713 1806 13 no no RB 39713 1806 14 longer longer RB 39713 1806 15 have have VBP 39713 1806 16 a a DT 39713 1806 17 right right NN 39713 1806 18 to to TO 39713 1806 19 do do VB 39713 1806 20 . . . 39713 1807 1 The the DT 39713 1807 2 simplicity simplicity NN 39713 1807 3 of of IN 39713 1807 4 Kepler Kepler NNP 39713 1807 5 's 's POS 39713 1807 6 laws law NNS 39713 1807 7 , , , 39713 1807 8 for for IN 39713 1807 9 example example NN 39713 1807 10 , , , 39713 1807 11 is be VBZ 39713 1807 12 only only RB 39713 1807 13 apparent apparent JJ 39713 1807 14 . . . 39713 1808 1 That that DT 39713 1808 2 does do VBZ 39713 1808 3 not not RB 39713 1808 4 prevent prevent VB 39713 1808 5 their -PRON- PRP$ 39713 1808 6 being be VBG 39713 1808 7 applicable applicable JJ 39713 1808 8 , , , 39713 1808 9 very very RB 39713 1808 10 nearly nearly RB 39713 1808 11 , , , 39713 1808 12 to to IN 39713 1808 13 all all DT 39713 1808 14 systems system NNS 39713 1808 15 analogous analogous JJ 39713 1808 16 to to IN 39713 1808 17 the the DT 39713 1808 18 solar solar JJ 39713 1808 19 system system NN 39713 1808 20 ; ; : 39713 1808 21 but but CC 39713 1808 22 it -PRON- PRP 39713 1808 23 does do VBZ 39713 1808 24 prevent prevent VB 39713 1808 25 their -PRON- PRP$ 39713 1808 26 being be VBG 39713 1808 27 rigorously rigorously RB 39713 1808 28 exact exact JJ 39713 1808 29 . . . 39713 1809 1 THE the DT 39713 1809 2 RÔLE RÔLE NNP 39713 1809 3 OF of IN 39713 1809 4 HYPOTHESIS.--All HYPOTHESIS.--All NNP 39713 1809 5 generalization generalization NN 39713 1809 6 is be VBZ 39713 1809 7 a a DT 39713 1809 8 hypothesis hypothesis NN 39713 1809 9 . . . 39713 1810 1 Hypothesis hypothesis NN 39713 1810 2 , , , 39713 1810 3 then then RB 39713 1810 4 , , , 39713 1810 5 has have VBZ 39713 1810 6 a a DT 39713 1810 7 necessary necessary JJ 39713 1810 8 rôle rôle NN 39713 1810 9 that that IN 39713 1810 10 no no DT 39713 1810 11 one one NN 39713 1810 12 has have VBZ 39713 1810 13 ever ever RB 39713 1810 14 contested contest VBN 39713 1810 15 . . . 39713 1811 1 Only only RB 39713 1811 2 , , , 39713 1811 3 it -PRON- PRP 39713 1811 4 ought ought MD 39713 1811 5 always always RB 39713 1811 6 , , , 39713 1811 7 as as RB 39713 1811 8 soon soon RB 39713 1811 9 as as IN 39713 1811 10 possible possible JJ 39713 1811 11 and and CC 39713 1811 12 as as RB 39713 1811 13 often often RB 39713 1811 14 as as IN 39713 1811 15 possible possible JJ 39713 1811 16 , , , 39713 1811 17 to to TO 39713 1811 18 be be VB 39713 1811 19 subjected subject VBN 39713 1811 20 to to IN 39713 1811 21 verification verification NN 39713 1811 22 . . . 39713 1812 1 And and CC 39713 1812 2 , , , 39713 1812 3 of of IN 39713 1812 4 course course NN 39713 1812 5 , , , 39713 1812 6 if if IN 39713 1812 7 it -PRON- PRP 39713 1812 8 does do VBZ 39713 1812 9 not not RB 39713 1812 10 stand stand VB 39713 1812 11 this this DT 39713 1812 12 test test NN 39713 1812 13 , , , 39713 1812 14 it -PRON- PRP 39713 1812 15 ought ought MD 39713 1812 16 to to TO 39713 1812 17 be be VB 39713 1812 18 abandoned abandon VBN 39713 1812 19 without without IN 39713 1812 20 reserve reserve NN 39713 1812 21 . . . 39713 1813 1 This this DT 39713 1813 2 is be VBZ 39713 1813 3 what what WP 39713 1813 4 we -PRON- PRP 39713 1813 5 generally generally RB 39713 1813 6 do do VBP 39713 1813 7 , , , 39713 1813 8 but but CC 39713 1813 9 sometimes sometimes RB 39713 1813 10 with with IN 39713 1813 11 rather rather RB 39713 1813 12 an an DT 39713 1813 13 ill ill JJ 39713 1813 14 humor humor NN 39713 1813 15 . . . 39713 1814 1 Well well UH 39713 1814 2 , , , 39713 1814 3 even even RB 39713 1814 4 this this DT 39713 1814 5 ill ill JJ 39713 1814 6 humor humor NN 39713 1814 7 is be VBZ 39713 1814 8 not not RB 39713 1814 9 justified justify VBN 39713 1814 10 . . . 39713 1815 1 The the DT 39713 1815 2 physicist physicist NN 39713 1815 3 who who WP 39713 1815 4 has have VBZ 39713 1815 5 just just RB 39713 1815 6 renounced renounce VBN 39713 1815 7 one one CD 39713 1815 8 of of IN 39713 1815 9 his -PRON- PRP$ 39713 1815 10 hypotheses hypothesis NNS 39713 1815 11 ought ought MD 39713 1815 12 , , , 39713 1815 13 on on IN 39713 1815 14 the the DT 39713 1815 15 contrary contrary NN 39713 1815 16 , , , 39713 1815 17 to to TO 39713 1815 18 be be VB 39713 1815 19 full full JJ 39713 1815 20 of of IN 39713 1815 21 joy joy NN 39713 1815 22 ; ; : 39713 1815 23 for for IN 39713 1815 24 he -PRON- PRP 39713 1815 25 has have VBZ 39713 1815 26 found find VBN 39713 1815 27 an an DT 39713 1815 28 unexpected unexpected JJ 39713 1815 29 opportunity opportunity NN 39713 1815 30 for for IN 39713 1815 31 discovery discovery NN 39713 1815 32 . . . 39713 1816 1 His -PRON- PRP$ 39713 1816 2 hypothesis hypothesis NN 39713 1816 3 , , , 39713 1816 4 I -PRON- PRP 39713 1816 5 imagine imagine VBP 39713 1816 6 , , , 39713 1816 7 had have VBD 39713 1816 8 not not RB 39713 1816 9 been be VBN 39713 1816 10 adopted adopt VBN 39713 1816 11 without without IN 39713 1816 12 consideration consideration NN 39713 1816 13 ; ; : 39713 1816 14 it -PRON- PRP 39713 1816 15 took take VBD 39713 1816 16 account account NN 39713 1816 17 of of IN 39713 1816 18 all all PDT 39713 1816 19 the the DT 39713 1816 20 known know VBN 39713 1816 21 factors factor NNS 39713 1816 22 that that WDT 39713 1816 23 it -PRON- PRP 39713 1816 24 seemed seem VBD 39713 1816 25 could could MD 39713 1816 26 enter enter VB 39713 1816 27 into into IN 39713 1816 28 the the DT 39713 1816 29 phenomenon phenomenon NN 39713 1816 30 . . . 39713 1817 1 If if IN 39713 1817 2 the the DT 39713 1817 3 test test NN 39713 1817 4 does do VBZ 39713 1817 5 not not RB 39713 1817 6 support support VB 39713 1817 7 it -PRON- PRP 39713 1817 8 , , , 39713 1817 9 it -PRON- PRP 39713 1817 10 is be VBZ 39713 1817 11 because because IN 39713 1817 12 there there EX 39713 1817 13 is be VBZ 39713 1817 14 something something NN 39713 1817 15 unexpected unexpected JJ 39713 1817 16 and and CC 39713 1817 17 extraordinary extraordinary JJ 39713 1817 18 ; ; : 39713 1817 19 and and CC 39713 1817 20 because because IN 39713 1817 21 there there EX 39713 1817 22 is be VBZ 39713 1817 23 going go VBG 39713 1817 24 to to TO 39713 1817 25 be be VB 39713 1817 26 something something NN 39713 1817 27 found find VBN 39713 1817 28 that that WDT 39713 1817 29 is be VBZ 39713 1817 30 unknown unknown JJ 39713 1817 31 and and CC 39713 1817 32 new new JJ 39713 1817 33 . . . 39713 1818 1 Has have VBZ 39713 1818 2 the the DT 39713 1818 3 discarded discard VBN 39713 1818 4 hypothesis hypothesis NN 39713 1818 5 , , , 39713 1818 6 then then RB 39713 1818 7 , , , 39713 1818 8 been be VBN 39713 1818 9 barren barren JJ 39713 1818 10 ? ? . 39713 1819 1 Far far RB 39713 1819 2 from from IN 39713 1819 3 that that DT 39713 1819 4 , , , 39713 1819 5 it -PRON- PRP 39713 1819 6 may may MD 39713 1819 7 be be VB 39713 1819 8 said say VBN 39713 1819 9 it -PRON- PRP 39713 1819 10 has have VBZ 39713 1819 11 rendered render VBN 39713 1819 12 more more JJR 39713 1819 13 service service NN 39713 1819 14 than than IN 39713 1819 15 a a DT 39713 1819 16 true true JJ 39713 1819 17 hypothesis hypothesis NN 39713 1819 18 . . . 39713 1820 1 Not not RB 39713 1820 2 only only RB 39713 1820 3 has have VBZ 39713 1820 4 it -PRON- PRP 39713 1820 5 been be VBN 39713 1820 6 the the DT 39713 1820 7 occasion occasion NN 39713 1820 8 of of IN 39713 1820 9 the the DT 39713 1820 10 decisive decisive JJ 39713 1820 11 experiment experiment NN 39713 1820 12 , , , 39713 1820 13 but but CC 39713 1820 14 , , , 39713 1820 15 without without IN 39713 1820 16 having have VBG 39713 1820 17 made make VBN 39713 1820 18 the the DT 39713 1820 19 hypothesis hypothesis NN 39713 1820 20 , , , 39713 1820 21 the the DT 39713 1820 22 experiment experiment NN 39713 1820 23 would would MD 39713 1820 24 have have VB 39713 1820 25 been be VBN 39713 1820 26 made make VBN 39713 1820 27 by by IN 39713 1820 28 chance chance NN 39713 1820 29 , , , 39713 1820 30 so so IN 39713 1820 31 that that IN 39713 1820 32 nothing nothing NN 39713 1820 33 would would MD 39713 1820 34 have have VB 39713 1820 35 been be VBN 39713 1820 36 derived derive VBN 39713 1820 37 from from IN 39713 1820 38 it -PRON- PRP 39713 1820 39 . . . 39713 1821 1 One one PRP 39713 1821 2 would would MD 39713 1821 3 have have VB 39713 1821 4 seen see VBN 39713 1821 5 nothing nothing NN 39713 1821 6 extraordinary extraordinary JJ 39713 1821 7 ; ; : 39713 1821 8 only only RB 39713 1821 9 one one CD 39713 1821 10 fact fact NN 39713 1821 11 the the DT 39713 1821 12 more more RBR 39713 1821 13 would would MD 39713 1821 14 have have VB 39713 1821 15 been be VBN 39713 1821 16 catalogued catalogue VBN 39713 1821 17 without without IN 39713 1821 18 deducing deduce VBG 39713 1821 19 from from IN 39713 1821 20 it -PRON- PRP 39713 1821 21 the the DT 39713 1821 22 least least JJS 39713 1821 23 consequence consequence NN 39713 1821 24 . . . 39713 1822 1 Now now RB 39713 1822 2 on on IN 39713 1822 3 what what WDT 39713 1822 4 condition condition NN 39713 1822 5 is be VBZ 39713 1822 6 the the DT 39713 1822 7 use use NN 39713 1822 8 of of IN 39713 1822 9 hypothesis hypothesis NN 39713 1822 10 without without IN 39713 1822 11 danger danger NN 39713 1822 12 ? ? . 39713 1823 1 The the DT 39713 1823 2 firm firm JJ 39713 1823 3 determination determination NN 39713 1823 4 to to TO 39713 1823 5 submit submit VB 39713 1823 6 to to IN 39713 1823 7 experiment experiment NN 39713 1823 8 is be VBZ 39713 1823 9 not not RB 39713 1823 10 enough enough JJ 39713 1823 11 ; ; : 39713 1823 12 there there EX 39713 1823 13 are be VBP 39713 1823 14 still still RB 39713 1823 15 dangerous dangerous JJ 39713 1823 16 hypotheses hypothesis NNS 39713 1823 17 ; ; : 39713 1823 18 first first RB 39713 1823 19 , , , 39713 1823 20 and and CC 39713 1823 21 above above IN 39713 1823 22 all all DT 39713 1823 23 , , , 39713 1823 24 those those DT 39713 1823 25 which which WDT 39713 1823 26 are be VBP 39713 1823 27 tacit tacit JJ 39713 1823 28 and and CC 39713 1823 29 unconscious unconscious JJ 39713 1823 30 . . . 39713 1824 1 Since since IN 39713 1824 2 we -PRON- PRP 39713 1824 3 make make VBP 39713 1824 4 them -PRON- PRP 39713 1824 5 without without IN 39713 1824 6 knowing know VBG 39713 1824 7 it -PRON- PRP 39713 1824 8 , , , 39713 1824 9 we -PRON- PRP 39713 1824 10 are be VBP 39713 1824 11 powerless powerless JJ 39713 1824 12 to to TO 39713 1824 13 abandon abandon VB 39713 1824 14 them -PRON- PRP 39713 1824 15 . . . 39713 1825 1 Here here RB 39713 1825 2 again again RB 39713 1825 3 , , , 39713 1825 4 then then RB 39713 1825 5 , , , 39713 1825 6 is be VBZ 39713 1825 7 a a DT 39713 1825 8 service service NN 39713 1825 9 that that WDT 39713 1825 10 mathematical mathematical JJ 39713 1825 11 physics physics NN 39713 1825 12 can can MD 39713 1825 13 render render VB 39713 1825 14 us -PRON- PRP 39713 1825 15 . . . 39713 1826 1 By by IN 39713 1826 2 the the DT 39713 1826 3 precision precision NN 39713 1826 4 that that WDT 39713 1826 5 is be VBZ 39713 1826 6 characteristic characteristic JJ 39713 1826 7 of of IN 39713 1826 8 it -PRON- PRP 39713 1826 9 , , , 39713 1826 10 it -PRON- PRP 39713 1826 11 compels compel VBZ 39713 1826 12 us -PRON- PRP 39713 1826 13 to to TO 39713 1826 14 formulate formulate VB 39713 1826 15 all all PDT 39713 1826 16 the the DT 39713 1826 17 hypotheses hypothesis NNS 39713 1826 18 that that WDT 39713 1826 19 we -PRON- PRP 39713 1826 20 should should MD 39713 1826 21 make make VB 39713 1826 22 without without IN 39713 1826 23 it -PRON- PRP 39713 1826 24 , , , 39713 1826 25 but but CC 39713 1826 26 unconsciously unconsciously RB 39713 1826 27 . . . 39713 1827 1 Let let VB 39713 1827 2 us -PRON- PRP 39713 1827 3 notice notice VB 39713 1827 4 besides besides IN 39713 1827 5 that that IN 39713 1827 6 it -PRON- PRP 39713 1827 7 is be VBZ 39713 1827 8 important important JJ 39713 1827 9 not not RB 39713 1827 10 to to TO 39713 1827 11 multiply multiply VB 39713 1827 12 hypotheses hypothesis NNS 39713 1827 13 beyond beyond IN 39713 1827 14 measure measure NN 39713 1827 15 , , , 39713 1827 16 and and CC 39713 1827 17 to to TO 39713 1827 18 make make VB 39713 1827 19 them -PRON- PRP 39713 1827 20 only only RB 39713 1827 21 one one CD 39713 1827 22 after after IN 39713 1827 23 the the DT 39713 1827 24 other other JJ 39713 1827 25 . . . 39713 1828 1 If if IN 39713 1828 2 we -PRON- PRP 39713 1828 3 construct construct VBP 39713 1828 4 a a DT 39713 1828 5 theory theory NN 39713 1828 6 based base VBN 39713 1828 7 on on IN 39713 1828 8 a a DT 39713 1828 9 number number NN 39713 1828 10 of of IN 39713 1828 11 hypotheses hypothesis NNS 39713 1828 12 , , , 39713 1828 13 and and CC 39713 1828 14 if if IN 39713 1828 15 experiment experiment NN 39713 1828 16 condemns condemn VBZ 39713 1828 17 it -PRON- PRP 39713 1828 18 , , , 39713 1828 19 which which WDT 39713 1828 20 of of IN 39713 1828 21 our -PRON- PRP$ 39713 1828 22 premises premise NNS 39713 1828 23 is be VBZ 39713 1828 24 it -PRON- PRP 39713 1828 25 necessary necessary JJ 39713 1828 26 to to TO 39713 1828 27 change change VB 39713 1828 28 ? ? . 39713 1829 1 It -PRON- PRP 39713 1829 2 will will MD 39713 1829 3 be be VB 39713 1829 4 impossible impossible JJ 39713 1829 5 to to TO 39713 1829 6 know know VB 39713 1829 7 . . . 39713 1830 1 And and CC 39713 1830 2 inversely inversely RB 39713 1830 3 , , , 39713 1830 4 if if IN 39713 1830 5 the the DT 39713 1830 6 experiment experiment NN 39713 1830 7 succeeds succeed VBZ 39713 1830 8 , , , 39713 1830 9 shall shall MD 39713 1830 10 we -PRON- PRP 39713 1830 11 believe believe VB 39713 1830 12 that that IN 39713 1830 13 we -PRON- PRP 39713 1830 14 have have VBP 39713 1830 15 demonstrated demonstrate VBN 39713 1830 16 all all PDT 39713 1830 17 the the DT 39713 1830 18 hypotheses hypothesis NNS 39713 1830 19 at at IN 39713 1830 20 once once RB 39713 1830 21 ? ? . 39713 1831 1 Shall Shall MD 39713 1831 2 we -PRON- PRP 39713 1831 3 believe believe VB 39713 1831 4 that that IN 39713 1831 5 with with IN 39713 1831 6 one one CD 39713 1831 7 single single JJ 39713 1831 8 equation equation NN 39713 1831 9 we -PRON- PRP 39713 1831 10 have have VBP 39713 1831 11 determined determine VBN 39713 1831 12 several several JJ 39713 1831 13 unknowns unknown NNS 39713 1831 14 ? ? . 39713 1832 1 We -PRON- PRP 39713 1832 2 must must MD 39713 1832 3 equally equally RB 39713 1832 4 take take VB 39713 1832 5 care care NN 39713 1832 6 to to TO 39713 1832 7 distinguish distinguish VB 39713 1832 8 between between IN 39713 1832 9 the the DT 39713 1832 10 different different JJ 39713 1832 11 kinds kind NNS 39713 1832 12 of of IN 39713 1832 13 hypotheses hypothesis NNS 39713 1832 14 . . . 39713 1833 1 There there EX 39713 1833 2 are be VBP 39713 1833 3 first first RB 39713 1833 4 those those DT 39713 1833 5 which which WDT 39713 1833 6 are be VBP 39713 1833 7 perfectly perfectly RB 39713 1833 8 natural natural JJ 39713 1833 9 and and CC 39713 1833 10 from from IN 39713 1833 11 which which WDT 39713 1833 12 one one PRP 39713 1833 13 can can MD 39713 1833 14 scarcely scarcely RB 39713 1833 15 escape escape VB 39713 1833 16 . . . 39713 1834 1 It -PRON- PRP 39713 1834 2 is be VBZ 39713 1834 3 difficult difficult JJ 39713 1834 4 not not RB 39713 1834 5 to to TO 39713 1834 6 suppose suppose VB 39713 1834 7 that that IN 39713 1834 8 the the DT 39713 1834 9 influence influence NN 39713 1834 10 of of IN 39713 1834 11 bodies body NNS 39713 1834 12 very very RB 39713 1834 13 remote remote JJ 39713 1834 14 is be VBZ 39713 1834 15 quite quite RB 39713 1834 16 negligible negligible JJ 39713 1834 17 , , , 39713 1834 18 that that IN 39713 1834 19 small small JJ 39713 1834 20 movements movement NNS 39713 1834 21 follow follow VBP 39713 1834 22 a a DT 39713 1834 23 linear linear JJ 39713 1834 24 law law NN 39713 1834 25 , , , 39713 1834 26 that that IN 39713 1834 27 the the DT 39713 1834 28 effect effect NN 39713 1834 29 is be VBZ 39713 1834 30 a a DT 39713 1834 31 continuous continuous JJ 39713 1834 32 function function NN 39713 1834 33 of of IN 39713 1834 34 its -PRON- PRP$ 39713 1834 35 cause cause NN 39713 1834 36 . . . 39713 1835 1 I -PRON- PRP 39713 1835 2 will will MD 39713 1835 3 say say VB 39713 1835 4 as as RB 39713 1835 5 much much JJ 39713 1835 6 of of IN 39713 1835 7 the the DT 39713 1835 8 conditions condition NNS 39713 1835 9 imposed impose VBN 39713 1835 10 by by IN 39713 1835 11 symmetry symmetry NNP 39713 1835 12 . . . 39713 1836 1 All all PDT 39713 1836 2 these these DT 39713 1836 3 hypotheses hypothesis NNS 39713 1836 4 form form VBP 39713 1836 5 , , , 39713 1836 6 as as IN 39713 1836 7 it -PRON- PRP 39713 1836 8 were be VBD 39713 1836 9 , , , 39713 1836 10 the the DT 39713 1836 11 common common JJ 39713 1836 12 basis basis NN 39713 1836 13 of of IN 39713 1836 14 all all PDT 39713 1836 15 the the DT 39713 1836 16 theories theory NNS 39713 1836 17 of of IN 39713 1836 18 mathematical mathematical JJ 39713 1836 19 physics physics NN 39713 1836 20 . . . 39713 1837 1 They -PRON- PRP 39713 1837 2 are be VBP 39713 1837 3 the the DT 39713 1837 4 last last JJ 39713 1837 5 that that DT 39713 1837 6 ought ought MD 39713 1837 7 to to TO 39713 1837 8 be be VB 39713 1837 9 abandoned abandon VBN 39713 1837 10 . . . 39713 1838 1 There there EX 39713 1838 2 is be VBZ 39713 1838 3 a a DT 39713 1838 4 second second JJ 39713 1838 5 class class NN 39713 1838 6 of of IN 39713 1838 7 hypotheses hypothesis NNS 39713 1838 8 , , , 39713 1838 9 that that IN 39713 1838 10 I -PRON- PRP 39713 1838 11 shall shall MD 39713 1838 12 term term NN 39713 1838 13 neutral neutral JJ 39713 1838 14 . . . 39713 1839 1 In in IN 39713 1839 2 most most JJS 39713 1839 3 questions question NNS 39713 1839 4 the the DT 39713 1839 5 analyst analyst NN 39713 1839 6 assumes assume VBZ 39713 1839 7 at at IN 39713 1839 8 the the DT 39713 1839 9 beginning beginning NN 39713 1839 10 of of IN 39713 1839 11 his -PRON- PRP$ 39713 1839 12 calculations calculation NNS 39713 1839 13 either either CC 39713 1839 14 that that DT 39713 1839 15 matter matter NN 39713 1839 16 is be VBZ 39713 1839 17 continuous continuous JJ 39713 1839 18 or or CC 39713 1839 19 , , , 39713 1839 20 on on IN 39713 1839 21 the the DT 39713 1839 22 contrary contrary NN 39713 1839 23 , , , 39713 1839 24 that that IN 39713 1839 25 it -PRON- PRP 39713 1839 26 is be VBZ 39713 1839 27 formed form VBN 39713 1839 28 of of IN 39713 1839 29 atoms atom NNS 39713 1839 30 . . . 39713 1840 1 He -PRON- PRP 39713 1840 2 might may MD 39713 1840 3 have have VB 39713 1840 4 made make VBN 39713 1840 5 the the DT 39713 1840 6 opposite opposite JJ 39713 1840 7 assumption assumption NN 39713 1840 8 without without IN 39713 1840 9 changing change VBG 39713 1840 10 his -PRON- PRP$ 39713 1840 11 results result NNS 39713 1840 12 . . . 39713 1841 1 He -PRON- PRP 39713 1841 2 would would MD 39713 1841 3 only only RB 39713 1841 4 have have VB 39713 1841 5 had have VBN 39713 1841 6 more more JJR 39713 1841 7 trouble trouble NN 39713 1841 8 to to TO 39713 1841 9 obtain obtain VB 39713 1841 10 them -PRON- PRP 39713 1841 11 ; ; : 39713 1841 12 that that DT 39713 1841 13 is be VBZ 39713 1841 14 all all DT 39713 1841 15 . . . 39713 1842 1 If if IN 39713 1842 2 , , , 39713 1842 3 then then RB 39713 1842 4 , , , 39713 1842 5 experiment experiment NN 39713 1842 6 confirms confirm VBZ 39713 1842 7 his -PRON- PRP$ 39713 1842 8 conclusions conclusion NNS 39713 1842 9 , , , 39713 1842 10 will will MD 39713 1842 11 he -PRON- PRP 39713 1842 12 think think VB 39713 1842 13 that that IN 39713 1842 14 he -PRON- PRP 39713 1842 15 has have VBZ 39713 1842 16 demonstrated demonstrate VBN 39713 1842 17 , , , 39713 1842 18 for for IN 39713 1842 19 instance instance NN 39713 1842 20 , , , 39713 1842 21 the the DT 39713 1842 22 real real JJ 39713 1842 23 existence existence NN 39713 1842 24 of of IN 39713 1842 25 atoms atom NNS 39713 1842 26 ? ? . 39713 1843 1 In in IN 39713 1843 2 optical optical JJ 39713 1843 3 theories theory NNS 39713 1843 4 two two CD 39713 1843 5 vectors vector NNS 39713 1843 6 are be VBP 39713 1843 7 introduced introduce VBN 39713 1843 8 , , , 39713 1843 9 of of IN 39713 1843 10 which which WDT 39713 1843 11 one one NN 39713 1843 12 is be VBZ 39713 1843 13 regarded regard VBN 39713 1843 14 as as IN 39713 1843 15 a a DT 39713 1843 16 velocity velocity NN 39713 1843 17 , , , 39713 1843 18 the the DT 39713 1843 19 other other JJ 39713 1843 20 as as IN 39713 1843 21 a a DT 39713 1843 22 vortex vortex NN 39713 1843 23 . . . 39713 1844 1 Here here RB 39713 1844 2 again again RB 39713 1844 3 is be VBZ 39713 1844 4 a a DT 39713 1844 5 neutral neutral JJ 39713 1844 6 hypothesis hypothesis NN 39713 1844 7 , , , 39713 1844 8 since since IN 39713 1844 9 the the DT 39713 1844 10 same same JJ 39713 1844 11 conclusions conclusion NNS 39713 1844 12 would would MD 39713 1844 13 have have VB 39713 1844 14 been be VBN 39713 1844 15 reached reach VBN 39713 1844 16 by by IN 39713 1844 17 taking take VBG 39713 1844 18 precisely precisely RB 39713 1844 19 the the DT 39713 1844 20 opposite opposite NN 39713 1844 21 . . . 39713 1845 1 The the DT 39713 1845 2 success success NN 39713 1845 3 of of IN 39713 1845 4 the the DT 39713 1845 5 experiment experiment NN 39713 1845 6 , , , 39713 1845 7 then then RB 39713 1845 8 , , , 39713 1845 9 can can MD 39713 1845 10 not not RB 39713 1845 11 prove prove VB 39713 1845 12 that that IN 39713 1845 13 the the DT 39713 1845 14 first first JJ 39713 1845 15 vector vector NN 39713 1845 16 is be VBZ 39713 1845 17 indeed indeed RB 39713 1845 18 a a DT 39713 1845 19 velocity velocity NN 39713 1845 20 ; ; : 39713 1845 21 it -PRON- PRP 39713 1845 22 can can MD 39713 1845 23 only only RB 39713 1845 24 prove prove VB 39713 1845 25 one one CD 39713 1845 26 thing thing NN 39713 1845 27 , , , 39713 1845 28 that that IN 39713 1845 29 it -PRON- PRP 39713 1845 30 is be VBZ 39713 1845 31 a a DT 39713 1845 32 vector vector NN 39713 1845 33 . . . 39713 1846 1 This this DT 39713 1846 2 is be VBZ 39713 1846 3 the the DT 39713 1846 4 only only JJ 39713 1846 5 hypothesis hypothesis NN 39713 1846 6 that that WDT 39713 1846 7 has have VBZ 39713 1846 8 really really RB 39713 1846 9 been be VBN 39713 1846 10 introduced introduce VBN 39713 1846 11 in in IN 39713 1846 12 the the DT 39713 1846 13 premises premise NNS 39713 1846 14 . . . 39713 1847 1 In in IN 39713 1847 2 order order NN 39713 1847 3 to to TO 39713 1847 4 give give VB 39713 1847 5 it -PRON- PRP 39713 1847 6 that that DT 39713 1847 7 concrete concrete JJ 39713 1847 8 appearance appearance NN 39713 1847 9 which which WDT 39713 1847 10 the the DT 39713 1847 11 weakness weakness NN 39713 1847 12 of of IN 39713 1847 13 our -PRON- PRP$ 39713 1847 14 minds mind NNS 39713 1847 15 requires require VBZ 39713 1847 16 , , , 39713 1847 17 it -PRON- PRP 39713 1847 18 has have VBZ 39713 1847 19 been be VBN 39713 1847 20 necessary necessary JJ 39713 1847 21 to to TO 39713 1847 22 consider consider VB 39713 1847 23 it -PRON- PRP 39713 1847 24 either either CC 39713 1847 25 as as IN 39713 1847 26 a a DT 39713 1847 27 velocity velocity NN 39713 1847 28 or or CC 39713 1847 29 as as IN 39713 1847 30 a a DT 39713 1847 31 vortex vortex NN 39713 1847 32 , , , 39713 1847 33 in in IN 39713 1847 34 the the DT 39713 1847 35 same same JJ 39713 1847 36 way way NN 39713 1847 37 that that WDT 39713 1847 38 it -PRON- PRP 39713 1847 39 has have VBZ 39713 1847 40 been be VBN 39713 1847 41 necessary necessary JJ 39713 1847 42 to to TO 39713 1847 43 represent represent VB 39713 1847 44 it -PRON- PRP 39713 1847 45 by by IN 39713 1847 46 a a DT 39713 1847 47 letter letter NN 39713 1847 48 , , , 39713 1847 49 either either CC 39713 1847 50 _ _ NNP 39713 1847 51 x x NNP 39713 1847 52 _ _ NNP 39713 1847 53 or or CC 39713 1847 54 _ _ NNP 39713 1847 55 y y NNP 39713 1847 56 _ _ NNP 39713 1847 57 . . . 39713 1848 1 The the DT 39713 1848 2 result result NN 39713 1848 3 , , , 39713 1848 4 however however RB 39713 1848 5 , , , 39713 1848 6 whatever whatever WDT 39713 1848 7 it -PRON- PRP 39713 1848 8 may may MD 39713 1848 9 be be VB 39713 1848 10 , , , 39713 1848 11 will will MD 39713 1848 12 not not RB 39713 1848 13 prove prove VB 39713 1848 14 that that IN 39713 1848 15 it -PRON- PRP 39713 1848 16 was be VBD 39713 1848 17 right right JJ 39713 1848 18 or or CC 39713 1848 19 wrong wrong JJ 39713 1848 20 to to TO 39713 1848 21 regard regard VB 39713 1848 22 it -PRON- PRP 39713 1848 23 as as IN 39713 1848 24 a a DT 39713 1848 25 velocity velocity NN 39713 1848 26 any any DT 39713 1848 27 more more RBR 39713 1848 28 than than IN 39713 1848 29 it -PRON- PRP 39713 1848 30 will will MD 39713 1848 31 prove prove VB 39713 1848 32 that that IN 39713 1848 33 it -PRON- PRP 39713 1848 34 was be VBD 39713 1848 35 right right JJ 39713 1848 36 or or CC 39713 1848 37 wrong wrong JJ 39713 1848 38 to to TO 39713 1848 39 call call VB 39713 1848 40 it -PRON- PRP 39713 1848 41 _ _ NNP 39713 1848 42 x x NNP 39713 1848 43 _ _ NNP 39713 1848 44 and and CC 39713 1848 45 not not RB 39713 1848 46 _ _ NNP 39713 1848 47 y y NNP 39713 1848 48 _ _ NNP 39713 1848 49 . . . 39713 1849 1 These these DT 39713 1849 2 neutral neutral JJ 39713 1849 3 hypotheses hypothesis NNS 39713 1849 4 are be VBP 39713 1849 5 never never RB 39713 1849 6 dangerous dangerous JJ 39713 1849 7 , , , 39713 1849 8 if if IN 39713 1849 9 only only RB 39713 1849 10 their -PRON- PRP$ 39713 1849 11 character character NN 39713 1849 12 is be VBZ 39713 1849 13 not not RB 39713 1849 14 misunderstood misunderstood NN 39713 1849 15 . . . 39713 1850 1 They -PRON- PRP 39713 1850 2 may may MD 39713 1850 3 be be VB 39713 1850 4 useful useful JJ 39713 1850 5 , , , 39713 1850 6 either either RB 39713 1850 7 as as IN 39713 1850 8 devices device NNS 39713 1850 9 for for IN 39713 1850 10 computation computation NN 39713 1850 11 , , , 39713 1850 12 or or CC 39713 1850 13 to to TO 39713 1850 14 aid aid VB 39713 1850 15 our -PRON- PRP$ 39713 1850 16 understanding understanding NN 39713 1850 17 by by IN 39713 1850 18 concrete concrete JJ 39713 1850 19 images image NNS 39713 1850 20 , , , 39713 1850 21 to to TO 39713 1850 22 fix fix VB 39713 1850 23 our -PRON- PRP$ 39713 1850 24 ideas idea NNS 39713 1850 25 as as IN 39713 1850 26 the the DT 39713 1850 27 saying saying NN 39713 1850 28 is be VBZ 39713 1850 29 . . . 39713 1851 1 There there EX 39713 1851 2 is be VBZ 39713 1851 3 , , , 39713 1851 4 then then RB 39713 1851 5 , , , 39713 1851 6 no no DT 39713 1851 7 occasion occasion NN 39713 1851 8 to to TO 39713 1851 9 exclude exclude VB 39713 1851 10 them -PRON- PRP 39713 1851 11 . . . 39713 1852 1 The the DT 39713 1852 2 hypotheses hypothesis NNS 39713 1852 3 of of IN 39713 1852 4 the the DT 39713 1852 5 third third JJ 39713 1852 6 class class NN 39713 1852 7 are be VBP 39713 1852 8 the the DT 39713 1852 9 real real JJ 39713 1852 10 generalizations generalization NNS 39713 1852 11 . . . 39713 1853 1 They -PRON- PRP 39713 1853 2 are be VBP 39713 1853 3 the the DT 39713 1853 4 ones one NNS 39713 1853 5 that that WDT 39713 1853 6 experiment experiment NN 39713 1853 7 must must MD 39713 1853 8 confirm confirm VB 39713 1853 9 or or CC 39713 1853 10 invalidate invalidate VB 39713 1853 11 . . . 39713 1854 1 Whether whether IN 39713 1854 2 verified verified JJ 39713 1854 3 or or CC 39713 1854 4 condemned condemn VBN 39713 1854 5 , , , 39713 1854 6 they -PRON- PRP 39713 1854 7 will will MD 39713 1854 8 always always RB 39713 1854 9 be be VB 39713 1854 10 fruitful fruitful JJ 39713 1854 11 . . . 39713 1855 1 But but CC 39713 1855 2 for for IN 39713 1855 3 the the DT 39713 1855 4 reasons reason NNS 39713 1855 5 that that WDT 39713 1855 6 I -PRON- PRP 39713 1855 7 have have VBP 39713 1855 8 set set VBN 39713 1855 9 forth forth RP 39713 1855 10 , , , 39713 1855 11 they -PRON- PRP 39713 1855 12 will will MD 39713 1855 13 only only RB 39713 1855 14 be be VB 39713 1855 15 fruitful fruitful JJ 39713 1855 16 if if IN 39713 1855 17 they -PRON- PRP 39713 1855 18 are be VBP 39713 1855 19 not not RB 39713 1855 20 too too RB 39713 1855 21 numerous numerous JJ 39713 1855 22 . . . 39713 1856 1 ORIGIN ORIGIN NNP 39713 1856 2 OF of IN 39713 1856 3 MATHEMATICAL MATHEMATICAL NNP 39713 1856 4 PHYSICS.--Let PHYSICS.--Let '' 39713 1856 5 us -PRON- PRP 39713 1856 6 penetrate penetrate VBP 39713 1856 7 further far RBR 39713 1856 8 , , , 39713 1856 9 and and CC 39713 1856 10 study study VB 39713 1856 11 more more RBR 39713 1856 12 closely closely RB 39713 1856 13 the the DT 39713 1856 14 conditions condition NNS 39713 1856 15 that that WDT 39713 1856 16 have have VBP 39713 1856 17 permitted permit VBN 39713 1856 18 the the DT 39713 1856 19 development development NN 39713 1856 20 of of IN 39713 1856 21 mathematical mathematical JJ 39713 1856 22 physics physics NN 39713 1856 23 . . . 39713 1857 1 We -PRON- PRP 39713 1857 2 observe observe VBP 39713 1857 3 at at IN 39713 1857 4 once once RB 39713 1857 5 that that IN 39713 1857 6 the the DT 39713 1857 7 efforts effort NNS 39713 1857 8 of of IN 39713 1857 9 scientists scientist NNS 39713 1857 10 have have VBP 39713 1857 11 always always RB 39713 1857 12 aimed aim VBN 39713 1857 13 to to TO 39713 1857 14 resolve resolve VB 39713 1857 15 the the DT 39713 1857 16 complex complex JJ 39713 1857 17 phenomenon phenomenon NN 39713 1857 18 directly directly RB 39713 1857 19 given give VBN 39713 1857 20 by by IN 39713 1857 21 experiment experiment NN 39713 1857 22 into into IN 39713 1857 23 a a DT 39713 1857 24 very very RB 39713 1857 25 large large JJ 39713 1857 26 number number NN 39713 1857 27 of of IN 39713 1857 28 elementary elementary JJ 39713 1857 29 phenomena phenomenon NNS 39713 1857 30 . . . 39713 1858 1 This this DT 39713 1858 2 is be VBZ 39713 1858 3 done do VBN 39713 1858 4 in in IN 39713 1858 5 three three CD 39713 1858 6 different different JJ 39713 1858 7 ways way NNS 39713 1858 8 : : : 39713 1858 9 first first RB 39713 1858 10 , , , 39713 1858 11 in in IN 39713 1858 12 time time NN 39713 1858 13 . . . 39713 1859 1 Instead instead RB 39713 1859 2 of of IN 39713 1859 3 embracing embrace VBG 39713 1859 4 in in IN 39713 1859 5 its -PRON- PRP$ 39713 1859 6 entirety entirety NN 39713 1859 7 the the DT 39713 1859 8 progressive progressive JJ 39713 1859 9 development development NN 39713 1859 10 of of IN 39713 1859 11 a a DT 39713 1859 12 phenomenon phenomenon NN 39713 1859 13 , , , 39713 1859 14 the the DT 39713 1859 15 aim aim NN 39713 1859 16 is be VBZ 39713 1859 17 simply simply RB 39713 1859 18 to to TO 39713 1859 19 connect connect VB 39713 1859 20 each each DT 39713 1859 21 instant instant NN 39713 1859 22 with with IN 39713 1859 23 the the DT 39713 1859 24 instant instant NN 39713 1859 25 immediately immediately RB 39713 1859 26 preceding precede VBG 39713 1859 27 it -PRON- PRP 39713 1859 28 . . . 39713 1860 1 It -PRON- PRP 39713 1860 2 is be VBZ 39713 1860 3 admitted admit VBN 39713 1860 4 that that IN 39713 1860 5 the the DT 39713 1860 6 actual actual JJ 39713 1860 7 state state NN 39713 1860 8 of of IN 39713 1860 9 the the DT 39713 1860 10 world world NN 39713 1860 11 depends depend VBZ 39713 1860 12 only only RB 39713 1860 13 on on IN 39713 1860 14 the the DT 39713 1860 15 immediate immediate JJ 39713 1860 16 past past NN 39713 1860 17 , , , 39713 1860 18 without without IN 39713 1860 19 being be VBG 39713 1860 20 directly directly RB 39713 1860 21 influenced influence VBN 39713 1860 22 , , , 39713 1860 23 so so RB 39713 1860 24 to to TO 39713 1860 25 speak speak VB 39713 1860 26 , , , 39713 1860 27 by by IN 39713 1860 28 the the DT 39713 1860 29 memory memory NN 39713 1860 30 of of IN 39713 1860 31 a a DT 39713 1860 32 distant distant JJ 39713 1860 33 past past NN 39713 1860 34 . . . 39713 1861 1 Thanks thank NNS 39713 1861 2 to to IN 39713 1861 3 this this DT 39713 1861 4 postulate postulate NN 39713 1861 5 , , , 39713 1861 6 instead instead RB 39713 1861 7 of of IN 39713 1861 8 studying study VBG 39713 1861 9 directly directly RB 39713 1861 10 the the DT 39713 1861 11 whole whole JJ 39713 1861 12 succession succession NN 39713 1861 13 of of IN 39713 1861 14 phenomena phenomenon NNS 39713 1861 15 , , , 39713 1861 16 it -PRON- PRP 39713 1861 17 is be VBZ 39713 1861 18 possible possible JJ 39713 1861 19 to to TO 39713 1861 20 confine confine VB 39713 1861 21 ourselves -PRON- PRP 39713 1861 22 to to IN 39713 1861 23 writing write VBG 39713 1861 24 its -PRON- PRP$ 39713 1861 25 ' ' `` 39713 1861 26 differential differential NN 39713 1861 27 equation equation NN 39713 1861 28 . . . 39713 1861 29 ' ' '' 39713 1862 1 For for IN 39713 1862 2 Kepler Kepler NNP 39713 1862 3 's 's POS 39713 1862 4 laws law NNS 39713 1862 5 we -PRON- PRP 39713 1862 6 substitute substitute VBP 39713 1862 7 Newton Newton NNP 39713 1862 8 's 's POS 39713 1862 9 law law NN 39713 1862 10 . . . 39713 1863 1 Next next RB 39713 1863 2 we -PRON- PRP 39713 1863 3 try try VBP 39713 1863 4 to to TO 39713 1863 5 analyze analyze VB 39713 1863 6 the the DT 39713 1863 7 phenomenon phenomenon NN 39713 1863 8 in in IN 39713 1863 9 space space NN 39713 1863 10 . . . 39713 1864 1 What what WDT 39713 1864 2 experiment experiment NN 39713 1864 3 gives give VBZ 39713 1864 4 us -PRON- PRP 39713 1864 5 is be VBZ 39713 1864 6 a a DT 39713 1864 7 confused confused JJ 39713 1864 8 mass mass NN 39713 1864 9 of of IN 39713 1864 10 facts fact NNS 39713 1864 11 presented present VBN 39713 1864 12 on on IN 39713 1864 13 a a DT 39713 1864 14 stage stage NN 39713 1864 15 of of IN 39713 1864 16 considerable considerable JJ 39713 1864 17 extent extent NN 39713 1864 18 . . . 39713 1865 1 We -PRON- PRP 39713 1865 2 must must MD 39713 1865 3 try try VB 39713 1865 4 to to TO 39713 1865 5 discover discover VB 39713 1865 6 the the DT 39713 1865 7 elementary elementary JJ 39713 1865 8 phenomenon phenomenon NN 39713 1865 9 , , , 39713 1865 10 which which WDT 39713 1865 11 will will MD 39713 1865 12 be be VB 39713 1865 13 , , , 39713 1865 14 on on IN 39713 1865 15 the the DT 39713 1865 16 contrary contrary NN 39713 1865 17 , , , 39713 1865 18 localized localize VBN 39713 1865 19 in in IN 39713 1865 20 a a DT 39713 1865 21 very very RB 39713 1865 22 small small JJ 39713 1865 23 region region NN 39713 1865 24 of of IN 39713 1865 25 space space NN 39713 1865 26 . . . 39713 1866 1 Some some DT 39713 1866 2 examples example NNS 39713 1866 3 will will MD 39713 1866 4 perhaps perhaps RB 39713 1866 5 make make VB 39713 1866 6 my -PRON- PRP$ 39713 1866 7 thought thought NN 39713 1866 8 better well RBR 39713 1866 9 understood understand VBD 39713 1866 10 . . . 39713 1867 1 If if IN 39713 1867 2 we -PRON- PRP 39713 1867 3 wished wish VBD 39713 1867 4 to to TO 39713 1867 5 study study VB 39713 1867 6 in in IN 39713 1867 7 all all DT 39713 1867 8 its -PRON- PRP$ 39713 1867 9 complexity complexity NN 39713 1867 10 the the DT 39713 1867 11 distribution distribution NN 39713 1867 12 of of IN 39713 1867 13 temperature temperature NN 39713 1867 14 in in IN 39713 1867 15 a a DT 39713 1867 16 cooling cool VBG 39713 1867 17 solid solid JJ 39713 1867 18 , , , 39713 1867 19 we -PRON- PRP 39713 1867 20 should should MD 39713 1867 21 never never RB 39713 1867 22 succeed succeed VB 39713 1867 23 . . . 39713 1868 1 Everything everything NN 39713 1868 2 becomes become VBZ 39713 1868 3 simple simple JJ 39713 1868 4 if if IN 39713 1868 5 we -PRON- PRP 39713 1868 6 reflect reflect VBP 39713 1868 7 that that IN 39713 1868 8 one one CD 39713 1868 9 point point NN 39713 1868 10 of of IN 39713 1868 11 the the DT 39713 1868 12 solid solid JJ 39713 1868 13 can can MD 39713 1868 14 not not RB 39713 1868 15 give give VB 39713 1868 16 up up RP 39713 1868 17 its -PRON- PRP$ 39713 1868 18 heat heat NN 39713 1868 19 directly directly RB 39713 1868 20 to to IN 39713 1868 21 a a DT 39713 1868 22 distant distant JJ 39713 1868 23 point point NN 39713 1868 24 ; ; : 39713 1868 25 it -PRON- PRP 39713 1868 26 will will MD 39713 1868 27 give give VB 39713 1868 28 up up RP 39713 1868 29 its -PRON- PRP$ 39713 1868 30 heat heat NN 39713 1868 31 only only RB 39713 1868 32 to to IN 39713 1868 33 the the DT 39713 1868 34 points point NNS 39713 1868 35 in in IN 39713 1868 36 the the DT 39713 1868 37 immediate immediate JJ 39713 1868 38 neighborhood neighborhood NN 39713 1868 39 , , , 39713 1868 40 and and CC 39713 1868 41 it -PRON- PRP 39713 1868 42 is be VBZ 39713 1868 43 by by IN 39713 1868 44 degrees degree NNS 39713 1868 45 that that IN 39713 1868 46 the the DT 39713 1868 47 flow flow NN 39713 1868 48 of of IN 39713 1868 49 heat heat NN 39713 1868 50 can can MD 39713 1868 51 reach reach VB 39713 1868 52 other other JJ 39713 1868 53 parts part NNS 39713 1868 54 of of IN 39713 1868 55 the the DT 39713 1868 56 solid solid JJ 39713 1868 57 . . . 39713 1869 1 The the DT 39713 1869 2 elementary elementary JJ 39713 1869 3 phenomenon phenomenon NN 39713 1869 4 is be VBZ 39713 1869 5 the the DT 39713 1869 6 exchange exchange NN 39713 1869 7 of of IN 39713 1869 8 heat heat NN 39713 1869 9 between between IN 39713 1869 10 two two CD 39713 1869 11 contiguous contiguous JJ 39713 1869 12 points point NNS 39713 1869 13 . . . 39713 1870 1 It -PRON- PRP 39713 1870 2 is be VBZ 39713 1870 3 strictly strictly RB 39713 1870 4 localized localize VBN 39713 1870 5 , , , 39713 1870 6 and and CC 39713 1870 7 is be VBZ 39713 1870 8 relatively relatively RB 39713 1870 9 simple simple JJ 39713 1870 10 , , , 39713 1870 11 if if IN 39713 1870 12 we -PRON- PRP 39713 1870 13 admit admit VBP 39713 1870 14 , , , 39713 1870 15 as as IN 39713 1870 16 is be VBZ 39713 1870 17 natural natural JJ 39713 1870 18 , , , 39713 1870 19 that that IN 39713 1870 20 it -PRON- PRP 39713 1870 21 is be VBZ 39713 1870 22 not not RB 39713 1870 23 influenced influence VBN 39713 1870 24 by by IN 39713 1870 25 the the DT 39713 1870 26 temperature temperature NN 39713 1870 27 of of IN 39713 1870 28 molecules molecule NNS 39713 1870 29 whose whose WP$ 39713 1870 30 distance distance NN 39713 1870 31 is be VBZ 39713 1870 32 sensible sensible JJ 39713 1870 33 . . . 39713 1871 1 I -PRON- PRP 39713 1871 2 bend bend VBP 39713 1871 3 a a DT 39713 1871 4 rod rod NN 39713 1871 5 . . . 39713 1872 1 It -PRON- PRP 39713 1872 2 is be VBZ 39713 1872 3 going go VBG 39713 1872 4 to to TO 39713 1872 5 take take VB 39713 1872 6 a a DT 39713 1872 7 very very RB 39713 1872 8 complicated complicated JJ 39713 1872 9 form form NN 39713 1872 10 , , , 39713 1872 11 the the DT 39713 1872 12 direct direct JJ 39713 1872 13 study study NN 39713 1872 14 of of IN 39713 1872 15 which which WDT 39713 1872 16 would would MD 39713 1872 17 be be VB 39713 1872 18 impossible impossible JJ 39713 1872 19 . . . 39713 1873 1 But but CC 39713 1873 2 I -PRON- PRP 39713 1873 3 shall shall MD 39713 1873 4 be be VB 39713 1873 5 able able JJ 39713 1873 6 , , , 39713 1873 7 however however RB 39713 1873 8 , , , 39713 1873 9 to to TO 39713 1873 10 attack attack VB 39713 1873 11 it -PRON- PRP 39713 1873 12 , , , 39713 1873 13 if if IN 39713 1873 14 I -PRON- PRP 39713 1873 15 observe observe VBP 39713 1873 16 that that IN 39713 1873 17 its -PRON- PRP$ 39713 1873 18 flexure flexure NN 39713 1873 19 is be VBZ 39713 1873 20 a a DT 39713 1873 21 result result NN 39713 1873 22 only only RB 39713 1873 23 of of IN 39713 1873 24 the the DT 39713 1873 25 deformation deformation NN 39713 1873 26 of of IN 39713 1873 27 the the DT 39713 1873 28 very very RB 39713 1873 29 small small JJ 39713 1873 30 elements element NNS 39713 1873 31 of of IN 39713 1873 32 the the DT 39713 1873 33 rod rod NN 39713 1873 34 , , , 39713 1873 35 and and CC 39713 1873 36 that that IN 39713 1873 37 the the DT 39713 1873 38 deformation deformation NN 39713 1873 39 of of IN 39713 1873 40 each each DT 39713 1873 41 of of IN 39713 1873 42 these these DT 39713 1873 43 elements element NNS 39713 1873 44 depends depend VBZ 39713 1873 45 only only RB 39713 1873 46 on on IN 39713 1873 47 the the DT 39713 1873 48 forces force NNS 39713 1873 49 that that WDT 39713 1873 50 are be VBP 39713 1873 51 directly directly RB 39713 1873 52 applied apply VBN 39713 1873 53 to to IN 39713 1873 54 it -PRON- PRP 39713 1873 55 , , , 39713 1873 56 and and CC 39713 1873 57 not not RB 39713 1873 58 at at RB 39713 1873 59 all all RB 39713 1873 60 on on IN 39713 1873 61 those those DT 39713 1873 62 which which WDT 39713 1873 63 may may MD 39713 1873 64 act act VB 39713 1873 65 on on IN 39713 1873 66 the the DT 39713 1873 67 other other JJ 39713 1873 68 elements element NNS 39713 1873 69 . . . 39713 1874 1 In in IN 39713 1874 2 all all PDT 39713 1874 3 these these DT 39713 1874 4 examples example NNS 39713 1874 5 , , , 39713 1874 6 which which WDT 39713 1874 7 I -PRON- PRP 39713 1874 8 might may MD 39713 1874 9 easily easily RB 39713 1874 10 multiply multiply VB 39713 1874 11 , , , 39713 1874 12 we -PRON- PRP 39713 1874 13 admit admit VBP 39713 1874 14 that that IN 39713 1874 15 there there EX 39713 1874 16 is be VBZ 39713 1874 17 no no DT 39713 1874 18 action action NN 39713 1874 19 at at IN 39713 1874 20 a a DT 39713 1874 21 distance distance NN 39713 1874 22 , , , 39713 1874 23 or or CC 39713 1874 24 at at IN 39713 1874 25 least least JJS 39713 1874 26 at at IN 39713 1874 27 a a DT 39713 1874 28 great great JJ 39713 1874 29 distance distance NN 39713 1874 30 . . . 39713 1875 1 This this DT 39713 1875 2 is be VBZ 39713 1875 3 a a DT 39713 1875 4 hypothesis hypothesis NN 39713 1875 5 . . . 39713 1876 1 It -PRON- PRP 39713 1876 2 is be VBZ 39713 1876 3 not not RB 39713 1876 4 always always RB 39713 1876 5 true true JJ 39713 1876 6 , , , 39713 1876 7 as as IN 39713 1876 8 the the DT 39713 1876 9 law law NN 39713 1876 10 of of IN 39713 1876 11 gravitation gravitation NN 39713 1876 12 shows show VBZ 39713 1876 13 us -PRON- PRP 39713 1876 14 . . . 39713 1877 1 It -PRON- PRP 39713 1877 2 must must MD 39713 1877 3 , , , 39713 1877 4 then then RB 39713 1877 5 , , , 39713 1877 6 be be VB 39713 1877 7 submitted submit VBN 39713 1877 8 to to IN 39713 1877 9 verification verification NN 39713 1877 10 . . . 39713 1878 1 If if IN 39713 1878 2 it -PRON- PRP 39713 1878 3 is be VBZ 39713 1878 4 confirmed confirm VBN 39713 1878 5 , , , 39713 1878 6 even even RB 39713 1878 7 approximately approximately RB 39713 1878 8 , , , 39713 1878 9 it -PRON- PRP 39713 1878 10 is be VBZ 39713 1878 11 precious precious JJ 39713 1878 12 , , , 39713 1878 13 for for IN 39713 1878 14 it -PRON- PRP 39713 1878 15 will will MD 39713 1878 16 enable enable VB 39713 1878 17 us -PRON- PRP 39713 1878 18 to to TO 39713 1878 19 make make VB 39713 1878 20 mathematical mathematical JJ 39713 1878 21 physics physic NNS 39713 1878 22 , , , 39713 1878 23 at at IN 39713 1878 24 least least JJS 39713 1878 25 by by IN 39713 1878 26 successive successive JJ 39713 1878 27 approximations approximation NNS 39713 1878 28 . . . 39713 1879 1 If if IN 39713 1879 2 it -PRON- PRP 39713 1879 3 does do VBZ 39713 1879 4 not not RB 39713 1879 5 stand stand VB 39713 1879 6 the the DT 39713 1879 7 test test NN 39713 1879 8 , , , 39713 1879 9 we -PRON- PRP 39713 1879 10 must must MD 39713 1879 11 look look VB 39713 1879 12 for for IN 39713 1879 13 something something NN 39713 1879 14 else else RB 39713 1879 15 analogous analogous JJ 39713 1879 16 ; ; : 39713 1879 17 for for IN 39713 1879 18 there there EX 39713 1879 19 are be VBP 39713 1879 20 still still RB 39713 1879 21 other other JJ 39713 1879 22 means mean NNS 39713 1879 23 of of IN 39713 1879 24 arriving arrive VBG 39713 1879 25 at at IN 39713 1879 26 the the DT 39713 1879 27 elementary elementary JJ 39713 1879 28 phenomenon phenomenon NN 39713 1879 29 . . . 39713 1880 1 If if IN 39713 1880 2 several several JJ 39713 1880 3 bodies body NNS 39713 1880 4 act act VBP 39713 1880 5 simultaneously simultaneously RB 39713 1880 6 , , , 39713 1880 7 it -PRON- PRP 39713 1880 8 may may MD 39713 1880 9 happen happen VB 39713 1880 10 that that IN 39713 1880 11 their -PRON- PRP$ 39713 1880 12 actions action NNS 39713 1880 13 are be VBP 39713 1880 14 independent independent JJ 39713 1880 15 and and CC 39713 1880 16 are be VBP 39713 1880 17 simply simply RB 39713 1880 18 added add VBN 39713 1880 19 to to IN 39713 1880 20 one one CD 39713 1880 21 another another DT 39713 1880 22 , , , 39713 1880 23 either either CC 39713 1880 24 as as IN 39713 1880 25 vectors vector NNS 39713 1880 26 or or CC 39713 1880 27 as as IN 39713 1880 28 scalars scalar NNS 39713 1880 29 . . . 39713 1881 1 The the DT 39713 1881 2 elementary elementary JJ 39713 1881 3 phenomenon phenomenon NN 39713 1881 4 is be VBZ 39713 1881 5 then then RB 39713 1881 6 the the DT 39713 1881 7 action action NN 39713 1881 8 of of IN 39713 1881 9 an an DT 39713 1881 10 isolated isolated JJ 39713 1881 11 body body NN 39713 1881 12 . . . 39713 1882 1 Or or CC 39713 1882 2 again again RB 39713 1882 3 , , , 39713 1882 4 we -PRON- PRP 39713 1882 5 have have VBP 39713 1882 6 to to TO 39713 1882 7 deal deal VB 39713 1882 8 with with IN 39713 1882 9 small small JJ 39713 1882 10 movements movement NNS 39713 1882 11 , , , 39713 1882 12 or or CC 39713 1882 13 more more JJR 39713 1882 14 generally generally RB 39713 1882 15 with with IN 39713 1882 16 small small JJ 39713 1882 17 variations variation NNS 39713 1882 18 , , , 39713 1882 19 which which WDT 39713 1882 20 obey obey VBP 39713 1882 21 the the DT 39713 1882 22 well well RB 39713 1882 23 - - HYPH 39713 1882 24 known know VBN 39713 1882 25 law law NN 39713 1882 26 of of IN 39713 1882 27 superposition superposition NN 39713 1882 28 . . . 39713 1883 1 The the DT 39713 1883 2 observed observed JJ 39713 1883 3 movement movement NN 39713 1883 4 will will MD 39713 1883 5 then then RB 39713 1883 6 be be VB 39713 1883 7 decomposed decompose VBN 39713 1883 8 into into IN 39713 1883 9 simple simple JJ 39713 1883 10 movements movement NNS 39713 1883 11 , , , 39713 1883 12 for for IN 39713 1883 13 example example NN 39713 1883 14 , , , 39713 1883 15 sound sound VB 39713 1883 16 into into IN 39713 1883 17 its -PRON- PRP$ 39713 1883 18 harmonics harmonic NNS 39713 1883 19 , , , 39713 1883 20 white white JJ 39713 1883 21 light light NN 39713 1883 22 into into IN 39713 1883 23 its -PRON- PRP$ 39713 1883 24 monochromatic monochromatic JJ 39713 1883 25 components component NNS 39713 1883 26 . . . 39713 1884 1 When when WRB 39713 1884 2 we -PRON- PRP 39713 1884 3 have have VBP 39713 1884 4 discovered discover VBN 39713 1884 5 in in IN 39713 1884 6 what what WDT 39713 1884 7 direction direction NN 39713 1884 8 it -PRON- PRP 39713 1884 9 is be VBZ 39713 1884 10 advisable advisable JJ 39713 1884 11 to to TO 39713 1884 12 look look VB 39713 1884 13 for for IN 39713 1884 14 the the DT 39713 1884 15 elementary elementary JJ 39713 1884 16 phenomenon phenomenon NN 39713 1884 17 , , , 39713 1884 18 by by IN 39713 1884 19 what what WDT 39713 1884 20 means mean NNS 39713 1884 21 can can MD 39713 1884 22 we -PRON- PRP 39713 1884 23 reach reach VB 39713 1884 24 it -PRON- PRP 39713 1884 25 ? ? . 39713 1885 1 First first RB 39713 1885 2 of of IN 39713 1885 3 all all DT 39713 1885 4 , , , 39713 1885 5 it -PRON- PRP 39713 1885 6 will will MD 39713 1885 7 often often RB 39713 1885 8 happen happen VB 39713 1885 9 that that IN 39713 1885 10 in in IN 39713 1885 11 order order NN 39713 1885 12 to to TO 39713 1885 13 detect detect VB 39713 1885 14 it -PRON- PRP 39713 1885 15 , , , 39713 1885 16 or or CC 39713 1885 17 rather rather RB 39713 1885 18 to to TO 39713 1885 19 detect detect VB 39713 1885 20 the the DT 39713 1885 21 part part NN 39713 1885 22 of of IN 39713 1885 23 it -PRON- PRP 39713 1885 24 useful useful JJ 39713 1885 25 to to IN 39713 1885 26 us -PRON- PRP 39713 1885 27 , , , 39713 1885 28 it -PRON- PRP 39713 1885 29 will will MD 39713 1885 30 not not RB 39713 1885 31 be be VB 39713 1885 32 necessary necessary JJ 39713 1885 33 to to TO 39713 1885 34 penetrate penetrate VB 39713 1885 35 the the DT 39713 1885 36 mechanism mechanism NN 39713 1885 37 ; ; : 39713 1885 38 the the DT 39713 1885 39 law law NN 39713 1885 40 of of IN 39713 1885 41 great great JJ 39713 1885 42 numbers number NNS 39713 1885 43 will will MD 39713 1885 44 suffice suffice VB 39713 1885 45 . . . 39713 1886 1 Let let VB 39713 1886 2 us -PRON- PRP 39713 1886 3 take take VB 39713 1886 4 again again RB 39713 1886 5 the the DT 39713 1886 6 instance instance NN 39713 1886 7 of of IN 39713 1886 8 the the DT 39713 1886 9 propagation propagation NN 39713 1886 10 of of IN 39713 1886 11 heat heat NN 39713 1886 12 . . . 39713 1887 1 Every every DT 39713 1887 2 molecule molecule NN 39713 1887 3 emits emit VBZ 39713 1887 4 rays ray NNS 39713 1887 5 toward toward IN 39713 1887 6 every every DT 39713 1887 7 neighboring neighboring NN 39713 1887 8 molecule molecule NN 39713 1887 9 . . . 39713 1888 1 According accord VBG 39713 1888 2 to to IN 39713 1888 3 what what WDT 39713 1888 4 law law NN 39713 1888 5 , , , 39713 1888 6 we -PRON- PRP 39713 1888 7 do do VBP 39713 1888 8 not not RB 39713 1888 9 need need VB 39713 1888 10 to to TO 39713 1888 11 know know VB 39713 1888 12 . . . 39713 1889 1 If if IN 39713 1889 2 we -PRON- PRP 39713 1889 3 should should MD 39713 1889 4 make make VB 39713 1889 5 any any DT 39713 1889 6 supposition supposition NN 39713 1889 7 in in IN 39713 1889 8 regard regard NN 39713 1889 9 to to IN 39713 1889 10 this this DT 39713 1889 11 , , , 39713 1889 12 it -PRON- PRP 39713 1889 13 would would MD 39713 1889 14 be be VB 39713 1889 15 a a DT 39713 1889 16 neutral neutral JJ 39713 1889 17 hypothesis hypothesis NN 39713 1889 18 and and CC 39713 1889 19 consequently consequently RB 39713 1889 20 useless useless JJ 39713 1889 21 and and CC 39713 1889 22 incapable incapable JJ 39713 1889 23 of of IN 39713 1889 24 verification verification NN 39713 1889 25 . . . 39713 1890 1 And and CC 39713 1890 2 , , , 39713 1890 3 in in IN 39713 1890 4 fact fact NN 39713 1890 5 , , , 39713 1890 6 by by IN 39713 1890 7 the the DT 39713 1890 8 action action NN 39713 1890 9 of of IN 39713 1890 10 averages average NNS 39713 1890 11 and and CC 39713 1890 12 thanks thank NNS 39713 1890 13 to to IN 39713 1890 14 the the DT 39713 1890 15 symmetry symmetry NN 39713 1890 16 of of IN 39713 1890 17 the the DT 39713 1890 18 medium medium NN 39713 1890 19 , , , 39713 1890 20 all all PDT 39713 1890 21 the the DT 39713 1890 22 differences difference NNS 39713 1890 23 are be VBP 39713 1890 24 leveled level VBN 39713 1890 25 down down RB 39713 1890 26 , , , 39713 1890 27 and and CC 39713 1890 28 whatever whatever WDT 39713 1890 29 hypothesis hypothesis NN 39713 1890 30 may may MD 39713 1890 31 be be VB 39713 1890 32 made make VBN 39713 1890 33 , , , 39713 1890 34 the the DT 39713 1890 35 result result NN 39713 1890 36 is be VBZ 39713 1890 37 always always RB 39713 1890 38 the the DT 39713 1890 39 same same JJ 39713 1890 40 . . . 39713 1891 1 The the DT 39713 1891 2 same same JJ 39713 1891 3 circumstance circumstance NN 39713 1891 4 is be VBZ 39713 1891 5 presented present VBN 39713 1891 6 in in IN 39713 1891 7 the the DT 39713 1891 8 theory theory NN 39713 1891 9 of of IN 39713 1891 10 electricity electricity NN 39713 1891 11 and and CC 39713 1891 12 in in IN 39713 1891 13 that that DT 39713 1891 14 of of IN 39713 1891 15 capillarity capillarity NN 39713 1891 16 . . . 39713 1892 1 The the DT 39713 1892 2 neighboring neighbor VBG 39713 1892 3 molecules molecule NNS 39713 1892 4 attract attract VBP 39713 1892 5 and and CC 39713 1892 6 repel repel VBP 39713 1892 7 one one CD 39713 1892 8 another another DT 39713 1892 9 . . . 39713 1893 1 We -PRON- PRP 39713 1893 2 do do VBP 39713 1893 3 not not RB 39713 1893 4 need need VB 39713 1893 5 to to TO 39713 1893 6 know know VB 39713 1893 7 according accord VBG 39713 1893 8 to to IN 39713 1893 9 what what WDT 39713 1893 10 law law NN 39713 1893 11 ; ; : 39713 1893 12 it -PRON- PRP 39713 1893 13 is be VBZ 39713 1893 14 enough enough JJ 39713 1893 15 for for IN 39713 1893 16 us -PRON- PRP 39713 1893 17 that that IN 39713 1893 18 this this DT 39713 1893 19 attraction attraction NN 39713 1893 20 is be VBZ 39713 1893 21 sensible sensible JJ 39713 1893 22 only only RB 39713 1893 23 at at IN 39713 1893 24 small small JJ 39713 1893 25 distances distance NNS 39713 1893 26 , , , 39713 1893 27 and and CC 39713 1893 28 that that IN 39713 1893 29 the the DT 39713 1893 30 molecules molecule NNS 39713 1893 31 are be VBP 39713 1893 32 very very RB 39713 1893 33 numerous numerous JJ 39713 1893 34 , , , 39713 1893 35 that that IN 39713 1893 36 the the DT 39713 1893 37 medium medium NN 39713 1893 38 is be VBZ 39713 1893 39 symmetrical symmetrical JJ 39713 1893 40 , , , 39713 1893 41 and and CC 39713 1893 42 we -PRON- PRP 39713 1893 43 shall shall MD 39713 1893 44 only only RB 39713 1893 45 have have VB 39713 1893 46 to to TO 39713 1893 47 let let VB 39713 1893 48 the the DT 39713 1893 49 law law NN 39713 1893 50 of of IN 39713 1893 51 great great JJ 39713 1893 52 numbers number NNS 39713 1893 53 act act NNP 39713 1893 54 . . . 39713 1894 1 Here here RB 39713 1894 2 again again RB 39713 1894 3 the the DT 39713 1894 4 simplicity simplicity NN 39713 1894 5 of of IN 39713 1894 6 the the DT 39713 1894 7 elementary elementary JJ 39713 1894 8 phenomenon phenomenon NN 39713 1894 9 was be VBD 39713 1894 10 hidden hide VBN 39713 1894 11 under under IN 39713 1894 12 the the DT 39713 1894 13 complexity complexity NN 39713 1894 14 of of IN 39713 1894 15 the the DT 39713 1894 16 resultant resultant JJ 39713 1894 17 observable observable JJ 39713 1894 18 phenomenon phenomenon NN 39713 1894 19 ; ; : 39713 1894 20 but but CC 39713 1894 21 , , , 39713 1894 22 in in IN 39713 1894 23 its -PRON- PRP$ 39713 1894 24 turn turn NN 39713 1894 25 , , , 39713 1894 26 this this DT 39713 1894 27 simplicity simplicity NN 39713 1894 28 was be VBD 39713 1894 29 only only RB 39713 1894 30 apparent apparent JJ 39713 1894 31 , , , 39713 1894 32 and and CC 39713 1894 33 concealed conceal VBD 39713 1894 34 a a DT 39713 1894 35 very very RB 39713 1894 36 complex complex JJ 39713 1894 37 mechanism mechanism NN 39713 1894 38 . . . 39713 1895 1 The the DT 39713 1895 2 best good JJS 39713 1895 3 means mean NNS 39713 1895 4 of of IN 39713 1895 5 arriving arrive VBG 39713 1895 6 at at IN 39713 1895 7 the the DT 39713 1895 8 elementary elementary JJ 39713 1895 9 phenomenon phenomenon NN 39713 1895 10 would would MD 39713 1895 11 evidently evidently RB 39713 1895 12 be be VB 39713 1895 13 experiment experiment NN 39713 1895 14 . . . 39713 1896 1 We -PRON- PRP 39713 1896 2 ought ought MD 39713 1896 3 by by IN 39713 1896 4 experimental experimental JJ 39713 1896 5 contrivance contrivance NN 39713 1896 6 to to TO 39713 1896 7 dissociate dissociate VB 39713 1896 8 the the DT 39713 1896 9 complex complex JJ 39713 1896 10 sheaf sheaf NN 39713 1896 11 that that IN 39713 1896 12 nature nature NN 39713 1896 13 offers offer VBZ 39713 1896 14 to to IN 39713 1896 15 our -PRON- PRP$ 39713 1896 16 researches research NNS 39713 1896 17 , , , 39713 1896 18 and and CC 39713 1896 19 to to TO 39713 1896 20 study study VB 39713 1896 21 with with IN 39713 1896 22 care care NN 39713 1896 23 the the DT 39713 1896 24 elements element NNS 39713 1896 25 as as RB 39713 1896 26 much much RB 39713 1896 27 isolated isolate VBN 39713 1896 28 as as IN 39713 1896 29 possible possible JJ 39713 1896 30 . . . 39713 1897 1 For for IN 39713 1897 2 example example NN 39713 1897 3 , , , 39713 1897 4 natural natural JJ 39713 1897 5 white white JJ 39713 1897 6 light light NN 39713 1897 7 would would MD 39713 1897 8 be be VB 39713 1897 9 decomposed decompose VBN 39713 1897 10 into into IN 39713 1897 11 monochromatic monochromatic JJ 39713 1897 12 lights light NNS 39713 1897 13 by by IN 39713 1897 14 the the DT 39713 1897 15 aid aid NN 39713 1897 16 of of IN 39713 1897 17 the the DT 39713 1897 18 prism prism NN 39713 1897 19 , , , 39713 1897 20 and and CC 39713 1897 21 into into IN 39713 1897 22 polarized polarize VBN 39713 1897 23 light light NN 39713 1897 24 by by IN 39713 1897 25 the the DT 39713 1897 26 aid aid NN 39713 1897 27 of of IN 39713 1897 28 the the DT 39713 1897 29 polarizer polarizer NN 39713 1897 30 . . . 39713 1898 1 Unfortunately unfortunately RB 39713 1898 2 that that DT 39713 1898 3 is be VBZ 39713 1898 4 neither neither DT 39713 1898 5 always always RB 39713 1898 6 possible possible JJ 39713 1898 7 nor nor CC 39713 1898 8 always always RB 39713 1898 9 sufficient sufficient JJ 39713 1898 10 , , , 39713 1898 11 and and CC 39713 1898 12 sometimes sometimes RB 39713 1898 13 the the DT 39713 1898 14 mind mind NN 39713 1898 15 must must MD 39713 1898 16 outstrip outstrip NN 39713 1898 17 experiment experiment NN 39713 1898 18 . . . 39713 1899 1 I -PRON- PRP 39713 1899 2 shall shall MD 39713 1899 3 cite cite VB 39713 1899 4 only only RB 39713 1899 5 one one CD 39713 1899 6 example example NN 39713 1899 7 , , , 39713 1899 8 which which WDT 39713 1899 9 has have VBZ 39713 1899 10 always always RB 39713 1899 11 struck strike VBN 39713 1899 12 me -PRON- PRP 39713 1899 13 forcibly forcibly RB 39713 1899 14 . . . 39713 1900 1 If if IN 39713 1900 2 I -PRON- PRP 39713 1900 3 decompose decompose VBP 39713 1900 4 white white JJ 39713 1900 5 light light NN 39713 1900 6 , , , 39713 1900 7 I -PRON- PRP 39713 1900 8 shall shall MD 39713 1900 9 be be VB 39713 1900 10 able able JJ 39713 1900 11 to to TO 39713 1900 12 isolate isolate VB 39713 1900 13 a a DT 39713 1900 14 small small JJ 39713 1900 15 part part NN 39713 1900 16 of of IN 39713 1900 17 the the DT 39713 1900 18 spectrum spectrum NN 39713 1900 19 , , , 39713 1900 20 but but CC 39713 1900 21 however however RB 39713 1900 22 small small JJ 39713 1900 23 it -PRON- PRP 39713 1900 24 may may MD 39713 1900 25 be be VB 39713 1900 26 , , , 39713 1900 27 it -PRON- PRP 39713 1900 28 will will MD 39713 1900 29 retain retain VB 39713 1900 30 a a DT 39713 1900 31 certain certain JJ 39713 1900 32 breadth breadth NN 39713 1900 33 . . . 39713 1901 1 Likewise likewise RB 39713 1901 2 the the DT 39713 1901 3 natural natural JJ 39713 1901 4 lights light NNS 39713 1901 5 , , , 39713 1901 6 called call VBD 39713 1901 7 _ _ NNP 39713 1901 8 monochromatic monochromatic JJ 39713 1901 9 _ _ NNP 39713 1901 10 , , , 39713 1901 11 give give VB 39713 1901 12 us -PRON- PRP 39713 1901 13 a a DT 39713 1901 14 very very RB 39713 1901 15 narrow narrow JJ 39713 1901 16 line line NN 39713 1901 17 , , , 39713 1901 18 but but CC 39713 1901 19 not not RB 39713 1901 20 , , , 39713 1901 21 however however RB 39713 1901 22 , , , 39713 1901 23 infinitely infinitely RB 39713 1901 24 narrow narrow JJ 39713 1901 25 . . . 39713 1902 1 It -PRON- PRP 39713 1902 2 might may MD 39713 1902 3 be be VB 39713 1902 4 supposed suppose VBN 39713 1902 5 that that IN 39713 1902 6 by by IN 39713 1902 7 studying study VBG 39713 1902 8 experimentally experimentally RB 39713 1902 9 the the DT 39713 1902 10 properties property NNS 39713 1902 11 of of IN 39713 1902 12 these these DT 39713 1902 13 natural natural JJ 39713 1902 14 lights light NNS 39713 1902 15 , , , 39713 1902 16 by by IN 39713 1902 17 working work VBG 39713 1902 18 with with IN 39713 1902 19 finer finer NNP 39713 1902 20 and and CC 39713 1902 21 finer finer NN 39713 1902 22 lines line NNS 39713 1902 23 of of IN 39713 1902 24 the the DT 39713 1902 25 spectrum spectrum NN 39713 1902 26 , , , 39713 1902 27 and and CC 39713 1902 28 by by IN 39713 1902 29 passing pass VBG 39713 1902 30 at at IN 39713 1902 31 last last RB 39713 1902 32 to to IN 39713 1902 33 the the DT 39713 1902 34 limit limit NN 39713 1902 35 , , , 39713 1902 36 so so RB 39713 1902 37 to to TO 39713 1902 38 speak speak VB 39713 1902 39 , , , 39713 1902 40 we -PRON- PRP 39713 1902 41 should should MD 39713 1902 42 succeed succeed VB 39713 1902 43 in in IN 39713 1902 44 learning learn VBG 39713 1902 45 the the DT 39713 1902 46 properties property NNS 39713 1902 47 of of IN 39713 1902 48 a a DT 39713 1902 49 light light NN 39713 1902 50 strictly strictly RB 39713 1902 51 monochromatic monochromatic JJ 39713 1902 52 . . . 39713 1903 1 That that DT 39713 1903 2 would would MD 39713 1903 3 not not RB 39713 1903 4 be be VB 39713 1903 5 accurate accurate JJ 39713 1903 6 . . . 39713 1904 1 Suppose suppose VB 39713 1904 2 that that IN 39713 1904 3 two two CD 39713 1904 4 rays ray NNS 39713 1904 5 emanate emanate VBP 39713 1904 6 from from IN 39713 1904 7 the the DT 39713 1904 8 same same JJ 39713 1904 9 source source NN 39713 1904 10 , , , 39713 1904 11 that that IN 39713 1904 12 we -PRON- PRP 39713 1904 13 polarize polarize VBP 39713 1904 14 them -PRON- PRP 39713 1904 15 first first RB 39713 1904 16 in in IN 39713 1904 17 two two CD 39713 1904 18 perpendicular perpendicular JJ 39713 1904 19 planes plane NNS 39713 1904 20 , , , 39713 1904 21 then then RB 39713 1904 22 bring bring VB 39713 1904 23 them -PRON- PRP 39713 1904 24 back back RB 39713 1904 25 to to IN 39713 1904 26 the the DT 39713 1904 27 same same JJ 39713 1904 28 plane plane NN 39713 1904 29 of of IN 39713 1904 30 polarization polarization NN 39713 1904 31 , , , 39713 1904 32 and and CC 39713 1904 33 try try VB 39713 1904 34 to to TO 39713 1904 35 make make VB 39713 1904 36 them -PRON- PRP 39713 1904 37 interfere interfere VB 39713 1904 38 . . . 39713 1905 1 If if IN 39713 1905 2 the the DT 39713 1905 3 light light NN 39713 1905 4 were be VBD 39713 1905 5 _ _ NNP 39713 1905 6 strictly strictly RB 39713 1905 7 _ _ NNP 39713 1905 8 monochromatic monochromatic JJ 39713 1905 9 , , , 39713 1905 10 they -PRON- PRP 39713 1905 11 would would MD 39713 1905 12 interfere interfere VB 39713 1905 13 . . . 39713 1906 1 With with IN 39713 1906 2 our -PRON- PRP$ 39713 1906 3 lights light NNS 39713 1906 4 , , , 39713 1906 5 which which WDT 39713 1906 6 are be VBP 39713 1906 7 nearly nearly RB 39713 1906 8 monochromatic monochromatic JJ 39713 1906 9 , , , 39713 1906 10 there there EX 39713 1906 11 will will MD 39713 1906 12 be be VB 39713 1906 13 no no DT 39713 1906 14 interference interference NN 39713 1906 15 , , , 39713 1906 16 and and CC 39713 1906 17 that that IN 39713 1906 18 no no RB 39713 1906 19 matter matter RB 39713 1906 20 how how WRB 39713 1906 21 narrow narrow JJ 39713 1906 22 the the DT 39713 1906 23 line line NN 39713 1906 24 . . . 39713 1907 1 In in IN 39713 1907 2 order order NN 39713 1907 3 to to TO 39713 1907 4 be be VB 39713 1907 5 otherwise otherwise RB 39713 1907 6 it -PRON- PRP 39713 1907 7 would would MD 39713 1907 8 have have VB 39713 1907 9 to to TO 39713 1907 10 be be VB 39713 1907 11 several several JJ 39713 1907 12 million million CD 39713 1907 13 times time NNS 39713 1907 14 as as RB 39713 1907 15 narrow narrow JJ 39713 1907 16 as as IN 39713 1907 17 the the DT 39713 1907 18 finest fine JJS 39713 1907 19 known know VBN 39713 1907 20 lines line NNS 39713 1907 21 . . . 39713 1908 1 Here here RB 39713 1908 2 , , , 39713 1908 3 then then RB 39713 1908 4 , , , 39713 1908 5 the the DT 39713 1908 6 passage passage NN 39713 1908 7 to to IN 39713 1908 8 the the DT 39713 1908 9 limit limit NN 39713 1908 10 would would MD 39713 1908 11 have have VB 39713 1908 12 deceived deceive VBN 39713 1908 13 us -PRON- PRP 39713 1908 14 . . . 39713 1909 1 The the DT 39713 1909 2 mind mind NN 39713 1909 3 must must MD 39713 1909 4 outstrip outstrip VB 39713 1909 5 the the DT 39713 1909 6 experiment experiment NN 39713 1909 7 , , , 39713 1909 8 and and CC 39713 1909 9 if if IN 39713 1909 10 it -PRON- PRP 39713 1909 11 has have VBZ 39713 1909 12 done do VBN 39713 1909 13 so so RB 39713 1909 14 with with IN 39713 1909 15 success success NN 39713 1909 16 , , , 39713 1909 17 it -PRON- PRP 39713 1909 18 is be VBZ 39713 1909 19 because because IN 39713 1909 20 it -PRON- PRP 39713 1909 21 has have VBZ 39713 1909 22 allowed allow VBN 39713 1909 23 itself -PRON- PRP 39713 1909 24 to to TO 39713 1909 25 be be VB 39713 1909 26 guided guide VBN 39713 1909 27 by by IN 39713 1909 28 the the DT 39713 1909 29 instinct instinct NN 39713 1909 30 of of IN 39713 1909 31 simplicity simplicity NN 39713 1909 32 . . . 39713 1910 1 The the DT 39713 1910 2 knowledge knowledge NN 39713 1910 3 of of IN 39713 1910 4 the the DT 39713 1910 5 elementary elementary JJ 39713 1910 6 fact fact NN 39713 1910 7 enables enable VBZ 39713 1910 8 us -PRON- PRP 39713 1910 9 to to TO 39713 1910 10 put put VB 39713 1910 11 the the DT 39713 1910 12 problem problem NN 39713 1910 13 in in IN 39713 1910 14 an an DT 39713 1910 15 equation equation NN 39713 1910 16 . . . 39713 1911 1 Nothing nothing NN 39713 1911 2 remains remain VBZ 39713 1911 3 but but CC 39713 1911 4 to to TO 39713 1911 5 deduce deduce VB 39713 1911 6 from from IN 39713 1911 7 this this DT 39713 1911 8 by by IN 39713 1911 9 combination combination NN 39713 1911 10 the the DT 39713 1911 11 complex complex JJ 39713 1911 12 fact fact NN 39713 1911 13 that that WDT 39713 1911 14 can can MD 39713 1911 15 be be VB 39713 1911 16 observed observe VBN 39713 1911 17 and and CC 39713 1911 18 verified verify VBN 39713 1911 19 . . . 39713 1912 1 This this DT 39713 1912 2 is be VBZ 39713 1912 3 what what WP 39713 1912 4 is be VBZ 39713 1912 5 called call VBN 39713 1912 6 _ _ NNP 39713 1912 7 integration integration NN 39713 1912 8 _ _ NNP 39713 1912 9 , , , 39713 1912 10 and and CC 39713 1912 11 is be VBZ 39713 1912 12 the the DT 39713 1912 13 business business NN 39713 1912 14 of of IN 39713 1912 15 the the DT 39713 1912 16 mathematician mathematician NN 39713 1912 17 . . . 39713 1913 1 It -PRON- PRP 39713 1913 2 may may MD 39713 1913 3 be be VB 39713 1913 4 asked ask VBN 39713 1913 5 why why WRB 39713 1913 6 , , , 39713 1913 7 in in IN 39713 1913 8 physical physical JJ 39713 1913 9 sciences science NNS 39713 1913 10 , , , 39713 1913 11 generalization generalization NN 39713 1913 12 so so RB 39713 1913 13 readily readily RB 39713 1913 14 takes take VBZ 39713 1913 15 the the DT 39713 1913 16 mathematical mathematical JJ 39713 1913 17 form form NN 39713 1913 18 . . . 39713 1914 1 The the DT 39713 1914 2 reason reason NN 39713 1914 3 is be VBZ 39713 1914 4 now now RB 39713 1914 5 easy easy JJ 39713 1914 6 to to TO 39713 1914 7 see see VB 39713 1914 8 . . . 39713 1915 1 It -PRON- PRP 39713 1915 2 is be VBZ 39713 1915 3 not not RB 39713 1915 4 only only RB 39713 1915 5 because because IN 39713 1915 6 we -PRON- PRP 39713 1915 7 have have VBP 39713 1915 8 numerical numerical JJ 39713 1915 9 laws law NNS 39713 1915 10 to to TO 39713 1915 11 express express VB 39713 1915 12 ; ; : 39713 1915 13 it -PRON- PRP 39713 1915 14 is be VBZ 39713 1915 15 because because IN 39713 1915 16 the the DT 39713 1915 17 observable observable JJ 39713 1915 18 phenomenon phenomenon NN 39713 1915 19 is be VBZ 39713 1915 20 due due JJ 39713 1915 21 to to IN 39713 1915 22 the the DT 39713 1915 23 superposition superposition NN 39713 1915 24 of of IN 39713 1915 25 a a DT 39713 1915 26 great great JJ 39713 1915 27 number number NN 39713 1915 28 of of IN 39713 1915 29 elementary elementary JJ 39713 1915 30 phenomena phenomenon NNS 39713 1915 31 _ _ NNP 39713 1915 32 all all RB 39713 1915 33 alike alike RB 39713 1915 34 _ _ NNP 39713 1915 35 . . . 39713 1916 1 Thus thus RB 39713 1916 2 quite quite RB 39713 1916 3 naturally naturally RB 39713 1916 4 are be VBP 39713 1916 5 introduced introduce VBN 39713 1916 6 differential differential JJ 39713 1916 7 equations equation NNS 39713 1916 8 . . . 39713 1917 1 It -PRON- PRP 39713 1917 2 is be VBZ 39713 1917 3 not not RB 39713 1917 4 enough enough JJ 39713 1917 5 that that IN 39713 1917 6 each each DT 39713 1917 7 elementary elementary JJ 39713 1917 8 phenomenon phenomenon NN 39713 1917 9 obeys obey VBZ 39713 1917 10 simple simple JJ 39713 1917 11 laws law NNS 39713 1917 12 ; ; : 39713 1917 13 all all PDT 39713 1917 14 those those DT 39713 1917 15 to to TO 39713 1917 16 be be VB 39713 1917 17 combined combine VBN 39713 1917 18 must must MD 39713 1917 19 obey obey VB 39713 1917 20 the the DT 39713 1917 21 same same JJ 39713 1917 22 law law NN 39713 1917 23 . . . 39713 1918 1 Then then RB 39713 1918 2 only only RB 39713 1918 3 can can MD 39713 1918 4 the the DT 39713 1918 5 intervention intervention NN 39713 1918 6 of of IN 39713 1918 7 mathematics mathematic NNS 39713 1918 8 be be VB 39713 1918 9 of of IN 39713 1918 10 use use NN 39713 1918 11 ; ; : 39713 1918 12 mathematics mathematic NNS 39713 1918 13 teaches teach VBZ 39713 1918 14 us -PRON- PRP 39713 1918 15 in in IN 39713 1918 16 fact fact NN 39713 1918 17 to to TO 39713 1918 18 combine combine VB 39713 1918 19 like like UH 39713 1918 20 with with IN 39713 1918 21 like like UH 39713 1918 22 . . . 39713 1919 1 Its -PRON- PRP$ 39713 1919 2 aim aim NN 39713 1919 3 is be VBZ 39713 1919 4 to to TO 39713 1919 5 learn learn VB 39713 1919 6 the the DT 39713 1919 7 result result NN 39713 1919 8 of of IN 39713 1919 9 a a DT 39713 1919 10 combination combination NN 39713 1919 11 without without IN 39713 1919 12 needing need VBG 39713 1919 13 to to TO 39713 1919 14 go go VB 39713 1919 15 over over IN 39713 1919 16 the the DT 39713 1919 17 combination combination NN 39713 1919 18 piece piece NN 39713 1919 19 by by IN 39713 1919 20 piece piece NN 39713 1919 21 . . . 39713 1920 1 If if IN 39713 1920 2 we -PRON- PRP 39713 1920 3 have have VBP 39713 1920 4 to to TO 39713 1920 5 repeat repeat VB 39713 1920 6 several several JJ 39713 1920 7 times time NNS 39713 1920 8 the the DT 39713 1920 9 same same JJ 39713 1920 10 operation operation NN 39713 1920 11 , , , 39713 1920 12 it -PRON- PRP 39713 1920 13 enables enable VBZ 39713 1920 14 us -PRON- PRP 39713 1920 15 to to TO 39713 1920 16 avoid avoid VB 39713 1920 17 this this DT 39713 1920 18 repetition repetition NN 39713 1920 19 by by IN 39713 1920 20 telling tell VBG 39713 1920 21 us -PRON- PRP 39713 1920 22 in in IN 39713 1920 23 advance advance NN 39713 1920 24 the the DT 39713 1920 25 result result NN 39713 1920 26 of of IN 39713 1920 27 it -PRON- PRP 39713 1920 28 by by IN 39713 1920 29 a a DT 39713 1920 30 sort sort NN 39713 1920 31 of of IN 39713 1920 32 induction induction NN 39713 1920 33 . . . 39713 1921 1 I -PRON- PRP 39713 1921 2 have have VBP 39713 1921 3 explained explain VBN 39713 1921 4 this this DT 39713 1921 5 above above RB 39713 1921 6 , , , 39713 1921 7 in in IN 39713 1921 8 the the DT 39713 1921 9 chapter chapter NN 39713 1921 10 on on IN 39713 1921 11 mathematical mathematical JJ 39713 1921 12 reasoning reasoning NN 39713 1921 13 . . . 39713 1922 1 But but CC 39713 1922 2 for for IN 39713 1922 3 this this DT 39713 1922 4 , , , 39713 1922 5 all all PDT 39713 1922 6 the the DT 39713 1922 7 operations operation NNS 39713 1922 8 must must MD 39713 1922 9 be be VB 39713 1922 10 alike alike RB 39713 1922 11 . . . 39713 1923 1 In in IN 39713 1923 2 the the DT 39713 1923 3 opposite opposite JJ 39713 1923 4 case case NN 39713 1923 5 , , , 39713 1923 6 it -PRON- PRP 39713 1923 7 would would MD 39713 1923 8 evidently evidently RB 39713 1923 9 be be VB 39713 1923 10 necessary necessary JJ 39713 1923 11 to to TO 39713 1923 12 resign resign VB 39713 1923 13 ourselves -PRON- PRP 39713 1923 14 to to IN 39713 1923 15 doing do VBG 39713 1923 16 them -PRON- PRP 39713 1923 17 in in IN 39713 1923 18 reality reality NN 39713 1923 19 one one CD 39713 1923 20 after after IN 39713 1923 21 another another DT 39713 1923 22 , , , 39713 1923 23 and and CC 39713 1923 24 mathematics mathematic NNS 39713 1923 25 would would MD 39713 1923 26 become become VB 39713 1923 27 useless useless JJ 39713 1923 28 . . . 39713 1924 1 It -PRON- PRP 39713 1924 2 is be VBZ 39713 1924 3 then then RB 39713 1924 4 thanks thank NNS 39713 1924 5 to to IN 39713 1924 6 the the DT 39713 1924 7 approximate approximate JJ 39713 1924 8 homogeneity homogeneity NN 39713 1924 9 of of IN 39713 1924 10 the the DT 39713 1924 11 matter matter NN 39713 1924 12 studied study VBN 39713 1924 13 by by IN 39713 1924 14 physicists physicist NNS 39713 1924 15 that that WDT 39713 1924 16 mathematical mathematical JJ 39713 1924 17 physics physics NN 39713 1924 18 could could MD 39713 1924 19 be be VB 39713 1924 20 born bear VBN 39713 1924 21 . . . 39713 1925 1 In in IN 39713 1925 2 the the DT 39713 1925 3 natural natural JJ 39713 1925 4 sciences science NNS 39713 1925 5 , , , 39713 1925 6 we -PRON- PRP 39713 1925 7 no no RB 39713 1925 8 longer longer RB 39713 1925 9 find find VBP 39713 1925 10 these these DT 39713 1925 11 conditions condition NNS 39713 1925 12 : : : 39713 1925 13 homogeneity homogeneity NN 39713 1925 14 , , , 39713 1925 15 relative relative JJ 39713 1925 16 independence independence NN 39713 1925 17 of of IN 39713 1925 18 remote remote JJ 39713 1925 19 parts part NNS 39713 1925 20 , , , 39713 1925 21 simplicity simplicity NN 39713 1925 22 of of IN 39713 1925 23 the the DT 39713 1925 24 elementary elementary JJ 39713 1925 25 fact fact NN 39713 1925 26 ; ; : 39713 1925 27 and and CC 39713 1925 28 this this DT 39713 1925 29 is be VBZ 39713 1925 30 why why WRB 39713 1925 31 naturalists naturalist NNS 39713 1925 32 are be VBP 39713 1925 33 obliged oblige VBN 39713 1925 34 to to TO 39713 1925 35 resort resort VB 39713 1925 36 to to IN 39713 1925 37 other other JJ 39713 1925 38 methods method NNS 39713 1925 39 of of IN 39713 1925 40 generalization generalization NN 39713 1925 41 . . . 39713 1926 1 CHAPTER chapter NN 39713 1926 2 X X NNP 39713 1926 3 THE the DT 39713 1926 4 THEORIES theory NNS 39713 1926 5 OF of IN 39713 1926 6 MODERN modern JJ 39713 1926 7 PHYSICS physics NN 39713 1926 8 MEANING MEANING NNS 39713 1926 9 OF of IN 39713 1926 10 PHYSICAL physical NN 39713 1926 11 THEORIES.--The theories.--the NN 39713 1926 12 laity laity NN 39713 1926 13 are be VBP 39713 1926 14 struck strike VBN 39713 1926 15 to to TO 39713 1926 16 see see VB 39713 1926 17 how how WRB 39713 1926 18 ephemeral ephemeral JJ 39713 1926 19 scientific scientific JJ 39713 1926 20 theories theory NNS 39713 1926 21 are be VBP 39713 1926 22 . . . 39713 1927 1 After after IN 39713 1927 2 some some DT 39713 1927 3 years year NNS 39713 1927 4 of of IN 39713 1927 5 prosperity prosperity NN 39713 1927 6 , , , 39713 1927 7 they -PRON- PRP 39713 1927 8 see see VBP 39713 1927 9 them -PRON- PRP 39713 1927 10 successively successively RB 39713 1927 11 abandoned abandon VBN 39713 1927 12 ; ; : 39713 1927 13 they -PRON- PRP 39713 1927 14 see see VBP 39713 1927 15 ruins ruin VBZ 39713 1927 16 accumulate accumulate VBP 39713 1927 17 upon upon IN 39713 1927 18 ruins ruin NNS 39713 1927 19 ; ; : 39713 1927 20 they -PRON- PRP 39713 1927 21 foresee foresee VBP 39713 1927 22 that that IN 39713 1927 23 the the DT 39713 1927 24 theories theory NNS 39713 1927 25 fashionable fashionable JJ 39713 1927 26 to to IN 39713 1927 27 - - HYPH 39713 1927 28 day day NN 39713 1927 29 will will MD 39713 1927 30 shortly shortly RB 39713 1927 31 succumb succumb VB 39713 1927 32 in in IN 39713 1927 33 their -PRON- PRP$ 39713 1927 34 turn turn NN 39713 1927 35 and and CC 39713 1927 36 hence hence RB 39713 1927 37 they -PRON- PRP 39713 1927 38 conclude conclude VBP 39713 1927 39 that that IN 39713 1927 40 these these DT 39713 1927 41 are be VBP 39713 1927 42 absolutely absolutely RB 39713 1927 43 idle idle JJ 39713 1927 44 . . . 39713 1928 1 This this DT 39713 1928 2 is be VBZ 39713 1928 3 what what WP 39713 1928 4 they -PRON- PRP 39713 1928 5 call call VBP 39713 1928 6 the the DT 39713 1928 7 _ _ NNP 39713 1928 8 bankruptcy bankruptcy NN 39713 1928 9 of of IN 39713 1928 10 science science NNP 39713 1928 11 _ _ NNP 39713 1928 12 . . . 39713 1929 1 Their -PRON- PRP$ 39713 1929 2 skepticism skepticism NN 39713 1929 3 is be VBZ 39713 1929 4 superficial superficial JJ 39713 1929 5 ; ; : 39713 1929 6 they -PRON- PRP 39713 1929 7 give give VBP 39713 1929 8 no no DT 39713 1929 9 account account NN 39713 1929 10 to to IN 39713 1929 11 themselves -PRON- PRP 39713 1929 12 of of IN 39713 1929 13 the the DT 39713 1929 14 aim aim NN 39713 1929 15 and and CC 39713 1929 16 the the DT 39713 1929 17 rôle rôle NN 39713 1929 18 of of IN 39713 1929 19 scientific scientific JJ 39713 1929 20 theories theory NNS 39713 1929 21 ; ; : 39713 1929 22 otherwise otherwise RB 39713 1929 23 they -PRON- PRP 39713 1929 24 would would MD 39713 1929 25 comprehend comprehend VB 39713 1929 26 that that IN 39713 1929 27 the the DT 39713 1929 28 ruins ruin NNS 39713 1929 29 may may MD 39713 1929 30 still still RB 39713 1929 31 be be VB 39713 1929 32 good good JJ 39713 1929 33 for for IN 39713 1929 34 something something NN 39713 1929 35 . . . 39713 1930 1 No no DT 39713 1930 2 theory theory NN 39713 1930 3 seemed seem VBD 39713 1930 4 more more RBR 39713 1930 5 solid solid JJ 39713 1930 6 than than IN 39713 1930 7 that that DT 39713 1930 8 of of IN 39713 1930 9 Fresnel Fresnel NNP 39713 1930 10 which which WDT 39713 1930 11 attributed attribute VBD 39713 1930 12 light light NN 39713 1930 13 to to IN 39713 1930 14 motions motion NNS 39713 1930 15 of of IN 39713 1930 16 the the DT 39713 1930 17 ether ether NN 39713 1930 18 . . . 39713 1931 1 Yet yet RB 39713 1931 2 now now RB 39713 1931 3 Maxwell Maxwell NNP 39713 1931 4 's 's POS 39713 1931 5 is be VBZ 39713 1931 6 preferred prefer VBN 39713 1931 7 . . . 39713 1932 1 Does do VBZ 39713 1932 2 this this DT 39713 1932 3 mean mean VB 39713 1932 4 the the DT 39713 1932 5 work work NN 39713 1932 6 of of IN 39713 1932 7 Fresnel Fresnel NNP 39713 1932 8 was be VBD 39713 1932 9 in in IN 39713 1932 10 vain vain JJ 39713 1932 11 ? ? . 39713 1933 1 No no UH 39713 1933 2 , , , 39713 1933 3 because because IN 39713 1933 4 the the DT 39713 1933 5 aim aim NN 39713 1933 6 of of IN 39713 1933 7 Fresnel Fresnel NNP 39713 1933 8 was be VBD 39713 1933 9 not not RB 39713 1933 10 to to TO 39713 1933 11 find find VB 39713 1933 12 out out RP 39713 1933 13 whether whether IN 39713 1933 14 there there EX 39713 1933 15 is be VBZ 39713 1933 16 really really RB 39713 1933 17 an an DT 39713 1933 18 ether ether NN 39713 1933 19 , , , 39713 1933 20 whether whether IN 39713 1933 21 it -PRON- PRP 39713 1933 22 is be VBZ 39713 1933 23 or or CC 39713 1933 24 is be VBZ 39713 1933 25 not not RB 39713 1933 26 formed form VBN 39713 1933 27 of of IN 39713 1933 28 atoms atom NNS 39713 1933 29 , , , 39713 1933 30 whether whether IN 39713 1933 31 these these DT 39713 1933 32 atoms atom NNS 39713 1933 33 really really RB 39713 1933 34 move move VBP 39713 1933 35 in in IN 39713 1933 36 this this DT 39713 1933 37 or or CC 39713 1933 38 that that DT 39713 1933 39 sense sense NN 39713 1933 40 ; ; : 39713 1933 41 his -PRON- PRP$ 39713 1933 42 object object NN 39713 1933 43 was be VBD 39713 1933 44 to to TO 39713 1933 45 foresee foresee VB 39713 1933 46 optical optical JJ 39713 1933 47 phenomena phenomenon NNS 39713 1933 48 . . . 39713 1934 1 Now now RB 39713 1934 2 , , , 39713 1934 3 Fresnel Fresnel NNP 39713 1934 4 's 's POS 39713 1934 5 theory theory NN 39713 1934 6 always always RB 39713 1934 7 permits permit VBZ 39713 1934 8 of of IN 39713 1934 9 this this DT 39713 1934 10 , , , 39713 1934 11 to to IN 39713 1934 12 - - HYPH 39713 1934 13 day day NN 39713 1934 14 as as RB 39713 1934 15 well well RB 39713 1934 16 as as IN 39713 1934 17 before before IN 39713 1934 18 Maxwell Maxwell NNP 39713 1934 19 . . . 39713 1935 1 The the DT 39713 1935 2 differential differential NN 39713 1935 3 equations equation NNS 39713 1935 4 are be VBP 39713 1935 5 always always RB 39713 1935 6 true true JJ 39713 1935 7 ; ; : 39713 1935 8 they -PRON- PRP 39713 1935 9 can can MD 39713 1935 10 always always RB 39713 1935 11 be be VB 39713 1935 12 integrated integrate VBN 39713 1935 13 by by IN 39713 1935 14 the the DT 39713 1935 15 same same JJ 39713 1935 16 procedures procedure NNS 39713 1935 17 and and CC 39713 1935 18 the the DT 39713 1935 19 results result NNS 39713 1935 20 of of IN 39713 1935 21 this this DT 39713 1935 22 integration integration NN 39713 1935 23 always always RB 39713 1935 24 retain retain VBP 39713 1935 25 their -PRON- PRP$ 39713 1935 26 value value NN 39713 1935 27 . . . 39713 1936 1 And and CC 39713 1936 2 let let VB 39713 1936 3 no no DT 39713 1936 4 one one NN 39713 1936 5 say say VB 39713 1936 6 that that IN 39713 1936 7 thus thus RB 39713 1936 8 we -PRON- PRP 39713 1936 9 reduce reduce VBP 39713 1936 10 physical physical JJ 39713 1936 11 theories theory NNS 39713 1936 12 to to IN 39713 1936 13 the the DT 39713 1936 14 rôle rôle NN 39713 1936 15 of of IN 39713 1936 16 mere mere JJ 39713 1936 17 practical practical JJ 39713 1936 18 recipes recipe NNS 39713 1936 19 ; ; : 39713 1936 20 these these DT 39713 1936 21 equations equation NNS 39713 1936 22 express express VBP 39713 1936 23 relations relation NNS 39713 1936 24 , , , 39713 1936 25 and and CC 39713 1936 26 if if IN 39713 1936 27 the the DT 39713 1936 28 equations equation NNS 39713 1936 29 remain remain VBP 39713 1936 30 true true JJ 39713 1936 31 it -PRON- PRP 39713 1936 32 is be VBZ 39713 1936 33 because because IN 39713 1936 34 these these DT 39713 1936 35 relations relation NNS 39713 1936 36 preserve preserve VBP 39713 1936 37 their -PRON- PRP$ 39713 1936 38 reality reality NN 39713 1936 39 . . . 39713 1937 1 They -PRON- PRP 39713 1937 2 teach teach VBP 39713 1937 3 us -PRON- PRP 39713 1937 4 , , , 39713 1937 5 now now RB 39713 1937 6 as as IN 39713 1937 7 then then RB 39713 1937 8 , , , 39713 1937 9 that that IN 39713 1937 10 there there EX 39713 1937 11 is be VBZ 39713 1937 12 such such JJ 39713 1937 13 and and CC 39713 1937 14 such such JJ 39713 1937 15 a a DT 39713 1937 16 relation relation NN 39713 1937 17 between between IN 39713 1937 18 some some DT 39713 1937 19 thing thing NN 39713 1937 20 and and CC 39713 1937 21 some some DT 39713 1937 22 other other JJ 39713 1937 23 thing thing NN 39713 1937 24 ; ; : 39713 1937 25 only only RB 39713 1937 26 this this DT 39713 1937 27 something something NN 39713 1937 28 formerly formerly RB 39713 1937 29 we -PRON- PRP 39713 1937 30 called call VBD 39713 1937 31 _ _ NNP 39713 1937 32 motion motion NN 39713 1937 33 _ _ NNP 39713 1937 34 ; ; : 39713 1937 35 we -PRON- PRP 39713 1937 36 now now RB 39713 1937 37 call call VBP 39713 1937 38 it -PRON- PRP 39713 1937 39 _ _ NNP 39713 1937 40 electric electric JJ 39713 1937 41 current current JJ 39713 1937 42 _ _ NNP 39713 1937 43 . . . 39713 1938 1 But but CC 39713 1938 2 these these DT 39713 1938 3 appellations appellation NNS 39713 1938 4 were be VBD 39713 1938 5 only only RB 39713 1938 6 images image NNS 39713 1938 7 substituted substitute VBN 39713 1938 8 for for IN 39713 1938 9 the the DT 39713 1938 10 real real JJ 39713 1938 11 objects object NNS 39713 1938 12 which which WDT 39713 1938 13 nature nature NN 39713 1938 14 will will MD 39713 1938 15 eternally eternally RB 39713 1938 16 hide hide VB 39713 1938 17 from from IN 39713 1938 18 us -PRON- PRP 39713 1938 19 . . . 39713 1939 1 The the DT 39713 1939 2 true true JJ 39713 1939 3 relations relation NNS 39713 1939 4 between between IN 39713 1939 5 these these DT 39713 1939 6 real real JJ 39713 1939 7 objects object NNS 39713 1939 8 are be VBP 39713 1939 9 the the DT 39713 1939 10 only only JJ 39713 1939 11 reality reality NN 39713 1939 12 we -PRON- PRP 39713 1939 13 can can MD 39713 1939 14 attain attain VB 39713 1939 15 to to IN 39713 1939 16 , , , 39713 1939 17 and and CC 39713 1939 18 the the DT 39713 1939 19 only only JJ 39713 1939 20 condition condition NN 39713 1939 21 is be VBZ 39713 1939 22 that that IN 39713 1939 23 the the DT 39713 1939 24 same same JJ 39713 1939 25 relations relation NNS 39713 1939 26 exist exist VBP 39713 1939 27 between between IN 39713 1939 28 these these DT 39713 1939 29 objects object NNS 39713 1939 30 as as IN 39713 1939 31 between between IN 39713 1939 32 the the DT 39713 1939 33 images image NNS 39713 1939 34 by by IN 39713 1939 35 which which WDT 39713 1939 36 we -PRON- PRP 39713 1939 37 are be VBP 39713 1939 38 forced force VBN 39713 1939 39 to to TO 39713 1939 40 replace replace VB 39713 1939 41 them -PRON- PRP 39713 1939 42 . . . 39713 1940 1 If if IN 39713 1940 2 these these DT 39713 1940 3 relations relation NNS 39713 1940 4 are be VBP 39713 1940 5 known know VBN 39713 1940 6 to to IN 39713 1940 7 us -PRON- PRP 39713 1940 8 , , , 39713 1940 9 what what WP 39713 1940 10 matter matter NN 39713 1940 11 if if IN 39713 1940 12 we -PRON- PRP 39713 1940 13 deem deem VBP 39713 1940 14 it -PRON- PRP 39713 1940 15 convenient convenient JJ 39713 1940 16 to to TO 39713 1940 17 replace replace VB 39713 1940 18 one one CD 39713 1940 19 image image NN 39713 1940 20 by by IN 39713 1940 21 another another DT 39713 1940 22 . . . 39713 1941 1 That that IN 39713 1941 2 some some DT 39713 1941 3 periodic periodic JJ 39713 1941 4 phenomenon phenomenon NN 39713 1941 5 ( ( -LRB- 39713 1941 6 an an DT 39713 1941 7 electric electric JJ 39713 1941 8 oscillation oscillation NN 39713 1941 9 , , , 39713 1941 10 for for IN 39713 1941 11 instance instance NN 39713 1941 12 ) ) -RRB- 39713 1941 13 is be VBZ 39713 1941 14 really really RB 39713 1941 15 due due JJ 39713 1941 16 to to IN 39713 1941 17 the the DT 39713 1941 18 vibration vibration NN 39713 1941 19 of of IN 39713 1941 20 some some DT 39713 1941 21 atom atom NN 39713 1941 22 which which WDT 39713 1941 23 , , , 39713 1941 24 acting act VBG 39713 1941 25 like like IN 39713 1941 26 a a DT 39713 1941 27 pendulum pendulum NN 39713 1941 28 , , , 39713 1941 29 really really RB 39713 1941 30 moves move VBZ 39713 1941 31 in in IN 39713 1941 32 this this DT 39713 1941 33 or or CC 39713 1941 34 that that DT 39713 1941 35 sense sense NN 39713 1941 36 , , , 39713 1941 37 is be VBZ 39713 1941 38 neither neither CC 39713 1941 39 certain certain JJ 39713 1941 40 nor nor CC 39713 1941 41 interesting interesting JJ 39713 1941 42 . . . 39713 1942 1 But but CC 39713 1942 2 that that IN 39713 1942 3 between between IN 39713 1942 4 electric electric JJ 39713 1942 5 oscillation oscillation NN 39713 1942 6 , , , 39713 1942 7 the the DT 39713 1942 8 motion motion NN 39713 1942 9 of of IN 39713 1942 10 the the DT 39713 1942 11 pendulum pendulum NN 39713 1942 12 and and CC 39713 1942 13 all all DT 39713 1942 14 periodic periodic JJ 39713 1942 15 phenomena phenomenon NNS 39713 1942 16 there there EX 39713 1942 17 exists exist VBZ 39713 1942 18 a a DT 39713 1942 19 close close JJ 39713 1942 20 relationship relationship NN 39713 1942 21 which which WDT 39713 1942 22 corresponds correspond VBZ 39713 1942 23 to to IN 39713 1942 24 a a DT 39713 1942 25 profound profound JJ 39713 1942 26 reality reality NN 39713 1942 27 ; ; : 39713 1942 28 that that IN 39713 1942 29 this this DT 39713 1942 30 relationship relationship NN 39713 1942 31 , , , 39713 1942 32 this this DT 39713 1942 33 similitude similitude NN 39713 1942 34 , , , 39713 1942 35 or or CC 39713 1942 36 rather rather RB 39713 1942 37 this this DT 39713 1942 38 parallelism parallelism NN 39713 1942 39 extends extend VBZ 39713 1942 40 into into IN 39713 1942 41 details detail NNS 39713 1942 42 ; ; : 39713 1942 43 that that IN 39713 1942 44 it -PRON- PRP 39713 1942 45 is be VBZ 39713 1942 46 a a DT 39713 1942 47 consequence consequence NN 39713 1942 48 of of IN 39713 1942 49 more more JJR 39713 1942 50 general general JJ 39713 1942 51 principles principle NNS 39713 1942 52 , , , 39713 1942 53 that that DT 39713 1942 54 of of IN 39713 1942 55 energy energy NN 39713 1942 56 and and CC 39713 1942 57 that that DT 39713 1942 58 of of IN 39713 1942 59 least least JJS 39713 1942 60 action action NN 39713 1942 61 ; ; : 39713 1942 62 this this DT 39713 1942 63 is be VBZ 39713 1942 64 what what WP 39713 1942 65 we -PRON- PRP 39713 1942 66 can can MD 39713 1942 67 affirm affirm VB 39713 1942 68 ; ; : 39713 1942 69 this this DT 39713 1942 70 is be VBZ 39713 1942 71 the the DT 39713 1942 72 truth truth NN 39713 1942 73 which which WDT 39713 1942 74 will will MD 39713 1942 75 always always RB 39713 1942 76 remain remain VB 39713 1942 77 the the DT 39713 1942 78 same same JJ 39713 1942 79 under under IN 39713 1942 80 all all PDT 39713 1942 81 the the DT 39713 1942 82 costumes costume NNS 39713 1942 83 in in IN 39713 1942 84 which which WDT 39713 1942 85 we -PRON- PRP 39713 1942 86 may may MD 39713 1942 87 deem deem VB 39713 1942 88 it -PRON- PRP 39713 1942 89 useful useful JJ 39713 1942 90 to to TO 39713 1942 91 deck deck VB 39713 1942 92 it -PRON- PRP 39713 1942 93 out out RP 39713 1942 94 . . . 39713 1943 1 Numerous numerous JJ 39713 1943 2 theories theory NNS 39713 1943 3 of of IN 39713 1943 4 dispersion dispersion NN 39713 1943 5 have have VBP 39713 1943 6 been be VBN 39713 1943 7 proposed propose VBN 39713 1943 8 ; ; : 39713 1943 9 the the DT 39713 1943 10 first first JJ 39713 1943 11 was be VBD 39713 1943 12 imperfect imperfect JJ 39713 1943 13 and and CC 39713 1943 14 contained contain VBD 39713 1943 15 only only RB 39713 1943 16 a a DT 39713 1943 17 small small JJ 39713 1943 18 part part NN 39713 1943 19 of of IN 39713 1943 20 truth truth NN 39713 1943 21 . . . 39713 1944 1 Afterwards afterwards RB 39713 1944 2 came come VBD 39713 1944 3 that that DT 39713 1944 4 of of IN 39713 1944 5 Helmholtz Helmholtz NNP 39713 1944 6 ; ; : 39713 1944 7 then then RB 39713 1944 8 it -PRON- PRP 39713 1944 9 was be VBD 39713 1944 10 modified modify VBN 39713 1944 11 in in IN 39713 1944 12 various various JJ 39713 1944 13 ways way NNS 39713 1944 14 , , , 39713 1944 15 and and CC 39713 1944 16 its -PRON- PRP$ 39713 1944 17 author author NN 39713 1944 18 himself -PRON- PRP 39713 1944 19 imagined imagine VBD 39713 1944 20 another another DT 39713 1944 21 founded found VBN 39713 1944 22 on on IN 39713 1944 23 the the DT 39713 1944 24 principles principle NNS 39713 1944 25 of of IN 39713 1944 26 Maxwell Maxwell NNP 39713 1944 27 . . . 39713 1945 1 But but CC 39713 1945 2 , , , 39713 1945 3 what what WP 39713 1945 4 is be VBZ 39713 1945 5 remarkable remarkable JJ 39713 1945 6 , , , 39713 1945 7 all all PDT 39713 1945 8 the the DT 39713 1945 9 scientists scientist NNS 39713 1945 10 who who WP 39713 1945 11 came come VBD 39713 1945 12 after after IN 39713 1945 13 Helmholtz Helmholtz NNP 39713 1945 14 reached reach VBD 39713 1945 15 the the DT 39713 1945 16 same same JJ 39713 1945 17 equations equation NNS 39713 1945 18 , , , 39713 1945 19 starting start VBG 39713 1945 20 from from IN 39713 1945 21 points point NNS 39713 1945 22 of of IN 39713 1945 23 departure departure NN 39713 1945 24 in in IN 39713 1945 25 appearance appearance NN 39713 1945 26 very very RB 39713 1945 27 widely widely RB 39713 1945 28 separated separated JJ 39713 1945 29 . . . 39713 1946 1 I -PRON- PRP 39713 1946 2 will will MD 39713 1946 3 venture venture VB 39713 1946 4 to to TO 39713 1946 5 say say VB 39713 1946 6 these these DT 39713 1946 7 theories theory NNS 39713 1946 8 are be VBP 39713 1946 9 all all RB 39713 1946 10 true true JJ 39713 1946 11 at at IN 39713 1946 12 the the DT 39713 1946 13 same same JJ 39713 1946 14 time time NN 39713 1946 15 , , , 39713 1946 16 not not RB 39713 1946 17 only only RB 39713 1946 18 because because IN 39713 1946 19 they -PRON- PRP 39713 1946 20 make make VBP 39713 1946 21 us -PRON- PRP 39713 1946 22 foresee foresee VB 39713 1946 23 the the DT 39713 1946 24 same same JJ 39713 1946 25 phenomena phenomena NN 39713 1946 26 , , , 39713 1946 27 but but CC 39713 1946 28 because because IN 39713 1946 29 they -PRON- PRP 39713 1946 30 put put VBP 39713 1946 31 in in IN 39713 1946 32 evidence evidence NN 39713 1946 33 a a DT 39713 1946 34 true true JJ 39713 1946 35 relation relation NN 39713 1946 36 , , , 39713 1946 37 that that DT 39713 1946 38 of of IN 39713 1946 39 absorption absorption NN 39713 1946 40 and and CC 39713 1946 41 anomalous anomalous JJ 39713 1946 42 dispersion dispersion NN 39713 1946 43 . . . 39713 1947 1 What what WP 39713 1947 2 is be VBZ 39713 1947 3 true true JJ 39713 1947 4 in in IN 39713 1947 5 the the DT 39713 1947 6 premises premise NNS 39713 1947 7 of of IN 39713 1947 8 these these DT 39713 1947 9 theories theory NNS 39713 1947 10 is be VBZ 39713 1947 11 what what WP 39713 1947 12 is be VBZ 39713 1947 13 common common JJ 39713 1947 14 to to IN 39713 1947 15 all all PDT 39713 1947 16 the the DT 39713 1947 17 authors author NNS 39713 1947 18 ; ; : 39713 1947 19 this this DT 39713 1947 20 is be VBZ 39713 1947 21 the the DT 39713 1947 22 affirmation affirmation NN 39713 1947 23 of of IN 39713 1947 24 this this DT 39713 1947 25 or or CC 39713 1947 26 that that IN 39713 1947 27 relation relation NN 39713 1947 28 between between IN 39713 1947 29 certain certain JJ 39713 1947 30 things thing NNS 39713 1947 31 which which WDT 39713 1947 32 some some DT 39713 1947 33 call call VBP 39713 1947 34 by by IN 39713 1947 35 one one CD 39713 1947 36 name name NN 39713 1947 37 , , , 39713 1947 38 others other NNS 39713 1947 39 by by IN 39713 1947 40 another another DT 39713 1947 41 . . . 39713 1948 1 The the DT 39713 1948 2 kinetic kinetic JJ 39713 1948 3 theory theory NN 39713 1948 4 of of IN 39713 1948 5 gases gas NNS 39713 1948 6 has have VBZ 39713 1948 7 given give VBN 39713 1948 8 rise rise NN 39713 1948 9 to to IN 39713 1948 10 many many JJ 39713 1948 11 objections objection NNS 39713 1948 12 , , , 39713 1948 13 which which WDT 39713 1948 14 we -PRON- PRP 39713 1948 15 could could MD 39713 1948 16 hardly hardly RB 39713 1948 17 answer answer VB 39713 1948 18 if if IN 39713 1948 19 we -PRON- PRP 39713 1948 20 pretended pretend VBD 39713 1948 21 to to TO 39713 1948 22 see see VB 39713 1948 23 in in IN 39713 1948 24 it -PRON- PRP 39713 1948 25 the the DT 39713 1948 26 absolute absolute JJ 39713 1948 27 truth truth NN 39713 1948 28 . . . 39713 1949 1 But but CC 39713 1949 2 all all PDT 39713 1949 3 these these DT 39713 1949 4 objections objection NNS 39713 1949 5 will will MD 39713 1949 6 not not RB 39713 1949 7 preclude preclude VB 39713 1949 8 its -PRON- PRP$ 39713 1949 9 having have VBG 39713 1949 10 been be VBN 39713 1949 11 useful useful JJ 39713 1949 12 , , , 39713 1949 13 and and CC 39713 1949 14 particularly particularly RB 39713 1949 15 so so RB 39713 1949 16 in in IN 39713 1949 17 revealing reveal VBG 39713 1949 18 to to IN 39713 1949 19 us -PRON- PRP 39713 1949 20 a a DT 39713 1949 21 relation relation NN 39713 1949 22 true true JJ 39713 1949 23 and and CC 39713 1949 24 but but CC 39713 1949 25 for for IN 39713 1949 26 it -PRON- PRP 39713 1949 27 profoundly profoundly RB 39713 1949 28 hidden hide VBN 39713 1949 29 , , , 39713 1949 30 that that DT 39713 1949 31 of of IN 39713 1949 32 the the DT 39713 1949 33 gaseous gaseous JJ 39713 1949 34 pressure pressure NN 39713 1949 35 and and CC 39713 1949 36 the the DT 39713 1949 37 osmotic osmotic JJ 39713 1949 38 pressure pressure NN 39713 1949 39 . . . 39713 1950 1 In in IN 39713 1950 2 this this DT 39713 1950 3 sense sense NN 39713 1950 4 , , , 39713 1950 5 then then RB 39713 1950 6 , , , 39713 1950 7 it -PRON- PRP 39713 1950 8 may may MD 39713 1950 9 be be VB 39713 1950 10 said say VBN 39713 1950 11 to to TO 39713 1950 12 be be VB 39713 1950 13 true true JJ 39713 1950 14 . . . 39713 1951 1 When when WRB 39713 1951 2 a a DT 39713 1951 3 physicist physicist NN 39713 1951 4 finds find VBZ 39713 1951 5 a a DT 39713 1951 6 contradiction contradiction NN 39713 1951 7 between between IN 39713 1951 8 two two CD 39713 1951 9 theories theory NNS 39713 1951 10 equally equally RB 39713 1951 11 dear dear JJ 39713 1951 12 to to IN 39713 1951 13 him -PRON- PRP 39713 1951 14 , , , 39713 1951 15 he -PRON- PRP 39713 1951 16 sometimes sometimes RB 39713 1951 17 says say VBZ 39713 1951 18 : : : 39713 1951 19 " " `` 39713 1951 20 We -PRON- PRP 39713 1951 21 will will MD 39713 1951 22 not not RB 39713 1951 23 bother bother VB 39713 1951 24 about about IN 39713 1951 25 that that DT 39713 1951 26 , , , 39713 1951 27 but but CC 39713 1951 28 hold hold VB 39713 1951 29 firmly firmly RB 39713 1951 30 the the DT 39713 1951 31 two two CD 39713 1951 32 ends end NNS 39713 1951 33 of of IN 39713 1951 34 the the DT 39713 1951 35 chain chain NN 39713 1951 36 , , , 39713 1951 37 though though IN 39713 1951 38 the the DT 39713 1951 39 intermediate intermediate JJ 39713 1951 40 links link NNS 39713 1951 41 are be VBP 39713 1951 42 hidden hide VBN 39713 1951 43 from from IN 39713 1951 44 us -PRON- PRP 39713 1951 45 . . . 39713 1951 46 " " '' 39713 1952 1 This this DT 39713 1952 2 argument argument NN 39713 1952 3 of of IN 39713 1952 4 an an DT 39713 1952 5 embarrassed embarrassed JJ 39713 1952 6 theologian theologian NN 39713 1952 7 would would MD 39713 1952 8 be be VB 39713 1952 9 ridiculous ridiculous JJ 39713 1952 10 if if IN 39713 1952 11 it -PRON- PRP 39713 1952 12 were be VBD 39713 1952 13 necessary necessary JJ 39713 1952 14 to to TO 39713 1952 15 attribute attribute VB 39713 1952 16 to to IN 39713 1952 17 physical physical JJ 39713 1952 18 theories theory NNS 39713 1952 19 the the DT 39713 1952 20 sense sense NN 39713 1952 21 the the DT 39713 1952 22 laity laity NN 39713 1952 23 give give VB 39713 1952 24 them -PRON- PRP 39713 1952 25 . . . 39713 1953 1 In in IN 39713 1953 2 case case NN 39713 1953 3 of of IN 39713 1953 4 contradiction contradiction NN 39713 1953 5 , , , 39713 1953 6 one one CD 39713 1953 7 of of IN 39713 1953 8 them -PRON- PRP 39713 1953 9 at at IN 39713 1953 10 least least JJS 39713 1953 11 must must MD 39713 1953 12 then then RB 39713 1953 13 be be VB 39713 1953 14 regarded regard VBN 39713 1953 15 as as IN 39713 1953 16 false false JJ 39713 1953 17 . . . 39713 1954 1 It -PRON- PRP 39713 1954 2 is be VBZ 39713 1954 3 no no RB 39713 1954 4 longer long RBR 39713 1954 5 the the DT 39713 1954 6 same same JJ 39713 1954 7 if if IN 39713 1954 8 in in IN 39713 1954 9 them -PRON- PRP 39713 1954 10 be be VB 39713 1954 11 sought seek VBN 39713 1954 12 only only RB 39713 1954 13 what what WP 39713 1954 14 should should MD 39713 1954 15 be be VB 39713 1954 16 sought seek VBN 39713 1954 17 . . . 39713 1955 1 May May MD 39713 1955 2 be be VB 39713 1955 3 they -PRON- PRP 39713 1955 4 both both DT 39713 1955 5 express express VBP 39713 1955 6 true true JJ 39713 1955 7 relations relation NNS 39713 1955 8 and and CC 39713 1955 9 the the DT 39713 1955 10 contradiction contradiction NN 39713 1955 11 is be VBZ 39713 1955 12 only only RB 39713 1955 13 in in IN 39713 1955 14 the the DT 39713 1955 15 images image NNS 39713 1955 16 wherewith wherewith VBP 39713 1955 17 we -PRON- PRP 39713 1955 18 have have VBP 39713 1955 19 clothed clothe VBN 39713 1955 20 the the DT 39713 1955 21 reality reality NN 39713 1955 22 . . . 39713 1956 1 To to IN 39713 1956 2 those those DT 39713 1956 3 who who WP 39713 1956 4 find find VBP 39713 1956 5 we -PRON- PRP 39713 1956 6 restrict restrict VBP 39713 1956 7 too too RB 39713 1956 8 much much RB 39713 1956 9 the the DT 39713 1956 10 domain domain NN 39713 1956 11 accessible accessible JJ 39713 1956 12 to to IN 39713 1956 13 the the DT 39713 1956 14 scientist scientist NN 39713 1956 15 , , , 39713 1956 16 I -PRON- PRP 39713 1956 17 answer answer VBP 39713 1956 18 : : : 39713 1956 19 These these DT 39713 1956 20 questions question NNS 39713 1956 21 which which WDT 39713 1956 22 we -PRON- PRP 39713 1956 23 interdict interdict VBP 39713 1956 24 to to IN 39713 1956 25 you -PRON- PRP 39713 1956 26 and and CC 39713 1956 27 which which WDT 39713 1956 28 you -PRON- PRP 39713 1956 29 regret regret VBP 39713 1956 30 , , , 39713 1956 31 are be VBP 39713 1956 32 not not RB 39713 1956 33 only only RB 39713 1956 34 insoluble insoluble JJ 39713 1956 35 , , , 39713 1956 36 they -PRON- PRP 39713 1956 37 are be VBP 39713 1956 38 illusory illusory JJ 39713 1956 39 and and CC 39713 1956 40 devoid devoid JJ 39713 1956 41 of of IN 39713 1956 42 meaning meaning NN 39713 1956 43 . . . 39713 1957 1 Some some DT 39713 1957 2 philosopher philosopher NN 39713 1957 3 pretends pretend VBZ 39713 1957 4 that that IN 39713 1957 5 all all DT 39713 1957 6 physics physic NNS 39713 1957 7 may may MD 39713 1957 8 be be VB 39713 1957 9 explained explain VBN 39713 1957 10 by by IN 39713 1957 11 the the DT 39713 1957 12 mutual mutual JJ 39713 1957 13 impacts impact NNS 39713 1957 14 of of IN 39713 1957 15 atoms atom NNS 39713 1957 16 . . . 39713 1958 1 If if IN 39713 1958 2 he -PRON- PRP 39713 1958 3 merely merely RB 39713 1958 4 means mean VBZ 39713 1958 5 there there EX 39713 1958 6 are be VBP 39713 1958 7 between between IN 39713 1958 8 physical physical JJ 39713 1958 9 phenomena phenomenon NNS 39713 1958 10 the the DT 39713 1958 11 same same JJ 39713 1958 12 relations relation NNS 39713 1958 13 as as IN 39713 1958 14 between between IN 39713 1958 15 the the DT 39713 1958 16 mutual mutual JJ 39713 1958 17 impacts impact NNS 39713 1958 18 of of IN 39713 1958 19 a a DT 39713 1958 20 great great JJ 39713 1958 21 number number NN 39713 1958 22 of of IN 39713 1958 23 balls ball NNS 39713 1958 24 , , , 39713 1958 25 well well UH 39713 1958 26 and and CC 39713 1958 27 good good NN 39713 1958 28 , , , 39713 1958 29 that that RB 39713 1958 30 is be VBZ 39713 1958 31 verifiable verifiable JJ 39713 1958 32 , , , 39713 1958 33 that that DT 39713 1958 34 is be VBZ 39713 1958 35 perhaps perhaps RB 39713 1958 36 true true JJ 39713 1958 37 . . . 39713 1959 1 But but CC 39713 1959 2 he -PRON- PRP 39713 1959 3 means mean VBZ 39713 1959 4 something something NN 39713 1959 5 more more JJR 39713 1959 6 ; ; : 39713 1959 7 and and CC 39713 1959 8 we -PRON- PRP 39713 1959 9 think think VBP 39713 1959 10 we -PRON- PRP 39713 1959 11 understand understand VBP 39713 1959 12 it -PRON- PRP 39713 1959 13 because because IN 39713 1959 14 we -PRON- PRP 39713 1959 15 think think VBP 39713 1959 16 we -PRON- PRP 39713 1959 17 know know VBP 39713 1959 18 what what WP 39713 1959 19 impact impact NN 39713 1959 20 is be VBZ 39713 1959 21 in in IN 39713 1959 22 itself -PRON- PRP 39713 1959 23 ; ; : 39713 1959 24 why why WRB 39713 1959 25 ? ? . 39713 1960 1 Simply simply RB 39713 1960 2 because because IN 39713 1960 3 we -PRON- PRP 39713 1960 4 have have VBP 39713 1960 5 often often RB 39713 1960 6 seen see VBN 39713 1960 7 games game NNS 39713 1960 8 of of IN 39713 1960 9 billiards billiard NNS 39713 1960 10 . . . 39713 1961 1 Shall Shall MD 39713 1961 2 we -PRON- PRP 39713 1961 3 think think VB 39713 1961 4 God God NNP 39713 1961 5 , , , 39713 1961 6 contemplating contemplate VBG 39713 1961 7 his -PRON- PRP$ 39713 1961 8 work work NN 39713 1961 9 , , , 39713 1961 10 feels feel VBZ 39713 1961 11 the the DT 39713 1961 12 same same JJ 39713 1961 13 sensations sensation NNS 39713 1961 14 as as IN 39713 1961 15 we -PRON- PRP 39713 1961 16 in in IN 39713 1961 17 watching watch VBG 39713 1961 18 a a DT 39713 1961 19 billiard billiard NN 39713 1961 20 match match NN 39713 1961 21 ? ? . 39713 1962 1 If if IN 39713 1962 2 we -PRON- PRP 39713 1962 3 do do VBP 39713 1962 4 not not RB 39713 1962 5 wish wish VB 39713 1962 6 to to TO 39713 1962 7 give give VB 39713 1962 8 this this DT 39713 1962 9 bizarre bizarre JJ 39713 1962 10 sense sense NN 39713 1962 11 to to IN 39713 1962 12 his -PRON- PRP$ 39713 1962 13 assertion assertion NN 39713 1962 14 , , , 39713 1962 15 if if IN 39713 1962 16 neither neither DT 39713 1962 17 do do VBP 39713 1962 18 we -PRON- PRP 39713 1962 19 wish wish VB 39713 1962 20 the the DT 39713 1962 21 restricted restricted JJ 39713 1962 22 sense sense NN 39713 1962 23 I -PRON- PRP 39713 1962 24 have have VBP 39713 1962 25 just just RB 39713 1962 26 explained explain VBN 39713 1962 27 , , , 39713 1962 28 which which WDT 39713 1962 29 is be VBZ 39713 1962 30 good good JJ 39713 1962 31 sense sense NN 39713 1962 32 , , , 39713 1962 33 then then RB 39713 1962 34 it -PRON- PRP 39713 1962 35 has have VBZ 39713 1962 36 none none NN 39713 1962 37 . . . 39713 1963 1 Hypotheses hypothesis NNS 39713 1963 2 of of IN 39713 1963 3 this this DT 39713 1963 4 sort sort NN 39713 1963 5 have have VBP 39713 1963 6 therefore therefore RB 39713 1963 7 only only RB 39713 1963 8 a a DT 39713 1963 9 metaphorical metaphorical JJ 39713 1963 10 sense sense NN 39713 1963 11 . . . 39713 1964 1 The the DT 39713 1964 2 scientist scientist NN 39713 1964 3 should should MD 39713 1964 4 no no DT 39713 1964 5 more more RBR 39713 1964 6 interdict interdict VB 39713 1964 7 them -PRON- PRP 39713 1964 8 than than IN 39713 1964 9 the the DT 39713 1964 10 poet poet NN 39713 1964 11 does do VBZ 39713 1964 12 metaphors metaphor NNS 39713 1964 13 ; ; : 39713 1964 14 but but CC 39713 1964 15 he -PRON- PRP 39713 1964 16 ought ought MD 39713 1964 17 to to TO 39713 1964 18 know know VB 39713 1964 19 what what WP 39713 1964 20 they -PRON- PRP 39713 1964 21 are be VBP 39713 1964 22 worth worth JJ 39713 1964 23 . . . 39713 1965 1 They -PRON- PRP 39713 1965 2 may may MD 39713 1965 3 be be VB 39713 1965 4 useful useful JJ 39713 1965 5 to to TO 39713 1965 6 give give VB 39713 1965 7 a a DT 39713 1965 8 certain certain JJ 39713 1965 9 satisfaction satisfaction NN 39713 1965 10 to to IN 39713 1965 11 the the DT 39713 1965 12 mind mind NN 39713 1965 13 , , , 39713 1965 14 and and CC 39713 1965 15 they -PRON- PRP 39713 1965 16 will will MD 39713 1965 17 not not RB 39713 1965 18 be be VB 39713 1965 19 injurious injurious JJ 39713 1965 20 provided provide VBN 39713 1965 21 they -PRON- PRP 39713 1965 22 are be VBP 39713 1965 23 only only RB 39713 1965 24 indifferent indifferent JJ 39713 1965 25 hypotheses hypothesis NNS 39713 1965 26 . . . 39713 1966 1 These these DT 39713 1966 2 considerations consideration NNS 39713 1966 3 explain explain VBP 39713 1966 4 to to IN 39713 1966 5 us -PRON- PRP 39713 1966 6 why why WRB 39713 1966 7 certain certain JJ 39713 1966 8 theories theory NNS 39713 1966 9 , , , 39713 1966 10 supposed suppose VBN 39713 1966 11 to to TO 39713 1966 12 be be VB 39713 1966 13 abandoned abandon VBN 39713 1966 14 and and CC 39713 1966 15 finally finally RB 39713 1966 16 condemned condemn VBN 39713 1966 17 by by IN 39713 1966 18 experiment experiment NN 39713 1966 19 , , , 39713 1966 20 suddenly suddenly RB 39713 1966 21 arise arise VB 39713 1966 22 from from IN 39713 1966 23 their -PRON- PRP$ 39713 1966 24 ashes ashe NNS 39713 1966 25 and and CC 39713 1966 26 recommence recommence VB 39713 1966 27 a a DT 39713 1966 28 new new JJ 39713 1966 29 life life NN 39713 1966 30 . . . 39713 1967 1 It -PRON- PRP 39713 1967 2 is be VBZ 39713 1967 3 because because IN 39713 1967 4 they -PRON- PRP 39713 1967 5 expressed express VBD 39713 1967 6 true true JJ 39713 1967 7 relations relation NNS 39713 1967 8 ; ; : 39713 1967 9 and and CC 39713 1967 10 because because IN 39713 1967 11 they -PRON- PRP 39713 1967 12 had have VBD 39713 1967 13 not not RB 39713 1967 14 ceased cease VBN 39713 1967 15 to to TO 39713 1967 16 do do VB 39713 1967 17 so so RB 39713 1967 18 when when WRB 39713 1967 19 , , , 39713 1967 20 for for IN 39713 1967 21 one one CD 39713 1967 22 reason reason NN 39713 1967 23 or or CC 39713 1967 24 another another DT 39713 1967 25 , , , 39713 1967 26 we -PRON- PRP 39713 1967 27 felt feel VBD 39713 1967 28 it -PRON- PRP 39713 1967 29 necessary necessary JJ 39713 1967 30 to to TO 39713 1967 31 enunciate enunciate VB 39713 1967 32 the the DT 39713 1967 33 same same JJ 39713 1967 34 relations relation NNS 39713 1967 35 in in IN 39713 1967 36 another another DT 39713 1967 37 language language NN 39713 1967 38 . . . 39713 1968 1 So so RB 39713 1968 2 they -PRON- PRP 39713 1968 3 retained retain VBD 39713 1968 4 a a DT 39713 1968 5 sort sort NN 39713 1968 6 of of IN 39713 1968 7 latent latent JJ 39713 1968 8 life life NN 39713 1968 9 . . . 39713 1969 1 Scarcely scarcely RB 39713 1969 2 fifteen fifteen CD 39713 1969 3 years year NNS 39713 1969 4 ago ago RB 39713 1969 5 was be VBD 39713 1969 6 there there RB 39713 1969 7 anything anything NN 39713 1969 8 more more RBR 39713 1969 9 ridiculous ridiculous JJ 39713 1969 10 , , , 39713 1969 11 more more RBR 39713 1969 12 naïvely naïvely RB 39713 1969 13 antiquated antiquated JJ 39713 1969 14 , , , 39713 1969 15 than than IN 39713 1969 16 Coulomb Coulomb NNP 39713 1969 17 's 's POS 39713 1969 18 fluids fluid NNS 39713 1969 19 ? ? . 39713 1970 1 And and CC 39713 1970 2 yet yet RB 39713 1970 3 here here RB 39713 1970 4 they -PRON- PRP 39713 1970 5 are be VBP 39713 1970 6 reappearing reappear VBG 39713 1970 7 under under IN 39713 1970 8 the the DT 39713 1970 9 name name NN 39713 1970 10 of of IN 39713 1970 11 _ _ NNP 39713 1970 12 electrons electron NNS 39713 1970 13 _ _ NNP 39713 1970 14 . . . 39713 1971 1 Wherein wherein WRB 39713 1971 2 do do VBP 39713 1971 3 these these DT 39713 1971 4 permanently permanently RB 39713 1971 5 electrified electrify VBN 39713 1971 6 molecules molecule NNS 39713 1971 7 differ differ VBP 39713 1971 8 from from IN 39713 1971 9 Coulomb Coulomb NNP 39713 1971 10 's 's POS 39713 1971 11 electric electric JJ 39713 1971 12 molecules molecule NNS 39713 1971 13 ? ? . 39713 1972 1 It -PRON- PRP 39713 1972 2 is be VBZ 39713 1972 3 true true JJ 39713 1972 4 that that IN 39713 1972 5 in in IN 39713 1972 6 the the DT 39713 1972 7 electrons electron NNS 39713 1972 8 the the DT 39713 1972 9 electricity electricity NN 39713 1972 10 is be VBZ 39713 1972 11 supported support VBN 39713 1972 12 by by IN 39713 1972 13 a a DT 39713 1972 14 little little JJ 39713 1972 15 , , , 39713 1972 16 a a DT 39713 1972 17 very very RB 39713 1972 18 little little JJ 39713 1972 19 matter matter NN 39713 1972 20 ; ; : 39713 1972 21 in in IN 39713 1972 22 other other JJ 39713 1972 23 words word NNS 39713 1972 24 , , , 39713 1972 25 they -PRON- PRP 39713 1972 26 have have VBP 39713 1972 27 a a DT 39713 1972 28 mass mass NN 39713 1972 29 ( ( -LRB- 39713 1972 30 and and CC 39713 1972 31 yet yet RB 39713 1972 32 this this DT 39713 1972 33 is be VBZ 39713 1972 34 now now RB 39713 1972 35 contested contest VBN 39713 1972 36 ) ) -RRB- 39713 1972 37 ; ; : 39713 1972 38 but but CC 39713 1972 39 Coulomb Coulomb NNP 39713 1972 40 did do VBD 39713 1972 41 not not RB 39713 1972 42 deny deny VB 39713 1972 43 mass mass JJ 39713 1972 44 to to IN 39713 1972 45 his -PRON- PRP$ 39713 1972 46 fluids fluid NNS 39713 1972 47 , , , 39713 1972 48 or or CC 39713 1972 49 , , , 39713 1972 50 if if IN 39713 1972 51 he -PRON- PRP 39713 1972 52 did do VBD 39713 1972 53 , , , 39713 1972 54 it -PRON- PRP 39713 1972 55 was be VBD 39713 1972 56 only only RB 39713 1972 57 with with IN 39713 1972 58 reluctance reluctance NN 39713 1972 59 . . . 39713 1973 1 It -PRON- PRP 39713 1973 2 would would MD 39713 1973 3 be be VB 39713 1973 4 rash rash JJ 39713 1973 5 to to TO 39713 1973 6 affirm affirm VB 39713 1973 7 that that IN 39713 1973 8 the the DT 39713 1973 9 belief belief NN 39713 1973 10 in in IN 39713 1973 11 electrons electron NNS 39713 1973 12 will will MD 39713 1973 13 not not RB 39713 1973 14 again again RB 39713 1973 15 suffer suffer VB 39713 1973 16 eclipse eclipse NN 39713 1973 17 ; ; : 39713 1973 18 it -PRON- PRP 39713 1973 19 was be VBD 39713 1973 20 none none NN 39713 1973 21 the the DT 39713 1973 22 less less RBR 39713 1973 23 curious curious JJ 39713 1973 24 to to TO 39713 1973 25 note note VB 39713 1973 26 this this DT 39713 1973 27 unexpected unexpected JJ 39713 1973 28 resurrection resurrection NN 39713 1973 29 . . . 39713 1974 1 But but CC 39713 1974 2 the the DT 39713 1974 3 most most RBS 39713 1974 4 striking striking JJ 39713 1974 5 example example NN 39713 1974 6 is be VBZ 39713 1974 7 Carnot Carnot NNP 39713 1974 8 's 's POS 39713 1974 9 principle principle NN 39713 1974 10 . . . 39713 1975 1 Carnot carnot RB 39713 1975 2 set set VBD 39713 1975 3 it -PRON- PRP 39713 1975 4 up up RP 39713 1975 5 starting start VBG 39713 1975 6 from from IN 39713 1975 7 false false JJ 39713 1975 8 hypotheses hypothesis NNS 39713 1975 9 ; ; : 39713 1975 10 when when WRB 39713 1975 11 it -PRON- PRP 39713 1975 12 was be VBD 39713 1975 13 seen see VBN 39713 1975 14 that that IN 39713 1975 15 heat heat NN 39713 1975 16 is be VBZ 39713 1975 17 not not RB 39713 1975 18 indestructible indestructible JJ 39713 1975 19 , , , 39713 1975 20 but but CC 39713 1975 21 may may MD 39713 1975 22 be be VB 39713 1975 23 transformed transform VBN 39713 1975 24 into into IN 39713 1975 25 work work NN 39713 1975 26 , , , 39713 1975 27 his -PRON- PRP$ 39713 1975 28 ideas idea NNS 39713 1975 29 were be VBD 39713 1975 30 completely completely RB 39713 1975 31 abandoned abandon VBN 39713 1975 32 ; ; : 39713 1975 33 afterwards afterwards RB 39713 1975 34 Clausius Clausius NNP 39713 1975 35 returned return VBD 39713 1975 36 to to IN 39713 1975 37 them -PRON- PRP 39713 1975 38 and and CC 39713 1975 39 made make VBD 39713 1975 40 them -PRON- PRP 39713 1975 41 finally finally RB 39713 1975 42 triumph triumph VB 39713 1975 43 . . . 39713 1976 1 Carnot Carnot NNP 39713 1976 2 's 's POS 39713 1976 3 theory theory NN 39713 1976 4 , , , 39713 1976 5 under under IN 39713 1976 6 its -PRON- PRP$ 39713 1976 7 primitive primitive JJ 39713 1976 8 form form NN 39713 1976 9 , , , 39713 1976 10 expressed express VBD 39713 1976 11 , , , 39713 1976 12 aside aside RB 39713 1976 13 from from IN 39713 1976 14 true true JJ 39713 1976 15 relations relation NNS 39713 1976 16 , , , 39713 1976 17 other other JJ 39713 1976 18 inexact inexact NN 39713 1976 19 relations relation NNS 39713 1976 20 , , , 39713 1976 21 _ _ NNP 39713 1976 22 débris débris NN 39713 1976 23 _ _ NNP 39713 1976 24 of of IN 39713 1976 25 antiquated antiquated JJ 39713 1976 26 ideas idea NNS 39713 1976 27 ; ; : 39713 1976 28 but but CC 39713 1976 29 the the DT 39713 1976 30 presence presence NN 39713 1976 31 of of IN 39713 1976 32 these these DT 39713 1976 33 latter latter JJ 39713 1976 34 did do VBD 39713 1976 35 not not RB 39713 1976 36 change change VB 39713 1976 37 the the DT 39713 1976 38 reality reality NN 39713 1976 39 of of IN 39713 1976 40 the the DT 39713 1976 41 others other NNS 39713 1976 42 . . . 39713 1977 1 Clausius Clausius NNP 39713 1977 2 had have VBD 39713 1977 3 only only RB 39713 1977 4 to to TO 39713 1977 5 discard discard VB 39713 1977 6 them -PRON- PRP 39713 1977 7 as as IN 39713 1977 8 one one CD 39713 1977 9 lops lop VBZ 39713 1977 10 off off RP 39713 1977 11 dead dead JJ 39713 1977 12 branches branch NNS 39713 1977 13 . . . 39713 1978 1 The the DT 39713 1978 2 result result NN 39713 1978 3 was be VBD 39713 1978 4 the the DT 39713 1978 5 second second JJ 39713 1978 6 fundamental fundamental JJ 39713 1978 7 law law NN 39713 1978 8 of of IN 39713 1978 9 thermodynamics thermodynamic NNS 39713 1978 10 . . . 39713 1979 1 There there EX 39713 1979 2 were be VBD 39713 1979 3 always always RB 39713 1979 4 the the DT 39713 1979 5 same same JJ 39713 1979 6 relations relation NNS 39713 1979 7 ; ; : 39713 1979 8 though though IN 39713 1979 9 these these DT 39713 1979 10 relations relation NNS 39713 1979 11 no no RB 39713 1979 12 longer long RBR 39713 1979 13 subsisted subsist VBD 39713 1979 14 , , , 39713 1979 15 at at IN 39713 1979 16 least least JJS 39713 1979 17 in in IN 39713 1979 18 appearance appearance NN 39713 1979 19 , , , 39713 1979 20 between between IN 39713 1979 21 the the DT 39713 1979 22 same same JJ 39713 1979 23 objects object NNS 39713 1979 24 . . . 39713 1980 1 This this DT 39713 1980 2 was be VBD 39713 1980 3 enough enough JJ 39713 1980 4 for for IN 39713 1980 5 the the DT 39713 1980 6 principle principle NN 39713 1980 7 to to TO 39713 1980 8 retain retain VB 39713 1980 9 its -PRON- PRP$ 39713 1980 10 value value NN 39713 1980 11 . . . 39713 1981 1 And and CC 39713 1981 2 even even RB 39713 1981 3 the the DT 39713 1981 4 reasonings reasoning NNS 39713 1981 5 of of IN 39713 1981 6 Carnot Carnot NNP 39713 1981 7 have have VBP 39713 1981 8 not not RB 39713 1981 9 perished perish VBN 39713 1981 10 because because RB 39713 1981 11 of of IN 39713 1981 12 that that DT 39713 1981 13 ; ; : 39713 1981 14 they -PRON- PRP 39713 1981 15 were be VBD 39713 1981 16 applied apply VBN 39713 1981 17 to to IN 39713 1981 18 a a DT 39713 1981 19 material material NN 39713 1981 20 tainted taint VBN 39713 1981 21 with with IN 39713 1981 22 error error NN 39713 1981 23 ; ; : 39713 1981 24 but but CC 39713 1981 25 their -PRON- PRP$ 39713 1981 26 form form NN 39713 1981 27 ( ( -LRB- 39713 1981 28 that that DT 39713 1981 29 is be VBZ 39713 1981 30 to to TO 39713 1981 31 say say VB 39713 1981 32 , , , 39713 1981 33 the the DT 39713 1981 34 essential essential NN 39713 1981 35 ) ) -RRB- 39713 1981 36 remained remain VBD 39713 1981 37 correct correct JJ 39713 1981 38 . . . 39713 1982 1 What what WP 39713 1982 2 I -PRON- PRP 39713 1982 3 have have VBP 39713 1982 4 just just RB 39713 1982 5 said say VBN 39713 1982 6 illuminates illuminate NNS 39713 1982 7 at at IN 39713 1982 8 the the DT 39713 1982 9 same same JJ 39713 1982 10 time time NN 39713 1982 11 the the DT 39713 1982 12 rôle rôle NN 39713 1982 13 of of IN 39713 1982 14 general general JJ 39713 1982 15 principles principle NNS 39713 1982 16 such such JJ 39713 1982 17 as as IN 39713 1982 18 the the DT 39713 1982 19 principle principle NN 39713 1982 20 of of IN 39713 1982 21 least least JJS 39713 1982 22 action action NN 39713 1982 23 , , , 39713 1982 24 or or CC 39713 1982 25 that that DT 39713 1982 26 of of IN 39713 1982 27 the the DT 39713 1982 28 conservation conservation NN 39713 1982 29 of of IN 39713 1982 30 energy energy NN 39713 1982 31 . . . 39713 1983 1 These these DT 39713 1983 2 principles principle NNS 39713 1983 3 have have VBP 39713 1983 4 a a DT 39713 1983 5 very very RB 39713 1983 6 high high JJ 39713 1983 7 value value NN 39713 1983 8 ; ; : 39713 1983 9 they -PRON- PRP 39713 1983 10 were be VBD 39713 1983 11 obtained obtain VBN 39713 1983 12 in in IN 39713 1983 13 seeking seek VBG 39713 1983 14 what what WP 39713 1983 15 there there EX 39713 1983 16 was be VBD 39713 1983 17 in in IN 39713 1983 18 common common JJ 39713 1983 19 in in IN 39713 1983 20 the the DT 39713 1983 21 enunciation enunciation NN 39713 1983 22 of of IN 39713 1983 23 numerous numerous JJ 39713 1983 24 physical physical JJ 39713 1983 25 laws law NNS 39713 1983 26 ; ; : 39713 1983 27 they -PRON- PRP 39713 1983 28 represent represent VBP 39713 1983 29 therefore therefore RB 39713 1983 30 , , , 39713 1983 31 as as IN 39713 1983 32 it -PRON- PRP 39713 1983 33 were be VBD 39713 1983 34 , , , 39713 1983 35 the the DT 39713 1983 36 quintessence quintessence NN 39713 1983 37 of of IN 39713 1983 38 innumerable innumerable JJ 39713 1983 39 observations observation NNS 39713 1983 40 . . . 39713 1984 1 However however RB 39713 1984 2 , , , 39713 1984 3 from from IN 39713 1984 4 their -PRON- PRP$ 39713 1984 5 very very JJ 39713 1984 6 generality generality NN 39713 1984 7 a a DT 39713 1984 8 consequence consequence NN 39713 1984 9 results result VBZ 39713 1984 10 to to TO 39713 1984 11 which which WDT 39713 1984 12 I -PRON- PRP 39713 1984 13 have have VBP 39713 1984 14 called call VBN 39713 1984 15 attention attention NN 39713 1984 16 in in IN 39713 1984 17 Chapter chapter NN 39713 1984 18 VIII viii NN 39713 1984 19 , , , 39713 1984 20 namely namely RB 39713 1984 21 , , , 39713 1984 22 that that IN 39713 1984 23 they -PRON- PRP 39713 1984 24 can can MD 39713 1984 25 no no RB 39713 1984 26 longer longer RB 39713 1984 27 be be VB 39713 1984 28 verified verify VBN 39713 1984 29 . . . 39713 1985 1 As as IN 39713 1985 2 we -PRON- PRP 39713 1985 3 can can MD 39713 1985 4 not not RB 39713 1985 5 give give VB 39713 1985 6 a a DT 39713 1985 7 general general JJ 39713 1985 8 definition definition NN 39713 1985 9 of of IN 39713 1985 10 energy energy NN 39713 1985 11 , , , 39713 1985 12 the the DT 39713 1985 13 principle principle NN 39713 1985 14 of of IN 39713 1985 15 the the DT 39713 1985 16 conservation conservation NN 39713 1985 17 of of IN 39713 1985 18 energy energy NN 39713 1985 19 signifies signifie NNS 39713 1985 20 simply simply RB 39713 1985 21 that that IN 39713 1985 22 there there EX 39713 1985 23 is be VBZ 39713 1985 24 _ _ NNP 39713 1985 25 something something NN 39713 1985 26 _ _ NNP 39713 1985 27 which which WDT 39713 1985 28 remains remain VBZ 39713 1985 29 constant constant JJ 39713 1985 30 . . . 39713 1986 1 Well well UH 39713 1986 2 , , , 39713 1986 3 whatever whatever WDT 39713 1986 4 be be VB 39713 1986 5 the the DT 39713 1986 6 new new JJ 39713 1986 7 notions notion NNS 39713 1986 8 that that IN 39713 1986 9 future future JJ 39713 1986 10 experiments experiment NNS 39713 1986 11 shall shall MD 39713 1986 12 give give VB 39713 1986 13 us -PRON- PRP 39713 1986 14 about about IN 39713 1986 15 the the DT 39713 1986 16 world world NN 39713 1986 17 , , , 39713 1986 18 we -PRON- PRP 39713 1986 19 are be VBP 39713 1986 20 sure sure JJ 39713 1986 21 in in IN 39713 1986 22 advance advance NN 39713 1986 23 that that IN 39713 1986 24 there there EX 39713 1986 25 will will MD 39713 1986 26 be be VB 39713 1986 27 something something NN 39713 1986 28 there there RB 39713 1986 29 which which WDT 39713 1986 30 will will MD 39713 1986 31 remain remain VB 39713 1986 32 constant constant JJ 39713 1986 33 and and CC 39713 1986 34 which which WDT 39713 1986 35 may may MD 39713 1986 36 be be VB 39713 1986 37 called call VBN 39713 1986 38 _ _ NNP 39713 1986 39 energy energy NN 39713 1986 40 _ _ NNP 39713 1986 41 . . . 39713 1987 1 Is be VBZ 39713 1987 2 this this DT 39713 1987 3 to to TO 39713 1987 4 say say VB 39713 1987 5 that that IN 39713 1987 6 the the DT 39713 1987 7 principle principle NN 39713 1987 8 has have VBZ 39713 1987 9 no no DT 39713 1987 10 meaning meaning NN 39713 1987 11 and and CC 39713 1987 12 vanishes vanishe NNS 39713 1987 13 in in IN 39713 1987 14 a a DT 39713 1987 15 tautology tautology NN 39713 1987 16 ? ? . 39713 1988 1 Not not RB 39713 1988 2 at at RB 39713 1988 3 all all RB 39713 1988 4 ; ; : 39713 1988 5 it -PRON- PRP 39713 1988 6 signifies signify VBZ 39713 1988 7 that that IN 39713 1988 8 the the DT 39713 1988 9 different different JJ 39713 1988 10 things thing NNS 39713 1988 11 to to TO 39713 1988 12 which which WDT 39713 1988 13 we -PRON- PRP 39713 1988 14 give give VBP 39713 1988 15 the the DT 39713 1988 16 name name NN 39713 1988 17 of of IN 39713 1988 18 _ _ NNP 39713 1988 19 energy energy NN 39713 1988 20 _ _ NNP 39713 1988 21 are be VBP 39713 1988 22 connected connect VBN 39713 1988 23 by by IN 39713 1988 24 a a DT 39713 1988 25 true true JJ 39713 1988 26 kinship kinship NN 39713 1988 27 ; ; : 39713 1988 28 it -PRON- PRP 39713 1988 29 affirms affirm VBZ 39713 1988 30 a a DT 39713 1988 31 real real JJ 39713 1988 32 relation relation NN 39713 1988 33 between between IN 39713 1988 34 them -PRON- PRP 39713 1988 35 . . . 39713 1989 1 But but CC 39713 1989 2 then then RB 39713 1989 3 if if IN 39713 1989 4 this this DT 39713 1989 5 principle principle NN 39713 1989 6 has have VBZ 39713 1989 7 a a DT 39713 1989 8 meaning meaning NN 39713 1989 9 , , , 39713 1989 10 it -PRON- PRP 39713 1989 11 may may MD 39713 1989 12 be be VB 39713 1989 13 false false JJ 39713 1989 14 ; ; : 39713 1989 15 it -PRON- PRP 39713 1989 16 may may MD 39713 1989 17 be be VB 39713 1989 18 that that IN 39713 1989 19 we -PRON- PRP 39713 1989 20 have have VBP 39713 1989 21 not not RB 39713 1989 22 the the DT 39713 1989 23 right right NN 39713 1989 24 to to TO 39713 1989 25 extend extend VB 39713 1989 26 indefinitely indefinitely RB 39713 1989 27 its -PRON- PRP$ 39713 1989 28 applications application NNS 39713 1989 29 , , , 39713 1989 30 and and CC 39713 1989 31 yet yet RB 39713 1989 32 it -PRON- PRP 39713 1989 33 is be VBZ 39713 1989 34 certain certain JJ 39713 1989 35 beforehand beforehand RB 39713 1989 36 to to TO 39713 1989 37 be be VB 39713 1989 38 verified verify VBN 39713 1989 39 in in IN 39713 1989 40 the the DT 39713 1989 41 strict strict JJ 39713 1989 42 acceptation acceptation NN 39713 1989 43 of of IN 39713 1989 44 the the DT 39713 1989 45 term term NN 39713 1989 46 ; ; : 39713 1989 47 how how WRB 39713 1989 48 then then RB 39713 1989 49 shall shall MD 39713 1989 50 we -PRON- PRP 39713 1989 51 know know VB 39713 1989 52 when when WRB 39713 1989 53 it -PRON- PRP 39713 1989 54 shall shall MD 39713 1989 55 have have VB 39713 1989 56 attained attain VBN 39713 1989 57 all all PDT 39713 1989 58 the the DT 39713 1989 59 extension extension NN 39713 1989 60 which which WDT 39713 1989 61 can can MD 39713 1989 62 legitimately legitimately RB 39713 1989 63 be be VB 39713 1989 64 given give VBN 39713 1989 65 it -PRON- PRP 39713 1989 66 ? ? . 39713 1990 1 Just just RB 39713 1990 2 simply simply RB 39713 1990 3 when when WRB 39713 1990 4 it -PRON- PRP 39713 1990 5 shall shall MD 39713 1990 6 cease cease VB 39713 1990 7 to to TO 39713 1990 8 be be VB 39713 1990 9 useful useful JJ 39713 1990 10 to to IN 39713 1990 11 us -PRON- PRP 39713 1990 12 , , , 39713 1990 13 that that RB 39713 1990 14 is is RB 39713 1990 15 , , , 39713 1990 16 to to TO 39713 1990 17 make make VB 39713 1990 18 us -PRON- PRP 39713 1990 19 correctly correctly RB 39713 1990 20 foresee foresee VB 39713 1990 21 new new JJ 39713 1990 22 phenomena phenomenon NNS 39713 1990 23 . . . 39713 1991 1 We -PRON- PRP 39713 1991 2 shall shall MD 39713 1991 3 be be VB 39713 1991 4 sure sure JJ 39713 1991 5 in in IN 39713 1991 6 such such PDT 39713 1991 7 a a DT 39713 1991 8 case case NN 39713 1991 9 that that IN 39713 1991 10 the the DT 39713 1991 11 relation relation NN 39713 1991 12 affirmed affirm VBN 39713 1991 13 is be VBZ 39713 1991 14 no no DT 39713 1991 15 longer long RBR 39713 1991 16 real real JJ 39713 1991 17 ; ; : 39713 1991 18 for for IN 39713 1991 19 otherwise otherwise RB 39713 1991 20 it -PRON- PRP 39713 1991 21 would would MD 39713 1991 22 be be VB 39713 1991 23 fruitful fruitful JJ 39713 1991 24 ; ; : 39713 1991 25 experiment experiment NN 39713 1991 26 , , , 39713 1991 27 without without IN 39713 1991 28 directly directly RB 39713 1991 29 contradicting contradict VBG 39713 1991 30 a a DT 39713 1991 31 new new JJ 39713 1991 32 extension extension NN 39713 1991 33 of of IN 39713 1991 34 the the DT 39713 1991 35 principle principle NN 39713 1991 36 , , , 39713 1991 37 will will MD 39713 1991 38 yet yet RB 39713 1991 39 have have VB 39713 1991 40 condemned condemn VBN 39713 1991 41 it -PRON- PRP 39713 1991 42 . . . 39713 1992 1 PHYSICS physic NNS 39713 1992 2 AND and CC 39713 1992 3 MECHANISM.--Most mechanism.--most NN 39713 1992 4 theorists theorist NNS 39713 1992 5 have have VBP 39713 1992 6 a a DT 39713 1992 7 constant constant JJ 39713 1992 8 predilection predilection NN 39713 1992 9 for for IN 39713 1992 10 explanations explanation NNS 39713 1992 11 borrowed borrow VBN 39713 1992 12 from from IN 39713 1992 13 mechanics mechanic NNS 39713 1992 14 or or CC 39713 1992 15 dynamics dynamic NNS 39713 1992 16 . . . 39713 1993 1 Some some DT 39713 1993 2 would would MD 39713 1993 3 be be VB 39713 1993 4 satisfied satisfied JJ 39713 1993 5 if if IN 39713 1993 6 they -PRON- PRP 39713 1993 7 could could MD 39713 1993 8 explain explain VB 39713 1993 9 all all DT 39713 1993 10 phenomena phenomenon NNS 39713 1993 11 by by IN 39713 1993 12 motions motion NNS 39713 1993 13 of of IN 39713 1993 14 molecules molecule NNS 39713 1993 15 attracting attract VBG 39713 1993 16 each each DT 39713 1993 17 other other JJ 39713 1993 18 according accord VBG 39713 1993 19 to to IN 39713 1993 20 certain certain JJ 39713 1993 21 laws law NNS 39713 1993 22 . . . 39713 1994 1 Others other NNS 39713 1994 2 are be VBP 39713 1994 3 more more RBR 39713 1994 4 exacting exacting JJ 39713 1994 5 ; ; : 39713 1994 6 they -PRON- PRP 39713 1994 7 would would MD 39713 1994 8 suppress suppress VB 39713 1994 9 attractions attraction NNS 39713 1994 10 at at IN 39713 1994 11 a a DT 39713 1994 12 distance distance NN 39713 1994 13 ; ; : 39713 1994 14 their -PRON- PRP$ 39713 1994 15 molecules molecule NNS 39713 1994 16 should should MD 39713 1994 17 follow follow VB 39713 1994 18 rectilinear rectilinear JJ 39713 1994 19 paths path NNS 39713 1994 20 from from IN 39713 1994 21 which which WDT 39713 1994 22 they -PRON- PRP 39713 1994 23 could could MD 39713 1994 24 be be VB 39713 1994 25 made make VBN 39713 1994 26 to to TO 39713 1994 27 deviate deviate VB 39713 1994 28 only only RB 39713 1994 29 by by IN 39713 1994 30 impacts impact NNS 39713 1994 31 . . . 39713 1995 1 Others other NNS 39713 1995 2 again again RB 39713 1995 3 , , , 39713 1995 4 like like IN 39713 1995 5 Hertz Hertz NNP 39713 1995 6 , , , 39713 1995 7 suppress suppress JJ 39713 1995 8 forces force NNS 39713 1995 9 also also RB 39713 1995 10 , , , 39713 1995 11 but but CC 39713 1995 12 suppose suppose VB 39713 1995 13 their -PRON- PRP$ 39713 1995 14 molecules molecule NNS 39713 1995 15 subjected subject VBN 39713 1995 16 to to IN 39713 1995 17 geometric geometric JJ 39713 1995 18 attachments attachment NNS 39713 1995 19 analogous analogous JJ 39713 1995 20 , , , 39713 1995 21 for for IN 39713 1995 22 instance instance NN 39713 1995 23 , , , 39713 1995 24 to to IN 39713 1995 25 those those DT 39713 1995 26 of of IN 39713 1995 27 our -PRON- PRP$ 39713 1995 28 linkages linkage NNS 39713 1995 29 ; ; : 39713 1995 30 they -PRON- PRP 39713 1995 31 try try VBP 39713 1995 32 thus thus RB 39713 1995 33 to to TO 39713 1995 34 reduce reduce VB 39713 1995 35 dynamics dynamic NNS 39713 1995 36 to to IN 39713 1995 37 a a DT 39713 1995 38 sort sort NN 39713 1995 39 of of IN 39713 1995 40 kinematics kinematic NNS 39713 1995 41 . . . 39713 1996 1 In in IN 39713 1996 2 a a DT 39713 1996 3 word word NN 39713 1996 4 , , , 39713 1996 5 all all DT 39713 1996 6 would would MD 39713 1996 7 bend bend VB 39713 1996 8 nature nature NN 39713 1996 9 into into IN 39713 1996 10 a a DT 39713 1996 11 certain certain JJ 39713 1996 12 form form NN 39713 1996 13 outside outside IN 39713 1996 14 of of IN 39713 1996 15 which which WDT 39713 1996 16 their -PRON- PRP$ 39713 1996 17 mind mind NN 39713 1996 18 could could MD 39713 1996 19 not not RB 39713 1996 20 feel feel VB 39713 1996 21 satisfied satisfied JJ 39713 1996 22 . . . 39713 1997 1 Will Will MD 39713 1997 2 nature nature NN 39713 1997 3 be be VB 39713 1997 4 sufficiently sufficiently RB 39713 1997 5 flexible flexible JJ 39713 1997 6 for for IN 39713 1997 7 that that DT 39713 1997 8 ? ? . 39713 1998 1 We -PRON- PRP 39713 1998 2 shall shall MD 39713 1998 3 examine examine VB 39713 1998 4 this this DT 39713 1998 5 question question NN 39713 1998 6 in in IN 39713 1998 7 Chapter Chapter NNP 39713 1998 8 XII XII NNP 39713 1998 9 , , , 39713 1998 10 _ _ NNP 39713 1998 11 à à NNP 39713 1998 12 propos propos NN 39713 1998 13 _ _ NNP 39713 1998 14 of of IN 39713 1998 15 Maxwell Maxwell NNP 39713 1998 16 's 's POS 39713 1998 17 theory theory NN 39713 1998 18 . . . 39713 1999 1 Whenever whenever WRB 39713 1999 2 the the DT 39713 1999 3 principles principle NNS 39713 1999 4 of of IN 39713 1999 5 energy energy NN 39713 1999 6 and and CC 39713 1999 7 of of IN 39713 1999 8 least least JJS 39713 1999 9 action action NN 39713 1999 10 are be VBP 39713 1999 11 satisfied satisfied JJ 39713 1999 12 , , , 39713 1999 13 we -PRON- PRP 39713 1999 14 shall shall MD 39713 1999 15 see see VB 39713 1999 16 not not RB 39713 1999 17 only only RB 39713 1999 18 that that IN 39713 1999 19 there there EX 39713 1999 20 is be VBZ 39713 1999 21 always always RB 39713 1999 22 one one CD 39713 1999 23 possible possible JJ 39713 1999 24 mechanical mechanical JJ 39713 1999 25 explanation explanation NN 39713 1999 26 , , , 39713 1999 27 but but CC 39713 1999 28 that that IN 39713 1999 29 there there EX 39713 1999 30 is be VBZ 39713 1999 31 always always RB 39713 1999 32 an an DT 39713 1999 33 infinity infinity NN 39713 1999 34 of of IN 39713 1999 35 them -PRON- PRP 39713 1999 36 . . . 39713 2000 1 Thanks thank NNS 39713 2000 2 to to IN 39713 2000 3 a a DT 39713 2000 4 well well RB 39713 2000 5 - - HYPH 39713 2000 6 known know VBN 39713 2000 7 theorem theorem NN 39713 2000 8 of of IN 39713 2000 9 König König NNP 39713 2000 10 's 's POS 39713 2000 11 on on IN 39713 2000 12 linkages linkage NNS 39713 2000 13 , , , 39713 2000 14 it -PRON- PRP 39713 2000 15 could could MD 39713 2000 16 be be VB 39713 2000 17 shown show VBN 39713 2000 18 that that IN 39713 2000 19 we -PRON- PRP 39713 2000 20 can can MD 39713 2000 21 , , , 39713 2000 22 in in IN 39713 2000 23 an an DT 39713 2000 24 infinity infinity NN 39713 2000 25 of of IN 39713 2000 26 ways way NNS 39713 2000 27 , , , 39713 2000 28 explain explain VB 39713 2000 29 everything everything NN 39713 2000 30 by by IN 39713 2000 31 attachments attachment NNS 39713 2000 32 after after IN 39713 2000 33 the the DT 39713 2000 34 manner manner NN 39713 2000 35 of of IN 39713 2000 36 Hertz Hertz NNP 39713 2000 37 , , , 39713 2000 38 or or CC 39713 2000 39 also also RB 39713 2000 40 by by IN 39713 2000 41 central central JJ 39713 2000 42 forces force NNS 39713 2000 43 . . . 39713 2001 1 Without without IN 39713 2001 2 doubt doubt NN 39713 2001 3 it -PRON- PRP 39713 2001 4 could could MD 39713 2001 5 be be VB 39713 2001 6 demonstrated demonstrate VBN 39713 2001 7 just just RB 39713 2001 8 as as RB 39713 2001 9 easily easily RB 39713 2001 10 that that IN 39713 2001 11 everything everything NN 39713 2001 12 can can MD 39713 2001 13 always always RB 39713 2001 14 be be VB 39713 2001 15 explained explain VBN 39713 2001 16 by by IN 39713 2001 17 simple simple JJ 39713 2001 18 impacts impact NNS 39713 2001 19 . . . 39713 2002 1 For for IN 39713 2002 2 that that DT 39713 2002 3 , , , 39713 2002 4 of of IN 39713 2002 5 course course NN 39713 2002 6 , , , 39713 2002 7 we -PRON- PRP 39713 2002 8 need need VBP 39713 2002 9 not not RB 39713 2002 10 be be VB 39713 2002 11 content content JJ 39713 2002 12 with with IN 39713 2002 13 ordinary ordinary JJ 39713 2002 14 matter matter NN 39713 2002 15 , , , 39713 2002 16 with with IN 39713 2002 17 that that DT 39713 2002 18 which which WDT 39713 2002 19 falls fall VBZ 39713 2002 20 under under IN 39713 2002 21 our -PRON- PRP$ 39713 2002 22 senses sense NNS 39713 2002 23 and and CC 39713 2002 24 whose whose WP$ 39713 2002 25 motions motion NNS 39713 2002 26 we -PRON- PRP 39713 2002 27 observe observe VBP 39713 2002 28 directly directly RB 39713 2002 29 . . . 39713 2003 1 Either either CC 39713 2003 2 we -PRON- PRP 39713 2003 3 shall shall MD 39713 2003 4 suppose suppose VB 39713 2003 5 that that IN 39713 2003 6 this this DT 39713 2003 7 common common JJ 39713 2003 8 matter matter NN 39713 2003 9 is be VBZ 39713 2003 10 formed form VBN 39713 2003 11 of of IN 39713 2003 12 atoms atom NNS 39713 2003 13 whose whose WP$ 39713 2003 14 internal internal JJ 39713 2003 15 motions motion NNS 39713 2003 16 elude elude VBP 39713 2003 17 us -PRON- PRP 39713 2003 18 , , , 39713 2003 19 the the DT 39713 2003 20 displacement displacement NN 39713 2003 21 of of IN 39713 2003 22 the the DT 39713 2003 23 totality totality NN 39713 2003 24 alone alone RB 39713 2003 25 remaining remain VBG 39713 2003 26 accessible accessible JJ 39713 2003 27 to to IN 39713 2003 28 our -PRON- PRP$ 39713 2003 29 senses sense NNS 39713 2003 30 . . . 39713 2004 1 Or or CC 39713 2004 2 else else RB 39713 2004 3 we -PRON- PRP 39713 2004 4 shall shall MD 39713 2004 5 imagine imagine VB 39713 2004 6 some some DT 39713 2004 7 one one CD 39713 2004 8 of of IN 39713 2004 9 those those DT 39713 2004 10 subtile subtile NN 39713 2004 11 fluids fluid NNS 39713 2004 12 which which WDT 39713 2004 13 under under IN 39713 2004 14 the the DT 39713 2004 15 name name NN 39713 2004 16 of of IN 39713 2004 17 _ _ NNP 39713 2004 18 ether ether NN 39713 2004 19 _ _ NNP 39713 2004 20 or or CC 39713 2004 21 under under IN 39713 2004 22 other other JJ 39713 2004 23 names name NNS 39713 2004 24 , , , 39713 2004 25 have have VBP 39713 2004 26 at at IN 39713 2004 27 all all DT 39713 2004 28 times time NNS 39713 2004 29 played play VBN 39713 2004 30 so so RB 39713 2004 31 great great RB 39713 2004 32 a a DT 39713 2004 33 rôle rôle NN 39713 2004 34 in in IN 39713 2004 35 physical physical JJ 39713 2004 36 theories theory NNS 39713 2004 37 . . . 39713 2005 1 Often often RB 39713 2005 2 one one PRP 39713 2005 3 goes go VBZ 39713 2005 4 further far RBR 39713 2005 5 and and CC 39713 2005 6 regards regard VBZ 39713 2005 7 the the DT 39713 2005 8 ether ether NN 39713 2005 9 as as IN 39713 2005 10 the the DT 39713 2005 11 sole sole JJ 39713 2005 12 primitive primitive JJ 39713 2005 13 matter matter NN 39713 2005 14 or or CC 39713 2005 15 even even RB 39713 2005 16 as as IN 39713 2005 17 the the DT 39713 2005 18 only only JJ 39713 2005 19 true true JJ 39713 2005 20 matter matter NN 39713 2005 21 . . . 39713 2006 1 The the DT 39713 2006 2 more more RBR 39713 2006 3 moderate moderate JJ 39713 2006 4 consider consider VB 39713 2006 5 common common JJ 39713 2006 6 matter matter NN 39713 2006 7 as as IN 39713 2006 8 condensed condense VBN 39713 2006 9 ether ether NN 39713 2006 10 , , , 39713 2006 11 which which WDT 39713 2006 12 is be VBZ 39713 2006 13 nothing nothing NN 39713 2006 14 startling startling JJ 39713 2006 15 ; ; : 39713 2006 16 but but CC 39713 2006 17 others other NNS 39713 2006 18 reduce reduce VBP 39713 2006 19 still still RB 39713 2006 20 further far RBR 39713 2006 21 its -PRON- PRP$ 39713 2006 22 importance importance NN 39713 2006 23 and and CC 39713 2006 24 see see VB 39713 2006 25 in in IN 39713 2006 26 it -PRON- PRP 39713 2006 27 nothing nothing NN 39713 2006 28 more more JJR 39713 2006 29 than than IN 39713 2006 30 the the DT 39713 2006 31 geometric geometric JJ 39713 2006 32 locus locus NN 39713 2006 33 of of IN 39713 2006 34 the the DT 39713 2006 35 ether ether NN 39713 2006 36 's 's POS 39713 2006 37 singularities singularity NNS 39713 2006 38 . . . 39713 2007 1 For for IN 39713 2007 2 instance instance NN 39713 2007 3 , , , 39713 2007 4 what what WP 39713 2007 5 we -PRON- PRP 39713 2007 6 call call VBP 39713 2007 7 _ _ NNP 39713 2007 8 matter matter NN 39713 2007 9 _ _ NNP 39713 2007 10 is be VBZ 39713 2007 11 for for IN 39713 2007 12 Lord Lord NNP 39713 2007 13 Kelvin Kelvin NNP 39713 2007 14 only only RB 39713 2007 15 the the DT 39713 2007 16 locus locus NN 39713 2007 17 of of IN 39713 2007 18 points point NNS 39713 2007 19 where where WRB 39713 2007 20 the the DT 39713 2007 21 ether ether NN 39713 2007 22 is be VBZ 39713 2007 23 animated animate VBN 39713 2007 24 by by IN 39713 2007 25 vortex vortex NN 39713 2007 26 motions motion NNS 39713 2007 27 ; ; , 39713 2007 28 for for IN 39713 2007 29 Riemann Riemann NNP 39713 2007 30 , , , 39713 2007 31 it -PRON- PRP 39713 2007 32 was be VBD 39713 2007 33 the the DT 39713 2007 34 locus locus NN 39713 2007 35 of of IN 39713 2007 36 points point NNS 39713 2007 37 where where WRB 39713 2007 38 ether ether NN 39713 2007 39 is be VBZ 39713 2007 40 constantly constantly RB 39713 2007 41 destroyed destroy VBN 39713 2007 42 ; ; : 39713 2007 43 for for IN 39713 2007 44 other other JJ 39713 2007 45 more more RBR 39713 2007 46 recent recent JJ 39713 2007 47 authors author NNS 39713 2007 48 , , , 39713 2007 49 Wiechert Wiechert NNP 39713 2007 50 or or CC 39713 2007 51 Larmor Larmor NNP 39713 2007 52 , , , 39713 2007 53 it -PRON- PRP 39713 2007 54 is be VBZ 39713 2007 55 the the DT 39713 2007 56 locus locus NN 39713 2007 57 of of IN 39713 2007 58 points point NNS 39713 2007 59 where where WRB 39713 2007 60 the the DT 39713 2007 61 ether ether NN 39713 2007 62 undergoes undergo VBZ 39713 2007 63 a a DT 39713 2007 64 sort sort NN 39713 2007 65 of of IN 39713 2007 66 torsion torsion NN 39713 2007 67 of of IN 39713 2007 68 a a DT 39713 2007 69 very very RB 39713 2007 70 particular particular JJ 39713 2007 71 nature nature NN 39713 2007 72 . . . 39713 2008 1 If if IN 39713 2008 2 the the DT 39713 2008 3 attempt attempt NN 39713 2008 4 is be VBZ 39713 2008 5 made make VBN 39713 2008 6 to to TO 39713 2008 7 occupy occupy VB 39713 2008 8 one one CD 39713 2008 9 of of IN 39713 2008 10 these these DT 39713 2008 11 points point NNS 39713 2008 12 of of IN 39713 2008 13 view view NN 39713 2008 14 , , , 39713 2008 15 I -PRON- PRP 39713 2008 16 ask ask VBP 39713 2008 17 myself -PRON- PRP 39713 2008 18 by by IN 39713 2008 19 what what WP 39713 2008 20 right right NN 39713 2008 21 shall shall MD 39713 2008 22 we -PRON- PRP 39713 2008 23 extend extend VB 39713 2008 24 to to IN 39713 2008 25 the the DT 39713 2008 26 ether ether NN 39713 2008 27 , , , 39713 2008 28 under under IN 39713 2008 29 pretext pretext NN 39713 2008 30 that that IN 39713 2008 31 this this DT 39713 2008 32 is be VBZ 39713 2008 33 the the DT 39713 2008 34 true true JJ 39713 2008 35 matter matter NN 39713 2008 36 , , , 39713 2008 37 mechanical mechanical JJ 39713 2008 38 properties property NNS 39713 2008 39 observed observe VBN 39713 2008 40 in in IN 39713 2008 41 ordinary ordinary JJ 39713 2008 42 matter matter NN 39713 2008 43 , , , 39713 2008 44 which which WDT 39713 2008 45 is be VBZ 39713 2008 46 only only RB 39713 2008 47 false false JJ 39713 2008 48 matter matter NN 39713 2008 49 . . . 39713 2009 1 The the DT 39713 2009 2 ancient ancient JJ 39713 2009 3 fluids fluid NNS 39713 2009 4 , , , 39713 2009 5 caloric caloric JJ 39713 2009 6 , , , 39713 2009 7 electricity electricity NN 39713 2009 8 , , , 39713 2009 9 etc etc FW 39713 2009 10 . . . 39713 2009 11 , , , 39713 2009 12 were be VBD 39713 2009 13 abandoned abandon VBN 39713 2009 14 when when WRB 39713 2009 15 it -PRON- PRP 39713 2009 16 was be VBD 39713 2009 17 perceived perceive VBN 39713 2009 18 that that IN 39713 2009 19 heat heat NN 39713 2009 20 is be VBZ 39713 2009 21 not not RB 39713 2009 22 indestructible indestructible JJ 39713 2009 23 . . . 39713 2010 1 But but CC 39713 2010 2 they -PRON- PRP 39713 2010 3 were be VBD 39713 2010 4 abandoned abandon VBN 39713 2010 5 for for IN 39713 2010 6 another another DT 39713 2010 7 reason reason NN 39713 2010 8 also also RB 39713 2010 9 . . . 39713 2011 1 In in IN 39713 2011 2 materializing materialize VBG 39713 2011 3 them -PRON- PRP 39713 2011 4 , , , 39713 2011 5 their -PRON- PRP$ 39713 2011 6 individuality individuality NN 39713 2011 7 was be VBD 39713 2011 8 , , , 39713 2011 9 so so RB 39713 2011 10 to to TO 39713 2011 11 speak speak VB 39713 2011 12 , , , 39713 2011 13 emphasized emphasize VBN 39713 2011 14 , , , 39713 2011 15 a a DT 39713 2011 16 sort sort NN 39713 2011 17 of of IN 39713 2011 18 abyss abyss NN 39713 2011 19 was be VBD 39713 2011 20 opened open VBN 39713 2011 21 between between IN 39713 2011 22 them -PRON- PRP 39713 2011 23 . . . 39713 2012 1 This this DT 39713 2012 2 had have VBD 39713 2012 3 to to TO 39713 2012 4 be be VB 39713 2012 5 filled fill VBN 39713 2012 6 up up RP 39713 2012 7 on on IN 39713 2012 8 the the DT 39713 2012 9 coming coming NN 39713 2012 10 of of IN 39713 2012 11 a a DT 39713 2012 12 more more RBR 39713 2012 13 vivid vivid JJ 39713 2012 14 feeling feeling NN 39713 2012 15 of of IN 39713 2012 16 the the DT 39713 2012 17 unity unity NN 39713 2012 18 of of IN 39713 2012 19 nature nature NN 39713 2012 20 , , , 39713 2012 21 and and CC 39713 2012 22 the the DT 39713 2012 23 perception perception NN 39713 2012 24 of of IN 39713 2012 25 the the DT 39713 2012 26 intimate intimate JJ 39713 2012 27 relations relation NNS 39713 2012 28 which which WDT 39713 2012 29 bind bind VBP 39713 2012 30 together together RB 39713 2012 31 all all PDT 39713 2012 32 its -PRON- PRP$ 39713 2012 33 parts part NNS 39713 2012 34 . . . 39713 2013 1 Not not RB 39713 2013 2 only only RB 39713 2013 3 did do VBD 39713 2013 4 the the DT 39713 2013 5 old old JJ 39713 2013 6 physicists physicist NNS 39713 2013 7 , , , 39713 2013 8 in in IN 39713 2013 9 multiplying multiply VBG 39713 2013 10 fluids fluid NNS 39713 2013 11 , , , 39713 2013 12 create create VB 39713 2013 13 entities entity NNS 39713 2013 14 unnecessarily unnecessarily RB 39713 2013 15 , , , 39713 2013 16 but but CC 39713 2013 17 they -PRON- PRP 39713 2013 18 broke break VBD 39713 2013 19 real real JJ 39713 2013 20 ties tie NNS 39713 2013 21 . . . 39713 2014 1 It -PRON- PRP 39713 2014 2 is be VBZ 39713 2014 3 not not RB 39713 2014 4 sufficient sufficient JJ 39713 2014 5 for for IN 39713 2014 6 a a DT 39713 2014 7 theory theory NN 39713 2014 8 to to TO 39713 2014 9 affirm affirm VB 39713 2014 10 no no DT 39713 2014 11 false false JJ 39713 2014 12 relations relation NNS 39713 2014 13 , , , 39713 2014 14 it -PRON- PRP 39713 2014 15 must must MD 39713 2014 16 not not RB 39713 2014 17 hide hide VB 39713 2014 18 true true JJ 39713 2014 19 relations relation NNS 39713 2014 20 . . . 39713 2015 1 And and CC 39713 2015 2 does do VBZ 39713 2015 3 our -PRON- PRP$ 39713 2015 4 ether ether NN 39713 2015 5 really really RB 39713 2015 6 exist exist VB 39713 2015 7 ? ? . 39713 2016 1 We -PRON- PRP 39713 2016 2 know know VBP 39713 2016 3 the the DT 39713 2016 4 origin origin NN 39713 2016 5 of of IN 39713 2016 6 our -PRON- PRP$ 39713 2016 7 belief belief NN 39713 2016 8 in in IN 39713 2016 9 the the DT 39713 2016 10 ether ether NN 39713 2016 11 . . . 39713 2017 1 If if IN 39713 2017 2 light light NN 39713 2017 3 reaches reach VBZ 39713 2017 4 us -PRON- PRP 39713 2017 5 from from IN 39713 2017 6 a a DT 39713 2017 7 distant distant JJ 39713 2017 8 star star NN 39713 2017 9 , , , 39713 2017 10 during during IN 39713 2017 11 several several JJ 39713 2017 12 years year NNS 39713 2017 13 it -PRON- PRP 39713 2017 14 was be VBD 39713 2017 15 no no RB 39713 2017 16 longer longer RB 39713 2017 17 on on IN 39713 2017 18 the the DT 39713 2017 19 star star NN 39713 2017 20 and and CC 39713 2017 21 not not RB 39713 2017 22 yet yet RB 39713 2017 23 on on IN 39713 2017 24 the the DT 39713 2017 25 earth earth NN 39713 2017 26 ; ; : 39713 2017 27 it -PRON- PRP 39713 2017 28 must must MD 39713 2017 29 then then RB 39713 2017 30 be be VB 39713 2017 31 somewhere somewhere RB 39713 2017 32 and and CC 39713 2017 33 sustained sustain VBN 39713 2017 34 , , , 39713 2017 35 so so RB 39713 2017 36 to to TO 39713 2017 37 speak speak VB 39713 2017 38 , , , 39713 2017 39 by by IN 39713 2017 40 some some DT 39713 2017 41 material material NN 39713 2017 42 support support NN 39713 2017 43 . . . 39713 2018 1 The the DT 39713 2018 2 same same JJ 39713 2018 3 idea idea NN 39713 2018 4 may may MD 39713 2018 5 be be VB 39713 2018 6 expressed express VBN 39713 2018 7 under under IN 39713 2018 8 a a DT 39713 2018 9 more more RBR 39713 2018 10 mathematical mathematical JJ 39713 2018 11 and and CC 39713 2018 12 more more RBR 39713 2018 13 abstract abstract JJ 39713 2018 14 form form NN 39713 2018 15 . . . 39713 2019 1 What what WP 39713 2019 2 we -PRON- PRP 39713 2019 3 ascertain ascertain VBP 39713 2019 4 are be VBP 39713 2019 5 the the DT 39713 2019 6 changes change NNS 39713 2019 7 undergone undergo VBN 39713 2019 8 by by IN 39713 2019 9 material material JJ 39713 2019 10 molecules molecule NNS 39713 2019 11 ; ; : 39713 2019 12 we -PRON- PRP 39713 2019 13 see see VBP 39713 2019 14 , , , 39713 2019 15 for for IN 39713 2019 16 instance instance NN 39713 2019 17 , , , 39713 2019 18 that that IN 39713 2019 19 our -PRON- PRP$ 39713 2019 20 photographic photographic JJ 39713 2019 21 plate plate NN 39713 2019 22 feels feel VBZ 39713 2019 23 the the DT 39713 2019 24 consequences consequence NNS 39713 2019 25 of of IN 39713 2019 26 phenomena phenomenon NNS 39713 2019 27 of of IN 39713 2019 28 which which WDT 39713 2019 29 the the DT 39713 2019 30 incandescent incandescent JJ 39713 2019 31 mass mass NN 39713 2019 32 of of IN 39713 2019 33 the the DT 39713 2019 34 star star NN 39713 2019 35 was be VBD 39713 2019 36 the the DT 39713 2019 37 theater theater NN 39713 2019 38 several several JJ 39713 2019 39 years year NNS 39713 2019 40 before before RB 39713 2019 41 . . . 39713 2020 1 Now now RB 39713 2020 2 , , , 39713 2020 3 in in IN 39713 2020 4 ordinary ordinary JJ 39713 2020 5 mechanics mechanic NNS 39713 2020 6 the the DT 39713 2020 7 state state NN 39713 2020 8 of of IN 39713 2020 9 the the DT 39713 2020 10 system system NN 39713 2020 11 studied study VBD 39713 2020 12 depends depend VBZ 39713 2020 13 only only RB 39713 2020 14 on on IN 39713 2020 15 its -PRON- PRP$ 39713 2020 16 state state NN 39713 2020 17 at at IN 39713 2020 18 an an DT 39713 2020 19 instant instant NN 39713 2020 20 immediately immediately RB 39713 2020 21 anterior anterior JJ 39713 2020 22 ; ; : 39713 2020 23 therefore therefore RB 39713 2020 24 the the DT 39713 2020 25 system system NN 39713 2020 26 satisfies satisfy VBZ 39713 2020 27 differential differential NN 39713 2020 28 equations equation NNS 39713 2020 29 . . . 39713 2021 1 On on IN 39713 2021 2 the the DT 39713 2021 3 contrary contrary NN 39713 2021 4 , , , 39713 2021 5 if if IN 39713 2021 6 we -PRON- PRP 39713 2021 7 should should MD 39713 2021 8 not not RB 39713 2021 9 believe believe VB 39713 2021 10 in in IN 39713 2021 11 the the DT 39713 2021 12 ether ether NN 39713 2021 13 , , , 39713 2021 14 the the DT 39713 2021 15 state state NN 39713 2021 16 of of IN 39713 2021 17 the the DT 39713 2021 18 material material JJ 39713 2021 19 universe universe NN 39713 2021 20 would would MD 39713 2021 21 depend depend VB 39713 2021 22 not not RB 39713 2021 23 only only RB 39713 2021 24 on on IN 39713 2021 25 the the DT 39713 2021 26 state state NN 39713 2021 27 immediately immediately RB 39713 2021 28 preceding precede VBG 39713 2021 29 , , , 39713 2021 30 but but CC 39713 2021 31 on on IN 39713 2021 32 states state NNS 39713 2021 33 much much RB 39713 2021 34 older old JJR 39713 2021 35 ; ; : 39713 2021 36 the the DT 39713 2021 37 system system NN 39713 2021 38 would would MD 39713 2021 39 satisfy satisfy VB 39713 2021 40 equations equation NNS 39713 2021 41 of of IN 39713 2021 42 finite finite JJ 39713 2021 43 differences difference NNS 39713 2021 44 . . . 39713 2022 1 It -PRON- PRP 39713 2022 2 is be VBZ 39713 2022 3 to to TO 39713 2022 4 escape escape VB 39713 2022 5 this this DT 39713 2022 6 derogation derogation NN 39713 2022 7 of of IN 39713 2022 8 the the DT 39713 2022 9 general general JJ 39713 2022 10 laws law NNS 39713 2022 11 of of IN 39713 2022 12 mechanics mechanic NNS 39713 2022 13 that that WDT 39713 2022 14 we -PRON- PRP 39713 2022 15 have have VBP 39713 2022 16 invented invent VBN 39713 2022 17 the the DT 39713 2022 18 ether ether NN 39713 2022 19 . . . 39713 2023 1 That that DT 39713 2023 2 would would MD 39713 2023 3 still still RB 39713 2023 4 only only RB 39713 2023 5 oblige oblige VB 39713 2023 6 us -PRON- PRP 39713 2023 7 to to TO 39713 2023 8 fill fill VB 39713 2023 9 up up RP 39713 2023 10 , , , 39713 2023 11 with with IN 39713 2023 12 the the DT 39713 2023 13 ether ether NN 39713 2023 14 , , , 39713 2023 15 the the DT 39713 2023 16 interplanetary interplanetary JJ 39713 2023 17 void void NN 39713 2023 18 , , , 39713 2023 19 but but CC 39713 2023 20 not not RB 39713 2023 21 to to TO 39713 2023 22 make make VB 39713 2023 23 it -PRON- PRP 39713 2023 24 penetrate penetrate VB 39713 2023 25 the the DT 39713 2023 26 bosom bosom NN 39713 2023 27 of of IN 39713 2023 28 the the DT 39713 2023 29 material material NN 39713 2023 30 media medium NNS 39713 2023 31 themselves -PRON- PRP 39713 2023 32 . . . 39713 2024 1 Fizeau Fizeau NNP 39713 2024 2 's 's POS 39713 2024 3 experiment experiment NN 39713 2024 4 goes go VBZ 39713 2024 5 further further RB 39713 2024 6 . . . 39713 2025 1 By by IN 39713 2025 2 the the DT 39713 2025 3 interference interference NN 39713 2025 4 of of IN 39713 2025 5 rays ray NNS 39713 2025 6 which which WDT 39713 2025 7 have have VBP 39713 2025 8 traversed traverse VBN 39713 2025 9 air air NN 39713 2025 10 or or CC 39713 2025 11 water water NN 39713 2025 12 in in IN 39713 2025 13 motion motion NN 39713 2025 14 , , , 39713 2025 15 it -PRON- PRP 39713 2025 16 seems seem VBZ 39713 2025 17 to to TO 39713 2025 18 show show VB 39713 2025 19 us -PRON- PRP 39713 2025 20 two two CD 39713 2025 21 different different JJ 39713 2025 22 media medium NNS 39713 2025 23 interpenetrating interpenetrating NN 39713 2025 24 and and CC 39713 2025 25 yet yet RB 39713 2025 26 changing change VBG 39713 2025 27 place place NN 39713 2025 28 one one CD 39713 2025 29 with with IN 39713 2025 30 regard regard NN 39713 2025 31 to to IN 39713 2025 32 the the DT 39713 2025 33 other other JJ 39713 2025 34 . . . 39713 2026 1 We -PRON- PRP 39713 2026 2 seem seem VBP 39713 2026 3 to to TO 39713 2026 4 touch touch VB 39713 2026 5 the the DT 39713 2026 6 ether ether NN 39713 2026 7 with with IN 39713 2026 8 the the DT 39713 2026 9 finger finger NN 39713 2026 10 . . . 39713 2027 1 Yet yet CC 39713 2027 2 experiments experiment NNS 39713 2027 3 may may MD 39713 2027 4 be be VB 39713 2027 5 conceived conceive VBN 39713 2027 6 which which WDT 39713 2027 7 would would MD 39713 2027 8 make make VB 39713 2027 9 us -PRON- PRP 39713 2027 10 touch touch VB 39713 2027 11 it -PRON- PRP 39713 2027 12 still still RB 39713 2027 13 more more RBR 39713 2027 14 nearly nearly RB 39713 2027 15 . . . 39713 2028 1 Suppose suppose VB 39713 2028 2 Newton Newton NNP 39713 2028 3 's 's POS 39713 2028 4 principle principle NN 39713 2028 5 , , , 39713 2028 6 of of IN 39713 2028 7 the the DT 39713 2028 8 equality equality NN 39713 2028 9 of of IN 39713 2028 10 action action NN 39713 2028 11 and and CC 39713 2028 12 reaction reaction NN 39713 2028 13 , , , 39713 2028 14 no no RB 39713 2028 15 longer longer RB 39713 2028 16 true true JJ 39713 2028 17 if if IN 39713 2028 18 applied apply VBN 39713 2028 19 to to IN 39713 2028 20 matter matter NN 39713 2028 21 _ _ NNP 39713 2028 22 alone alone RB 39713 2028 23 _ _ NNP 39713 2028 24 , , , 39713 2028 25 and and CC 39713 2028 26 that that IN 39713 2028 27 we -PRON- PRP 39713 2028 28 have have VBP 39713 2028 29 established establish VBN 39713 2028 30 it -PRON- PRP 39713 2028 31 . . . 39713 2029 1 The the DT 39713 2029 2 geometric geometric JJ 39713 2029 3 sum sum NN 39713 2029 4 of of IN 39713 2029 5 all all PDT 39713 2029 6 the the DT 39713 2029 7 forces force NNS 39713 2029 8 applied apply VBD 39713 2029 9 to to IN 39713 2029 10 all all PDT 39713 2029 11 the the DT 39713 2029 12 material material NN 39713 2029 13 molecules molecule NNS 39713 2029 14 would would MD 39713 2029 15 no no RB 39713 2029 16 longer longer RB 39713 2029 17 be be VB 39713 2029 18 null null JJ 39713 2029 19 . . . 39713 2030 1 It -PRON- PRP 39713 2030 2 would would MD 39713 2030 3 be be VB 39713 2030 4 necessary necessary JJ 39713 2030 5 then then RB 39713 2030 6 , , , 39713 2030 7 if if IN 39713 2030 8 we -PRON- PRP 39713 2030 9 did do VBD 39713 2030 10 not not RB 39713 2030 11 wish wish VB 39713 2030 12 to to TO 39713 2030 13 change change VB 39713 2030 14 all all DT 39713 2030 15 mechanics mechanic NNS 39713 2030 16 , , , 39713 2030 17 to to TO 39713 2030 18 introduce introduce VB 39713 2030 19 the the DT 39713 2030 20 ether ether NN 39713 2030 21 , , , 39713 2030 22 in in IN 39713 2030 23 order order NN 39713 2030 24 that that IN 39713 2030 25 this this DT 39713 2030 26 action action NN 39713 2030 27 which which WDT 39713 2030 28 matter matter NN 39713 2030 29 appeared appear VBD 39713 2030 30 to to TO 39713 2030 31 experience experience VB 39713 2030 32 should should MD 39713 2030 33 be be VB 39713 2030 34 counterbalanced counterbalance VBN 39713 2030 35 by by IN 39713 2030 36 the the DT 39713 2030 37 reaction reaction NN 39713 2030 38 of of IN 39713 2030 39 matter matter NN 39713 2030 40 on on IN 39713 2030 41 something something NN 39713 2030 42 . . . 39713 2031 1 Or or CC 39713 2031 2 again again RB 39713 2031 3 , , , 39713 2031 4 suppose suppose VB 39713 2031 5 we -PRON- PRP 39713 2031 6 discover discover VBP 39713 2031 7 that that DT 39713 2031 8 optical optical JJ 39713 2031 9 and and CC 39713 2031 10 electrical electrical JJ 39713 2031 11 phenomena phenomenon NNS 39713 2031 12 are be VBP 39713 2031 13 influenced influence VBN 39713 2031 14 by by IN 39713 2031 15 the the DT 39713 2031 16 motion motion NN 39713 2031 17 of of IN 39713 2031 18 the the DT 39713 2031 19 earth earth NN 39713 2031 20 . . . 39713 2032 1 We -PRON- PRP 39713 2032 2 should should MD 39713 2032 3 be be VB 39713 2032 4 led lead VBN 39713 2032 5 to to TO 39713 2032 6 conclude conclude VB 39713 2032 7 that that IN 39713 2032 8 these these DT 39713 2032 9 phenomena phenomenon NNS 39713 2032 10 might may MD 39713 2032 11 reveal reveal VB 39713 2032 12 to to IN 39713 2032 13 us -PRON- PRP 39713 2032 14 not not RB 39713 2032 15 only only RB 39713 2032 16 the the DT 39713 2032 17 relative relative JJ 39713 2032 18 motions motion NNS 39713 2032 19 of of IN 39713 2032 20 material material JJ 39713 2032 21 bodies body NNS 39713 2032 22 , , , 39713 2032 23 but but CC 39713 2032 24 what what WP 39713 2032 25 would would MD 39713 2032 26 seem seem VB 39713 2032 27 to to TO 39713 2032 28 be be VB 39713 2032 29 their -PRON- PRP$ 39713 2032 30 absolute absolute JJ 39713 2032 31 motions motion NNS 39713 2032 32 . . . 39713 2033 1 Again again RB 39713 2033 2 , , , 39713 2033 3 an an DT 39713 2033 4 ether ether NN 39713 2033 5 would would MD 39713 2033 6 be be VB 39713 2033 7 necessary necessary JJ 39713 2033 8 , , , 39713 2033 9 that that IN 39713 2033 10 these these DT 39713 2033 11 so so RB 39713 2033 12 - - HYPH 39713 2033 13 called call VBN 39713 2033 14 absolute absolute JJ 39713 2033 15 motions motion NNS 39713 2033 16 should should MD 39713 2033 17 not not RB 39713 2033 18 be be VB 39713 2033 19 their -PRON- PRP$ 39713 2033 20 displacements displacement NNS 39713 2033 21 with with IN 39713 2033 22 regard regard NN 39713 2033 23 to to IN 39713 2033 24 a a DT 39713 2033 25 void void JJ 39713 2033 26 space space NN 39713 2033 27 , , , 39713 2033 28 but but CC 39713 2033 29 their -PRON- PRP$ 39713 2033 30 displacements displacement NNS 39713 2033 31 with with IN 39713 2033 32 regard regard NN 39713 2033 33 to to IN 39713 2033 34 something something NN 39713 2033 35 concrete concrete JJ 39713 2033 36 . . . 39713 2034 1 Shall Shall MD 39713 2034 2 we -PRON- PRP 39713 2034 3 ever ever RB 39713 2034 4 arrive arrive VB 39713 2034 5 at at IN 39713 2034 6 that that DT 39713 2034 7 ? ? . 39713 2035 1 I -PRON- PRP 39713 2035 2 have have VBP 39713 2035 3 not not RB 39713 2035 4 this this DT 39713 2035 5 hope hope NN 39713 2035 6 , , , 39713 2035 7 I -PRON- PRP 39713 2035 8 shall shall MD 39713 2035 9 soon soon RB 39713 2035 10 say say VB 39713 2035 11 why why WRB 39713 2035 12 , , , 39713 2035 13 and and CC 39713 2035 14 yet yet RB 39713 2035 15 it -PRON- PRP 39713 2035 16 is be VBZ 39713 2035 17 not not RB 39713 2035 18 so so RB 39713 2035 19 absurd absurd JJ 39713 2035 20 , , , 39713 2035 21 since since IN 39713 2035 22 others other NNS 39713 2035 23 have have VBP 39713 2035 24 had have VBN 39713 2035 25 it -PRON- PRP 39713 2035 26 . . . 39713 2036 1 For for IN 39713 2036 2 instance instance NN 39713 2036 3 , , , 39713 2036 4 if if IN 39713 2036 5 the the DT 39713 2036 6 theory theory NN 39713 2036 7 of of IN 39713 2036 8 Lorentz Lorentz NNP 39713 2036 9 , , , 39713 2036 10 of of IN 39713 2036 11 which which WDT 39713 2036 12 I -PRON- PRP 39713 2036 13 shall shall MD 39713 2036 14 speak speak VB 39713 2036 15 in in IN 39713 2036 16 detail detail NN 39713 2036 17 further further RB 39713 2036 18 on on RB 39713 2036 19 in in IN 39713 2036 20 Chapter Chapter NNP 39713 2036 21 XIII XIII NNP 39713 2036 22 . . . 39713 2036 23 , , , 39713 2036 24 were be VBD 39713 2036 25 true true JJ 39713 2036 26 , , , 39713 2036 27 Newton Newton NNP 39713 2036 28 's 's POS 39713 2036 29 principle principle NN 39713 2036 30 would would MD 39713 2036 31 not not RB 39713 2036 32 apply apply VB 39713 2036 33 to to IN 39713 2036 34 matter matter VB 39713 2036 35 _ _ NNP 39713 2036 36 alone alone RB 39713 2036 37 _ _ NNP 39713 2036 38 , , , 39713 2036 39 and and CC 39713 2036 40 the the DT 39713 2036 41 difference difference NN 39713 2036 42 would would MD 39713 2036 43 not not RB 39713 2036 44 be be VB 39713 2036 45 very very RB 39713 2036 46 far far RB 39713 2036 47 from from IN 39713 2036 48 being be VBG 39713 2036 49 accessible accessible JJ 39713 2036 50 to to IN 39713 2036 51 experiment experiment VB 39713 2036 52 . . . 39713 2037 1 On on IN 39713 2037 2 the the DT 39713 2037 3 other other JJ 39713 2037 4 hand hand NN 39713 2037 5 , , , 39713 2037 6 many many JJ 39713 2037 7 researches research NNS 39713 2037 8 have have VBP 39713 2037 9 been be VBN 39713 2037 10 made make VBN 39713 2037 11 on on IN 39713 2037 12 the the DT 39713 2037 13 influence influence NN 39713 2037 14 of of IN 39713 2037 15 the the DT 39713 2037 16 earth earth NN 39713 2037 17 's 's POS 39713 2037 18 motion motion NN 39713 2037 19 . . . 39713 2038 1 The the DT 39713 2038 2 results result NNS 39713 2038 3 have have VBP 39713 2038 4 always always RB 39713 2038 5 been be VBN 39713 2038 6 negative negative JJ 39713 2038 7 . . . 39713 2039 1 But but CC 39713 2039 2 these these DT 39713 2039 3 experiments experiment NNS 39713 2039 4 were be VBD 39713 2039 5 undertaken undertake VBN 39713 2039 6 because because IN 39713 2039 7 the the DT 39713 2039 8 outcome outcome NN 39713 2039 9 was be VBD 39713 2039 10 not not RB 39713 2039 11 sure sure JJ 39713 2039 12 in in IN 39713 2039 13 advance advance NN 39713 2039 14 , , , 39713 2039 15 and and CC 39713 2039 16 , , , 39713 2039 17 indeed indeed RB 39713 2039 18 , , , 39713 2039 19 according accord VBG 39713 2039 20 to to IN 39713 2039 21 the the DT 39713 2039 22 ruling rule VBG 39713 2039 23 theories theory NNS 39713 2039 24 , , , 39713 2039 25 the the DT 39713 2039 26 compensation compensation NN 39713 2039 27 would would MD 39713 2039 28 be be VB 39713 2039 29 only only RB 39713 2039 30 approximate approximate JJ 39713 2039 31 , , , 39713 2039 32 and and CC 39713 2039 33 one one PRP 39713 2039 34 might may MD 39713 2039 35 expect expect VB 39713 2039 36 to to TO 39713 2039 37 see see VB 39713 2039 38 precise precise JJ 39713 2039 39 methods method NNS 39713 2039 40 give give VB 39713 2039 41 positive positive JJ 39713 2039 42 results result NNS 39713 2039 43 . . . 39713 2040 1 I -PRON- PRP 39713 2040 2 believe believe VBP 39713 2040 3 that that IN 39713 2040 4 such such PDT 39713 2040 5 a a DT 39713 2040 6 hope hope NN 39713 2040 7 is be VBZ 39713 2040 8 illusory illusory JJ 39713 2040 9 ; ; : 39713 2040 10 it -PRON- PRP 39713 2040 11 was be VBD 39713 2040 12 none none NN 39713 2040 13 the the DT 39713 2040 14 less less RBR 39713 2040 15 interesting interesting JJ 39713 2040 16 to to TO 39713 2040 17 show show VB 39713 2040 18 that that IN 39713 2040 19 a a DT 39713 2040 20 success success NN 39713 2040 21 of of IN 39713 2040 22 this this DT 39713 2040 23 sort sort NN 39713 2040 24 would would MD 39713 2040 25 open open VB 39713 2040 26 to to IN 39713 2040 27 us -PRON- PRP 39713 2040 28 , , , 39713 2040 29 in in IN 39713 2040 30 some some DT 39713 2040 31 sort sort NN 39713 2040 32 , , , 39713 2040 33 a a DT 39713 2040 34 new new JJ 39713 2040 35 world world NN 39713 2040 36 . . . 39713 2041 1 And and CC 39713 2041 2 now now RB 39713 2041 3 I -PRON- PRP 39713 2041 4 must must MD 39713 2041 5 be be VB 39713 2041 6 permitted permit VBN 39713 2041 7 a a DT 39713 2041 8 digression digression NN 39713 2041 9 ; ; : 39713 2041 10 I -PRON- PRP 39713 2041 11 must must MD 39713 2041 12 explain explain VB 39713 2041 13 , , , 39713 2041 14 in in IN 39713 2041 15 fact fact NN 39713 2041 16 , , , 39713 2041 17 why why WRB 39713 2041 18 I -PRON- PRP 39713 2041 19 do do VBP 39713 2041 20 not not RB 39713 2041 21 believe believe VB 39713 2041 22 , , , 39713 2041 23 despite despite IN 39713 2041 24 Lorentz Lorentz NNP 39713 2041 25 , , , 39713 2041 26 that that IN 39713 2041 27 more more RBR 39713 2041 28 precise precise JJ 39713 2041 29 observations observation NNS 39713 2041 30 can can MD 39713 2041 31 ever ever RB 39713 2041 32 put put VBN 39713 2041 33 in in IN 39713 2041 34 evidence evidence NN 39713 2041 35 anything anything NN 39713 2041 36 else else RB 39713 2041 37 than than IN 39713 2041 38 the the DT 39713 2041 39 relative relative JJ 39713 2041 40 displacements displacement NNS 39713 2041 41 of of IN 39713 2041 42 material material JJ 39713 2041 43 bodies body NNS 39713 2041 44 . . . 39713 2042 1 Experiments experiment NNS 39713 2042 2 have have VBP 39713 2042 3 been be VBN 39713 2042 4 made make VBN 39713 2042 5 which which WDT 39713 2042 6 should should MD 39713 2042 7 have have VB 39713 2042 8 disclosed disclose VBN 39713 2042 9 the the DT 39713 2042 10 terms term NNS 39713 2042 11 of of IN 39713 2042 12 the the DT 39713 2042 13 first first JJ 39713 2042 14 order order NN 39713 2042 15 ; ; : 39713 2042 16 the the DT 39713 2042 17 results result NNS 39713 2042 18 have have VBP 39713 2042 19 been be VBN 39713 2042 20 negative negative JJ 39713 2042 21 ; ; : 39713 2042 22 could could MD 39713 2042 23 that that DT 39713 2042 24 be be VB 39713 2042 25 by by IN 39713 2042 26 chance chance NN 39713 2042 27 ? ? . 39713 2043 1 No no DT 39713 2043 2 one one NN 39713 2043 3 has have VBZ 39713 2043 4 assumed assume VBN 39713 2043 5 that that DT 39713 2043 6 ; ; : 39713 2043 7 a a DT 39713 2043 8 general general JJ 39713 2043 9 explanation explanation NN 39713 2043 10 has have VBZ 39713 2043 11 been be VBN 39713 2043 12 sought seek VBN 39713 2043 13 , , , 39713 2043 14 and and CC 39713 2043 15 Lorentz Lorentz NNP 39713 2043 16 has have VBZ 39713 2043 17 found find VBN 39713 2043 18 it -PRON- PRP 39713 2043 19 ; ; : 39713 2043 20 he -PRON- PRP 39713 2043 21 has have VBZ 39713 2043 22 shown show VBN 39713 2043 23 that that IN 39713 2043 24 the the DT 39713 2043 25 terms term NNS 39713 2043 26 of of IN 39713 2043 27 the the DT 39713 2043 28 first first JJ 39713 2043 29 order order NN 39713 2043 30 must must MD 39713 2043 31 destroy destroy VB 39713 2043 32 each each DT 39713 2043 33 other other JJ 39713 2043 34 , , , 39713 2043 35 but but CC 39713 2043 36 not not RB 39713 2043 37 those those DT 39713 2043 38 of of IN 39713 2043 39 the the DT 39713 2043 40 second second JJ 39713 2043 41 . . . 39713 2044 1 Then then RB 39713 2044 2 more more RBR 39713 2044 3 precise precise JJ 39713 2044 4 experiments experiment NNS 39713 2044 5 were be VBD 39713 2044 6 made make VBN 39713 2044 7 ; ; : 39713 2044 8 they -PRON- PRP 39713 2044 9 also also RB 39713 2044 10 were be VBD 39713 2044 11 negative negative JJ 39713 2044 12 ; ; : 39713 2044 13 neither neither DT 39713 2044 14 could could MD 39713 2044 15 this this DT 39713 2044 16 be be VB 39713 2044 17 the the DT 39713 2044 18 effect effect NN 39713 2044 19 of of IN 39713 2044 20 chance chance NN 39713 2044 21 ; ; : 39713 2044 22 an an DT 39713 2044 23 explanation explanation NN 39713 2044 24 was be VBD 39713 2044 25 necessary necessary JJ 39713 2044 26 ; ; : 39713 2044 27 it -PRON- PRP 39713 2044 28 was be VBD 39713 2044 29 found find VBN 39713 2044 30 ; ; : 39713 2044 31 they -PRON- PRP 39713 2044 32 always always RB 39713 2044 33 are be VBP 39713 2044 34 found find VBN 39713 2044 35 ; ; : 39713 2044 36 of of IN 39713 2044 37 hypotheses hypothesis NNS 39713 2044 38 there there EX 39713 2044 39 is be VBZ 39713 2044 40 never never RB 39713 2044 41 lack lack NN 39713 2044 42 . . . 39713 2045 1 But but CC 39713 2045 2 this this DT 39713 2045 3 is be VBZ 39713 2045 4 not not RB 39713 2045 5 enough enough JJ 39713 2045 6 ; ; : 39713 2045 7 who who WP 39713 2045 8 does do VBZ 39713 2045 9 not not RB 39713 2045 10 feel feel VB 39713 2045 11 that that IN 39713 2045 12 this this DT 39713 2045 13 is be VBZ 39713 2045 14 still still RB 39713 2045 15 to to TO 39713 2045 16 leave leave VB 39713 2045 17 to to TO 39713 2045 18 chance chance VB 39713 2045 19 too too RB 39713 2045 20 great great JJ 39713 2045 21 a a DT 39713 2045 22 rôle rôle NN 39713 2045 23 ? ? . 39713 2046 1 Would Would MD 39713 2046 2 not not RB 39713 2046 3 that that DT 39713 2046 4 also also RB 39713 2046 5 be be VB 39713 2046 6 a a DT 39713 2046 7 chance chance NN 39713 2046 8 , , , 39713 2046 9 this this DT 39713 2046 10 singular singular JJ 39713 2046 11 coincidence coincidence NN 39713 2046 12 which which WDT 39713 2046 13 brought bring VBD 39713 2046 14 it -PRON- PRP 39713 2046 15 about about IN 39713 2046 16 that that IN 39713 2046 17 a a DT 39713 2046 18 certain certain JJ 39713 2046 19 circumstance circumstance NN 39713 2046 20 should should MD 39713 2046 21 come come VB 39713 2046 22 just just RB 39713 2046 23 in in IN 39713 2046 24 the the DT 39713 2046 25 nick nick NN 39713 2046 26 of of IN 39713 2046 27 time time NN 39713 2046 28 to to TO 39713 2046 29 destroy destroy VB 39713 2046 30 the the DT 39713 2046 31 terms term NNS 39713 2046 32 of of IN 39713 2046 33 the the DT 39713 2046 34 first first JJ 39713 2046 35 order order NN 39713 2046 36 , , , 39713 2046 37 and and CC 39713 2046 38 that that IN 39713 2046 39 another another DT 39713 2046 40 circumstance circumstance NN 39713 2046 41 , , , 39713 2046 42 wholly wholly RB 39713 2046 43 different different JJ 39713 2046 44 , , , 39713 2046 45 but but CC 39713 2046 46 just just RB 39713 2046 47 as as IN 39713 2046 48 opportune opportune JJ 39713 2046 49 , , , 39713 2046 50 should should MD 39713 2046 51 take take VB 39713 2046 52 upon upon IN 39713 2046 53 itself -PRON- PRP 39713 2046 54 to to TO 39713 2046 55 destroy destroy VB 39713 2046 56 those those DT 39713 2046 57 of of IN 39713 2046 58 the the DT 39713 2046 59 second second JJ 39713 2046 60 order order NN 39713 2046 61 ? ? . 39713 2047 1 No no UH 39713 2047 2 , , , 39713 2047 3 it -PRON- PRP 39713 2047 4 is be VBZ 39713 2047 5 necessary necessary JJ 39713 2047 6 to to TO 39713 2047 7 find find VB 39713 2047 8 an an DT 39713 2047 9 explanation explanation NN 39713 2047 10 the the DT 39713 2047 11 same same JJ 39713 2047 12 for for IN 39713 2047 13 the the DT 39713 2047 14 one one NN 39713 2047 15 as as IN 39713 2047 16 for for IN 39713 2047 17 the the DT 39713 2047 18 other other JJ 39713 2047 19 , , , 39713 2047 20 and and CC 39713 2047 21 then then RB 39713 2047 22 everything everything NN 39713 2047 23 leads lead VBZ 39713 2047 24 us -PRON- PRP 39713 2047 25 to to TO 39713 2047 26 think think VB 39713 2047 27 that that IN 39713 2047 28 this this DT 39713 2047 29 explanation explanation NN 39713 2047 30 will will MD 39713 2047 31 hold hold VB 39713 2047 32 good good JJ 39713 2047 33 equally equally RB 39713 2047 34 well well RB 39713 2047 35 for for IN 39713 2047 36 the the DT 39713 2047 37 terms term NNS 39713 2047 38 of of IN 39713 2047 39 higher high JJR 39713 2047 40 order order NN 39713 2047 41 , , , 39713 2047 42 and and CC 39713 2047 43 that that IN 39713 2047 44 the the DT 39713 2047 45 mutual mutual JJ 39713 2047 46 destruction destruction NN 39713 2047 47 of of IN 39713 2047 48 these these DT 39713 2047 49 terms term NNS 39713 2047 50 will will MD 39713 2047 51 be be VB 39713 2047 52 rigorous rigorous JJ 39713 2047 53 and and CC 39713 2047 54 absolute absolute JJ 39713 2047 55 . . . 39713 2048 1 PRESENT present JJ 39713 2048 2 STATE STATE NNP 39713 2048 3 OF of IN 39713 2048 4 THE the DT 39713 2048 5 SCIENCE.--In SCIENCE.--In NNP 39713 2048 6 the the DT 39713 2048 7 history history NN 39713 2048 8 of of IN 39713 2048 9 the the DT 39713 2048 10 development development NN 39713 2048 11 of of IN 39713 2048 12 physics physics NN 39713 2048 13 we -PRON- PRP 39713 2048 14 distinguish distinguish VBP 39713 2048 15 two two CD 39713 2048 16 inverse inverse NN 39713 2048 17 tendencies tendency NNS 39713 2048 18 . . . 39713 2049 1 On on IN 39713 2049 2 the the DT 39713 2049 3 one one CD 39713 2049 4 hand hand NN 39713 2049 5 , , , 39713 2049 6 new new JJ 39713 2049 7 bonds bond NNS 39713 2049 8 are be VBP 39713 2049 9 continually continually RB 39713 2049 10 being be VBG 39713 2049 11 discovered discover VBN 39713 2049 12 between between IN 39713 2049 13 objects object NNS 39713 2049 14 which which WDT 39713 2049 15 had have VBD 39713 2049 16 seemed seem VBN 39713 2049 17 destined destine VBN 39713 2049 18 to to TO 39713 2049 19 remain remain VB 39713 2049 20 forever forever RB 39713 2049 21 unconnected unconnected JJ 39713 2049 22 ; ; : 39713 2049 23 scattered scatter VBN 39713 2049 24 facts fact NNS 39713 2049 25 cease cease VBP 39713 2049 26 to to TO 39713 2049 27 be be VB 39713 2049 28 strangers stranger NNS 39713 2049 29 to to IN 39713 2049 30 one one CD 39713 2049 31 another another DT 39713 2049 32 ; ; : 39713 2049 33 they -PRON- PRP 39713 2049 34 tend tend VBP 39713 2049 35 to to TO 39713 2049 36 arrange arrange VB 39713 2049 37 themselves -PRON- PRP 39713 2049 38 in in IN 39713 2049 39 an an DT 39713 2049 40 imposing impose VBG 39713 2049 41 synthesis synthesis NN 39713 2049 42 . . . 39713 2050 1 Science science NN 39713 2050 2 advances advance VBZ 39713 2050 3 toward toward IN 39713 2050 4 unity unity NN 39713 2050 5 and and CC 39713 2050 6 simplicity simplicity NN 39713 2050 7 . . . 39713 2051 1 On on IN 39713 2051 2 the the DT 39713 2051 3 other other JJ 39713 2051 4 hand hand NN 39713 2051 5 , , , 39713 2051 6 observation observation NN 39713 2051 7 reveals reveal VBZ 39713 2051 8 to to IN 39713 2051 9 us -PRON- PRP 39713 2051 10 every every DT 39713 2051 11 day day NN 39713 2051 12 new new JJ 39713 2051 13 phenomena phenomenon NNS 39713 2051 14 ; ; : 39713 2051 15 they -PRON- PRP 39713 2051 16 must must MD 39713 2051 17 long long RB 39713 2051 18 await await VB 39713 2051 19 their -PRON- PRP$ 39713 2051 20 place place NN 39713 2051 21 and and CC 39713 2051 22 sometimes sometimes RB 39713 2051 23 , , , 39713 2051 24 to to TO 39713 2051 25 make make VB 39713 2051 26 one one NN 39713 2051 27 for for IN 39713 2051 28 them -PRON- PRP 39713 2051 29 , , , 39713 2051 30 a a DT 39713 2051 31 corner corner NN 39713 2051 32 of of IN 39713 2051 33 the the DT 39713 2051 34 edifice edifice NN 39713 2051 35 must must MD 39713 2051 36 be be VB 39713 2051 37 demolished demolish VBN 39713 2051 38 . . . 39713 2052 1 In in IN 39713 2052 2 the the DT 39713 2052 3 known know VBN 39713 2052 4 phenomena phenomenon NNS 39713 2052 5 themselves -PRON- PRP 39713 2052 6 , , , 39713 2052 7 where where WRB 39713 2052 8 our -PRON- PRP$ 39713 2052 9 crude crude JJ 39713 2052 10 senses sense NNS 39713 2052 11 showed show VBD 39713 2052 12 us -PRON- PRP 39713 2052 13 uniformity uniformity NN 39713 2052 14 , , , 39713 2052 15 we -PRON- PRP 39713 2052 16 perceive perceive VBP 39713 2052 17 details detail NNS 39713 2052 18 from from IN 39713 2052 19 day day NN 39713 2052 20 to to IN 39713 2052 21 day day NN 39713 2052 22 more more RBR 39713 2052 23 varied varied JJ 39713 2052 24 ; ; : 39713 2052 25 what what WP 39713 2052 26 we -PRON- PRP 39713 2052 27 believed believe VBD 39713 2052 28 simple simple JJ 39713 2052 29 becomes become VBZ 39713 2052 30 complex complex JJ 39713 2052 31 , , , 39713 2052 32 and and CC 39713 2052 33 science science NN 39713 2052 34 appears appear VBZ 39713 2052 35 to to TO 39713 2052 36 advance advance VB 39713 2052 37 toward toward IN 39713 2052 38 variety variety NN 39713 2052 39 and and CC 39713 2052 40 complexity complexity NN 39713 2052 41 . . . 39713 2053 1 Of of IN 39713 2053 2 these these DT 39713 2053 3 two two CD 39713 2053 4 inverse inverse NN 39713 2053 5 tendencies tendency NNS 39713 2053 6 , , , 39713 2053 7 which which WDT 39713 2053 8 seem seem VBP 39713 2053 9 to to TO 39713 2053 10 triumph triumph NN 39713 2053 11 turn turn VB 39713 2053 12 about about RP 39713 2053 13 , , , 39713 2053 14 which which WDT 39713 2053 15 will will MD 39713 2053 16 win win VB 39713 2053 17 ? ? . 39713 2054 1 If if IN 39713 2054 2 it -PRON- PRP 39713 2054 3 be be VBP 39713 2054 4 the the DT 39713 2054 5 first first JJ 39713 2054 6 , , , 39713 2054 7 science science NN 39713 2054 8 is be VBZ 39713 2054 9 possible possible JJ 39713 2054 10 ; ; : 39713 2054 11 but but CC 39713 2054 12 nothing nothing NN 39713 2054 13 proves prove VBZ 39713 2054 14 this this DT 39713 2054 15 _ _ NNP 39713 2054 16 a a DT 39713 2054 17 priori priori FW 39713 2054 18 _ _ NNP 39713 2054 19 , , , 39713 2054 20 and and CC 39713 2054 21 it -PRON- PRP 39713 2054 22 may may MD 39713 2054 23 well well RB 39713 2054 24 be be VB 39713 2054 25 feared fear VBN 39713 2054 26 that that IN 39713 2054 27 after after IN 39713 2054 28 having have VBG 39713 2054 29 made make VBN 39713 2054 30 vain vain JJ 39713 2054 31 efforts effort NNS 39713 2054 32 to to TO 39713 2054 33 bend bend VB 39713 2054 34 nature nature NN 39713 2054 35 in in IN 39713 2054 36 spite spite NN 39713 2054 37 of of IN 39713 2054 38 herself -PRON- PRP 39713 2054 39 to to IN 39713 2054 40 our -PRON- PRP$ 39713 2054 41 ideal ideal NN 39713 2054 42 of of IN 39713 2054 43 unity unity NN 39713 2054 44 , , , 39713 2054 45 submerged submerge VBN 39713 2054 46 by by IN 39713 2054 47 the the DT 39713 2054 48 ever ever RB 39713 2054 49 - - HYPH 39713 2054 50 rising rise VBG 39713 2054 51 flood flood NN 39713 2054 52 of of IN 39713 2054 53 our -PRON- PRP$ 39713 2054 54 new new JJ 39713 2054 55 riches rich NNS 39713 2054 56 , , , 39713 2054 57 we -PRON- PRP 39713 2054 58 must must MD 39713 2054 59 renounce renounce VB 39713 2054 60 classifying classify VBG 39713 2054 61 them -PRON- PRP 39713 2054 62 , , , 39713 2054 63 abandon abandon VB 39713 2054 64 our -PRON- PRP$ 39713 2054 65 ideal ideal NN 39713 2054 66 , , , 39713 2054 67 and and CC 39713 2054 68 reduce reduce VB 39713 2054 69 science science NN 39713 2054 70 to to IN 39713 2054 71 the the DT 39713 2054 72 registration registration NN 39713 2054 73 of of IN 39713 2054 74 innumerable innumerable JJ 39713 2054 75 recipes recipe NNS 39713 2054 76 . . . 39713 2055 1 To to IN 39713 2055 2 this this DT 39713 2055 3 question question NN 39713 2055 4 we -PRON- PRP 39713 2055 5 can can MD 39713 2055 6 not not RB 39713 2055 7 reply reply VB 39713 2055 8 . . . 39713 2056 1 All all DT 39713 2056 2 we -PRON- PRP 39713 2056 3 can can MD 39713 2056 4 do do VB 39713 2056 5 is be VBZ 39713 2056 6 to to TO 39713 2056 7 observe observe VB 39713 2056 8 the the DT 39713 2056 9 science science NN 39713 2056 10 of of IN 39713 2056 11 to to IN 39713 2056 12 - - HYPH 39713 2056 13 day day NN 39713 2056 14 and and CC 39713 2056 15 compare compare VB 39713 2056 16 it -PRON- PRP 39713 2056 17 with with IN 39713 2056 18 that that DT 39713 2056 19 of of IN 39713 2056 20 yesterday yesterday NN 39713 2056 21 . . . 39713 2057 1 From from IN 39713 2057 2 this this DT 39713 2057 3 examination examination NN 39713 2057 4 we -PRON- PRP 39713 2057 5 may may MD 39713 2057 6 doubtless doubtless RB 39713 2057 7 draw draw VB 39713 2057 8 some some DT 39713 2057 9 encouragement encouragement NN 39713 2057 10 . . . 39713 2058 1 Half half PDT 39713 2058 2 a a DT 39713 2058 3 century century NN 39713 2058 4 ago ago RB 39713 2058 5 , , , 39713 2058 6 hope hope NN 39713 2058 7 ran run VBD 39713 2058 8 high high RB 39713 2058 9 . . . 39713 2059 1 The the DT 39713 2059 2 discovery discovery NN 39713 2059 3 of of IN 39713 2059 4 the the DT 39713 2059 5 conservation conservation NN 39713 2059 6 of of IN 39713 2059 7 energy energy NN 39713 2059 8 and and CC 39713 2059 9 of of IN 39713 2059 10 its -PRON- PRP$ 39713 2059 11 transformations transformation NNS 39713 2059 12 had have VBD 39713 2059 13 revealed reveal VBN 39713 2059 14 to to IN 39713 2059 15 us -PRON- PRP 39713 2059 16 the the DT 39713 2059 17 unity unity NN 39713 2059 18 of of IN 39713 2059 19 force force NN 39713 2059 20 . . . 39713 2060 1 Thus thus RB 39713 2060 2 it -PRON- PRP 39713 2060 3 showed show VBD 39713 2060 4 that that IN 39713 2060 5 the the DT 39713 2060 6 phenomena phenomenon NNS 39713 2060 7 of of IN 39713 2060 8 heat heat NN 39713 2060 9 could could MD 39713 2060 10 be be VB 39713 2060 11 explained explain VBN 39713 2060 12 by by IN 39713 2060 13 molecular molecular JJ 39713 2060 14 motions motion NNS 39713 2060 15 . . . 39713 2061 1 What what WP 39713 2061 2 was be VBD 39713 2061 3 the the DT 39713 2061 4 nature nature NN 39713 2061 5 of of IN 39713 2061 6 these these DT 39713 2061 7 motions motion NNS 39713 2061 8 was be VBD 39713 2061 9 not not RB 39713 2061 10 exactly exactly RB 39713 2061 11 known know VBN 39713 2061 12 , , , 39713 2061 13 but but CC 39713 2061 14 no no DT 39713 2061 15 one one NN 39713 2061 16 doubted doubt VBD 39713 2061 17 that that IN 39713 2061 18 it -PRON- PRP 39713 2061 19 soon soon RB 39713 2061 20 would would MD 39713 2061 21 be be VB 39713 2061 22 . . . 39713 2062 1 For for IN 39713 2062 2 light light NN 39713 2062 3 , , , 39713 2062 4 the the DT 39713 2062 5 task task NN 39713 2062 6 seemed seem VBD 39713 2062 7 completely completely RB 39713 2062 8 accomplished accomplished JJ 39713 2062 9 . . . 39713 2063 1 In in IN 39713 2063 2 what what WP 39713 2063 3 concerns concern NNS 39713 2063 4 electricity electricity NN 39713 2063 5 , , , 39713 2063 6 things thing NNS 39713 2063 7 were be VBD 39713 2063 8 less less RBR 39713 2063 9 advanced advanced JJ 39713 2063 10 . . . 39713 2064 1 Electricity electricity NN 39713 2064 2 had have VBD 39713 2064 3 just just RB 39713 2064 4 annexed annex VBN 39713 2064 5 magnetism magnetism NN 39713 2064 6 . . . 39713 2065 1 This this DT 39713 2065 2 was be VBD 39713 2065 3 a a DT 39713 2065 4 considerable considerable JJ 39713 2065 5 step step NN 39713 2065 6 toward toward IN 39713 2065 7 unity unity NN 39713 2065 8 , , , 39713 2065 9 and and CC 39713 2065 10 a a DT 39713 2065 11 decisive decisive JJ 39713 2065 12 step step NN 39713 2065 13 . . . 39713 2066 1 But but CC 39713 2066 2 how how WRB 39713 2066 3 should should MD 39713 2066 4 electricity electricity VB 39713 2066 5 in in IN 39713 2066 6 its -PRON- PRP$ 39713 2066 7 turn turn NN 39713 2066 8 enter enter VBP 39713 2066 9 into into IN 39713 2066 10 the the DT 39713 2066 11 general general JJ 39713 2066 12 unity unity NN 39713 2066 13 , , , 39713 2066 14 how how WRB 39713 2066 15 should should MD 39713 2066 16 it -PRON- PRP 39713 2066 17 be be VB 39713 2066 18 reduced reduce VBN 39713 2066 19 to to IN 39713 2066 20 the the DT 39713 2066 21 universal universal JJ 39713 2066 22 mechanism mechanism NN 39713 2066 23 ? ? . 39713 2067 1 Of of IN 39713 2067 2 that that DT 39713 2067 3 no no DT 39713 2067 4 one one NN 39713 2067 5 had have VBD 39713 2067 6 any any DT 39713 2067 7 idea idea NN 39713 2067 8 . . . 39713 2068 1 Yet yet CC 39713 2068 2 the the DT 39713 2068 3 possibility possibility NN 39713 2068 4 of of IN 39713 2068 5 this this DT 39713 2068 6 reduction reduction NN 39713 2068 7 was be VBD 39713 2068 8 doubted doubt VBN 39713 2068 9 by by IN 39713 2068 10 none none NN 39713 2068 11 , , , 39713 2068 12 there there EX 39713 2068 13 was be VBD 39713 2068 14 faith faith NN 39713 2068 15 . . . 39713 2069 1 Finally finally RB 39713 2069 2 , , , 39713 2069 3 in in IN 39713 2069 4 what what WP 39713 2069 5 concerns concern VBZ 39713 2069 6 the the DT 39713 2069 7 molecular molecular JJ 39713 2069 8 properties property NNS 39713 2069 9 of of IN 39713 2069 10 material material JJ 39713 2069 11 bodies body NNS 39713 2069 12 , , , 39713 2069 13 the the DT 39713 2069 14 reduction reduction NN 39713 2069 15 seemed seem VBD 39713 2069 16 still still RB 39713 2069 17 easier easy JJR 39713 2069 18 , , , 39713 2069 19 but but CC 39713 2069 20 all all PDT 39713 2069 21 the the DT 39713 2069 22 detail detail NN 39713 2069 23 remained remain VBD 39713 2069 24 hazy hazy NNS 39713 2069 25 . . . 39713 2070 1 In in IN 39713 2070 2 a a DT 39713 2070 3 word word NN 39713 2070 4 , , , 39713 2070 5 the the DT 39713 2070 6 hopes hope NNS 39713 2070 7 were be VBD 39713 2070 8 vast vast JJ 39713 2070 9 and and CC 39713 2070 10 animated animate VBN 39713 2070 11 , , , 39713 2070 12 but but CC 39713 2070 13 vague vague JJ 39713 2070 14 . . . 39713 2071 1 To to NN 39713 2071 2 - - HYPH 39713 2071 3 day day NN 39713 2071 4 , , , 39713 2071 5 what what WP 39713 2071 6 do do VBP 39713 2071 7 we -PRON- PRP 39713 2071 8 see see VB 39713 2071 9 ? ? . 39713 2072 1 First first RB 39713 2072 2 of of IN 39713 2072 3 all all DT 39713 2072 4 , , , 39713 2072 5 a a DT 39713 2072 6 prime prime JJ 39713 2072 7 progress progress NN 39713 2072 8 , , , 39713 2072 9 immense immense JJ 39713 2072 10 progress progress NN 39713 2072 11 . . . 39713 2073 1 The the DT 39713 2073 2 relations relation NNS 39713 2073 3 of of IN 39713 2073 4 electricity electricity NN 39713 2073 5 and and CC 39713 2073 6 light light NN 39713 2073 7 are be VBP 39713 2073 8 now now RB 39713 2073 9 known know VBN 39713 2073 10 ; ; : 39713 2073 11 the the DT 39713 2073 12 three three CD 39713 2073 13 realms realm NNS 39713 2073 14 , , , 39713 2073 15 of of IN 39713 2073 16 light light NN 39713 2073 17 , , , 39713 2073 18 of of IN 39713 2073 19 electricity electricity NN 39713 2073 20 and and CC 39713 2073 21 of of IN 39713 2073 22 magnetism magnetism NN 39713 2073 23 , , , 39713 2073 24 previously previously RB 39713 2073 25 separated separate VBN 39713 2073 26 , , , 39713 2073 27 form form NN 39713 2073 28 now now RB 39713 2073 29 but but CC 39713 2073 30 one one CD 39713 2073 31 ; ; : 39713 2073 32 and and CC 39713 2073 33 this this DT 39713 2073 34 annexation annexation NN 39713 2073 35 seems seem VBZ 39713 2073 36 final final JJ 39713 2073 37 . . . 39713 2074 1 This this DT 39713 2074 2 conquest conquest NN 39713 2074 3 , , , 39713 2074 4 however however RB 39713 2074 5 , , , 39713 2074 6 has have VBZ 39713 2074 7 cost cost VBN 39713 2074 8 us -PRON- PRP 39713 2074 9 some some DT 39713 2074 10 sacrifices sacrifice NNS 39713 2074 11 . . . 39713 2075 1 The the DT 39713 2075 2 optical optical JJ 39713 2075 3 phenomena phenomena NN 39713 2075 4 subordinate subordinate VBP 39713 2075 5 themselves -PRON- PRP 39713 2075 6 as as IN 39713 2075 7 particular particular JJ 39713 2075 8 cases case NNS 39713 2075 9 under under IN 39713 2075 10 the the DT 39713 2075 11 electrical electrical JJ 39713 2075 12 phenomena phenomena NN 39713 2075 13 ; ; : 39713 2075 14 so so RB 39713 2075 15 long long RB 39713 2075 16 as as IN 39713 2075 17 they -PRON- PRP 39713 2075 18 remained remain VBD 39713 2075 19 isolated isolated JJ 39713 2075 20 , , , 39713 2075 21 it -PRON- PRP 39713 2075 22 was be VBD 39713 2075 23 easy easy JJ 39713 2075 24 to to TO 39713 2075 25 explain explain VB 39713 2075 26 them -PRON- PRP 39713 2075 27 by by IN 39713 2075 28 motions motion NNS 39713 2075 29 that that WDT 39713 2075 30 were be VBD 39713 2075 31 supposed suppose VBN 39713 2075 32 to to TO 39713 2075 33 be be VB 39713 2075 34 known know VBN 39713 2075 35 in in IN 39713 2075 36 all all DT 39713 2075 37 their -PRON- PRP$ 39713 2075 38 details detail NNS 39713 2075 39 , , , 39713 2075 40 that that DT 39713 2075 41 was be VBD 39713 2075 42 a a DT 39713 2075 43 matter matter NN 39713 2075 44 of of IN 39713 2075 45 course course NN 39713 2075 46 ; ; : 39713 2075 47 but but CC 39713 2075 48 now now RB 39713 2075 49 an an DT 39713 2075 50 explanation explanation NN 39713 2075 51 , , , 39713 2075 52 to to TO 39713 2075 53 be be VB 39713 2075 54 acceptable acceptable JJ 39713 2075 55 , , , 39713 2075 56 must must MD 39713 2075 57 be be VB 39713 2075 58 easily easily RB 39713 2075 59 capable capable JJ 39713 2075 60 of of IN 39713 2075 61 extension extension NN 39713 2075 62 to to IN 39713 2075 63 the the DT 39713 2075 64 entire entire JJ 39713 2075 65 electric electric JJ 39713 2075 66 domain domain NN 39713 2075 67 . . . 39713 2076 1 Now now RB 39713 2076 2 that that DT 39713 2076 3 is be VBZ 39713 2076 4 a a DT 39713 2076 5 matter matter NN 39713 2076 6 not not RB 39713 2076 7 without without IN 39713 2076 8 difficulties difficulty NNS 39713 2076 9 . . . 39713 2077 1 The the DT 39713 2077 2 most most RBS 39713 2077 3 satisfactory satisfactory JJ 39713 2077 4 theory theory NN 39713 2077 5 we -PRON- PRP 39713 2077 6 have have VBP 39713 2077 7 is be VBZ 39713 2077 8 that that DT 39713 2077 9 of of IN 39713 2077 10 Lorentz Lorentz NNP 39713 2077 11 , , , 39713 2077 12 which which WDT 39713 2077 13 , , , 39713 2077 14 as as IN 39713 2077 15 we -PRON- PRP 39713 2077 16 shall shall MD 39713 2077 17 see see VB 39713 2077 18 in in IN 39713 2077 19 the the DT 39713 2077 20 last last JJ 39713 2077 21 chapter chapter NN 39713 2077 22 , , , 39713 2077 23 explains explain VBZ 39713 2077 24 electric electric JJ 39713 2077 25 currents current NNS 39713 2077 26 by by IN 39713 2077 27 the the DT 39713 2077 28 motions motion NNS 39713 2077 29 of of IN 39713 2077 30 little little JJ 39713 2077 31 electrified electrify VBN 39713 2077 32 particles particle NNS 39713 2077 33 ; ; : 39713 2077 34 it -PRON- PRP 39713 2077 35 is be VBZ 39713 2077 36 unquestionably unquestionably RB 39713 2077 37 the the DT 39713 2077 38 one one NN 39713 2077 39 which which WDT 39713 2077 40 best good JJS 39713 2077 41 explains explain VBZ 39713 2077 42 the the DT 39713 2077 43 known know VBN 39713 2077 44 facts fact NNS 39713 2077 45 , , , 39713 2077 46 the the DT 39713 2077 47 one one NN 39713 2077 48 which which WDT 39713 2077 49 illuminates illuminate VBZ 39713 2077 50 the the DT 39713 2077 51 greatest great JJS 39713 2077 52 number number NN 39713 2077 53 of of IN 39713 2077 54 true true JJ 39713 2077 55 relations relation NNS 39713 2077 56 , , , 39713 2077 57 the the DT 39713 2077 58 one one CD 39713 2077 59 of of IN 39713 2077 60 which which WDT 39713 2077 61 most most JJS 39713 2077 62 traces trace NNS 39713 2077 63 will will MD 39713 2077 64 be be VB 39713 2077 65 found find VBN 39713 2077 66 in in IN 39713 2077 67 the the DT 39713 2077 68 final final JJ 39713 2077 69 construction construction NN 39713 2077 70 . . . 39713 2078 1 Nevertheless nevertheless RB 39713 2078 2 , , , 39713 2078 3 it -PRON- PRP 39713 2078 4 still still RB 39713 2078 5 has have VBZ 39713 2078 6 a a DT 39713 2078 7 serious serious JJ 39713 2078 8 defect defect NN 39713 2078 9 , , , 39713 2078 10 which which WDT 39713 2078 11 I -PRON- PRP 39713 2078 12 have have VBP 39713 2078 13 indicated indicate VBN 39713 2078 14 above above RB 39713 2078 15 ; ; : 39713 2078 16 it -PRON- PRP 39713 2078 17 is be VBZ 39713 2078 18 contrary contrary JJ 39713 2078 19 to to IN 39713 2078 20 Newton Newton NNP 39713 2078 21 's 's POS 39713 2078 22 law law NN 39713 2078 23 of of IN 39713 2078 24 the the DT 39713 2078 25 equality equality NN 39713 2078 26 of of IN 39713 2078 27 action action NN 39713 2078 28 and and CC 39713 2078 29 reaction reaction NN 39713 2078 30 ; ; , 39713 2078 31 or or CC 39713 2078 32 rather rather RB 39713 2078 33 , , , 39713 2078 34 this this DT 39713 2078 35 principle principle NN 39713 2078 36 , , , 39713 2078 37 in in IN 39713 2078 38 the the DT 39713 2078 39 eyes eye NNS 39713 2078 40 of of IN 39713 2078 41 Lorentz Lorentz NNP 39713 2078 42 , , , 39713 2078 43 would would MD 39713 2078 44 not not RB 39713 2078 45 be be VB 39713 2078 46 applicable applicable JJ 39713 2078 47 to to TO 39713 2078 48 matter matter VB 39713 2078 49 alone alone RB 39713 2078 50 ; ; : 39713 2078 51 for for IN 39713 2078 52 it -PRON- PRP 39713 2078 53 to to TO 39713 2078 54 be be VB 39713 2078 55 true true JJ 39713 2078 56 , , , 39713 2078 57 it -PRON- PRP 39713 2078 58 would would MD 39713 2078 59 be be VB 39713 2078 60 necessary necessary JJ 39713 2078 61 to to TO 39713 2078 62 take take VB 39713 2078 63 account account NN 39713 2078 64 of of IN 39713 2078 65 the the DT 39713 2078 66 action action NN 39713 2078 67 of of IN 39713 2078 68 the the DT 39713 2078 69 ether ether NN 39713 2078 70 on on IN 39713 2078 71 matter matter NN 39713 2078 72 and and CC 39713 2078 73 of of IN 39713 2078 74 the the DT 39713 2078 75 reaction reaction NN 39713 2078 76 of of IN 39713 2078 77 matter matter NN 39713 2078 78 on on IN 39713 2078 79 the the DT 39713 2078 80 ether ether NN 39713 2078 81 . . . 39713 2079 1 Now now RB 39713 2079 2 , , , 39713 2079 3 from from IN 39713 2079 4 what what WP 39713 2079 5 we -PRON- PRP 39713 2079 6 know know VBP 39713 2079 7 at at IN 39713 2079 8 present present JJ 39713 2079 9 , , , 39713 2079 10 it -PRON- PRP 39713 2079 11 seems seem VBZ 39713 2079 12 probable probable JJ 39713 2079 13 that that IN 39713 2079 14 things thing NNS 39713 2079 15 do do VBP 39713 2079 16 not not RB 39713 2079 17 happen happen VB 39713 2079 18 in in IN 39713 2079 19 this this DT 39713 2079 20 way way NN 39713 2079 21 . . . 39713 2080 1 However however RB 39713 2080 2 that that DT 39713 2080 3 may may MD 39713 2080 4 be be VB 39713 2080 5 , , , 39713 2080 6 thanks thank NNS 39713 2080 7 to to IN 39713 2080 8 Lorentz Lorentz NNP 39713 2080 9 , , , 39713 2080 10 Fizeau Fizeau NNP 39713 2080 11 's 's POS 39713 2080 12 results result NNS 39713 2080 13 on on IN 39713 2080 14 the the DT 39713 2080 15 optics optic NNS 39713 2080 16 of of IN 39713 2080 17 moving move VBG 39713 2080 18 bodies body NNS 39713 2080 19 , , , 39713 2080 20 the the DT 39713 2080 21 laws law NNS 39713 2080 22 of of IN 39713 2080 23 normal normal JJ 39713 2080 24 and and CC 39713 2080 25 anomalous anomalous JJ 39713 2080 26 dispersion dispersion NN 39713 2080 27 and and CC 39713 2080 28 of of IN 39713 2080 29 absorption absorption NN 39713 2080 30 find find VBP 39713 2080 31 themselves -PRON- PRP 39713 2080 32 linked link VBN 39713 2080 33 to to IN 39713 2080 34 one one CD 39713 2080 35 another another DT 39713 2080 36 and and CC 39713 2080 37 to to IN 39713 2080 38 the the DT 39713 2080 39 other other JJ 39713 2080 40 properties property NNS 39713 2080 41 of of IN 39713 2080 42 the the DT 39713 2080 43 ether ether NN 39713 2080 44 by by IN 39713 2080 45 bonds bond NNS 39713 2080 46 which which WDT 39713 2080 47 beyond beyond IN 39713 2080 48 any any DT 39713 2080 49 doubt doubt NN 39713 2080 50 will will MD 39713 2080 51 never never RB 39713 2080 52 more more RBR 39713 2080 53 be be VB 39713 2080 54 broken break VBN 39713 2080 55 . . . 39713 2081 1 See see VB 39713 2081 2 the the DT 39713 2081 3 facility facility NN 39713 2081 4 with with IN 39713 2081 5 which which WDT 39713 2081 6 the the DT 39713 2081 7 new new JJ 39713 2081 8 Zeeman Zeeman NNP 39713 2081 9 effect effect NN 39713 2081 10 has have VBZ 39713 2081 11 found find VBN 39713 2081 12 its -PRON- PRP$ 39713 2081 13 place place NN 39713 2081 14 already already RB 39713 2081 15 and and CC 39713 2081 16 has have VBZ 39713 2081 17 even even RB 39713 2081 18 aided aid VBN 39713 2081 19 in in IN 39713 2081 20 classifying classify VBG 39713 2081 21 Faraday Faraday NNP 39713 2081 22 's 's POS 39713 2081 23 magnetic magnetic JJ 39713 2081 24 rotation rotation NN 39713 2081 25 which which WDT 39713 2081 26 had have VBD 39713 2081 27 defied defy VBN 39713 2081 28 Maxwell Maxwell NNP 39713 2081 29 's 's POS 39713 2081 30 efforts effort NNS 39713 2081 31 ; ; : 39713 2081 32 this this DT 39713 2081 33 facility facility NN 39713 2081 34 abundantly abundantly RB 39713 2081 35 proves prove VBZ 39713 2081 36 that that IN 39713 2081 37 the the DT 39713 2081 38 theory theory NN 39713 2081 39 of of IN 39713 2081 40 Lorentz Lorentz NNP 39713 2081 41 is be VBZ 39713 2081 42 not not RB 39713 2081 43 an an DT 39713 2081 44 artificial artificial JJ 39713 2081 45 assemblage assemblage NN 39713 2081 46 destined destine VBN 39713 2081 47 to to TO 39713 2081 48 fall fall VB 39713 2081 49 asunder asunder RB 39713 2081 50 . . . 39713 2082 1 It -PRON- PRP 39713 2082 2 will will MD 39713 2082 3 probably probably RB 39713 2082 4 have have VB 39713 2082 5 to to TO 39713 2082 6 be be VB 39713 2082 7 modified modify VBN 39713 2082 8 , , , 39713 2082 9 but but CC 39713 2082 10 not not RB 39713 2082 11 destroyed destroy VBN 39713 2082 12 . . . 39713 2083 1 But but CC 39713 2083 2 Lorentz Lorentz NNP 39713 2083 3 had have VBD 39713 2083 4 no no DT 39713 2083 5 aim aim NN 39713 2083 6 beyond beyond IN 39713 2083 7 that that DT 39713 2083 8 of of IN 39713 2083 9 embracing embrace VBG 39713 2083 10 in in IN 39713 2083 11 one one CD 39713 2083 12 totality totality NN 39713 2083 13 all all PDT 39713 2083 14 the the DT 39713 2083 15 optics optic NNS 39713 2083 16 and and CC 39713 2083 17 electrodynamics electrodynamic NNS 39713 2083 18 of of IN 39713 2083 19 moving move VBG 39713 2083 20 bodies body NNS 39713 2083 21 ; ; : 39713 2083 22 he -PRON- PRP 39713 2083 23 never never RB 39713 2083 24 pretended pretend VBD 39713 2083 25 to to TO 39713 2083 26 give give VB 39713 2083 27 a a DT 39713 2083 28 mechanical mechanical JJ 39713 2083 29 explanation explanation NN 39713 2083 30 of of IN 39713 2083 31 them -PRON- PRP 39713 2083 32 . . . 39713 2084 1 Larmor larmor NN 39713 2084 2 goes go VBZ 39713 2084 3 further further RB 39713 2084 4 ; ; : 39713 2084 5 retaining retain VBG 39713 2084 6 the the DT 39713 2084 7 theory theory NN 39713 2084 8 of of IN 39713 2084 9 Lorentz Lorentz NNP 39713 2084 10 in in IN 39713 2084 11 essentials essential NNS 39713 2084 12 , , , 39713 2084 13 he -PRON- PRP 39713 2084 14 grafts graft VBZ 39713 2084 15 upon upon IN 39713 2084 16 it -PRON- PRP 39713 2084 17 , , , 39713 2084 18 so so RB 39713 2084 19 to to TO 39713 2084 20 speak speak VB 39713 2084 21 , , , 39713 2084 22 MacCullagh MacCullagh NNP 39713 2084 23 's 's POS 39713 2084 24 ideas idea NNS 39713 2084 25 on on IN 39713 2084 26 the the DT 39713 2084 27 direction direction NN 39713 2084 28 of of IN 39713 2084 29 the the DT 39713 2084 30 motions motion NNS 39713 2084 31 of of IN 39713 2084 32 the the DT 39713 2084 33 ether ether NN 39713 2084 34 . . . 39713 2085 1 According accord VBG 39713 2085 2 to to IN 39713 2085 3 him -PRON- PRP 39713 2085 4 , , , 39713 2085 5 the the DT 39713 2085 6 velocity velocity NN 39713 2085 7 of of IN 39713 2085 8 the the DT 39713 2085 9 ether ether NN 39713 2085 10 would would MD 39713 2085 11 have have VB 39713 2085 12 the the DT 39713 2085 13 same same JJ 39713 2085 14 direction direction NN 39713 2085 15 and and CC 39713 2085 16 the the DT 39713 2085 17 same same JJ 39713 2085 18 magnitude magnitude NN 39713 2085 19 as as IN 39713 2085 20 the the DT 39713 2085 21 magnetic magnetic JJ 39713 2085 22 force force NN 39713 2085 23 . . . 39713 2086 1 However however RB 39713 2086 2 ingenious ingenious JJ 39713 2086 3 this this DT 39713 2086 4 attempt attempt NN 39713 2086 5 may may MD 39713 2086 6 be be VB 39713 2086 7 , , , 39713 2086 8 the the DT 39713 2086 9 defect defect NN 39713 2086 10 of of IN 39713 2086 11 the the DT 39713 2086 12 theory theory NN 39713 2086 13 of of IN 39713 2086 14 Lorentz Lorentz NNP 39713 2086 15 remains remain VBZ 39713 2086 16 and and CC 39713 2086 17 is be VBZ 39713 2086 18 even even RB 39713 2086 19 aggravated aggravate VBN 39713 2086 20 . . . 39713 2087 1 With with IN 39713 2087 2 Lorentz Lorentz NNP 39713 2087 3 , , , 39713 2087 4 we -PRON- PRP 39713 2087 5 do do VBP 39713 2087 6 not not RB 39713 2087 7 know know VB 39713 2087 8 what what WP 39713 2087 9 are be VBP 39713 2087 10 the the DT 39713 2087 11 motions motion NNS 39713 2087 12 of of IN 39713 2087 13 the the DT 39713 2087 14 ether ether NN 39713 2087 15 ; ; : 39713 2087 16 thanks thank NNS 39713 2087 17 to to IN 39713 2087 18 this this DT 39713 2087 19 ignorance ignorance NN 39713 2087 20 , , , 39713 2087 21 we -PRON- PRP 39713 2087 22 may may MD 39713 2087 23 suppose suppose VB 39713 2087 24 them -PRON- PRP 39713 2087 25 such such JJ 39713 2087 26 that that IN 39713 2087 27 , , , 39713 2087 28 compensating compensate VBG 39713 2087 29 those those DT 39713 2087 30 of of IN 39713 2087 31 matter matter NN 39713 2087 32 , , , 39713 2087 33 they -PRON- PRP 39713 2087 34 reestablish reestablish VBP 39713 2087 35 the the DT 39713 2087 36 equality equality NN 39713 2087 37 of of IN 39713 2087 38 action action NN 39713 2087 39 and and CC 39713 2087 40 reaction reaction NN 39713 2087 41 . . . 39713 2088 1 With with IN 39713 2088 2 Larmor Larmor NNP 39713 2088 3 , , , 39713 2088 4 we -PRON- PRP 39713 2088 5 know know VBP 39713 2088 6 the the DT 39713 2088 7 motions motion NNS 39713 2088 8 of of IN 39713 2088 9 the the DT 39713 2088 10 ether ether NN 39713 2088 11 , , , 39713 2088 12 and and CC 39713 2088 13 we -PRON- PRP 39713 2088 14 can can MD 39713 2088 15 ascertain ascertain VB 39713 2088 16 that that IN 39713 2088 17 the the DT 39713 2088 18 compensation compensation NN 39713 2088 19 does do VBZ 39713 2088 20 not not RB 39713 2088 21 take take VB 39713 2088 22 place place NN 39713 2088 23 . . . 39713 2089 1 If if IN 39713 2089 2 Larmor Larmor NNP 39713 2089 3 has have VBZ 39713 2089 4 failed fail VBN 39713 2089 5 , , , 39713 2089 6 as as IN 39713 2089 7 it -PRON- PRP 39713 2089 8 seems seem VBZ 39713 2089 9 to to IN 39713 2089 10 me -PRON- PRP 39713 2089 11 he -PRON- PRP 39713 2089 12 has have VBZ 39713 2089 13 , , , 39713 2089 14 does do VBZ 39713 2089 15 that that DT 39713 2089 16 mean mean VB 39713 2089 17 that that IN 39713 2089 18 a a DT 39713 2089 19 mechanical mechanical JJ 39713 2089 20 explanation explanation NN 39713 2089 21 is be VBZ 39713 2089 22 impossible impossible JJ 39713 2089 23 ? ? . 39713 2090 1 Far far RB 39713 2090 2 from from IN 39713 2090 3 it -PRON- PRP 39713 2090 4 : : : 39713 2090 5 I -PRON- PRP 39713 2090 6 have have VBP 39713 2090 7 said say VBD 39713 2090 8 above above IN 39713 2090 9 that that IN 39713 2090 10 when when WRB 39713 2090 11 a a DT 39713 2090 12 phenomenon phenomenon NN 39713 2090 13 obeys obey VBZ 39713 2090 14 the the DT 39713 2090 15 two two CD 39713 2090 16 principles principle NNS 39713 2090 17 of of IN 39713 2090 18 energy energy NN 39713 2090 19 and and CC 39713 2090 20 of of IN 39713 2090 21 least least JJS 39713 2090 22 action action NN 39713 2090 23 , , , 39713 2090 24 it -PRON- PRP 39713 2090 25 admits admit VBZ 39713 2090 26 of of IN 39713 2090 27 an an DT 39713 2090 28 infinity infinity NN 39713 2090 29 of of IN 39713 2090 30 mechanical mechanical JJ 39713 2090 31 explanations explanation NNS 39713 2090 32 ; ; : 39713 2090 33 so so CC 39713 2090 34 it -PRON- PRP 39713 2090 35 is be VBZ 39713 2090 36 , , , 39713 2090 37 therefore therefore RB 39713 2090 38 , , , 39713 2090 39 with with IN 39713 2090 40 the the DT 39713 2090 41 optical optical JJ 39713 2090 42 and and CC 39713 2090 43 electrical electrical JJ 39713 2090 44 phenomena phenomenon NNS 39713 2090 45 . . . 39713 2091 1 But but CC 39713 2091 2 this this DT 39713 2091 3 is be VBZ 39713 2091 4 not not RB 39713 2091 5 enough enough JJ 39713 2091 6 : : : 39713 2091 7 for for IN 39713 2091 8 a a DT 39713 2091 9 mechanical mechanical JJ 39713 2091 10 explanation explanation NN 39713 2091 11 to to TO 39713 2091 12 be be VB 39713 2091 13 good good JJ 39713 2091 14 , , , 39713 2091 15 it -PRON- PRP 39713 2091 16 must must MD 39713 2091 17 be be VB 39713 2091 18 simple simple JJ 39713 2091 19 ; ; : 39713 2091 20 for for IN 39713 2091 21 choosing choose VBG 39713 2091 22 it -PRON- PRP 39713 2091 23 among among IN 39713 2091 24 all all DT 39713 2091 25 which which WDT 39713 2091 26 are be VBP 39713 2091 27 possible possible JJ 39713 2091 28 , , , 39713 2091 29 there there EX 39713 2091 30 should should MD 39713 2091 31 be be VB 39713 2091 32 other other JJ 39713 2091 33 reasons reason NNS 39713 2091 34 besides besides IN 39713 2091 35 the the DT 39713 2091 36 necessity necessity NN 39713 2091 37 of of IN 39713 2091 38 making make VBG 39713 2091 39 a a DT 39713 2091 40 choice choice NN 39713 2091 41 . . . 39713 2092 1 Well well UH 39713 2092 2 , , , 39713 2092 3 we -PRON- PRP 39713 2092 4 have have VBP 39713 2092 5 not not RB 39713 2092 6 as as RB 39713 2092 7 yet yet RB 39713 2092 8 a a DT 39713 2092 9 theory theory NN 39713 2092 10 satisfying satisfy VBG 39713 2092 11 this this DT 39713 2092 12 condition condition NN 39713 2092 13 and and CC 39713 2092 14 consequently consequently RB 39713 2092 15 good good JJ 39713 2092 16 for for IN 39713 2092 17 something something NN 39713 2092 18 . . . 39713 2093 1 Must Must MD 39713 2093 2 we -PRON- PRP 39713 2093 3 lament lament VB 39713 2093 4 this this DT 39713 2093 5 ? ? . 39713 2094 1 That that DT 39713 2094 2 would would MD 39713 2094 3 be be VB 39713 2094 4 to to TO 39713 2094 5 forget forget VB 39713 2094 6 what what WP 39713 2094 7 is be VBZ 39713 2094 8 the the DT 39713 2094 9 goal goal NN 39713 2094 10 sought seek VBN 39713 2094 11 ; ; : 39713 2094 12 this this DT 39713 2094 13 is be VBZ 39713 2094 14 not not RB 39713 2094 15 mechanism mechanism JJ 39713 2094 16 ; ; : 39713 2094 17 the the DT 39713 2094 18 true true JJ 39713 2094 19 , , , 39713 2094 20 the the DT 39713 2094 21 sole sole JJ 39713 2094 22 aim aim NN 39713 2094 23 is be VBZ 39713 2094 24 unity unity NN 39713 2094 25 . . . 39713 2095 1 We -PRON- PRP 39713 2095 2 must must MD 39713 2095 3 therefore therefore RB 39713 2095 4 set set VB 39713 2095 5 bounds bound NNS 39713 2095 6 to to IN 39713 2095 7 our -PRON- PRP$ 39713 2095 8 ambition ambition NN 39713 2095 9 ; ; : 39713 2095 10 let let VB 39713 2095 11 us -PRON- PRP 39713 2095 12 not not RB 39713 2095 13 try try VB 39713 2095 14 to to TO 39713 2095 15 formulate formulate VB 39713 2095 16 a a DT 39713 2095 17 mechanical mechanical JJ 39713 2095 18 explanation explanation NN 39713 2095 19 ; ; : 39713 2095 20 let let VB 39713 2095 21 us -PRON- PRP 39713 2095 22 be be VB 39713 2095 23 content content JJ 39713 2095 24 with with IN 39713 2095 25 showing show VBG 39713 2095 26 that that IN 39713 2095 27 we -PRON- PRP 39713 2095 28 could could MD 39713 2095 29 always always RB 39713 2095 30 find find VB 39713 2095 31 one one NN 39713 2095 32 if if IN 39713 2095 33 we -PRON- PRP 39713 2095 34 wished wish VBD 39713 2095 35 to to TO 39713 2095 36 . . . 39713 2096 1 In in IN 39713 2096 2 this this DT 39713 2096 3 regard regard NN 39713 2096 4 we -PRON- PRP 39713 2096 5 have have VBP 39713 2096 6 been be VBN 39713 2096 7 successful successful JJ 39713 2096 8 ; ; : 39713 2096 9 the the DT 39713 2096 10 principle principle NN 39713 2096 11 of of IN 39713 2096 12 the the DT 39713 2096 13 conservation conservation NN 39713 2096 14 of of IN 39713 2096 15 energy energy NN 39713 2096 16 has have VBZ 39713 2096 17 received receive VBN 39713 2096 18 only only RB 39713 2096 19 confirmations confirmation NNS 39713 2096 20 ; ; : 39713 2096 21 a a DT 39713 2096 22 second second JJ 39713 2096 23 principle principle NN 39713 2096 24 has have VBZ 39713 2096 25 come come VBN 39713 2096 26 to to TO 39713 2096 27 join join VB 39713 2096 28 it -PRON- PRP 39713 2096 29 , , , 39713 2096 30 that that DT 39713 2096 31 of of IN 39713 2096 32 least least JJS 39713 2096 33 action action NN 39713 2096 34 , , , 39713 2096 35 put put VBN 39713 2096 36 under under IN 39713 2096 37 the the DT 39713 2096 38 form form NN 39713 2096 39 which which WDT 39713 2096 40 is be VBZ 39713 2096 41 suitable suitable JJ 39713 2096 42 for for IN 39713 2096 43 physics physics NN 39713 2096 44 . . . 39713 2097 1 It -PRON- PRP 39713 2097 2 also also RB 39713 2097 3 has have VBZ 39713 2097 4 always always RB 39713 2097 5 been be VBN 39713 2097 6 verified verify VBN 39713 2097 7 , , , 39713 2097 8 at at IN 39713 2097 9 least least JJS 39713 2097 10 in in RB 39713 2097 11 so so RB 39713 2097 12 far far RB 39713 2097 13 as as IN 39713 2097 14 concerns concern NNS 39713 2097 15 reversible reversible JJ 39713 2097 16 phenomena phenomenon NNS 39713 2097 17 which which WDT 39713 2097 18 thus thus RB 39713 2097 19 obey obey VBP 39713 2097 20 the the DT 39713 2097 21 equations equation NNS 39713 2097 22 of of IN 39713 2097 23 Lagrange Lagrange NNP 39713 2097 24 , , , 39713 2097 25 that that DT 39713 2097 26 is be VBZ 39713 2097 27 to to TO 39713 2097 28 say say VB 39713 2097 29 , , , 39713 2097 30 the the DT 39713 2097 31 most most RBS 39713 2097 32 general general JJ 39713 2097 33 laws law NNS 39713 2097 34 of of IN 39713 2097 35 mechanics mechanic NNS 39713 2097 36 . . . 39713 2098 1 Irreversible irreversible JJ 39713 2098 2 phenomena phenomenon NNS 39713 2098 3 are be VBP 39713 2098 4 much much RB 39713 2098 5 more more RBR 39713 2098 6 rebellious rebellious JJ 39713 2098 7 . . . 39713 2099 1 Yet yet RB 39713 2099 2 these these DT 39713 2099 3 also also RB 39713 2099 4 are be VBP 39713 2099 5 being be VBG 39713 2099 6 coordinated coordinate VBN 39713 2099 7 , , , 39713 2099 8 and and CC 39713 2099 9 tend tend VB 39713 2099 10 to to TO 39713 2099 11 come come VB 39713 2099 12 into into IN 39713 2099 13 unity unity NN 39713 2099 14 ; ; : 39713 2099 15 the the DT 39713 2099 16 light light NN 39713 2099 17 which which WDT 39713 2099 18 has have VBZ 39713 2099 19 illuminated illuminate VBN 39713 2099 20 them -PRON- PRP 39713 2099 21 has have VBZ 39713 2099 22 come come VBN 39713 2099 23 to to IN 39713 2099 24 us -PRON- PRP 39713 2099 25 from from IN 39713 2099 26 Carnot Carnot NNP 39713 2099 27 's 's POS 39713 2099 28 principle principle NN 39713 2099 29 . . . 39713 2100 1 Long long RB 39713 2100 2 did do VBD 39713 2100 3 thermodynamics thermodynamic NNS 39713 2100 4 confine confine VB 39713 2100 5 itself -PRON- PRP 39713 2100 6 to to IN 39713 2100 7 the the DT 39713 2100 8 study study NN 39713 2100 9 of of IN 39713 2100 10 the the DT 39713 2100 11 dilatation dilatation NN 39713 2100 12 of of IN 39713 2100 13 bodies body NNS 39713 2100 14 and and CC 39713 2100 15 their -PRON- PRP$ 39713 2100 16 changes change NNS 39713 2100 17 of of IN 39713 2100 18 state state NN 39713 2100 19 . . . 39713 2101 1 For for IN 39713 2101 2 some some DT 39713 2101 3 time time NN 39713 2101 4 past past IN 39713 2101 5 it -PRON- PRP 39713 2101 6 has have VBZ 39713 2101 7 been be VBN 39713 2101 8 growing grow VBG 39713 2101 9 bolder bold JJR 39713 2101 10 and and CC 39713 2101 11 has have VBZ 39713 2101 12 considerably considerably RB 39713 2101 13 extended extend VBN 39713 2101 14 its -PRON- PRP$ 39713 2101 15 domain domain NN 39713 2101 16 . . . 39713 2102 1 We -PRON- PRP 39713 2102 2 owe owe VBP 39713 2102 3 to to IN 39713 2102 4 it -PRON- PRP 39713 2102 5 the the DT 39713 2102 6 theory theory NN 39713 2102 7 of of IN 39713 2102 8 the the DT 39713 2102 9 galvanic galvanic JJ 39713 2102 10 battery battery NN 39713 2102 11 and and CC 39713 2102 12 that that DT 39713 2102 13 of of IN 39713 2102 14 the the DT 39713 2102 15 thermoelectric thermoelectric NN 39713 2102 16 phenomena phenomenon NNS 39713 2102 17 ; ; : 39713 2102 18 there there EX 39713 2102 19 is be VBZ 39713 2102 20 not not RB 39713 2102 21 in in IN 39713 2102 22 all all DT 39713 2102 23 physics physics NN 39713 2102 24 a a DT 39713 2102 25 corner corner NN 39713 2102 26 that that IN 39713 2102 27 it -PRON- PRP 39713 2102 28 has have VBZ 39713 2102 29 not not RB 39713 2102 30 explored explore VBN 39713 2102 31 , , , 39713 2102 32 and and CC 39713 2102 33 it -PRON- PRP 39713 2102 34 has have VBZ 39713 2102 35 attacked attack VBN 39713 2102 36 chemistry chemistry NN 39713 2102 37 itself -PRON- PRP 39713 2102 38 . . . 39713 2103 1 Everywhere everywhere RB 39713 2103 2 the the DT 39713 2103 3 same same JJ 39713 2103 4 laws law NNS 39713 2103 5 reign reign VBP 39713 2103 6 ; ; : 39713 2103 7 everywhere everywhere RB 39713 2103 8 , , , 39713 2103 9 under under IN 39713 2103 10 the the DT 39713 2103 11 diversity diversity NN 39713 2103 12 of of IN 39713 2103 13 appearances appearance NNS 39713 2103 14 , , , 39713 2103 15 is be VBZ 39713 2103 16 found find VBN 39713 2103 17 again again RB 39713 2103 18 Carnot Carnot NNP 39713 2103 19 's 's POS 39713 2103 20 principle principle NN 39713 2103 21 ; ; : 39713 2103 22 everywhere everywhere RB 39713 2103 23 also also RB 39713 2103 24 is be VBZ 39713 2103 25 found find VBN 39713 2103 26 that that DT 39713 2103 27 concept concept NN 39713 2103 28 so so RB 39713 2103 29 prodigiously prodigiously RB 39713 2103 30 abstract abstract JJ 39713 2103 31 of of IN 39713 2103 32 entropy entropy JJ 39713 2103 33 , , , 39713 2103 34 which which WDT 39713 2103 35 is be VBZ 39713 2103 36 as as RB 39713 2103 37 universal universal JJ 39713 2103 38 as as IN 39713 2103 39 that that DT 39713 2103 40 of of IN 39713 2103 41 energy energy NN 39713 2103 42 and and CC 39713 2103 43 seems seem VBZ 39713 2103 44 like like IN 39713 2103 45 it -PRON- PRP 39713 2103 46 to to TO 39713 2103 47 cover cover VB 39713 2103 48 a a DT 39713 2103 49 reality reality NN 39713 2103 50 . . . 39713 2104 1 Radiant radiant JJ 39713 2104 2 heat heat NN 39713 2104 3 seemed seem VBD 39713 2104 4 destined destine VBN 39713 2104 5 to to TO 39713 2104 6 escape escape VB 39713 2104 7 it -PRON- PRP 39713 2104 8 ; ; : 39713 2104 9 but but CC 39713 2104 10 recently recently RB 39713 2104 11 we -PRON- PRP 39713 2104 12 have have VBP 39713 2104 13 seen see VBN 39713 2104 14 that that DT 39713 2104 15 submit submit NN 39713 2104 16 to to IN 39713 2104 17 the the DT 39713 2104 18 same same JJ 39713 2104 19 laws law NNS 39713 2104 20 . . . 39713 2105 1 In in IN 39713 2105 2 this this DT 39713 2105 3 way way NN 39713 2105 4 fresh fresh JJ 39713 2105 5 analogies analogy NNS 39713 2105 6 are be VBP 39713 2105 7 revealed reveal VBN 39713 2105 8 to to IN 39713 2105 9 us -PRON- PRP 39713 2105 10 , , , 39713 2105 11 which which WDT 39713 2105 12 may may MD 39713 2105 13 often often RB 39713 2105 14 be be VB 39713 2105 15 followed follow VBN 39713 2105 16 into into IN 39713 2105 17 detail detail NN 39713 2105 18 ; ; , 39713 2105 19 ohmic ohmic JJ 39713 2105 20 resistance resistance NN 39713 2105 21 resembles resemble VBZ 39713 2105 22 the the DT 39713 2105 23 viscosity viscosity NN 39713 2105 24 of of IN 39713 2105 25 liquids liquid NNS 39713 2105 26 ; ; : 39713 2105 27 hysteresis hysteresis NN 39713 2105 28 would would MD 39713 2105 29 resemble resemble VB 39713 2105 30 rather rather RB 39713 2105 31 the the DT 39713 2105 32 friction friction NN 39713 2105 33 of of IN 39713 2105 34 solids solid NNS 39713 2105 35 . . . 39713 2106 1 In in IN 39713 2106 2 all all DT 39713 2106 3 cases case NNS 39713 2106 4 , , , 39713 2106 5 friction friction NN 39713 2106 6 would would MD 39713 2106 7 appear appear VB 39713 2106 8 to to TO 39713 2106 9 be be VB 39713 2106 10 the the DT 39713 2106 11 type type NN 39713 2106 12 which which WDT 39713 2106 13 the the DT 39713 2106 14 most most RBS 39713 2106 15 various various JJ 39713 2106 16 irreversible irreversible JJ 39713 2106 17 phenomena phenomenon NNS 39713 2106 18 copy copy VBP 39713 2106 19 , , , 39713 2106 20 and and CC 39713 2106 21 this this DT 39713 2106 22 kinship kinship NN 39713 2106 23 is be VBZ 39713 2106 24 real real JJ 39713 2106 25 and and CC 39713 2106 26 profound profound JJ 39713 2106 27 . . . 39713 2107 1 Of of IN 39713 2107 2 these these DT 39713 2107 3 phenomena phenomenon NNS 39713 2107 4 a a DT 39713 2107 5 mechanical mechanical JJ 39713 2107 6 explanation explanation NN 39713 2107 7 , , , 39713 2107 8 properly properly RB 39713 2107 9 so so RB 39713 2107 10 called call VBN 39713 2107 11 , , , 39713 2107 12 has have VBZ 39713 2107 13 also also RB 39713 2107 14 been be VBN 39713 2107 15 sought seek VBN 39713 2107 16 . . . 39713 2108 1 They -PRON- PRP 39713 2108 2 hardly hardly RB 39713 2108 3 lent lend VBD 39713 2108 4 themselves -PRON- PRP 39713 2108 5 to to IN 39713 2108 6 it -PRON- PRP 39713 2108 7 . . . 39713 2109 1 To to TO 39713 2109 2 find find VB 39713 2109 3 it -PRON- PRP 39713 2109 4 , , , 39713 2109 5 it -PRON- PRP 39713 2109 6 was be VBD 39713 2109 7 necessary necessary JJ 39713 2109 8 to to TO 39713 2109 9 suppose suppose VB 39713 2109 10 that that IN 39713 2109 11 the the DT 39713 2109 12 irreversibility irreversibility NN 39713 2109 13 is be VBZ 39713 2109 14 only only RB 39713 2109 15 apparent apparent JJ 39713 2109 16 , , , 39713 2109 17 that that IN 39713 2109 18 the the DT 39713 2109 19 elementary elementary JJ 39713 2109 20 phenomena phenomenon NNS 39713 2109 21 are be VBP 39713 2109 22 reversible reversible JJ 39713 2109 23 and and CC 39713 2109 24 obey obey VBP 39713 2109 25 the the DT 39713 2109 26 known known JJ 39713 2109 27 laws law NNS 39713 2109 28 of of IN 39713 2109 29 dynamics dynamic NNS 39713 2109 30 . . . 39713 2110 1 But but CC 39713 2110 2 the the DT 39713 2110 3 elements element NNS 39713 2110 4 are be VBP 39713 2110 5 extremely extremely RB 39713 2110 6 numerous numerous JJ 39713 2110 7 and and CC 39713 2110 8 blend blend VB 39713 2110 9 more more RBR 39713 2110 10 and and CC 39713 2110 11 more more RBR 39713 2110 12 , , , 39713 2110 13 so so IN 39713 2110 14 that that IN 39713 2110 15 to to IN 39713 2110 16 our -PRON- PRP$ 39713 2110 17 crude crude JJ 39713 2110 18 sight sight NN 39713 2110 19 all all DT 39713 2110 20 appears appear VBZ 39713 2110 21 to to TO 39713 2110 22 tend tend VB 39713 2110 23 toward toward IN 39713 2110 24 uniformity uniformity NN 39713 2110 25 , , , 39713 2110 26 that that RB 39713 2110 27 is is RB 39713 2110 28 , , , 39713 2110 29 everything everything NN 39713 2110 30 seems seem VBZ 39713 2110 31 to to TO 39713 2110 32 go go VB 39713 2110 33 forward forward RB 39713 2110 34 in in IN 39713 2110 35 the the DT 39713 2110 36 same same JJ 39713 2110 37 sense sense NN 39713 2110 38 without without IN 39713 2110 39 hope hope NN 39713 2110 40 of of IN 39713 2110 41 return return NN 39713 2110 42 . . . 39713 2111 1 The the DT 39713 2111 2 apparent apparent JJ 39713 2111 3 irreversibility irreversibility NN 39713 2111 4 is be VBZ 39713 2111 5 thus thus RB 39713 2111 6 only only RB 39713 2111 7 an an DT 39713 2111 8 effect effect NN 39713 2111 9 of of IN 39713 2111 10 the the DT 39713 2111 11 law law NN 39713 2111 12 of of IN 39713 2111 13 great great JJ 39713 2111 14 numbers number NNS 39713 2111 15 . . . 39713 2112 1 But but CC 39713 2112 2 , , , 39713 2112 3 only only RB 39713 2112 4 a a DT 39713 2112 5 being being NN 39713 2112 6 with with IN 39713 2112 7 infinitely infinitely JJ 39713 2112 8 subtile subtile NN 39713 2112 9 senses sense NNS 39713 2112 10 , , , 39713 2112 11 like like IN 39713 2112 12 Maxwell Maxwell NNP 39713 2112 13 's 's POS 39713 2112 14 imaginary imaginary JJ 39713 2112 15 demon demon NN 39713 2112 16 , , , 39713 2112 17 could could MD 39713 2112 18 disentangle disentangle VB 39713 2112 19 this this DT 39713 2112 20 inextricable inextricable JJ 39713 2112 21 skein skein NN 39713 2112 22 and and CC 39713 2112 23 turn turn VB 39713 2112 24 back back RB 39713 2112 25 the the DT 39713 2112 26 course course NN 39713 2112 27 of of IN 39713 2112 28 the the DT 39713 2112 29 universe universe NN 39713 2112 30 . . . 39713 2113 1 This this DT 39713 2113 2 conception conception NN 39713 2113 3 , , , 39713 2113 4 which which WDT 39713 2113 5 attaches attach VBZ 39713 2113 6 itself -PRON- PRP 39713 2113 7 to to IN 39713 2113 8 the the DT 39713 2113 9 kinetic kinetic JJ 39713 2113 10 theory theory NN 39713 2113 11 of of IN 39713 2113 12 gases gas NNS 39713 2113 13 , , , 39713 2113 14 has have VBZ 39713 2113 15 cost cost VBN 39713 2113 16 great great JJ 39713 2113 17 efforts effort NNS 39713 2113 18 and and CC 39713 2113 19 has have VBZ 39713 2113 20 not not RB 39713 2113 21 , , , 39713 2113 22 on on IN 39713 2113 23 the the DT 39713 2113 24 whole whole NN 39713 2113 25 , , , 39713 2113 26 been be VBN 39713 2113 27 fruitful fruitful JJ 39713 2113 28 ; ; : 39713 2113 29 but but CC 39713 2113 30 it -PRON- PRP 39713 2113 31 may may MD 39713 2113 32 become become VB 39713 2113 33 so so RB 39713 2113 34 . . . 39713 2114 1 This this DT 39713 2114 2 is be VBZ 39713 2114 3 not not RB 39713 2114 4 the the DT 39713 2114 5 place place NN 39713 2114 6 to to TO 39713 2114 7 examine examine VB 39713 2114 8 whether whether IN 39713 2114 9 it -PRON- PRP 39713 2114 10 does do VBZ 39713 2114 11 not not RB 39713 2114 12 lead lead VB 39713 2114 13 to to IN 39713 2114 14 contradictions contradiction NNS 39713 2114 15 and and CC 39713 2114 16 whether whether IN 39713 2114 17 it -PRON- PRP 39713 2114 18 is be VBZ 39713 2114 19 in in IN 39713 2114 20 conformity conformity NN 39713 2114 21 with with IN 39713 2114 22 the the DT 39713 2114 23 true true JJ 39713 2114 24 nature nature NN 39713 2114 25 of of IN 39713 2114 26 things thing NNS 39713 2114 27 . . . 39713 2115 1 We -PRON- PRP 39713 2115 2 signalize signalize VBP 39713 2115 3 , , , 39713 2115 4 however however RB 39713 2115 5 , , , 39713 2115 6 M. M. NNP 39713 2115 7 Gouy Gouy NNP 39713 2115 8 's 's POS 39713 2115 9 original original JJ 39713 2115 10 ideas idea NNS 39713 2115 11 on on IN 39713 2115 12 the the DT 39713 2115 13 Brownian brownian JJ 39713 2115 14 movement movement NN 39713 2115 15 . . . 39713 2116 1 According accord VBG 39713 2116 2 to to IN 39713 2116 3 this this DT 39713 2116 4 scientist scientist NN 39713 2116 5 , , , 39713 2116 6 this this DT 39713 2116 7 singular singular JJ 39713 2116 8 motion motion NN 39713 2116 9 should should MD 39713 2116 10 escape escape VB 39713 2116 11 Carnot Carnot NNP 39713 2116 12 's 's POS 39713 2116 13 principle principle NN 39713 2116 14 . . . 39713 2117 1 The the DT 39713 2117 2 particles particle NNS 39713 2117 3 which which WDT 39713 2117 4 it -PRON- PRP 39713 2117 5 puts put VBZ 39713 2117 6 in in IN 39713 2117 7 swing swing NN 39713 2117 8 would would MD 39713 2117 9 be be VB 39713 2117 10 smaller small JJR 39713 2117 11 than than IN 39713 2117 12 the the DT 39713 2117 13 links link NNS 39713 2117 14 of of IN 39713 2117 15 that that DT 39713 2117 16 so so RB 39713 2117 17 compacted compact VBD 39713 2117 18 skein skein NN 39713 2117 19 ; ; : 39713 2117 20 they -PRON- PRP 39713 2117 21 would would MD 39713 2117 22 therefore therefore RB 39713 2117 23 be be VB 39713 2117 24 fitted fit VBN 39713 2117 25 to to TO 39713 2117 26 disentangle disentangle VB 39713 2117 27 them -PRON- PRP 39713 2117 28 and and CC 39713 2117 29 hence hence RB 39713 2117 30 to to TO 39713 2117 31 make make VB 39713 2117 32 the the DT 39713 2117 33 world world NN 39713 2117 34 go go VB 39713 2117 35 backward backward RB 39713 2117 36 . . . 39713 2118 1 We -PRON- PRP 39713 2118 2 should should MD 39713 2118 3 almost almost RB 39713 2118 4 see see VB 39713 2118 5 Maxwell Maxwell NNP 39713 2118 6 's 's POS 39713 2118 7 demon demon NN 39713 2118 8 at at IN 39713 2118 9 work work NN 39713 2118 10 . . . 39713 2119 1 To to TO 39713 2119 2 summarize summarize VB 39713 2119 3 , , , 39713 2119 4 the the DT 39713 2119 5 previously previously RB 39713 2119 6 known know VBN 39713 2119 7 phenomena phenomenon NNS 39713 2119 8 are be VBP 39713 2119 9 better well JJR 39713 2119 10 and and CC 39713 2119 11 better well RBR 39713 2119 12 classified classify VBD 39713 2119 13 , , , 39713 2119 14 but but CC 39713 2119 15 new new JJ 39713 2119 16 phenomena phenomenon NNS 39713 2119 17 come come VBP 39713 2119 18 to to TO 39713 2119 19 claim claim VB 39713 2119 20 their -PRON- PRP$ 39713 2119 21 place place NN 39713 2119 22 ; ; : 39713 2119 23 most most JJS 39713 2119 24 of of IN 39713 2119 25 these these DT 39713 2119 26 , , , 39713 2119 27 like like IN 39713 2119 28 the the DT 39713 2119 29 Zeeman Zeeman NNP 39713 2119 30 effect effect NN 39713 2119 31 , , , 39713 2119 32 have have VBP 39713 2119 33 at at IN 39713 2119 34 once once RB 39713 2119 35 found find VBN 39713 2119 36 it -PRON- PRP 39713 2119 37 . . . 39713 2120 1 But but CC 39713 2120 2 we -PRON- PRP 39713 2120 3 have have VBP 39713 2120 4 the the DT 39713 2120 5 cathode cathode NN 39713 2120 6 rays ray NNS 39713 2120 7 , , , 39713 2120 8 the the DT 39713 2120 9 X X NNS 39713 2120 10 - - NNS 39713 2120 11 rays ray NNS 39713 2120 12 , , , 39713 2120 13 those those DT 39713 2120 14 of of IN 39713 2120 15 uranium uranium NN 39713 2120 16 and and CC 39713 2120 17 of of IN 39713 2120 18 radium radium NN 39713 2120 19 . . . 39713 2121 1 Herein Herein NNP 39713 2121 2 is be VBZ 39713 2121 3 a a DT 39713 2121 4 whole whole JJ 39713 2121 5 world world NN 39713 2121 6 which which WDT 39713 2121 7 no no DT 39713 2121 8 one one NN 39713 2121 9 suspected suspect VBD 39713 2121 10 . . . 39713 2122 1 How how WRB 39713 2122 2 many many JJ 39713 2122 3 unexpected unexpected JJ 39713 2122 4 guests guest NNS 39713 2122 5 must must MD 39713 2122 6 be be VB 39713 2122 7 stowed stow VBN 39713 2122 8 away away RB 39713 2122 9 ? ? . 39713 2123 1 No no DT 39713 2123 2 one one NN 39713 2123 3 can can MD 39713 2123 4 yet yet RB 39713 2123 5 foresee foresee VB 39713 2123 6 the the DT 39713 2123 7 place place NN 39713 2123 8 they -PRON- PRP 39713 2123 9 will will MD 39713 2123 10 occupy occupy VB 39713 2123 11 . . . 39713 2124 1 But but CC 39713 2124 2 I -PRON- PRP 39713 2124 3 do do VBP 39713 2124 4 not not RB 39713 2124 5 believe believe VB 39713 2124 6 they -PRON- PRP 39713 2124 7 will will MD 39713 2124 8 destroy destroy VB 39713 2124 9 the the DT 39713 2124 10 general general JJ 39713 2124 11 unity unity NN 39713 2124 12 ; ; : 39713 2124 13 I -PRON- PRP 39713 2124 14 think think VBP 39713 2124 15 they -PRON- PRP 39713 2124 16 will will MD 39713 2124 17 rather rather RB 39713 2124 18 complete complete VB 39713 2124 19 it -PRON- PRP 39713 2124 20 . . . 39713 2125 1 On on IN 39713 2125 2 the the DT 39713 2125 3 one one CD 39713 2125 4 hand hand NN 39713 2125 5 , , , 39713 2125 6 in in IN 39713 2125 7 fact fact NN 39713 2125 8 , , , 39713 2125 9 the the DT 39713 2125 10 new new JJ 39713 2125 11 radiations radiation NNS 39713 2125 12 seem seem VBP 39713 2125 13 connected connect VBN 39713 2125 14 with with IN 39713 2125 15 the the DT 39713 2125 16 phenomena phenomenon NNS 39713 2125 17 of of IN 39713 2125 18 luminescence luminescence NN 39713 2125 19 ; ; : 39713 2125 20 not not RB 39713 2125 21 only only RB 39713 2125 22 do do VBP 39713 2125 23 they -PRON- PRP 39713 2125 24 excite excite VB 39713 2125 25 fluorescence fluorescence NN 39713 2125 26 , , , 39713 2125 27 but but CC 39713 2125 28 they -PRON- PRP 39713 2125 29 sometimes sometimes RB 39713 2125 30 take take VBP 39713 2125 31 birth birth NN 39713 2125 32 in in IN 39713 2125 33 the the DT 39713 2125 34 same same JJ 39713 2125 35 conditions condition NNS 39713 2125 36 as as IN 39713 2125 37 it -PRON- PRP 39713 2125 38 . . . 39713 2126 1 Nor nor CC 39713 2126 2 are be VBP 39713 2126 3 they -PRON- PRP 39713 2126 4 without without IN 39713 2126 5 kinship kinship NN 39713 2126 6 with with IN 39713 2126 7 the the DT 39713 2126 8 causes cause NNS 39713 2126 9 which which WDT 39713 2126 10 produce produce VBP 39713 2126 11 the the DT 39713 2126 12 electric electric JJ 39713 2126 13 spark spark NN 39713 2126 14 under under IN 39713 2126 15 the the DT 39713 2126 16 action action NN 39713 2126 17 of of IN 39713 2126 18 the the DT 39713 2126 19 ultra ultra JJ 39713 2126 20 - - JJ 39713 2126 21 violet violet JJ 39713 2126 22 light light NN 39713 2126 23 . . . 39713 2127 1 Finally finally RB 39713 2127 2 , , , 39713 2127 3 and and CC 39713 2127 4 above above IN 39713 2127 5 all all DT 39713 2127 6 , , , 39713 2127 7 it -PRON- PRP 39713 2127 8 is be VBZ 39713 2127 9 believed believe VBN 39713 2127 10 that that IN 39713 2127 11 in in IN 39713 2127 12 all all PDT 39713 2127 13 these these DT 39713 2127 14 phenomena phenomenon NNS 39713 2127 15 are be VBP 39713 2127 16 found find VBN 39713 2127 17 true true JJ 39713 2127 18 ions ion NNS 39713 2127 19 , , , 39713 2127 20 animated animate VBN 39713 2127 21 , , , 39713 2127 22 it -PRON- PRP 39713 2127 23 is be VBZ 39713 2127 24 true true JJ 39713 2127 25 , , , 39713 2127 26 by by IN 39713 2127 27 velocities velocity NNS 39713 2127 28 incomparably incomparably RB 39713 2127 29 greater great JJR 39713 2127 30 than than IN 39713 2127 31 in in IN 39713 2127 32 the the DT 39713 2127 33 electrolytes electrolyte NNS 39713 2127 34 . . . 39713 2128 1 That that DT 39713 2128 2 is be VBZ 39713 2128 3 all all DT 39713 2128 4 very very RB 39713 2128 5 vague vague JJ 39713 2128 6 , , , 39713 2128 7 but but CC 39713 2128 8 it -PRON- PRP 39713 2128 9 will will MD 39713 2128 10 all all DT 39713 2128 11 become become VB 39713 2128 12 more more RBR 39713 2128 13 precise precise JJ 39713 2128 14 . . . 39713 2129 1 Phosphorescence phosphorescence NN 39713 2129 2 , , , 39713 2129 3 the the DT 39713 2129 4 action action NN 39713 2129 5 of of IN 39713 2129 6 light light NN 39713 2129 7 on on IN 39713 2129 8 the the DT 39713 2129 9 spark spark NN 39713 2129 10 , , , 39713 2129 11 these these DT 39713 2129 12 were be VBD 39713 2129 13 regions region NNS 39713 2129 14 rather rather RB 39713 2129 15 isolated isolated JJ 39713 2129 16 and and CC 39713 2129 17 consequently consequently RB 39713 2129 18 somewhat somewhat RB 39713 2129 19 neglected neglect VBN 39713 2129 20 by by IN 39713 2129 21 investigators investigator NNS 39713 2129 22 . . . 39713 2130 1 One one CD 39713 2130 2 may may MD 39713 2130 3 now now RB 39713 2130 4 hope hope VB 39713 2130 5 that that IN 39713 2130 6 a a DT 39713 2130 7 new new JJ 39713 2130 8 path path NN 39713 2130 9 will will MD 39713 2130 10 be be VB 39713 2130 11 constructed construct VBN 39713 2130 12 which which WDT 39713 2130 13 will will MD 39713 2130 14 facilitate facilitate VB 39713 2130 15 their -PRON- PRP$ 39713 2130 16 communications communication NNS 39713 2130 17 with with IN 39713 2130 18 the the DT 39713 2130 19 rest rest NN 39713 2130 20 of of IN 39713 2130 21 science science NN 39713 2130 22 . . . 39713 2131 1 Not not RB 39713 2131 2 only only RB 39713 2131 3 do do VBP 39713 2131 4 we -PRON- PRP 39713 2131 5 discover discover VB 39713 2131 6 new new JJ 39713 2131 7 phenomena phenomenon NNS 39713 2131 8 , , , 39713 2131 9 but but CC 39713 2131 10 in in IN 39713 2131 11 those those DT 39713 2131 12 we -PRON- PRP 39713 2131 13 thought think VBD 39713 2131 14 we -PRON- PRP 39713 2131 15 knew know VBD 39713 2131 16 , , , 39713 2131 17 unforeseen unforeseen JJ 39713 2131 18 aspects aspect NNS 39713 2131 19 reveal reveal VBP 39713 2131 20 themselves -PRON- PRP 39713 2131 21 . . . 39713 2132 1 In in IN 39713 2132 2 the the DT 39713 2132 3 free free JJ 39713 2132 4 ether ether NN 39713 2132 5 , , , 39713 2132 6 the the DT 39713 2132 7 laws law NNS 39713 2132 8 retain retain VBP 39713 2132 9 their -PRON- PRP$ 39713 2132 10 majestic majestic JJ 39713 2132 11 simplicity simplicity NN 39713 2132 12 ; ; : 39713 2132 13 but but CC 39713 2132 14 matter matter NN 39713 2132 15 , , , 39713 2132 16 properly properly RB 39713 2132 17 so so RB 39713 2132 18 called call VBN 39713 2132 19 , , , 39713 2132 20 seems seem VBZ 39713 2132 21 more more RBR 39713 2132 22 and and CC 39713 2132 23 more more RBR 39713 2132 24 complex complex JJ 39713 2132 25 ; ; : 39713 2132 26 all all DT 39713 2132 27 that that WDT 39713 2132 28 is be VBZ 39713 2132 29 said say VBN 39713 2132 30 of of IN 39713 2132 31 it -PRON- PRP 39713 2132 32 is be VBZ 39713 2132 33 never never RB 39713 2132 34 more more JJR 39713 2132 35 than than IN 39713 2132 36 approximate approximate JJ 39713 2132 37 , , , 39713 2132 38 and and CC 39713 2132 39 at at IN 39713 2132 40 each each DT 39713 2132 41 instant instant NN 39713 2132 42 our -PRON- PRP$ 39713 2132 43 formulas formula NNS 39713 2132 44 require require VBP 39713 2132 45 new new JJ 39713 2132 46 terms term NNS 39713 2132 47 . . . 39713 2133 1 Nevertheless nevertheless RB 39713 2133 2 the the DT 39713 2133 3 frames frame NNS 39713 2133 4 are be VBP 39713 2133 5 not not RB 39713 2133 6 broken break VBN 39713 2133 7 ; ; : 39713 2133 8 the the DT 39713 2133 9 relations relation NNS 39713 2133 10 that that WDT 39713 2133 11 we -PRON- PRP 39713 2133 12 have have VBP 39713 2133 13 recognized recognize VBN 39713 2133 14 between between IN 39713 2133 15 objects object NNS 39713 2133 16 we -PRON- PRP 39713 2133 17 thought think VBD 39713 2133 18 simple simple JJ 39713 2133 19 still still RB 39713 2133 20 subsist subsist NN 39713 2133 21 between between IN 39713 2133 22 these these DT 39713 2133 23 same same JJ 39713 2133 24 objects object NNS 39713 2133 25 when when WRB 39713 2133 26 we -PRON- PRP 39713 2133 27 know know VBP 39713 2133 28 their -PRON- PRP$ 39713 2133 29 complexity complexity NN 39713 2133 30 , , , 39713 2133 31 and and CC 39713 2133 32 it -PRON- PRP 39713 2133 33 is be VBZ 39713 2133 34 that that IN 39713 2133 35 alone alone JJ 39713 2133 36 which which WDT 39713 2133 37 is be VBZ 39713 2133 38 of of IN 39713 2133 39 importance importance NN 39713 2133 40 . . . 39713 2134 1 Our -PRON- PRP$ 39713 2134 2 equations equation NNS 39713 2134 3 become become VBP 39713 2134 4 , , , 39713 2134 5 it -PRON- PRP 39713 2134 6 is be VBZ 39713 2134 7 true true JJ 39713 2134 8 , , , 39713 2134 9 more more JJR 39713 2134 10 and and CC 39713 2134 11 more more RBR 39713 2134 12 complicated complicated JJ 39713 2134 13 , , , 39713 2134 14 in in IN 39713 2134 15 order order NN 39713 2134 16 to to TO 39713 2134 17 embrace embrace VB 39713 2134 18 more more RBR 39713 2134 19 closely closely RB 39713 2134 20 the the DT 39713 2134 21 complexity complexity NN 39713 2134 22 of of IN 39713 2134 23 nature nature NN 39713 2134 24 ; ; : 39713 2134 25 but but CC 39713 2134 26 nothing nothing NN 39713 2134 27 is be VBZ 39713 2134 28 changed change VBN 39713 2134 29 in in IN 39713 2134 30 the the DT 39713 2134 31 relations relation NNS 39713 2134 32 which which WDT 39713 2134 33 permit permit VBP 39713 2134 34 the the DT 39713 2134 35 deducing deducing NN 39713 2134 36 of of IN 39713 2134 37 these these DT 39713 2134 38 equations equation NNS 39713 2134 39 one one CD 39713 2134 40 from from IN 39713 2134 41 another another DT 39713 2134 42 . . . 39713 2135 1 In in IN 39713 2135 2 a a DT 39713 2135 3 word word NN 39713 2135 4 , , , 39713 2135 5 the the DT 39713 2135 6 form form NN 39713 2135 7 of of IN 39713 2135 8 these these DT 39713 2135 9 equations equation NNS 39713 2135 10 has have VBZ 39713 2135 11 persisted persist VBN 39713 2135 12 . . . 39713 2136 1 Take take VB 39713 2136 2 , , , 39713 2136 3 for for IN 39713 2136 4 example example NN 39713 2136 5 , , , 39713 2136 6 the the DT 39713 2136 7 laws law NNS 39713 2136 8 of of IN 39713 2136 9 reflection reflection NN 39713 2136 10 : : : 39713 2136 11 Fresnel Fresnel NNP 39713 2136 12 had have VBD 39713 2136 13 established establish VBN 39713 2136 14 them -PRON- PRP 39713 2136 15 by by IN 39713 2136 16 a a DT 39713 2136 17 simple simple JJ 39713 2136 18 and and CC 39713 2136 19 seductive seductive JJ 39713 2136 20 theory theory NN 39713 2136 21 which which WDT 39713 2136 22 experiment experiment NN 39713 2136 23 seemed seem VBD 39713 2136 24 to to TO 39713 2136 25 confirm confirm VB 39713 2136 26 . . . 39713 2137 1 Since since IN 39713 2137 2 then then RB 39713 2137 3 more more RBR 39713 2137 4 precise precise JJ 39713 2137 5 researches research NNS 39713 2137 6 have have VBP 39713 2137 7 proved prove VBN 39713 2137 8 that that IN 39713 2137 9 this this DT 39713 2137 10 verification verification NN 39713 2137 11 was be VBD 39713 2137 12 only only RB 39713 2137 13 approximate approximate JJ 39713 2137 14 ; ; : 39713 2137 15 they -PRON- PRP 39713 2137 16 have have VBP 39713 2137 17 shown show VBN 39713 2137 18 everywhere everywhere RB 39713 2137 19 traces trace NNS 39713 2137 20 of of IN 39713 2137 21 elliptic elliptic JJ 39713 2137 22 polarization polarization NN 39713 2137 23 . . . 39713 2138 1 But but CC 39713 2138 2 , , , 39713 2138 3 thanks thank NNS 39713 2138 4 to to IN 39713 2138 5 the the DT 39713 2138 6 help help NN 39713 2138 7 that that IN 39713 2138 8 the the DT 39713 2138 9 first first JJ 39713 2138 10 approximation approximation NN 39713 2138 11 gave give VBD 39713 2138 12 us -PRON- PRP 39713 2138 13 , , , 39713 2138 14 we -PRON- PRP 39713 2138 15 found find VBD 39713 2138 16 forthwith forthwith NNP 39713 2138 17 the the DT 39713 2138 18 cause cause NN 39713 2138 19 of of IN 39713 2138 20 these these DT 39713 2138 21 anomalies anomaly NNS 39713 2138 22 , , , 39713 2138 23 which which WDT 39713 2138 24 is be VBZ 39713 2138 25 the the DT 39713 2138 26 presence presence NN 39713 2138 27 of of IN 39713 2138 28 a a DT 39713 2138 29 transition transition NN 39713 2138 30 layer layer NN 39713 2138 31 ; ; : 39713 2138 32 and and CC 39713 2138 33 Fresnel Fresnel NNP 39713 2138 34 's 's POS 39713 2138 35 theory theory NN 39713 2138 36 has have VBZ 39713 2138 37 subsisted subsist VBN 39713 2138 38 in in IN 39713 2138 39 its -PRON- PRP$ 39713 2138 40 essentials essential NNS 39713 2138 41 . . . 39713 2139 1 But but CC 39713 2139 2 there there EX 39713 2139 3 is be VBZ 39713 2139 4 a a DT 39713 2139 5 reflection reflection NN 39713 2139 6 we -PRON- PRP 39713 2139 7 can can MD 39713 2139 8 not not RB 39713 2139 9 help help VB 39713 2139 10 making make VBG 39713 2139 11 : : : 39713 2139 12 All all PDT 39713 2139 13 these these DT 39713 2139 14 relations relation NNS 39713 2139 15 would would MD 39713 2139 16 have have VB 39713 2139 17 remained remain VBN 39713 2139 18 unperceived unperceived JJ 39713 2139 19 if if IN 39713 2139 20 one one PRP 39713 2139 21 had have VBD 39713 2139 22 at at IN 39713 2139 23 first first RB 39713 2139 24 suspected suspect VBN 39713 2139 25 the the DT 39713 2139 26 complexity complexity NN 39713 2139 27 of of IN 39713 2139 28 the the DT 39713 2139 29 objects object NNS 39713 2139 30 they -PRON- PRP 39713 2139 31 connect connect VBP 39713 2139 32 . . . 39713 2140 1 It -PRON- PRP 39713 2140 2 has have VBZ 39713 2140 3 long long RB 39713 2140 4 been be VBN 39713 2140 5 said say VBN 39713 2140 6 : : : 39713 2140 7 If if IN 39713 2140 8 Tycho Tycho NNP 39713 2140 9 had have VBD 39713 2140 10 had have VBN 39713 2140 11 instruments instrument NNS 39713 2140 12 ten ten CD 39713 2140 13 times time NNS 39713 2140 14 more more RBR 39713 2140 15 precise precise JJ 39713 2140 16 neither neither CC 39713 2140 17 Kepler Kepler NNP 39713 2140 18 , , , 39713 2140 19 nor nor CC 39713 2140 20 Newton Newton NNP 39713 2140 21 , , , 39713 2140 22 nor nor CC 39713 2140 23 astronomy astronomy NN 39713 2140 24 would would MD 39713 2140 25 ever ever RB 39713 2140 26 have have VB 39713 2140 27 been be VBN 39713 2140 28 . . . 39713 2141 1 It -PRON- PRP 39713 2141 2 is be VBZ 39713 2141 3 a a DT 39713 2141 4 misfortune misfortune NN 39713 2141 5 for for IN 39713 2141 6 a a DT 39713 2141 7 science science NN 39713 2141 8 to to TO 39713 2141 9 be be VB 39713 2141 10 born bear VBN 39713 2141 11 too too RB 39713 2141 12 late late RB 39713 2141 13 , , , 39713 2141 14 when when WRB 39713 2141 15 the the DT 39713 2141 16 means mean NNS 39713 2141 17 of of IN 39713 2141 18 observation observation NN 39713 2141 19 have have VBP 39713 2141 20 become become VBN 39713 2141 21 too too RB 39713 2141 22 perfect perfect JJ 39713 2141 23 . . . 39713 2142 1 This this DT 39713 2142 2 is be VBZ 39713 2142 3 to to NN 39713 2142 4 - - HYPH 39713 2142 5 day day NN 39713 2142 6 the the DT 39713 2142 7 case case NN 39713 2142 8 with with IN 39713 2142 9 physical physical JJ 39713 2142 10 chemistry chemistry NN 39713 2142 11 ; ; : 39713 2142 12 its -PRON- PRP$ 39713 2142 13 founders founder NNS 39713 2142 14 are be VBP 39713 2142 15 embarrassed embarrassed JJ 39713 2142 16 in in IN 39713 2142 17 their -PRON- PRP$ 39713 2142 18 general general JJ 39713 2142 19 grasp grasp NN 39713 2142 20 by by IN 39713 2142 21 third third JJ 39713 2142 22 and and CC 39713 2142 23 fourth fourth JJ 39713 2142 24 decimals decimal NNS 39713 2142 25 ; ; : 39713 2142 26 happily happily RB 39713 2142 27 they -PRON- PRP 39713 2142 28 are be VBP 39713 2142 29 men man NNS 39713 2142 30 of of IN 39713 2142 31 a a DT 39713 2142 32 robust robust JJ 39713 2142 33 faith faith NN 39713 2142 34 . . . 39713 2143 1 The the DT 39713 2143 2 better well JJR 39713 2143 3 one one NN 39713 2143 4 knows know VBZ 39713 2143 5 the the DT 39713 2143 6 properties property NNS 39713 2143 7 of of IN 39713 2143 8 matter matter NN 39713 2143 9 the the DT 39713 2143 10 more more JJR 39713 2143 11 one one NN 39713 2143 12 sees see VBZ 39713 2143 13 continuity continuity NN 39713 2143 14 reign reign NN 39713 2143 15 . . . 39713 2144 1 Since since IN 39713 2144 2 the the DT 39713 2144 3 labors labor NNS 39713 2144 4 of of IN 39713 2144 5 Andrews Andrews NNP 39713 2144 6 and and CC 39713 2144 7 of of IN 39713 2144 8 van van NNP 39713 2144 9 der der NNP 39713 2144 10 Waals Waals NNP 39713 2144 11 , , , 39713 2144 12 we -PRON- PRP 39713 2144 13 get get VBP 39713 2144 14 an an DT 39713 2144 15 idea idea NN 39713 2144 16 of of IN 39713 2144 17 how how WRB 39713 2144 18 the the DT 39713 2144 19 passage passage NN 39713 2144 20 is be VBZ 39713 2144 21 made make VBN 39713 2144 22 from from IN 39713 2144 23 the the DT 39713 2144 24 liquid liquid NN 39713 2144 25 to to IN 39713 2144 26 the the DT 39713 2144 27 gaseous gaseous JJ 39713 2144 28 state state NN 39713 2144 29 and and CC 39713 2144 30 that that IN 39713 2144 31 this this DT 39713 2144 32 passage passage NN 39713 2144 33 is be VBZ 39713 2144 34 not not RB 39713 2144 35 abrupt abrupt JJ 39713 2144 36 . . . 39713 2145 1 Similarly similarly RB 39713 2145 2 , , , 39713 2145 3 there there EX 39713 2145 4 is be VBZ 39713 2145 5 no no DT 39713 2145 6 gap gap NN 39713 2145 7 between between IN 39713 2145 8 the the DT 39713 2145 9 liquid liquid JJ 39713 2145 10 and and CC 39713 2145 11 solid solid JJ 39713 2145 12 states state NNS 39713 2145 13 , , , 39713 2145 14 and and CC 39713 2145 15 in in IN 39713 2145 16 the the DT 39713 2145 17 proceedings proceeding NNS 39713 2145 18 of of IN 39713 2145 19 a a DT 39713 2145 20 recent recent JJ 39713 2145 21 congress congress NNP 39713 2145 22 is be VBZ 39713 2145 23 to to TO 39713 2145 24 be be VB 39713 2145 25 seen see VBN 39713 2145 26 , , , 39713 2145 27 alongside alongside IN 39713 2145 28 of of IN 39713 2145 29 a a DT 39713 2145 30 work work NN 39713 2145 31 on on IN 39713 2145 32 the the DT 39713 2145 33 rigidity rigidity NN 39713 2145 34 of of IN 39713 2145 35 liquids liquid NNS 39713 2145 36 , , , 39713 2145 37 a a DT 39713 2145 38 memoir memoir NN 39713 2145 39 on on IN 39713 2145 40 the the DT 39713 2145 41 flow flow NN 39713 2145 42 of of IN 39713 2145 43 solids solid NNS 39713 2145 44 . . . 39713 2146 1 By by IN 39713 2146 2 this this DT 39713 2146 3 tendency tendency NN 39713 2146 4 no no RB 39713 2146 5 doubt doubt RB 39713 2146 6 simplicity simplicity NN 39713 2146 7 loses lose VBZ 39713 2146 8 ; ; : 39713 2146 9 some some DT 39713 2146 10 phenomenon phenomenon NN 39713 2146 11 was be VBD 39713 2146 12 formerly formerly RB 39713 2146 13 represented represent VBN 39713 2146 14 by by IN 39713 2146 15 several several JJ 39713 2146 16 straight straight JJ 39713 2146 17 lines line NNS 39713 2146 18 , , , 39713 2146 19 now now RB 39713 2146 20 these these DT 39713 2146 21 straights straight NNS 39713 2146 22 must must MD 39713 2146 23 be be VB 39713 2146 24 joined join VBN 39713 2146 25 by by IN 39713 2146 26 curves curve NNS 39713 2146 27 more more RBR 39713 2146 28 or or CC 39713 2146 29 less less RBR 39713 2146 30 complicated complicated JJ 39713 2146 31 . . . 39713 2147 1 In in IN 39713 2147 2 compensation compensation NN 39713 2147 3 unity unity NN 39713 2147 4 gains gain VBZ 39713 2147 5 notably notably RB 39713 2147 6 . . . 39713 2148 1 Those those DT 39713 2148 2 cut cut VBN 39713 2148 3 - - HYPH 39713 2148 4 off off RP 39713 2148 5 categories category NNS 39713 2148 6 quieted quiet VBD 39713 2148 7 the the DT 39713 2148 8 mind mind NN 39713 2148 9 , , , 39713 2148 10 but but CC 39713 2148 11 they -PRON- PRP 39713 2148 12 did do VBD 39713 2148 13 not not RB 39713 2148 14 satisfy satisfy VB 39713 2148 15 it -PRON- PRP 39713 2148 16 . . . 39713 2149 1 Finally finally RB 39713 2149 2 the the DT 39713 2149 3 methods method NNS 39713 2149 4 of of IN 39713 2149 5 physics physics NN 39713 2149 6 have have VBP 39713 2149 7 invaded invade VBN 39713 2149 8 a a DT 39713 2149 9 new new JJ 39713 2149 10 domain domain NN 39713 2149 11 , , , 39713 2149 12 that that DT 39713 2149 13 of of IN 39713 2149 14 chemistry chemistry NN 39713 2149 15 ; ; , 39713 2149 16 physical physical JJ 39713 2149 17 chemistry chemistry NN 39713 2149 18 is be VBZ 39713 2149 19 born bear VBN 39713 2149 20 . . . 39713 2150 1 It -PRON- PRP 39713 2150 2 is be VBZ 39713 2150 3 still still RB 39713 2150 4 very very RB 39713 2150 5 young young JJ 39713 2150 6 , , , 39713 2150 7 but but CC 39713 2150 8 we -PRON- PRP 39713 2150 9 already already RB 39713 2150 10 see see VBP 39713 2150 11 that that IN 39713 2150 12 it -PRON- PRP 39713 2150 13 will will MD 39713 2150 14 enable enable VB 39713 2150 15 us -PRON- PRP 39713 2150 16 to to TO 39713 2150 17 connect connect VB 39713 2150 18 such such JJ 39713 2150 19 phenomena phenomenon NNS 39713 2150 20 as as IN 39713 2150 21 electrolysis electrolysis NN 39713 2150 22 , , , 39713 2150 23 osmosis osmosis NN 39713 2150 24 and and CC 39713 2150 25 the the DT 39713 2150 26 motions motion NNS 39713 2150 27 of of IN 39713 2150 28 ions ion NNS 39713 2150 29 . . . 39713 2151 1 From from IN 39713 2151 2 this this DT 39713 2151 3 rapid rapid JJ 39713 2151 4 exposition exposition NN 39713 2151 5 , , , 39713 2151 6 what what WP 39713 2151 7 shall shall MD 39713 2151 8 we -PRON- PRP 39713 2151 9 conclude conclude VB 39713 2151 10 ? ? . 39713 2152 1 Everything everything NN 39713 2152 2 considered consider VBN 39713 2152 3 , , , 39713 2152 4 we -PRON- PRP 39713 2152 5 have have VBP 39713 2152 6 approached approach VBN 39713 2152 7 unity unity NN 39713 2152 8 ; ; : 39713 2152 9 we -PRON- PRP 39713 2152 10 have have VBP 39713 2152 11 not not RB 39713 2152 12 been be VBN 39713 2152 13 as as RB 39713 2152 14 quick quick JJ 39713 2152 15 as as IN 39713 2152 16 was be VBD 39713 2152 17 hoped hope VBN 39713 2152 18 fifty fifty CD 39713 2152 19 years year NNS 39713 2152 20 ago ago RB 39713 2152 21 , , , 39713 2152 22 we -PRON- PRP 39713 2152 23 have have VBP 39713 2152 24 not not RB 39713 2152 25 always always RB 39713 2152 26 taken take VBN 39713 2152 27 the the DT 39713 2152 28 predicted predict VBN 39713 2152 29 way way NN 39713 2152 30 ; ; : 39713 2152 31 but but CC 39713 2152 32 , , , 39713 2152 33 finally finally RB 39713 2152 34 , , , 39713 2152 35 we -PRON- PRP 39713 2152 36 have have VBP 39713 2152 37 gained gain VBN 39713 2152 38 ever ever RB 39713 2152 39 so so RB 39713 2152 40 much much JJ 39713 2152 41 ground ground NN 39713 2152 42 . . . 39713 2153 1 CHAPTER chapter NN 39713 2153 2 XI XI NNP 39713 2153 3 THE the DT 39713 2153 4 CALCULUS calculus NN 39713 2153 5 OF of IN 39713 2153 6 PROBABILITIES probability NNS 39713 2153 7 Doubtless doubtless VBP 39713 2153 8 it -PRON- PRP 39713 2153 9 will will MD 39713 2153 10 be be VB 39713 2153 11 astonishing astonishing JJ 39713 2153 12 to to TO 39713 2153 13 find find VB 39713 2153 14 here here RB 39713 2153 15 thoughts thought NNS 39713 2153 16 about about IN 39713 2153 17 the the DT 39713 2153 18 calculus calculus NN 39713 2153 19 of of IN 39713 2153 20 probabilities probability NNS 39713 2153 21 . . . 39713 2154 1 What what WP 39713 2154 2 has have VBZ 39713 2154 3 it -PRON- PRP 39713 2154 4 to to TO 39713 2154 5 do do VB 39713 2154 6 with with IN 39713 2154 7 the the DT 39713 2154 8 method method NN 39713 2154 9 of of IN 39713 2154 10 the the DT 39713 2154 11 physical physical JJ 39713 2154 12 sciences science NNS 39713 2154 13 ? ? . 39713 2155 1 And and CC 39713 2155 2 yet yet RB 39713 2155 3 the the DT 39713 2155 4 questions question NNS 39713 2155 5 I -PRON- PRP 39713 2155 6 shall shall MD 39713 2155 7 raise raise VB 39713 2155 8 without without IN 39713 2155 9 solving solve VBG 39713 2155 10 present present JJ 39713 2155 11 themselves -PRON- PRP 39713 2155 12 naturally naturally RB 39713 2155 13 to to IN 39713 2155 14 the the DT 39713 2155 15 philosopher philosopher NN 39713 2155 16 who who WP 39713 2155 17 is be VBZ 39713 2155 18 thinking think VBG 39713 2155 19 about about IN 39713 2155 20 physics physics NN 39713 2155 21 . . . 39713 2156 1 So so RB 39713 2156 2 far far RB 39713 2156 3 is be VBZ 39713 2156 4 this this DT 39713 2156 5 the the DT 39713 2156 6 case case NN 39713 2156 7 that that IN 39713 2156 8 in in IN 39713 2156 9 the the DT 39713 2156 10 two two CD 39713 2156 11 preceding precede VBG 39713 2156 12 chapters chapter NNS 39713 2156 13 I -PRON- PRP 39713 2156 14 have have VBP 39713 2156 15 often often RB 39713 2156 16 been be VBN 39713 2156 17 led lead VBN 39713 2156 18 to to TO 39713 2156 19 use use VB 39713 2156 20 the the DT 39713 2156 21 words word NNS 39713 2156 22 ' ' POS 39713 2156 23 probability probability NN 39713 2156 24 ' ' '' 39713 2156 25 and and CC 39713 2156 26 ' ' '' 39713 2156 27 chance chance NN 39713 2156 28 . . . 39713 2156 29 ' ' '' 39713 2157 1 ' ' `` 39713 2157 2 Predicted predict VBN 39713 2157 3 facts fact NNS 39713 2157 4 , , , 39713 2157 5 ' ' '' 39713 2157 6 as as IN 39713 2157 7 I -PRON- PRP 39713 2157 8 have have VBP 39713 2157 9 said say VBD 39713 2157 10 above above RB 39713 2157 11 , , , 39713 2157 12 ' ' '' 39713 2157 13 can can MD 39713 2157 14 only only RB 39713 2157 15 be be VB 39713 2157 16 probable probable JJ 39713 2157 17 . . . 39713 2157 18 ' ' '' 39713 2158 1 " " `` 39713 2158 2 However however RB 39713 2158 3 solidly solidly RB 39713 2158 4 founded found VBD 39713 2158 5 a a DT 39713 2158 6 prediction prediction NN 39713 2158 7 may may MD 39713 2158 8 seem seem VB 39713 2158 9 to to IN 39713 2158 10 us -PRON- PRP 39713 2158 11 to to TO 39713 2158 12 be be VB 39713 2158 13 , , , 39713 2158 14 we -PRON- PRP 39713 2158 15 are be VBP 39713 2158 16 never never RB 39713 2158 17 absolutely absolutely RB 39713 2158 18 sure sure JJ 39713 2158 19 that that IN 39713 2158 20 experiment experiment NN 39713 2158 21 will will MD 39713 2158 22 not not RB 39713 2158 23 prove prove VB 39713 2158 24 it -PRON- PRP 39713 2158 25 false false JJ 39713 2158 26 . . . 39713 2159 1 But but CC 39713 2159 2 the the DT 39713 2159 3 probability probability NN 39713 2159 4 is be VBZ 39713 2159 5 often often RB 39713 2159 6 so so RB 39713 2159 7 great great JJ 39713 2159 8 that that IN 39713 2159 9 practically practically RB 39713 2159 10 we -PRON- PRP 39713 2159 11 may may MD 39713 2159 12 be be VB 39713 2159 13 satisfied satisfied JJ 39713 2159 14 with with IN 39713 2159 15 it -PRON- PRP 39713 2159 16 . . . 39713 2159 17 " " '' 39713 2160 1 And and CC 39713 2160 2 a a DT 39713 2160 3 little little JJ 39713 2160 4 further far RBR 39713 2160 5 on on IN 39713 2160 6 I -PRON- PRP 39713 2160 7 have have VBP 39713 2160 8 added add VBN 39713 2160 9 : : : 39713 2160 10 " " `` 39713 2160 11 See see VB 39713 2160 12 what what WP 39713 2160 13 a a DT 39713 2160 14 rôle rôle RB 39713 2160 15 the the DT 39713 2160 16 belief belief NN 39713 2160 17 in in IN 39713 2160 18 simplicity simplicity NN 39713 2160 19 plays play VBZ 39713 2160 20 in in IN 39713 2160 21 our -PRON- PRP$ 39713 2160 22 generalizations generalization NNS 39713 2160 23 . . . 39713 2161 1 We -PRON- PRP 39713 2161 2 have have VBP 39713 2161 3 verified verify VBN 39713 2161 4 a a DT 39713 2161 5 simple simple JJ 39713 2161 6 law law NN 39713 2161 7 in in IN 39713 2161 8 a a DT 39713 2161 9 great great JJ 39713 2161 10 number number NN 39713 2161 11 of of IN 39713 2161 12 particular particular JJ 39713 2161 13 cases case NNS 39713 2161 14 ; ; : 39713 2161 15 we -PRON- PRP 39713 2161 16 refuse refuse VBP 39713 2161 17 to to TO 39713 2161 18 admit admit VB 39713 2161 19 that that IN 39713 2161 20 this this DT 39713 2161 21 coincidence coincidence NN 39713 2161 22 , , , 39713 2161 23 so so RB 39713 2161 24 often often RB 39713 2161 25 repeated repeat VBN 39713 2161 26 , , , 39713 2161 27 can can MD 39713 2161 28 be be VB 39713 2161 29 a a DT 39713 2161 30 mere mere JJ 39713 2161 31 effect effect NN 39713 2161 32 of of IN 39713 2161 33 chance chance NN 39713 2161 34 .... .... . 39713 2161 35 " " '' 39713 2161 36 Thus thus RB 39713 2161 37 in in IN 39713 2161 38 a a DT 39713 2161 39 multitude multitude NN 39713 2161 40 of of IN 39713 2161 41 circumstances circumstance NNS 39713 2161 42 the the DT 39713 2161 43 physicist physicist NN 39713 2161 44 is be VBZ 39713 2161 45 in in IN 39713 2161 46 the the DT 39713 2161 47 same same JJ 39713 2161 48 position position NN 39713 2161 49 as as IN 39713 2161 50 the the DT 39713 2161 51 gambler gambler NN 39713 2161 52 who who WP 39713 2161 53 reckons reckon VBZ 39713 2161 54 up up RP 39713 2161 55 his -PRON- PRP$ 39713 2161 56 chances chance NNS 39713 2161 57 . . . 39713 2162 1 As as RB 39713 2162 2 often often RB 39713 2162 3 as as IN 39713 2162 4 he -PRON- PRP 39713 2162 5 reasons reason VBZ 39713 2162 6 by by IN 39713 2162 7 induction induction NN 39713 2162 8 , , , 39713 2162 9 he -PRON- PRP 39713 2162 10 requires require VBZ 39713 2162 11 more more RBR 39713 2162 12 or or CC 39713 2162 13 less less RBR 39713 2162 14 consciously consciously RB 39713 2162 15 the the DT 39713 2162 16 calculus calculus NN 39713 2162 17 of of IN 39713 2162 18 probabilities probability NNS 39713 2162 19 , , , 39713 2162 20 and and CC 39713 2162 21 this this DT 39713 2162 22 is be VBZ 39713 2162 23 why why WRB 39713 2162 24 I -PRON- PRP 39713 2162 25 am be VBP 39713 2162 26 obliged oblige VBN 39713 2162 27 to to TO 39713 2162 28 introduce introduce VB 39713 2162 29 a a DT 39713 2162 30 parenthesis parenthesis NN 39713 2162 31 , , , 39713 2162 32 and and CC 39713 2162 33 interrupt interrupt VB 39713 2162 34 our -PRON- PRP$ 39713 2162 35 study study NN 39713 2162 36 of of IN 39713 2162 37 method method NN 39713 2162 38 in in IN 39713 2162 39 the the DT 39713 2162 40 physical physical JJ 39713 2162 41 sciences science NNS 39713 2162 42 in in IN 39713 2162 43 order order NN 39713 2162 44 to to TO 39713 2162 45 examine examine VB 39713 2162 46 a a DT 39713 2162 47 little little RB 39713 2162 48 more more RBR 39713 2162 49 closely closely RB 39713 2162 50 the the DT 39713 2162 51 value value NN 39713 2162 52 of of IN 39713 2162 53 this this DT 39713 2162 54 calculus calculus NN 39713 2162 55 , , , 39713 2162 56 and and CC 39713 2162 57 what what WDT 39713 2162 58 confidence confidence NN 39713 2162 59 it -PRON- PRP 39713 2162 60 merits merit VBZ 39713 2162 61 . . . 39713 2163 1 The the DT 39713 2163 2 very very JJ 39713 2163 3 name name NN 39713 2163 4 calculus calculus NN 39713 2163 5 of of IN 39713 2163 6 probabilities probability NNS 39713 2163 7 is be VBZ 39713 2163 8 a a DT 39713 2163 9 paradox paradox NN 39713 2163 10 . . . 39713 2164 1 Probability probability NN 39713 2164 2 opposed oppose VBD 39713 2164 3 to to IN 39713 2164 4 certainty certainty VB 39713 2164 5 is be VBZ 39713 2164 6 what what WP 39713 2164 7 we -PRON- PRP 39713 2164 8 do do VBP 39713 2164 9 not not RB 39713 2164 10 know know VB 39713 2164 11 , , , 39713 2164 12 and and CC 39713 2164 13 how how WRB 39713 2164 14 can can MD 39713 2164 15 we -PRON- PRP 39713 2164 16 calculate calculate VB 39713 2164 17 what what WP 39713 2164 18 we -PRON- PRP 39713 2164 19 do do VBP 39713 2164 20 not not RB 39713 2164 21 know know VB 39713 2164 22 ? ? . 39713 2165 1 Yet yet RB 39713 2165 2 many many JJ 39713 2165 3 eminent eminent JJ 39713 2165 4 savants savant NNS 39713 2165 5 have have VBP 39713 2165 6 occupied occupy VBN 39713 2165 7 themselves -PRON- PRP 39713 2165 8 with with IN 39713 2165 9 this this DT 39713 2165 10 calculus calculus NN 39713 2165 11 , , , 39713 2165 12 and and CC 39713 2165 13 it -PRON- PRP 39713 2165 14 can can MD 39713 2165 15 not not RB 39713 2165 16 be be VB 39713 2165 17 denied deny VBN 39713 2165 18 that that IN 39713 2165 19 science science NN 39713 2165 20 has have VBZ 39713 2165 21 drawn draw VBN 39713 2165 22 therefrom therefrom JJ 39713 2165 23 no no DT 39713 2165 24 small small JJ 39713 2165 25 advantage advantage NN 39713 2165 26 . . . 39713 2166 1 How how WRB 39713 2166 2 can can MD 39713 2166 3 we -PRON- PRP 39713 2166 4 explain explain VB 39713 2166 5 this this DT 39713 2166 6 apparent apparent JJ 39713 2166 7 contradiction contradiction NN 39713 2166 8 ? ? . 39713 2167 1 Has have VBZ 39713 2167 2 probability probability NN 39713 2167 3 been be VBN 39713 2167 4 defined define VBN 39713 2167 5 ? ? . 39713 2168 1 Can Can MD 39713 2168 2 it -PRON- PRP 39713 2168 3 even even RB 39713 2168 4 be be VB 39713 2168 5 defined define VBN 39713 2168 6 ? ? . 39713 2169 1 And and CC 39713 2169 2 if if IN 39713 2169 3 it -PRON- PRP 39713 2169 4 can can MD 39713 2169 5 not not RB 39713 2169 6 , , , 39713 2169 7 how how WRB 39713 2169 8 dare dare VBP 39713 2169 9 we -PRON- PRP 39713 2169 10 reason reason VB 39713 2169 11 about about IN 39713 2169 12 it -PRON- PRP 39713 2169 13 ? ? . 39713 2170 1 The the DT 39713 2170 2 definition definition NN 39713 2170 3 , , , 39713 2170 4 it -PRON- PRP 39713 2170 5 will will MD 39713 2170 6 be be VB 39713 2170 7 said say VBN 39713 2170 8 , , , 39713 2170 9 is be VBZ 39713 2170 10 very very RB 39713 2170 11 simple simple JJ 39713 2170 12 : : : 39713 2170 13 the the DT 39713 2170 14 probability probability NN 39713 2170 15 of of IN 39713 2170 16 an an DT 39713 2170 17 event event NN 39713 2170 18 is be VBZ 39713 2170 19 the the DT 39713 2170 20 ratio ratio NN 39713 2170 21 of of IN 39713 2170 22 the the DT 39713 2170 23 number number NN 39713 2170 24 of of IN 39713 2170 25 cases case NNS 39713 2170 26 favorable favorable JJ 39713 2170 27 to to IN 39713 2170 28 this this DT 39713 2170 29 event event NN 39713 2170 30 to to IN 39713 2170 31 the the DT 39713 2170 32 total total JJ 39713 2170 33 number number NN 39713 2170 34 of of IN 39713 2170 35 possible possible JJ 39713 2170 36 cases case NNS 39713 2170 37 . . . 39713 2171 1 A a DT 39713 2171 2 simple simple JJ 39713 2171 3 example example NN 39713 2171 4 will will MD 39713 2171 5 show show VB 39713 2171 6 how how WRB 39713 2171 7 incomplete incomplete JJ 39713 2171 8 this this DT 39713 2171 9 definition definition NN 39713 2171 10 is be VBZ 39713 2171 11 . . . 39713 2172 1 I -PRON- PRP 39713 2172 2 throw throw VBP 39713 2172 3 two two CD 39713 2172 4 dice dice NNS 39713 2172 5 . . . 39713 2173 1 What what WP 39713 2173 2 is be VBZ 39713 2173 3 the the DT 39713 2173 4 probability probability NN 39713 2173 5 that that IN 39713 2173 6 one one CD 39713 2173 7 of of IN 39713 2173 8 the the DT 39713 2173 9 two two CD 39713 2173 10 at at IN 39713 2173 11 least least JJS 39713 2173 12 turns turn VBZ 39713 2173 13 up up RP 39713 2173 14 a a DT 39713 2173 15 six six CD 39713 2173 16 ? ? . 39713 2174 1 Each each DT 39713 2174 2 die die NN 39713 2174 3 can can MD 39713 2174 4 turn turn VB 39713 2174 5 up up RP 39713 2174 6 in in IN 39713 2174 7 six six CD 39713 2174 8 different different JJ 39713 2174 9 ways way NNS 39713 2174 10 ; ; : 39713 2174 11 the the DT 39713 2174 12 number number NN 39713 2174 13 of of IN 39713 2174 14 possible possible JJ 39713 2174 15 cases case NNS 39713 2174 16 is be VBZ 39713 2174 17 6 6 CD 39713 2174 18 × × CD 39713 2174 19 6 6 CD 39713 2174 20 = = SYM 39713 2174 21 36 36 CD 39713 2174 22 ; ; : 39713 2174 23 the the DT 39713 2174 24 number number NN 39713 2174 25 of of IN 39713 2174 26 favorable favorable JJ 39713 2174 27 cases case NNS 39713 2174 28 is be VBZ 39713 2174 29 11 11 CD 39713 2174 30 ; ; : 39713 2174 31 the the DT 39713 2174 32 probability probability NN 39713 2174 33 is be VBZ 39713 2174 34 11/36 11/36 CD 39713 2174 35 . . . 39713 2175 1 That that DT 39713 2175 2 is be VBZ 39713 2175 3 the the DT 39713 2175 4 correct correct JJ 39713 2175 5 solution solution NN 39713 2175 6 . . . 39713 2176 1 But but CC 39713 2176 2 could could MD 39713 2176 3 I -PRON- PRP 39713 2176 4 not not RB 39713 2176 5 just just RB 39713 2176 6 as as RB 39713 2176 7 well well RB 39713 2176 8 say say VB 39713 2176 9 : : : 39713 2176 10 The the DT 39713 2176 11 points point NNS 39713 2176 12 which which WDT 39713 2176 13 turn turn VBP 39713 2176 14 up up RP 39713 2176 15 on on IN 39713 2176 16 the the DT 39713 2176 17 two two CD 39713 2176 18 dice dice NNS 39713 2176 19 can can MD 39713 2176 20 form form VB 39713 2176 21 6 6 CD 39713 2176 22 × × CD 39713 2176 23 7/2 7/2 CD 39713 2176 24 = = SYM 39713 2176 25 21 21 CD 39713 2176 26 different different JJ 39713 2176 27 combinations combination NNS 39713 2176 28 ? ? . 39713 2177 1 Among among IN 39713 2177 2 these these DT 39713 2177 3 combinations combination NNS 39713 2177 4 6 6 CD 39713 2177 5 are be VBP 39713 2177 6 favorable favorable JJ 39713 2177 7 ; ; : 39713 2177 8 the the DT 39713 2177 9 probability probability NN 39713 2177 10 is be VBZ 39713 2177 11 6/21 6/21 CD 39713 2177 12 . . . 39713 2178 1 Now now RB 39713 2178 2 why why WRB 39713 2178 3 is be VBZ 39713 2178 4 the the DT 39713 2178 5 first first JJ 39713 2178 6 method method NN 39713 2178 7 of of IN 39713 2178 8 enumerating enumerate VBG 39713 2178 9 the the DT 39713 2178 10 possible possible JJ 39713 2178 11 cases case NNS 39713 2178 12 more more RBR 39713 2178 13 legitimate legitimate JJ 39713 2178 14 than than IN 39713 2178 15 the the DT 39713 2178 16 second second JJ 39713 2178 17 ? ? . 39713 2179 1 In in IN 39713 2179 2 any any DT 39713 2179 3 case case NN 39713 2179 4 it -PRON- PRP 39713 2179 5 is be VBZ 39713 2179 6 not not RB 39713 2179 7 our -PRON- PRP$ 39713 2179 8 definition definition NN 39713 2179 9 that that WDT 39713 2179 10 tells tell VBZ 39713 2179 11 us -PRON- PRP 39713 2179 12 . . . 39713 2180 1 We -PRON- PRP 39713 2180 2 are be VBP 39713 2180 3 therefore therefore RB 39713 2180 4 obliged oblige VBN 39713 2180 5 to to TO 39713 2180 6 complete complete VB 39713 2180 7 this this DT 39713 2180 8 definition definition NN 39713 2180 9 by by IN 39713 2180 10 saying say VBG 39713 2180 11 : : : 39713 2180 12 ' ' `` 39713 2180 13 ... ... : 39713 2180 14 to to IN 39713 2180 15 the the DT 39713 2180 16 total total JJ 39713 2180 17 number number NN 39713 2180 18 of of IN 39713 2180 19 possible possible JJ 39713 2180 20 cases case NNS 39713 2180 21 provided provide VBD 39713 2180 22 these these DT 39713 2180 23 cases case NNS 39713 2180 24 are be VBP 39713 2180 25 equally equally RB 39713 2180 26 probable probable JJ 39713 2180 27 . . . 39713 2180 28 ' ' '' 39713 2181 1 So so RB 39713 2181 2 , , , 39713 2181 3 therefore therefore RB 39713 2181 4 , , , 39713 2181 5 we -PRON- PRP 39713 2181 6 are be VBP 39713 2181 7 reduced reduce VBN 39713 2181 8 to to IN 39713 2181 9 defining define VBG 39713 2181 10 the the DT 39713 2181 11 probable probable JJ 39713 2181 12 by by IN 39713 2181 13 the the DT 39713 2181 14 probable probable JJ 39713 2181 15 . . . 39713 2182 1 How how WRB 39713 2182 2 can can MD 39713 2182 3 we -PRON- PRP 39713 2182 4 know know VB 39713 2182 5 that that IN 39713 2182 6 two two CD 39713 2182 7 possible possible JJ 39713 2182 8 cases case NNS 39713 2182 9 are be VBP 39713 2182 10 equally equally RB 39713 2182 11 probable probable JJ 39713 2182 12 ? ? . 39713 2183 1 Will Will MD 39713 2183 2 it -PRON- PRP 39713 2183 3 be be VB 39713 2183 4 by by IN 39713 2183 5 a a DT 39713 2183 6 convention convention NN 39713 2183 7 ? ? . 39713 2184 1 If if IN 39713 2184 2 we -PRON- PRP 39713 2184 3 place place VBP 39713 2184 4 at at IN 39713 2184 5 the the DT 39713 2184 6 beginning beginning NN 39713 2184 7 of of IN 39713 2184 8 each each DT 39713 2184 9 problem problem NN 39713 2184 10 an an DT 39713 2184 11 explicit explicit JJ 39713 2184 12 convention convention NN 39713 2184 13 , , , 39713 2184 14 well well UH 39713 2184 15 and and CC 39713 2184 16 good good NN 39713 2184 17 . . . 39713 2185 1 We -PRON- PRP 39713 2185 2 shall shall MD 39713 2185 3 then then RB 39713 2185 4 have have VB 39713 2185 5 nothing nothing NN 39713 2185 6 to to TO 39713 2185 7 do do VB 39713 2185 8 but but CC 39713 2185 9 apply apply VB 39713 2185 10 the the DT 39713 2185 11 rules rule NNS 39713 2185 12 of of IN 39713 2185 13 arithmetic arithmetic JJ 39713 2185 14 and and CC 39713 2185 15 of of IN 39713 2185 16 algebra algebra NN 39713 2185 17 , , , 39713 2185 18 and and CC 39713 2185 19 we -PRON- PRP 39713 2185 20 shall shall MD 39713 2185 21 complete complete VB 39713 2185 22 our -PRON- PRP$ 39713 2185 23 calculation calculation NN 39713 2185 24 without without IN 39713 2185 25 our -PRON- PRP$ 39713 2185 26 result result NN 39713 2185 27 leaving leave VBG 39713 2185 28 room room NN 39713 2185 29 for for IN 39713 2185 30 doubt doubt NN 39713 2185 31 . . . 39713 2186 1 But but CC 39713 2186 2 if if IN 39713 2186 3 we -PRON- PRP 39713 2186 4 wish wish VBP 39713 2186 5 to to TO 39713 2186 6 make make VB 39713 2186 7 the the DT 39713 2186 8 slightest slight JJS 39713 2186 9 application application NN 39713 2186 10 of of IN 39713 2186 11 this this DT 39713 2186 12 result result NN 39713 2186 13 , , , 39713 2186 14 we -PRON- PRP 39713 2186 15 must must MD 39713 2186 16 prove prove VB 39713 2186 17 our -PRON- PRP$ 39713 2186 18 convention convention NN 39713 2186 19 was be VBD 39713 2186 20 legitimate legitimate JJ 39713 2186 21 , , , 39713 2186 22 and and CC 39713 2186 23 we -PRON- PRP 39713 2186 24 shall shall MD 39713 2186 25 find find VB 39713 2186 26 ourselves -PRON- PRP 39713 2186 27 in in IN 39713 2186 28 the the DT 39713 2186 29 presence presence NN 39713 2186 30 of of IN 39713 2186 31 the the DT 39713 2186 32 very very JJ 39713 2186 33 difficulty difficulty NN 39713 2186 34 we -PRON- PRP 39713 2186 35 thought think VBD 39713 2186 36 to to TO 39713 2186 37 escape escape VB 39713 2186 38 . . . 39713 2187 1 Will Will MD 39713 2187 2 it -PRON- PRP 39713 2187 3 be be VB 39713 2187 4 said say VBN 39713 2187 5 that that IN 39713 2187 6 good good JJ 39713 2187 7 sense sense NN 39713 2187 8 suffices suffice VBZ 39713 2187 9 to to TO 39713 2187 10 show show VB 39713 2187 11 us -PRON- PRP 39713 2187 12 what what WDT 39713 2187 13 convention convention NN 39713 2187 14 should should MD 39713 2187 15 be be VB 39713 2187 16 adopted adopt VBN 39713 2187 17 ? ? . 39713 2188 1 Alas alas UH 39713 2188 2 ! ! . 39713 2189 1 M. M. NNP 39713 2189 2 Bertrand Bertrand NNP 39713 2189 3 has have VBZ 39713 2189 4 amused amuse VBN 39713 2189 5 himself -PRON- PRP 39713 2189 6 by by IN 39713 2189 7 discussing discuss VBG 39713 2189 8 the the DT 39713 2189 9 following follow VBG 39713 2189 10 simple simple JJ 39713 2189 11 problem problem NN 39713 2189 12 : : : 39713 2189 13 " " `` 39713 2189 14 What what WP 39713 2189 15 is be VBZ 39713 2189 16 the the DT 39713 2189 17 probability probability NN 39713 2189 18 that that IN 39713 2189 19 a a DT 39713 2189 20 chord chord NN 39713 2189 21 of of IN 39713 2189 22 a a DT 39713 2189 23 circle circle NN 39713 2189 24 may may MD 39713 2189 25 be be VB 39713 2189 26 greater great JJR 39713 2189 27 than than IN 39713 2189 28 the the DT 39713 2189 29 side side NN 39713 2189 30 of of IN 39713 2189 31 the the DT 39713 2189 32 inscribed inscribe VBN 39713 2189 33 equilateral equilateral JJ 39713 2189 34 triangle triangle NN 39713 2189 35 ? ? . 39713 2189 36 " " '' 39713 2190 1 The the DT 39713 2190 2 illustrious illustrious JJ 39713 2190 3 geometer geometer NN 39713 2190 4 successively successively RB 39713 2190 5 adopted adopt VBD 39713 2190 6 two two CD 39713 2190 7 conventions convention NNS 39713 2190 8 which which WDT 39713 2190 9 good good JJ 39713 2190 10 sense sense NN 39713 2190 11 seemed seem VBD 39713 2190 12 equally equally RB 39713 2190 13 to to TO 39713 2190 14 dictate dictate VB 39713 2190 15 and and CC 39713 2190 16 with with IN 39713 2190 17 one one CD 39713 2190 18 he -PRON- PRP 39713 2190 19 found find VBD 39713 2190 20 1/2 1/2 CD 39713 2190 21 , , , 39713 2190 22 with with IN 39713 2190 23 the the DT 39713 2190 24 other other JJ 39713 2190 25 1/3 1/3 CD 39713 2190 26 . . . 39713 2191 1 The the DT 39713 2191 2 conclusion conclusion NN 39713 2191 3 which which WDT 39713 2191 4 seems seem VBZ 39713 2191 5 to to TO 39713 2191 6 follow follow VB 39713 2191 7 from from IN 39713 2191 8 all all PDT 39713 2191 9 this this DT 39713 2191 10 is be VBZ 39713 2191 11 that that IN 39713 2191 12 the the DT 39713 2191 13 calculus calculus NN 39713 2191 14 of of IN 39713 2191 15 probabilities probability NNS 39713 2191 16 is be VBZ 39713 2191 17 a a DT 39713 2191 18 useless useless JJ 39713 2191 19 science science NN 39713 2191 20 , , , 39713 2191 21 and and CC 39713 2191 22 that that IN 39713 2191 23 the the DT 39713 2191 24 obscure obscure JJ 39713 2191 25 instinct instinct NN 39713 2191 26 which which WDT 39713 2191 27 we -PRON- PRP 39713 2191 28 may may MD 39713 2191 29 call call VB 39713 2191 30 good good JJ 39713 2191 31 sense sense NN 39713 2191 32 , , , 39713 2191 33 and and CC 39713 2191 34 to to TO 39713 2191 35 which which WDT 39713 2191 36 we -PRON- PRP 39713 2191 37 are be VBP 39713 2191 38 wo will MD 39713 2191 39 nt not RB 39713 2191 40 to to TO 39713 2191 41 appeal appeal VB 39713 2191 42 to to TO 39713 2191 43 legitimatize legitimatize VB 39713 2191 44 our -PRON- PRP$ 39713 2191 45 conventions convention NNS 39713 2191 46 , , , 39713 2191 47 must must MD 39713 2191 48 be be VB 39713 2191 49 distrusted distrust VBN 39713 2191 50 . . . 39713 2192 1 But but CC 39713 2192 2 neither neither DT 39713 2192 3 can can MD 39713 2192 4 we -PRON- PRP 39713 2192 5 subscribe subscribe VB 39713 2192 6 to to IN 39713 2192 7 this this DT 39713 2192 8 conclusion conclusion NN 39713 2192 9 ; ; : 39713 2192 10 we -PRON- PRP 39713 2192 11 can can MD 39713 2192 12 not not RB 39713 2192 13 do do VB 39713 2192 14 without without IN 39713 2192 15 this this DT 39713 2192 16 obscure obscure JJ 39713 2192 17 instinct instinct NN 39713 2192 18 . . . 39713 2193 1 Without without IN 39713 2193 2 it -PRON- PRP 39713 2193 3 science science NN 39713 2193 4 would would MD 39713 2193 5 be be VB 39713 2193 6 impossible impossible JJ 39713 2193 7 , , , 39713 2193 8 without without IN 39713 2193 9 it -PRON- PRP 39713 2193 10 we -PRON- PRP 39713 2193 11 could could MD 39713 2193 12 neither neither CC 39713 2193 13 discover discover VB 39713 2193 14 a a DT 39713 2193 15 law law NN 39713 2193 16 nor nor CC 39713 2193 17 apply apply VB 39713 2193 18 it -PRON- PRP 39713 2193 19 . . . 39713 2194 1 Have have VBP 39713 2194 2 we -PRON- PRP 39713 2194 3 the the DT 39713 2194 4 right right NN 39713 2194 5 , , , 39713 2194 6 for for IN 39713 2194 7 instance instance NN 39713 2194 8 , , , 39713 2194 9 to to TO 39713 2194 10 enunciate enunciate VB 39713 2194 11 Newton Newton NNP 39713 2194 12 's 's POS 39713 2194 13 law law NN 39713 2194 14 ? ? . 39713 2195 1 Without without IN 39713 2195 2 doubt doubt NN 39713 2195 3 , , , 39713 2195 4 numerous numerous JJ 39713 2195 5 observations observation NNS 39713 2195 6 are be VBP 39713 2195 7 in in IN 39713 2195 8 accord accord NN 39713 2195 9 with with IN 39713 2195 10 it -PRON- PRP 39713 2195 11 ; ; : 39713 2195 12 but but CC 39713 2195 13 is be VBZ 39713 2195 14 not not RB 39713 2195 15 this this DT 39713 2195 16 a a DT 39713 2195 17 simple simple JJ 39713 2195 18 effect effect NN 39713 2195 19 of of IN 39713 2195 20 chance chance NN 39713 2195 21 ? ? . 39713 2196 1 Besides besides IN 39713 2196 2 how how WRB 39713 2196 3 do do VBP 39713 2196 4 we -PRON- PRP 39713 2196 5 know know VB 39713 2196 6 whether whether IN 39713 2196 7 this this DT 39713 2196 8 law law NN 39713 2196 9 , , , 39713 2196 10 true true JJ 39713 2196 11 for for IN 39713 2196 12 so so RB 39713 2196 13 many many JJ 39713 2196 14 centuries century NNS 39713 2196 15 , , , 39713 2196 16 will will MD 39713 2196 17 still still RB 39713 2196 18 be be VB 39713 2196 19 true true JJ 39713 2196 20 next next JJ 39713 2196 21 year year NN 39713 2196 22 ? ? . 39713 2197 1 To to IN 39713 2197 2 this this DT 39713 2197 3 objection objection NN 39713 2197 4 , , , 39713 2197 5 you -PRON- PRP 39713 2197 6 will will MD 39713 2197 7 find find VB 39713 2197 8 nothing nothing NN 39713 2197 9 to to TO 39713 2197 10 reply reply VB 39713 2197 11 , , , 39713 2197 12 except except IN 39713 2197 13 : : : 39713 2197 14 ' ' `` 39713 2197 15 That that DT 39713 2197 16 is be VBZ 39713 2197 17 very very RB 39713 2197 18 improbable improbable JJ 39713 2197 19 . . . 39713 2197 20 ' ' '' 39713 2198 1 But but CC 39713 2198 2 grant grant VB 39713 2198 3 the the DT 39713 2198 4 law law NN 39713 2198 5 . . . 39713 2199 1 Thanks thank NNS 39713 2199 2 to to IN 39713 2199 3 it -PRON- PRP 39713 2199 4 , , , 39713 2199 5 I -PRON- PRP 39713 2199 6 believe believe VBP 39713 2199 7 myself -PRON- PRP 39713 2199 8 able able JJ 39713 2199 9 to to TO 39713 2199 10 calculate calculate VB 39713 2199 11 the the DT 39713 2199 12 position position NN 39713 2199 13 of of IN 39713 2199 14 Jupiter Jupiter NNP 39713 2199 15 a a DT 39713 2199 16 year year NN 39713 2199 17 from from IN 39713 2199 18 now now RB 39713 2199 19 . . . 39713 2200 1 Have have VBP 39713 2200 2 I -PRON- PRP 39713 2200 3 the the DT 39713 2200 4 right right NN 39713 2200 5 to to TO 39713 2200 6 believe believe VB 39713 2200 7 this this DT 39713 2200 8 ? ? . 39713 2201 1 Who who WP 39713 2201 2 can can MD 39713 2201 3 tell tell VB 39713 2201 4 if if IN 39713 2201 5 a a DT 39713 2201 6 gigantic gigantic JJ 39713 2201 7 mass mass NN 39713 2201 8 of of IN 39713 2201 9 enormous enormous JJ 39713 2201 10 velocity velocity NN 39713 2201 11 will will MD 39713 2201 12 not not RB 39713 2201 13 between between IN 39713 2201 14 now now RB 39713 2201 15 and and CC 39713 2201 16 that that IN 39713 2201 17 time time NN 39713 2201 18 pass pass VB 39713 2201 19 near near IN 39713 2201 20 the the DT 39713 2201 21 solar solar JJ 39713 2201 22 system system NN 39713 2201 23 , , , 39713 2201 24 and and CC 39713 2201 25 produce produce VB 39713 2201 26 unforeseen unforeseen JJ 39713 2201 27 perturbations perturbation NNS 39713 2201 28 ? ? . 39713 2202 1 Here here RB 39713 2202 2 again again RB 39713 2202 3 the the DT 39713 2202 4 only only JJ 39713 2202 5 answer answer NN 39713 2202 6 is be VBZ 39713 2202 7 : : : 39713 2202 8 ' ' `` 39713 2202 9 It -PRON- PRP 39713 2202 10 is be VBZ 39713 2202 11 very very RB 39713 2202 12 improbable improbable JJ 39713 2202 13 . . . 39713 2202 14 ' ' '' 39713 2203 1 From from IN 39713 2203 2 this this DT 39713 2203 3 point point NN 39713 2203 4 of of IN 39713 2203 5 view view NN 39713 2203 6 , , , 39713 2203 7 all all PDT 39713 2203 8 the the DT 39713 2203 9 sciences science NNS 39713 2203 10 would would MD 39713 2203 11 be be VB 39713 2203 12 only only RB 39713 2203 13 unconscious unconscious JJ 39713 2203 14 applications application NNS 39713 2203 15 of of IN 39713 2203 16 the the DT 39713 2203 17 calculus calculus NN 39713 2203 18 of of IN 39713 2203 19 probabilities probability NNS 39713 2203 20 . . . 39713 2204 1 To to TO 39713 2204 2 condemn condemn VB 39713 2204 3 this this DT 39713 2204 4 calculus calculus NN 39713 2204 5 would would MD 39713 2204 6 be be VB 39713 2204 7 to to TO 39713 2204 8 condemn condemn VB 39713 2204 9 the the DT 39713 2204 10 whole whole NN 39713 2204 11 of of IN 39713 2204 12 science science NN 39713 2204 13 . . . 39713 2205 1 I -PRON- PRP 39713 2205 2 shall shall MD 39713 2205 3 dwell dwell VB 39713 2205 4 lightly lightly RB 39713 2205 5 on on IN 39713 2205 6 the the DT 39713 2205 7 scientific scientific JJ 39713 2205 8 problems problem NNS 39713 2205 9 in in IN 39713 2205 10 which which WDT 39713 2205 11 the the DT 39713 2205 12 intervention intervention NN 39713 2205 13 of of IN 39713 2205 14 the the DT 39713 2205 15 calculus calculus NN 39713 2205 16 of of IN 39713 2205 17 probabilities probability NNS 39713 2205 18 is be VBZ 39713 2205 19 more more RBR 39713 2205 20 evident evident JJ 39713 2205 21 . . . 39713 2206 1 In in IN 39713 2206 2 the the DT 39713 2206 3 forefront forefront NN 39713 2206 4 of of IN 39713 2206 5 these these DT 39713 2206 6 is be VBZ 39713 2206 7 the the DT 39713 2206 8 problem problem NN 39713 2206 9 of of IN 39713 2206 10 interpolation interpolation NN 39713 2206 11 , , , 39713 2206 12 in in IN 39713 2206 13 which which WDT 39713 2206 14 , , , 39713 2206 15 knowing know VBG 39713 2206 16 a a DT 39713 2206 17 certain certain JJ 39713 2206 18 number number NN 39713 2206 19 of of IN 39713 2206 20 values value NNS 39713 2206 21 of of IN 39713 2206 22 a a DT 39713 2206 23 function function NN 39713 2206 24 , , , 39713 2206 25 we -PRON- PRP 39713 2206 26 seek seek VBP 39713 2206 27 to to TO 39713 2206 28 divine divine VB 39713 2206 29 the the DT 39713 2206 30 intermediate intermediate JJ 39713 2206 31 values value NNS 39713 2206 32 . . . 39713 2207 1 I -PRON- PRP 39713 2207 2 shall shall MD 39713 2207 3 likewise likewise RB 39713 2207 4 mention mention VB 39713 2207 5 : : : 39713 2207 6 the the DT 39713 2207 7 celebrated celebrated JJ 39713 2207 8 theory theory NN 39713 2207 9 of of IN 39713 2207 10 errors error NNS 39713 2207 11 of of IN 39713 2207 12 observation observation NN 39713 2207 13 , , , 39713 2207 14 to to TO 39713 2207 15 which which WDT 39713 2207 16 I -PRON- PRP 39713 2207 17 shall shall MD 39713 2207 18 return return VB 39713 2207 19 later later RB 39713 2207 20 ; ; : 39713 2207 21 the the DT 39713 2207 22 kinetic kinetic JJ 39713 2207 23 theory theory NN 39713 2207 24 of of IN 39713 2207 25 gases gas NNS 39713 2207 26 , , , 39713 2207 27 a a DT 39713 2207 28 well well RB 39713 2207 29 - - HYPH 39713 2207 30 known know VBN 39713 2207 31 hypothesis hypothesis NN 39713 2207 32 , , , 39713 2207 33 wherein wherein WRB 39713 2207 34 each each DT 39713 2207 35 gaseous gaseous JJ 39713 2207 36 molecule molecule NN 39713 2207 37 is be VBZ 39713 2207 38 supposed suppose VBN 39713 2207 39 to to TO 39713 2207 40 describe describe VB 39713 2207 41 an an DT 39713 2207 42 extremely extremely RB 39713 2207 43 complicated complicated JJ 39713 2207 44 trajectory trajectory NN 39713 2207 45 , , , 39713 2207 46 but but CC 39713 2207 47 in in IN 39713 2207 48 which which WDT 39713 2207 49 , , , 39713 2207 50 through through IN 39713 2207 51 the the DT 39713 2207 52 effect effect NN 39713 2207 53 of of IN 39713 2207 54 great great JJ 39713 2207 55 numbers number NNS 39713 2207 56 , , , 39713 2207 57 the the DT 39713 2207 58 mean mean JJ 39713 2207 59 phenomena phenomena NNP 39713 2207 60 , , , 39713 2207 61 alone alone RB 39713 2207 62 observable observable JJ 39713 2207 63 , , , 39713 2207 64 obey obey VBP 39713 2207 65 the the DT 39713 2207 66 simple simple JJ 39713 2207 67 laws law NNS 39713 2207 68 of of IN 39713 2207 69 Mariotte Mariotte NNP 39713 2207 70 and and CC 39713 2207 71 Gay Gay NNP 39713 2207 72 - - HYPH 39713 2207 73 Lussac Lussac NNP 39713 2207 74 . . . 39713 2208 1 All all PDT 39713 2208 2 these these DT 39713 2208 3 theories theory NNS 39713 2208 4 are be VBP 39713 2208 5 based base VBN 39713 2208 6 on on IN 39713 2208 7 the the DT 39713 2208 8 laws law NNS 39713 2208 9 of of IN 39713 2208 10 great great JJ 39713 2208 11 numbers number NNS 39713 2208 12 , , , 39713 2208 13 and and CC 39713 2208 14 the the DT 39713 2208 15 calculus calculus NN 39713 2208 16 of of IN 39713 2208 17 probabilities probability NNS 39713 2208 18 would would MD 39713 2208 19 evidently evidently RB 39713 2208 20 involve involve VB 39713 2208 21 them -PRON- PRP 39713 2208 22 in in IN 39713 2208 23 its -PRON- PRP$ 39713 2208 24 ruin ruin NN 39713 2208 25 . . . 39713 2209 1 It -PRON- PRP 39713 2209 2 is be VBZ 39713 2209 3 true true JJ 39713 2209 4 that that IN 39713 2209 5 they -PRON- PRP 39713 2209 6 have have VBP 39713 2209 7 only only RB 39713 2209 8 a a DT 39713 2209 9 particular particular JJ 39713 2209 10 interest interest NN 39713 2209 11 and and CC 39713 2209 12 that that IN 39713 2209 13 , , , 39713 2209 14 save save VB 39713 2209 15 as as RB 39713 2209 16 far far RB 39713 2209 17 as as IN 39713 2209 18 interpolation interpolation NN 39713 2209 19 is be VBZ 39713 2209 20 concerned concern VBN 39713 2209 21 , , , 39713 2209 22 these these DT 39713 2209 23 are be VBP 39713 2209 24 sacrifices sacrifice NNS 39713 2209 25 to to TO 39713 2209 26 which which WDT 39713 2209 27 we -PRON- PRP 39713 2209 28 might may MD 39713 2209 29 readily readily RB 39713 2209 30 be be VB 39713 2209 31 resigned resign VBN 39713 2209 32 . . . 39713 2210 1 But but CC 39713 2210 2 , , , 39713 2210 3 as as IN 39713 2210 4 I -PRON- PRP 39713 2210 5 have have VBP 39713 2210 6 said say VBD 39713 2210 7 above above RB 39713 2210 8 , , , 39713 2210 9 it -PRON- PRP 39713 2210 10 would would MD 39713 2210 11 not not RB 39713 2210 12 be be VB 39713 2210 13 only only RB 39713 2210 14 these these DT 39713 2210 15 partial partial JJ 39713 2210 16 sacrifices sacrifice NNS 39713 2210 17 that that WDT 39713 2210 18 would would MD 39713 2210 19 be be VB 39713 2210 20 in in IN 39713 2210 21 question question NN 39713 2210 22 ; ; : 39713 2210 23 it -PRON- PRP 39713 2210 24 would would MD 39713 2210 25 be be VB 39713 2210 26 the the DT 39713 2210 27 legitimacy legitimacy NN 39713 2210 28 of of IN 39713 2210 29 the the DT 39713 2210 30 whole whole NN 39713 2210 31 of of IN 39713 2210 32 science science NN 39713 2210 33 that that WDT 39713 2210 34 would would MD 39713 2210 35 be be VB 39713 2210 36 challenged challenge VBN 39713 2210 37 . . . 39713 2211 1 I -PRON- PRP 39713 2211 2 quite quite RB 39713 2211 3 see see VBP 39713 2211 4 that that IN 39713 2211 5 it -PRON- PRP 39713 2211 6 might may MD 39713 2211 7 be be VB 39713 2211 8 said say VBN 39713 2211 9 : : : 39713 2211 10 " " `` 39713 2211 11 We -PRON- PRP 39713 2211 12 are be VBP 39713 2211 13 ignorant ignorant JJ 39713 2211 14 , , , 39713 2211 15 and and CC 39713 2211 16 yet yet RB 39713 2211 17 we -PRON- PRP 39713 2211 18 must must MD 39713 2211 19 act act VB 39713 2211 20 . . . 39713 2212 1 For for IN 39713 2212 2 action action NN 39713 2212 3 , , , 39713 2212 4 we -PRON- PRP 39713 2212 5 have have VBP 39713 2212 6 not not RB 39713 2212 7 time time NN 39713 2212 8 to to TO 39713 2212 9 devote devote VB 39713 2212 10 ourselves -PRON- PRP 39713 2212 11 to to IN 39713 2212 12 an an DT 39713 2212 13 inquiry inquiry NN 39713 2212 14 sufficient sufficient JJ 39713 2212 15 to to TO 39713 2212 16 dispel dispel VB 39713 2212 17 our -PRON- PRP$ 39713 2212 18 ignorance ignorance NN 39713 2212 19 . . . 39713 2213 1 Besides besides RB 39713 2213 2 , , , 39713 2213 3 such such PDT 39713 2213 4 an an DT 39713 2213 5 inquiry inquiry NN 39713 2213 6 would would MD 39713 2213 7 demand demand VB 39713 2213 8 an an DT 39713 2213 9 infinite infinite JJ 39713 2213 10 time time NN 39713 2213 11 . . . 39713 2214 1 We -PRON- PRP 39713 2214 2 must must MD 39713 2214 3 therefore therefore RB 39713 2214 4 decide decide VB 39713 2214 5 without without IN 39713 2214 6 knowing know VBG 39713 2214 7 ; ; : 39713 2214 8 we -PRON- PRP 39713 2214 9 are be VBP 39713 2214 10 obliged oblige VBN 39713 2214 11 to to TO 39713 2214 12 do do VB 39713 2214 13 so so RB 39713 2214 14 , , , 39713 2214 15 hit hit VB 39713 2214 16 or or CC 39713 2214 17 miss miss VB 39713 2214 18 , , , 39713 2214 19 and and CC 39713 2214 20 we -PRON- PRP 39713 2214 21 must must MD 39713 2214 22 follow follow VB 39713 2214 23 rules rule NNS 39713 2214 24 without without IN 39713 2214 25 quite quite RB 39713 2214 26 believing believe VBG 39713 2214 27 them -PRON- PRP 39713 2214 28 . . . 39713 2215 1 What what WP 39713 2215 2 I -PRON- PRP 39713 2215 3 know know VBP 39713 2215 4 is be VBZ 39713 2215 5 not not RB 39713 2215 6 that that RB 39713 2215 7 such such JJ 39713 2215 8 and and CC 39713 2215 9 such such PDT 39713 2215 10 a a DT 39713 2215 11 thing thing NN 39713 2215 12 is be VBZ 39713 2215 13 true true JJ 39713 2215 14 , , , 39713 2215 15 but but CC 39713 2215 16 that that IN 39713 2215 17 the the DT 39713 2215 18 best good JJS 39713 2215 19 course course NN 39713 2215 20 for for IN 39713 2215 21 me -PRON- PRP 39713 2215 22 is be VBZ 39713 2215 23 to to TO 39713 2215 24 act act VB 39713 2215 25 as as IN 39713 2215 26 if if IN 39713 2215 27 it -PRON- PRP 39713 2215 28 were be VBD 39713 2215 29 true true JJ 39713 2215 30 . . . 39713 2215 31 " " '' 39713 2216 1 The the DT 39713 2216 2 calculus calculus NN 39713 2216 3 of of IN 39713 2216 4 probabilities probability NNS 39713 2216 5 , , , 39713 2216 6 and and CC 39713 2216 7 consequently consequently RB 39713 2216 8 science science VB 39713 2216 9 itself -PRON- PRP 39713 2216 10 , , , 39713 2216 11 would would MD 39713 2216 12 thenceforth thenceforth NN 39713 2216 13 have have VB 39713 2216 14 merely merely RB 39713 2216 15 a a DT 39713 2216 16 practical practical JJ 39713 2216 17 value value NN 39713 2216 18 . . . 39713 2217 1 Unfortunately unfortunately RB 39713 2217 2 the the DT 39713 2217 3 difficulty difficulty NN 39713 2217 4 does do VBZ 39713 2217 5 not not RB 39713 2217 6 thus thus RB 39713 2217 7 disappear disappear VB 39713 2217 8 . . . 39713 2218 1 A a DT 39713 2218 2 gambler gambler NN 39713 2218 3 wants want VBZ 39713 2218 4 to to TO 39713 2218 5 try try VB 39713 2218 6 a a DT 39713 2218 7 _ _ NNP 39713 2218 8 coup coup NN 39713 2218 9 _ _ NNP 39713 2218 10 ; ; : 39713 2218 11 he -PRON- PRP 39713 2218 12 asks ask VBZ 39713 2218 13 my -PRON- PRP$ 39713 2218 14 advice advice NN 39713 2218 15 . . . 39713 2219 1 If if IN 39713 2219 2 I -PRON- PRP 39713 2219 3 give give VBP 39713 2219 4 it -PRON- PRP 39713 2219 5 to to IN 39713 2219 6 him -PRON- PRP 39713 2219 7 , , , 39713 2219 8 I -PRON- PRP 39713 2219 9 shall shall MD 39713 2219 10 use use VB 39713 2219 11 the the DT 39713 2219 12 calculus calculus NN 39713 2219 13 of of IN 39713 2219 14 probabilities probability NNS 39713 2219 15 , , , 39713 2219 16 but but CC 39713 2219 17 I -PRON- PRP 39713 2219 18 shall shall MD 39713 2219 19 not not RB 39713 2219 20 guarantee guarantee VB 39713 2219 21 success success NN 39713 2219 22 . . . 39713 2220 1 This this DT 39713 2220 2 is be VBZ 39713 2220 3 what what WP 39713 2220 4 I -PRON- PRP 39713 2220 5 shall shall MD 39713 2220 6 call call VB 39713 2220 7 _ _ NNP 39713 2220 8 subjective subjective JJ 39713 2220 9 probability probability NN 39713 2220 10 _ _ NNP 39713 2220 11 . . . 39713 2221 1 In in IN 39713 2221 2 this this DT 39713 2221 3 case case NN 39713 2221 4 , , , 39713 2221 5 we -PRON- PRP 39713 2221 6 might may MD 39713 2221 7 be be VB 39713 2221 8 content content JJ 39713 2221 9 with with IN 39713 2221 10 the the DT 39713 2221 11 explanation explanation NN 39713 2221 12 of of IN 39713 2221 13 which which WDT 39713 2221 14 I -PRON- PRP 39713 2221 15 have have VBP 39713 2221 16 just just RB 39713 2221 17 given give VBN 39713 2221 18 a a DT 39713 2221 19 sketch sketch NN 39713 2221 20 . . . 39713 2222 1 But but CC 39713 2222 2 suppose suppose VB 39713 2222 3 that that IN 39713 2222 4 an an DT 39713 2222 5 observer observer NN 39713 2222 6 is be VBZ 39713 2222 7 present present JJ 39713 2222 8 at at IN 39713 2222 9 the the DT 39713 2222 10 game game NN 39713 2222 11 , , , 39713 2222 12 that that IN 39713 2222 13 he -PRON- PRP 39713 2222 14 notes note VBZ 39713 2222 15 all all DT 39713 2222 16 its -PRON- PRP$ 39713 2222 17 _ _ NNP 39713 2222 18 coups coup NNS 39713 2222 19 _ _ NNP 39713 2222 20 , , , 39713 2222 21 and and CC 39713 2222 22 that that IN 39713 2222 23 the the DT 39713 2222 24 game game NN 39713 2222 25 goes go VBZ 39713 2222 26 on on IN 39713 2222 27 a a DT 39713 2222 28 long long JJ 39713 2222 29 time time NN 39713 2222 30 . . . 39713 2223 1 When when WRB 39713 2223 2 he -PRON- PRP 39713 2223 3 makes make VBZ 39713 2223 4 a a DT 39713 2223 5 summary summary NN 39713 2223 6 of of IN 39713 2223 7 his -PRON- PRP$ 39713 2223 8 book book NN 39713 2223 9 , , , 39713 2223 10 he -PRON- PRP 39713 2223 11 will will MD 39713 2223 12 find find VB 39713 2223 13 that that IN 39713 2223 14 events event NNS 39713 2223 15 have have VBP 39713 2223 16 taken take VBN 39713 2223 17 place place NN 39713 2223 18 in in IN 39713 2223 19 conformity conformity NN 39713 2223 20 with with IN 39713 2223 21 the the DT 39713 2223 22 laws law NNS 39713 2223 23 of of IN 39713 2223 24 the the DT 39713 2223 25 calculus calculus NN 39713 2223 26 of of IN 39713 2223 27 probabilities probability NNS 39713 2223 28 . . . 39713 2224 1 This this DT 39713 2224 2 is be VBZ 39713 2224 3 what what WP 39713 2224 4 I -PRON- PRP 39713 2224 5 shall shall MD 39713 2224 6 call call VB 39713 2224 7 _ _ NNP 39713 2224 8 objective objective JJ 39713 2224 9 probability probability NN 39713 2224 10 _ _ NNP 39713 2224 11 , , , 39713 2224 12 and and CC 39713 2224 13 it -PRON- PRP 39713 2224 14 is be VBZ 39713 2224 15 this this DT 39713 2224 16 phenomenon phenomenon NN 39713 2224 17 which which WDT 39713 2224 18 has have VBZ 39713 2224 19 to to TO 39713 2224 20 be be VB 39713 2224 21 explained explain VBN 39713 2224 22 . . . 39713 2225 1 There there EX 39713 2225 2 are be VBP 39713 2225 3 numerous numerous JJ 39713 2225 4 insurance insurance NN 39713 2225 5 companies company NNS 39713 2225 6 which which WDT 39713 2225 7 apply apply VBP 39713 2225 8 the the DT 39713 2225 9 rules rule NNS 39713 2225 10 of of IN 39713 2225 11 the the DT 39713 2225 12 calculus calculus NN 39713 2225 13 of of IN 39713 2225 14 probabilities probability NNS 39713 2225 15 , , , 39713 2225 16 and and CC 39713 2225 17 they -PRON- PRP 39713 2225 18 distribute distribute VBP 39713 2225 19 to to IN 39713 2225 20 their -PRON- PRP$ 39713 2225 21 shareholders shareholder NNS 39713 2225 22 dividends dividend NNS 39713 2225 23 whose whose WP$ 39713 2225 24 objective objective JJ 39713 2225 25 reality reality NN 39713 2225 26 can can MD 39713 2225 27 not not RB 39713 2225 28 be be VB 39713 2225 29 contested contest VBN 39713 2225 30 . . . 39713 2226 1 To to TO 39713 2226 2 invoke invoke VB 39713 2226 3 our -PRON- PRP$ 39713 2226 4 ignorance ignorance NN 39713 2226 5 and and CC 39713 2226 6 the the DT 39713 2226 7 necessity necessity NN 39713 2226 8 to to TO 39713 2226 9 act act VB 39713 2226 10 does do VBZ 39713 2226 11 not not RB 39713 2226 12 suffice suffice VB 39713 2226 13 to to TO 39713 2226 14 explain explain VB 39713 2226 15 them -PRON- PRP 39713 2226 16 . . . 39713 2227 1 Thus thus RB 39713 2227 2 absolute absolute JJ 39713 2227 3 skepticism skepticism NN 39713 2227 4 is be VBZ 39713 2227 5 not not RB 39713 2227 6 admissible admissible JJ 39713 2227 7 . . . 39713 2228 1 We -PRON- PRP 39713 2228 2 may may MD 39713 2228 3 distrust distrust VB 39713 2228 4 , , , 39713 2228 5 but but CC 39713 2228 6 we -PRON- PRP 39713 2228 7 can can MD 39713 2228 8 not not RB 39713 2228 9 condemn condemn VB 39713 2228 10 _ _ NNP 39713 2228 11 en en NNP 39713 2228 12 bloc bloc NNP 39713 2228 13 _ _ NNP 39713 2228 14 . . . 39713 2229 1 Discussion discussion NN 39713 2229 2 is be VBZ 39713 2229 3 necessary necessary JJ 39713 2229 4 . . . 39713 2230 1 I. I. NNP 39713 2231 1 CLASSIFICATION classification NN 39713 2231 2 OF of IN 39713 2231 3 THE the DT 39713 2231 4 PROBLEMS PROBLEMS NNP 39713 2231 5 OF of IN 39713 2231 6 PROBABILITY.--In PROBABILITY.--In NNP 39713 2231 7 order order NN 39713 2231 8 to to TO 39713 2231 9 classify classify VB 39713 2231 10 the the DT 39713 2231 11 problems problem NNS 39713 2231 12 which which WDT 39713 2231 13 present present VBP 39713 2231 14 themselves -PRON- PRP 39713 2231 15 _ _ NNP 39713 2231 16 à à NNP 39713 2231 17 propos propos NN 39713 2231 18 _ _ NNP 39713 2231 19 of of IN 39713 2231 20 probabilities probability NNS 39713 2231 21 , , , 39713 2231 22 we -PRON- PRP 39713 2231 23 may may MD 39713 2231 24 look look VB 39713 2231 25 at at IN 39713 2231 26 them -PRON- PRP 39713 2231 27 from from IN 39713 2231 28 many many JJ 39713 2231 29 different different JJ 39713 2231 30 points point NNS 39713 2231 31 of of IN 39713 2231 32 view view NN 39713 2231 33 , , , 39713 2231 34 and and CC 39713 2231 35 , , , 39713 2231 36 first first RB 39713 2231 37 , , , 39713 2231 38 from from IN 39713 2231 39 the the DT 39713 2231 40 _ _ NNP 39713 2231 41 point point NN 39713 2231 42 of of IN 39713 2231 43 view view NN 39713 2231 44 of of IN 39713 2231 45 generality generality NN 39713 2231 46 _ _ NNP 39713 2231 47 . . . 39713 2232 1 I -PRON- PRP 39713 2232 2 have have VBP 39713 2232 3 said say VBD 39713 2232 4 above above IN 39713 2232 5 that that DT 39713 2232 6 probability probability NN 39713 2232 7 is be VBZ 39713 2232 8 the the DT 39713 2232 9 ratio ratio NN 39713 2232 10 of of IN 39713 2232 11 the the DT 39713 2232 12 number number NN 39713 2232 13 of of IN 39713 2232 14 favorable favorable JJ 39713 2232 15 cases case NNS 39713 2232 16 to to IN 39713 2232 17 the the DT 39713 2232 18 number number NN 39713 2232 19 of of IN 39713 2232 20 possible possible JJ 39713 2232 21 cases case NNS 39713 2232 22 . . . 39713 2233 1 What what WP 39713 2233 2 for for IN 39713 2233 3 want want NN 39713 2233 4 of of IN 39713 2233 5 a a DT 39713 2233 6 better well JJR 39713 2233 7 term term NN 39713 2233 8 I -PRON- PRP 39713 2233 9 call call VBP 39713 2233 10 the the DT 39713 2233 11 generality generality NN 39713 2233 12 will will MD 39713 2233 13 increase increase VB 39713 2233 14 with with IN 39713 2233 15 the the DT 39713 2233 16 number number NN 39713 2233 17 of of IN 39713 2233 18 possible possible JJ 39713 2233 19 cases case NNS 39713 2233 20 . . . 39713 2234 1 This this DT 39713 2234 2 number number NN 39713 2234 3 may may MD 39713 2234 4 be be VB 39713 2234 5 finite finite JJ 39713 2234 6 , , , 39713 2234 7 as as IN 39713 2234 8 , , , 39713 2234 9 for for IN 39713 2234 10 instance instance NN 39713 2234 11 , , , 39713 2234 12 if if IN 39713 2234 13 we -PRON- PRP 39713 2234 14 take take VBP 39713 2234 15 a a DT 39713 2234 16 throw throw NN 39713 2234 17 of of IN 39713 2234 18 the the DT 39713 2234 19 dice dice NN 39713 2234 20 in in IN 39713 2234 21 which which WDT 39713 2234 22 the the DT 39713 2234 23 number number NN 39713 2234 24 of of IN 39713 2234 25 possible possible JJ 39713 2234 26 cases case NNS 39713 2234 27 is be VBZ 39713 2234 28 36 36 CD 39713 2234 29 . . . 39713 2235 1 That that DT 39713 2235 2 is be VBZ 39713 2235 3 the the DT 39713 2235 4 first first JJ 39713 2235 5 degree degree NN 39713 2235 6 of of IN 39713 2235 7 generality generality NN 39713 2235 8 . . . 39713 2236 1 But but CC 39713 2236 2 if if IN 39713 2236 3 we -PRON- PRP 39713 2236 4 ask ask VBP 39713 2236 5 , , , 39713 2236 6 for for IN 39713 2236 7 example example NN 39713 2236 8 , , , 39713 2236 9 what what WP 39713 2236 10 is be VBZ 39713 2236 11 the the DT 39713 2236 12 probability probability NN 39713 2236 13 that that IN 39713 2236 14 a a DT 39713 2236 15 point point NN 39713 2236 16 within within IN 39713 2236 17 a a DT 39713 2236 18 circle circle NN 39713 2236 19 is be VBZ 39713 2236 20 within within IN 39713 2236 21 the the DT 39713 2236 22 inscribed inscribe VBN 39713 2236 23 square square NN 39713 2236 24 , , , 39713 2236 25 there there EX 39713 2236 26 are be VBP 39713 2236 27 as as RB 39713 2236 28 many many JJ 39713 2236 29 possible possible JJ 39713 2236 30 cases case NNS 39713 2236 31 as as IN 39713 2236 32 there there EX 39713 2236 33 are be VBP 39713 2236 34 points point NNS 39713 2236 35 in in IN 39713 2236 36 the the DT 39713 2236 37 circle circle NN 39713 2236 38 , , , 39713 2236 39 that that DT 39713 2236 40 is be VBZ 39713 2236 41 to to TO 39713 2236 42 say say VB 39713 2236 43 , , , 39713 2236 44 an an DT 39713 2236 45 infinity infinity NN 39713 2236 46 . . . 39713 2237 1 This this DT 39713 2237 2 is be VBZ 39713 2237 3 the the DT 39713 2237 4 second second JJ 39713 2237 5 degree degree NN 39713 2237 6 of of IN 39713 2237 7 generality generality NN 39713 2237 8 . . . 39713 2238 1 Generality generality NN 39713 2238 2 can can MD 39713 2238 3 be be VB 39713 2238 4 pushed push VBN 39713 2238 5 further further RB 39713 2238 6 still still RB 39713 2238 7 . . . 39713 2239 1 We -PRON- PRP 39713 2239 2 may may MD 39713 2239 3 ask ask VB 39713 2239 4 the the DT 39713 2239 5 probability probability NN 39713 2239 6 that that IN 39713 2239 7 a a DT 39713 2239 8 function function NN 39713 2239 9 will will MD 39713 2239 10 satisfy satisfy VB 39713 2239 11 a a DT 39713 2239 12 given give VBN 39713 2239 13 condition condition NN 39713 2239 14 . . . 39713 2240 1 There there EX 39713 2240 2 are be VBP 39713 2240 3 then then RB 39713 2240 4 as as RB 39713 2240 5 many many JJ 39713 2240 6 possible possible JJ 39713 2240 7 cases case NNS 39713 2240 8 as as IN 39713 2240 9 one one PRP 39713 2240 10 can can MD 39713 2240 11 imagine imagine VB 39713 2240 12 different different JJ 39713 2240 13 functions function NNS 39713 2240 14 . . . 39713 2241 1 This this DT 39713 2241 2 is be VBZ 39713 2241 3 the the DT 39713 2241 4 third third JJ 39713 2241 5 degree degree NN 39713 2241 6 of of IN 39713 2241 7 generality generality NN 39713 2241 8 , , , 39713 2241 9 to to TO 39713 2241 10 which which WDT 39713 2241 11 we -PRON- PRP 39713 2241 12 rise rise VBP 39713 2241 13 , , , 39713 2241 14 for for IN 39713 2241 15 instance instance NN 39713 2241 16 , , , 39713 2241 17 when when WRB 39713 2241 18 we -PRON- PRP 39713 2241 19 seek seek VBP 39713 2241 20 to to TO 39713 2241 21 find find VB 39713 2241 22 the the DT 39713 2241 23 most most RBS 39713 2241 24 probable probable JJ 39713 2241 25 law law NN 39713 2241 26 in in IN 39713 2241 27 conformity conformity NN 39713 2241 28 with with IN 39713 2241 29 a a DT 39713 2241 30 finite finite JJ 39713 2241 31 number number NN 39713 2241 32 of of IN 39713 2241 33 observations observation NNS 39713 2241 34 . . . 39713 2242 1 We -PRON- PRP 39713 2242 2 may may MD 39713 2242 3 place place VB 39713 2242 4 ourselves -PRON- PRP 39713 2242 5 at at IN 39713 2242 6 a a DT 39713 2242 7 point point NN 39713 2242 8 of of IN 39713 2242 9 view view NN 39713 2242 10 wholly wholly RB 39713 2242 11 different different JJ 39713 2242 12 . . . 39713 2243 1 If if IN 39713 2243 2 we -PRON- PRP 39713 2243 3 were be VBD 39713 2243 4 not not RB 39713 2243 5 ignorant ignorant JJ 39713 2243 6 , , , 39713 2243 7 there there EX 39713 2243 8 would would MD 39713 2243 9 be be VB 39713 2243 10 no no DT 39713 2243 11 probability probability NN 39713 2243 12 , , , 39713 2243 13 there there EX 39713 2243 14 would would MD 39713 2243 15 be be VB 39713 2243 16 room room NN 39713 2243 17 for for IN 39713 2243 18 nothing nothing NN 39713 2243 19 but but IN 39713 2243 20 certainty certainty NN 39713 2243 21 . . . 39713 2244 1 But but CC 39713 2244 2 our -PRON- PRP$ 39713 2244 3 ignorance ignorance NN 39713 2244 4 can can MD 39713 2244 5 not not RB 39713 2244 6 be be VB 39713 2244 7 absolute absolute JJ 39713 2244 8 , , , 39713 2244 9 for for IN 39713 2244 10 then then RB 39713 2244 11 there there EX 39713 2244 12 would would MD 39713 2244 13 no no RB 39713 2244 14 longer longer RB 39713 2244 15 be be VB 39713 2244 16 any any DT 39713 2244 17 probability probability NN 39713 2244 18 at at RB 39713 2244 19 all all RB 39713 2244 20 , , , 39713 2244 21 since since IN 39713 2244 22 a a DT 39713 2244 23 little little JJ 39713 2244 24 light light NN 39713 2244 25 is be VBZ 39713 2244 26 necessary necessary JJ 39713 2244 27 to to TO 39713 2244 28 attain attain VB 39713 2244 29 even even RB 39713 2244 30 this this DT 39713 2244 31 uncertain uncertain JJ 39713 2244 32 science science NN 39713 2244 33 . . . 39713 2245 1 Thus thus RB 39713 2245 2 the the DT 39713 2245 3 problems problem NNS 39713 2245 4 of of IN 39713 2245 5 probability probability NN 39713 2245 6 may may MD 39713 2245 7 be be VB 39713 2245 8 classed class VBN 39713 2245 9 according accord VBG 39713 2245 10 to to IN 39713 2245 11 the the DT 39713 2245 12 greater great JJR 39713 2245 13 or or CC 39713 2245 14 less less JJR 39713 2245 15 depth depth NN 39713 2245 16 of of IN 39713 2245 17 this this DT 39713 2245 18 ignorance ignorance NN 39713 2245 19 . . . 39713 2246 1 In in IN 39713 2246 2 mathematics mathematic NNS 39713 2246 3 even even RB 39713 2246 4 we -PRON- PRP 39713 2246 5 may may MD 39713 2246 6 set set VB 39713 2246 7 ourselves -PRON- PRP 39713 2246 8 problems problem NNS 39713 2246 9 of of IN 39713 2246 10 probability probability NN 39713 2246 11 . . . 39713 2247 1 What what WP 39713 2247 2 is be VBZ 39713 2247 3 the the DT 39713 2247 4 probability probability NN 39713 2247 5 that that WDT 39713 2247 6 the the DT 39713 2247 7 fifth fifth JJ 39713 2247 8 decimal decimal NN 39713 2247 9 of of IN 39713 2247 10 a a DT 39713 2247 11 logarithm logarithm NN 39713 2247 12 taken take VBN 39713 2247 13 at at IN 39713 2247 14 random random JJ 39713 2247 15 from from IN 39713 2247 16 a a DT 39713 2247 17 table table NN 39713 2247 18 is be VBZ 39713 2247 19 a a DT 39713 2247 20 ' ' `` 39713 2247 21 9 9 CD 39713 2247 22 ' ' '' 39713 2247 23 ? ? . 39713 2248 1 There there EX 39713 2248 2 is be VBZ 39713 2248 3 no no DT 39713 2248 4 hesitation hesitation NN 39713 2248 5 in in IN 39713 2248 6 answering answer VBG 39713 2248 7 that that IN 39713 2248 8 this this DT 39713 2248 9 probability probability NN 39713 2248 10 is be VBZ 39713 2248 11 1/10 1/10 CD 39713 2248 12 ; ; : 39713 2248 13 here here RB 39713 2248 14 we -PRON- PRP 39713 2248 15 possess possess VBP 39713 2248 16 all all PDT 39713 2248 17 the the DT 39713 2248 18 data datum NNS 39713 2248 19 of of IN 39713 2248 20 the the DT 39713 2248 21 problem problem NN 39713 2248 22 . . . 39713 2249 1 We -PRON- PRP 39713 2249 2 can can MD 39713 2249 3 calculate calculate VB 39713 2249 4 our -PRON- PRP$ 39713 2249 5 logarithm logarithm NN 39713 2249 6 without without IN 39713 2249 7 recourse recourse NN 39713 2249 8 to to IN 39713 2249 9 the the DT 39713 2249 10 table table NN 39713 2249 11 , , , 39713 2249 12 but but CC 39713 2249 13 we -PRON- PRP 39713 2249 14 do do VBP 39713 2249 15 not not RB 39713 2249 16 wish wish VB 39713 2249 17 to to TO 39713 2249 18 give give VB 39713 2249 19 ourselves -PRON- PRP 39713 2249 20 the the DT 39713 2249 21 trouble trouble NN 39713 2249 22 . . . 39713 2250 1 This this DT 39713 2250 2 is be VBZ 39713 2250 3 the the DT 39713 2250 4 first first JJ 39713 2250 5 degree degree NN 39713 2250 6 of of IN 39713 2250 7 ignorance ignorance NN 39713 2250 8 . . . 39713 2251 1 In in IN 39713 2251 2 the the DT 39713 2251 3 physical physical JJ 39713 2251 4 sciences science NNS 39713 2251 5 our -PRON- PRP$ 39713 2251 6 ignorance ignorance NN 39713 2251 7 becomes become VBZ 39713 2251 8 greater great JJR 39713 2251 9 . . . 39713 2252 1 The the DT 39713 2252 2 state state NN 39713 2252 3 of of IN 39713 2252 4 a a DT 39713 2252 5 system system NN 39713 2252 6 at at IN 39713 2252 7 a a DT 39713 2252 8 given give VBN 39713 2252 9 instant instant NN 39713 2252 10 depends depend VBZ 39713 2252 11 on on IN 39713 2252 12 two two CD 39713 2252 13 things thing NNS 39713 2252 14 : : : 39713 2252 15 Its -PRON- PRP$ 39713 2252 16 initial initial JJ 39713 2252 17 state state NN 39713 2252 18 , , , 39713 2252 19 and and CC 39713 2252 20 the the DT 39713 2252 21 law law NN 39713 2252 22 according accord VBG 39713 2252 23 to to IN 39713 2252 24 which which WDT 39713 2252 25 that that IN 39713 2252 26 state state NN 39713 2252 27 varies vary VBZ 39713 2252 28 . . . 39713 2253 1 If if IN 39713 2253 2 we -PRON- PRP 39713 2253 3 know know VBP 39713 2253 4 both both CC 39713 2253 5 this this DT 39713 2253 6 law law NN 39713 2253 7 and and CC 39713 2253 8 this this DT 39713 2253 9 initial initial JJ 39713 2253 10 state state NN 39713 2253 11 , , , 39713 2253 12 we -PRON- PRP 39713 2253 13 shall shall MD 39713 2253 14 have have VB 39713 2253 15 then then RB 39713 2253 16 only only RB 39713 2253 17 a a DT 39713 2253 18 mathematical mathematical JJ 39713 2253 19 problem problem NN 39713 2253 20 to to TO 39713 2253 21 solve solve VB 39713 2253 22 , , , 39713 2253 23 and and CC 39713 2253 24 we -PRON- PRP 39713 2253 25 fall fall VBP 39713 2253 26 back back RB 39713 2253 27 upon upon IN 39713 2253 28 the the DT 39713 2253 29 first first JJ 39713 2253 30 degree degree NN 39713 2253 31 of of IN 39713 2253 32 ignorance ignorance NN 39713 2253 33 . . . 39713 2254 1 But but CC 39713 2254 2 it -PRON- PRP 39713 2254 3 often often RB 39713 2254 4 happens happen VBZ 39713 2254 5 that that IN 39713 2254 6 we -PRON- PRP 39713 2254 7 know know VBP 39713 2254 8 the the DT 39713 2254 9 law law NN 39713 2254 10 , , , 39713 2254 11 and and CC 39713 2254 12 do do VBP 39713 2254 13 not not RB 39713 2254 14 know know VB 39713 2254 15 the the DT 39713 2254 16 initial initial JJ 39713 2254 17 state state NN 39713 2254 18 . . . 39713 2255 1 It -PRON- PRP 39713 2255 2 may may MD 39713 2255 3 be be VB 39713 2255 4 asked ask VBN 39713 2255 5 , , , 39713 2255 6 for for IN 39713 2255 7 instance instance NN 39713 2255 8 , , , 39713 2255 9 what what WP 39713 2255 10 is be VBZ 39713 2255 11 the the DT 39713 2255 12 present present JJ 39713 2255 13 distribution distribution NN 39713 2255 14 of of IN 39713 2255 15 the the DT 39713 2255 16 minor minor JJ 39713 2255 17 planets planet NNS 39713 2255 18 ? ? . 39713 2256 1 We -PRON- PRP 39713 2256 2 know know VBP 39713 2256 3 that that IN 39713 2256 4 from from IN 39713 2256 5 all all DT 39713 2256 6 time time NN 39713 2256 7 they -PRON- PRP 39713 2256 8 have have VBP 39713 2256 9 obeyed obey VBN 39713 2256 10 the the DT 39713 2256 11 laws law NNS 39713 2256 12 of of IN 39713 2256 13 Kepler Kepler NNP 39713 2256 14 , , , 39713 2256 15 but but CC 39713 2256 16 we -PRON- PRP 39713 2256 17 do do VBP 39713 2256 18 not not RB 39713 2256 19 know know VB 39713 2256 20 what what WP 39713 2256 21 was be VBD 39713 2256 22 their -PRON- PRP$ 39713 2256 23 initial initial JJ 39713 2256 24 distribution distribution NN 39713 2256 25 . . . 39713 2257 1 In in IN 39713 2257 2 the the DT 39713 2257 3 kinetic kinetic JJ 39713 2257 4 theory theory NN 39713 2257 5 of of IN 39713 2257 6 gases gas NNS 39713 2257 7 , , , 39713 2257 8 we -PRON- PRP 39713 2257 9 assume assume VBP 39713 2257 10 that that IN 39713 2257 11 the the DT 39713 2257 12 gaseous gaseous JJ 39713 2257 13 molecules molecule NNS 39713 2257 14 follow follow VBP 39713 2257 15 rectilinear rectilinear JJ 39713 2257 16 trajectories trajectory NNS 39713 2257 17 , , , 39713 2257 18 and and CC 39713 2257 19 obey obey VB 39713 2257 20 the the DT 39713 2257 21 laws law NNS 39713 2257 22 of of IN 39713 2257 23 impact impact NN 39713 2257 24 of of IN 39713 2257 25 elastic elastic JJ 39713 2257 26 bodies body NNS 39713 2257 27 . . . 39713 2258 1 But but CC 39713 2258 2 , , , 39713 2258 3 as as IN 39713 2258 4 we -PRON- PRP 39713 2258 5 know know VBP 39713 2258 6 nothing nothing NN 39713 2258 7 of of IN 39713 2258 8 their -PRON- PRP$ 39713 2258 9 initial initial JJ 39713 2258 10 velocities velocity NNS 39713 2258 11 , , , 39713 2258 12 we -PRON- PRP 39713 2258 13 know know VBP 39713 2258 14 nothing nothing NN 39713 2258 15 of of IN 39713 2258 16 their -PRON- PRP$ 39713 2258 17 present present JJ 39713 2258 18 velocities velocity NNS 39713 2258 19 . . . 39713 2259 1 The the DT 39713 2259 2 calculus calculus NN 39713 2259 3 of of IN 39713 2259 4 probabilities probability NNS 39713 2259 5 only only RB 39713 2259 6 enables enable VBZ 39713 2259 7 us -PRON- PRP 39713 2259 8 to to TO 39713 2259 9 predict predict VB 39713 2259 10 the the DT 39713 2259 11 mean mean JJ 39713 2259 12 phenomena phenomenon NNS 39713 2259 13 which which WDT 39713 2259 14 will will MD 39713 2259 15 result result VB 39713 2259 16 from from IN 39713 2259 17 the the DT 39713 2259 18 combination combination NN 39713 2259 19 of of IN 39713 2259 20 these these DT 39713 2259 21 velocities velocity NNS 39713 2259 22 . . . 39713 2260 1 This this DT 39713 2260 2 is be VBZ 39713 2260 3 the the DT 39713 2260 4 second second JJ 39713 2260 5 degree degree NN 39713 2260 6 of of IN 39713 2260 7 ignorance ignorance NN 39713 2260 8 . . . 39713 2261 1 Finally finally RB 39713 2261 2 it -PRON- PRP 39713 2261 3 is be VBZ 39713 2261 4 possible possible JJ 39713 2261 5 that that IN 39713 2261 6 not not RB 39713 2261 7 only only RB 39713 2261 8 the the DT 39713 2261 9 initial initial JJ 39713 2261 10 conditions condition NNS 39713 2261 11 but but CC 39713 2261 12 the the DT 39713 2261 13 laws law NNS 39713 2261 14 themselves -PRON- PRP 39713 2261 15 are be VBP 39713 2261 16 unknown unknown JJ 39713 2261 17 . . . 39713 2262 1 We -PRON- PRP 39713 2262 2 then then RB 39713 2262 3 reach reach VBP 39713 2262 4 the the DT 39713 2262 5 third third JJ 39713 2262 6 degree degree NN 39713 2262 7 of of IN 39713 2262 8 ignorance ignorance NN 39713 2262 9 and and CC 39713 2262 10 in in IN 39713 2262 11 general general JJ 39713 2262 12 we -PRON- PRP 39713 2262 13 can can MD 39713 2262 14 no no RB 39713 2262 15 longer long RBR 39713 2262 16 affirm affirm VB 39713 2262 17 anything anything NN 39713 2262 18 at at RB 39713 2262 19 all all RB 39713 2262 20 as as IN 39713 2262 21 to to IN 39713 2262 22 the the DT 39713 2262 23 probability probability NN 39713 2262 24 of of IN 39713 2262 25 a a DT 39713 2262 26 phenomenon phenomenon NN 39713 2262 27 . . . 39713 2263 1 It -PRON- PRP 39713 2263 2 often often RB 39713 2263 3 happens happen VBZ 39713 2263 4 that that IN 39713 2263 5 instead instead RB 39713 2263 6 of of IN 39713 2263 7 trying try VBG 39713 2263 8 to to TO 39713 2263 9 guess guess VB 39713 2263 10 an an DT 39713 2263 11 event event NN 39713 2263 12 , , , 39713 2263 13 by by IN 39713 2263 14 means mean NNS 39713 2263 15 of of IN 39713 2263 16 a a DT 39713 2263 17 more more RBR 39713 2263 18 or or CC 39713 2263 19 less less RBR 39713 2263 20 imperfect imperfect JJ 39713 2263 21 knowledge knowledge NN 39713 2263 22 of of IN 39713 2263 23 the the DT 39713 2263 24 law law NN 39713 2263 25 , , , 39713 2263 26 the the DT 39713 2263 27 events event NNS 39713 2263 28 may may MD 39713 2263 29 be be VB 39713 2263 30 known know VBN 39713 2263 31 and and CC 39713 2263 32 we -PRON- PRP 39713 2263 33 want want VBP 39713 2263 34 to to TO 39713 2263 35 find find VB 39713 2263 36 the the DT 39713 2263 37 law law NN 39713 2263 38 ; ; : 39713 2263 39 or or CC 39713 2263 40 that that IN 39713 2263 41 instead instead RB 39713 2263 42 of of IN 39713 2263 43 deducing deducing NN 39713 2263 44 effects effect NNS 39713 2263 45 from from IN 39713 2263 46 causes cause NNS 39713 2263 47 , , , 39713 2263 48 we -PRON- PRP 39713 2263 49 wish wish VBP 39713 2263 50 to to TO 39713 2263 51 deduce deduce VB 39713 2263 52 the the DT 39713 2263 53 causes cause NNS 39713 2263 54 from from IN 39713 2263 55 the the DT 39713 2263 56 effects effect NNS 39713 2263 57 . . . 39713 2264 1 These these DT 39713 2264 2 are be VBP 39713 2264 3 the the DT 39713 2264 4 problems problem NNS 39713 2264 5 called call VBN 39713 2264 6 _ _ NNP 39713 2264 7 probability probability NN 39713 2264 8 of of IN 39713 2264 9 causes cause NNS 39713 2264 10 _ _ NNP 39713 2264 11 , , , 39713 2264 12 the the DT 39713 2264 13 most most RBS 39713 2264 14 interesting interesting JJ 39713 2264 15 from from IN 39713 2264 16 the the DT 39713 2264 17 point point NN 39713 2264 18 of of IN 39713 2264 19 view view NN 39713 2264 20 of of IN 39713 2264 21 their -PRON- PRP$ 39713 2264 22 scientific scientific JJ 39713 2264 23 applications application NNS 39713 2264 24 . . . 39713 2265 1 I -PRON- PRP 39713 2265 2 play play VBP 39713 2265 3 écarté écarté NN 39713 2265 4 with with IN 39713 2265 5 a a DT 39713 2265 6 gentleman gentleman NN 39713 2265 7 I -PRON- PRP 39713 2265 8 know know VBP 39713 2265 9 to to TO 39713 2265 10 be be VB 39713 2265 11 perfectly perfectly RB 39713 2265 12 honest honest JJ 39713 2265 13 . . . 39713 2266 1 He -PRON- PRP 39713 2266 2 is be VBZ 39713 2266 3 about about JJ 39713 2266 4 to to TO 39713 2266 5 deal deal VB 39713 2266 6 . . . 39713 2267 1 What what WP 39713 2267 2 is be VBZ 39713 2267 3 the the DT 39713 2267 4 probability probability NN 39713 2267 5 of of IN 39713 2267 6 his -PRON- PRP$ 39713 2267 7 turning turn VBG 39713 2267 8 up up RP 39713 2267 9 the the DT 39713 2267 10 king king NN 39713 2267 11 ? ? . 39713 2268 1 It -PRON- PRP 39713 2268 2 is be VBZ 39713 2268 3 1/8 1/8 CD 39713 2268 4 . . . 39713 2269 1 This this DT 39713 2269 2 is be VBZ 39713 2269 3 a a DT 39713 2269 4 problem problem NN 39713 2269 5 of of IN 39713 2269 6 the the DT 39713 2269 7 probability probability NN 39713 2269 8 of of IN 39713 2269 9 effects effect NNS 39713 2269 10 . . . 39713 2270 1 I -PRON- PRP 39713 2270 2 play play VBP 39713 2270 3 with with IN 39713 2270 4 a a DT 39713 2270 5 gentleman gentleman NN 39713 2270 6 whom whom WP 39713 2270 7 I -PRON- PRP 39713 2270 8 do do VBP 39713 2270 9 not not RB 39713 2270 10 know know VB 39713 2270 11 . . . 39713 2271 1 He -PRON- PRP 39713 2271 2 has have VBZ 39713 2271 3 dealt deal VBN 39713 2271 4 ten ten CD 39713 2271 5 times time NNS 39713 2271 6 , , , 39713 2271 7 and and CC 39713 2271 8 he -PRON- PRP 39713 2271 9 has have VBZ 39713 2271 10 turned turn VBN 39713 2271 11 up up RP 39713 2271 12 the the DT 39713 2271 13 king king NN 39713 2271 14 six six CD 39713 2271 15 times time NNS 39713 2271 16 . . . 39713 2272 1 What what WP 39713 2272 2 is be VBZ 39713 2272 3 the the DT 39713 2272 4 probability probability NN 39713 2272 5 that that IN 39713 2272 6 he -PRON- PRP 39713 2272 7 is be VBZ 39713 2272 8 a a DT 39713 2272 9 sharper sharp JJR 39713 2272 10 ? ? . 39713 2273 1 This this DT 39713 2273 2 is be VBZ 39713 2273 3 a a DT 39713 2273 4 problem problem NN 39713 2273 5 in in IN 39713 2273 6 the the DT 39713 2273 7 probability probability NN 39713 2273 8 of of IN 39713 2273 9 causes cause NNS 39713 2273 10 . . . 39713 2274 1 It -PRON- PRP 39713 2274 2 may may MD 39713 2274 3 be be VB 39713 2274 4 said say VBN 39713 2274 5 that that IN 39713 2274 6 this this DT 39713 2274 7 is be VBZ 39713 2274 8 the the DT 39713 2274 9 essential essential JJ 39713 2274 10 problem problem NN 39713 2274 11 of of IN 39713 2274 12 the the DT 39713 2274 13 experimental experimental JJ 39713 2274 14 method method NN 39713 2274 15 . . . 39713 2275 1 I -PRON- PRP 39713 2275 2 have have VBP 39713 2275 3 observed observe VBN 39713 2275 4 _ _ NNP 39713 2275 5 n n CC 39713 2275 6 _ _ NNP 39713 2275 7 values value NNS 39713 2275 8 of of IN 39713 2275 9 _ _ NNP 39713 2275 10 x x NNP 39713 2275 11 _ _ NNP 39713 2275 12 and and CC 39713 2275 13 the the DT 39713 2275 14 corresponding correspond VBG 39713 2275 15 values value NNS 39713 2275 16 of of IN 39713 2275 17 _ _ NNP 39713 2275 18 y y NNP 39713 2275 19 _ _ NNP 39713 2275 20 . . . 39713 2276 1 I -PRON- PRP 39713 2276 2 have have VBP 39713 2276 3 found find VBN 39713 2276 4 that that IN 39713 2276 5 the the DT 39713 2276 6 ratio ratio NN 39713 2276 7 of of IN 39713 2276 8 the the DT 39713 2276 9 latter latter JJ 39713 2276 10 to to IN 39713 2276 11 the the DT 39713 2276 12 former former JJ 39713 2276 13 is be VBZ 39713 2276 14 practically practically RB 39713 2276 15 constant constant JJ 39713 2276 16 . . . 39713 2277 1 There there EX 39713 2277 2 is be VBZ 39713 2277 3 the the DT 39713 2277 4 event event NN 39713 2277 5 , , , 39713 2277 6 what what WP 39713 2277 7 is be VBZ 39713 2277 8 the the DT 39713 2277 9 cause cause NN 39713 2277 10 ? ? . 39713 2278 1 Is be VBZ 39713 2278 2 it -PRON- PRP 39713 2278 3 probable probable JJ 39713 2278 4 that that IN 39713 2278 5 there there EX 39713 2278 6 is be VBZ 39713 2278 7 a a DT 39713 2278 8 general general JJ 39713 2278 9 law law NN 39713 2278 10 according accord VBG 39713 2278 11 to to IN 39713 2278 12 which which WDT 39713 2278 13 _ _ NNP 39713 2278 14 y y NNP 39713 2278 15 _ _ NNP 39713 2278 16 would would MD 39713 2278 17 be be VB 39713 2278 18 proportional proportional JJ 39713 2278 19 to to IN 39713 2278 20 _ _ NNP 39713 2278 21 x x NNP 39713 2278 22 _ _ NNP 39713 2278 23 , , , 39713 2278 24 and and CC 39713 2278 25 that that IN 39713 2278 26 the the DT 39713 2278 27 small small JJ 39713 2278 28 divergencies divergency NNS 39713 2278 29 are be VBP 39713 2278 30 due due JJ 39713 2278 31 to to IN 39713 2278 32 errors error NNS 39713 2278 33 of of IN 39713 2278 34 observation observation NN 39713 2278 35 ? ? . 39713 2279 1 This this DT 39713 2279 2 is be VBZ 39713 2279 3 a a DT 39713 2279 4 type type NN 39713 2279 5 of of IN 39713 2279 6 question question NN 39713 2279 7 that that IN 39713 2279 8 one one NN 39713 2279 9 is be VBZ 39713 2279 10 ever ever RB 39713 2279 11 asking ask VBG 39713 2279 12 , , , 39713 2279 13 and and CC 39713 2279 14 which which WDT 39713 2279 15 we -PRON- PRP 39713 2279 16 unconsciously unconsciously RB 39713 2279 17 solve solve VBP 39713 2279 18 whenever whenever WRB 39713 2279 19 we -PRON- PRP 39713 2279 20 are be VBP 39713 2279 21 engaged engage VBN 39713 2279 22 in in IN 39713 2279 23 scientific scientific JJ 39713 2279 24 work work NN 39713 2279 25 . . . 39713 2280 1 I -PRON- PRP 39713 2280 2 am be VBP 39713 2280 3 now now RB 39713 2280 4 going go VBG 39713 2280 5 to to TO 39713 2280 6 pass pass VB 39713 2280 7 in in RP 39713 2280 8 review review NN 39713 2280 9 these these DT 39713 2280 10 different different JJ 39713 2280 11 categories category NNS 39713 2280 12 of of IN 39713 2280 13 problems problem NNS 39713 2280 14 , , , 39713 2280 15 discussing discuss VBG 39713 2280 16 in in IN 39713 2280 17 succession succession NN 39713 2280 18 what what WP 39713 2280 19 I -PRON- PRP 39713 2280 20 have have VBP 39713 2280 21 called call VBN 39713 2280 22 above above RB 39713 2280 23 subjective subjective JJ 39713 2280 24 and and CC 39713 2280 25 objective objective JJ 39713 2280 26 probability probability NN 39713 2280 27 . . . 39713 2281 1 II ii CD 39713 2281 2 . . . 39713 2282 1 PROBABILITY PROBABILITY NNS 39713 2282 2 IN in IN 39713 2282 3 MATHEMATICS.--The mathematics.--the JJ 39713 2282 4 impossibility impossibility NN 39713 2282 5 of of IN 39713 2282 6 squaring square VBG 39713 2282 7 the the DT 39713 2282 8 circle circle NN 39713 2282 9 has have VBZ 39713 2282 10 been be VBN 39713 2282 11 proved prove VBN 39713 2282 12 since since IN 39713 2282 13 1882 1882 CD 39713 2282 14 ; ; : 39713 2282 15 but but CC 39713 2282 16 even even RB 39713 2282 17 before before IN 39713 2282 18 that that DT 39713 2282 19 date date NN 39713 2282 20 all all DT 39713 2282 21 geometers geometer NNS 39713 2282 22 considered consider VBD 39713 2282 23 that that DT 39713 2282 24 impossibility impossibility NN 39713 2282 25 as as IN 39713 2282 26 so so RB 39713 2282 27 ' ' `` 39713 2282 28 probable probable JJ 39713 2282 29 , , , 39713 2282 30 ' ' '' 39713 2282 31 that that IN 39713 2282 32 the the DT 39713 2282 33 Academy Academy NNP 39713 2282 34 of of IN 39713 2282 35 Sciences Sciences NNPS 39713 2282 36 rejected reject VBD 39713 2282 37 without without IN 39713 2282 38 examination examination NN 39713 2282 39 the the DT 39713 2282 40 alas alas NN 39713 2282 41 ! ! . 39713 2283 1 too too RB 39713 2283 2 numerous numerous JJ 39713 2283 3 memoirs memoir NNS 39713 2283 4 on on IN 39713 2283 5 this this DT 39713 2283 6 subject subject NN 39713 2283 7 , , , 39713 2283 8 that that IN 39713 2283 9 some some DT 39713 2283 10 unhappy unhappy JJ 39713 2283 11 madmen madman NNS 39713 2283 12 sent send VBN 39713 2283 13 in in RP 39713 2283 14 every every DT 39713 2283 15 year year NN 39713 2283 16 . . . 39713 2284 1 Was be VBD 39713 2284 2 the the DT 39713 2284 3 Academy Academy NNP 39713 2284 4 wrong wrong JJ 39713 2284 5 ? ? . 39713 2285 1 Evidently evidently RB 39713 2285 2 not not RB 39713 2285 3 , , , 39713 2285 4 and and CC 39713 2285 5 it -PRON- PRP 39713 2285 6 knew know VBD 39713 2285 7 well well RB 39713 2285 8 that that IN 39713 2285 9 in in IN 39713 2285 10 acting act VBG 39713 2285 11 thus thus RB 39713 2285 12 it -PRON- PRP 39713 2285 13 did do VBD 39713 2285 14 not not RB 39713 2285 15 run run VB 39713 2285 16 the the DT 39713 2285 17 least least JJS 39713 2285 18 risk risk NN 39713 2285 19 of of IN 39713 2285 20 stifling stifle VBG 39713 2285 21 a a DT 39713 2285 22 discovery discovery NN 39713 2285 23 of of IN 39713 2285 24 moment moment NN 39713 2285 25 . . . 39713 2286 1 The the DT 39713 2286 2 Academy Academy NNP 39713 2286 3 could could MD 39713 2286 4 not not RB 39713 2286 5 have have VB 39713 2286 6 proved prove VBN 39713 2286 7 that that IN 39713 2286 8 it -PRON- PRP 39713 2286 9 was be VBD 39713 2286 10 right right JJ 39713 2286 11 ; ; : 39713 2286 12 but but CC 39713 2286 13 it -PRON- PRP 39713 2286 14 knew know VBD 39713 2286 15 quite quite RB 39713 2286 16 well well RB 39713 2286 17 that that IN 39713 2286 18 its -PRON- PRP$ 39713 2286 19 instinct instinct NN 39713 2286 20 was be VBD 39713 2286 21 not not RB 39713 2286 22 mistaken mistaken JJ 39713 2286 23 . . . 39713 2287 1 If if IN 39713 2287 2 you -PRON- PRP 39713 2287 3 had have VBD 39713 2287 4 asked ask VBN 39713 2287 5 the the DT 39713 2287 6 Academicians Academicians NNPS 39713 2287 7 , , , 39713 2287 8 they -PRON- PRP 39713 2287 9 would would MD 39713 2287 10 have have VB 39713 2287 11 answered answer VBN 39713 2287 12 : : : 39713 2287 13 " " `` 39713 2287 14 We -PRON- PRP 39713 2287 15 have have VBP 39713 2287 16 compared compare VBN 39713 2287 17 the the DT 39713 2287 18 probability probability NN 39713 2287 19 that that IN 39713 2287 20 an an DT 39713 2287 21 unknown unknown JJ 39713 2287 22 savant savant NN 39713 2287 23 should should MD 39713 2287 24 have have VB 39713 2287 25 found find VBN 39713 2287 26 out out RP 39713 2287 27 what what WP 39713 2287 28 has have VBZ 39713 2287 29 been be VBN 39713 2287 30 vainly vainly RB 39713 2287 31 sought seek VBN 39713 2287 32 for for IN 39713 2287 33 so so RB 39713 2287 34 long long RB 39713 2287 35 , , , 39713 2287 36 with with IN 39713 2287 37 the the DT 39713 2287 38 probability probability NN 39713 2287 39 that that IN 39713 2287 40 there there EX 39713 2287 41 is be VBZ 39713 2287 42 one one CD 39713 2287 43 madman madman NN 39713 2287 44 the the DT 39713 2287 45 more more JJR 39713 2287 46 on on IN 39713 2287 47 the the DT 39713 2287 48 earth earth NN 39713 2287 49 ; ; : 39713 2287 50 the the DT 39713 2287 51 second second JJ 39713 2287 52 appears appear VBZ 39713 2287 53 to to IN 39713 2287 54 us -PRON- PRP 39713 2287 55 the the DT 39713 2287 56 greater great JJR 39713 2287 57 . . . 39713 2287 58 " " '' 39713 2288 1 These these DT 39713 2288 2 are be VBP 39713 2288 3 very very RB 39713 2288 4 good good JJ 39713 2288 5 reasons reason NNS 39713 2288 6 , , , 39713 2288 7 but but CC 39713 2288 8 there there EX 39713 2288 9 is be VBZ 39713 2288 10 nothing nothing NN 39713 2288 11 mathematical mathematical JJ 39713 2288 12 about about IN 39713 2288 13 them -PRON- PRP 39713 2288 14 ; ; : 39713 2288 15 they -PRON- PRP 39713 2288 16 are be VBP 39713 2288 17 purely purely RB 39713 2288 18 psychological psychological JJ 39713 2288 19 . . . 39713 2289 1 And and CC 39713 2289 2 if if IN 39713 2289 3 you -PRON- PRP 39713 2289 4 had have VBD 39713 2289 5 pressed press VBN 39713 2289 6 them -PRON- PRP 39713 2289 7 further far RBR 39713 2289 8 they -PRON- PRP 39713 2289 9 would would MD 39713 2289 10 have have VB 39713 2289 11 added add VBN 39713 2289 12 : : : 39713 2289 13 " " `` 39713 2289 14 Why why WRB 39713 2289 15 do do VBP 39713 2289 16 you -PRON- PRP 39713 2289 17 suppose suppose VB 39713 2289 18 a a DT 39713 2289 19 particular particular JJ 39713 2289 20 value value NN 39713 2289 21 of of IN 39713 2289 22 a a DT 39713 2289 23 transcendental transcendental JJ 39713 2289 24 function function NN 39713 2289 25 to to TO 39713 2289 26 be be VB 39713 2289 27 an an DT 39713 2289 28 algebraic algebraic NN 39713 2289 29 number number NN 39713 2289 30 ; ; : 39713 2289 31 and and CC 39713 2289 32 if if IN 39713 2289 33 [ [ -LRB- 39713 2289 34 pi pi NN 39713 2289 35 ] ] -RRB- 39713 2289 36 were be VBD 39713 2289 37 a a DT 39713 2289 38 root root NN 39713 2289 39 of of IN 39713 2289 40 an an DT 39713 2289 41 algebraic algebraic JJ 39713 2289 42 equation equation NN 39713 2289 43 , , , 39713 2289 44 why why WRB 39713 2289 45 do do VBP 39713 2289 46 you -PRON- PRP 39713 2289 47 suppose suppose VB 39713 2289 48 this this DT 39713 2289 49 root root NN 39713 2289 50 to to TO 39713 2289 51 be be VB 39713 2289 52 a a DT 39713 2289 53 period period NN 39713 2289 54 of of IN 39713 2289 55 the the DT 39713 2289 56 function function NN 39713 2289 57 sin sin NN 39713 2289 58 2_x 2_x CD 39713 2289 59 _ _ NNP 39713 2289 60 , , , 39713 2289 61 and and CC 39713 2289 62 not not RB 39713 2289 63 the the DT 39713 2289 64 same same JJ 39713 2289 65 about about IN 39713 2289 66 the the DT 39713 2289 67 other other JJ 39713 2289 68 roots root NNS 39713 2289 69 of of IN 39713 2289 70 this this DT 39713 2289 71 same same JJ 39713 2289 72 equation equation NN 39713 2289 73 ? ? . 39713 2289 74 " " '' 39713 2290 1 To to TO 39713 2290 2 sum sum VB 39713 2290 3 up up RP 39713 2290 4 , , , 39713 2290 5 they -PRON- PRP 39713 2290 6 would would MD 39713 2290 7 have have VB 39713 2290 8 invoked invoke VBN 39713 2290 9 the the DT 39713 2290 10 principle principle NN 39713 2290 11 of of IN 39713 2290 12 sufficient sufficient JJ 39713 2290 13 reason reason NN 39713 2290 14 in in IN 39713 2290 15 its -PRON- PRP$ 39713 2290 16 vaguest vague JJS 39713 2290 17 form form NN 39713 2290 18 . . . 39713 2291 1 But but CC 39713 2291 2 what what WP 39713 2291 3 could could MD 39713 2291 4 they -PRON- PRP 39713 2291 5 deduce deduce VB 39713 2291 6 from from IN 39713 2291 7 it -PRON- PRP 39713 2291 8 ? ? . 39713 2292 1 At at IN 39713 2292 2 most most JJS 39713 2292 3 a a DT 39713 2292 4 rule rule NN 39713 2292 5 of of IN 39713 2292 6 conduct conduct NN 39713 2292 7 for for IN 39713 2292 8 the the DT 39713 2292 9 employment employment NN 39713 2292 10 of of IN 39713 2292 11 their -PRON- PRP$ 39713 2292 12 time time NN 39713 2292 13 , , , 39713 2292 14 more more RBR 39713 2292 15 usefully usefully RB 39713 2292 16 spent spend VBN 39713 2292 17 at at IN 39713 2292 18 their -PRON- PRP$ 39713 2292 19 ordinary ordinary JJ 39713 2292 20 work work NN 39713 2292 21 than than IN 39713 2292 22 in in IN 39713 2292 23 reading read VBG 39713 2292 24 a a DT 39713 2292 25 lucubration lucubration NN 39713 2292 26 that that WDT 39713 2292 27 inspired inspire VBD 39713 2292 28 in in IN 39713 2292 29 them -PRON- PRP 39713 2292 30 a a DT 39713 2292 31 legitimate legitimate JJ 39713 2292 32 distrust distrust NN 39713 2292 33 . . . 39713 2293 1 But but CC 39713 2293 2 what what WP 39713 2293 3 I -PRON- PRP 39713 2293 4 call call VBP 39713 2293 5 above above IN 39713 2293 6 objective objective JJ 39713 2293 7 probability probability NN 39713 2293 8 has have VBZ 39713 2293 9 nothing nothing NN 39713 2293 10 in in IN 39713 2293 11 common common JJ 39713 2293 12 with with IN 39713 2293 13 this this DT 39713 2293 14 first first JJ 39713 2293 15 problem problem NN 39713 2293 16 . . . 39713 2294 1 It -PRON- PRP 39713 2294 2 is be VBZ 39713 2294 3 otherwise otherwise RB 39713 2294 4 with with IN 39713 2294 5 the the DT 39713 2294 6 second second JJ 39713 2294 7 problem problem NN 39713 2294 8 . . . 39713 2295 1 Consider consider VB 39713 2295 2 the the DT 39713 2295 3 first first JJ 39713 2295 4 10,000 10,000 CD 39713 2295 5 logarithms logarithm NNS 39713 2295 6 that that WDT 39713 2295 7 we -PRON- PRP 39713 2295 8 find find VBP 39713 2295 9 in in IN 39713 2295 10 a a DT 39713 2295 11 table table NN 39713 2295 12 . . . 39713 2296 1 Among among IN 39713 2296 2 these these DT 39713 2296 3 10,000 10,000 CD 39713 2296 4 logarithms logarithm NNS 39713 2296 5 I -PRON- PRP 39713 2296 6 take take VBP 39713 2296 7 one one CD 39713 2296 8 at at IN 39713 2296 9 random random JJ 39713 2296 10 . . . 39713 2297 1 What what WP 39713 2297 2 is be VBZ 39713 2297 3 the the DT 39713 2297 4 probability probability NN 39713 2297 5 that that WDT 39713 2297 6 its -PRON- PRP$ 39713 2297 7 third third JJ 39713 2297 8 decimal decimal NN 39713 2297 9 is be VBZ 39713 2297 10 an an DT 39713 2297 11 even even JJ 39713 2297 12 number number NN 39713 2297 13 ? ? . 39713 2298 1 You -PRON- PRP 39713 2298 2 will will MD 39713 2298 3 not not RB 39713 2298 4 hesitate hesitate VB 39713 2298 5 to to TO 39713 2298 6 answer answer VB 39713 2298 7 1/2 1/2 CD 39713 2298 8 ; ; : 39713 2298 9 and and CC 39713 2298 10 in in IN 39713 2298 11 fact fact NN 39713 2298 12 if if IN 39713 2298 13 you -PRON- PRP 39713 2298 14 pick pick VBP 39713 2298 15 out out RP 39713 2298 16 in in IN 39713 2298 17 a a DT 39713 2298 18 table table NN 39713 2298 19 the the DT 39713 2298 20 third third JJ 39713 2298 21 decimals decimal NNS 39713 2298 22 of of IN 39713 2298 23 these these DT 39713 2298 24 10,000 10,000 CD 39713 2298 25 numbers number NNS 39713 2298 26 , , , 39713 2298 27 you -PRON- PRP 39713 2298 28 will will MD 39713 2298 29 find find VB 39713 2298 30 nearly nearly RB 39713 2298 31 as as RB 39713 2298 32 many many JJ 39713 2298 33 even even RB 39713 2298 34 digits digit VBZ 39713 2298 35 as as IN 39713 2298 36 odd odd JJ 39713 2298 37 . . . 39713 2299 1 Or or CC 39713 2299 2 if if IN 39713 2299 3 you -PRON- PRP 39713 2299 4 prefer prefer VBP 39713 2299 5 , , , 39713 2299 6 let let VB 39713 2299 7 us -PRON- PRP 39713 2299 8 write write VB 39713 2299 9 10,000 10,000 CD 39713 2299 10 numbers number NNS 39713 2299 11 corresponding correspond VBG 39713 2299 12 to to IN 39713 2299 13 our -PRON- PRP$ 39713 2299 14 10,000 10,000 CD 39713 2299 15 logarithms logarithm NNS 39713 2299 16 , , , 39713 2299 17 each each DT 39713 2299 18 of of IN 39713 2299 19 these these DT 39713 2299 20 numbers number NNS 39713 2299 21 being be VBG 39713 2299 22 +1 +1 NNS 39713 2299 23 if if IN 39713 2299 24 the the DT 39713 2299 25 third third JJ 39713 2299 26 decimal decimal NN 39713 2299 27 of of IN 39713 2299 28 the the DT 39713 2299 29 corresponding corresponding JJ 39713 2299 30 logarithm logarithm NN 39713 2299 31 is be VBZ 39713 2299 32 even even RB 39713 2299 33 , , , 39713 2299 34 and and CC 39713 2299 35 -1 -1 : 39713 2299 36 if if IN 39713 2299 37 odd odd JJ 39713 2299 38 . . . 39713 2300 1 Then then RB 39713 2300 2 take take VB 39713 2300 3 the the DT 39713 2300 4 mean mean NN 39713 2300 5 of of IN 39713 2300 6 these these DT 39713 2300 7 10,000 10,000 CD 39713 2300 8 numbers number NNS 39713 2300 9 . . . 39713 2301 1 I -PRON- PRP 39713 2301 2 do do VBP 39713 2301 3 not not RB 39713 2301 4 hesitate hesitate VB 39713 2301 5 to to TO 39713 2301 6 say say VB 39713 2301 7 that that IN 39713 2301 8 the the DT 39713 2301 9 mean mean NN 39713 2301 10 of of IN 39713 2301 11 these these DT 39713 2301 12 10,000 10,000 CD 39713 2301 13 numbers number NNS 39713 2301 14 is be VBZ 39713 2301 15 probably probably RB 39713 2301 16 0 0 CD 39713 2301 17 , , , 39713 2301 18 and and CC 39713 2301 19 if if IN 39713 2301 20 I -PRON- PRP 39713 2301 21 were be VBD 39713 2301 22 actually actually RB 39713 2301 23 to to TO 39713 2301 24 calculate calculate VB 39713 2301 25 it -PRON- PRP 39713 2301 26 I -PRON- PRP 39713 2301 27 should should MD 39713 2301 28 verify verify VB 39713 2301 29 that that IN 39713 2301 30 it -PRON- PRP 39713 2301 31 is be VBZ 39713 2301 32 extremely extremely RB 39713 2301 33 small small JJ 39713 2301 34 . . . 39713 2302 1 But but CC 39713 2302 2 even even RB 39713 2302 3 this this DT 39713 2302 4 verification verification NN 39713 2302 5 is be VBZ 39713 2302 6 needless needless JJ 39713 2302 7 . . . 39713 2303 1 I -PRON- PRP 39713 2303 2 might may MD 39713 2303 3 have have VB 39713 2303 4 rigorously rigorously RB 39713 2303 5 proved prove VBN 39713 2303 6 that that IN 39713 2303 7 this this DT 39713 2303 8 mean mean NN 39713 2303 9 is be VBZ 39713 2303 10 less less JJR 39713 2303 11 than than IN 39713 2303 12 0.003 0.003 CD 39713 2303 13 . . . 39713 2304 1 To to TO 39713 2304 2 prove prove VB 39713 2304 3 this this DT 39713 2304 4 result result NN 39713 2304 5 , , , 39713 2304 6 I -PRON- PRP 39713 2304 7 should should MD 39713 2304 8 have have VB 39713 2304 9 had have VBN 39713 2304 10 to to TO 39713 2304 11 make make VB 39713 2304 12 a a DT 39713 2304 13 rather rather RB 39713 2304 14 long long JJ 39713 2304 15 calculation calculation NN 39713 2304 16 for for IN 39713 2304 17 which which WDT 39713 2304 18 there there EX 39713 2304 19 is be VBZ 39713 2304 20 no no DT 39713 2304 21 room room NN 39713 2304 22 here here RB 39713 2304 23 , , , 39713 2304 24 and and CC 39713 2304 25 for for IN 39713 2304 26 which which WDT 39713 2304 27 I -PRON- PRP 39713 2304 28 confine confine VBP 39713 2304 29 myself -PRON- PRP 39713 2304 30 to to IN 39713 2304 31 citing cite VBG 39713 2304 32 an an DT 39713 2304 33 article article NN 39713 2304 34 I -PRON- PRP 39713 2304 35 published publish VBD 39713 2304 36 in in IN 39713 2304 37 the the DT 39713 2304 38 _ _ NNP 39713 2304 39 Revue Revue NNP 39713 2304 40 générale générale NN 39713 2304 41 des des NNP 39713 2304 42 Sciences Sciences NNPS 39713 2304 43 _ _ NNP 39713 2304 44 , , , 39713 2304 45 April April NNP 39713 2304 46 15 15 CD 39713 2304 47 , , , 39713 2304 48 1899 1899 CD 39713 2304 49 . . . 39713 2305 1 The the DT 39713 2305 2 only only JJ 39713 2305 3 point point NN 39713 2305 4 to to TO 39713 2305 5 which which WDT 39713 2305 6 I -PRON- PRP 39713 2305 7 wish wish VBP 39713 2305 8 to to TO 39713 2305 9 call call VB 39713 2305 10 attention attention NN 39713 2305 11 is be VBZ 39713 2305 12 the the DT 39713 2305 13 following follow VBG 39713 2305 14 : : : 39713 2305 15 in in IN 39713 2305 16 this this DT 39713 2305 17 calculation calculation NN 39713 2305 18 , , , 39713 2305 19 I -PRON- PRP 39713 2305 20 should should MD 39713 2305 21 have have VB 39713 2305 22 needed need VBN 39713 2305 23 only only RB 39713 2305 24 to to TO 39713 2305 25 rest rest VB 39713 2305 26 my -PRON- PRP$ 39713 2305 27 case case NN 39713 2305 28 on on IN 39713 2305 29 two two CD 39713 2305 30 facts fact NNS 39713 2305 31 , , , 39713 2305 32 to to IN 39713 2305 33 wit wit NN 39713 2305 34 , , , 39713 2305 35 that that IN 39713 2305 36 the the DT 39713 2305 37 first first JJ 39713 2305 38 and and CC 39713 2305 39 second second JJ 39713 2305 40 derivatives derivative NNS 39713 2305 41 of of IN 39713 2305 42 the the DT 39713 2305 43 logarithm logarithm NNP 39713 2305 44 remain remain VBP 39713 2305 45 , , , 39713 2305 46 in in IN 39713 2305 47 the the DT 39713 2305 48 interval interval NN 39713 2305 49 considered consider VBN 39713 2305 50 , , , 39713 2305 51 between between IN 39713 2305 52 certain certain JJ 39713 2305 53 limits limit NNS 39713 2305 54 . . . 39713 2306 1 Hence hence RB 39713 2306 2 this this DT 39713 2306 3 important important JJ 39713 2306 4 consequence consequence NN 39713 2306 5 that that IN 39713 2306 6 the the DT 39713 2306 7 property property NN 39713 2306 8 is be VBZ 39713 2306 9 true true JJ 39713 2306 10 not not RB 39713 2306 11 only only RB 39713 2306 12 of of IN 39713 2306 13 the the DT 39713 2306 14 logarithm logarithm NN 39713 2306 15 , , , 39713 2306 16 but but CC 39713 2306 17 of of IN 39713 2306 18 any any DT 39713 2306 19 continuous continuous JJ 39713 2306 20 function function NN 39713 2306 21 whatever whatever WDT 39713 2306 22 , , , 39713 2306 23 since since IN 39713 2306 24 the the DT 39713 2306 25 derivatives derivative NNS 39713 2306 26 of of IN 39713 2306 27 every every DT 39713 2306 28 continuous continuous JJ 39713 2306 29 function function NN 39713 2306 30 are be VBP 39713 2306 31 limited limit VBN 39713 2306 32 . . . 39713 2307 1 If if IN 39713 2307 2 I -PRON- PRP 39713 2307 3 was be VBD 39713 2307 4 certain certain JJ 39713 2307 5 beforehand beforehand RB 39713 2307 6 of of IN 39713 2307 7 the the DT 39713 2307 8 result result NN 39713 2307 9 , , , 39713 2307 10 it -PRON- PRP 39713 2307 11 is be VBZ 39713 2307 12 first first JJ 39713 2307 13 , , , 39713 2307 14 because because IN 39713 2307 15 I -PRON- PRP 39713 2307 16 had have VBD 39713 2307 17 often often RB 39713 2307 18 observed observe VBN 39713 2307 19 analogous analogous JJ 39713 2307 20 facts fact NNS 39713 2307 21 for for IN 39713 2307 22 other other JJ 39713 2307 23 continuous continuous JJ 39713 2307 24 functions function NNS 39713 2307 25 ; ; : 39713 2307 26 and and CC 39713 2307 27 next next RB 39713 2307 28 , , , 39713 2307 29 because because IN 39713 2307 30 I -PRON- PRP 39713 2307 31 made make VBD 39713 2307 32 in in IN 39713 2307 33 my -PRON- PRP$ 39713 2307 34 mind mind NN 39713 2307 35 , , , 39713 2307 36 in in IN 39713 2307 37 a a DT 39713 2307 38 more more RBR 39713 2307 39 or or CC 39713 2307 40 less less RBR 39713 2307 41 unconscious unconscious JJ 39713 2307 42 and and CC 39713 2307 43 imperfect imperfect JJ 39713 2307 44 manner manner NN 39713 2307 45 , , , 39713 2307 46 the the DT 39713 2307 47 reasoning reasoning NN 39713 2307 48 which which WDT 39713 2307 49 led lead VBD 39713 2307 50 me -PRON- PRP 39713 2307 51 to to IN 39713 2307 52 the the DT 39713 2307 53 preceding precede VBG 39713 2307 54 inequalities inequality NNS 39713 2307 55 , , , 39713 2307 56 just just RB 39713 2307 57 as as IN 39713 2307 58 a a DT 39713 2307 59 skilled skilled JJ 39713 2307 60 calculator calculator NN 39713 2307 61 before before IN 39713 2307 62 finishing finish VBG 39713 2307 63 his -PRON- PRP$ 39713 2307 64 multiplication multiplication NN 39713 2307 65 takes take VBZ 39713 2307 66 into into IN 39713 2307 67 account account NN 39713 2307 68 what what WP 39713 2307 69 it -PRON- PRP 39713 2307 70 should should MD 39713 2307 71 come come VB 39713 2307 72 to to TO 39713 2307 73 approximately approximately RB 39713 2307 74 . . . 39713 2308 1 And and CC 39713 2308 2 besides besides RB 39713 2308 3 , , , 39713 2308 4 since since IN 39713 2308 5 what what WP 39713 2308 6 I -PRON- PRP 39713 2308 7 call call VBP 39713 2308 8 my -PRON- PRP$ 39713 2308 9 intuition intuition NN 39713 2308 10 was be VBD 39713 2308 11 only only RB 39713 2308 12 an an DT 39713 2308 13 incomplete incomplete JJ 39713 2308 14 summary summary NN 39713 2308 15 of of IN 39713 2308 16 a a DT 39713 2308 17 piece piece NN 39713 2308 18 of of IN 39713 2308 19 true true JJ 39713 2308 20 reasoning reasoning NN 39713 2308 21 , , , 39713 2308 22 it -PRON- PRP 39713 2308 23 is be VBZ 39713 2308 24 clear clear JJ 39713 2308 25 why why WRB 39713 2308 26 observation observation NN 39713 2308 27 has have VBZ 39713 2308 28 confirmed confirm VBN 39713 2308 29 my -PRON- PRP$ 39713 2308 30 predictions prediction NNS 39713 2308 31 , , , 39713 2308 32 and and CC 39713 2308 33 why why WRB 39713 2308 34 the the DT 39713 2308 35 objective objective JJ 39713 2308 36 probability probability NN 39713 2308 37 has have VBZ 39713 2308 38 been be VBN 39713 2308 39 in in IN 39713 2308 40 agreement agreement NN 39713 2308 41 with with IN 39713 2308 42 the the DT 39713 2308 43 subjective subjective JJ 39713 2308 44 probability probability NN 39713 2308 45 . . . 39713 2309 1 As as IN 39713 2309 2 a a DT 39713 2309 3 third third JJ 39713 2309 4 example example NN 39713 2309 5 I -PRON- PRP 39713 2309 6 shall shall MD 39713 2309 7 choose choose VB 39713 2309 8 the the DT 39713 2309 9 following follow VBG 39713 2309 10 problem problem NN 39713 2309 11 : : : 39713 2309 12 A a DT 39713 2309 13 number number NN 39713 2309 14 _ _ NNP 39713 2309 15 u u NNP 39713 2309 16 _ _ NNP 39713 2309 17 is be VBZ 39713 2309 18 taken take VBN 39713 2309 19 at at IN 39713 2309 20 random random JJ 39713 2309 21 , , , 39713 2309 22 and and CC 39713 2309 23 _ _ NNP 39713 2309 24 n n CC 39713 2309 25 _ _ NNP 39713 2309 26 is be VBZ 39713 2309 27 a a DT 39713 2309 28 given give VBN 39713 2309 29 very very RB 39713 2309 30 large large JJ 39713 2309 31 integer integer NN 39713 2309 32 . . . 39713 2310 1 What what WP 39713 2310 2 is be VBZ 39713 2310 3 the the DT 39713 2310 4 probable probable JJ 39713 2310 5 value value NN 39713 2310 6 of of IN 39713 2310 7 sin sin NN 39713 2310 8 _ _ NNP 39713 2310 9 nu nu NNP 39713 2310 10 _ _ NNP 39713 2310 11 ? ? . 39713 2311 1 This this DT 39713 2311 2 problem problem NN 39713 2311 3 has have VBZ 39713 2311 4 no no DT 39713 2311 5 meaning meaning NN 39713 2311 6 by by IN 39713 2311 7 itself -PRON- PRP 39713 2311 8 . . . 39713 2312 1 To to TO 39713 2312 2 give give VB 39713 2312 3 it -PRON- PRP 39713 2312 4 one one CD 39713 2312 5 a a DT 39713 2312 6 convention convention NN 39713 2312 7 is be VBZ 39713 2312 8 needed need VBN 39713 2312 9 . . . 39713 2313 1 We -PRON- PRP 39713 2313 2 _ _ NNP 39713 2313 3 shall shall MD 39713 2313 4 agree agree VB 39713 2313 5 _ _ NNP 39713 2313 6 that that IN 39713 2313 7 the the DT 39713 2313 8 probability probability NN 39713 2313 9 for for IN 39713 2313 10 the the DT 39713 2313 11 number number NN 39713 2313 12 _ _ NNP 39713 2313 13 u u NNP 39713 2313 14 _ _ NNP 39713 2313 15 to to TO 39713 2313 16 lie lie VB 39713 2313 17 between between IN 39713 2313 18 _ _ NNP 39713 2313 19 a a DT 39713 2313 20 _ _ NNP 39713 2313 21 and and CC 39713 2313 22 _ _ NNP 39713 2313 23 a_+ a_+ NN 39713 2313 24 is be VBZ 39713 2313 25 equal equal JJ 39713 2313 26 to to IN 39713 2313 27 [ [ -LRB- 39713 2313 28 phi](_a_)_da phi](_a_)_da NNP 39713 2313 29 _ _ NNP 39713 2313 30 ; ; : 39713 2313 31 that that IN 39713 2313 32 it -PRON- PRP 39713 2313 33 is be VBZ 39713 2313 34 therefore therefore RB 39713 2313 35 proportional proportional JJ 39713 2313 36 to to IN 39713 2313 37 the the DT 39713 2313 38 infinitely infinitely RB 39713 2313 39 small small JJ 39713 2313 40 interval interval NN 39713 2313 41 _ _ NNP 39713 2313 42 da da NNP 39713 2313 43 _ _ NNP 39713 2313 44 , , , 39713 2313 45 and and CC 39713 2313 46 equal equal JJ 39713 2313 47 to to IN 39713 2313 48 this this DT 39713 2313 49 multiplied multiply VBN 39713 2313 50 by by IN 39713 2313 51 _ _ NNP 39713 2313 52 a a DT 39713 2313 53 _ _ NNP 39713 2313 54 function function NN 39713 2313 55 [ [ -LRB- 39713 2313 56 phi](_a phi](_a NNP 39713 2313 57 _ _ NNP 39713 2313 58 ) ) -RRB- 39713 2313 59 depending depend VBG 39713 2313 60 only only RB 39713 2313 61 on on IN 39713 2313 62 _ _ NNP 39713 2313 63 a a DT 39713 2313 64 _ _ NNP 39713 2313 65 . . . 39713 2314 1 As as IN 39713 2314 2 for for IN 39713 2314 3 this this DT 39713 2314 4 function function NN 39713 2314 5 , , , 39713 2314 6 I -PRON- PRP 39713 2314 7 choose choose VBP 39713 2314 8 it -PRON- PRP 39713 2314 9 arbitrarily arbitrarily RB 39713 2314 10 , , , 39713 2314 11 but but CC 39713 2314 12 I -PRON- PRP 39713 2314 13 must must MD 39713 2314 14 assume assume VB 39713 2314 15 it -PRON- PRP 39713 2314 16 to to TO 39713 2314 17 be be VB 39713 2314 18 continuous continuous JJ 39713 2314 19 . . . 39713 2315 1 The the DT 39713 2315 2 value value NN 39713 2315 3 of of IN 39713 2315 4 sin sin NN 39713 2315 5 _ _ NNP 39713 2315 6 nu nu NNP 39713 2315 7 _ _ NNP 39713 2315 8 remaining remain VBG 39713 2315 9 the the DT 39713 2315 10 same same JJ 39713 2315 11 when when WRB 39713 2315 12 _ _ NNP 39713 2315 13 u u NNP 39713 2315 14 _ _ NNP 39713 2315 15 increases increase VBZ 39713 2315 16 by by IN 39713 2315 17 2[pi 2[pi CD 39713 2315 18 ] ] -RRB- 39713 2315 19 , , , 39713 2315 20 I -PRON- PRP 39713 2315 21 may may MD 39713 2315 22 without without IN 39713 2315 23 loss loss NN 39713 2315 24 of of IN 39713 2315 25 generality generality NN 39713 2315 26 assume assume NN 39713 2315 27 that that IN 39713 2315 28 _ _ NNP 39713 2315 29 u u NNP 39713 2315 30 _ _ NNP 39713 2315 31 lies lie VBZ 39713 2315 32 between between IN 39713 2315 33 0 0 CD 39713 2315 34 and and CC 39713 2315 35 2[pi 2[pi CD 39713 2315 36 ] ] -RRB- 39713 2315 37 , , , 39713 2315 38 and and CC 39713 2315 39 I -PRON- PRP 39713 2315 40 shall shall MD 39713 2315 41 thus thus RB 39713 2315 42 be be VB 39713 2315 43 led lead VBN 39713 2315 44 to to TO 39713 2315 45 suppose suppose VB 39713 2315 46 that that IN 39713 2315 47 [ [ -LRB- 39713 2315 48 phi](_a phi](_a NNP 39713 2315 49 _ _ NNP 39713 2315 50 ) ) -RRB- 39713 2315 51 is be VBZ 39713 2315 52 a a DT 39713 2315 53 periodic periodic JJ 39713 2315 54 function function NN 39713 2315 55 whose whose WP$ 39713 2315 56 period period NN 39713 2315 57 is be VBZ 39713 2315 58 2[pi 2[pi CD 39713 2315 59 ] ] -RRB- 39713 2315 60 . . . 39713 2316 1 The the DT 39713 2316 2 probable probable JJ 39713 2316 3 value value NN 39713 2316 4 sought seek VBN 39713 2316 5 is be VBZ 39713 2316 6 readily readily RB 39713 2316 7 expressed express VBN 39713 2316 8 by by IN 39713 2316 9 a a DT 39713 2316 10 simple simple JJ 39713 2316 11 integral integral NN 39713 2316 12 , , , 39713 2316 13 and and CC 39713 2316 14 it -PRON- PRP 39713 2316 15 is be VBZ 39713 2316 16 easy easy JJ 39713 2316 17 to to TO 39713 2316 18 show show VB 39713 2316 19 that that IN 39713 2316 20 this this DT 39713 2316 21 integral integral NN 39713 2316 22 is be VBZ 39713 2316 23 less less JJR 39713 2316 24 than than IN 39713 2316 25 2[pi]M_{_k_}/_n_^{_k 2[pi]m_{_k_}/_n_^{_k CD 39713 2316 26 _ _ NNP 39713 2316 27 } } -RRB- 39713 2316 28 , , , 39713 2316 29 M_{_k M_{_k NNP 39713 2316 30 _ _ NNP 39713 2316 31 } } -RRB- 39713 2316 32 being be VBG 39713 2316 33 the the DT 39713 2316 34 maximum maximum JJ 39713 2316 35 value value NN 39713 2316 36 of of IN 39713 2316 37 the the DT 39713 2316 38 _ _ NNP 39713 2316 39 k_th k_th NNP 39713 2316 40 derivative derivative NN 39713 2316 41 of of IN 39713 2316 42 [ [ -LRB- 39713 2316 43 phi](_u phi](_u NNP 39713 2316 44 _ _ NNP 39713 2316 45 ) ) -RRB- 39713 2316 46 . . . 39713 2317 1 We -PRON- PRP 39713 2317 2 see see VBP 39713 2317 3 then then RB 39713 2317 4 that that IN 39713 2317 5 if if IN 39713 2317 6 the the DT 39713 2317 7 _ _ NNP 39713 2317 8 k_th k_th NNP 39713 2317 9 derivative derivative NN 39713 2317 10 is be VBZ 39713 2317 11 finite finite JJ 39713 2317 12 , , , 39713 2317 13 our -PRON- PRP$ 39713 2317 14 probable probable JJ 39713 2317 15 value value NN 39713 2317 16 will will MD 39713 2317 17 tend tend VB 39713 2317 18 toward toward IN 39713 2317 19 0 0 CD 39713 2317 20 when when WRB 39713 2317 21 _ _ NNP 39713 2317 22 n n CC 39713 2317 23 _ _ NNP 39713 2317 24 increases increase VBZ 39713 2317 25 indefinitely indefinitely RB 39713 2317 26 , , , 39713 2317 27 and and CC 39713 2317 28 that that IN 39713 2317 29 more more RBR 39713 2317 30 rapidly rapidly RB 39713 2317 31 than than IN 39713 2317 32 1/_n_^{_k 1/_n_^{_k NNP 39713 2317 33 _ _ NNP 39713 2317 34 - - HYPH 39713 2317 35 1 1 NNP 39713 2317 36 } } -RRB- 39713 2317 37 . . . 39713 2318 1 The the DT 39713 2318 2 probable probable JJ 39713 2318 3 value value NN 39713 2318 4 of of IN 39713 2318 5 sin sin NN 39713 2318 6 _ _ NNP 39713 2318 7 nu nu NNP 39713 2318 8 _ _ NNP 39713 2318 9 when when WRB 39713 2318 10 _ _ NNP 39713 2318 11 n n CC 39713 2318 12 _ _ NNP 39713 2318 13 is be VBZ 39713 2318 14 very very RB 39713 2318 15 large large JJ 39713 2318 16 is be VBZ 39713 2318 17 therefore therefore RB 39713 2318 18 naught naught JJ 39713 2318 19 . . . 39713 2319 1 To to TO 39713 2319 2 define define VB 39713 2319 3 this this DT 39713 2319 4 value value NN 39713 2319 5 I -PRON- PRP 39713 2319 6 required require VBD 39713 2319 7 a a DT 39713 2319 8 convention convention NN 39713 2319 9 ; ; : 39713 2319 10 but but CC 39713 2319 11 the the DT 39713 2319 12 result result NN 39713 2319 13 remains remain VBZ 39713 2319 14 the the DT 39713 2319 15 same same JJ 39713 2319 16 _ _ NNP 39713 2319 17 whatever whatever WDT 39713 2319 18 that that DT 39713 2319 19 convention convention NN 39713 2319 20 may may MD 39713 2319 21 be be VB 39713 2319 22 _ _ NNP 39713 2319 23 . . . 39713 2320 1 I -PRON- PRP 39713 2320 2 have have VBP 39713 2320 3 imposed impose VBN 39713 2320 4 upon upon IN 39713 2320 5 myself -PRON- PRP 39713 2320 6 only only RB 39713 2320 7 slight slight JJ 39713 2320 8 restrictions restriction NNS 39713 2320 9 in in IN 39713 2320 10 assuming assume VBG 39713 2320 11 that that IN 39713 2320 12 the the DT 39713 2320 13 function function NN 39713 2320 14 [ [ -LRB- 39713 2320 15 phi](_a phi](_a NNP 39713 2320 16 _ _ NNP 39713 2320 17 ) ) -RRB- 39713 2320 18 is be VBZ 39713 2320 19 continuous continuous JJ 39713 2320 20 and and CC 39713 2320 21 periodic periodic JJ 39713 2320 22 , , , 39713 2320 23 and and CC 39713 2320 24 these these DT 39713 2320 25 hypotheses hypothesis NNS 39713 2320 26 are be VBP 39713 2320 27 so so RB 39713 2320 28 natural natural JJ 39713 2320 29 that that IN 39713 2320 30 we -PRON- PRP 39713 2320 31 may may MD 39713 2320 32 ask ask VB 39713 2320 33 ourselves -PRON- PRP 39713 2320 34 how how WRB 39713 2320 35 they -PRON- PRP 39713 2320 36 can can MD 39713 2320 37 be be VB 39713 2320 38 escaped escape VBN 39713 2320 39 . . . 39713 2321 1 Examination examination NN 39713 2321 2 of of IN 39713 2321 3 the the DT 39713 2321 4 three three CD 39713 2321 5 preceding precede VBG 39713 2321 6 examples example NNS 39713 2321 7 , , , 39713 2321 8 so so RB 39713 2321 9 different different JJ 39713 2321 10 in in IN 39713 2321 11 all all DT 39713 2321 12 respects respect NNS 39713 2321 13 , , , 39713 2321 14 has have VBZ 39713 2321 15 already already RB 39713 2321 16 given give VBN 39713 2321 17 us -PRON- PRP 39713 2321 18 a a DT 39713 2321 19 glimpse glimpse NN 39713 2321 20 , , , 39713 2321 21 on on IN 39713 2321 22 the the DT 39713 2321 23 one one CD 39713 2321 24 hand hand NN 39713 2321 25 , , , 39713 2321 26 of of IN 39713 2321 27 the the DT 39713 2321 28 rôle rôle NN 39713 2321 29 of of IN 39713 2321 30 what what WP 39713 2321 31 philosophers philosopher NNS 39713 2321 32 call call VBP 39713 2321 33 the the DT 39713 2321 34 principle principle NN 39713 2321 35 of of IN 39713 2321 36 sufficient sufficient JJ 39713 2321 37 reason reason NN 39713 2321 38 , , , 39713 2321 39 and and CC 39713 2321 40 , , , 39713 2321 41 on on IN 39713 2321 42 the the DT 39713 2321 43 other other JJ 39713 2321 44 hand hand NN 39713 2321 45 , , , 39713 2321 46 of of IN 39713 2321 47 the the DT 39713 2321 48 importance importance NN 39713 2321 49 of of IN 39713 2321 50 the the DT 39713 2321 51 fact fact NN 39713 2321 52 that that IN 39713 2321 53 certain certain JJ 39713 2321 54 properties property NNS 39713 2321 55 are be VBP 39713 2321 56 common common JJ 39713 2321 57 to to IN 39713 2321 58 all all DT 39713 2321 59 continuous continuous JJ 39713 2321 60 functions function NNS 39713 2321 61 . . . 39713 2322 1 The the DT 39713 2322 2 study study NN 39713 2322 3 of of IN 39713 2322 4 probability probability NN 39713 2322 5 in in IN 39713 2322 6 the the DT 39713 2322 7 physical physical JJ 39713 2322 8 sciences science NNS 39713 2322 9 will will MD 39713 2322 10 lead lead VB 39713 2322 11 us -PRON- PRP 39713 2322 12 to to IN 39713 2322 13 the the DT 39713 2322 14 same same JJ 39713 2322 15 result result NN 39713 2322 16 . . . 39713 2323 1 III iii CD 39713 2323 2 . . . 39713 2324 1 PROBABILITY PROBABILITY NNS 39713 2324 2 IN in IN 39713 2324 3 THE the DT 39713 2324 4 PHYSICAL PHYSICAL NNS 39713 2324 5 SCIENCES.--We sciences.--we NN 39713 2324 6 come come VB 39713 2324 7 now now RB 39713 2324 8 to to IN 39713 2324 9 the the DT 39713 2324 10 problems problem NNS 39713 2324 11 connected connect VBN 39713 2324 12 with with IN 39713 2324 13 what what WP 39713 2324 14 I -PRON- PRP 39713 2324 15 have have VBP 39713 2324 16 called call VBN 39713 2324 17 the the DT 39713 2324 18 second second JJ 39713 2324 19 degree degree NN 39713 2324 20 of of IN 39713 2324 21 ignorance ignorance NN 39713 2324 22 , , , 39713 2324 23 those those DT 39713 2324 24 , , , 39713 2324 25 namely namely RB 39713 2324 26 , , , 39713 2324 27 in in IN 39713 2324 28 which which WDT 39713 2324 29 we -PRON- PRP 39713 2324 30 know know VBP 39713 2324 31 the the DT 39713 2324 32 law law NN 39713 2324 33 , , , 39713 2324 34 but but CC 39713 2324 35 do do VBP 39713 2324 36 not not RB 39713 2324 37 know know VB 39713 2324 38 the the DT 39713 2324 39 initial initial JJ 39713 2324 40 state state NN 39713 2324 41 of of IN 39713 2324 42 the the DT 39713 2324 43 system system NN 39713 2324 44 . . . 39713 2325 1 I -PRON- PRP 39713 2325 2 could could MD 39713 2325 3 multiply multiply VB 39713 2325 4 examples example NNS 39713 2325 5 , , , 39713 2325 6 but but CC 39713 2325 7 will will MD 39713 2325 8 take take VB 39713 2325 9 only only RB 39713 2325 10 one one CD 39713 2325 11 . . . 39713 2326 1 What what WP 39713 2326 2 is be VBZ 39713 2326 3 the the DT 39713 2326 4 probable probable JJ 39713 2326 5 present present JJ 39713 2326 6 distribution distribution NN 39713 2326 7 of of IN 39713 2326 8 the the DT 39713 2326 9 minor minor JJ 39713 2326 10 planets planet NNS 39713 2326 11 on on IN 39713 2326 12 the the DT 39713 2326 13 zodiac zodiac NN 39713 2326 14 ? ? . 39713 2327 1 We -PRON- PRP 39713 2327 2 know know VBP 39713 2327 3 they -PRON- PRP 39713 2327 4 obey obey VBP 39713 2327 5 the the DT 39713 2327 6 laws law NNS 39713 2327 7 of of IN 39713 2327 8 Kepler Kepler NNP 39713 2327 9 . . . 39713 2328 1 We -PRON- PRP 39713 2328 2 may may MD 39713 2328 3 even even RB 39713 2328 4 , , , 39713 2328 5 without without IN 39713 2328 6 at at RB 39713 2328 7 all all RB 39713 2328 8 changing change VBG 39713 2328 9 the the DT 39713 2328 10 nature nature NN 39713 2328 11 of of IN 39713 2328 12 the the DT 39713 2328 13 problem problem NN 39713 2328 14 , , , 39713 2328 15 suppose suppose VBP 39713 2328 16 that that IN 39713 2328 17 their -PRON- PRP$ 39713 2328 18 orbits orbit NNS 39713 2328 19 are be VBP 39713 2328 20 all all RB 39713 2328 21 circular circular JJ 39713 2328 22 , , , 39713 2328 23 and and CC 39713 2328 24 situated situate VBN 39713 2328 25 in in IN 39713 2328 26 the the DT 39713 2328 27 same same JJ 39713 2328 28 plane plane NN 39713 2328 29 , , , 39713 2328 30 and and CC 39713 2328 31 that that IN 39713 2328 32 we -PRON- PRP 39713 2328 33 know know VBP 39713 2328 34 this this DT 39713 2328 35 plane plane NN 39713 2328 36 . . . 39713 2329 1 On on IN 39713 2329 2 the the DT 39713 2329 3 other other JJ 39713 2329 4 hand hand NN 39713 2329 5 , , , 39713 2329 6 we -PRON- PRP 39713 2329 7 are be VBP 39713 2329 8 in in IN 39713 2329 9 absolute absolute JJ 39713 2329 10 ignorance ignorance NN 39713 2329 11 as as IN 39713 2329 12 to to IN 39713 2329 13 what what WP 39713 2329 14 was be VBD 39713 2329 15 their -PRON- PRP$ 39713 2329 16 initial initial JJ 39713 2329 17 distribution distribution NN 39713 2329 18 . . . 39713 2330 1 However however RB 39713 2330 2 , , , 39713 2330 3 we -PRON- PRP 39713 2330 4 do do VBP 39713 2330 5 not not RB 39713 2330 6 hesitate hesitate VB 39713 2330 7 to to TO 39713 2330 8 affirm affirm VB 39713 2330 9 that that IN 39713 2330 10 their -PRON- PRP$ 39713 2330 11 distribution distribution NN 39713 2330 12 is be VBZ 39713 2330 13 now now RB 39713 2330 14 nearly nearly RB 39713 2330 15 uniform uniform JJ 39713 2330 16 . . . 39713 2331 1 Why why WRB 39713 2331 2 ? ? . 39713 2332 1 Let let VB 39713 2332 2 _ _ NNP 39713 2332 3 b b NNP 39713 2332 4 _ _ NNP 39713 2332 5 be be VB 39713 2332 6 the the DT 39713 2332 7 longitude longitude NN 39713 2332 8 of of IN 39713 2332 9 a a DT 39713 2332 10 minor minor JJ 39713 2332 11 planet planet NN 39713 2332 12 in in IN 39713 2332 13 the the DT 39713 2332 14 initial initial JJ 39713 2332 15 epoch epoch NN 39713 2332 16 , , , 39713 2332 17 that that DT 39713 2332 18 is be VBZ 39713 2332 19 to to TO 39713 2332 20 say say VB 39713 2332 21 , , , 39713 2332 22 the the DT 39713 2332 23 epoch epoch NNP 39713 2332 24 zero zero CD 39713 2332 25 . . . 39713 2333 1 Let let VB 39713 2333 2 _ _ NNP 39713 2333 3 a a DT 39713 2333 4 _ _ NNP 39713 2333 5 be be VB 39713 2333 6 its -PRON- PRP$ 39713 2333 7 mean mean JJ 39713 2333 8 motion motion NN 39713 2333 9 . . . 39713 2334 1 Its -PRON- PRP$ 39713 2334 2 longitude longitude NN 39713 2334 3 at at IN 39713 2334 4 the the DT 39713 2334 5 present present JJ 39713 2334 6 epoch epoch NN 39713 2334 7 , , , 39713 2334 8 that that DT 39713 2334 9 is be VBZ 39713 2334 10 to to TO 39713 2334 11 say say VB 39713 2334 12 at at IN 39713 2334 13 the the DT 39713 2334 14 epoch epoch NN 39713 2334 15 _ _ NNP 39713 2334 16 t t NNP 39713 2334 17 _ _ NNP 39713 2334 18 , , , 39713 2334 19 will will MD 39713 2334 20 be be VB 39713 2334 21 _ _ NNP 39713 2334 22 at at IN 39713 2334 23 _ _ NNP 39713 2334 24 + + NNP 39713 2334 25 _ _ NNP 39713 2334 26 b b NNP 39713 2334 27 _ _ NNP 39713 2334 28 . . . 39713 2335 1 To to TO 39713 2335 2 say say VB 39713 2335 3 that that IN 39713 2335 4 the the DT 39713 2335 5 present present JJ 39713 2335 6 distribution distribution NN 39713 2335 7 is be VBZ 39713 2335 8 uniform uniform JJ 39713 2335 9 is be VBZ 39713 2335 10 to to TO 39713 2335 11 say say VB 39713 2335 12 that that IN 39713 2335 13 the the DT 39713 2335 14 mean mean JJ 39713 2335 15 value value NN 39713 2335 16 of of IN 39713 2335 17 the the DT 39713 2335 18 sines sine NNS 39713 2335 19 and and CC 39713 2335 20 cosines cosine NNS 39713 2335 21 of of IN 39713 2335 22 multiples multiple NNS 39713 2335 23 of of IN 39713 2335 24 _ _ NNP 39713 2335 25 at at IN 39713 2335 26 _ _ NNP 39713 2335 27 + + NNP 39713 2335 28 _ _ NNP 39713 2335 29 b b NNP 39713 2335 30 _ _ NNP 39713 2335 31 is be VBZ 39713 2335 32 zero zero CD 39713 2335 33 . . . 39713 2336 1 Why why WRB 39713 2336 2 do do VBP 39713 2336 3 we -PRON- PRP 39713 2336 4 assert assert VB 39713 2336 5 this this DT 39713 2336 6 ? ? . 39713 2337 1 Let let VB 39713 2337 2 us -PRON- PRP 39713 2337 3 represent represent VB 39713 2337 4 each each DT 39713 2337 5 minor minor JJ 39713 2337 6 planet planet NN 39713 2337 7 by by IN 39713 2337 8 a a DT 39713 2337 9 point point NN 39713 2337 10 in in IN 39713 2337 11 a a DT 39713 2337 12 plane plane NN 39713 2337 13 , , , 39713 2337 14 to to IN 39713 2337 15 wit wit NN 39713 2337 16 , , , 39713 2337 17 by by IN 39713 2337 18 a a DT 39713 2337 19 point point NN 39713 2337 20 whose whose WP$ 39713 2337 21 coordinates coordinate NNS 39713 2337 22 are be VBP 39713 2337 23 precisely precisely RB 39713 2337 24 _ _ NNP 39713 2337 25 a a DT 39713 2337 26 _ _ NNP 39713 2337 27 and and CC 39713 2337 28 _ _ NNP 39713 2337 29 b b NNP 39713 2337 30 _ _ NNP 39713 2337 31 . . . 39713 2338 1 All all PDT 39713 2338 2 these these DT 39713 2338 3 representative representative JJ 39713 2338 4 points point NNS 39713 2338 5 will will MD 39713 2338 6 be be VB 39713 2338 7 contained contain VBN 39713 2338 8 in in IN 39713 2338 9 a a DT 39713 2338 10 certain certain JJ 39713 2338 11 region region NN 39713 2338 12 of of IN 39713 2338 13 the the DT 39713 2338 14 plane plane NN 39713 2338 15 , , , 39713 2338 16 but but CC 39713 2338 17 as as IN 39713 2338 18 they -PRON- PRP 39713 2338 19 are be VBP 39713 2338 20 very very RB 39713 2338 21 numerous numerous JJ 39713 2338 22 this this DT 39713 2338 23 region region NN 39713 2338 24 will will MD 39713 2338 25 appear appear VB 39713 2338 26 dotted dotted JJ 39713 2338 27 with with IN 39713 2338 28 points point NNS 39713 2338 29 . . . 39713 2339 1 We -PRON- PRP 39713 2339 2 know know VBP 39713 2339 3 nothing nothing NN 39713 2339 4 else else RB 39713 2339 5 about about IN 39713 2339 6 the the DT 39713 2339 7 distribution distribution NN 39713 2339 8 of of IN 39713 2339 9 these these DT 39713 2339 10 points point NNS 39713 2339 11 . . . 39713 2340 1 What what WP 39713 2340 2 do do VBP 39713 2340 3 we -PRON- PRP 39713 2340 4 do do VB 39713 2340 5 when when WRB 39713 2340 6 we -PRON- PRP 39713 2340 7 wish wish VBP 39713 2340 8 to to TO 39713 2340 9 apply apply VB 39713 2340 10 the the DT 39713 2340 11 calculus calculus NN 39713 2340 12 of of IN 39713 2340 13 probabilities probability NNS 39713 2340 14 to to IN 39713 2340 15 such such PDT 39713 2340 16 a a DT 39713 2340 17 question question NN 39713 2340 18 ? ? . 39713 2341 1 What what WP 39713 2341 2 is be VBZ 39713 2341 3 the the DT 39713 2341 4 probability probability NN 39713 2341 5 that that IN 39713 2341 6 one one CD 39713 2341 7 or or CC 39713 2341 8 more more JJR 39713 2341 9 representative representative JJ 39713 2341 10 points point NNS 39713 2341 11 may may MD 39713 2341 12 be be VB 39713 2341 13 found find VBN 39713 2341 14 in in IN 39713 2341 15 a a DT 39713 2341 16 certain certain JJ 39713 2341 17 portion portion NN 39713 2341 18 of of IN 39713 2341 19 the the DT 39713 2341 20 plane plane NN 39713 2341 21 ? ? . 39713 2342 1 In in IN 39713 2342 2 our -PRON- PRP$ 39713 2342 3 ignorance ignorance NN 39713 2342 4 , , , 39713 2342 5 we -PRON- PRP 39713 2342 6 are be VBP 39713 2342 7 reduced reduce VBN 39713 2342 8 to to IN 39713 2342 9 making make VBG 39713 2342 10 an an DT 39713 2342 11 arbitrary arbitrary JJ 39713 2342 12 hypothesis hypothesis NN 39713 2342 13 . . . 39713 2343 1 To to TO 39713 2343 2 explain explain VB 39713 2343 3 the the DT 39713 2343 4 nature nature NN 39713 2343 5 of of IN 39713 2343 6 this this DT 39713 2343 7 hypothesis hypothesis NN 39713 2343 8 , , , 39713 2343 9 allow allow VB 39713 2343 10 me -PRON- PRP 39713 2343 11 to to TO 39713 2343 12 use use VB 39713 2343 13 , , , 39713 2343 14 in in IN 39713 2343 15 lieu lieu NN 39713 2343 16 of of IN 39713 2343 17 a a DT 39713 2343 18 mathematical mathematical JJ 39713 2343 19 formula formula NN 39713 2343 20 , , , 39713 2343 21 a a DT 39713 2343 22 crude crude NN 39713 2343 23 but but CC 39713 2343 24 concrete concrete JJ 39713 2343 25 image image NN 39713 2343 26 . . . 39713 2344 1 Let let VB 39713 2344 2 us -PRON- PRP 39713 2344 3 suppose suppose VB 39713 2344 4 that that IN 39713 2344 5 over over IN 39713 2344 6 the the DT 39713 2344 7 surface surface NN 39713 2344 8 of of IN 39713 2344 9 our -PRON- PRP$ 39713 2344 10 plane plane NN 39713 2344 11 has have VBZ 39713 2344 12 been be VBN 39713 2344 13 spread spread VBN 39713 2344 14 an an DT 39713 2344 15 imaginary imaginary JJ 39713 2344 16 substance substance NN 39713 2344 17 , , , 39713 2344 18 whose whose WP$ 39713 2344 19 density density NN 39713 2344 20 is be VBZ 39713 2344 21 variable variable JJ 39713 2344 22 , , , 39713 2344 23 but but CC 39713 2344 24 varies vary VBZ 39713 2344 25 continuously continuously RB 39713 2344 26 . . . 39713 2345 1 We -PRON- PRP 39713 2345 2 shall shall MD 39713 2345 3 then then RB 39713 2345 4 agree agree VB 39713 2345 5 to to TO 39713 2345 6 say say VB 39713 2345 7 that that IN 39713 2345 8 the the DT 39713 2345 9 probable probable JJ 39713 2345 10 number number NN 39713 2345 11 of of IN 39713 2345 12 representative representative JJ 39713 2345 13 points point NNS 39713 2345 14 to to TO 39713 2345 15 be be VB 39713 2345 16 found find VBN 39713 2345 17 on on IN 39713 2345 18 a a DT 39713 2345 19 portion portion NN 39713 2345 20 of of IN 39713 2345 21 the the DT 39713 2345 22 plane plane NN 39713 2345 23 is be VBZ 39713 2345 24 proportional proportional JJ 39713 2345 25 to to IN 39713 2345 26 the the DT 39713 2345 27 quantity quantity NN 39713 2345 28 of of IN 39713 2345 29 fictitious fictitious JJ 39713 2345 30 matter matter NN 39713 2345 31 found find VBD 39713 2345 32 there there RB 39713 2345 33 . . . 39713 2346 1 If if IN 39713 2346 2 we -PRON- PRP 39713 2346 3 have have VBP 39713 2346 4 then then RB 39713 2346 5 two two CD 39713 2346 6 regions region NNS 39713 2346 7 of of IN 39713 2346 8 the the DT 39713 2346 9 plane plane NN 39713 2346 10 of of IN 39713 2346 11 the the DT 39713 2346 12 same same JJ 39713 2346 13 extent extent NN 39713 2346 14 , , , 39713 2346 15 the the DT 39713 2346 16 probabilities probability NNS 39713 2346 17 that that WDT 39713 2346 18 a a DT 39713 2346 19 representative representative JJ 39713 2346 20 point point NN 39713 2346 21 of of IN 39713 2346 22 one one CD 39713 2346 23 of of IN 39713 2346 24 our -PRON- PRP$ 39713 2346 25 minor minor JJ 39713 2346 26 planets planet NNS 39713 2346 27 is be VBZ 39713 2346 28 found find VBN 39713 2346 29 in in IN 39713 2346 30 one one CD 39713 2346 31 or or CC 39713 2346 32 the the DT 39713 2346 33 other other JJ 39713 2346 34 of of IN 39713 2346 35 these these DT 39713 2346 36 regions region NNS 39713 2346 37 will will MD 39713 2346 38 be be VB 39713 2346 39 to to IN 39713 2346 40 one one CD 39713 2346 41 another another DT 39713 2346 42 as as IN 39713 2346 43 the the DT 39713 2346 44 mean mean JJ 39713 2346 45 densities density NNS 39713 2346 46 of of IN 39713 2346 47 the the DT 39713 2346 48 fictitious fictitious JJ 39713 2346 49 matter matter NN 39713 2346 50 in in IN 39713 2346 51 the the DT 39713 2346 52 one one NN 39713 2346 53 and and CC 39713 2346 54 the the DT 39713 2346 55 other other JJ 39713 2346 56 region region NN 39713 2346 57 . . . 39713 2347 1 Here here RB 39713 2347 2 then then RB 39713 2347 3 are be VBP 39713 2347 4 two two CD 39713 2347 5 distributions distribution NNS 39713 2347 6 , , , 39713 2347 7 one one CD 39713 2347 8 real real JJ 39713 2347 9 , , , 39713 2347 10 in in IN 39713 2347 11 which which WDT 39713 2347 12 the the DT 39713 2347 13 representative representative JJ 39713 2347 14 points point NNS 39713 2347 15 are be VBP 39713 2347 16 very very RB 39713 2347 17 numerous numerous JJ 39713 2347 18 , , , 39713 2347 19 very very RB 39713 2347 20 close close JJ 39713 2347 21 together together RB 39713 2347 22 , , , 39713 2347 23 but but CC 39713 2347 24 discrete discrete VB 39713 2347 25 like like IN 39713 2347 26 the the DT 39713 2347 27 molecules molecule NNS 39713 2347 28 of of IN 39713 2347 29 matter matter NN 39713 2347 30 in in IN 39713 2347 31 the the DT 39713 2347 32 atomic atomic JJ 39713 2347 33 hypothesis hypothesis NN 39713 2347 34 ; ; : 39713 2347 35 the the DT 39713 2347 36 other other JJ 39713 2347 37 remote remote NN 39713 2347 38 from from IN 39713 2347 39 reality reality NN 39713 2347 40 , , , 39713 2347 41 in in IN 39713 2347 42 which which WDT 39713 2347 43 our -PRON- PRP$ 39713 2347 44 representative representative JJ 39713 2347 45 points point NNS 39713 2347 46 are be VBP 39713 2347 47 replaced replace VBN 39713 2347 48 by by IN 39713 2347 49 continuous continuous JJ 39713 2347 50 fictitious fictitious JJ 39713 2347 51 matter matter NN 39713 2347 52 . . . 39713 2348 1 We -PRON- PRP 39713 2348 2 know know VBP 39713 2348 3 that that IN 39713 2348 4 the the DT 39713 2348 5 latter latter JJ 39713 2348 6 can can MD 39713 2348 7 not not RB 39713 2348 8 be be VB 39713 2348 9 real real JJ 39713 2348 10 , , , 39713 2348 11 but but CC 39713 2348 12 our -PRON- PRP$ 39713 2348 13 ignorance ignorance NN 39713 2348 14 forces force VBZ 39713 2348 15 us -PRON- PRP 39713 2348 16 to to TO 39713 2348 17 adopt adopt VB 39713 2348 18 it -PRON- PRP 39713 2348 19 . . . 39713 2349 1 If if IN 39713 2349 2 again again RB 39713 2349 3 we -PRON- PRP 39713 2349 4 had have VBD 39713 2349 5 some some DT 39713 2349 6 idea idea NN 39713 2349 7 of of IN 39713 2349 8 the the DT 39713 2349 9 real real JJ 39713 2349 10 distribution distribution NN 39713 2349 11 of of IN 39713 2349 12 the the DT 39713 2349 13 representative representative JJ 39713 2349 14 points point NNS 39713 2349 15 , , , 39713 2349 16 we -PRON- PRP 39713 2349 17 could could MD 39713 2349 18 arrange arrange VB 39713 2349 19 it -PRON- PRP 39713 2349 20 so so IN 39713 2349 21 that that IN 39713 2349 22 in in IN 39713 2349 23 a a DT 39713 2349 24 region region NN 39713 2349 25 of of IN 39713 2349 26 some some DT 39713 2349 27 extent extent NN 39713 2349 28 the the DT 39713 2349 29 density density NN 39713 2349 30 of of IN 39713 2349 31 this this DT 39713 2349 32 imaginary imaginary JJ 39713 2349 33 continuous continuous JJ 39713 2349 34 matter matter NN 39713 2349 35 would would MD 39713 2349 36 be be VB 39713 2349 37 nearly nearly RB 39713 2349 38 proportional proportional JJ 39713 2349 39 to to IN 39713 2349 40 the the DT 39713 2349 41 number number NN 39713 2349 42 of of IN 39713 2349 43 the the DT 39713 2349 44 representative representative JJ 39713 2349 45 points point NNS 39713 2349 46 , , , 39713 2349 47 or or CC 39713 2349 48 , , , 39713 2349 49 if if IN 39713 2349 50 you -PRON- PRP 39713 2349 51 wish wish VBP 39713 2349 52 , , , 39713 2349 53 to to IN 39713 2349 54 the the DT 39713 2349 55 number number NN 39713 2349 56 of of IN 39713 2349 57 atoms atom NNS 39713 2349 58 which which WDT 39713 2349 59 are be VBP 39713 2349 60 contained contain VBN 39713 2349 61 in in IN 39713 2349 62 that that DT 39713 2349 63 region region NN 39713 2349 64 . . . 39713 2350 1 Even even RB 39713 2350 2 that that DT 39713 2350 3 is be VBZ 39713 2350 4 impossible impossible JJ 39713 2350 5 , , , 39713 2350 6 and and CC 39713 2350 7 our -PRON- PRP$ 39713 2350 8 ignorance ignorance NN 39713 2350 9 is be VBZ 39713 2350 10 so so RB 39713 2350 11 great great JJ 39713 2350 12 that that IN 39713 2350 13 we -PRON- PRP 39713 2350 14 are be VBP 39713 2350 15 forced force VBN 39713 2350 16 to to TO 39713 2350 17 choose choose VB 39713 2350 18 arbitrarily arbitrarily RB 39713 2350 19 the the DT 39713 2350 20 function function NN 39713 2350 21 which which WDT 39713 2350 22 defines define VBZ 39713 2350 23 the the DT 39713 2350 24 density density NN 39713 2350 25 of of IN 39713 2350 26 our -PRON- PRP$ 39713 2350 27 imaginary imaginary JJ 39713 2350 28 matter matter NN 39713 2350 29 . . . 39713 2351 1 Only only RB 39713 2351 2 we -PRON- PRP 39713 2351 3 shall shall MD 39713 2351 4 be be VB 39713 2351 5 forced force VBN 39713 2351 6 to to IN 39713 2351 7 a a DT 39713 2351 8 hypothesis hypothesis NN 39713 2351 9 from from IN 39713 2351 10 which which WDT 39713 2351 11 we -PRON- PRP 39713 2351 12 can can MD 39713 2351 13 hardly hardly RB 39713 2351 14 get get VB 39713 2351 15 away away RB 39713 2351 16 , , , 39713 2351 17 we -PRON- PRP 39713 2351 18 shall shall MD 39713 2351 19 suppose suppose VB 39713 2351 20 that that IN 39713 2351 21 this this DT 39713 2351 22 function function NN 39713 2351 23 is be VBZ 39713 2351 24 continuous continuous JJ 39713 2351 25 . . . 39713 2352 1 That that DT 39713 2352 2 is be VBZ 39713 2352 3 sufficient sufficient JJ 39713 2352 4 , , , 39713 2352 5 as as IN 39713 2352 6 we -PRON- PRP 39713 2352 7 shall shall MD 39713 2352 8 see see VB 39713 2352 9 , , , 39713 2352 10 to to TO 39713 2352 11 enable enable VB 39713 2352 12 us -PRON- PRP 39713 2352 13 to to TO 39713 2352 14 reach reach VB 39713 2352 15 a a DT 39713 2352 16 conclusion conclusion NN 39713 2352 17 . . . 39713 2353 1 What what WP 39713 2353 2 is be VBZ 39713 2353 3 at at IN 39713 2353 4 the the DT 39713 2353 5 instant instant NN 39713 2353 6 _ _ NNP 39713 2353 7 t t NNP 39713 2353 8 _ _ NNP 39713 2353 9 the the DT 39713 2353 10 probable probable JJ 39713 2353 11 distribution distribution NN 39713 2353 12 of of IN 39713 2353 13 the the DT 39713 2353 14 minor minor JJ 39713 2353 15 planets planet NNS 39713 2353 16 ? ? . 39713 2354 1 Or or CC 39713 2354 2 rather rather RB 39713 2354 3 what what WP 39713 2354 4 is be VBZ 39713 2354 5 the the DT 39713 2354 6 probable probable JJ 39713 2354 7 value value NN 39713 2354 8 of of IN 39713 2354 9 the the DT 39713 2354 10 sine sine NN 39713 2354 11 of of IN 39713 2354 12 the the DT 39713 2354 13 longitude longitude NN 39713 2354 14 at at IN 39713 2354 15 the the DT 39713 2354 16 instant instant NN 39713 2354 17 _ _ NNP 39713 2354 18 t t NNP 39713 2354 19 _ _ NNP 39713 2354 20 , , , 39713 2354 21 that that DT 39713 2354 22 is be VBZ 39713 2354 23 to to TO 39713 2354 24 say say VB 39713 2354 25 of of IN 39713 2354 26 sin sin NN 39713 2354 27 ( ( -LRB- 39713 2354 28 _ _ NNP 39713 2354 29 at at IN 39713 2354 30 _ _ NNP 39713 2354 31 + + NNP 39713 2354 32 _ _ NNP 39713 2354 33 b b NNP 39713 2354 34 _ _ NNP 39713 2354 35 ) ) -RRB- 39713 2354 36 ? ? . 39713 2355 1 We -PRON- PRP 39713 2355 2 made make VBD 39713 2355 3 at at IN 39713 2355 4 the the DT 39713 2355 5 outset outset NN 39713 2355 6 an an DT 39713 2355 7 arbitrary arbitrary JJ 39713 2355 8 convention convention NN 39713 2355 9 , , , 39713 2355 10 but but CC 39713 2355 11 if if IN 39713 2355 12 we -PRON- PRP 39713 2355 13 adopt adopt VBP 39713 2355 14 it -PRON- PRP 39713 2355 15 , , , 39713 2355 16 this this DT 39713 2355 17 probable probable JJ 39713 2355 18 value value NN 39713 2355 19 is be VBZ 39713 2355 20 entirely entirely RB 39713 2355 21 defined define VBN 39713 2355 22 . . . 39713 2356 1 Divide divide VB 39713 2356 2 the the DT 39713 2356 3 plane plane NN 39713 2356 4 into into IN 39713 2356 5 elements element NNS 39713 2356 6 of of IN 39713 2356 7 surface surface NN 39713 2356 8 . . . 39713 2357 1 Consider consider VB 39713 2357 2 the the DT 39713 2357 3 value value NN 39713 2357 4 of of IN 39713 2357 5 sin sin NN 39713 2357 6 ( ( -LRB- 39713 2357 7 _ _ NNP 39713 2357 8 at at IN 39713 2357 9 _ _ NNP 39713 2357 10 + + NNP 39713 2357 11 _ _ NNP 39713 2357 12 b b NNP 39713 2357 13 _ _ NNP 39713 2357 14 ) ) -RRB- 39713 2357 15 at at IN 39713 2357 16 the the DT 39713 2357 17 center center NN 39713 2357 18 of of IN 39713 2357 19 each each DT 39713 2357 20 of of IN 39713 2357 21 these these DT 39713 2357 22 elements element NNS 39713 2357 23 ; ; : 39713 2357 24 multiply multiply VB 39713 2357 25 this this DT 39713 2357 26 value value NN 39713 2357 27 by by IN 39713 2357 28 the the DT 39713 2357 29 surface surface NN 39713 2357 30 of of IN 39713 2357 31 the the DT 39713 2357 32 element element NN 39713 2357 33 , , , 39713 2357 34 and and CC 39713 2357 35 by by IN 39713 2357 36 the the DT 39713 2357 37 corresponding corresponding JJ 39713 2357 38 density density NN 39713 2357 39 of of IN 39713 2357 40 the the DT 39713 2357 41 imaginary imaginary JJ 39713 2357 42 matter matter NN 39713 2357 43 . . . 39713 2358 1 Take take VB 39713 2358 2 then then RB 39713 2358 3 the the DT 39713 2358 4 sum sum NN 39713 2358 5 for for IN 39713 2358 6 all all PDT 39713 2358 7 the the DT 39713 2358 8 elements element NNS 39713 2358 9 of of IN 39713 2358 10 the the DT 39713 2358 11 plane plane NN 39713 2358 12 . . . 39713 2359 1 This this DT 39713 2359 2 sum sum NN 39713 2359 3 , , , 39713 2359 4 by by IN 39713 2359 5 definition definition NN 39713 2359 6 , , , 39713 2359 7 will will MD 39713 2359 8 be be VB 39713 2359 9 the the DT 39713 2359 10 probable probable JJ 39713 2359 11 mean mean NN 39713 2359 12 value value NN 39713 2359 13 we -PRON- PRP 39713 2359 14 seek seek VBP 39713 2359 15 , , , 39713 2359 16 which which WDT 39713 2359 17 will will MD 39713 2359 18 thus thus RB 39713 2359 19 be be VB 39713 2359 20 expressed express VBN 39713 2359 21 by by IN 39713 2359 22 a a DT 39713 2359 23 double double JJ 39713 2359 24 integral integral NN 39713 2359 25 . . . 39713 2360 1 It -PRON- PRP 39713 2360 2 may may MD 39713 2360 3 be be VB 39713 2360 4 thought think VBN 39713 2360 5 at at IN 39713 2360 6 first first RB 39713 2360 7 that that IN 39713 2360 8 this this DT 39713 2360 9 mean mean JJ 39713 2360 10 value value NN 39713 2360 11 depends depend VBZ 39713 2360 12 on on IN 39713 2360 13 the the DT 39713 2360 14 choice choice NN 39713 2360 15 of of IN 39713 2360 16 the the DT 39713 2360 17 function function NN 39713 2360 18 which which WDT 39713 2360 19 defines define VBZ 39713 2360 20 the the DT 39713 2360 21 density density NN 39713 2360 22 of of IN 39713 2360 23 the the DT 39713 2360 24 imaginary imaginary JJ 39713 2360 25 matter matter NN 39713 2360 26 , , , 39713 2360 27 and and CC 39713 2360 28 that that IN 39713 2360 29 , , , 39713 2360 30 as as IN 39713 2360 31 this this DT 39713 2360 32 function function NN 39713 2360 33 [ [ -LRB- 39713 2360 34 phi phi NNP 39713 2360 35 ] ] -RRB- 39713 2360 36 is be VBZ 39713 2360 37 arbitrary arbitrary JJ 39713 2360 38 , , , 39713 2360 39 we -PRON- PRP 39713 2360 40 can can MD 39713 2360 41 , , , 39713 2360 42 according accord VBG 39713 2360 43 to to IN 39713 2360 44 the the DT 39713 2360 45 arbitrary arbitrary JJ 39713 2360 46 choice choice NN 39713 2360 47 which which WDT 39713 2360 48 we -PRON- PRP 39713 2360 49 make make VBP 39713 2360 50 , , , 39713 2360 51 obtain obtain VB 39713 2360 52 any any DT 39713 2360 53 mean mean JJ 39713 2360 54 value value NN 39713 2360 55 . . . 39713 2361 1 This this DT 39713 2361 2 is be VBZ 39713 2361 3 not not RB 39713 2361 4 so so RB 39713 2361 5 . . . 39713 2362 1 A a DT 39713 2362 2 simple simple JJ 39713 2362 3 calculation calculation NN 39713 2362 4 shows show VBZ 39713 2362 5 that that IN 39713 2362 6 our -PRON- PRP$ 39713 2362 7 double double JJ 39713 2362 8 integral integral JJ 39713 2362 9 decreases decrease NNS 39713 2362 10 very very RB 39713 2362 11 rapidly rapidly RB 39713 2362 12 when when WRB 39713 2362 13 _ _ NNP 39713 2362 14 t t NNP 39713 2362 15 _ _ NNP 39713 2362 16 increases increase VBZ 39713 2362 17 . . . 39713 2363 1 Thus thus RB 39713 2363 2 I -PRON- PRP 39713 2363 3 could could MD 39713 2363 4 not not RB 39713 2363 5 quite quite RB 39713 2363 6 tell tell VB 39713 2363 7 what what WDT 39713 2363 8 hypothesis hypothesis NN 39713 2363 9 to to TO 39713 2363 10 make make VB 39713 2363 11 as as IN 39713 2363 12 to to IN 39713 2363 13 the the DT 39713 2363 14 probability probability NN 39713 2363 15 of of IN 39713 2363 16 this this DT 39713 2363 17 or or CC 39713 2363 18 that that IN 39713 2363 19 initial initial JJ 39713 2363 20 distribution distribution NN 39713 2363 21 ; ; : 39713 2363 22 but but CC 39713 2363 23 whatever whatever WDT 39713 2363 24 the the DT 39713 2363 25 hypothesis hypothesis NN 39713 2363 26 made make VBD 39713 2363 27 , , , 39713 2363 28 the the DT 39713 2363 29 result result NN 39713 2363 30 will will MD 39713 2363 31 be be VB 39713 2363 32 the the DT 39713 2363 33 same same JJ 39713 2363 34 , , , 39713 2363 35 and and CC 39713 2363 36 this this DT 39713 2363 37 gets get VBZ 39713 2363 38 me -PRON- PRP 39713 2363 39 out out IN 39713 2363 40 of of IN 39713 2363 41 my -PRON- PRP$ 39713 2363 42 difficulty difficulty NN 39713 2363 43 . . . 39713 2364 1 Whatever whatever WDT 39713 2364 2 be be VB 39713 2364 3 the the DT 39713 2364 4 function function NN 39713 2364 5 [ [ -LRB- 39713 2364 6 phi phi NNP 39713 2364 7 ] ] -RRB- 39713 2364 8 , , , 39713 2364 9 the the DT 39713 2364 10 mean mean JJ 39713 2364 11 value value NN 39713 2364 12 tends tend VBZ 39713 2364 13 toward toward IN 39713 2364 14 zero zero CD 39713 2364 15 as as IN 39713 2364 16 _ _ NNP 39713 2364 17 t t NNP 39713 2364 18 _ _ NNP 39713 2364 19 increases increase VBZ 39713 2364 20 , , , 39713 2364 21 and and CC 39713 2364 22 as as IN 39713 2364 23 the the DT 39713 2364 24 minor minor JJ 39713 2364 25 planets planet NNS 39713 2364 26 have have VBP 39713 2364 27 certainly certainly RB 39713 2364 28 accomplished accomplish VBN 39713 2364 29 a a DT 39713 2364 30 very very RB 39713 2364 31 great great JJ 39713 2364 32 number number NN 39713 2364 33 of of IN 39713 2364 34 revolutions revolution NNS 39713 2364 35 , , , 39713 2364 36 I -PRON- PRP 39713 2364 37 may may MD 39713 2364 38 assert assert VB 39713 2364 39 that that IN 39713 2364 40 this this DT 39713 2364 41 mean mean JJ 39713 2364 42 value value NN 39713 2364 43 is be VBZ 39713 2364 44 very very RB 39713 2364 45 small small JJ 39713 2364 46 . . . 39713 2365 1 I -PRON- PRP 39713 2365 2 may may MD 39713 2365 3 choose choose VB 39713 2365 4 [ [ -LRB- 39713 2365 5 phi phi NNP 39713 2365 6 ] ] -RRB- 39713 2365 7 as as IN 39713 2365 8 I -PRON- PRP 39713 2365 9 wish wish VBP 39713 2365 10 , , , 39713 2365 11 save save VBP 39713 2365 12 always always RB 39713 2365 13 one one CD 39713 2365 14 restriction restriction NN 39713 2365 15 : : : 39713 2365 16 this this DT 39713 2365 17 function function NN 39713 2365 18 must must MD 39713 2365 19 be be VB 39713 2365 20 continuous continuous JJ 39713 2365 21 ; ; : 39713 2365 22 and and CC 39713 2365 23 , , , 39713 2365 24 in in IN 39713 2365 25 fact fact NN 39713 2365 26 , , , 39713 2365 27 from from IN 39713 2365 28 the the DT 39713 2365 29 point point NN 39713 2365 30 of of IN 39713 2365 31 view view NN 39713 2365 32 of of IN 39713 2365 33 subjective subjective JJ 39713 2365 34 probability probability NN 39713 2365 35 , , , 39713 2365 36 the the DT 39713 2365 37 choice choice NN 39713 2365 38 of of IN 39713 2365 39 a a DT 39713 2365 40 discontinuous discontinuous JJ 39713 2365 41 function function NN 39713 2365 42 would would MD 39713 2365 43 have have VB 39713 2365 44 been be VBN 39713 2365 45 unreasonable unreasonable JJ 39713 2365 46 . . . 39713 2366 1 For for IN 39713 2366 2 instance instance NN 39713 2366 3 , , , 39713 2366 4 what what WDT 39713 2366 5 reason reason NN 39713 2366 6 could could MD 39713 2366 7 I -PRON- PRP 39713 2366 8 have have VB 39713 2366 9 for for IN 39713 2366 10 supposing suppose VBG 39713 2366 11 that that IN 39713 2366 12 the the DT 39713 2366 13 initial initial JJ 39713 2366 14 longitude longitude NN 39713 2366 15 might may MD 39713 2366 16 be be VB 39713 2366 17 exactly exactly RB 39713 2366 18 0 0 CD 39713 2366 19 ° ° NNS 39713 2366 20 , , , 39713 2366 21 but but CC 39713 2366 22 that that IN 39713 2366 23 it -PRON- PRP 39713 2366 24 could could MD 39713 2366 25 not not RB 39713 2366 26 lie lie VB 39713 2366 27 between between IN 39713 2366 28 0 0 CD 39713 2366 29 ° ° NNS 39713 2366 30 and and CC 39713 2366 31 1 1 CD 39713 2366 32 ° ° NNS 39713 2366 33 ? ? . 39713 2367 1 But but CC 39713 2367 2 the the DT 39713 2367 3 difficulty difficulty NN 39713 2367 4 reappears reappear VBZ 39713 2367 5 if if IN 39713 2367 6 we -PRON- PRP 39713 2367 7 take take VBP 39713 2367 8 the the DT 39713 2367 9 point point NN 39713 2367 10 of of IN 39713 2367 11 view view NN 39713 2367 12 of of IN 39713 2367 13 objective objective JJ 39713 2367 14 probability probability NN 39713 2367 15 , , , 39713 2367 16 if if IN 39713 2367 17 we -PRON- PRP 39713 2367 18 pass pass VBP 39713 2367 19 from from IN 39713 2367 20 our -PRON- PRP$ 39713 2367 21 imaginary imaginary JJ 39713 2367 22 distribution distribution NN 39713 2367 23 in in IN 39713 2367 24 which which WDT 39713 2367 25 the the DT 39713 2367 26 fictitious fictitious JJ 39713 2367 27 matter matter NN 39713 2367 28 was be VBD 39713 2367 29 supposed suppose VBN 39713 2367 30 continuous continuous JJ 39713 2367 31 to to IN 39713 2367 32 the the DT 39713 2367 33 real real JJ 39713 2367 34 distribution distribution NN 39713 2367 35 in in IN 39713 2367 36 which which WDT 39713 2367 37 our -PRON- PRP$ 39713 2367 38 representative representative JJ 39713 2367 39 points point NNS 39713 2367 40 form form VBP 39713 2367 41 , , , 39713 2367 42 as as IN 39713 2367 43 it -PRON- PRP 39713 2367 44 were be VBD 39713 2367 45 , , , 39713 2367 46 discrete discrete JJ 39713 2367 47 atoms atom NNS 39713 2367 48 . . . 39713 2368 1 The the DT 39713 2368 2 mean mean JJ 39713 2368 3 value value NN 39713 2368 4 of of IN 39713 2368 5 sin sin NN 39713 2368 6 ( ( -LRB- 39713 2368 7 _ _ NNP 39713 2368 8 at at IN 39713 2368 9 _ _ NNP 39713 2368 10 + + NNP 39713 2368 11 _ _ NNP 39713 2368 12 b b NNP 39713 2368 13 _ _ NNP 39713 2368 14 ) ) -RRB- 39713 2368 15 will will MD 39713 2368 16 be be VB 39713 2368 17 represented represent VBN 39713 2368 18 quite quite RB 39713 2368 19 simply simply RB 39713 2368 20 by by IN 39713 2368 21 ( ( -LRB- 39713 2368 22 1/_n_){[Sigma 1/_n_){[Sigma NNP 39713 2368 23 ] ] -RRB- 39713 2368 24 sin sin NN 39713 2368 25 ( ( -LRB- 39713 2368 26 _ _ NNP 39713 2368 27 at at IN 39713 2368 28 _ _ NNP 39713 2368 29 + + NNP 39713 2368 30 _ _ NNP 39713 2368 31 b b NNP 39713 2368 32 _ _ NNP 39713 2368 33 ) ) -RRB- 39713 2368 34 } } -RRB- 39713 2368 35 , , , 39713 2368 36 _ _ NNP 39713 2368 37 n n CC 39713 2368 38 _ _ NNP 39713 2368 39 being be VBG 39713 2368 40 the the DT 39713 2368 41 number number NN 39713 2368 42 of of IN 39713 2368 43 minor minor JJ 39713 2368 44 planets planet NNS 39713 2368 45 . . . 39713 2369 1 In in IN 39713 2369 2 lieu lieu NN 39713 2369 3 of of IN 39713 2369 4 a a DT 39713 2369 5 double double JJ 39713 2369 6 integral integral JJ 39713 2369 7 referring refer VBG 39713 2369 8 to to IN 39713 2369 9 a a DT 39713 2369 10 continuous continuous JJ 39713 2369 11 function function NN 39713 2369 12 , , , 39713 2369 13 we -PRON- PRP 39713 2369 14 shall shall MD 39713 2369 15 have have VB 39713 2369 16 a a DT 39713 2369 17 sum sum NN 39713 2369 18 of of IN 39713 2369 19 discrete discrete JJ 39713 2369 20 terms term NNS 39713 2369 21 . . . 39713 2370 1 And and CC 39713 2370 2 yet yet RB 39713 2370 3 no no DT 39713 2370 4 one one NN 39713 2370 5 will will MD 39713 2370 6 seriously seriously RB 39713 2370 7 doubt doubt VB 39713 2370 8 that that IN 39713 2370 9 this this DT 39713 2370 10 mean mean JJ 39713 2370 11 value value NN 39713 2370 12 is be VBZ 39713 2370 13 practically practically RB 39713 2370 14 very very RB 39713 2370 15 small small JJ 39713 2370 16 . . . 39713 2371 1 Our -PRON- PRP$ 39713 2371 2 representative representative JJ 39713 2371 3 points point NNS 39713 2371 4 being be VBG 39713 2371 5 very very RB 39713 2371 6 close close JJ 39713 2371 7 together together RB 39713 2371 8 , , , 39713 2371 9 our -PRON- PRP$ 39713 2371 10 discrete discrete JJ 39713 2371 11 sum sum NN 39713 2371 12 will will MD 39713 2371 13 in in IN 39713 2371 14 general general JJ 39713 2371 15 differ differ VBP 39713 2371 16 very very RB 39713 2371 17 little little RB 39713 2371 18 from from IN 39713 2371 19 an an DT 39713 2371 20 integral integral NN 39713 2371 21 . . . 39713 2372 1 An an DT 39713 2372 2 integral integral NN 39713 2372 3 is be VBZ 39713 2372 4 the the DT 39713 2372 5 limit limit NN 39713 2372 6 toward toward IN 39713 2372 7 which which WDT 39713 2372 8 a a DT 39713 2372 9 sum sum NN 39713 2372 10 of of IN 39713 2372 11 terms term NNS 39713 2372 12 tends tend VBZ 39713 2372 13 when when WRB 39713 2372 14 the the DT 39713 2372 15 number number NN 39713 2372 16 of of IN 39713 2372 17 these these DT 39713 2372 18 terms term NNS 39713 2372 19 is be VBZ 39713 2372 20 indefinitely indefinitely RB 39713 2372 21 increased increase VBN 39713 2372 22 . . . 39713 2373 1 If if IN 39713 2373 2 the the DT 39713 2373 3 terms term NNS 39713 2373 4 are be VBP 39713 2373 5 very very RB 39713 2373 6 numerous numerous JJ 39713 2373 7 , , , 39713 2373 8 the the DT 39713 2373 9 sum sum NN 39713 2373 10 will will MD 39713 2373 11 differ differ VB 39713 2373 12 very very RB 39713 2373 13 little little JJ 39713 2373 14 from from IN 39713 2373 15 its -PRON- PRP$ 39713 2373 16 limit limit NN 39713 2373 17 , , , 39713 2373 18 that that DT 39713 2373 19 is be VBZ 39713 2373 20 to to TO 39713 2373 21 say say VB 39713 2373 22 from from IN 39713 2373 23 the the DT 39713 2373 24 integral integral JJ 39713 2373 25 , , , 39713 2373 26 and and CC 39713 2373 27 what what WP 39713 2373 28 I -PRON- PRP 39713 2373 29 said say VBD 39713 2373 30 of of IN 39713 2373 31 this this DT 39713 2373 32 latter latter NN 39713 2373 33 will will MD 39713 2373 34 still still RB 39713 2373 35 be be VB 39713 2373 36 true true JJ 39713 2373 37 of of IN 39713 2373 38 the the DT 39713 2373 39 sum sum NN 39713 2373 40 itself -PRON- PRP 39713 2373 41 . . . 39713 2374 1 Nevertheless nevertheless RB 39713 2374 2 , , , 39713 2374 3 there there EX 39713 2374 4 are be VBP 39713 2374 5 exceptions exception NNS 39713 2374 6 . . . 39713 2375 1 If if IN 39713 2375 2 , , , 39713 2375 3 for for IN 39713 2375 4 instance instance NN 39713 2375 5 , , , 39713 2375 6 for for IN 39713 2375 7 all all PDT 39713 2375 8 the the DT 39713 2375 9 minor minor JJ 39713 2375 10 planets planet NNS 39713 2375 11 , , , 39713 2375 12 _ _ NNP 39713 2375 13 b b NNP 39713 2375 14 _ _ NNP 39713 2375 15 = = NFP 39713 2375 16 [ [ -LRB- 39713 2375 17 pi]/2 pi]/2 NNP 39713 2375 18 - - HYPH 39713 2375 19 _ _ NNP 39713 2375 20 at at IN 39713 2375 21 _ _ NNP 39713 2375 22 , , , 39713 2375 23 the the DT 39713 2375 24 longitude longitude NN 39713 2375 25 for for IN 39713 2375 26 all all PDT 39713 2375 27 the the DT 39713 2375 28 planets planet NNS 39713 2375 29 at at IN 39713 2375 30 the the DT 39713 2375 31 time time NN 39713 2375 32 t t NN 39713 2375 33 would would MD 39713 2375 34 be be VB 39713 2375 35 [ [ -LRB- 39713 2375 36 pi]/2 pi]/2 UH 39713 2375 37 , , , 39713 2375 38 and and CC 39713 2375 39 the the DT 39713 2375 40 mean mean JJ 39713 2375 41 value value NN 39713 2375 42 would would MD 39713 2375 43 evidently evidently RB 39713 2375 44 be be VB 39713 2375 45 equal equal JJ 39713 2375 46 to to IN 39713 2375 47 unity unity NN 39713 2375 48 . . . 39713 2376 1 For for IN 39713 2376 2 this this DT 39713 2376 3 to to TO 39713 2376 4 be be VB 39713 2376 5 the the DT 39713 2376 6 case case NN 39713 2376 7 , , , 39713 2376 8 it -PRON- PRP 39713 2376 9 would would MD 39713 2376 10 be be VB 39713 2376 11 necessary necessary JJ 39713 2376 12 that that IN 39713 2376 13 at at IN 39713 2376 14 the the DT 39713 2376 15 epoch epoch NN 39713 2376 16 0 0 CD 39713 2376 17 , , , 39713 2376 18 the the DT 39713 2376 19 minor minor JJ 39713 2376 20 planets planet NNS 39713 2376 21 must must MD 39713 2376 22 have have VB 39713 2376 23 all all DT 39713 2376 24 been be VBN 39713 2376 25 lying lie VBG 39713 2376 26 on on IN 39713 2376 27 a a DT 39713 2376 28 spiral spiral NN 39713 2376 29 of of IN 39713 2376 30 peculiar peculiar JJ 39713 2376 31 form form NN 39713 2376 32 , , , 39713 2376 33 with with IN 39713 2376 34 its -PRON- PRP$ 39713 2376 35 spires spire NNS 39713 2376 36 very very RB 39713 2376 37 close close RB 39713 2376 38 together together RB 39713 2376 39 . . . 39713 2377 1 Every every DT 39713 2377 2 one one NN 39713 2377 3 will will MD 39713 2377 4 admit admit VB 39713 2377 5 that that IN 39713 2377 6 such such PDT 39713 2377 7 an an DT 39713 2377 8 initial initial JJ 39713 2377 9 distribution distribution NN 39713 2377 10 is be VBZ 39713 2377 11 extremely extremely RB 39713 2377 12 improbable improbable JJ 39713 2377 13 ( ( -LRB- 39713 2377 14 and and CC 39713 2377 15 , , , 39713 2377 16 even even RB 39713 2377 17 supposing suppose VBG 39713 2377 18 it -PRON- PRP 39713 2377 19 realized realize VBD 39713 2377 20 , , , 39713 2377 21 the the DT 39713 2377 22 distribution distribution NN 39713 2377 23 would would MD 39713 2377 24 not not RB 39713 2377 25 be be VB 39713 2377 26 uniform uniform JJ 39713 2377 27 at at IN 39713 2377 28 the the DT 39713 2377 29 present present JJ 39713 2377 30 time time NN 39713 2377 31 , , , 39713 2377 32 for for IN 39713 2377 33 example example NN 39713 2377 34 , , , 39713 2377 35 on on IN 39713 2377 36 January January NNP 39713 2377 37 1 1 CD 39713 2377 38 , , , 39713 2377 39 1913 1913 CD 39713 2377 40 , , , 39713 2377 41 but but CC 39713 2377 42 it -PRON- PRP 39713 2377 43 would would MD 39713 2377 44 become become VB 39713 2377 45 so so RB 39713 2377 46 a a DT 39713 2377 47 few few JJ 39713 2377 48 years year NNS 39713 2377 49 later later RB 39713 2377 50 ) ) -RRB- 39713 2377 51 . . . 39713 2378 1 Why why WRB 39713 2378 2 then then RB 39713 2378 3 do do VBP 39713 2378 4 we -PRON- PRP 39713 2378 5 think think VB 39713 2378 6 this this DT 39713 2378 7 initial initial JJ 39713 2378 8 distribution distribution NN 39713 2378 9 improbable improbable JJ 39713 2378 10 ? ? . 39713 2379 1 This this DT 39713 2379 2 must must MD 39713 2379 3 be be VB 39713 2379 4 explained explain VBN 39713 2379 5 , , , 39713 2379 6 because because IN 39713 2379 7 if if IN 39713 2379 8 we -PRON- PRP 39713 2379 9 had have VBD 39713 2379 10 no no DT 39713 2379 11 reason reason NN 39713 2379 12 for for IN 39713 2379 13 rejecting reject VBG 39713 2379 14 as as RB 39713 2379 15 improbable improbable JJ 39713 2379 16 this this DT 39713 2379 17 absurd absurd JJ 39713 2379 18 hypothesis hypothesis NN 39713 2379 19 everything everything NN 39713 2379 20 would would MD 39713 2379 21 break break VB 39713 2379 22 down down RP 39713 2379 23 , , , 39713 2379 24 and and CC 39713 2379 25 we -PRON- PRP 39713 2379 26 could could MD 39713 2379 27 no no RB 39713 2379 28 longer longer RB 39713 2379 29 make make VB 39713 2379 30 any any DT 39713 2379 31 affirmation affirmation NN 39713 2379 32 about about IN 39713 2379 33 the the DT 39713 2379 34 probability probability NN 39713 2379 35 of of IN 39713 2379 36 this this DT 39713 2379 37 or or CC 39713 2379 38 that that IN 39713 2379 39 present present JJ 39713 2379 40 distribution distribution NN 39713 2379 41 . . . 39713 2380 1 Once once RB 39713 2380 2 more more RBR 39713 2380 3 we -PRON- PRP 39713 2380 4 shall shall MD 39713 2380 5 invoke invoke VB 39713 2380 6 the the DT 39713 2380 7 principle principle NN 39713 2380 8 of of IN 39713 2380 9 sufficient sufficient JJ 39713 2380 10 reason reason NN 39713 2380 11 to to TO 39713 2380 12 which which WDT 39713 2380 13 we -PRON- PRP 39713 2380 14 must must MD 39713 2380 15 always always RB 39713 2380 16 recur recur VB 39713 2380 17 . . . 39713 2381 1 We -PRON- PRP 39713 2381 2 might may MD 39713 2381 3 admit admit VB 39713 2381 4 that that IN 39713 2381 5 at at IN 39713 2381 6 the the DT 39713 2381 7 beginning beginning NN 39713 2381 8 the the DT 39713 2381 9 planets planet NNS 39713 2381 10 were be VBD 39713 2381 11 distributed distribute VBN 39713 2381 12 almost almost RB 39713 2381 13 in in IN 39713 2381 14 a a DT 39713 2381 15 straight straight JJ 39713 2381 16 line line NN 39713 2381 17 . . . 39713 2382 1 We -PRON- PRP 39713 2382 2 might may MD 39713 2382 3 admit admit VB 39713 2382 4 that that IN 39713 2382 5 they -PRON- PRP 39713 2382 6 were be VBD 39713 2382 7 irregularly irregularly RB 39713 2382 8 distributed distribute VBN 39713 2382 9 . . . 39713 2383 1 But but CC 39713 2383 2 it -PRON- PRP 39713 2383 3 seems seem VBZ 39713 2383 4 to to IN 39713 2383 5 us -PRON- PRP 39713 2383 6 that that IN 39713 2383 7 there there EX 39713 2383 8 is be VBZ 39713 2383 9 no no DT 39713 2383 10 sufficient sufficient JJ 39713 2383 11 reason reason NN 39713 2383 12 for for IN 39713 2383 13 the the DT 39713 2383 14 unknown unknown JJ 39713 2383 15 cause cause NN 39713 2383 16 that that WDT 39713 2383 17 gave give VBD 39713 2383 18 them -PRON- PRP 39713 2383 19 birth birth NN 39713 2383 20 to to TO 39713 2383 21 have have VB 39713 2383 22 acted act VBN 39713 2383 23 along along IN 39713 2383 24 a a DT 39713 2383 25 curve curve NN 39713 2383 26 so so RB 39713 2383 27 regular regular JJ 39713 2383 28 and and CC 39713 2383 29 yet yet RB 39713 2383 30 so so RB 39713 2383 31 complicated complicated JJ 39713 2383 32 , , , 39713 2383 33 which which WDT 39713 2383 34 would would MD 39713 2383 35 appear appear VB 39713 2383 36 to to TO 39713 2383 37 have have VB 39713 2383 38 been be VBN 39713 2383 39 expressly expressly RB 39713 2383 40 chosen choose VBN 39713 2383 41 so so IN 39713 2383 42 that that IN 39713 2383 43 the the DT 39713 2383 44 present present JJ 39713 2383 45 distribution distribution NN 39713 2383 46 would would MD 39713 2383 47 not not RB 39713 2383 48 be be VB 39713 2383 49 uniform uniform JJ 39713 2383 50 . . . 39713 2384 1 IV IV NNP 39713 2384 2 . . . 39713 2385 1 ROUGE ROUGE NNP 39713 2385 2 ET ET NNP 39713 2385 3 NOIR.--The noir.--the JJ 39713 2385 4 questions question NNS 39713 2385 5 raised raise VBN 39713 2385 6 by by IN 39713 2385 7 games game NNS 39713 2385 8 of of IN 39713 2385 9 chance chance NN 39713 2385 10 , , , 39713 2385 11 such such JJ 39713 2385 12 as as IN 39713 2385 13 roulette roulette NN 39713 2385 14 , , , 39713 2385 15 are be VBP 39713 2385 16 , , , 39713 2385 17 fundamentally fundamentally RB 39713 2385 18 , , , 39713 2385 19 entirely entirely RB 39713 2385 20 analogous analogous JJ 39713 2385 21 to to IN 39713 2385 22 those those DT 39713 2385 23 we -PRON- PRP 39713 2385 24 have have VBP 39713 2385 25 just just RB 39713 2385 26 treated treat VBN 39713 2385 27 . . . 39713 2386 1 For for IN 39713 2386 2 example example NN 39713 2386 3 , , , 39713 2386 4 a a DT 39713 2386 5 wheel wheel NN 39713 2386 6 is be VBZ 39713 2386 7 partitioned partition VBN 39713 2386 8 into into IN 39713 2386 9 a a DT 39713 2386 10 great great JJ 39713 2386 11 number number NN 39713 2386 12 of of IN 39713 2386 13 equal equal JJ 39713 2386 14 subdivisions subdivision NNS 39713 2386 15 , , , 39713 2386 16 alternately alternately RB 39713 2386 17 red red JJ 39713 2386 18 and and CC 39713 2386 19 black black JJ 39713 2386 20 . . . 39713 2387 1 A a DT 39713 2387 2 needle needle NN 39713 2387 3 is be VBZ 39713 2387 4 whirled whirl VBN 39713 2387 5 with with IN 39713 2387 6 force force NN 39713 2387 7 , , , 39713 2387 8 and and CC 39713 2387 9 after after IN 39713 2387 10 having have VBG 39713 2387 11 made make VBN 39713 2387 12 a a DT 39713 2387 13 great great JJ 39713 2387 14 number number NN 39713 2387 15 of of IN 39713 2387 16 revolutions revolution NNS 39713 2387 17 , , , 39713 2387 18 it -PRON- PRP 39713 2387 19 stops stop VBZ 39713 2387 20 before before IN 39713 2387 21 one one CD 39713 2387 22 of of IN 39713 2387 23 these these DT 39713 2387 24 subdivisions subdivision NNS 39713 2387 25 . . . 39713 2388 1 The the DT 39713 2388 2 probability probability NN 39713 2388 3 that that IN 39713 2388 4 this this DT 39713 2388 5 division division NN 39713 2388 6 is be VBZ 39713 2388 7 red red JJ 39713 2388 8 is be VBZ 39713 2388 9 evidently evidently RB 39713 2388 10 1/2 1/2 CD 39713 2388 11 . . . 39713 2389 1 The the DT 39713 2389 2 needle needle NN 39713 2389 3 describes describe VBZ 39713 2389 4 an an DT 39713 2389 5 angle angle NN 39713 2389 6 [ [ -LRB- 39713 2389 7 theta theta NN 39713 2389 8 ] ] -RRB- 39713 2389 9 , , , 39713 2389 10 including include VBG 39713 2389 11 several several JJ 39713 2389 12 complete complete JJ 39713 2389 13 revolutions revolution NNS 39713 2389 14 . . . 39713 2390 1 I -PRON- PRP 39713 2390 2 do do VBP 39713 2390 3 not not RB 39713 2390 4 know know VB 39713 2390 5 what what WP 39713 2390 6 is be VBZ 39713 2390 7 the the DT 39713 2390 8 probability probability NN 39713 2390 9 that that IN 39713 2390 10 the the DT 39713 2390 11 needle needle NN 39713 2390 12 may may MD 39713 2390 13 be be VB 39713 2390 14 whirled whirl VBN 39713 2390 15 with with IN 39713 2390 16 a a DT 39713 2390 17 force force NN 39713 2390 18 such such JJ 39713 2390 19 that that IN 39713 2390 20 this this DT 39713 2390 21 angle angle NN 39713 2390 22 should should MD 39713 2390 23 lie lie VB 39713 2390 24 between between IN 39713 2390 25 [ [ -LRB- 39713 2390 26 theta theta NN 39713 2390 27 ] ] -RRB- 39713 2390 28 and and CC 39713 2390 29 [ [ -LRB- 39713 2390 30 theta]+_d_[theta theta]+_d_[theta NNP 39713 2390 31 ] ] -RRB- 39713 2390 32 ; ; : 39713 2390 33 but but CC 39713 2390 34 I -PRON- PRP 39713 2390 35 can can MD 39713 2390 36 make make VB 39713 2390 37 a a DT 39713 2390 38 convention convention NN 39713 2390 39 . . . 39713 2391 1 I -PRON- PRP 39713 2391 2 can can MD 39713 2391 3 suppose suppose VB 39713 2391 4 that that IN 39713 2391 5 this this DT 39713 2391 6 probability probability NN 39713 2391 7 is be VBZ 39713 2391 8 [ [ -LRB- 39713 2391 9 phi]([theta])_d_[theta phi]([theta])_d_[theta NN 39713 2391 10 ] ] -RRB- 39713 2391 11 . . . 39713 2392 1 As as IN 39713 2392 2 for for IN 39713 2392 3 the the DT 39713 2392 4 function function NN 39713 2392 5 [ [ -LRB- 39713 2392 6 phi]([theta phi]([theta NNP 39713 2392 7 ] ] -RRB- 39713 2392 8 ) ) -RRB- 39713 2392 9 , , , 39713 2392 10 I -PRON- PRP 39713 2392 11 can can MD 39713 2392 12 choose choose VB 39713 2392 13 it -PRON- PRP 39713 2392 14 in in IN 39713 2392 15 an an DT 39713 2392 16 entirely entirely RB 39713 2392 17 arbitrary arbitrary JJ 39713 2392 18 manner manner NN 39713 2392 19 . . . 39713 2393 1 There there EX 39713 2393 2 is be VBZ 39713 2393 3 nothing nothing NN 39713 2393 4 that that WDT 39713 2393 5 can can MD 39713 2393 6 guide guide VB 39713 2393 7 me -PRON- PRP 39713 2393 8 in in IN 39713 2393 9 my -PRON- PRP$ 39713 2393 10 choice choice NN 39713 2393 11 , , , 39713 2393 12 but but CC 39713 2393 13 I -PRON- PRP 39713 2393 14 am be VBP 39713 2393 15 naturally naturally RB 39713 2393 16 led lead VBN 39713 2393 17 to to TO 39713 2393 18 suppose suppose VB 39713 2393 19 this this DT 39713 2393 20 function function NN 39713 2393 21 continuous continuous JJ 39713 2393 22 . . . 39713 2394 1 Let let VB 39713 2394 2 [ [ -LRB- 39713 2394 3 epsilon epsilon NN 39713 2394 4 ] ] -RRB- 39713 2394 5 be be VB 39713 2394 6 the the DT 39713 2394 7 length length NN 39713 2394 8 ( ( -LRB- 39713 2394 9 measured measure VBN 39713 2394 10 on on IN 39713 2394 11 the the DT 39713 2394 12 circumference circumference NN 39713 2394 13 of of IN 39713 2394 14 radius radius NN 39713 2394 15 1 1 CD 39713 2394 16 ) ) -RRB- 39713 2394 17 of of IN 39713 2394 18 each each DT 39713 2394 19 red red JJ 39713 2394 20 and and CC 39713 2394 21 black black JJ 39713 2394 22 subdivision subdivision NN 39713 2394 23 . . . 39713 2395 1 We -PRON- PRP 39713 2395 2 have have VBP 39713 2395 3 to to TO 39713 2395 4 calculate calculate VB 39713 2395 5 the the DT 39713 2395 6 integral integral NN 39713 2395 7 of of IN 39713 2395 8 [ [ -LRB- 39713 2395 9 phi]([theta])_d_[theta phi]([theta])_d_[theta NNP 39713 2395 10 ] ] -RRB- 39713 2395 11 , , , 39713 2395 12 extending extend VBG 39713 2395 13 it -PRON- PRP 39713 2395 14 , , , 39713 2395 15 on on IN 39713 2395 16 the the DT 39713 2395 17 one one CD 39713 2395 18 hand hand NN 39713 2395 19 , , , 39713 2395 20 to to IN 39713 2395 21 all all PDT 39713 2395 22 the the DT 39713 2395 23 red red JJ 39713 2395 24 divisions division NNS 39713 2395 25 and and CC 39713 2395 26 , , , 39713 2395 27 on on IN 39713 2395 28 the the DT 39713 2395 29 other other JJ 39713 2395 30 hand hand NN 39713 2395 31 , , , 39713 2395 32 to to IN 39713 2395 33 all all PDT 39713 2395 34 the the DT 39713 2395 35 black black JJ 39713 2395 36 divisions division NNS 39713 2395 37 , , , 39713 2395 38 and and CC 39713 2395 39 to to TO 39713 2395 40 compare compare VB 39713 2395 41 the the DT 39713 2395 42 results result NNS 39713 2395 43 . . . 39713 2396 1 Consider consider VB 39713 2396 2 an an DT 39713 2396 3 interval interval JJ 39713 2396 4 2[epsilon 2[epsilon CD 39713 2396 5 ] ] -RRB- 39713 2396 6 , , , 39713 2396 7 comprising comprise VBG 39713 2396 8 a a DT 39713 2396 9 red red JJ 39713 2396 10 division division NN 39713 2396 11 and and CC 39713 2396 12 a a DT 39713 2396 13 black black JJ 39713 2396 14 division division NN 39713 2396 15 which which WDT 39713 2396 16 follows follow VBZ 39713 2396 17 it -PRON- PRP 39713 2396 18 . . . 39713 2397 1 Let let VB 39713 2397 2 M M NNP 39713 2397 3 and and CC 39713 2397 4 _ _ NNP 39713 2397 5 m m NNP 39713 2397 6 _ _ NNP 39713 2397 7 be be VB 39713 2397 8 the the DT 39713 2397 9 greatest great JJS 39713 2397 10 and and CC 39713 2397 11 least least JJS 39713 2397 12 values value NNS 39713 2397 13 of of IN 39713 2397 14 the the DT 39713 2397 15 function function NN 39713 2397 16 [ [ -LRB- 39713 2397 17 phi]([theta phi]([theta NNP 39713 2397 18 ] ] -RRB- 39713 2397 19 ) ) -RRB- 39713 2397 20 in in IN 39713 2397 21 this this DT 39713 2397 22 interval interval NN 39713 2397 23 . . . 39713 2398 1 The the DT 39713 2398 2 integral integral JJ 39713 2398 3 extended extend VBN 39713 2398 4 to to IN 39713 2398 5 the the DT 39713 2398 6 red red JJ 39713 2398 7 divisions division NNS 39713 2398 8 will will MD 39713 2398 9 be be VB 39713 2398 10 smaller small JJR 39713 2398 11 than than IN 39713 2398 12 [ [ -LRB- 39713 2398 13 Sigma]M[epsilon Sigma]M[epsilon NNP 39713 2398 14 ] ] -RRB- 39713 2398 15 ; ; : 39713 2398 16 the the DT 39713 2398 17 integral integral NN 39713 2398 18 extended extend VBD 39713 2398 19 to to IN 39713 2398 20 the the DT 39713 2398 21 black black JJ 39713 2398 22 divisions division NNS 39713 2398 23 will will MD 39713 2398 24 be be VB 39713 2398 25 greater great JJR 39713 2398 26 than than IN 39713 2398 27 [ [ -LRB- 39713 2398 28 Sigma]_m_[epsilon sigma]_m_[epsilon NN 39713 2398 29 ] ] -RRB- 39713 2398 30 ; ; : 39713 2398 31 the the DT 39713 2398 32 difference difference NN 39713 2398 33 will will MD 39713 2398 34 therefore therefore RB 39713 2398 35 be be VB 39713 2398 36 less less JJR 39713 2398 37 than than IN 39713 2398 38 [ [ -LRB- 39713 2398 39 Sigma](M Sigma](M NNP 39713 2398 40 - - : 39713 2398 41 _ _ NNP 39713 2398 42 m_)[epsilon m_)[epsilon NNS 39713 2398 43 ] ] -RRB- 39713 2398 44 . . . 39713 2399 1 But but CC 39713 2399 2 , , , 39713 2399 3 if if IN 39713 2399 4 the the DT 39713 2399 5 function function NN 39713 2399 6 [ [ -LRB- 39713 2399 7 theta theta NN 39713 2399 8 ] ] -RRB- 39713 2399 9 is be VBZ 39713 2399 10 supposed suppose VBN 39713 2399 11 continuous continuous JJ 39713 2399 12 ; ; : 39713 2399 13 if if IN 39713 2399 14 , , , 39713 2399 15 besides besides RB 39713 2399 16 , , , 39713 2399 17 the the DT 39713 2399 18 interval interval NN 39713 2399 19 [ [ -LRB- 39713 2399 20 epsilon epsilon NN 39713 2399 21 ] ] -RRB- 39713 2399 22 is be VBZ 39713 2399 23 very very RB 39713 2399 24 small small JJ 39713 2399 25 with with IN 39713 2399 26 respect respect NN 39713 2399 27 to to IN 39713 2399 28 the the DT 39713 2399 29 total total JJ 39713 2399 30 angle angle NN 39713 2399 31 described describe VBN 39713 2399 32 by by IN 39713 2399 33 the the DT 39713 2399 34 needle needle NN 39713 2399 35 , , , 39713 2399 36 the the DT 39713 2399 37 difference difference NN 39713 2399 38 M M NNP 39713 2399 39 - - HYPH 39713 2399 40 _ _ NNP 39713 2399 41 m m NNP 39713 2399 42 _ _ NNP 39713 2399 43 will will MD 39713 2399 44 be be VB 39713 2399 45 very very RB 39713 2399 46 small small JJ 39713 2399 47 . . . 39713 2400 1 The the DT 39713 2400 2 difference difference NN 39713 2400 3 of of IN 39713 2400 4 the the DT 39713 2400 5 two two CD 39713 2400 6 integrals integral NNS 39713 2400 7 will will MD 39713 2400 8 therefore therefore RB 39713 2400 9 be be VB 39713 2400 10 very very RB 39713 2400 11 small small JJ 39713 2400 12 , , , 39713 2400 13 and and CC 39713 2400 14 the the DT 39713 2400 15 probability probability NN 39713 2400 16 will will MD 39713 2400 17 be be VB 39713 2400 18 very very RB 39713 2400 19 nearly nearly RB 39713 2400 20 1/2 1/2 CD 39713 2400 21 . . . 39713 2401 1 We -PRON- PRP 39713 2401 2 see see VBP 39713 2401 3 that that IN 39713 2401 4 without without IN 39713 2401 5 knowing know VBG 39713 2401 6 anything anything NN 39713 2401 7 of of IN 39713 2401 8 the the DT 39713 2401 9 function function NN 39713 2401 10 [ [ -LRB- 39713 2401 11 theta theta NN 39713 2401 12 ] ] -RRB- 39713 2401 13 , , , 39713 2401 14 I -PRON- PRP 39713 2401 15 must must MD 39713 2401 16 act act VB 39713 2401 17 as as IN 39713 2401 18 if if IN 39713 2401 19 the the DT 39713 2401 20 probability probability NN 39713 2401 21 were be VBD 39713 2401 22 1/2 1/2 CD 39713 2401 23 . . . 39713 2402 1 We -PRON- PRP 39713 2402 2 understand understand VBP 39713 2402 3 , , , 39713 2402 4 on on IN 39713 2402 5 the the DT 39713 2402 6 other other JJ 39713 2402 7 hand hand NN 39713 2402 8 , , , 39713 2402 9 why why WRB 39713 2402 10 , , , 39713 2402 11 if if IN 39713 2402 12 , , , 39713 2402 13 placing place VBG 39713 2402 14 myself -PRON- PRP 39713 2402 15 at at IN 39713 2402 16 the the DT 39713 2402 17 objective objective JJ 39713 2402 18 point point NN 39713 2402 19 of of IN 39713 2402 20 view view NN 39713 2402 21 , , , 39713 2402 22 I -PRON- PRP 39713 2402 23 observe observe VBP 39713 2402 24 a a DT 39713 2402 25 certain certain JJ 39713 2402 26 number number NN 39713 2402 27 of of IN 39713 2402 28 coups coup NNS 39713 2402 29 , , , 39713 2402 30 observation observation NN 39713 2402 31 will will MD 39713 2402 32 give give VB 39713 2402 33 me -PRON- PRP 39713 2402 34 about about IN 39713 2402 35 as as RB 39713 2402 36 many many JJ 39713 2402 37 black black JJ 39713 2402 38 coups coup NNS 39713 2402 39 as as IN 39713 2402 40 red red JJ 39713 2402 41 . . . 39713 2403 1 All all DT 39713 2403 2 players player NNS 39713 2403 3 know know VBP 39713 2403 4 this this DT 39713 2403 5 objective objective JJ 39713 2403 6 law law NN 39713 2403 7 ; ; : 39713 2403 8 but but CC 39713 2403 9 it -PRON- PRP 39713 2403 10 leads lead VBZ 39713 2403 11 them -PRON- PRP 39713 2403 12 into into IN 39713 2403 13 a a DT 39713 2403 14 remarkable remarkable JJ 39713 2403 15 error error NN 39713 2403 16 , , , 39713 2403 17 which which WDT 39713 2403 18 has have VBZ 39713 2403 19 been be VBN 39713 2403 20 often often RB 39713 2403 21 exposed expose VBN 39713 2403 22 , , , 39713 2403 23 but but CC 39713 2403 24 into into IN 39713 2403 25 which which WDT 39713 2403 26 they -PRON- PRP 39713 2403 27 always always RB 39713 2403 28 fall fall VBP 39713 2403 29 again again RB 39713 2403 30 . . . 39713 2404 1 When when WRB 39713 2404 2 the the DT 39713 2404 3 red red NN 39713 2404 4 has have VBZ 39713 2404 5 won win VBN 39713 2404 6 , , , 39713 2404 7 for for IN 39713 2404 8 instance instance NN 39713 2404 9 , , , 39713 2404 10 six six CD 39713 2404 11 times time NNS 39713 2404 12 running run VBG 39713 2404 13 , , , 39713 2404 14 they -PRON- PRP 39713 2404 15 bet bet VBP 39713 2404 16 on on IN 39713 2404 17 the the DT 39713 2404 18 black black NN 39713 2404 19 , , , 39713 2404 20 thinking think VBG 39713 2404 21 they -PRON- PRP 39713 2404 22 are be VBP 39713 2404 23 playing play VBG 39713 2404 24 a a DT 39713 2404 25 safe safe JJ 39713 2404 26 game game NN 39713 2404 27 ; ; : 39713 2404 28 because because IN 39713 2404 29 , , , 39713 2404 30 say say VBP 39713 2404 31 they -PRON- PRP 39713 2404 32 , , , 39713 2404 33 it -PRON- PRP 39713 2404 34 is be VBZ 39713 2404 35 very very RB 39713 2404 36 rare rare JJ 39713 2404 37 that that IN 39713 2404 38 red red NNP 39713 2404 39 wins win VBZ 39713 2404 40 seven seven CD 39713 2404 41 times time NNS 39713 2404 42 running run VBG 39713 2404 43 . . . 39713 2405 1 In in IN 39713 2405 2 reality reality NN 39713 2405 3 their -PRON- PRP$ 39713 2405 4 probability probability NN 39713 2405 5 of of IN 39713 2405 6 winning winning NN 39713 2405 7 remains remain VBZ 39713 2405 8 1/2 1/2 CD 39713 2405 9 . . . 39713 2406 1 Observation observation NN 39713 2406 2 shows show VBZ 39713 2406 3 , , , 39713 2406 4 it -PRON- PRP 39713 2406 5 is be VBZ 39713 2406 6 true true JJ 39713 2406 7 , , , 39713 2406 8 that that IN 39713 2406 9 series series NN 39713 2406 10 of of IN 39713 2406 11 seven seven CD 39713 2406 12 consecutive consecutive JJ 39713 2406 13 reds red NNS 39713 2406 14 are be VBP 39713 2406 15 very very RB 39713 2406 16 rare rare JJ 39713 2406 17 , , , 39713 2406 18 but but CC 39713 2406 19 series series NN 39713 2406 20 of of IN 39713 2406 21 six six CD 39713 2406 22 reds red NNS 39713 2406 23 followed follow VBN 39713 2406 24 by by IN 39713 2406 25 a a DT 39713 2406 26 black black NN 39713 2406 27 are be VBP 39713 2406 28 just just RB 39713 2406 29 as as RB 39713 2406 30 rare rare JJ 39713 2406 31 . . . 39713 2407 1 They -PRON- PRP 39713 2407 2 have have VBP 39713 2407 3 noticed notice VBN 39713 2407 4 the the DT 39713 2407 5 rarity rarity NN 39713 2407 6 of of IN 39713 2407 7 the the DT 39713 2407 8 series series NN 39713 2407 9 of of IN 39713 2407 10 seven seven CD 39713 2407 11 reds red NNS 39713 2407 12 ; ; : 39713 2407 13 if if IN 39713 2407 14 they -PRON- PRP 39713 2407 15 have have VBP 39713 2407 16 not not RB 39713 2407 17 remarked remark VBN 39713 2407 18 the the DT 39713 2407 19 rarity rarity NN 39713 2407 20 of of IN 39713 2407 21 six six CD 39713 2407 22 reds red NNS 39713 2407 23 and and CC 39713 2407 24 a a DT 39713 2407 25 black black NN 39713 2407 26 , , , 39713 2407 27 it -PRON- PRP 39713 2407 28 is be VBZ 39713 2407 29 only only RB 39713 2407 30 because because IN 39713 2407 31 such such JJ 39713 2407 32 series series NN 39713 2407 33 strike strike VBP 39713 2407 34 the the DT 39713 2407 35 attention attention NN 39713 2407 36 less less RBR 39713 2407 37 . . . 39713 2408 1 V. V. NNP 39713 2408 2 THE the DT 39713 2408 3 PROBABILITY PROBABILITY NNP 39713 2408 4 OF of IN 39713 2408 5 CAUSES.--We CAUSES.--We NNP 39713 2408 6 now now RB 39713 2408 7 come come VBP 39713 2408 8 to to IN 39713 2408 9 the the DT 39713 2408 10 problems problem NNS 39713 2408 11 of of IN 39713 2408 12 the the DT 39713 2408 13 probability probability NN 39713 2408 14 of of IN 39713 2408 15 causes cause NNS 39713 2408 16 , , , 39713 2408 17 the the DT 39713 2408 18 most most RBS 39713 2408 19 important important JJ 39713 2408 20 from from IN 39713 2408 21 the the DT 39713 2408 22 point point NN 39713 2408 23 of of IN 39713 2408 24 view view NN 39713 2408 25 of of IN 39713 2408 26 scientific scientific JJ 39713 2408 27 applications application NNS 39713 2408 28 . . . 39713 2409 1 Two two CD 39713 2409 2 stars star NNS 39713 2409 3 , , , 39713 2409 4 for for IN 39713 2409 5 instance instance NN 39713 2409 6 , , , 39713 2409 7 are be VBP 39713 2409 8 very very RB 39713 2409 9 close close JJ 39713 2409 10 together together RB 39713 2409 11 on on IN 39713 2409 12 the the DT 39713 2409 13 celestial celestial JJ 39713 2409 14 sphere sphere NN 39713 2409 15 . . . 39713 2410 1 Is be VBZ 39713 2410 2 this this DT 39713 2410 3 apparent apparent JJ 39713 2410 4 contiguity contiguity NN 39713 2410 5 a a DT 39713 2410 6 mere mere JJ 39713 2410 7 effect effect NN 39713 2410 8 of of IN 39713 2410 9 chance chance NN 39713 2410 10 ? ? . 39713 2411 1 Are be VBP 39713 2411 2 these these DT 39713 2411 3 stars star NNS 39713 2411 4 , , , 39713 2411 5 although although IN 39713 2411 6 on on IN 39713 2411 7 almost almost RB 39713 2411 8 the the DT 39713 2411 9 same same JJ 39713 2411 10 visual visual JJ 39713 2411 11 ray ray NN 39713 2411 12 , , , 39713 2411 13 situated situate VBN 39713 2411 14 at at IN 39713 2411 15 very very RB 39713 2411 16 different different JJ 39713 2411 17 distances distance NNS 39713 2411 18 from from IN 39713 2411 19 the the DT 39713 2411 20 earth earth NN 39713 2411 21 , , , 39713 2411 22 and and CC 39713 2411 23 consequently consequently RB 39713 2411 24 very very RB 39713 2411 25 far far RB 39713 2411 26 from from IN 39713 2411 27 one one CD 39713 2411 28 another another DT 39713 2411 29 ? ? . 39713 2412 1 Or or CC 39713 2412 2 , , , 39713 2412 3 perhaps perhaps RB 39713 2412 4 , , , 39713 2412 5 does do VBZ 39713 2412 6 the the DT 39713 2412 7 apparent apparent JJ 39713 2412 8 correspond correspond NN 39713 2412 9 to to IN 39713 2412 10 a a DT 39713 2412 11 real real JJ 39713 2412 12 contiguity contiguity NN 39713 2412 13 ? ? . 39713 2413 1 This this DT 39713 2413 2 is be VBZ 39713 2413 3 a a DT 39713 2413 4 problem problem NN 39713 2413 5 on on IN 39713 2413 6 the the DT 39713 2413 7 probability probability NN 39713 2413 8 of of IN 39713 2413 9 causes cause NNS 39713 2413 10 . . . 39713 2414 1 I -PRON- PRP 39713 2414 2 recall recall VBP 39713 2414 3 first first RB 39713 2414 4 that that IN 39713 2414 5 at at IN 39713 2414 6 the the DT 39713 2414 7 outset outset NN 39713 2414 8 of of IN 39713 2414 9 all all DT 39713 2414 10 problems problem NNS 39713 2414 11 of of IN 39713 2414 12 the the DT 39713 2414 13 probability probability NN 39713 2414 14 of of IN 39713 2414 15 effects effect NNS 39713 2414 16 that that WDT 39713 2414 17 have have VBP 39713 2414 18 hitherto hitherto VBN 39713 2414 19 occupied occupy VBN 39713 2414 20 us -PRON- PRP 39713 2414 21 , , , 39713 2414 22 we -PRON- PRP 39713 2414 23 have have VBP 39713 2414 24 always always RB 39713 2414 25 had have VBN 39713 2414 26 to to TO 39713 2414 27 make make VB 39713 2414 28 a a DT 39713 2414 29 convention convention NN 39713 2414 30 , , , 39713 2414 31 more more RBR 39713 2414 32 or or CC 39713 2414 33 less less RBR 39713 2414 34 justified justified JJ 39713 2414 35 . . . 39713 2415 1 And and CC 39713 2415 2 if if IN 39713 2415 3 in in IN 39713 2415 4 most most JJS 39713 2415 5 cases case NNS 39713 2415 6 the the DT 39713 2415 7 result result NN 39713 2415 8 was be VBD 39713 2415 9 , , , 39713 2415 10 in in IN 39713 2415 11 a a DT 39713 2415 12 certain certain JJ 39713 2415 13 measure measure NN 39713 2415 14 , , , 39713 2415 15 independent independent JJ 39713 2415 16 of of IN 39713 2415 17 this this DT 39713 2415 18 convention convention NN 39713 2415 19 , , , 39713 2415 20 this this DT 39713 2415 21 was be VBD 39713 2415 22 only only RB 39713 2415 23 because because IN 39713 2415 24 of of IN 39713 2415 25 certain certain JJ 39713 2415 26 hypotheses hypothesis NNS 39713 2415 27 which which WDT 39713 2415 28 permitted permit VBD 39713 2415 29 us -PRON- PRP 39713 2415 30 to to TO 39713 2415 31 reject reject VB 39713 2415 32 _ _ NNP 39713 2415 33 a a DT 39713 2415 34 priori priori FW 39713 2415 35 _ _ NNP 39713 2415 36 discontinuous discontinuous JJ 39713 2415 37 functions function NNS 39713 2415 38 , , , 39713 2415 39 for for IN 39713 2415 40 example example NN 39713 2415 41 , , , 39713 2415 42 or or CC 39713 2415 43 certain certain JJ 39713 2415 44 absurd absurd JJ 39713 2415 45 conventions convention NNS 39713 2415 46 . . . 39713 2416 1 We -PRON- PRP 39713 2416 2 shall shall MD 39713 2416 3 find find VB 39713 2416 4 something something NN 39713 2416 5 analogous analogous JJ 39713 2416 6 when when WRB 39713 2416 7 we -PRON- PRP 39713 2416 8 deal deal VBP 39713 2416 9 with with IN 39713 2416 10 the the DT 39713 2416 11 probability probability NN 39713 2416 12 of of IN 39713 2416 13 causes cause NNS 39713 2416 14 . . . 39713 2417 1 An an DT 39713 2417 2 effect effect NN 39713 2417 3 may may MD 39713 2417 4 be be VB 39713 2417 5 produced produce VBN 39713 2417 6 by by IN 39713 2417 7 the the DT 39713 2417 8 cause cause NN 39713 2417 9 _ _ NNP 39713 2417 10 A A NNP 39713 2417 11 _ _ NNP 39713 2417 12 or or CC 39713 2417 13 by by IN 39713 2417 14 the the DT 39713 2417 15 cause cause NN 39713 2417 16 _ _ NNP 39713 2417 17 B B NNP 39713 2417 18 _ _ NNP 39713 2417 19 . . . 39713 2418 1 The the DT 39713 2418 2 effect effect NN 39713 2418 3 has have VBZ 39713 2418 4 just just RB 39713 2418 5 been be VBN 39713 2418 6 observed observe VBN 39713 2418 7 . . . 39713 2419 1 We -PRON- PRP 39713 2419 2 ask ask VBP 39713 2419 3 the the DT 39713 2419 4 probability probability NN 39713 2419 5 that that IN 39713 2419 6 it -PRON- PRP 39713 2419 7 is be VBZ 39713 2419 8 due due JJ 39713 2419 9 to to IN 39713 2419 10 the the DT 39713 2419 11 cause cause NN 39713 2419 12 _ _ NNP 39713 2419 13 A A NNP 39713 2419 14 _ _ NNP 39713 2419 15 . . . 39713 2420 1 This this DT 39713 2420 2 is be VBZ 39713 2420 3 an an DT 39713 2420 4 _ _ NNP 39713 2420 5 a a DT 39713 2420 6 posteriori posteriori NN 39713 2420 7 _ _ NNP 39713 2420 8 probability probability NN 39713 2420 9 of of IN 39713 2420 10 cause cause NN 39713 2420 11 . . . 39713 2421 1 But but CC 39713 2421 2 I -PRON- PRP 39713 2421 3 could could MD 39713 2421 4 not not RB 39713 2421 5 calculate calculate VB 39713 2421 6 it -PRON- PRP 39713 2421 7 , , , 39713 2421 8 if if IN 39713 2421 9 a a DT 39713 2421 10 convention convention NN 39713 2421 11 more more RBR 39713 2421 12 or or CC 39713 2421 13 less less RBR 39713 2421 14 justified justified JJ 39713 2421 15 did do VBD 39713 2421 16 not not RB 39713 2421 17 tell tell VB 39713 2421 18 me -PRON- PRP 39713 2421 19 _ _ NNP 39713 2421 20 in in IN 39713 2421 21 advance advance NN 39713 2421 22 _ _ NNP 39713 2421 23 what what WP 39713 2421 24 is be VBZ 39713 2421 25 the the DT 39713 2421 26 _ _ NNP 39713 2421 27 a a DT 39713 2421 28 priori priori FW 39713 2421 29 _ _ NNP 39713 2421 30 probability probability NN 39713 2421 31 for for IN 39713 2421 32 the the DT 39713 2421 33 cause cause NN 39713 2421 34 _ _ NNP 39713 2421 35 A A NNP 39713 2421 36 _ _ NNP 39713 2421 37 to to TO 39713 2421 38 come come VB 39713 2421 39 into into IN 39713 2421 40 play play NN 39713 2421 41 ; ; : 39713 2421 42 I -PRON- PRP 39713 2421 43 mean mean VBP 39713 2421 44 the the DT 39713 2421 45 probability probability NN 39713 2421 46 of of IN 39713 2421 47 this this DT 39713 2421 48 event event NN 39713 2421 49 for for IN 39713 2421 50 some some DT 39713 2421 51 one one NN 39713 2421 52 who who WP 39713 2421 53 had have VBD 39713 2421 54 not not RB 39713 2421 55 observed observe VBN 39713 2421 56 the the DT 39713 2421 57 effect effect NN 39713 2421 58 . . . 39713 2422 1 The the DT 39713 2422 2 better well JJR 39713 2422 3 to to TO 39713 2422 4 explain explain VB 39713 2422 5 myself -PRON- PRP 39713 2422 6 I -PRON- PRP 39713 2422 7 go go VBP 39713 2422 8 back back RB 39713 2422 9 to to IN 39713 2422 10 the the DT 39713 2422 11 example example NN 39713 2422 12 of of IN 39713 2422 13 the the DT 39713 2422 14 game game NN 39713 2422 15 of of IN 39713 2422 16 écarté écarté NN 39713 2422 17 mentioned mention VBN 39713 2422 18 above above RB 39713 2422 19 . . . 39713 2423 1 My -PRON- PRP$ 39713 2423 2 adversary adversary NN 39713 2423 3 deals deal VBZ 39713 2423 4 for for IN 39713 2423 5 the the DT 39713 2423 6 first first JJ 39713 2423 7 time time NN 39713 2423 8 and and CC 39713 2423 9 he -PRON- PRP 39713 2423 10 turns turn VBZ 39713 2423 11 up up RP 39713 2423 12 a a DT 39713 2423 13 king king NN 39713 2423 14 . . . 39713 2424 1 What what WP 39713 2424 2 is be VBZ 39713 2424 3 the the DT 39713 2424 4 probability probability NN 39713 2424 5 that that IN 39713 2424 6 he -PRON- PRP 39713 2424 7 is be VBZ 39713 2424 8 a a DT 39713 2424 9 sharper sharp JJR 39713 2424 10 ? ? . 39713 2425 1 The the DT 39713 2425 2 formulas formula NNS 39713 2425 3 ordinarily ordinarily RB 39713 2425 4 taught teach VBD 39713 2425 5 give give VB 39713 2425 6 8/9 8/9 CD 39713 2425 7 , , , 39713 2425 8 a a DT 39713 2425 9 result result NN 39713 2425 10 evidently evidently RB 39713 2425 11 rather rather RB 39713 2425 12 surprising surprising JJ 39713 2425 13 . . . 39713 2426 1 If if IN 39713 2426 2 we -PRON- PRP 39713 2426 3 look look VBP 39713 2426 4 at at IN 39713 2426 5 it -PRON- PRP 39713 2426 6 closer close RBR 39713 2426 7 , , , 39713 2426 8 we -PRON- PRP 39713 2426 9 see see VBP 39713 2426 10 that that IN 39713 2426 11 the the DT 39713 2426 12 calculation calculation NN 39713 2426 13 is be VBZ 39713 2426 14 made make VBN 39713 2426 15 as as IN 39713 2426 16 if if IN 39713 2426 17 , , , 39713 2426 18 _ _ NNP 39713 2426 19 before before IN 39713 2426 20 sitting sit VBG 39713 2426 21 down down RP 39713 2426 22 at at IN 39713 2426 23 the the DT 39713 2426 24 table table NN 39713 2426 25 _ _ NNP 39713 2426 26 , , , 39713 2426 27 I -PRON- PRP 39713 2426 28 had have VBD 39713 2426 29 considered consider VBN 39713 2426 30 that that IN 39713 2426 31 there there EX 39713 2426 32 was be VBD 39713 2426 33 one one CD 39713 2426 34 chance chance NN 39713 2426 35 in in IN 39713 2426 36 two two CD 39713 2426 37 that that WDT 39713 2426 38 my -PRON- PRP$ 39713 2426 39 adversary adversary NN 39713 2426 40 was be VBD 39713 2426 41 not not RB 39713 2426 42 honest honest JJ 39713 2426 43 . . . 39713 2427 1 An an DT 39713 2427 2 absurd absurd JJ 39713 2427 3 hypothesis hypothesis NN 39713 2427 4 , , , 39713 2427 5 because because IN 39713 2427 6 in in IN 39713 2427 7 that that DT 39713 2427 8 case case NN 39713 2427 9 I -PRON- PRP 39713 2427 10 should should MD 39713 2427 11 have have VB 39713 2427 12 certainly certainly RB 39713 2427 13 not not RB 39713 2427 14 played play VBN 39713 2427 15 with with IN 39713 2427 16 him -PRON- PRP 39713 2427 17 , , , 39713 2427 18 and and CC 39713 2427 19 this this DT 39713 2427 20 explains explain VBZ 39713 2427 21 the the DT 39713 2427 22 absurdity absurdity NN 39713 2427 23 of of IN 39713 2427 24 the the DT 39713 2427 25 conclusion conclusion NN 39713 2427 26 . . . 39713 2428 1 The the DT 39713 2428 2 convention convention NN 39713 2428 3 about about IN 39713 2428 4 the the DT 39713 2428 5 _ _ NNP 39713 2428 6 a a DT 39713 2428 7 priori priori FW 39713 2428 8 _ _ NNP 39713 2428 9 probability probability NN 39713 2428 10 was be VBD 39713 2428 11 unjustified unjustified JJ 39713 2428 12 , , , 39713 2428 13 and and CC 39713 2428 14 that that DT 39713 2428 15 is be VBZ 39713 2428 16 why why WRB 39713 2428 17 the the DT 39713 2428 18 calculation calculation NN 39713 2428 19 of of IN 39713 2428 20 the the DT 39713 2428 21 _ _ NNP 39713 2428 22 a a DT 39713 2428 23 posteriori posteriori NN 39713 2428 24 _ _ NNP 39713 2428 25 probability probability NN 39713 2428 26 led lead VBD 39713 2428 27 me -PRON- PRP 39713 2428 28 to to IN 39713 2428 29 an an DT 39713 2428 30 inadmissible inadmissible JJ 39713 2428 31 result result NN 39713 2428 32 . . . 39713 2429 1 We -PRON- PRP 39713 2429 2 see see VBP 39713 2429 3 the the DT 39713 2429 4 importance importance NN 39713 2429 5 of of IN 39713 2429 6 this this DT 39713 2429 7 preliminary preliminary JJ 39713 2429 8 convention convention NN 39713 2429 9 . . . 39713 2430 1 I -PRON- PRP 39713 2430 2 shall shall MD 39713 2430 3 even even RB 39713 2430 4 add add VB 39713 2430 5 that that IN 39713 2430 6 if if IN 39713 2430 7 none none NN 39713 2430 8 were be VBD 39713 2430 9 made make VBN 39713 2430 10 , , , 39713 2430 11 the the DT 39713 2430 12 problem problem NN 39713 2430 13 of of IN 39713 2430 14 the the DT 39713 2430 15 _ _ NNP 39713 2430 16 a a DT 39713 2430 17 posteriori posteriori NN 39713 2430 18 _ _ NNP 39713 2430 19 probability probability NN 39713 2430 20 would would MD 39713 2430 21 have have VB 39713 2430 22 no no DT 39713 2430 23 meaning meaning NN 39713 2430 24 . . . 39713 2431 1 It -PRON- PRP 39713 2431 2 must must MD 39713 2431 3 always always RB 39713 2431 4 be be VB 39713 2431 5 made make VBN 39713 2431 6 either either CC 39713 2431 7 explicitly explicitly RB 39713 2431 8 or or CC 39713 2431 9 tacitly tacitly RB 39713 2431 10 . . . 39713 2432 1 Pass pass VB 39713 2432 2 to to IN 39713 2432 3 an an DT 39713 2432 4 example example NN 39713 2432 5 of of IN 39713 2432 6 a a DT 39713 2432 7 more more RBR 39713 2432 8 scientific scientific JJ 39713 2432 9 character character NN 39713 2432 10 . . . 39713 2433 1 I -PRON- PRP 39713 2433 2 wish wish VBP 39713 2433 3 to to TO 39713 2433 4 determine determine VB 39713 2433 5 an an DT 39713 2433 6 experimental experimental JJ 39713 2433 7 law law NN 39713 2433 8 . . . 39713 2434 1 This this DT 39713 2434 2 law law NN 39713 2434 3 , , , 39713 2434 4 when when WRB 39713 2434 5 I -PRON- PRP 39713 2434 6 know know VBP 39713 2434 7 it -PRON- PRP 39713 2434 8 , , , 39713 2434 9 can can MD 39713 2434 10 be be VB 39713 2434 11 represented represent VBN 39713 2434 12 by by IN 39713 2434 13 a a DT 39713 2434 14 curve curve NN 39713 2434 15 . . . 39713 2435 1 I -PRON- PRP 39713 2435 2 make make VBP 39713 2435 3 a a DT 39713 2435 4 certain certain JJ 39713 2435 5 number number NN 39713 2435 6 of of IN 39713 2435 7 isolated isolated JJ 39713 2435 8 observations observation NNS 39713 2435 9 ; ; : 39713 2435 10 each each DT 39713 2435 11 of of IN 39713 2435 12 these these DT 39713 2435 13 will will MD 39713 2435 14 be be VB 39713 2435 15 represented represent VBN 39713 2435 16 by by IN 39713 2435 17 a a DT 39713 2435 18 point point NN 39713 2435 19 . . . 39713 2436 1 When when WRB 39713 2436 2 I -PRON- PRP 39713 2436 3 have have VBP 39713 2436 4 obtained obtain VBN 39713 2436 5 these these DT 39713 2436 6 different different JJ 39713 2436 7 points point NNS 39713 2436 8 , , , 39713 2436 9 I -PRON- PRP 39713 2436 10 draw draw VBP 39713 2436 11 a a DT 39713 2436 12 curve curve NN 39713 2436 13 between between IN 39713 2436 14 them -PRON- PRP 39713 2436 15 , , , 39713 2436 16 striving strive VBG 39713 2436 17 to to TO 39713 2436 18 pass pass VB 39713 2436 19 as as RB 39713 2436 20 near near RB 39713 2436 21 to to IN 39713 2436 22 them -PRON- PRP 39713 2436 23 as as IN 39713 2436 24 possible possible JJ 39713 2436 25 and and CC 39713 2436 26 yet yet RB 39713 2436 27 preserve preserve VB 39713 2436 28 for for IN 39713 2436 29 my -PRON- PRP$ 39713 2436 30 curve curve NN 39713 2436 31 a a DT 39713 2436 32 regular regular JJ 39713 2436 33 form form NN 39713 2436 34 , , , 39713 2436 35 without without IN 39713 2436 36 angular angular JJ 39713 2436 37 points point NNS 39713 2436 38 , , , 39713 2436 39 or or CC 39713 2436 40 inflections inflection NNS 39713 2436 41 too too RB 39713 2436 42 accentuated accentuate VBN 39713 2436 43 , , , 39713 2436 44 or or CC 39713 2436 45 brusque brusque VBP 39713 2436 46 variation variation NN 39713 2436 47 of of IN 39713 2436 48 the the DT 39713 2436 49 radius radius NN 39713 2436 50 of of IN 39713 2436 51 curvature curvature NN 39713 2436 52 . . . 39713 2437 1 This this DT 39713 2437 2 curve curve NN 39713 2437 3 will will MD 39713 2437 4 represent represent VB 39713 2437 5 for for IN 39713 2437 6 me -PRON- PRP 39713 2437 7 the the DT 39713 2437 8 probable probable JJ 39713 2437 9 law law NN 39713 2437 10 , , , 39713 2437 11 and and CC 39713 2437 12 I -PRON- PRP 39713 2437 13 assume assume VBP 39713 2437 14 not not RB 39713 2437 15 only only RB 39713 2437 16 that that IN 39713 2437 17 it -PRON- PRP 39713 2437 18 will will MD 39713 2437 19 tell tell VB 39713 2437 20 me -PRON- PRP 39713 2437 21 the the DT 39713 2437 22 values value NNS 39713 2437 23 of of IN 39713 2437 24 the the DT 39713 2437 25 function function NN 39713 2437 26 intermediate intermediate JJ 39713 2437 27 between between IN 39713 2437 28 those those DT 39713 2437 29 which which WDT 39713 2437 30 have have VBP 39713 2437 31 been be VBN 39713 2437 32 observed observe VBN 39713 2437 33 , , , 39713 2437 34 but but CC 39713 2437 35 also also RB 39713 2437 36 that that IN 39713 2437 37 it -PRON- PRP 39713 2437 38 will will MD 39713 2437 39 give give VB 39713 2437 40 me -PRON- PRP 39713 2437 41 the the DT 39713 2437 42 observed observed JJ 39713 2437 43 values value NNS 39713 2437 44 themselves -PRON- PRP 39713 2437 45 more more RBR 39713 2437 46 exactly exactly RB 39713 2437 47 than than IN 39713 2437 48 direct direct JJ 39713 2437 49 observation observation NN 39713 2437 50 . . . 39713 2438 1 This this DT 39713 2438 2 is be VBZ 39713 2438 3 why why WRB 39713 2438 4 I -PRON- PRP 39713 2438 5 make make VBP 39713 2438 6 it -PRON- PRP 39713 2438 7 pass pass VB 39713 2438 8 near near IN 39713 2438 9 the the DT 39713 2438 10 points point NNS 39713 2438 11 , , , 39713 2438 12 and and CC 39713 2438 13 not not RB 39713 2438 14 through through IN 39713 2438 15 the the DT 39713 2438 16 points point NNS 39713 2438 17 themselves -PRON- PRP 39713 2438 18 . . . 39713 2439 1 Here here RB 39713 2439 2 is be VBZ 39713 2439 3 a a DT 39713 2439 4 problem problem NN 39713 2439 5 in in IN 39713 2439 6 the the DT 39713 2439 7 probability probability NN 39713 2439 8 of of IN 39713 2439 9 causes cause NNS 39713 2439 10 . . . 39713 2440 1 The the DT 39713 2440 2 effects effect NNS 39713 2440 3 are be VBP 39713 2440 4 the the DT 39713 2440 5 measurements measurement NNS 39713 2440 6 I -PRON- PRP 39713 2440 7 have have VBP 39713 2440 8 recorded record VBN 39713 2440 9 ; ; : 39713 2440 10 they -PRON- PRP 39713 2440 11 depend depend VBP 39713 2440 12 on on IN 39713 2440 13 a a DT 39713 2440 14 combination combination NN 39713 2440 15 of of IN 39713 2440 16 two two CD 39713 2440 17 causes cause NNS 39713 2440 18 : : : 39713 2440 19 the the DT 39713 2440 20 true true JJ 39713 2440 21 law law NN 39713 2440 22 of of IN 39713 2440 23 the the DT 39713 2440 24 phenomenon phenomenon NN 39713 2440 25 and and CC 39713 2440 26 the the DT 39713 2440 27 errors error NNS 39713 2440 28 of of IN 39713 2440 29 observation observation NN 39713 2440 30 . . . 39713 2441 1 Knowing know VBG 39713 2441 2 the the DT 39713 2441 3 effects effect NNS 39713 2441 4 , , , 39713 2441 5 we -PRON- PRP 39713 2441 6 have have VBP 39713 2441 7 to to TO 39713 2441 8 seek seek VB 39713 2441 9 the the DT 39713 2441 10 probability probability NN 39713 2441 11 that that WDT 39713 2441 12 the the DT 39713 2441 13 phenomenon phenomenon NN 39713 2441 14 obeys obey VBZ 39713 2441 15 this this DT 39713 2441 16 law law NN 39713 2441 17 or or CC 39713 2441 18 that that IN 39713 2441 19 , , , 39713 2441 20 and and CC 39713 2441 21 that that IN 39713 2441 22 the the DT 39713 2441 23 observations observation NNS 39713 2441 24 have have VBP 39713 2441 25 been be VBN 39713 2441 26 affected affect VBN 39713 2441 27 by by IN 39713 2441 28 this this DT 39713 2441 29 or or CC 39713 2441 30 that that DT 39713 2441 31 error error NN 39713 2441 32 . . . 39713 2442 1 The the DT 39713 2442 2 most most RBS 39713 2442 3 probable probable JJ 39713 2442 4 law law NN 39713 2442 5 then then RB 39713 2442 6 corresponds correspond VBZ 39713 2442 7 to to IN 39713 2442 8 the the DT 39713 2442 9 curve curve NN 39713 2442 10 traced trace VBN 39713 2442 11 , , , 39713 2442 12 and and CC 39713 2442 13 the the DT 39713 2442 14 most most RBS 39713 2442 15 probable probable JJ 39713 2442 16 error error NN 39713 2442 17 of of IN 39713 2442 18 an an DT 39713 2442 19 observation observation NN 39713 2442 20 is be VBZ 39713 2442 21 represented represent VBN 39713 2442 22 by by IN 39713 2442 23 the the DT 39713 2442 24 distance distance NN 39713 2442 25 of of IN 39713 2442 26 the the DT 39713 2442 27 corresponding corresponding JJ 39713 2442 28 point point NN 39713 2442 29 from from IN 39713 2442 30 this this DT 39713 2442 31 curve curve NN 39713 2442 32 . . . 39713 2443 1 But but CC 39713 2443 2 the the DT 39713 2443 3 problem problem NN 39713 2443 4 would would MD 39713 2443 5 have have VB 39713 2443 6 no no DT 39713 2443 7 meaning meaning NN 39713 2443 8 if if IN 39713 2443 9 , , , 39713 2443 10 before before IN 39713 2443 11 any any DT 39713 2443 12 observation observation NN 39713 2443 13 , , , 39713 2443 14 I -PRON- PRP 39713 2443 15 had have VBD 39713 2443 16 not not RB 39713 2443 17 fashioned fashion VBN 39713 2443 18 an an DT 39713 2443 19 _ _ NNP 39713 2443 20 a a DT 39713 2443 21 priori priori FW 39713 2443 22 _ _ NNP 39713 2443 23 idea idea NN 39713 2443 24 of of IN 39713 2443 25 the the DT 39713 2443 26 probability probability NN 39713 2443 27 of of IN 39713 2443 28 this this DT 39713 2443 29 or or CC 39713 2443 30 that that DT 39713 2443 31 law law NN 39713 2443 32 , , , 39713 2443 33 and and CC 39713 2443 34 of of IN 39713 2443 35 the the DT 39713 2443 36 chances chance NNS 39713 2443 37 of of IN 39713 2443 38 error error NN 39713 2443 39 to to TO 39713 2443 40 which which WDT 39713 2443 41 I -PRON- PRP 39713 2443 42 am be VBP 39713 2443 43 exposed expose VBN 39713 2443 44 . . . 39713 2444 1 If if IN 39713 2444 2 my -PRON- PRP$ 39713 2444 3 instruments instrument NNS 39713 2444 4 are be VBP 39713 2444 5 good good JJ 39713 2444 6 ( ( -LRB- 39713 2444 7 and and CC 39713 2444 8 that that IN 39713 2444 9 I -PRON- PRP 39713 2444 10 knew know VBD 39713 2444 11 before before IN 39713 2444 12 making make VBG 39713 2444 13 the the DT 39713 2444 14 observations observation NNS 39713 2444 15 ) ) -RRB- 39713 2444 16 , , , 39713 2444 17 I -PRON- PRP 39713 2444 18 shall shall MD 39713 2444 19 not not RB 39713 2444 20 permit permit VB 39713 2444 21 my -PRON- PRP$ 39713 2444 22 curve curve NN 39713 2444 23 to to TO 39713 2444 24 depart depart VB 39713 2444 25 much much RB 39713 2444 26 from from IN 39713 2444 27 the the DT 39713 2444 28 points point NNS 39713 2444 29 which which WDT 39713 2444 30 represent represent VBP 39713 2444 31 the the DT 39713 2444 32 rough rough JJ 39713 2444 33 measurements measurement NNS 39713 2444 34 . . . 39713 2445 1 If if IN 39713 2445 2 they -PRON- PRP 39713 2445 3 are be VBP 39713 2445 4 bad bad JJ 39713 2445 5 , , , 39713 2445 6 I -PRON- PRP 39713 2445 7 may may MD 39713 2445 8 go go VB 39713 2445 9 a a DT 39713 2445 10 little little JJ 39713 2445 11 further further RB 39713 2445 12 away away RB 39713 2445 13 from from IN 39713 2445 14 them -PRON- PRP 39713 2445 15 in in IN 39713 2445 16 order order NN 39713 2445 17 to to TO 39713 2445 18 obtain obtain VB 39713 2445 19 a a DT 39713 2445 20 less less RBR 39713 2445 21 sinuous sinuous JJ 39713 2445 22 curve curve NN 39713 2445 23 ; ; : 39713 2445 24 I -PRON- PRP 39713 2445 25 shall shall MD 39713 2445 26 sacrifice sacrifice VB 39713 2445 27 more more JJR 39713 2445 28 to to IN 39713 2445 29 regularity regularity NN 39713 2445 30 . . . 39713 2446 1 Why why WRB 39713 2446 2 then then RB 39713 2446 3 is be VBZ 39713 2446 4 it -PRON- PRP 39713 2446 5 that that WDT 39713 2446 6 I -PRON- PRP 39713 2446 7 seek seek VBP 39713 2446 8 to to TO 39713 2446 9 trace trace VB 39713 2446 10 a a DT 39713 2446 11 curve curve NN 39713 2446 12 without without IN 39713 2446 13 sinuosities sinuosity NNS 39713 2446 14 ? ? . 39713 2447 1 It -PRON- PRP 39713 2447 2 is be VBZ 39713 2447 3 because because IN 39713 2447 4 I -PRON- PRP 39713 2447 5 consider consider VBP 39713 2447 6 _ _ NNP 39713 2447 7 a a DT 39713 2447 8 priori priori FW 39713 2447 9 _ _ NNP 39713 2447 10 a a DT 39713 2447 11 law law NN 39713 2447 12 represented represent VBN 39713 2447 13 by by IN 39713 2447 14 a a DT 39713 2447 15 continuous continuous JJ 39713 2447 16 function function NN 39713 2447 17 ( ( -LRB- 39713 2447 18 or or CC 39713 2447 19 by by IN 39713 2447 20 a a DT 39713 2447 21 function function NN 39713 2447 22 whose whose WP$ 39713 2447 23 derivatives derivative NNS 39713 2447 24 of of IN 39713 2447 25 high high JJ 39713 2447 26 order order NN 39713 2447 27 are be VBP 39713 2447 28 small small JJ 39713 2447 29 ) ) -RRB- 39713 2447 30 , , , 39713 2447 31 as as IN 39713 2447 32 more more RBR 39713 2447 33 probable probable JJ 39713 2447 34 than than IN 39713 2447 35 a a DT 39713 2447 36 law law NN 39713 2447 37 not not RB 39713 2447 38 satisfying satisfy VBG 39713 2447 39 these these DT 39713 2447 40 conditions condition NNS 39713 2447 41 . . . 39713 2448 1 Without without IN 39713 2448 2 this this DT 39713 2448 3 belief belief NN 39713 2448 4 , , , 39713 2448 5 the the DT 39713 2448 6 problem problem NN 39713 2448 7 of of IN 39713 2448 8 which which WDT 39713 2448 9 we -PRON- PRP 39713 2448 10 speak speak VBP 39713 2448 11 would would MD 39713 2448 12 have have VB 39713 2448 13 no no DT 39713 2448 14 meaning meaning NN 39713 2448 15 ; ; : 39713 2448 16 interpolation interpolation NN 39713 2448 17 would would MD 39713 2448 18 be be VB 39713 2448 19 impossible impossible JJ 39713 2448 20 ; ; : 39713 2448 21 no no DT 39713 2448 22 law law NN 39713 2448 23 could could MD 39713 2448 24 be be VB 39713 2448 25 deduced deduce VBN 39713 2448 26 from from IN 39713 2448 27 a a DT 39713 2448 28 finite finite JJ 39713 2448 29 number number NN 39713 2448 30 of of IN 39713 2448 31 observations observation NNS 39713 2448 32 ; ; : 39713 2448 33 science science NN 39713 2448 34 would would MD 39713 2448 35 not not RB 39713 2448 36 exist exist VB 39713 2448 37 . . . 39713 2449 1 Fifty fifty CD 39713 2449 2 years year NNS 39713 2449 3 ago ago RB 39713 2449 4 physicists physicist NNS 39713 2449 5 considered consider VBD 39713 2449 6 , , , 39713 2449 7 other other JJ 39713 2449 8 things thing NNS 39713 2449 9 being be VBG 39713 2449 10 equal equal JJ 39713 2449 11 , , , 39713 2449 12 a a DT 39713 2449 13 simple simple JJ 39713 2449 14 law law NN 39713 2449 15 as as IN 39713 2449 16 more more RBR 39713 2449 17 probable probable JJ 39713 2449 18 than than IN 39713 2449 19 a a DT 39713 2449 20 complicated complicated JJ 39713 2449 21 law law NN 39713 2449 22 . . . 39713 2450 1 They -PRON- PRP 39713 2450 2 even even RB 39713 2450 3 invoked invoke VBD 39713 2450 4 this this DT 39713 2450 5 principle principle NN 39713 2450 6 in in IN 39713 2450 7 favor favor NN 39713 2450 8 of of IN 39713 2450 9 Mariotte Mariotte NNP 39713 2450 10 's 's POS 39713 2450 11 law law NN 39713 2450 12 as as IN 39713 2450 13 against against IN 39713 2450 14 the the DT 39713 2450 15 experiments experiment NNS 39713 2450 16 of of IN 39713 2450 17 Regnault Regnault NNP 39713 2450 18 . . . 39713 2451 1 To to IN 39713 2451 2 - - HYPH 39713 2451 3 day day NN 39713 2451 4 they -PRON- PRP 39713 2451 5 have have VBP 39713 2451 6 repudiated repudiate VBN 39713 2451 7 this this DT 39713 2451 8 belief belief NN 39713 2451 9 ; ; : 39713 2451 10 and and CC 39713 2451 11 yet yet RB 39713 2451 12 , , , 39713 2451 13 how how WRB 39713 2451 14 many many JJ 39713 2451 15 times time NNS 39713 2451 16 are be VBP 39713 2451 17 they -PRON- PRP 39713 2451 18 compelled compel VBN 39713 2451 19 to to TO 39713 2451 20 act act VB 39713 2451 21 as as IN 39713 2451 22 though though IN 39713 2451 23 they -PRON- PRP 39713 2451 24 still still RB 39713 2451 25 held hold VBD 39713 2451 26 it -PRON- PRP 39713 2451 27 ! ! . 39713 2452 1 However however RB 39713 2452 2 that that DT 39713 2452 3 may may MD 39713 2452 4 be be VB 39713 2452 5 , , , 39713 2452 6 what what WP 39713 2452 7 remains remain VBZ 39713 2452 8 of of IN 39713 2452 9 this this DT 39713 2452 10 tendency tendency NN 39713 2452 11 is be VBZ 39713 2452 12 the the DT 39713 2452 13 belief belief NN 39713 2452 14 in in IN 39713 2452 15 continuity continuity NN 39713 2452 16 , , , 39713 2452 17 and and CC 39713 2452 18 we -PRON- PRP 39713 2452 19 have have VBP 39713 2452 20 just just RB 39713 2452 21 seen see VBN 39713 2452 22 that that IN 39713 2452 23 if if IN 39713 2452 24 this this DT 39713 2452 25 belief belief NN 39713 2452 26 were be VBD 39713 2452 27 to to TO 39713 2452 28 disappear disappear VB 39713 2452 29 in in IN 39713 2452 30 its -PRON- PRP$ 39713 2452 31 turn turn NN 39713 2452 32 , , , 39713 2452 33 experimental experimental JJ 39713 2452 34 science science NN 39713 2452 35 would would MD 39713 2452 36 become become VB 39713 2452 37 impossible impossible JJ 39713 2452 38 . . . 39713 2453 1 VI VI NNP 39713 2453 2 . . . 39713 2454 1 THE the DT 39713 2454 2 THEORY THEORY NNP 39713 2454 3 OF of IN 39713 2454 4 ERRORS.--We ERRORS.--We NNS 39713 2454 5 are be VBP 39713 2454 6 thus thus RB 39713 2454 7 led lead VBN 39713 2454 8 to to TO 39713 2454 9 speak speak VB 39713 2454 10 of of IN 39713 2454 11 the the DT 39713 2454 12 theory theory NN 39713 2454 13 of of IN 39713 2454 14 errors error NNS 39713 2454 15 , , , 39713 2454 16 which which WDT 39713 2454 17 is be VBZ 39713 2454 18 directly directly RB 39713 2454 19 connected connect VBN 39713 2454 20 with with IN 39713 2454 21 the the DT 39713 2454 22 problem problem NN 39713 2454 23 of of IN 39713 2454 24 the the DT 39713 2454 25 probability probability NN 39713 2454 26 of of IN 39713 2454 27 causes cause NNS 39713 2454 28 . . . 39713 2455 1 Here here RB 39713 2455 2 again again RB 39713 2455 3 we -PRON- PRP 39713 2455 4 find find VBP 39713 2455 5 _ _ NNP 39713 2455 6 effects effect NNS 39713 2455 7 _ _ NNP 39713 2455 8 , , , 39713 2455 9 to to IN 39713 2455 10 wit wit NN 39713 2455 11 , , , 39713 2455 12 a a DT 39713 2455 13 certain certain JJ 39713 2455 14 number number NN 39713 2455 15 of of IN 39713 2455 16 discordant discordant JJ 39713 2455 17 observations observation NNS 39713 2455 18 , , , 39713 2455 19 and and CC 39713 2455 20 we -PRON- PRP 39713 2455 21 seek seek VBP 39713 2455 22 to to TO 39713 2455 23 divine divine VB 39713 2455 24 the the DT 39713 2455 25 _ _ NNP 39713 2455 26 causes cause VBZ 39713 2455 27 _ _ NNP 39713 2455 28 , , , 39713 2455 29 which which WDT 39713 2455 30 are be VBP 39713 2455 31 , , , 39713 2455 32 on on IN 39713 2455 33 the the DT 39713 2455 34 one one CD 39713 2455 35 hand hand NN 39713 2455 36 , , , 39713 2455 37 the the DT 39713 2455 38 real real JJ 39713 2455 39 value value NN 39713 2455 40 of of IN 39713 2455 41 the the DT 39713 2455 42 quantity quantity NN 39713 2455 43 to to TO 39713 2455 44 be be VB 39713 2455 45 measured measure VBN 39713 2455 46 ; ; : 39713 2455 47 on on IN 39713 2455 48 the the DT 39713 2455 49 other other JJ 39713 2455 50 hand hand NN 39713 2455 51 , , , 39713 2455 52 the the DT 39713 2455 53 error error NN 39713 2455 54 made make VBN 39713 2455 55 in in IN 39713 2455 56 each each DT 39713 2455 57 isolated isolate VBN 39713 2455 58 observation observation NN 39713 2455 59 . . . 39713 2456 1 It -PRON- PRP 39713 2456 2 is be VBZ 39713 2456 3 necessary necessary JJ 39713 2456 4 to to TO 39713 2456 5 calculate calculate VB 39713 2456 6 what what WP 39713 2456 7 is be VBZ 39713 2456 8 _ _ NNP 39713 2456 9 a a DT 39713 2456 10 posteriori posteriori NN 39713 2456 11 _ _ NNP 39713 2456 12 the the DT 39713 2456 13 probable probable JJ 39713 2456 14 magnitude magnitude NN 39713 2456 15 of of IN 39713 2456 16 each each DT 39713 2456 17 error error NN 39713 2456 18 , , , 39713 2456 19 and and CC 39713 2456 20 consequently consequently RB 39713 2456 21 the the DT 39713 2456 22 probable probable JJ 39713 2456 23 value value NN 39713 2456 24 of of IN 39713 2456 25 the the DT 39713 2456 26 quantity quantity NN 39713 2456 27 to to TO 39713 2456 28 be be VB 39713 2456 29 measured measure VBN 39713 2456 30 . . . 39713 2457 1 But but CC 39713 2457 2 as as IN 39713 2457 3 I -PRON- PRP 39713 2457 4 have have VBP 39713 2457 5 just just RB 39713 2457 6 explained explain VBN 39713 2457 7 , , , 39713 2457 8 we -PRON- PRP 39713 2457 9 should should MD 39713 2457 10 not not RB 39713 2457 11 know know VB 39713 2457 12 how how WRB 39713 2457 13 to to TO 39713 2457 14 undertake undertake VB 39713 2457 15 this this DT 39713 2457 16 calculation calculation NN 39713 2457 17 if if IN 39713 2457 18 we -PRON- PRP 39713 2457 19 did do VBD 39713 2457 20 not not RB 39713 2457 21 admit admit VB 39713 2457 22 _ _ NNP 39713 2457 23 a a DT 39713 2457 24 priori priori FW 39713 2457 25 _ _ NNP 39713 2457 26 , , , 39713 2457 27 that that DT 39713 2457 28 is be VBZ 39713 2457 29 to to TO 39713 2457 30 say say VB 39713 2457 31 , , , 39713 2457 32 before before IN 39713 2457 33 all all DT 39713 2457 34 observation observation NN 39713 2457 35 , , , 39713 2457 36 a a DT 39713 2457 37 law law NN 39713 2457 38 of of IN 39713 2457 39 probability probability NN 39713 2457 40 of of IN 39713 2457 41 errors error NNS 39713 2457 42 . . . 39713 2458 1 Is be VBZ 39713 2458 2 there there EX 39713 2458 3 a a DT 39713 2458 4 law law NN 39713 2458 5 of of IN 39713 2458 6 errors error NNS 39713 2458 7 ? ? . 39713 2459 1 The the DT 39713 2459 2 law law NN 39713 2459 3 of of IN 39713 2459 4 errors error NNS 39713 2459 5 admitted admit VBN 39713 2459 6 by by IN 39713 2459 7 all all DT 39713 2459 8 calculators calculator NNS 39713 2459 9 is be VBZ 39713 2459 10 Gauss Gauss NNP 39713 2459 11 's 's POS 39713 2459 12 law law NN 39713 2459 13 , , , 39713 2459 14 which which WDT 39713 2459 15 is be VBZ 39713 2459 16 represented represent VBN 39713 2459 17 by by IN 39713 2459 18 a a DT 39713 2459 19 certain certain JJ 39713 2459 20 transcendental transcendental JJ 39713 2459 21 curve curve NN 39713 2459 22 known know VBN 39713 2459 23 under under IN 39713 2459 24 the the DT 39713 2459 25 name name NN 39713 2459 26 of of IN 39713 2459 27 ' ' '' 39713 2459 28 the the DT 39713 2459 29 bell bell NNP 39713 2459 30 . . . 39713 2459 31 ' ' '' 39713 2460 1 But but CC 39713 2460 2 first first RB 39713 2460 3 it -PRON- PRP 39713 2460 4 is be VBZ 39713 2460 5 proper proper JJ 39713 2460 6 to to TO 39713 2460 7 recall recall VB 39713 2460 8 the the DT 39713 2460 9 classic classic JJ 39713 2460 10 distinction distinction NN 39713 2460 11 between between IN 39713 2460 12 systematic systematic JJ 39713 2460 13 and and CC 39713 2460 14 accidental accidental JJ 39713 2460 15 errors error NNS 39713 2460 16 . . . 39713 2461 1 If if IN 39713 2461 2 we -PRON- PRP 39713 2461 3 measure measure VBP 39713 2461 4 a a DT 39713 2461 5 length length NN 39713 2461 6 with with IN 39713 2461 7 too too RB 39713 2461 8 long long RB 39713 2461 9 a a DT 39713 2461 10 meter meter NN 39713 2461 11 , , , 39713 2461 12 we -PRON- PRP 39713 2461 13 shall shall MD 39713 2461 14 always always RB 39713 2461 15 find find VB 39713 2461 16 too too RB 39713 2461 17 small small JJ 39713 2461 18 a a DT 39713 2461 19 number number NN 39713 2461 20 , , , 39713 2461 21 and and CC 39713 2461 22 it -PRON- PRP 39713 2461 23 will will MD 39713 2461 24 be be VB 39713 2461 25 of of IN 39713 2461 26 no no DT 39713 2461 27 use use NN 39713 2461 28 to to TO 39713 2461 29 measure measure VB 39713 2461 30 several several JJ 39713 2461 31 times time NNS 39713 2461 32 ; ; : 39713 2461 33 this this DT 39713 2461 34 is be VBZ 39713 2461 35 a a DT 39713 2461 36 systematic systematic JJ 39713 2461 37 error error NN 39713 2461 38 . . . 39713 2462 1 If if IN 39713 2462 2 we -PRON- PRP 39713 2462 3 measure measure VBP 39713 2462 4 with with IN 39713 2462 5 an an DT 39713 2462 6 accurate accurate JJ 39713 2462 7 meter meter NN 39713 2462 8 , , , 39713 2462 9 we -PRON- PRP 39713 2462 10 may may MD 39713 2462 11 , , , 39713 2462 12 however however RB 39713 2462 13 , , , 39713 2462 14 make make VB 39713 2462 15 a a DT 39713 2462 16 mistake mistake NN 39713 2462 17 ; ; : 39713 2462 18 but but CC 39713 2462 19 we -PRON- PRP 39713 2462 20 go go VBP 39713 2462 21 wrong wrong JJ 39713 2462 22 , , , 39713 2462 23 now now RB 39713 2462 24 too too RB 39713 2462 25 much much RB 39713 2462 26 , , , 39713 2462 27 now now RB 39713 2462 28 too too RB 39713 2462 29 little little JJ 39713 2462 30 , , , 39713 2462 31 and and CC 39713 2462 32 when when WRB 39713 2462 33 we -PRON- PRP 39713 2462 34 take take VBP 39713 2462 35 the the DT 39713 2462 36 mean mean NN 39713 2462 37 of of IN 39713 2462 38 a a DT 39713 2462 39 great great JJ 39713 2462 40 number number NN 39713 2462 41 of of IN 39713 2462 42 measurements measurement NNS 39713 2462 43 , , , 39713 2462 44 the the DT 39713 2462 45 error error NN 39713 2462 46 will will MD 39713 2462 47 tend tend VB 39713 2462 48 to to TO 39713 2462 49 grow grow VB 39713 2462 50 small small JJ 39713 2462 51 . . . 39713 2463 1 These these DT 39713 2463 2 are be VBP 39713 2463 3 accidental accidental JJ 39713 2463 4 errors error NNS 39713 2463 5 . . . 39713 2464 1 It -PRON- PRP 39713 2464 2 is be VBZ 39713 2464 3 evident evident JJ 39713 2464 4 from from IN 39713 2464 5 the the DT 39713 2464 6 first first JJ 39713 2464 7 that that IN 39713 2464 8 systematic systematic JJ 39713 2464 9 errors error NNS 39713 2464 10 can can MD 39713 2464 11 not not RB 39713 2464 12 satisfy satisfy VB 39713 2464 13 Gauss Gauss NNP 39713 2464 14 's 's POS 39713 2464 15 law law NN 39713 2464 16 ; ; : 39713 2464 17 but but CC 39713 2464 18 do do VBP 39713 2464 19 the the DT 39713 2464 20 accidental accidental JJ 39713 2464 21 errors error NNS 39713 2464 22 satisfy satisfy VB 39713 2464 23 it -PRON- PRP 39713 2464 24 ? ? . 39713 2465 1 A a DT 39713 2465 2 great great JJ 39713 2465 3 number number NN 39713 2465 4 of of IN 39713 2465 5 demonstrations demonstration NNS 39713 2465 6 have have VBP 39713 2465 7 been be VBN 39713 2465 8 attempted attempt VBN 39713 2465 9 ; ; : 39713 2465 10 almost almost RB 39713 2465 11 all all DT 39713 2465 12 are be VBP 39713 2465 13 crude crude JJ 39713 2465 14 paralogisms paralogism NNS 39713 2465 15 . . . 39713 2466 1 Nevertheless nevertheless RB 39713 2466 2 , , , 39713 2466 3 we -PRON- PRP 39713 2466 4 may may MD 39713 2466 5 demonstrate demonstrate VB 39713 2466 6 Gauss Gauss NNP 39713 2466 7 's 's POS 39713 2466 8 law law NN 39713 2466 9 by by IN 39713 2466 10 starting start VBG 39713 2466 11 from from IN 39713 2466 12 the the DT 39713 2466 13 following follow VBG 39713 2466 14 hypotheses hypothesis NNS 39713 2466 15 : : : 39713 2466 16 the the DT 39713 2466 17 error error NN 39713 2466 18 committed commit VBD 39713 2466 19 is be VBZ 39713 2466 20 the the DT 39713 2466 21 result result NN 39713 2466 22 of of IN 39713 2466 23 a a DT 39713 2466 24 great great JJ 39713 2466 25 number number NN 39713 2466 26 of of IN 39713 2466 27 partial partial JJ 39713 2466 28 and and CC 39713 2466 29 independent independent JJ 39713 2466 30 errors error NNS 39713 2466 31 ; ; : 39713 2466 32 each each DT 39713 2466 33 of of IN 39713 2466 34 the the DT 39713 2466 35 partial partial JJ 39713 2466 36 errors error NNS 39713 2466 37 is be VBZ 39713 2466 38 very very RB 39713 2466 39 little little JJ 39713 2466 40 and and CC 39713 2466 41 besides besides RB 39713 2466 42 , , , 39713 2466 43 obeys obey VBZ 39713 2466 44 any any DT 39713 2466 45 law law NN 39713 2466 46 of of IN 39713 2466 47 probability probability NN 39713 2466 48 , , , 39713 2466 49 provided provide VBN 39713 2466 50 that that IN 39713 2466 51 the the DT 39713 2466 52 probability probability NN 39713 2466 53 of of IN 39713 2466 54 a a DT 39713 2466 55 positive positive JJ 39713 2466 56 error error NN 39713 2466 57 is be VBZ 39713 2466 58 the the DT 39713 2466 59 same same JJ 39713 2466 60 as as IN 39713 2466 61 that that DT 39713 2466 62 of of IN 39713 2466 63 an an DT 39713 2466 64 equal equal JJ 39713 2466 65 negative negative JJ 39713 2466 66 error error NN 39713 2466 67 . . . 39713 2467 1 It -PRON- PRP 39713 2467 2 is be VBZ 39713 2467 3 evident evident JJ 39713 2467 4 that that IN 39713 2467 5 these these DT 39713 2467 6 conditions condition NNS 39713 2467 7 will will MD 39713 2467 8 be be VB 39713 2467 9 often often RB 39713 2467 10 but but CC 39713 2467 11 not not RB 39713 2467 12 always always RB 39713 2467 13 fulfilled fulfil VBN 39713 2467 14 , , , 39713 2467 15 and and CC 39713 2467 16 we -PRON- PRP 39713 2467 17 may may MD 39713 2467 18 reserve reserve VB 39713 2467 19 the the DT 39713 2467 20 name name NN 39713 2467 21 of of IN 39713 2467 22 accidental accidental NN 39713 2467 23 for for IN 39713 2467 24 errors error NNS 39713 2467 25 which which WDT 39713 2467 26 satisfy satisfy VBP 39713 2467 27 them -PRON- PRP 39713 2467 28 . . . 39713 2468 1 We -PRON- PRP 39713 2468 2 see see VBP 39713 2468 3 that that IN 39713 2468 4 the the DT 39713 2468 5 method method NN 39713 2468 6 of of IN 39713 2468 7 least least JJS 39713 2468 8 squares square NNS 39713 2468 9 is be VBZ 39713 2468 10 not not RB 39713 2468 11 legitimate legitimate JJ 39713 2468 12 in in IN 39713 2468 13 every every DT 39713 2468 14 case case NN 39713 2468 15 ; ; : 39713 2468 16 in in IN 39713 2468 17 general general JJ 39713 2468 18 the the DT 39713 2468 19 physicists physicist NNS 39713 2468 20 are be VBP 39713 2468 21 more more RBR 39713 2468 22 distrustful distrustful JJ 39713 2468 23 of of IN 39713 2468 24 it -PRON- PRP 39713 2468 25 than than IN 39713 2468 26 the the DT 39713 2468 27 astronomers astronomer NNS 39713 2468 28 . . . 39713 2469 1 This this DT 39713 2469 2 is be VBZ 39713 2469 3 , , , 39713 2469 4 no no RB 39713 2469 5 doubt doubt RB 39713 2469 6 , , , 39713 2469 7 because because IN 39713 2469 8 the the DT 39713 2469 9 latter latter JJ 39713 2469 10 , , , 39713 2469 11 besides besides IN 39713 2469 12 the the DT 39713 2469 13 systematic systematic JJ 39713 2469 14 errors error NNS 39713 2469 15 to to TO 39713 2469 16 which which WDT 39713 2469 17 they -PRON- PRP 39713 2469 18 and and CC 39713 2469 19 the the DT 39713 2469 20 physicists physicist NNS 39713 2469 21 are be VBP 39713 2469 22 subject subject JJ 39713 2469 23 alike alike RB 39713 2469 24 , , , 39713 2469 25 have have VBP 39713 2469 26 to to TO 39713 2469 27 control control VB 39713 2469 28 with with IN 39713 2469 29 an an DT 39713 2469 30 extremely extremely RB 39713 2469 31 important important JJ 39713 2469 32 source source NN 39713 2469 33 of of IN 39713 2469 34 error error NN 39713 2469 35 which which WDT 39713 2469 36 is be VBZ 39713 2469 37 wholly wholly RB 39713 2469 38 accidental accidental JJ 39713 2469 39 ; ; : 39713 2469 40 I -PRON- PRP 39713 2469 41 mean mean VBP 39713 2469 42 atmospheric atmospheric JJ 39713 2469 43 undulations undulation NNS 39713 2469 44 . . . 39713 2470 1 So so CC 39713 2470 2 it -PRON- PRP 39713 2470 3 is be VBZ 39713 2470 4 very very RB 39713 2470 5 curious curious JJ 39713 2470 6 to to TO 39713 2470 7 hear hear VB 39713 2470 8 a a DT 39713 2470 9 physicist physicist JJ 39713 2470 10 discuss discuss NN 39713 2470 11 with with IN 39713 2470 12 an an DT 39713 2470 13 astronomer astronomer NN 39713 2470 14 about about IN 39713 2470 15 a a DT 39713 2470 16 method method NN 39713 2470 17 of of IN 39713 2470 18 observation observation NN 39713 2470 19 . . . 39713 2471 1 The the DT 39713 2471 2 physicist physicist NN 39713 2471 3 , , , 39713 2471 4 persuaded persuade VBD 39713 2471 5 that that IN 39713 2471 6 one one CD 39713 2471 7 good good JJ 39713 2471 8 measurement measurement NN 39713 2471 9 is be VBZ 39713 2471 10 worth worth JJ 39713 2471 11 more more JJR 39713 2471 12 than than IN 39713 2471 13 many many JJ 39713 2471 14 bad bad JJ 39713 2471 15 ones one NNS 39713 2471 16 , , , 39713 2471 17 is be VBZ 39713 2471 18 before before RB 39713 2471 19 all all DT 39713 2471 20 concerned concerned JJ 39713 2471 21 with with IN 39713 2471 22 eliminating eliminate VBG 39713 2471 23 by by IN 39713 2471 24 dint dint NN 39713 2471 25 of of IN 39713 2471 26 precautions precaution NNS 39713 2471 27 the the DT 39713 2471 28 least least JJS 39713 2471 29 systematic systematic JJ 39713 2471 30 errors error NNS 39713 2471 31 , , , 39713 2471 32 and and CC 39713 2471 33 the the DT 39713 2471 34 astronomer astronomer NN 39713 2471 35 says say VBZ 39713 2471 36 to to IN 39713 2471 37 him -PRON- PRP 39713 2471 38 : : : 39713 2471 39 ' ' '' 39713 2471 40 But but CC 39713 2471 41 thus thus RB 39713 2471 42 you -PRON- PRP 39713 2471 43 can can MD 39713 2471 44 observe observe VB 39713 2471 45 only only RB 39713 2471 46 a a DT 39713 2471 47 small small JJ 39713 2471 48 number number NN 39713 2471 49 of of IN 39713 2471 50 stars star NNS 39713 2471 51 ; ; : 39713 2471 52 the the DT 39713 2471 53 accidental accidental JJ 39713 2471 54 errors error NNS 39713 2471 55 will will MD 39713 2471 56 not not RB 39713 2471 57 disappear disappear VB 39713 2471 58 . . . 39713 2471 59 ' ' '' 39713 2472 1 What what WP 39713 2472 2 should should MD 39713 2472 3 we -PRON- PRP 39713 2472 4 conclude conclude VB 39713 2472 5 ? ? . 39713 2473 1 Must Must MD 39713 2473 2 we -PRON- PRP 39713 2473 3 continue continue VB 39713 2473 4 to to TO 39713 2473 5 use use VB 39713 2473 6 the the DT 39713 2473 7 method method NN 39713 2473 8 of of IN 39713 2473 9 least least JJS 39713 2473 10 squares square NNS 39713 2473 11 ? ? . 39713 2474 1 We -PRON- PRP 39713 2474 2 must must MD 39713 2474 3 distinguish distinguish VB 39713 2474 4 . . . 39713 2475 1 We -PRON- PRP 39713 2475 2 have have VBP 39713 2475 3 eliminated eliminate VBN 39713 2475 4 all all PDT 39713 2475 5 the the DT 39713 2475 6 systematic systematic JJ 39713 2475 7 errors error NNS 39713 2475 8 we -PRON- PRP 39713 2475 9 could could MD 39713 2475 10 suspect suspect VB 39713 2475 11 ; ; : 39713 2475 12 we -PRON- PRP 39713 2475 13 know know VBP 39713 2475 14 well well RB 39713 2475 15 there there EX 39713 2475 16 are be VBP 39713 2475 17 still still RB 39713 2475 18 others other NNS 39713 2475 19 , , , 39713 2475 20 but but CC 39713 2475 21 we -PRON- PRP 39713 2475 22 can can MD 39713 2475 23 not not RB 39713 2475 24 detect detect VB 39713 2475 25 them -PRON- PRP 39713 2475 26 ; ; : 39713 2475 27 yet yet CC 39713 2475 28 it -PRON- PRP 39713 2475 29 is be VBZ 39713 2475 30 necessary necessary JJ 39713 2475 31 to to TO 39713 2475 32 make make VB 39713 2475 33 up up RP 39713 2475 34 our -PRON- PRP$ 39713 2475 35 mind mind NN 39713 2475 36 and and CC 39713 2475 37 adopt adopt VB 39713 2475 38 a a DT 39713 2475 39 definitive definitive JJ 39713 2475 40 value value NN 39713 2475 41 which which WDT 39713 2475 42 will will MD 39713 2475 43 be be VB 39713 2475 44 regarded regard VBN 39713 2475 45 as as IN 39713 2475 46 the the DT 39713 2475 47 probable probable JJ 39713 2475 48 value value NN 39713 2475 49 ; ; : 39713 2475 50 and and CC 39713 2475 51 for for IN 39713 2475 52 that that DT 39713 2475 53 it -PRON- PRP 39713 2475 54 is be VBZ 39713 2475 55 evident evident JJ 39713 2475 56 the the DT 39713 2475 57 best good JJS 39713 2475 58 thing thing NN 39713 2475 59 to to TO 39713 2475 60 do do VB 39713 2475 61 is be VBZ 39713 2475 62 to to TO 39713 2475 63 apply apply VB 39713 2475 64 Gauss Gauss NNP 39713 2475 65 's 's POS 39713 2475 66 method method NN 39713 2475 67 . . . 39713 2476 1 We -PRON- PRP 39713 2476 2 have have VBP 39713 2476 3 only only RB 39713 2476 4 applied apply VBN 39713 2476 5 a a DT 39713 2476 6 practical practical JJ 39713 2476 7 rule rule NN 39713 2476 8 referring refer VBG 39713 2476 9 to to IN 39713 2476 10 subjective subjective JJ 39713 2476 11 probability probability NN 39713 2476 12 . . . 39713 2477 1 There there EX 39713 2477 2 is be VBZ 39713 2477 3 nothing nothing NN 39713 2477 4 more more JJR 39713 2477 5 to to TO 39713 2477 6 be be VB 39713 2477 7 said say VBN 39713 2477 8 . . . 39713 2478 1 But but CC 39713 2478 2 we -PRON- PRP 39713 2478 3 wish wish VBP 39713 2478 4 to to TO 39713 2478 5 go go VB 39713 2478 6 farther farther RB 39713 2478 7 and and CC 39713 2478 8 affirm affirm VB 39713 2478 9 that that IN 39713 2478 10 not not RB 39713 2478 11 only only RB 39713 2478 12 is be VBZ 39713 2478 13 the the DT 39713 2478 14 probable probable JJ 39713 2478 15 value value NN 39713 2478 16 so so RB 39713 2478 17 much much RB 39713 2478 18 , , , 39713 2478 19 but but CC 39713 2478 20 that that IN 39713 2478 21 the the DT 39713 2478 22 probable probable JJ 39713 2478 23 error error NN 39713 2478 24 in in IN 39713 2478 25 the the DT 39713 2478 26 result result NN 39713 2478 27 is be VBZ 39713 2478 28 so so RB 39713 2478 29 much much JJ 39713 2478 30 . . . 39713 2479 1 _ _ NNP 39713 2479 2 This this DT 39713 2479 3 is be VBZ 39713 2479 4 absolutely absolutely RB 39713 2479 5 illegitimate illegitimate JJ 39713 2479 6 _ _ NNP 39713 2479 7 ; ; : 39713 2479 8 it -PRON- PRP 39713 2479 9 would would MD 39713 2479 10 be be VB 39713 2479 11 true true JJ 39713 2479 12 only only RB 39713 2479 13 if if IN 39713 2479 14 we -PRON- PRP 39713 2479 15 were be VBD 39713 2479 16 sure sure JJ 39713 2479 17 that that IN 39713 2479 18 all all PDT 39713 2479 19 the the DT 39713 2479 20 systematic systematic JJ 39713 2479 21 errors error NNS 39713 2479 22 were be VBD 39713 2479 23 eliminated eliminate VBN 39713 2479 24 , , , 39713 2479 25 and and CC 39713 2479 26 of of IN 39713 2479 27 that that DT 39713 2479 28 we -PRON- PRP 39713 2479 29 know know VBP 39713 2479 30 absolutely absolutely RB 39713 2479 31 nothing nothing NN 39713 2479 32 . . . 39713 2480 1 We -PRON- PRP 39713 2480 2 have have VBP 39713 2480 3 two two CD 39713 2480 4 series serie NNS 39713 2480 5 of of IN 39713 2480 6 observations observation NNS 39713 2480 7 ; ; : 39713 2480 8 by by IN 39713 2480 9 applying apply VBG 39713 2480 10 the the DT 39713 2480 11 rule rule NN 39713 2480 12 of of IN 39713 2480 13 least least JJS 39713 2480 14 squares square NNS 39713 2480 15 , , , 39713 2480 16 we -PRON- PRP 39713 2480 17 find find VBP 39713 2480 18 that that IN 39713 2480 19 the the DT 39713 2480 20 probable probable JJ 39713 2480 21 error error NN 39713 2480 22 in in IN 39713 2480 23 the the DT 39713 2480 24 first first JJ 39713 2480 25 series series NN 39713 2480 26 is be VBZ 39713 2480 27 twice twice RB 39713 2480 28 as as RB 39713 2480 29 small small JJ 39713 2480 30 as as IN 39713 2480 31 in in IN 39713 2480 32 the the DT 39713 2480 33 second second NN 39713 2480 34 . . . 39713 2481 1 The the DT 39713 2481 2 second second JJ 39713 2481 3 series series NN 39713 2481 4 may may MD 39713 2481 5 , , , 39713 2481 6 however however RB 39713 2481 7 , , , 39713 2481 8 be be VB 39713 2481 9 better well JJR 39713 2481 10 than than IN 39713 2481 11 the the DT 39713 2481 12 first first JJ 39713 2481 13 , , , 39713 2481 14 because because IN 39713 2481 15 the the DT 39713 2481 16 first first JJ 39713 2481 17 perhaps perhaps RB 39713 2481 18 is be VBZ 39713 2481 19 affected affect VBN 39713 2481 20 by by IN 39713 2481 21 a a DT 39713 2481 22 large large JJ 39713 2481 23 systematic systematic JJ 39713 2481 24 error error NN 39713 2481 25 . . . 39713 2482 1 All all DT 39713 2482 2 we -PRON- PRP 39713 2482 3 can can MD 39713 2482 4 say say VB 39713 2482 5 is be VBZ 39713 2482 6 that that IN 39713 2482 7 the the DT 39713 2482 8 first first JJ 39713 2482 9 series series NN 39713 2482 10 is be VBZ 39713 2482 11 _ _ NNP 39713 2482 12 probably probably RB 39713 2482 13 _ _ NNP 39713 2482 14 better well RBR 39713 2482 15 than than IN 39713 2482 16 the the DT 39713 2482 17 second second JJ 39713 2482 18 , , , 39713 2482 19 since since IN 39713 2482 20 its -PRON- PRP$ 39713 2482 21 accidental accidental JJ 39713 2482 22 error error NN 39713 2482 23 is be VBZ 39713 2482 24 smaller small JJR 39713 2482 25 , , , 39713 2482 26 and and CC 39713 2482 27 we -PRON- PRP 39713 2482 28 have have VBP 39713 2482 29 no no DT 39713 2482 30 reason reason NN 39713 2482 31 to to TO 39713 2482 32 affirm affirm VB 39713 2482 33 that that IN 39713 2482 34 the the DT 39713 2482 35 systematic systematic JJ 39713 2482 36 error error NN 39713 2482 37 is be VBZ 39713 2482 38 greater great JJR 39713 2482 39 for for IN 39713 2482 40 one one CD 39713 2482 41 of of IN 39713 2482 42 the the DT 39713 2482 43 series series NN 39713 2482 44 than than IN 39713 2482 45 for for IN 39713 2482 46 the the DT 39713 2482 47 other other JJ 39713 2482 48 , , , 39713 2482 49 our -PRON- PRP$ 39713 2482 50 ignorance ignorance NN 39713 2482 51 on on IN 39713 2482 52 this this DT 39713 2482 53 point point NN 39713 2482 54 being be VBG 39713 2482 55 absolute absolute JJ 39713 2482 56 . . . 39713 2483 1 VII VII NNP 39713 2483 2 . . . 39713 2484 1 CONCLUSIONS.--In conclusions.--in VB 39713 2484 2 the the DT 39713 2484 3 lines line NNS 39713 2484 4 which which WDT 39713 2484 5 precede precede VBP 39713 2484 6 , , , 39713 2484 7 I -PRON- PRP 39713 2484 8 have have VBP 39713 2484 9 set set VBN 39713 2484 10 many many JJ 39713 2484 11 problems problem NNS 39713 2484 12 without without IN 39713 2484 13 solving solve VBG 39713 2484 14 any any DT 39713 2484 15 of of IN 39713 2484 16 them -PRON- PRP 39713 2484 17 . . . 39713 2485 1 Yet yet CC 39713 2485 2 I -PRON- PRP 39713 2485 3 do do VBP 39713 2485 4 not not RB 39713 2485 5 regret regret VB 39713 2485 6 having have VBG 39713 2485 7 written write VBN 39713 2485 8 them -PRON- PRP 39713 2485 9 , , , 39713 2485 10 because because IN 39713 2485 11 they -PRON- PRP 39713 2485 12 will will MD 39713 2485 13 perhaps perhaps RB 39713 2485 14 invite invite VB 39713 2485 15 the the DT 39713 2485 16 reader reader NN 39713 2485 17 to to TO 39713 2485 18 reflect reflect VB 39713 2485 19 on on IN 39713 2485 20 these these DT 39713 2485 21 delicate delicate JJ 39713 2485 22 questions question NNS 39713 2485 23 . . . 39713 2486 1 However however RB 39713 2486 2 that that DT 39713 2486 3 may may MD 39713 2486 4 be be VB 39713 2486 5 , , , 39713 2486 6 there there EX 39713 2486 7 are be VBP 39713 2486 8 certain certain JJ 39713 2486 9 points point NNS 39713 2486 10 which which WDT 39713 2486 11 seem seem VBP 39713 2486 12 well well RB 39713 2486 13 established establish VBN 39713 2486 14 . . . 39713 2487 1 To to TO 39713 2487 2 undertake undertake VB 39713 2487 3 any any DT 39713 2487 4 calculation calculation NN 39713 2487 5 of of IN 39713 2487 6 probability probability NN 39713 2487 7 , , , 39713 2487 8 and and CC 39713 2487 9 even even RB 39713 2487 10 for for IN 39713 2487 11 that that DT 39713 2487 12 calculation calculation NN 39713 2487 13 to to TO 39713 2487 14 have have VB 39713 2487 15 any any DT 39713 2487 16 meaning meaning NN 39713 2487 17 , , , 39713 2487 18 it -PRON- PRP 39713 2487 19 is be VBZ 39713 2487 20 necessary necessary JJ 39713 2487 21 to to TO 39713 2487 22 admit admit VB 39713 2487 23 , , , 39713 2487 24 as as IN 39713 2487 25 point point NN 39713 2487 26 of of IN 39713 2487 27 departure departure NN 39713 2487 28 , , , 39713 2487 29 a a DT 39713 2487 30 hypothesis hypothesis NN 39713 2487 31 or or CC 39713 2487 32 convention convention NN 39713 2487 33 which which WDT 39713 2487 34 has have VBZ 39713 2487 35 always always RB 39713 2487 36 something something NN 39713 2487 37 arbitrary arbitrary JJ 39713 2487 38 about about IN 39713 2487 39 it -PRON- PRP 39713 2487 40 . . . 39713 2488 1 In in IN 39713 2488 2 the the DT 39713 2488 3 choice choice NN 39713 2488 4 of of IN 39713 2488 5 this this DT 39713 2488 6 convention convention NN 39713 2488 7 , , , 39713 2488 8 we -PRON- PRP 39713 2488 9 can can MD 39713 2488 10 be be VB 39713 2488 11 guided guide VBN 39713 2488 12 only only RB 39713 2488 13 by by IN 39713 2488 14 the the DT 39713 2488 15 principle principle NN 39713 2488 16 of of IN 39713 2488 17 sufficient sufficient JJ 39713 2488 18 reason reason NN 39713 2488 19 . . . 39713 2489 1 Unfortunately unfortunately RB 39713 2489 2 this this DT 39713 2489 3 principle principle NN 39713 2489 4 is be VBZ 39713 2489 5 very very RB 39713 2489 6 vague vague JJ 39713 2489 7 and and CC 39713 2489 8 very very RB 39713 2489 9 elastic elastic JJ 39713 2489 10 , , , 39713 2489 11 and and CC 39713 2489 12 in in IN 39713 2489 13 the the DT 39713 2489 14 cursory cursory JJ 39713 2489 15 examination examination NN 39713 2489 16 we -PRON- PRP 39713 2489 17 have have VBP 39713 2489 18 just just RB 39713 2489 19 made make VBN 39713 2489 20 , , , 39713 2489 21 we -PRON- PRP 39713 2489 22 have have VBP 39713 2489 23 seen see VBN 39713 2489 24 it -PRON- PRP 39713 2489 25 take take VB 39713 2489 26 many many JJ 39713 2489 27 different different JJ 39713 2489 28 forms form NNS 39713 2489 29 . . . 39713 2490 1 The the DT 39713 2490 2 form form NN 39713 2490 3 under under IN 39713 2490 4 which which WDT 39713 2490 5 we -PRON- PRP 39713 2490 6 have have VBP 39713 2490 7 met meet VBN 39713 2490 8 it -PRON- PRP 39713 2490 9 most most RBS 39713 2490 10 often often RB 39713 2490 11 is be VBZ 39713 2490 12 the the DT 39713 2490 13 belief belief NN 39713 2490 14 in in IN 39713 2490 15 continuity continuity NN 39713 2490 16 , , , 39713 2490 17 a a DT 39713 2490 18 belief belief NN 39713 2490 19 which which WDT 39713 2490 20 it -PRON- PRP 39713 2490 21 would would MD 39713 2490 22 be be VB 39713 2490 23 difficult difficult JJ 39713 2490 24 to to TO 39713 2490 25 justify justify VB 39713 2490 26 by by IN 39713 2490 27 apodeictic apodeictic JJ 39713 2490 28 reasoning reasoning NN 39713 2490 29 , , , 39713 2490 30 but but CC 39713 2490 31 without without IN 39713 2490 32 which which WDT 39713 2490 33 all all DT 39713 2490 34 science science NN 39713 2490 35 would would MD 39713 2490 36 be be VB 39713 2490 37 impossible impossible JJ 39713 2490 38 . . . 39713 2491 1 Finally finally RB 39713 2491 2 the the DT 39713 2491 3 problems problem NNS 39713 2491 4 to to TO 39713 2491 5 which which WDT 39713 2491 6 the the DT 39713 2491 7 calculus calculus NN 39713 2491 8 of of IN 39713 2491 9 probabilities probability NNS 39713 2491 10 may may MD 39713 2491 11 be be VB 39713 2491 12 applied apply VBN 39713 2491 13 with with IN 39713 2491 14 profit profit NN 39713 2491 15 are be VBP 39713 2491 16 those those DT 39713 2491 17 in in IN 39713 2491 18 which which WDT 39713 2491 19 the the DT 39713 2491 20 result result NN 39713 2491 21 is be VBZ 39713 2491 22 independent independent JJ 39713 2491 23 of of IN 39713 2491 24 the the DT 39713 2491 25 hypothesis hypothesis NN 39713 2491 26 made make VBN 39713 2491 27 at at IN 39713 2491 28 the the DT 39713 2491 29 outset outset NN 39713 2491 30 , , , 39713 2491 31 provided provide VBN 39713 2491 32 only only RB 39713 2491 33 that that IN 39713 2491 34 this this DT 39713 2491 35 hypothesis hypothesis NN 39713 2491 36 satisfies satisfy VBZ 39713 2491 37 the the DT 39713 2491 38 condition condition NN 39713 2491 39 of of IN 39713 2491 40 continuity continuity NN 39713 2491 41 . . . 39713 2492 1 CHAPTER chapter NN 39713 2492 2 XII XII NNP 39713 2492 3 OPTICS optics NN 39713 2492 4 AND and CC 39713 2492 5 ELECTRICITY ELECTRICITY NNP 39713 2492 6 FRESNEL FRESNEL NNP 39713 2492 7 'S 'S NNP 39713 2492 8 THEORY.--The theory.--the NN 39713 2492 9 best good JJS 39713 2492 10 example[5 example[5 NNP 39713 2492 11 ] ] -RRB- 39713 2492 12 that that WDT 39713 2492 13 can can MD 39713 2492 14 be be VB 39713 2492 15 chosen choose VBN 39713 2492 16 of of IN 39713 2492 17 physics physics NN 39713 2492 18 in in IN 39713 2492 19 the the DT 39713 2492 20 making making NN 39713 2492 21 is be VBZ 39713 2492 22 the the DT 39713 2492 23 theory theory NN 39713 2492 24 of of IN 39713 2492 25 light light NN 39713 2492 26 and and CC 39713 2492 27 its -PRON- PRP$ 39713 2492 28 relations relation NNS 39713 2492 29 to to IN 39713 2492 30 the the DT 39713 2492 31 theory theory NN 39713 2492 32 of of IN 39713 2492 33 electricity electricity NN 39713 2492 34 . . . 39713 2493 1 Thanks thank NNS 39713 2493 2 to to IN 39713 2493 3 Fresnel Fresnel NNP 39713 2493 4 , , , 39713 2493 5 optics optic NNS 39713 2493 6 is be VBZ 39713 2493 7 the the DT 39713 2493 8 best good JJS 39713 2493 9 developed developed JJ 39713 2493 10 part part NN 39713 2493 11 of of IN 39713 2493 12 physics physics NN 39713 2493 13 ; ; : 39713 2493 14 the the DT 39713 2493 15 so so RB 39713 2493 16 - - HYPH 39713 2493 17 called call VBN 39713 2493 18 wave wave NN 39713 2493 19 - - HYPH 39713 2493 20 theory theory NN 39713 2493 21 forms form VBZ 39713 2493 22 a a DT 39713 2493 23 whole whole NN 39713 2493 24 truly truly RB 39713 2493 25 satisfying satisfy VBG 39713 2493 26 to to IN 39713 2493 27 the the DT 39713 2493 28 mind mind NN 39713 2493 29 . . . 39713 2494 1 We -PRON- PRP 39713 2494 2 must must MD 39713 2494 3 not not RB 39713 2494 4 , , , 39713 2494 5 however however RB 39713 2494 6 , , , 39713 2494 7 ask ask VB 39713 2494 8 of of IN 39713 2494 9 it -PRON- PRP 39713 2494 10 what what WP 39713 2494 11 it -PRON- PRP 39713 2494 12 can can MD 39713 2494 13 not not RB 39713 2494 14 give give VB 39713 2494 15 us -PRON- PRP 39713 2494 16 . . . 39713 2495 1 [ [ -LRB- 39713 2495 2 5 5 LS 39713 2495 3 ] ] -RRB- 39713 2495 4 This this DT 39713 2495 5 chapter chapter NN 39713 2495 6 is be VBZ 39713 2495 7 a a DT 39713 2495 8 partial partial JJ 39713 2495 9 reproduction reproduction NN 39713 2495 10 of of IN 39713 2495 11 the the DT 39713 2495 12 prefaces preface NNS 39713 2495 13 of of IN 39713 2495 14 two two CD 39713 2495 15 of of IN 39713 2495 16 my -PRON- PRP$ 39713 2495 17 works work NNS 39713 2495 18 : : : 39713 2495 19 _ _ NNP 39713 2495 20 Théorie Théorie NNP 39713 2495 21 mathématique mathématique NN 39713 2495 22 de de FW 39713 2495 23 la la NNP 39713 2495 24 lumière lumière NNP 39713 2495 25 _ _ NNP 39713 2495 26 ( ( -LRB- 39713 2495 27 Paris Paris NNP 39713 2495 28 , , , 39713 2495 29 Naud Naud NNP 39713 2495 30 , , , 39713 2495 31 1889 1889 CD 39713 2495 32 ) ) -RRB- 39713 2495 33 , , , 39713 2495 34 and and CC 39713 2495 35 _ _ NNP 39713 2495 36 Électricité Électricité NNP 39713 2495 37 et et NNP 39713 2495 38 optique optique NNP 39713 2495 39 _ _ NNP 39713 2495 40 ( ( -LRB- 39713 2495 41 Paris Paris NNP 39713 2495 42 , , , 39713 2495 43 Naud Naud NNP 39713 2495 44 , , , 39713 2495 45 1901 1901 CD 39713 2495 46 ) ) -RRB- 39713 2495 47 . . . 39713 2496 1 The the DT 39713 2496 2 object object NN 39713 2496 3 of of IN 39713 2496 4 mathematical mathematical JJ 39713 2496 5 theories theory NNS 39713 2496 6 is be VBZ 39713 2496 7 not not RB 39713 2496 8 to to TO 39713 2496 9 reveal reveal VB 39713 2496 10 to to IN 39713 2496 11 us -PRON- PRP 39713 2496 12 the the DT 39713 2496 13 true true JJ 39713 2496 14 nature nature NN 39713 2496 15 of of IN 39713 2496 16 things thing NNS 39713 2496 17 ; ; : 39713 2496 18 this this DT 39713 2496 19 would would MD 39713 2496 20 be be VB 39713 2496 21 an an DT 39713 2496 22 unreasonable unreasonable JJ 39713 2496 23 pretension pretension NN 39713 2496 24 . . . 39713 2497 1 Their -PRON- PRP$ 39713 2497 2 sole sole JJ 39713 2497 3 aim aim NN 39713 2497 4 is be VBZ 39713 2497 5 to to TO 39713 2497 6 coordinate coordinate VB 39713 2497 7 the the DT 39713 2497 8 physical physical JJ 39713 2497 9 laws law NNS 39713 2497 10 which which WDT 39713 2497 11 experiment experiment NN 39713 2497 12 reveals reveal VBZ 39713 2497 13 to to IN 39713 2497 14 us -PRON- PRP 39713 2497 15 , , , 39713 2497 16 but but CC 39713 2497 17 which which WDT 39713 2497 18 , , , 39713 2497 19 without without IN 39713 2497 20 the the DT 39713 2497 21 help help NN 39713 2497 22 of of IN 39713 2497 23 mathematics mathematic NNS 39713 2497 24 , , , 39713 2497 25 we -PRON- PRP 39713 2497 26 should should MD 39713 2497 27 not not RB 39713 2497 28 be be VB 39713 2497 29 able able JJ 39713 2497 30 even even RB 39713 2497 31 to to IN 39713 2497 32 state state NN 39713 2497 33 . . . 39713 2498 1 It -PRON- PRP 39713 2498 2 matters matter VBZ 39713 2498 3 little little JJ 39713 2498 4 whether whether IN 39713 2498 5 the the DT 39713 2498 6 ether ether NN 39713 2498 7 really really RB 39713 2498 8 exists exist VBZ 39713 2498 9 ; ; : 39713 2498 10 that that DT 39713 2498 11 is be VBZ 39713 2498 12 the the DT 39713 2498 13 affair affair NN 39713 2498 14 of of IN 39713 2498 15 metaphysicians metaphysicians NNPS 39713 2498 16 . . . 39713 2499 1 The the DT 39713 2499 2 essential essential JJ 39713 2499 3 thing thing NN 39713 2499 4 for for IN 39713 2499 5 us -PRON- PRP 39713 2499 6 is be VBZ 39713 2499 7 that that IN 39713 2499 8 everything everything NN 39713 2499 9 happens happen VBZ 39713 2499 10 as as IN 39713 2499 11 if if IN 39713 2499 12 it -PRON- PRP 39713 2499 13 existed exist VBD 39713 2499 14 , , , 39713 2499 15 and and CC 39713 2499 16 that that IN 39713 2499 17 this this DT 39713 2499 18 hypothesis hypothesis NN 39713 2499 19 is be VBZ 39713 2499 20 convenient convenient JJ 39713 2499 21 for for IN 39713 2499 22 the the DT 39713 2499 23 explanation explanation NN 39713 2499 24 of of IN 39713 2499 25 phenomena phenomena NNP 39713 2499 26 . . . 39713 2500 1 After after RB 39713 2500 2 all all RB 39713 2500 3 , , , 39713 2500 4 have have VBP 39713 2500 5 we -PRON- PRP 39713 2500 6 any any DT 39713 2500 7 other other JJ 39713 2500 8 reason reason NN 39713 2500 9 to to TO 39713 2500 10 believe believe VB 39713 2500 11 in in IN 39713 2500 12 the the DT 39713 2500 13 existence existence NN 39713 2500 14 of of IN 39713 2500 15 material material JJ 39713 2500 16 objects object NNS 39713 2500 17 ? ? . 39713 2501 1 That that IN 39713 2501 2 , , , 39713 2501 3 too too RB 39713 2501 4 , , , 39713 2501 5 is be VBZ 39713 2501 6 only only RB 39713 2501 7 a a DT 39713 2501 8 convenient convenient JJ 39713 2501 9 hypothesis hypothesis NN 39713 2501 10 ; ; : 39713 2501 11 only only RB 39713 2501 12 this this DT 39713 2501 13 will will MD 39713 2501 14 never never RB 39713 2501 15 cease cease VB 39713 2501 16 to to TO 39713 2501 17 be be VB 39713 2501 18 so so RB 39713 2501 19 , , , 39713 2501 20 whereas whereas IN 39713 2501 21 , , , 39713 2501 22 no no RB 39713 2501 23 doubt doubt RB 39713 2501 24 , , , 39713 2501 25 some some DT 39713 2501 26 day day NN 39713 2501 27 the the DT 39713 2501 28 ether ether NN 39713 2501 29 will will MD 39713 2501 30 be be VB 39713 2501 31 thrown throw VBN 39713 2501 32 aside aside RB 39713 2501 33 as as IN 39713 2501 34 useless useless JJ 39713 2501 35 . . . 39713 2502 1 But but CC 39713 2502 2 even even RB 39713 2502 3 at at IN 39713 2502 4 that that DT 39713 2502 5 day day NN 39713 2502 6 , , , 39713 2502 7 the the DT 39713 2502 8 laws law NNS 39713 2502 9 of of IN 39713 2502 10 optics optic NNS 39713 2502 11 and and CC 39713 2502 12 the the DT 39713 2502 13 equations equation NNS 39713 2502 14 which which WDT 39713 2502 15 translate translate VBP 39713 2502 16 them -PRON- PRP 39713 2502 17 analytically analytically RB 39713 2502 18 will will MD 39713 2502 19 remain remain VB 39713 2502 20 true true JJ 39713 2502 21 , , , 39713 2502 22 at at IN 39713 2502 23 least least JJS 39713 2502 24 as as IN 39713 2502 25 a a DT 39713 2502 26 first first JJ 39713 2502 27 approximation approximation NN 39713 2502 28 . . . 39713 2503 1 It -PRON- PRP 39713 2503 2 will will MD 39713 2503 3 always always RB 39713 2503 4 be be VB 39713 2503 5 useful useful JJ 39713 2503 6 , , , 39713 2503 7 then then RB 39713 2503 8 , , , 39713 2503 9 to to TO 39713 2503 10 study study VB 39713 2503 11 a a DT 39713 2503 12 doctrine doctrine NN 39713 2503 13 that that WDT 39713 2503 14 unites unite VBZ 39713 2503 15 all all PDT 39713 2503 16 these these DT 39713 2503 17 equations equation NNS 39713 2503 18 . . . 39713 2504 1 The the DT 39713 2504 2 undulatory undulatory JJ 39713 2504 3 theory theory NN 39713 2504 4 rests rest VBZ 39713 2504 5 on on IN 39713 2504 6 a a DT 39713 2504 7 molecular molecular JJ 39713 2504 8 hypothesis hypothesis NN 39713 2504 9 . . . 39713 2505 1 For for IN 39713 2505 2 those those DT 39713 2505 3 who who WP 39713 2505 4 think think VBP 39713 2505 5 they -PRON- PRP 39713 2505 6 have have VBP 39713 2505 7 thus thus RB 39713 2505 8 discovered discover VBN 39713 2505 9 the the DT 39713 2505 10 cause cause NN 39713 2505 11 under under IN 39713 2505 12 the the DT 39713 2505 13 law law NN 39713 2505 14 , , , 39713 2505 15 this this DT 39713 2505 16 is be VBZ 39713 2505 17 an an DT 39713 2505 18 advantage advantage NN 39713 2505 19 . . . 39713 2506 1 For for IN 39713 2506 2 the the DT 39713 2506 3 others other NNS 39713 2506 4 it -PRON- PRP 39713 2506 5 is be VBZ 39713 2506 6 a a DT 39713 2506 7 reason reason NN 39713 2506 8 for for IN 39713 2506 9 distrust distrust NNP 39713 2506 10 . . . 39713 2507 1 But but CC 39713 2507 2 this this DT 39713 2507 3 distrust distrust NN 39713 2507 4 seems seem VBZ 39713 2507 5 to to IN 39713 2507 6 me -PRON- PRP 39713 2507 7 as as RB 39713 2507 8 little little JJ 39713 2507 9 justified justified JJ 39713 2507 10 as as IN 39713 2507 11 the the DT 39713 2507 12 illusion illusion NN 39713 2507 13 of of IN 39713 2507 14 the the DT 39713 2507 15 former former JJ 39713 2507 16 . . . 39713 2508 1 These these DT 39713 2508 2 hypotheses hypothesis NNS 39713 2508 3 play play VBP 39713 2508 4 only only RB 39713 2508 5 a a DT 39713 2508 6 secondary secondary JJ 39713 2508 7 part part NN 39713 2508 8 . . . 39713 2509 1 They -PRON- PRP 39713 2509 2 might may MD 39713 2509 3 be be VB 39713 2509 4 sacrificed sacrifice VBN 39713 2509 5 . . . 39713 2510 1 They -PRON- PRP 39713 2510 2 usually usually RB 39713 2510 3 are be VBP 39713 2510 4 not not RB 39713 2510 5 , , , 39713 2510 6 because because IN 39713 2510 7 then then RB 39713 2510 8 the the DT 39713 2510 9 explanation explanation NN 39713 2510 10 would would MD 39713 2510 11 lose lose VB 39713 2510 12 in in IN 39713 2510 13 clearness clearness NN 39713 2510 14 ; ; : 39713 2510 15 but but CC 39713 2510 16 that that DT 39713 2510 17 is be VBZ 39713 2510 18 the the DT 39713 2510 19 only only JJ 39713 2510 20 reason reason NN 39713 2510 21 . . . 39713 2511 1 In in IN 39713 2511 2 fact fact NN 39713 2511 3 , , , 39713 2511 4 if if IN 39713 2511 5 we -PRON- PRP 39713 2511 6 looked look VBD 39713 2511 7 closer close RBR 39713 2511 8 we -PRON- PRP 39713 2511 9 should should MD 39713 2511 10 see see VB 39713 2511 11 that that IN 39713 2511 12 only only RB 39713 2511 13 two two CD 39713 2511 14 things thing NNS 39713 2511 15 are be VBP 39713 2511 16 borrowed borrow VBN 39713 2511 17 from from IN 39713 2511 18 the the DT 39713 2511 19 molecular molecular JJ 39713 2511 20 hypotheses hypothesis NNS 39713 2511 21 : : : 39713 2511 22 the the DT 39713 2511 23 principle principle NN 39713 2511 24 of of IN 39713 2511 25 the the DT 39713 2511 26 conservation conservation NN 39713 2511 27 of of IN 39713 2511 28 energy energy NN 39713 2511 29 and and CC 39713 2511 30 the the DT 39713 2511 31 linear linear JJ 39713 2511 32 form form NN 39713 2511 33 of of IN 39713 2511 34 the the DT 39713 2511 35 equations equation NNS 39713 2511 36 , , , 39713 2511 37 which which WDT 39713 2511 38 is be VBZ 39713 2511 39 the the DT 39713 2511 40 general general JJ 39713 2511 41 law law NN 39713 2511 42 of of IN 39713 2511 43 small small JJ 39713 2511 44 movements movement NNS 39713 2511 45 , , , 39713 2511 46 as as IN 39713 2511 47 of of IN 39713 2511 48 all all DT 39713 2511 49 small small JJ 39713 2511 50 variations variation NNS 39713 2511 51 . . . 39713 2512 1 This this DT 39713 2512 2 explains explain VBZ 39713 2512 3 why why WRB 39713 2512 4 most most JJS 39713 2512 5 of of IN 39713 2512 6 Fresnel Fresnel NNP 39713 2512 7 's 's POS 39713 2512 8 conclusions conclusion NNS 39713 2512 9 remain remain VBP 39713 2512 10 unchanged unchanged JJ 39713 2512 11 when when WRB 39713 2512 12 we -PRON- PRP 39713 2512 13 adopt adopt VBP 39713 2512 14 the the DT 39713 2512 15 electromagnetic electromagnetic JJ 39713 2512 16 theory theory NN 39713 2512 17 of of IN 39713 2512 18 light light NN 39713 2512 19 . . . 39713 2513 1 MAXWELL MAXWELL NNP 39713 2513 2 'S be VBZ 39713 2513 3 THEORY.--Maxwell theory.--maxwell DT 39713 2513 4 , , , 39713 2513 5 we -PRON- PRP 39713 2513 6 know know VBP 39713 2513 7 , , , 39713 2513 8 connected connect VBN 39713 2513 9 by by IN 39713 2513 10 a a DT 39713 2513 11 close close JJ 39713 2513 12 bond bond NN 39713 2513 13 two two CD 39713 2513 14 parts part NNS 39713 2513 15 of of IN 39713 2513 16 physics physics NN 39713 2513 17 until until IN 39713 2513 18 then then RB 39713 2513 19 entirely entirely RB 39713 2513 20 foreign foreign JJ 39713 2513 21 to to IN 39713 2513 22 one one CD 39713 2513 23 another another DT 39713 2513 24 , , , 39713 2513 25 optics optic NNS 39713 2513 26 and and CC 39713 2513 27 electricity electricity NN 39713 2513 28 . . . 39713 2514 1 By by IN 39713 2514 2 blending blend VBG 39713 2514 3 thus thus RB 39713 2514 4 in in IN 39713 2514 5 a a DT 39713 2514 6 vaster vaster NN 39713 2514 7 whole whole NN 39713 2514 8 , , , 39713 2514 9 in in IN 39713 2514 10 a a DT 39713 2514 11 higher high JJR 39713 2514 12 harmony harmony NN 39713 2514 13 , , , 39713 2514 14 the the DT 39713 2514 15 optics optic NNS 39713 2514 16 of of IN 39713 2514 17 Fresnel Fresnel NNP 39713 2514 18 has have VBZ 39713 2514 19 not not RB 39713 2514 20 ceased cease VBN 39713 2514 21 to to TO 39713 2514 22 be be VB 39713 2514 23 alive alive JJ 39713 2514 24 . . . 39713 2515 1 Its -PRON- PRP$ 39713 2515 2 various various JJ 39713 2515 3 parts part NNS 39713 2515 4 subsist subsist NN 39713 2515 5 , , , 39713 2515 6 and and CC 39713 2515 7 their -PRON- PRP$ 39713 2515 8 mutual mutual JJ 39713 2515 9 relations relation NNS 39713 2515 10 are be VBP 39713 2515 11 still still RB 39713 2515 12 the the DT 39713 2515 13 same same JJ 39713 2515 14 . . . 39713 2516 1 Only only RB 39713 2516 2 the the DT 39713 2516 3 language language NN 39713 2516 4 we -PRON- PRP 39713 2516 5 used use VBD 39713 2516 6 to to TO 39713 2516 7 express express VB 39713 2516 8 them -PRON- PRP 39713 2516 9 has have VBZ 39713 2516 10 changed change VBN 39713 2516 11 ; ; : 39713 2516 12 and and CC 39713 2516 13 , , , 39713 2516 14 on on IN 39713 2516 15 the the DT 39713 2516 16 other other JJ 39713 2516 17 hand hand NN 39713 2516 18 , , , 39713 2516 19 Maxwell Maxwell NNP 39713 2516 20 has have VBZ 39713 2516 21 revealed reveal VBN 39713 2516 22 to to IN 39713 2516 23 us -PRON- PRP 39713 2516 24 other other JJ 39713 2516 25 relations relation NNS 39713 2516 26 , , , 39713 2516 27 before before IN 39713 2516 28 unsuspected unsuspected JJ 39713 2516 29 , , , 39713 2516 30 between between IN 39713 2516 31 the the DT 39713 2516 32 different different JJ 39713 2516 33 parts part NNS 39713 2516 34 of of IN 39713 2516 35 optics optic NNS 39713 2516 36 and and CC 39713 2516 37 the the DT 39713 2516 38 domain domain NN 39713 2516 39 of of IN 39713 2516 40 electricity electricity NN 39713 2516 41 . . . 39713 2517 1 When when WRB 39713 2517 2 a a DT 39713 2517 3 French french JJ 39713 2517 4 reader reader NN 39713 2517 5 first first RB 39713 2517 6 opens open VBZ 39713 2517 7 Maxwell Maxwell NNP 39713 2517 8 's 's POS 39713 2517 9 book book NN 39713 2517 10 , , , 39713 2517 11 a a DT 39713 2517 12 feeling feeling NN 39713 2517 13 of of IN 39713 2517 14 uneasiness uneasiness NN 39713 2517 15 and and CC 39713 2517 16 often often RB 39713 2517 17 even even RB 39713 2517 18 of of IN 39713 2517 19 mistrust mistrust NN 39713 2517 20 mingles mingle NNS 39713 2517 21 at at IN 39713 2517 22 first first RB 39713 2517 23 with with IN 39713 2517 24 his -PRON- PRP$ 39713 2517 25 admiration admiration NN 39713 2517 26 . . . 39713 2518 1 Only only RB 39713 2518 2 after after IN 39713 2518 3 a a DT 39713 2518 4 prolonged prolonged JJ 39713 2518 5 acquaintance acquaintance NN 39713 2518 6 and and CC 39713 2518 7 at at IN 39713 2518 8 the the DT 39713 2518 9 cost cost NN 39713 2518 10 of of IN 39713 2518 11 many many JJ 39713 2518 12 efforts effort NNS 39713 2518 13 does do VBZ 39713 2518 14 this this DT 39713 2518 15 feeling feeling NN 39713 2518 16 disappear disappear VB 39713 2518 17 . . . 39713 2519 1 There there EX 39713 2519 2 are be VBP 39713 2519 3 even even RB 39713 2519 4 some some DT 39713 2519 5 eminent eminent JJ 39713 2519 6 minds mind NNS 39713 2519 7 that that WDT 39713 2519 8 never never RB 39713 2519 9 lose lose VBP 39713 2519 10 it -PRON- PRP 39713 2519 11 . . . 39713 2520 1 Why why WRB 39713 2520 2 are be VBP 39713 2520 3 the the DT 39713 2520 4 English English NNP 39713 2520 5 scientist scientist NN 39713 2520 6 's 's POS 39713 2520 7 ideas idea NNS 39713 2520 8 with with IN 39713 2520 9 such such JJ 39713 2520 10 difficulty difficulty NN 39713 2520 11 acclimatized acclimatize VBN 39713 2520 12 among among IN 39713 2520 13 us -PRON- PRP 39713 2520 14 ? ? . 39713 2521 1 It -PRON- PRP 39713 2521 2 is be VBZ 39713 2521 3 , , , 39713 2521 4 no no RB 39713 2521 5 doubt doubt RB 39713 2521 6 , , , 39713 2521 7 because because IN 39713 2521 8 the the DT 39713 2521 9 education education NN 39713 2521 10 received receive VBN 39713 2521 11 by by IN 39713 2521 12 the the DT 39713 2521 13 majority majority NN 39713 2521 14 of of IN 39713 2521 15 enlightened enlighten VBN 39713 2521 16 Frenchmen Frenchmen NNP 39713 2521 17 predisposes predispose VBZ 39713 2521 18 them -PRON- PRP 39713 2521 19 to to TO 39713 2521 20 appreciate appreciate VB 39713 2521 21 precision precision NN 39713 2521 22 and and CC 39713 2521 23 logic logic NN 39713 2521 24 above above IN 39713 2521 25 every every DT 39713 2521 26 other other JJ 39713 2521 27 quality quality NN 39713 2521 28 . . . 39713 2522 1 The the DT 39713 2522 2 old old JJ 39713 2522 3 theories theory NNS 39713 2522 4 of of IN 39713 2522 5 mathematical mathematical JJ 39713 2522 6 physics physic NNS 39713 2522 7 gave give VBD 39713 2522 8 us -PRON- PRP 39713 2522 9 in in IN 39713 2522 10 this this DT 39713 2522 11 respect respect NN 39713 2522 12 complete complete JJ 39713 2522 13 satisfaction satisfaction NN 39713 2522 14 . . . 39713 2523 1 All all DT 39713 2523 2 our -PRON- PRP$ 39713 2523 3 masters master NNS 39713 2523 4 , , , 39713 2523 5 from from IN 39713 2523 6 Laplace Laplace NNP 39713 2523 7 to to IN 39713 2523 8 Cauchy Cauchy NNP 39713 2523 9 , , , 39713 2523 10 have have VBP 39713 2523 11 proceeded proceed VBN 39713 2523 12 in in IN 39713 2523 13 the the DT 39713 2523 14 same same JJ 39713 2523 15 way way NN 39713 2523 16 . . . 39713 2524 1 Starting start VBG 39713 2524 2 from from IN 39713 2524 3 clearly clearly RB 39713 2524 4 stated state VBN 39713 2524 5 hypotheses hypothesis NNS 39713 2524 6 , , , 39713 2524 7 they -PRON- PRP 39713 2524 8 deduced deduce VBD 39713 2524 9 all all PDT 39713 2524 10 their -PRON- PRP$ 39713 2524 11 consequences consequence NNS 39713 2524 12 with with IN 39713 2524 13 mathematical mathematical JJ 39713 2524 14 rigor rigor NN 39713 2524 15 , , , 39713 2524 16 and and CC 39713 2524 17 then then RB 39713 2524 18 compared compare VBD 39713 2524 19 them -PRON- PRP 39713 2524 20 with with IN 39713 2524 21 experiment experiment NN 39713 2524 22 . . . 39713 2525 1 It -PRON- PRP 39713 2525 2 seemed seem VBD 39713 2525 3 their -PRON- PRP$ 39713 2525 4 aim aim NN 39713 2525 5 to to TO 39713 2525 6 give give VB 39713 2525 7 every every DT 39713 2525 8 branch branch NN 39713 2525 9 of of IN 39713 2525 10 physics physics NN 39713 2525 11 the the DT 39713 2525 12 same same JJ 39713 2525 13 precision precision NN 39713 2525 14 as as IN 39713 2525 15 celestial celestial JJ 39713 2525 16 mechanics mechanic NNS 39713 2525 17 . . . 39713 2526 1 A a DT 39713 2526 2 mind mind NN 39713 2526 3 accustomed accustom VBN 39713 2526 4 to to TO 39713 2526 5 admire admire VB 39713 2526 6 such such JJ 39713 2526 7 models model NNS 39713 2526 8 is be VBZ 39713 2526 9 hard hard JJ 39713 2526 10 to to TO 39713 2526 11 suit suit VB 39713 2526 12 with with IN 39713 2526 13 a a DT 39713 2526 14 theory theory NN 39713 2526 15 . . . 39713 2527 1 Not not RB 39713 2527 2 only only RB 39713 2527 3 will will MD 39713 2527 4 it -PRON- PRP 39713 2527 5 not not RB 39713 2527 6 tolerate tolerate VB 39713 2527 7 the the DT 39713 2527 8 least least JJS 39713 2527 9 appearance appearance NN 39713 2527 10 of of IN 39713 2527 11 contradiction contradiction NN 39713 2527 12 , , , 39713 2527 13 but but CC 39713 2527 14 it -PRON- PRP 39713 2527 15 will will MD 39713 2527 16 demand demand VB 39713 2527 17 that that IN 39713 2527 18 the the DT 39713 2527 19 various various JJ 39713 2527 20 parts part NNS 39713 2527 21 be be VB 39713 2527 22 logically logically RB 39713 2527 23 connected connect VBN 39713 2527 24 with with IN 39713 2527 25 one one CD 39713 2527 26 another another DT 39713 2527 27 , , , 39713 2527 28 and and CC 39713 2527 29 that that IN 39713 2527 30 the the DT 39713 2527 31 number number NN 39713 2527 32 of of IN 39713 2527 33 distinct distinct JJ 39713 2527 34 hypotheses hypothesis NNS 39713 2527 35 be be VB 39713 2527 36 reduced reduce VBN 39713 2527 37 to to IN 39713 2527 38 minimum minimum NN 39713 2527 39 . . . 39713 2528 1 This this DT 39713 2528 2 is be VBZ 39713 2528 3 not not RB 39713 2528 4 all all DT 39713 2528 5 ; ; : 39713 2528 6 it -PRON- PRP 39713 2528 7 will will MD 39713 2528 8 have have VB 39713 2528 9 still still RB 39713 2528 10 other other JJ 39713 2528 11 demands demand NNS 39713 2528 12 , , , 39713 2528 13 which which WDT 39713 2528 14 seem seem VBP 39713 2528 15 to to IN 39713 2528 16 me -PRON- PRP 39713 2528 17 less less RBR 39713 2528 18 reasonable reasonable JJ 39713 2528 19 . . . 39713 2529 1 Behind behind IN 39713 2529 2 the the DT 39713 2529 3 matter matter NN 39713 2529 4 which which WDT 39713 2529 5 our -PRON- PRP$ 39713 2529 6 senses sense NNS 39713 2529 7 can can MD 39713 2529 8 reach reach VB 39713 2529 9 , , , 39713 2529 10 and and CC 39713 2529 11 which which WDT 39713 2529 12 experiment experiment NN 39713 2529 13 tells tell VBZ 39713 2529 14 us -PRON- PRP 39713 2529 15 of of IN 39713 2529 16 , , , 39713 2529 17 it -PRON- PRP 39713 2529 18 will will MD 39713 2529 19 desire desire VB 39713 2529 20 to to TO 39713 2529 21 see see VB 39713 2529 22 another another DT 39713 2529 23 , , , 39713 2529 24 and and CC 39713 2529 25 in in IN 39713 2529 26 its -PRON- PRP$ 39713 2529 27 eyes eye NNS 39713 2529 28 the the DT 39713 2529 29 only only JJ 39713 2529 30 real real JJ 39713 2529 31 , , , 39713 2529 32 matter matter NN 39713 2529 33 , , , 39713 2529 34 which which WDT 39713 2529 35 will will MD 39713 2529 36 have have VB 39713 2529 37 only only RB 39713 2529 38 purely purely RB 39713 2529 39 geometric geometric JJ 39713 2529 40 properties property NNS 39713 2529 41 , , , 39713 2529 42 and and CC 39713 2529 43 whose whose WP$ 39713 2529 44 atoms atom NNS 39713 2529 45 will will MD 39713 2529 46 be be VB 39713 2529 47 nothing nothing NN 39713 2529 48 but but IN 39713 2529 49 mathematical mathematical JJ 39713 2529 50 points point NNS 39713 2529 51 , , , 39713 2529 52 subject subject JJ 39713 2529 53 to to IN 39713 2529 54 the the DT 39713 2529 55 laws law NNS 39713 2529 56 of of IN 39713 2529 57 dynamics dynamic NNS 39713 2529 58 alone alone JJ 39713 2529 59 . . . 39713 2530 1 And and CC 39713 2530 2 yet yet RB 39713 2530 3 these these DT 39713 2530 4 atoms atom NNS 39713 2530 5 , , , 39713 2530 6 invisible invisible JJ 39713 2530 7 and and CC 39713 2530 8 without without IN 39713 2530 9 color color NN 39713 2530 10 , , , 39713 2530 11 it -PRON- PRP 39713 2530 12 will will MD 39713 2530 13 seek seek VB 39713 2530 14 by by IN 39713 2530 15 an an DT 39713 2530 16 unconscious unconscious JJ 39713 2530 17 contradiction contradiction NN 39713 2530 18 to to TO 39713 2530 19 represent represent VB 39713 2530 20 to to IN 39713 2530 21 itself -PRON- PRP 39713 2530 22 and and CC 39713 2530 23 consequently consequently RB 39713 2530 24 to to TO 39713 2530 25 identify identify VB 39713 2530 26 as as RB 39713 2530 27 closely closely RB 39713 2530 28 as as IN 39713 2530 29 possible possible JJ 39713 2530 30 with with IN 39713 2530 31 common common JJ 39713 2530 32 matter matter NN 39713 2530 33 . . . 39713 2531 1 Then then RB 39713 2531 2 only only RB 39713 2531 3 will will MD 39713 2531 4 it -PRON- PRP 39713 2531 5 be be VB 39713 2531 6 fully fully RB 39713 2531 7 satisfied satisfied JJ 39713 2531 8 and and CC 39713 2531 9 imagine imagine VB 39713 2531 10 that that IN 39713 2531 11 it -PRON- PRP 39713 2531 12 has have VBZ 39713 2531 13 penetrated penetrate VBN 39713 2531 14 the the DT 39713 2531 15 secret secret NN 39713 2531 16 of of IN 39713 2531 17 the the DT 39713 2531 18 universe universe NN 39713 2531 19 . . . 39713 2532 1 If if IN 39713 2532 2 this this DT 39713 2532 3 satisfaction satisfaction NN 39713 2532 4 is be VBZ 39713 2532 5 deceitful deceitful JJ 39713 2532 6 , , , 39713 2532 7 it -PRON- PRP 39713 2532 8 is be VBZ 39713 2532 9 none none NN 39713 2532 10 the the DT 39713 2532 11 less less RBR 39713 2532 12 difficult difficult JJ 39713 2532 13 to to TO 39713 2532 14 renounce renounce VB 39713 2532 15 . . . 39713 2533 1 Thus thus RB 39713 2533 2 , , , 39713 2533 3 on on IN 39713 2533 4 opening open VBG 39713 2533 5 Maxwell Maxwell NNP 39713 2533 6 , , , 39713 2533 7 a a DT 39713 2533 8 Frenchman Frenchman NNP 39713 2533 9 expects expect VBZ 39713 2533 10 to to TO 39713 2533 11 find find VB 39713 2533 12 a a DT 39713 2533 13 theoretical theoretical JJ 39713 2533 14 whole whole NN 39713 2533 15 as as IN 39713 2533 16 logical logical JJ 39713 2533 17 and and CC 39713 2533 18 precise precise JJ 39713 2533 19 as as IN 39713 2533 20 the the DT 39713 2533 21 physical physical JJ 39713 2533 22 optics optic NNS 39713 2533 23 based base VBN 39713 2533 24 on on IN 39713 2533 25 the the DT 39713 2533 26 hypothesis hypothesis NN 39713 2533 27 of of IN 39713 2533 28 the the DT 39713 2533 29 ether ether NN 39713 2533 30 ; ; : 39713 2533 31 he -PRON- PRP 39713 2533 32 thus thus RB 39713 2533 33 prepares prepare VBZ 39713 2533 34 for for IN 39713 2533 35 himself -PRON- PRP 39713 2533 36 a a DT 39713 2533 37 disappointment disappointment NN 39713 2533 38 which which WDT 39713 2533 39 I -PRON- PRP 39713 2533 40 should should MD 39713 2533 41 like like VB 39713 2533 42 to to TO 39713 2533 43 spare spare VB 39713 2533 44 the the DT 39713 2533 45 reader reader NN 39713 2533 46 by by IN 39713 2533 47 informing inform VBG 39713 2533 48 him -PRON- PRP 39713 2533 49 immediately immediately RB 39713 2533 50 of of IN 39713 2533 51 what what WP 39713 2533 52 he -PRON- PRP 39713 2533 53 must must MD 39713 2533 54 look look VB 39713 2533 55 for for IN 39713 2533 56 in in IN 39713 2533 57 Maxwell Maxwell NNP 39713 2533 58 , , , 39713 2533 59 and and CC 39713 2533 60 what what WP 39713 2533 61 he -PRON- PRP 39713 2533 62 can can MD 39713 2533 63 not not RB 39713 2533 64 find find VB 39713 2533 65 there there RB 39713 2533 66 . . . 39713 2534 1 Maxwell Maxwell NNP 39713 2534 2 does do VBZ 39713 2534 3 not not RB 39713 2534 4 give give VB 39713 2534 5 a a DT 39713 2534 6 mechanical mechanical JJ 39713 2534 7 explanation explanation NN 39713 2534 8 of of IN 39713 2534 9 electricity electricity NN 39713 2534 10 and and CC 39713 2534 11 magnetism magnetism NN 39713 2534 12 ; ; : 39713 2534 13 he -PRON- PRP 39713 2534 14 confines confine VBZ 39713 2534 15 himself -PRON- PRP 39713 2534 16 to to TO 39713 2534 17 demonstrating demonstrate VBG 39713 2534 18 that that IN 39713 2534 19 such such PDT 39713 2534 20 an an DT 39713 2534 21 explanation explanation NN 39713 2534 22 is be VBZ 39713 2534 23 possible possible JJ 39713 2534 24 . . . 39713 2535 1 He -PRON- PRP 39713 2535 2 shows show VBZ 39713 2535 3 also also RB 39713 2535 4 that that DT 39713 2535 5 optical optical JJ 39713 2535 6 phenomena phenomenon NNS 39713 2535 7 are be VBP 39713 2535 8 only only RB 39713 2535 9 a a DT 39713 2535 10 special special JJ 39713 2535 11 case case NN 39713 2535 12 of of IN 39713 2535 13 electromagnetic electromagnetic JJ 39713 2535 14 phenomena phenomenon NNS 39713 2535 15 . . . 39713 2536 1 From from IN 39713 2536 2 every every DT 39713 2536 3 theory theory NN 39713 2536 4 of of IN 39713 2536 5 electricity electricity NN 39713 2536 6 , , , 39713 2536 7 one one PRP 39713 2536 8 can can MD 39713 2536 9 therefore therefore RB 39713 2536 10 deduce deduce VB 39713 2536 11 immediately immediately RB 39713 2536 12 a a DT 39713 2536 13 theory theory NN 39713 2536 14 of of IN 39713 2536 15 light light NN 39713 2536 16 . . . 39713 2537 1 The the DT 39713 2537 2 converse converse NN 39713 2537 3 unfortunately unfortunately RB 39713 2537 4 is be VBZ 39713 2537 5 not not RB 39713 2537 6 true true JJ 39713 2537 7 ; ; : 39713 2537 8 from from IN 39713 2537 9 a a DT 39713 2537 10 complete complete JJ 39713 2537 11 explanation explanation NN 39713 2537 12 of of IN 39713 2537 13 light light NN 39713 2537 14 , , , 39713 2537 15 it -PRON- PRP 39713 2537 16 is be VBZ 39713 2537 17 not not RB 39713 2537 18 always always RB 39713 2537 19 easy easy JJ 39713 2537 20 to to TO 39713 2537 21 derive derive VB 39713 2537 22 a a DT 39713 2537 23 complete complete JJ 39713 2537 24 explanation explanation NN 39713 2537 25 of of IN 39713 2537 26 electric electric JJ 39713 2537 27 phenomena phenomenon NNS 39713 2537 28 . . . 39713 2538 1 This this DT 39713 2538 2 is be VBZ 39713 2538 3 not not RB 39713 2538 4 easy easy JJ 39713 2538 5 , , , 39713 2538 6 in in IN 39713 2538 7 particular particular JJ 39713 2538 8 , , , 39713 2538 9 if if IN 39713 2538 10 we -PRON- PRP 39713 2538 11 wish wish VBP 39713 2538 12 to to TO 39713 2538 13 start start VB 39713 2538 14 from from IN 39713 2538 15 Fresnel Fresnel NNP 39713 2538 16 's 's POS 39713 2538 17 theory theory NN 39713 2538 18 . . . 39713 2539 1 Doubtless doubtless JJ 39713 2539 2 it -PRON- PRP 39713 2539 3 would would MD 39713 2539 4 not not RB 39713 2539 5 be be VB 39713 2539 6 impossible impossible JJ 39713 2539 7 ; ; : 39713 2539 8 but but CC 39713 2539 9 nevertheless nevertheless RB 39713 2539 10 we -PRON- PRP 39713 2539 11 must must MD 39713 2539 12 ask ask VB 39713 2539 13 whether whether IN 39713 2539 14 we -PRON- PRP 39713 2539 15 are be VBP 39713 2539 16 not not RB 39713 2539 17 going go VBG 39713 2539 18 to to TO 39713 2539 19 be be VB 39713 2539 20 forced force VBN 39713 2539 21 to to TO 39713 2539 22 renounce renounce VB 39713 2539 23 admirable admirable JJ 39713 2539 24 results result NNS 39713 2539 25 that that WDT 39713 2539 26 we -PRON- PRP 39713 2539 27 thought think VBD 39713 2539 28 definitely definitely RB 39713 2539 29 acquired acquire VBD 39713 2539 30 . . . 39713 2540 1 That that DT 39713 2540 2 seems seem VBZ 39713 2540 3 a a DT 39713 2540 4 step step NN 39713 2540 5 backward backward RB 39713 2540 6 ; ; : 39713 2540 7 and and CC 39713 2540 8 many many JJ 39713 2540 9 good good JJ 39713 2540 10 minds mind NNS 39713 2540 11 are be VBP 39713 2540 12 not not RB 39713 2540 13 willing willing JJ 39713 2540 14 to to TO 39713 2540 15 submit submit VB 39713 2540 16 to to IN 39713 2540 17 it -PRON- PRP 39713 2540 18 . . . 39713 2541 1 When when WRB 39713 2541 2 the the DT 39713 2541 3 reader reader NN 39713 2541 4 shall shall MD 39713 2541 5 have have VB 39713 2541 6 consented consent VBN 39713 2541 7 to to TO 39713 2541 8 limit limit VB 39713 2541 9 his -PRON- PRP$ 39713 2541 10 hopes hope NNS 39713 2541 11 , , , 39713 2541 12 he -PRON- PRP 39713 2541 13 will will MD 39713 2541 14 still still RB 39713 2541 15 encounter encounter VB 39713 2541 16 other other JJ 39713 2541 17 difficulties difficulty NNS 39713 2541 18 . . . 39713 2542 1 The the DT 39713 2542 2 English english JJ 39713 2542 3 scientist scientist NN 39713 2542 4 does do VBZ 39713 2542 5 not not RB 39713 2542 6 try try VB 39713 2542 7 to to TO 39713 2542 8 construct construct VB 39713 2542 9 a a DT 39713 2542 10 single single JJ 39713 2542 11 edifice edifice NN 39713 2542 12 , , , 39713 2542 13 final final JJ 39713 2542 14 and and CC 39713 2542 15 well well RB 39713 2542 16 ordered ordered JJ 39713 2542 17 ; ; : 39713 2542 18 he -PRON- PRP 39713 2542 19 seems seem VBZ 39713 2542 20 rather rather RB 39713 2542 21 to to TO 39713 2542 22 erect erect VB 39713 2542 23 a a DT 39713 2542 24 great great JJ 39713 2542 25 number number NN 39713 2542 26 of of IN 39713 2542 27 provisional provisional JJ 39713 2542 28 and and CC 39713 2542 29 independent independent JJ 39713 2542 30 constructions construction NNS 39713 2542 31 , , , 39713 2542 32 between between IN 39713 2542 33 which which WDT 39713 2542 34 communication communication NN 39713 2542 35 is be VBZ 39713 2542 36 difficult difficult JJ 39713 2542 37 and and CC 39713 2542 38 sometimes sometimes RB 39713 2542 39 impossible impossible JJ 39713 2542 40 . . . 39713 2543 1 Take take VB 39713 2543 2 as as IN 39713 2543 3 example example NN 39713 2543 4 the the DT 39713 2543 5 chapter chapter NN 39713 2543 6 in in IN 39713 2543 7 which which WDT 39713 2543 8 he -PRON- PRP 39713 2543 9 explains explain VBZ 39713 2543 10 electrostatic electrostatic JJ 39713 2543 11 attractions attraction NNS 39713 2543 12 by by IN 39713 2543 13 pressures pressure NNS 39713 2543 14 and and CC 39713 2543 15 tensions tension NNS 39713 2543 16 in in IN 39713 2543 17 the the DT 39713 2543 18 dielectric dielectric JJ 39713 2543 19 medium medium NN 39713 2543 20 . . . 39713 2544 1 This this DT 39713 2544 2 chapter chapter NN 39713 2544 3 might may MD 39713 2544 4 be be VB 39713 2544 5 omitted omit VBN 39713 2544 6 without without IN 39713 2544 7 making make VBG 39713 2544 8 thereby thereby RB 39713 2544 9 the the DT 39713 2544 10 rest rest NN 39713 2544 11 of of IN 39713 2544 12 the the DT 39713 2544 13 book book NN 39713 2544 14 less less RBR 39713 2544 15 clear clear JJ 39713 2544 16 or or CC 39713 2544 17 complete complete JJ 39713 2544 18 ; ; : 39713 2544 19 and and CC 39713 2544 20 , , , 39713 2544 21 on on IN 39713 2544 22 the the DT 39713 2544 23 other other JJ 39713 2544 24 hand hand NN 39713 2544 25 , , , 39713 2544 26 it -PRON- PRP 39713 2544 27 contains contain VBZ 39713 2544 28 a a DT 39713 2544 29 theory theory NN 39713 2544 30 complete complete JJ 39713 2544 31 in in IN 39713 2544 32 itself -PRON- PRP 39713 2544 33 which which WDT 39713 2544 34 one one PRP 39713 2544 35 could could MD 39713 2544 36 understand understand VB 39713 2544 37 without without IN 39713 2544 38 having have VBG 39713 2544 39 read read VBN 39713 2544 40 a a DT 39713 2544 41 single single JJ 39713 2544 42 line line NN 39713 2544 43 that that WDT 39713 2544 44 precedes precede VBZ 39713 2544 45 or or CC 39713 2544 46 follows follow VBZ 39713 2544 47 . . . 39713 2545 1 But but CC 39713 2545 2 it -PRON- PRP 39713 2545 3 is be VBZ 39713 2545 4 not not RB 39713 2545 5 only only RB 39713 2545 6 independent independent JJ 39713 2545 7 of of IN 39713 2545 8 the the DT 39713 2545 9 rest rest NN 39713 2545 10 of of IN 39713 2545 11 the the DT 39713 2545 12 work work NN 39713 2545 13 ; ; : 39713 2545 14 it -PRON- PRP 39713 2545 15 is be VBZ 39713 2545 16 difficult difficult JJ 39713 2545 17 to to TO 39713 2545 18 reconcile reconcile VB 39713 2545 19 with with IN 39713 2545 20 the the DT 39713 2545 21 fundamental fundamental JJ 39713 2545 22 ideas idea NNS 39713 2545 23 of of IN 39713 2545 24 the the DT 39713 2545 25 book book NN 39713 2545 26 . . . 39713 2546 1 Maxwell Maxwell NNP 39713 2546 2 does do VBZ 39713 2546 3 not not RB 39713 2546 4 even even RB 39713 2546 5 attempt attempt VB 39713 2546 6 this this DT 39713 2546 7 reconciliation reconciliation NN 39713 2546 8 ; ; : 39713 2546 9 he -PRON- PRP 39713 2546 10 merely merely RB 39713 2546 11 says say VBZ 39713 2546 12 : : : 39713 2546 13 " " `` 39713 2546 14 I -PRON- PRP 39713 2546 15 have have VBP 39713 2546 16 not not RB 39713 2546 17 been be VBN 39713 2546 18 able able JJ 39713 2546 19 to to TO 39713 2546 20 make make VB 39713 2546 21 the the DT 39713 2546 22 next next JJ 39713 2546 23 step step NN 39713 2546 24 , , , 39713 2546 25 namely namely RB 39713 2546 26 , , , 39713 2546 27 to to TO 39713 2546 28 account account VB 39713 2546 29 by by IN 39713 2546 30 mechanical mechanical JJ 39713 2546 31 considerations consideration NNS 39713 2546 32 for for IN 39713 2546 33 these these DT 39713 2546 34 stresses stress NNS 39713 2546 35 in in IN 39713 2546 36 the the DT 39713 2546 37 dielectric dielectric NN 39713 2546 38 . . . 39713 2546 39 " " '' 39713 2547 1 This this DT 39713 2547 2 example example NN 39713 2547 3 will will MD 39713 2547 4 suffice suffice VB 39713 2547 5 to to TO 39713 2547 6 make make VB 39713 2547 7 my -PRON- PRP$ 39713 2547 8 thought thought NN 39713 2547 9 understood understand VBD 39713 2547 10 ; ; : 39713 2547 11 I -PRON- PRP 39713 2547 12 could could MD 39713 2547 13 cite cite VB 39713 2547 14 many many JJ 39713 2547 15 others other NNS 39713 2547 16 . . . 39713 2548 1 Thus thus RB 39713 2548 2 who who WP 39713 2548 3 would would MD 39713 2548 4 suspect suspect VB 39713 2548 5 , , , 39713 2548 6 in in IN 39713 2548 7 reading read VBG 39713 2548 8 the the DT 39713 2548 9 pages page NNS 39713 2548 10 devoted devote VBN 39713 2548 11 to to IN 39713 2548 12 magnetic magnetic JJ 39713 2548 13 rotary rotary JJ 39713 2548 14 polarization polarization NN 39713 2548 15 , , , 39713 2548 16 that that IN 39713 2548 17 there there EX 39713 2548 18 is be VBZ 39713 2548 19 an an DT 39713 2548 20 identity identity NN 39713 2548 21 between between IN 39713 2548 22 optical optical JJ 39713 2548 23 and and CC 39713 2548 24 magnetic magnetic JJ 39713 2548 25 phenomena phenomenon NNS 39713 2548 26 ? ? . 39713 2549 1 One one PRP 39713 2549 2 must must MD 39713 2549 3 not not RB 39713 2549 4 then then RB 39713 2549 5 flatter flatter VB 39713 2549 6 himself -PRON- PRP 39713 2549 7 that that IN 39713 2549 8 he -PRON- PRP 39713 2549 9 can can MD 39713 2549 10 avoid avoid VB 39713 2549 11 all all DT 39713 2549 12 contradiction contradiction NN 39713 2549 13 ; ; : 39713 2549 14 to to IN 39713 2549 15 that that IN 39713 2549 16 it -PRON- PRP 39713 2549 17 is be VBZ 39713 2549 18 necessary necessary JJ 39713 2549 19 to to TO 39713 2549 20 be be VB 39713 2549 21 resigned resign VBN 39713 2549 22 . . . 39713 2550 1 In in IN 39713 2550 2 fact fact NN 39713 2550 3 , , , 39713 2550 4 two two CD 39713 2550 5 contradictory contradictory JJ 39713 2550 6 theories theory NNS 39713 2550 7 , , , 39713 2550 8 provided provide VBD 39713 2550 9 one one NN 39713 2550 10 does do VBZ 39713 2550 11 not not RB 39713 2550 12 mingle mingle VB 39713 2550 13 them -PRON- PRP 39713 2550 14 , , , 39713 2550 15 and and CC 39713 2550 16 if if IN 39713 2550 17 one one PRP 39713 2550 18 does do VBZ 39713 2550 19 not not RB 39713 2550 20 seek seek VB 39713 2550 21 in in IN 39713 2550 22 them -PRON- PRP 39713 2550 23 the the DT 39713 2550 24 basis basis NN 39713 2550 25 of of IN 39713 2550 26 things thing NNS 39713 2550 27 , , , 39713 2550 28 may may MD 39713 2550 29 both both DT 39713 2550 30 be be VB 39713 2550 31 useful useful JJ 39713 2550 32 instruments instrument NNS 39713 2550 33 of of IN 39713 2550 34 research research NN 39713 2550 35 ; ; : 39713 2550 36 and and CC 39713 2550 37 perhaps perhaps RB 39713 2550 38 the the DT 39713 2550 39 reading reading NN 39713 2550 40 of of IN 39713 2550 41 Maxwell Maxwell NNP 39713 2550 42 would would MD 39713 2550 43 be be VB 39713 2550 44 less less RBR 39713 2550 45 suggestive suggestive JJ 39713 2550 46 if if IN 39713 2550 47 he -PRON- PRP 39713 2550 48 had have VBD 39713 2550 49 not not RB 39713 2550 50 opened open VBN 39713 2550 51 up up RP 39713 2550 52 to to IN 39713 2550 53 us -PRON- PRP 39713 2550 54 so so RB 39713 2550 55 many many JJ 39713 2550 56 new new JJ 39713 2550 57 and and CC 39713 2550 58 divergent divergent JJ 39713 2550 59 paths path NNS 39713 2550 60 . . . 39713 2551 1 The the DT 39713 2551 2 fundamental fundamental JJ 39713 2551 3 idea idea NN 39713 2551 4 , , , 39713 2551 5 however however RB 39713 2551 6 , , , 39713 2551 7 is be VBZ 39713 2551 8 thus thus RB 39713 2551 9 a a DT 39713 2551 10 little little JJ 39713 2551 11 obscured obscure VBN 39713 2551 12 . . . 39713 2552 1 So so RB 39713 2552 2 far far RB 39713 2552 3 is be VBZ 39713 2552 4 this this DT 39713 2552 5 the the DT 39713 2552 6 case case NN 39713 2552 7 that that IN 39713 2552 8 in in IN 39713 2552 9 the the DT 39713 2552 10 majority majority NN 39713 2552 11 of of IN 39713 2552 12 popularized popularize VBN 39713 2552 13 versions version NNS 39713 2552 14 it -PRON- PRP 39713 2552 15 is be VBZ 39713 2552 16 the the DT 39713 2552 17 only only JJ 39713 2552 18 point point NN 39713 2552 19 completely completely RB 39713 2552 20 left leave VBN 39713 2552 21 aside aside RB 39713 2552 22 . . . 39713 2553 1 I -PRON- PRP 39713 2553 2 feel feel VBP 39713 2553 3 , , , 39713 2553 4 then then RB 39713 2553 5 , , , 39713 2553 6 that that IN 39713 2553 7 the the DT 39713 2553 8 better well JJR 39713 2553 9 to to TO 39713 2553 10 make make VB 39713 2553 11 its -PRON- PRP$ 39713 2553 12 importance importance NN 39713 2553 13 stand stand VB 39713 2553 14 out out RP 39713 2553 15 , , , 39713 2553 16 I -PRON- PRP 39713 2553 17 ought ought MD 39713 2553 18 to to TO 39713 2553 19 explain explain VB 39713 2553 20 in in IN 39713 2553 21 what what WP 39713 2553 22 this this DT 39713 2553 23 fundamental fundamental JJ 39713 2553 24 idea idea NN 39713 2553 25 consists consist VBZ 39713 2553 26 . . . 39713 2554 1 But but CC 39713 2554 2 for for IN 39713 2554 3 that that DT 39713 2554 4 a a DT 39713 2554 5 short short JJ 39713 2554 6 digression digression NN 39713 2554 7 is be VBZ 39713 2554 8 necessary necessary JJ 39713 2554 9 . . . 39713 2555 1 THE the DT 39713 2555 2 MECHANICAL MECHANICAL NNP 39713 2555 3 EXPLANATION EXPLANATION NNP 39713 2555 4 OF of IN 39713 2555 5 PHYSICAL PHYSICAL NNP 39713 2555 6 PHENOMENA.--There phenomena.--there RB 39713 2555 7 is be VBZ 39713 2555 8 in in IN 39713 2555 9 every every DT 39713 2555 10 physical physical JJ 39713 2555 11 phenomenon phenomenon NN 39713 2555 12 a a DT 39713 2555 13 certain certain JJ 39713 2555 14 number number NN 39713 2555 15 of of IN 39713 2555 16 parameters parameter NNS 39713 2555 17 which which WDT 39713 2555 18 experiment experiment NN 39713 2555 19 reaches reach VBZ 39713 2555 20 directly directly RB 39713 2555 21 and and CC 39713 2555 22 allows allow VBZ 39713 2555 23 us -PRON- PRP 39713 2555 24 to to TO 39713 2555 25 measure measure VB 39713 2555 26 . . . 39713 2556 1 I -PRON- PRP 39713 2556 2 shall shall MD 39713 2556 3 call call VB 39713 2556 4 these these PDT 39713 2556 5 the the DT 39713 2556 6 parameters parameter NNS 39713 2556 7 _ _ NNP 39713 2556 8 q q NNP 39713 2556 9 _ _ NNP 39713 2556 10 . . . 39713 2557 1 Observation observation NN 39713 2557 2 then then RB 39713 2557 3 teaches teach VBZ 39713 2557 4 us -PRON- PRP 39713 2557 5 the the DT 39713 2557 6 laws law NNS 39713 2557 7 of of IN 39713 2557 8 the the DT 39713 2557 9 variations variation NNS 39713 2557 10 of of IN 39713 2557 11 these these DT 39713 2557 12 parameters parameter NNS 39713 2557 13 ; ; : 39713 2557 14 and and CC 39713 2557 15 these these DT 39713 2557 16 laws law NNS 39713 2557 17 can can MD 39713 2557 18 generally generally RB 39713 2557 19 be be VB 39713 2557 20 put put VBN 39713 2557 21 in in IN 39713 2557 22 the the DT 39713 2557 23 form form NN 39713 2557 24 of of IN 39713 2557 25 differential differential JJ 39713 2557 26 equations equation NNS 39713 2557 27 , , , 39713 2557 28 which which WDT 39713 2557 29 connect connect VBP 39713 2557 30 the the DT 39713 2557 31 parameters parameter NNS 39713 2557 32 _ _ NNP 39713 2557 33 q q NNP 39713 2557 34 _ _ NNP 39713 2557 35 with with IN 39713 2557 36 the the DT 39713 2557 37 time time NN 39713 2557 38 . . . 39713 2558 1 What what WP 39713 2558 2 is be VBZ 39713 2558 3 it -PRON- PRP 39713 2558 4 necessary necessary JJ 39713 2558 5 to to TO 39713 2558 6 do do VB 39713 2558 7 to to TO 39713 2558 8 give give VB 39713 2558 9 a a DT 39713 2558 10 mechanical mechanical JJ 39713 2558 11 interpretation interpretation NN 39713 2558 12 of of IN 39713 2558 13 such such PDT 39713 2558 14 a a DT 39713 2558 15 phenomenon phenomenon NN 39713 2558 16 ? ? . 39713 2559 1 One one CD 39713 2559 2 will will MD 39713 2559 3 try try VB 39713 2559 4 to to TO 39713 2559 5 explain explain VB 39713 2559 6 it -PRON- PRP 39713 2559 7 either either CC 39713 2559 8 by by IN 39713 2559 9 the the DT 39713 2559 10 motions motion NNS 39713 2559 11 of of IN 39713 2559 12 ordinary ordinary JJ 39713 2559 13 matter matter NN 39713 2559 14 , , , 39713 2559 15 or or CC 39713 2559 16 by by IN 39713 2559 17 those those DT 39713 2559 18 of of IN 39713 2559 19 one one CD 39713 2559 20 or or CC 39713 2559 21 more more JJR 39713 2559 22 hypothetical hypothetical JJ 39713 2559 23 fluids fluid NNS 39713 2559 24 . . . 39713 2560 1 These these DT 39713 2560 2 fluids fluid NNS 39713 2560 3 will will MD 39713 2560 4 be be VB 39713 2560 5 considered consider VBN 39713 2560 6 as as IN 39713 2560 7 formed form VBN 39713 2560 8 of of IN 39713 2560 9 a a DT 39713 2560 10 very very RB 39713 2560 11 great great JJ 39713 2560 12 number number NN 39713 2560 13 of of IN 39713 2560 14 isolated isolated JJ 39713 2560 15 molecules molecule NNS 39713 2560 16 _ _ NNP 39713 2560 17 m m NNP 39713 2560 18 _ _ NNP 39713 2560 19 . . . 39713 2561 1 When when WRB 39713 2561 2 shall shall MD 39713 2561 3 we -PRON- PRP 39713 2561 4 say say VB 39713 2561 5 , , , 39713 2561 6 then then RB 39713 2561 7 , , , 39713 2561 8 that that IN 39713 2561 9 we -PRON- PRP 39713 2561 10 have have VBP 39713 2561 11 a a DT 39713 2561 12 complete complete JJ 39713 2561 13 mechanical mechanical JJ 39713 2561 14 explanation explanation NN 39713 2561 15 of of IN 39713 2561 16 the the DT 39713 2561 17 phenomenon phenomenon NN 39713 2561 18 ? ? . 39713 2562 1 It -PRON- PRP 39713 2562 2 will will MD 39713 2562 3 be be VB 39713 2562 4 , , , 39713 2562 5 on on IN 39713 2562 6 the the DT 39713 2562 7 one one CD 39713 2562 8 hand hand NN 39713 2562 9 , , , 39713 2562 10 when when WRB 39713 2562 11 we -PRON- PRP 39713 2562 12 know know VBP 39713 2562 13 the the DT 39713 2562 14 differential differential NN 39713 2562 15 equations equation NNS 39713 2562 16 satisfied satisfy VBN 39713 2562 17 by by IN 39713 2562 18 the the DT 39713 2562 19 coordinates coordinate NNS 39713 2562 20 of of IN 39713 2562 21 these these DT 39713 2562 22 hypothetical hypothetical JJ 39713 2562 23 molecules molecule NNS 39713 2562 24 _ _ NNP 39713 2562 25 m m NNP 39713 2562 26 _ _ NNP 39713 2562 27 , , , 39713 2562 28 equations equation NNS 39713 2562 29 which which WDT 39713 2562 30 , , , 39713 2562 31 moreover moreover RB 39713 2562 32 , , , 39713 2562 33 must must MD 39713 2562 34 conform conform VB 39713 2562 35 to to IN 39713 2562 36 the the DT 39713 2562 37 principles principle NNS 39713 2562 38 of of IN 39713 2562 39 dynamics dynamic NNS 39713 2562 40 ; ; : 39713 2562 41 and and CC 39713 2562 42 , , , 39713 2562 43 on on IN 39713 2562 44 the the DT 39713 2562 45 other other JJ 39713 2562 46 hand hand NN 39713 2562 47 , , , 39713 2562 48 when when WRB 39713 2562 49 we -PRON- PRP 39713 2562 50 know know VBP 39713 2562 51 the the DT 39713 2562 52 relations relation NNS 39713 2562 53 that that WDT 39713 2562 54 define define VBP 39713 2562 55 the the DT 39713 2562 56 coordinates coordinate NNS 39713 2562 57 of of IN 39713 2562 58 the the DT 39713 2562 59 molecules molecules NNPS 39713 2562 60 _ _ NNP 39713 2562 61 m m NNP 39713 2562 62 _ _ NNP 39713 2562 63 as as IN 39713 2562 64 functions function NNS 39713 2562 65 of of IN 39713 2562 66 the the DT 39713 2562 67 parameters parameter NNS 39713 2562 68 _ _ NNP 39713 2562 69 q q NNP 39713 2562 70 _ _ NNP 39713 2562 71 accessible accessible JJ 39713 2562 72 to to IN 39713 2562 73 experiment experiment NN 39713 2562 74 . . . 39713 2563 1 These these DT 39713 2563 2 equations equation NNS 39713 2563 3 , , , 39713 2563 4 as as IN 39713 2563 5 I -PRON- PRP 39713 2563 6 have have VBP 39713 2563 7 said say VBD 39713 2563 8 , , , 39713 2563 9 must must MD 39713 2563 10 conform conform VB 39713 2563 11 to to IN 39713 2563 12 the the DT 39713 2563 13 principles principle NNS 39713 2563 14 of of IN 39713 2563 15 dynamics dynamic NNS 39713 2563 16 , , , 39713 2563 17 and and CC 39713 2563 18 , , , 39713 2563 19 in in IN 39713 2563 20 particular particular JJ 39713 2563 21 , , , 39713 2563 22 to to IN 39713 2563 23 the the DT 39713 2563 24 principle principle NN 39713 2563 25 of of IN 39713 2563 26 the the DT 39713 2563 27 conservation conservation NN 39713 2563 28 of of IN 39713 2563 29 energy energy NN 39713 2563 30 and and CC 39713 2563 31 the the DT 39713 2563 32 principle principle NN 39713 2563 33 of of IN 39713 2563 34 least least JJS 39713 2563 35 action action NN 39713 2563 36 . . . 39713 2564 1 The the DT 39713 2564 2 first first JJ 39713 2564 3 of of IN 39713 2564 4 these these DT 39713 2564 5 two two CD 39713 2564 6 principles principle NNS 39713 2564 7 teaches teach VBZ 39713 2564 8 us -PRON- PRP 39713 2564 9 that that IN 39713 2564 10 the the DT 39713 2564 11 total total JJ 39713 2564 12 energy energy NN 39713 2564 13 is be VBZ 39713 2564 14 constant constant JJ 39713 2564 15 and and CC 39713 2564 16 that that IN 39713 2564 17 this this DT 39713 2564 18 energy energy NN 39713 2564 19 is be VBZ 39713 2564 20 divided divide VBN 39713 2564 21 into into IN 39713 2564 22 two two CD 39713 2564 23 parts part NNS 39713 2564 24 : : : 39713 2564 25 1º 1º CD 39713 2564 26 The the DT 39713 2564 27 kinetic kinetic JJ 39713 2564 28 energy energy NN 39713 2564 29 , , , 39713 2564 30 or or CC 39713 2564 31 _ _ NNP 39713 2564 32 vis vis FW 39713 2564 33 viva viva FW 39713 2564 34 _ _ NNP 39713 2564 35 , , , 39713 2564 36 which which WDT 39713 2564 37 depends depend VBZ 39713 2564 38 on on IN 39713 2564 39 the the DT 39713 2564 40 masses masse NNS 39713 2564 41 of of IN 39713 2564 42 the the DT 39713 2564 43 hypothetical hypothetical JJ 39713 2564 44 molecules molecule NNS 39713 2564 45 _ _ NNP 39713 2564 46 m m NNP 39713 2564 47 _ _ NNP 39713 2564 48 , , , 39713 2564 49 and and CC 39713 2564 50 their -PRON- PRP$ 39713 2564 51 velocities velocity NNS 39713 2564 52 , , , 39713 2564 53 and and CC 39713 2564 54 which which WDT 39713 2564 55 I -PRON- PRP 39713 2564 56 shall shall MD 39713 2564 57 call call VB 39713 2564 58 _ _ NNP 39713 2564 59 T T NNP 39713 2564 60 _ _ NNP 39713 2564 61 . . . 39713 2565 1 2º 2º CD 39713 2565 2 The the DT 39713 2565 3 potential potential JJ 39713 2565 4 energy energy NN 39713 2565 5 , , , 39713 2565 6 which which WDT 39713 2565 7 depends depend VBZ 39713 2565 8 only only RB 39713 2565 9 on on IN 39713 2565 10 the the DT 39713 2565 11 coordinates coordinate NNS 39713 2565 12 of of IN 39713 2565 13 these these DT 39713 2565 14 molecules molecule NNS 39713 2565 15 and and CC 39713 2565 16 which which WDT 39713 2565 17 I -PRON- PRP 39713 2565 18 shall shall MD 39713 2565 19 call call VB 39713 2565 20 _ _ NNP 39713 2565 21 U U NNP 39713 2565 22 _ _ NNP 39713 2565 23 . . . 39713 2566 1 It -PRON- PRP 39713 2566 2 is be VBZ 39713 2566 3 the the DT 39713 2566 4 _ _ NNP 39713 2566 5 sum sum NN 39713 2566 6 _ _ NNP 39713 2566 7 of of IN 39713 2566 8 the the DT 39713 2566 9 two two CD 39713 2566 10 energies energy NNS 39713 2566 11 _ _ NNP 39713 2566 12 T T NNP 39713 2566 13 _ _ NNP 39713 2566 14 and and CC 39713 2566 15 _ _ NNP 39713 2566 16 U U NNP 39713 2566 17 _ _ NNP 39713 2566 18 which which WDT 39713 2566 19 is be VBZ 39713 2566 20 constant constant JJ 39713 2566 21 . . . 39713 2567 1 What what WP 39713 2567 2 now now RB 39713 2567 3 does do VBZ 39713 2567 4 the the DT 39713 2567 5 principle principle NN 39713 2567 6 of of IN 39713 2567 7 least least JJS 39713 2567 8 action action NN 39713 2567 9 tell tell VB 39713 2567 10 us -PRON- PRP 39713 2567 11 ? ? . 39713 2568 1 It -PRON- PRP 39713 2568 2 tells tell VBZ 39713 2568 3 us -PRON- PRP 39713 2568 4 that that DT 39713 2568 5 to to TO 39713 2568 6 pass pass VB 39713 2568 7 from from IN 39713 2568 8 the the DT 39713 2568 9 initial initial JJ 39713 2568 10 position position NN 39713 2568 11 occupied occupy VBN 39713 2568 12 at at IN 39713 2568 13 the the DT 39713 2568 14 instant instant JJ 39713 2568 15 t_{0 t_{0 NN 39713 2568 16 } } -RRB- 39713 2568 17 to to IN 39713 2568 18 the the DT 39713 2568 19 final final JJ 39713 2568 20 position position NN 39713 2568 21 occupied occupy VBN 39713 2568 22 at at IN 39713 2568 23 the the DT 39713 2568 24 instant instant NN 39713 2568 25 t_{1 t_{1 NN 39713 2568 26 } } -RRB- 39713 2568 27 , , , 39713 2568 28 the the DT 39713 2568 29 system system NN 39713 2568 30 must must MD 39713 2568 31 take take VB 39713 2568 32 such such PDT 39713 2568 33 a a DT 39713 2568 34 path path NN 39713 2568 35 that that IN 39713 2568 36 , , , 39713 2568 37 in in IN 39713 2568 38 the the DT 39713 2568 39 interval interval NN 39713 2568 40 of of IN 39713 2568 41 time time NN 39713 2568 42 that that WDT 39713 2568 43 elapses elapse VBZ 39713 2568 44 between between IN 39713 2568 45 the the DT 39713 2568 46 two two CD 39713 2568 47 instants instant NNS 39713 2568 48 t_{0 t_{0 POS 39713 2568 49 } } -RRB- 39713 2568 50 and and CC 39713 2568 51 t_{1 t_{1 NN 39713 2568 52 } } -RRB- 39713 2568 53 , , , 39713 2568 54 the the DT 39713 2568 55 average average JJ 39713 2568 56 value value NN 39713 2568 57 of of IN 39713 2568 58 ' ' '' 39713 2568 59 the the DT 39713 2568 60 action action NN 39713 2568 61 ' ' '' 39713 2568 62 ( ( -LRB- 39713 2568 63 that that DT 39713 2568 64 is be VBZ 39713 2568 65 to to TO 39713 2568 66 say say VB 39713 2568 67 , , , 39713 2568 68 of of IN 39713 2568 69 the the DT 39713 2568 70 _ _ NNP 39713 2568 71 difference difference NN 39713 2568 72 _ _ NNP 39713 2568 73 between between IN 39713 2568 74 the the DT 39713 2568 75 two two CD 39713 2568 76 energies energy NNS 39713 2568 77 _ _ NNP 39713 2568 78 T T NNP 39713 2568 79 _ _ NNP 39713 2568 80 and and CC 39713 2568 81 _ _ NNP 39713 2568 82 U U NNP 39713 2568 83 _ _ NNP 39713 2568 84 ) ) -RRB- 39713 2568 85 shall shall MD 39713 2568 86 be be VB 39713 2568 87 as as RB 39713 2568 88 small small JJ 39713 2568 89 as as IN 39713 2568 90 possible possible JJ 39713 2568 91 . . . 39713 2569 1 If if IN 39713 2569 2 the the DT 39713 2569 3 two two CD 39713 2569 4 functions function NNS 39713 2569 5 _ _ NNP 39713 2569 6 T T NNP 39713 2569 7 _ _ NNP 39713 2569 8 and and CC 39713 2569 9 _ _ NNP 39713 2569 10 U U NNP 39713 2569 11 _ _ NNP 39713 2569 12 are be VBP 39713 2569 13 known know VBN 39713 2569 14 , , , 39713 2569 15 this this DT 39713 2569 16 principle principle NN 39713 2569 17 suffices suffice VBZ 39713 2569 18 to to TO 39713 2569 19 determine determine VB 39713 2569 20 the the DT 39713 2569 21 equations equation NNS 39713 2569 22 of of IN 39713 2569 23 motion motion NN 39713 2569 24 . . . 39713 2570 1 Among among IN 39713 2570 2 all all PDT 39713 2570 3 the the DT 39713 2570 4 possible possible JJ 39713 2570 5 ways way NNS 39713 2570 6 of of IN 39713 2570 7 passing pass VBG 39713 2570 8 from from IN 39713 2570 9 one one CD 39713 2570 10 position position NN 39713 2570 11 to to IN 39713 2570 12 another another DT 39713 2570 13 , , , 39713 2570 14 there there EX 39713 2570 15 is be VBZ 39713 2570 16 evidently evidently RB 39713 2570 17 one one CD 39713 2570 18 for for IN 39713 2570 19 which which WDT 39713 2570 20 the the DT 39713 2570 21 average average JJ 39713 2570 22 value value NN 39713 2570 23 of of IN 39713 2570 24 the the DT 39713 2570 25 action action NN 39713 2570 26 is be VBZ 39713 2570 27 less less JJR 39713 2570 28 than than IN 39713 2570 29 for for IN 39713 2570 30 any any DT 39713 2570 31 other other JJ 39713 2570 32 . . . 39713 2571 1 There there EX 39713 2571 2 is be VBZ 39713 2571 3 , , , 39713 2571 4 moreover moreover RB 39713 2571 5 , , , 39713 2571 6 only only RB 39713 2571 7 one one CD 39713 2571 8 ; ; : 39713 2571 9 and and CC 39713 2571 10 it -PRON- PRP 39713 2571 11 results result VBZ 39713 2571 12 from from IN 39713 2571 13 this this DT 39713 2571 14 that that IN 39713 2571 15 the the DT 39713 2571 16 principle principle NN 39713 2571 17 of of IN 39713 2571 18 least least JJS 39713 2571 19 action action NN 39713 2571 20 suffices suffice VBZ 39713 2571 21 to to TO 39713 2571 22 determine determine VB 39713 2571 23 the the DT 39713 2571 24 path path NN 39713 2571 25 followed follow VBD 39713 2571 26 and and CC 39713 2571 27 consequently consequently RB 39713 2571 28 the the DT 39713 2571 29 equations equation NNS 39713 2571 30 of of IN 39713 2571 31 motion motion NN 39713 2571 32 . . . 39713 2572 1 Thus thus RB 39713 2572 2 we -PRON- PRP 39713 2572 3 obtain obtain VBP 39713 2572 4 what what WP 39713 2572 5 are be VBP 39713 2572 6 called call VBN 39713 2572 7 the the DT 39713 2572 8 equations equation NNS 39713 2572 9 of of IN 39713 2572 10 Lagrange Lagrange NNP 39713 2572 11 . . . 39713 2573 1 In in IN 39713 2573 2 these these DT 39713 2573 3 equations equation NNS 39713 2573 4 , , , 39713 2573 5 the the DT 39713 2573 6 independent independent JJ 39713 2573 7 variables variable NNS 39713 2573 8 are be VBP 39713 2573 9 the the DT 39713 2573 10 coordinates coordinate NNS 39713 2573 11 of of IN 39713 2573 12 the the DT 39713 2573 13 hypothetical hypothetical JJ 39713 2573 14 molecules molecule NNS 39713 2573 15 _ _ NNP 39713 2573 16 m m NNP 39713 2573 17 _ _ NNP 39713 2573 18 ; ; : 39713 2573 19 but but CC 39713 2573 20 I -PRON- PRP 39713 2573 21 now now RB 39713 2573 22 suppose suppose VBP 39713 2573 23 that that IN 39713 2573 24 one one NN 39713 2573 25 takes take VBZ 39713 2573 26 as as IN 39713 2573 27 variables variable NNS 39713 2573 28 the the DT 39713 2573 29 parameters parameter NNS 39713 2573 30 _ _ NNP 39713 2573 31 q q NNP 39713 2573 32 _ _ NNP 39713 2573 33 directly directly RB 39713 2573 34 accessible accessible JJ 39713 2573 35 to to IN 39713 2573 36 experiment experiment VB 39713 2573 37 . . . 39713 2574 1 The the DT 39713 2574 2 two two CD 39713 2574 3 parts part NNS 39713 2574 4 of of IN 39713 2574 5 the the DT 39713 2574 6 energy energy NN 39713 2574 7 must must MD 39713 2574 8 then then RB 39713 2574 9 be be VB 39713 2574 10 expressed express VBN 39713 2574 11 as as IN 39713 2574 12 functions function NNS 39713 2574 13 of of IN 39713 2574 14 the the DT 39713 2574 15 parameters parameter NNS 39713 2574 16 _ _ NNP 39713 2574 17 q q NNP 39713 2574 18 _ _ NNP 39713 2574 19 and and CC 39713 2574 20 of of IN 39713 2574 21 their -PRON- PRP$ 39713 2574 22 derivatives derivative NNS 39713 2574 23 . . . 39713 2575 1 They -PRON- PRP 39713 2575 2 will will MD 39713 2575 3 evidently evidently RB 39713 2575 4 appear appear VB 39713 2575 5 under under IN 39713 2575 6 this this DT 39713 2575 7 form form NN 39713 2575 8 to to IN 39713 2575 9 the the DT 39713 2575 10 experimenter experimenter NN 39713 2575 11 . . . 39713 2576 1 The the DT 39713 2576 2 latter latter JJ 39713 2576 3 will will MD 39713 2576 4 naturally naturally RB 39713 2576 5 try try VB 39713 2576 6 to to TO 39713 2576 7 define define VB 39713 2576 8 the the DT 39713 2576 9 potential potential NN 39713 2576 10 and and CC 39713 2576 11 the the DT 39713 2576 12 kinetic kinetic JJ 39713 2576 13 energy energy NN 39713 2576 14 by by IN 39713 2576 15 the the DT 39713 2576 16 aid aid NN 39713 2576 17 of of IN 39713 2576 18 quantities quantity NNS 39713 2576 19 that that IN 39713 2576 20 he -PRON- PRP 39713 2576 21 can can MD 39713 2576 22 directly directly RB 39713 2576 23 observe observe VB 39713 2576 24 . . . 39713 2577 1 [ [ -LRB- 39713 2577 2 6 6 CD 39713 2577 3 ] ] -RRB- 39713 2577 4 [ [ -LRB- 39713 2577 5 6 6 CD 39713 2577 6 ] ] -RRB- 39713 2577 7 We -PRON- PRP 39713 2577 8 add add VBP 39713 2577 9 that that IN 39713 2577 10 _ _ NNP 39713 2577 11 U U NNP 39713 2577 12 _ _ NNP 39713 2577 13 will will MD 39713 2577 14 depend depend VB 39713 2577 15 only only RB 39713 2577 16 on on IN 39713 2577 17 the the DT 39713 2577 18 parameters parameter NNS 39713 2577 19 _ _ NNP 39713 2577 20 q q NNP 39713 2577 21 _ _ NNP 39713 2577 22 , , , 39713 2577 23 that that IN 39713 2577 24 _ _ NNP 39713 2577 25 T T NNP 39713 2577 26 _ _ NNP 39713 2577 27 will will MD 39713 2577 28 depend depend VB 39713 2577 29 on on IN 39713 2577 30 the the DT 39713 2577 31 parameters parameter NNS 39713 2577 32 _ _ NNP 39713 2577 33 q q NNP 39713 2577 34 _ _ NNP 39713 2577 35 and and CC 39713 2577 36 their -PRON- PRP$ 39713 2577 37 derivatives derivative NNS 39713 2577 38 with with IN 39713 2577 39 respect respect NN 39713 2577 40 to to IN 39713 2577 41 the the DT 39713 2577 42 time time NN 39713 2577 43 and and CC 39713 2577 44 will will MD 39713 2577 45 be be VB 39713 2577 46 a a DT 39713 2577 47 homogeneous homogeneous JJ 39713 2577 48 polynomial polynomial NN 39713 2577 49 of of IN 39713 2577 50 the the DT 39713 2577 51 second second JJ 39713 2577 52 degree degree NN 39713 2577 53 with with IN 39713 2577 54 respect respect NN 39713 2577 55 to to IN 39713 2577 56 these these DT 39713 2577 57 derivatives derivative NNS 39713 2577 58 . . . 39713 2578 1 That that DT 39713 2578 2 granted grant VBN 39713 2578 3 , , , 39713 2578 4 the the DT 39713 2578 5 system system NN 39713 2578 6 will will MD 39713 2578 7 always always RB 39713 2578 8 go go VB 39713 2578 9 from from IN 39713 2578 10 one one CD 39713 2578 11 position position NN 39713 2578 12 to to IN 39713 2578 13 another another DT 39713 2578 14 by by IN 39713 2578 15 a a DT 39713 2578 16 path path NN 39713 2578 17 such such JJ 39713 2578 18 that that IN 39713 2578 19 the the DT 39713 2578 20 average average JJ 39713 2578 21 action action NN 39713 2578 22 shall shall MD 39713 2578 23 be be VB 39713 2578 24 a a DT 39713 2578 25 minimum minimum NN 39713 2578 26 . . . 39713 2579 1 It -PRON- PRP 39713 2579 2 matters matter VBZ 39713 2579 3 little little JJ 39713 2579 4 that that IN 39713 2579 5 _ _ NNP 39713 2579 6 T T NNP 39713 2579 7 _ _ NNP 39713 2579 8 and and CC 39713 2579 9 _ _ NNP 39713 2579 10 U U NNP 39713 2579 11 _ _ NNP 39713 2579 12 are be VBP 39713 2579 13 now now RB 39713 2579 14 expressed express VBN 39713 2579 15 by by IN 39713 2579 16 the the DT 39713 2579 17 aid aid NN 39713 2579 18 of of IN 39713 2579 19 the the DT 39713 2579 20 parameters parameter NNS 39713 2579 21 _ _ NNP 39713 2579 22 q q NNP 39713 2579 23 _ _ NNP 39713 2579 24 and and CC 39713 2579 25 their -PRON- PRP$ 39713 2579 26 derivatives derivative NNS 39713 2579 27 ; ; : 39713 2579 28 it -PRON- PRP 39713 2579 29 matters matter VBZ 39713 2579 30 little little JJ 39713 2579 31 that that IN 39713 2579 32 it -PRON- PRP 39713 2579 33 is be VBZ 39713 2579 34 also also RB 39713 2579 35 by by IN 39713 2579 36 means mean NNS 39713 2579 37 of of IN 39713 2579 38 these these DT 39713 2579 39 parameters parameter NNS 39713 2579 40 that that WDT 39713 2579 41 we -PRON- PRP 39713 2579 42 define define VBP 39713 2579 43 the the DT 39713 2579 44 initial initial JJ 39713 2579 45 and and CC 39713 2579 46 final final JJ 39713 2579 47 positions position NNS 39713 2579 48 ; ; : 39713 2579 49 the the DT 39713 2579 50 principle principle NN 39713 2579 51 of of IN 39713 2579 52 least least JJS 39713 2579 53 action action NN 39713 2579 54 remains remain VBZ 39713 2579 55 always always RB 39713 2579 56 true true JJ 39713 2579 57 . . . 39713 2580 1 Now now RB 39713 2580 2 here here RB 39713 2580 3 again again RB 39713 2580 4 , , , 39713 2580 5 of of IN 39713 2580 6 all all PDT 39713 2580 7 the the DT 39713 2580 8 paths path NNS 39713 2580 9 that that WDT 39713 2580 10 lead lead VBP 39713 2580 11 from from IN 39713 2580 12 one one CD 39713 2580 13 position position NN 39713 2580 14 to to IN 39713 2580 15 another another DT 39713 2580 16 , , , 39713 2580 17 there there EX 39713 2580 18 is be VBZ 39713 2580 19 one one CD 39713 2580 20 for for IN 39713 2580 21 which which WDT 39713 2580 22 the the DT 39713 2580 23 average average JJ 39713 2580 24 action action NN 39713 2580 25 is be VBZ 39713 2580 26 a a DT 39713 2580 27 minimum minimum NN 39713 2580 28 , , , 39713 2580 29 and and CC 39713 2580 30 there there EX 39713 2580 31 is be VBZ 39713 2580 32 only only RB 39713 2580 33 one one CD 39713 2580 34 . . . 39713 2581 1 The the DT 39713 2581 2 principle principle NN 39713 2581 3 of of IN 39713 2581 4 least least JJS 39713 2581 5 action action NN 39713 2581 6 suffices suffice NNS 39713 2581 7 , , , 39713 2581 8 then then RB 39713 2581 9 , , , 39713 2581 10 to to TO 39713 2581 11 determine determine VB 39713 2581 12 the the DT 39713 2581 13 differential differential NN 39713 2581 14 equations equation NNS 39713 2581 15 which which WDT 39713 2581 16 define define VBP 39713 2581 17 the the DT 39713 2581 18 variations variation NNS 39713 2581 19 of of IN 39713 2581 20 the the DT 39713 2581 21 parameters parameter NNS 39713 2581 22 _ _ NNP 39713 2581 23 q q NNP 39713 2581 24 _ _ NNP 39713 2581 25 . . . 39713 2582 1 The the DT 39713 2582 2 equations equation NNS 39713 2582 3 thus thus RB 39713 2582 4 obtained obtain VBN 39713 2582 5 are be VBP 39713 2582 6 another another DT 39713 2582 7 form form NN 39713 2582 8 of of IN 39713 2582 9 the the DT 39713 2582 10 equations equation NNS 39713 2582 11 of of IN 39713 2582 12 Lagrange Lagrange NNP 39713 2582 13 . . . 39713 2583 1 To to TO 39713 2583 2 form form VB 39713 2583 3 these these DT 39713 2583 4 equations equation NNS 39713 2583 5 we -PRON- PRP 39713 2583 6 need need VBP 39713 2583 7 to to TO 39713 2583 8 know know VB 39713 2583 9 neither neither CC 39713 2583 10 the the DT 39713 2583 11 relations relation NNS 39713 2583 12 that that WDT 39713 2583 13 connect connect VBP 39713 2583 14 the the DT 39713 2583 15 parameters parameter NNS 39713 2583 16 _ _ NNP 39713 2583 17 q q NNP 39713 2583 18 _ _ NNP 39713 2583 19 with with IN 39713 2583 20 the the DT 39713 2583 21 coordinates coordinate NNS 39713 2583 22 of of IN 39713 2583 23 the the DT 39713 2583 24 hypothetical hypothetical JJ 39713 2583 25 molecules molecule NNS 39713 2583 26 , , , 39713 2583 27 nor nor CC 39713 2583 28 the the DT 39713 2583 29 masses masse NNS 39713 2583 30 of of IN 39713 2583 31 these these DT 39713 2583 32 molecules molecule NNS 39713 2583 33 , , , 39713 2583 34 nor nor CC 39713 2583 35 the the DT 39713 2583 36 expression expression NN 39713 2583 37 of of IN 39713 2583 38 _ _ NNP 39713 2583 39 U U NNP 39713 2583 40 _ _ NNP 39713 2583 41 as as IN 39713 2583 42 a a DT 39713 2583 43 function function NN 39713 2583 44 of of IN 39713 2583 45 the the DT 39713 2583 46 coordinates coordinate NNS 39713 2583 47 of of IN 39713 2583 48 these these DT 39713 2583 49 molecules molecule NNS 39713 2583 50 . . . 39713 2584 1 All all DT 39713 2584 2 we -PRON- PRP 39713 2584 3 need need VBP 39713 2584 4 to to TO 39713 2584 5 know know VB 39713 2584 6 is be VBZ 39713 2584 7 the the DT 39713 2584 8 expression expression NN 39713 2584 9 of of IN 39713 2584 10 _ _ NNP 39713 2584 11 U U NNP 39713 2584 12 _ _ NNP 39713 2584 13 as as IN 39713 2584 14 a a DT 39713 2584 15 function function NN 39713 2584 16 of of IN 39713 2584 17 the the DT 39713 2584 18 parameters parameter NNS 39713 2584 19 , , , 39713 2584 20 and and CC 39713 2584 21 that that DT 39713 2584 22 of of IN 39713 2584 23 _ _ NNP 39713 2584 24 T T NNP 39713 2584 25 _ _ NNP 39713 2584 26 as as IN 39713 2584 27 a a DT 39713 2584 28 function function NN 39713 2584 29 of of IN 39713 2584 30 the the DT 39713 2584 31 parameters parameter NNS 39713 2584 32 _ _ NNP 39713 2584 33 q q NNP 39713 2584 34 _ _ NNP 39713 2584 35 and and CC 39713 2584 36 their -PRON- PRP$ 39713 2584 37 derivatives derivative NNS 39713 2584 38 , , , 39713 2584 39 that that RB 39713 2584 40 is is RB 39713 2584 41 , , , 39713 2584 42 the the DT 39713 2584 43 expressions expression NNS 39713 2584 44 of of IN 39713 2584 45 the the DT 39713 2584 46 kinetic kinetic NN 39713 2584 47 and and CC 39713 2584 48 of of IN 39713 2584 49 the the DT 39713 2584 50 potential potential JJ 39713 2584 51 energy energy NN 39713 2584 52 as as IN 39713 2584 53 functions function NNS 39713 2584 54 of of IN 39713 2584 55 the the DT 39713 2584 56 experimental experimental JJ 39713 2584 57 data datum NNS 39713 2584 58 . . . 39713 2585 1 Then then RB 39713 2585 2 we -PRON- PRP 39713 2585 3 shall shall MD 39713 2585 4 have have VB 39713 2585 5 one one CD 39713 2585 6 of of IN 39713 2585 7 two two CD 39713 2585 8 things thing NNS 39713 2585 9 : : : 39713 2585 10 either either CC 39713 2585 11 for for IN 39713 2585 12 a a DT 39713 2585 13 suitable suitable JJ 39713 2585 14 choice choice NN 39713 2585 15 of of IN 39713 2585 16 the the DT 39713 2585 17 functions function NNS 39713 2585 18 _ _ NNP 39713 2585 19 T T NNP 39713 2585 20 _ _ NNP 39713 2585 21 and and CC 39713 2585 22 _ _ NNP 39713 2585 23 U U NNP 39713 2585 24 _ _ NNP 39713 2585 25 , , , 39713 2585 26 the the DT 39713 2585 27 equations equation NNS 39713 2585 28 of of IN 39713 2585 29 Lagrange Lagrange NNP 39713 2585 30 , , , 39713 2585 31 constructed construct VBN 39713 2585 32 as as IN 39713 2585 33 we -PRON- PRP 39713 2585 34 have have VBP 39713 2585 35 just just RB 39713 2585 36 said say VBN 39713 2585 37 , , , 39713 2585 38 will will MD 39713 2585 39 be be VB 39713 2585 40 identical identical JJ 39713 2585 41 with with IN 39713 2585 42 the the DT 39713 2585 43 differential differential JJ 39713 2585 44 equations equation NNS 39713 2585 45 deduced deduce VBN 39713 2585 46 from from IN 39713 2585 47 experiments experiment NNS 39713 2585 48 ; ; : 39713 2585 49 or or CC 39713 2585 50 else else RB 39713 2585 51 there there EX 39713 2585 52 will will MD 39713 2585 53 exist exist VB 39713 2585 54 no no DT 39713 2585 55 functions function NNS 39713 2585 56 _ _ NNP 39713 2585 57 T T NNP 39713 2585 58 _ _ NNP 39713 2585 59 and and CC 39713 2585 60 _ _ NNP 39713 2585 61 U U NNP 39713 2585 62 _ _ NNP 39713 2585 63 , , , 39713 2585 64 for for IN 39713 2585 65 which which WDT 39713 2585 66 this this DT 39713 2585 67 agreement agreement NN 39713 2585 68 takes take VBZ 39713 2585 69 place place NN 39713 2585 70 . . . 39713 2586 1 In in IN 39713 2586 2 the the DT 39713 2586 3 latter latter JJ 39713 2586 4 case case NN 39713 2586 5 it -PRON- PRP 39713 2586 6 is be VBZ 39713 2586 7 clear clear JJ 39713 2586 8 that that IN 39713 2586 9 no no DT 39713 2586 10 mechanical mechanical JJ 39713 2586 11 explanation explanation NN 39713 2586 12 is be VBZ 39713 2586 13 possible possible JJ 39713 2586 14 . . . 39713 2587 1 The the DT 39713 2587 2 _ _ NNP 39713 2587 3 necessary necessary JJ 39713 2587 4 _ _ NNP 39713 2587 5 condition condition NN 39713 2587 6 for for IN 39713 2587 7 a a DT 39713 2587 8 mechanical mechanical JJ 39713 2587 9 explanation explanation NN 39713 2587 10 to to TO 39713 2587 11 be be VB 39713 2587 12 possible possible JJ 39713 2587 13 is be VBZ 39713 2587 14 therefore therefore RB 39713 2587 15 that that IN 39713 2587 16 we -PRON- PRP 39713 2587 17 can can MD 39713 2587 18 choose choose VB 39713 2587 19 the the DT 39713 2587 20 functions function NNS 39713 2587 21 _ _ NNP 39713 2587 22 T T NNP 39713 2587 23 _ _ NNP 39713 2587 24 and and CC 39713 2587 25 _ _ NNP 39713 2587 26 U U NNP 39713 2587 27 _ _ NNP 39713 2587 28 in in IN 39713 2587 29 such such PDT 39713 2587 30 a a DT 39713 2587 31 way way NN 39713 2587 32 as as IN 39713 2587 33 to to TO 39713 2587 34 satisfy satisfy VB 39713 2587 35 the the DT 39713 2587 36 principle principle NN 39713 2587 37 of of IN 39713 2587 38 least least JJS 39713 2587 39 action action NN 39713 2587 40 , , , 39713 2587 41 which which WDT 39713 2587 42 involves involve VBZ 39713 2587 43 that that DT 39713 2587 44 of of IN 39713 2587 45 the the DT 39713 2587 46 conservation conservation NN 39713 2587 47 of of IN 39713 2587 48 energy energy NN 39713 2587 49 . . . 39713 2588 1 This this DT 39713 2588 2 condition condition NN 39713 2588 3 , , , 39713 2588 4 moreover moreover RB 39713 2588 5 , , , 39713 2588 6 is be VBZ 39713 2588 7 _ _ NNP 39713 2588 8 sufficient sufficient JJ 39713 2588 9 _ _ NNP 39713 2588 10 . . . 39713 2589 1 Suppose suppose VB 39713 2589 2 , , , 39713 2589 3 in in IN 39713 2589 4 fact fact NN 39713 2589 5 , , , 39713 2589 6 that that IN 39713 2589 7 we -PRON- PRP 39713 2589 8 have have VBP 39713 2589 9 found find VBN 39713 2589 10 a a DT 39713 2589 11 function function NN 39713 2589 12 _ _ NNP 39713 2589 13 U U NNP 39713 2589 14 _ _ NNP 39713 2589 15 of of IN 39713 2589 16 the the DT 39713 2589 17 parameters parameter NNS 39713 2589 18 _ _ NNP 39713 2589 19 q q NNP 39713 2589 20 _ _ NNP 39713 2589 21 , , , 39713 2589 22 which which WDT 39713 2589 23 represents represent VBZ 39713 2589 24 one one CD 39713 2589 25 of of IN 39713 2589 26 the the DT 39713 2589 27 parts part NNS 39713 2589 28 of of IN 39713 2589 29 the the DT 39713 2589 30 energy energy NN 39713 2589 31 ; ; : 39713 2589 32 that that IN 39713 2589 33 another another DT 39713 2589 34 part part NN 39713 2589 35 of of IN 39713 2589 36 the the DT 39713 2589 37 energy energy NN 39713 2589 38 , , , 39713 2589 39 which which WDT 39713 2589 40 we -PRON- PRP 39713 2589 41 shall shall MD 39713 2589 42 represent represent VB 39713 2589 43 by by IN 39713 2589 44 _ _ NNP 39713 2589 45 T T NNP 39713 2589 46 _ _ NNP 39713 2589 47 , , , 39713 2589 48 is be VBZ 39713 2589 49 a a DT 39713 2589 50 function function NN 39713 2589 51 of of IN 39713 2589 52 the the DT 39713 2589 53 parameters parameter NNS 39713 2589 54 _ _ NNP 39713 2589 55 q q NNP 39713 2589 56 _ _ NNP 39713 2589 57 and and CC 39713 2589 58 their -PRON- PRP$ 39713 2589 59 derivatives derivative NNS 39713 2589 60 , , , 39713 2589 61 and and CC 39713 2589 62 that that IN 39713 2589 63 it -PRON- PRP 39713 2589 64 is be VBZ 39713 2589 65 a a DT 39713 2589 66 homogeneous homogeneous JJ 39713 2589 67 polynomial polynomial NN 39713 2589 68 of of IN 39713 2589 69 the the DT 39713 2589 70 second second JJ 39713 2589 71 degree degree NN 39713 2589 72 with with IN 39713 2589 73 respect respect NN 39713 2589 74 to to IN 39713 2589 75 these these DT 39713 2589 76 derivatives derivative NNS 39713 2589 77 ; ; : 39713 2589 78 and and CC 39713 2589 79 finally finally RB 39713 2589 80 that that IN 39713 2589 81 the the DT 39713 2589 82 equations equation NNS 39713 2589 83 of of IN 39713 2589 84 Lagrange Lagrange NNP 39713 2589 85 , , , 39713 2589 86 formed form VBN 39713 2589 87 by by IN 39713 2589 88 means mean NNS 39713 2589 89 of of IN 39713 2589 90 these these DT 39713 2589 91 two two CD 39713 2589 92 functions function NNS 39713 2589 93 , , , 39713 2589 94 _ _ NNP 39713 2589 95 T T NNP 39713 2589 96 _ _ NNP 39713 2589 97 and and CC 39713 2589 98 _ _ NNP 39713 2589 99 U U NNP 39713 2589 100 _ _ NNP 39713 2589 101 , , , 39713 2589 102 conform conform VB 39713 2589 103 to to IN 39713 2589 104 the the DT 39713 2589 105 data datum NNS 39713 2589 106 of of IN 39713 2589 107 the the DT 39713 2589 108 experiment experiment NN 39713 2589 109 . . . 39713 2590 1 What what WP 39713 2590 2 is be VBZ 39713 2590 3 necessary necessary JJ 39713 2590 4 in in IN 39713 2590 5 order order NN 39713 2590 6 to to TO 39713 2590 7 deduce deduce VB 39713 2590 8 from from IN 39713 2590 9 this this DT 39713 2590 10 a a DT 39713 2590 11 mechanical mechanical JJ 39713 2590 12 explanation explanation NN 39713 2590 13 ? ? . 39713 2591 1 It -PRON- PRP 39713 2591 2 is be VBZ 39713 2591 3 necessary necessary JJ 39713 2591 4 that that IN 39713 2591 5 _ _ NNP 39713 2591 6 U U NNP 39713 2591 7 _ _ NNP 39713 2591 8 can can MD 39713 2591 9 be be VB 39713 2591 10 regarded regard VBN 39713 2591 11 as as IN 39713 2591 12 the the DT 39713 2591 13 potential potential JJ 39713 2591 14 energy energy NN 39713 2591 15 of of IN 39713 2591 16 a a DT 39713 2591 17 system system NN 39713 2591 18 and and CC 39713 2591 19 _ _ NNP 39713 2591 20 T T NNP 39713 2591 21 _ _ NNP 39713 2591 22 as as IN 39713 2591 23 the the DT 39713 2591 24 _ _ NNP 39713 2591 25 vis vis FW 39713 2591 26 viva viva FW 39713 2591 27 _ _ NNP 39713 2591 28 of of IN 39713 2591 29 the the DT 39713 2591 30 same same JJ 39713 2591 31 system system NN 39713 2591 32 . . . 39713 2592 1 There there EX 39713 2592 2 is be VBZ 39713 2592 3 no no DT 39713 2592 4 difficulty difficulty NN 39713 2592 5 as as IN 39713 2592 6 to to IN 39713 2592 7 _ _ NNP 39713 2592 8 U U NNP 39713 2592 9 _ _ NNP 39713 2592 10 , , , 39713 2592 11 but but CC 39713 2592 12 can can MD 39713 2592 13 _ _ NNP 39713 2592 14 T T NNP 39713 2592 15 _ _ NNP 39713 2592 16 be be VB 39713 2592 17 regarded regard VBN 39713 2592 18 as as IN 39713 2592 19 the the DT 39713 2592 20 _ _ NNP 39713 2592 21 vis vis FW 39713 2592 22 viva viva FW 39713 2592 23 _ _ NNP 39713 2592 24 of of IN 39713 2592 25 a a DT 39713 2592 26 material material NN 39713 2592 27 system system NN 39713 2592 28 ? ? . 39713 2593 1 It -PRON- PRP 39713 2593 2 is be VBZ 39713 2593 3 easy easy JJ 39713 2593 4 to to TO 39713 2593 5 show show VB 39713 2593 6 that that IN 39713 2593 7 this this DT 39713 2593 8 is be VBZ 39713 2593 9 always always RB 39713 2593 10 possible possible JJ 39713 2593 11 , , , 39713 2593 12 and and CC 39713 2593 13 even even RB 39713 2593 14 in in IN 39713 2593 15 an an DT 39713 2593 16 infinity infinity NN 39713 2593 17 of of IN 39713 2593 18 ways way NNS 39713 2593 19 . . . 39713 2594 1 I -PRON- PRP 39713 2594 2 will will MD 39713 2594 3 confine confine VB 39713 2594 4 myself -PRON- PRP 39713 2594 5 to to IN 39713 2594 6 referring refer VBG 39713 2594 7 for for IN 39713 2594 8 more more JJR 39713 2594 9 details detail NNS 39713 2594 10 to to IN 39713 2594 11 the the DT 39713 2594 12 preface preface NN 39713 2594 13 of of IN 39713 2594 14 my -PRON- PRP$ 39713 2594 15 work work NN 39713 2594 16 , , , 39713 2594 17 ' ' '' 39713 2594 18 Électricité Électricité NNP 39713 2594 19 et et NNP 39713 2594 20 optique optique NN 39713 2594 21 . . . 39713 2594 22 ' ' '' 39713 2595 1 Thus thus RB 39713 2595 2 if if IN 39713 2595 3 the the DT 39713 2595 4 principle principle NN 39713 2595 5 of of IN 39713 2595 6 least least JJS 39713 2595 7 action action NN 39713 2595 8 can can MD 39713 2595 9 not not RB 39713 2595 10 be be VB 39713 2595 11 satisfied satisfied JJ 39713 2595 12 , , , 39713 2595 13 no no DT 39713 2595 14 mechanical mechanical JJ 39713 2595 15 explanation explanation NN 39713 2595 16 is be VBZ 39713 2595 17 possible possible JJ 39713 2595 18 ; ; : 39713 2595 19 if if IN 39713 2595 20 it -PRON- PRP 39713 2595 21 can can MD 39713 2595 22 be be VB 39713 2595 23 satisfied satisfied JJ 39713 2595 24 , , , 39713 2595 25 there there EX 39713 2595 26 is be VBZ 39713 2595 27 not not RB 39713 2595 28 only only RB 39713 2595 29 one one CD 39713 2595 30 , , , 39713 2595 31 but but CC 39713 2595 32 an an DT 39713 2595 33 infinity infinity NN 39713 2595 34 , , , 39713 2595 35 whence whence NN 39713 2595 36 it -PRON- PRP 39713 2595 37 follows follow VBZ 39713 2595 38 that that IN 39713 2595 39 as as RB 39713 2595 40 soon soon RB 39713 2595 41 as as IN 39713 2595 42 there there EX 39713 2595 43 is be VBZ 39713 2595 44 one one CD 39713 2595 45 there there EX 39713 2595 46 is be VBZ 39713 2595 47 an an DT 39713 2595 48 infinity infinity NN 39713 2595 49 of of IN 39713 2595 50 others other NNS 39713 2595 51 . . . 39713 2596 1 One one CD 39713 2596 2 more more JJR 39713 2596 3 observation observation NN 39713 2596 4 . . . 39713 2597 1 Among among IN 39713 2597 2 the the DT 39713 2597 3 quantities quantity NNS 39713 2597 4 that that WDT 39713 2597 5 experiment experiment NN 39713 2597 6 gives give VBZ 39713 2597 7 us -PRON- PRP 39713 2597 8 directly directly RB 39713 2597 9 , , , 39713 2597 10 we -PRON- PRP 39713 2597 11 shall shall MD 39713 2597 12 regard regard VB 39713 2597 13 some some DT 39713 2597 14 as as IN 39713 2597 15 functions function NNS 39713 2597 16 of of IN 39713 2597 17 the the DT 39713 2597 18 coordinates coordinate NNS 39713 2597 19 of of IN 39713 2597 20 our -PRON- PRP$ 39713 2597 21 hypothetical hypothetical JJ 39713 2597 22 molecules molecule NNS 39713 2597 23 ; ; : 39713 2597 24 these these DT 39713 2597 25 are be VBP 39713 2597 26 our -PRON- PRP$ 39713 2597 27 parameters parameter NNS 39713 2597 28 _ _ NNP 39713 2597 29 q q NNP 39713 2597 30 _ _ NNP 39713 2597 31 . . . 39713 2598 1 We -PRON- PRP 39713 2598 2 shall shall MD 39713 2598 3 look look VB 39713 2598 4 upon upon IN 39713 2598 5 the the DT 39713 2598 6 others other NNS 39713 2598 7 as as RB 39713 2598 8 dependent dependent JJ 39713 2598 9 not not RB 39713 2598 10 only only RB 39713 2598 11 on on IN 39713 2598 12 the the DT 39713 2598 13 coordinates coordinate NNS 39713 2598 14 , , , 39713 2598 15 but but CC 39713 2598 16 on on IN 39713 2598 17 the the DT 39713 2598 18 velocities velocity NNS 39713 2598 19 , , , 39713 2598 20 or or CC 39713 2598 21 , , , 39713 2598 22 what what WP 39713 2598 23 comes come VBZ 39713 2598 24 to to IN 39713 2598 25 the the DT 39713 2598 26 same same JJ 39713 2598 27 thing thing NN 39713 2598 28 , , , 39713 2598 29 on on IN 39713 2598 30 the the DT 39713 2598 31 derivatives derivative NNS 39713 2598 32 of of IN 39713 2598 33 the the DT 39713 2598 34 parameters parameter NNS 39713 2598 35 _ _ NNP 39713 2598 36 q q NNP 39713 2598 37 _ _ NNP 39713 2598 38 , , , 39713 2598 39 or or CC 39713 2598 40 as as IN 39713 2598 41 combinations combination NNS 39713 2598 42 of of IN 39713 2598 43 these these DT 39713 2598 44 parameters parameter NNS 39713 2598 45 and and CC 39713 2598 46 their -PRON- PRP$ 39713 2598 47 derivatives derivative NNS 39713 2598 48 . . . 39713 2599 1 And and CC 39713 2599 2 then then RB 39713 2599 3 a a DT 39713 2599 4 question question NN 39713 2599 5 presents present VBZ 39713 2599 6 itself -PRON- PRP 39713 2599 7 : : : 39713 2599 8 among among IN 39713 2599 9 all all PDT 39713 2599 10 these these DT 39713 2599 11 quantities quantity NNS 39713 2599 12 measured measure VBN 39713 2599 13 experimentally experimentally RB 39713 2599 14 , , , 39713 2599 15 which which WDT 39713 2599 16 shall shall MD 39713 2599 17 we -PRON- PRP 39713 2599 18 choose choose VB 39713 2599 19 to to TO 39713 2599 20 represent represent VB 39713 2599 21 the the DT 39713 2599 22 parameters parameter NNS 39713 2599 23 _ _ NNP 39713 2599 24 q q NNP 39713 2599 25 _ _ NNP 39713 2599 26 ? ? . 39713 2600 1 Which which WDT 39713 2600 2 shall shall MD 39713 2600 3 we -PRON- PRP 39713 2600 4 prefer prefer VB 39713 2600 5 to to TO 39713 2600 6 regard regard VB 39713 2600 7 as as IN 39713 2600 8 the the DT 39713 2600 9 derivatives derivative NNS 39713 2600 10 of of IN 39713 2600 11 these these DT 39713 2600 12 parameters parameter NNS 39713 2600 13 ? ? . 39713 2601 1 This this DT 39713 2601 2 choice choice NN 39713 2601 3 remains remain VBZ 39713 2601 4 arbitrary arbitrary JJ 39713 2601 5 to to IN 39713 2601 6 a a DT 39713 2601 7 very very RB 39713 2601 8 large large JJ 39713 2601 9 extent extent NN 39713 2601 10 ; ; : 39713 2601 11 but but CC 39713 2601 12 , , , 39713 2601 13 for for IN 39713 2601 14 a a DT 39713 2601 15 mechanical mechanical JJ 39713 2601 16 explanation explanation NN 39713 2601 17 to to TO 39713 2601 18 be be VB 39713 2601 19 possible possible JJ 39713 2601 20 , , , 39713 2601 21 it -PRON- PRP 39713 2601 22 suffices suffice VBZ 39713 2601 23 if if IN 39713 2601 24 we -PRON- PRP 39713 2601 25 can can MD 39713 2601 26 make make VB 39713 2601 27 the the DT 39713 2601 28 choice choice NN 39713 2601 29 in in IN 39713 2601 30 such such PDT 39713 2601 31 a a DT 39713 2601 32 way way NN 39713 2601 33 as as IN 39713 2601 34 to to TO 39713 2601 35 accord accord VB 39713 2601 36 with with IN 39713 2601 37 the the DT 39713 2601 38 principle principle NN 39713 2601 39 of of IN 39713 2601 40 least least JJS 39713 2601 41 action action NN 39713 2601 42 . . . 39713 2602 1 And and CC 39713 2602 2 then then RB 39713 2602 3 Maxwell Maxwell NNP 39713 2602 4 asked ask VBD 39713 2602 5 himself -PRON- PRP 39713 2602 6 whether whether IN 39713 2602 7 he -PRON- PRP 39713 2602 8 could could MD 39713 2602 9 make make VB 39713 2602 10 this this DT 39713 2602 11 choice choice NN 39713 2602 12 and and CC 39713 2602 13 that that DT 39713 2602 14 of of IN 39713 2602 15 the the DT 39713 2602 16 two two CD 39713 2602 17 energies energy NNS 39713 2602 18 _ _ NNP 39713 2602 19 T T NNP 39713 2602 20 _ _ NNP 39713 2602 21 and and CC 39713 2602 22 _ _ NNP 39713 2602 23 U U NNP 39713 2602 24 _ _ NNP 39713 2602 25 , , , 39713 2602 26 in in IN 39713 2602 27 such such PDT 39713 2602 28 a a DT 39713 2602 29 way way NN 39713 2602 30 that that WDT 39713 2602 31 the the DT 39713 2602 32 electrical electrical JJ 39713 2602 33 phenomena phenomenon NNS 39713 2602 34 would would MD 39713 2602 35 satisfy satisfy VB 39713 2602 36 this this DT 39713 2602 37 principle principle NN 39713 2602 38 . . . 39713 2603 1 Experiment experiment NN 39713 2603 2 shows show VBZ 39713 2603 3 us -PRON- PRP 39713 2603 4 that that IN 39713 2603 5 the the DT 39713 2603 6 energy energy NN 39713 2603 7 of of IN 39713 2603 8 an an DT 39713 2603 9 electromagnetic electromagnetic JJ 39713 2603 10 field field NN 39713 2603 11 is be VBZ 39713 2603 12 decomposed decompose VBN 39713 2603 13 into into IN 39713 2603 14 two two CD 39713 2603 15 parts part NNS 39713 2603 16 , , , 39713 2603 17 the the DT 39713 2603 18 electrostatic electrostatic JJ 39713 2603 19 energy energy NN 39713 2603 20 and and CC 39713 2603 21 the the DT 39713 2603 22 electrodynamic electrodynamic JJ 39713 2603 23 energy energy NN 39713 2603 24 . . . 39713 2604 1 Maxwell Maxwell NNP 39713 2604 2 observed observe VBD 39713 2604 3 that that IN 39713 2604 4 if if IN 39713 2604 5 we -PRON- PRP 39713 2604 6 regard regard VBP 39713 2604 7 the the DT 39713 2604 8 first first JJ 39713 2604 9 as as IN 39713 2604 10 representing represent VBG 39713 2604 11 the the DT 39713 2604 12 potential potential JJ 39713 2604 13 energy energy NN 39713 2604 14 _ _ NNP 39713 2604 15 U U NNP 39713 2604 16 _ _ NNP 39713 2604 17 , , , 39713 2604 18 the the DT 39713 2604 19 second second JJ 39713 2604 20 as as IN 39713 2604 21 representing represent VBG 39713 2604 22 the the DT 39713 2604 23 kinetic kinetic JJ 39713 2604 24 energy energy NN 39713 2604 25 _ _ NNP 39713 2604 26 T T NNP 39713 2604 27 _ _ NNP 39713 2604 28 ; ; : 39713 2604 29 if if IN 39713 2604 30 , , , 39713 2604 31 moreover moreover RB 39713 2604 32 , , , 39713 2604 33 the the DT 39713 2604 34 electrostatic electrostatic JJ 39713 2604 35 charges charge NNS 39713 2604 36 of of IN 39713 2604 37 the the DT 39713 2604 38 conductors conductor NNS 39713 2604 39 are be VBP 39713 2604 40 considered consider VBN 39713 2604 41 as as IN 39713 2604 42 parameters parameter NNS 39713 2604 43 _ _ NNP 39713 2604 44 q q NNP 39713 2604 45 _ _ NNP 39713 2604 46 and and CC 39713 2604 47 the the DT 39713 2604 48 intensities intensity NNS 39713 2604 49 of of IN 39713 2604 50 the the DT 39713 2604 51 currents current NNS 39713 2604 52 as as IN 39713 2604 53 the the DT 39713 2604 54 derivatives derivative NNS 39713 2604 55 of of IN 39713 2604 56 other other JJ 39713 2604 57 parameters parameter NNS 39713 2604 58 _ _ NNP 39713 2604 59 q q NNP 39713 2604 60 _ _ NNP 39713 2604 61 ; ; : 39713 2604 62 under under IN 39713 2604 63 these these DT 39713 2604 64 conditions condition NNS 39713 2604 65 , , , 39713 2604 66 I -PRON- PRP 39713 2604 67 say say VBP 39713 2604 68 , , , 39713 2604 69 Maxwell Maxwell NNP 39713 2604 70 observed observe VBD 39713 2604 71 that that IN 39713 2604 72 the the DT 39713 2604 73 electric electric JJ 39713 2604 74 phenomena phenomenon NNS 39713 2604 75 satisfy satisfy VBP 39713 2604 76 the the DT 39713 2604 77 principle principle NN 39713 2604 78 of of IN 39713 2604 79 least least JJS 39713 2604 80 action action NN 39713 2604 81 . . . 39713 2605 1 Thenceforth thenceforth NN 39713 2605 2 he -PRON- PRP 39713 2605 3 was be VBD 39713 2605 4 certain certain JJ 39713 2605 5 of of IN 39713 2605 6 the the DT 39713 2605 7 possibility possibility NN 39713 2605 8 of of IN 39713 2605 9 a a DT 39713 2605 10 mechanical mechanical JJ 39713 2605 11 explanation explanation NN 39713 2605 12 . . . 39713 2606 1 If if IN 39713 2606 2 he -PRON- PRP 39713 2606 3 had have VBD 39713 2606 4 explained explain VBN 39713 2606 5 this this DT 39713 2606 6 idea idea NN 39713 2606 7 at at IN 39713 2606 8 the the DT 39713 2606 9 beginning beginning NN 39713 2606 10 of of IN 39713 2606 11 his -PRON- PRP$ 39713 2606 12 book book NN 39713 2606 13 instead instead RB 39713 2606 14 of of IN 39713 2606 15 relegating relegate VBG 39713 2606 16 it -PRON- PRP 39713 2606 17 to to IN 39713 2606 18 an an DT 39713 2606 19 obscure obscure JJ 39713 2606 20 part part NN 39713 2606 21 of of IN 39713 2606 22 the the DT 39713 2606 23 second second JJ 39713 2606 24 volume volume NN 39713 2606 25 , , , 39713 2606 26 it -PRON- PRP 39713 2606 27 would would MD 39713 2606 28 not not RB 39713 2606 29 have have VB 39713 2606 30 escaped escape VBN 39713 2606 31 the the DT 39713 2606 32 majority majority NN 39713 2606 33 of of IN 39713 2606 34 readers reader NNS 39713 2606 35 . . . 39713 2607 1 If if IN 39713 2607 2 , , , 39713 2607 3 then then RB 39713 2607 4 , , , 39713 2607 5 a a DT 39713 2607 6 phenomenon phenomenon NN 39713 2607 7 admits admit VBZ 39713 2607 8 of of IN 39713 2607 9 a a DT 39713 2607 10 complete complete JJ 39713 2607 11 mechanical mechanical JJ 39713 2607 12 explanation explanation NN 39713 2607 13 , , , 39713 2607 14 it -PRON- PRP 39713 2607 15 will will MD 39713 2607 16 admit admit VB 39713 2607 17 of of IN 39713 2607 18 an an DT 39713 2607 19 infinity infinity NN 39713 2607 20 of of IN 39713 2607 21 others other NNS 39713 2607 22 , , , 39713 2607 23 that that WDT 39713 2607 24 will will MD 39713 2607 25 render render VB 39713 2607 26 an an DT 39713 2607 27 account account NN 39713 2607 28 equally equally RB 39713 2607 29 well well RB 39713 2607 30 of of IN 39713 2607 31 all all PDT 39713 2607 32 the the DT 39713 2607 33 particulars particular NNS 39713 2607 34 revealed reveal VBN 39713 2607 35 by by IN 39713 2607 36 experiment experiment NN 39713 2607 37 . . . 39713 2608 1 And and CC 39713 2608 2 this this DT 39713 2608 3 is be VBZ 39713 2608 4 confirmed confirm VBN 39713 2608 5 by by IN 39713 2608 6 the the DT 39713 2608 7 history history NN 39713 2608 8 of of IN 39713 2608 9 every every DT 39713 2608 10 branch branch NN 39713 2608 11 of of IN 39713 2608 12 physics physics NN 39713 2608 13 ; ; : 39713 2608 14 in in IN 39713 2608 15 optics optic NNS 39713 2608 16 , , , 39713 2608 17 for for IN 39713 2608 18 instance instance NN 39713 2608 19 , , , 39713 2608 20 Fresnel Fresnel NNP 39713 2608 21 believed believe VBD 39713 2608 22 vibration vibration NN 39713 2608 23 to to TO 39713 2608 24 be be VB 39713 2608 25 perpendicular perpendicular JJ 39713 2608 26 to to IN 39713 2608 27 the the DT 39713 2608 28 plane plane NN 39713 2608 29 of of IN 39713 2608 30 polarization polarization NN 39713 2608 31 ; ; : 39713 2608 32 Neumann Neumann NNP 39713 2608 33 regarded regard VBD 39713 2608 34 it -PRON- PRP 39713 2608 35 as as IN 39713 2608 36 parallel parallel JJ 39713 2608 37 to to IN 39713 2608 38 this this DT 39713 2608 39 plane plane NN 39713 2608 40 . . . 39713 2609 1 An an DT 39713 2609 2 ' ' `` 39713 2609 3 experimentum experimentum JJ 39713 2609 4 crucis crucis NN 39713 2609 5 ' ' '' 39713 2609 6 has have VBZ 39713 2609 7 long long RB 39713 2609 8 been be VBN 39713 2609 9 sought seek VBN 39713 2609 10 which which WDT 39713 2609 11 would would MD 39713 2609 12 enable enable VB 39713 2609 13 us -PRON- PRP 39713 2609 14 to to TO 39713 2609 15 decide decide VB 39713 2609 16 between between IN 39713 2609 17 these these DT 39713 2609 18 two two CD 39713 2609 19 theories theory NNS 39713 2609 20 , , , 39713 2609 21 but but CC 39713 2609 22 it -PRON- PRP 39713 2609 23 has have VBZ 39713 2609 24 not not RB 39713 2609 25 been be VBN 39713 2609 26 found find VBN 39713 2609 27 . . . 39713 2610 1 In in IN 39713 2610 2 the the DT 39713 2610 3 same same JJ 39713 2610 4 way way NN 39713 2610 5 , , , 39713 2610 6 without without IN 39713 2610 7 leaving leave VBG 39713 2610 8 the the DT 39713 2610 9 domain domain NN 39713 2610 10 of of IN 39713 2610 11 electricity electricity NN 39713 2610 12 , , , 39713 2610 13 we -PRON- PRP 39713 2610 14 may may MD 39713 2610 15 ascertain ascertain VB 39713 2610 16 that that IN 39713 2610 17 the the DT 39713 2610 18 theory theory NN 39713 2610 19 of of IN 39713 2610 20 two two CD 39713 2610 21 fluids fluid NNS 39713 2610 22 and and CC 39713 2610 23 that that DT 39713 2610 24 of of IN 39713 2610 25 the the DT 39713 2610 26 single single JJ 39713 2610 27 fluid fluid NN 39713 2610 28 both both DT 39713 2610 29 account account NN 39713 2610 30 in in IN 39713 2610 31 a a DT 39713 2610 32 fashion fashion NN 39713 2610 33 equally equally RB 39713 2610 34 satisfactory satisfactory JJ 39713 2610 35 for for IN 39713 2610 36 all all PDT 39713 2610 37 the the DT 39713 2610 38 observed observed JJ 39713 2610 39 laws law NNS 39713 2610 40 of of IN 39713 2610 41 electrostatics electrostatic NNS 39713 2610 42 . . . 39713 2611 1 All all PDT 39713 2611 2 these these DT 39713 2611 3 facts fact NNS 39713 2611 4 are be VBP 39713 2611 5 easily easily RB 39713 2611 6 explicable explicable JJ 39713 2611 7 , , , 39713 2611 8 thanks thank NNS 39713 2611 9 to to IN 39713 2611 10 the the DT 39713 2611 11 properties property NNS 39713 2611 12 of of IN 39713 2611 13 the the DT 39713 2611 14 equations equation NNS 39713 2611 15 of of IN 39713 2611 16 Lagrange Lagrange NNP 39713 2611 17 which which WDT 39713 2611 18 I -PRON- PRP 39713 2611 19 have have VBP 39713 2611 20 just just RB 39713 2611 21 recalled recall VBN 39713 2611 22 . . . 39713 2612 1 It -PRON- PRP 39713 2612 2 is be VBZ 39713 2612 3 easy easy JJ 39713 2612 4 now now RB 39713 2612 5 to to TO 39713 2612 6 comprehend comprehend VB 39713 2612 7 what what WP 39713 2612 8 is be VBZ 39713 2612 9 Maxwell Maxwell NNP 39713 2612 10 's 's POS 39713 2612 11 fundamental fundamental JJ 39713 2612 12 idea idea NN 39713 2612 13 . . . 39713 2613 1 To to TO 39713 2613 2 demonstrate demonstrate VB 39713 2613 3 the the DT 39713 2613 4 possibility possibility NN 39713 2613 5 of of IN 39713 2613 6 a a DT 39713 2613 7 mechanical mechanical JJ 39713 2613 8 explanation explanation NN 39713 2613 9 of of IN 39713 2613 10 electricity electricity NN 39713 2613 11 , , , 39713 2613 12 we -PRON- PRP 39713 2613 13 need need VBP 39713 2613 14 not not RB 39713 2613 15 preoccupy preoccupy VB 39713 2613 16 ourselves -PRON- PRP 39713 2613 17 with with IN 39713 2613 18 finding find VBG 39713 2613 19 this this DT 39713 2613 20 explanation explanation NN 39713 2613 21 itself -PRON- PRP 39713 2613 22 ; ; : 39713 2613 23 it -PRON- PRP 39713 2613 24 suffices suffice VBZ 39713 2613 25 us -PRON- PRP 39713 2613 26 to to TO 39713 2613 27 know know VB 39713 2613 28 the the DT 39713 2613 29 expression expression NN 39713 2613 30 of of IN 39713 2613 31 the the DT 39713 2613 32 two two CD 39713 2613 33 functions function NNS 39713 2613 34 _ _ NNP 39713 2613 35 T T NNP 39713 2613 36 _ _ NNP 39713 2613 37 and and CC 39713 2613 38 _ _ NNP 39713 2613 39 U U NNP 39713 2613 40 _ _ NNP 39713 2613 41 , , , 39713 2613 42 which which WDT 39713 2613 43 are be VBP 39713 2613 44 the the DT 39713 2613 45 two two CD 39713 2613 46 parts part NNS 39713 2613 47 of of IN 39713 2613 48 energy energy NN 39713 2613 49 , , , 39713 2613 50 to to TO 39713 2613 51 form form VB 39713 2613 52 with with IN 39713 2613 53 these these DT 39713 2613 54 two two CD 39713 2613 55 functions function NNS 39713 2613 56 the the DT 39713 2613 57 equations equation NNS 39713 2613 58 of of IN 39713 2613 59 Lagrange Lagrange NNP 39713 2613 60 and and CC 39713 2613 61 then then RB 39713 2613 62 to to TO 39713 2613 63 compare compare VB 39713 2613 64 these these DT 39713 2613 65 equations equation NNS 39713 2613 66 with with IN 39713 2613 67 the the DT 39713 2613 68 experimental experimental JJ 39713 2613 69 laws law NNS 39713 2613 70 . . . 39713 2614 1 Among among IN 39713 2614 2 all all PDT 39713 2614 3 these these DT 39713 2614 4 possible possible JJ 39713 2614 5 explanations explanation NNS 39713 2614 6 , , , 39713 2614 7 how how WRB 39713 2614 8 make make VB 39713 2614 9 a a DT 39713 2614 10 choice choice NN 39713 2614 11 for for IN 39713 2614 12 which which WDT 39713 2614 13 the the DT 39713 2614 14 aid aid NN 39713 2614 15 of of IN 39713 2614 16 experiment experiment NN 39713 2614 17 fails fail VBZ 39713 2614 18 us -PRON- PRP 39713 2614 19 ? ? . 39713 2615 1 A a DT 39713 2615 2 day day NN 39713 2615 3 will will MD 39713 2615 4 come come VB 39713 2615 5 perhaps perhaps RB 39713 2615 6 when when WRB 39713 2615 7 physicists physicist NNS 39713 2615 8 will will MD 39713 2615 9 not not RB 39713 2615 10 interest interest VB 39713 2615 11 themselves -PRON- PRP 39713 2615 12 in in IN 39713 2615 13 these these DT 39713 2615 14 questions question NNS 39713 2615 15 , , , 39713 2615 16 inaccessible inaccessible JJ 39713 2615 17 to to IN 39713 2615 18 positive positive JJ 39713 2615 19 methods method NNS 39713 2615 20 , , , 39713 2615 21 and and CC 39713 2615 22 will will MD 39713 2615 23 abandon abandon VB 39713 2615 24 them -PRON- PRP 39713 2615 25 to to IN 39713 2615 26 the the DT 39713 2615 27 metaphysicians metaphysicians NNPS 39713 2615 28 . . . 39713 2616 1 This this DT 39713 2616 2 day day NN 39713 2616 3 has have VBZ 39713 2616 4 not not RB 39713 2616 5 yet yet RB 39713 2616 6 arrived arrive VBN 39713 2616 7 ; ; : 39713 2616 8 man man NN 39713 2616 9 does do VBZ 39713 2616 10 not not RB 39713 2616 11 resign resign VB 39713 2616 12 himself -PRON- PRP 39713 2616 13 so so RB 39713 2616 14 easily easily RB 39713 2616 15 to to TO 39713 2616 16 be be VB 39713 2616 17 forever forever RB 39713 2616 18 ignorant ignorant JJ 39713 2616 19 of of IN 39713 2616 20 the the DT 39713 2616 21 foundation foundation NN 39713 2616 22 of of IN 39713 2616 23 things thing NNS 39713 2616 24 . . . 39713 2617 1 Our -PRON- PRP$ 39713 2617 2 choice choice NN 39713 2617 3 can can MD 39713 2617 4 therefore therefore RB 39713 2617 5 be be VB 39713 2617 6 further further RB 39713 2617 7 guided guide VBN 39713 2617 8 only only RB 39713 2617 9 by by IN 39713 2617 10 considerations consideration NNS 39713 2617 11 where where WRB 39713 2617 12 the the DT 39713 2617 13 part part NN 39713 2617 14 of of IN 39713 2617 15 personal personal JJ 39713 2617 16 appreciation appreciation NN 39713 2617 17 is be VBZ 39713 2617 18 very very RB 39713 2617 19 great great JJ 39713 2617 20 ; ; : 39713 2617 21 there there EX 39713 2617 22 are be VBP 39713 2617 23 , , , 39713 2617 24 however however RB 39713 2617 25 , , , 39713 2617 26 solutions solution NNS 39713 2617 27 that that WDT 39713 2617 28 all all PDT 39713 2617 29 the the DT 39713 2617 30 world world NN 39713 2617 31 will will MD 39713 2617 32 reject reject VB 39713 2617 33 because because IN 39713 2617 34 of of IN 39713 2617 35 their -PRON- PRP$ 39713 2617 36 whimsicality whimsicality NN 39713 2617 37 , , , 39713 2617 38 and and CC 39713 2617 39 others other NNS 39713 2617 40 that that IN 39713 2617 41 all all PDT 39713 2617 42 the the DT 39713 2617 43 world world NN 39713 2617 44 will will MD 39713 2617 45 prefer prefer VB 39713 2617 46 because because IN 39713 2617 47 of of IN 39713 2617 48 their -PRON- PRP$ 39713 2617 49 simplicity simplicity NN 39713 2617 50 . . . 39713 2618 1 In in IN 39713 2618 2 what what WP 39713 2618 3 concerns concern VBZ 39713 2618 4 electricity electricity NN 39713 2618 5 and and CC 39713 2618 6 magnetism magnetism NN 39713 2618 7 , , , 39713 2618 8 Maxwell Maxwell NNP 39713 2618 9 abstains abstain VBZ 39713 2618 10 from from IN 39713 2618 11 making make VBG 39713 2618 12 any any DT 39713 2618 13 choice choice NN 39713 2618 14 . . . 39713 2619 1 It -PRON- PRP 39713 2619 2 is be VBZ 39713 2619 3 not not RB 39713 2619 4 that that IN 39713 2619 5 he -PRON- PRP 39713 2619 6 systematically systematically RB 39713 2619 7 disdains disdain VBZ 39713 2619 8 all all DT 39713 2619 9 that that WDT 39713 2619 10 is be VBZ 39713 2619 11 unattainable unattainable JJ 39713 2619 12 by by IN 39713 2619 13 positive positive JJ 39713 2619 14 methods method NNS 39713 2619 15 ; ; : 39713 2619 16 the the DT 39713 2619 17 time time NN 39713 2619 18 he -PRON- PRP 39713 2619 19 has have VBZ 39713 2619 20 devoted devote VBN 39713 2619 21 to to IN 39713 2619 22 the the DT 39713 2619 23 kinetic kinetic JJ 39713 2619 24 theory theory NN 39713 2619 25 of of IN 39713 2619 26 gases gas NNS 39713 2619 27 sufficiently sufficiently RB 39713 2619 28 proves prove VBZ 39713 2619 29 that that DT 39713 2619 30 . . . 39713 2620 1 I -PRON- PRP 39713 2620 2 will will MD 39713 2620 3 add add VB 39713 2620 4 that that IN 39713 2620 5 if if IN 39713 2620 6 , , , 39713 2620 7 in in IN 39713 2620 8 his -PRON- PRP$ 39713 2620 9 great great JJ 39713 2620 10 work work NN 39713 2620 11 , , , 39713 2620 12 he -PRON- PRP 39713 2620 13 develops develop VBZ 39713 2620 14 no no DT 39713 2620 15 complete complete JJ 39713 2620 16 explanation explanation NN 39713 2620 17 , , , 39713 2620 18 he -PRON- PRP 39713 2620 19 had have VBD 39713 2620 20 previously previously RB 39713 2620 21 attempted attempt VBN 39713 2620 22 to to TO 39713 2620 23 give give VB 39713 2620 24 one one CD 39713 2620 25 in in IN 39713 2620 26 an an DT 39713 2620 27 article article NN 39713 2620 28 in in IN 39713 2620 29 the the DT 39713 2620 30 _ _ NNP 39713 2620 31 Philosophical Philosophical NNP 39713 2620 32 Magazine Magazine NNP 39713 2620 33 _ _ NNP 39713 2620 34 . . . 39713 2621 1 The the DT 39713 2621 2 strangeness strangeness NN 39713 2621 3 and and CC 39713 2621 4 the the DT 39713 2621 5 complexity complexity NN 39713 2621 6 of of IN 39713 2621 7 the the DT 39713 2621 8 hypotheses hypothesis NNS 39713 2621 9 he -PRON- PRP 39713 2621 10 had have VBD 39713 2621 11 been be VBN 39713 2621 12 obliged oblige VBN 39713 2621 13 to to TO 39713 2621 14 make make VB 39713 2621 15 had have VBD 39713 2621 16 led lead VBN 39713 2621 17 him -PRON- PRP 39713 2621 18 afterwards afterwards RB 39713 2621 19 to to TO 39713 2621 20 give give VB 39713 2621 21 this this DT 39713 2621 22 up up RP 39713 2621 23 . . . 39713 2622 1 The the DT 39713 2622 2 same same JJ 39713 2622 3 spirit spirit NN 39713 2622 4 is be VBZ 39713 2622 5 found find VBN 39713 2622 6 throughout throughout IN 39713 2622 7 the the DT 39713 2622 8 whole whole JJ 39713 2622 9 work work NN 39713 2622 10 . . . 39713 2623 1 What what WP 39713 2623 2 is be VBZ 39713 2623 3 essential essential JJ 39713 2623 4 , , , 39713 2623 5 that that DT 39713 2623 6 is be VBZ 39713 2623 7 to to TO 39713 2623 8 say say VB 39713 2623 9 what what WP 39713 2623 10 must must MD 39713 2623 11 remain remain VB 39713 2623 12 common common JJ 39713 2623 13 to to IN 39713 2623 14 all all DT 39713 2623 15 theories theory NNS 39713 2623 16 , , , 39713 2623 17 is be VBZ 39713 2623 18 made make VBN 39713 2623 19 prominent prominent JJ 39713 2623 20 ; ; : 39713 2623 21 all all DT 39713 2623 22 that that WDT 39713 2623 23 would would MD 39713 2623 24 only only RB 39713 2623 25 be be VB 39713 2623 26 suitable suitable JJ 39713 2623 27 to to IN 39713 2623 28 a a DT 39713 2623 29 particular particular JJ 39713 2623 30 theory theory NN 39713 2623 31 is be VBZ 39713 2623 32 nearly nearly RB 39713 2623 33 always always RB 39713 2623 34 passed pass VBN 39713 2623 35 over over RP 39713 2623 36 in in IN 39713 2623 37 silence silence NN 39713 2623 38 . . . 39713 2624 1 Thus thus RB 39713 2624 2 the the DT 39713 2624 3 reader reader NN 39713 2624 4 finds find VBZ 39713 2624 5 himself -PRON- PRP 39713 2624 6 in in IN 39713 2624 7 the the DT 39713 2624 8 presence presence NN 39713 2624 9 of of IN 39713 2624 10 a a DT 39713 2624 11 form form NN 39713 2624 12 almost almost RB 39713 2624 13 devoid devoid JJ 39713 2624 14 of of IN 39713 2624 15 matter matter NN 39713 2624 16 , , , 39713 2624 17 which which WDT 39713 2624 18 he -PRON- PRP 39713 2624 19 is be VBZ 39713 2624 20 at at IN 39713 2624 21 first first RB 39713 2624 22 tempted tempt VBN 39713 2624 23 to to TO 39713 2624 24 take take VB 39713 2624 25 for for IN 39713 2624 26 a a DT 39713 2624 27 fugitive fugitive JJ 39713 2624 28 shadow shadow NN 39713 2624 29 not not RB 39713 2624 30 to to TO 39713 2624 31 be be VB 39713 2624 32 grasped grasp VBN 39713 2624 33 . . . 39713 2625 1 But but CC 39713 2625 2 the the DT 39713 2625 3 efforts effort NNS 39713 2625 4 to to TO 39713 2625 5 which which WDT 39713 2625 6 he -PRON- PRP 39713 2625 7 is be VBZ 39713 2625 8 thus thus RB 39713 2625 9 condemned condemn VBN 39713 2625 10 force force VB 39713 2625 11 him -PRON- PRP 39713 2625 12 to to TO 39713 2625 13 think think VB 39713 2625 14 and and CC 39713 2625 15 he -PRON- PRP 39713 2625 16 ends end VBZ 39713 2625 17 by by IN 39713 2625 18 comprehending comprehend VBG 39713 2625 19 what what WP 39713 2625 20 was be VBD 39713 2625 21 often often RB 39713 2625 22 rather rather RB 39713 2625 23 artificial artificial JJ 39713 2625 24 in in IN 39713 2625 25 the the DT 39713 2625 26 theoretic theoretic JJ 39713 2625 27 constructs construct NNS 39713 2625 28 he -PRON- PRP 39713 2625 29 had have VBD 39713 2625 30 previously previously RB 39713 2625 31 only only RB 39713 2625 32 wondered wonder VBN 39713 2625 33 at at IN 39713 2625 34 . . . 39713 2626 1 CHAPTER chapter NN 39713 2626 2 XIII xiii NN 39713 2626 3 ELECTRODYNAMICS electrodynamic NNS 39713 2626 4 The the DT 39713 2626 5 history history NN 39713 2626 6 of of IN 39713 2626 7 electrodynamics electrodynamic NNS 39713 2626 8 is be VBZ 39713 2626 9 particularly particularly RB 39713 2626 10 instructive instructive JJ 39713 2626 11 from from IN 39713 2626 12 our -PRON- PRP$ 39713 2626 13 point point NN 39713 2626 14 of of IN 39713 2626 15 view view NN 39713 2626 16 . . . 39713 2627 1 Ampère Ampère NNP 39713 2627 2 entitled entitle VBD 39713 2627 3 his -PRON- PRP$ 39713 2627 4 immortal immortal JJ 39713 2627 5 work work NN 39713 2627 6 , , , 39713 2627 7 ' ' '' 39713 2627 8 Théorie Théorie NNP 39713 2627 9 des des FW 39713 2627 10 phénomènes phénomène NNS 39713 2627 11 électrodynamiques électrodynamique NNS 39713 2627 12 , , , 39713 2627 13 _ _ NNP 39713 2627 14 uniquement uniquement NN 39713 2627 15 _ _ NNP 39713 2627 16 fondée fondée NN 39713 2627 17 sur sur FW 39713 2627 18 l'expérience l'expérience NN 39713 2627 19 . . . 39713 2627 20 ' ' '' 39713 2628 1 He -PRON- PRP 39713 2628 2 therefore therefore RB 39713 2628 3 imagined imagine VBD 39713 2628 4 that that IN 39713 2628 5 he -PRON- PRP 39713 2628 6 had have VBD 39713 2628 7 made make VBN 39713 2628 8 _ _ NNP 39713 2628 9 no no DT 39713 2628 10 _ _ NNP 39713 2628 11 hypothesis hypothesis NN 39713 2628 12 , , , 39713 2628 13 but but CC 39713 2628 14 he -PRON- PRP 39713 2628 15 had have VBD 39713 2628 16 made make VBN 39713 2628 17 them -PRON- PRP 39713 2628 18 , , , 39713 2628 19 as as IN 39713 2628 20 we -PRON- PRP 39713 2628 21 shall shall MD 39713 2628 22 soon soon RB 39713 2628 23 see see VB 39713 2628 24 ; ; : 39713 2628 25 only only RB 39713 2628 26 he -PRON- PRP 39713 2628 27 made make VBD 39713 2628 28 them -PRON- PRP 39713 2628 29 without without IN 39713 2628 30 being be VBG 39713 2628 31 conscious conscious JJ 39713 2628 32 of of IN 39713 2628 33 it -PRON- PRP 39713 2628 34 . . . 39713 2629 1 His -PRON- PRP$ 39713 2629 2 successors successor NNS 39713 2629 3 , , , 39713 2629 4 on on IN 39713 2629 5 the the DT 39713 2629 6 other other JJ 39713 2629 7 hand hand NN 39713 2629 8 , , , 39713 2629 9 perceived perceive VBD 39713 2629 10 them -PRON- PRP 39713 2629 11 , , , 39713 2629 12 since since IN 39713 2629 13 their -PRON- PRP$ 39713 2629 14 attention attention NN 39713 2629 15 was be VBD 39713 2629 16 attracted attract VBN 39713 2629 17 by by IN 39713 2629 18 the the DT 39713 2629 19 weak weak JJ 39713 2629 20 points point NNS 39713 2629 21 in in IN 39713 2629 22 Ampère Ampère NNP 39713 2629 23 's 's POS 39713 2629 24 solution solution NN 39713 2629 25 . . . 39713 2630 1 They -PRON- PRP 39713 2630 2 made make VBD 39713 2630 3 new new JJ 39713 2630 4 hypotheses hypothesis NNS 39713 2630 5 , , , 39713 2630 6 of of IN 39713 2630 7 which which WDT 39713 2630 8 this this DT 39713 2630 9 time time NN 39713 2630 10 they -PRON- PRP 39713 2630 11 were be VBD 39713 2630 12 fully fully RB 39713 2630 13 conscious conscious JJ 39713 2630 14 ; ; : 39713 2630 15 but but CC 39713 2630 16 how how WRB 39713 2630 17 many many JJ 39713 2630 18 times time NNS 39713 2630 19 it -PRON- PRP 39713 2630 20 was be VBD 39713 2630 21 necessary necessary JJ 39713 2630 22 to to TO 39713 2630 23 change change VB 39713 2630 24 them -PRON- PRP 39713 2630 25 before before IN 39713 2630 26 arriving arrive VBG 39713 2630 27 at at IN 39713 2630 28 the the DT 39713 2630 29 classic classic JJ 39713 2630 30 system system NN 39713 2630 31 of of IN 39713 2630 32 to to IN 39713 2630 33 - - HYPH 39713 2630 34 day day NN 39713 2630 35 which which WDT 39713 2630 36 is be VBZ 39713 2630 37 perhaps perhaps RB 39713 2630 38 not not RB 39713 2630 39 yet yet RB 39713 2630 40 final final JJ 39713 2630 41 ; ; : 39713 2630 42 this this DT 39713 2630 43 we -PRON- PRP 39713 2630 44 shall shall MD 39713 2630 45 see see VB 39713 2630 46 . . . 39713 2631 1 I. I. NNP 39713 2631 2 AMPERE AMPERE NNP 39713 2631 3 'S 's POS 39713 2631 4 THEORY.--When theory.--when NN 39713 2631 5 Ampère Ampère NNP 39713 2631 6 studied study VBD 39713 2631 7 experimentally experimentally RB 39713 2631 8 the the DT 39713 2631 9 mutual mutual JJ 39713 2631 10 actions action NNS 39713 2631 11 of of IN 39713 2631 12 currents current NNS 39713 2631 13 , , , 39713 2631 14 he -PRON- PRP 39713 2631 15 operated operate VBD 39713 2631 16 and and CC 39713 2631 17 he -PRON- PRP 39713 2631 18 only only RB 39713 2631 19 could could MD 39713 2631 20 operate operate VB 39713 2631 21 with with IN 39713 2631 22 closed closed JJ 39713 2631 23 currents current NNS 39713 2631 24 . . . 39713 2632 1 It -PRON- PRP 39713 2632 2 was be VBD 39713 2632 3 not not RB 39713 2632 4 that that IN 39713 2632 5 he -PRON- PRP 39713 2632 6 denied deny VBD 39713 2632 7 the the DT 39713 2632 8 possibility possibility NN 39713 2632 9 of of IN 39713 2632 10 open open JJ 39713 2632 11 currents current NNS 39713 2632 12 . . . 39713 2633 1 If if IN 39713 2633 2 two two CD 39713 2633 3 conductors conductor NNS 39713 2633 4 are be VBP 39713 2633 5 charged charge VBN 39713 2633 6 with with IN 39713 2633 7 positive positive JJ 39713 2633 8 and and CC 39713 2633 9 negative negative JJ 39713 2633 10 electricity electricity NN 39713 2633 11 and and CC 39713 2633 12 brought bring VBN 39713 2633 13 into into IN 39713 2633 14 communication communication NN 39713 2633 15 by by IN 39713 2633 16 a a DT 39713 2633 17 wire wire NN 39713 2633 18 , , , 39713 2633 19 a a DT 39713 2633 20 current current NN 39713 2633 21 is be VBZ 39713 2633 22 established establish VBN 39713 2633 23 going go VBG 39713 2633 24 from from IN 39713 2633 25 one one CD 39713 2633 26 to to IN 39713 2633 27 the the DT 39713 2633 28 other other JJ 39713 2633 29 , , , 39713 2633 30 which which WDT 39713 2633 31 continues continue VBZ 39713 2633 32 until until IN 39713 2633 33 the the DT 39713 2633 34 two two CD 39713 2633 35 potentials potential NNS 39713 2633 36 are be VBP 39713 2633 37 equal equal JJ 39713 2633 38 . . . 39713 2634 1 According accord VBG 39713 2634 2 to to IN 39713 2634 3 the the DT 39713 2634 4 ideas idea NNS 39713 2634 5 of of IN 39713 2634 6 Ampère Ampère NNP 39713 2634 7 's 's POS 39713 2634 8 time time NN 39713 2634 9 this this DT 39713 2634 10 was be VBD 39713 2634 11 an an DT 39713 2634 12 open open JJ 39713 2634 13 current current NN 39713 2634 14 ; ; : 39713 2634 15 the the DT 39713 2634 16 current current NN 39713 2634 17 was be VBD 39713 2634 18 known know VBN 39713 2634 19 to to TO 39713 2634 20 go go VB 39713 2634 21 from from IN 39713 2634 22 the the DT 39713 2634 23 first first JJ 39713 2634 24 conductor conductor NN 39713 2634 25 to to IN 39713 2634 26 the the DT 39713 2634 27 second second JJ 39713 2634 28 , , , 39713 2634 29 it -PRON- PRP 39713 2634 30 was be VBD 39713 2634 31 not not RB 39713 2634 32 seen see VBN 39713 2634 33 to to TO 39713 2634 34 return return VB 39713 2634 35 from from IN 39713 2634 36 the the DT 39713 2634 37 second second JJ 39713 2634 38 to to IN 39713 2634 39 the the DT 39713 2634 40 first first JJ 39713 2634 41 . . . 39713 2635 1 So so RB 39713 2635 2 Ampère Ampère NNP 39713 2635 3 considered consider VBD 39713 2635 4 as as IN 39713 2635 5 open open JJ 39713 2635 6 currents current NNS 39713 2635 7 of of IN 39713 2635 8 this this DT 39713 2635 9 nature nature NN 39713 2635 10 , , , 39713 2635 11 for for IN 39713 2635 12 example example NN 39713 2635 13 , , , 39713 2635 14 the the DT 39713 2635 15 currents current NNS 39713 2635 16 of of IN 39713 2635 17 discharge discharge NN 39713 2635 18 of of IN 39713 2635 19 condensers condenser NNS 39713 2635 20 ; ; : 39713 2635 21 but but CC 39713 2635 22 he -PRON- PRP 39713 2635 23 could could MD 39713 2635 24 not not RB 39713 2635 25 make make VB 39713 2635 26 them -PRON- PRP 39713 2635 27 the the DT 39713 2635 28 objects object NNS 39713 2635 29 of of IN 39713 2635 30 his -PRON- PRP$ 39713 2635 31 experiments experiment NNS 39713 2635 32 because because IN 39713 2635 33 their -PRON- PRP$ 39713 2635 34 duration duration NN 39713 2635 35 is be VBZ 39713 2635 36 too too RB 39713 2635 37 short short JJ 39713 2635 38 . . . 39713 2636 1 Another another DT 39713 2636 2 sort sort NN 39713 2636 3 of of IN 39713 2636 4 open open JJ 39713 2636 5 current current NN 39713 2636 6 may may MD 39713 2636 7 also also RB 39713 2636 8 be be VB 39713 2636 9 imagined imagine VBN 39713 2636 10 . . . 39713 2637 1 I -PRON- PRP 39713 2637 2 suppose suppose VBP 39713 2637 3 two two CD 39713 2637 4 conductors conductor NNS 39713 2637 5 , , , 39713 2637 6 _ _ NNP 39713 2637 7 A A NNP 39713 2637 8 _ _ NNP 39713 2637 9 and and CC 39713 2637 10 _ _ NNP 39713 2637 11 B B NNP 39713 2637 12 _ _ NNP 39713 2637 13 , , , 39713 2637 14 connected connect VBN 39713 2637 15 by by IN 39713 2637 16 a a DT 39713 2637 17 wire wire NN 39713 2637 18 _ _ NNP 39713 2637 19 AMB AMB NNP 39713 2637 20 _ _ NNP 39713 2637 21 . . . 39713 2638 1 Small small JJ 39713 2638 2 conducting conducting NN 39713 2638 3 masses masse NNS 39713 2638 4 in in IN 39713 2638 5 motion motion NN 39713 2638 6 first first RB 39713 2638 7 come come VB 39713 2638 8 in in IN 39713 2638 9 contact contact NN 39713 2638 10 with with IN 39713 2638 11 the the DT 39713 2638 12 conductor conductor NN 39713 2638 13 _ _ NNP 39713 2638 14 B B NNP 39713 2638 15 _ _ NNP 39713 2638 16 , , , 39713 2638 17 take take VB 39713 2638 18 from from IN 39713 2638 19 it -PRON- PRP 39713 2638 20 an an DT 39713 2638 21 electric electric JJ 39713 2638 22 charge charge NN 39713 2638 23 , , , 39713 2638 24 leave leave VB 39713 2638 25 contact contact NN 39713 2638 26 with with IN 39713 2638 27 _ _ NNP 39713 2638 28 B B NNP 39713 2638 29 _ _ NNP 39713 2638 30 and and CC 39713 2638 31 move move VB 39713 2638 32 along along IN 39713 2638 33 the the DT 39713 2638 34 path path NN 39713 2638 35 _ _ NNP 39713 2638 36 BNA BNA NNP 39713 2638 37 _ _ NNP 39713 2638 38 , , , 39713 2638 39 and and CC 39713 2638 40 , , , 39713 2638 41 transporting transport VBG 39713 2638 42 with with IN 39713 2638 43 them -PRON- PRP 39713 2638 44 their -PRON- PRP$ 39713 2638 45 charge charge NN 39713 2638 46 , , , 39713 2638 47 come come VB 39713 2638 48 into into IN 39713 2638 49 contact contact NN 39713 2638 50 with with IN 39713 2638 51 _ _ NNP 39713 2638 52 A A NNP 39713 2638 53 _ _ NNP 39713 2638 54 and and CC 39713 2638 55 give give VB 39713 2638 56 to to IN 39713 2638 57 it -PRON- PRP 39713 2638 58 their -PRON- PRP$ 39713 2638 59 charge charge NN 39713 2638 60 , , , 39713 2638 61 which which WDT 39713 2638 62 returns return VBZ 39713 2638 63 then then RB 39713 2638 64 to to IN 39713 2638 65 _ _ NNP 39713 2638 66 B B NNP 39713 2638 67 _ _ NNP 39713 2638 68 along along IN 39713 2638 69 the the DT 39713 2638 70 wire wire NN 39713 2638 71 _ _ NNP 39713 2638 72 AMB AMB NNP 39713 2638 73 _ _ NNP 39713 2638 74 . . . 39713 2639 1 Now now RB 39713 2639 2 there there RB 39713 2639 3 we -PRON- PRP 39713 2639 4 have have VBP 39713 2639 5 in in IN 39713 2639 6 a a DT 39713 2639 7 sense sense NN 39713 2639 8 a a DT 39713 2639 9 closed close VBN 39713 2639 10 circuit circuit NN 39713 2639 11 , , , 39713 2639 12 since since IN 39713 2639 13 the the DT 39713 2639 14 electricity electricity NN 39713 2639 15 describes describe VBZ 39713 2639 16 the the DT 39713 2639 17 closed close VBN 39713 2639 18 circuit circuit NN 39713 2639 19 _ _ NNP 39713 2639 20 BNAMB BNAMB NNP 39713 2639 21 _ _ NNP 39713 2639 22 ; ; : 39713 2639 23 but but CC 39713 2639 24 the the DT 39713 2639 25 two two CD 39713 2639 26 parts part NNS 39713 2639 27 of of IN 39713 2639 28 this this DT 39713 2639 29 current current NN 39713 2639 30 are be VBP 39713 2639 31 very very RB 39713 2639 32 different different JJ 39713 2639 33 . . . 39713 2640 1 In in IN 39713 2640 2 the the DT 39713 2640 3 wire wire NN 39713 2640 4 _ _ NNP 39713 2640 5 AMB AMB NNP 39713 2640 6 _ _ NNP 39713 2640 7 , , , 39713 2640 8 the the DT 39713 2640 9 electricity electricity NN 39713 2640 10 is be VBZ 39713 2640 11 displaced displace VBN 39713 2640 12 through through IN 39713 2640 13 a a DT 39713 2640 14 fixed fix VBN 39713 2640 15 conductor conductor NN 39713 2640 16 , , , 39713 2640 17 like like IN 39713 2640 18 a a DT 39713 2640 19 voltaic voltaic JJ 39713 2640 20 current current NN 39713 2640 21 , , , 39713 2640 22 overcoming overcome VBG 39713 2640 23 an an DT 39713 2640 24 ohmic ohmic JJ 39713 2640 25 resistance resistance NN 39713 2640 26 and and CC 39713 2640 27 developing develop VBG 39713 2640 28 heat heat NN 39713 2640 29 ; ; : 39713 2640 30 we -PRON- PRP 39713 2640 31 say say VBP 39713 2640 32 that that IN 39713 2640 33 it -PRON- PRP 39713 2640 34 is be VBZ 39713 2640 35 displaced displace VBN 39713 2640 36 by by IN 39713 2640 37 conduction conduction NN 39713 2640 38 . . . 39713 2641 1 In in IN 39713 2641 2 the the DT 39713 2641 3 part part NN 39713 2641 4 _ _ NNP 39713 2641 5 BNA BNA NNP 39713 2641 6 _ _ NNP 39713 2641 7 , , , 39713 2641 8 the the DT 39713 2641 9 electricity electricity NN 39713 2641 10 is be VBZ 39713 2641 11 carried carry VBN 39713 2641 12 by by IN 39713 2641 13 a a DT 39713 2641 14 moving move VBG 39713 2641 15 conductor conductor NN 39713 2641 16 ; ; : 39713 2641 17 it -PRON- PRP 39713 2641 18 is be VBZ 39713 2641 19 said say VBN 39713 2641 20 to to TO 39713 2641 21 be be VB 39713 2641 22 displaced displace VBN 39713 2641 23 by by IN 39713 2641 24 convection convection NN 39713 2641 25 . . . 39713 2642 1 If if IN 39713 2642 2 then then RB 39713 2642 3 the the DT 39713 2642 4 current current NN 39713 2642 5 of of IN 39713 2642 6 convection convection NN 39713 2642 7 is be VBZ 39713 2642 8 considered consider VBN 39713 2642 9 as as RB 39713 2642 10 altogether altogether RB 39713 2642 11 analogous analogous JJ 39713 2642 12 to to IN 39713 2642 13 the the DT 39713 2642 14 current current NN 39713 2642 15 of of IN 39713 2642 16 conduction conduction NN 39713 2642 17 , , , 39713 2642 18 the the DT 39713 2642 19 circuit circuit NN 39713 2642 20 _ _ NNP 39713 2642 21 BNAMB BNAMB NNP 39713 2642 22 _ _ NNP 39713 2642 23 is be VBZ 39713 2642 24 closed close VBN 39713 2642 25 ; ; : 39713 2642 26 if if IN 39713 2642 27 , , , 39713 2642 28 on on IN 39713 2642 29 the the DT 39713 2642 30 contrary contrary NN 39713 2642 31 , , , 39713 2642 32 the the DT 39713 2642 33 convection convection NN 39713 2642 34 current current NN 39713 2642 35 is be VBZ 39713 2642 36 not not RB 39713 2642 37 ' ' `` 39713 2642 38 a a DT 39713 2642 39 true true JJ 39713 2642 40 current current NN 39713 2642 41 ' ' '' 39713 2642 42 and and CC 39713 2642 43 , , , 39713 2642 44 for for IN 39713 2642 45 example example NN 39713 2642 46 , , , 39713 2642 47 does do VBZ 39713 2642 48 not not RB 39713 2642 49 act act VB 39713 2642 50 on on IN 39713 2642 51 the the DT 39713 2642 52 magnet magnet NN 39713 2642 53 , , , 39713 2642 54 there there EX 39713 2642 55 remains remain VBZ 39713 2642 56 only only RB 39713 2642 57 the the DT 39713 2642 58 conduction conduction NN 39713 2642 59 current current JJ 39713 2642 60 _ _ NNP 39713 2642 61 AMB AMB NNP 39713 2642 62 _ _ NNP 39713 2642 63 , , , 39713 2642 64 which which WDT 39713 2642 65 is be VBZ 39713 2642 66 open open JJ 39713 2642 67 . . . 39713 2643 1 For for IN 39713 2643 2 example example NN 39713 2643 3 , , , 39713 2643 4 if if IN 39713 2643 5 we -PRON- PRP 39713 2643 6 connect connect VBP 39713 2643 7 by by IN 39713 2643 8 a a DT 39713 2643 9 wire wire NN 39713 2643 10 the the DT 39713 2643 11 two two CD 39713 2643 12 poles pole NNS 39713 2643 13 of of IN 39713 2643 14 a a DT 39713 2643 15 Holtz Holtz NNP 39713 2643 16 machine machine NN 39713 2643 17 , , , 39713 2643 18 the the DT 39713 2643 19 charged charge VBN 39713 2643 20 rotating rotate VBG 39713 2643 21 disc disc NN 39713 2643 22 transfers transfer NNS 39713 2643 23 the the DT 39713 2643 24 electricity electricity NN 39713 2643 25 by by IN 39713 2643 26 convection convection NN 39713 2643 27 from from IN 39713 2643 28 one one CD 39713 2643 29 pole pole NN 39713 2643 30 to to IN 39713 2643 31 the the DT 39713 2643 32 other other JJ 39713 2643 33 , , , 39713 2643 34 and and CC 39713 2643 35 it -PRON- PRP 39713 2643 36 returns return VBZ 39713 2643 37 to to IN 39713 2643 38 the the DT 39713 2643 39 first first JJ 39713 2643 40 pole pole NN 39713 2643 41 by by IN 39713 2643 42 conduction conduction NN 39713 2643 43 through through IN 39713 2643 44 the the DT 39713 2643 45 wire wire NN 39713 2643 46 . . . 39713 2644 1 But but CC 39713 2644 2 currents current NNS 39713 2644 3 of of IN 39713 2644 4 this this DT 39713 2644 5 sort sort NN 39713 2644 6 are be VBP 39713 2644 7 very very RB 39713 2644 8 difficult difficult JJ 39713 2644 9 to to TO 39713 2644 10 produce produce VB 39713 2644 11 with with IN 39713 2644 12 appreciable appreciable JJ 39713 2644 13 intensity intensity NN 39713 2644 14 . . . 39713 2645 1 With with IN 39713 2645 2 the the DT 39713 2645 3 means mean NNS 39713 2645 4 at at IN 39713 2645 5 Ampère Ampère NNP 39713 2645 6 's 's POS 39713 2645 7 disposal disposal NN 39713 2645 8 , , , 39713 2645 9 we -PRON- PRP 39713 2645 10 may may MD 39713 2645 11 say say VB 39713 2645 12 that that IN 39713 2645 13 this this DT 39713 2645 14 was be VBD 39713 2645 15 impossible impossible JJ 39713 2645 16 . . . 39713 2646 1 To to TO 39713 2646 2 sum sum VB 39713 2646 3 up up RP 39713 2646 4 , , , 39713 2646 5 Ampère Ampère NNP 39713 2646 6 could could MD 39713 2646 7 conceive conceive VB 39713 2646 8 of of IN 39713 2646 9 the the DT 39713 2646 10 existence existence NN 39713 2646 11 of of IN 39713 2646 12 two two CD 39713 2646 13 kinds kind NNS 39713 2646 14 of of IN 39713 2646 15 open open JJ 39713 2646 16 currents current NNS 39713 2646 17 , , , 39713 2646 18 but but CC 39713 2646 19 he -PRON- PRP 39713 2646 20 could could MD 39713 2646 21 operate operate VB 39713 2646 22 on on IN 39713 2646 23 neither neither DT 39713 2646 24 because because IN 39713 2646 25 they -PRON- PRP 39713 2646 26 were be VBD 39713 2646 27 not not RB 39713 2646 28 strong strong JJ 39713 2646 29 enough enough RB 39713 2646 30 or or CC 39713 2646 31 because because IN 39713 2646 32 their -PRON- PRP$ 39713 2646 33 duration duration NN 39713 2646 34 was be VBD 39713 2646 35 too too RB 39713 2646 36 short short JJ 39713 2646 37 . . . 39713 2647 1 Experiment experiment NN 39713 2647 2 therefore therefore RB 39713 2647 3 could could MD 39713 2647 4 only only RB 39713 2647 5 show show VB 39713 2647 6 him -PRON- PRP 39713 2647 7 the the DT 39713 2647 8 action action NN 39713 2647 9 of of IN 39713 2647 10 a a DT 39713 2647 11 closed closed JJ 39713 2647 12 current current NN 39713 2647 13 on on IN 39713 2647 14 a a DT 39713 2647 15 closed closed JJ 39713 2647 16 current current NN 39713 2647 17 , , , 39713 2647 18 or or CC 39713 2647 19 , , , 39713 2647 20 more more RBR 39713 2647 21 accurately accurately RB 39713 2647 22 , , , 39713 2647 23 the the DT 39713 2647 24 action action NN 39713 2647 25 of of IN 39713 2647 26 a a DT 39713 2647 27 closed closed JJ 39713 2647 28 current current NN 39713 2647 29 on on IN 39713 2647 30 a a DT 39713 2647 31 portion portion NN 39713 2647 32 of of IN 39713 2647 33 a a DT 39713 2647 34 current current NN 39713 2647 35 , , , 39713 2647 36 because because IN 39713 2647 37 a a DT 39713 2647 38 current current NN 39713 2647 39 can can MD 39713 2647 40 be be VB 39713 2647 41 made make VBN 39713 2647 42 to to TO 39713 2647 43 describe describe VB 39713 2647 44 a a DT 39713 2647 45 closed close VBN 39713 2647 46 circuit circuit NN 39713 2647 47 composed compose VBN 39713 2647 48 of of IN 39713 2647 49 a a DT 39713 2647 50 moving move VBG 39713 2647 51 part part NN 39713 2647 52 and and CC 39713 2647 53 a a DT 39713 2647 54 fixed fix VBN 39713 2647 55 part part NN 39713 2647 56 . . . 39713 2648 1 It -PRON- PRP 39713 2648 2 is be VBZ 39713 2648 3 possible possible JJ 39713 2648 4 then then RB 39713 2648 5 to to TO 39713 2648 6 study study VB 39713 2648 7 the the DT 39713 2648 8 displacements displacement NNS 39713 2648 9 of of IN 39713 2648 10 the the DT 39713 2648 11 moving move VBG 39713 2648 12 part part NN 39713 2648 13 under under IN 39713 2648 14 the the DT 39713 2648 15 action action NN 39713 2648 16 of of IN 39713 2648 17 another another DT 39713 2648 18 closed close VBN 39713 2648 19 current current NN 39713 2648 20 . . . 39713 2649 1 On on IN 39713 2649 2 the the DT 39713 2649 3 other other JJ 39713 2649 4 hand hand NN 39713 2649 5 , , , 39713 2649 6 Ampère Ampère NNP 39713 2649 7 had have VBD 39713 2649 8 no no DT 39713 2649 9 means means NN 39713 2649 10 of of IN 39713 2649 11 studying study VBG 39713 2649 12 the the DT 39713 2649 13 action action NN 39713 2649 14 of of IN 39713 2649 15 an an DT 39713 2649 16 open open JJ 39713 2649 17 current current NN 39713 2649 18 , , , 39713 2649 19 either either CC 39713 2649 20 on on IN 39713 2649 21 a a DT 39713 2649 22 closed closed JJ 39713 2649 23 current current NN 39713 2649 24 or or CC 39713 2649 25 another another DT 39713 2649 26 open open JJ 39713 2649 27 current current NN 39713 2649 28 . . . 39713 2650 1 1 1 LS 39713 2650 2 . . . 39713 2651 1 _ _ NNP 39713 2651 2 The the DT 39713 2651 3 Case Case NNP 39713 2651 4 of of IN 39713 2651 5 Closed close VBN 39713 2651 6 Currents._--In currents._--in NN 39713 2651 7 the the DT 39713 2651 8 case case NN 39713 2651 9 of of IN 39713 2651 10 the the DT 39713 2651 11 mutual mutual JJ 39713 2651 12 action action NN 39713 2651 13 of of IN 39713 2651 14 two two CD 39713 2651 15 closed closed JJ 39713 2651 16 currents current NNS 39713 2651 17 , , , 39713 2651 18 experiment experiment NN 39713 2651 19 revealed reveal VBD 39713 2651 20 to to IN 39713 2651 21 Ampère Ampère NNP 39713 2651 22 remarkably remarkably RB 39713 2651 23 simple simple JJ 39713 2651 24 laws law NNS 39713 2651 25 . . . 39713 2652 1 I -PRON- PRP 39713 2652 2 recall recall VBP 39713 2652 3 rapidly rapidly RB 39713 2652 4 here here RB 39713 2652 5 those those DT 39713 2652 6 which which WDT 39713 2652 7 will will MD 39713 2652 8 be be VB 39713 2652 9 useful useful JJ 39713 2652 10 to to IN 39713 2652 11 us -PRON- PRP 39713 2652 12 in in IN 39713 2652 13 the the DT 39713 2652 14 sequel sequel NN 39713 2652 15 : : : 39713 2652 16 1º 1º LS 39713 2652 17 _ _ XX 39713 2652 18 If if IN 39713 2652 19 the the DT 39713 2652 20 intensity intensity NN 39713 2652 21 of of IN 39713 2652 22 the the DT 39713 2652 23 currents current NNS 39713 2652 24 is be VBZ 39713 2652 25 kept keep VBN 39713 2652 26 constant constant JJ 39713 2652 27 _ _ NNP 39713 2652 28 , , , 39713 2652 29 and and CC 39713 2652 30 if if IN 39713 2652 31 the the DT 39713 2652 32 two two CD 39713 2652 33 circuits circuit NNS 39713 2652 34 , , , 39713 2652 35 after after IN 39713 2652 36 having have VBG 39713 2652 37 undergone undergo VBN 39713 2652 38 any any DT 39713 2652 39 deformations deformation NNS 39713 2652 40 and and CC 39713 2652 41 displacements displacement NNS 39713 2652 42 whatsoever whatsoever RB 39713 2652 43 , , , 39713 2652 44 return return VBP 39713 2652 45 finally finally RB 39713 2652 46 to to IN 39713 2652 47 their -PRON- PRP$ 39713 2652 48 initial initial JJ 39713 2652 49 positions position NNS 39713 2652 50 , , , 39713 2652 51 the the DT 39713 2652 52 total total JJ 39713 2652 53 work work NN 39713 2652 54 of of IN 39713 2652 55 the the DT 39713 2652 56 electrodynamic electrodynamic JJ 39713 2652 57 actions action NNS 39713 2652 58 will will MD 39713 2652 59 be be VB 39713 2652 60 null null JJ 39713 2652 61 . . . 39713 2653 1 In in IN 39713 2653 2 other other JJ 39713 2653 3 words word NNS 39713 2653 4 , , , 39713 2653 5 there there EX 39713 2653 6 is be VBZ 39713 2653 7 an an DT 39713 2653 8 _ _ NNP 39713 2653 9 electrodynamic electrodynamic JJ 39713 2653 10 potential potential NN 39713 2653 11 _ _ NNP 39713 2653 12 of of IN 39713 2653 13 the the DT 39713 2653 14 two two CD 39713 2653 15 circuits circuit NNS 39713 2653 16 , , , 39713 2653 17 proportional proportional JJ 39713 2653 18 to to IN 39713 2653 19 the the DT 39713 2653 20 product product NN 39713 2653 21 of of IN 39713 2653 22 the the DT 39713 2653 23 intensities intensity NNS 39713 2653 24 , , , 39713 2653 25 and and CC 39713 2653 26 depending depend VBG 39713 2653 27 on on IN 39713 2653 28 the the DT 39713 2653 29 form form NN 39713 2653 30 and and CC 39713 2653 31 relative relative JJ 39713 2653 32 position position NN 39713 2653 33 of of IN 39713 2653 34 the the DT 39713 2653 35 circuits circuit NNS 39713 2653 36 ; ; : 39713 2653 37 the the DT 39713 2653 38 work work NN 39713 2653 39 of of IN 39713 2653 40 the the DT 39713 2653 41 electrodynamic electrodynamic JJ 39713 2653 42 actions action NNS 39713 2653 43 is be VBZ 39713 2653 44 equal equal JJ 39713 2653 45 to to IN 39713 2653 46 the the DT 39713 2653 47 variation variation NN 39713 2653 48 of of IN 39713 2653 49 this this DT 39713 2653 50 potential potential NN 39713 2653 51 . . . 39713 2654 1 2º 2º CD 39713 2654 2 The the DT 39713 2654 3 action action NN 39713 2654 4 of of IN 39713 2654 5 a a DT 39713 2654 6 closed closed JJ 39713 2654 7 solenoid solenoid NN 39713 2654 8 is be VBZ 39713 2654 9 null null JJ 39713 2654 10 . . . 39713 2655 1 3º 3º LS 39713 2655 2 The the DT 39713 2655 3 action action NN 39713 2655 4 of of IN 39713 2655 5 a a DT 39713 2655 6 circuit circuit NN 39713 2655 7 _ _ NNP 39713 2655 8 C C NNP 39713 2655 9 _ _ NNP 39713 2655 10 on on IN 39713 2655 11 another another DT 39713 2655 12 voltaic voltaic NNP 39713 2655 13 circuit circuit NN 39713 2655 14 _ _ NNP 39713 2655 15 C C NNP 39713 2655 16 ' ' POS 39713 2655 17 _ _ NNP 39713 2655 18 depends depend VBZ 39713 2655 19 only only RB 39713 2655 20 on on IN 39713 2655 21 the the DT 39713 2655 22 ' ' `` 39713 2655 23 magnetic magnetic JJ 39713 2655 24 field field NN 39713 2655 25 ' ' '' 39713 2655 26 developed develop VBN 39713 2655 27 by by IN 39713 2655 28 this this DT 39713 2655 29 circuit circuit NN 39713 2655 30 . . . 39713 2656 1 At at IN 39713 2656 2 each each DT 39713 2656 3 point point NN 39713 2656 4 in in IN 39713 2656 5 space space NN 39713 2656 6 we -PRON- PRP 39713 2656 7 can can MD 39713 2656 8 in in IN 39713 2656 9 fact fact NN 39713 2656 10 define define VB 39713 2656 11 in in IN 39713 2656 12 magnitude magnitude NN 39713 2656 13 and and CC 39713 2656 14 direction direction NN 39713 2656 15 a a DT 39713 2656 16 certain certain JJ 39713 2656 17 force force NN 39713 2656 18 called call VBN 39713 2656 19 _ _ NNP 39713 2656 20 magnetic magnetic JJ 39713 2656 21 force force NN 39713 2656 22 _ _ NNP 39713 2656 23 , , , 39713 2656 24 which which WDT 39713 2656 25 enjoys enjoy VBZ 39713 2656 26 the the DT 39713 2656 27 following follow VBG 39713 2656 28 properties property NNS 39713 2656 29 : : : 39713 2656 30 ( ( -LRB- 39713 2656 31 _ _ NNP 39713 2656 32 a a DT 39713 2656 33 _ _ NNP 39713 2656 34 ) ) -RRB- 39713 2656 35 The the DT 39713 2656 36 force force NN 39713 2656 37 exercised exercise VBN 39713 2656 38 by by IN 39713 2656 39 _ _ NNP 39713 2656 40 C C NNP 39713 2656 41 _ _ NNP 39713 2656 42 on on IN 39713 2656 43 a a DT 39713 2656 44 magnetic magnetic JJ 39713 2656 45 pole pole NN 39713 2656 46 is be VBZ 39713 2656 47 applied apply VBN 39713 2656 48 to to IN 39713 2656 49 that that DT 39713 2656 50 pole pole NN 39713 2656 51 and and CC 39713 2656 52 is be VBZ 39713 2656 53 equal equal JJ 39713 2656 54 to to IN 39713 2656 55 the the DT 39713 2656 56 magnetic magnetic JJ 39713 2656 57 force force NN 39713 2656 58 multiplied multiply VBN 39713 2656 59 by by IN 39713 2656 60 the the DT 39713 2656 61 magnetic magnetic JJ 39713 2656 62 mass mass NN 39713 2656 63 of of IN 39713 2656 64 that that DT 39713 2656 65 pole pole NN 39713 2656 66 ; ; : 39713 2656 67 ( ( -LRB- 39713 2656 68 _ _ NNP 39713 2656 69 b b NNP 39713 2656 70 _ _ NNP 39713 2656 71 ) ) -RRB- 39713 2656 72 A a DT 39713 2656 73 very very RB 39713 2656 74 short short JJ 39713 2656 75 magnetic magnetic JJ 39713 2656 76 needle needle NN 39713 2656 77 tends tend VBZ 39713 2656 78 to to TO 39713 2656 79 take take VB 39713 2656 80 the the DT 39713 2656 81 direction direction NN 39713 2656 82 of of IN 39713 2656 83 the the DT 39713 2656 84 magnetic magnetic JJ 39713 2656 85 force force NN 39713 2656 86 , , , 39713 2656 87 and and CC 39713 2656 88 the the DT 39713 2656 89 couple couple NN 39713 2656 90 to to TO 39713 2656 91 which which WDT 39713 2656 92 it -PRON- PRP 39713 2656 93 tends tend VBZ 39713 2656 94 to to TO 39713 2656 95 reduce reduce VB 39713 2656 96 is be VBZ 39713 2656 97 proportional proportional JJ 39713 2656 98 to to IN 39713 2656 99 the the DT 39713 2656 100 magnetic magnetic JJ 39713 2656 101 force force NN 39713 2656 102 , , , 39713 2656 103 the the DT 39713 2656 104 magnetic magnetic JJ 39713 2656 105 moment moment NN 39713 2656 106 of of IN 39713 2656 107 the the DT 39713 2656 108 needle needle NN 39713 2656 109 and and CC 39713 2656 110 the the DT 39713 2656 111 sine sine NN 39713 2656 112 of of IN 39713 2656 113 the the DT 39713 2656 114 dip dip NN 39713 2656 115 of of IN 39713 2656 116 the the DT 39713 2656 117 needle needle NN 39713 2656 118 ; ; : 39713 2656 119 ( ( -LRB- 39713 2656 120 _ _ NNP 39713 2656 121 c c NNP 39713 2656 122 _ _ NNP 39713 2656 123 ) ) -RRB- 39713 2656 124 If if IN 39713 2656 125 the the DT 39713 2656 126 circuit circuit NN 39713 2656 127 _ _ NNP 39713 2656 128 C C NNP 39713 2656 129 _ _ NNP 39713 2656 130 is be VBZ 39713 2656 131 displaced displace VBN 39713 2656 132 , , , 39713 2656 133 the the DT 39713 2656 134 work work NN 39713 2656 135 of of IN 39713 2656 136 the the DT 39713 2656 137 electrodynamic electrodynamic JJ 39713 2656 138 action action NN 39713 2656 139 exercised exercise VBN 39713 2656 140 by by IN 39713 2656 141 _ _ NNP 39713 2656 142 C C NNP 39713 2656 143 _ _ NNP 39713 2656 144 on on IN 39713 2656 145 _ _ NNP 39713 2656 146 C C NNP 39713 2656 147 ' ' '' 39713 2656 148 _ _ NNP 39713 2656 149 will will MD 39713 2656 150 be be VB 39713 2656 151 equal equal JJ 39713 2656 152 to to IN 39713 2656 153 the the DT 39713 2656 154 increment increment NN 39713 2656 155 of of IN 39713 2656 156 the the DT 39713 2656 157 ' ' `` 39713 2656 158 flow flow NN 39713 2656 159 of of IN 39713 2656 160 magnetic magnetic JJ 39713 2656 161 force force NN 39713 2656 162 ' ' '' 39713 2656 163 which which WDT 39713 2656 164 passes pass VBZ 39713 2656 165 through through IN 39713 2656 166 the the DT 39713 2656 167 circuit circuit NN 39713 2656 168 . . . 39713 2657 1 2 2 LS 39713 2657 2 . . . 39713 2658 1 _ _ NNP 39713 2658 2 Action Action NNP 39713 2658 3 of of IN 39713 2658 4 a a DT 39713 2658 5 Closed Closed NNP 39713 2658 6 Current Current NNP 39713 2658 7 on on IN 39713 2658 8 a a DT 39713 2658 9 Portion portion NN 39713 2658 10 of of IN 39713 2658 11 Current._--Ampère Current._--Ampère NNP 39713 2658 12 not not RB 39713 2658 13 having have VBG 39713 2658 14 been be VBN 39713 2658 15 able able JJ 39713 2658 16 to to TO 39713 2658 17 produce produce VB 39713 2658 18 an an DT 39713 2658 19 open open JJ 39713 2658 20 current current NN 39713 2658 21 , , , 39713 2658 22 properly properly RB 39713 2658 23 so so RB 39713 2658 24 called call VBN 39713 2658 25 , , , 39713 2658 26 had have VBD 39713 2658 27 only only RB 39713 2658 28 one one CD 39713 2658 29 way way NN 39713 2658 30 of of IN 39713 2658 31 studying study VBG 39713 2658 32 the the DT 39713 2658 33 action action NN 39713 2658 34 of of IN 39713 2658 35 a a DT 39713 2658 36 closed closed JJ 39713 2658 37 current current NN 39713 2658 38 on on IN 39713 2658 39 a a DT 39713 2658 40 portion portion NN 39713 2658 41 of of IN 39713 2658 42 current current NN 39713 2658 43 . . . 39713 2659 1 This this DT 39713 2659 2 was be VBD 39713 2659 3 by by IN 39713 2659 4 operating operate VBG 39713 2659 5 on on IN 39713 2659 6 a a DT 39713 2659 7 circuit circuit NN 39713 2659 8 _ _ NNP 39713 2659 9 C C NNP 39713 2659 10 _ _ NNP 39713 2659 11 composed compose VBD 39713 2659 12 of of IN 39713 2659 13 two two CD 39713 2659 14 parts part NNS 39713 2659 15 , , , 39713 2659 16 the the DT 39713 2659 17 one one CD 39713 2659 18 fixed fix VBN 39713 2659 19 , , , 39713 2659 20 the the DT 39713 2659 21 other other JJ 39713 2659 22 movable movable JJ 39713 2659 23 . . . 39713 2660 1 The the DT 39713 2660 2 movable movable JJ 39713 2660 3 part part NN 39713 2660 4 was be VBD 39713 2660 5 , , , 39713 2660 6 for for IN 39713 2660 7 instance instance NN 39713 2660 8 , , , 39713 2660 9 a a DT 39713 2660 10 movable movable JJ 39713 2660 11 wire wire NN 39713 2660 12 [ [ -LRB- 39713 2660 13 alpha][beta alpha][beta NNP 39713 2660 14 ] ] -RRB- 39713 2660 15 whose whose WP$ 39713 2660 16 extremities extremity NNS 39713 2660 17 [ [ -LRB- 39713 2660 18 alpha alpha NN 39713 2660 19 ] ] -RRB- 39713 2660 20 and and CC 39713 2660 21 [ [ -LRB- 39713 2660 22 beta beta NN 39713 2660 23 ] ] -RRB- 39713 2660 24 could could MD 39713 2660 25 slide slide VB 39713 2660 26 along along IN 39713 2660 27 a a DT 39713 2660 28 fixed fix VBN 39713 2660 29 wire wire NN 39713 2660 30 . . . 39713 2661 1 In in IN 39713 2661 2 one one CD 39713 2661 3 of of IN 39713 2661 4 the the DT 39713 2661 5 positions position NNS 39713 2661 6 of of IN 39713 2661 7 the the DT 39713 2661 8 movable movable JJ 39713 2661 9 wire wire NN 39713 2661 10 , , , 39713 2661 11 the the DT 39713 2661 12 end end NN 39713 2661 13 [ [ -LRB- 39713 2661 14 alpha alpha NN 39713 2661 15 ] ] -RRB- 39713 2661 16 rested rest VBN 39713 2661 17 on on IN 39713 2661 18 the the DT 39713 2661 19 _ _ NNP 39713 2661 20 A A NNP 39713 2661 21 _ _ NNP 39713 2661 22 of of IN 39713 2661 23 the the DT 39713 2661 24 fixed fix VBN 39713 2661 25 wire wire NN 39713 2661 26 and and CC 39713 2661 27 the the DT 39713 2661 28 extremity extremity NN 39713 2661 29 [ [ -LRB- 39713 2661 30 beta beta NN 39713 2661 31 ] ] -RRB- 39713 2661 32 on on IN 39713 2661 33 the the DT 39713 2661 34 point point NN 39713 2661 35 _ _ NNP 39713 2661 36 B B NNP 39713 2661 37 _ _ NNP 39713 2661 38 of of IN 39713 2661 39 the the DT 39713 2661 40 fixed fix VBN 39713 2661 41 wire wire NN 39713 2661 42 . . . 39713 2662 1 The the DT 39713 2662 2 current current NN 39713 2662 3 circulated circulate VBN 39713 2662 4 from from IN 39713 2662 5 [ [ -LRB- 39713 2662 6 alpha alpha NN 39713 2662 7 ] ] -RRB- 39713 2662 8 to to IN 39713 2662 9 [ [ -LRB- 39713 2662 10 beta beta NN 39713 2662 11 ] ] -RRB- 39713 2662 12 , , , 39713 2662 13 that that DT 39713 2662 14 is be VBZ 39713 2662 15 to to TO 39713 2662 16 say say VB 39713 2662 17 , , , 39713 2662 18 from from IN 39713 2662 19 _ _ NNP 39713 2662 20 A A NNP 39713 2662 21 _ _ NNP 39713 2662 22 to to IN 39713 2662 23 _ _ NNP 39713 2662 24 B B NNP 39713 2662 25 _ _ NNP 39713 2662 26 along along IN 39713 2662 27 the the DT 39713 2662 28 movable movable JJ 39713 2662 29 wire wire NN 39713 2662 30 , , , 39713 2662 31 and and CC 39713 2662 32 then then RB 39713 2662 33 it -PRON- PRP 39713 2662 34 returned return VBD 39713 2662 35 from from IN 39713 2662 36 _ _ NNP 39713 2662 37 B B NNP 39713 2662 38 _ _ NNP 39713 2662 39 to to IN 39713 2662 40 _ _ NNP 39713 2662 41 A A NNP 39713 2662 42 _ _ NNP 39713 2662 43 along along IN 39713 2662 44 the the DT 39713 2662 45 fixed fix VBN 39713 2662 46 wire wire NN 39713 2662 47 . . . 39713 2663 1 _ _ NNP 39713 2663 2 This this DT 39713 2663 3 current current NN 39713 2663 4 was be VBD 39713 2663 5 therefore therefore RB 39713 2663 6 closed closed JJ 39713 2663 7 . . . 39713 2663 8 _ _ NNP 39713 2663 9 In in IN 39713 2663 10 a a DT 39713 2663 11 second second JJ 39713 2663 12 position position NN 39713 2663 13 , , , 39713 2663 14 the the DT 39713 2663 15 movable movable JJ 39713 2663 16 wire wire NN 39713 2663 17 having have VBG 39713 2663 18 slipped slip VBN 39713 2663 19 , , , 39713 2663 20 the the DT 39713 2663 21 extremity extremity NN 39713 2663 22 [ [ -LRB- 39713 2663 23 alpha alpha NN 39713 2663 24 ] ] -RRB- 39713 2663 25 rested rest VBN 39713 2663 26 on on IN 39713 2663 27 another another DT 39713 2663 28 point point NN 39713 2663 29 _ _ NNP 39713 2663 30 A A NNP 39713 2663 31 ' ' '' 39713 2663 32 _ _ NNP 39713 2663 33 of of IN 39713 2663 34 the the DT 39713 2663 35 fixed fix VBN 39713 2663 36 wire wire NN 39713 2663 37 , , , 39713 2663 38 and and CC 39713 2663 39 the the DT 39713 2663 40 extremity extremity NN 39713 2663 41 [ [ -LRB- 39713 2663 42 beta beta NN 39713 2663 43 ] ] -RRB- 39713 2663 44 on on IN 39713 2663 45 another another DT 39713 2663 46 point point NN 39713 2663 47 _ _ NNP 39713 2663 48 B B NNP 39713 2663 49 ' ' '' 39713 2663 50 _ _ NNP 39713 2663 51 of of IN 39713 2663 52 the the DT 39713 2663 53 fixed fix VBN 39713 2663 54 wire wire NN 39713 2663 55 . . . 39713 2664 1 The the DT 39713 2664 2 current current NN 39713 2664 3 circulated circulate VBD 39713 2664 4 then then RB 39713 2664 5 from from IN 39713 2664 6 [ [ -LRB- 39713 2664 7 alpha alpha NN 39713 2664 8 ] ] -RRB- 39713 2664 9 to to IN 39713 2664 10 [ [ -LRB- 39713 2664 11 beta beta NN 39713 2664 12 ] ] -RRB- 39713 2664 13 , , , 39713 2664 14 that that DT 39713 2664 15 is be VBZ 39713 2664 16 to to TO 39713 2664 17 say say VB 39713 2664 18 from from IN 39713 2664 19 _ _ NNP 39713 2664 20 A A NNP 39713 2664 21 ' ' '' 39713 2664 22 _ _ NNP 39713 2664 23 to to IN 39713 2664 24 _ _ NNP 39713 2664 25 B B NNP 39713 2664 26 ' ' '' 39713 2664 27 _ _ NNP 39713 2664 28 along along IN 39713 2664 29 the the DT 39713 2664 30 movable movable JJ 39713 2664 31 wire wire NN 39713 2664 32 , , , 39713 2664 33 and and CC 39713 2664 34 it -PRON- PRP 39713 2664 35 afterwards afterwards RB 39713 2664 36 returned return VBD 39713 2664 37 from from IN 39713 2664 38 _ _ NNP 39713 2664 39 B B NNP 39713 2664 40 ' ' '' 39713 2664 41 _ _ NNP 39713 2664 42 to to IN 39713 2664 43 _ _ NNP 39713 2664 44 B B NNP 39713 2664 45 _ _ NNP 39713 2664 46 , , , 39713 2664 47 then then RB 39713 2664 48 from from IN 39713 2664 49 _ _ NNP 39713 2664 50 B B NNP 39713 2664 51 _ _ NNP 39713 2664 52 to to IN 39713 2664 53 _ _ NNP 39713 2664 54 A A NNP 39713 2664 55 _ _ NNP 39713 2664 56 , , , 39713 2664 57 then then RB 39713 2664 58 finally finally RB 39713 2664 59 from from IN 39713 2664 60 _ _ NNP 39713 2664 61 A A NNP 39713 2664 62 _ _ NNP 39713 2664 63 to to IN 39713 2664 64 _ _ NNP 39713 2664 65 A A NNP 39713 2664 66 ' ' '' 39713 2664 67 _ _ NNP 39713 2664 68 , , , 39713 2664 69 always always RB 39713 2664 70 following follow VBG 39713 2664 71 the the DT 39713 2664 72 fixed fix VBN 39713 2664 73 wire wire NN 39713 2664 74 . . . 39713 2665 1 The the DT 39713 2665 2 current current NN 39713 2665 3 was be VBD 39713 2665 4 therefore therefore RB 39713 2665 5 also also RB 39713 2665 6 closed close VBN 39713 2665 7 . . . 39713 2666 1 If if IN 39713 2666 2 a a DT 39713 2666 3 like like UH 39713 2666 4 current current NN 39713 2666 5 is be VBZ 39713 2666 6 subjected subject VBN 39713 2666 7 to to IN 39713 2666 8 the the DT 39713 2666 9 action action NN 39713 2666 10 of of IN 39713 2666 11 a a DT 39713 2666 12 closed closed JJ 39713 2666 13 current current JJ 39713 2666 14 _ _ NNP 39713 2666 15 C C NNP 39713 2666 16 _ _ NNP 39713 2666 17 , , , 39713 2666 18 the the DT 39713 2666 19 movable movable JJ 39713 2666 20 part part NN 39713 2666 21 will will MD 39713 2666 22 be be VB 39713 2666 23 displaced displace VBN 39713 2666 24 just just RB 39713 2666 25 as as IN 39713 2666 26 if if IN 39713 2666 27 it -PRON- PRP 39713 2666 28 were be VBD 39713 2666 29 acted act VBN 39713 2666 30 upon upon IN 39713 2666 31 by by IN 39713 2666 32 a a DT 39713 2666 33 force force NN 39713 2666 34 . . . 39713 2667 1 Ampère Ampère NNP 39713 2667 2 _ _ NNP 39713 2667 3 assumes assume VBZ 39713 2667 4 _ _ NNP 39713 2667 5 that that IN 39713 2667 6 the the DT 39713 2667 7 apparent apparent JJ 39713 2667 8 force force NN 39713 2667 9 to to TO 39713 2667 10 which which WDT 39713 2667 11 this this DT 39713 2667 12 movable movable JJ 39713 2667 13 part part NN 39713 2667 14 _ _ NNP 39713 2667 15 AB AB NNP 39713 2667 16 _ _ NNP 39713 2667 17 seems seem VBZ 39713 2667 18 thus thus RB 39713 2667 19 subjected subject VBN 39713 2667 20 , , , 39713 2667 21 representing represent VBG 39713 2667 22 the the DT 39713 2667 23 action action NN 39713 2667 24 of of IN 39713 2667 25 the the DT 39713 2667 26 _ _ NNP 39713 2667 27 C C NNP 39713 2667 28 _ _ NNP 39713 2667 29 on on IN 39713 2667 30 the the DT 39713 2667 31 portion portion NN 39713 2667 32 [ [ -LRB- 39713 2667 33 alpha][beta alpha][beta NNP 39713 2667 34 ] ] -RRB- 39713 2667 35 of of IN 39713 2667 36 the the DT 39713 2667 37 current current NN 39713 2667 38 , , , 39713 2667 39 is be VBZ 39713 2667 40 the the DT 39713 2667 41 same same JJ 39713 2667 42 as as IN 39713 2667 43 if if IN 39713 2667 44 [ [ -LRB- 39713 2667 45 alpha][beta alpha][beta NNP 39713 2667 46 ] ] -RRB- 39713 2667 47 were be VBD 39713 2667 48 traversed traverse VBN 39713 2667 49 by by IN 39713 2667 50 an an DT 39713 2667 51 open open JJ 39713 2667 52 current current NN 39713 2667 53 , , , 39713 2667 54 stopping stop VBG 39713 2667 55 at at IN 39713 2667 56 [ [ -LRB- 39713 2667 57 alpha alpha NN 39713 2667 58 ] ] -RRB- 39713 2667 59 and and CC 39713 2667 60 [ [ -LRB- 39713 2667 61 beta beta NN 39713 2667 62 ] ] -RRB- 39713 2667 63 , , , 39713 2667 64 in in IN 39713 2667 65 place place NN 39713 2667 66 of of IN 39713 2667 67 being be VBG 39713 2667 68 traversed traverse VBN 39713 2667 69 by by IN 39713 2667 70 a a DT 39713 2667 71 closed closed JJ 39713 2667 72 current current NN 39713 2667 73 which which WDT 39713 2667 74 after after IN 39713 2667 75 arriving arrive VBG 39713 2667 76 at at IN 39713 2667 77 [ [ -LRB- 39713 2667 78 beta beta NN 39713 2667 79 ] ] -RRB- 39713 2667 80 returns return NNS 39713 2667 81 to to IN 39713 2667 82 [ [ -LRB- 39713 2667 83 alpha alpha NN 39713 2667 84 ] ] -RRB- 39713 2667 85 through through IN 39713 2667 86 the the DT 39713 2667 87 fixed fix VBN 39713 2667 88 part part NN 39713 2667 89 of of IN 39713 2667 90 the the DT 39713 2667 91 circuit circuit NN 39713 2667 92 . . . 39713 2668 1 This this DT 39713 2668 2 hypothesis hypothesis NN 39713 2668 3 seems seem VBZ 39713 2668 4 natural natural JJ 39713 2668 5 enough enough RB 39713 2668 6 , , , 39713 2668 7 and and CC 39713 2668 8 Ampère Ampère NNP 39713 2668 9 made make VBD 39713 2668 10 it -PRON- PRP 39713 2668 11 unconsciously unconsciously RB 39713 2668 12 ; ; : 39713 2668 13 nevertheless nevertheless RB 39713 2668 14 _ _ NNP 39713 2668 15 it -PRON- PRP 39713 2668 16 is be VBZ 39713 2668 17 not not RB 39713 2668 18 necessary necessary JJ 39713 2668 19 _ _ NNP 39713 2668 20 , , , 39713 2668 21 since since IN 39713 2668 22 we -PRON- PRP 39713 2668 23 shall shall MD 39713 2668 24 see see VB 39713 2668 25 further further RB 39713 2668 26 on on IN 39713 2668 27 that that DT 39713 2668 28 Helmholtz Helmholtz NNP 39713 2668 29 rejected reject VBD 39713 2668 30 it -PRON- PRP 39713 2668 31 . . . 39713 2669 1 However however RB 39713 2669 2 that that DT 39713 2669 3 may may MD 39713 2669 4 be be VB 39713 2669 5 , , , 39713 2669 6 it -PRON- PRP 39713 2669 7 permitted permit VBD 39713 2669 8 Ampère Ampère NNP 39713 2669 9 , , , 39713 2669 10 though though IN 39713 2669 11 he -PRON- PRP 39713 2669 12 had have VBD 39713 2669 13 never never RB 39713 2669 14 been be VBN 39713 2669 15 able able JJ 39713 2669 16 to to TO 39713 2669 17 produce produce VB 39713 2669 18 an an DT 39713 2669 19 open open JJ 39713 2669 20 current current NN 39713 2669 21 , , , 39713 2669 22 to to TO 39713 2669 23 enunciate enunciate VB 39713 2669 24 the the DT 39713 2669 25 laws law NNS 39713 2669 26 of of IN 39713 2669 27 the the DT 39713 2669 28 action action NN 39713 2669 29 of of IN 39713 2669 30 a a DT 39713 2669 31 closed closed JJ 39713 2669 32 current current NN 39713 2669 33 on on IN 39713 2669 34 an an DT 39713 2669 35 open open JJ 39713 2669 36 current current NN 39713 2669 37 , , , 39713 2669 38 or or CC 39713 2669 39 even even RB 39713 2669 40 on on IN 39713 2669 41 an an DT 39713 2669 42 element element NN 39713 2669 43 of of IN 39713 2669 44 current current NN 39713 2669 45 . . . 39713 2670 1 The the DT 39713 2670 2 laws law NNS 39713 2670 3 are be VBP 39713 2670 4 simple simple JJ 39713 2670 5 : : : 39713 2670 6 1º 1º CD 39713 2670 7 The the DT 39713 2670 8 force force NN 39713 2670 9 which which WDT 39713 2670 10 acts act VBZ 39713 2670 11 on on IN 39713 2670 12 an an DT 39713 2670 13 element element NN 39713 2670 14 of of IN 39713 2670 15 current current NN 39713 2670 16 is be VBZ 39713 2670 17 applied apply VBN 39713 2670 18 to to IN 39713 2670 19 this this DT 39713 2670 20 element element NN 39713 2670 21 ; ; : 39713 2670 22 it -PRON- PRP 39713 2670 23 is be VBZ 39713 2670 24 normal normal JJ 39713 2670 25 to to IN 39713 2670 26 the the DT 39713 2670 27 element element NN 39713 2670 28 and and CC 39713 2670 29 to to IN 39713 2670 30 the the DT 39713 2670 31 magnetic magnetic JJ 39713 2670 32 force force NN 39713 2670 33 , , , 39713 2670 34 and and CC 39713 2670 35 proportional proportional JJ 39713 2670 36 to to IN 39713 2670 37 the the DT 39713 2670 38 component component NN 39713 2670 39 of of IN 39713 2670 40 this this DT 39713 2670 41 magnetic magnetic JJ 39713 2670 42 force force NN 39713 2670 43 which which WDT 39713 2670 44 is be VBZ 39713 2670 45 normal normal JJ 39713 2670 46 to to IN 39713 2670 47 the the DT 39713 2670 48 element element NN 39713 2670 49 . . . 39713 2671 1 2º 2º CD 39713 2671 2 The the DT 39713 2671 3 action action NN 39713 2671 4 of of IN 39713 2671 5 a a DT 39713 2671 6 closed closed JJ 39713 2671 7 solenoid solenoid NN 39713 2671 8 on on IN 39713 2671 9 an an DT 39713 2671 10 element element NN 39713 2671 11 of of IN 39713 2671 12 current current NN 39713 2671 13 is be VBZ 39713 2671 14 null null JJ 39713 2671 15 . . . 39713 2672 1 But but CC 39713 2672 2 the the DT 39713 2672 3 electrodynamic electrodynamic JJ 39713 2672 4 potential potential NN 39713 2672 5 has have VBZ 39713 2672 6 disappeared disappear VBN 39713 2672 7 , , , 39713 2672 8 that that DT 39713 2672 9 is be VBZ 39713 2672 10 to to TO 39713 2672 11 say say VB 39713 2672 12 that that DT 39713 2672 13 , , , 39713 2672 14 when when WRB 39713 2672 15 a a DT 39713 2672 16 closed close VBN 39713 2672 17 current current NN 39713 2672 18 and and CC 39713 2672 19 an an DT 39713 2672 20 open open JJ 39713 2672 21 current current NN 39713 2672 22 , , , 39713 2672 23 whose whose WP$ 39713 2672 24 intensities intensity NNS 39713 2672 25 have have VBP 39713 2672 26 been be VBN 39713 2672 27 maintained maintain VBN 39713 2672 28 constant constant JJ 39713 2672 29 , , , 39713 2672 30 return return VB 39713 2672 31 to to IN 39713 2672 32 their -PRON- PRP$ 39713 2672 33 initial initial JJ 39713 2672 34 positions position NNS 39713 2672 35 , , , 39713 2672 36 the the DT 39713 2672 37 total total JJ 39713 2672 38 work work NN 39713 2672 39 is be VBZ 39713 2672 40 not not RB 39713 2672 41 null null JJ 39713 2672 42 . . . 39713 2673 1 3 3 LS 39713 2673 2 . . . 39713 2674 1 _ _ NNP 39713 2674 2 Continuous continuous JJ 39713 2674 3 Rotations._--Among rotations._--among NN 39713 2674 4 electrodynamic electrodynamic JJ 39713 2674 5 experiments experiment NNS 39713 2674 6 , , , 39713 2674 7 the the DT 39713 2674 8 most most RBS 39713 2674 9 remarkable remarkable JJ 39713 2674 10 are be VBP 39713 2674 11 those those DT 39713 2674 12 in in IN 39713 2674 13 which which WDT 39713 2674 14 continuous continuous JJ 39713 2674 15 rotations rotation NNS 39713 2674 16 are be VBP 39713 2674 17 produced produce VBN 39713 2674 18 and and CC 39713 2674 19 which which WDT 39713 2674 20 are be VBP 39713 2674 21 sometimes sometimes RB 39713 2674 22 called call VBN 39713 2674 23 _ _ NNP 39713 2674 24 unipolar unipolar JJ 39713 2674 25 induction induction NN 39713 2674 26 _ _ NNP 39713 2674 27 experiments experiment NNS 39713 2674 28 . . . 39713 2675 1 A a DT 39713 2675 2 magnet magnet NN 39713 2675 3 may may MD 39713 2675 4 turn turn VB 39713 2675 5 about about IN 39713 2675 6 its -PRON- PRP$ 39713 2675 7 axis axi NNS 39713 2675 8 ; ; : 39713 2675 9 a a DT 39713 2675 10 current current NN 39713 2675 11 passes pass VBZ 39713 2675 12 first first RB 39713 2675 13 through through IN 39713 2675 14 a a DT 39713 2675 15 fixed fix VBN 39713 2675 16 wire wire NN 39713 2675 17 , , , 39713 2675 18 enters enter VBZ 39713 2675 19 the the DT 39713 2675 20 magnet magnet NN 39713 2675 21 by by IN 39713 2675 22 the the DT 39713 2675 23 pole pole NN 39713 2675 24 _ _ NNP 39713 2675 25 N N NNP 39713 2675 26 _ _ NNP 39713 2675 27 , , , 39713 2675 28 for for IN 39713 2675 29 example example NN 39713 2675 30 , , , 39713 2675 31 passes pass VBZ 39713 2675 32 through through IN 39713 2675 33 half half PDT 39713 2675 34 the the DT 39713 2675 35 magnet magnet NN 39713 2675 36 , , , 39713 2675 37 emerges emerge VBZ 39713 2675 38 by by IN 39713 2675 39 a a DT 39713 2675 40 sliding slide VBG 39713 2675 41 contact contact NN 39713 2675 42 and and CC 39713 2675 43 reenters reenter VBZ 39713 2675 44 the the DT 39713 2675 45 fixed fix VBN 39713 2675 46 wire wire NN 39713 2675 47 . . . 39713 2676 1 The the DT 39713 2676 2 magnet magnet NN 39713 2676 3 then then RB 39713 2676 4 begins begin VBZ 39713 2676 5 to to TO 39713 2676 6 rotate rotate VB 39713 2676 7 continuously continuously RB 39713 2676 8 without without IN 39713 2676 9 being be VBG 39713 2676 10 able able JJ 39713 2676 11 ever ever RB 39713 2676 12 to to TO 39713 2676 13 attain attain VB 39713 2676 14 equilibrium equilibrium NN 39713 2676 15 ; ; : 39713 2676 16 this this DT 39713 2676 17 is be VBZ 39713 2676 18 Faraday Faraday NNP 39713 2676 19 's 's POS 39713 2676 20 experiment experiment NN 39713 2676 21 . . . 39713 2677 1 How how WRB 39713 2677 2 is be VBZ 39713 2677 3 it -PRON- PRP 39713 2677 4 possible possible JJ 39713 2677 5 ? ? . 39713 2678 1 If if IN 39713 2678 2 it -PRON- PRP 39713 2678 3 were be VBD 39713 2678 4 a a DT 39713 2678 5 question question NN 39713 2678 6 of of IN 39713 2678 7 two two CD 39713 2678 8 circuits circuit NNS 39713 2678 9 of of IN 39713 2678 10 invariable invariable JJ 39713 2678 11 form form NN 39713 2678 12 , , , 39713 2678 13 the the DT 39713 2678 14 one one CD 39713 2678 15 _ _ NNP 39713 2678 16 C C NNP 39713 2678 17 _ _ NNP 39713 2678 18 fixed fix VBN 39713 2678 19 , , , 39713 2678 20 the the DT 39713 2678 21 other other JJ 39713 2678 22 _ _ NNP 39713 2678 23 C C NNP 39713 2678 24 ' ' '' 39713 2678 25 _ _ NNP 39713 2678 26 movable movable JJ 39713 2678 27 about about IN 39713 2678 28 an an DT 39713 2678 29 axis axis NN 39713 2678 30 , , , 39713 2678 31 this this DT 39713 2678 32 latter latter JJ 39713 2678 33 could could MD 39713 2678 34 never never RB 39713 2678 35 take take VB 39713 2678 36 on on RP 39713 2678 37 continuous continuous JJ 39713 2678 38 rotation rotation NN 39713 2678 39 ; ; : 39713 2678 40 in in IN 39713 2678 41 fact fact NN 39713 2678 42 there there EX 39713 2678 43 is be VBZ 39713 2678 44 an an DT 39713 2678 45 electrodynamic electrodynamic JJ 39713 2678 46 potential potential NN 39713 2678 47 ; ; : 39713 2678 48 there there EX 39713 2678 49 must must MD 39713 2678 50 therefore therefore RB 39713 2678 51 be be VB 39713 2678 52 necessarily necessarily RB 39713 2678 53 a a DT 39713 2678 54 position position NN 39713 2678 55 of of IN 39713 2678 56 equilibrium equilibrium NN 39713 2678 57 when when WRB 39713 2678 58 this this DT 39713 2678 59 potential potential NN 39713 2678 60 is be VBZ 39713 2678 61 a a DT 39713 2678 62 maximum maximum NN 39713 2678 63 . . . 39713 2679 1 Continuous continuous JJ 39713 2679 2 rotations rotation NNS 39713 2679 3 are be VBP 39713 2679 4 therefore therefore RB 39713 2679 5 possible possible JJ 39713 2679 6 only only RB 39713 2679 7 when when WRB 39713 2679 8 the the DT 39713 2679 9 circuit circuit NN 39713 2679 10 _ _ NNP 39713 2679 11 C C NNP 39713 2679 12 ' ' '' 39713 2679 13 _ _ NNP 39713 2679 14 is be VBZ 39713 2679 15 composed compose VBN 39713 2679 16 of of IN 39713 2679 17 two two CD 39713 2679 18 parts part NNS 39713 2679 19 : : : 39713 2679 20 one one CD 39713 2679 21 fixed fix VBN 39713 2679 22 , , , 39713 2679 23 the the DT 39713 2679 24 other other JJ 39713 2679 25 movable movable JJ 39713 2679 26 about about IN 39713 2679 27 an an DT 39713 2679 28 axis axis NN 39713 2679 29 , , , 39713 2679 30 as as IN 39713 2679 31 is be VBZ 39713 2679 32 the the DT 39713 2679 33 case case NN 39713 2679 34 in in IN 39713 2679 35 Faraday Faraday NNP 39713 2679 36 's 's POS 39713 2679 37 experiment experiment NN 39713 2679 38 . . . 39713 2680 1 Here here RB 39713 2680 2 again again RB 39713 2680 3 it -PRON- PRP 39713 2680 4 is be VBZ 39713 2680 5 convenient convenient JJ 39713 2680 6 to to TO 39713 2680 7 draw draw VB 39713 2680 8 a a DT 39713 2680 9 distinction distinction NN 39713 2680 10 . . . 39713 2681 1 The the DT 39713 2681 2 passage passage NN 39713 2681 3 from from IN 39713 2681 4 the the DT 39713 2681 5 fixed fix VBN 39713 2681 6 to to IN 39713 2681 7 the the DT 39713 2681 8 movable movable JJ 39713 2681 9 part part NN 39713 2681 10 , , , 39713 2681 11 or or CC 39713 2681 12 inversely inversely RB 39713 2681 13 , , , 39713 2681 14 may may MD 39713 2681 15 take take VB 39713 2681 16 place place NN 39713 2681 17 either either CC 39713 2681 18 by by IN 39713 2681 19 simple simple JJ 39713 2681 20 contact contact NN 39713 2681 21 ( ( -LRB- 39713 2681 22 the the DT 39713 2681 23 same same JJ 39713 2681 24 point point NN 39713 2681 25 of of IN 39713 2681 26 the the DT 39713 2681 27 movable movable JJ 39713 2681 28 part part NN 39713 2681 29 remaining remain VBG 39713 2681 30 constantly constantly RB 39713 2681 31 in in IN 39713 2681 32 contact contact NN 39713 2681 33 with with IN 39713 2681 34 the the DT 39713 2681 35 same same JJ 39713 2681 36 point point NN 39713 2681 37 of of IN 39713 2681 38 the the DT 39713 2681 39 fixed fix VBN 39713 2681 40 part part NN 39713 2681 41 ) ) -RRB- 39713 2681 42 , , , 39713 2681 43 or or CC 39713 2681 44 by by IN 39713 2681 45 a a DT 39713 2681 46 sliding slide VBG 39713 2681 47 contact contact NN 39713 2681 48 ( ( -LRB- 39713 2681 49 the the DT 39713 2681 50 same same JJ 39713 2681 51 point point NN 39713 2681 52 of of IN 39713 2681 53 the the DT 39713 2681 54 movable movable JJ 39713 2681 55 part part NN 39713 2681 56 coming come VBG 39713 2681 57 successively successively RB 39713 2681 58 in in IN 39713 2681 59 contact contact NN 39713 2681 60 with with IN 39713 2681 61 diverse diverse JJ 39713 2681 62 points point NNS 39713 2681 63 of of IN 39713 2681 64 the the DT 39713 2681 65 fixed fix VBN 39713 2681 66 part part NN 39713 2681 67 ) ) -RRB- 39713 2681 68 . . . 39713 2682 1 It -PRON- PRP 39713 2682 2 is be VBZ 39713 2682 3 only only RB 39713 2682 4 in in IN 39713 2682 5 the the DT 39713 2682 6 second second JJ 39713 2682 7 case case NN 39713 2682 8 that that IN 39713 2682 9 there there EX 39713 2682 10 can can MD 39713 2682 11 be be VB 39713 2682 12 continuous continuous JJ 39713 2682 13 rotation rotation NN 39713 2682 14 . . . 39713 2683 1 This this DT 39713 2683 2 is be VBZ 39713 2683 3 what what WP 39713 2683 4 then then RB 39713 2683 5 happens happen VBZ 39713 2683 6 : : : 39713 2683 7 The the DT 39713 2683 8 system system NN 39713 2683 9 tends tend VBZ 39713 2683 10 to to TO 39713 2683 11 take take VB 39713 2683 12 a a DT 39713 2683 13 position position NN 39713 2683 14 of of IN 39713 2683 15 equilibrium equilibrium NN 39713 2683 16 ; ; : 39713 2683 17 but but CC 39713 2683 18 , , , 39713 2683 19 when when WRB 39713 2683 20 at at IN 39713 2683 21 the the DT 39713 2683 22 point point NN 39713 2683 23 of of IN 39713 2683 24 reaching reach VBG 39713 2683 25 that that DT 39713 2683 26 position position NN 39713 2683 27 , , , 39713 2683 28 the the DT 39713 2683 29 sliding slide VBG 39713 2683 30 contact contact NN 39713 2683 31 puts put VBZ 39713 2683 32 the the DT 39713 2683 33 movable movable JJ 39713 2683 34 part part NN 39713 2683 35 in in IN 39713 2683 36 communication communication NN 39713 2683 37 with with IN 39713 2683 38 a a DT 39713 2683 39 new new JJ 39713 2683 40 point point NN 39713 2683 41 of of IN 39713 2683 42 the the DT 39713 2683 43 fixed fix VBN 39713 2683 44 part part NN 39713 2683 45 ; ; : 39713 2683 46 it -PRON- PRP 39713 2683 47 changes change VBZ 39713 2683 48 the the DT 39713 2683 49 connections connection NNS 39713 2683 50 , , , 39713 2683 51 it -PRON- PRP 39713 2683 52 changes change VBZ 39713 2683 53 therefore therefore RB 39713 2683 54 the the DT 39713 2683 55 conditions condition NNS 39713 2683 56 of of IN 39713 2683 57 equilibrium equilibrium NN 39713 2683 58 , , , 39713 2683 59 so so IN 39713 2683 60 that that IN 39713 2683 61 the the DT 39713 2683 62 position position NN 39713 2683 63 of of IN 39713 2683 64 equilibrium equilibrium NN 39713 2683 65 fleeing fleeing NN 39713 2683 66 , , , 39713 2683 67 so so RB 39713 2683 68 to to TO 39713 2683 69 say say VB 39713 2683 70 , , , 39713 2683 71 before before IN 39713 2683 72 the the DT 39713 2683 73 system system NN 39713 2683 74 which which WDT 39713 2683 75 seeks seek VBZ 39713 2683 76 to to TO 39713 2683 77 attain attain VB 39713 2683 78 it -PRON- PRP 39713 2683 79 , , , 39713 2683 80 rotation rotation NN 39713 2683 81 may may MD 39713 2683 82 take take VB 39713 2683 83 place place NN 39713 2683 84 indefinitely indefinitely RB 39713 2683 85 . . . 39713 2684 1 Ampère Ampère NNP 39713 2684 2 assumes assume VBZ 39713 2684 3 that that IN 39713 2684 4 the the DT 39713 2684 5 action action NN 39713 2684 6 of of IN 39713 2684 7 the the DT 39713 2684 8 circuit circuit NN 39713 2684 9 on on IN 39713 2684 10 the the DT 39713 2684 11 movable movable JJ 39713 2684 12 part part NN 39713 2684 13 of of IN 39713 2684 14 _ _ NNP 39713 2684 15 C C NNP 39713 2684 16 ' ' POS 39713 2684 17 _ _ NNP 39713 2684 18 is be VBZ 39713 2684 19 the the DT 39713 2684 20 same same JJ 39713 2684 21 as as IN 39713 2684 22 if if IN 39713 2684 23 the the DT 39713 2684 24 fixed fix VBN 39713 2684 25 part part NN 39713 2684 26 of of IN 39713 2684 27 _ _ NNP 39713 2684 28 C C NNP 39713 2684 29 ' ' '' 39713 2684 30 _ _ NNP 39713 2684 31 did do VBD 39713 2684 32 not not RB 39713 2684 33 exist exist VB 39713 2684 34 , , , 39713 2684 35 and and CC 39713 2684 36 therefore therefore RB 39713 2684 37 as as IN 39713 2684 38 if if IN 39713 2684 39 the the DT 39713 2684 40 current current JJ 39713 2684 41 passing pass VBG 39713 2684 42 through through IN 39713 2684 43 the the DT 39713 2684 44 movable movable JJ 39713 2684 45 part part NN 39713 2684 46 were be VBD 39713 2684 47 open open JJ 39713 2684 48 . . . 39713 2685 1 He -PRON- PRP 39713 2685 2 concludes conclude VBZ 39713 2685 3 therefore therefore RB 39713 2685 4 that that IN 39713 2685 5 the the DT 39713 2685 6 action action NN 39713 2685 7 of of IN 39713 2685 8 a a DT 39713 2685 9 closed closed JJ 39713 2685 10 on on IN 39713 2685 11 an an DT 39713 2685 12 open open JJ 39713 2685 13 current current NN 39713 2685 14 , , , 39713 2685 15 or or CC 39713 2685 16 inversely inversely RB 39713 2685 17 that that DT 39713 2685 18 of of IN 39713 2685 19 an an DT 39713 2685 20 open open JJ 39713 2685 21 current current NN 39713 2685 22 on on IN 39713 2685 23 a a DT 39713 2685 24 closed closed JJ 39713 2685 25 current current NN 39713 2685 26 , , , 39713 2685 27 may may MD 39713 2685 28 give give VB 39713 2685 29 rise rise NN 39713 2685 30 to to IN 39713 2685 31 a a DT 39713 2685 32 continuous continuous JJ 39713 2685 33 rotation rotation NN 39713 2685 34 . . . 39713 2686 1 But but CC 39713 2686 2 this this DT 39713 2686 3 conclusion conclusion NN 39713 2686 4 depends depend VBZ 39713 2686 5 on on IN 39713 2686 6 the the DT 39713 2686 7 hypothesis hypothesis NN 39713 2686 8 I -PRON- PRP 39713 2686 9 have have VBP 39713 2686 10 enunciated enunciate VBN 39713 2686 11 and and CC 39713 2686 12 which which WDT 39713 2686 13 , , , 39713 2686 14 as as IN 39713 2686 15 I -PRON- PRP 39713 2686 16 said say VBD 39713 2686 17 above above RB 39713 2686 18 , , , 39713 2686 19 is be VBZ 39713 2686 20 not not RB 39713 2686 21 admitted admit VBN 39713 2686 22 by by IN 39713 2686 23 Helmholtz Helmholtz NNP 39713 2686 24 . . . 39713 2687 1 4 4 LS 39713 2687 2 . . . 39713 2688 1 _ _ NNP 39713 2688 2 Mutual Mutual NNP 39713 2688 3 Action Action NNP 39713 2688 4 of of IN 39713 2688 5 Two two CD 39713 2688 6 Open open JJ 39713 2688 7 Currents._--In currents._--in NN 39713 2688 8 what what WP 39713 2688 9 concerns concern VBZ 39713 2688 10 the the DT 39713 2688 11 mutual mutual JJ 39713 2688 12 actions action NNS 39713 2688 13 of of IN 39713 2688 14 two two CD 39713 2688 15 open open JJ 39713 2688 16 currents current NNS 39713 2688 17 , , , 39713 2688 18 and and CC 39713 2688 19 in in IN 39713 2688 20 particular particular JJ 39713 2688 21 that that DT 39713 2688 22 of of IN 39713 2688 23 two two CD 39713 2688 24 elements element NNS 39713 2688 25 of of IN 39713 2688 26 current current NN 39713 2688 27 , , , 39713 2688 28 all all DT 39713 2688 29 experiment experiment NN 39713 2688 30 breaks break VBZ 39713 2688 31 down down RP 39713 2688 32 . . . 39713 2689 1 Ampère Ampère NNP 39713 2689 2 has have VBZ 39713 2689 3 recourse recourse VBN 39713 2689 4 to to IN 39713 2689 5 hypothesis hypothesis NN 39713 2689 6 . . . 39713 2690 1 He -PRON- PRP 39713 2690 2 supposes suppose VBZ 39713 2690 3 : : : 39713 2690 4 1º 1º CD 39713 2690 5 That that IN 39713 2690 6 the the DT 39713 2690 7 mutual mutual JJ 39713 2690 8 action action NN 39713 2690 9 of of IN 39713 2690 10 two two CD 39713 2690 11 elements element NNS 39713 2690 12 reduces reduce VBZ 39713 2690 13 to to IN 39713 2690 14 a a DT 39713 2690 15 force force NN 39713 2690 16 acting act VBG 39713 2690 17 along along IN 39713 2690 18 their -PRON- PRP$ 39713 2690 19 join join NN 39713 2690 20 ; ; : 39713 2690 21 2º 2º LS 39713 2690 22 That that WDT 39713 2690 23 the the DT 39713 2690 24 action action NN 39713 2690 25 of of IN 39713 2690 26 two two CD 39713 2690 27 closed closed JJ 39713 2690 28 currents current NNS 39713 2690 29 is be VBZ 39713 2690 30 the the DT 39713 2690 31 resultant resultant NN 39713 2690 32 of of IN 39713 2690 33 the the DT 39713 2690 34 mutual mutual JJ 39713 2690 35 actions action NNS 39713 2690 36 of of IN 39713 2690 37 their -PRON- PRP$ 39713 2690 38 diverse diverse JJ 39713 2690 39 elements element NNS 39713 2690 40 , , , 39713 2690 41 which which WDT 39713 2690 42 are be VBP 39713 2690 43 besides besides IN 39713 2690 44 the the DT 39713 2690 45 same same JJ 39713 2690 46 as as IN 39713 2690 47 if if IN 39713 2690 48 these these DT 39713 2690 49 elements element NNS 39713 2690 50 were be VBD 39713 2690 51 isolated isolate VBN 39713 2690 52 . . . 39713 2691 1 What what WP 39713 2691 2 is be VBZ 39713 2691 3 remarkable remarkable JJ 39713 2691 4 is be VBZ 39713 2691 5 that that IN 39713 2691 6 here here RB 39713 2691 7 again again RB 39713 2691 8 Ampère Ampère NNP 39713 2691 9 makes make VBZ 39713 2691 10 these these DT 39713 2691 11 hypotheses hypothesis NNS 39713 2691 12 unconsciously unconsciously RB 39713 2691 13 . . . 39713 2692 1 However however RB 39713 2692 2 that that DT 39713 2692 3 may may MD 39713 2692 4 be be VB 39713 2692 5 , , , 39713 2692 6 these these DT 39713 2692 7 two two CD 39713 2692 8 hypotheses hypothesis NNS 39713 2692 9 , , , 39713 2692 10 together together RB 39713 2692 11 with with IN 39713 2692 12 the the DT 39713 2692 13 experiments experiment NNS 39713 2692 14 on on IN 39713 2692 15 closed closed JJ 39713 2692 16 currents current NNS 39713 2692 17 , , , 39713 2692 18 suffice suffice VB 39713 2692 19 to to TO 39713 2692 20 determine determine VB 39713 2692 21 completely completely RB 39713 2692 22 the the DT 39713 2692 23 law law NN 39713 2692 24 of of IN 39713 2692 25 the the DT 39713 2692 26 mutual mutual JJ 39713 2692 27 action action NN 39713 2692 28 of of IN 39713 2692 29 two two CD 39713 2692 30 elements element NNS 39713 2692 31 . . . 39713 2693 1 But but CC 39713 2693 2 then then RB 39713 2693 3 most most JJS 39713 2693 4 of of IN 39713 2693 5 the the DT 39713 2693 6 simple simple JJ 39713 2693 7 laws law NNS 39713 2693 8 we -PRON- PRP 39713 2693 9 have have VBP 39713 2693 10 met meet VBN 39713 2693 11 in in IN 39713 2693 12 the the DT 39713 2693 13 case case NN 39713 2693 14 of of IN 39713 2693 15 closed closed JJ 39713 2693 16 currents current NNS 39713 2693 17 are be VBP 39713 2693 18 no no RB 39713 2693 19 longer long RBR 39713 2693 20 true true JJ 39713 2693 21 . . . 39713 2694 1 In in IN 39713 2694 2 the the DT 39713 2694 3 first first JJ 39713 2694 4 place place NN 39713 2694 5 , , , 39713 2694 6 there there EX 39713 2694 7 is be VBZ 39713 2694 8 no no DT 39713 2694 9 electrodynamic electrodynamic JJ 39713 2694 10 potential potential NN 39713 2694 11 ; ; : 39713 2694 12 nor nor CC 39713 2694 13 was be VBD 39713 2694 14 there there RB 39713 2694 15 any any DT 39713 2694 16 , , , 39713 2694 17 as as IN 39713 2694 18 we -PRON- PRP 39713 2694 19 have have VBP 39713 2694 20 seen see VBN 39713 2694 21 , , , 39713 2694 22 in in IN 39713 2694 23 the the DT 39713 2694 24 case case NN 39713 2694 25 of of IN 39713 2694 26 a a DT 39713 2694 27 closed closed JJ 39713 2694 28 current current JJ 39713 2694 29 acting acting NN 39713 2694 30 on on IN 39713 2694 31 an an DT 39713 2694 32 open open JJ 39713 2694 33 current current NN 39713 2694 34 . . . 39713 2695 1 Next next RB 39713 2695 2 there there EX 39713 2695 3 is be VBZ 39713 2695 4 , , , 39713 2695 5 properly properly RB 39713 2695 6 speaking speak VBG 39713 2695 7 , , , 39713 2695 8 no no DT 39713 2695 9 magnetic magnetic JJ 39713 2695 10 force force NN 39713 2695 11 . . . 39713 2696 1 And and CC 39713 2696 2 , , , 39713 2696 3 in in IN 39713 2696 4 fact fact NN 39713 2696 5 , , , 39713 2696 6 we -PRON- PRP 39713 2696 7 have have VBP 39713 2696 8 given give VBN 39713 2696 9 above above IN 39713 2696 10 three three CD 39713 2696 11 different different JJ 39713 2696 12 definitions definition NNS 39713 2696 13 of of IN 39713 2696 14 this this DT 39713 2696 15 force force NN 39713 2696 16 : : : 39713 2696 17 1º 1º CD 39713 2696 18 By by IN 39713 2696 19 the the DT 39713 2696 20 action action NN 39713 2696 21 on on IN 39713 2696 22 a a DT 39713 2696 23 magnetic magnetic JJ 39713 2696 24 pole pole NN 39713 2696 25 ; ; : 39713 2696 26 2º 2º NNS 39713 2696 27 By by IN 39713 2696 28 the the DT 39713 2696 29 director director NN 39713 2696 30 couple couple NN 39713 2696 31 which which WDT 39713 2696 32 orientates orientate VBZ 39713 2696 33 the the DT 39713 2696 34 magnetic magnetic JJ 39713 2696 35 needle needle NN 39713 2696 36 ; ; : 39713 2696 37 3º 3º NN 39713 2696 38 By by IN 39713 2696 39 the the DT 39713 2696 40 action action NN 39713 2696 41 on on IN 39713 2696 42 an an DT 39713 2696 43 element element NN 39713 2696 44 of of IN 39713 2696 45 current current NN 39713 2696 46 . . . 39713 2697 1 But but CC 39713 2697 2 in in IN 39713 2697 3 the the DT 39713 2697 4 case case NN 39713 2697 5 which which WDT 39713 2697 6 now now RB 39713 2697 7 occupies occupy VBZ 39713 2697 8 us -PRON- PRP 39713 2697 9 , , , 39713 2697 10 not not RB 39713 2697 11 only only RB 39713 2697 12 these these DT 39713 2697 13 three three CD 39713 2697 14 definitions definition NNS 39713 2697 15 are be VBP 39713 2697 16 no no RB 39713 2697 17 longer long RBR 39713 2697 18 in in IN 39713 2697 19 harmony harmony NN 39713 2697 20 , , , 39713 2697 21 but but CC 39713 2697 22 each each DT 39713 2697 23 has have VBZ 39713 2697 24 lost lose VBN 39713 2697 25 its -PRON- PRP$ 39713 2697 26 meaning meaning NN 39713 2697 27 , , , 39713 2697 28 and and CC 39713 2697 29 in in IN 39713 2697 30 fact fact NN 39713 2697 31 : : : 39713 2697 32 1º 1º CD 39713 2697 33 A a DT 39713 2697 34 magnetic magnetic JJ 39713 2697 35 pole pole NN 39713 2697 36 is be VBZ 39713 2697 37 no no RB 39713 2697 38 longer long RBR 39713 2697 39 acted act VBN 39713 2697 40 upon upon IN 39713 2697 41 simply simply RB 39713 2697 42 by by IN 39713 2697 43 a a DT 39713 2697 44 single single JJ 39713 2697 45 force force NN 39713 2697 46 applied apply VBN 39713 2697 47 to to IN 39713 2697 48 this this DT 39713 2697 49 pole pole NN 39713 2697 50 . . . 39713 2698 1 We -PRON- PRP 39713 2698 2 have have VBP 39713 2698 3 seen see VBN 39713 2698 4 in in IN 39713 2698 5 fact fact NN 39713 2698 6 that that IN 39713 2698 7 the the DT 39713 2698 8 force force NN 39713 2698 9 due due IN 39713 2698 10 to to IN 39713 2698 11 the the DT 39713 2698 12 action action NN 39713 2698 13 of of IN 39713 2698 14 an an DT 39713 2698 15 element element NN 39713 2698 16 of of IN 39713 2698 17 current current NN 39713 2698 18 on on IN 39713 2698 19 a a DT 39713 2698 20 pole pole NN 39713 2698 21 is be VBZ 39713 2698 22 not not RB 39713 2698 23 applied apply VBN 39713 2698 24 to to IN 39713 2698 25 the the DT 39713 2698 26 pole pole NN 39713 2698 27 , , , 39713 2698 28 but but CC 39713 2698 29 to to IN 39713 2698 30 the the DT 39713 2698 31 element element NN 39713 2698 32 ; ; : 39713 2698 33 it -PRON- PRP 39713 2698 34 may may MD 39713 2698 35 moreover moreover RB 39713 2698 36 be be VB 39713 2698 37 replaced replace VBN 39713 2698 38 by by IN 39713 2698 39 a a DT 39713 2698 40 force force NN 39713 2698 41 applied apply VBN 39713 2698 42 to to IN 39713 2698 43 the the DT 39713 2698 44 pole pole NN 39713 2698 45 and and CC 39713 2698 46 by by IN 39713 2698 47 a a DT 39713 2698 48 couple couple NN 39713 2698 49 ; ; : 39713 2698 50 2º 2º CD 39713 2698 51 The the DT 39713 2698 52 couple couple NN 39713 2698 53 which which WDT 39713 2698 54 acts act VBZ 39713 2698 55 on on IN 39713 2698 56 the the DT 39713 2698 57 magnetic magnetic JJ 39713 2698 58 needle needle NN 39713 2698 59 is be VBZ 39713 2698 60 no no RB 39713 2698 61 longer long RBR 39713 2698 62 a a DT 39713 2698 63 simple simple JJ 39713 2698 64 director director NN 39713 2698 65 couple couple NN 39713 2698 66 , , , 39713 2698 67 for for IN 39713 2698 68 its -PRON- PRP$ 39713 2698 69 moment moment NN 39713 2698 70 with with IN 39713 2698 71 respect respect NN 39713 2698 72 to to IN 39713 2698 73 the the DT 39713 2698 74 axis axis NN 39713 2698 75 of of IN 39713 2698 76 the the DT 39713 2698 77 needle needle NN 39713 2698 78 is be VBZ 39713 2698 79 not not RB 39713 2698 80 null null JJ 39713 2698 81 . . . 39713 2699 1 It -PRON- PRP 39713 2699 2 breaks break VBZ 39713 2699 3 up up RP 39713 2699 4 into into IN 39713 2699 5 a a DT 39713 2699 6 director director NN 39713 2699 7 couple couple NN 39713 2699 8 , , , 39713 2699 9 properly properly RB 39713 2699 10 so so RB 39713 2699 11 called call VBN 39713 2699 12 , , , 39713 2699 13 and and CC 39713 2699 14 a a DT 39713 2699 15 supplementary supplementary JJ 39713 2699 16 couple couple NN 39713 2699 17 which which WDT 39713 2699 18 tends tend VBZ 39713 2699 19 to to TO 39713 2699 20 produce produce VB 39713 2699 21 the the DT 39713 2699 22 continuous continuous JJ 39713 2699 23 rotation rotation NN 39713 2699 24 of of IN 39713 2699 25 which which WDT 39713 2699 26 we -PRON- PRP 39713 2699 27 have have VBP 39713 2699 28 above above RB 39713 2699 29 spoken speak VBN 39713 2699 30 ; ; : 39713 2699 31 3º 3º NNP 39713 2699 32 Finally finally RB 39713 2699 33 the the DT 39713 2699 34 force force NN 39713 2699 35 acting act VBG 39713 2699 36 on on IN 39713 2699 37 an an DT 39713 2699 38 element element NN 39713 2699 39 of of IN 39713 2699 40 current current NN 39713 2699 41 is be VBZ 39713 2699 42 not not RB 39713 2699 43 normal normal JJ 39713 2699 44 to to IN 39713 2699 45 this this DT 39713 2699 46 element element NN 39713 2699 47 . . . 39713 2700 1 In in IN 39713 2700 2 other other JJ 39713 2700 3 words word NNS 39713 2700 4 , , , 39713 2700 5 _ _ NNP 39713 2700 6 the the DT 39713 2700 7 unity unity NN 39713 2700 8 of of IN 39713 2700 9 the the DT 39713 2700 10 magnetic magnetic JJ 39713 2700 11 force force NN 39713 2700 12 has have VBZ 39713 2700 13 disappeared disappear VBN 39713 2700 14 _ _ NNP 39713 2700 15 . . . 39713 2701 1 Let let VB 39713 2701 2 us -PRON- PRP 39713 2701 3 see see VB 39713 2701 4 in in IN 39713 2701 5 what what WP 39713 2701 6 this this DT 39713 2701 7 unity unity NN 39713 2701 8 consists consist VBZ 39713 2701 9 . . . 39713 2702 1 Two two CD 39713 2702 2 systems system NNS 39713 2702 3 which which WDT 39713 2702 4 exercise exercise VBP 39713 2702 5 the the DT 39713 2702 6 same same JJ 39713 2702 7 action action NN 39713 2702 8 on on IN 39713 2702 9 a a DT 39713 2702 10 magnetic magnetic JJ 39713 2702 11 pole pole NN 39713 2702 12 will will MD 39713 2702 13 exert exert VB 39713 2702 14 also also RB 39713 2702 15 the the DT 39713 2702 16 same same JJ 39713 2702 17 action action NN 39713 2702 18 on on IN 39713 2702 19 an an DT 39713 2702 20 indefinitely indefinitely RB 39713 2702 21 small small JJ 39713 2702 22 magnetic magnetic JJ 39713 2702 23 needle needle NN 39713 2702 24 , , , 39713 2702 25 or or CC 39713 2702 26 on on IN 39713 2702 27 an an DT 39713 2702 28 element element NN 39713 2702 29 of of IN 39713 2702 30 current current JJ 39713 2702 31 placed place VBN 39713 2702 32 at at IN 39713 2702 33 the the DT 39713 2702 34 same same JJ 39713 2702 35 point point NN 39713 2702 36 of of IN 39713 2702 37 space space NN 39713 2702 38 as as IN 39713 2702 39 this this DT 39713 2702 40 pole pole NN 39713 2702 41 . . . 39713 2703 1 Well well UH 39713 2703 2 , , , 39713 2703 3 this this DT 39713 2703 4 is be VBZ 39713 2703 5 true true JJ 39713 2703 6 if if IN 39713 2703 7 these these DT 39713 2703 8 two two CD 39713 2703 9 systems system NNS 39713 2703 10 contain contain VBP 39713 2703 11 only only RB 39713 2703 12 closed close VBD 39713 2703 13 currents current NNS 39713 2703 14 ; ; : 39713 2703 15 this this DT 39713 2703 16 would would MD 39713 2703 17 no no RB 39713 2703 18 longer longer RB 39713 2703 19 be be VB 39713 2703 20 true true JJ 39713 2703 21 if if IN 39713 2703 22 these these DT 39713 2703 23 two two CD 39713 2703 24 systems system NNS 39713 2703 25 contained contain VBD 39713 2703 26 open open JJ 39713 2703 27 currents current NNS 39713 2703 28 . . . 39713 2704 1 It -PRON- PRP 39713 2704 2 suffices suffice VBZ 39713 2704 3 to to TO 39713 2704 4 remark remark VB 39713 2704 5 , , , 39713 2704 6 for for IN 39713 2704 7 instance instance NN 39713 2704 8 , , , 39713 2704 9 that that IN 39713 2704 10 , , , 39713 2704 11 if if IN 39713 2704 12 a a DT 39713 2704 13 magnetic magnetic JJ 39713 2704 14 pole pole NN 39713 2704 15 is be VBZ 39713 2704 16 placed place VBN 39713 2704 17 at at IN 39713 2704 18 _ _ NNP 39713 2704 19 A A NNP 39713 2704 20 _ _ NNP 39713 2704 21 and and CC 39713 2704 22 an an DT 39713 2704 23 element element NN 39713 2704 24 at at IN 39713 2704 25 _ _ NNP 39713 2704 26 B B NNP 39713 2704 27 _ _ NNP 39713 2704 28 , , , 39713 2704 29 the the DT 39713 2704 30 direction direction NN 39713 2704 31 of of IN 39713 2704 32 the the DT 39713 2704 33 element element NN 39713 2704 34 being be VBG 39713 2704 35 along along IN 39713 2704 36 the the DT 39713 2704 37 prolongation prolongation NN 39713 2704 38 of of IN 39713 2704 39 the the DT 39713 2704 40 sect sect NN 39713 2704 41 _ _ NNP 39713 2704 42 AB AB NNP 39713 2704 43 _ _ NNP 39713 2704 44 , , , 39713 2704 45 this this DT 39713 2704 46 element element NN 39713 2704 47 which which WDT 39713 2704 48 will will MD 39713 2704 49 exercise exercise VB 39713 2704 50 no no DT 39713 2704 51 action action NN 39713 2704 52 on on IN 39713 2704 53 this this DT 39713 2704 54 pole pole NN 39713 2704 55 will will MD 39713 2704 56 , , , 39713 2704 57 on on IN 39713 2704 58 the the DT 39713 2704 59 other other JJ 39713 2704 60 hand hand NN 39713 2704 61 , , , 39713 2704 62 exercise exercise VB 39713 2704 63 an an DT 39713 2704 64 action action NN 39713 2704 65 either either CC 39713 2704 66 on on IN 39713 2704 67 a a DT 39713 2704 68 magnetic magnetic JJ 39713 2704 69 needle needle NN 39713 2704 70 placed place VBN 39713 2704 71 at at IN 39713 2704 72 the the DT 39713 2704 73 point point NN 39713 2704 74 _ _ NNP 39713 2704 75 A A NNP 39713 2704 76 _ _ NNP 39713 2704 77 , , , 39713 2704 78 or or CC 39713 2704 79 on on IN 39713 2704 80 an an DT 39713 2704 81 element element NN 39713 2704 82 of of IN 39713 2704 83 current current JJ 39713 2704 84 placed place VBN 39713 2704 85 at at IN 39713 2704 86 the the DT 39713 2704 87 point point NN 39713 2704 88 _ _ NNP 39713 2704 89 A A NNP 39713 2704 90 _ _ NNP 39713 2704 91 . . . 39713 2705 1 5 5 CD 39713 2705 2 . . . 39713 2706 1 _ _ NNP 39713 2706 2 Induction._--We Induction._--We NNP 39713 2706 3 know know VBP 39713 2706 4 that that IN 39713 2706 5 the the DT 39713 2706 6 discovery discovery NN 39713 2706 7 of of IN 39713 2706 8 electrodynamic electrodynamic NNP 39713 2706 9 induction induction NNP 39713 2706 10 soon soon RB 39713 2706 11 followed follow VBD 39713 2706 12 the the DT 39713 2706 13 immortal immortal JJ 39713 2706 14 work work NN 39713 2706 15 of of IN 39713 2706 16 Ampère Ampère NNP 39713 2706 17 . . . 39713 2707 1 As as RB 39713 2707 2 long long RB 39713 2707 3 as as IN 39713 2707 4 it -PRON- PRP 39713 2707 5 is be VBZ 39713 2707 6 only only RB 39713 2707 7 a a DT 39713 2707 8 question question NN 39713 2707 9 of of IN 39713 2707 10 closed closed JJ 39713 2707 11 currents current NNS 39713 2707 12 there there EX 39713 2707 13 is be VBZ 39713 2707 14 no no DT 39713 2707 15 difficulty difficulty NN 39713 2707 16 , , , 39713 2707 17 and and CC 39713 2707 18 Helmholtz Helmholtz NNP 39713 2707 19 has have VBZ 39713 2707 20 even even RB 39713 2707 21 remarked remark VBN 39713 2707 22 that that IN 39713 2707 23 the the DT 39713 2707 24 principle principle NN 39713 2707 25 of of IN 39713 2707 26 the the DT 39713 2707 27 conservation conservation NN 39713 2707 28 of of IN 39713 2707 29 energy energy NN 39713 2707 30 is be VBZ 39713 2707 31 sufficient sufficient JJ 39713 2707 32 for for IN 39713 2707 33 deducing deduce VBG 39713 2707 34 the the DT 39713 2707 35 laws law NNS 39713 2707 36 of of IN 39713 2707 37 induction induction NN 39713 2707 38 from from IN 39713 2707 39 the the DT 39713 2707 40 electrodynamic electrodynamic JJ 39713 2707 41 laws law NNS 39713 2707 42 of of IN 39713 2707 43 Ampère Ampère NNP 39713 2707 44 . . . 39713 2708 1 But but CC 39713 2708 2 always always RB 39713 2708 3 on on IN 39713 2708 4 one one CD 39713 2708 5 condition condition NN 39713 2708 6 , , , 39713 2708 7 as as IN 39713 2708 8 Bertrand Bertrand NNP 39713 2708 9 has have VBZ 39713 2708 10 well well RB 39713 2708 11 shown show VBN 39713 2708 12 ; ; : 39713 2708 13 that that IN 39713 2708 14 we -PRON- PRP 39713 2708 15 make make VBP 39713 2708 16 besides besides IN 39713 2708 17 a a DT 39713 2708 18 certain certain JJ 39713 2708 19 number number NN 39713 2708 20 of of IN 39713 2708 21 hypotheses hypothesis NNS 39713 2708 22 . . . 39713 2709 1 The the DT 39713 2709 2 same same JJ 39713 2709 3 principle principle NN 39713 2709 4 again again RB 39713 2709 5 permits permit VBZ 39713 2709 6 this this DT 39713 2709 7 deduction deduction NN 39713 2709 8 in in IN 39713 2709 9 the the DT 39713 2709 10 case case NN 39713 2709 11 of of IN 39713 2709 12 open open JJ 39713 2709 13 currents current NNS 39713 2709 14 , , , 39713 2709 15 although although IN 39713 2709 16 of of IN 39713 2709 17 course course NN 39713 2709 18 we -PRON- PRP 39713 2709 19 can can MD 39713 2709 20 not not RB 39713 2709 21 submit submit VB 39713 2709 22 the the DT 39713 2709 23 result result NN 39713 2709 24 to to IN 39713 2709 25 the the DT 39713 2709 26 test test NN 39713 2709 27 of of IN 39713 2709 28 experiment experiment NN 39713 2709 29 , , , 39713 2709 30 since since IN 39713 2709 31 we -PRON- PRP 39713 2709 32 can can MD 39713 2709 33 not not RB 39713 2709 34 produce produce VB 39713 2709 35 such such JJ 39713 2709 36 currents current NNS 39713 2709 37 . . . 39713 2710 1 If if IN 39713 2710 2 we -PRON- PRP 39713 2710 3 try try VBP 39713 2710 4 to to TO 39713 2710 5 apply apply VB 39713 2710 6 this this DT 39713 2710 7 mode mode NN 39713 2710 8 of of IN 39713 2710 9 analysis analysis NN 39713 2710 10 to to IN 39713 2710 11 Ampère Ampère NNP 39713 2710 12 's 's POS 39713 2710 13 theory theory NN 39713 2710 14 of of IN 39713 2710 15 open open JJ 39713 2710 16 currents current NNS 39713 2710 17 , , , 39713 2710 18 we -PRON- PRP 39713 2710 19 reach reach VBP 39713 2710 20 results result NNS 39713 2710 21 calculated calculate VBN 39713 2710 22 to to TO 39713 2710 23 surprise surprise VB 39713 2710 24 us -PRON- PRP 39713 2710 25 . . . 39713 2711 1 In in IN 39713 2711 2 the the DT 39713 2711 3 first first JJ 39713 2711 4 place place NN 39713 2711 5 , , , 39713 2711 6 induction induction NN 39713 2711 7 can can MD 39713 2711 8 not not RB 39713 2711 9 be be VB 39713 2711 10 deduced deduce VBN 39713 2711 11 from from IN 39713 2711 12 the the DT 39713 2711 13 variation variation NN 39713 2711 14 of of IN 39713 2711 15 the the DT 39713 2711 16 magnetic magnetic JJ 39713 2711 17 field field NN 39713 2711 18 by by IN 39713 2711 19 the the DT 39713 2711 20 formula formula NN 39713 2711 21 well well RB 39713 2711 22 known know VBN 39713 2711 23 to to IN 39713 2711 24 savants savant NNS 39713 2711 25 and and CC 39713 2711 26 practicians practician NNS 39713 2711 27 , , , 39713 2711 28 and and CC 39713 2711 29 , , , 39713 2711 30 in in IN 39713 2711 31 fact fact NN 39713 2711 32 , , , 39713 2711 33 as as IN 39713 2711 34 we -PRON- PRP 39713 2711 35 have have VBP 39713 2711 36 said say VBD 39713 2711 37 , , , 39713 2711 38 properly properly RB 39713 2711 39 speaking speak VBG 39713 2711 40 there there EX 39713 2711 41 is be VBZ 39713 2711 42 no no RB 39713 2711 43 longer long RBR 39713 2711 44 a a DT 39713 2711 45 magnetic magnetic JJ 39713 2711 46 field field NN 39713 2711 47 . . . 39713 2712 1 But but CC 39713 2712 2 , , , 39713 2712 3 further far RBR 39713 2712 4 , , , 39713 2712 5 if if IN 39713 2712 6 a a DT 39713 2712 7 circuit circuit NN 39713 2712 8 _ _ NNP 39713 2712 9 C C NNP 39713 2712 10 _ _ NNP 39713 2712 11 is be VBZ 39713 2712 12 subjected subject VBN 39713 2712 13 to to IN 39713 2712 14 the the DT 39713 2712 15 induction induction NN 39713 2712 16 of of IN 39713 2712 17 a a DT 39713 2712 18 variable variable JJ 39713 2712 19 voltaic voltaic NN 39713 2712 20 system system NN 39713 2712 21 _ _ NNP 39713 2712 22 S S NNP 39713 2712 23 _ _ NNP 39713 2712 24 , , , 39713 2712 25 if if IN 39713 2712 26 this this DT 39713 2712 27 system system NN 39713 2712 28 _ _ NNP 39713 2712 29 S S NNP 39713 2712 30 _ _ NNP 39713 2712 31 be be VB 39713 2712 32 displaced displace VBN 39713 2712 33 and and CC 39713 2712 34 deformed deform VBN 39713 2712 35 in in IN 39713 2712 36 any any DT 39713 2712 37 way way NN 39713 2712 38 whatever whatever WDT 39713 2712 39 , , , 39713 2712 40 so so IN 39713 2712 41 that that IN 39713 2712 42 the the DT 39713 2712 43 intensity intensity NN 39713 2712 44 of of IN 39713 2712 45 the the DT 39713 2712 46 currents current NNS 39713 2712 47 of of IN 39713 2712 48 this this DT 39713 2712 49 system system NN 39713 2712 50 varies vary VBZ 39713 2712 51 according accord VBG 39713 2712 52 to to IN 39713 2712 53 any any DT 39713 2712 54 law law NN 39713 2712 55 whatever whatever WDT 39713 2712 56 , , , 39713 2712 57 but but CC 39713 2712 58 that that IN 39713 2712 59 after after IN 39713 2712 60 these these DT 39713 2712 61 variations variation NNS 39713 2712 62 the the DT 39713 2712 63 system system NN 39713 2712 64 finally finally RB 39713 2712 65 returns return VBZ 39713 2712 66 to to IN 39713 2712 67 its -PRON- PRP$ 39713 2712 68 initial initial JJ 39713 2712 69 situation situation NN 39713 2712 70 , , , 39713 2712 71 it -PRON- PRP 39713 2712 72 seems seem VBZ 39713 2712 73 natural natural JJ 39713 2712 74 to to TO 39713 2712 75 suppose suppose VB 39713 2712 76 that that IN 39713 2712 77 the the DT 39713 2712 78 _ _ NNP 39713 2712 79 mean mean NN 39713 2712 80 _ _ NNP 39713 2712 81 electromotive electromotive JJ 39713 2712 82 force force NN 39713 2712 83 induced induce VBN 39713 2712 84 in in IN 39713 2712 85 the the DT 39713 2712 86 circuit circuit NN 39713 2712 87 _ _ NNP 39713 2712 88 C C NNP 39713 2712 89 _ _ NNP 39713 2712 90 is be VBZ 39713 2712 91 null null JJ 39713 2712 92 . . . 39713 2713 1 This this DT 39713 2713 2 is be VBZ 39713 2713 3 true true JJ 39713 2713 4 if if IN 39713 2713 5 the the DT 39713 2713 6 circuit circuit NN 39713 2713 7 _ _ NNP 39713 2713 8 C C NNP 39713 2713 9 _ _ NNP 39713 2713 10 is be VBZ 39713 2713 11 closed closed JJ 39713 2713 12 and and CC 39713 2713 13 if if IN 39713 2713 14 the the DT 39713 2713 15 system system NN 39713 2713 16 _ _ NNP 39713 2713 17 S S NNP 39713 2713 18 _ _ NNP 39713 2713 19 contains contain VBZ 39713 2713 20 only only RB 39713 2713 21 closed closed JJ 39713 2713 22 currents current NNS 39713 2713 23 . . . 39713 2714 1 This this DT 39713 2714 2 would would MD 39713 2714 3 no no RB 39713 2714 4 longer longer RB 39713 2714 5 be be VB 39713 2714 6 true true JJ 39713 2714 7 , , , 39713 2714 8 if if IN 39713 2714 9 one one NN 39713 2714 10 accepts accept VBZ 39713 2714 11 the the DT 39713 2714 12 theory theory NN 39713 2714 13 of of IN 39713 2714 14 Ampère Ampère NNP 39713 2714 15 , , , 39713 2714 16 if if IN 39713 2714 17 there there EX 39713 2714 18 were be VBD 39713 2714 19 open open JJ 39713 2714 20 currents current NNS 39713 2714 21 . . . 39713 2715 1 So so RB 39713 2715 2 that that IN 39713 2715 3 not not RB 39713 2715 4 only only RB 39713 2715 5 induction induction NN 39713 2715 6 will will MD 39713 2715 7 no no RB 39713 2715 8 longer longer RB 39713 2715 9 be be VB 39713 2715 10 the the DT 39713 2715 11 variation variation NN 39713 2715 12 of of IN 39713 2715 13 the the DT 39713 2715 14 flow flow NN 39713 2715 15 of of IN 39713 2715 16 magnetic magnetic JJ 39713 2715 17 force force NN 39713 2715 18 , , , 39713 2715 19 in in IN 39713 2715 20 any any DT 39713 2715 21 of of IN 39713 2715 22 the the DT 39713 2715 23 usual usual JJ 39713 2715 24 senses sense NNS 39713 2715 25 of of IN 39713 2715 26 the the DT 39713 2715 27 word word NN 39713 2715 28 , , , 39713 2715 29 but but CC 39713 2715 30 it -PRON- PRP 39713 2715 31 can can MD 39713 2715 32 not not RB 39713 2715 33 be be VB 39713 2715 34 represented represent VBN 39713 2715 35 by by IN 39713 2715 36 the the DT 39713 2715 37 variation variation NN 39713 2715 38 of of IN 39713 2715 39 anything anything NN 39713 2715 40 whatever whatever WDT 39713 2715 41 . . . 39713 2716 1 II ii CD 39713 2716 2 . . . 39713 2717 1 THEORY THEORY NNP 39713 2717 2 OF of IN 39713 2717 3 HELMHOLTZ.--I helmholtz.--i CD 39713 2717 4 have have VBP 39713 2717 5 dwelt dwell VBN 39713 2717 6 upon upon IN 39713 2717 7 the the DT 39713 2717 8 consequences consequence NNS 39713 2717 9 of of IN 39713 2717 10 Ampère Ampère NNP 39713 2717 11 's 's POS 39713 2717 12 theory theory NN 39713 2717 13 , , , 39713 2717 14 and and CC 39713 2717 15 of of IN 39713 2717 16 his -PRON- PRP$ 39713 2717 17 method method NN 39713 2717 18 of of IN 39713 2717 19 explaining explain VBG 39713 2717 20 open open JJ 39713 2717 21 currents current NNS 39713 2717 22 . . . 39713 2718 1 It -PRON- PRP 39713 2718 2 is be VBZ 39713 2718 3 difficult difficult JJ 39713 2718 4 to to TO 39713 2718 5 overlook overlook VB 39713 2718 6 the the DT 39713 2718 7 paradoxical paradoxical JJ 39713 2718 8 and and CC 39713 2718 9 artificial artificial JJ 39713 2718 10 character character NN 39713 2718 11 of of IN 39713 2718 12 the the DT 39713 2718 13 propositions proposition NNS 39713 2718 14 to to TO 39713 2718 15 which which WDT 39713 2718 16 we -PRON- PRP 39713 2718 17 are be VBP 39713 2718 18 thus thus RB 39713 2718 19 led lead VBN 39713 2718 20 . . . 39713 2719 1 One one PRP 39713 2719 2 can can MD 39713 2719 3 not not RB 39713 2719 4 help help VB 39713 2719 5 thinking think VBG 39713 2719 6 ' ' '' 39713 2719 7 that that WDT 39713 2719 8 can can MD 39713 2719 9 not not RB 39713 2719 10 be be VB 39713 2719 11 so so RB 39713 2719 12 . . . 39713 2719 13 ' ' '' 39713 2720 1 We -PRON- PRP 39713 2720 2 understand understand VBP 39713 2720 3 therefore therefore RB 39713 2720 4 why why WRB 39713 2720 5 Helmholtz Helmholtz NNP 39713 2720 6 was be VBD 39713 2720 7 led lead VBN 39713 2720 8 to to TO 39713 2720 9 seek seek VB 39713 2720 10 something something NN 39713 2720 11 else else RB 39713 2720 12 . . . 39713 2721 1 Helmholtz Helmholtz NNP 39713 2721 2 rejects reject VBZ 39713 2721 3 Ampère Ampère NNP 39713 2721 4 's 's POS 39713 2721 5 fundamental fundamental JJ 39713 2721 6 hypothesis hypothesis NN 39713 2721 7 , , , 39713 2721 8 to to IN 39713 2721 9 wit wit NN 39713 2721 10 , , , 39713 2721 11 that that IN 39713 2721 12 the the DT 39713 2721 13 mutual mutual JJ 39713 2721 14 action action NN 39713 2721 15 of of IN 39713 2721 16 two two CD 39713 2721 17 elements element NNS 39713 2721 18 of of IN 39713 2721 19 current current JJ 39713 2721 20 reduces reduce NNS 39713 2721 21 to to IN 39713 2721 22 a a DT 39713 2721 23 force force NN 39713 2721 24 along along IN 39713 2721 25 their -PRON- PRP$ 39713 2721 26 join join NN 39713 2721 27 . . . 39713 2722 1 He -PRON- PRP 39713 2722 2 assumes assume VBZ 39713 2722 3 that that IN 39713 2722 4 an an DT 39713 2722 5 element element NN 39713 2722 6 of of IN 39713 2722 7 current current NN 39713 2722 8 is be VBZ 39713 2722 9 not not RB 39713 2722 10 subjected subject VBN 39713 2722 11 to to IN 39713 2722 12 a a DT 39713 2722 13 single single JJ 39713 2722 14 force force NN 39713 2722 15 , , , 39713 2722 16 but but CC 39713 2722 17 to to IN 39713 2722 18 a a DT 39713 2722 19 force force NN 39713 2722 20 and and CC 39713 2722 21 a a DT 39713 2722 22 couple couple NN 39713 2722 23 . . . 39713 2723 1 It -PRON- PRP 39713 2723 2 is be VBZ 39713 2723 3 just just RB 39713 2723 4 this this DT 39713 2723 5 which which WDT 39713 2723 6 gave give VBD 39713 2723 7 rise rise NN 39713 2723 8 to to IN 39713 2723 9 the the DT 39713 2723 10 celebrated celebrated JJ 39713 2723 11 polemic polemic NN 39713 2723 12 between between IN 39713 2723 13 Bertrand Bertrand NNP 39713 2723 14 and and CC 39713 2723 15 Helmholtz Helmholtz NNP 39713 2723 16 . . . 39713 2724 1 Helmholtz Helmholtz NNP 39713 2724 2 replaces replace VBZ 39713 2724 3 Ampère Ampère NNP 39713 2724 4 's 's POS 39713 2724 5 hypothesis hypothesis NN 39713 2724 6 by by IN 39713 2724 7 the the DT 39713 2724 8 following follow VBG 39713 2724 9 : : : 39713 2724 10 two two CD 39713 2724 11 elements element NNS 39713 2724 12 always always RB 39713 2724 13 admit admit VBP 39713 2724 14 of of IN 39713 2724 15 an an DT 39713 2724 16 electrodynamic electrodynamic JJ 39713 2724 17 potential potential NN 39713 2724 18 depending depend VBG 39713 2724 19 solely solely RB 39713 2724 20 on on IN 39713 2724 21 their -PRON- PRP$ 39713 2724 22 position position NN 39713 2724 23 and and CC 39713 2724 24 orientation orientation NN 39713 2724 25 ; ; : 39713 2724 26 and and CC 39713 2724 27 the the DT 39713 2724 28 work work NN 39713 2724 29 of of IN 39713 2724 30 the the DT 39713 2724 31 forces force NNS 39713 2724 32 that that WDT 39713 2724 33 they -PRON- PRP 39713 2724 34 exercise exercise VBP 39713 2724 35 , , , 39713 2724 36 one one CD 39713 2724 37 on on IN 39713 2724 38 the the DT 39713 2724 39 other other JJ 39713 2724 40 , , , 39713 2724 41 is be VBZ 39713 2724 42 equal equal JJ 39713 2724 43 to to IN 39713 2724 44 the the DT 39713 2724 45 variation variation NN 39713 2724 46 of of IN 39713 2724 47 this this DT 39713 2724 48 potential potential NN 39713 2724 49 . . . 39713 2725 1 Thus thus RB 39713 2725 2 Helmholtz Helmholtz NNP 39713 2725 3 can can MD 39713 2725 4 no no RB 39713 2725 5 more more RBR 39713 2725 6 do do VB 39713 2725 7 without without IN 39713 2725 8 hypothesis hypothesis NN 39713 2725 9 than than IN 39713 2725 10 Ampère Ampère NNP 39713 2725 11 ; ; : 39713 2725 12 but but CC 39713 2725 13 at at IN 39713 2725 14 least least JJS 39713 2725 15 he -PRON- PRP 39713 2725 16 does do VBZ 39713 2725 17 not not RB 39713 2725 18 make make VB 39713 2725 19 one one NN 39713 2725 20 without without IN 39713 2725 21 explicitly explicitly RB 39713 2725 22 announcing announce VBG 39713 2725 23 it -PRON- PRP 39713 2725 24 . . . 39713 2726 1 In in IN 39713 2726 2 the the DT 39713 2726 3 case case NN 39713 2726 4 of of IN 39713 2726 5 closed closed JJ 39713 2726 6 currents current NNS 39713 2726 7 , , , 39713 2726 8 which which WDT 39713 2726 9 are be VBP 39713 2726 10 alone alone RB 39713 2726 11 accessible accessible JJ 39713 2726 12 to to TO 39713 2726 13 experiment experiment NN 39713 2726 14 , , , 39713 2726 15 the the DT 39713 2726 16 two two CD 39713 2726 17 theories theory NNS 39713 2726 18 agree agree VBP 39713 2726 19 . . . 39713 2727 1 In in IN 39713 2727 2 all all DT 39713 2727 3 other other JJ 39713 2727 4 cases case NNS 39713 2727 5 they -PRON- PRP 39713 2727 6 differ differ VBP 39713 2727 7 . . . 39713 2728 1 In in IN 39713 2728 2 the the DT 39713 2728 3 first first JJ 39713 2728 4 place place NN 39713 2728 5 , , , 39713 2728 6 contrary contrary JJ 39713 2728 7 to to IN 39713 2728 8 what what WP 39713 2728 9 Ampère Ampère NNP 39713 2728 10 supposed suppose VBD 39713 2728 11 , , , 39713 2728 12 the the DT 39713 2728 13 force force NN 39713 2728 14 which which WDT 39713 2728 15 seems seem VBZ 39713 2728 16 to to TO 39713 2728 17 act act VB 39713 2728 18 on on IN 39713 2728 19 the the DT 39713 2728 20 movable movable JJ 39713 2728 21 portion portion NN 39713 2728 22 of of IN 39713 2728 23 a a DT 39713 2728 24 closed closed JJ 39713 2728 25 current current NN 39713 2728 26 is be VBZ 39713 2728 27 not not RB 39713 2728 28 the the DT 39713 2728 29 same same JJ 39713 2728 30 as as IN 39713 2728 31 would would MD 39713 2728 32 act act VB 39713 2728 33 upon upon IN 39713 2728 34 this this DT 39713 2728 35 movable movable JJ 39713 2728 36 portion portion NN 39713 2728 37 if if IN 39713 2728 38 it -PRON- PRP 39713 2728 39 were be VBD 39713 2728 40 isolated isolate VBN 39713 2728 41 and and CC 39713 2728 42 constituted constitute VBN 39713 2728 43 an an DT 39713 2728 44 open open JJ 39713 2728 45 current current NN 39713 2728 46 . . . 39713 2729 1 Let let VB 39713 2729 2 us -PRON- PRP 39713 2729 3 return return VB 39713 2729 4 to to IN 39713 2729 5 the the DT 39713 2729 6 circuit circuit NN 39713 2729 7 _ _ NNP 39713 2729 8 C C NNP 39713 2729 9 ' ' '' 39713 2729 10 _ _ NNP 39713 2729 11 , , , 39713 2729 12 of of IN 39713 2729 13 which which WDT 39713 2729 14 we -PRON- PRP 39713 2729 15 spoke speak VBD 39713 2729 16 above above RB 39713 2729 17 , , , 39713 2729 18 and and CC 39713 2729 19 which which WDT 39713 2729 20 was be VBD 39713 2729 21 formed form VBN 39713 2729 22 of of IN 39713 2729 23 a a DT 39713 2729 24 movable movable JJ 39713 2729 25 wire wire NN 39713 2729 26 [ [ -LRB- 39713 2729 27 alpha][beta alpha][beta NNP 39713 2729 28 ] ] -RRB- 39713 2729 29 sliding slide VBG 39713 2729 30 on on IN 39713 2729 31 a a DT 39713 2729 32 fixed fix VBN 39713 2729 33 wire wire NN 39713 2729 34 . . . 39713 2730 1 In in IN 39713 2730 2 the the DT 39713 2730 3 only only JJ 39713 2730 4 experiment experiment NN 39713 2730 5 that that WDT 39713 2730 6 can can MD 39713 2730 7 be be VB 39713 2730 8 made make VBN 39713 2730 9 , , , 39713 2730 10 the the DT 39713 2730 11 movable movable JJ 39713 2730 12 portion portion NN 39713 2730 13 [ [ -LRB- 39713 2730 14 alpha][beta alpha][beta NNP 39713 2730 15 ] ] -RRB- 39713 2730 16 is be VBZ 39713 2730 17 not not RB 39713 2730 18 isolated isolate VBN 39713 2730 19 , , , 39713 2730 20 but but CC 39713 2730 21 is be VBZ 39713 2730 22 part part NN 39713 2730 23 of of IN 39713 2730 24 a a DT 39713 2730 25 closed close VBN 39713 2730 26 circuit circuit NN 39713 2730 27 . . . 39713 2731 1 When when WRB 39713 2731 2 it -PRON- PRP 39713 2731 3 passes pass VBZ 39713 2731 4 from from IN 39713 2731 5 _ _ NNP 39713 2731 6 AB AB NNP 39713 2731 7 _ _ NNP 39713 2731 8 to to IN 39713 2731 9 _ _ NNP 39713 2731 10 A'B A'B NNP 39713 2731 11 ' ' POS 39713 2731 12 _ _ NNP 39713 2731 13 , , , 39713 2731 14 the the DT 39713 2731 15 total total JJ 39713 2731 16 electrodynamic electrodynamic JJ 39713 2731 17 potential potential JJ 39713 2731 18 varies varie NNS 39713 2731 19 for for IN 39713 2731 20 two two CD 39713 2731 21 reasons reason NNS 39713 2731 22 : : : 39713 2731 23 1º 1º NNS 39713 2731 24 It -PRON- PRP 39713 2731 25 undergoes undergo VBZ 39713 2731 26 a a DT 39713 2731 27 first first JJ 39713 2731 28 increase increase NN 39713 2731 29 because because IN 39713 2731 30 the the DT 39713 2731 31 potential potential NN 39713 2731 32 of of IN 39713 2731 33 _ _ NNP 39713 2731 34 A'B A'B NNP 39713 2731 35 ' ' '' 39713 2731 36 _ _ NNP 39713 2731 37 with with IN 39713 2731 38 respect respect NN 39713 2731 39 to to IN 39713 2731 40 the the DT 39713 2731 41 circuit circuit NN 39713 2731 42 _ _ NNP 39713 2731 43 C C NNP 39713 2731 44 _ _ NNP 39713 2731 45 is be VBZ 39713 2731 46 not not RB 39713 2731 47 the the DT 39713 2731 48 same same JJ 39713 2731 49 as as IN 39713 2731 50 that that DT 39713 2731 51 of of IN 39713 2731 52 _ _ NNP 39713 2731 53 AB AB NNP 39713 2731 54 _ _ NNP 39713 2731 55 ; ; : 39713 2731 56 2º 2º NNS 39713 2731 57 It -PRON- PRP 39713 2731 58 takes take VBZ 39713 2731 59 a a DT 39713 2731 60 second second JJ 39713 2731 61 increment increment NN 39713 2731 62 because because IN 39713 2731 63 it -PRON- PRP 39713 2731 64 must must MD 39713 2731 65 be be VB 39713 2731 66 increased increase VBN 39713 2731 67 by by IN 39713 2731 68 the the DT 39713 2731 69 potentials potential NNS 39713 2731 70 of of IN 39713 2731 71 the the DT 39713 2731 72 elements element NNS 39713 2731 73 _ _ NNP 39713 2731 74 AA AA NNP 39713 2731 75 ' ' POS 39713 2731 76 _ _ NNP 39713 2731 77 , , , 39713 2731 78 _ _ NNP 39713 2731 79 BB BB NNP 39713 2731 80 ' ' '' 39713 2731 81 _ _ NNP 39713 2731 82 with with IN 39713 2731 83 respect respect NN 39713 2731 84 to to IN 39713 2731 85 _ _ NNP 39713 2731 86 C C NNP 39713 2731 87 _ _ NNP 39713 2731 88 . . . 39713 2732 1 It -PRON- PRP 39713 2732 2 is be VBZ 39713 2732 3 this this DT 39713 2732 4 _ _ NNP 39713 2732 5 double double JJ 39713 2732 6 _ _ NNP 39713 2732 7 increment increment NN 39713 2732 8 which which WDT 39713 2732 9 represents represent VBZ 39713 2732 10 the the DT 39713 2732 11 work work NN 39713 2732 12 of of IN 39713 2732 13 the the DT 39713 2732 14 force force NN 39713 2732 15 to to TO 39713 2732 16 which which WDT 39713 2732 17 the the DT 39713 2732 18 portion portion NN 39713 2732 19 _ _ NNP 39713 2732 20 AB AB NNP 39713 2732 21 _ _ NNP 39713 2732 22 seems seem VBZ 39713 2732 23 subjected subject VBN 39713 2732 24 . . . 39713 2733 1 If if IN 39713 2733 2 , , , 39713 2733 3 on on IN 39713 2733 4 the the DT 39713 2733 5 contrary contrary NN 39713 2733 6 , , , 39713 2733 7 [ [ -LRB- 39713 2733 8 alpha][beta alpha][beta NNP 39713 2733 9 ] ] -RRB- 39713 2733 10 were be VBD 39713 2733 11 isolated isolate VBN 39713 2733 12 , , , 39713 2733 13 the the DT 39713 2733 14 potential potential NN 39713 2733 15 would would MD 39713 2733 16 undergo undergo VB 39713 2733 17 only only RB 39713 2733 18 the the DT 39713 2733 19 first first JJ 39713 2733 20 increase increase NN 39713 2733 21 , , , 39713 2733 22 and and CC 39713 2733 23 this this DT 39713 2733 24 first first JJ 39713 2733 25 increment increment NN 39713 2733 26 alone alone RB 39713 2733 27 would would MD 39713 2733 28 measure measure VB 39713 2733 29 the the DT 39713 2733 30 work work NN 39713 2733 31 of of IN 39713 2733 32 the the DT 39713 2733 33 force force NN 39713 2733 34 which which WDT 39713 2733 35 acts act VBZ 39713 2733 36 on on IN 39713 2733 37 _ _ NNP 39713 2733 38 AB AB NNP 39713 2733 39 _ _ NNP 39713 2733 40 . . . 39713 2734 1 In in IN 39713 2734 2 the the DT 39713 2734 3 second second JJ 39713 2734 4 place place NN 39713 2734 5 , , , 39713 2734 6 there there EX 39713 2734 7 could could MD 39713 2734 8 be be VB 39713 2734 9 no no DT 39713 2734 10 continuous continuous JJ 39713 2734 11 rotation rotation NN 39713 2734 12 without without IN 39713 2734 13 sliding slide VBG 39713 2734 14 contact contact NN 39713 2734 15 , , , 39713 2734 16 and and CC 39713 2734 17 , , , 39713 2734 18 in in IN 39713 2734 19 fact fact NN 39713 2734 20 , , , 39713 2734 21 that that IN 39713 2734 22 , , , 39713 2734 23 as as IN 39713 2734 24 we -PRON- PRP 39713 2734 25 have have VBP 39713 2734 26 seen see VBN 39713 2734 27 _ _ NNP 39713 2734 28 à à NNP 39713 2734 29 propos propos NN 39713 2734 30 _ _ NNP 39713 2734 31 of of IN 39713 2734 32 closed close VBN 39713 2734 33 currents current NNS 39713 2734 34 , , , 39713 2734 35 is be VBZ 39713 2734 36 an an DT 39713 2734 37 immediate immediate JJ 39713 2734 38 consequence consequence NN 39713 2734 39 of of IN 39713 2734 40 the the DT 39713 2734 41 existence existence NN 39713 2734 42 of of IN 39713 2734 43 an an DT 39713 2734 44 electrodynamic electrodynamic JJ 39713 2734 45 potential potential NN 39713 2734 46 . . . 39713 2735 1 In in IN 39713 2735 2 Faraday Faraday NNP 39713 2735 3 's 's POS 39713 2735 4 experiment experiment NN 39713 2735 5 , , , 39713 2735 6 if if IN 39713 2735 7 the the DT 39713 2735 8 magnet magnet NN 39713 2735 9 is be VBZ 39713 2735 10 fixed fix VBN 39713 2735 11 and and CC 39713 2735 12 if if IN 39713 2735 13 the the DT 39713 2735 14 part part NN 39713 2735 15 of of IN 39713 2735 16 the the DT 39713 2735 17 current current JJ 39713 2735 18 exterior exterior NN 39713 2735 19 to to IN 39713 2735 20 the the DT 39713 2735 21 magnet magnet NN 39713 2735 22 runs run VBZ 39713 2735 23 along along IN 39713 2735 24 a a DT 39713 2735 25 movable movable JJ 39713 2735 26 wire wire NN 39713 2735 27 , , , 39713 2735 28 that that DT 39713 2735 29 movable movable JJ 39713 2735 30 part part NN 39713 2735 31 may may MD 39713 2735 32 undergo undergo VB 39713 2735 33 a a DT 39713 2735 34 continuous continuous JJ 39713 2735 35 rotation rotation NN 39713 2735 36 . . . 39713 2736 1 But but CC 39713 2736 2 this this DT 39713 2736 3 does do VBZ 39713 2736 4 not not RB 39713 2736 5 mean mean VB 39713 2736 6 to to TO 39713 2736 7 say say VB 39713 2736 8 that that IN 39713 2736 9 if if IN 39713 2736 10 the the DT 39713 2736 11 contacts contact NNS 39713 2736 12 of of IN 39713 2736 13 the the DT 39713 2736 14 wire wire NN 39713 2736 15 with with IN 39713 2736 16 the the DT 39713 2736 17 magnet magnet NN 39713 2736 18 were be VBD 39713 2736 19 suppressed suppress VBN 39713 2736 20 , , , 39713 2736 21 and and CC 39713 2736 22 an an DT 39713 2736 23 _ _ NNP 39713 2736 24 open open JJ 39713 2736 25 _ _ NNP 39713 2736 26 current current NN 39713 2736 27 were be VBD 39713 2736 28 to to TO 39713 2736 29 run run VB 39713 2736 30 along along IN 39713 2736 31 the the DT 39713 2736 32 wire wire NN 39713 2736 33 , , , 39713 2736 34 the the DT 39713 2736 35 wire wire NN 39713 2736 36 would would MD 39713 2736 37 still still RB 39713 2736 38 take take VB 39713 2736 39 a a DT 39713 2736 40 movement movement NN 39713 2736 41 of of IN 39713 2736 42 continuous continuous JJ 39713 2736 43 rotation rotation NN 39713 2736 44 . . . 39713 2737 1 I -PRON- PRP 39713 2737 2 have have VBP 39713 2737 3 just just RB 39713 2737 4 said say VBN 39713 2737 5 in in IN 39713 2737 6 fact fact NN 39713 2737 7 that that IN 39713 2737 8 an an DT 39713 2737 9 _ _ NNP 39713 2737 10 isolated isolate VBN 39713 2737 11 _ _ NNP 39713 2737 12 element element NN 39713 2737 13 is be VBZ 39713 2737 14 not not RB 39713 2737 15 acted act VBN 39713 2737 16 upon upon IN 39713 2737 17 in in IN 39713 2737 18 the the DT 39713 2737 19 same same JJ 39713 2737 20 way way NN 39713 2737 21 as as IN 39713 2737 22 a a DT 39713 2737 23 movable movable JJ 39713 2737 24 element element NN 39713 2737 25 making make VBG 39713 2737 26 part part NN 39713 2737 27 of of IN 39713 2737 28 a a DT 39713 2737 29 closed close VBN 39713 2737 30 circuit circuit NN 39713 2737 31 . . . 39713 2738 1 Another another DT 39713 2738 2 difference difference NN 39713 2738 3 : : : 39713 2738 4 The the DT 39713 2738 5 action action NN 39713 2738 6 of of IN 39713 2738 7 a a DT 39713 2738 8 closed closed JJ 39713 2738 9 solenoid solenoid NN 39713 2738 10 on on IN 39713 2738 11 a a DT 39713 2738 12 closed closed JJ 39713 2738 13 current current NN 39713 2738 14 is be VBZ 39713 2738 15 null null NN 39713 2738 16 according accord VBG 39713 2738 17 to to IN 39713 2738 18 experiment experiment NN 39713 2738 19 and and CC 39713 2738 20 according accord VBG 39713 2738 21 to to IN 39713 2738 22 the the DT 39713 2738 23 two two CD 39713 2738 24 theories theory NNS 39713 2738 25 . . . 39713 2739 1 Its -PRON- PRP$ 39713 2739 2 action action NN 39713 2739 3 on on IN 39713 2739 4 an an DT 39713 2739 5 open open JJ 39713 2739 6 current current NN 39713 2739 7 would would MD 39713 2739 8 be be VB 39713 2739 9 null null JJ 39713 2739 10 according accord VBG 39713 2739 11 to to IN 39713 2739 12 Ampère Ampère NNP 39713 2739 13 ; ; : 39713 2739 14 it -PRON- PRP 39713 2739 15 would would MD 39713 2739 16 not not RB 39713 2739 17 be be VB 39713 2739 18 null null JJ 39713 2739 19 according accord VBG 39713 2739 20 to to IN 39713 2739 21 Helmholtz Helmholtz NNP 39713 2739 22 . . . 39713 2740 1 From from IN 39713 2740 2 this this DT 39713 2740 3 follows follow VBZ 39713 2740 4 an an DT 39713 2740 5 important important JJ 39713 2740 6 consequence consequence NN 39713 2740 7 . . . 39713 2741 1 We -PRON- PRP 39713 2741 2 have have VBP 39713 2741 3 given give VBN 39713 2741 4 above above IN 39713 2741 5 three three CD 39713 2741 6 definitions definition NNS 39713 2741 7 of of IN 39713 2741 8 magnetic magnetic JJ 39713 2741 9 force force NN 39713 2741 10 . . . 39713 2742 1 The the DT 39713 2742 2 third third JJ 39713 2742 3 has have VBZ 39713 2742 4 no no DT 39713 2742 5 meaning meaning NN 39713 2742 6 here here RB 39713 2742 7 since since IN 39713 2742 8 an an DT 39713 2742 9 element element NN 39713 2742 10 of of IN 39713 2742 11 current current NN 39713 2742 12 is be VBZ 39713 2742 13 no no RB 39713 2742 14 longer long RBR 39713 2742 15 acted act VBN 39713 2742 16 upon upon IN 39713 2742 17 by by IN 39713 2742 18 a a DT 39713 2742 19 single single JJ 39713 2742 20 force force NN 39713 2742 21 . . . 39713 2743 1 No no DT 39713 2743 2 more more JJR 39713 2743 3 has have VBZ 39713 2743 4 the the DT 39713 2743 5 first first JJ 39713 2743 6 any any DT 39713 2743 7 meaning meaning NN 39713 2743 8 . . . 39713 2744 1 What what WP 39713 2744 2 , , , 39713 2744 3 in in IN 39713 2744 4 fact fact NN 39713 2744 5 , , , 39713 2744 6 is be VBZ 39713 2744 7 a a DT 39713 2744 8 magnetic magnetic JJ 39713 2744 9 pole pole NN 39713 2744 10 ? ? . 39713 2745 1 It -PRON- PRP 39713 2745 2 is be VBZ 39713 2745 3 the the DT 39713 2745 4 extremity extremity NN 39713 2745 5 of of IN 39713 2745 6 an an DT 39713 2745 7 indefinite indefinite JJ 39713 2745 8 linear linear JJ 39713 2745 9 magnet magnet NN 39713 2745 10 . . . 39713 2746 1 This this DT 39713 2746 2 magnet magnet NN 39713 2746 3 may may MD 39713 2746 4 be be VB 39713 2746 5 replaced replace VBN 39713 2746 6 by by IN 39713 2746 7 an an DT 39713 2746 8 indefinite indefinite JJ 39713 2746 9 solenoid solenoid NN 39713 2746 10 . . . 39713 2747 1 For for IN 39713 2747 2 the the DT 39713 2747 3 definition definition NN 39713 2747 4 of of IN 39713 2747 5 magnetic magnetic JJ 39713 2747 6 force force NN 39713 2747 7 to to TO 39713 2747 8 have have VB 39713 2747 9 any any DT 39713 2747 10 meaning meaning NN 39713 2747 11 , , , 39713 2747 12 it -PRON- PRP 39713 2747 13 would would MD 39713 2747 14 be be VB 39713 2747 15 necessary necessary JJ 39713 2747 16 that that IN 39713 2747 17 the the DT 39713 2747 18 action action NN 39713 2747 19 exercised exercise VBN 39713 2747 20 by by IN 39713 2747 21 an an DT 39713 2747 22 open open JJ 39713 2747 23 current current NN 39713 2747 24 on on IN 39713 2747 25 an an DT 39713 2747 26 indefinite indefinite JJ 39713 2747 27 solenoid solenoid NN 39713 2747 28 should should MD 39713 2747 29 depend depend VB 39713 2747 30 only only RB 39713 2747 31 on on IN 39713 2747 32 the the DT 39713 2747 33 position position NN 39713 2747 34 of of IN 39713 2747 35 the the DT 39713 2747 36 extremity extremity NN 39713 2747 37 of of IN 39713 2747 38 this this DT 39713 2747 39 solenoid solenoid NN 39713 2747 40 , , , 39713 2747 41 that that DT 39713 2747 42 is be VBZ 39713 2747 43 to to TO 39713 2747 44 say say VB 39713 2747 45 , , , 39713 2747 46 that that IN 39713 2747 47 the the DT 39713 2747 48 action action NN 39713 2747 49 on on IN 39713 2747 50 a a DT 39713 2747 51 closed closed JJ 39713 2747 52 solenoid solenoid NN 39713 2747 53 should should MD 39713 2747 54 be be VB 39713 2747 55 null null JJ 39713 2747 56 . . . 39713 2748 1 Now now RB 39713 2748 2 we -PRON- PRP 39713 2748 3 have have VBP 39713 2748 4 just just RB 39713 2748 5 seen see VBN 39713 2748 6 that that IN 39713 2748 7 such such JJ 39713 2748 8 is be VBZ 39713 2748 9 not not RB 39713 2748 10 the the DT 39713 2748 11 case case NN 39713 2748 12 . . . 39713 2749 1 On on IN 39713 2749 2 the the DT 39713 2749 3 other other JJ 39713 2749 4 hand hand NN 39713 2749 5 , , , 39713 2749 6 nothing nothing NN 39713 2749 7 prevents prevent VBZ 39713 2749 8 our -PRON- PRP$ 39713 2749 9 adopting adopt VBG 39713 2749 10 the the DT 39713 2749 11 second second JJ 39713 2749 12 definition definition NN 39713 2749 13 , , , 39713 2749 14 which which WDT 39713 2749 15 is be VBZ 39713 2749 16 founded found VBN 39713 2749 17 on on IN 39713 2749 18 the the DT 39713 2749 19 measurement measurement NN 39713 2749 20 of of IN 39713 2749 21 the the DT 39713 2749 22 director director NN 39713 2749 23 couple couple NN 39713 2749 24 which which WDT 39713 2749 25 tends tend VBZ 39713 2749 26 to to TO 39713 2749 27 orientate orientate VB 39713 2749 28 the the DT 39713 2749 29 magnetic magnetic JJ 39713 2749 30 needle needle NN 39713 2749 31 . . . 39713 2750 1 But but CC 39713 2750 2 if if IN 39713 2750 3 it -PRON- PRP 39713 2750 4 is be VBZ 39713 2750 5 adopted adopt VBN 39713 2750 6 , , , 39713 2750 7 neither neither CC 39713 2750 8 the the DT 39713 2750 9 effects effect NNS 39713 2750 10 of of IN 39713 2750 11 induction induction NN 39713 2750 12 nor nor CC 39713 2750 13 the the DT 39713 2750 14 electrodynamic electrodynamic JJ 39713 2750 15 effects effect NNS 39713 2750 16 will will MD 39713 2750 17 depend depend VB 39713 2750 18 solely solely RB 39713 2750 19 on on IN 39713 2750 20 the the DT 39713 2750 21 distribution distribution NN 39713 2750 22 of of IN 39713 2750 23 the the DT 39713 2750 24 lines line NNS 39713 2750 25 of of IN 39713 2750 26 force force NN 39713 2750 27 in in IN 39713 2750 28 this this DT 39713 2750 29 magnetic magnetic JJ 39713 2750 30 field field NN 39713 2750 31 . . . 39713 2751 1 III iii CD 39713 2751 2 . . . 39713 2752 1 DIFFICULTIES difficulty NNS 39713 2752 2 RAISED raise VBD 39713 2752 3 BY by IN 39713 2752 4 THESE these DT 39713 2752 5 THEORIES.--The theories.--the DT 39713 2752 6 theory theory NN 39713 2752 7 of of IN 39713 2752 8 Helmholtz Helmholtz NNP 39713 2752 9 is be VBZ 39713 2752 10 in in IN 39713 2752 11 advance advance NN 39713 2752 12 of of IN 39713 2752 13 that that DT 39713 2752 14 of of IN 39713 2752 15 Ampère Ampère NNP 39713 2752 16 ; ; : 39713 2752 17 it -PRON- PRP 39713 2752 18 is be VBZ 39713 2752 19 necessary necessary JJ 39713 2752 20 , , , 39713 2752 21 however however RB 39713 2752 22 , , , 39713 2752 23 that that IN 39713 2752 24 all all PDT 39713 2752 25 the the DT 39713 2752 26 difficulties difficulty NNS 39713 2752 27 should should MD 39713 2752 28 be be VB 39713 2752 29 smoothed smooth VBN 39713 2752 30 away away RB 39713 2752 31 . . . 39713 2753 1 In in IN 39713 2753 2 the the DT 39713 2753 3 one one NN 39713 2753 4 as as IN 39713 2753 5 in in IN 39713 2753 6 the the DT 39713 2753 7 other other JJ 39713 2753 8 , , , 39713 2753 9 the the DT 39713 2753 10 phrase phrase NN 39713 2753 11 ' ' POS 39713 2753 12 magnetic magnetic JJ 39713 2753 13 field field NN 39713 2753 14 ' ' '' 39713 2753 15 has have VBZ 39713 2753 16 no no DT 39713 2753 17 meaning meaning NN 39713 2753 18 , , , 39713 2753 19 or or CC 39713 2753 20 , , , 39713 2753 21 if if IN 39713 2753 22 we -PRON- PRP 39713 2753 23 give give VBP 39713 2753 24 it -PRON- PRP 39713 2753 25 one one NN 39713 2753 26 , , , 39713 2753 27 by by IN 39713 2753 28 a a DT 39713 2753 29 more more RBR 39713 2753 30 or or CC 39713 2753 31 less less RBR 39713 2753 32 artificial artificial JJ 39713 2753 33 convention convention NN 39713 2753 34 , , , 39713 2753 35 the the DT 39713 2753 36 ordinary ordinary JJ 39713 2753 37 laws law NNS 39713 2753 38 so so RB 39713 2753 39 familiar familiar JJ 39713 2753 40 to to IN 39713 2753 41 all all DT 39713 2753 42 electricians electrician NNS 39713 2753 43 no no RB 39713 2753 44 longer longer RB 39713 2753 45 apply apply VBP 39713 2753 46 ; ; : 39713 2753 47 thus thus RB 39713 2753 48 the the DT 39713 2753 49 electromotive electromotive JJ 39713 2753 50 force force NN 39713 2753 51 induced induce VBN 39713 2753 52 in in IN 39713 2753 53 a a DT 39713 2753 54 wire wire NN 39713 2753 55 is be VBZ 39713 2753 56 no no RB 39713 2753 57 longer long RBR 39713 2753 58 measured measure VBN 39713 2753 59 by by IN 39713 2753 60 the the DT 39713 2753 61 number number NN 39713 2753 62 of of IN 39713 2753 63 lines line NNS 39713 2753 64 of of IN 39713 2753 65 force force NN 39713 2753 66 met meet VBN 39713 2753 67 by by IN 39713 2753 68 this this DT 39713 2753 69 wire wire NN 39713 2753 70 . . . 39713 2754 1 And and CC 39713 2754 2 our -PRON- PRP$ 39713 2754 3 repugnance repugnance NN 39713 2754 4 does do VBZ 39713 2754 5 not not RB 39713 2754 6 come come VB 39713 2754 7 alone alone RB 39713 2754 8 from from IN 39713 2754 9 the the DT 39713 2754 10 difficulty difficulty NN 39713 2754 11 of of IN 39713 2754 12 renouncing renounce VBG 39713 2754 13 inveterate inveterate JJ 39713 2754 14 habits habit NNS 39713 2754 15 of of IN 39713 2754 16 language language NN 39713 2754 17 and and CC 39713 2754 18 of of IN 39713 2754 19 thought thought NN 39713 2754 20 . . . 39713 2755 1 There there EX 39713 2755 2 is be VBZ 39713 2755 3 something something NN 39713 2755 4 more more JJR 39713 2755 5 . . . 39713 2756 1 If if IN 39713 2756 2 we -PRON- PRP 39713 2756 3 do do VBP 39713 2756 4 not not RB 39713 2756 5 believe believe VB 39713 2756 6 in in IN 39713 2756 7 action action NN 39713 2756 8 at at IN 39713 2756 9 a a DT 39713 2756 10 distance distance NN 39713 2756 11 , , , 39713 2756 12 electrodynamic electrodynamic JJ 39713 2756 13 phenomena phenomenon NNS 39713 2756 14 must must MD 39713 2756 15 be be VB 39713 2756 16 explained explain VBN 39713 2756 17 by by IN 39713 2756 18 a a DT 39713 2756 19 modification modification NN 39713 2756 20 of of IN 39713 2756 21 the the DT 39713 2756 22 medium medium NN 39713 2756 23 . . . 39713 2757 1 It -PRON- PRP 39713 2757 2 is be VBZ 39713 2757 3 precisely precisely RB 39713 2757 4 this this DT 39713 2757 5 modification modification NN 39713 2757 6 that that WDT 39713 2757 7 we -PRON- PRP 39713 2757 8 call call VBP 39713 2757 9 ' ' '' 39713 2757 10 magnetic magnetic JJ 39713 2757 11 field field NN 39713 2757 12 . . . 39713 2757 13 ' ' '' 39713 2758 1 And and CC 39713 2758 2 then then RB 39713 2758 3 the the DT 39713 2758 4 electrodynamic electrodynamic JJ 39713 2758 5 effects effect NNS 39713 2758 6 must must MD 39713 2758 7 depend depend VB 39713 2758 8 only only RB 39713 2758 9 on on IN 39713 2758 10 this this DT 39713 2758 11 field field NN 39713 2758 12 . . . 39713 2759 1 All all PDT 39713 2759 2 these these DT 39713 2759 3 difficulties difficulty NNS 39713 2759 4 arise arise VBP 39713 2759 5 from from IN 39713 2759 6 the the DT 39713 2759 7 hypothesis hypothesis NN 39713 2759 8 of of IN 39713 2759 9 open open JJ 39713 2759 10 currents current NNS 39713 2759 11 . . . 39713 2760 1 IV IV NNP 39713 2760 2 . . . 39713 2761 1 MAXWELL MAXWELL NNP 39713 2761 2 'S 's POS 39713 2761 3 THEORY.--Such THEORY.--Such NNS 39713 2761 4 were be VBD 39713 2761 5 the the DT 39713 2761 6 difficulties difficulty NNS 39713 2761 7 raised raise VBN 39713 2761 8 by by IN 39713 2761 9 the the DT 39713 2761 10 dominant dominant JJ 39713 2761 11 theories theory NNS 39713 2761 12 when when WRB 39713 2761 13 Maxwell Maxwell NNP 39713 2761 14 appeared appear VBD 39713 2761 15 , , , 39713 2761 16 who who WP 39713 2761 17 with with IN 39713 2761 18 a a DT 39713 2761 19 stroke stroke NN 39713 2761 20 of of IN 39713 2761 21 the the DT 39713 2761 22 pen pen NN 39713 2761 23 made make VBD 39713 2761 24 them -PRON- PRP 39713 2761 25 all all DT 39713 2761 26 vanish vanish VB 39713 2761 27 . . . 39713 2762 1 To to IN 39713 2762 2 his -PRON- PRP$ 39713 2762 3 mind mind NN 39713 2762 4 , , , 39713 2762 5 in in IN 39713 2762 6 fact fact NN 39713 2762 7 , , , 39713 2762 8 all all DT 39713 2762 9 currents current NNS 39713 2762 10 are be VBP 39713 2762 11 closed close VBN 39713 2762 12 currents current NNS 39713 2762 13 . . . 39713 2763 1 Maxwell Maxwell NNP 39713 2763 2 assumes assume VBZ 39713 2763 3 that that IN 39713 2763 4 if if IN 39713 2763 5 in in IN 39713 2763 6 a a DT 39713 2763 7 dielectric dielectric NN 39713 2763 8 the the DT 39713 2763 9 electric electric JJ 39713 2763 10 field field NN 39713 2763 11 happens happen VBZ 39713 2763 12 to to TO 39713 2763 13 vary vary VB 39713 2763 14 , , , 39713 2763 15 this this DT 39713 2763 16 dielectric dielectric NN 39713 2763 17 becomes become VBZ 39713 2763 18 the the DT 39713 2763 19 seat seat NN 39713 2763 20 of of IN 39713 2763 21 a a DT 39713 2763 22 particular particular JJ 39713 2763 23 phenomenon phenomenon NN 39713 2763 24 , , , 39713 2763 25 acting act VBG 39713 2763 26 on on IN 39713 2763 27 the the DT 39713 2763 28 galvanometer galvanometer NN 39713 2763 29 like like IN 39713 2763 30 a a DT 39713 2763 31 current current NN 39713 2763 32 , , , 39713 2763 33 and and CC 39713 2763 34 which which WDT 39713 2763 35 he -PRON- PRP 39713 2763 36 calls call VBZ 39713 2763 37 _ _ NNP 39713 2763 38 current current NN 39713 2763 39 of of IN 39713 2763 40 displacement displacement NN 39713 2763 41 _ _ NNP 39713 2763 42 . . . 39713 2764 1 If if IN 39713 2764 2 then then RB 39713 2764 3 two two CD 39713 2764 4 conductors conductor NNS 39713 2764 5 bearing bear VBG 39713 2764 6 contrary contrary JJ 39713 2764 7 charges charge NNS 39713 2764 8 are be VBP 39713 2764 9 put put VBN 39713 2764 10 in in IN 39713 2764 11 communication communication NN 39713 2764 12 by by IN 39713 2764 13 a a DT 39713 2764 14 wire wire NN 39713 2764 15 , , , 39713 2764 16 in in IN 39713 2764 17 this this DT 39713 2764 18 wire wire NN 39713 2764 19 during during IN 39713 2764 20 the the DT 39713 2764 21 discharge discharge NN 39713 2764 22 there there EX 39713 2764 23 is be VBZ 39713 2764 24 an an DT 39713 2764 25 open open JJ 39713 2764 26 current current NN 39713 2764 27 of of IN 39713 2764 28 conduction conduction NN 39713 2764 29 ; ; , 39713 2764 30 but but CC 39713 2764 31 there there EX 39713 2764 32 are be VBP 39713 2764 33 produced produce VBN 39713 2764 34 at at IN 39713 2764 35 the the DT 39713 2764 36 same same JJ 39713 2764 37 time time NN 39713 2764 38 in in IN 39713 2764 39 the the DT 39713 2764 40 surrounding surround VBG 39713 2764 41 dielectric dielectric NN 39713 2764 42 , , , 39713 2764 43 currents current NNS 39713 2764 44 of of IN 39713 2764 45 displacement displacement NN 39713 2764 46 which which WDT 39713 2764 47 close close JJ 39713 2764 48 this this DT 39713 2764 49 current current NN 39713 2764 50 of of IN 39713 2764 51 conduction conduction NN 39713 2764 52 . . . 39713 2765 1 We -PRON- PRP 39713 2765 2 know know VBP 39713 2765 3 that that IN 39713 2765 4 Maxwell Maxwell NNP 39713 2765 5 's 's POS 39713 2765 6 theory theory NN 39713 2765 7 leads lead VBZ 39713 2765 8 to to IN 39713 2765 9 the the DT 39713 2765 10 explanation explanation NN 39713 2765 11 of of IN 39713 2765 12 optical optical JJ 39713 2765 13 phenomena phenomenon NNS 39713 2765 14 , , , 39713 2765 15 which which WDT 39713 2765 16 would would MD 39713 2765 17 be be VB 39713 2765 18 due due JJ 39713 2765 19 to to IN 39713 2765 20 extremely extremely RB 39713 2765 21 rapid rapid JJ 39713 2765 22 electrical electrical JJ 39713 2765 23 oscillations oscillation NNS 39713 2765 24 . . . 39713 2766 1 At at IN 39713 2766 2 that that DT 39713 2766 3 epoch epoch NN 39713 2766 4 such such PDT 39713 2766 5 a a DT 39713 2766 6 conception conception NN 39713 2766 7 was be VBD 39713 2766 8 only only RB 39713 2766 9 a a DT 39713 2766 10 bold bold JJ 39713 2766 11 hypothesis hypothesis NN 39713 2766 12 , , , 39713 2766 13 which which WDT 39713 2766 14 could could MD 39713 2766 15 be be VB 39713 2766 16 supported support VBN 39713 2766 17 by by IN 39713 2766 18 no no DT 39713 2766 19 experiment experiment NN 39713 2766 20 . . . 39713 2767 1 At at IN 39713 2767 2 the the DT 39713 2767 3 end end NN 39713 2767 4 of of IN 39713 2767 5 twenty twenty CD 39713 2767 6 years year NNS 39713 2767 7 , , , 39713 2767 8 Maxwell Maxwell NNP 39713 2767 9 's 's POS 39713 2767 10 ideas idea NNS 39713 2767 11 received receive VBD 39713 2767 12 the the DT 39713 2767 13 confirmation confirmation NN 39713 2767 14 of of IN 39713 2767 15 experiment experiment NN 39713 2767 16 . . . 39713 2768 1 Hertz Hertz NNP 39713 2768 2 succeeded succeed VBD 39713 2768 3 in in IN 39713 2768 4 producing produce VBG 39713 2768 5 systems system NNS 39713 2768 6 of of IN 39713 2768 7 electric electric JJ 39713 2768 8 oscillations oscillation NNS 39713 2768 9 which which WDT 39713 2768 10 reproduce reproduce VBP 39713 2768 11 all all PDT 39713 2768 12 the the DT 39713 2768 13 properties property NNS 39713 2768 14 of of IN 39713 2768 15 light light NN 39713 2768 16 , , , 39713 2768 17 and and CC 39713 2768 18 only only RB 39713 2768 19 differ differ VBP 39713 2768 20 from from IN 39713 2768 21 it -PRON- PRP 39713 2768 22 by by IN 39713 2768 23 the the DT 39713 2768 24 length length NN 39713 2768 25 of of IN 39713 2768 26 their -PRON- PRP$ 39713 2768 27 wave wave NN 39713 2768 28 ; ; : 39713 2768 29 that that DT 39713 2768 30 is be VBZ 39713 2768 31 to to TO 39713 2768 32 say say VB 39713 2768 33 as as IN 39713 2768 34 violet violet NN 39713 2768 35 differs differ VBZ 39713 2768 36 from from IN 39713 2768 37 red red NN 39713 2768 38 . . . 39713 2769 1 In in IN 39713 2769 2 some some DT 39713 2769 3 measure measure NN 39713 2769 4 he -PRON- PRP 39713 2769 5 made make VBD 39713 2769 6 the the DT 39713 2769 7 synthesis synthesis NN 39713 2769 8 of of IN 39713 2769 9 light light NN 39713 2769 10 . . . 39713 2770 1 It -PRON- PRP 39713 2770 2 might may MD 39713 2770 3 be be VB 39713 2770 4 said say VBN 39713 2770 5 that that IN 39713 2770 6 Hertz Hertz NNP 39713 2770 7 has have VBZ 39713 2770 8 not not RB 39713 2770 9 demonstrated demonstrate VBN 39713 2770 10 directly directly RB 39713 2770 11 Maxwell Maxwell NNP 39713 2770 12 's 's POS 39713 2770 13 fundamental fundamental JJ 39713 2770 14 idea idea NN 39713 2770 15 , , , 39713 2770 16 the the DT 39713 2770 17 action action NN 39713 2770 18 of of IN 39713 2770 19 the the DT 39713 2770 20 current current NN 39713 2770 21 of of IN 39713 2770 22 displacement displacement NN 39713 2770 23 on on IN 39713 2770 24 the the DT 39713 2770 25 galvanometer galvanometer NN 39713 2770 26 . . . 39713 2771 1 This this DT 39713 2771 2 is be VBZ 39713 2771 3 true true JJ 39713 2771 4 in in IN 39713 2771 5 a a DT 39713 2771 6 sense sense NN 39713 2771 7 . . . 39713 2772 1 What what WP 39713 2772 2 he -PRON- PRP 39713 2772 3 has have VBZ 39713 2772 4 shown show VBN 39713 2772 5 in in IN 39713 2772 6 sum sum NN 39713 2772 7 is be VBZ 39713 2772 8 that that IN 39713 2772 9 electromagnetic electromagnetic JJ 39713 2772 10 induction induction NN 39713 2772 11 is be VBZ 39713 2772 12 not not RB 39713 2772 13 propagated propagate VBN 39713 2772 14 instantaneously instantaneously RB 39713 2772 15 as as IN 39713 2772 16 was be VBD 39713 2772 17 supposed suppose VBN 39713 2772 18 ; ; : 39713 2772 19 but but CC 39713 2772 20 with with IN 39713 2772 21 the the DT 39713 2772 22 speed speed NN 39713 2772 23 of of IN 39713 2772 24 light light NN 39713 2772 25 . . . 39713 2773 1 But but CC 39713 2773 2 to to TO 39713 2773 3 suppose suppose VB 39713 2773 4 there there EX 39713 2773 5 is be VBZ 39713 2773 6 no no DT 39713 2773 7 current current NN 39713 2773 8 of of IN 39713 2773 9 displacement displacement NN 39713 2773 10 , , , 39713 2773 11 and and CC 39713 2773 12 induction induction NN 39713 2773 13 is be VBZ 39713 2773 14 propagated propagate VBN 39713 2773 15 with with IN 39713 2773 16 the the DT 39713 2773 17 speed speed NN 39713 2773 18 of of IN 39713 2773 19 light light NN 39713 2773 20 ; ; : 39713 2773 21 or or CC 39713 2773 22 to to TO 39713 2773 23 suppose suppose VB 39713 2773 24 that that IN 39713 2773 25 the the DT 39713 2773 26 currents current NNS 39713 2773 27 of of IN 39713 2773 28 displacement displacement NN 39713 2773 29 produce produce NN 39713 2773 30 effects effect NNS 39713 2773 31 of of IN 39713 2773 32 induction induction NN 39713 2773 33 , , , 39713 2773 34 and and CC 39713 2773 35 that that IN 39713 2773 36 the the DT 39713 2773 37 induction induction NN 39713 2773 38 is be VBZ 39713 2773 39 propagated propagate VBN 39713 2773 40 instantaneously instantaneously RB 39713 2773 41 , , , 39713 2773 42 _ _ NNP 39713 2773 43 comes come VBZ 39713 2773 44 to to IN 39713 2773 45 the the DT 39713 2773 46 same same JJ 39713 2773 47 thing thing NN 39713 2773 48 _ _ NNP 39713 2773 49 . . . 39713 2774 1 This this DT 39713 2774 2 can can MD 39713 2774 3 not not RB 39713 2774 4 be be VB 39713 2774 5 seen see VBN 39713 2774 6 at at IN 39713 2774 7 the the DT 39713 2774 8 first first JJ 39713 2774 9 glance glance NN 39713 2774 10 , , , 39713 2774 11 but but CC 39713 2774 12 it -PRON- PRP 39713 2774 13 is be VBZ 39713 2774 14 proved prove VBN 39713 2774 15 by by IN 39713 2774 16 an an DT 39713 2774 17 analysis analysis NN 39713 2774 18 of of IN 39713 2774 19 which which WDT 39713 2774 20 I -PRON- PRP 39713 2774 21 must must MD 39713 2774 22 not not RB 39713 2774 23 think think VB 39713 2774 24 of of IN 39713 2774 25 giving give VBG 39713 2774 26 even even RB 39713 2774 27 a a DT 39713 2774 28 summary summary NN 39713 2774 29 here here RB 39713 2774 30 . . . 39713 2775 1 V. V. NNP 39713 2775 2 ROWLAND ROWLAND NNP 39713 2775 3 'S be VBZ 39713 2775 4 EXPERIMENT.--But experiment.--but JJ 39713 2775 5 as as IN 39713 2775 6 I -PRON- PRP 39713 2775 7 have have VBP 39713 2775 8 said say VBD 39713 2775 9 above above RB 39713 2775 10 , , , 39713 2775 11 there there EX 39713 2775 12 are be VBP 39713 2775 13 two two CD 39713 2775 14 kinds kind NNS 39713 2775 15 of of IN 39713 2775 16 open open JJ 39713 2775 17 conduction conduction NN 39713 2775 18 currents current NNS 39713 2775 19 . . . 39713 2776 1 There there EX 39713 2776 2 are be VBP 39713 2776 3 first first JJ 39713 2776 4 the the DT 39713 2776 5 currents current NNS 39713 2776 6 of of IN 39713 2776 7 discharge discharge NN 39713 2776 8 of of IN 39713 2776 9 a a DT 39713 2776 10 condenser condenser NN 39713 2776 11 or or CC 39713 2776 12 of of IN 39713 2776 13 any any DT 39713 2776 14 conductor conductor NN 39713 2776 15 whatever whatever WDT 39713 2776 16 . . . 39713 2777 1 There there EX 39713 2777 2 are be VBP 39713 2777 3 also also RB 39713 2777 4 the the DT 39713 2777 5 cases case NNS 39713 2777 6 in in IN 39713 2777 7 which which WDT 39713 2777 8 electric electric JJ 39713 2777 9 discharges discharge NNS 39713 2777 10 describe describe VBP 39713 2777 11 a a DT 39713 2777 12 closed closed JJ 39713 2777 13 contour contour NN 39713 2777 14 , , , 39713 2777 15 being be VBG 39713 2777 16 displaced displace VBN 39713 2777 17 by by IN 39713 2777 18 conduction conduction NN 39713 2777 19 in in IN 39713 2777 20 one one CD 39713 2777 21 part part NN 39713 2777 22 of of IN 39713 2777 23 the the DT 39713 2777 24 circuit circuit NN 39713 2777 25 and and CC 39713 2777 26 by by IN 39713 2777 27 convection convection NN 39713 2777 28 in in IN 39713 2777 29 the the DT 39713 2777 30 other other JJ 39713 2777 31 part part NN 39713 2777 32 . . . 39713 2778 1 For for IN 39713 2778 2 open open JJ 39713 2778 3 currents current NNS 39713 2778 4 of of IN 39713 2778 5 the the DT 39713 2778 6 first first JJ 39713 2778 7 sort sort NN 39713 2778 8 , , , 39713 2778 9 the the DT 39713 2778 10 question question NN 39713 2778 11 might may MD 39713 2778 12 be be VB 39713 2778 13 considered consider VBN 39713 2778 14 as as IN 39713 2778 15 solved solve VBN 39713 2778 16 ; ; : 39713 2778 17 they -PRON- PRP 39713 2778 18 were be VBD 39713 2778 19 closed close VBN 39713 2778 20 by by IN 39713 2778 21 the the DT 39713 2778 22 currents current NNS 39713 2778 23 of of IN 39713 2778 24 displacement displacement NN 39713 2778 25 . . . 39713 2779 1 For for IN 39713 2779 2 open open JJ 39713 2779 3 currents current NNS 39713 2779 4 of of IN 39713 2779 5 the the DT 39713 2779 6 second second JJ 39713 2779 7 sort sort NN 39713 2779 8 , , , 39713 2779 9 the the DT 39713 2779 10 solution solution NN 39713 2779 11 appeared appear VBD 39713 2779 12 still still RB 39713 2779 13 more more RBR 39713 2779 14 simple simple JJ 39713 2779 15 . . . 39713 2780 1 It -PRON- PRP 39713 2780 2 seemed seem VBD 39713 2780 3 that that IN 39713 2780 4 if if IN 39713 2780 5 the the DT 39713 2780 6 current current NN 39713 2780 7 were be VBD 39713 2780 8 closed close VBN 39713 2780 9 , , , 39713 2780 10 it -PRON- PRP 39713 2780 11 could could MD 39713 2780 12 only only RB 39713 2780 13 be be VB 39713 2780 14 by by IN 39713 2780 15 the the DT 39713 2780 16 current current NN 39713 2780 17 of of IN 39713 2780 18 convection convection NN 39713 2780 19 itself -PRON- PRP 39713 2780 20 . . . 39713 2781 1 For for IN 39713 2781 2 that that DT 39713 2781 3 it -PRON- PRP 39713 2781 4 sufficed suffice VBD 39713 2781 5 to to TO 39713 2781 6 assume assume VB 39713 2781 7 that that IN 39713 2781 8 a a DT 39713 2781 9 ' ' `` 39713 2781 10 convection convection NN 39713 2781 11 current current NN 39713 2781 12 , , , 39713 2781 13 ' ' '' 39713 2781 14 that that DT 39713 2781 15 is be VBZ 39713 2781 16 to to TO 39713 2781 17 say say VB 39713 2781 18 a a DT 39713 2781 19 charged charge VBN 39713 2781 20 conductor conductor NN 39713 2781 21 in in IN 39713 2781 22 motion motion NN 39713 2781 23 , , , 39713 2781 24 could could MD 39713 2781 25 act act VB 39713 2781 26 on on IN 39713 2781 27 the the DT 39713 2781 28 galvanometer galvanometer NN 39713 2781 29 . . . 39713 2782 1 But but CC 39713 2782 2 experimental experimental JJ 39713 2782 3 confirmation confirmation NN 39713 2782 4 was be VBD 39713 2782 5 lacking lack VBG 39713 2782 6 . . . 39713 2783 1 It -PRON- PRP 39713 2783 2 appeared appear VBD 39713 2783 3 difficult difficult JJ 39713 2783 4 in in IN 39713 2783 5 fact fact NN 39713 2783 6 to to TO 39713 2783 7 obtain obtain VB 39713 2783 8 a a DT 39713 2783 9 sufficient sufficient JJ 39713 2783 10 intensity intensity NN 39713 2783 11 even even RB 39713 2783 12 by by IN 39713 2783 13 augmenting augment VBG 39713 2783 14 as as RB 39713 2783 15 much much RB 39713 2783 16 as as IN 39713 2783 17 possible possible JJ 39713 2783 18 the the DT 39713 2783 19 charge charge NN 39713 2783 20 and and CC 39713 2783 21 the the DT 39713 2783 22 velocity velocity NN 39713 2783 23 of of IN 39713 2783 24 the the DT 39713 2783 25 conductors conductor NNS 39713 2783 26 . . . 39713 2784 1 It -PRON- PRP 39713 2784 2 was be VBD 39713 2784 3 Rowland Rowland NNP 39713 2784 4 , , , 39713 2784 5 an an DT 39713 2784 6 extremely extremely RB 39713 2784 7 skillful skillful JJ 39713 2784 8 experimenter experimenter NN 39713 2784 9 , , , 39713 2784 10 who who WP 39713 2784 11 first first RB 39713 2784 12 triumphed triumph VBD 39713 2784 13 over over IN 39713 2784 14 these these DT 39713 2784 15 difficulties difficulty NNS 39713 2784 16 . . . 39713 2785 1 A a DT 39713 2785 2 disc disc NN 39713 2785 3 received receive VBD 39713 2785 4 a a DT 39713 2785 5 strong strong JJ 39713 2785 6 electrostatic electrostatic JJ 39713 2785 7 charge charge NN 39713 2785 8 and and CC 39713 2785 9 a a DT 39713 2785 10 very very RB 39713 2785 11 great great JJ 39713 2785 12 speed speed NN 39713 2785 13 of of IN 39713 2785 14 rotation rotation NN 39713 2785 15 . . . 39713 2786 1 An an DT 39713 2786 2 astatic astatic JJ 39713 2786 3 magnetic magnetic JJ 39713 2786 4 system system NN 39713 2786 5 placed place VBN 39713 2786 6 beside beside IN 39713 2786 7 the the DT 39713 2786 8 disc disc NN 39713 2786 9 underwent underwent JJ 39713 2786 10 deviations deviation NNS 39713 2786 11 . . . 39713 2787 1 The the DT 39713 2787 2 experiment experiment NN 39713 2787 3 was be VBD 39713 2787 4 made make VBN 39713 2787 5 twice twice RB 39713 2787 6 by by IN 39713 2787 7 Rowland Rowland NNP 39713 2787 8 , , , 39713 2787 9 once once RB 39713 2787 10 in in IN 39713 2787 11 Berlin Berlin NNP 39713 2787 12 , , , 39713 2787 13 once once RB 39713 2787 14 in in IN 39713 2787 15 Baltimore Baltimore NNP 39713 2787 16 . . . 39713 2788 1 It -PRON- PRP 39713 2788 2 was be VBD 39713 2788 3 afterwards afterwards RB 39713 2788 4 repeated repeat VBN 39713 2788 5 by by IN 39713 2788 6 Himstedt Himstedt NNP 39713 2788 7 . . . 39713 2789 1 These these DT 39713 2789 2 physicists physicist NNS 39713 2789 3 even even RB 39713 2789 4 announced announce VBD 39713 2789 5 that that IN 39713 2789 6 they -PRON- PRP 39713 2789 7 had have VBD 39713 2789 8 succeeded succeed VBN 39713 2789 9 in in IN 39713 2789 10 making make VBG 39713 2789 11 quantitative quantitative JJ 39713 2789 12 measurements measurement NNS 39713 2789 13 . . . 39713 2790 1 In in IN 39713 2790 2 fact fact NN 39713 2790 3 , , , 39713 2790 4 for for IN 39713 2790 5 twenty twenty CD 39713 2790 6 years year NNS 39713 2790 7 Rowland Rowland NNP 39713 2790 8 's 's POS 39713 2790 9 law law NN 39713 2790 10 was be VBD 39713 2790 11 admitted admit VBN 39713 2790 12 without without IN 39713 2790 13 objection objection NN 39713 2790 14 by by IN 39713 2790 15 all all DT 39713 2790 16 physicists physicist NNS 39713 2790 17 . . . 39713 2791 1 Besides besides IN 39713 2791 2 everything everything NN 39713 2791 3 seemed seem VBD 39713 2791 4 to to TO 39713 2791 5 confirm confirm VB 39713 2791 6 it -PRON- PRP 39713 2791 7 . . . 39713 2792 1 The the DT 39713 2792 2 spark spark NN 39713 2792 3 certainly certainly RB 39713 2792 4 does do VBZ 39713 2792 5 produce produce VB 39713 2792 6 a a DT 39713 2792 7 magnetic magnetic JJ 39713 2792 8 effect effect NN 39713 2792 9 . . . 39713 2793 1 Now now RB 39713 2793 2 does do VBZ 39713 2793 3 it -PRON- PRP 39713 2793 4 not not RB 39713 2793 5 seem seem VB 39713 2793 6 probable probable JJ 39713 2793 7 that that IN 39713 2793 8 the the DT 39713 2793 9 discharge discharge NN 39713 2793 10 by by IN 39713 2793 11 spark spark NN 39713 2793 12 is be VBZ 39713 2793 13 due due JJ 39713 2793 14 to to IN 39713 2793 15 particles particle NNS 39713 2793 16 taken take VBN 39713 2793 17 from from IN 39713 2793 18 one one CD 39713 2793 19 of of IN 39713 2793 20 the the DT 39713 2793 21 electrodes electrode NNS 39713 2793 22 and and CC 39713 2793 23 transferred transfer VBN 39713 2793 24 to to IN 39713 2793 25 the the DT 39713 2793 26 other other JJ 39713 2793 27 electrode electrode NN 39713 2793 28 with with IN 39713 2793 29 their -PRON- PRP$ 39713 2793 30 charge charge NN 39713 2793 31 ? ? . 39713 2794 1 Is be VBZ 39713 2794 2 not not RB 39713 2794 3 the the DT 39713 2794 4 very very JJ 39713 2794 5 spectrum spectrum NN 39713 2794 6 of of IN 39713 2794 7 the the DT 39713 2794 8 spark spark NN 39713 2794 9 , , , 39713 2794 10 in in IN 39713 2794 11 which which WDT 39713 2794 12 we -PRON- PRP 39713 2794 13 recognize recognize VBP 39713 2794 14 the the DT 39713 2794 15 lines line NNS 39713 2794 16 of of IN 39713 2794 17 the the DT 39713 2794 18 metal metal NN 39713 2794 19 of of IN 39713 2794 20 the the DT 39713 2794 21 electrode electrode NN 39713 2794 22 , , , 39713 2794 23 a a DT 39713 2794 24 proof proof NN 39713 2794 25 of of IN 39713 2794 26 it -PRON- PRP 39713 2794 27 ? ? . 39713 2795 1 The the DT 39713 2795 2 spark spark NN 39713 2795 3 would would MD 39713 2795 4 then then RB 39713 2795 5 be be VB 39713 2795 6 a a DT 39713 2795 7 veritable veritable JJ 39713 2795 8 current current NN 39713 2795 9 of of IN 39713 2795 10 convection convection NN 39713 2795 11 . . . 39713 2796 1 On on IN 39713 2796 2 the the DT 39713 2796 3 other other JJ 39713 2796 4 hand hand NN 39713 2796 5 , , , 39713 2796 6 it -PRON- PRP 39713 2796 7 is be VBZ 39713 2796 8 also also RB 39713 2796 9 admitted admit VBN 39713 2796 10 that that IN 39713 2796 11 in in IN 39713 2796 12 an an DT 39713 2796 13 electrolyte electrolyte NNP 39713 2796 14 the the DT 39713 2796 15 electricity electricity NN 39713 2796 16 is be VBZ 39713 2796 17 carried carry VBN 39713 2796 18 by by IN 39713 2796 19 the the DT 39713 2796 20 ions ion NNS 39713 2796 21 in in IN 39713 2796 22 motion motion NN 39713 2796 23 . . . 39713 2797 1 The the DT 39713 2797 2 current current NN 39713 2797 3 in in IN 39713 2797 4 an an DT 39713 2797 5 electrolyte electrolyte NN 39713 2797 6 would would MD 39713 2797 7 therefore therefore RB 39713 2797 8 be be VB 39713 2797 9 also also RB 39713 2797 10 a a DT 39713 2797 11 current current NN 39713 2797 12 of of IN 39713 2797 13 convection convection NN 39713 2797 14 ; ; : 39713 2797 15 now now RB 39713 2797 16 , , , 39713 2797 17 it -PRON- PRP 39713 2797 18 acts act VBZ 39713 2797 19 on on IN 39713 2797 20 the the DT 39713 2797 21 magnetic magnetic JJ 39713 2797 22 needle needle NN 39713 2797 23 . . . 39713 2798 1 The the DT 39713 2798 2 same same JJ 39713 2798 3 for for IN 39713 2798 4 cathode cathode NN 39713 2798 5 rays ray NNS 39713 2798 6 . . . 39713 2799 1 Crookes crooke NNS 39713 2799 2 attributed attribute VBD 39713 2799 3 these these DT 39713 2799 4 rays ray NNS 39713 2799 5 to to IN 39713 2799 6 a a DT 39713 2799 7 very very RB 39713 2799 8 subtile subtile NN 39713 2799 9 matter matter NN 39713 2799 10 charged charge VBN 39713 2799 11 with with IN 39713 2799 12 electricity electricity NN 39713 2799 13 and and CC 39713 2799 14 moving move VBG 39713 2799 15 with with IN 39713 2799 16 a a DT 39713 2799 17 very very RB 39713 2799 18 great great JJ 39713 2799 19 velocity velocity NN 39713 2799 20 . . . 39713 2800 1 He -PRON- PRP 39713 2800 2 regarded regard VBD 39713 2800 3 them -PRON- PRP 39713 2800 4 , , , 39713 2800 5 in in IN 39713 2800 6 other other JJ 39713 2800 7 words word NNS 39713 2800 8 , , , 39713 2800 9 as as IN 39713 2800 10 currents current NNS 39713 2800 11 of of IN 39713 2800 12 convection convection NN 39713 2800 13 . . . 39713 2801 1 Now now RB 39713 2801 2 these these DT 39713 2801 3 cathode cathode NN 39713 2801 4 rays ray NNS 39713 2801 5 are be VBP 39713 2801 6 deviated deviate VBN 39713 2801 7 by by IN 39713 2801 8 the the DT 39713 2801 9 magnet magnet NN 39713 2801 10 . . . 39713 2802 1 In in IN 39713 2802 2 virtue virtue NN 39713 2802 3 of of IN 39713 2802 4 the the DT 39713 2802 5 principle principle NN 39713 2802 6 of of IN 39713 2802 7 action action NN 39713 2802 8 and and CC 39713 2802 9 reaction reaction NN 39713 2802 10 , , , 39713 2802 11 they -PRON- PRP 39713 2802 12 should should MD 39713 2802 13 in in IN 39713 2802 14 turn turn NN 39713 2802 15 deviate deviate VB 39713 2802 16 the the DT 39713 2802 17 magnetic magnetic JJ 39713 2802 18 needle needle NN 39713 2802 19 . . . 39713 2803 1 It -PRON- PRP 39713 2803 2 is be VBZ 39713 2803 3 true true JJ 39713 2803 4 that that IN 39713 2803 5 Hertz Hertz NNP 39713 2803 6 believed believe VBD 39713 2803 7 he -PRON- PRP 39713 2803 8 had have VBD 39713 2803 9 demonstrated demonstrate VBN 39713 2803 10 that that IN 39713 2803 11 the the DT 39713 2803 12 cathode cathode NN 39713 2803 13 rays ray NNS 39713 2803 14 do do VBP 39713 2803 15 not not RB 39713 2803 16 carry carry VB 39713 2803 17 electricity electricity NN 39713 2803 18 , , , 39713 2803 19 and and CC 39713 2803 20 that that IN 39713 2803 21 they -PRON- PRP 39713 2803 22 do do VBP 39713 2803 23 not not RB 39713 2803 24 act act VB 39713 2803 25 on on IN 39713 2803 26 the the DT 39713 2803 27 magnetic magnetic JJ 39713 2803 28 needle needle NN 39713 2803 29 . . . 39713 2804 1 But but CC 39713 2804 2 Hertz Hertz NNP 39713 2804 3 was be VBD 39713 2804 4 mistaken mistaken JJ 39713 2804 5 . . . 39713 2805 1 First first RB 39713 2805 2 of of IN 39713 2805 3 all all DT 39713 2805 4 , , , 39713 2805 5 Perrin Perrin NNP 39713 2805 6 succeeded succeed VBD 39713 2805 7 in in IN 39713 2805 8 collecting collect VBG 39713 2805 9 the the DT 39713 2805 10 electricity electricity NN 39713 2805 11 carried carry VBN 39713 2805 12 by by IN 39713 2805 13 these these DT 39713 2805 14 rays ray NNS 39713 2805 15 , , , 39713 2805 16 electricity electricity NN 39713 2805 17 of of IN 39713 2805 18 which which WDT 39713 2805 19 Hertz Hertz NNP 39713 2805 20 denied deny VBD 39713 2805 21 the the DT 39713 2805 22 existence existence NN 39713 2805 23 ; ; : 39713 2805 24 the the DT 39713 2805 25 German german JJ 39713 2805 26 scientist scientist NN 39713 2805 27 appears appear VBZ 39713 2805 28 to to TO 39713 2805 29 have have VB 39713 2805 30 been be VBN 39713 2805 31 deceived deceive VBN 39713 2805 32 by by IN 39713 2805 33 effects effect NNS 39713 2805 34 due due IN 39713 2805 35 to to IN 39713 2805 36 the the DT 39713 2805 37 action action NN 39713 2805 38 of of IN 39713 2805 39 X X NNS 39713 2805 40 - - NNS 39713 2805 41 rays ray NNS 39713 2805 42 , , , 39713 2805 43 which which WDT 39713 2805 44 were be VBD 39713 2805 45 not not RB 39713 2805 46 yet yet RB 39713 2805 47 discovered discover VBN 39713 2805 48 . . . 39713 2806 1 Afterwards afterwards RB 39713 2806 2 , , , 39713 2806 3 and and CC 39713 2806 4 quite quite RB 39713 2806 5 recently recently RB 39713 2806 6 , , , 39713 2806 7 the the DT 39713 2806 8 action action NN 39713 2806 9 of of IN 39713 2806 10 the the DT 39713 2806 11 cathode cathode NN 39713 2806 12 rays ray NNS 39713 2806 13 on on IN 39713 2806 14 the the DT 39713 2806 15 magnetic magnetic JJ 39713 2806 16 needle needle NN 39713 2806 17 has have VBZ 39713 2806 18 been be VBN 39713 2806 19 put put VBN 39713 2806 20 in in IN 39713 2806 21 evidence evidence NN 39713 2806 22 . . . 39713 2807 1 Thus thus RB 39713 2807 2 all all PDT 39713 2807 3 these these DT 39713 2807 4 phenomena phenomenon NNS 39713 2807 5 regarded regard VBD 39713 2807 6 as as IN 39713 2807 7 currents current NNS 39713 2807 8 of of IN 39713 2807 9 convection convection NN 39713 2807 10 , , , 39713 2807 11 sparks spark NNS 39713 2807 12 , , , 39713 2807 13 electrolytic electrolytic JJ 39713 2807 14 currents current NNS 39713 2807 15 , , , 39713 2807 16 cathode cathode NN 39713 2807 17 rays ray NNS 39713 2807 18 , , , 39713 2807 19 act act VB 39713 2807 20 in in IN 39713 2807 21 the the DT 39713 2807 22 same same JJ 39713 2807 23 manner manner NN 39713 2807 24 on on IN 39713 2807 25 the the DT 39713 2807 26 galvanometer galvanometer NN 39713 2807 27 and and CC 39713 2807 28 in in IN 39713 2807 29 conformity conformity NN 39713 2807 30 with with IN 39713 2807 31 Rowland Rowland NNP 39713 2807 32 's 's POS 39713 2807 33 law law NN 39713 2807 34 . . . 39713 2808 1 VI VI NNP 39713 2808 2 . . . 39713 2809 1 THEORY THEORY NNP 39713 2809 2 OF of IN 39713 2809 3 LORENTZ.--We LORENTZ.--We NNP 39713 2809 4 soon soon RB 39713 2809 5 went go VBD 39713 2809 6 farther farther RB 39713 2809 7 . . . 39713 2810 1 According accord VBG 39713 2810 2 to to IN 39713 2810 3 the the DT 39713 2810 4 theory theory NN 39713 2810 5 of of IN 39713 2810 6 Lorentz Lorentz NNP 39713 2810 7 , , , 39713 2810 8 currents current NNS 39713 2810 9 of of IN 39713 2810 10 conduction conduction NN 39713 2810 11 themselves -PRON- PRP 39713 2810 12 would would MD 39713 2810 13 be be VB 39713 2810 14 true true JJ 39713 2810 15 currents current NNS 39713 2810 16 of of IN 39713 2810 17 convection convection NN 39713 2810 18 . . . 39713 2811 1 Electricity electricity NN 39713 2811 2 would would MD 39713 2811 3 remain remain VB 39713 2811 4 inseparably inseparably RB 39713 2811 5 connected connect VBN 39713 2811 6 with with IN 39713 2811 7 certain certain JJ 39713 2811 8 material material NN 39713 2811 9 particles particle NNS 39713 2811 10 called call VBN 39713 2811 11 _ _ NNP 39713 2811 12 electrons electron NNS 39713 2811 13 _ _ NNP 39713 2811 14 . . . 39713 2812 1 The the DT 39713 2812 2 circulation circulation NN 39713 2812 3 of of IN 39713 2812 4 these these DT 39713 2812 5 electrons electron NNS 39713 2812 6 through through IN 39713 2812 7 bodies body NNS 39713 2812 8 would would MD 39713 2812 9 produce produce VB 39713 2812 10 voltaic voltaic NNP 39713 2812 11 currents current NNS 39713 2812 12 . . . 39713 2813 1 And and CC 39713 2813 2 what what WP 39713 2813 3 would would MD 39713 2813 4 distinguish distinguish VB 39713 2813 5 conductors conductor NNS 39713 2813 6 from from IN 39713 2813 7 insulators insulator NNS 39713 2813 8 would would MD 39713 2813 9 be be VB 39713 2813 10 that that IN 39713 2813 11 the the DT 39713 2813 12 one one NN 39713 2813 13 could could MD 39713 2813 14 be be VB 39713 2813 15 traversed traverse VBN 39713 2813 16 by by IN 39713 2813 17 these these DT 39713 2813 18 electrons electron NNS 39713 2813 19 while while IN 39713 2813 20 the the DT 39713 2813 21 others other NNS 39713 2813 22 would would MD 39713 2813 23 arrest arrest VB 39713 2813 24 their -PRON- PRP$ 39713 2813 25 movements movement NNS 39713 2813 26 . . . 39713 2814 1 The the DT 39713 2814 2 theory theory NN 39713 2814 3 of of IN 39713 2814 4 Lorentz Lorentz NNP 39713 2814 5 is be VBZ 39713 2814 6 very very RB 39713 2814 7 attractive attractive JJ 39713 2814 8 . . . 39713 2815 1 It -PRON- PRP 39713 2815 2 gives give VBZ 39713 2815 3 a a DT 39713 2815 4 very very RB 39713 2815 5 simple simple JJ 39713 2815 6 explanation explanation NN 39713 2815 7 of of IN 39713 2815 8 certain certain JJ 39713 2815 9 phenomena phenomenon NNS 39713 2815 10 which which WDT 39713 2815 11 the the DT 39713 2815 12 earlier early JJR 39713 2815 13 theories theory NNS 39713 2815 14 , , , 39713 2815 15 even even RB 39713 2815 16 Maxwell Maxwell NNP 39713 2815 17 's be VBZ 39713 2815 18 in in IN 39713 2815 19 its -PRON- PRP$ 39713 2815 20 primitive primitive JJ 39713 2815 21 form form NN 39713 2815 22 , , , 39713 2815 23 could could MD 39713 2815 24 not not RB 39713 2815 25 explain explain VB 39713 2815 26 in in IN 39713 2815 27 a a DT 39713 2815 28 satisfactory satisfactory JJ 39713 2815 29 way way NN 39713 2815 30 ; ; : 39713 2815 31 for for IN 39713 2815 32 example example NN 39713 2815 33 , , , 39713 2815 34 the the DT 39713 2815 35 aberration aberration NN 39713 2815 36 of of IN 39713 2815 37 light light NN 39713 2815 38 , , , 39713 2815 39 the the DT 39713 2815 40 partial partial JJ 39713 2815 41 carrying carry VBG 39713 2815 42 away away RB 39713 2815 43 of of IN 39713 2815 44 luminous luminous JJ 39713 2815 45 waves wave NNS 39713 2815 46 , , , 39713 2815 47 magnetic magnetic JJ 39713 2815 48 polarization polarization NN 39713 2815 49 and and CC 39713 2815 50 the the DT 39713 2815 51 Zeeman Zeeman NNP 39713 2815 52 effect effect NN 39713 2815 53 . . . 39713 2816 1 Some some DT 39713 2816 2 objections objection NNS 39713 2816 3 still still RB 39713 2816 4 remained remain VBD 39713 2816 5 . . . 39713 2817 1 The the DT 39713 2817 2 phenomena phenomenon NNS 39713 2817 3 of of IN 39713 2817 4 an an DT 39713 2817 5 electric electric JJ 39713 2817 6 system system NN 39713 2817 7 seemed seem VBD 39713 2817 8 to to TO 39713 2817 9 depend depend VB 39713 2817 10 on on IN 39713 2817 11 the the DT 39713 2817 12 absolute absolute JJ 39713 2817 13 velocity velocity NN 39713 2817 14 of of IN 39713 2817 15 translation translation NN 39713 2817 16 of of IN 39713 2817 17 the the DT 39713 2817 18 center center NN 39713 2817 19 of of IN 39713 2817 20 gravity gravity NN 39713 2817 21 of of IN 39713 2817 22 this this DT 39713 2817 23 system system NN 39713 2817 24 , , , 39713 2817 25 which which WDT 39713 2817 26 is be VBZ 39713 2817 27 contrary contrary JJ 39713 2817 28 to to IN 39713 2817 29 the the DT 39713 2817 30 idea idea NN 39713 2817 31 we -PRON- PRP 39713 2817 32 have have VBP 39713 2817 33 of of IN 39713 2817 34 the the DT 39713 2817 35 relativity relativity NN 39713 2817 36 of of IN 39713 2817 37 space space NN 39713 2817 38 . . . 39713 2818 1 Supported support VBN 39713 2818 2 by by IN 39713 2818 3 M. M. NNP 39713 2818 4 Crémieu Crémieu NNP 39713 2818 5 , , , 39713 2818 6 M. M. NNP 39713 2818 7 Lippmann Lippmann NNP 39713 2818 8 has have VBZ 39713 2818 9 presented present VBN 39713 2818 10 this this DT 39713 2818 11 objection objection NN 39713 2818 12 in in IN 39713 2818 13 a a DT 39713 2818 14 striking striking JJ 39713 2818 15 form form NN 39713 2818 16 . . . 39713 2819 1 Imagine imagine VB 39713 2819 2 two two CD 39713 2819 3 charged charge VBN 39713 2819 4 conductors conductor NNS 39713 2819 5 with with IN 39713 2819 6 the the DT 39713 2819 7 same same JJ 39713 2819 8 velocity velocity NN 39713 2819 9 of of IN 39713 2819 10 translation translation NN 39713 2819 11 ; ; : 39713 2819 12 they -PRON- PRP 39713 2819 13 are be VBP 39713 2819 14 relatively relatively RB 39713 2819 15 at at IN 39713 2819 16 rest rest NN 39713 2819 17 . . . 39713 2820 1 However however RB 39713 2820 2 , , , 39713 2820 3 each each DT 39713 2820 4 of of IN 39713 2820 5 them -PRON- PRP 39713 2820 6 being be VBG 39713 2820 7 equivalent equivalent JJ 39713 2820 8 to to IN 39713 2820 9 a a DT 39713 2820 10 current current NN 39713 2820 11 of of IN 39713 2820 12 convection convection NN 39713 2820 13 , , , 39713 2820 14 they -PRON- PRP 39713 2820 15 ought ought MD 39713 2820 16 to to TO 39713 2820 17 attract attract VB 39713 2820 18 one one CD 39713 2820 19 another another DT 39713 2820 20 , , , 39713 2820 21 and and CC 39713 2820 22 by by IN 39713 2820 23 measuring measure VBG 39713 2820 24 this this DT 39713 2820 25 attraction attraction NN 39713 2820 26 we -PRON- PRP 39713 2820 27 could could MD 39713 2820 28 measure measure VB 39713 2820 29 their -PRON- PRP$ 39713 2820 30 absolute absolute JJ 39713 2820 31 velocity velocity NN 39713 2820 32 . . . 39713 2821 1 " " `` 39713 2821 2 No no UH 39713 2821 3 ! ! . 39713 2821 4 " " '' 39713 2822 1 replied reply VBD 39713 2822 2 the the DT 39713 2822 3 partisans partisan NNS 39713 2822 4 of of IN 39713 2822 5 Lorentz Lorentz NNP 39713 2822 6 . . . 39713 2823 1 " " `` 39713 2823 2 What what WP 39713 2823 3 we -PRON- PRP 39713 2823 4 could could MD 39713 2823 5 measure measure VB 39713 2823 6 in in IN 39713 2823 7 that that DT 39713 2823 8 way way NN 39713 2823 9 is be VBZ 39713 2823 10 not not RB 39713 2823 11 their -PRON- PRP$ 39713 2823 12 absolute absolute JJ 39713 2823 13 velocity velocity NN 39713 2823 14 , , , 39713 2823 15 but but CC 39713 2823 16 their -PRON- PRP$ 39713 2823 17 relative relative JJ 39713 2823 18 velocity velocity NN 39713 2823 19 _ _ NNP 39713 2823 20 with with IN 39713 2823 21 respect respect NN 39713 2823 22 to to IN 39713 2823 23 the the DT 39713 2823 24 ether ether NN 39713 2823 25 _ _ NNP 39713 2823 26 , , , 39713 2823 27 so so IN 39713 2823 28 that that IN 39713 2823 29 the the DT 39713 2823 30 principle principle NN 39713 2823 31 of of IN 39713 2823 32 relativity relativity NN 39713 2823 33 is be VBZ 39713 2823 34 safe safe JJ 39713 2823 35 . . . 39713 2823 36 " " '' 39713 2824 1 Whatever whatever WDT 39713 2824 2 there there EX 39713 2824 3 may may MD 39713 2824 4 be be VB 39713 2824 5 in in IN 39713 2824 6 these these DT 39713 2824 7 latter latter JJ 39713 2824 8 objections objection NNS 39713 2824 9 , , , 39713 2824 10 the the DT 39713 2824 11 edifice edifice NN 39713 2824 12 of of IN 39713 2824 13 electrodynamics electrodynamic NNS 39713 2824 14 , , , 39713 2824 15 at at IN 39713 2824 16 least least JJS 39713 2824 17 in in IN 39713 2824 18 its -PRON- PRP$ 39713 2824 19 broad broad JJ 39713 2824 20 lines line NNS 39713 2824 21 , , , 39713 2824 22 seemed seem VBD 39713 2824 23 definitively definitively RB 39713 2824 24 constructed construct VBN 39713 2824 25 . . . 39713 2825 1 Everything everything NN 39713 2825 2 was be VBD 39713 2825 3 presented present VBN 39713 2825 4 under under IN 39713 2825 5 the the DT 39713 2825 6 most most RBS 39713 2825 7 satisfactory satisfactory JJ 39713 2825 8 aspect aspect NN 39713 2825 9 . . . 39713 2826 1 The the DT 39713 2826 2 theories theory NNS 39713 2826 3 of of IN 39713 2826 4 Ampère Ampère NNP 39713 2826 5 and and CC 39713 2826 6 of of IN 39713 2826 7 Helmholtz Helmholtz NNP 39713 2826 8 , , , 39713 2826 9 made make VBN 39713 2826 10 for for IN 39713 2826 11 open open JJ 39713 2826 12 currents current NNS 39713 2826 13 which which WDT 39713 2826 14 no no RB 39713 2826 15 longer long RBR 39713 2826 16 existed exist VBD 39713 2826 17 , , , 39713 2826 18 seemed seem VBD 39713 2826 19 to to TO 39713 2826 20 have have VB 39713 2826 21 no no DT 39713 2826 22 longer long JJR 39713 2826 23 anything anything NN 39713 2826 24 but but IN 39713 2826 25 a a DT 39713 2826 26 purely purely RB 39713 2826 27 historic historic JJ 39713 2826 28 interest interest NN 39713 2826 29 , , , 39713 2826 30 and and CC 39713 2826 31 the the DT 39713 2826 32 inextricable inextricable JJ 39713 2826 33 complications complication NNS 39713 2826 34 to to TO 39713 2826 35 which which WDT 39713 2826 36 these these DT 39713 2826 37 theories theory NNS 39713 2826 38 led lead VBD 39713 2826 39 were be VBD 39713 2826 40 almost almost RB 39713 2826 41 forgotten forget VBN 39713 2826 42 . . . 39713 2827 1 This this DT 39713 2827 2 quiescence quiescence NN 39713 2827 3 has have VBZ 39713 2827 4 been be VBN 39713 2827 5 recently recently RB 39713 2827 6 disturbed disturb VBN 39713 2827 7 by by IN 39713 2827 8 the the DT 39713 2827 9 experiments experiment NNS 39713 2827 10 of of IN 39713 2827 11 M. M. NNP 39713 2827 12 Crémieu Crémieu NNP 39713 2827 13 , , , 39713 2827 14 which which WDT 39713 2827 15 for for IN 39713 2827 16 a a DT 39713 2827 17 moment moment NN 39713 2827 18 seemed seem VBD 39713 2827 19 to to TO 39713 2827 20 contradict contradict VB 39713 2827 21 the the DT 39713 2827 22 result result NN 39713 2827 23 previously previously RB 39713 2827 24 obtained obtain VBN 39713 2827 25 by by IN 39713 2827 26 Rowland Rowland NNP 39713 2827 27 . . . 39713 2828 1 But but CC 39713 2828 2 fresh fresh JJ 39713 2828 3 researches research NNS 39713 2828 4 have have VBP 39713 2828 5 not not RB 39713 2828 6 confirmed confirm VBN 39713 2828 7 them -PRON- PRP 39713 2828 8 , , , 39713 2828 9 and and CC 39713 2828 10 the the DT 39713 2828 11 theory theory NN 39713 2828 12 of of IN 39713 2828 13 Lorentz Lorentz NNP 39713 2828 14 has have VBZ 39713 2828 15 victoriously victoriously RB 39713 2828 16 stood stand VBN 39713 2828 17 the the DT 39713 2828 18 test test NN 39713 2828 19 . . . 39713 2829 1 The the DT 39713 2829 2 history history NN 39713 2829 3 of of IN 39713 2829 4 these these DT 39713 2829 5 variations variation NNS 39713 2829 6 will will MD 39713 2829 7 be be VB 39713 2829 8 none none NN 39713 2829 9 the the DT 39713 2829 10 less less RBR 39713 2829 11 instructive instructive JJ 39713 2829 12 ; ; : 39713 2829 13 it -PRON- PRP 39713 2829 14 will will MD 39713 2829 15 teach teach VB 39713 2829 16 us -PRON- PRP 39713 2829 17 to to IN 39713 2829 18 what what WP 39713 2829 19 pitfalls pitfall VBZ 39713 2829 20 the the DT 39713 2829 21 scientist scientist NN 39713 2829 22 is be VBZ 39713 2829 23 exposed expose VBN 39713 2829 24 , , , 39713 2829 25 and and CC 39713 2829 26 how how WRB 39713 2829 27 he -PRON- PRP 39713 2829 28 may may MD 39713 2829 29 hope hope VB 39713 2829 30 to to TO 39713 2829 31 escape escape VB 39713 2829 32 them -PRON- PRP 39713 2829 33 . . . 39713 2830 1 * * NFP 39713 2830 2 * * NFP 39713 2830 3 * * NFP 39713 2830 4 * * NFP 39713 2830 5 * * NFP 39713 2830 6 THE the DT 39713 2830 7 VALUE value NN 39713 2830 8 OF of IN 39713 2830 9 SCIENCE science NN 39713 2830 10 * * NFP 39713 2830 11 * * NFP 39713 2830 12 * * NFP 39713 2830 13 * * NFP 39713 2830 14 * * NFP 39713 2830 15 TRANSLATOR TRANSLATOR NNP 39713 2830 16 'S 's POS 39713 2830 17 INTRODUCTION introduction NN 39713 2830 18 1 1 CD 39713 2830 19 . . . 39713 2831 1 _ _ NNP 39713 2831 2 Does do VBZ 39713 2831 3 the the DT 39713 2831 4 Scientist Scientist NNP 39713 2831 5 create create VB 39713 2831 6 Science?_--Professor Science?_--Professor NNP 39713 2831 7 Rados Rados NNP 39713 2831 8 of of IN 39713 2831 9 Budapest Budapest NNP 39713 2831 10 in in IN 39713 2831 11 his -PRON- PRP$ 39713 2831 12 report report NN 39713 2831 13 to to IN 39713 2831 14 the the DT 39713 2831 15 Hungarian Hungarian NNP 39713 2831 16 Academy Academy NNP 39713 2831 17 of of IN 39713 2831 18 Science Science NNP 39713 2831 19 on on IN 39713 2831 20 the the DT 39713 2831 21 award award NN 39713 2831 22 to to IN 39713 2831 23 Poincaré Poincaré NNP 39713 2831 24 of of IN 39713 2831 25 the the DT 39713 2831 26 Bolyai Bolyai NNP 39713 2831 27 prize prize NN 39713 2831 28 of of IN 39713 2831 29 ten ten CD 39713 2831 30 thousand thousand CD 39713 2831 31 crowns crown NNS 39713 2831 32 , , , 39713 2831 33 speaking speak VBG 39713 2831 34 of of IN 39713 2831 35 him -PRON- PRP 39713 2831 36 as as RB 39713 2831 37 unquestionably unquestionably RB 39713 2831 38 the the DT 39713 2831 39 most most RBS 39713 2831 40 powerful powerful JJ 39713 2831 41 investigator investigator NN 39713 2831 42 in in IN 39713 2831 43 the the DT 39713 2831 44 domain domain NN 39713 2831 45 of of IN 39713 2831 46 mathematics mathematic NNS 39713 2831 47 and and CC 39713 2831 48 mathematical mathematical JJ 39713 2831 49 physics physic NNS 39713 2831 50 , , , 39713 2831 51 characterized characterize VBD 39713 2831 52 him -PRON- PRP 39713 2831 53 as as IN 39713 2831 54 the the DT 39713 2831 55 intuitive intuitive JJ 39713 2831 56 genius genius NN 39713 2831 57 drawing draw VBG 39713 2831 58 the the DT 39713 2831 59 inspiration inspiration NN 39713 2831 60 for for IN 39713 2831 61 his -PRON- PRP$ 39713 2831 62 wide wide RB 39713 2831 63 - - HYPH 39713 2831 64 reaching reach VBG 39713 2831 65 researches research NNS 39713 2831 66 from from IN 39713 2831 67 the the DT 39713 2831 68 exhaustless exhaustless NN 39713 2831 69 fountain fountain NN 39713 2831 70 of of IN 39713 2831 71 geometric geometric JJ 39713 2831 72 and and CC 39713 2831 73 physical physical JJ 39713 2831 74 intuition intuition NN 39713 2831 75 , , , 39713 2831 76 yet yet CC 39713 2831 77 working work VBG 39713 2831 78 this this DT 39713 2831 79 inspiration inspiration NN 39713 2831 80 out out RP 39713 2831 81 in in IN 39713 2831 82 detail detail NN 39713 2831 83 with with IN 39713 2831 84 marvelous marvelous JJ 39713 2831 85 logical logical JJ 39713 2831 86 keenness keenness NN 39713 2831 87 . . . 39713 2832 1 With with IN 39713 2832 2 his -PRON- PRP$ 39713 2832 3 brilliant brilliant JJ 39713 2832 4 creative creative JJ 39713 2832 5 genius genius NN 39713 2832 6 was be VBD 39713 2832 7 combined combine VBN 39713 2832 8 the the DT 39713 2832 9 capacity capacity NN 39713 2832 10 for for IN 39713 2832 11 sharp sharp JJ 39713 2832 12 and and CC 39713 2832 13 successful successful JJ 39713 2832 14 generalization generalization NN 39713 2832 15 , , , 39713 2832 16 pushing push VBG 39713 2832 17 far far RB 39713 2832 18 out out IN 39713 2832 19 the the DT 39713 2832 20 boundaries boundary NNS 39713 2832 21 of of IN 39713 2832 22 thought thought NN 39713 2832 23 in in IN 39713 2832 24 the the DT 39713 2832 25 most most RBS 39713 2832 26 widely widely RB 39713 2832 27 different different JJ 39713 2832 28 domains domain NNS 39713 2832 29 , , , 39713 2832 30 so so IN 39713 2832 31 that that IN 39713 2832 32 his -PRON- PRP$ 39713 2832 33 works work NNS 39713 2832 34 must must MD 39713 2832 35 be be VB 39713 2832 36 ranked rank VBN 39713 2832 37 with with IN 39713 2832 38 the the DT 39713 2832 39 greatest great JJS 39713 2832 40 mathematical mathematical JJ 39713 2832 41 achievements achievement NNS 39713 2832 42 of of IN 39713 2832 43 all all DT 39713 2832 44 time time NN 39713 2832 45 . . . 39713 2833 1 " " `` 39713 2833 2 Finally finally RB 39713 2833 3 , , , 39713 2833 4 " " '' 39713 2833 5 says say VBZ 39713 2833 6 Rados Rados NNP 39713 2833 7 , , , 39713 2833 8 " " `` 39713 2833 9 permit permit VBP 39713 2833 10 me -PRON- PRP 39713 2833 11 to to TO 39713 2833 12 make make VB 39713 2833 13 especial especial JJ 39713 2833 14 mention mention NN 39713 2833 15 of of IN 39713 2833 16 his -PRON- PRP$ 39713 2833 17 intensely intensely RB 39713 2833 18 interesting interesting JJ 39713 2833 19 book book NN 39713 2833 20 , , , 39713 2833 21 ' ' '' 39713 2833 22 The the DT 39713 2833 23 Value Value NNP 39713 2833 24 of of IN 39713 2833 25 Science Science NNP 39713 2833 26 , , , 39713 2833 27 ' ' '' 39713 2833 28 in in IN 39713 2833 29 which which WDT 39713 2833 30 he -PRON- PRP 39713 2833 31 in in IN 39713 2833 32 a a DT 39713 2833 33 way way NN 39713 2833 34 has have VBZ 39713 2833 35 laid lay VBN 39713 2833 36 down down RP 39713 2833 37 the the DT 39713 2833 38 scientist scientist NN 39713 2833 39 's 's POS 39713 2833 40 creed creed NN 39713 2833 41 . . . 39713 2833 42 " " '' 39713 2834 1 Now now RB 39713 2834 2 what what WP 39713 2834 3 is be VBZ 39713 2834 4 this this DT 39713 2834 5 creed creed NN 39713 2834 6 ? ? . 39713 2835 1 Sense sense NN 39713 2835 2 may may MD 39713 2835 3 act act VB 39713 2835 4 as as IN 39713 2835 5 stimulus stimulus NN 39713 2835 6 , , , 39713 2835 7 as as IN 39713 2835 8 suggestive suggestive JJ 39713 2835 9 , , , 39713 2835 10 yet yet CC 39713 2835 11 not not RB 39713 2835 12 to to TO 39713 2835 13 awaken awaken VB 39713 2835 14 a a DT 39713 2835 15 dormant dormant JJ 39713 2835 16 depiction depiction NN 39713 2835 17 , , , 39713 2835 18 or or CC 39713 2835 19 to to TO 39713 2835 20 educe educe VB 39713 2835 21 the the DT 39713 2835 22 conception conception NN 39713 2835 23 of of IN 39713 2835 24 an an DT 39713 2835 25 archetypal archetypal JJ 39713 2835 26 form form NN 39713 2835 27 , , , 39713 2835 28 but but CC 39713 2835 29 rather rather RB 39713 2835 30 to to TO 39713 2835 31 strike strike VB 39713 2835 32 the the DT 39713 2835 33 hour hour NN 39713 2835 34 for for IN 39713 2835 35 creation creation NN 39713 2835 36 , , , 39713 2835 37 to to TO 39713 2835 38 summon summon VB 39713 2835 39 to to TO 39713 2835 40 work work VB 39713 2835 41 a a DT 39713 2835 42 sculptor sculptor NN 39713 2835 43 capable capable JJ 39713 2835 44 of of IN 39713 2835 45 smoothing smooth VBG 39713 2835 46 a a DT 39713 2835 47 Venus Venus NNP 39713 2835 48 of of IN 39713 2835 49 Milo Milo NNP 39713 2835 50 out out IN 39713 2835 51 of of IN 39713 2835 52 the the DT 39713 2835 53 formless formless NN 39713 2835 54 clay clay NN 39713 2835 55 . . . 39713 2836 1 Knowledge knowledge NN 39713 2836 2 is be VBZ 39713 2836 3 not not RB 39713 2836 4 a a DT 39713 2836 5 gift gift NN 39713 2836 6 of of IN 39713 2836 7 bare bare JJ 39713 2836 8 experience experience NN 39713 2836 9 , , , 39713 2836 10 nor nor CC 39713 2836 11 even even RB 39713 2836 12 made make VBN 39713 2836 13 solely solely RB 39713 2836 14 out out IN 39713 2836 15 of of IN 39713 2836 16 experience experience NN 39713 2836 17 . . . 39713 2837 1 The the DT 39713 2837 2 creative creative JJ 39713 2837 3 activity activity NN 39713 2837 4 of of IN 39713 2837 5 mind mind NN 39713 2837 6 is be VBZ 39713 2837 7 in in IN 39713 2837 8 mathematics mathematic NNS 39713 2837 9 particularly particularly RB 39713 2837 10 clear clear JJ 39713 2837 11 . . . 39713 2838 1 The the DT 39713 2838 2 axioms axiom NNS 39713 2838 3 of of IN 39713 2838 4 geometry geometry NN 39713 2838 5 are be VBP 39713 2838 6 conventions convention NNS 39713 2838 7 , , , 39713 2838 8 disguised disguised JJ 39713 2838 9 definitions definition NNS 39713 2838 10 or or CC 39713 2838 11 unprovable unprovable JJ 39713 2838 12 hypotheses hypothesis NNS 39713 2838 13 precreated precreate VBN 39713 2838 14 by by IN 39713 2838 15 auto auto NN 39713 2838 16 - - HYPH 39713 2838 17 active active JJ 39713 2838 18 animal animal NN 39713 2838 19 and and CC 39713 2838 20 human human JJ 39713 2838 21 minds mind NNS 39713 2838 22 . . . 39713 2839 1 Bertrand Bertrand NNP 39713 2839 2 Russell Russell NNP 39713 2839 3 says say VBZ 39713 2839 4 of of IN 39713 2839 5 projective projective JJ 39713 2839 6 geometry geometry NN 39713 2839 7 : : : 39713 2839 8 " " `` 39713 2839 9 It -PRON- PRP 39713 2839 10 takes take VBZ 39713 2839 11 nothing nothing NN 39713 2839 12 from from IN 39713 2839 13 experience experience NN 39713 2839 14 , , , 39713 2839 15 and and CC 39713 2839 16 has have VBZ 39713 2839 17 , , , 39713 2839 18 like like IN 39713 2839 19 arithmetic arithmetic JJ 39713 2839 20 , , , 39713 2839 21 a a DT 39713 2839 22 creature creature NN 39713 2839 23 of of IN 39713 2839 24 the the DT 39713 2839 25 pure pure JJ 39713 2839 26 intellect intellect NN 39713 2839 27 for for IN 39713 2839 28 its -PRON- PRP$ 39713 2839 29 object object NN 39713 2839 30 . . . 39713 2840 1 It -PRON- PRP 39713 2840 2 deals deal VBZ 39713 2840 3 with with IN 39713 2840 4 an an DT 39713 2840 5 object object NN 39713 2840 6 whose whose WP$ 39713 2840 7 properties property NNS 39713 2840 8 are be VBP 39713 2840 9 logically logically RB 39713 2840 10 deduced deduce VBN 39713 2840 11 from from IN 39713 2840 12 its -PRON- PRP$ 39713 2840 13 definition definition NN 39713 2840 14 , , , 39713 2840 15 not not RB 39713 2840 16 empirically empirically RB 39713 2840 17 discovered discover VBN 39713 2840 18 from from IN 39713 2840 19 data datum NNS 39713 2840 20 . . . 39713 2840 21 " " '' 39713 2841 1 Then then RB 39713 2841 2 does do VBZ 39713 2841 3 the the DT 39713 2841 4 scientist scientist NN 39713 2841 5 create create VB 39713 2841 6 science science NN 39713 2841 7 ? ? . 39713 2842 1 This this DT 39713 2842 2 is be VBZ 39713 2842 3 a a DT 39713 2842 4 question question NN 39713 2842 5 Poincaré Poincaré NNP 39713 2842 6 here here RB 39713 2842 7 dissects dissect VBZ 39713 2842 8 with with IN 39713 2842 9 a a DT 39713 2842 10 master master NN 39713 2842 11 hand hand NN 39713 2842 12 . . . 39713 2843 1 The the DT 39713 2843 2 physiologic physiologic JJ 39713 2843 3 - - HYPH 39713 2843 4 psychologic psychologic JJ 39713 2843 5 investigation investigation NN 39713 2843 6 of of IN 39713 2843 7 the the DT 39713 2843 8 space space NN 39713 2843 9 problem problem NN 39713 2843 10 must must MD 39713 2843 11 give give VB 39713 2843 12 the the DT 39713 2843 13 meaning meaning NN 39713 2843 14 of of IN 39713 2843 15 the the DT 39713 2843 16 words word NNS 39713 2843 17 _ _ IN 39713 2843 18 geometric geometric JJ 39713 2843 19 fact fact NN 39713 2843 20 _ _ NNP 39713 2843 21 , , , 39713 2843 22 _ _ NNP 39713 2843 23 geometric geometric JJ 39713 2843 24 reality reality NN 39713 2843 25 _ _ XX 39713 2843 26 . . . 39713 2844 1 Poincaré Poincaré NNP 39713 2844 2 here here RB 39713 2844 3 subjects subject VBZ 39713 2844 4 to to IN 39713 2844 5 the the DT 39713 2844 6 most most RBS 39713 2844 7 successful successful JJ 39713 2844 8 analysis analysis NN 39713 2844 9 ever ever RB 39713 2844 10 made make VBD 39713 2844 11 the the DT 39713 2844 12 tridimensionality tridimensionality NN 39713 2844 13 of of IN 39713 2844 14 our -PRON- PRP$ 39713 2844 15 space space NN 39713 2844 16 . . . 39713 2845 1 2 2 LS 39713 2845 2 . . . 39713 2846 1 _ _ NNP 39713 2846 2 The the DT 39713 2846 3 Mind Mind NNP 39713 2846 4 Dispelling dispel VBG 39713 2846 5 Optical optical JJ 39713 2846 6 Illusions._--Actual illusions._--actual JJ 39713 2846 7 perception perception NN 39713 2846 8 of of IN 39713 2846 9 spatial spatial JJ 39713 2846 10 properties property NNS 39713 2846 11 is be VBZ 39713 2846 12 accompanied accompany VBN 39713 2846 13 by by IN 39713 2846 14 movements movement NNS 39713 2846 15 corresponding correspond VBG 39713 2846 16 to to IN 39713 2846 17 its -PRON- PRP$ 39713 2846 18 character character NN 39713 2846 19 . . . 39713 2847 1 In in IN 39713 2847 2 the the DT 39713 2847 3 case case NN 39713 2847 4 of of IN 39713 2847 5 optical optical JJ 39713 2847 6 illusions illusion NNS 39713 2847 7 , , , 39713 2847 8 with with IN 39713 2847 9 the the DT 39713 2847 10 so so RB 39713 2847 11 - - HYPH 39713 2847 12 called call VBN 39713 2847 13 false false JJ 39713 2847 14 perceptions perception NNS 39713 2847 15 eye eye NN 39713 2847 16 - - HYPH 39713 2847 17 movements movement NNS 39713 2847 18 are be VBP 39713 2847 19 closely closely RB 39713 2847 20 related related JJ 39713 2847 21 . . . 39713 2848 1 But but CC 39713 2848 2 though though IN 39713 2848 3 the the DT 39713 2848 4 perceived perceive VBN 39713 2848 5 object object NN 39713 2848 6 and and CC 39713 2848 7 its -PRON- PRP$ 39713 2848 8 environment environment NN 39713 2848 9 remain remain VBP 39713 2848 10 constant constant JJ 39713 2848 11 , , , 39713 2848 12 the the DT 39713 2848 13 sufficiently sufficiently RB 39713 2848 14 powerful powerful JJ 39713 2848 15 mind mind NN 39713 2848 16 can can MD 39713 2848 17 , , , 39713 2848 18 as as IN 39713 2848 19 we -PRON- PRP 39713 2848 20 say say VBP 39713 2848 21 , , , 39713 2848 22 dispel dispel VBP 39713 2848 23 these these DT 39713 2848 24 illusions illusion NNS 39713 2848 25 , , , 39713 2848 26 the the DT 39713 2848 27 perception perception NN 39713 2848 28 itself -PRON- PRP 39713 2848 29 being be VBG 39713 2848 30 creatively creatively RB 39713 2848 31 changed change VBN 39713 2848 32 . . . 39713 2849 1 Photo photo NN 39713 2849 2 - - HYPH 39713 2849 3 graphs graphs NN 39713 2849 4 taken take VBN 39713 2849 5 at at IN 39713 2849 6 intervals interval NNS 39713 2849 7 during during IN 39713 2849 8 the the DT 39713 2849 9 presence presence NN 39713 2849 10 of of IN 39713 2849 11 these these DT 39713 2849 12 optical optical JJ 39713 2849 13 illusions illusion NNS 39713 2849 14 , , , 39713 2849 15 during during IN 39713 2849 16 the the DT 39713 2849 17 change change NN 39713 2849 18 , , , 39713 2849 19 perhaps perhaps RB 39713 2849 20 gradual gradual JJ 39713 2849 21 and and CC 39713 2849 22 unconscious unconscious JJ 39713 2849 23 , , , 39713 2849 24 in in IN 39713 2849 25 the the DT 39713 2849 26 perception perception NN 39713 2849 27 , , , 39713 2849 28 and and CC 39713 2849 29 after after IN 39713 2849 30 these these DT 39713 2849 31 illusions illusion NNS 39713 2849 32 have have VBP 39713 2849 33 , , , 39713 2849 34 as as IN 39713 2849 35 the the DT 39713 2849 36 phrase phrase NN 39713 2849 37 is be VBZ 39713 2849 38 , , , 39713 2849 39 finally finally RB 39713 2849 40 disappeared disappear VBD 39713 2849 41 , , , 39713 2849 42 show show VBP 39713 2849 43 quite quite RB 39713 2849 44 clearly clearly RB 39713 2849 45 that that IN 39713 2849 46 changes change VBZ 39713 2849 47 in in IN 39713 2849 48 eye eye NN 39713 2849 49 - - HYPH 39713 2849 50 movements movement NNS 39713 2849 51 corresponding correspond VBG 39713 2849 52 to to IN 39713 2849 53 those those DT 39713 2849 54 internally internally RB 39713 2849 55 created create VBN 39713 2849 56 in in IN 39713 2849 57 perception perception NN 39713 2849 58 itself -PRON- PRP 39713 2849 59 successively successively RB 39713 2849 60 occur occur VBP 39713 2849 61 . . . 39713 2850 1 What what WP 39713 2850 2 is be VBZ 39713 2850 3 called call VBN 39713 2850 4 accuracy accuracy NN 39713 2850 5 of of IN 39713 2850 6 movement movement NN 39713 2850 7 is be VBZ 39713 2850 8 created create VBN 39713 2850 9 by by IN 39713 2850 10 what what WP 39713 2850 11 is be VBZ 39713 2850 12 called call VBN 39713 2850 13 correctness correctness NN 39713 2850 14 of of IN 39713 2850 15 perception perception NN 39713 2850 16 . . . 39713 2851 1 The the DT 39713 2851 2 higher high JJR 39713 2851 3 creation creation NN 39713 2851 4 in in IN 39713 2851 5 the the DT 39713 2851 6 perception perception NN 39713 2851 7 is be VBZ 39713 2851 8 the the DT 39713 2851 9 determining determine VBG 39713 2851 10 cause cause NN 39713 2851 11 of of IN 39713 2851 12 an an DT 39713 2851 13 improvement improvement NN 39713 2851 14 , , , 39713 2851 15 a a DT 39713 2851 16 precision precision NN 39713 2851 17 in in IN 39713 2851 18 the the DT 39713 2851 19 motion motion NN 39713 2851 20 . . . 39713 2852 1 Thus thus RB 39713 2852 2 we -PRON- PRP 39713 2852 3 see see VBP 39713 2852 4 correct correct JJ 39713 2852 5 perception perception NN 39713 2852 6 in in IN 39713 2852 7 the the DT 39713 2852 8 individual individual NN 39713 2852 9 helping help VBG 39713 2852 10 to to TO 39713 2852 11 make make VB 39713 2852 12 that that DT 39713 2852 13 cerebral cerebral JJ 39713 2852 14 organization organization NN 39713 2852 15 and and CC 39713 2852 16 accurate accurate NNP 39713 2852 17 motor motor NN 39713 2852 18 adjustment adjustment NN 39713 2852 19 on on IN 39713 2852 20 which which WDT 39713 2852 21 its -PRON- PRP$ 39713 2852 22 possibility possibility NN 39713 2852 23 and and CC 39713 2852 24 permanence permanence NN 39713 2852 25 seem seem VBP 39713 2852 26 in in RB 39713 2852 27 so so RB 39713 2852 28 far far RB 39713 2852 29 to to TO 39713 2852 30 depend depend VB 39713 2852 31 . . . 39713 2853 1 So so RB 39713 2853 2 - - HYPH 39713 2853 3 called call VBN 39713 2853 4 correct correct JJ 39713 2853 5 perception perception NN 39713 2853 6 is be VBZ 39713 2853 7 connected connect VBN 39713 2853 8 with with IN 39713 2853 9 a a DT 39713 2853 10 long long RB 39713 2853 11 - - HYPH 39713 2853 12 continued continued JJ 39713 2853 13 process process NN 39713 2853 14 of of IN 39713 2853 15 perceptual perceptual JJ 39713 2853 16 education education NN 39713 2853 17 motived motive VBN 39713 2853 18 and and CC 39713 2853 19 initiated initiate VBN 39713 2853 20 from from IN 39713 2853 21 within within IN 39713 2853 22 . . . 39713 2854 1 How how WRB 39713 2854 2 this this DT 39713 2854 3 may may MD 39713 2854 4 take take VB 39713 2854 5 place place NN 39713 2854 6 is be VBZ 39713 2854 7 here here RB 39713 2854 8 illustrated illustrate VBN 39713 2854 9 at at IN 39713 2854 10 length length NN 39713 2854 11 by by IN 39713 2854 12 our -PRON- PRP$ 39713 2854 13 author author NN 39713 2854 14 . . . 39713 2855 1 3 3 LS 39713 2855 2 . . . 39713 2856 1 _ _ NNP 39713 2856 2 Euclid Euclid NNP 39713 2856 3 not not RB 39713 2856 4 Necessary._--Geometry necessary._--geometry CD 39713 2856 5 is be VBZ 39713 2856 6 a a DT 39713 2856 7 construction construction NN 39713 2856 8 of of IN 39713 2856 9 the the DT 39713 2856 10 intellect intellect NN 39713 2856 11 , , , 39713 2856 12 in in IN 39713 2856 13 application application NN 39713 2856 14 not not RB 39713 2856 15 certain certain JJ 39713 2856 16 but but CC 39713 2856 17 convenient convenient JJ 39713 2856 18 . . . 39713 2857 1 As as IN 39713 2857 2 Schiller Schiller NNP 39713 2857 3 says say VBZ 39713 2857 4 , , , 39713 2857 5 when when WRB 39713 2857 6 we -PRON- PRP 39713 2857 7 see see VBP 39713 2857 8 these these DT 39713 2857 9 facts fact NNS 39713 2857 10 as as RB 39713 2857 11 clearly clearly RB 39713 2857 12 as as IN 39713 2857 13 the the DT 39713 2857 14 development development NN 39713 2857 15 of of IN 39713 2857 16 metageometry metageometry NN 39713 2857 17 has have VBZ 39713 2857 18 compelled compel VBN 39713 2857 19 us -PRON- PRP 39713 2857 20 to to TO 39713 2857 21 see see VB 39713 2857 22 them -PRON- PRP 39713 2857 23 , , , 39713 2857 24 we -PRON- PRP 39713 2857 25 must must MD 39713 2857 26 surely surely RB 39713 2857 27 confess confess VB 39713 2857 28 that that IN 39713 2857 29 the the DT 39713 2857 30 Kantian kantian JJ 39713 2857 31 account account NN 39713 2857 32 of of IN 39713 2857 33 space space NN 39713 2857 34 is be VBZ 39713 2857 35 hopelessly hopelessly RB 39713 2857 36 and and CC 39713 2857 37 demonstrably demonstrably RB 39713 2857 38 antiquated antiquated JJ 39713 2857 39 . . . 39713 2858 1 As as IN 39713 2858 2 Royce Royce NNP 39713 2858 3 says say VBZ 39713 2858 4 in in IN 39713 2858 5 ' ' `` 39713 2858 6 Kant Kant NNP 39713 2858 7 's 's POS 39713 2858 8 Doctrine Doctrine NNP 39713 2858 9 of of IN 39713 2858 10 the the DT 39713 2858 11 Basis Basis NNP 39713 2858 12 of of IN 39713 2858 13 Mathematics Mathematics NNP 39713 2858 14 , , , 39713 2858 15 ' ' '' 39713 2858 16 " " `` 39713 2858 17 That that DT 39713 2858 18 very very JJ 39713 2858 19 use use NN 39713 2858 20 of of IN 39713 2858 21 intuition intuition NN 39713 2858 22 which which WDT 39713 2858 23 Kant Kant NNP 39713 2858 24 regarded regard VBD 39713 2858 25 as as IN 39713 2858 26 geometrically geometrically RB 39713 2858 27 ideal ideal JJ 39713 2858 28 , , , 39713 2858 29 the the DT 39713 2858 30 modern modern JJ 39713 2858 31 geometer geometer NN 39713 2858 32 regards regard VBZ 39713 2858 33 as as IN 39713 2858 34 scientifically scientifically RB 39713 2858 35 defective defective JJ 39713 2858 36 , , , 39713 2858 37 because because IN 39713 2858 38 surreptitious surreptitious JJ 39713 2858 39 . . . 39713 2859 1 No no DT 39713 2859 2 mathematical mathematical JJ 39713 2859 3 exactness exactness NN 39713 2859 4 without without IN 39713 2859 5 explicit explicit JJ 39713 2859 6 proof proof NN 39713 2859 7 from from IN 39713 2859 8 assumed assume VBN 39713 2859 9 principles principle NNS 39713 2859 10 -- -- : 39713 2859 11 such such JJ 39713 2859 12 is be VBZ 39713 2859 13 the the DT 39713 2859 14 motto motto NN 39713 2859 15 of of IN 39713 2859 16 the the DT 39713 2859 17 modern modern JJ 39713 2859 18 geometer geometer NN 39713 2859 19 . . . 39713 2860 1 But but CC 39713 2860 2 suppose suppose VB 39713 2860 3 the the DT 39713 2860 4 reasoning reasoning NN 39713 2860 5 of of IN 39713 2860 6 Euclid Euclid NNP 39713 2860 7 purified purify VBN 39713 2860 8 of of IN 39713 2860 9 this this DT 39713 2860 10 comparatively comparatively RB 39713 2860 11 surreptitious surreptitious JJ 39713 2860 12 appeal appeal NN 39713 2860 13 to to IN 39713 2860 14 intuition intuition NN 39713 2860 15 . . . 39713 2861 1 Suppose suppose VB 39713 2861 2 that that IN 39713 2861 3 the the DT 39713 2861 4 principles principle NNS 39713 2861 5 of of IN 39713 2861 6 geometry geometry NN 39713 2861 7 are be VBP 39713 2861 8 made make VBN 39713 2861 9 quite quite RB 39713 2861 10 explicit explicit JJ 39713 2861 11 at at IN 39713 2861 12 the the DT 39713 2861 13 outset outset NN 39713 2861 14 of of IN 39713 2861 15 the the DT 39713 2861 16 treatise treatise NN 39713 2861 17 , , , 39713 2861 18 as as IN 39713 2861 19 Pieri Pieri NNP 39713 2861 20 and and CC 39713 2861 21 Hilbert Hilbert NNP 39713 2861 22 or or CC 39713 2861 23 Professor Professor NNP 39713 2861 24 Halsted Halsted NNP 39713 2861 25 or or CC 39713 2861 26 Dr. Dr. NNP 39713 2861 27 Veblen Veblen NNP 39713 2861 28 makes make VBZ 39713 2861 29 his -PRON- PRP$ 39713 2861 30 principles principle NNS 39713 2861 31 explicit explicit JJ 39713 2861 32 in in IN 39713 2861 33 his -PRON- PRP$ 39713 2861 34 recent recent JJ 39713 2861 35 treatment treatment NN 39713 2861 36 of of IN 39713 2861 37 geometry geometry NN 39713 2861 38 . . . 39713 2862 1 Then then RB 39713 2862 2 , , , 39713 2862 3 indeed indeed RB 39713 2862 4 , , , 39713 2862 5 geometry geometry NN 39713 2862 6 becomes become VBZ 39713 2862 7 for for IN 39713 2862 8 the the DT 39713 2862 9 modern modern JJ 39713 2862 10 mathematician mathematician NN 39713 2862 11 a a DT 39713 2862 12 purely purely RB 39713 2862 13 rational rational JJ 39713 2862 14 science science NN 39713 2862 15 . . . 39713 2863 1 But but CC 39713 2863 2 very very RB 39713 2863 3 few few JJ 39713 2863 4 students student NNS 39713 2863 5 of of IN 39713 2863 6 the the DT 39713 2863 7 logic logic NN 39713 2863 8 of of IN 39713 2863 9 mathematics mathematic NNS 39713 2863 10 at at IN 39713 2863 11 the the DT 39713 2863 12 present present JJ 39713 2863 13 time time NN 39713 2863 14 can can MD 39713 2863 15 see see VB 39713 2863 16 any any DT 39713 2863 17 warrant warrant NN 39713 2863 18 in in IN 39713 2863 19 the the DT 39713 2863 20 analysis analysis NN 39713 2863 21 of of IN 39713 2863 22 geometrical geometrical JJ 39713 2863 23 truth truth NN 39713 2863 24 for for IN 39713 2863 25 regarding regard VBG 39713 2863 26 just just RB 39713 2863 27 the the DT 39713 2863 28 Euclidean euclidean JJ 39713 2863 29 system system NN 39713 2863 30 of of IN 39713 2863 31 principles principle NNS 39713 2863 32 as as IN 39713 2863 33 possessing possess VBG 39713 2863 34 any any DT 39713 2863 35 discoverable discoverable JJ 39713 2863 36 necessity necessity NN 39713 2863 37 . . . 39713 2863 38 " " '' 39713 2864 1 Yet yet CC 39713 2864 2 the the DT 39713 2864 3 environmental environmental JJ 39713 2864 4 and and CC 39713 2864 5 perhaps perhaps RB 39713 2864 6 hereditary hereditary JJ 39713 2864 7 premiums premium NNS 39713 2864 8 on on IN 39713 2864 9 Euclid Euclid NNP 39713 2864 10 still still RB 39713 2864 11 make make VBP 39713 2864 12 even even RB 39713 2864 13 the the DT 39713 2864 14 scientist scientist NN 39713 2864 15 think think VB 39713 2864 16 Euclid Euclid NNP 39713 2864 17 most most RBS 39713 2864 18 convenient convenient JJ 39713 2864 19 . . . 39713 2865 1 4 4 LS 39713 2865 2 . . . 39713 2866 1 _ _ NNP 39713 2866 2 Without without IN 39713 2866 3 Hypotheses Hypotheses NNPS 39713 2866 4 , , , 39713 2866 5 no no DT 39713 2866 6 Science._--Nobody science._--nobody NN 39713 2866 7 ever ever RB 39713 2866 8 observed observe VBD 39713 2866 9 an an DT 39713 2866 10 equidistantial equidistantial JJ 39713 2866 11 , , , 39713 2866 12 but but CC 39713 2866 13 also also RB 39713 2866 14 nobody nobody NN 39713 2866 15 ever ever RB 39713 2866 16 observed observe VBD 39713 2866 17 a a DT 39713 2866 18 straight straight JJ 39713 2866 19 line line NN 39713 2866 20 . . . 39713 2867 1 Emerson Emerson NNP 39713 2867 2 's 's POS 39713 2867 3 Uriel Uriel NNP 39713 2867 4 " " `` 39713 2867 5 Gave give VBD 39713 2867 6 his -PRON- PRP$ 39713 2867 7 sentiment sentiment NN 39713 2867 8 divine divine JJ 39713 2867 9 Against against IN 39713 2867 10 the the DT 39713 2867 11 being being NN 39713 2867 12 of of IN 39713 2867 13 a a DT 39713 2867 14 line line NN 39713 2867 15 . . . 39713 2868 1 Line line NN 39713 2868 2 in in IN 39713 2868 3 Nature nature NN 39713 2868 4 is be VBZ 39713 2868 5 not not RB 39713 2868 6 found find VBN 39713 2868 7 . . . 39713 2868 8 " " '' 39713 2869 1 Clearly clearly RB 39713 2869 2 not not RB 39713 2869 3 , , , 39713 2869 4 being be VBG 39713 2869 5 an an DT 39713 2869 6 eject eject NN 39713 2869 7 from from IN 39713 2869 8 man man NN 39713 2869 9 's 's POS 39713 2869 10 mind mind NN 39713 2869 11 . . . 39713 2870 1 What what WP 39713 2870 2 is be VBZ 39713 2870 3 called call VBN 39713 2870 4 ' ' '' 39713 2870 5 a a DT 39713 2870 6 knowledge knowledge NN 39713 2870 7 of of IN 39713 2870 8 facts fact NNS 39713 2870 9 ' ' '' 39713 2870 10 is be VBZ 39713 2870 11 usually usually RB 39713 2870 12 merely merely RB 39713 2870 13 a a DT 39713 2870 14 subjective subjective JJ 39713 2870 15 realization realization NN 39713 2870 16 that that IN 39713 2870 17 the the DT 39713 2870 18 old old JJ 39713 2870 19 hypotheses hypothesis NNS 39713 2870 20 are be VBP 39713 2870 21 still still RB 39713 2870 22 sufficiently sufficiently RB 39713 2870 23 elastic elastic JJ 39713 2870 24 to to TO 39713 2870 25 serve serve VB 39713 2870 26 in in IN 39713 2870 27 some some DT 39713 2870 28 domain domain NN 39713 2870 29 ; ; : 39713 2870 30 that that RB 39713 2870 31 is is RB 39713 2870 32 , , , 39713 2870 33 with with IN 39713 2870 34 a a DT 39713 2870 35 sufficiency sufficiency NN 39713 2870 36 of of IN 39713 2870 37 conscious conscious JJ 39713 2870 38 or or CC 39713 2870 39 unconscious unconscious JJ 39713 2870 40 omissions omission NNS 39713 2870 41 and and CC 39713 2870 42 doctorings doctoring NNS 39713 2870 43 and and CC 39713 2870 44 fudgings fudging NNS 39713 2870 45 more more RBR 39713 2870 46 or or CC 39713 2870 47 less less RBR 39713 2870 48 wilful wilful JJ 39713 2870 49 . . . 39713 2871 1 In in IN 39713 2871 2 the the DT 39713 2871 3 present present JJ 39713 2871 4 book book NN 39713 2871 5 we -PRON- PRP 39713 2871 6 see see VBP 39713 2871 7 the the DT 39713 2871 8 very very JJ 39713 2871 9 foundation foundation NN 39713 2871 10 rocks rock NNS 39713 2871 11 of of IN 39713 2871 12 science science NN 39713 2871 13 , , , 39713 2871 14 the the DT 39713 2871 15 conservation conservation NN 39713 2871 16 of of IN 39713 2871 17 energy energy NN 39713 2871 18 and and CC 39713 2871 19 the the DT 39713 2871 20 indestructibility indestructibility NN 39713 2871 21 of of IN 39713 2871 22 matter matter NN 39713 2871 23 , , , 39713 2871 24 beating beat VBG 39713 2871 25 against against IN 39713 2871 26 the the DT 39713 2871 27 bars bar NNS 39713 2871 28 of of IN 39713 2871 29 their -PRON- PRP$ 39713 2871 30 cages cage NNS 39713 2871 31 , , , 39713 2871 32 seemingly seemingly RB 39713 2871 33 anxious anxious JJ 39713 2871 34 to to TO 39713 2871 35 take take VB 39713 2871 36 wing wing NN 39713 2871 37 away away RB 39713 2871 38 into into IN 39713 2871 39 the the DT 39713 2871 40 empyrean empyrean NN 39713 2871 41 , , , 39713 2871 42 to to TO 39713 2871 43 chase chase VB 39713 2871 44 the the DT 39713 2871 45 once once RB 39713 2871 46 divine divine JJ 39713 2871 47 parallel parallel JJ 39713 2871 48 postulate postulate NN 39713 2871 49 broken break VBN 39713 2871 50 loose loose RB 39713 2871 51 from from IN 39713 2871 52 Euclid Euclid NNP 39713 2871 53 and and CC 39713 2871 54 Kant Kant NNP 39713 2871 55 . . . 39713 2872 1 5 5 CD 39713 2872 2 . . . 39713 2873 1 _ _ NNP 39713 2873 2 What what WP 39713 2873 3 Outcome?_--What outcome?_--what IN 39713 2873 4 now now RB 39713 2873 5 is be VBZ 39713 2873 6 the the DT 39713 2873 7 definite definite JJ 39713 2873 8 , , , 39713 2873 9 the the DT 39713 2873 10 permanent permanent JJ 39713 2873 11 outcome outcome NN 39713 2873 12 ? ? . 39713 2874 1 What what WDT 39713 2874 2 new new JJ 39713 2874 3 islets islet NNS 39713 2874 4 raise raise VBP 39713 2874 5 their -PRON- PRP$ 39713 2874 6 fronded fronded JJ 39713 2874 7 palms palm NNS 39713 2874 8 in in IN 39713 2874 9 air air NN 39713 2874 10 within within IN 39713 2874 11 thought thought NN 39713 2874 12 's 's POS 39713 2874 13 musical musical JJ 39713 2874 14 domain domain NN 39713 2874 15 ? ? . 39713 2875 1 Over over IN 39713 2875 2 what what WDT 39713 2875 3 age age NN 39713 2875 4 - - HYPH 39713 2875 5 gray gray JJ 39713 2875 6 barriers barrier NNS 39713 2875 7 rise rise VBP 39713 2875 8 the the DT 39713 2875 9 fragrant fragrant JJ 39713 2875 10 floods flood NNS 39713 2875 11 of of IN 39713 2875 12 this this DT 39713 2875 13 new new JJ 39713 2875 14 spring spring NN 39713 2875 15 - - HYPH 39713 2875 16 tide tide NN 39713 2875 17 , , , 39713 2875 18 redolent redolent NN 39713 2875 19 of of IN 39713 2875 20 the the DT 39713 2875 21 wolf wolf NN 39713 2875 22 - - HYPH 39713 2875 23 haunted haunt VBN 39713 2875 24 forest forest NN 39713 2875 25 of of IN 39713 2875 26 Transylvania Transylvania NNP 39713 2875 27 , , , 39713 2875 28 of of IN 39713 2875 29 far far RB 39713 2875 30 Erdély Erdély NNP 39713 2875 31 's 's POS 39713 2875 32 plunging plunge VBG 39713 2875 33 river river NN 39713 2875 34 , , , 39713 2875 35 Maros Maros NNP 39713 2875 36 the the DT 39713 2875 37 bitter bitter JJ 39713 2875 38 , , , 39713 2875 39 or or CC 39713 2875 40 broad broad JJ 39713 2875 41 mother mother NN 39713 2875 42 Volga Volga NNP 39713 2875 43 at at IN 39713 2875 44 Kazan Kazan NNP 39713 2875 45 ? ? . 39713 2876 1 What what WDT 39713 2876 2 victory victory NN 39713 2876 3 heralded herald VBD 39713 2876 4 the the DT 39713 2876 5 great great JJ 39713 2876 6 rocket rocket NN 39713 2876 7 for for IN 39713 2876 8 which which WDT 39713 2876 9 young young JJ 39713 2876 10 Lobachevski Lobachevski NNP 39713 2876 11 , , , 39713 2876 12 the the DT 39713 2876 13 widow widow NN 39713 2876 14 's 's POS 39713 2876 15 son son NN 39713 2876 16 , , , 39713 2876 17 was be VBD 39713 2876 18 cast cast VBN 39713 2876 19 into into IN 39713 2876 20 prison prison NN 39713 2876 21 ? ? . 39713 2877 1 What what WP 39713 2877 2 severing severing NN 39713 2877 3 of of IN 39713 2877 4 age age NN 39713 2877 5 - - HYPH 39713 2877 6 old old JJ 39713 2877 7 mental mental JJ 39713 2877 8 fetters fetter NNS 39713 2877 9 symbolized symbolize VBD 39713 2877 10 young young JJ 39713 2877 11 Bolyai Bolyai NNP 39713 2877 12 's 's POS 39713 2877 13 cutting cutting NN 39713 2877 14 - - HYPH 39713 2877 15 off off RP 39713 2877 16 with with IN 39713 2877 17 his -PRON- PRP$ 39713 2877 18 Damascus Damascus NNP 39713 2877 19 blade blade NN 39713 2877 20 the the DT 39713 2877 21 spikes spike NNS 39713 2877 22 driven drive VBN 39713 2877 23 into into IN 39713 2877 24 his -PRON- PRP$ 39713 2877 25 door door NN 39713 2877 26 - - HYPH 39713 2877 27 post post NN 39713 2877 28 , , , 39713 2877 29 and and CC 39713 2877 30 strewing strew VBG 39713 2877 31 over over RP 39713 2877 32 the the DT 39713 2877 33 sod sod NN 39713 2877 34 the the DT 39713 2877 35 thirteen thirteen CD 39713 2877 36 Austrian austrian JJ 39713 2877 37 cavalry cavalry NN 39713 2877 38 officers officer NNS 39713 2877 39 ? ? . 39713 2878 1 This this DT 39713 2878 2 book book NN 39713 2878 3 by by IN 39713 2878 4 the the DT 39713 2878 5 greatest great JJS 39713 2878 6 mathematician mathematician NN 39713 2878 7 of of IN 39713 2878 8 our -PRON- PRP$ 39713 2878 9 time time NN 39713 2878 10 gives give VBZ 39713 2878 11 weightiest weighty JJS 39713 2878 12 and and CC 39713 2878 13 most most RBS 39713 2878 14 charming charming JJ 39713 2878 15 answer answer NN 39713 2878 16 . . . 39713 2879 1 GEORGE GEORGE NNP 39713 2879 2 BRUCE BRUCE NNP 39713 2879 3 HALSTED HALSTED NNP 39713 2879 4 . . . 39713 2880 1 INTRODUCTION introduction VB 39713 2880 2 The the DT 39713 2880 3 search search NN 39713 2880 4 for for IN 39713 2880 5 truth truth NN 39713 2880 6 should should MD 39713 2880 7 be be VB 39713 2880 8 the the DT 39713 2880 9 goal goal NN 39713 2880 10 of of IN 39713 2880 11 our -PRON- PRP$ 39713 2880 12 activities activity NNS 39713 2880 13 ; ; : 39713 2880 14 it -PRON- PRP 39713 2880 15 is be VBZ 39713 2880 16 the the DT 39713 2880 17 sole sole JJ 39713 2880 18 end end NN 39713 2880 19 worthy worthy JJ 39713 2880 20 of of IN 39713 2880 21 them -PRON- PRP 39713 2880 22 . . . 39713 2881 1 Doubtless doubtless RB 39713 2881 2 we -PRON- PRP 39713 2881 3 should should MD 39713 2881 4 first first RB 39713 2881 5 bend bend VB 39713 2881 6 our -PRON- PRP$ 39713 2881 7 efforts effort NNS 39713 2881 8 to to TO 39713 2881 9 assuage assuage VB 39713 2881 10 human human JJ 39713 2881 11 suffering suffering NN 39713 2881 12 , , , 39713 2881 13 but but CC 39713 2881 14 why why WRB 39713 2881 15 ? ? . 39713 2882 1 Not not RB 39713 2882 2 to to TO 39713 2882 3 suffer suffer VB 39713 2882 4 is be VBZ 39713 2882 5 a a DT 39713 2882 6 negative negative JJ 39713 2882 7 ideal ideal NN 39713 2882 8 more more RBR 39713 2882 9 surely surely RB 39713 2882 10 attained attain VBN 39713 2882 11 by by IN 39713 2882 12 the the DT 39713 2882 13 annihilation annihilation NN 39713 2882 14 of of IN 39713 2882 15 the the DT 39713 2882 16 world world NN 39713 2882 17 . . . 39713 2883 1 If if IN 39713 2883 2 we -PRON- PRP 39713 2883 3 wish wish VBP 39713 2883 4 more more JJR 39713 2883 5 and and CC 39713 2883 6 more more RBR 39713 2883 7 to to TO 39713 2883 8 free free JJ 39713 2883 9 man man NN 39713 2883 10 from from IN 39713 2883 11 material material NN 39713 2883 12 cares care NNS 39713 2883 13 , , , 39713 2883 14 it -PRON- PRP 39713 2883 15 is be VBZ 39713 2883 16 that that IN 39713 2883 17 he -PRON- PRP 39713 2883 18 may may MD 39713 2883 19 be be VB 39713 2883 20 able able JJ 39713 2883 21 to to TO 39713 2883 22 employ employ VB 39713 2883 23 the the DT 39713 2883 24 liberty liberty NN 39713 2883 25 obtained obtain VBN 39713 2883 26 in in IN 39713 2883 27 the the DT 39713 2883 28 study study NN 39713 2883 29 and and CC 39713 2883 30 contemplation contemplation NN 39713 2883 31 of of IN 39713 2883 32 truth truth NN 39713 2883 33 . . . 39713 2884 1 But but CC 39713 2884 2 sometimes sometimes RB 39713 2884 3 truth truth NN 39713 2884 4 frightens frighten VBZ 39713 2884 5 us -PRON- PRP 39713 2884 6 . . . 39713 2885 1 And and CC 39713 2885 2 in in IN 39713 2885 3 fact fact NN 39713 2885 4 we -PRON- PRP 39713 2885 5 know know VBP 39713 2885 6 that that IN 39713 2885 7 it -PRON- PRP 39713 2885 8 is be VBZ 39713 2885 9 sometimes sometimes RB 39713 2885 10 deceptive deceptive JJ 39713 2885 11 , , , 39713 2885 12 that that IN 39713 2885 13 it -PRON- PRP 39713 2885 14 is be VBZ 39713 2885 15 a a DT 39713 2885 16 phantom phantom NN 39713 2885 17 never never RB 39713 2885 18 showing show VBG 39713 2885 19 itself -PRON- PRP 39713 2885 20 for for IN 39713 2885 21 a a DT 39713 2885 22 moment moment NN 39713 2885 23 except except IN 39713 2885 24 to to TO 39713 2885 25 ceaselessly ceaselessly RB 39713 2885 26 flee flee VB 39713 2885 27 , , , 39713 2885 28 that that IN 39713 2885 29 it -PRON- PRP 39713 2885 30 must must MD 39713 2885 31 be be VB 39713 2885 32 pursued pursue VBN 39713 2885 33 further far RBR 39713 2885 34 and and CC 39713 2885 35 ever ever RB 39713 2885 36 further further RB 39713 2885 37 without without IN 39713 2885 38 ever ever RB 39713 2885 39 being be VBG 39713 2885 40 attained attain VBN 39713 2885 41 . . . 39713 2886 1 Yet yet RB 39713 2886 2 to to TO 39713 2886 3 work work VB 39713 2886 4 one one PRP 39713 2886 5 must must MD 39713 2886 6 stop stop VB 39713 2886 7 , , , 39713 2886 8 as as IN 39713 2886 9 some some DT 39713 2886 10 Greek Greek NNP 39713 2886 11 , , , 39713 2886 12 Aristotle Aristotle NNP 39713 2886 13 or or CC 39713 2886 14 another another DT 39713 2886 15 , , , 39713 2886 16 has have VBZ 39713 2886 17 said say VBN 39713 2886 18 . . . 39713 2887 1 We -PRON- PRP 39713 2887 2 also also RB 39713 2887 3 know know VBP 39713 2887 4 how how WRB 39713 2887 5 cruel cruel JJ 39713 2887 6 the the DT 39713 2887 7 truth truth NN 39713 2887 8 often often RB 39713 2887 9 is be VBZ 39713 2887 10 , , , 39713 2887 11 and and CC 39713 2887 12 we -PRON- PRP 39713 2887 13 wonder wonder VBP 39713 2887 14 whether whether IN 39713 2887 15 illusion illusion NN 39713 2887 16 is be VBZ 39713 2887 17 not not RB 39713 2887 18 more more RBR 39713 2887 19 consoling consoling JJ 39713 2887 20 , , , 39713 2887 21 yea yea NNP 39713 2887 22 , , , 39713 2887 23 even even RB 39713 2887 24 more more RBR 39713 2887 25 bracing bracing NN 39713 2887 26 , , , 39713 2887 27 for for IN 39713 2887 28 illusion illusion NN 39713 2887 29 it -PRON- PRP 39713 2887 30 is be VBZ 39713 2887 31 which which WDT 39713 2887 32 gives give VBZ 39713 2887 33 confidence confidence NN 39713 2887 34 . . . 39713 2888 1 When when WRB 39713 2888 2 it -PRON- PRP 39713 2888 3 shall shall MD 39713 2888 4 have have VB 39713 2888 5 vanished vanish VBN 39713 2888 6 , , , 39713 2888 7 will will MD 39713 2888 8 hope hope VB 39713 2888 9 remain remain VB 39713 2888 10 and and CC 39713 2888 11 shall shall MD 39713 2888 12 we -PRON- PRP 39713 2888 13 have have VB 39713 2888 14 the the DT 39713 2888 15 courage courage NN 39713 2888 16 to to TO 39713 2888 17 achieve achieve VB 39713 2888 18 ? ? . 39713 2889 1 Thus thus RB 39713 2889 2 would would MD 39713 2889 3 not not RB 39713 2889 4 the the DT 39713 2889 5 horse horse NN 39713 2889 6 harnessed harness VBN 39713 2889 7 to to IN 39713 2889 8 his -PRON- PRP$ 39713 2889 9 treadmill treadmill NN 39713 2889 10 refuse refuse VB 39713 2889 11 to to TO 39713 2889 12 go go VB 39713 2889 13 , , , 39713 2889 14 were be VBD 39713 2889 15 his -PRON- PRP$ 39713 2889 16 eyes eye NNS 39713 2889 17 not not RB 39713 2889 18 bandaged bandage VBN 39713 2889 19 ? ? . 39713 2890 1 And and CC 39713 2890 2 then then RB 39713 2890 3 to to TO 39713 2890 4 seek seek VB 39713 2890 5 truth truth NN 39713 2890 6 it -PRON- PRP 39713 2890 7 is be VBZ 39713 2890 8 necessary necessary JJ 39713 2890 9 to to TO 39713 2890 10 be be VB 39713 2890 11 independent independent JJ 39713 2890 12 , , , 39713 2890 13 wholly wholly RB 39713 2890 14 independent independent JJ 39713 2890 15 . . . 39713 2891 1 If if IN 39713 2891 2 , , , 39713 2891 3 on on IN 39713 2891 4 the the DT 39713 2891 5 contrary contrary NN 39713 2891 6 , , , 39713 2891 7 we -PRON- PRP 39713 2891 8 wish wish VBP 39713 2891 9 to to TO 39713 2891 10 act act VB 39713 2891 11 , , , 39713 2891 12 to to TO 39713 2891 13 be be VB 39713 2891 14 strong strong JJ 39713 2891 15 , , , 39713 2891 16 we -PRON- PRP 39713 2891 17 should should MD 39713 2891 18 be be VB 39713 2891 19 united united JJ 39713 2891 20 . . . 39713 2892 1 This this DT 39713 2892 2 is be VBZ 39713 2892 3 why why WRB 39713 2892 4 many many JJ 39713 2892 5 of of IN 39713 2892 6 us -PRON- PRP 39713 2892 7 fear fear VBP 39713 2892 8 truth truth NN 39713 2892 9 ; ; : 39713 2892 10 we -PRON- PRP 39713 2892 11 consider consider VBP 39713 2892 12 it -PRON- PRP 39713 2892 13 a a DT 39713 2892 14 cause cause NN 39713 2892 15 of of IN 39713 2892 16 weakness weakness NN 39713 2892 17 . . . 39713 2893 1 Yet yet RB 39713 2893 2 truth truth NN 39713 2893 3 should should MD 39713 2893 4 not not RB 39713 2893 5 be be VB 39713 2893 6 feared fear VBN 39713 2893 7 , , , 39713 2893 8 for for IN 39713 2893 9 it -PRON- PRP 39713 2893 10 alone alone RB 39713 2893 11 is be VBZ 39713 2893 12 beautiful beautiful JJ 39713 2893 13 . . . 39713 2894 1 When when WRB 39713 2894 2 I -PRON- PRP 39713 2894 3 speak speak VBP 39713 2894 4 here here RB 39713 2894 5 of of IN 39713 2894 6 truth truth NN 39713 2894 7 , , , 39713 2894 8 assuredly assuredly RB 39713 2894 9 I -PRON- PRP 39713 2894 10 refer refer VBP 39713 2894 11 first first RB 39713 2894 12 to to IN 39713 2894 13 scientific scientific JJ 39713 2894 14 truth truth NN 39713 2894 15 ; ; : 39713 2894 16 but but CC 39713 2894 17 I -PRON- PRP 39713 2894 18 also also RB 39713 2894 19 mean mean VBP 39713 2894 20 moral moral JJ 39713 2894 21 truth truth NN 39713 2894 22 , , , 39713 2894 23 of of IN 39713 2894 24 which which WDT 39713 2894 25 what what WP 39713 2894 26 we -PRON- PRP 39713 2894 27 call call VBP 39713 2894 28 justice justice NN 39713 2894 29 is be VBZ 39713 2894 30 only only RB 39713 2894 31 one one CD 39713 2894 32 aspect aspect NN 39713 2894 33 . . . 39713 2895 1 It -PRON- PRP 39713 2895 2 may may MD 39713 2895 3 seem seem VB 39713 2895 4 that that IN 39713 2895 5 I -PRON- PRP 39713 2895 6 am be VBP 39713 2895 7 misusing misuse VBG 39713 2895 8 words word NNS 39713 2895 9 , , , 39713 2895 10 that that IN 39713 2895 11 I -PRON- PRP 39713 2895 12 combine combine VBP 39713 2895 13 thus thus RB 39713 2895 14 under under IN 39713 2895 15 the the DT 39713 2895 16 same same JJ 39713 2895 17 name name NN 39713 2895 18 two two CD 39713 2895 19 things thing NNS 39713 2895 20 having have VBG 39713 2895 21 nothing nothing NN 39713 2895 22 in in IN 39713 2895 23 common common JJ 39713 2895 24 ; ; : 39713 2895 25 that that IN 39713 2895 26 scientific scientific JJ 39713 2895 27 truth truth NN 39713 2895 28 , , , 39713 2895 29 which which WDT 39713 2895 30 is be VBZ 39713 2895 31 demonstrated demonstrate VBN 39713 2895 32 , , , 39713 2895 33 can can MD 39713 2895 34 in in IN 39713 2895 35 no no DT 39713 2895 36 way way NN 39713 2895 37 be be VB 39713 2895 38 likened liken VBN 39713 2895 39 to to IN 39713 2895 40 moral moral JJ 39713 2895 41 truth truth NN 39713 2895 42 , , , 39713 2895 43 which which WDT 39713 2895 44 is be VBZ 39713 2895 45 felt feel VBN 39713 2895 46 . . . 39713 2896 1 And and CC 39713 2896 2 yet yet RB 39713 2896 3 I -PRON- PRP 39713 2896 4 can can MD 39713 2896 5 not not RB 39713 2896 6 separate separate VB 39713 2896 7 them -PRON- PRP 39713 2896 8 , , , 39713 2896 9 and and CC 39713 2896 10 whosoever whosoever NN 39713 2896 11 loves love VBZ 39713 2896 12 the the DT 39713 2896 13 one one NN 39713 2896 14 can can MD 39713 2896 15 not not RB 39713 2896 16 help help VB 39713 2896 17 loving love VBG 39713 2896 18 the the DT 39713 2896 19 other other JJ 39713 2896 20 . . . 39713 2897 1 To to TO 39713 2897 2 find find VB 39713 2897 3 the the DT 39713 2897 4 one one NN 39713 2897 5 , , , 39713 2897 6 as as RB 39713 2897 7 well well RB 39713 2897 8 as as IN 39713 2897 9 to to TO 39713 2897 10 find find VB 39713 2897 11 the the DT 39713 2897 12 other other JJ 39713 2897 13 , , , 39713 2897 14 it -PRON- PRP 39713 2897 15 is be VBZ 39713 2897 16 necessary necessary JJ 39713 2897 17 to to TO 39713 2897 18 free free VB 39713 2897 19 the the DT 39713 2897 20 soul soul NN 39713 2897 21 completely completely RB 39713 2897 22 from from IN 39713 2897 23 prejudice prejudice NN 39713 2897 24 and and CC 39713 2897 25 from from IN 39713 2897 26 passion passion NN 39713 2897 27 ; ; : 39713 2897 28 it -PRON- PRP 39713 2897 29 is be VBZ 39713 2897 30 necessary necessary JJ 39713 2897 31 to to TO 39713 2897 32 attain attain VB 39713 2897 33 absolute absolute JJ 39713 2897 34 sincerity sincerity NN 39713 2897 35 . . . 39713 2898 1 These these DT 39713 2898 2 two two CD 39713 2898 3 sorts sort NNS 39713 2898 4 of of IN 39713 2898 5 truth truth NN 39713 2898 6 when when WRB 39713 2898 7 discovered discover VBN 39713 2898 8 give give VB 39713 2898 9 the the DT 39713 2898 10 same same JJ 39713 2898 11 joy joy NN 39713 2898 12 ; ; : 39713 2898 13 each each DT 39713 2898 14 when when WRB 39713 2898 15 perceived perceive VBD 39713 2898 16 beams beam NNS 39713 2898 17 with with IN 39713 2898 18 the the DT 39713 2898 19 same same JJ 39713 2898 20 splendor splendor NN 39713 2898 21 , , , 39713 2898 22 so so IN 39713 2898 23 that that IN 39713 2898 24 we -PRON- PRP 39713 2898 25 must must MD 39713 2898 26 see see VB 39713 2898 27 it -PRON- PRP 39713 2898 28 or or CC 39713 2898 29 close close VB 39713 2898 30 our -PRON- PRP$ 39713 2898 31 eyes eye NNS 39713 2898 32 . . . 39713 2899 1 Lastly lastly RB 39713 2899 2 , , , 39713 2899 3 both both DT 39713 2899 4 attract attract VBP 39713 2899 5 us -PRON- PRP 39713 2899 6 and and CC 39713 2899 7 flee flee VBP 39713 2899 8 from from IN 39713 2899 9 us -PRON- PRP 39713 2899 10 ; ; : 39713 2899 11 they -PRON- PRP 39713 2899 12 are be VBP 39713 2899 13 never never RB 39713 2899 14 fixed fix VBN 39713 2899 15 : : : 39713 2899 16 when when WRB 39713 2899 17 we -PRON- PRP 39713 2899 18 think think VBP 39713 2899 19 to to TO 39713 2899 20 have have VB 39713 2899 21 reached reach VBN 39713 2899 22 them -PRON- PRP 39713 2899 23 , , , 39713 2899 24 we -PRON- PRP 39713 2899 25 find find VBP 39713 2899 26 that that IN 39713 2899 27 we -PRON- PRP 39713 2899 28 have have VBP 39713 2899 29 still still RB 39713 2899 30 to to TO 39713 2899 31 advance advance VB 39713 2899 32 , , , 39713 2899 33 and and CC 39713 2899 34 he -PRON- PRP 39713 2899 35 who who WP 39713 2899 36 pursues pursue VBZ 39713 2899 37 them -PRON- PRP 39713 2899 38 is be VBZ 39713 2899 39 condemned condemn VBN 39713 2899 40 never never RB 39713 2899 41 to to TO 39713 2899 42 know know VB 39713 2899 43 repose repose JJ 39713 2899 44 . . . 39713 2900 1 It -PRON- PRP 39713 2900 2 must must MD 39713 2900 3 be be VB 39713 2900 4 added add VBN 39713 2900 5 that that IN 39713 2900 6 those those DT 39713 2900 7 who who WP 39713 2900 8 fear fear VBP 39713 2900 9 the the DT 39713 2900 10 one one NN 39713 2900 11 will will MD 39713 2900 12 also also RB 39713 2900 13 fear fear VB 39713 2900 14 the the DT 39713 2900 15 other other JJ 39713 2900 16 ; ; : 39713 2900 17 for for IN 39713 2900 18 they -PRON- PRP 39713 2900 19 are be VBP 39713 2900 20 the the DT 39713 2900 21 ones one NNS 39713 2900 22 who who WP 39713 2900 23 in in IN 39713 2900 24 everything everything NN 39713 2900 25 are be VBP 39713 2900 26 concerned concern VBN 39713 2900 27 above above IN 39713 2900 28 all all DT 39713 2900 29 with with IN 39713 2900 30 consequences consequence NNS 39713 2900 31 . . . 39713 2901 1 In in IN 39713 2901 2 a a DT 39713 2901 3 word word NN 39713 2901 4 , , , 39713 2901 5 I -PRON- PRP 39713 2901 6 liken liken VBD 39713 2901 7 the the DT 39713 2901 8 two two CD 39713 2901 9 truths truth NNS 39713 2901 10 , , , 39713 2901 11 because because IN 39713 2901 12 the the DT 39713 2901 13 same same JJ 39713 2901 14 reasons reason NNS 39713 2901 15 make make VBP 39713 2901 16 us -PRON- PRP 39713 2901 17 love love VB 39713 2901 18 them -PRON- PRP 39713 2901 19 and and CC 39713 2901 20 because because IN 39713 2901 21 the the DT 39713 2901 22 same same JJ 39713 2901 23 reasons reason NNS 39713 2901 24 make make VBP 39713 2901 25 us -PRON- PRP 39713 2901 26 fear fear VB 39713 2901 27 them -PRON- PRP 39713 2901 28 . . . 39713 2902 1 If if IN 39713 2902 2 we -PRON- PRP 39713 2902 3 ought ought MD 39713 2902 4 not not RB 39713 2902 5 to to TO 39713 2902 6 fear fear VB 39713 2902 7 moral moral JJ 39713 2902 8 truth truth NN 39713 2902 9 , , , 39713 2902 10 still still RB 39713 2902 11 less less JJR 39713 2902 12 should should MD 39713 2902 13 we -PRON- PRP 39713 2902 14 dread dread VB 39713 2902 15 scientific scientific JJ 39713 2902 16 truth truth NN 39713 2902 17 . . . 39713 2903 1 In in IN 39713 2903 2 the the DT 39713 2903 3 first first JJ 39713 2903 4 place place NN 39713 2903 5 it -PRON- PRP 39713 2903 6 can can MD 39713 2903 7 not not RB 39713 2903 8 conflict conflict VB 39713 2903 9 with with IN 39713 2903 10 ethics ethic NNS 39713 2903 11 . . . 39713 2904 1 Ethics ethic NNS 39713 2904 2 and and CC 39713 2904 3 science science NN 39713 2904 4 have have VBP 39713 2904 5 their -PRON- PRP$ 39713 2904 6 own own JJ 39713 2904 7 domains domain NNS 39713 2904 8 , , , 39713 2904 9 which which WDT 39713 2904 10 touch touch VBP 39713 2904 11 but but CC 39713 2904 12 do do VBP 39713 2904 13 not not RB 39713 2904 14 interpenetrate interpenetrate VB 39713 2904 15 . . . 39713 2905 1 The the DT 39713 2905 2 one one NN 39713 2905 3 shows show VBZ 39713 2905 4 us -PRON- PRP 39713 2905 5 to to IN 39713 2905 6 what what WP 39713 2905 7 goal goal NN 39713 2905 8 we -PRON- PRP 39713 2905 9 should should MD 39713 2905 10 aspire aspire VB 39713 2905 11 , , , 39713 2905 12 the the DT 39713 2905 13 other other JJ 39713 2905 14 , , , 39713 2905 15 given give VBN 39713 2905 16 the the DT 39713 2905 17 goal goal NN 39713 2905 18 , , , 39713 2905 19 teaches teach VBZ 39713 2905 20 us -PRON- PRP 39713 2905 21 how how WRB 39713 2905 22 to to TO 39713 2905 23 attain attain VB 39713 2905 24 it -PRON- PRP 39713 2905 25 . . . 39713 2906 1 So so RB 39713 2906 2 they -PRON- PRP 39713 2906 3 can can MD 39713 2906 4 never never RB 39713 2906 5 conflict conflict VB 39713 2906 6 since since IN 39713 2906 7 they -PRON- PRP 39713 2906 8 can can MD 39713 2906 9 never never RB 39713 2906 10 meet meet VB 39713 2906 11 . . . 39713 2907 1 There there EX 39713 2907 2 can can MD 39713 2907 3 no no RB 39713 2907 4 more more RBR 39713 2907 5 be be VB 39713 2907 6 immoral immoral JJ 39713 2907 7 science science NN 39713 2907 8 than than IN 39713 2907 9 there there EX 39713 2907 10 can can MD 39713 2907 11 be be VB 39713 2907 12 scientific scientific JJ 39713 2907 13 morals moral NNS 39713 2907 14 . . . 39713 2908 1 But but CC 39713 2908 2 if if IN 39713 2908 3 science science NN 39713 2908 4 is be VBZ 39713 2908 5 feared fear VBN 39713 2908 6 , , , 39713 2908 7 it -PRON- PRP 39713 2908 8 is be VBZ 39713 2908 9 above above IN 39713 2908 10 all all DT 39713 2908 11 because because IN 39713 2908 12 it -PRON- PRP 39713 2908 13 can can MD 39713 2908 14 not not RB 39713 2908 15 give give VB 39713 2908 16 us -PRON- PRP 39713 2908 17 happiness happiness NN 39713 2908 18 . . . 39713 2909 1 Of of RB 39713 2909 2 course course RB 39713 2909 3 it -PRON- PRP 39713 2909 4 can can MD 39713 2909 5 not not RB 39713 2909 6 . . . 39713 2910 1 We -PRON- PRP 39713 2910 2 may may MD 39713 2910 3 even even RB 39713 2910 4 ask ask VB 39713 2910 5 whether whether IN 39713 2910 6 the the DT 39713 2910 7 beast beast NN 39713 2910 8 does do VBZ 39713 2910 9 not not RB 39713 2910 10 suffer suffer VB 39713 2910 11 less less JJR 39713 2910 12 than than IN 39713 2910 13 man man NN 39713 2910 14 . . . 39713 2911 1 But but CC 39713 2911 2 can can MD 39713 2911 3 we -PRON- PRP 39713 2911 4 regret regret VB 39713 2911 5 that that IN 39713 2911 6 earthly earthly JJ 39713 2911 7 paradise paradise NNP 39713 2911 8 where where WRB 39713 2911 9 man man NN 39713 2911 10 brute brute NNP 39713 2911 11 - - HYPH 39713 2911 12 like like JJ 39713 2911 13 was be VBD 39713 2911 14 really really RB 39713 2911 15 immortal immortal JJ 39713 2911 16 in in IN 39713 2911 17 knowing know VBG 39713 2911 18 not not RB 39713 2911 19 that that IN 39713 2911 20 he -PRON- PRP 39713 2911 21 must must MD 39713 2911 22 die die VB 39713 2911 23 ? ? . 39713 2912 1 When when WRB 39713 2912 2 we -PRON- PRP 39713 2912 3 have have VBP 39713 2912 4 tasted taste VBN 39713 2912 5 the the DT 39713 2912 6 apple apple NN 39713 2912 7 , , , 39713 2912 8 no no DT 39713 2912 9 suffering suffering NN 39713 2912 10 can can MD 39713 2912 11 make make VB 39713 2912 12 us -PRON- PRP 39713 2912 13 forget forget VB 39713 2912 14 its -PRON- PRP$ 39713 2912 15 savor savor NN 39713 2912 16 . . . 39713 2913 1 We -PRON- PRP 39713 2913 2 always always RB 39713 2913 3 come come VBP 39713 2913 4 back back RB 39713 2913 5 to to IN 39713 2913 6 it -PRON- PRP 39713 2913 7 . . . 39713 2914 1 Could Could MD 39713 2914 2 it -PRON- PRP 39713 2914 3 be be VB 39713 2914 4 otherwise otherwise RB 39713 2914 5 ? ? . 39713 2915 1 As as IN 39713 2915 2 well well RB 39713 2915 3 ask ask VB 39713 2915 4 if if IN 39713 2915 5 one one NN 39713 2915 6 who who WP 39713 2915 7 has have VBZ 39713 2915 8 seen see VBN 39713 2915 9 and and CC 39713 2915 10 is be VBZ 39713 2915 11 blind blind JJ 39713 2915 12 will will MD 39713 2915 13 not not RB 39713 2915 14 long long VB 39713 2915 15 for for IN 39713 2915 16 the the DT 39713 2915 17 light light NN 39713 2915 18 . . . 39713 2916 1 Man man NN 39713 2916 2 , , , 39713 2916 3 then then RB 39713 2916 4 , , , 39713 2916 5 can can MD 39713 2916 6 not not RB 39713 2916 7 be be VB 39713 2916 8 happy happy JJ 39713 2916 9 through through IN 39713 2916 10 science science NN 39713 2916 11 , , , 39713 2916 12 but but CC 39713 2916 13 to to IN 39713 2916 14 - - HYPH 39713 2916 15 day day NN 39713 2916 16 he -PRON- PRP 39713 2916 17 can can MD 39713 2916 18 much much RB 39713 2916 19 less less RBR 39713 2916 20 be be VB 39713 2916 21 happy happy JJ 39713 2916 22 without without IN 39713 2916 23 it -PRON- PRP 39713 2916 24 . . . 39713 2917 1 But but CC 39713 2917 2 if if IN 39713 2917 3 truth truth NN 39713 2917 4 be be VB 39713 2917 5 the the DT 39713 2917 6 sole sole JJ 39713 2917 7 aim aim NN 39713 2917 8 worth worth JJ 39713 2917 9 pursuing pursue VBG 39713 2917 10 , , , 39713 2917 11 may may MD 39713 2917 12 we -PRON- PRP 39713 2917 13 hope hope VB 39713 2917 14 to to TO 39713 2917 15 attain attain VB 39713 2917 16 it -PRON- PRP 39713 2917 17 ? ? . 39713 2918 1 It -PRON- PRP 39713 2918 2 may may MD 39713 2918 3 well well RB 39713 2918 4 be be VB 39713 2918 5 doubted doubt VBN 39713 2918 6 . . . 39713 2919 1 Readers reader NNS 39713 2919 2 of of IN 39713 2919 3 my -PRON- PRP$ 39713 2919 4 little little JJ 39713 2919 5 book book NN 39713 2919 6 ' ' '' 39713 2919 7 Science science NN 39713 2919 8 and and CC 39713 2919 9 Hypothesis Hypothesis NNP 39713 2919 10 ' ' '' 39713 2919 11 already already RB 39713 2919 12 know know VB 39713 2919 13 what what WP 39713 2919 14 I -PRON- PRP 39713 2919 15 think think VBP 39713 2919 16 about about IN 39713 2919 17 the the DT 39713 2919 18 question question NN 39713 2919 19 . . . 39713 2920 1 The the DT 39713 2920 2 truth truth NN 39713 2920 3 we -PRON- PRP 39713 2920 4 are be VBP 39713 2920 5 permitted permit VBN 39713 2920 6 to to TO 39713 2920 7 glimpse glimpse VB 39713 2920 8 is be VBZ 39713 2920 9 not not RB 39713 2920 10 altogether altogether RB 39713 2920 11 what what WP 39713 2920 12 most most JJS 39713 2920 13 men man NNS 39713 2920 14 call call VBP 39713 2920 15 by by IN 39713 2920 16 that that DT 39713 2920 17 name name NN 39713 2920 18 . . . 39713 2921 1 Does do VBZ 39713 2921 2 this this DT 39713 2921 3 mean mean VB 39713 2921 4 that that IN 39713 2921 5 our -PRON- PRP$ 39713 2921 6 most most RBS 39713 2921 7 legitimate legitimate JJ 39713 2921 8 , , , 39713 2921 9 most most RBS 39713 2921 10 imperative imperative JJ 39713 2921 11 aspiration aspiration NN 39713 2921 12 is be VBZ 39713 2921 13 at at IN 39713 2921 14 the the DT 39713 2921 15 same same JJ 39713 2921 16 time time NN 39713 2921 17 the the DT 39713 2921 18 most most RBS 39713 2921 19 vain vain JJ 39713 2921 20 ? ? . 39713 2922 1 Or or CC 39713 2922 2 can can MD 39713 2922 3 we -PRON- PRP 39713 2922 4 , , , 39713 2922 5 despite despite IN 39713 2922 6 all all DT 39713 2922 7 , , , 39713 2922 8 approach approach VBP 39713 2922 9 truth truth NN 39713 2922 10 on on IN 39713 2922 11 some some DT 39713 2922 12 side side NN 39713 2922 13 ? ? . 39713 2923 1 This this DT 39713 2923 2 it -PRON- PRP 39713 2923 3 is be VBZ 39713 2923 4 which which WDT 39713 2923 5 must must MD 39713 2923 6 be be VB 39713 2923 7 investigated investigate VBN 39713 2923 8 . . . 39713 2924 1 In in IN 39713 2924 2 the the DT 39713 2924 3 first first JJ 39713 2924 4 place place NN 39713 2924 5 , , , 39713 2924 6 what what WDT 39713 2924 7 instrument instrument NN 39713 2924 8 have have VBP 39713 2924 9 we -PRON- PRP 39713 2924 10 at at IN 39713 2924 11 our -PRON- PRP$ 39713 2924 12 disposal disposal NN 39713 2924 13 for for IN 39713 2924 14 this this DT 39713 2924 15 conquest conquest NN 39713 2924 16 ? ? . 39713 2925 1 Is be VBZ 39713 2925 2 not not RB 39713 2925 3 human human JJ 39713 2925 4 intelligence intelligence NN 39713 2925 5 , , , 39713 2925 6 more more RBR 39713 2925 7 specifically specifically RB 39713 2925 8 the the DT 39713 2925 9 intelligence intelligence NN 39713 2925 10 of of IN 39713 2925 11 the the DT 39713 2925 12 scientist scientist NN 39713 2925 13 , , , 39713 2925 14 susceptible susceptible JJ 39713 2925 15 of of IN 39713 2925 16 infinite infinite JJ 39713 2925 17 variation variation NN 39713 2925 18 ? ? . 39713 2926 1 Volumes volume NNS 39713 2926 2 could could MD 39713 2926 3 be be VB 39713 2926 4 written write VBN 39713 2926 5 without without IN 39713 2926 6 exhausting exhaust VBG 39713 2926 7 this this DT 39713 2926 8 subject subject NN 39713 2926 9 ; ; : 39713 2926 10 I -PRON- PRP 39713 2926 11 , , , 39713 2926 12 in in IN 39713 2926 13 a a DT 39713 2926 14 few few JJ 39713 2926 15 brief brief JJ 39713 2926 16 pages page NNS 39713 2926 17 , , , 39713 2926 18 have have VBP 39713 2926 19 only only RB 39713 2926 20 touched touch VBN 39713 2926 21 it -PRON- PRP 39713 2926 22 lightly lightly RB 39713 2926 23 . . . 39713 2927 1 That that IN 39713 2927 2 the the DT 39713 2927 3 geometer geometer NN 39713 2927 4 's 's POS 39713 2927 5 mind mind NN 39713 2927 6 is be VBZ 39713 2927 7 not not RB 39713 2927 8 like like IN 39713 2927 9 the the DT 39713 2927 10 physicist physicist NN 39713 2927 11 's 's POS 39713 2927 12 or or CC 39713 2927 13 the the DT 39713 2927 14 naturalist naturalist NN 39713 2927 15 's 's POS 39713 2927 16 , , , 39713 2927 17 all all PDT 39713 2927 18 the the DT 39713 2927 19 world world NN 39713 2927 20 would would MD 39713 2927 21 agree agree VB 39713 2927 22 ; ; : 39713 2927 23 but but CC 39713 2927 24 mathematicians mathematician NNS 39713 2927 25 themselves -PRON- PRP 39713 2927 26 do do VBP 39713 2927 27 not not RB 39713 2927 28 resemble resemble VB 39713 2927 29 each each DT 39713 2927 30 other other JJ 39713 2927 31 ; ; : 39713 2927 32 some some DT 39713 2927 33 recognize recognize VBP 39713 2927 34 only only RB 39713 2927 35 implacable implacable JJ 39713 2927 36 logic logic NN 39713 2927 37 , , , 39713 2927 38 others other NNS 39713 2927 39 appeal appeal VBP 39713 2927 40 to to IN 39713 2927 41 intuition intuition NN 39713 2927 42 and and CC 39713 2927 43 see see VB 39713 2927 44 in in IN 39713 2927 45 it -PRON- PRP 39713 2927 46 the the DT 39713 2927 47 only only JJ 39713 2927 48 source source NN 39713 2927 49 of of IN 39713 2927 50 discovery discovery NN 39713 2927 51 . . . 39713 2928 1 And and CC 39713 2928 2 this this DT 39713 2928 3 would would MD 39713 2928 4 be be VB 39713 2928 5 a a DT 39713 2928 6 reason reason NN 39713 2928 7 for for IN 39713 2928 8 distrust distrust NN 39713 2928 9 . . . 39713 2929 1 To to IN 39713 2929 2 minds mind NNS 39713 2929 3 so so RB 39713 2929 4 unlike unlike RB 39713 2929 5 can can MD 39713 2929 6 the the DT 39713 2929 7 mathematical mathematical JJ 39713 2929 8 theorems theorem NNS 39713 2929 9 themselves -PRON- PRP 39713 2929 10 appear appear VBP 39713 2929 11 in in IN 39713 2929 12 the the DT 39713 2929 13 same same JJ 39713 2929 14 light light NN 39713 2929 15 ? ? . 39713 2930 1 Truth truth NN 39713 2930 2 which which WDT 39713 2930 3 is be VBZ 39713 2930 4 not not RB 39713 2930 5 the the DT 39713 2930 6 same same JJ 39713 2930 7 for for IN 39713 2930 8 all all DT 39713 2930 9 , , , 39713 2930 10 is be VBZ 39713 2930 11 it -PRON- PRP 39713 2930 12 truth truth JJ 39713 2930 13 ? ? . 39713 2931 1 But but CC 39713 2931 2 looking look VBG 39713 2931 3 at at IN 39713 2931 4 things thing NNS 39713 2931 5 more more RBR 39713 2931 6 closely closely RB 39713 2931 7 , , , 39713 2931 8 we -PRON- PRP 39713 2931 9 see see VBP 39713 2931 10 how how WRB 39713 2931 11 these these DT 39713 2931 12 very very RB 39713 2931 13 different different JJ 39713 2931 14 workers worker NNS 39713 2931 15 collaborate collaborate VBP 39713 2931 16 in in IN 39713 2931 17 a a DT 39713 2931 18 common common JJ 39713 2931 19 task task NN 39713 2931 20 which which WDT 39713 2931 21 could could MD 39713 2931 22 not not RB 39713 2931 23 be be VB 39713 2931 24 achieved achieve VBN 39713 2931 25 without without IN 39713 2931 26 their -PRON- PRP$ 39713 2931 27 cooperation cooperation NN 39713 2931 28 . . . 39713 2932 1 And and CC 39713 2932 2 that that IN 39713 2932 3 already already RB 39713 2932 4 reassures reassure VBZ 39713 2932 5 us -PRON- PRP 39713 2932 6 . . . 39713 2933 1 Next next JJ 39713 2933 2 must must MD 39713 2933 3 be be VB 39713 2933 4 examined examine VBN 39713 2933 5 the the DT 39713 2933 6 frames frame NNS 39713 2933 7 in in IN 39713 2933 8 which which WDT 39713 2933 9 nature nature NN 39713 2933 10 seems seem VBZ 39713 2933 11 enclosed enclose VBN 39713 2933 12 and and CC 39713 2933 13 which which WDT 39713 2933 14 are be VBP 39713 2933 15 called call VBN 39713 2933 16 time time NN 39713 2933 17 and and CC 39713 2933 18 space space NN 39713 2933 19 . . . 39713 2934 1 In in IN 39713 2934 2 ' ' `` 39713 2934 3 Science Science NNP 39713 2934 4 and and CC 39713 2934 5 Hypothesis Hypothesis NNP 39713 2934 6 ' ' '' 39713 2934 7 I -PRON- PRP 39713 2934 8 have have VBP 39713 2934 9 already already RB 39713 2934 10 shown show VBN 39713 2934 11 how how WRB 39713 2934 12 relative relative JJ 39713 2934 13 their -PRON- PRP$ 39713 2934 14 value value NN 39713 2934 15 is be VBZ 39713 2934 16 ; ; : 39713 2934 17 it -PRON- PRP 39713 2934 18 is be VBZ 39713 2934 19 not not RB 39713 2934 20 nature nature NN 39713 2934 21 which which WDT 39713 2934 22 imposes impose VBZ 39713 2934 23 them -PRON- PRP 39713 2934 24 upon upon IN 39713 2934 25 us -PRON- PRP 39713 2934 26 , , , 39713 2934 27 it -PRON- PRP 39713 2934 28 is be VBZ 39713 2934 29 we -PRON- PRP 39713 2934 30 who who WP 39713 2934 31 impose impose VBP 39713 2934 32 them -PRON- PRP 39713 2934 33 upon upon IN 39713 2934 34 nature nature NN 39713 2934 35 because because IN 39713 2934 36 we -PRON- PRP 39713 2934 37 find find VBP 39713 2934 38 them -PRON- PRP 39713 2934 39 convenient convenient JJ 39713 2934 40 . . . 39713 2935 1 But but CC 39713 2935 2 I -PRON- PRP 39713 2935 3 have have VBP 39713 2935 4 spoken speak VBN 39713 2935 5 of of IN 39713 2935 6 scarcely scarcely RB 39713 2935 7 more more JJR 39713 2935 8 than than IN 39713 2935 9 space space NN 39713 2935 10 , , , 39713 2935 11 and and CC 39713 2935 12 particularly particularly RB 39713 2935 13 quantitative quantitative JJ 39713 2935 14 space space NN 39713 2935 15 , , , 39713 2935 16 so so RB 39713 2935 17 to to TO 39713 2935 18 say say VB 39713 2935 19 , , , 39713 2935 20 that that DT 39713 2935 21 is be VBZ 39713 2935 22 of of IN 39713 2935 23 the the DT 39713 2935 24 mathematical mathematical JJ 39713 2935 25 relations relation NNS 39713 2935 26 whose whose WP$ 39713 2935 27 aggregate aggregate NN 39713 2935 28 constitutes constitute VBZ 39713 2935 29 geometry geometry NN 39713 2935 30 . . . 39713 2936 1 I -PRON- PRP 39713 2936 2 should should MD 39713 2936 3 have have VB 39713 2936 4 shown show VBN 39713 2936 5 that that IN 39713 2936 6 it -PRON- PRP 39713 2936 7 is be VBZ 39713 2936 8 the the DT 39713 2936 9 same same JJ 39713 2936 10 with with IN 39713 2936 11 time time NN 39713 2936 12 as as IN 39713 2936 13 with with IN 39713 2936 14 space space NN 39713 2936 15 and and CC 39713 2936 16 still still RB 39713 2936 17 the the DT 39713 2936 18 same same JJ 39713 2936 19 with with IN 39713 2936 20 ' ' `` 39713 2936 21 qualitative qualitative JJ 39713 2936 22 space space NN 39713 2936 23 ' ' '' 39713 2936 24 ; ; : 39713 2936 25 in in IN 39713 2936 26 particular particular JJ 39713 2936 27 , , , 39713 2936 28 I -PRON- PRP 39713 2936 29 should should MD 39713 2936 30 have have VB 39713 2936 31 investigated investigate VBN 39713 2936 32 why why WRB 39713 2936 33 we -PRON- PRP 39713 2936 34 attribute attribute VBP 39713 2936 35 three three CD 39713 2936 36 dimensions dimension NNS 39713 2936 37 to to IN 39713 2936 38 space space NN 39713 2936 39 . . . 39713 2937 1 I -PRON- PRP 39713 2937 2 may may MD 39713 2937 3 be be VB 39713 2937 4 pardoned pardon VBN 39713 2937 5 then then RB 39713 2937 6 for for IN 39713 2937 7 taking take VBG 39713 2937 8 up up RP 39713 2937 9 again again RB 39713 2937 10 these these DT 39713 2937 11 important important JJ 39713 2937 12 questions question NNS 39713 2937 13 . . . 39713 2938 1 Is be VBZ 39713 2938 2 mathematical mathematical JJ 39713 2938 3 analysis analysis NN 39713 2938 4 , , , 39713 2938 5 then then RB 39713 2938 6 , , , 39713 2938 7 whose whose WP$ 39713 2938 8 principal principal JJ 39713 2938 9 object object NN 39713 2938 10 is be VBZ 39713 2938 11 the the DT 39713 2938 12 study study NN 39713 2938 13 of of IN 39713 2938 14 these these DT 39713 2938 15 empty empty JJ 39713 2938 16 frames frame NNS 39713 2938 17 , , , 39713 2938 18 only only RB 39713 2938 19 a a DT 39713 2938 20 vain vain JJ 39713 2938 21 play play NN 39713 2938 22 of of IN 39713 2938 23 the the DT 39713 2938 24 mind mind NN 39713 2938 25 ? ? . 39713 2939 1 It -PRON- PRP 39713 2939 2 can can MD 39713 2939 3 give give VB 39713 2939 4 to to IN 39713 2939 5 the the DT 39713 2939 6 physicist physicist NN 39713 2939 7 only only RB 39713 2939 8 a a DT 39713 2939 9 convenient convenient JJ 39713 2939 10 language language NN 39713 2939 11 ; ; : 39713 2939 12 is be VBZ 39713 2939 13 this this DT 39713 2939 14 not not RB 39713 2939 15 a a DT 39713 2939 16 mediocre mediocre JJ 39713 2939 17 service service NN 39713 2939 18 , , , 39713 2939 19 which which WDT 39713 2939 20 , , , 39713 2939 21 strictly strictly RB 39713 2939 22 speaking speak VBG 39713 2939 23 , , , 39713 2939 24 could could MD 39713 2939 25 be be VB 39713 2939 26 done do VBN 39713 2939 27 without without IN 39713 2939 28 ; ; : 39713 2939 29 and and CC 39713 2939 30 even even RB 39713 2939 31 is be VBZ 39713 2939 32 it -PRON- PRP 39713 2939 33 not not RB 39713 2939 34 to to TO 39713 2939 35 be be VB 39713 2939 36 feared fear VBN 39713 2939 37 that that IN 39713 2939 38 this this DT 39713 2939 39 artificial artificial JJ 39713 2939 40 language language NN 39713 2939 41 may may MD 39713 2939 42 be be VB 39713 2939 43 a a DT 39713 2939 44 veil veil NN 39713 2939 45 interposed interpose VBN 39713 2939 46 between between IN 39713 2939 47 reality reality NN 39713 2939 48 and and CC 39713 2939 49 the the DT 39713 2939 50 eye eye NN 39713 2939 51 of of IN 39713 2939 52 the the DT 39713 2939 53 physicist physicist NN 39713 2939 54 ? ? . 39713 2940 1 Far far RB 39713 2940 2 from from IN 39713 2940 3 it -PRON- PRP 39713 2940 4 ; ; : 39713 2940 5 without without IN 39713 2940 6 this this DT 39713 2940 7 language language NN 39713 2940 8 most most JJS 39713 2940 9 of of IN 39713 2940 10 the the DT 39713 2940 11 intimate intimate JJ 39713 2940 12 analogies analogy NNS 39713 2940 13 of of IN 39713 2940 14 things thing NNS 39713 2940 15 would would MD 39713 2940 16 have have VB 39713 2940 17 remained remain VBN 39713 2940 18 forever forever RB 39713 2940 19 unknown unknown JJ 39713 2940 20 to to IN 39713 2940 21 us -PRON- PRP 39713 2940 22 ; ; : 39713 2940 23 and and CC 39713 2940 24 we -PRON- PRP 39713 2940 25 should should MD 39713 2940 26 forever forever RB 39713 2940 27 have have VB 39713 2940 28 been be VBN 39713 2940 29 ignorant ignorant JJ 39713 2940 30 of of IN 39713 2940 31 the the DT 39713 2940 32 internal internal JJ 39713 2940 33 harmony harmony NN 39713 2940 34 of of IN 39713 2940 35 the the DT 39713 2940 36 world world NN 39713 2940 37 , , , 39713 2940 38 which which WDT 39713 2940 39 is be VBZ 39713 2940 40 , , , 39713 2940 41 we -PRON- PRP 39713 2940 42 shall shall MD 39713 2940 43 see see VB 39713 2940 44 , , , 39713 2940 45 the the DT 39713 2940 46 only only JJ 39713 2940 47 true true JJ 39713 2940 48 objective objective JJ 39713 2940 49 reality reality NN 39713 2940 50 . . . 39713 2941 1 The the DT 39713 2941 2 best good JJS 39713 2941 3 expression expression NN 39713 2941 4 of of IN 39713 2941 5 this this DT 39713 2941 6 harmony harmony NN 39713 2941 7 is be VBZ 39713 2941 8 law law NN 39713 2941 9 . . . 39713 2942 1 Law Law NNP 39713 2942 2 is be VBZ 39713 2942 3 one one CD 39713 2942 4 of of IN 39713 2942 5 the the DT 39713 2942 6 most most RBS 39713 2942 7 recent recent JJ 39713 2942 8 conquests conquest NNS 39713 2942 9 of of IN 39713 2942 10 the the DT 39713 2942 11 human human JJ 39713 2942 12 mind mind NN 39713 2942 13 ; ; , 39713 2942 14 there there EX 39713 2942 15 still still RB 39713 2942 16 are be VBP 39713 2942 17 people people NNS 39713 2942 18 who who WP 39713 2942 19 live live VBP 39713 2942 20 in in IN 39713 2942 21 the the DT 39713 2942 22 presence presence NN 39713 2942 23 of of IN 39713 2942 24 a a DT 39713 2942 25 perpetual perpetual JJ 39713 2942 26 miracle miracle NN 39713 2942 27 and and CC 39713 2942 28 are be VBP 39713 2942 29 not not RB 39713 2942 30 astonished astonished JJ 39713 2942 31 at at IN 39713 2942 32 it -PRON- PRP 39713 2942 33 . . . 39713 2943 1 On on IN 39713 2943 2 the the DT 39713 2943 3 contrary contrary NN 39713 2943 4 , , , 39713 2943 5 we -PRON- PRP 39713 2943 6 it -PRON- PRP 39713 2943 7 is be VBZ 39713 2943 8 who who WP 39713 2943 9 should should MD 39713 2943 10 be be VB 39713 2943 11 astonished astonish VBN 39713 2943 12 at at IN 39713 2943 13 nature nature NN 39713 2943 14 's 's POS 39713 2943 15 regularity regularity NN 39713 2943 16 . . . 39713 2944 1 Men men NN 39713 2944 2 demand demand NN 39713 2944 3 of of IN 39713 2944 4 their -PRON- PRP$ 39713 2944 5 gods god NNS 39713 2944 6 to to TO 39713 2944 7 prove prove VB 39713 2944 8 their -PRON- PRP$ 39713 2944 9 existence existence NN 39713 2944 10 by by IN 39713 2944 11 miracles miracle NNS 39713 2944 12 ; ; : 39713 2944 13 but but CC 39713 2944 14 the the DT 39713 2944 15 eternal eternal JJ 39713 2944 16 marvel marvel NN 39713 2944 17 is be VBZ 39713 2944 18 that that IN 39713 2944 19 there there EX 39713 2944 20 are be VBP 39713 2944 21 not not RB 39713 2944 22 miracles miracle NNS 39713 2944 23 without without IN 39713 2944 24 cease cease NN 39713 2944 25 . . . 39713 2945 1 The the DT 39713 2945 2 world world NN 39713 2945 3 is be VBZ 39713 2945 4 divine divine JJ 39713 2945 5 because because IN 39713 2945 6 it -PRON- PRP 39713 2945 7 is be VBZ 39713 2945 8 a a DT 39713 2945 9 harmony harmony NN 39713 2945 10 . . . 39713 2946 1 If if IN 39713 2946 2 it -PRON- PRP 39713 2946 3 were be VBD 39713 2946 4 ruled rule VBN 39713 2946 5 by by IN 39713 2946 6 caprice caprice NN 39713 2946 7 , , , 39713 2946 8 what what WP 39713 2946 9 could could MD 39713 2946 10 prove prove VB 39713 2946 11 to to IN 39713 2946 12 us -PRON- PRP 39713 2946 13 it -PRON- PRP 39713 2946 14 was be VBD 39713 2946 15 not not RB 39713 2946 16 ruled rule VBN 39713 2946 17 by by IN 39713 2946 18 chance chance NN 39713 2946 19 ? ? . 39713 2947 1 This this DT 39713 2947 2 conquest conquest NN 39713 2947 3 of of IN 39713 2947 4 law law NN 39713 2947 5 we -PRON- PRP 39713 2947 6 owe owe VBP 39713 2947 7 to to TO 39713 2947 8 astronomy astronomy VB 39713 2947 9 , , , 39713 2947 10 and and CC 39713 2947 11 just just RB 39713 2947 12 this this DT 39713 2947 13 makes make VBZ 39713 2947 14 the the DT 39713 2947 15 grandeur grandeur NN 39713 2947 16 of of IN 39713 2947 17 the the DT 39713 2947 18 science science NN 39713 2947 19 rather rather RB 39713 2947 20 than than IN 39713 2947 21 the the DT 39713 2947 22 material material JJ 39713 2947 23 grandeur grandeur NN 39713 2947 24 of of IN 39713 2947 25 the the DT 39713 2947 26 objects object NNS 39713 2947 27 it -PRON- PRP 39713 2947 28 considers consider VBZ 39713 2947 29 . . . 39713 2948 1 It -PRON- PRP 39713 2948 2 was be VBD 39713 2948 3 altogether altogether RB 39713 2948 4 natural natural JJ 39713 2948 5 , , , 39713 2948 6 then then RB 39713 2948 7 , , , 39713 2948 8 that that IN 39713 2948 9 celestial celestial JJ 39713 2948 10 mechanics mechanic NNS 39713 2948 11 should should MD 39713 2948 12 be be VB 39713 2948 13 the the DT 39713 2948 14 first first JJ 39713 2948 15 model model NN 39713 2948 16 of of IN 39713 2948 17 mathematical mathematical JJ 39713 2948 18 physics physics NN 39713 2948 19 ; ; : 39713 2948 20 but but CC 39713 2948 21 since since IN 39713 2948 22 then then RB 39713 2948 23 this this DT 39713 2948 24 science science NN 39713 2948 25 has have VBZ 39713 2948 26 developed develop VBN 39713 2948 27 ; ; : 39713 2948 28 it -PRON- PRP 39713 2948 29 is be VBZ 39713 2948 30 still still RB 39713 2948 31 developing develop VBG 39713 2948 32 , , , 39713 2948 33 even even RB 39713 2948 34 rapidly rapidly RB 39713 2948 35 developing develop VBG 39713 2948 36 . . . 39713 2949 1 And and CC 39713 2949 2 it -PRON- PRP 39713 2949 3 is be VBZ 39713 2949 4 already already RB 39713 2949 5 necessary necessary JJ 39713 2949 6 to to TO 39713 2949 7 modify modify VB 39713 2949 8 in in IN 39713 2949 9 certain certain JJ 39713 2949 10 points point NNS 39713 2949 11 the the DT 39713 2949 12 scheme scheme NN 39713 2949 13 from from IN 39713 2949 14 which which WDT 39713 2949 15 I -PRON- PRP 39713 2949 16 drew draw VBD 39713 2949 17 two two CD 39713 2949 18 chapters chapter NNS 39713 2949 19 of of IN 39713 2949 20 ' ' `` 39713 2949 21 Science Science NNP 39713 2949 22 and and CC 39713 2949 23 Hypothesis Hypothesis NNP 39713 2949 24 . . . 39713 2949 25 ' ' '' 39713 2950 1 In in IN 39713 2950 2 an an DT 39713 2950 3 address address NN 39713 2950 4 at at IN 39713 2950 5 the the DT 39713 2950 6 St. St. NNP 39713 2950 7 Louis Louis NNP 39713 2950 8 exposition exposition NN 39713 2950 9 , , , 39713 2950 10 I -PRON- PRP 39713 2950 11 sought seek VBD 39713 2950 12 to to TO 39713 2950 13 survey survey VB 39713 2950 14 the the DT 39713 2950 15 road road NN 39713 2950 16 traveled travel VBD 39713 2950 17 ; ; : 39713 2950 18 the the DT 39713 2950 19 result result NN 39713 2950 20 of of IN 39713 2950 21 this this DT 39713 2950 22 investigation investigation NN 39713 2950 23 the the DT 39713 2950 24 reader reader NN 39713 2950 25 shall shall MD 39713 2950 26 see see VB 39713 2950 27 farther farther RB 39713 2950 28 on on RB 39713 2950 29 . . . 39713 2951 1 The the DT 39713 2951 2 progress progress NN 39713 2951 3 of of IN 39713 2951 4 science science NN 39713 2951 5 has have VBZ 39713 2951 6 seemed seem VBN 39713 2951 7 to to TO 39713 2951 8 imperil imperil VB 39713 2951 9 the the DT 39713 2951 10 best well RBS 39713 2951 11 established established JJ 39713 2951 12 principles principle NNS 39713 2951 13 , , , 39713 2951 14 those those DT 39713 2951 15 even even RB 39713 2951 16 which which WDT 39713 2951 17 were be VBD 39713 2951 18 regarded regard VBN 39713 2951 19 as as IN 39713 2951 20 fundamental fundamental JJ 39713 2951 21 . . . 39713 2952 1 Yet yet RB 39713 2952 2 nothing nothing NN 39713 2952 3 shows show VBZ 39713 2952 4 they -PRON- PRP 39713 2952 5 will will MD 39713 2952 6 not not RB 39713 2952 7 be be VB 39713 2952 8 saved save VBN 39713 2952 9 ; ; : 39713 2952 10 and and CC 39713 2952 11 if if IN 39713 2952 12 this this DT 39713 2952 13 comes come VBZ 39713 2952 14 about about RP 39713 2952 15 only only RB 39713 2952 16 imperfectly imperfectly RB 39713 2952 17 , , , 39713 2952 18 they -PRON- PRP 39713 2952 19 will will MD 39713 2952 20 still still RB 39713 2952 21 subsist subsist VB 39713 2952 22 even even RB 39713 2952 23 though though IN 39713 2952 24 they -PRON- PRP 39713 2952 25 are be VBP 39713 2952 26 modified modify VBN 39713 2952 27 . . . 39713 2953 1 The the DT 39713 2953 2 advance advance NN 39713 2953 3 of of IN 39713 2953 4 science science NN 39713 2953 5 is be VBZ 39713 2953 6 not not RB 39713 2953 7 comparable comparable JJ 39713 2953 8 to to IN 39713 2953 9 the the DT 39713 2953 10 changes change NNS 39713 2953 11 of of IN 39713 2953 12 a a DT 39713 2953 13 city city NN 39713 2953 14 , , , 39713 2953 15 where where WRB 39713 2953 16 old old JJ 39713 2953 17 edifices edifice NNS 39713 2953 18 are be VBP 39713 2953 19 pitilessly pitilessly RB 39713 2953 20 torn tear VBN 39713 2953 21 down down RP 39713 2953 22 to to TO 39713 2953 23 give give VB 39713 2953 24 place place NN 39713 2953 25 to to IN 39713 2953 26 new new JJ 39713 2953 27 , , , 39713 2953 28 but but CC 39713 2953 29 to to IN 39713 2953 30 the the DT 39713 2953 31 continuous continuous JJ 39713 2953 32 evolution evolution NN 39713 2953 33 of of IN 39713 2953 34 zoologic zoologic JJ 39713 2953 35 types type NNS 39713 2953 36 which which WDT 39713 2953 37 develop develop VBP 39713 2953 38 ceaselessly ceaselessly RB 39713 2953 39 and and CC 39713 2953 40 end end VB 39713 2953 41 by by IN 39713 2953 42 becoming become VBG 39713 2953 43 unrecognizable unrecognizable JJ 39713 2953 44 to to IN 39713 2953 45 the the DT 39713 2953 46 common common JJ 39713 2953 47 sight sight NN 39713 2953 48 , , , 39713 2953 49 but but CC 39713 2953 50 where where WRB 39713 2953 51 an an DT 39713 2953 52 expert expert NN 39713 2953 53 eye eye NN 39713 2953 54 finds find VBZ 39713 2953 55 always always RB 39713 2953 56 traces trace NNS 39713 2953 57 of of IN 39713 2953 58 the the DT 39713 2953 59 prior prior JJ 39713 2953 60 work work NN 39713 2953 61 of of IN 39713 2953 62 the the DT 39713 2953 63 centuries century NNS 39713 2953 64 past past JJ 39713 2953 65 . . . 39713 2954 1 One one PRP 39713 2954 2 must must MD 39713 2954 3 not not RB 39713 2954 4 think think VB 39713 2954 5 then then RB 39713 2954 6 that that IN 39713 2954 7 the the DT 39713 2954 8 old old JJ 39713 2954 9 - - HYPH 39713 2954 10 fashioned fashioned JJ 39713 2954 11 theories theory NNS 39713 2954 12 have have VBP 39713 2954 13 been be VBN 39713 2954 14 sterile sterile JJ 39713 2954 15 and and CC 39713 2954 16 vain vain JJ 39713 2954 17 . . . 39713 2955 1 Were be VBD 39713 2955 2 we -PRON- PRP 39713 2955 3 to to TO 39713 2955 4 stop stop VB 39713 2955 5 there there RB 39713 2955 6 , , , 39713 2955 7 we -PRON- PRP 39713 2955 8 should should MD 39713 2955 9 find find VB 39713 2955 10 in in IN 39713 2955 11 these these DT 39713 2955 12 pages page NNS 39713 2955 13 some some DT 39713 2955 14 reasons reason NNS 39713 2955 15 for for IN 39713 2955 16 confidence confidence NN 39713 2955 17 in in IN 39713 2955 18 the the DT 39713 2955 19 value value NN 39713 2955 20 of of IN 39713 2955 21 science science NN 39713 2955 22 , , , 39713 2955 23 but but CC 39713 2955 24 many many JJ 39713 2955 25 more more JJR 39713 2955 26 for for IN 39713 2955 27 distrusting distrust VBG 39713 2955 28 it -PRON- PRP 39713 2955 29 ; ; : 39713 2955 30 an an DT 39713 2955 31 impression impression NN 39713 2955 32 of of IN 39713 2955 33 doubt doubt NN 39713 2955 34 would would MD 39713 2955 35 remain remain VB 39713 2955 36 ; ; : 39713 2955 37 it -PRON- PRP 39713 2955 38 is be VBZ 39713 2955 39 needful needful JJ 39713 2955 40 now now RB 39713 2955 41 to to TO 39713 2955 42 set set VB 39713 2955 43 things thing NNS 39713 2955 44 to to IN 39713 2955 45 rights right NNS 39713 2955 46 . . . 39713 2956 1 Some some DT 39713 2956 2 people people NNS 39713 2956 3 have have VBP 39713 2956 4 exaggerated exaggerate VBN 39713 2956 5 the the DT 39713 2956 6 rôle rôle NN 39713 2956 7 of of IN 39713 2956 8 convention convention NN 39713 2956 9 in in IN 39713 2956 10 science science NN 39713 2956 11 ; ; : 39713 2956 12 they -PRON- PRP 39713 2956 13 have have VBP 39713 2956 14 even even RB 39713 2956 15 gone go VBN 39713 2956 16 so so RB 39713 2956 17 far far RB 39713 2956 18 as as IN 39713 2956 19 to to TO 39713 2956 20 say say VB 39713 2956 21 that that DT 39713 2956 22 law law NN 39713 2956 23 , , , 39713 2956 24 that that IN 39713 2956 25 scientific scientific JJ 39713 2956 26 fact fact NN 39713 2956 27 itself -PRON- PRP 39713 2956 28 , , , 39713 2956 29 was be VBD 39713 2956 30 created create VBN 39713 2956 31 by by IN 39713 2956 32 the the DT 39713 2956 33 scientist scientist NN 39713 2956 34 . . . 39713 2957 1 This this DT 39713 2957 2 is be VBZ 39713 2957 3 going go VBG 39713 2957 4 much much RB 39713 2957 5 too too RB 39713 2957 6 far far RB 39713 2957 7 in in IN 39713 2957 8 the the DT 39713 2957 9 direction direction NN 39713 2957 10 of of IN 39713 2957 11 nominalism nominalism NN 39713 2957 12 . . . 39713 2958 1 No no UH 39713 2958 2 , , , 39713 2958 3 scientific scientific JJ 39713 2958 4 laws law NNS 39713 2958 5 are be VBP 39713 2958 6 not not RB 39713 2958 7 artificial artificial JJ 39713 2958 8 creations creation NNS 39713 2958 9 ; ; : 39713 2958 10 we -PRON- PRP 39713 2958 11 have have VBP 39713 2958 12 no no DT 39713 2958 13 reason reason NN 39713 2958 14 to to TO 39713 2958 15 regard regard VB 39713 2958 16 them -PRON- PRP 39713 2958 17 as as IN 39713 2958 18 accidental accidental JJ 39713 2958 19 , , , 39713 2958 20 though though IN 39713 2958 21 it -PRON- PRP 39713 2958 22 be be VB 39713 2958 23 impossible impossible JJ 39713 2958 24 to to TO 39713 2958 25 prove prove VB 39713 2958 26 they -PRON- PRP 39713 2958 27 are be VBP 39713 2958 28 not not RB 39713 2958 29 . . . 39713 2959 1 Does do VBZ 39713 2959 2 the the DT 39713 2959 3 harmony harmony NN 39713 2959 4 the the DT 39713 2959 5 human human JJ 39713 2959 6 intelligence intelligence NN 39713 2959 7 thinks think VBZ 39713 2959 8 it -PRON- PRP 39713 2959 9 discovers discover VBZ 39713 2959 10 in in IN 39713 2959 11 nature nature NN 39713 2959 12 exist exist VBP 39713 2959 13 outside outside IN 39713 2959 14 of of IN 39713 2959 15 this this DT 39713 2959 16 intelligence intelligence NN 39713 2959 17 ? ? . 39713 2960 1 No no UH 39713 2960 2 , , , 39713 2960 3 beyond beyond IN 39713 2960 4 doubt doubt NN 39713 2960 5 a a DT 39713 2960 6 reality reality NN 39713 2960 7 completely completely RB 39713 2960 8 independent independent JJ 39713 2960 9 of of IN 39713 2960 10 the the DT 39713 2960 11 mind mind NN 39713 2960 12 which which WDT 39713 2960 13 conceives conceive VBZ 39713 2960 14 it -PRON- PRP 39713 2960 15 , , , 39713 2960 16 sees see VBZ 39713 2960 17 or or CC 39713 2960 18 feels feel VBZ 39713 2960 19 it -PRON- PRP 39713 2960 20 , , , 39713 2960 21 is be VBZ 39713 2960 22 an an DT 39713 2960 23 impossibility impossibility NN 39713 2960 24 . . . 39713 2961 1 A a DT 39713 2961 2 world world NN 39713 2961 3 as as RB 39713 2961 4 exterior exterior JJ 39713 2961 5 as as IN 39713 2961 6 that that DT 39713 2961 7 , , , 39713 2961 8 even even RB 39713 2961 9 if if IN 39713 2961 10 it -PRON- PRP 39713 2961 11 existed exist VBD 39713 2961 12 , , , 39713 2961 13 would would MD 39713 2961 14 for for IN 39713 2961 15 us -PRON- PRP 39713 2961 16 be be VB 39713 2961 17 forever forever RB 39713 2961 18 inaccessible inaccessible JJ 39713 2961 19 . . . 39713 2962 1 But but CC 39713 2962 2 what what WP 39713 2962 3 we -PRON- PRP 39713 2962 4 call call VBP 39713 2962 5 objective objective JJ 39713 2962 6 reality reality NN 39713 2962 7 is be VBZ 39713 2962 8 , , , 39713 2962 9 in in IN 39713 2962 10 the the DT 39713 2962 11 last last JJ 39713 2962 12 analysis analysis NN 39713 2962 13 , , , 39713 2962 14 what what WP 39713 2962 15 is be VBZ 39713 2962 16 common common JJ 39713 2962 17 to to IN 39713 2962 18 many many JJ 39713 2962 19 thinking think VBG 39713 2962 20 beings being NNS 39713 2962 21 , , , 39713 2962 22 and and CC 39713 2962 23 could could MD 39713 2962 24 be be VB 39713 2962 25 common common JJ 39713 2962 26 to to IN 39713 2962 27 all all DT 39713 2962 28 ; ; : 39713 2962 29 this this DT 39713 2962 30 common common JJ 39713 2962 31 part part NN 39713 2962 32 , , , 39713 2962 33 we -PRON- PRP 39713 2962 34 shall shall MD 39713 2962 35 see see VB 39713 2962 36 , , , 39713 2962 37 can can MD 39713 2962 38 only only RB 39713 2962 39 be be VB 39713 2962 40 the the DT 39713 2962 41 harmony harmony NN 39713 2962 42 expressed express VBN 39713 2962 43 by by IN 39713 2962 44 mathematical mathematical JJ 39713 2962 45 laws law NNS 39713 2962 46 . . . 39713 2963 1 It -PRON- PRP 39713 2963 2 is be VBZ 39713 2963 3 this this DT 39713 2963 4 harmony harmony NN 39713 2963 5 then then RB 39713 2963 6 which which WDT 39713 2963 7 is be VBZ 39713 2963 8 the the DT 39713 2963 9 sole sole JJ 39713 2963 10 objective objective JJ 39713 2963 11 reality reality NN 39713 2963 12 , , , 39713 2963 13 the the DT 39713 2963 14 only only JJ 39713 2963 15 truth truth NN 39713 2963 16 we -PRON- PRP 39713 2963 17 can can MD 39713 2963 18 attain attain VB 39713 2963 19 ; ; : 39713 2963 20 and and CC 39713 2963 21 when when WRB 39713 2963 22 I -PRON- PRP 39713 2963 23 add add VBP 39713 2963 24 that that IN 39713 2963 25 the the DT 39713 2963 26 universal universal JJ 39713 2963 27 harmony harmony NN 39713 2963 28 of of IN 39713 2963 29 the the DT 39713 2963 30 world world NN 39713 2963 31 is be VBZ 39713 2963 32 the the DT 39713 2963 33 source source NN 39713 2963 34 of of IN 39713 2963 35 all all DT 39713 2963 36 beauty beauty NN 39713 2963 37 , , , 39713 2963 38 it -PRON- PRP 39713 2963 39 will will MD 39713 2963 40 be be VB 39713 2963 41 understood understand VBN 39713 2963 42 what what WDT 39713 2963 43 price price NN 39713 2963 44 we -PRON- PRP 39713 2963 45 should should MD 39713 2963 46 attach attach VB 39713 2963 47 to to IN 39713 2963 48 the the DT 39713 2963 49 slow slow JJ 39713 2963 50 and and CC 39713 2963 51 difficult difficult JJ 39713 2963 52 progress progress NN 39713 2963 53 which which WDT 39713 2963 54 little little JJ 39713 2963 55 by by IN 39713 2963 56 little little JJ 39713 2963 57 enables enable NNS 39713 2963 58 us -PRON- PRP 39713 2963 59 to to TO 39713 2963 60 know know VB 39713 2963 61 it -PRON- PRP 39713 2963 62 better well RBR 39713 2963 63 . . . 39713 2964 1 PART PART NNP 39713 2964 2 I -PRON- PRP 39713 2964 3 THE the DT 39713 2964 4 MATHEMATICAL MATHEMATICAL NNP 39713 2964 5 SCIENCES SCIENCES NNP 39713 2964 6 CHAPTER CHAPTER NNP 39713 2964 7 I -PRON- PRP 39713 2964 8 INTUITION intuition VBP 39713 2964 9 AND and CC 39713 2964 10 LOGIC logic NN 39713 2964 11 IN in IN 39713 2964 12 MATHEMATICS mathematic NNS 39713 2964 13 I i NN 39713 2964 14 It -PRON- PRP 39713 2964 15 is be VBZ 39713 2964 16 impossible impossible JJ 39713 2964 17 to to TO 39713 2964 18 study study VB 39713 2964 19 the the DT 39713 2964 20 works work NNS 39713 2964 21 of of IN 39713 2964 22 the the DT 39713 2964 23 great great JJ 39713 2964 24 mathematicians mathematician NNS 39713 2964 25 , , , 39713 2964 26 or or CC 39713 2964 27 even even RB 39713 2964 28 those those DT 39713 2964 29 of of IN 39713 2964 30 the the DT 39713 2964 31 lesser less JJR 39713 2964 32 , , , 39713 2964 33 without without IN 39713 2964 34 noticing notice VBG 39713 2964 35 and and CC 39713 2964 36 distinguishing distinguish VBG 39713 2964 37 two two CD 39713 2964 38 opposite opposite JJ 39713 2964 39 tendencies tendency NNS 39713 2964 40 , , , 39713 2964 41 or or CC 39713 2964 42 rather rather RB 39713 2964 43 two two CD 39713 2964 44 entirely entirely RB 39713 2964 45 different different JJ 39713 2964 46 kinds kind NNS 39713 2964 47 of of IN 39713 2964 48 minds mind NNS 39713 2964 49 . . . 39713 2965 1 The the DT 39713 2965 2 one one CD 39713 2965 3 sort sort NN 39713 2965 4 are be VBP 39713 2965 5 above above RB 39713 2965 6 all all DT 39713 2965 7 preoccupied preoccupy VBN 39713 2965 8 with with IN 39713 2965 9 logic logic NN 39713 2965 10 ; ; : 39713 2965 11 to to TO 39713 2965 12 read read VB 39713 2965 13 their -PRON- PRP$ 39713 2965 14 works work NNS 39713 2965 15 , , , 39713 2965 16 one one CD 39713 2965 17 is be VBZ 39713 2965 18 tempted tempt VBN 39713 2965 19 to to TO 39713 2965 20 believe believe VB 39713 2965 21 they -PRON- PRP 39713 2965 22 have have VBP 39713 2965 23 advanced advance VBN 39713 2965 24 only only JJ 39713 2965 25 step step NN 39713 2965 26 by by IN 39713 2965 27 step step NN 39713 2965 28 , , , 39713 2965 29 after after IN 39713 2965 30 the the DT 39713 2965 31 manner manner NN 39713 2965 32 of of IN 39713 2965 33 a a DT 39713 2965 34 Vauban Vauban NNP 39713 2965 35 who who WP 39713 2965 36 pushes push VBZ 39713 2965 37 on on IN 39713 2965 38 his -PRON- PRP$ 39713 2965 39 trenches trench NNS 39713 2965 40 against against IN 39713 2965 41 the the DT 39713 2965 42 place place NN 39713 2965 43 besieged besiege VBD 39713 2965 44 , , , 39713 2965 45 leaving leave VBG 39713 2965 46 nothing nothing NN 39713 2965 47 to to TO 39713 2965 48 chance chance VB 39713 2965 49 . . . 39713 2966 1 The the DT 39713 2966 2 other other JJ 39713 2966 3 sort sort NN 39713 2966 4 are be VBP 39713 2966 5 guided guide VBN 39713 2966 6 by by IN 39713 2966 7 intuition intuition NN 39713 2966 8 and and CC 39713 2966 9 at at IN 39713 2966 10 the the DT 39713 2966 11 first first JJ 39713 2966 12 stroke stroke NN 39713 2966 13 make make VBP 39713 2966 14 quick quick JJ 39713 2966 15 but but CC 39713 2966 16 sometimes sometimes RB 39713 2966 17 precarious precarious JJ 39713 2966 18 conquests conquest NNS 39713 2966 19 , , , 39713 2966 20 like like IN 39713 2966 21 bold bold JJ 39713 2966 22 cavalrymen cavalryman NNS 39713 2966 23 of of IN 39713 2966 24 the the DT 39713 2966 25 advance advance NN 39713 2966 26 guard guard NN 39713 2966 27 . . . 39713 2967 1 The the DT 39713 2967 2 method method NN 39713 2967 3 is be VBZ 39713 2967 4 not not RB 39713 2967 5 imposed impose VBN 39713 2967 6 by by IN 39713 2967 7 the the DT 39713 2967 8 matter matter NN 39713 2967 9 treated treat VBN 39713 2967 10 . . . 39713 2968 1 Though though IN 39713 2968 2 one one CD 39713 2968 3 often often RB 39713 2968 4 says say VBZ 39713 2968 5 of of IN 39713 2968 6 the the DT 39713 2968 7 first first JJ 39713 2968 8 that that IN 39713 2968 9 they -PRON- PRP 39713 2968 10 are be VBP 39713 2968 11 _ _ NNP 39713 2968 12 analysts analyst NNS 39713 2968 13 _ _ NNP 39713 2968 14 and and CC 39713 2968 15 calls call VBZ 39713 2968 16 the the DT 39713 2968 17 others other NNS 39713 2968 18 _ _ NNP 39713 2968 19 geometers geometer NNS 39713 2968 20 _ _ NNP 39713 2968 21 , , , 39713 2968 22 that that WDT 39713 2968 23 does do VBZ 39713 2968 24 not not RB 39713 2968 25 prevent prevent VB 39713 2968 26 the the DT 39713 2968 27 one one CD 39713 2968 28 sort sort RB 39713 2968 29 from from IN 39713 2968 30 remaining remain VBG 39713 2968 31 analysts analyst NNS 39713 2968 32 even even RB 39713 2968 33 when when WRB 39713 2968 34 they -PRON- PRP 39713 2968 35 work work VBP 39713 2968 36 at at IN 39713 2968 37 geometry geometry NN 39713 2968 38 , , , 39713 2968 39 while while IN 39713 2968 40 the the DT 39713 2968 41 others other NNS 39713 2968 42 are be VBP 39713 2968 43 still still RB 39713 2968 44 geometers geometer NNS 39713 2968 45 even even RB 39713 2968 46 when when WRB 39713 2968 47 they -PRON- PRP 39713 2968 48 occupy occupy VBP 39713 2968 49 themselves -PRON- PRP 39713 2968 50 with with IN 39713 2968 51 pure pure JJ 39713 2968 52 analysis analysis NN 39713 2968 53 . . . 39713 2969 1 It -PRON- PRP 39713 2969 2 is be VBZ 39713 2969 3 the the DT 39713 2969 4 very very JJ 39713 2969 5 nature nature NN 39713 2969 6 of of IN 39713 2969 7 their -PRON- PRP$ 39713 2969 8 mind mind NN 39713 2969 9 which which WDT 39713 2969 10 makes make VBZ 39713 2969 11 them -PRON- PRP 39713 2969 12 logicians logicians NNPS 39713 2969 13 or or CC 39713 2969 14 intuitionalists intuitionalist NNS 39713 2969 15 , , , 39713 2969 16 and and CC 39713 2969 17 they -PRON- PRP 39713 2969 18 can can MD 39713 2969 19 not not RB 39713 2969 20 lay lay VB 39713 2969 21 it -PRON- PRP 39713 2969 22 aside aside RB 39713 2969 23 when when WRB 39713 2969 24 they -PRON- PRP 39713 2969 25 approach approach VBP 39713 2969 26 a a DT 39713 2969 27 new new JJ 39713 2969 28 subject subject NN 39713 2969 29 . . . 39713 2970 1 Nor nor CC 39713 2970 2 is be VBZ 39713 2970 3 it -PRON- PRP 39713 2970 4 education education NN 39713 2970 5 which which WDT 39713 2970 6 has have VBZ 39713 2970 7 developed develop VBN 39713 2970 8 in in IN 39713 2970 9 them -PRON- PRP 39713 2970 10 one one CD 39713 2970 11 of of IN 39713 2970 12 the the DT 39713 2970 13 two two CD 39713 2970 14 tendencies tendency NNS 39713 2970 15 and and CC 39713 2970 16 stifled stifle VBD 39713 2970 17 the the DT 39713 2970 18 other other JJ 39713 2970 19 . . . 39713 2971 1 The the DT 39713 2971 2 mathematician mathematician NN 39713 2971 3 is be VBZ 39713 2971 4 born bear VBN 39713 2971 5 , , , 39713 2971 6 not not RB 39713 2971 7 made make VBN 39713 2971 8 , , , 39713 2971 9 and and CC 39713 2971 10 it -PRON- PRP 39713 2971 11 seems seem VBZ 39713 2971 12 he -PRON- PRP 39713 2971 13 is be VBZ 39713 2971 14 born bear VBN 39713 2971 15 a a DT 39713 2971 16 geometer geometer NN 39713 2971 17 or or CC 39713 2971 18 an an DT 39713 2971 19 analyst analyst NN 39713 2971 20 . . . 39713 2972 1 I -PRON- PRP 39713 2972 2 should should MD 39713 2972 3 like like VB 39713 2972 4 to to TO 39713 2972 5 cite cite VB 39713 2972 6 examples example NNS 39713 2972 7 and and CC 39713 2972 8 there there EX 39713 2972 9 are be VBP 39713 2972 10 surely surely RB 39713 2972 11 plenty plenty JJ 39713 2972 12 ; ; : 39713 2972 13 but but CC 39713 2972 14 to to TO 39713 2972 15 accentuate accentuate VB 39713 2972 16 the the DT 39713 2972 17 contrast contrast NN 39713 2972 18 I -PRON- PRP 39713 2972 19 shall shall MD 39713 2972 20 begin begin VB 39713 2972 21 with with IN 39713 2972 22 an an DT 39713 2972 23 extreme extreme JJ 39713 2972 24 example example NN 39713 2972 25 , , , 39713 2972 26 taking take VBG 39713 2972 27 the the DT 39713 2972 28 liberty liberty NN 39713 2972 29 of of IN 39713 2972 30 seeking seek VBG 39713 2972 31 it -PRON- PRP 39713 2972 32 in in IN 39713 2972 33 two two CD 39713 2972 34 living living NN 39713 2972 35 mathematicians mathematician NNS 39713 2972 36 . . . 39713 2973 1 M. M. NNP 39713 2973 2 Méray Méray NNP 39713 2973 3 wants want VBZ 39713 2973 4 to to TO 39713 2973 5 prove prove VB 39713 2973 6 that that IN 39713 2973 7 a a DT 39713 2973 8 binomial binomial JJ 39713 2973 9 equation equation NN 39713 2973 10 always always RB 39713 2973 11 has have VBZ 39713 2973 12 a a DT 39713 2973 13 root root NN 39713 2973 14 , , , 39713 2973 15 or or CC 39713 2973 16 , , , 39713 2973 17 in in IN 39713 2973 18 ordinary ordinary JJ 39713 2973 19 words word NNS 39713 2973 20 , , , 39713 2973 21 that that IN 39713 2973 22 an an DT 39713 2973 23 angle angle NN 39713 2973 24 may may MD 39713 2973 25 always always RB 39713 2973 26 be be VB 39713 2973 27 subdivided subdivide VBN 39713 2973 28 . . . 39713 2974 1 If if IN 39713 2974 2 there there EX 39713 2974 3 is be VBZ 39713 2974 4 any any DT 39713 2974 5 truth truth NN 39713 2974 6 that that WDT 39713 2974 7 we -PRON- PRP 39713 2974 8 think think VBP 39713 2974 9 we -PRON- PRP 39713 2974 10 know know VBP 39713 2974 11 by by IN 39713 2974 12 direct direct JJ 39713 2974 13 intuition intuition NN 39713 2974 14 , , , 39713 2974 15 it -PRON- PRP 39713 2974 16 is be VBZ 39713 2974 17 this this DT 39713 2974 18 . . . 39713 2975 1 Who who WP 39713 2975 2 could could MD 39713 2975 3 doubt doubt VB 39713 2975 4 that that IN 39713 2975 5 an an DT 39713 2975 6 angle angle NN 39713 2975 7 may may MD 39713 2975 8 always always RB 39713 2975 9 be be VB 39713 2975 10 divided divide VBN 39713 2975 11 into into IN 39713 2975 12 any any DT 39713 2975 13 number number NN 39713 2975 14 of of IN 39713 2975 15 equal equal JJ 39713 2975 16 parts part NNS 39713 2975 17 ? ? . 39713 2976 1 M. M. NNP 39713 2976 2 Méray Méray NNP 39713 2976 3 does do VBZ 39713 2976 4 not not RB 39713 2976 5 look look VB 39713 2976 6 at at IN 39713 2976 7 it -PRON- PRP 39713 2976 8 that that DT 39713 2976 9 way way NN 39713 2976 10 ; ; : 39713 2976 11 in in IN 39713 2976 12 his -PRON- PRP$ 39713 2976 13 eyes eye NNS 39713 2976 14 this this DT 39713 2976 15 proposition proposition NN 39713 2976 16 is be VBZ 39713 2976 17 not not RB 39713 2976 18 at at RB 39713 2976 19 all all RB 39713 2976 20 evident evident JJ 39713 2976 21 and and CC 39713 2976 22 to to TO 39713 2976 23 prove prove VB 39713 2976 24 it -PRON- PRP 39713 2976 25 he -PRON- PRP 39713 2976 26 needs need VBZ 39713 2976 27 several several JJ 39713 2976 28 pages page NNS 39713 2976 29 . . . 39713 2977 1 On on IN 39713 2977 2 the the DT 39713 2977 3 other other JJ 39713 2977 4 hand hand NN 39713 2977 5 , , , 39713 2977 6 look look VB 39713 2977 7 at at IN 39713 2977 8 Professor Professor NNP 39713 2977 9 Klein Klein NNP 39713 2977 10 : : : 39713 2977 11 he -PRON- PRP 39713 2977 12 is be VBZ 39713 2977 13 studying study VBG 39713 2977 14 one one CD 39713 2977 15 of of IN 39713 2977 16 the the DT 39713 2977 17 most most RBS 39713 2977 18 abstract abstract JJ 39713 2977 19 questions question NNS 39713 2977 20 of of IN 39713 2977 21 the the DT 39713 2977 22 theory theory NN 39713 2977 23 of of IN 39713 2977 24 functions function NNS 39713 2977 25 : : : 39713 2977 26 to to TO 39713 2977 27 determine determine VB 39713 2977 28 whether whether IN 39713 2977 29 on on IN 39713 2977 30 a a DT 39713 2977 31 given give VBN 39713 2977 32 Riemann Riemann NNP 39713 2977 33 surface surface NN 39713 2977 34 there there EX 39713 2977 35 always always RB 39713 2977 36 exists exist VBZ 39713 2977 37 a a DT 39713 2977 38 function function NN 39713 2977 39 admitting admit VBG 39713 2977 40 of of IN 39713 2977 41 given give VBN 39713 2977 42 singularities singularity NNS 39713 2977 43 . . . 39713 2978 1 What what WP 39713 2978 2 does do VBZ 39713 2978 3 the the DT 39713 2978 4 celebrated celebrate VBN 39713 2978 5 German german JJ 39713 2978 6 geometer geometer NN 39713 2978 7 do do VB 39713 2978 8 ? ? . 39713 2979 1 He -PRON- PRP 39713 2979 2 replaces replace VBZ 39713 2979 3 his -PRON- PRP$ 39713 2979 4 Riemann Riemann NNP 39713 2979 5 surface surface NN 39713 2979 6 by by IN 39713 2979 7 a a DT 39713 2979 8 metallic metallic JJ 39713 2979 9 surface surface NN 39713 2979 10 whose whose WP$ 39713 2979 11 electric electric JJ 39713 2979 12 conductivity conductivity NN 39713 2979 13 varies vary VBZ 39713 2979 14 according accord VBG 39713 2979 15 to to IN 39713 2979 16 certain certain JJ 39713 2979 17 laws law NNS 39713 2979 18 . . . 39713 2980 1 He -PRON- PRP 39713 2980 2 connects connect VBZ 39713 2980 3 two two CD 39713 2980 4 of of IN 39713 2980 5 its -PRON- PRP$ 39713 2980 6 points point NNS 39713 2980 7 with with IN 39713 2980 8 the the DT 39713 2980 9 two two CD 39713 2980 10 poles pole NNS 39713 2980 11 of of IN 39713 2980 12 a a DT 39713 2980 13 battery battery NN 39713 2980 14 . . . 39713 2981 1 The the DT 39713 2981 2 current current NN 39713 2981 3 , , , 39713 2981 4 says say VBZ 39713 2981 5 he -PRON- PRP 39713 2981 6 , , , 39713 2981 7 must must MD 39713 2981 8 pass pass VB 39713 2981 9 , , , 39713 2981 10 and and CC 39713 2981 11 the the DT 39713 2981 12 distribution distribution NN 39713 2981 13 of of IN 39713 2981 14 this this DT 39713 2981 15 current current NN 39713 2981 16 on on IN 39713 2981 17 the the DT 39713 2981 18 surface surface NN 39713 2981 19 will will MD 39713 2981 20 define define VB 39713 2981 21 a a DT 39713 2981 22 function function NN 39713 2981 23 whose whose WP$ 39713 2981 24 singularities singularity NNS 39713 2981 25 will will MD 39713 2981 26 be be VB 39713 2981 27 precisely precisely RB 39713 2981 28 those those DT 39713 2981 29 called call VBN 39713 2981 30 for for IN 39713 2981 31 by by IN 39713 2981 32 the the DT 39713 2981 33 enunciation enunciation NN 39713 2981 34 . . . 39713 2982 1 Doubtless Doubtless NNP 39713 2982 2 Professor Professor NNP 39713 2982 3 Klein Klein NNP 39713 2982 4 well well RB 39713 2982 5 knows know VBZ 39713 2982 6 he -PRON- PRP 39713 2982 7 has have VBZ 39713 2982 8 given give VBN 39713 2982 9 here here RB 39713 2982 10 only only RB 39713 2982 11 a a DT 39713 2982 12 sketch sketch NN 39713 2982 13 ; ; : 39713 2982 14 nevertheless nevertheless RB 39713 2982 15 he -PRON- PRP 39713 2982 16 has have VBZ 39713 2982 17 not not RB 39713 2982 18 hesitated hesitate VBN 39713 2982 19 to to TO 39713 2982 20 publish publish VB 39713 2982 21 it -PRON- PRP 39713 2982 22 ; ; : 39713 2982 23 and and CC 39713 2982 24 he -PRON- PRP 39713 2982 25 would would MD 39713 2982 26 probably probably RB 39713 2982 27 believe believe VB 39713 2982 28 he -PRON- PRP 39713 2982 29 finds find VBZ 39713 2982 30 in in IN 39713 2982 31 it -PRON- PRP 39713 2982 32 , , , 39713 2982 33 if if IN 39713 2982 34 not not RB 39713 2982 35 a a DT 39713 2982 36 rigorous rigorous JJ 39713 2982 37 demonstration demonstration NN 39713 2982 38 , , , 39713 2982 39 at at IN 39713 2982 40 least least JJS 39713 2982 41 a a DT 39713 2982 42 kind kind NN 39713 2982 43 of of IN 39713 2982 44 moral moral JJ 39713 2982 45 certainty certainty NN 39713 2982 46 . . . 39713 2983 1 A a DT 39713 2983 2 logician logician NN 39713 2983 3 would would MD 39713 2983 4 have have VB 39713 2983 5 rejected reject VBN 39713 2983 6 with with IN 39713 2983 7 horror horror NN 39713 2983 8 such such PDT 39713 2983 9 a a DT 39713 2983 10 conception conception NN 39713 2983 11 , , , 39713 2983 12 or or CC 39713 2983 13 rather rather RB 39713 2983 14 he -PRON- PRP 39713 2983 15 would would MD 39713 2983 16 not not RB 39713 2983 17 have have VB 39713 2983 18 had have VBN 39713 2983 19 to to TO 39713 2983 20 reject reject VB 39713 2983 21 it -PRON- PRP 39713 2983 22 , , , 39713 2983 23 because because IN 39713 2983 24 in in IN 39713 2983 25 his -PRON- PRP$ 39713 2983 26 mind mind NN 39713 2983 27 it -PRON- PRP 39713 2983 28 would would MD 39713 2983 29 never never RB 39713 2983 30 have have VB 39713 2983 31 originated originate VBN 39713 2983 32 . . . 39713 2984 1 Again again RB 39713 2984 2 , , , 39713 2984 3 permit permit VB 39713 2984 4 me -PRON- PRP 39713 2984 5 to to TO 39713 2984 6 compare compare VB 39713 2984 7 two two CD 39713 2984 8 men man NNS 39713 2984 9 , , , 39713 2984 10 the the DT 39713 2984 11 honor honor NN 39713 2984 12 of of IN 39713 2984 13 French french JJ 39713 2984 14 science science NN 39713 2984 15 , , , 39713 2984 16 who who WP 39713 2984 17 have have VBP 39713 2984 18 recently recently RB 39713 2984 19 been be VBN 39713 2984 20 taken take VBN 39713 2984 21 from from IN 39713 2984 22 us -PRON- PRP 39713 2984 23 , , , 39713 2984 24 but but CC 39713 2984 25 who who WP 39713 2984 26 both both DT 39713 2984 27 entered enter VBD 39713 2984 28 long long RB 39713 2984 29 ago ago RB 39713 2984 30 into into IN 39713 2984 31 immortality immortality NN 39713 2984 32 . . . 39713 2985 1 I -PRON- PRP 39713 2985 2 speak speak VBP 39713 2985 3 of of IN 39713 2985 4 M. M. NNP 39713 2985 5 Bertrand Bertrand NNP 39713 2985 6 and and CC 39713 2985 7 M. M. NNP 39713 2985 8 Hermite Hermite NNP 39713 2985 9 . . . 39713 2986 1 They -PRON- PRP 39713 2986 2 were be VBD 39713 2986 3 scholars scholar NNS 39713 2986 4 of of IN 39713 2986 5 the the DT 39713 2986 6 same same JJ 39713 2986 7 school school NN 39713 2986 8 at at IN 39713 2986 9 the the DT 39713 2986 10 same same JJ 39713 2986 11 time time NN 39713 2986 12 ; ; : 39713 2986 13 they -PRON- PRP 39713 2986 14 had have VBD 39713 2986 15 the the DT 39713 2986 16 same same JJ 39713 2986 17 education education NN 39713 2986 18 , , , 39713 2986 19 were be VBD 39713 2986 20 under under IN 39713 2986 21 the the DT 39713 2986 22 same same JJ 39713 2986 23 influences influence NNS 39713 2986 24 ; ; : 39713 2986 25 and and CC 39713 2986 26 yet yet RB 39713 2986 27 what what WP 39713 2986 28 a a DT 39713 2986 29 difference difference NN 39713 2986 30 ! ! . 39713 2987 1 Not not RB 39713 2987 2 only only RB 39713 2987 3 does do VBZ 39713 2987 4 it -PRON- PRP 39713 2987 5 blaze blaze VB 39713 2987 6 forth forth RP 39713 2987 7 in in IN 39713 2987 8 their -PRON- PRP$ 39713 2987 9 writings writing NNS 39713 2987 10 ; ; : 39713 2987 11 it -PRON- PRP 39713 2987 12 is be VBZ 39713 2987 13 in in IN 39713 2987 14 their -PRON- PRP$ 39713 2987 15 teaching teaching NN 39713 2987 16 , , , 39713 2987 17 in in IN 39713 2987 18 their -PRON- PRP$ 39713 2987 19 way way NN 39713 2987 20 of of IN 39713 2987 21 speaking speaking NN 39713 2987 22 , , , 39713 2987 23 in in IN 39713 2987 24 their -PRON- PRP$ 39713 2987 25 very very JJ 39713 2987 26 look look NN 39713 2987 27 . . . 39713 2988 1 In in IN 39713 2988 2 the the DT 39713 2988 3 memory memory NN 39713 2988 4 of of IN 39713 2988 5 all all PDT 39713 2988 6 their -PRON- PRP$ 39713 2988 7 pupils pupil NNS 39713 2988 8 these these DT 39713 2988 9 two two CD 39713 2988 10 faces face NNS 39713 2988 11 are be VBP 39713 2988 12 stamped stamp VBN 39713 2988 13 in in IN 39713 2988 14 deathless deathless JJ 39713 2988 15 lines line NNS 39713 2988 16 ; ; : 39713 2988 17 for for IN 39713 2988 18 all all DT 39713 2988 19 who who WP 39713 2988 20 have have VBP 39713 2988 21 had have VBN 39713 2988 22 the the DT 39713 2988 23 pleasure pleasure NN 39713 2988 24 of of IN 39713 2988 25 following follow VBG 39713 2988 26 their -PRON- PRP$ 39713 2988 27 teaching teaching NN 39713 2988 28 , , , 39713 2988 29 this this DT 39713 2988 30 remembrance remembrance NN 39713 2988 31 is be VBZ 39713 2988 32 still still RB 39713 2988 33 fresh fresh JJ 39713 2988 34 ; ; : 39713 2988 35 it -PRON- PRP 39713 2988 36 is be VBZ 39713 2988 37 easy easy JJ 39713 2988 38 for for IN 39713 2988 39 us -PRON- PRP 39713 2988 40 to to TO 39713 2988 41 evoke evoke VB 39713 2988 42 it -PRON- PRP 39713 2988 43 . . . 39713 2989 1 While while IN 39713 2989 2 speaking speak VBG 39713 2989 3 , , , 39713 2989 4 M. M. NNP 39713 2989 5 Bertrand Bertrand NNP 39713 2989 6 is be VBZ 39713 2989 7 always always RB 39713 2989 8 in in IN 39713 2989 9 motion motion NN 39713 2989 10 ; ; : 39713 2989 11 now now RB 39713 2989 12 he -PRON- PRP 39713 2989 13 seems seem VBZ 39713 2989 14 in in IN 39713 2989 15 combat combat NN 39713 2989 16 with with IN 39713 2989 17 some some DT 39713 2989 18 outside outside JJ 39713 2989 19 enemy enemy NN 39713 2989 20 , , , 39713 2989 21 now now RB 39713 2989 22 he -PRON- PRP 39713 2989 23 outlines outline VBZ 39713 2989 24 with with IN 39713 2989 25 a a DT 39713 2989 26 gesture gesture NN 39713 2989 27 of of IN 39713 2989 28 the the DT 39713 2989 29 hand hand NN 39713 2989 30 the the DT 39713 2989 31 figures figure NNS 39713 2989 32 he -PRON- PRP 39713 2989 33 studies study VBZ 39713 2989 34 . . . 39713 2990 1 Plainly plainly RB 39713 2990 2 he -PRON- PRP 39713 2990 3 sees see VBZ 39713 2990 4 and and CC 39713 2990 5 he -PRON- PRP 39713 2990 6 is be VBZ 39713 2990 7 eager eager JJ 39713 2990 8 to to TO 39713 2990 9 paint paint VB 39713 2990 10 , , , 39713 2990 11 this this DT 39713 2990 12 is be VBZ 39713 2990 13 why why WRB 39713 2990 14 he -PRON- PRP 39713 2990 15 calls call VBZ 39713 2990 16 gesture gesture NN 39713 2990 17 to to IN 39713 2990 18 his -PRON- PRP$ 39713 2990 19 aid aid NN 39713 2990 20 . . . 39713 2991 1 With with IN 39713 2991 2 M. M. NNP 39713 2991 3 Hermite Hermite NNP 39713 2991 4 , , , 39713 2991 5 it -PRON- PRP 39713 2991 6 is be VBZ 39713 2991 7 just just RB 39713 2991 8 the the DT 39713 2991 9 opposite opposite NN 39713 2991 10 ; ; : 39713 2991 11 his -PRON- PRP$ 39713 2991 12 eyes eye NNS 39713 2991 13 seem seem VBP 39713 2991 14 to to TO 39713 2991 15 shun shun VB 39713 2991 16 contact contact NN 39713 2991 17 with with IN 39713 2991 18 the the DT 39713 2991 19 world world NN 39713 2991 20 ; ; : 39713 2991 21 it -PRON- PRP 39713 2991 22 is be VBZ 39713 2991 23 not not RB 39713 2991 24 without without IN 39713 2991 25 , , , 39713 2991 26 it -PRON- PRP 39713 2991 27 is be VBZ 39713 2991 28 within within IN 39713 2991 29 he -PRON- PRP 39713 2991 30 seeks seek VBZ 39713 2991 31 the the DT 39713 2991 32 vision vision NN 39713 2991 33 of of IN 39713 2991 34 truth truth NN 39713 2991 35 . . . 39713 2992 1 Among among IN 39713 2992 2 the the DT 39713 2992 3 German german JJ 39713 2992 4 geometers geometer NNS 39713 2992 5 of of IN 39713 2992 6 this this DT 39713 2992 7 century century NN 39713 2992 8 , , , 39713 2992 9 two two CD 39713 2992 10 names name NNS 39713 2992 11 above above IN 39713 2992 12 all all DT 39713 2992 13 are be VBP 39713 2992 14 illustrious illustrious JJ 39713 2992 15 , , , 39713 2992 16 those those DT 39713 2992 17 of of IN 39713 2992 18 the the DT 39713 2992 19 two two CD 39713 2992 20 scientists scientist NNS 39713 2992 21 who who WP 39713 2992 22 founded found VBD 39713 2992 23 the the DT 39713 2992 24 general general JJ 39713 2992 25 theory theory NN 39713 2992 26 of of IN 39713 2992 27 functions function NNS 39713 2992 28 , , , 39713 2992 29 Weierstrass Weierstrass NNP 39713 2992 30 and and CC 39713 2992 31 Riemann Riemann NNP 39713 2992 32 . . . 39713 2993 1 Weierstrass weierstrass NN 39713 2993 2 leads lead VBZ 39713 2993 3 everything everything NN 39713 2993 4 back back RB 39713 2993 5 to to IN 39713 2993 6 the the DT 39713 2993 7 consideration consideration NN 39713 2993 8 of of IN 39713 2993 9 series series NN 39713 2993 10 and and CC 39713 2993 11 their -PRON- PRP$ 39713 2993 12 analytic analytic JJ 39713 2993 13 transformations transformation NNS 39713 2993 14 ; ; : 39713 2993 15 to to TO 39713 2993 16 express express VB 39713 2993 17 it -PRON- PRP 39713 2993 18 better well RBR 39713 2993 19 , , , 39713 2993 20 he -PRON- PRP 39713 2993 21 reduces reduce VBZ 39713 2993 22 analysis analysis NN 39713 2993 23 to to IN 39713 2993 24 a a DT 39713 2993 25 sort sort NN 39713 2993 26 of of IN 39713 2993 27 prolongation prolongation NN 39713 2993 28 of of IN 39713 2993 29 arithmetic arithmetic JJ 39713 2993 30 ; ; : 39713 2993 31 you -PRON- PRP 39713 2993 32 may may MD 39713 2993 33 turn turn VB 39713 2993 34 through through RP 39713 2993 35 all all DT 39713 2993 36 his -PRON- PRP$ 39713 2993 37 books book NNS 39713 2993 38 without without IN 39713 2993 39 finding find VBG 39713 2993 40 a a DT 39713 2993 41 figure figure NN 39713 2993 42 . . . 39713 2994 1 Riemann Riemann NNP 39713 2994 2 , , , 39713 2994 3 on on IN 39713 2994 4 the the DT 39713 2994 5 contrary contrary NN 39713 2994 6 , , , 39713 2994 7 at at IN 39713 2994 8 once once RB 39713 2994 9 calls call NNS 39713 2994 10 geometry geometry NN 39713 2994 11 to to IN 39713 2994 12 his -PRON- PRP$ 39713 2994 13 aid aid NN 39713 2994 14 ; ; : 39713 2994 15 each each DT 39713 2994 16 of of IN 39713 2994 17 his -PRON- PRP$ 39713 2994 18 conceptions conception NNS 39713 2994 19 is be VBZ 39713 2994 20 an an DT 39713 2994 21 image image NN 39713 2994 22 that that WDT 39713 2994 23 no no DT 39713 2994 24 one one NN 39713 2994 25 can can MD 39713 2994 26 forget forget VB 39713 2994 27 , , , 39713 2994 28 once once IN 39713 2994 29 he -PRON- PRP 39713 2994 30 has have VBZ 39713 2994 31 caught catch VBN 39713 2994 32 its -PRON- PRP$ 39713 2994 33 meaning meaning NN 39713 2994 34 . . . 39713 2995 1 More more RBR 39713 2995 2 recently recently RB 39713 2995 3 , , , 39713 2995 4 Lie Lie NNP 39713 2995 5 was be VBD 39713 2995 6 an an DT 39713 2995 7 intuitionalist intuitionalist NN 39713 2995 8 ; ; : 39713 2995 9 this this DT 39713 2995 10 might may MD 39713 2995 11 have have VB 39713 2995 12 been be VBN 39713 2995 13 doubted doubt VBN 39713 2995 14 in in IN 39713 2995 15 reading read VBG 39713 2995 16 his -PRON- PRP$ 39713 2995 17 books book NNS 39713 2995 18 , , , 39713 2995 19 no no DT 39713 2995 20 one one PRP 39713 2995 21 could could MD 39713 2995 22 doubt doubt VB 39713 2995 23 it -PRON- PRP 39713 2995 24 after after IN 39713 2995 25 talking talk VBG 39713 2995 26 with with IN 39713 2995 27 him -PRON- PRP 39713 2995 28 ; ; : 39713 2995 29 you -PRON- PRP 39713 2995 30 saw see VBD 39713 2995 31 at at IN 39713 2995 32 once once IN 39713 2995 33 that that IN 39713 2995 34 he -PRON- PRP 39713 2995 35 thought think VBD 39713 2995 36 in in IN 39713 2995 37 pictures picture NNS 39713 2995 38 . . . 39713 2996 1 Madame Madame NNP 39713 2996 2 Kovalevski Kovalevski NNP 39713 2996 3 was be VBD 39713 2996 4 a a DT 39713 2996 5 logician logician NN 39713 2996 6 . . . 39713 2997 1 Among among IN 39713 2997 2 our -PRON- PRP$ 39713 2997 3 students student NNS 39713 2997 4 we -PRON- PRP 39713 2997 5 notice notice VBP 39713 2997 6 the the DT 39713 2997 7 same same JJ 39713 2997 8 differences difference NNS 39713 2997 9 ; ; : 39713 2997 10 some some DT 39713 2997 11 prefer prefer VBP 39713 2997 12 to to TO 39713 2997 13 treat treat VB 39713 2997 14 their -PRON- PRP$ 39713 2997 15 problems problem NNS 39713 2997 16 ' ' '' 39713 2997 17 by by IN 39713 2997 18 analysis analysis NN 39713 2997 19 , , , 39713 2997 20 ' ' `` 39713 2997 21 others other NNS 39713 2997 22 ' ' '' 39713 2997 23 by by IN 39713 2997 24 geometry geometry NN 39713 2997 25 . . . 39713 2997 26 ' ' '' 39713 2998 1 The the DT 39713 2998 2 first first JJ 39713 2998 3 are be VBP 39713 2998 4 incapable incapable JJ 39713 2998 5 of of IN 39713 2998 6 ' ' `` 39713 2998 7 seeing see VBG 39713 2998 8 in in IN 39713 2998 9 space space NN 39713 2998 10 , , , 39713 2998 11 ' ' '' 39713 2998 12 the the DT 39713 2998 13 others other NNS 39713 2998 14 are be VBP 39713 2998 15 quickly quickly RB 39713 2998 16 tired tired JJ 39713 2998 17 of of IN 39713 2998 18 long long JJ 39713 2998 19 calculations calculation NNS 39713 2998 20 and and CC 39713 2998 21 become become VBP 39713 2998 22 perplexed perplexed JJ 39713 2998 23 . . . 39713 2999 1 The the DT 39713 2999 2 two two CD 39713 2999 3 sorts sort NNS 39713 2999 4 of of IN 39713 2999 5 minds mind NNS 39713 2999 6 are be VBP 39713 2999 7 equally equally RB 39713 2999 8 necessary necessary JJ 39713 2999 9 for for IN 39713 2999 10 the the DT 39713 2999 11 progress progress NN 39713 2999 12 of of IN 39713 2999 13 science science NN 39713 2999 14 ; ; : 39713 2999 15 both both CC 39713 2999 16 the the DT 39713 2999 17 logicians logicians NNPS 39713 2999 18 and and CC 39713 2999 19 the the DT 39713 2999 20 intuitionalists intuitionalist NNS 39713 2999 21 have have VBP 39713 2999 22 achieved achieve VBN 39713 2999 23 great great JJ 39713 2999 24 things thing NNS 39713 2999 25 that that WDT 39713 2999 26 others other NNS 39713 2999 27 could could MD 39713 2999 28 not not RB 39713 2999 29 have have VB 39713 2999 30 done do VBN 39713 2999 31 . . . 39713 3000 1 Who who WP 39713 3000 2 would would MD 39713 3000 3 venture venture VB 39713 3000 4 to to TO 39713 3000 5 say say VB 39713 3000 6 whether whether IN 39713 3000 7 he -PRON- PRP 39713 3000 8 preferred prefer VBD 39713 3000 9 that that IN 39713 3000 10 Weierstrass Weierstrass NNP 39713 3000 11 had have VBD 39713 3000 12 never never RB 39713 3000 13 written write VBN 39713 3000 14 or or CC 39713 3000 15 that that IN 39713 3000 16 there there EX 39713 3000 17 had have VBD 39713 3000 18 never never RB 39713 3000 19 been be VBN 39713 3000 20 a a DT 39713 3000 21 Riemann Riemann NNP 39713 3000 22 ? ? . 39713 3001 1 Analysis analysis NN 39713 3001 2 and and CC 39713 3001 3 synthesis synthesis NN 39713 3001 4 have have VBP 39713 3001 5 then then RB 39713 3001 6 both both CC 39713 3001 7 their -PRON- PRP$ 39713 3001 8 legitimate legitimate JJ 39713 3001 9 rôles rôle NNS 39713 3001 10 . . . 39713 3002 1 But but CC 39713 3002 2 it -PRON- PRP 39713 3002 3 is be VBZ 39713 3002 4 interesting interesting JJ 39713 3002 5 to to TO 39713 3002 6 study study VB 39713 3002 7 more more RBR 39713 3002 8 closely closely RB 39713 3002 9 in in IN 39713 3002 10 the the DT 39713 3002 11 history history NN 39713 3002 12 of of IN 39713 3002 13 science science NN 39713 3002 14 the the DT 39713 3002 15 part part NN 39713 3002 16 which which WDT 39713 3002 17 belongs belong VBZ 39713 3002 18 to to IN 39713 3002 19 each each DT 39713 3002 20 . . . 39713 3003 1 II II NNP 39713 3003 2 Strange strange JJ 39713 3003 3 ! ! . 39713 3004 1 If if IN 39713 3004 2 we -PRON- PRP 39713 3004 3 read read VBP 39713 3004 4 over over IN 39713 3004 5 the the DT 39713 3004 6 works work NNS 39713 3004 7 of of IN 39713 3004 8 the the DT 39713 3004 9 ancients ancient NNS 39713 3004 10 we -PRON- PRP 39713 3004 11 are be VBP 39713 3004 12 tempted tempt VBN 39713 3004 13 to to TO 39713 3004 14 class class VB 39713 3004 15 them -PRON- PRP 39713 3004 16 all all DT 39713 3004 17 among among IN 39713 3004 18 the the DT 39713 3004 19 intuitionalists intuitionalist NNS 39713 3004 20 . . . 39713 3005 1 And and CC 39713 3005 2 yet yet RB 39713 3005 3 nature nature NN 39713 3005 4 is be VBZ 39713 3005 5 always always RB 39713 3005 6 the the DT 39713 3005 7 same same JJ 39713 3005 8 ; ; : 39713 3005 9 it -PRON- PRP 39713 3005 10 is be VBZ 39713 3005 11 hardly hardly RB 39713 3005 12 probable probable JJ 39713 3005 13 that that IN 39713 3005 14 it -PRON- PRP 39713 3005 15 has have VBZ 39713 3005 16 begun begin VBN 39713 3005 17 in in IN 39713 3005 18 this this DT 39713 3005 19 century century NN 39713 3005 20 to to TO 39713 3005 21 create create VB 39713 3005 22 minds mind NNS 39713 3005 23 devoted devote VBN 39713 3005 24 to to IN 39713 3005 25 logic logic NN 39713 3005 26 . . . 39713 3006 1 If if IN 39713 3006 2 we -PRON- PRP 39713 3006 3 could could MD 39713 3006 4 put put VB 39713 3006 5 ourselves -PRON- PRP 39713 3006 6 into into IN 39713 3006 7 the the DT 39713 3006 8 flow flow NN 39713 3006 9 of of IN 39713 3006 10 ideas idea NNS 39713 3006 11 which which WDT 39713 3006 12 reigned reign VBD 39713 3006 13 in in IN 39713 3006 14 their -PRON- PRP$ 39713 3006 15 time time NN 39713 3006 16 , , , 39713 3006 17 we -PRON- PRP 39713 3006 18 should should MD 39713 3006 19 recognize recognize VB 39713 3006 20 that that IN 39713 3006 21 many many JJ 39713 3006 22 of of IN 39713 3006 23 the the DT 39713 3006 24 old old JJ 39713 3006 25 geometers geometer NNS 39713 3006 26 were be VBD 39713 3006 27 in in IN 39713 3006 28 tendency tendency NN 39713 3006 29 analysts analyst NNS 39713 3006 30 . . . 39713 3007 1 Euclid euclid JJ 39713 3007 2 , , , 39713 3007 3 for for IN 39713 3007 4 example example NN 39713 3007 5 , , , 39713 3007 6 erected erect VBD 39713 3007 7 a a DT 39713 3007 8 scientific scientific JJ 39713 3007 9 structure structure NN 39713 3007 10 wherein wherein WRB 39713 3007 11 his -PRON- PRP$ 39713 3007 12 contemporaries contemporary NNS 39713 3007 13 could could MD 39713 3007 14 find find VB 39713 3007 15 no no DT 39713 3007 16 fault fault NN 39713 3007 17 . . . 39713 3008 1 In in IN 39713 3008 2 this this DT 39713 3008 3 vast vast JJ 39713 3008 4 construction construction NN 39713 3008 5 , , , 39713 3008 6 of of IN 39713 3008 7 which which WDT 39713 3008 8 each each DT 39713 3008 9 piece piece NN 39713 3008 10 however however RB 39713 3008 11 is be VBZ 39713 3008 12 due due JJ 39713 3008 13 to to IN 39713 3008 14 intuition intuition NN 39713 3008 15 , , , 39713 3008 16 we -PRON- PRP 39713 3008 17 may may MD 39713 3008 18 still still RB 39713 3008 19 to to IN 39713 3008 20 - - HYPH 39713 3008 21 day day NN 39713 3008 22 , , , 39713 3008 23 without without IN 39713 3008 24 much much JJ 39713 3008 25 effort effort NN 39713 3008 26 , , , 39713 3008 27 recognize recognize VB 39713 3008 28 the the DT 39713 3008 29 work work NN 39713 3008 30 of of IN 39713 3008 31 a a DT 39713 3008 32 logician logician NN 39713 3008 33 . . . 39713 3009 1 It -PRON- PRP 39713 3009 2 is be VBZ 39713 3009 3 not not RB 39713 3009 4 minds mind NNS 39713 3009 5 that that WDT 39713 3009 6 have have VBP 39713 3009 7 changed change VBN 39713 3009 8 , , , 39713 3009 9 it -PRON- PRP 39713 3009 10 is be VBZ 39713 3009 11 ideas idea NNS 39713 3009 12 ; ; : 39713 3009 13 the the DT 39713 3009 14 intuitional intuitional JJ 39713 3009 15 minds mind NNS 39713 3009 16 have have VBP 39713 3009 17 remained remain VBN 39713 3009 18 the the DT 39713 3009 19 same same JJ 39713 3009 20 ; ; : 39713 3009 21 but but CC 39713 3009 22 their -PRON- PRP$ 39713 3009 23 readers reader NNS 39713 3009 24 have have VBP 39713 3009 25 required require VBN 39713 3009 26 of of IN 39713 3009 27 them -PRON- PRP 39713 3009 28 greater great JJR 39713 3009 29 concessions concession NNS 39713 3009 30 . . . 39713 3010 1 What what WP 39713 3010 2 is be VBZ 39713 3010 3 the the DT 39713 3010 4 cause cause NN 39713 3010 5 of of IN 39713 3010 6 this this DT 39713 3010 7 evolution evolution NN 39713 3010 8 ? ? . 39713 3011 1 It -PRON- PRP 39713 3011 2 is be VBZ 39713 3011 3 not not RB 39713 3011 4 hard hard JJ 39713 3011 5 to to TO 39713 3011 6 find find VB 39713 3011 7 . . . 39713 3012 1 Intuition intuition NN 39713 3012 2 can can MD 39713 3012 3 not not RB 39713 3012 4 give give VB 39713 3012 5 us -PRON- PRP 39713 3012 6 rigor rigor VB 39713 3012 7 , , , 39713 3012 8 nor nor CC 39713 3012 9 even even RB 39713 3012 10 certainty certainty NN 39713 3012 11 ; ; : 39713 3012 12 this this DT 39713 3012 13 has have VBZ 39713 3012 14 been be VBN 39713 3012 15 recognized recognize VBN 39713 3012 16 more more RBR 39713 3012 17 and and CC 39713 3012 18 more more RBR 39713 3012 19 . . . 39713 3013 1 Let let VB 39713 3013 2 us -PRON- PRP 39713 3013 3 cite cite VB 39713 3013 4 some some DT 39713 3013 5 examples example NNS 39713 3013 6 . . . 39713 3014 1 We -PRON- PRP 39713 3014 2 know know VBP 39713 3014 3 there there EX 39713 3014 4 exist exist VBP 39713 3014 5 continuous continuous JJ 39713 3014 6 functions function NNS 39713 3014 7 lacking lack VBG 39713 3014 8 derivatives derivative NNS 39713 3014 9 . . . 39713 3015 1 Nothing nothing NN 39713 3015 2 is be VBZ 39713 3015 3 more more RBR 39713 3015 4 shocking shocking JJ 39713 3015 5 to to IN 39713 3015 6 intuition intuition NN 39713 3015 7 than than IN 39713 3015 8 this this DT 39713 3015 9 proposition proposition NN 39713 3015 10 which which WDT 39713 3015 11 is be VBZ 39713 3015 12 imposed impose VBN 39713 3015 13 upon upon IN 39713 3015 14 us -PRON- PRP 39713 3015 15 by by IN 39713 3015 16 logic logic NN 39713 3015 17 . . . 39713 3016 1 Our -PRON- PRP$ 39713 3016 2 fathers father NNS 39713 3016 3 would would MD 39713 3016 4 not not RB 39713 3016 5 have have VB 39713 3016 6 failed fail VBN 39713 3016 7 to to TO 39713 3016 8 say say VB 39713 3016 9 : : : 39713 3016 10 " " `` 39713 3016 11 It -PRON- PRP 39713 3016 12 is be VBZ 39713 3016 13 evident evident JJ 39713 3016 14 that that IN 39713 3016 15 every every DT 39713 3016 16 continuous continuous JJ 39713 3016 17 function function NN 39713 3016 18 has have VBZ 39713 3016 19 a a DT 39713 3016 20 derivative derivative NN 39713 3016 21 , , , 39713 3016 22 since since IN 39713 3016 23 every every DT 39713 3016 24 curve curve NN 39713 3016 25 has have VBZ 39713 3016 26 a a DT 39713 3016 27 tangent tangent NN 39713 3016 28 . . . 39713 3016 29 " " '' 39713 3017 1 How how WRB 39713 3017 2 can can MD 39713 3017 3 intuition intuition VB 39713 3017 4 deceive deceive VB 39713 3017 5 us -PRON- PRP 39713 3017 6 on on IN 39713 3017 7 this this DT 39713 3017 8 point point NN 39713 3017 9 ? ? . 39713 3018 1 It -PRON- PRP 39713 3018 2 is be VBZ 39713 3018 3 because because IN 39713 3018 4 when when WRB 39713 3018 5 we -PRON- PRP 39713 3018 6 seek seek VBP 39713 3018 7 to to TO 39713 3018 8 imagine imagine VB 39713 3018 9 a a DT 39713 3018 10 curve curve NN 39713 3018 11 we -PRON- PRP 39713 3018 12 can can MD 39713 3018 13 not not RB 39713 3018 14 represent represent VB 39713 3018 15 it -PRON- PRP 39713 3018 16 to to IN 39713 3018 17 ourselves -PRON- PRP 39713 3018 18 without without IN 39713 3018 19 width width NN 39713 3018 20 ; ; : 39713 3018 21 just just RB 39713 3018 22 so so RB 39713 3018 23 , , , 39713 3018 24 when when WRB 39713 3018 25 we -PRON- PRP 39713 3018 26 represent represent VBP 39713 3018 27 to to IN 39713 3018 28 ourselves -PRON- PRP 39713 3018 29 a a DT 39713 3018 30 straight straight JJ 39713 3018 31 line line NN 39713 3018 32 , , , 39713 3018 33 we -PRON- PRP 39713 3018 34 see see VBP 39713 3018 35 it -PRON- PRP 39713 3018 36 under under IN 39713 3018 37 the the DT 39713 3018 38 form form NN 39713 3018 39 of of IN 39713 3018 40 a a DT 39713 3018 41 rectilinear rectilinear JJ 39713 3018 42 band band NN 39713 3018 43 of of IN 39713 3018 44 a a DT 39713 3018 45 certain certain JJ 39713 3018 46 breadth breadth NN 39713 3018 47 . . . 39713 3019 1 We -PRON- PRP 39713 3019 2 well well RB 39713 3019 3 know know VBP 39713 3019 4 these these DT 39713 3019 5 lines line NNS 39713 3019 6 have have VBP 39713 3019 7 no no DT 39713 3019 8 width width NN 39713 3019 9 ; ; : 39713 3019 10 we -PRON- PRP 39713 3019 11 try try VBP 39713 3019 12 to to TO 39713 3019 13 imagine imagine VB 39713 3019 14 them -PRON- PRP 39713 3019 15 narrower narrow JJR 39713 3019 16 and and CC 39713 3019 17 narrower narrower RBR 39713 3019 18 and and CC 39713 3019 19 thus thus RB 39713 3019 20 to to TO 39713 3019 21 approach approach VB 39713 3019 22 the the DT 39713 3019 23 limit limit NN 39713 3019 24 ; ; : 39713 3019 25 so so CC 39713 3019 26 we -PRON- PRP 39713 3019 27 do do VBP 39713 3019 28 in in IN 39713 3019 29 a a DT 39713 3019 30 certain certain JJ 39713 3019 31 measure measure NN 39713 3019 32 , , , 39713 3019 33 but but CC 39713 3019 34 we -PRON- PRP 39713 3019 35 shall shall MD 39713 3019 36 never never RB 39713 3019 37 attain attain VB 39713 3019 38 this this DT 39713 3019 39 limit limit NN 39713 3019 40 . . . 39713 3020 1 And and CC 39713 3020 2 then then RB 39713 3020 3 it -PRON- PRP 39713 3020 4 is be VBZ 39713 3020 5 clear clear JJ 39713 3020 6 we -PRON- PRP 39713 3020 7 can can MD 39713 3020 8 always always RB 39713 3020 9 picture picture VB 39713 3020 10 these these DT 39713 3020 11 two two CD 39713 3020 12 narrow narrow JJ 39713 3020 13 bands band NNS 39713 3020 14 , , , 39713 3020 15 one one CD 39713 3020 16 straight straight NN 39713 3020 17 , , , 39713 3020 18 one one CD 39713 3020 19 curved curve VBD 39713 3020 20 , , , 39713 3020 21 in in IN 39713 3020 22 a a DT 39713 3020 23 position position NN 39713 3020 24 such such JJ 39713 3020 25 that that IN 39713 3020 26 they -PRON- PRP 39713 3020 27 encroach encroach VBP 39713 3020 28 slightly slightly RB 39713 3020 29 one one CD 39713 3020 30 upon upon IN 39713 3020 31 the the DT 39713 3020 32 other other JJ 39713 3020 33 without without IN 39713 3020 34 crossing cross VBG 39713 3020 35 . . . 39713 3021 1 We -PRON- PRP 39713 3021 2 shall shall MD 39713 3021 3 thus thus RB 39713 3021 4 be be VB 39713 3021 5 led lead VBN 39713 3021 6 , , , 39713 3021 7 unless unless IN 39713 3021 8 warned warn VBN 39713 3021 9 by by IN 39713 3021 10 a a DT 39713 3021 11 rigorous rigorous JJ 39713 3021 12 analysis analysis NN 39713 3021 13 , , , 39713 3021 14 to to TO 39713 3021 15 conclude conclude VB 39713 3021 16 that that IN 39713 3021 17 a a DT 39713 3021 18 curve curve NN 39713 3021 19 always always RB 39713 3021 20 has have VBZ 39713 3021 21 a a DT 39713 3021 22 tangent tangent NN 39713 3021 23 . . . 39713 3022 1 I -PRON- PRP 39713 3022 2 shall shall MD 39713 3022 3 take take VB 39713 3022 4 as as RB 39713 3022 5 second second JJ 39713 3022 6 example example NN 39713 3022 7 Dirichlet Dirichlet NNP 39713 3022 8 's 's POS 39713 3022 9 principle principle NN 39713 3022 10 on on IN 39713 3022 11 which which WDT 39713 3022 12 rest rest NN 39713 3022 13 so so RB 39713 3022 14 many many JJ 39713 3022 15 theorems theorem NNS 39713 3022 16 of of IN 39713 3022 17 mathematical mathematical JJ 39713 3022 18 physics physics NN 39713 3022 19 ; ; : 39713 3022 20 to to IN 39713 3022 21 - - HYPH 39713 3022 22 day day NN 39713 3022 23 we -PRON- PRP 39713 3022 24 establish establish VBP 39713 3022 25 it -PRON- PRP 39713 3022 26 by by IN 39713 3022 27 reasoning reason VBG 39713 3022 28 very very RB 39713 3022 29 rigorous rigorous JJ 39713 3022 30 but but CC 39713 3022 31 very very RB 39713 3022 32 long long RB 39713 3022 33 ; ; : 39713 3022 34 heretofore heretofore RB 39713 3022 35 , , , 39713 3022 36 on on IN 39713 3022 37 the the DT 39713 3022 38 contrary contrary NN 39713 3022 39 , , , 39713 3022 40 we -PRON- PRP 39713 3022 41 were be VBD 39713 3022 42 content content JJ 39713 3022 43 with with IN 39713 3022 44 a a DT 39713 3022 45 very very RB 39713 3022 46 summary summary NN 39713 3022 47 proof proof NN 39713 3022 48 . . . 39713 3023 1 A a DT 39713 3023 2 certain certain JJ 39713 3023 3 integral integral JJ 39713 3023 4 depending depend VBG 39713 3023 5 on on IN 39713 3023 6 an an DT 39713 3023 7 arbitrary arbitrary JJ 39713 3023 8 function function NN 39713 3023 9 can can MD 39713 3023 10 never never RB 39713 3023 11 vanish vanish VB 39713 3023 12 . . . 39713 3024 1 Hence hence RB 39713 3024 2 it -PRON- PRP 39713 3024 3 is be VBZ 39713 3024 4 concluded conclude VBN 39713 3024 5 that that IN 39713 3024 6 it -PRON- PRP 39713 3024 7 must must MD 39713 3024 8 have have VB 39713 3024 9 a a DT 39713 3024 10 minimum minimum NN 39713 3024 11 . . . 39713 3025 1 The the DT 39713 3025 2 flaw flaw NN 39713 3025 3 in in IN 39713 3025 4 this this DT 39713 3025 5 reasoning reasoning NN 39713 3025 6 strikes strike VBZ 39713 3025 7 us -PRON- PRP 39713 3025 8 immediately immediately RB 39713 3025 9 , , , 39713 3025 10 since since IN 39713 3025 11 we -PRON- PRP 39713 3025 12 use use VBP 39713 3025 13 the the DT 39713 3025 14 abstract abstract JJ 39713 3025 15 term term NN 39713 3025 16 _ _ NNP 39713 3025 17 function function NN 39713 3025 18 _ _ NNP 39713 3025 19 and and CC 39713 3025 20 are be VBP 39713 3025 21 familiar familiar JJ 39713 3025 22 with with IN 39713 3025 23 all all PDT 39713 3025 24 the the DT 39713 3025 25 singularities singularity NNS 39713 3025 26 functions function NNS 39713 3025 27 can can MD 39713 3025 28 present present VB 39713 3025 29 when when WRB 39713 3025 30 the the DT 39713 3025 31 word word NN 39713 3025 32 is be VBZ 39713 3025 33 understood understand VBN 39713 3025 34 in in IN 39713 3025 35 the the DT 39713 3025 36 most most RBS 39713 3025 37 general general JJ 39713 3025 38 sense sense NN 39713 3025 39 . . . 39713 3026 1 But but CC 39713 3026 2 it -PRON- PRP 39713 3026 3 would would MD 39713 3026 4 not not RB 39713 3026 5 be be VB 39713 3026 6 the the DT 39713 3026 7 same same JJ 39713 3026 8 had have VBD 39713 3026 9 we -PRON- PRP 39713 3026 10 used use VBN 39713 3026 11 concrete concrete JJ 39713 3026 12 images image NNS 39713 3026 13 , , , 39713 3026 14 had have VBD 39713 3026 15 we -PRON- PRP 39713 3026 16 , , , 39713 3026 17 for for IN 39713 3026 18 example example NN 39713 3026 19 , , , 39713 3026 20 considered consider VBN 39713 3026 21 this this DT 39713 3026 22 function function NN 39713 3026 23 as as IN 39713 3026 24 an an DT 39713 3026 25 electric electric JJ 39713 3026 26 potential potential NN 39713 3026 27 ; ; : 39713 3026 28 it -PRON- PRP 39713 3026 29 would would MD 39713 3026 30 have have VB 39713 3026 31 been be VBN 39713 3026 32 thought think VBN 39713 3026 33 legitimate legitimate RB 39713 3026 34 to to TO 39713 3026 35 affirm affirm VB 39713 3026 36 that that DT 39713 3026 37 electrostatic electrostatic JJ 39713 3026 38 equilibrium equilibrium NN 39713 3026 39 can can MD 39713 3026 40 be be VB 39713 3026 41 attained attain VBN 39713 3026 42 . . . 39713 3027 1 Yet yet RB 39713 3027 2 perhaps perhaps RB 39713 3027 3 a a DT 39713 3027 4 physical physical JJ 39713 3027 5 comparison comparison NN 39713 3027 6 would would MD 39713 3027 7 have have VB 39713 3027 8 awakened awaken VBN 39713 3027 9 some some DT 39713 3027 10 vague vague JJ 39713 3027 11 distrust distrust NN 39713 3027 12 . . . 39713 3028 1 But but CC 39713 3028 2 if if IN 39713 3028 3 care care NN 39713 3028 4 had have VBD 39713 3028 5 been be VBN 39713 3028 6 taken take VBN 39713 3028 7 to to TO 39713 3028 8 translate translate VB 39713 3028 9 the the DT 39713 3028 10 reasoning reasoning NN 39713 3028 11 into into IN 39713 3028 12 the the DT 39713 3028 13 language language NN 39713 3028 14 of of IN 39713 3028 15 geometry geometry NN 39713 3028 16 , , , 39713 3028 17 intermediate intermediate JJ 39713 3028 18 between between IN 39713 3028 19 that that DT 39713 3028 20 of of IN 39713 3028 21 analysis analysis NN 39713 3028 22 and and CC 39713 3028 23 that that DT 39713 3028 24 of of IN 39713 3028 25 physics physics NN 39713 3028 26 , , , 39713 3028 27 doubtless doubtless RB 39713 3028 28 this this DT 39713 3028 29 distrust distrust NN 39713 3028 30 would would MD 39713 3028 31 not not RB 39713 3028 32 have have VB 39713 3028 33 been be VBN 39713 3028 34 produced produce VBN 39713 3028 35 , , , 39713 3028 36 and and CC 39713 3028 37 perhaps perhaps RB 39713 3028 38 one one PRP 39713 3028 39 might may MD 39713 3028 40 thus thus RB 39713 3028 41 , , , 39713 3028 42 even even RB 39713 3028 43 to to IN 39713 3028 44 - - HYPH 39713 3028 45 day day NN 39713 3028 46 , , , 39713 3028 47 still still RB 39713 3028 48 deceive deceive VBP 39713 3028 49 many many JJ 39713 3028 50 readers reader NNS 39713 3028 51 not not RB 39713 3028 52 forewarned forewarn VBN 39713 3028 53 . . . 39713 3029 1 Intuition intuition NN 39713 3029 2 , , , 39713 3029 3 therefore therefore RB 39713 3029 4 , , , 39713 3029 5 does do VBZ 39713 3029 6 not not RB 39713 3029 7 give give VB 39713 3029 8 us -PRON- PRP 39713 3029 9 certainty certainty NN 39713 3029 10 . . . 39713 3030 1 This this DT 39713 3030 2 is be VBZ 39713 3030 3 why why WRB 39713 3030 4 the the DT 39713 3030 5 evolution evolution NN 39713 3030 6 had have VBD 39713 3030 7 to to TO 39713 3030 8 happen happen VB 39713 3030 9 ; ; : 39713 3030 10 let let VB 39713 3030 11 us -PRON- PRP 39713 3030 12 now now RB 39713 3030 13 see see VB 39713 3030 14 how how WRB 39713 3030 15 it -PRON- PRP 39713 3030 16 happened happen VBD 39713 3030 17 . . . 39713 3031 1 It -PRON- PRP 39713 3031 2 was be VBD 39713 3031 3 not not RB 39713 3031 4 slow slow JJ 39713 3031 5 in in IN 39713 3031 6 being be VBG 39713 3031 7 noticed notice VBN 39713 3031 8 that that IN 39713 3031 9 rigor rigor NN 39713 3031 10 could could MD 39713 3031 11 not not RB 39713 3031 12 be be VB 39713 3031 13 introduced introduce VBN 39713 3031 14 in in IN 39713 3031 15 the the DT 39713 3031 16 reasoning reasoning NN 39713 3031 17 unless unless IN 39713 3031 18 first first RB 39713 3031 19 made make VBN 39713 3031 20 to to TO 39713 3031 21 enter enter VB 39713 3031 22 into into IN 39713 3031 23 the the DT 39713 3031 24 definitions definition NNS 39713 3031 25 . . . 39713 3032 1 For for IN 39713 3032 2 the the DT 39713 3032 3 most most JJS 39713 3032 4 part part NN 39713 3032 5 the the DT 39713 3032 6 objects object NNS 39713 3032 7 treated treat VBN 39713 3032 8 of of IN 39713 3032 9 by by IN 39713 3032 10 mathematicians mathematician NNS 39713 3032 11 were be VBD 39713 3032 12 long long RB 39713 3032 13 ill ill RB 39713 3032 14 defined define VBN 39713 3032 15 ; ; : 39713 3032 16 they -PRON- PRP 39713 3032 17 were be VBD 39713 3032 18 supposed suppose VBN 39713 3032 19 to to TO 39713 3032 20 be be VB 39713 3032 21 known know VBN 39713 3032 22 because because IN 39713 3032 23 represented represent VBN 39713 3032 24 by by IN 39713 3032 25 means mean NNS 39713 3032 26 of of IN 39713 3032 27 the the DT 39713 3032 28 senses sense NNS 39713 3032 29 or or CC 39713 3032 30 the the DT 39713 3032 31 imagination imagination NN 39713 3032 32 ; ; : 39713 3032 33 but but CC 39713 3032 34 one one CD 39713 3032 35 had have VBD 39713 3032 36 only only RB 39713 3032 37 a a DT 39713 3032 38 crude crude JJ 39713 3032 39 image image NN 39713 3032 40 of of IN 39713 3032 41 them -PRON- PRP 39713 3032 42 and and CC 39713 3032 43 not not RB 39713 3032 44 a a DT 39713 3032 45 precise precise JJ 39713 3032 46 idea idea NN 39713 3032 47 on on IN 39713 3032 48 which which WDT 39713 3032 49 reasoning reasoning NN 39713 3032 50 could could MD 39713 3032 51 take take VB 39713 3032 52 hold hold NN 39713 3032 53 . . . 39713 3033 1 It -PRON- PRP 39713 3033 2 was be VBD 39713 3033 3 there there RB 39713 3033 4 first first JJ 39713 3033 5 that that IN 39713 3033 6 the the DT 39713 3033 7 logicians logicians NNPS 39713 3033 8 had have VBD 39713 3033 9 to to TO 39713 3033 10 direct direct VB 39713 3033 11 their -PRON- PRP$ 39713 3033 12 efforts effort NNS 39713 3033 13 . . . 39713 3034 1 So so CC 39713 3034 2 , , , 39713 3034 3 in in IN 39713 3034 4 the the DT 39713 3034 5 case case NN 39713 3034 6 of of IN 39713 3034 7 incommensurable incommensurable JJ 39713 3034 8 numbers number NNS 39713 3034 9 . . . 39713 3035 1 The the DT 39713 3035 2 vague vague JJ 39713 3035 3 idea idea NN 39713 3035 4 of of IN 39713 3035 5 continuity continuity NN 39713 3035 6 , , , 39713 3035 7 which which WDT 39713 3035 8 we -PRON- PRP 39713 3035 9 owe owe VBP 39713 3035 10 to to TO 39713 3035 11 intuition intuition VB 39713 3035 12 , , , 39713 3035 13 resolved resolve VBD 39713 3035 14 itself -PRON- PRP 39713 3035 15 into into IN 39713 3035 16 a a DT 39713 3035 17 complicated complicated JJ 39713 3035 18 system system NN 39713 3035 19 of of IN 39713 3035 20 inequalities inequality NNS 39713 3035 21 referring refer VBG 39713 3035 22 to to IN 39713 3035 23 whole whole JJ 39713 3035 24 numbers number NNS 39713 3035 25 . . . 39713 3036 1 By by IN 39713 3036 2 that that DT 39713 3036 3 means mean VBZ 39713 3036 4 the the DT 39713 3036 5 difficulties difficulty NNS 39713 3036 6 arising arise VBG 39713 3036 7 from from IN 39713 3036 8 passing pass VBG 39713 3036 9 to to IN 39713 3036 10 the the DT 39713 3036 11 limit limit NN 39713 3036 12 , , , 39713 3036 13 or or CC 39713 3036 14 from from IN 39713 3036 15 the the DT 39713 3036 16 consideration consideration NN 39713 3036 17 of of IN 39713 3036 18 infinitesimals infinitesimal NNS 39713 3036 19 , , , 39713 3036 20 are be VBP 39713 3036 21 finally finally RB 39713 3036 22 removed remove VBN 39713 3036 23 . . . 39713 3037 1 To to NN 39713 3037 2 - - HYPH 39713 3037 3 day day NN 39713 3037 4 in in IN 39713 3037 5 analysis analysis NN 39713 3037 6 only only RB 39713 3037 7 whole whole JJ 39713 3037 8 numbers number NNS 39713 3037 9 are be VBP 39713 3037 10 left leave VBN 39713 3037 11 or or CC 39713 3037 12 systems system NNS 39713 3037 13 , , , 39713 3037 14 finite finite VB 39713 3037 15 or or CC 39713 3037 16 infinite infinite JJ 39713 3037 17 , , , 39713 3037 18 of of IN 39713 3037 19 whole whole JJ 39713 3037 20 numbers number NNS 39713 3037 21 bound bind VBN 39713 3037 22 together together RB 39713 3037 23 by by IN 39713 3037 24 a a DT 39713 3037 25 net net NN 39713 3037 26 of of IN 39713 3037 27 equality equality NN 39713 3037 28 or or CC 39713 3037 29 inequality inequality NN 39713 3037 30 relations relation NNS 39713 3037 31 . . . 39713 3038 1 Mathematics mathematic NNS 39713 3038 2 , , , 39713 3038 3 as as IN 39713 3038 4 they -PRON- PRP 39713 3038 5 say say VBP 39713 3038 6 , , , 39713 3038 7 is be VBZ 39713 3038 8 arithmetized arithmetize VBN 39713 3038 9 . . . 39713 3039 1 III III NNP 39713 3039 2 A a DT 39713 3039 3 first first JJ 39713 3039 4 question question NN 39713 3039 5 presents present VBZ 39713 3039 6 itself -PRON- PRP 39713 3039 7 . . . 39713 3040 1 Is be VBZ 39713 3040 2 this this DT 39713 3040 3 evolution evolution NN 39713 3040 4 ended end VBD 39713 3040 5 ? ? . 39713 3041 1 Have have VBP 39713 3041 2 we -PRON- PRP 39713 3041 3 finally finally RB 39713 3041 4 attained attain VBN 39713 3041 5 absolute absolute JJ 39713 3041 6 rigor rigor NN 39713 3041 7 ? ? . 39713 3042 1 At at IN 39713 3042 2 each each DT 39713 3042 3 stage stage NN 39713 3042 4 of of IN 39713 3042 5 the the DT 39713 3042 6 evolution evolution NN 39713 3042 7 our -PRON- PRP$ 39713 3042 8 fathers father NNS 39713 3042 9 also also RB 39713 3042 10 thought think VBD 39713 3042 11 they -PRON- PRP 39713 3042 12 had have VBD 39713 3042 13 reached reach VBN 39713 3042 14 it -PRON- PRP 39713 3042 15 . . . 39713 3043 1 If if IN 39713 3043 2 they -PRON- PRP 39713 3043 3 deceived deceive VBD 39713 3043 4 themselves -PRON- PRP 39713 3043 5 , , , 39713 3043 6 do do VBP 39713 3043 7 we -PRON- PRP 39713 3043 8 not not RB 39713 3043 9 likewise likewise RB 39713 3043 10 cheat cheat VB 39713 3043 11 ourselves -PRON- PRP 39713 3043 12 ? ? . 39713 3044 1 We -PRON- PRP 39713 3044 2 believe believe VBP 39713 3044 3 that that IN 39713 3044 4 in in IN 39713 3044 5 our -PRON- PRP$ 39713 3044 6 reasonings reasoning NNS 39713 3044 7 we -PRON- PRP 39713 3044 8 no no RB 39713 3044 9 longer long RBR 39713 3044 10 appeal appeal VBP 39713 3044 11 to to IN 39713 3044 12 intuition intuition NN 39713 3044 13 ; ; : 39713 3044 14 the the DT 39713 3044 15 philosophers philosopher NNS 39713 3044 16 will will MD 39713 3044 17 tell tell VB 39713 3044 18 us -PRON- PRP 39713 3044 19 this this DT 39713 3044 20 is be VBZ 39713 3044 21 an an DT 39713 3044 22 illusion illusion NN 39713 3044 23 . . . 39713 3045 1 Pure pure JJ 39713 3045 2 logic logic NN 39713 3045 3 could could MD 39713 3045 4 never never RB 39713 3045 5 lead lead VB 39713 3045 6 us -PRON- PRP 39713 3045 7 to to IN 39713 3045 8 anything anything NN 39713 3045 9 but but IN 39713 3045 10 tautologies tautology NNS 39713 3045 11 ; ; : 39713 3045 12 it -PRON- PRP 39713 3045 13 could could MD 39713 3045 14 create create VB 39713 3045 15 nothing nothing NN 39713 3045 16 new new JJ 39713 3045 17 ; ; : 39713 3045 18 not not RB 39713 3045 19 from from IN 39713 3045 20 it -PRON- PRP 39713 3045 21 alone alone RB 39713 3045 22 can can MD 39713 3045 23 any any DT 39713 3045 24 science science NN 39713 3045 25 issue issue NN 39713 3045 26 . . . 39713 3046 1 In in IN 39713 3046 2 one one CD 39713 3046 3 sense sense NN 39713 3046 4 these these DT 39713 3046 5 philosophers philosopher NNS 39713 3046 6 are be VBP 39713 3046 7 right right JJ 39713 3046 8 ; ; : 39713 3046 9 to to TO 39713 3046 10 make make VB 39713 3046 11 arithmetic arithmetic JJ 39713 3046 12 , , , 39713 3046 13 as as IN 39713 3046 14 to to TO 39713 3046 15 make make VB 39713 3046 16 geometry geometry NN 39713 3046 17 , , , 39713 3046 18 or or CC 39713 3046 19 to to TO 39713 3046 20 make make VB 39713 3046 21 any any DT 39713 3046 22 science science NN 39713 3046 23 , , , 39713 3046 24 something something NN 39713 3046 25 else else RB 39713 3046 26 than than IN 39713 3046 27 pure pure JJ 39713 3046 28 logic logic NN 39713 3046 29 is be VBZ 39713 3046 30 necessary necessary JJ 39713 3046 31 . . . 39713 3047 1 To to TO 39713 3047 2 designate designate VB 39713 3047 3 this this DT 39713 3047 4 something something NN 39713 3047 5 else else RB 39713 3047 6 we -PRON- PRP 39713 3047 7 have have VBP 39713 3047 8 no no DT 39713 3047 9 word word NN 39713 3047 10 other other JJ 39713 3047 11 than than IN 39713 3047 12 _ _ NNP 39713 3047 13 intuition intuition NN 39713 3047 14 _ _ NNP 39713 3047 15 . . . 39713 3048 1 But but CC 39713 3048 2 how how WRB 39713 3048 3 many many JJ 39713 3048 4 different different JJ 39713 3048 5 ideas idea NNS 39713 3048 6 are be VBP 39713 3048 7 hidden hide VBN 39713 3048 8 under under IN 39713 3048 9 this this DT 39713 3048 10 same same JJ 39713 3048 11 word word NN 39713 3048 12 ? ? . 39713 3049 1 Compare compare VB 39713 3049 2 these these DT 39713 3049 3 four four CD 39713 3049 4 axioms axiom NNS 39713 3049 5 : : : 39713 3049 6 ( ( -LRB- 39713 3049 7 1 1 LS 39713 3049 8 ) ) -RRB- 39713 3049 9 Two two CD 39713 3049 10 quantities quantity NNS 39713 3049 11 equal equal JJ 39713 3049 12 to to IN 39713 3049 13 a a DT 39713 3049 14 third third JJ 39713 3049 15 are be VBP 39713 3049 16 equal equal JJ 39713 3049 17 to to IN 39713 3049 18 one one CD 39713 3049 19 another another DT 39713 3049 20 ; ; : 39713 3049 21 ( ( -LRB- 39713 3049 22 2 2 LS 39713 3049 23 ) ) -RRB- 39713 3049 24 if if IN 39713 3049 25 a a DT 39713 3049 26 theorem theorem NN 39713 3049 27 is be VBZ 39713 3049 28 true true JJ 39713 3049 29 of of IN 39713 3049 30 the the DT 39713 3049 31 number number NN 39713 3049 32 1 1 CD 39713 3049 33 and and CC 39713 3049 34 if if IN 39713 3049 35 we -PRON- PRP 39713 3049 36 prove prove VBP 39713 3049 37 that that IN 39713 3049 38 it -PRON- PRP 39713 3049 39 is be VBZ 39713 3049 40 true true JJ 39713 3049 41 of of IN 39713 3049 42 _ _ NNP 39713 3049 43 n n CC 39713 3049 44 _ _ NNP 39713 3049 45 + + CC 39713 3049 46 1 1 CD 39713 3049 47 if if IN 39713 3049 48 true true JJ 39713 3049 49 for for IN 39713 3049 50 _ _ NNP 39713 3049 51 n n CC 39713 3049 52 _ _ NNP 39713 3049 53 , , , 39713 3049 54 then then RB 39713 3049 55 will will MD 39713 3049 56 it -PRON- PRP 39713 3049 57 be be VB 39713 3049 58 true true JJ 39713 3049 59 of of IN 39713 3049 60 all all DT 39713 3049 61 whole whole JJ 39713 3049 62 numbers number NNS 39713 3049 63 ; ; : 39713 3049 64 ( ( -LRB- 39713 3049 65 3 3 LS 39713 3049 66 ) ) -RRB- 39713 3049 67 if if IN 39713 3049 68 on on IN 39713 3049 69 a a DT 39713 3049 70 straight straight NN 39713 3049 71 the the DT 39713 3049 72 point point NN 39713 3049 73 _ _ NNP 39713 3049 74 C C NNP 39713 3049 75 _ _ NNP 39713 3049 76 is be VBZ 39713 3049 77 between between IN 39713 3049 78 _ _ NNP 39713 3049 79 A A NNP 39713 3049 80 _ _ NNP 39713 3049 81 and and CC 39713 3049 82 _ _ NNP 39713 3049 83 B B NNP 39713 3049 84 _ _ NNP 39713 3049 85 and and CC 39713 3049 86 the the DT 39713 3049 87 point point NN 39713 3049 88 _ _ NNP 39713 3049 89 D D NNP 39713 3049 90 _ _ NNP 39713 3049 91 between between IN 39713 3049 92 _ _ NNP 39713 3049 93 A A NNP 39713 3049 94 _ _ NNP 39713 3049 95 and and CC 39713 3049 96 _ _ NNP 39713 3049 97 C C NNP 39713 3049 98 _ _ NNP 39713 3049 99 , , , 39713 3049 100 then then RB 39713 3049 101 the the DT 39713 3049 102 point point NN 39713 3049 103 _ _ NNP 39713 3049 104 D D NNP 39713 3049 105 _ _ NNP 39713 3049 106 will will MD 39713 3049 107 be be VB 39713 3049 108 between between IN 39713 3049 109 _ _ NNP 39713 3049 110 A A NNP 39713 3049 111 _ _ NNP 39713 3049 112 and and CC 39713 3049 113 _ _ NNP 39713 3049 114 B B NNP 39713 3049 115 _ _ NNP 39713 3049 116 ; ; : 39713 3049 117 ( ( -LRB- 39713 3049 118 4 4 LS 39713 3049 119 ) ) -RRB- 39713 3049 120 through through IN 39713 3049 121 a a DT 39713 3049 122 given give VBN 39713 3049 123 point point NN 39713 3049 124 there there EX 39713 3049 125 is be VBZ 39713 3049 126 not not RB 39713 3049 127 more more JJR 39713 3049 128 than than IN 39713 3049 129 one one CD 39713 3049 130 parallel parallel NN 39713 3049 131 to to IN 39713 3049 132 a a DT 39713 3049 133 given give VBN 39713 3049 134 straight straight NN 39713 3049 135 . . . 39713 3050 1 All all DT 39713 3050 2 four four CD 39713 3050 3 are be VBP 39713 3050 4 attributed attribute VBN 39713 3050 5 to to IN 39713 3050 6 intuition intuition NN 39713 3050 7 , , , 39713 3050 8 and and CC 39713 3050 9 yet yet RB 39713 3050 10 the the DT 39713 3050 11 first first JJ 39713 3050 12 is be VBZ 39713 3050 13 the the DT 39713 3050 14 enunciation enunciation NN 39713 3050 15 of of IN 39713 3050 16 one one CD 39713 3050 17 of of IN 39713 3050 18 the the DT 39713 3050 19 rules rule NNS 39713 3050 20 of of IN 39713 3050 21 formal formal JJ 39713 3050 22 logic logic NN 39713 3050 23 ; ; : 39713 3050 24 the the DT 39713 3050 25 second second JJ 39713 3050 26 is be VBZ 39713 3050 27 a a DT 39713 3050 28 real real JJ 39713 3050 29 synthetic synthetic JJ 39713 3050 30 _ _ NNP 39713 3050 31 a a DT 39713 3050 32 priori priori FW 39713 3050 33 _ _ NNP 39713 3050 34 judgment judgment NN 39713 3050 35 , , , 39713 3050 36 it -PRON- PRP 39713 3050 37 is be VBZ 39713 3050 38 the the DT 39713 3050 39 foundation foundation NN 39713 3050 40 of of IN 39713 3050 41 rigorous rigorous JJ 39713 3050 42 mathematical mathematical JJ 39713 3050 43 induction induction NN 39713 3050 44 ; ; : 39713 3050 45 the the DT 39713 3050 46 third third JJ 39713 3050 47 is be VBZ 39713 3050 48 an an DT 39713 3050 49 appeal appeal NN 39713 3050 50 to to IN 39713 3050 51 the the DT 39713 3050 52 imagination imagination NN 39713 3050 53 ; ; : 39713 3050 54 the the DT 39713 3050 55 fourth fourth JJ 39713 3050 56 is be VBZ 39713 3050 57 a a DT 39713 3050 58 disguised disguised JJ 39713 3050 59 definition definition NN 39713 3050 60 . . . 39713 3051 1 Intuition intuition NN 39713 3051 2 is be VBZ 39713 3051 3 not not RB 39713 3051 4 necessarily necessarily RB 39713 3051 5 founded found VBN 39713 3051 6 on on IN 39713 3051 7 the the DT 39713 3051 8 evidence evidence NN 39713 3051 9 of of IN 39713 3051 10 the the DT 39713 3051 11 senses sense NNS 39713 3051 12 ; ; : 39713 3051 13 the the DT 39713 3051 14 senses sense NNS 39713 3051 15 would would MD 39713 3051 16 soon soon RB 39713 3051 17 become become VB 39713 3051 18 powerless powerless JJ 39713 3051 19 ; ; : 39713 3051 20 for for IN 39713 3051 21 example example NN 39713 3051 22 , , , 39713 3051 23 we -PRON- PRP 39713 3051 24 can can MD 39713 3051 25 not not RB 39713 3051 26 represent represent VB 39713 3051 27 to to IN 39713 3051 28 ourselves -PRON- PRP 39713 3051 29 a a DT 39713 3051 30 chiliagon chiliagon NN 39713 3051 31 , , , 39713 3051 32 and and CC 39713 3051 33 yet yet RB 39713 3051 34 we -PRON- PRP 39713 3051 35 reason reason VBP 39713 3051 36 by by IN 39713 3051 37 intuition intuition NN 39713 3051 38 on on IN 39713 3051 39 polygons polygon NNS 39713 3051 40 in in IN 39713 3051 41 general general JJ 39713 3051 42 , , , 39713 3051 43 which which WDT 39713 3051 44 include include VBP 39713 3051 45 the the DT 39713 3051 46 chiliagon chiliagon NN 39713 3051 47 as as IN 39713 3051 48 a a DT 39713 3051 49 particular particular JJ 39713 3051 50 case case NN 39713 3051 51 . . . 39713 3052 1 You -PRON- PRP 39713 3052 2 know know VBP 39713 3052 3 what what WP 39713 3052 4 Poncelet Poncelet NNP 39713 3052 5 understood understand VBD 39713 3052 6 by by IN 39713 3052 7 the the DT 39713 3052 8 _ _ NNP 39713 3052 9 principle principle NN 39713 3052 10 of of IN 39713 3052 11 continuity continuity NN 39713 3052 12 _ _ NNP 39713 3052 13 . . . 39713 3053 1 What what WP 39713 3053 2 is be VBZ 39713 3053 3 true true JJ 39713 3053 4 of of IN 39713 3053 5 a a DT 39713 3053 6 real real JJ 39713 3053 7 quantity quantity NN 39713 3053 8 , , , 39713 3053 9 said say VBD 39713 3053 10 Poncelet Poncelet NNP 39713 3053 11 , , , 39713 3053 12 should should MD 39713 3053 13 be be VB 39713 3053 14 true true JJ 39713 3053 15 of of IN 39713 3053 16 an an DT 39713 3053 17 imaginary imaginary JJ 39713 3053 18 quantity quantity NN 39713 3053 19 ; ; : 39713 3053 20 what what WP 39713 3053 21 is be VBZ 39713 3053 22 true true JJ 39713 3053 23 of of IN 39713 3053 24 the the DT 39713 3053 25 hyperbola hyperbola NN 39713 3053 26 whose whose WP$ 39713 3053 27 asymptotes asymptote NNS 39713 3053 28 are be VBP 39713 3053 29 real real JJ 39713 3053 30 , , , 39713 3053 31 should should MD 39713 3053 32 then then RB 39713 3053 33 be be VB 39713 3053 34 true true JJ 39713 3053 35 of of IN 39713 3053 36 the the DT 39713 3053 37 ellipse ellipse NN 39713 3053 38 whose whose WP$ 39713 3053 39 asymptotes asymptote NNS 39713 3053 40 are be VBP 39713 3053 41 imaginary imaginary JJ 39713 3053 42 . . . 39713 3054 1 Poncelet Poncelet NNP 39713 3054 2 was be VBD 39713 3054 3 one one CD 39713 3054 4 of of IN 39713 3054 5 the the DT 39713 3054 6 most most RBS 39713 3054 7 intuitive intuitive JJ 39713 3054 8 minds mind NNS 39713 3054 9 of of IN 39713 3054 10 this this DT 39713 3054 11 century century NN 39713 3054 12 ; ; : 39713 3054 13 he -PRON- PRP 39713 3054 14 was be VBD 39713 3054 15 passionately passionately RB 39713 3054 16 , , , 39713 3054 17 almost almost RB 39713 3054 18 ostentatiously ostentatiously RB 39713 3054 19 , , , 39713 3054 20 so so RB 39713 3054 21 ; ; : 39713 3054 22 he -PRON- PRP 39713 3054 23 regarded regard VBD 39713 3054 24 the the DT 39713 3054 25 principle principle NN 39713 3054 26 of of IN 39713 3054 27 continuity continuity NN 39713 3054 28 as as IN 39713 3054 29 one one CD 39713 3054 30 of of IN 39713 3054 31 his -PRON- PRP$ 39713 3054 32 boldest bold JJS 39713 3054 33 conceptions conception NNS 39713 3054 34 , , , 39713 3054 35 and and CC 39713 3054 36 yet yet RB 39713 3054 37 this this DT 39713 3054 38 principle principle NN 39713 3054 39 did do VBD 39713 3054 40 not not RB 39713 3054 41 rest rest VB 39713 3054 42 on on IN 39713 3054 43 the the DT 39713 3054 44 evidence evidence NN 39713 3054 45 of of IN 39713 3054 46 the the DT 39713 3054 47 senses sense NNS 39713 3054 48 . . . 39713 3055 1 To to TO 39713 3055 2 assimilate assimilate VB 39713 3055 3 the the DT 39713 3055 4 hyperbola hyperbola NN 39713 3055 5 to to IN 39713 3055 6 the the DT 39713 3055 7 ellipse ellipse NN 39713 3055 8 was be VBD 39713 3055 9 rather rather RB 39713 3055 10 to to TO 39713 3055 11 contradict contradict VB 39713 3055 12 this this DT 39713 3055 13 evidence evidence NN 39713 3055 14 . . . 39713 3056 1 It -PRON- PRP 39713 3056 2 was be VBD 39713 3056 3 only only RB 39713 3056 4 a a DT 39713 3056 5 sort sort NN 39713 3056 6 of of IN 39713 3056 7 precocious precocious JJ 39713 3056 8 and and CC 39713 3056 9 instinctive instinctive JJ 39713 3056 10 generalization generalization NN 39713 3056 11 which which WDT 39713 3056 12 , , , 39713 3056 13 moreover moreover RB 39713 3056 14 , , , 39713 3056 15 I -PRON- PRP 39713 3056 16 have have VBP 39713 3056 17 no no DT 39713 3056 18 desire desire NN 39713 3056 19 to to TO 39713 3056 20 defend defend VB 39713 3056 21 . . . 39713 3057 1 We -PRON- PRP 39713 3057 2 have have VBP 39713 3057 3 then then RB 39713 3057 4 many many JJ 39713 3057 5 kinds kind NNS 39713 3057 6 of of IN 39713 3057 7 intuition intuition NN 39713 3057 8 ; ; : 39713 3057 9 first first RB 39713 3057 10 , , , 39713 3057 11 the the DT 39713 3057 12 appeal appeal NN 39713 3057 13 to to IN 39713 3057 14 the the DT 39713 3057 15 senses sense NNS 39713 3057 16 and and CC 39713 3057 17 the the DT 39713 3057 18 imagination imagination NN 39713 3057 19 ; ; : 39713 3057 20 next next RB 39713 3057 21 , , , 39713 3057 22 generalization generalization NN 39713 3057 23 by by IN 39713 3057 24 induction induction NN 39713 3057 25 , , , 39713 3057 26 copied copy VBN 39713 3057 27 , , , 39713 3057 28 so so RB 39713 3057 29 to to TO 39713 3057 30 speak speak VB 39713 3057 31 , , , 39713 3057 32 from from IN 39713 3057 33 the the DT 39713 3057 34 procedures procedure NNS 39713 3057 35 of of IN 39713 3057 36 the the DT 39713 3057 37 experimental experimental JJ 39713 3057 38 sciences sciences NNPS 39713 3057 39 ; ; : 39713 3057 40 finally finally RB 39713 3057 41 , , , 39713 3057 42 we -PRON- PRP 39713 3057 43 have have VBP 39713 3057 44 the the DT 39713 3057 45 intuition intuition NN 39713 3057 46 of of IN 39713 3057 47 pure pure JJ 39713 3057 48 number number NN 39713 3057 49 , , , 39713 3057 50 whence whence NN 39713 3057 51 arose arise VBD 39713 3057 52 the the DT 39713 3057 53 second second JJ 39713 3057 54 of of IN 39713 3057 55 the the DT 39713 3057 56 axioms axiom NNS 39713 3057 57 just just RB 39713 3057 58 enunciated enunciate VBN 39713 3057 59 , , , 39713 3057 60 which which WDT 39713 3057 61 is be VBZ 39713 3057 62 able able JJ 39713 3057 63 to to TO 39713 3057 64 create create VB 39713 3057 65 the the DT 39713 3057 66 real real JJ 39713 3057 67 mathematical mathematical JJ 39713 3057 68 reasoning reasoning NN 39713 3057 69 . . . 39713 3058 1 I -PRON- PRP 39713 3058 2 have have VBP 39713 3058 3 shown show VBN 39713 3058 4 above above IN 39713 3058 5 by by IN 39713 3058 6 examples example NNS 39713 3058 7 that that IN 39713 3058 8 the the DT 39713 3058 9 first first JJ 39713 3058 10 two two CD 39713 3058 11 can can MD 39713 3058 12 not not RB 39713 3058 13 give give VB 39713 3058 14 us -PRON- PRP 39713 3058 15 certainty certainty NN 39713 3058 16 ; ; : 39713 3058 17 but but CC 39713 3058 18 who who WP 39713 3058 19 will will MD 39713 3058 20 seriously seriously RB 39713 3058 21 doubt doubt VB 39713 3058 22 the the DT 39713 3058 23 third third JJ 39713 3058 24 , , , 39713 3058 25 who who WP 39713 3058 26 will will MD 39713 3058 27 doubt doubt VB 39713 3058 28 arithmetic arithmetic JJ 39713 3058 29 ? ? . 39713 3059 1 Now now RB 39713 3059 2 in in IN 39713 3059 3 the the DT 39713 3059 4 analysis analysis NN 39713 3059 5 of of IN 39713 3059 6 to to IN 39713 3059 7 - - HYPH 39713 3059 8 day day NN 39713 3059 9 , , , 39713 3059 10 when when WRB 39713 3059 11 one one PRP 39713 3059 12 cares care VBZ 39713 3059 13 to to TO 39713 3059 14 take take VB 39713 3059 15 the the DT 39713 3059 16 trouble trouble NN 39713 3059 17 to to TO 39713 3059 18 be be VB 39713 3059 19 rigorous rigorous JJ 39713 3059 20 , , , 39713 3059 21 there there EX 39713 3059 22 can can MD 39713 3059 23 be be VB 39713 3059 24 nothing nothing NN 39713 3059 25 but but IN 39713 3059 26 syllogisms syllogism NNS 39713 3059 27 or or CC 39713 3059 28 appeals appeal NNS 39713 3059 29 to to IN 39713 3059 30 this this DT 39713 3059 31 intuition intuition NN 39713 3059 32 of of IN 39713 3059 33 pure pure JJ 39713 3059 34 number number NN 39713 3059 35 , , , 39713 3059 36 the the DT 39713 3059 37 only only JJ 39713 3059 38 intuition intuition NN 39713 3059 39 which which WDT 39713 3059 40 can can MD 39713 3059 41 not not RB 39713 3059 42 deceive deceive VB 39713 3059 43 us -PRON- PRP 39713 3059 44 . . . 39713 3060 1 It -PRON- PRP 39713 3060 2 may may MD 39713 3060 3 be be VB 39713 3060 4 said say VBN 39713 3060 5 that that IN 39713 3060 6 to to IN 39713 3060 7 - - HYPH 39713 3060 8 day day NN 39713 3060 9 absolute absolute JJ 39713 3060 10 rigor rigor NN 39713 3060 11 is be VBZ 39713 3060 12 attained attain VBN 39713 3060 13 . . . 39713 3061 1 IV IV NNP 39713 3061 2 The the DT 39713 3061 3 philosophers philosopher NNS 39713 3061 4 make make VBP 39713 3061 5 still still RB 39713 3061 6 another another DT 39713 3061 7 objection objection NN 39713 3061 8 : : : 39713 3061 9 " " `` 39713 3061 10 What what WP 39713 3061 11 you -PRON- PRP 39713 3061 12 gain gain VBP 39713 3061 13 in in IN 39713 3061 14 rigor rigor NNP 39713 3061 15 , , , 39713 3061 16 " " '' 39713 3061 17 they -PRON- PRP 39713 3061 18 say say VBP 39713 3061 19 , , , 39713 3061 20 " " `` 39713 3061 21 you -PRON- PRP 39713 3061 22 lose lose VBP 39713 3061 23 in in IN 39713 3061 24 objectivity objectivity NN 39713 3061 25 . . . 39713 3062 1 You -PRON- PRP 39713 3062 2 can can MD 39713 3062 3 rise rise VB 39713 3062 4 toward toward IN 39713 3062 5 your -PRON- PRP$ 39713 3062 6 logical logical JJ 39713 3062 7 ideal ideal NN 39713 3062 8 only only RB 39713 3062 9 by by IN 39713 3062 10 cutting cut VBG 39713 3062 11 the the DT 39713 3062 12 bonds bond NNS 39713 3062 13 which which WDT 39713 3062 14 attach attach VBP 39713 3062 15 you -PRON- PRP 39713 3062 16 to to IN 39713 3062 17 reality reality NN 39713 3062 18 . . . 39713 3063 1 Your -PRON- PRP$ 39713 3063 2 science science NN 39713 3063 3 is be VBZ 39713 3063 4 infallible infallible JJ 39713 3063 5 , , , 39713 3063 6 but but CC 39713 3063 7 it -PRON- PRP 39713 3063 8 can can MD 39713 3063 9 only only RB 39713 3063 10 remain remain VB 39713 3063 11 so so RB 39713 3063 12 by by IN 39713 3063 13 imprisoning imprison VBG 39713 3063 14 itself -PRON- PRP 39713 3063 15 in in IN 39713 3063 16 an an DT 39713 3063 17 ivory ivory NN 39713 3063 18 tower tower NN 39713 3063 19 and and CC 39713 3063 20 renouncing renounce VBG 39713 3063 21 all all DT 39713 3063 22 relation relation NN 39713 3063 23 with with IN 39713 3063 24 the the DT 39713 3063 25 external external JJ 39713 3063 26 world world NN 39713 3063 27 . . . 39713 3064 1 From from IN 39713 3064 2 this this DT 39713 3064 3 seclusion seclusion NN 39713 3064 4 it -PRON- PRP 39713 3064 5 must must MD 39713 3064 6 go go VB 39713 3064 7 out out RP 39713 3064 8 when when WRB 39713 3064 9 it -PRON- PRP 39713 3064 10 would would MD 39713 3064 11 attempt attempt VB 39713 3064 12 the the DT 39713 3064 13 slightest slight JJS 39713 3064 14 application application NN 39713 3064 15 . . . 39713 3064 16 " " '' 39713 3065 1 For for IN 39713 3065 2 example example NN 39713 3065 3 , , , 39713 3065 4 I -PRON- PRP 39713 3065 5 seek seek VBP 39713 3065 6 to to TO 39713 3065 7 show show VB 39713 3065 8 that that IN 39713 3065 9 some some DT 39713 3065 10 property property NN 39713 3065 11 pertains pertain VBZ 39713 3065 12 to to IN 39713 3065 13 some some DT 39713 3065 14 object object NN 39713 3065 15 whose whose WP$ 39713 3065 16 concept concept NN 39713 3065 17 seems seem VBZ 39713 3065 18 to to IN 39713 3065 19 me -PRON- PRP 39713 3065 20 at at IN 39713 3065 21 first first RB 39713 3065 22 indefinable indefinable JJ 39713 3065 23 , , , 39713 3065 24 because because IN 39713 3065 25 it -PRON- PRP 39713 3065 26 is be VBZ 39713 3065 27 intuitive intuitive JJ 39713 3065 28 . . . 39713 3066 1 At at IN 39713 3066 2 first first RB 39713 3066 3 I -PRON- PRP 39713 3066 4 fail fail VBP 39713 3066 5 or or CC 39713 3066 6 must must MD 39713 3066 7 content content VB 39713 3066 8 myself -PRON- PRP 39713 3066 9 with with IN 39713 3066 10 approximate approximate JJ 39713 3066 11 proofs proof NNS 39713 3066 12 ; ; : 39713 3066 13 finally finally RB 39713 3066 14 I -PRON- PRP 39713 3066 15 decide decide VBP 39713 3066 16 to to TO 39713 3066 17 give give VB 39713 3066 18 to to IN 39713 3066 19 my -PRON- PRP$ 39713 3066 20 object object NN 39713 3066 21 a a DT 39713 3066 22 precise precise JJ 39713 3066 23 definition definition NN 39713 3066 24 , , , 39713 3066 25 and and CC 39713 3066 26 this this DT 39713 3066 27 enables enable VBZ 39713 3066 28 me -PRON- PRP 39713 3066 29 to to TO 39713 3066 30 establish establish VB 39713 3066 31 this this DT 39713 3066 32 property property NN 39713 3066 33 in in IN 39713 3066 34 an an DT 39713 3066 35 irreproachable irreproachable JJ 39713 3066 36 manner manner NN 39713 3066 37 . . . 39713 3067 1 " " `` 39713 3067 2 And and CC 39713 3067 3 then then RB 39713 3067 4 , , , 39713 3067 5 " " '' 39713 3067 6 say say VBP 39713 3067 7 the the DT 39713 3067 8 philosophers philosopher NNS 39713 3067 9 , , , 39713 3067 10 " " '' 39713 3067 11 it -PRON- PRP 39713 3067 12 still still RB 39713 3067 13 remains remain VBZ 39713 3067 14 to to TO 39713 3067 15 show show VB 39713 3067 16 that that IN 39713 3067 17 the the DT 39713 3067 18 object object NN 39713 3067 19 which which WDT 39713 3067 20 corresponds correspond VBZ 39713 3067 21 to to IN 39713 3067 22 this this DT 39713 3067 23 definition definition NN 39713 3067 24 is be VBZ 39713 3067 25 indeed indeed RB 39713 3067 26 the the DT 39713 3067 27 same same JJ 39713 3067 28 made make VBN 39713 3067 29 known known JJ 39713 3067 30 to to IN 39713 3067 31 you -PRON- PRP 39713 3067 32 by by IN 39713 3067 33 intuition intuition NN 39713 3067 34 ; ; : 39713 3067 35 or or CC 39713 3067 36 else else RB 39713 3067 37 that that WDT 39713 3067 38 some some DT 39713 3067 39 real real JJ 39713 3067 40 and and CC 39713 3067 41 concrete concrete JJ 39713 3067 42 object object NN 39713 3067 43 whose whose WP$ 39713 3067 44 conformity conformity NN 39713 3067 45 with with IN 39713 3067 46 your -PRON- PRP$ 39713 3067 47 intuitive intuitive JJ 39713 3067 48 idea idea NN 39713 3067 49 you -PRON- PRP 39713 3067 50 believe believe VBP 39713 3067 51 you -PRON- PRP 39713 3067 52 immediately immediately RB 39713 3067 53 recognize recognize VBP 39713 3067 54 corresponds correspond NNS 39713 3067 55 to to IN 39713 3067 56 your -PRON- PRP$ 39713 3067 57 new new JJ 39713 3067 58 definition definition NN 39713 3067 59 . . . 39713 3068 1 Only only RB 39713 3068 2 then then RB 39713 3068 3 could could MD 39713 3068 4 you -PRON- PRP 39713 3068 5 affirm affirm VB 39713 3068 6 that that IN 39713 3068 7 it -PRON- PRP 39713 3068 8 has have VBZ 39713 3068 9 the the DT 39713 3068 10 property property NN 39713 3068 11 in in IN 39713 3068 12 question question NN 39713 3068 13 . . . 39713 3069 1 You -PRON- PRP 39713 3069 2 have have VBP 39713 3069 3 only only RB 39713 3069 4 displaced displace VBN 39713 3069 5 the the DT 39713 3069 6 difficulty difficulty NN 39713 3069 7 . . . 39713 3069 8 " " '' 39713 3070 1 That that DT 39713 3070 2 is be VBZ 39713 3070 3 not not RB 39713 3070 4 exactly exactly RB 39713 3070 5 so so RB 39713 3070 6 ; ; : 39713 3070 7 the the DT 39713 3070 8 difficulty difficulty NN 39713 3070 9 has have VBZ 39713 3070 10 not not RB 39713 3070 11 been be VBN 39713 3070 12 displaced displace VBN 39713 3070 13 , , , 39713 3070 14 it -PRON- PRP 39713 3070 15 has have VBZ 39713 3070 16 been be VBN 39713 3070 17 divided divide VBN 39713 3070 18 . . . 39713 3071 1 The the DT 39713 3071 2 proposition proposition NN 39713 3071 3 to to TO 39713 3071 4 be be VB 39713 3071 5 established establish VBN 39713 3071 6 was be VBD 39713 3071 7 in in IN 39713 3071 8 reality reality NN 39713 3071 9 composed compose VBN 39713 3071 10 of of IN 39713 3071 11 two two CD 39713 3071 12 different different JJ 39713 3071 13 truths truth NNS 39713 3071 14 , , , 39713 3071 15 at at IN 39713 3071 16 first first RB 39713 3071 17 not not RB 39713 3071 18 distinguished distinguish VBN 39713 3071 19 . . . 39713 3072 1 The the DT 39713 3072 2 first first JJ 39713 3072 3 was be VBD 39713 3072 4 a a DT 39713 3072 5 mathematical mathematical JJ 39713 3072 6 truth truth NN 39713 3072 7 , , , 39713 3072 8 and and CC 39713 3072 9 it -PRON- PRP 39713 3072 10 is be VBZ 39713 3072 11 now now RB 39713 3072 12 rigorously rigorously RB 39713 3072 13 established establish VBN 39713 3072 14 . . . 39713 3073 1 The the DT 39713 3073 2 second second JJ 39713 3073 3 was be VBD 39713 3073 4 an an DT 39713 3073 5 experimental experimental JJ 39713 3073 6 verity verity NN 39713 3073 7 . . . 39713 3074 1 Experience experience NN 39713 3074 2 alone alone RB 39713 3074 3 can can MD 39713 3074 4 teach teach VB 39713 3074 5 us -PRON- PRP 39713 3074 6 that that IN 39713 3074 7 some some DT 39713 3074 8 real real JJ 39713 3074 9 and and CC 39713 3074 10 concrete concrete JJ 39713 3074 11 object object NN 39713 3074 12 corresponds correspond NNS 39713 3074 13 or or CC 39713 3074 14 does do VBZ 39713 3074 15 not not RB 39713 3074 16 correspond correspond VB 39713 3074 17 to to IN 39713 3074 18 some some DT 39713 3074 19 abstract abstract JJ 39713 3074 20 definition definition NN 39713 3074 21 . . . 39713 3075 1 This this DT 39713 3075 2 second second JJ 39713 3075 3 verity verity NN 39713 3075 4 is be VBZ 39713 3075 5 not not RB 39713 3075 6 mathematically mathematically RB 39713 3075 7 demonstrated demonstrate VBN 39713 3075 8 , , , 39713 3075 9 but but CC 39713 3075 10 neither neither CC 39713 3075 11 can can MD 39713 3075 12 it -PRON- PRP 39713 3075 13 be be VB 39713 3075 14 , , , 39713 3075 15 no no DT 39713 3075 16 more more RBR 39713 3075 17 than than IN 39713 3075 18 can can MD 39713 3075 19 the the DT 39713 3075 20 empirical empirical JJ 39713 3075 21 laws law NNS 39713 3075 22 of of IN 39713 3075 23 the the DT 39713 3075 24 physical physical JJ 39713 3075 25 and and CC 39713 3075 26 natural natural JJ 39713 3075 27 sciences science NNS 39713 3075 28 . . . 39713 3076 1 It -PRON- PRP 39713 3076 2 would would MD 39713 3076 3 be be VB 39713 3076 4 unreasonable unreasonable JJ 39713 3076 5 to to TO 39713 3076 6 ask ask VB 39713 3076 7 more more JJR 39713 3076 8 . . . 39713 3077 1 Well well UH 39713 3077 2 , , , 39713 3077 3 is be VBZ 39713 3077 4 it -PRON- PRP 39713 3077 5 not not RB 39713 3077 6 a a DT 39713 3077 7 great great JJ 39713 3077 8 advance advance NN 39713 3077 9 to to TO 39713 3077 10 have have VB 39713 3077 11 distinguished distinguish VBN 39713 3077 12 what what WP 39713 3077 13 long long RB 39713 3077 14 was be VBD 39713 3077 15 wrongly wrongly RB 39713 3077 16 confused confused JJ 39713 3077 17 ? ? . 39713 3078 1 Does do VBZ 39713 3078 2 this this DT 39713 3078 3 mean mean VB 39713 3078 4 that that IN 39713 3078 5 nothing nothing NN 39713 3078 6 is be VBZ 39713 3078 7 left leave VBN 39713 3078 8 of of IN 39713 3078 9 this this DT 39713 3078 10 objection objection NN 39713 3078 11 of of IN 39713 3078 12 the the DT 39713 3078 13 philosophers philosopher NNS 39713 3078 14 ? ? . 39713 3079 1 That that IN 39713 3079 2 I -PRON- PRP 39713 3079 3 do do VBP 39713 3079 4 not not RB 39713 3079 5 intend intend VB 39713 3079 6 to to TO 39713 3079 7 say say VB 39713 3079 8 ; ; : 39713 3079 9 in in IN 39713 3079 10 becoming become VBG 39713 3079 11 rigorous rigorous JJ 39713 3079 12 , , , 39713 3079 13 mathematical mathematical JJ 39713 3079 14 science science NN 39713 3079 15 takes take VBZ 39713 3079 16 a a DT 39713 3079 17 character character NN 39713 3079 18 so so RB 39713 3079 19 artificial artificial JJ 39713 3079 20 as as IN 39713 3079 21 to to TO 39713 3079 22 strike strike VB 39713 3079 23 every every DT 39713 3079 24 one one NN 39713 3079 25 ; ; : 39713 3079 26 it -PRON- PRP 39713 3079 27 forgets forget VBZ 39713 3079 28 its -PRON- PRP$ 39713 3079 29 historical historical JJ 39713 3079 30 origins origin NNS 39713 3079 31 ; ; : 39713 3079 32 we -PRON- PRP 39713 3079 33 see see VBP 39713 3079 34 how how WRB 39713 3079 35 the the DT 39713 3079 36 questions question NNS 39713 3079 37 can can MD 39713 3079 38 be be VB 39713 3079 39 answered answer VBN 39713 3079 40 , , , 39713 3079 41 we -PRON- PRP 39713 3079 42 no no RB 39713 3079 43 longer longer RB 39713 3079 44 see see VBP 39713 3079 45 how how WRB 39713 3079 46 and and CC 39713 3079 47 why why WRB 39713 3079 48 they -PRON- PRP 39713 3079 49 are be VBP 39713 3079 50 put put VBN 39713 3079 51 . . . 39713 3080 1 This this DT 39713 3080 2 shows show VBZ 39713 3080 3 us -PRON- PRP 39713 3080 4 that that IN 39713 3080 5 logic logic NN 39713 3080 6 is be VBZ 39713 3080 7 not not RB 39713 3080 8 enough enough JJ 39713 3080 9 ; ; : 39713 3080 10 that that IN 39713 3080 11 the the DT 39713 3080 12 science science NN 39713 3080 13 of of IN 39713 3080 14 demonstration demonstration NN 39713 3080 15 is be VBZ 39713 3080 16 not not RB 39713 3080 17 all all RB 39713 3080 18 science science NN 39713 3080 19 and and CC 39713 3080 20 that that DT 39713 3080 21 intuition intuition NN 39713 3080 22 must must MD 39713 3080 23 retain retain VB 39713 3080 24 its -PRON- PRP$ 39713 3080 25 rôle rôle NN 39713 3080 26 as as IN 39713 3080 27 complement complement NN 39713 3080 28 , , , 39713 3080 29 I -PRON- PRP 39713 3080 30 was be VBD 39713 3080 31 about about JJ 39713 3080 32 to to TO 39713 3080 33 say say VB 39713 3080 34 as as IN 39713 3080 35 counterpoise counterpoise NN 39713 3080 36 or or CC 39713 3080 37 as as IN 39713 3080 38 antidote antidote NN 39713 3080 39 of of IN 39713 3080 40 logic logic NN 39713 3080 41 . . . 39713 3081 1 I -PRON- PRP 39713 3081 2 have have VBP 39713 3081 3 already already RB 39713 3081 4 had have VBN 39713 3081 5 occasion occasion NN 39713 3081 6 to to TO 39713 3081 7 insist insist VB 39713 3081 8 on on IN 39713 3081 9 the the DT 39713 3081 10 place place NN 39713 3081 11 intuition intuition NN 39713 3081 12 should should MD 39713 3081 13 hold hold VB 39713 3081 14 in in IN 39713 3081 15 the the DT 39713 3081 16 teaching teaching NN 39713 3081 17 of of IN 39713 3081 18 the the DT 39713 3081 19 mathematical mathematical JJ 39713 3081 20 sciences science NNS 39713 3081 21 . . . 39713 3082 1 Without without IN 39713 3082 2 it -PRON- PRP 39713 3082 3 young young JJ 39713 3082 4 minds mind NNS 39713 3082 5 could could MD 39713 3082 6 not not RB 39713 3082 7 make make VB 39713 3082 8 a a DT 39713 3082 9 beginning beginning NN 39713 3082 10 in in IN 39713 3082 11 the the DT 39713 3082 12 understanding understanding NN 39713 3082 13 of of IN 39713 3082 14 mathematics mathematic NNS 39713 3082 15 ; ; : 39713 3082 16 they -PRON- PRP 39713 3082 17 could could MD 39713 3082 18 not not RB 39713 3082 19 learn learn VB 39713 3082 20 to to TO 39713 3082 21 love love VB 39713 3082 22 it -PRON- PRP 39713 3082 23 and and CC 39713 3082 24 would would MD 39713 3082 25 see see VB 39713 3082 26 in in IN 39713 3082 27 it -PRON- PRP 39713 3082 28 only only RB 39713 3082 29 a a DT 39713 3082 30 vain vain JJ 39713 3082 31 logomachy logomachy NN 39713 3082 32 ; ; : 39713 3082 33 above above IN 39713 3082 34 all all DT 39713 3082 35 , , , 39713 3082 36 without without IN 39713 3082 37 intuition intuition NN 39713 3082 38 they -PRON- PRP 39713 3082 39 would would MD 39713 3082 40 never never RB 39713 3082 41 become become VB 39713 3082 42 capable capable JJ 39713 3082 43 of of IN 39713 3082 44 applying apply VBG 39713 3082 45 mathematics mathematic NNS 39713 3082 46 . . . 39713 3083 1 But but CC 39713 3083 2 now now RB 39713 3083 3 I -PRON- PRP 39713 3083 4 wish wish VBP 39713 3083 5 before before IN 39713 3083 6 all all DT 39713 3083 7 to to TO 39713 3083 8 speak speak VB 39713 3083 9 of of IN 39713 3083 10 the the DT 39713 3083 11 rôle rôle NN 39713 3083 12 of of IN 39713 3083 13 intuition intuition NN 39713 3083 14 in in IN 39713 3083 15 science science NN 39713 3083 16 itself -PRON- PRP 39713 3083 17 . . . 39713 3084 1 If if IN 39713 3084 2 it -PRON- PRP 39713 3084 3 is be VBZ 39713 3084 4 useful useful JJ 39713 3084 5 to to IN 39713 3084 6 the the DT 39713 3084 7 student student NN 39713 3084 8 it -PRON- PRP 39713 3084 9 is be VBZ 39713 3084 10 still still RB 39713 3084 11 more more RBR 39713 3084 12 so so RB 39713 3084 13 to to IN 39713 3084 14 the the DT 39713 3084 15 creative creative JJ 39713 3084 16 scientist scientist NN 39713 3084 17 . . . 39713 3085 1 V v NN 39713 3085 2 We -PRON- PRP 39713 3085 3 seek seek VBP 39713 3085 4 reality reality NN 39713 3085 5 , , , 39713 3085 6 but but CC 39713 3085 7 what what WP 39713 3085 8 is be VBZ 39713 3085 9 reality reality NN 39713 3085 10 ? ? . 39713 3086 1 The the DT 39713 3086 2 physiologists physiologist NNS 39713 3086 3 tell tell VBP 39713 3086 4 us -PRON- PRP 39713 3086 5 that that IN 39713 3086 6 organisms organism NNS 39713 3086 7 are be VBP 39713 3086 8 formed form VBN 39713 3086 9 of of IN 39713 3086 10 cells cell NNS 39713 3086 11 ; ; : 39713 3086 12 the the DT 39713 3086 13 chemists chemist NNS 39713 3086 14 add add VBP 39713 3086 15 that that IN 39713 3086 16 cells cell NNS 39713 3086 17 themselves -PRON- PRP 39713 3086 18 are be VBP 39713 3086 19 formed form VBN 39713 3086 20 of of IN 39713 3086 21 atoms atom NNS 39713 3086 22 . . . 39713 3087 1 Does do VBZ 39713 3087 2 this this DT 39713 3087 3 mean mean VB 39713 3087 4 that that IN 39713 3087 5 these these DT 39713 3087 6 atoms atom NNS 39713 3087 7 or or CC 39713 3087 8 these these DT 39713 3087 9 cells cell NNS 39713 3087 10 constitute constitute VBP 39713 3087 11 reality reality NN 39713 3087 12 , , , 39713 3087 13 or or CC 39713 3087 14 rather rather RB 39713 3087 15 the the DT 39713 3087 16 sole sole JJ 39713 3087 17 reality reality NN 39713 3087 18 ? ? . 39713 3088 1 The the DT 39713 3088 2 way way NN 39713 3088 3 in in IN 39713 3088 4 which which WDT 39713 3088 5 these these DT 39713 3088 6 cells cell NNS 39713 3088 7 are be VBP 39713 3088 8 arranged arrange VBN 39713 3088 9 and and CC 39713 3088 10 from from IN 39713 3088 11 which which WDT 39713 3088 12 results result VBZ 39713 3088 13 the the DT 39713 3088 14 unity unity NN 39713 3088 15 of of IN 39713 3088 16 the the DT 39713 3088 17 individual individual NN 39713 3088 18 , , , 39713 3088 19 is be VBZ 39713 3088 20 not not RB 39713 3088 21 it -PRON- PRP 39713 3088 22 also also RB 39713 3088 23 a a DT 39713 3088 24 reality reality NN 39713 3088 25 much much RB 39713 3088 26 more more RBR 39713 3088 27 interesting interesting JJ 39713 3088 28 than than IN 39713 3088 29 that that DT 39713 3088 30 of of IN 39713 3088 31 the the DT 39713 3088 32 isolated isolated JJ 39713 3088 33 elements element NNS 39713 3088 34 , , , 39713 3088 35 and and CC 39713 3088 36 should should MD 39713 3088 37 a a DT 39713 3088 38 naturalist naturalist NN 39713 3088 39 who who WP 39713 3088 40 had have VBD 39713 3088 41 never never RB 39713 3088 42 studied study VBN 39713 3088 43 the the DT 39713 3088 44 elephant elephant NN 39713 3088 45 except except IN 39713 3088 46 by by IN 39713 3088 47 means mean NNS 39713 3088 48 of of IN 39713 3088 49 the the DT 39713 3088 50 microscope microscope NN 39713 3088 51 think think VBP 39713 3088 52 himself -PRON- PRP 39713 3088 53 sufficiently sufficiently RB 39713 3088 54 acquainted acquaint VBD 39713 3088 55 with with IN 39713 3088 56 that that DT 39713 3088 57 animal animal NN 39713 3088 58 ? ? . 39713 3089 1 Well well UH 39713 3089 2 , , , 39713 3089 3 there there EX 39713 3089 4 is be VBZ 39713 3089 5 something something NN 39713 3089 6 analogous analogous JJ 39713 3089 7 to to IN 39713 3089 8 this this DT 39713 3089 9 in in IN 39713 3089 10 mathematics mathematic NNS 39713 3089 11 . . . 39713 3090 1 The the DT 39713 3090 2 logician logician JJ 39713 3090 3 cuts cut VBZ 39713 3090 4 up up RP 39713 3090 5 , , , 39713 3090 6 so so RB 39713 3090 7 to to TO 39713 3090 8 speak speak VB 39713 3090 9 , , , 39713 3090 10 each each DT 39713 3090 11 demonstration demonstration NN 39713 3090 12 into into IN 39713 3090 13 a a DT 39713 3090 14 very very RB 39713 3090 15 great great JJ 39713 3090 16 number number NN 39713 3090 17 of of IN 39713 3090 18 elementary elementary JJ 39713 3090 19 operations operation NNS 39713 3090 20 ; ; : 39713 3090 21 when when WRB 39713 3090 22 we -PRON- PRP 39713 3090 23 have have VBP 39713 3090 24 examined examine VBN 39713 3090 25 these these DT 39713 3090 26 operations operation NNS 39713 3090 27 one one CD 39713 3090 28 after after IN 39713 3090 29 the the DT 39713 3090 30 other other JJ 39713 3090 31 and and CC 39713 3090 32 ascertained ascertain VBD 39713 3090 33 that that IN 39713 3090 34 each each DT 39713 3090 35 is be VBZ 39713 3090 36 correct correct JJ 39713 3090 37 , , , 39713 3090 38 are be VBP 39713 3090 39 we -PRON- PRP 39713 3090 40 to to TO 39713 3090 41 think think VB 39713 3090 42 we -PRON- PRP 39713 3090 43 have have VBP 39713 3090 44 grasped grasp VBN 39713 3090 45 the the DT 39713 3090 46 real real JJ 39713 3090 47 meaning meaning NN 39713 3090 48 of of IN 39713 3090 49 the the DT 39713 3090 50 demonstration demonstration NN 39713 3090 51 ? ? . 39713 3091 1 Shall Shall MD 39713 3091 2 we -PRON- PRP 39713 3091 3 have have VBP 39713 3091 4 understood understand VBN 39713 3091 5 it -PRON- PRP 39713 3091 6 even even RB 39713 3091 7 when when WRB 39713 3091 8 , , , 39713 3091 9 by by IN 39713 3091 10 an an DT 39713 3091 11 effort effort NN 39713 3091 12 of of IN 39713 3091 13 memory memory NN 39713 3091 14 , , , 39713 3091 15 we -PRON- PRP 39713 3091 16 have have VBP 39713 3091 17 become become VBN 39713 3091 18 able able JJ 39713 3091 19 to to TO 39713 3091 20 repeat repeat VB 39713 3091 21 this this DT 39713 3091 22 proof proof NN 39713 3091 23 by by IN 39713 3091 24 reproducing reproduce VBG 39713 3091 25 all all PDT 39713 3091 26 these these DT 39713 3091 27 elementary elementary JJ 39713 3091 28 operations operation NNS 39713 3091 29 in in IN 39713 3091 30 just just RB 39713 3091 31 the the DT 39713 3091 32 order order NN 39713 3091 33 in in IN 39713 3091 34 which which WDT 39713 3091 35 the the DT 39713 3091 36 inventor inventor NN 39713 3091 37 had have VBD 39713 3091 38 arranged arrange VBN 39713 3091 39 them -PRON- PRP 39713 3091 40 ? ? . 39713 3092 1 Evidently evidently RB 39713 3092 2 not not RB 39713 3092 3 ; ; : 39713 3092 4 we -PRON- PRP 39713 3092 5 shall shall MD 39713 3092 6 not not RB 39713 3092 7 yet yet RB 39713 3092 8 possess possess VB 39713 3092 9 the the DT 39713 3092 10 entire entire JJ 39713 3092 11 reality reality NN 39713 3092 12 ; ; : 39713 3092 13 that that IN 39713 3092 14 I -PRON- PRP 39713 3092 15 know know VBP 39713 3092 16 not not RB 39713 3092 17 what what WP 39713 3092 18 , , , 39713 3092 19 which which WDT 39713 3092 20 makes make VBZ 39713 3092 21 the the DT 39713 3092 22 unity unity NN 39713 3092 23 of of IN 39713 3092 24 the the DT 39713 3092 25 demonstration demonstration NN 39713 3092 26 , , , 39713 3092 27 will will MD 39713 3092 28 completely completely RB 39713 3092 29 elude elude VB 39713 3092 30 us -PRON- PRP 39713 3092 31 . . . 39713 3093 1 Pure pure JJ 39713 3093 2 analysis analysis NN 39713 3093 3 puts put VBZ 39713 3093 4 at at IN 39713 3093 5 our -PRON- PRP$ 39713 3093 6 disposal disposal NN 39713 3093 7 a a DT 39713 3093 8 multitude multitude NN 39713 3093 9 of of IN 39713 3093 10 procedures procedure NNS 39713 3093 11 whose whose WP$ 39713 3093 12 infallibility infallibility NN 39713 3093 13 it -PRON- PRP 39713 3093 14 guarantees guarantee VBZ 39713 3093 15 ; ; : 39713 3093 16 it -PRON- PRP 39713 3093 17 opens open VBZ 39713 3093 18 to to IN 39713 3093 19 us -PRON- PRP 39713 3093 20 a a DT 39713 3093 21 thousand thousand CD 39713 3093 22 different different JJ 39713 3093 23 ways way NNS 39713 3093 24 on on IN 39713 3093 25 which which WDT 39713 3093 26 we -PRON- PRP 39713 3093 27 can can MD 39713 3093 28 embark embark VB 39713 3093 29 in in IN 39713 3093 30 all all DT 39713 3093 31 confidence confidence NN 39713 3093 32 ; ; : 39713 3093 33 we -PRON- PRP 39713 3093 34 are be VBP 39713 3093 35 assured assure VBN 39713 3093 36 of of IN 39713 3093 37 meeting meet VBG 39713 3093 38 there there RB 39713 3093 39 no no DT 39713 3093 40 obstacles obstacle NNS 39713 3093 41 ; ; : 39713 3093 42 but but CC 39713 3093 43 of of IN 39713 3093 44 all all PDT 39713 3093 45 these these DT 39713 3093 46 ways way NNS 39713 3093 47 , , , 39713 3093 48 which which WDT 39713 3093 49 will will MD 39713 3093 50 lead lead VB 39713 3093 51 us -PRON- PRP 39713 3093 52 most most RBS 39713 3093 53 promptly promptly RB 39713 3093 54 to to IN 39713 3093 55 our -PRON- PRP$ 39713 3093 56 goal goal NN 39713 3093 57 ? ? . 39713 3094 1 Who who WP 39713 3094 2 shall shall MD 39713 3094 3 tell tell VB 39713 3094 4 us -PRON- PRP 39713 3094 5 which which WDT 39713 3094 6 to to TO 39713 3094 7 choose choose VB 39713 3094 8 ? ? . 39713 3095 1 We -PRON- PRP 39713 3095 2 need need VBP 39713 3095 3 a a DT 39713 3095 4 faculty faculty NN 39713 3095 5 which which WDT 39713 3095 6 makes make VBZ 39713 3095 7 us -PRON- PRP 39713 3095 8 see see VB 39713 3095 9 the the DT 39713 3095 10 end end NN 39713 3095 11 from from IN 39713 3095 12 afar afar RB 39713 3095 13 , , , 39713 3095 14 and and CC 39713 3095 15 intuition intuition NN 39713 3095 16 is be VBZ 39713 3095 17 this this DT 39713 3095 18 faculty faculty NN 39713 3095 19 . . . 39713 3096 1 It -PRON- PRP 39713 3096 2 is be VBZ 39713 3096 3 necessary necessary JJ 39713 3096 4 to to IN 39713 3096 5 the the DT 39713 3096 6 explorer explorer NN 39713 3096 7 for for IN 39713 3096 8 choosing choose VBG 39713 3096 9 his -PRON- PRP$ 39713 3096 10 route route NN 39713 3096 11 ; ; : 39713 3096 12 it -PRON- PRP 39713 3096 13 is be VBZ 39713 3096 14 not not RB 39713 3096 15 less less JJR 39713 3096 16 so so RB 39713 3096 17 to to IN 39713 3096 18 the the DT 39713 3096 19 one one NN 39713 3096 20 following follow VBG 39713 3096 21 his -PRON- PRP$ 39713 3096 22 trail trail NN 39713 3096 23 who who WP 39713 3096 24 wants want VBZ 39713 3096 25 to to TO 39713 3096 26 know know VB 39713 3096 27 why why WRB 39713 3096 28 he -PRON- PRP 39713 3096 29 chose choose VBD 39713 3096 30 it -PRON- PRP 39713 3096 31 . . . 39713 3097 1 If if IN 39713 3097 2 you -PRON- PRP 39713 3097 3 are be VBP 39713 3097 4 present present JJ 39713 3097 5 at at IN 39713 3097 6 a a DT 39713 3097 7 game game NN 39713 3097 8 of of IN 39713 3097 9 chess chess NN 39713 3097 10 , , , 39713 3097 11 it -PRON- PRP 39713 3097 12 will will MD 39713 3097 13 not not RB 39713 3097 14 suffice suffice VB 39713 3097 15 , , , 39713 3097 16 for for IN 39713 3097 17 the the DT 39713 3097 18 understanding understanding NN 39713 3097 19 of of IN 39713 3097 20 the the DT 39713 3097 21 game game NN 39713 3097 22 , , , 39713 3097 23 to to TO 39713 3097 24 know know VB 39713 3097 25 the the DT 39713 3097 26 rules rule NNS 39713 3097 27 for for IN 39713 3097 28 moving move VBG 39713 3097 29 the the DT 39713 3097 30 pieces piece NNS 39713 3097 31 . . . 39713 3098 1 That that DT 39713 3098 2 will will MD 39713 3098 3 only only RB 39713 3098 4 enable enable VB 39713 3098 5 you -PRON- PRP 39713 3098 6 to to TO 39713 3098 7 recognize recognize VB 39713 3098 8 that that IN 39713 3098 9 each each DT 39713 3098 10 move move NN 39713 3098 11 has have VBZ 39713 3098 12 been be VBN 39713 3098 13 made make VBN 39713 3098 14 conformably conformably RB 39713 3098 15 to to IN 39713 3098 16 these these DT 39713 3098 17 rules rule NNS 39713 3098 18 , , , 39713 3098 19 and and CC 39713 3098 20 this this DT 39713 3098 21 knowledge knowledge NN 39713 3098 22 will will MD 39713 3098 23 truly truly RB 39713 3098 24 have have VB 39713 3098 25 very very RB 39713 3098 26 little little JJ 39713 3098 27 value value NN 39713 3098 28 . . . 39713 3099 1 Yet yet CC 39713 3099 2 this this DT 39713 3099 3 is be VBZ 39713 3099 4 what what WP 39713 3099 5 the the DT 39713 3099 6 reader reader NN 39713 3099 7 of of IN 39713 3099 8 a a DT 39713 3099 9 book book NN 39713 3099 10 on on IN 39713 3099 11 mathematics mathematic NNS 39713 3099 12 would would MD 39713 3099 13 do do VB 39713 3099 14 if if IN 39713 3099 15 he -PRON- PRP 39713 3099 16 were be VBD 39713 3099 17 a a DT 39713 3099 18 logician logician NN 39713 3099 19 only only RB 39713 3099 20 . . . 39713 3100 1 To to TO 39713 3100 2 understand understand VB 39713 3100 3 the the DT 39713 3100 4 game game NN 39713 3100 5 is be VBZ 39713 3100 6 wholly wholly RB 39713 3100 7 another another DT 39713 3100 8 matter matter NN 39713 3100 9 ; ; : 39713 3100 10 it -PRON- PRP 39713 3100 11 is be VBZ 39713 3100 12 to to TO 39713 3100 13 know know VB 39713 3100 14 why why WRB 39713 3100 15 the the DT 39713 3100 16 player player NN 39713 3100 17 moves move VBZ 39713 3100 18 this this DT 39713 3100 19 piece piece NN 39713 3100 20 rather rather RB 39713 3100 21 than than IN 39713 3100 22 that that DT 39713 3100 23 other other JJ 39713 3100 24 which which WDT 39713 3100 25 he -PRON- PRP 39713 3100 26 could could MD 39713 3100 27 have have VB 39713 3100 28 moved move VBN 39713 3100 29 without without IN 39713 3100 30 breaking break VBG 39713 3100 31 the the DT 39713 3100 32 rules rule NNS 39713 3100 33 of of IN 39713 3100 34 the the DT 39713 3100 35 game game NN 39713 3100 36 . . . 39713 3101 1 It -PRON- PRP 39713 3101 2 is be VBZ 39713 3101 3 to to TO 39713 3101 4 perceive perceive VB 39713 3101 5 the the DT 39713 3101 6 inward inward JJ 39713 3101 7 reason reason NN 39713 3101 8 which which WDT 39713 3101 9 makes make VBZ 39713 3101 10 of of IN 39713 3101 11 this this DT 39713 3101 12 series series NN 39713 3101 13 of of IN 39713 3101 14 successive successive JJ 39713 3101 15 moves move NNS 39713 3101 16 a a DT 39713 3101 17 sort sort NN 39713 3101 18 of of IN 39713 3101 19 organized organize VBN 39713 3101 20 whole whole NN 39713 3101 21 . . . 39713 3102 1 This this DT 39713 3102 2 faculty faculty NN 39713 3102 3 is be VBZ 39713 3102 4 still still RB 39713 3102 5 more more RBR 39713 3102 6 necessary necessary JJ 39713 3102 7 for for IN 39713 3102 8 the the DT 39713 3102 9 player player NN 39713 3102 10 himself -PRON- PRP 39713 3102 11 , , , 39713 3102 12 that that RB 39713 3102 13 is is RB 39713 3102 14 , , , 39713 3102 15 for for IN 39713 3102 16 the the DT 39713 3102 17 inventor inventor NN 39713 3102 18 . . . 39713 3103 1 Let let VB 39713 3103 2 us -PRON- PRP 39713 3103 3 drop drop VB 39713 3103 4 this this DT 39713 3103 5 comparison comparison NN 39713 3103 6 and and CC 39713 3103 7 return return VB 39713 3103 8 to to IN 39713 3103 9 mathematics mathematic NNS 39713 3103 10 . . . 39713 3104 1 For for IN 39713 3104 2 example example NN 39713 3104 3 , , , 39713 3104 4 see see VB 39713 3104 5 what what WP 39713 3104 6 has have VBZ 39713 3104 7 happened happen VBN 39713 3104 8 to to IN 39713 3104 9 the the DT 39713 3104 10 idea idea NN 39713 3104 11 of of IN 39713 3104 12 continuous continuous JJ 39713 3104 13 function function NN 39713 3104 14 . . . 39713 3105 1 At at IN 39713 3105 2 the the DT 39713 3105 3 outset outset NN 39713 3105 4 this this DT 39713 3105 5 was be VBD 39713 3105 6 only only RB 39713 3105 7 a a DT 39713 3105 8 sensible sensible JJ 39713 3105 9 image image NN 39713 3105 10 , , , 39713 3105 11 for for IN 39713 3105 12 example example NN 39713 3105 13 , , , 39713 3105 14 that that DT 39713 3105 15 of of IN 39713 3105 16 a a DT 39713 3105 17 continuous continuous JJ 39713 3105 18 mark mark NN 39713 3105 19 traced trace VBN 39713 3105 20 by by IN 39713 3105 21 the the DT 39713 3105 22 chalk chalk NN 39713 3105 23 on on IN 39713 3105 24 a a DT 39713 3105 25 blackboard blackboard NN 39713 3105 26 . . . 39713 3106 1 Then then RB 39713 3106 2 it -PRON- PRP 39713 3106 3 became become VBD 39713 3106 4 little little JJ 39713 3106 5 by by IN 39713 3106 6 little little RB 39713 3106 7 more more RBR 39713 3106 8 refined refined JJ 39713 3106 9 ; ; : 39713 3106 10 ere ere NNP 39713 3106 11 long long JJ 39713 3106 12 it -PRON- PRP 39713 3106 13 was be VBD 39713 3106 14 used use VBN 39713 3106 15 to to TO 39713 3106 16 construct construct VB 39713 3106 17 a a DT 39713 3106 18 complicated complicated JJ 39713 3106 19 system system NN 39713 3106 20 of of IN 39713 3106 21 inequalities inequality NNS 39713 3106 22 , , , 39713 3106 23 which which WDT 39713 3106 24 reproduced reproduce VBD 39713 3106 25 , , , 39713 3106 26 so so RB 39713 3106 27 to to TO 39713 3106 28 speak speak VB 39713 3106 29 , , , 39713 3106 30 all all PDT 39713 3106 31 the the DT 39713 3106 32 lines line NNS 39713 3106 33 of of IN 39713 3106 34 the the DT 39713 3106 35 original original JJ 39713 3106 36 image image NN 39713 3106 37 ; ; : 39713 3106 38 this this DT 39713 3106 39 construction construction NN 39713 3106 40 finished finish VBD 39713 3106 41 , , , 39713 3106 42 the the DT 39713 3106 43 centering centering NN 39713 3106 44 of of IN 39713 3106 45 the the DT 39713 3106 46 arch arch NN 39713 3106 47 , , , 39713 3106 48 so so RB 39713 3106 49 to to TO 39713 3106 50 say say VB 39713 3106 51 , , , 39713 3106 52 was be VBD 39713 3106 53 removed remove VBN 39713 3106 54 , , , 39713 3106 55 that that DT 39713 3106 56 crude crude JJ 39713 3106 57 representation representation NN 39713 3106 58 which which WDT 39713 3106 59 had have VBD 39713 3106 60 temporarily temporarily RB 39713 3106 61 served serve VBN 39713 3106 62 as as IN 39713 3106 63 support support NN 39713 3106 64 and and CC 39713 3106 65 which which WDT 39713 3106 66 was be VBD 39713 3106 67 afterward afterward RB 39713 3106 68 useless useless JJ 39713 3106 69 was be VBD 39713 3106 70 rejected reject VBN 39713 3106 71 ; ; : 39713 3106 72 there there EX 39713 3106 73 remained remain VBD 39713 3106 74 only only RB 39713 3106 75 the the DT 39713 3106 76 construction construction NN 39713 3106 77 itself -PRON- PRP 39713 3106 78 , , , 39713 3106 79 irreproachable irreproachable JJ 39713 3106 80 in in IN 39713 3106 81 the the DT 39713 3106 82 eyes eye NNS 39713 3106 83 of of IN 39713 3106 84 the the DT 39713 3106 85 logician logician NNP 39713 3106 86 . . . 39713 3107 1 And and CC 39713 3107 2 yet yet RB 39713 3107 3 if if IN 39713 3107 4 the the DT 39713 3107 5 primitive primitive JJ 39713 3107 6 image image NN 39713 3107 7 had have VBD 39713 3107 8 totally totally RB 39713 3107 9 disappeared disappear VBN 39713 3107 10 from from IN 39713 3107 11 our -PRON- PRP$ 39713 3107 12 recollection recollection NN 39713 3107 13 , , , 39713 3107 14 how how WRB 39713 3107 15 could could MD 39713 3107 16 we -PRON- PRP 39713 3107 17 divine divine VB 39713 3107 18 by by IN 39713 3107 19 what what WDT 39713 3107 20 caprice caprice NN 39713 3107 21 all all PDT 39713 3107 22 these these DT 39713 3107 23 inequalities inequality NNS 39713 3107 24 were be VBD 39713 3107 25 erected erect VBN 39713 3107 26 in in IN 39713 3107 27 this this DT 39713 3107 28 fashion fashion NN 39713 3107 29 one one CD 39713 3107 30 upon upon IN 39713 3107 31 another another DT 39713 3107 32 ? ? . 39713 3108 1 Perhaps perhaps RB 39713 3108 2 you -PRON- PRP 39713 3108 3 think think VBP 39713 3108 4 I -PRON- PRP 39713 3108 5 use use VBP 39713 3108 6 too too RB 39713 3108 7 many many JJ 39713 3108 8 comparisons comparison NNS 39713 3108 9 ; ; : 39713 3108 10 yet yet CC 39713 3108 11 pardon pardon NNP 39713 3108 12 still still RB 39713 3108 13 another another DT 39713 3108 14 . . . 39713 3109 1 You -PRON- PRP 39713 3109 2 have have VBP 39713 3109 3 doubtless doubtless RB 39713 3109 4 seen see VBN 39713 3109 5 those those DT 39713 3109 6 delicate delicate JJ 39713 3109 7 assemblages assemblage NNS 39713 3109 8 of of IN 39713 3109 9 silicious silicious JJ 39713 3109 10 needles needle NNS 39713 3109 11 which which WDT 39713 3109 12 form form VBP 39713 3109 13 the the DT 39713 3109 14 skeleton skeleton NN 39713 3109 15 of of IN 39713 3109 16 certain certain JJ 39713 3109 17 sponges sponge NNS 39713 3109 18 . . . 39713 3110 1 When when WRB 39713 3110 2 the the DT 39713 3110 3 organic organic JJ 39713 3110 4 matter matter NN 39713 3110 5 has have VBZ 39713 3110 6 disappeared disappear VBN 39713 3110 7 , , , 39713 3110 8 there there EX 39713 3110 9 remains remain VBZ 39713 3110 10 only only RB 39713 3110 11 a a DT 39713 3110 12 frail frail NN 39713 3110 13 and and CC 39713 3110 14 elegant elegant JJ 39713 3110 15 lace lace NN 39713 3110 16 - - HYPH 39713 3110 17 work work NN 39713 3110 18 . . . 39713 3111 1 True true JJ 39713 3111 2 , , , 39713 3111 3 nothing nothing NN 39713 3111 4 is be VBZ 39713 3111 5 there there RB 39713 3111 6 except except IN 39713 3111 7 silica silica NN 39713 3111 8 , , , 39713 3111 9 but but CC 39713 3111 10 what what WP 39713 3111 11 is be VBZ 39713 3111 12 interesting interesting JJ 39713 3111 13 is be VBZ 39713 3111 14 the the DT 39713 3111 15 form form NN 39713 3111 16 this this DT 39713 3111 17 silica silica NN 39713 3111 18 has have VBZ 39713 3111 19 taken take VBN 39713 3111 20 , , , 39713 3111 21 and and CC 39713 3111 22 we -PRON- PRP 39713 3111 23 could could MD 39713 3111 24 not not RB 39713 3111 25 understand understand VB 39713 3111 26 it -PRON- PRP 39713 3111 27 if if IN 39713 3111 28 we -PRON- PRP 39713 3111 29 did do VBD 39713 3111 30 not not RB 39713 3111 31 know know VB 39713 3111 32 the the DT 39713 3111 33 living live VBG 39713 3111 34 sponge sponge NN 39713 3111 35 which which WDT 39713 3111 36 has have VBZ 39713 3111 37 given give VBN 39713 3111 38 it -PRON- PRP 39713 3111 39 precisely precisely RB 39713 3111 40 this this DT 39713 3111 41 form form NN 39713 3111 42 . . . 39713 3112 1 Thus thus RB 39713 3112 2 it -PRON- PRP 39713 3112 3 is be VBZ 39713 3112 4 that that IN 39713 3112 5 the the DT 39713 3112 6 old old JJ 39713 3112 7 intuitive intuitive JJ 39713 3112 8 notions notion NNS 39713 3112 9 of of IN 39713 3112 10 our -PRON- PRP$ 39713 3112 11 fathers father NNS 39713 3112 12 , , , 39713 3112 13 even even RB 39713 3112 14 when when WRB 39713 3112 15 we -PRON- PRP 39713 3112 16 have have VBP 39713 3112 17 abandoned abandon VBN 39713 3112 18 them -PRON- PRP 39713 3112 19 , , , 39713 3112 20 still still RB 39713 3112 21 imprint imprint VBP 39713 3112 22 their -PRON- PRP$ 39713 3112 23 form form NN 39713 3112 24 upon upon IN 39713 3112 25 the the DT 39713 3112 26 logical logical JJ 39713 3112 27 constructions construction NNS 39713 3112 28 we -PRON- PRP 39713 3112 29 have have VBP 39713 3112 30 put put VBN 39713 3112 31 in in IN 39713 3112 32 their -PRON- PRP$ 39713 3112 33 place place NN 39713 3112 34 . . . 39713 3113 1 This this DT 39713 3113 2 view view NN 39713 3113 3 of of IN 39713 3113 4 the the DT 39713 3113 5 aggregate aggregate NN 39713 3113 6 is be VBZ 39713 3113 7 necessary necessary JJ 39713 3113 8 for for IN 39713 3113 9 the the DT 39713 3113 10 inventor inventor NN 39713 3113 11 ; ; : 39713 3113 12 it -PRON- PRP 39713 3113 13 is be VBZ 39713 3113 14 equally equally RB 39713 3113 15 necessary necessary JJ 39713 3113 16 for for IN 39713 3113 17 whoever whoever WP 39713 3113 18 wishes wish VBZ 39713 3113 19 really really RB 39713 3113 20 to to TO 39713 3113 21 comprehend comprehend VB 39713 3113 22 the the DT 39713 3113 23 inventor inventor NN 39713 3113 24 . . . 39713 3114 1 Can Can MD 39713 3114 2 logic logic NN 39713 3114 3 give give VB 39713 3114 4 it -PRON- PRP 39713 3114 5 to to IN 39713 3114 6 us -PRON- PRP 39713 3114 7 ? ? . 39713 3115 1 No no UH 39713 3115 2 ; ; : 39713 3115 3 the the DT 39713 3115 4 name name NN 39713 3115 5 mathematicians mathematician NNS 39713 3115 6 give give VBP 39713 3115 7 it -PRON- PRP 39713 3115 8 would would MD 39713 3115 9 suffice suffice VB 39713 3115 10 to to TO 39713 3115 11 prove prove VB 39713 3115 12 this this DT 39713 3115 13 . . . 39713 3116 1 In in IN 39713 3116 2 mathematics mathematic NNS 39713 3116 3 logic logic NN 39713 3116 4 is be VBZ 39713 3116 5 called call VBN 39713 3116 6 _ _ NNP 39713 3116 7 analysis analysis NN 39713 3116 8 _ _ NNP 39713 3116 9 and and CC 39713 3116 10 analysis analysis NN 39713 3116 11 means mean VBZ 39713 3116 12 _ _ NNP 39713 3116 13 division division NN 39713 3116 14 _ _ NNP 39713 3116 15 , , , 39713 3116 16 _ _ NNP 39713 3116 17 dissection dissection NN 39713 3116 18 _ _ NNP 39713 3116 19 . . . 39713 3117 1 It -PRON- PRP 39713 3117 2 can can MD 39713 3117 3 have have VB 39713 3117 4 , , , 39713 3117 5 therefore therefore RB 39713 3117 6 , , , 39713 3117 7 no no DT 39713 3117 8 tool tool NN 39713 3117 9 other other JJ 39713 3117 10 than than IN 39713 3117 11 the the DT 39713 3117 12 scalpel scalpel NNP 39713 3117 13 and and CC 39713 3117 14 the the DT 39713 3117 15 microscope microscope NN 39713 3117 16 . . . 39713 3118 1 Thus thus RB 39713 3118 2 logic logic NN 39713 3118 3 and and CC 39713 3118 4 intuition intuition NN 39713 3118 5 have have VBP 39713 3118 6 each each DT 39713 3118 7 their -PRON- PRP$ 39713 3118 8 necessary necessary JJ 39713 3118 9 rôle rôle NNS 39713 3118 10 . . . 39713 3119 1 Each each DT 39713 3119 2 is be VBZ 39713 3119 3 indispensable indispensable JJ 39713 3119 4 . . . 39713 3120 1 Logic logic NN 39713 3120 2 , , , 39713 3120 3 which which WDT 39713 3120 4 alone alone RB 39713 3120 5 can can MD 39713 3120 6 give give VB 39713 3120 7 certainty certainty NN 39713 3120 8 , , , 39713 3120 9 is be VBZ 39713 3120 10 the the DT 39713 3120 11 instrument instrument NN 39713 3120 12 of of IN 39713 3120 13 demonstration demonstration NN 39713 3120 14 ; ; , 39713 3120 15 intuition intuition NN 39713 3120 16 is be VBZ 39713 3120 17 the the DT 39713 3120 18 instrument instrument NN 39713 3120 19 of of IN 39713 3120 20 invention invention NN 39713 3120 21 . . . 39713 3121 1 VI VI NNP 39713 3121 2 But but CC 39713 3121 3 at at IN 39713 3121 4 the the DT 39713 3121 5 moment moment NN 39713 3121 6 of of IN 39713 3121 7 formulating formulate VBG 39713 3121 8 this this DT 39713 3121 9 conclusion conclusion NN 39713 3121 10 I -PRON- PRP 39713 3121 11 am be VBP 39713 3121 12 seized seize VBN 39713 3121 13 with with IN 39713 3121 14 scruples scruple NNS 39713 3121 15 . . . 39713 3122 1 At at IN 39713 3122 2 the the DT 39713 3122 3 outset outset NN 39713 3122 4 I -PRON- PRP 39713 3122 5 distinguished distinguish VBD 39713 3122 6 two two CD 39713 3122 7 kinds kind NNS 39713 3122 8 of of IN 39713 3122 9 mathematical mathematical JJ 39713 3122 10 minds mind NNS 39713 3122 11 , , , 39713 3122 12 the the DT 39713 3122 13 one one CD 39713 3122 14 sort sort NN 39713 3122 15 logicians logician NNS 39713 3122 16 and and CC 39713 3122 17 analysts analyst NNS 39713 3122 18 , , , 39713 3122 19 the the DT 39713 3122 20 others other NNS 39713 3122 21 intuitionalists intuitionalist NNS 39713 3122 22 and and CC 39713 3122 23 geometers geometer NNS 39713 3122 24 . . . 39713 3123 1 Well well UH 39713 3123 2 , , , 39713 3123 3 the the DT 39713 3123 4 analysts analyst NNS 39713 3123 5 also also RB 39713 3123 6 have have VBP 39713 3123 7 been be VBN 39713 3123 8 inventors inventor NNS 39713 3123 9 . . . 39713 3124 1 The the DT 39713 3124 2 names name NNS 39713 3124 3 I -PRON- PRP 39713 3124 4 have have VBP 39713 3124 5 just just RB 39713 3124 6 cited cite VBN 39713 3124 7 make make VB 39713 3124 8 my -PRON- PRP$ 39713 3124 9 insistence insistence NN 39713 3124 10 on on IN 39713 3124 11 this this DT 39713 3124 12 unnecessary unnecessary NN 39713 3124 13 . . . 39713 3125 1 Here here RB 39713 3125 2 is be VBZ 39713 3125 3 a a DT 39713 3125 4 contradiction contradiction NN 39713 3125 5 , , , 39713 3125 6 at at IN 39713 3125 7 least least JJS 39713 3125 8 apparently apparently RB 39713 3125 9 , , , 39713 3125 10 which which WDT 39713 3125 11 needs need VBZ 39713 3125 12 explanation explanation NN 39713 3125 13 . . . 39713 3126 1 And and CC 39713 3126 2 first first RB 39713 3126 3 , , , 39713 3126 4 do do VBP 39713 3126 5 you -PRON- PRP 39713 3126 6 think think VB 39713 3126 7 these these DT 39713 3126 8 logicians logician NNS 39713 3126 9 have have VBP 39713 3126 10 always always RB 39713 3126 11 proceeded proceed VBN 39713 3126 12 from from IN 39713 3126 13 the the DT 39713 3126 14 general general NN 39713 3126 15 to to IN 39713 3126 16 the the DT 39713 3126 17 particular particular JJ 39713 3126 18 , , , 39713 3126 19 as as IN 39713 3126 20 the the DT 39713 3126 21 rules rule NNS 39713 3126 22 of of IN 39713 3126 23 formal formal JJ 39713 3126 24 logic logic NN 39713 3126 25 would would MD 39713 3126 26 seem seem VB 39713 3126 27 to to TO 39713 3126 28 require require VB 39713 3126 29 of of IN 39713 3126 30 them -PRON- PRP 39713 3126 31 ? ? . 39713 3127 1 Not not RB 39713 3127 2 thus thus RB 39713 3127 3 could could MD 39713 3127 4 they -PRON- PRP 39713 3127 5 have have VB 39713 3127 6 extended extend VBN 39713 3127 7 the the DT 39713 3127 8 boundaries boundary NNS 39713 3127 9 of of IN 39713 3127 10 science science NN 39713 3127 11 ; ; , 39713 3127 12 scientific scientific JJ 39713 3127 13 conquest conquest NN 39713 3127 14 is be VBZ 39713 3127 15 to to TO 39713 3127 16 be be VB 39713 3127 17 made make VBN 39713 3127 18 only only RB 39713 3127 19 by by IN 39713 3127 20 generalization generalization NN 39713 3127 21 . . . 39713 3128 1 In in IN 39713 3128 2 one one CD 39713 3128 3 of of IN 39713 3128 4 the the DT 39713 3128 5 chapters chapter NNS 39713 3128 6 of of IN 39713 3128 7 ' ' `` 39713 3128 8 Science Science NNP 39713 3128 9 and and CC 39713 3128 10 Hypothesis Hypothesis NNP 39713 3128 11 , , , 39713 3128 12 ' ' '' 39713 3128 13 I -PRON- PRP 39713 3128 14 have have VBP 39713 3128 15 had have VBN 39713 3128 16 occasion occasion NN 39713 3128 17 to to TO 39713 3128 18 study study VB 39713 3128 19 the the DT 39713 3128 20 nature nature NN 39713 3128 21 of of IN 39713 3128 22 mathematical mathematical JJ 39713 3128 23 reasoning reasoning NN 39713 3128 24 , , , 39713 3128 25 and and CC 39713 3128 26 I -PRON- PRP 39713 3128 27 have have VBP 39713 3128 28 shown show VBN 39713 3128 29 how how WRB 39713 3128 30 this this DT 39713 3128 31 reasoning reasoning NN 39713 3128 32 , , , 39713 3128 33 without without IN 39713 3128 34 ceasing cease VBG 39713 3128 35 to to TO 39713 3128 36 be be VB 39713 3128 37 absolutely absolutely RB 39713 3128 38 rigorous rigorous JJ 39713 3128 39 , , , 39713 3128 40 could could MD 39713 3128 41 lift lift VB 39713 3128 42 us -PRON- PRP 39713 3128 43 from from IN 39713 3128 44 the the DT 39713 3128 45 particular particular JJ 39713 3128 46 to to IN 39713 3128 47 the the DT 39713 3128 48 general general NN 39713 3128 49 by by IN 39713 3128 50 a a DT 39713 3128 51 procedure procedure NN 39713 3128 52 I -PRON- PRP 39713 3128 53 have have VBP 39713 3128 54 called call VBN 39713 3128 55 _ _ NNP 39713 3128 56 mathematical mathematical JJ 39713 3128 57 induction induction NN 39713 3128 58 _ _ NNP 39713 3128 59 . . . 39713 3129 1 It -PRON- PRP 39713 3129 2 is be VBZ 39713 3129 3 by by IN 39713 3129 4 this this DT 39713 3129 5 procedure procedure NN 39713 3129 6 that that WDT 39713 3129 7 the the DT 39713 3129 8 analysts analyst NNS 39713 3129 9 have have VBP 39713 3129 10 made make VBN 39713 3129 11 science science NN 39713 3129 12 progress progress NN 39713 3129 13 , , , 39713 3129 14 and and CC 39713 3129 15 if if IN 39713 3129 16 we -PRON- PRP 39713 3129 17 examine examine VBP 39713 3129 18 the the DT 39713 3129 19 detail detail NN 39713 3129 20 itself -PRON- PRP 39713 3129 21 of of IN 39713 3129 22 their -PRON- PRP$ 39713 3129 23 demonstrations demonstration NNS 39713 3129 24 , , , 39713 3129 25 we -PRON- PRP 39713 3129 26 shall shall MD 39713 3129 27 find find VB 39713 3129 28 it -PRON- PRP 39713 3129 29 there there RB 39713 3129 30 at at IN 39713 3129 31 each each DT 39713 3129 32 instant instant NN 39713 3129 33 beside beside IN 39713 3129 34 the the DT 39713 3129 35 classic classic JJ 39713 3129 36 syllogism syllogism NN 39713 3129 37 of of IN 39713 3129 38 Aristotle Aristotle NNP 39713 3129 39 . . . 39713 3130 1 We -PRON- PRP 39713 3130 2 , , , 39713 3130 3 therefore therefore RB 39713 3130 4 , , , 39713 3130 5 see see VB 39713 3130 6 already already RB 39713 3130 7 that that IN 39713 3130 8 the the DT 39713 3130 9 analysts analyst NNS 39713 3130 10 are be VBP 39713 3130 11 not not RB 39713 3130 12 simply simply RB 39713 3130 13 makers maker NNS 39713 3130 14 of of IN 39713 3130 15 syllogisms syllogism NNS 39713 3130 16 after after IN 39713 3130 17 the the DT 39713 3130 18 fashion fashion NN 39713 3130 19 of of IN 39713 3130 20 the the DT 39713 3130 21 scholastics scholastic NNS 39713 3130 22 . . . 39713 3131 1 Besides besides RB 39713 3131 2 , , , 39713 3131 3 do do VBP 39713 3131 4 you -PRON- PRP 39713 3131 5 think think VB 39713 3131 6 they -PRON- PRP 39713 3131 7 have have VBP 39713 3131 8 always always RB 39713 3131 9 marched march VBN 39713 3131 10 step step NN 39713 3131 11 by by IN 39713 3131 12 step step NN 39713 3131 13 with with IN 39713 3131 14 no no DT 39713 3131 15 vision vision NN 39713 3131 16 of of IN 39713 3131 17 the the DT 39713 3131 18 goal goal NN 39713 3131 19 they -PRON- PRP 39713 3131 20 wished wish VBD 39713 3131 21 to to TO 39713 3131 22 attain attain VB 39713 3131 23 ? ? . 39713 3132 1 They -PRON- PRP 39713 3132 2 must must MD 39713 3132 3 have have VB 39713 3132 4 divined divine VBN 39713 3132 5 the the DT 39713 3132 6 way way NN 39713 3132 7 leading lead VBG 39713 3132 8 thither thither NN 39713 3132 9 , , , 39713 3132 10 and and CC 39713 3132 11 for for IN 39713 3132 12 that that DT 39713 3132 13 they -PRON- PRP 39713 3132 14 needed need VBD 39713 3132 15 a a DT 39713 3132 16 guide guide NN 39713 3132 17 . . . 39713 3133 1 This this DT 39713 3133 2 guide guide NN 39713 3133 3 is be VBZ 39713 3133 4 , , , 39713 3133 5 first first JJ 39713 3133 6 , , , 39713 3133 7 analogy analogy NN 39713 3133 8 . . . 39713 3134 1 For for IN 39713 3134 2 example example NN 39713 3134 3 , , , 39713 3134 4 one one CD 39713 3134 5 of of IN 39713 3134 6 the the DT 39713 3134 7 methods method NNS 39713 3134 8 of of IN 39713 3134 9 demonstration demonstration NN 39713 3134 10 dear dear JJ 39713 3134 11 to to IN 39713 3134 12 analysts analyst NNS 39713 3134 13 is be VBZ 39713 3134 14 that that WDT 39713 3134 15 founded found VBN 39713 3134 16 on on IN 39713 3134 17 the the DT 39713 3134 18 employment employment NN 39713 3134 19 of of IN 39713 3134 20 dominant dominant JJ 39713 3134 21 functions function NNS 39713 3134 22 . . . 39713 3135 1 We -PRON- PRP 39713 3135 2 know know VBP 39713 3135 3 it -PRON- PRP 39713 3135 4 has have VBZ 39713 3135 5 already already RB 39713 3135 6 served serve VBN 39713 3135 7 to to TO 39713 3135 8 solve solve VB 39713 3135 9 a a DT 39713 3135 10 multitude multitude NN 39713 3135 11 of of IN 39713 3135 12 problems problem NNS 39713 3135 13 ; ; : 39713 3135 14 in in IN 39713 3135 15 what what WP 39713 3135 16 consists consist VBZ 39713 3135 17 then then RB 39713 3135 18 the the DT 39713 3135 19 rôle rôle NN 39713 3135 20 of of IN 39713 3135 21 the the DT 39713 3135 22 inventor inventor NN 39713 3135 23 who who WP 39713 3135 24 wishes wish VBZ 39713 3135 25 to to TO 39713 3135 26 apply apply VB 39713 3135 27 it -PRON- PRP 39713 3135 28 to to IN 39713 3135 29 a a DT 39713 3135 30 new new JJ 39713 3135 31 problem problem NN 39713 3135 32 ? ? . 39713 3136 1 At at IN 39713 3136 2 the the DT 39713 3136 3 outset outset NN 39713 3136 4 he -PRON- PRP 39713 3136 5 must must MD 39713 3136 6 recognize recognize VB 39713 3136 7 the the DT 39713 3136 8 analogy analogy NN 39713 3136 9 of of IN 39713 3136 10 this this DT 39713 3136 11 question question NN 39713 3136 12 with with IN 39713 3136 13 those those DT 39713 3136 14 which which WDT 39713 3136 15 have have VBP 39713 3136 16 already already RB 39713 3136 17 been be VBN 39713 3136 18 solved solve VBN 39713 3136 19 by by IN 39713 3136 20 this this DT 39713 3136 21 method method NN 39713 3136 22 ; ; : 39713 3136 23 then then RB 39713 3136 24 he -PRON- PRP 39713 3136 25 must must MD 39713 3136 26 perceive perceive VB 39713 3136 27 in in IN 39713 3136 28 what what WDT 39713 3136 29 way way NN 39713 3136 30 this this DT 39713 3136 31 new new JJ 39713 3136 32 question question NN 39713 3136 33 differs differ VBZ 39713 3136 34 from from IN 39713 3136 35 the the DT 39713 3136 36 others other NNS 39713 3136 37 , , , 39713 3136 38 and and CC 39713 3136 39 thence thence NN 39713 3136 40 deduce deduce VBP 39713 3136 41 the the DT 39713 3136 42 modifications modification NNS 39713 3136 43 necessary necessary JJ 39713 3136 44 to to TO 39713 3136 45 apply apply VB 39713 3136 46 to to IN 39713 3136 47 the the DT 39713 3136 48 method method NN 39713 3136 49 . . . 39713 3137 1 But but CC 39713 3137 2 how how WRB 39713 3137 3 does do VBZ 39713 3137 4 one one CD 39713 3137 5 perceive perceive VB 39713 3137 6 these these DT 39713 3137 7 analogies analogy NNS 39713 3137 8 and and CC 39713 3137 9 these these DT 39713 3137 10 differences difference NNS 39713 3137 11 ? ? . 39713 3138 1 In in IN 39713 3138 2 the the DT 39713 3138 3 example example NN 39713 3138 4 just just RB 39713 3138 5 cited cite VBD 39713 3138 6 they -PRON- PRP 39713 3138 7 are be VBP 39713 3138 8 almost almost RB 39713 3138 9 always always RB 39713 3138 10 evident evident JJ 39713 3138 11 , , , 39713 3138 12 but but CC 39713 3138 13 I -PRON- PRP 39713 3138 14 could could MD 39713 3138 15 have have VB 39713 3138 16 found find VBN 39713 3138 17 others other NNS 39713 3138 18 where where WRB 39713 3138 19 they -PRON- PRP 39713 3138 20 would would MD 39713 3138 21 have have VB 39713 3138 22 been be VBN 39713 3138 23 much much RB 39713 3138 24 more more RBR 39713 3138 25 deeply deeply RB 39713 3138 26 hidden hidden JJ 39713 3138 27 ; ; : 39713 3138 28 often often RB 39713 3138 29 a a DT 39713 3138 30 very very RB 39713 3138 31 uncommon uncommon JJ 39713 3138 32 penetration penetration NN 39713 3138 33 is be VBZ 39713 3138 34 necessary necessary JJ 39713 3138 35 for for IN 39713 3138 36 their -PRON- PRP$ 39713 3138 37 discovery discovery NN 39713 3138 38 . . . 39713 3139 1 The the DT 39713 3139 2 analysts analyst NNS 39713 3139 3 , , , 39713 3139 4 not not RB 39713 3139 5 to to TO 39713 3139 6 let let VB 39713 3139 7 these these DT 39713 3139 8 hidden hide VBN 39713 3139 9 analogies analogy NNS 39713 3139 10 escape escape VBP 39713 3139 11 them -PRON- PRP 39713 3139 12 , , , 39713 3139 13 that that RB 39713 3139 14 is is RB 39713 3139 15 , , , 39713 3139 16 in in IN 39713 3139 17 order order NN 39713 3139 18 to to TO 39713 3139 19 be be VB 39713 3139 20 inventors inventor NNS 39713 3139 21 , , , 39713 3139 22 must must MD 39713 3139 23 , , , 39713 3139 24 without without IN 39713 3139 25 the the DT 39713 3139 26 aid aid NN 39713 3139 27 of of IN 39713 3139 28 the the DT 39713 3139 29 senses sense NNS 39713 3139 30 and and CC 39713 3139 31 imagination imagination NN 39713 3139 32 , , , 39713 3139 33 have have VBP 39713 3139 34 a a DT 39713 3139 35 direct direct JJ 39713 3139 36 sense sense NN 39713 3139 37 of of IN 39713 3139 38 what what WP 39713 3139 39 constitutes constitute VBZ 39713 3139 40 the the DT 39713 3139 41 unity unity NN 39713 3139 42 of of IN 39713 3139 43 a a DT 39713 3139 44 piece piece NN 39713 3139 45 of of IN 39713 3139 46 reasoning reasoning NN 39713 3139 47 , , , 39713 3139 48 of of IN 39713 3139 49 what what WP 39713 3139 50 makes make VBZ 39713 3139 51 , , , 39713 3139 52 so so RB 39713 3139 53 to to TO 39713 3139 54 speak speak VB 39713 3139 55 , , , 39713 3139 56 its -PRON- PRP$ 39713 3139 57 soul soul NN 39713 3139 58 and and CC 39713 3139 59 inmost inmost JJ 39713 3139 60 life life NN 39713 3139 61 . . . 39713 3140 1 When when WRB 39713 3140 2 one one CD 39713 3140 3 talked talk VBD 39713 3140 4 with with IN 39713 3140 5 M. M. NNP 39713 3140 6 Hermite Hermite NNP 39713 3140 7 , , , 39713 3140 8 he -PRON- PRP 39713 3140 9 never never RB 39713 3140 10 evoked evoke VBD 39713 3140 11 a a DT 39713 3140 12 sensuous sensuous JJ 39713 3140 13 image image NN 39713 3140 14 , , , 39713 3140 15 and and CC 39713 3140 16 yet yet RB 39713 3140 17 you -PRON- PRP 39713 3140 18 soon soon RB 39713 3140 19 perceived perceive VBD 39713 3140 20 that that IN 39713 3140 21 the the DT 39713 3140 22 most most RBS 39713 3140 23 abstract abstract JJ 39713 3140 24 entities entity NNS 39713 3140 25 were be VBD 39713 3140 26 for for IN 39713 3140 27 him -PRON- PRP 39713 3140 28 like like IN 39713 3140 29 living live VBG 39713 3140 30 beings being NNS 39713 3140 31 . . . 39713 3141 1 He -PRON- PRP 39713 3141 2 did do VBD 39713 3141 3 not not RB 39713 3141 4 see see VB 39713 3141 5 them -PRON- PRP 39713 3141 6 , , , 39713 3141 7 but but CC 39713 3141 8 he -PRON- PRP 39713 3141 9 perceived perceive VBD 39713 3141 10 that that IN 39713 3141 11 they -PRON- PRP 39713 3141 12 are be VBP 39713 3141 13 not not RB 39713 3141 14 an an DT 39713 3141 15 artificial artificial JJ 39713 3141 16 assemblage assemblage NN 39713 3141 17 and and CC 39713 3141 18 that that IN 39713 3141 19 they -PRON- PRP 39713 3141 20 have have VBP 39713 3141 21 some some DT 39713 3141 22 principle principle NN 39713 3141 23 of of IN 39713 3141 24 internal internal JJ 39713 3141 25 unity unity NN 39713 3141 26 . . . 39713 3142 1 But but CC 39713 3142 2 , , , 39713 3142 3 one one PRP 39713 3142 4 will will MD 39713 3142 5 say say VB 39713 3142 6 , , , 39713 3142 7 that that IN 39713 3142 8 still still RB 39713 3142 9 is be VBZ 39713 3142 10 intuition intuition NN 39713 3142 11 . . . 39713 3143 1 Shall Shall MD 39713 3143 2 we -PRON- PRP 39713 3143 3 conclude conclude VB 39713 3143 4 that that IN 39713 3143 5 the the DT 39713 3143 6 distinction distinction NN 39713 3143 7 made make VBN 39713 3143 8 at at IN 39713 3143 9 the the DT 39713 3143 10 outset outset NN 39713 3143 11 was be VBD 39713 3143 12 only only RB 39713 3143 13 apparent apparent JJ 39713 3143 14 , , , 39713 3143 15 that that IN 39713 3143 16 there there EX 39713 3143 17 is be VBZ 39713 3143 18 only only RB 39713 3143 19 one one CD 39713 3143 20 sort sort NN 39713 3143 21 of of IN 39713 3143 22 mind mind NN 39713 3143 23 and and CC 39713 3143 24 that that IN 39713 3143 25 all all PDT 39713 3143 26 the the DT 39713 3143 27 mathematicians mathematician NNS 39713 3143 28 are be VBP 39713 3143 29 intuitionalists intuitionalist NNS 39713 3143 30 , , , 39713 3143 31 at at IN 39713 3143 32 least least JJS 39713 3143 33 those those DT 39713 3143 34 who who WP 39713 3143 35 are be VBP 39713 3143 36 capable capable JJ 39713 3143 37 of of IN 39713 3143 38 inventing invent VBG 39713 3143 39 ? ? . 39713 3144 1 No no UH 39713 3144 2 , , , 39713 3144 3 our -PRON- PRP$ 39713 3144 4 distinction distinction NN 39713 3144 5 corresponds correspond VBZ 39713 3144 6 to to IN 39713 3144 7 something something NN 39713 3144 8 real real JJ 39713 3144 9 . . . 39713 3145 1 I -PRON- PRP 39713 3145 2 have have VBP 39713 3145 3 said say VBD 39713 3145 4 above above IN 39713 3145 5 that that IN 39713 3145 6 there there EX 39713 3145 7 are be VBP 39713 3145 8 many many JJ 39713 3145 9 kinds kind NNS 39713 3145 10 of of IN 39713 3145 11 intuition intuition NN 39713 3145 12 . . . 39713 3146 1 I -PRON- PRP 39713 3146 2 have have VBP 39713 3146 3 said say VBN 39713 3146 4 how how WRB 39713 3146 5 much much JJ 39713 3146 6 the the DT 39713 3146 7 intuition intuition NN 39713 3146 8 of of IN 39713 3146 9 pure pure JJ 39713 3146 10 number number NN 39713 3146 11 , , , 39713 3146 12 whence whence NN 39713 3146 13 comes come VBZ 39713 3146 14 rigorous rigorous JJ 39713 3146 15 mathematical mathematical JJ 39713 3146 16 induction induction NN 39713 3146 17 , , , 39713 3146 18 differs differ VBZ 39713 3146 19 from from IN 39713 3146 20 sensible sensible JJ 39713 3146 21 intuition intuition NN 39713 3146 22 to to TO 39713 3146 23 which which WDT 39713 3146 24 the the DT 39713 3146 25 imagination imagination NN 39713 3146 26 , , , 39713 3146 27 properly properly RB 39713 3146 28 so so RB 39713 3146 29 called call VBN 39713 3146 30 , , , 39713 3146 31 is be VBZ 39713 3146 32 the the DT 39713 3146 33 principal principal JJ 39713 3146 34 contributor contributor NN 39713 3146 35 . . . 39713 3147 1 Is be VBZ 39713 3147 2 the the DT 39713 3147 3 abyss abyss NN 39713 3147 4 which which WDT 39713 3147 5 separates separate VBZ 39713 3147 6 them -PRON- PRP 39713 3147 7 less less RBR 39713 3147 8 profound profound JJ 39713 3147 9 than than IN 39713 3147 10 it -PRON- PRP 39713 3147 11 at at IN 39713 3147 12 first first RB 39713 3147 13 appeared appear VBN 39713 3147 14 ? ? . 39713 3148 1 Could Could MD 39713 3148 2 we -PRON- PRP 39713 3148 3 recognize recognize VB 39713 3148 4 with with IN 39713 3148 5 a a DT 39713 3148 6 little little JJ 39713 3148 7 attention attention NN 39713 3148 8 that that WDT 39713 3148 9 this this DT 39713 3148 10 pure pure JJ 39713 3148 11 intuition intuition NN 39713 3148 12 itself -PRON- PRP 39713 3148 13 could could MD 39713 3148 14 not not RB 39713 3148 15 do do VB 39713 3148 16 without without IN 39713 3148 17 the the DT 39713 3148 18 aid aid NN 39713 3148 19 of of IN 39713 3148 20 the the DT 39713 3148 21 senses sense NNS 39713 3148 22 ? ? . 39713 3149 1 This this DT 39713 3149 2 is be VBZ 39713 3149 3 the the DT 39713 3149 4 affair affair NN 39713 3149 5 of of IN 39713 3149 6 the the DT 39713 3149 7 psychologist psychologist NN 39713 3149 8 and and CC 39713 3149 9 the the DT 39713 3149 10 metaphysician metaphysician NN 39713 3149 11 and and CC 39713 3149 12 I -PRON- PRP 39713 3149 13 shall shall MD 39713 3149 14 not not RB 39713 3149 15 discuss discuss VB 39713 3149 16 the the DT 39713 3149 17 question question NN 39713 3149 18 . . . 39713 3150 1 But but CC 39713 3150 2 the the DT 39713 3150 3 thing thing NN 39713 3150 4 's be VBZ 39713 3150 5 being be VBG 39713 3150 6 doubtful doubtful JJ 39713 3150 7 is be VBZ 39713 3150 8 enough enough JJ 39713 3150 9 to to TO 39713 3150 10 justify justify VB 39713 3150 11 me -PRON- PRP 39713 3150 12 in in IN 39713 3150 13 recognizing recognize VBG 39713 3150 14 and and CC 39713 3150 15 affirming affirm VBG 39713 3150 16 an an DT 39713 3150 17 essential essential JJ 39713 3150 18 difference difference NN 39713 3150 19 between between IN 39713 3150 20 the the DT 39713 3150 21 two two CD 39713 3150 22 kinds kind NNS 39713 3150 23 of of IN 39713 3150 24 intuition intuition NN 39713 3150 25 ; ; : 39713 3150 26 they -PRON- PRP 39713 3150 27 have have VBP 39713 3150 28 not not RB 39713 3150 29 the the DT 39713 3150 30 same same JJ 39713 3150 31 object object NN 39713 3150 32 and and CC 39713 3150 33 seem seem VBP 39713 3150 34 to to TO 39713 3150 35 call call VB 39713 3150 36 into into IN 39713 3150 37 play play NN 39713 3150 38 two two CD 39713 3150 39 different different JJ 39713 3150 40 faculties faculty NNS 39713 3150 41 of of IN 39713 3150 42 our -PRON- PRP$ 39713 3150 43 soul soul NN 39713 3150 44 ; ; : 39713 3150 45 one one PRP 39713 3150 46 would would MD 39713 3150 47 think think VB 39713 3150 48 of of IN 39713 3150 49 two two CD 39713 3150 50 search search NN 39713 3150 51 - - HYPH 39713 3150 52 lights light NNS 39713 3150 53 directed direct VBD 39713 3150 54 upon upon IN 39713 3150 55 two two CD 39713 3150 56 worlds world NNS 39713 3150 57 strangers stranger NNS 39713 3150 58 to to IN 39713 3150 59 one one CD 39713 3150 60 another another DT 39713 3150 61 . . . 39713 3151 1 It -PRON- PRP 39713 3151 2 is be VBZ 39713 3151 3 the the DT 39713 3151 4 intuition intuition NN 39713 3151 5 of of IN 39713 3151 6 pure pure JJ 39713 3151 7 number number NN 39713 3151 8 , , , 39713 3151 9 that that DT 39713 3151 10 of of IN 39713 3151 11 pure pure JJ 39713 3151 12 logical logical JJ 39713 3151 13 forms form NNS 39713 3151 14 , , , 39713 3151 15 which which WDT 39713 3151 16 illumines illumine VBZ 39713 3151 17 and and CC 39713 3151 18 directs direct VBZ 39713 3151 19 those those DT 39713 3151 20 we -PRON- PRP 39713 3151 21 have have VBP 39713 3151 22 called call VBN 39713 3151 23 _ _ NNP 39713 3151 24 analysts analyst NNS 39713 3151 25 _ _ NNP 39713 3151 26 . . . 39713 3152 1 This this DT 39713 3152 2 it -PRON- PRP 39713 3152 3 is be VBZ 39713 3152 4 which which WDT 39713 3152 5 enables enable VBZ 39713 3152 6 them -PRON- PRP 39713 3152 7 not not RB 39713 3152 8 alone alone JJ 39713 3152 9 to to TO 39713 3152 10 demonstrate demonstrate VB 39713 3152 11 , , , 39713 3152 12 but but CC 39713 3152 13 also also RB 39713 3152 14 to to TO 39713 3152 15 invent invent VB 39713 3152 16 . . . 39713 3153 1 By by IN 39713 3153 2 it -PRON- PRP 39713 3153 3 they -PRON- PRP 39713 3153 4 perceive perceive VBP 39713 3153 5 at at IN 39713 3153 6 a a DT 39713 3153 7 glance glance NN 39713 3153 8 the the DT 39713 3153 9 general general JJ 39713 3153 10 plan plan NN 39713 3153 11 of of IN 39713 3153 12 a a DT 39713 3153 13 logical logical JJ 39713 3153 14 edifice edifice NN 39713 3153 15 , , , 39713 3153 16 and and CC 39713 3153 17 that that IN 39713 3153 18 too too RB 39713 3153 19 without without IN 39713 3153 20 the the DT 39713 3153 21 senses sense NNS 39713 3153 22 appearing appear VBG 39713 3153 23 to to TO 39713 3153 24 intervene intervene VB 39713 3153 25 . . . 39713 3154 1 In in IN 39713 3154 2 rejecting reject VBG 39713 3154 3 the the DT 39713 3154 4 aid aid NN 39713 3154 5 of of IN 39713 3154 6 the the DT 39713 3154 7 imagination imagination NN 39713 3154 8 , , , 39713 3154 9 which which WDT 39713 3154 10 , , , 39713 3154 11 as as IN 39713 3154 12 we -PRON- PRP 39713 3154 13 have have VBP 39713 3154 14 seen see VBN 39713 3154 15 , , , 39713 3154 16 is be VBZ 39713 3154 17 not not RB 39713 3154 18 always always RB 39713 3154 19 infallible infallible JJ 39713 3154 20 , , , 39713 3154 21 they -PRON- PRP 39713 3154 22 can can MD 39713 3154 23 advance advance VB 39713 3154 24 without without IN 39713 3154 25 fear fear NN 39713 3154 26 of of IN 39713 3154 27 deceiving deceive VBG 39713 3154 28 themselves -PRON- PRP 39713 3154 29 . . . 39713 3155 1 Happy happy JJ 39713 3155 2 , , , 39713 3155 3 therefore therefore RB 39713 3155 4 , , , 39713 3155 5 are be VBP 39713 3155 6 those those DT 39713 3155 7 who who WP 39713 3155 8 can can MD 39713 3155 9 do do VB 39713 3155 10 without without IN 39713 3155 11 this this DT 39713 3155 12 aid aid NN 39713 3155 13 ! ! . 39713 3156 1 We -PRON- PRP 39713 3156 2 must must MD 39713 3156 3 admire admire VB 39713 3156 4 them -PRON- PRP 39713 3156 5 ; ; : 39713 3156 6 but but CC 39713 3156 7 how how WRB 39713 3156 8 rare rare JJ 39713 3156 9 they -PRON- PRP 39713 3156 10 are be VBP 39713 3156 11 ! ! . 39713 3157 1 Among among IN 39713 3157 2 the the DT 39713 3157 3 analysts analyst NNS 39713 3157 4 there there EX 39713 3157 5 will will MD 39713 3157 6 then then RB 39713 3157 7 be be VB 39713 3157 8 inventors inventor NNS 39713 3157 9 , , , 39713 3157 10 but but CC 39713 3157 11 they -PRON- PRP 39713 3157 12 will will MD 39713 3157 13 be be VB 39713 3157 14 few few JJ 39713 3157 15 . . . 39713 3158 1 The the DT 39713 3158 2 majority majority NN 39713 3158 3 of of IN 39713 3158 4 us -PRON- PRP 39713 3158 5 , , , 39713 3158 6 if if IN 39713 3158 7 we -PRON- PRP 39713 3158 8 wished wish VBD 39713 3158 9 to to TO 39713 3158 10 see see VB 39713 3158 11 afar afar RB 39713 3158 12 by by IN 39713 3158 13 pure pure JJ 39713 3158 14 intuition intuition NN 39713 3158 15 alone alone RB 39713 3158 16 , , , 39713 3158 17 would would MD 39713 3158 18 soon soon RB 39713 3158 19 feel feel VB 39713 3158 20 ourselves -PRON- PRP 39713 3158 21 seized seize VBN 39713 3158 22 with with IN 39713 3158 23 vertigo vertigo NNS 39713 3158 24 . . . 39713 3159 1 Our -PRON- PRP$ 39713 3159 2 weakness weakness NN 39713 3159 3 has have VBZ 39713 3159 4 need need NN 39713 3159 5 of of IN 39713 3159 6 a a DT 39713 3159 7 staff staff NN 39713 3159 8 more more RBR 39713 3159 9 solid solid JJ 39713 3159 10 , , , 39713 3159 11 and and CC 39713 3159 12 , , , 39713 3159 13 despite despite IN 39713 3159 14 the the DT 39713 3159 15 exceptions exception NNS 39713 3159 16 of of IN 39713 3159 17 which which WDT 39713 3159 18 we -PRON- PRP 39713 3159 19 have have VBP 39713 3159 20 just just RB 39713 3159 21 spoken speak VBN 39713 3159 22 , , , 39713 3159 23 it -PRON- PRP 39713 3159 24 is be VBZ 39713 3159 25 none none NN 39713 3159 26 the the DT 39713 3159 27 less less RBR 39713 3159 28 true true JJ 39713 3159 29 that that IN 39713 3159 30 sensible sensible JJ 39713 3159 31 intuition intuition NN 39713 3159 32 is be VBZ 39713 3159 33 in in IN 39713 3159 34 mathematics mathematic NNS 39713 3159 35 the the DT 39713 3159 36 most most RBS 39713 3159 37 usual usual JJ 39713 3159 38 instrument instrument NN 39713 3159 39 of of IN 39713 3159 40 invention invention NN 39713 3159 41 . . . 39713 3160 1 Apropos Apropos NNP 39713 3160 2 of of IN 39713 3160 3 these these DT 39713 3160 4 reflections reflection NNS 39713 3160 5 , , , 39713 3160 6 a a DT 39713 3160 7 question question NN 39713 3160 8 comes come VBZ 39713 3160 9 up up RP 39713 3160 10 that that IN 39713 3160 11 I -PRON- PRP 39713 3160 12 have have VBP 39713 3160 13 not not RB 39713 3160 14 the the DT 39713 3160 15 time time NN 39713 3160 16 either either RB 39713 3160 17 to to TO 39713 3160 18 solve solve VB 39713 3160 19 or or CC 39713 3160 20 even even RB 39713 3160 21 to to TO 39713 3160 22 enunciate enunciate VB 39713 3160 23 with with IN 39713 3160 24 the the DT 39713 3160 25 developments development NNS 39713 3160 26 it -PRON- PRP 39713 3160 27 would would MD 39713 3160 28 admit admit VB 39713 3160 29 of of IN 39713 3160 30 . . . 39713 3161 1 Is be VBZ 39713 3161 2 there there EX 39713 3161 3 room room NN 39713 3161 4 for for IN 39713 3161 5 a a DT 39713 3161 6 new new JJ 39713 3161 7 distinction distinction NN 39713 3161 8 , , , 39713 3161 9 for for IN 39713 3161 10 distinguishing distinguish VBG 39713 3161 11 among among IN 39713 3161 12 the the DT 39713 3161 13 analysts analyst NNS 39713 3161 14 those those DT 39713 3161 15 who who WP 39713 3161 16 above above IN 39713 3161 17 all all DT 39713 3161 18 use use VBP 39713 3161 19 pure pure JJ 39713 3161 20 intuition intuition NN 39713 3161 21 and and CC 39713 3161 22 those those DT 39713 3161 23 who who WP 39713 3161 24 are be VBP 39713 3161 25 first first JJ 39713 3161 26 of of IN 39713 3161 27 all all DT 39713 3161 28 preoccupied preoccupy VBN 39713 3161 29 with with IN 39713 3161 30 formal formal JJ 39713 3161 31 logic logic NN 39713 3161 32 ? ? . 39713 3162 1 M. M. NNP 39713 3162 2 Hermite Hermite NNP 39713 3162 3 , , , 39713 3162 4 for for IN 39713 3162 5 example example NN 39713 3162 6 , , , 39713 3162 7 whom whom WP 39713 3162 8 I -PRON- PRP 39713 3162 9 have have VBP 39713 3162 10 just just RB 39713 3162 11 cited cite VBN 39713 3162 12 , , , 39713 3162 13 can can MD 39713 3162 14 not not RB 39713 3162 15 be be VB 39713 3162 16 classed class VBN 39713 3162 17 among among IN 39713 3162 18 the the DT 39713 3162 19 geometers geometer NNS 39713 3162 20 who who WP 39713 3162 21 make make VBP 39713 3162 22 use use NN 39713 3162 23 of of IN 39713 3162 24 the the DT 39713 3162 25 sensible sensible JJ 39713 3162 26 intuition intuition NN 39713 3162 27 ; ; : 39713 3162 28 but but CC 39713 3162 29 neither neither DT 39713 3162 30 is be VBZ 39713 3162 31 he -PRON- PRP 39713 3162 32 a a DT 39713 3162 33 logician logician NN 39713 3162 34 , , , 39713 3162 35 properly properly RB 39713 3162 36 so so RB 39713 3162 37 called call VBN 39713 3162 38 . . . 39713 3163 1 He -PRON- PRP 39713 3163 2 does do VBZ 39713 3163 3 not not RB 39713 3163 4 conceal conceal VB 39713 3163 5 his -PRON- PRP$ 39713 3163 6 aversion aversion NN 39713 3163 7 to to TO 39713 3163 8 purely purely RB 39713 3163 9 deductive deductive VB 39713 3163 10 procedures procedure NNS 39713 3163 11 which which WDT 39713 3163 12 start start VBP 39713 3163 13 from from IN 39713 3163 14 the the DT 39713 3163 15 general general JJ 39713 3163 16 and and CC 39713 3163 17 end end VB 39713 3163 18 in in IN 39713 3163 19 the the DT 39713 3163 20 particular particular NN 39713 3163 21 . . . 39713 3164 1 CHAPTER CHAPTER NNP 39713 3164 2 II II NNP 39713 3164 3 THE the DT 39713 3164 4 MEASURE measure NN 39713 3164 5 OF of IN 39713 3164 6 TIME time NN 39713 3164 7 I -PRON- PRP 39713 3164 8 So so RB 39713 3164 9 long long RB 39713 3164 10 as as IN 39713 3164 11 we -PRON- PRP 39713 3164 12 do do VBP 39713 3164 13 not not RB 39713 3164 14 go go VB 39713 3164 15 outside outside IN 39713 3164 16 the the DT 39713 3164 17 domain domain NN 39713 3164 18 of of IN 39713 3164 19 consciousness consciousness NN 39713 3164 20 , , , 39713 3164 21 the the DT 39713 3164 22 notion notion NN 39713 3164 23 of of IN 39713 3164 24 time time NN 39713 3164 25 is be VBZ 39713 3164 26 relatively relatively RB 39713 3164 27 clear clear JJ 39713 3164 28 . . . 39713 3165 1 Not not RB 39713 3165 2 only only RB 39713 3165 3 do do VBP 39713 3165 4 we -PRON- PRP 39713 3165 5 distinguish distinguish VB 39713 3165 6 without without IN 39713 3165 7 difficulty difficulty NN 39713 3165 8 present present JJ 39713 3165 9 sensation sensation NN 39713 3165 10 from from IN 39713 3165 11 the the DT 39713 3165 12 remembrance remembrance NN 39713 3165 13 of of IN 39713 3165 14 past past JJ 39713 3165 15 sensations sensation NNS 39713 3165 16 or or CC 39713 3165 17 the the DT 39713 3165 18 anticipation anticipation NN 39713 3165 19 of of IN 39713 3165 20 future future JJ 39713 3165 21 sensations sensation NNS 39713 3165 22 , , , 39713 3165 23 but but CC 39713 3165 24 we -PRON- PRP 39713 3165 25 know know VBP 39713 3165 26 perfectly perfectly RB 39713 3165 27 well well RB 39713 3165 28 what what WP 39713 3165 29 we -PRON- PRP 39713 3165 30 mean mean VBP 39713 3165 31 when when WRB 39713 3165 32 we -PRON- PRP 39713 3165 33 say say VBP 39713 3165 34 that that DT 39713 3165 35 of of IN 39713 3165 36 two two CD 39713 3165 37 conscious conscious JJ 39713 3165 38 phenomena phenomenon NNS 39713 3165 39 which which WDT 39713 3165 40 we -PRON- PRP 39713 3165 41 remember remember VBP 39713 3165 42 , , , 39713 3165 43 one one CD 39713 3165 44 was be VBD 39713 3165 45 anterior anterior JJ 39713 3165 46 to to IN 39713 3165 47 the the DT 39713 3165 48 other other JJ 39713 3165 49 ; ; : 39713 3165 50 or or CC 39713 3165 51 that that IN 39713 3165 52 , , , 39713 3165 53 of of IN 39713 3165 54 two two CD 39713 3165 55 foreseen foreseen JJ 39713 3165 56 conscious conscious JJ 39713 3165 57 phenomena phenomenon NNS 39713 3165 58 , , , 39713 3165 59 one one CD 39713 3165 60 will will MD 39713 3165 61 be be VB 39713 3165 62 anterior anterior JJ 39713 3165 63 to to IN 39713 3165 64 the the DT 39713 3165 65 other other JJ 39713 3165 66 . . . 39713 3166 1 When when WRB 39713 3166 2 we -PRON- PRP 39713 3166 3 say say VBP 39713 3166 4 that that IN 39713 3166 5 two two CD 39713 3166 6 conscious conscious JJ 39713 3166 7 facts fact NNS 39713 3166 8 are be VBP 39713 3166 9 simultaneous simultaneous JJ 39713 3166 10 , , , 39713 3166 11 we -PRON- PRP 39713 3166 12 mean mean VBP 39713 3166 13 that that IN 39713 3166 14 they -PRON- PRP 39713 3166 15 profoundly profoundly RB 39713 3166 16 interpenetrate interpenetrate VBP 39713 3166 17 , , , 39713 3166 18 so so IN 39713 3166 19 that that IN 39713 3166 20 analysis analysis NN 39713 3166 21 can can MD 39713 3166 22 not not RB 39713 3166 23 separate separate VB 39713 3166 24 them -PRON- PRP 39713 3166 25 without without IN 39713 3166 26 mutilating mutilate VBG 39713 3166 27 them -PRON- PRP 39713 3166 28 . . . 39713 3167 1 The the DT 39713 3167 2 order order NN 39713 3167 3 in in IN 39713 3167 4 which which WDT 39713 3167 5 we -PRON- PRP 39713 3167 6 arrange arrange VBP 39713 3167 7 conscious conscious JJ 39713 3167 8 phenomena phenomenon NNS 39713 3167 9 does do VBZ 39713 3167 10 not not RB 39713 3167 11 admit admit VB 39713 3167 12 of of IN 39713 3167 13 any any DT 39713 3167 14 arbitrariness arbitrariness NN 39713 3167 15 . . . 39713 3168 1 It -PRON- PRP 39713 3168 2 is be VBZ 39713 3168 3 imposed impose VBN 39713 3168 4 upon upon IN 39713 3168 5 us -PRON- PRP 39713 3168 6 and and CC 39713 3168 7 of of IN 39713 3168 8 it -PRON- PRP 39713 3168 9 we -PRON- PRP 39713 3168 10 can can MD 39713 3168 11 change change VB 39713 3168 12 nothing nothing NN 39713 3168 13 . . . 39713 3169 1 I -PRON- PRP 39713 3169 2 have have VBP 39713 3169 3 only only RB 39713 3169 4 a a DT 39713 3169 5 single single JJ 39713 3169 6 observation observation NN 39713 3169 7 to to TO 39713 3169 8 add add VB 39713 3169 9 . . . 39713 3170 1 For for IN 39713 3170 2 an an DT 39713 3170 3 aggregate aggregate NN 39713 3170 4 of of IN 39713 3170 5 sensations sensation NNS 39713 3170 6 to to TO 39713 3170 7 have have VB 39713 3170 8 become become VBN 39713 3170 9 a a DT 39713 3170 10 remembrance remembrance NN 39713 3170 11 capable capable JJ 39713 3170 12 of of IN 39713 3170 13 classification classification NN 39713 3170 14 in in IN 39713 3170 15 time time NN 39713 3170 16 , , , 39713 3170 17 it -PRON- PRP 39713 3170 18 must must MD 39713 3170 19 have have VB 39713 3170 20 ceased cease VBN 39713 3170 21 to to TO 39713 3170 22 be be VB 39713 3170 23 actual actual JJ 39713 3170 24 , , , 39713 3170 25 we -PRON- PRP 39713 3170 26 must must MD 39713 3170 27 have have VB 39713 3170 28 lost lose VBN 39713 3170 29 the the DT 39713 3170 30 sense sense NN 39713 3170 31 of of IN 39713 3170 32 its -PRON- PRP$ 39713 3170 33 infinite infinite JJ 39713 3170 34 complexity complexity NN 39713 3170 35 , , , 39713 3170 36 otherwise otherwise RB 39713 3170 37 it -PRON- PRP 39713 3170 38 would would MD 39713 3170 39 have have VB 39713 3170 40 remained remain VBN 39713 3170 41 present present JJ 39713 3170 42 . . . 39713 3171 1 It -PRON- PRP 39713 3171 2 must must MD 39713 3171 3 , , , 39713 3171 4 so so RB 39713 3171 5 to to TO 39713 3171 6 speak speak VB 39713 3171 7 , , , 39713 3171 8 have have VBP 39713 3171 9 crystallized crystallize VBN 39713 3171 10 around around IN 39713 3171 11 a a DT 39713 3171 12 center center NN 39713 3171 13 of of IN 39713 3171 14 associations association NNS 39713 3171 15 of of IN 39713 3171 16 ideas idea NNS 39713 3171 17 which which WDT 39713 3171 18 will will MD 39713 3171 19 be be VB 39713 3171 20 a a DT 39713 3171 21 sort sort NN 39713 3171 22 of of IN 39713 3171 23 label label NN 39713 3171 24 . . . 39713 3172 1 It -PRON- PRP 39713 3172 2 is be VBZ 39713 3172 3 only only RB 39713 3172 4 when when WRB 39713 3172 5 they -PRON- PRP 39713 3172 6 thus thus RB 39713 3172 7 have have VBP 39713 3172 8 lost lose VBN 39713 3172 9 all all DT 39713 3172 10 life life NN 39713 3172 11 that that WDT 39713 3172 12 we -PRON- PRP 39713 3172 13 can can MD 39713 3172 14 classify classify VB 39713 3172 15 our -PRON- PRP$ 39713 3172 16 memories memory NNS 39713 3172 17 in in IN 39713 3172 18 time time NN 39713 3172 19 as as IN 39713 3172 20 a a DT 39713 3172 21 botanist botanist NN 39713 3172 22 arranges arrange NNS 39713 3172 23 dried dry VBD 39713 3172 24 flowers flower NNS 39713 3172 25 in in IN 39713 3172 26 his -PRON- PRP$ 39713 3172 27 herbarium herbarium NN 39713 3172 28 . . . 39713 3173 1 But but CC 39713 3173 2 these these DT 39713 3173 3 labels label NNS 39713 3173 4 can can MD 39713 3173 5 only only RB 39713 3173 6 be be VB 39713 3173 7 finite finite JJ 39713 3173 8 in in IN 39713 3173 9 number number NN 39713 3173 10 . . . 39713 3174 1 On on IN 39713 3174 2 that that DT 39713 3174 3 score score NN 39713 3174 4 , , , 39713 3174 5 psychologic psychologic JJ 39713 3174 6 time time NN 39713 3174 7 should should MD 39713 3174 8 be be VB 39713 3174 9 discontinuous discontinuous JJ 39713 3174 10 . . . 39713 3175 1 Whence whence NN 39713 3175 2 comes come VBZ 39713 3175 3 the the DT 39713 3175 4 feeling feeling NN 39713 3175 5 that that IN 39713 3175 6 between between IN 39713 3175 7 any any DT 39713 3175 8 two two CD 39713 3175 9 instants instant NNS 39713 3175 10 there there EX 39713 3175 11 are be VBP 39713 3175 12 others other NNS 39713 3175 13 ? ? . 39713 3176 1 We -PRON- PRP 39713 3176 2 arrange arrange VBP 39713 3176 3 our -PRON- PRP$ 39713 3176 4 recollections recollection NNS 39713 3176 5 in in IN 39713 3176 6 time time NN 39713 3176 7 , , , 39713 3176 8 but but CC 39713 3176 9 we -PRON- PRP 39713 3176 10 know know VBP 39713 3176 11 that that IN 39713 3176 12 there there EX 39713 3176 13 remain remain VBP 39713 3176 14 empty empty JJ 39713 3176 15 compartments compartment NNS 39713 3176 16 . . . 39713 3177 1 How how WRB 39713 3177 2 could could MD 39713 3177 3 that that DT 39713 3177 4 be be VB 39713 3177 5 , , , 39713 3177 6 if if IN 39713 3177 7 time time NN 39713 3177 8 were be VBD 39713 3177 9 not not RB 39713 3177 10 a a DT 39713 3177 11 form form NN 39713 3177 12 pre pre JJ 39713 3177 13 - - NN 39713 3177 14 existent existent NN 39713 3177 15 in in IN 39713 3177 16 our -PRON- PRP$ 39713 3177 17 minds mind NNS 39713 3177 18 ? ? . 39713 3178 1 How how WRB 39713 3178 2 could could MD 39713 3178 3 we -PRON- PRP 39713 3178 4 know know VB 39713 3178 5 there there EX 39713 3178 6 were be VBD 39713 3178 7 empty empty JJ 39713 3178 8 compartments compartment NNS 39713 3178 9 , , , 39713 3178 10 if if IN 39713 3178 11 these these DT 39713 3178 12 compartments compartment NNS 39713 3178 13 were be VBD 39713 3178 14 revealed reveal VBN 39713 3178 15 to to IN 39713 3178 16 us -PRON- PRP 39713 3178 17 only only RB 39713 3178 18 by by IN 39713 3178 19 their -PRON- PRP$ 39713 3178 20 content content NN 39713 3178 21 ? ? . 39713 3179 1 II II NNP 39713 3179 2 But but CC 39713 3179 3 that that DT 39713 3179 4 is be VBZ 39713 3179 5 not not RB 39713 3179 6 all all DT 39713 3179 7 ; ; : 39713 3179 8 into into IN 39713 3179 9 this this DT 39713 3179 10 form form NN 39713 3179 11 we -PRON- PRP 39713 3179 12 wish wish VBP 39713 3179 13 to to TO 39713 3179 14 put put VB 39713 3179 15 not not RB 39713 3179 16 only only RB 39713 3179 17 the the DT 39713 3179 18 phenomena phenomenon NNS 39713 3179 19 of of IN 39713 3179 20 our -PRON- PRP$ 39713 3179 21 own own JJ 39713 3179 22 consciousness consciousness NN 39713 3179 23 , , , 39713 3179 24 but but CC 39713 3179 25 those those DT 39713 3179 26 of of IN 39713 3179 27 which which WDT 39713 3179 28 other other JJ 39713 3179 29 consciousnesses consciousness NNS 39713 3179 30 are be VBP 39713 3179 31 the the DT 39713 3179 32 theater theater NN 39713 3179 33 . . . 39713 3180 1 But but CC 39713 3180 2 more more RBR 39713 3180 3 , , , 39713 3180 4 we -PRON- PRP 39713 3180 5 wish wish VBP 39713 3180 6 to to TO 39713 3180 7 put put VB 39713 3180 8 there there RB 39713 3180 9 physical physical JJ 39713 3180 10 facts fact NNS 39713 3180 11 , , , 39713 3180 12 these these DT 39713 3180 13 I -PRON- PRP 39713 3180 14 know know VBP 39713 3180 15 not not RB 39713 3180 16 what what WP 39713 3180 17 with with IN 39713 3180 18 which which WDT 39713 3180 19 we -PRON- PRP 39713 3180 20 people people NNS 39713 3180 21 space space VBP 39713 3180 22 and and CC 39713 3180 23 which which WDT 39713 3180 24 no no DT 39713 3180 25 consciousness consciousness NN 39713 3180 26 sees see VBZ 39713 3180 27 directly directly RB 39713 3180 28 . . . 39713 3181 1 This this DT 39713 3181 2 is be VBZ 39713 3181 3 necessary necessary JJ 39713 3181 4 because because IN 39713 3181 5 without without IN 39713 3181 6 it -PRON- PRP 39713 3181 7 science science NN 39713 3181 8 could could MD 39713 3181 9 not not RB 39713 3181 10 exist exist VB 39713 3181 11 . . . 39713 3182 1 In in IN 39713 3182 2 a a DT 39713 3182 3 word word NN 39713 3182 4 , , , 39713 3182 5 psychologic psychologic JJ 39713 3182 6 time time NN 39713 3182 7 is be VBZ 39713 3182 8 given give VBN 39713 3182 9 to to IN 39713 3182 10 us -PRON- PRP 39713 3182 11 and and CC 39713 3182 12 must must MD 39713 3182 13 needs needs VB 39713 3182 14 create create VB 39713 3182 15 scientific scientific JJ 39713 3182 16 and and CC 39713 3182 17 physical physical JJ 39713 3182 18 time time NN 39713 3182 19 . . . 39713 3183 1 There there RB 39713 3183 2 the the DT 39713 3183 3 difficulty difficulty NN 39713 3183 4 begins begin VBZ 39713 3183 5 , , , 39713 3183 6 or or CC 39713 3183 7 rather rather RB 39713 3183 8 the the DT 39713 3183 9 difficulties difficulty NNS 39713 3183 10 , , , 39713 3183 11 for for CC 39713 3183 12 there there EX 39713 3183 13 are be VBP 39713 3183 14 two two CD 39713 3183 15 . . . 39713 3184 1 Think think VB 39713 3184 2 of of IN 39713 3184 3 two two CD 39713 3184 4 consciousnesses consciousness NNS 39713 3184 5 , , , 39713 3184 6 which which WDT 39713 3184 7 are be VBP 39713 3184 8 like like IN 39713 3184 9 two two CD 39713 3184 10 worlds world NNS 39713 3184 11 impenetrable impenetrable JJ 39713 3184 12 one one CD 39713 3184 13 to to IN 39713 3184 14 the the DT 39713 3184 15 other other JJ 39713 3184 16 . . . 39713 3185 1 By by IN 39713 3185 2 what what WDT 39713 3185 3 right right UH 39713 3185 4 do do VBP 39713 3185 5 we -PRON- PRP 39713 3185 6 strive strive VB 39713 3185 7 to to TO 39713 3185 8 put put VB 39713 3185 9 them -PRON- PRP 39713 3185 10 into into IN 39713 3185 11 the the DT 39713 3185 12 same same JJ 39713 3185 13 mold mold NN 39713 3185 14 , , , 39713 3185 15 to to TO 39713 3185 16 measure measure VB 39713 3185 17 them -PRON- PRP 39713 3185 18 by by IN 39713 3185 19 the the DT 39713 3185 20 same same JJ 39713 3185 21 standard standard NN 39713 3185 22 ? ? . 39713 3186 1 Is be VBZ 39713 3186 2 it -PRON- PRP 39713 3186 3 not not RB 39713 3186 4 as as IN 39713 3186 5 if if IN 39713 3186 6 one one CD 39713 3186 7 strove strove NN 39713 3186 8 to to TO 39713 3186 9 measure measure VB 39713 3186 10 length length NN 39713 3186 11 with with IN 39713 3186 12 a a DT 39713 3186 13 gram gram NN 39713 3186 14 or or CC 39713 3186 15 weight weight NN 39713 3186 16 with with IN 39713 3186 17 a a DT 39713 3186 18 meter meter NN 39713 3186 19 ? ? . 39713 3187 1 And and CC 39713 3187 2 besides besides RB 39713 3187 3 , , , 39713 3187 4 why why WRB 39713 3187 5 do do VBP 39713 3187 6 we -PRON- PRP 39713 3187 7 speak speak VB 39713 3187 8 of of IN 39713 3187 9 measuring measure VBG 39713 3187 10 ? ? . 39713 3188 1 We -PRON- PRP 39713 3188 2 know know VBP 39713 3188 3 perhaps perhaps RB 39713 3188 4 that that IN 39713 3188 5 some some DT 39713 3188 6 fact fact NN 39713 3188 7 is be VBZ 39713 3188 8 anterior anterior JJ 39713 3188 9 to to IN 39713 3188 10 some some DT 39713 3188 11 other other JJ 39713 3188 12 , , , 39713 3188 13 but but CC 39713 3188 14 not not RB 39713 3188 15 _ _ NNP 39713 3188 16 by by IN 39713 3188 17 how how WRB 39713 3188 18 much much JJ 39713 3188 19 _ _ IN 39713 3188 20 it -PRON- PRP 39713 3188 21 is be VBZ 39713 3188 22 anterior anterior JJ 39713 3188 23 . . . 39713 3189 1 Therefore therefore RB 39713 3189 2 two two CD 39713 3189 3 difficulties difficulty NNS 39713 3189 4 : : : 39713 3189 5 ( ( -LRB- 39713 3189 6 1 1 LS 39713 3189 7 ) ) -RRB- 39713 3189 8 Can Can MD 39713 3189 9 we -PRON- PRP 39713 3189 10 transform transform VB 39713 3189 11 psychologic psychologic JJ 39713 3189 12 time time NN 39713 3189 13 , , , 39713 3189 14 which which WDT 39713 3189 15 is be VBZ 39713 3189 16 qualitative qualitative JJ 39713 3189 17 , , , 39713 3189 18 into into IN 39713 3189 19 a a DT 39713 3189 20 quantitative quantitative JJ 39713 3189 21 time time NN 39713 3189 22 ? ? . 39713 3190 1 ( ( -LRB- 39713 3190 2 2 2 LS 39713 3190 3 ) ) -RRB- 39713 3190 4 Can Can MD 39713 3190 5 we -PRON- PRP 39713 3190 6 reduce reduce VB 39713 3190 7 to to IN 39713 3190 8 one one CD 39713 3190 9 and and CC 39713 3190 10 the the DT 39713 3190 11 same same JJ 39713 3190 12 measure measure NN 39713 3190 13 facts fact NNS 39713 3190 14 which which WDT 39713 3190 15 transpire transpire VBP 39713 3190 16 in in IN 39713 3190 17 different different JJ 39713 3190 18 worlds world NNS 39713 3190 19 ? ? . 39713 3191 1 III III NNP 39713 3191 2 The the DT 39713 3191 3 first first JJ 39713 3191 4 difficulty difficulty NN 39713 3191 5 has have VBZ 39713 3191 6 long long RB 39713 3191 7 been be VBN 39713 3191 8 noticed notice VBN 39713 3191 9 ; ; : 39713 3191 10 it -PRON- PRP 39713 3191 11 has have VBZ 39713 3191 12 been be VBN 39713 3191 13 the the DT 39713 3191 14 subject subject NN 39713 3191 15 of of IN 39713 3191 16 long long JJ 39713 3191 17 discussions discussion NNS 39713 3191 18 and and CC 39713 3191 19 one one PRP 39713 3191 20 may may MD 39713 3191 21 say say VB 39713 3191 22 the the DT 39713 3191 23 question question NN 39713 3191 24 is be VBZ 39713 3191 25 settled settle VBN 39713 3191 26 . . . 39713 3192 1 _ _ NNP 39713 3192 2 We -PRON- PRP 39713 3192 3 have have VBP 39713 3192 4 not not RB 39713 3192 5 a a DT 39713 3192 6 direct direct JJ 39713 3192 7 intuition intuition NN 39713 3192 8 of of IN 39713 3192 9 the the DT 39713 3192 10 equality equality NN 39713 3192 11 of of IN 39713 3192 12 two two CD 39713 3192 13 intervals interval NNS 39713 3192 14 of of IN 39713 3192 15 time time NN 39713 3192 16 . . . 39713 3192 17 _ _ NNP 39713 3192 18 The the DT 39713 3192 19 persons person NNS 39713 3192 20 who who WP 39713 3192 21 believe believe VBP 39713 3192 22 they -PRON- PRP 39713 3192 23 possess possess VBP 39713 3192 24 this this DT 39713 3192 25 intuition intuition NN 39713 3192 26 are be VBP 39713 3192 27 dupes dupe NNS 39713 3192 28 of of IN 39713 3192 29 an an DT 39713 3192 30 illusion illusion NN 39713 3192 31 . . . 39713 3193 1 When when WRB 39713 3193 2 I -PRON- PRP 39713 3193 3 say say VBP 39713 3193 4 , , , 39713 3193 5 from from IN 39713 3193 6 noon noon NN 39713 3193 7 to to IN 39713 3193 8 one one CD 39713 3193 9 the the DT 39713 3193 10 same same JJ 39713 3193 11 time time NN 39713 3193 12 passes pass VBZ 39713 3193 13 as as IN 39713 3193 14 from from IN 39713 3193 15 two two CD 39713 3193 16 to to IN 39713 3193 17 three three CD 39713 3193 18 , , , 39713 3193 19 what what WDT 39713 3193 20 meaning meaning NN 39713 3193 21 has have VBZ 39713 3193 22 this this DT 39713 3193 23 affirmation affirmation NN 39713 3193 24 ? ? . 39713 3194 1 The the DT 39713 3194 2 least least JJS 39713 3194 3 reflection reflection NN 39713 3194 4 shows show VBZ 39713 3194 5 that that IN 39713 3194 6 by by IN 39713 3194 7 itself -PRON- PRP 39713 3194 8 it -PRON- PRP 39713 3194 9 has have VBZ 39713 3194 10 none none NN 39713 3194 11 at at RB 39713 3194 12 all all RB 39713 3194 13 . . . 39713 3195 1 It -PRON- PRP 39713 3195 2 will will MD 39713 3195 3 only only RB 39713 3195 4 have have VB 39713 3195 5 that that DT 39713 3195 6 which which WDT 39713 3195 7 I -PRON- PRP 39713 3195 8 choose choose VBP 39713 3195 9 to to TO 39713 3195 10 give give VB 39713 3195 11 it -PRON- PRP 39713 3195 12 , , , 39713 3195 13 by by IN 39713 3195 14 a a DT 39713 3195 15 definition definition NN 39713 3195 16 which which WDT 39713 3195 17 will will MD 39713 3195 18 certainly certainly RB 39713 3195 19 possess possess VB 39713 3195 20 a a DT 39713 3195 21 certain certain JJ 39713 3195 22 degree degree NN 39713 3195 23 of of IN 39713 3195 24 arbitrariness arbitrariness NN 39713 3195 25 . . . 39713 3196 1 Psychologists psychologist NNS 39713 3196 2 could could MD 39713 3196 3 have have VB 39713 3196 4 done do VBN 39713 3196 5 without without IN 39713 3196 6 this this DT 39713 3196 7 definition definition NN 39713 3196 8 ; ; : 39713 3196 9 physicists physicist NNS 39713 3196 10 and and CC 39713 3196 11 astronomers astronomer NNS 39713 3196 12 could could MD 39713 3196 13 not not RB 39713 3196 14 ; ; : 39713 3196 15 let let VB 39713 3196 16 us -PRON- PRP 39713 3196 17 see see VB 39713 3196 18 how how WRB 39713 3196 19 they -PRON- PRP 39713 3196 20 have have VBP 39713 3196 21 managed manage VBN 39713 3196 22 . . . 39713 3197 1 To to TO 39713 3197 2 measure measure VB 39713 3197 3 time time NN 39713 3197 4 they -PRON- PRP 39713 3197 5 use use VBP 39713 3197 6 the the DT 39713 3197 7 pendulum pendulum NN 39713 3197 8 and and CC 39713 3197 9 they -PRON- PRP 39713 3197 10 suppose suppose VBP 39713 3197 11 by by IN 39713 3197 12 definition definition NN 39713 3197 13 that that IN 39713 3197 14 all all PDT 39713 3197 15 the the DT 39713 3197 16 beats beat NNS 39713 3197 17 of of IN 39713 3197 18 this this DT 39713 3197 19 pendulum pendulum NN 39713 3197 20 are be VBP 39713 3197 21 of of IN 39713 3197 22 equal equal JJ 39713 3197 23 duration duration NN 39713 3197 24 . . . 39713 3198 1 But but CC 39713 3198 2 this this DT 39713 3198 3 is be VBZ 39713 3198 4 only only RB 39713 3198 5 a a DT 39713 3198 6 first first JJ 39713 3198 7 approximation approximation NN 39713 3198 8 ; ; : 39713 3198 9 the the DT 39713 3198 10 temperature temperature NN 39713 3198 11 , , , 39713 3198 12 the the DT 39713 3198 13 resistance resistance NN 39713 3198 14 of of IN 39713 3198 15 the the DT 39713 3198 16 air air NN 39713 3198 17 , , , 39713 3198 18 the the DT 39713 3198 19 barometric barometric JJ 39713 3198 20 pressure pressure NN 39713 3198 21 , , , 39713 3198 22 make make VB 39713 3198 23 the the DT 39713 3198 24 pace pace NN 39713 3198 25 of of IN 39713 3198 26 the the DT 39713 3198 27 pendulum pendulum NN 39713 3198 28 vary vary VBP 39713 3198 29 . . . 39713 3199 1 If if IN 39713 3199 2 we -PRON- PRP 39713 3199 3 could could MD 39713 3199 4 escape escape VB 39713 3199 5 these these DT 39713 3199 6 sources source NNS 39713 3199 7 of of IN 39713 3199 8 error error NN 39713 3199 9 , , , 39713 3199 10 we -PRON- PRP 39713 3199 11 should should MD 39713 3199 12 obtain obtain VB 39713 3199 13 a a DT 39713 3199 14 much much RB 39713 3199 15 closer close JJR 39713 3199 16 approximation approximation NN 39713 3199 17 , , , 39713 3199 18 but but CC 39713 3199 19 it -PRON- PRP 39713 3199 20 would would MD 39713 3199 21 still still RB 39713 3199 22 be be VB 39713 3199 23 only only RB 39713 3199 24 an an DT 39713 3199 25 approximation approximation NN 39713 3199 26 . . . 39713 3200 1 New new JJ 39713 3200 2 causes cause NNS 39713 3200 3 , , , 39713 3200 4 hitherto hitherto NNP 39713 3200 5 neglected neglect VBD 39713 3200 6 , , , 39713 3200 7 electric electric JJ 39713 3200 8 , , , 39713 3200 9 magnetic magnetic JJ 39713 3200 10 or or CC 39713 3200 11 others other NNS 39713 3200 12 , , , 39713 3200 13 would would MD 39713 3200 14 introduce introduce VB 39713 3200 15 minute minute NN 39713 3200 16 perturbations perturbation NNS 39713 3200 17 . . . 39713 3201 1 In in IN 39713 3201 2 fact fact NN 39713 3201 3 , , , 39713 3201 4 the the DT 39713 3201 5 best good JJS 39713 3201 6 chronometers chronometer NNS 39713 3201 7 must must MD 39713 3201 8 be be VB 39713 3201 9 corrected correct VBN 39713 3201 10 from from IN 39713 3201 11 time time NN 39713 3201 12 to to IN 39713 3201 13 time time NN 39713 3201 14 , , , 39713 3201 15 and and CC 39713 3201 16 the the DT 39713 3201 17 corrections correction NNS 39713 3201 18 are be VBP 39713 3201 19 made make VBN 39713 3201 20 by by IN 39713 3201 21 the the DT 39713 3201 22 aid aid NN 39713 3201 23 of of IN 39713 3201 24 astronomic astronomic JJ 39713 3201 25 observations observation NNS 39713 3201 26 ; ; : 39713 3201 27 arrangements arrangement NNS 39713 3201 28 are be VBP 39713 3201 29 made make VBN 39713 3201 30 so so IN 39713 3201 31 that that IN 39713 3201 32 the the DT 39713 3201 33 sidereal sidereal JJ 39713 3201 34 clock clock NN 39713 3201 35 marks mark VBZ 39713 3201 36 the the DT 39713 3201 37 same same JJ 39713 3201 38 hour hour NN 39713 3201 39 when when WRB 39713 3201 40 the the DT 39713 3201 41 same same JJ 39713 3201 42 star star NN 39713 3201 43 passes pass VBZ 39713 3201 44 the the DT 39713 3201 45 meridian meridian NNP 39713 3201 46 . . . 39713 3202 1 In in IN 39713 3202 2 other other JJ 39713 3202 3 words word NNS 39713 3202 4 , , , 39713 3202 5 it -PRON- PRP 39713 3202 6 is be VBZ 39713 3202 7 the the DT 39713 3202 8 sidereal sidereal JJ 39713 3202 9 day day NN 39713 3202 10 , , , 39713 3202 11 that that RB 39713 3202 12 is is RB 39713 3202 13 , , , 39713 3202 14 the the DT 39713 3202 15 duration duration NN 39713 3202 16 of of IN 39713 3202 17 the the DT 39713 3202 18 rotation rotation NN 39713 3202 19 of of IN 39713 3202 20 the the DT 39713 3202 21 earth earth NN 39713 3202 22 , , , 39713 3202 23 which which WDT 39713 3202 24 is be VBZ 39713 3202 25 the the DT 39713 3202 26 constant constant JJ 39713 3202 27 unit unit NN 39713 3202 28 of of IN 39713 3202 29 time time NN 39713 3202 30 . . . 39713 3203 1 It -PRON- PRP 39713 3203 2 is be VBZ 39713 3203 3 supposed suppose VBN 39713 3203 4 , , , 39713 3203 5 by by IN 39713 3203 6 a a DT 39713 3203 7 new new JJ 39713 3203 8 definition definition NN 39713 3203 9 substituted substitute VBN 39713 3203 10 for for IN 39713 3203 11 that that DT 39713 3203 12 based base VBN 39713 3203 13 on on IN 39713 3203 14 the the DT 39713 3203 15 beats beat NNS 39713 3203 16 of of IN 39713 3203 17 the the DT 39713 3203 18 pendulum pendulum NN 39713 3203 19 , , , 39713 3203 20 that that IN 39713 3203 21 two two CD 39713 3203 22 complete complete JJ 39713 3203 23 rotations rotation NNS 39713 3203 24 of of IN 39713 3203 25 the the DT 39713 3203 26 earth earth NN 39713 3203 27 about about IN 39713 3203 28 its -PRON- PRP$ 39713 3203 29 axis axi NNS 39713 3203 30 have have VBP 39713 3203 31 the the DT 39713 3203 32 same same JJ 39713 3203 33 duration duration NN 39713 3203 34 . . . 39713 3204 1 However however RB 39713 3204 2 , , , 39713 3204 3 the the DT 39713 3204 4 astronomers astronomer NNS 39713 3204 5 are be VBP 39713 3204 6 still still RB 39713 3204 7 not not RB 39713 3204 8 content content JJ 39713 3204 9 with with IN 39713 3204 10 this this DT 39713 3204 11 definition definition NN 39713 3204 12 . . . 39713 3205 1 Many many JJ 39713 3205 2 of of IN 39713 3205 3 them -PRON- PRP 39713 3205 4 think think VBP 39713 3205 5 that that IN 39713 3205 6 the the DT 39713 3205 7 tides tides NNP 39713 3205 8 act act NN 39713 3205 9 as as IN 39713 3205 10 a a DT 39713 3205 11 check check NN 39713 3205 12 on on IN 39713 3205 13 our -PRON- PRP$ 39713 3205 14 globe globe NN 39713 3205 15 , , , 39713 3205 16 and and CC 39713 3205 17 that that IN 39713 3205 18 the the DT 39713 3205 19 rotation rotation NN 39713 3205 20 of of IN 39713 3205 21 the the DT 39713 3205 22 earth earth NN 39713 3205 23 is be VBZ 39713 3205 24 becoming become VBG 39713 3205 25 slower slow JJR 39713 3205 26 and and CC 39713 3205 27 slower slow JJR 39713 3205 28 . . . 39713 3206 1 Thus thus RB 39713 3206 2 would would MD 39713 3206 3 be be VB 39713 3206 4 explained explain VBN 39713 3206 5 the the DT 39713 3206 6 apparent apparent JJ 39713 3206 7 acceleration acceleration NN 39713 3206 8 of of IN 39713 3206 9 the the DT 39713 3206 10 motion motion NN 39713 3206 11 of of IN 39713 3206 12 the the DT 39713 3206 13 moon moon NN 39713 3206 14 , , , 39713 3206 15 which which WDT 39713 3206 16 would would MD 39713 3206 17 seem seem VB 39713 3206 18 to to TO 39713 3206 19 be be VB 39713 3206 20 going go VBG 39713 3206 21 more more RBR 39713 3206 22 rapidly rapidly RB 39713 3206 23 than than IN 39713 3206 24 theory theory NN 39713 3206 25 permits permit NNS 39713 3206 26 because because IN 39713 3206 27 our -PRON- PRP$ 39713 3206 28 watch watch NN 39713 3206 29 , , , 39713 3206 30 which which WDT 39713 3206 31 is be VBZ 39713 3206 32 the the DT 39713 3206 33 earth earth NN 39713 3206 34 , , , 39713 3206 35 is be VBZ 39713 3206 36 going go VBG 39713 3206 37 slow slow JJ 39713 3206 38 . . . 39713 3207 1 IV IV NNP 39713 3207 2 All all PDT 39713 3207 3 this this DT 39713 3207 4 is be VBZ 39713 3207 5 unimportant unimportant JJ 39713 3207 6 , , , 39713 3207 7 one one PRP 39713 3207 8 will will MD 39713 3207 9 say say VB 39713 3207 10 ; ; : 39713 3207 11 doubtless doubtless RB 39713 3207 12 our -PRON- PRP$ 39713 3207 13 instruments instrument NNS 39713 3207 14 of of IN 39713 3207 15 measurement measurement NN 39713 3207 16 are be VBP 39713 3207 17 imperfect imperfect JJ 39713 3207 18 , , , 39713 3207 19 but but CC 39713 3207 20 it -PRON- PRP 39713 3207 21 suffices suffice VBZ 39713 3207 22 that that IN 39713 3207 23 we -PRON- PRP 39713 3207 24 can can MD 39713 3207 25 conceive conceive VB 39713 3207 26 a a DT 39713 3207 27 perfect perfect JJ 39713 3207 28 instrument instrument NN 39713 3207 29 . . . 39713 3208 1 This this DT 39713 3208 2 ideal ideal NN 39713 3208 3 can can MD 39713 3208 4 not not RB 39713 3208 5 be be VB 39713 3208 6 reached reach VBN 39713 3208 7 , , , 39713 3208 8 but but CC 39713 3208 9 it -PRON- PRP 39713 3208 10 is be VBZ 39713 3208 11 enough enough JJ 39713 3208 12 to to TO 39713 3208 13 have have VB 39713 3208 14 conceived conceive VBN 39713 3208 15 it -PRON- PRP 39713 3208 16 and and CC 39713 3208 17 so so RB 39713 3208 18 to to TO 39713 3208 19 have have VB 39713 3208 20 put put VBN 39713 3208 21 rigor rigor NN 39713 3208 22 into into IN 39713 3208 23 the the DT 39713 3208 24 definition definition NN 39713 3208 25 of of IN 39713 3208 26 the the DT 39713 3208 27 unit unit NN 39713 3208 28 of of IN 39713 3208 29 time time NN 39713 3208 30 . . . 39713 3209 1 The the DT 39713 3209 2 trouble trouble NN 39713 3209 3 is be VBZ 39713 3209 4 that that IN 39713 3209 5 there there EX 39713 3209 6 is be VBZ 39713 3209 7 no no DT 39713 3209 8 rigor rigor NN 39713 3209 9 in in IN 39713 3209 10 the the DT 39713 3209 11 definition definition NN 39713 3209 12 . . . 39713 3210 1 When when WRB 39713 3210 2 we -PRON- PRP 39713 3210 3 use use VBP 39713 3210 4 the the DT 39713 3210 5 pendulum pendulum NN 39713 3210 6 to to TO 39713 3210 7 measure measure VB 39713 3210 8 time time NN 39713 3210 9 , , , 39713 3210 10 what what WDT 39713 3210 11 postulate postulate NN 39713 3210 12 do do VBP 39713 3210 13 we -PRON- PRP 39713 3210 14 implicitly implicitly RB 39713 3210 15 admit admit VB 39713 3210 16 ? ? . 39713 3211 1 _ _ NNP 39713 3211 2 It -PRON- PRP 39713 3211 3 is be VBZ 39713 3211 4 that that IN 39713 3211 5 the the DT 39713 3211 6 duration duration NN 39713 3211 7 of of IN 39713 3211 8 two two CD 39713 3211 9 identical identical JJ 39713 3211 10 phenomena phenomenon NNS 39713 3211 11 is be VBZ 39713 3211 12 the the DT 39713 3211 13 same same JJ 39713 3211 14 _ _ NN 39713 3211 15 ; ; : 39713 3211 16 or or CC 39713 3211 17 , , , 39713 3211 18 if if IN 39713 3211 19 you -PRON- PRP 39713 3211 20 prefer prefer VBP 39713 3211 21 , , , 39713 3211 22 that that IN 39713 3211 23 the the DT 39713 3211 24 same same JJ 39713 3211 25 causes cause NNS 39713 3211 26 take take VBP 39713 3211 27 the the DT 39713 3211 28 same same JJ 39713 3211 29 time time NN 39713 3211 30 to to TO 39713 3211 31 produce produce VB 39713 3211 32 the the DT 39713 3211 33 same same JJ 39713 3211 34 effects effect NNS 39713 3211 35 . . . 39713 3212 1 And and CC 39713 3212 2 at at IN 39713 3212 3 first first JJ 39713 3212 4 blush blush NN 39713 3212 5 , , , 39713 3212 6 this this DT 39713 3212 7 is be VBZ 39713 3212 8 a a DT 39713 3212 9 good good JJ 39713 3212 10 definition definition NN 39713 3212 11 of of IN 39713 3212 12 the the DT 39713 3212 13 equality equality NN 39713 3212 14 of of IN 39713 3212 15 two two CD 39713 3212 16 durations duration NNS 39713 3212 17 . . . 39713 3213 1 But but CC 39713 3213 2 take take VB 39713 3213 3 care care NN 39713 3213 4 . . . 39713 3214 1 Is be VBZ 39713 3214 2 it -PRON- PRP 39713 3214 3 impossible impossible JJ 39713 3214 4 that that DT 39713 3214 5 experiment experiment NN 39713 3214 6 may may MD 39713 3214 7 some some DT 39713 3214 8 day day NN 39713 3214 9 contradict contradict VB 39713 3214 10 our -PRON- PRP$ 39713 3214 11 postulate postulate NN 39713 3214 12 ? ? . 39713 3215 1 Let let VB 39713 3215 2 me -PRON- PRP 39713 3215 3 explain explain VB 39713 3215 4 myself -PRON- PRP 39713 3215 5 . . . 39713 3216 1 I -PRON- PRP 39713 3216 2 suppose suppose VBP 39713 3216 3 that that IN 39713 3216 4 at at IN 39713 3216 5 a a DT 39713 3216 6 certain certain JJ 39713 3216 7 place place NN 39713 3216 8 in in IN 39713 3216 9 the the DT 39713 3216 10 world world NN 39713 3216 11 the the DT 39713 3216 12 phenomenon phenomenon NN 39713 3216 13 [ [ -LRB- 39713 3216 14 alpha alpha NN 39713 3216 15 ] ] -RRB- 39713 3216 16 happens happen VBZ 39713 3216 17 , , , 39713 3216 18 causing cause VBG 39713 3216 19 as as IN 39713 3216 20 consequence consequence NN 39713 3216 21 at at IN 39713 3216 22 the the DT 39713 3216 23 end end NN 39713 3216 24 of of IN 39713 3216 25 a a DT 39713 3216 26 certain certain JJ 39713 3216 27 time time NN 39713 3216 28 the the DT 39713 3216 29 effect effect NN 39713 3216 30 [ [ -LRB- 39713 3216 31 alpha alpha NN 39713 3216 32 ] ] -RRB- 39713 3216 33 ' ' '' 39713 3216 34 . . . 39713 3217 1 At at IN 39713 3217 2 another another DT 39713 3217 3 place place NN 39713 3217 4 in in IN 39713 3217 5 the the DT 39713 3217 6 world world NN 39713 3217 7 very very RB 39713 3217 8 far far RB 39713 3217 9 away away RB 39713 3217 10 from from IN 39713 3217 11 the the DT 39713 3217 12 first first JJ 39713 3217 13 , , , 39713 3217 14 happens happen VBZ 39713 3217 15 the the DT 39713 3217 16 phenomenon phenomenon NN 39713 3217 17 [ [ -LRB- 39713 3217 18 beta beta NN 39713 3217 19 ] ] -RRB- 39713 3217 20 , , , 39713 3217 21 which which WDT 39713 3217 22 causes cause VBZ 39713 3217 23 as as IN 39713 3217 24 consequence consequence NN 39713 3217 25 the the DT 39713 3217 26 effect effect NN 39713 3217 27 [ [ -LRB- 39713 3217 28 beta beta NN 39713 3217 29 ] ] -RRB- 39713 3217 30 ' ' '' 39713 3217 31 . . . 39713 3218 1 The the DT 39713 3218 2 phenomena phenomenon NNS 39713 3218 3 [ [ -LRB- 39713 3218 4 alpha alpha NN 39713 3218 5 ] ] -RRB- 39713 3218 6 and and CC 39713 3218 7 [ [ -LRB- 39713 3218 8 beta beta NN 39713 3218 9 ] ] -RRB- 39713 3218 10 are be VBP 39713 3218 11 simultaneous simultaneous JJ 39713 3218 12 , , , 39713 3218 13 as as IN 39713 3218 14 are be VBP 39713 3218 15 also also RB 39713 3218 16 the the DT 39713 3218 17 effects effect NNS 39713 3218 18 [ [ -LRB- 39713 3218 19 alpha alpha NN 39713 3218 20 ] ] -RRB- 39713 3218 21 ' ' '' 39713 3218 22 and and CC 39713 3218 23 [ [ -LRB- 39713 3218 24 beta beta NN 39713 3218 25 ] ] -RRB- 39713 3218 26 ' ' '' 39713 3218 27 . . . 39713 3219 1 Later later RB 39713 3219 2 , , , 39713 3219 3 the the DT 39713 3219 4 phenomenon phenomenon NN 39713 3219 5 [ [ -LRB- 39713 3219 6 alpha alpha NN 39713 3219 7 ] ] -RRB- 39713 3219 8 is be VBZ 39713 3219 9 reproduced reproduce VBN 39713 3219 10 under under IN 39713 3219 11 approximately approximately RB 39713 3219 12 the the DT 39713 3219 13 same same JJ 39713 3219 14 conditions condition NNS 39713 3219 15 as as IN 39713 3219 16 before before RB 39713 3219 17 , , , 39713 3219 18 and and CC 39713 3219 19 _ _ NNP 39713 3219 20 simultaneously simultaneously RB 39713 3219 21 _ _ IN 39713 3219 22 the the DT 39713 3219 23 phenomenon phenomenon NN 39713 3219 24 [ [ -LRB- 39713 3219 25 beta beta NN 39713 3219 26 ] ] -RRB- 39713 3219 27 is be VBZ 39713 3219 28 also also RB 39713 3219 29 reproduced reproduce VBN 39713 3219 30 at at IN 39713 3219 31 a a DT 39713 3219 32 very very RB 39713 3219 33 distant distant JJ 39713 3219 34 place place NN 39713 3219 35 in in IN 39713 3219 36 the the DT 39713 3219 37 world world NN 39713 3219 38 and and CC 39713 3219 39 almost almost RB 39713 3219 40 under under IN 39713 3219 41 the the DT 39713 3219 42 same same JJ 39713 3219 43 circumstances circumstance NNS 39713 3219 44 . . . 39713 3220 1 The the DT 39713 3220 2 effects effect NNS 39713 3220 3 [ [ -LRB- 39713 3220 4 alpha alpha NN 39713 3220 5 ] ] -RRB- 39713 3220 6 ' ' '' 39713 3220 7 and and CC 39713 3220 8 [ [ -LRB- 39713 3220 9 beta beta NN 39713 3220 10 ] ] -RRB- 39713 3220 11 ' ' '' 39713 3220 12 also also RB 39713 3220 13 take take VB 39713 3220 14 place place NN 39713 3220 15 . . . 39713 3221 1 Let let VB 39713 3221 2 us -PRON- PRP 39713 3221 3 suppose suppose VB 39713 3221 4 that that IN 39713 3221 5 the the DT 39713 3221 6 effect effect NN 39713 3221 7 [ [ -LRB- 39713 3221 8 alpha alpha NN 39713 3221 9 ] ] -RRB- 39713 3221 10 ' ' `` 39713 3221 11 happens happen VBZ 39713 3221 12 perceptibly perceptibly RB 39713 3221 13 before before IN 39713 3221 14 the the DT 39713 3221 15 effect effect NN 39713 3221 16 [ [ -LRB- 39713 3221 17 beta beta NN 39713 3221 18 ] ] -RRB- 39713 3221 19 ' ' '' 39713 3221 20 . . . 39713 3222 1 If if IN 39713 3222 2 experience experience NN 39713 3222 3 made make VBD 39713 3222 4 us -PRON- PRP 39713 3222 5 witness witness NN 39713 3222 6 such such PDT 39713 3222 7 a a DT 39713 3222 8 sight sight NN 39713 3222 9 , , , 39713 3222 10 our -PRON- PRP$ 39713 3222 11 postulate postulate NN 39713 3222 12 would would MD 39713 3222 13 be be VB 39713 3222 14 contradicted contradict VBN 39713 3222 15 . . . 39713 3223 1 For for IN 39713 3223 2 experience experience NN 39713 3223 3 would would MD 39713 3223 4 tell tell VB 39713 3223 5 us -PRON- PRP 39713 3223 6 that that IN 39713 3223 7 the the DT 39713 3223 8 first first JJ 39713 3223 9 duration duration NN 39713 3223 10 [ [ -LRB- 39713 3223 11 alpha][alpha alpha][alpha NNP 39713 3223 12 ] ] -RRB- 39713 3223 13 ' ' `` 39713 3223 14 is be VBZ 39713 3223 15 equal equal JJ 39713 3223 16 to to IN 39713 3223 17 the the DT 39713 3223 18 first first JJ 39713 3223 19 duration duration NN 39713 3223 20 [ [ -LRB- 39713 3223 21 beta][beta beta][beta NNP 39713 3223 22 ] ] -RRB- 39713 3223 23 ' ' '' 39713 3223 24 and and CC 39713 3223 25 that that IN 39713 3223 26 the the DT 39713 3223 27 second second JJ 39713 3223 28 duration duration NN 39713 3223 29 [ [ -LRB- 39713 3223 30 alpha][alpha alpha][alpha NNP 39713 3223 31 ] ] -RRB- 39713 3223 32 ' ' `` 39713 3223 33 is be VBZ 39713 3223 34 less less JJR 39713 3223 35 than than IN 39713 3223 36 the the DT 39713 3223 37 second second JJ 39713 3223 38 duration duration NN 39713 3223 39 [ [ -LRB- 39713 3223 40 beta][beta beta][beta NNP 39713 3223 41 ] ] -RRB- 39713 3223 42 ' ' '' 39713 3223 43 . . . 39713 3224 1 On on IN 39713 3224 2 the the DT 39713 3224 3 other other JJ 39713 3224 4 hand hand NN 39713 3224 5 , , , 39713 3224 6 our -PRON- PRP$ 39713 3224 7 postulate postulate NN 39713 3224 8 would would MD 39713 3224 9 require require VB 39713 3224 10 that that IN 39713 3224 11 the the DT 39713 3224 12 two two CD 39713 3224 13 durations duration NNS 39713 3224 14 [ [ -LRB- 39713 3224 15 alpha][alpha alpha][alpha NNP 39713 3224 16 ] ] -RRB- 39713 3224 17 ' ' `` 39713 3224 18 should should MD 39713 3224 19 be be VB 39713 3224 20 equal equal JJ 39713 3224 21 to to IN 39713 3224 22 each each DT 39713 3224 23 other other JJ 39713 3224 24 , , , 39713 3224 25 as as RB 39713 3224 26 likewise likewise RB 39713 3224 27 the the DT 39713 3224 28 two two CD 39713 3224 29 durations duration NNS 39713 3224 30 [ [ -LRB- 39713 3224 31 beta][beta beta][beta NNP 39713 3224 32 ] ] -RRB- 39713 3224 33 ' ' '' 39713 3224 34 . . . 39713 3225 1 The the DT 39713 3225 2 equality equality NN 39713 3225 3 and and CC 39713 3225 4 the the DT 39713 3225 5 inequality inequality NN 39713 3225 6 deduced deduce VBN 39713 3225 7 from from IN 39713 3225 8 experience experience NN 39713 3225 9 would would MD 39713 3225 10 be be VB 39713 3225 11 incompatible incompatible JJ 39713 3225 12 with with IN 39713 3225 13 the the DT 39713 3225 14 two two CD 39713 3225 15 equalities equality NNS 39713 3225 16 deduced deduce VBN 39713 3225 17 from from IN 39713 3225 18 the the DT 39713 3225 19 postulate postulate NN 39713 3225 20 . . . 39713 3226 1 Now now RB 39713 3226 2 can can MD 39713 3226 3 we -PRON- PRP 39713 3226 4 affirm affirm VB 39713 3226 5 that that IN 39713 3226 6 the the DT 39713 3226 7 hypotheses hypothesis NNS 39713 3226 8 I -PRON- PRP 39713 3226 9 have have VBP 39713 3226 10 just just RB 39713 3226 11 made make VBN 39713 3226 12 are be VBP 39713 3226 13 absurd absurd JJ 39713 3226 14 ? ? . 39713 3227 1 They -PRON- PRP 39713 3227 2 are be VBP 39713 3227 3 in in IN 39713 3227 4 no no DT 39713 3227 5 wise wise JJ 39713 3227 6 contrary contrary NN 39713 3227 7 to to IN 39713 3227 8 the the DT 39713 3227 9 principle principle NN 39713 3227 10 of of IN 39713 3227 11 contradiction contradiction NN 39713 3227 12 . . . 39713 3228 1 Doubtless doubtless RB 39713 3228 2 they -PRON- PRP 39713 3228 3 could could MD 39713 3228 4 not not RB 39713 3228 5 happen happen VB 39713 3228 6 without without IN 39713 3228 7 the the DT 39713 3228 8 principle principle NN 39713 3228 9 of of IN 39713 3228 10 sufficient sufficient JJ 39713 3228 11 reason reason NN 39713 3228 12 seeming seeming NN 39713 3228 13 violated violate VBD 39713 3228 14 . . . 39713 3229 1 But but CC 39713 3229 2 to to TO 39713 3229 3 justify justify VB 39713 3229 4 a a DT 39713 3229 5 definition definition NN 39713 3229 6 so so RB 39713 3229 7 fundamental fundamental JJ 39713 3229 8 I -PRON- PRP 39713 3229 9 should should MD 39713 3229 10 prefer prefer VB 39713 3229 11 some some DT 39713 3229 12 other other JJ 39713 3229 13 guarantee guarantee NN 39713 3229 14 . . . 39713 3230 1 V V NNP 39713 3230 2 But but CC 39713 3230 3 that that DT 39713 3230 4 is be VBZ 39713 3230 5 not not RB 39713 3230 6 all all DT 39713 3230 7 . . . 39713 3231 1 In in IN 39713 3231 2 physical physical JJ 39713 3231 3 reality reality NN 39713 3231 4 one one CD 39713 3231 5 cause cause NN 39713 3231 6 does do VBZ 39713 3231 7 not not RB 39713 3231 8 produce produce VB 39713 3231 9 a a DT 39713 3231 10 given give VBN 39713 3231 11 effect effect NN 39713 3231 12 , , , 39713 3231 13 but but CC 39713 3231 14 a a DT 39713 3231 15 multitude multitude NN 39713 3231 16 of of IN 39713 3231 17 distinct distinct JJ 39713 3231 18 causes cause NNS 39713 3231 19 contribute contribute VBP 39713 3231 20 to to TO 39713 3231 21 produce produce VB 39713 3231 22 it -PRON- PRP 39713 3231 23 , , , 39713 3231 24 without without IN 39713 3231 25 our -PRON- PRP$ 39713 3231 26 having have VBG 39713 3231 27 any any DT 39713 3231 28 means mean NNS 39713 3231 29 of of IN 39713 3231 30 discriminating discriminate VBG 39713 3231 31 the the DT 39713 3231 32 part part NN 39713 3231 33 of of IN 39713 3231 34 each each DT 39713 3231 35 of of IN 39713 3231 36 them -PRON- PRP 39713 3231 37 . . . 39713 3232 1 Physicists physicist NNS 39713 3232 2 seek seek VBP 39713 3232 3 to to TO 39713 3232 4 make make VB 39713 3232 5 this this DT 39713 3232 6 distinction distinction NN 39713 3232 7 ; ; : 39713 3232 8 but but CC 39713 3232 9 they -PRON- PRP 39713 3232 10 make make VBP 39713 3232 11 it -PRON- PRP 39713 3232 12 only only RB 39713 3232 13 approximately approximately RB 39713 3232 14 , , , 39713 3232 15 and and CC 39713 3232 16 , , , 39713 3232 17 however however RB 39713 3232 18 they -PRON- PRP 39713 3232 19 progress progress VBP 39713 3232 20 , , , 39713 3232 21 they -PRON- PRP 39713 3232 22 never never RB 39713 3232 23 will will MD 39713 3232 24 make make VB 39713 3232 25 it -PRON- PRP 39713 3232 26 except except IN 39713 3232 27 approximately approximately RB 39713 3232 28 . . . 39713 3233 1 It -PRON- PRP 39713 3233 2 is be VBZ 39713 3233 3 approximately approximately RB 39713 3233 4 true true JJ 39713 3233 5 that that IN 39713 3233 6 the the DT 39713 3233 7 motion motion NN 39713 3233 8 of of IN 39713 3233 9 the the DT 39713 3233 10 pendulum pendulum NN 39713 3233 11 is be VBZ 39713 3233 12 due due JJ 39713 3233 13 solely solely RB 39713 3233 14 to to IN 39713 3233 15 the the DT 39713 3233 16 earth earth NN 39713 3233 17 's 's POS 39713 3233 18 attraction attraction NN 39713 3233 19 ; ; : 39713 3233 20 but but CC 39713 3233 21 in in IN 39713 3233 22 all all DT 39713 3233 23 rigor rigor VBP 39713 3233 24 every every DT 39713 3233 25 attraction attraction NN 39713 3233 26 , , , 39713 3233 27 even even RB 39713 3233 28 of of IN 39713 3233 29 Sirius Sirius NNP 39713 3233 30 , , , 39713 3233 31 acts act VBZ 39713 3233 32 on on IN 39713 3233 33 the the DT 39713 3233 34 pendulum pendulum NN 39713 3233 35 . . . 39713 3234 1 Under under IN 39713 3234 2 these these DT 39713 3234 3 conditions condition NNS 39713 3234 4 , , , 39713 3234 5 it -PRON- PRP 39713 3234 6 is be VBZ 39713 3234 7 clear clear JJ 39713 3234 8 that that IN 39713 3234 9 the the DT 39713 3234 10 causes cause NNS 39713 3234 11 which which WDT 39713 3234 12 have have VBP 39713 3234 13 produced produce VBN 39713 3234 14 a a DT 39713 3234 15 certain certain JJ 39713 3234 16 effect effect NN 39713 3234 17 will will MD 39713 3234 18 never never RB 39713 3234 19 be be VB 39713 3234 20 reproduced reproduce VBN 39713 3234 21 except except IN 39713 3234 22 approximately approximately RB 39713 3234 23 . . . 39713 3235 1 Then then RB 39713 3235 2 we -PRON- PRP 39713 3235 3 should should MD 39713 3235 4 modify modify VB 39713 3235 5 our -PRON- PRP$ 39713 3235 6 postulate postulate NN 39713 3235 7 and and CC 39713 3235 8 our -PRON- PRP$ 39713 3235 9 definition definition NN 39713 3235 10 . . . 39713 3236 1 Instead instead RB 39713 3236 2 of of IN 39713 3236 3 saying say VBG 39713 3236 4 : : : 39713 3236 5 ' ' '' 39713 3236 6 The the DT 39713 3236 7 same same JJ 39713 3236 8 causes cause NNS 39713 3236 9 take take VBP 39713 3236 10 the the DT 39713 3236 11 same same JJ 39713 3236 12 time time NN 39713 3236 13 to to TO 39713 3236 14 produce produce VB 39713 3236 15 the the DT 39713 3236 16 same same JJ 39713 3236 17 effects effect NNS 39713 3236 18 , , , 39713 3236 19 ' ' '' 39713 3236 20 we -PRON- PRP 39713 3236 21 should should MD 39713 3236 22 say say VB 39713 3236 23 : : : 39713 3236 24 ' ' `` 39713 3236 25 Causes cause NNS 39713 3236 26 almost almost RB 39713 3236 27 identical identical JJ 39713 3236 28 take take VBP 39713 3236 29 almost almost RB 39713 3236 30 the the DT 39713 3236 31 same same JJ 39713 3236 32 time time NN 39713 3236 33 to to TO 39713 3236 34 produce produce VB 39713 3236 35 almost almost RB 39713 3236 36 the the DT 39713 3236 37 same same JJ 39713 3236 38 effects effect NNS 39713 3236 39 . . . 39713 3236 40 ' ' '' 39713 3237 1 Our -PRON- PRP$ 39713 3237 2 definition definition NN 39713 3237 3 therefore therefore RB 39713 3237 4 is be VBZ 39713 3237 5 no no DT 39713 3237 6 longer long JJR 39713 3237 7 anything anything NN 39713 3237 8 but but IN 39713 3237 9 approximate approximate JJ 39713 3237 10 . . . 39713 3238 1 Besides besides RB 39713 3238 2 , , , 39713 3238 3 as as IN 39713 3238 4 M. M. NNP 39713 3238 5 Calinon Calinon NNP 39713 3238 6 very very RB 39713 3238 7 justly justly RB 39713 3238 8 remarks remark VBZ 39713 3238 9 in in IN 39713 3238 10 a a DT 39713 3238 11 recent recent JJ 39713 3238 12 memoir:[7 memoir:[7 NN 39713 3238 13 ] ] -RRB- 39713 3238 14 One one CD 39713 3238 15 of of IN 39713 3238 16 the the DT 39713 3238 17 circumstances circumstance NNS 39713 3238 18 of of IN 39713 3238 19 any any DT 39713 3238 20 phenomenon phenomenon NN 39713 3238 21 is be VBZ 39713 3238 22 the the DT 39713 3238 23 velocity velocity NN 39713 3238 24 of of IN 39713 3238 25 the the DT 39713 3238 26 earth earth NN 39713 3238 27 's 's POS 39713 3238 28 rotation rotation NN 39713 3238 29 ; ; : 39713 3238 30 if if IN 39713 3238 31 this this DT 39713 3238 32 velocity velocity NN 39713 3238 33 of of IN 39713 3238 34 rotation rotation NN 39713 3238 35 varies vary VBZ 39713 3238 36 , , , 39713 3238 37 it -PRON- PRP 39713 3238 38 constitutes constitute VBZ 39713 3238 39 in in IN 39713 3238 40 the the DT 39713 3238 41 reproduction reproduction NN 39713 3238 42 of of IN 39713 3238 43 this this DT 39713 3238 44 phenomenon phenomenon NN 39713 3238 45 a a DT 39713 3238 46 circumstance circumstance NN 39713 3238 47 which which WDT 39713 3238 48 no no RB 39713 3238 49 longer long RBR 39713 3238 50 remains remain VBZ 39713 3238 51 the the DT 39713 3238 52 same same JJ 39713 3238 53 . . . 39713 3239 1 But but CC 39713 3239 2 to to TO 39713 3239 3 suppose suppose VB 39713 3239 4 this this DT 39713 3239 5 velocity velocity NN 39713 3239 6 of of IN 39713 3239 7 rotation rotation NN 39713 3239 8 constant constant JJ 39713 3239 9 is be VBZ 39713 3239 10 to to TO 39713 3239 11 suppose suppose VB 39713 3239 12 that that IN 39713 3239 13 we -PRON- PRP 39713 3239 14 know know VBP 39713 3239 15 how how WRB 39713 3239 16 to to TO 39713 3239 17 measure measure VB 39713 3239 18 time time NN 39713 3239 19 . . . 39713 3240 1 [ [ -LRB- 39713 3240 2 7 7 CD 39713 3240 3 ] ] -RRB- 39713 3240 4 _ _ NNP 39713 3240 5 Etude Etude NNP 39713 3240 6 sur sur FW 39713 3240 7 les les NNP 39713 3240 8 diverses diverse VBZ 39713 3240 9 grandeurs grandeur NNS 39713 3240 10 _ _ NNP 39713 3240 11 , , , 39713 3240 12 Paris Paris NNP 39713 3240 13 , , , 39713 3240 14 Gauthier Gauthier NNP 39713 3240 15 - - HYPH 39713 3240 16 Villars Villars NNP 39713 3240 17 , , , 39713 3240 18 1897 1897 CD 39713 3240 19 . . . 39713 3241 1 Our -PRON- PRP$ 39713 3241 2 definition definition NN 39713 3241 3 is be VBZ 39713 3241 4 therefore therefore RB 39713 3241 5 not not RB 39713 3241 6 yet yet RB 39713 3241 7 satisfactory satisfactory JJ 39713 3241 8 ; ; : 39713 3241 9 it -PRON- PRP 39713 3241 10 is be VBZ 39713 3241 11 certainly certainly RB 39713 3241 12 not not RB 39713 3241 13 that that IN 39713 3241 14 which which WDT 39713 3241 15 the the DT 39713 3241 16 astronomers astronomer NNS 39713 3241 17 of of IN 39713 3241 18 whom whom WP 39713 3241 19 I -PRON- PRP 39713 3241 20 spoke speak VBD 39713 3241 21 above above IN 39713 3241 22 implicitly implicitly RB 39713 3241 23 adopt adopt VB 39713 3241 24 , , , 39713 3241 25 when when WRB 39713 3241 26 they -PRON- PRP 39713 3241 27 affirm affirm VBP 39713 3241 28 that that IN 39713 3241 29 the the DT 39713 3241 30 terrestrial terrestrial JJ 39713 3241 31 rotation rotation NN 39713 3241 32 is be VBZ 39713 3241 33 slowing slow VBG 39713 3241 34 down down RP 39713 3241 35 . . . 39713 3242 1 What what WDT 39713 3242 2 meaning meaning NN 39713 3242 3 according accord VBG 39713 3242 4 to to IN 39713 3242 5 them -PRON- PRP 39713 3242 6 has have VBZ 39713 3242 7 this this DT 39713 3242 8 affirmation affirmation NN 39713 3242 9 ? ? . 39713 3243 1 We -PRON- PRP 39713 3243 2 can can MD 39713 3243 3 only only RB 39713 3243 4 understand understand VB 39713 3243 5 it -PRON- PRP 39713 3243 6 by by IN 39713 3243 7 analyzing analyze VBG 39713 3243 8 the the DT 39713 3243 9 proofs proof NNS 39713 3243 10 they -PRON- PRP 39713 3243 11 give give VBP 39713 3243 12 of of IN 39713 3243 13 their -PRON- PRP$ 39713 3243 14 proposition proposition NN 39713 3243 15 . . . 39713 3244 1 They -PRON- PRP 39713 3244 2 say say VBP 39713 3244 3 first first RB 39713 3244 4 that that IN 39713 3244 5 the the DT 39713 3244 6 friction friction NN 39713 3244 7 of of IN 39713 3244 8 the the DT 39713 3244 9 tides tide NNS 39713 3244 10 producing produce VBG 39713 3244 11 heat heat NN 39713 3244 12 must must MD 39713 3244 13 destroy destroy VB 39713 3244 14 _ _ NNP 39713 3244 15 vis vis FW 39713 3244 16 viva viva FW 39713 3244 17 _ _ NNP 39713 3244 18 . . . 39713 3245 1 They -PRON- PRP 39713 3245 2 invoke invoke VBD 39713 3245 3 therefore therefore RB 39713 3245 4 the the DT 39713 3245 5 principle principle NN 39713 3245 6 of of IN 39713 3245 7 _ _ NNP 39713 3245 8 vis vis FW 39713 3245 9 viva viva FW 39713 3245 10 _ _ NNP 39713 3245 11 , , , 39713 3245 12 or or CC 39713 3245 13 of of IN 39713 3245 14 the the DT 39713 3245 15 conservation conservation NN 39713 3245 16 of of IN 39713 3245 17 energy energy NN 39713 3245 18 . . . 39713 3246 1 They -PRON- PRP 39713 3246 2 say say VBP 39713 3246 3 next next IN 39713 3246 4 that that IN 39713 3246 5 the the DT 39713 3246 6 secular secular JJ 39713 3246 7 acceleration acceleration NN 39713 3246 8 of of IN 39713 3246 9 the the DT 39713 3246 10 moon moon NN 39713 3246 11 , , , 39713 3246 12 calculated calculate VBN 39713 3246 13 according accord VBG 39713 3246 14 to to IN 39713 3246 15 Newton Newton NNP 39713 3246 16 's 's POS 39713 3246 17 law law NN 39713 3246 18 , , , 39713 3246 19 would would MD 39713 3246 20 be be VB 39713 3246 21 less less JJR 39713 3246 22 than than IN 39713 3246 23 that that DT 39713 3246 24 deduced deduce VBN 39713 3246 25 from from IN 39713 3246 26 observations observation NNS 39713 3246 27 unless unless IN 39713 3246 28 the the DT 39713 3246 29 correction correction NN 39713 3246 30 relative relative JJ 39713 3246 31 to to IN 39713 3246 32 the the DT 39713 3246 33 slowing slow VBG 39713 3246 34 down down RP 39713 3246 35 of of IN 39713 3246 36 the the DT 39713 3246 37 terrestrial terrestrial JJ 39713 3246 38 rotation rotation NN 39713 3246 39 were be VBD 39713 3246 40 made make VBN 39713 3246 41 . . . 39713 3247 1 They -PRON- PRP 39713 3247 2 invoke invoke VBD 39713 3247 3 therefore therefore RB 39713 3247 4 Newton Newton NNP 39713 3247 5 's 's POS 39713 3247 6 law law NN 39713 3247 7 . . . 39713 3248 1 In in IN 39713 3248 2 other other JJ 39713 3248 3 words word NNS 39713 3248 4 , , , 39713 3248 5 they -PRON- PRP 39713 3248 6 define define VBP 39713 3248 7 duration duration NN 39713 3248 8 in in IN 39713 3248 9 the the DT 39713 3248 10 following following JJ 39713 3248 11 way way NN 39713 3248 12 : : : 39713 3248 13 time time NN 39713 3248 14 should should MD 39713 3248 15 be be VB 39713 3248 16 so so RB 39713 3248 17 defined define VBN 39713 3248 18 that that IN 39713 3248 19 Newton Newton NNP 39713 3248 20 's 's POS 39713 3248 21 law law NN 39713 3248 22 and and CC 39713 3248 23 that that DT 39713 3248 24 of of IN 39713 3248 25 _ _ NNP 39713 3248 26 vis vis FW 39713 3248 27 viva viva FW 39713 3248 28 _ _ NNP 39713 3248 29 may may MD 39713 3248 30 be be VB 39713 3248 31 verified verify VBN 39713 3248 32 . . . 39713 3249 1 Newton Newton NNP 39713 3249 2 's 's POS 39713 3249 3 law law NN 39713 3249 4 is be VBZ 39713 3249 5 an an DT 39713 3249 6 experimental experimental JJ 39713 3249 7 truth truth NN 39713 3249 8 ; ; : 39713 3249 9 as as IN 39713 3249 10 such such JJ 39713 3249 11 it -PRON- PRP 39713 3249 12 is be VBZ 39713 3249 13 only only RB 39713 3249 14 approximate approximate JJ 39713 3249 15 , , , 39713 3249 16 which which WDT 39713 3249 17 shows show VBZ 39713 3249 18 that that IN 39713 3249 19 we -PRON- PRP 39713 3249 20 still still RB 39713 3249 21 have have VBP 39713 3249 22 only only RB 39713 3249 23 a a DT 39713 3249 24 definition definition NN 39713 3249 25 by by IN 39713 3249 26 approximation approximation NN 39713 3249 27 . . . 39713 3250 1 If if IN 39713 3250 2 now now RB 39713 3250 3 it -PRON- PRP 39713 3250 4 be be VB 39713 3250 5 supposed suppose VBN 39713 3250 6 that that IN 39713 3250 7 another another DT 39713 3250 8 way way NN 39713 3250 9 of of IN 39713 3250 10 measuring measure VBG 39713 3250 11 time time NN 39713 3250 12 is be VBZ 39713 3250 13 adopted adopt VBN 39713 3250 14 , , , 39713 3250 15 the the DT 39713 3250 16 experiments experiment NNS 39713 3250 17 on on IN 39713 3250 18 which which WDT 39713 3250 19 Newton Newton NNP 39713 3250 20 's 's POS 39713 3250 21 law law NN 39713 3250 22 is be VBZ 39713 3250 23 founded found VBN 39713 3250 24 would would MD 39713 3250 25 none none VB 39713 3250 26 the the DT 39713 3250 27 less less RBR 39713 3250 28 have have VB 39713 3250 29 the the DT 39713 3250 30 same same JJ 39713 3250 31 meaning meaning NN 39713 3250 32 . . . 39713 3251 1 Only only RB 39713 3251 2 the the DT 39713 3251 3 enunciation enunciation NN 39713 3251 4 of of IN 39713 3251 5 the the DT 39713 3251 6 law law NN 39713 3251 7 would would MD 39713 3251 8 be be VB 39713 3251 9 different different JJ 39713 3251 10 , , , 39713 3251 11 because because IN 39713 3251 12 it -PRON- PRP 39713 3251 13 would would MD 39713 3251 14 be be VB 39713 3251 15 translated translate VBN 39713 3251 16 into into IN 39713 3251 17 another another DT 39713 3251 18 language language NN 39713 3251 19 ; ; : 39713 3251 20 it -PRON- PRP 39713 3251 21 would would MD 39713 3251 22 evidently evidently RB 39713 3251 23 be be VB 39713 3251 24 much much RB 39713 3251 25 less less RBR 39713 3251 26 simple simple JJ 39713 3251 27 . . . 39713 3252 1 So so RB 39713 3252 2 that that IN 39713 3252 3 the the DT 39713 3252 4 definition definition NN 39713 3252 5 implicitly implicitly RB 39713 3252 6 adopted adopt VBN 39713 3252 7 by by IN 39713 3252 8 the the DT 39713 3252 9 astronomers astronomer NNS 39713 3252 10 may may MD 39713 3252 11 be be VB 39713 3252 12 summed sum VBN 39713 3252 13 up up RP 39713 3252 14 thus thus RB 39713 3252 15 : : : 39713 3252 16 Time time NN 39713 3252 17 should should MD 39713 3252 18 be be VB 39713 3252 19 so so RB 39713 3252 20 defined define VBN 39713 3252 21 that that IN 39713 3252 22 the the DT 39713 3252 23 equations equation NNS 39713 3252 24 of of IN 39713 3252 25 mechanics mechanic NNS 39713 3252 26 may may MD 39713 3252 27 be be VB 39713 3252 28 as as RB 39713 3252 29 simple simple JJ 39713 3252 30 as as IN 39713 3252 31 possible possible JJ 39713 3252 32 . . . 39713 3253 1 In in IN 39713 3253 2 other other JJ 39713 3253 3 words word NNS 39713 3253 4 , , , 39713 3253 5 there there EX 39713 3253 6 is be VBZ 39713 3253 7 not not RB 39713 3253 8 one one CD 39713 3253 9 way way NN 39713 3253 10 of of IN 39713 3253 11 measuring measure VBG 39713 3253 12 time time NN 39713 3253 13 more more RBR 39713 3253 14 true true JJ 39713 3253 15 than than IN 39713 3253 16 another another DT 39713 3253 17 ; ; : 39713 3253 18 that that DT 39713 3253 19 which which WDT 39713 3253 20 is be VBZ 39713 3253 21 generally generally RB 39713 3253 22 adopted adopt VBN 39713 3253 23 is be VBZ 39713 3253 24 only only RB 39713 3253 25 more more RBR 39713 3253 26 _ _ NNP 39713 3253 27 convenient convenient JJ 39713 3253 28 _ _ NNP 39713 3253 29 . . . 39713 3254 1 Of of IN 39713 3254 2 two two CD 39713 3254 3 watches watch NNS 39713 3254 4 , , , 39713 3254 5 we -PRON- PRP 39713 3254 6 have have VBP 39713 3254 7 no no DT 39713 3254 8 right right NN 39713 3254 9 to to TO 39713 3254 10 say say VB 39713 3254 11 that that IN 39713 3254 12 the the DT 39713 3254 13 one one NN 39713 3254 14 goes go VBZ 39713 3254 15 true true JJ 39713 3254 16 , , , 39713 3254 17 the the DT 39713 3254 18 other other JJ 39713 3254 19 wrong wrong NN 39713 3254 20 ; ; : 39713 3254 21 we -PRON- PRP 39713 3254 22 can can MD 39713 3254 23 only only RB 39713 3254 24 say say VB 39713 3254 25 that that IN 39713 3254 26 it -PRON- PRP 39713 3254 27 is be VBZ 39713 3254 28 advantageous advantageous JJ 39713 3254 29 to to TO 39713 3254 30 conform conform VB 39713 3254 31 to to IN 39713 3254 32 the the DT 39713 3254 33 indications indication NNS 39713 3254 34 of of IN 39713 3254 35 the the DT 39713 3254 36 first first JJ 39713 3254 37 . . . 39713 3255 1 The the DT 39713 3255 2 difficulty difficulty NN 39713 3255 3 which which WDT 39713 3255 4 has have VBZ 39713 3255 5 just just RB 39713 3255 6 occupied occupy VBN 39713 3255 7 us -PRON- PRP 39713 3255 8 has have VBZ 39713 3255 9 been be VBN 39713 3255 10 , , , 39713 3255 11 as as IN 39713 3255 12 I -PRON- PRP 39713 3255 13 have have VBP 39713 3255 14 said say VBD 39713 3255 15 , , , 39713 3255 16 often often RB 39713 3255 17 pointed point VBD 39713 3255 18 out out RP 39713 3255 19 ; ; , 39713 3255 20 among among IN 39713 3255 21 the the DT 39713 3255 22 most most RBS 39713 3255 23 recent recent JJ 39713 3255 24 works work NNS 39713 3255 25 in in IN 39713 3255 26 which which WDT 39713 3255 27 it -PRON- PRP 39713 3255 28 is be VBZ 39713 3255 29 considered consider VBN 39713 3255 30 , , , 39713 3255 31 I -PRON- PRP 39713 3255 32 may may MD 39713 3255 33 mention mention VB 39713 3255 34 , , , 39713 3255 35 besides besides IN 39713 3255 36 M. M. NNP 39713 3255 37 Calinon Calinon NNP 39713 3255 38 's 's POS 39713 3255 39 little little JJ 39713 3255 40 book book NN 39713 3255 41 , , , 39713 3255 42 the the DT 39713 3255 43 treatise treatise NN 39713 3255 44 on on IN 39713 3255 45 mechanics mechanic NNS 39713 3255 46 of of IN 39713 3255 47 Andrade Andrade NNP 39713 3255 48 . . . 39713 3256 1 VI VI NNP 39713 3256 2 The the DT 39713 3256 3 second second JJ 39713 3256 4 difficulty difficulty NN 39713 3256 5 has have VBZ 39713 3256 6 up up IN 39713 3256 7 to to IN 39713 3256 8 the the DT 39713 3256 9 present present NN 39713 3256 10 attracted attract VBD 39713 3256 11 much much RB 39713 3256 12 less less JJR 39713 3256 13 attention attention NN 39713 3256 14 ; ; : 39713 3256 15 yet yet CC 39713 3256 16 it -PRON- PRP 39713 3256 17 is be VBZ 39713 3256 18 altogether altogether RB 39713 3256 19 analogous analogous JJ 39713 3256 20 to to IN 39713 3256 21 the the DT 39713 3256 22 preceding preceding NN 39713 3256 23 ; ; : 39713 3256 24 and and CC 39713 3256 25 even even RB 39713 3256 26 , , , 39713 3256 27 logically logically RB 39713 3256 28 , , , 39713 3256 29 I -PRON- PRP 39713 3256 30 should should MD 39713 3256 31 have have VB 39713 3256 32 spoken speak VBN 39713 3256 33 of of IN 39713 3256 34 it -PRON- PRP 39713 3256 35 first first RB 39713 3256 36 . . . 39713 3257 1 Two two CD 39713 3257 2 psychological psychological JJ 39713 3257 3 phenomena phenomenon NNS 39713 3257 4 happen happen VBP 39713 3257 5 in in IN 39713 3257 6 two two CD 39713 3257 7 different different JJ 39713 3257 8 consciousnesses consciousness NNS 39713 3257 9 ; ; : 39713 3257 10 when when WRB 39713 3257 11 I -PRON- PRP 39713 3257 12 say say VBP 39713 3257 13 they -PRON- PRP 39713 3257 14 are be VBP 39713 3257 15 simultaneous simultaneous JJ 39713 3257 16 , , , 39713 3257 17 what what WP 39713 3257 18 do do VBP 39713 3257 19 I -PRON- PRP 39713 3257 20 mean mean VB 39713 3257 21 ? ? . 39713 3258 1 When when WRB 39713 3258 2 I -PRON- PRP 39713 3258 3 say say VBP 39713 3258 4 that that IN 39713 3258 5 a a DT 39713 3258 6 physical physical JJ 39713 3258 7 phenomenon phenomenon NN 39713 3258 8 , , , 39713 3258 9 which which WDT 39713 3258 10 happens happen VBZ 39713 3258 11 outside outside RB 39713 3258 12 of of IN 39713 3258 13 every every DT 39713 3258 14 consciousness consciousness NN 39713 3258 15 , , , 39713 3258 16 is be VBZ 39713 3258 17 before before RB 39713 3258 18 or or CC 39713 3258 19 after after IN 39713 3258 20 a a DT 39713 3258 21 psychological psychological JJ 39713 3258 22 phenomenon phenomenon NN 39713 3258 23 , , , 39713 3258 24 what what WP 39713 3258 25 do do VBP 39713 3258 26 I -PRON- PRP 39713 3258 27 mean mean VB 39713 3258 28 ? ? . 39713 3259 1 In in IN 39713 3259 2 1572 1572 CD 39713 3259 3 , , , 39713 3259 4 Tycho Tycho NNP 39713 3259 5 Brahe Brahe NNP 39713 3259 6 noticed notice VBD 39713 3259 7 in in IN 39713 3259 8 the the DT 39713 3259 9 heavens heavens NNPS 39713 3259 10 a a DT 39713 3259 11 new new JJ 39713 3259 12 star star NN 39713 3259 13 . . . 39713 3260 1 An an DT 39713 3260 2 immense immense JJ 39713 3260 3 conflagration conflagration NN 39713 3260 4 had have VBD 39713 3260 5 happened happen VBN 39713 3260 6 in in IN 39713 3260 7 some some DT 39713 3260 8 far far RB 39713 3260 9 distant distant JJ 39713 3260 10 heavenly heavenly JJ 39713 3260 11 body body NN 39713 3260 12 ; ; : 39713 3260 13 but but CC 39713 3260 14 it -PRON- PRP 39713 3260 15 had have VBD 39713 3260 16 happened happen VBN 39713 3260 17 long long RB 39713 3260 18 before before RB 39713 3260 19 ; ; : 39713 3260 20 at at RB 39713 3260 21 least least RBS 39713 3260 22 two two CD 39713 3260 23 hundred hundred CD 39713 3260 24 years year NNS 39713 3260 25 were be VBD 39713 3260 26 necessary necessary JJ 39713 3260 27 for for IN 39713 3260 28 the the DT 39713 3260 29 light light NN 39713 3260 30 from from IN 39713 3260 31 that that DT 39713 3260 32 star star NN 39713 3260 33 to to TO 39713 3260 34 reach reach VB 39713 3260 35 our -PRON- PRP$ 39713 3260 36 earth earth NN 39713 3260 37 . . . 39713 3261 1 This this DT 39713 3261 2 conflagration conflagration NN 39713 3261 3 therefore therefore RB 39713 3261 4 happened happen VBD 39713 3261 5 before before IN 39713 3261 6 the the DT 39713 3261 7 discovery discovery NN 39713 3261 8 of of IN 39713 3261 9 America America NNP 39713 3261 10 . . . 39713 3262 1 Well well UH 39713 3262 2 , , , 39713 3262 3 when when WRB 39713 3262 4 I -PRON- PRP 39713 3262 5 say say VBP 39713 3262 6 that that DT 39713 3262 7 ; ; : 39713 3262 8 when when WRB 39713 3262 9 , , , 39713 3262 10 considering consider VBG 39713 3262 11 this this DT 39713 3262 12 gigantic gigantic JJ 39713 3262 13 phenomenon phenomenon NN 39713 3262 14 , , , 39713 3262 15 which which WDT 39713 3262 16 perhaps perhaps RB 39713 3262 17 had have VBD 39713 3262 18 no no DT 39713 3262 19 witness witness NN 39713 3262 20 , , , 39713 3262 21 since since IN 39713 3262 22 the the DT 39713 3262 23 satellites satellite NNS 39713 3262 24 of of IN 39713 3262 25 that that DT 39713 3262 26 star star NN 39713 3262 27 were be VBD 39713 3262 28 perhaps perhaps RB 39713 3262 29 uninhabited uninhabited JJ 39713 3262 30 , , , 39713 3262 31 I -PRON- PRP 39713 3262 32 say say VBP 39713 3262 33 this this DT 39713 3262 34 phenomenon phenomenon NN 39713 3262 35 is be VBZ 39713 3262 36 anterior anterior JJ 39713 3262 37 to to IN 39713 3262 38 the the DT 39713 3262 39 formation formation NN 39713 3262 40 of of IN 39713 3262 41 the the DT 39713 3262 42 visual visual JJ 39713 3262 43 image image NN 39713 3262 44 of of IN 39713 3262 45 the the DT 39713 3262 46 isle isle NN 39713 3262 47 of of IN 39713 3262 48 Española Española NNP 39713 3262 49 in in IN 39713 3262 50 the the DT 39713 3262 51 consciousness consciousness NN 39713 3262 52 of of IN 39713 3262 53 Christopher Christopher NNP 39713 3262 54 Columbus Columbus NNP 39713 3262 55 , , , 39713 3262 56 what what WP 39713 3262 57 do do VBP 39713 3262 58 I -PRON- PRP 39713 3262 59 mean mean VB 39713 3262 60 ? ? . 39713 3263 1 A a DT 39713 3263 2 little little JJ 39713 3263 3 reflection reflection NN 39713 3263 4 is be VBZ 39713 3263 5 sufficient sufficient JJ 39713 3263 6 to to TO 39713 3263 7 understand understand VB 39713 3263 8 that that IN 39713 3263 9 all all PDT 39713 3263 10 these these DT 39713 3263 11 affirmations affirmation NNS 39713 3263 12 have have VBP 39713 3263 13 by by IN 39713 3263 14 themselves -PRON- PRP 39713 3263 15 no no DT 39713 3263 16 meaning meaning NN 39713 3263 17 . . . 39713 3264 1 They -PRON- PRP 39713 3264 2 can can MD 39713 3264 3 have have VB 39713 3264 4 one one CD 39713 3264 5 only only RB 39713 3264 6 as as IN 39713 3264 7 the the DT 39713 3264 8 outcome outcome NN 39713 3264 9 of of IN 39713 3264 10 a a DT 39713 3264 11 convention convention NN 39713 3264 12 . . . 39713 3265 1 VII VII NNP 39713 3265 2 We -PRON- PRP 39713 3265 3 should should MD 39713 3265 4 first first RB 39713 3265 5 ask ask VB 39713 3265 6 ourselves -PRON- PRP 39713 3265 7 how how WRB 39713 3265 8 one one PRP 39713 3265 9 could could MD 39713 3265 10 have have VB 39713 3265 11 had have VBN 39713 3265 12 the the DT 39713 3265 13 idea idea NN 39713 3265 14 of of IN 39713 3265 15 putting put VBG 39713 3265 16 into into IN 39713 3265 17 the the DT 39713 3265 18 same same JJ 39713 3265 19 frame frame NN 39713 3265 20 so so RB 39713 3265 21 many many JJ 39713 3265 22 worlds world NNS 39713 3265 23 impenetrable impenetrable JJ 39713 3265 24 to to IN 39713 3265 25 one one CD 39713 3265 26 another another DT 39713 3265 27 . . . 39713 3266 1 We -PRON- PRP 39713 3266 2 should should MD 39713 3266 3 like like VB 39713 3266 4 to to TO 39713 3266 5 represent represent VB 39713 3266 6 to to IN 39713 3266 7 ourselves -PRON- PRP 39713 3266 8 the the DT 39713 3266 9 external external JJ 39713 3266 10 universe universe NN 39713 3266 11 , , , 39713 3266 12 and and CC 39713 3266 13 only only RB 39713 3266 14 by by IN 39713 3266 15 so so RB 39713 3266 16 doing do VBG 39713 3266 17 could could MD 39713 3266 18 we -PRON- PRP 39713 3266 19 feel feel VB 39713 3266 20 that that IN 39713 3266 21 we -PRON- PRP 39713 3266 22 understood understand VBD 39713 3266 23 it -PRON- PRP 39713 3266 24 . . . 39713 3267 1 We -PRON- PRP 39713 3267 2 know know VBP 39713 3267 3 we -PRON- PRP 39713 3267 4 never never RB 39713 3267 5 can can MD 39713 3267 6 attain attain VB 39713 3267 7 this this DT 39713 3267 8 representation representation NN 39713 3267 9 : : : 39713 3267 10 our -PRON- PRP$ 39713 3267 11 weakness weakness NN 39713 3267 12 is be VBZ 39713 3267 13 too too RB 39713 3267 14 great great JJ 39713 3267 15 . . . 39713 3268 1 But but CC 39713 3268 2 at at IN 39713 3268 3 least least JJS 39713 3268 4 we -PRON- PRP 39713 3268 5 desire desire VBP 39713 3268 6 the the DT 39713 3268 7 ability ability NN 39713 3268 8 to to TO 39713 3268 9 conceive conceive VB 39713 3268 10 an an DT 39713 3268 11 infinite infinite JJ 39713 3268 12 intelligence intelligence NN 39713 3268 13 for for IN 39713 3268 14 which which WDT 39713 3268 15 this this DT 39713 3268 16 representation representation NN 39713 3268 17 could could MD 39713 3268 18 be be VB 39713 3268 19 possible possible JJ 39713 3268 20 , , , 39713 3268 21 a a DT 39713 3268 22 sort sort NN 39713 3268 23 of of IN 39713 3268 24 great great JJ 39713 3268 25 consciousness consciousness NN 39713 3268 26 which which WDT 39713 3268 27 should should MD 39713 3268 28 see see VB 39713 3268 29 all all DT 39713 3268 30 , , , 39713 3268 31 and and CC 39713 3268 32 which which WDT 39713 3268 33 should should MD 39713 3268 34 classify classify VB 39713 3268 35 all all DT 39713 3268 36 _ _ NNP 39713 3268 37 in in IN 39713 3268 38 its -PRON- PRP$ 39713 3268 39 time time NN 39713 3268 40 _ _ NNP 39713 3268 41 , , , 39713 3268 42 as as IN 39713 3268 43 we -PRON- PRP 39713 3268 44 classify classify VBP 39713 3268 45 , , , 39713 3268 46 _ _ NNP 39713 3268 47 in in IN 39713 3268 48 our -PRON- PRP$ 39713 3268 49 time time NN 39713 3268 50 _ _ NNP 39713 3268 51 , , , 39713 3268 52 the the DT 39713 3268 53 little little JJ 39713 3268 54 we -PRON- PRP 39713 3268 55 see see VBP 39713 3268 56 . . . 39713 3269 1 This this DT 39713 3269 2 hypothesis hypothesis NN 39713 3269 3 is be VBZ 39713 3269 4 indeed indeed RB 39713 3269 5 crude crude JJ 39713 3269 6 and and CC 39713 3269 7 incomplete incomplete JJ 39713 3269 8 , , , 39713 3269 9 because because IN 39713 3269 10 this this DT 39713 3269 11 supreme supreme NNP 39713 3269 12 intelligence intelligence NN 39713 3269 13 would would MD 39713 3269 14 be be VB 39713 3269 15 only only RB 39713 3269 16 a a DT 39713 3269 17 demigod demigod NN 39713 3269 18 ; ; : 39713 3269 19 infinite infinite JJ 39713 3269 20 in in IN 39713 3269 21 one one CD 39713 3269 22 sense sense NN 39713 3269 23 , , , 39713 3269 24 it -PRON- PRP 39713 3269 25 would would MD 39713 3269 26 be be VB 39713 3269 27 limited limit VBN 39713 3269 28 in in IN 39713 3269 29 another another DT 39713 3269 30 , , , 39713 3269 31 since since IN 39713 3269 32 it -PRON- PRP 39713 3269 33 would would MD 39713 3269 34 have have VB 39713 3269 35 only only RB 39713 3269 36 an an DT 39713 3269 37 imperfect imperfect JJ 39713 3269 38 recollection recollection NN 39713 3269 39 of of IN 39713 3269 40 the the DT 39713 3269 41 past past NN 39713 3269 42 ; ; , 39713 3269 43 and and CC 39713 3269 44 it -PRON- PRP 39713 3269 45 could could MD 39713 3269 46 have have VB 39713 3269 47 no no DT 39713 3269 48 other other JJ 39713 3269 49 , , , 39713 3269 50 since since IN 39713 3269 51 otherwise otherwise RB 39713 3269 52 all all DT 39713 3269 53 recollections recollection NNS 39713 3269 54 would would MD 39713 3269 55 be be VB 39713 3269 56 equally equally RB 39713 3269 57 present present JJ 39713 3269 58 to to IN 39713 3269 59 it -PRON- PRP 39713 3269 60 and and CC 39713 3269 61 for for IN 39713 3269 62 it -PRON- PRP 39713 3269 63 there there EX 39713 3269 64 would would MD 39713 3269 65 be be VB 39713 3269 66 no no DT 39713 3269 67 time time NN 39713 3269 68 . . . 39713 3270 1 And and CC 39713 3270 2 yet yet RB 39713 3270 3 when when WRB 39713 3270 4 we -PRON- PRP 39713 3270 5 speak speak VBP 39713 3270 6 of of IN 39713 3270 7 time time NN 39713 3270 8 , , , 39713 3270 9 for for IN 39713 3270 10 all all DT 39713 3270 11 which which WDT 39713 3270 12 happens happen VBZ 39713 3270 13 outside outside RB 39713 3270 14 of of IN 39713 3270 15 us -PRON- PRP 39713 3270 16 , , , 39713 3270 17 do do VBP 39713 3270 18 we -PRON- PRP 39713 3270 19 not not RB 39713 3270 20 unconsciously unconsciously RB 39713 3270 21 adopt adopt VB 39713 3270 22 this this DT 39713 3270 23 hypothesis hypothesis NN 39713 3270 24 ; ; : 39713 3270 25 do do VBP 39713 3270 26 we -PRON- PRP 39713 3270 27 not not RB 39713 3270 28 put put VB 39713 3270 29 ourselves -PRON- PRP 39713 3270 30 in in IN 39713 3270 31 the the DT 39713 3270 32 place place NN 39713 3270 33 of of IN 39713 3270 34 this this DT 39713 3270 35 imperfect imperfect JJ 39713 3270 36 god god NNP 39713 3270 37 ; ; : 39713 3270 38 and and CC 39713 3270 39 do do VBP 39713 3270 40 not not RB 39713 3270 41 even even RB 39713 3270 42 the the DT 39713 3270 43 atheists atheist NNS 39713 3270 44 put put VBD 39713 3270 45 themselves -PRON- PRP 39713 3270 46 in in IN 39713 3270 47 the the DT 39713 3270 48 place place NN 39713 3270 49 where where WRB 39713 3270 50 god god NNP 39713 3270 51 would would MD 39713 3270 52 be be VB 39713 3270 53 if if IN 39713 3270 54 he -PRON- PRP 39713 3270 55 existed exist VBD 39713 3270 56 ? ? . 39713 3271 1 What what WP 39713 3271 2 I -PRON- PRP 39713 3271 3 have have VBP 39713 3271 4 just just RB 39713 3271 5 said say VBN 39713 3271 6 shows show VBZ 39713 3271 7 us -PRON- PRP 39713 3271 8 , , , 39713 3271 9 perhaps perhaps RB 39713 3271 10 , , , 39713 3271 11 why why WRB 39713 3271 12 we -PRON- PRP 39713 3271 13 have have VBP 39713 3271 14 tried try VBN 39713 3271 15 to to TO 39713 3271 16 put put VB 39713 3271 17 all all DT 39713 3271 18 physical physical JJ 39713 3271 19 phenomena phenomenon NNS 39713 3271 20 into into IN 39713 3271 21 the the DT 39713 3271 22 same same JJ 39713 3271 23 frame frame NN 39713 3271 24 . . . 39713 3272 1 But but CC 39713 3272 2 that that DT 39713 3272 3 can can MD 39713 3272 4 not not RB 39713 3272 5 pass pass VB 39713 3272 6 for for IN 39713 3272 7 a a DT 39713 3272 8 definition definition NN 39713 3272 9 of of IN 39713 3272 10 simultaneity simultaneity NN 39713 3272 11 , , , 39713 3272 12 since since IN 39713 3272 13 this this DT 39713 3272 14 hypothetical hypothetical JJ 39713 3272 15 intelligence intelligence NN 39713 3272 16 , , , 39713 3272 17 even even RB 39713 3272 18 if if IN 39713 3272 19 it -PRON- PRP 39713 3272 20 existed exist VBD 39713 3272 21 , , , 39713 3272 22 would would MD 39713 3272 23 be be VB 39713 3272 24 for for IN 39713 3272 25 us -PRON- PRP 39713 3272 26 impenetrable impenetrable JJ 39713 3272 27 . . . 39713 3273 1 It -PRON- PRP 39713 3273 2 is be VBZ 39713 3273 3 therefore therefore RB 39713 3273 4 necessary necessary JJ 39713 3273 5 to to TO 39713 3273 6 seek seek VB 39713 3273 7 something something NN 39713 3273 8 else else RB 39713 3273 9 . . . 39713 3274 1 VIII viii VB 39713 3274 2 The the DT 39713 3274 3 ordinary ordinary JJ 39713 3274 4 definitions definition NNS 39713 3274 5 which which WDT 39713 3274 6 are be VBP 39713 3274 7 proper proper JJ 39713 3274 8 for for IN 39713 3274 9 psychologic psychologic JJ 39713 3274 10 time time NN 39713 3274 11 would would MD 39713 3274 12 suffice suffice VB 39713 3274 13 us -PRON- PRP 39713 3274 14 no no RB 39713 3274 15 more more RBR 39713 3274 16 . . . 39713 3275 1 Two two CD 39713 3275 2 simultaneous simultaneous JJ 39713 3275 3 psychologic psychologic JJ 39713 3275 4 facts fact NNS 39713 3275 5 are be VBP 39713 3275 6 so so RB 39713 3275 7 closely closely RB 39713 3275 8 bound bind VBN 39713 3275 9 together together RB 39713 3275 10 that that IN 39713 3275 11 analysis analysis NN 39713 3275 12 can can MD 39713 3275 13 not not RB 39713 3275 14 separate separate VB 39713 3275 15 without without IN 39713 3275 16 mutilating mutilate VBG 39713 3275 17 them -PRON- PRP 39713 3275 18 . . . 39713 3276 1 Is be VBZ 39713 3276 2 it -PRON- PRP 39713 3276 3 the the DT 39713 3276 4 same same JJ 39713 3276 5 with with IN 39713 3276 6 two two CD 39713 3276 7 physical physical JJ 39713 3276 8 facts fact NNS 39713 3276 9 ? ? . 39713 3277 1 Is be VBZ 39713 3277 2 not not RB 39713 3277 3 my -PRON- PRP$ 39713 3277 4 present present JJ 39713 3277 5 nearer nearer IN 39713 3277 6 my -PRON- PRP$ 39713 3277 7 past past NN 39713 3277 8 of of IN 39713 3277 9 yesterday yesterday NN 39713 3277 10 than than IN 39713 3277 11 the the DT 39713 3277 12 present present NN 39713 3277 13 of of IN 39713 3277 14 Sirius Sirius NNP 39713 3277 15 ? ? . 39713 3278 1 It -PRON- PRP 39713 3278 2 has have VBZ 39713 3278 3 also also RB 39713 3278 4 been be VBN 39713 3278 5 said say VBN 39713 3278 6 that that IN 39713 3278 7 two two CD 39713 3278 8 facts fact NNS 39713 3278 9 should should MD 39713 3278 10 be be VB 39713 3278 11 regarded regard VBN 39713 3278 12 as as IN 39713 3278 13 simultaneous simultaneous JJ 39713 3278 14 when when WRB 39713 3278 15 the the DT 39713 3278 16 order order NN 39713 3278 17 of of IN 39713 3278 18 their -PRON- PRP$ 39713 3278 19 succession succession NN 39713 3278 20 may may MD 39713 3278 21 be be VB 39713 3278 22 inverted invert VBN 39713 3278 23 at at IN 39713 3278 24 will will NN 39713 3278 25 . . . 39713 3279 1 It -PRON- PRP 39713 3279 2 is be VBZ 39713 3279 3 evident evident JJ 39713 3279 4 that that IN 39713 3279 5 this this DT 39713 3279 6 definition definition NN 39713 3279 7 would would MD 39713 3279 8 not not RB 39713 3279 9 suit suit VB 39713 3279 10 two two CD 39713 3279 11 physical physical JJ 39713 3279 12 facts fact NNS 39713 3279 13 which which WDT 39713 3279 14 happen happen VBP 39713 3279 15 far far RB 39713 3279 16 from from IN 39713 3279 17 one one CD 39713 3279 18 another another DT 39713 3279 19 , , , 39713 3279 20 and and CC 39713 3279 21 that that IN 39713 3279 22 , , , 39713 3279 23 in in IN 39713 3279 24 what what WP 39713 3279 25 concerns concern VBZ 39713 3279 26 them -PRON- PRP 39713 3279 27 , , , 39713 3279 28 we -PRON- PRP 39713 3279 29 no no RB 39713 3279 30 longer long RBR 39713 3279 31 even even RB 39713 3279 32 understand understand VB 39713 3279 33 what what WP 39713 3279 34 this this DT 39713 3279 35 reversibility reversibility NN 39713 3279 36 would would MD 39713 3279 37 be be VB 39713 3279 38 ; ; : 39713 3279 39 besides besides RB 39713 3279 40 , , , 39713 3279 41 succession succession NN 39713 3279 42 itself -PRON- PRP 39713 3279 43 must must MD 39713 3279 44 first first RB 39713 3279 45 be be VB 39713 3279 46 defined define VBN 39713 3279 47 . . . 39713 3280 1 IX ix NN 39713 3280 2 Let let VBP 39713 3280 3 us -PRON- PRP 39713 3280 4 then then RB 39713 3280 5 seek seek VB 39713 3280 6 to to TO 39713 3280 7 give give VB 39713 3280 8 an an DT 39713 3280 9 account account NN 39713 3280 10 of of IN 39713 3280 11 what what WP 39713 3280 12 is be VBZ 39713 3280 13 understood understand VBN 39713 3280 14 by by IN 39713 3280 15 simultaneity simultaneity NN 39713 3280 16 or or CC 39713 3280 17 antecedence antecedence NN 39713 3280 18 , , , 39713 3280 19 and and CC 39713 3280 20 for for IN 39713 3280 21 this this DT 39713 3280 22 let let VB 39713 3280 23 us -PRON- PRP 39713 3280 24 analyze analyze VB 39713 3280 25 some some DT 39713 3280 26 examples example NNS 39713 3280 27 . . . 39713 3281 1 I -PRON- PRP 39713 3281 2 write write VBP 39713 3281 3 a a DT 39713 3281 4 letter letter NN 39713 3281 5 ; ; : 39713 3281 6 it -PRON- PRP 39713 3281 7 is be VBZ 39713 3281 8 afterward afterward RB 39713 3281 9 read read VBN 39713 3281 10 by by IN 39713 3281 11 the the DT 39713 3281 12 friend friend NN 39713 3281 13 to to IN 39713 3281 14 whom whom WP 39713 3281 15 I -PRON- PRP 39713 3281 16 have have VBP 39713 3281 17 addressed address VBN 39713 3281 18 it -PRON- PRP 39713 3281 19 . . . 39713 3282 1 There there EX 39713 3282 2 are be VBP 39713 3282 3 two two CD 39713 3282 4 facts fact NNS 39713 3282 5 which which WDT 39713 3282 6 have have VBP 39713 3282 7 had have VBN 39713 3282 8 for for IN 39713 3282 9 their -PRON- PRP$ 39713 3282 10 theater theater NN 39713 3282 11 two two CD 39713 3282 12 different different JJ 39713 3282 13 consciousnesses consciousness NNS 39713 3282 14 . . . 39713 3283 1 In in IN 39713 3283 2 writing write VBG 39713 3283 3 this this DT 39713 3283 4 letter letter NN 39713 3283 5 I -PRON- PRP 39713 3283 6 have have VBP 39713 3283 7 had have VBN 39713 3283 8 the the DT 39713 3283 9 visual visual JJ 39713 3283 10 image image NN 39713 3283 11 of of IN 39713 3283 12 it -PRON- PRP 39713 3283 13 , , , 39713 3283 14 and and CC 39713 3283 15 my -PRON- PRP$ 39713 3283 16 friend friend NN 39713 3283 17 has have VBZ 39713 3283 18 had have VBN 39713 3283 19 in in IN 39713 3283 20 his -PRON- PRP$ 39713 3283 21 turn turn NN 39713 3283 22 this this DT 39713 3283 23 same same JJ 39713 3283 24 visual visual JJ 39713 3283 25 image image NN 39713 3283 26 in in IN 39713 3283 27 reading read VBG 39713 3283 28 the the DT 39713 3283 29 letter letter NN 39713 3283 30 . . . 39713 3284 1 Though though IN 39713 3284 2 these these DT 39713 3284 3 two two CD 39713 3284 4 facts fact NNS 39713 3284 5 happen happen VBP 39713 3284 6 in in IN 39713 3284 7 impenetrable impenetrable JJ 39713 3284 8 worlds world NNS 39713 3284 9 , , , 39713 3284 10 I -PRON- PRP 39713 3284 11 do do VBP 39713 3284 12 not not RB 39713 3284 13 hesitate hesitate VB 39713 3284 14 to to TO 39713 3284 15 regard regard VB 39713 3284 16 the the DT 39713 3284 17 first first JJ 39713 3284 18 as as IN 39713 3284 19 anterior anterior NN 39713 3284 20 to to IN 39713 3284 21 the the DT 39713 3284 22 second second JJ 39713 3284 23 , , , 39713 3284 24 because because IN 39713 3284 25 I -PRON- PRP 39713 3284 26 believe believe VBP 39713 3284 27 it -PRON- PRP 39713 3284 28 is be VBZ 39713 3284 29 its -PRON- PRP$ 39713 3284 30 cause cause NN 39713 3284 31 . . . 39713 3285 1 I -PRON- PRP 39713 3285 2 hear hear VBP 39713 3285 3 thunder thunder NN 39713 3285 4 , , , 39713 3285 5 and and CC 39713 3285 6 I -PRON- PRP 39713 3285 7 conclude conclude VBP 39713 3285 8 there there EX 39713 3285 9 has have VBZ 39713 3285 10 been be VBN 39713 3285 11 an an DT 39713 3285 12 electric electric JJ 39713 3285 13 discharge discharge NN 39713 3285 14 ; ; : 39713 3285 15 I -PRON- PRP 39713 3285 16 do do VBP 39713 3285 17 not not RB 39713 3285 18 hesitate hesitate VB 39713 3285 19 to to TO 39713 3285 20 consider consider VB 39713 3285 21 the the DT 39713 3285 22 physical physical JJ 39713 3285 23 phenomenon phenomenon NN 39713 3285 24 as as IN 39713 3285 25 anterior anterior NN 39713 3285 26 to to IN 39713 3285 27 the the DT 39713 3285 28 auditory auditory JJ 39713 3285 29 image image NN 39713 3285 30 perceived perceive VBN 39713 3285 31 in in IN 39713 3285 32 my -PRON- PRP$ 39713 3285 33 consciousness consciousness NN 39713 3285 34 , , , 39713 3285 35 because because IN 39713 3285 36 I -PRON- PRP 39713 3285 37 believe believe VBP 39713 3285 38 it -PRON- PRP 39713 3285 39 is be VBZ 39713 3285 40 its -PRON- PRP$ 39713 3285 41 cause cause NN 39713 3285 42 . . . 39713 3286 1 Behold behold VB 39713 3286 2 then then RB 39713 3286 3 the the DT 39713 3286 4 rule rule NN 39713 3286 5 we -PRON- PRP 39713 3286 6 follow follow VBP 39713 3286 7 , , , 39713 3286 8 and and CC 39713 3286 9 the the DT 39713 3286 10 only only JJ 39713 3286 11 one one NN 39713 3286 12 we -PRON- PRP 39713 3286 13 can can MD 39713 3286 14 follow follow VB 39713 3286 15 : : : 39713 3286 16 when when WRB 39713 3286 17 a a DT 39713 3286 18 phenomenon phenomenon NN 39713 3286 19 appears appear VBZ 39713 3286 20 to to IN 39713 3286 21 us -PRON- PRP 39713 3286 22 as as IN 39713 3286 23 the the DT 39713 3286 24 cause cause NN 39713 3286 25 of of IN 39713 3286 26 another another DT 39713 3286 27 , , , 39713 3286 28 we -PRON- PRP 39713 3286 29 regard regard VBP 39713 3286 30 it -PRON- PRP 39713 3286 31 as as IN 39713 3286 32 anterior anterior NNP 39713 3286 33 . . . 39713 3287 1 It -PRON- PRP 39713 3287 2 is be VBZ 39713 3287 3 therefore therefore RB 39713 3287 4 by by IN 39713 3287 5 cause cause NN 39713 3287 6 that that IN 39713 3287 7 we -PRON- PRP 39713 3287 8 define define VBP 39713 3287 9 time time NN 39713 3287 10 ; ; : 39713 3287 11 but but CC 39713 3287 12 most most RBS 39713 3287 13 often often RB 39713 3287 14 , , , 39713 3287 15 when when WRB 39713 3287 16 two two CD 39713 3287 17 facts fact NNS 39713 3287 18 appear appear VBP 39713 3287 19 to to IN 39713 3287 20 us -PRON- PRP 39713 3287 21 bound bind VBN 39713 3287 22 by by IN 39713 3287 23 a a DT 39713 3287 24 constant constant JJ 39713 3287 25 relation relation NN 39713 3287 26 , , , 39713 3287 27 how how WRB 39713 3287 28 do do VBP 39713 3287 29 we -PRON- PRP 39713 3287 30 recognize recognize VB 39713 3287 31 which which WDT 39713 3287 32 is be VBZ 39713 3287 33 the the DT 39713 3287 34 cause cause NN 39713 3287 35 and and CC 39713 3287 36 which which WDT 39713 3287 37 the the DT 39713 3287 38 effect effect NN 39713 3287 39 ? ? . 39713 3288 1 We -PRON- PRP 39713 3288 2 assume assume VBP 39713 3288 3 that that IN 39713 3288 4 the the DT 39713 3288 5 anterior anterior NNP 39713 3288 6 fact fact NN 39713 3288 7 , , , 39713 3288 8 the the DT 39713 3288 9 antecedent antecedent NN 39713 3288 10 , , , 39713 3288 11 is be VBZ 39713 3288 12 the the DT 39713 3288 13 cause cause NN 39713 3288 14 of of IN 39713 3288 15 the the DT 39713 3288 16 other other JJ 39713 3288 17 , , , 39713 3288 18 of of IN 39713 3288 19 the the DT 39713 3288 20 consequent consequent NN 39713 3288 21 . . . 39713 3289 1 It -PRON- PRP 39713 3289 2 is be VBZ 39713 3289 3 then then RB 39713 3289 4 by by IN 39713 3289 5 time time NN 39713 3289 6 that that WDT 39713 3289 7 we -PRON- PRP 39713 3289 8 define define VBP 39713 3289 9 cause cause IN 39713 3289 10 . . . 39713 3290 1 How how WRB 39713 3290 2 save save VB 39713 3290 3 ourselves -PRON- PRP 39713 3290 4 from from IN 39713 3290 5 this this DT 39713 3290 6 _ _ NNP 39713 3290 7 petitio petitio NNP 39713 3290 8 principii principii NN 39713 3290 9 _ _ NNP 39713 3290 10 ? ? . 39713 3291 1 We -PRON- PRP 39713 3291 2 say say VBP 39713 3291 3 now now RB 39713 3291 4 _ _ NNP 39713 3291 5 post post FW 39713 3291 6 hoc hoc FW 39713 3291 7 , , , 39713 3291 8 ergo ergo NNP 39713 3291 9 propter propter NNP 39713 3291 10 hoc hoc FW 39713 3291 11 _ _ NNP 39713 3291 12 ; ; : 39713 3291 13 now now RB 39713 3291 14 _ _ NNP 39713 3291 15 propter propter NN 39713 3291 16 hoc hoc FW 39713 3291 17 , , , 39713 3291 18 ergo ergo NNP 39713 3291 19 post post FW 39713 3291 20 hoc hoc FW 39713 3291 21 _ _ NNP 39713 3291 22 ; ; : 39713 3291 23 shall shall MD 39713 3291 24 we -PRON- PRP 39713 3291 25 escape escape VB 39713 3291 26 from from IN 39713 3291 27 this this DT 39713 3291 28 vicious vicious JJ 39713 3291 29 circle circle NN 39713 3291 30 ? ? . 39713 3292 1 X X NNPS 39713 3292 2 Let let VB 39713 3292 3 us -PRON- PRP 39713 3292 4 see see VB 39713 3292 5 , , , 39713 3292 6 not not RB 39713 3292 7 how how WRB 39713 3292 8 we -PRON- PRP 39713 3292 9 succeed succeed VBP 39713 3292 10 in in IN 39713 3292 11 escaping escaping NN 39713 3292 12 , , , 39713 3292 13 for for IN 39713 3292 14 we -PRON- PRP 39713 3292 15 do do VBP 39713 3292 16 not not RB 39713 3292 17 completely completely RB 39713 3292 18 succeed succeed VB 39713 3292 19 , , , 39713 3292 20 but but CC 39713 3292 21 how how WRB 39713 3292 22 we -PRON- PRP 39713 3292 23 try try VBP 39713 3292 24 to to TO 39713 3292 25 escape escape VB 39713 3292 26 . . . 39713 3293 1 I -PRON- PRP 39713 3293 2 execute execute VBP 39713 3293 3 a a DT 39713 3293 4 voluntary voluntary JJ 39713 3293 5 act act NN 39713 3293 6 _ _ NNP 39713 3293 7 A A NNP 39713 3293 8 _ _ NNP 39713 3293 9 and and CC 39713 3293 10 I -PRON- PRP 39713 3293 11 feel feel VBP 39713 3293 12 afterward afterward RB 39713 3293 13 a a DT 39713 3293 14 sensation sensation NN 39713 3293 15 _ _ NNP 39713 3293 16 D D NNP 39713 3293 17 _ _ NNP 39713 3293 18 , , , 39713 3293 19 which which WDT 39713 3293 20 I -PRON- PRP 39713 3293 21 regard regard VBP 39713 3293 22 as as IN 39713 3293 23 a a DT 39713 3293 24 consequence consequence NN 39713 3293 25 of of IN 39713 3293 26 the the DT 39713 3293 27 act act NN 39713 3293 28 _ _ NNP 39713 3293 29 A A NNP 39713 3293 30 _ _ NNP 39713 3293 31 ; ; : 39713 3293 32 on on IN 39713 3293 33 the the DT 39713 3293 34 other other JJ 39713 3293 35 hand hand NN 39713 3293 36 , , , 39713 3293 37 for for IN 39713 3293 38 whatever whatever WDT 39713 3293 39 reason reason NN 39713 3293 40 , , , 39713 3293 41 I -PRON- PRP 39713 3293 42 infer infer VBP 39713 3293 43 that that IN 39713 3293 44 this this DT 39713 3293 45 consequence consequence NN 39713 3293 46 is be VBZ 39713 3293 47 not not RB 39713 3293 48 immediate immediate JJ 39713 3293 49 , , , 39713 3293 50 but but CC 39713 3293 51 that that IN 39713 3293 52 outside outside IN 39713 3293 53 my -PRON- PRP$ 39713 3293 54 consciousness consciousness NN 39713 3293 55 two two CD 39713 3293 56 facts fact NNS 39713 3293 57 _ _ NNP 39713 3293 58 B B NNP 39713 3293 59 _ _ NNP 39713 3293 60 and and CC 39713 3293 61 _ _ NNP 39713 3293 62 C C NNP 39713 3293 63 _ _ NNP 39713 3293 64 , , , 39713 3293 65 which which WDT 39713 3293 66 I -PRON- PRP 39713 3293 67 have have VBP 39713 3293 68 not not RB 39713 3293 69 witnessed witness VBN 39713 3293 70 , , , 39713 3293 71 have have VBP 39713 3293 72 happened happen VBN 39713 3293 73 , , , 39713 3293 74 and and CC 39713 3293 75 in in IN 39713 3293 76 such such PDT 39713 3293 77 a a DT 39713 3293 78 way way NN 39713 3293 79 that that WDT 39713 3293 80 _ _ NNP 39713 3293 81 B B NNP 39713 3293 82 _ _ NNP 39713 3293 83 is be VBZ 39713 3293 84 the the DT 39713 3293 85 effect effect NN 39713 3293 86 of of IN 39713 3293 87 _ _ NNP 39713 3293 88 A A NNP 39713 3293 89 _ _ NNP 39713 3293 90 , , , 39713 3293 91 that that IN 39713 3293 92 _ _ NNP 39713 3293 93 C C NNP 39713 3293 94 _ _ NNP 39713 3293 95 is be VBZ 39713 3293 96 the the DT 39713 3293 97 effect effect NN 39713 3293 98 of of IN 39713 3293 99 _ _ NNP 39713 3293 100 B B NNP 39713 3293 101 _ _ NNP 39713 3293 102 , , , 39713 3293 103 and and CC 39713 3293 104 _ _ NNP 39713 3293 105 D D NNP 39713 3293 106 _ _ NNP 39713 3293 107 of of IN 39713 3293 108 _ _ NNP 39713 3293 109 C C NNP 39713 3293 110 _ _ NNP 39713 3293 111 . . . 39713 3294 1 But but CC 39713 3294 2 why why WRB 39713 3294 3 ? ? . 39713 3295 1 If if IN 39713 3295 2 I -PRON- PRP 39713 3295 3 think think VBP 39713 3295 4 I -PRON- PRP 39713 3295 5 have have VBP 39713 3295 6 reason reason NN 39713 3295 7 to to TO 39713 3295 8 regard regard VB 39713 3295 9 the the DT 39713 3295 10 four four CD 39713 3295 11 facts fact NNS 39713 3295 12 _ _ NNP 39713 3295 13 A A NNP 39713 3295 14 _ _ NNP 39713 3295 15 , , , 39713 3295 16 _ _ NNP 39713 3295 17 B B NNP 39713 3295 18 _ _ NNP 39713 3295 19 , , , 39713 3295 20 _ _ NNP 39713 3295 21 C C NNP 39713 3295 22 _ _ NNP 39713 3295 23 , , , 39713 3295 24 _ _ NNP 39713 3295 25 D D NNP 39713 3295 26 _ _ NNP 39713 3295 27 , , , 39713 3295 28 as as IN 39713 3295 29 bound bind VBN 39713 3295 30 to to IN 39713 3295 31 one one CD 39713 3295 32 another another DT 39713 3295 33 by by IN 39713 3295 34 a a DT 39713 3295 35 causal causal JJ 39713 3295 36 connection connection NN 39713 3295 37 , , , 39713 3295 38 why why WRB 39713 3295 39 range range VB 39713 3295 40 them -PRON- PRP 39713 3295 41 in in IN 39713 3295 42 the the DT 39713 3295 43 causal causal JJ 39713 3295 44 order order NN 39713 3295 45 _ _ NNP 39713 3295 46 A A NNP 39713 3295 47 B B NNP 39713 3295 48 C C NNP 39713 3295 49 D D NNP 39713 3295 50 _ _ NNP 39713 3295 51 , , , 39713 3295 52 and and CC 39713 3295 53 at at IN 39713 3295 54 the the DT 39713 3295 55 same same JJ 39713 3295 56 time time NN 39713 3295 57 in in IN 39713 3295 58 the the DT 39713 3295 59 chronologic chronologic JJ 39713 3295 60 order order NN 39713 3295 61 _ _ NNP 39713 3295 62 A A NNP 39713 3295 63 B B NNP 39713 3295 64 C C NNP 39713 3295 65 D D NNP 39713 3295 66 _ _ NNP 39713 3295 67 , , , 39713 3295 68 rather rather RB 39713 3295 69 than than IN 39713 3295 70 in in IN 39713 3295 71 any any DT 39713 3295 72 other other JJ 39713 3295 73 order order NN 39713 3295 74 ? ? . 39713 3296 1 I -PRON- PRP 39713 3296 2 clearly clearly RB 39713 3296 3 see see VBP 39713 3296 4 that that IN 39713 3296 5 in in IN 39713 3296 6 the the DT 39713 3296 7 act act NN 39713 3296 8 _ _ NNP 39713 3296 9 A A NNP 39713 3296 10 _ _ NNP 39713 3296 11 I -PRON- PRP 39713 3296 12 have have VBP 39713 3296 13 the the DT 39713 3296 14 feeling feeling NN 39713 3296 15 of of IN 39713 3296 16 having have VBG 39713 3296 17 been be VBN 39713 3296 18 active active JJ 39713 3296 19 , , , 39713 3296 20 while while IN 39713 3296 21 in in IN 39713 3296 22 undergoing undergo VBG 39713 3296 23 the the DT 39713 3296 24 sensation sensation NN 39713 3296 25 _ _ NNP 39713 3296 26 D D NNP 39713 3296 27 _ _ NNP 39713 3296 28 I -PRON- PRP 39713 3296 29 have have VBP 39713 3296 30 that that DT 39713 3296 31 of of IN 39713 3296 32 having have VBG 39713 3296 33 been be VBN 39713 3296 34 passive passive JJ 39713 3296 35 . . . 39713 3297 1 This this DT 39713 3297 2 is be VBZ 39713 3297 3 why why WRB 39713 3297 4 I -PRON- PRP 39713 3297 5 regard regard VBP 39713 3297 6 _ _ NNP 39713 3297 7 A A NNP 39713 3297 8 _ _ NNP 39713 3297 9 as as IN 39713 3297 10 the the DT 39713 3297 11 initial initial JJ 39713 3297 12 cause cause NN 39713 3297 13 and and CC 39713 3297 14 _ _ NNP 39713 3297 15 D D NNP 39713 3297 16 _ _ NNP 39713 3297 17 as as IN 39713 3297 18 the the DT 39713 3297 19 ultimate ultimate JJ 39713 3297 20 effect effect NN 39713 3297 21 ; ; : 39713 3297 22 this this DT 39713 3297 23 is be VBZ 39713 3297 24 why why WRB 39713 3297 25 I -PRON- PRP 39713 3297 26 put put VBP 39713 3297 27 _ _ NNP 39713 3297 28 A A NNP 39713 3297 29 _ _ NNP 39713 3297 30 at at IN 39713 3297 31 the the DT 39713 3297 32 beginning beginning NN 39713 3297 33 of of IN 39713 3297 34 the the DT 39713 3297 35 chain chain NN 39713 3297 36 and and CC 39713 3297 37 _ _ NNP 39713 3297 38 D D NNP 39713 3297 39 _ _ NNP 39713 3297 40 at at IN 39713 3297 41 the the DT 39713 3297 42 end end NN 39713 3297 43 ; ; : 39713 3297 44 but but CC 39713 3297 45 why why WRB 39713 3297 46 put put VB 39713 3297 47 _ _ NNP 39713 3297 48 B B NNP 39713 3297 49 _ _ NNP 39713 3297 50 before before IN 39713 3297 51 _ _ NNP 39713 3297 52 C C NNP 39713 3297 53 _ _ NNP 39713 3297 54 rather rather RB 39713 3297 55 than than IN 39713 3297 56 _ _ NNP 39713 3297 57 C C NNP 39713 3297 58 _ _ NNP 39713 3297 59 before before IN 39713 3297 60 _ _ NNP 39713 3297 61 B B NNP 39713 3297 62 _ _ NNP 39713 3297 63 ? ? . 39713 3298 1 If if IN 39713 3298 2 this this DT 39713 3298 3 question question NN 39713 3298 4 is be VBZ 39713 3298 5 put put VBN 39713 3298 6 , , , 39713 3298 7 the the DT 39713 3298 8 reply reply NN 39713 3298 9 ordinarily ordinarily RB 39713 3298 10 is be VBZ 39713 3298 11 : : : 39713 3298 12 we -PRON- PRP 39713 3298 13 know know VBP 39713 3298 14 that that IN 39713 3298 15 it -PRON- PRP 39713 3298 16 is be VBZ 39713 3298 17 _ _ NNP 39713 3298 18 B B NNP 39713 3298 19 _ _ NNP 39713 3298 20 which which WDT 39713 3298 21 is be VBZ 39713 3298 22 the the DT 39713 3298 23 cause cause NN 39713 3298 24 of of IN 39713 3298 25 _ _ NNP 39713 3298 26 C C NNP 39713 3298 27 _ _ NNP 39713 3298 28 because because IN 39713 3298 29 we -PRON- PRP 39713 3298 30 always always RB 39713 3298 31 see see VBP 39713 3298 32 _ _ NNP 39713 3298 33 B B NNP 39713 3298 34 _ _ NNP 39713 3298 35 happen happen VB 39713 3298 36 before before IN 39713 3298 37 _ _ NNP 39713 3298 38 C C NNP 39713 3298 39 _ _ NNP 39713 3298 40 . . . 39713 3299 1 These these DT 39713 3299 2 two two CD 39713 3299 3 phenomena phenomenon NNS 39713 3299 4 , , , 39713 3299 5 when when WRB 39713 3299 6 witnessed witness VBN 39713 3299 7 , , , 39713 3299 8 happen happen VB 39713 3299 9 in in IN 39713 3299 10 a a DT 39713 3299 11 certain certain JJ 39713 3299 12 order order NN 39713 3299 13 ; ; : 39713 3299 14 when when WRB 39713 3299 15 analogous analogous JJ 39713 3299 16 phenomena phenomenon NNS 39713 3299 17 happen happen VBP 39713 3299 18 without without IN 39713 3299 19 witness witness NN 39713 3299 20 , , , 39713 3299 21 there there EX 39713 3299 22 is be VBZ 39713 3299 23 no no DT 39713 3299 24 reason reason NN 39713 3299 25 to to TO 39713 3299 26 invert invert VB 39713 3299 27 this this DT 39713 3299 28 order order NN 39713 3299 29 . . . 39713 3300 1 Doubtless doubtless RB 39713 3300 2 , , , 39713 3300 3 but but CC 39713 3300 4 take take VB 39713 3300 5 care care NN 39713 3300 6 ; ; : 39713 3300 7 we -PRON- PRP 39713 3300 8 never never RB 39713 3300 9 know know VBP 39713 3300 10 directly directly RB 39713 3300 11 the the DT 39713 3300 12 physical physical JJ 39713 3300 13 phenomena phenomenon NNS 39713 3300 14 _ _ NNP 39713 3300 15 B B NNP 39713 3300 16 _ _ NNP 39713 3300 17 and and CC 39713 3300 18 _ _ NNP 39713 3300 19 C C NNP 39713 3300 20 _ _ NNP 39713 3300 21 . . . 39713 3301 1 What what WP 39713 3301 2 we -PRON- PRP 39713 3301 3 know know VBP 39713 3301 4 are be VBP 39713 3301 5 sensations sensation NNS 39713 3301 6 _ _ NNP 39713 3301 7 B B NNP 39713 3301 8 ' ' '' 39713 3301 9 _ _ NNP 39713 3301 10 and and CC 39713 3301 11 _ _ NNP 39713 3301 12 C C NNP 39713 3301 13 ' ' POS 39713 3301 14 _ _ NNP 39713 3301 15 produced produce VBD 39713 3301 16 respectively respectively RB 39713 3301 17 by by IN 39713 3301 18 _ _ NNP 39713 3301 19 B B NNP 39713 3301 20 _ _ NNP 39713 3301 21 and and CC 39713 3301 22 _ _ NNP 39713 3301 23 C C NNP 39713 3301 24 _ _ NNP 39713 3301 25 . . . 39713 3302 1 Our -PRON- PRP$ 39713 3302 2 consciousness consciousness NN 39713 3302 3 tells tell VBZ 39713 3302 4 us -PRON- PRP 39713 3302 5 immediately immediately RB 39713 3302 6 that that IN 39713 3302 7 _ _ NNP 39713 3302 8 B B NNP 39713 3302 9 ' ' POS 39713 3302 10 _ _ NNP 39713 3302 11 precedes precede NNS 39713 3302 12 _ _ NNP 39713 3302 13 C C NNP 39713 3302 14 ' ' '' 39713 3302 15 _ _ NNP 39713 3302 16 and and CC 39713 3302 17 we -PRON- PRP 39713 3302 18 suppose suppose VBP 39713 3302 19 that that IN 39713 3302 20 _ _ NNP 39713 3302 21 B B NNP 39713 3302 22 _ _ NNP 39713 3302 23 and and CC 39713 3302 24 _ _ NNP 39713 3302 25 C C NNP 39713 3302 26 _ _ NNP 39713 3302 27 succeed succeed VB 39713 3302 28 one one CD 39713 3302 29 another another DT 39713 3302 30 in in IN 39713 3302 31 the the DT 39713 3302 32 same same JJ 39713 3302 33 order order NN 39713 3302 34 . . . 39713 3303 1 This this DT 39713 3303 2 rule rule NN 39713 3303 3 appears appear VBZ 39713 3303 4 in in IN 39713 3303 5 fact fact NN 39713 3303 6 very very RB 39713 3303 7 natural natural JJ 39713 3303 8 , , , 39713 3303 9 and and CC 39713 3303 10 yet yet RB 39713 3303 11 we -PRON- PRP 39713 3303 12 are be VBP 39713 3303 13 often often RB 39713 3303 14 led lead VBN 39713 3303 15 to to TO 39713 3303 16 depart depart VB 39713 3303 17 from from IN 39713 3303 18 it -PRON- PRP 39713 3303 19 . . . 39713 3304 1 We -PRON- PRP 39713 3304 2 hear hear VBP 39713 3304 3 the the DT 39713 3304 4 sound sound NN 39713 3304 5 of of IN 39713 3304 6 the the DT 39713 3304 7 thunder thunder NN 39713 3304 8 only only RB 39713 3304 9 some some DT 39713 3304 10 seconds second NNS 39713 3304 11 after after IN 39713 3304 12 the the DT 39713 3304 13 electric electric JJ 39713 3304 14 discharge discharge NN 39713 3304 15 of of IN 39713 3304 16 the the DT 39713 3304 17 cloud cloud NN 39713 3304 18 . . . 39713 3305 1 Of of IN 39713 3305 2 two two CD 39713 3305 3 flashes flash NNS 39713 3305 4 of of IN 39713 3305 5 lightning lightning NN 39713 3305 6 , , , 39713 3305 7 the the DT 39713 3305 8 one one CD 39713 3305 9 distant distant NN 39713 3305 10 , , , 39713 3305 11 the the DT 39713 3305 12 other other JJ 39713 3305 13 near near NN 39713 3305 14 , , , 39713 3305 15 can can MD 39713 3305 16 not not RB 39713 3305 17 the the DT 39713 3305 18 first first JJ 39713 3305 19 be be VB 39713 3305 20 anterior anterior JJ 39713 3305 21 to to IN 39713 3305 22 the the DT 39713 3305 23 second second JJ 39713 3305 24 , , , 39713 3305 25 even even RB 39713 3305 26 though though IN 39713 3305 27 the the DT 39713 3305 28 sound sound NN 39713 3305 29 of of IN 39713 3305 30 the the DT 39713 3305 31 second second NN 39713 3305 32 comes come VBZ 39713 3305 33 to to IN 39713 3305 34 us -PRON- PRP 39713 3305 35 before before IN 39713 3305 36 that that DT 39713 3305 37 of of IN 39713 3305 38 the the DT 39713 3305 39 first first JJ 39713 3305 40 ? ? . 39713 3306 1 XI XI NNP 39713 3306 2 Another another DT 39713 3306 3 difficulty difficulty NN 39713 3306 4 ; ; : 39713 3306 5 have have VBP 39713 3306 6 we -PRON- PRP 39713 3306 7 really really RB 39713 3306 8 the the DT 39713 3306 9 right right NN 39713 3306 10 to to TO 39713 3306 11 speak speak VB 39713 3306 12 of of IN 39713 3306 13 the the DT 39713 3306 14 cause cause NN 39713 3306 15 of of IN 39713 3306 16 a a DT 39713 3306 17 phenomenon phenomenon NN 39713 3306 18 ? ? . 39713 3307 1 If if IN 39713 3307 2 all all PDT 39713 3307 3 the the DT 39713 3307 4 parts part NNS 39713 3307 5 of of IN 39713 3307 6 the the DT 39713 3307 7 universe universe NN 39713 3307 8 are be VBP 39713 3307 9 interchained interchaine VBN 39713 3307 10 in in IN 39713 3307 11 a a DT 39713 3307 12 certain certain JJ 39713 3307 13 measure measure NN 39713 3307 14 , , , 39713 3307 15 any any DT 39713 3307 16 one one CD 39713 3307 17 phenomenon phenomenon NN 39713 3307 18 will will MD 39713 3307 19 not not RB 39713 3307 20 be be VB 39713 3307 21 the the DT 39713 3307 22 effect effect NN 39713 3307 23 of of IN 39713 3307 24 a a DT 39713 3307 25 single single JJ 39713 3307 26 cause cause NN 39713 3307 27 , , , 39713 3307 28 but but CC 39713 3307 29 the the DT 39713 3307 30 resultant resultant NN 39713 3307 31 of of IN 39713 3307 32 causes cause VBZ 39713 3307 33 infinitely infinitely RB 39713 3307 34 numerous numerous JJ 39713 3307 35 ; ; : 39713 3307 36 it -PRON- PRP 39713 3307 37 is be VBZ 39713 3307 38 , , , 39713 3307 39 one one CD 39713 3307 40 often often RB 39713 3307 41 says say VBZ 39713 3307 42 , , , 39713 3307 43 the the DT 39713 3307 44 consequence consequence NN 39713 3307 45 of of IN 39713 3307 46 the the DT 39713 3307 47 state state NN 39713 3307 48 of of IN 39713 3307 49 the the DT 39713 3307 50 universe universe NN 39713 3307 51 a a DT 39713 3307 52 moment moment NN 39713 3307 53 before before RB 39713 3307 54 . . . 39713 3308 1 How how WRB 39713 3308 2 enunciate enunciate VBP 39713 3308 3 rules rule NNS 39713 3308 4 applicable applicable JJ 39713 3308 5 to to IN 39713 3308 6 circumstances circumstance NNS 39713 3308 7 so so RB 39713 3308 8 complex complex JJ 39713 3308 9 ? ? . 39713 3309 1 And and CC 39713 3309 2 yet yet RB 39713 3309 3 it -PRON- PRP 39713 3309 4 is be VBZ 39713 3309 5 only only RB 39713 3309 6 thus thus RB 39713 3309 7 that that IN 39713 3309 8 these these DT 39713 3309 9 rules rule NNS 39713 3309 10 can can MD 39713 3309 11 be be VB 39713 3309 12 general general JJ 39713 3309 13 and and CC 39713 3309 14 rigorous rigorous JJ 39713 3309 15 . . . 39713 3310 1 Not not RB 39713 3310 2 to to TO 39713 3310 3 lose lose VB 39713 3310 4 ourselves -PRON- PRP 39713 3310 5 in in IN 39713 3310 6 this this DT 39713 3310 7 infinite infinite JJ 39713 3310 8 complexity complexity NN 39713 3310 9 , , , 39713 3310 10 let let VB 39713 3310 11 us -PRON- PRP 39713 3310 12 make make VB 39713 3310 13 a a DT 39713 3310 14 simpler simple JJR 39713 3310 15 hypothesis hypothesis NN 39713 3310 16 . . . 39713 3311 1 Consider consider VB 39713 3311 2 three three CD 39713 3311 3 stars star NNS 39713 3311 4 , , , 39713 3311 5 for for IN 39713 3311 6 example example NN 39713 3311 7 , , , 39713 3311 8 the the DT 39713 3311 9 sun sun NN 39713 3311 10 , , , 39713 3311 11 Jupiter Jupiter NNP 39713 3311 12 and and CC 39713 3311 13 Saturn Saturn NNP 39713 3311 14 ; ; : 39713 3311 15 but but CC 39713 3311 16 , , , 39713 3311 17 for for IN 39713 3311 18 greater great JJR 39713 3311 19 simplicity simplicity NN 39713 3311 20 , , , 39713 3311 21 regard regard VB 39713 3311 22 them -PRON- PRP 39713 3311 23 as as IN 39713 3311 24 reduced reduce VBN 39713 3311 25 to to IN 39713 3311 26 material material JJ 39713 3311 27 points point NNS 39713 3311 28 and and CC 39713 3311 29 isolated isolate VBN 39713 3311 30 from from IN 39713 3311 31 the the DT 39713 3311 32 rest rest NN 39713 3311 33 of of IN 39713 3311 34 the the DT 39713 3311 35 world world NN 39713 3311 36 . . . 39713 3312 1 The the DT 39713 3312 2 positions position NNS 39713 3312 3 and and CC 39713 3312 4 the the DT 39713 3312 5 velocities velocity NNS 39713 3312 6 of of IN 39713 3312 7 three three CD 39713 3312 8 bodies body NNS 39713 3312 9 at at IN 39713 3312 10 a a DT 39713 3312 11 given give VBN 39713 3312 12 instant instant NN 39713 3312 13 suffice suffice NN 39713 3312 14 to to TO 39713 3312 15 determine determine VB 39713 3312 16 their -PRON- PRP$ 39713 3312 17 positions position NNS 39713 3312 18 and and CC 39713 3312 19 velocities velocity NNS 39713 3312 20 at at IN 39713 3312 21 the the DT 39713 3312 22 following follow VBG 39713 3312 23 instant instant NN 39713 3312 24 , , , 39713 3312 25 and and CC 39713 3312 26 consequently consequently RB 39713 3312 27 at at IN 39713 3312 28 any any DT 39713 3312 29 instant instant NN 39713 3312 30 . . . 39713 3313 1 Their -PRON- PRP$ 39713 3313 2 positions position NNS 39713 3313 3 at at IN 39713 3313 4 the the DT 39713 3313 5 instant instant JJ 39713 3313 6 t t NN 39713 3313 7 determine determine VBP 39713 3313 8 their -PRON- PRP$ 39713 3313 9 positions position NNS 39713 3313 10 at at IN 39713 3313 11 the the DT 39713 3313 12 instant instant NN 39713 3313 13 _ _ NNP 39713 3313 14 t t NNP 39713 3313 15 _ _ NNP 39713 3313 16 + + NNP 39713 3313 17 _ _ NNP 39713 3313 18 h h NNP 39713 3313 19 _ _ NNP 39713 3313 20 as as RB 39713 3313 21 well well RB 39713 3313 22 as as IN 39713 3313 23 their -PRON- PRP$ 39713 3313 24 positions position NNS 39713 3313 25 at at IN 39713 3313 26 the the DT 39713 3313 27 instant instant NN 39713 3313 28 _ _ NNP 39713 3313 29 t t NNP 39713 3313 30 _ _ NNP 39713 3313 31 - - HYPH 39713 3313 32 _ _ NNP 39713 3313 33 h h NNP 39713 3313 34 _ _ NNP 39713 3313 35 . . . 39713 3314 1 Even even RB 39713 3314 2 more more RBR 39713 3314 3 ; ; : 39713 3314 4 the the DT 39713 3314 5 position position NN 39713 3314 6 of of IN 39713 3314 7 Jupiter Jupiter NNP 39713 3314 8 at at IN 39713 3314 9 the the DT 39713 3314 10 instant instant NN 39713 3314 11 _ _ NNP 39713 3314 12 t t NNP 39713 3314 13 _ _ NNP 39713 3314 14 , , , 39713 3314 15 together together RB 39713 3314 16 with with IN 39713 3314 17 that that DT 39713 3314 18 of of IN 39713 3314 19 Saturn Saturn NNP 39713 3314 20 at at IN 39713 3314 21 the the DT 39713 3314 22 instant instant NN 39713 3314 23 _ _ NNP 39713 3314 24 t t NNP 39713 3314 25 _ _ NNP 39713 3314 26 + + NNP 39713 3314 27 _ _ NNP 39713 3314 28 a a DT 39713 3314 29 _ _ NNP 39713 3314 30 , , , 39713 3314 31 determines determine VBZ 39713 3314 32 the the DT 39713 3314 33 position position NN 39713 3314 34 of of IN 39713 3314 35 Jupiter Jupiter NNP 39713 3314 36 at at IN 39713 3314 37 any any DT 39713 3314 38 instant instant NN 39713 3314 39 and and CC 39713 3314 40 that that DT 39713 3314 41 of of IN 39713 3314 42 Saturn Saturn NNP 39713 3314 43 at at IN 39713 3314 44 any any DT 39713 3314 45 instant instant NN 39713 3314 46 . . . 39713 3315 1 The the DT 39713 3315 2 aggregate aggregate NN 39713 3315 3 of of IN 39713 3315 4 positions position NNS 39713 3315 5 occupied occupy VBN 39713 3315 6 by by IN 39713 3315 7 Jupiter Jupiter NNP 39713 3315 8 at at IN 39713 3315 9 the the DT 39713 3315 10 instant instant NN 39713 3315 11 _ _ NNP 39713 3315 12 t t NNP 39713 3315 13 _ _ NNP 39713 3315 14 + + NNP 39713 3315 15 _ _ NNP 39713 3315 16 e e NNP 39713 3315 17 _ _ NNP 39713 3315 18 and and CC 39713 3315 19 Saturn Saturn NNP 39713 3315 20 at at IN 39713 3315 21 the the DT 39713 3315 22 instant instant NN 39713 3315 23 _ _ NNP 39713 3315 24 t t NNP 39713 3315 25 _ _ NNP 39713 3315 26 + + NNP 39713 3315 27 _ _ NNP 39713 3315 28 a a DT 39713 3315 29 _ _ NNP 39713 3315 30 + + NNP 39713 3315 31 _ _ NNP 39713 3315 32 e e NNP 39713 3315 33 _ _ NNP 39713 3315 34 is be VBZ 39713 3315 35 bound bind VBN 39713 3315 36 to to IN 39713 3315 37 the the DT 39713 3315 38 aggregate aggregate NN 39713 3315 39 of of IN 39713 3315 40 positions position NNS 39713 3315 41 occupied occupy VBN 39713 3315 42 by by IN 39713 3315 43 Jupiter Jupiter NNP 39713 3315 44 at at IN 39713 3315 45 the the DT 39713 3315 46 instant instant NN 39713 3315 47 _ _ NNP 39713 3315 48 t t NNP 39713 3315 49 _ _ NNP 39713 3315 50 and and CC 39713 3315 51 Saturn Saturn NNP 39713 3315 52 at at IN 39713 3315 53 the the DT 39713 3315 54 instant instant NN 39713 3315 55 _ _ NNP 39713 3315 56 t t NNP 39713 3315 57 _ _ NNP 39713 3315 58 + + NNP 39713 3315 59 _ _ NNP 39713 3315 60 a a DT 39713 3315 61 _ _ NNP 39713 3315 62 , , , 39713 3315 63 by by IN 39713 3315 64 laws law NNS 39713 3315 65 as as RB 39713 3315 66 precise precise JJ 39713 3315 67 as as IN 39713 3315 68 that that DT 39713 3315 69 of of IN 39713 3315 70 Newton Newton NNP 39713 3315 71 , , , 39713 3315 72 though though IN 39713 3315 73 more more RBR 39713 3315 74 complicated complicated JJ 39713 3315 75 . . . 39713 3316 1 Then then RB 39713 3316 2 why why WRB 39713 3316 3 not not RB 39713 3316 4 regard regard VB 39713 3316 5 one one CD 39713 3316 6 of of IN 39713 3316 7 these these DT 39713 3316 8 aggregates aggregate NNS 39713 3316 9 as as IN 39713 3316 10 the the DT 39713 3316 11 cause cause NN 39713 3316 12 of of IN 39713 3316 13 the the DT 39713 3316 14 other other JJ 39713 3316 15 , , , 39713 3316 16 which which WDT 39713 3316 17 would would MD 39713 3316 18 lead lead VB 39713 3316 19 to to IN 39713 3316 20 considering consider VBG 39713 3316 21 as as RB 39713 3316 22 simultaneous simultaneous JJ 39713 3316 23 the the DT 39713 3316 24 instant instant NN 39713 3316 25 _ _ NNP 39713 3316 26 t t NNP 39713 3316 27 _ _ NNP 39713 3316 28 of of IN 39713 3316 29 Jupiter Jupiter NNP 39713 3316 30 and and CC 39713 3316 31 the the DT 39713 3316 32 instant instant NN 39713 3316 33 _ _ NNP 39713 3316 34 t t NNP 39713 3316 35 _ _ NNP 39713 3316 36 + + NNP 39713 3316 37 _ _ NNP 39713 3316 38 a a DT 39713 3316 39 _ _ NNP 39713 3316 40 of of IN 39713 3316 41 Saturn Saturn NNP 39713 3316 42 ? ? . 39713 3317 1 In in IN 39713 3317 2 answer answer NN 39713 3317 3 there there EX 39713 3317 4 can can MD 39713 3317 5 only only RB 39713 3317 6 be be VB 39713 3317 7 reasons reason NNS 39713 3317 8 , , , 39713 3317 9 very very RB 39713 3317 10 strong strong JJ 39713 3317 11 , , , 39713 3317 12 it -PRON- PRP 39713 3317 13 is be VBZ 39713 3317 14 true true JJ 39713 3317 15 , , , 39713 3317 16 of of IN 39713 3317 17 convenience convenience NN 39713 3317 18 and and CC 39713 3317 19 simplicity simplicity NN 39713 3317 20 . . . 39713 3318 1 XII XII NNP 39713 3318 2 But but CC 39713 3318 3 let let VB 39713 3318 4 us -PRON- PRP 39713 3318 5 pass pass VB 39713 3318 6 to to IN 39713 3318 7 examples example NNS 39713 3318 8 less less RBR 39713 3318 9 artificial artificial JJ 39713 3318 10 ; ; : 39713 3318 11 to to TO 39713 3318 12 understand understand VB 39713 3318 13 the the DT 39713 3318 14 definition definition NN 39713 3318 15 implicitly implicitly RB 39713 3318 16 supposed suppose VBN 39713 3318 17 by by IN 39713 3318 18 the the DT 39713 3318 19 savants savant NNS 39713 3318 20 , , , 39713 3318 21 let let VB 39713 3318 22 us -PRON- PRP 39713 3318 23 watch watch VB 39713 3318 24 them -PRON- PRP 39713 3318 25 at at IN 39713 3318 26 work work NN 39713 3318 27 and and CC 39713 3318 28 look look VB 39713 3318 29 for for IN 39713 3318 30 the the DT 39713 3318 31 rules rule NNS 39713 3318 32 by by IN 39713 3318 33 which which WDT 39713 3318 34 they -PRON- PRP 39713 3318 35 investigate investigate VBP 39713 3318 36 simultaneity simultaneity NN 39713 3318 37 . . . 39713 3319 1 I -PRON- PRP 39713 3319 2 will will MD 39713 3319 3 take take VB 39713 3319 4 two two CD 39713 3319 5 simple simple JJ 39713 3319 6 examples example NNS 39713 3319 7 , , , 39713 3319 8 the the DT 39713 3319 9 measurement measurement NN 39713 3319 10 of of IN 39713 3319 11 the the DT 39713 3319 12 velocity velocity NN 39713 3319 13 of of IN 39713 3319 14 light light NN 39713 3319 15 and and CC 39713 3319 16 the the DT 39713 3319 17 determination determination NN 39713 3319 18 of of IN 39713 3319 19 longitude longitude NN 39713 3319 20 . . . 39713 3320 1 When when WRB 39713 3320 2 an an DT 39713 3320 3 astronomer astronomer NN 39713 3320 4 tells tell VBZ 39713 3320 5 me -PRON- PRP 39713 3320 6 that that IN 39713 3320 7 some some DT 39713 3320 8 stellar stellar JJ 39713 3320 9 phenomenon phenomenon NN 39713 3320 10 , , , 39713 3320 11 which which WDT 39713 3320 12 his -PRON- PRP$ 39713 3320 13 telescope telescope NN 39713 3320 14 reveals reveal VBZ 39713 3320 15 to to IN 39713 3320 16 him -PRON- PRP 39713 3320 17 at at IN 39713 3320 18 this this DT 39713 3320 19 moment moment NN 39713 3320 20 , , , 39713 3320 21 happened happen VBD 39713 3320 22 , , , 39713 3320 23 nevertheless nevertheless RB 39713 3320 24 , , , 39713 3320 25 fifty fifty CD 39713 3320 26 years year NNS 39713 3320 27 ago ago RB 39713 3320 28 , , , 39713 3320 29 I -PRON- PRP 39713 3320 30 seek seek VBP 39713 3320 31 his -PRON- PRP$ 39713 3320 32 meaning meaning NN 39713 3320 33 , , , 39713 3320 34 and and CC 39713 3320 35 to to IN 39713 3320 36 that that DT 39713 3320 37 end end NN 39713 3320 38 I -PRON- PRP 39713 3320 39 shall shall MD 39713 3320 40 ask ask VB 39713 3320 41 him -PRON- PRP 39713 3320 42 first first RB 39713 3320 43 how how WRB 39713 3320 44 he -PRON- PRP 39713 3320 45 knows know VBZ 39713 3320 46 it -PRON- PRP 39713 3320 47 , , , 39713 3320 48 that that RB 39713 3320 49 is is RB 39713 3320 50 , , , 39713 3320 51 how how WRB 39713 3320 52 he -PRON- PRP 39713 3320 53 has have VBZ 39713 3320 54 measured measure VBN 39713 3320 55 the the DT 39713 3320 56 velocity velocity NN 39713 3320 57 of of IN 39713 3320 58 light light NN 39713 3320 59 . . . 39713 3321 1 He -PRON- PRP 39713 3321 2 has have VBZ 39713 3321 3 begun begin VBN 39713 3321 4 by by IN 39713 3321 5 _ _ NNP 39713 3321 6 supposing suppose VBG 39713 3321 7 _ _ NNP 39713 3321 8 that that DT 39713 3321 9 light light NN 39713 3321 10 has have VBZ 39713 3321 11 a a DT 39713 3321 12 constant constant JJ 39713 3321 13 velocity velocity NN 39713 3321 14 , , , 39713 3321 15 and and CC 39713 3321 16 in in IN 39713 3321 17 particular particular JJ 39713 3321 18 that that IN 39713 3321 19 its -PRON- PRP$ 39713 3321 20 velocity velocity NN 39713 3321 21 is be VBZ 39713 3321 22 the the DT 39713 3321 23 same same JJ 39713 3321 24 in in IN 39713 3321 25 all all DT 39713 3321 26 directions direction NNS 39713 3321 27 . . . 39713 3322 1 That that DT 39713 3322 2 is be VBZ 39713 3322 3 a a DT 39713 3322 4 postulate postulate NN 39713 3322 5 without without IN 39713 3322 6 which which WDT 39713 3322 7 no no DT 39713 3322 8 measurement measurement NN 39713 3322 9 of of IN 39713 3322 10 this this DT 39713 3322 11 velocity velocity NN 39713 3322 12 could could MD 39713 3322 13 be be VB 39713 3322 14 attempted attempt VBN 39713 3322 15 . . . 39713 3323 1 This this DT 39713 3323 2 postulate postulate NN 39713 3323 3 could could MD 39713 3323 4 never never RB 39713 3323 5 be be VB 39713 3323 6 verified verify VBN 39713 3323 7 directly directly RB 39713 3323 8 by by IN 39713 3323 9 experiment experiment NN 39713 3323 10 ; ; : 39713 3323 11 it -PRON- PRP 39713 3323 12 might may MD 39713 3323 13 be be VB 39713 3323 14 contradicted contradict VBN 39713 3323 15 by by IN 39713 3323 16 it -PRON- PRP 39713 3323 17 if if IN 39713 3323 18 the the DT 39713 3323 19 results result NNS 39713 3323 20 of of IN 39713 3323 21 different different JJ 39713 3323 22 measurements measurement NNS 39713 3323 23 were be VBD 39713 3323 24 not not RB 39713 3323 25 concordant concordant JJ 39713 3323 26 . . . 39713 3324 1 We -PRON- PRP 39713 3324 2 should should MD 39713 3324 3 think think VB 39713 3324 4 ourselves -PRON- PRP 39713 3324 5 fortunate fortunate VB 39713 3324 6 that that IN 39713 3324 7 this this DT 39713 3324 8 contradiction contradiction NN 39713 3324 9 has have VBZ 39713 3324 10 not not RB 39713 3324 11 happened happen VBN 39713 3324 12 and and CC 39713 3324 13 that that IN 39713 3324 14 the the DT 39713 3324 15 slight slight JJ 39713 3324 16 discordances discordance NNS 39713 3324 17 which which WDT 39713 3324 18 may may MD 39713 3324 19 happen happen VB 39713 3324 20 can can MD 39713 3324 21 be be VB 39713 3324 22 readily readily RB 39713 3324 23 explained explain VBN 39713 3324 24 . . . 39713 3325 1 The the DT 39713 3325 2 postulate postulate NN 39713 3325 3 , , , 39713 3325 4 at at IN 39713 3325 5 all all DT 39713 3325 6 events event NNS 39713 3325 7 , , , 39713 3325 8 resembling resemble VBG 39713 3325 9 the the DT 39713 3325 10 principle principle NN 39713 3325 11 of of IN 39713 3325 12 sufficient sufficient JJ 39713 3325 13 reason reason NN 39713 3325 14 , , , 39713 3325 15 has have VBZ 39713 3325 16 been be VBN 39713 3325 17 accepted accept VBN 39713 3325 18 by by IN 39713 3325 19 everybody everybody NN 39713 3325 20 ; ; : 39713 3325 21 what what WP 39713 3325 22 I -PRON- PRP 39713 3325 23 wish wish VBP 39713 3325 24 to to TO 39713 3325 25 emphasize emphasize VB 39713 3325 26 is be VBZ 39713 3325 27 that that IN 39713 3325 28 it -PRON- PRP 39713 3325 29 furnishes furnish VBZ 39713 3325 30 us -PRON- PRP 39713 3325 31 with with IN 39713 3325 32 a a DT 39713 3325 33 new new JJ 39713 3325 34 rule rule NN 39713 3325 35 for for IN 39713 3325 36 the the DT 39713 3325 37 investigation investigation NN 39713 3325 38 of of IN 39713 3325 39 simultaneity simultaneity NN 39713 3325 40 , , , 39713 3325 41 entirely entirely RB 39713 3325 42 different different JJ 39713 3325 43 from from IN 39713 3325 44 that that DT 39713 3325 45 which which WDT 39713 3325 46 we -PRON- PRP 39713 3325 47 have have VBP 39713 3325 48 enunciated enunciate VBN 39713 3325 49 above above RB 39713 3325 50 . . . 39713 3326 1 This this DT 39713 3326 2 postulate postulate NN 39713 3326 3 assumed assume VBD 39713 3326 4 , , , 39713 3326 5 let let VB 39713 3326 6 us -PRON- PRP 39713 3326 7 see see VB 39713 3326 8 how how WRB 39713 3326 9 the the DT 39713 3326 10 velocity velocity NN 39713 3326 11 of of IN 39713 3326 12 light light NN 39713 3326 13 has have VBZ 39713 3326 14 been be VBN 39713 3326 15 measured measure VBN 39713 3326 16 . . . 39713 3327 1 You -PRON- PRP 39713 3327 2 know know VBP 39713 3327 3 that that IN 39713 3327 4 Roemer Roemer NNP 39713 3327 5 used use VBD 39713 3327 6 eclipses eclipse NNS 39713 3327 7 of of IN 39713 3327 8 the the DT 39713 3327 9 satellites satellite NNS 39713 3327 10 of of IN 39713 3327 11 Jupiter Jupiter NNP 39713 3327 12 , , , 39713 3327 13 and and CC 39713 3327 14 sought seek VBD 39713 3327 15 how how WRB 39713 3327 16 much much JJ 39713 3327 17 the the DT 39713 3327 18 event event NN 39713 3327 19 fell fall VBD 39713 3327 20 behind behind IN 39713 3327 21 its -PRON- PRP$ 39713 3327 22 prediction prediction NN 39713 3327 23 . . . 39713 3328 1 But but CC 39713 3328 2 how how WRB 39713 3328 3 is be VBZ 39713 3328 4 this this DT 39713 3328 5 prediction prediction NN 39713 3328 6 made make VBN 39713 3328 7 ? ? . 39713 3329 1 It -PRON- PRP 39713 3329 2 is be VBZ 39713 3329 3 by by IN 39713 3329 4 the the DT 39713 3329 5 aid aid NN 39713 3329 6 of of IN 39713 3329 7 astronomic astronomic JJ 39713 3329 8 laws law NNS 39713 3329 9 ; ; , 39713 3329 10 for for IN 39713 3329 11 instance instance NN 39713 3329 12 Newton Newton NNP 39713 3329 13 's 's POS 39713 3329 14 law law NN 39713 3329 15 . . . 39713 3330 1 Could Could MD 39713 3330 2 not not RB 39713 3330 3 the the DT 39713 3330 4 observed observe VBN 39713 3330 5 facts fact NNS 39713 3330 6 be be VB 39713 3330 7 just just RB 39713 3330 8 as as RB 39713 3330 9 well well RB 39713 3330 10 explained explain VBN 39713 3330 11 if if IN 39713 3330 12 we -PRON- PRP 39713 3330 13 attributed attribute VBD 39713 3330 14 to to IN 39713 3330 15 the the DT 39713 3330 16 velocity velocity NN 39713 3330 17 of of IN 39713 3330 18 light light NN 39713 3330 19 a a DT 39713 3330 20 little little JJ 39713 3330 21 different different JJ 39713 3330 22 value value NN 39713 3330 23 from from IN 39713 3330 24 that that DT 39713 3330 25 adopted adopt VBN 39713 3330 26 , , , 39713 3330 27 and and CC 39713 3330 28 supposed suppose VBD 39713 3330 29 Newton Newton NNP 39713 3330 30 's 's POS 39713 3330 31 law law NN 39713 3330 32 only only RB 39713 3330 33 approximate approximate JJ 39713 3330 34 ? ? . 39713 3331 1 Only only RB 39713 3331 2 this this DT 39713 3331 3 would would MD 39713 3331 4 lead lead VB 39713 3331 5 to to IN 39713 3331 6 replacing replace VBG 39713 3331 7 Newton Newton NNP 39713 3331 8 's 's POS 39713 3331 9 law law NN 39713 3331 10 by by IN 39713 3331 11 another another DT 39713 3331 12 more more RBR 39713 3331 13 complicated complicated JJ 39713 3331 14 . . . 39713 3332 1 So so RB 39713 3332 2 for for IN 39713 3332 3 the the DT 39713 3332 4 velocity velocity NN 39713 3332 5 of of IN 39713 3332 6 light light NN 39713 3332 7 a a DT 39713 3332 8 value value NN 39713 3332 9 is be VBZ 39713 3332 10 adopted adopt VBN 39713 3332 11 , , , 39713 3332 12 such such JJ 39713 3332 13 that that IN 39713 3332 14 the the DT 39713 3332 15 astronomic astronomic JJ 39713 3332 16 laws law NNS 39713 3332 17 compatible compatible JJ 39713 3332 18 with with IN 39713 3332 19 this this DT 39713 3332 20 value value NN 39713 3332 21 may may MD 39713 3332 22 be be VB 39713 3332 23 as as RB 39713 3332 24 simple simple JJ 39713 3332 25 as as IN 39713 3332 26 possible possible JJ 39713 3332 27 . . . 39713 3333 1 When when WRB 39713 3333 2 navigators navigator NNS 39713 3333 3 or or CC 39713 3333 4 geographers geographer NNS 39713 3333 5 determine determine VBP 39713 3333 6 a a DT 39713 3333 7 longitude longitude NN 39713 3333 8 , , , 39713 3333 9 they -PRON- PRP 39713 3333 10 have have VBP 39713 3333 11 to to TO 39713 3333 12 solve solve VB 39713 3333 13 just just RB 39713 3333 14 the the DT 39713 3333 15 problem problem NN 39713 3333 16 we -PRON- PRP 39713 3333 17 are be VBP 39713 3333 18 discussing discuss VBG 39713 3333 19 ; ; : 39713 3333 20 they -PRON- PRP 39713 3333 21 must must MD 39713 3333 22 , , , 39713 3333 23 without without IN 39713 3333 24 being be VBG 39713 3333 25 at at IN 39713 3333 26 Paris Paris NNP 39713 3333 27 , , , 39713 3333 28 calculate calculate NN 39713 3333 29 Paris Paris NNP 39713 3333 30 time time NN 39713 3333 31 . . . 39713 3334 1 How how WRB 39713 3334 2 do do VBP 39713 3334 3 they -PRON- PRP 39713 3334 4 accomplish accomplish VB 39713 3334 5 it -PRON- PRP 39713 3334 6 ? ? . 39713 3335 1 They -PRON- PRP 39713 3335 2 carry carry VBP 39713 3335 3 a a DT 39713 3335 4 chronometer chronometer NN 39713 3335 5 set set VBN 39713 3335 6 for for IN 39713 3335 7 Paris Paris NNP 39713 3335 8 . . . 39713 3336 1 The the DT 39713 3336 2 qualitative qualitative JJ 39713 3336 3 problem problem NN 39713 3336 4 of of IN 39713 3336 5 simultaneity simultaneity NN 39713 3336 6 is be VBZ 39713 3336 7 made make VBN 39713 3336 8 to to TO 39713 3336 9 depend depend VB 39713 3336 10 upon upon IN 39713 3336 11 the the DT 39713 3336 12 quantitative quantitative JJ 39713 3336 13 problem problem NN 39713 3336 14 of of IN 39713 3336 15 the the DT 39713 3336 16 measurement measurement NN 39713 3336 17 of of IN 39713 3336 18 time time NN 39713 3336 19 . . . 39713 3337 1 I -PRON- PRP 39713 3337 2 need need VBP 39713 3337 3 not not RB 39713 3337 4 take take VB 39713 3337 5 up up RP 39713 3337 6 the the DT 39713 3337 7 difficulties difficulty NNS 39713 3337 8 relative relative JJ 39713 3337 9 to to IN 39713 3337 10 this this DT 39713 3337 11 latter latter JJ 39713 3337 12 problem problem NN 39713 3337 13 , , , 39713 3337 14 since since IN 39713 3337 15 above above IN 39713 3337 16 I -PRON- PRP 39713 3337 17 have have VBP 39713 3337 18 emphasized emphasize VBN 39713 3337 19 them -PRON- PRP 39713 3337 20 at at IN 39713 3337 21 length length NN 39713 3337 22 . . . 39713 3338 1 Or or CC 39713 3338 2 else else RB 39713 3338 3 they -PRON- PRP 39713 3338 4 observe observe VBP 39713 3338 5 an an DT 39713 3338 6 astronomic astronomic JJ 39713 3338 7 phenomenon phenomenon NN 39713 3338 8 , , , 39713 3338 9 such such JJ 39713 3338 10 as as IN 39713 3338 11 an an DT 39713 3338 12 eclipse eclipse NN 39713 3338 13 of of IN 39713 3338 14 the the DT 39713 3338 15 moon moon NN 39713 3338 16 , , , 39713 3338 17 and and CC 39713 3338 18 they -PRON- PRP 39713 3338 19 suppose suppose VBP 39713 3338 20 that that IN 39713 3338 21 this this DT 39713 3338 22 phenomenon phenomenon NN 39713 3338 23 is be VBZ 39713 3338 24 perceived perceive VBN 39713 3338 25 simultaneously simultaneously RB 39713 3338 26 from from IN 39713 3338 27 all all DT 39713 3338 28 points point NNS 39713 3338 29 of of IN 39713 3338 30 the the DT 39713 3338 31 earth earth NN 39713 3338 32 . . . 39713 3339 1 That that DT 39713 3339 2 is be VBZ 39713 3339 3 not not RB 39713 3339 4 altogether altogether RB 39713 3339 5 true true JJ 39713 3339 6 , , , 39713 3339 7 since since IN 39713 3339 8 the the DT 39713 3339 9 propagation propagation NN 39713 3339 10 of of IN 39713 3339 11 light light NN 39713 3339 12 is be VBZ 39713 3339 13 not not RB 39713 3339 14 instantaneous instantaneous JJ 39713 3339 15 ; ; : 39713 3339 16 if if IN 39713 3339 17 absolute absolute JJ 39713 3339 18 exactitude exactitude NN 39713 3339 19 were be VBD 39713 3339 20 desired desire VBN 39713 3339 21 , , , 39713 3339 22 there there EX 39713 3339 23 would would MD 39713 3339 24 be be VB 39713 3339 25 a a DT 39713 3339 26 correction correction NN 39713 3339 27 to to TO 39713 3339 28 make make VB 39713 3339 29 according accord VBG 39713 3339 30 to to IN 39713 3339 31 a a DT 39713 3339 32 complicated complicated JJ 39713 3339 33 rule rule NN 39713 3339 34 . . . 39713 3340 1 Or or CC 39713 3340 2 else else RB 39713 3340 3 finally finally RB 39713 3340 4 they -PRON- PRP 39713 3340 5 use use VBP 39713 3340 6 the the DT 39713 3340 7 telegraph telegraph NN 39713 3340 8 . . . 39713 3341 1 It -PRON- PRP 39713 3341 2 is be VBZ 39713 3341 3 clear clear JJ 39713 3341 4 first first RB 39713 3341 5 that that IN 39713 3341 6 the the DT 39713 3341 7 reception reception NN 39713 3341 8 of of IN 39713 3341 9 the the DT 39713 3341 10 signal signal NN 39713 3341 11 at at IN 39713 3341 12 Berlin Berlin NNP 39713 3341 13 , , , 39713 3341 14 for for IN 39713 3341 15 instance instance NN 39713 3341 16 , , , 39713 3341 17 is be VBZ 39713 3341 18 after after IN 39713 3341 19 the the DT 39713 3341 20 sending sending NN 39713 3341 21 of of IN 39713 3341 22 this this DT 39713 3341 23 same same JJ 39713 3341 24 signal signal NN 39713 3341 25 from from IN 39713 3341 26 Paris Paris NNP 39713 3341 27 . . . 39713 3342 1 This this DT 39713 3342 2 is be VBZ 39713 3342 3 the the DT 39713 3342 4 rule rule NN 39713 3342 5 of of IN 39713 3342 6 cause cause NN 39713 3342 7 and and CC 39713 3342 8 effect effect NN 39713 3342 9 analyzed analyze VBN 39713 3342 10 above above RB 39713 3342 11 . . . 39713 3343 1 But but CC 39713 3343 2 how how WRB 39713 3343 3 much much RB 39713 3343 4 after after IN 39713 3343 5 ? ? . 39713 3344 1 In in IN 39713 3344 2 general general JJ 39713 3344 3 , , , 39713 3344 4 the the DT 39713 3344 5 duration duration NN 39713 3344 6 of of IN 39713 3344 7 the the DT 39713 3344 8 transmission transmission NN 39713 3344 9 is be VBZ 39713 3344 10 neglected neglect VBN 39713 3344 11 and and CC 39713 3344 12 the the DT 39713 3344 13 two two CD 39713 3344 14 events event NNS 39713 3344 15 are be VBP 39713 3344 16 regarded regard VBN 39713 3344 17 as as IN 39713 3344 18 simultaneous simultaneous JJ 39713 3344 19 . . . 39713 3345 1 But but CC 39713 3345 2 , , , 39713 3345 3 to to TO 39713 3345 4 be be VB 39713 3345 5 rigorous rigorous JJ 39713 3345 6 , , , 39713 3345 7 a a DT 39713 3345 8 little little JJ 39713 3345 9 correction correction NN 39713 3345 10 would would MD 39713 3345 11 still still RB 39713 3345 12 have have VB 39713 3345 13 to to TO 39713 3345 14 be be VB 39713 3345 15 made make VBN 39713 3345 16 by by IN 39713 3345 17 a a DT 39713 3345 18 complicated complicated JJ 39713 3345 19 calculation calculation NN 39713 3345 20 ; ; : 39713 3345 21 in in IN 39713 3345 22 practise practise NN 39713 3345 23 it -PRON- PRP 39713 3345 24 is be VBZ 39713 3345 25 not not RB 39713 3345 26 made make VBN 39713 3345 27 , , , 39713 3345 28 because because IN 39713 3345 29 it -PRON- PRP 39713 3345 30 would would MD 39713 3345 31 be be VB 39713 3345 32 well well RB 39713 3345 33 within within IN 39713 3345 34 the the DT 39713 3345 35 errors error NNS 39713 3345 36 of of IN 39713 3345 37 observation observation NN 39713 3345 38 ; ; : 39713 3345 39 its -PRON- PRP$ 39713 3345 40 theoretic theoretic JJ 39713 3345 41 necessity necessity NN 39713 3345 42 is be VBZ 39713 3345 43 none none NN 39713 3345 44 the the DT 39713 3345 45 less less JJR 39713 3345 46 from from IN 39713 3345 47 our -PRON- PRP$ 39713 3345 48 point point NN 39713 3345 49 of of IN 39713 3345 50 view view NN 39713 3345 51 , , , 39713 3345 52 which which WDT 39713 3345 53 is be VBZ 39713 3345 54 that that DT 39713 3345 55 of of IN 39713 3345 56 a a DT 39713 3345 57 rigorous rigorous JJ 39713 3345 58 definition definition NN 39713 3345 59 . . . 39713 3346 1 From from IN 39713 3346 2 this this DT 39713 3346 3 discussion discussion NN 39713 3346 4 , , , 39713 3346 5 I -PRON- PRP 39713 3346 6 wish wish VBP 39713 3346 7 to to TO 39713 3346 8 emphasize emphasize VB 39713 3346 9 two two CD 39713 3346 10 things thing NNS 39713 3346 11 : : : 39713 3346 12 ( ( -LRB- 39713 3346 13 1 1 LS 39713 3346 14 ) ) -RRB- 39713 3346 15 The the DT 39713 3346 16 rules rule NNS 39713 3346 17 applied apply VBD 39713 3346 18 are be VBP 39713 3346 19 exceedingly exceedingly RB 39713 3346 20 various various JJ 39713 3346 21 . . . 39713 3347 1 ( ( -LRB- 39713 3347 2 2 2 LS 39713 3347 3 ) ) -RRB- 39713 3347 4 It -PRON- PRP 39713 3347 5 is be VBZ 39713 3347 6 difficult difficult JJ 39713 3347 7 to to TO 39713 3347 8 separate separate VB 39713 3347 9 the the DT 39713 3347 10 qualitative qualitative JJ 39713 3347 11 problem problem NN 39713 3347 12 of of IN 39713 3347 13 simultaneity simultaneity NN 39713 3347 14 from from IN 39713 3347 15 the the DT 39713 3347 16 quantitative quantitative JJ 39713 3347 17 problem problem NN 39713 3347 18 of of IN 39713 3347 19 the the DT 39713 3347 20 measurement measurement NN 39713 3347 21 of of IN 39713 3347 22 time time NN 39713 3347 23 ; ; : 39713 3347 24 no no RB 39713 3347 25 matter matter RB 39713 3347 26 whether whether IN 39713 3347 27 a a DT 39713 3347 28 chronometer chronometer NN 39713 3347 29 is be VBZ 39713 3347 30 used use VBN 39713 3347 31 , , , 39713 3347 32 or or CC 39713 3347 33 whether whether IN 39713 3347 34 account account NN 39713 3347 35 must must MD 39713 3347 36 be be VB 39713 3347 37 taken take VBN 39713 3347 38 of of IN 39713 3347 39 a a DT 39713 3347 40 velocity velocity NN 39713 3347 41 of of IN 39713 3347 42 transmission transmission NN 39713 3347 43 , , , 39713 3347 44 as as IN 39713 3347 45 that that DT 39713 3347 46 of of IN 39713 3347 47 light light NN 39713 3347 48 , , , 39713 3347 49 because because IN 39713 3347 50 such such PDT 39713 3347 51 a a DT 39713 3347 52 velocity velocity NN 39713 3347 53 could could MD 39713 3347 54 not not RB 39713 3347 55 be be VB 39713 3347 56 measured measure VBN 39713 3347 57 without without IN 39713 3347 58 _ _ NNP 39713 3347 59 measuring measure VBG 39713 3347 60 _ _ NNP 39713 3347 61 a a DT 39713 3347 62 time time NN 39713 3347 63 . . . 39713 3348 1 XIII xiii NN 39713 3348 2 To to TO 39713 3348 3 conclude conclude VB 39713 3348 4 : : : 39713 3348 5 We -PRON- PRP 39713 3348 6 have have VBP 39713 3348 7 not not RB 39713 3348 8 a a DT 39713 3348 9 direct direct JJ 39713 3348 10 intuition intuition NN 39713 3348 11 of of IN 39713 3348 12 simultaneity simultaneity NN 39713 3348 13 , , , 39713 3348 14 nor nor CC 39713 3348 15 of of IN 39713 3348 16 the the DT 39713 3348 17 equality equality NN 39713 3348 18 of of IN 39713 3348 19 two two CD 39713 3348 20 durations duration NNS 39713 3348 21 . . . 39713 3349 1 If if IN 39713 3349 2 we -PRON- PRP 39713 3349 3 think think VBP 39713 3349 4 we -PRON- PRP 39713 3349 5 have have VBP 39713 3349 6 this this DT 39713 3349 7 intuition intuition NN 39713 3349 8 , , , 39713 3349 9 this this DT 39713 3349 10 is be VBZ 39713 3349 11 an an DT 39713 3349 12 illusion illusion NN 39713 3349 13 . . . 39713 3350 1 We -PRON- PRP 39713 3350 2 replace replace VBP 39713 3350 3 it -PRON- PRP 39713 3350 4 by by IN 39713 3350 5 the the DT 39713 3350 6 aid aid NN 39713 3350 7 of of IN 39713 3350 8 certain certain JJ 39713 3350 9 rules rule NNS 39713 3350 10 which which WDT 39713 3350 11 we -PRON- PRP 39713 3350 12 apply apply VBP 39713 3350 13 almost almost RB 39713 3350 14 always always RB 39713 3350 15 without without IN 39713 3350 16 taking take VBG 39713 3350 17 count count NN 39713 3350 18 of of IN 39713 3350 19 them -PRON- PRP 39713 3350 20 . . . 39713 3351 1 But but CC 39713 3351 2 what what WP 39713 3351 3 is be VBZ 39713 3351 4 the the DT 39713 3351 5 nature nature NN 39713 3351 6 of of IN 39713 3351 7 these these DT 39713 3351 8 rules rule NNS 39713 3351 9 ? ? . 39713 3352 1 No no DT 39713 3352 2 general general JJ 39713 3352 3 rule rule NN 39713 3352 4 , , , 39713 3352 5 no no DT 39713 3352 6 rigorous rigorous JJ 39713 3352 7 rule rule NN 39713 3352 8 ; ; : 39713 3352 9 a a DT 39713 3352 10 multitude multitude NN 39713 3352 11 of of IN 39713 3352 12 little little JJ 39713 3352 13 rules rule NNS 39713 3352 14 applicable applicable JJ 39713 3352 15 to to IN 39713 3352 16 each each DT 39713 3352 17 particular particular JJ 39713 3352 18 case case NN 39713 3352 19 . . . 39713 3353 1 These these DT 39713 3353 2 rules rule NNS 39713 3353 3 are be VBP 39713 3353 4 not not RB 39713 3353 5 imposed impose VBN 39713 3353 6 upon upon IN 39713 3353 7 us -PRON- PRP 39713 3353 8 and and CC 39713 3353 9 we -PRON- PRP 39713 3353 10 might may MD 39713 3353 11 amuse amuse VB 39713 3353 12 ourselves -PRON- PRP 39713 3353 13 in in IN 39713 3353 14 inventing invent VBG 39713 3353 15 others other NNS 39713 3353 16 ; ; : 39713 3353 17 but but CC 39713 3353 18 they -PRON- PRP 39713 3353 19 could could MD 39713 3353 20 not not RB 39713 3353 21 be be VB 39713 3353 22 cast cast VBN 39713 3353 23 aside aside RB 39713 3353 24 without without IN 39713 3353 25 greatly greatly RB 39713 3353 26 complicating complicate VBG 39713 3353 27 the the DT 39713 3353 28 enunciation enunciation NN 39713 3353 29 of of IN 39713 3353 30 the the DT 39713 3353 31 laws law NNS 39713 3353 32 of of IN 39713 3353 33 physics physics NN 39713 3353 34 , , , 39713 3353 35 mechanics mechanic NNS 39713 3353 36 and and CC 39713 3353 37 astronomy astronomy NN 39713 3353 38 . . . 39713 3354 1 We -PRON- PRP 39713 3354 2 therefore therefore RB 39713 3354 3 choose choose VBP 39713 3354 4 these these DT 39713 3354 5 rules rule NNS 39713 3354 6 , , , 39713 3354 7 not not RB 39713 3354 8 because because IN 39713 3354 9 they -PRON- PRP 39713 3354 10 are be VBP 39713 3354 11 true true JJ 39713 3354 12 , , , 39713 3354 13 but but CC 39713 3354 14 because because IN 39713 3354 15 they -PRON- PRP 39713 3354 16 are be VBP 39713 3354 17 the the DT 39713 3354 18 most most RBS 39713 3354 19 convenient convenient JJ 39713 3354 20 , , , 39713 3354 21 and and CC 39713 3354 22 we -PRON- PRP 39713 3354 23 may may MD 39713 3354 24 recapitulate recapitulate VB 39713 3354 25 them -PRON- PRP 39713 3354 26 as as IN 39713 3354 27 follows follow VBZ 39713 3354 28 : : : 39713 3354 29 " " `` 39713 3354 30 The the DT 39713 3354 31 simultaneity simultaneity NN 39713 3354 32 of of IN 39713 3354 33 two two CD 39713 3354 34 events event NNS 39713 3354 35 , , , 39713 3354 36 or or CC 39713 3354 37 the the DT 39713 3354 38 order order NN 39713 3354 39 of of IN 39713 3354 40 their -PRON- PRP$ 39713 3354 41 succession succession NN 39713 3354 42 , , , 39713 3354 43 the the DT 39713 3354 44 equality equality NN 39713 3354 45 of of IN 39713 3354 46 two two CD 39713 3354 47 durations duration NNS 39713 3354 48 , , , 39713 3354 49 are be VBP 39713 3354 50 to to TO 39713 3354 51 be be VB 39713 3354 52 so so RB 39713 3354 53 defined define VBN 39713 3354 54 that that IN 39713 3354 55 the the DT 39713 3354 56 enunciation enunciation NN 39713 3354 57 of of IN 39713 3354 58 the the DT 39713 3354 59 natural natural JJ 39713 3354 60 laws law NNS 39713 3354 61 may may MD 39713 3354 62 be be VB 39713 3354 63 as as RB 39713 3354 64 simple simple JJ 39713 3354 65 as as IN 39713 3354 66 possible possible JJ 39713 3354 67 . . . 39713 3355 1 In in IN 39713 3355 2 other other JJ 39713 3355 3 words word NNS 39713 3355 4 , , , 39713 3355 5 all all PDT 39713 3355 6 these these DT 39713 3355 7 rules rule NNS 39713 3355 8 , , , 39713 3355 9 all all PDT 39713 3355 10 these these DT 39713 3355 11 definitions definition NNS 39713 3355 12 are be VBP 39713 3355 13 only only RB 39713 3355 14 the the DT 39713 3355 15 fruit fruit NN 39713 3355 16 of of IN 39713 3355 17 an an DT 39713 3355 18 unconscious unconscious JJ 39713 3355 19 opportunism opportunism NN 39713 3355 20 . . . 39713 3355 21 " " '' 39713 3356 1 CHAPTER CHAPTER NNP 39713 3356 2 III III NNP 39713 3356 3 THE the DT 39713 3356 4 NOTION NOTION NNP 39713 3356 5 OF of IN 39713 3356 6 SPACE SPACE NNP 39713 3356 7 1 1 CD 39713 3356 8 . . . 39713 3357 1 _ _ NNP 39713 3357 2 Introduction Introduction NNP 39713 3357 3 _ _ NNP 39713 3357 4 In in IN 39713 3357 5 the the DT 39713 3357 6 articles article NNS 39713 3357 7 I -PRON- PRP 39713 3357 8 have have VBP 39713 3357 9 heretofore heretofore RB 39713 3357 10 devoted devote VBN 39713 3357 11 to to IN 39713 3357 12 space space NN 39713 3357 13 I -PRON- PRP 39713 3357 14 have have VBP 39713 3357 15 above above RB 39713 3357 16 all all DT 39713 3357 17 emphasized emphasize VBN 39713 3357 18 the the DT 39713 3357 19 problems problem NNS 39713 3357 20 raised raise VBN 39713 3357 21 by by IN 39713 3357 22 non non JJ 39713 3357 23 - - JJ 39713 3357 24 Euclidean euclidean JJ 39713 3357 25 geometry geometry NN 39713 3357 26 , , , 39713 3357 27 while while IN 39713 3357 28 leaving leave VBG 39713 3357 29 almost almost RB 39713 3357 30 completely completely RB 39713 3357 31 aside aside IN 39713 3357 32 other other JJ 39713 3357 33 questions question NNS 39713 3357 34 more more RBR 39713 3357 35 difficult difficult JJ 39713 3357 36 of of IN 39713 3357 37 approach approach NN 39713 3357 38 , , , 39713 3357 39 such such JJ 39713 3357 40 as as IN 39713 3357 41 those those DT 39713 3357 42 which which WDT 39713 3357 43 pertain pertain VBP 39713 3357 44 to to IN 39713 3357 45 the the DT 39713 3357 46 number number NN 39713 3357 47 of of IN 39713 3357 48 dimensions dimension NNS 39713 3357 49 . . . 39713 3358 1 All all PDT 39713 3358 2 the the DT 39713 3358 3 geometries geometry NNS 39713 3358 4 I -PRON- PRP 39713 3358 5 considered consider VBD 39713 3358 6 had have VBD 39713 3358 7 thus thus RB 39713 3358 8 a a DT 39713 3358 9 common common JJ 39713 3358 10 basis basis NN 39713 3358 11 , , , 39713 3358 12 that that DT 39713 3358 13 tridimensional tridimensional JJ 39713 3358 14 continuum continuum NN 39713 3358 15 which which WDT 39713 3358 16 was be VBD 39713 3358 17 the the DT 39713 3358 18 same same JJ 39713 3358 19 for for IN 39713 3358 20 all all DT 39713 3358 21 and and CC 39713 3358 22 which which WDT 39713 3358 23 differentiated differentiate VBD 39713 3358 24 itself -PRON- PRP 39713 3358 25 only only RB 39713 3358 26 by by IN 39713 3358 27 the the DT 39713 3358 28 figures figure NNS 39713 3358 29 one one CD 39713 3358 30 drew draw VBD 39713 3358 31 in in IN 39713 3358 32 it -PRON- PRP 39713 3358 33 or or CC 39713 3358 34 when when WRB 39713 3358 35 one one PRP 39713 3358 36 aspired aspire VBD 39713 3358 37 to to TO 39713 3358 38 measure measure VB 39713 3358 39 it -PRON- PRP 39713 3358 40 . . . 39713 3359 1 In in IN 39713 3359 2 this this DT 39713 3359 3 continuum continuum NN 39713 3359 4 , , , 39713 3359 5 primitively primitively RB 39713 3359 6 amorphous amorphous JJ 39713 3359 7 , , , 39713 3359 8 we -PRON- PRP 39713 3359 9 may may MD 39713 3359 10 imagine imagine VB 39713 3359 11 a a DT 39713 3359 12 network network NN 39713 3359 13 of of IN 39713 3359 14 lines line NNS 39713 3359 15 and and CC 39713 3359 16 surfaces surface NNS 39713 3359 17 , , , 39713 3359 18 we -PRON- PRP 39713 3359 19 may may MD 39713 3359 20 then then RB 39713 3359 21 convene convene VB 39713 3359 22 to to TO 39713 3359 23 regard regard VB 39713 3359 24 the the DT 39713 3359 25 meshes mesh NNS 39713 3359 26 of of IN 39713 3359 27 this this DT 39713 3359 28 net net NN 39713 3359 29 as as RB 39713 3359 30 equal equal JJ 39713 3359 31 to to IN 39713 3359 32 one one CD 39713 3359 33 another another DT 39713 3359 34 , , , 39713 3359 35 and and CC 39713 3359 36 it -PRON- PRP 39713 3359 37 is be VBZ 39713 3359 38 only only RB 39713 3359 39 after after IN 39713 3359 40 this this DT 39713 3359 41 convention convention NN 39713 3359 42 that that IN 39713 3359 43 this this DT 39713 3359 44 continuum continuum NN 39713 3359 45 , , , 39713 3359 46 become become VB 39713 3359 47 measurable measurable JJ 39713 3359 48 , , , 39713 3359 49 becomes become VBZ 39713 3359 50 Euclidean euclidean JJ 39713 3359 51 or or CC 39713 3359 52 non non JJ 39713 3359 53 - - JJ 39713 3359 54 Euclidean euclidean JJ 39713 3359 55 space space NN 39713 3359 56 . . . 39713 3360 1 From from IN 39713 3360 2 this this DT 39713 3360 3 amorphous amorphous JJ 39713 3360 4 continuum continuum NN 39713 3360 5 can can MD 39713 3360 6 therefore therefore RB 39713 3360 7 arise arise VB 39713 3360 8 indifferently indifferently RB 39713 3360 9 one one CD 39713 3360 10 or or CC 39713 3360 11 the the DT 39713 3360 12 other other JJ 39713 3360 13 of of IN 39713 3360 14 the the DT 39713 3360 15 two two CD 39713 3360 16 spaces space NNS 39713 3360 17 , , , 39713 3360 18 just just RB 39713 3360 19 as as IN 39713 3360 20 on on IN 39713 3360 21 a a DT 39713 3360 22 blank blank JJ 39713 3360 23 sheet sheet NN 39713 3360 24 of of IN 39713 3360 25 paper paper NN 39713 3360 26 may may MD 39713 3360 27 be be VB 39713 3360 28 traced trace VBN 39713 3360 29 indifferently indifferently RB 39713 3360 30 a a DT 39713 3360 31 straight straight NN 39713 3360 32 or or CC 39713 3360 33 a a DT 39713 3360 34 circle circle NN 39713 3360 35 . . . 39713 3361 1 In in IN 39713 3361 2 space space NN 39713 3361 3 we -PRON- PRP 39713 3361 4 know know VBP 39713 3361 5 rectilinear rectilinear JJ 39713 3361 6 triangles triangle NNS 39713 3361 7 the the DT 39713 3361 8 sum sum NN 39713 3361 9 of of IN 39713 3361 10 whose whose WP$ 39713 3361 11 angles angle NNS 39713 3361 12 is be VBZ 39713 3361 13 equal equal JJ 39713 3361 14 to to IN 39713 3361 15 two two CD 39713 3361 16 right right JJ 39713 3361 17 angles angle NNS 39713 3361 18 ; ; : 39713 3361 19 but but CC 39713 3361 20 equally equally RB 39713 3361 21 we -PRON- PRP 39713 3361 22 know know VBP 39713 3361 23 curvilinear curvilinear NN 39713 3361 24 triangles triangle NNS 39713 3361 25 the the DT 39713 3361 26 sum sum NN 39713 3361 27 of of IN 39713 3361 28 whose whose WP$ 39713 3361 29 angles angle NNS 39713 3361 30 is be VBZ 39713 3361 31 less less JJR 39713 3361 32 than than IN 39713 3361 33 two two CD 39713 3361 34 right right JJ 39713 3361 35 angles angle NNS 39713 3361 36 . . . 39713 3362 1 The the DT 39713 3362 2 existence existence NN 39713 3362 3 of of IN 39713 3362 4 the the DT 39713 3362 5 one one CD 39713 3362 6 sort sort NN 39713 3362 7 is be VBZ 39713 3362 8 not not RB 39713 3362 9 more more RBR 39713 3362 10 doubtful doubtful JJ 39713 3362 11 than than IN 39713 3362 12 that that DT 39713 3362 13 of of IN 39713 3362 14 the the DT 39713 3362 15 other other JJ 39713 3362 16 . . . 39713 3363 1 To to TO 39713 3363 2 give give VB 39713 3363 3 the the DT 39713 3363 4 name name NN 39713 3363 5 of of IN 39713 3363 6 straights straight NNS 39713 3363 7 to to IN 39713 3363 8 the the DT 39713 3363 9 sides side NNS 39713 3363 10 of of IN 39713 3363 11 the the DT 39713 3363 12 first first JJ 39713 3363 13 is be VBZ 39713 3363 14 to to TO 39713 3363 15 adopt adopt VB 39713 3363 16 Euclidean Euclidean NNP 39713 3363 17 geometry geometry NN 39713 3363 18 ; ; : 39713 3363 19 to to TO 39713 3363 20 give give VB 39713 3363 21 the the DT 39713 3363 22 name name NN 39713 3363 23 of of IN 39713 3363 24 straights straight NNS 39713 3363 25 to to IN 39713 3363 26 the the DT 39713 3363 27 sides side NNS 39713 3363 28 of of IN 39713 3363 29 the the DT 39713 3363 30 latter latter NN 39713 3363 31 is be VBZ 39713 3363 32 to to TO 39713 3363 33 adopt adopt VB 39713 3363 34 the the DT 39713 3363 35 non non JJ 39713 3363 36 - - JJ 39713 3363 37 Euclidean euclidean JJ 39713 3363 38 geometry geometry NN 39713 3363 39 . . . 39713 3364 1 So so IN 39713 3364 2 that that DT 39713 3364 3 to to TO 39713 3364 4 ask ask VB 39713 3364 5 what what WDT 39713 3364 6 geometry geometry NN 39713 3364 7 it -PRON- PRP 39713 3364 8 is be VBZ 39713 3364 9 proper proper JJ 39713 3364 10 to to TO 39713 3364 11 adopt adopt VB 39713 3364 12 is be VBZ 39713 3364 13 to to TO 39713 3364 14 ask ask VB 39713 3364 15 , , , 39713 3364 16 to to IN 39713 3364 17 what what WDT 39713 3364 18 line line NN 39713 3364 19 is be VBZ 39713 3364 20 it -PRON- PRP 39713 3364 21 proper proper JJ 39713 3364 22 to to TO 39713 3364 23 give give VB 39713 3364 24 the the DT 39713 3364 25 name name NN 39713 3364 26 straight straight RB 39713 3364 27 ? ? . 39713 3365 1 It -PRON- PRP 39713 3365 2 is be VBZ 39713 3365 3 evident evident JJ 39713 3365 4 that that DT 39713 3365 5 experiment experiment NN 39713 3365 6 can can MD 39713 3365 7 not not RB 39713 3365 8 settle settle VB 39713 3365 9 such such PDT 39713 3365 10 a a DT 39713 3365 11 question question NN 39713 3365 12 ; ; : 39713 3365 13 one one PRP 39713 3365 14 would would MD 39713 3365 15 not not RB 39713 3365 16 ask ask VB 39713 3365 17 , , , 39713 3365 18 for for IN 39713 3365 19 instance instance NN 39713 3365 20 , , , 39713 3365 21 experiment experiment NN 39713 3365 22 to to TO 39713 3365 23 decide decide VB 39713 3365 24 whether whether IN 39713 3365 25 I -PRON- PRP 39713 3365 26 should should MD 39713 3365 27 call call VB 39713 3365 28 _ _ NNP 39713 3365 29 AB AB NNP 39713 3365 30 _ _ NNP 39713 3365 31 or or CC 39713 3365 32 _ _ NNP 39713 3365 33 CD CD NNP 39713 3365 34 _ _ NNP 39713 3365 35 a a DT 39713 3365 36 straight straight NN 39713 3365 37 . . . 39713 3366 1 On on IN 39713 3366 2 the the DT 39713 3366 3 other other JJ 39713 3366 4 hand hand NN 39713 3366 5 , , , 39713 3366 6 neither neither CC 39713 3366 7 can can MD 39713 3366 8 I -PRON- PRP 39713 3366 9 say say VB 39713 3366 10 that that IN 39713 3366 11 I -PRON- PRP 39713 3366 12 have have VBP 39713 3366 13 not not RB 39713 3366 14 the the DT 39713 3366 15 right right NN 39713 3366 16 to to TO 39713 3366 17 give give VB 39713 3366 18 the the DT 39713 3366 19 name name NN 39713 3366 20 of of IN 39713 3366 21 straights straight NNS 39713 3366 22 to to IN 39713 3366 23 the the DT 39713 3366 24 sides side NNS 39713 3366 25 of of IN 39713 3366 26 non non JJ 39713 3366 27 - - JJ 39713 3366 28 Euclidean euclidean JJ 39713 3366 29 triangles triangle NNS 39713 3366 30 because because IN 39713 3366 31 they -PRON- PRP 39713 3366 32 are be VBP 39713 3366 33 not not RB 39713 3366 34 in in IN 39713 3366 35 conformity conformity NN 39713 3366 36 with with IN 39713 3366 37 the the DT 39713 3366 38 eternal eternal JJ 39713 3366 39 idea idea NN 39713 3366 40 of of IN 39713 3366 41 straight straight JJ 39713 3366 42 which which WDT 39713 3366 43 I -PRON- PRP 39713 3366 44 have have VBP 39713 3366 45 by by IN 39713 3366 46 intuition intuition NN 39713 3366 47 . . . 39713 3367 1 I -PRON- PRP 39713 3367 2 grant grant VBP 39713 3367 3 , , , 39713 3367 4 indeed indeed RB 39713 3367 5 , , , 39713 3367 6 that that IN 39713 3367 7 I -PRON- PRP 39713 3367 8 have have VBP 39713 3367 9 the the DT 39713 3367 10 intuitive intuitive JJ 39713 3367 11 idea idea NN 39713 3367 12 of of IN 39713 3367 13 the the DT 39713 3367 14 side side NN 39713 3367 15 of of IN 39713 3367 16 the the DT 39713 3367 17 Euclidean euclidean JJ 39713 3367 18 triangle triangle NN 39713 3367 19 , , , 39713 3367 20 but but CC 39713 3367 21 I -PRON- PRP 39713 3367 22 have have VBP 39713 3367 23 equally equally RB 39713 3367 24 the the DT 39713 3367 25 intuitive intuitive JJ 39713 3367 26 idea idea NN 39713 3367 27 of of IN 39713 3367 28 the the DT 39713 3367 29 side side NN 39713 3367 30 of of IN 39713 3367 31 the the DT 39713 3367 32 non non JJ 39713 3367 33 - - JJ 39713 3367 34 Euclidean euclidean JJ 39713 3367 35 triangle triangle NN 39713 3367 36 . . . 39713 3368 1 Why why WRB 39713 3368 2 should should MD 39713 3368 3 I -PRON- PRP 39713 3368 4 have have VB 39713 3368 5 the the DT 39713 3368 6 right right NN 39713 3368 7 to to TO 39713 3368 8 apply apply VB 39713 3368 9 the the DT 39713 3368 10 name name NN 39713 3368 11 of of IN 39713 3368 12 straight straight RB 39713 3368 13 to to IN 39713 3368 14 the the DT 39713 3368 15 first first JJ 39713 3368 16 of of IN 39713 3368 17 these these DT 39713 3368 18 ideas idea NNS 39713 3368 19 and and CC 39713 3368 20 not not RB 39713 3368 21 to to IN 39713 3368 22 the the DT 39713 3368 23 second second JJ 39713 3368 24 ? ? . 39713 3369 1 Wherein wherein WRB 39713 3369 2 does do VBZ 39713 3369 3 this this DT 39713 3369 4 syllable syllable JJ 39713 3369 5 form form VB 39713 3369 6 an an DT 39713 3369 7 integrant integrant JJ 39713 3369 8 part part NN 39713 3369 9 of of IN 39713 3369 10 this this DT 39713 3369 11 intuitive intuitive JJ 39713 3369 12 idea idea NN 39713 3369 13 ? ? . 39713 3370 1 Evidently evidently RB 39713 3370 2 when when WRB 39713 3370 3 we -PRON- PRP 39713 3370 4 say say VBP 39713 3370 5 that that IN 39713 3370 6 the the DT 39713 3370 7 Euclidean euclidean JJ 39713 3370 8 straight straight NN 39713 3370 9 is be VBZ 39713 3370 10 a a DT 39713 3370 11 _ _ NNP 39713 3370 12 true true JJ 39713 3370 13 _ _ NNP 39713 3370 14 straight straight RB 39713 3370 15 and and CC 39713 3370 16 that that IN 39713 3370 17 the the DT 39713 3370 18 non non JJ 39713 3370 19 - - JJ 39713 3370 20 Euclidean euclidean JJ 39713 3370 21 straight straight NN 39713 3370 22 is be VBZ 39713 3370 23 not not RB 39713 3370 24 a a DT 39713 3370 25 true true JJ 39713 3370 26 straight straight NN 39713 3370 27 , , , 39713 3370 28 we -PRON- PRP 39713 3370 29 simply simply RB 39713 3370 30 mean mean VBP 39713 3370 31 that that IN 39713 3370 32 the the DT 39713 3370 33 first first JJ 39713 3370 34 intuitive intuitive JJ 39713 3370 35 idea idea NN 39713 3370 36 corresponds correspond VBZ 39713 3370 37 to to IN 39713 3370 38 a a DT 39713 3370 39 _ _ NN 39713 3370 40 more more RBR 39713 3370 41 noteworthy noteworthy JJ 39713 3370 42 _ _ NNP 39713 3370 43 object object NN 39713 3370 44 than than IN 39713 3370 45 the the DT 39713 3370 46 second second JJ 39713 3370 47 . . . 39713 3371 1 But but CC 39713 3371 2 how how WRB 39713 3371 3 do do VBP 39713 3371 4 we -PRON- PRP 39713 3371 5 decide decide VB 39713 3371 6 that that IN 39713 3371 7 this this DT 39713 3371 8 object object NN 39713 3371 9 is be VBZ 39713 3371 10 more more RBR 39713 3371 11 noteworthy noteworthy JJ 39713 3371 12 ? ? . 39713 3372 1 This this DT 39713 3372 2 question question NN 39713 3372 3 I -PRON- PRP 39713 3372 4 have have VBP 39713 3372 5 investigated investigate VBN 39713 3372 6 in in IN 39713 3372 7 ' ' `` 39713 3372 8 Science Science NNP 39713 3372 9 and and CC 39713 3372 10 Hypothesis Hypothesis NNP 39713 3372 11 . . . 39713 3372 12 ' ' '' 39713 3373 1 It -PRON- PRP 39713 3373 2 is be VBZ 39713 3373 3 here here RB 39713 3373 4 that that IN 39713 3373 5 we -PRON- PRP 39713 3373 6 saw see VBD 39713 3373 7 experience experience NN 39713 3373 8 come come VB 39713 3373 9 in in RP 39713 3373 10 . . . 39713 3374 1 If if IN 39713 3374 2 the the DT 39713 3374 3 Euclidean euclidean JJ 39713 3374 4 straight straight NN 39713 3374 5 is be VBZ 39713 3374 6 more more RBR 39713 3374 7 noteworthy noteworthy JJ 39713 3374 8 than than IN 39713 3374 9 the the DT 39713 3374 10 non non JJ 39713 3374 11 - - JJ 39713 3374 12 Euclidean euclidean JJ 39713 3374 13 straight straight NN 39713 3374 14 , , , 39713 3374 15 it -PRON- PRP 39713 3374 16 is be VBZ 39713 3374 17 so so RB 39713 3374 18 chiefly chiefly RB 39713 3374 19 because because IN 39713 3374 20 it -PRON- PRP 39713 3374 21 differs differ VBZ 39713 3374 22 little little JJ 39713 3374 23 from from IN 39713 3374 24 certain certain JJ 39713 3374 25 noteworthy noteworthy JJ 39713 3374 26 natural natural JJ 39713 3374 27 objects object NNS 39713 3374 28 from from IN 39713 3374 29 which which WDT 39713 3374 30 the the DT 39713 3374 31 non non JJ 39713 3374 32 - - JJ 39713 3374 33 Euclidean euclidean JJ 39713 3374 34 straight straight JJ 39713 3374 35 differs differ NNS 39713 3374 36 greatly greatly RB 39713 3374 37 . . . 39713 3375 1 But but CC 39713 3375 2 , , , 39713 3375 3 it -PRON- PRP 39713 3375 4 will will MD 39713 3375 5 be be VB 39713 3375 6 said say VBN 39713 3375 7 , , , 39713 3375 8 the the DT 39713 3375 9 definition definition NN 39713 3375 10 of of IN 39713 3375 11 the the DT 39713 3375 12 non non JJ 39713 3375 13 - - JJ 39713 3375 14 Euclidean euclidean JJ 39713 3375 15 straight straight NN 39713 3375 16 is be VBZ 39713 3375 17 artificial artificial JJ 39713 3375 18 ; ; : 39713 3375 19 if if IN 39713 3375 20 we -PRON- PRP 39713 3375 21 for for IN 39713 3375 22 a a DT 39713 3375 23 moment moment NN 39713 3375 24 adopt adopt VB 39713 3375 25 it -PRON- PRP 39713 3375 26 , , , 39713 3375 27 we -PRON- PRP 39713 3375 28 shall shall MD 39713 3375 29 see see VB 39713 3375 30 that that IN 39713 3375 31 two two CD 39713 3375 32 circles circle NNS 39713 3375 33 of of IN 39713 3375 34 different different JJ 39713 3375 35 radius radius NN 39713 3375 36 both both DT 39713 3375 37 receive receive VBP 39713 3375 38 the the DT 39713 3375 39 name name NN 39713 3375 40 of of IN 39713 3375 41 non non JJ 39713 3375 42 - - JJ 39713 3375 43 Euclidean euclidean JJ 39713 3375 44 straights straight NNS 39713 3375 45 , , , 39713 3375 46 while while IN 39713 3375 47 of of IN 39713 3375 48 two two CD 39713 3375 49 circles circle NNS 39713 3375 50 of of IN 39713 3375 51 the the DT 39713 3375 52 same same JJ 39713 3375 53 radius radius NN 39713 3375 54 one one PRP 39713 3375 55 can can MD 39713 3375 56 satisfy satisfy VB 39713 3375 57 the the DT 39713 3375 58 definition definition NN 39713 3375 59 without without IN 39713 3375 60 the the DT 39713 3375 61 other other JJ 39713 3375 62 being be VBG 39713 3375 63 able able JJ 39713 3375 64 to to TO 39713 3375 65 satisfy satisfy VB 39713 3375 66 it -PRON- PRP 39713 3375 67 , , , 39713 3375 68 and and CC 39713 3375 69 then then RB 39713 3375 70 if if IN 39713 3375 71 we -PRON- PRP 39713 3375 72 transport transport VBP 39713 3375 73 one one CD 39713 3375 74 of of IN 39713 3375 75 these these DT 39713 3375 76 so so RB 39713 3375 77 - - HYPH 39713 3375 78 called call VBN 39713 3375 79 straights straight NNS 39713 3375 80 without without IN 39713 3375 81 deforming deform VBG 39713 3375 82 it -PRON- PRP 39713 3375 83 , , , 39713 3375 84 it -PRON- PRP 39713 3375 85 will will MD 39713 3375 86 cease cease VB 39713 3375 87 to to TO 39713 3375 88 be be VB 39713 3375 89 a a DT 39713 3375 90 straight straight NN 39713 3375 91 . . . 39713 3376 1 But but CC 39713 3376 2 by by IN 39713 3376 3 what what WDT 39713 3376 4 right right NN 39713 3376 5 do do VBP 39713 3376 6 we -PRON- PRP 39713 3376 7 consider consider VB 39713 3376 8 as as RB 39713 3376 9 equal equal JJ 39713 3376 10 these these DT 39713 3376 11 two two CD 39713 3376 12 figures figure NNS 39713 3376 13 which which WDT 39713 3376 14 the the DT 39713 3376 15 Euclidean euclidean JJ 39713 3376 16 geometers geometer NNS 39713 3376 17 call call VBP 39713 3376 18 two two CD 39713 3376 19 circles circle NNS 39713 3376 20 with with IN 39713 3376 21 the the DT 39713 3376 22 same same JJ 39713 3376 23 radius radius NN 39713 3376 24 ? ? . 39713 3377 1 It -PRON- PRP 39713 3377 2 is be VBZ 39713 3377 3 because because IN 39713 3377 4 by by IN 39713 3377 5 transporting transport VBG 39713 3377 6 one one CD 39713 3377 7 of of IN 39713 3377 8 them -PRON- PRP 39713 3377 9 without without IN 39713 3377 10 deforming deform VBG 39713 3377 11 it -PRON- PRP 39713 3377 12 we -PRON- PRP 39713 3377 13 can can MD 39713 3377 14 make make VB 39713 3377 15 it -PRON- PRP 39713 3377 16 coincide coincide VB 39713 3377 17 with with IN 39713 3377 18 the the DT 39713 3377 19 other other JJ 39713 3377 20 . . . 39713 3378 1 And and CC 39713 3378 2 why why WRB 39713 3378 3 do do VBP 39713 3378 4 we -PRON- PRP 39713 3378 5 say say VB 39713 3378 6 this this DT 39713 3378 7 transportation transportation NN 39713 3378 8 is be VBZ 39713 3378 9 effected effect VBN 39713 3378 10 without without IN 39713 3378 11 deformation deformation NN 39713 3378 12 ? ? . 39713 3379 1 It -PRON- PRP 39713 3379 2 is be VBZ 39713 3379 3 impossible impossible JJ 39713 3379 4 to to TO 39713 3379 5 give give VB 39713 3379 6 a a DT 39713 3379 7 good good JJ 39713 3379 8 reason reason NN 39713 3379 9 for for IN 39713 3379 10 it -PRON- PRP 39713 3379 11 . . . 39713 3380 1 Among among IN 39713 3380 2 all all PDT 39713 3380 3 the the DT 39713 3380 4 motions motion NNS 39713 3380 5 conceivable conceivable JJ 39713 3380 6 , , , 39713 3380 7 there there EX 39713 3380 8 are be VBP 39713 3380 9 some some DT 39713 3380 10 of of IN 39713 3380 11 which which WDT 39713 3380 12 the the DT 39713 3380 13 Euclidean euclidean JJ 39713 3380 14 geometers geometer NNS 39713 3380 15 say say VBP 39713 3380 16 that that IN 39713 3380 17 they -PRON- PRP 39713 3380 18 are be VBP 39713 3380 19 not not RB 39713 3380 20 accompanied accompany VBN 39713 3380 21 by by IN 39713 3380 22 deformation deformation NN 39713 3380 23 ; ; : 39713 3380 24 but but CC 39713 3380 25 there there EX 39713 3380 26 are be VBP 39713 3380 27 others other NNS 39713 3380 28 of of IN 39713 3380 29 which which WDT 39713 3380 30 the the DT 39713 3380 31 non non JJ 39713 3380 32 - - JJ 39713 3380 33 Euclidean euclidean JJ 39713 3380 34 geometers geometer NNS 39713 3380 35 would would MD 39713 3380 36 say say VB 39713 3380 37 that that IN 39713 3380 38 they -PRON- PRP 39713 3380 39 are be VBP 39713 3380 40 not not RB 39713 3380 41 accompanied accompany VBN 39713 3380 42 by by IN 39713 3380 43 deformation deformation NN 39713 3380 44 . . . 39713 3381 1 In in IN 39713 3381 2 the the DT 39713 3381 3 first first JJ 39713 3381 4 , , , 39713 3381 5 called call VBN 39713 3381 6 Euclidean euclidean JJ 39713 3381 7 motions motion NNS 39713 3381 8 , , , 39713 3381 9 the the DT 39713 3381 10 Euclidean euclidean JJ 39713 3381 11 straights straight NNS 39713 3381 12 remain remain VBP 39713 3381 13 Euclidean euclidean JJ 39713 3381 14 straights straight NNS 39713 3381 15 and and CC 39713 3381 16 the the DT 39713 3381 17 non non JJ 39713 3381 18 - - JJ 39713 3381 19 Euclidean euclidean JJ 39713 3381 20 straights straight NNS 39713 3381 21 do do VBP 39713 3381 22 not not RB 39713 3381 23 remain remain VB 39713 3381 24 non non JJ 39713 3381 25 - - JJ 39713 3381 26 Euclidean euclidean JJ 39713 3381 27 straights straight NNS 39713 3381 28 ; ; : 39713 3381 29 in in IN 39713 3381 30 the the DT 39713 3381 31 motions motion NNS 39713 3381 32 of of IN 39713 3381 33 the the DT 39713 3381 34 second second JJ 39713 3381 35 sort sort NN 39713 3381 36 , , , 39713 3381 37 or or CC 39713 3381 38 non non JJ 39713 3381 39 - - JJ 39713 3381 40 Euclidean euclidean JJ 39713 3381 41 motions motion NNS 39713 3381 42 , , , 39713 3381 43 the the DT 39713 3381 44 non non JJ 39713 3381 45 - - JJ 39713 3381 46 Euclidean euclidean JJ 39713 3381 47 straights straight NNS 39713 3381 48 remain remain VBP 39713 3381 49 non non JJ 39713 3381 50 - - JJ 39713 3381 51 Euclidean euclidean JJ 39713 3381 52 straights straight NNS 39713 3381 53 and and CC 39713 3381 54 the the DT 39713 3381 55 Euclidean euclidean JJ 39713 3381 56 straights straight NNS 39713 3381 57 do do VBP 39713 3381 58 not not RB 39713 3381 59 remain remain VB 39713 3381 60 Euclidean euclidean JJ 39713 3381 61 straights straight NNS 39713 3381 62 . . . 39713 3382 1 It -PRON- PRP 39713 3382 2 has have VBZ 39713 3382 3 , , , 39713 3382 4 therefore therefore RB 39713 3382 5 , , , 39713 3382 6 not not RB 39713 3382 7 been be VBN 39713 3382 8 demonstrated demonstrate VBN 39713 3382 9 that that IN 39713 3382 10 it -PRON- PRP 39713 3382 11 was be VBD 39713 3382 12 unreasonable unreasonable JJ 39713 3382 13 to to TO 39713 3382 14 call call VB 39713 3382 15 straights straight NNS 39713 3382 16 the the DT 39713 3382 17 sides side NNS 39713 3382 18 of of IN 39713 3382 19 non non JJ 39713 3382 20 - - JJ 39713 3382 21 Euclidean euclidean JJ 39713 3382 22 triangles triangle NNS 39713 3382 23 ; ; : 39713 3382 24 it -PRON- PRP 39713 3382 25 has have VBZ 39713 3382 26 only only RB 39713 3382 27 been be VBN 39713 3382 28 shown show VBN 39713 3382 29 that that IN 39713 3382 30 that that DT 39713 3382 31 would would MD 39713 3382 32 be be VB 39713 3382 33 unreasonable unreasonable JJ 39713 3382 34 if if IN 39713 3382 35 one one CD 39713 3382 36 continued continue VBD 39713 3382 37 to to TO 39713 3382 38 call call VB 39713 3382 39 the the DT 39713 3382 40 Euclidean euclidean JJ 39713 3382 41 motions motion NNS 39713 3382 42 motions motion NNS 39713 3382 43 without without IN 39713 3382 44 deformation deformation NN 39713 3382 45 ; ; : 39713 3382 46 but but CC 39713 3382 47 it -PRON- PRP 39713 3382 48 has have VBZ 39713 3382 49 at at IN 39713 3382 50 the the DT 39713 3382 51 same same JJ 39713 3382 52 time time NN 39713 3382 53 been be VBN 39713 3382 54 shown show VBN 39713 3382 55 that that IN 39713 3382 56 it -PRON- PRP 39713 3382 57 would would MD 39713 3382 58 be be VB 39713 3382 59 just just RB 39713 3382 60 as as RB 39713 3382 61 unreasonable unreasonable JJ 39713 3382 62 to to TO 39713 3382 63 call call VB 39713 3382 64 straights straight NNS 39713 3382 65 the the DT 39713 3382 66 sides side NNS 39713 3382 67 of of IN 39713 3382 68 Euclidean euclidean JJ 39713 3382 69 triangles triangle NNS 39713 3382 70 if if IN 39713 3382 71 the the DT 39713 3382 72 non non JJ 39713 3382 73 - - JJ 39713 3382 74 Euclidean euclidean JJ 39713 3382 75 motions motion NNS 39713 3382 76 were be VBD 39713 3382 77 called call VBN 39713 3382 78 motions motion NNS 39713 3382 79 without without IN 39713 3382 80 deformation deformation NN 39713 3382 81 . . . 39713 3383 1 Now now RB 39713 3383 2 when when WRB 39713 3383 3 we -PRON- PRP 39713 3383 4 say say VBP 39713 3383 5 that that IN 39713 3383 6 the the DT 39713 3383 7 Euclidean euclidean JJ 39713 3383 8 motions motion NNS 39713 3383 9 are be VBP 39713 3383 10 the the DT 39713 3383 11 _ _ NNP 39713 3383 12 true true JJ 39713 3383 13 _ _ NNP 39713 3383 14 motions motion NNS 39713 3383 15 without without IN 39713 3383 16 deformation deformation NN 39713 3383 17 , , , 39713 3383 18 what what WP 39713 3383 19 do do VBP 39713 3383 20 we -PRON- PRP 39713 3383 21 mean mean VB 39713 3383 22 ? ? . 39713 3384 1 We -PRON- PRP 39713 3384 2 simply simply RB 39713 3384 3 mean mean VBP 39713 3384 4 that that IN 39713 3384 5 they -PRON- PRP 39713 3384 6 are be VBP 39713 3384 7 _ _ NNP 39713 3384 8 more more RBR 39713 3384 9 noteworthy noteworthy JJ 39713 3384 10 _ _ NNP 39713 3384 11 than than IN 39713 3384 12 the the DT 39713 3384 13 others other NNS 39713 3384 14 . . . 39713 3385 1 And and CC 39713 3385 2 why why WRB 39713 3385 3 are be VBP 39713 3385 4 they -PRON- PRP 39713 3385 5 more more RBR 39713 3385 6 noteworthy noteworthy JJ 39713 3385 7 ? ? . 39713 3386 1 It -PRON- PRP 39713 3386 2 is be VBZ 39713 3386 3 because because IN 39713 3386 4 certain certain JJ 39713 3386 5 noteworthy noteworthy JJ 39713 3386 6 natural natural JJ 39713 3386 7 bodies body NNS 39713 3386 8 , , , 39713 3386 9 the the DT 39713 3386 10 solid solid JJ 39713 3386 11 bodies body NNS 39713 3386 12 , , , 39713 3386 13 undergo undergo VBP 39713 3386 14 motions motion NNS 39713 3386 15 almost almost RB 39713 3386 16 similar similar JJ 39713 3386 17 . . . 39713 3387 1 And and CC 39713 3387 2 then then RB 39713 3387 3 when when WRB 39713 3387 4 we -PRON- PRP 39713 3387 5 ask ask VBP 39713 3387 6 : : : 39713 3387 7 Can Can MD 39713 3387 8 one one PRP 39713 3387 9 imagine imagine VB 39713 3387 10 non non JJ 39713 3387 11 - - JJ 39713 3387 12 Euclidean euclidean JJ 39713 3387 13 space space NN 39713 3387 14 ? ? . 39713 3388 1 That that DT 39713 3388 2 means mean VBZ 39713 3388 3 : : : 39713 3388 4 Can Can MD 39713 3388 5 we -PRON- PRP 39713 3388 6 imagine imagine VB 39713 3388 7 a a DT 39713 3388 8 world world NN 39713 3388 9 where where WRB 39713 3388 10 there there EX 39713 3388 11 would would MD 39713 3388 12 be be VB 39713 3388 13 noteworthy noteworthy JJ 39713 3388 14 natural natural JJ 39713 3388 15 objects object NNS 39713 3388 16 affecting affect VBG 39713 3388 17 almost almost RB 39713 3388 18 the the DT 39713 3388 19 form form NN 39713 3388 20 of of IN 39713 3388 21 non non JJ 39713 3388 22 - - JJ 39713 3388 23 Euclidean euclidean JJ 39713 3388 24 straights straight NNS 39713 3388 25 , , , 39713 3388 26 and and CC 39713 3388 27 noteworthy noteworthy JJ 39713 3388 28 natural natural JJ 39713 3388 29 bodies body NNS 39713 3388 30 frequently frequently RB 39713 3388 31 undergoing undergo VBG 39713 3388 32 motions motion NNS 39713 3388 33 almost almost RB 39713 3388 34 similar similar JJ 39713 3388 35 to to IN 39713 3388 36 the the DT 39713 3388 37 non non JJ 39713 3388 38 - - JJ 39713 3388 39 Euclidean euclidean JJ 39713 3388 40 motions motion NNS 39713 3388 41 ? ? . 39713 3389 1 I -PRON- PRP 39713 3389 2 have have VBP 39713 3389 3 shown show VBN 39713 3389 4 in in IN 39713 3389 5 ' ' `` 39713 3389 6 Science Science NNP 39713 3389 7 and and CC 39713 3389 8 Hypothesis Hypothesis NNP 39713 3389 9 ' ' '' 39713 3389 10 that that DT 39713 3389 11 to to IN 39713 3389 12 this this DT 39713 3389 13 question question NN 39713 3389 14 we -PRON- PRP 39713 3389 15 must must MD 39713 3389 16 answer answer VB 39713 3389 17 yes yes UH 39713 3389 18 . . . 39713 3390 1 It -PRON- PRP 39713 3390 2 has have VBZ 39713 3390 3 often often RB 39713 3390 4 been be VBN 39713 3390 5 observed observe VBN 39713 3390 6 that that IN 39713 3390 7 if if IN 39713 3390 8 all all PDT 39713 3390 9 the the DT 39713 3390 10 bodies body NNS 39713 3390 11 in in IN 39713 3390 12 the the DT 39713 3390 13 universe universe NN 39713 3390 14 were be VBD 39713 3390 15 dilated dilate VBN 39713 3390 16 simultaneously simultaneously RB 39713 3390 17 and and CC 39713 3390 18 in in IN 39713 3390 19 the the DT 39713 3390 20 same same JJ 39713 3390 21 proportion proportion NN 39713 3390 22 , , , 39713 3390 23 we -PRON- PRP 39713 3390 24 should should MD 39713 3390 25 have have VB 39713 3390 26 no no DT 39713 3390 27 means means NN 39713 3390 28 of of IN 39713 3390 29 perceiving perceive VBG 39713 3390 30 it -PRON- PRP 39713 3390 31 , , , 39713 3390 32 since since IN 39713 3390 33 all all DT 39713 3390 34 our -PRON- PRP$ 39713 3390 35 measuring measure VBG 39713 3390 36 instruments instrument NNS 39713 3390 37 would would MD 39713 3390 38 grow grow VB 39713 3390 39 at at IN 39713 3390 40 the the DT 39713 3390 41 same same JJ 39713 3390 42 time time NN 39713 3390 43 as as IN 39713 3390 44 the the DT 39713 3390 45 objects object NNS 39713 3390 46 themselves -PRON- PRP 39713 3390 47 which which WDT 39713 3390 48 they -PRON- PRP 39713 3390 49 serve serve VBP 39713 3390 50 to to TO 39713 3390 51 measure measure VB 39713 3390 52 . . . 39713 3391 1 The the DT 39713 3391 2 world world NN 39713 3391 3 , , , 39713 3391 4 after after IN 39713 3391 5 this this DT 39713 3391 6 dilatation dilatation NN 39713 3391 7 , , , 39713 3391 8 would would MD 39713 3391 9 continue continue VB 39713 3391 10 on on IN 39713 3391 11 its -PRON- PRP$ 39713 3391 12 course course NN 39713 3391 13 without without IN 39713 3391 14 anything anything NN 39713 3391 15 apprising apprise VBG 39713 3391 16 us -PRON- PRP 39713 3391 17 of of IN 39713 3391 18 so so RB 39713 3391 19 considerable considerable JJ 39713 3391 20 an an DT 39713 3391 21 event event NN 39713 3391 22 . . . 39713 3392 1 In in IN 39713 3392 2 other other JJ 39713 3392 3 words word NNS 39713 3392 4 , , , 39713 3392 5 two two CD 39713 3392 6 worlds world NNS 39713 3392 7 similar similar JJ 39713 3392 8 to to IN 39713 3392 9 one one CD 39713 3392 10 another another DT 39713 3392 11 ( ( -LRB- 39713 3392 12 understanding understand VBG 39713 3392 13 the the DT 39713 3392 14 word word NN 39713 3392 15 similitude similitude NN 39713 3392 16 in in IN 39713 3392 17 the the DT 39713 3392 18 sense sense NN 39713 3392 19 of of IN 39713 3392 20 Euclid Euclid NNP 39713 3392 21 , , , 39713 3392 22 Book Book NNP 39713 3392 23 VI VI NNP 39713 3392 24 . . . 39713 3392 25 ) ) -RRB- 39713 3393 1 would would MD 39713 3393 2 be be VB 39713 3393 3 absolutely absolutely RB 39713 3393 4 indistinguishable indistinguishable JJ 39713 3393 5 . . . 39713 3394 1 But but CC 39713 3394 2 more more RBR 39713 3394 3 ; ; : 39713 3394 4 worlds world NNS 39713 3394 5 will will MD 39713 3394 6 be be VB 39713 3394 7 indistinguishable indistinguishable JJ 39713 3394 8 not not RB 39713 3394 9 only only RB 39713 3394 10 if if IN 39713 3394 11 they -PRON- PRP 39713 3394 12 are be VBP 39713 3394 13 equal equal JJ 39713 3394 14 or or CC 39713 3394 15 similar similar JJ 39713 3394 16 , , , 39713 3394 17 that that RB 39713 3394 18 is is RB 39713 3394 19 , , , 39713 3394 20 if if IN 39713 3394 21 we -PRON- PRP 39713 3394 22 can can MD 39713 3394 23 pass pass VB 39713 3394 24 from from IN 39713 3394 25 one one CD 39713 3394 26 to to IN 39713 3394 27 the the DT 39713 3394 28 other other JJ 39713 3394 29 by by IN 39713 3394 30 changing change VBG 39713 3394 31 the the DT 39713 3394 32 axes axis NNS 39713 3394 33 of of IN 39713 3394 34 coordinates coordinate NNS 39713 3394 35 , , , 39713 3394 36 or or CC 39713 3394 37 by by IN 39713 3394 38 changing change VBG 39713 3394 39 the the DT 39713 3394 40 scale scale NN 39713 3394 41 to to IN 39713 3394 42 which which WDT 39713 3394 43 lengths length NNS 39713 3394 44 are be VBP 39713 3394 45 referred refer VBN 39713 3394 46 ; ; : 39713 3394 47 but but CC 39713 3394 48 they -PRON- PRP 39713 3394 49 will will MD 39713 3394 50 still still RB 39713 3394 51 be be VB 39713 3394 52 indistinguishable indistinguishable JJ 39713 3394 53 if if IN 39713 3394 54 we -PRON- PRP 39713 3394 55 can can MD 39713 3394 56 pass pass VB 39713 3394 57 from from IN 39713 3394 58 one one CD 39713 3394 59 to to IN 39713 3394 60 the the DT 39713 3394 61 other other JJ 39713 3394 62 by by IN 39713 3394 63 any any DT 39713 3394 64 ' ' `` 39713 3394 65 point point NN 39713 3394 66 - - HYPH 39713 3394 67 transformation transformation NN 39713 3394 68 ' ' '' 39713 3394 69 whatever whatever WDT 39713 3394 70 . . . 39713 3395 1 I -PRON- PRP 39713 3395 2 will will MD 39713 3395 3 explain explain VB 39713 3395 4 my -PRON- PRP$ 39713 3395 5 meaning meaning NN 39713 3395 6 . . . 39713 3396 1 I -PRON- PRP 39713 3396 2 suppose suppose VBP 39713 3396 3 that that IN 39713 3396 4 to to IN 39713 3396 5 each each DT 39713 3396 6 point point NN 39713 3396 7 of of IN 39713 3396 8 one one CD 39713 3396 9 corresponds correspond VBZ 39713 3396 10 one one CD 39713 3396 11 point point NN 39713 3396 12 of of IN 39713 3396 13 the the DT 39713 3396 14 other other JJ 39713 3396 15 and and CC 39713 3396 16 only only RB 39713 3396 17 one one CD 39713 3396 18 , , , 39713 3396 19 and and CC 39713 3396 20 inversely inversely RB 39713 3396 21 ; ; : 39713 3396 22 and and CC 39713 3396 23 besides besides IN 39713 3396 24 that that DT 39713 3396 25 the the DT 39713 3396 26 coordinates coordinate NNS 39713 3396 27 of of IN 39713 3396 28 a a DT 39713 3396 29 point point NN 39713 3396 30 are be VBP 39713 3396 31 continuous continuous JJ 39713 3396 32 functions function NNS 39713 3396 33 , , , 39713 3396 34 _ _ NNP 39713 3396 35 otherwise otherwise RB 39713 3396 36 altogether altogether RB 39713 3396 37 arbitrary arbitrary JJ 39713 3396 38 _ _ NNP 39713 3396 39 , , , 39713 3396 40 of of IN 39713 3396 41 the the DT 39713 3396 42 corresponding corresponding JJ 39713 3396 43 point point NN 39713 3396 44 . . . 39713 3397 1 I -PRON- PRP 39713 3397 2 suppose suppose VBP 39713 3397 3 besides besides IN 39713 3397 4 that that DT 39713 3397 5 to to IN 39713 3397 6 each each DT 39713 3397 7 object object NN 39713 3397 8 of of IN 39713 3397 9 the the DT 39713 3397 10 first first JJ 39713 3397 11 world world NN 39713 3397 12 corresponds correspond VBZ 39713 3397 13 in in IN 39713 3397 14 the the DT 39713 3397 15 second second JJ 39713 3397 16 an an DT 39713 3397 17 object object NN 39713 3397 18 of of IN 39713 3397 19 the the DT 39713 3397 20 same same JJ 39713 3397 21 nature nature NN 39713 3397 22 placed place VBN 39713 3397 23 precisely precisely RB 39713 3397 24 at at IN 39713 3397 25 the the DT 39713 3397 26 corresponding corresponding JJ 39713 3397 27 point point NN 39713 3397 28 . . . 39713 3398 1 I -PRON- PRP 39713 3398 2 suppose suppose VBP 39713 3398 3 finally finally RB 39713 3398 4 that that IN 39713 3398 5 this this DT 39713 3398 6 correspondence correspondence NN 39713 3398 7 fulfilled fulfil VBN 39713 3398 8 at at IN 39713 3398 9 the the DT 39713 3398 10 initial initial JJ 39713 3398 11 instant instant NN 39713 3398 12 is be VBZ 39713 3398 13 maintained maintain VBN 39713 3398 14 indefinitely indefinitely RB 39713 3398 15 . . . 39713 3399 1 We -PRON- PRP 39713 3399 2 should should MD 39713 3399 3 have have VB 39713 3399 4 no no DT 39713 3399 5 means means NN 39713 3399 6 of of IN 39713 3399 7 distinguishing distinguish VBG 39713 3399 8 these these DT 39713 3399 9 two two CD 39713 3399 10 worlds world NNS 39713 3399 11 one one CD 39713 3399 12 from from IN 39713 3399 13 the the DT 39713 3399 14 other other JJ 39713 3399 15 . . . 39713 3400 1 The the DT 39713 3400 2 relativity relativity NN 39713 3400 3 of of IN 39713 3400 4 space space NN 39713 3400 5 is be VBZ 39713 3400 6 not not RB 39713 3400 7 ordinarily ordinarily RB 39713 3400 8 understood understand VBN 39713 3400 9 in in IN 39713 3400 10 so so RB 39713 3400 11 broad broad JJ 39713 3400 12 a a DT 39713 3400 13 sense sense NN 39713 3400 14 ; ; : 39713 3400 15 it -PRON- PRP 39713 3400 16 is be VBZ 39713 3400 17 thus thus RB 39713 3400 18 , , , 39713 3400 19 however however RB 39713 3400 20 , , , 39713 3400 21 that that IN 39713 3400 22 it -PRON- PRP 39713 3400 23 would would MD 39713 3400 24 be be VB 39713 3400 25 proper proper JJ 39713 3400 26 to to TO 39713 3400 27 understand understand VB 39713 3400 28 it -PRON- PRP 39713 3400 29 . . . 39713 3401 1 If if IN 39713 3401 2 one one CD 39713 3401 3 of of IN 39713 3401 4 these these DT 39713 3401 5 universes universe NNS 39713 3401 6 is be VBZ 39713 3401 7 our -PRON- PRP$ 39713 3401 8 Euclidean euclidean JJ 39713 3401 9 world world NN 39713 3401 10 , , , 39713 3401 11 what what WP 39713 3401 12 its -PRON- PRP$ 39713 3401 13 inhabitants inhabitant NNS 39713 3401 14 will will MD 39713 3401 15 call call VB 39713 3401 16 straight straight RB 39713 3401 17 will will MD 39713 3401 18 be be VB 39713 3401 19 our -PRON- PRP$ 39713 3401 20 Euclidean euclidean JJ 39713 3401 21 straight straight NN 39713 3401 22 ; ; : 39713 3401 23 but but CC 39713 3401 24 what what WP 39713 3401 25 the the DT 39713 3401 26 inhabitants inhabitant NNS 39713 3401 27 of of IN 39713 3401 28 the the DT 39713 3401 29 second second JJ 39713 3401 30 world world NN 39713 3401 31 will will MD 39713 3401 32 call call VB 39713 3401 33 straight straight RB 39713 3401 34 will will MD 39713 3401 35 be be VB 39713 3401 36 a a DT 39713 3401 37 curve curve NN 39713 3401 38 which which WDT 39713 3401 39 will will MD 39713 3401 40 have have VB 39713 3401 41 the the DT 39713 3401 42 same same JJ 39713 3401 43 properties property NNS 39713 3401 44 in in IN 39713 3401 45 relation relation NN 39713 3401 46 to to IN 39713 3401 47 the the DT 39713 3401 48 world world NN 39713 3401 49 they -PRON- PRP 39713 3401 50 inhabit inhabit VBP 39713 3401 51 and and CC 39713 3401 52 in in IN 39713 3401 53 relation relation NN 39713 3401 54 to to IN 39713 3401 55 the the DT 39713 3401 56 motions motion NNS 39713 3401 57 that that IN 39713 3401 58 they -PRON- PRP 39713 3401 59 will will MD 39713 3401 60 call call VB 39713 3401 61 motions motion NNS 39713 3401 62 without without IN 39713 3401 63 deformation deformation NN 39713 3401 64 . . . 39713 3402 1 Their -PRON- PRP$ 39713 3402 2 geometry geometry NN 39713 3402 3 will will MD 39713 3402 4 , , , 39713 3402 5 therefore therefore RB 39713 3402 6 , , , 39713 3402 7 be be VB 39713 3402 8 Euclidean euclidean JJ 39713 3402 9 geometry geometry NN 39713 3402 10 , , , 39713 3402 11 but but CC 39713 3402 12 their -PRON- PRP$ 39713 3402 13 straight straight JJ 39713 3402 14 will will MD 39713 3402 15 not not RB 39713 3402 16 be be VB 39713 3402 17 our -PRON- PRP$ 39713 3402 18 Euclidean euclidean JJ 39713 3402 19 straight straight NN 39713 3402 20 . . . 39713 3403 1 It -PRON- PRP 39713 3403 2 will will MD 39713 3403 3 be be VB 39713 3403 4 its -PRON- PRP$ 39713 3403 5 transform transform NN 39713 3403 6 by by IN 39713 3403 7 the the DT 39713 3403 8 point point NN 39713 3403 9 - - HYPH 39713 3403 10 transformation transformation NN 39713 3403 11 which which WDT 39713 3403 12 carries carry VBZ 39713 3403 13 over over RP 39713 3403 14 from from IN 39713 3403 15 our -PRON- PRP$ 39713 3403 16 world world NN 39713 3403 17 to to IN 39713 3403 18 theirs -PRON- PRP 39713 3403 19 . . . 39713 3404 1 The the DT 39713 3404 2 straights straight NNS 39713 3404 3 of of IN 39713 3404 4 these these DT 39713 3404 5 men man NNS 39713 3404 6 will will MD 39713 3404 7 not not RB 39713 3404 8 be be VB 39713 3404 9 our -PRON- PRP$ 39713 3404 10 straights straight NNS 39713 3404 11 , , , 39713 3404 12 but but CC 39713 3404 13 they -PRON- PRP 39713 3404 14 will will MD 39713 3404 15 have have VB 39713 3404 16 among among IN 39713 3404 17 themselves -PRON- PRP 39713 3404 18 the the DT 39713 3404 19 same same JJ 39713 3404 20 relations relation NNS 39713 3404 21 as as IN 39713 3404 22 our -PRON- PRP$ 39713 3404 23 straights straight NNS 39713 3404 24 to to IN 39713 3404 25 one one CD 39713 3404 26 another another DT 39713 3404 27 . . . 39713 3405 1 It -PRON- PRP 39713 3405 2 is be VBZ 39713 3405 3 in in IN 39713 3405 4 this this DT 39713 3405 5 sense sense NN 39713 3405 6 I -PRON- PRP 39713 3405 7 say say VBP 39713 3405 8 their -PRON- PRP$ 39713 3405 9 geometry geometry NN 39713 3405 10 will will MD 39713 3405 11 be be VB 39713 3405 12 ours ours PRP$ 39713 3405 13 . . . 39713 3406 1 If if IN 39713 3406 2 then then RB 39713 3406 3 we -PRON- PRP 39713 3406 4 wish wish VBP 39713 3406 5 after after RB 39713 3406 6 all all RB 39713 3406 7 to to TO 39713 3406 8 proclaim proclaim VB 39713 3406 9 that that IN 39713 3406 10 they -PRON- PRP 39713 3406 11 deceive deceive VBP 39713 3406 12 themselves -PRON- PRP 39713 3406 13 , , , 39713 3406 14 that that IN 39713 3406 15 their -PRON- PRP$ 39713 3406 16 straight straight NN 39713 3406 17 is be VBZ 39713 3406 18 not not RB 39713 3406 19 the the DT 39713 3406 20 true true JJ 39713 3406 21 straight straight NN 39713 3406 22 , , , 39713 3406 23 if if IN 39713 3406 24 we -PRON- PRP 39713 3406 25 still still RB 39713 3406 26 are be VBP 39713 3406 27 unwilling unwilling JJ 39713 3406 28 to to TO 39713 3406 29 admit admit VB 39713 3406 30 that that IN 39713 3406 31 such such PDT 39713 3406 32 an an DT 39713 3406 33 affirmation affirmation NN 39713 3406 34 has have VBZ 39713 3406 35 no no DT 39713 3406 36 meaning meaning NN 39713 3406 37 , , , 39713 3406 38 at at IN 39713 3406 39 least least JJS 39713 3406 40 we -PRON- PRP 39713 3406 41 must must MD 39713 3406 42 confess confess VB 39713 3406 43 that that IN 39713 3406 44 these these DT 39713 3406 45 people people NNS 39713 3406 46 have have VBP 39713 3406 47 no no DT 39713 3406 48 means mean NNS 39713 3406 49 whatever whatever WDT 39713 3406 50 of of IN 39713 3406 51 recognizing recognize VBG 39713 3406 52 their -PRON- PRP$ 39713 3406 53 error error NN 39713 3406 54 . . . 39713 3407 1 2 2 LS 39713 3407 2 . . . 39713 3408 1 _ _ NNP 39713 3408 2 Qualitative Qualitative NNP 39713 3408 3 Geometry Geometry NNP 39713 3408 4 _ _ NNP 39713 3408 5 All all PDT 39713 3408 6 that that WDT 39713 3408 7 is be VBZ 39713 3408 8 relatively relatively RB 39713 3408 9 easy easy JJ 39713 3408 10 to to TO 39713 3408 11 understand understand VB 39713 3408 12 , , , 39713 3408 13 and and CC 39713 3408 14 I -PRON- PRP 39713 3408 15 have have VBP 39713 3408 16 already already RB 39713 3408 17 so so RB 39713 3408 18 often often RB 39713 3408 19 repeated repeat VBN 39713 3408 20 it -PRON- PRP 39713 3408 21 that that WDT 39713 3408 22 I -PRON- PRP 39713 3408 23 think think VBP 39713 3408 24 it -PRON- PRP 39713 3408 25 needless needless JJ 39713 3408 26 to to TO 39713 3408 27 expatiate expatiate VB 39713 3408 28 further further RB 39713 3408 29 on on IN 39713 3408 30 the the DT 39713 3408 31 matter matter NN 39713 3408 32 . . . 39713 3409 1 Euclidean euclidean JJ 39713 3409 2 space space NN 39713 3409 3 is be VBZ 39713 3409 4 not not RB 39713 3409 5 a a DT 39713 3409 6 form form NN 39713 3409 7 imposed impose VBN 39713 3409 8 upon upon IN 39713 3409 9 our -PRON- PRP$ 39713 3409 10 sensibility sensibility NN 39713 3409 11 , , , 39713 3409 12 since since IN 39713 3409 13 we -PRON- PRP 39713 3409 14 can can MD 39713 3409 15 imagine imagine VB 39713 3409 16 non non JJ 39713 3409 17 - - JJ 39713 3409 18 Euclidean euclidean JJ 39713 3409 19 space space NN 39713 3409 20 ; ; : 39713 3409 21 but but CC 39713 3409 22 the the DT 39713 3409 23 two two CD 39713 3409 24 spaces space NNS 39713 3409 25 , , , 39713 3409 26 Euclidean euclidean JJ 39713 3409 27 and and CC 39713 3409 28 non non JJ 39713 3409 29 - - JJ 39713 3409 30 Euclidean euclidean JJ 39713 3409 31 , , , 39713 3409 32 have have VBP 39713 3409 33 a a DT 39713 3409 34 common common JJ 39713 3409 35 basis basis NN 39713 3409 36 , , , 39713 3409 37 that that IN 39713 3409 38 amorphous amorphous JJ 39713 3409 39 continuum continuum NN 39713 3409 40 of of IN 39713 3409 41 which which WDT 39713 3409 42 I -PRON- PRP 39713 3409 43 spoke speak VBD 39713 3409 44 in in IN 39713 3409 45 the the DT 39713 3409 46 beginning beginning NN 39713 3409 47 . . . 39713 3410 1 From from IN 39713 3410 2 this this DT 39713 3410 3 continuum continuum NN 39713 3410 4 we -PRON- PRP 39713 3410 5 can can MD 39713 3410 6 get get VB 39713 3410 7 either either DT 39713 3410 8 Euclidean euclidean JJ 39713 3410 9 space space NN 39713 3410 10 or or CC 39713 3410 11 Lobachevskian lobachevskian JJ 39713 3410 12 space space NN 39713 3410 13 , , , 39713 3410 14 just just RB 39713 3410 15 as as IN 39713 3410 16 we -PRON- PRP 39713 3410 17 can can MD 39713 3410 18 , , , 39713 3410 19 by by IN 39713 3410 20 tracing trace VBG 39713 3410 21 upon upon IN 39713 3410 22 it -PRON- PRP 39713 3410 23 a a DT 39713 3410 24 proper proper JJ 39713 3410 25 graduation graduation NN 39713 3410 26 , , , 39713 3410 27 transform transform VB 39713 3410 28 an an DT 39713 3410 29 ungraduated ungraduated JJ 39713 3410 30 thermometer thermometer NN 39713 3410 31 into into IN 39713 3410 32 a a DT 39713 3410 33 Fahrenheit Fahrenheit NNP 39713 3410 34 or or CC 39713 3410 35 a a DT 39713 3410 36 Réaumur Réaumur NNP 39713 3410 37 thermometer thermometer NN 39713 3410 38 . . . 39713 3411 1 And and CC 39713 3411 2 then then RB 39713 3411 3 comes come VBZ 39713 3411 4 a a DT 39713 3411 5 question question NN 39713 3411 6 : : : 39713 3411 7 Is be VBZ 39713 3411 8 not not RB 39713 3411 9 this this DT 39713 3411 10 amorphous amorphous JJ 39713 3411 11 continuum continuum NN 39713 3411 12 , , , 39713 3411 13 that that IN 39713 3411 14 our -PRON- PRP$ 39713 3411 15 analysis analysis NN 39713 3411 16 has have VBZ 39713 3411 17 allowed allow VBN 39713 3411 18 to to TO 39713 3411 19 survive survive VB 39713 3411 20 , , , 39713 3411 21 a a DT 39713 3411 22 form form NN 39713 3411 23 imposed impose VBN 39713 3411 24 upon upon IN 39713 3411 25 our -PRON- PRP$ 39713 3411 26 sensibility sensibility NN 39713 3411 27 ? ? . 39713 3412 1 If if IN 39713 3412 2 so so RB 39713 3412 3 , , , 39713 3412 4 we -PRON- PRP 39713 3412 5 should should MD 39713 3412 6 have have VB 39713 3412 7 enlarged enlarge VBN 39713 3412 8 the the DT 39713 3412 9 prison prison NN 39713 3412 10 in in IN 39713 3412 11 which which WDT 39713 3412 12 this this DT 39713 3412 13 sensibility sensibility NN 39713 3412 14 is be VBZ 39713 3412 15 confined confine VBN 39713 3412 16 , , , 39713 3412 17 but but CC 39713 3412 18 it -PRON- PRP 39713 3412 19 would would MD 39713 3412 20 always always RB 39713 3412 21 be be VB 39713 3412 22 a a DT 39713 3412 23 prison prison NN 39713 3412 24 . . . 39713 3413 1 This this DT 39713 3413 2 continuum continuum NN 39713 3413 3 has have VBZ 39713 3413 4 a a DT 39713 3413 5 certain certain JJ 39713 3413 6 number number NN 39713 3413 7 of of IN 39713 3413 8 properties property NNS 39713 3413 9 , , , 39713 3413 10 exempt exempt JJ 39713 3413 11 from from IN 39713 3413 12 all all DT 39713 3413 13 idea idea NN 39713 3413 14 of of IN 39713 3413 15 measurement measurement NN 39713 3413 16 . . . 39713 3414 1 The the DT 39713 3414 2 study study NN 39713 3414 3 of of IN 39713 3414 4 these these DT 39713 3414 5 properties property NNS 39713 3414 6 is be VBZ 39713 3414 7 the the DT 39713 3414 8 object object NN 39713 3414 9 of of IN 39713 3414 10 a a DT 39713 3414 11 science science NN 39713 3414 12 which which WDT 39713 3414 13 has have VBZ 39713 3414 14 been be VBN 39713 3414 15 cultivated cultivate VBN 39713 3414 16 by by IN 39713 3414 17 many many JJ 39713 3414 18 great great JJ 39713 3414 19 geometers geometer NNS 39713 3414 20 and and CC 39713 3414 21 in in IN 39713 3414 22 particular particular JJ 39713 3414 23 by by IN 39713 3414 24 Riemann Riemann NNP 39713 3414 25 and and CC 39713 3414 26 Betti Betti NNP 39713 3414 27 and and CC 39713 3414 28 which which WDT 39713 3414 29 has have VBZ 39713 3414 30 received receive VBN 39713 3414 31 the the DT 39713 3414 32 name name NN 39713 3414 33 of of IN 39713 3414 34 analysis analysis NN 39713 3414 35 situs situs NN 39713 3414 36 . . . 39713 3415 1 In in IN 39713 3415 2 this this DT 39713 3415 3 science science NN 39713 3415 4 abstraction abstraction NN 39713 3415 5 is be VBZ 39713 3415 6 made make VBN 39713 3415 7 of of IN 39713 3415 8 every every DT 39713 3415 9 quantitative quantitative JJ 39713 3415 10 idea idea NN 39713 3415 11 and and CC 39713 3415 12 , , , 39713 3415 13 for for IN 39713 3415 14 example example NN 39713 3415 15 , , , 39713 3415 16 if if IN 39713 3415 17 we -PRON- PRP 39713 3415 18 ascertain ascertain VBP 39713 3415 19 that that IN 39713 3415 20 on on IN 39713 3415 21 a a DT 39713 3415 22 line line NN 39713 3415 23 the the DT 39713 3415 24 point point NN 39713 3415 25 _ _ NNP 39713 3415 26 B B NNP 39713 3415 27 _ _ NNP 39713 3415 28 is be VBZ 39713 3415 29 between between IN 39713 3415 30 the the DT 39713 3415 31 points point NNS 39713 3415 32 _ _ NNP 39713 3415 33 A A NNP 39713 3415 34 _ _ NNP 39713 3415 35 and and CC 39713 3415 36 _ _ NNP 39713 3415 37 C C NNP 39713 3415 38 _ _ NNP 39713 3415 39 , , , 39713 3415 40 we -PRON- PRP 39713 3415 41 shall shall MD 39713 3415 42 be be VB 39713 3415 43 content content JJ 39713 3415 44 with with IN 39713 3415 45 this this DT 39713 3415 46 ascertainment ascertainment NN 39713 3415 47 and and CC 39713 3415 48 shall shall MD 39713 3415 49 not not RB 39713 3415 50 trouble trouble VB 39713 3415 51 to to TO 39713 3415 52 know know VB 39713 3415 53 whether whether IN 39713 3415 54 the the DT 39713 3415 55 line line NN 39713 3415 56 _ _ NNP 39713 3415 57 ABC ABC NNP 39713 3415 58 _ _ NNP 39713 3415 59 is be VBZ 39713 3415 60 straight straight JJ 39713 3415 61 or or CC 39713 3415 62 curved curved JJ 39713 3415 63 , , , 39713 3415 64 nor nor CC 39713 3415 65 whether whether IN 39713 3415 66 the the DT 39713 3415 67 length length NN 39713 3415 68 _ _ NNP 39713 3415 69 AB AB NNP 39713 3415 70 _ _ NNP 39713 3415 71 is be VBZ 39713 3415 72 equal equal JJ 39713 3415 73 to to IN 39713 3415 74 the the DT 39713 3415 75 length length NN 39713 3415 76 _ _ NNP 39713 3415 77 BC BC NNP 39713 3415 78 _ _ NNP 39713 3415 79 , , , 39713 3415 80 or or CC 39713 3415 81 whether whether IN 39713 3415 82 it -PRON- PRP 39713 3415 83 is be VBZ 39713 3415 84 twice twice RB 39713 3415 85 as as RB 39713 3415 86 great great JJ 39713 3415 87 . . . 39713 3416 1 The the DT 39713 3416 2 theorems theorem NNS 39713 3416 3 of of IN 39713 3416 4 analysis analysis NN 39713 3416 5 situs situs NN 39713 3416 6 have have VBP 39713 3416 7 , , , 39713 3416 8 therefore therefore RB 39713 3416 9 , , , 39713 3416 10 this this DT 39713 3416 11 peculiarity peculiarity NN 39713 3416 12 , , , 39713 3416 13 that that IN 39713 3416 14 they -PRON- PRP 39713 3416 15 would would MD 39713 3416 16 remain remain VB 39713 3416 17 true true JJ 39713 3416 18 if if IN 39713 3416 19 the the DT 39713 3416 20 figures figure NNS 39713 3416 21 were be VBD 39713 3416 22 copied copy VBN 39713 3416 23 by by IN 39713 3416 24 an an DT 39713 3416 25 inexpert inexpert JJ 39713 3416 26 draftsman draftsman NN 39713 3416 27 who who WP 39713 3416 28 should should MD 39713 3416 29 grossly grossly RB 39713 3416 30 change change VB 39713 3416 31 all all PDT 39713 3416 32 the the DT 39713 3416 33 proportions proportion NNS 39713 3416 34 and and CC 39713 3416 35 replace replace VB 39713 3416 36 the the DT 39713 3416 37 straights straight NNS 39713 3416 38 by by IN 39713 3416 39 lines line NNS 39713 3416 40 more more RBR 39713 3416 41 or or CC 39713 3416 42 less less RBR 39713 3416 43 sinuous sinuous JJ 39713 3416 44 . . . 39713 3417 1 In in IN 39713 3417 2 mathematical mathematical JJ 39713 3417 3 terms term NNS 39713 3417 4 , , , 39713 3417 5 they -PRON- PRP 39713 3417 6 are be VBP 39713 3417 7 not not RB 39713 3417 8 altered alter VBN 39713 3417 9 by by IN 39713 3417 10 any any DT 39713 3417 11 ' ' `` 39713 3417 12 point point NN 39713 3417 13 - - HYPH 39713 3417 14 transformation transformation NN 39713 3417 15 ' ' '' 39713 3417 16 whatsoever whatsoever RB 39713 3417 17 . . . 39713 3418 1 It -PRON- PRP 39713 3418 2 has have VBZ 39713 3418 3 often often RB 39713 3418 4 been be VBN 39713 3418 5 said say VBN 39713 3418 6 that that IN 39713 3418 7 metric metric JJ 39713 3418 8 geometry geometry NN 39713 3418 9 was be VBD 39713 3418 10 quantitative quantitative JJ 39713 3418 11 , , , 39713 3418 12 while while IN 39713 3418 13 projective projective JJ 39713 3418 14 geometry geometry NN 39713 3418 15 was be VBD 39713 3418 16 purely purely RB 39713 3418 17 qualitative qualitative JJ 39713 3418 18 . . . 39713 3419 1 That that DT 39713 3419 2 is be VBZ 39713 3419 3 not not RB 39713 3419 4 altogether altogether RB 39713 3419 5 true true JJ 39713 3419 6 . . . 39713 3420 1 The the DT 39713 3420 2 straight straight NN 39713 3420 3 is be VBZ 39713 3420 4 still still RB 39713 3420 5 distinguished distinguish VBN 39713 3420 6 from from IN 39713 3420 7 other other JJ 39713 3420 8 lines line NNS 39713 3420 9 by by IN 39713 3420 10 properties property NNS 39713 3420 11 which which WDT 39713 3420 12 remain remain VBP 39713 3420 13 quantitative quantitative JJ 39713 3420 14 in in IN 39713 3420 15 some some DT 39713 3420 16 respects respect NNS 39713 3420 17 . . . 39713 3421 1 The the DT 39713 3421 2 real real JJ 39713 3421 3 qualitative qualitative JJ 39713 3421 4 geometry geometry NN 39713 3421 5 is be VBZ 39713 3421 6 , , , 39713 3421 7 therefore therefore RB 39713 3421 8 , , , 39713 3421 9 analysis analysis NN 39713 3421 10 situs situs NN 39713 3421 11 . . . 39713 3422 1 The the DT 39713 3422 2 same same JJ 39713 3422 3 questions question NNS 39713 3422 4 which which WDT 39713 3422 5 came come VBD 39713 3422 6 up up RP 39713 3422 7 apropos apropos UH 39713 3422 8 of of IN 39713 3422 9 the the DT 39713 3422 10 truths truth NNS 39713 3422 11 of of IN 39713 3422 12 Euclidean euclidean JJ 39713 3422 13 geometry geometry NN 39713 3422 14 , , , 39713 3422 15 come come VB 39713 3422 16 up up RP 39713 3422 17 anew anew RB 39713 3422 18 apropos apropos NN 39713 3422 19 of of IN 39713 3422 20 the the DT 39713 3422 21 theorems theorem NNS 39713 3422 22 of of IN 39713 3422 23 analysis analysis NN 39713 3422 24 situs situs NN 39713 3422 25 . . . 39713 3423 1 Are be VBP 39713 3423 2 they -PRON- PRP 39713 3423 3 obtainable obtainable JJ 39713 3423 4 by by IN 39713 3423 5 deductive deductive JJ 39713 3423 6 reasoning reasoning NN 39713 3423 7 ? ? . 39713 3424 1 Are be VBP 39713 3424 2 they -PRON- PRP 39713 3424 3 disguised disguise VBN 39713 3424 4 conventions convention NNS 39713 3424 5 ? ? . 39713 3425 1 Are be VBP 39713 3425 2 they -PRON- PRP 39713 3425 3 experimental experimental JJ 39713 3425 4 verities verity NNS 39713 3425 5 ? ? . 39713 3426 1 Are be VBP 39713 3426 2 they -PRON- PRP 39713 3426 3 the the DT 39713 3426 4 characteristics characteristic NNS 39713 3426 5 of of IN 39713 3426 6 a a DT 39713 3426 7 form form NN 39713 3426 8 imposed impose VBN 39713 3426 9 either either CC 39713 3426 10 upon upon IN 39713 3426 11 our -PRON- PRP$ 39713 3426 12 sensibility sensibility NN 39713 3426 13 or or CC 39713 3426 14 upon upon IN 39713 3426 15 our -PRON- PRP$ 39713 3426 16 understanding understanding NN 39713 3426 17 ? ? . 39713 3427 1 I -PRON- PRP 39713 3427 2 wish wish VBP 39713 3427 3 simply simply RB 39713 3427 4 to to TO 39713 3427 5 observe observe VB 39713 3427 6 that that IN 39713 3427 7 the the DT 39713 3427 8 last last JJ 39713 3427 9 two two CD 39713 3427 10 solutions solution NNS 39713 3427 11 exclude exclude VBP 39713 3427 12 each each DT 39713 3427 13 other other JJ 39713 3427 14 . . . 39713 3428 1 We -PRON- PRP 39713 3428 2 can can MD 39713 3428 3 not not RB 39713 3428 4 admit admit VB 39713 3428 5 at at IN 39713 3428 6 the the DT 39713 3428 7 same same JJ 39713 3428 8 time time NN 39713 3428 9 that that WRB 39713 3428 10 it -PRON- PRP 39713 3428 11 is be VBZ 39713 3428 12 impossible impossible JJ 39713 3428 13 to to TO 39713 3428 14 imagine imagine VB 39713 3428 15 space space NN 39713 3428 16 of of IN 39713 3428 17 four four CD 39713 3428 18 dimensions dimension NNS 39713 3428 19 and and CC 39713 3428 20 that that IN 39713 3428 21 experience experience NN 39713 3428 22 proves prove VBZ 39713 3428 23 to to IN 39713 3428 24 us -PRON- PRP 39713 3428 25 that that DT 39713 3428 26 space space NN 39713 3428 27 has have VBZ 39713 3428 28 three three CD 39713 3428 29 dimensions dimension NNS 39713 3428 30 . . . 39713 3429 1 The the DT 39713 3429 2 experimenter experimenter NN 39713 3429 3 puts put VBZ 39713 3429 4 to to TO 39713 3429 5 nature nature VB 39713 3429 6 a a DT 39713 3429 7 question question NN 39713 3429 8 : : : 39713 3429 9 Is be VBZ 39713 3429 10 it -PRON- PRP 39713 3429 11 this this DT 39713 3429 12 or or CC 39713 3429 13 that that DT 39713 3429 14 ? ? . 39713 3430 1 and and CC 39713 3430 2 he -PRON- PRP 39713 3430 3 can can MD 39713 3430 4 not not RB 39713 3430 5 put put VB 39713 3430 6 it -PRON- PRP 39713 3430 7 without without IN 39713 3430 8 imagining imagine VBG 39713 3430 9 the the DT 39713 3430 10 two two CD 39713 3430 11 terms term NNS 39713 3430 12 of of IN 39713 3430 13 the the DT 39713 3430 14 alternative alternative NN 39713 3430 15 . . . 39713 3431 1 If if IN 39713 3431 2 it -PRON- PRP 39713 3431 3 were be VBD 39713 3431 4 impossible impossible JJ 39713 3431 5 to to TO 39713 3431 6 imagine imagine VB 39713 3431 7 one one CD 39713 3431 8 of of IN 39713 3431 9 these these DT 39713 3431 10 terms term NNS 39713 3431 11 , , , 39713 3431 12 it -PRON- PRP 39713 3431 13 would would MD 39713 3431 14 be be VB 39713 3431 15 futile futile JJ 39713 3431 16 and and CC 39713 3431 17 besides besides IN 39713 3431 18 impossible impossible JJ 39713 3431 19 to to TO 39713 3431 20 consult consult VB 39713 3431 21 experience experience NN 39713 3431 22 . . . 39713 3432 1 There there EX 39713 3432 2 is be VBZ 39713 3432 3 no no DT 39713 3432 4 need need NN 39713 3432 5 of of IN 39713 3432 6 observation observation NN 39713 3432 7 to to TO 39713 3432 8 know know VB 39713 3432 9 that that IN 39713 3432 10 the the DT 39713 3432 11 hand hand NN 39713 3432 12 of of IN 39713 3432 13 a a DT 39713 3432 14 watch watch NN 39713 3432 15 is be VBZ 39713 3432 16 not not RB 39713 3432 17 marking mark VBG 39713 3432 18 the the DT 39713 3432 19 hour hour NN 39713 3432 20 15 15 CD 39713 3432 21 on on IN 39713 3432 22 the the DT 39713 3432 23 dial dial NN 39713 3432 24 , , , 39713 3432 25 because because IN 39713 3432 26 we -PRON- PRP 39713 3432 27 know know VBP 39713 3432 28 beforehand beforehand RB 39713 3432 29 that that IN 39713 3432 30 there there EX 39713 3432 31 are be VBP 39713 3432 32 only only RB 39713 3432 33 12 12 CD 39713 3432 34 , , , 39713 3432 35 and and CC 39713 3432 36 we -PRON- PRP 39713 3432 37 could could MD 39713 3432 38 not not RB 39713 3432 39 look look VB 39713 3432 40 at at IN 39713 3432 41 the the DT 39713 3432 42 mark mark NN 39713 3432 43 15 15 CD 39713 3432 44 to to TO 39713 3432 45 see see VB 39713 3432 46 if if IN 39713 3432 47 the the DT 39713 3432 48 hand hand NN 39713 3432 49 is be VBZ 39713 3432 50 there there RB 39713 3432 51 , , , 39713 3432 52 because because IN 39713 3432 53 this this DT 39713 3432 54 mark mark NN 39713 3432 55 does do VBZ 39713 3432 56 not not RB 39713 3432 57 exist exist VB 39713 3432 58 . . . 39713 3433 1 Note note VB 39713 3433 2 likewise likewise RB 39713 3433 3 that that DT 39713 3433 4 in in IN 39713 3433 5 analysis analysis NN 39713 3433 6 situs situs NN 39713 3433 7 the the DT 39713 3433 8 empiricists empiricist NNS 39713 3433 9 are be VBP 39713 3433 10 disembarrassed disembarrass VBN 39713 3433 11 of of IN 39713 3433 12 one one CD 39713 3433 13 of of IN 39713 3433 14 the the DT 39713 3433 15 gravest grave JJS 39713 3433 16 objections objection NNS 39713 3433 17 that that WDT 39713 3433 18 can can MD 39713 3433 19 be be VB 39713 3433 20 leveled level VBN 39713 3433 21 against against IN 39713 3433 22 them -PRON- PRP 39713 3433 23 , , , 39713 3433 24 of of IN 39713 3433 25 that that DT 39713 3433 26 which which WDT 39713 3433 27 renders render VBZ 39713 3433 28 absolutely absolutely RB 39713 3433 29 vain vain VBP 39713 3433 30 in in IN 39713 3433 31 advance advance NN 39713 3433 32 all all PDT 39713 3433 33 their -PRON- PRP$ 39713 3433 34 efforts effort NNS 39713 3433 35 to to TO 39713 3433 36 apply apply VB 39713 3433 37 their -PRON- PRP$ 39713 3433 38 thesis thesis NN 39713 3433 39 to to IN 39713 3433 40 the the DT 39713 3433 41 verities verity NNS 39713 3433 42 of of IN 39713 3433 43 Euclidean euclidean JJ 39713 3433 44 geometry geometry NN 39713 3433 45 . . . 39713 3434 1 These these DT 39713 3434 2 verities verity NNS 39713 3434 3 are be VBP 39713 3434 4 rigorous rigorous JJ 39713 3434 5 and and CC 39713 3434 6 all all DT 39713 3434 7 experimentation experimentation NN 39713 3434 8 can can MD 39713 3434 9 only only RB 39713 3434 10 be be VB 39713 3434 11 approximate approximate JJ 39713 3434 12 . . . 39713 3435 1 In in IN 39713 3435 2 analysis analysis NN 39713 3435 3 situs situs NN 39713 3435 4 approximate approximate JJ 39713 3435 5 experiments experiment NNS 39713 3435 6 may may MD 39713 3435 7 suffice suffice VB 39713 3435 8 to to TO 39713 3435 9 give give VB 39713 3435 10 a a DT 39713 3435 11 rigorous rigorous JJ 39713 3435 12 theorem theorem NN 39713 3435 13 and and CC 39713 3435 14 , , , 39713 3435 15 for for IN 39713 3435 16 instance instance NN 39713 3435 17 , , , 39713 3435 18 if if IN 39713 3435 19 it -PRON- PRP 39713 3435 20 is be VBZ 39713 3435 21 seen see VBN 39713 3435 22 that that DT 39713 3435 23 space space NN 39713 3435 24 can can MD 39713 3435 25 not not RB 39713 3435 26 have have VB 39713 3435 27 either either CC 39713 3435 28 two two CD 39713 3435 29 or or CC 39713 3435 30 less less JJR 39713 3435 31 than than IN 39713 3435 32 two two CD 39713 3435 33 dimensions dimension NNS 39713 3435 34 , , , 39713 3435 35 nor nor CC 39713 3435 36 four four CD 39713 3435 37 or or CC 39713 3435 38 more more JJR 39713 3435 39 than than IN 39713 3435 40 four four CD 39713 3435 41 , , , 39713 3435 42 we -PRON- PRP 39713 3435 43 are be VBP 39713 3435 44 certain certain JJ 39713 3435 45 that that IN 39713 3435 46 it -PRON- PRP 39713 3435 47 has have VBZ 39713 3435 48 exactly exactly RB 39713 3435 49 three three CD 39713 3435 50 , , , 39713 3435 51 since since IN 39713 3435 52 it -PRON- PRP 39713 3435 53 could could MD 39713 3435 54 not not RB 39713 3435 55 have have VB 39713 3435 56 two two CD 39713 3435 57 and and CC 39713 3435 58 a a DT 39713 3435 59 half half NN 39713 3435 60 or or CC 39713 3435 61 three three CD 39713 3435 62 and and CC 39713 3435 63 a a DT 39713 3435 64 half half NN 39713 3435 65 . . . 39713 3436 1 Of of IN 39713 3436 2 all all PDT 39713 3436 3 the the DT 39713 3436 4 theorems theorem NNS 39713 3436 5 of of IN 39713 3436 6 analysis analysis NN 39713 3436 7 situs situs NN 39713 3436 8 , , , 39713 3436 9 the the DT 39713 3436 10 most most RBS 39713 3436 11 important important JJ 39713 3436 12 is be VBZ 39713 3436 13 that that DT 39713 3436 14 which which WDT 39713 3436 15 is be VBZ 39713 3436 16 expressed express VBN 39713 3436 17 in in IN 39713 3436 18 saying say VBG 39713 3436 19 that that IN 39713 3436 20 space space NN 39713 3436 21 has have VBZ 39713 3436 22 three three CD 39713 3436 23 dimensions dimension NNS 39713 3436 24 . . . 39713 3437 1 This this DT 39713 3437 2 it -PRON- PRP 39713 3437 3 is be VBZ 39713 3437 4 that that IN 39713 3437 5 we -PRON- PRP 39713 3437 6 are be VBP 39713 3437 7 about about JJ 39713 3437 8 to to TO 39713 3437 9 consider consider VB 39713 3437 10 , , , 39713 3437 11 and and CC 39713 3437 12 we -PRON- PRP 39713 3437 13 shall shall MD 39713 3437 14 put put VB 39713 3437 15 the the DT 39713 3437 16 question question NN 39713 3437 17 in in IN 39713 3437 18 these these DT 39713 3437 19 terms term NNS 39713 3437 20 : : : 39713 3437 21 When when WRB 39713 3437 22 we -PRON- PRP 39713 3437 23 say say VBP 39713 3437 24 that that DT 39713 3437 25 space space NN 39713 3437 26 has have VBZ 39713 3437 27 three three CD 39713 3437 28 dimensions dimension NNS 39713 3437 29 , , , 39713 3437 30 what what WP 39713 3437 31 do do VBP 39713 3437 32 we -PRON- PRP 39713 3437 33 mean mean VB 39713 3437 34 ? ? . 39713 3438 1 3 3 LS 39713 3438 2 . . . 39713 3439 1 _ _ NNP 39713 3439 2 The the DT 39713 3439 3 Physical Physical NNP 39713 3439 4 Continuum Continuum NNP 39713 3439 5 of of IN 39713 3439 6 Several Several NNP 39713 3439 7 Dimensions Dimensions NNPS 39713 3439 8 _ _ NNP 39713 3439 9 I -PRON- PRP 39713 3439 10 have have VBP 39713 3439 11 explained explain VBN 39713 3439 12 in in IN 39713 3439 13 ' ' `` 39713 3439 14 Science Science NNP 39713 3439 15 and and CC 39713 3439 16 Hypothesis Hypothesis NNP 39713 3439 17 ' ' POS 39713 3439 18 whence whence NN 39713 3439 19 we -PRON- PRP 39713 3439 20 derive derive VBP 39713 3439 21 the the DT 39713 3439 22 notion notion NN 39713 3439 23 of of IN 39713 3439 24 physical physical JJ 39713 3439 25 continuity continuity NN 39713 3439 26 and and CC 39713 3439 27 how how WRB 39713 3439 28 that that DT 39713 3439 29 of of IN 39713 3439 30 mathematical mathematical JJ 39713 3439 31 continuity continuity NN 39713 3439 32 has have VBZ 39713 3439 33 arisen arise VBN 39713 3439 34 from from IN 39713 3439 35 it -PRON- PRP 39713 3439 36 . . . 39713 3440 1 It -PRON- PRP 39713 3440 2 happens happen VBZ 39713 3440 3 that that IN 39713 3440 4 we -PRON- PRP 39713 3440 5 are be VBP 39713 3440 6 capable capable JJ 39713 3440 7 of of IN 39713 3440 8 distinguishing distinguish VBG 39713 3440 9 two two CD 39713 3440 10 impressions impression NNS 39713 3440 11 one one CD 39713 3440 12 from from IN 39713 3440 13 the the DT 39713 3440 14 other other JJ 39713 3440 15 , , , 39713 3440 16 while while IN 39713 3440 17 each each DT 39713 3440 18 is be VBZ 39713 3440 19 indistinguishable indistinguishable JJ 39713 3440 20 from from IN 39713 3440 21 a a DT 39713 3440 22 third third NN 39713 3440 23 . . . 39713 3441 1 Thus thus RB 39713 3441 2 we -PRON- PRP 39713 3441 3 can can MD 39713 3441 4 readily readily RB 39713 3441 5 distinguish distinguish VB 39713 3441 6 a a DT 39713 3441 7 weight weight NN 39713 3441 8 of of IN 39713 3441 9 12 12 CD 39713 3441 10 grams gram NNS 39713 3441 11 from from IN 39713 3441 12 a a DT 39713 3441 13 weight weight NN 39713 3441 14 of of IN 39713 3441 15 10 10 CD 39713 3441 16 grams gram NNS 39713 3441 17 , , , 39713 3441 18 while while IN 39713 3441 19 a a DT 39713 3441 20 weight weight NN 39713 3441 21 of of IN 39713 3441 22 11 11 CD 39713 3441 23 grams gram NNS 39713 3441 24 could could MD 39713 3441 25 be be VB 39713 3441 26 distinguished distinguish VBN 39713 3441 27 from from IN 39713 3441 28 neither neither CC 39713 3441 29 the the DT 39713 3441 30 one one CD 39713 3441 31 nor nor CC 39713 3441 32 the the DT 39713 3441 33 other other JJ 39713 3441 34 . . . 39713 3442 1 Such such PDT 39713 3442 2 a a DT 39713 3442 3 statement statement NN 39713 3442 4 , , , 39713 3442 5 translated translate VBN 39713 3442 6 into into IN 39713 3442 7 symbols symbol NNS 39713 3442 8 , , , 39713 3442 9 may may MD 39713 3442 10 be be VB 39713 3442 11 written write VBN 39713 3442 12 : : : 39713 3442 13 _ _ NNP 39713 3442 14 A A NNP 39713 3442 15 _ _ NNP 39713 3442 16 = = SYM 39713 3442 17 _ _ NNP 39713 3442 18 B B NNP 39713 3442 19 _ _ NNP 39713 3442 20 , , , 39713 3442 21 _ _ NNP 39713 3442 22 B B NNP 39713 3442 23 _ _ NNP 39713 3442 24 = = SYM 39713 3442 25 _ _ NNP 39713 3442 26 C C NNP 39713 3442 27 _ _ NNP 39713 3442 28 , , , 39713 3442 29 _ _ NNP 39713 3442 30 A A NNP 39713 3442 31 _ _ NNP 39713 3442 32 < < XX 39713 3442 33 _ _ NNP 39713 3442 34 C C NNP 39713 3442 35 _ _ NNP 39713 3442 36 . . . 39713 3443 1 This this DT 39713 3443 2 would would MD 39713 3443 3 be be VB 39713 3443 4 the the DT 39713 3443 5 formula formula NN 39713 3443 6 of of IN 39713 3443 7 the the DT 39713 3443 8 physical physical JJ 39713 3443 9 continuum continuum NN 39713 3443 10 , , , 39713 3443 11 as as IN 39713 3443 12 crude crude JJ 39713 3443 13 experience experience NN 39713 3443 14 gives give VBZ 39713 3443 15 it -PRON- PRP 39713 3443 16 to to IN 39713 3443 17 us -PRON- PRP 39713 3443 18 , , , 39713 3443 19 whence whence NN 39713 3443 20 arises arise VBZ 39713 3443 21 an an DT 39713 3443 22 intolerable intolerable JJ 39713 3443 23 contradiction contradiction NN 39713 3443 24 that that WDT 39713 3443 25 has have VBZ 39713 3443 26 been be VBN 39713 3443 27 obviated obviate VBN 39713 3443 28 by by IN 39713 3443 29 the the DT 39713 3443 30 introduction introduction NN 39713 3443 31 of of IN 39713 3443 32 the the DT 39713 3443 33 mathematical mathematical JJ 39713 3443 34 continuum continuum NN 39713 3443 35 . . . 39713 3444 1 This this DT 39713 3444 2 is be VBZ 39713 3444 3 a a DT 39713 3444 4 scale scale NN 39713 3444 5 of of IN 39713 3444 6 which which WDT 39713 3444 7 the the DT 39713 3444 8 steps step NNS 39713 3444 9 ( ( -LRB- 39713 3444 10 commensurable commensurable JJ 39713 3444 11 or or CC 39713 3444 12 incommensurable incommensurable JJ 39713 3444 13 numbers number NNS 39713 3444 14 ) ) -RRB- 39713 3444 15 are be VBP 39713 3444 16 infinite infinite JJ 39713 3444 17 in in IN 39713 3444 18 number number NN 39713 3444 19 but but CC 39713 3444 20 are be VBP 39713 3444 21 exterior exterior JJ 39713 3444 22 to to IN 39713 3444 23 one one CD 39713 3444 24 another another DT 39713 3444 25 , , , 39713 3444 26 instead instead RB 39713 3444 27 of of IN 39713 3444 28 encroaching encroach VBG 39713 3444 29 on on IN 39713 3444 30 one one CD 39713 3444 31 another another DT 39713 3444 32 as as IN 39713 3444 33 do do VBP 39713 3444 34 the the DT 39713 3444 35 elements element NNS 39713 3444 36 of of IN 39713 3444 37 the the DT 39713 3444 38 physical physical JJ 39713 3444 39 continuum continuum NN 39713 3444 40 , , , 39713 3444 41 in in IN 39713 3444 42 conformity conformity NN 39713 3444 43 with with IN 39713 3444 44 the the DT 39713 3444 45 preceding precede VBG 39713 3444 46 formula formula NN 39713 3444 47 . . . 39713 3445 1 The the DT 39713 3445 2 physical physical JJ 39713 3445 3 continuum continuum NN 39713 3445 4 is be VBZ 39713 3445 5 , , , 39713 3445 6 so so RB 39713 3445 7 to to TO 39713 3445 8 speak speak VB 39713 3445 9 , , , 39713 3445 10 a a DT 39713 3445 11 nebula nebula NN 39713 3445 12 not not RB 39713 3445 13 resolved resolve VBN 39713 3445 14 ; ; : 39713 3445 15 the the DT 39713 3445 16 most most RBS 39713 3445 17 perfect perfect JJ 39713 3445 18 instruments instrument NNS 39713 3445 19 could could MD 39713 3445 20 not not RB 39713 3445 21 attain attain VB 39713 3445 22 to to IN 39713 3445 23 its -PRON- PRP$ 39713 3445 24 resolution resolution NN 39713 3445 25 . . . 39713 3446 1 Doubtless doubtless RB 39713 3446 2 if if IN 39713 3446 3 we -PRON- PRP 39713 3446 4 measured measure VBD 39713 3446 5 the the DT 39713 3446 6 weights weight NNS 39713 3446 7 with with IN 39713 3446 8 a a DT 39713 3446 9 good good JJ 39713 3446 10 balance balance NN 39713 3446 11 instead instead RB 39713 3446 12 of of IN 39713 3446 13 judging judge VBG 39713 3446 14 them -PRON- PRP 39713 3446 15 by by IN 39713 3446 16 the the DT 39713 3446 17 hand hand NN 39713 3446 18 , , , 39713 3446 19 we -PRON- PRP 39713 3446 20 could could MD 39713 3446 21 distinguish distinguish VB 39713 3446 22 the the DT 39713 3446 23 weight weight NN 39713 3446 24 of of IN 39713 3446 25 11 11 CD 39713 3446 26 grams gram NNS 39713 3446 27 from from IN 39713 3446 28 those those DT 39713 3446 29 of of IN 39713 3446 30 10 10 CD 39713 3446 31 and and CC 39713 3446 32 12 12 CD 39713 3446 33 grams gram NNS 39713 3446 34 , , , 39713 3446 35 and and CC 39713 3446 36 our -PRON- PRP$ 39713 3446 37 formula formula NN 39713 3446 38 would would MD 39713 3446 39 become become VB 39713 3446 40 : : : 39713 3446 41 _ _ NNP 39713 3446 42 A A NNP 39713 3446 43 _ _ NNP 39713 3446 44 < < XX 39713 3446 45 _ _ NNP 39713 3446 46 B B NNP 39713 3446 47 _ _ NNP 39713 3446 48 , , , 39713 3446 49 _ _ NNP 39713 3446 50 B B NNP 39713 3446 51 _ _ NNP 39713 3446 52 < < XX 39713 3446 53 _ _ NNP 39713 3446 54 C C NNP 39713 3446 55 _ _ NNP 39713 3446 56 , , , 39713 3446 57 _ _ NNP 39713 3446 58 A A NNP 39713 3446 59 _ _ NNP 39713 3446 60 < < XX 39713 3446 61 _ _ NNP 39713 3446 62 C C NNP 39713 3446 63 _ _ NNP 39713 3446 64 . . . 39713 3447 1 But but CC 39713 3447 2 we -PRON- PRP 39713 3447 3 should should MD 39713 3447 4 always always RB 39713 3447 5 find find VB 39713 3447 6 between between IN 39713 3447 7 _ _ NNP 39713 3447 8 A A NNP 39713 3447 9 _ _ NNP 39713 3447 10 and and CC 39713 3447 11 _ _ NNP 39713 3447 12 B B NNP 39713 3447 13 _ _ NNP 39713 3447 14 and and CC 39713 3447 15 between between IN 39713 3447 16 _ _ NNP 39713 3447 17 B B NNP 39713 3447 18 _ _ NNP 39713 3447 19 and and CC 39713 3447 20 _ _ NNP 39713 3447 21 C C NNP 39713 3447 22 _ _ NNP 39713 3447 23 new new JJ 39713 3447 24 elements element NNS 39713 3447 25 _ _ NNP 39713 3447 26 D D NNP 39713 3447 27 _ _ NNP 39713 3447 28 and and CC 39713 3447 29 _ _ NNP 39713 3447 30 E E NNP 39713 3447 31 _ _ NNP 39713 3447 32 , , , 39713 3447 33 such such JJ 39713 3447 34 that that IN 39713 3447 35 _ _ NNP 39713 3447 36 A A NNP 39713 3447 37 _ _ NNP 39713 3447 38 = = SYM 39713 3447 39 _ _ NNP 39713 3447 40 D D NNP 39713 3447 41 _ _ NNP 39713 3447 42 , , , 39713 3447 43 _ _ NNP 39713 3447 44 D D NNP 39713 3447 45 _ _ NNP 39713 3447 46 = = SYM 39713 3447 47 _ _ NNP 39713 3447 48 B B NNP 39713 3447 49 _ _ NNP 39713 3447 50 , , , 39713 3447 51 _ _ NNP 39713 3447 52 A A NNP 39713 3447 53 _ _ NNP 39713 3447 54 < < XX 39713 3447 55 _ _ NNP 39713 3447 56 B B NNP 39713 3447 57 _ _ NNP 39713 3447 58 ; ; : 39713 3447 59 _ _ NNP 39713 3447 60 B B NNP 39713 3447 61 _ _ NNP 39713 3447 62 = = SYM 39713 3447 63 _ _ NNP 39713 3447 64 E E NNP 39713 3447 65 _ _ NNP 39713 3447 66 , , , 39713 3447 67 _ _ NNP 39713 3447 68 E E NNP 39713 3447 69 _ _ NNP 39713 3447 70 = = SYM 39713 3447 71 _ _ NNP 39713 3447 72 C C NNP 39713 3447 73 _ _ NNP 39713 3447 74 , , , 39713 3447 75 _ _ NNP 39713 3447 76 B B NNP 39713 3447 77 _ _ NNP 39713 3447 78 < < XX 39713 3447 79 _ _ NNP 39713 3447 80 C C NNP 39713 3447 81 _ _ NNP 39713 3447 82 , , , 39713 3447 83 and and CC 39713 3447 84 the the DT 39713 3447 85 difficulty difficulty NN 39713 3447 86 would would MD 39713 3447 87 only only RB 39713 3447 88 have have VB 39713 3447 89 receded recede VBN 39713 3447 90 and and CC 39713 3447 91 the the DT 39713 3447 92 nebula nebula NN 39713 3447 93 would would MD 39713 3447 94 always always RB 39713 3447 95 remain remain VB 39713 3447 96 unresolved unresolved JJ 39713 3447 97 ; ; : 39713 3447 98 the the DT 39713 3447 99 mind mind NN 39713 3447 100 alone alone RB 39713 3447 101 can can MD 39713 3447 102 resolve resolve VB 39713 3447 103 it -PRON- PRP 39713 3447 104 and and CC 39713 3447 105 the the DT 39713 3447 106 mathematical mathematical JJ 39713 3447 107 continuum continuum NN 39713 3447 108 it -PRON- PRP 39713 3447 109 is be VBZ 39713 3447 110 which which WDT 39713 3447 111 is be VBZ 39713 3447 112 the the DT 39713 3447 113 nebula nebula NN 39713 3447 114 resolved resolve VBN 39713 3447 115 into into IN 39713 3447 116 stars star NNS 39713 3447 117 . . . 39713 3448 1 Yet yet RB 39713 3448 2 up up IN 39713 3448 3 to to IN 39713 3448 4 this this DT 39713 3448 5 point point NN 39713 3448 6 we -PRON- PRP 39713 3448 7 have have VBP 39713 3448 8 not not RB 39713 3448 9 introduced introduce VBN 39713 3448 10 the the DT 39713 3448 11 notion notion NN 39713 3448 12 of of IN 39713 3448 13 the the DT 39713 3448 14 number number NN 39713 3448 15 of of IN 39713 3448 16 dimensions dimension NNS 39713 3448 17 . . . 39713 3449 1 What what WP 39713 3449 2 is be VBZ 39713 3449 3 meant mean VBN 39713 3449 4 when when WRB 39713 3449 5 we -PRON- PRP 39713 3449 6 say say VBP 39713 3449 7 that that IN 39713 3449 8 a a DT 39713 3449 9 mathematical mathematical JJ 39713 3449 10 continuum continuum NN 39713 3449 11 or or CC 39713 3449 12 that that IN 39713 3449 13 a a DT 39713 3449 14 physical physical JJ 39713 3449 15 continuum continuum NN 39713 3449 16 has have VBZ 39713 3449 17 two two CD 39713 3449 18 or or CC 39713 3449 19 three three CD 39713 3449 20 dimensions dimension NNS 39713 3449 21 ? ? . 39713 3450 1 First first RB 39713 3450 2 we -PRON- PRP 39713 3450 3 must must MD 39713 3450 4 introduce introduce VB 39713 3450 5 the the DT 39713 3450 6 notion notion NN 39713 3450 7 of of IN 39713 3450 8 cut cut NN 39713 3450 9 , , , 39713 3450 10 studying study VBG 39713 3450 11 first first JJ 39713 3450 12 physical physical JJ 39713 3450 13 continua continua NN 39713 3450 14 . . . 39713 3451 1 We -PRON- PRP 39713 3451 2 have have VBP 39713 3451 3 seen see VBN 39713 3451 4 what what WP 39713 3451 5 characterizes characterize VBZ 39713 3451 6 the the DT 39713 3451 7 physical physical JJ 39713 3451 8 continuum continuum NN 39713 3451 9 . . . 39713 3452 1 Each each DT 39713 3452 2 of of IN 39713 3452 3 the the DT 39713 3452 4 elements element NNS 39713 3452 5 of of IN 39713 3452 6 this this DT 39713 3452 7 continuum continuum NN 39713 3452 8 consists consist VBZ 39713 3452 9 of of IN 39713 3452 10 a a DT 39713 3452 11 manifold manifold NN 39713 3452 12 of of IN 39713 3452 13 impressions impression NNS 39713 3452 14 ; ; : 39713 3452 15 and and CC 39713 3452 16 it -PRON- PRP 39713 3452 17 may may MD 39713 3452 18 happen happen VB 39713 3452 19 either either CC 39713 3452 20 that that IN 39713 3452 21 an an DT 39713 3452 22 element element NN 39713 3452 23 can can MD 39713 3452 24 not not RB 39713 3452 25 be be VB 39713 3452 26 discriminated discriminate VBN 39713 3452 27 from from IN 39713 3452 28 another another DT 39713 3452 29 element element NN 39713 3452 30 of of IN 39713 3452 31 the the DT 39713 3452 32 same same JJ 39713 3452 33 continuum continuum NN 39713 3452 34 , , , 39713 3452 35 if if IN 39713 3452 36 this this DT 39713 3452 37 new new JJ 39713 3452 38 element element NN 39713 3452 39 corresponds correspond VBZ 39713 3452 40 to to IN 39713 3452 41 a a DT 39713 3452 42 manifold manifold NN 39713 3452 43 of of IN 39713 3452 44 impressions impression NNS 39713 3452 45 not not RB 39713 3452 46 sufficiently sufficiently RB 39713 3452 47 different different JJ 39713 3452 48 , , , 39713 3452 49 or or CC 39713 3452 50 , , , 39713 3452 51 on on IN 39713 3452 52 the the DT 39713 3452 53 contrary contrary NN 39713 3452 54 , , , 39713 3452 55 that that IN 39713 3452 56 the the DT 39713 3452 57 discrimination discrimination NN 39713 3452 58 is be VBZ 39713 3452 59 possible possible JJ 39713 3452 60 ; ; : 39713 3452 61 finally finally RB 39713 3452 62 it -PRON- PRP 39713 3452 63 may may MD 39713 3452 64 happen happen VB 39713 3452 65 that that IN 39713 3452 66 two two CD 39713 3452 67 elements element NNS 39713 3452 68 indistinguishable indistinguishable JJ 39713 3452 69 from from IN 39713 3452 70 a a DT 39713 3452 71 third third JJ 39713 3452 72 may may NN 39713 3452 73 , , , 39713 3452 74 nevertheless nevertheless RB 39713 3452 75 , , , 39713 3452 76 be be VB 39713 3452 77 distinguished distinguish VBN 39713 3452 78 one one CD 39713 3452 79 from from IN 39713 3452 80 the the DT 39713 3452 81 other other JJ 39713 3452 82 . . . 39713 3453 1 That that DT 39713 3453 2 postulated postulate VBN 39713 3453 3 , , , 39713 3453 4 if if IN 39713 3453 5 _ _ NNP 39713 3453 6 A A NNP 39713 3453 7 _ _ NNP 39713 3453 8 and and CC 39713 3453 9 _ _ NNP 39713 3453 10 B B NNP 39713 3453 11 _ _ NNP 39713 3453 12 are be VBP 39713 3453 13 two two CD 39713 3453 14 distinguishable distinguishable JJ 39713 3453 15 elements element NNS 39713 3453 16 of of IN 39713 3453 17 a a DT 39713 3453 18 continuum continuum JJ 39713 3453 19 _ _ NNP 39713 3453 20 C C NNP 39713 3453 21 _ _ NNP 39713 3453 22 , , , 39713 3453 23 a a DT 39713 3453 24 series series NN 39713 3453 25 of of IN 39713 3453 26 elements element NNS 39713 3453 27 may may MD 39713 3453 28 be be VB 39713 3453 29 found find VBN 39713 3453 30 , , , 39713 3453 31 E_{1 E_{1 NNP 39713 3453 32 } } -RRB- 39713 3453 33 , , , 39713 3453 34 E_{2 E_{2 NNP 39713 3453 35 } } -RRB- 39713 3453 36 , , , 39713 3453 37 ... ... NFP 39713 3453 38 , , , 39713 3453 39 E_{_n E_{_n NNP 39713 3453 40 _ _ NNP 39713 3453 41 } } -RRB- 39713 3453 42 , , , 39713 3453 43 all all DT 39713 3453 44 belonging belong VBG 39713 3453 45 to to IN 39713 3453 46 this this DT 39713 3453 47 same same JJ 39713 3453 48 continuum continuum NN 39713 3453 49 _ _ NNP 39713 3453 50 C C NNP 39713 3453 51 _ _ NNP 39713 3453 52 and and CC 39713 3453 53 such such JJ 39713 3453 54 that that IN 39713 3453 55 each each DT 39713 3453 56 of of IN 39713 3453 57 them -PRON- PRP 39713 3453 58 is be VBZ 39713 3453 59 indistinguishable indistinguishable JJ 39713 3453 60 from from IN 39713 3453 61 the the DT 39713 3453 62 preceding preceding NN 39713 3453 63 , , , 39713 3453 64 that that IN 39713 3453 65 E_{1 E_{1 NNP 39713 3453 66 } } -RRB- 39713 3453 67 is be VBZ 39713 3453 68 indistinguishable indistinguishable JJ 39713 3453 69 from from IN 39713 3453 70 _ _ NNP 39713 3453 71 A A NNP 39713 3453 72 _ _ NNP 39713 3453 73 , , , 39713 3453 74 and and CC 39713 3453 75 E_{_n E_{_n NNP 39713 3453 76 _ _ NNP 39713 3453 77 } } -RRB- 39713 3453 78 indistinguishable indistinguishable JJ 39713 3453 79 from from IN 39713 3453 80 _ _ NNP 39713 3453 81 B B NNP 39713 3453 82 _ _ NNP 39713 3453 83 . . . 39713 3454 1 Therefore therefore RB 39713 3454 2 we -PRON- PRP 39713 3454 3 can can MD 39713 3454 4 go go VB 39713 3454 5 from from IN 39713 3454 6 _ _ NNP 39713 3454 7 A A NNP 39713 3454 8 _ _ NNP 39713 3454 9 to to IN 39713 3454 10 _ _ NNP 39713 3454 11 B B NNP 39713 3454 12 _ _ NNP 39713 3454 13 by by IN 39713 3454 14 a a DT 39713 3454 15 continuous continuous JJ 39713 3454 16 route route NN 39713 3454 17 and and CC 39713 3454 18 without without IN 39713 3454 19 quitting quit VBG 39713 3454 20 _ _ NNP 39713 3454 21 C C NNP 39713 3454 22 _ _ NNP 39713 3454 23 . . . 39713 3455 1 If if IN 39713 3455 2 this this DT 39713 3455 3 condition condition NN 39713 3455 4 is be VBZ 39713 3455 5 fulfilled fulfil VBN 39713 3455 6 for for IN 39713 3455 7 any any DT 39713 3455 8 two two CD 39713 3455 9 elements element NNS 39713 3455 10 _ _ NNP 39713 3455 11 A A NNP 39713 3455 12 _ _ NNP 39713 3455 13 and and CC 39713 3455 14 _ _ NNP 39713 3455 15 B B NNP 39713 3455 16 _ _ NNP 39713 3455 17 of of IN 39713 3455 18 the the DT 39713 3455 19 continuum continuum NN 39713 3455 20 _ _ NNP 39713 3455 21 C C NNP 39713 3455 22 _ _ NNP 39713 3455 23 , , , 39713 3455 24 we -PRON- PRP 39713 3455 25 may may MD 39713 3455 26 say say VB 39713 3455 27 that that IN 39713 3455 28 this this DT 39713 3455 29 continuum continuum NN 39713 3455 30 _ _ NNP 39713 3455 31 C C NNP 39713 3455 32 _ _ NNP 39713 3455 33 is be VBZ 39713 3455 34 all all DT 39713 3455 35 in in IN 39713 3455 36 one one CD 39713 3455 37 piece piece NN 39713 3455 38 . . . 39713 3456 1 Now now RB 39713 3456 2 let let VB 39713 3456 3 us -PRON- PRP 39713 3456 4 distinguish distinguish VB 39713 3456 5 certain certain JJ 39713 3456 6 of of IN 39713 3456 7 the the DT 39713 3456 8 elements element NNS 39713 3456 9 of of IN 39713 3456 10 _ _ NNP 39713 3456 11 C C NNP 39713 3456 12 _ _ NNP 39713 3456 13 which which WDT 39713 3456 14 may may MD 39713 3456 15 either either CC 39713 3456 16 be be VB 39713 3456 17 all all RB 39713 3456 18 distinguishable distinguishable JJ 39713 3456 19 from from IN 39713 3456 20 one one CD 39713 3456 21 another another DT 39713 3456 22 , , , 39713 3456 23 or or CC 39713 3456 24 themselves -PRON- PRP 39713 3456 25 form form VBP 39713 3456 26 one one CD 39713 3456 27 or or CC 39713 3456 28 several several JJ 39713 3456 29 continua continua NN 39713 3456 30 . . . 39713 3457 1 The the DT 39713 3457 2 assemblage assemblage NN 39713 3457 3 of of IN 39713 3457 4 the the DT 39713 3457 5 elements element NNS 39713 3457 6 thus thus RB 39713 3457 7 chosen choose VBN 39713 3457 8 arbitrarily arbitrarily RB 39713 3457 9 among among IN 39713 3457 10 all all PDT 39713 3457 11 those those DT 39713 3457 12 of of IN 39713 3457 13 _ _ NNP 39713 3457 14 C C NNP 39713 3457 15 _ _ NNP 39713 3457 16 will will MD 39713 3457 17 form form VB 39713 3457 18 what what WP 39713 3457 19 I -PRON- PRP 39713 3457 20 shall shall MD 39713 3457 21 call call VB 39713 3457 22 the the DT 39713 3457 23 _ _ NNP 39713 3457 24 cut cut VBD 39713 3457 25 _ _ NNP 39713 3457 26 or or CC 39713 3457 27 the the DT 39713 3457 28 _ _ NNP 39713 3457 29 cuts cut VBZ 39713 3457 30 _ _ NNP 39713 3457 31 . . . 39713 3458 1 Take take VB 39713 3458 2 on on RP 39713 3458 3 _ _ NNP 39713 3458 4 C C NNP 39713 3458 5 _ _ NNP 39713 3458 6 any any DT 39713 3458 7 two two CD 39713 3458 8 elements element NNS 39713 3458 9 _ _ NNP 39713 3458 10 A A NNP 39713 3458 11 _ _ NNP 39713 3458 12 and and CC 39713 3458 13 _ _ NNP 39713 3458 14 B B NNP 39713 3458 15 _ _ NNP 39713 3458 16 . . . 39713 3459 1 Either either CC 39713 3459 2 we -PRON- PRP 39713 3459 3 can can MD 39713 3459 4 also also RB 39713 3459 5 find find VB 39713 3459 6 a a DT 39713 3459 7 series series NN 39713 3459 8 of of IN 39713 3459 9 elements element NNS 39713 3459 10 E_{1 E_{1 NNP 39713 3459 11 } } -RRB- 39713 3459 12 , , , 39713 3459 13 E_{2 E_{2 NNP 39713 3459 14 } } -RRB- 39713 3459 15 , , , 39713 3459 16 ... ... NFP 39713 3459 17 , , , 39713 3459 18 E_{_n E_{_n NNP 39713 3459 19 _ _ NNP 39713 3459 20 } } -RRB- 39713 3459 21 , , , 39713 3459 22 such such JJ 39713 3459 23 : : : 39713 3459 24 ( ( -LRB- 39713 3459 25 1 1 LS 39713 3459 26 ) ) -RRB- 39713 3459 27 that that IN 39713 3459 28 they -PRON- PRP 39713 3459 29 all all DT 39713 3459 30 belong belong VBP 39713 3459 31 to to IN 39713 3459 32 _ _ NNP 39713 3459 33 C C NNP 39713 3459 34 _ _ NNP 39713 3459 35 ; ; : 39713 3459 36 ( ( -LRB- 39713 3459 37 2 2 LS 39713 3459 38 ) ) -RRB- 39713 3459 39 that that IN 39713 3459 40 each each DT 39713 3459 41 of of IN 39713 3459 42 them -PRON- PRP 39713 3459 43 is be VBZ 39713 3459 44 indistinguishable indistinguishable JJ 39713 3459 45 from from IN 39713 3459 46 the the DT 39713 3459 47 following follow VBG 39713 3459 48 , , , 39713 3459 49 E_{1 e_{1 NN 39713 3459 50 } } -RRB- 39713 3459 51 indistinguishable indistinguishable JJ 39713 3459 52 from from IN 39713 3459 53 _ _ NNP 39713 3459 54 A A NNP 39713 3459 55 _ _ NNP 39713 3459 56 and and CC 39713 3459 57 E_{_n E_{_n NNP 39713 3459 58 _ _ NNP 39713 3459 59 } } -RRB- 39713 3459 60 from from IN 39713 3459 61 _ _ NNP 39713 3459 62 B B NNP 39713 3459 63 _ _ NNP 39713 3459 64 ; ; : 39713 3459 65 ( ( -LRB- 39713 3459 66 3 3 LS 39713 3459 67 ) ) -RRB- 39713 3459 68 _ _ NNP 39713 3459 69 and and CC 39713 3459 70 besides besides IN 39713 3459 71 that that DT 39713 3459 72 none none NN 39713 3459 73 of of IN 39713 3459 74 the the DT 39713 3459 75 elements element NNS 39713 3459 76 _ _ NNP 39713 3459 77 E E NNP 39713 3459 78 _ _ NNP 39713 3459 79 is be VBZ 39713 3459 80 indistinguishable indistinguishable JJ 39713 3459 81 from from IN 39713 3459 82 any any DT 39713 3459 83 element element NN 39713 3459 84 of of IN 39713 3459 85 the the DT 39713 3459 86 cut cut NN 39713 3459 87 _ _ NNP 39713 3459 88 . . . 39713 3460 1 Or or CC 39713 3460 2 else else RB 39713 3460 3 , , , 39713 3460 4 on on IN 39713 3460 5 the the DT 39713 3460 6 contrary contrary NN 39713 3460 7 , , , 39713 3460 8 in in IN 39713 3460 9 each each DT 39713 3460 10 of of IN 39713 3460 11 the the DT 39713 3460 12 series series NN 39713 3460 13 E_{1 E_{1 NNP 39713 3460 14 } } -RRB- 39713 3460 15 , , , 39713 3460 16 E_{2 E_{2 NNP 39713 3460 17 } } -RRB- 39713 3460 18 , , , 39713 3460 19 ... ... NFP 39713 3460 20 , , , 39713 3460 21 E_{_n E_{_n NNP 39713 3460 22 _ _ NNP 39713 3460 23 } } -RRB- 39713 3460 24 satisfying satisfy VBG 39713 3460 25 the the DT 39713 3460 26 first first JJ 39713 3460 27 two two CD 39713 3460 28 conditions condition NNS 39713 3460 29 , , , 39713 3460 30 there there EX 39713 3460 31 will will MD 39713 3460 32 be be VB 39713 3460 33 an an DT 39713 3460 34 element element NN 39713 3460 35 _ _ NNP 39713 3460 36 E E NNP 39713 3460 37 _ _ NNP 39713 3460 38 indistinguishable indistinguishable JJ 39713 3460 39 from from IN 39713 3460 40 one one CD 39713 3460 41 of of IN 39713 3460 42 the the DT 39713 3460 43 elements element NNS 39713 3460 44 of of IN 39713 3460 45 the the DT 39713 3460 46 cut cut NN 39713 3460 47 . . . 39713 3461 1 In in IN 39713 3461 2 the the DT 39713 3461 3 first first JJ 39713 3461 4 case case NN 39713 3461 5 we -PRON- PRP 39713 3461 6 can can MD 39713 3461 7 go go VB 39713 3461 8 from from IN 39713 3461 9 _ _ NNP 39713 3461 10 A A NNP 39713 3461 11 _ _ NNP 39713 3461 12 to to IN 39713 3461 13 _ _ NNP 39713 3461 14 B B NNP 39713 3461 15 _ _ NNP 39713 3461 16 by by IN 39713 3461 17 a a DT 39713 3461 18 continuous continuous JJ 39713 3461 19 route route NN 39713 3461 20 without without IN 39713 3461 21 quitting quit VBG 39713 3461 22 _ _ NNP 39713 3461 23 C C NNP 39713 3461 24 _ _ NNP 39713 3461 25 and and CC 39713 3461 26 _ _ NNP 39713 3461 27 without without IN 39713 3461 28 meeting meet VBG 39713 3461 29 the the DT 39713 3461 30 cuts cut NNS 39713 3461 31 _ _ NNP 39713 3461 32 ; ; : 39713 3461 33 in in IN 39713 3461 34 the the DT 39713 3461 35 second second JJ 39713 3461 36 case case NN 39713 3461 37 that that WDT 39713 3461 38 is be VBZ 39713 3461 39 impossible impossible JJ 39713 3461 40 . . . 39713 3462 1 If if IN 39713 3462 2 then then RB 39713 3462 3 for for IN 39713 3462 4 any any DT 39713 3462 5 two two CD 39713 3462 6 elements element NNS 39713 3462 7 _ _ NNP 39713 3462 8 A A NNP 39713 3462 9 _ _ NNP 39713 3462 10 and and CC 39713 3462 11 _ _ NNP 39713 3462 12 B B NNP 39713 3462 13 _ _ NNP 39713 3462 14 of of IN 39713 3462 15 the the DT 39713 3462 16 continuum continuum NN 39713 3462 17 _ _ NNP 39713 3462 18 C C NNP 39713 3462 19 _ _ NNP 39713 3462 20 , , , 39713 3462 21 it -PRON- PRP 39713 3462 22 is be VBZ 39713 3462 23 always always RB 39713 3462 24 the the DT 39713 3462 25 first first JJ 39713 3462 26 case case NN 39713 3462 27 which which WDT 39713 3462 28 presents present VBZ 39713 3462 29 itself -PRON- PRP 39713 3462 30 , , , 39713 3462 31 we -PRON- PRP 39713 3462 32 shall shall MD 39713 3462 33 say say VB 39713 3462 34 that that IN 39713 3462 35 _ _ NNP 39713 3462 36 C C NNP 39713 3462 37 _ _ NNP 39713 3462 38 remains remain VBZ 39713 3462 39 all all RB 39713 3462 40 in in IN 39713 3462 41 one one CD 39713 3462 42 piece piece NN 39713 3462 43 despite despite IN 39713 3462 44 the the DT 39713 3462 45 cuts cut NNS 39713 3462 46 . . . 39713 3463 1 Thus thus RB 39713 3463 2 , , , 39713 3463 3 if if IN 39713 3463 4 we -PRON- PRP 39713 3463 5 choose choose VBP 39713 3463 6 the the DT 39713 3463 7 cuts cut NNS 39713 3463 8 in in IN 39713 3463 9 a a DT 39713 3463 10 certain certain JJ 39713 3463 11 way way NN 39713 3463 12 , , , 39713 3463 13 otherwise otherwise RB 39713 3463 14 arbitrary arbitrary JJ 39713 3463 15 , , , 39713 3463 16 it -PRON- PRP 39713 3463 17 may may MD 39713 3463 18 happen happen VB 39713 3463 19 either either CC 39713 3463 20 that that IN 39713 3463 21 the the DT 39713 3463 22 continuum continuum NN 39713 3463 23 remains remain VBZ 39713 3463 24 all all RB 39713 3463 25 in in IN 39713 3463 26 one one CD 39713 3463 27 piece piece NN 39713 3463 28 or or CC 39713 3463 29 that that IN 39713 3463 30 it -PRON- PRP 39713 3463 31 does do VBZ 39713 3463 32 not not RB 39713 3463 33 remain remain VB 39713 3463 34 all all RB 39713 3463 35 in in IN 39713 3463 36 one one CD 39713 3463 37 piece piece NN 39713 3463 38 ; ; , 39713 3463 39 in in IN 39713 3463 40 this this DT 39713 3463 41 latter latter JJ 39713 3463 42 hypothesis hypothesis NN 39713 3463 43 we -PRON- PRP 39713 3463 44 shall shall MD 39713 3463 45 then then RB 39713 3463 46 say say VB 39713 3463 47 that that IN 39713 3463 48 it -PRON- PRP 39713 3463 49 is be VBZ 39713 3463 50 _ _ NNP 39713 3463 51 divided divide VBN 39713 3463 52 _ _ NNP 39713 3463 53 by by IN 39713 3463 54 the the DT 39713 3463 55 cuts cut NNS 39713 3463 56 . . . 39713 3464 1 It -PRON- PRP 39713 3464 2 will will MD 39713 3464 3 be be VB 39713 3464 4 noticed notice VBN 39713 3464 5 that that IN 39713 3464 6 all all PDT 39713 3464 7 these these DT 39713 3464 8 definitions definition NNS 39713 3464 9 are be VBP 39713 3464 10 constructed construct VBN 39713 3464 11 in in IN 39713 3464 12 setting set VBG 39713 3464 13 out out RP 39713 3464 14 solely solely RB 39713 3464 15 from from IN 39713 3464 16 this this DT 39713 3464 17 very very RB 39713 3464 18 simple simple JJ 39713 3464 19 fact fact NN 39713 3464 20 , , , 39713 3464 21 that that IN 39713 3464 22 two two CD 39713 3464 23 manifolds manifold NNS 39713 3464 24 of of IN 39713 3464 25 impressions impression NNS 39713 3464 26 sometimes sometimes RB 39713 3464 27 can can MD 39713 3464 28 be be VB 39713 3464 29 discriminated discriminate VBN 39713 3464 30 , , , 39713 3464 31 sometimes sometimes RB 39713 3464 32 can can MD 39713 3464 33 not not RB 39713 3464 34 be be VB 39713 3464 35 . . . 39713 3465 1 That that DT 39713 3465 2 postulated postulate VBN 39713 3465 3 , , , 39713 3465 4 if if IN 39713 3465 5 , , , 39713 3465 6 to to IN 39713 3465 7 _ _ NNP 39713 3465 8 divide divide NN 39713 3465 9 _ _ NNP 39713 3465 10 a a DT 39713 3465 11 continuum continuum NN 39713 3465 12 , , , 39713 3465 13 it -PRON- PRP 39713 3465 14 suffices suffice VBZ 39713 3465 15 to to TO 39713 3465 16 consider consider VB 39713 3465 17 as as IN 39713 3465 18 cuts cut VBZ 39713 3465 19 a a DT 39713 3465 20 certain certain JJ 39713 3465 21 number number NN 39713 3465 22 of of IN 39713 3465 23 elements element NNS 39713 3465 24 all all RB 39713 3465 25 distinguishable distinguishable JJ 39713 3465 26 from from IN 39713 3465 27 one one CD 39713 3465 28 another another DT 39713 3465 29 , , , 39713 3465 30 we -PRON- PRP 39713 3465 31 say say VBP 39713 3465 32 that that IN 39713 3465 33 this this DT 39713 3465 34 continuum continuum NN 39713 3465 35 _ _ NNP 39713 3465 36 is be VBZ 39713 3465 37 of of IN 39713 3465 38 one one CD 39713 3465 39 dimension dimension NN 39713 3465 40 _ _ NNP 39713 3465 41 ; ; : 39713 3465 42 if if IN 39713 3465 43 , , , 39713 3465 44 on on IN 39713 3465 45 the the DT 39713 3465 46 contrary contrary NN 39713 3465 47 , , , 39713 3465 48 to to TO 39713 3465 49 divide divide VB 39713 3465 50 a a DT 39713 3465 51 continuum continuum NN 39713 3465 52 , , , 39713 3465 53 it -PRON- PRP 39713 3465 54 is be VBZ 39713 3465 55 necessary necessary JJ 39713 3465 56 to to TO 39713 3465 57 consider consider VB 39713 3465 58 as as IN 39713 3465 59 cuts cut VBZ 39713 3465 60 a a DT 39713 3465 61 system system NN 39713 3465 62 of of IN 39713 3465 63 elements element NNS 39713 3465 64 themselves -PRON- PRP 39713 3465 65 forming form VBG 39713 3465 66 one one CD 39713 3465 67 or or CC 39713 3465 68 several several JJ 39713 3465 69 continua continua NN 39713 3465 70 , , , 39713 3465 71 we -PRON- PRP 39713 3465 72 shall shall MD 39713 3465 73 say say VB 39713 3465 74 that that IN 39713 3465 75 this this DT 39713 3465 76 continuum continuum NN 39713 3465 77 is be VBZ 39713 3465 78 _ _ NNP 39713 3465 79 of of IN 39713 3465 80 several several JJ 39713 3465 81 dimensions dimension NNS 39713 3465 82 _ _ NNP 39713 3465 83 . . . 39713 3466 1 If if IN 39713 3466 2 to to TO 39713 3466 3 divide divide VB 39713 3466 4 a a DT 39713 3466 5 continuum continuum JJ 39713 3466 6 _ _ NNP 39713 3466 7 C C NNP 39713 3466 8 _ _ NNP 39713 3466 9 , , , 39713 3466 10 cuts cut NNS 39713 3466 11 forming form VBG 39713 3466 12 one one CD 39713 3466 13 or or CC 39713 3466 14 several several JJ 39713 3466 15 continua continua NN 39713 3466 16 of of IN 39713 3466 17 one one CD 39713 3466 18 dimension dimension NN 39713 3466 19 suffice suffice NN 39713 3466 20 , , , 39713 3466 21 we -PRON- PRP 39713 3466 22 shall shall MD 39713 3466 23 say say VB 39713 3466 24 that that IN 39713 3466 25 _ _ NNP 39713 3466 26 C C NNP 39713 3466 27 _ _ NNP 39713 3466 28 is be VBZ 39713 3466 29 a a DT 39713 3466 30 continuum continuum JJ 39713 3466 31 _ _ NNP 39713 3466 32 of of IN 39713 3466 33 two two CD 39713 3466 34 dimensions dimension NNS 39713 3466 35 _ _ XX 39713 3466 36 ; ; : 39713 3466 37 if if IN 39713 3466 38 cuts cut NNS 39713 3466 39 suffice suffice NN 39713 3466 40 which which WDT 39713 3466 41 form form VBP 39713 3466 42 one one CD 39713 3466 43 or or CC 39713 3466 44 several several JJ 39713 3466 45 continua continua NN 39713 3466 46 of of IN 39713 3466 47 two two CD 39713 3466 48 dimensions dimension NNS 39713 3466 49 at at IN 39713 3466 50 most most RBS 39713 3466 51 , , , 39713 3466 52 we -PRON- PRP 39713 3466 53 shall shall MD 39713 3466 54 say say VB 39713 3466 55 that that IN 39713 3466 56 _ _ NNP 39713 3466 57 C C NNP 39713 3466 58 _ _ NNP 39713 3466 59 is be VBZ 39713 3466 60 a a DT 39713 3466 61 continuum continuum JJ 39713 3466 62 _ _ NNP 39713 3466 63 of of IN 39713 3466 64 three three CD 39713 3466 65 dimensions dimension NNS 39713 3466 66 _ _ XX 39713 3466 67 ; ; : 39713 3466 68 and and CC 39713 3466 69 so so RB 39713 3466 70 on on RB 39713 3466 71 . . . 39713 3467 1 To to TO 39713 3467 2 justify justify VB 39713 3467 3 this this DT 39713 3467 4 definition definition NN 39713 3467 5 it -PRON- PRP 39713 3467 6 is be VBZ 39713 3467 7 proper proper JJ 39713 3467 8 to to TO 39713 3467 9 see see VB 39713 3467 10 whether whether IN 39713 3467 11 it -PRON- PRP 39713 3467 12 is be VBZ 39713 3467 13 in in IN 39713 3467 14 this this DT 39713 3467 15 way way NN 39713 3467 16 that that WDT 39713 3467 17 geometers geometer NNS 39713 3467 18 introduce introduce VBP 39713 3467 19 the the DT 39713 3467 20 notion notion NN 39713 3467 21 of of IN 39713 3467 22 three three CD 39713 3467 23 dimensions dimension NNS 39713 3467 24 at at IN 39713 3467 25 the the DT 39713 3467 26 beginning beginning NN 39713 3467 27 of of IN 39713 3467 28 their -PRON- PRP$ 39713 3467 29 works work NNS 39713 3467 30 . . . 39713 3468 1 Now now RB 39713 3468 2 , , , 39713 3468 3 what what WP 39713 3468 4 do do VBP 39713 3468 5 we -PRON- PRP 39713 3468 6 see see VB 39713 3468 7 ? ? . 39713 3469 1 Usually usually RB 39713 3469 2 they -PRON- PRP 39713 3469 3 begin begin VBP 39713 3469 4 by by IN 39713 3469 5 defining define VBG 39713 3469 6 surfaces surface NNS 39713 3469 7 as as IN 39713 3469 8 the the DT 39713 3469 9 boundaries boundary NNS 39713 3469 10 of of IN 39713 3469 11 solids solid NNS 39713 3469 12 or or CC 39713 3469 13 pieces piece NNS 39713 3469 14 of of IN 39713 3469 15 space space NN 39713 3469 16 , , , 39713 3469 17 lines line NNS 39713 3469 18 as as IN 39713 3469 19 the the DT 39713 3469 20 boundaries boundary NNS 39713 3469 21 of of IN 39713 3469 22 surfaces surface NNS 39713 3469 23 , , , 39713 3469 24 points point NNS 39713 3469 25 as as IN 39713 3469 26 the the DT 39713 3469 27 boundaries boundary NNS 39713 3469 28 of of IN 39713 3469 29 lines line NNS 39713 3469 30 , , , 39713 3469 31 and and CC 39713 3469 32 they -PRON- PRP 39713 3469 33 affirm affirm VBP 39713 3469 34 that that IN 39713 3469 35 the the DT 39713 3469 36 same same JJ 39713 3469 37 procedure procedure NN 39713 3469 38 can can MD 39713 3469 39 not not RB 39713 3469 40 be be VB 39713 3469 41 pushed push VBN 39713 3469 42 further further RB 39713 3469 43 . . . 39713 3470 1 This this DT 39713 3470 2 is be VBZ 39713 3470 3 just just RB 39713 3470 4 the the DT 39713 3470 5 idea idea NN 39713 3470 6 given give VBN 39713 3470 7 above above RB 39713 3470 8 : : : 39713 3470 9 to to TO 39713 3470 10 divide divide VB 39713 3470 11 space space NN 39713 3470 12 , , , 39713 3470 13 cuts cut NNS 39713 3470 14 that that WDT 39713 3470 15 are be VBP 39713 3470 16 called call VBN 39713 3470 17 surfaces surface NNS 39713 3470 18 are be VBP 39713 3470 19 necessary necessary JJ 39713 3470 20 ; ; : 39713 3470 21 to to TO 39713 3470 22 divide divide VB 39713 3470 23 surfaces surface NNS 39713 3470 24 , , , 39713 3470 25 cuts cut NNS 39713 3470 26 that that WDT 39713 3470 27 are be VBP 39713 3470 28 called call VBN 39713 3470 29 lines line NNS 39713 3470 30 are be VBP 39713 3470 31 necessary necessary JJ 39713 3470 32 ; ; : 39713 3470 33 to to TO 39713 3470 34 divide divide VB 39713 3470 35 lines line NNS 39713 3470 36 , , , 39713 3470 37 cuts cut NNS 39713 3470 38 that that WDT 39713 3470 39 are be VBP 39713 3470 40 called call VBN 39713 3470 41 points point NNS 39713 3470 42 are be VBP 39713 3470 43 necessary necessary JJ 39713 3470 44 ; ; : 39713 3470 45 we -PRON- PRP 39713 3470 46 can can MD 39713 3470 47 go go VB 39713 3470 48 no no RB 39713 3470 49 further further RB 39713 3470 50 , , , 39713 3470 51 the the DT 39713 3470 52 point point NN 39713 3470 53 can can MD 39713 3470 54 not not RB 39713 3470 55 be be VB 39713 3470 56 divided divide VBN 39713 3470 57 , , , 39713 3470 58 so so RB 39713 3470 59 the the DT 39713 3470 60 point point NN 39713 3470 61 is be VBZ 39713 3470 62 not not RB 39713 3470 63 a a DT 39713 3470 64 continuum continuum NN 39713 3470 65 . . . 39713 3471 1 Then then RB 39713 3471 2 lines line NNS 39713 3471 3 which which WDT 39713 3471 4 can can MD 39713 3471 5 be be VB 39713 3471 6 divided divide VBN 39713 3471 7 by by IN 39713 3471 8 cuts cut NNS 39713 3471 9 which which WDT 39713 3471 10 are be VBP 39713 3471 11 not not RB 39713 3471 12 continua continua JJ 39713 3471 13 will will MD 39713 3471 14 be be VB 39713 3471 15 continua continua NN 39713 3471 16 of of IN 39713 3471 17 one one CD 39713 3471 18 dimension dimension NN 39713 3471 19 ; ; , 39713 3471 20 surfaces surface NNS 39713 3471 21 which which WDT 39713 3471 22 can can MD 39713 3471 23 be be VB 39713 3471 24 divided divide VBN 39713 3471 25 by by IN 39713 3471 26 continuous continuous JJ 39713 3471 27 cuts cut NNS 39713 3471 28 of of IN 39713 3471 29 one one CD 39713 3471 30 dimension dimension NN 39713 3471 31 will will MD 39713 3471 32 be be VB 39713 3471 33 continua continua NN 39713 3471 34 of of IN 39713 3471 35 two two CD 39713 3471 36 dimensions dimension NNS 39713 3471 37 ; ; : 39713 3471 38 finally finally RB 39713 3471 39 , , , 39713 3471 40 space space NN 39713 3471 41 which which WDT 39713 3471 42 can can MD 39713 3471 43 be be VB 39713 3471 44 divided divide VBN 39713 3471 45 by by IN 39713 3471 46 continuous continuous JJ 39713 3471 47 cuts cut NNS 39713 3471 48 of of IN 39713 3471 49 two two CD 39713 3471 50 dimensions dimension NNS 39713 3471 51 will will MD 39713 3471 52 be be VB 39713 3471 53 a a DT 39713 3471 54 continuum continuum NN 39713 3471 55 of of IN 39713 3471 56 three three CD 39713 3471 57 dimensions dimension NNS 39713 3471 58 . . . 39713 3472 1 Thus thus RB 39713 3472 2 the the DT 39713 3472 3 definition definition NN 39713 3472 4 I -PRON- PRP 39713 3472 5 have have VBP 39713 3472 6 just just RB 39713 3472 7 given give VBN 39713 3472 8 does do VBZ 39713 3472 9 not not RB 39713 3472 10 differ differ VB 39713 3472 11 essentially essentially RB 39713 3472 12 from from IN 39713 3472 13 the the DT 39713 3472 14 usual usual JJ 39713 3472 15 definitions definition NNS 39713 3472 16 ; ; : 39713 3472 17 I -PRON- PRP 39713 3472 18 have have VBP 39713 3472 19 only only RB 39713 3472 20 endeavored endeavor VBN 39713 3472 21 to to TO 39713 3472 22 give give VB 39713 3472 23 it -PRON- PRP 39713 3472 24 a a DT 39713 3472 25 form form NN 39713 3472 26 applicable applicable JJ 39713 3472 27 not not RB 39713 3472 28 to to IN 39713 3472 29 the the DT 39713 3472 30 mathematical mathematical JJ 39713 3472 31 continuum continuum NN 39713 3472 32 , , , 39713 3472 33 but but CC 39713 3472 34 to to IN 39713 3472 35 the the DT 39713 3472 36 physical physical JJ 39713 3472 37 continuum continuum NN 39713 3472 38 , , , 39713 3472 39 which which WDT 39713 3472 40 alone alone RB 39713 3472 41 is be VBZ 39713 3472 42 susceptible susceptible JJ 39713 3472 43 of of IN 39713 3472 44 representation representation NN 39713 3472 45 , , , 39713 3472 46 and and CC 39713 3472 47 yet yet RB 39713 3472 48 to to TO 39713 3472 49 retain retain VB 39713 3472 50 all all PDT 39713 3472 51 its -PRON- PRP$ 39713 3472 52 precision precision NN 39713 3472 53 . . . 39713 3473 1 Moreover moreover RB 39713 3473 2 , , , 39713 3473 3 we -PRON- PRP 39713 3473 4 see see VBP 39713 3473 5 that that IN 39713 3473 6 this this DT 39713 3473 7 definition definition NN 39713 3473 8 applies apply VBZ 39713 3473 9 not not RB 39713 3473 10 alone alone JJ 39713 3473 11 to to IN 39713 3473 12 space space NN 39713 3473 13 ; ; : 39713 3473 14 that that IN 39713 3473 15 in in IN 39713 3473 16 all all DT 39713 3473 17 which which WDT 39713 3473 18 falls fall VBZ 39713 3473 19 under under IN 39713 3473 20 our -PRON- PRP$ 39713 3473 21 senses sense NNS 39713 3473 22 we -PRON- PRP 39713 3473 23 find find VBP 39713 3473 24 the the DT 39713 3473 25 characteristics characteristic NNS 39713 3473 26 of of IN 39713 3473 27 the the DT 39713 3473 28 physical physical JJ 39713 3473 29 continuum continuum NN 39713 3473 30 , , , 39713 3473 31 which which WDT 39713 3473 32 would would MD 39713 3473 33 allow allow VB 39713 3473 34 of of IN 39713 3473 35 the the DT 39713 3473 36 same same JJ 39713 3473 37 classification classification NN 39713 3473 38 ; ; : 39713 3473 39 that that IN 39713 3473 40 it -PRON- PRP 39713 3473 41 would would MD 39713 3473 42 be be VB 39713 3473 43 easy easy JJ 39713 3473 44 to to TO 39713 3473 45 find find VB 39713 3473 46 there there EX 39713 3473 47 examples example NNS 39713 3473 48 of of IN 39713 3473 49 continua continua NN 39713 3473 50 of of IN 39713 3473 51 four four CD 39713 3473 52 , , , 39713 3473 53 of of IN 39713 3473 54 five five CD 39713 3473 55 , , , 39713 3473 56 dimensions dimension NNS 39713 3473 57 , , , 39713 3473 58 in in IN 39713 3473 59 the the DT 39713 3473 60 sense sense NN 39713 3473 61 of of IN 39713 3473 62 the the DT 39713 3473 63 preceding precede VBG 39713 3473 64 definition definition NN 39713 3473 65 ; ; , 39713 3473 66 such such JJ 39713 3473 67 examples example NNS 39713 3473 68 occur occur VBP 39713 3473 69 of of IN 39713 3473 70 themselves -PRON- PRP 39713 3473 71 to to IN 39713 3473 72 the the DT 39713 3473 73 mind mind NN 39713 3473 74 . . . 39713 3474 1 I -PRON- PRP 39713 3474 2 should should MD 39713 3474 3 explain explain VB 39713 3474 4 finally finally RB 39713 3474 5 , , , 39713 3474 6 if if IN 39713 3474 7 I -PRON- PRP 39713 3474 8 had have VBD 39713 3474 9 the the DT 39713 3474 10 time time NN 39713 3474 11 , , , 39713 3474 12 that that IN 39713 3474 13 this this DT 39713 3474 14 science science NN 39713 3474 15 , , , 39713 3474 16 of of IN 39713 3474 17 which which WDT 39713 3474 18 I -PRON- PRP 39713 3474 19 spoke speak VBD 39713 3474 20 above above RB 39713 3474 21 and and CC 39713 3474 22 to to TO 39713 3474 23 which which WDT 39713 3474 24 Riemann Riemann NNP 39713 3474 25 gave give VBD 39713 3474 26 the the DT 39713 3474 27 name name NN 39713 3474 28 of of IN 39713 3474 29 analysis analysis NN 39713 3474 30 situs situs NN 39713 3474 31 , , , 39713 3474 32 teaches teach VBZ 39713 3474 33 us -PRON- PRP 39713 3474 34 to to TO 39713 3474 35 make make VB 39713 3474 36 distinctions distinction NNS 39713 3474 37 among among IN 39713 3474 38 continua continua NN 39713 3474 39 of of IN 39713 3474 40 the the DT 39713 3474 41 same same JJ 39713 3474 42 number number NN 39713 3474 43 of of IN 39713 3474 44 dimensions dimension NNS 39713 3474 45 and and CC 39713 3474 46 that that IN 39713 3474 47 the the DT 39713 3474 48 classification classification NN 39713 3474 49 of of IN 39713 3474 50 these these DT 39713 3474 51 continua continua JJ 39713 3474 52 rests rest NNS 39713 3474 53 also also RB 39713 3474 54 on on IN 39713 3474 55 the the DT 39713 3474 56 consideration consideration NN 39713 3474 57 of of IN 39713 3474 58 cuts cut NNS 39713 3474 59 . . . 39713 3475 1 From from IN 39713 3475 2 this this DT 39713 3475 3 notion notion NN 39713 3475 4 has have VBZ 39713 3475 5 arisen arise VBN 39713 3475 6 that that DT 39713 3475 7 of of IN 39713 3475 8 the the DT 39713 3475 9 mathematical mathematical JJ 39713 3475 10 continuum continuum NN 39713 3475 11 of of IN 39713 3475 12 several several JJ 39713 3475 13 dimensions dimension NNS 39713 3475 14 in in IN 39713 3475 15 the the DT 39713 3475 16 same same JJ 39713 3475 17 way way NN 39713 3475 18 that that WDT 39713 3475 19 the the DT 39713 3475 20 physical physical JJ 39713 3475 21 continuum continuum NN 39713 3475 22 of of IN 39713 3475 23 one one CD 39713 3475 24 dimension dimension NN 39713 3475 25 engendered engender VBD 39713 3475 26 the the DT 39713 3475 27 mathematical mathematical JJ 39713 3475 28 continuum continuum NN 39713 3475 29 of of IN 39713 3475 30 one one CD 39713 3475 31 dimension dimension NN 39713 3475 32 . . . 39713 3476 1 The the DT 39713 3476 2 formula formula NN 39713 3476 3 _ _ NNP 39713 3476 4 A A NNP 39713 3476 5 _ _ NNP 39713 3476 6 > > XX 39713 3476 7 _ _ NNP 39713 3476 8 C C NNP 39713 3476 9 _ _ NNP 39713 3476 10 , , , 39713 3476 11 _ _ NNP 39713 3476 12 A A NNP 39713 3476 13 _ _ NNP 39713 3476 14 = = SYM 39713 3476 15 _ _ NNP 39713 3476 16 B B NNP 39713 3476 17 _ _ NNP 39713 3476 18 , , , 39713 3476 19 _ _ NNP 39713 3476 20 B B NNP 39713 3476 21 _ _ NNP 39713 3476 22 = = SYM 39713 3476 23 _ _ NNP 39713 3476 24 C C NNP 39713 3476 25 _ _ NNP 39713 3476 26 , , , 39713 3476 27 which which WDT 39713 3476 28 summed sum VBD 39713 3476 29 up up RP 39713 3476 30 the the DT 39713 3476 31 data datum NNS 39713 3476 32 of of IN 39713 3476 33 crude crude JJ 39713 3476 34 experience experience NN 39713 3476 35 , , , 39713 3476 36 implied imply VBD 39713 3476 37 an an DT 39713 3476 38 intolerable intolerable JJ 39713 3476 39 contradiction contradiction NN 39713 3476 40 . . . 39713 3477 1 To to TO 39713 3477 2 get get VB 39713 3477 3 free free JJ 39713 3477 4 from from IN 39713 3477 5 it -PRON- PRP 39713 3477 6 , , , 39713 3477 7 it -PRON- PRP 39713 3477 8 was be VBD 39713 3477 9 necessary necessary JJ 39713 3477 10 to to TO 39713 3477 11 introduce introduce VB 39713 3477 12 a a DT 39713 3477 13 new new JJ 39713 3477 14 notion notion NN 39713 3477 15 while while IN 39713 3477 16 still still RB 39713 3477 17 respecting respect VBG 39713 3477 18 the the DT 39713 3477 19 essential essential JJ 39713 3477 20 characteristics characteristic NNS 39713 3477 21 of of IN 39713 3477 22 the the DT 39713 3477 23 physical physical JJ 39713 3477 24 continuum continuum NN 39713 3477 25 of of IN 39713 3477 26 several several JJ 39713 3477 27 dimensions dimension NNS 39713 3477 28 . . . 39713 3478 1 The the DT 39713 3478 2 mathematical mathematical JJ 39713 3478 3 continuum continuum NN 39713 3478 4 of of IN 39713 3478 5 one one CD 39713 3478 6 dimension dimension NN 39713 3478 7 admitted admit VBN 39713 3478 8 of of IN 39713 3478 9 a a DT 39713 3478 10 scale scale NN 39713 3478 11 whose whose WP$ 39713 3478 12 divisions division NNS 39713 3478 13 , , , 39713 3478 14 infinite infinite VB 39713 3478 15 in in IN 39713 3478 16 number number NN 39713 3478 17 , , , 39713 3478 18 corresponded correspond VBN 39713 3478 19 to to IN 39713 3478 20 the the DT 39713 3478 21 different different JJ 39713 3478 22 values value NNS 39713 3478 23 , , , 39713 3478 24 commensurable commensurable JJ 39713 3478 25 or or CC 39713 3478 26 not not RB 39713 3478 27 , , , 39713 3478 28 of of IN 39713 3478 29 one one CD 39713 3478 30 same same JJ 39713 3478 31 magnitude magnitude NN 39713 3478 32 . . . 39713 3479 1 To to TO 39713 3479 2 have have VB 39713 3479 3 the the DT 39713 3479 4 mathematical mathematical JJ 39713 3479 5 continuum continuum NN 39713 3479 6 of of IN 39713 3479 7 _ _ NNP 39713 3479 8 n n CC 39713 3479 9 _ _ NNP 39713 3479 10 dimensions dimension NNS 39713 3479 11 , , , 39713 3479 12 it -PRON- PRP 39713 3479 13 will will MD 39713 3479 14 suffice suffice VB 39713 3479 15 to to TO 39713 3479 16 take take VB 39713 3479 17 _ _ NNP 39713 3479 18 n n CC 39713 3479 19 _ _ NNP 39713 3479 20 like like IN 39713 3479 21 scales scale NNS 39713 3479 22 whose whose WP$ 39713 3479 23 divisions division NNS 39713 3479 24 correspond correspond VBP 39713 3479 25 to to IN 39713 3479 26 different different JJ 39713 3479 27 values value NNS 39713 3479 28 of of IN 39713 3479 29 _ _ NNP 39713 3479 30 n n CC 39713 3479 31 _ _ NNP 39713 3479 32 independent independent JJ 39713 3479 33 magnitudes magnitude NNS 39713 3479 34 called call VBD 39713 3479 35 coordinates coordinate NNS 39713 3479 36 . . . 39713 3480 1 We -PRON- PRP 39713 3480 2 thus thus RB 39713 3480 3 shall shall MD 39713 3480 4 have have VB 39713 3480 5 an an DT 39713 3480 6 image image NN 39713 3480 7 of of IN 39713 3480 8 the the DT 39713 3480 9 physical physical JJ 39713 3480 10 continuum continuum NN 39713 3480 11 of of IN 39713 3480 12 _ _ NNP 39713 3480 13 n n CC 39713 3480 14 _ _ NNP 39713 3480 15 dimensions dimension NNS 39713 3480 16 , , , 39713 3480 17 and and CC 39713 3480 18 this this DT 39713 3480 19 image image NN 39713 3480 20 will will MD 39713 3480 21 be be VB 39713 3480 22 as as RB 39713 3480 23 faithful faithful JJ 39713 3480 24 as as IN 39713 3480 25 it -PRON- PRP 39713 3480 26 can can MD 39713 3480 27 be be VB 39713 3480 28 after after IN 39713 3480 29 the the DT 39713 3480 30 determination determination NN 39713 3480 31 not not RB 39713 3480 32 to to TO 39713 3480 33 allow allow VB 39713 3480 34 the the DT 39713 3480 35 contradiction contradiction NN 39713 3480 36 of of IN 39713 3480 37 which which WDT 39713 3480 38 I -PRON- PRP 39713 3480 39 spoke speak VBD 39713 3480 40 above above RB 39713 3480 41 . . . 39713 3481 1 4 4 LS 39713 3481 2 . . . 39713 3482 1 _ _ NNP 39713 3482 2 The the DT 39713 3482 3 Notion Notion NNP 39713 3482 4 of of IN 39713 3482 5 Point Point NNP 39713 3482 6 _ _ NNP 39713 3482 7 It -PRON- PRP 39713 3482 8 seems seem VBZ 39713 3482 9 now now RB 39713 3482 10 that that IN 39713 3482 11 the the DT 39713 3482 12 question question NN 39713 3482 13 we -PRON- PRP 39713 3482 14 put put VBP 39713 3482 15 to to IN 39713 3482 16 ourselves -PRON- PRP 39713 3482 17 at at IN 39713 3482 18 the the DT 39713 3482 19 start start NN 39713 3482 20 is be VBZ 39713 3482 21 answered answer VBN 39713 3482 22 . . . 39713 3483 1 When when WRB 39713 3483 2 we -PRON- PRP 39713 3483 3 say say VBP 39713 3483 4 that that DT 39713 3483 5 space space NN 39713 3483 6 has have VBZ 39713 3483 7 three three CD 39713 3483 8 dimensions dimension NNS 39713 3483 9 , , , 39713 3483 10 it -PRON- PRP 39713 3483 11 will will MD 39713 3483 12 be be VB 39713 3483 13 said say VBN 39713 3483 14 , , , 39713 3483 15 we -PRON- PRP 39713 3483 16 mean mean VBP 39713 3483 17 that that IN 39713 3483 18 the the DT 39713 3483 19 manifold manifold NN 39713 3483 20 of of IN 39713 3483 21 points point NNS 39713 3483 22 of of IN 39713 3483 23 space space NN 39713 3483 24 satisfies satisfie NNS 39713 3483 25 the the DT 39713 3483 26 definition definition NN 39713 3483 27 we -PRON- PRP 39713 3483 28 have have VBP 39713 3483 29 just just RB 39713 3483 30 given give VBN 39713 3483 31 of of IN 39713 3483 32 the the DT 39713 3483 33 physical physical JJ 39713 3483 34 continuum continuum NN 39713 3483 35 of of IN 39713 3483 36 three three CD 39713 3483 37 dimensions dimension NNS 39713 3483 38 . . . 39713 3484 1 To to TO 39713 3484 2 be be VB 39713 3484 3 content content JJ 39713 3484 4 with with IN 39713 3484 5 that that DT 39713 3484 6 would would MD 39713 3484 7 be be VB 39713 3484 8 to to TO 39713 3484 9 suppose suppose VB 39713 3484 10 that that IN 39713 3484 11 we -PRON- PRP 39713 3484 12 know know VBP 39713 3484 13 what what WP 39713 3484 14 is be VBZ 39713 3484 15 the the DT 39713 3484 16 manifold manifold NN 39713 3484 17 of of IN 39713 3484 18 points point NNS 39713 3484 19 of of IN 39713 3484 20 space space NN 39713 3484 21 , , , 39713 3484 22 or or CC 39713 3484 23 even even RB 39713 3484 24 one one CD 39713 3484 25 point point NN 39713 3484 26 of of IN 39713 3484 27 space space NN 39713 3484 28 . . . 39713 3485 1 Now now RB 39713 3485 2 that that DT 39713 3485 3 is be VBZ 39713 3485 4 not not RB 39713 3485 5 as as RB 39713 3485 6 simple simple JJ 39713 3485 7 as as IN 39713 3485 8 one one PRP 39713 3485 9 might may MD 39713 3485 10 think think VB 39713 3485 11 . . . 39713 3486 1 Every every DT 39713 3486 2 one one NN 39713 3486 3 believes believe VBZ 39713 3486 4 he -PRON- PRP 39713 3486 5 knows know VBZ 39713 3486 6 what what WP 39713 3486 7 a a DT 39713 3486 8 point point NN 39713 3486 9 is be VBZ 39713 3486 10 , , , 39713 3486 11 and and CC 39713 3486 12 it -PRON- PRP 39713 3486 13 is be VBZ 39713 3486 14 just just RB 39713 3486 15 because because IN 39713 3486 16 we -PRON- PRP 39713 3486 17 know know VBP 39713 3486 18 it -PRON- PRP 39713 3486 19 too too RB 39713 3486 20 well well RB 39713 3486 21 that that IN 39713 3486 22 we -PRON- PRP 39713 3486 23 think think VBP 39713 3486 24 there there EX 39713 3486 25 is be VBZ 39713 3486 26 no no DT 39713 3486 27 need need NN 39713 3486 28 of of IN 39713 3486 29 defining define VBG 39713 3486 30 it -PRON- PRP 39713 3486 31 . . . 39713 3487 1 Surely surely RB 39713 3487 2 we -PRON- PRP 39713 3487 3 can can MD 39713 3487 4 not not RB 39713 3487 5 be be VB 39713 3487 6 required require VBN 39713 3487 7 to to TO 39713 3487 8 know know VB 39713 3487 9 how how WRB 39713 3487 10 to to TO 39713 3487 11 define define VB 39713 3487 12 it -PRON- PRP 39713 3487 13 , , , 39713 3487 14 because because IN 39713 3487 15 in in IN 39713 3487 16 going go VBG 39713 3487 17 back back RB 39713 3487 18 from from IN 39713 3487 19 definition definition NN 39713 3487 20 to to IN 39713 3487 21 definition definition NN 39713 3487 22 a a DT 39713 3487 23 time time NN 39713 3487 24 must must MD 39713 3487 25 come come VB 39713 3487 26 when when WRB 39713 3487 27 we -PRON- PRP 39713 3487 28 must must MD 39713 3487 29 stop stop VB 39713 3487 30 . . . 39713 3488 1 But but CC 39713 3488 2 at at IN 39713 3488 3 what what WDT 39713 3488 4 moment moment NN 39713 3488 5 should should MD 39713 3488 6 we -PRON- PRP 39713 3488 7 stop stop VB 39713 3488 8 ? ? . 39713 3489 1 We -PRON- PRP 39713 3489 2 shall shall MD 39713 3489 3 stop stop VB 39713 3489 4 first first RB 39713 3489 5 when when WRB 39713 3489 6 we -PRON- PRP 39713 3489 7 reach reach VBP 39713 3489 8 an an DT 39713 3489 9 object object NN 39713 3489 10 which which WDT 39713 3489 11 falls fall VBZ 39713 3489 12 under under IN 39713 3489 13 our -PRON- PRP$ 39713 3489 14 senses sense NNS 39713 3489 15 or or CC 39713 3489 16 that that IN 39713 3489 17 we -PRON- PRP 39713 3489 18 can can MD 39713 3489 19 represent represent VB 39713 3489 20 to to IN 39713 3489 21 ourselves -PRON- PRP 39713 3489 22 ; ; : 39713 3489 23 definition definition NN 39713 3489 24 then then RB 39713 3489 25 will will MD 39713 3489 26 become become VB 39713 3489 27 useless useless JJ 39713 3489 28 ; ; : 39713 3489 29 we -PRON- PRP 39713 3489 30 do do VBP 39713 3489 31 not not RB 39713 3489 32 define define VB 39713 3489 33 the the DT 39713 3489 34 sheep sheep NN 39713 3489 35 to to IN 39713 3489 36 a a DT 39713 3489 37 child child NN 39713 3489 38 ; ; : 39713 3489 39 we -PRON- PRP 39713 3489 40 say say VBP 39713 3489 41 to to IN 39713 3489 42 him -PRON- PRP 39713 3489 43 : : : 39713 3489 44 _ _ NNP 39713 3489 45 See See NNP 39713 3489 46 _ _ NNP 39713 3489 47 the the DT 39713 3489 48 sheep sheep NN 39713 3489 49 . . . 39713 3490 1 So so RB 39713 3490 2 , , , 39713 3490 3 then then RB 39713 3490 4 , , , 39713 3490 5 we -PRON- PRP 39713 3490 6 should should MD 39713 3490 7 ask ask VB 39713 3490 8 ourselves -PRON- PRP 39713 3490 9 if if IN 39713 3490 10 it -PRON- PRP 39713 3490 11 is be VBZ 39713 3490 12 possible possible JJ 39713 3490 13 to to TO 39713 3490 14 represent represent VB 39713 3490 15 to to IN 39713 3490 16 ourselves -PRON- PRP 39713 3490 17 a a DT 39713 3490 18 point point NN 39713 3490 19 of of IN 39713 3490 20 space space NN 39713 3490 21 . . . 39713 3491 1 Those those DT 39713 3491 2 who who WP 39713 3491 3 answer answer VBP 39713 3491 4 yes yes UH 39713 3491 5 do do VBP 39713 3491 6 not not RB 39713 3491 7 reflect reflect VB 39713 3491 8 that that IN 39713 3491 9 they -PRON- PRP 39713 3491 10 represent represent VBP 39713 3491 11 to to IN 39713 3491 12 themselves -PRON- PRP 39713 3491 13 in in IN 39713 3491 14 reality reality NN 39713 3491 15 a a DT 39713 3491 16 white white JJ 39713 3491 17 spot spot NN 39713 3491 18 made make VBN 39713 3491 19 with with IN 39713 3491 20 the the DT 39713 3491 21 chalk chalk NN 39713 3491 22 on on IN 39713 3491 23 a a DT 39713 3491 24 blackboard blackboard NN 39713 3491 25 or or CC 39713 3491 26 a a DT 39713 3491 27 black black JJ 39713 3491 28 spot spot NN 39713 3491 29 made make VBN 39713 3491 30 with with IN 39713 3491 31 a a DT 39713 3491 32 pen pen NN 39713 3491 33 on on IN 39713 3491 34 white white JJ 39713 3491 35 paper paper NN 39713 3491 36 , , , 39713 3491 37 and and CC 39713 3491 38 that that IN 39713 3491 39 they -PRON- PRP 39713 3491 40 can can MD 39713 3491 41 represent represent VB 39713 3491 42 to to IN 39713 3491 43 themselves -PRON- PRP 39713 3491 44 only only RB 39713 3491 45 an an DT 39713 3491 46 object object NN 39713 3491 47 or or CC 39713 3491 48 rather rather RB 39713 3491 49 the the DT 39713 3491 50 impressions impression NNS 39713 3491 51 that that WDT 39713 3491 52 this this DT 39713 3491 53 object object NN 39713 3491 54 made make VBN 39713 3491 55 on on IN 39713 3491 56 their -PRON- PRP$ 39713 3491 57 senses sense NNS 39713 3491 58 . . . 39713 3492 1 When when WRB 39713 3492 2 they -PRON- PRP 39713 3492 3 try try VBP 39713 3492 4 to to TO 39713 3492 5 represent represent VB 39713 3492 6 to to IN 39713 3492 7 themselves -PRON- PRP 39713 3492 8 a a DT 39713 3492 9 point point NN 39713 3492 10 , , , 39713 3492 11 they -PRON- PRP 39713 3492 12 represent represent VBP 39713 3492 13 the the DT 39713 3492 14 impressions impression NNS 39713 3492 15 that that WDT 39713 3492 16 very very RB 39713 3492 17 little little JJ 39713 3492 18 objects object NNS 39713 3492 19 made make VBD 39713 3492 20 them -PRON- PRP 39713 3492 21 feel feel VB 39713 3492 22 . . . 39713 3493 1 It -PRON- PRP 39713 3493 2 is be VBZ 39713 3493 3 needless needless JJ 39713 3493 4 to to TO 39713 3493 5 add add VB 39713 3493 6 that that DT 39713 3493 7 two two CD 39713 3493 8 different different JJ 39713 3493 9 objects object NNS 39713 3493 10 , , , 39713 3493 11 though though IN 39713 3493 12 both both DT 39713 3493 13 very very RB 39713 3493 14 little little JJ 39713 3493 15 , , , 39713 3493 16 may may MD 39713 3493 17 produce produce VB 39713 3493 18 extremely extremely RB 39713 3493 19 different different JJ 39713 3493 20 impressions impression NNS 39713 3493 21 , , , 39713 3493 22 but but CC 39713 3493 23 I -PRON- PRP 39713 3493 24 shall shall MD 39713 3493 25 not not RB 39713 3493 26 dwell dwell VB 39713 3493 27 on on IN 39713 3493 28 this this DT 39713 3493 29 difficulty difficulty NN 39713 3493 30 , , , 39713 3493 31 which which WDT 39713 3493 32 would would MD 39713 3493 33 still still RB 39713 3493 34 require require VB 39713 3493 35 some some DT 39713 3493 36 discussion discussion NN 39713 3493 37 . . . 39713 3494 1 But but CC 39713 3494 2 it -PRON- PRP 39713 3494 3 is be VBZ 39713 3494 4 not not RB 39713 3494 5 a a DT 39713 3494 6 question question NN 39713 3494 7 of of IN 39713 3494 8 that that DT 39713 3494 9 ; ; : 39713 3494 10 it -PRON- PRP 39713 3494 11 does do VBZ 39713 3494 12 not not RB 39713 3494 13 suffice suffice VB 39713 3494 14 to to TO 39713 3494 15 represent represent VB 39713 3494 16 _ _ NNP 39713 3494 17 one one CD 39713 3494 18 _ _ NNP 39713 3494 19 point point NN 39713 3494 20 , , , 39713 3494 21 it -PRON- PRP 39713 3494 22 is be VBZ 39713 3494 23 necessary necessary JJ 39713 3494 24 to to TO 39713 3494 25 represent represent VB 39713 3494 26 _ _ NNP 39713 3494 27 a a DT 39713 3494 28 certain certain JJ 39713 3494 29 _ _ NNP 39713 3494 30 point point NN 39713 3494 31 and and CC 39713 3494 32 to to TO 39713 3494 33 have have VB 39713 3494 34 the the DT 39713 3494 35 means mean NNS 39713 3494 36 of of IN 39713 3494 37 distinguishing distinguish VBG 39713 3494 38 it -PRON- PRP 39713 3494 39 from from IN 39713 3494 40 an an DT 39713 3494 41 _ _ NNP 39713 3494 42 other other JJ 39713 3494 43 _ _ NNP 39713 3494 44 point point NN 39713 3494 45 . . . 39713 3495 1 And and CC 39713 3495 2 in in IN 39713 3495 3 fact fact NN 39713 3495 4 , , , 39713 3495 5 that that IN 39713 3495 6 we -PRON- PRP 39713 3495 7 may may MD 39713 3495 8 be be VB 39713 3495 9 able able JJ 39713 3495 10 to to TO 39713 3495 11 apply apply VB 39713 3495 12 to to IN 39713 3495 13 a a DT 39713 3495 14 continuum continuum NN 39713 3495 15 the the DT 39713 3495 16 rule rule NN 39713 3495 17 I -PRON- PRP 39713 3495 18 have have VBP 39713 3495 19 above above RB 39713 3495 20 expounded expound VBN 39713 3495 21 and and CC 39713 3495 22 by by IN 39713 3495 23 which which WDT 39713 3495 24 one one PRP 39713 3495 25 may may MD 39713 3495 26 recognize recognize VB 39713 3495 27 the the DT 39713 3495 28 number number NN 39713 3495 29 of of IN 39713 3495 30 its -PRON- PRP$ 39713 3495 31 dimensions dimension NNS 39713 3495 32 , , , 39713 3495 33 we -PRON- PRP 39713 3495 34 must must MD 39713 3495 35 rely rely VB 39713 3495 36 upon upon IN 39713 3495 37 the the DT 39713 3495 38 fact fact NN 39713 3495 39 that that IN 39713 3495 40 two two CD 39713 3495 41 elements element NNS 39713 3495 42 of of IN 39713 3495 43 this this DT 39713 3495 44 continuum continuum NN 39713 3495 45 sometimes sometimes RB 39713 3495 46 can can MD 39713 3495 47 and and CC 39713 3495 48 sometimes sometimes RB 39713 3495 49 can can MD 39713 3495 50 not not RB 39713 3495 51 be be VB 39713 3495 52 distinguished distinguish VBN 39713 3495 53 . . . 39713 3496 1 It -PRON- PRP 39713 3496 2 is be VBZ 39713 3496 3 necessary necessary JJ 39713 3496 4 therefore therefore RB 39713 3496 5 that that IN 39713 3496 6 we -PRON- PRP 39713 3496 7 should should MD 39713 3496 8 in in IN 39713 3496 9 certain certain JJ 39713 3496 10 cases case NNS 39713 3496 11 know know VBP 39713 3496 12 how how WRB 39713 3496 13 to to TO 39713 3496 14 represent represent VB 39713 3496 15 to to IN 39713 3496 16 ourselves -PRON- PRP 39713 3496 17 _ _ IN 39713 3496 18 a a DT 39713 3496 19 specific specific JJ 39713 3496 20 _ _ NNP 39713 3496 21 element element NN 39713 3496 22 and and CC 39713 3496 23 to to TO 39713 3496 24 distinguish distinguish VB 39713 3496 25 it -PRON- PRP 39713 3496 26 from from IN 39713 3496 27 an an DT 39713 3496 28 _ _ NNP 39713 3496 29 other other JJ 39713 3496 30 _ _ NNP 39713 3496 31 element element NN 39713 3496 32 . . . 39713 3497 1 The the DT 39713 3497 2 question question NN 39713 3497 3 is be VBZ 39713 3497 4 to to TO 39713 3497 5 know know VB 39713 3497 6 whether whether IN 39713 3497 7 the the DT 39713 3497 8 point point NN 39713 3497 9 that that WDT 39713 3497 10 I -PRON- PRP 39713 3497 11 represented represent VBD 39713 3497 12 to to IN 39713 3497 13 myself -PRON- PRP 39713 3497 14 an an DT 39713 3497 15 hour hour NN 39713 3497 16 ago ago RB 39713 3497 17 is be VBZ 39713 3497 18 the the DT 39713 3497 19 same same JJ 39713 3497 20 as as IN 39713 3497 21 this this DT 39713 3497 22 that that WDT 39713 3497 23 I -PRON- PRP 39713 3497 24 now now RB 39713 3497 25 represent represent VBP 39713 3497 26 to to IN 39713 3497 27 myself -PRON- PRP 39713 3497 28 , , , 39713 3497 29 or or CC 39713 3497 30 whether whether IN 39713 3497 31 it -PRON- PRP 39713 3497 32 is be VBZ 39713 3497 33 a a DT 39713 3497 34 different different JJ 39713 3497 35 point point NN 39713 3497 36 . . . 39713 3498 1 In in IN 39713 3498 2 other other JJ 39713 3498 3 words word NNS 39713 3498 4 , , , 39713 3498 5 how how WRB 39713 3498 6 do do VBP 39713 3498 7 we -PRON- PRP 39713 3498 8 know know VB 39713 3498 9 whether whether IN 39713 3498 10 the the DT 39713 3498 11 point point NN 39713 3498 12 occupied occupy VBN 39713 3498 13 by by IN 39713 3498 14 the the DT 39713 3498 15 object object NN 39713 3498 16 _ _ NNP 39713 3498 17 A A NNP 39713 3498 18 _ _ NNP 39713 3498 19 at at IN 39713 3498 20 the the DT 39713 3498 21 instant instant NN 39713 3498 22 [ [ -LRB- 39713 3498 23 alpha alpha NN 39713 3498 24 ] ] -RRB- 39713 3498 25 is be VBZ 39713 3498 26 the the DT 39713 3498 27 same same JJ 39713 3498 28 as as IN 39713 3498 29 the the DT 39713 3498 30 point point NN 39713 3498 31 occupied occupy VBN 39713 3498 32 by by IN 39713 3498 33 the the DT 39713 3498 34 object object NN 39713 3498 35 _ _ NNP 39713 3498 36 B B NNP 39713 3498 37 _ _ NNP 39713 3498 38 at at IN 39713 3498 39 the the DT 39713 3498 40 instant instant NN 39713 3498 41 [ [ -LRB- 39713 3498 42 beta beta NN 39713 3498 43 ] ] -RRB- 39713 3498 44 , , , 39713 3498 45 or or CC 39713 3498 46 still still RB 39713 3498 47 better well JJR 39713 3498 48 , , , 39713 3498 49 what what WP 39713 3498 50 this this DT 39713 3498 51 means mean VBZ 39713 3498 52 ? ? . 39713 3499 1 I -PRON- PRP 39713 3499 2 am be VBP 39713 3499 3 seated seat VBN 39713 3499 4 in in IN 39713 3499 5 my -PRON- PRP$ 39713 3499 6 room room NN 39713 3499 7 ; ; : 39713 3499 8 an an DT 39713 3499 9 object object NN 39713 3499 10 is be VBZ 39713 3499 11 placed place VBN 39713 3499 12 on on IN 39713 3499 13 my -PRON- PRP$ 39713 3499 14 table table NN 39713 3499 15 ; ; : 39713 3499 16 during during IN 39713 3499 17 a a DT 39713 3499 18 second second JJ 39713 3499 19 I -PRON- PRP 39713 3499 20 do do VBP 39713 3499 21 not not RB 39713 3499 22 move move VB 39713 3499 23 , , , 39713 3499 24 no no DT 39713 3499 25 one one NN 39713 3499 26 touches touch VBZ 39713 3499 27 the the DT 39713 3499 28 object object NN 39713 3499 29 . . . 39713 3500 1 I -PRON- PRP 39713 3500 2 am be VBP 39713 3500 3 tempted tempt VBN 39713 3500 4 to to TO 39713 3500 5 say say VB 39713 3500 6 that that IN 39713 3500 7 the the DT 39713 3500 8 point point NN 39713 3500 9 _ _ NNP 39713 3500 10 A A NNP 39713 3500 11 _ _ NNP 39713 3500 12 which which WDT 39713 3500 13 this this DT 39713 3500 14 object object NN 39713 3500 15 occupied occupy VBN 39713 3500 16 at at IN 39713 3500 17 the the DT 39713 3500 18 beginning beginning NN 39713 3500 19 of of IN 39713 3500 20 this this DT 39713 3500 21 second second JJ 39713 3500 22 is be VBZ 39713 3500 23 identical identical JJ 39713 3500 24 with with IN 39713 3500 25 the the DT 39713 3500 26 point point NN 39713 3500 27 _ _ NNP 39713 3500 28 B B NNP 39713 3500 29 _ _ NNP 39713 3500 30 which which WDT 39713 3500 31 it -PRON- PRP 39713 3500 32 occupies occupy VBZ 39713 3500 33 at at IN 39713 3500 34 its -PRON- PRP$ 39713 3500 35 end end NN 39713 3500 36 . . . 39713 3501 1 Not not RB 39713 3501 2 at at RB 39713 3501 3 all all RB 39713 3501 4 ; ; : 39713 3501 5 from from IN 39713 3501 6 the the DT 39713 3501 7 point point NN 39713 3501 8 _ _ NNP 39713 3501 9 A A NNP 39713 3501 10 _ _ NNP 39713 3501 11 to to IN 39713 3501 12 the the DT 39713 3501 13 point point NN 39713 3501 14 _ _ NNP 39713 3501 15 B B NNP 39713 3501 16 _ _ NNP 39713 3501 17 is be VBZ 39713 3501 18 30 30 CD 39713 3501 19 kilometers kilometer NNS 39713 3501 20 , , , 39713 3501 21 because because IN 39713 3501 22 the the DT 39713 3501 23 object object NN 39713 3501 24 has have VBZ 39713 3501 25 been be VBN 39713 3501 26 carried carry VBN 39713 3501 27 along along RB 39713 3501 28 in in IN 39713 3501 29 the the DT 39713 3501 30 motion motion NN 39713 3501 31 of of IN 39713 3501 32 the the DT 39713 3501 33 earth earth NN 39713 3501 34 . . . 39713 3502 1 We -PRON- PRP 39713 3502 2 can can MD 39713 3502 3 not not RB 39713 3502 4 know know VB 39713 3502 5 whether whether IN 39713 3502 6 an an DT 39713 3502 7 object object NN 39713 3502 8 , , , 39713 3502 9 be be VB 39713 3502 10 it -PRON- PRP 39713 3502 11 large large JJ 39713 3502 12 or or CC 39713 3502 13 small small JJ 39713 3502 14 , , , 39713 3502 15 has have VBZ 39713 3502 16 not not RB 39713 3502 17 changed change VBN 39713 3502 18 its -PRON- PRP$ 39713 3502 19 absolute absolute JJ 39713 3502 20 position position NN 39713 3502 21 in in IN 39713 3502 22 space space NN 39713 3502 23 , , , 39713 3502 24 and and CC 39713 3502 25 not not RB 39713 3502 26 only only RB 39713 3502 27 can can MD 39713 3502 28 we -PRON- PRP 39713 3502 29 not not RB 39713 3502 30 affirm affirm VB 39713 3502 31 it -PRON- PRP 39713 3502 32 , , , 39713 3502 33 but but CC 39713 3502 34 this this DT 39713 3502 35 affirmation affirmation NN 39713 3502 36 has have VBZ 39713 3502 37 no no DT 39713 3502 38 meaning meaning NN 39713 3502 39 and and CC 39713 3502 40 in in IN 39713 3502 41 any any DT 39713 3502 42 case case NN 39713 3502 43 can can MD 39713 3502 44 not not RB 39713 3502 45 correspond correspond VB 39713 3502 46 to to IN 39713 3502 47 any any DT 39713 3502 48 representation representation NN 39713 3502 49 . . . 39713 3503 1 But but CC 39713 3503 2 then then RB 39713 3503 3 we -PRON- PRP 39713 3503 4 may may MD 39713 3503 5 ask ask VB 39713 3503 6 ourselves -PRON- PRP 39713 3503 7 if if IN 39713 3503 8 the the DT 39713 3503 9 relative relative JJ 39713 3503 10 position position NN 39713 3503 11 of of IN 39713 3503 12 an an DT 39713 3503 13 object object NN 39713 3503 14 with with IN 39713 3503 15 regard regard NN 39713 3503 16 to to IN 39713 3503 17 other other JJ 39713 3503 18 objects object NNS 39713 3503 19 has have VBZ 39713 3503 20 changed change VBN 39713 3503 21 or or CC 39713 3503 22 not not RB 39713 3503 23 , , , 39713 3503 24 and and CC 39713 3503 25 first first RB 39713 3503 26 whether whether IN 39713 3503 27 the the DT 39713 3503 28 relative relative JJ 39713 3503 29 position position NN 39713 3503 30 of of IN 39713 3503 31 this this DT 39713 3503 32 object object NN 39713 3503 33 with with IN 39713 3503 34 regard regard NN 39713 3503 35 to to IN 39713 3503 36 our -PRON- PRP$ 39713 3503 37 body body NN 39713 3503 38 has have VBZ 39713 3503 39 changed change VBN 39713 3503 40 . . . 39713 3504 1 If if IN 39713 3504 2 the the DT 39713 3504 3 impressions impression NNS 39713 3504 4 this this DT 39713 3504 5 object object NN 39713 3504 6 makes make VBZ 39713 3504 7 upon upon IN 39713 3504 8 us -PRON- PRP 39713 3504 9 have have VBP 39713 3504 10 not not RB 39713 3504 11 changed change VBN 39713 3504 12 , , , 39713 3504 13 we -PRON- PRP 39713 3504 14 shall shall MD 39713 3504 15 be be VB 39713 3504 16 inclined incline VBN 39713 3504 17 to to TO 39713 3504 18 judge judge VB 39713 3504 19 that that IN 39713 3504 20 neither neither DT 39713 3504 21 has have VBZ 39713 3504 22 this this DT 39713 3504 23 relative relative JJ 39713 3504 24 position position NN 39713 3504 25 changed change VBN 39713 3504 26 ; ; : 39713 3504 27 if if IN 39713 3504 28 they -PRON- PRP 39713 3504 29 have have VBP 39713 3504 30 changed change VBN 39713 3504 31 , , , 39713 3504 32 we -PRON- PRP 39713 3504 33 shall shall MD 39713 3504 34 judge judge VB 39713 3504 35 that that IN 39713 3504 36 this this DT 39713 3504 37 object object NN 39713 3504 38 has have VBZ 39713 3504 39 changed change VBN 39713 3504 40 either either CC 39713 3504 41 in in IN 39713 3504 42 state state NN 39713 3504 43 or or CC 39713 3504 44 in in IN 39713 3504 45 relative relative JJ 39713 3504 46 position position NN 39713 3504 47 . . . 39713 3505 1 It -PRON- PRP 39713 3505 2 remains remain VBZ 39713 3505 3 to to TO 39713 3505 4 decide decide VB 39713 3505 5 which which WDT 39713 3505 6 of of IN 39713 3505 7 the the DT 39713 3505 8 _ _ NNP 39713 3505 9 two two CD 39713 3505 10 _ _ NNP 39713 3505 11 . . . 39713 3506 1 I -PRON- PRP 39713 3506 2 have have VBP 39713 3506 3 explained explain VBN 39713 3506 4 in in IN 39713 3506 5 ' ' `` 39713 3506 6 Science Science NNP 39713 3506 7 and and CC 39713 3506 8 Hypothesis Hypothesis NNP 39713 3506 9 ' ' '' 39713 3506 10 how how WRB 39713 3506 11 we -PRON- PRP 39713 3506 12 have have VBP 39713 3506 13 been be VBN 39713 3506 14 led lead VBN 39713 3506 15 to to TO 39713 3506 16 distinguish distinguish VB 39713 3506 17 the the DT 39713 3506 18 changes change NNS 39713 3506 19 of of IN 39713 3506 20 position position NN 39713 3506 21 . . . 39713 3507 1 Moreover moreover RB 39713 3507 2 , , , 39713 3507 3 I -PRON- PRP 39713 3507 4 shall shall MD 39713 3507 5 return return VB 39713 3507 6 to to IN 39713 3507 7 that that DT 39713 3507 8 further further RB 39713 3507 9 on on RB 39713 3507 10 . . . 39713 3508 1 We -PRON- PRP 39713 3508 2 come come VBP 39713 3508 3 to to TO 39713 3508 4 know know VB 39713 3508 5 , , , 39713 3508 6 therefore therefore RB 39713 3508 7 , , , 39713 3508 8 whether whether IN 39713 3508 9 the the DT 39713 3508 10 relative relative JJ 39713 3508 11 position position NN 39713 3508 12 of of IN 39713 3508 13 an an DT 39713 3508 14 object object NN 39713 3508 15 with with IN 39713 3508 16 regard regard NN 39713 3508 17 to to IN 39713 3508 18 our -PRON- PRP$ 39713 3508 19 body body NN 39713 3508 20 has have VBZ 39713 3508 21 or or CC 39713 3508 22 has have VBZ 39713 3508 23 not not RB 39713 3508 24 remained remain VBN 39713 3508 25 the the DT 39713 3508 26 same same JJ 39713 3508 27 . . . 39713 3509 1 If if IN 39713 3509 2 now now RB 39713 3509 3 we -PRON- PRP 39713 3509 4 see see VBP 39713 3509 5 that that IN 39713 3509 6 two two CD 39713 3509 7 objects object NNS 39713 3509 8 have have VBP 39713 3509 9 retained retain VBN 39713 3509 10 their -PRON- PRP$ 39713 3509 11 relative relative JJ 39713 3509 12 position position NN 39713 3509 13 with with IN 39713 3509 14 regard regard NN 39713 3509 15 to to IN 39713 3509 16 our -PRON- PRP$ 39713 3509 17 body body NN 39713 3509 18 , , , 39713 3509 19 we -PRON- PRP 39713 3509 20 conclude conclude VBP 39713 3509 21 that that IN 39713 3509 22 the the DT 39713 3509 23 relative relative JJ 39713 3509 24 position position NN 39713 3509 25 of of IN 39713 3509 26 these these DT 39713 3509 27 two two CD 39713 3509 28 objects object NNS 39713 3509 29 with with IN 39713 3509 30 regard regard NN 39713 3509 31 to to IN 39713 3509 32 one one CD 39713 3509 33 another another DT 39713 3509 34 has have VBZ 39713 3509 35 not not RB 39713 3509 36 changed change VBN 39713 3509 37 ; ; : 39713 3509 38 but but CC 39713 3509 39 we -PRON- PRP 39713 3509 40 reach reach VBP 39713 3509 41 this this DT 39713 3509 42 conclusion conclusion NN 39713 3509 43 only only RB 39713 3509 44 by by IN 39713 3509 45 indirect indirect JJ 39713 3509 46 reasoning reasoning NN 39713 3509 47 . . . 39713 3510 1 The the DT 39713 3510 2 only only JJ 39713 3510 3 thing thing NN 39713 3510 4 that that WDT 39713 3510 5 we -PRON- PRP 39713 3510 6 know know VBP 39713 3510 7 directly directly RB 39713 3510 8 is be VBZ 39713 3510 9 the the DT 39713 3510 10 relative relative JJ 39713 3510 11 position position NN 39713 3510 12 of of IN 39713 3510 13 the the DT 39713 3510 14 objects object NNS 39713 3510 15 with with IN 39713 3510 16 regard regard NN 39713 3510 17 to to IN 39713 3510 18 our -PRON- PRP$ 39713 3510 19 body body NN 39713 3510 20 . . . 39713 3511 1 _ _ NNP 39713 3511 2 A a DT 39713 3511 3 fortiori fortiori NN 39713 3511 4 _ _ IN 39713 3511 5 it -PRON- PRP 39713 3511 6 is be VBZ 39713 3511 7 only only RB 39713 3511 8 by by IN 39713 3511 9 indirect indirect JJ 39713 3511 10 reasoning reasoning NN 39713 3511 11 that that IN 39713 3511 12 we -PRON- PRP 39713 3511 13 think think VBP 39713 3511 14 we -PRON- PRP 39713 3511 15 know know VBP 39713 3511 16 ( ( -LRB- 39713 3511 17 and and CC 39713 3511 18 , , , 39713 3511 19 moreover moreover RB 39713 3511 20 , , , 39713 3511 21 this this DT 39713 3511 22 belief belief NN 39713 3511 23 is be VBZ 39713 3511 24 delusive delusive JJ 39713 3511 25 ) ) -RRB- 39713 3511 26 whether whether IN 39713 3511 27 the the DT 39713 3511 28 absolute absolute JJ 39713 3511 29 position position NN 39713 3511 30 of of IN 39713 3511 31 the the DT 39713 3511 32 object object NN 39713 3511 33 has have VBZ 39713 3511 34 changed change VBN 39713 3511 35 . . . 39713 3512 1 In in IN 39713 3512 2 a a DT 39713 3512 3 word word NN 39713 3512 4 , , , 39713 3512 5 the the DT 39713 3512 6 system system NN 39713 3512 7 of of IN 39713 3512 8 coordinate coordinate JJ 39713 3512 9 axes axis NNS 39713 3512 10 to to TO 39713 3512 11 which which WDT 39713 3512 12 we -PRON- PRP 39713 3512 13 naturally naturally RB 39713 3512 14 refer refer VBP 39713 3512 15 all all DT 39713 3512 16 exterior exterior JJ 39713 3512 17 objects object NNS 39713 3512 18 is be VBZ 39713 3512 19 a a DT 39713 3512 20 system system NN 39713 3512 21 of of IN 39713 3512 22 axes axis NNS 39713 3512 23 invariably invariably RB 39713 3512 24 bound bind VBN 39713 3512 25 to to IN 39713 3512 26 our -PRON- PRP$ 39713 3512 27 body body NN 39713 3512 28 , , , 39713 3512 29 and and CC 39713 3512 30 carried carry VBD 39713 3512 31 around around RB 39713 3512 32 with with IN 39713 3512 33 us -PRON- PRP 39713 3512 34 . . . 39713 3513 1 It -PRON- PRP 39713 3513 2 is be VBZ 39713 3513 3 impossible impossible JJ 39713 3513 4 to to TO 39713 3513 5 represent represent VB 39713 3513 6 to to IN 39713 3513 7 oneself oneself PRP 39713 3513 8 absolute absolute JJ 39713 3513 9 space space NN 39713 3513 10 ; ; : 39713 3513 11 when when WRB 39713 3513 12 I -PRON- PRP 39713 3513 13 try try VBP 39713 3513 14 to to TO 39713 3513 15 represent represent VB 39713 3513 16 to to IN 39713 3513 17 myself -PRON- PRP 39713 3513 18 simultaneously simultaneously RB 39713 3513 19 objects object NNS 39713 3513 20 and and CC 39713 3513 21 myself -PRON- PRP 39713 3513 22 in in IN 39713 3513 23 motion motion NN 39713 3513 24 in in IN 39713 3513 25 absolute absolute JJ 39713 3513 26 space space NN 39713 3513 27 , , , 39713 3513 28 in in IN 39713 3513 29 reality reality NN 39713 3513 30 I -PRON- PRP 39713 3513 31 represent represent VBP 39713 3513 32 to to IN 39713 3513 33 myself -PRON- PRP 39713 3513 34 my -PRON- PRP$ 39713 3513 35 own own JJ 39713 3513 36 self self NN 39713 3513 37 motionless motionless NN 39713 3513 38 and and CC 39713 3513 39 seeing see VBG 39713 3513 40 move move NN 39713 3513 41 around around IN 39713 3513 42 me -PRON- PRP 39713 3513 43 different different JJ 39713 3513 44 objects object NNS 39713 3513 45 and and CC 39713 3513 46 a a DT 39713 3513 47 man man NN 39713 3513 48 that that WDT 39713 3513 49 is be VBZ 39713 3513 50 exterior exterior JJ 39713 3513 51 to to IN 39713 3513 52 me -PRON- PRP 39713 3513 53 , , , 39713 3513 54 but but CC 39713 3513 55 that that IN 39713 3513 56 I -PRON- PRP 39713 3513 57 convene convene VBP 39713 3513 58 to to TO 39713 3513 59 call call VB 39713 3513 60 me -PRON- PRP 39713 3513 61 . . . 39713 3514 1 Will Will MD 39713 3514 2 the the DT 39713 3514 3 difficulty difficulty NN 39713 3514 4 be be VB 39713 3514 5 solved solve VBN 39713 3514 6 if if IN 39713 3514 7 we -PRON- PRP 39713 3514 8 agree agree VBP 39713 3514 9 to to TO 39713 3514 10 refer refer VB 39713 3514 11 everything everything NN 39713 3514 12 to to IN 39713 3514 13 these these DT 39713 3514 14 axes axis NNS 39713 3514 15 bound bind VBN 39713 3514 16 to to IN 39713 3514 17 our -PRON- PRP$ 39713 3514 18 body body NN 39713 3514 19 ? ? . 39713 3515 1 Shall Shall MD 39713 3515 2 we -PRON- PRP 39713 3515 3 know know VBP 39713 3515 4 then then RB 39713 3515 5 what what WP 39713 3515 6 is be VBZ 39713 3515 7 a a DT 39713 3515 8 point point NN 39713 3515 9 thus thus RB 39713 3515 10 defined define VBN 39713 3515 11 by by IN 39713 3515 12 its -PRON- PRP$ 39713 3515 13 relative relative JJ 39713 3515 14 position position NN 39713 3515 15 with with IN 39713 3515 16 regard regard NN 39713 3515 17 to to IN 39713 3515 18 ourselves -PRON- PRP 39713 3515 19 ? ? . 39713 3516 1 Many many JJ 39713 3516 2 persons person NNS 39713 3516 3 will will MD 39713 3516 4 answer answer VB 39713 3516 5 yes yes UH 39713 3516 6 and and CC 39713 3516 7 will will MD 39713 3516 8 say say VB 39713 3516 9 that that IN 39713 3516 10 they -PRON- PRP 39713 3516 11 ' ' `` 39713 3516 12 localize localize VBP 39713 3516 13 ' ' '' 39713 3516 14 exterior exterior NNP 39713 3516 15 objects object NNS 39713 3516 16 . . . 39713 3517 1 What what WP 39713 3517 2 does do VBZ 39713 3517 3 this this DT 39713 3517 4 mean mean VB 39713 3517 5 ? ? . 39713 3518 1 To to TO 39713 3518 2 localize localize VB 39713 3518 3 an an DT 39713 3518 4 object object NN 39713 3518 5 simply simply RB 39713 3518 6 means mean VBZ 39713 3518 7 to to TO 39713 3518 8 represent represent VB 39713 3518 9 to to IN 39713 3518 10 oneself oneself PRP 39713 3518 11 the the DT 39713 3518 12 movements movement NNS 39713 3518 13 that that WDT 39713 3518 14 would would MD 39713 3518 15 be be VB 39713 3518 16 necessary necessary JJ 39713 3518 17 to to TO 39713 3518 18 reach reach VB 39713 3518 19 it -PRON- PRP 39713 3518 20 . . . 39713 3519 1 I -PRON- PRP 39713 3519 2 will will MD 39713 3519 3 explain explain VB 39713 3519 4 myself -PRON- PRP 39713 3519 5 . . . 39713 3520 1 It -PRON- PRP 39713 3520 2 is be VBZ 39713 3520 3 not not RB 39713 3520 4 a a DT 39713 3520 5 question question NN 39713 3520 6 of of IN 39713 3520 7 representing represent VBG 39713 3520 8 the the DT 39713 3520 9 movements movement NNS 39713 3520 10 themselves -PRON- PRP 39713 3520 11 in in IN 39713 3520 12 space space NN 39713 3520 13 , , , 39713 3520 14 but but CC 39713 3520 15 solely solely RB 39713 3520 16 of of IN 39713 3520 17 representing represent VBG 39713 3520 18 to to IN 39713 3520 19 oneself oneself PRP 39713 3520 20 the the DT 39713 3520 21 muscular muscular JJ 39713 3520 22 sensations sensation NNS 39713 3520 23 which which WDT 39713 3520 24 accompany accompany VBP 39713 3520 25 these these DT 39713 3520 26 movements movement NNS 39713 3520 27 and and CC 39713 3520 28 which which WDT 39713 3520 29 do do VBP 39713 3520 30 not not RB 39713 3520 31 presuppose presuppose VB 39713 3520 32 the the DT 39713 3520 33 preexistence preexistence NN 39713 3520 34 of of IN 39713 3520 35 the the DT 39713 3520 36 notion notion NN 39713 3520 37 of of IN 39713 3520 38 space space NN 39713 3520 39 . . . 39713 3521 1 If if IN 39713 3521 2 we -PRON- PRP 39713 3521 3 suppose suppose VBP 39713 3521 4 two two CD 39713 3521 5 different different JJ 39713 3521 6 objects object NNS 39713 3521 7 which which WDT 39713 3521 8 successively successively RB 39713 3521 9 occupy occupy VBP 39713 3521 10 the the DT 39713 3521 11 same same JJ 39713 3521 12 relative relative JJ 39713 3521 13 position position NN 39713 3521 14 with with IN 39713 3521 15 regard regard NN 39713 3521 16 to to IN 39713 3521 17 ourselves -PRON- PRP 39713 3521 18 , , , 39713 3521 19 the the DT 39713 3521 20 impressions impression NNS 39713 3521 21 that that WDT 39713 3521 22 these these DT 39713 3521 23 two two CD 39713 3521 24 objects object NNS 39713 3521 25 make make VBP 39713 3521 26 upon upon IN 39713 3521 27 us -PRON- PRP 39713 3521 28 will will MD 39713 3521 29 be be VB 39713 3521 30 very very RB 39713 3521 31 different different JJ 39713 3521 32 ; ; : 39713 3521 33 if if IN 39713 3521 34 we -PRON- PRP 39713 3521 35 localize localize VBP 39713 3521 36 them -PRON- PRP 39713 3521 37 at at IN 39713 3521 38 the the DT 39713 3521 39 same same JJ 39713 3521 40 point point NN 39713 3521 41 , , , 39713 3521 42 this this DT 39713 3521 43 is be VBZ 39713 3521 44 simply simply RB 39713 3521 45 because because IN 39713 3521 46 it -PRON- PRP 39713 3521 47 is be VBZ 39713 3521 48 necessary necessary JJ 39713 3521 49 to to TO 39713 3521 50 make make VB 39713 3521 51 the the DT 39713 3521 52 same same JJ 39713 3521 53 movements movement NNS 39713 3521 54 to to TO 39713 3521 55 reach reach VB 39713 3521 56 them -PRON- PRP 39713 3521 57 ; ; : 39713 3521 58 apart apart RB 39713 3521 59 from from IN 39713 3521 60 that that DT 39713 3521 61 , , , 39713 3521 62 one one PRP 39713 3521 63 can can MD 39713 3521 64 not not RB 39713 3521 65 just just RB 39713 3521 66 see see VB 39713 3521 67 what what WP 39713 3521 68 they -PRON- PRP 39713 3521 69 could could MD 39713 3521 70 have have VB 39713 3521 71 in in IN 39713 3521 72 common common JJ 39713 3521 73 . . . 39713 3522 1 But but CC 39713 3522 2 , , , 39713 3522 3 given give VBN 39713 3522 4 an an DT 39713 3522 5 object object NN 39713 3522 6 , , , 39713 3522 7 we -PRON- PRP 39713 3522 8 can can MD 39713 3522 9 conceive conceive VB 39713 3522 10 many many JJ 39713 3522 11 different different JJ 39713 3522 12 series series NN 39713 3522 13 of of IN 39713 3522 14 movements movement NNS 39713 3522 15 which which WDT 39713 3522 16 equally equally RB 39713 3522 17 enable enable VBP 39713 3522 18 us -PRON- PRP 39713 3522 19 to to TO 39713 3522 20 reach reach VB 39713 3522 21 it -PRON- PRP 39713 3522 22 . . . 39713 3523 1 If if IN 39713 3523 2 then then RB 39713 3523 3 we -PRON- PRP 39713 3523 4 represent represent VBP 39713 3523 5 to to IN 39713 3523 6 ourselves -PRON- PRP 39713 3523 7 a a DT 39713 3523 8 point point NN 39713 3523 9 by by IN 39713 3523 10 representing represent VBG 39713 3523 11 to to IN 39713 3523 12 ourselves -PRON- PRP 39713 3523 13 the the DT 39713 3523 14 series series NN 39713 3523 15 of of IN 39713 3523 16 muscular muscular JJ 39713 3523 17 sensations sensation NNS 39713 3523 18 which which WDT 39713 3523 19 accompany accompany VBP 39713 3523 20 the the DT 39713 3523 21 movements movement NNS 39713 3523 22 which which WDT 39713 3523 23 enable enable VBP 39713 3523 24 us -PRON- PRP 39713 3523 25 to to TO 39713 3523 26 reach reach VB 39713 3523 27 this this DT 39713 3523 28 point point NN 39713 3523 29 , , , 39713 3523 30 there there EX 39713 3523 31 will will MD 39713 3523 32 be be VB 39713 3523 33 many many JJ 39713 3523 34 ways way NNS 39713 3523 35 entirely entirely RB 39713 3523 36 different different JJ 39713 3523 37 of of IN 39713 3523 38 representing represent VBG 39713 3523 39 to to IN 39713 3523 40 oneself oneself PRP 39713 3523 41 the the DT 39713 3523 42 same same JJ 39713 3523 43 point point NN 39713 3523 44 . . . 39713 3524 1 If if IN 39713 3524 2 one one PRP 39713 3524 3 is be VBZ 39713 3524 4 not not RB 39713 3524 5 satisfied satisfied JJ 39713 3524 6 with with IN 39713 3524 7 this this DT 39713 3524 8 solution solution NN 39713 3524 9 , , , 39713 3524 10 but but CC 39713 3524 11 wishes wish VBZ 39713 3524 12 , , , 39713 3524 13 for for IN 39713 3524 14 instance instance NN 39713 3524 15 , , , 39713 3524 16 to to TO 39713 3524 17 bring bring VB 39713 3524 18 in in RP 39713 3524 19 the the DT 39713 3524 20 visual visual JJ 39713 3524 21 sensations sensation NNS 39713 3524 22 along along IN 39713 3524 23 with with IN 39713 3524 24 the the DT 39713 3524 25 muscular muscular JJ 39713 3524 26 sensations sensation NNS 39713 3524 27 , , , 39713 3524 28 there there EX 39713 3524 29 will will MD 39713 3524 30 be be VB 39713 3524 31 one one CD 39713 3524 32 or or CC 39713 3524 33 two two CD 39713 3524 34 more more JJR 39713 3524 35 ways way NNS 39713 3524 36 of of IN 39713 3524 37 representing represent VBG 39713 3524 38 to to IN 39713 3524 39 oneself oneself PRP 39713 3524 40 this this DT 39713 3524 41 same same JJ 39713 3524 42 point point NN 39713 3524 43 and and CC 39713 3524 44 the the DT 39713 3524 45 difficulty difficulty NN 39713 3524 46 will will MD 39713 3524 47 only only RB 39713 3524 48 be be VB 39713 3524 49 increased increase VBN 39713 3524 50 . . . 39713 3525 1 In in IN 39713 3525 2 any any DT 39713 3525 3 case case NN 39713 3525 4 the the DT 39713 3525 5 following follow VBG 39713 3525 6 question question NN 39713 3525 7 comes come VBZ 39713 3525 8 up up RP 39713 3525 9 : : : 39713 3525 10 Why why WRB 39713 3525 11 do do VBP 39713 3525 12 we -PRON- PRP 39713 3525 13 think think VB 39713 3525 14 that that IN 39713 3525 15 all all PDT 39713 3525 16 these these DT 39713 3525 17 representations representation NNS 39713 3525 18 so so RB 39713 3525 19 different different JJ 39713 3525 20 from from IN 39713 3525 21 one one CD 39713 3525 22 another another DT 39713 3525 23 still still RB 39713 3525 24 represent represent VBP 39713 3525 25 the the DT 39713 3525 26 same same JJ 39713 3525 27 point point NN 39713 3525 28 ? ? . 39713 3526 1 Another another DT 39713 3526 2 remark remark NN 39713 3526 3 : : : 39713 3526 4 I -PRON- PRP 39713 3526 5 have have VBP 39713 3526 6 just just RB 39713 3526 7 said say VBN 39713 3526 8 that that IN 39713 3526 9 it -PRON- PRP 39713 3526 10 is be VBZ 39713 3526 11 to to IN 39713 3526 12 our -PRON- PRP$ 39713 3526 13 own own JJ 39713 3526 14 body body NN 39713 3526 15 that that WDT 39713 3526 16 we -PRON- PRP 39713 3526 17 naturally naturally RB 39713 3526 18 refer refer VBP 39713 3526 19 exterior exterior NNP 39713 3526 20 objects object NNS 39713 3526 21 ; ; : 39713 3526 22 that that IN 39713 3526 23 we -PRON- PRP 39713 3526 24 carry carry VBP 39713 3526 25 about about RP 39713 3526 26 everywhere everywhere RB 39713 3526 27 with with IN 39713 3526 28 us -PRON- PRP 39713 3526 29 a a DT 39713 3526 30 system system NN 39713 3526 31 of of IN 39713 3526 32 axes axis NNS 39713 3526 33 to to TO 39713 3526 34 which which WDT 39713 3526 35 we -PRON- PRP 39713 3526 36 refer refer VBP 39713 3526 37 all all PDT 39713 3526 38 the the DT 39713 3526 39 points point NNS 39713 3526 40 of of IN 39713 3526 41 space space NN 39713 3526 42 and and CC 39713 3526 43 that that IN 39713 3526 44 this this DT 39713 3526 45 system system NN 39713 3526 46 of of IN 39713 3526 47 axes axis NNS 39713 3526 48 seems seem VBZ 39713 3526 49 to to TO 39713 3526 50 be be VB 39713 3526 51 invariably invariably RB 39713 3526 52 bound bind VBN 39713 3526 53 to to IN 39713 3526 54 our -PRON- PRP$ 39713 3526 55 body body NN 39713 3526 56 . . . 39713 3527 1 It -PRON- PRP 39713 3527 2 should should MD 39713 3527 3 be be VB 39713 3527 4 noticed notice VBN 39713 3527 5 that that IN 39713 3527 6 rigorously rigorously RB 39713 3527 7 we -PRON- PRP 39713 3527 8 could could MD 39713 3527 9 not not RB 39713 3527 10 speak speak VB 39713 3527 11 of of IN 39713 3527 12 axes axis NNS 39713 3527 13 invariably invariably RB 39713 3527 14 bound bind VBN 39713 3527 15 to to IN 39713 3527 16 the the DT 39713 3527 17 body body NN 39713 3527 18 unless unless IN 39713 3527 19 the the DT 39713 3527 20 different different JJ 39713 3527 21 parts part NNS 39713 3527 22 of of IN 39713 3527 23 this this DT 39713 3527 24 body body NN 39713 3527 25 were be VBD 39713 3527 26 themselves -PRON- PRP 39713 3527 27 invariably invariably RB 39713 3527 28 bound bind VBN 39713 3527 29 to to IN 39713 3527 30 one one CD 39713 3527 31 another another DT 39713 3527 32 . . . 39713 3528 1 As as IN 39713 3528 2 this this DT 39713 3528 3 is be VBZ 39713 3528 4 not not RB 39713 3528 5 the the DT 39713 3528 6 case case NN 39713 3528 7 , , , 39713 3528 8 we -PRON- PRP 39713 3528 9 ought ought MD 39713 3528 10 , , , 39713 3528 11 before before IN 39713 3528 12 referring refer VBG 39713 3528 13 exterior exterior NNP 39713 3528 14 objects object VBZ 39713 3528 15 to to IN 39713 3528 16 these these DT 39713 3528 17 fictitious fictitious JJ 39713 3528 18 axes axis NNS 39713 3528 19 , , , 39713 3528 20 to to TO 39713 3528 21 suppose suppose VB 39713 3528 22 our -PRON- PRP$ 39713 3528 23 body body NN 39713 3528 24 brought bring VBN 39713 3528 25 back back RB 39713 3528 26 to to IN 39713 3528 27 the the DT 39713 3528 28 initial initial JJ 39713 3528 29 attitude attitude NN 39713 3528 30 . . . 39713 3529 1 5 5 CD 39713 3529 2 . . . 39713 3530 1 _ _ NNP 39713 3530 2 The the DT 39713 3530 3 Notion Notion NNP 39713 3530 4 of of IN 39713 3530 5 Displacement Displacement NNP 39713 3530 6 _ _ NNP 39713 3530 7 I -PRON- PRP 39713 3530 8 have have VBP 39713 3530 9 shown show VBN 39713 3530 10 in in IN 39713 3530 11 ' ' `` 39713 3530 12 Science Science NNP 39713 3530 13 and and CC 39713 3530 14 Hypothesis Hypothesis NNP 39713 3530 15 ' ' '' 39713 3530 16 the the DT 39713 3530 17 preponderant preponderant NN 39713 3530 18 rôle rôle NN 39713 3530 19 played play VBN 39713 3530 20 by by IN 39713 3530 21 the the DT 39713 3530 22 movements movement NNS 39713 3530 23 of of IN 39713 3530 24 our -PRON- PRP$ 39713 3530 25 body body NN 39713 3530 26 in in IN 39713 3530 27 the the DT 39713 3530 28 genesis genesis NN 39713 3530 29 of of IN 39713 3530 30 the the DT 39713 3530 31 notion notion NN 39713 3530 32 of of IN 39713 3530 33 space space NN 39713 3530 34 . . . 39713 3531 1 For for IN 39713 3531 2 a a DT 39713 3531 3 being be VBG 39713 3531 4 completely completely RB 39713 3531 5 immovable immovable JJ 39713 3531 6 there there EX 39713 3531 7 would would MD 39713 3531 8 be be VB 39713 3531 9 neither neither CC 39713 3531 10 space space NN 39713 3531 11 nor nor CC 39713 3531 12 geometry geometry NN 39713 3531 13 ; ; : 39713 3531 14 in in IN 39713 3531 15 vain vain JJ 39713 3531 16 would would MD 39713 3531 17 exterior exterior VB 39713 3531 18 objects object NNS 39713 3531 19 be be VB 39713 3531 20 displaced displace VBN 39713 3531 21 about about IN 39713 3531 22 him -PRON- PRP 39713 3531 23 , , , 39713 3531 24 the the DT 39713 3531 25 variations variation NNS 39713 3531 26 which which WDT 39713 3531 27 these these DT 39713 3531 28 displacements displacement NNS 39713 3531 29 would would MD 39713 3531 30 make make VB 39713 3531 31 in in IN 39713 3531 32 his -PRON- PRP$ 39713 3531 33 impressions impression NNS 39713 3531 34 would would MD 39713 3531 35 not not RB 39713 3531 36 be be VB 39713 3531 37 attributed attribute VBN 39713 3531 38 by by IN 39713 3531 39 this this DT 39713 3531 40 being be VBG 39713 3531 41 to to IN 39713 3531 42 changes change NNS 39713 3531 43 of of IN 39713 3531 44 position position NN 39713 3531 45 , , , 39713 3531 46 but but CC 39713 3531 47 to to IN 39713 3531 48 simple simple JJ 39713 3531 49 changes change NNS 39713 3531 50 of of IN 39713 3531 51 state state NN 39713 3531 52 ; ; : 39713 3531 53 this this DT 39713 3531 54 being being NN 39713 3531 55 would would MD 39713 3531 56 have have VB 39713 3531 57 no no DT 39713 3531 58 means means NN 39713 3531 59 of of IN 39713 3531 60 distinguishing distinguish VBG 39713 3531 61 these these DT 39713 3531 62 two two CD 39713 3531 63 sorts sort NNS 39713 3531 64 of of IN 39713 3531 65 changes change NNS 39713 3531 66 , , , 39713 3531 67 and and CC 39713 3531 68 this this DT 39713 3531 69 distinction distinction NN 39713 3531 70 , , , 39713 3531 71 fundamental fundamental JJ 39713 3531 72 for for IN 39713 3531 73 us -PRON- PRP 39713 3531 74 , , , 39713 3531 75 would would MD 39713 3531 76 have have VB 39713 3531 77 no no DT 39713 3531 78 meaning meaning NN 39713 3531 79 for for IN 39713 3531 80 him -PRON- PRP 39713 3531 81 . . . 39713 3532 1 The the DT 39713 3532 2 movements movement NNS 39713 3532 3 that that WDT 39713 3532 4 we -PRON- PRP 39713 3532 5 impress impress VBP 39713 3532 6 upon upon IN 39713 3532 7 our -PRON- PRP$ 39713 3532 8 members member NNS 39713 3532 9 have have VBP 39713 3532 10 as as IN 39713 3532 11 effect effect NN 39713 3532 12 the the DT 39713 3532 13 varying varying NN 39713 3532 14 of of IN 39713 3532 15 the the DT 39713 3532 16 impressions impression NNS 39713 3532 17 produced produce VBN 39713 3532 18 on on IN 39713 3532 19 our -PRON- PRP$ 39713 3532 20 senses sense NNS 39713 3532 21 by by IN 39713 3532 22 external external JJ 39713 3532 23 objects object NNS 39713 3532 24 ; ; : 39713 3532 25 other other JJ 39713 3532 26 causes cause NNS 39713 3532 27 may may MD 39713 3532 28 likewise likewise RB 39713 3532 29 make make VB 39713 3532 30 them -PRON- PRP 39713 3532 31 vary vary VB 39713 3532 32 ; ; : 39713 3532 33 but but CC 39713 3532 34 we -PRON- PRP 39713 3532 35 are be VBP 39713 3532 36 led lead VBN 39713 3532 37 to to TO 39713 3532 38 distinguish distinguish VB 39713 3532 39 the the DT 39713 3532 40 changes change NNS 39713 3532 41 produced produce VBN 39713 3532 42 by by IN 39713 3532 43 our -PRON- PRP$ 39713 3532 44 own own JJ 39713 3532 45 motions motion NNS 39713 3532 46 and and CC 39713 3532 47 we -PRON- PRP 39713 3532 48 easily easily RB 39713 3532 49 discriminate discriminate VBP 39713 3532 50 them -PRON- PRP 39713 3532 51 for for IN 39713 3532 52 two two CD 39713 3532 53 reasons reason NNS 39713 3532 54 : : : 39713 3532 55 ( ( -LRB- 39713 3532 56 1 1 LS 39713 3532 57 ) ) -RRB- 39713 3532 58 because because IN 39713 3532 59 they -PRON- PRP 39713 3532 60 are be VBP 39713 3532 61 voluntary voluntary JJ 39713 3532 62 ; ; : 39713 3532 63 ( ( -LRB- 39713 3532 64 2 2 LS 39713 3532 65 ) ) -RRB- 39713 3532 66 because because IN 39713 3532 67 they -PRON- PRP 39713 3532 68 are be VBP 39713 3532 69 accompanied accompany VBN 39713 3532 70 by by IN 39713 3532 71 muscular muscular JJ 39713 3532 72 sensations sensation NNS 39713 3532 73 . . . 39713 3533 1 So so RB 39713 3533 2 we -PRON- PRP 39713 3533 3 naturally naturally RB 39713 3533 4 divide divide VBP 39713 3533 5 the the DT 39713 3533 6 changes change NNS 39713 3533 7 that that WDT 39713 3533 8 our -PRON- PRP$ 39713 3533 9 impressions impression NNS 39713 3533 10 may may MD 39713 3533 11 undergo undergo VB 39713 3533 12 into into IN 39713 3533 13 two two CD 39713 3533 14 categories category NNS 39713 3533 15 to to TO 39713 3533 16 which which WDT 39713 3533 17 perhaps perhaps RB 39713 3533 18 I -PRON- PRP 39713 3533 19 have have VBP 39713 3533 20 given give VBN 39713 3533 21 an an DT 39713 3533 22 inappropriate inappropriate JJ 39713 3533 23 designation designation NN 39713 3533 24 : : : 39713 3533 25 ( ( -LRB- 39713 3533 26 1 1 LS 39713 3533 27 ) ) -RRB- 39713 3533 28 the the DT 39713 3533 29 internal internal JJ 39713 3533 30 changes change NNS 39713 3533 31 , , , 39713 3533 32 which which WDT 39713 3533 33 are be VBP 39713 3533 34 voluntary voluntary JJ 39713 3533 35 and and CC 39713 3533 36 accompanied accompany VBN 39713 3533 37 by by IN 39713 3533 38 muscular muscular JJ 39713 3533 39 sensations sensation NNS 39713 3533 40 ; ; , 39713 3533 41 ( ( -LRB- 39713 3533 42 2 2 LS 39713 3533 43 ) ) -RRB- 39713 3533 44 the the DT 39713 3533 45 external external JJ 39713 3533 46 changes change NNS 39713 3533 47 , , , 39713 3533 48 having have VBG 39713 3533 49 the the DT 39713 3533 50 opposite opposite JJ 39713 3533 51 characteristics characteristic NNS 39713 3533 52 . . . 39713 3534 1 We -PRON- PRP 39713 3534 2 then then RB 39713 3534 3 observe observe VBP 39713 3534 4 that that IN 39713 3534 5 among among IN 39713 3534 6 the the DT 39713 3534 7 external external JJ 39713 3534 8 changes change NNS 39713 3534 9 are be VBP 39713 3534 10 some some DT 39713 3534 11 which which WDT 39713 3534 12 can can MD 39713 3534 13 be be VB 39713 3534 14 corrected correct VBN 39713 3534 15 , , , 39713 3534 16 thanks thank NNS 39713 3534 17 to to IN 39713 3534 18 an an DT 39713 3534 19 internal internal JJ 39713 3534 20 change change NN 39713 3534 21 which which WDT 39713 3534 22 brings bring VBZ 39713 3534 23 everything everything NN 39713 3534 24 back back RB 39713 3534 25 to to IN 39713 3534 26 the the DT 39713 3534 27 primitive primitive JJ 39713 3534 28 state state NN 39713 3534 29 ; ; : 39713 3534 30 others other NNS 39713 3534 31 can can MD 39713 3534 32 not not RB 39713 3534 33 be be VB 39713 3534 34 corrected correct VBN 39713 3534 35 in in IN 39713 3534 36 this this DT 39713 3534 37 way way NN 39713 3534 38 ( ( -LRB- 39713 3534 39 it -PRON- PRP 39713 3534 40 is be VBZ 39713 3534 41 thus thus RB 39713 3534 42 that that DT 39713 3534 43 , , , 39713 3534 44 when when WRB 39713 3534 45 an an DT 39713 3534 46 exterior exterior JJ 39713 3534 47 object object NN 39713 3534 48 is be VBZ 39713 3534 49 displaced displace VBN 39713 3534 50 , , , 39713 3534 51 we -PRON- PRP 39713 3534 52 may may MD 39713 3534 53 then then RB 39713 3534 54 by by IN 39713 3534 55 changing change VBG 39713 3534 56 our -PRON- PRP$ 39713 3534 57 own own JJ 39713 3534 58 position position NN 39713 3534 59 replace replace VB 39713 3534 60 ourselves -PRON- PRP 39713 3534 61 as as IN 39713 3534 62 regards regard VBZ 39713 3534 63 this this DT 39713 3534 64 object object NN 39713 3534 65 in in IN 39713 3534 66 the the DT 39713 3534 67 same same JJ 39713 3534 68 relative relative JJ 39713 3534 69 position position NN 39713 3534 70 as as IN 39713 3534 71 before before RB 39713 3534 72 , , , 39713 3534 73 so so IN 39713 3534 74 as as IN 39713 3534 75 to to TO 39713 3534 76 reestablish reestablish VB 39713 3534 77 the the DT 39713 3534 78 original original JJ 39713 3534 79 aggregate aggregate NN 39713 3534 80 of of IN 39713 3534 81 impressions impression NNS 39713 3534 82 ; ; : 39713 3534 83 if if IN 39713 3534 84 this this DT 39713 3534 85 object object NN 39713 3534 86 was be VBD 39713 3534 87 not not RB 39713 3534 88 displaced displace VBN 39713 3534 89 , , , 39713 3534 90 but but CC 39713 3534 91 changed change VBD 39713 3534 92 its -PRON- PRP$ 39713 3534 93 state state NN 39713 3534 94 , , , 39713 3534 95 that that DT 39713 3534 96 is be VBZ 39713 3534 97 impossible impossible JJ 39713 3534 98 ) ) -RRB- 39713 3534 99 . . . 39713 3535 1 Thence thence NN 39713 3535 2 comes come VBZ 39713 3535 3 a a DT 39713 3535 4 new new JJ 39713 3535 5 distinction distinction NN 39713 3535 6 among among IN 39713 3535 7 external external JJ 39713 3535 8 changes change NNS 39713 3535 9 : : : 39713 3535 10 those those DT 39713 3535 11 which which WDT 39713 3535 12 may may MD 39713 3535 13 be be VB 39713 3535 14 so so RB 39713 3535 15 corrected correct VBN 39713 3535 16 we -PRON- PRP 39713 3535 17 call call VBP 39713 3535 18 changes change NNS 39713 3535 19 of of IN 39713 3535 20 position position NN 39713 3535 21 ; ; : 39713 3535 22 and and CC 39713 3535 23 the the DT 39713 3535 24 others other NNS 39713 3535 25 , , , 39713 3535 26 changes change NNS 39713 3535 27 of of IN 39713 3535 28 state state NN 39713 3535 29 . . . 39713 3536 1 Think think VB 39713 3536 2 , , , 39713 3536 3 for for IN 39713 3536 4 example example NN 39713 3536 5 , , , 39713 3536 6 of of IN 39713 3536 7 a a DT 39713 3536 8 sphere sphere NN 39713 3536 9 with with IN 39713 3536 10 one one CD 39713 3536 11 hemisphere hemisphere NN 39713 3536 12 blue blue JJ 39713 3536 13 and and CC 39713 3536 14 the the DT 39713 3536 15 other other JJ 39713 3536 16 red red NN 39713 3536 17 ; ; : 39713 3536 18 it -PRON- PRP 39713 3536 19 first first RB 39713 3536 20 presents present VBZ 39713 3536 21 to to IN 39713 3536 22 us -PRON- PRP 39713 3536 23 the the DT 39713 3536 24 blue blue JJ 39713 3536 25 hemisphere hemisphere NN 39713 3536 26 , , , 39713 3536 27 then then RB 39713 3536 28 it -PRON- PRP 39713 3536 29 so so RB 39713 3536 30 revolves revolve VBZ 39713 3536 31 as as IN 39713 3536 32 to to TO 39713 3536 33 present present VB 39713 3536 34 the the DT 39713 3536 35 red red JJ 39713 3536 36 hemisphere hemisphere NN 39713 3536 37 . . . 39713 3537 1 Now now RB 39713 3537 2 think think VB 39713 3537 3 of of IN 39713 3537 4 a a DT 39713 3537 5 spherical spherical JJ 39713 3537 6 vase vase NN 39713 3537 7 containing contain VBG 39713 3537 8 a a DT 39713 3537 9 blue blue JJ 39713 3537 10 liquid liquid NN 39713 3537 11 which which WDT 39713 3537 12 becomes become VBZ 39713 3537 13 red red JJ 39713 3537 14 in in IN 39713 3537 15 consequence consequence NN 39713 3537 16 of of IN 39713 3537 17 a a DT 39713 3537 18 chemical chemical JJ 39713 3537 19 reaction reaction NN 39713 3537 20 . . . 39713 3538 1 In in IN 39713 3538 2 both both DT 39713 3538 3 cases case NNS 39713 3538 4 the the DT 39713 3538 5 sensation sensation NN 39713 3538 6 of of IN 39713 3538 7 red red NNP 39713 3538 8 has have VBZ 39713 3538 9 replaced replace VBN 39713 3538 10 that that DT 39713 3538 11 of of IN 39713 3538 12 blue blue JJ 39713 3538 13 ; ; : 39713 3538 14 our -PRON- PRP$ 39713 3538 15 senses sense NNS 39713 3538 16 have have VBP 39713 3538 17 experienced experience VBN 39713 3538 18 the the DT 39713 3538 19 same same JJ 39713 3538 20 impressions impression NNS 39713 3538 21 which which WDT 39713 3538 22 have have VBP 39713 3538 23 succeeded succeed VBN 39713 3538 24 each each DT 39713 3538 25 other other JJ 39713 3538 26 in in IN 39713 3538 27 the the DT 39713 3538 28 same same JJ 39713 3538 29 order order NN 39713 3538 30 , , , 39713 3538 31 and and CC 39713 3538 32 yet yet RB 39713 3538 33 these these DT 39713 3538 34 two two CD 39713 3538 35 changes change NNS 39713 3538 36 are be VBP 39713 3538 37 regarded regard VBN 39713 3538 38 by by IN 39713 3538 39 us -PRON- PRP 39713 3538 40 as as IN 39713 3538 41 very very RB 39713 3538 42 different different JJ 39713 3538 43 ; ; : 39713 3538 44 the the DT 39713 3538 45 first first JJ 39713 3538 46 is be VBZ 39713 3538 47 a a DT 39713 3538 48 displacement displacement NN 39713 3538 49 , , , 39713 3538 50 the the DT 39713 3538 51 second second JJ 39713 3538 52 a a DT 39713 3538 53 change change NN 39713 3538 54 of of IN 39713 3538 55 state state NN 39713 3538 56 . . . 39713 3539 1 Why why WRB 39713 3539 2 ? ? . 39713 3540 1 Because because IN 39713 3540 2 in in IN 39713 3540 3 the the DT 39713 3540 4 first first JJ 39713 3540 5 case case NN 39713 3540 6 it -PRON- PRP 39713 3540 7 is be VBZ 39713 3540 8 sufficient sufficient JJ 39713 3540 9 for for IN 39713 3540 10 me -PRON- PRP 39713 3540 11 to to TO 39713 3540 12 go go VB 39713 3540 13 around around IN 39713 3540 14 the the DT 39713 3540 15 sphere sphere NN 39713 3540 16 to to TO 39713 3540 17 place place VB 39713 3540 18 myself -PRON- PRP 39713 3540 19 opposite opposite IN 39713 3540 20 the the DT 39713 3540 21 blue blue JJ 39713 3540 22 hemisphere hemisphere NN 39713 3540 23 and and CC 39713 3540 24 reestablish reestablish VB 39713 3540 25 the the DT 39713 3540 26 original original JJ 39713 3540 27 blue blue JJ 39713 3540 28 sensation sensation NN 39713 3540 29 . . . 39713 3541 1 Still still RB 39713 3541 2 more more JJR 39713 3541 3 ; ; : 39713 3541 4 if if IN 39713 3541 5 the the DT 39713 3541 6 two two CD 39713 3541 7 hemispheres hemisphere NNS 39713 3541 8 , , , 39713 3541 9 in in IN 39713 3541 10 place place NN 39713 3541 11 of of IN 39713 3541 12 being be VBG 39713 3541 13 red red JJ 39713 3541 14 and and CC 39713 3541 15 blue blue JJ 39713 3541 16 , , , 39713 3541 17 had have VBD 39713 3541 18 been be VBN 39713 3541 19 yellow yellow JJ 39713 3541 20 and and CC 39713 3541 21 green green JJ 39713 3541 22 , , , 39713 3541 23 how how WRB 39713 3541 24 should should MD 39713 3541 25 I -PRON- PRP 39713 3541 26 have have VB 39713 3541 27 interpreted interpret VBN 39713 3541 28 the the DT 39713 3541 29 revolution revolution NN 39713 3541 30 of of IN 39713 3541 31 the the DT 39713 3541 32 sphere sphere NN 39713 3541 33 ? ? . 39713 3542 1 Before before IN 39713 3542 2 , , , 39713 3542 3 the the DT 39713 3542 4 red red NN 39713 3542 5 succeeded succeed VBD 39713 3542 6 the the DT 39713 3542 7 blue blue NN 39713 3542 8 , , , 39713 3542 9 now now RB 39713 3542 10 the the DT 39713 3542 11 green green NN 39713 3542 12 succeeds succeed VBZ 39713 3542 13 the the DT 39713 3542 14 yellow yellow NN 39713 3542 15 ; ; : 39713 3542 16 and and CC 39713 3542 17 yet yet RB 39713 3542 18 I -PRON- PRP 39713 3542 19 say say VBP 39713 3542 20 that that IN 39713 3542 21 the the DT 39713 3542 22 two two CD 39713 3542 23 spheres sphere NNS 39713 3542 24 have have VBP 39713 3542 25 undergone undergo VBN 39713 3542 26 the the DT 39713 3542 27 same same JJ 39713 3542 28 revolution revolution NN 39713 3542 29 , , , 39713 3542 30 that that IN 39713 3542 31 each each DT 39713 3542 32 has have VBZ 39713 3542 33 turned turn VBN 39713 3542 34 about about RP 39713 3542 35 its -PRON- PRP$ 39713 3542 36 axis axi NNS 39713 3542 37 ; ; : 39713 3542 38 yet yet CC 39713 3542 39 I -PRON- PRP 39713 3542 40 can can MD 39713 3542 41 not not RB 39713 3542 42 say say VB 39713 3542 43 that that IN 39713 3542 44 the the DT 39713 3542 45 green green NN 39713 3542 46 is be VBZ 39713 3542 47 to to TO 39713 3542 48 yellow yellow VB 39713 3542 49 as as IN 39713 3542 50 the the DT 39713 3542 51 red red NN 39713 3542 52 is be VBZ 39713 3542 53 to to IN 39713 3542 54 blue blue NNP 39713 3542 55 ; ; : 39713 3542 56 how how WRB 39713 3542 57 then then RB 39713 3542 58 am be VBP 39713 3542 59 I -PRON- PRP 39713 3542 60 led lead VBN 39713 3542 61 to to TO 39713 3542 62 decide decide VB 39713 3542 63 that that IN 39713 3542 64 the the DT 39713 3542 65 two two CD 39713 3542 66 spheres sphere NNS 39713 3542 67 have have VBP 39713 3542 68 undergone undergo VBN 39713 3542 69 the the DT 39713 3542 70 _ _ NNP 39713 3542 71 same same JJ 39713 3542 72 _ _ NNP 39713 3542 73 displacement displacement NN 39713 3542 74 ? ? . 39713 3543 1 Evidently evidently RB 39713 3543 2 because because IN 39713 3543 3 , , , 39713 3543 4 in in IN 39713 3543 5 one one CD 39713 3543 6 case case NN 39713 3543 7 as as IN 39713 3543 8 in in IN 39713 3543 9 the the DT 39713 3543 10 other other JJ 39713 3543 11 , , , 39713 3543 12 I -PRON- PRP 39713 3543 13 am be VBP 39713 3543 14 able able JJ 39713 3543 15 to to TO 39713 3543 16 reestablish reestablish VB 39713 3543 17 the the DT 39713 3543 18 original original JJ 39713 3543 19 sensation sensation NN 39713 3543 20 by by IN 39713 3543 21 going go VBG 39713 3543 22 around around IN 39713 3543 23 the the DT 39713 3543 24 sphere sphere NN 39713 3543 25 , , , 39713 3543 26 by by IN 39713 3543 27 making make VBG 39713 3543 28 the the DT 39713 3543 29 same same JJ 39713 3543 30 movements movement NNS 39713 3543 31 , , , 39713 3543 32 and and CC 39713 3543 33 I -PRON- PRP 39713 3543 34 know know VBP 39713 3543 35 that that IN 39713 3543 36 I -PRON- PRP 39713 3543 37 have have VBP 39713 3543 38 made make VBN 39713 3543 39 the the DT 39713 3543 40 same same JJ 39713 3543 41 movements movement NNS 39713 3543 42 because because IN 39713 3543 43 I -PRON- PRP 39713 3543 44 have have VBP 39713 3543 45 felt feel VBN 39713 3543 46 the the DT 39713 3543 47 same same JJ 39713 3543 48 muscular muscular JJ 39713 3543 49 sensations sensation NNS 39713 3543 50 ; ; : 39713 3543 51 to to TO 39713 3543 52 know know VB 39713 3543 53 it -PRON- PRP 39713 3543 54 , , , 39713 3543 55 I -PRON- PRP 39713 3543 56 do do VBP 39713 3543 57 not not RB 39713 3543 58 need need VB 39713 3543 59 , , , 39713 3543 60 therefore therefore RB 39713 3543 61 , , , 39713 3543 62 to to TO 39713 3543 63 know know VB 39713 3543 64 geometry geometry NN 39713 3543 65 in in IN 39713 3543 66 advance advance NN 39713 3543 67 and and CC 39713 3543 68 to to TO 39713 3543 69 represent represent VB 39713 3543 70 to to IN 39713 3543 71 myself -PRON- PRP 39713 3543 72 the the DT 39713 3543 73 movements movement NNS 39713 3543 74 of of IN 39713 3543 75 my -PRON- PRP$ 39713 3543 76 body body NN 39713 3543 77 in in IN 39713 3543 78 geometric geometric JJ 39713 3543 79 space space NN 39713 3543 80 . . . 39713 3544 1 Another another DT 39713 3544 2 example example NN 39713 3544 3 : : : 39713 3544 4 An an DT 39713 3544 5 object object NN 39713 3544 6 is be VBZ 39713 3544 7 displaced displace VBN 39713 3544 8 before before IN 39713 3544 9 my -PRON- PRP$ 39713 3544 10 eye eye NN 39713 3544 11 ; ; : 39713 3544 12 its -PRON- PRP$ 39713 3544 13 image image NN 39713 3544 14 was be VBD 39713 3544 15 first first RB 39713 3544 16 formed form VBN 39713 3544 17 at at IN 39713 3544 18 the the DT 39713 3544 19 center center NN 39713 3544 20 of of IN 39713 3544 21 the the DT 39713 3544 22 retina retina NNP 39713 3544 23 ; ; : 39713 3544 24 then then RB 39713 3544 25 it -PRON- PRP 39713 3544 26 is be VBZ 39713 3544 27 formed form VBN 39713 3544 28 at at IN 39713 3544 29 the the DT 39713 3544 30 border border NN 39713 3544 31 ; ; : 39713 3544 32 the the DT 39713 3544 33 old old JJ 39713 3544 34 sensation sensation NN 39713 3544 35 was be VBD 39713 3544 36 carried carry VBN 39713 3544 37 to to IN 39713 3544 38 me -PRON- PRP 39713 3544 39 by by IN 39713 3544 40 a a DT 39713 3544 41 nerve nerve NN 39713 3544 42 fiber fiber NN 39713 3544 43 ending end VBG 39713 3544 44 at at IN 39713 3544 45 the the DT 39713 3544 46 center center NN 39713 3544 47 of of IN 39713 3544 48 the the DT 39713 3544 49 retina retina NNP 39713 3544 50 ; ; : 39713 3544 51 the the DT 39713 3544 52 new new JJ 39713 3544 53 sensation sensation NN 39713 3544 54 is be VBZ 39713 3544 55 carried carry VBN 39713 3544 56 to to IN 39713 3544 57 me -PRON- PRP 39713 3544 58 by by IN 39713 3544 59 _ _ NNP 39713 3544 60 another another DT 39713 3544 61 _ _ NNP 39713 3544 62 nerve nerve NN 39713 3544 63 fiber fiber NN 39713 3544 64 starting start VBG 39713 3544 65 from from IN 39713 3544 66 the the DT 39713 3544 67 border border NN 39713 3544 68 of of IN 39713 3544 69 the the DT 39713 3544 70 retina retina NNP 39713 3544 71 ; ; : 39713 3544 72 these these DT 39713 3544 73 two two CD 39713 3544 74 sensations sensation NNS 39713 3544 75 are be VBP 39713 3544 76 qualitatively qualitatively RB 39713 3544 77 different different JJ 39713 3544 78 ; ; : 39713 3544 79 otherwise otherwise RB 39713 3544 80 , , , 39713 3544 81 how how WRB 39713 3544 82 could could MD 39713 3544 83 I -PRON- PRP 39713 3544 84 distinguish distinguish VB 39713 3544 85 them -PRON- PRP 39713 3544 86 ? ? . 39713 3545 1 Why why WRB 39713 3545 2 then then RB 39713 3545 3 am be VBP 39713 3545 4 I -PRON- PRP 39713 3545 5 led lead VBN 39713 3545 6 to to TO 39713 3545 7 decide decide VB 39713 3545 8 that that IN 39713 3545 9 these these DT 39713 3545 10 two two CD 39713 3545 11 sensations sensation NNS 39713 3545 12 , , , 39713 3545 13 qualitatively qualitatively RB 39713 3545 14 different different JJ 39713 3545 15 , , , 39713 3545 16 represent represent VB 39713 3545 17 the the DT 39713 3545 18 same same JJ 39713 3545 19 image image NN 39713 3545 20 , , , 39713 3545 21 which which WDT 39713 3545 22 has have VBZ 39713 3545 23 been be VBN 39713 3545 24 displaced displace VBN 39713 3545 25 ? ? . 39713 3546 1 It -PRON- PRP 39713 3546 2 is be VBZ 39713 3546 3 because because IN 39713 3546 4 I -PRON- PRP 39713 3546 5 _ _ NNP 39713 3546 6 can can MD 39713 3546 7 follow follow VB 39713 3546 8 the the DT 39713 3546 9 object object NN 39713 3546 10 with with IN 39713 3546 11 the the DT 39713 3546 12 eye eye NN 39713 3546 13 _ _ NNP 39713 3546 14 and and CC 39713 3546 15 by by IN 39713 3546 16 a a DT 39713 3546 17 displacement displacement NN 39713 3546 18 of of IN 39713 3546 19 the the DT 39713 3546 20 eye eye NN 39713 3546 21 , , , 39713 3546 22 voluntary voluntary JJ 39713 3546 23 and and CC 39713 3546 24 accompanied accompany VBN 39713 3546 25 by by IN 39713 3546 26 muscular muscular JJ 39713 3546 27 sensations sensation NNS 39713 3546 28 , , , 39713 3546 29 bring bring VB 39713 3546 30 back back RB 39713 3546 31 the the DT 39713 3546 32 image image NN 39713 3546 33 to to IN 39713 3546 34 the the DT 39713 3546 35 center center NN 39713 3546 36 of of IN 39713 3546 37 the the DT 39713 3546 38 retina retina NNP 39713 3546 39 and and CC 39713 3546 40 reestablish reestablish VB 39713 3546 41 the the DT 39713 3546 42 primitive primitive JJ 39713 3546 43 sensation sensation NN 39713 3546 44 . . . 39713 3547 1 I -PRON- PRP 39713 3547 2 suppose suppose VBP 39713 3547 3 that that IN 39713 3547 4 the the DT 39713 3547 5 image image NN 39713 3547 6 of of IN 39713 3547 7 a a DT 39713 3547 8 red red JJ 39713 3547 9 object object NN 39713 3547 10 has have VBZ 39713 3547 11 gone go VBN 39713 3547 12 from from IN 39713 3547 13 the the DT 39713 3547 14 center center NN 39713 3547 15 _ _ NNP 39713 3547 16 A A NNP 39713 3547 17 _ _ NNP 39713 3547 18 to to IN 39713 3547 19 the the DT 39713 3547 20 border border NN 39713 3547 21 _ _ NNP 39713 3547 22 B B NNP 39713 3547 23 _ _ NNP 39713 3547 24 of of IN 39713 3547 25 the the DT 39713 3547 26 retina retina NNP 39713 3547 27 , , , 39713 3547 28 then then RB 39713 3547 29 that that IN 39713 3547 30 the the DT 39713 3547 31 image image NN 39713 3547 32 of of IN 39713 3547 33 a a DT 39713 3547 34 blue blue JJ 39713 3547 35 object object NN 39713 3547 36 goes go VBZ 39713 3547 37 in in IN 39713 3547 38 its -PRON- PRP$ 39713 3547 39 turn turn NN 39713 3547 40 from from IN 39713 3547 41 the the DT 39713 3547 42 center center NN 39713 3547 43 _ _ NNP 39713 3547 44 A A NNP 39713 3547 45 _ _ NNP 39713 3547 46 to to IN 39713 3547 47 the the DT 39713 3547 48 border border NN 39713 3547 49 _ _ NNP 39713 3547 50 B B NNP 39713 3547 51 _ _ NNP 39713 3547 52 of of IN 39713 3547 53 the the DT 39713 3547 54 retina retina NN 39713 3547 55 ; ; : 39713 3547 56 I -PRON- PRP 39713 3547 57 shall shall MD 39713 3547 58 decide decide VB 39713 3547 59 that that IN 39713 3547 60 these these DT 39713 3547 61 two two CD 39713 3547 62 objects object NNS 39713 3547 63 have have VBP 39713 3547 64 undergone undergo VBN 39713 3547 65 the the DT 39713 3547 66 _ _ NNP 39713 3547 67 same same JJ 39713 3547 68 _ _ NNP 39713 3547 69 displacement displacement NN 39713 3547 70 . . . 39713 3548 1 Why why WRB 39713 3548 2 ? ? . 39713 3549 1 Because because IN 39713 3549 2 in in IN 39713 3549 3 both both DT 39713 3549 4 cases case NNS 39713 3549 5 I -PRON- PRP 39713 3549 6 shall shall MD 39713 3549 7 have have VB 39713 3549 8 been be VBN 39713 3549 9 able able JJ 39713 3549 10 to to TO 39713 3549 11 reestablish reestablish VB 39713 3549 12 the the DT 39713 3549 13 primitive primitive JJ 39713 3549 14 sensation sensation NN 39713 3549 15 , , , 39713 3549 16 and and CC 39713 3549 17 that that DT 39713 3549 18 to to TO 39713 3549 19 do do VB 39713 3549 20 it -PRON- PRP 39713 3549 21 I -PRON- PRP 39713 3549 22 shall shall MD 39713 3549 23 have have VB 39713 3549 24 had have VBN 39713 3549 25 to to TO 39713 3549 26 execute execute VB 39713 3549 27 the the DT 39713 3549 28 _ _ NNP 39713 3549 29 same same JJ 39713 3549 30 _ _ NNP 39713 3549 31 movement movement NN 39713 3549 32 of of IN 39713 3549 33 the the DT 39713 3549 34 eye eye NN 39713 3549 35 , , , 39713 3549 36 and and CC 39713 3549 37 I -PRON- PRP 39713 3549 38 shall shall MD 39713 3549 39 know know VB 39713 3549 40 that that IN 39713 3549 41 my -PRON- PRP$ 39713 3549 42 eye eye NN 39713 3549 43 has have VBZ 39713 3549 44 executed execute VBN 39713 3549 45 the the DT 39713 3549 46 same same JJ 39713 3549 47 movement movement NN 39713 3549 48 because because IN 39713 3549 49 I -PRON- PRP 39713 3549 50 shall shall MD 39713 3549 51 have have VB 39713 3549 52 felt feel VBN 39713 3549 53 the the DT 39713 3549 54 _ _ NNP 39713 3549 55 same same JJ 39713 3549 56 _ _ NNP 39713 3549 57 muscular muscular JJ 39713 3549 58 sensations sensation NNS 39713 3549 59 . . . 39713 3550 1 If if IN 39713 3550 2 I -PRON- PRP 39713 3550 3 could could MD 39713 3550 4 not not RB 39713 3550 5 move move VB 39713 3550 6 my -PRON- PRP$ 39713 3550 7 eye eye NN 39713 3550 8 , , , 39713 3550 9 should should MD 39713 3550 10 I -PRON- PRP 39713 3550 11 have have VB 39713 3550 12 any any DT 39713 3550 13 reason reason NN 39713 3550 14 to to TO 39713 3550 15 suppose suppose VB 39713 3550 16 that that IN 39713 3550 17 the the DT 39713 3550 18 sensation sensation NN 39713 3550 19 of of IN 39713 3550 20 red red NNP 39713 3550 21 at at IN 39713 3550 22 the the DT 39713 3550 23 center center NN 39713 3550 24 of of IN 39713 3550 25 the the DT 39713 3550 26 retina retina NNP 39713 3550 27 is be VBZ 39713 3550 28 to to IN 39713 3550 29 the the DT 39713 3550 30 sensation sensation NN 39713 3550 31 of of IN 39713 3550 32 red red NNP 39713 3550 33 at at IN 39713 3550 34 the the DT 39713 3550 35 border border NN 39713 3550 36 of of IN 39713 3550 37 the the DT 39713 3550 38 retina retina NNP 39713 3550 39 as as IN 39713 3550 40 that that DT 39713 3550 41 of of IN 39713 3550 42 blue blue JJ 39713 3550 43 at at IN 39713 3550 44 the the DT 39713 3550 45 center center NN 39713 3550 46 is be VBZ 39713 3550 47 to to IN 39713 3550 48 that that DT 39713 3550 49 of of IN 39713 3550 50 blue blue JJ 39713 3550 51 at at IN 39713 3550 52 the the DT 39713 3550 53 border border NN 39713 3550 54 ? ? . 39713 3551 1 I -PRON- PRP 39713 3551 2 should should MD 39713 3551 3 only only RB 39713 3551 4 have have VB 39713 3551 5 four four CD 39713 3551 6 sensations sensation NNS 39713 3551 7 qualitatively qualitatively RB 39713 3551 8 different different JJ 39713 3551 9 , , , 39713 3551 10 and and CC 39713 3551 11 if if IN 39713 3551 12 I -PRON- PRP 39713 3551 13 were be VBD 39713 3551 14 asked ask VBN 39713 3551 15 if if IN 39713 3551 16 they -PRON- PRP 39713 3551 17 are be VBP 39713 3551 18 connected connect VBN 39713 3551 19 by by IN 39713 3551 20 the the DT 39713 3551 21 proportion proportion NN 39713 3551 22 I -PRON- PRP 39713 3551 23 have have VBP 39713 3551 24 just just RB 39713 3551 25 stated state VBN 39713 3551 26 , , , 39713 3551 27 the the DT 39713 3551 28 question question NN 39713 3551 29 would would MD 39713 3551 30 seem seem VB 39713 3551 31 to to IN 39713 3551 32 me -PRON- PRP 39713 3551 33 ridiculous ridiculous JJ 39713 3551 34 , , , 39713 3551 35 just just RB 39713 3551 36 as as IN 39713 3551 37 if if IN 39713 3551 38 I -PRON- PRP 39713 3551 39 were be VBD 39713 3551 40 asked ask VBN 39713 3551 41 if if IN 39713 3551 42 there there EX 39713 3551 43 is be VBZ 39713 3551 44 an an DT 39713 3551 45 analogous analogous JJ 39713 3551 46 proportion proportion NN 39713 3551 47 between between IN 39713 3551 48 an an DT 39713 3551 49 auditory auditory JJ 39713 3551 50 sensation sensation NN 39713 3551 51 , , , 39713 3551 52 a a DT 39713 3551 53 tactile tactile NN 39713 3551 54 sensation sensation NN 39713 3551 55 and and CC 39713 3551 56 an an DT 39713 3551 57 olfactory olfactory JJ 39713 3551 58 sensation sensation NN 39713 3551 59 . . . 39713 3552 1 Let let VB 39713 3552 2 us -PRON- PRP 39713 3552 3 now now RB 39713 3552 4 consider consider VB 39713 3552 5 the the DT 39713 3552 6 internal internal JJ 39713 3552 7 changes change NNS 39713 3552 8 , , , 39713 3552 9 that that RB 39713 3552 10 is is RB 39713 3552 11 , , , 39713 3552 12 those those DT 39713 3552 13 which which WDT 39713 3552 14 are be VBP 39713 3552 15 produced produce VBN 39713 3552 16 by by IN 39713 3552 17 the the DT 39713 3552 18 voluntary voluntary JJ 39713 3552 19 movements movement NNS 39713 3552 20 of of IN 39713 3552 21 our -PRON- PRP$ 39713 3552 22 body body NN 39713 3552 23 and and CC 39713 3552 24 which which WDT 39713 3552 25 are be VBP 39713 3552 26 accompanied accompany VBN 39713 3552 27 by by IN 39713 3552 28 muscular muscular JJ 39713 3552 29 changes change NNS 39713 3552 30 . . . 39713 3553 1 They -PRON- PRP 39713 3553 2 give give VBP 39713 3553 3 rise rise NN 39713 3553 4 to to IN 39713 3553 5 the the DT 39713 3553 6 two two CD 39713 3553 7 following follow VBG 39713 3553 8 observations observation NNS 39713 3553 9 , , , 39713 3553 10 analogous analogous JJ 39713 3553 11 to to IN 39713 3553 12 those those DT 39713 3553 13 we -PRON- PRP 39713 3553 14 have have VBP 39713 3553 15 just just RB 39713 3553 16 made make VBN 39713 3553 17 on on IN 39713 3553 18 the the DT 39713 3553 19 subject subject NN 39713 3553 20 of of IN 39713 3553 21 external external JJ 39713 3553 22 changes change NNS 39713 3553 23 . . . 39713 3554 1 1 1 LS 39713 3554 2 . . . 39713 3555 1 I -PRON- PRP 39713 3555 2 may may MD 39713 3555 3 suppose suppose VB 39713 3555 4 that that IN 39713 3555 5 my -PRON- PRP$ 39713 3555 6 body body NN 39713 3555 7 has have VBZ 39713 3555 8 moved move VBN 39713 3555 9 from from IN 39713 3555 10 one one CD 39713 3555 11 point point NN 39713 3555 12 to to IN 39713 3555 13 another another DT 39713 3555 14 , , , 39713 3555 15 but but CC 39713 3555 16 that that IN 39713 3555 17 the the DT 39713 3555 18 same same JJ 39713 3555 19 _ _ NNP 39713 3555 20 attitude attitude NN 39713 3555 21 _ _ NNP 39713 3555 22 is be VBZ 39713 3555 23 retained retain VBN 39713 3555 24 ; ; : 39713 3555 25 all all PDT 39713 3555 26 the the DT 39713 3555 27 parts part NNS 39713 3555 28 of of IN 39713 3555 29 the the DT 39713 3555 30 body body NN 39713 3555 31 have have VBP 39713 3555 32 therefore therefore RB 39713 3555 33 retained retain VBN 39713 3555 34 or or CC 39713 3555 35 resumed resume VBD 39713 3555 36 the the DT 39713 3555 37 same same JJ 39713 3555 38 _ _ NNP 39713 3555 39 relative relative JJ 39713 3555 40 _ _ NNP 39713 3555 41 situation situation NN 39713 3555 42 , , , 39713 3555 43 although although IN 39713 3555 44 their -PRON- PRP$ 39713 3555 45 absolute absolute JJ 39713 3555 46 situation situation NN 39713 3555 47 in in IN 39713 3555 48 space space NN 39713 3555 49 may may MD 39713 3555 50 have have VB 39713 3555 51 varied vary VBN 39713 3555 52 . . . 39713 3556 1 I -PRON- PRP 39713 3556 2 may may MD 39713 3556 3 suppose suppose VB 39713 3556 4 that that IN 39713 3556 5 not not RB 39713 3556 6 only only RB 39713 3556 7 has have VBZ 39713 3556 8 the the DT 39713 3556 9 position position NN 39713 3556 10 of of IN 39713 3556 11 my -PRON- PRP$ 39713 3556 12 body body NN 39713 3556 13 changed change VBD 39713 3556 14 , , , 39713 3556 15 but but CC 39713 3556 16 that that IN 39713 3556 17 its -PRON- PRP$ 39713 3556 18 attitude attitude NN 39713 3556 19 is be VBZ 39713 3556 20 no no RB 39713 3556 21 longer long RBR 39713 3556 22 the the DT 39713 3556 23 same same JJ 39713 3556 24 , , , 39713 3556 25 that that IN 39713 3556 26 , , , 39713 3556 27 for for IN 39713 3556 28 instance instance NN 39713 3556 29 , , , 39713 3556 30 my -PRON- PRP$ 39713 3556 31 arms arm NNS 39713 3556 32 which which WDT 39713 3556 33 before before RB 39713 3556 34 were be VBD 39713 3556 35 folded fold VBN 39713 3556 36 are be VBP 39713 3556 37 now now RB 39713 3556 38 stretched stretch VBN 39713 3556 39 out out RP 39713 3556 40 . . . 39713 3557 1 I -PRON- PRP 39713 3557 2 should should MD 39713 3557 3 therefore therefore RB 39713 3557 4 distinguish distinguish VB 39713 3557 5 the the DT 39713 3557 6 simple simple JJ 39713 3557 7 changes change NNS 39713 3557 8 of of IN 39713 3557 9 position position NN 39713 3557 10 without without IN 39713 3557 11 change change NN 39713 3557 12 of of IN 39713 3557 13 attitude attitude NN 39713 3557 14 , , , 39713 3557 15 and and CC 39713 3557 16 the the DT 39713 3557 17 changes change NNS 39713 3557 18 of of IN 39713 3557 19 attitude attitude NN 39713 3557 20 . . . 39713 3558 1 Both both DT 39713 3558 2 would would MD 39713 3558 3 appear appear VB 39713 3558 4 to to IN 39713 3558 5 me -PRON- PRP 39713 3558 6 under under IN 39713 3558 7 form form NN 39713 3558 8 of of IN 39713 3558 9 muscular muscular JJ 39713 3558 10 sensations sensation NNS 39713 3558 11 . . . 39713 3559 1 How how WRB 39713 3559 2 then then RB 39713 3559 3 am be VBP 39713 3559 4 I -PRON- PRP 39713 3559 5 led lead VBN 39713 3559 6 to to TO 39713 3559 7 distinguish distinguish VB 39713 3559 8 them -PRON- PRP 39713 3559 9 ? ? . 39713 3560 1 It -PRON- PRP 39713 3560 2 is be VBZ 39713 3560 3 that that IN 39713 3560 4 the the DT 39713 3560 5 first first JJ 39713 3560 6 may may MD 39713 3560 7 serve serve VB 39713 3560 8 to to TO 39713 3560 9 correct correct VB 39713 3560 10 an an DT 39713 3560 11 external external JJ 39713 3560 12 change change NN 39713 3560 13 , , , 39713 3560 14 and and CC 39713 3560 15 that that IN 39713 3560 16 the the DT 39713 3560 17 others other NNS 39713 3560 18 can can MD 39713 3560 19 not not RB 39713 3560 20 , , , 39713 3560 21 or or CC 39713 3560 22 at at IN 39713 3560 23 least least JJS 39713 3560 24 can can MD 39713 3560 25 only only RB 39713 3560 26 give give VB 39713 3560 27 an an DT 39713 3560 28 imperfect imperfect JJ 39713 3560 29 correction correction NN 39713 3560 30 . . . 39713 3561 1 This this DT 39713 3561 2 fact fact NN 39713 3561 3 I -PRON- PRP 39713 3561 4 proceed proceed VBP 39713 3561 5 to to TO 39713 3561 6 explain explain VB 39713 3561 7 as as IN 39713 3561 8 I -PRON- PRP 39713 3561 9 would would MD 39713 3561 10 explain explain VB 39713 3561 11 it -PRON- PRP 39713 3561 12 to to IN 39713 3561 13 some some DT 39713 3561 14 one one NN 39713 3561 15 who who WP 39713 3561 16 already already RB 39713 3561 17 knew know VBD 39713 3561 18 geometry geometry NN 39713 3561 19 , , , 39713 3561 20 but but CC 39713 3561 21 it -PRON- PRP 39713 3561 22 need nee MD 39713 3561 23 not not RB 39713 3561 24 thence thence NN 39713 3561 25 be be VB 39713 3561 26 concluded conclude VBN 39713 3561 27 that that IN 39713 3561 28 it -PRON- PRP 39713 3561 29 is be VBZ 39713 3561 30 necessary necessary JJ 39713 3561 31 already already RB 39713 3561 32 to to TO 39713 3561 33 know know VB 39713 3561 34 geometry geometry NN 39713 3561 35 to to TO 39713 3561 36 make make VB 39713 3561 37 this this DT 39713 3561 38 distinction distinction NN 39713 3561 39 ; ; : 39713 3561 40 before before IN 39713 3561 41 knowing know VBG 39713 3561 42 geometry geometry NN 39713 3561 43 I -PRON- PRP 39713 3561 44 ascertain ascertain VBP 39713 3561 45 the the DT 39713 3561 46 fact fact NN 39713 3561 47 ( ( -LRB- 39713 3561 48 experimentally experimentally RB 39713 3561 49 , , , 39713 3561 50 so so RB 39713 3561 51 to to TO 39713 3561 52 speak speak VB 39713 3561 53 ) ) -RRB- 39713 3561 54 , , , 39713 3561 55 without without IN 39713 3561 56 being be VBG 39713 3561 57 able able JJ 39713 3561 58 to to TO 39713 3561 59 explain explain VB 39713 3561 60 it -PRON- PRP 39713 3561 61 . . . 39713 3562 1 But but CC 39713 3562 2 merely merely RB 39713 3562 3 to to TO 39713 3562 4 make make VB 39713 3562 5 the the DT 39713 3562 6 distinction distinction NN 39713 3562 7 between between IN 39713 3562 8 the the DT 39713 3562 9 two two CD 39713 3562 10 kinds kind NNS 39713 3562 11 of of IN 39713 3562 12 change change NN 39713 3562 13 , , , 39713 3562 14 I -PRON- PRP 39713 3562 15 do do VBP 39713 3562 16 not not RB 39713 3562 17 need need VB 39713 3562 18 to to TO 39713 3562 19 _ _ NNP 39713 3562 20 explain explain VB 39713 3562 21 _ _ NNP 39713 3562 22 the the DT 39713 3562 23 fact fact NN 39713 3562 24 , , , 39713 3562 25 it -PRON- PRP 39713 3562 26 suffices suffice VBZ 39713 3562 27 me -PRON- PRP 39713 3562 28 _ _ NNP 39713 3562 29 to to TO 39713 3562 30 ascertain ascertain VB 39713 3562 31 _ _ NNP 39713 3562 32 it -PRON- PRP 39713 3562 33 . . . 39713 3563 1 However however RB 39713 3563 2 that that DT 39713 3563 3 may may MD 39713 3563 4 be be VB 39713 3563 5 , , , 39713 3563 6 the the DT 39713 3563 7 explanation explanation NN 39713 3563 8 is be VBZ 39713 3563 9 easy easy JJ 39713 3563 10 . . . 39713 3564 1 Suppose suppose VB 39713 3564 2 that that IN 39713 3564 3 an an DT 39713 3564 4 exterior exterior JJ 39713 3564 5 object object NN 39713 3564 6 is be VBZ 39713 3564 7 displaced displace VBN 39713 3564 8 ; ; : 39713 3564 9 if if IN 39713 3564 10 we -PRON- PRP 39713 3564 11 wish wish VBP 39713 3564 12 the the DT 39713 3564 13 different different JJ 39713 3564 14 parts part NNS 39713 3564 15 of of IN 39713 3564 16 our -PRON- PRP$ 39713 3564 17 body body NN 39713 3564 18 to to TO 39713 3564 19 resume resume VB 39713 3564 20 with with IN 39713 3564 21 regard regard NN 39713 3564 22 to to IN 39713 3564 23 this this DT 39713 3564 24 object object NN 39713 3564 25 their -PRON- PRP$ 39713 3564 26 initial initial JJ 39713 3564 27 relative relative JJ 39713 3564 28 position position NN 39713 3564 29 , , , 39713 3564 30 it -PRON- PRP 39713 3564 31 is be VBZ 39713 3564 32 necessary necessary JJ 39713 3564 33 that that IN 39713 3564 34 these these DT 39713 3564 35 different different JJ 39713 3564 36 parts part NNS 39713 3564 37 should should MD 39713 3564 38 have have VB 39713 3564 39 resumed resume VBN 39713 3564 40 likewise likewise RB 39713 3564 41 their -PRON- PRP$ 39713 3564 42 initial initial JJ 39713 3564 43 relative relative JJ 39713 3564 44 position position NN 39713 3564 45 with with IN 39713 3564 46 regard regard NN 39713 3564 47 to to IN 39713 3564 48 one one CD 39713 3564 49 another another DT 39713 3564 50 . . . 39713 3565 1 Only only RB 39713 3565 2 the the DT 39713 3565 3 internal internal JJ 39713 3565 4 changes change NNS 39713 3565 5 which which WDT 39713 3565 6 satisfy satisfy VBP 39713 3565 7 this this DT 39713 3565 8 latter latter JJ 39713 3565 9 condition condition NN 39713 3565 10 will will MD 39713 3565 11 be be VB 39713 3565 12 capable capable JJ 39713 3565 13 of of IN 39713 3565 14 correcting correct VBG 39713 3565 15 the the DT 39713 3565 16 external external JJ 39713 3565 17 change change NN 39713 3565 18 produced produce VBN 39713 3565 19 by by IN 39713 3565 20 the the DT 39713 3565 21 displacement displacement NN 39713 3565 22 of of IN 39713 3565 23 that that DT 39713 3565 24 object object NN 39713 3565 25 . . . 39713 3566 1 If if IN 39713 3566 2 , , , 39713 3566 3 therefore therefore RB 39713 3566 4 , , , 39713 3566 5 the the DT 39713 3566 6 relative relative JJ 39713 3566 7 position position NN 39713 3566 8 of of IN 39713 3566 9 my -PRON- PRP$ 39713 3566 10 eye eye NN 39713 3566 11 with with IN 39713 3566 12 regard regard NN 39713 3566 13 to to IN 39713 3566 14 my -PRON- PRP$ 39713 3566 15 finger finger NN 39713 3566 16 has have VBZ 39713 3566 17 changed change VBN 39713 3566 18 , , , 39713 3566 19 I -PRON- PRP 39713 3566 20 shall shall MD 39713 3566 21 still still RB 39713 3566 22 be be VB 39713 3566 23 able able JJ 39713 3566 24 to to TO 39713 3566 25 replace replace VB 39713 3566 26 the the DT 39713 3566 27 eye eye NN 39713 3566 28 in in IN 39713 3566 29 its -PRON- PRP$ 39713 3566 30 initial initial JJ 39713 3566 31 relative relative JJ 39713 3566 32 situation situation NN 39713 3566 33 with with IN 39713 3566 34 regard regard NN 39713 3566 35 to to IN 39713 3566 36 the the DT 39713 3566 37 object object NN 39713 3566 38 and and CC 39713 3566 39 reestablish reestablish VB 39713 3566 40 thus thus RB 39713 3566 41 the the DT 39713 3566 42 primitive primitive JJ 39713 3566 43 visual visual JJ 39713 3566 44 sensations sensation NNS 39713 3566 45 , , , 39713 3566 46 but but CC 39713 3566 47 then then RB 39713 3566 48 the the DT 39713 3566 49 relative relative JJ 39713 3566 50 position position NN 39713 3566 51 of of IN 39713 3566 52 the the DT 39713 3566 53 finger finger NN 39713 3566 54 with with IN 39713 3566 55 regard regard NN 39713 3566 56 to to IN 39713 3566 57 the the DT 39713 3566 58 object object NN 39713 3566 59 will will MD 39713 3566 60 have have VB 39713 3566 61 changed change VBN 39713 3566 62 and and CC 39713 3566 63 the the DT 39713 3566 64 tactile tactile NN 39713 3566 65 sensations sensation NNS 39713 3566 66 will will MD 39713 3566 67 not not RB 39713 3566 68 be be VB 39713 3566 69 reestablished reestablish VBN 39713 3566 70 . . . 39713 3567 1 2 2 LS 39713 3567 2 . . . 39713 3568 1 We -PRON- PRP 39713 3568 2 ascertain ascertain VBP 39713 3568 3 likewise likewise RB 39713 3568 4 that that WDT 39713 3568 5 the the DT 39713 3568 6 same same JJ 39713 3568 7 external external JJ 39713 3568 8 change change NN 39713 3568 9 may may MD 39713 3568 10 be be VB 39713 3568 11 corrected correct VBN 39713 3568 12 by by IN 39713 3568 13 two two CD 39713 3568 14 internal internal JJ 39713 3568 15 changes change NNS 39713 3568 16 corresponding correspond VBG 39713 3568 17 to to IN 39713 3568 18 different different JJ 39713 3568 19 muscular muscular JJ 39713 3568 20 sensations sensation NNS 39713 3568 21 . . . 39713 3569 1 Here here RB 39713 3569 2 again again RB 39713 3569 3 I -PRON- PRP 39713 3569 4 can can MD 39713 3569 5 ascertain ascertain VB 39713 3569 6 this this DT 39713 3569 7 without without IN 39713 3569 8 knowing know VBG 39713 3569 9 geometry geometry NN 39713 3569 10 ; ; : 39713 3569 11 and and CC 39713 3569 12 I -PRON- PRP 39713 3569 13 have have VBP 39713 3569 14 no no DT 39713 3569 15 need need NN 39713 3569 16 of of IN 39713 3569 17 anything anything NN 39713 3569 18 else else RB 39713 3569 19 ; ; : 39713 3569 20 but but CC 39713 3569 21 I -PRON- PRP 39713 3569 22 proceed proceed VBP 39713 3569 23 to to TO 39713 3569 24 give give VB 39713 3569 25 the the DT 39713 3569 26 explanation explanation NN 39713 3569 27 of of IN 39713 3569 28 the the DT 39713 3569 29 fact fact NN 39713 3569 30 , , , 39713 3569 31 employing employ VBG 39713 3569 32 geometrical geometrical JJ 39713 3569 33 language language NN 39713 3569 34 . . . 39713 3570 1 To to TO 39713 3570 2 go go VB 39713 3570 3 from from IN 39713 3570 4 the the DT 39713 3570 5 position position NN 39713 3570 6 _ _ NNP 39713 3570 7 A A NNP 39713 3570 8 _ _ NNP 39713 3570 9 to to IN 39713 3570 10 the the DT 39713 3570 11 position position NN 39713 3570 12 _ _ NNP 39713 3570 13 B B NNP 39713 3570 14 _ _ NNP 39713 3570 15 I -PRON- PRP 39713 3570 16 may may MD 39713 3570 17 take take VB 39713 3570 18 several several JJ 39713 3570 19 routes route NNS 39713 3570 20 . . . 39713 3571 1 To to IN 39713 3571 2 the the DT 39713 3571 3 first first JJ 39713 3571 4 of of IN 39713 3571 5 these these DT 39713 3571 6 routes route NNS 39713 3571 7 will will MD 39713 3571 8 correspond correspond VB 39713 3571 9 a a DT 39713 3571 10 series series NN 39713 3571 11 _ _ NNP 39713 3571 12 S S NNP 39713 3571 13 _ _ NNP 39713 3571 14 of of IN 39713 3571 15 muscular muscular JJ 39713 3571 16 sensations sensation NNS 39713 3571 17 ; ; : 39713 3571 18 to to IN 39713 3571 19 a a DT 39713 3571 20 second second JJ 39713 3571 21 route route NN 39713 3571 22 will will MD 39713 3571 23 correspond correspond VB 39713 3571 24 another another DT 39713 3571 25 series series NN 39713 3571 26 _ _ NNP 39713 3571 27 S S NNP 39713 3571 28 ' ' '' 39713 3571 29 ' ' '' 39713 3571 30 _ _ NNP 39713 3571 31 , , , 39713 3571 32 of of IN 39713 3571 33 muscular muscular JJ 39713 3571 34 sensations sensation NNS 39713 3571 35 which which WDT 39713 3571 36 generally generally RB 39713 3571 37 will will MD 39713 3571 38 be be VB 39713 3571 39 completely completely RB 39713 3571 40 different different JJ 39713 3571 41 , , , 39713 3571 42 since since IN 39713 3571 43 other other JJ 39713 3571 44 muscles muscle NNS 39713 3571 45 will will MD 39713 3571 46 be be VB 39713 3571 47 used use VBN 39713 3571 48 . . . 39713 3572 1 How how WRB 39713 3572 2 am be VBP 39713 3572 3 I -PRON- PRP 39713 3572 4 led lead VBN 39713 3572 5 to to TO 39713 3572 6 regard regard VB 39713 3572 7 these these DT 39713 3572 8 two two CD 39713 3572 9 series series NN 39713 3572 10 _ _ NNP 39713 3572 11 S S NNP 39713 3572 12 _ _ NNP 39713 3572 13 and and CC 39713 3572 14 _ _ NNP 39713 3572 15 S S NNP 39713 3572 16 ' ' '' 39713 3572 17 ' ' '' 39713 3572 18 _ _ XX 39713 3572 19 as as IN 39713 3572 20 corresponding correspond VBG 39713 3572 21 to to IN 39713 3572 22 the the DT 39713 3572 23 same same JJ 39713 3572 24 displacement displacement NN 39713 3572 25 _ _ NNP 39713 3572 26 AB AB NNP 39713 3572 27 _ _ NNP 39713 3572 28 ? ? . 39713 3573 1 It -PRON- PRP 39713 3573 2 is be VBZ 39713 3573 3 because because IN 39713 3573 4 these these DT 39713 3573 5 two two CD 39713 3573 6 series serie NNS 39713 3573 7 are be VBP 39713 3573 8 capable capable JJ 39713 3573 9 of of IN 39713 3573 10 correcting correct VBG 39713 3573 11 the the DT 39713 3573 12 same same JJ 39713 3573 13 external external JJ 39713 3573 14 change change NN 39713 3573 15 . . . 39713 3574 1 Apart apart RB 39713 3574 2 from from IN 39713 3574 3 that that DT 39713 3574 4 , , , 39713 3574 5 they -PRON- PRP 39713 3574 6 have have VBP 39713 3574 7 nothing nothing NN 39713 3574 8 in in IN 39713 3574 9 common common JJ 39713 3574 10 . . . 39713 3575 1 Let let VB 39713 3575 2 us -PRON- PRP 39713 3575 3 now now RB 39713 3575 4 consider consider VB 39713 3575 5 two two CD 39713 3575 6 external external JJ 39713 3575 7 changes change NNS 39713 3575 8 : : : 39713 3575 9 [ [ -LRB- 39713 3575 10 alpha alpha NN 39713 3575 11 ] ] -RRB- 39713 3575 12 and and CC 39713 3575 13 [ [ -LRB- 39713 3575 14 beta beta NN 39713 3575 15 ] ] -RRB- 39713 3575 16 , , , 39713 3575 17 which which WDT 39713 3575 18 shall shall MD 39713 3575 19 be be VB 39713 3575 20 , , , 39713 3575 21 for for IN 39713 3575 22 instance instance NN 39713 3575 23 , , , 39713 3575 24 the the DT 39713 3575 25 rotation rotation NN 39713 3575 26 of of IN 39713 3575 27 a a DT 39713 3575 28 sphere sphere RB 39713 3575 29 half half NN 39713 3575 30 blue blue JJ 39713 3575 31 , , , 39713 3575 32 half half RB 39713 3575 33 red red JJ 39713 3575 34 , , , 39713 3575 35 and and CC 39713 3575 36 that that DT 39713 3575 37 of of IN 39713 3575 38 a a DT 39713 3575 39 sphere sphere RB 39713 3575 40 half half NN 39713 3575 41 yellow yellow JJ 39713 3575 42 , , , 39713 3575 43 half half RB 39713 3575 44 green green JJ 39713 3575 45 ; ; : 39713 3575 46 these these DT 39713 3575 47 two two CD 39713 3575 48 changes change NNS 39713 3575 49 have have VBP 39713 3575 50 nothing nothing NN 39713 3575 51 in in IN 39713 3575 52 common common JJ 39713 3575 53 , , , 39713 3575 54 since since IN 39713 3575 55 the the DT 39713 3575 56 one one NN 39713 3575 57 is be VBZ 39713 3575 58 for for IN 39713 3575 59 us -PRON- PRP 39713 3575 60 the the DT 39713 3575 61 passing passing NN 39713 3575 62 of of IN 39713 3575 63 blue blue JJ 39713 3575 64 into into IN 39713 3575 65 red red JJ 39713 3575 66 and and CC 39713 3575 67 the the DT 39713 3575 68 other other JJ 39713 3575 69 the the DT 39713 3575 70 passing passing NN 39713 3575 71 of of IN 39713 3575 72 yellow yellow NN 39713 3575 73 into into IN 39713 3575 74 green green NN 39713 3575 75 . . . 39713 3576 1 Consider consider VB 39713 3576 2 , , , 39713 3576 3 on on IN 39713 3576 4 the the DT 39713 3576 5 other other JJ 39713 3576 6 hand hand NN 39713 3576 7 , , , 39713 3576 8 two two CD 39713 3576 9 series series NN 39713 3576 10 of of IN 39713 3576 11 internal internal JJ 39713 3576 12 changes change NNS 39713 3576 13 _ _ NNP 39713 3576 14 S S NNP 39713 3576 15 _ _ NNP 39713 3576 16 and and CC 39713 3576 17 _ _ NNP 39713 3576 18 S S NNP 39713 3576 19 ' ' '' 39713 3576 20 ' ' '' 39713 3576 21 _ _ XX 39713 3576 22 ; ; : 39713 3576 23 like like IN 39713 3576 24 the the DT 39713 3576 25 others other NNS 39713 3576 26 , , , 39713 3576 27 they -PRON- PRP 39713 3576 28 will will MD 39713 3576 29 have have VB 39713 3576 30 nothing nothing NN 39713 3576 31 in in IN 39713 3576 32 common common JJ 39713 3576 33 . . . 39713 3577 1 And and CC 39713 3577 2 yet yet RB 39713 3577 3 I -PRON- PRP 39713 3577 4 say say VBP 39713 3577 5 that that IN 39713 3577 6 [ [ -LRB- 39713 3577 7 alpha alpha NN 39713 3577 8 ] ] -RRB- 39713 3577 9 and and CC 39713 3577 10 [ [ -LRB- 39713 3577 11 beta beta NN 39713 3577 12 ] ] -RRB- 39713 3577 13 correspond correspond VB 39713 3577 14 to to IN 39713 3577 15 the the DT 39713 3577 16 same same JJ 39713 3577 17 displacement displacement NN 39713 3577 18 , , , 39713 3577 19 and and CC 39713 3577 20 that that IN 39713 3577 21 _ _ NNP 39713 3577 22 S S NNP 39713 3577 23 _ _ NNP 39713 3577 24 and and CC 39713 3577 25 _ _ NNP 39713 3577 26 S S NNP 39713 3577 27 ' ' '' 39713 3577 28 ' ' '' 39713 3577 29 _ _ NNP 39713 3577 30 correspond correspond NN 39713 3577 31 also also RB 39713 3577 32 to to IN 39713 3577 33 the the DT 39713 3577 34 same same JJ 39713 3577 35 displacement displacement NN 39713 3577 36 . . . 39713 3578 1 Why why WRB 39713 3578 2 ? ? . 39713 3579 1 Simply simply RB 39713 3579 2 because because IN 39713 3579 3 _ _ NNP 39713 3579 4 S S NNP 39713 3579 5 _ _ NNP 39713 3579 6 can can MD 39713 3579 7 correct correct VB 39713 3579 8 [ [ -LRB- 39713 3579 9 alpha alpha NN 39713 3579 10 ] ] -RRB- 39713 3579 11 as as RB 39713 3579 12 well well RB 39713 3579 13 as as IN 39713 3579 14 [ [ -LRB- 39713 3579 15 beta beta NN 39713 3579 16 ] ] -RRB- 39713 3579 17 and and CC 39713 3579 18 because because IN 39713 3579 19 [ [ -LRB- 39713 3579 20 alpha alpha NN 39713 3579 21 ] ] -RRB- 39713 3579 22 can can MD 39713 3579 23 be be VB 39713 3579 24 corrected correct VBN 39713 3579 25 by by IN 39713 3579 26 _ _ NNP 39713 3579 27 S S NNP 39713 3579 28 ' ' '' 39713 3579 29 ' ' '' 39713 3579 30 _ _ XX 39713 3579 31 as as RB 39713 3579 32 well well RB 39713 3579 33 as as IN 39713 3579 34 by by IN 39713 3579 35 _ _ NNP 39713 3579 36 S S NNP 39713 3579 37 _ _ NNP 39713 3579 38 . . . 39713 3580 1 And and CC 39713 3580 2 then then RB 39713 3580 3 a a DT 39713 3580 4 question question NN 39713 3580 5 suggests suggest VBZ 39713 3580 6 itself -PRON- PRP 39713 3580 7 : : : 39713 3580 8 If if IN 39713 3580 9 I -PRON- PRP 39713 3580 10 have have VBP 39713 3580 11 ascertained ascertain VBN 39713 3580 12 that that IN 39713 3580 13 _ _ NNP 39713 3580 14 S S NNP 39713 3580 15 _ _ NNP 39713 3580 16 corrects correct VBZ 39713 3580 17 [ [ -LRB- 39713 3580 18 alpha alpha NN 39713 3580 19 ] ] -RRB- 39713 3580 20 and and CC 39713 3580 21 [ [ -LRB- 39713 3580 22 beta beta NN 39713 3580 23 ] ] -RRB- 39713 3580 24 and and CC 39713 3580 25 that that IN 39713 3580 26 _ _ NNP 39713 3580 27 S S NNP 39713 3580 28 ' ' '' 39713 3580 29 ' ' '' 39713 3580 30 _ _ NNP 39713 3580 31 corrects correct VBZ 39713 3580 32 [ [ -LRB- 39713 3580 33 alpha alpha NN 39713 3580 34 ] ] -RRB- 39713 3580 35 , , , 39713 3580 36 am be VBP 39713 3580 37 I -PRON- PRP 39713 3580 38 certain certain JJ 39713 3580 39 that that IN 39713 3580 40 _ _ NNP 39713 3580 41 S S NNP 39713 3580 42 ' ' '' 39713 3580 43 ' ' '' 39713 3580 44 _ _ NNP 39713 3580 45 likewise likewise RB 39713 3580 46 corrects correct VBZ 39713 3580 47 [ [ -LRB- 39713 3580 48 beta beta NN 39713 3580 49 ] ] -RRB- 39713 3580 50 ? ? . 39713 3581 1 Experiment experiment NN 39713 3581 2 alone alone RB 39713 3581 3 can can MD 39713 3581 4 teach teach VB 39713 3581 5 us -PRON- PRP 39713 3581 6 whether whether IN 39713 3581 7 this this DT 39713 3581 8 law law NN 39713 3581 9 is be VBZ 39713 3581 10 verified verify VBN 39713 3581 11 . . . 39713 3582 1 If if IN 39713 3582 2 it -PRON- PRP 39713 3582 3 were be VBD 39713 3582 4 not not RB 39713 3582 5 verified verify VBN 39713 3582 6 , , , 39713 3582 7 at at IN 39713 3582 8 least least JJS 39713 3582 9 approximately approximately RB 39713 3582 10 , , , 39713 3582 11 there there EX 39713 3582 12 would would MD 39713 3582 13 be be VB 39713 3582 14 no no DT 39713 3582 15 geometry geometry NN 39713 3582 16 , , , 39713 3582 17 there there EX 39713 3582 18 would would MD 39713 3582 19 be be VB 39713 3582 20 no no DT 39713 3582 21 space space NN 39713 3582 22 , , , 39713 3582 23 because because IN 39713 3582 24 we -PRON- PRP 39713 3582 25 should should MD 39713 3582 26 have have VB 39713 3582 27 no no DT 39713 3582 28 more more JJR 39713 3582 29 interest interest NN 39713 3582 30 in in IN 39713 3582 31 classifying classify VBG 39713 3582 32 the the DT 39713 3582 33 internal internal JJ 39713 3582 34 and and CC 39713 3582 35 external external JJ 39713 3582 36 changes change NNS 39713 3582 37 as as IN 39713 3582 38 I -PRON- PRP 39713 3582 39 have have VBP 39713 3582 40 just just RB 39713 3582 41 done do VBN 39713 3582 42 , , , 39713 3582 43 and and CC 39713 3582 44 , , , 39713 3582 45 for for IN 39713 3582 46 instance instance NN 39713 3582 47 , , , 39713 3582 48 in in IN 39713 3582 49 distinguishing distinguish VBG 39713 3582 50 changes change NNS 39713 3582 51 of of IN 39713 3582 52 state state NN 39713 3582 53 from from IN 39713 3582 54 changes change NNS 39713 3582 55 of of IN 39713 3582 56 position position NN 39713 3582 57 . . . 39713 3583 1 It -PRON- PRP 39713 3583 2 is be VBZ 39713 3583 3 interesting interesting JJ 39713 3583 4 to to TO 39713 3583 5 see see VB 39713 3583 6 what what WP 39713 3583 7 has have VBZ 39713 3583 8 been be VBN 39713 3583 9 the the DT 39713 3583 10 rôle rôle NN 39713 3583 11 of of IN 39713 3583 12 experience experience NN 39713 3583 13 in in IN 39713 3583 14 all all PDT 39713 3583 15 this this DT 39713 3583 16 . . . 39713 3584 1 It -PRON- PRP 39713 3584 2 has have VBZ 39713 3584 3 shown show VBN 39713 3584 4 me -PRON- PRP 39713 3584 5 that that IN 39713 3584 6 a a DT 39713 3584 7 certain certain JJ 39713 3584 8 law law NN 39713 3584 9 is be VBZ 39713 3584 10 approximately approximately RB 39713 3584 11 verified verify VBN 39713 3584 12 . . . 39713 3585 1 It -PRON- PRP 39713 3585 2 has have VBZ 39713 3585 3 not not RB 39713 3585 4 told tell VBD 39713 3585 5 me -PRON- PRP 39713 3585 6 _ _ NNP 39713 3585 7 how how WRB 39713 3585 8 _ _ NNP 39713 3585 9 space space NN 39713 3585 10 is be VBZ 39713 3585 11 , , , 39713 3585 12 and and CC 39713 3585 13 that that IN 39713 3585 14 it -PRON- PRP 39713 3585 15 satisfies satisfy VBZ 39713 3585 16 the the DT 39713 3585 17 condition condition NN 39713 3585 18 in in IN 39713 3585 19 question question NN 39713 3585 20 . . . 39713 3586 1 I -PRON- PRP 39713 3586 2 knew know VBD 39713 3586 3 , , , 39713 3586 4 in in IN 39713 3586 5 fact fact NN 39713 3586 6 , , , 39713 3586 7 before before IN 39713 3586 8 all all DT 39713 3586 9 experience experience NN 39713 3586 10 , , , 39713 3586 11 that that DT 39713 3586 12 space space NN 39713 3586 13 satisfied satisfy VBD 39713 3586 14 this this DT 39713 3586 15 condition condition NN 39713 3586 16 or or CC 39713 3586 17 that that IN 39713 3586 18 it -PRON- PRP 39713 3586 19 would would MD 39713 3586 20 not not RB 39713 3586 21 be be VB 39713 3586 22 ; ; : 39713 3586 23 nor nor CC 39713 3586 24 have have VB 39713 3586 25 I -PRON- PRP 39713 3586 26 any any DT 39713 3586 27 right right NN 39713 3586 28 to to TO 39713 3586 29 say say VB 39713 3586 30 that that DT 39713 3586 31 experience experience NN 39713 3586 32 told tell VBD 39713 3586 33 me -PRON- PRP 39713 3586 34 that that DT 39713 3586 35 geometry geometry NN 39713 3586 36 is be VBZ 39713 3586 37 possible possible JJ 39713 3586 38 ; ; : 39713 3586 39 I -PRON- PRP 39713 3586 40 very very RB 39713 3586 41 well well RB 39713 3586 42 see see VBP 39713 3586 43 that that IN 39713 3586 44 geometry geometry NN 39713 3586 45 is be VBZ 39713 3586 46 possible possible JJ 39713 3586 47 , , , 39713 3586 48 since since IN 39713 3586 49 it -PRON- PRP 39713 3586 50 does do VBZ 39713 3586 51 not not RB 39713 3586 52 imply imply VB 39713 3586 53 contradiction contradiction NN 39713 3586 54 ; ; : 39713 3586 55 experience experience NN 39713 3586 56 only only RB 39713 3586 57 tells tell VBZ 39713 3586 58 me -PRON- PRP 39713 3586 59 that that DT 39713 3586 60 geometry geometry NN 39713 3586 61 is be VBZ 39713 3586 62 useful useful JJ 39713 3586 63 . . . 39713 3587 1 6 6 CD 39713 3587 2 . . . 39713 3588 1 _ _ NNP 39713 3588 2 Visual Visual NNP 39713 3588 3 Space Space NNP 39713 3588 4 _ _ NNP 39713 3588 5 Although although IN 39713 3588 6 motor motor NN 39713 3588 7 impressions impression NNS 39713 3588 8 have have VBP 39713 3588 9 had have VBN 39713 3588 10 , , , 39713 3588 11 as as IN 39713 3588 12 I -PRON- PRP 39713 3588 13 have have VBP 39713 3588 14 just just RB 39713 3588 15 explained explain VBN 39713 3588 16 , , , 39713 3588 17 an an DT 39713 3588 18 altogether altogether RB 39713 3588 19 preponderant preponderant JJ 39713 3588 20 influence influence NN 39713 3588 21 in in IN 39713 3588 22 the the DT 39713 3588 23 genesis genesis NN 39713 3588 24 of of IN 39713 3588 25 the the DT 39713 3588 26 notion notion NN 39713 3588 27 of of IN 39713 3588 28 space space NN 39713 3588 29 , , , 39713 3588 30 which which WDT 39713 3588 31 never never RB 39713 3588 32 would would MD 39713 3588 33 have have VB 39713 3588 34 taken take VBN 39713 3588 35 birth birth NN 39713 3588 36 without without IN 39713 3588 37 them -PRON- PRP 39713 3588 38 , , , 39713 3588 39 it -PRON- PRP 39713 3588 40 will will MD 39713 3588 41 not not RB 39713 3588 42 be be VB 39713 3588 43 without without IN 39713 3588 44 interest interest NN 39713 3588 45 to to TO 39713 3588 46 examine examine VB 39713 3588 47 also also RB 39713 3588 48 the the DT 39713 3588 49 rôle rôle NN 39713 3588 50 of of IN 39713 3588 51 visual visual JJ 39713 3588 52 impressions impression NNS 39713 3588 53 and and CC 39713 3588 54 to to TO 39713 3588 55 investigate investigate VB 39713 3588 56 how how WRB 39713 3588 57 many many JJ 39713 3588 58 dimensions dimension NNS 39713 3588 59 ' ' POS 39713 3588 60 visual visual JJ 39713 3588 61 space space NN 39713 3588 62 ' ' '' 39713 3588 63 has have VBZ 39713 3588 64 , , , 39713 3588 65 and and CC 39713 3588 66 for for IN 39713 3588 67 that that DT 39713 3588 68 purpose purpose NN 39713 3588 69 to to TO 39713 3588 70 apply apply VB 39713 3588 71 to to IN 39713 3588 72 these these DT 39713 3588 73 impressions impression NNS 39713 3588 74 the the DT 39713 3588 75 definition definition NN 39713 3588 76 of of IN 39713 3588 77 § § CD 39713 3588 78 3 3 CD 39713 3588 79 . . . 39713 3589 1 A a DT 39713 3589 2 first first JJ 39713 3589 3 difficulty difficulty NN 39713 3589 4 presents present VBZ 39713 3589 5 itself -PRON- PRP 39713 3589 6 : : : 39713 3589 7 consider consider VB 39713 3589 8 a a DT 39713 3589 9 red red JJ 39713 3589 10 color color NN 39713 3589 11 sensation sensation NN 39713 3589 12 affecting affect VBG 39713 3589 13 a a DT 39713 3589 14 certain certain JJ 39713 3589 15 point point NN 39713 3589 16 of of IN 39713 3589 17 the the DT 39713 3589 18 retina retina NNP 39713 3589 19 ; ; : 39713 3589 20 and and CC 39713 3589 21 on on IN 39713 3589 22 the the DT 39713 3589 23 other other JJ 39713 3589 24 hand hand NN 39713 3589 25 a a DT 39713 3589 26 blue blue JJ 39713 3589 27 color color NN 39713 3589 28 sensation sensation NN 39713 3589 29 affecting affect VBG 39713 3589 30 the the DT 39713 3589 31 same same JJ 39713 3589 32 point point NN 39713 3589 33 of of IN 39713 3589 34 the the DT 39713 3589 35 retina retina NNP 39713 3589 36 . . . 39713 3590 1 It -PRON- PRP 39713 3590 2 is be VBZ 39713 3590 3 necessary necessary JJ 39713 3590 4 that that IN 39713 3590 5 we -PRON- PRP 39713 3590 6 have have VBP 39713 3590 7 some some DT 39713 3590 8 means mean NNS 39713 3590 9 of of IN 39713 3590 10 recognizing recognize VBG 39713 3590 11 that that IN 39713 3590 12 these these DT 39713 3590 13 two two CD 39713 3590 14 sensations sensation NNS 39713 3590 15 , , , 39713 3590 16 qualitatively qualitatively RB 39713 3590 17 different different JJ 39713 3590 18 , , , 39713 3590 19 have have VB 39713 3590 20 something something NN 39713 3590 21 in in IN 39713 3590 22 common common JJ 39713 3590 23 . . . 39713 3591 1 Now now RB 39713 3591 2 , , , 39713 3591 3 according accord VBG 39713 3591 4 to to IN 39713 3591 5 the the DT 39713 3591 6 considerations consideration NNS 39713 3591 7 expounded expound VBN 39713 3591 8 in in IN 39713 3591 9 the the DT 39713 3591 10 preceding precede VBG 39713 3591 11 paragraph paragraph NN 39713 3591 12 , , , 39713 3591 13 we -PRON- PRP 39713 3591 14 have have VBP 39713 3591 15 been be VBN 39713 3591 16 able able JJ 39713 3591 17 to to TO 39713 3591 18 recognize recognize VB 39713 3591 19 this this DT 39713 3591 20 only only RB 39713 3591 21 by by IN 39713 3591 22 the the DT 39713 3591 23 movements movement NNS 39713 3591 24 of of IN 39713 3591 25 the the DT 39713 3591 26 eye eye NN 39713 3591 27 and and CC 39713 3591 28 the the DT 39713 3591 29 observations observation NNS 39713 3591 30 to to TO 39713 3591 31 which which WDT 39713 3591 32 they -PRON- PRP 39713 3591 33 have have VBP 39713 3591 34 given give VBN 39713 3591 35 rise rise NN 39713 3591 36 . . . 39713 3592 1 If if IN 39713 3592 2 the the DT 39713 3592 3 eye eye NN 39713 3592 4 were be VBD 39713 3592 5 immovable immovable JJ 39713 3592 6 , , , 39713 3592 7 or or CC 39713 3592 8 if if IN 39713 3592 9 we -PRON- PRP 39713 3592 10 were be VBD 39713 3592 11 unconscious unconscious JJ 39713 3592 12 of of IN 39713 3592 13 its -PRON- PRP$ 39713 3592 14 movements movement NNS 39713 3592 15 , , , 39713 3592 16 we -PRON- PRP 39713 3592 17 should should MD 39713 3592 18 not not RB 39713 3592 19 have have VB 39713 3592 20 been be VBN 39713 3592 21 able able JJ 39713 3592 22 to to TO 39713 3592 23 recognize recognize VB 39713 3592 24 that that IN 39713 3592 25 these these DT 39713 3592 26 two two CD 39713 3592 27 sensations sensation NNS 39713 3592 28 , , , 39713 3592 29 of of IN 39713 3592 30 different different JJ 39713 3592 31 quality quality NN 39713 3592 32 , , , 39713 3592 33 had have VBD 39713 3592 34 something something NN 39713 3592 35 in in IN 39713 3592 36 common common JJ 39713 3592 37 ; ; : 39713 3592 38 we -PRON- PRP 39713 3592 39 should should MD 39713 3592 40 not not RB 39713 3592 41 have have VB 39713 3592 42 been be VBN 39713 3592 43 able able JJ 39713 3592 44 to to TO 39713 3592 45 disengage disengage VB 39713 3592 46 from from IN 39713 3592 47 them -PRON- PRP 39713 3592 48 what what WP 39713 3592 49 gives give VBZ 39713 3592 50 them -PRON- PRP 39713 3592 51 a a DT 39713 3592 52 geometric geometric JJ 39713 3592 53 character character NN 39713 3592 54 . . . 39713 3593 1 The the DT 39713 3593 2 visual visual JJ 39713 3593 3 sensations sensation NNS 39713 3593 4 , , , 39713 3593 5 without without IN 39713 3593 6 the the DT 39713 3593 7 muscular muscular JJ 39713 3593 8 sensations sensation NNS 39713 3593 9 , , , 39713 3593 10 would would MD 39713 3593 11 have have VB 39713 3593 12 nothing nothing NN 39713 3593 13 geometric geometric JJ 39713 3593 14 , , , 39713 3593 15 so so IN 39713 3593 16 that that IN 39713 3593 17 it -PRON- PRP 39713 3593 18 may may MD 39713 3593 19 be be VB 39713 3593 20 said say VBN 39713 3593 21 there there EX 39713 3593 22 is be VBZ 39713 3593 23 no no DT 39713 3593 24 pure pure JJ 39713 3593 25 visual visual JJ 39713 3593 26 space space NN 39713 3593 27 . . . 39713 3594 1 To to TO 39713 3594 2 do do VB 39713 3594 3 away away RB 39713 3594 4 with with IN 39713 3594 5 this this DT 39713 3594 6 difficulty difficulty NN 39713 3594 7 , , , 39713 3594 8 consider consider VB 39713 3594 9 only only JJ 39713 3594 10 sensations sensation NNS 39713 3594 11 of of IN 39713 3594 12 the the DT 39713 3594 13 same same JJ 39713 3594 14 nature nature NN 39713 3594 15 , , , 39713 3594 16 red red JJ 39713 3594 17 sensations sensation NNS 39713 3594 18 , , , 39713 3594 19 for for IN 39713 3594 20 instance instance NN 39713 3594 21 , , , 39713 3594 22 differing differ VBG 39713 3594 23 one one CD 39713 3594 24 from from IN 39713 3594 25 another another DT 39713 3594 26 only only RB 39713 3594 27 as as IN 39713 3594 28 regards regard VBZ 39713 3594 29 the the DT 39713 3594 30 point point NN 39713 3594 31 of of IN 39713 3594 32 the the DT 39713 3594 33 retina retina NNP 39713 3594 34 that that WDT 39713 3594 35 they -PRON- PRP 39713 3594 36 affect affect VBP 39713 3594 37 . . . 39713 3595 1 It -PRON- PRP 39713 3595 2 is be VBZ 39713 3595 3 clear clear JJ 39713 3595 4 that that IN 39713 3595 5 I -PRON- PRP 39713 3595 6 have have VBP 39713 3595 7 no no DT 39713 3595 8 reason reason NN 39713 3595 9 for for IN 39713 3595 10 making make VBG 39713 3595 11 such such PDT 39713 3595 12 an an DT 39713 3595 13 arbitrary arbitrary JJ 39713 3595 14 choice choice NN 39713 3595 15 among among IN 39713 3595 16 all all PDT 39713 3595 17 the the DT 39713 3595 18 possible possible JJ 39713 3595 19 visual visual JJ 39713 3595 20 sensations sensation NNS 39713 3595 21 , , , 39713 3595 22 for for IN 39713 3595 23 the the DT 39713 3595 24 purpose purpose NN 39713 3595 25 of of IN 39713 3595 26 uniting unite VBG 39713 3595 27 in in IN 39713 3595 28 the the DT 39713 3595 29 same same JJ 39713 3595 30 class class NN 39713 3595 31 all all PDT 39713 3595 32 the the DT 39713 3595 33 sensations sensation NNS 39713 3595 34 of of IN 39713 3595 35 the the DT 39713 3595 36 same same JJ 39713 3595 37 color color NN 39713 3595 38 , , , 39713 3595 39 whatever whatever WDT 39713 3595 40 may may MD 39713 3595 41 be be VB 39713 3595 42 the the DT 39713 3595 43 point point NN 39713 3595 44 of of IN 39713 3595 45 the the DT 39713 3595 46 retina retina NNP 39713 3595 47 affected affect VBN 39713 3595 48 . . . 39713 3596 1 I -PRON- PRP 39713 3596 2 should should MD 39713 3596 3 never never RB 39713 3596 4 have have VB 39713 3596 5 dreamt dreamt NN 39713 3596 6 of of IN 39713 3596 7 it -PRON- PRP 39713 3596 8 , , , 39713 3596 9 had have VBD 39713 3596 10 I -PRON- PRP 39713 3596 11 not not RB 39713 3596 12 before before RB 39713 3596 13 learned learn VBN 39713 3596 14 , , , 39713 3596 15 by by IN 39713 3596 16 the the DT 39713 3596 17 means mean NNS 39713 3596 18 we -PRON- PRP 39713 3596 19 have have VBP 39713 3596 20 just just RB 39713 3596 21 seen see VBN 39713 3596 22 , , , 39713 3596 23 to to TO 39713 3596 24 distinguish distinguish VB 39713 3596 25 changes change NNS 39713 3596 26 of of IN 39713 3596 27 state state NN 39713 3596 28 from from IN 39713 3596 29 changes change NNS 39713 3596 30 of of IN 39713 3596 31 position position NN 39713 3596 32 , , , 39713 3596 33 that that RB 39713 3596 34 is is RB 39713 3596 35 , , , 39713 3596 36 if if IN 39713 3596 37 my -PRON- PRP$ 39713 3596 38 eye eye NN 39713 3596 39 were be VBD 39713 3596 40 immovable immovable JJ 39713 3596 41 . . . 39713 3597 1 Two two CD 39713 3597 2 sensations sensation NNS 39713 3597 3 of of IN 39713 3597 4 the the DT 39713 3597 5 same same JJ 39713 3597 6 color color NN 39713 3597 7 affecting affect VBG 39713 3597 8 two two CD 39713 3597 9 different different JJ 39713 3597 10 parts part NNS 39713 3597 11 of of IN 39713 3597 12 the the DT 39713 3597 13 retina retina NNP 39713 3597 14 would would MD 39713 3597 15 have have VB 39713 3597 16 appeared appear VBN 39713 3597 17 to to IN 39713 3597 18 me -PRON- PRP 39713 3597 19 as as RB 39713 3597 20 qualitatively qualitatively RB 39713 3597 21 distinct distinct JJ 39713 3597 22 , , , 39713 3597 23 just just RB 39713 3597 24 as as IN 39713 3597 25 two two CD 39713 3597 26 sensations sensation NNS 39713 3597 27 of of IN 39713 3597 28 different different JJ 39713 3597 29 color color NN 39713 3597 30 . . . 39713 3598 1 In in IN 39713 3598 2 restricting restrict VBG 39713 3598 3 myself -PRON- PRP 39713 3598 4 to to IN 39713 3598 5 red red JJ 39713 3598 6 sensations sensation NNS 39713 3598 7 , , , 39713 3598 8 I -PRON- PRP 39713 3598 9 therefore therefore RB 39713 3598 10 impose impose VBP 39713 3598 11 upon upon IN 39713 3598 12 myself -PRON- PRP 39713 3598 13 an an DT 39713 3598 14 artificial artificial JJ 39713 3598 15 limitation limitation NN 39713 3598 16 and and CC 39713 3598 17 I -PRON- PRP 39713 3598 18 neglect neglect VBP 39713 3598 19 systematically systematically RB 39713 3598 20 one one CD 39713 3598 21 whole whole JJ 39713 3598 22 side side NN 39713 3598 23 of of IN 39713 3598 24 the the DT 39713 3598 25 question question NN 39713 3598 26 ; ; : 39713 3598 27 but but CC 39713 3598 28 it -PRON- PRP 39713 3598 29 is be VBZ 39713 3598 30 only only RB 39713 3598 31 by by IN 39713 3598 32 this this DT 39713 3598 33 artifice artifice NN 39713 3598 34 that that WDT 39713 3598 35 I -PRON- PRP 39713 3598 36 am be VBP 39713 3598 37 able able JJ 39713 3598 38 to to TO 39713 3598 39 analyze analyze VB 39713 3598 40 visual visual JJ 39713 3598 41 space space NN 39713 3598 42 without without IN 39713 3598 43 mingling mingle VBG 39713 3598 44 any any DT 39713 3598 45 motor motor NN 39713 3598 46 sensation sensation NN 39713 3598 47 . . . 39713 3599 1 Imagine imagine VB 39713 3599 2 a a DT 39713 3599 3 line line NN 39713 3599 4 traced trace VBN 39713 3599 5 on on IN 39713 3599 6 the the DT 39713 3599 7 retina retina NNP 39713 3599 8 and and CC 39713 3599 9 dividing divide VBG 39713 3599 10 in in IN 39713 3599 11 two two CD 39713 3599 12 its -PRON- PRP$ 39713 3599 13 surface surface NN 39713 3599 14 ; ; : 39713 3599 15 and and CC 39713 3599 16 set set VBD 39713 3599 17 apart apart RP 39713 3599 18 the the DT 39713 3599 19 red red JJ 39713 3599 20 sensations sensation NNS 39713 3599 21 affecting affect VBG 39713 3599 22 a a DT 39713 3599 23 point point NN 39713 3599 24 of of IN 39713 3599 25 this this DT 39713 3599 26 line line NN 39713 3599 27 , , , 39713 3599 28 or or CC 39713 3599 29 those those DT 39713 3599 30 differing differ VBG 39713 3599 31 from from IN 39713 3599 32 them -PRON- PRP 39713 3599 33 too too RB 39713 3599 34 little little JJ 39713 3599 35 to to TO 39713 3599 36 be be VB 39713 3599 37 distinguished distinguish VBN 39713 3599 38 from from IN 39713 3599 39 them -PRON- PRP 39713 3599 40 . . . 39713 3600 1 The the DT 39713 3600 2 aggregate aggregate NN 39713 3600 3 of of IN 39713 3600 4 these these DT 39713 3600 5 sensations sensation NNS 39713 3600 6 will will MD 39713 3600 7 form form VB 39713 3600 8 a a DT 39713 3600 9 sort sort NN 39713 3600 10 of of IN 39713 3600 11 cut cut NN 39713 3600 12 that that WDT 39713 3600 13 I -PRON- PRP 39713 3600 14 shall shall MD 39713 3600 15 call call VB 39713 3600 16 _ _ NNP 39713 3600 17 C C NNP 39713 3600 18 _ _ NNP 39713 3600 19 , , , 39713 3600 20 and and CC 39713 3600 21 it -PRON- PRP 39713 3600 22 is be VBZ 39713 3600 23 clear clear JJ 39713 3600 24 that that IN 39713 3600 25 this this DT 39713 3600 26 cut cut NN 39713 3600 27 suffices suffice VBZ 39713 3600 28 to to TO 39713 3600 29 divide divide VB 39713 3600 30 the the DT 39713 3600 31 manifold manifold NN 39713 3600 32 of of IN 39713 3600 33 possible possible JJ 39713 3600 34 red red JJ 39713 3600 35 sensations sensation NNS 39713 3600 36 , , , 39713 3600 37 and and CC 39713 3600 38 that that IN 39713 3600 39 if if IN 39713 3600 40 I -PRON- PRP 39713 3600 41 take take VBP 39713 3600 42 two two CD 39713 3600 43 red red JJ 39713 3600 44 sensations sensation NNS 39713 3600 45 affecting affect VBG 39713 3600 46 two two CD 39713 3600 47 points point NNS 39713 3600 48 situated situate VBN 39713 3600 49 on on IN 39713 3600 50 one one CD 39713 3600 51 side side NN 39713 3600 52 and and CC 39713 3600 53 the the DT 39713 3600 54 other other JJ 39713 3600 55 of of IN 39713 3600 56 the the DT 39713 3600 57 line line NN 39713 3600 58 , , , 39713 3600 59 I -PRON- PRP 39713 3600 60 can can MD 39713 3600 61 not not RB 39713 3600 62 pass pass VB 39713 3600 63 from from IN 39713 3600 64 one one CD 39713 3600 65 of of IN 39713 3600 66 these these DT 39713 3600 67 sensations sensation NNS 39713 3600 68 to to IN 39713 3600 69 the the DT 39713 3600 70 other other JJ 39713 3600 71 in in IN 39713 3600 72 a a DT 39713 3600 73 continuous continuous JJ 39713 3600 74 way way NN 39713 3600 75 without without IN 39713 3600 76 passing pass VBG 39713 3600 77 at at IN 39713 3600 78 a a DT 39713 3600 79 certain certain JJ 39713 3600 80 moment moment NN 39713 3600 81 through through IN 39713 3600 82 a a DT 39713 3600 83 sensation sensation NN 39713 3600 84 belonging belong VBG 39713 3600 85 to to IN 39713 3600 86 the the DT 39713 3600 87 cut cut NN 39713 3600 88 . . . 39713 3601 1 If if IN 39713 3601 2 , , , 39713 3601 3 therefore therefore RB 39713 3601 4 , , , 39713 3601 5 the the DT 39713 3601 6 cut cut NN 39713 3601 7 has have VBZ 39713 3601 8 _ _ NNP 39713 3601 9 n n CC 39713 3601 10 _ _ NNP 39713 3601 11 dimensions dimension NNS 39713 3601 12 , , , 39713 3601 13 the the DT 39713 3601 14 total total JJ 39713 3601 15 manifold manifold NN 39713 3601 16 of of IN 39713 3601 17 my -PRON- PRP$ 39713 3601 18 red red JJ 39713 3601 19 sensations sensation NNS 39713 3601 20 , , , 39713 3601 21 or or CC 39713 3601 22 if if IN 39713 3601 23 you -PRON- PRP 39713 3601 24 wish wish VBP 39713 3601 25 , , , 39713 3601 26 the the DT 39713 3601 27 whole whole JJ 39713 3601 28 visual visual JJ 39713 3601 29 space space NN 39713 3601 30 , , , 39713 3601 31 will will MD 39713 3601 32 have have VB 39713 3601 33 _ _ NNP 39713 3601 34 n n CC 39713 3601 35 _ _ NNP 39713 3601 36 + + NNP 39713 3601 37 1 1 CD 39713 3601 38 . . . 39713 3602 1 Now now RB 39713 3602 2 , , , 39713 3602 3 I -PRON- PRP 39713 3602 4 distinguish distinguish VBP 39713 3602 5 the the DT 39713 3602 6 red red JJ 39713 3602 7 sensations sensation NNS 39713 3602 8 affecting affect VBG 39713 3602 9 a a DT 39713 3602 10 point point NN 39713 3602 11 of of IN 39713 3602 12 the the DT 39713 3602 13 cut cut NN 39713 3602 14 _ _ NNP 39713 3602 15 C C NNP 39713 3602 16 _ _ NNP 39713 3602 17 . . . 39713 3603 1 The the DT 39713 3603 2 assemblage assemblage NN 39713 3603 3 of of IN 39713 3603 4 these these DT 39713 3603 5 sensations sensation NNS 39713 3603 6 will will MD 39713 3603 7 form form VB 39713 3603 8 a a DT 39713 3603 9 new new JJ 39713 3603 10 cut cut NN 39713 3603 11 _ _ NNP 39713 3603 12 C C NNP 39713 3603 13 ' ' '' 39713 3603 14 _ _ NNP 39713 3603 15 . . . 39713 3604 1 It -PRON- PRP 39713 3604 2 is be VBZ 39713 3604 3 clear clear JJ 39713 3604 4 that that IN 39713 3604 5 this this DT 39713 3604 6 will will MD 39713 3604 7 divide divide VB 39713 3604 8 the the DT 39713 3604 9 cut cut NN 39713 3604 10 _ _ NNP 39713 3604 11 C C NNP 39713 3604 12 _ _ NNP 39713 3604 13 , , , 39713 3604 14 always always RB 39713 3604 15 giving give VBG 39713 3604 16 to to IN 39713 3604 17 the the DT 39713 3604 18 word word NN 39713 3604 19 divide divide VB 39713 3604 20 the the DT 39713 3604 21 same same JJ 39713 3604 22 meaning meaning NN 39713 3604 23 . . . 39713 3605 1 If if IN 39713 3605 2 , , , 39713 3605 3 therefore therefore RB 39713 3605 4 , , , 39713 3605 5 the the DT 39713 3605 6 cut cut NN 39713 3605 7 _ _ NNP 39713 3605 8 C C NNP 39713 3605 9 ' ' '' 39713 3605 10 _ _ NNP 39713 3605 11 has have VBZ 39713 3605 12 _ _ NNP 39713 3605 13 n n CC 39713 3605 14 _ _ NNP 39713 3605 15 dimensions dimension NNS 39713 3605 16 , , , 39713 3605 17 the the DT 39713 3605 18 cut cut NN 39713 3605 19 _ _ NNP 39713 3605 20 C C NNP 39713 3605 21 _ _ NNP 39713 3605 22 will will MD 39713 3605 23 have have VB 39713 3605 24 _ _ NNP 39713 3605 25 n n CC 39713 3605 26 _ _ NNP 39713 3605 27 + + DT 39713 3605 28 1 1 CD 39713 3605 29 and and CC 39713 3605 30 the the DT 39713 3605 31 whole whole NN 39713 3605 32 of of IN 39713 3605 33 visual visual JJ 39713 3605 34 space space NN 39713 3605 35 _ _ NNP 39713 3605 36 n n NNP 39713 3605 37 _ _ NNP 39713 3605 38 + + CC 39713 3605 39 2 2 CD 39713 3605 40 . . . 39713 3606 1 If if IN 39713 3606 2 all all PDT 39713 3606 3 the the DT 39713 3606 4 red red JJ 39713 3606 5 sensations sensation NNS 39713 3606 6 affecting affect VBG 39713 3606 7 the the DT 39713 3606 8 same same JJ 39713 3606 9 point point NN 39713 3606 10 of of IN 39713 3606 11 the the DT 39713 3606 12 retina retina NNP 39713 3606 13 were be VBD 39713 3606 14 regarded regard VBN 39713 3606 15 as as IN 39713 3606 16 identical identical JJ 39713 3606 17 , , , 39713 3606 18 the the DT 39713 3606 19 cut cut NN 39713 3606 20 _ _ NNP 39713 3606 21 C C NNP 39713 3606 22 ' ' '' 39713 3606 23 _ _ NNP 39713 3606 24 reducing reduce VBG 39713 3606 25 to to IN 39713 3606 26 a a DT 39713 3606 27 single single JJ 39713 3606 28 element element NN 39713 3606 29 would would MD 39713 3606 30 have have VB 39713 3606 31 0 0 CD 39713 3606 32 dimensions dimension NNS 39713 3606 33 , , , 39713 3606 34 and and CC 39713 3606 35 visual visual JJ 39713 3606 36 space space NN 39713 3606 37 would would MD 39713 3606 38 have have VB 39713 3606 39 2 2 CD 39713 3606 40 . . . 39713 3607 1 And and CC 39713 3607 2 yet yet RB 39713 3607 3 most most RBS 39713 3607 4 often often RB 39713 3607 5 it -PRON- PRP 39713 3607 6 is be VBZ 39713 3607 7 said say VBN 39713 3607 8 that that IN 39713 3607 9 the the DT 39713 3607 10 eye eye NN 39713 3607 11 gives give VBZ 39713 3607 12 us -PRON- PRP 39713 3607 13 the the DT 39713 3607 14 sense sense NN 39713 3607 15 of of IN 39713 3607 16 a a DT 39713 3607 17 third third JJ 39713 3607 18 dimension dimension NN 39713 3607 19 , , , 39713 3607 20 and and CC 39713 3607 21 enables enable VBZ 39713 3607 22 us -PRON- PRP 39713 3607 23 in in IN 39713 3607 24 a a DT 39713 3607 25 certain certain JJ 39713 3607 26 measure measure NN 39713 3607 27 to to TO 39713 3607 28 recognize recognize VB 39713 3607 29 the the DT 39713 3607 30 distance distance NN 39713 3607 31 of of IN 39713 3607 32 objects object NNS 39713 3607 33 . . . 39713 3608 1 When when WRB 39713 3608 2 we -PRON- PRP 39713 3608 3 seek seek VBP 39713 3608 4 to to TO 39713 3608 5 analyze analyze VB 39713 3608 6 this this DT 39713 3608 7 feeling feeling NN 39713 3608 8 , , , 39713 3608 9 we -PRON- PRP 39713 3608 10 ascertain ascertain VBP 39713 3608 11 that that IN 39713 3608 12 it -PRON- PRP 39713 3608 13 reduces reduce VBZ 39713 3608 14 either either RB 39713 3608 15 to to IN 39713 3608 16 the the DT 39713 3608 17 consciousness consciousness NN 39713 3608 18 of of IN 39713 3608 19 the the DT 39713 3608 20 convergence convergence NN 39713 3608 21 of of IN 39713 3608 22 the the DT 39713 3608 23 eyes eye NNS 39713 3608 24 , , , 39713 3608 25 or or CC 39713 3608 26 to to IN 39713 3608 27 that that DT 39713 3608 28 of of IN 39713 3608 29 the the DT 39713 3608 30 effort effort NN 39713 3608 31 of of IN 39713 3608 32 accommodation accommodation NN 39713 3608 33 which which WDT 39713 3608 34 the the DT 39713 3608 35 ciliary ciliary JJ 39713 3608 36 muscle muscle NN 39713 3608 37 makes make VBZ 39713 3608 38 to to TO 39713 3608 39 focus focus VB 39713 3608 40 the the DT 39713 3608 41 image image NN 39713 3608 42 . . . 39713 3609 1 Two two CD 39713 3609 2 red red JJ 39713 3609 3 sensations sensation NNS 39713 3609 4 affecting affect VBG 39713 3609 5 the the DT 39713 3609 6 same same JJ 39713 3609 7 point point NN 39713 3609 8 of of IN 39713 3609 9 the the DT 39713 3609 10 retina retina NNP 39713 3609 11 will will MD 39713 3609 12 therefore therefore RB 39713 3609 13 be be VB 39713 3609 14 regarded regard VBN 39713 3609 15 as as IN 39713 3609 16 identical identical JJ 39713 3609 17 only only RB 39713 3609 18 if if IN 39713 3609 19 they -PRON- PRP 39713 3609 20 are be VBP 39713 3609 21 accompanied accompany VBN 39713 3609 22 by by IN 39713 3609 23 the the DT 39713 3609 24 same same JJ 39713 3609 25 sensation sensation NN 39713 3609 26 of of IN 39713 3609 27 convergence convergence NN 39713 3609 28 and and CC 39713 3609 29 also also RB 39713 3609 30 by by IN 39713 3609 31 the the DT 39713 3609 32 same same JJ 39713 3609 33 sensation sensation NN 39713 3609 34 of of IN 39713 3609 35 effort effort NN 39713 3609 36 of of IN 39713 3609 37 accommodation accommodation NN 39713 3609 38 or or CC 39713 3609 39 at at IN 39713 3609 40 least least JJS 39713 3609 41 by by IN 39713 3609 42 sensations sensation NNS 39713 3609 43 of of IN 39713 3609 44 convergence convergence NN 39713 3609 45 and and CC 39713 3609 46 accommodation accommodation NN 39713 3609 47 so so RB 39713 3609 48 slightly slightly RB 39713 3609 49 different different JJ 39713 3609 50 as as IN 39713 3609 51 to to TO 39713 3609 52 be be VB 39713 3609 53 indistinguishable indistinguishable JJ 39713 3609 54 . . . 39713 3610 1 On on IN 39713 3610 2 this this DT 39713 3610 3 account account NN 39713 3610 4 the the DT 39713 3610 5 cut cut NN 39713 3610 6 _ _ NNP 39713 3610 7 C C NNP 39713 3610 8 ' ' POS 39713 3610 9 _ _ NNP 39713 3610 10 is be VBZ 39713 3610 11 itself -PRON- PRP 39713 3610 12 a a DT 39713 3610 13 continuum continuum NN 39713 3610 14 and and CC 39713 3610 15 the the DT 39713 3610 16 cut cut NN 39713 3610 17 _ _ NNP 39713 3610 18 C C NNP 39713 3610 19 _ _ NNP 39713 3610 20 has have VBZ 39713 3610 21 more more JJR 39713 3610 22 than than IN 39713 3610 23 one one CD 39713 3610 24 dimension dimension NN 39713 3610 25 . . . 39713 3611 1 But but CC 39713 3611 2 it -PRON- PRP 39713 3611 3 happens happen VBZ 39713 3611 4 precisely precisely RB 39713 3611 5 that that IN 39713 3611 6 experience experience NN 39713 3611 7 teaches teach VBZ 39713 3611 8 us -PRON- PRP 39713 3611 9 that that IN 39713 3611 10 when when WRB 39713 3611 11 two two CD 39713 3611 12 visual visual JJ 39713 3611 13 sensations sensation NNS 39713 3611 14 are be VBP 39713 3611 15 accompanied accompany VBN 39713 3611 16 by by IN 39713 3611 17 the the DT 39713 3611 18 same same JJ 39713 3611 19 sensation sensation NN 39713 3611 20 of of IN 39713 3611 21 convergence convergence NN 39713 3611 22 , , , 39713 3611 23 they -PRON- PRP 39713 3611 24 are be VBP 39713 3611 25 likewise likewise RB 39713 3611 26 accompanied accompany VBN 39713 3611 27 by by IN 39713 3611 28 the the DT 39713 3611 29 same same JJ 39713 3611 30 sensation sensation NN 39713 3611 31 of of IN 39713 3611 32 accommodation accommodation NN 39713 3611 33 . . . 39713 3612 1 If if IN 39713 3612 2 then then RB 39713 3612 3 we -PRON- PRP 39713 3612 4 form form VBP 39713 3612 5 a a DT 39713 3612 6 new new JJ 39713 3612 7 cut cut NN 39713 3612 8 _ _ NNP 39713 3612 9 C C NNP 39713 3612 10 ' ' '' 39713 3612 11 ' ' '' 39713 3612 12 _ _ XX 39713 3612 13 with with IN 39713 3612 14 all all PDT 39713 3612 15 those those DT 39713 3612 16 of of IN 39713 3612 17 the the DT 39713 3612 18 sensations sensation NNS 39713 3612 19 of of IN 39713 3612 20 the the DT 39713 3612 21 cut cut NN 39713 3612 22 _ _ NNP 39713 3612 23 C C NNP 39713 3612 24 ' ' '' 39713 3612 25 _ _ NNP 39713 3612 26 , , , 39713 3612 27 which which WDT 39713 3612 28 are be VBP 39713 3612 29 accompanied accompany VBN 39713 3612 30 by by IN 39713 3612 31 a a DT 39713 3612 32 certain certain JJ 39713 3612 33 sensation sensation NN 39713 3612 34 of of IN 39713 3612 35 convergence convergence NN 39713 3612 36 , , , 39713 3612 37 in in IN 39713 3612 38 accordance accordance NN 39713 3612 39 with with IN 39713 3612 40 the the DT 39713 3612 41 preceding precede VBG 39713 3612 42 law law NN 39713 3612 43 they -PRON- PRP 39713 3612 44 will will MD 39713 3612 45 all all RB 39713 3612 46 be be VB 39713 3612 47 indistinguishable indistinguishable JJ 39713 3612 48 and and CC 39713 3612 49 may may MD 39713 3612 50 be be VB 39713 3612 51 regarded regard VBN 39713 3612 52 as as IN 39713 3612 53 identical identical JJ 39713 3612 54 . . . 39713 3613 1 Therefore therefore RB 39713 3613 2 _ _ NNP 39713 3613 3 C C NNP 39713 3613 4 ' ' '' 39713 3613 5 ' ' '' 39713 3613 6 _ _ NNP 39713 3613 7 will will MD 39713 3613 8 not not RB 39713 3613 9 be be VB 39713 3613 10 a a DT 39713 3613 11 continuum continuum NN 39713 3613 12 and and CC 39713 3613 13 will will MD 39713 3613 14 have have VB 39713 3613 15 0 0 CD 39713 3613 16 dimension dimension NN 39713 3613 17 ; ; : 39713 3613 18 and and CC 39713 3613 19 as as IN 39713 3613 20 _ _ NNP 39713 3613 21 C C NNP 39713 3613 22 ' ' '' 39713 3613 23 ' ' '' 39713 3613 24 _ _ NNP 39713 3613 25 divides divide VBZ 39713 3613 26 _ _ NNP 39713 3613 27 C C NNP 39713 3613 28 ' ' '' 39713 3613 29 _ _ NNP 39713 3613 30 it -PRON- PRP 39713 3613 31 will will MD 39713 3613 32 thence thence VB 39713 3613 33 result result VB 39713 3613 34 that that IN 39713 3613 35 _ _ NNP 39713 3613 36 C C NNP 39713 3613 37 ' ' '' 39713 3613 38 _ _ NNP 39713 3613 39 has have VBZ 39713 3613 40 one one CD 39713 3613 41 , , , 39713 3613 42 _ _ NNP 39713 3613 43 C C NNP 39713 3613 44 _ _ NNP 39713 3613 45 two two CD 39713 3613 46 and and CC 39713 3613 47 _ _ NNP 39713 3613 48 the the DT 39713 3613 49 whole whole JJ 39713 3613 50 visual visual JJ 39713 3613 51 space space NN 39713 3613 52 three three CD 39713 3613 53 dimensions dimension NNS 39713 3613 54 _ _ NNP 39713 3613 55 . . . 39713 3614 1 But but CC 39713 3614 2 would would MD 39713 3614 3 it -PRON- PRP 39713 3614 4 be be VB 39713 3614 5 the the DT 39713 3614 6 same same JJ 39713 3614 7 if if IN 39713 3614 8 experience experience NN 39713 3614 9 had have VBD 39713 3614 10 taught teach VBN 39713 3614 11 us -PRON- PRP 39713 3614 12 the the DT 39713 3614 13 contrary contrary NN 39713 3614 14 and and CC 39713 3614 15 if if IN 39713 3614 16 a a DT 39713 3614 17 certain certain JJ 39713 3614 18 sensation sensation NN 39713 3614 19 of of IN 39713 3614 20 convergence convergence NN 39713 3614 21 were be VBD 39713 3614 22 not not RB 39713 3614 23 always always RB 39713 3614 24 accompanied accompany VBN 39713 3614 25 by by IN 39713 3614 26 the the DT 39713 3614 27 same same JJ 39713 3614 28 sensation sensation NN 39713 3614 29 of of IN 39713 3614 30 accommodation accommodation NN 39713 3614 31 ? ? . 39713 3615 1 In in IN 39713 3615 2 this this DT 39713 3615 3 case case NN 39713 3615 4 two two CD 39713 3615 5 sensations sensation NNS 39713 3615 6 affecting affect VBG 39713 3615 7 the the DT 39713 3615 8 same same JJ 39713 3615 9 point point NN 39713 3615 10 of of IN 39713 3615 11 the the DT 39713 3615 12 retina retina NNP 39713 3615 13 and and CC 39713 3615 14 accompanied accompany VBN 39713 3615 15 by by IN 39713 3615 16 the the DT 39713 3615 17 same same JJ 39713 3615 18 sense sense NN 39713 3615 19 of of IN 39713 3615 20 convergence convergence NN 39713 3615 21 , , , 39713 3615 22 two two CD 39713 3615 23 sensations sensation NNS 39713 3615 24 which which WDT 39713 3615 25 consequently consequently RB 39713 3615 26 would would MD 39713 3615 27 both both DT 39713 3615 28 appertain appertain VB 39713 3615 29 to to IN 39713 3615 30 the the DT 39713 3615 31 cut cut NN 39713 3615 32 _ _ NNP 39713 3615 33 C C NNP 39713 3615 34 ' ' '' 39713 3615 35 ' ' '' 39713 3615 36 _ _ NNP 39713 3615 37 , , , 39713 3615 38 could could MD 39713 3615 39 nevertheless nevertheless RB 39713 3615 40 be be VB 39713 3615 41 distinguished distinguish VBN 39713 3615 42 since since IN 39713 3615 43 they -PRON- PRP 39713 3615 44 would would MD 39713 3615 45 be be VB 39713 3615 46 accompanied accompany VBN 39713 3615 47 by by IN 39713 3615 48 two two CD 39713 3615 49 different different JJ 39713 3615 50 sensations sensation NNS 39713 3615 51 of of IN 39713 3615 52 accommodation accommodation NN 39713 3615 53 . . . 39713 3616 1 Therefore therefore RB 39713 3616 2 _ _ NNP 39713 3616 3 C C NNP 39713 3616 4 ' ' '' 39713 3616 5 ' ' '' 39713 3616 6 _ _ NNP 39713 3616 7 would would MD 39713 3616 8 be be VB 39713 3616 9 in in IN 39713 3616 10 its -PRON- PRP$ 39713 3616 11 turn turn NN 39713 3616 12 a a DT 39713 3616 13 continuum continuum NN 39713 3616 14 and and CC 39713 3616 15 would would MD 39713 3616 16 have have VB 39713 3616 17 one one CD 39713 3616 18 dimension dimension NN 39713 3616 19 ( ( -LRB- 39713 3616 20 at at IN 39713 3616 21 least least JJS 39713 3616 22 ) ) -RRB- 39713 3616 23 ; ; : 39713 3616 24 then then RB 39713 3616 25 _ _ NNP 39713 3616 26 C C NNP 39713 3616 27 ' ' '' 39713 3616 28 _ _ NNP 39713 3616 29 would would MD 39713 3616 30 have have VB 39713 3616 31 two two CD 39713 3616 32 , , , 39713 3616 33 _ _ NNP 39713 3616 34 C C NNP 39713 3616 35 _ _ NNP 39713 3616 36 three three CD 39713 3616 37 and and CC 39713 3616 38 _ _ NNP 39713 3616 39 the the DT 39713 3616 40 whole whole JJ 39713 3616 41 visual visual JJ 39713 3616 42 space space NN 39713 3616 43 would would MD 39713 3616 44 have have VB 39713 3616 45 four four CD 39713 3616 46 dimensions dimension NNS 39713 3616 47 _ _ NNP 39713 3616 48 . . . 39713 3617 1 Will Will MD 39713 3617 2 it -PRON- PRP 39713 3617 3 then then RB 39713 3617 4 be be VB 39713 3617 5 said say VBN 39713 3617 6 that that IN 39713 3617 7 it -PRON- PRP 39713 3617 8 is be VBZ 39713 3617 9 experience experience NN 39713 3617 10 which which WDT 39713 3617 11 teaches teach VBZ 39713 3617 12 us -PRON- PRP 39713 3617 13 that that DT 39713 3617 14 space space NN 39713 3617 15 has have VBZ 39713 3617 16 three three CD 39713 3617 17 dimensions dimension NNS 39713 3617 18 , , , 39713 3617 19 since since IN 39713 3617 20 it -PRON- PRP 39713 3617 21 is be VBZ 39713 3617 22 in in IN 39713 3617 23 setting set VBG 39713 3617 24 out out RP 39713 3617 25 from from IN 39713 3617 26 an an DT 39713 3617 27 experimental experimental JJ 39713 3617 28 law law NN 39713 3617 29 that that WDT 39713 3617 30 we -PRON- PRP 39713 3617 31 have have VBP 39713 3617 32 come come VBN 39713 3617 33 to to TO 39713 3617 34 attribute attribute VB 39713 3617 35 three three CD 39713 3617 36 to to IN 39713 3617 37 it -PRON- PRP 39713 3617 38 ? ? . 39713 3618 1 But but CC 39713 3618 2 we -PRON- PRP 39713 3618 3 have have VBP 39713 3618 4 therein therein RB 39713 3618 5 performed perform VBN 39713 3618 6 , , , 39713 3618 7 so so RB 39713 3618 8 to to TO 39713 3618 9 speak speak VB 39713 3618 10 , , , 39713 3618 11 only only RB 39713 3618 12 an an DT 39713 3618 13 experiment experiment NN 39713 3618 14 in in IN 39713 3618 15 physiology physiology NN 39713 3618 16 ; ; : 39713 3618 17 and and CC 39713 3618 18 as as IN 39713 3618 19 also also RB 39713 3618 20 it -PRON- PRP 39713 3618 21 would would MD 39713 3618 22 suffice suffice VB 39713 3618 23 to to TO 39713 3618 24 fit fit VB 39713 3618 25 over over RP 39713 3618 26 the the DT 39713 3618 27 eyes eye NNS 39713 3618 28 glasses glass NNS 39713 3618 29 of of IN 39713 3618 30 suitable suitable JJ 39713 3618 31 construction construction NN 39713 3618 32 to to TO 39713 3618 33 put put VB 39713 3618 34 an an DT 39713 3618 35 end end NN 39713 3618 36 to to IN 39713 3618 37 the the DT 39713 3618 38 accord accord NN 39713 3618 39 between between IN 39713 3618 40 the the DT 39713 3618 41 feelings feeling NNS 39713 3618 42 of of IN 39713 3618 43 convergence convergence NN 39713 3618 44 and and CC 39713 3618 45 of of IN 39713 3618 46 accommodation accommodation NN 39713 3618 47 , , , 39713 3618 48 are be VBP 39713 3618 49 we -PRON- PRP 39713 3618 50 to to TO 39713 3618 51 say say VB 39713 3618 52 that that IN 39713 3618 53 putting put VBG 39713 3618 54 on on RP 39713 3618 55 spectacles spectacle NNS 39713 3618 56 is be VBZ 39713 3618 57 enough enough JJ 39713 3618 58 to to TO 39713 3618 59 make make VB 39713 3618 60 space space NN 39713 3618 61 have have VB 39713 3618 62 four four CD 39713 3618 63 dimensions dimension NNS 39713 3618 64 and and CC 39713 3618 65 that that IN 39713 3618 66 the the DT 39713 3618 67 optician optician NNP 39713 3618 68 who who WP 39713 3618 69 constructed construct VBD 39713 3618 70 them -PRON- PRP 39713 3618 71 has have VBZ 39713 3618 72 given give VBN 39713 3618 73 one one CD 39713 3618 74 more more JJR 39713 3618 75 dimension dimension NN 39713 3618 76 to to IN 39713 3618 77 space space NN 39713 3618 78 ? ? . 39713 3619 1 Evidently evidently RB 39713 3619 2 not not RB 39713 3619 3 ; ; : 39713 3619 4 all all DT 39713 3619 5 we -PRON- PRP 39713 3619 6 can can MD 39713 3619 7 say say VB 39713 3619 8 is be VBZ 39713 3619 9 that that IN 39713 3619 10 experience experience NN 39713 3619 11 has have VBZ 39713 3619 12 taught teach VBN 39713 3619 13 us -PRON- PRP 39713 3619 14 that that IN 39713 3619 15 it -PRON- PRP 39713 3619 16 is be VBZ 39713 3619 17 convenient convenient JJ 39713 3619 18 to to TO 39713 3619 19 attribute attribute VB 39713 3619 20 three three CD 39713 3619 21 dimensions dimension NNS 39713 3619 22 to to IN 39713 3619 23 space space NN 39713 3619 24 . . . 39713 3620 1 But but CC 39713 3620 2 visual visual JJ 39713 3620 3 space space NN 39713 3620 4 is be VBZ 39713 3620 5 only only RB 39713 3620 6 one one CD 39713 3620 7 part part NN 39713 3620 8 of of IN 39713 3620 9 space space NN 39713 3620 10 , , , 39713 3620 11 and and CC 39713 3620 12 in in IN 39713 3620 13 even even RB 39713 3620 14 the the DT 39713 3620 15 notion notion NN 39713 3620 16 of of IN 39713 3620 17 this this DT 39713 3620 18 space space NN 39713 3620 19 there there EX 39713 3620 20 is be VBZ 39713 3620 21 something something NN 39713 3620 22 artificial artificial JJ 39713 3620 23 , , , 39713 3620 24 as as IN 39713 3620 25 I -PRON- PRP 39713 3620 26 have have VBP 39713 3620 27 explained explain VBN 39713 3620 28 at at IN 39713 3620 29 the the DT 39713 3620 30 beginning beginning NN 39713 3620 31 . . . 39713 3621 1 The the DT 39713 3621 2 real real JJ 39713 3621 3 space space NN 39713 3621 4 is be VBZ 39713 3621 5 motor motor NN 39713 3621 6 space space NN 39713 3621 7 and and CC 39713 3621 8 this this DT 39713 3621 9 it -PRON- PRP 39713 3621 10 is be VBZ 39713 3621 11 that that IN 39713 3621 12 we -PRON- PRP 39713 3621 13 shall shall MD 39713 3621 14 examine examine VB 39713 3621 15 in in IN 39713 3621 16 the the DT 39713 3621 17 following follow VBG 39713 3621 18 chapter chapter NN 39713 3621 19 . . . 39713 3622 1 CHAPTER CHAPTER NNP 39713 3622 2 IV IV NNP 39713 3622 3 SPACE SPACE NNP 39713 3622 4 AND and CC 39713 3622 5 ITS its PRP$ 39713 3622 6 THREE three CD 39713 3622 7 DIMENSIONS dimensions NN 39713 3622 8 1 1 CD 39713 3622 9 . . . 39713 3623 1 _ _ NNP 39713 3623 2 The the DT 39713 3623 3 Group Group NNP 39713 3623 4 of of IN 39713 3623 5 Displacements Displacements NNPS 39713 3623 6 _ _ NNP 39713 3623 7 Let let VBP 39713 3623 8 us -PRON- PRP 39713 3623 9 sum sum VB 39713 3623 10 up up RP 39713 3623 11 briefly briefly RB 39713 3623 12 the the DT 39713 3623 13 results result NNS 39713 3623 14 obtained obtain VBD 39713 3623 15 . . . 39713 3624 1 We -PRON- PRP 39713 3624 2 proposed propose VBD 39713 3624 3 to to TO 39713 3624 4 investigate investigate VB 39713 3624 5 what what WP 39713 3624 6 was be VBD 39713 3624 7 meant mean VBN 39713 3624 8 in in IN 39713 3624 9 saying say VBG 39713 3624 10 that that IN 39713 3624 11 space space NN 39713 3624 12 has have VBZ 39713 3624 13 three three CD 39713 3624 14 dimensions dimension NNS 39713 3624 15 and and CC 39713 3624 16 we -PRON- PRP 39713 3624 17 have have VBP 39713 3624 18 asked ask VBN 39713 3624 19 first first RB 39713 3624 20 what what WP 39713 3624 21 is be VBZ 39713 3624 22 a a DT 39713 3624 23 physical physical JJ 39713 3624 24 continuum continuum NN 39713 3624 25 and and CC 39713 3624 26 when when WRB 39713 3624 27 it -PRON- PRP 39713 3624 28 may may MD 39713 3624 29 be be VB 39713 3624 30 said say VBN 39713 3624 31 to to TO 39713 3624 32 have have VB 39713 3624 33 _ _ NNP 39713 3624 34 n n CC 39713 3624 35 _ _ NNP 39713 3624 36 dimensions dimension NNS 39713 3624 37 . . . 39713 3625 1 If if IN 39713 3625 2 we -PRON- PRP 39713 3625 3 consider consider VBP 39713 3625 4 different different JJ 39713 3625 5 systems system NNS 39713 3625 6 of of IN 39713 3625 7 impressions impression NNS 39713 3625 8 and and CC 39713 3625 9 compare compare VB 39713 3625 10 them -PRON- PRP 39713 3625 11 with with IN 39713 3625 12 one one CD 39713 3625 13 another another DT 39713 3625 14 , , , 39713 3625 15 we -PRON- PRP 39713 3625 16 often often RB 39713 3625 17 recognize recognize VBP 39713 3625 18 that that IN 39713 3625 19 two two CD 39713 3625 20 of of IN 39713 3625 21 these these DT 39713 3625 22 systems system NNS 39713 3625 23 of of IN 39713 3625 24 impressions impression NNS 39713 3625 25 are be VBP 39713 3625 26 indistinguishable indistinguishable JJ 39713 3625 27 ( ( -LRB- 39713 3625 28 which which WDT 39713 3625 29 is be VBZ 39713 3625 30 ordinarily ordinarily RB 39713 3625 31 expressed express VBN 39713 3625 32 in in IN 39713 3625 33 saying say VBG 39713 3625 34 that that IN 39713 3625 35 they -PRON- PRP 39713 3625 36 are be VBP 39713 3625 37 too too RB 39713 3625 38 close close JJ 39713 3625 39 to to IN 39713 3625 40 one one CD 39713 3625 41 another another DT 39713 3625 42 , , , 39713 3625 43 and and CC 39713 3625 44 that that IN 39713 3625 45 our -PRON- PRP$ 39713 3625 46 senses sense NNS 39713 3625 47 are be VBP 39713 3625 48 too too RB 39713 3625 49 crude crude JJ 39713 3625 50 , , , 39713 3625 51 for for IN 39713 3625 52 us -PRON- PRP 39713 3625 53 to to TO 39713 3625 54 distinguish distinguish VB 39713 3625 55 them -PRON- PRP 39713 3625 56 ) ) -RRB- 39713 3625 57 and and CC 39713 3625 58 we -PRON- PRP 39713 3625 59 ascertain ascertain VBP 39713 3625 60 besides besides IN 39713 3625 61 that that IN 39713 3625 62 two two CD 39713 3625 63 of of IN 39713 3625 64 these these DT 39713 3625 65 systems system NNS 39713 3625 66 can can MD 39713 3625 67 sometimes sometimes RB 39713 3625 68 be be VB 39713 3625 69 discriminated discriminate VBN 39713 3625 70 from from IN 39713 3625 71 one one CD 39713 3625 72 another another DT 39713 3625 73 though though RB 39713 3625 74 indistinguishable indistinguishable JJ 39713 3625 75 from from IN 39713 3625 76 a a DT 39713 3625 77 third third JJ 39713 3625 78 system system NN 39713 3625 79 . . . 39713 3626 1 In in IN 39713 3626 2 that that DT 39713 3626 3 case case NN 39713 3626 4 we -PRON- PRP 39713 3626 5 say say VBP 39713 3626 6 the the DT 39713 3626 7 manifold manifold NN 39713 3626 8 of of IN 39713 3626 9 these these DT 39713 3626 10 systems system NNS 39713 3626 11 of of IN 39713 3626 12 impressions impression NNS 39713 3626 13 forms form VBZ 39713 3626 14 a a DT 39713 3626 15 physical physical JJ 39713 3626 16 continuum continuum NN 39713 3626 17 _ _ NNP 39713 3626 18 C C NNP 39713 3626 19 _ _ NNP 39713 3626 20 . . . 39713 3627 1 And and CC 39713 3627 2 each each DT 39713 3627 3 of of IN 39713 3627 4 these these DT 39713 3627 5 systems system NNS 39713 3627 6 is be VBZ 39713 3627 7 called call VBN 39713 3627 8 an an DT 39713 3627 9 _ _ NNP 39713 3627 10 element element NN 39713 3627 11 _ _ NNP 39713 3627 12 of of IN 39713 3627 13 the the DT 39713 3627 14 continuum continuum NN 39713 3627 15 _ _ NNP 39713 3627 16 C C NNP 39713 3627 17 _ _ NNP 39713 3627 18 . . . 39713 3628 1 How how WRB 39713 3628 2 many many JJ 39713 3628 3 dimensions dimension NNS 39713 3628 4 has have VBZ 39713 3628 5 this this DT 39713 3628 6 continuum continuum NN 39713 3628 7 ? ? . 39713 3629 1 Take take VB 39713 3629 2 first first JJ 39713 3629 3 two two CD 39713 3629 4 elements element NNS 39713 3629 5 _ _ NNP 39713 3629 6 A A NNP 39713 3629 7 _ _ NNP 39713 3629 8 and and CC 39713 3629 9 _ _ NNP 39713 3629 10 B B NNP 39713 3629 11 _ _ NNP 39713 3629 12 of of IN 39713 3629 13 _ _ NNP 39713 3629 14 C C NNP 39713 3629 15 _ _ NNP 39713 3629 16 , , , 39713 3629 17 and and CC 39713 3629 18 suppose suppose VB 39713 3629 19 there there EX 39713 3629 20 exists exist VBZ 39713 3629 21 a a DT 39713 3629 22 series series NN 39713 3629 23 [ [ -LRB- 39713 3629 24 Sigma Sigma NNP 39713 3629 25 ] ] -RRB- 39713 3629 26 of of IN 39713 3629 27 elements element NNS 39713 3629 28 , , , 39713 3629 29 all all DT 39713 3629 30 belonging belong VBG 39713 3629 31 to to IN 39713 3629 32 the the DT 39713 3629 33 continuum continuum JJ 39713 3629 34 _ _ NNP 39713 3629 35 C C NNP 39713 3629 36 _ _ NNP 39713 3629 37 , , , 39713 3629 38 of of IN 39713 3629 39 such such PDT 39713 3629 40 a a DT 39713 3629 41 sort sort NN 39713 3629 42 that that WDT 39713 3629 43 _ _ NNP 39713 3629 44 A A NNP 39713 3629 45 _ _ NNP 39713 3629 46 and and CC 39713 3629 47 _ _ NNP 39713 3629 48 B B NNP 39713 3629 49 _ _ NNP 39713 3629 50 are be VBP 39713 3629 51 the the DT 39713 3629 52 two two CD 39713 3629 53 extreme extreme JJ 39713 3629 54 terms term NNS 39713 3629 55 of of IN 39713 3629 56 this this DT 39713 3629 57 series series NN 39713 3629 58 and and CC 39713 3629 59 that that IN 39713 3629 60 each each DT 39713 3629 61 term term NN 39713 3629 62 of of IN 39713 3629 63 the the DT 39713 3629 64 series series NN 39713 3629 65 is be VBZ 39713 3629 66 indistinguishable indistinguishable JJ 39713 3629 67 from from IN 39713 3629 68 the the DT 39713 3629 69 preceding precede VBG 39713 3629 70 . . . 39713 3630 1 If if IN 39713 3630 2 such such PDT 39713 3630 3 a a DT 39713 3630 4 series series NN 39713 3630 5 [ [ -LRB- 39713 3630 6 Sigma Sigma NNP 39713 3630 7 ] ] -RRB- 39713 3630 8 can can MD 39713 3630 9 be be VB 39713 3630 10 found find VBN 39713 3630 11 , , , 39713 3630 12 we -PRON- PRP 39713 3630 13 say say VBP 39713 3630 14 that that IN 39713 3630 15 _ _ NNP 39713 3630 16 A A NNP 39713 3630 17 _ _ NNP 39713 3630 18 and and CC 39713 3630 19 _ _ NNP 39713 3630 20 B B NNP 39713 3630 21 _ _ NNP 39713 3630 22 are be VBP 39713 3630 23 joined join VBN 39713 3630 24 to to IN 39713 3630 25 one one CD 39713 3630 26 another another DT 39713 3630 27 ; ; : 39713 3630 28 and and CC 39713 3630 29 if if IN 39713 3630 30 any any DT 39713 3630 31 two two CD 39713 3630 32 elements element NNS 39713 3630 33 of of IN 39713 3630 34 _ _ NNP 39713 3630 35 C C NNP 39713 3630 36 _ _ NNP 39713 3630 37 are be VBP 39713 3630 38 joined join VBN 39713 3630 39 to to IN 39713 3630 40 one one CD 39713 3630 41 another another DT 39713 3630 42 , , , 39713 3630 43 we -PRON- PRP 39713 3630 44 say say VBP 39713 3630 45 that that IN 39713 3630 46 _ _ NNP 39713 3630 47 C C NNP 39713 3630 48 _ _ NNP 39713 3630 49 is be VBZ 39713 3630 50 all all DT 39713 3630 51 of of IN 39713 3630 52 one one CD 39713 3630 53 piece piece NN 39713 3630 54 . . . 39713 3631 1 Now now RB 39713 3631 2 take take VB 39713 3631 3 on on RP 39713 3631 4 the the DT 39713 3631 5 continuum continuum NN 39713 3631 6 _ _ NNP 39713 3631 7 C C NNP 39713 3631 8 _ _ NNP 39713 3631 9 a a DT 39713 3631 10 certain certain JJ 39713 3631 11 number number NN 39713 3631 12 of of IN 39713 3631 13 elements element NNS 39713 3631 14 in in IN 39713 3631 15 a a DT 39713 3631 16 way way NN 39713 3631 17 altogether altogether RB 39713 3631 18 arbitrary arbitrary JJ 39713 3631 19 . . . 39713 3632 1 The the DT 39713 3632 2 aggregate aggregate NN 39713 3632 3 of of IN 39713 3632 4 these these DT 39713 3632 5 elements element NNS 39713 3632 6 will will MD 39713 3632 7 be be VB 39713 3632 8 called call VBN 39713 3632 9 a a DT 39713 3632 10 _ _ NNP 39713 3632 11 cut cut NN 39713 3632 12 _ _ NNP 39713 3632 13 . . . 39713 3633 1 Among among IN 39713 3633 2 the the DT 39713 3633 3 various various JJ 39713 3633 4 series series NN 39713 3633 5 [ [ -LRB- 39713 3633 6 Sigma Sigma NNP 39713 3633 7 ] ] -RRB- 39713 3633 8 which which WDT 39713 3633 9 join join VBP 39713 3633 10 _ _ NNP 39713 3633 11 A A NNP 39713 3633 12 _ _ NNP 39713 3633 13 to to IN 39713 3633 14 _ _ NNP 39713 3633 15 B B NNP 39713 3633 16 _ _ NNP 39713 3633 17 , , , 39713 3633 18 we -PRON- PRP 39713 3633 19 shall shall MD 39713 3633 20 distinguish distinguish VB 39713 3633 21 those those DT 39713 3633 22 of of IN 39713 3633 23 which which WDT 39713 3633 24 an an DT 39713 3633 25 element element NN 39713 3633 26 is be VBZ 39713 3633 27 indistinguishable indistinguishable JJ 39713 3633 28 from from IN 39713 3633 29 one one CD 39713 3633 30 of of IN 39713 3633 31 the the DT 39713 3633 32 elements element NNS 39713 3633 33 of of IN 39713 3633 34 the the DT 39713 3633 35 cut cut NN 39713 3633 36 ( ( -LRB- 39713 3633 37 we -PRON- PRP 39713 3633 38 shall shall MD 39713 3633 39 say say VB 39713 3633 40 that that IN 39713 3633 41 these these DT 39713 3633 42 are be VBP 39713 3633 43 they -PRON- PRP 39713 3633 44 which which WDT 39713 3633 45 _ _ NNP 39713 3633 46 cut cut VBD 39713 3633 47 _ _ NNP 39713 3633 48 the the DT 39713 3633 49 cut cut NN 39713 3633 50 ) ) -RRB- 39713 3633 51 and and CC 39713 3633 52 those those DT 39713 3633 53 of of IN 39713 3633 54 which which WDT 39713 3633 55 _ _ NNP 39713 3633 56 all all DT 39713 3633 57 _ _ NNP 39713 3633 58 the the DT 39713 3633 59 elements element NNS 39713 3633 60 are be VBP 39713 3633 61 distinguishable distinguishable JJ 39713 3633 62 from from IN 39713 3633 63 all all PDT 39713 3633 64 those those DT 39713 3633 65 of of IN 39713 3633 66 the the DT 39713 3633 67 cut cut NN 39713 3633 68 . . . 39713 3634 1 If if IN 39713 3634 2 _ _ NNP 39713 3634 3 all all DT 39713 3634 4 _ _ NNP 39713 3634 5 the the DT 39713 3634 6 series series NN 39713 3634 7 [ [ -LRB- 39713 3634 8 Sigma Sigma NNP 39713 3634 9 ] ] -RRB- 39713 3634 10 which which WDT 39713 3634 11 join join VBP 39713 3634 12 _ _ NNP 39713 3634 13 A A NNP 39713 3634 14 _ _ NNP 39713 3634 15 to to IN 39713 3634 16 _ _ NNP 39713 3634 17 B B NNP 39713 3634 18 _ _ NNP 39713 3634 19 cut cut VBD 39713 3634 20 the the DT 39713 3634 21 cut cut NN 39713 3634 22 , , , 39713 3634 23 we -PRON- PRP 39713 3634 24 shall shall MD 39713 3634 25 say say VB 39713 3634 26 that that IN 39713 3634 27 _ _ NNP 39713 3634 28 A A NNP 39713 3634 29 _ _ NNP 39713 3634 30 and and CC 39713 3634 31 _ _ NNP 39713 3634 32 B B NNP 39713 3634 33 _ _ NNP 39713 3634 34 are be VBP 39713 3634 35 _ _ NNP 39713 3634 36 separated separate VBN 39713 3634 37 _ _ NNP 39713 3634 38 by by IN 39713 3634 39 the the DT 39713 3634 40 cut cut NN 39713 3634 41 , , , 39713 3634 42 and and CC 39713 3634 43 that that IN 39713 3634 44 the the DT 39713 3634 45 cut cut NN 39713 3634 46 _ _ NNP 39713 3634 47 divides divide VBZ 39713 3634 48 _ _ NNP 39713 3634 49 _ _ NNP 39713 3634 50 C C NNP 39713 3634 51 _ _ NNP 39713 3634 52 . . . 39713 3635 1 If if IN 39713 3635 2 we -PRON- PRP 39713 3635 3 can can MD 39713 3635 4 not not RB 39713 3635 5 find find VB 39713 3635 6 on on IN 39713 3635 7 _ _ NNP 39713 3635 8 C C NNP 39713 3635 9 _ _ NNP 39713 3635 10 two two CD 39713 3635 11 elements element NNS 39713 3635 12 which which WDT 39713 3635 13 are be VBP 39713 3635 14 separated separate VBN 39713 3635 15 by by IN 39713 3635 16 the the DT 39713 3635 17 cut cut NN 39713 3635 18 , , , 39713 3635 19 we -PRON- PRP 39713 3635 20 shall shall MD 39713 3635 21 say say VB 39713 3635 22 that that IN 39713 3635 23 the the DT 39713 3635 24 cut cut NN 39713 3635 25 _ _ NNP 39713 3635 26 does do VBZ 39713 3635 27 not not RB 39713 3635 28 divide divide VB 39713 3635 29 _ _ NNP 39713 3635 30 _ _ NNP 39713 3635 31 C C NNP 39713 3635 32 _ _ NNP 39713 3635 33 . . . 39713 3636 1 These these DT 39713 3636 2 definitions definition NNS 39713 3636 3 laid lay VBD 39713 3636 4 down down RP 39713 3636 5 , , , 39713 3636 6 if if IN 39713 3636 7 the the DT 39713 3636 8 continuum continuum NN 39713 3636 9 _ _ NNP 39713 3636 10 C C NNP 39713 3636 11 _ _ NNP 39713 3636 12 can can MD 39713 3636 13 be be VB 39713 3636 14 divided divide VBN 39713 3636 15 by by IN 39713 3636 16 cuts cut NNS 39713 3636 17 which which WDT 39713 3636 18 do do VBP 39713 3636 19 not not RB 39713 3636 20 themselves -PRON- PRP 39713 3636 21 form form VB 39713 3636 22 a a DT 39713 3636 23 continuum continuum NN 39713 3636 24 , , , 39713 3636 25 this this DT 39713 3636 26 continuum continuum NN 39713 3636 27 _ _ NNP 39713 3636 28 C C NNP 39713 3636 29 _ _ NNP 39713 3636 30 has have VBZ 39713 3636 31 only only RB 39713 3636 32 one one CD 39713 3636 33 dimension dimension NN 39713 3636 34 ; ; : 39713 3636 35 in in IN 39713 3636 36 the the DT 39713 3636 37 contrary contrary JJ 39713 3636 38 case case NN 39713 3636 39 it -PRON- PRP 39713 3636 40 has have VBZ 39713 3636 41 several several JJ 39713 3636 42 . . . 39713 3637 1 If if IN 39713 3637 2 a a DT 39713 3637 3 cut cut NN 39713 3637 4 forming form VBG 39713 3637 5 a a DT 39713 3637 6 continuum continuum NN 39713 3637 7 of of IN 39713 3637 8 1 1 CD 39713 3637 9 dimension dimension NN 39713 3637 10 suffices suffice VBZ 39713 3637 11 to to TO 39713 3637 12 divide divide VB 39713 3637 13 _ _ NNP 39713 3637 14 C C NNP 39713 3637 15 _ _ NNP 39713 3637 16 , , , 39713 3637 17 _ _ NNP 39713 3637 18 C C NNP 39713 3637 19 _ _ NNP 39713 3637 20 will will MD 39713 3637 21 have have VB 39713 3637 22 2 2 CD 39713 3637 23 dimensions dimension NNS 39713 3637 24 ; ; : 39713 3637 25 if if IN 39713 3637 26 a a DT 39713 3637 27 cut cut NN 39713 3637 28 forming form VBG 39713 3637 29 a a DT 39713 3637 30 continuum continuum NN 39713 3637 31 of of IN 39713 3637 32 2 2 CD 39713 3637 33 dimensions dimension NNS 39713 3637 34 suffices suffice NNS 39713 3637 35 , , , 39713 3637 36 _ _ NNP 39713 3637 37 C C NNP 39713 3637 38 _ _ NNP 39713 3637 39 will will MD 39713 3637 40 have have VB 39713 3637 41 3 3 CD 39713 3637 42 dimensions dimension NNS 39713 3637 43 , , , 39713 3637 44 etc etc FW 39713 3637 45 . . . 39713 3638 1 Thanks thank NNS 39713 3638 2 to to IN 39713 3638 3 these these DT 39713 3638 4 definitions definition NNS 39713 3638 5 , , , 39713 3638 6 we -PRON- PRP 39713 3638 7 can can MD 39713 3638 8 always always RB 39713 3638 9 recognize recognize VB 39713 3638 10 how how WRB 39713 3638 11 many many JJ 39713 3638 12 dimensions dimension NNS 39713 3638 13 any any DT 39713 3638 14 physical physical JJ 39713 3638 15 continuum continuum NN 39713 3638 16 has have VBZ 39713 3638 17 . . . 39713 3639 1 It -PRON- PRP 39713 3639 2 only only RB 39713 3639 3 remains remain VBZ 39713 3639 4 to to TO 39713 3639 5 find find VB 39713 3639 6 a a DT 39713 3639 7 physical physical JJ 39713 3639 8 continuum continuum NN 39713 3639 9 which which WDT 39713 3639 10 is be VBZ 39713 3639 11 , , , 39713 3639 12 so so RB 39713 3639 13 to to TO 39713 3639 14 speak speak VB 39713 3639 15 , , , 39713 3639 16 equivalent equivalent JJ 39713 3639 17 to to IN 39713 3639 18 space space NN 39713 3639 19 , , , 39713 3639 20 of of IN 39713 3639 21 such such PDT 39713 3639 22 a a DT 39713 3639 23 sort sort NN 39713 3639 24 that that WDT 39713 3639 25 to to IN 39713 3639 26 every every DT 39713 3639 27 point point NN 39713 3639 28 of of IN 39713 3639 29 space space NN 39713 3639 30 corresponds correspond VBZ 39713 3639 31 an an DT 39713 3639 32 element element NN 39713 3639 33 of of IN 39713 3639 34 this this DT 39713 3639 35 continuum continuum NN 39713 3639 36 , , , 39713 3639 37 and and CC 39713 3639 38 that that IN 39713 3639 39 to to IN 39713 3639 40 points point NNS 39713 3639 41 of of IN 39713 3639 42 space space NN 39713 3639 43 very very RB 39713 3639 44 near near IN 39713 3639 45 one one CD 39713 3639 46 another another DT 39713 3639 47 correspond correspond NN 39713 3639 48 indistinguishable indistinguishable JJ 39713 3639 49 elements element NNS 39713 3639 50 . . . 39713 3640 1 Space space NN 39713 3640 2 will will MD 39713 3640 3 have have VB 39713 3640 4 then then RB 39713 3640 5 as as RB 39713 3640 6 many many JJ 39713 3640 7 dimensions dimension NNS 39713 3640 8 as as IN 39713 3640 9 this this DT 39713 3640 10 continuum continuum NN 39713 3640 11 . . . 39713 3641 1 The the DT 39713 3641 2 intermediation intermediation NN 39713 3641 3 of of IN 39713 3641 4 this this DT 39713 3641 5 physical physical JJ 39713 3641 6 continuum continuum NN 39713 3641 7 , , , 39713 3641 8 capable capable JJ 39713 3641 9 of of IN 39713 3641 10 representation representation NN 39713 3641 11 , , , 39713 3641 12 is be VBZ 39713 3641 13 indispensable indispensable JJ 39713 3641 14 ; ; : 39713 3641 15 because because IN 39713 3641 16 we -PRON- PRP 39713 3641 17 can can MD 39713 3641 18 not not RB 39713 3641 19 represent represent VB 39713 3641 20 space space NN 39713 3641 21 to to IN 39713 3641 22 ourselves -PRON- PRP 39713 3641 23 , , , 39713 3641 24 and and CC 39713 3641 25 that that IN 39713 3641 26 for for IN 39713 3641 27 a a DT 39713 3641 28 multitude multitude NN 39713 3641 29 of of IN 39713 3641 30 reasons reason NNS 39713 3641 31 . . . 39713 3642 1 Space space NN 39713 3642 2 is be VBZ 39713 3642 3 a a DT 39713 3642 4 mathematical mathematical JJ 39713 3642 5 continuum continuum NN 39713 3642 6 , , , 39713 3642 7 it -PRON- PRP 39713 3642 8 is be VBZ 39713 3642 9 infinite infinite JJ 39713 3642 10 , , , 39713 3642 11 and and CC 39713 3642 12 we -PRON- PRP 39713 3642 13 can can MD 39713 3642 14 represent represent VB 39713 3642 15 to to IN 39713 3642 16 ourselves -PRON- PRP 39713 3642 17 only only RB 39713 3642 18 physical physical JJ 39713 3642 19 continua continua NN 39713 3642 20 and and CC 39713 3642 21 finite finite JJ 39713 3642 22 objects object NNS 39713 3642 23 . . . 39713 3643 1 The the DT 39713 3643 2 different different JJ 39713 3643 3 elements element NNS 39713 3643 4 of of IN 39713 3643 5 space space NN 39713 3643 6 , , , 39713 3643 7 which which WDT 39713 3643 8 we -PRON- PRP 39713 3643 9 call call VBP 39713 3643 10 points point NNS 39713 3643 11 , , , 39713 3643 12 are be VBP 39713 3643 13 all all RB 39713 3643 14 alike alike RB 39713 3643 15 , , , 39713 3643 16 and and CC 39713 3643 17 , , , 39713 3643 18 to to TO 39713 3643 19 apply apply VB 39713 3643 20 our -PRON- PRP$ 39713 3643 21 definition definition NN 39713 3643 22 , , , 39713 3643 23 it -PRON- PRP 39713 3643 24 is be VBZ 39713 3643 25 necessary necessary JJ 39713 3643 26 that that IN 39713 3643 27 we -PRON- PRP 39713 3643 28 know know VBP 39713 3643 29 how how WRB 39713 3643 30 to to TO 39713 3643 31 distinguish distinguish VB 39713 3643 32 the the DT 39713 3643 33 elements element NNS 39713 3643 34 from from IN 39713 3643 35 one one CD 39713 3643 36 another another DT 39713 3643 37 , , , 39713 3643 38 at at IN 39713 3643 39 least least JJS 39713 3643 40 if if IN 39713 3643 41 they -PRON- PRP 39713 3643 42 are be VBP 39713 3643 43 not not RB 39713 3643 44 too too RB 39713 3643 45 close close JJ 39713 3643 46 . . . 39713 3644 1 Finally finally RB 39713 3644 2 absolute absolute JJ 39713 3644 3 space space NN 39713 3644 4 is be VBZ 39713 3644 5 nonsense nonsense NN 39713 3644 6 , , , 39713 3644 7 and and CC 39713 3644 8 it -PRON- PRP 39713 3644 9 is be VBZ 39713 3644 10 necessary necessary JJ 39713 3644 11 for for IN 39713 3644 12 us -PRON- PRP 39713 3644 13 to to TO 39713 3644 14 begin begin VB 39713 3644 15 by by IN 39713 3644 16 referring refer VBG 39713 3644 17 space space NN 39713 3644 18 to to IN 39713 3644 19 a a DT 39713 3644 20 system system NN 39713 3644 21 of of IN 39713 3644 22 axes axis NNS 39713 3644 23 invariably invariably RB 39713 3644 24 bound bind VBN 39713 3644 25 to to IN 39713 3644 26 our -PRON- PRP$ 39713 3644 27 body body NN 39713 3644 28 ( ( -LRB- 39713 3644 29 which which WDT 39713 3644 30 we -PRON- PRP 39713 3644 31 must must MD 39713 3644 32 always always RB 39713 3644 33 suppose suppose VB 39713 3644 34 put put VBN 39713 3644 35 back back RB 39713 3644 36 in in IN 39713 3644 37 the the DT 39713 3644 38 initial initial JJ 39713 3644 39 attitude attitude NN 39713 3644 40 ) ) -RRB- 39713 3644 41 . . . 39713 3645 1 Then then RB 39713 3645 2 I -PRON- PRP 39713 3645 3 have have VBP 39713 3645 4 sought seek VBN 39713 3645 5 to to TO 39713 3645 6 form form VB 39713 3645 7 with with IN 39713 3645 8 our -PRON- PRP$ 39713 3645 9 visual visual JJ 39713 3645 10 sensations sensation NNS 39713 3645 11 a a DT 39713 3645 12 physical physical JJ 39713 3645 13 continuum continuum NN 39713 3645 14 equivalent equivalent NN 39713 3645 15 to to IN 39713 3645 16 space space NN 39713 3645 17 ; ; : 39713 3645 18 that that DT 39713 3645 19 certainly certainly RB 39713 3645 20 is be VBZ 39713 3645 21 easy easy JJ 39713 3645 22 and and CC 39713 3645 23 this this DT 39713 3645 24 example example NN 39713 3645 25 is be VBZ 39713 3645 26 particularly particularly RB 39713 3645 27 appropriate appropriate JJ 39713 3645 28 for for IN 39713 3645 29 the the DT 39713 3645 30 discussion discussion NN 39713 3645 31 of of IN 39713 3645 32 the the DT 39713 3645 33 number number NN 39713 3645 34 of of IN 39713 3645 35 dimensions dimension NNS 39713 3645 36 ; ; : 39713 3645 37 this this DT 39713 3645 38 discussion discussion NN 39713 3645 39 has have VBZ 39713 3645 40 enabled enable VBN 39713 3645 41 us -PRON- PRP 39713 3645 42 to to TO 39713 3645 43 see see VB 39713 3645 44 in in IN 39713 3645 45 what what WDT 39713 3645 46 measure measure NN 39713 3645 47 it -PRON- PRP 39713 3645 48 is be VBZ 39713 3645 49 allowable allowable JJ 39713 3645 50 to to TO 39713 3645 51 say say VB 39713 3645 52 that that IN 39713 3645 53 ' ' `` 39713 3645 54 visual visual JJ 39713 3645 55 space space NN 39713 3645 56 ' ' '' 39713 3645 57 has have VBZ 39713 3645 58 three three CD 39713 3645 59 dimensions dimension NNS 39713 3645 60 . . . 39713 3646 1 Only only RB 39713 3646 2 this this DT 39713 3646 3 solution solution NN 39713 3646 4 is be VBZ 39713 3646 5 incomplete incomplete JJ 39713 3646 6 and and CC 39713 3646 7 artificial artificial JJ 39713 3646 8 . . . 39713 3647 1 I -PRON- PRP 39713 3647 2 have have VBP 39713 3647 3 explained explain VBN 39713 3647 4 why why WRB 39713 3647 5 , , , 39713 3647 6 and and CC 39713 3647 7 it -PRON- PRP 39713 3647 8 is be VBZ 39713 3647 9 not not RB 39713 3647 10 on on IN 39713 3647 11 visual visual JJ 39713 3647 12 space space NN 39713 3647 13 but but CC 39713 3647 14 on on IN 39713 3647 15 motor motor NN 39713 3647 16 space space NN 39713 3647 17 that that IN 39713 3647 18 it -PRON- PRP 39713 3647 19 is be VBZ 39713 3647 20 necessary necessary JJ 39713 3647 21 to to TO 39713 3647 22 bring bring VB 39713 3647 23 our -PRON- PRP$ 39713 3647 24 efforts effort NNS 39713 3647 25 to to TO 39713 3647 26 bear bear VB 39713 3647 27 . . . 39713 3648 1 I -PRON- PRP 39713 3648 2 have have VBP 39713 3648 3 then then RB 39713 3648 4 recalled recall VBN 39713 3648 5 what what WP 39713 3648 6 is be VBZ 39713 3648 7 the the DT 39713 3648 8 origin origin NN 39713 3648 9 of of IN 39713 3648 10 the the DT 39713 3648 11 distinction distinction NN 39713 3648 12 we -PRON- PRP 39713 3648 13 make make VBP 39713 3648 14 between between IN 39713 3648 15 changes change NNS 39713 3648 16 of of IN 39713 3648 17 position position NN 39713 3648 18 and and CC 39713 3648 19 changes change NNS 39713 3648 20 of of IN 39713 3648 21 state state NN 39713 3648 22 . . . 39713 3649 1 Among among IN 39713 3649 2 the the DT 39713 3649 3 changes change NNS 39713 3649 4 which which WDT 39713 3649 5 occur occur VBP 39713 3649 6 in in IN 39713 3649 7 our -PRON- PRP$ 39713 3649 8 impressions impression NNS 39713 3649 9 , , , 39713 3649 10 we -PRON- PRP 39713 3649 11 distinguish distinguish VBP 39713 3649 12 , , , 39713 3649 13 first first RB 39713 3649 14 the the DT 39713 3649 15 _ _ NNP 39713 3649 16 internal internal JJ 39713 3649 17 _ _ NNP 39713 3649 18 changes change NNS 39713 3649 19 , , , 39713 3649 20 voluntary voluntary JJ 39713 3649 21 and and CC 39713 3649 22 accompanied accompany VBN 39713 3649 23 by by IN 39713 3649 24 muscular muscular JJ 39713 3649 25 sensations sensation NNS 39713 3649 26 , , , 39713 3649 27 and and CC 39713 3649 28 the the DT 39713 3649 29 _ _ NNP 39713 3649 30 external external JJ 39713 3649 31 _ _ NNP 39713 3649 32 changes change NNS 39713 3649 33 , , , 39713 3649 34 having have VBG 39713 3649 35 opposite opposite JJ 39713 3649 36 characteristics characteristic NNS 39713 3649 37 . . . 39713 3650 1 We -PRON- PRP 39713 3650 2 ascertain ascertain VBP 39713 3650 3 that that IN 39713 3650 4 it -PRON- PRP 39713 3650 5 may may MD 39713 3650 6 happen happen VB 39713 3650 7 that that IN 39713 3650 8 an an DT 39713 3650 9 external external JJ 39713 3650 10 change change NN 39713 3650 11 may may MD 39713 3650 12 be be VB 39713 3650 13 _ _ NNP 39713 3650 14 corrected correct VBN 39713 3650 15 _ _ NNP 39713 3650 16 by by IN 39713 3650 17 an an DT 39713 3650 18 internal internal JJ 39713 3650 19 change change NN 39713 3650 20 which which WDT 39713 3650 21 reestablishes reestablish VBZ 39713 3650 22 the the DT 39713 3650 23 primitive primitive JJ 39713 3650 24 sensations sensation NNS 39713 3650 25 . . . 39713 3651 1 The the DT 39713 3651 2 external external JJ 39713 3651 3 changes change NNS 39713 3651 4 , , , 39713 3651 5 capable capable JJ 39713 3651 6 of of IN 39713 3651 7 being be VBG 39713 3651 8 corrected correct VBN 39713 3651 9 by by IN 39713 3651 10 an an DT 39713 3651 11 internal internal JJ 39713 3651 12 change change NN 39713 3651 13 are be VBP 39713 3651 14 called call VBN 39713 3651 15 _ _ NNP 39713 3651 16 changes change NNS 39713 3651 17 of of IN 39713 3651 18 position position NN 39713 3651 19 _ _ NNP 39713 3651 20 , , , 39713 3651 21 those those DT 39713 3651 22 not not RB 39713 3651 23 capable capable JJ 39713 3651 24 of of IN 39713 3651 25 it -PRON- PRP 39713 3651 26 are be VBP 39713 3651 27 called call VBN 39713 3651 28 _ _ NNP 39713 3651 29 changes change NNS 39713 3651 30 of of IN 39713 3651 31 state state NN 39713 3651 32 _ _ NNP 39713 3651 33 . . . 39713 3652 1 The the DT 39713 3652 2 internal internal JJ 39713 3652 3 changes change NNS 39713 3652 4 capable capable JJ 39713 3652 5 of of IN 39713 3652 6 correcting correct VBG 39713 3652 7 an an DT 39713 3652 8 external external JJ 39713 3652 9 change change NN 39713 3652 10 are be VBP 39713 3652 11 called call VBN 39713 3652 12 _ _ NNP 39713 3652 13 displacements displacement NNS 39713 3652 14 of of IN 39713 3652 15 the the DT 39713 3652 16 whole whole JJ 39713 3652 17 body body NN 39713 3652 18 _ _ NNP 39713 3652 19 ; ; : 39713 3652 20 the the DT 39713 3652 21 others other NNS 39713 3652 22 are be VBP 39713 3652 23 called call VBN 39713 3652 24 _ _ NNP 39713 3652 25 changes change NNS 39713 3652 26 of of IN 39713 3652 27 attitude attitude NN 39713 3652 28 _ _ NNP 39713 3652 29 . . . 39713 3653 1 Now now RB 39713 3653 2 let let VB 39713 3653 3 [ [ -LRB- 39713 3653 4 alpha alpha NN 39713 3653 5 ] ] -RRB- 39713 3653 6 and and CC 39713 3653 7 [ [ -LRB- 39713 3653 8 beta beta NN 39713 3653 9 ] ] -RRB- 39713 3653 10 be be VB 39713 3653 11 two two CD 39713 3653 12 external external JJ 39713 3653 13 changes change NNS 39713 3653 14 , , , 39713 3653 15 [ [ -LRB- 39713 3653 16 alpha alpha NN 39713 3653 17 ] ] -RRB- 39713 3653 18 ' ' '' 39713 3653 19 and and CC 39713 3653 20 [ [ -LRB- 39713 3653 21 beta beta NN 39713 3653 22 ] ] -RRB- 39713 3653 23 ' ' CD 39713 3653 24 two two CD 39713 3653 25 internal internal JJ 39713 3653 26 changes change NNS 39713 3653 27 . . . 39713 3654 1 Suppose suppose VB 39713 3654 2 that that IN 39713 3654 3 a a DT 39713 3654 4 may may MD 39713 3654 5 be be VB 39713 3654 6 corrected correct VBN 39713 3654 7 either either CC 39713 3654 8 by by IN 39713 3654 9 [ [ -LRB- 39713 3654 10 alpha alpha NN 39713 3654 11 ] ] -RRB- 39713 3654 12 ' ' '' 39713 3654 13 or or CC 39713 3654 14 by by IN 39713 3654 15 [ [ -LRB- 39713 3654 16 beta beta NN 39713 3654 17 ] ] -RRB- 39713 3654 18 ' ' '' 39713 3654 19 , , , 39713 3654 20 and and CC 39713 3654 21 that that IN 39713 3654 22 [ [ -LRB- 39713 3654 23 alpha alpha NN 39713 3654 24 ] ] -RRB- 39713 3654 25 ' ' '' 39713 3654 26 can can MD 39713 3654 27 correct correct VB 39713 3654 28 either either CC 39713 3654 29 [ [ -LRB- 39713 3654 30 alpha alpha NN 39713 3654 31 ] ] -RRB- 39713 3654 32 or or CC 39713 3654 33 [ [ -LRB- 39713 3654 34 beta beta NN 39713 3654 35 ] ] -RRB- 39713 3654 36 ; ; : 39713 3654 37 experience experience NN 39713 3654 38 tells tell VBZ 39713 3654 39 us -PRON- PRP 39713 3654 40 then then RB 39713 3654 41 that that IN 39713 3654 42 [ [ -LRB- 39713 3654 43 beta beta NN 39713 3654 44 ] ] -RRB- 39713 3654 45 ' ' '' 39713 3654 46 can can MD 39713 3654 47 likewise likewise RB 39713 3654 48 correct correct VB 39713 3654 49 [ [ -LRB- 39713 3654 50 beta beta NN 39713 3654 51 ] ] -RRB- 39713 3654 52 . . . 39713 3655 1 In in IN 39713 3655 2 this this DT 39713 3655 3 case case NN 39713 3655 4 we -PRON- PRP 39713 3655 5 say say VBP 39713 3655 6 that that IN 39713 3655 7 [ [ -LRB- 39713 3655 8 alpha alpha NN 39713 3655 9 ] ] -RRB- 39713 3655 10 and and CC 39713 3655 11 [ [ -LRB- 39713 3655 12 beta beta NN 39713 3655 13 ] ] -RRB- 39713 3655 14 correspond correspond VB 39713 3655 15 to to IN 39713 3655 16 the the DT 39713 3655 17 _ _ NNP 39713 3655 18 same same JJ 39713 3655 19 _ _ NNP 39713 3655 20 displacement displacement NN 39713 3655 21 and and CC 39713 3655 22 also also RB 39713 3655 23 that that IN 39713 3655 24 [ [ -LRB- 39713 3655 25 alpha alpha NN 39713 3655 26 ] ] -RRB- 39713 3655 27 ' ' '' 39713 3655 28 and and CC 39713 3655 29 [ [ -LRB- 39713 3655 30 beta beta NN 39713 3655 31 ] ] -RRB- 39713 3655 32 ' ' `` 39713 3655 33 correspond correspond NN 39713 3655 34 to to IN 39713 3655 35 the the DT 39713 3655 36 _ _ NNP 39713 3655 37 same same JJ 39713 3655 38 _ _ NNP 39713 3655 39 displacement displacement NN 39713 3655 40 . . . 39713 3656 1 That that DT 39713 3656 2 postulated postulate VBN 39713 3656 3 , , , 39713 3656 4 we -PRON- PRP 39713 3656 5 can can MD 39713 3656 6 imagine imagine VB 39713 3656 7 a a DT 39713 3656 8 physical physical JJ 39713 3656 9 continuum continuum NN 39713 3656 10 which which WDT 39713 3656 11 we -PRON- PRP 39713 3656 12 shall shall MD 39713 3656 13 call call VB 39713 3656 14 _ _ NNP 39713 3656 15 the the DT 39713 3656 16 continuum continuum NN 39713 3656 17 or or CC 39713 3656 18 group group NN 39713 3656 19 of of IN 39713 3656 20 displacements displacement NNS 39713 3656 21 _ _ NNP 39713 3656 22 and and CC 39713 3656 23 which which WDT 39713 3656 24 we -PRON- PRP 39713 3656 25 shall shall MD 39713 3656 26 define define VB 39713 3656 27 in in IN 39713 3656 28 the the DT 39713 3656 29 following follow VBG 39713 3656 30 manner manner NN 39713 3656 31 . . . 39713 3657 1 The the DT 39713 3657 2 elements element NNS 39713 3657 3 of of IN 39713 3657 4 this this DT 39713 3657 5 continuum continuum NN 39713 3657 6 shall shall MD 39713 3657 7 be be VB 39713 3657 8 the the DT 39713 3657 9 internal internal JJ 39713 3657 10 changes change NNS 39713 3657 11 capable capable JJ 39713 3657 12 of of IN 39713 3657 13 correcting correct VBG 39713 3657 14 an an DT 39713 3657 15 external external JJ 39713 3657 16 change change NN 39713 3657 17 . . . 39713 3658 1 Two two CD 39713 3658 2 of of IN 39713 3658 3 these these DT 39713 3658 4 internal internal JJ 39713 3658 5 changes change NNS 39713 3658 6 [ [ -LRB- 39713 3658 7 alpha alpha NN 39713 3658 8 ] ] -RRB- 39713 3658 9 ' ' '' 39713 3658 10 and and CC 39713 3658 11 [ [ -LRB- 39713 3658 12 beta beta NN 39713 3658 13 ] ] -RRB- 39713 3658 14 ' ' `` 39713 3658 15 shall shall MD 39713 3658 16 be be VB 39713 3658 17 regarded regard VBN 39713 3658 18 as as IN 39713 3658 19 indistinguishable indistinguishable JJ 39713 3658 20 : : : 39713 3658 21 ( ( -LRB- 39713 3658 22 1 1 LS 39713 3658 23 ) ) -RRB- 39713 3658 24 if if IN 39713 3658 25 they -PRON- PRP 39713 3658 26 are be VBP 39713 3658 27 so so RB 39713 3658 28 naturally naturally RB 39713 3658 29 , , , 39713 3658 30 that that RB 39713 3658 31 is is RB 39713 3658 32 , , , 39713 3658 33 if if IN 39713 3658 34 they -PRON- PRP 39713 3658 35 are be VBP 39713 3658 36 too too RB 39713 3658 37 close close JJ 39713 3658 38 to to IN 39713 3658 39 one one CD 39713 3658 40 another another DT 39713 3658 41 ; ; : 39713 3658 42 ( ( -LRB- 39713 3658 43 2 2 LS 39713 3658 44 ) ) -RRB- 39713 3658 45 if if IN 39713 3658 46 [ [ -LRB- 39713 3658 47 alpha alpha NN 39713 3658 48 ] ] -RRB- 39713 3658 49 ' ' '' 39713 3658 50 is be VBZ 39713 3658 51 capable capable JJ 39713 3658 52 of of IN 39713 3658 53 correcting correct VBG 39713 3658 54 the the DT 39713 3658 55 same same JJ 39713 3658 56 external external JJ 39713 3658 57 change change NN 39713 3658 58 as as IN 39713 3658 59 a a DT 39713 3658 60 third third JJ 39713 3658 61 internal internal JJ 39713 3658 62 change change NN 39713 3658 63 naturally naturally RB 39713 3658 64 indistinguishable indistinguishable JJ 39713 3658 65 from from IN 39713 3658 66 [ [ -LRB- 39713 3658 67 beta beta NN 39713 3658 68 ] ] -RRB- 39713 3658 69 ' ' '' 39713 3658 70 . . . 39713 3659 1 In in IN 39713 3659 2 this this DT 39713 3659 3 second second JJ 39713 3659 4 case case NN 39713 3659 5 , , , 39713 3659 6 they -PRON- PRP 39713 3659 7 will will MD 39713 3659 8 be be VB 39713 3659 9 , , , 39713 3659 10 so so RB 39713 3659 11 to to TO 39713 3659 12 speak speak VB 39713 3659 13 , , , 39713 3659 14 indistinguishable indistinguishable JJ 39713 3659 15 by by IN 39713 3659 16 convention convention NN 39713 3659 17 , , , 39713 3659 18 I -PRON- PRP 39713 3659 19 mean mean VBP 39713 3659 20 by by IN 39713 3659 21 agreeing agree VBG 39713 3659 22 to to IN 39713 3659 23 disregard disregard NN 39713 3659 24 circumstances circumstance NNS 39713 3659 25 which which WDT 39713 3659 26 might may MD 39713 3659 27 distinguish distinguish VB 39713 3659 28 them -PRON- PRP 39713 3659 29 . . . 39713 3660 1 Our -PRON- PRP$ 39713 3660 2 continuum continuum NN 39713 3660 3 is be VBZ 39713 3660 4 now now RB 39713 3660 5 entirely entirely RB 39713 3660 6 defined define VBN 39713 3660 7 , , , 39713 3660 8 since since IN 39713 3660 9 we -PRON- PRP 39713 3660 10 know know VBP 39713 3660 11 its -PRON- PRP$ 39713 3660 12 elements element NNS 39713 3660 13 and and CC 39713 3660 14 have have VBP 39713 3660 15 fixed fix VBN 39713 3660 16 under under IN 39713 3660 17 what what WDT 39713 3660 18 conditions condition NNS 39713 3660 19 they -PRON- PRP 39713 3660 20 may may MD 39713 3660 21 be be VB 39713 3660 22 regarded regard VBN 39713 3660 23 as as IN 39713 3660 24 indistinguishable indistinguishable JJ 39713 3660 25 . . . 39713 3661 1 We -PRON- PRP 39713 3661 2 thus thus RB 39713 3661 3 have have VBP 39713 3661 4 all all DT 39713 3661 5 that that WDT 39713 3661 6 is be VBZ 39713 3661 7 necessary necessary JJ 39713 3661 8 to to TO 39713 3661 9 apply apply VB 39713 3661 10 our -PRON- PRP$ 39713 3661 11 definition definition NN 39713 3661 12 and and CC 39713 3661 13 determine determine VB 39713 3661 14 how how WRB 39713 3661 15 many many JJ 39713 3661 16 dimensions dimension NNS 39713 3661 17 this this DT 39713 3661 18 continuum continuum NN 39713 3661 19 has have VBZ 39713 3661 20 . . . 39713 3662 1 We -PRON- PRP 39713 3662 2 shall shall MD 39713 3662 3 recognize recognize VB 39713 3662 4 that that IN 39713 3662 5 it -PRON- PRP 39713 3662 6 has have VBZ 39713 3662 7 _ _ NNP 39713 3662 8 six six CD 39713 3662 9 _ _ NNP 39713 3662 10 . . . 39713 3663 1 The the DT 39713 3663 2 continuum continuum NN 39713 3663 3 of of IN 39713 3663 4 displacements displacement NNS 39713 3663 5 is be VBZ 39713 3663 6 , , , 39713 3663 7 therefore therefore RB 39713 3663 8 , , , 39713 3663 9 not not RB 39713 3663 10 equivalent equivalent JJ 39713 3663 11 to to IN 39713 3663 12 space space NN 39713 3663 13 , , , 39713 3663 14 since since IN 39713 3663 15 the the DT 39713 3663 16 number number NN 39713 3663 17 of of IN 39713 3663 18 dimensions dimension NNS 39713 3663 19 is be VBZ 39713 3663 20 not not RB 39713 3663 21 the the DT 39713 3663 22 same same JJ 39713 3663 23 ; ; : 39713 3663 24 it -PRON- PRP 39713 3663 25 is be VBZ 39713 3663 26 only only RB 39713 3663 27 related relate VBN 39713 3663 28 to to IN 39713 3663 29 space space NN 39713 3663 30 . . . 39713 3664 1 Now now RB 39713 3664 2 how how WRB 39713 3664 3 do do VBP 39713 3664 4 we -PRON- PRP 39713 3664 5 know know VB 39713 3664 6 that that IN 39713 3664 7 this this DT 39713 3664 8 continuum continuum NN 39713 3664 9 of of IN 39713 3664 10 displacements displacement NNS 39713 3664 11 has have VBZ 39713 3664 12 six six CD 39713 3664 13 dimensions dimension NNS 39713 3664 14 ? ? . 39713 3665 1 We -PRON- PRP 39713 3665 2 know know VBP 39713 3665 3 it -PRON- PRP 39713 3665 4 _ _ NNP 39713 3665 5 by by IN 39713 3665 6 experience experience NN 39713 3665 7 _ _ NNP 39713 3665 8 . . . 39713 3666 1 It -PRON- PRP 39713 3666 2 would would MD 39713 3666 3 be be VB 39713 3666 4 easy easy JJ 39713 3666 5 to to TO 39713 3666 6 describe describe VB 39713 3666 7 the the DT 39713 3666 8 experiments experiment NNS 39713 3666 9 by by IN 39713 3666 10 which which WDT 39713 3666 11 we -PRON- PRP 39713 3666 12 could could MD 39713 3666 13 arrive arrive VB 39713 3666 14 at at IN 39713 3666 15 this this DT 39713 3666 16 result result NN 39713 3666 17 . . . 39713 3667 1 It -PRON- PRP 39713 3667 2 would would MD 39713 3667 3 be be VB 39713 3667 4 seen see VBN 39713 3667 5 that that IN 39713 3667 6 in in IN 39713 3667 7 this this DT 39713 3667 8 continuum continuum JJ 39713 3667 9 cuts cut NNS 39713 3667 10 can can MD 39713 3667 11 be be VB 39713 3667 12 made make VBN 39713 3667 13 which which WDT 39713 3667 14 divide divide VB 39713 3667 15 it -PRON- PRP 39713 3667 16 and and CC 39713 3667 17 which which WDT 39713 3667 18 are be VBP 39713 3667 19 continua continua JJ 39713 3667 20 ; ; : 39713 3667 21 that that IN 39713 3667 22 these these DT 39713 3667 23 cuts cut NNS 39713 3667 24 themselves -PRON- PRP 39713 3667 25 can can MD 39713 3667 26 be be VB 39713 3667 27 divided divide VBN 39713 3667 28 by by IN 39713 3667 29 other other JJ 39713 3667 30 cuts cut NNS 39713 3667 31 of of IN 39713 3667 32 the the DT 39713 3667 33 second second JJ 39713 3667 34 order order NN 39713 3667 35 which which WDT 39713 3667 36 yet yet RB 39713 3667 37 are be VBP 39713 3667 38 continua continua JJ 39713 3667 39 , , , 39713 3667 40 and and CC 39713 3667 41 that that IN 39713 3667 42 this this DT 39713 3667 43 would would MD 39713 3667 44 stop stop VB 39713 3667 45 only only RB 39713 3667 46 after after IN 39713 3667 47 cuts cut NNS 39713 3667 48 of of IN 39713 3667 49 the the DT 39713 3667 50 sixth sixth JJ 39713 3667 51 order order NN 39713 3667 52 which which WDT 39713 3667 53 would would MD 39713 3667 54 no no RB 39713 3667 55 longer longer RB 39713 3667 56 be be VB 39713 3667 57 continua continua JJ 39713 3667 58 . . . 39713 3668 1 From from IN 39713 3668 2 our -PRON- PRP$ 39713 3668 3 definitions definition NNS 39713 3668 4 that that WDT 39713 3668 5 would would MD 39713 3668 6 mean mean VB 39713 3668 7 that that IN 39713 3668 8 the the DT 39713 3668 9 group group NN 39713 3668 10 of of IN 39713 3668 11 displacements displacement NNS 39713 3668 12 has have VBZ 39713 3668 13 six six CD 39713 3668 14 dimensions dimension NNS 39713 3668 15 . . . 39713 3669 1 That that DT 39713 3669 2 would would MD 39713 3669 3 be be VB 39713 3669 4 easy easy JJ 39713 3669 5 , , , 39713 3669 6 I -PRON- PRP 39713 3669 7 have have VBP 39713 3669 8 said say VBD 39713 3669 9 , , , 39713 3669 10 but but CC 39713 3669 11 that that DT 39713 3669 12 would would MD 39713 3669 13 be be VB 39713 3669 14 rather rather RB 39713 3669 15 long long JJ 39713 3669 16 ; ; : 39713 3669 17 and and CC 39713 3669 18 would would MD 39713 3669 19 it -PRON- PRP 39713 3669 20 not not RB 39713 3669 21 be be VB 39713 3669 22 a a DT 39713 3669 23 little little JJ 39713 3669 24 superficial superficial JJ 39713 3669 25 ? ? . 39713 3670 1 This this DT 39713 3670 2 group group NN 39713 3670 3 of of IN 39713 3670 4 displacements displacement NNS 39713 3670 5 , , , 39713 3670 6 we -PRON- PRP 39713 3670 7 have have VBP 39713 3670 8 seen see VBN 39713 3670 9 , , , 39713 3670 10 is be VBZ 39713 3670 11 related relate VBN 39713 3670 12 to to IN 39713 3670 13 space space NN 39713 3670 14 , , , 39713 3670 15 and and CC 39713 3670 16 space space NN 39713 3670 17 could could MD 39713 3670 18 be be VB 39713 3670 19 deduced deduce VBN 39713 3670 20 from from IN 39713 3670 21 it -PRON- PRP 39713 3670 22 , , , 39713 3670 23 but but CC 39713 3670 24 it -PRON- PRP 39713 3670 25 is be VBZ 39713 3670 26 not not RB 39713 3670 27 equivalent equivalent JJ 39713 3670 28 to to IN 39713 3670 29 space space NN 39713 3670 30 , , , 39713 3670 31 since since IN 39713 3670 32 it -PRON- PRP 39713 3670 33 has have VBZ 39713 3670 34 not not RB 39713 3670 35 the the DT 39713 3670 36 same same JJ 39713 3670 37 number number NN 39713 3670 38 of of IN 39713 3670 39 dimensions dimension NNS 39713 3670 40 ; ; : 39713 3670 41 and and CC 39713 3670 42 when when WRB 39713 3670 43 we -PRON- PRP 39713 3670 44 shall shall MD 39713 3670 45 have have VB 39713 3670 46 shown show VBN 39713 3670 47 how how WRB 39713 3670 48 the the DT 39713 3670 49 notion notion NN 39713 3670 50 of of IN 39713 3670 51 this this DT 39713 3670 52 continuum continuum NN 39713 3670 53 can can MD 39713 3670 54 be be VB 39713 3670 55 formed form VBN 39713 3670 56 and and CC 39713 3670 57 how how WRB 39713 3670 58 that that DT 39713 3670 59 of of IN 39713 3670 60 space space NN 39713 3670 61 may may MD 39713 3670 62 be be VB 39713 3670 63 deduced deduce VBN 39713 3670 64 from from IN 39713 3670 65 it -PRON- PRP 39713 3670 66 , , , 39713 3670 67 it -PRON- PRP 39713 3670 68 might may MD 39713 3670 69 always always RB 39713 3670 70 be be VB 39713 3670 71 asked ask VBN 39713 3670 72 why why WRB 39713 3670 73 space space NN 39713 3670 74 of of IN 39713 3670 75 three three CD 39713 3670 76 dimensions dimension NNS 39713 3670 77 is be VBZ 39713 3670 78 much much RB 39713 3670 79 more more RBR 39713 3670 80 familiar familiar JJ 39713 3670 81 to to IN 39713 3670 82 us -PRON- PRP 39713 3670 83 than than IN 39713 3670 84 this this DT 39713 3670 85 continuum continuum NN 39713 3670 86 of of IN 39713 3670 87 six six CD 39713 3670 88 dimensions dimension NNS 39713 3670 89 , , , 39713 3670 90 and and CC 39713 3670 91 consequently consequently RB 39713 3670 92 doubted doubt VBN 39713 3670 93 whether whether IN 39713 3670 94 it -PRON- PRP 39713 3670 95 was be VBD 39713 3670 96 by by IN 39713 3670 97 this this DT 39713 3670 98 detour detour NN 39713 3670 99 that that WDT 39713 3670 100 the the DT 39713 3670 101 notion notion NN 39713 3670 102 of of IN 39713 3670 103 space space NN 39713 3670 104 was be VBD 39713 3670 105 formed form VBN 39713 3670 106 in in IN 39713 3670 107 the the DT 39713 3670 108 human human JJ 39713 3670 109 mind mind NN 39713 3670 110 . . . 39713 3671 1 2 2 LS 39713 3671 2 . . . 39713 3672 1 _ _ NNP 39713 3672 2 Identity Identity NNP 39713 3672 3 of of IN 39713 3672 4 Two Two NNP 39713 3672 5 Points Points NNPS 39713 3672 6 _ _ NNP 39713 3672 7 What what WP 39713 3672 8 is be VBZ 39713 3672 9 a a DT 39713 3672 10 point point NN 39713 3672 11 ? ? . 39713 3673 1 How how WRB 39713 3673 2 do do VBP 39713 3673 3 we -PRON- PRP 39713 3673 4 know know VB 39713 3673 5 whether whether IN 39713 3673 6 two two CD 39713 3673 7 points point NNS 39713 3673 8 of of IN 39713 3673 9 space space NN 39713 3673 10 are be VBP 39713 3673 11 identical identical JJ 39713 3673 12 or or CC 39713 3673 13 different different JJ 39713 3673 14 ? ? . 39713 3674 1 Or or CC 39713 3674 2 , , , 39713 3674 3 in in IN 39713 3674 4 other other JJ 39713 3674 5 words word NNS 39713 3674 6 , , , 39713 3674 7 when when WRB 39713 3674 8 I -PRON- PRP 39713 3674 9 say say VBP 39713 3674 10 : : : 39713 3674 11 The the DT 39713 3674 12 object object NN 39713 3674 13 _ _ NNP 39713 3674 14 A A NNP 39713 3674 15 _ _ NNP 39713 3674 16 occupied occupy VBN 39713 3674 17 at at IN 39713 3674 18 the the DT 39713 3674 19 instant instant NN 39713 3674 20 [ [ -LRB- 39713 3674 21 alpha alpha NN 39713 3674 22 ] ] -RRB- 39713 3674 23 the the DT 39713 3674 24 point point NN 39713 3674 25 which which WDT 39713 3674 26 the the DT 39713 3674 27 object object NN 39713 3674 28 _ _ NNP 39713 3674 29 B B NNP 39713 3674 30 _ _ NNP 39713 3674 31 occupies occupy VBZ 39713 3674 32 at at IN 39713 3674 33 the the DT 39713 3674 34 instant instant NN 39713 3674 35 [ [ -LRB- 39713 3674 36 beta beta NN 39713 3674 37 ] ] -RRB- 39713 3674 38 , , , 39713 3674 39 what what WP 39713 3674 40 does do VBZ 39713 3674 41 that that DT 39713 3674 42 mean mean VB 39713 3674 43 ? ? . 39713 3675 1 Such such JJ 39713 3675 2 is be VBZ 39713 3675 3 the the DT 39713 3675 4 problem problem NN 39713 3675 5 we -PRON- PRP 39713 3675 6 set set VBD 39713 3675 7 ourselves -PRON- PRP 39713 3675 8 in in IN 39713 3675 9 the the DT 39713 3675 10 preceding precede VBG 39713 3675 11 chapter chapter NN 39713 3675 12 , , , 39713 3675 13 § § ADD 39713 3675 14 4 4 CD 39713 3675 15 . . . 39713 3676 1 As as IN 39713 3676 2 I -PRON- PRP 39713 3676 3 have have VBP 39713 3676 4 explained explain VBN 39713 3676 5 it -PRON- PRP 39713 3676 6 , , , 39713 3676 7 it -PRON- PRP 39713 3676 8 is be VBZ 39713 3676 9 not not RB 39713 3676 10 a a DT 39713 3676 11 question question NN 39713 3676 12 of of IN 39713 3676 13 comparing compare VBG 39713 3676 14 the the DT 39713 3676 15 positions position NNS 39713 3676 16 of of IN 39713 3676 17 the the DT 39713 3676 18 objects object NNS 39713 3676 19 _ _ NNP 39713 3676 20 A A NNP 39713 3676 21 _ _ NNP 39713 3676 22 and and CC 39713 3676 23 _ _ NNP 39713 3676 24 B B NNP 39713 3676 25 _ _ NNP 39713 3676 26 in in IN 39713 3676 27 absolute absolute JJ 39713 3676 28 space space NN 39713 3676 29 ; ; : 39713 3676 30 the the DT 39713 3676 31 question question NN 39713 3676 32 then then RB 39713 3676 33 would would MD 39713 3676 34 manifestly manifestly RB 39713 3676 35 have have VB 39713 3676 36 no no DT 39713 3676 37 meaning meaning NN 39713 3676 38 . . . 39713 3677 1 It -PRON- PRP 39713 3677 2 is be VBZ 39713 3677 3 a a DT 39713 3677 4 question question NN 39713 3677 5 of of IN 39713 3677 6 comparing compare VBG 39713 3677 7 the the DT 39713 3677 8 positions position NNS 39713 3677 9 of of IN 39713 3677 10 these these DT 39713 3677 11 two two CD 39713 3677 12 objects object NNS 39713 3677 13 with with IN 39713 3677 14 regard regard NN 39713 3677 15 to to IN 39713 3677 16 axes axis NNS 39713 3677 17 invariably invariably RB 39713 3677 18 bound bind VBN 39713 3677 19 to to IN 39713 3677 20 my -PRON- PRP$ 39713 3677 21 body body NN 39713 3677 22 , , , 39713 3677 23 supposing suppose VBG 39713 3677 24 always always RB 39713 3677 25 this this DT 39713 3677 26 body body NN 39713 3677 27 replaced replace VBD 39713 3677 28 in in IN 39713 3677 29 the the DT 39713 3677 30 same same JJ 39713 3677 31 attitude attitude NN 39713 3677 32 . . . 39713 3678 1 I -PRON- PRP 39713 3678 2 suppose suppose VBP 39713 3678 3 that that IN 39713 3678 4 between between IN 39713 3678 5 the the DT 39713 3678 6 instants instant NNS 39713 3678 7 [ [ -LRB- 39713 3678 8 alpha alpha NN 39713 3678 9 ] ] -RRB- 39713 3678 10 and and CC 39713 3678 11 [ [ -LRB- 39713 3678 12 beta beta NN 39713 3678 13 ] ] -RRB- 39713 3678 14 I -PRON- PRP 39713 3678 15 have have VBP 39713 3678 16 moved move VBN 39713 3678 17 neither neither CC 39713 3678 18 my -PRON- PRP$ 39713 3678 19 body body NN 39713 3678 20 nor nor CC 39713 3678 21 my -PRON- PRP$ 39713 3678 22 eye eye NN 39713 3678 23 , , , 39713 3678 24 as as IN 39713 3678 25 I -PRON- PRP 39713 3678 26 know know VBP 39713 3678 27 from from IN 39713 3678 28 my -PRON- PRP$ 39713 3678 29 muscular muscular JJ 39713 3678 30 sense sense NN 39713 3678 31 . . . 39713 3679 1 Nor nor CC 39713 3679 2 have have VBP 39713 3679 3 I -PRON- PRP 39713 3679 4 moved move VBN 39713 3679 5 either either CC 39713 3679 6 my -PRON- PRP$ 39713 3679 7 head head NN 39713 3679 8 , , , 39713 3679 9 my -PRON- PRP$ 39713 3679 10 arm arm NN 39713 3679 11 or or CC 39713 3679 12 my -PRON- PRP$ 39713 3679 13 hand hand NN 39713 3679 14 . . . 39713 3680 1 I -PRON- PRP 39713 3680 2 ascertain ascertain VBP 39713 3680 3 that that IN 39713 3680 4 at at IN 39713 3680 5 the the DT 39713 3680 6 instant instant NN 39713 3680 7 [ [ -LRB- 39713 3680 8 alpha alpha NN 39713 3680 9 ] ] -RRB- 39713 3680 10 impressions impression NNS 39713 3680 11 that that WDT 39713 3680 12 I -PRON- PRP 39713 3680 13 attributed attribute VBD 39713 3680 14 to to IN 39713 3680 15 the the DT 39713 3680 16 object object NN 39713 3680 17 _ _ NNP 39713 3680 18 A A NNP 39713 3680 19 _ _ NNP 39713 3680 20 were be VBD 39713 3680 21 transmitted transmit VBN 39713 3680 22 to to IN 39713 3680 23 me -PRON- PRP 39713 3680 24 , , , 39713 3680 25 some some DT 39713 3680 26 by by IN 39713 3680 27 one one CD 39713 3680 28 of of IN 39713 3680 29 the the DT 39713 3680 30 fibers fiber NNS 39713 3680 31 of of IN 39713 3680 32 my -PRON- PRP$ 39713 3680 33 optic optic JJ 39713 3680 34 nerve nerve NN 39713 3680 35 , , , 39713 3680 36 the the DT 39713 3680 37 others other NNS 39713 3680 38 by by IN 39713 3680 39 one one CD 39713 3680 40 of of IN 39713 3680 41 the the DT 39713 3680 42 sensitive sensitive JJ 39713 3680 43 tactile tactile NN 39713 3680 44 nerves nerve NNS 39713 3680 45 of of IN 39713 3680 46 my -PRON- PRP$ 39713 3680 47 finger finger NN 39713 3680 48 ; ; : 39713 3680 49 I -PRON- PRP 39713 3680 50 ascertain ascertain VBP 39713 3680 51 that that IN 39713 3680 52 at at IN 39713 3680 53 the the DT 39713 3680 54 instant instant NN 39713 3680 55 [ [ -LRB- 39713 3680 56 beta beta NN 39713 3680 57 ] ] -RRB- 39713 3680 58 other other JJ 39713 3680 59 impressions impression NNS 39713 3680 60 which which WDT 39713 3680 61 I -PRON- PRP 39713 3680 62 attribute attribute VBP 39713 3680 63 to to IN 39713 3680 64 the the DT 39713 3680 65 object object NN 39713 3680 66 _ _ NNP 39713 3680 67 B B NNP 39713 3680 68 _ _ NNP 39713 3680 69 are be VBP 39713 3680 70 transmitted transmit VBN 39713 3680 71 to to IN 39713 3680 72 me -PRON- PRP 39713 3680 73 , , , 39713 3680 74 some some DT 39713 3680 75 by by IN 39713 3680 76 this this DT 39713 3680 77 same same JJ 39713 3680 78 fiber fiber NN 39713 3680 79 of of IN 39713 3680 80 the the DT 39713 3680 81 optic optic JJ 39713 3680 82 nerve nerve NN 39713 3680 83 , , , 39713 3680 84 the the DT 39713 3680 85 others other NNS 39713 3680 86 by by IN 39713 3680 87 this this DT 39713 3680 88 same same JJ 39713 3680 89 tactile tactile NN 39713 3680 90 nerve nerve NN 39713 3680 91 . . . 39713 3681 1 Here here RB 39713 3681 2 I -PRON- PRP 39713 3681 3 must must MD 39713 3681 4 pause pause VB 39713 3681 5 for for IN 39713 3681 6 an an DT 39713 3681 7 explanation explanation NN 39713 3681 8 ; ; : 39713 3681 9 how how WRB 39713 3681 10 am be VBP 39713 3681 11 I -PRON- PRP 39713 3681 12 told tell VBN 39713 3681 13 that that IN 39713 3681 14 this this DT 39713 3681 15 impression impression NN 39713 3681 16 which which WDT 39713 3681 17 I -PRON- PRP 39713 3681 18 attribute attribute VBP 39713 3681 19 to to IN 39713 3681 20 _ _ NNP 39713 3681 21 A A NNP 39713 3681 22 _ _ NNP 39713 3681 23 , , , 39713 3681 24 and and CC 39713 3681 25 that that IN 39713 3681 26 which which WDT 39713 3681 27 I -PRON- PRP 39713 3681 28 attribute attribute VBP 39713 3681 29 to to IN 39713 3681 30 _ _ NNP 39713 3681 31 B B NNP 39713 3681 32 _ _ NNP 39713 3681 33 , , , 39713 3681 34 impressions impression NNS 39713 3681 35 which which WDT 39713 3681 36 are be VBP 39713 3681 37 qualitatively qualitatively RB 39713 3681 38 different different JJ 39713 3681 39 , , , 39713 3681 40 are be VBP 39713 3681 41 transmitted transmit VBN 39713 3681 42 to to IN 39713 3681 43 me -PRON- PRP 39713 3681 44 by by IN 39713 3681 45 the the DT 39713 3681 46 same same JJ 39713 3681 47 nerve nerve NN 39713 3681 48 ? ? . 39713 3682 1 Must Must MD 39713 3682 2 we -PRON- PRP 39713 3682 3 suppose suppose VB 39713 3682 4 , , , 39713 3682 5 to to TO 39713 3682 6 take take VB 39713 3682 7 for for IN 39713 3682 8 example example NN 39713 3682 9 the the DT 39713 3682 10 visual visual JJ 39713 3682 11 sensations sensation NNS 39713 3682 12 , , , 39713 3682 13 that that IN 39713 3682 14 _ _ NNP 39713 3682 15 A A NNP 39713 3682 16 _ _ NNP 39713 3682 17 produces produce VBZ 39713 3682 18 two two CD 39713 3682 19 simultaneous simultaneous JJ 39713 3682 20 sensations sensation NNS 39713 3682 21 , , , 39713 3682 22 a a DT 39713 3682 23 sensation sensation NN 39713 3682 24 purely purely RB 39713 3682 25 luminous luminous JJ 39713 3682 26 _ _ NNP 39713 3682 27 a a DT 39713 3682 28 _ _ NNP 39713 3682 29 and and CC 39713 3682 30 a a DT 39713 3682 31 colored colored JJ 39713 3682 32 sensation sensation NN 39713 3682 33 _ _ IN 39713 3682 34 a a DT 39713 3682 35 ' ' '' 39713 3682 36 _ _ NNP 39713 3682 37 , , , 39713 3682 38 that that IN 39713 3682 39 _ _ NNP 39713 3682 40 B B NNP 39713 3682 41 _ _ NNP 39713 3682 42 produces produce VBZ 39713 3682 43 in in IN 39713 3682 44 the the DT 39713 3682 45 same same JJ 39713 3682 46 way way NN 39713 3682 47 simultaneously simultaneously RB 39713 3682 48 a a DT 39713 3682 49 luminous luminous JJ 39713 3682 50 sensation sensation NN 39713 3682 51 _ _ NNP 39713 3682 52 b b NNP 39713 3682 53 _ _ NNP 39713 3682 54 and and CC 39713 3682 55 a a DT 39713 3682 56 colored colored JJ 39713 3682 57 sensation sensation NN 39713 3682 58 _ _ NNP 39713 3682 59 b b NNP 39713 3682 60 ' ' '' 39713 3682 61 _ _ NNP 39713 3682 62 , , , 39713 3682 63 that that IN 39713 3682 64 if if IN 39713 3682 65 these these DT 39713 3682 66 different different JJ 39713 3682 67 sensations sensation NNS 39713 3682 68 are be VBP 39713 3682 69 transmitted transmit VBN 39713 3682 70 to to IN 39713 3682 71 me -PRON- PRP 39713 3682 72 by by IN 39713 3682 73 the the DT 39713 3682 74 same same JJ 39713 3682 75 retinal retinal JJ 39713 3682 76 fiber fiber NN 39713 3682 77 , , , 39713 3682 78 _ _ NNP 39713 3682 79 a a DT 39713 3682 80 _ _ NNP 39713 3682 81 is be VBZ 39713 3682 82 identical identical JJ 39713 3682 83 with with IN 39713 3682 84 _ _ NNP 39713 3682 85 b b NNP 39713 3682 86 _ _ NNP 39713 3682 87 , , , 39713 3682 88 but but CC 39713 3682 89 that that IN 39713 3682 90 in in IN 39713 3682 91 general general JJ 39713 3682 92 the the DT 39713 3682 93 colored colored JJ 39713 3682 94 sensations sensation NNS 39713 3682 95 _ _ NNP 39713 3682 96 a a DT 39713 3682 97 ' ' `` 39713 3682 98 _ _ NNP 39713 3682 99 and and CC 39713 3682 100 _ _ NNP 39713 3682 101 b b NNP 39713 3682 102 ' ' '' 39713 3682 103 _ _ NNP 39713 3682 104 produced produce VBN 39713 3682 105 by by IN 39713 3682 106 different different JJ 39713 3682 107 bodies body NNS 39713 3682 108 are be VBP 39713 3682 109 different different JJ 39713 3682 110 ? ? . 39713 3683 1 In in IN 39713 3683 2 that that DT 39713 3683 3 case case NN 39713 3683 4 it -PRON- PRP 39713 3683 5 would would MD 39713 3683 6 be be VB 39713 3683 7 the the DT 39713 3683 8 identity identity NN 39713 3683 9 of of IN 39713 3683 10 the the DT 39713 3683 11 sensation sensation NN 39713 3683 12 _ _ NNP 39713 3683 13 a a DT 39713 3683 14 _ _ NNP 39713 3683 15 which which WDT 39713 3683 16 accompanies accompany VBZ 39713 3683 17 _ _ NNP 39713 3683 18 a a DT 39713 3683 19 ' ' `` 39713 3683 20 _ _ NNP 39713 3683 21 with with IN 39713 3683 22 the the DT 39713 3683 23 sensation sensation NN 39713 3683 24 _ _ NNP 39713 3683 25 b b NNP 39713 3683 26 _ _ NNP 39713 3683 27 which which WDT 39713 3683 28 accompanies accompany VBZ 39713 3683 29 _ _ NNP 39713 3683 30 b b NNP 39713 3683 31 ' ' '' 39713 3683 32 _ _ NNP 39713 3683 33 , , , 39713 3683 34 which which WDT 39713 3683 35 would would MD 39713 3683 36 tell tell VB 39713 3683 37 that that IN 39713 3683 38 all all PDT 39713 3683 39 these these DT 39713 3683 40 sensations sensation NNS 39713 3683 41 are be VBP 39713 3683 42 transmitted transmit VBN 39713 3683 43 to to IN 39713 3683 44 me -PRON- PRP 39713 3683 45 by by IN 39713 3683 46 the the DT 39713 3683 47 same same JJ 39713 3683 48 fiber fiber NN 39713 3683 49 . . . 39713 3684 1 However however RB 39713 3684 2 it -PRON- PRP 39713 3684 3 may may MD 39713 3684 4 be be VB 39713 3684 5 with with IN 39713 3684 6 this this DT 39713 3684 7 hypothesis hypothesis NN 39713 3684 8 and and CC 39713 3684 9 although although IN 39713 3684 10 I -PRON- PRP 39713 3684 11 am be VBP 39713 3684 12 led lead VBN 39713 3684 13 to to TO 39713 3684 14 prefer prefer VB 39713 3684 15 to to IN 39713 3684 16 it -PRON- PRP 39713 3684 17 others other VBZ 39713 3684 18 considerably considerably RB 39713 3684 19 more more RBR 39713 3684 20 complicated complicated JJ 39713 3684 21 , , , 39713 3684 22 it -PRON- PRP 39713 3684 23 is be VBZ 39713 3684 24 certain certain JJ 39713 3684 25 that that IN 39713 3684 26 we -PRON- PRP 39713 3684 27 are be VBP 39713 3684 28 told tell VBN 39713 3684 29 in in IN 39713 3684 30 some some DT 39713 3684 31 way way NN 39713 3684 32 that that IN 39713 3684 33 there there EX 39713 3684 34 is be VBZ 39713 3684 35 something something NN 39713 3684 36 in in IN 39713 3684 37 common common JJ 39713 3684 38 between between IN 39713 3684 39 these these DT 39713 3684 40 sensations sensation NNS 39713 3684 41 _ _ NNP 39713 3684 42 a a DT 39713 3684 43 _ _ NNP 39713 3684 44 + + NNP 39713 3684 45 _ _ NNP 39713 3684 46 a a DT 39713 3684 47 ' ' `` 39713 3684 48 _ _ NNP 39713 3684 49 and and CC 39713 3684 50 _ _ NNP 39713 3684 51 b b NNP 39713 3684 52 _ _ NNP 39713 3684 53 + + NNP 39713 3684 54 _ _ NNP 39713 3684 55 b b NNP 39713 3684 56 ' ' '' 39713 3684 57 _ _ NNP 39713 3684 58 , , , 39713 3684 59 without without IN 39713 3684 60 which which WDT 39713 3684 61 we -PRON- PRP 39713 3684 62 should should MD 39713 3684 63 have have VB 39713 3684 64 no no DT 39713 3684 65 means means NN 39713 3684 66 of of IN 39713 3684 67 recognizing recognize VBG 39713 3684 68 that that IN 39713 3684 69 the the DT 39713 3684 70 object object NN 39713 3684 71 _ _ NNP 39713 3684 72 B B NNP 39713 3684 73 _ _ NNP 39713 3684 74 has have VBZ 39713 3684 75 taken take VBN 39713 3684 76 the the DT 39713 3684 77 place place NN 39713 3684 78 of of IN 39713 3684 79 the the DT 39713 3684 80 object object NN 39713 3684 81 _ _ NNP 39713 3684 82 A A NNP 39713 3684 83 _ _ NNP 39713 3684 84 . . . 39713 3685 1 Therefore therefore RB 39713 3685 2 I -PRON- PRP 39713 3685 3 do do VBP 39713 3685 4 not not RB 39713 3685 5 further further RB 39713 3685 6 insist insist VB 39713 3685 7 and and CC 39713 3685 8 I -PRON- PRP 39713 3685 9 recall recall VBP 39713 3685 10 the the DT 39713 3685 11 hypothesis hypothesis NN 39713 3685 12 I -PRON- PRP 39713 3685 13 have have VBP 39713 3685 14 just just RB 39713 3685 15 made make VBN 39713 3685 16 : : : 39713 3685 17 I -PRON- PRP 39713 3685 18 suppose suppose VBP 39713 3685 19 that that IN 39713 3685 20 I -PRON- PRP 39713 3685 21 have have VBP 39713 3685 22 ascertained ascertain VBN 39713 3685 23 that that IN 39713 3685 24 the the DT 39713 3685 25 impressions impression NNS 39713 3685 26 which which WDT 39713 3685 27 I -PRON- PRP 39713 3685 28 attribute attribute VBP 39713 3685 29 to to IN 39713 3685 30 _ _ NNP 39713 3685 31 B B NNP 39713 3685 32 _ _ NNP 39713 3685 33 are be VBP 39713 3685 34 transmitted transmit VBN 39713 3685 35 to to IN 39713 3685 36 me -PRON- PRP 39713 3685 37 at at IN 39713 3685 38 the the DT 39713 3685 39 instant instant NN 39713 3685 40 [ [ -LRB- 39713 3685 41 beta beta NN 39713 3685 42 ] ] -RRB- 39713 3685 43 by by IN 39713 3685 44 the the DT 39713 3685 45 same same JJ 39713 3685 46 fibers fiber NNS 39713 3685 47 , , , 39713 3685 48 optic optic JJ 39713 3685 49 as as RB 39713 3685 50 well well RB 39713 3685 51 as as IN 39713 3685 52 tactile tactile NN 39713 3685 53 , , , 39713 3685 54 which which WDT 39713 3685 55 , , , 39713 3685 56 at at IN 39713 3685 57 the the DT 39713 3685 58 instant instant NN 39713 3685 59 [ [ -LRB- 39713 3685 60 alpha alpha NN 39713 3685 61 ] ] -RRB- 39713 3685 62 , , , 39713 3685 63 had have VBD 39713 3685 64 transmitted transmit VBN 39713 3685 65 to to IN 39713 3685 66 me -PRON- PRP 39713 3685 67 the the DT 39713 3685 68 impressions impression NNS 39713 3685 69 that that WDT 39713 3685 70 I -PRON- PRP 39713 3685 71 attributed attribute VBD 39713 3685 72 to to IN 39713 3685 73 _ _ NNP 39713 3685 74 A A NNP 39713 3685 75 _ _ NNP 39713 3685 76 . . . 39713 3686 1 If if IN 39713 3686 2 it -PRON- PRP 39713 3686 3 is be VBZ 39713 3686 4 so so RB 39713 3686 5 , , , 39713 3686 6 we -PRON- PRP 39713 3686 7 shall shall MD 39713 3686 8 not not RB 39713 3686 9 hesitate hesitate VB 39713 3686 10 to to TO 39713 3686 11 declare declare VB 39713 3686 12 that that IN 39713 3686 13 the the DT 39713 3686 14 point point NN 39713 3686 15 occupied occupy VBN 39713 3686 16 by by IN 39713 3686 17 _ _ NNP 39713 3686 18 B B NNP 39713 3686 19 _ _ NNP 39713 3686 20 at at IN 39713 3686 21 the the DT 39713 3686 22 instant instant NN 39713 3686 23 [ [ -LRB- 39713 3686 24 beta beta NN 39713 3686 25 ] ] -RRB- 39713 3686 26 is be VBZ 39713 3686 27 identical identical JJ 39713 3686 28 with with IN 39713 3686 29 the the DT 39713 3686 30 point point NN 39713 3686 31 occupied occupy VBN 39713 3686 32 by by IN 39713 3686 33 _ _ NNP 39713 3686 34 A A NNP 39713 3686 35 _ _ NNP 39713 3686 36 at at IN 39713 3686 37 the the DT 39713 3686 38 instant instant NN 39713 3686 39 [ [ -LRB- 39713 3686 40 alpha alpha NN 39713 3686 41 ] ] -RRB- 39713 3686 42 . . . 39713 3687 1 I -PRON- PRP 39713 3687 2 have have VBP 39713 3687 3 just just RB 39713 3687 4 enunciated enunciate VBN 39713 3687 5 two two CD 39713 3687 6 conditions condition NNS 39713 3687 7 for for IN 39713 3687 8 these these DT 39713 3687 9 points point NNS 39713 3687 10 being be VBG 39713 3687 11 identical identical JJ 39713 3687 12 ; ; : 39713 3687 13 one one PRP 39713 3687 14 is be VBZ 39713 3687 15 relative relative JJ 39713 3687 16 to to IN 39713 3687 17 sight sight NN 39713 3687 18 , , , 39713 3687 19 the the DT 39713 3687 20 other other JJ 39713 3687 21 to to TO 39713 3687 22 touch touch VB 39713 3687 23 . . . 39713 3688 1 Let let VB 39713 3688 2 us -PRON- PRP 39713 3688 3 consider consider VB 39713 3688 4 them -PRON- PRP 39713 3688 5 separately separately RB 39713 3688 6 . . . 39713 3689 1 The the DT 39713 3689 2 first first JJ 39713 3689 3 is be VBZ 39713 3689 4 necessary necessary JJ 39713 3689 5 , , , 39713 3689 6 but but CC 39713 3689 7 is be VBZ 39713 3689 8 not not RB 39713 3689 9 sufficient sufficient JJ 39713 3689 10 . . . 39713 3690 1 The the DT 39713 3690 2 second second JJ 39713 3690 3 is be VBZ 39713 3690 4 at at IN 39713 3690 5 once once RB 39713 3690 6 necessary necessary JJ 39713 3690 7 and and CC 39713 3690 8 sufficient sufficient JJ 39713 3690 9 . . . 39713 3691 1 A a DT 39713 3691 2 person person NN 39713 3691 3 knowing know VBG 39713 3691 4 geometry geometry NN 39713 3691 5 could could MD 39713 3691 6 easily easily RB 39713 3691 7 explain explain VB 39713 3691 8 this this DT 39713 3691 9 in in IN 39713 3691 10 the the DT 39713 3691 11 following following JJ 39713 3691 12 manner manner NN 39713 3691 13 : : : 39713 3691 14 Let let VB 39713 3691 15 _ _ NNP 39713 3691 16 O o UH 39713 3691 17 _ _ NNP 39713 3691 18 be be VB 39713 3691 19 the the DT 39713 3691 20 point point NN 39713 3691 21 of of IN 39713 3691 22 the the DT 39713 3691 23 retina retina NNP 39713 3691 24 where where WRB 39713 3691 25 is be VBZ 39713 3691 26 formed form VBN 39713 3691 27 at at IN 39713 3691 28 the the DT 39713 3691 29 instant instant NN 39713 3691 30 [ [ -LRB- 39713 3691 31 alpha alpha NN 39713 3691 32 ] ] -RRB- 39713 3691 33 the the DT 39713 3691 34 image image NN 39713 3691 35 of of IN 39713 3691 36 the the DT 39713 3691 37 body body NN 39713 3691 38 _ _ NNP 39713 3691 39 A A NNP 39713 3691 40 _ _ NNP 39713 3691 41 ; ; : 39713 3691 42 let let VB 39713 3691 43 _ _ NNP 39713 3691 44 M M NNP 39713 3691 45 _ _ NNP 39713 3691 46 be be VB 39713 3691 47 the the DT 39713 3691 48 point point NN 39713 3691 49 of of IN 39713 3691 50 space space NN 39713 3691 51 occupied occupy VBN 39713 3691 52 at at IN 39713 3691 53 the the DT 39713 3691 54 instant instant NN 39713 3691 55 [ [ -LRB- 39713 3691 56 alpha alpha NN 39713 3691 57 ] ] -RRB- 39713 3691 58 by by IN 39713 3691 59 this this DT 39713 3691 60 body body NN 39713 3691 61 _ _ NNP 39713 3691 62 A A NNP 39713 3691 63 _ _ NNP 39713 3691 64 ; ; : 39713 3691 65 let let VB 39713 3691 66 _ _ NNP 39713 3691 67 M M NNP 39713 3691 68 ' ' '' 39713 3691 69 _ _ NNP 39713 3691 70 be be VB 39713 3691 71 the the DT 39713 3691 72 point point NN 39713 3691 73 of of IN 39713 3691 74 space space NN 39713 3691 75 occupied occupy VBN 39713 3691 76 at at IN 39713 3691 77 the the DT 39713 3691 78 instant instant NN 39713 3691 79 [ [ -LRB- 39713 3691 80 beta beta NN 39713 3691 81 ] ] -RRB- 39713 3691 82 by by IN 39713 3691 83 the the DT 39713 3691 84 body body NN 39713 3691 85 _ _ NNP 39713 3691 86 B B NNP 39713 3691 87 _ _ NNP 39713 3691 88 . . . 39713 3692 1 For for IN 39713 3692 2 this this DT 39713 3692 3 body body NN 39713 3692 4 _ _ NNP 39713 3692 5 B B NNP 39713 3692 6 _ _ NNP 39713 3692 7 to to TO 39713 3692 8 form form VB 39713 3692 9 its -PRON- PRP$ 39713 3692 10 image image NN 39713 3692 11 in in IN 39713 3692 12 _ _ NNP 39713 3692 13 O O NNP 39713 3692 14 _ _ NNP 39713 3692 15 , , , 39713 3692 16 it -PRON- PRP 39713 3692 17 is be VBZ 39713 3692 18 not not RB 39713 3692 19 necessary necessary JJ 39713 3692 20 that that IN 39713 3692 21 the the DT 39713 3692 22 points point NNS 39713 3692 23 _ _ NNP 39713 3692 24 M M NNP 39713 3692 25 _ _ NNP 39713 3692 26 and and CC 39713 3692 27 _ _ NNP 39713 3692 28 M M NNP 39713 3692 29 ' ' '' 39713 3692 30 _ _ NNP 39713 3692 31 coincide coincide NN 39713 3692 32 ; ; : 39713 3692 33 since since IN 39713 3692 34 vision vision NN 39713 3692 35 acts act NNS 39713 3692 36 at at IN 39713 3692 37 a a DT 39713 3692 38 distance distance NN 39713 3692 39 , , , 39713 3692 40 it -PRON- PRP 39713 3692 41 suffices suffice VBZ 39713 3692 42 for for IN 39713 3692 43 the the DT 39713 3692 44 three three CD 39713 3692 45 points point NNS 39713 3692 46 _ _ NNP 39713 3692 47 O O NNP 39713 3692 48 _ _ NNP 39713 3692 49 _ _ NNP 39713 3692 50 M M NNP 39713 3692 51 _ _ NNP 39713 3692 52 _ _ NNP 39713 3692 53 M M NNP 39713 3692 54 ' ' '' 39713 3692 55 _ _ NNP 39713 3692 56 to to TO 39713 3692 57 be be VB 39713 3692 58 in in IN 39713 3692 59 a a DT 39713 3692 60 straight straight JJ 39713 3692 61 line line NN 39713 3692 62 . . . 39713 3693 1 This this DT 39713 3693 2 condition condition NN 39713 3693 3 that that IN 39713 3693 4 the the DT 39713 3693 5 two two CD 39713 3693 6 objects object NNS 39713 3693 7 form form VBP 39713 3693 8 their -PRON- PRP$ 39713 3693 9 image image NN 39713 3693 10 on on IN 39713 3693 11 _ _ NNP 39713 3693 12 O O NNP 39713 3693 13 _ _ NNP 39713 3693 14 is be VBZ 39713 3693 15 therefore therefore RB 39713 3693 16 necessary necessary JJ 39713 3693 17 , , , 39713 3693 18 but but CC 39713 3693 19 not not RB 39713 3693 20 sufficient sufficient JJ 39713 3693 21 for for IN 39713 3693 22 the the DT 39713 3693 23 points point NNS 39713 3693 24 _ _ NNP 39713 3693 25 M M NNP 39713 3693 26 _ _ NNP 39713 3693 27 and and CC 39713 3693 28 _ _ NNP 39713 3693 29 M M NNP 39713 3693 30 ' ' '' 39713 3693 31 _ _ NNP 39713 3693 32 to to TO 39713 3693 33 coincide coincide VB 39713 3693 34 . . . 39713 3694 1 Let let VB 39713 3694 2 now now RB 39713 3694 3 _ _ NNP 39713 3694 4 P P NNP 39713 3694 5 _ _ NNP 39713 3694 6 be be VB 39713 3694 7 the the DT 39713 3694 8 point point NN 39713 3694 9 occupied occupy VBN 39713 3694 10 by by IN 39713 3694 11 my -PRON- PRP$ 39713 3694 12 finger finger NN 39713 3694 13 and and CC 39713 3694 14 where where WRB 39713 3694 15 it -PRON- PRP 39713 3694 16 remains remain VBZ 39713 3694 17 , , , 39713 3694 18 since since IN 39713 3694 19 it -PRON- PRP 39713 3694 20 does do VBZ 39713 3694 21 not not RB 39713 3694 22 budge budge VB 39713 3694 23 . . . 39713 3695 1 As as IN 39713 3695 2 touch touch NN 39713 3695 3 does do VBZ 39713 3695 4 not not RB 39713 3695 5 act act VB 39713 3695 6 at at IN 39713 3695 7 a a DT 39713 3695 8 distance distance NN 39713 3695 9 , , , 39713 3695 10 if if IN 39713 3695 11 the the DT 39713 3695 12 body body NN 39713 3695 13 _ _ NNP 39713 3695 14 A A NNP 39713 3695 15 _ _ NNP 39713 3695 16 touches touch VBZ 39713 3695 17 my -PRON- PRP$ 39713 3695 18 finger finger NN 39713 3695 19 at at IN 39713 3695 20 the the DT 39713 3695 21 instant instant NN 39713 3695 22 [ [ -LRB- 39713 3695 23 alpha alpha NN 39713 3695 24 ] ] -RRB- 39713 3695 25 , , , 39713 3695 26 it -PRON- PRP 39713 3695 27 is be VBZ 39713 3695 28 because because IN 39713 3695 29 _ _ NNP 39713 3695 30 M M NNP 39713 3695 31 _ _ NNP 39713 3695 32 and and CC 39713 3695 33 _ _ NNP 39713 3695 34 P P NNP 39713 3695 35 _ _ NNP 39713 3695 36 coincide coincide NN 39713 3695 37 ; ; : 39713 3695 38 if if IN 39713 3695 39 _ _ NNP 39713 3695 40 B B NNP 39713 3695 41 _ _ NNP 39713 3695 42 touches touch VBZ 39713 3695 43 my -PRON- PRP$ 39713 3695 44 finger finger NN 39713 3695 45 at at IN 39713 3695 46 the the DT 39713 3695 47 instant instant NN 39713 3695 48 [ [ -LRB- 39713 3695 49 beta beta NN 39713 3695 50 ] ] -RRB- 39713 3695 51 , , , 39713 3695 52 it -PRON- PRP 39713 3695 53 is be VBZ 39713 3695 54 because because IN 39713 3695 55 _ _ NNP 39713 3695 56 M M NNP 39713 3695 57 ' ' '' 39713 3695 58 _ _ NNP 39713 3695 59 and and CC 39713 3695 60 _ _ NNP 39713 3695 61 P P NNP 39713 3695 62 _ _ NNP 39713 3695 63 coincide coincide NN 39713 3695 64 . . . 39713 3696 1 Therefore therefore RB 39713 3696 2 _ _ NNP 39713 3696 3 M M NNP 39713 3696 4 _ _ NNP 39713 3696 5 and and CC 39713 3696 6 _ _ NNP 39713 3696 7 M M NNP 39713 3696 8 ' ' '' 39713 3696 9 _ _ NNP 39713 3696 10 coincide coincide NN 39713 3696 11 . . . 39713 3697 1 Thus thus RB 39713 3697 2 this this DT 39713 3697 3 condition condition NN 39713 3697 4 that that IN 39713 3697 5 if if IN 39713 3697 6 _ _ NNP 39713 3697 7 A A NNP 39713 3697 8 _ _ NNP 39713 3697 9 touches touch VBZ 39713 3697 10 my -PRON- PRP$ 39713 3697 11 finger finger NN 39713 3697 12 at at IN 39713 3697 13 the the DT 39713 3697 14 instant instant NN 39713 3697 15 [ [ -LRB- 39713 3697 16 alpha alpha NN 39713 3697 17 ] ] -RRB- 39713 3697 18 , , , 39713 3697 19 _ _ NNP 39713 3697 20 B B NNP 39713 3697 21 _ _ NNP 39713 3697 22 touches touch VBZ 39713 3697 23 it -PRON- PRP 39713 3697 24 at at IN 39713 3697 25 the the DT 39713 3697 26 instant instant NN 39713 3697 27 [ [ -LRB- 39713 3697 28 beta beta NN 39713 3697 29 ] ] -RRB- 39713 3697 30 , , , 39713 3697 31 is be VBZ 39713 3697 32 at at IN 39713 3697 33 once once RB 39713 3697 34 necessary necessary JJ 39713 3697 35 and and CC 39713 3697 36 sufficient sufficient JJ 39713 3697 37 for for IN 39713 3697 38 _ _ NNP 39713 3697 39 M M NNP 39713 3697 40 _ _ NNP 39713 3697 41 and and CC 39713 3697 42 _ _ NNP 39713 3697 43 M M NNP 39713 3697 44 ' ' '' 39713 3697 45 _ _ NNP 39713 3697 46 to to TO 39713 3697 47 coincide coincide VB 39713 3697 48 . . . 39713 3698 1 But but CC 39713 3698 2 we -PRON- PRP 39713 3698 3 who who WP 39713 3698 4 , , , 39713 3698 5 as as RB 39713 3698 6 yet yet RB 39713 3698 7 , , , 39713 3698 8 do do VB 39713 3698 9 not not RB 39713 3698 10 know know VB 39713 3698 11 geometry geometry NN 39713 3698 12 can can MD 39713 3698 13 not not RB 39713 3698 14 reason reason VB 39713 3698 15 thus thus RB 39713 3698 16 ; ; : 39713 3698 17 all all DT 39713 3698 18 that that WDT 39713 3698 19 we -PRON- PRP 39713 3698 20 can can MD 39713 3698 21 do do VB 39713 3698 22 is be VBZ 39713 3698 23 to to TO 39713 3698 24 ascertain ascertain VB 39713 3698 25 experimentally experimentally RB 39713 3698 26 that that IN 39713 3698 27 the the DT 39713 3698 28 first first JJ 39713 3698 29 condition condition NN 39713 3698 30 relative relative JJ 39713 3698 31 to to IN 39713 3698 32 sight sight NN 39713 3698 33 may may MD 39713 3698 34 be be VB 39713 3698 35 fulfilled fulfil VBN 39713 3698 36 without without IN 39713 3698 37 the the DT 39713 3698 38 second second JJ 39713 3698 39 , , , 39713 3698 40 which which WDT 39713 3698 41 is be VBZ 39713 3698 42 relative relative JJ 39713 3698 43 to to TO 39713 3698 44 touch touch VB 39713 3698 45 , , , 39713 3698 46 but but CC 39713 3698 47 that that IN 39713 3698 48 the the DT 39713 3698 49 second second JJ 39713 3698 50 can can MD 39713 3698 51 not not RB 39713 3698 52 be be VB 39713 3698 53 fulfilled fulfil VBN 39713 3698 54 without without IN 39713 3698 55 the the DT 39713 3698 56 first first JJ 39713 3698 57 . . . 39713 3699 1 Suppose suppose VB 39713 3699 2 experience experience NN 39713 3699 3 had have VBD 39713 3699 4 taught teach VBN 39713 3699 5 us -PRON- PRP 39713 3699 6 the the DT 39713 3699 7 contrary contrary NN 39713 3699 8 , , , 39713 3699 9 as as IN 39713 3699 10 might may MD 39713 3699 11 well well RB 39713 3699 12 be be VB 39713 3699 13 ; ; : 39713 3699 14 this this DT 39713 3699 15 hypothesis hypothesis NN 39713 3699 16 contains contain VBZ 39713 3699 17 nothing nothing NN 39713 3699 18 absurd absurd JJ 39713 3699 19 . . . 39713 3700 1 Suppose suppose VB 39713 3700 2 , , , 39713 3700 3 therefore therefore RB 39713 3700 4 , , , 39713 3700 5 that that IN 39713 3700 6 we -PRON- PRP 39713 3700 7 had have VBD 39713 3700 8 ascertained ascertain VBN 39713 3700 9 experimentally experimentally RB 39713 3700 10 that that IN 39713 3700 11 the the DT 39713 3700 12 condition condition NN 39713 3700 13 relative relative JJ 39713 3700 14 to to IN 39713 3700 15 touch touch NN 39713 3700 16 may may MD 39713 3700 17 be be VB 39713 3700 18 fulfilled fulfil VBN 39713 3700 19 without without IN 39713 3700 20 that that DT 39713 3700 21 of of IN 39713 3700 22 sight sight NN 39713 3700 23 being be VBG 39713 3700 24 fulfilled fulfil VBN 39713 3700 25 and and CC 39713 3700 26 that that IN 39713 3700 27 , , , 39713 3700 28 on on IN 39713 3700 29 the the DT 39713 3700 30 contrary contrary NN 39713 3700 31 , , , 39713 3700 32 that that DT 39713 3700 33 of of IN 39713 3700 34 sight sight NN 39713 3700 35 can can MD 39713 3700 36 not not RB 39713 3700 37 be be VB 39713 3700 38 fulfilled fulfil VBN 39713 3700 39 without without IN 39713 3700 40 that that DT 39713 3700 41 of of IN 39713 3700 42 touch touch NN 39713 3700 43 being be VBG 39713 3700 44 also also RB 39713 3700 45 . . . 39713 3701 1 It -PRON- PRP 39713 3701 2 is be VBZ 39713 3701 3 clear clear JJ 39713 3701 4 that that IN 39713 3701 5 if if IN 39713 3701 6 this this DT 39713 3701 7 were be VBD 39713 3701 8 so so RB 39713 3701 9 we -PRON- PRP 39713 3701 10 should should MD 39713 3701 11 conclude conclude VB 39713 3701 12 that that IN 39713 3701 13 it -PRON- PRP 39713 3701 14 is be VBZ 39713 3701 15 touch touch NN 39713 3701 16 which which WDT 39713 3701 17 may may MD 39713 3701 18 be be VB 39713 3701 19 exercised exercise VBN 39713 3701 20 at at IN 39713 3701 21 a a DT 39713 3701 22 distance distance NN 39713 3701 23 , , , 39713 3701 24 and and CC 39713 3701 25 that that DT 39713 3701 26 sight sight NN 39713 3701 27 does do VBZ 39713 3701 28 not not RB 39713 3701 29 operate operate VB 39713 3701 30 at at IN 39713 3701 31 a a DT 39713 3701 32 distance distance NN 39713 3701 33 . . . 39713 3702 1 But but CC 39713 3702 2 this this DT 39713 3702 3 is be VBZ 39713 3702 4 not not RB 39713 3702 5 all all DT 39713 3702 6 ; ; : 39713 3702 7 up up IN 39713 3702 8 to to IN 39713 3702 9 this this DT 39713 3702 10 time time NN 39713 3702 11 I -PRON- PRP 39713 3702 12 have have VBP 39713 3702 13 supposed suppose VBN 39713 3702 14 that that DT 39713 3702 15 to to TO 39713 3702 16 determine determine VB 39713 3702 17 the the DT 39713 3702 18 place place NN 39713 3702 19 of of IN 39713 3702 20 an an DT 39713 3702 21 object object NN 39713 3702 22 I -PRON- PRP 39713 3702 23 have have VBP 39713 3702 24 made make VBN 39713 3702 25 use use NN 39713 3702 26 only only RB 39713 3702 27 of of IN 39713 3702 28 my -PRON- PRP$ 39713 3702 29 eye eye NN 39713 3702 30 and and CC 39713 3702 31 a a DT 39713 3702 32 single single JJ 39713 3702 33 finger finger NN 39713 3702 34 ; ; : 39713 3702 35 but but CC 39713 3702 36 I -PRON- PRP 39713 3702 37 could could MD 39713 3702 38 just just RB 39713 3702 39 as as RB 39713 3702 40 well well RB 39713 3702 41 have have VBP 39713 3702 42 employed employ VBN 39713 3702 43 other other JJ 39713 3702 44 means mean NNS 39713 3702 45 , , , 39713 3702 46 for for IN 39713 3702 47 example example NN 39713 3702 48 , , , 39713 3702 49 all all DT 39713 3702 50 my -PRON- PRP$ 39713 3702 51 other other JJ 39713 3702 52 fingers finger NNS 39713 3702 53 . . . 39713 3703 1 I -PRON- PRP 39713 3703 2 suppose suppose VBP 39713 3703 3 that that IN 39713 3703 4 my -PRON- PRP$ 39713 3703 5 first first JJ 39713 3703 6 finger finger NN 39713 3703 7 receives receive VBZ 39713 3703 8 at at IN 39713 3703 9 the the DT 39713 3703 10 instant instant NN 39713 3703 11 [ [ -LRB- 39713 3703 12 alpha alpha NN 39713 3703 13 ] ] -RRB- 39713 3703 14 a a DT 39713 3703 15 tactile tactile NN 39713 3703 16 impression impression NN 39713 3703 17 which which WDT 39713 3703 18 I -PRON- PRP 39713 3703 19 attribute attribute VBP 39713 3703 20 to to IN 39713 3703 21 the the DT 39713 3703 22 object object NN 39713 3703 23 _ _ NNP 39713 3703 24 A A NNP 39713 3703 25 _ _ NNP 39713 3703 26 . . . 39713 3704 1 I -PRON- PRP 39713 3704 2 make make VBP 39713 3704 3 a a DT 39713 3704 4 series series NN 39713 3704 5 of of IN 39713 3704 6 movements movement NNS 39713 3704 7 , , , 39713 3704 8 corresponding correspond VBG 39713 3704 9 to to IN 39713 3704 10 a a DT 39713 3704 11 series series NN 39713 3704 12 _ _ NNP 39713 3704 13 S S NNP 39713 3704 14 _ _ NNP 39713 3704 15 of of IN 39713 3704 16 muscular muscular JJ 39713 3704 17 sensations sensation NNS 39713 3704 18 . . . 39713 3705 1 After after IN 39713 3705 2 these these DT 39713 3705 3 movements movement NNS 39713 3705 4 , , , 39713 3705 5 at at IN 39713 3705 6 the the DT 39713 3705 7 instant instant NN 39713 3705 8 [ [ -LRB- 39713 3705 9 alpha alpha NN 39713 3705 10 ] ] -RRB- 39713 3705 11 ' ' '' 39713 3705 12 , , , 39713 3705 13 my -PRON- PRP$ 39713 3705 14 _ _ NNP 39713 3705 15 second second JJ 39713 3705 16 _ _ NNP 39713 3705 17 finger finger NN 39713 3705 18 receives receive VBZ 39713 3705 19 a a DT 39713 3705 20 tactile tactile NN 39713 3705 21 impression impression NN 39713 3705 22 that that IN 39713 3705 23 I -PRON- PRP 39713 3705 24 attribute attribute VBP 39713 3705 25 likewise likewise RB 39713 3705 26 to to IN 39713 3705 27 _ _ NNP 39713 3705 28 A A NNP 39713 3705 29 _ _ NNP 39713 3705 30 . . . 39713 3706 1 Afterward afterward RB 39713 3706 2 , , , 39713 3706 3 at at IN 39713 3706 4 the the DT 39713 3706 5 instant instant NN 39713 3706 6 [ [ -LRB- 39713 3706 7 beta beta NN 39713 3706 8 ] ] -RRB- 39713 3706 9 , , , 39713 3706 10 without without IN 39713 3706 11 my -PRON- PRP$ 39713 3706 12 having have VBG 39713 3706 13 budged budge VBN 39713 3706 14 , , , 39713 3706 15 as as IN 39713 3706 16 my -PRON- PRP$ 39713 3706 17 muscular muscular JJ 39713 3706 18 sense sense NN 39713 3706 19 tells tell VBZ 39713 3706 20 me -PRON- PRP 39713 3706 21 , , , 39713 3706 22 this this DT 39713 3706 23 same same JJ 39713 3706 24 second second JJ 39713 3706 25 finger finger NN 39713 3706 26 transmits transmit VBZ 39713 3706 27 to to IN 39713 3706 28 me -PRON- PRP 39713 3706 29 anew anew RB 39713 3706 30 a a DT 39713 3706 31 tactile tactile NN 39713 3706 32 impression impression NN 39713 3706 33 which which WDT 39713 3706 34 I -PRON- PRP 39713 3706 35 attribute attribute VBP 39713 3706 36 this this DT 39713 3706 37 time time NN 39713 3706 38 to to IN 39713 3706 39 the the DT 39713 3706 40 object object NN 39713 3706 41 _ _ NNP 39713 3706 42 B B NNP 39713 3706 43 _ _ NNP 39713 3706 44 ; ; : 39713 3706 45 I -PRON- PRP 39713 3706 46 then then RB 39713 3706 47 make make VBP 39713 3706 48 a a DT 39713 3706 49 series series NN 39713 3706 50 of of IN 39713 3706 51 movements movement NNS 39713 3706 52 , , , 39713 3706 53 corresponding correspond VBG 39713 3706 54 to to IN 39713 3706 55 a a DT 39713 3706 56 series series NN 39713 3706 57 _ _ NNP 39713 3706 58 S S NNP 39713 3706 59 ' ' '' 39713 3706 60 _ _ NNP 39713 3706 61 of of IN 39713 3706 62 muscular muscular JJ 39713 3706 63 sensations sensation NNS 39713 3706 64 . . . 39713 3707 1 I -PRON- PRP 39713 3707 2 know know VBP 39713 3707 3 that that IN 39713 3707 4 this this DT 39713 3707 5 series series NN 39713 3707 6 _ _ NNP 39713 3707 7 S S NNP 39713 3707 8 ' ' '' 39713 3707 9 _ _ NNP 39713 3707 10 is be VBZ 39713 3707 11 the the DT 39713 3707 12 inverse inverse NN 39713 3707 13 of of IN 39713 3707 14 the the DT 39713 3707 15 series series NN 39713 3707 16 _ _ NNP 39713 3707 17 S S NNP 39713 3707 18 _ _ NNP 39713 3707 19 and and CC 39713 3707 20 corresponds correspond VBZ 39713 3707 21 to to IN 39713 3707 22 contrary contrary JJ 39713 3707 23 movements movement NNS 39713 3707 24 . . . 39713 3708 1 I -PRON- PRP 39713 3708 2 know know VBP 39713 3708 3 this this DT 39713 3708 4 because because IN 39713 3708 5 many many JJ 39713 3708 6 previous previous JJ 39713 3708 7 experiences experience NNS 39713 3708 8 have have VBP 39713 3708 9 shown show VBN 39713 3708 10 me -PRON- PRP 39713 3708 11 that that IN 39713 3708 12 if if IN 39713 3708 13 I -PRON- PRP 39713 3708 14 made make VBD 39713 3708 15 successively successively RB 39713 3708 16 the the DT 39713 3708 17 two two CD 39713 3708 18 series series NN 39713 3708 19 of of IN 39713 3708 20 movements movement NNS 39713 3708 21 corresponding correspond VBG 39713 3708 22 to to IN 39713 3708 23 _ _ NNP 39713 3708 24 S S NNP 39713 3708 25 _ _ NNP 39713 3708 26 and and CC 39713 3708 27 to to IN 39713 3708 28 _ _ NNP 39713 3708 29 S S NNP 39713 3708 30 ' ' '' 39713 3708 31 _ _ NNP 39713 3708 32 , , , 39713 3708 33 the the DT 39713 3708 34 primitive primitive JJ 39713 3708 35 impressions impression NNS 39713 3708 36 would would MD 39713 3708 37 be be VB 39713 3708 38 reestablished reestablish VBN 39713 3708 39 , , , 39713 3708 40 in in IN 39713 3708 41 other other JJ 39713 3708 42 words word NNS 39713 3708 43 , , , 39713 3708 44 that that IN 39713 3708 45 the the DT 39713 3708 46 two two CD 39713 3708 47 series series NN 39713 3708 48 mutually mutually RB 39713 3708 49 compensate compensate VBP 39713 3708 50 . . . 39713 3709 1 That that DT 39713 3709 2 settled settle VBN 39713 3709 3 , , , 39713 3709 4 should should MD 39713 3709 5 I -PRON- PRP 39713 3709 6 expect expect VB 39713 3709 7 that that IN 39713 3709 8 at at IN 39713 3709 9 the the DT 39713 3709 10 instant instant NN 39713 3709 11 [ [ -LRB- 39713 3709 12 beta beta NN 39713 3709 13 ] ] -RRB- 39713 3709 14 ' ' '' 39713 3709 15 , , , 39713 3709 16 when when WRB 39713 3709 17 the the DT 39713 3709 18 second second JJ 39713 3709 19 series series NN 39713 3709 20 of of IN 39713 3709 21 movements movement NNS 39713 3709 22 is be VBZ 39713 3709 23 ended end VBN 39713 3709 24 , , , 39713 3709 25 my -PRON- PRP$ 39713 3709 26 _ _ NNP 39713 3709 27 first first JJ 39713 3709 28 finger finger NN 39713 3709 29 _ _ NNP 39713 3709 30 would would MD 39713 3709 31 feel feel VB 39713 3709 32 a a DT 39713 3709 33 tactile tactile NN 39713 3709 34 impression impression NN 39713 3709 35 attributable attributable JJ 39713 3709 36 to to IN 39713 3709 37 the the DT 39713 3709 38 object object NN 39713 3709 39 _ _ NNP 39713 3709 40 B B NNP 39713 3709 41 _ _ NNP 39713 3709 42 ? ? . 39713 3710 1 To to TO 39713 3710 2 answer answer VB 39713 3710 3 this this DT 39713 3710 4 question question NN 39713 3710 5 , , , 39713 3710 6 those those DT 39713 3710 7 already already RB 39713 3710 8 knowing know VBG 39713 3710 9 geometry geometry NN 39713 3710 10 would would MD 39713 3710 11 reason reason VB 39713 3710 12 as as IN 39713 3710 13 follows follow VBZ 39713 3710 14 : : : 39713 3710 15 There there EX 39713 3710 16 are be VBP 39713 3710 17 chances chance NNS 39713 3710 18 that that IN 39713 3710 19 the the DT 39713 3710 20 object object NN 39713 3710 21 _ _ NNP 39713 3710 22 A A NNP 39713 3710 23 _ _ NNP 39713 3710 24 has have VBZ 39713 3710 25 not not RB 39713 3710 26 budged budge VBN 39713 3710 27 , , , 39713 3710 28 between between IN 39713 3710 29 the the DT 39713 3710 30 instants instant NNS 39713 3710 31 [ [ -LRB- 39713 3710 32 alpha alpha NN 39713 3710 33 ] ] -RRB- 39713 3710 34 and and CC 39713 3710 35 [ [ -LRB- 39713 3710 36 alpha alpha NN 39713 3710 37 ] ] -RRB- 39713 3710 38 ' ' '' 39713 3710 39 , , , 39713 3710 40 nor nor CC 39713 3710 41 the the DT 39713 3710 42 object object NN 39713 3710 43 _ _ NNP 39713 3710 44 B B NNP 39713 3710 45 _ _ NNP 39713 3710 46 between between IN 39713 3710 47 the the DT 39713 3710 48 instants instant NNS 39713 3710 49 [ [ -LRB- 39713 3710 50 beta beta NN 39713 3710 51 ] ] -RRB- 39713 3710 52 and and CC 39713 3710 53 [ [ -LRB- 39713 3710 54 beta beta NN 39713 3710 55 ] ] -RRB- 39713 3710 56 ' ' '' 39713 3710 57 ; ; : 39713 3710 58 assume assume VB 39713 3710 59 this this DT 39713 3710 60 . . . 39713 3711 1 At at IN 39713 3711 2 the the DT 39713 3711 3 instant instant NN 39713 3711 4 [ [ -LRB- 39713 3711 5 alpha alpha NN 39713 3711 6 ] ] -RRB- 39713 3711 7 , , , 39713 3711 8 the the DT 39713 3711 9 object object NN 39713 3711 10 _ _ NNP 39713 3711 11 A A NNP 39713 3711 12 _ _ NNP 39713 3711 13 occupied occupy VBD 39713 3711 14 a a DT 39713 3711 15 certain certain JJ 39713 3711 16 point point NN 39713 3711 17 _ _ NNP 39713 3711 18 M M NNP 39713 3711 19 _ _ NNP 39713 3711 20 of of IN 39713 3711 21 space space NN 39713 3711 22 . . . 39713 3712 1 Now now RB 39713 3712 2 at at IN 39713 3712 3 this this DT 39713 3712 4 instant instant NN 39713 3712 5 it -PRON- PRP 39713 3712 6 touched touch VBD 39713 3712 7 my -PRON- PRP$ 39713 3712 8 first first JJ 39713 3712 9 finger finger NN 39713 3712 10 , , , 39713 3712 11 and and CC 39713 3712 12 _ _ NNP 39713 3712 13 as as IN 39713 3712 14 touch touch NN 39713 3712 15 does do VBZ 39713 3712 16 not not RB 39713 3712 17 operate operate VB 39713 3712 18 at at IN 39713 3712 19 a a DT 39713 3712 20 distance distance NN 39713 3712 21 _ _ NNP 39713 3712 22 , , , 39713 3712 23 my -PRON- PRP$ 39713 3712 24 first first JJ 39713 3712 25 finger finger NN 39713 3712 26 was be VBD 39713 3712 27 likewise likewise RB 39713 3712 28 at at IN 39713 3712 29 the the DT 39713 3712 30 point point NN 39713 3712 31 _ _ NNP 39713 3712 32 M M NNP 39713 3712 33 _ _ NNP 39713 3712 34 . . . 39713 3713 1 I -PRON- PRP 39713 3713 2 afterward afterward RB 39713 3713 3 made make VBD 39713 3713 4 the the DT 39713 3713 5 series series NN 39713 3713 6 _ _ NNP 39713 3713 7 S S NNP 39713 3713 8 _ _ NNP 39713 3713 9 of of IN 39713 3713 10 movements movement NNS 39713 3713 11 and and CC 39713 3713 12 at at IN 39713 3713 13 the the DT 39713 3713 14 end end NN 39713 3713 15 of of IN 39713 3713 16 this this DT 39713 3713 17 series series NN 39713 3713 18 , , , 39713 3713 19 at at IN 39713 3713 20 the the DT 39713 3713 21 instant instant NN 39713 3713 22 [ [ -LRB- 39713 3713 23 alpha alpha NN 39713 3713 24 ] ] -RRB- 39713 3713 25 ' ' '' 39713 3713 26 , , , 39713 3713 27 I -PRON- PRP 39713 3713 28 ascertained ascertain VBD 39713 3713 29 that that IN 39713 3713 30 the the DT 39713 3713 31 object object NN 39713 3713 32 _ _ NNP 39713 3713 33 A A NNP 39713 3713 34 _ _ NNP 39713 3713 35 touched touch VBD 39713 3713 36 my -PRON- PRP$ 39713 3713 37 second second JJ 39713 3713 38 finger finger NN 39713 3713 39 . . . 39713 3714 1 I -PRON- PRP 39713 3714 2 thence thence RB 39713 3714 3 conclude conclude VBP 39713 3714 4 that that IN 39713 3714 5 this this DT 39713 3714 6 second second JJ 39713 3714 7 finger finger NN 39713 3714 8 was be VBD 39713 3714 9 then then RB 39713 3714 10 at at IN 39713 3714 11 _ _ NNP 39713 3714 12 M M NNP 39713 3714 13 _ _ NNP 39713 3714 14 , , , 39713 3714 15 that that RB 39713 3714 16 is is RB 39713 3714 17 , , , 39713 3714 18 that that IN 39713 3714 19 the the DT 39713 3714 20 movements movement NNS 39713 3714 21 _ _ NNP 39713 3714 22 S S NNP 39713 3714 23 _ _ NNP 39713 3714 24 had have VBD 39713 3714 25 the the DT 39713 3714 26 result result NN 39713 3714 27 of of IN 39713 3714 28 bringing bring VBG 39713 3714 29 the the DT 39713 3714 30 second second JJ 39713 3714 31 finger finger NN 39713 3714 32 to to IN 39713 3714 33 the the DT 39713 3714 34 place place NN 39713 3714 35 of of IN 39713 3714 36 the the DT 39713 3714 37 first first JJ 39713 3714 38 . . . 39713 3715 1 At at IN 39713 3715 2 the the DT 39713 3715 3 instant instant NN 39713 3715 4 [ [ -LRB- 39713 3715 5 beta beta NN 39713 3715 6 ] ] -RRB- 39713 3715 7 the the DT 39713 3715 8 object object NN 39713 3715 9 _ _ NNP 39713 3715 10 B B NNP 39713 3715 11 _ _ NNP 39713 3715 12 has have VBZ 39713 3715 13 come come VBN 39713 3715 14 in in IN 39713 3715 15 contact contact NN 39713 3715 16 with with IN 39713 3715 17 my -PRON- PRP$ 39713 3715 18 second second JJ 39713 3715 19 finger finger NN 39713 3715 20 : : : 39713 3715 21 as as IN 39713 3715 22 I -PRON- PRP 39713 3715 23 have have VBP 39713 3715 24 not not RB 39713 3715 25 budged budge VBN 39713 3715 26 , , , 39713 3715 27 this this DT 39713 3715 28 second second JJ 39713 3715 29 finger finger NN 39713 3715 30 has have VBZ 39713 3715 31 remained remain VBN 39713 3715 32 at at IN 39713 3715 33 _ _ NNP 39713 3715 34 M M NNP 39713 3715 35 _ _ NNP 39713 3715 36 ; ; : 39713 3715 37 therefore therefore RB 39713 3715 38 the the DT 39713 3715 39 object object NN 39713 3715 40 _ _ NNP 39713 3715 41 B B NNP 39713 3715 42 _ _ NNP 39713 3715 43 has have VBZ 39713 3715 44 come come VBN 39713 3715 45 to to IN 39713 3715 46 _ _ NNP 39713 3715 47 M M NNP 39713 3715 48 _ _ NNP 39713 3715 49 ; ; : 39713 3715 50 by by IN 39713 3715 51 hypothesis hypothesis NN 39713 3715 52 it -PRON- PRP 39713 3715 53 does do VBZ 39713 3715 54 not not RB 39713 3715 55 budge budge VB 39713 3715 56 up up RP 39713 3715 57 to to IN 39713 3715 58 the the DT 39713 3715 59 instant instant NN 39713 3715 60 [ [ -LRB- 39713 3715 61 beta beta NN 39713 3715 62 ] ] -RRB- 39713 3715 63 ' ' '' 39713 3715 64 . . . 39713 3716 1 But but CC 39713 3716 2 between between IN 39713 3716 3 the the DT 39713 3716 4 instants instant NNS 39713 3716 5 [ [ -LRB- 39713 3716 6 beta beta NN 39713 3716 7 ] ] -RRB- 39713 3716 8 and and CC 39713 3716 9 [ [ -LRB- 39713 3716 10 beta beta NN 39713 3716 11 ] ] -RRB- 39713 3716 12 ' ' '' 39713 3716 13 I -PRON- PRP 39713 3716 14 have have VBP 39713 3716 15 made make VBN 39713 3716 16 the the DT 39713 3716 17 movements movement NNS 39713 3716 18 _ _ NNP 39713 3716 19 S S NNP 39713 3716 20 ' ' '' 39713 3716 21 _ _ NN 39713 3716 22 ; ; : 39713 3716 23 as as IN 39713 3716 24 these these DT 39713 3716 25 movements movement NNS 39713 3716 26 are be VBP 39713 3716 27 the the DT 39713 3716 28 inverse inverse NN 39713 3716 29 of of IN 39713 3716 30 the the DT 39713 3716 31 movements movement NNS 39713 3716 32 _ _ NNP 39713 3716 33 S S NNP 39713 3716 34 _ _ NNP 39713 3716 35 , , , 39713 3716 36 they -PRON- PRP 39713 3716 37 must must MD 39713 3716 38 have have VB 39713 3716 39 for for IN 39713 3716 40 effect effect NN 39713 3716 41 bringing bring VBG 39713 3716 42 the the DT 39713 3716 43 first first JJ 39713 3716 44 finger finger NN 39713 3716 45 in in IN 39713 3716 46 the the DT 39713 3716 47 place place NN 39713 3716 48 of of IN 39713 3716 49 the the DT 39713 3716 50 second second JJ 39713 3716 51 . . . 39713 3717 1 At at IN 39713 3717 2 the the DT 39713 3717 3 instant instant NN 39713 3717 4 [ [ -LRB- 39713 3717 5 beta beta NN 39713 3717 6 ] ] -RRB- 39713 3717 7 ' ' '' 39713 3717 8 this this DT 39713 3717 9 first first JJ 39713 3717 10 finger finger NN 39713 3717 11 will will MD 39713 3717 12 , , , 39713 3717 13 therefore therefore RB 39713 3717 14 , , , 39713 3717 15 be be VB 39713 3717 16 at at IN 39713 3717 17 _ _ NNP 39713 3717 18 M M NNP 39713 3717 19 _ _ NNP 39713 3717 20 ; ; : 39713 3717 21 and and CC 39713 3717 22 as as IN 39713 3717 23 the the DT 39713 3717 24 object object NN 39713 3717 25 _ _ NNP 39713 3717 26 B B NNP 39713 3717 27 _ _ NNP 39713 3717 28 is be VBZ 39713 3717 29 likewise likewise RB 39713 3717 30 at at IN 39713 3717 31 _ _ NNP 39713 3717 32 M M NNP 39713 3717 33 _ _ NNP 39713 3717 34 , , , 39713 3717 35 this this DT 39713 3717 36 object object NN 39713 3717 37 _ _ NNP 39713 3717 38 B B NNP 39713 3717 39 _ _ NNP 39713 3717 40 will will MD 39713 3717 41 touch touch VB 39713 3717 42 my -PRON- PRP$ 39713 3717 43 first first JJ 39713 3717 44 finger finger NN 39713 3717 45 . . . 39713 3718 1 To to IN 39713 3718 2 the the DT 39713 3718 3 question question NN 39713 3718 4 put put VBN 39713 3718 5 , , , 39713 3718 6 the the DT 39713 3718 7 answer answer NN 39713 3718 8 should should MD 39713 3718 9 therefore therefore RB 39713 3718 10 be be VB 39713 3718 11 yes yes UH 39713 3718 12 . . . 39713 3719 1 We -PRON- PRP 39713 3719 2 who who WP 39713 3719 3 do do VBP 39713 3719 4 not not RB 39713 3719 5 yet yet RB 39713 3719 6 know know VB 39713 3719 7 geometry geometry NN 39713 3719 8 can can MD 39713 3719 9 not not RB 39713 3719 10 reason reason VB 39713 3719 11 thus thus RB 39713 3719 12 ; ; : 39713 3719 13 but but CC 39713 3719 14 we -PRON- PRP 39713 3719 15 ascertain ascertain VBP 39713 3719 16 that that IN 39713 3719 17 this this DT 39713 3719 18 anticipation anticipation NN 39713 3719 19 is be VBZ 39713 3719 20 ordinarily ordinarily RB 39713 3719 21 realized realize VBN 39713 3719 22 ; ; : 39713 3719 23 and and CC 39713 3719 24 we -PRON- PRP 39713 3719 25 can can MD 39713 3719 26 always always RB 39713 3719 27 explain explain VB 39713 3719 28 the the DT 39713 3719 29 exceptions exception NNS 39713 3719 30 by by IN 39713 3719 31 saying say VBG 39713 3719 32 that that IN 39713 3719 33 the the DT 39713 3719 34 object object NN 39713 3719 35 _ _ NNP 39713 3719 36 A A NNP 39713 3719 37 _ _ NNP 39713 3719 38 has have VBZ 39713 3719 39 moved move VBN 39713 3719 40 between between IN 39713 3719 41 the the DT 39713 3719 42 instants instant NNS 39713 3719 43 [ [ -LRB- 39713 3719 44 alpha alpha NN 39713 3719 45 ] ] -RRB- 39713 3719 46 and and CC 39713 3719 47 [ [ -LRB- 39713 3719 48 alpha alpha NN 39713 3719 49 ] ] -RRB- 39713 3719 50 ' ' '' 39713 3719 51 , , , 39713 3719 52 or or CC 39713 3719 53 the the DT 39713 3719 54 object object NN 39713 3719 55 _ _ NNP 39713 3719 56 B B NNP 39713 3719 57 _ _ NNP 39713 3719 58 between between IN 39713 3719 59 the the DT 39713 3719 60 instants instant NNS 39713 3719 61 [ [ -LRB- 39713 3719 62 beta beta NN 39713 3719 63 ] ] -RRB- 39713 3719 64 and and CC 39713 3719 65 [ [ -LRB- 39713 3719 66 beta beta NN 39713 3719 67 ] ] -RRB- 39713 3719 68 ' ' '' 39713 3719 69 . . . 39713 3720 1 But but CC 39713 3720 2 could could MD 39713 3720 3 not not RB 39713 3720 4 experience experience VB 39713 3720 5 have have VBP 39713 3720 6 given give VBN 39713 3720 7 a a DT 39713 3720 8 contrary contrary JJ 39713 3720 9 result result NN 39713 3720 10 ? ? . 39713 3721 1 Would Would MD 39713 3721 2 this this DT 39713 3721 3 contrary contrary JJ 39713 3721 4 result result NN 39713 3721 5 have have VBP 39713 3721 6 been be VBN 39713 3721 7 absurd absurd JJ 39713 3721 8 in in IN 39713 3721 9 itself -PRON- PRP 39713 3721 10 ? ? . 39713 3722 1 Evidently evidently RB 39713 3722 2 not not RB 39713 3722 3 . . . 39713 3723 1 What what WP 39713 3723 2 should should MD 39713 3723 3 we -PRON- PRP 39713 3723 4 have have VB 39713 3723 5 done do VBN 39713 3723 6 then then RB 39713 3723 7 if if IN 39713 3723 8 experience experience NN 39713 3723 9 had have VBD 39713 3723 10 given give VBN 39713 3723 11 this this DT 39713 3723 12 contrary contrary JJ 39713 3723 13 result result NN 39713 3723 14 ? ? . 39713 3724 1 Would Would MD 39713 3724 2 all all DT 39713 3724 3 geometry geometry VB 39713 3724 4 thus thus RB 39713 3724 5 have have VBP 39713 3724 6 become become VBN 39713 3724 7 impossible impossible JJ 39713 3724 8 ? ? . 39713 3725 1 Not not RB 39713 3725 2 the the DT 39713 3725 3 least least JJS 39713 3725 4 in in IN 39713 3725 5 the the DT 39713 3725 6 world world NN 39713 3725 7 . . . 39713 3726 1 We -PRON- PRP 39713 3726 2 should should MD 39713 3726 3 have have VB 39713 3726 4 contented content VBN 39713 3726 5 ourselves -PRON- PRP 39713 3726 6 with with IN 39713 3726 7 concluding conclude VBG 39713 3726 8 _ _ NNP 39713 3726 9 that that DT 39713 3726 10 touch touch NN 39713 3726 11 can can MD 39713 3726 12 operate operate VB 39713 3726 13 at at IN 39713 3726 14 a a DT 39713 3726 15 distance distance NN 39713 3726 16 _ _ NNP 39713 3726 17 . . . 39713 3727 1 When when WRB 39713 3727 2 I -PRON- PRP 39713 3727 3 say say VBP 39713 3727 4 , , , 39713 3727 5 touch touch NN 39713 3727 6 does do VBZ 39713 3727 7 not not RB 39713 3727 8 operate operate VB 39713 3727 9 at at IN 39713 3727 10 a a DT 39713 3727 11 distance distance NN 39713 3727 12 , , , 39713 3727 13 but but CC 39713 3727 14 sight sight NN 39713 3727 15 operates operate VBZ 39713 3727 16 at at IN 39713 3727 17 a a DT 39713 3727 18 distance distance NN 39713 3727 19 , , , 39713 3727 20 this this DT 39713 3727 21 assertion assertion NN 39713 3727 22 has have VBZ 39713 3727 23 only only RB 39713 3727 24 one one CD 39713 3727 25 meaning meaning NN 39713 3727 26 , , , 39713 3727 27 which which WDT 39713 3727 28 is be VBZ 39713 3727 29 as as IN 39713 3727 30 follows follow VBZ 39713 3727 31 : : : 39713 3727 32 To to TO 39713 3727 33 recognize recognize VB 39713 3727 34 whether whether IN 39713 3727 35 _ _ NNP 39713 3727 36 B B NNP 39713 3727 37 _ _ NNP 39713 3727 38 occupies occupy VBZ 39713 3727 39 at at IN 39713 3727 40 the the DT 39713 3727 41 instant instant NN 39713 3727 42 [ [ -LRB- 39713 3727 43 beta beta NN 39713 3727 44 ] ] -RRB- 39713 3727 45 the the DT 39713 3727 46 point point NN 39713 3727 47 occupied occupy VBN 39713 3727 48 by by IN 39713 3727 49 _ _ NNP 39713 3727 50 A A NNP 39713 3727 51 _ _ NNP 39713 3727 52 at at IN 39713 3727 53 the the DT 39713 3727 54 instant instant NN 39713 3727 55 [ [ -LRB- 39713 3727 56 alpha alpha NN 39713 3727 57 ] ] -RRB- 39713 3727 58 , , , 39713 3727 59 I -PRON- PRP 39713 3727 60 can can MD 39713 3727 61 use use VB 39713 3727 62 a a DT 39713 3727 63 multitude multitude NN 39713 3727 64 of of IN 39713 3727 65 different different JJ 39713 3727 66 criteria criterion NNS 39713 3727 67 . . . 39713 3728 1 In in IN 39713 3728 2 one one CD 39713 3728 3 my -PRON- PRP$ 39713 3728 4 eye eye NN 39713 3728 5 intervenes intervene VBZ 39713 3728 6 , , , 39713 3728 7 in in IN 39713 3728 8 another another DT 39713 3728 9 my -PRON- PRP$ 39713 3728 10 first first JJ 39713 3728 11 finger finger NN 39713 3728 12 , , , 39713 3728 13 in in IN 39713 3728 14 another another DT 39713 3728 15 my -PRON- PRP$ 39713 3728 16 second second JJ 39713 3728 17 finger finger NN 39713 3728 18 , , , 39713 3728 19 etc etc FW 39713 3728 20 . . . 39713 3729 1 Well well UH 39713 3729 2 , , , 39713 3729 3 it -PRON- PRP 39713 3729 4 is be VBZ 39713 3729 5 sufficient sufficient JJ 39713 3729 6 for for IN 39713 3729 7 the the DT 39713 3729 8 criterion criterion NN 39713 3729 9 relative relative JJ 39713 3729 10 to to IN 39713 3729 11 one one CD 39713 3729 12 of of IN 39713 3729 13 my -PRON- PRP$ 39713 3729 14 fingers finger NNS 39713 3729 15 to to TO 39713 3729 16 be be VB 39713 3729 17 satisfied satisfied JJ 39713 3729 18 in in IN 39713 3729 19 order order NN 39713 3729 20 that that IN 39713 3729 21 all all PDT 39713 3729 22 the the DT 39713 3729 23 others other NNS 39713 3729 24 should should MD 39713 3729 25 be be VB 39713 3729 26 satisfied satisfied JJ 39713 3729 27 , , , 39713 3729 28 but but CC 39713 3729 29 it -PRON- PRP 39713 3729 30 is be VBZ 39713 3729 31 not not RB 39713 3729 32 sufficient sufficient JJ 39713 3729 33 that that IN 39713 3729 34 the the DT 39713 3729 35 criterion criterion NN 39713 3729 36 relative relative JJ 39713 3729 37 to to IN 39713 3729 38 the the DT 39713 3729 39 eye eye NN 39713 3729 40 should should MD 39713 3729 41 be be VB 39713 3729 42 . . . 39713 3730 1 This this DT 39713 3730 2 is be VBZ 39713 3730 3 the the DT 39713 3730 4 sense sense NN 39713 3730 5 of of IN 39713 3730 6 my -PRON- PRP$ 39713 3730 7 assertion assertion NN 39713 3730 8 . . . 39713 3731 1 I -PRON- PRP 39713 3731 2 content content VBP 39713 3731 3 myself -PRON- PRP 39713 3731 4 with with IN 39713 3731 5 affirming affirm VBG 39713 3731 6 an an DT 39713 3731 7 experimental experimental JJ 39713 3731 8 fact fact NN 39713 3731 9 which which WDT 39713 3731 10 is be VBZ 39713 3731 11 ordinarily ordinarily RB 39713 3731 12 verified verify VBN 39713 3731 13 . . . 39713 3732 1 At at IN 39713 3732 2 the the DT 39713 3732 3 end end NN 39713 3732 4 of of IN 39713 3732 5 the the DT 39713 3732 6 preceding precede VBG 39713 3732 7 chapter chapter NN 39713 3732 8 we -PRON- PRP 39713 3732 9 analyzed analyze VBD 39713 3732 10 visual visual JJ 39713 3732 11 space space NN 39713 3732 12 ; ; : 39713 3732 13 we -PRON- PRP 39713 3732 14 saw see VBD 39713 3732 15 that that DT 39713 3732 16 to to TO 39713 3732 17 engender engender VB 39713 3732 18 this this DT 39713 3732 19 space space NN 39713 3732 20 it -PRON- PRP 39713 3732 21 is be VBZ 39713 3732 22 necessary necessary JJ 39713 3732 23 to to TO 39713 3732 24 bring bring VB 39713 3732 25 in in RP 39713 3732 26 the the DT 39713 3732 27 retinal retinal JJ 39713 3732 28 sensations sensation NNS 39713 3732 29 , , , 39713 3732 30 the the DT 39713 3732 31 sensation sensation NN 39713 3732 32 of of IN 39713 3732 33 convergence convergence NN 39713 3732 34 and and CC 39713 3732 35 the the DT 39713 3732 36 sensation sensation NN 39713 3732 37 of of IN 39713 3732 38 accommodation accommodation NN 39713 3732 39 ; ; : 39713 3732 40 that that IN 39713 3732 41 if if IN 39713 3732 42 these these DT 39713 3732 43 last last JJ 39713 3732 44 two two CD 39713 3732 45 were be VBD 39713 3732 46 not not RB 39713 3732 47 always always RB 39713 3732 48 in in IN 39713 3732 49 accord accord NN 39713 3732 50 , , , 39713 3732 51 visual visual JJ 39713 3732 52 space space NN 39713 3732 53 would would MD 39713 3732 54 have have VB 39713 3732 55 four four CD 39713 3732 56 dimensions dimension NNS 39713 3732 57 in in IN 39713 3732 58 place place NN 39713 3732 59 of of IN 39713 3732 60 three three CD 39713 3732 61 ; ; : 39713 3732 62 we -PRON- PRP 39713 3732 63 also also RB 39713 3732 64 saw see VBD 39713 3732 65 that that IN 39713 3732 66 if if IN 39713 3732 67 we -PRON- PRP 39713 3732 68 brought bring VBD 39713 3732 69 in in RP 39713 3732 70 only only RB 39713 3732 71 the the DT 39713 3732 72 retinal retinal JJ 39713 3732 73 sensations sensation NNS 39713 3732 74 , , , 39713 3732 75 we -PRON- PRP 39713 3732 76 should should MD 39713 3732 77 obtain obtain VB 39713 3732 78 ' ' `` 39713 3732 79 simple simple JJ 39713 3732 80 visual visual JJ 39713 3732 81 space space NN 39713 3732 82 , , , 39713 3732 83 ' ' '' 39713 3732 84 of of IN 39713 3732 85 only only RB 39713 3732 86 two two CD 39713 3732 87 dimensions dimension NNS 39713 3732 88 . . . 39713 3733 1 On on IN 39713 3733 2 the the DT 39713 3733 3 other other JJ 39713 3733 4 hand hand NN 39713 3733 5 , , , 39713 3733 6 consider consider VB 39713 3733 7 tactile tactile NN 39713 3733 8 space space NN 39713 3733 9 , , , 39713 3733 10 limiting limit VBG 39713 3733 11 ourselves -PRON- PRP 39713 3733 12 to to IN 39713 3733 13 the the DT 39713 3733 14 sensations sensation NNS 39713 3733 15 of of IN 39713 3733 16 a a DT 39713 3733 17 single single JJ 39713 3733 18 finger finger NN 39713 3733 19 , , , 39713 3733 20 that that DT 39713 3733 21 is be VBZ 39713 3733 22 in in IN 39713 3733 23 sum sum NN 39713 3733 24 to to IN 39713 3733 25 the the DT 39713 3733 26 assemblage assemblage NN 39713 3733 27 of of IN 39713 3733 28 positions position NNS 39713 3733 29 this this DT 39713 3733 30 finger finger NN 39713 3733 31 can can MD 39713 3733 32 occupy occupy VB 39713 3733 33 . . . 39713 3734 1 This this DT 39713 3734 2 tactile tactile NN 39713 3734 3 space space NN 39713 3734 4 that that WDT 39713 3734 5 we -PRON- PRP 39713 3734 6 shall shall MD 39713 3734 7 analyze analyze VB 39713 3734 8 in in IN 39713 3734 9 the the DT 39713 3734 10 following following JJ 39713 3734 11 section section NN 39713 3734 12 and and CC 39713 3734 13 which which WDT 39713 3734 14 consequently consequently RB 39713 3734 15 I -PRON- PRP 39713 3734 16 ask ask VBP 39713 3734 17 permission permission NN 39713 3734 18 not not RB 39713 3734 19 to to TO 39713 3734 20 consider consider VB 39713 3734 21 further further RB 39713 3734 22 for for IN 39713 3734 23 the the DT 39713 3734 24 moment moment NN 39713 3734 25 , , , 39713 3734 26 this this DT 39713 3734 27 tactile tactile NN 39713 3734 28 space space NN 39713 3734 29 , , , 39713 3734 30 I -PRON- PRP 39713 3734 31 say say VBP 39713 3734 32 , , , 39713 3734 33 has have VBZ 39713 3734 34 three three CD 39713 3734 35 dimensions dimension NNS 39713 3734 36 . . . 39713 3735 1 Why why WRB 39713 3735 2 has have VBZ 39713 3735 3 space space NN 39713 3735 4 properly properly RB 39713 3735 5 so so RB 39713 3735 6 called call VBD 39713 3735 7 as as RB 39713 3735 8 many many JJ 39713 3735 9 dimensions dimension NNS 39713 3735 10 as as IN 39713 3735 11 tactile tactile NN 39713 3735 12 space space NN 39713 3735 13 and and CC 39713 3735 14 more more JJR 39713 3735 15 than than IN 39713 3735 16 simple simple JJ 39713 3735 17 visual visual JJ 39713 3735 18 space space NN 39713 3735 19 ? ? . 39713 3736 1 It -PRON- PRP 39713 3736 2 is be VBZ 39713 3736 3 because because IN 39713 3736 4 touch touch NN 39713 3736 5 does do VBZ 39713 3736 6 not not RB 39713 3736 7 operate operate VB 39713 3736 8 at at IN 39713 3736 9 a a DT 39713 3736 10 distance distance NN 39713 3736 11 , , , 39713 3736 12 while while IN 39713 3736 13 vision vision NN 39713 3736 14 does do VBZ 39713 3736 15 operate operate VB 39713 3736 16 at at IN 39713 3736 17 a a DT 39713 3736 18 distance distance NN 39713 3736 19 . . . 39713 3737 1 These these DT 39713 3737 2 two two CD 39713 3737 3 assertions assertion NNS 39713 3737 4 have have VBP 39713 3737 5 the the DT 39713 3737 6 same same JJ 39713 3737 7 meaning meaning NN 39713 3737 8 and and CC 39713 3737 9 we -PRON- PRP 39713 3737 10 have have VBP 39713 3737 11 just just RB 39713 3737 12 seen see VBN 39713 3737 13 what what WP 39713 3737 14 this this DT 39713 3737 15 is be VBZ 39713 3737 16 . . . 39713 3738 1 Now now RB 39713 3738 2 I -PRON- PRP 39713 3738 3 return return VBP 39713 3738 4 to to IN 39713 3738 5 a a DT 39713 3738 6 point point NN 39713 3738 7 over over IN 39713 3738 8 which which WDT 39713 3738 9 I -PRON- PRP 39713 3738 10 passed pass VBD 39713 3738 11 rapidly rapidly RB 39713 3738 12 in in IN 39713 3738 13 order order NN 39713 3738 14 not not RB 39713 3738 15 to to TO 39713 3738 16 interrupt interrupt VB 39713 3738 17 the the DT 39713 3738 18 discussion discussion NN 39713 3738 19 . . . 39713 3739 1 How how WRB 39713 3739 2 do do VBP 39713 3739 3 we -PRON- PRP 39713 3739 4 know know VB 39713 3739 5 that that IN 39713 3739 6 the the DT 39713 3739 7 impressions impression NNS 39713 3739 8 made make VBN 39713 3739 9 on on IN 39713 3739 10 our -PRON- PRP$ 39713 3739 11 retina retina NN 39713 3739 12 by by IN 39713 3739 13 _ _ NNP 39713 3739 14 A A NNP 39713 3739 15 _ _ NNP 39713 3739 16 at at IN 39713 3739 17 the the DT 39713 3739 18 instant instant NN 39713 3739 19 [ [ -LRB- 39713 3739 20 alpha alpha NN 39713 3739 21 ] ] -RRB- 39713 3739 22 and and CC 39713 3739 23 _ _ NNP 39713 3739 24 B B NNP 39713 3739 25 _ _ NNP 39713 3739 26 at at IN 39713 3739 27 the the DT 39713 3739 28 instant instant NN 39713 3739 29 [ [ -LRB- 39713 3739 30 beta beta NN 39713 3739 31 ] ] -RRB- 39713 3739 32 are be VBP 39713 3739 33 transmitted transmit VBN 39713 3739 34 by by IN 39713 3739 35 the the DT 39713 3739 36 same same JJ 39713 3739 37 retinal retinal JJ 39713 3739 38 fiber fiber NN 39713 3739 39 , , , 39713 3739 40 although although IN 39713 3739 41 these these DT 39713 3739 42 impressions impression NNS 39713 3739 43 are be VBP 39713 3739 44 qualitatively qualitatively RB 39713 3739 45 different different JJ 39713 3739 46 ? ? . 39713 3740 1 I -PRON- PRP 39713 3740 2 have have VBP 39713 3740 3 suggested suggest VBN 39713 3740 4 a a DT 39713 3740 5 simple simple JJ 39713 3740 6 hypothesis hypothesis NN 39713 3740 7 , , , 39713 3740 8 while while IN 39713 3740 9 adding add VBG 39713 3740 10 that that IN 39713 3740 11 other other JJ 39713 3740 12 hypotheses hypothesis NNS 39713 3740 13 , , , 39713 3740 14 decidedly decidedly RB 39713 3740 15 more more RBR 39713 3740 16 complex complex JJ 39713 3740 17 , , , 39713 3740 18 would would MD 39713 3740 19 seem seem VB 39713 3740 20 to to IN 39713 3740 21 me -PRON- PRP 39713 3740 22 more more RBR 39713 3740 23 probably probably RB 39713 3740 24 true true JJ 39713 3740 25 . . . 39713 3741 1 Here here RB 39713 3741 2 then then RB 39713 3741 3 are be VBP 39713 3741 4 these these DT 39713 3741 5 hypotheses hypothesis NNS 39713 3741 6 , , , 39713 3741 7 of of IN 39713 3741 8 which which WDT 39713 3741 9 I -PRON- PRP 39713 3741 10 have have VBP 39713 3741 11 already already RB 39713 3741 12 said say VBN 39713 3741 13 a a DT 39713 3741 14 word word NN 39713 3741 15 . . . 39713 3742 1 How how WRB 39713 3742 2 do do VBP 39713 3742 3 we -PRON- PRP 39713 3742 4 know know VB 39713 3742 5 that that IN 39713 3742 6 the the DT 39713 3742 7 impressions impression NNS 39713 3742 8 produced produce VBN 39713 3742 9 by by IN 39713 3742 10 the the DT 39713 3742 11 red red JJ 39713 3742 12 object object NN 39713 3742 13 A A NNP 39713 3742 14 at at IN 39713 3742 15 the the DT 39713 3742 16 instant instant NN 39713 3742 17 [ [ -LRB- 39713 3742 18 alpha alpha NN 39713 3742 19 ] ] -RRB- 39713 3742 20 , , , 39713 3742 21 and and CC 39713 3742 22 by by IN 39713 3742 23 the the DT 39713 3742 24 blue blue JJ 39713 3742 25 object object NN 39713 3742 26 _ _ NNP 39713 3742 27 B B NNP 39713 3742 28 _ _ NNP 39713 3742 29 at at IN 39713 3742 30 the the DT 39713 3742 31 instant instant NN 39713 3742 32 [ [ -LRB- 39713 3742 33 beta beta NN 39713 3742 34 ] ] -RRB- 39713 3742 35 , , , 39713 3742 36 if if IN 39713 3742 37 these these DT 39713 3742 38 two two CD 39713 3742 39 objects object NNS 39713 3742 40 have have VBP 39713 3742 41 been be VBN 39713 3742 42 imaged image VBN 39713 3742 43 on on IN 39713 3742 44 the the DT 39713 3742 45 same same JJ 39713 3742 46 point point NN 39713 3742 47 of of IN 39713 3742 48 the the DT 39713 3742 49 retina retina NNP 39713 3742 50 , , , 39713 3742 51 have have VB 39713 3742 52 something something NN 39713 3742 53 in in IN 39713 3742 54 common common JJ 39713 3742 55 ? ? . 39713 3743 1 The the DT 39713 3743 2 simple simple JJ 39713 3743 3 hypothesis hypothesis NN 39713 3743 4 above above IN 39713 3743 5 made make VBN 39713 3743 6 may may MD 39713 3743 7 be be VB 39713 3743 8 rejected reject VBN 39713 3743 9 and and CC 39713 3743 10 we -PRON- PRP 39713 3743 11 may may MD 39713 3743 12 suppose suppose VB 39713 3743 13 that that IN 39713 3743 14 these these DT 39713 3743 15 two two CD 39713 3743 16 impressions impression NNS 39713 3743 17 , , , 39713 3743 18 qualitatively qualitatively RB 39713 3743 19 different different JJ 39713 3743 20 , , , 39713 3743 21 are be VBP 39713 3743 22 transmitted transmit VBN 39713 3743 23 by by IN 39713 3743 24 two two CD 39713 3743 25 different different JJ 39713 3743 26 though though IN 39713 3743 27 contiguous contiguous JJ 39713 3743 28 nervous nervous JJ 39713 3743 29 fibers fiber NNS 39713 3743 30 . . . 39713 3744 1 What what WP 39713 3744 2 means mean VBZ 39713 3744 3 have have VBP 39713 3744 4 I -PRON- PRP 39713 3744 5 then then RB 39713 3744 6 of of IN 39713 3744 7 knowing know VBG 39713 3744 8 that that IN 39713 3744 9 these these DT 39713 3744 10 fibers fiber NNS 39713 3744 11 are be VBP 39713 3744 12 contiguous contiguous JJ 39713 3744 13 ? ? . 39713 3745 1 It -PRON- PRP 39713 3745 2 is be VBZ 39713 3745 3 probable probable JJ 39713 3745 4 that that IN 39713 3745 5 we -PRON- PRP 39713 3745 6 should should MD 39713 3745 7 have have VB 39713 3745 8 none none NN 39713 3745 9 , , , 39713 3745 10 if if IN 39713 3745 11 the the DT 39713 3745 12 eye eye NN 39713 3745 13 were be VBD 39713 3745 14 immovable immovable JJ 39713 3745 15 . . . 39713 3746 1 It -PRON- PRP 39713 3746 2 is be VBZ 39713 3746 3 the the DT 39713 3746 4 movements movement NNS 39713 3746 5 of of IN 39713 3746 6 the the DT 39713 3746 7 eye eye NN 39713 3746 8 which which WDT 39713 3746 9 have have VBP 39713 3746 10 told tell VBN 39713 3746 11 us -PRON- PRP 39713 3746 12 that that IN 39713 3746 13 there there EX 39713 3746 14 is be VBZ 39713 3746 15 the the DT 39713 3746 16 same same JJ 39713 3746 17 relation relation NN 39713 3746 18 between between IN 39713 3746 19 the the DT 39713 3746 20 sensation sensation NN 39713 3746 21 of of IN 39713 3746 22 blue blue NNP 39713 3746 23 at at IN 39713 3746 24 the the DT 39713 3746 25 point point NN 39713 3746 26 _ _ NNP 39713 3746 27 A A NNP 39713 3746 28 _ _ NNP 39713 3746 29 and and CC 39713 3746 30 the the DT 39713 3746 31 sensation sensation NN 39713 3746 32 of of IN 39713 3746 33 blue blue NNP 39713 3746 34 at at IN 39713 3746 35 the the DT 39713 3746 36 point point NN 39713 3746 37 _ _ NNP 39713 3746 38 B B NNP 39713 3746 39 _ _ NNP 39713 3746 40 of of IN 39713 3746 41 the the DT 39713 3746 42 retina retina NNP 39713 3746 43 as as IN 39713 3746 44 between between IN 39713 3746 45 the the DT 39713 3746 46 sensation sensation NN 39713 3746 47 of of IN 39713 3746 48 red red NNP 39713 3746 49 at at IN 39713 3746 50 the the DT 39713 3746 51 point point NN 39713 3746 52 _ _ NNP 39713 3746 53 A A NNP 39713 3746 54 _ _ NNP 39713 3746 55 and and CC 39713 3746 56 the the DT 39713 3746 57 sensation sensation NN 39713 3746 58 of of IN 39713 3746 59 red red NNP 39713 3746 60 at at IN 39713 3746 61 the the DT 39713 3746 62 point point NN 39713 3746 63 _ _ NNP 39713 3746 64 B B NNP 39713 3746 65 _ _ NNP 39713 3746 66 . . . 39713 3747 1 They -PRON- PRP 39713 3747 2 have have VBP 39713 3747 3 shown show VBN 39713 3747 4 us -PRON- PRP 39713 3747 5 , , , 39713 3747 6 in in IN 39713 3747 7 fact fact NN 39713 3747 8 , , , 39713 3747 9 that that IN 39713 3747 10 the the DT 39713 3747 11 same same JJ 39713 3747 12 movements movement NNS 39713 3747 13 , , , 39713 3747 14 corresponding correspond VBG 39713 3747 15 to to IN 39713 3747 16 the the DT 39713 3747 17 same same JJ 39713 3747 18 muscular muscular JJ 39713 3747 19 sensations sensation NNS 39713 3747 20 , , , 39713 3747 21 carry carry VB 39713 3747 22 us -PRON- PRP 39713 3747 23 from from IN 39713 3747 24 the the DT 39713 3747 25 first first JJ 39713 3747 26 to to IN 39713 3747 27 the the DT 39713 3747 28 second second JJ 39713 3747 29 , , , 39713 3747 30 or or CC 39713 3747 31 from from IN 39713 3747 32 the the DT 39713 3747 33 third third JJ 39713 3747 34 to to IN 39713 3747 35 the the DT 39713 3747 36 fourth fourth JJ 39713 3747 37 . . . 39713 3748 1 I -PRON- PRP 39713 3748 2 do do VBP 39713 3748 3 not not RB 39713 3748 4 emphasize emphasize VB 39713 3748 5 these these DT 39713 3748 6 considerations consideration NNS 39713 3748 7 , , , 39713 3748 8 which which WDT 39713 3748 9 belong belong VBP 39713 3748 10 , , , 39713 3748 11 as as IN 39713 3748 12 one one CD 39713 3748 13 sees see VBZ 39713 3748 14 , , , 39713 3748 15 to to IN 39713 3748 16 the the DT 39713 3748 17 question question NN 39713 3748 18 of of IN 39713 3748 19 local local JJ 39713 3748 20 signs sign NNS 39713 3748 21 raised raise VBN 39713 3748 22 by by IN 39713 3748 23 Lotze Lotze NNP 39713 3748 24 . . . 39713 3749 1 3 3 LS 39713 3749 2 . . . 39713 3750 1 _ _ NNP 39713 3750 2 Tactile Tactile NNP 39713 3750 3 Space Space NNP 39713 3750 4 _ _ NNP 39713 3750 5 Thus thus RB 39713 3750 6 I -PRON- PRP 39713 3750 7 know know VBP 39713 3750 8 how how WRB 39713 3750 9 to to TO 39713 3750 10 recognize recognize VB 39713 3750 11 the the DT 39713 3750 12 identity identity NN 39713 3750 13 of of IN 39713 3750 14 two two CD 39713 3750 15 points point NNS 39713 3750 16 , , , 39713 3750 17 the the DT 39713 3750 18 point point NN 39713 3750 19 occupied occupy VBN 39713 3750 20 by by IN 39713 3750 21 _ _ NNP 39713 3750 22 A A NNP 39713 3750 23 _ _ NNP 39713 3750 24 at at IN 39713 3750 25 the the DT 39713 3750 26 instant instant NN 39713 3750 27 [ [ -LRB- 39713 3750 28 alpha alpha NN 39713 3750 29 ] ] -RRB- 39713 3750 30 and and CC 39713 3750 31 the the DT 39713 3750 32 point point NN 39713 3750 33 occupied occupy VBN 39713 3750 34 by by IN 39713 3750 35 _ _ NNP 39713 3750 36 B B NNP 39713 3750 37 _ _ NNP 39713 3750 38 at at IN 39713 3750 39 the the DT 39713 3750 40 instant instant NN 39713 3750 41 [ [ -LRB- 39713 3750 42 beta beta NN 39713 3750 43 ] ] -RRB- 39713 3750 44 , , , 39713 3750 45 but but CC 39713 3750 46 only only RB 39713 3750 47 _ _ NNP 39713 3750 48 on on IN 39713 3750 49 one one CD 39713 3750 50 condition condition NN 39713 3750 51 _ _ NNP 39713 3750 52 , , , 39713 3750 53 namely namely RB 39713 3750 54 , , , 39713 3750 55 that that IN 39713 3750 56 I -PRON- PRP 39713 3750 57 have have VBP 39713 3750 58 not not RB 39713 3750 59 budged budge VBN 39713 3750 60 between between IN 39713 3750 61 the the DT 39713 3750 62 instants instant NNS 39713 3750 63 [ [ -LRB- 39713 3750 64 alpha alpha NN 39713 3750 65 ] ] -RRB- 39713 3750 66 and and CC 39713 3750 67 [ [ -LRB- 39713 3750 68 beta beta NN 39713 3750 69 ] ] -RRB- 39713 3750 70 . . . 39713 3751 1 That that DT 39713 3751 2 does do VBZ 39713 3751 3 not not RB 39713 3751 4 suffice suffice VB 39713 3751 5 for for IN 39713 3751 6 our -PRON- PRP$ 39713 3751 7 object object NN 39713 3751 8 . . . 39713 3752 1 Suppose suppose VB 39713 3752 2 , , , 39713 3752 3 therefore therefore RB 39713 3752 4 , , , 39713 3752 5 that that IN 39713 3752 6 I -PRON- PRP 39713 3752 7 have have VBP 39713 3752 8 moved move VBN 39713 3752 9 in in IN 39713 3752 10 any any DT 39713 3752 11 manner manner NN 39713 3752 12 in in IN 39713 3752 13 the the DT 39713 3752 14 interval interval NN 39713 3752 15 between between IN 39713 3752 16 these these DT 39713 3752 17 two two CD 39713 3752 18 instants instant NNS 39713 3752 19 , , , 39713 3752 20 how how WRB 39713 3752 21 shall shall MD 39713 3752 22 I -PRON- PRP 39713 3752 23 know know VB 39713 3752 24 whether whether IN 39713 3752 25 the the DT 39713 3752 26 point point NN 39713 3752 27 occupied occupy VBN 39713 3752 28 by by IN 39713 3752 29 _ _ NNP 39713 3752 30 A A NNP 39713 3752 31 _ _ NNP 39713 3752 32 at at IN 39713 3752 33 the the DT 39713 3752 34 instant instant NN 39713 3752 35 [ [ -LRB- 39713 3752 36 alpha alpha NN 39713 3752 37 ] ] -RRB- 39713 3752 38 is be VBZ 39713 3752 39 identical identical JJ 39713 3752 40 with with IN 39713 3752 41 the the DT 39713 3752 42 point point NN 39713 3752 43 occupied occupy VBN 39713 3752 44 by by IN 39713 3752 45 _ _ NNP 39713 3752 46 B B NNP 39713 3752 47 _ _ NNP 39713 3752 48 at at IN 39713 3752 49 the the DT 39713 3752 50 instant instant NN 39713 3752 51 [ [ -LRB- 39713 3752 52 beta beta NN 39713 3752 53 ] ] -RRB- 39713 3752 54 ? ? . 39713 3753 1 I -PRON- PRP 39713 3753 2 suppose suppose VBP 39713 3753 3 that that IN 39713 3753 4 at at IN 39713 3753 5 the the DT 39713 3753 6 instant instant NN 39713 3753 7 [ [ -LRB- 39713 3753 8 alpha alpha NN 39713 3753 9 ] ] -RRB- 39713 3753 10 , , , 39713 3753 11 the the DT 39713 3753 12 object object NN 39713 3753 13 _ _ NNP 39713 3753 14 A A NNP 39713 3753 15 _ _ NNP 39713 3753 16 was be VBD 39713 3753 17 in in IN 39713 3753 18 contact contact NN 39713 3753 19 with with IN 39713 3753 20 my -PRON- PRP$ 39713 3753 21 first first JJ 39713 3753 22 finger finger NN 39713 3753 23 and and CC 39713 3753 24 that that IN 39713 3753 25 in in IN 39713 3753 26 the the DT 39713 3753 27 same same JJ 39713 3753 28 way way NN 39713 3753 29 , , , 39713 3753 30 at at IN 39713 3753 31 the the DT 39713 3753 32 instant instant NN 39713 3753 33 [ [ -LRB- 39713 3753 34 beta beta NN 39713 3753 35 ] ] -RRB- 39713 3753 36 , , , 39713 3753 37 the the DT 39713 3753 38 object object NN 39713 3753 39 _ _ NNP 39713 3753 40 B B NNP 39713 3753 41 _ _ NNP 39713 3753 42 touches touch VBZ 39713 3753 43 this this DT 39713 3753 44 first first JJ 39713 3753 45 finger finger NN 39713 3753 46 ; ; : 39713 3753 47 but but CC 39713 3753 48 at at IN 39713 3753 49 the the DT 39713 3753 50 same same JJ 39713 3753 51 time time NN 39713 3753 52 my -PRON- PRP$ 39713 3753 53 muscular muscular JJ 39713 3753 54 sense sense NN 39713 3753 55 has have VBZ 39713 3753 56 told tell VBD 39713 3753 57 me -PRON- PRP 39713 3753 58 that that IN 39713 3753 59 in in IN 39713 3753 60 the the DT 39713 3753 61 interval interval NN 39713 3753 62 my -PRON- PRP$ 39713 3753 63 body body NN 39713 3753 64 has have VBZ 39713 3753 65 moved move VBN 39713 3753 66 . . . 39713 3754 1 I -PRON- PRP 39713 3754 2 have have VBP 39713 3754 3 considered consider VBN 39713 3754 4 above above IN 39713 3754 5 two two CD 39713 3754 6 series series NN 39713 3754 7 of of IN 39713 3754 8 muscular muscular JJ 39713 3754 9 sensations sensation NNS 39713 3754 10 _ _ NNP 39713 3754 11 S S NNP 39713 3754 12 _ _ NNP 39713 3754 13 and and CC 39713 3754 14 _ _ NNP 39713 3754 15 S S NNP 39713 3754 16 ' ' '' 39713 3754 17 _ _ NNP 39713 3754 18 , , , 39713 3754 19 and and CC 39713 3754 20 I -PRON- PRP 39713 3754 21 have have VBP 39713 3754 22 said say VBN 39713 3754 23 it -PRON- PRP 39713 3754 24 sometimes sometimes RB 39713 3754 25 happens happen VBZ 39713 3754 26 that that IN 39713 3754 27 we -PRON- PRP 39713 3754 28 are be VBP 39713 3754 29 led lead VBN 39713 3754 30 to to TO 39713 3754 31 consider consider VB 39713 3754 32 two two CD 39713 3754 33 such such JJ 39713 3754 34 series series NN 39713 3754 35 _ _ NNP 39713 3754 36 S S NNP 39713 3754 37 _ _ NNP 39713 3754 38 and and CC 39713 3754 39 _ _ NNP 39713 3754 40 S S NNP 39713 3754 41 ' ' '' 39713 3754 42 _ _ NNP 39713 3754 43 as as IN 39713 3754 44 inverse inverse NN 39713 3754 45 one one CD 39713 3754 46 of of IN 39713 3754 47 the the DT 39713 3754 48 other other JJ 39713 3754 49 , , , 39713 3754 50 because because IN 39713 3754 51 we -PRON- PRP 39713 3754 52 have have VBP 39713 3754 53 often often RB 39713 3754 54 observed observe VBN 39713 3754 55 that that IN 39713 3754 56 when when WRB 39713 3754 57 these these DT 39713 3754 58 two two CD 39713 3754 59 series series NN 39713 3754 60 succeed succeed VBP 39713 3754 61 one one CD 39713 3754 62 another another DT 39713 3754 63 our -PRON- PRP$ 39713 3754 64 primitive primitive JJ 39713 3754 65 impressions impression NNS 39713 3754 66 are be VBP 39713 3754 67 reestablished reestablish VBN 39713 3754 68 . . . 39713 3755 1 If if IN 39713 3755 2 then then RB 39713 3755 3 my -PRON- PRP$ 39713 3755 4 muscular muscular JJ 39713 3755 5 sense sense NN 39713 3755 6 tells tell VBZ 39713 3755 7 me -PRON- PRP 39713 3755 8 that that IN 39713 3755 9 I -PRON- PRP 39713 3755 10 have have VBP 39713 3755 11 moved move VBN 39713 3755 12 between between IN 39713 3755 13 the the DT 39713 3755 14 two two CD 39713 3755 15 instants instant NNS 39713 3755 16 [ [ -LRB- 39713 3755 17 alpha alpha NN 39713 3755 18 ] ] -RRB- 39713 3755 19 and and CC 39713 3755 20 [ [ -LRB- 39713 3755 21 beta beta NN 39713 3755 22 ] ] -RRB- 39713 3755 23 , , , 39713 3755 24 but but CC 39713 3755 25 so so IN 39713 3755 26 as as IN 39713 3755 27 to to TO 39713 3755 28 feel feel VB 39713 3755 29 successively successively RB 39713 3755 30 the the DT 39713 3755 31 two two CD 39713 3755 32 series series NN 39713 3755 33 of of IN 39713 3755 34 muscular muscular JJ 39713 3755 35 sensations sensation NNS 39713 3755 36 _ _ NNP 39713 3755 37 S S NNP 39713 3755 38 _ _ NNP 39713 3755 39 and and CC 39713 3755 40 _ _ NNP 39713 3755 41 S S NNP 39713 3755 42 ' ' '' 39713 3755 43 _ _ XX 39713 3755 44 that that WDT 39713 3755 45 I -PRON- PRP 39713 3755 46 consider consider VBP 39713 3755 47 inverses inverse NNS 39713 3755 48 , , , 39713 3755 49 I -PRON- PRP 39713 3755 50 shall shall MD 39713 3755 51 still still RB 39713 3755 52 conclude conclude VB 39713 3755 53 , , , 39713 3755 54 just just RB 39713 3755 55 as as IN 39713 3755 56 if if IN 39713 3755 57 I -PRON- PRP 39713 3755 58 had have VBD 39713 3755 59 not not RB 39713 3755 60 budged budge VBN 39713 3755 61 , , , 39713 3755 62 that that IN 39713 3755 63 the the DT 39713 3755 64 points point NNS 39713 3755 65 occupied occupy VBN 39713 3755 66 by by IN 39713 3755 67 _ _ NNP 39713 3755 68 A A NNP 39713 3755 69 _ _ NNP 39713 3755 70 at at IN 39713 3755 71 the the DT 39713 3755 72 instant instant NN 39713 3755 73 [ [ -LRB- 39713 3755 74 alpha alpha NN 39713 3755 75 ] ] -RRB- 39713 3755 76 and and CC 39713 3755 77 by by IN 39713 3755 78 _ _ NNP 39713 3755 79 B B NNP 39713 3755 80 _ _ NNP 39713 3755 81 at at IN 39713 3755 82 the the DT 39713 3755 83 instant instant NN 39713 3755 84 [ [ -LRB- 39713 3755 85 beta beta NN 39713 3755 86 ] ] -RRB- 39713 3755 87 are be VBP 39713 3755 88 identical identical JJ 39713 3755 89 , , , 39713 3755 90 if if IN 39713 3755 91 I -PRON- PRP 39713 3755 92 ascertain ascertain VBP 39713 3755 93 that that IN 39713 3755 94 my -PRON- PRP$ 39713 3755 95 first first JJ 39713 3755 96 finger finger NN 39713 3755 97 touches touch VBZ 39713 3755 98 _ _ NNP 39713 3755 99 A A NNP 39713 3755 100 _ _ NNP 39713 3755 101 at at IN 39713 3755 102 the the DT 39713 3755 103 instant instant NN 39713 3755 104 [ [ -LRB- 39713 3755 105 alpha alpha NN 39713 3755 106 ] ] -RRB- 39713 3755 107 , , , 39713 3755 108 and and CC 39713 3755 109 _ _ NNP 39713 3755 110 B B NNP 39713 3755 111 _ _ NNP 39713 3755 112 at at IN 39713 3755 113 the the DT 39713 3755 114 instant instant NN 39713 3755 115 [ [ -LRB- 39713 3755 116 beta beta NN 39713 3755 117 ] ] -RRB- 39713 3755 118 . . . 39713 3756 1 This this DT 39713 3756 2 solution solution NN 39713 3756 3 is be VBZ 39713 3756 4 not not RB 39713 3756 5 yet yet RB 39713 3756 6 completely completely RB 39713 3756 7 satisfactory satisfactory JJ 39713 3756 8 , , , 39713 3756 9 as as IN 39713 3756 10 one one PRP 39713 3756 11 will will MD 39713 3756 12 see see VB 39713 3756 13 . . . 39713 3757 1 Let let VB 39713 3757 2 us -PRON- PRP 39713 3757 3 see see VB 39713 3757 4 , , , 39713 3757 5 in in IN 39713 3757 6 fact fact NN 39713 3757 7 , , , 39713 3757 8 how how WRB 39713 3757 9 many many JJ 39713 3757 10 dimensions dimension NNS 39713 3757 11 it -PRON- PRP 39713 3757 12 would would MD 39713 3757 13 make make VB 39713 3757 14 us -PRON- PRP 39713 3757 15 attribute attribute VB 39713 3757 16 to to IN 39713 3757 17 space space NN 39713 3757 18 . . . 39713 3758 1 I -PRON- PRP 39713 3758 2 wish wish VBP 39713 3758 3 to to TO 39713 3758 4 compare compare VB 39713 3758 5 the the DT 39713 3758 6 two two CD 39713 3758 7 points point NNS 39713 3758 8 occupied occupy VBN 39713 3758 9 by by IN 39713 3758 10 _ _ NNP 39713 3758 11 A A NNP 39713 3758 12 _ _ NNP 39713 3758 13 and and CC 39713 3758 14 _ _ NNP 39713 3758 15 B B NNP 39713 3758 16 _ _ NNP 39713 3758 17 at at IN 39713 3758 18 the the DT 39713 3758 19 instants instant NNS 39713 3758 20 [ [ -LRB- 39713 3758 21 alpha alpha NN 39713 3758 22 ] ] -RRB- 39713 3758 23 and and CC 39713 3758 24 [ [ -LRB- 39713 3758 25 beta beta NN 39713 3758 26 ] ] -RRB- 39713 3758 27 , , , 39713 3758 28 or or CC 39713 3758 29 ( ( -LRB- 39713 3758 30 what what WP 39713 3758 31 amounts amount VBZ 39713 3758 32 to to IN 39713 3758 33 the the DT 39713 3758 34 same same JJ 39713 3758 35 thing thing NN 39713 3758 36 since since IN 39713 3758 37 I -PRON- PRP 39713 3758 38 suppose suppose VBP 39713 3758 39 that that IN 39713 3758 40 my -PRON- PRP$ 39713 3758 41 finger finger NN 39713 3758 42 touches touch VBZ 39713 3758 43 _ _ NNP 39713 3758 44 A A NNP 39713 3758 45 _ _ NNP 39713 3758 46 at at IN 39713 3758 47 the the DT 39713 3758 48 instant instant NN 39713 3758 49 [ [ -LRB- 39713 3758 50 alpha alpha NN 39713 3758 51 ] ] -RRB- 39713 3758 52 and and CC 39713 3758 53 _ _ NNP 39713 3758 54 B B NNP 39713 3758 55 _ _ NNP 39713 3758 56 at at IN 39713 3758 57 the the DT 39713 3758 58 instant instant NN 39713 3758 59 [ [ -LRB- 39713 3758 60 beta beta NN 39713 3758 61 ] ] -RRB- 39713 3758 62 ) ) -RRB- 39713 3758 63 I -PRON- PRP 39713 3758 64 wish wish VBP 39713 3758 65 to to TO 39713 3758 66 compare compare VB 39713 3758 67 the the DT 39713 3758 68 two two CD 39713 3758 69 points point NNS 39713 3758 70 occupied occupy VBN 39713 3758 71 by by IN 39713 3758 72 my -PRON- PRP$ 39713 3758 73 finger finger NN 39713 3758 74 at at IN 39713 3758 75 the the DT 39713 3758 76 two two CD 39713 3758 77 instants instant NNS 39713 3758 78 [ [ -LRB- 39713 3758 79 alpha alpha NN 39713 3758 80 ] ] -RRB- 39713 3758 81 and and CC 39713 3758 82 [ [ -LRB- 39713 3758 83 beta beta NN 39713 3758 84 ] ] -RRB- 39713 3758 85 . . . 39713 3759 1 The the DT 39713 3759 2 sole sole JJ 39713 3759 3 means mean VBZ 39713 3759 4 I -PRON- PRP 39713 3759 5 use use VBP 39713 3759 6 for for IN 39713 3759 7 this this DT 39713 3759 8 comparison comparison NN 39713 3759 9 is be VBZ 39713 3759 10 the the DT 39713 3759 11 series series NN 39713 3759 12 [ [ -LRB- 39713 3759 13 Sigma Sigma NNP 39713 3759 14 ] ] -RRB- 39713 3759 15 of of IN 39713 3759 16 muscular muscular JJ 39713 3759 17 sensations sensation NNS 39713 3759 18 which which WDT 39713 3759 19 have have VBP 39713 3759 20 accompanied accompany VBN 39713 3759 21 the the DT 39713 3759 22 movements movement NNS 39713 3759 23 of of IN 39713 3759 24 my -PRON- PRP$ 39713 3759 25 body body NN 39713 3759 26 between between IN 39713 3759 27 these these DT 39713 3759 28 two two CD 39713 3759 29 instants instant NNS 39713 3759 30 . . . 39713 3760 1 The the DT 39713 3760 2 different different JJ 39713 3760 3 imaginable imaginable JJ 39713 3760 4 series series NN 39713 3760 5 [ [ -LRB- 39713 3760 6 Sigma Sigma NNP 39713 3760 7 ] ] -RRB- 39713 3760 8 form form NN 39713 3760 9 evidently evidently RB 39713 3760 10 a a DT 39713 3760 11 physical physical JJ 39713 3760 12 continuum continuum NN 39713 3760 13 of of IN 39713 3760 14 which which WDT 39713 3760 15 the the DT 39713 3760 16 number number NN 39713 3760 17 of of IN 39713 3760 18 dimensions dimension NNS 39713 3760 19 is be VBZ 39713 3760 20 very very RB 39713 3760 21 great great JJ 39713 3760 22 . . . 39713 3761 1 Let let VB 39713 3761 2 us -PRON- PRP 39713 3761 3 agree agree VB 39713 3761 4 , , , 39713 3761 5 as as IN 39713 3761 6 I -PRON- PRP 39713 3761 7 have have VBP 39713 3761 8 done do VBN 39713 3761 9 , , , 39713 3761 10 not not RB 39713 3761 11 to to TO 39713 3761 12 consider consider VB 39713 3761 13 as as RB 39713 3761 14 distinct distinct JJ 39713 3761 15 the the DT 39713 3761 16 two two CD 39713 3761 17 series series NN 39713 3761 18 [ [ -LRB- 39713 3761 19 Sigma Sigma NNP 39713 3761 20 ] ] -RRB- 39713 3761 21 and and CC 39713 3761 22 [ [ -LRB- 39713 3761 23 Sigma Sigma NNP 39713 3761 24 ] ] -RRB- 39713 3761 25 + + CC 39713 3761 26 _ _ NNP 39713 3761 27 S S NNP 39713 3761 28 _ _ NNP 39713 3761 29 + + NNP 39713 3761 30 _ _ NNP 39713 3761 31 S S NNP 39713 3761 32 ' ' '' 39713 3761 33 _ _ NNP 39713 3761 34 , , , 39713 3761 35 when when WRB 39713 3761 36 _ _ NNP 39713 3761 37 S S NNP 39713 3761 38 _ _ NNP 39713 3761 39 and and CC 39713 3761 40 _ _ NNP 39713 3761 41 S S NNP 39713 3761 42 ' ' '' 39713 3761 43 _ _ NNP 39713 3761 44 are be VBP 39713 3761 45 inverses inverse NNS 39713 3761 46 one one CD 39713 3761 47 of of IN 39713 3761 48 the the DT 39713 3761 49 other other JJ 39713 3761 50 in in IN 39713 3761 51 the the DT 39713 3761 52 sense sense NN 39713 3761 53 above above IN 39713 3761 54 given give VBN 39713 3761 55 to to IN 39713 3761 56 this this DT 39713 3761 57 word word NN 39713 3761 58 ; ; : 39713 3761 59 in in IN 39713 3761 60 spite spite NN 39713 3761 61 of of IN 39713 3761 62 this this DT 39713 3761 63 agreement agreement NN 39713 3761 64 , , , 39713 3761 65 the the DT 39713 3761 66 aggregate aggregate NN 39713 3761 67 of of IN 39713 3761 68 distinct distinct JJ 39713 3761 69 series series NN 39713 3761 70 [ [ -LRB- 39713 3761 71 Sigma Sigma NNP 39713 3761 72 ] ] -RRB- 39713 3761 73 will will MD 39713 3761 74 still still RB 39713 3761 75 form form VB 39713 3761 76 a a DT 39713 3761 77 physical physical JJ 39713 3761 78 continuum continuum NN 39713 3761 79 and and CC 39713 3761 80 the the DT 39713 3761 81 number number NN 39713 3761 82 of of IN 39713 3761 83 dimensions dimension NNS 39713 3761 84 will will MD 39713 3761 85 be be VB 39713 3761 86 less less JJR 39713 3761 87 but but CC 39713 3761 88 still still RB 39713 3761 89 very very RB 39713 3761 90 great great JJ 39713 3761 91 . . . 39713 3762 1 To to IN 39713 3762 2 each each DT 39713 3762 3 of of IN 39713 3762 4 these these DT 39713 3762 5 series series NN 39713 3762 6 [ [ -LRB- 39713 3762 7 Sigma Sigma NNP 39713 3762 8 ] ] -RRB- 39713 3762 9 corresponds correspond VBZ 39713 3762 10 a a DT 39713 3762 11 point point NN 39713 3762 12 of of IN 39713 3762 13 space space NN 39713 3762 14 ; ; : 39713 3762 15 to to IN 39713 3762 16 two two CD 39713 3762 17 series serie NNS 39713 3762 18 [ [ -LRB- 39713 3762 19 Sigma Sigma NNP 39713 3762 20 ] ] -RRB- 39713 3762 21 and and CC 39713 3762 22 [ [ -LRB- 39713 3762 23 Sigma Sigma NNP 39713 3762 24 ] ] -RRB- 39713 3762 25 ' ' `` 39713 3762 26 thus thus RB 39713 3762 27 correspond correspond VB 39713 3762 28 two two CD 39713 3762 29 points point NNS 39713 3762 30 _ _ NNP 39713 3762 31 M M NNP 39713 3762 32 _ _ NNP 39713 3762 33 and and CC 39713 3762 34 _ _ NNP 39713 3762 35 M M NNP 39713 3762 36 ' ' '' 39713 3762 37 _ _ NNP 39713 3762 38 . . . 39713 3763 1 The the DT 39713 3763 2 means mean NNS 39713 3763 3 we -PRON- PRP 39713 3763 4 have have VBP 39713 3763 5 hitherto hitherto VBN 39713 3763 6 used use VBN 39713 3763 7 enable enable VB 39713 3763 8 us -PRON- PRP 39713 3763 9 to to TO 39713 3763 10 recognize recognize VB 39713 3763 11 that that IN 39713 3763 12 _ _ NNP 39713 3763 13 M M NNP 39713 3763 14 _ _ NNP 39713 3763 15 and and CC 39713 3763 16 _ _ NNP 39713 3763 17 M M NNP 39713 3763 18 ' ' '' 39713 3763 19 _ _ NNP 39713 3763 20 are be VBP 39713 3763 21 not not RB 39713 3763 22 distinct distinct JJ 39713 3763 23 in in IN 39713 3763 24 two two CD 39713 3763 25 cases case NNS 39713 3763 26 : : : 39713 3763 27 ( ( -LRB- 39713 3763 28 1 1 LS 39713 3763 29 ) ) -RRB- 39713 3763 30 if if IN 39713 3763 31 [ [ -LRB- 39713 3763 32 Sigma Sigma NNP 39713 3763 33 ] ] -RRB- 39713 3763 34 is be VBZ 39713 3763 35 identical identical JJ 39713 3763 36 with with IN 39713 3763 37 [ [ -LRB- 39713 3763 38 Sigma Sigma NNP 39713 3763 39 ] ] -RRB- 39713 3763 40 ' ' '' 39713 3763 41 ; ; : 39713 3763 42 ( ( -LRB- 39713 3763 43 2 2 LS 39713 3763 44 ) ) -RRB- 39713 3763 45 if if IN 39713 3763 46 [ [ -LRB- 39713 3763 47 Sigma Sigma NNP 39713 3763 48 ] ] -RRB- 39713 3763 49 ' ' '' 39713 3763 50 = = NFP 39713 3763 51 [ [ -LRB- 39713 3763 52 Sigma Sigma NNP 39713 3763 53 ] ] -RRB- 39713 3763 54 + + CC 39713 3763 55 _ _ NNP 39713 3763 56 S S NNP 39713 3763 57 _ _ NNP 39713 3763 58 + + NNP 39713 3763 59 _ _ NNP 39713 3763 60 S S NNP 39713 3763 61 ' ' '' 39713 3763 62 _ _ NNP 39713 3763 63 , , , 39713 3763 64 _ _ NNP 39713 3763 65 S S NNP 39713 3763 66 _ _ NNP 39713 3763 67 and and CC 39713 3763 68 _ _ NNP 39713 3763 69 S S NNP 39713 3763 70 ' ' '' 39713 3763 71 _ _ NNP 39713 3763 72 being be VBG 39713 3763 73 inverses inverse NNS 39713 3763 74 one one CD 39713 3763 75 of of IN 39713 3763 76 the the DT 39713 3763 77 other other JJ 39713 3763 78 . . . 39713 3764 1 If if IN 39713 3764 2 in in IN 39713 3764 3 all all PDT 39713 3764 4 the the DT 39713 3764 5 other other JJ 39713 3764 6 cases case NNS 39713 3764 7 we -PRON- PRP 39713 3764 8 should should MD 39713 3764 9 regard regard VB 39713 3764 10 _ _ NNP 39713 3764 11 M M NNP 39713 3764 12 _ _ NNP 39713 3764 13 and and CC 39713 3764 14 _ _ NNP 39713 3764 15 M M NNP 39713 3764 16 ' ' '' 39713 3764 17 _ _ NNP 39713 3764 18 as as IN 39713 3764 19 distinct distinct JJ 39713 3764 20 , , , 39713 3764 21 the the DT 39713 3764 22 manifold manifold NN 39713 3764 23 of of IN 39713 3764 24 points point NNS 39713 3764 25 would would MD 39713 3764 26 have have VB 39713 3764 27 as as RB 39713 3764 28 many many JJ 39713 3764 29 dimensions dimension NNS 39713 3764 30 as as IN 39713 3764 31 the the DT 39713 3764 32 aggregate aggregate NN 39713 3764 33 of of IN 39713 3764 34 distinct distinct JJ 39713 3764 35 series series NN 39713 3764 36 [ [ -LRB- 39713 3764 37 Sigma Sigma NNP 39713 3764 38 ] ] -RRB- 39713 3764 39 , , , 39713 3764 40 that that RB 39713 3764 41 is is RB 39713 3764 42 , , , 39713 3764 43 much much RB 39713 3764 44 more more JJR 39713 3764 45 than than IN 39713 3764 46 three three CD 39713 3764 47 . . . 39713 3765 1 For for IN 39713 3765 2 those those DT 39713 3765 3 who who WP 39713 3765 4 already already RB 39713 3765 5 know know VBP 39713 3765 6 geometry geometry NN 39713 3765 7 , , , 39713 3765 8 the the DT 39713 3765 9 following follow VBG 39713 3765 10 explanation explanation NN 39713 3765 11 would would MD 39713 3765 12 be be VB 39713 3765 13 easily easily RB 39713 3765 14 comprehensible comprehensible JJ 39713 3765 15 . . . 39713 3766 1 Among among IN 39713 3766 2 the the DT 39713 3766 3 imaginable imaginable JJ 39713 3766 4 series series NN 39713 3766 5 of of IN 39713 3766 6 muscular muscular JJ 39713 3766 7 sensations sensation NNS 39713 3766 8 , , , 39713 3766 9 there there EX 39713 3766 10 are be VBP 39713 3766 11 those those DT 39713 3766 12 which which WDT 39713 3766 13 correspond correspond VBP 39713 3766 14 to to IN 39713 3766 15 series series NN 39713 3766 16 of of IN 39713 3766 17 movements movement NNS 39713 3766 18 where where WRB 39713 3766 19 the the DT 39713 3766 20 finger finger NN 39713 3766 21 does do VBZ 39713 3766 22 not not RB 39713 3766 23 budge budge VB 39713 3766 24 . . . 39713 3767 1 I -PRON- PRP 39713 3767 2 say say VBP 39713 3767 3 that that IN 39713 3767 4 if if IN 39713 3767 5 one one NN 39713 3767 6 does do VBZ 39713 3767 7 not not RB 39713 3767 8 consider consider VB 39713 3767 9 as as RB 39713 3767 10 distinct distinct JJ 39713 3767 11 the the DT 39713 3767 12 series series NN 39713 3767 13 [ [ -LRB- 39713 3767 14 Sigma Sigma NNP 39713 3767 15 ] ] -RRB- 39713 3767 16 and and CC 39713 3767 17 [ [ -LRB- 39713 3767 18 Sigma Sigma NNP 39713 3767 19 ] ] -RRB- 39713 3767 20 + + CC 39713 3767 21 [ [ -LRB- 39713 3767 22 sigma sigma NNP 39713 3767 23 ] ] -RRB- 39713 3767 24 , , , 39713 3767 25 where where WRB 39713 3767 26 the the DT 39713 3767 27 series series NN 39713 3767 28 [ [ -LRB- 39713 3767 29 sigma sigma NNP 39713 3767 30 ] ] -RRB- 39713 3767 31 corresponds correspond NNS 39713 3767 32 to to IN 39713 3767 33 movements movement NNS 39713 3767 34 where where WRB 39713 3767 35 the the DT 39713 3767 36 finger finger NN 39713 3767 37 does do VBZ 39713 3767 38 not not RB 39713 3767 39 budge budge VB 39713 3767 40 , , , 39713 3767 41 the the DT 39713 3767 42 aggregate aggregate NN 39713 3767 43 of of IN 39713 3767 44 series series NN 39713 3767 45 will will MD 39713 3767 46 constitute constitute VB 39713 3767 47 a a DT 39713 3767 48 continuum continuum NN 39713 3767 49 of of IN 39713 3767 50 three three CD 39713 3767 51 dimensions dimension NNS 39713 3767 52 , , , 39713 3767 53 but but CC 39713 3767 54 that that IN 39713 3767 55 if if IN 39713 3767 56 one one CD 39713 3767 57 regards regard VBZ 39713 3767 58 as as IN 39713 3767 59 distinct distinct JJ 39713 3767 60 two two CD 39713 3767 61 series serie NNS 39713 3767 62 [ [ -LRB- 39713 3767 63 Sigma Sigma NNP 39713 3767 64 ] ] -RRB- 39713 3767 65 and and CC 39713 3767 66 [ [ -LRB- 39713 3767 67 Sigma Sigma NNP 39713 3767 68 ] ] -RRB- 39713 3767 69 ' ' `` 39713 3767 70 unless unless IN 39713 3767 71 [ [ -LRB- 39713 3767 72 Sigma Sigma NNP 39713 3767 73 ] ] -RRB- 39713 3767 74 ' ' '' 39713 3767 75 = = NFP 39713 3767 76 [ [ -LRB- 39713 3767 77 Sigma Sigma NNP 39713 3767 78 ] ] -RRB- 39713 3767 79 + + CC 39713 3767 80 _ _ NNP 39713 3767 81 S S NNP 39713 3767 82 _ _ NNP 39713 3767 83 + + NNP 39713 3767 84 _ _ NNP 39713 3767 85 S S NNP 39713 3767 86 ' ' '' 39713 3767 87 _ _ NNP 39713 3767 88 , , , 39713 3767 89 _ _ NNP 39713 3767 90 S S NNP 39713 3767 91 _ _ NNP 39713 3767 92 and and CC 39713 3767 93 _ _ NNP 39713 3767 94 S S NNP 39713 3767 95 ' ' '' 39713 3767 96 _ _ NNP 39713 3767 97 being be VBG 39713 3767 98 inverses inverse NNS 39713 3767 99 , , , 39713 3767 100 the the DT 39713 3767 101 aggregate aggregate NN 39713 3767 102 of of IN 39713 3767 103 series series NN 39713 3767 104 will will MD 39713 3767 105 constitute constitute VB 39713 3767 106 a a DT 39713 3767 107 continuum continuum NN 39713 3767 108 of of IN 39713 3767 109 more more JJR 39713 3767 110 than than IN 39713 3767 111 three three CD 39713 3767 112 dimensions dimension NNS 39713 3767 113 . . . 39713 3768 1 In in IN 39713 3768 2 fact fact NN 39713 3768 3 , , , 39713 3768 4 let let VB 39713 3768 5 there there EX 39713 3768 6 be be VB 39713 3768 7 in in IN 39713 3768 8 space space NN 39713 3768 9 a a DT 39713 3768 10 surface surface NN 39713 3768 11 _ _ NNP 39713 3768 12 A A NNP 39713 3768 13 _ _ NNP 39713 3768 14 , , , 39713 3768 15 on on IN 39713 3768 16 this this DT 39713 3768 17 surface surface NN 39713 3768 18 a a DT 39713 3768 19 line line NN 39713 3768 20 _ _ NNP 39713 3768 21 B B NNP 39713 3768 22 _ _ NNP 39713 3768 23 , , , 39713 3768 24 on on IN 39713 3768 25 this this DT 39713 3768 26 line line NN 39713 3768 27 a a DT 39713 3768 28 point point NN 39713 3768 29 _ _ NNP 39713 3768 30 M M NNP 39713 3768 31 _ _ NNP 39713 3768 32 . . . 39713 3769 1 Let let VB 39713 3769 2 C_{0 C_{0 NNP 39713 3769 3 } } -RRB- 39713 3769 4 be be VB 39713 3769 5 the the DT 39713 3769 6 aggregate aggregate NN 39713 3769 7 of of IN 39713 3769 8 all all DT 39713 3769 9 series series NN 39713 3769 10 [ [ -LRB- 39713 3769 11 Sigma Sigma NNP 39713 3769 12 ] ] -RRB- 39713 3769 13 . . . 39713 3770 1 Let let VB 39713 3770 2 C_{1 C_{1 NNP 39713 3770 3 } } -RRB- 39713 3770 4 be be VB 39713 3770 5 the the DT 39713 3770 6 aggregate aggregate NN 39713 3770 7 of of IN 39713 3770 8 all all PDT 39713 3770 9 the the DT 39713 3770 10 series series NN 39713 3770 11 [ [ -LRB- 39713 3770 12 Sigma Sigma NNP 39713 3770 13 ] ] -RRB- 39713 3770 14 , , , 39713 3770 15 such such JJ 39713 3770 16 that that IN 39713 3770 17 at at IN 39713 3770 18 the the DT 39713 3770 19 end end NN 39713 3770 20 of of IN 39713 3770 21 corresponding correspond VBG 39713 3770 22 movements movement NNS 39713 3770 23 the the DT 39713 3770 24 finger finger NN 39713 3770 25 is be VBZ 39713 3770 26 found find VBN 39713 3770 27 upon upon IN 39713 3770 28 the the DT 39713 3770 29 surface surface NN 39713 3770 30 _ _ NNP 39713 3770 31 A A NNP 39713 3770 32 _ _ NNP 39713 3770 33 , , , 39713 3770 34 and and CC 39713 3770 35 C_{2 C_{2 NNP 39713 3770 36 } } -RRB- 39713 3770 37 or or CC 39713 3770 38 C_{3 C_{3 NNP 39713 3770 39 } } -RRB- 39713 3770 40 the the DT 39713 3770 41 aggregate aggregate NN 39713 3770 42 of of IN 39713 3770 43 series series NN 39713 3770 44 [ [ -LRB- 39713 3770 45 Sigma Sigma NNP 39713 3770 46 ] ] -RRB- 39713 3770 47 such such JJ 39713 3770 48 that that IN 39713 3770 49 at at IN 39713 3770 50 the the DT 39713 3770 51 end end NN 39713 3770 52 the the DT 39713 3770 53 finger finger NN 39713 3770 54 is be VBZ 39713 3770 55 found find VBN 39713 3770 56 on on IN 39713 3770 57 _ _ NNP 39713 3770 58 B B NNP 39713 3770 59 _ _ NNP 39713 3770 60 , , , 39713 3770 61 or or CC 39713 3770 62 at at IN 39713 3770 63 _ _ NNP 39713 3770 64 M M NNP 39713 3770 65 _ _ NNP 39713 3770 66 . . . 39713 3771 1 It -PRON- PRP 39713 3771 2 is be VBZ 39713 3771 3 clear clear JJ 39713 3771 4 , , , 39713 3771 5 first first RB 39713 3771 6 that that IN 39713 3771 7 C_{1 C_{1 NNP 39713 3771 8 } } -RRB- 39713 3771 9 will will MD 39713 3771 10 constitute constitute VB 39713 3771 11 a a DT 39713 3771 12 cut cut NN 39713 3771 13 which which WDT 39713 3771 14 will will MD 39713 3771 15 divide divide VB 39713 3771 16 C_{0 C_{0 NNP 39713 3771 17 } } -RRB- 39713 3771 18 , , , 39713 3771 19 that that IN 39713 3771 20 C_{2 C_{2 NNP 39713 3771 21 } } -RRB- 39713 3771 22 will will MD 39713 3771 23 be be VB 39713 3771 24 a a DT 39713 3771 25 cut cut NN 39713 3771 26 which which WDT 39713 3771 27 will will MD 39713 3771 28 divide divide VB 39713 3771 29 C_{1 C_{1 NNP 39713 3771 30 } } -RRB- 39713 3771 31 , , , 39713 3771 32 and and CC 39713 3771 33 C_{3 C_{3 NNP 39713 3771 34 } } -RRB- 39713 3771 35 a a DT 39713 3771 36 cut cut NN 39713 3771 37 which which WDT 39713 3771 38 will will MD 39713 3771 39 divide divide VB 39713 3771 40 C_2 C_2 NNP 39713 3771 41 . . . 39713 3772 1 Thence thence NN 39713 3772 2 it -PRON- PRP 39713 3772 3 results result VBZ 39713 3772 4 , , , 39713 3772 5 in in IN 39713 3772 6 accordance accordance NN 39713 3772 7 with with IN 39713 3772 8 our -PRON- PRP$ 39713 3772 9 definitions definition NNS 39713 3772 10 , , , 39713 3772 11 that that IN 39713 3772 12 if if IN 39713 3772 13 C_{3 C_{3 NNP 39713 3772 14 } } -RRB- 39713 3772 15 is be VBZ 39713 3772 16 a a DT 39713 3772 17 continuum continuum NN 39713 3772 18 of of IN 39713 3772 19 _ _ NNP 39713 3772 20 n n CC 39713 3772 21 _ _ NNP 39713 3772 22 dimensions dimension NNS 39713 3772 23 , , , 39713 3772 24 C_{0 C_{0 NNP 39713 3772 25 } } -RRB- 39713 3772 26 will will MD 39713 3772 27 be be VB 39713 3772 28 a a DT 39713 3772 29 physical physical JJ 39713 3772 30 continuum continuum NN 39713 3772 31 of of IN 39713 3772 32 _ _ NNP 39713 3772 33 n n NNP 39713 3772 34 _ _ NNP 39713 3772 35 + + SYM 39713 3772 36 3 3 CD 39713 3772 37 dimensions dimension NNS 39713 3772 38 . . . 39713 3773 1 Therefore therefore RB 39713 3773 2 , , , 39713 3773 3 let let VBD 39713 3773 4 [ [ -LRB- 39713 3773 5 Sigma Sigma NNP 39713 3773 6 ] ] -RRB- 39713 3773 7 and and CC 39713 3773 8 [ [ -LRB- 39713 3773 9 Sigma Sigma NNP 39713 3773 10 ] ] -RRB- 39713 3773 11 ' ' '' 39713 3773 12 = = NFP 39713 3773 13 [ [ -LRB- 39713 3773 14 Sigma Sigma NNP 39713 3773 15 ] ] -RRB- 39713 3773 16 + + CC 39713 3773 17 [ [ -LRB- 39713 3773 18 sigma sigma NNP 39713 3773 19 ] ] -RRB- 39713 3773 20 be be VB 39713 3773 21 two two CD 39713 3773 22 series series NN 39713 3773 23 forming form VBG 39713 3773 24 part part NN 39713 3773 25 of of IN 39713 3773 26 C_{3 C_{3 NNP 39713 3773 27 } } -RRB- 39713 3773 28 ; ; : 39713 3773 29 for for IN 39713 3773 30 both both DT 39713 3773 31 , , , 39713 3773 32 at at IN 39713 3773 33 the the DT 39713 3773 34 end end NN 39713 3773 35 of of IN 39713 3773 36 the the DT 39713 3773 37 movements movement NNS 39713 3773 38 , , , 39713 3773 39 the the DT 39713 3773 40 finger finger NN 39713 3773 41 is be VBZ 39713 3773 42 found find VBN 39713 3773 43 at at IN 39713 3773 44 _ _ NNP 39713 3773 45 M M NNP 39713 3773 46 _ _ NNP 39713 3773 47 ; ; : 39713 3773 48 thence thence NN 39713 3773 49 results result VBZ 39713 3773 50 that that IN 39713 3773 51 at at IN 39713 3773 52 the the DT 39713 3773 53 beginning beginning NN 39713 3773 54 and and CC 39713 3773 55 at at IN 39713 3773 56 the the DT 39713 3773 57 end end NN 39713 3773 58 of of IN 39713 3773 59 the the DT 39713 3773 60 series series NN 39713 3773 61 [ [ -LRB- 39713 3773 62 sigma sigma NNP 39713 3773 63 ] ] -RRB- 39713 3773 64 the the DT 39713 3773 65 finger finger NN 39713 3773 66 is be VBZ 39713 3773 67 at at IN 39713 3773 68 the the DT 39713 3773 69 same same JJ 39713 3773 70 point point NN 39713 3773 71 _ _ NNP 39713 3773 72 M M NNP 39713 3773 73 _ _ NNP 39713 3773 74 . . . 39713 3774 1 This this DT 39713 3774 2 series series NN 39713 3774 3 [ [ -LRB- 39713 3774 4 sigma sigma NNP 39713 3774 5 ] ] -RRB- 39713 3774 6 is be VBZ 39713 3774 7 therefore therefore RB 39713 3774 8 one one CD 39713 3774 9 of of IN 39713 3774 10 those those DT 39713 3774 11 which which WDT 39713 3774 12 correspond correspond VBP 39713 3774 13 to to IN 39713 3774 14 movements movement NNS 39713 3774 15 where where WRB 39713 3774 16 the the DT 39713 3774 17 finger finger NN 39713 3774 18 does do VBZ 39713 3774 19 not not RB 39713 3774 20 budge budge VB 39713 3774 21 . . . 39713 3775 1 If if IN 39713 3775 2 [ [ -LRB- 39713 3775 3 Sigma Sigma NNP 39713 3775 4 ] ] -RRB- 39713 3775 5 and and CC 39713 3775 6 [ [ -LRB- 39713 3775 7 Sigma Sigma NNP 39713 3775 8 ] ] -RRB- 39713 3775 9 + + CC 39713 3775 10 [ [ -LRB- 39713 3775 11 sigma sigma NNP 39713 3775 12 ] ] -RRB- 39713 3775 13 are be VBP 39713 3775 14 not not RB 39713 3775 15 regarded regard VBN 39713 3775 16 as as IN 39713 3775 17 distinct distinct JJ 39713 3775 18 , , , 39713 3775 19 all all PDT 39713 3775 20 the the DT 39713 3775 21 series series NN 39713 3775 22 of of IN 39713 3775 23 C_{3 C_{3 NNP 39713 3775 24 } } -RRB- 39713 3775 25 blend blend NN 39713 3775 26 into into IN 39713 3775 27 one one CD 39713 3775 28 ; ; : 39713 3775 29 therefore therefore RB 39713 3775 30 C_{3 C_{3 NNP 39713 3775 31 } } -RRB- 39713 3775 32 will will MD 39713 3775 33 have have VB 39713 3775 34 0 0 CD 39713 3775 35 dimension dimension NN 39713 3775 36 , , , 39713 3775 37 and and CC 39713 3775 38 C_{0 C_{0 NNP 39713 3775 39 } } -RRB- 39713 3775 40 will will MD 39713 3775 41 have have VB 39713 3775 42 3 3 CD 39713 3775 43 , , , 39713 3775 44 as as IN 39713 3775 45 I -PRON- PRP 39713 3775 46 wished wish VBD 39713 3775 47 to to TO 39713 3775 48 prove prove VB 39713 3775 49 . . . 39713 3776 1 If if IN 39713 3776 2 , , , 39713 3776 3 on on IN 39713 3776 4 the the DT 39713 3776 5 contrary contrary NN 39713 3776 6 , , , 39713 3776 7 I -PRON- PRP 39713 3776 8 do do VBP 39713 3776 9 not not RB 39713 3776 10 regard regard VB 39713 3776 11 [ [ -LRB- 39713 3776 12 Sigma Sigma NNP 39713 3776 13 ] ] -RRB- 39713 3776 14 and and CC 39713 3776 15 [ [ -LRB- 39713 3776 16 Sigma Sigma NNP 39713 3776 17 ] ] -RRB- 39713 3776 18 + + CC 39713 3776 19 [ [ -LRB- 39713 3776 20 sigma sigma NNP 39713 3776 21 ] ] -RRB- 39713 3776 22 as as IN 39713 3776 23 blending blending NN 39713 3776 24 ( ( -LRB- 39713 3776 25 unless unless IN 39713 3776 26 [ [ -LRB- 39713 3776 27 sigma sigma NNP 39713 3776 28 ] ] -RRB- 39713 3776 29 = = NN 39713 3776 30 _ _ NNP 39713 3776 31 S S NNP 39713 3776 32 _ _ NNP 39713 3776 33 + + NNP 39713 3776 34 _ _ NNP 39713 3776 35 S S NNP 39713 3776 36 ' ' '' 39713 3776 37 _ _ NNP 39713 3776 38 , , , 39713 3776 39 _ _ NNP 39713 3776 40 S S NNP 39713 3776 41 _ _ NNP 39713 3776 42 and and CC 39713 3776 43 _ _ NNP 39713 3776 44 S S NNP 39713 3776 45 ' ' '' 39713 3776 46 _ _ NNP 39713 3776 47 being be VBG 39713 3776 48 inverses inverse NNS 39713 3776 49 ) ) -RRB- 39713 3776 50 , , , 39713 3776 51 it -PRON- PRP 39713 3776 52 is be VBZ 39713 3776 53 clear clear JJ 39713 3776 54 that that IN 39713 3776 55 C_{3 C_{3 NNP 39713 3776 56 } } -RRB- 39713 3776 57 will will MD 39713 3776 58 contain contain VB 39713 3776 59 a a DT 39713 3776 60 great great JJ 39713 3776 61 number number NN 39713 3776 62 of of IN 39713 3776 63 series series NN 39713 3776 64 of of IN 39713 3776 65 distinct distinct JJ 39713 3776 66 sensations sensation NNS 39713 3776 67 ; ; : 39713 3776 68 because because IN 39713 3776 69 , , , 39713 3776 70 without without IN 39713 3776 71 the the DT 39713 3776 72 finger finger NN 39713 3776 73 budging budge VBG 39713 3776 74 , , , 39713 3776 75 the the DT 39713 3776 76 body body NN 39713 3776 77 may may MD 39713 3776 78 take take VB 39713 3776 79 a a DT 39713 3776 80 multitude multitude NN 39713 3776 81 of of IN 39713 3776 82 different different JJ 39713 3776 83 attitudes attitude NNS 39713 3776 84 . . . 39713 3777 1 Then then RB 39713 3777 2 C_{3 C_{3 NNP 39713 3777 3 } } -RRB- 39713 3777 4 will will MD 39713 3777 5 form form VB 39713 3777 6 a a DT 39713 3777 7 continuum continuum NN 39713 3777 8 and and CC 39713 3777 9 C_{0 C_{0 NNP 39713 3777 10 } } -RRB- 39713 3777 11 will will MD 39713 3777 12 have have VB 39713 3777 13 more more JJR 39713 3777 14 than than IN 39713 3777 15 three three CD 39713 3777 16 dimensions dimension NNS 39713 3777 17 , , , 39713 3777 18 and and CC 39713 3777 19 this this DT 39713 3777 20 also also RB 39713 3777 21 I -PRON- PRP 39713 3777 22 wished wish VBD 39713 3777 23 to to TO 39713 3777 24 prove prove VB 39713 3777 25 . . . 39713 3778 1 We -PRON- PRP 39713 3778 2 who who WP 39713 3778 3 do do VBP 39713 3778 4 not not RB 39713 3778 5 yet yet RB 39713 3778 6 know know VB 39713 3778 7 geometry geometry NN 39713 3778 8 can can MD 39713 3778 9 not not RB 39713 3778 10 reason reason VB 39713 3778 11 in in IN 39713 3778 12 this this DT 39713 3778 13 way way NN 39713 3778 14 ; ; : 39713 3778 15 we -PRON- PRP 39713 3778 16 can can MD 39713 3778 17 only only RB 39713 3778 18 verify verify VB 39713 3778 19 . . . 39713 3779 1 But but CC 39713 3779 2 then then RB 39713 3779 3 a a DT 39713 3779 4 question question NN 39713 3779 5 arises arise VBZ 39713 3779 6 ; ; : 39713 3779 7 how how WRB 39713 3779 8 , , , 39713 3779 9 before before IN 39713 3779 10 knowing know VBG 39713 3779 11 geometry geometry NN 39713 3779 12 , , , 39713 3779 13 have have VBP 39713 3779 14 we -PRON- PRP 39713 3779 15 been be VBN 39713 3779 16 led lead VBN 39713 3779 17 to to TO 39713 3779 18 distinguish distinguish VB 39713 3779 19 from from IN 39713 3779 20 the the DT 39713 3779 21 others other NNS 39713 3779 22 these these DT 39713 3779 23 series series NN 39713 3779 24 [ [ -LRB- 39713 3779 25 sigma sigma NNP 39713 3779 26 ] ] -RRB- 39713 3779 27 where where WRB 39713 3779 28 the the DT 39713 3779 29 finger finger NN 39713 3779 30 does do VBZ 39713 3779 31 not not RB 39713 3779 32 budge budge VB 39713 3779 33 ? ? . 39713 3780 1 It -PRON- PRP 39713 3780 2 is be VBZ 39713 3780 3 , , , 39713 3780 4 in in IN 39713 3780 5 fact fact NN 39713 3780 6 , , , 39713 3780 7 only only RB 39713 3780 8 after after IN 39713 3780 9 having have VBG 39713 3780 10 made make VBN 39713 3780 11 this this DT 39713 3780 12 distinction distinction NN 39713 3780 13 that that IN 39713 3780 14 we -PRON- PRP 39713 3780 15 could could MD 39713 3780 16 be be VB 39713 3780 17 led lead VBN 39713 3780 18 to to TO 39713 3780 19 regard regard VB 39713 3780 20 [ [ -LRB- 39713 3780 21 Sigma Sigma NNP 39713 3780 22 ] ] -RRB- 39713 3780 23 and and CC 39713 3780 24 [ [ -LRB- 39713 3780 25 Sigma Sigma NNP 39713 3780 26 ] ] -RRB- 39713 3780 27 + + CC 39713 3780 28 [ [ -LRB- 39713 3780 29 sigma sigma NNP 39713 3780 30 ] ] -RRB- 39713 3780 31 as as IN 39713 3780 32 identical identical JJ 39713 3780 33 , , , 39713 3780 34 and and CC 39713 3780 35 it -PRON- PRP 39713 3780 36 is be VBZ 39713 3780 37 on on IN 39713 3780 38 this this DT 39713 3780 39 condition condition NN 39713 3780 40 alone alone RB 39713 3780 41 , , , 39713 3780 42 as as IN 39713 3780 43 we -PRON- PRP 39713 3780 44 have have VBP 39713 3780 45 just just RB 39713 3780 46 seen see VBN 39713 3780 47 , , , 39713 3780 48 that that IN 39713 3780 49 we -PRON- PRP 39713 3780 50 can can MD 39713 3780 51 arrive arrive VB 39713 3780 52 at at IN 39713 3780 53 space space NN 39713 3780 54 of of IN 39713 3780 55 three three CD 39713 3780 56 dimensions dimension NNS 39713 3780 57 . . . 39713 3781 1 We -PRON- PRP 39713 3781 2 are be VBP 39713 3781 3 led lead VBN 39713 3781 4 to to TO 39713 3781 5 distinguish distinguish VB 39713 3781 6 the the DT 39713 3781 7 series series NN 39713 3781 8 [ [ -LRB- 39713 3781 9 sigma sigma NNP 39713 3781 10 ] ] -RRB- 39713 3781 11 , , , 39713 3781 12 because because IN 39713 3781 13 it -PRON- PRP 39713 3781 14 often often RB 39713 3781 15 happens happen VBZ 39713 3781 16 that that IN 39713 3781 17 when when WRB 39713 3781 18 we -PRON- PRP 39713 3781 19 have have VBP 39713 3781 20 executed execute VBN 39713 3781 21 the the DT 39713 3781 22 movements movement NNS 39713 3781 23 which which WDT 39713 3781 24 correspond correspond VBP 39713 3781 25 to to IN 39713 3781 26 these these DT 39713 3781 27 series series NN 39713 3781 28 [ [ -LRB- 39713 3781 29 sigma sigma NNP 39713 3781 30 ] ] -RRB- 39713 3781 31 of of IN 39713 3781 32 muscular muscular JJ 39713 3781 33 sensations sensation NNS 39713 3781 34 , , , 39713 3781 35 the the DT 39713 3781 36 tactile tactile NN 39713 3781 37 sensations sensation NNS 39713 3781 38 which which WDT 39713 3781 39 are be VBP 39713 3781 40 transmitted transmit VBN 39713 3781 41 to to IN 39713 3781 42 us -PRON- PRP 39713 3781 43 by by IN 39713 3781 44 the the DT 39713 3781 45 nerve nerve NN 39713 3781 46 of of IN 39713 3781 47 the the DT 39713 3781 48 finger finger NN 39713 3781 49 that that IN 39713 3781 50 we -PRON- PRP 39713 3781 51 have have VBP 39713 3781 52 called call VBN 39713 3781 53 the the DT 39713 3781 54 first first JJ 39713 3781 55 finger finger NN 39713 3781 56 , , , 39713 3781 57 persist persist NNP 39713 3781 58 and and CC 39713 3781 59 are be VBP 39713 3781 60 not not RB 39713 3781 61 altered alter VBN 39713 3781 62 by by IN 39713 3781 63 these these DT 39713 3781 64 movements movement NNS 39713 3781 65 . . . 39713 3782 1 Experience experience NN 39713 3782 2 alone alone RB 39713 3782 3 tells tell VBZ 39713 3782 4 us -PRON- PRP 39713 3782 5 that that DT 39713 3782 6 and and CC 39713 3782 7 it -PRON- PRP 39713 3782 8 alone alone RB 39713 3782 9 could could MD 39713 3782 10 tell tell VB 39713 3782 11 us -PRON- PRP 39713 3782 12 . . . 39713 3783 1 If if IN 39713 3783 2 we -PRON- PRP 39713 3783 3 have have VBP 39713 3783 4 distinguished distinguish VBN 39713 3783 5 the the DT 39713 3783 6 series series NN 39713 3783 7 of of IN 39713 3783 8 muscular muscular JJ 39713 3783 9 sensations sensation NNS 39713 3783 10 _ _ NNP 39713 3783 11 S S NNP 39713 3783 12 _ _ NNP 39713 3783 13 + + NNP 39713 3783 14 _ _ NNP 39713 3783 15 S S NNP 39713 3783 16 ' ' '' 39713 3783 17 _ _ NNP 39713 3783 18 formed form VBN 39713 3783 19 by by IN 39713 3783 20 the the DT 39713 3783 21 union union NN 39713 3783 22 of of IN 39713 3783 23 two two CD 39713 3783 24 inverse inverse NN 39713 3783 25 series series NN 39713 3783 26 , , , 39713 3783 27 it -PRON- PRP 39713 3783 28 is be VBZ 39713 3783 29 because because IN 39713 3783 30 they -PRON- PRP 39713 3783 31 preserve preserve VBP 39713 3783 32 the the DT 39713 3783 33 totality totality NN 39713 3783 34 of of IN 39713 3783 35 our -PRON- PRP$ 39713 3783 36 impressions impression NNS 39713 3783 37 ; ; : 39713 3783 38 if if IN 39713 3783 39 now now RB 39713 3783 40 we -PRON- PRP 39713 3783 41 distinguish distinguish VBP 39713 3783 42 the the DT 39713 3783 43 series series NN 39713 3783 44 [ [ -LRB- 39713 3783 45 sigma sigma NNP 39713 3783 46 ] ] -RRB- 39713 3783 47 , , , 39713 3783 48 it -PRON- PRP 39713 3783 49 is be VBZ 39713 3783 50 because because IN 39713 3783 51 they -PRON- PRP 39713 3783 52 preserve preserve VBP 39713 3783 53 _ _ NNP 39713 3783 54 certain certain JJ 39713 3783 55 _ _ NNP 39713 3783 56 of of IN 39713 3783 57 our -PRON- PRP$ 39713 3783 58 impressions impression NNS 39713 3783 59 . . . 39713 3784 1 ( ( -LRB- 39713 3784 2 When when WRB 39713 3784 3 I -PRON- PRP 39713 3784 4 say say VBP 39713 3784 5 that that IN 39713 3784 6 a a DT 39713 3784 7 series series NN 39713 3784 8 of of IN 39713 3784 9 muscular muscular JJ 39713 3784 10 sensations sensation NNS 39713 3784 11 _ _ NNP 39713 3784 12 S S NNP 39713 3784 13 _ _ NNP 39713 3784 14 ' ' POS 39713 3784 15 preserves preserve NNS 39713 3784 16 ' ' POS 39713 3784 17 one one CD 39713 3784 18 of of IN 39713 3784 19 our -PRON- PRP$ 39713 3784 20 impressions impression NNS 39713 3784 21 _ _ NNP 39713 3784 22 A A NNP 39713 3784 23 _ _ NNP 39713 3784 24 , , , 39713 3784 25 I -PRON- PRP 39713 3784 26 mean mean VBP 39713 3784 27 that that IN 39713 3784 28 we -PRON- PRP 39713 3784 29 ascertain ascertain VBP 39713 3784 30 that that IN 39713 3784 31 if if IN 39713 3784 32 we -PRON- PRP 39713 3784 33 feel feel VBP 39713 3784 34 the the DT 39713 3784 35 impression impression NN 39713 3784 36 _ _ NNP 39713 3784 37 A A NNP 39713 3784 38 _ _ NNP 39713 3784 39 , , , 39713 3784 40 then then RB 39713 3784 41 the the DT 39713 3784 42 muscular muscular JJ 39713 3784 43 sensations sensation NNS 39713 3784 44 _ _ NNP 39713 3784 45 S S NNP 39713 3784 46 _ _ NNP 39713 3784 47 , , , 39713 3784 48 we -PRON- PRP 39713 3784 49 _ _ VBP 39713 3784 50 still still RB 39713 3784 51 _ _ NNP 39713 3784 52 feel feel VBP 39713 3784 53 the the DT 39713 3784 54 impression impression NN 39713 3784 55 _ _ NNP 39713 3784 56 A A NNP 39713 3784 57 _ _ NNP 39713 3784 58 _ _ NNP 39713 3784 59 after after IN 39713 3784 60 _ _ NNP 39713 3784 61 these these DT 39713 3784 62 sensations sensation NNS 39713 3784 63 _ _ NNP 39713 3784 64 S S NNP 39713 3784 65 _ _ NNP 39713 3784 66 . . . 39713 3784 67 ) ) -RRB- 39713 3785 1 I -PRON- PRP 39713 3785 2 have have VBP 39713 3785 3 said say VBN 39713 3785 4 above above IN 39713 3785 5 it -PRON- PRP 39713 3785 6 often often RB 39713 3785 7 happens happen VBZ 39713 3785 8 that that IN 39713 3785 9 the the DT 39713 3785 10 series series NN 39713 3785 11 [ [ -LRB- 39713 3785 12 sigma sigma NNP 39713 3785 13 ] ] -RRB- 39713 3785 14 do do VBP 39713 3785 15 not not RB 39713 3785 16 alter alter VB 39713 3785 17 the the DT 39713 3785 18 tactile tactile NN 39713 3785 19 impressions impression NNS 39713 3785 20 felt feel VBN 39713 3785 21 by by IN 39713 3785 22 our -PRON- PRP$ 39713 3785 23 first first JJ 39713 3785 24 finger finger NN 39713 3785 25 ; ; : 39713 3785 26 I -PRON- PRP 39713 3785 27 said say VBD 39713 3785 28 _ _ NNP 39713 3785 29 often often RB 39713 3785 30 _ _ NNP 39713 3785 31 , , , 39713 3785 32 I -PRON- PRP 39713 3785 33 did do VBD 39713 3785 34 not not RB 39713 3785 35 say say VB 39713 3785 36 _ _ NNP 39713 3785 37 always always RB 39713 3785 38 _ _ NNP 39713 3785 39 . . . 39713 3786 1 This this DT 39713 3786 2 it -PRON- PRP 39713 3786 3 is be VBZ 39713 3786 4 that that IN 39713 3786 5 we -PRON- PRP 39713 3786 6 express express VBP 39713 3786 7 in in IN 39713 3786 8 our -PRON- PRP$ 39713 3786 9 ordinary ordinary JJ 39713 3786 10 language language NN 39713 3786 11 by by IN 39713 3786 12 saying say VBG 39713 3786 13 that that IN 39713 3786 14 the the DT 39713 3786 15 tactile tactile NN 39713 3786 16 impressions impression NNS 39713 3786 17 would would MD 39713 3786 18 not not RB 39713 3786 19 be be VB 39713 3786 20 altered alter VBN 39713 3786 21 if if IN 39713 3786 22 the the DT 39713 3786 23 finger finger NN 39713 3786 24 has have VBZ 39713 3786 25 not not RB 39713 3786 26 moved move VBN 39713 3786 27 , , , 39713 3786 28 _ _ NNP 39713 3786 29 on on IN 39713 3786 30 the the DT 39713 3786 31 condition condition NN 39713 3786 32 _ _ IN 39713 3786 33 that that IN 39713 3786 34 _ _ NNP 39713 3786 35 neither neither DT 39713 3786 36 has have VBZ 39713 3786 37 _ _ NNP 39713 3786 38 the the DT 39713 3786 39 object object NN 39713 3786 40 _ _ NNP 39713 3786 41 A A NNP 39713 3786 42 _ _ NNP 39713 3786 43 , , , 39713 3786 44 which which WDT 39713 3786 45 was be VBD 39713 3786 46 in in IN 39713 3786 47 contact contact NN 39713 3786 48 with with IN 39713 3786 49 this this DT 39713 3786 50 finger finger NN 39713 3786 51 , , , 39713 3786 52 moved move VBD 39713 3786 53 . . . 39713 3787 1 Before before IN 39713 3787 2 knowing know VBG 39713 3787 3 geometry geometry NN 39713 3787 4 , , , 39713 3787 5 we -PRON- PRP 39713 3787 6 could could MD 39713 3787 7 not not RB 39713 3787 8 give give VB 39713 3787 9 this this DT 39713 3787 10 explanation explanation NN 39713 3787 11 ; ; : 39713 3787 12 all all DT 39713 3787 13 we -PRON- PRP 39713 3787 14 could could MD 39713 3787 15 do do VB 39713 3787 16 is be VBZ 39713 3787 17 to to TO 39713 3787 18 ascertain ascertain VB 39713 3787 19 that that IN 39713 3787 20 the the DT 39713 3787 21 impression impression NN 39713 3787 22 often often RB 39713 3787 23 persists persist VBZ 39713 3787 24 , , , 39713 3787 25 but but CC 39713 3787 26 not not RB 39713 3787 27 always always RB 39713 3787 28 . . . 39713 3788 1 But but CC 39713 3788 2 that that IN 39713 3788 3 the the DT 39713 3788 4 impression impression NN 39713 3788 5 often often RB 39713 3788 6 continues continue VBZ 39713 3788 7 is be VBZ 39713 3788 8 enough enough JJ 39713 3788 9 to to TO 39713 3788 10 make make VB 39713 3788 11 the the DT 39713 3788 12 series series NN 39713 3788 13 [ [ -LRB- 39713 3788 14 sigma sigma NNP 39713 3788 15 ] ] -RRB- 39713 3788 16 appear appear VBP 39713 3788 17 remarkable remarkable JJ 39713 3788 18 to to IN 39713 3788 19 us -PRON- PRP 39713 3788 20 , , , 39713 3788 21 to to TO 39713 3788 22 lead lead VB 39713 3788 23 us -PRON- PRP 39713 3788 24 to to TO 39713 3788 25 put put VB 39713 3788 26 in in IN 39713 3788 27 the the DT 39713 3788 28 same same JJ 39713 3788 29 class class NN 39713 3788 30 the the DT 39713 3788 31 series series NN 39713 3788 32 [ [ -LRB- 39713 3788 33 Sigma Sigma NNP 39713 3788 34 ] ] -RRB- 39713 3788 35 and and CC 39713 3788 36 [ [ -LRB- 39713 3788 37 Sigma Sigma NNP 39713 3788 38 ] ] -RRB- 39713 3788 39 + + CC 39713 3788 40 [ [ -LRB- 39713 3788 41 sigma sigma NNP 39713 3788 42 ] ] -RRB- 39713 3788 43 , , , 39713 3788 44 and and CC 39713 3788 45 hence hence RB 39713 3788 46 not not RB 39713 3788 47 regard regard VB 39713 3788 48 them -PRON- PRP 39713 3788 49 as as IN 39713 3788 50 distinct distinct JJ 39713 3788 51 . . . 39713 3789 1 Under under IN 39713 3789 2 these these DT 39713 3789 3 conditions condition NNS 39713 3789 4 we -PRON- PRP 39713 3789 5 have have VBP 39713 3789 6 seen see VBN 39713 3789 7 that that IN 39713 3789 8 they -PRON- PRP 39713 3789 9 will will MD 39713 3789 10 engender engender VB 39713 3789 11 a a DT 39713 3789 12 physical physical JJ 39713 3789 13 continuum continuum NN 39713 3789 14 of of IN 39713 3789 15 three three CD 39713 3789 16 dimensions dimension NNS 39713 3789 17 . . . 39713 3790 1 Behold behold VB 39713 3790 2 then then RB 39713 3790 3 a a DT 39713 3790 4 space space NN 39713 3790 5 of of IN 39713 3790 6 three three CD 39713 3790 7 dimensions dimension NNS 39713 3790 8 engendered engender VBN 39713 3790 9 by by IN 39713 3790 10 my -PRON- PRP$ 39713 3790 11 first first JJ 39713 3790 12 finger finger NN 39713 3790 13 . . . 39713 3791 1 Each each DT 39713 3791 2 of of IN 39713 3791 3 my -PRON- PRP$ 39713 3791 4 fingers finger NNS 39713 3791 5 will will MD 39713 3791 6 create create VB 39713 3791 7 one one CD 39713 3791 8 like like IN 39713 3791 9 it -PRON- PRP 39713 3791 10 . . . 39713 3792 1 It -PRON- PRP 39713 3792 2 remains remain VBZ 39713 3792 3 to to TO 39713 3792 4 consider consider VB 39713 3792 5 how how WRB 39713 3792 6 we -PRON- PRP 39713 3792 7 are be VBP 39713 3792 8 led lead VBN 39713 3792 9 to to TO 39713 3792 10 regard regard VB 39713 3792 11 them -PRON- PRP 39713 3792 12 as as IN 39713 3792 13 identical identical JJ 39713 3792 14 with with IN 39713 3792 15 visual visual JJ 39713 3792 16 space space NN 39713 3792 17 , , , 39713 3792 18 as as IN 39713 3792 19 identical identical JJ 39713 3792 20 with with IN 39713 3792 21 geometric geometric JJ 39713 3792 22 space space NN 39713 3792 23 . . . 39713 3793 1 But but CC 39713 3793 2 one one CD 39713 3793 3 reflection reflection NN 39713 3793 4 before before IN 39713 3793 5 going go VBG 39713 3793 6 further further RB 39713 3793 7 ; ; : 39713 3793 8 according accord VBG 39713 3793 9 to to IN 39713 3793 10 the the DT 39713 3793 11 foregoing foregoing NN 39713 3793 12 , , , 39713 3793 13 we -PRON- PRP 39713 3793 14 know know VBP 39713 3793 15 the the DT 39713 3793 16 points point NNS 39713 3793 17 of of IN 39713 3793 18 space space NN 39713 3793 19 , , , 39713 3793 20 or or CC 39713 3793 21 more more RBR 39713 3793 22 generally generally RB 39713 3793 23 the the DT 39713 3793 24 final final JJ 39713 3793 25 situation situation NN 39713 3793 26 of of IN 39713 3793 27 our -PRON- PRP$ 39713 3793 28 body body NN 39713 3793 29 , , , 39713 3793 30 only only RB 39713 3793 31 by by IN 39713 3793 32 the the DT 39713 3793 33 series series NN 39713 3793 34 of of IN 39713 3793 35 muscular muscular JJ 39713 3793 36 sensations sensation NNS 39713 3793 37 revealing reveal VBG 39713 3793 38 to to IN 39713 3793 39 us -PRON- PRP 39713 3793 40 the the DT 39713 3793 41 movements movement NNS 39713 3793 42 which which WDT 39713 3793 43 have have VBP 39713 3793 44 carried carry VBN 39713 3793 45 us -PRON- PRP 39713 3793 46 from from IN 39713 3793 47 a a DT 39713 3793 48 certain certain JJ 39713 3793 49 initial initial JJ 39713 3793 50 situation situation NN 39713 3793 51 to to IN 39713 3793 52 this this DT 39713 3793 53 final final JJ 39713 3793 54 situation situation NN 39713 3793 55 . . . 39713 3794 1 But but CC 39713 3794 2 it -PRON- PRP 39713 3794 3 is be VBZ 39713 3794 4 clear clear JJ 39713 3794 5 that that IN 39713 3794 6 this this DT 39713 3794 7 final final JJ 39713 3794 8 situation situation NN 39713 3794 9 will will MD 39713 3794 10 depend depend VB 39713 3794 11 , , , 39713 3794 12 on on IN 39713 3794 13 the the DT 39713 3794 14 one one CD 39713 3794 15 hand hand NN 39713 3794 16 , , , 39713 3794 17 upon upon IN 39713 3794 18 these these DT 39713 3794 19 movements movement NNS 39713 3794 20 and and CC 39713 3794 21 , , , 39713 3794 22 _ _ NNP 39713 3794 23 on on IN 39713 3794 24 the the DT 39713 3794 25 other other JJ 39713 3794 26 hand hand NN 39713 3794 27 , , , 39713 3794 28 upon upon IN 39713 3794 29 the the DT 39713 3794 30 initial initial JJ 39713 3794 31 situation situation NN 39713 3794 32 _ _ NNP 39713 3794 33 from from IN 39713 3794 34 which which WDT 39713 3794 35 we -PRON- PRP 39713 3794 36 set set VBD 39713 3794 37 out out RP 39713 3794 38 . . . 39713 3795 1 Now now RB 39713 3795 2 these these DT 39713 3795 3 movements movement NNS 39713 3795 4 are be VBP 39713 3795 5 revealed reveal VBN 39713 3795 6 to to IN 39713 3795 7 us -PRON- PRP 39713 3795 8 by by IN 39713 3795 9 our -PRON- PRP$ 39713 3795 10 muscular muscular JJ 39713 3795 11 sensations sensation NNS 39713 3795 12 ; ; : 39713 3795 13 but but CC 39713 3795 14 nothing nothing NN 39713 3795 15 tells tell VBZ 39713 3795 16 us -PRON- PRP 39713 3795 17 the the DT 39713 3795 18 initial initial JJ 39713 3795 19 situation situation NN 39713 3795 20 ; ; : 39713 3795 21 nothing nothing NN 39713 3795 22 can can MD 39713 3795 23 distinguish distinguish VB 39713 3795 24 it -PRON- PRP 39713 3795 25 for for IN 39713 3795 26 us -PRON- PRP 39713 3795 27 from from IN 39713 3795 28 all all PDT 39713 3795 29 the the DT 39713 3795 30 other other JJ 39713 3795 31 possible possible JJ 39713 3795 32 situations situation NNS 39713 3795 33 . . . 39713 3796 1 This this DT 39713 3796 2 puts put VBZ 39713 3796 3 well well RB 39713 3796 4 in in IN 39713 3796 5 evidence evidence NN 39713 3796 6 the the DT 39713 3796 7 essential essential JJ 39713 3796 8 relativity relativity NN 39713 3796 9 of of IN 39713 3796 10 space space NN 39713 3796 11 . . . 39713 3797 1 4 4 LS 39713 3797 2 . . . 39713 3798 1 _ _ NNP 39713 3798 2 Identity Identity NNP 39713 3798 3 of of IN 39713 3798 4 the the DT 39713 3798 5 Different Different NNP 39713 3798 6 Spaces Spaces NNPS 39713 3798 7 _ _ NNP 39713 3798 8 We -PRON- PRP 39713 3798 9 are be VBP 39713 3798 10 therefore therefore RB 39713 3798 11 led lead VBN 39713 3798 12 to to TO 39713 3798 13 compare compare VB 39713 3798 14 the the DT 39713 3798 15 two two CD 39713 3798 16 continua continua NN 39713 3798 17 _ _ NNP 39713 3798 18 C C NNP 39713 3798 19 _ _ NNP 39713 3798 20 and and CC 39713 3798 21 _ _ NNP 39713 3798 22 C C NNP 39713 3798 23 ' ' POS 39713 3798 24 _ _ NNP 39713 3798 25 engendered engender VBD 39713 3798 26 , , , 39713 3798 27 for for IN 39713 3798 28 instance instance NN 39713 3798 29 , , , 39713 3798 30 one one CD 39713 3798 31 by by IN 39713 3798 32 my -PRON- PRP$ 39713 3798 33 first first JJ 39713 3798 34 finger finger NN 39713 3798 35 _ _ NNP 39713 3798 36 D D NNP 39713 3798 37 _ _ NNP 39713 3798 38 , , , 39713 3798 39 the the DT 39713 3798 40 other other JJ 39713 3798 41 by by IN 39713 3798 42 my -PRON- PRP$ 39713 3798 43 second second JJ 39713 3798 44 finger finger NN 39713 3798 45 _ _ NNP 39713 3798 46 D D NNP 39713 3798 47 ' ' '' 39713 3798 48 _ _ NNP 39713 3798 49 . . . 39713 3799 1 These these DT 39713 3799 2 two two CD 39713 3799 3 physical physical JJ 39713 3799 4 continua continua NN 39713 3799 5 both both DT 39713 3799 6 have have VBP 39713 3799 7 three three CD 39713 3799 8 dimensions dimension NNS 39713 3799 9 . . . 39713 3800 1 To to IN 39713 3800 2 each each DT 39713 3800 3 element element NN 39713 3800 4 of of IN 39713 3800 5 the the DT 39713 3800 6 continuum continuum NN 39713 3800 7 _ _ NNP 39713 3800 8 C C NNP 39713 3800 9 _ _ NNP 39713 3800 10 , , , 39713 3800 11 or or CC 39713 3800 12 , , , 39713 3800 13 if if IN 39713 3800 14 you -PRON- PRP 39713 3800 15 prefer prefer VBP 39713 3800 16 , , , 39713 3800 17 to to IN 39713 3800 18 each each DT 39713 3800 19 point point NN 39713 3800 20 of of IN 39713 3800 21 the the DT 39713 3800 22 first first JJ 39713 3800 23 tactile tactile NN 39713 3800 24 space space NN 39713 3800 25 , , , 39713 3800 26 corresponds correspond VBZ 39713 3800 27 a a DT 39713 3800 28 series series NN 39713 3800 29 of of IN 39713 3800 30 muscular muscular JJ 39713 3800 31 sensations sensation NNS 39713 3800 32 [ [ -LRB- 39713 3800 33 Sigma Sigma NNP 39713 3800 34 ] ] -RRB- 39713 3800 35 , , , 39713 3800 36 which which WDT 39713 3800 37 carry carry VBP 39713 3800 38 me -PRON- PRP 39713 3800 39 from from IN 39713 3800 40 a a DT 39713 3800 41 certain certain JJ 39713 3800 42 initial initial JJ 39713 3800 43 situation situation NN 39713 3800 44 to to IN 39713 3800 45 a a DT 39713 3800 46 certain certain JJ 39713 3800 47 final final JJ 39713 3800 48 situation situation NN 39713 3800 49 . . . 39713 3801 1 [ [ -LRB- 39713 3801 2 8 8 CD 39713 3801 3 ] ] -RRB- 39713 3801 4 Moreover moreover RB 39713 3801 5 , , , 39713 3801 6 the the DT 39713 3801 7 same same JJ 39713 3801 8 point point NN 39713 3801 9 of of IN 39713 3801 10 this this DT 39713 3801 11 first first JJ 39713 3801 12 space space NN 39713 3801 13 will will MD 39713 3801 14 correspond correspond VB 39713 3801 15 to to IN 39713 3801 16 [ [ -LRB- 39713 3801 17 Sigma Sigma NNP 39713 3801 18 ] ] -RRB- 39713 3801 19 and and CC 39713 3801 20 [ [ -LRB- 39713 3801 21 Sigma Sigma NNP 39713 3801 22 ] ] -RRB- 39713 3801 23 + + CC 39713 3801 24 [ [ -LRB- 39713 3801 25 sigma sigma NNP 39713 3801 26 ] ] -RRB- 39713 3801 27 , , , 39713 3801 28 if if IN 39713 3801 29 [ [ -LRB- 39713 3801 30 sigma sigma NNP 39713 3801 31 ] ] -RRB- 39713 3801 32 is be VBZ 39713 3801 33 a a DT 39713 3801 34 series series NN 39713 3801 35 of of IN 39713 3801 36 which which WDT 39713 3801 37 we -PRON- PRP 39713 3801 38 know know VBP 39713 3801 39 that that IN 39713 3801 40 it -PRON- PRP 39713 3801 41 does do VBZ 39713 3801 42 not not RB 39713 3801 43 make make VB 39713 3801 44 the the DT 39713 3801 45 finger finger NN 39713 3801 46 _ _ NNP 39713 3801 47 D D NNP 39713 3801 48 _ _ NNP 39713 3801 49 move move NN 39713 3801 50 . . . 39713 3802 1 [ [ -LRB- 39713 3802 2 8 8 CD 39713 3802 3 ] ] -RRB- 39713 3802 4 In in IN 39713 3802 5 place place NN 39713 3802 6 of of IN 39713 3802 7 saying say VBG 39713 3802 8 that that IN 39713 3802 9 we -PRON- PRP 39713 3802 10 refer refer VBP 39713 3802 11 space space NN 39713 3802 12 to to IN 39713 3802 13 axes axis NNS 39713 3802 14 rigidly rigidly RB 39713 3802 15 bound bind VBN 39713 3802 16 to to IN 39713 3802 17 our -PRON- PRP$ 39713 3802 18 body body NN 39713 3802 19 , , , 39713 3802 20 perhaps perhaps RB 39713 3802 21 it -PRON- PRP 39713 3802 22 would would MD 39713 3802 23 be be VB 39713 3802 24 better well JJR 39713 3802 25 to to TO 39713 3802 26 say say VB 39713 3802 27 , , , 39713 3802 28 in in IN 39713 3802 29 conformity conformity NN 39713 3802 30 to to IN 39713 3802 31 what what WP 39713 3802 32 precedes precede NNS 39713 3802 33 , , , 39713 3802 34 that that IN 39713 3802 35 we -PRON- PRP 39713 3802 36 refer refer VBP 39713 3802 37 it -PRON- PRP 39713 3802 38 to to IN 39713 3802 39 axes axis NNS 39713 3802 40 rigidly rigidly RB 39713 3802 41 bound bind VBN 39713 3802 42 to to IN 39713 3802 43 the the DT 39713 3802 44 initial initial JJ 39713 3802 45 situation situation NN 39713 3802 46 of of IN 39713 3802 47 our -PRON- PRP$ 39713 3802 48 body body NN 39713 3802 49 . . . 39713 3803 1 Similarly similarly RB 39713 3803 2 to to IN 39713 3803 3 each each DT 39713 3803 4 element element NN 39713 3803 5 of of IN 39713 3803 6 the the DT 39713 3803 7 continuum continuum NN 39713 3803 8 _ _ NNP 39713 3803 9 C C NNP 39713 3803 10 ' ' '' 39713 3803 11 _ _ NNP 39713 3803 12 , , , 39713 3803 13 or or CC 39713 3803 14 to to IN 39713 3803 15 each each DT 39713 3803 16 point point NN 39713 3803 17 of of IN 39713 3803 18 the the DT 39713 3803 19 second second JJ 39713 3803 20 tactile tactile NN 39713 3803 21 space space NN 39713 3803 22 , , , 39713 3803 23 corresponds correspond VBZ 39713 3803 24 a a DT 39713 3803 25 series series NN 39713 3803 26 of of IN 39713 3803 27 sensations sensation NNS 39713 3803 28 [ [ -LRB- 39713 3803 29 Sigma Sigma NNP 39713 3803 30 ] ] -RRB- 39713 3803 31 ' ' '' 39713 3803 32 , , , 39713 3803 33 and and CC 39713 3803 34 the the DT 39713 3803 35 same same JJ 39713 3803 36 point point NN 39713 3803 37 will will MD 39713 3803 38 correspond correspond VB 39713 3803 39 to to IN 39713 3803 40 [ [ -LRB- 39713 3803 41 Sigma Sigma NNP 39713 3803 42 ] ] -RRB- 39713 3803 43 ' ' '' 39713 3803 44 and and CC 39713 3803 45 to to IN 39713 3803 46 [ [ -LRB- 39713 3803 47 Sigma Sigma NNP 39713 3803 48 ] ] -RRB- 39713 3803 49 ' ' CD 39713 3803 50 + + CC 39713 3803 51 [ [ -LRB- 39713 3803 52 sigma sigma NNP 39713 3803 53 ] ] -RRB- 39713 3803 54 ' ' '' 39713 3803 55 , , , 39713 3803 56 if if IN 39713 3803 57 [ [ -LRB- 39713 3803 58 sigma sigma NNP 39713 3803 59 ] ] -RRB- 39713 3803 60 ' ' `` 39713 3803 61 is be VBZ 39713 3803 62 a a DT 39713 3803 63 series series NN 39713 3803 64 which which WDT 39713 3803 65 does do VBZ 39713 3803 66 not not RB 39713 3803 67 make make VB 39713 3803 68 the the DT 39713 3803 69 finger finger NN 39713 3803 70 _ _ NNP 39713 3803 71 D D NNP 39713 3803 72 ' ' '' 39713 3803 73 _ _ NNP 39713 3803 74 move move NN 39713 3803 75 . . . 39713 3804 1 What what WP 39713 3804 2 makes make VBZ 39713 3804 3 us -PRON- PRP 39713 3804 4 distinguish distinguish VB 39713 3804 5 the the DT 39713 3804 6 various various JJ 39713 3804 7 series series NN 39713 3804 8 designated designate VBN 39713 3804 9 [ [ -LRB- 39713 3804 10 sigma sigma NNP 39713 3804 11 ] ] -RRB- 39713 3804 12 from from IN 39713 3804 13 those those DT 39713 3804 14 called call VBN 39713 3804 15 [ [ -LRB- 39713 3804 16 sigma sigma NNP 39713 3804 17 ] ] -RRB- 39713 3804 18 ' ' `` 39713 3804 19 is be VBZ 39713 3804 20 that that IN 39713 3804 21 the the DT 39713 3804 22 first first JJ 39713 3804 23 do do VBP 39713 3804 24 not not RB 39713 3804 25 alter alter VB 39713 3804 26 the the DT 39713 3804 27 tactile tactile NN 39713 3804 28 impressions impression NNS 39713 3804 29 felt feel VBN 39713 3804 30 by by IN 39713 3804 31 the the DT 39713 3804 32 finger finger NN 39713 3804 33 _ _ NNP 39713 3804 34 D D NNP 39713 3804 35 _ _ NNP 39713 3804 36 and and CC 39713 3804 37 the the DT 39713 3804 38 second second JJ 39713 3804 39 preserve preserve NN 39713 3804 40 those those DT 39713 3804 41 the the DT 39713 3804 42 finger finger NN 39713 3804 43 _ _ NNP 39713 3804 44 D D NNP 39713 3804 45 ' ' '' 39713 3804 46 _ _ NNP 39713 3804 47 feels feel VBZ 39713 3804 48 . . . 39713 3805 1 Now now RB 39713 3805 2 see see VB 39713 3805 3 what what WP 39713 3805 4 we -PRON- PRP 39713 3805 5 ascertain ascertain VBP 39713 3805 6 : : : 39713 3805 7 in in IN 39713 3805 8 the the DT 39713 3805 9 beginning beginning NN 39713 3805 10 my -PRON- PRP$ 39713 3805 11 finger finger NN 39713 3805 12 _ _ NNP 39713 3805 13 D D NNP 39713 3805 14 ' ' '' 39713 3805 15 _ _ NNP 39713 3805 16 feels feel VBZ 39713 3805 17 a a DT 39713 3805 18 sensation sensation NN 39713 3805 19 _ _ NNP 39713 3805 20 A A NNP 39713 3805 21 ' ' '' 39713 3805 22 _ _ NN 39713 3805 23 ; ; : 39713 3805 24 I -PRON- PRP 39713 3805 25 make make VBP 39713 3805 26 movements movement NNS 39713 3805 27 which which WDT 39713 3805 28 produce produce VBP 39713 3805 29 muscular muscular JJ 39713 3805 30 sensations sensation NNS 39713 3805 31 _ _ NNP 39713 3805 32 S S NNP 39713 3805 33 _ _ NNP 39713 3805 34 ; ; : 39713 3805 35 my -PRON- PRP$ 39713 3805 36 finger finger NN 39713 3805 37 _ _ NNP 39713 3805 38 D D NNP 39713 3805 39 _ _ NNP 39713 3805 40 feels feel VBZ 39713 3805 41 the the DT 39713 3805 42 impression impression NN 39713 3805 43 _ _ NNP 39713 3805 44 A A NNP 39713 3805 45 _ _ NNP 39713 3805 46 ; ; : 39713 3805 47 I -PRON- PRP 39713 3805 48 make make VBP 39713 3805 49 movements movement NNS 39713 3805 50 which which WDT 39713 3805 51 produce produce VBP 39713 3805 52 a a DT 39713 3805 53 series series NN 39713 3805 54 of of IN 39713 3805 55 sensations sensation NNS 39713 3805 56 [ [ -LRB- 39713 3805 57 sigma sigma NNP 39713 3805 58 ] ] -RRB- 39713 3805 59 ; ; : 39713 3805 60 my -PRON- PRP$ 39713 3805 61 finger finger NN 39713 3805 62 _ _ NNP 39713 3805 63 D D NNP 39713 3805 64 _ _ NNP 39713 3805 65 continues continue VBZ 39713 3805 66 to to TO 39713 3805 67 feel feel VB 39713 3805 68 the the DT 39713 3805 69 impression impression NN 39713 3805 70 _ _ NNP 39713 3805 71 A A NNP 39713 3805 72 _ _ NNP 39713 3805 73 , , , 39713 3805 74 since since IN 39713 3805 75 this this DT 39713 3805 76 is be VBZ 39713 3805 77 the the DT 39713 3805 78 characteristic characteristic JJ 39713 3805 79 property property NN 39713 3805 80 of of IN 39713 3805 81 the the DT 39713 3805 82 series series NN 39713 3805 83 [ [ -LRB- 39713 3805 84 sigma sigma NNP 39713 3805 85 ] ] -RRB- 39713 3805 86 ; ; : 39713 3805 87 I -PRON- PRP 39713 3805 88 then then RB 39713 3805 89 make make VBP 39713 3805 90 movements movement NNS 39713 3805 91 which which WDT 39713 3805 92 produce produce VBP 39713 3805 93 the the DT 39713 3805 94 series series NN 39713 3805 95 _ _ NNP 39713 3805 96 S S NNP 39713 3805 97 ' ' '' 39713 3805 98 _ _ NNP 39713 3805 99 of of IN 39713 3805 100 muscular muscular JJ 39713 3805 101 sensations sensation NNS 39713 3805 102 , , , 39713 3805 103 _ _ NNP 39713 3805 104 inverse inverse NN 39713 3805 105 _ _ NNP 39713 3805 106 to to IN 39713 3805 107 _ _ NNP 39713 3805 108 S S NNP 39713 3805 109 _ _ NNP 39713 3805 110 in in IN 39713 3805 111 the the DT 39713 3805 112 sense sense NN 39713 3805 113 above above IN 39713 3805 114 given give VBN 39713 3805 115 to to IN 39713 3805 116 this this DT 39713 3805 117 word word NN 39713 3805 118 . . . 39713 3806 1 I -PRON- PRP 39713 3806 2 ascertain ascertain VBP 39713 3806 3 then then RB 39713 3806 4 that that IN 39713 3806 5 my -PRON- PRP$ 39713 3806 6 finger finger NN 39713 3806 7 _ _ NNP 39713 3806 8 D D NNP 39713 3806 9 ' ' '' 39713 3806 10 _ _ NNP 39713 3806 11 feels feel VBZ 39713 3806 12 anew anew RB 39713 3806 13 the the DT 39713 3806 14 impression impression NN 39713 3806 15 _ _ NNP 39713 3806 16 A A NNP 39713 3806 17 ' ' '' 39713 3806 18 _ _ NN 39713 3806 19 . . . 39713 3807 1 ( ( -LRB- 39713 3807 2 It -PRON- PRP 39713 3807 3 is be VBZ 39713 3807 4 of of IN 39713 3807 5 course course NN 39713 3807 6 understood understand VBN 39713 3807 7 that that IN 39713 3807 8 _ _ NNP 39713 3807 9 S S NNP 39713 3807 10 _ _ NNP 39713 3807 11 has have VBZ 39713 3807 12 been be VBN 39713 3807 13 suitably suitably RB 39713 3807 14 chosen choose VBN 39713 3807 15 . . . 39713 3807 16 ) ) -RRB- 39713 3808 1 This this DT 39713 3808 2 means mean VBZ 39713 3808 3 that that IN 39713 3808 4 the the DT 39713 3808 5 series series NN 39713 3808 6 _ _ NNP 39713 3808 7 S S NNP 39713 3808 8 _ _ NNP 39713 3808 9 + + CC 39713 3808 10 [ [ -LRB- 39713 3808 11 sigma sigma NNP 39713 3808 12 ] ] -RRB- 39713 3808 13 + + CC 39713 3808 14 _ _ NNP 39713 3808 15 S S NNP 39713 3808 16 ' ' '' 39713 3808 17 _ _ NNP 39713 3808 18 , , , 39713 3808 19 preserving preserve VBG 39713 3808 20 the the DT 39713 3808 21 tactile tactile NN 39713 3808 22 impressions impression NNS 39713 3808 23 of of IN 39713 3808 24 the the DT 39713 3808 25 finger finger NN 39713 3808 26 _ _ NNP 39713 3808 27 D D NNP 39713 3808 28 ' ' '' 39713 3808 29 _ _ NNP 39713 3808 30 , , , 39713 3808 31 is be VBZ 39713 3808 32 one one CD 39713 3808 33 of of IN 39713 3808 34 the the DT 39713 3808 35 series series NN 39713 3808 36 I -PRON- PRP 39713 3808 37 have have VBP 39713 3808 38 called call VBN 39713 3808 39 [ [ -LRB- 39713 3808 40 sigma sigma NNP 39713 3808 41 ] ] -RRB- 39713 3808 42 ' ' '' 39713 3808 43 . . . 39713 3809 1 Inversely inversely RB 39713 3809 2 , , , 39713 3809 3 if if IN 39713 3809 4 one one PRP 39713 3809 5 takes take VBZ 39713 3809 6 any any DT 39713 3809 7 series series NN 39713 3809 8 [ [ -LRB- 39713 3809 9 sigma sigma NNP 39713 3809 10 ] ] -RRB- 39713 3809 11 ' ' '' 39713 3809 12 , , , 39713 3809 13 _ _ NNP 39713 3809 14 S S NNP 39713 3809 15 ' ' '' 39713 3809 16 _ _ NN 39713 3809 17 + + CC 39713 3809 18 [ [ -LRB- 39713 3809 19 sigma sigma NNP 39713 3809 20 ] ] -RRB- 39713 3809 21 ' ' '' 39713 3809 22 + + CC 39713 3809 23 _ _ NNP 39713 3809 24 S S NNP 39713 3809 25 _ _ NNP 39713 3809 26 will will MD 39713 3809 27 be be VB 39713 3809 28 one one CD 39713 3809 29 of of IN 39713 3809 30 the the DT 39713 3809 31 series series NN 39713 3809 32 that that WDT 39713 3809 33 we -PRON- PRP 39713 3809 34 call call VBP 39713 3809 35 [ [ -LRB- 39713 3809 36 sigma sigma NNP 39713 3809 37 ] ] -RRB- 39713 3809 38 ' ' '' 39713 3809 39 . . . 39713 3810 1 Thus thus RB 39713 3810 2 if if IN 39713 3810 3 _ _ NNP 39713 3810 4 S S NNP 39713 3810 5 _ _ NNP 39713 3810 6 is be VBZ 39713 3810 7 suitably suitably RB 39713 3810 8 chosen choose VBN 39713 3810 9 , , , 39713 3810 10 _ _ NNP 39713 3810 11 S S NNP 39713 3810 12 _ _ NNP 39713 3810 13 + + CC 39713 3810 14 [ [ -LRB- 39713 3810 15 sigma sigma NNP 39713 3810 16 ] ] -RRB- 39713 3810 17 + + CC 39713 3810 18 _ _ NNP 39713 3810 19 S S NNP 39713 3810 20 ' ' '' 39713 3810 21 _ _ NNP 39713 3810 22 will will MD 39713 3810 23 be be VB 39713 3810 24 a a DT 39713 3810 25 series series NN 39713 3810 26 [ [ -LRB- 39713 3810 27 sigma sigma NNP 39713 3810 28 ] ] -RRB- 39713 3810 29 ' ' '' 39713 3810 30 , , , 39713 3810 31 and and CC 39713 3810 32 by by IN 39713 3810 33 making make VBG 39713 3810 34 [ [ -LRB- 39713 3810 35 sigma sigma NNP 39713 3810 36 ] ] -RRB- 39713 3810 37 vary vary VBP 39713 3810 38 in in IN 39713 3810 39 all all DT 39713 3810 40 possible possible JJ 39713 3810 41 ways way NNS 39713 3810 42 , , , 39713 3810 43 we -PRON- PRP 39713 3810 44 shall shall MD 39713 3810 45 obtain obtain VB 39713 3810 46 all all PDT 39713 3810 47 the the DT 39713 3810 48 possible possible JJ 39713 3810 49 series series NN 39713 3810 50 [ [ -LRB- 39713 3810 51 sigma sigma NNP 39713 3810 52 ] ] -RRB- 39713 3810 53 ' ' '' 39713 3810 54 . . . 39713 3811 1 Not not RB 39713 3811 2 yet yet CC 39713 3811 3 knowing know VBG 39713 3811 4 geometry geometry NN 39713 3811 5 , , , 39713 3811 6 we -PRON- PRP 39713 3811 7 limit limit VBP 39713 3811 8 ourselves -PRON- PRP 39713 3811 9 to to IN 39713 3811 10 verifying verify VBG 39713 3811 11 all all PDT 39713 3811 12 that that DT 39713 3811 13 , , , 39713 3811 14 but but CC 39713 3811 15 here here RB 39713 3811 16 is be VBZ 39713 3811 17 how how WRB 39713 3811 18 those those DT 39713 3811 19 who who WP 39713 3811 20 know know VBP 39713 3811 21 geometry geometry NN 39713 3811 22 would would MD 39713 3811 23 explain explain VB 39713 3811 24 the the DT 39713 3811 25 fact fact NN 39713 3811 26 . . . 39713 3812 1 In in IN 39713 3812 2 the the DT 39713 3812 3 beginning beginning NN 39713 3812 4 my -PRON- PRP$ 39713 3812 5 finger finger NN 39713 3812 6 _ _ NNP 39713 3812 7 D D NNP 39713 3812 8 ' ' `` 39713 3812 9 _ _ NNP 39713 3812 10 is be VBZ 39713 3812 11 at at IN 39713 3812 12 the the DT 39713 3812 13 point point NN 39713 3812 14 _ _ NNP 39713 3812 15 M M NNP 39713 3812 16 _ _ NNP 39713 3812 17 , , , 39713 3812 18 in in IN 39713 3812 19 contact contact NN 39713 3812 20 with with IN 39713 3812 21 the the DT 39713 3812 22 object object NN 39713 3812 23 _ _ NNP 39713 3812 24 a a DT 39713 3812 25 _ _ NNP 39713 3812 26 , , , 39713 3812 27 which which WDT 39713 3812 28 makes make VBZ 39713 3812 29 it -PRON- PRP 39713 3812 30 feel feel VB 39713 3812 31 the the DT 39713 3812 32 impression impression NN 39713 3812 33 _ _ NNP 39713 3812 34 A A NNP 39713 3812 35 ' ' '' 39713 3812 36 _ _ NN 39713 3812 37 . . . 39713 3813 1 I -PRON- PRP 39713 3813 2 make make VBP 39713 3813 3 the the DT 39713 3813 4 movements movement NNS 39713 3813 5 corresponding correspond VBG 39713 3813 6 to to IN 39713 3813 7 the the DT 39713 3813 8 series series NN 39713 3813 9 _ _ NNP 39713 3813 10 S S NNP 39713 3813 11 _ _ NNP 39713 3813 12 ; ; : 39713 3813 13 I -PRON- PRP 39713 3813 14 have have VBP 39713 3813 15 said say VBN 39713 3813 16 that that IN 39713 3813 17 this this DT 39713 3813 18 series series NN 39713 3813 19 should should MD 39713 3813 20 be be VB 39713 3813 21 suitably suitably RB 39713 3813 22 chosen choose VBN 39713 3813 23 , , , 39713 3813 24 I -PRON- PRP 39713 3813 25 should should MD 39713 3813 26 so so RB 39713 3813 27 make make VB 39713 3813 28 this this DT 39713 3813 29 choice choice NN 39713 3813 30 that that IN 39713 3813 31 these these DT 39713 3813 32 movements movement NNS 39713 3813 33 carry carry VBP 39713 3813 34 the the DT 39713 3813 35 finger finger NN 39713 3813 36 _ _ NNP 39713 3813 37 D D NNP 39713 3813 38 _ _ NNP 39713 3813 39 to to IN 39713 3813 40 the the DT 39713 3813 41 point point NN 39713 3813 42 originally originally RB 39713 3813 43 occupied occupy VBN 39713 3813 44 by by IN 39713 3813 45 the the DT 39713 3813 46 finger finger NN 39713 3813 47 _ _ NNP 39713 3813 48 D D NNP 39713 3813 49 ' ' '' 39713 3813 50 _ _ NNP 39713 3813 51 , , , 39713 3813 52 that that RB 39713 3813 53 is is RB 39713 3813 54 , , , 39713 3813 55 to to IN 39713 3813 56 the the DT 39713 3813 57 point point NN 39713 3813 58 _ _ NNP 39713 3813 59 M M NNP 39713 3813 60 _ _ NNP 39713 3813 61 ; ; : 39713 3813 62 this this DT 39713 3813 63 finger finger NN 39713 3813 64 _ _ NNP 39713 3813 65 D D NNP 39713 3813 66 _ _ NNP 39713 3813 67 will will MD 39713 3813 68 thus thus RB 39713 3813 69 be be VB 39713 3813 70 in in IN 39713 3813 71 contact contact NN 39713 3813 72 with with IN 39713 3813 73 the the DT 39713 3813 74 object object NN 39713 3813 75 _ _ NNP 39713 3813 76 a a DT 39713 3813 77 _ _ NNP 39713 3813 78 , , , 39713 3813 79 which which WDT 39713 3813 80 will will MD 39713 3813 81 make make VB 39713 3813 82 it -PRON- PRP 39713 3813 83 feel feel VB 39713 3813 84 the the DT 39713 3813 85 impression impression NN 39713 3813 86 _ _ NNP 39713 3813 87 A A NNP 39713 3813 88 _ _ NNP 39713 3813 89 . . . 39713 3814 1 I -PRON- PRP 39713 3814 2 then then RB 39713 3814 3 make make VBP 39713 3814 4 the the DT 39713 3814 5 movements movement NNS 39713 3814 6 corresponding correspond VBG 39713 3814 7 to to IN 39713 3814 8 the the DT 39713 3814 9 series series NN 39713 3814 10 [ [ -LRB- 39713 3814 11 sigma sigma NNP 39713 3814 12 ] ] -RRB- 39713 3814 13 ; ; : 39713 3814 14 in in IN 39713 3814 15 these these DT 39713 3814 16 movements movement NNS 39713 3814 17 , , , 39713 3814 18 by by IN 39713 3814 19 hypothesis hypothesis NN 39713 3814 20 , , , 39713 3814 21 the the DT 39713 3814 22 position position NN 39713 3814 23 of of IN 39713 3814 24 the the DT 39713 3814 25 finger finger NN 39713 3814 26 _ _ NNP 39713 3814 27 D D NNP 39713 3814 28 _ _ NNP 39713 3814 29 does do VBZ 39713 3814 30 not not RB 39713 3814 31 change change VB 39713 3814 32 , , , 39713 3814 33 this this DT 39713 3814 34 finger finger NN 39713 3814 35 therefore therefore RB 39713 3814 36 remains remain VBZ 39713 3814 37 in in IN 39713 3814 38 contact contact NN 39713 3814 39 with with IN 39713 3814 40 the the DT 39713 3814 41 object object NN 39713 3814 42 a a NN 39713 3814 43 and and CC 39713 3814 44 continues continue VBZ 39713 3814 45 to to TO 39713 3814 46 feel feel VB 39713 3814 47 the the DT 39713 3814 48 impression impression NN 39713 3814 49 _ _ NNP 39713 3814 50 A A NNP 39713 3814 51 _ _ NNP 39713 3814 52 . . . 39713 3815 1 Finally finally RB 39713 3815 2 I -PRON- PRP 39713 3815 3 make make VBP 39713 3815 4 the the DT 39713 3815 5 movements movement NNS 39713 3815 6 corresponding correspond VBG 39713 3815 7 to to IN 39713 3815 8 the the DT 39713 3815 9 series series NN 39713 3815 10 _ _ NNP 39713 3815 11 S S NNP 39713 3815 12 ' ' '' 39713 3815 13 _ _ NNP 39713 3815 14 . . . 39713 3816 1 As as IN 39713 3816 2 _ _ NNP 39713 3816 3 S S NNP 39713 3816 4 ' ' '' 39713 3816 5 _ _ NNP 39713 3816 6 is be VBZ 39713 3816 7 inverse inverse NN 39713 3816 8 to to IN 39713 3816 9 _ _ NNP 39713 3816 10 S S NNP 39713 3816 11 _ _ NNP 39713 3816 12 , , , 39713 3816 13 these these DT 39713 3816 14 movements movement NNS 39713 3816 15 carry carry VBP 39713 3816 16 the the DT 39713 3816 17 finger finger NN 39713 3816 18 _ _ NNP 39713 3816 19 D D NNP 39713 3816 20 ' ' `` 39713 3816 21 _ _ NNP 39713 3816 22 to to IN 39713 3816 23 the the DT 39713 3816 24 point point NN 39713 3816 25 previously previously RB 39713 3816 26 occupied occupy VBN 39713 3816 27 by by IN 39713 3816 28 the the DT 39713 3816 29 finger finger NN 39713 3816 30 _ _ NNP 39713 3816 31 D D NNP 39713 3816 32 _ _ NNP 39713 3816 33 , , , 39713 3816 34 that that RB 39713 3816 35 is is RB 39713 3816 36 , , , 39713 3816 37 to to IN 39713 3816 38 the the DT 39713 3816 39 point point NN 39713 3816 40 _ _ NNP 39713 3816 41 M M NNP 39713 3816 42 _ _ NNP 39713 3816 43 . . . 39713 3817 1 If if IN 39713 3817 2 , , , 39713 3817 3 as as IN 39713 3817 4 may may MD 39713 3817 5 be be VB 39713 3817 6 supposed suppose VBN 39713 3817 7 , , , 39713 3817 8 the the DT 39713 3817 9 object object NN 39713 3817 10 _ _ NNP 39713 3817 11 a a DT 39713 3817 12 _ _ NNP 39713 3817 13 has have VBZ 39713 3817 14 not not RB 39713 3817 15 budged budge VBN 39713 3817 16 , , , 39713 3817 17 this this DT 39713 3817 18 finger finger NN 39713 3817 19 _ _ NNP 39713 3817 20 D D NNP 39713 3817 21 ' ' '' 39713 3817 22 _ _ NNP 39713 3817 23 will will MD 39713 3817 24 be be VB 39713 3817 25 in in IN 39713 3817 26 contact contact NN 39713 3817 27 with with IN 39713 3817 28 this this DT 39713 3817 29 object object NN 39713 3817 30 and and CC 39713 3817 31 will will MD 39713 3817 32 feel feel VB 39713 3817 33 anew anew JJ 39713 3817 34 the the DT 39713 3817 35 impression impression NN 39713 3817 36 _ _ NNP 39713 3817 37 A A NNP 39713 3817 38 ' ' '' 39713 3817 39 _ _ NN 39713 3817 40 .... .... NFP 39713 3817 41 _ _ NNP 39713 3817 42 Q.E.D. Q.E.D. NNP 39713 3817 43 _ _ NNP 39713 3817 44 Let let VB 39713 3817 45 us -PRON- PRP 39713 3817 46 see see VB 39713 3817 47 the the DT 39713 3817 48 consequences consequence NNS 39713 3817 49 . . . 39713 3818 1 I -PRON- PRP 39713 3818 2 consider consider VBP 39713 3818 3 a a DT 39713 3818 4 series series NN 39713 3818 5 of of IN 39713 3818 6 muscular muscular JJ 39713 3818 7 sensations sensation NNS 39713 3818 8 [ [ -LRB- 39713 3818 9 Sigma Sigma NNP 39713 3818 10 ] ] -RRB- 39713 3818 11 . . . 39713 3819 1 To to IN 39713 3819 2 this this DT 39713 3819 3 series series NN 39713 3819 4 will will MD 39713 3819 5 correspond correspond VB 39713 3819 6 a a DT 39713 3819 7 point point NN 39713 3819 8 _ _ NNP 39713 3819 9 M M NNP 39713 3819 10 _ _ NNP 39713 3819 11 of of IN 39713 3819 12 the the DT 39713 3819 13 first first JJ 39713 3819 14 tactile tactile NN 39713 3819 15 space space NN 39713 3819 16 . . . 39713 3820 1 Now now RB 39713 3820 2 take take VB 39713 3820 3 again again RB 39713 3820 4 the the DT 39713 3820 5 two two CD 39713 3820 6 series series NN 39713 3820 7 _ _ NNP 39713 3820 8 S S NNP 39713 3820 9 _ _ NNP 39713 3820 10 and and CC 39713 3820 11 _ _ NNP 39713 3820 12 S S NNP 39713 3820 13 ' ' '' 39713 3820 14 _ _ NNP 39713 3820 15 , , , 39713 3820 16 inverses inverse NNS 39713 3820 17 of of IN 39713 3820 18 one one CD 39713 3820 19 another another DT 39713 3820 20 , , , 39713 3820 21 of of IN 39713 3820 22 which which WDT 39713 3820 23 we -PRON- PRP 39713 3820 24 have have VBP 39713 3820 25 just just RB 39713 3820 26 spoken speak VBN 39713 3820 27 . . . 39713 3821 1 To to IN 39713 3821 2 the the DT 39713 3821 3 series series NN 39713 3821 4 _ _ NNP 39713 3821 5 S S NNP 39713 3821 6 _ _ NNP 39713 3821 7 + + CC 39713 3821 8 [ [ -LRB- 39713 3821 9 Sigma Sigma NNP 39713 3821 10 ] ] -RRB- 39713 3821 11 + + CC 39713 3821 12 _ _ NNP 39713 3821 13 S S NNP 39713 3821 14 ' ' '' 39713 3821 15 _ _ NNP 39713 3821 16 will will MD 39713 3821 17 correspond correspond VB 39713 3821 18 a a DT 39713 3821 19 point point NN 39713 3821 20 _ _ NNP 39713 3821 21 N N NNP 39713 3821 22 _ _ NNP 39713 3821 23 of of IN 39713 3821 24 the the DT 39713 3821 25 second second JJ 39713 3821 26 tactile tactile NN 39713 3821 27 space space NN 39713 3821 28 , , , 39713 3821 29 since since IN 39713 3821 30 to to IN 39713 3821 31 any any DT 39713 3821 32 series series NN 39713 3821 33 of of IN 39713 3821 34 muscular muscular JJ 39713 3821 35 sensations sensation NNS 39713 3821 36 corresponds correspond NNS 39713 3821 37 , , , 39713 3821 38 as as IN 39713 3821 39 we -PRON- PRP 39713 3821 40 have have VBP 39713 3821 41 said say VBD 39713 3821 42 , , , 39713 3821 43 a a DT 39713 3821 44 point point NN 39713 3821 45 , , , 39713 3821 46 whether whether IN 39713 3821 47 in in IN 39713 3821 48 the the DT 39713 3821 49 first first JJ 39713 3821 50 space space NN 39713 3821 51 or or CC 39713 3821 52 in in IN 39713 3821 53 the the DT 39713 3821 54 second second NN 39713 3821 55 . . . 39713 3822 1 I -PRON- PRP 39713 3822 2 am be VBP 39713 3822 3 going go VBG 39713 3822 4 to to TO 39713 3822 5 consider consider VB 39713 3822 6 the the DT 39713 3822 7 two two CD 39713 3822 8 points point NNS 39713 3822 9 _ _ NNP 39713 3822 10 N N NNP 39713 3822 11 _ _ NNP 39713 3822 12 and and CC 39713 3822 13 _ _ NNP 39713 3822 14 M M NNP 39713 3822 15 _ _ NNP 39713 3822 16 , , , 39713 3822 17 thus thus RB 39713 3822 18 defined define VBN 39713 3822 19 , , , 39713 3822 20 as as IN 39713 3822 21 corresponding correspond VBG 39713 3822 22 . . . 39713 3823 1 What what WP 39713 3823 2 authorizes authorize VBZ 39713 3823 3 me -PRON- PRP 39713 3823 4 so so RB 39713 3823 5 to to TO 39713 3823 6 do do VB 39713 3823 7 ? ? . 39713 3824 1 For for IN 39713 3824 2 this this DT 39713 3824 3 correspondence correspondence NN 39713 3824 4 to to TO 39713 3824 5 be be VB 39713 3824 6 admissible admissible JJ 39713 3824 7 , , , 39713 3824 8 it -PRON- PRP 39713 3824 9 is be VBZ 39713 3824 10 necessary necessary JJ 39713 3824 11 that that IN 39713 3824 12 if if IN 39713 3824 13 two two CD 39713 3824 14 points point NNS 39713 3824 15 _ _ NNP 39713 3824 16 M M NNP 39713 3824 17 _ _ NNP 39713 3824 18 and and CC 39713 3824 19 _ _ NNP 39713 3824 20 M M NNP 39713 3824 21 ' ' '' 39713 3824 22 _ _ NNP 39713 3824 23 , , , 39713 3824 24 corresponding correspond VBG 39713 3824 25 in in IN 39713 3824 26 the the DT 39713 3824 27 first first JJ 39713 3824 28 space space NN 39713 3824 29 to to IN 39713 3824 30 two two CD 39713 3824 31 series serie NNS 39713 3824 32 [ [ -LRB- 39713 3824 33 Sigma Sigma NNP 39713 3824 34 ] ] -RRB- 39713 3824 35 and and CC 39713 3824 36 [ [ -LRB- 39713 3824 37 Sigma Sigma NNP 39713 3824 38 ] ] -RRB- 39713 3824 39 ' ' '' 39713 3824 40 , , , 39713 3824 41 are be VBP 39713 3824 42 identical identical JJ 39713 3824 43 , , , 39713 3824 44 so so RB 39713 3824 45 also also RB 39713 3824 46 are be VBP 39713 3824 47 the the DT 39713 3824 48 two two CD 39713 3824 49 corresponding corresponding JJ 39713 3824 50 points point NNS 39713 3824 51 of of IN 39713 3824 52 the the DT 39713 3824 53 second second JJ 39713 3824 54 space space NN 39713 3824 55 _ _ NNP 39713 3824 56 N N NNP 39713 3824 57 _ _ NNP 39713 3824 58 and and CC 39713 3824 59 _ _ NNP 39713 3824 60 N N NNP 39713 3824 61 ' ' '' 39713 3824 62 _ _ NNP 39713 3824 63 , , , 39713 3824 64 that that RB 39713 3824 65 is is RB 39713 3824 66 , , , 39713 3824 67 the the DT 39713 3824 68 two two CD 39713 3824 69 points point NNS 39713 3824 70 which which WDT 39713 3824 71 correspond correspond VBP 39713 3824 72 to to IN 39713 3824 73 the the DT 39713 3824 74 two two CD 39713 3824 75 series series NN 39713 3824 76 _ _ NNP 39713 3824 77 S S NNP 39713 3824 78 _ _ NNP 39713 3824 79 + + CC 39713 3824 80 [ [ -LRB- 39713 3824 81 Sigma Sigma NNP 39713 3824 82 ] ] -RRB- 39713 3824 83 + + CC 39713 3824 84 _ _ NNP 39713 3824 85 S S NNP 39713 3824 86 ' ' '' 39713 3824 87 _ _ NNP 39713 3824 88 and and CC 39713 3824 89 _ _ NNP 39713 3824 90 S S NNP 39713 3824 91 _ _ NNP 39713 3824 92 + + CC 39713 3824 93 [ [ -LRB- 39713 3824 94 Sigma Sigma NNP 39713 3824 95 ] ] -RRB- 39713 3824 96 ' ' `` 39713 3824 97 + + CC 39713 3824 98 _ _ NNP 39713 3824 99 S S NNP 39713 3824 100 ' ' '' 39713 3824 101 _ _ NN 39713 3824 102 . . . 39713 3825 1 Now now RB 39713 3825 2 we -PRON- PRP 39713 3825 3 shall shall MD 39713 3825 4 see see VB 39713 3825 5 that that IN 39713 3825 6 this this DT 39713 3825 7 condition condition NN 39713 3825 8 is be VBZ 39713 3825 9 fulfilled fulfil VBN 39713 3825 10 . . . 39713 3826 1 First first RB 39713 3826 2 a a DT 39713 3826 3 remark remark NN 39713 3826 4 . . . 39713 3827 1 As as IN 39713 3827 2 _ _ NNP 39713 3827 3 S S NNP 39713 3827 4 _ _ NNP 39713 3827 5 and and CC 39713 3827 6 _ _ NNP 39713 3827 7 S S NNP 39713 3827 8 ' ' '' 39713 3827 9 _ _ NNP 39713 3827 10 are be VBP 39713 3827 11 inverses inverse NNS 39713 3827 12 of of IN 39713 3827 13 one one CD 39713 3827 14 another another DT 39713 3827 15 , , , 39713 3827 16 we -PRON- PRP 39713 3827 17 shall shall MD 39713 3827 18 have have VB 39713 3827 19 _ _ NNP 39713 3827 20 S S NNP 39713 3827 21 _ _ NNP 39713 3827 22 + + NNP 39713 3827 23 _ _ NNP 39713 3827 24 S S NNP 39713 3827 25 ' ' '' 39713 3827 26 _ _ NNP 39713 3827 27 = = SYM 39713 3827 28 0 0 CD 39713 3827 29 , , , 39713 3827 30 and and CC 39713 3827 31 consequently consequently RB 39713 3827 32 _ _ NNP 39713 3827 33 S S NNP 39713 3827 34 _ _ NNP 39713 3827 35 + + NNP 39713 3827 36 _ _ NNP 39713 3827 37 S S NNP 39713 3827 38 ' ' '' 39713 3827 39 _ _ NN 39713 3827 40 + + CC 39713 3827 41 [ [ -LRB- 39713 3827 42 Sigma Sigma NNP 39713 3827 43 ] ] -RRB- 39713 3827 44 = = NFP 39713 3827 45 [ [ -LRB- 39713 3827 46 Sigma Sigma NNP 39713 3827 47 ] ] -RRB- 39713 3827 48 + + CC 39713 3827 49 _ _ NNP 39713 3827 50 S S NNP 39713 3827 51 _ _ NNP 39713 3827 52 + + NNP 39713 3827 53 _ _ NNP 39713 3827 54 S S NNP 39713 3827 55 ' ' '' 39713 3827 56 _ _ NN 39713 3827 57 = = NFP 39713 3827 58 [ [ -LRB- 39713 3827 59 Sigma Sigma NNP 39713 3827 60 ] ] -RRB- 39713 3827 61 , , , 39713 3827 62 or or CC 39713 3827 63 again again RB 39713 3827 64 [ [ -LRB- 39713 3827 65 Sigma Sigma NNP 39713 3827 66 ] ] -RRB- 39713 3827 67 + + CC 39713 3827 68 _ _ NNP 39713 3827 69 S S NNP 39713 3827 70 _ _ NNP 39713 3827 71 + + NNP 39713 3827 72 _ _ NNP 39713 3827 73 S S NNP 39713 3827 74 ' ' '' 39713 3827 75 _ _ NN 39713 3827 76 + + CC 39713 3827 77 [ [ -LRB- 39713 3827 78 Sigma Sigma NNP 39713 3827 79 ] ] -RRB- 39713 3827 80 ' ' '' 39713 3827 81 = = NFP 39713 3827 82 [ [ -LRB- 39713 3827 83 Sigma Sigma NNP 39713 3827 84 ] ] -RRB- 39713 3827 85 + + CC 39713 3827 86 [ [ -LRB- 39713 3827 87 Sigma Sigma NNP 39713 3827 88 ] ] -RRB- 39713 3827 89 ' ' '' 39713 3827 90 ; ; : 39713 3827 91 but but CC 39713 3827 92 it -PRON- PRP 39713 3827 93 does do VBZ 39713 3827 94 not not RB 39713 3827 95 follow follow VB 39713 3827 96 that that IN 39713 3827 97 we -PRON- PRP 39713 3827 98 have have VBP 39713 3827 99 _ _ NNP 39713 3827 100 S S NNP 39713 3827 101 _ _ NNP 39713 3827 102 + + CC 39713 3827 103 [ [ -LRB- 39713 3827 104 Sigma Sigma NNP 39713 3827 105 ] ] -RRB- 39713 3827 106 + + CC 39713 3827 107 _ _ NNP 39713 3827 108 S S NNP 39713 3827 109 ' ' '' 39713 3827 110 _ _ NN 39713 3827 111 = = NFP 39713 3827 112 [ [ -LRB- 39713 3827 113 Sigma Sigma NNP 39713 3827 114 ] ] -RRB- 39713 3827 115 ; ; : 39713 3827 116 because because IN 39713 3827 117 , , , 39713 3827 118 though though IN 39713 3827 119 we -PRON- PRP 39713 3827 120 have have VBP 39713 3827 121 used use VBN 39713 3827 122 the the DT 39713 3827 123 addition addition NN 39713 3827 124 sign sign NN 39713 3827 125 to to TO 39713 3827 126 represent represent VB 39713 3827 127 the the DT 39713 3827 128 succession succession NN 39713 3827 129 of of IN 39713 3827 130 our -PRON- PRP$ 39713 3827 131 sensations sensation NNS 39713 3827 132 , , , 39713 3827 133 it -PRON- PRP 39713 3827 134 is be VBZ 39713 3827 135 clear clear JJ 39713 3827 136 that that IN 39713 3827 137 the the DT 39713 3827 138 order order NN 39713 3827 139 of of IN 39713 3827 140 this this DT 39713 3827 141 succession succession NN 39713 3827 142 is be VBZ 39713 3827 143 not not RB 39713 3827 144 indifferent indifferent JJ 39713 3827 145 : : : 39713 3827 146 we -PRON- PRP 39713 3827 147 can can MD 39713 3827 148 not not RB 39713 3827 149 , , , 39713 3827 150 therefore therefore RB 39713 3827 151 , , , 39713 3827 152 as as IN 39713 3827 153 in in IN 39713 3827 154 ordinary ordinary JJ 39713 3827 155 addition addition NN 39713 3827 156 , , , 39713 3827 157 invert invert VB 39713 3827 158 the the DT 39713 3827 159 order order NN 39713 3827 160 of of IN 39713 3827 161 the the DT 39713 3827 162 terms term NNS 39713 3827 163 ; ; : 39713 3827 164 to to TO 39713 3827 165 use use VB 39713 3827 166 abridged abridge VBN 39713 3827 167 language language NN 39713 3827 168 , , , 39713 3827 169 our -PRON- PRP$ 39713 3827 170 operations operation NNS 39713 3827 171 are be VBP 39713 3827 172 associative associative JJ 39713 3827 173 , , , 39713 3827 174 but but CC 39713 3827 175 not not RB 39713 3827 176 commutative commutative JJ 39713 3827 177 . . . 39713 3828 1 That that DT 39713 3828 2 fixed fix VBN 39713 3828 3 , , , 39713 3828 4 in in IN 39713 3828 5 order order NN 39713 3828 6 that that IN 39713 3828 7 [ [ -LRB- 39713 3828 8 Sigma Sigma NNP 39713 3828 9 ] ] -RRB- 39713 3828 10 and and CC 39713 3828 11 [ [ -LRB- 39713 3828 12 Sigma Sigma NNP 39713 3828 13 ] ] -RRB- 39713 3828 14 ' ' `` 39713 3828 15 should should MD 39713 3828 16 correspond correspond VB 39713 3828 17 to to IN 39713 3828 18 the the DT 39713 3828 19 same same JJ 39713 3828 20 point point NN 39713 3828 21 _ _ NNP 39713 3828 22 M M NNP 39713 3828 23 _ _ NNP 39713 3828 24 = = SYM 39713 3828 25 _ _ NNP 39713 3828 26 M M NNP 39713 3828 27 ' ' '' 39713 3828 28 _ _ NNP 39713 3828 29 of of IN 39713 3828 30 the the DT 39713 3828 31 first first JJ 39713 3828 32 space space NN 39713 3828 33 , , , 39713 3828 34 it -PRON- PRP 39713 3828 35 is be VBZ 39713 3828 36 necessary necessary JJ 39713 3828 37 and and CC 39713 3828 38 sufficient sufficient JJ 39713 3828 39 for for IN 39713 3828 40 us -PRON- PRP 39713 3828 41 to to TO 39713 3828 42 have have VB 39713 3828 43 [ [ -LRB- 39713 3828 44 Sigma Sigma NNP 39713 3828 45 ] ] -RRB- 39713 3828 46 ' ' '' 39713 3828 47 = = NFP 39713 3828 48 [ [ -LRB- 39713 3828 49 Sigma Sigma NNP 39713 3828 50 ] ] -RRB- 39713 3828 51 + + CC 39713 3828 52 [ [ -LRB- 39713 3828 53 sigma sigma NNP 39713 3828 54 ] ] -RRB- 39713 3828 55 . . . 39713 3829 1 We -PRON- PRP 39713 3829 2 shall shall MD 39713 3829 3 then then RB 39713 3829 4 have have VB 39713 3829 5 : : : 39713 3829 6 _ _ NNP 39713 3829 7 S S NNP 39713 3829 8 _ _ NNP 39713 3829 9 + + CC 39713 3829 10 [ [ -LRB- 39713 3829 11 Sigma Sigma NNP 39713 3829 12 ] ] -RRB- 39713 3829 13 ' ' `` 39713 3829 14 + + CC 39713 3829 15 _ _ NNP 39713 3829 16 S S NNP 39713 3829 17 ' ' '' 39713 3829 18 _ _ NNP 39713 3829 19 = = SYM 39713 3829 20 _ _ NNP 39713 3829 21 S S NNP 39713 3829 22 _ _ NNP 39713 3829 23 + + CC 39713 3829 24 [ [ -LRB- 39713 3829 25 Sigma Sigma NNP 39713 3829 26 ] ] -RRB- 39713 3829 27 + + CC 39713 3829 28 [ [ -LRB- 39713 3829 29 sigma sigma NNP 39713 3829 30 ] ] -RRB- 39713 3829 31 + + CC 39713 3829 32 _ _ NNP 39713 3829 33 S S NNP 39713 3829 34 ' ' '' 39713 3829 35 _ _ NNP 39713 3829 36 = = SYM 39713 3829 37 _ _ NNP 39713 3829 38 S S NNP 39713 3829 39 _ _ NNP 39713 3829 40 + + CC 39713 3829 41 [ [ -LRB- 39713 3829 42 Sigma Sigma NNP 39713 3829 43 ] ] -RRB- 39713 3829 44 + + CC 39713 3829 45 _ _ NNP 39713 3829 46 S S NNP 39713 3829 47 ' ' '' 39713 3829 48 _ _ NNP 39713 3829 49 + + NNP 39713 3829 50 _ _ NNP 39713 3829 51 S S NNP 39713 3829 52 _ _ NNP 39713 3829 53 + + CC 39713 3829 54 [ [ -LRB- 39713 3829 55 sigma sigma NNP 39713 3829 56 ] ] -RRB- 39713 3829 57 + + CC 39713 3829 58 _ _ NNP 39713 3829 59 S S NNP 39713 3829 60 ' ' '' 39713 3829 61 _ _ NN 39713 3829 62 . . . 39713 3830 1 But but CC 39713 3830 2 we -PRON- PRP 39713 3830 3 have have VBP 39713 3830 4 just just RB 39713 3830 5 ascertained ascertain VBN 39713 3830 6 that that IN 39713 3830 7 _ _ NNP 39713 3830 8 S S NNP 39713 3830 9 _ _ NNP 39713 3830 10 + + CC 39713 3830 11 [ [ -LRB- 39713 3830 12 sigma sigma NNP 39713 3830 13 ] ] -RRB- 39713 3830 14 + + CC 39713 3830 15 _ _ NNP 39713 3830 16 S S NNP 39713 3830 17 ' ' '' 39713 3830 18 _ _ NNP 39713 3830 19 was be VBD 39713 3830 20 one one CD 39713 3830 21 of of IN 39713 3830 22 the the DT 39713 3830 23 series series NN 39713 3830 24 [ [ -LRB- 39713 3830 25 sigma sigma NNP 39713 3830 26 ] ] -RRB- 39713 3830 27 ' ' '' 39713 3830 28 . . . 39713 3831 1 We -PRON- PRP 39713 3831 2 shall shall MD 39713 3831 3 therefore therefore RB 39713 3831 4 have have VB 39713 3831 5 : : : 39713 3831 6 _ _ NNP 39713 3831 7 S S NNP 39713 3831 8 _ _ NNP 39713 3831 9 + + CC 39713 3831 10 [ [ -LRB- 39713 3831 11 Sigma Sigma NNP 39713 3831 12 ] ] -RRB- 39713 3831 13 ' ' `` 39713 3831 14 + + CC 39713 3831 15 _ _ NNP 39713 3831 16 S S NNP 39713 3831 17 ' ' '' 39713 3831 18 _ _ NNP 39713 3831 19 = = SYM 39713 3831 20 _ _ NNP 39713 3831 21 S S NNP 39713 3831 22 _ _ NNP 39713 3831 23 + + CC 39713 3831 24 [ [ -LRB- 39713 3831 25 Sigma Sigma NNP 39713 3831 26 ] ] -RRB- 39713 3831 27 + + CC 39713 3831 28 _ _ NNP 39713 3831 29 S S NNP 39713 3831 30 ' ' '' 39713 3831 31 _ _ NN 39713 3831 32 + + CC 39713 3831 33 [ [ -LRB- 39713 3831 34 sigma sigma NNP 39713 3831 35 ] ] -RRB- 39713 3831 36 ' ' '' 39713 3831 37 , , , 39713 3831 38 which which WDT 39713 3831 39 means mean VBZ 39713 3831 40 that that IN 39713 3831 41 the the DT 39713 3831 42 series series NN 39713 3831 43 _ _ NNP 39713 3831 44 S S NNP 39713 3831 45 _ _ NNP 39713 3831 46 + + CC 39713 3831 47 [ [ -LRB- 39713 3831 48 Sigma Sigma NNP 39713 3831 49 ] ] -RRB- 39713 3831 50 ' ' `` 39713 3831 51 + + CC 39713 3831 52 _ _ NNP 39713 3831 53 S S NNP 39713 3831 54 ' ' '' 39713 3831 55 _ _ NNP 39713 3831 56 and and CC 39713 3831 57 _ _ NNP 39713 3831 58 S S NNP 39713 3831 59 _ _ NNP 39713 3831 60 + + CC 39713 3831 61 [ [ -LRB- 39713 3831 62 Sigma Sigma NNP 39713 3831 63 ] ] -RRB- 39713 3831 64 + + CC 39713 3831 65 _ _ NNP 39713 3831 66 S S NNP 39713 3831 67 ' ' '' 39713 3831 68 _ _ NNP 39713 3831 69 correspond correspond NN 39713 3831 70 to to IN 39713 3831 71 the the DT 39713 3831 72 same same JJ 39713 3831 73 point point NN 39713 3831 74 _ _ NNP 39713 3831 75 N N NNP 39713 3831 76 _ _ NNP 39713 3831 77 = = SYM 39713 3831 78 _ _ NNP 39713 3831 79 N N NNP 39713 3831 80 ' ' '' 39713 3831 81 _ _ NNP 39713 3831 82 of of IN 39713 3831 83 the the DT 39713 3831 84 second second JJ 39713 3831 85 space space NN 39713 3831 86 . . . 39713 3832 1 Q.E.D. Q.E.D. NNP 39713 3833 1 Our -PRON- PRP$ 39713 3833 2 two two CD 39713 3833 3 spaces space NNS 39713 3833 4 therefore therefore RB 39713 3833 5 correspond correspond VBP 39713 3833 6 point point NN 39713 3833 7 for for IN 39713 3833 8 point point NN 39713 3833 9 ; ; : 39713 3833 10 they -PRON- PRP 39713 3833 11 can can MD 39713 3833 12 be be VB 39713 3833 13 ' ' `` 39713 3833 14 transformed transform VBN 39713 3833 15 ' ' '' 39713 3833 16 one one CD 39713 3833 17 into into IN 39713 3833 18 the the DT 39713 3833 19 other other JJ 39713 3833 20 ; ; : 39713 3833 21 they -PRON- PRP 39713 3833 22 are be VBP 39713 3833 23 isomorphic isomorphic JJ 39713 3833 24 . . . 39713 3834 1 How how WRB 39713 3834 2 are be VBP 39713 3834 3 we -PRON- PRP 39713 3834 4 led lead VBN 39713 3834 5 to to TO 39713 3834 6 conclude conclude VB 39713 3834 7 thence thence NN 39713 3834 8 that that IN 39713 3834 9 they -PRON- PRP 39713 3834 10 are be VBP 39713 3834 11 identical identical JJ 39713 3834 12 ? ? . 39713 3835 1 Consider consider VB 39713 3835 2 the the DT 39713 3835 3 two two CD 39713 3835 4 series series NN 39713 3835 5 [ [ -LRB- 39713 3835 6 sigma sigma NNP 39713 3835 7 ] ] -RRB- 39713 3835 8 and and CC 39713 3835 9 _ _ NNP 39713 3835 10 S S NNP 39713 3835 11 _ _ NNP 39713 3835 12 + + CC 39713 3835 13 [ [ -LRB- 39713 3835 14 sigma sigma NNP 39713 3835 15 ] ] -RRB- 39713 3835 16 + + CC 39713 3835 17 _ _ NNP 39713 3835 18 S S NNP 39713 3835 19 ' ' '' 39713 3835 20 _ _ NN 39713 3835 21 = = NFP 39713 3835 22 [ [ -LRB- 39713 3835 23 sigma sigma NNP 39713 3835 24 ] ] -RRB- 39713 3835 25 ' ' '' 39713 3835 26 . . . 39713 3836 1 I -PRON- PRP 39713 3836 2 have have VBP 39713 3836 3 said say VBN 39713 3836 4 that that IN 39713 3836 5 often often RB 39713 3836 6 , , , 39713 3836 7 but but CC 39713 3836 8 not not RB 39713 3836 9 always always RB 39713 3836 10 , , , 39713 3836 11 the the DT 39713 3836 12 series series NN 39713 3836 13 [ [ -LRB- 39713 3836 14 sigma sigma NNP 39713 3836 15 ] ] -RRB- 39713 3836 16 preserves preserve VBZ 39713 3836 17 the the DT 39713 3836 18 tactile tactile NN 39713 3836 19 impression impression NN 39713 3836 20 _ _ NNP 39713 3836 21 A A NNP 39713 3836 22 _ _ NNP 39713 3836 23 felt feel VBD 39713 3836 24 by by IN 39713 3836 25 the the DT 39713 3836 26 finger finger NN 39713 3836 27 _ _ NNP 39713 3836 28 D D NNP 39713 3836 29 _ _ NNP 39713 3836 30 ; ; : 39713 3836 31 and and CC 39713 3836 32 similarly similarly RB 39713 3836 33 it -PRON- PRP 39713 3836 34 often often RB 39713 3836 35 happens happen VBZ 39713 3836 36 , , , 39713 3836 37 but but CC 39713 3836 38 not not RB 39713 3836 39 always always RB 39713 3836 40 , , , 39713 3836 41 that that IN 39713 3836 42 the the DT 39713 3836 43 series series NN 39713 3836 44 [ [ -LRB- 39713 3836 45 sigma sigma NNP 39713 3836 46 ] ] -RRB- 39713 3836 47 ' ' `` 39713 3836 48 preserves preserve VBZ 39713 3836 49 the the DT 39713 3836 50 tactile tactile NN 39713 3836 51 impression impression NN 39713 3836 52 _ _ NNP 39713 3836 53 A A NNP 39713 3836 54 ' ' '' 39713 3836 55 _ _ NNP 39713 3836 56 felt feel VBD 39713 3836 57 by by IN 39713 3836 58 the the DT 39713 3836 59 finger finger NN 39713 3836 60 _ _ NNP 39713 3836 61 D D NNP 39713 3836 62 ' ' '' 39713 3836 63 _ _ NNP 39713 3836 64 . . . 39713 3837 1 Now now RB 39713 3837 2 I -PRON- PRP 39713 3837 3 ascertain ascertain VBP 39713 3837 4 that that IN 39713 3837 5 it -PRON- PRP 39713 3837 6 happens happen VBZ 39713 3837 7 _ _ NNP 39713 3837 8 very very RB 39713 3837 9 often often RB 39713 3837 10 _ _ NNP 39713 3837 11 ( ( -LRB- 39713 3837 12 that that RB 39713 3837 13 is is RB 39713 3837 14 , , , 39713 3837 15 much much RB 39713 3837 16 more more RBR 39713 3837 17 often often RB 39713 3837 18 than than IN 39713 3837 19 what what WP 39713 3837 20 I -PRON- PRP 39713 3837 21 have have VBP 39713 3837 22 just just RB 39713 3837 23 called call VBN 39713 3837 24 ' ' `` 39713 3837 25 often often RB 39713 3837 26 ' ' '' 39713 3837 27 ) ) -RRB- 39713 3837 28 that that IN 39713 3837 29 when when WRB 39713 3837 30 the the DT 39713 3837 31 series series NN 39713 3837 32 [ [ -LRB- 39713 3837 33 sigma sigma NNP 39713 3837 34 ] ] -RRB- 39713 3837 35 has have VBZ 39713 3837 36 preserved preserve VBN 39713 3837 37 the the DT 39713 3837 38 impression impression NN 39713 3837 39 _ _ NNP 39713 3837 40 A A NNP 39713 3837 41 _ _ NNP 39713 3837 42 of of IN 39713 3837 43 the the DT 39713 3837 44 finger finger NN 39713 3837 45 _ _ NNP 39713 3837 46 D D NNP 39713 3837 47 _ _ NNP 39713 3837 48 , , , 39713 3837 49 the the DT 39713 3837 50 series series NN 39713 3837 51 [ [ -LRB- 39713 3837 52 sigma sigma NNP 39713 3837 53 ] ] -RRB- 39713 3837 54 ' ' POS 39713 3837 55 preserves preserve NNS 39713 3837 56 at at IN 39713 3837 57 the the DT 39713 3837 58 same same JJ 39713 3837 59 time time NN 39713 3837 60 the the DT 39713 3837 61 impression impression NN 39713 3837 62 _ _ NNP 39713 3837 63 A A NNP 39713 3837 64 ' ' '' 39713 3837 65 _ _ NNP 39713 3837 66 of of IN 39713 3837 67 the the DT 39713 3837 68 finger finger NN 39713 3837 69 _ _ NNP 39713 3837 70 D D NNP 39713 3837 71 ' ' '' 39713 3837 72 _ _ NN 39713 3837 73 ; ; : 39713 3837 74 and and CC 39713 3837 75 , , , 39713 3837 76 inversely inversely RB 39713 3837 77 , , , 39713 3837 78 that that IN 39713 3837 79 if if IN 39713 3837 80 the the DT 39713 3837 81 first first JJ 39713 3837 82 impression impression NN 39713 3837 83 is be VBZ 39713 3837 84 altered alter VBN 39713 3837 85 , , , 39713 3837 86 the the DT 39713 3837 87 second second JJ 39713 3837 88 is be VBZ 39713 3837 89 likewise likewise RB 39713 3837 90 . . . 39713 3838 1 That that DT 39713 3838 2 happens happen VBZ 39713 3838 3 _ _ NNP 39713 3838 4 very very RB 39713 3838 5 often often RB 39713 3838 6 _ _ NNP 39713 3838 7 , , , 39713 3838 8 but but CC 39713 3838 9 not not RB 39713 3838 10 always always RB 39713 3838 11 . . . 39713 3839 1 We -PRON- PRP 39713 3839 2 interpret interpret VBP 39713 3839 3 this this DT 39713 3839 4 experimental experimental JJ 39713 3839 5 fact fact NN 39713 3839 6 by by IN 39713 3839 7 saying say VBG 39713 3839 8 that that IN 39713 3839 9 the the DT 39713 3839 10 unknown unknown JJ 39713 3839 11 object object NN 39713 3839 12 _ _ NNP 39713 3839 13 a a DT 39713 3839 14 _ _ NN 39713 3839 15 which which WDT 39713 3839 16 gives give VBZ 39713 3839 17 the the DT 39713 3839 18 impression impression NN 39713 3839 19 _ _ NNP 39713 3839 20 A A NNP 39713 3839 21 _ _ NNP 39713 3839 22 to to IN 39713 3839 23 the the DT 39713 3839 24 finger finger NN 39713 3839 25 _ _ NNP 39713 3839 26 D D NNP 39713 3839 27 _ _ NNP 39713 3839 28 is be VBZ 39713 3839 29 identical identical JJ 39713 3839 30 with with IN 39713 3839 31 the the DT 39713 3839 32 unknown unknown JJ 39713 3839 33 object object NN 39713 3839 34 _ _ NNP 39713 3839 35 a a DT 39713 3839 36 ' ' '' 39713 3839 37 _ _ NN 39713 3839 38 which which WDT 39713 3839 39 gives give VBZ 39713 3839 40 the the DT 39713 3839 41 impression impression NN 39713 3839 42 _ _ NNP 39713 3839 43 A A NNP 39713 3839 44 ' ' '' 39713 3839 45 _ _ NNP 39713 3839 46 to to IN 39713 3839 47 the the DT 39713 3839 48 finger finger NN 39713 3839 49 _ _ NNP 39713 3839 50 D D NNP 39713 3839 51 ' ' '' 39713 3839 52 _ _ NNP 39713 3839 53 . . . 39713 3840 1 And and CC 39713 3840 2 in in IN 39713 3840 3 fact fact NN 39713 3840 4 when when WRB 39713 3840 5 the the DT 39713 3840 6 first first JJ 39713 3840 7 object object NN 39713 3840 8 moves move NNS 39713 3840 9 , , , 39713 3840 10 which which WDT 39713 3840 11 the the DT 39713 3840 12 disappearance disappearance NN 39713 3840 13 of of IN 39713 3840 14 the the DT 39713 3840 15 impression impression NN 39713 3840 16 _ _ NNP 39713 3840 17 A A NNP 39713 3840 18 _ _ NNP 39713 3840 19 tells tell VBZ 39713 3840 20 us -PRON- PRP 39713 3840 21 , , , 39713 3840 22 the the DT 39713 3840 23 second second JJ 39713 3840 24 likewise likewise JJ 39713 3840 25 moves move NNS 39713 3840 26 , , , 39713 3840 27 since since IN 39713 3840 28 the the DT 39713 3840 29 impression impression NN 39713 3840 30 _ _ NNP 39713 3840 31 A A NNP 39713 3840 32 ' ' '' 39713 3840 33 _ _ NNP 39713 3840 34 disappears disappear VBZ 39713 3840 35 likewise likewise RB 39713 3840 36 . . . 39713 3841 1 When when WRB 39713 3841 2 the the DT 39713 3841 3 first first JJ 39713 3841 4 object object NN 39713 3841 5 remains remain VBZ 39713 3841 6 motionless motionless JJ 39713 3841 7 , , , 39713 3841 8 the the DT 39713 3841 9 second second JJ 39713 3841 10 remains remain VBZ 39713 3841 11 motionless motionless JJ 39713 3841 12 . . . 39713 3842 1 If if IN 39713 3842 2 these these DT 39713 3842 3 two two CD 39713 3842 4 objects object NNS 39713 3842 5 are be VBP 39713 3842 6 identical identical JJ 39713 3842 7 , , , 39713 3842 8 as as IN 39713 3842 9 the the DT 39713 3842 10 first first JJ 39713 3842 11 is be VBZ 39713 3842 12 at at IN 39713 3842 13 the the DT 39713 3842 14 point point NN 39713 3842 15 _ _ NNP 39713 3842 16 M M NNP 39713 3842 17 _ _ NNP 39713 3842 18 of of IN 39713 3842 19 the the DT 39713 3842 20 first first JJ 39713 3842 21 space space NN 39713 3842 22 and and CC 39713 3842 23 the the DT 39713 3842 24 second second JJ 39713 3842 25 at at IN 39713 3842 26 the the DT 39713 3842 27 point point NN 39713 3842 28 _ _ NNP 39713 3842 29 N N NNP 39713 3842 30 _ _ NNP 39713 3842 31 of of IN 39713 3842 32 the the DT 39713 3842 33 second second JJ 39713 3842 34 space space NN 39713 3842 35 , , , 39713 3842 36 these these DT 39713 3842 37 two two CD 39713 3842 38 points point NNS 39713 3842 39 are be VBP 39713 3842 40 identical identical JJ 39713 3842 41 . . . 39713 3843 1 This this DT 39713 3843 2 is be VBZ 39713 3843 3 how how WRB 39713 3843 4 we -PRON- PRP 39713 3843 5 are be VBP 39713 3843 6 led lead VBN 39713 3843 7 to to TO 39713 3843 8 regard regard VB 39713 3843 9 these these DT 39713 3843 10 two two CD 39713 3843 11 spaces space NNS 39713 3843 12 as as IN 39713 3843 13 identical identical JJ 39713 3843 14 ; ; : 39713 3843 15 or or CC 39713 3843 16 better well JJR 39713 3843 17 , , , 39713 3843 18 this this DT 39713 3843 19 is be VBZ 39713 3843 20 what what WP 39713 3843 21 we -PRON- PRP 39713 3843 22 mean mean VBP 39713 3843 23 when when WRB 39713 3843 24 we -PRON- PRP 39713 3843 25 say say VBP 39713 3843 26 that that IN 39713 3843 27 they -PRON- PRP 39713 3843 28 are be VBP 39713 3843 29 identical identical JJ 39713 3843 30 . . . 39713 3844 1 What what WP 39713 3844 2 we -PRON- PRP 39713 3844 3 have have VBP 39713 3844 4 just just RB 39713 3844 5 said say VBN 39713 3844 6 of of IN 39713 3844 7 the the DT 39713 3844 8 identity identity NN 39713 3844 9 of of IN 39713 3844 10 the the DT 39713 3844 11 two two CD 39713 3844 12 tactile tactile NN 39713 3844 13 spaces space NNS 39713 3844 14 makes make VBZ 39713 3844 15 unnecessary unnecessary JJ 39713 3844 16 our -PRON- PRP$ 39713 3844 17 discussing discuss VBG 39713 3844 18 the the DT 39713 3844 19 question question NN 39713 3844 20 of of IN 39713 3844 21 the the DT 39713 3844 22 identity identity NN 39713 3844 23 of of IN 39713 3844 24 tactile tactile NN 39713 3844 25 space space NN 39713 3844 26 and and CC 39713 3844 27 visual visual JJ 39713 3844 28 space space NN 39713 3844 29 , , , 39713 3844 30 which which WDT 39713 3844 31 could could MD 39713 3844 32 be be VB 39713 3844 33 treated treat VBN 39713 3844 34 in in IN 39713 3844 35 the the DT 39713 3844 36 same same JJ 39713 3844 37 way way NN 39713 3844 38 . . . 39713 3845 1 5 5 CD 39713 3845 2 . . . 39713 3846 1 _ _ NNP 39713 3846 2 Space Space NNP 39713 3846 3 and and CC 39713 3846 4 Empiricism Empiricism NNP 39713 3846 5 _ _ NNP 39713 3846 6 It -PRON- PRP 39713 3846 7 seems seem VBZ 39713 3846 8 that that IN 39713 3846 9 I -PRON- PRP 39713 3846 10 am be VBP 39713 3846 11 about about JJ 39713 3846 12 to to TO 39713 3846 13 be be VB 39713 3846 14 led lead VBN 39713 3846 15 to to IN 39713 3846 16 conclusions conclusion NNS 39713 3846 17 in in IN 39713 3846 18 conformity conformity NN 39713 3846 19 with with IN 39713 3846 20 empiristic empiristic JJ 39713 3846 21 ideas idea NNS 39713 3846 22 . . . 39713 3847 1 I -PRON- PRP 39713 3847 2 have have VBP 39713 3847 3 , , , 39713 3847 4 in in IN 39713 3847 5 fact fact NN 39713 3847 6 , , , 39713 3847 7 sought seek VBD 39713 3847 8 to to TO 39713 3847 9 put put VB 39713 3847 10 in in IN 39713 3847 11 evidence evidence NN 39713 3847 12 the the DT 39713 3847 13 rôle rôle NN 39713 3847 14 of of IN 39713 3847 15 experience experience NN 39713 3847 16 and and CC 39713 3847 17 to to TO 39713 3847 18 analyze analyze VB 39713 3847 19 the the DT 39713 3847 20 experimental experimental JJ 39713 3847 21 facts fact NNS 39713 3847 22 which which WDT 39713 3847 23 intervene intervene VBP 39713 3847 24 in in IN 39713 3847 25 the the DT 39713 3847 26 genesis genesis NN 39713 3847 27 of of IN 39713 3847 28 space space NN 39713 3847 29 of of IN 39713 3847 30 three three CD 39713 3847 31 dimensions dimension NNS 39713 3847 32 . . . 39713 3848 1 But but CC 39713 3848 2 whatever whatever WDT 39713 3848 3 may may MD 39713 3848 4 be be VB 39713 3848 5 the the DT 39713 3848 6 importance importance NN 39713 3848 7 of of IN 39713 3848 8 these these DT 39713 3848 9 facts fact NNS 39713 3848 10 , , , 39713 3848 11 there there EX 39713 3848 12 is be VBZ 39713 3848 13 one one CD 39713 3848 14 thing thing NN 39713 3848 15 we -PRON- PRP 39713 3848 16 must must MD 39713 3848 17 not not RB 39713 3848 18 forget forget VB 39713 3848 19 and and CC 39713 3848 20 to to TO 39713 3848 21 which which WDT 39713 3848 22 besides besides IN 39713 3848 23 I -PRON- PRP 39713 3848 24 have have VBP 39713 3848 25 more more JJR 39713 3848 26 than than IN 39713 3848 27 once once RB 39713 3848 28 called call VBN 39713 3848 29 attention attention NN 39713 3848 30 . . . 39713 3849 1 These these DT 39713 3849 2 experimental experimental JJ 39713 3849 3 facts fact NNS 39713 3849 4 are be VBP 39713 3849 5 often often RB 39713 3849 6 verified verify VBN 39713 3849 7 but but CC 39713 3849 8 not not RB 39713 3849 9 always always RB 39713 3849 10 . . . 39713 3850 1 That that DT 39713 3850 2 evidently evidently RB 39713 3850 3 does do VBZ 39713 3850 4 not not RB 39713 3850 5 mean mean VB 39713 3850 6 that that DT 39713 3850 7 space space NN 39713 3850 8 has have VBZ 39713 3850 9 often often RB 39713 3850 10 three three CD 39713 3850 11 dimensions dimension NNS 39713 3850 12 , , , 39713 3850 13 but but CC 39713 3850 14 not not RB 39713 3850 15 always always RB 39713 3850 16 . . . 39713 3851 1 I -PRON- PRP 39713 3851 2 know know VBP 39713 3851 3 well well RB 39713 3851 4 that that IN 39713 3851 5 it -PRON- PRP 39713 3851 6 is be VBZ 39713 3851 7 easy easy JJ 39713 3851 8 to to TO 39713 3851 9 save save VB 39713 3851 10 oneself oneself PRP 39713 3851 11 and and CC 39713 3851 12 that that IN 39713 3851 13 , , , 39713 3851 14 if if IN 39713 3851 15 the the DT 39713 3851 16 facts fact NNS 39713 3851 17 do do VBP 39713 3851 18 not not RB 39713 3851 19 verify verify VB 39713 3851 20 , , , 39713 3851 21 it -PRON- PRP 39713 3851 22 will will MD 39713 3851 23 be be VB 39713 3851 24 easily easily RB 39713 3851 25 explained explain VBN 39713 3851 26 by by IN 39713 3851 27 saying say VBG 39713 3851 28 that that IN 39713 3851 29 the the DT 39713 3851 30 exterior exterior NNP 39713 3851 31 objects object NNS 39713 3851 32 have have VBP 39713 3851 33 moved move VBN 39713 3851 34 . . . 39713 3852 1 If if IN 39713 3852 2 experience experience NN 39713 3852 3 succeeds succeed VBZ 39713 3852 4 , , , 39713 3852 5 we -PRON- PRP 39713 3852 6 say say VBP 39713 3852 7 that that IN 39713 3852 8 it -PRON- PRP 39713 3852 9 teaches teach VBZ 39713 3852 10 us -PRON- PRP 39713 3852 11 about about IN 39713 3852 12 space space NN 39713 3852 13 ; ; : 39713 3852 14 if if IN 39713 3852 15 it -PRON- PRP 39713 3852 16 does do VBZ 39713 3852 17 not not RB 39713 3852 18 succeed succeed VB 39713 3852 19 , , , 39713 3852 20 we -PRON- PRP 39713 3852 21 hie hie VBP 39713 3852 22 to to IN 39713 3852 23 exterior exterior NNP 39713 3852 24 objects object NNS 39713 3852 25 which which WDT 39713 3852 26 we -PRON- PRP 39713 3852 27 accuse accuse VBP 39713 3852 28 of of IN 39713 3852 29 having have VBG 39713 3852 30 moved move VBN 39713 3852 31 ; ; : 39713 3852 32 in in IN 39713 3852 33 other other JJ 39713 3852 34 words word NNS 39713 3852 35 , , , 39713 3852 36 if if IN 39713 3852 37 it -PRON- PRP 39713 3852 38 does do VBZ 39713 3852 39 not not RB 39713 3852 40 succeed succeed VB 39713 3852 41 , , , 39713 3852 42 it -PRON- PRP 39713 3852 43 is be VBZ 39713 3852 44 given give VBN 39713 3852 45 a a DT 39713 3852 46 fillip fillip NN 39713 3852 47 . . . 39713 3853 1 These these DT 39713 3853 2 fillips fillip NNS 39713 3853 3 are be VBP 39713 3853 4 legitimate legitimate JJ 39713 3853 5 ; ; : 39713 3853 6 I -PRON- PRP 39713 3853 7 do do VBP 39713 3853 8 not not RB 39713 3853 9 refuse refuse VB 39713 3853 10 to to TO 39713 3853 11 admit admit VB 39713 3853 12 them -PRON- PRP 39713 3853 13 ; ; : 39713 3853 14 but but CC 39713 3853 15 they -PRON- PRP 39713 3853 16 suffice suffice VBP 39713 3853 17 to to TO 39713 3853 18 tell tell VB 39713 3853 19 us -PRON- PRP 39713 3853 20 that that IN 39713 3853 21 the the DT 39713 3853 22 properties property NNS 39713 3853 23 of of IN 39713 3853 24 space space NN 39713 3853 25 are be VBP 39713 3853 26 not not RB 39713 3853 27 experimental experimental JJ 39713 3853 28 truths truth NNS 39713 3853 29 , , , 39713 3853 30 properly properly RB 39713 3853 31 so so RB 39713 3853 32 called call VBN 39713 3853 33 . . . 39713 3854 1 If if IN 39713 3854 2 we -PRON- PRP 39713 3854 3 had have VBD 39713 3854 4 wished wish VBN 39713 3854 5 to to TO 39713 3854 6 verify verify VB 39713 3854 7 other other JJ 39713 3854 8 laws law NNS 39713 3854 9 , , , 39713 3854 10 we -PRON- PRP 39713 3854 11 could could MD 39713 3854 12 have have VB 39713 3854 13 succeeded succeed VBN 39713 3854 14 also also RB 39713 3854 15 , , , 39713 3854 16 by by IN 39713 3854 17 giving give VBG 39713 3854 18 other other JJ 39713 3854 19 analogous analogous JJ 39713 3854 20 fillips fillip NNS 39713 3854 21 . . . 39713 3855 1 Should Should MD 39713 3855 2 we -PRON- PRP 39713 3855 3 not not RB 39713 3855 4 always always RB 39713 3855 5 have have VBP 39713 3855 6 been be VBN 39713 3855 7 able able JJ 39713 3855 8 to to TO 39713 3855 9 justify justify VB 39713 3855 10 these these DT 39713 3855 11 fillips fillip NNS 39713 3855 12 by by IN 39713 3855 13 the the DT 39713 3855 14 same same JJ 39713 3855 15 reasons reason NNS 39713 3855 16 ? ? . 39713 3856 1 One one CD 39713 3856 2 could could MD 39713 3856 3 at at IN 39713 3856 4 most most JJS 39713 3856 5 have have VBP 39713 3856 6 said say VBN 39713 3856 7 to to IN 39713 3856 8 us -PRON- PRP 39713 3856 9 : : : 39713 3856 10 ' ' '' 39713 3856 11 Your -PRON- PRP$ 39713 3856 12 fillips fillip NNS 39713 3856 13 are be VBP 39713 3856 14 doubtless doubtless RB 39713 3856 15 legitimate legitimate JJ 39713 3856 16 , , , 39713 3856 17 but but CC 39713 3856 18 you -PRON- PRP 39713 3856 19 abuse abuse VB 39713 3856 20 them -PRON- PRP 39713 3856 21 ; ; : 39713 3856 22 why why WRB 39713 3856 23 move move VB 39713 3856 24 the the DT 39713 3856 25 exterior exterior NN 39713 3856 26 objects object NNS 39713 3856 27 so so RB 39713 3856 28 often often RB 39713 3856 29 ? ? . 39713 3856 30 ' ' '' 39713 3857 1 To to TO 39713 3857 2 sum sum VB 39713 3857 3 up up RP 39713 3857 4 , , , 39713 3857 5 experience experience NN 39713 3857 6 does do VBZ 39713 3857 7 not not RB 39713 3857 8 prove prove VB 39713 3857 9 to to IN 39713 3857 10 us -PRON- PRP 39713 3857 11 that that DT 39713 3857 12 space space NN 39713 3857 13 has have VBZ 39713 3857 14 three three CD 39713 3857 15 dimensions dimension NNS 39713 3857 16 ; ; : 39713 3857 17 it -PRON- PRP 39713 3857 18 only only RB 39713 3857 19 proves prove VBZ 39713 3857 20 to to IN 39713 3857 21 us -PRON- PRP 39713 3857 22 that that IN 39713 3857 23 it -PRON- PRP 39713 3857 24 is be VBZ 39713 3857 25 convenient convenient JJ 39713 3857 26 to to TO 39713 3857 27 attribute attribute VB 39713 3857 28 three three CD 39713 3857 29 to to IN 39713 3857 30 it -PRON- PRP 39713 3857 31 , , , 39713 3857 32 because because IN 39713 3857 33 thus thus RB 39713 3857 34 the the DT 39713 3857 35 number number NN 39713 3857 36 of of IN 39713 3857 37 fillips fillip NNS 39713 3857 38 is be VBZ 39713 3857 39 reduced reduce VBN 39713 3857 40 to to IN 39713 3857 41 a a DT 39713 3857 42 minimum minimum NN 39713 3857 43 . . . 39713 3858 1 I -PRON- PRP 39713 3858 2 will will MD 39713 3858 3 add add VB 39713 3858 4 that that DT 39713 3858 5 experience experience NN 39713 3858 6 brings bring VBZ 39713 3858 7 us -PRON- PRP 39713 3858 8 into into IN 39713 3858 9 contact contact NN 39713 3858 10 only only RB 39713 3858 11 with with IN 39713 3858 12 representative representative JJ 39713 3858 13 space space NN 39713 3858 14 , , , 39713 3858 15 which which WDT 39713 3858 16 is be VBZ 39713 3858 17 a a DT 39713 3858 18 physical physical JJ 39713 3858 19 continuum continuum NN 39713 3858 20 , , , 39713 3858 21 never never RB 39713 3858 22 with with IN 39713 3858 23 geometric geometric JJ 39713 3858 24 space space NN 39713 3858 25 , , , 39713 3858 26 which which WDT 39713 3858 27 is be VBZ 39713 3858 28 a a DT 39713 3858 29 mathematical mathematical JJ 39713 3858 30 continuum continuum NN 39713 3858 31 . . . 39713 3859 1 At at IN 39713 3859 2 the the DT 39713 3859 3 very very RB 39713 3859 4 most most JJS 39713 3859 5 it -PRON- PRP 39713 3859 6 would would MD 39713 3859 7 appear appear VB 39713 3859 8 to to TO 39713 3859 9 tell tell VB 39713 3859 10 us -PRON- PRP 39713 3859 11 that that IN 39713 3859 12 it -PRON- PRP 39713 3859 13 is be VBZ 39713 3859 14 convenient convenient JJ 39713 3859 15 to to TO 39713 3859 16 give give VB 39713 3859 17 to to IN 39713 3859 18 geometric geometric JJ 39713 3859 19 space space NN 39713 3859 20 three three CD 39713 3859 21 dimensions dimension NNS 39713 3859 22 , , , 39713 3859 23 so so IN 39713 3859 24 that that IN 39713 3859 25 it -PRON- PRP 39713 3859 26 may may MD 39713 3859 27 have have VB 39713 3859 28 as as RB 39713 3859 29 many many JJ 39713 3859 30 as as IN 39713 3859 31 representative representative JJ 39713 3859 32 space space NN 39713 3859 33 . . . 39713 3860 1 The the DT 39713 3860 2 empiric empiric NN 39713 3860 3 question question NN 39713 3860 4 may may MD 39713 3860 5 be be VB 39713 3860 6 put put VBN 39713 3860 7 under under IN 39713 3860 8 another another DT 39713 3860 9 form form NN 39713 3860 10 . . . 39713 3861 1 Is be VBZ 39713 3861 2 it -PRON- PRP 39713 3861 3 impossible impossible JJ 39713 3861 4 to to TO 39713 3861 5 conceive conceive VB 39713 3861 6 physical physical JJ 39713 3861 7 phenomena phenomenon NNS 39713 3861 8 , , , 39713 3861 9 the the DT 39713 3861 10 mechanical mechanical JJ 39713 3861 11 phenomena phenomena NN 39713 3861 12 , , , 39713 3861 13 for for IN 39713 3861 14 example example NN 39713 3861 15 , , , 39713 3861 16 otherwise otherwise RB 39713 3861 17 than than IN 39713 3861 18 in in IN 39713 3861 19 space space NN 39713 3861 20 of of IN 39713 3861 21 three three CD 39713 3861 22 dimensions dimension NNS 39713 3861 23 ? ? . 39713 3862 1 We -PRON- PRP 39713 3862 2 should should MD 39713 3862 3 thus thus RB 39713 3862 4 have have VB 39713 3862 5 an an DT 39713 3862 6 objective objective JJ 39713 3862 7 experimental experimental JJ 39713 3862 8 proof proof NN 39713 3862 9 , , , 39713 3862 10 so so RB 39713 3862 11 to to TO 39713 3862 12 speak speak VB 39713 3862 13 , , , 39713 3862 14 independent independent JJ 39713 3862 15 of of IN 39713 3862 16 our -PRON- PRP$ 39713 3862 17 physiology physiology NN 39713 3862 18 , , , 39713 3862 19 of of IN 39713 3862 20 our -PRON- PRP$ 39713 3862 21 modes mode NNS 39713 3862 22 of of IN 39713 3862 23 representation representation NN 39713 3862 24 . . . 39713 3863 1 But but CC 39713 3863 2 it -PRON- PRP 39713 3863 3 is be VBZ 39713 3863 4 not not RB 39713 3863 5 so so RB 39713 3863 6 ; ; : 39713 3863 7 I -PRON- PRP 39713 3863 8 shall shall MD 39713 3863 9 not not RB 39713 3863 10 here here RB 39713 3863 11 discuss discuss VB 39713 3863 12 the the DT 39713 3863 13 question question NN 39713 3863 14 completely completely RB 39713 3863 15 , , , 39713 3863 16 I -PRON- PRP 39713 3863 17 shall shall MD 39713 3863 18 confine confine VB 39713 3863 19 myself -PRON- PRP 39713 3863 20 to to IN 39713 3863 21 recalling recall VBG 39713 3863 22 the the DT 39713 3863 23 striking striking JJ 39713 3863 24 example example NN 39713 3863 25 given give VBN 39713 3863 26 us -PRON- PRP 39713 3863 27 by by IN 39713 3863 28 the the DT 39713 3863 29 mechanics mechanic NNS 39713 3863 30 of of IN 39713 3863 31 Hertz Hertz NNP 39713 3863 32 . . . 39713 3864 1 You -PRON- PRP 39713 3864 2 know know VBP 39713 3864 3 that that IN 39713 3864 4 the the DT 39713 3864 5 great great JJ 39713 3864 6 physicist physicist NN 39713 3864 7 did do VBD 39713 3864 8 not not RB 39713 3864 9 believe believe VB 39713 3864 10 in in IN 39713 3864 11 the the DT 39713 3864 12 existence existence NN 39713 3864 13 of of IN 39713 3864 14 forces force NNS 39713 3864 15 , , , 39713 3864 16 properly properly RB 39713 3864 17 so so RB 39713 3864 18 called call VBD 39713 3864 19 ; ; : 39713 3864 20 he -PRON- PRP 39713 3864 21 supposed suppose VBD 39713 3864 22 that that IN 39713 3864 23 visible visible JJ 39713 3864 24 material material NN 39713 3864 25 points point NNS 39713 3864 26 are be VBP 39713 3864 27 subjected subject VBN 39713 3864 28 to to IN 39713 3864 29 certain certain JJ 39713 3864 30 invisible invisible JJ 39713 3864 31 bonds bond NNS 39713 3864 32 which which WDT 39713 3864 33 join join VBP 39713 3864 34 them -PRON- PRP 39713 3864 35 to to IN 39713 3864 36 other other JJ 39713 3864 37 invisible invisible JJ 39713 3864 38 points point NNS 39713 3864 39 and and CC 39713 3864 40 that that IN 39713 3864 41 it -PRON- PRP 39713 3864 42 is be VBZ 39713 3864 43 the the DT 39713 3864 44 effect effect NN 39713 3864 45 of of IN 39713 3864 46 these these DT 39713 3864 47 invisible invisible JJ 39713 3864 48 bonds bond NNS 39713 3864 49 that that WDT 39713 3864 50 we -PRON- PRP 39713 3864 51 attribute attribute VBP 39713 3864 52 to to IN 39713 3864 53 forces force NNS 39713 3864 54 . . . 39713 3865 1 But but CC 39713 3865 2 that that DT 39713 3865 3 is be VBZ 39713 3865 4 only only RB 39713 3865 5 a a DT 39713 3865 6 part part NN 39713 3865 7 of of IN 39713 3865 8 his -PRON- PRP$ 39713 3865 9 ideas idea NNS 39713 3865 10 . . . 39713 3866 1 Suppose suppose VB 39713 3866 2 a a DT 39713 3866 3 system system NN 39713 3866 4 formed form VBN 39713 3866 5 of of IN 39713 3866 6 n n JJ 39713 3866 7 material material NN 39713 3866 8 points point NNS 39713 3866 9 , , , 39713 3866 10 visible visible JJ 39713 3866 11 or or CC 39713 3866 12 not not RB 39713 3866 13 ; ; : 39713 3866 14 that that WDT 39713 3866 15 will will MD 39713 3866 16 give give VB 39713 3866 17 in in IN 39713 3866 18 all all DT 39713 3866 19 3_n 3_n CD 39713 3866 20 _ _ NNP 39713 3866 21 coordinates coordinate NNS 39713 3866 22 ; ; : 39713 3866 23 let let VB 39713 3866 24 us -PRON- PRP 39713 3866 25 regard regard VB 39713 3866 26 them -PRON- PRP 39713 3866 27 as as IN 39713 3866 28 the the DT 39713 3866 29 coordinates coordinate NNS 39713 3866 30 of of IN 39713 3866 31 a a DT 39713 3866 32 _ _ NNP 39713 3866 33 single single JJ 39713 3866 34 _ _ NNP 39713 3866 35 point point NN 39713 3866 36 in in IN 39713 3866 37 space space NN 39713 3866 38 of of IN 39713 3866 39 3_n 3_n CD 39713 3866 40 _ _ NNP 39713 3866 41 dimensions dimension NNS 39713 3866 42 . . . 39713 3867 1 This this DT 39713 3867 2 single single JJ 39713 3867 3 point point NN 39713 3867 4 would would MD 39713 3867 5 be be VB 39713 3867 6 constrained constrain VBN 39713 3867 7 to to TO 39713 3867 8 remain remain VB 39713 3867 9 upon upon IN 39713 3867 10 a a DT 39713 3867 11 surface surface NN 39713 3867 12 ( ( -LRB- 39713 3867 13 of of IN 39713 3867 14 any any DT 39713 3867 15 number number NN 39713 3867 16 of of IN 39713 3867 17 dimensions dimension NNS 39713 3867 18 < < XX 39713 3867 19 3_n 3_n XX 39713 3867 20 _ _ NNP 39713 3867 21 ) ) -RRB- 39713 3867 22 in in IN 39713 3867 23 virtue virtue NN 39713 3867 24 of of IN 39713 3867 25 the the DT 39713 3867 26 bonds bond NNS 39713 3867 27 of of IN 39713 3867 28 which which WDT 39713 3867 29 we -PRON- PRP 39713 3867 30 have have VBP 39713 3867 31 just just RB 39713 3867 32 spoken speak VBN 39713 3867 33 ; ; : 39713 3867 34 to to TO 39713 3867 35 go go VB 39713 3867 36 on on IN 39713 3867 37 this this DT 39713 3867 38 surface surface NN 39713 3867 39 from from IN 39713 3867 40 one one CD 39713 3867 41 point point NN 39713 3867 42 to to IN 39713 3867 43 another another DT 39713 3867 44 , , , 39713 3867 45 it -PRON- PRP 39713 3867 46 would would MD 39713 3867 47 always always RB 39713 3867 48 take take VB 39713 3867 49 the the DT 39713 3867 50 shortest short JJS 39713 3867 51 way way NN 39713 3867 52 ; ; : 39713 3867 53 this this DT 39713 3867 54 would would MD 39713 3867 55 be be VB 39713 3867 56 the the DT 39713 3867 57 single single JJ 39713 3867 58 principle principle NN 39713 3867 59 which which WDT 39713 3867 60 would would MD 39713 3867 61 sum sum VB 39713 3867 62 up up RP 39713 3867 63 all all DT 39713 3867 64 mechanics mechanic NNS 39713 3867 65 . . . 39713 3868 1 Whatever whatever WDT 39713 3868 2 should should MD 39713 3868 3 be be VB 39713 3868 4 thought think VBN 39713 3868 5 of of IN 39713 3868 6 this this DT 39713 3868 7 hypothesis hypothesis NN 39713 3868 8 , , , 39713 3868 9 whether whether IN 39713 3868 10 we -PRON- PRP 39713 3868 11 be be VBP 39713 3868 12 allured allure VBN 39713 3868 13 by by IN 39713 3868 14 its -PRON- PRP$ 39713 3868 15 simplicity simplicity NN 39713 3868 16 , , , 39713 3868 17 or or CC 39713 3868 18 repelled repel VBN 39713 3868 19 by by IN 39713 3868 20 its -PRON- PRP$ 39713 3868 21 artificial artificial JJ 39713 3868 22 character character NN 39713 3868 23 , , , 39713 3868 24 the the DT 39713 3868 25 simple simple JJ 39713 3868 26 fact fact NN 39713 3868 27 that that IN 39713 3868 28 Hertz Hertz NNP 39713 3868 29 was be VBD 39713 3868 30 able able JJ 39713 3868 31 to to TO 39713 3868 32 conceive conceive VB 39713 3868 33 it -PRON- PRP 39713 3868 34 , , , 39713 3868 35 and and CC 39713 3868 36 to to TO 39713 3868 37 regard regard VB 39713 3868 38 it -PRON- PRP 39713 3868 39 as as IN 39713 3868 40 more more RBR 39713 3868 41 convenient convenient JJ 39713 3868 42 than than IN 39713 3868 43 our -PRON- PRP$ 39713 3868 44 habitual habitual JJ 39713 3868 45 hypotheses hypothesis NNS 39713 3868 46 , , , 39713 3868 47 suffices suffice VBZ 39713 3868 48 to to TO 39713 3868 49 prove prove VB 39713 3868 50 that that IN 39713 3868 51 our -PRON- PRP$ 39713 3868 52 ordinary ordinary JJ 39713 3868 53 ideas idea NNS 39713 3868 54 , , , 39713 3868 55 and and CC 39713 3868 56 , , , 39713 3868 57 in in IN 39713 3868 58 particular particular JJ 39713 3868 59 , , , 39713 3868 60 the the DT 39713 3868 61 three three CD 39713 3868 62 dimensions dimension NNS 39713 3868 63 of of IN 39713 3868 64 space space NN 39713 3868 65 , , , 39713 3868 66 are be VBP 39713 3868 67 in in IN 39713 3868 68 no no DT 39713 3868 69 wise wise JJ 39713 3868 70 imposed impose VBN 39713 3868 71 upon upon IN 39713 3868 72 mechanics mechanic NNS 39713 3868 73 with with IN 39713 3868 74 an an DT 39713 3868 75 invincible invincible JJ 39713 3868 76 force force NN 39713 3868 77 . . . 39713 3869 1 6 6 CD 39713 3869 2 . . . 39713 3870 1 _ _ NNP 39713 3870 2 Mind Mind NNP 39713 3870 3 and and CC 39713 3870 4 Space Space NNP 39713 3870 5 _ _ NNP 39713 3870 6 Experience Experience NNP 39713 3870 7 , , , 39713 3870 8 therefore therefore RB 39713 3870 9 , , , 39713 3870 10 has have VBZ 39713 3870 11 played play VBN 39713 3870 12 only only RB 39713 3870 13 a a DT 39713 3870 14 single single JJ 39713 3870 15 rôle rôle NN 39713 3870 16 , , , 39713 3870 17 it -PRON- PRP 39713 3870 18 has have VBZ 39713 3870 19 served serve VBN 39713 3870 20 as as IN 39713 3870 21 occasion occasion NN 39713 3870 22 . . . 39713 3871 1 But but CC 39713 3871 2 this this DT 39713 3871 3 rôle rôle NN 39713 3871 4 was be VBD 39713 3871 5 none none NN 39713 3871 6 the the DT 39713 3871 7 less less RBR 39713 3871 8 very very RB 39713 3871 9 important important JJ 39713 3871 10 ; ; : 39713 3871 11 and and CC 39713 3871 12 I -PRON- PRP 39713 3871 13 have have VBP 39713 3871 14 thought think VBN 39713 3871 15 it -PRON- PRP 39713 3871 16 necessary necessary JJ 39713 3871 17 to to TO 39713 3871 18 give give VB 39713 3871 19 it -PRON- PRP 39713 3871 20 prominence prominence NN 39713 3871 21 . . . 39713 3872 1 This this DT 39713 3872 2 rôle rôle NN 39713 3872 3 would would MD 39713 3872 4 have have VB 39713 3872 5 been be VBN 39713 3872 6 useless useless JJ 39713 3872 7 if if IN 39713 3872 8 there there EX 39713 3872 9 existed exist VBD 39713 3872 10 an an DT 39713 3872 11 _ _ NNP 39713 3872 12 a a DT 39713 3872 13 priori priori FW 39713 3872 14 _ _ NNP 39713 3872 15 form form NN 39713 3872 16 imposing impose VBG 39713 3872 17 itself -PRON- PRP 39713 3872 18 upon upon IN 39713 3872 19 our -PRON- PRP$ 39713 3872 20 sensitivity sensitivity NN 39713 3872 21 , , , 39713 3872 22 and and CC 39713 3872 23 which which WDT 39713 3872 24 was be VBD 39713 3872 25 space space NN 39713 3872 26 of of IN 39713 3872 27 three three CD 39713 3872 28 dimensions dimension NNS 39713 3872 29 . . . 39713 3873 1 Does do VBZ 39713 3873 2 this this DT 39713 3873 3 form form NN 39713 3873 4 exist exist VB 39713 3873 5 , , , 39713 3873 6 or or CC 39713 3873 7 , , , 39713 3873 8 if if IN 39713 3873 9 you -PRON- PRP 39713 3873 10 choose choose VBP 39713 3873 11 , , , 39713 3873 12 can can MD 39713 3873 13 we -PRON- PRP 39713 3873 14 represent represent VB 39713 3873 15 to to IN 39713 3873 16 ourselves -PRON- PRP 39713 3873 17 space space NN 39713 3873 18 of of IN 39713 3873 19 more more JJR 39713 3873 20 than than IN 39713 3873 21 three three CD 39713 3873 22 dimensions dimension NNS 39713 3873 23 ? ? . 39713 3874 1 And and CC 39713 3874 2 first first RB 39713 3874 3 what what WP 39713 3874 4 does do VBZ 39713 3874 5 this this DT 39713 3874 6 question question NN 39713 3874 7 mean mean VB 39713 3874 8 ? ? . 39713 3875 1 In in IN 39713 3875 2 the the DT 39713 3875 3 true true JJ 39713 3875 4 sense sense NN 39713 3875 5 of of IN 39713 3875 6 the the DT 39713 3875 7 word word NN 39713 3875 8 , , , 39713 3875 9 it -PRON- PRP 39713 3875 10 is be VBZ 39713 3875 11 clear clear JJ 39713 3875 12 that that IN 39713 3875 13 we -PRON- PRP 39713 3875 14 can can MD 39713 3875 15 not not RB 39713 3875 16 represent represent VB 39713 3875 17 to to IN 39713 3875 18 ourselves -PRON- PRP 39713 3875 19 space space NN 39713 3875 20 of of IN 39713 3875 21 four four CD 39713 3875 22 , , , 39713 3875 23 nor nor CC 39713 3875 24 space space NN 39713 3875 25 of of IN 39713 3875 26 three three CD 39713 3875 27 , , , 39713 3875 28 dimensions dimension NNS 39713 3875 29 ; ; : 39713 3875 30 we -PRON- PRP 39713 3875 31 can can MD 39713 3875 32 not not RB 39713 3875 33 first first RB 39713 3875 34 represent represent VB 39713 3875 35 them -PRON- PRP 39713 3875 36 to to IN 39713 3875 37 ourselves -PRON- PRP 39713 3875 38 empty empty JJ 39713 3875 39 , , , 39713 3875 40 and and CC 39713 3875 41 no no DT 39713 3875 42 more more JJR 39713 3875 43 can can MD 39713 3875 44 we -PRON- PRP 39713 3875 45 represent represent VB 39713 3875 46 to to IN 39713 3875 47 ourselves -PRON- PRP 39713 3875 48 an an DT 39713 3875 49 object object NN 39713 3875 50 either either CC 39713 3875 51 in in IN 39713 3875 52 space space NN 39713 3875 53 of of IN 39713 3875 54 four four CD 39713 3875 55 , , , 39713 3875 56 or or CC 39713 3875 57 in in IN 39713 3875 58 space space NN 39713 3875 59 of of IN 39713 3875 60 three three CD 39713 3875 61 , , , 39713 3875 62 dimensions dimension NNS 39713 3875 63 : : : 39713 3875 64 ( ( -LRB- 39713 3875 65 1 1 LS 39713 3875 66 ) ) -RRB- 39713 3875 67 Because because IN 39713 3875 68 these these DT 39713 3875 69 spaces space NNS 39713 3875 70 are be VBP 39713 3875 71 both both RB 39713 3875 72 infinite infinite JJ 39713 3875 73 and and CC 39713 3875 74 we -PRON- PRP 39713 3875 75 can can MD 39713 3875 76 not not RB 39713 3875 77 represent represent VB 39713 3875 78 to to IN 39713 3875 79 ourselves -PRON- PRP 39713 3875 80 a a DT 39713 3875 81 figure figure NN 39713 3875 82 _ _ NNP 39713 3875 83 in in IN 39713 3875 84 _ _ NNP 39713 3875 85 space space NN 39713 3875 86 , , , 39713 3875 87 that that RB 39713 3875 88 is is RB 39713 3875 89 , , , 39713 3875 90 the the DT 39713 3875 91 part part NN 39713 3875 92 _ _ NNP 39713 3875 93 in in IN 39713 3875 94 _ _ NNP 39713 3875 95 the the DT 39713 3875 96 whole whole NN 39713 3875 97 , , , 39713 3875 98 without without IN 39713 3875 99 representing represent VBG 39713 3875 100 the the DT 39713 3875 101 whole whole NN 39713 3875 102 , , , 39713 3875 103 and and CC 39713 3875 104 that that DT 39713 3875 105 is be VBZ 39713 3875 106 impossible impossible JJ 39713 3875 107 , , , 39713 3875 108 because because IN 39713 3875 109 it -PRON- PRP 39713 3875 110 is be VBZ 39713 3875 111 infinite infinite JJ 39713 3875 112 ; ; : 39713 3875 113 ( ( -LRB- 39713 3875 114 2 2 LS 39713 3875 115 ) ) -RRB- 39713 3875 116 because because IN 39713 3875 117 these these DT 39713 3875 118 spaces space NNS 39713 3875 119 are be VBP 39713 3875 120 both both DT 39713 3875 121 mathematical mathematical JJ 39713 3875 122 continua continua NN 39713 3875 123 , , , 39713 3875 124 and and CC 39713 3875 125 we -PRON- PRP 39713 3875 126 can can MD 39713 3875 127 represent represent VB 39713 3875 128 to to IN 39713 3875 129 ourselves -PRON- PRP 39713 3875 130 only only RB 39713 3875 131 the the DT 39713 3875 132 physical physical JJ 39713 3875 133 continuum continuum NN 39713 3875 134 ; ; , 39713 3875 135 ( ( -LRB- 39713 3875 136 3 3 LS 39713 3875 137 ) ) -RRB- 39713 3875 138 because because IN 39713 3875 139 these these DT 39713 3875 140 spaces space NNS 39713 3875 141 are be VBP 39713 3875 142 both both DT 39713 3875 143 homogeneous homogeneous JJ 39713 3875 144 , , , 39713 3875 145 and and CC 39713 3875 146 the the DT 39713 3875 147 frames frame NNS 39713 3875 148 in in IN 39713 3875 149 which which WDT 39713 3875 150 we -PRON- PRP 39713 3875 151 enclose enclose VBP 39713 3875 152 our -PRON- PRP$ 39713 3875 153 sensations sensation NNS 39713 3875 154 , , , 39713 3875 155 being be VBG 39713 3875 156 limited limit VBN 39713 3875 157 , , , 39713 3875 158 can can MD 39713 3875 159 not not RB 39713 3875 160 be be VB 39713 3875 161 homogeneous homogeneous JJ 39713 3875 162 . . . 39713 3876 1 Thus thus RB 39713 3876 2 the the DT 39713 3876 3 question question NN 39713 3876 4 put put VBN 39713 3876 5 can can MD 39713 3876 6 only only RB 39713 3876 7 be be VB 39713 3876 8 understood understand VBN 39713 3876 9 in in IN 39713 3876 10 one one CD 39713 3876 11 way way NN 39713 3876 12 ; ; : 39713 3876 13 is be VBZ 39713 3876 14 it -PRON- PRP 39713 3876 15 possible possible JJ 39713 3876 16 to to TO 39713 3876 17 imagine imagine VB 39713 3876 18 that that IN 39713 3876 19 , , , 39713 3876 20 the the DT 39713 3876 21 results result NNS 39713 3876 22 of of IN 39713 3876 23 the the DT 39713 3876 24 experiences experience NNS 39713 3876 25 related relate VBN 39713 3876 26 above above IN 39713 3876 27 having have VBG 39713 3876 28 been be VBN 39713 3876 29 different different JJ 39713 3876 30 , , , 39713 3876 31 we -PRON- PRP 39713 3876 32 might may MD 39713 3876 33 have have VB 39713 3876 34 been be VBN 39713 3876 35 led lead VBN 39713 3876 36 to to TO 39713 3876 37 attribute attribute VB 39713 3876 38 to to IN 39713 3876 39 space space NN 39713 3876 40 more more JJR 39713 3876 41 than than IN 39713 3876 42 three three CD 39713 3876 43 dimensions dimension NNS 39713 3876 44 ; ; : 39713 3876 45 to to TO 39713 3876 46 imagine imagine VB 39713 3876 47 , , , 39713 3876 48 for for IN 39713 3876 49 instance instance NN 39713 3876 50 , , , 39713 3876 51 that that IN 39713 3876 52 the the DT 39713 3876 53 sensation sensation NN 39713 3876 54 of of IN 39713 3876 55 accommodation accommodation NN 39713 3876 56 might may MD 39713 3876 57 not not RB 39713 3876 58 be be VB 39713 3876 59 constantly constantly RB 39713 3876 60 in in IN 39713 3876 61 accord accord NN 39713 3876 62 with with IN 39713 3876 63 the the DT 39713 3876 64 sensation sensation NN 39713 3876 65 of of IN 39713 3876 66 convergence convergence NN 39713 3876 67 of of IN 39713 3876 68 the the DT 39713 3876 69 eyes eye NNS 39713 3876 70 ; ; : 39713 3876 71 or or CC 39713 3876 72 indeed indeed RB 39713 3876 73 that that IN 39713 3876 74 the the DT 39713 3876 75 experiences experience NNS 39713 3876 76 of of IN 39713 3876 77 which which WDT 39713 3876 78 we -PRON- PRP 39713 3876 79 have have VBP 39713 3876 80 spoken speak VBN 39713 3876 81 in in IN 39713 3876 82 § § CD 39713 3876 83 2 2 CD 39713 3876 84 , , , 39713 3876 85 and and CC 39713 3876 86 of of IN 39713 3876 87 which which WDT 39713 3876 88 we -PRON- PRP 39713 3876 89 express express VBP 39713 3876 90 the the DT 39713 3876 91 result result NN 39713 3876 92 by by IN 39713 3876 93 saying say VBG 39713 3876 94 ' ' '' 39713 3876 95 that that DT 39713 3876 96 touch touch NN 39713 3876 97 does do VBZ 39713 3876 98 not not RB 39713 3876 99 operate operate VB 39713 3876 100 at at IN 39713 3876 101 a a DT 39713 3876 102 distance distance NN 39713 3876 103 , , , 39713 3876 104 ' ' '' 39713 3876 105 might may MD 39713 3876 106 have have VB 39713 3876 107 led lead VBN 39713 3876 108 us -PRON- PRP 39713 3876 109 to to IN 39713 3876 110 an an DT 39713 3876 111 inverse inverse NN 39713 3876 112 conclusion conclusion NN 39713 3876 113 . . . 39713 3877 1 And and CC 39713 3877 2 then then RB 39713 3877 3 yes yes UH 39713 3877 4 evidently evidently RB 39713 3877 5 that that WDT 39713 3877 6 is be VBZ 39713 3877 7 possible possible JJ 39713 3877 8 ; ; : 39713 3877 9 from from IN 39713 3877 10 the the DT 39713 3877 11 moment moment NN 39713 3877 12 one one NN 39713 3877 13 imagines imagine VBZ 39713 3877 14 an an DT 39713 3877 15 experience experience NN 39713 3877 16 , , , 39713 3877 17 one one CD 39713 3877 18 imagines imago NNS 39713 3877 19 just just RB 39713 3877 20 thereby thereby RB 39713 3877 21 the the DT 39713 3877 22 two two CD 39713 3877 23 contrary contrary JJ 39713 3877 24 results result NNS 39713 3877 25 it -PRON- PRP 39713 3877 26 may may MD 39713 3877 27 give give VB 39713 3877 28 . . . 39713 3878 1 That that DT 39713 3878 2 is be VBZ 39713 3878 3 possible possible JJ 39713 3878 4 , , , 39713 3878 5 but but CC 39713 3878 6 that that DT 39713 3878 7 is be VBZ 39713 3878 8 difficult difficult JJ 39713 3878 9 , , , 39713 3878 10 because because IN 39713 3878 11 we -PRON- PRP 39713 3878 12 have have VBP 39713 3878 13 to to TO 39713 3878 14 overcome overcome VB 39713 3878 15 a a DT 39713 3878 16 multitude multitude NN 39713 3878 17 of of IN 39713 3878 18 associations association NNS 39713 3878 19 of of IN 39713 3878 20 ideas idea NNS 39713 3878 21 , , , 39713 3878 22 which which WDT 39713 3878 23 are be VBP 39713 3878 24 the the DT 39713 3878 25 fruit fruit NN 39713 3878 26 of of IN 39713 3878 27 a a DT 39713 3878 28 long long JJ 39713 3878 29 personal personal JJ 39713 3878 30 experience experience NN 39713 3878 31 and and CC 39713 3878 32 of of IN 39713 3878 33 the the DT 39713 3878 34 still still RB 39713 3878 35 longer long JJR 39713 3878 36 experience experience NN 39713 3878 37 of of IN 39713 3878 38 the the DT 39713 3878 39 race race NN 39713 3878 40 . . . 39713 3879 1 Is be VBZ 39713 3879 2 it -PRON- PRP 39713 3879 3 these these DT 39713 3879 4 associations association NNS 39713 3879 5 ( ( -LRB- 39713 3879 6 or or CC 39713 3879 7 at at IN 39713 3879 8 least least JJS 39713 3879 9 those those DT 39713 3879 10 of of IN 39713 3879 11 them -PRON- PRP 39713 3879 12 that that WDT 39713 3879 13 we -PRON- PRP 39713 3879 14 have have VBP 39713 3879 15 inherited inherit VBN 39713 3879 16 from from IN 39713 3879 17 our -PRON- PRP$ 39713 3879 18 ancestors ancestor NNS 39713 3879 19 ) ) -RRB- 39713 3879 20 , , , 39713 3879 21 which which WDT 39713 3879 22 constitute constitute VBP 39713 3879 23 this this DT 39713 3879 24 _ _ NNP 39713 3879 25 a a DT 39713 3879 26 priori priori FW 39713 3879 27 _ _ NNP 39713 3879 28 form form NN 39713 3879 29 of of IN 39713 3879 30 which which WDT 39713 3879 31 it -PRON- PRP 39713 3879 32 is be VBZ 39713 3879 33 said say VBN 39713 3879 34 that that IN 39713 3879 35 we -PRON- PRP 39713 3879 36 have have VBP 39713 3879 37 pure pure JJ 39713 3879 38 intuition intuition NN 39713 3879 39 ? ? . 39713 3880 1 Then then RB 39713 3880 2 I -PRON- PRP 39713 3880 3 do do VBP 39713 3880 4 not not RB 39713 3880 5 see see VB 39713 3880 6 why why WRB 39713 3880 7 one one PRP 39713 3880 8 should should MD 39713 3880 9 declare declare VB 39713 3880 10 it -PRON- PRP 39713 3880 11 refractory refractory JJ 39713 3880 12 to to IN 39713 3880 13 analysis analysis NN 39713 3880 14 and and CC 39713 3880 15 should should MD 39713 3880 16 deny deny VB 39713 3880 17 me -PRON- PRP 39713 3880 18 the the DT 39713 3880 19 right right NN 39713 3880 20 of of IN 39713 3880 21 investigating investigate VBG 39713 3880 22 its -PRON- PRP$ 39713 3880 23 origin origin NN 39713 3880 24 . . . 39713 3881 1 When when WRB 39713 3881 2 it -PRON- PRP 39713 3881 3 is be VBZ 39713 3881 4 said say VBN 39713 3881 5 that that IN 39713 3881 6 our -PRON- PRP$ 39713 3881 7 sensations sensation NNS 39713 3881 8 are be VBP 39713 3881 9 ' ' `` 39713 3881 10 extended extended JJ 39713 3881 11 ' ' '' 39713 3881 12 only only RB 39713 3881 13 one one CD 39713 3881 14 thing thing NN 39713 3881 15 can can MD 39713 3881 16 be be VB 39713 3881 17 meant mean VBN 39713 3881 18 , , , 39713 3881 19 that that DT 39713 3881 20 is be VBZ 39713 3881 21 that that IN 39713 3881 22 they -PRON- PRP 39713 3881 23 are be VBP 39713 3881 24 always always RB 39713 3881 25 associated associate VBN 39713 3881 26 with with IN 39713 3881 27 the the DT 39713 3881 28 idea idea NN 39713 3881 29 of of IN 39713 3881 30 certain certain JJ 39713 3881 31 muscular muscular JJ 39713 3881 32 sensations sensation NNS 39713 3881 33 , , , 39713 3881 34 corresponding correspond VBG 39713 3881 35 to to IN 39713 3881 36 the the DT 39713 3881 37 movements movement NNS 39713 3881 38 which which WDT 39713 3881 39 enable enable VBP 39713 3881 40 us -PRON- PRP 39713 3881 41 to to TO 39713 3881 42 reach reach VB 39713 3881 43 the the DT 39713 3881 44 object object NN 39713 3881 45 which which WDT 39713 3881 46 causes cause VBZ 39713 3881 47 them -PRON- PRP 39713 3881 48 , , , 39713 3881 49 which which WDT 39713 3881 50 enable enable VBP 39713 3881 51 us -PRON- PRP 39713 3881 52 , , , 39713 3881 53 in in IN 39713 3881 54 other other JJ 39713 3881 55 words word NNS 39713 3881 56 , , , 39713 3881 57 to to TO 39713 3881 58 defend defend VB 39713 3881 59 ourselves -PRON- PRP 39713 3881 60 against against IN 39713 3881 61 it -PRON- PRP 39713 3881 62 . . . 39713 3882 1 And and CC 39713 3882 2 it -PRON- PRP 39713 3882 3 is be VBZ 39713 3882 4 just just RB 39713 3882 5 because because IN 39713 3882 6 this this DT 39713 3882 7 association association NN 39713 3882 8 is be VBZ 39713 3882 9 useful useful JJ 39713 3882 10 for for IN 39713 3882 11 the the DT 39713 3882 12 defense defense NN 39713 3882 13 of of IN 39713 3882 14 the the DT 39713 3882 15 organism organism NN 39713 3882 16 , , , 39713 3882 17 that that IN 39713 3882 18 it -PRON- PRP 39713 3882 19 is be VBZ 39713 3882 20 so so RB 39713 3882 21 old old JJ 39713 3882 22 in in IN 39713 3882 23 the the DT 39713 3882 24 history history NN 39713 3882 25 of of IN 39713 3882 26 the the DT 39713 3882 27 species specie NNS 39713 3882 28 and and CC 39713 3882 29 that that IN 39713 3882 30 it -PRON- PRP 39713 3882 31 seems seem VBZ 39713 3882 32 to to IN 39713 3882 33 us -PRON- PRP 39713 3882 34 indestructible indestructible JJ 39713 3882 35 . . . 39713 3883 1 Nevertheless nevertheless RB 39713 3883 2 , , , 39713 3883 3 it -PRON- PRP 39713 3883 4 is be VBZ 39713 3883 5 only only RB 39713 3883 6 an an DT 39713 3883 7 association association NN 39713 3883 8 and and CC 39713 3883 9 we -PRON- PRP 39713 3883 10 can can MD 39713 3883 11 conceive conceive VB 39713 3883 12 that that IN 39713 3883 13 it -PRON- PRP 39713 3883 14 may may MD 39713 3883 15 be be VB 39713 3883 16 broken break VBN 39713 3883 17 ; ; : 39713 3883 18 so so IN 39713 3883 19 that that IN 39713 3883 20 we -PRON- PRP 39713 3883 21 may may MD 39713 3883 22 not not RB 39713 3883 23 say say VB 39713 3883 24 that that IN 39713 3883 25 sensation sensation NN 39713 3883 26 can can MD 39713 3883 27 not not RB 39713 3883 28 enter enter VB 39713 3883 29 consciousness consciousness NN 39713 3883 30 without without IN 39713 3883 31 entering enter VBG 39713 3883 32 in in IN 39713 3883 33 space space NN 39713 3883 34 , , , 39713 3883 35 but but CC 39713 3883 36 that that IN 39713 3883 37 in in IN 39713 3883 38 fact fact NN 39713 3883 39 it -PRON- PRP 39713 3883 40 does do VBZ 39713 3883 41 not not RB 39713 3883 42 enter enter VB 39713 3883 43 consciousness consciousness NN 39713 3883 44 without without IN 39713 3883 45 entering enter VBG 39713 3883 46 in in IN 39713 3883 47 space space NN 39713 3883 48 , , , 39713 3883 49 which which WDT 39713 3883 50 means mean VBZ 39713 3883 51 , , , 39713 3883 52 without without IN 39713 3883 53 being be VBG 39713 3883 54 entangled entangle VBN 39713 3883 55 in in IN 39713 3883 56 this this DT 39713 3883 57 association association NN 39713 3883 58 . . . 39713 3884 1 No no DT 39713 3884 2 more more RBR 39713 3884 3 can can MD 39713 3884 4 I -PRON- PRP 39713 3884 5 understand understand VB 39713 3884 6 one one PRP 39713 3884 7 's 's POS 39713 3884 8 saying say VBG 39713 3884 9 that that IN 39713 3884 10 the the DT 39713 3884 11 idea idea NN 39713 3884 12 of of IN 39713 3884 13 time time NN 39713 3884 14 is be VBZ 39713 3884 15 logically logically RB 39713 3884 16 subsequent subsequent JJ 39713 3884 17 to to IN 39713 3884 18 space space NN 39713 3884 19 , , , 39713 3884 20 since since IN 39713 3884 21 we -PRON- PRP 39713 3884 22 can can MD 39713 3884 23 represent represent VB 39713 3884 24 it -PRON- PRP 39713 3884 25 to to IN 39713 3884 26 ourselves -PRON- PRP 39713 3884 27 only only RB 39713 3884 28 under under IN 39713 3884 29 the the DT 39713 3884 30 form form NN 39713 3884 31 of of IN 39713 3884 32 a a DT 39713 3884 33 straight straight JJ 39713 3884 34 line line NN 39713 3884 35 ; ; : 39713 3884 36 as as RB 39713 3884 37 well well RB 39713 3884 38 say say VB 39713 3884 39 that that DT 39713 3884 40 time time NN 39713 3884 41 is be VBZ 39713 3884 42 logically logically RB 39713 3884 43 subsequent subsequent JJ 39713 3884 44 to to IN 39713 3884 45 the the DT 39713 3884 46 cultivation cultivation NN 39713 3884 47 of of IN 39713 3884 48 the the DT 39713 3884 49 prairies prairie NNS 39713 3884 50 , , , 39713 3884 51 since since IN 39713 3884 52 it -PRON- PRP 39713 3884 53 is be VBZ 39713 3884 54 usually usually RB 39713 3884 55 represented represent VBN 39713 3884 56 armed armed JJ 39713 3884 57 with with IN 39713 3884 58 a a DT 39713 3884 59 scythe scythe NN 39713 3884 60 . . . 39713 3885 1 That that DT 39713 3885 2 one one PRP 39713 3885 3 can can MD 39713 3885 4 not not RB 39713 3885 5 represent represent VB 39713 3885 6 to to IN 39713 3885 7 himself -PRON- PRP 39713 3885 8 simultaneously simultaneously RB 39713 3885 9 the the DT 39713 3885 10 different different JJ 39713 3885 11 parts part NNS 39713 3885 12 of of IN 39713 3885 13 time time NN 39713 3885 14 , , , 39713 3885 15 goes go VBZ 39713 3885 16 without without IN 39713 3885 17 saying say VBG 39713 3885 18 , , , 39713 3885 19 since since IN 39713 3885 20 the the DT 39713 3885 21 essential essential JJ 39713 3885 22 character character NN 39713 3885 23 of of IN 39713 3885 24 these these DT 39713 3885 25 parts part NNS 39713 3885 26 is be VBZ 39713 3885 27 precisely precisely RB 39713 3885 28 not not RB 39713 3885 29 to to TO 39713 3885 30 be be VB 39713 3885 31 simultaneous simultaneous JJ 39713 3885 32 . . . 39713 3886 1 That that DT 39713 3886 2 does do VBZ 39713 3886 3 not not RB 39713 3886 4 mean mean VB 39713 3886 5 that that IN 39713 3886 6 we -PRON- PRP 39713 3886 7 have have VBP 39713 3886 8 not not RB 39713 3886 9 the the DT 39713 3886 10 intuition intuition NN 39713 3886 11 of of IN 39713 3886 12 time time NN 39713 3886 13 . . . 39713 3887 1 So so RB 39713 3887 2 far far RB 39713 3887 3 as as IN 39713 3887 4 that that DT 39713 3887 5 goes go VBZ 39713 3887 6 , , , 39713 3887 7 no no DT 39713 3887 8 more more JJR 39713 3887 9 should should MD 39713 3887 10 we -PRON- PRP 39713 3887 11 have have VB 39713 3887 12 that that DT 39713 3887 13 of of IN 39713 3887 14 space space NN 39713 3887 15 , , , 39713 3887 16 because because IN 39713 3887 17 neither neither DT 39713 3887 18 can can MD 39713 3887 19 we -PRON- PRP 39713 3887 20 represent represent VB 39713 3887 21 it -PRON- PRP 39713 3887 22 , , , 39713 3887 23 in in IN 39713 3887 24 the the DT 39713 3887 25 proper proper JJ 39713 3887 26 sense sense NN 39713 3887 27 of of IN 39713 3887 28 the the DT 39713 3887 29 word word NN 39713 3887 30 , , , 39713 3887 31 for for IN 39713 3887 32 the the DT 39713 3887 33 reasons reason NNS 39713 3887 34 I -PRON- PRP 39713 3887 35 have have VBP 39713 3887 36 mentioned mention VBN 39713 3887 37 . . . 39713 3888 1 What what WP 39713 3888 2 we -PRON- PRP 39713 3888 3 represent represent VBP 39713 3888 4 to to IN 39713 3888 5 ourselves -PRON- PRP 39713 3888 6 under under IN 39713 3888 7 the the DT 39713 3888 8 name name NN 39713 3888 9 of of IN 39713 3888 10 straight straight NNP 39713 3888 11 is be VBZ 39713 3888 12 a a DT 39713 3888 13 crude crude JJ 39713 3888 14 image image NN 39713 3888 15 which which WDT 39713 3888 16 as as IN 39713 3888 17 ill ill JJ 39713 3888 18 resembles resemble VBZ 39713 3888 19 the the DT 39713 3888 20 geometric geometric JJ 39713 3888 21 straight straight RB 39713 3888 22 as as IN 39713 3888 23 it -PRON- PRP 39713 3888 24 does do VBZ 39713 3888 25 time time NN 39713 3888 26 itself -PRON- PRP 39713 3888 27 . . . 39713 3889 1 Why why WRB 39713 3889 2 has have VBZ 39713 3889 3 it -PRON- PRP 39713 3889 4 been be VBN 39713 3889 5 said say VBN 39713 3889 6 that that IN 39713 3889 7 every every DT 39713 3889 8 attempt attempt NN 39713 3889 9 to to TO 39713 3889 10 give give VB 39713 3889 11 a a DT 39713 3889 12 fourth fourth JJ 39713 3889 13 dimension dimension NN 39713 3889 14 to to IN 39713 3889 15 space space NN 39713 3889 16 always always RB 39713 3889 17 carries carry VBZ 39713 3889 18 this this DT 39713 3889 19 one one NN 39713 3889 20 back back RB 39713 3889 21 to to IN 39713 3889 22 one one CD 39713 3889 23 of of IN 39713 3889 24 the the DT 39713 3889 25 other other JJ 39713 3889 26 three three CD 39713 3889 27 ? ? . 39713 3890 1 It -PRON- PRP 39713 3890 2 is be VBZ 39713 3890 3 easy easy JJ 39713 3890 4 to to TO 39713 3890 5 understand understand VB 39713 3890 6 . . . 39713 3891 1 Consider consider VB 39713 3891 2 our -PRON- PRP$ 39713 3891 3 muscular muscular JJ 39713 3891 4 sensations sensation NNS 39713 3891 5 and and CC 39713 3891 6 the the DT 39713 3891 7 ' ' `` 39713 3891 8 series series NN 39713 3891 9 ' ' '' 39713 3891 10 they -PRON- PRP 39713 3891 11 may may MD 39713 3891 12 form form VB 39713 3891 13 . . . 39713 3892 1 In in IN 39713 3892 2 consequence consequence NN 39713 3892 3 of of IN 39713 3892 4 numerous numerous JJ 39713 3892 5 experiences experience NNS 39713 3892 6 , , , 39713 3892 7 the the DT 39713 3892 8 ideas idea NNS 39713 3892 9 of of IN 39713 3892 10 these these DT 39713 3892 11 series serie NNS 39713 3892 12 are be VBP 39713 3892 13 associated associate VBN 39713 3892 14 together together RB 39713 3892 15 in in IN 39713 3892 16 a a DT 39713 3892 17 very very RB 39713 3892 18 complex complex JJ 39713 3892 19 woof woof NN 39713 3892 20 , , , 39713 3892 21 our -PRON- PRP$ 39713 3892 22 series series NN 39713 3892 23 are be VBP 39713 3892 24 _ _ NNP 39713 3892 25 classed class VBN 39713 3892 26 _ _ NNP 39713 3892 27 . . . 39713 3893 1 Allow allow VB 39713 3893 2 me -PRON- PRP 39713 3893 3 , , , 39713 3893 4 for for IN 39713 3893 5 convenience convenience NN 39713 3893 6 of of IN 39713 3893 7 language language NN 39713 3893 8 , , , 39713 3893 9 to to TO 39713 3893 10 express express VB 39713 3893 11 my -PRON- PRP$ 39713 3893 12 thought thought NN 39713 3893 13 in in IN 39713 3893 14 a a DT 39713 3893 15 way way NN 39713 3893 16 altogether altogether RB 39713 3893 17 crude crude JJ 39713 3893 18 and and CC 39713 3893 19 even even RB 39713 3893 20 inexact inexact NN 39713 3893 21 by by IN 39713 3893 22 saying say VBG 39713 3893 23 that that IN 39713 3893 24 our -PRON- PRP$ 39713 3893 25 series series NN 39713 3893 26 of of IN 39713 3893 27 muscular muscular JJ 39713 3893 28 sensations sensation NNS 39713 3893 29 are be VBP 39713 3893 30 classed class VBN 39713 3893 31 in in IN 39713 3893 32 three three CD 39713 3893 33 classes class NNS 39713 3893 34 corresponding correspond VBG 39713 3893 35 to to IN 39713 3893 36 the the DT 39713 3893 37 three three CD 39713 3893 38 dimensions dimension NNS 39713 3893 39 of of IN 39713 3893 40 space space NN 39713 3893 41 . . . 39713 3894 1 Of of RB 39713 3894 2 course course RB 39713 3894 3 this this DT 39713 3894 4 classification classification NN 39713 3894 5 is be VBZ 39713 3894 6 much much RB 39713 3894 7 more more RBR 39713 3894 8 complicated complicated JJ 39713 3894 9 than than IN 39713 3894 10 that that DT 39713 3894 11 , , , 39713 3894 12 but but CC 39713 3894 13 that that DT 39713 3894 14 will will MD 39713 3894 15 suffice suffice VB 39713 3894 16 to to TO 39713 3894 17 make make VB 39713 3894 18 my -PRON- PRP$ 39713 3894 19 reasoning reasoning NN 39713 3894 20 understood understand VBD 39713 3894 21 . . . 39713 3895 1 If if IN 39713 3895 2 I -PRON- PRP 39713 3895 3 wish wish VBP 39713 3895 4 to to TO 39713 3895 5 imagine imagine VB 39713 3895 6 a a DT 39713 3895 7 fourth fourth JJ 39713 3895 8 dimension dimension NN 39713 3895 9 , , , 39713 3895 10 I -PRON- PRP 39713 3895 11 shall shall MD 39713 3895 12 suppose suppose VB 39713 3895 13 another another DT 39713 3895 14 series series NN 39713 3895 15 of of IN 39713 3895 16 muscular muscular JJ 39713 3895 17 sensations sensation NNS 39713 3895 18 , , , 39713 3895 19 making make VBG 39713 3895 20 part part NN 39713 3895 21 of of IN 39713 3895 22 a a DT 39713 3895 23 fourth fourth JJ 39713 3895 24 class class NN 39713 3895 25 . . . 39713 3896 1 But but CC 39713 3896 2 as as IN 39713 3896 3 _ _ NNP 39713 3896 4 all all DT 39713 3896 5 _ _ NNP 39713 3896 6 my -PRON- PRP$ 39713 3896 7 muscular muscular JJ 39713 3896 8 sensations sensation NNS 39713 3896 9 have have VBP 39713 3896 10 already already RB 39713 3896 11 been be VBN 39713 3896 12 classed class VBN 39713 3896 13 in in IN 39713 3896 14 one one CD 39713 3896 15 of of IN 39713 3896 16 the the DT 39713 3896 17 three three CD 39713 3896 18 pre pre JJ 39713 3896 19 - - JJ 39713 3896 20 existent existent JJ 39713 3896 21 classes class NNS 39713 3896 22 , , , 39713 3896 23 I -PRON- PRP 39713 3896 24 can can MD 39713 3896 25 only only RB 39713 3896 26 represent represent VB 39713 3896 27 to to IN 39713 3896 28 myself -PRON- PRP 39713 3896 29 a a DT 39713 3896 30 series series NN 39713 3896 31 belonging belong VBG 39713 3896 32 to to IN 39713 3896 33 one one CD 39713 3896 34 of of IN 39713 3896 35 these these DT 39713 3896 36 three three CD 39713 3896 37 classes class NNS 39713 3896 38 , , , 39713 3896 39 so so IN 39713 3896 40 that that IN 39713 3896 41 my -PRON- PRP$ 39713 3896 42 fourth fourth JJ 39713 3896 43 dimension dimension NN 39713 3896 44 is be VBZ 39713 3896 45 carried carry VBN 39713 3896 46 back back RB 39713 3896 47 to to IN 39713 3896 48 one one CD 39713 3896 49 of of IN 39713 3896 50 the the DT 39713 3896 51 other other JJ 39713 3896 52 three three CD 39713 3896 53 . . . 39713 3897 1 What what WP 39713 3897 2 does do VBZ 39713 3897 3 that that DT 39713 3897 4 prove prove VB 39713 3897 5 ? ? . 39713 3898 1 This this DT 39713 3898 2 : : : 39713 3898 3 that that IN 39713 3898 4 it -PRON- PRP 39713 3898 5 would would MD 39713 3898 6 have have VB 39713 3898 7 been be VBN 39713 3898 8 necessary necessary JJ 39713 3898 9 first first RB 39713 3898 10 to to TO 39713 3898 11 destroy destroy VB 39713 3898 12 the the DT 39713 3898 13 old old JJ 39713 3898 14 classification classification NN 39713 3898 15 and and CC 39713 3898 16 replace replace VB 39713 3898 17 it -PRON- PRP 39713 3898 18 by by IN 39713 3898 19 a a DT 39713 3898 20 new new JJ 39713 3898 21 one one CD 39713 3898 22 in in IN 39713 3898 23 which which WDT 39713 3898 24 the the DT 39713 3898 25 series series NN 39713 3898 26 of of IN 39713 3898 27 muscular muscular JJ 39713 3898 28 sensations sensation NNS 39713 3898 29 should should MD 39713 3898 30 have have VB 39713 3898 31 been be VBN 39713 3898 32 distributed distribute VBN 39713 3898 33 into into IN 39713 3898 34 four four CD 39713 3898 35 classes class NNS 39713 3898 36 . . . 39713 3899 1 The the DT 39713 3899 2 difficulty difficulty NN 39713 3899 3 would would MD 39713 3899 4 have have VB 39713 3899 5 disappeared disappear VBN 39713 3899 6 . . . 39713 3900 1 It -PRON- PRP 39713 3900 2 is be VBZ 39713 3900 3 presented present VBN 39713 3900 4 sometimes sometimes RB 39713 3900 5 under under IN 39713 3900 6 a a DT 39713 3900 7 more more RBR 39713 3900 8 striking striking JJ 39713 3900 9 form form NN 39713 3900 10 . . . 39713 3901 1 Suppose suppose VB 39713 3901 2 I -PRON- PRP 39713 3901 3 am be VBP 39713 3901 4 enclosed enclose VBN 39713 3901 5 in in IN 39713 3901 6 a a DT 39713 3901 7 chamber chamber NN 39713 3901 8 between between IN 39713 3901 9 the the DT 39713 3901 10 six six CD 39713 3901 11 impassable impassable JJ 39713 3901 12 boundaries boundary NNS 39713 3901 13 formed form VBN 39713 3901 14 by by IN 39713 3901 15 the the DT 39713 3901 16 four four CD 39713 3901 17 walls wall NNS 39713 3901 18 , , , 39713 3901 19 the the DT 39713 3901 20 floor floor NN 39713 3901 21 and and CC 39713 3901 22 the the DT 39713 3901 23 ceiling ceiling NN 39713 3901 24 ; ; : 39713 3901 25 it -PRON- PRP 39713 3901 26 will will MD 39713 3901 27 be be VB 39713 3901 28 impossible impossible JJ 39713 3901 29 for for IN 39713 3901 30 me -PRON- PRP 39713 3901 31 to to TO 39713 3901 32 get get VB 39713 3901 33 out out RP 39713 3901 34 and and CC 39713 3901 35 to to TO 39713 3901 36 imagine imagine VB 39713 3901 37 my -PRON- PRP$ 39713 3901 38 getting get VBG 39713 3901 39 out out RP 39713 3901 40 . . . 39713 3902 1 Pardon Pardon NNP 39713 3902 2 , , , 39713 3902 3 can can MD 39713 3902 4 you -PRON- PRP 39713 3902 5 not not RB 39713 3902 6 imagine imagine VB 39713 3902 7 that that IN 39713 3902 8 the the DT 39713 3902 9 door door NN 39713 3902 10 opens open VBZ 39713 3902 11 , , , 39713 3902 12 or or CC 39713 3902 13 that that IN 39713 3902 14 two two CD 39713 3902 15 of of IN 39713 3902 16 these these DT 39713 3902 17 walls wall NNS 39713 3902 18 separate separate VB 39713 3902 19 ? ? . 39713 3903 1 But but CC 39713 3903 2 of of IN 39713 3903 3 course course NN 39713 3903 4 , , , 39713 3903 5 you -PRON- PRP 39713 3903 6 answer answer VBP 39713 3903 7 , , , 39713 3903 8 one one PRP 39713 3903 9 must must MD 39713 3903 10 suppose suppose VB 39713 3903 11 that that IN 39713 3903 12 these these DT 39713 3903 13 walls wall NNS 39713 3903 14 remain remain VBP 39713 3903 15 immovable immovable JJ 39713 3903 16 . . . 39713 3904 1 Yes yes UH 39713 3904 2 , , , 39713 3904 3 but but CC 39713 3904 4 it -PRON- PRP 39713 3904 5 is be VBZ 39713 3904 6 evident evident JJ 39713 3904 7 that that IN 39713 3904 8 I -PRON- PRP 39713 3904 9 have have VBP 39713 3904 10 the the DT 39713 3904 11 right right NN 39713 3904 12 to to TO 39713 3904 13 move move VB 39713 3904 14 ; ; : 39713 3904 15 and and CC 39713 3904 16 then then RB 39713 3904 17 the the DT 39713 3904 18 walls wall NNS 39713 3904 19 that that WDT 39713 3904 20 we -PRON- PRP 39713 3904 21 suppose suppose VBP 39713 3904 22 absolutely absolutely RB 39713 3904 23 at at IN 39713 3904 24 rest rest NN 39713 3904 25 will will MD 39713 3904 26 be be VB 39713 3904 27 in in IN 39713 3904 28 motion motion NN 39713 3904 29 with with IN 39713 3904 30 regard regard NN 39713 3904 31 to to IN 39713 3904 32 me -PRON- PRP 39713 3904 33 . . . 39713 3905 1 Yes yes UH 39713 3905 2 , , , 39713 3905 3 but but CC 39713 3905 4 such such PDT 39713 3905 5 a a DT 39713 3905 6 relative relative JJ 39713 3905 7 motion motion NN 39713 3905 8 can can MD 39713 3905 9 not not RB 39713 3905 10 be be VB 39713 3905 11 arbitrary arbitrary JJ 39713 3905 12 ; ; : 39713 3905 13 when when WRB 39713 3905 14 objects object NNS 39713 3905 15 are be VBP 39713 3905 16 at at IN 39713 3905 17 rest rest NN 39713 3905 18 , , , 39713 3905 19 their -PRON- PRP$ 39713 3905 20 relative relative JJ 39713 3905 21 motion motion NN 39713 3905 22 with with IN 39713 3905 23 regard regard NN 39713 3905 24 to to IN 39713 3905 25 any any DT 39713 3905 26 axes axis NNS 39713 3905 27 is be VBZ 39713 3905 28 that that DT 39713 3905 29 of of IN 39713 3905 30 a a DT 39713 3905 31 rigid rigid JJ 39713 3905 32 solid solid JJ 39713 3905 33 ; ; : 39713 3905 34 now now RB 39713 3905 35 , , , 39713 3905 36 the the DT 39713 3905 37 apparent apparent JJ 39713 3905 38 motions motion NNS 39713 3905 39 that that WDT 39713 3905 40 you -PRON- PRP 39713 3905 41 imagine imagine VBP 39713 3905 42 are be VBP 39713 3905 43 not not RB 39713 3905 44 in in IN 39713 3905 45 conformity conformity NN 39713 3905 46 with with IN 39713 3905 47 the the DT 39713 3905 48 laws law NNS 39713 3905 49 of of IN 39713 3905 50 motion motion NN 39713 3905 51 of of IN 39713 3905 52 a a DT 39713 3905 53 rigid rigid JJ 39713 3905 54 solid solid NN 39713 3905 55 . . . 39713 3906 1 Yes yes UH 39713 3906 2 , , , 39713 3906 3 but but CC 39713 3906 4 it -PRON- PRP 39713 3906 5 is be VBZ 39713 3906 6 experience experience NN 39713 3906 7 which which WDT 39713 3906 8 has have VBZ 39713 3906 9 taught teach VBN 39713 3906 10 us -PRON- PRP 39713 3906 11 the the DT 39713 3906 12 laws law NNS 39713 3906 13 of of IN 39713 3906 14 motion motion NN 39713 3906 15 of of IN 39713 3906 16 a a DT 39713 3906 17 rigid rigid JJ 39713 3906 18 solid solid NN 39713 3906 19 ; ; : 39713 3906 20 nothing nothing NN 39713 3906 21 would would MD 39713 3906 22 prevent prevent VB 39713 3906 23 our -PRON- PRP$ 39713 3906 24 _ _ NNP 39713 3906 25 imagining imagine VBG 39713 3906 26 _ _ XX 39713 3906 27 them -PRON- PRP 39713 3906 28 different different JJ 39713 3906 29 . . . 39713 3907 1 To to TO 39713 3907 2 sum sum VB 39713 3907 3 up up RP 39713 3907 4 , , , 39713 3907 5 for for IN 39713 3907 6 me -PRON- PRP 39713 3907 7 to to TO 39713 3907 8 imagine imagine VB 39713 3907 9 that that IN 39713 3907 10 I -PRON- PRP 39713 3907 11 get get VBP 39713 3907 12 out out IN 39713 3907 13 of of IN 39713 3907 14 my -PRON- PRP$ 39713 3907 15 prison prison NN 39713 3907 16 , , , 39713 3907 17 I -PRON- PRP 39713 3907 18 have have VBP 39713 3907 19 only only RB 39713 3907 20 to to TO 39713 3907 21 imagine imagine VB 39713 3907 22 that that IN 39713 3907 23 the the DT 39713 3907 24 walls wall NNS 39713 3907 25 seem seem VBP 39713 3907 26 to to TO 39713 3907 27 open open VB 39713 3907 28 , , , 39713 3907 29 when when WRB 39713 3907 30 I -PRON- PRP 39713 3907 31 move move VBP 39713 3907 32 . . . 39713 3908 1 I -PRON- PRP 39713 3908 2 believe believe VBP 39713 3908 3 , , , 39713 3908 4 therefore therefore RB 39713 3908 5 , , , 39713 3908 6 that that IN 39713 3908 7 if if IN 39713 3908 8 by by IN 39713 3908 9 space space NN 39713 3908 10 is be VBZ 39713 3908 11 understood understand VBN 39713 3908 12 a a DT 39713 3908 13 mathematical mathematical JJ 39713 3908 14 continuum continuum NN 39713 3908 15 of of IN 39713 3908 16 three three CD 39713 3908 17 dimensions dimension NNS 39713 3908 18 , , , 39713 3908 19 were be VBD 39713 3908 20 it -PRON- PRP 39713 3908 21 otherwise otherwise RB 39713 3908 22 amorphous amorphous JJ 39713 3908 23 , , , 39713 3908 24 it -PRON- PRP 39713 3908 25 is be VBZ 39713 3908 26 the the DT 39713 3908 27 mind mind NN 39713 3908 28 which which WDT 39713 3908 29 constructs construct VBZ 39713 3908 30 it -PRON- PRP 39713 3908 31 , , , 39713 3908 32 but but CC 39713 3908 33 it -PRON- PRP 39713 3908 34 does do VBZ 39713 3908 35 not not RB 39713 3908 36 construct construct VB 39713 3908 37 it -PRON- PRP 39713 3908 38 out out IN 39713 3908 39 of of IN 39713 3908 40 nothing nothing NN 39713 3908 41 ; ; : 39713 3908 42 it -PRON- PRP 39713 3908 43 needs need VBZ 39713 3908 44 materials material NNS 39713 3908 45 and and CC 39713 3908 46 models model NNS 39713 3908 47 . . . 39713 3909 1 These these DT 39713 3909 2 materials material NNS 39713 3909 3 , , , 39713 3909 4 like like IN 39713 3909 5 these these DT 39713 3909 6 models model NNS 39713 3909 7 , , , 39713 3909 8 preexist preexist VB 39713 3909 9 within within IN 39713 3909 10 it -PRON- PRP 39713 3909 11 . . . 39713 3910 1 But but CC 39713 3910 2 there there EX 39713 3910 3 is be VBZ 39713 3910 4 not not RB 39713 3910 5 a a DT 39713 3910 6 single single JJ 39713 3910 7 model model NN 39713 3910 8 which which WDT 39713 3910 9 is be VBZ 39713 3910 10 imposed impose VBN 39713 3910 11 upon upon IN 39713 3910 12 it -PRON- PRP 39713 3910 13 ; ; : 39713 3910 14 it -PRON- PRP 39713 3910 15 has have VBZ 39713 3910 16 _ _ NNP 39713 3910 17 choice choice NN 39713 3910 18 _ _ NNP 39713 3910 19 ; ; : 39713 3910 20 it -PRON- PRP 39713 3910 21 may may MD 39713 3910 22 choose choose VB 39713 3910 23 , , , 39713 3910 24 for for IN 39713 3910 25 instance instance NN 39713 3910 26 , , , 39713 3910 27 between between IN 39713 3910 28 space space NN 39713 3910 29 of of IN 39713 3910 30 four four CD 39713 3910 31 and and CC 39713 3910 32 space space NN 39713 3910 33 of of IN 39713 3910 34 three three CD 39713 3910 35 dimensions dimension NNS 39713 3910 36 . . . 39713 3911 1 What what WP 39713 3911 2 then then RB 39713 3911 3 is be VBZ 39713 3911 4 the the DT 39713 3911 5 rôle rôle NN 39713 3911 6 of of IN 39713 3911 7 experience experience NN 39713 3911 8 ? ? . 39713 3912 1 It -PRON- PRP 39713 3912 2 gives give VBZ 39713 3912 3 the the DT 39713 3912 4 indications indication NNS 39713 3912 5 following follow VBG 39713 3912 6 which which WDT 39713 3912 7 the the DT 39713 3912 8 choice choice NN 39713 3912 9 is be VBZ 39713 3912 10 made make VBN 39713 3912 11 . . . 39713 3913 1 Another another DT 39713 3913 2 thing thing NN 39713 3913 3 : : : 39713 3913 4 whence whence NN 39713 3913 5 does do VBZ 39713 3913 6 space space NN 39713 3913 7 get get VB 39713 3913 8 its -PRON- PRP$ 39713 3913 9 quantitative quantitative JJ 39713 3913 10 character character NN 39713 3913 11 ? ? . 39713 3914 1 It -PRON- PRP 39713 3914 2 comes come VBZ 39713 3914 3 from from IN 39713 3914 4 the the DT 39713 3914 5 rôle rôle NN 39713 3914 6 which which WDT 39713 3914 7 the the DT 39713 3914 8 series series NN 39713 3914 9 of of IN 39713 3914 10 muscular muscular JJ 39713 3914 11 sensations sensation NNS 39713 3914 12 play play VBP 39713 3914 13 in in IN 39713 3914 14 its -PRON- PRP$ 39713 3914 15 genesis genesis NN 39713 3914 16 . . . 39713 3915 1 These these DT 39713 3915 2 are be VBP 39713 3915 3 series series NN 39713 3915 4 which which WDT 39713 3915 5 may may MD 39713 3915 6 _ _ NNP 39713 3915 7 repeat repeat VB 39713 3915 8 themselves -PRON- PRP 39713 3915 9 _ _ RP 39713 3915 10 , , , 39713 3915 11 and and CC 39713 3915 12 it -PRON- PRP 39713 3915 13 is be VBZ 39713 3915 14 from from IN 39713 3915 15 their -PRON- PRP$ 39713 3915 16 repetition repetition NN 39713 3915 17 that that IN 39713 3915 18 number number NN 39713 3915 19 comes come VBZ 39713 3915 20 ; ; : 39713 3915 21 it -PRON- PRP 39713 3915 22 is be VBZ 39713 3915 23 because because IN 39713 3915 24 they -PRON- PRP 39713 3915 25 can can MD 39713 3915 26 repeat repeat VB 39713 3915 27 themselves -PRON- PRP 39713 3915 28 indefinitely indefinitely RB 39713 3915 29 that that IN 39713 3915 30 space space NN 39713 3915 31 is be VBZ 39713 3915 32 infinite infinite JJ 39713 3915 33 . . . 39713 3916 1 And and CC 39713 3916 2 finally finally RB 39713 3916 3 we -PRON- PRP 39713 3916 4 have have VBP 39713 3916 5 seen see VBN 39713 3916 6 , , , 39713 3916 7 at at IN 39713 3916 8 the the DT 39713 3916 9 end end NN 39713 3916 10 of of IN 39713 3916 11 section section NN 39713 3916 12 3 3 CD 39713 3916 13 , , , 39713 3916 14 that that IN 39713 3916 15 it -PRON- PRP 39713 3916 16 is be VBZ 39713 3916 17 also also RB 39713 3916 18 because because IN 39713 3916 19 of of IN 39713 3916 20 this this DT 39713 3916 21 that that DT 39713 3916 22 space space NN 39713 3916 23 is be VBZ 39713 3916 24 relative relative JJ 39713 3916 25 . . . 39713 3917 1 So so CC 39713 3917 2 it -PRON- PRP 39713 3917 3 is be VBZ 39713 3917 4 repetition repetition NN 39713 3917 5 which which WDT 39713 3917 6 has have VBZ 39713 3917 7 given give VBN 39713 3917 8 to to TO 39713 3917 9 space space VB 39713 3917 10 its -PRON- PRP$ 39713 3917 11 essential essential JJ 39713 3917 12 characteristics characteristic NNS 39713 3917 13 ; ; , 39713 3917 14 now now RB 39713 3917 15 , , , 39713 3917 16 repetition repetition NN 39713 3917 17 supposes suppose VBZ 39713 3917 18 time time NN 39713 3917 19 ; ; : 39713 3917 20 this this DT 39713 3917 21 is be VBZ 39713 3917 22 enough enough JJ 39713 3917 23 to to TO 39713 3917 24 tell tell VB 39713 3917 25 that that DT 39713 3917 26 time time NN 39713 3917 27 is be VBZ 39713 3917 28 logically logically RB 39713 3917 29 anterior anterior JJ 39713 3917 30 to to IN 39713 3917 31 space space NN 39713 3917 32 . . . 39713 3918 1 7 7 LS 39713 3918 2 . . . 39713 3919 1 _ _ NNP 39713 3919 2 Rôle Rôle NNP 39713 3919 3 of of IN 39713 3919 4 the the DT 39713 3919 5 Semicircular Semicircular NNP 39713 3919 6 Canals Canals NNPS 39713 3919 7 _ _ NNP 39713 3919 8 I -PRON- PRP 39713 3919 9 have have VBP 39713 3919 10 not not RB 39713 3919 11 hitherto hitherto RB 39713 3919 12 spoken speak VBN 39713 3919 13 of of IN 39713 3919 14 the the DT 39713 3919 15 rôle rôle NN 39713 3919 16 of of IN 39713 3919 17 certain certain JJ 39713 3919 18 organs organ NNS 39713 3919 19 to to TO 39713 3919 20 which which WDT 39713 3919 21 the the DT 39713 3919 22 physiologists physiologist NNS 39713 3919 23 attribute attribute VBP 39713 3919 24 with with IN 39713 3919 25 reason reason NN 39713 3919 26 a a DT 39713 3919 27 capital capital NN 39713 3919 28 importance importance NN 39713 3919 29 , , , 39713 3919 30 I -PRON- PRP 39713 3919 31 mean mean VBP 39713 3919 32 the the DT 39713 3919 33 semicircular semicircular JJ 39713 3919 34 canals canal NNS 39713 3919 35 . . . 39713 3920 1 Numerous numerous JJ 39713 3920 2 experiments experiment NNS 39713 3920 3 have have VBP 39713 3920 4 sufficiently sufficiently RB 39713 3920 5 shown show VBN 39713 3920 6 that that IN 39713 3920 7 these these DT 39713 3920 8 canals canal NNS 39713 3920 9 are be VBP 39713 3920 10 necessary necessary JJ 39713 3920 11 to to IN 39713 3920 12 our -PRON- PRP$ 39713 3920 13 sense sense NN 39713 3920 14 of of IN 39713 3920 15 orientation orientation NN 39713 3920 16 ; ; : 39713 3920 17 but but CC 39713 3920 18 the the DT 39713 3920 19 physiologists physiologist NNS 39713 3920 20 are be VBP 39713 3920 21 not not RB 39713 3920 22 entirely entirely RB 39713 3920 23 in in IN 39713 3920 24 accord accord NN 39713 3920 25 ; ; : 39713 3920 26 two two CD 39713 3920 27 opposing oppose VBG 39713 3920 28 theories theory NNS 39713 3920 29 have have VBP 39713 3920 30 been be VBN 39713 3920 31 proposed propose VBN 39713 3920 32 , , , 39713 3920 33 that that DT 39713 3920 34 of of IN 39713 3920 35 Mach Mach NNP 39713 3920 36 - - HYPH 39713 3920 37 Delage Delage NNP 39713 3920 38 and and CC 39713 3920 39 that that DT 39713 3920 40 of of IN 39713 3920 41 M. M. NNP 39713 3920 42 de de NNP 39713 3920 43 Cyon Cyon NNP 39713 3920 44 . . . 39713 3921 1 M. M. NNP 39713 3921 2 de de NNP 39713 3921 3 Cyon Cyon NNP 39713 3921 4 is be VBZ 39713 3921 5 a a DT 39713 3921 6 physiologist physiologist NN 39713 3921 7 who who WP 39713 3921 8 has have VBZ 39713 3921 9 made make VBN 39713 3921 10 his -PRON- PRP$ 39713 3921 11 name name NN 39713 3921 12 illustrious illustrious JJ 39713 3921 13 by by IN 39713 3921 14 important important JJ 39713 3921 15 discoveries discovery NNS 39713 3921 16 on on IN 39713 3921 17 the the DT 39713 3921 18 innervation innervation NN 39713 3921 19 of of IN 39713 3921 20 the the DT 39713 3921 21 heart heart NN 39713 3921 22 ; ; : 39713 3921 23 I -PRON- PRP 39713 3921 24 can can MD 39713 3921 25 not not RB 39713 3921 26 , , , 39713 3921 27 however however RB 39713 3921 28 , , , 39713 3921 29 agree agree VBP 39713 3921 30 with with IN 39713 3921 31 his -PRON- PRP$ 39713 3921 32 ideas idea NNS 39713 3921 33 on on IN 39713 3921 34 the the DT 39713 3921 35 question question NN 39713 3921 36 before before IN 39713 3921 37 us -PRON- PRP 39713 3921 38 . . . 39713 3922 1 Not not RB 39713 3922 2 being be VBG 39713 3922 3 a a DT 39713 3922 4 physiologist physiologist NN 39713 3922 5 , , , 39713 3922 6 I -PRON- PRP 39713 3922 7 hesitate hesitate VBP 39713 3922 8 to to TO 39713 3922 9 criticize criticize VB 39713 3922 10 the the DT 39713 3922 11 experiments experiment NNS 39713 3922 12 he -PRON- PRP 39713 3922 13 has have VBZ 39713 3922 14 directed direct VBN 39713 3922 15 against against IN 39713 3922 16 the the DT 39713 3922 17 adverse adverse JJ 39713 3922 18 theory theory NN 39713 3922 19 of of IN 39713 3922 20 Mach Mach NNP 39713 3922 21 - - HYPH 39713 3922 22 Delage Delage NNP 39713 3922 23 ; ; : 39713 3922 24 it -PRON- PRP 39713 3922 25 seems seem VBZ 39713 3922 26 to to IN 39713 3922 27 me -PRON- PRP 39713 3922 28 , , , 39713 3922 29 however however RB 39713 3922 30 , , , 39713 3922 31 that that IN 39713 3922 32 they -PRON- PRP 39713 3922 33 are be VBP 39713 3922 34 not not RB 39713 3922 35 convincing convincing JJ 39713 3922 36 , , , 39713 3922 37 because because IN 39713 3922 38 in in IN 39713 3922 39 many many JJ 39713 3922 40 of of IN 39713 3922 41 them -PRON- PRP 39713 3922 42 the the DT 39713 3922 43 _ _ NNP 39713 3922 44 total total NN 39713 3922 45 _ _ NNP 39713 3922 46 pressure pressure NN 39713 3922 47 was be VBD 39713 3922 48 made make VBN 39713 3922 49 to to TO 39713 3922 50 vary vary VB 39713 3922 51 in in IN 39713 3922 52 one one CD 39713 3922 53 of of IN 39713 3922 54 the the DT 39713 3922 55 canals canal NNS 39713 3922 56 , , , 39713 3922 57 while while IN 39713 3922 58 , , , 39713 3922 59 physiologically physiologically RB 39713 3922 60 , , , 39713 3922 61 what what WP 39713 3922 62 varies vary VBZ 39713 3922 63 is be VBZ 39713 3922 64 the the DT 39713 3922 65 _ _ NNP 39713 3922 66 difference difference NN 39713 3922 67 _ _ NNP 39713 3922 68 between between IN 39713 3922 69 the the DT 39713 3922 70 pressures pressure NNS 39713 3922 71 on on IN 39713 3922 72 the the DT 39713 3922 73 two two CD 39713 3922 74 extremities extremity NNS 39713 3922 75 of of IN 39713 3922 76 the the DT 39713 3922 77 canal canal NN 39713 3922 78 ; ; : 39713 3922 79 in in IN 39713 3922 80 others other NNS 39713 3922 81 the the DT 39713 3922 82 organs organ NNS 39713 3922 83 were be VBD 39713 3922 84 subjected subject VBN 39713 3922 85 to to IN 39713 3922 86 profound profound JJ 39713 3922 87 lesions lesion NNS 39713 3922 88 , , , 39713 3922 89 which which WDT 39713 3922 90 must must MD 39713 3922 91 alter alter VB 39713 3922 92 their -PRON- PRP$ 39713 3922 93 functions function NNS 39713 3922 94 . . . 39713 3923 1 Besides besides IN 39713 3923 2 , , , 39713 3923 3 this this DT 39713 3923 4 is be VBZ 39713 3923 5 not not RB 39713 3923 6 important important JJ 39713 3923 7 ; ; : 39713 3923 8 the the DT 39713 3923 9 experiments experiment NNS 39713 3923 10 , , , 39713 3923 11 if if IN 39713 3923 12 they -PRON- PRP 39713 3923 13 were be VBD 39713 3923 14 irreproachable irreproachable JJ 39713 3923 15 , , , 39713 3923 16 might may MD 39713 3923 17 be be VB 39713 3923 18 convincing convincing JJ 39713 3923 19 against against IN 39713 3923 20 the the DT 39713 3923 21 old old JJ 39713 3923 22 theory theory NN 39713 3923 23 . . . 39713 3924 1 They -PRON- PRP 39713 3924 2 would would MD 39713 3924 3 not not RB 39713 3924 4 be be VB 39713 3924 5 convincing convince VBG 39713 3924 6 _ _ NNP 39713 3924 7 for for IN 39713 3924 8 _ _ NNP 39713 3924 9 the the DT 39713 3924 10 new new JJ 39713 3924 11 theory theory NN 39713 3924 12 . . . 39713 3925 1 In in IN 39713 3925 2 fact fact NN 39713 3925 3 , , , 39713 3925 4 if if IN 39713 3925 5 I -PRON- PRP 39713 3925 6 have have VBP 39713 3925 7 rightly rightly RB 39713 3925 8 understood understand VBN 39713 3925 9 the the DT 39713 3925 10 theory theory NN 39713 3925 11 , , , 39713 3925 12 my -PRON- PRP$ 39713 3925 13 explaining explain VBG 39713 3925 14 it -PRON- PRP 39713 3925 15 will will MD 39713 3925 16 be be VB 39713 3925 17 enough enough JJ 39713 3925 18 for for IN 39713 3925 19 one one CD 39713 3925 20 to to TO 39713 3925 21 understand understand VB 39713 3925 22 that that IN 39713 3925 23 it -PRON- PRP 39713 3925 24 is be VBZ 39713 3925 25 impossible impossible JJ 39713 3925 26 to to TO 39713 3925 27 conceive conceive VB 39713 3925 28 of of IN 39713 3925 29 an an DT 39713 3925 30 experiment experiment NN 39713 3925 31 confirming confirm VBG 39713 3925 32 it -PRON- PRP 39713 3925 33 . . . 39713 3926 1 The the DT 39713 3926 2 three three CD 39713 3926 3 pairs pair NNS 39713 3926 4 of of IN 39713 3926 5 canals canal NNS 39713 3926 6 would would MD 39713 3926 7 have have VB 39713 3926 8 as as IN 39713 3926 9 sole sole JJ 39713 3926 10 function function NN 39713 3926 11 to to TO 39713 3926 12 tell tell VB 39713 3926 13 us -PRON- PRP 39713 3926 14 that that DT 39713 3926 15 space space NN 39713 3926 16 has have VBZ 39713 3926 17 three three CD 39713 3926 18 dimensions dimension NNS 39713 3926 19 . . . 39713 3927 1 Japanese japanese JJ 39713 3927 2 mice mouse NNS 39713 3927 3 have have VBP 39713 3927 4 only only RB 39713 3927 5 two two CD 39713 3927 6 pairs pair NNS 39713 3927 7 of of IN 39713 3927 8 canals canal NNS 39713 3927 9 ; ; : 39713 3927 10 they -PRON- PRP 39713 3927 11 believe believe VBP 39713 3927 12 , , , 39713 3927 13 it -PRON- PRP 39713 3927 14 would would MD 39713 3927 15 seem seem VB 39713 3927 16 , , , 39713 3927 17 that that DT 39713 3927 18 space space NN 39713 3927 19 has have VBZ 39713 3927 20 only only RB 39713 3927 21 two two CD 39713 3927 22 dimensions dimension NNS 39713 3927 23 , , , 39713 3927 24 and and CC 39713 3927 25 they -PRON- PRP 39713 3927 26 manifest manifest VBP 39713 3927 27 this this DT 39713 3927 28 opinion opinion NN 39713 3927 29 in in IN 39713 3927 30 the the DT 39713 3927 31 strangest strange JJS 39713 3927 32 way way NN 39713 3927 33 ; ; : 39713 3927 34 they -PRON- PRP 39713 3927 35 put put VBD 39713 3927 36 themselves -PRON- PRP 39713 3927 37 in in IN 39713 3927 38 a a DT 39713 3927 39 circle circle NN 39713 3927 40 , , , 39713 3927 41 and and CC 39713 3927 42 , , , 39713 3927 43 so so RB 39713 3927 44 ordered order VBN 39713 3927 45 , , , 39713 3927 46 they -PRON- PRP 39713 3927 47 spin spin VBP 39713 3927 48 rapidly rapidly RB 39713 3927 49 around around RB 39713 3927 50 . . . 39713 3928 1 The the DT 39713 3928 2 lampreys lamprey NNS 39713 3928 3 , , , 39713 3928 4 having have VBG 39713 3928 5 only only RB 39713 3928 6 one one CD 39713 3928 7 pair pair NN 39713 3928 8 of of IN 39713 3928 9 canals canal NNS 39713 3928 10 , , , 39713 3928 11 believe believe VBP 39713 3928 12 that that IN 39713 3928 13 space space NN 39713 3928 14 has have VBZ 39713 3928 15 only only RB 39713 3928 16 one one CD 39713 3928 17 dimension dimension NN 39713 3928 18 , , , 39713 3928 19 but but CC 39713 3928 20 their -PRON- PRP$ 39713 3928 21 manifestations manifestation NNS 39713 3928 22 are be VBP 39713 3928 23 less less RBR 39713 3928 24 turbulent turbulent JJ 39713 3928 25 . . . 39713 3929 1 It -PRON- PRP 39713 3929 2 is be VBZ 39713 3929 3 evident evident JJ 39713 3929 4 that that IN 39713 3929 5 such such PDT 39713 3929 6 a a DT 39713 3929 7 theory theory NN 39713 3929 8 is be VBZ 39713 3929 9 inadmissible inadmissible JJ 39713 3929 10 . . . 39713 3930 1 The the DT 39713 3930 2 sense sense NN 39713 3930 3 - - HYPH 39713 3930 4 organs organ NNS 39713 3930 5 are be VBP 39713 3930 6 designed design VBN 39713 3930 7 to to TO 39713 3930 8 tell tell VB 39713 3930 9 us -PRON- PRP 39713 3930 10 of of IN 39713 3930 11 _ _ NNP 39713 3930 12 changes change NNS 39713 3930 13 _ _ XX 39713 3930 14 which which WDT 39713 3930 15 happen happen VBP 39713 3930 16 in in IN 39713 3930 17 the the DT 39713 3930 18 exterior exterior NNP 39713 3930 19 world world NN 39713 3930 20 . . . 39713 3931 1 We -PRON- PRP 39713 3931 2 could could MD 39713 3931 3 not not RB 39713 3931 4 understand understand VB 39713 3931 5 why why WRB 39713 3931 6 the the DT 39713 3931 7 Creator Creator NNP 39713 3931 8 should should MD 39713 3931 9 have have VB 39713 3931 10 given give VBN 39713 3931 11 us -PRON- PRP 39713 3931 12 organs organ NNS 39713 3931 13 destined destine VBN 39713 3931 14 to to TO 39713 3931 15 cry cry VB 39713 3931 16 without without IN 39713 3931 17 cease cease NN 39713 3931 18 : : : 39713 3931 19 Remember remember VB 39713 3931 20 that that DT 39713 3931 21 space space NN 39713 3931 22 has have VBZ 39713 3931 23 three three CD 39713 3931 24 dimensions dimension NNS 39713 3931 25 , , , 39713 3931 26 since since IN 39713 3931 27 the the DT 39713 3931 28 number number NN 39713 3931 29 of of IN 39713 3931 30 these these DT 39713 3931 31 three three CD 39713 3931 32 dimensions dimension NNS 39713 3931 33 is be VBZ 39713 3931 34 not not RB 39713 3931 35 subject subject JJ 39713 3931 36 to to IN 39713 3931 37 change change NN 39713 3931 38 . . . 39713 3932 1 We -PRON- PRP 39713 3932 2 must must MD 39713 3932 3 , , , 39713 3932 4 therefore therefore RB 39713 3932 5 , , , 39713 3932 6 come come VB 39713 3932 7 back back RB 39713 3932 8 to to IN 39713 3932 9 the the DT 39713 3932 10 theory theory NN 39713 3932 11 of of IN 39713 3932 12 Mach Mach NNP 39713 3932 13 - - HYPH 39713 3932 14 Delage Delage NNP 39713 3932 15 . . . 39713 3933 1 What what WP 39713 3933 2 the the DT 39713 3933 3 nerves nerve NNS 39713 3933 4 of of IN 39713 3933 5 the the DT 39713 3933 6 canals canal NNS 39713 3933 7 can can MD 39713 3933 8 tell tell VB 39713 3933 9 us -PRON- PRP 39713 3933 10 is be VBZ 39713 3933 11 the the DT 39713 3933 12 difference difference NN 39713 3933 13 of of IN 39713 3933 14 pressure pressure NN 39713 3933 15 on on IN 39713 3933 16 the the DT 39713 3933 17 two two CD 39713 3933 18 extremities extremity NNS 39713 3933 19 of of IN 39713 3933 20 the the DT 39713 3933 21 same same JJ 39713 3933 22 canal canal NN 39713 3933 23 , , , 39713 3933 24 and and CC 39713 3933 25 thereby thereby RB 39713 3933 26 : : : 39713 3933 27 ( ( -LRB- 39713 3933 28 1 1 LS 39713 3933 29 ) ) -RRB- 39713 3933 30 the the DT 39713 3933 31 direction direction NN 39713 3933 32 of of IN 39713 3933 33 the the DT 39713 3933 34 vertical vertical JJ 39713 3933 35 with with IN 39713 3933 36 regard regard NN 39713 3933 37 to to IN 39713 3933 38 three three CD 39713 3933 39 axes axis NNS 39713 3933 40 rigidly rigidly RB 39713 3933 41 bound bind VBN 39713 3933 42 to to IN 39713 3933 43 the the DT 39713 3933 44 head head NN 39713 3933 45 ; ; , 39713 3933 46 ( ( -LRB- 39713 3933 47 2 2 LS 39713 3933 48 ) ) -RRB- 39713 3933 49 the the DT 39713 3933 50 three three CD 39713 3933 51 components component NNS 39713 3933 52 of of IN 39713 3933 53 the the DT 39713 3933 54 acceleration acceleration NN 39713 3933 55 of of IN 39713 3933 56 translation translation NN 39713 3933 57 of of IN 39713 3933 58 the the DT 39713 3933 59 center center NN 39713 3933 60 of of IN 39713 3933 61 gravity gravity NN 39713 3933 62 of of IN 39713 3933 63 the the DT 39713 3933 64 head head NN 39713 3933 65 ; ; , 39713 3933 66 ( ( -LRB- 39713 3933 67 3 3 LS 39713 3933 68 ) ) -RRB- 39713 3933 69 the the DT 39713 3933 70 centrifugal centrifugal JJ 39713 3933 71 forces force NNS 39713 3933 72 developed develop VBN 39713 3933 73 by by IN 39713 3933 74 the the DT 39713 3933 75 rotation rotation NN 39713 3933 76 of of IN 39713 3933 77 the the DT 39713 3933 78 head head NN 39713 3933 79 ; ; , 39713 3933 80 ( ( -LRB- 39713 3933 81 4 4 LS 39713 3933 82 ) ) -RRB- 39713 3933 83 the the DT 39713 3933 84 acceleration acceleration NN 39713 3933 85 of of IN 39713 3933 86 the the DT 39713 3933 87 motion motion NN 39713 3933 88 of of IN 39713 3933 89 rotation rotation NN 39713 3933 90 of of IN 39713 3933 91 the the DT 39713 3933 92 head head NN 39713 3933 93 . . . 39713 3934 1 It -PRON- PRP 39713 3934 2 follows follow VBZ 39713 3934 3 from from IN 39713 3934 4 the the DT 39713 3934 5 experiments experiment NNS 39713 3934 6 of of IN 39713 3934 7 M. M. NNP 39713 3934 8 Delage Delage NNP 39713 3934 9 that that IN 39713 3934 10 it -PRON- PRP 39713 3934 11 is be VBZ 39713 3934 12 this this DT 39713 3934 13 last last JJ 39713 3934 14 indication indication NN 39713 3934 15 which which WDT 39713 3934 16 is be VBZ 39713 3934 17 much much RB 39713 3934 18 the the DT 39713 3934 19 most most RBS 39713 3934 20 important important JJ 39713 3934 21 ; ; : 39713 3934 22 doubtless doubtless RB 39713 3934 23 because because IN 39713 3934 24 the the DT 39713 3934 25 nerves nerve NNS 39713 3934 26 are be VBP 39713 3934 27 less less RBR 39713 3934 28 sensible sensible JJ 39713 3934 29 to to IN 39713 3934 30 the the DT 39713 3934 31 difference difference NN 39713 3934 32 of of IN 39713 3934 33 pressure pressure NN 39713 3934 34 itself -PRON- PRP 39713 3934 35 than than IN 39713 3934 36 to to IN 39713 3934 37 the the DT 39713 3934 38 brusque brusque NN 39713 3934 39 variations variation NNS 39713 3934 40 of of IN 39713 3934 41 this this DT 39713 3934 42 difference difference NN 39713 3934 43 . . . 39713 3935 1 The the DT 39713 3935 2 first first JJ 39713 3935 3 three three CD 39713 3935 4 indications indication NNS 39713 3935 5 may may MD 39713 3935 6 thus thus RB 39713 3935 7 be be VB 39713 3935 8 neglected neglect VBN 39713 3935 9 . . . 39713 3936 1 Knowing know VBG 39713 3936 2 the the DT 39713 3936 3 acceleration acceleration NN 39713 3936 4 of of IN 39713 3936 5 the the DT 39713 3936 6 motion motion NN 39713 3936 7 of of IN 39713 3936 8 rotation rotation NN 39713 3936 9 of of IN 39713 3936 10 the the DT 39713 3936 11 head head NN 39713 3936 12 at at IN 39713 3936 13 each each DT 39713 3936 14 instant instant NN 39713 3936 15 , , , 39713 3936 16 we -PRON- PRP 39713 3936 17 deduce deduce VBP 39713 3936 18 from from IN 39713 3936 19 it -PRON- PRP 39713 3936 20 , , , 39713 3936 21 by by IN 39713 3936 22 an an DT 39713 3936 23 unconscious unconscious JJ 39713 3936 24 integration integration NN 39713 3936 25 , , , 39713 3936 26 the the DT 39713 3936 27 final final JJ 39713 3936 28 orientation orientation NN 39713 3936 29 of of IN 39713 3936 30 the the DT 39713 3936 31 head head NN 39713 3936 32 , , , 39713 3936 33 referred refer VBD 39713 3936 34 to to IN 39713 3936 35 a a DT 39713 3936 36 certain certain JJ 39713 3936 37 initial initial JJ 39713 3936 38 orientation orientation NN 39713 3936 39 taken take VBN 39713 3936 40 as as IN 39713 3936 41 origin origin NN 39713 3936 42 . . . 39713 3937 1 The the DT 39713 3937 2 circular circular JJ 39713 3937 3 canals canal NNS 39713 3937 4 contribute contribute VBP 39713 3937 5 , , , 39713 3937 6 therefore therefore RB 39713 3937 7 , , , 39713 3937 8 to to TO 39713 3937 9 inform inform VB 39713 3937 10 us -PRON- PRP 39713 3937 11 of of IN 39713 3937 12 the the DT 39713 3937 13 movements movement NNS 39713 3937 14 that that WDT 39713 3937 15 we -PRON- PRP 39713 3937 16 have have VBP 39713 3937 17 executed execute VBN 39713 3937 18 , , , 39713 3937 19 and and CC 39713 3937 20 that that IN 39713 3937 21 on on IN 39713 3937 22 the the DT 39713 3937 23 same same JJ 39713 3937 24 ground ground NN 39713 3937 25 as as IN 39713 3937 26 the the DT 39713 3937 27 muscular muscular JJ 39713 3937 28 sensations sensation NNS 39713 3937 29 . . . 39713 3938 1 When when WRB 39713 3938 2 , , , 39713 3938 3 therefore therefore RB 39713 3938 4 , , , 39713 3938 5 above above IN 39713 3938 6 we -PRON- PRP 39713 3938 7 speak speak VBP 39713 3938 8 of of IN 39713 3938 9 the the DT 39713 3938 10 series series NN 39713 3938 11 _ _ NNP 39713 3938 12 S S NNP 39713 3938 13 _ _ NNP 39713 3938 14 or or CC 39713 3938 15 of of IN 39713 3938 16 the the DT 39713 3938 17 series series NN 39713 3938 18 [ [ -LRB- 39713 3938 19 Sigma Sigma NNP 39713 3938 20 ] ] -RRB- 39713 3938 21 , , , 39713 3938 22 we -PRON- PRP 39713 3938 23 should should MD 39713 3938 24 say say VB 39713 3938 25 , , , 39713 3938 26 not not RB 39713 3938 27 that that IN 39713 3938 28 these these DT 39713 3938 29 were be VBD 39713 3938 30 series series NN 39713 3938 31 of of IN 39713 3938 32 muscular muscular JJ 39713 3938 33 sensations sensation NNS 39713 3938 34 alone alone RB 39713 3938 35 , , , 39713 3938 36 but but CC 39713 3938 37 that that IN 39713 3938 38 they -PRON- PRP 39713 3938 39 were be VBD 39713 3938 40 series series NN 39713 3938 41 at at IN 39713 3938 42 the the DT 39713 3938 43 same same JJ 39713 3938 44 time time NN 39713 3938 45 of of IN 39713 3938 46 muscular muscular JJ 39713 3938 47 sensations sensation NNS 39713 3938 48 and and CC 39713 3938 49 of of IN 39713 3938 50 sensations sensation NNS 39713 3938 51 due due IN 39713 3938 52 to to IN 39713 3938 53 the the DT 39713 3938 54 semicircular semicircular JJ 39713 3938 55 canals canal NNS 39713 3938 56 . . . 39713 3939 1 Apart apart RB 39713 3939 2 from from IN 39713 3939 3 this this DT 39713 3939 4 addition addition NN 39713 3939 5 , , , 39713 3939 6 we -PRON- PRP 39713 3939 7 should should MD 39713 3939 8 have have VB 39713 3939 9 nothing nothing NN 39713 3939 10 to to TO 39713 3939 11 change change VB 39713 3939 12 in in IN 39713 3939 13 what what WP 39713 3939 14 precedes precede NNS 39713 3939 15 . . . 39713 3940 1 In in IN 39713 3940 2 the the DT 39713 3940 3 series series NN 39713 3940 4 _ _ NNP 39713 3940 5 S S NNP 39713 3940 6 _ _ NNP 39713 3940 7 and and CC 39713 3940 8 [ [ -LRB- 39713 3940 9 Sigma Sigma NNP 39713 3940 10 ] ] -RRB- 39713 3940 11 , , , 39713 3940 12 these these DT 39713 3940 13 sensations sensation NNS 39713 3940 14 of of IN 39713 3940 15 the the DT 39713 3940 16 semicircular semicircular JJ 39713 3940 17 canals canal NNS 39713 3940 18 evidently evidently RB 39713 3940 19 hold hold VBP 39713 3940 20 a a DT 39713 3940 21 very very RB 39713 3940 22 important important JJ 39713 3940 23 place place NN 39713 3940 24 . . . 39713 3941 1 Yet yet RB 39713 3941 2 alone alone RB 39713 3941 3 they -PRON- PRP 39713 3941 4 would would MD 39713 3941 5 not not RB 39713 3941 6 suffice suffice VB 39713 3941 7 , , , 39713 3941 8 because because IN 39713 3941 9 they -PRON- PRP 39713 3941 10 can can MD 39713 3941 11 tell tell VB 39713 3941 12 us -PRON- PRP 39713 3941 13 only only RB 39713 3941 14 of of IN 39713 3941 15 the the DT 39713 3941 16 movements movement NNS 39713 3941 17 of of IN 39713 3941 18 the the DT 39713 3941 19 head head NN 39713 3941 20 ; ; : 39713 3941 21 they -PRON- PRP 39713 3941 22 tell tell VBP 39713 3941 23 us -PRON- PRP 39713 3941 24 nothing nothing NN 39713 3941 25 of of IN 39713 3941 26 the the DT 39713 3941 27 relative relative JJ 39713 3941 28 movements movement NNS 39713 3941 29 of of IN 39713 3941 30 the the DT 39713 3941 31 body body NN 39713 3941 32 or or CC 39713 3941 33 of of IN 39713 3941 34 the the DT 39713 3941 35 members member NNS 39713 3941 36 in in IN 39713 3941 37 regard regard NN 39713 3941 38 to to IN 39713 3941 39 the the DT 39713 3941 40 head head NN 39713 3941 41 . . . 39713 3942 1 And and CC 39713 3942 2 more more RBR 39713 3942 3 , , , 39713 3942 4 it -PRON- PRP 39713 3942 5 seems seem VBZ 39713 3942 6 that that IN 39713 3942 7 they -PRON- PRP 39713 3942 8 tell tell VBP 39713 3942 9 us -PRON- PRP 39713 3942 10 only only RB 39713 3942 11 of of IN 39713 3942 12 the the DT 39713 3942 13 rotations rotation NNS 39713 3942 14 of of IN 39713 3942 15 the the DT 39713 3942 16 head head NN 39713 3942 17 and and CC 39713 3942 18 not not RB 39713 3942 19 of of IN 39713 3942 20 the the DT 39713 3942 21 translations translation NNS 39713 3942 22 it -PRON- PRP 39713 3942 23 may may MD 39713 3942 24 undergo undergo VB 39713 3942 25 . . . 39713 3943 1 PART PART NNP 39713 3943 2 II II NNP 39713 3943 3 THE the DT 39713 3943 4 PHYSICAL PHYSICAL NNP 39713 3943 5 SCIENCES SCIENCES NNP 39713 3943 6 CHAPTER chapter NN 39713 3943 7 V V NNP 39713 3943 8 ANALYSIS analysis NN 39713 3943 9 AND and CC 39713 3943 10 PHYSICS physics NN 39713 3943 11 I -PRON- PRP 39713 3943 12 You -PRON- PRP 39713 3943 13 have have VBP 39713 3943 14 doubtless doubtless RB 39713 3943 15 often often RB 39713 3943 16 been be VBN 39713 3943 17 asked ask VBN 39713 3943 18 of of IN 39713 3943 19 what what WP 39713 3943 20 good good NN 39713 3943 21 is be VBZ 39713 3943 22 mathematics mathematic NNS 39713 3943 23 and and CC 39713 3943 24 whether whether IN 39713 3943 25 these these DT 39713 3943 26 delicate delicate JJ 39713 3943 27 constructions construction NNS 39713 3943 28 entirely entirely RB 39713 3943 29 mind mind NN 39713 3943 30 - - HYPH 39713 3943 31 made make VBN 39713 3943 32 are be VBP 39713 3943 33 not not RB 39713 3943 34 artificial artificial JJ 39713 3943 35 and and CC 39713 3943 36 born bear VBN 39713 3943 37 of of IN 39713 3943 38 our -PRON- PRP$ 39713 3943 39 caprice caprice NN 39713 3943 40 . . . 39713 3944 1 Among among IN 39713 3944 2 those those DT 39713 3944 3 who who WP 39713 3944 4 put put VBP 39713 3944 5 this this DT 39713 3944 6 question question NN 39713 3944 7 I -PRON- PRP 39713 3944 8 should should MD 39713 3944 9 make make VB 39713 3944 10 a a DT 39713 3944 11 distinction distinction NN 39713 3944 12 ; ; : 39713 3944 13 practical practical JJ 39713 3944 14 people people NNS 39713 3944 15 ask ask VBP 39713 3944 16 of of IN 39713 3944 17 us -PRON- PRP 39713 3944 18 only only RB 39713 3944 19 the the DT 39713 3944 20 means mean NNS 39713 3944 21 of of IN 39713 3944 22 money money NN 39713 3944 23 - - HYPH 39713 3944 24 making making NN 39713 3944 25 . . . 39713 3945 1 These these DT 39713 3945 2 merit merit NN 39713 3945 3 no no DT 39713 3945 4 reply reply NN 39713 3945 5 ; ; : 39713 3945 6 rather rather RB 39713 3945 7 would would MD 39713 3945 8 it -PRON- PRP 39713 3945 9 be be VB 39713 3945 10 proper proper JJ 39713 3945 11 to to TO 39713 3945 12 ask ask VB 39713 3945 13 of of IN 39713 3945 14 them -PRON- PRP 39713 3945 15 what what WP 39713 3945 16 is be VBZ 39713 3945 17 the the DT 39713 3945 18 good good NN 39713 3945 19 of of IN 39713 3945 20 accumulating accumulate VBG 39713 3945 21 so so RB 39713 3945 22 much much JJ 39713 3945 23 wealth wealth NN 39713 3945 24 and and CC 39713 3945 25 whether whether IN 39713 3945 26 , , , 39713 3945 27 to to TO 39713 3945 28 get get VB 39713 3945 29 time time NN 39713 3945 30 to to TO 39713 3945 31 acquire acquire VB 39713 3945 32 it -PRON- PRP 39713 3945 33 , , , 39713 3945 34 we -PRON- PRP 39713 3945 35 are be VBP 39713 3945 36 to to TO 39713 3945 37 neglect neglect VB 39713 3945 38 art art NN 39713 3945 39 and and CC 39713 3945 40 science science NN 39713 3945 41 , , , 39713 3945 42 which which WDT 39713 3945 43 alone alone RB 39713 3945 44 give give VBP 39713 3945 45 us -PRON- PRP 39713 3945 46 souls soul NNS 39713 3945 47 capable capable JJ 39713 3945 48 of of IN 39713 3945 49 enjoying enjoy VBG 39713 3945 50 it -PRON- PRP 39713 3945 51 , , , 39713 3945 52 ' ' '' 39713 3945 53 and and CC 39713 3945 54 for for IN 39713 3945 55 life life NN 39713 3945 56 's 's POS 39713 3945 57 sake sake NN 39713 3945 58 to to TO 39713 3945 59 sacrifice sacrifice VB 39713 3945 60 all all DT 39713 3945 61 reasons reason NNS 39713 3945 62 for for IN 39713 3945 63 living living NN 39713 3945 64 . . . 39713 3945 65 ' ' '' 39713 3946 1 Besides besides RB 39713 3946 2 , , , 39713 3946 3 a a DT 39713 3946 4 science science NN 39713 3946 5 made make VBN 39713 3946 6 solely solely RB 39713 3946 7 in in IN 39713 3946 8 view view NN 39713 3946 9 of of IN 39713 3946 10 applications application NNS 39713 3946 11 is be VBZ 39713 3946 12 impossible impossible JJ 39713 3946 13 ; ; : 39713 3946 14 truths truth NNS 39713 3946 15 are be VBP 39713 3946 16 fecund fecund VBN 39713 3946 17 only only RB 39713 3946 18 if if IN 39713 3946 19 bound bind VBN 39713 3946 20 together together RB 39713 3946 21 . . . 39713 3947 1 If if IN 39713 3947 2 we -PRON- PRP 39713 3947 3 devote devote VBP 39713 3947 4 ourselves -PRON- PRP 39713 3947 5 solely solely RB 39713 3947 6 to to IN 39713 3947 7 those those DT 39713 3947 8 truths truth NNS 39713 3947 9 whence whence NN 39713 3947 10 we -PRON- PRP 39713 3947 11 expect expect VBP 39713 3947 12 an an DT 39713 3947 13 immediate immediate JJ 39713 3947 14 result result NN 39713 3947 15 , , , 39713 3947 16 the the DT 39713 3947 17 intermediary intermediary JJ 39713 3947 18 links link NNS 39713 3947 19 are be VBP 39713 3947 20 wanting want VBG 39713 3947 21 and and CC 39713 3947 22 there there EX 39713 3947 23 will will MD 39713 3947 24 no no RB 39713 3947 25 longer longer RB 39713 3947 26 be be VB 39713 3947 27 a a DT 39713 3947 28 chain chain NN 39713 3947 29 . . . 39713 3948 1 The the DT 39713 3948 2 men man NNS 39713 3948 3 most most RBS 39713 3948 4 disdainful disdainful JJ 39713 3948 5 of of IN 39713 3948 6 theory theory NN 39713 3948 7 get get VB 39713 3948 8 from from IN 39713 3948 9 it -PRON- PRP 39713 3948 10 , , , 39713 3948 11 without without IN 39713 3948 12 suspecting suspect VBG 39713 3948 13 it -PRON- PRP 39713 3948 14 , , , 39713 3948 15 their -PRON- PRP$ 39713 3948 16 daily daily JJ 39713 3948 17 bread bread NN 39713 3948 18 ; ; , 39713 3948 19 deprived deprive VBN 39713 3948 20 of of IN 39713 3948 21 this this DT 39713 3948 22 food food NN 39713 3948 23 , , , 39713 3948 24 progress progress NN 39713 3948 25 would would MD 39713 3948 26 quickly quickly RB 39713 3948 27 cease cease VB 39713 3948 28 , , , 39713 3948 29 and and CC 39713 3948 30 we -PRON- PRP 39713 3948 31 should should MD 39713 3948 32 soon soon RB 39713 3948 33 congeal congeal VB 39713 3948 34 into into IN 39713 3948 35 the the DT 39713 3948 36 immobility immobility NN 39713 3948 37 of of IN 39713 3948 38 old old JJ 39713 3948 39 China China NNP 39713 3948 40 . . . 39713 3949 1 But but CC 39713 3949 2 enough enough JJ 39713 3949 3 of of IN 39713 3949 4 uncompromising uncompromise VBG 39713 3949 5 practicians practician NNS 39713 3949 6 ! ! . 39713 3950 1 Besides besides IN 39713 3950 2 these these DT 39713 3950 3 , , , 39713 3950 4 there there EX 39713 3950 5 are be VBP 39713 3950 6 those those DT 39713 3950 7 who who WP 39713 3950 8 are be VBP 39713 3950 9 only only RB 39713 3950 10 interested interested JJ 39713 3950 11 in in IN 39713 3950 12 nature nature NN 39713 3950 13 and and CC 39713 3950 14 who who WP 39713 3950 15 ask ask VBP 39713 3950 16 us -PRON- PRP 39713 3950 17 if if IN 39713 3950 18 we -PRON- PRP 39713 3950 19 can can MD 39713 3950 20 enable enable VB 39713 3950 21 them -PRON- PRP 39713 3950 22 to to TO 39713 3950 23 know know VB 39713 3950 24 it -PRON- PRP 39713 3950 25 better well RBR 39713 3950 26 . . . 39713 3951 1 To to TO 39713 3951 2 answer answer VB 39713 3951 3 these these DT 39713 3951 4 , , , 39713 3951 5 we -PRON- PRP 39713 3951 6 have have VBP 39713 3951 7 only only RB 39713 3951 8 to to TO 39713 3951 9 show show VB 39713 3951 10 them -PRON- PRP 39713 3951 11 the the DT 39713 3951 12 two two CD 39713 3951 13 monuments monument NNS 39713 3951 14 already already RB 39713 3951 15 rough rough JJ 39713 3951 16 - - HYPH 39713 3951 17 hewn hew VBN 39713 3951 18 , , , 39713 3951 19 Celestial Celestial NNP 39713 3951 20 Mechanics Mechanics NNPS 39713 3951 21 and and CC 39713 3951 22 Mathematical Mathematical NNP 39713 3951 23 Physics Physics NNP 39713 3951 24 . . . 39713 3952 1 They -PRON- PRP 39713 3952 2 would would MD 39713 3952 3 doubtless doubtless RB 39713 3952 4 concede concede VB 39713 3952 5 that that IN 39713 3952 6 these these DT 39713 3952 7 structures structure NNS 39713 3952 8 are be VBP 39713 3952 9 well well RB 39713 3952 10 worth worth JJ 39713 3952 11 the the DT 39713 3952 12 trouble trouble NN 39713 3952 13 they -PRON- PRP 39713 3952 14 have have VBP 39713 3952 15 cost cost VBN 39713 3952 16 us -PRON- PRP 39713 3952 17 . . . 39713 3953 1 But but CC 39713 3953 2 this this DT 39713 3953 3 is be VBZ 39713 3953 4 not not RB 39713 3953 5 enough enough JJ 39713 3953 6 . . . 39713 3954 1 Mathematics mathematic NNS 39713 3954 2 has have VBZ 39713 3954 3 a a DT 39713 3954 4 triple triple JJ 39713 3954 5 aim aim NN 39713 3954 6 . . . 39713 3955 1 It -PRON- PRP 39713 3955 2 must must MD 39713 3955 3 furnish furnish VB 39713 3955 4 an an DT 39713 3955 5 instrument instrument NN 39713 3955 6 for for IN 39713 3955 7 the the DT 39713 3955 8 study study NN 39713 3955 9 of of IN 39713 3955 10 nature nature NN 39713 3955 11 . . . 39713 3956 1 But but CC 39713 3956 2 that that DT 39713 3956 3 is be VBZ 39713 3956 4 not not RB 39713 3956 5 all all DT 39713 3956 6 : : : 39713 3956 7 it -PRON- PRP 39713 3956 8 has have VBZ 39713 3956 9 a a DT 39713 3956 10 philosophic philosophic JJ 39713 3956 11 aim aim NN 39713 3956 12 and and CC 39713 3956 13 , , , 39713 3956 14 I -PRON- PRP 39713 3956 15 dare dare VBP 39713 3956 16 maintain maintain VB 39713 3956 17 , , , 39713 3956 18 an an DT 39713 3956 19 esthetic esthetic JJ 39713 3956 20 aim aim NN 39713 3956 21 . . . 39713 3957 1 It -PRON- PRP 39713 3957 2 must must MD 39713 3957 3 aid aid VB 39713 3957 4 the the DT 39713 3957 5 philosopher philosopher NN 39713 3957 6 to to TO 39713 3957 7 fathom fathom VB 39713 3957 8 the the DT 39713 3957 9 notions notion NNS 39713 3957 10 of of IN 39713 3957 11 number number NN 39713 3957 12 , , , 39713 3957 13 of of IN 39713 3957 14 space space NN 39713 3957 15 , , , 39713 3957 16 of of IN 39713 3957 17 time time NN 39713 3957 18 . . . 39713 3958 1 And and CC 39713 3958 2 above above IN 39713 3958 3 all all DT 39713 3958 4 , , , 39713 3958 5 its -PRON- PRP$ 39713 3958 6 adepts adept NNS 39713 3958 7 find find VBP 39713 3958 8 therein therein RB 39713 3958 9 delights delight VBZ 39713 3958 10 analogous analogous JJ 39713 3958 11 to to IN 39713 3958 12 those those DT 39713 3958 13 given give VBN 39713 3958 14 by by IN 39713 3958 15 painting painting NN 39713 3958 16 and and CC 39713 3958 17 music music NN 39713 3958 18 . . . 39713 3959 1 They -PRON- PRP 39713 3959 2 admire admire VBP 39713 3959 3 the the DT 39713 3959 4 delicate delicate JJ 39713 3959 5 harmony harmony NN 39713 3959 6 of of IN 39713 3959 7 numbers number NNS 39713 3959 8 and and CC 39713 3959 9 forms form NNS 39713 3959 10 ; ; : 39713 3959 11 they -PRON- PRP 39713 3959 12 marvel marvel VBP 39713 3959 13 when when WRB 39713 3959 14 a a DT 39713 3959 15 new new JJ 39713 3959 16 discovery discovery NN 39713 3959 17 opens open VBZ 39713 3959 18 to to IN 39713 3959 19 them -PRON- PRP 39713 3959 20 an an DT 39713 3959 21 unexpected unexpected JJ 39713 3959 22 perspective perspective NN 39713 3959 23 ; ; : 39713 3959 24 and and CC 39713 3959 25 has have VBZ 39713 3959 26 not not RB 39713 3959 27 the the DT 39713 3959 28 joy joy NN 39713 3959 29 they -PRON- PRP 39713 3959 30 thus thus RB 39713 3959 31 feel feel VBP 39713 3959 32 the the DT 39713 3959 33 esthetic esthetic JJ 39713 3959 34 character character NN 39713 3959 35 , , , 39713 3959 36 even even RB 39713 3959 37 though though IN 39713 3959 38 the the DT 39713 3959 39 senses sense NNS 39713 3959 40 take take VBP 39713 3959 41 no no DT 39713 3959 42 part part NN 39713 3959 43 therein therein RB 39713 3959 44 ? ? . 39713 3960 1 Only only RB 39713 3960 2 a a DT 39713 3960 3 privileged privileged JJ 39713 3960 4 few few JJ 39713 3960 5 are be VBP 39713 3960 6 called call VBN 39713 3960 7 to to TO 39713 3960 8 enjoy enjoy VB 39713 3960 9 it -PRON- PRP 39713 3960 10 fully fully RB 39713 3960 11 , , , 39713 3960 12 it -PRON- PRP 39713 3960 13 is be VBZ 39713 3960 14 true true JJ 39713 3960 15 , , , 39713 3960 16 but but CC 39713 3960 17 is be VBZ 39713 3960 18 not not RB 39713 3960 19 this this DT 39713 3960 20 the the DT 39713 3960 21 case case NN 39713 3960 22 for for IN 39713 3960 23 all all PDT 39713 3960 24 the the DT 39713 3960 25 noblest noble JJS 39713 3960 26 arts art NNS 39713 3960 27 ? ? . 39713 3961 1 This this DT 39713 3961 2 is be VBZ 39713 3961 3 why why WRB 39713 3961 4 I -PRON- PRP 39713 3961 5 do do VBP 39713 3961 6 not not RB 39713 3961 7 hesitate hesitate VB 39713 3961 8 to to TO 39713 3961 9 say say VB 39713 3961 10 that that IN 39713 3961 11 mathematics mathematic NNS 39713 3961 12 deserves deserve VBZ 39713 3961 13 to to TO 39713 3961 14 be be VB 39713 3961 15 cultivated cultivate VBN 39713 3961 16 for for IN 39713 3961 17 its -PRON- PRP$ 39713 3961 18 own own JJ 39713 3961 19 sake sake NN 39713 3961 20 , , , 39713 3961 21 and and CC 39713 3961 22 the the DT 39713 3961 23 theories theory NNS 39713 3961 24 inapplicable inapplicable JJ 39713 3961 25 to to IN 39713 3961 26 physics physics NN 39713 3961 27 as as RB 39713 3961 28 well well RB 39713 3961 29 as as IN 39713 3961 30 the the DT 39713 3961 31 others other NNS 39713 3961 32 . . . 39713 3962 1 Even even RB 39713 3962 2 if if IN 39713 3962 3 the the DT 39713 3962 4 physical physical JJ 39713 3962 5 aim aim NN 39713 3962 6 and and CC 39713 3962 7 the the DT 39713 3962 8 esthetic esthetic JJ 39713 3962 9 aim aim NN 39713 3962 10 were be VBD 39713 3962 11 not not RB 39713 3962 12 united united JJ 39713 3962 13 , , , 39713 3962 14 we -PRON- PRP 39713 3962 15 ought ought MD 39713 3962 16 not not RB 39713 3962 17 to to TO 39713 3962 18 sacrifice sacrifice VB 39713 3962 19 either either RB 39713 3962 20 . . . 39713 3963 1 But but CC 39713 3963 2 more more RBR 39713 3963 3 : : : 39713 3963 4 these these DT 39713 3963 5 two two CD 39713 3963 6 aims aim NNS 39713 3963 7 are be VBP 39713 3963 8 inseparable inseparable JJ 39713 3963 9 and and CC 39713 3963 10 the the DT 39713 3963 11 best good JJS 39713 3963 12 means mean NNS 39713 3963 13 of of IN 39713 3963 14 attaining attain VBG 39713 3963 15 one one CD 39713 3963 16 is be VBZ 39713 3963 17 to to TO 39713 3963 18 aim aim VB 39713 3963 19 at at IN 39713 3963 20 the the DT 39713 3963 21 other other JJ 39713 3963 22 , , , 39713 3963 23 or or CC 39713 3963 24 at at IN 39713 3963 25 least least JJS 39713 3963 26 never never RB 39713 3963 27 to to TO 39713 3963 28 lose lose VB 39713 3963 29 sight sight NN 39713 3963 30 of of IN 39713 3963 31 it -PRON- PRP 39713 3963 32 . . . 39713 3964 1 This this DT 39713 3964 2 is be VBZ 39713 3964 3 what what WP 39713 3964 4 I -PRON- PRP 39713 3964 5 am be VBP 39713 3964 6 about about JJ 39713 3964 7 to to TO 39713 3964 8 try try VB 39713 3964 9 to to TO 39713 3964 10 demonstrate demonstrate VB 39713 3964 11 in in IN 39713 3964 12 setting set VBG 39713 3964 13 forth forth RP 39713 3964 14 the the DT 39713 3964 15 nature nature NN 39713 3964 16 of of IN 39713 3964 17 the the DT 39713 3964 18 relations relation NNS 39713 3964 19 between between IN 39713 3964 20 the the DT 39713 3964 21 pure pure JJ 39713 3964 22 science science NN 39713 3964 23 and and CC 39713 3964 24 its -PRON- PRP$ 39713 3964 25 applications application NNS 39713 3964 26 . . . 39713 3965 1 The the DT 39713 3965 2 mathematician mathematician NN 39713 3965 3 should should MD 39713 3965 4 not not RB 39713 3965 5 be be VB 39713 3965 6 for for IN 39713 3965 7 the the DT 39713 3965 8 physicist physicist NN 39713 3965 9 a a DT 39713 3965 10 mere mere JJ 39713 3965 11 purveyor purveyor NN 39713 3965 12 of of IN 39713 3965 13 formulas formula NNS 39713 3965 14 ; ; : 39713 3965 15 there there EX 39713 3965 16 should should MD 39713 3965 17 be be VB 39713 3965 18 between between IN 39713 3965 19 them -PRON- PRP 39713 3965 20 a a DT 39713 3965 21 more more RBR 39713 3965 22 intimate intimate JJ 39713 3965 23 collaboration collaboration NN 39713 3965 24 . . . 39713 3966 1 Mathematical mathematical JJ 39713 3966 2 physics physics NN 39713 3966 3 and and CC 39713 3966 4 pure pure JJ 39713 3966 5 analysis analysis NN 39713 3966 6 are be VBP 39713 3966 7 not not RB 39713 3966 8 merely merely RB 39713 3966 9 adjacent adjacent JJ 39713 3966 10 powers power NNS 39713 3966 11 , , , 39713 3966 12 maintaining maintain VBG 39713 3966 13 good good JJ 39713 3966 14 neighborly neighborly JJ 39713 3966 15 relations relation NNS 39713 3966 16 ; ; : 39713 3966 17 they -PRON- PRP 39713 3966 18 mutually mutually RB 39713 3966 19 interpenetrate interpenetrate VBP 39713 3966 20 and and CC 39713 3966 21 their -PRON- PRP$ 39713 3966 22 spirit spirit NN 39713 3966 23 is be VBZ 39713 3966 24 the the DT 39713 3966 25 same same JJ 39713 3966 26 . . . 39713 3967 1 This this DT 39713 3967 2 will will MD 39713 3967 3 be be VB 39713 3967 4 better well RBR 39713 3967 5 understood understand VBN 39713 3967 6 when when WRB 39713 3967 7 I -PRON- PRP 39713 3967 8 have have VBP 39713 3967 9 shown show VBN 39713 3967 10 what what WP 39713 3967 11 physics physics NN 39713 3967 12 gets get VBZ 39713 3967 13 from from IN 39713 3967 14 mathematics mathematic NNS 39713 3967 15 and and CC 39713 3967 16 what what WP 39713 3967 17 mathematics mathematic NNS 39713 3967 18 , , , 39713 3967 19 in in IN 39713 3967 20 return return NN 39713 3967 21 , , , 39713 3967 22 borrows borrow VBZ 39713 3967 23 from from IN 39713 3967 24 physics physics NN 39713 3967 25 . . . 39713 3968 1 II II NNP 39713 3968 2 The the DT 39713 3968 3 physicist physicist NN 39713 3968 4 can can MD 39713 3968 5 not not RB 39713 3968 6 ask ask VB 39713 3968 7 of of IN 39713 3968 8 the the DT 39713 3968 9 analyst analyst NN 39713 3968 10 to to TO 39713 3968 11 reveal reveal VB 39713 3968 12 to to IN 39713 3968 13 him -PRON- PRP 39713 3968 14 a a DT 39713 3968 15 new new JJ 39713 3968 16 truth truth NN 39713 3968 17 ; ; : 39713 3968 18 the the DT 39713 3968 19 latter latter JJ 39713 3968 20 could could MD 39713 3968 21 at at IN 39713 3968 22 most most RBS 39713 3968 23 only only RB 39713 3968 24 aid aid VB 39713 3968 25 him -PRON- PRP 39713 3968 26 to to TO 39713 3968 27 foresee foresee VB 39713 3968 28 it -PRON- PRP 39713 3968 29 . . . 39713 3969 1 It -PRON- PRP 39713 3969 2 is be VBZ 39713 3969 3 a a DT 39713 3969 4 long long JJ 39713 3969 5 time time NN 39713 3969 6 since since IN 39713 3969 7 one one CD 39713 3969 8 still still RB 39713 3969 9 dreamt dreamt NN 39713 3969 10 of of IN 39713 3969 11 forestalling forestalling JJ 39713 3969 12 experiment experiment NN 39713 3969 13 , , , 39713 3969 14 or or CC 39713 3969 15 of of IN 39713 3969 16 constructing construct VBG 39713 3969 17 the the DT 39713 3969 18 entire entire JJ 39713 3969 19 world world NN 39713 3969 20 on on IN 39713 3969 21 certain certain JJ 39713 3969 22 premature premature JJ 39713 3969 23 hypotheses hypothesis NNS 39713 3969 24 . . . 39713 3970 1 Since since IN 39713 3970 2 all all PDT 39713 3970 3 those those DT 39713 3970 4 constructions construction NNS 39713 3970 5 in in IN 39713 3970 6 which which WDT 39713 3970 7 one one NN 39713 3970 8 yet yet RB 39713 3970 9 took take VBD 39713 3970 10 a a DT 39713 3970 11 naïve naïve JJ 39713 3970 12 delight delight NN 39713 3970 13 it -PRON- PRP 39713 3970 14 is be VBZ 39713 3970 15 an an DT 39713 3970 16 age age NN 39713 3970 17 , , , 39713 3970 18 to to IN 39713 3970 19 - - HYPH 39713 3970 20 day day NN 39713 3970 21 only only RB 39713 3970 22 their -PRON- PRP$ 39713 3970 23 ruins ruin NNS 39713 3970 24 remain remain VBP 39713 3970 25 . . . 39713 3971 1 All all DT 39713 3971 2 laws law NNS 39713 3971 3 are be VBP 39713 3971 4 therefore therefore RB 39713 3971 5 deduced deduce VBN 39713 3971 6 from from IN 39713 3971 7 experiment experiment NN 39713 3971 8 ; ; : 39713 3971 9 but but CC 39713 3971 10 to to TO 39713 3971 11 enunciate enunciate VB 39713 3971 12 them -PRON- PRP 39713 3971 13 , , , 39713 3971 14 a a DT 39713 3971 15 special special JJ 39713 3971 16 language language NN 39713 3971 17 is be VBZ 39713 3971 18 needful needful JJ 39713 3971 19 ; ; : 39713 3971 20 ordinary ordinary JJ 39713 3971 21 language language NN 39713 3971 22 is be VBZ 39713 3971 23 too too RB 39713 3971 24 poor poor JJ 39713 3971 25 , , , 39713 3971 26 it -PRON- PRP 39713 3971 27 is be VBZ 39713 3971 28 besides besides RB 39713 3971 29 too too RB 39713 3971 30 vague vague JJ 39713 3971 31 , , , 39713 3971 32 to to TO 39713 3971 33 express express VB 39713 3971 34 relations relation NNS 39713 3971 35 so so RB 39713 3971 36 delicate delicate JJ 39713 3971 37 , , , 39713 3971 38 so so RB 39713 3971 39 rich rich JJ 39713 3971 40 , , , 39713 3971 41 and and CC 39713 3971 42 so so RB 39713 3971 43 precise precise JJ 39713 3971 44 . . . 39713 3972 1 This this DT 39713 3972 2 therefore therefore RB 39713 3972 3 is be VBZ 39713 3972 4 one one CD 39713 3972 5 reason reason NN 39713 3972 6 why why WRB 39713 3972 7 the the DT 39713 3972 8 physicist physicist NN 39713 3972 9 can can MD 39713 3972 10 not not RB 39713 3972 11 do do VB 39713 3972 12 without without IN 39713 3972 13 mathematics mathematic NNS 39713 3972 14 ; ; : 39713 3972 15 it -PRON- PRP 39713 3972 16 furnishes furnish VBZ 39713 3972 17 him -PRON- PRP 39713 3972 18 the the DT 39713 3972 19 only only JJ 39713 3972 20 language language NN 39713 3972 21 he -PRON- PRP 39713 3972 22 can can MD 39713 3972 23 speak speak VB 39713 3972 24 . . . 39713 3973 1 And and CC 39713 3973 2 a a DT 39713 3973 3 well well RB 39713 3973 4 - - HYPH 39713 3973 5 made make VBN 39713 3973 6 language language NN 39713 3973 7 is be VBZ 39713 3973 8 no no DT 39713 3973 9 indifferent indifferent JJ 39713 3973 10 thing thing NN 39713 3973 11 ; ; : 39713 3973 12 not not RB 39713 3973 13 to to TO 39713 3973 14 go go VB 39713 3973 15 beyond beyond IN 39713 3973 16 physics physics NN 39713 3973 17 , , , 39713 3973 18 the the DT 39713 3973 19 unknown unknown JJ 39713 3973 20 man man NN 39713 3973 21 who who WP 39713 3973 22 invented invent VBD 39713 3973 23 the the DT 39713 3973 24 word word NN 39713 3973 25 _ _ NNP 39713 3973 26 heat heat NN 39713 3973 27 _ _ NNP 39713 3973 28 devoted devote VBD 39713 3973 29 many many JJ 39713 3973 30 generations generation NNS 39713 3973 31 to to TO 39713 3973 32 error error NN 39713 3973 33 . . . 39713 3974 1 Heat heat NN 39713 3974 2 has have VBZ 39713 3974 3 been be VBN 39713 3974 4 treated treat VBN 39713 3974 5 as as IN 39713 3974 6 a a DT 39713 3974 7 substance substance NN 39713 3974 8 , , , 39713 3974 9 simply simply RB 39713 3974 10 because because IN 39713 3974 11 it -PRON- PRP 39713 3974 12 was be VBD 39713 3974 13 designated designate VBN 39713 3974 14 by by IN 39713 3974 15 a a DT 39713 3974 16 substantive substantive NN 39713 3974 17 , , , 39713 3974 18 and and CC 39713 3974 19 it -PRON- PRP 39713 3974 20 has have VBZ 39713 3974 21 been be VBN 39713 3974 22 thought think VBN 39713 3974 23 indestructible indestructible JJ 39713 3974 24 . . . 39713 3975 1 On on IN 39713 3975 2 the the DT 39713 3975 3 other other JJ 39713 3975 4 hand hand NN 39713 3975 5 , , , 39713 3975 6 he -PRON- PRP 39713 3975 7 who who WP 39713 3975 8 invented invent VBD 39713 3975 9 the the DT 39713 3975 10 word word NN 39713 3975 11 _ _ IN 39713 3975 12 electricity electricity NN 39713 3975 13 _ _ NNP 39713 3975 14 had have VBD 39713 3975 15 the the DT 39713 3975 16 unmerited unmerited JJ 39713 3975 17 good good JJ 39713 3975 18 fortune fortune NN 39713 3975 19 to to TO 39713 3975 20 implicitly implicitly RB 39713 3975 21 endow endow VB 39713 3975 22 physics physics NN 39713 3975 23 with with IN 39713 3975 24 a a DT 39713 3975 25 _ _ NNP 39713 3975 26 new new JJ 39713 3975 27 _ _ NNP 39713 3975 28 law law NN 39713 3975 29 , , , 39713 3975 30 that that DT 39713 3975 31 of of IN 39713 3975 32 the the DT 39713 3975 33 conservation conservation NN 39713 3975 34 of of IN 39713 3975 35 electricity electricity NN 39713 3975 36 , , , 39713 3975 37 which which WDT 39713 3975 38 , , , 39713 3975 39 by by IN 39713 3975 40 a a DT 39713 3975 41 pure pure JJ 39713 3975 42 chance chance NN 39713 3975 43 , , , 39713 3975 44 has have VBZ 39713 3975 45 been be VBN 39713 3975 46 found find VBN 39713 3975 47 exact exact JJ 39713 3975 48 , , , 39713 3975 49 at at IN 39713 3975 50 least least JJS 39713 3975 51 until until IN 39713 3975 52 now now RB 39713 3975 53 . . . 39713 3976 1 Well well UH 39713 3976 2 , , , 39713 3976 3 to to TO 39713 3976 4 continue continue VB 39713 3976 5 the the DT 39713 3976 6 simile simile NN 39713 3976 7 , , , 39713 3976 8 the the DT 39713 3976 9 writers writer NNS 39713 3976 10 who who WP 39713 3976 11 embellish embellish VBP 39713 3976 12 a a DT 39713 3976 13 language language NN 39713 3976 14 , , , 39713 3976 15 who who WP 39713 3976 16 treat treat VBP 39713 3976 17 it -PRON- PRP 39713 3976 18 as as IN 39713 3976 19 an an DT 39713 3976 20 object object NN 39713 3976 21 of of IN 39713 3976 22 art art NN 39713 3976 23 , , , 39713 3976 24 make make VB 39713 3976 25 of of IN 39713 3976 26 it -PRON- PRP 39713 3976 27 at at IN 39713 3976 28 the the DT 39713 3976 29 same same JJ 39713 3976 30 time time NN 39713 3976 31 a a DT 39713 3976 32 more more RBR 39713 3976 33 supple supple JJ 39713 3976 34 instrument instrument NN 39713 3976 35 , , , 39713 3976 36 more more RBR 39713 3976 37 apt apt JJ 39713 3976 38 for for IN 39713 3976 39 rendering render VBG 39713 3976 40 shades shade NNS 39713 3976 41 of of IN 39713 3976 42 thought thought NN 39713 3976 43 . . . 39713 3977 1 We -PRON- PRP 39713 3977 2 understand understand VBP 39713 3977 3 , , , 39713 3977 4 then then RB 39713 3977 5 , , , 39713 3977 6 how how WRB 39713 3977 7 the the DT 39713 3977 8 analyst analyst NN 39713 3977 9 , , , 39713 3977 10 who who WP 39713 3977 11 pursues pursue VBZ 39713 3977 12 a a DT 39713 3977 13 purely purely RB 39713 3977 14 esthetic esthetic JJ 39713 3977 15 aim aim NN 39713 3977 16 , , , 39713 3977 17 helps help VBZ 39713 3977 18 create create VB 39713 3977 19 , , , 39713 3977 20 just just RB 39713 3977 21 by by IN 39713 3977 22 that that DT 39713 3977 23 , , , 39713 3977 24 a a DT 39713 3977 25 language language NN 39713 3977 26 more more RBR 39713 3977 27 fit fit JJ 39713 3977 28 to to TO 39713 3977 29 satisfy satisfy VB 39713 3977 30 the the DT 39713 3977 31 physicist physicist NN 39713 3977 32 . . . 39713 3978 1 But but CC 39713 3978 2 this this DT 39713 3978 3 is be VBZ 39713 3978 4 not not RB 39713 3978 5 all all DT 39713 3978 6 : : : 39713 3978 7 law law NN 39713 3978 8 springs spring NNS 39713 3978 9 from from IN 39713 3978 10 experiment experiment NN 39713 3978 11 , , , 39713 3978 12 but but CC 39713 3978 13 not not RB 39713 3978 14 immediately immediately RB 39713 3978 15 . . . 39713 3979 1 Experiment experiment NN 39713 3979 2 is be VBZ 39713 3979 3 individual individual JJ 39713 3979 4 , , , 39713 3979 5 the the DT 39713 3979 6 law law NN 39713 3979 7 deduced deduce VBD 39713 3979 8 from from IN 39713 3979 9 it -PRON- PRP 39713 3979 10 is be VBZ 39713 3979 11 general general JJ 39713 3979 12 ; ; : 39713 3979 13 experiment experiment NN 39713 3979 14 is be VBZ 39713 3979 15 only only RB 39713 3979 16 approximate approximate JJ 39713 3979 17 , , , 39713 3979 18 the the DT 39713 3979 19 law law NN 39713 3979 20 is be VBZ 39713 3979 21 precise precise JJ 39713 3979 22 , , , 39713 3979 23 or or CC 39713 3979 24 at at IN 39713 3979 25 least least JJS 39713 3979 26 pretends pretend NNS 39713 3979 27 to to TO 39713 3979 28 be be VB 39713 3979 29 . . . 39713 3980 1 Experiment experiment NN 39713 3980 2 is be VBZ 39713 3980 3 made make VBN 39713 3980 4 under under IN 39713 3980 5 conditions condition NNS 39713 3980 6 always always RB 39713 3980 7 complex complex JJ 39713 3980 8 , , , 39713 3980 9 the the DT 39713 3980 10 enunciation enunciation NN 39713 3980 11 of of IN 39713 3980 12 the the DT 39713 3980 13 law law NN 39713 3980 14 eliminates eliminate VBZ 39713 3980 15 these these DT 39713 3980 16 complications complication NNS 39713 3980 17 . . . 39713 3981 1 This this DT 39713 3981 2 is be VBZ 39713 3981 3 what what WP 39713 3981 4 is be VBZ 39713 3981 5 called call VBN 39713 3981 6 ' ' '' 39713 3981 7 correcting correct VBG 39713 3981 8 the the DT 39713 3981 9 systematic systematic JJ 39713 3981 10 errors error NNS 39713 3981 11 . . . 39713 3981 12 ' ' '' 39713 3982 1 In in IN 39713 3982 2 a a DT 39713 3982 3 word word NN 39713 3982 4 , , , 39713 3982 5 to to TO 39713 3982 6 get get VB 39713 3982 7 the the DT 39713 3982 8 law law NN 39713 3982 9 from from IN 39713 3982 10 experiment experiment NN 39713 3982 11 , , , 39713 3982 12 it -PRON- PRP 39713 3982 13 is be VBZ 39713 3982 14 necessary necessary JJ 39713 3982 15 to to TO 39713 3982 16 generalize generalize VB 39713 3982 17 ; ; : 39713 3982 18 this this DT 39713 3982 19 is be VBZ 39713 3982 20 a a DT 39713 3982 21 necessity necessity NN 39713 3982 22 imposed impose VBN 39713 3982 23 upon upon IN 39713 3982 24 the the DT 39713 3982 25 most most RBS 39713 3982 26 circumspect circumspect JJ 39713 3982 27 observer observer NN 39713 3982 28 . . . 39713 3983 1 But but CC 39713 3983 2 how how WRB 39713 3983 3 generalize generalize VB 39713 3983 4 ? ? . 39713 3984 1 Every every DT 39713 3984 2 particular particular JJ 39713 3984 3 truth truth NN 39713 3984 4 may may MD 39713 3984 5 evidently evidently RB 39713 3984 6 be be VB 39713 3984 7 extended extend VBN 39713 3984 8 in in IN 39713 3984 9 an an DT 39713 3984 10 infinity infinity NN 39713 3984 11 of of IN 39713 3984 12 ways way NNS 39713 3984 13 . . . 39713 3985 1 Among among IN 39713 3985 2 these these DT 39713 3985 3 thousand thousand CD 39713 3985 4 routes route NNS 39713 3985 5 opening open VBG 39713 3985 6 before before IN 39713 3985 7 us -PRON- PRP 39713 3985 8 , , , 39713 3985 9 it -PRON- PRP 39713 3985 10 is be VBZ 39713 3985 11 necessary necessary JJ 39713 3985 12 to to TO 39713 3985 13 make make VB 39713 3985 14 a a DT 39713 3985 15 choice choice NN 39713 3985 16 , , , 39713 3985 17 at at IN 39713 3985 18 least least JJS 39713 3985 19 provisional provisional JJ 39713 3985 20 ; ; : 39713 3985 21 in in IN 39713 3985 22 this this DT 39713 3985 23 choice choice NN 39713 3985 24 , , , 39713 3985 25 what what WP 39713 3985 26 shall shall MD 39713 3985 27 guide guide VB 39713 3985 28 us -PRON- PRP 39713 3985 29 ? ? . 39713 3986 1 It -PRON- PRP 39713 3986 2 can can MD 39713 3986 3 only only RB 39713 3986 4 be be VB 39713 3986 5 analogy analogy NN 39713 3986 6 . . . 39713 3987 1 But but CC 39713 3987 2 how how WRB 39713 3987 3 vague vague JJ 39713 3987 4 is be VBZ 39713 3987 5 this this DT 39713 3987 6 word word NN 39713 3987 7 ! ! . 39713 3988 1 Primitive primitive JJ 39713 3988 2 man man NN 39713 3988 3 knew know VBD 39713 3988 4 only only JJ 39713 3988 5 crude crude JJ 39713 3988 6 analogies analogy NNS 39713 3988 7 , , , 39713 3988 8 those those DT 39713 3988 9 which which WDT 39713 3988 10 strike strike VBP 39713 3988 11 the the DT 39713 3988 12 senses sense NNS 39713 3988 13 , , , 39713 3988 14 those those DT 39713 3988 15 of of IN 39713 3988 16 colors color NNS 39713 3988 17 or or CC 39713 3988 18 of of IN 39713 3988 19 sounds sound NNS 39713 3988 20 . . . 39713 3989 1 He -PRON- PRP 39713 3989 2 never never RB 39713 3989 3 would would MD 39713 3989 4 have have VB 39713 3989 5 dreamt dream VBN 39713 3989 6 of of IN 39713 3989 7 likening liken VBG 39713 3989 8 light light NN 39713 3989 9 to to TO 39713 3989 10 radiant radiant VB 39713 3989 11 heat heat NN 39713 3989 12 . . . 39713 3990 1 What what WP 39713 3990 2 has have VBZ 39713 3990 3 taught teach VBN 39713 3990 4 us -PRON- PRP 39713 3990 5 to to TO 39713 3990 6 know know VB 39713 3990 7 the the DT 39713 3990 8 true true JJ 39713 3990 9 , , , 39713 3990 10 profound profound JJ 39713 3990 11 analogies analogy NNS 39713 3990 12 , , , 39713 3990 13 those those DT 39713 3990 14 the the DT 39713 3990 15 eyes eye NNS 39713 3990 16 do do VBP 39713 3990 17 not not RB 39713 3990 18 see see VB 39713 3990 19 but but CC 39713 3990 20 reason reason NN 39713 3990 21 divines divine NNS 39713 3990 22 ? ? . 39713 3991 1 It -PRON- PRP 39713 3991 2 is be VBZ 39713 3991 3 the the DT 39713 3991 4 mathematical mathematical JJ 39713 3991 5 spirit spirit NN 39713 3991 6 , , , 39713 3991 7 which which WDT 39713 3991 8 disdains disdain VBZ 39713 3991 9 matter matter NN 39713 3991 10 to to TO 39713 3991 11 cling cling VB 39713 3991 12 only only RB 39713 3991 13 to to IN 39713 3991 14 pure pure JJ 39713 3991 15 form form NN 39713 3991 16 . . . 39713 3992 1 This this DT 39713 3992 2 it -PRON- PRP 39713 3992 3 is be VBZ 39713 3992 4 which which WDT 39713 3992 5 has have VBZ 39713 3992 6 taught teach VBN 39713 3992 7 us -PRON- PRP 39713 3992 8 to to TO 39713 3992 9 give give VB 39713 3992 10 the the DT 39713 3992 11 same same JJ 39713 3992 12 name name NN 39713 3992 13 to to IN 39713 3992 14 things thing NNS 39713 3992 15 differing differ VBG 39713 3992 16 only only RB 39713 3992 17 in in IN 39713 3992 18 material material NN 39713 3992 19 , , , 39713 3992 20 to to TO 39713 3992 21 call call VB 39713 3992 22 by by IN 39713 3992 23 the the DT 39713 3992 24 same same JJ 39713 3992 25 name name NN 39713 3992 26 , , , 39713 3992 27 for for IN 39713 3992 28 instance instance NN 39713 3992 29 , , , 39713 3992 30 the the DT 39713 3992 31 multiplication multiplication NN 39713 3992 32 of of IN 39713 3992 33 quaternions quaternion NNS 39713 3992 34 and and CC 39713 3992 35 that that DT 39713 3992 36 of of IN 39713 3992 37 whole whole JJ 39713 3992 38 numbers number NNS 39713 3992 39 . . . 39713 3993 1 If if IN 39713 3993 2 quaternions quaternion NNS 39713 3993 3 , , , 39713 3993 4 of of IN 39713 3993 5 which which WDT 39713 3993 6 I -PRON- PRP 39713 3993 7 have have VBP 39713 3993 8 just just RB 39713 3993 9 spoken speak VBN 39713 3993 10 , , , 39713 3993 11 had have VBD 39713 3993 12 not not RB 39713 3993 13 been be VBN 39713 3993 14 so so RB 39713 3993 15 promptly promptly RB 39713 3993 16 utilized utilize VBN 39713 3993 17 by by IN 39713 3993 18 the the DT 39713 3993 19 English english JJ 39713 3993 20 physicists physicist NNS 39713 3993 21 , , , 39713 3993 22 many many JJ 39713 3993 23 persons person NNS 39713 3993 24 would would MD 39713 3993 25 doubtless doubtless RB 39713 3993 26 see see VB 39713 3993 27 in in IN 39713 3993 28 them -PRON- PRP 39713 3993 29 only only RB 39713 3993 30 a a DT 39713 3993 31 useless useless JJ 39713 3993 32 fancy fancy NN 39713 3993 33 , , , 39713 3993 34 and and CC 39713 3993 35 yet yet RB 39713 3993 36 , , , 39713 3993 37 in in IN 39713 3993 38 teaching teach VBG 39713 3993 39 us -PRON- PRP 39713 3993 40 to to TO 39713 3993 41 liken liken VB 39713 3993 42 what what WDT 39713 3993 43 appearances appearance NNS 39713 3993 44 separate separate VBP 39713 3993 45 , , , 39713 3993 46 they -PRON- PRP 39713 3993 47 would would MD 39713 3993 48 have have VB 39713 3993 49 already already RB 39713 3993 50 rendered render VBN 39713 3993 51 us -PRON- PRP 39713 3993 52 more more JJR 39713 3993 53 apt apt JJ 39713 3993 54 to to TO 39713 3993 55 penetrate penetrate VB 39713 3993 56 the the DT 39713 3993 57 secrets secret NNS 39713 3993 58 of of IN 39713 3993 59 nature nature NN 39713 3993 60 . . . 39713 3994 1 Such such JJ 39713 3994 2 are be VBP 39713 3994 3 the the DT 39713 3994 4 services service NNS 39713 3994 5 the the DT 39713 3994 6 physicist physicist NN 39713 3994 7 should should MD 39713 3994 8 expect expect VB 39713 3994 9 of of IN 39713 3994 10 analysis analysis NN 39713 3994 11 ; ; : 39713 3994 12 but but CC 39713 3994 13 for for IN 39713 3994 14 this this DT 39713 3994 15 science science NN 39713 3994 16 to to TO 39713 3994 17 be be VB 39713 3994 18 able able JJ 39713 3994 19 to to TO 39713 3994 20 render render VB 39713 3994 21 them -PRON- PRP 39713 3994 22 , , , 39713 3994 23 it -PRON- PRP 39713 3994 24 must must MD 39713 3994 25 be be VB 39713 3994 26 cultivated cultivate VBN 39713 3994 27 in in IN 39713 3994 28 the the DT 39713 3994 29 broadest broad JJS 39713 3994 30 fashion fashion NN 39713 3994 31 without without IN 39713 3994 32 immediate immediate JJ 39713 3994 33 expectation expectation NN 39713 3994 34 of of IN 39713 3994 35 utility utility NN 39713 3994 36 -- -- : 39713 3994 37 the the DT 39713 3994 38 mathematician mathematician NN 39713 3994 39 must must MD 39713 3994 40 have have VB 39713 3994 41 worked work VBN 39713 3994 42 as as IN 39713 3994 43 artist artist NN 39713 3994 44 . . . 39713 3995 1 What what WP 39713 3995 2 we -PRON- PRP 39713 3995 3 ask ask VBP 39713 3995 4 of of IN 39713 3995 5 him -PRON- PRP 39713 3995 6 is be VBZ 39713 3995 7 to to TO 39713 3995 8 help help VB 39713 3995 9 us -PRON- PRP 39713 3995 10 to to TO 39713 3995 11 see see VB 39713 3995 12 , , , 39713 3995 13 to to TO 39713 3995 14 discern discern VB 39713 3995 15 our -PRON- PRP$ 39713 3995 16 way way NN 39713 3995 17 in in IN 39713 3995 18 the the DT 39713 3995 19 labyrinth labyrinth NN 39713 3995 20 which which WDT 39713 3995 21 opens open VBZ 39713 3995 22 before before IN 39713 3995 23 us -PRON- PRP 39713 3995 24 . . . 39713 3996 1 Now now RB 39713 3996 2 , , , 39713 3996 3 he -PRON- PRP 39713 3996 4 sees see VBZ 39713 3996 5 best good JJS 39713 3996 6 who who WP 39713 3996 7 stands stand VBZ 39713 3996 8 highest high JJS 39713 3996 9 . . . 39713 3997 1 Examples example NNS 39713 3997 2 abound abound VBP 39713 3997 3 , , , 39713 3997 4 and and CC 39713 3997 5 I -PRON- PRP 39713 3997 6 limit limit VBP 39713 3997 7 myself -PRON- PRP 39713 3997 8 to to IN 39713 3997 9 the the DT 39713 3997 10 most most RBS 39713 3997 11 striking striking JJ 39713 3997 12 . . . 39713 3998 1 The the DT 39713 3998 2 first first JJ 39713 3998 3 will will MD 39713 3998 4 show show VB 39713 3998 5 us -PRON- PRP 39713 3998 6 how how WRB 39713 3998 7 to to TO 39713 3998 8 change change VB 39713 3998 9 the the DT 39713 3998 10 language language NN 39713 3998 11 suffices suffice VBZ 39713 3998 12 to to TO 39713 3998 13 reveal reveal VB 39713 3998 14 generalizations generalization NNS 39713 3998 15 not not RB 39713 3998 16 before before IN 39713 3998 17 suspected suspect VBN 39713 3998 18 . . . 39713 3999 1 When when WRB 39713 3999 2 Newton Newton NNP 39713 3999 3 's 's POS 39713 3999 4 law law NN 39713 3999 5 has have VBZ 39713 3999 6 been be VBN 39713 3999 7 substituted substitute VBN 39713 3999 8 for for IN 39713 3999 9 Kepler Kepler NNP 39713 3999 10 's 's POS 39713 3999 11 we -PRON- PRP 39713 3999 12 still still RB 39713 3999 13 know know VBP 39713 3999 14 only only RB 39713 3999 15 elliptic elliptic JJ 39713 3999 16 motion motion NN 39713 3999 17 . . . 39713 4000 1 Now now RB 39713 4000 2 , , , 39713 4000 3 in in IN 39713 4000 4 so so RB 39713 4000 5 far far RB 39713 4000 6 as as IN 39713 4000 7 concerns concern NNS 39713 4000 8 this this DT 39713 4000 9 motion motion NN 39713 4000 10 , , , 39713 4000 11 the the DT 39713 4000 12 two two CD 39713 4000 13 laws law NNS 39713 4000 14 differ differ VBP 39713 4000 15 only only RB 39713 4000 16 in in IN 39713 4000 17 form form NN 39713 4000 18 ; ; : 39713 4000 19 we -PRON- PRP 39713 4000 20 pass pass VBP 39713 4000 21 from from IN 39713 4000 22 one one CD 39713 4000 23 to to IN 39713 4000 24 the the DT 39713 4000 25 other other JJ 39713 4000 26 by by IN 39713 4000 27 a a DT 39713 4000 28 simple simple JJ 39713 4000 29 differentiation differentiation NN 39713 4000 30 . . . 39713 4001 1 And and CC 39713 4001 2 yet yet RB 39713 4001 3 from from IN 39713 4001 4 Newton Newton NNP 39713 4001 5 's 's POS 39713 4001 6 law law NN 39713 4001 7 may may MD 39713 4001 8 be be VB 39713 4001 9 deduced deduce VBN 39713 4001 10 by by IN 39713 4001 11 an an DT 39713 4001 12 immediate immediate JJ 39713 4001 13 generalization generalization NN 39713 4001 14 all all PDT 39713 4001 15 the the DT 39713 4001 16 effects effect NNS 39713 4001 17 of of IN 39713 4001 18 perturbations perturbation NNS 39713 4001 19 and and CC 39713 4001 20 the the DT 39713 4001 21 whole whole NN 39713 4001 22 of of IN 39713 4001 23 celestial celestial JJ 39713 4001 24 mechanics mechanic NNS 39713 4001 25 . . . 39713 4002 1 If if IN 39713 4002 2 , , , 39713 4002 3 on on IN 39713 4002 4 the the DT 39713 4002 5 other other JJ 39713 4002 6 hand hand NN 39713 4002 7 , , , 39713 4002 8 Kepler Kepler NNP 39713 4002 9 's 's POS 39713 4002 10 enunciation enunciation NN 39713 4002 11 had have VBD 39713 4002 12 been be VBN 39713 4002 13 retained retain VBN 39713 4002 14 , , , 39713 4002 15 no no DT 39713 4002 16 one one NN 39713 4002 17 would would MD 39713 4002 18 ever ever RB 39713 4002 19 have have VB 39713 4002 20 regarded regard VBN 39713 4002 21 the the DT 39713 4002 22 orbits orbit NNS 39713 4002 23 of of IN 39713 4002 24 the the DT 39713 4002 25 perturbed perturbed JJ 39713 4002 26 planets planet NNS 39713 4002 27 , , , 39713 4002 28 those those DT 39713 4002 29 complicated complicate VBN 39713 4002 30 curves curve NNS 39713 4002 31 of of IN 39713 4002 32 which which WDT 39713 4002 33 no no DT 39713 4002 34 one one NN 39713 4002 35 has have VBZ 39713 4002 36 ever ever RB 39713 4002 37 written write VBN 39713 4002 38 the the DT 39713 4002 39 equation equation NN 39713 4002 40 , , , 39713 4002 41 as as IN 39713 4002 42 the the DT 39713 4002 43 natural natural JJ 39713 4002 44 generalizations generalization NNS 39713 4002 45 of of IN 39713 4002 46 the the DT 39713 4002 47 ellipse ellipse NN 39713 4002 48 . . . 39713 4003 1 The the DT 39713 4003 2 progress progress NN 39713 4003 3 of of IN 39713 4003 4 observations observation NNS 39713 4003 5 would would MD 39713 4003 6 only only RB 39713 4003 7 have have VB 39713 4003 8 served serve VBN 39713 4003 9 to to TO 39713 4003 10 create create VB 39713 4003 11 belief belief NN 39713 4003 12 in in IN 39713 4003 13 chaos chaos NN 39713 4003 14 . . . 39713 4004 1 The the DT 39713 4004 2 second second JJ 39713 4004 3 example example NN 39713 4004 4 is be VBZ 39713 4004 5 equally equally RB 39713 4004 6 deserving deserving JJ 39713 4004 7 of of IN 39713 4004 8 consideration consideration NN 39713 4004 9 . . . 39713 4005 1 When when WRB 39713 4005 2 Maxwell Maxwell NNP 39713 4005 3 began begin VBD 39713 4005 4 his -PRON- PRP$ 39713 4005 5 work work NN 39713 4005 6 , , , 39713 4005 7 the the DT 39713 4005 8 laws law NNS 39713 4005 9 of of IN 39713 4005 10 electro electro NNP 39713 4005 11 - - HYPH 39713 4005 12 dynamics dynamic NNS 39713 4005 13 admitted admit VBD 39713 4005 14 up up RP 39713 4005 15 to to IN 39713 4005 16 his -PRON- PRP$ 39713 4005 17 time time NN 39713 4005 18 accounted account VBD 39713 4005 19 for for IN 39713 4005 20 all all PDT 39713 4005 21 the the DT 39713 4005 22 known know VBN 39713 4005 23 facts fact NNS 39713 4005 24 . . . 39713 4006 1 It -PRON- PRP 39713 4006 2 was be VBD 39713 4006 3 not not RB 39713 4006 4 a a DT 39713 4006 5 new new JJ 39713 4006 6 experiment experiment NN 39713 4006 7 which which WDT 39713 4006 8 came come VBD 39713 4006 9 to to TO 39713 4006 10 invalidate invalidate VB 39713 4006 11 them -PRON- PRP 39713 4006 12 . . . 39713 4007 1 But but CC 39713 4007 2 in in IN 39713 4007 3 looking look VBG 39713 4007 4 at at IN 39713 4007 5 them -PRON- PRP 39713 4007 6 under under IN 39713 4007 7 a a DT 39713 4007 8 new new JJ 39713 4007 9 bias bias NN 39713 4007 10 , , , 39713 4007 11 Maxwell Maxwell NNP 39713 4007 12 saw see VBD 39713 4007 13 that that IN 39713 4007 14 the the DT 39713 4007 15 equations equation NNS 39713 4007 16 became become VBD 39713 4007 17 more more RBR 39713 4007 18 symmetrical symmetrical JJ 39713 4007 19 when when WRB 39713 4007 20 a a DT 39713 4007 21 term term NN 39713 4007 22 was be VBD 39713 4007 23 added add VBN 39713 4007 24 , , , 39713 4007 25 and and CC 39713 4007 26 besides besides RB 39713 4007 27 , , , 39713 4007 28 this this DT 39713 4007 29 term term NN 39713 4007 30 was be VBD 39713 4007 31 too too RB 39713 4007 32 small small JJ 39713 4007 33 to to TO 39713 4007 34 produce produce VB 39713 4007 35 effects effect NNS 39713 4007 36 appreciable appreciable JJ 39713 4007 37 with with IN 39713 4007 38 the the DT 39713 4007 39 old old JJ 39713 4007 40 methods method NNS 39713 4007 41 . . . 39713 4008 1 You -PRON- PRP 39713 4008 2 know know VBP 39713 4008 3 that that IN 39713 4008 4 Maxwell Maxwell NNP 39713 4008 5 's 's POS 39713 4008 6 _ _ NNP 39713 4008 7 a a DT 39713 4008 8 priori priori FW 39713 4008 9 _ _ NNP 39713 4008 10 views view NNS 39713 4008 11 awaited await VBN 39713 4008 12 for for IN 39713 4008 13 twenty twenty CD 39713 4008 14 years year NNS 39713 4008 15 an an DT 39713 4008 16 experimental experimental JJ 39713 4008 17 confirmation confirmation NN 39713 4008 18 ; ; : 39713 4008 19 or or CC 39713 4008 20 , , , 39713 4008 21 if if IN 39713 4008 22 you -PRON- PRP 39713 4008 23 prefer prefer VBP 39713 4008 24 , , , 39713 4008 25 Maxwell Maxwell NNP 39713 4008 26 was be VBD 39713 4008 27 twenty twenty CD 39713 4008 28 years year NNS 39713 4008 29 ahead ahead RB 39713 4008 30 of of IN 39713 4008 31 experiment experiment NN 39713 4008 32 . . . 39713 4009 1 How how WRB 39713 4009 2 was be VBD 39713 4009 3 this this DT 39713 4009 4 triumph triumph NN 39713 4009 5 obtained obtain VBN 39713 4009 6 ? ? . 39713 4010 1 It -PRON- PRP 39713 4010 2 was be VBD 39713 4010 3 because because IN 39713 4010 4 Maxwell Maxwell NNP 39713 4010 5 was be VBD 39713 4010 6 profoundly profoundly RB 39713 4010 7 steeped steep VBN 39713 4010 8 in in IN 39713 4010 9 the the DT 39713 4010 10 sense sense NN 39713 4010 11 of of IN 39713 4010 12 mathematical mathematical JJ 39713 4010 13 symmetry symmetry NN 39713 4010 14 ; ; : 39713 4010 15 would would MD 39713 4010 16 he -PRON- PRP 39713 4010 17 have have VB 39713 4010 18 been be VBN 39713 4010 19 so so RB 39713 4010 20 , , , 39713 4010 21 if if IN 39713 4010 22 others other NNS 39713 4010 23 before before IN 39713 4010 24 him -PRON- PRP 39713 4010 25 had have VBD 39713 4010 26 not not RB 39713 4010 27 studied study VBN 39713 4010 28 this this DT 39713 4010 29 symmetry symmetry NN 39713 4010 30 for for IN 39713 4010 31 its -PRON- PRP$ 39713 4010 32 own own JJ 39713 4010 33 beauty beauty NN 39713 4010 34 ? ? . 39713 4011 1 It -PRON- PRP 39713 4011 2 was be VBD 39713 4011 3 because because IN 39713 4011 4 Maxwell Maxwell NNP 39713 4011 5 was be VBD 39713 4011 6 accustomed accustom VBN 39713 4011 7 to to TO 39713 4011 8 ' ' '' 39713 4011 9 think think VB 39713 4011 10 in in IN 39713 4011 11 vectors vector NNS 39713 4011 12 , , , 39713 4011 13 ' ' '' 39713 4011 14 and and CC 39713 4011 15 yet yet RB 39713 4011 16 it -PRON- PRP 39713 4011 17 was be VBD 39713 4011 18 through through IN 39713 4011 19 the the DT 39713 4011 20 theory theory NN 39713 4011 21 of of IN 39713 4011 22 imaginaries imaginary NNS 39713 4011 23 ( ( -LRB- 39713 4011 24 neomonics neomonic NNS 39713 4011 25 ) ) -RRB- 39713 4011 26 that that IN 39713 4011 27 vectors vector NNS 39713 4011 28 were be VBD 39713 4011 29 introduced introduce VBN 39713 4011 30 into into IN 39713 4011 31 analysis analysis NN 39713 4011 32 . . . 39713 4012 1 And and CC 39713 4012 2 those those DT 39713 4012 3 who who WP 39713 4012 4 invented invent VBD 39713 4012 5 imaginaries imaginary NNS 39713 4012 6 hardly hardly RB 39713 4012 7 suspected suspect VBN 39713 4012 8 the the DT 39713 4012 9 advantage advantage NN 39713 4012 10 which which WDT 39713 4012 11 would would MD 39713 4012 12 be be VB 39713 4012 13 obtained obtain VBN 39713 4012 14 from from IN 39713 4012 15 them -PRON- PRP 39713 4012 16 for for IN 39713 4012 17 the the DT 39713 4012 18 study study NN 39713 4012 19 of of IN 39713 4012 20 the the DT 39713 4012 21 real real JJ 39713 4012 22 world world NN 39713 4012 23 , , , 39713 4012 24 of of IN 39713 4012 25 this this DT 39713 4012 26 the the DT 39713 4012 27 name name NN 39713 4012 28 given give VBN 39713 4012 29 them -PRON- PRP 39713 4012 30 is be VBZ 39713 4012 31 proof proof NN 39713 4012 32 sufficient sufficient JJ 39713 4012 33 . . . 39713 4013 1 In in IN 39713 4013 2 a a DT 39713 4013 3 word word NN 39713 4013 4 , , , 39713 4013 5 Maxwell Maxwell NNP 39713 4013 6 was be VBD 39713 4013 7 perhaps perhaps RB 39713 4013 8 not not RB 39713 4013 9 an an DT 39713 4013 10 able able JJ 39713 4013 11 analyst analyst NN 39713 4013 12 , , , 39713 4013 13 but but CC 39713 4013 14 this this DT 39713 4013 15 ability ability NN 39713 4013 16 would would MD 39713 4013 17 have have VB 39713 4013 18 been be VBN 39713 4013 19 for for IN 39713 4013 20 him -PRON- PRP 39713 4013 21 only only RB 39713 4013 22 a a DT 39713 4013 23 useless useless JJ 39713 4013 24 and and CC 39713 4013 25 bothersome bothersome JJ 39713 4013 26 baggage baggage NN 39713 4013 27 . . . 39713 4014 1 On on IN 39713 4014 2 the the DT 39713 4014 3 other other JJ 39713 4014 4 hand hand NN 39713 4014 5 , , , 39713 4014 6 he -PRON- PRP 39713 4014 7 had have VBD 39713 4014 8 in in IN 39713 4014 9 the the DT 39713 4014 10 highest high JJS 39713 4014 11 degree degree NN 39713 4014 12 the the DT 39713 4014 13 intimate intimate JJ 39713 4014 14 sense sense NN 39713 4014 15 of of IN 39713 4014 16 mathematical mathematical JJ 39713 4014 17 analogies analogy NNS 39713 4014 18 . . . 39713 4015 1 Therefore therefore RB 39713 4015 2 it -PRON- PRP 39713 4015 3 is be VBZ 39713 4015 4 that that IN 39713 4015 5 he -PRON- PRP 39713 4015 6 made make VBD 39713 4015 7 good good JJ 39713 4015 8 mathematical mathematical JJ 39713 4015 9 physics physic NNS 39713 4015 10 . . . 39713 4016 1 Maxwell Maxwell NNP 39713 4016 2 's 's POS 39713 4016 3 example example NN 39713 4016 4 teaches teach VBZ 39713 4016 5 us -PRON- PRP 39713 4016 6 still still RB 39713 4016 7 another another DT 39713 4016 8 thing thing NN 39713 4016 9 . . . 39713 4017 1 How how WRB 39713 4017 2 should should MD 39713 4017 3 the the DT 39713 4017 4 equations equation NNS 39713 4017 5 of of IN 39713 4017 6 mathematical mathematical JJ 39713 4017 7 physics physics NN 39713 4017 8 be be VB 39713 4017 9 treated treat VBN 39713 4017 10 ? ? . 39713 4018 1 Should Should MD 39713 4018 2 we -PRON- PRP 39713 4018 3 simply simply RB 39713 4018 4 deduce deduce VB 39713 4018 5 all all PDT 39713 4018 6 the the DT 39713 4018 7 consequences consequence NNS 39713 4018 8 and and CC 39713 4018 9 regard regard VB 39713 4018 10 them -PRON- PRP 39713 4018 11 as as IN 39713 4018 12 intangible intangible JJ 39713 4018 13 realities reality NNS 39713 4018 14 ? ? . 39713 4019 1 Far far RB 39713 4019 2 from from IN 39713 4019 3 it -PRON- PRP 39713 4019 4 ; ; : 39713 4019 5 what what WP 39713 4019 6 they -PRON- PRP 39713 4019 7 should should MD 39713 4019 8 teach teach VB 39713 4019 9 us -PRON- PRP 39713 4019 10 above above IN 39713 4019 11 all all DT 39713 4019 12 is be VBZ 39713 4019 13 what what WP 39713 4019 14 can can MD 39713 4019 15 and and CC 39713 4019 16 what what WP 39713 4019 17 should should MD 39713 4019 18 be be VB 39713 4019 19 changed change VBN 39713 4019 20 . . . 39713 4020 1 It -PRON- PRP 39713 4020 2 is be VBZ 39713 4020 3 thus thus RB 39713 4020 4 that that IN 39713 4020 5 we -PRON- PRP 39713 4020 6 get get VBP 39713 4020 7 from from IN 39713 4020 8 them -PRON- PRP 39713 4020 9 something something NN 39713 4020 10 useful useful JJ 39713 4020 11 . . . 39713 4021 1 The the DT 39713 4021 2 third third JJ 39713 4021 3 example example NN 39713 4021 4 goes go VBZ 39713 4021 5 to to TO 39713 4021 6 show show VB 39713 4021 7 us -PRON- PRP 39713 4021 8 how how WRB 39713 4021 9 we -PRON- PRP 39713 4021 10 may may MD 39713 4021 11 perceive perceive VB 39713 4021 12 mathematical mathematical JJ 39713 4021 13 analogies analogy NNS 39713 4021 14 between between IN 39713 4021 15 phenomena phenomenon NNS 39713 4021 16 which which WDT 39713 4021 17 have have VBP 39713 4021 18 physically physically RB 39713 4021 19 no no DT 39713 4021 20 relation relation NN 39713 4021 21 either either CC 39713 4021 22 apparent apparent JJ 39713 4021 23 or or CC 39713 4021 24 real real JJ 39713 4021 25 , , , 39713 4021 26 so so IN 39713 4021 27 that that IN 39713 4021 28 the the DT 39713 4021 29 laws law NNS 39713 4021 30 of of IN 39713 4021 31 one one CD 39713 4021 32 of of IN 39713 4021 33 these these DT 39713 4021 34 phenomena phenomenon NNS 39713 4021 35 aid aid VBP 39713 4021 36 us -PRON- PRP 39713 4021 37 to to TO 39713 4021 38 divine divine VB 39713 4021 39 those those DT 39713 4021 40 of of IN 39713 4021 41 the the DT 39713 4021 42 other other JJ 39713 4021 43 . . . 39713 4022 1 The the DT 39713 4022 2 very very RB 39713 4022 3 same same JJ 39713 4022 4 equation equation NN 39713 4022 5 , , , 39713 4022 6 that that DT 39713 4022 7 of of IN 39713 4022 8 Laplace Laplace NNP 39713 4022 9 , , , 39713 4022 10 is be VBZ 39713 4022 11 met meet VBN 39713 4022 12 in in IN 39713 4022 13 the the DT 39713 4022 14 theory theory NN 39713 4022 15 of of IN 39713 4022 16 Newtonian newtonian JJ 39713 4022 17 attraction attraction NN 39713 4022 18 , , , 39713 4022 19 in in IN 39713 4022 20 that that DT 39713 4022 21 of of IN 39713 4022 22 the the DT 39713 4022 23 motion motion NN 39713 4022 24 of of IN 39713 4022 25 liquids liquid NNS 39713 4022 26 , , , 39713 4022 27 in in IN 39713 4022 28 that that DT 39713 4022 29 of of IN 39713 4022 30 the the DT 39713 4022 31 electric electric JJ 39713 4022 32 potential potential NN 39713 4022 33 , , , 39713 4022 34 in in IN 39713 4022 35 that that DT 39713 4022 36 of of IN 39713 4022 37 magnetism magnetism NN 39713 4022 38 , , , 39713 4022 39 in in IN 39713 4022 40 that that DT 39713 4022 41 of of IN 39713 4022 42 the the DT 39713 4022 43 propagation propagation NN 39713 4022 44 of of IN 39713 4022 45 heat heat NN 39713 4022 46 and and CC 39713 4022 47 in in IN 39713 4022 48 still still RB 39713 4022 49 many many JJ 39713 4022 50 others other NNS 39713 4022 51 . . . 39713 4023 1 What what WP 39713 4023 2 is be VBZ 39713 4023 3 the the DT 39713 4023 4 result result NN 39713 4023 5 ? ? . 39713 4024 1 These these DT 39713 4024 2 theories theory NNS 39713 4024 3 seem seem VBP 39713 4024 4 images image NNS 39713 4024 5 copied copy VBD 39713 4024 6 one one CD 39713 4024 7 from from IN 39713 4024 8 the the DT 39713 4024 9 other other JJ 39713 4024 10 ; ; : 39713 4024 11 they -PRON- PRP 39713 4024 12 are be VBP 39713 4024 13 mutually mutually RB 39713 4024 14 illuminating illuminate VBG 39713 4024 15 , , , 39713 4024 16 borrowing borrow VBG 39713 4024 17 their -PRON- PRP$ 39713 4024 18 language language NN 39713 4024 19 from from IN 39713 4024 20 each each DT 39713 4024 21 other other JJ 39713 4024 22 ; ; : 39713 4024 23 ask ask VB 39713 4024 24 electricians electrician NNS 39713 4024 25 if if IN 39713 4024 26 they -PRON- PRP 39713 4024 27 do do VBP 39713 4024 28 not not RB 39713 4024 29 felicitate felicitate VB 39713 4024 30 themselves -PRON- PRP 39713 4024 31 on on IN 39713 4024 32 having have VBG 39713 4024 33 invented invent VBN 39713 4024 34 the the DT 39713 4024 35 phrase phrase NN 39713 4024 36 flow flow NN 39713 4024 37 of of IN 39713 4024 38 force force NN 39713 4024 39 , , , 39713 4024 40 suggested suggest VBN 39713 4024 41 by by IN 39713 4024 42 hydrodynamics hydrodynamic NNS 39713 4024 43 and and CC 39713 4024 44 the the DT 39713 4024 45 theory theory NN 39713 4024 46 of of IN 39713 4024 47 heat heat NN 39713 4024 48 . . . 39713 4025 1 Thus thus RB 39713 4025 2 mathematical mathematical JJ 39713 4025 3 analogies analogy NNS 39713 4025 4 not not RB 39713 4025 5 only only RB 39713 4025 6 may may MD 39713 4025 7 make make VB 39713 4025 8 us -PRON- PRP 39713 4025 9 foresee foresee VB 39713 4025 10 physical physical JJ 39713 4025 11 analogies analogy NNS 39713 4025 12 , , , 39713 4025 13 but but CC 39713 4025 14 besides besides IN 39713 4025 15 do do VBP 39713 4025 16 not not RB 39713 4025 17 cease cease VB 39713 4025 18 to to TO 39713 4025 19 be be VB 39713 4025 20 useful useful JJ 39713 4025 21 when when WRB 39713 4025 22 these these DT 39713 4025 23 latter latter JJ 39713 4025 24 fail fail VBP 39713 4025 25 . . . 39713 4026 1 To to TO 39713 4026 2 sum sum VB 39713 4026 3 up up RP 39713 4026 4 , , , 39713 4026 5 the the DT 39713 4026 6 aim aim NN 39713 4026 7 of of IN 39713 4026 8 mathematical mathematical JJ 39713 4026 9 physics physics NN 39713 4026 10 is be VBZ 39713 4026 11 not not RB 39713 4026 12 only only JJ 39713 4026 13 to to TO 39713 4026 14 facilitate facilitate VB 39713 4026 15 for for IN 39713 4026 16 the the DT 39713 4026 17 physicist physicist NN 39713 4026 18 the the DT 39713 4026 19 numerical numerical JJ 39713 4026 20 calculation calculation NN 39713 4026 21 of of IN 39713 4026 22 certain certain JJ 39713 4026 23 constants constant NNS 39713 4026 24 or or CC 39713 4026 25 the the DT 39713 4026 26 integration integration NN 39713 4026 27 of of IN 39713 4026 28 certain certain JJ 39713 4026 29 differential differential JJ 39713 4026 30 equations equation NNS 39713 4026 31 . . . 39713 4027 1 It -PRON- PRP 39713 4027 2 is be VBZ 39713 4027 3 besides besides RB 39713 4027 4 , , , 39713 4027 5 it -PRON- PRP 39713 4027 6 is be VBZ 39713 4027 7 above above IN 39713 4027 8 all all DT 39713 4027 9 , , , 39713 4027 10 to to TO 39713 4027 11 reveal reveal VB 39713 4027 12 to to IN 39713 4027 13 him -PRON- PRP 39713 4027 14 the the DT 39713 4027 15 hidden hidden JJ 39713 4027 16 harmony harmony NN 39713 4027 17 of of IN 39713 4027 18 things thing NNS 39713 4027 19 in in IN 39713 4027 20 making make VBG 39713 4027 21 him -PRON- PRP 39713 4027 22 see see VB 39713 4027 23 them -PRON- PRP 39713 4027 24 in in IN 39713 4027 25 a a DT 39713 4027 26 new new JJ 39713 4027 27 way way NN 39713 4027 28 . . . 39713 4028 1 Of of IN 39713 4028 2 all all PDT 39713 4028 3 the the DT 39713 4028 4 parts part NNS 39713 4028 5 of of IN 39713 4028 6 analysis analysis NN 39713 4028 7 , , , 39713 4028 8 the the DT 39713 4028 9 most most RBS 39713 4028 10 elevated elevated JJ 39713 4028 11 , , , 39713 4028 12 the the DT 39713 4028 13 purest pure JJS 39713 4028 14 , , , 39713 4028 15 so so RB 39713 4028 16 to to TO 39713 4028 17 speak speak VB 39713 4028 18 , , , 39713 4028 19 will will MD 39713 4028 20 be be VB 39713 4028 21 the the DT 39713 4028 22 most most RBS 39713 4028 23 fruitful fruitful JJ 39713 4028 24 in in IN 39713 4028 25 the the DT 39713 4028 26 hands hand NNS 39713 4028 27 of of IN 39713 4028 28 those those DT 39713 4028 29 who who WP 39713 4028 30 know know VBP 39713 4028 31 how how WRB 39713 4028 32 to to TO 39713 4028 33 use use VB 39713 4028 34 them -PRON- PRP 39713 4028 35 . . . 39713 4029 1 III III NNP 39713 4029 2 Let let VB 39713 4029 3 us -PRON- PRP 39713 4029 4 now now RB 39713 4029 5 see see VB 39713 4029 6 what what WDT 39713 4029 7 analysis analysis NN 39713 4029 8 owes owe VBZ 39713 4029 9 to to IN 39713 4029 10 physics physics NN 39713 4029 11 . . . 39713 4030 1 It -PRON- PRP 39713 4030 2 would would MD 39713 4030 3 be be VB 39713 4030 4 necessary necessary JJ 39713 4030 5 to to TO 39713 4030 6 have have VB 39713 4030 7 completely completely RB 39713 4030 8 forgotten forget VBN 39713 4030 9 the the DT 39713 4030 10 history history NN 39713 4030 11 of of IN 39713 4030 12 science science NN 39713 4030 13 not not RB 39713 4030 14 to to TO 39713 4030 15 remember remember VB 39713 4030 16 that that IN 39713 4030 17 the the DT 39713 4030 18 desire desire NN 39713 4030 19 to to TO 39713 4030 20 understand understand VB 39713 4030 21 nature nature NN 39713 4030 22 has have VBZ 39713 4030 23 had have VBN 39713 4030 24 on on IN 39713 4030 25 the the DT 39713 4030 26 development development NN 39713 4030 27 of of IN 39713 4030 28 mathematics mathematic NNS 39713 4030 29 the the DT 39713 4030 30 most most RBS 39713 4030 31 constant constant JJ 39713 4030 32 and and CC 39713 4030 33 happiest happy JJS 39713 4030 34 influence influence NN 39713 4030 35 . . . 39713 4031 1 In in IN 39713 4031 2 the the DT 39713 4031 3 first first JJ 39713 4031 4 place place NN 39713 4031 5 the the DT 39713 4031 6 physicist physicist JJ 39713 4031 7 sets set VBZ 39713 4031 8 us us NNP 39713 4031 9 problems problem NNS 39713 4031 10 whose whose WP$ 39713 4031 11 solution solution NN 39713 4031 12 he -PRON- PRP 39713 4031 13 expects expect VBZ 39713 4031 14 of of IN 39713 4031 15 us -PRON- PRP 39713 4031 16 . . . 39713 4032 1 But but CC 39713 4032 2 in in IN 39713 4032 3 proposing propose VBG 39713 4032 4 them -PRON- PRP 39713 4032 5 to to IN 39713 4032 6 us -PRON- PRP 39713 4032 7 , , , 39713 4032 8 he -PRON- PRP 39713 4032 9 has have VBZ 39713 4032 10 largely largely RB 39713 4032 11 paid pay VBN 39713 4032 12 us -PRON- PRP 39713 4032 13 in in IN 39713 4032 14 advance advance NN 39713 4032 15 for for IN 39713 4032 16 the the DT 39713 4032 17 service service NN 39713 4032 18 we -PRON- PRP 39713 4032 19 shall shall MD 39713 4032 20 render render VB 39713 4032 21 him -PRON- PRP 39713 4032 22 , , , 39713 4032 23 if if IN 39713 4032 24 we -PRON- PRP 39713 4032 25 solve solve VBP 39713 4032 26 them -PRON- PRP 39713 4032 27 . . . 39713 4033 1 If if IN 39713 4033 2 I -PRON- PRP 39713 4033 3 may may MD 39713 4033 4 be be VB 39713 4033 5 allowed allow VBN 39713 4033 6 to to TO 39713 4033 7 continue continue VB 39713 4033 8 my -PRON- PRP$ 39713 4033 9 comparison comparison NN 39713 4033 10 with with IN 39713 4033 11 the the DT 39713 4033 12 fine fine JJ 39713 4033 13 arts art NNS 39713 4033 14 , , , 39713 4033 15 the the DT 39713 4033 16 pure pure JJ 39713 4033 17 mathematician mathematician NN 39713 4033 18 who who WP 39713 4033 19 should should MD 39713 4033 20 forget forget VB 39713 4033 21 the the DT 39713 4033 22 existence existence NN 39713 4033 23 of of IN 39713 4033 24 the the DT 39713 4033 25 exterior exterior JJ 39713 4033 26 world world NN 39713 4033 27 would would MD 39713 4033 28 be be VB 39713 4033 29 like like IN 39713 4033 30 a a DT 39713 4033 31 painter painter NN 39713 4033 32 who who WP 39713 4033 33 knew know VBD 39713 4033 34 how how WRB 39713 4033 35 to to TO 39713 4033 36 harmoniously harmoniously RB 39713 4033 37 combine combine VB 39713 4033 38 colors color NNS 39713 4033 39 and and CC 39713 4033 40 forms form NNS 39713 4033 41 , , , 39713 4033 42 but but CC 39713 4033 43 who who WP 39713 4033 44 lacked lack VBD 39713 4033 45 models model NNS 39713 4033 46 . . . 39713 4034 1 His -PRON- PRP$ 39713 4034 2 creative creative JJ 39713 4034 3 power power NN 39713 4034 4 would would MD 39713 4034 5 soon soon RB 39713 4034 6 be be VB 39713 4034 7 exhausted exhaust VBN 39713 4034 8 . . . 39713 4035 1 The the DT 39713 4035 2 combinations combination NNS 39713 4035 3 which which WDT 39713 4035 4 numbers number NNS 39713 4035 5 and and CC 39713 4035 6 symbols symbol NNS 39713 4035 7 may may MD 39713 4035 8 form form VB 39713 4035 9 are be VBP 39713 4035 10 an an DT 39713 4035 11 infinite infinite JJ 39713 4035 12 multitude multitude NN 39713 4035 13 . . . 39713 4036 1 In in IN 39713 4036 2 this this DT 39713 4036 3 multitude multitude NN 39713 4036 4 how how WRB 39713 4036 5 shall shall MD 39713 4036 6 we -PRON- PRP 39713 4036 7 choose choose VB 39713 4036 8 those those DT 39713 4036 9 which which WDT 39713 4036 10 are be VBP 39713 4036 11 worthy worthy JJ 39713 4036 12 to to TO 39713 4036 13 fix fix VB 39713 4036 14 our -PRON- PRP$ 39713 4036 15 attention attention NN 39713 4036 16 ? ? . 39713 4037 1 Shall Shall MD 39713 4037 2 we -PRON- PRP 39713 4037 3 let let VB 39713 4037 4 ourselves -PRON- PRP 39713 4037 5 be be VB 39713 4037 6 guided guide VBN 39713 4037 7 solely solely RB 39713 4037 8 by by IN 39713 4037 9 our -PRON- PRP$ 39713 4037 10 caprice caprice NN 39713 4037 11 ? ? . 39713 4038 1 This this DT 39713 4038 2 caprice caprice NN 39713 4038 3 , , , 39713 4038 4 which which WDT 39713 4038 5 itself -PRON- PRP 39713 4038 6 would would MD 39713 4038 7 besides besides RB 39713 4038 8 soon soon RB 39713 4038 9 tire tire NN 39713 4038 10 , , , 39713 4038 11 would would MD 39713 4038 12 doubtless doubtless RB 39713 4038 13 carry carry VB 39713 4038 14 us -PRON- PRP 39713 4038 15 very very RB 39713 4038 16 far far RB 39713 4038 17 apart apart RB 39713 4038 18 and and CC 39713 4038 19 we -PRON- PRP 39713 4038 20 should should MD 39713 4038 21 quickly quickly RB 39713 4038 22 cease cease VB 39713 4038 23 to to TO 39713 4038 24 understand understand VB 39713 4038 25 each each DT 39713 4038 26 other other JJ 39713 4038 27 . . . 39713 4039 1 But but CC 39713 4039 2 this this DT 39713 4039 3 is be VBZ 39713 4039 4 only only RB 39713 4039 5 the the DT 39713 4039 6 smaller small JJR 39713 4039 7 side side NN 39713 4039 8 of of IN 39713 4039 9 the the DT 39713 4039 10 question question NN 39713 4039 11 . . . 39713 4040 1 Physics physics NN 39713 4040 2 will will MD 39713 4040 3 doubtless doubtless RB 39713 4040 4 prevent prevent VB 39713 4040 5 our -PRON- PRP$ 39713 4040 6 straying straying NN 39713 4040 7 , , , 39713 4040 8 but but CC 39713 4040 9 it -PRON- PRP 39713 4040 10 will will MD 39713 4040 11 also also RB 39713 4040 12 preserve preserve VB 39713 4040 13 us -PRON- PRP 39713 4040 14 from from IN 39713 4040 15 a a DT 39713 4040 16 danger danger NN 39713 4040 17 much much RB 39713 4040 18 more more RBR 39713 4040 19 formidable formidable JJ 39713 4040 20 ; ; : 39713 4040 21 it -PRON- PRP 39713 4040 22 will will MD 39713 4040 23 prevent prevent VB 39713 4040 24 our -PRON- PRP$ 39713 4040 25 ceaselessly ceaselessly RB 39713 4040 26 going go VBG 39713 4040 27 around around RB 39713 4040 28 in in IN 39713 4040 29 the the DT 39713 4040 30 same same JJ 39713 4040 31 circle circle NN 39713 4040 32 . . . 39713 4041 1 History history NN 39713 4041 2 proves prove VBZ 39713 4041 3 that that IN 39713 4041 4 physics physics NN 39713 4041 5 has have VBZ 39713 4041 6 not not RB 39713 4041 7 only only RB 39713 4041 8 forced force VBN 39713 4041 9 us -PRON- PRP 39713 4041 10 to to TO 39713 4041 11 choose choose VB 39713 4041 12 among among IN 39713 4041 13 problems problem NNS 39713 4041 14 which which WDT 39713 4041 15 came come VBD 39713 4041 16 in in IN 39713 4041 17 a a DT 39713 4041 18 crowd crowd NN 39713 4041 19 ; ; : 39713 4041 20 it -PRON- PRP 39713 4041 21 has have VBZ 39713 4041 22 imposed impose VBN 39713 4041 23 upon upon IN 39713 4041 24 us -PRON- PRP 39713 4041 25 such such JJ 39713 4041 26 as as IN 39713 4041 27 we -PRON- PRP 39713 4041 28 should should MD 39713 4041 29 without without IN 39713 4041 30 it -PRON- PRP 39713 4041 31 never never RB 39713 4041 32 have have VBP 39713 4041 33 dreamed dream VBN 39713 4041 34 of of IN 39713 4041 35 . . . 39713 4042 1 However however RB 39713 4042 2 varied varied JJ 39713 4042 3 may may MD 39713 4042 4 be be VB 39713 4042 5 the the DT 39713 4042 6 imagination imagination NN 39713 4042 7 of of IN 39713 4042 8 man man NN 39713 4042 9 , , , 39713 4042 10 nature nature NN 39713 4042 11 is be VBZ 39713 4042 12 still still RB 39713 4042 13 a a DT 39713 4042 14 thousand thousand CD 39713 4042 15 times time NNS 39713 4042 16 richer rich JJR 39713 4042 17 . . . 39713 4043 1 To to TO 39713 4043 2 follow follow VB 39713 4043 3 her -PRON- PRP 39713 4043 4 we -PRON- PRP 39713 4043 5 must must MD 39713 4043 6 take take VB 39713 4043 7 ways way NNS 39713 4043 8 we -PRON- PRP 39713 4043 9 have have VBP 39713 4043 10 neglected neglect VBN 39713 4043 11 , , , 39713 4043 12 and and CC 39713 4043 13 these these DT 39713 4043 14 paths path NNS 39713 4043 15 lead lead VBP 39713 4043 16 us -PRON- PRP 39713 4043 17 often often RB 39713 4043 18 to to TO 39713 4043 19 summits summits VB 39713 4043 20 whence whence NN 39713 4043 21 we -PRON- PRP 39713 4043 22 discover discover VBP 39713 4043 23 new new JJ 39713 4043 24 countries country NNS 39713 4043 25 . . . 39713 4044 1 What what WP 39713 4044 2 could could MD 39713 4044 3 be be VB 39713 4044 4 more more RBR 39713 4044 5 useful useful JJ 39713 4044 6 ! ! . 39713 4045 1 It -PRON- PRP 39713 4045 2 is be VBZ 39713 4045 3 with with IN 39713 4045 4 mathematical mathematical JJ 39713 4045 5 symbols symbol NNS 39713 4045 6 as as IN 39713 4045 7 with with IN 39713 4045 8 physical physical JJ 39713 4045 9 realities reality NNS 39713 4045 10 ; ; : 39713 4045 11 it -PRON- PRP 39713 4045 12 is be VBZ 39713 4045 13 in in IN 39713 4045 14 comparing compare VBG 39713 4045 15 the the DT 39713 4045 16 different different JJ 39713 4045 17 aspects aspect NNS 39713 4045 18 of of IN 39713 4045 19 things thing NNS 39713 4045 20 that that WDT 39713 4045 21 we -PRON- PRP 39713 4045 22 are be VBP 39713 4045 23 able able JJ 39713 4045 24 to to TO 39713 4045 25 comprehend comprehend VB 39713 4045 26 their -PRON- PRP$ 39713 4045 27 inner inner JJ 39713 4045 28 harmony harmony NN 39713 4045 29 , , , 39713 4045 30 which which WDT 39713 4045 31 alone alone RB 39713 4045 32 is be VBZ 39713 4045 33 beautiful beautiful JJ 39713 4045 34 and and CC 39713 4045 35 consequently consequently RB 39713 4045 36 worthy worthy JJ 39713 4045 37 of of IN 39713 4045 38 our -PRON- PRP$ 39713 4045 39 efforts effort NNS 39713 4045 40 . . . 39713 4046 1 The the DT 39713 4046 2 first first JJ 39713 4046 3 example example NN 39713 4046 4 I -PRON- PRP 39713 4046 5 shall shall MD 39713 4046 6 cite cite VB 39713 4046 7 is be VBZ 39713 4046 8 so so RB 39713 4046 9 old old JJ 39713 4046 10 we -PRON- PRP 39713 4046 11 are be VBP 39713 4046 12 tempted tempt VBN 39713 4046 13 to to TO 39713 4046 14 forget forget VB 39713 4046 15 it -PRON- PRP 39713 4046 16 ; ; : 39713 4046 17 it -PRON- PRP 39713 4046 18 is be VBZ 39713 4046 19 nevertheless nevertheless RB 39713 4046 20 the the DT 39713 4046 21 most most RBS 39713 4046 22 important important JJ 39713 4046 23 of of IN 39713 4046 24 all all DT 39713 4046 25 . . . 39713 4047 1 The the DT 39713 4047 2 sole sole JJ 39713 4047 3 natural natural JJ 39713 4047 4 object object NN 39713 4047 5 of of IN 39713 4047 6 mathematical mathematical JJ 39713 4047 7 thought thought NN 39713 4047 8 is be VBZ 39713 4047 9 the the DT 39713 4047 10 whole whole JJ 39713 4047 11 number number NN 39713 4047 12 . . . 39713 4048 1 It -PRON- PRP 39713 4048 2 is be VBZ 39713 4048 3 the the DT 39713 4048 4 external external JJ 39713 4048 5 world world NN 39713 4048 6 which which WDT 39713 4048 7 has have VBZ 39713 4048 8 imposed impose VBN 39713 4048 9 the the DT 39713 4048 10 continuum continuum NN 39713 4048 11 upon upon IN 39713 4048 12 us -PRON- PRP 39713 4048 13 , , , 39713 4048 14 which which WDT 39713 4048 15 we -PRON- PRP 39713 4048 16 doubtless doubtless RB 39713 4048 17 have have VBP 39713 4048 18 invented invent VBN 39713 4048 19 , , , 39713 4048 20 but but CC 39713 4048 21 which which WDT 39713 4048 22 it -PRON- PRP 39713 4048 23 has have VBZ 39713 4048 24 forced force VBN 39713 4048 25 us -PRON- PRP 39713 4048 26 to to TO 39713 4048 27 invent invent VB 39713 4048 28 . . . 39713 4049 1 Without without IN 39713 4049 2 it -PRON- PRP 39713 4049 3 there there EX 39713 4049 4 would would MD 39713 4049 5 be be VB 39713 4049 6 no no DT 39713 4049 7 infinitesimal infinitesimal JJ 39713 4049 8 analysis analysis NN 39713 4049 9 ; ; : 39713 4049 10 all all DT 39713 4049 11 mathematical mathematical JJ 39713 4049 12 science science NN 39713 4049 13 would would MD 39713 4049 14 reduce reduce VB 39713 4049 15 itself -PRON- PRP 39713 4049 16 to to IN 39713 4049 17 arithmetic arithmetic JJ 39713 4049 18 or or CC 39713 4049 19 to to IN 39713 4049 20 the the DT 39713 4049 21 theory theory NN 39713 4049 22 of of IN 39713 4049 23 substitutions substitution NNS 39713 4049 24 . . . 39713 4050 1 On on IN 39713 4050 2 the the DT 39713 4050 3 contrary contrary NN 39713 4050 4 , , , 39713 4050 5 we -PRON- PRP 39713 4050 6 have have VBP 39713 4050 7 devoted devote VBN 39713 4050 8 to to IN 39713 4050 9 the the DT 39713 4050 10 study study NN 39713 4050 11 of of IN 39713 4050 12 the the DT 39713 4050 13 continuum continuum NN 39713 4050 14 almost almost RB 39713 4050 15 all all PDT 39713 4050 16 our -PRON- PRP$ 39713 4050 17 time time NN 39713 4050 18 and and CC 39713 4050 19 all all PDT 39713 4050 20 our -PRON- PRP$ 39713 4050 21 strength strength NN 39713 4050 22 . . . 39713 4051 1 Who who WP 39713 4051 2 will will MD 39713 4051 3 regret regret VB 39713 4051 4 it -PRON- PRP 39713 4051 5 ; ; : 39713 4051 6 who who WP 39713 4051 7 will will MD 39713 4051 8 think think VB 39713 4051 9 that that IN 39713 4051 10 this this DT 39713 4051 11 time time NN 39713 4051 12 and and CC 39713 4051 13 this this DT 39713 4051 14 strength strength NN 39713 4051 15 have have VBP 39713 4051 16 been be VBN 39713 4051 17 wasted waste VBN 39713 4051 18 ? ? . 39713 4052 1 Analysis analysis NN 39713 4052 2 unfolds unfold VBZ 39713 4052 3 before before IN 39713 4052 4 us -PRON- PRP 39713 4052 5 infinite infinite NNP 39713 4052 6 perspectives perspective VBZ 39713 4052 7 that that WDT 39713 4052 8 arithmetic arithmetic JJ 39713 4052 9 never never RB 39713 4052 10 suspects suspect VBZ 39713 4052 11 ; ; : 39713 4052 12 it -PRON- PRP 39713 4052 13 shows show VBZ 39713 4052 14 us -PRON- PRP 39713 4052 15 at at IN 39713 4052 16 a a DT 39713 4052 17 glance glance NN 39713 4052 18 a a DT 39713 4052 19 majestic majestic JJ 39713 4052 20 assemblage assemblage NN 39713 4052 21 whose whose WP$ 39713 4052 22 array array NN 39713 4052 23 is be VBZ 39713 4052 24 simple simple JJ 39713 4052 25 and and CC 39713 4052 26 symmetric symmetric JJ 39713 4052 27 ; ; : 39713 4052 28 on on IN 39713 4052 29 the the DT 39713 4052 30 contrary contrary NN 39713 4052 31 , , , 39713 4052 32 in in IN 39713 4052 33 the the DT 39713 4052 34 theory theory NN 39713 4052 35 of of IN 39713 4052 36 numbers number NNS 39713 4052 37 , , , 39713 4052 38 where where WRB 39713 4052 39 reigns reigns NNP 39713 4052 40 the the DT 39713 4052 41 unforeseen unforeseen NN 39713 4052 42 , , , 39713 4052 43 the the DT 39713 4052 44 view view NN 39713 4052 45 is be VBZ 39713 4052 46 , , , 39713 4052 47 so so RB 39713 4052 48 to to TO 39713 4052 49 speak speak VB 39713 4052 50 , , , 39713 4052 51 arrested arrest VBN 39713 4052 52 at at IN 39713 4052 53 every every DT 39713 4052 54 step step NN 39713 4052 55 . . . 39713 4053 1 Doubtless doubtless VB 39713 4053 2 it -PRON- PRP 39713 4053 3 will will MD 39713 4053 4 be be VB 39713 4053 5 said say VBN 39713 4053 6 that that IN 39713 4053 7 outside outside IN 39713 4053 8 of of IN 39713 4053 9 the the DT 39713 4053 10 whole whole JJ 39713 4053 11 number number NN 39713 4053 12 there there EX 39713 4053 13 is be VBZ 39713 4053 14 no no DT 39713 4053 15 rigor rigor NN 39713 4053 16 , , , 39713 4053 17 and and CC 39713 4053 18 consequently consequently RB 39713 4053 19 no no DT 39713 4053 20 mathematical mathematical JJ 39713 4053 21 truth truth NN 39713 4053 22 ; ; : 39713 4053 23 that that IN 39713 4053 24 the the DT 39713 4053 25 whole whole JJ 39713 4053 26 number number NN 39713 4053 27 hides hide VBZ 39713 4053 28 everywhere everywhere RB 39713 4053 29 , , , 39713 4053 30 and and CC 39713 4053 31 that that IN 39713 4053 32 we -PRON- PRP 39713 4053 33 must must MD 39713 4053 34 strive strive VB 39713 4053 35 to to TO 39713 4053 36 render render VB 39713 4053 37 transparent transparent JJ 39713 4053 38 the the DT 39713 4053 39 screens screen NNS 39713 4053 40 which which WDT 39713 4053 41 cloak cloak VBP 39713 4053 42 it -PRON- PRP 39713 4053 43 , , , 39713 4053 44 even even RB 39713 4053 45 if if IN 39713 4053 46 to to TO 39713 4053 47 do do VB 39713 4053 48 so so RB 39713 4053 49 we -PRON- PRP 39713 4053 50 must must MD 39713 4053 51 resign resign VB 39713 4053 52 ourselves -PRON- PRP 39713 4053 53 to to IN 39713 4053 54 interminable interminable JJ 39713 4053 55 repetitions repetition NNS 39713 4053 56 . . . 39713 4054 1 Let let VB 39713 4054 2 us -PRON- PRP 39713 4054 3 not not RB 39713 4054 4 be be VB 39713 4054 5 such such JJ 39713 4054 6 purists purist NNS 39713 4054 7 and and CC 39713 4054 8 let let VB 39713 4054 9 us -PRON- PRP 39713 4054 10 be be VB 39713 4054 11 grateful grateful JJ 39713 4054 12 to to IN 39713 4054 13 the the DT 39713 4054 14 continuum continuum NN 39713 4054 15 , , , 39713 4054 16 which which WDT 39713 4054 17 , , , 39713 4054 18 if if IN 39713 4054 19 _ _ NNP 39713 4054 20 all all DT 39713 4054 21 _ _ NNP 39713 4054 22 springs spring NNS 39713 4054 23 from from IN 39713 4054 24 the the DT 39713 4054 25 whole whole JJ 39713 4054 26 number number NN 39713 4054 27 , , , 39713 4054 28 was be VBD 39713 4054 29 alone alone RB 39713 4054 30 capable capable JJ 39713 4054 31 of of IN 39713 4054 32 making make VBG 39713 4054 33 _ _ NNP 39713 4054 34 so so RB 39713 4054 35 much much RB 39713 4054 36 _ _ NNP 39713 4054 37 proceed proceed VBP 39713 4054 38 therefrom therefrom NN 39713 4054 39 . . . 39713 4055 1 Need need VBP 39713 4055 2 I -PRON- PRP 39713 4055 3 also also RB 39713 4055 4 recall recall VBP 39713 4055 5 that that IN 39713 4055 6 M. M. NNP 39713 4055 7 Hermite Hermite NNP 39713 4055 8 obtained obtain VBD 39713 4055 9 a a DT 39713 4055 10 surprising surprising JJ 39713 4055 11 advantage advantage NN 39713 4055 12 from from IN 39713 4055 13 the the DT 39713 4055 14 introduction introduction NN 39713 4055 15 of of IN 39713 4055 16 continuous continuous JJ 39713 4055 17 variables variable NNS 39713 4055 18 into into IN 39713 4055 19 the the DT 39713 4055 20 theory theory NN 39713 4055 21 of of IN 39713 4055 22 numbers number NNS 39713 4055 23 ? ? . 39713 4056 1 Thus thus RB 39713 4056 2 the the DT 39713 4056 3 whole whole JJ 39713 4056 4 number number NN 39713 4056 5 's 's POS 39713 4056 6 own own JJ 39713 4056 7 domain domain NN 39713 4056 8 is be VBZ 39713 4056 9 itself -PRON- PRP 39713 4056 10 invaded invade VBN 39713 4056 11 , , , 39713 4056 12 and and CC 39713 4056 13 this this DT 39713 4056 14 invasion invasion NN 39713 4056 15 has have VBZ 39713 4056 16 established establish VBN 39713 4056 17 order order NN 39713 4056 18 where where WRB 39713 4056 19 disorder disorder NN 39713 4056 20 reigned reign VBD 39713 4056 21 . . . 39713 4057 1 See see VB 39713 4057 2 what what WP 39713 4057 3 we -PRON- PRP 39713 4057 4 owe owe VBP 39713 4057 5 to to IN 39713 4057 6 the the DT 39713 4057 7 continuum continuum NN 39713 4057 8 and and CC 39713 4057 9 consequently consequently RB 39713 4057 10 to to IN 39713 4057 11 physical physical JJ 39713 4057 12 nature nature NN 39713 4057 13 . . . 39713 4058 1 Fourier Fourier NNP 39713 4058 2 's 's POS 39713 4058 3 series series NN 39713 4058 4 is be VBZ 39713 4058 5 a a DT 39713 4058 6 precious precious JJ 39713 4058 7 instrument instrument NN 39713 4058 8 of of IN 39713 4058 9 which which WDT 39713 4058 10 analysis analysis NN 39713 4058 11 makes make VBZ 39713 4058 12 continual continual JJ 39713 4058 13 use use NN 39713 4058 14 , , , 39713 4058 15 it -PRON- PRP 39713 4058 16 is be VBZ 39713 4058 17 by by IN 39713 4058 18 this this DT 39713 4058 19 means mean VBZ 39713 4058 20 that that IN 39713 4058 21 it -PRON- PRP 39713 4058 22 has have VBZ 39713 4058 23 been be VBN 39713 4058 24 able able JJ 39713 4058 25 to to TO 39713 4058 26 represent represent VB 39713 4058 27 discontinuous discontinuous JJ 39713 4058 28 functions function NNS 39713 4058 29 ; ; : 39713 4058 30 Fourier Fourier NNP 39713 4058 31 invented invent VBD 39713 4058 32 it -PRON- PRP 39713 4058 33 to to TO 39713 4058 34 solve solve VB 39713 4058 35 a a DT 39713 4058 36 problem problem NN 39713 4058 37 of of IN 39713 4058 38 physics physics NN 39713 4058 39 relative relative JJ 39713 4058 40 to to IN 39713 4058 41 the the DT 39713 4058 42 propagation propagation NN 39713 4058 43 of of IN 39713 4058 44 heat heat NN 39713 4058 45 . . . 39713 4059 1 If if IN 39713 4059 2 this this DT 39713 4059 3 problem problem NN 39713 4059 4 had have VBD 39713 4059 5 not not RB 39713 4059 6 come come VBN 39713 4059 7 up up RP 39713 4059 8 naturally naturally RB 39713 4059 9 , , , 39713 4059 10 we -PRON- PRP 39713 4059 11 should should MD 39713 4059 12 never never RB 39713 4059 13 have have VB 39713 4059 14 dared dare VBN 39713 4059 15 to to TO 39713 4059 16 give give VB 39713 4059 17 discontinuity discontinuity NN 39713 4059 18 its -PRON- PRP$ 39713 4059 19 rights right NNS 39713 4059 20 ; ; : 39713 4059 21 we -PRON- PRP 39713 4059 22 should should MD 39713 4059 23 still still RB 39713 4059 24 long long RB 39713 4059 25 have have VB 39713 4059 26 regarded regard VBN 39713 4059 27 continuous continuous JJ 39713 4059 28 functions function NNS 39713 4059 29 as as IN 39713 4059 30 the the DT 39713 4059 31 only only JJ 39713 4059 32 true true JJ 39713 4059 33 functions function NNS 39713 4059 34 . . . 39713 4060 1 The the DT 39713 4060 2 notion notion NN 39713 4060 3 of of IN 39713 4060 4 function function NN 39713 4060 5 has have VBZ 39713 4060 6 been be VBN 39713 4060 7 thereby thereby RB 39713 4060 8 considerably considerably RB 39713 4060 9 extended extend VBN 39713 4060 10 and and CC 39713 4060 11 has have VBZ 39713 4060 12 received receive VBN 39713 4060 13 from from IN 39713 4060 14 some some DT 39713 4060 15 logician logician NN 39713 4060 16 - - HYPH 39713 4060 17 analysts analyst NNS 39713 4060 18 an an DT 39713 4060 19 unforeseen unforeseen JJ 39713 4060 20 development development NN 39713 4060 21 . . . 39713 4061 1 These these DT 39713 4061 2 analysts analyst NNS 39713 4061 3 have have VBP 39713 4061 4 thus thus RB 39713 4061 5 adventured adventure VBN 39713 4061 6 into into IN 39713 4061 7 regions region NNS 39713 4061 8 where where WRB 39713 4061 9 reigns reigns NNP 39713 4061 10 the the DT 39713 4061 11 purest pure JJS 39713 4061 12 abstraction abstraction NN 39713 4061 13 and and CC 39713 4061 14 have have VBP 39713 4061 15 gone go VBN 39713 4061 16 as as RB 39713 4061 17 far far RB 39713 4061 18 away away RB 39713 4061 19 as as IN 39713 4061 20 possible possible JJ 39713 4061 21 from from IN 39713 4061 22 the the DT 39713 4061 23 real real JJ 39713 4061 24 world world NN 39713 4061 25 . . . 39713 4062 1 Yet yet CC 39713 4062 2 it -PRON- PRP 39713 4062 3 is be VBZ 39713 4062 4 a a DT 39713 4062 5 problem problem NN 39713 4062 6 of of IN 39713 4062 7 physics physics NN 39713 4062 8 which which WDT 39713 4062 9 has have VBZ 39713 4062 10 furnished furnish VBN 39713 4062 11 them -PRON- PRP 39713 4062 12 the the DT 39713 4062 13 occasion occasion NN 39713 4062 14 . . . 39713 4063 1 After after IN 39713 4063 2 Fourier Fourier NNP 39713 4063 3 's 's POS 39713 4063 4 series series NN 39713 4063 5 , , , 39713 4063 6 other other JJ 39713 4063 7 analogous analogous JJ 39713 4063 8 series series NN 39713 4063 9 have have VBP 39713 4063 10 entered enter VBN 39713 4063 11 the the DT 39713 4063 12 domain domain NN 39713 4063 13 of of IN 39713 4063 14 analysis analysis NN 39713 4063 15 ; ; : 39713 4063 16 they -PRON- PRP 39713 4063 17 have have VBP 39713 4063 18 entered enter VBN 39713 4063 19 by by IN 39713 4063 20 the the DT 39713 4063 21 same same JJ 39713 4063 22 door door NN 39713 4063 23 ; ; : 39713 4063 24 they -PRON- PRP 39713 4063 25 have have VBP 39713 4063 26 been be VBN 39713 4063 27 imagined imagine VBN 39713 4063 28 in in IN 39713 4063 29 view view NN 39713 4063 30 of of IN 39713 4063 31 applications application NNS 39713 4063 32 . . . 39713 4064 1 The the DT 39713 4064 2 theory theory NN 39713 4064 3 of of IN 39713 4064 4 partial partial JJ 39713 4064 5 differential differential NN 39713 4064 6 equations equation NNS 39713 4064 7 of of IN 39713 4064 8 the the DT 39713 4064 9 second second JJ 39713 4064 10 order order NN 39713 4064 11 has have VBZ 39713 4064 12 an an DT 39713 4064 13 analogous analogous JJ 39713 4064 14 history history NN 39713 4064 15 . . . 39713 4065 1 It -PRON- PRP 39713 4065 2 has have VBZ 39713 4065 3 been be VBN 39713 4065 4 developed develop VBN 39713 4065 5 chiefly chiefly RB 39713 4065 6 by by RB 39713 4065 7 and and CC 39713 4065 8 for for IN 39713 4065 9 physics physics NN 39713 4065 10 . . . 39713 4066 1 But but CC 39713 4066 2 it -PRON- PRP 39713 4066 3 may may MD 39713 4066 4 take take VB 39713 4066 5 many many JJ 39713 4066 6 forms form NNS 39713 4066 7 , , , 39713 4066 8 because because IN 39713 4066 9 such such PDT 39713 4066 10 an an DT 39713 4066 11 equation equation NN 39713 4066 12 does do VBZ 39713 4066 13 not not RB 39713 4066 14 suffice suffice VB 39713 4066 15 to to TO 39713 4066 16 determine determine VB 39713 4066 17 the the DT 39713 4066 18 unknown unknown JJ 39713 4066 19 function function NN 39713 4066 20 , , , 39713 4066 21 it -PRON- PRP 39713 4066 22 is be VBZ 39713 4066 23 necessary necessary JJ 39713 4066 24 to to TO 39713 4066 25 adjoin adjoin VB 39713 4066 26 to to IN 39713 4066 27 it -PRON- PRP 39713 4066 28 complementary complementary JJ 39713 4066 29 conditions condition NNS 39713 4066 30 which which WDT 39713 4066 31 are be VBP 39713 4066 32 called call VBN 39713 4066 33 conditions condition NNS 39713 4066 34 at at IN 39713 4066 35 the the DT 39713 4066 36 limits limit NNS 39713 4066 37 ; ; : 39713 4066 38 whence whence NN 39713 4066 39 many many JJ 39713 4066 40 different different JJ 39713 4066 41 problems problem NNS 39713 4066 42 . . . 39713 4067 1 If if IN 39713 4067 2 the the DT 39713 4067 3 analysts analyst NNS 39713 4067 4 had have VBD 39713 4067 5 abandoned abandon VBN 39713 4067 6 themselves -PRON- PRP 39713 4067 7 to to IN 39713 4067 8 their -PRON- PRP$ 39713 4067 9 natural natural JJ 39713 4067 10 tendencies tendency NNS 39713 4067 11 , , , 39713 4067 12 they -PRON- PRP 39713 4067 13 would would MD 39713 4067 14 never never RB 39713 4067 15 have have VB 39713 4067 16 known know VBN 39713 4067 17 but but CC 39713 4067 18 one one CD 39713 4067 19 , , , 39713 4067 20 that that WDT 39713 4067 21 which which WDT 39713 4067 22 Madame Madame NNP 39713 4067 23 Kovalevski Kovalevski NNP 39713 4067 24 has have VBZ 39713 4067 25 treated treat VBN 39713 4067 26 in in IN 39713 4067 27 her -PRON- PRP$ 39713 4067 28 celebrated celebrated JJ 39713 4067 29 memoir memoir NN 39713 4067 30 . . . 39713 4068 1 But but CC 39713 4068 2 there there EX 39713 4068 3 are be VBP 39713 4068 4 a a DT 39713 4068 5 multitude multitude NN 39713 4068 6 of of IN 39713 4068 7 others other NNS 39713 4068 8 which which WDT 39713 4068 9 they -PRON- PRP 39713 4068 10 would would MD 39713 4068 11 have have VB 39713 4068 12 ignored ignore VBN 39713 4068 13 . . . 39713 4069 1 Each each DT 39713 4069 2 of of IN 39713 4069 3 the the DT 39713 4069 4 theories theory NNS 39713 4069 5 of of IN 39713 4069 6 physics physics NN 39713 4069 7 , , , 39713 4069 8 that that DT 39713 4069 9 of of IN 39713 4069 10 electricity electricity NN 39713 4069 11 , , , 39713 4069 12 that that DT 39713 4069 13 of of IN 39713 4069 14 heat heat NN 39713 4069 15 , , , 39713 4069 16 presents present VBZ 39713 4069 17 us -PRON- PRP 39713 4069 18 these these DT 39713 4069 19 equations equation NNS 39713 4069 20 under under IN 39713 4069 21 a a DT 39713 4069 22 new new JJ 39713 4069 23 aspect aspect NN 39713 4069 24 . . . 39713 4070 1 It -PRON- PRP 39713 4070 2 may may MD 39713 4070 3 , , , 39713 4070 4 therefore therefore RB 39713 4070 5 , , , 39713 4070 6 be be VB 39713 4070 7 said say VBN 39713 4070 8 that that IN 39713 4070 9 without without IN 39713 4070 10 these these DT 39713 4070 11 theories theory NNS 39713 4070 12 we -PRON- PRP 39713 4070 13 should should MD 39713 4070 14 not not RB 39713 4070 15 know know VB 39713 4070 16 partial partial JJ 39713 4070 17 differential differential NN 39713 4070 18 equations equation NNS 39713 4070 19 . . . 39713 4071 1 It -PRON- PRP 39713 4071 2 is be VBZ 39713 4071 3 needless needless JJ 39713 4071 4 to to TO 39713 4071 5 multiply multiply VB 39713 4071 6 examples example NNS 39713 4071 7 . . . 39713 4072 1 I -PRON- PRP 39713 4072 2 have have VBP 39713 4072 3 given give VBN 39713 4072 4 enough enough JJ 39713 4072 5 to to TO 39713 4072 6 be be VB 39713 4072 7 able able JJ 39713 4072 8 to to TO 39713 4072 9 conclude conclude VB 39713 4072 10 : : : 39713 4072 11 when when WRB 39713 4072 12 physicists physicist NNS 39713 4072 13 ask ask VBP 39713 4072 14 of of IN 39713 4072 15 us -PRON- PRP 39713 4072 16 the the DT 39713 4072 17 solution solution NN 39713 4072 18 of of IN 39713 4072 19 a a DT 39713 4072 20 problem problem NN 39713 4072 21 , , , 39713 4072 22 it -PRON- PRP 39713 4072 23 is be VBZ 39713 4072 24 not not RB 39713 4072 25 a a DT 39713 4072 26 duty duty NN 39713 4072 27 - - HYPH 39713 4072 28 service service NN 39713 4072 29 they -PRON- PRP 39713 4072 30 impose impose VBP 39713 4072 31 upon upon IN 39713 4072 32 us -PRON- PRP 39713 4072 33 , , , 39713 4072 34 it -PRON- PRP 39713 4072 35 is be VBZ 39713 4072 36 on on IN 39713 4072 37 the the DT 39713 4072 38 contrary contrary NN 39713 4072 39 we -PRON- PRP 39713 4072 40 who who WP 39713 4072 41 owe owe VBP 39713 4072 42 them -PRON- PRP 39713 4072 43 thanks thank NNS 39713 4072 44 . . . 39713 4073 1 IV IV NNP 39713 4073 2 But but CC 39713 4073 3 this this DT 39713 4073 4 is be VBZ 39713 4073 5 not not RB 39713 4073 6 all all DT 39713 4073 7 ; ; : 39713 4073 8 physics physics NN 39713 4073 9 not not RB 39713 4073 10 only only RB 39713 4073 11 gives give VBZ 39713 4073 12 us -PRON- PRP 39713 4073 13 the the DT 39713 4073 14 occasion occasion NN 39713 4073 15 to to TO 39713 4073 16 solve solve VB 39713 4073 17 problems problem NNS 39713 4073 18 ; ; : 39713 4073 19 it -PRON- PRP 39713 4073 20 aids aid VBZ 39713 4073 21 us -PRON- PRP 39713 4073 22 to to TO 39713 4073 23 find find VB 39713 4073 24 the the DT 39713 4073 25 means mean NNS 39713 4073 26 thereto thereto NNP 39713 4073 27 , , , 39713 4073 28 and and CC 39713 4073 29 that that IN 39713 4073 30 in in IN 39713 4073 31 two two CD 39713 4073 32 ways way NNS 39713 4073 33 . . . 39713 4074 1 It -PRON- PRP 39713 4074 2 makes make VBZ 39713 4074 3 us -PRON- PRP 39713 4074 4 foresee foresee VB 39713 4074 5 the the DT 39713 4074 6 solution solution NN 39713 4074 7 ; ; : 39713 4074 8 it -PRON- PRP 39713 4074 9 suggests suggest VBZ 39713 4074 10 arguments argument NNS 39713 4074 11 to to IN 39713 4074 12 us -PRON- PRP 39713 4074 13 . . . 39713 4075 1 I -PRON- PRP 39713 4075 2 have have VBP 39713 4075 3 spoken speak VBN 39713 4075 4 above above RB 39713 4075 5 of of IN 39713 4075 6 Laplace Laplace NNP 39713 4075 7 's 's POS 39713 4075 8 equation equation NN 39713 4075 9 which which WDT 39713 4075 10 is be VBZ 39713 4075 11 met meet VBN 39713 4075 12 in in IN 39713 4075 13 a a DT 39713 4075 14 multitude multitude NN 39713 4075 15 of of IN 39713 4075 16 diverse diverse JJ 39713 4075 17 physical physical JJ 39713 4075 18 theories theory NNS 39713 4075 19 . . . 39713 4076 1 It -PRON- PRP 39713 4076 2 is be VBZ 39713 4076 3 found find VBN 39713 4076 4 again again RB 39713 4076 5 in in IN 39713 4076 6 geometry geometry NN 39713 4076 7 , , , 39713 4076 8 in in IN 39713 4076 9 the the DT 39713 4076 10 theory theory NN 39713 4076 11 of of IN 39713 4076 12 conformal conformal JJ 39713 4076 13 representation representation NN 39713 4076 14 and and CC 39713 4076 15 in in IN 39713 4076 16 pure pure JJ 39713 4076 17 analysis analysis NN 39713 4076 18 , , , 39713 4076 19 in in IN 39713 4076 20 that that DT 39713 4076 21 of of IN 39713 4076 22 imaginaries imaginary NNS 39713 4076 23 . . . 39713 4077 1 In in IN 39713 4077 2 this this DT 39713 4077 3 way way NN 39713 4077 4 , , , 39713 4077 5 in in IN 39713 4077 6 the the DT 39713 4077 7 study study NN 39713 4077 8 of of IN 39713 4077 9 functions function NNS 39713 4077 10 of of IN 39713 4077 11 complex complex JJ 39713 4077 12 variables variable NNS 39713 4077 13 , , , 39713 4077 14 the the DT 39713 4077 15 analyst analyst NN 39713 4077 16 , , , 39713 4077 17 alongside alongside IN 39713 4077 18 of of IN 39713 4077 19 the the DT 39713 4077 20 geometric geometric JJ 39713 4077 21 image image NN 39713 4077 22 , , , 39713 4077 23 which which WDT 39713 4077 24 is be VBZ 39713 4077 25 his -PRON- PRP$ 39713 4077 26 usual usual JJ 39713 4077 27 instrument instrument NN 39713 4077 28 , , , 39713 4077 29 finds find VBZ 39713 4077 30 many many JJ 39713 4077 31 physical physical JJ 39713 4077 32 images image NNS 39713 4077 33 which which WDT 39713 4077 34 he -PRON- PRP 39713 4077 35 may may MD 39713 4077 36 make make VB 39713 4077 37 use use NN 39713 4077 38 of of IN 39713 4077 39 with with IN 39713 4077 40 the the DT 39713 4077 41 same same JJ 39713 4077 42 success success NN 39713 4077 43 . . . 39713 4078 1 Thanks thank NNS 39713 4078 2 to to IN 39713 4078 3 these these DT 39713 4078 4 images image NNS 39713 4078 5 , , , 39713 4078 6 he -PRON- PRP 39713 4078 7 can can MD 39713 4078 8 see see VB 39713 4078 9 at at IN 39713 4078 10 a a DT 39713 4078 11 glance glance NN 39713 4078 12 what what WDT 39713 4078 13 pure pure JJ 39713 4078 14 deduction deduction NN 39713 4078 15 would would MD 39713 4078 16 show show VB 39713 4078 17 him -PRON- PRP 39713 4078 18 only only RB 39713 4078 19 successively successively RB 39713 4078 20 . . . 39713 4079 1 He -PRON- PRP 39713 4079 2 masses mass VBZ 39713 4079 3 thus thus RB 39713 4079 4 the the DT 39713 4079 5 separate separate JJ 39713 4079 6 elements element NNS 39713 4079 7 of of IN 39713 4079 8 the the DT 39713 4079 9 solution solution NN 39713 4079 10 , , , 39713 4079 11 and and CC 39713 4079 12 by by IN 39713 4079 13 a a DT 39713 4079 14 sort sort NN 39713 4079 15 of of IN 39713 4079 16 intuition intuition NN 39713 4079 17 divines divine NNS 39713 4079 18 before before IN 39713 4079 19 being be VBG 39713 4079 20 able able JJ 39713 4079 21 to to TO 39713 4079 22 demonstrate demonstrate VB 39713 4079 23 . . . 39713 4080 1 To to TO 39713 4080 2 divine divine VB 39713 4080 3 before before IN 39713 4080 4 demonstrating demonstrate VBG 39713 4080 5 ! ! . 39713 4081 1 Need need VBP 39713 4081 2 I -PRON- PRP 39713 4081 3 recall recall VBP 39713 4081 4 that that IN 39713 4081 5 thus thus RB 39713 4081 6 have have VBP 39713 4081 7 been be VBN 39713 4081 8 made make VBN 39713 4081 9 all all PDT 39713 4081 10 the the DT 39713 4081 11 important important JJ 39713 4081 12 discoveries discovery NNS 39713 4081 13 ? ? . 39713 4082 1 How how WRB 39713 4082 2 many many JJ 39713 4082 3 are be VBP 39713 4082 4 the the DT 39713 4082 5 truths truth NNS 39713 4082 6 that that IN 39713 4082 7 physical physical JJ 39713 4082 8 analogies analogy NNS 39713 4082 9 permit permit VBP 39713 4082 10 us -PRON- PRP 39713 4082 11 to to TO 39713 4082 12 present present VB 39713 4082 13 and and CC 39713 4082 14 that that IN 39713 4082 15 we -PRON- PRP 39713 4082 16 are be VBP 39713 4082 17 not not RB 39713 4082 18 in in IN 39713 4082 19 condition condition NN 39713 4082 20 to to TO 39713 4082 21 establish establish VB 39713 4082 22 by by IN 39713 4082 23 rigorous rigorous JJ 39713 4082 24 reasoning reasoning NN 39713 4082 25 ! ! . 39713 4083 1 For for IN 39713 4083 2 example example NN 39713 4083 3 , , , 39713 4083 4 mathematical mathematical JJ 39713 4083 5 physics physics NN 39713 4083 6 introduces introduce VBZ 39713 4083 7 a a DT 39713 4083 8 great great JJ 39713 4083 9 number number NN 39713 4083 10 of of IN 39713 4083 11 developments development NNS 39713 4083 12 in in IN 39713 4083 13 series series NN 39713 4083 14 . . . 39713 4084 1 No no DT 39713 4084 2 one one NN 39713 4084 3 doubts doubt VBZ 39713 4084 4 that that IN 39713 4084 5 these these DT 39713 4084 6 developments development NNS 39713 4084 7 converge converge VBP 39713 4084 8 ; ; : 39713 4084 9 but but CC 39713 4084 10 the the DT 39713 4084 11 mathematical mathematical JJ 39713 4084 12 certitude certitude NN 39713 4084 13 is be VBZ 39713 4084 14 lacking lack VBG 39713 4084 15 . . . 39713 4085 1 These these DT 39713 4085 2 are be VBP 39713 4085 3 so so RB 39713 4085 4 many many JJ 39713 4085 5 conquests conquest NNS 39713 4085 6 assured assure VBN 39713 4085 7 for for IN 39713 4085 8 the the DT 39713 4085 9 investigators investigator NNS 39713 4085 10 who who WP 39713 4085 11 shall shall MD 39713 4085 12 come come VB 39713 4085 13 after after IN 39713 4085 14 us -PRON- PRP 39713 4085 15 . . . 39713 4086 1 On on IN 39713 4086 2 the the DT 39713 4086 3 other other JJ 39713 4086 4 hand hand NN 39713 4086 5 , , , 39713 4086 6 physics physics NN 39713 4086 7 furnishes furnish VBZ 39713 4086 8 us -PRON- PRP 39713 4086 9 not not RB 39713 4086 10 alone alone JJ 39713 4086 11 solutions solution NNS 39713 4086 12 ; ; : 39713 4086 13 it -PRON- PRP 39713 4086 14 furnishes furnish VBZ 39713 4086 15 us -PRON- PRP 39713 4086 16 besides besides RB 39713 4086 17 , , , 39713 4086 18 in in IN 39713 4086 19 a a DT 39713 4086 20 certain certain JJ 39713 4086 21 measure measure NN 39713 4086 22 , , , 39713 4086 23 arguments argument NNS 39713 4086 24 . . . 39713 4087 1 It -PRON- PRP 39713 4087 2 will will MD 39713 4087 3 suffice suffice VB 39713 4087 4 to to TO 39713 4087 5 recall recall VB 39713 4087 6 how how WRB 39713 4087 7 Felix Felix NNP 39713 4087 8 Klein Klein NNP 39713 4087 9 , , , 39713 4087 10 in in IN 39713 4087 11 a a DT 39713 4087 12 question question NN 39713 4087 13 relative relative JJ 39713 4087 14 to to IN 39713 4087 15 Riemann Riemann NNP 39713 4087 16 surfaces surface NNS 39713 4087 17 , , , 39713 4087 18 has have VBZ 39713 4087 19 had have VBN 39713 4087 20 recourse recourse VBN 39713 4087 21 to to IN 39713 4087 22 the the DT 39713 4087 23 properties property NNS 39713 4087 24 of of IN 39713 4087 25 electric electric JJ 39713 4087 26 currents current NNS 39713 4087 27 . . . 39713 4088 1 It -PRON- PRP 39713 4088 2 is be VBZ 39713 4088 3 true true JJ 39713 4088 4 , , , 39713 4088 5 the the DT 39713 4088 6 arguments argument NNS 39713 4088 7 of of IN 39713 4088 8 this this DT 39713 4088 9 species specie NNS 39713 4088 10 are be VBP 39713 4088 11 not not RB 39713 4088 12 rigorous rigorous JJ 39713 4088 13 , , , 39713 4088 14 in in IN 39713 4088 15 the the DT 39713 4088 16 sense sense NN 39713 4088 17 the the DT 39713 4088 18 analyst analyst NN 39713 4088 19 attaches attach VBZ 39713 4088 20 to to IN 39713 4088 21 this this DT 39713 4088 22 word word NN 39713 4088 23 . . . 39713 4089 1 And and CC 39713 4089 2 here here RB 39713 4089 3 a a DT 39713 4089 4 question question NN 39713 4089 5 arises arise VBZ 39713 4089 6 : : : 39713 4089 7 How how WRB 39713 4089 8 can can MD 39713 4089 9 a a DT 39713 4089 10 demonstration demonstration NN 39713 4089 11 not not RB 39713 4089 12 sufficiently sufficiently RB 39713 4089 13 rigorous rigorous JJ 39713 4089 14 for for IN 39713 4089 15 the the DT 39713 4089 16 analyst analyst NN 39713 4089 17 suffice suffice NN 39713 4089 18 for for IN 39713 4089 19 the the DT 39713 4089 20 physicist physicist NN 39713 4089 21 ? ? . 39713 4090 1 It -PRON- PRP 39713 4090 2 seems seem VBZ 39713 4090 3 there there EX 39713 4090 4 can can MD 39713 4090 5 not not RB 39713 4090 6 be be VB 39713 4090 7 two two CD 39713 4090 8 rigors rigor NNS 39713 4090 9 , , , 39713 4090 10 that that IN 39713 4090 11 rigor rigor NN 39713 4090 12 is be VBZ 39713 4090 13 or or CC 39713 4090 14 is be VBZ 39713 4090 15 not not RB 39713 4090 16 , , , 39713 4090 17 and and CC 39713 4090 18 that that IN 39713 4090 19 , , , 39713 4090 20 where where WRB 39713 4090 21 it -PRON- PRP 39713 4090 22 is be VBZ 39713 4090 23 not not RB 39713 4090 24 there there EX 39713 4090 25 can can MD 39713 4090 26 not not RB 39713 4090 27 be be VB 39713 4090 28 deduction deduction NN 39713 4090 29 . . . 39713 4091 1 This this DT 39713 4091 2 apparent apparent JJ 39713 4091 3 paradox paradox NN 39713 4091 4 will will MD 39713 4091 5 be be VB 39713 4091 6 better well RBR 39713 4091 7 understood understand VBN 39713 4091 8 by by IN 39713 4091 9 recalling recall VBG 39713 4091 10 under under IN 39713 4091 11 what what WDT 39713 4091 12 conditions condition NNS 39713 4091 13 number number NN 39713 4091 14 is be VBZ 39713 4091 15 applied apply VBN 39713 4091 16 to to IN 39713 4091 17 natural natural JJ 39713 4091 18 phenomena phenomenon NNS 39713 4091 19 . . . 39713 4092 1 Whence whence NN 39713 4092 2 come come VBP 39713 4092 3 in in IN 39713 4092 4 general general JJ 39713 4092 5 the the DT 39713 4092 6 difficulties difficulty NNS 39713 4092 7 encountered encounter VBN 39713 4092 8 in in IN 39713 4092 9 seeking seek VBG 39713 4092 10 rigor rigor NN 39713 4092 11 ? ? . 39713 4093 1 We -PRON- PRP 39713 4093 2 strike strike VBP 39713 4093 3 them -PRON- PRP 39713 4093 4 almost almost RB 39713 4093 5 always always RB 39713 4093 6 in in IN 39713 4093 7 seeking seek VBG 39713 4093 8 to to TO 39713 4093 9 establish establish VB 39713 4093 10 that that IN 39713 4093 11 some some DT 39713 4093 12 quantity quantity NN 39713 4093 13 tends tend VBZ 39713 4093 14 to to IN 39713 4093 15 some some DT 39713 4093 16 limit limit NN 39713 4093 17 , , , 39713 4093 18 or or CC 39713 4093 19 that that IN 39713 4093 20 some some DT 39713 4093 21 function function NN 39713 4093 22 is be VBZ 39713 4093 23 continuous continuous JJ 39713 4093 24 , , , 39713 4093 25 or or CC 39713 4093 26 that that IN 39713 4093 27 it -PRON- PRP 39713 4093 28 has have VBZ 39713 4093 29 a a DT 39713 4093 30 derivative derivative NN 39713 4093 31 . . . 39713 4094 1 Now now RB 39713 4094 2 the the DT 39713 4094 3 numbers number NNS 39713 4094 4 the the DT 39713 4094 5 physicist physicist JJ 39713 4094 6 measures measure NNS 39713 4094 7 by by IN 39713 4094 8 experiment experiment NN 39713 4094 9 are be VBP 39713 4094 10 never never RB 39713 4094 11 known know VBN 39713 4094 12 except except IN 39713 4094 13 approximately approximately RB 39713 4094 14 ; ; : 39713 4094 15 and and CC 39713 4094 16 besides besides RB 39713 4094 17 , , , 39713 4094 18 any any DT 39713 4094 19 function function NN 39713 4094 20 always always RB 39713 4094 21 differs differ VBZ 39713 4094 22 as as RB 39713 4094 23 little little JJ 39713 4094 24 as as IN 39713 4094 25 you -PRON- PRP 39713 4094 26 choose choose VBP 39713 4094 27 from from IN 39713 4094 28 a a DT 39713 4094 29 discontinuous discontinuous JJ 39713 4094 30 function function NN 39713 4094 31 , , , 39713 4094 32 and and CC 39713 4094 33 at at IN 39713 4094 34 the the DT 39713 4094 35 same same JJ 39713 4094 36 time time NN 39713 4094 37 it -PRON- PRP 39713 4094 38 differs differ VBZ 39713 4094 39 as as RB 39713 4094 40 little little JJ 39713 4094 41 as as IN 39713 4094 42 you -PRON- PRP 39713 4094 43 choose choose VBP 39713 4094 44 from from IN 39713 4094 45 a a DT 39713 4094 46 continuous continuous JJ 39713 4094 47 function function NN 39713 4094 48 . . . 39713 4095 1 The the DT 39713 4095 2 physicist physicist NN 39713 4095 3 may may MD 39713 4095 4 , , , 39713 4095 5 therefore therefore RB 39713 4095 6 , , , 39713 4095 7 at at IN 39713 4095 8 will will MD 39713 4095 9 suppose suppose VB 39713 4095 10 that that IN 39713 4095 11 the the DT 39713 4095 12 function function NN 39713 4095 13 studied study VBN 39713 4095 14 is be VBZ 39713 4095 15 continuous continuous JJ 39713 4095 16 , , , 39713 4095 17 or or CC 39713 4095 18 that that IN 39713 4095 19 it -PRON- PRP 39713 4095 20 is be VBZ 39713 4095 21 discontinuous discontinuous JJ 39713 4095 22 ; ; : 39713 4095 23 that that IN 39713 4095 24 it -PRON- PRP 39713 4095 25 has have VBZ 39713 4095 26 or or CC 39713 4095 27 has have VBZ 39713 4095 28 not not RB 39713 4095 29 a a DT 39713 4095 30 derivative derivative NN 39713 4095 31 ; ; : 39713 4095 32 and and CC 39713 4095 33 may may MD 39713 4095 34 do do VB 39713 4095 35 so so RB 39713 4095 36 without without IN 39713 4095 37 fear fear NN 39713 4095 38 of of IN 39713 4095 39 ever ever RB 39713 4095 40 being be VBG 39713 4095 41 contradicted contradict VBN 39713 4095 42 , , , 39713 4095 43 either either CC 39713 4095 44 by by IN 39713 4095 45 present present JJ 39713 4095 46 experience experience NN 39713 4095 47 or or CC 39713 4095 48 by by IN 39713 4095 49 any any DT 39713 4095 50 future future JJ 39713 4095 51 experiment experiment NN 39713 4095 52 . . . 39713 4096 1 We -PRON- PRP 39713 4096 2 see see VBP 39713 4096 3 that that IN 39713 4096 4 with with IN 39713 4096 5 such such JJ 39713 4096 6 liberty liberty NN 39713 4096 7 he -PRON- PRP 39713 4096 8 makes make VBZ 39713 4096 9 sport sport NN 39713 4096 10 of of IN 39713 4096 11 difficulties difficulty NNS 39713 4096 12 which which WDT 39713 4096 13 stop stop VBP 39713 4096 14 the the DT 39713 4096 15 analyst analyst NN 39713 4096 16 . . . 39713 4097 1 He -PRON- PRP 39713 4097 2 may may MD 39713 4097 3 always always RB 39713 4097 4 reason reason VB 39713 4097 5 as as IN 39713 4097 6 if if IN 39713 4097 7 all all PDT 39713 4097 8 the the DT 39713 4097 9 functions function NNS 39713 4097 10 which which WDT 39713 4097 11 occur occur VBP 39713 4097 12 in in IN 39713 4097 13 his -PRON- PRP$ 39713 4097 14 calculations calculation NNS 39713 4097 15 were be VBD 39713 4097 16 entire entire JJ 39713 4097 17 polynomials polynomial NNS 39713 4097 18 . . . 39713 4098 1 Thus thus RB 39713 4098 2 the the DT 39713 4098 3 sketch sketch NN 39713 4098 4 which which WDT 39713 4098 5 suffices suffice VBZ 39713 4098 6 for for IN 39713 4098 7 physics physics NN 39713 4098 8 is be VBZ 39713 4098 9 not not RB 39713 4098 10 the the DT 39713 4098 11 deduction deduction NN 39713 4098 12 which which WDT 39713 4098 13 analysis analysis NN 39713 4098 14 requires require VBZ 39713 4098 15 . . . 39713 4099 1 It -PRON- PRP 39713 4099 2 does do VBZ 39713 4099 3 not not RB 39713 4099 4 follow follow VB 39713 4099 5 thence thence NN 39713 4099 6 that that WDT 39713 4099 7 one one PRP 39713 4099 8 can can MD 39713 4099 9 not not RB 39713 4099 10 aid aid VB 39713 4099 11 in in IN 39713 4099 12 finding find VBG 39713 4099 13 the the DT 39713 4099 14 other other JJ 39713 4099 15 . . . 39713 4100 1 So so RB 39713 4100 2 many many JJ 39713 4100 3 physical physical JJ 39713 4100 4 sketches sketch NNS 39713 4100 5 have have VBP 39713 4100 6 already already RB 39713 4100 7 been be VBN 39713 4100 8 transformed transform VBN 39713 4100 9 into into IN 39713 4100 10 rigorous rigorous JJ 39713 4100 11 demonstrations demonstration NNS 39713 4100 12 that that IN 39713 4100 13 to to IN 39713 4100 14 - - HYPH 39713 4100 15 day day NN 39713 4100 16 this this DT 39713 4100 17 transformation transformation NN 39713 4100 18 is be VBZ 39713 4100 19 easy easy JJ 39713 4100 20 . . . 39713 4101 1 There there EX 39713 4101 2 would would MD 39713 4101 3 be be VB 39713 4101 4 plenty plenty NN 39713 4101 5 of of IN 39713 4101 6 examples example NNS 39713 4101 7 did do VBD 39713 4101 8 I -PRON- PRP 39713 4101 9 not not RB 39713 4101 10 fear fear VB 39713 4101 11 in in IN 39713 4101 12 citing cite VBG 39713 4101 13 them -PRON- PRP 39713 4101 14 to to TO 39713 4101 15 tire tire VB 39713 4101 16 the the DT 39713 4101 17 reader reader NN 39713 4101 18 . . . 39713 4102 1 I -PRON- PRP 39713 4102 2 hope hope VBP 39713 4102 3 I -PRON- PRP 39713 4102 4 have have VBP 39713 4102 5 said say VBN 39713 4102 6 enough enough JJ 39713 4102 7 to to TO 39713 4102 8 show show VB 39713 4102 9 that that DT 39713 4102 10 pure pure JJ 39713 4102 11 analysis analysis NN 39713 4102 12 and and CC 39713 4102 13 mathematical mathematical JJ 39713 4102 14 physics physics NN 39713 4102 15 may may MD 39713 4102 16 serve serve VB 39713 4102 17 one one CD 39713 4102 18 another another DT 39713 4102 19 without without IN 39713 4102 20 making make VBG 39713 4102 21 any any DT 39713 4102 22 sacrifice sacrifice NN 39713 4102 23 one one CD 39713 4102 24 to to IN 39713 4102 25 the the DT 39713 4102 26 other other JJ 39713 4102 27 , , , 39713 4102 28 and and CC 39713 4102 29 that that IN 39713 4102 30 each each DT 39713 4102 31 of of IN 39713 4102 32 these these DT 39713 4102 33 two two CD 39713 4102 34 sciences science NNS 39713 4102 35 should should MD 39713 4102 36 rejoice rejoice VB 39713 4102 37 in in IN 39713 4102 38 all all DT 39713 4102 39 which which WDT 39713 4102 40 elevates elevate VBZ 39713 4102 41 its -PRON- PRP$ 39713 4102 42 associate associate NN 39713 4102 43 . . . 39713 4103 1 CHAPTER chapter NN 39713 4103 2 VI VI NNP 39713 4103 3 ASTRONOMY ASTRONOMY NNP 39713 4103 4 Governments government NNS 39713 4103 5 and and CC 39713 4103 6 parliaments parliament NNS 39713 4103 7 must must MD 39713 4103 8 find find VB 39713 4103 9 that that IN 39713 4103 10 astronomy astronomy NN 39713 4103 11 is be VBZ 39713 4103 12 one one CD 39713 4103 13 of of IN 39713 4103 14 the the DT 39713 4103 15 sciences science NNS 39713 4103 16 which which WDT 39713 4103 17 cost cost VBD 39713 4103 18 most most JJS 39713 4103 19 dear dear JJ 39713 4103 20 : : : 39713 4103 21 the the DT 39713 4103 22 least least JJS 39713 4103 23 instrument instrument NN 39713 4103 24 costs cost VBZ 39713 4103 25 hundreds hundred NNS 39713 4103 26 of of IN 39713 4103 27 thousands thousand NNS 39713 4103 28 of of IN 39713 4103 29 dollars dollar NNS 39713 4103 30 , , , 39713 4103 31 the the DT 39713 4103 32 least least JJS 39713 4103 33 observatory observatory JJ 39713 4103 34 costs cost NNS 39713 4103 35 millions million NNS 39713 4103 36 ; ; : 39713 4103 37 each each DT 39713 4103 38 eclipse eclipse NN 39713 4103 39 carries carry VBZ 39713 4103 40 with with IN 39713 4103 41 it -PRON- PRP 39713 4103 42 supplementary supplementary JJ 39713 4103 43 appropriations appropriation NNS 39713 4103 44 . . . 39713 4104 1 And and CC 39713 4104 2 all all PDT 39713 4104 3 that that DT 39713 4104 4 for for IN 39713 4104 5 stars star NNS 39713 4104 6 which which WDT 39713 4104 7 are be VBP 39713 4104 8 so so RB 39713 4104 9 far far RB 39713 4104 10 away away RB 39713 4104 11 , , , 39713 4104 12 which which WDT 39713 4104 13 are be VBP 39713 4104 14 complete complete JJ 39713 4104 15 strangers stranger NNS 39713 4104 16 to to IN 39713 4104 17 our -PRON- PRP$ 39713 4104 18 electoral electoral JJ 39713 4104 19 contests contest NNS 39713 4104 20 , , , 39713 4104 21 and and CC 39713 4104 22 in in IN 39713 4104 23 all all DT 39713 4104 24 probability probability NN 39713 4104 25 will will MD 39713 4104 26 never never RB 39713 4104 27 take take VB 39713 4104 28 any any DT 39713 4104 29 part part NN 39713 4104 30 in in IN 39713 4104 31 them -PRON- PRP 39713 4104 32 . . . 39713 4105 1 It -PRON- PRP 39713 4105 2 must must MD 39713 4105 3 be be VB 39713 4105 4 that that IN 39713 4105 5 our -PRON- PRP$ 39713 4105 6 politicians politician NNS 39713 4105 7 have have VBP 39713 4105 8 retained retain VBN 39713 4105 9 a a DT 39713 4105 10 remnant remnant NN 39713 4105 11 of of IN 39713 4105 12 idealism idealism NN 39713 4105 13 , , , 39713 4105 14 a a DT 39713 4105 15 vague vague JJ 39713 4105 16 instinct instinct NN 39713 4105 17 for for IN 39713 4105 18 what what WP 39713 4105 19 is be VBZ 39713 4105 20 grand grand JJ 39713 4105 21 ; ; : 39713 4105 22 truly truly RB 39713 4105 23 , , , 39713 4105 24 I -PRON- PRP 39713 4105 25 think think VBP 39713 4105 26 they -PRON- PRP 39713 4105 27 have have VBP 39713 4105 28 been be VBN 39713 4105 29 calumniated calumniate VBN 39713 4105 30 ; ; : 39713 4105 31 they -PRON- PRP 39713 4105 32 should should MD 39713 4105 33 be be VB 39713 4105 34 encouraged encourage VBN 39713 4105 35 and and CC 39713 4105 36 shown show VBN 39713 4105 37 that that IN 39713 4105 38 this this DT 39713 4105 39 instinct instinct NN 39713 4105 40 does do VBZ 39713 4105 41 not not RB 39713 4105 42 deceive deceive VB 39713 4105 43 them -PRON- PRP 39713 4105 44 , , , 39713 4105 45 that that IN 39713 4105 46 they -PRON- PRP 39713 4105 47 are be VBP 39713 4105 48 not not RB 39713 4105 49 dupes dupe NNS 39713 4105 50 of of IN 39713 4105 51 that that DT 39713 4105 52 idealism idealism NN 39713 4105 53 . . . 39713 4106 1 We -PRON- PRP 39713 4106 2 might may MD 39713 4106 3 indeed indeed RB 39713 4106 4 speak speak VB 39713 4106 5 to to IN 39713 4106 6 them -PRON- PRP 39713 4106 7 of of IN 39713 4106 8 navigation navigation NN 39713 4106 9 , , , 39713 4106 10 of of IN 39713 4106 11 which which WDT 39713 4106 12 no no DT 39713 4106 13 one one NN 39713 4106 14 can can MD 39713 4106 15 underestimate underestimate VB 39713 4106 16 the the DT 39713 4106 17 importance importance NN 39713 4106 18 , , , 39713 4106 19 and and CC 39713 4106 20 which which WDT 39713 4106 21 has have VBZ 39713 4106 22 need need NN 39713 4106 23 of of IN 39713 4106 24 astronomy astronomy NN 39713 4106 25 . . . 39713 4107 1 But but CC 39713 4107 2 this this DT 39713 4107 3 would would MD 39713 4107 4 be be VB 39713 4107 5 to to TO 39713 4107 6 take take VB 39713 4107 7 the the DT 39713 4107 8 question question NN 39713 4107 9 by by IN 39713 4107 10 its -PRON- PRP$ 39713 4107 11 smaller small JJR 39713 4107 12 side side NN 39713 4107 13 . . . 39713 4108 1 Astronomy Astronomy NNP 39713 4108 2 is be VBZ 39713 4108 3 useful useful JJ 39713 4108 4 because because IN 39713 4108 5 it -PRON- PRP 39713 4108 6 raises raise VBZ 39713 4108 7 us -PRON- PRP 39713 4108 8 above above IN 39713 4108 9 ourselves -PRON- PRP 39713 4108 10 ; ; : 39713 4108 11 it -PRON- PRP 39713 4108 12 is be VBZ 39713 4108 13 useful useful JJ 39713 4108 14 because because IN 39713 4108 15 it -PRON- PRP 39713 4108 16 is be VBZ 39713 4108 17 grand grand JJ 39713 4108 18 ; ; : 39713 4108 19 that that DT 39713 4108 20 is be VBZ 39713 4108 21 what what WP 39713 4108 22 we -PRON- PRP 39713 4108 23 should should MD 39713 4108 24 say say VB 39713 4108 25 . . . 39713 4109 1 It -PRON- PRP 39713 4109 2 shows show VBZ 39713 4109 3 us -PRON- PRP 39713 4109 4 how how WRB 39713 4109 5 small small JJ 39713 4109 6 is be VBZ 39713 4109 7 man man NN 39713 4109 8 's 's POS 39713 4109 9 body body NN 39713 4109 10 , , , 39713 4109 11 how how WRB 39713 4109 12 great great JJ 39713 4109 13 his -PRON- PRP$ 39713 4109 14 mind mind NN 39713 4109 15 , , , 39713 4109 16 since since IN 39713 4109 17 his -PRON- PRP$ 39713 4109 18 intelligence intelligence NN 39713 4109 19 can can MD 39713 4109 20 embrace embrace VB 39713 4109 21 the the DT 39713 4109 22 whole whole NN 39713 4109 23 of of IN 39713 4109 24 this this DT 39713 4109 25 dazzling dazzle VBG 39713 4109 26 immensity immensity NN 39713 4109 27 , , , 39713 4109 28 where where WRB 39713 4109 29 his -PRON- PRP$ 39713 4109 30 body body NN 39713 4109 31 is be VBZ 39713 4109 32 only only RB 39713 4109 33 an an DT 39713 4109 34 obscure obscure JJ 39713 4109 35 point point NN 39713 4109 36 , , , 39713 4109 37 and and CC 39713 4109 38 enjoy enjoy VB 39713 4109 39 its -PRON- PRP$ 39713 4109 40 silent silent JJ 39713 4109 41 harmony harmony NN 39713 4109 42 . . . 39713 4110 1 Thus thus RB 39713 4110 2 we -PRON- PRP 39713 4110 3 attain attain VBP 39713 4110 4 the the DT 39713 4110 5 consciousness consciousness NN 39713 4110 6 of of IN 39713 4110 7 our -PRON- PRP$ 39713 4110 8 power power NN 39713 4110 9 , , , 39713 4110 10 and and CC 39713 4110 11 this this DT 39713 4110 12 is be VBZ 39713 4110 13 something something NN 39713 4110 14 which which WDT 39713 4110 15 can can MD 39713 4110 16 not not RB 39713 4110 17 cost cost VB 39713 4110 18 too too RB 39713 4110 19 dear dear JJ 39713 4110 20 , , , 39713 4110 21 since since IN 39713 4110 22 this this DT 39713 4110 23 consciousness consciousness NN 39713 4110 24 makes make VBZ 39713 4110 25 us -PRON- PRP 39713 4110 26 mightier mighty JJR 39713 4110 27 . . . 39713 4111 1 But but CC 39713 4111 2 what what WP 39713 4111 3 I -PRON- PRP 39713 4111 4 should should MD 39713 4111 5 wish wish VB 39713 4111 6 before before IN 39713 4111 7 all all DT 39713 4111 8 to to TO 39713 4111 9 show show VB 39713 4111 10 is be VBZ 39713 4111 11 , , , 39713 4111 12 to to IN 39713 4111 13 what what WDT 39713 4111 14 point point NN 39713 4111 15 astronomy astronomy NN 39713 4111 16 has have VBZ 39713 4111 17 facilitated facilitate VBN 39713 4111 18 the the DT 39713 4111 19 work work NN 39713 4111 20 of of IN 39713 4111 21 the the DT 39713 4111 22 other other JJ 39713 4111 23 sciences science NNS 39713 4111 24 , , , 39713 4111 25 more more RBR 39713 4111 26 directly directly RB 39713 4111 27 useful useful JJ 39713 4111 28 , , , 39713 4111 29 since since IN 39713 4111 30 it -PRON- PRP 39713 4111 31 has have VBZ 39713 4111 32 given give VBN 39713 4111 33 us -PRON- PRP 39713 4111 34 a a DT 39713 4111 35 soul soul NN 39713 4111 36 capable capable JJ 39713 4111 37 of of IN 39713 4111 38 comprehending comprehend VBG 39713 4111 39 nature nature NN 39713 4111 40 . . . 39713 4112 1 Think think VB 39713 4112 2 how how WRB 39713 4112 3 diminished diminished JJ 39713 4112 4 humanity humanity NN 39713 4112 5 would would MD 39713 4112 6 be be VB 39713 4112 7 if if IN 39713 4112 8 , , , 39713 4112 9 under under IN 39713 4112 10 heavens heaven NNS 39713 4112 11 constantly constantly RB 39713 4112 12 overclouded overcloud VBN 39713 4112 13 , , , 39713 4112 14 as as IN 39713 4112 15 Jupiter Jupiter NNP 39713 4112 16 's 's POS 39713 4112 17 must must MD 39713 4112 18 be be VB 39713 4112 19 , , , 39713 4112 20 it -PRON- PRP 39713 4112 21 had have VBD 39713 4112 22 forever forever RB 39713 4112 23 remained remain VBN 39713 4112 24 ignorant ignorant JJ 39713 4112 25 of of IN 39713 4112 26 the the DT 39713 4112 27 stars star NNS 39713 4112 28 . . . 39713 4113 1 Do do VBP 39713 4113 2 you -PRON- PRP 39713 4113 3 think think VB 39713 4113 4 that that IN 39713 4113 5 in in IN 39713 4113 6 such such PDT 39713 4113 7 a a DT 39713 4113 8 world world NN 39713 4113 9 we -PRON- PRP 39713 4113 10 should should MD 39713 4113 11 be be VB 39713 4113 12 what what WP 39713 4113 13 we -PRON- PRP 39713 4113 14 are be VBP 39713 4113 15 ? ? . 39713 4114 1 I -PRON- PRP 39713 4114 2 know know VBP 39713 4114 3 well well UH 39713 4114 4 that that IN 39713 4114 5 under under IN 39713 4114 6 this this DT 39713 4114 7 somber somber JJ 39713 4114 8 vault vault NN 39713 4114 9 we -PRON- PRP 39713 4114 10 should should MD 39713 4114 11 have have VB 39713 4114 12 been be VBN 39713 4114 13 deprived deprive VBN 39713 4114 14 of of IN 39713 4114 15 the the DT 39713 4114 16 light light NN 39713 4114 17 of of IN 39713 4114 18 the the DT 39713 4114 19 sun sun NN 39713 4114 20 , , , 39713 4114 21 necessary necessary JJ 39713 4114 22 to to IN 39713 4114 23 organisms organism NNS 39713 4114 24 like like IN 39713 4114 25 those those DT 39713 4114 26 which which WDT 39713 4114 27 inhabit inhabit VBP 39713 4114 28 the the DT 39713 4114 29 earth earth NN 39713 4114 30 . . . 39713 4115 1 But but CC 39713 4115 2 if if IN 39713 4115 3 you -PRON- PRP 39713 4115 4 please please VBP 39713 4115 5 , , , 39713 4115 6 we -PRON- PRP 39713 4115 7 shall shall MD 39713 4115 8 assume assume VB 39713 4115 9 that that IN 39713 4115 10 these these DT 39713 4115 11 clouds cloud NNS 39713 4115 12 are be VBP 39713 4115 13 phosphorescent phosphorescent JJ 39713 4115 14 and and CC 39713 4115 15 emit emit VB 39713 4115 16 a a DT 39713 4115 17 soft soft JJ 39713 4115 18 and and CC 39713 4115 19 constant constant JJ 39713 4115 20 light light NN 39713 4115 21 . . . 39713 4116 1 Since since IN 39713 4116 2 we -PRON- PRP 39713 4116 3 are be VBP 39713 4116 4 making make VBG 39713 4116 5 hypotheses hypothesis NNS 39713 4116 6 , , , 39713 4116 7 another another DT 39713 4116 8 will will MD 39713 4116 9 cost cost VB 39713 4116 10 no no DT 39713 4116 11 more more JJR 39713 4116 12 . . . 39713 4117 1 Well well UH 39713 4117 2 ! ! . 39713 4118 1 I -PRON- PRP 39713 4118 2 repeat repeat VBP 39713 4118 3 my -PRON- PRP$ 39713 4118 4 question question NN 39713 4118 5 : : : 39713 4118 6 Do do VBP 39713 4118 7 you -PRON- PRP 39713 4118 8 think think VB 39713 4118 9 that that IN 39713 4118 10 in in IN 39713 4118 11 such such PDT 39713 4118 12 a a DT 39713 4118 13 world world NN 39713 4118 14 we -PRON- PRP 39713 4118 15 should should MD 39713 4118 16 be be VB 39713 4118 17 what what WP 39713 4118 18 we -PRON- PRP 39713 4118 19 are be VBP 39713 4118 20 ? ? . 39713 4119 1 The the DT 39713 4119 2 stars star NNS 39713 4119 3 send send VBP 39713 4119 4 us -PRON- PRP 39713 4119 5 not not RB 39713 4119 6 only only RB 39713 4119 7 that that DT 39713 4119 8 visible visible JJ 39713 4119 9 and and CC 39713 4119 10 gross gross JJ 39713 4119 11 light light NN 39713 4119 12 which which WDT 39713 4119 13 strikes strike VBZ 39713 4119 14 our -PRON- PRP$ 39713 4119 15 bodily bodily JJ 39713 4119 16 eyes eye NNS 39713 4119 17 , , , 39713 4119 18 but but CC 39713 4119 19 from from IN 39713 4119 20 them -PRON- PRP 39713 4119 21 also also RB 39713 4119 22 comes come VBZ 39713 4119 23 to to IN 39713 4119 24 us -PRON- PRP 39713 4119 25 a a DT 39713 4119 26 light light NN 39713 4119 27 far far RB 39713 4119 28 more more RBR 39713 4119 29 subtle subtle JJ 39713 4119 30 , , , 39713 4119 31 which which WDT 39713 4119 32 illuminates illuminate VBZ 39713 4119 33 our -PRON- PRP$ 39713 4119 34 minds mind NNS 39713 4119 35 and and CC 39713 4119 36 whose whose WP$ 39713 4119 37 effects effect NNS 39713 4119 38 I -PRON- PRP 39713 4119 39 shall shall MD 39713 4119 40 try try VB 39713 4119 41 to to TO 39713 4119 42 show show VB 39713 4119 43 you -PRON- PRP 39713 4119 44 . . . 39713 4120 1 You -PRON- PRP 39713 4120 2 know know VBP 39713 4120 3 what what WP 39713 4120 4 man man NN 39713 4120 5 was be VBD 39713 4120 6 on on IN 39713 4120 7 the the DT 39713 4120 8 earth earth NN 39713 4120 9 some some DT 39713 4120 10 thousands thousand NNS 39713 4120 11 of of IN 39713 4120 12 years year NNS 39713 4120 13 ago ago RB 39713 4120 14 , , , 39713 4120 15 and and CC 39713 4120 16 what what WP 39713 4120 17 he -PRON- PRP 39713 4120 18 is be VBZ 39713 4120 19 to to IN 39713 4120 20 - - HYPH 39713 4120 21 day day NN 39713 4120 22 . . . 39713 4121 1 Isolated isolate VBN 39713 4121 2 amidst amidst IN 39713 4121 3 a a DT 39713 4121 4 nature nature NN 39713 4121 5 where where WRB 39713 4121 6 everything everything NN 39713 4121 7 was be VBD 39713 4121 8 a a DT 39713 4121 9 mystery mystery NN 39713 4121 10 to to IN 39713 4121 11 him -PRON- PRP 39713 4121 12 , , , 39713 4121 13 terrified terrify VBD 39713 4121 14 at at IN 39713 4121 15 each each DT 39713 4121 16 unexpected unexpected JJ 39713 4121 17 manifestation manifestation NN 39713 4121 18 of of IN 39713 4121 19 incomprehensible incomprehensible JJ 39713 4121 20 forces force NNS 39713 4121 21 , , , 39713 4121 22 he -PRON- PRP 39713 4121 23 was be VBD 39713 4121 24 incapable incapable JJ 39713 4121 25 of of IN 39713 4121 26 seeing see VBG 39713 4121 27 in in IN 39713 4121 28 the the DT 39713 4121 29 conduct conduct NN 39713 4121 30 of of IN 39713 4121 31 the the DT 39713 4121 32 universe universe JJ 39713 4121 33 anything anything NN 39713 4121 34 but but IN 39713 4121 35 caprice caprice NN 39713 4121 36 ; ; : 39713 4121 37 he -PRON- PRP 39713 4121 38 attributed attribute VBD 39713 4121 39 all all DT 39713 4121 40 phenomena phenomenon NNS 39713 4121 41 to to IN 39713 4121 42 the the DT 39713 4121 43 action action NN 39713 4121 44 of of IN 39713 4121 45 a a DT 39713 4121 46 multitude multitude NN 39713 4121 47 of of IN 39713 4121 48 little little JJ 39713 4121 49 genii genii NNP 39713 4121 50 , , , 39713 4121 51 fantastic fantastic JJ 39713 4121 52 and and CC 39713 4121 53 exacting exacting NN 39713 4121 54 , , , 39713 4121 55 and and CC 39713 4121 56 to to TO 39713 4121 57 act act VB 39713 4121 58 on on IN 39713 4121 59 the the DT 39713 4121 60 world world NN 39713 4121 61 he -PRON- PRP 39713 4121 62 sought seek VBD 39713 4121 63 to to TO 39713 4121 64 conciliate conciliate VB 39713 4121 65 them -PRON- PRP 39713 4121 66 by by IN 39713 4121 67 means mean NNS 39713 4121 68 analogous analogous JJ 39713 4121 69 to to IN 39713 4121 70 those those DT 39713 4121 71 employed employ VBN 39713 4121 72 to to TO 39713 4121 73 gain gain VB 39713 4121 74 the the DT 39713 4121 75 good good JJ 39713 4121 76 graces grace NNS 39713 4121 77 of of IN 39713 4121 78 a a DT 39713 4121 79 minister minister NN 39713 4121 80 or or CC 39713 4121 81 a a DT 39713 4121 82 deputy deputy NN 39713 4121 83 . . . 39713 4122 1 Even even RB 39713 4122 2 his -PRON- PRP$ 39713 4122 3 failures failure NNS 39713 4122 4 did do VBD 39713 4122 5 not not RB 39713 4122 6 enlighten enlighten VB 39713 4122 7 him -PRON- PRP 39713 4122 8 , , , 39713 4122 9 any any DT 39713 4122 10 more more RBR 39713 4122 11 than than IN 39713 4122 12 to to IN 39713 4122 13 - - HYPH 39713 4122 14 day day NN 39713 4122 15 a a DT 39713 4122 16 beggar beggar NN 39713 4122 17 refused refuse VBN 39713 4122 18 is be VBZ 39713 4122 19 discouraged discourage VBN 39713 4122 20 to to IN 39713 4122 21 the the DT 39713 4122 22 point point NN 39713 4122 23 of of IN 39713 4122 24 ceasing cease VBG 39713 4122 25 to to TO 39713 4122 26 beg beg VB 39713 4122 27 . . . 39713 4123 1 To to IN 39713 4123 2 - - HYPH 39713 4123 3 day day NN 39713 4123 4 we -PRON- PRP 39713 4123 5 no no RB 39713 4123 6 longer long RBR 39713 4123 7 beg beg NN 39713 4123 8 of of IN 39713 4123 9 nature nature NN 39713 4123 10 ; ; : 39713 4123 11 we -PRON- PRP 39713 4123 12 command command VBP 39713 4123 13 her -PRON- PRP 39713 4123 14 , , , 39713 4123 15 because because IN 39713 4123 16 we -PRON- PRP 39713 4123 17 have have VBP 39713 4123 18 discovered discover VBN 39713 4123 19 certain certain JJ 39713 4123 20 of of IN 39713 4123 21 her -PRON- PRP$ 39713 4123 22 secrets secret NNS 39713 4123 23 and and CC 39713 4123 24 shall shall MD 39713 4123 25 discover discover VB 39713 4123 26 others other NNS 39713 4123 27 each each DT 39713 4123 28 day day NN 39713 4123 29 . . . 39713 4124 1 We -PRON- PRP 39713 4124 2 command command VBP 39713 4124 3 her -PRON- PRP 39713 4124 4 in in IN 39713 4124 5 the the DT 39713 4124 6 name name NN 39713 4124 7 of of IN 39713 4124 8 laws law NNS 39713 4124 9 she -PRON- PRP 39713 4124 10 can can MD 39713 4124 11 not not RB 39713 4124 12 challenge challenge VB 39713 4124 13 , , , 39713 4124 14 because because IN 39713 4124 15 they -PRON- PRP 39713 4124 16 are be VBP 39713 4124 17 hers hers JJ 39713 4124 18 ; ; : 39713 4124 19 these these DT 39713 4124 20 laws law NNS 39713 4124 21 we -PRON- PRP 39713 4124 22 do do VBP 39713 4124 23 not not RB 39713 4124 24 madly madly RB 39713 4124 25 ask ask VB 39713 4124 26 her -PRON- PRP 39713 4124 27 to to TO 39713 4124 28 change change VB 39713 4124 29 , , , 39713 4124 30 we -PRON- PRP 39713 4124 31 are be VBP 39713 4124 32 the the DT 39713 4124 33 first first JJ 39713 4124 34 to to TO 39713 4124 35 submit submit VB 39713 4124 36 to to IN 39713 4124 37 them -PRON- PRP 39713 4124 38 . . . 39713 4125 1 Nature nature NN 39713 4125 2 can can MD 39713 4125 3 only only RB 39713 4125 4 be be VB 39713 4125 5 governed govern VBN 39713 4125 6 by by IN 39713 4125 7 obeying obey VBG 39713 4125 8 her -PRON- PRP 39713 4125 9 . . . 39713 4126 1 What what WDT 39713 4126 2 a a DT 39713 4126 3 change change NN 39713 4126 4 must must MD 39713 4126 5 our -PRON- PRP$ 39713 4126 6 souls soul NNS 39713 4126 7 have have VB 39713 4126 8 undergone undergo VBN 39713 4126 9 to to TO 39713 4126 10 pass pass VB 39713 4126 11 from from IN 39713 4126 12 the the DT 39713 4126 13 one one CD 39713 4126 14 state state NN 39713 4126 15 to to IN 39713 4126 16 the the DT 39713 4126 17 other other JJ 39713 4126 18 ! ! . 39713 4127 1 Does do VBZ 39713 4127 2 any any DT 39713 4127 3 one one NN 39713 4127 4 believe believe VB 39713 4127 5 that that IN 39713 4127 6 , , , 39713 4127 7 without without IN 39713 4127 8 the the DT 39713 4127 9 lessons lesson NNS 39713 4127 10 of of IN 39713 4127 11 the the DT 39713 4127 12 stars star NNS 39713 4127 13 , , , 39713 4127 14 under under IN 39713 4127 15 the the DT 39713 4127 16 heavens heavens NNPS 39713 4127 17 perpetually perpetually RB 39713 4127 18 overclouded overcloud VBD 39713 4127 19 that that IN 39713 4127 20 I -PRON- PRP 39713 4127 21 have have VBP 39713 4127 22 just just RB 39713 4127 23 supposed suppose VBN 39713 4127 24 , , , 39713 4127 25 they -PRON- PRP 39713 4127 26 would would MD 39713 4127 27 have have VB 39713 4127 28 changed change VBN 39713 4127 29 so so RB 39713 4127 30 quickly quickly RB 39713 4127 31 ? ? . 39713 4128 1 Would Would MD 39713 4128 2 the the DT 39713 4128 3 metamorphosis metamorphosis NN 39713 4128 4 have have VBP 39713 4128 5 been be VBN 39713 4128 6 possible possible JJ 39713 4128 7 , , , 39713 4128 8 or or CC 39713 4128 9 at at IN 39713 4128 10 least least JJS 39713 4128 11 would would MD 39713 4128 12 it -PRON- PRP 39713 4128 13 not not RB 39713 4128 14 have have VB 39713 4128 15 been be VBN 39713 4128 16 much much RB 39713 4128 17 slower slow JJR 39713 4128 18 ? ? . 39713 4129 1 And and CC 39713 4129 2 first first RB 39713 4129 3 of of IN 39713 4129 4 all all DT 39713 4129 5 , , , 39713 4129 6 astronomy astronomy NN 39713 4129 7 it -PRON- PRP 39713 4129 8 is be VBZ 39713 4129 9 which which WDT 39713 4129 10 taught teach VBN 39713 4129 11 that that IN 39713 4129 12 there there EX 39713 4129 13 are be VBP 39713 4129 14 laws law NNS 39713 4129 15 . . . 39713 4130 1 The the DT 39713 4130 2 Chaldeans Chaldeans NNPS 39713 4130 3 , , , 39713 4130 4 who who WP 39713 4130 5 were be VBD 39713 4130 6 the the DT 39713 4130 7 first first JJ 39713 4130 8 to to TO 39713 4130 9 observe observe VB 39713 4130 10 the the DT 39713 4130 11 heavens heaven NNS 39713 4130 12 with with IN 39713 4130 13 some some DT 39713 4130 14 attention attention NN 39713 4130 15 , , , 39713 4130 16 saw see VBD 39713 4130 17 that that IN 39713 4130 18 this this DT 39713 4130 19 multitude multitude NN 39713 4130 20 of of IN 39713 4130 21 luminous luminous JJ 39713 4130 22 points point NNS 39713 4130 23 is be VBZ 39713 4130 24 not not RB 39713 4130 25 a a DT 39713 4130 26 confused confused JJ 39713 4130 27 crowd crowd NN 39713 4130 28 wandering wander VBG 39713 4130 29 at at IN 39713 4130 30 random random JJ 39713 4130 31 , , , 39713 4130 32 but but CC 39713 4130 33 rather rather RB 39713 4130 34 a a DT 39713 4130 35 disciplined discipline VBN 39713 4130 36 army army NN 39713 4130 37 . . . 39713 4131 1 Doubtless doubtless RB 39713 4131 2 the the DT 39713 4131 3 rules rule NNS 39713 4131 4 of of IN 39713 4131 5 this this DT 39713 4131 6 discipline discipline NN 39713 4131 7 escaped escape VBD 39713 4131 8 them -PRON- PRP 39713 4131 9 , , , 39713 4131 10 but but CC 39713 4131 11 the the DT 39713 4131 12 harmonious harmonious JJ 39713 4131 13 spectacle spectacle NN 39713 4131 14 of of IN 39713 4131 15 the the DT 39713 4131 16 starry starry NN 39713 4131 17 night night NN 39713 4131 18 sufficed suffice VBD 39713 4131 19 to to TO 39713 4131 20 give give VB 39713 4131 21 them -PRON- PRP 39713 4131 22 the the DT 39713 4131 23 impression impression NN 39713 4131 24 of of IN 39713 4131 25 regularity regularity NN 39713 4131 26 , , , 39713 4131 27 and and CC 39713 4131 28 that that DT 39713 4131 29 was be VBD 39713 4131 30 in in IN 39713 4131 31 itself -PRON- PRP 39713 4131 32 already already RB 39713 4131 33 a a DT 39713 4131 34 great great JJ 39713 4131 35 thing thing NN 39713 4131 36 . . . 39713 4132 1 Besides besides RB 39713 4132 2 , , , 39713 4132 3 these these DT 39713 4132 4 rules rule NNS 39713 4132 5 were be VBD 39713 4132 6 discerned discern VBN 39713 4132 7 by by IN 39713 4132 8 Hipparchus Hipparchus NNP 39713 4132 9 , , , 39713 4132 10 Ptolemy Ptolemy NNP 39713 4132 11 , , , 39713 4132 12 Copernicus Copernicus NNP 39713 4132 13 , , , 39713 4132 14 Kepler Kepler NNP 39713 4132 15 , , , 39713 4132 16 one one CD 39713 4132 17 after after IN 39713 4132 18 another another DT 39713 4132 19 , , , 39713 4132 20 and and CC 39713 4132 21 finally finally RB 39713 4132 22 , , , 39713 4132 23 it -PRON- PRP 39713 4132 24 is be VBZ 39713 4132 25 needless needless JJ 39713 4132 26 to to TO 39713 4132 27 recall recall VB 39713 4132 28 that that IN 39713 4132 29 Newton Newton NNP 39713 4132 30 it -PRON- PRP 39713 4132 31 was be VBD 39713 4132 32 who who WP 39713 4132 33 enunciated enunciate VBD 39713 4132 34 the the DT 39713 4132 35 oldest old JJS 39713 4132 36 , , , 39713 4132 37 the the DT 39713 4132 38 most most RBS 39713 4132 39 precise precise JJ 39713 4132 40 , , , 39713 4132 41 the the DT 39713 4132 42 most most RBS 39713 4132 43 simple simple JJ 39713 4132 44 , , , 39713 4132 45 the the DT 39713 4132 46 most most RBS 39713 4132 47 general general JJ 39713 4132 48 of of IN 39713 4132 49 all all DT 39713 4132 50 natural natural JJ 39713 4132 51 laws law NNS 39713 4132 52 . . . 39713 4133 1 And and CC 39713 4133 2 then then RB 39713 4133 3 , , , 39713 4133 4 taught teach VBN 39713 4133 5 by by IN 39713 4133 6 this this DT 39713 4133 7 example example NN 39713 4133 8 , , , 39713 4133 9 we -PRON- PRP 39713 4133 10 have have VBP 39713 4133 11 seen see VBN 39713 4133 12 our -PRON- PRP$ 39713 4133 13 little little JJ 39713 4133 14 terrestrial terrestrial JJ 39713 4133 15 world world NN 39713 4133 16 better well RBR 39713 4133 17 and and CC 39713 4133 18 , , , 39713 4133 19 under under IN 39713 4133 20 the the DT 39713 4133 21 apparent apparent JJ 39713 4133 22 disorder disorder NN 39713 4133 23 , , , 39713 4133 24 there there EX 39713 4133 25 also also RB 39713 4133 26 we -PRON- PRP 39713 4133 27 have have VBP 39713 4133 28 found find VBN 39713 4133 29 again again RB 39713 4133 30 the the DT 39713 4133 31 harmony harmony NN 39713 4133 32 that that IN 39713 4133 33 the the DT 39713 4133 34 study study NN 39713 4133 35 of of IN 39713 4133 36 the the DT 39713 4133 37 heavens heavens NNPS 39713 4133 38 had have VBD 39713 4133 39 revealed reveal VBN 39713 4133 40 to to IN 39713 4133 41 us -PRON- PRP 39713 4133 42 . . . 39713 4134 1 It -PRON- PRP 39713 4134 2 also also RB 39713 4134 3 is be VBZ 39713 4134 4 regular regular JJ 39713 4134 5 , , , 39713 4134 6 it -PRON- PRP 39713 4134 7 also also RB 39713 4134 8 obeys obey VBZ 39713 4134 9 immutable immutable JJ 39713 4134 10 laws law NNS 39713 4134 11 , , , 39713 4134 12 but but CC 39713 4134 13 they -PRON- PRP 39713 4134 14 are be VBP 39713 4134 15 more more RBR 39713 4134 16 complicated complicated JJ 39713 4134 17 , , , 39713 4134 18 in in IN 39713 4134 19 apparent apparent JJ 39713 4134 20 conflict conflict NN 39713 4134 21 one one NN 39713 4134 22 with with IN 39713 4134 23 another another DT 39713 4134 24 , , , 39713 4134 25 and and CC 39713 4134 26 an an DT 39713 4134 27 eye eye NN 39713 4134 28 untrained untrained JJ 39713 4134 29 by by IN 39713 4134 30 other other JJ 39713 4134 31 sights sight NNS 39713 4134 32 would would MD 39713 4134 33 have have VB 39713 4134 34 seen see VBN 39713 4134 35 there there RB 39713 4134 36 only only JJ 39713 4134 37 chaos chaos NN 39713 4134 38 and and CC 39713 4134 39 the the DT 39713 4134 40 reign reign NN 39713 4134 41 of of IN 39713 4134 42 chance chance NN 39713 4134 43 or or CC 39713 4134 44 caprice caprice NN 39713 4134 45 . . . 39713 4135 1 If if IN 39713 4135 2 we -PRON- PRP 39713 4135 3 had have VBD 39713 4135 4 not not RB 39713 4135 5 known know VBN 39713 4135 6 the the DT 39713 4135 7 stars star NNS 39713 4135 8 , , , 39713 4135 9 some some DT 39713 4135 10 bold bold JJ 39713 4135 11 spirits spirit NNS 39713 4135 12 might may MD 39713 4135 13 perhaps perhaps RB 39713 4135 14 have have VB 39713 4135 15 sought seek VBN 39713 4135 16 to to TO 39713 4135 17 foresee foresee VB 39713 4135 18 physical physical JJ 39713 4135 19 phenomena phenomenon NNS 39713 4135 20 ; ; : 39713 4135 21 but but CC 39713 4135 22 their -PRON- PRP$ 39713 4135 23 failures failure NNS 39713 4135 24 would would MD 39713 4135 25 have have VB 39713 4135 26 been be VBN 39713 4135 27 frequent frequent JJ 39713 4135 28 , , , 39713 4135 29 and and CC 39713 4135 30 they -PRON- PRP 39713 4135 31 would would MD 39713 4135 32 have have VB 39713 4135 33 excited excite VBN 39713 4135 34 only only RB 39713 4135 35 the the DT 39713 4135 36 derision derision NN 39713 4135 37 of of IN 39713 4135 38 the the DT 39713 4135 39 vulgar vulgar NN 39713 4135 40 ; ; : 39713 4135 41 do do VBP 39713 4135 42 we -PRON- PRP 39713 4135 43 not not RB 39713 4135 44 see see VB 39713 4135 45 , , , 39713 4135 46 that that IN 39713 4135 47 even even RB 39713 4135 48 in in IN 39713 4135 49 our -PRON- PRP$ 39713 4135 50 day day NN 39713 4135 51 the the DT 39713 4135 52 meteorologists meteorologist NNS 39713 4135 53 sometimes sometimes RB 39713 4135 54 deceive deceive VBP 39713 4135 55 themselves -PRON- PRP 39713 4135 56 , , , 39713 4135 57 and and CC 39713 4135 58 that that IN 39713 4135 59 certain certain JJ 39713 4135 60 persons person NNS 39713 4135 61 are be VBP 39713 4135 62 inclined inclined JJ 39713 4135 63 to to TO 39713 4135 64 laugh laugh VB 39713 4135 65 at at IN 39713 4135 66 them -PRON- PRP 39713 4135 67 . . . 39713 4136 1 How how WRB 39713 4136 2 often often RB 39713 4136 3 would would MD 39713 4136 4 the the DT 39713 4136 5 physicists physicist NNS 39713 4136 6 , , , 39713 4136 7 disheartened dishearten VBN 39713 4136 8 by by IN 39713 4136 9 so so RB 39713 4136 10 many many JJ 39713 4136 11 checks check NNS 39713 4136 12 , , , 39713 4136 13 have have VBP 39713 4136 14 fallen fall VBN 39713 4136 15 into into IN 39713 4136 16 discouragement discouragement NN 39713 4136 17 , , , 39713 4136 18 if if IN 39713 4136 19 they -PRON- PRP 39713 4136 20 had have VBD 39713 4136 21 not not RB 39713 4136 22 had have VBN 39713 4136 23 , , , 39713 4136 24 to to TO 39713 4136 25 sustain sustain VB 39713 4136 26 their -PRON- PRP$ 39713 4136 27 confidence confidence NN 39713 4136 28 , , , 39713 4136 29 the the DT 39713 4136 30 brilliant brilliant JJ 39713 4136 31 example example NN 39713 4136 32 of of IN 39713 4136 33 the the DT 39713 4136 34 success success NN 39713 4136 35 of of IN 39713 4136 36 the the DT 39713 4136 37 astronomers astronomer NNS 39713 4136 38 ! ! . 39713 4137 1 This this DT 39713 4137 2 success success NN 39713 4137 3 showed show VBD 39713 4137 4 them -PRON- PRP 39713 4137 5 that that IN 39713 4137 6 nature nature NN 39713 4137 7 obeys obey VBZ 39713 4137 8 laws law NNS 39713 4137 9 ; ; : 39713 4137 10 it -PRON- PRP 39713 4137 11 only only RB 39713 4137 12 remained remain VBD 39713 4137 13 to to TO 39713 4137 14 know know VB 39713 4137 15 what what WP 39713 4137 16 laws law NNS 39713 4137 17 ; ; , 39713 4137 18 for for IN 39713 4137 19 that that DT 39713 4137 20 they -PRON- PRP 39713 4137 21 only only RB 39713 4137 22 needed need VBD 39713 4137 23 patience patience NN 39713 4137 24 , , , 39713 4137 25 and and CC 39713 4137 26 they -PRON- PRP 39713 4137 27 had have VBD 39713 4137 28 the the DT 39713 4137 29 right right NN 39713 4137 30 to to TO 39713 4137 31 demand demand VB 39713 4137 32 that that IN 39713 4137 33 the the DT 39713 4137 34 sceptics sceptic NNS 39713 4137 35 should should MD 39713 4137 36 give give VB 39713 4137 37 them -PRON- PRP 39713 4137 38 credit credit NN 39713 4137 39 . . . 39713 4138 1 This this DT 39713 4138 2 is be VBZ 39713 4138 3 not not RB 39713 4138 4 all all DT 39713 4138 5 : : : 39713 4138 6 astronomy astronomy NN 39713 4138 7 has have VBZ 39713 4138 8 not not RB 39713 4138 9 only only RB 39713 4138 10 taught teach VBN 39713 4138 11 us -PRON- PRP 39713 4138 12 that that IN 39713 4138 13 there there EX 39713 4138 14 are be VBP 39713 4138 15 laws law NNS 39713 4138 16 , , , 39713 4138 17 but but CC 39713 4138 18 that that IN 39713 4138 19 from from IN 39713 4138 20 these these DT 39713 4138 21 laws law NNS 39713 4138 22 there there RB 39713 4138 23 is be VBZ 39713 4138 24 no no DT 39713 4138 25 escape escape NN 39713 4138 26 , , , 39713 4138 27 that that IN 39713 4138 28 with with IN 39713 4138 29 them -PRON- PRP 39713 4138 30 there there EX 39713 4138 31 is be VBZ 39713 4138 32 no no DT 39713 4138 33 possible possible JJ 39713 4138 34 compromise compromise NN 39713 4138 35 . . . 39713 4139 1 How how WRB 39713 4139 2 much much JJ 39713 4139 3 time time NN 39713 4139 4 should should MD 39713 4139 5 we -PRON- PRP 39713 4139 6 have have VB 39713 4139 7 needed need VBN 39713 4139 8 to to TO 39713 4139 9 comprehend comprehend VB 39713 4139 10 that that DT 39713 4139 11 fact fact NN 39713 4139 12 , , , 39713 4139 13 if if IN 39713 4139 14 we -PRON- PRP 39713 4139 15 had have VBD 39713 4139 16 known know VBN 39713 4139 17 only only RB 39713 4139 18 the the DT 39713 4139 19 terrestrial terrestrial JJ 39713 4139 20 world world NN 39713 4139 21 , , , 39713 4139 22 where where WRB 39713 4139 23 each each DT 39713 4139 24 elemental elemental JJ 39713 4139 25 force force NN 39713 4139 26 would would MD 39713 4139 27 always always RB 39713 4139 28 seem seem VB 39713 4139 29 to to IN 39713 4139 30 us -PRON- PRP 39713 4139 31 in in IN 39713 4139 32 conflict conflict NN 39713 4139 33 with with IN 39713 4139 34 other other JJ 39713 4139 35 forces force NNS 39713 4139 36 ? ? . 39713 4140 1 Astronomy Astronomy NNP 39713 4140 2 has have VBZ 39713 4140 3 taught teach VBN 39713 4140 4 us -PRON- PRP 39713 4140 5 that that IN 39713 4140 6 the the DT 39713 4140 7 laws law NNS 39713 4140 8 are be VBP 39713 4140 9 infinitely infinitely RB 39713 4140 10 precise precise JJ 39713 4140 11 , , , 39713 4140 12 and and CC 39713 4140 13 that that IN 39713 4140 14 if if IN 39713 4140 15 those those DT 39713 4140 16 we -PRON- PRP 39713 4140 17 enunciate enunciate VBP 39713 4140 18 are be VBP 39713 4140 19 approximative approximative JJ 39713 4140 20 , , , 39713 4140 21 it -PRON- PRP 39713 4140 22 is be VBZ 39713 4140 23 because because IN 39713 4140 24 we -PRON- PRP 39713 4140 25 do do VBP 39713 4140 26 not not RB 39713 4140 27 know know VB 39713 4140 28 them -PRON- PRP 39713 4140 29 well well RB 39713 4140 30 . . . 39713 4141 1 Aristotle Aristotle NNP 39713 4141 2 , , , 39713 4141 3 the the DT 39713 4141 4 most most RBS 39713 4141 5 scientific scientific JJ 39713 4141 6 mind mind NN 39713 4141 7 of of IN 39713 4141 8 antiquity antiquity NN 39713 4141 9 , , , 39713 4141 10 still still RB 39713 4141 11 accorded accord VBD 39713 4141 12 a a DT 39713 4141 13 part part NN 39713 4141 14 to to IN 39713 4141 15 accident accident NN 39713 4141 16 , , , 39713 4141 17 to to TO 39713 4141 18 chance chance VB 39713 4141 19 , , , 39713 4141 20 and and CC 39713 4141 21 seemed seem VBD 39713 4141 22 to to TO 39713 4141 23 think think VB 39713 4141 24 that that IN 39713 4141 25 the the DT 39713 4141 26 laws law NNS 39713 4141 27 of of IN 39713 4141 28 nature nature NN 39713 4141 29 , , , 39713 4141 30 at at IN 39713 4141 31 least least JJS 39713 4141 32 here here RB 39713 4141 33 below below RB 39713 4141 34 , , , 39713 4141 35 determine determine VBP 39713 4141 36 only only RB 39713 4141 37 the the DT 39713 4141 38 large large JJ 39713 4141 39 features feature NNS 39713 4141 40 of of IN 39713 4141 41 phenomena phenomenon NNS 39713 4141 42 . . . 39713 4142 1 How how WRB 39713 4142 2 much much JJ 39713 4142 3 has have VBZ 39713 4142 4 the the DT 39713 4142 5 ever ever RB 39713 4142 6 - - HYPH 39713 4142 7 increasing increase VBG 39713 4142 8 precision precision NN 39713 4142 9 of of IN 39713 4142 10 astronomical astronomical JJ 39713 4142 11 predictions prediction NNS 39713 4142 12 contributed contribute VBD 39713 4142 13 to to TO 39713 4142 14 correct correct VB 39713 4142 15 such such PDT 39713 4142 16 an an DT 39713 4142 17 error error NN 39713 4142 18 , , , 39713 4142 19 which which WDT 39713 4142 20 would would MD 39713 4142 21 have have VB 39713 4142 22 rendered render VBN 39713 4142 23 nature nature NN 39713 4142 24 unintelligible unintelligible JJ 39713 4142 25 ! ! . 39713 4143 1 But but CC 39713 4143 2 are be VBP 39713 4143 3 these these DT 39713 4143 4 laws law NNS 39713 4143 5 not not RB 39713 4143 6 local local JJ 39713 4143 7 , , , 39713 4143 8 varying vary VBG 39713 4143 9 in in RP 39713 4143 10 different different JJ 39713 4143 11 places place NNS 39713 4143 12 , , , 39713 4143 13 like like IN 39713 4143 14 those those DT 39713 4143 15 which which WDT 39713 4143 16 men man NNS 39713 4143 17 make make VBP 39713 4143 18 ; ; : 39713 4143 19 does do VBZ 39713 4143 20 not not RB 39713 4143 21 that that DT 39713 4143 22 which which WDT 39713 4143 23 is be VBZ 39713 4143 24 truth truth NN 39713 4143 25 in in IN 39713 4143 26 one one CD 39713 4143 27 corner corner NN 39713 4143 28 of of IN 39713 4143 29 the the DT 39713 4143 30 universe universe NN 39713 4143 31 , , , 39713 4143 32 on on IN 39713 4143 33 our -PRON- PRP$ 39713 4143 34 globe globe NN 39713 4143 35 , , , 39713 4143 36 for for IN 39713 4143 37 instance instance NN 39713 4143 38 , , , 39713 4143 39 or or CC 39713 4143 40 in in IN 39713 4143 41 our -PRON- PRP$ 39713 4143 42 little little JJ 39713 4143 43 solar solar JJ 39713 4143 44 system system NN 39713 4143 45 , , , 39713 4143 46 become become VB 39713 4143 47 error error NN 39713 4143 48 a a DT 39713 4143 49 little little JJ 39713 4143 50 farther far RBR 39713 4143 51 away away RB 39713 4143 52 ? ? . 39713 4144 1 And and CC 39713 4144 2 then then RB 39713 4144 3 could could MD 39713 4144 4 it -PRON- PRP 39713 4144 5 not not RB 39713 4144 6 be be VB 39713 4144 7 asked ask VBN 39713 4144 8 whether whether IN 39713 4144 9 laws law NNS 39713 4144 10 depending depend VBG 39713 4144 11 on on IN 39713 4144 12 space space NN 39713 4144 13 do do VBP 39713 4144 14 not not RB 39713 4144 15 also also RB 39713 4144 16 depend depend VB 39713 4144 17 upon upon IN 39713 4144 18 time time NN 39713 4144 19 , , , 39713 4144 20 whether whether IN 39713 4144 21 they -PRON- PRP 39713 4144 22 are be VBP 39713 4144 23 not not RB 39713 4144 24 simple simple JJ 39713 4144 25 habitudes habitude NNS 39713 4144 26 , , , 39713 4144 27 transitory transitory NN 39713 4144 28 , , , 39713 4144 29 therefore therefore RB 39713 4144 30 , , , 39713 4144 31 and and CC 39713 4144 32 ephemeral ephemeral JJ 39713 4144 33 ? ? . 39713 4145 1 Again again RB 39713 4145 2 it -PRON- PRP 39713 4145 3 is be VBZ 39713 4145 4 astronomy astronomy NN 39713 4145 5 that that WDT 39713 4145 6 answers answer VBZ 39713 4145 7 this this DT 39713 4145 8 question question NN 39713 4145 9 . . . 39713 4146 1 Consider consider VB 39713 4146 2 the the DT 39713 4146 3 double double JJ 39713 4146 4 stars star NNS 39713 4146 5 ; ; : 39713 4146 6 all all DT 39713 4146 7 describe describe VBP 39713 4146 8 conics conic NNS 39713 4146 9 ; ; : 39713 4146 10 thus thus RB 39713 4146 11 , , , 39713 4146 12 as as RB 39713 4146 13 far far RB 39713 4146 14 as as IN 39713 4146 15 the the DT 39713 4146 16 telescope telescope NN 39713 4146 17 carries carry VBZ 39713 4146 18 , , , 39713 4146 19 it -PRON- PRP 39713 4146 20 does do VBZ 39713 4146 21 not not RB 39713 4146 22 reach reach VB 39713 4146 23 the the DT 39713 4146 24 limits limit NNS 39713 4146 25 of of IN 39713 4146 26 the the DT 39713 4146 27 domain domain NN 39713 4146 28 which which WDT 39713 4146 29 obeys obey VBZ 39713 4146 30 Newton Newton NNP 39713 4146 31 's 's POS 39713 4146 32 law law NN 39713 4146 33 . . . 39713 4147 1 Even even RB 39713 4147 2 the the DT 39713 4147 3 simplicity simplicity NN 39713 4147 4 of of IN 39713 4147 5 this this DT 39713 4147 6 law law NN 39713 4147 7 is be VBZ 39713 4147 8 a a DT 39713 4147 9 lesson lesson NN 39713 4147 10 for for IN 39713 4147 11 us -PRON- PRP 39713 4147 12 ; ; : 39713 4147 13 how how WRB 39713 4147 14 many many JJ 39713 4147 15 complicated complicated JJ 39713 4147 16 phenomena phenomenon NNS 39713 4147 17 are be VBP 39713 4147 18 contained contain VBN 39713 4147 19 in in IN 39713 4147 20 the the DT 39713 4147 21 two two CD 39713 4147 22 lines line NNS 39713 4147 23 of of IN 39713 4147 24 its -PRON- PRP$ 39713 4147 25 enunciation enunciation NN 39713 4147 26 ; ; : 39713 4147 27 persons person NNS 39713 4147 28 who who WP 39713 4147 29 do do VBP 39713 4147 30 not not RB 39713 4147 31 understand understand VB 39713 4147 32 celestial celestial JJ 39713 4147 33 mechanics mechanic NNS 39713 4147 34 may may MD 39713 4147 35 form form VB 39713 4147 36 some some DT 39713 4147 37 idea idea NN 39713 4147 38 of of IN 39713 4147 39 it -PRON- PRP 39713 4147 40 at at IN 39713 4147 41 least least JJS 39713 4147 42 from from IN 39713 4147 43 the the DT 39713 4147 44 size size NN 39713 4147 45 of of IN 39713 4147 46 the the DT 39713 4147 47 treatises treatise NNS 39713 4147 48 devoted devote VBN 39713 4147 49 to to IN 39713 4147 50 this this DT 39713 4147 51 science science NN 39713 4147 52 ; ; : 39713 4147 53 and and CC 39713 4147 54 then then RB 39713 4147 55 it -PRON- PRP 39713 4147 56 may may MD 39713 4147 57 be be VB 39713 4147 58 hoped hope VBN 39713 4147 59 that that IN 39713 4147 60 the the DT 39713 4147 61 complication complication NN 39713 4147 62 of of IN 39713 4147 63 physical physical JJ 39713 4147 64 phenomena phenomenon NNS 39713 4147 65 likewise likewise RB 39713 4147 66 hides hide VBZ 39713 4147 67 from from IN 39713 4147 68 us -PRON- PRP 39713 4147 69 some some DT 39713 4147 70 simple simple JJ 39713 4147 71 cause cause NN 39713 4147 72 still still RB 39713 4147 73 unknown unknown JJ 39713 4147 74 . . . 39713 4148 1 It -PRON- PRP 39713 4148 2 is be VBZ 39713 4148 3 therefore therefore RB 39713 4148 4 astronomy astronomy NN 39713 4148 5 which which WDT 39713 4148 6 has have VBZ 39713 4148 7 shown show VBN 39713 4148 8 us -PRON- PRP 39713 4148 9 what what WP 39713 4148 10 are be VBP 39713 4148 11 the the DT 39713 4148 12 general general JJ 39713 4148 13 characteristics characteristic NNS 39713 4148 14 of of IN 39713 4148 15 natural natural JJ 39713 4148 16 laws law NNS 39713 4148 17 ; ; : 39713 4148 18 but but CC 39713 4148 19 among among IN 39713 4148 20 these these DT 39713 4148 21 characteristics characteristic NNS 39713 4148 22 there there EX 39713 4148 23 is be VBZ 39713 4148 24 one one CD 39713 4148 25 , , , 39713 4148 26 the the DT 39713 4148 27 most most RBS 39713 4148 28 subtle subtle JJ 39713 4148 29 and and CC 39713 4148 30 the the DT 39713 4148 31 most most RBS 39713 4148 32 important important JJ 39713 4148 33 of of IN 39713 4148 34 all all DT 39713 4148 35 , , , 39713 4148 36 which which WDT 39713 4148 37 I -PRON- PRP 39713 4148 38 shall shall MD 39713 4148 39 ask ask VB 39713 4148 40 leave leave VB 39713 4148 41 to to TO 39713 4148 42 stress stress VB 39713 4148 43 . . . 39713 4149 1 How how WRB 39713 4149 2 was be VBD 39713 4149 3 the the DT 39713 4149 4 order order NN 39713 4149 5 of of IN 39713 4149 6 the the DT 39713 4149 7 universe universe NN 39713 4149 8 understood understand VBN 39713 4149 9 by by IN 39713 4149 10 the the DT 39713 4149 11 ancients ancient NNS 39713 4149 12 ; ; , 39713 4149 13 for for IN 39713 4149 14 instance instance NN 39713 4149 15 , , , 39713 4149 16 by by IN 39713 4149 17 Pythagoras Pythagoras NNP 39713 4149 18 , , , 39713 4149 19 Plato Plato NNP 39713 4149 20 or or CC 39713 4149 21 Aristotle Aristotle NNP 39713 4149 22 ? ? . 39713 4150 1 It -PRON- PRP 39713 4150 2 was be VBD 39713 4150 3 either either CC 39713 4150 4 an an DT 39713 4150 5 immutable immutable JJ 39713 4150 6 type type NN 39713 4150 7 fixed fix VBN 39713 4150 8 once once RB 39713 4150 9 for for IN 39713 4150 10 all all DT 39713 4150 11 , , , 39713 4150 12 or or CC 39713 4150 13 an an DT 39713 4150 14 ideal ideal NN 39713 4150 15 to to TO 39713 4150 16 which which WDT 39713 4150 17 the the DT 39713 4150 18 world world NN 39713 4150 19 sought seek VBD 39713 4150 20 to to TO 39713 4150 21 approach approach VB 39713 4150 22 . . . 39713 4151 1 Kepler Kepler NNP 39713 4151 2 himself -PRON- PRP 39713 4151 3 still still RB 39713 4151 4 thought think VBD 39713 4151 5 thus thus RB 39713 4151 6 when when WRB 39713 4151 7 , , , 39713 4151 8 for for IN 39713 4151 9 instance instance NN 39713 4151 10 , , , 39713 4151 11 he -PRON- PRP 39713 4151 12 sought seek VBD 39713 4151 13 whether whether IN 39713 4151 14 the the DT 39713 4151 15 distances distance NNS 39713 4151 16 of of IN 39713 4151 17 the the DT 39713 4151 18 planets planet NNS 39713 4151 19 from from IN 39713 4151 20 the the DT 39713 4151 21 sun sun NN 39713 4151 22 had have VBD 39713 4151 23 not not RB 39713 4151 24 some some DT 39713 4151 25 relation relation NN 39713 4151 26 to to IN 39713 4151 27 the the DT 39713 4151 28 five five CD 39713 4151 29 regular regular JJ 39713 4151 30 polyhedrons polyhedron NNS 39713 4151 31 . . . 39713 4152 1 This this DT 39713 4152 2 idea idea NN 39713 4152 3 contained contain VBD 39713 4152 4 nothing nothing NN 39713 4152 5 absurd absurd JJ 39713 4152 6 , , , 39713 4152 7 but but CC 39713 4152 8 it -PRON- PRP 39713 4152 9 was be VBD 39713 4152 10 sterile sterile JJ 39713 4152 11 , , , 39713 4152 12 since since IN 39713 4152 13 nature nature NN 39713 4152 14 is be VBZ 39713 4152 15 not not RB 39713 4152 16 so so RB 39713 4152 17 made make VBN 39713 4152 18 . . . 39713 4153 1 Newton Newton NNP 39713 4153 2 has have VBZ 39713 4153 3 shown show VBN 39713 4153 4 us -PRON- PRP 39713 4153 5 that that IN 39713 4153 6 a a DT 39713 4153 7 law law NN 39713 4153 8 is be VBZ 39713 4153 9 only only RB 39713 4153 10 a a DT 39713 4153 11 necessary necessary JJ 39713 4153 12 relation relation NN 39713 4153 13 between between IN 39713 4153 14 the the DT 39713 4153 15 present present JJ 39713 4153 16 state state NN 39713 4153 17 of of IN 39713 4153 18 the the DT 39713 4153 19 world world NN 39713 4153 20 and and CC 39713 4153 21 its -PRON- PRP$ 39713 4153 22 immediately immediately RB 39713 4153 23 subsequent subsequent JJ 39713 4153 24 state state NN 39713 4153 25 . . . 39713 4154 1 All all PDT 39713 4154 2 the the DT 39713 4154 3 other other JJ 39713 4154 4 laws law NNS 39713 4154 5 since since IN 39713 4154 6 discovered discover VBN 39713 4154 7 are be VBP 39713 4154 8 nothing nothing NN 39713 4154 9 else else RB 39713 4154 10 ; ; : 39713 4154 11 they -PRON- PRP 39713 4154 12 are be VBP 39713 4154 13 in in IN 39713 4154 14 sum sum NN 39713 4154 15 , , , 39713 4154 16 differential differential NN 39713 4154 17 equations equation NNS 39713 4154 18 ; ; : 39713 4154 19 but but CC 39713 4154 20 it -PRON- PRP 39713 4154 21 is be VBZ 39713 4154 22 astronomy astronomy NN 39713 4154 23 which which WDT 39713 4154 24 furnished furnish VBD 39713 4154 25 the the DT 39713 4154 26 first first JJ 39713 4154 27 model model NN 39713 4154 28 for for IN 39713 4154 29 them -PRON- PRP 39713 4154 30 , , , 39713 4154 31 without without IN 39713 4154 32 which which WDT 39713 4154 33 we -PRON- PRP 39713 4154 34 should should MD 39713 4154 35 doubtless doubtless RB 39713 4154 36 long long RB 39713 4154 37 have have VBP 39713 4154 38 erred err VBN 39713 4154 39 . . . 39713 4155 1 Astronomy Astronomy NNP 39713 4155 2 has have VBZ 39713 4155 3 also also RB 39713 4155 4 taught teach VBN 39713 4155 5 us -PRON- PRP 39713 4155 6 to to TO 39713 4155 7 set set VB 39713 4155 8 at at IN 39713 4155 9 naught naught JJ 39713 4155 10 appearances appearance NNS 39713 4155 11 . . . 39713 4156 1 The the DT 39713 4156 2 day day NN 39713 4156 3 Copernicus Copernicus NNP 39713 4156 4 proved prove VBD 39713 4156 5 that that IN 39713 4156 6 what what WP 39713 4156 7 was be VBD 39713 4156 8 thought think VBN 39713 4156 9 the the DT 39713 4156 10 most most RBS 39713 4156 11 stable stable JJ 39713 4156 12 was be VBD 39713 4156 13 in in IN 39713 4156 14 motion motion NN 39713 4156 15 , , , 39713 4156 16 that that IN 39713 4156 17 what what WP 39713 4156 18 was be VBD 39713 4156 19 thought think VBN 39713 4156 20 moving move VBG 39713 4156 21 was be VBD 39713 4156 22 fixed fix VBN 39713 4156 23 , , , 39713 4156 24 he -PRON- PRP 39713 4156 25 showed show VBD 39713 4156 26 us -PRON- PRP 39713 4156 27 how how WRB 39713 4156 28 deceptive deceptive JJ 39713 4156 29 could could MD 39713 4156 30 be be VB 39713 4156 31 the the DT 39713 4156 32 infantile infantile JJ 39713 4156 33 reasonings reasoning NNS 39713 4156 34 which which WDT 39713 4156 35 spring spring VBP 39713 4156 36 directly directly RB 39713 4156 37 from from IN 39713 4156 38 the the DT 39713 4156 39 immediate immediate JJ 39713 4156 40 data datum NNS 39713 4156 41 of of IN 39713 4156 42 our -PRON- PRP$ 39713 4156 43 senses sense NNS 39713 4156 44 . . . 39713 4157 1 True true JJ 39713 4157 2 , , , 39713 4157 3 his -PRON- PRP$ 39713 4157 4 ideas idea NNS 39713 4157 5 did do VBD 39713 4157 6 not not RB 39713 4157 7 easily easily RB 39713 4157 8 triumph triumph NN 39713 4157 9 , , , 39713 4157 10 but but CC 39713 4157 11 since since IN 39713 4157 12 this this DT 39713 4157 13 triumph triumph NN 39713 4157 14 there there EX 39713 4157 15 is be VBZ 39713 4157 16 no no RB 39713 4157 17 longer long RBR 39713 4157 18 a a DT 39713 4157 19 prejudice prejudice NN 39713 4157 20 so so RB 39713 4157 21 inveterate inveterate VBP 39713 4157 22 that that IN 39713 4157 23 we -PRON- PRP 39713 4157 24 can can MD 39713 4157 25 not not RB 39713 4157 26 shake shake VB 39713 4157 27 it -PRON- PRP 39713 4157 28 off off RP 39713 4157 29 . . . 39713 4158 1 How how WRB 39713 4158 2 can can MD 39713 4158 3 we -PRON- PRP 39713 4158 4 estimate estimate VB 39713 4158 5 the the DT 39713 4158 6 value value NN 39713 4158 7 of of IN 39713 4158 8 the the DT 39713 4158 9 new new JJ 39713 4158 10 weapon weapon NN 39713 4158 11 thus thus RB 39713 4158 12 won win VBD 39713 4158 13 ? ? . 39713 4159 1 The the DT 39713 4159 2 ancients ancient NNS 39713 4159 3 thought think VBD 39713 4159 4 everything everything NN 39713 4159 5 was be VBD 39713 4159 6 made make VBN 39713 4159 7 for for IN 39713 4159 8 man man NN 39713 4159 9 , , , 39713 4159 10 and and CC 39713 4159 11 this this DT 39713 4159 12 illusion illusion NN 39713 4159 13 must must MD 39713 4159 14 be be VB 39713 4159 15 very very RB 39713 4159 16 tenacious tenacious JJ 39713 4159 17 , , , 39713 4159 18 since since IN 39713 4159 19 it -PRON- PRP 39713 4159 20 must must MD 39713 4159 21 ever ever RB 39713 4159 22 be be VB 39713 4159 23 combated combat VBN 39713 4159 24 . . . 39713 4160 1 Yet yet CC 39713 4160 2 it -PRON- PRP 39713 4160 3 is be VBZ 39713 4160 4 necessary necessary JJ 39713 4160 5 to to TO 39713 4160 6 divest divest VB 39713 4160 7 oneself oneself PRP 39713 4160 8 of of IN 39713 4160 9 it -PRON- PRP 39713 4160 10 ; ; : 39713 4160 11 or or CC 39713 4160 12 else else RB 39713 4160 13 one one NN 39713 4160 14 will will MD 39713 4160 15 be be VB 39713 4160 16 only only RB 39713 4160 17 an an DT 39713 4160 18 eternal eternal JJ 39713 4160 19 myope myope NN 39713 4160 20 , , , 39713 4160 21 incapable incapable JJ 39713 4160 22 of of IN 39713 4160 23 seeing see VBG 39713 4160 24 the the DT 39713 4160 25 truth truth NN 39713 4160 26 . . . 39713 4161 1 To to TO 39713 4161 2 comprehend comprehend VB 39713 4161 3 nature nature NN 39713 4161 4 one one PRP 39713 4161 5 must must MD 39713 4161 6 be be VB 39713 4161 7 able able JJ 39713 4161 8 to to TO 39713 4161 9 get get VB 39713 4161 10 out out IN 39713 4161 11 of of IN 39713 4161 12 self self NN 39713 4161 13 , , , 39713 4161 14 so so RB 39713 4161 15 to to TO 39713 4161 16 speak speak VB 39713 4161 17 , , , 39713 4161 18 and and CC 39713 4161 19 to to TO 39713 4161 20 contemplate contemplate VB 39713 4161 21 her -PRON- PRP 39713 4161 22 from from IN 39713 4161 23 many many JJ 39713 4161 24 different different JJ 39713 4161 25 points point NNS 39713 4161 26 of of IN 39713 4161 27 view view NN 39713 4161 28 ; ; : 39713 4161 29 otherwise otherwise RB 39713 4161 30 we -PRON- PRP 39713 4161 31 never never RB 39713 4161 32 shall shall MD 39713 4161 33 know know VB 39713 4161 34 more more JJR 39713 4161 35 than than IN 39713 4161 36 one one CD 39713 4161 37 side side NN 39713 4161 38 . . . 39713 4162 1 Now now RB 39713 4162 2 , , , 39713 4162 3 to to TO 39713 4162 4 get get VB 39713 4162 5 out out IN 39713 4162 6 of of IN 39713 4162 7 self self NN 39713 4162 8 is be VBZ 39713 4162 9 what what WP 39713 4162 10 he -PRON- PRP 39713 4162 11 who who WP 39713 4162 12 refers refer VBZ 39713 4162 13 everything everything NN 39713 4162 14 to to IN 39713 4162 15 himself -PRON- PRP 39713 4162 16 can can MD 39713 4162 17 not not RB 39713 4162 18 do do VB 39713 4162 19 . . . 39713 4163 1 Who who WP 39713 4163 2 delivered deliver VBD 39713 4163 3 us -PRON- PRP 39713 4163 4 from from IN 39713 4163 5 this this DT 39713 4163 6 illusion illusion NN 39713 4163 7 ? ? . 39713 4164 1 It -PRON- PRP 39713 4164 2 was be VBD 39713 4164 3 those those DT 39713 4164 4 who who WP 39713 4164 5 showed show VBD 39713 4164 6 us -PRON- PRP 39713 4164 7 that that IN 39713 4164 8 the the DT 39713 4164 9 earth earth NN 39713 4164 10 is be VBZ 39713 4164 11 only only RB 39713 4164 12 one one CD 39713 4164 13 of of IN 39713 4164 14 the the DT 39713 4164 15 smallest small JJS 39713 4164 16 planets planet NNS 39713 4164 17 of of IN 39713 4164 18 the the DT 39713 4164 19 solar solar JJ 39713 4164 20 system system NN 39713 4164 21 , , , 39713 4164 22 and and CC 39713 4164 23 that that IN 39713 4164 24 the the DT 39713 4164 25 solar solar JJ 39713 4164 26 system system NN 39713 4164 27 itself -PRON- PRP 39713 4164 28 is be VBZ 39713 4164 29 only only RB 39713 4164 30 an an DT 39713 4164 31 imperceptible imperceptible JJ 39713 4164 32 point point NN 39713 4164 33 in in IN 39713 4164 34 the the DT 39713 4164 35 infinite infinite JJ 39713 4164 36 spaces space NNS 39713 4164 37 of of IN 39713 4164 38 the the DT 39713 4164 39 stellar stellar JJ 39713 4164 40 universe universe NN 39713 4164 41 . . . 39713 4165 1 At at IN 39713 4165 2 the the DT 39713 4165 3 same same JJ 39713 4165 4 time time NN 39713 4165 5 astronomy astronomy NN 39713 4165 6 taught teach VBD 39713 4165 7 us -PRON- PRP 39713 4165 8 not not RB 39713 4165 9 to to TO 39713 4165 10 be be VB 39713 4165 11 afraid afraid JJ 39713 4165 12 of of IN 39713 4165 13 big big JJ 39713 4165 14 numbers number NNS 39713 4165 15 . . . 39713 4166 1 This this DT 39713 4166 2 was be VBD 39713 4166 3 needful needful JJ 39713 4166 4 , , , 39713 4166 5 not not RB 39713 4166 6 only only RB 39713 4166 7 for for IN 39713 4166 8 knowing know VBG 39713 4166 9 the the DT 39713 4166 10 heavens heavens NNPS 39713 4166 11 , , , 39713 4166 12 but but CC 39713 4166 13 to to TO 39713 4166 14 know know VB 39713 4166 15 the the DT 39713 4166 16 earth earth NN 39713 4166 17 itself -PRON- PRP 39713 4166 18 ; ; : 39713 4166 19 and and CC 39713 4166 20 was be VBD 39713 4166 21 not not RB 39713 4166 22 so so RB 39713 4166 23 easy easy JJ 39713 4166 24 as as IN 39713 4166 25 it -PRON- PRP 39713 4166 26 seems seem VBZ 39713 4166 27 to to IN 39713 4166 28 us -PRON- PRP 39713 4166 29 to to NN 39713 4166 30 - - HYPH 39713 4166 31 day day NN 39713 4166 32 . . . 39713 4167 1 Let let VB 39713 4167 2 us -PRON- PRP 39713 4167 3 try try VB 39713 4167 4 to to TO 39713 4167 5 go go VB 39713 4167 6 back back RB 39713 4167 7 and and CC 39713 4167 8 picture picture VB 39713 4167 9 to to IN 39713 4167 10 ourselves -PRON- PRP 39713 4167 11 what what WP 39713 4167 12 a a DT 39713 4167 13 Greek Greek NNP 39713 4167 14 would would MD 39713 4167 15 have have VB 39713 4167 16 thought think VBN 39713 4167 17 if if IN 39713 4167 18 told tell VBN 39713 4167 19 that that DT 39713 4167 20 red red JJ 39713 4167 21 light light NN 39713 4167 22 vibrates vibrate VBZ 39713 4167 23 four four CD 39713 4167 24 hundred hundred CD 39713 4167 25 millions million NNS 39713 4167 26 of of IN 39713 4167 27 millions million NNS 39713 4167 28 of of IN 39713 4167 29 times time NNS 39713 4167 30 per per IN 39713 4167 31 second second NN 39713 4167 32 . . . 39713 4168 1 Without without IN 39713 4168 2 any any DT 39713 4168 3 doubt doubt NN 39713 4168 4 , , , 39713 4168 5 such such PDT 39713 4168 6 an an DT 39713 4168 7 assertion assertion NN 39713 4168 8 would would MD 39713 4168 9 have have VB 39713 4168 10 appeared appear VBN 39713 4168 11 to to IN 39713 4168 12 him -PRON- PRP 39713 4168 13 pure pure JJ 39713 4168 14 madness madness NN 39713 4168 15 , , , 39713 4168 16 and and CC 39713 4168 17 he -PRON- PRP 39713 4168 18 never never RB 39713 4168 19 would would MD 39713 4168 20 have have VB 39713 4168 21 lowered lower VBN 39713 4168 22 himself -PRON- PRP 39713 4168 23 to to TO 39713 4168 24 test test VB 39713 4168 25 it -PRON- PRP 39713 4168 26 . . . 39713 4169 1 To to IN 39713 4169 2 - - HYPH 39713 4169 3 day day NN 39713 4169 4 a a DT 39713 4169 5 hypothesis hypothesis NN 39713 4169 6 will will MD 39713 4169 7 no no RB 39713 4169 8 longer longer RB 39713 4169 9 appear appear VB 39713 4169 10 absurd absurd JJ 39713 4169 11 to to IN 39713 4169 12 us -PRON- PRP 39713 4169 13 because because IN 39713 4169 14 it -PRON- PRP 39713 4169 15 obliges oblige VBZ 39713 4169 16 us -PRON- PRP 39713 4169 17 to to TO 39713 4169 18 imagine imagine VB 39713 4169 19 objects object NNS 39713 4169 20 much much RB 39713 4169 21 larger large JJR 39713 4169 22 or or CC 39713 4169 23 smaller small JJR 39713 4169 24 than than IN 39713 4169 25 those those DT 39713 4169 26 our -PRON- PRP$ 39713 4169 27 senses sense NNS 39713 4169 28 are be VBP 39713 4169 29 capable capable JJ 39713 4169 30 of of IN 39713 4169 31 showing show VBG 39713 4169 32 us -PRON- PRP 39713 4169 33 , , , 39713 4169 34 and and CC 39713 4169 35 we -PRON- PRP 39713 4169 36 no no RB 39713 4169 37 longer longer RB 39713 4169 38 comprehend comprehend VBP 39713 4169 39 those those DT 39713 4169 40 scruples scruple NNS 39713 4169 41 which which WDT 39713 4169 42 arrested arrest VBD 39713 4169 43 our -PRON- PRP$ 39713 4169 44 predecessors predecessor NNS 39713 4169 45 and and CC 39713 4169 46 prevented prevent VBD 39713 4169 47 them -PRON- PRP 39713 4169 48 from from IN 39713 4169 49 discovering discover VBG 39713 4169 50 certain certain JJ 39713 4169 51 truths truth NNS 39713 4169 52 simply simply RB 39713 4169 53 because because IN 39713 4169 54 they -PRON- PRP 39713 4169 55 were be VBD 39713 4169 56 afraid afraid JJ 39713 4169 57 of of IN 39713 4169 58 them -PRON- PRP 39713 4169 59 . . . 39713 4170 1 But but CC 39713 4170 2 why why WRB 39713 4170 3 ? ? . 39713 4171 1 It -PRON- PRP 39713 4171 2 is be VBZ 39713 4171 3 because because IN 39713 4171 4 we -PRON- PRP 39713 4171 5 have have VBP 39713 4171 6 seen see VBN 39713 4171 7 the the DT 39713 4171 8 heavens heaven NNS 39713 4171 9 enlarging enlarge VBG 39713 4171 10 and and CC 39713 4171 11 enlarging enlarge VBG 39713 4171 12 without without IN 39713 4171 13 cease cease NN 39713 4171 14 ; ; : 39713 4171 15 because because IN 39713 4171 16 we -PRON- PRP 39713 4171 17 know know VBP 39713 4171 18 that that IN 39713 4171 19 the the DT 39713 4171 20 sun sun NN 39713 4171 21 is be VBZ 39713 4171 22 150 150 CD 39713 4171 23 millions million NNS 39713 4171 24 of of IN 39713 4171 25 kilometers kilometer NNS 39713 4171 26 from from IN 39713 4171 27 the the DT 39713 4171 28 earth earth NN 39713 4171 29 and and CC 39713 4171 30 that that IN 39713 4171 31 the the DT 39713 4171 32 distances distance NNS 39713 4171 33 of of IN 39713 4171 34 the the DT 39713 4171 35 nearest near JJS 39713 4171 36 stars star NNS 39713 4171 37 are be VBP 39713 4171 38 hundreds hundred NNS 39713 4171 39 of of IN 39713 4171 40 thousands thousand NNS 39713 4171 41 of of IN 39713 4171 42 times time NNS 39713 4171 43 greater great JJR 39713 4171 44 yet yet RB 39713 4171 45 . . . 39713 4172 1 Habituated habituate VBN 39713 4172 2 to to IN 39713 4172 3 the the DT 39713 4172 4 contemplation contemplation NN 39713 4172 5 of of IN 39713 4172 6 the the DT 39713 4172 7 infinitely infinitely RB 39713 4172 8 great great JJ 39713 4172 9 , , , 39713 4172 10 we -PRON- PRP 39713 4172 11 have have VBP 39713 4172 12 become become VBN 39713 4172 13 apt apt JJ 39713 4172 14 to to TO 39713 4172 15 comprehend comprehend VB 39713 4172 16 the the DT 39713 4172 17 infinitely infinitely RB 39713 4172 18 small small JJ 39713 4172 19 . . . 39713 4173 1 Thanks thank NNS 39713 4173 2 to to IN 39713 4173 3 the the DT 39713 4173 4 education education NN 39713 4173 5 it -PRON- PRP 39713 4173 6 has have VBZ 39713 4173 7 received receive VBN 39713 4173 8 , , , 39713 4173 9 our -PRON- PRP$ 39713 4173 10 imagination imagination NN 39713 4173 11 , , , 39713 4173 12 like like IN 39713 4173 13 the the DT 39713 4173 14 eagle eagle NN 39713 4173 15 's 's POS 39713 4173 16 eye eye NN 39713 4173 17 that that IN 39713 4173 18 the the DT 39713 4173 19 sun sun NN 39713 4173 20 does do VBZ 39713 4173 21 not not RB 39713 4173 22 dazzle dazzle VB 39713 4173 23 , , , 39713 4173 24 can can MD 39713 4173 25 look look VB 39713 4173 26 truth truth NN 39713 4173 27 in in IN 39713 4173 28 the the DT 39713 4173 29 face face NN 39713 4173 30 . . . 39713 4174 1 Was be VBD 39713 4174 2 I -PRON- PRP 39713 4174 3 wrong wrong JJ 39713 4174 4 in in IN 39713 4174 5 saying say VBG 39713 4174 6 that that IN 39713 4174 7 it -PRON- PRP 39713 4174 8 is be VBZ 39713 4174 9 astronomy astronomy NN 39713 4174 10 which which WDT 39713 4174 11 has have VBZ 39713 4174 12 made make VBN 39713 4174 13 us -PRON- PRP 39713 4174 14 a a DT 39713 4174 15 soul soul NN 39713 4174 16 capable capable JJ 39713 4174 17 of of IN 39713 4174 18 comprehending comprehend VBG 39713 4174 19 nature nature NN 39713 4174 20 ; ; : 39713 4174 21 that that IN 39713 4174 22 under under IN 39713 4174 23 heavens heaven NNS 39713 4174 24 always always RB 39713 4174 25 overcast overcast JJ 39713 4174 26 and and CC 39713 4174 27 starless starless JJ 39713 4174 28 , , , 39713 4174 29 the the DT 39713 4174 30 earth earth NN 39713 4174 31 itself -PRON- PRP 39713 4174 32 would would MD 39713 4174 33 have have VB 39713 4174 34 been be VBN 39713 4174 35 for for IN 39713 4174 36 us -PRON- PRP 39713 4174 37 eternally eternally RB 39713 4174 38 unintelligible unintelligible JJ 39713 4174 39 ; ; : 39713 4174 40 that that IN 39713 4174 41 we -PRON- PRP 39713 4174 42 should should MD 39713 4174 43 there there EX 39713 4174 44 have have VB 39713 4174 45 seen see VBN 39713 4174 46 only only RB 39713 4174 47 caprice caprice NN 39713 4174 48 and and CC 39713 4174 49 disorder disorder NN 39713 4174 50 ; ; : 39713 4174 51 and and CC 39713 4174 52 that that IN 39713 4174 53 , , , 39713 4174 54 not not RB 39713 4174 55 knowing know VBG 39713 4174 56 the the DT 39713 4174 57 world world NN 39713 4174 58 , , , 39713 4174 59 we -PRON- PRP 39713 4174 60 should should MD 39713 4174 61 never never RB 39713 4174 62 have have VB 39713 4174 63 been be VBN 39713 4174 64 able able JJ 39713 4174 65 to to TO 39713 4174 66 subdue subdue VB 39713 4174 67 it -PRON- PRP 39713 4174 68 ? ? . 39713 4175 1 What what WDT 39713 4175 2 science science NN 39713 4175 3 could could MD 39713 4175 4 have have VB 39713 4175 5 been be VBN 39713 4175 6 more more RBR 39713 4175 7 useful useful JJ 39713 4175 8 ? ? . 39713 4176 1 And and CC 39713 4176 2 in in IN 39713 4176 3 thus thus RB 39713 4176 4 speaking speak VBG 39713 4176 5 I -PRON- PRP 39713 4176 6 put put VBD 39713 4176 7 myself -PRON- PRP 39713 4176 8 at at IN 39713 4176 9 the the DT 39713 4176 10 point point NN 39713 4176 11 of of IN 39713 4176 12 view view NN 39713 4176 13 of of IN 39713 4176 14 those those DT 39713 4176 15 who who WP 39713 4176 16 only only RB 39713 4176 17 value value VBP 39713 4176 18 practical practical JJ 39713 4176 19 applications application NNS 39713 4176 20 . . . 39713 4177 1 Certainly certainly RB 39713 4177 2 , , , 39713 4177 3 this this DT 39713 4177 4 point point NN 39713 4177 5 of of IN 39713 4177 6 view view NN 39713 4177 7 is be VBZ 39713 4177 8 not not RB 39713 4177 9 mine mine JJ 39713 4177 10 ; ; : 39713 4177 11 as as IN 39713 4177 12 for for IN 39713 4177 13 me -PRON- PRP 39713 4177 14 , , , 39713 4177 15 on on IN 39713 4177 16 the the DT 39713 4177 17 contrary contrary NN 39713 4177 18 , , , 39713 4177 19 if if IN 39713 4177 20 I -PRON- PRP 39713 4177 21 admire admire VBP 39713 4177 22 the the DT 39713 4177 23 conquests conquest NNS 39713 4177 24 of of IN 39713 4177 25 industry industry NN 39713 4177 26 , , , 39713 4177 27 it -PRON- PRP 39713 4177 28 is be VBZ 39713 4177 29 above above IN 39713 4177 30 all all DT 39713 4177 31 because because IN 39713 4177 32 if if IN 39713 4177 33 they -PRON- PRP 39713 4177 34 free free VBP 39713 4177 35 us -PRON- PRP 39713 4177 36 from from IN 39713 4177 37 material material JJ 39713 4177 38 cares care NNS 39713 4177 39 , , , 39713 4177 40 they -PRON- PRP 39713 4177 41 will will MD 39713 4177 42 one one CD 39713 4177 43 day day NN 39713 4177 44 give give VB 39713 4177 45 to to IN 39713 4177 46 all all PDT 39713 4177 47 the the DT 39713 4177 48 leisure leisure NN 39713 4177 49 to to TO 39713 4177 50 contemplate contemplate VB 39713 4177 51 nature nature NN 39713 4177 52 . . . 39713 4178 1 I -PRON- PRP 39713 4178 2 do do VBP 39713 4178 3 not not RB 39713 4178 4 say say VB 39713 4178 5 : : : 39713 4178 6 Science science NN 39713 4178 7 is be VBZ 39713 4178 8 useful useful JJ 39713 4178 9 , , , 39713 4178 10 because because IN 39713 4178 11 it -PRON- PRP 39713 4178 12 teaches teach VBZ 39713 4178 13 us -PRON- PRP 39713 4178 14 to to TO 39713 4178 15 construct construct VB 39713 4178 16 machines machine NNS 39713 4178 17 . . . 39713 4179 1 I -PRON- PRP 39713 4179 2 say say VBP 39713 4179 3 : : : 39713 4179 4 Machines machine NNS 39713 4179 5 are be VBP 39713 4179 6 useful useful JJ 39713 4179 7 , , , 39713 4179 8 because because IN 39713 4179 9 in in IN 39713 4179 10 working work VBG 39713 4179 11 for for IN 39713 4179 12 us -PRON- PRP 39713 4179 13 , , , 39713 4179 14 they -PRON- PRP 39713 4179 15 will will MD 39713 4179 16 some some DT 39713 4179 17 day day NN 39713 4179 18 leave leave VB 39713 4179 19 us -PRON- PRP 39713 4179 20 more more JJR 39713 4179 21 time time NN 39713 4179 22 to to TO 39713 4179 23 make make VB 39713 4179 24 science science NN 39713 4179 25 . . . 39713 4180 1 But but CC 39713 4180 2 finally finally RB 39713 4180 3 it -PRON- PRP 39713 4180 4 is be VBZ 39713 4180 5 worth worth JJ 39713 4180 6 remarking remark VBG 39713 4180 7 that that IN 39713 4180 8 between between IN 39713 4180 9 the the DT 39713 4180 10 two two CD 39713 4180 11 points point NNS 39713 4180 12 of of IN 39713 4180 13 view view NN 39713 4180 14 there there EX 39713 4180 15 is be VBZ 39713 4180 16 no no DT 39713 4180 17 antagonism antagonism NN 39713 4180 18 , , , 39713 4180 19 and and CC 39713 4180 20 that that DT 39713 4180 21 man man NN 39713 4180 22 having have VBG 39713 4180 23 pursued pursue VBN 39713 4180 24 a a DT 39713 4180 25 disinterested disinterested JJ 39713 4180 26 aim aim NN 39713 4180 27 , , , 39713 4180 28 all all DT 39713 4180 29 else else RB 39713 4180 30 has have VBZ 39713 4180 31 been be VBN 39713 4180 32 added add VBN 39713 4180 33 unto unto IN 39713 4180 34 him -PRON- PRP 39713 4180 35 . . . 39713 4181 1 Auguste Auguste NNP 39713 4181 2 Comte Comte NNP 39713 4181 3 has have VBZ 39713 4181 4 said say VBN 39713 4181 5 somewhere somewhere RB 39713 4181 6 , , , 39713 4181 7 that that IN 39713 4181 8 it -PRON- PRP 39713 4181 9 would would MD 39713 4181 10 be be VB 39713 4181 11 idle idle JJ 39713 4181 12 to to TO 39713 4181 13 seek seek VB 39713 4181 14 to to TO 39713 4181 15 know know VB 39713 4181 16 the the DT 39713 4181 17 composition composition NN 39713 4181 18 of of IN 39713 4181 19 the the DT 39713 4181 20 sun sun NN 39713 4181 21 , , , 39713 4181 22 since since IN 39713 4181 23 this this DT 39713 4181 24 knowledge knowledge NN 39713 4181 25 would would MD 39713 4181 26 be be VB 39713 4181 27 of of IN 39713 4181 28 no no DT 39713 4181 29 use use NN 39713 4181 30 to to IN 39713 4181 31 sociology sociology NN 39713 4181 32 . . . 39713 4182 1 How how WRB 39713 4182 2 could could MD 39713 4182 3 he -PRON- PRP 39713 4182 4 be be VB 39713 4182 5 so so RB 39713 4182 6 short short JJ 39713 4182 7 - - HYPH 39713 4182 8 sighted sighted JJ 39713 4182 9 ? ? . 39713 4183 1 Have have VBP 39713 4183 2 we -PRON- PRP 39713 4183 3 not not RB 39713 4183 4 just just RB 39713 4183 5 seen see VBN 39713 4183 6 that that IN 39713 4183 7 it -PRON- PRP 39713 4183 8 is be VBZ 39713 4183 9 by by IN 39713 4183 10 astronomy astronomy NN 39713 4183 11 that that IN 39713 4183 12 , , , 39713 4183 13 to to TO 39713 4183 14 speak speak VB 39713 4183 15 his -PRON- PRP$ 39713 4183 16 language language NN 39713 4183 17 , , , 39713 4183 18 humanity humanity NN 39713 4183 19 has have VBZ 39713 4183 20 passed pass VBN 39713 4183 21 from from IN 39713 4183 22 the the DT 39713 4183 23 theological theological NN 39713 4183 24 to to IN 39713 4183 25 the the DT 39713 4183 26 positive positive JJ 39713 4183 27 state state NN 39713 4183 28 ? ? . 39713 4184 1 He -PRON- PRP 39713 4184 2 found find VBD 39713 4184 3 an an DT 39713 4184 4 explanation explanation NN 39713 4184 5 for for IN 39713 4184 6 that that DT 39713 4184 7 because because IN 39713 4184 8 it -PRON- PRP 39713 4184 9 had have VBD 39713 4184 10 happened happen VBN 39713 4184 11 . . . 39713 4185 1 But but CC 39713 4185 2 how how WRB 39713 4185 3 has have VBZ 39713 4185 4 he -PRON- PRP 39713 4185 5 not not RB 39713 4185 6 understood understand VBN 39713 4185 7 that that IN 39713 4185 8 what what WP 39713 4185 9 remained remain VBD 39713 4185 10 to to TO 39713 4185 11 do do VB 39713 4185 12 was be VBD 39713 4185 13 not not RB 39713 4185 14 less less RBR 39713 4185 15 considerable considerable JJ 39713 4185 16 and and CC 39713 4185 17 would would MD 39713 4185 18 be be VB 39713 4185 19 not not RB 39713 4185 20 less less RBR 39713 4185 21 profitable profitable JJ 39713 4185 22 ? ? . 39713 4186 1 Physical physical JJ 39713 4186 2 astronomy astronomy NN 39713 4186 3 , , , 39713 4186 4 which which WDT 39713 4186 5 he -PRON- PRP 39713 4186 6 seems seem VBZ 39713 4186 7 to to TO 39713 4186 8 condemn condemn VB 39713 4186 9 , , , 39713 4186 10 has have VBZ 39713 4186 11 already already RB 39713 4186 12 begun begin VBN 39713 4186 13 to to TO 39713 4186 14 bear bear VB 39713 4186 15 fruit fruit NN 39713 4186 16 , , , 39713 4186 17 and and CC 39713 4186 18 it -PRON- PRP 39713 4186 19 will will MD 39713 4186 20 give give VB 39713 4186 21 us -PRON- PRP 39713 4186 22 much much RB 39713 4186 23 more more JJR 39713 4186 24 , , , 39713 4186 25 for for IN 39713 4186 26 it -PRON- PRP 39713 4186 27 only only RB 39713 4186 28 dates date VBZ 39713 4186 29 from from IN 39713 4186 30 yesterday yesterday NN 39713 4186 31 . . . 39713 4187 1 First first RB 39713 4187 2 was be VBD 39713 4187 3 discovered discover VBN 39713 4187 4 the the DT 39713 4187 5 nature nature NN 39713 4187 6 of of IN 39713 4187 7 the the DT 39713 4187 8 sun sun NN 39713 4187 9 , , , 39713 4187 10 what what WP 39713 4187 11 the the DT 39713 4187 12 founder founder NN 39713 4187 13 of of IN 39713 4187 14 positivism positivism NN 39713 4187 15 wished wish VBD 39713 4187 16 to to TO 39713 4187 17 deny deny VB 39713 4187 18 us -PRON- PRP 39713 4187 19 , , , 39713 4187 20 and and CC 39713 4187 21 there there EX 39713 4187 22 bodies body NNS 39713 4187 23 were be VBD 39713 4187 24 found find VBN 39713 4187 25 which which WDT 39713 4187 26 exist exist VBP 39713 4187 27 on on IN 39713 4187 28 the the DT 39713 4187 29 earth earth NN 39713 4187 30 , , , 39713 4187 31 but but CC 39713 4187 32 had have VBD 39713 4187 33 here here RB 39713 4187 34 remained remain VBN 39713 4187 35 undiscovered undiscovered JJ 39713 4187 36 ; ; : 39713 4187 37 for for IN 39713 4187 38 example example NN 39713 4187 39 , , , 39713 4187 40 helium helium NN 39713 4187 41 , , , 39713 4187 42 that that DT 39713 4187 43 gas gas NN 39713 4187 44 almost almost RB 39713 4187 45 as as RB 39713 4187 46 light light JJ 39713 4187 47 as as IN 39713 4187 48 hydrogen hydrogen NN 39713 4187 49 . . . 39713 4188 1 That that IN 39713 4188 2 already already RB 39713 4188 3 contradicted contradict VBD 39713 4188 4 Comte Comte NNP 39713 4188 5 . . . 39713 4189 1 But but CC 39713 4189 2 to to IN 39713 4189 3 the the DT 39713 4189 4 spectroscope spectroscope NN 39713 4189 5 we -PRON- PRP 39713 4189 6 owe owe VBP 39713 4189 7 a a DT 39713 4189 8 lesson lesson NN 39713 4189 9 precious precious JJ 39713 4189 10 in in IN 39713 4189 11 a a DT 39713 4189 12 quite quite RB 39713 4189 13 different different JJ 39713 4189 14 way way NN 39713 4189 15 ; ; : 39713 4189 16 in in IN 39713 4189 17 the the DT 39713 4189 18 most most RBS 39713 4189 19 distant distant JJ 39713 4189 20 stars star NNS 39713 4189 21 , , , 39713 4189 22 it -PRON- PRP 39713 4189 23 shows show VBZ 39713 4189 24 us -PRON- PRP 39713 4189 25 the the DT 39713 4189 26 same same JJ 39713 4189 27 substances substance NNS 39713 4189 28 . . . 39713 4190 1 It -PRON- PRP 39713 4190 2 might may MD 39713 4190 3 have have VB 39713 4190 4 been be VBN 39713 4190 5 asked ask VBN 39713 4190 6 whether whether IN 39713 4190 7 the the DT 39713 4190 8 terrestrial terrestrial JJ 39713 4190 9 elements element NNS 39713 4190 10 were be VBD 39713 4190 11 not not RB 39713 4190 12 due due JJ 39713 4190 13 to to IN 39713 4190 14 some some DT 39713 4190 15 chance chance NN 39713 4190 16 which which WDT 39713 4190 17 had have VBD 39713 4190 18 brought bring VBN 39713 4190 19 together together RB 39713 4190 20 more more RBR 39713 4190 21 tenuous tenuous JJ 39713 4190 22 atoms atom NNS 39713 4190 23 to to TO 39713 4190 24 construct construct VB 39713 4190 25 of of IN 39713 4190 26 them -PRON- PRP 39713 4190 27 the the DT 39713 4190 28 more more RBR 39713 4190 29 complex complex JJ 39713 4190 30 edifice edifice NN 39713 4190 31 that that IN 39713 4190 32 the the DT 39713 4190 33 chemists chemist NNS 39713 4190 34 call call VBP 39713 4190 35 atom atom NNS 39713 4190 36 ; ; : 39713 4190 37 whether whether CC 39713 4190 38 , , , 39713 4190 39 in in IN 39713 4190 40 other other JJ 39713 4190 41 regions region NNS 39713 4190 42 of of IN 39713 4190 43 the the DT 39713 4190 44 universe universe NN 39713 4190 45 , , , 39713 4190 46 other other JJ 39713 4190 47 fortuitous fortuitous JJ 39713 4190 48 meetings meeting NNS 39713 4190 49 had have VBD 39713 4190 50 not not RB 39713 4190 51 engendered engender VBN 39713 4190 52 edifices edifice NNS 39713 4190 53 entirely entirely RB 39713 4190 54 different different JJ 39713 4190 55 . . . 39713 4191 1 Now now RB 39713 4191 2 we -PRON- PRP 39713 4191 3 know know VBP 39713 4191 4 that that IN 39713 4191 5 this this DT 39713 4191 6 is be VBZ 39713 4191 7 not not RB 39713 4191 8 so so RB 39713 4191 9 , , , 39713 4191 10 that that IN 39713 4191 11 the the DT 39713 4191 12 laws law NNS 39713 4191 13 of of IN 39713 4191 14 our -PRON- PRP$ 39713 4191 15 chemistry chemistry NN 39713 4191 16 are be VBP 39713 4191 17 the the DT 39713 4191 18 general general JJ 39713 4191 19 laws law NNS 39713 4191 20 of of IN 39713 4191 21 nature nature NN 39713 4191 22 , , , 39713 4191 23 and and CC 39713 4191 24 that that IN 39713 4191 25 they -PRON- PRP 39713 4191 26 owe owe VBP 39713 4191 27 nothing nothing NN 39713 4191 28 to to IN 39713 4191 29 the the DT 39713 4191 30 chance chance NN 39713 4191 31 which which WDT 39713 4191 32 caused cause VBD 39713 4191 33 us -PRON- PRP 39713 4191 34 to to TO 39713 4191 35 be be VB 39713 4191 36 born bear VBN 39713 4191 37 on on IN 39713 4191 38 the the DT 39713 4191 39 earth earth NN 39713 4191 40 . . . 39713 4192 1 But but CC 39713 4192 2 , , , 39713 4192 3 it -PRON- PRP 39713 4192 4 will will MD 39713 4192 5 be be VB 39713 4192 6 said say VBN 39713 4192 7 , , , 39713 4192 8 astronomy astronomy NNP 39713 4192 9 has have VBZ 39713 4192 10 given give VBN 39713 4192 11 to to IN 39713 4192 12 the the DT 39713 4192 13 other other JJ 39713 4192 14 sciences science NNS 39713 4192 15 all all DT 39713 4192 16 it -PRON- PRP 39713 4192 17 can can MD 39713 4192 18 give give VB 39713 4192 19 them -PRON- PRP 39713 4192 20 , , , 39713 4192 21 and and CC 39713 4192 22 now now RB 39713 4192 23 that that IN 39713 4192 24 the the DT 39713 4192 25 heavens heavens NNPS 39713 4192 26 have have VBP 39713 4192 27 procured procure VBN 39713 4192 28 for for IN 39713 4192 29 us -PRON- PRP 39713 4192 30 the the DT 39713 4192 31 instruments instrument NNS 39713 4192 32 which which WDT 39713 4192 33 enable enable VBP 39713 4192 34 us -PRON- PRP 39713 4192 35 to to TO 39713 4192 36 study study VB 39713 4192 37 terrestrial terrestrial JJ 39713 4192 38 nature nature NN 39713 4192 39 , , , 39713 4192 40 they -PRON- PRP 39713 4192 41 could could MD 39713 4192 42 without without IN 39713 4192 43 danger danger NN 39713 4192 44 veil veil VB 39713 4192 45 themselves -PRON- PRP 39713 4192 46 forever forever RB 39713 4192 47 . . . 39713 4193 1 After after IN 39713 4193 2 what what WP 39713 4193 3 we -PRON- PRP 39713 4193 4 have have VBP 39713 4193 5 just just RB 39713 4193 6 said say VBN 39713 4193 7 , , , 39713 4193 8 is be VBZ 39713 4193 9 there there EX 39713 4193 10 still still RB 39713 4193 11 need need VBP 39713 4193 12 to to TO 39713 4193 13 answer answer VB 39713 4193 14 this this DT 39713 4193 15 objection objection NN 39713 4193 16 ? ? . 39713 4194 1 One one PRP 39713 4194 2 could could MD 39713 4194 3 have have VB 39713 4194 4 reasoned reason VBN 39713 4194 5 the the DT 39713 4194 6 same same JJ 39713 4194 7 in in IN 39713 4194 8 Ptolemy Ptolemy NNP 39713 4194 9 's 's POS 39713 4194 10 time time NN 39713 4194 11 ; ; : 39713 4194 12 then then RB 39713 4194 13 also also RB 39713 4194 14 men man NNS 39713 4194 15 thought think VBD 39713 4194 16 they -PRON- PRP 39713 4194 17 knew know VBD 39713 4194 18 everything everything NN 39713 4194 19 , , , 39713 4194 20 and and CC 39713 4194 21 they -PRON- PRP 39713 4194 22 still still RB 39713 4194 23 had have VBD 39713 4194 24 almost almost RB 39713 4194 25 everything everything NN 39713 4194 26 to to TO 39713 4194 27 learn learn VB 39713 4194 28 . . . 39713 4195 1 The the DT 39713 4195 2 stars star NNS 39713 4195 3 are be VBP 39713 4195 4 majestic majestic JJ 39713 4195 5 laboratories laboratory NNS 39713 4195 6 , , , 39713 4195 7 gigantic gigantic JJ 39713 4195 8 crucibles crucible NNS 39713 4195 9 , , , 39713 4195 10 such such JJ 39713 4195 11 as as IN 39713 4195 12 no no DT 39713 4195 13 chemist chemist NN 39713 4195 14 could could MD 39713 4195 15 dream dream VB 39713 4195 16 . . . 39713 4196 1 There there EX 39713 4196 2 reign reign JJ 39713 4196 3 temperatures temperature NNS 39713 4196 4 impossible impossible JJ 39713 4196 5 for for IN 39713 4196 6 us -PRON- PRP 39713 4196 7 to to TO 39713 4196 8 realize realize VB 39713 4196 9 . . . 39713 4197 1 Their -PRON- PRP$ 39713 4197 2 only only JJ 39713 4197 3 defect defect NN 39713 4197 4 is be VBZ 39713 4197 5 being be VBG 39713 4197 6 a a DT 39713 4197 7 little little JJ 39713 4197 8 far far RB 39713 4197 9 away away RB 39713 4197 10 ; ; : 39713 4197 11 but but CC 39713 4197 12 the the DT 39713 4197 13 telescope telescope NN 39713 4197 14 will will MD 39713 4197 15 soon soon RB 39713 4197 16 bring bring VB 39713 4197 17 them -PRON- PRP 39713 4197 18 near near RB 39713 4197 19 to to IN 39713 4197 20 us -PRON- PRP 39713 4197 21 , , , 39713 4197 22 and and CC 39713 4197 23 then then RB 39713 4197 24 we -PRON- PRP 39713 4197 25 shall shall MD 39713 4197 26 see see VB 39713 4197 27 how how WRB 39713 4197 28 matter matter NN 39713 4197 29 acts act VBZ 39713 4197 30 there there RB 39713 4197 31 . . . 39713 4198 1 What what WP 39713 4198 2 good good JJ 39713 4198 3 fortune fortune NN 39713 4198 4 for for IN 39713 4198 5 the the DT 39713 4198 6 physicist physicist NN 39713 4198 7 and and CC 39713 4198 8 the the DT 39713 4198 9 chemist chemist NN 39713 4198 10 ! ! . 39713 4199 1 Matter Matter NNP 39713 4199 2 will will MD 39713 4199 3 there there EX 39713 4199 4 exhibit exhibit VB 39713 4199 5 itself -PRON- PRP 39713 4199 6 to to IN 39713 4199 7 us -PRON- PRP 39713 4199 8 under under IN 39713 4199 9 a a DT 39713 4199 10 thousand thousand CD 39713 4199 11 different different JJ 39713 4199 12 states state NNS 39713 4199 13 , , , 39713 4199 14 from from IN 39713 4199 15 those those DT 39713 4199 16 rarefied rarefy VBN 39713 4199 17 gases gas NNS 39713 4199 18 which which WDT 39713 4199 19 seem seem VBP 39713 4199 20 to to TO 39713 4199 21 form form VB 39713 4199 22 the the DT 39713 4199 23 nebulæ nebulæ NN 39713 4199 24 and and CC 39713 4199 25 which which WDT 39713 4199 26 are be VBP 39713 4199 27 luminous luminous JJ 39713 4199 28 with with IN 39713 4199 29 I -PRON- PRP 39713 4199 30 know know VBP 39713 4199 31 not not RB 39713 4199 32 what what WP 39713 4199 33 glimmering glimmering NN 39713 4199 34 of of IN 39713 4199 35 mysterious mysterious JJ 39713 4199 36 origin origin NN 39713 4199 37 , , , 39713 4199 38 even even RB 39713 4199 39 to to IN 39713 4199 40 the the DT 39713 4199 41 incandescent incandescent JJ 39713 4199 42 stars star NNS 39713 4199 43 and and CC 39713 4199 44 to to IN 39713 4199 45 the the DT 39713 4199 46 planets planet NNS 39713 4199 47 so so RB 39713 4199 48 near near RB 39713 4199 49 and and CC 39713 4199 50 yet yet RB 39713 4199 51 so so RB 39713 4199 52 different different JJ 39713 4199 53 . . . 39713 4200 1 Perchance perchance RB 39713 4200 2 even even RB 39713 4200 3 , , , 39713 4200 4 the the DT 39713 4200 5 stars star NNS 39713 4200 6 will will MD 39713 4200 7 some some DT 39713 4200 8 day day NN 39713 4200 9 teach teach VB 39713 4200 10 us -PRON- PRP 39713 4200 11 something something NN 39713 4200 12 about about IN 39713 4200 13 life life NN 39713 4200 14 ; ; : 39713 4200 15 that that DT 39713 4200 16 seems seem VBZ 39713 4200 17 an an DT 39713 4200 18 insensate insensate NN 39713 4200 19 dream dream NN 39713 4200 20 and and CC 39713 4200 21 I -PRON- PRP 39713 4200 22 do do VBP 39713 4200 23 not not RB 39713 4200 24 at at RB 39713 4200 25 all all RB 39713 4200 26 see see VB 39713 4200 27 how how WRB 39713 4200 28 it -PRON- PRP 39713 4200 29 can can MD 39713 4200 30 be be VB 39713 4200 31 realized realize VBN 39713 4200 32 ; ; : 39713 4200 33 but but CC 39713 4200 34 , , , 39713 4200 35 a a DT 39713 4200 36 hundred hundred CD 39713 4200 37 years year NNS 39713 4200 38 ago ago RB 39713 4200 39 , , , 39713 4200 40 would would MD 39713 4200 41 not not RB 39713 4200 42 the the DT 39713 4200 43 chemistry chemistry NN 39713 4200 44 of of IN 39713 4200 45 the the DT 39713 4200 46 stars star NNS 39713 4200 47 have have VBP 39713 4200 48 also also RB 39713 4200 49 appeared appear VBN 39713 4200 50 a a DT 39713 4200 51 mad mad JJ 39713 4200 52 dream dream NN 39713 4200 53 ? ? . 39713 4201 1 But but CC 39713 4201 2 limiting limit VBG 39713 4201 3 our -PRON- PRP$ 39713 4201 4 views view NNS 39713 4201 5 to to IN 39713 4201 6 horizons horizon NNS 39713 4201 7 less less RBR 39713 4201 8 distant distant JJ 39713 4201 9 , , , 39713 4201 10 there there EX 39713 4201 11 still still RB 39713 4201 12 will will MD 39713 4201 13 remain remain VB 39713 4201 14 to to IN 39713 4201 15 us -PRON- PRP 39713 4201 16 promises promise VBZ 39713 4201 17 less less RBR 39713 4201 18 contingent contingent JJ 39713 4201 19 and and CC 39713 4201 20 yet yet RB 39713 4201 21 sufficiently sufficiently RB 39713 4201 22 seductive seductive JJ 39713 4201 23 . . . 39713 4202 1 If if IN 39713 4202 2 the the DT 39713 4202 3 past past NN 39713 4202 4 has have VBZ 39713 4202 5 given give VBN 39713 4202 6 us -PRON- PRP 39713 4202 7 much much JJ 39713 4202 8 , , , 39713 4202 9 we -PRON- PRP 39713 4202 10 may may MD 39713 4202 11 rest rest VB 39713 4202 12 assured assure VBN 39713 4202 13 that that IN 39713 4202 14 the the DT 39713 4202 15 future future NN 39713 4202 16 will will MD 39713 4202 17 give give VB 39713 4202 18 us -PRON- PRP 39713 4202 19 still still RB 39713 4202 20 more more RBR 39713 4202 21 . . . 39713 4203 1 In in IN 39713 4203 2 sum sum NN 39713 4203 3 , , , 39713 4203 4 it -PRON- PRP 39713 4203 5 is be VBZ 39713 4203 6 incredible incredible JJ 39713 4203 7 how how WRB 39713 4203 8 useful useful JJ 39713 4203 9 belief belief NN 39713 4203 10 in in IN 39713 4203 11 astrology astrology NN 39713 4203 12 has have VBZ 39713 4203 13 been be VBN 39713 4203 14 to to IN 39713 4203 15 humanity humanity NN 39713 4203 16 . . . 39713 4204 1 If if IN 39713 4204 2 Kepler Kepler NNP 39713 4204 3 and and CC 39713 4204 4 Tycho Tycho NNP 39713 4204 5 Brahe Brahe NNP 39713 4204 6 made make VBD 39713 4204 7 a a DT 39713 4204 8 living living NN 39713 4204 9 , , , 39713 4204 10 it -PRON- PRP 39713 4204 11 was be VBD 39713 4204 12 because because IN 39713 4204 13 they -PRON- PRP 39713 4204 14 sold sell VBD 39713 4204 15 to to IN 39713 4204 16 naïve naïve NNP 39713 4204 17 kings king NNS 39713 4204 18 predictions prediction NNS 39713 4204 19 founded found VBN 39713 4204 20 on on IN 39713 4204 21 the the DT 39713 4204 22 conjunctions conjunction NNS 39713 4204 23 of of IN 39713 4204 24 the the DT 39713 4204 25 stars star NNS 39713 4204 26 . . . 39713 4205 1 If if IN 39713 4205 2 these these DT 39713 4205 3 princes prince NNS 39713 4205 4 had have VBD 39713 4205 5 not not RB 39713 4205 6 been be VBN 39713 4205 7 so so RB 39713 4205 8 credulous credulous JJ 39713 4205 9 , , , 39713 4205 10 we -PRON- PRP 39713 4205 11 should should MD 39713 4205 12 perhaps perhaps RB 39713 4205 13 still still RB 39713 4205 14 believe believe VB 39713 4205 15 that that IN 39713 4205 16 nature nature NN 39713 4205 17 obeys obey VBZ 39713 4205 18 caprice caprice NN 39713 4205 19 , , , 39713 4205 20 and and CC 39713 4205 21 we -PRON- PRP 39713 4205 22 should should MD 39713 4205 23 still still RB 39713 4205 24 wallow wallow VB 39713 4205 25 in in IN 39713 4205 26 ignorance ignorance NN 39713 4205 27 . . . 39713 4206 1 CHAPTER chapter NN 39713 4206 2 VII VII NNP 39713 4206 3 THE the DT 39713 4206 4 HISTORY HISTORY NNP 39713 4206 5 OF of IN 39713 4206 6 MATHEMATICAL MATHEMATICAL NNP 39713 4206 7 PHYSICS PHYSICS NNP 39713 4206 8 _ _ NNP 39713 4206 9 The the DT 39713 4206 10 Past past NN 39713 4206 11 and and CC 39713 4206 12 the the DT 39713 4206 13 Future future NN 39713 4206 14 of of IN 39713 4206 15 Physics._--What physics._--what CD 39713 4206 16 is be VBZ 39713 4206 17 the the DT 39713 4206 18 present present JJ 39713 4206 19 state state NN 39713 4206 20 of of IN 39713 4206 21 mathematical mathematical JJ 39713 4206 22 physics physics NN 39713 4206 23 ? ? . 39713 4207 1 What what WP 39713 4207 2 are be VBP 39713 4207 3 the the DT 39713 4207 4 problems problem NNS 39713 4207 5 it -PRON- PRP 39713 4207 6 is be VBZ 39713 4207 7 led lead VBN 39713 4207 8 to to TO 39713 4207 9 set set VB 39713 4207 10 itself -PRON- PRP 39713 4207 11 ? ? . 39713 4208 1 What what WP 39713 4208 2 is be VBZ 39713 4208 3 its -PRON- PRP$ 39713 4208 4 future future NN 39713 4208 5 ? ? . 39713 4209 1 Is be VBZ 39713 4209 2 its -PRON- PRP$ 39713 4209 3 orientation orientation NN 39713 4209 4 about about IN 39713 4209 5 to to TO 39713 4209 6 be be VB 39713 4209 7 modified modify VBN 39713 4209 8 ? ? . 39713 4210 1 Ten ten CD 39713 4210 2 years year NNS 39713 4210 3 hence hence RB 39713 4210 4 will will MD 39713 4210 5 the the DT 39713 4210 6 aim aim NN 39713 4210 7 and and CC 39713 4210 8 the the DT 39713 4210 9 methods method NNS 39713 4210 10 of of IN 39713 4210 11 this this DT 39713 4210 12 science science NN 39713 4210 13 appear appear VBP 39713 4210 14 to to IN 39713 4210 15 our -PRON- PRP$ 39713 4210 16 immediate immediate JJ 39713 4210 17 successors successor NNS 39713 4210 18 in in IN 39713 4210 19 the the DT 39713 4210 20 same same JJ 39713 4210 21 light light NN 39713 4210 22 as as IN 39713 4210 23 to to IN 39713 4210 24 ourselves -PRON- PRP 39713 4210 25 ; ; : 39713 4210 26 or or CC 39713 4210 27 , , , 39713 4210 28 on on IN 39713 4210 29 the the DT 39713 4210 30 contrary contrary NN 39713 4210 31 , , , 39713 4210 32 are be VBP 39713 4210 33 we -PRON- PRP 39713 4210 34 about about IN 39713 4210 35 to to TO 39713 4210 36 witness witness VB 39713 4210 37 a a DT 39713 4210 38 profound profound JJ 39713 4210 39 transformation transformation NN 39713 4210 40 ? ? . 39713 4211 1 Such such JJ 39713 4211 2 are be VBP 39713 4211 3 the the DT 39713 4211 4 questions question NNS 39713 4211 5 we -PRON- PRP 39713 4211 6 are be VBP 39713 4211 7 forced force VBN 39713 4211 8 to to TO 39713 4211 9 raise raise VB 39713 4211 10 in in IN 39713 4211 11 entering enter VBG 39713 4211 12 to to IN 39713 4211 13 - - HYPH 39713 4211 14 day day NN 39713 4211 15 upon upon IN 39713 4211 16 our -PRON- PRP$ 39713 4211 17 investigation investigation NN 39713 4211 18 . . . 39713 4212 1 If if IN 39713 4212 2 it -PRON- PRP 39713 4212 3 is be VBZ 39713 4212 4 easy easy JJ 39713 4212 5 to to TO 39713 4212 6 propound propound VB 39713 4212 7 them -PRON- PRP 39713 4212 8 : : : 39713 4212 9 to to TO 39713 4212 10 answer answer VB 39713 4212 11 is be VBZ 39713 4212 12 difficult difficult JJ 39713 4212 13 . . . 39713 4213 1 If if IN 39713 4213 2 we -PRON- PRP 39713 4213 3 felt feel VBD 39713 4213 4 tempted tempt VBN 39713 4213 5 to to TO 39713 4213 6 risk risk VB 39713 4213 7 a a DT 39713 4213 8 prediction prediction NN 39713 4213 9 , , , 39713 4213 10 we -PRON- PRP 39713 4213 11 should should MD 39713 4213 12 easily easily RB 39713 4213 13 resist resist VB 39713 4213 14 this this DT 39713 4213 15 temptation temptation NN 39713 4213 16 , , , 39713 4213 17 by by IN 39713 4213 18 thinking think VBG 39713 4213 19 of of IN 39713 4213 20 all all PDT 39713 4213 21 the the DT 39713 4213 22 stupidities stupidity NNS 39713 4213 23 the the DT 39713 4213 24 most most RBS 39713 4213 25 eminent eminent JJ 39713 4213 26 savants savant NNS 39713 4213 27 of of IN 39713 4213 28 a a DT 39713 4213 29 hundred hundred CD 39713 4213 30 years year NNS 39713 4213 31 ago ago RB 39713 4213 32 would would MD 39713 4213 33 have have VB 39713 4213 34 uttered utter VBN 39713 4213 35 , , , 39713 4213 36 if if IN 39713 4213 37 some some DT 39713 4213 38 one one NN 39713 4213 39 had have VBD 39713 4213 40 asked ask VBN 39713 4213 41 them -PRON- PRP 39713 4213 42 what what WP 39713 4213 43 the the DT 39713 4213 44 science science NN 39713 4213 45 of of IN 39713 4213 46 the the DT 39713 4213 47 nineteenth nineteenth JJ 39713 4213 48 century century NN 39713 4213 49 would would MD 39713 4213 50 be be VB 39713 4213 51 . . . 39713 4214 1 They -PRON- PRP 39713 4214 2 would would MD 39713 4214 3 have have VB 39713 4214 4 thought think VBD 39713 4214 5 themselves -PRON- PRP 39713 4214 6 bold bold RB 39713 4214 7 in in IN 39713 4214 8 their -PRON- PRP$ 39713 4214 9 predictions prediction NNS 39713 4214 10 , , , 39713 4214 11 and and CC 39713 4214 12 after after IN 39713 4214 13 the the DT 39713 4214 14 event event NN 39713 4214 15 , , , 39713 4214 16 how how WRB 39713 4214 17 very very RB 39713 4214 18 timid timid JJ 39713 4214 19 we -PRON- PRP 39713 4214 20 should should MD 39713 4214 21 have have VB 39713 4214 22 found find VBN 39713 4214 23 them -PRON- PRP 39713 4214 24 . . . 39713 4215 1 Do do VB 39713 4215 2 not not RB 39713 4215 3 , , , 39713 4215 4 therefore therefore RB 39713 4215 5 , , , 39713 4215 6 expect expect VB 39713 4215 7 of of IN 39713 4215 8 me -PRON- PRP 39713 4215 9 any any DT 39713 4215 10 prophecy prophecy NN 39713 4215 11 . . . 39713 4216 1 But but CC 39713 4216 2 if if IN 39713 4216 3 , , , 39713 4216 4 like like IN 39713 4216 5 all all DT 39713 4216 6 prudent prudent JJ 39713 4216 7 physicians physician NNS 39713 4216 8 , , , 39713 4216 9 I -PRON- PRP 39713 4216 10 shun shun VBP 39713 4216 11 giving give VBG 39713 4216 12 a a DT 39713 4216 13 prognosis prognosis NN 39713 4216 14 , , , 39713 4216 15 yet yet CC 39713 4216 16 I -PRON- PRP 39713 4216 17 can can MD 39713 4216 18 not not RB 39713 4216 19 dispense dispense VB 39713 4216 20 with with IN 39713 4216 21 a a DT 39713 4216 22 little little JJ 39713 4216 23 diagnostic diagnostic JJ 39713 4216 24 ; ; : 39713 4216 25 well well UH 39713 4216 26 , , , 39713 4216 27 yes yes UH 39713 4216 28 , , , 39713 4216 29 there there EX 39713 4216 30 are be VBP 39713 4216 31 indications indication NNS 39713 4216 32 of of IN 39713 4216 33 a a DT 39713 4216 34 serious serious JJ 39713 4216 35 crisis crisis NN 39713 4216 36 , , , 39713 4216 37 as as IN 39713 4216 38 if if IN 39713 4216 39 we -PRON- PRP 39713 4216 40 might may MD 39713 4216 41 expect expect VB 39713 4216 42 an an DT 39713 4216 43 approaching approaching JJ 39713 4216 44 transformation transformation NN 39713 4216 45 . . . 39713 4217 1 Still still RB 39713 4217 2 , , , 39713 4217 3 be be VB 39713 4217 4 not not RB 39713 4217 5 too too RB 39713 4217 6 anxious anxious JJ 39713 4217 7 : : : 39713 4217 8 we -PRON- PRP 39713 4217 9 are be VBP 39713 4217 10 sure sure JJ 39713 4217 11 the the DT 39713 4217 12 patient patient NN 39713 4217 13 will will MD 39713 4217 14 not not RB 39713 4217 15 die die VB 39713 4217 16 of of IN 39713 4217 17 it -PRON- PRP 39713 4217 18 , , , 39713 4217 19 and and CC 39713 4217 20 we -PRON- PRP 39713 4217 21 may may MD 39713 4217 22 even even RB 39713 4217 23 hope hope VB 39713 4217 24 that that IN 39713 4217 25 this this DT 39713 4217 26 crisis crisis NN 39713 4217 27 will will MD 39713 4217 28 be be VB 39713 4217 29 salutary salutary JJ 39713 4217 30 , , , 39713 4217 31 for for IN 39713 4217 32 the the DT 39713 4217 33 history history NN 39713 4217 34 of of IN 39713 4217 35 the the DT 39713 4217 36 past past NN 39713 4217 37 seems seem VBZ 39713 4217 38 to to TO 39713 4217 39 guarantee guarantee VB 39713 4217 40 us -PRON- PRP 39713 4217 41 this this DT 39713 4217 42 . . . 39713 4218 1 This this DT 39713 4218 2 crisis crisis NN 39713 4218 3 , , , 39713 4218 4 in in IN 39713 4218 5 fact fact NN 39713 4218 6 , , , 39713 4218 7 is be VBZ 39713 4218 8 not not RB 39713 4218 9 the the DT 39713 4218 10 first first JJ 39713 4218 11 , , , 39713 4218 12 and and CC 39713 4218 13 to to TO 39713 4218 14 understand understand VB 39713 4218 15 it -PRON- PRP 39713 4218 16 , , , 39713 4218 17 it -PRON- PRP 39713 4218 18 is be VBZ 39713 4218 19 important important JJ 39713 4218 20 to to TO 39713 4218 21 recall recall VB 39713 4218 22 those those DT 39713 4218 23 which which WDT 39713 4218 24 have have VBP 39713 4218 25 preceded precede VBN 39713 4218 26 . . . 39713 4219 1 Pardon Pardon NNP 39713 4219 2 then then RB 39713 4219 3 a a DT 39713 4219 4 brief brief JJ 39713 4219 5 historical historical JJ 39713 4219 6 sketch sketch NN 39713 4219 7 . . . 39713 4220 1 _ _ NNP 39713 4220 2 The the DT 39713 4220 3 Physics Physics NNP 39713 4220 4 of of IN 39713 4220 5 Central central JJ 39713 4220 6 Forces._--Mathematical forces._--mathematical JJ 39713 4220 7 physics physic NNS 39713 4220 8 , , , 39713 4220 9 as as IN 39713 4220 10 we -PRON- PRP 39713 4220 11 know know VBP 39713 4220 12 , , , 39713 4220 13 was be VBD 39713 4220 14 born bear VBN 39713 4220 15 of of IN 39713 4220 16 celestial celestial JJ 39713 4220 17 mechanics mechanic NNS 39713 4220 18 , , , 39713 4220 19 which which WDT 39713 4220 20 gave give VBD 39713 4220 21 birth birth NN 39713 4220 22 to to IN 39713 4220 23 it -PRON- PRP 39713 4220 24 at at IN 39713 4220 25 the the DT 39713 4220 26 end end NN 39713 4220 27 of of IN 39713 4220 28 the the DT 39713 4220 29 eighteenth eighteenth JJ 39713 4220 30 century century NN 39713 4220 31 , , , 39713 4220 32 at at IN 39713 4220 33 the the DT 39713 4220 34 moment moment NN 39713 4220 35 when when WRB 39713 4220 36 it -PRON- PRP 39713 4220 37 itself -PRON- PRP 39713 4220 38 attained attain VBD 39713 4220 39 its -PRON- PRP$ 39713 4220 40 complete complete JJ 39713 4220 41 development development NN 39713 4220 42 . . . 39713 4221 1 During during IN 39713 4221 2 its -PRON- PRP$ 39713 4221 3 first first JJ 39713 4221 4 years year NNS 39713 4221 5 especially especially RB 39713 4221 6 , , , 39713 4221 7 the the DT 39713 4221 8 infant infant NN 39713 4221 9 strikingly strikingly RB 39713 4221 10 resembled resemble VBD 39713 4221 11 its -PRON- PRP$ 39713 4221 12 mother mother NN 39713 4221 13 . . . 39713 4222 1 The the DT 39713 4222 2 astronomic astronomic JJ 39713 4222 3 universe universe NN 39713 4222 4 is be VBZ 39713 4222 5 formed form VBN 39713 4222 6 of of IN 39713 4222 7 masses masse NNS 39713 4222 8 , , , 39713 4222 9 very very RB 39713 4222 10 great great JJ 39713 4222 11 , , , 39713 4222 12 no no RB 39713 4222 13 doubt doubt RB 39713 4222 14 , , , 39713 4222 15 but but CC 39713 4222 16 separated separate VBN 39713 4222 17 by by IN 39713 4222 18 intervals interval NNS 39713 4222 19 so so RB 39713 4222 20 immense immense JJ 39713 4222 21 that that IN 39713 4222 22 they -PRON- PRP 39713 4222 23 appear appear VBP 39713 4222 24 to to IN 39713 4222 25 us -PRON- PRP 39713 4222 26 only only RB 39713 4222 27 as as IN 39713 4222 28 material material NN 39713 4222 29 points point NNS 39713 4222 30 . . . 39713 4223 1 These these DT 39713 4223 2 points point NNS 39713 4223 3 attract attract VBP 39713 4223 4 each each DT 39713 4223 5 other other JJ 39713 4223 6 inversely inversely RB 39713 4223 7 as as IN 39713 4223 8 the the DT 39713 4223 9 square square NN 39713 4223 10 of of IN 39713 4223 11 the the DT 39713 4223 12 distance distance NN 39713 4223 13 , , , 39713 4223 14 and and CC 39713 4223 15 this this DT 39713 4223 16 attraction attraction NN 39713 4223 17 is be VBZ 39713 4223 18 the the DT 39713 4223 19 sole sole JJ 39713 4223 20 force force NN 39713 4223 21 which which WDT 39713 4223 22 influences influence VBZ 39713 4223 23 their -PRON- PRP$ 39713 4223 24 movements movement NNS 39713 4223 25 . . . 39713 4224 1 But but CC 39713 4224 2 if if IN 39713 4224 3 our -PRON- PRP$ 39713 4224 4 senses sense NNS 39713 4224 5 were be VBD 39713 4224 6 sufficiently sufficiently RB 39713 4224 7 keen keen JJ 39713 4224 8 to to TO 39713 4224 9 show show VB 39713 4224 10 us -PRON- PRP 39713 4224 11 all all PDT 39713 4224 12 the the DT 39713 4224 13 details detail NNS 39713 4224 14 of of IN 39713 4224 15 the the DT 39713 4224 16 bodies body NNS 39713 4224 17 which which WDT 39713 4224 18 the the DT 39713 4224 19 physicist physicist JJ 39713 4224 20 studies study NNS 39713 4224 21 , , , 39713 4224 22 the the DT 39713 4224 23 spectacle spectacle NN 39713 4224 24 thus thus RB 39713 4224 25 disclosed disclose VBD 39713 4224 26 would would MD 39713 4224 27 scarcely scarcely RB 39713 4224 28 differ differ VB 39713 4224 29 from from IN 39713 4224 30 the the DT 39713 4224 31 one one NN 39713 4224 32 the the DT 39713 4224 33 astronomer astronomer NN 39713 4224 34 contemplates contemplate NNS 39713 4224 35 . . . 39713 4225 1 There there EX 39713 4225 2 also also RB 39713 4225 3 we -PRON- PRP 39713 4225 4 should should MD 39713 4225 5 see see VB 39713 4225 6 material material JJ 39713 4225 7 points point NNS 39713 4225 8 , , , 39713 4225 9 separated separate VBD 39713 4225 10 from from IN 39713 4225 11 one one CD 39713 4225 12 another another DT 39713 4225 13 by by IN 39713 4225 14 intervals interval NNS 39713 4225 15 , , , 39713 4225 16 enormous enormous JJ 39713 4225 17 in in IN 39713 4225 18 comparison comparison NN 39713 4225 19 with with IN 39713 4225 20 their -PRON- PRP$ 39713 4225 21 dimensions dimension NNS 39713 4225 22 , , , 39713 4225 23 and and CC 39713 4225 24 describing describe VBG 39713 4225 25 orbits orbit NNS 39713 4225 26 according accord VBG 39713 4225 27 to to IN 39713 4225 28 regular regular JJ 39713 4225 29 laws law NNS 39713 4225 30 . . . 39713 4226 1 These these DT 39713 4226 2 infinitesimal infinitesimal JJ 39713 4226 3 stars star NNS 39713 4226 4 are be VBP 39713 4226 5 the the DT 39713 4226 6 atoms atom NNS 39713 4226 7 . . . 39713 4227 1 Like like IN 39713 4227 2 the the DT 39713 4227 3 stars star NNS 39713 4227 4 proper proper JJ 39713 4227 5 , , , 39713 4227 6 they -PRON- PRP 39713 4227 7 attract attract VBP 39713 4227 8 or or CC 39713 4227 9 repel repel VBP 39713 4227 10 each each DT 39713 4227 11 other other JJ 39713 4227 12 , , , 39713 4227 13 and and CC 39713 4227 14 this this DT 39713 4227 15 attraction attraction NN 39713 4227 16 or or CC 39713 4227 17 this this DT 39713 4227 18 repulsion repulsion NN 39713 4227 19 , , , 39713 4227 20 following follow VBG 39713 4227 21 the the DT 39713 4227 22 straight straight JJ 39713 4227 23 line line NN 39713 4227 24 which which WDT 39713 4227 25 joins join VBZ 39713 4227 26 them -PRON- PRP 39713 4227 27 , , , 39713 4227 28 depends depend VBZ 39713 4227 29 only only RB 39713 4227 30 on on IN 39713 4227 31 the the DT 39713 4227 32 distance distance NN 39713 4227 33 . . . 39713 4228 1 The the DT 39713 4228 2 law law NN 39713 4228 3 according accord VBG 39713 4228 4 to to IN 39713 4228 5 which which WDT 39713 4228 6 this this DT 39713 4228 7 force force NN 39713 4228 8 varies vary VBZ 39713 4228 9 as as IN 39713 4228 10 function function NN 39713 4228 11 of of IN 39713 4228 12 the the DT 39713 4228 13 distance distance NN 39713 4228 14 is be VBZ 39713 4228 15 perhaps perhaps RB 39713 4228 16 not not RB 39713 4228 17 the the DT 39713 4228 18 law law NN 39713 4228 19 of of IN 39713 4228 20 Newton Newton NNP 39713 4228 21 , , , 39713 4228 22 but but CC 39713 4228 23 it -PRON- PRP 39713 4228 24 is be VBZ 39713 4228 25 an an DT 39713 4228 26 analogous analogous JJ 39713 4228 27 law law NN 39713 4228 28 ; ; : 39713 4228 29 in in IN 39713 4228 30 place place NN 39713 4228 31 of of IN 39713 4228 32 the the DT 39713 4228 33 exponent exponent NN 39713 4228 34 -2 -2 : 39713 4228 35 , , , 39713 4228 36 we -PRON- PRP 39713 4228 37 have have VBP 39713 4228 38 probably probably RB 39713 4228 39 a a DT 39713 4228 40 different different JJ 39713 4228 41 exponent exponent NN 39713 4228 42 , , , 39713 4228 43 and and CC 39713 4228 44 it -PRON- PRP 39713 4228 45 is be VBZ 39713 4228 46 from from IN 39713 4228 47 this this DT 39713 4228 48 change change NN 39713 4228 49 of of IN 39713 4228 50 exponent exponent NN 39713 4228 51 that that WDT 39713 4228 52 arises arise VBZ 39713 4228 53 all all PDT 39713 4228 54 the the DT 39713 4228 55 diversity diversity NN 39713 4228 56 of of IN 39713 4228 57 physical physical JJ 39713 4228 58 phenomena phenomenon NNS 39713 4228 59 , , , 39713 4228 60 the the DT 39713 4228 61 variety variety NN 39713 4228 62 of of IN 39713 4228 63 qualities quality NNS 39713 4228 64 and and CC 39713 4228 65 of of IN 39713 4228 66 sensations sensation NNS 39713 4228 67 , , , 39713 4228 68 all all PDT 39713 4228 69 the the DT 39713 4228 70 world world NN 39713 4228 71 , , , 39713 4228 72 colored colored JJ 39713 4228 73 and and CC 39713 4228 74 sonorous sonorous JJ 39713 4228 75 , , , 39713 4228 76 which which WDT 39713 4228 77 surrounds surround VBZ 39713 4228 78 us -PRON- PRP 39713 4228 79 ; ; : 39713 4228 80 in in IN 39713 4228 81 a a DT 39713 4228 82 word word NN 39713 4228 83 , , , 39713 4228 84 all all DT 39713 4228 85 nature nature NN 39713 4228 86 . . . 39713 4229 1 Such such JJ 39713 4229 2 is be VBZ 39713 4229 3 the the DT 39713 4229 4 primitive primitive JJ 39713 4229 5 conception conception NN 39713 4229 6 in in IN 39713 4229 7 all all DT 39713 4229 8 its -PRON- PRP$ 39713 4229 9 purity purity NN 39713 4229 10 . . . 39713 4230 1 It -PRON- PRP 39713 4230 2 only only RB 39713 4230 3 remains remain VBZ 39713 4230 4 to to TO 39713 4230 5 seek seek VB 39713 4230 6 in in IN 39713 4230 7 the the DT 39713 4230 8 different different JJ 39713 4230 9 cases case NNS 39713 4230 10 what what WDT 39713 4230 11 value value NN 39713 4230 12 should should MD 39713 4230 13 be be VB 39713 4230 14 given give VBN 39713 4230 15 to to IN 39713 4230 16 this this DT 39713 4230 17 exponent exponent NN 39713 4230 18 in in IN 39713 4230 19 order order NN 39713 4230 20 to to TO 39713 4230 21 explain explain VB 39713 4230 22 all all PDT 39713 4230 23 the the DT 39713 4230 24 facts fact NNS 39713 4230 25 . . . 39713 4231 1 It -PRON- PRP 39713 4231 2 is be VBZ 39713 4231 3 on on IN 39713 4231 4 this this DT 39713 4231 5 model model NN 39713 4231 6 that that IN 39713 4231 7 Laplace Laplace NNP 39713 4231 8 , , , 39713 4231 9 for for IN 39713 4231 10 example example NN 39713 4231 11 , , , 39713 4231 12 constructed construct VBD 39713 4231 13 his -PRON- PRP$ 39713 4231 14 beautiful beautiful JJ 39713 4231 15 theory theory NN 39713 4231 16 of of IN 39713 4231 17 capillarity capillarity NN 39713 4231 18 ; ; : 39713 4231 19 he -PRON- PRP 39713 4231 20 regards regard VBZ 39713 4231 21 it -PRON- PRP 39713 4231 22 only only RB 39713 4231 23 as as IN 39713 4231 24 a a DT 39713 4231 25 particular particular JJ 39713 4231 26 case case NN 39713 4231 27 of of IN 39713 4231 28 attraction attraction NN 39713 4231 29 , , , 39713 4231 30 or or CC 39713 4231 31 , , , 39713 4231 32 as as IN 39713 4231 33 he -PRON- PRP 39713 4231 34 says say VBZ 39713 4231 35 , , , 39713 4231 36 of of IN 39713 4231 37 universal universal NNP 39713 4231 38 gravitation gravitation NNP 39713 4231 39 , , , 39713 4231 40 and and CC 39713 4231 41 no no DT 39713 4231 42 one one NN 39713 4231 43 is be VBZ 39713 4231 44 astonished astonish VBN 39713 4231 45 to to TO 39713 4231 46 find find VB 39713 4231 47 it -PRON- PRP 39713 4231 48 in in IN 39713 4231 49 the the DT 39713 4231 50 middle middle NN 39713 4231 51 of of IN 39713 4231 52 one one CD 39713 4231 53 of of IN 39713 4231 54 the the DT 39713 4231 55 five five CD 39713 4231 56 volumes volume NNS 39713 4231 57 of of IN 39713 4231 58 the the DT 39713 4231 59 ' ' `` 39713 4231 60 Mécanique Mécanique NNP 39713 4231 61 céleste céleste NN 39713 4231 62 . . . 39713 4231 63 ' ' '' 39713 4232 1 More more RBR 39713 4232 2 recently recently RB 39713 4232 3 Briot Briot NNP 39713 4232 4 believes believe VBZ 39713 4232 5 he -PRON- PRP 39713 4232 6 penetrated penetrate VBD 39713 4232 7 the the DT 39713 4232 8 final final JJ 39713 4232 9 secret secret NN 39713 4232 10 of of IN 39713 4232 11 optics optic NNS 39713 4232 12 in in IN 39713 4232 13 demonstrating demonstrate VBG 39713 4232 14 that that IN 39713 4232 15 the the DT 39713 4232 16 atoms atom NNS 39713 4232 17 of of IN 39713 4232 18 ether ether NN 39713 4232 19 attract attract VBP 39713 4232 20 each each DT 39713 4232 21 other other JJ 39713 4232 22 in in IN 39713 4232 23 the the DT 39713 4232 24 inverse inverse NN 39713 4232 25 ratio ratio NN 39713 4232 26 of of IN 39713 4232 27 the the DT 39713 4232 28 sixth sixth JJ 39713 4232 29 power power NN 39713 4232 30 of of IN 39713 4232 31 the the DT 39713 4232 32 distance distance NN 39713 4232 33 ; ; : 39713 4232 34 and and CC 39713 4232 35 Maxwell Maxwell NNP 39713 4232 36 himself -PRON- PRP 39713 4232 37 , , , 39713 4232 38 does do VBZ 39713 4232 39 he -PRON- PRP 39713 4232 40 not not RB 39713 4232 41 say say VB 39713 4232 42 somewhere somewhere RB 39713 4232 43 that that IN 39713 4232 44 the the DT 39713 4232 45 atoms atom NNS 39713 4232 46 of of IN 39713 4232 47 gases gas NNS 39713 4232 48 repel repel VBP 39713 4232 49 each each DT 39713 4232 50 other other JJ 39713 4232 51 in in IN 39713 4232 52 the the DT 39713 4232 53 inverse inverse NN 39713 4232 54 ratio ratio NN 39713 4232 55 of of IN 39713 4232 56 the the DT 39713 4232 57 fifth fifth JJ 39713 4232 58 power power NN 39713 4232 59 of of IN 39713 4232 60 the the DT 39713 4232 61 distance distance NN 39713 4232 62 ? ? . 39713 4233 1 We -PRON- PRP 39713 4233 2 have have VBP 39713 4233 3 the the DT 39713 4233 4 exponent exponent JJ 39713 4233 5 -6 -6 : 39713 4233 6 , , , 39713 4233 7 or or CC 39713 4233 8 -5 -5 NNP 39713 4233 9 , , , 39713 4233 10 in in IN 39713 4233 11 place place NN 39713 4233 12 of of IN 39713 4233 13 the the DT 39713 4233 14 exponent exponent NN 39713 4233 15 -2 -2 : 39713 4233 16 , , , 39713 4233 17 but but CC 39713 4233 18 it -PRON- PRP 39713 4233 19 is be VBZ 39713 4233 20 always always RB 39713 4233 21 an an DT 39713 4233 22 exponent exponent NN 39713 4233 23 . . . 39713 4234 1 Among among IN 39713 4234 2 the the DT 39713 4234 3 theories theory NNS 39713 4234 4 of of IN 39713 4234 5 this this DT 39713 4234 6 epoch epoch NN 39713 4234 7 , , , 39713 4234 8 one one NN 39713 4234 9 alone alone RB 39713 4234 10 is be VBZ 39713 4234 11 an an DT 39713 4234 12 exception exception NN 39713 4234 13 , , , 39713 4234 14 that that DT 39713 4234 15 of of IN 39713 4234 16 Fourier Fourier NNP 39713 4234 17 ; ; : 39713 4234 18 in in IN 39713 4234 19 it -PRON- PRP 39713 4234 20 are be VBP 39713 4234 21 indeed indeed RB 39713 4234 22 atoms atom NNS 39713 4234 23 acting act VBG 39713 4234 24 at at IN 39713 4234 25 a a DT 39713 4234 26 distance distance NN 39713 4234 27 one one CD 39713 4234 28 upon upon IN 39713 4234 29 the the DT 39713 4234 30 other other JJ 39713 4234 31 ; ; : 39713 4234 32 they -PRON- PRP 39713 4234 33 mutually mutually RB 39713 4234 34 transmit transmit VBP 39713 4234 35 heat heat NN 39713 4234 36 , , , 39713 4234 37 but but CC 39713 4234 38 they -PRON- PRP 39713 4234 39 do do VBP 39713 4234 40 not not RB 39713 4234 41 attract attract VB 39713 4234 42 , , , 39713 4234 43 they -PRON- PRP 39713 4234 44 never never RB 39713 4234 45 budge budge VBP 39713 4234 46 . . . 39713 4235 1 From from IN 39713 4235 2 this this DT 39713 4235 3 point point NN 39713 4235 4 of of IN 39713 4235 5 view view NN 39713 4235 6 , , , 39713 4235 7 Fourier Fourier NNP 39713 4235 8 's 's POS 39713 4235 9 theory theory NN 39713 4235 10 must must MD 39713 4235 11 have have VB 39713 4235 12 appeared appear VBN 39713 4235 13 to to IN 39713 4235 14 the the DT 39713 4235 15 eyes eye NNS 39713 4235 16 of of IN 39713 4235 17 his -PRON- PRP$ 39713 4235 18 contemporaries contemporary NNS 39713 4235 19 , , , 39713 4235 20 to to IN 39713 4235 21 those those DT 39713 4235 22 of of IN 39713 4235 23 Fourier Fourier NNP 39713 4235 24 himself -PRON- PRP 39713 4235 25 , , , 39713 4235 26 as as IN 39713 4235 27 imperfect imperfect JJ 39713 4235 28 and and CC 39713 4235 29 provisional provisional JJ 39713 4235 30 . . . 39713 4236 1 This this DT 39713 4236 2 conception conception NN 39713 4236 3 was be VBD 39713 4236 4 not not RB 39713 4236 5 without without IN 39713 4236 6 grandeur grandeur NN 39713 4236 7 ; ; : 39713 4236 8 it -PRON- PRP 39713 4236 9 was be VBD 39713 4236 10 seductive seductive JJ 39713 4236 11 , , , 39713 4236 12 and and CC 39713 4236 13 many many JJ 39713 4236 14 among among IN 39713 4236 15 us -PRON- PRP 39713 4236 16 have have VBP 39713 4236 17 not not RB 39713 4236 18 finally finally RB 39713 4236 19 renounced renounce VBN 39713 4236 20 it -PRON- PRP 39713 4236 21 ; ; : 39713 4236 22 they -PRON- PRP 39713 4236 23 know know VBP 39713 4236 24 that that IN 39713 4236 25 one one PRP 39713 4236 26 will will MD 39713 4236 27 attain attain VB 39713 4236 28 the the DT 39713 4236 29 ultimate ultimate JJ 39713 4236 30 elements element NNS 39713 4236 31 of of IN 39713 4236 32 things thing NNS 39713 4236 33 only only RB 39713 4236 34 by by IN 39713 4236 35 patiently patiently RB 39713 4236 36 disentangling disentangle VBG 39713 4236 37 the the DT 39713 4236 38 complicated complicated JJ 39713 4236 39 skein skein NN 39713 4236 40 that that WDT 39713 4236 41 our -PRON- PRP$ 39713 4236 42 senses sense NNS 39713 4236 43 give give VBP 39713 4236 44 us -PRON- PRP 39713 4236 45 ; ; : 39713 4236 46 that that IN 39713 4236 47 it -PRON- PRP 39713 4236 48 is be VBZ 39713 4236 49 necessary necessary JJ 39713 4236 50 to to TO 39713 4236 51 advance advance VB 39713 4236 52 step step NN 39713 4236 53 by by IN 39713 4236 54 step step NN 39713 4236 55 , , , 39713 4236 56 neglecting neglect VBG 39713 4236 57 no no DT 39713 4236 58 intermediary intermediary NN 39713 4236 59 ; ; : 39713 4236 60 that that IN 39713 4236 61 our -PRON- PRP$ 39713 4236 62 fathers father NNS 39713 4236 63 were be VBD 39713 4236 64 wrong wrong JJ 39713 4236 65 in in IN 39713 4236 66 wishing wish VBG 39713 4236 67 to to TO 39713 4236 68 skip skip VB 39713 4236 69 stations station NNS 39713 4236 70 ; ; : 39713 4236 71 but but CC 39713 4236 72 they -PRON- PRP 39713 4236 73 believe believe VBP 39713 4236 74 that that IN 39713 4236 75 when when WRB 39713 4236 76 one one PRP 39713 4236 77 shall shall MD 39713 4236 78 have have VB 39713 4236 79 arrived arrive VBN 39713 4236 80 at at IN 39713 4236 81 these these DT 39713 4236 82 ultimate ultimate JJ 39713 4236 83 elements element NNS 39713 4236 84 , , , 39713 4236 85 there there EX 39713 4236 86 again again RB 39713 4236 87 will will MD 39713 4236 88 be be VB 39713 4236 89 found find VBN 39713 4236 90 the the DT 39713 4236 91 majestic majestic JJ 39713 4236 92 simplicity simplicity NN 39713 4236 93 of of IN 39713 4236 94 celestial celestial JJ 39713 4236 95 mechanics mechanic NNS 39713 4236 96 . . . 39713 4237 1 Neither neither DT 39713 4237 2 has have VBZ 39713 4237 3 this this DT 39713 4237 4 conception conception NN 39713 4237 5 been be VBN 39713 4237 6 useless useless JJ 39713 4237 7 ; ; : 39713 4237 8 it -PRON- PRP 39713 4237 9 has have VBZ 39713 4237 10 rendered render VBN 39713 4237 11 us -PRON- PRP 39713 4237 12 an an DT 39713 4237 13 inestimable inestimable JJ 39713 4237 14 service service NN 39713 4237 15 , , , 39713 4237 16 since since IN 39713 4237 17 it -PRON- PRP 39713 4237 18 has have VBZ 39713 4237 19 contributed contribute VBN 39713 4237 20 to to TO 39713 4237 21 make make VB 39713 4237 22 precise precise JJ 39713 4237 23 the the DT 39713 4237 24 fundamental fundamental JJ 39713 4237 25 notion notion NN 39713 4237 26 of of IN 39713 4237 27 the the DT 39713 4237 28 physical physical JJ 39713 4237 29 law law NN 39713 4237 30 . . . 39713 4238 1 I -PRON- PRP 39713 4238 2 will will MD 39713 4238 3 explain explain VB 39713 4238 4 myself -PRON- PRP 39713 4238 5 ; ; : 39713 4238 6 how how WRB 39713 4238 7 did do VBD 39713 4238 8 the the DT 39713 4238 9 ancients ancient NNS 39713 4238 10 understand understand VB 39713 4238 11 law law NN 39713 4238 12 ? ? . 39713 4239 1 It -PRON- PRP 39713 4239 2 was be VBD 39713 4239 3 for for IN 39713 4239 4 them -PRON- PRP 39713 4239 5 an an DT 39713 4239 6 internal internal JJ 39713 4239 7 harmony harmony NN 39713 4239 8 , , , 39713 4239 9 static static JJ 39713 4239 10 , , , 39713 4239 11 so so RB 39713 4239 12 to to TO 39713 4239 13 say say VB 39713 4239 14 , , , 39713 4239 15 and and CC 39713 4239 16 immutable immutable JJ 39713 4239 17 ; ; : 39713 4239 18 or or CC 39713 4239 19 else else RB 39713 4239 20 it -PRON- PRP 39713 4239 21 was be VBD 39713 4239 22 like like IN 39713 4239 23 a a DT 39713 4239 24 model model NN 39713 4239 25 that that WDT 39713 4239 26 nature nature NN 39713 4239 27 tried try VBD 39713 4239 28 to to TO 39713 4239 29 imitate imitate VB 39713 4239 30 . . . 39713 4240 1 For for IN 39713 4240 2 us -PRON- PRP 39713 4240 3 a a DT 39713 4240 4 law law NN 39713 4240 5 is be VBZ 39713 4240 6 something something NN 39713 4240 7 quite quite RB 39713 4240 8 different different JJ 39713 4240 9 ; ; : 39713 4240 10 it -PRON- PRP 39713 4240 11 is be VBZ 39713 4240 12 a a DT 39713 4240 13 constant constant JJ 39713 4240 14 relation relation NN 39713 4240 15 between between IN 39713 4240 16 the the DT 39713 4240 17 phenomenon phenomenon NN 39713 4240 18 of of IN 39713 4240 19 to to IN 39713 4240 20 - - HYPH 39713 4240 21 day day NN 39713 4240 22 and and CC 39713 4240 23 that that DT 39713 4240 24 of of IN 39713 4240 25 to to IN 39713 4240 26 - - HYPH 39713 4240 27 morrow morrow NNP 39713 4240 28 ; ; : 39713 4240 29 in in IN 39713 4240 30 a a DT 39713 4240 31 word word NN 39713 4240 32 , , , 39713 4240 33 it -PRON- PRP 39713 4240 34 is be VBZ 39713 4240 35 a a DT 39713 4240 36 differential differential JJ 39713 4240 37 equation equation NN 39713 4240 38 . . . 39713 4241 1 Behold behold VB 39713 4241 2 the the DT 39713 4241 3 ideal ideal JJ 39713 4241 4 form form NN 39713 4241 5 of of IN 39713 4241 6 physical physical JJ 39713 4241 7 law law NN 39713 4241 8 ; ; : 39713 4241 9 well well UH 39713 4241 10 , , , 39713 4241 11 it -PRON- PRP 39713 4241 12 is be VBZ 39713 4241 13 Newton Newton NNP 39713 4241 14 's 's POS 39713 4241 15 law law NN 39713 4241 16 which which WDT 39713 4241 17 first first RB 39713 4241 18 clothed clothe VBD 39713 4241 19 it -PRON- PRP 39713 4241 20 forth forth RB 39713 4241 21 . . . 39713 4242 1 If if IN 39713 4242 2 then then RB 39713 4242 3 one one PRP 39713 4242 4 has have VBZ 39713 4242 5 acclimated acclimate VBN 39713 4242 6 this this DT 39713 4242 7 form form NN 39713 4242 8 in in IN 39713 4242 9 physics physics NN 39713 4242 10 , , , 39713 4242 11 it -PRON- PRP 39713 4242 12 is be VBZ 39713 4242 13 precisely precisely RB 39713 4242 14 by by IN 39713 4242 15 copying copy VBG 39713 4242 16 as as RB 39713 4242 17 far far RB 39713 4242 18 as as IN 39713 4242 19 possible possible JJ 39713 4242 20 this this DT 39713 4242 21 law law NN 39713 4242 22 of of IN 39713 4242 23 Newton Newton NNP 39713 4242 24 , , , 39713 4242 25 that that RB 39713 4242 26 is be VBZ 39713 4242 27 by by IN 39713 4242 28 imitating imitate VBG 39713 4242 29 celestial celestial JJ 39713 4242 30 mechanics mechanic NNS 39713 4242 31 . . . 39713 4243 1 This this DT 39713 4243 2 is be VBZ 39713 4243 3 , , , 39713 4243 4 moreover moreover RB 39713 4243 5 , , , 39713 4243 6 the the DT 39713 4243 7 idea idea NN 39713 4243 8 I -PRON- PRP 39713 4243 9 have have VBP 39713 4243 10 tried try VBN 39713 4243 11 to to TO 39713 4243 12 bring bring VB 39713 4243 13 out out RP 39713 4243 14 in in IN 39713 4243 15 Chapter Chapter NNP 39713 4243 16 VI VI NNP 39713 4243 17 . . . 39713 4244 1 _ _ NNP 39713 4244 2 The the DT 39713 4244 3 Physics Physics NNP 39713 4244 4 of of IN 39713 4244 5 the the DT 39713 4244 6 Principles._--Nevertheless Principles._--Nevertheless NNP 39713 4244 7 , , , 39713 4244 8 a a DT 39713 4244 9 day day NN 39713 4244 10 arrived arrive VBD 39713 4244 11 when when WRB 39713 4244 12 the the DT 39713 4244 13 conception conception NN 39713 4244 14 of of IN 39713 4244 15 central central JJ 39713 4244 16 forces force NNS 39713 4244 17 no no RB 39713 4244 18 longer long RBR 39713 4244 19 appeared appear VBD 39713 4244 20 sufficient sufficient JJ 39713 4244 21 , , , 39713 4244 22 and and CC 39713 4244 23 this this DT 39713 4244 24 is be VBZ 39713 4244 25 the the DT 39713 4244 26 first first JJ 39713 4244 27 of of IN 39713 4244 28 those those DT 39713 4244 29 crises crisis NNS 39713 4244 30 of of IN 39713 4244 31 which which WDT 39713 4244 32 I -PRON- PRP 39713 4244 33 just just RB 39713 4244 34 now now RB 39713 4244 35 spoke speak VBD 39713 4244 36 . . . 39713 4245 1 What what WP 39713 4245 2 was be VBD 39713 4245 3 done do VBN 39713 4245 4 then then RB 39713 4245 5 ? ? . 39713 4246 1 The the DT 39713 4246 2 attempt attempt NN 39713 4246 3 to to TO 39713 4246 4 penetrate penetrate VB 39713 4246 5 into into IN 39713 4246 6 the the DT 39713 4246 7 detail detail NN 39713 4246 8 of of IN 39713 4246 9 the the DT 39713 4246 10 structure structure NN 39713 4246 11 of of IN 39713 4246 12 the the DT 39713 4246 13 universe universe NN 39713 4246 14 , , , 39713 4246 15 to to TO 39713 4246 16 isolate isolate VB 39713 4246 17 the the DT 39713 4246 18 pieces piece NNS 39713 4246 19 of of IN 39713 4246 20 this this DT 39713 4246 21 vast vast JJ 39713 4246 22 mechanism mechanism NN 39713 4246 23 , , , 39713 4246 24 to to TO 39713 4246 25 analyze analyze VB 39713 4246 26 one one CD 39713 4246 27 by by IN 39713 4246 28 one one CD 39713 4246 29 the the DT 39713 4246 30 forces force NNS 39713 4246 31 which which WDT 39713 4246 32 put put VBD 39713 4246 33 them -PRON- PRP 39713 4246 34 in in IN 39713 4246 35 motion motion NN 39713 4246 36 , , , 39713 4246 37 was be VBD 39713 4246 38 abandoned abandon VBN 39713 4246 39 , , , 39713 4246 40 and and CC 39713 4246 41 we -PRON- PRP 39713 4246 42 were be VBD 39713 4246 43 content content JJ 39713 4246 44 to to TO 39713 4246 45 take take VB 39713 4246 46 as as IN 39713 4246 47 guides guide VBZ 39713 4246 48 certain certain JJ 39713 4246 49 general general JJ 39713 4246 50 principles principle NNS 39713 4246 51 the the DT 39713 4246 52 express express JJ 39713 4246 53 object object NN 39713 4246 54 of of IN 39713 4246 55 which which WDT 39713 4246 56 is be VBZ 39713 4246 57 to to TO 39713 4246 58 spare spare VB 39713 4246 59 us -PRON- PRP 39713 4246 60 this this DT 39713 4246 61 minute minute JJ 39713 4246 62 study study NN 39713 4246 63 . . . 39713 4247 1 How how WRB 39713 4247 2 so so RB 39713 4247 3 ? ? . 39713 4248 1 Suppose suppose VB 39713 4248 2 we -PRON- PRP 39713 4248 3 have have VBP 39713 4248 4 before before IN 39713 4248 5 us -PRON- PRP 39713 4248 6 any any DT 39713 4248 7 machine machine NN 39713 4248 8 ; ; : 39713 4248 9 the the DT 39713 4248 10 initial initial JJ 39713 4248 11 wheel wheel NN 39713 4248 12 work work NN 39713 4248 13 and and CC 39713 4248 14 the the DT 39713 4248 15 final final JJ 39713 4248 16 wheel wheel NN 39713 4248 17 work work NN 39713 4248 18 alone alone RB 39713 4248 19 are be VBP 39713 4248 20 visible visible JJ 39713 4248 21 , , , 39713 4248 22 but but CC 39713 4248 23 the the DT 39713 4248 24 transmission transmission NN 39713 4248 25 , , , 39713 4248 26 the the DT 39713 4248 27 intermediary intermediary JJ 39713 4248 28 machinery machinery NN 39713 4248 29 by by IN 39713 4248 30 which which WDT 39713 4248 31 the the DT 39713 4248 32 movement movement NN 39713 4248 33 is be VBZ 39713 4248 34 communicated communicate VBN 39713 4248 35 from from IN 39713 4248 36 one one CD 39713 4248 37 to to IN 39713 4248 38 the the DT 39713 4248 39 other other JJ 39713 4248 40 , , , 39713 4248 41 is be VBZ 39713 4248 42 hidden hide VBN 39713 4248 43 in in IN 39713 4248 44 the the DT 39713 4248 45 interior interior NNP 39713 4248 46 and and CC 39713 4248 47 escapes escape VBZ 39713 4248 48 our -PRON- PRP$ 39713 4248 49 view view NN 39713 4248 50 ; ; : 39713 4248 51 we -PRON- PRP 39713 4248 52 do do VBP 39713 4248 53 not not RB 39713 4248 54 know know VB 39713 4248 55 whether whether IN 39713 4248 56 the the DT 39713 4248 57 communication communication NN 39713 4248 58 is be VBZ 39713 4248 59 made make VBN 39713 4248 60 by by IN 39713 4248 61 gearing gearing NN 39713 4248 62 or or CC 39713 4248 63 by by IN 39713 4248 64 belts belt NNS 39713 4248 65 , , , 39713 4248 66 by by IN 39713 4248 67 connecting connect VBG 39713 4248 68 - - HYPH 39713 4248 69 rods rod NNS 39713 4248 70 or or CC 39713 4248 71 by by IN 39713 4248 72 other other JJ 39713 4248 73 contrivances contrivance NNS 39713 4248 74 . . . 39713 4249 1 Do do VBP 39713 4249 2 we -PRON- PRP 39713 4249 3 say say VB 39713 4249 4 that that IN 39713 4249 5 it -PRON- PRP 39713 4249 6 is be VBZ 39713 4249 7 impossible impossible JJ 39713 4249 8 for for IN 39713 4249 9 us -PRON- PRP 39713 4249 10 to to TO 39713 4249 11 understand understand VB 39713 4249 12 anything anything NN 39713 4249 13 about about IN 39713 4249 14 this this DT 39713 4249 15 machine machine NN 39713 4249 16 so so RB 39713 4249 17 long long RB 39713 4249 18 as as IN 39713 4249 19 we -PRON- PRP 39713 4249 20 are be VBP 39713 4249 21 not not RB 39713 4249 22 permitted permit VBN 39713 4249 23 to to TO 39713 4249 24 take take VB 39713 4249 25 it -PRON- PRP 39713 4249 26 to to IN 39713 4249 27 pieces piece NNS 39713 4249 28 ? ? . 39713 4250 1 You -PRON- PRP 39713 4250 2 know know VBP 39713 4250 3 well well UH 39713 4250 4 we -PRON- PRP 39713 4250 5 do do VBP 39713 4250 6 not not RB 39713 4250 7 , , , 39713 4250 8 and and CC 39713 4250 9 that that IN 39713 4250 10 the the DT 39713 4250 11 principle principle NN 39713 4250 12 of of IN 39713 4250 13 the the DT 39713 4250 14 conservation conservation NN 39713 4250 15 of of IN 39713 4250 16 energy energy NN 39713 4250 17 suffices suffice NNS 39713 4250 18 to to TO 39713 4250 19 determine determine VB 39713 4250 20 for for IN 39713 4250 21 us -PRON- PRP 39713 4250 22 the the DT 39713 4250 23 most most RBS 39713 4250 24 interesting interesting JJ 39713 4250 25 point point NN 39713 4250 26 . . . 39713 4251 1 We -PRON- PRP 39713 4251 2 easily easily RB 39713 4251 3 ascertain ascertain VBP 39713 4251 4 that that IN 39713 4251 5 the the DT 39713 4251 6 final final JJ 39713 4251 7 wheel wheel NN 39713 4251 8 turns turn VBZ 39713 4251 9 ten ten CD 39713 4251 10 times time NNS 39713 4251 11 less less RBR 39713 4251 12 quickly quickly RB 39713 4251 13 than than IN 39713 4251 14 the the DT 39713 4251 15 initial initial JJ 39713 4251 16 wheel wheel NN 39713 4251 17 , , , 39713 4251 18 since since IN 39713 4251 19 these these DT 39713 4251 20 two two CD 39713 4251 21 wheels wheel NNS 39713 4251 22 are be VBP 39713 4251 23 visible visible JJ 39713 4251 24 ; ; : 39713 4251 25 we -PRON- PRP 39713 4251 26 are be VBP 39713 4251 27 able able JJ 39713 4251 28 thence thence NN 39713 4251 29 to to TO 39713 4251 30 conclude conclude VB 39713 4251 31 that that IN 39713 4251 32 a a DT 39713 4251 33 couple couple NN 39713 4251 34 applied apply VBD 39713 4251 35 to to IN 39713 4251 36 the the DT 39713 4251 37 one one NN 39713 4251 38 will will MD 39713 4251 39 be be VB 39713 4251 40 balanced balance VBN 39713 4251 41 by by IN 39713 4251 42 a a DT 39713 4251 43 couple couple NN 39713 4251 44 ten ten CD 39713 4251 45 times time NNS 39713 4251 46 greater great JJR 39713 4251 47 applied apply VBD 39713 4251 48 to to IN 39713 4251 49 the the DT 39713 4251 50 other other JJ 39713 4251 51 . . . 39713 4252 1 For for IN 39713 4252 2 that that DT 39713 4252 3 there there EX 39713 4252 4 is be VBZ 39713 4252 5 no no DT 39713 4252 6 need need NN 39713 4252 7 to to TO 39713 4252 8 penetrate penetrate VB 39713 4252 9 the the DT 39713 4252 10 mechanism mechanism NN 39713 4252 11 of of IN 39713 4252 12 this this DT 39713 4252 13 equilibrium equilibrium NN 39713 4252 14 and and CC 39713 4252 15 to to TO 39713 4252 16 know know VB 39713 4252 17 how how WRB 39713 4252 18 the the DT 39713 4252 19 forces force NNS 39713 4252 20 compensate compensate VBP 39713 4252 21 each each DT 39713 4252 22 other other JJ 39713 4252 23 in in IN 39713 4252 24 the the DT 39713 4252 25 interior interior NN 39713 4252 26 of of IN 39713 4252 27 the the DT 39713 4252 28 machine machine NN 39713 4252 29 ; ; : 39713 4252 30 it -PRON- PRP 39713 4252 31 suffices suffice VBZ 39713 4252 32 to to TO 39713 4252 33 be be VB 39713 4252 34 assured assure VBN 39713 4252 35 that that IN 39713 4252 36 this this DT 39713 4252 37 compensation compensation NN 39713 4252 38 can can MD 39713 4252 39 not not RB 39713 4252 40 fail fail VB 39713 4252 41 to to TO 39713 4252 42 occur occur VB 39713 4252 43 . . . 39713 4253 1 Well well UH 39713 4253 2 , , , 39713 4253 3 in in IN 39713 4253 4 regard regard NN 39713 4253 5 to to IN 39713 4253 6 the the DT 39713 4253 7 universe universe NN 39713 4253 8 , , , 39713 4253 9 the the DT 39713 4253 10 principle principle NN 39713 4253 11 of of IN 39713 4253 12 the the DT 39713 4253 13 conservation conservation NN 39713 4253 14 of of IN 39713 4253 15 energy energy NN 39713 4253 16 is be VBZ 39713 4253 17 able able JJ 39713 4253 18 to to TO 39713 4253 19 render render VB 39713 4253 20 us -PRON- PRP 39713 4253 21 the the DT 39713 4253 22 same same JJ 39713 4253 23 service service NN 39713 4253 24 . . . 39713 4254 1 The the DT 39713 4254 2 universe universe NN 39713 4254 3 is be VBZ 39713 4254 4 also also RB 39713 4254 5 a a DT 39713 4254 6 machine machine NN 39713 4254 7 , , , 39713 4254 8 much much RB 39713 4254 9 more more RBR 39713 4254 10 complicated complicated JJ 39713 4254 11 than than IN 39713 4254 12 all all PDT 39713 4254 13 those those DT 39713 4254 14 of of IN 39713 4254 15 industry industry NN 39713 4254 16 , , , 39713 4254 17 of of IN 39713 4254 18 which which WDT 39713 4254 19 almost almost RB 39713 4254 20 all all PDT 39713 4254 21 the the DT 39713 4254 22 parts part NNS 39713 4254 23 are be VBP 39713 4254 24 profoundly profoundly RB 39713 4254 25 hidden hidden JJ 39713 4254 26 from from IN 39713 4254 27 us -PRON- PRP 39713 4254 28 ; ; : 39713 4254 29 but but CC 39713 4254 30 in in IN 39713 4254 31 observing observe VBG 39713 4254 32 the the DT 39713 4254 33 motion motion NN 39713 4254 34 of of IN 39713 4254 35 those those DT 39713 4254 36 that that WDT 39713 4254 37 we -PRON- PRP 39713 4254 38 can can MD 39713 4254 39 see see VB 39713 4254 40 , , , 39713 4254 41 we -PRON- PRP 39713 4254 42 are be VBP 39713 4254 43 able able JJ 39713 4254 44 , , , 39713 4254 45 by by IN 39713 4254 46 the the DT 39713 4254 47 aid aid NN 39713 4254 48 of of IN 39713 4254 49 this this DT 39713 4254 50 principle principle NN 39713 4254 51 , , , 39713 4254 52 to to TO 39713 4254 53 draw draw VB 39713 4254 54 conclusions conclusion NNS 39713 4254 55 which which WDT 39713 4254 56 remain remain VBP 39713 4254 57 true true JJ 39713 4254 58 whatever whatever WDT 39713 4254 59 may may MD 39713 4254 60 be be VB 39713 4254 61 the the DT 39713 4254 62 details detail NNS 39713 4254 63 of of IN 39713 4254 64 the the DT 39713 4254 65 invisible invisible JJ 39713 4254 66 mechanism mechanism NN 39713 4254 67 which which WDT 39713 4254 68 animates animate VBZ 39713 4254 69 them -PRON- PRP 39713 4254 70 . . . 39713 4255 1 The the DT 39713 4255 2 principle principle NN 39713 4255 3 of of IN 39713 4255 4 the the DT 39713 4255 5 conservation conservation NN 39713 4255 6 of of IN 39713 4255 7 energy energy NN 39713 4255 8 , , , 39713 4255 9 or or CC 39713 4255 10 Mayer Mayer NNP 39713 4255 11 's 's POS 39713 4255 12 principle principle NN 39713 4255 13 , , , 39713 4255 14 is be VBZ 39713 4255 15 certainly certainly RB 39713 4255 16 the the DT 39713 4255 17 most most RBS 39713 4255 18 important important JJ 39713 4255 19 , , , 39713 4255 20 but but CC 39713 4255 21 it -PRON- PRP 39713 4255 22 is be VBZ 39713 4255 23 not not RB 39713 4255 24 the the DT 39713 4255 25 only only JJ 39713 4255 26 one one CD 39713 4255 27 ; ; : 39713 4255 28 there there EX 39713 4255 29 are be VBP 39713 4255 30 others other NNS 39713 4255 31 from from IN 39713 4255 32 which which WDT 39713 4255 33 we -PRON- PRP 39713 4255 34 can can MD 39713 4255 35 derive derive VB 39713 4255 36 the the DT 39713 4255 37 same same JJ 39713 4255 38 advantage advantage NN 39713 4255 39 . . . 39713 4256 1 These these DT 39713 4256 2 are be VBP 39713 4256 3 : : : 39713 4256 4 Carnot Carnot NNP 39713 4256 5 's 's POS 39713 4256 6 principle principle NN 39713 4256 7 , , , 39713 4256 8 or or CC 39713 4256 9 the the DT 39713 4256 10 principle principle NN 39713 4256 11 of of IN 39713 4256 12 the the DT 39713 4256 13 degradation degradation NN 39713 4256 14 of of IN 39713 4256 15 energy energy NN 39713 4256 16 . . . 39713 4257 1 Newton Newton NNP 39713 4257 2 's 's POS 39713 4257 3 principle principle NN 39713 4257 4 , , , 39713 4257 5 or or CC 39713 4257 6 the the DT 39713 4257 7 principle principle NN 39713 4257 8 of of IN 39713 4257 9 the the DT 39713 4257 10 equality equality NN 39713 4257 11 of of IN 39713 4257 12 action action NN 39713 4257 13 and and CC 39713 4257 14 reaction reaction NN 39713 4257 15 . . . 39713 4258 1 The the DT 39713 4258 2 principle principle NN 39713 4258 3 of of IN 39713 4258 4 relativity relativity NN 39713 4258 5 , , , 39713 4258 6 according accord VBG 39713 4258 7 to to IN 39713 4258 8 which which WDT 39713 4258 9 the the DT 39713 4258 10 laws law NNS 39713 4258 11 of of IN 39713 4258 12 physical physical JJ 39713 4258 13 phenomena phenomenon NNS 39713 4258 14 must must MD 39713 4258 15 be be VB 39713 4258 16 the the DT 39713 4258 17 same same JJ 39713 4258 18 for for IN 39713 4258 19 a a DT 39713 4258 20 stationary stationary JJ 39713 4258 21 observer observer NN 39713 4258 22 as as IN 39713 4258 23 for for IN 39713 4258 24 an an DT 39713 4258 25 observer observer NN 39713 4258 26 carried carry VBN 39713 4258 27 along along RB 39713 4258 28 in in IN 39713 4258 29 a a DT 39713 4258 30 uniform uniform JJ 39713 4258 31 motion motion NN 39713 4258 32 of of IN 39713 4258 33 translation translation NN 39713 4258 34 ; ; : 39713 4258 35 so so CC 39713 4258 36 that that IN 39713 4258 37 we -PRON- PRP 39713 4258 38 have have VBP 39713 4258 39 not not RB 39713 4258 40 and and CC 39713 4258 41 can can MD 39713 4258 42 not not RB 39713 4258 43 have have VB 39713 4258 44 any any DT 39713 4258 45 means mean NNS 39713 4258 46 of of IN 39713 4258 47 discerning discerning NN 39713 4258 48 whether whether IN 39713 4258 49 or or CC 39713 4258 50 not not RB 39713 4258 51 we -PRON- PRP 39713 4258 52 are be VBP 39713 4258 53 carried carry VBN 39713 4258 54 along along RB 39713 4258 55 in in IN 39713 4258 56 such such PDT 39713 4258 57 a a DT 39713 4258 58 motion motion NN 39713 4258 59 . . . 39713 4259 1 The the DT 39713 4259 2 principle principle NN 39713 4259 3 of of IN 39713 4259 4 the the DT 39713 4259 5 conservation conservation NN 39713 4259 6 of of IN 39713 4259 7 mass mass NN 39713 4259 8 , , , 39713 4259 9 or or CC 39713 4259 10 Lavoisier Lavoisier NNP 39713 4259 11 's 's POS 39713 4259 12 principle principle NN 39713 4259 13 . . . 39713 4260 1 I -PRON- PRP 39713 4260 2 will will MD 39713 4260 3 add add VB 39713 4260 4 the the DT 39713 4260 5 principle principle NN 39713 4260 6 of of IN 39713 4260 7 least least JJS 39713 4260 8 action action NN 39713 4260 9 . . . 39713 4261 1 The the DT 39713 4261 2 application application NN 39713 4261 3 of of IN 39713 4261 4 these these DT 39713 4261 5 five five CD 39713 4261 6 or or CC 39713 4261 7 six six CD 39713 4261 8 general general JJ 39713 4261 9 principles principle NNS 39713 4261 10 to to IN 39713 4261 11 the the DT 39713 4261 12 different different JJ 39713 4261 13 physical physical JJ 39713 4261 14 phenomena phenomena NN 39713 4261 15 is be VBZ 39713 4261 16 sufficient sufficient JJ 39713 4261 17 for for IN 39713 4261 18 our -PRON- PRP$ 39713 4261 19 learning learning NN 39713 4261 20 of of IN 39713 4261 21 them -PRON- PRP 39713 4261 22 all all DT 39713 4261 23 that that WDT 39713 4261 24 we -PRON- PRP 39713 4261 25 could could MD 39713 4261 26 reasonably reasonably RB 39713 4261 27 hope hope VB 39713 4261 28 to to TO 39713 4261 29 know know VB 39713 4261 30 of of IN 39713 4261 31 them -PRON- PRP 39713 4261 32 . . . 39713 4262 1 The the DT 39713 4262 2 most most RBS 39713 4262 3 remarkable remarkable JJ 39713 4262 4 example example NN 39713 4262 5 of of IN 39713 4262 6 this this DT 39713 4262 7 new new JJ 39713 4262 8 mathematical mathematical JJ 39713 4262 9 physics physics NN 39713 4262 10 is be VBZ 39713 4262 11 , , , 39713 4262 12 beyond beyond IN 39713 4262 13 question question NN 39713 4262 14 , , , 39713 4262 15 Maxwell Maxwell NNP 39713 4262 16 's 's POS 39713 4262 17 electromagnetic electromagnetic JJ 39713 4262 18 theory theory NN 39713 4262 19 of of IN 39713 4262 20 light light NN 39713 4262 21 . . . 39713 4263 1 We -PRON- PRP 39713 4263 2 know know VBP 39713 4263 3 nothing nothing NN 39713 4263 4 as as IN 39713 4263 5 to to IN 39713 4263 6 what what WP 39713 4263 7 the the DT 39713 4263 8 ether ether NN 39713 4263 9 is be VBZ 39713 4263 10 , , , 39713 4263 11 how how WRB 39713 4263 12 its -PRON- PRP$ 39713 4263 13 molecules molecule NNS 39713 4263 14 are be VBP 39713 4263 15 disposed dispose VBN 39713 4263 16 , , , 39713 4263 17 whether whether IN 39713 4263 18 they -PRON- PRP 39713 4263 19 attract attract VBP 39713 4263 20 or or CC 39713 4263 21 repel repel VBP 39713 4263 22 each each DT 39713 4263 23 other other JJ 39713 4263 24 ; ; : 39713 4263 25 but but CC 39713 4263 26 we -PRON- PRP 39713 4263 27 know know VBP 39713 4263 28 that that IN 39713 4263 29 this this DT 39713 4263 30 medium medium JJ 39713 4263 31 transmits transmit NNS 39713 4263 32 at at IN 39713 4263 33 the the DT 39713 4263 34 same same JJ 39713 4263 35 time time NN 39713 4263 36 the the DT 39713 4263 37 optical optical JJ 39713 4263 38 perturbations perturbation NNS 39713 4263 39 and and CC 39713 4263 40 the the DT 39713 4263 41 electrical electrical JJ 39713 4263 42 perturbations perturbation NNS 39713 4263 43 ; ; : 39713 4263 44 we -PRON- PRP 39713 4263 45 know know VBP 39713 4263 46 that that IN 39713 4263 47 this this DT 39713 4263 48 transmission transmission NN 39713 4263 49 must must MD 39713 4263 50 take take VB 39713 4263 51 place place NN 39713 4263 52 in in IN 39713 4263 53 conformity conformity NN 39713 4263 54 with with IN 39713 4263 55 the the DT 39713 4263 56 general general JJ 39713 4263 57 principles principle NNS 39713 4263 58 of of IN 39713 4263 59 mechanics mechanic NNS 39713 4263 60 , , , 39713 4263 61 and and CC 39713 4263 62 that that DT 39713 4263 63 suffices suffice VBZ 39713 4263 64 us -PRON- PRP 39713 4263 65 for for IN 39713 4263 66 the the DT 39713 4263 67 establishment establishment NN 39713 4263 68 of of IN 39713 4263 69 the the DT 39713 4263 70 equations equation NNS 39713 4263 71 of of IN 39713 4263 72 the the DT 39713 4263 73 electromagnetic electromagnetic JJ 39713 4263 74 field field NN 39713 4263 75 . . . 39713 4264 1 These these DT 39713 4264 2 principles principle NNS 39713 4264 3 are be VBP 39713 4264 4 results result NNS 39713 4264 5 of of IN 39713 4264 6 experiments experiment NNS 39713 4264 7 boldly boldly RB 39713 4264 8 generalized generalize VBN 39713 4264 9 ; ; : 39713 4264 10 but but CC 39713 4264 11 they -PRON- PRP 39713 4264 12 seem seem VBP 39713 4264 13 to to TO 39713 4264 14 derive derive VB 39713 4264 15 from from IN 39713 4264 16 their -PRON- PRP$ 39713 4264 17 very very JJ 39713 4264 18 generality generality NN 39713 4264 19 a a DT 39713 4264 20 high high JJ 39713 4264 21 degree degree NN 39713 4264 22 of of IN 39713 4264 23 certainty certainty NN 39713 4264 24 . . . 39713 4265 1 In in IN 39713 4265 2 fact fact NN 39713 4265 3 , , , 39713 4265 4 the the DT 39713 4265 5 more more RBR 39713 4265 6 general general JJ 39713 4265 7 they -PRON- PRP 39713 4265 8 are be VBP 39713 4265 9 , , , 39713 4265 10 the the DT 39713 4265 11 more more RBR 39713 4265 12 frequent frequent JJ 39713 4265 13 are be VBP 39713 4265 14 the the DT 39713 4265 15 opportunities opportunity NNS 39713 4265 16 to to TO 39713 4265 17 check check VB 39713 4265 18 them -PRON- PRP 39713 4265 19 , , , 39713 4265 20 and and CC 39713 4265 21 the the DT 39713 4265 22 verifications verification NNS 39713 4265 23 multiplying multiply VBG 39713 4265 24 , , , 39713 4265 25 taking take VBG 39713 4265 26 the the DT 39713 4265 27 most most RBS 39713 4265 28 varied varied JJ 39713 4265 29 , , , 39713 4265 30 the the DT 39713 4265 31 most most RBS 39713 4265 32 unexpected unexpected JJ 39713 4265 33 forms form NNS 39713 4265 34 , , , 39713 4265 35 end end VBP 39713 4265 36 by by IN 39713 4265 37 no no RB 39713 4265 38 longer long RBR 39713 4265 39 leaving leave VBG 39713 4265 40 place place NN 39713 4265 41 for for IN 39713 4265 42 doubt doubt NN 39713 4265 43 . . . 39713 4266 1 _ _ NNP 39713 4266 2 Utility Utility NNP 39713 4266 3 of of IN 39713 4266 4 the the DT 39713 4266 5 Old old JJ 39713 4266 6 Physics._--Such physics._--such CD 39713 4266 7 is be VBZ 39713 4266 8 the the DT 39713 4266 9 second second JJ 39713 4266 10 phase phase NN 39713 4266 11 of of IN 39713 4266 12 the the DT 39713 4266 13 history history NN 39713 4266 14 of of IN 39713 4266 15 mathematical mathematical JJ 39713 4266 16 physics physic NNS 39713 4266 17 and and CC 39713 4266 18 we -PRON- PRP 39713 4266 19 have have VBP 39713 4266 20 not not RB 39713 4266 21 yet yet RB 39713 4266 22 emerged emerge VBN 39713 4266 23 from from IN 39713 4266 24 it -PRON- PRP 39713 4266 25 . . . 39713 4267 1 Shall Shall MD 39713 4267 2 we -PRON- PRP 39713 4267 3 say say VB 39713 4267 4 that that IN 39713 4267 5 the the DT 39713 4267 6 first first JJ 39713 4267 7 has have VBZ 39713 4267 8 been be VBN 39713 4267 9 useless useless JJ 39713 4267 10 ? ? . 39713 4268 1 that that IN 39713 4268 2 during during IN 39713 4268 3 fifty fifty CD 39713 4268 4 years year NNS 39713 4268 5 science science NN 39713 4268 6 went go VBD 39713 4268 7 the the DT 39713 4268 8 wrong wrong JJ 39713 4268 9 way way NN 39713 4268 10 , , , 39713 4268 11 and and CC 39713 4268 12 that that IN 39713 4268 13 there there EX 39713 4268 14 is be VBZ 39713 4268 15 nothing nothing NN 39713 4268 16 left leave VBN 39713 4268 17 but but CC 39713 4268 18 to to TO 39713 4268 19 forget forget VB 39713 4268 20 so so RB 39713 4268 21 many many JJ 39713 4268 22 accumulated accumulate VBN 39713 4268 23 efforts effort NNS 39713 4268 24 that that WDT 39713 4268 25 a a DT 39713 4268 26 vicious vicious JJ 39713 4268 27 conception conception NN 39713 4268 28 condemned condemn VBN 39713 4268 29 in in IN 39713 4268 30 advance advance NN 39713 4268 31 to to IN 39713 4268 32 failure failure NN 39713 4268 33 ? ? . 39713 4269 1 Not not RB 39713 4269 2 the the DT 39713 4269 3 least least JJS 39713 4269 4 in in IN 39713 4269 5 the the DT 39713 4269 6 world world NN 39713 4269 7 . . . 39713 4270 1 Do do VBP 39713 4270 2 you -PRON- PRP 39713 4270 3 think think VB 39713 4270 4 the the DT 39713 4270 5 second second JJ 39713 4270 6 phase phase NN 39713 4270 7 could could MD 39713 4270 8 have have VB 39713 4270 9 come come VBN 39713 4270 10 into into IN 39713 4270 11 existence existence NN 39713 4270 12 without without IN 39713 4270 13 the the DT 39713 4270 14 first first JJ 39713 4270 15 ? ? . 39713 4271 1 The the DT 39713 4271 2 hypothesis hypothesis NN 39713 4271 3 of of IN 39713 4271 4 central central JJ 39713 4271 5 forces force NNS 39713 4271 6 contained contain VBD 39713 4271 7 all all PDT 39713 4271 8 the the DT 39713 4271 9 principles principle NNS 39713 4271 10 ; ; : 39713 4271 11 it -PRON- PRP 39713 4271 12 involved involve VBD 39713 4271 13 them -PRON- PRP 39713 4271 14 as as IN 39713 4271 15 necessary necessary JJ 39713 4271 16 consequences consequence NNS 39713 4271 17 ; ; : 39713 4271 18 it -PRON- PRP 39713 4271 19 involved involve VBD 39713 4271 20 both both CC 39713 4271 21 the the DT 39713 4271 22 conservation conservation NN 39713 4271 23 of of IN 39713 4271 24 energy energy NN 39713 4271 25 and and CC 39713 4271 26 that that DT 39713 4271 27 of of IN 39713 4271 28 masses masse NNS 39713 4271 29 , , , 39713 4271 30 and and CC 39713 4271 31 the the DT 39713 4271 32 equality equality NN 39713 4271 33 of of IN 39713 4271 34 action action NN 39713 4271 35 and and CC 39713 4271 36 reaction reaction NN 39713 4271 37 , , , 39713 4271 38 and and CC 39713 4271 39 the the DT 39713 4271 40 law law NN 39713 4271 41 of of IN 39713 4271 42 least least JJS 39713 4271 43 action action NN 39713 4271 44 , , , 39713 4271 45 which which WDT 39713 4271 46 appeared appear VBD 39713 4271 47 , , , 39713 4271 48 it -PRON- PRP 39713 4271 49 is be VBZ 39713 4271 50 true true JJ 39713 4271 51 , , , 39713 4271 52 not not RB 39713 4271 53 as as IN 39713 4271 54 experimental experimental JJ 39713 4271 55 truths truth NNS 39713 4271 56 , , , 39713 4271 57 but but CC 39713 4271 58 as as IN 39713 4271 59 theorems theorem NNS 39713 4271 60 ; ; : 39713 4271 61 the the DT 39713 4271 62 enunciation enunciation NN 39713 4271 63 of of IN 39713 4271 64 which which WDT 39713 4271 65 had have VBD 39713 4271 66 at at IN 39713 4271 67 the the DT 39713 4271 68 same same JJ 39713 4271 69 time time NN 39713 4271 70 something something NN 39713 4271 71 more more RBR 39713 4271 72 precise precise JJ 39713 4271 73 and and CC 39713 4271 74 less less RBR 39713 4271 75 general general JJ 39713 4271 76 than than IN 39713 4271 77 under under IN 39713 4271 78 their -PRON- PRP$ 39713 4271 79 present present JJ 39713 4271 80 form form NN 39713 4271 81 . . . 39713 4272 1 It -PRON- PRP 39713 4272 2 is be VBZ 39713 4272 3 the the DT 39713 4272 4 mathematical mathematical JJ 39713 4272 5 physics physics NN 39713 4272 6 of of IN 39713 4272 7 our -PRON- PRP$ 39713 4272 8 fathers father NNS 39713 4272 9 which which WDT 39713 4272 10 has have VBZ 39713 4272 11 familiarized familiarize VBN 39713 4272 12 us -PRON- PRP 39713 4272 13 little little JJ 39713 4272 14 by by IN 39713 4272 15 little little JJ 39713 4272 16 with with IN 39713 4272 17 these these DT 39713 4272 18 various various JJ 39713 4272 19 principles principle NNS 39713 4272 20 ; ; : 39713 4272 21 which which WDT 39713 4272 22 has have VBZ 39713 4272 23 habituated habituate VBN 39713 4272 24 us -PRON- PRP 39713 4272 25 to to TO 39713 4272 26 recognize recognize VB 39713 4272 27 them -PRON- PRP 39713 4272 28 under under IN 39713 4272 29 the the DT 39713 4272 30 different different JJ 39713 4272 31 vestments vestment NNS 39713 4272 32 in in IN 39713 4272 33 which which WDT 39713 4272 34 they -PRON- PRP 39713 4272 35 disguise disguise VBP 39713 4272 36 themselves -PRON- PRP 39713 4272 37 . . . 39713 4273 1 They -PRON- PRP 39713 4273 2 have have VBP 39713 4273 3 been be VBN 39713 4273 4 compared compare VBN 39713 4273 5 with with IN 39713 4273 6 the the DT 39713 4273 7 data datum NNS 39713 4273 8 of of IN 39713 4273 9 experience experience NN 39713 4273 10 , , , 39713 4273 11 it -PRON- PRP 39713 4273 12 has have VBZ 39713 4273 13 been be VBN 39713 4273 14 seen see VBN 39713 4273 15 how how WRB 39713 4273 16 it -PRON- PRP 39713 4273 17 was be VBD 39713 4273 18 necessary necessary JJ 39713 4273 19 to to TO 39713 4273 20 modify modify VB 39713 4273 21 their -PRON- PRP$ 39713 4273 22 enunciation enunciation NN 39713 4273 23 to to TO 39713 4273 24 adapt adapt VB 39713 4273 25 them -PRON- PRP 39713 4273 26 to to IN 39713 4273 27 these these DT 39713 4273 28 data datum NNS 39713 4273 29 ; ; : 39713 4273 30 thereby thereby RB 39713 4273 31 they -PRON- PRP 39713 4273 32 have have VBP 39713 4273 33 been be VBN 39713 4273 34 extended extend VBN 39713 4273 35 and and CC 39713 4273 36 consolidated consolidated JJ 39713 4273 37 . . . 39713 4274 1 Thus thus RB 39713 4274 2 they -PRON- PRP 39713 4274 3 came come VBD 39713 4274 4 to to TO 39713 4274 5 be be VB 39713 4274 6 regarded regard VBN 39713 4274 7 as as IN 39713 4274 8 experimental experimental JJ 39713 4274 9 truths truth NNS 39713 4274 10 ; ; : 39713 4274 11 the the DT 39713 4274 12 conception conception NN 39713 4274 13 of of IN 39713 4274 14 central central JJ 39713 4274 15 forces force NNS 39713 4274 16 became become VBD 39713 4274 17 then then RB 39713 4274 18 a a DT 39713 4274 19 useless useless JJ 39713 4274 20 support support NN 39713 4274 21 , , , 39713 4274 22 or or CC 39713 4274 23 rather rather RB 39713 4274 24 an an DT 39713 4274 25 embarrassment embarrassment NN 39713 4274 26 , , , 39713 4274 27 since since IN 39713 4274 28 it -PRON- PRP 39713 4274 29 made make VBD 39713 4274 30 the the DT 39713 4274 31 principles principle NNS 39713 4274 32 partake partake VB 39713 4274 33 of of IN 39713 4274 34 its -PRON- PRP$ 39713 4274 35 hypothetical hypothetical JJ 39713 4274 36 character character NN 39713 4274 37 . . . 39713 4275 1 The the DT 39713 4275 2 frames frame NNS 39713 4275 3 then then RB 39713 4275 4 have have VBP 39713 4275 5 not not RB 39713 4275 6 broken break VBN 39713 4275 7 , , , 39713 4275 8 because because IN 39713 4275 9 they -PRON- PRP 39713 4275 10 are be VBP 39713 4275 11 elastic elastic JJ 39713 4275 12 ; ; : 39713 4275 13 but but CC 39713 4275 14 they -PRON- PRP 39713 4275 15 have have VBP 39713 4275 16 enlarged enlarge VBN 39713 4275 17 ; ; : 39713 4275 18 our -PRON- PRP$ 39713 4275 19 fathers father NNS 39713 4275 20 , , , 39713 4275 21 who who WP 39713 4275 22 established establish VBD 39713 4275 23 them -PRON- PRP 39713 4275 24 , , , 39713 4275 25 did do VBD 39713 4275 26 not not RB 39713 4275 27 labor labor NN 39713 4275 28 in in IN 39713 4275 29 vain vain JJ 39713 4275 30 , , , 39713 4275 31 and and CC 39713 4275 32 we -PRON- PRP 39713 4275 33 recognize recognize VBP 39713 4275 34 in in IN 39713 4275 35 the the DT 39713 4275 36 science science NN 39713 4275 37 of of IN 39713 4275 38 to to IN 39713 4275 39 - - HYPH 39713 4275 40 day day NN 39713 4275 41 the the DT 39713 4275 42 general general JJ 39713 4275 43 traits trait NNS 39713 4275 44 of of IN 39713 4275 45 the the DT 39713 4275 46 sketch sketch NN 39713 4275 47 which which WDT 39713 4275 48 they -PRON- PRP 39713 4275 49 traced trace VBD 39713 4275 50 . . . 39713 4276 1 CHAPTER chapter NN 39713 4276 2 VIII viii VBP 39713 4276 3 THE the DT 39713 4276 4 PRESENT present JJ 39713 4276 5 CRISIS crisi NNS 39713 4276 6 OF of IN 39713 4276 7 MATHEMATICAL MATHEMATICAL NNP 39713 4276 8 PHYSICS PHYSICS NNP 39713 4276 9 _ _ NNP 39713 4276 10 The the DT 39713 4276 11 New New NNP 39713 4276 12 Crisis._--Are Crisis._--Are NNP 39713 4276 13 we -PRON- PRP 39713 4276 14 now now RB 39713 4276 15 about about IN 39713 4276 16 to to TO 39713 4276 17 enter enter VB 39713 4276 18 upon upon IN 39713 4276 19 a a DT 39713 4276 20 third third JJ 39713 4276 21 period period NN 39713 4276 22 ? ? . 39713 4277 1 Are be VBP 39713 4277 2 we -PRON- PRP 39713 4277 3 on on IN 39713 4277 4 the the DT 39713 4277 5 eve eve NN 39713 4277 6 of of IN 39713 4277 7 a a DT 39713 4277 8 second second JJ 39713 4277 9 crisis crisis NN 39713 4277 10 ? ? . 39713 4278 1 These these DT 39713 4278 2 principles principle NNS 39713 4278 3 on on IN 39713 4278 4 which which WDT 39713 4278 5 we -PRON- PRP 39713 4278 6 have have VBP 39713 4278 7 built build VBN 39713 4278 8 all all DT 39713 4278 9 , , , 39713 4278 10 are be VBP 39713 4278 11 they -PRON- PRP 39713 4278 12 about about IN 39713 4278 13 to to TO 39713 4278 14 crumble crumble VB 39713 4278 15 away away RB 39713 4278 16 in in IN 39713 4278 17 their -PRON- PRP$ 39713 4278 18 turn turn NN 39713 4278 19 ? ? . 39713 4279 1 This this DT 39713 4279 2 has have VBZ 39713 4279 3 been be VBN 39713 4279 4 for for IN 39713 4279 5 some some DT 39713 4279 6 time time NN 39713 4279 7 a a DT 39713 4279 8 pertinent pertinent JJ 39713 4279 9 question question NN 39713 4279 10 . . . 39713 4280 1 When when WRB 39713 4280 2 I -PRON- PRP 39713 4280 3 speak speak VBP 39713 4280 4 thus thus RB 39713 4280 5 , , , 39713 4280 6 you -PRON- PRP 39713 4280 7 no no RB 39713 4280 8 doubt doubt RB 39713 4280 9 think think VBP 39713 4280 10 of of IN 39713 4280 11 radium radium NN 39713 4280 12 , , , 39713 4280 13 that that IN 39713 4280 14 grand grand NNP 39713 4280 15 revolutionist revolutionist NN 39713 4280 16 of of IN 39713 4280 17 the the DT 39713 4280 18 present present JJ 39713 4280 19 time time NN 39713 4280 20 , , , 39713 4280 21 and and CC 39713 4280 22 in in IN 39713 4280 23 fact fact NN 39713 4280 24 I -PRON- PRP 39713 4280 25 shall shall MD 39713 4280 26 come come VB 39713 4280 27 back back RB 39713 4280 28 to to IN 39713 4280 29 it -PRON- PRP 39713 4280 30 presently presently RB 39713 4280 31 ; ; : 39713 4280 32 but but CC 39713 4280 33 there there EX 39713 4280 34 is be VBZ 39713 4280 35 something something NN 39713 4280 36 else else RB 39713 4280 37 . . . 39713 4281 1 It -PRON- PRP 39713 4281 2 is be VBZ 39713 4281 3 not not RB 39713 4281 4 alone alone RB 39713 4281 5 the the DT 39713 4281 6 conservation conservation NN 39713 4281 7 of of IN 39713 4281 8 energy energy NN 39713 4281 9 which which WDT 39713 4281 10 is be VBZ 39713 4281 11 in in IN 39713 4281 12 question question NN 39713 4281 13 ; ; : 39713 4281 14 all all PDT 39713 4281 15 the the DT 39713 4281 16 other other JJ 39713 4281 17 principles principle NNS 39713 4281 18 are be VBP 39713 4281 19 equally equally RB 39713 4281 20 in in IN 39713 4281 21 danger danger NN 39713 4281 22 , , , 39713 4281 23 as as IN 39713 4281 24 we -PRON- PRP 39713 4281 25 shall shall MD 39713 4281 26 see see VB 39713 4281 27 in in RP 39713 4281 28 passing pass VBG 39713 4281 29 them -PRON- PRP 39713 4281 30 successively successively RB 39713 4281 31 in in IN 39713 4281 32 review review NN 39713 4281 33 . . . 39713 4282 1 _ _ NNP 39713 4282 2 Carnot Carnot NNP 39713 4282 3 's 's POS 39713 4282 4 Principle._--Let principle._--let CD 39713 4282 5 us us NNP 39713 4282 6 commence commence NN 39713 4282 7 with with IN 39713 4282 8 the the DT 39713 4282 9 principle principle NN 39713 4282 10 of of IN 39713 4282 11 Carnot Carnot NNP 39713 4282 12 . . . 39713 4283 1 This this DT 39713 4283 2 is be VBZ 39713 4283 3 the the DT 39713 4283 4 only only JJ 39713 4283 5 one one CD 39713 4283 6 which which WDT 39713 4283 7 does do VBZ 39713 4283 8 not not RB 39713 4283 9 present present VB 39713 4283 10 itself -PRON- PRP 39713 4283 11 as as IN 39713 4283 12 an an DT 39713 4283 13 immediate immediate JJ 39713 4283 14 consequence consequence NN 39713 4283 15 of of IN 39713 4283 16 the the DT 39713 4283 17 hypothesis hypothesis NN 39713 4283 18 of of IN 39713 4283 19 central central JJ 39713 4283 20 forces force NNS 39713 4283 21 ; ; : 39713 4283 22 more more JJR 39713 4283 23 than than IN 39713 4283 24 that that DT 39713 4283 25 , , , 39713 4283 26 it -PRON- PRP 39713 4283 27 seems seem VBZ 39713 4283 28 , , , 39713 4283 29 if if IN 39713 4283 30 not not RB 39713 4283 31 to to TO 39713 4283 32 directly directly RB 39713 4283 33 contradict contradict VB 39713 4283 34 that that DT 39713 4283 35 hypothesis hypothesis NN 39713 4283 36 , , , 39713 4283 37 at at IN 39713 4283 38 least least JJS 39713 4283 39 not not RB 39713 4283 40 to to TO 39713 4283 41 be be VB 39713 4283 42 reconciled reconcile VBN 39713 4283 43 with with IN 39713 4283 44 it -PRON- PRP 39713 4283 45 without without IN 39713 4283 46 a a DT 39713 4283 47 certain certain JJ 39713 4283 48 effort effort NN 39713 4283 49 . . . 39713 4284 1 If if IN 39713 4284 2 physical physical JJ 39713 4284 3 phenomena phenomenon NNS 39713 4284 4 were be VBD 39713 4284 5 due due JJ 39713 4284 6 exclusively exclusively RB 39713 4284 7 to to IN 39713 4284 8 the the DT 39713 4284 9 movements movement NNS 39713 4284 10 of of IN 39713 4284 11 atoms atom NNS 39713 4284 12 whose whose WP$ 39713 4284 13 mutual mutual JJ 39713 4284 14 attraction attraction NN 39713 4284 15 depended depend VBD 39713 4284 16 only only RB 39713 4284 17 on on IN 39713 4284 18 the the DT 39713 4284 19 distance distance NN 39713 4284 20 , , , 39713 4284 21 it -PRON- PRP 39713 4284 22 seems seem VBZ 39713 4284 23 that that IN 39713 4284 24 all all PDT 39713 4284 25 these these DT 39713 4284 26 phenomena phenomenon NNS 39713 4284 27 should should MD 39713 4284 28 be be VB 39713 4284 29 reversible reversible JJ 39713 4284 30 ; ; : 39713 4284 31 if if IN 39713 4284 32 all all PDT 39713 4284 33 the the DT 39713 4284 34 initial initial JJ 39713 4284 35 velocities velocity NNS 39713 4284 36 were be VBD 39713 4284 37 reversed reverse VBN 39713 4284 38 , , , 39713 4284 39 these these DT 39713 4284 40 atoms atom NNS 39713 4284 41 , , , 39713 4284 42 always always RB 39713 4284 43 subjected subject VBN 39713 4284 44 to to IN 39713 4284 45 the the DT 39713 4284 46 same same JJ 39713 4284 47 forces force NNS 39713 4284 48 , , , 39713 4284 49 ought ought MD 39713 4284 50 to to TO 39713 4284 51 go go VB 39713 4284 52 over over IN 39713 4284 53 their -PRON- PRP$ 39713 4284 54 trajectories trajectory NNS 39713 4284 55 in in IN 39713 4284 56 the the DT 39713 4284 57 contrary contrary JJ 39713 4284 58 sense sense NN 39713 4284 59 , , , 39713 4284 60 just just RB 39713 4284 61 as as IN 39713 4284 62 the the DT 39713 4284 63 earth earth NN 39713 4284 64 would would MD 39713 4284 65 describe describe VB 39713 4284 66 in in IN 39713 4284 67 the the DT 39713 4284 68 retrograde retrograde NN 39713 4284 69 sense sense NN 39713 4284 70 this this DT 39713 4284 71 same same JJ 39713 4284 72 elliptic elliptic JJ 39713 4284 73 orbit orbit NN 39713 4284 74 which which WDT 39713 4284 75 it -PRON- PRP 39713 4284 76 describes describe VBZ 39713 4284 77 in in IN 39713 4284 78 the the DT 39713 4284 79 direct direct JJ 39713 4284 80 sense sense NN 39713 4284 81 , , , 39713 4284 82 if if IN 39713 4284 83 the the DT 39713 4284 84 initial initial JJ 39713 4284 85 conditions condition NNS 39713 4284 86 of of IN 39713 4284 87 its -PRON- PRP$ 39713 4284 88 motion motion NN 39713 4284 89 had have VBD 39713 4284 90 been be VBN 39713 4284 91 reversed reverse VBN 39713 4284 92 . . . 39713 4285 1 On on IN 39713 4285 2 this this DT 39713 4285 3 account account NN 39713 4285 4 , , , 39713 4285 5 if if IN 39713 4285 6 a a DT 39713 4285 7 physical physical JJ 39713 4285 8 phenomenon phenomenon NN 39713 4285 9 is be VBZ 39713 4285 10 possible possible JJ 39713 4285 11 , , , 39713 4285 12 the the DT 39713 4285 13 inverse inverse NN 39713 4285 14 phenomenon phenomenon NN 39713 4285 15 should should MD 39713 4285 16 be be VB 39713 4285 17 equally equally RB 39713 4285 18 so so RB 39713 4285 19 , , , 39713 4285 20 and and CC 39713 4285 21 one one PRP 39713 4285 22 should should MD 39713 4285 23 be be VB 39713 4285 24 able able JJ 39713 4285 25 to to TO 39713 4285 26 reascend reascend VB 39713 4285 27 the the DT 39713 4285 28 course course NN 39713 4285 29 of of IN 39713 4285 30 time time NN 39713 4285 31 . . . 39713 4286 1 Now now RB 39713 4286 2 , , , 39713 4286 3 it -PRON- PRP 39713 4286 4 is be VBZ 39713 4286 5 not not RB 39713 4286 6 so so RB 39713 4286 7 in in IN 39713 4286 8 nature nature NN 39713 4286 9 , , , 39713 4286 10 and and CC 39713 4286 11 this this DT 39713 4286 12 is be VBZ 39713 4286 13 precisely precisely RB 39713 4286 14 what what WP 39713 4286 15 the the DT 39713 4286 16 principle principle NN 39713 4286 17 of of IN 39713 4286 18 Carnot Carnot NNP 39713 4286 19 teaches teach VBZ 39713 4286 20 us -PRON- PRP 39713 4286 21 ; ; : 39713 4286 22 heat heat NN 39713 4286 23 can can MD 39713 4286 24 pass pass VB 39713 4286 25 from from IN 39713 4286 26 the the DT 39713 4286 27 warm warm JJ 39713 4286 28 body body NN 39713 4286 29 to to IN 39713 4286 30 the the DT 39713 4286 31 cold cold JJ 39713 4286 32 body body NN 39713 4286 33 ; ; : 39713 4286 34 it -PRON- PRP 39713 4286 35 is be VBZ 39713 4286 36 impossible impossible JJ 39713 4286 37 afterward afterward RB 39713 4286 38 to to TO 39713 4286 39 make make VB 39713 4286 40 it -PRON- PRP 39713 4286 41 take take VB 39713 4286 42 the the DT 39713 4286 43 inverse inverse NN 39713 4286 44 route route NN 39713 4286 45 and and CC 39713 4286 46 to to TO 39713 4286 47 reestablish reestablish VB 39713 4286 48 differences difference NNS 39713 4286 49 of of IN 39713 4286 50 temperature temperature NN 39713 4286 51 which which WDT 39713 4286 52 have have VBP 39713 4286 53 been be VBN 39713 4286 54 effaced efface VBN 39713 4286 55 . . . 39713 4287 1 Motion motion NN 39713 4287 2 can can MD 39713 4287 3 be be VB 39713 4287 4 wholly wholly RB 39713 4287 5 dissipated dissipate VBN 39713 4287 6 and and CC 39713 4287 7 transformed transform VBN 39713 4287 8 into into IN 39713 4287 9 heat heat NN 39713 4287 10 by by IN 39713 4287 11 friction friction NN 39713 4287 12 ; ; : 39713 4287 13 the the DT 39713 4287 14 contrary contrary JJ 39713 4287 15 transformation transformation NN 39713 4287 16 can can MD 39713 4287 17 never never RB 39713 4287 18 be be VB 39713 4287 19 made make VBN 39713 4287 20 except except IN 39713 4287 21 partially partially RB 39713 4287 22 . . . 39713 4288 1 We -PRON- PRP 39713 4288 2 have have VBP 39713 4288 3 striven strive VBN 39713 4288 4 to to TO 39713 4288 5 reconcile reconcile VB 39713 4288 6 this this DT 39713 4288 7 apparent apparent JJ 39713 4288 8 contradiction contradiction NN 39713 4288 9 . . . 39713 4289 1 If if IN 39713 4289 2 the the DT 39713 4289 3 world world NN 39713 4289 4 tends tend VBZ 39713 4289 5 toward toward IN 39713 4289 6 uniformity uniformity NN 39713 4289 7 , , , 39713 4289 8 this this DT 39713 4289 9 is be VBZ 39713 4289 10 not not RB 39713 4289 11 because because IN 39713 4289 12 its -PRON- PRP$ 39713 4289 13 ultimate ultimate JJ 39713 4289 14 parts part NNS 39713 4289 15 , , , 39713 4289 16 at at IN 39713 4289 17 first first RB 39713 4289 18 unlike unlike RB 39713 4289 19 , , , 39713 4289 20 tend tend VBP 39713 4289 21 to to TO 39713 4289 22 become become VB 39713 4289 23 less less RBR 39713 4289 24 and and CC 39713 4289 25 less less RBR 39713 4289 26 different different JJ 39713 4289 27 ; ; : 39713 4289 28 it -PRON- PRP 39713 4289 29 is be VBZ 39713 4289 30 because because IN 39713 4289 31 , , , 39713 4289 32 shifting shift VBG 39713 4289 33 at at IN 39713 4289 34 random random JJ 39713 4289 35 , , , 39713 4289 36 they -PRON- PRP 39713 4289 37 end end VBP 39713 4289 38 by by IN 39713 4289 39 blending blending NN 39713 4289 40 . . . 39713 4290 1 For for IN 39713 4290 2 an an DT 39713 4290 3 eye eye NN 39713 4290 4 which which WDT 39713 4290 5 should should MD 39713 4290 6 distinguish distinguish VB 39713 4290 7 all all PDT 39713 4290 8 the the DT 39713 4290 9 elements element NNS 39713 4290 10 , , , 39713 4290 11 the the DT 39713 4290 12 variety variety NN 39713 4290 13 would would MD 39713 4290 14 remain remain VB 39713 4290 15 always always RB 39713 4290 16 as as RB 39713 4290 17 great great JJ 39713 4290 18 ; ; : 39713 4290 19 each each DT 39713 4290 20 grain grain NN 39713 4290 21 of of IN 39713 4290 22 this this DT 39713 4290 23 dust dust NN 39713 4290 24 preserves preserve VBZ 39713 4290 25 its -PRON- PRP$ 39713 4290 26 originality originality NN 39713 4290 27 and and CC 39713 4290 28 does do VBZ 39713 4290 29 not not RB 39713 4290 30 model model VB 39713 4290 31 itself -PRON- PRP 39713 4290 32 on on IN 39713 4290 33 its -PRON- PRP$ 39713 4290 34 neighbors neighbor NNS 39713 4290 35 ; ; : 39713 4290 36 but but CC 39713 4290 37 as as IN 39713 4290 38 the the DT 39713 4290 39 blend blend NN 39713 4290 40 becomes become VBZ 39713 4290 41 more more JJR 39713 4290 42 and and CC 39713 4290 43 more more RBR 39713 4290 44 intimate intimate JJ 39713 4290 45 , , , 39713 4290 46 our -PRON- PRP$ 39713 4290 47 gross gross JJ 39713 4290 48 senses sense NNS 39713 4290 49 perceive perceive VBP 39713 4290 50 only only RB 39713 4290 51 the the DT 39713 4290 52 uniformity uniformity NN 39713 4290 53 . . . 39713 4291 1 This this DT 39713 4291 2 is be VBZ 39713 4291 3 why why WRB 39713 4291 4 , , , 39713 4291 5 for for IN 39713 4291 6 example example NN 39713 4291 7 , , , 39713 4291 8 temperatures temperature NNS 39713 4291 9 tend tend VBP 39713 4291 10 to to IN 39713 4291 11 a a DT 39713 4291 12 level level NN 39713 4291 13 , , , 39713 4291 14 without without IN 39713 4291 15 the the DT 39713 4291 16 possibility possibility NN 39713 4291 17 of of IN 39713 4291 18 going go VBG 39713 4291 19 backwards backwards RB 39713 4291 20 . . . 39713 4292 1 A a DT 39713 4292 2 drop drop NN 39713 4292 3 of of IN 39713 4292 4 wine wine NN 39713 4292 5 falls fall VBZ 39713 4292 6 into into IN 39713 4292 7 a a DT 39713 4292 8 glass glass NN 39713 4292 9 of of IN 39713 4292 10 water water NN 39713 4292 11 ; ; : 39713 4292 12 whatever whatever WDT 39713 4292 13 may may MD 39713 4292 14 be be VB 39713 4292 15 the the DT 39713 4292 16 law law NN 39713 4292 17 of of IN 39713 4292 18 the the DT 39713 4292 19 internal internal JJ 39713 4292 20 motion motion NN 39713 4292 21 of of IN 39713 4292 22 the the DT 39713 4292 23 liquid liquid NN 39713 4292 24 , , , 39713 4292 25 we -PRON- PRP 39713 4292 26 shall shall MD 39713 4292 27 soon soon RB 39713 4292 28 see see VB 39713 4292 29 it -PRON- PRP 39713 4292 30 colored color VBD 39713 4292 31 of of IN 39713 4292 32 a a DT 39713 4292 33 uniform uniform JJ 39713 4292 34 rosy rosy JJ 39713 4292 35 tint tint NN 39713 4292 36 , , , 39713 4292 37 and and CC 39713 4292 38 however however RB 39713 4292 39 much much JJ 39713 4292 40 from from IN 39713 4292 41 this this DT 39713 4292 42 moment moment NN 39713 4292 43 one one PRP 39713 4292 44 may may MD 39713 4292 45 shake shake VB 39713 4292 46 it -PRON- PRP 39713 4292 47 afterwards afterwards RB 39713 4292 48 , , , 39713 4292 49 the the DT 39713 4292 50 wine wine NN 39713 4292 51 and and CC 39713 4292 52 the the DT 39713 4292 53 water water NN 39713 4292 54 do do VBP 39713 4292 55 not not RB 39713 4292 56 seem seem VB 39713 4292 57 capable capable JJ 39713 4292 58 of of IN 39713 4292 59 again again RB 39713 4292 60 separating separate VBG 39713 4292 61 . . . 39713 4293 1 Here here RB 39713 4293 2 we -PRON- PRP 39713 4293 3 have have VBP 39713 4293 4 the the DT 39713 4293 5 type type NN 39713 4293 6 of of IN 39713 4293 7 the the DT 39713 4293 8 irreversible irreversible JJ 39713 4293 9 physical physical JJ 39713 4293 10 phenomenon phenomenon NN 39713 4293 11 : : : 39713 4293 12 to to TO 39713 4293 13 hide hide VB 39713 4293 14 a a DT 39713 4293 15 grain grain NN 39713 4293 16 of of IN 39713 4293 17 barley barley NN 39713 4293 18 in in IN 39713 4293 19 a a DT 39713 4293 20 heap heap NN 39713 4293 21 of of IN 39713 4293 22 wheat wheat NN 39713 4293 23 , , , 39713 4293 24 this this DT 39713 4293 25 is be VBZ 39713 4293 26 easy easy JJ 39713 4293 27 ; ; : 39713 4293 28 afterwards afterwards RB 39713 4293 29 to to TO 39713 4293 30 find find VB 39713 4293 31 it -PRON- PRP 39713 4293 32 again again RB 39713 4293 33 and and CC 39713 4293 34 get get VB 39713 4293 35 it -PRON- PRP 39713 4293 36 out out RP 39713 4293 37 , , , 39713 4293 38 this this DT 39713 4293 39 is be VBZ 39713 4293 40 practically practically RB 39713 4293 41 impossible impossible JJ 39713 4293 42 . . . 39713 4294 1 All all PDT 39713 4294 2 this this DT 39713 4294 3 Maxwell Maxwell NNP 39713 4294 4 and and CC 39713 4294 5 Boltzmann Boltzmann NNP 39713 4294 6 have have VBP 39713 4294 7 explained explain VBN 39713 4294 8 ; ; : 39713 4294 9 but but CC 39713 4294 10 the the DT 39713 4294 11 one one NN 39713 4294 12 who who WP 39713 4294 13 has have VBZ 39713 4294 14 seen see VBN 39713 4294 15 it -PRON- PRP 39713 4294 16 most most RBS 39713 4294 17 clearly clearly RB 39713 4294 18 , , , 39713 4294 19 in in IN 39713 4294 20 a a DT 39713 4294 21 book book NN 39713 4294 22 too too RB 39713 4294 23 little little JJ 39713 4294 24 read read JJ 39713 4294 25 because because IN 39713 4294 26 it -PRON- PRP 39713 4294 27 is be VBZ 39713 4294 28 a a DT 39713 4294 29 little little RB 39713 4294 30 difficult difficult JJ 39713 4294 31 to to TO 39713 4294 32 read read VB 39713 4294 33 , , , 39713 4294 34 is be VBZ 39713 4294 35 Gibbs Gibbs NNP 39713 4294 36 , , , 39713 4294 37 in in IN 39713 4294 38 his -PRON- PRP$ 39713 4294 39 ` ` '' 39713 4294 40 Elementary Elementary NNP 39713 4294 41 Principles Principles NNPS 39713 4294 42 of of IN 39713 4294 43 Statistical Statistical NNP 39713 4294 44 Mechanics Mechanics NNPS 39713 4294 45 . . . 39713 4294 46 ' ' '' 39713 4295 1 For for IN 39713 4295 2 those those DT 39713 4295 3 who who WP 39713 4295 4 take take VBP 39713 4295 5 this this DT 39713 4295 6 point point NN 39713 4295 7 of of IN 39713 4295 8 view view NN 39713 4295 9 , , , 39713 4295 10 Carnot Carnot NNP 39713 4295 11 's 's POS 39713 4295 12 principle principle NN 39713 4295 13 is be VBZ 39713 4295 14 only only RB 39713 4295 15 an an DT 39713 4295 16 imperfect imperfect JJ 39713 4295 17 principle principle NN 39713 4295 18 , , , 39713 4295 19 a a DT 39713 4295 20 sort sort NN 39713 4295 21 of of IN 39713 4295 22 concession concession NN 39713 4295 23 to to IN 39713 4295 24 the the DT 39713 4295 25 infirmity infirmity NN 39713 4295 26 of of IN 39713 4295 27 our -PRON- PRP$ 39713 4295 28 senses sense NNS 39713 4295 29 ; ; : 39713 4295 30 it -PRON- PRP 39713 4295 31 is be VBZ 39713 4295 32 because because IN 39713 4295 33 our -PRON- PRP$ 39713 4295 34 eyes eye NNS 39713 4295 35 are be VBP 39713 4295 36 too too RB 39713 4295 37 gross gross JJ 39713 4295 38 that that IN 39713 4295 39 we -PRON- PRP 39713 4295 40 do do VBP 39713 4295 41 not not RB 39713 4295 42 distinguish distinguish VB 39713 4295 43 the the DT 39713 4295 44 elements element NNS 39713 4295 45 of of IN 39713 4295 46 the the DT 39713 4295 47 blend blend NN 39713 4295 48 ; ; : 39713 4295 49 it -PRON- PRP 39713 4295 50 is be VBZ 39713 4295 51 because because IN 39713 4295 52 our -PRON- PRP$ 39713 4295 53 hands hand NNS 39713 4295 54 are be VBP 39713 4295 55 too too RB 39713 4295 56 gross gross JJ 39713 4295 57 that that IN 39713 4295 58 we -PRON- PRP 39713 4295 59 can can MD 39713 4295 60 not not RB 39713 4295 61 force force VB 39713 4295 62 them -PRON- PRP 39713 4295 63 to to TO 39713 4295 64 separate separate VB 39713 4295 65 ; ; : 39713 4295 66 the the DT 39713 4295 67 imaginary imaginary JJ 39713 4295 68 demon demon NN 39713 4295 69 of of IN 39713 4295 70 Maxwell Maxwell NNP 39713 4295 71 , , , 39713 4295 72 who who WP 39713 4295 73 is be VBZ 39713 4295 74 able able JJ 39713 4295 75 to to TO 39713 4295 76 sort sort VB 39713 4295 77 the the DT 39713 4295 78 molecules molecule NNS 39713 4295 79 one one CD 39713 4295 80 by by IN 39713 4295 81 one one CD 39713 4295 82 , , , 39713 4295 83 could could MD 39713 4295 84 well well RB 39713 4295 85 constrain constrain VB 39713 4295 86 the the DT 39713 4295 87 world world NN 39713 4295 88 to to TO 39713 4295 89 return return VB 39713 4295 90 backward backward RB 39713 4295 91 . . . 39713 4296 1 Can Can MD 39713 4296 2 it -PRON- PRP 39713 4296 3 return return VB 39713 4296 4 of of IN 39713 4296 5 itself -PRON- PRP 39713 4296 6 ? ? . 39713 4297 1 That that DT 39713 4297 2 is be VBZ 39713 4297 3 not not RB 39713 4297 4 impossible impossible JJ 39713 4297 5 ; ; : 39713 4297 6 that that DT 39713 4297 7 is be VBZ 39713 4297 8 only only RB 39713 4297 9 infinitely infinitely RB 39713 4297 10 improbable improbable JJ 39713 4297 11 . . . 39713 4298 1 The the DT 39713 4298 2 chances chance NNS 39713 4298 3 are be VBP 39713 4298 4 that that IN 39713 4298 5 we -PRON- PRP 39713 4298 6 should should MD 39713 4298 7 wait wait VB 39713 4298 8 a a DT 39713 4298 9 long long JJ 39713 4298 10 time time NN 39713 4298 11 for for IN 39713 4298 12 the the DT 39713 4298 13 concourse concourse NN 39713 4298 14 of of IN 39713 4298 15 circumstances circumstance NNS 39713 4298 16 which which WDT 39713 4298 17 would would MD 39713 4298 18 permit permit VB 39713 4298 19 a a DT 39713 4298 20 retrogradation retrogradation NN 39713 4298 21 ; ; : 39713 4298 22 but but CC 39713 4298 23 sooner soon RBR 39713 4298 24 or or CC 39713 4298 25 later later RB 39713 4298 26 they -PRON- PRP 39713 4298 27 will will MD 39713 4298 28 occur occur VB 39713 4298 29 , , , 39713 4298 30 after after IN 39713 4298 31 years year NNS 39713 4298 32 whose whose WP$ 39713 4298 33 number number NN 39713 4298 34 it -PRON- PRP 39713 4298 35 would would MD 39713 4298 36 take take VB 39713 4298 37 millions million NNS 39713 4298 38 of of IN 39713 4298 39 figures figure NNS 39713 4298 40 to to TO 39713 4298 41 write write VB 39713 4298 42 . . . 39713 4299 1 These these DT 39713 4299 2 reservations reservation NNS 39713 4299 3 , , , 39713 4299 4 however however RB 39713 4299 5 , , , 39713 4299 6 all all DT 39713 4299 7 remained remain VBD 39713 4299 8 theoretic theoretic JJ 39713 4299 9 ; ; : 39713 4299 10 they -PRON- PRP 39713 4299 11 were be VBD 39713 4299 12 not not RB 39713 4299 13 very very RB 39713 4299 14 disquieting disquieting JJ 39713 4299 15 , , , 39713 4299 16 and and CC 39713 4299 17 Carnot Carnot NNP 39713 4299 18 's 's POS 39713 4299 19 principle principle NN 39713 4299 20 retained retain VBD 39713 4299 21 all all PDT 39713 4299 22 its -PRON- PRP$ 39713 4299 23 practical practical JJ 39713 4299 24 value value NN 39713 4299 25 . . . 39713 4300 1 But but CC 39713 4300 2 here here RB 39713 4300 3 the the DT 39713 4300 4 scene scene NN 39713 4300 5 changes change VBZ 39713 4300 6 . . . 39713 4301 1 The the DT 39713 4301 2 biologist biologist NN 39713 4301 3 , , , 39713 4301 4 armed arm VBN 39713 4301 5 with with IN 39713 4301 6 his -PRON- PRP$ 39713 4301 7 microscope microscope NN 39713 4301 8 , , , 39713 4301 9 long long RB 39713 4301 10 ago ago RB 39713 4301 11 noticed notice VBN 39713 4301 12 in in IN 39713 4301 13 his -PRON- PRP$ 39713 4301 14 preparations preparation NNS 39713 4301 15 irregular irregular JJ 39713 4301 16 movements movement NNS 39713 4301 17 of of IN 39713 4301 18 little little JJ 39713 4301 19 particles particle NNS 39713 4301 20 in in IN 39713 4301 21 suspension suspension NN 39713 4301 22 ; ; : 39713 4301 23 this this DT 39713 4301 24 is be VBZ 39713 4301 25 the the DT 39713 4301 26 Brownian brownian JJ 39713 4301 27 movement movement NN 39713 4301 28 . . . 39713 4302 1 He -PRON- PRP 39713 4302 2 first first RB 39713 4302 3 thought think VBD 39713 4302 4 this this DT 39713 4302 5 was be VBD 39713 4302 6 a a DT 39713 4302 7 vital vital JJ 39713 4302 8 phenomenon phenomenon NN 39713 4302 9 , , , 39713 4302 10 but but CC 39713 4302 11 soon soon RB 39713 4302 12 he -PRON- PRP 39713 4302 13 saw see VBD 39713 4302 14 that that IN 39713 4302 15 the the DT 39713 4302 16 inanimate inanimate JJ 39713 4302 17 bodies body NNS 39713 4302 18 danced dance VBD 39713 4302 19 with with IN 39713 4302 20 no no DT 39713 4302 21 less less RBR 39713 4302 22 ardor ardor JJ 39713 4302 23 than than IN 39713 4302 24 the the DT 39713 4302 25 others other NNS 39713 4302 26 ; ; : 39713 4302 27 then then RB 39713 4302 28 he -PRON- PRP 39713 4302 29 turned turn VBD 39713 4302 30 the the DT 39713 4302 31 matter matter NN 39713 4302 32 over over RP 39713 4302 33 to to IN 39713 4302 34 the the DT 39713 4302 35 physicists physicist NNS 39713 4302 36 . . . 39713 4303 1 Unhappily unhappily RB 39713 4303 2 , , , 39713 4303 3 the the DT 39713 4303 4 physicists physicist NNS 39713 4303 5 remained remain VBD 39713 4303 6 long long RB 39713 4303 7 uninterested uninterested JJ 39713 4303 8 in in IN 39713 4303 9 this this DT 39713 4303 10 question question NN 39713 4303 11 ; ; : 39713 4303 12 one one PRP 39713 4303 13 concentrates concentrate VBZ 39713 4303 14 the the DT 39713 4303 15 light light NN 39713 4303 16 to to TO 39713 4303 17 illuminate illuminate VB 39713 4303 18 the the DT 39713 4303 19 microscopic microscopic JJ 39713 4303 20 preparation preparation NN 39713 4303 21 , , , 39713 4303 22 thought think VBD 39713 4303 23 they -PRON- PRP 39713 4303 24 ; ; : 39713 4303 25 with with IN 39713 4303 26 light light NN 39713 4303 27 goes go VBZ 39713 4303 28 heat heat NN 39713 4303 29 ; ; : 39713 4303 30 thence thence NN 39713 4303 31 inequalities inequality NNS 39713 4303 32 of of IN 39713 4303 33 temperature temperature NN 39713 4303 34 and and CC 39713 4303 35 in in IN 39713 4303 36 the the DT 39713 4303 37 liquid liquid JJ 39713 4303 38 interior interior JJ 39713 4303 39 currents current NNS 39713 4303 40 which which WDT 39713 4303 41 produce produce VBP 39713 4303 42 the the DT 39713 4303 43 movements movement NNS 39713 4303 44 referred refer VBN 39713 4303 45 to to IN 39713 4303 46 . . . 39713 4304 1 It -PRON- PRP 39713 4304 2 occurred occur VBD 39713 4304 3 to to IN 39713 4304 4 M. M. NNP 39713 4304 5 Gouy Gouy NNP 39713 4304 6 to to TO 39713 4304 7 look look VB 39713 4304 8 more more RBR 39713 4304 9 closely closely RB 39713 4304 10 , , , 39713 4304 11 and and CC 39713 4304 12 he -PRON- PRP 39713 4304 13 saw see VBD 39713 4304 14 , , , 39713 4304 15 or or CC 39713 4304 16 thought think VBD 39713 4304 17 he -PRON- PRP 39713 4304 18 saw see VBD 39713 4304 19 , , , 39713 4304 20 that that IN 39713 4304 21 this this DT 39713 4304 22 explanation explanation NN 39713 4304 23 is be VBZ 39713 4304 24 untenable untenable JJ 39713 4304 25 , , , 39713 4304 26 that that IN 39713 4304 27 the the DT 39713 4304 28 movements movement NNS 39713 4304 29 become become VBP 39713 4304 30 brisker brisker NN 39713 4304 31 as as IN 39713 4304 32 the the DT 39713 4304 33 particles particle NNS 39713 4304 34 are be VBP 39713 4304 35 smaller small JJR 39713 4304 36 , , , 39713 4304 37 but but CC 39713 4304 38 that that IN 39713 4304 39 they -PRON- PRP 39713 4304 40 are be VBP 39713 4304 41 not not RB 39713 4304 42 influenced influence VBN 39713 4304 43 by by IN 39713 4304 44 the the DT 39713 4304 45 mode mode NN 39713 4304 46 of of IN 39713 4304 47 illumination illumination NN 39713 4304 48 . . . 39713 4305 1 If if IN 39713 4305 2 then then RB 39713 4305 3 these these DT 39713 4305 4 movements movement NNS 39713 4305 5 never never RB 39713 4305 6 cease cease VBP 39713 4305 7 , , , 39713 4305 8 or or CC 39713 4305 9 rather rather RB 39713 4305 10 are be VBP 39713 4305 11 reborn reborn VBN 39713 4305 12 without without IN 39713 4305 13 cease cease NN 39713 4305 14 , , , 39713 4305 15 without without IN 39713 4305 16 borrowing borrow VBG 39713 4305 17 anything anything NN 39713 4305 18 from from IN 39713 4305 19 an an DT 39713 4305 20 external external JJ 39713 4305 21 source source NN 39713 4305 22 of of IN 39713 4305 23 energy energy NN 39713 4305 24 , , , 39713 4305 25 what what WP 39713 4305 26 ought ought MD 39713 4305 27 we -PRON- PRP 39713 4305 28 to to TO 39713 4305 29 believe believe VB 39713 4305 30 ? ? . 39713 4306 1 To to TO 39713 4306 2 be be VB 39713 4306 3 sure sure JJ 39713 4306 4 , , , 39713 4306 5 we -PRON- PRP 39713 4306 6 should should MD 39713 4306 7 not not RB 39713 4306 8 on on IN 39713 4306 9 this this DT 39713 4306 10 account account NN 39713 4306 11 renounce renounce NN 39713 4306 12 our -PRON- PRP$ 39713 4306 13 belief belief NN 39713 4306 14 in in IN 39713 4306 15 the the DT 39713 4306 16 conservation conservation NN 39713 4306 17 of of IN 39713 4306 18 energy energy NN 39713 4306 19 , , , 39713 4306 20 but but CC 39713 4306 21 we -PRON- PRP 39713 4306 22 see see VBP 39713 4306 23 under under IN 39713 4306 24 our -PRON- PRP$ 39713 4306 25 eyes eye NNS 39713 4306 26 now now RB 39713 4306 27 motion motion NN 39713 4306 28 transformed transform VBN 39713 4306 29 into into IN 39713 4306 30 heat heat NN 39713 4306 31 by by IN 39713 4306 32 friction friction NN 39713 4306 33 , , , 39713 4306 34 now now RB 39713 4306 35 inversely inversely RB 39713 4306 36 heat heat NN 39713 4306 37 changed change VBD 39713 4306 38 into into IN 39713 4306 39 motion motion NN 39713 4306 40 , , , 39713 4306 41 and and CC 39713 4306 42 that that IN 39713 4306 43 without without IN 39713 4306 44 loss loss NN 39713 4306 45 since since IN 39713 4306 46 the the DT 39713 4306 47 movement movement NN 39713 4306 48 lasts last VBZ 39713 4306 49 forever forever RB 39713 4306 50 . . . 39713 4307 1 This this DT 39713 4307 2 is be VBZ 39713 4307 3 the the DT 39713 4307 4 contrary contrary NN 39713 4307 5 of of IN 39713 4307 6 Carnot Carnot NNP 39713 4307 7 's 's POS 39713 4307 8 principle principle NN 39713 4307 9 . . . 39713 4308 1 If if IN 39713 4308 2 this this DT 39713 4308 3 be be VB 39713 4308 4 so so RB 39713 4308 5 , , , 39713 4308 6 to to TO 39713 4308 7 see see VB 39713 4308 8 the the DT 39713 4308 9 world world NN 39713 4308 10 return return VB 39713 4308 11 backward backward RB 39713 4308 12 , , , 39713 4308 13 we -PRON- PRP 39713 4308 14 no no RB 39713 4308 15 longer longer RB 39713 4308 16 have have VBP 39713 4308 17 need need NN 39713 4308 18 of of IN 39713 4308 19 the the DT 39713 4308 20 infinitely infinitely RB 39713 4308 21 keen keen JJ 39713 4308 22 eye eye NN 39713 4308 23 of of IN 39713 4308 24 Maxwell Maxwell NNP 39713 4308 25 's 's POS 39713 4308 26 demon demon NN 39713 4308 27 ; ; : 39713 4308 28 our -PRON- PRP$ 39713 4308 29 microscope microscope NN 39713 4308 30 suffices suffice VBZ 39713 4308 31 . . . 39713 4309 1 Bodies body NNS 39713 4309 2 too too RB 39713 4309 3 large large JJ 39713 4309 4 , , , 39713 4309 5 those those DT 39713 4309 6 , , , 39713 4309 7 for for IN 39713 4309 8 example example NN 39713 4309 9 , , , 39713 4309 10 which which WDT 39713 4309 11 are be VBP 39713 4309 12 a a DT 39713 4309 13 tenth tenth NN 39713 4309 14 of of IN 39713 4309 15 a a DT 39713 4309 16 millimeter millimeter NN 39713 4309 17 , , , 39713 4309 18 are be VBP 39713 4309 19 hit hit VBN 39713 4309 20 from from IN 39713 4309 21 all all DT 39713 4309 22 sides side NNS 39713 4309 23 by by IN 39713 4309 24 moving move VBG 39713 4309 25 atoms atom NNS 39713 4309 26 , , , 39713 4309 27 but but CC 39713 4309 28 they -PRON- PRP 39713 4309 29 do do VBP 39713 4309 30 not not RB 39713 4309 31 budge budge VB 39713 4309 32 , , , 39713 4309 33 because because IN 39713 4309 34 these these DT 39713 4309 35 shocks shock NNS 39713 4309 36 are be VBP 39713 4309 37 very very RB 39713 4309 38 numerous numerous JJ 39713 4309 39 and and CC 39713 4309 40 the the DT 39713 4309 41 law law NN 39713 4309 42 of of IN 39713 4309 43 chance chance NN 39713 4309 44 makes make VBZ 39713 4309 45 them -PRON- PRP 39713 4309 46 compensate compensate VB 39713 4309 47 each each DT 39713 4309 48 other other JJ 39713 4309 49 ; ; : 39713 4309 50 but but CC 39713 4309 51 the the DT 39713 4309 52 smaller small JJR 39713 4309 53 particles particle NNS 39713 4309 54 receive receive VBP 39713 4309 55 too too RB 39713 4309 56 few few JJ 39713 4309 57 shocks shock NNS 39713 4309 58 for for IN 39713 4309 59 this this DT 39713 4309 60 compensation compensation NN 39713 4309 61 to to TO 39713 4309 62 take take VB 39713 4309 63 place place NN 39713 4309 64 with with IN 39713 4309 65 certainty certainty NN 39713 4309 66 and and CC 39713 4309 67 are be VBP 39713 4309 68 incessantly incessantly RB 39713 4309 69 knocked knock VBN 39713 4309 70 about about IN 39713 4309 71 . . . 39713 4310 1 And and CC 39713 4310 2 behold behold VB 39713 4310 3 already already RB 39713 4310 4 one one CD 39713 4310 5 of of IN 39713 4310 6 our -PRON- PRP$ 39713 4310 7 principles principle NNS 39713 4310 8 in in IN 39713 4310 9 peril peril NNP 39713 4310 10 . . . 39713 4311 1 _ _ NNP 39713 4311 2 The the DT 39713 4311 3 Principle Principle NNP 39713 4311 4 of of IN 39713 4311 5 Relativity._--Let relativity._--let WP 39713 4311 6 us us NNP 39713 4311 7 pass pass VBP 39713 4311 8 to to IN 39713 4311 9 the the DT 39713 4311 10 principle principle NN 39713 4311 11 of of IN 39713 4311 12 relativity relativity NN 39713 4311 13 ; ; : 39713 4311 14 this this DT 39713 4311 15 not not RB 39713 4311 16 only only RB 39713 4311 17 is be VBZ 39713 4311 18 confirmed confirm VBN 39713 4311 19 by by IN 39713 4311 20 daily daily JJ 39713 4311 21 experience experience NN 39713 4311 22 , , , 39713 4311 23 not not RB 39713 4311 24 only only RB 39713 4311 25 is be VBZ 39713 4311 26 it -PRON- PRP 39713 4311 27 a a DT 39713 4311 28 necessary necessary JJ 39713 4311 29 consequence consequence NN 39713 4311 30 of of IN 39713 4311 31 the the DT 39713 4311 32 hypothesis hypothesis NN 39713 4311 33 of of IN 39713 4311 34 central central JJ 39713 4311 35 forces force NNS 39713 4311 36 , , , 39713 4311 37 but but CC 39713 4311 38 it -PRON- PRP 39713 4311 39 is be VBZ 39713 4311 40 irresistibly irresistibly RB 39713 4311 41 imposed impose VBN 39713 4311 42 upon upon IN 39713 4311 43 our -PRON- PRP$ 39713 4311 44 good good JJ 39713 4311 45 sense sense NN 39713 4311 46 , , , 39713 4311 47 and and CC 39713 4311 48 yet yet RB 39713 4311 49 it -PRON- PRP 39713 4311 50 also also RB 39713 4311 51 is be VBZ 39713 4311 52 assailed assail VBN 39713 4311 53 . . . 39713 4312 1 Consider consider VB 39713 4312 2 two two CD 39713 4312 3 electrified electrified JJ 39713 4312 4 bodies body NNS 39713 4312 5 ; ; : 39713 4312 6 though though IN 39713 4312 7 they -PRON- PRP 39713 4312 8 seem seem VBP 39713 4312 9 to to IN 39713 4312 10 us -PRON- PRP 39713 4312 11 at at IN 39713 4312 12 rest rest NN 39713 4312 13 , , , 39713 4312 14 they -PRON- PRP 39713 4312 15 are be VBP 39713 4312 16 both both DT 39713 4312 17 carried carry VBN 39713 4312 18 along along RP 39713 4312 19 by by IN 39713 4312 20 the the DT 39713 4312 21 motion motion NN 39713 4312 22 of of IN 39713 4312 23 the the DT 39713 4312 24 earth earth NN 39713 4312 25 ; ; : 39713 4312 26 an an DT 39713 4312 27 electric electric JJ 39713 4312 28 charge charge NN 39713 4312 29 in in IN 39713 4312 30 motion motion NN 39713 4312 31 , , , 39713 4312 32 Rowland Rowland NNP 39713 4312 33 has have VBZ 39713 4312 34 taught teach VBN 39713 4312 35 us -PRON- PRP 39713 4312 36 , , , 39713 4312 37 is be VBZ 39713 4312 38 equivalent equivalent JJ 39713 4312 39 to to IN 39713 4312 40 a a DT 39713 4312 41 current current NN 39713 4312 42 ; ; : 39713 4312 43 these these DT 39713 4312 44 two two CD 39713 4312 45 charged charge VBN 39713 4312 46 bodies body NNS 39713 4312 47 are be VBP 39713 4312 48 , , , 39713 4312 49 therefore therefore RB 39713 4312 50 , , , 39713 4312 51 equivalent equivalent JJ 39713 4312 52 to to IN 39713 4312 53 two two CD 39713 4312 54 parallel parallel JJ 39713 4312 55 currents current NNS 39713 4312 56 of of IN 39713 4312 57 the the DT 39713 4312 58 same same JJ 39713 4312 59 sense sense NN 39713 4312 60 and and CC 39713 4312 61 these these DT 39713 4312 62 two two CD 39713 4312 63 currents current NNS 39713 4312 64 should should MD 39713 4312 65 attract attract VB 39713 4312 66 each each DT 39713 4312 67 other other JJ 39713 4312 68 . . . 39713 4313 1 In in IN 39713 4313 2 measuring measure VBG 39713 4313 3 this this DT 39713 4313 4 attraction attraction NN 39713 4313 5 , , , 39713 4313 6 we -PRON- PRP 39713 4313 7 shall shall MD 39713 4313 8 measure measure VB 39713 4313 9 the the DT 39713 4313 10 velocity velocity NN 39713 4313 11 of of IN 39713 4313 12 the the DT 39713 4313 13 earth earth NN 39713 4313 14 ; ; : 39713 4313 15 not not RB 39713 4313 16 its -PRON- PRP$ 39713 4313 17 velocity velocity NN 39713 4313 18 in in IN 39713 4313 19 relation relation NN 39713 4313 20 to to IN 39713 4313 21 the the DT 39713 4313 22 sun sun NN 39713 4313 23 or or CC 39713 4313 24 the the DT 39713 4313 25 fixed fix VBN 39713 4313 26 stars star NNS 39713 4313 27 , , , 39713 4313 28 but but CC 39713 4313 29 its -PRON- PRP$ 39713 4313 30 absolute absolute JJ 39713 4313 31 velocity velocity NN 39713 4313 32 . . . 39713 4314 1 I -PRON- PRP 39713 4314 2 well well RB 39713 4314 3 know know VBP 39713 4314 4 what what WP 39713 4314 5 will will MD 39713 4314 6 be be VB 39713 4314 7 said say VBN 39713 4314 8 : : : 39713 4314 9 It -PRON- PRP 39713 4314 10 is be VBZ 39713 4314 11 not not RB 39713 4314 12 its -PRON- PRP$ 39713 4314 13 absolute absolute JJ 39713 4314 14 velocity velocity NN 39713 4314 15 that that WDT 39713 4314 16 is be VBZ 39713 4314 17 measured measure VBN 39713 4314 18 , , , 39713 4314 19 it -PRON- PRP 39713 4314 20 is be VBZ 39713 4314 21 its -PRON- PRP$ 39713 4314 22 velocity velocity NN 39713 4314 23 in in IN 39713 4314 24 relation relation NN 39713 4314 25 to to IN 39713 4314 26 the the DT 39713 4314 27 ether ether NN 39713 4314 28 . . . 39713 4315 1 How how WRB 39713 4315 2 unsatisfactory unsatisfactory JJ 39713 4315 3 that that DT 39713 4315 4 is be VBZ 39713 4315 5 ! ! . 39713 4316 1 Is be VBZ 39713 4316 2 it -PRON- PRP 39713 4316 3 not not RB 39713 4316 4 evident evident JJ 39713 4316 5 that that IN 39713 4316 6 from from IN 39713 4316 7 the the DT 39713 4316 8 principle principle NN 39713 4316 9 so so RB 39713 4316 10 understood understand VBD 39713 4316 11 we -PRON- PRP 39713 4316 12 could could MD 39713 4316 13 no no RB 39713 4316 14 longer longer RB 39713 4316 15 infer infer VB 39713 4316 16 anything anything NN 39713 4316 17 ? ? . 39713 4317 1 It -PRON- PRP 39713 4317 2 could could MD 39713 4317 3 no no RB 39713 4317 4 longer longer RB 39713 4317 5 tell tell VB 39713 4317 6 us -PRON- PRP 39713 4317 7 anything anything NN 39713 4317 8 just just RB 39713 4317 9 because because IN 39713 4317 10 it -PRON- PRP 39713 4317 11 would would MD 39713 4317 12 no no RB 39713 4317 13 longer longer RB 39713 4317 14 fear fear VB 39713 4317 15 any any DT 39713 4317 16 contradiction contradiction NN 39713 4317 17 . . . 39713 4318 1 If if IN 39713 4318 2 we -PRON- PRP 39713 4318 3 succeed succeed VBP 39713 4318 4 in in IN 39713 4318 5 measuring measure VBG 39713 4318 6 anything anything NN 39713 4318 7 , , , 39713 4318 8 we -PRON- PRP 39713 4318 9 shall shall MD 39713 4318 10 always always RB 39713 4318 11 be be VB 39713 4318 12 free free JJ 39713 4318 13 to to TO 39713 4318 14 say say VB 39713 4318 15 that that IN 39713 4318 16 this this DT 39713 4318 17 is be VBZ 39713 4318 18 not not RB 39713 4318 19 the the DT 39713 4318 20 absolute absolute JJ 39713 4318 21 velocity velocity NN 39713 4318 22 , , , 39713 4318 23 and and CC 39713 4318 24 if if IN 39713 4318 25 it -PRON- PRP 39713 4318 26 is be VBZ 39713 4318 27 not not RB 39713 4318 28 the the DT 39713 4318 29 velocity velocity NN 39713 4318 30 in in IN 39713 4318 31 relation relation NN 39713 4318 32 to to IN 39713 4318 33 the the DT 39713 4318 34 ether ether NN 39713 4318 35 , , , 39713 4318 36 it -PRON- PRP 39713 4318 37 might may MD 39713 4318 38 always always RB 39713 4318 39 be be VB 39713 4318 40 the the DT 39713 4318 41 velocity velocity NN 39713 4318 42 in in IN 39713 4318 43 relation relation NN 39713 4318 44 to to IN 39713 4318 45 some some DT 39713 4318 46 new new JJ 39713 4318 47 unknown unknown JJ 39713 4318 48 fluid fluid NN 39713 4318 49 with with IN 39713 4318 50 which which WDT 39713 4318 51 we -PRON- PRP 39713 4318 52 might may MD 39713 4318 53 fill fill VB 39713 4318 54 space space NN 39713 4318 55 . . . 39713 4319 1 Indeed indeed RB 39713 4319 2 , , , 39713 4319 3 experiment experiment NN 39713 4319 4 has have VBZ 39713 4319 5 taken take VBN 39713 4319 6 upon upon IN 39713 4319 7 itself -PRON- PRP 39713 4319 8 to to TO 39713 4319 9 ruin ruin VB 39713 4319 10 this this DT 39713 4319 11 interpretation interpretation NN 39713 4319 12 of of IN 39713 4319 13 the the DT 39713 4319 14 principle principle NN 39713 4319 15 of of IN 39713 4319 16 relativity relativity NN 39713 4319 17 ; ; : 39713 4319 18 all all DT 39713 4319 19 attempts attempt NNS 39713 4319 20 to to TO 39713 4319 21 measure measure VB 39713 4319 22 the the DT 39713 4319 23 velocity velocity NN 39713 4319 24 of of IN 39713 4319 25 the the DT 39713 4319 26 earth earth NN 39713 4319 27 in in IN 39713 4319 28 relation relation NN 39713 4319 29 to to IN 39713 4319 30 the the DT 39713 4319 31 ether ether NN 39713 4319 32 have have VBP 39713 4319 33 led lead VBN 39713 4319 34 to to IN 39713 4319 35 negative negative JJ 39713 4319 36 results result NNS 39713 4319 37 . . . 39713 4320 1 This this DT 39713 4320 2 time time NN 39713 4320 3 experimental experimental JJ 39713 4320 4 physics physics NN 39713 4320 5 has have VBZ 39713 4320 6 been be VBN 39713 4320 7 more more RBR 39713 4320 8 faithful faithful JJ 39713 4320 9 to to IN 39713 4320 10 the the DT 39713 4320 11 principle principle NN 39713 4320 12 than than IN 39713 4320 13 mathematical mathematical JJ 39713 4320 14 physics physics NN 39713 4320 15 ; ; : 39713 4320 16 the the DT 39713 4320 17 theorists theorist NNS 39713 4320 18 , , , 39713 4320 19 to to TO 39713 4320 20 put put VB 39713 4320 21 in in IN 39713 4320 22 accord accord NN 39713 4320 23 their -PRON- PRP$ 39713 4320 24 other other JJ 39713 4320 25 general general JJ 39713 4320 26 views view NNS 39713 4320 27 , , , 39713 4320 28 would would MD 39713 4320 29 not not RB 39713 4320 30 have have VB 39713 4320 31 spared spare VBN 39713 4320 32 it -PRON- PRP 39713 4320 33 ; ; : 39713 4320 34 but but CC 39713 4320 35 experiment experiment NN 39713 4320 36 has have VBZ 39713 4320 37 been be VBN 39713 4320 38 stubborn stubborn JJ 39713 4320 39 in in IN 39713 4320 40 confirming confirm VBG 39713 4320 41 it -PRON- PRP 39713 4320 42 . . . 39713 4321 1 The the DT 39713 4321 2 means mean NNS 39713 4321 3 have have VBP 39713 4321 4 been be VBN 39713 4321 5 varied vary VBN 39713 4321 6 ; ; : 39713 4321 7 finally finally RB 39713 4321 8 Michelson Michelson NNP 39713 4321 9 pushed push VBD 39713 4321 10 precision precision NN 39713 4321 11 to to IN 39713 4321 12 its -PRON- PRP$ 39713 4321 13 last last JJ 39713 4321 14 limits limit NNS 39713 4321 15 ; ; : 39713 4321 16 nothing nothing NN 39713 4321 17 came come VBD 39713 4321 18 of of IN 39713 4321 19 it -PRON- PRP 39713 4321 20 . . . 39713 4322 1 It -PRON- PRP 39713 4322 2 is be VBZ 39713 4322 3 precisely precisely RB 39713 4322 4 to to TO 39713 4322 5 explain explain VB 39713 4322 6 this this DT 39713 4322 7 obstinacy obstinacy NN 39713 4322 8 that that IN 39713 4322 9 the the DT 39713 4322 10 mathematicians mathematician NNS 39713 4322 11 are be VBP 39713 4322 12 forced force VBN 39713 4322 13 to to IN 39713 4322 14 - - HYPH 39713 4322 15 day day NN 39713 4322 16 to to TO 39713 4322 17 employ employ VB 39713 4322 18 all all PDT 39713 4322 19 their -PRON- PRP$ 39713 4322 20 ingenuity ingenuity NN 39713 4322 21 . . . 39713 4323 1 Their -PRON- PRP$ 39713 4323 2 task task NN 39713 4323 3 was be VBD 39713 4323 4 not not RB 39713 4323 5 easy easy JJ 39713 4323 6 , , , 39713 4323 7 and and CC 39713 4323 8 if if IN 39713 4323 9 Lorentz Lorentz NNP 39713 4323 10 has have VBZ 39713 4323 11 got get VBN 39713 4323 12 through through IN 39713 4323 13 it -PRON- PRP 39713 4323 14 , , , 39713 4323 15 it -PRON- PRP 39713 4323 16 is be VBZ 39713 4323 17 only only RB 39713 4323 18 by by IN 39713 4323 19 accumulating accumulate VBG 39713 4323 20 hypotheses hypothesis NNS 39713 4323 21 . . . 39713 4324 1 The the DT 39713 4324 2 most most RBS 39713 4324 3 ingenious ingenious JJ 39713 4324 4 idea idea NN 39713 4324 5 was be VBD 39713 4324 6 that that DT 39713 4324 7 of of IN 39713 4324 8 local local JJ 39713 4324 9 time time NN 39713 4324 10 . . . 39713 4325 1 Imagine imagine VB 39713 4325 2 two two CD 39713 4325 3 observers observer NNS 39713 4325 4 who who WP 39713 4325 5 wish wish VBP 39713 4325 6 to to TO 39713 4325 7 adjust adjust VB 39713 4325 8 their -PRON- PRP$ 39713 4325 9 timepieces timepiece NNS 39713 4325 10 by by IN 39713 4325 11 optical optical JJ 39713 4325 12 signals signal NNS 39713 4325 13 ; ; : 39713 4325 14 they -PRON- PRP 39713 4325 15 exchange exchange VBP 39713 4325 16 signals signal NNS 39713 4325 17 , , , 39713 4325 18 but but CC 39713 4325 19 as as IN 39713 4325 20 they -PRON- PRP 39713 4325 21 know know VBP 39713 4325 22 that that IN 39713 4325 23 the the DT 39713 4325 24 transmission transmission NN 39713 4325 25 of of IN 39713 4325 26 light light NN 39713 4325 27 is be VBZ 39713 4325 28 not not RB 39713 4325 29 instantaneous instantaneous JJ 39713 4325 30 , , , 39713 4325 31 they -PRON- PRP 39713 4325 32 are be VBP 39713 4325 33 careful careful JJ 39713 4325 34 to to TO 39713 4325 35 cross cross VB 39713 4325 36 them -PRON- PRP 39713 4325 37 . . . 39713 4326 1 When when WRB 39713 4326 2 station station NN 39713 4326 3 B b NN 39713 4326 4 perceives perceive VBZ 39713 4326 5 the the DT 39713 4326 6 signal signal NN 39713 4326 7 from from IN 39713 4326 8 station station NN 39713 4326 9 A A NNP 39713 4326 10 , , , 39713 4326 11 its -PRON- PRP$ 39713 4326 12 clock clock NN 39713 4326 13 should should MD 39713 4326 14 not not RB 39713 4326 15 mark mark VB 39713 4326 16 the the DT 39713 4326 17 same same JJ 39713 4326 18 hour hour NN 39713 4326 19 as as IN 39713 4326 20 that that DT 39713 4326 21 of of IN 39713 4326 22 station station NN 39713 4326 23 A A NNP 39713 4326 24 at at IN 39713 4326 25 the the DT 39713 4326 26 moment moment NN 39713 4326 27 of of IN 39713 4326 28 sending send VBG 39713 4326 29 the the DT 39713 4326 30 signal signal NN 39713 4326 31 , , , 39713 4326 32 but but CC 39713 4326 33 this this DT 39713 4326 34 hour hour NN 39713 4326 35 augmented augment VBN 39713 4326 36 by by IN 39713 4326 37 a a DT 39713 4326 38 constant constant JJ 39713 4326 39 representing represent VBG 39713 4326 40 the the DT 39713 4326 41 duration duration NN 39713 4326 42 of of IN 39713 4326 43 the the DT 39713 4326 44 transmission transmission NN 39713 4326 45 . . . 39713 4327 1 Suppose suppose VB 39713 4327 2 , , , 39713 4327 3 for for IN 39713 4327 4 example example NN 39713 4327 5 , , , 39713 4327 6 that that DT 39713 4327 7 station station NN 39713 4327 8 A a DT 39713 4327 9 sends send VBZ 39713 4327 10 its -PRON- PRP$ 39713 4327 11 signal signal NN 39713 4327 12 when when WRB 39713 4327 13 its -PRON- PRP$ 39713 4327 14 clock clock NN 39713 4327 15 marks mark VBZ 39713 4327 16 the the DT 39713 4327 17 hour hour NN 39713 4327 18 _ _ NNP 39713 4327 19 O O NNP 39713 4327 20 _ _ NNP 39713 4327 21 , , , 39713 4327 22 and and CC 39713 4327 23 that that IN 39713 4327 24 station station NN 39713 4327 25 B b NN 39713 4327 26 perceives perceive VBZ 39713 4327 27 it -PRON- PRP 39713 4327 28 when when WRB 39713 4327 29 its -PRON- PRP$ 39713 4327 30 clock clock NN 39713 4327 31 marks mark VBZ 39713 4327 32 the the DT 39713 4327 33 hour hour NN 39713 4327 34 _ _ NNP 39713 4327 35 t t NNP 39713 4327 36 _ _ NNP 39713 4327 37 . . . 39713 4328 1 The the DT 39713 4328 2 clocks clock NNS 39713 4328 3 are be VBP 39713 4328 4 adjusted adjust VBN 39713 4328 5 if if IN 39713 4328 6 the the DT 39713 4328 7 slowness slowness NN 39713 4328 8 equal equal JJ 39713 4328 9 to to IN 39713 4328 10 _ _ NNP 39713 4328 11 t t NNP 39713 4328 12 _ _ NNP 39713 4328 13 represents represent VBZ 39713 4328 14 the the DT 39713 4328 15 duration duration NN 39713 4328 16 of of IN 39713 4328 17 the the DT 39713 4328 18 transmission transmission NN 39713 4328 19 , , , 39713 4328 20 and and CC 39713 4328 21 to to TO 39713 4328 22 verify verify VB 39713 4328 23 it -PRON- PRP 39713 4328 24 , , , 39713 4328 25 station station NN 39713 4328 26 B B NNP 39713 4328 27 sends send VBZ 39713 4328 28 in in IN 39713 4328 29 its -PRON- PRP$ 39713 4328 30 turn turn NN 39713 4328 31 a a DT 39713 4328 32 signal signal NN 39713 4328 33 when when WRB 39713 4328 34 its -PRON- PRP$ 39713 4328 35 clock clock NN 39713 4328 36 marks mark NNS 39713 4328 37 _ _ NNP 39713 4328 38 O O NNP 39713 4328 39 _ _ NNP 39713 4328 40 ; ; : 39713 4328 41 then then RB 39713 4328 42 station station NN 39713 4328 43 A a DT 39713 4328 44 should should MD 39713 4328 45 perceive perceive VB 39713 4328 46 it -PRON- PRP 39713 4328 47 when when WRB 39713 4328 48 its -PRON- PRP$ 39713 4328 49 clock clock NN 39713 4328 50 marks mark NNS 39713 4328 51 _ _ NNP 39713 4328 52 t t NNP 39713 4328 53 _ _ NNP 39713 4328 54 . . . 39713 4329 1 The the DT 39713 4329 2 timepieces timepiece NNS 39713 4329 3 are be VBP 39713 4329 4 then then RB 39713 4329 5 adjusted adjust VBN 39713 4329 6 . . . 39713 4330 1 And and CC 39713 4330 2 in in IN 39713 4330 3 fact fact NN 39713 4330 4 they -PRON- PRP 39713 4330 5 mark mark VBP 39713 4330 6 the the DT 39713 4330 7 same same JJ 39713 4330 8 hour hour NN 39713 4330 9 at at IN 39713 4330 10 the the DT 39713 4330 11 same same JJ 39713 4330 12 physical physical JJ 39713 4330 13 instant instant NN 39713 4330 14 , , , 39713 4330 15 but but CC 39713 4330 16 on on IN 39713 4330 17 the the DT 39713 4330 18 one one CD 39713 4330 19 condition condition NN 39713 4330 20 , , , 39713 4330 21 that that IN 39713 4330 22 the the DT 39713 4330 23 two two CD 39713 4330 24 stations station NNS 39713 4330 25 are be VBP 39713 4330 26 fixed fix VBN 39713 4330 27 . . . 39713 4331 1 Otherwise otherwise RB 39713 4331 2 the the DT 39713 4331 3 duration duration NN 39713 4331 4 of of IN 39713 4331 5 the the DT 39713 4331 6 transmission transmission NN 39713 4331 7 will will MD 39713 4331 8 not not RB 39713 4331 9 be be VB 39713 4331 10 the the DT 39713 4331 11 same same JJ 39713 4331 12 in in IN 39713 4331 13 the the DT 39713 4331 14 two two CD 39713 4331 15 senses sense NNS 39713 4331 16 , , , 39713 4331 17 since since IN 39713 4331 18 the the DT 39713 4331 19 station station NN 39713 4331 20 A a NN 39713 4331 21 , , , 39713 4331 22 for for IN 39713 4331 23 example example NN 39713 4331 24 , , , 39713 4331 25 moves move VBZ 39713 4331 26 forward forward RB 39713 4331 27 to to TO 39713 4331 28 meet meet VB 39713 4331 29 the the DT 39713 4331 30 optical optical JJ 39713 4331 31 perturbation perturbation NN 39713 4331 32 emanating emanate VBG 39713 4331 33 from from IN 39713 4331 34 B b NN 39713 4331 35 , , , 39713 4331 36 whereas whereas IN 39713 4331 37 the the DT 39713 4331 38 station station NN 39713 4331 39 B b NN 39713 4331 40 flees flee VBZ 39713 4331 41 before before IN 39713 4331 42 the the DT 39713 4331 43 perturbation perturbation NN 39713 4331 44 emanating emanate VBG 39713 4331 45 from from IN 39713 4331 46 A. a. NN 39713 4332 1 The the DT 39713 4332 2 watches watch NNS 39713 4332 3 adjusted adjust VBN 39713 4332 4 in in IN 39713 4332 5 that that DT 39713 4332 6 way way NN 39713 4332 7 will will MD 39713 4332 8 not not RB 39713 4332 9 mark mark VB 39713 4332 10 , , , 39713 4332 11 therefore therefore RB 39713 4332 12 , , , 39713 4332 13 the the DT 39713 4332 14 true true JJ 39713 4332 15 time time NN 39713 4332 16 ; ; : 39713 4332 17 they -PRON- PRP 39713 4332 18 will will MD 39713 4332 19 mark mark VB 39713 4332 20 what what WP 39713 4332 21 may may MD 39713 4332 22 be be VB 39713 4332 23 called call VBN 39713 4332 24 the the DT 39713 4332 25 _ _ NNP 39713 4332 26 local local JJ 39713 4332 27 time time NN 39713 4332 28 _ _ NNP 39713 4332 29 , , , 39713 4332 30 so so IN 39713 4332 31 that that IN 39713 4332 32 one one CD 39713 4332 33 of of IN 39713 4332 34 them -PRON- PRP 39713 4332 35 will will MD 39713 4332 36 be be VB 39713 4332 37 slow slow JJ 39713 4332 38 of of IN 39713 4332 39 the the DT 39713 4332 40 other other JJ 39713 4332 41 . . . 39713 4333 1 It -PRON- PRP 39713 4333 2 matters matter VBZ 39713 4333 3 little little JJ 39713 4333 4 , , , 39713 4333 5 since since IN 39713 4333 6 we -PRON- PRP 39713 4333 7 have have VBP 39713 4333 8 no no DT 39713 4333 9 means means NN 39713 4333 10 of of IN 39713 4333 11 perceiving perceive VBG 39713 4333 12 it -PRON- PRP 39713 4333 13 . . . 39713 4334 1 All all PDT 39713 4334 2 the the DT 39713 4334 3 phenomena phenomenon NNS 39713 4334 4 which which WDT 39713 4334 5 happen happen VBP 39713 4334 6 at at IN 39713 4334 7 A a NN 39713 4334 8 , , , 39713 4334 9 for for IN 39713 4334 10 example example NN 39713 4334 11 , , , 39713 4334 12 will will MD 39713 4334 13 be be VB 39713 4334 14 late late JJ 39713 4334 15 , , , 39713 4334 16 but but CC 39713 4334 17 all all DT 39713 4334 18 will will MD 39713 4334 19 be be VB 39713 4334 20 equally equally RB 39713 4334 21 so so RB 39713 4334 22 , , , 39713 4334 23 and and CC 39713 4334 24 the the DT 39713 4334 25 observer observer NN 39713 4334 26 will will MD 39713 4334 27 not not RB 39713 4334 28 perceive perceive VB 39713 4334 29 it -PRON- PRP 39713 4334 30 , , , 39713 4334 31 since since IN 39713 4334 32 his -PRON- PRP$ 39713 4334 33 watch watch NN 39713 4334 34 is be VBZ 39713 4334 35 slow slow JJ 39713 4334 36 ; ; : 39713 4334 37 so so CC 39713 4334 38 , , , 39713 4334 39 as as IN 39713 4334 40 the the DT 39713 4334 41 principle principle NN 39713 4334 42 of of IN 39713 4334 43 relativity relativity NN 39713 4334 44 requires require VBZ 39713 4334 45 , , , 39713 4334 46 he -PRON- PRP 39713 4334 47 will will MD 39713 4334 48 have have VB 39713 4334 49 no no DT 39713 4334 50 means means NN 39713 4334 51 of of IN 39713 4334 52 knowing know VBG 39713 4334 53 whether whether IN 39713 4334 54 he -PRON- PRP 39713 4334 55 is be VBZ 39713 4334 56 at at IN 39713 4334 57 rest rest NN 39713 4334 58 or or CC 39713 4334 59 in in IN 39713 4334 60 absolute absolute JJ 39713 4334 61 motion motion NN 39713 4334 62 . . . 39713 4335 1 Unhappily unhappily RB 39713 4335 2 , , , 39713 4335 3 that that DT 39713 4335 4 does do VBZ 39713 4335 5 not not RB 39713 4335 6 suffice suffice VB 39713 4335 7 , , , 39713 4335 8 and and CC 39713 4335 9 complementary complementary JJ 39713 4335 10 hypotheses hypothesis NNS 39713 4335 11 are be VBP 39713 4335 12 necessary necessary JJ 39713 4335 13 ; ; : 39713 4335 14 it -PRON- PRP 39713 4335 15 is be VBZ 39713 4335 16 necessary necessary JJ 39713 4335 17 to to TO 39713 4335 18 admit admit VB 39713 4335 19 that that IN 39713 4335 20 bodies body NNS 39713 4335 21 in in IN 39713 4335 22 motion motion NN 39713 4335 23 undergo undergo VBP 39713 4335 24 a a DT 39713 4335 25 uniform uniform JJ 39713 4335 26 contraction contraction NN 39713 4335 27 in in IN 39713 4335 28 the the DT 39713 4335 29 sense sense NN 39713 4335 30 of of IN 39713 4335 31 the the DT 39713 4335 32 motion motion NN 39713 4335 33 . . . 39713 4336 1 One one CD 39713 4336 2 of of IN 39713 4336 3 the the DT 39713 4336 4 diameters diameter NNS 39713 4336 5 of of IN 39713 4336 6 the the DT 39713 4336 7 earth earth NN 39713 4336 8 , , , 39713 4336 9 for for IN 39713 4336 10 example example NN 39713 4336 11 , , , 39713 4336 12 is be VBZ 39713 4336 13 shrunk shrink VBN 39713 4336 14 by by IN 39713 4336 15 one one CD 39713 4336 16 two two CD 39713 4336 17 - - HYPH 39713 4336 18 hundred hundred CD 39713 4336 19 - - HYPH 39713 4336 20 millionth millionth NN 39713 4336 21 in in IN 39713 4336 22 consequence consequence NN 39713 4336 23 of of IN 39713 4336 24 our -PRON- PRP$ 39713 4336 25 planet planet NN 39713 4336 26 's 's POS 39713 4336 27 motion motion NN 39713 4336 28 , , , 39713 4336 29 while while IN 39713 4336 30 the the DT 39713 4336 31 other other JJ 39713 4336 32 diameter diameter NN 39713 4336 33 retains retain VBZ 39713 4336 34 its -PRON- PRP$ 39713 4336 35 normal normal JJ 39713 4336 36 length length NN 39713 4336 37 . . . 39713 4337 1 Thus thus RB 39713 4337 2 the the DT 39713 4337 3 last last JJ 39713 4337 4 little little JJ 39713 4337 5 differences difference NNS 39713 4337 6 are be VBP 39713 4337 7 compensated compensate VBN 39713 4337 8 . . . 39713 4338 1 And and CC 39713 4338 2 then then RB 39713 4338 3 , , , 39713 4338 4 there there EX 39713 4338 5 is be VBZ 39713 4338 6 still still RB 39713 4338 7 the the DT 39713 4338 8 hypothesis hypothesis NN 39713 4338 9 about about IN 39713 4338 10 forces force NNS 39713 4338 11 . . . 39713 4339 1 Forces force NNS 39713 4339 2 , , , 39713 4339 3 whatever whatever WDT 39713 4339 4 be be VBP 39713 4339 5 their -PRON- PRP$ 39713 4339 6 origin origin NN 39713 4339 7 , , , 39713 4339 8 gravity gravity NN 39713 4339 9 as as RB 39713 4339 10 well well RB 39713 4339 11 as as IN 39713 4339 12 elasticity elasticity NN 39713 4339 13 , , , 39713 4339 14 would would MD 39713 4339 15 be be VB 39713 4339 16 reduced reduce VBN 39713 4339 17 in in IN 39713 4339 18 a a DT 39713 4339 19 certain certain JJ 39713 4339 20 proportion proportion NN 39713 4339 21 in in IN 39713 4339 22 a a DT 39713 4339 23 world world NN 39713 4339 24 animated animate VBN 39713 4339 25 by by IN 39713 4339 26 a a DT 39713 4339 27 uniform uniform JJ 39713 4339 28 translation translation NN 39713 4339 29 ; ; : 39713 4339 30 or or CC 39713 4339 31 , , , 39713 4339 32 rather rather RB 39713 4339 33 , , , 39713 4339 34 this this DT 39713 4339 35 would would MD 39713 4339 36 happen happen VB 39713 4339 37 for for IN 39713 4339 38 the the DT 39713 4339 39 components component NNS 39713 4339 40 perpendicular perpendicular JJ 39713 4339 41 to to IN 39713 4339 42 the the DT 39713 4339 43 translation translation NN 39713 4339 44 ; ; : 39713 4339 45 the the DT 39713 4339 46 components component NNS 39713 4339 47 parallel parallel NN 39713 4339 48 would would MD 39713 4339 49 not not RB 39713 4339 50 change change VB 39713 4339 51 . . . 39713 4340 1 Resume resume NN 39713 4340 2 , , , 39713 4340 3 then then RB 39713 4340 4 , , , 39713 4340 5 our -PRON- PRP$ 39713 4340 6 example example NN 39713 4340 7 of of IN 39713 4340 8 two two CD 39713 4340 9 electrified electrified JJ 39713 4340 10 bodies body NNS 39713 4340 11 ; ; : 39713 4340 12 these these DT 39713 4340 13 bodies body NNS 39713 4340 14 repel repel VBP 39713 4340 15 each each DT 39713 4340 16 other other JJ 39713 4340 17 , , , 39713 4340 18 but but CC 39713 4340 19 at at IN 39713 4340 20 the the DT 39713 4340 21 same same JJ 39713 4340 22 time time NN 39713 4340 23 if if IN 39713 4340 24 all all DT 39713 4340 25 is be VBZ 39713 4340 26 carried carry VBN 39713 4340 27 along along RB 39713 4340 28 in in IN 39713 4340 29 a a DT 39713 4340 30 uniform uniform JJ 39713 4340 31 translation translation NN 39713 4340 32 , , , 39713 4340 33 they -PRON- PRP 39713 4340 34 are be VBP 39713 4340 35 equivalent equivalent JJ 39713 4340 36 to to IN 39713 4340 37 two two CD 39713 4340 38 parallel parallel JJ 39713 4340 39 currents current NNS 39713 4340 40 of of IN 39713 4340 41 the the DT 39713 4340 42 same same JJ 39713 4340 43 sense sense NN 39713 4340 44 which which WDT 39713 4340 45 attract attract VBP 39713 4340 46 each each DT 39713 4340 47 other other JJ 39713 4340 48 . . . 39713 4341 1 This this DT 39713 4341 2 electrodynamic electrodynamic JJ 39713 4341 3 attraction attraction NN 39713 4341 4 diminishes diminishe NNS 39713 4341 5 , , , 39713 4341 6 therefore therefore RB 39713 4341 7 , , , 39713 4341 8 the the DT 39713 4341 9 electrostatic electrostatic JJ 39713 4341 10 repulsion repulsion NN 39713 4341 11 , , , 39713 4341 12 and and CC 39713 4341 13 the the DT 39713 4341 14 total total JJ 39713 4341 15 repulsion repulsion NN 39713 4341 16 is be VBZ 39713 4341 17 feebler feeble JJR 39713 4341 18 than than IN 39713 4341 19 if if IN 39713 4341 20 the the DT 39713 4341 21 two two CD 39713 4341 22 bodies body NNS 39713 4341 23 were be VBD 39713 4341 24 at at IN 39713 4341 25 rest rest NN 39713 4341 26 . . . 39713 4342 1 But but CC 39713 4342 2 since since IN 39713 4342 3 to to TO 39713 4342 4 measure measure VB 39713 4342 5 this this DT 39713 4342 6 repulsion repulsion NN 39713 4342 7 we -PRON- PRP 39713 4342 8 must must MD 39713 4342 9 balance balance VB 39713 4342 10 it -PRON- PRP 39713 4342 11 by by IN 39713 4342 12 another another DT 39713 4342 13 force force NN 39713 4342 14 , , , 39713 4342 15 and and CC 39713 4342 16 all all PDT 39713 4342 17 these these DT 39713 4342 18 other other JJ 39713 4342 19 forces force NNS 39713 4342 20 are be VBP 39713 4342 21 reduced reduce VBN 39713 4342 22 in in IN 39713 4342 23 the the DT 39713 4342 24 same same JJ 39713 4342 25 proportion proportion NN 39713 4342 26 , , , 39713 4342 27 we -PRON- PRP 39713 4342 28 perceive perceive VBP 39713 4342 29 nothing nothing NN 39713 4342 30 . . . 39713 4343 1 Thus thus RB 39713 4343 2 all all DT 39713 4343 3 seems seem VBZ 39713 4343 4 arranged arrange VBN 39713 4343 5 , , , 39713 4343 6 but but CC 39713 4343 7 are be VBP 39713 4343 8 all all PDT 39713 4343 9 the the DT 39713 4343 10 doubts doubt NNS 39713 4343 11 dissipated dissipate VBN 39713 4343 12 ? ? . 39713 4344 1 What what WP 39713 4344 2 would would MD 39713 4344 3 happen happen VB 39713 4344 4 if if IN 39713 4344 5 one one PRP 39713 4344 6 could could MD 39713 4344 7 communicate communicate VB 39713 4344 8 by by IN 39713 4344 9 non non JJ 39713 4344 10 - - JJ 39713 4344 11 luminous luminous JJ 39713 4344 12 signals signal NNS 39713 4344 13 whose whose WP$ 39713 4344 14 velocity velocity NN 39713 4344 15 of of IN 39713 4344 16 propagation propagation NN 39713 4344 17 differed differ VBN 39713 4344 18 from from IN 39713 4344 19 that that DT 39713 4344 20 of of IN 39713 4344 21 light light NN 39713 4344 22 ? ? . 39713 4345 1 If if IN 39713 4345 2 , , , 39713 4345 3 after after IN 39713 4345 4 having have VBG 39713 4345 5 adjusted adjust VBN 39713 4345 6 the the DT 39713 4345 7 watches watch NNS 39713 4345 8 by by IN 39713 4345 9 the the DT 39713 4345 10 optical optical JJ 39713 4345 11 procedure procedure NN 39713 4345 12 , , , 39713 4345 13 we -PRON- PRP 39713 4345 14 wished wish VBD 39713 4345 15 to to TO 39713 4345 16 verify verify VB 39713 4345 17 the the DT 39713 4345 18 adjustment adjustment NN 39713 4345 19 by by IN 39713 4345 20 the the DT 39713 4345 21 aid aid NN 39713 4345 22 of of IN 39713 4345 23 these these DT 39713 4345 24 new new JJ 39713 4345 25 signals signal NNS 39713 4345 26 , , , 39713 4345 27 we -PRON- PRP 39713 4345 28 should should MD 39713 4345 29 observe observe VB 39713 4345 30 discrepancies discrepancy NNS 39713 4345 31 which which WDT 39713 4345 32 would would MD 39713 4345 33 render render VB 39713 4345 34 evident evident JJ 39713 4345 35 the the DT 39713 4345 36 common common JJ 39713 4345 37 translation translation NN 39713 4345 38 of of IN 39713 4345 39 the the DT 39713 4345 40 two two CD 39713 4345 41 stations station NNS 39713 4345 42 . . . 39713 4346 1 And and CC 39713 4346 2 are be VBP 39713 4346 3 such such JJ 39713 4346 4 signals signal NNS 39713 4346 5 inconceivable inconceivable JJ 39713 4346 6 , , , 39713 4346 7 if if IN 39713 4346 8 we -PRON- PRP 39713 4346 9 admit admit VBP 39713 4346 10 with with IN 39713 4346 11 Laplace Laplace NNP 39713 4346 12 that that IN 39713 4346 13 universal universal JJ 39713 4346 14 gravitation gravitation NN 39713 4346 15 is be VBZ 39713 4346 16 transmitted transmit VBN 39713 4346 17 a a DT 39713 4346 18 million million CD 39713 4346 19 times time NNS 39713 4346 20 more more RBR 39713 4346 21 rapidly rapidly RB 39713 4346 22 than than IN 39713 4346 23 light light NN 39713 4346 24 ? ? . 39713 4347 1 Thus thus RB 39713 4347 2 , , , 39713 4347 3 the the DT 39713 4347 4 principle principle NN 39713 4347 5 of of IN 39713 4347 6 relativity relativity NN 39713 4347 7 has have VBZ 39713 4347 8 been be VBN 39713 4347 9 valiantly valiantly RB 39713 4347 10 defended defend VBN 39713 4347 11 in in IN 39713 4347 12 these these DT 39713 4347 13 latter latter JJ 39713 4347 14 times time NNS 39713 4347 15 , , , 39713 4347 16 but but CC 39713 4347 17 the the DT 39713 4347 18 very very JJ 39713 4347 19 energy energy NN 39713 4347 20 of of IN 39713 4347 21 the the DT 39713 4347 22 defense defense NN 39713 4347 23 proves prove VBZ 39713 4347 24 how how WRB 39713 4347 25 serious serious JJ 39713 4347 26 was be VBD 39713 4347 27 the the DT 39713 4347 28 attack attack NN 39713 4347 29 . . . 39713 4348 1 _ _ NNP 39713 4348 2 Newton Newton NNP 39713 4348 3 's 's POS 39713 4348 4 Principle._--Let principle._--let CD 39713 4348 5 us -PRON- PRP 39713 4348 6 speak speak VBP 39713 4348 7 now now RB 39713 4348 8 of of IN 39713 4348 9 the the DT 39713 4348 10 principle principle NN 39713 4348 11 of of IN 39713 4348 12 Newton Newton NNP 39713 4348 13 , , , 39713 4348 14 on on IN 39713 4348 15 the the DT 39713 4348 16 equality equality NN 39713 4348 17 of of IN 39713 4348 18 action action NN 39713 4348 19 and and CC 39713 4348 20 reaction reaction NN 39713 4348 21 . . . 39713 4349 1 This this DT 39713 4349 2 is be VBZ 39713 4349 3 intimately intimately RB 39713 4349 4 bound bind VBN 39713 4349 5 up up RP 39713 4349 6 with with IN 39713 4349 7 the the DT 39713 4349 8 preceding preceding NN 39713 4349 9 , , , 39713 4349 10 and and CC 39713 4349 11 it -PRON- PRP 39713 4349 12 seems seem VBZ 39713 4349 13 indeed indeed RB 39713 4349 14 that that IN 39713 4349 15 the the DT 39713 4349 16 fall fall NN 39713 4349 17 of of IN 39713 4349 18 the the DT 39713 4349 19 one one NN 39713 4349 20 would would MD 39713 4349 21 involve involve VB 39713 4349 22 that that DT 39713 4349 23 of of IN 39713 4349 24 the the DT 39713 4349 25 other other JJ 39713 4349 26 . . . 39713 4350 1 Thus thus RB 39713 4350 2 we -PRON- PRP 39713 4350 3 must must MD 39713 4350 4 not not RB 39713 4350 5 be be VB 39713 4350 6 astonished astonish VBN 39713 4350 7 to to TO 39713 4350 8 find find VB 39713 4350 9 here here RB 39713 4350 10 the the DT 39713 4350 11 same same JJ 39713 4350 12 difficulties difficulty NNS 39713 4350 13 . . . 39713 4351 1 Electrical electrical JJ 39713 4351 2 phenomena phenomenon NNS 39713 4351 3 , , , 39713 4351 4 according accord VBG 39713 4351 5 to to IN 39713 4351 6 the the DT 39713 4351 7 theory theory NN 39713 4351 8 of of IN 39713 4351 9 Lorentz Lorentz NNP 39713 4351 10 , , , 39713 4351 11 are be VBP 39713 4351 12 due due JJ 39713 4351 13 to to IN 39713 4351 14 the the DT 39713 4351 15 displacements displacement NNS 39713 4351 16 of of IN 39713 4351 17 little little JJ 39713 4351 18 charged charge VBN 39713 4351 19 particles particle NNS 39713 4351 20 , , , 39713 4351 21 called call VBN 39713 4351 22 electrons electron NNS 39713 4351 23 , , , 39713 4351 24 immersed immerse VBN 39713 4351 25 in in IN 39713 4351 26 the the DT 39713 4351 27 medium medium NN 39713 4351 28 we -PRON- PRP 39713 4351 29 call call VBP 39713 4351 30 ether ether NN 39713 4351 31 . . . 39713 4352 1 The the DT 39713 4352 2 movements movement NNS 39713 4352 3 of of IN 39713 4352 4 these these DT 39713 4352 5 electrons electron NNS 39713 4352 6 produce produce VBP 39713 4352 7 perturbations perturbation NNS 39713 4352 8 in in IN 39713 4352 9 the the DT 39713 4352 10 neighboring neighboring NN 39713 4352 11 ether ether NN 39713 4352 12 ; ; : 39713 4352 13 these these DT 39713 4352 14 perturbations perturbation NNS 39713 4352 15 propagate propagate VBP 39713 4352 16 themselves -PRON- PRP 39713 4352 17 in in IN 39713 4352 18 every every DT 39713 4352 19 direction direction NN 39713 4352 20 with with IN 39713 4352 21 the the DT 39713 4352 22 velocity velocity NN 39713 4352 23 of of IN 39713 4352 24 light light NN 39713 4352 25 , , , 39713 4352 26 and and CC 39713 4352 27 in in IN 39713 4352 28 turn turn VB 39713 4352 29 other other JJ 39713 4352 30 electrons electron NNS 39713 4352 31 , , , 39713 4352 32 originally originally RB 39713 4352 33 at at IN 39713 4352 34 rest rest NN 39713 4352 35 , , , 39713 4352 36 are be VBP 39713 4352 37 made make VBN 39713 4352 38 to to TO 39713 4352 39 vibrate vibrate VB 39713 4352 40 when when WRB 39713 4352 41 the the DT 39713 4352 42 perturbation perturbation NN 39713 4352 43 reaches reach VBZ 39713 4352 44 the the DT 39713 4352 45 parts part NNS 39713 4352 46 of of IN 39713 4352 47 the the DT 39713 4352 48 ether ether NN 39713 4352 49 which which WDT 39713 4352 50 touch touch VBP 39713 4352 51 them -PRON- PRP 39713 4352 52 . . . 39713 4353 1 The the DT 39713 4353 2 electrons electron NNS 39713 4353 3 , , , 39713 4353 4 therefore therefore RB 39713 4353 5 , , , 39713 4353 6 act act VB 39713 4353 7 on on IN 39713 4353 8 one one CD 39713 4353 9 another another DT 39713 4353 10 , , , 39713 4353 11 but but CC 39713 4353 12 this this DT 39713 4353 13 action action NN 39713 4353 14 is be VBZ 39713 4353 15 not not RB 39713 4353 16 direct direct JJ 39713 4353 17 , , , 39713 4353 18 it -PRON- PRP 39713 4353 19 is be VBZ 39713 4353 20 accomplished accomplish VBN 39713 4353 21 through through IN 39713 4353 22 the the DT 39713 4353 23 ether ether NN 39713 4353 24 as as IN 39713 4353 25 intermediary intermediary NN 39713 4353 26 . . . 39713 4354 1 Under under IN 39713 4354 2 these these DT 39713 4354 3 conditions condition NNS 39713 4354 4 can can MD 39713 4354 5 there there EX 39713 4354 6 be be VB 39713 4354 7 compensation compensation NN 39713 4354 8 between between IN 39713 4354 9 action action NN 39713 4354 10 and and CC 39713 4354 11 reaction reaction NN 39713 4354 12 , , , 39713 4354 13 at at IN 39713 4354 14 least least JJS 39713 4354 15 for for IN 39713 4354 16 an an DT 39713 4354 17 observer observer NN 39713 4354 18 who who WP 39713 4354 19 should should MD 39713 4354 20 take take VB 39713 4354 21 account account NN 39713 4354 22 only only RB 39713 4354 23 of of IN 39713 4354 24 the the DT 39713 4354 25 movements movement NNS 39713 4354 26 of of IN 39713 4354 27 matter matter NN 39713 4354 28 , , , 39713 4354 29 that that RB 39713 4354 30 is is RB 39713 4354 31 , , , 39713 4354 32 of of IN 39713 4354 33 the the DT 39713 4354 34 electrons electron NNS 39713 4354 35 , , , 39713 4354 36 and and CC 39713 4354 37 who who WP 39713 4354 38 should should MD 39713 4354 39 be be VB 39713 4354 40 ignorant ignorant JJ 39713 4354 41 of of IN 39713 4354 42 those those DT 39713 4354 43 of of IN 39713 4354 44 the the DT 39713 4354 45 ether ether NN 39713 4354 46 that that IN 39713 4354 47 he -PRON- PRP 39713 4354 48 could could MD 39713 4354 49 not not RB 39713 4354 50 see see VB 39713 4354 51 ? ? . 39713 4355 1 Evidently evidently RB 39713 4355 2 not not RB 39713 4355 3 . . . 39713 4356 1 Even even RB 39713 4356 2 if if IN 39713 4356 3 the the DT 39713 4356 4 compensation compensation NN 39713 4356 5 should should MD 39713 4356 6 be be VB 39713 4356 7 exact exact JJ 39713 4356 8 , , , 39713 4356 9 it -PRON- PRP 39713 4356 10 could could MD 39713 4356 11 not not RB 39713 4356 12 be be VB 39713 4356 13 simultaneous simultaneous JJ 39713 4356 14 . . . 39713 4357 1 The the DT 39713 4357 2 perturbation perturbation NN 39713 4357 3 is be VBZ 39713 4357 4 propagated propagate VBN 39713 4357 5 with with IN 39713 4357 6 a a DT 39713 4357 7 finite finite JJ 39713 4357 8 velocity velocity NN 39713 4357 9 ; ; : 39713 4357 10 it -PRON- PRP 39713 4357 11 , , , 39713 4357 12 therefore therefore RB 39713 4357 13 , , , 39713 4357 14 reaches reach VBZ 39713 4357 15 the the DT 39713 4357 16 second second JJ 39713 4357 17 electron electron NN 39713 4357 18 only only RB 39713 4357 19 when when WRB 39713 4357 20 the the DT 39713 4357 21 first first JJ 39713 4357 22 has have VBZ 39713 4357 23 long long RB 39713 4357 24 ago ago RB 39713 4357 25 entered enter VBN 39713 4357 26 upon upon IN 39713 4357 27 its -PRON- PRP$ 39713 4357 28 rest rest NN 39713 4357 29 . . . 39713 4358 1 This this DT 39713 4358 2 second second JJ 39713 4358 3 electron electron NN 39713 4358 4 , , , 39713 4358 5 therefore therefore RB 39713 4358 6 , , , 39713 4358 7 will will MD 39713 4358 8 undergo undergo VB 39713 4358 9 , , , 39713 4358 10 after after IN 39713 4358 11 a a DT 39713 4358 12 delay delay NN 39713 4358 13 , , , 39713 4358 14 the the DT 39713 4358 15 action action NN 39713 4358 16 of of IN 39713 4358 17 the the DT 39713 4358 18 first first JJ 39713 4358 19 , , , 39713 4358 20 but but CC 39713 4358 21 will will MD 39713 4358 22 certainly certainly RB 39713 4358 23 not not RB 39713 4358 24 at at IN 39713 4358 25 that that DT 39713 4358 26 moment moment NN 39713 4358 27 react react VB 39713 4358 28 upon upon IN 39713 4358 29 it -PRON- PRP 39713 4358 30 , , , 39713 4358 31 since since IN 39713 4358 32 around around IN 39713 4358 33 this this DT 39713 4358 34 first first JJ 39713 4358 35 electron electron NN 39713 4358 36 nothing nothing NN 39713 4358 37 any any DT 39713 4358 38 longer long JJR 39713 4358 39 budges budge NNS 39713 4358 40 . . . 39713 4359 1 The the DT 39713 4359 2 analysis analysis NN 39713 4359 3 of of IN 39713 4359 4 the the DT 39713 4359 5 facts fact NNS 39713 4359 6 permits permit VBZ 39713 4359 7 us -PRON- PRP 39713 4359 8 to to TO 39713 4359 9 be be VB 39713 4359 10 still still RB 39713 4359 11 more more RBR 39713 4359 12 precise precise JJ 39713 4359 13 . . . 39713 4360 1 Imagine imagine VB 39713 4360 2 , , , 39713 4360 3 for for IN 39713 4360 4 example example NN 39713 4360 5 , , , 39713 4360 6 a a DT 39713 4360 7 Hertzian hertzian JJ 39713 4360 8 oscillator oscillator NN 39713 4360 9 , , , 39713 4360 10 like like IN 39713 4360 11 those those DT 39713 4360 12 used use VBN 39713 4360 13 in in IN 39713 4360 14 wireless wireless JJ 39713 4360 15 telegraphy telegraphy NN 39713 4360 16 ; ; : 39713 4360 17 it -PRON- PRP 39713 4360 18 sends send VBZ 39713 4360 19 out out RB 39713 4360 20 energy energy NN 39713 4360 21 in in IN 39713 4360 22 every every DT 39713 4360 23 direction direction NN 39713 4360 24 ; ; : 39713 4360 25 but but CC 39713 4360 26 we -PRON- PRP 39713 4360 27 can can MD 39713 4360 28 provide provide VB 39713 4360 29 it -PRON- PRP 39713 4360 30 with with IN 39713 4360 31 a a DT 39713 4360 32 parabolic parabolic JJ 39713 4360 33 mirror mirror NN 39713 4360 34 , , , 39713 4360 35 as as IN 39713 4360 36 Hertz Hertz NNP 39713 4360 37 did do VBD 39713 4360 38 with with IN 39713 4360 39 his -PRON- PRP$ 39713 4360 40 smallest small JJS 39713 4360 41 oscillators oscillator NNS 39713 4360 42 , , , 39713 4360 43 so so IN 39713 4360 44 as as IN 39713 4360 45 to to TO 39713 4360 46 send send VB 39713 4360 47 all all PDT 39713 4360 48 the the DT 39713 4360 49 energy energy NN 39713 4360 50 produced produce VBN 39713 4360 51 in in IN 39713 4360 52 a a DT 39713 4360 53 single single JJ 39713 4360 54 direction direction NN 39713 4360 55 . . . 39713 4361 1 What what WP 39713 4361 2 happens happen VBZ 39713 4361 3 then then RB 39713 4361 4 according accord VBG 39713 4361 5 to to IN 39713 4361 6 the the DT 39713 4361 7 theory theory NN 39713 4361 8 ? ? . 39713 4362 1 The the DT 39713 4362 2 apparatus apparatus NN 39713 4362 3 recoils recoil VBZ 39713 4362 4 , , , 39713 4362 5 as as IN 39713 4362 6 if if IN 39713 4362 7 it -PRON- PRP 39713 4362 8 were be VBD 39713 4362 9 a a DT 39713 4362 10 cannon cannon NN 39713 4362 11 and and CC 39713 4362 12 the the DT 39713 4362 13 projected project VBN 39713 4362 14 energy energy NN 39713 4362 15 a a DT 39713 4362 16 ball ball NN 39713 4362 17 ; ; : 39713 4362 18 and and CC 39713 4362 19 that that DT 39713 4362 20 is be VBZ 39713 4362 21 contrary contrary JJ 39713 4362 22 to to IN 39713 4362 23 the the DT 39713 4362 24 principle principle NN 39713 4362 25 of of IN 39713 4362 26 Newton Newton NNP 39713 4362 27 , , , 39713 4362 28 since since IN 39713 4362 29 our -PRON- PRP$ 39713 4362 30 projectile projectile NN 39713 4362 31 here here RB 39713 4362 32 has have VBZ 39713 4362 33 no no DT 39713 4362 34 mass mass NN 39713 4362 35 , , , 39713 4362 36 it -PRON- PRP 39713 4362 37 is be VBZ 39713 4362 38 not not RB 39713 4362 39 matter matter JJ 39713 4362 40 , , , 39713 4362 41 it -PRON- PRP 39713 4362 42 is be VBZ 39713 4362 43 energy energy NN 39713 4362 44 . . . 39713 4363 1 The the DT 39713 4363 2 case case NN 39713 4363 3 is be VBZ 39713 4363 4 still still RB 39713 4363 5 the the DT 39713 4363 6 same same JJ 39713 4363 7 , , , 39713 4363 8 moreover moreover RB 39713 4363 9 , , , 39713 4363 10 with with IN 39713 4363 11 a a DT 39713 4363 12 beacon beacon NN 39713 4363 13 light light NN 39713 4363 14 provided provide VBN 39713 4363 15 with with IN 39713 4363 16 a a DT 39713 4363 17 reflector reflector NN 39713 4363 18 , , , 39713 4363 19 since since IN 39713 4363 20 light light NN 39713 4363 21 is be VBZ 39713 4363 22 nothing nothing NN 39713 4363 23 but but IN 39713 4363 24 a a DT 39713 4363 25 perturbation perturbation NN 39713 4363 26 of of IN 39713 4363 27 the the DT 39713 4363 28 electromagnetic electromagnetic JJ 39713 4363 29 field field NN 39713 4363 30 . . . 39713 4364 1 This this DT 39713 4364 2 beacon beacon NN 39713 4364 3 light light NN 39713 4364 4 should should MD 39713 4364 5 recoil recoil VB 39713 4364 6 as as IN 39713 4364 7 if if IN 39713 4364 8 the the DT 39713 4364 9 light light NN 39713 4364 10 it -PRON- PRP 39713 4364 11 sends send VBZ 39713 4364 12 out out RP 39713 4364 13 were be VBD 39713 4364 14 a a DT 39713 4364 15 projectile projectile NN 39713 4364 16 . . . 39713 4365 1 What what WP 39713 4365 2 is be VBZ 39713 4365 3 the the DT 39713 4365 4 force force NN 39713 4365 5 that that WDT 39713 4365 6 should should MD 39713 4365 7 produce produce VB 39713 4365 8 this this DT 39713 4365 9 recoil recoil NN 39713 4365 10 ? ? . 39713 4366 1 It -PRON- PRP 39713 4366 2 is be VBZ 39713 4366 3 what what WP 39713 4366 4 is be VBZ 39713 4366 5 called call VBN 39713 4366 6 the the DT 39713 4366 7 Maxwell Maxwell NNP 39713 4366 8 - - HYPH 39713 4366 9 Bartholi Bartholi NNP 39713 4366 10 pressure pressure NN 39713 4366 11 . . . 39713 4367 1 It -PRON- PRP 39713 4367 2 is be VBZ 39713 4367 3 very very RB 39713 4367 4 minute minute JJ 39713 4367 5 , , , 39713 4367 6 and and CC 39713 4367 7 it -PRON- PRP 39713 4367 8 has have VBZ 39713 4367 9 been be VBN 39713 4367 10 difficult difficult JJ 39713 4367 11 to to TO 39713 4367 12 put put VB 39713 4367 13 it -PRON- PRP 39713 4367 14 in in IN 39713 4367 15 evidence evidence NN 39713 4367 16 even even RB 39713 4367 17 with with IN 39713 4367 18 the the DT 39713 4367 19 most most RBS 39713 4367 20 sensitive sensitive JJ 39713 4367 21 radiometers radiometer NNS 39713 4367 22 ; ; : 39713 4367 23 but but CC 39713 4367 24 it -PRON- PRP 39713 4367 25 suffices suffice VBZ 39713 4367 26 that that IN 39713 4367 27 it -PRON- PRP 39713 4367 28 exists exist VBZ 39713 4367 29 . . . 39713 4368 1 If if IN 39713 4368 2 all all PDT 39713 4368 3 the the DT 39713 4368 4 energy energy NN 39713 4368 5 issuing issue VBG 39713 4368 6 from from IN 39713 4368 7 our -PRON- PRP$ 39713 4368 8 oscillator oscillator NN 39713 4368 9 falls fall VBZ 39713 4368 10 on on IN 39713 4368 11 a a DT 39713 4368 12 receiver receiver NN 39713 4368 13 , , , 39713 4368 14 this this DT 39713 4368 15 will will MD 39713 4368 16 act act VB 39713 4368 17 as as IN 39713 4368 18 if if IN 39713 4368 19 it -PRON- PRP 39713 4368 20 had have VBD 39713 4368 21 received receive VBN 39713 4368 22 a a DT 39713 4368 23 mechanical mechanical JJ 39713 4368 24 shock shock NN 39713 4368 25 , , , 39713 4368 26 which which WDT 39713 4368 27 will will MD 39713 4368 28 represent represent VB 39713 4368 29 in in IN 39713 4368 30 a a DT 39713 4368 31 sense sense NN 39713 4368 32 the the DT 39713 4368 33 compensation compensation NN 39713 4368 34 of of IN 39713 4368 35 the the DT 39713 4368 36 oscillator oscillator NN 39713 4368 37 's 's POS 39713 4368 38 recoil recoil NN 39713 4368 39 ; ; : 39713 4368 40 the the DT 39713 4368 41 reaction reaction NN 39713 4368 42 will will MD 39713 4368 43 be be VB 39713 4368 44 equal equal JJ 39713 4368 45 to to IN 39713 4368 46 the the DT 39713 4368 47 action action NN 39713 4368 48 , , , 39713 4368 49 but but CC 39713 4368 50 it -PRON- PRP 39713 4368 51 will will MD 39713 4368 52 not not RB 39713 4368 53 be be VB 39713 4368 54 simultaneous simultaneous JJ 39713 4368 55 ; ; : 39713 4368 56 the the DT 39713 4368 57 receiver receiver NN 39713 4368 58 will will MD 39713 4368 59 move move VB 39713 4368 60 on on RB 39713 4368 61 , , , 39713 4368 62 but but CC 39713 4368 63 not not RB 39713 4368 64 at at IN 39713 4368 65 the the DT 39713 4368 66 moment moment NN 39713 4368 67 when when WRB 39713 4368 68 the the DT 39713 4368 69 oscillator oscillator NN 39713 4368 70 recoils recoil VBZ 39713 4368 71 . . . 39713 4369 1 If if IN 39713 4369 2 the the DT 39713 4369 3 energy energy NN 39713 4369 4 propagates propagate VBZ 39713 4369 5 itself -PRON- PRP 39713 4369 6 indefinitely indefinitely RB 39713 4369 7 without without IN 39713 4369 8 encountering encounter VBG 39713 4369 9 a a DT 39713 4369 10 receiver receiver NN 39713 4369 11 , , , 39713 4369 12 the the DT 39713 4369 13 compensation compensation NN 39713 4369 14 will will MD 39713 4369 15 never never RB 39713 4369 16 occur occur VB 39713 4369 17 . . . 39713 4370 1 Shall Shall MD 39713 4370 2 we -PRON- PRP 39713 4370 3 say say VB 39713 4370 4 that that IN 39713 4370 5 the the DT 39713 4370 6 space space NN 39713 4370 7 which which WDT 39713 4370 8 separates separate VBZ 39713 4370 9 the the DT 39713 4370 10 oscillator oscillator NN 39713 4370 11 from from IN 39713 4370 12 the the DT 39713 4370 13 receiver receiver NN 39713 4370 14 and and CC 39713 4370 15 which which WDT 39713 4370 16 the the DT 39713 4370 17 perturbation perturbation NN 39713 4370 18 must must MD 39713 4370 19 pass pass VB 39713 4370 20 over over RP 39713 4370 21 in in IN 39713 4370 22 going go VBG 39713 4370 23 from from IN 39713 4370 24 the the DT 39713 4370 25 one one NN 39713 4370 26 to to IN 39713 4370 27 the the DT 39713 4370 28 other other JJ 39713 4370 29 is be VBZ 39713 4370 30 not not RB 39713 4370 31 void void JJ 39713 4370 32 , , , 39713 4370 33 that that IN 39713 4370 34 it -PRON- PRP 39713 4370 35 is be VBZ 39713 4370 36 full full JJ 39713 4370 37 not not RB 39713 4370 38 only only RB 39713 4370 39 of of IN 39713 4370 40 ether ether NN 39713 4370 41 , , , 39713 4370 42 but but CC 39713 4370 43 of of IN 39713 4370 44 air air NN 39713 4370 45 , , , 39713 4370 46 or or CC 39713 4370 47 even even RB 39713 4370 48 in in IN 39713 4370 49 the the DT 39713 4370 50 interplanetary interplanetary JJ 39713 4370 51 spaces space NNS 39713 4370 52 of of IN 39713 4370 53 some some DT 39713 4370 54 fluid fluid JJ 39713 4370 55 subtile subtile NN 39713 4370 56 but but CC 39713 4370 57 still still RB 39713 4370 58 ponderable ponderable JJ 39713 4370 59 ; ; : 39713 4370 60 that that IN 39713 4370 61 this this DT 39713 4370 62 matter matter NN 39713 4370 63 undergoes undergo VBZ 39713 4370 64 the the DT 39713 4370 65 shock shock NN 39713 4370 66 like like IN 39713 4370 67 the the DT 39713 4370 68 receiver receiver NN 39713 4370 69 at at IN 39713 4370 70 the the DT 39713 4370 71 moment moment NN 39713 4370 72 when when WRB 39713 4370 73 the the DT 39713 4370 74 energy energy NN 39713 4370 75 reaches reach VBZ 39713 4370 76 it -PRON- PRP 39713 4370 77 , , , 39713 4370 78 and and CC 39713 4370 79 recoils recoil VBZ 39713 4370 80 in in IN 39713 4370 81 its -PRON- PRP$ 39713 4370 82 turn turn NN 39713 4370 83 when when WRB 39713 4370 84 the the DT 39713 4370 85 perturbation perturbation NN 39713 4370 86 quits quit VBZ 39713 4370 87 it -PRON- PRP 39713 4370 88 ? ? . 39713 4371 1 That that DT 39713 4371 2 would would MD 39713 4371 3 save save VB 39713 4371 4 Newton Newton NNP 39713 4371 5 's 's POS 39713 4371 6 principle principle NN 39713 4371 7 , , , 39713 4371 8 but but CC 39713 4371 9 that that DT 39713 4371 10 is be VBZ 39713 4371 11 not not RB 39713 4371 12 true true JJ 39713 4371 13 . . . 39713 4372 1 If if IN 39713 4372 2 energy energy NN 39713 4372 3 in in IN 39713 4372 4 its -PRON- PRP$ 39713 4372 5 diffusion diffusion NN 39713 4372 6 remained remain VBD 39713 4372 7 always always RB 39713 4372 8 attached attach VBN 39713 4372 9 to to IN 39713 4372 10 some some DT 39713 4372 11 material material JJ 39713 4372 12 substratum substratum NN 39713 4372 13 , , , 39713 4372 14 then then RB 39713 4372 15 matter matter VB 39713 4372 16 in in IN 39713 4372 17 motion motion NN 39713 4372 18 would would MD 39713 4372 19 carry carry VB 39713 4372 20 along along RP 39713 4372 21 light light NN 39713 4372 22 with with IN 39713 4372 23 it -PRON- PRP 39713 4372 24 , , , 39713 4372 25 and and CC 39713 4372 26 Fizeau Fizeau NNP 39713 4372 27 has have VBZ 39713 4372 28 demonstrated demonstrate VBN 39713 4372 29 that that IN 39713 4372 30 it -PRON- PRP 39713 4372 31 does do VBZ 39713 4372 32 nothing nothing NN 39713 4372 33 of of IN 39713 4372 34 the the DT 39713 4372 35 sort sort NN 39713 4372 36 , , , 39713 4372 37 at at IN 39713 4372 38 least least JJS 39713 4372 39 for for IN 39713 4372 40 air air NN 39713 4372 41 . . . 39713 4373 1 Michelson Michelson NNP 39713 4373 2 and and CC 39713 4373 3 Morley Morley NNP 39713 4373 4 have have VBP 39713 4373 5 since since IN 39713 4373 6 confirmed confirm VBN 39713 4373 7 this this DT 39713 4373 8 . . . 39713 4374 1 It -PRON- PRP 39713 4374 2 might may MD 39713 4374 3 be be VB 39713 4374 4 supposed suppose VBN 39713 4374 5 also also RB 39713 4374 6 that that IN 39713 4374 7 the the DT 39713 4374 8 movements movement NNS 39713 4374 9 of of IN 39713 4374 10 matter matter NN 39713 4374 11 proper proper JJ 39713 4374 12 are be VBP 39713 4374 13 exactly exactly RB 39713 4374 14 compensated compensate VBN 39713 4374 15 by by IN 39713 4374 16 those those DT 39713 4374 17 of of IN 39713 4374 18 the the DT 39713 4374 19 ether ether NN 39713 4374 20 ; ; : 39713 4374 21 but but CC 39713 4374 22 that that DT 39713 4374 23 would would MD 39713 4374 24 lead lead VB 39713 4374 25 us -PRON- PRP 39713 4374 26 to to IN 39713 4374 27 the the DT 39713 4374 28 same same JJ 39713 4374 29 reflections reflection NNS 39713 4374 30 as as IN 39713 4374 31 before before RB 39713 4374 32 now now RB 39713 4374 33 . . . 39713 4375 1 The the DT 39713 4375 2 principle principle NN 39713 4375 3 so so RB 39713 4375 4 understood understand VBD 39713 4375 5 will will MD 39713 4375 6 explain explain VB 39713 4375 7 everything everything NN 39713 4375 8 , , , 39713 4375 9 since since RB 39713 4375 10 , , , 39713 4375 11 whatever whatever WDT 39713 4375 12 might may MD 39713 4375 13 be be VB 39713 4375 14 the the DT 39713 4375 15 visible visible JJ 39713 4375 16 movements movement NNS 39713 4375 17 , , , 39713 4375 18 we -PRON- PRP 39713 4375 19 always always RB 39713 4375 20 could could MD 39713 4375 21 imagine imagine VB 39713 4375 22 hypothetical hypothetical JJ 39713 4375 23 movements movement NNS 39713 4375 24 which which WDT 39713 4375 25 compensate compensate VBP 39713 4375 26 them -PRON- PRP 39713 4375 27 . . . 39713 4376 1 But but CC 39713 4376 2 if if IN 39713 4376 3 it -PRON- PRP 39713 4376 4 is be VBZ 39713 4376 5 able able JJ 39713 4376 6 to to TO 39713 4376 7 explain explain VB 39713 4376 8 everything everything NN 39713 4376 9 , , , 39713 4376 10 this this DT 39713 4376 11 is be VBZ 39713 4376 12 because because IN 39713 4376 13 it -PRON- PRP 39713 4376 14 does do VBZ 39713 4376 15 not not RB 39713 4376 16 enable enable VB 39713 4376 17 us -PRON- PRP 39713 4376 18 to to TO 39713 4376 19 foresee foresee VB 39713 4376 20 anything anything NN 39713 4376 21 ; ; : 39713 4376 22 it -PRON- PRP 39713 4376 23 does do VBZ 39713 4376 24 not not RB 39713 4376 25 enable enable VB 39713 4376 26 us -PRON- PRP 39713 4376 27 to to TO 39713 4376 28 decide decide VB 39713 4376 29 between between IN 39713 4376 30 the the DT 39713 4376 31 different different JJ 39713 4376 32 possible possible JJ 39713 4376 33 hypotheses hypothesis NNS 39713 4376 34 , , , 39713 4376 35 since since IN 39713 4376 36 it -PRON- PRP 39713 4376 37 explains explain VBZ 39713 4376 38 everything everything NN 39713 4376 39 beforehand beforehand RB 39713 4376 40 . . . 39713 4377 1 It -PRON- PRP 39713 4377 2 therefore therefore RB 39713 4377 3 becomes become VBZ 39713 4377 4 useless useless JJ 39713 4377 5 . . . 39713 4378 1 And and CC 39713 4378 2 then then RB 39713 4378 3 the the DT 39713 4378 4 suppositions supposition NNS 39713 4378 5 that that WDT 39713 4378 6 it -PRON- PRP 39713 4378 7 would would MD 39713 4378 8 be be VB 39713 4378 9 necessary necessary JJ 39713 4378 10 to to TO 39713 4378 11 make make VB 39713 4378 12 on on IN 39713 4378 13 the the DT 39713 4378 14 movements movement NNS 39713 4378 15 of of IN 39713 4378 16 the the DT 39713 4378 17 ether ether NN 39713 4378 18 are be VBP 39713 4378 19 not not RB 39713 4378 20 very very RB 39713 4378 21 satisfactory satisfactory JJ 39713 4378 22 . . . 39713 4379 1 If if IN 39713 4379 2 the the DT 39713 4379 3 electric electric JJ 39713 4379 4 charges charge NNS 39713 4379 5 double double JJ 39713 4379 6 , , , 39713 4379 7 it -PRON- PRP 39713 4379 8 would would MD 39713 4379 9 be be VB 39713 4379 10 natural natural JJ 39713 4379 11 to to TO 39713 4379 12 imagine imagine VB 39713 4379 13 that that IN 39713 4379 14 the the DT 39713 4379 15 velocities velocity NNS 39713 4379 16 of of IN 39713 4379 17 the the DT 39713 4379 18 diverse diverse JJ 39713 4379 19 atoms atom NNS 39713 4379 20 of of IN 39713 4379 21 ether ether NN 39713 4379 22 double double JJ 39713 4379 23 also also RB 39713 4379 24 ; ; : 39713 4379 25 but but CC 39713 4379 26 , , , 39713 4379 27 for for IN 39713 4379 28 the the DT 39713 4379 29 compensation compensation NN 39713 4379 30 , , , 39713 4379 31 it -PRON- PRP 39713 4379 32 would would MD 39713 4379 33 be be VB 39713 4379 34 necessary necessary JJ 39713 4379 35 that that IN 39713 4379 36 the the DT 39713 4379 37 mean mean JJ 39713 4379 38 velocity velocity NN 39713 4379 39 of of IN 39713 4379 40 the the DT 39713 4379 41 ether ether NN 39713 4379 42 quadruple quadruple NN 39713 4379 43 . . . 39713 4380 1 This this DT 39713 4380 2 is be VBZ 39713 4380 3 why why WRB 39713 4380 4 I -PRON- PRP 39713 4380 5 have have VBP 39713 4380 6 long long RB 39713 4380 7 thought think VBN 39713 4380 8 that that IN 39713 4380 9 these these DT 39713 4380 10 consequences consequence NNS 39713 4380 11 of of IN 39713 4380 12 theory theory NN 39713 4380 13 , , , 39713 4380 14 contrary contrary JJ 39713 4380 15 to to IN 39713 4380 16 Newton Newton NNP 39713 4380 17 's 's POS 39713 4380 18 principle principle NN 39713 4380 19 , , , 39713 4380 20 would would MD 39713 4380 21 end end VB 39713 4380 22 some some DT 39713 4380 23 day day NN 39713 4380 24 by by IN 39713 4380 25 being be VBG 39713 4380 26 abandoned abandon VBN 39713 4380 27 , , , 39713 4380 28 and and CC 39713 4380 29 yet yet RB 39713 4380 30 the the DT 39713 4380 31 recent recent JJ 39713 4380 32 experiments experiment NNS 39713 4380 33 on on IN 39713 4380 34 the the DT 39713 4380 35 movements movement NNS 39713 4380 36 of of IN 39713 4380 37 the the DT 39713 4380 38 electrons electron NNS 39713 4380 39 issuing issue VBG 39713 4380 40 from from IN 39713 4380 41 radium radium NN 39713 4380 42 seem seem VBP 39713 4380 43 rather rather RB 39713 4380 44 to to TO 39713 4380 45 confirm confirm VB 39713 4380 46 them -PRON- PRP 39713 4380 47 . . . 39713 4381 1 _ _ NNP 39713 4381 2 Lavoisier Lavoisier NNP 39713 4381 3 's 's POS 39713 4381 4 Principle._--I principle._--i NN 39713 4381 5 arrive arrive VB 39713 4381 6 at at IN 39713 4381 7 the the DT 39713 4381 8 principle principle NN 39713 4381 9 of of IN 39713 4381 10 Lavoisier Lavoisier NNP 39713 4381 11 on on IN 39713 4381 12 the the DT 39713 4381 13 conservation conservation NN 39713 4381 14 of of IN 39713 4381 15 mass mass NN 39713 4381 16 . . . 39713 4382 1 Certainly certainly RB 39713 4382 2 , , , 39713 4382 3 this this DT 39713 4382 4 is be VBZ 39713 4382 5 one one NN 39713 4382 6 not not RB 39713 4382 7 to to TO 39713 4382 8 be be VB 39713 4382 9 touched touch VBN 39713 4382 10 without without IN 39713 4382 11 unsettling unsettle VBG 39713 4382 12 all all DT 39713 4382 13 mechanics mechanic NNS 39713 4382 14 . . . 39713 4383 1 And and CC 39713 4383 2 now now RB 39713 4383 3 certain certain JJ 39713 4383 4 persons person NNS 39713 4383 5 think think VBP 39713 4383 6 that that IN 39713 4383 7 it -PRON- PRP 39713 4383 8 seems seem VBZ 39713 4383 9 true true JJ 39713 4383 10 to to IN 39713 4383 11 us -PRON- PRP 39713 4383 12 only only RB 39713 4383 13 because because IN 39713 4383 14 in in IN 39713 4383 15 mechanics mechanic NNS 39713 4383 16 merely merely RB 39713 4383 17 moderate moderate JJ 39713 4383 18 velocities velocity NNS 39713 4383 19 are be VBP 39713 4383 20 considered consider VBN 39713 4383 21 , , , 39713 4383 22 but but CC 39713 4383 23 that that IN 39713 4383 24 it -PRON- PRP 39713 4383 25 would would MD 39713 4383 26 cease cease VB 39713 4383 27 to to TO 39713 4383 28 be be VB 39713 4383 29 true true JJ 39713 4383 30 for for IN 39713 4383 31 bodies body NNS 39713 4383 32 animated animate VBN 39713 4383 33 by by IN 39713 4383 34 velocities velocity NNS 39713 4383 35 comparable comparable JJ 39713 4383 36 to to IN 39713 4383 37 that that DT 39713 4383 38 of of IN 39713 4383 39 light light NN 39713 4383 40 . . . 39713 4384 1 Now now RB 39713 4384 2 these these DT 39713 4384 3 velocities velocity NNS 39713 4384 4 are be VBP 39713 4384 5 believed believe VBN 39713 4384 6 at at IN 39713 4384 7 present present JJ 39713 4384 8 to to TO 39713 4384 9 have have VB 39713 4384 10 been be VBN 39713 4384 11 realized realize VBN 39713 4384 12 ; ; : 39713 4384 13 the the DT 39713 4384 14 cathode cathode NN 39713 4384 15 rays ray NNS 39713 4384 16 and and CC 39713 4384 17 those those DT 39713 4384 18 of of IN 39713 4384 19 radium radium NN 39713 4384 20 may may MD 39713 4384 21 be be VB 39713 4384 22 formed form VBN 39713 4384 23 of of IN 39713 4384 24 very very RB 39713 4384 25 minute minute NN 39713 4384 26 particles particle NNS 39713 4384 27 or or CC 39713 4384 28 of of IN 39713 4384 29 electrons electron NNS 39713 4384 30 which which WDT 39713 4384 31 are be VBP 39713 4384 32 displaced displace VBN 39713 4384 33 with with IN 39713 4384 34 velocities velocity NNS 39713 4384 35 smaller small JJR 39713 4384 36 no no RB 39713 4384 37 doubt doubt RB 39713 4384 38 than than IN 39713 4384 39 that that DT 39713 4384 40 of of IN 39713 4384 41 light light NN 39713 4384 42 , , , 39713 4384 43 but but CC 39713 4384 44 which which WDT 39713 4384 45 might may MD 39713 4384 46 be be VB 39713 4384 47 its -PRON- PRP$ 39713 4384 48 one one CD 39713 4384 49 tenth tenth NN 39713 4384 50 or or CC 39713 4384 51 one one CD 39713 4384 52 third third NN 39713 4384 53 . . . 39713 4385 1 These these DT 39713 4385 2 rays ray NNS 39713 4385 3 can can MD 39713 4385 4 be be VB 39713 4385 5 deflected deflect VBN 39713 4385 6 , , , 39713 4385 7 whether whether IN 39713 4385 8 by by IN 39713 4385 9 an an DT 39713 4385 10 electric electric JJ 39713 4385 11 field field NN 39713 4385 12 , , , 39713 4385 13 or or CC 39713 4385 14 by by IN 39713 4385 15 a a DT 39713 4385 16 magnetic magnetic JJ 39713 4385 17 field field NN 39713 4385 18 , , , 39713 4385 19 and and CC 39713 4385 20 we -PRON- PRP 39713 4385 21 are be VBP 39713 4385 22 able able JJ 39713 4385 23 , , , 39713 4385 24 by by IN 39713 4385 25 comparing compare VBG 39713 4385 26 these these DT 39713 4385 27 deflections deflection NNS 39713 4385 28 , , , 39713 4385 29 to to TO 39713 4385 30 measure measure VB 39713 4385 31 at at IN 39713 4385 32 the the DT 39713 4385 33 same same JJ 39713 4385 34 time time NN 39713 4385 35 the the DT 39713 4385 36 velocity velocity NN 39713 4385 37 of of IN 39713 4385 38 the the DT 39713 4385 39 electrons electron NNS 39713 4385 40 and and CC 39713 4385 41 their -PRON- PRP$ 39713 4385 42 mass mass NN 39713 4385 43 ( ( -LRB- 39713 4385 44 or or CC 39713 4385 45 rather rather RB 39713 4385 46 the the DT 39713 4385 47 relation relation NN 39713 4385 48 of of IN 39713 4385 49 their -PRON- PRP$ 39713 4385 50 mass mass NN 39713 4385 51 to to IN 39713 4385 52 their -PRON- PRP$ 39713 4385 53 charge charge NN 39713 4385 54 ) ) -RRB- 39713 4385 55 . . . 39713 4386 1 But but CC 39713 4386 2 when when WRB 39713 4386 3 it -PRON- PRP 39713 4386 4 was be VBD 39713 4386 5 seen see VBN 39713 4386 6 that that IN 39713 4386 7 these these DT 39713 4386 8 velocities velocity NNS 39713 4386 9 approached approach VBD 39713 4386 10 that that IN 39713 4386 11 of of IN 39713 4386 12 light light NN 39713 4386 13 , , , 39713 4386 14 it -PRON- PRP 39713 4386 15 was be VBD 39713 4386 16 decided decide VBN 39713 4386 17 that that IN 39713 4386 18 a a DT 39713 4386 19 correction correction NN 39713 4386 20 was be VBD 39713 4386 21 necessary necessary JJ 39713 4386 22 . . . 39713 4387 1 These these DT 39713 4387 2 molecules molecule NNS 39713 4387 3 , , , 39713 4387 4 being be VBG 39713 4387 5 electrified electrify VBN 39713 4387 6 , , , 39713 4387 7 can can MD 39713 4387 8 not not RB 39713 4387 9 be be VB 39713 4387 10 displaced displace VBN 39713 4387 11 without without IN 39713 4387 12 agitating agitate VBG 39713 4387 13 the the DT 39713 4387 14 ether ether NN 39713 4387 15 ; ; : 39713 4387 16 to to TO 39713 4387 17 put put VB 39713 4387 18 them -PRON- PRP 39713 4387 19 in in IN 39713 4387 20 motion motion NN 39713 4387 21 it -PRON- PRP 39713 4387 22 is be VBZ 39713 4387 23 necessary necessary JJ 39713 4387 24 to to TO 39713 4387 25 overcome overcome VB 39713 4387 26 a a DT 39713 4387 27 double double JJ 39713 4387 28 inertia inertia NN 39713 4387 29 , , , 39713 4387 30 that that DT 39713 4387 31 of of IN 39713 4387 32 the the DT 39713 4387 33 molecule molecule NN 39713 4387 34 itself -PRON- PRP 39713 4387 35 and and CC 39713 4387 36 that that IN 39713 4387 37 of of IN 39713 4387 38 the the DT 39713 4387 39 ether ether NN 39713 4387 40 . . . 39713 4388 1 The the DT 39713 4388 2 total total JJ 39713 4388 3 or or CC 39713 4388 4 apparent apparent JJ 39713 4388 5 mass mass NN 39713 4388 6 that that IN 39713 4388 7 one one CD 39713 4388 8 measures measure NNS 39713 4388 9 is be VBZ 39713 4388 10 composed compose VBN 39713 4388 11 , , , 39713 4388 12 therefore therefore RB 39713 4388 13 , , , 39713 4388 14 of of IN 39713 4388 15 two two CD 39713 4388 16 parts part NNS 39713 4388 17 : : : 39713 4388 18 the the DT 39713 4388 19 real real JJ 39713 4388 20 or or CC 39713 4388 21 mechanical mechanical JJ 39713 4388 22 mass mass NN 39713 4388 23 of of IN 39713 4388 24 the the DT 39713 4388 25 molecule molecule NN 39713 4388 26 and and CC 39713 4388 27 the the DT 39713 4388 28 electrodynamic electrodynamic JJ 39713 4388 29 mass mass NN 39713 4388 30 representing represent VBG 39713 4388 31 the the DT 39713 4388 32 inertia inertia NN 39713 4388 33 of of IN 39713 4388 34 the the DT 39713 4388 35 ether ether NN 39713 4388 36 . . . 39713 4389 1 The the DT 39713 4389 2 calculations calculation NNS 39713 4389 3 of of IN 39713 4389 4 Abraham Abraham NNP 39713 4389 5 and and CC 39713 4389 6 the the DT 39713 4389 7 experiments experiment NNS 39713 4389 8 of of IN 39713 4389 9 Kaufmann Kaufmann NNP 39713 4389 10 have have VBP 39713 4389 11 then then RB 39713 4389 12 shown show VBN 39713 4389 13 that that IN 39713 4389 14 the the DT 39713 4389 15 mechanical mechanical JJ 39713 4389 16 mass mass NN 39713 4389 17 , , , 39713 4389 18 properly properly RB 39713 4389 19 so so RB 39713 4389 20 called call VBN 39713 4389 21 , , , 39713 4389 22 is be VBZ 39713 4389 23 null null JJ 39713 4389 24 , , , 39713 4389 25 and and CC 39713 4389 26 that that IN 39713 4389 27 the the DT 39713 4389 28 mass mass NN 39713 4389 29 of of IN 39713 4389 30 the the DT 39713 4389 31 electrons electron NNS 39713 4389 32 , , , 39713 4389 33 or or CC 39713 4389 34 , , , 39713 4389 35 at at IN 39713 4389 36 least least JJS 39713 4389 37 , , , 39713 4389 38 of of IN 39713 4389 39 the the DT 39713 4389 40 negative negative JJ 39713 4389 41 electrons electron NNS 39713 4389 42 , , , 39713 4389 43 is be VBZ 39713 4389 44 of of IN 39713 4389 45 exclusively exclusively RB 39713 4389 46 electrodynamic electrodynamic JJ 39713 4389 47 origin origin NN 39713 4389 48 . . . 39713 4390 1 This this DT 39713 4390 2 is be VBZ 39713 4390 3 what what WP 39713 4390 4 forces force VBZ 39713 4390 5 us -PRON- PRP 39713 4390 6 to to TO 39713 4390 7 change change VB 39713 4390 8 the the DT 39713 4390 9 definition definition NN 39713 4390 10 of of IN 39713 4390 11 mass mass NN 39713 4390 12 ; ; : 39713 4390 13 we -PRON- PRP 39713 4390 14 can can MD 39713 4390 15 not not RB 39713 4390 16 any any DT 39713 4390 17 longer longer RB 39713 4390 18 distinguish distinguish JJ 39713 4390 19 mechanical mechanical JJ 39713 4390 20 mass mass NNP 39713 4390 21 and and CC 39713 4390 22 electrodynamic electrodynamic JJ 39713 4390 23 mass mass NNP 39713 4390 24 , , , 39713 4390 25 since since IN 39713 4390 26 then then RB 39713 4390 27 the the DT 39713 4390 28 first first JJ 39713 4390 29 would would MD 39713 4390 30 vanish vanish VB 39713 4390 31 ; ; : 39713 4390 32 there there EX 39713 4390 33 is be VBZ 39713 4390 34 no no DT 39713 4390 35 mass mass NN 39713 4390 36 other other JJ 39713 4390 37 than than IN 39713 4390 38 electrodynamic electrodynamic JJ 39713 4390 39 inertia inertia NN 39713 4390 40 . . . 39713 4391 1 But but CC 39713 4391 2 in in IN 39713 4391 3 this this DT 39713 4391 4 case case NN 39713 4391 5 the the DT 39713 4391 6 mass mass NN 39713 4391 7 can can MD 39713 4391 8 no no RB 39713 4391 9 longer longer RB 39713 4391 10 be be VB 39713 4391 11 constant constant JJ 39713 4391 12 ; ; : 39713 4391 13 it -PRON- PRP 39713 4391 14 augments augment VBZ 39713 4391 15 with with IN 39713 4391 16 the the DT 39713 4391 17 velocity velocity NN 39713 4391 18 , , , 39713 4391 19 and and CC 39713 4391 20 it -PRON- PRP 39713 4391 21 even even RB 39713 4391 22 depends depend VBZ 39713 4391 23 on on IN 39713 4391 24 the the DT 39713 4391 25 direction direction NN 39713 4391 26 , , , 39713 4391 27 and and CC 39713 4391 28 a a DT 39713 4391 29 body body NN 39713 4391 30 animated animate VBN 39713 4391 31 by by IN 39713 4391 32 a a DT 39713 4391 33 notable notable JJ 39713 4391 34 velocity velocity NN 39713 4391 35 will will MD 39713 4391 36 not not RB 39713 4391 37 oppose oppose VB 39713 4391 38 the the DT 39713 4391 39 same same JJ 39713 4391 40 inertia inertia NN 39713 4391 41 to to IN 39713 4391 42 the the DT 39713 4391 43 forces force NNS 39713 4391 44 which which WDT 39713 4391 45 tend tend VBP 39713 4391 46 to to TO 39713 4391 47 deflect deflect VB 39713 4391 48 it -PRON- PRP 39713 4391 49 from from IN 39713 4391 50 its -PRON- PRP$ 39713 4391 51 route route NN 39713 4391 52 , , , 39713 4391 53 as as IN 39713 4391 54 to to IN 39713 4391 55 those those DT 39713 4391 56 which which WDT 39713 4391 57 tend tend VBP 39713 4391 58 to to TO 39713 4391 59 accelerate accelerate VB 39713 4391 60 or or CC 39713 4391 61 to to TO 39713 4391 62 retard retard VB 39713 4391 63 its -PRON- PRP$ 39713 4391 64 progress progress NN 39713 4391 65 . . . 39713 4392 1 There there EX 39713 4392 2 is be VBZ 39713 4392 3 still still RB 39713 4392 4 a a DT 39713 4392 5 resource resource NN 39713 4392 6 ; ; : 39713 4392 7 the the DT 39713 4392 8 ultimate ultimate JJ 39713 4392 9 elements element NNS 39713 4392 10 of of IN 39713 4392 11 bodies body NNS 39713 4392 12 are be VBP 39713 4392 13 electrons electron NNS 39713 4392 14 , , , 39713 4392 15 some some DT 39713 4392 16 charged charge VBN 39713 4392 17 negatively negatively RB 39713 4392 18 , , , 39713 4392 19 the the DT 39713 4392 20 others other NNS 39713 4392 21 charged charge VBD 39713 4392 22 positively positively RB 39713 4392 23 . . . 39713 4393 1 The the DT 39713 4393 2 negative negative JJ 39713 4393 3 electrons electron NNS 39713 4393 4 have have VBP 39713 4393 5 no no DT 39713 4393 6 mass mass NN 39713 4393 7 , , , 39713 4393 8 this this DT 39713 4393 9 is be VBZ 39713 4393 10 understood understand VBN 39713 4393 11 ; ; : 39713 4393 12 but but CC 39713 4393 13 the the DT 39713 4393 14 positive positive JJ 39713 4393 15 electrons electron NNS 39713 4393 16 , , , 39713 4393 17 from from IN 39713 4393 18 the the DT 39713 4393 19 little little JJ 39713 4393 20 we -PRON- PRP 39713 4393 21 know know VBP 39713 4393 22 of of IN 39713 4393 23 them -PRON- PRP 39713 4393 24 , , , 39713 4393 25 seem seem VBP 39713 4393 26 much much RB 39713 4393 27 greater great JJR 39713 4393 28 . . . 39713 4394 1 Perhaps perhaps RB 39713 4394 2 they -PRON- PRP 39713 4394 3 have have VBP 39713 4394 4 , , , 39713 4394 5 besides besides IN 39713 4394 6 their -PRON- PRP$ 39713 4394 7 electrodynamic electrodynamic JJ 39713 4394 8 mass mass NN 39713 4394 9 , , , 39713 4394 10 a a DT 39713 4394 11 true true JJ 39713 4394 12 mechanical mechanical JJ 39713 4394 13 mass mass NN 39713 4394 14 . . . 39713 4395 1 The the DT 39713 4395 2 real real JJ 39713 4395 3 mass mass NN 39713 4395 4 of of IN 39713 4395 5 a a DT 39713 4395 6 body body NN 39713 4395 7 would would MD 39713 4395 8 , , , 39713 4395 9 then then RB 39713 4395 10 , , , 39713 4395 11 be be VB 39713 4395 12 the the DT 39713 4395 13 sum sum NN 39713 4395 14 of of IN 39713 4395 15 the the DT 39713 4395 16 mechanical mechanical JJ 39713 4395 17 masses masse NNS 39713 4395 18 of of IN 39713 4395 19 its -PRON- PRP$ 39713 4395 20 positive positive JJ 39713 4395 21 electrons electron NNS 39713 4395 22 , , , 39713 4395 23 the the DT 39713 4395 24 negative negative JJ 39713 4395 25 electrons electron NNS 39713 4395 26 not not RB 39713 4395 27 counting count VBG 39713 4395 28 ; ; : 39713 4395 29 mass mass NNP 39713 4395 30 so so RB 39713 4395 31 defined define VBN 39713 4395 32 might may MD 39713 4395 33 still still RB 39713 4395 34 be be VB 39713 4395 35 constant constant JJ 39713 4395 36 . . . 39713 4396 1 Alas alas UH 39713 4396 2 ! ! . 39713 4397 1 this this DT 39713 4397 2 resource resource NN 39713 4397 3 also also RB 39713 4397 4 evades evade VBZ 39713 4397 5 us -PRON- PRP 39713 4397 6 . . . 39713 4398 1 Recall recall VB 39713 4398 2 what what WP 39713 4398 3 we -PRON- PRP 39713 4398 4 have have VBP 39713 4398 5 said say VBD 39713 4398 6 of of IN 39713 4398 7 the the DT 39713 4398 8 principle principle NN 39713 4398 9 of of IN 39713 4398 10 relativity relativity NN 39713 4398 11 and and CC 39713 4398 12 of of IN 39713 4398 13 the the DT 39713 4398 14 efforts effort NNS 39713 4398 15 made make VBN 39713 4398 16 to to TO 39713 4398 17 save save VB 39713 4398 18 it -PRON- PRP 39713 4398 19 . . . 39713 4399 1 And and CC 39713 4399 2 it -PRON- PRP 39713 4399 3 is be VBZ 39713 4399 4 not not RB 39713 4399 5 merely merely RB 39713 4399 6 a a DT 39713 4399 7 principle principle NN 39713 4399 8 which which WDT 39713 4399 9 it -PRON- PRP 39713 4399 10 is be VBZ 39713 4399 11 a a DT 39713 4399 12 question question NN 39713 4399 13 of of IN 39713 4399 14 saving saving NN 39713 4399 15 , , , 39713 4399 16 it -PRON- PRP 39713 4399 17 is be VBZ 39713 4399 18 the the DT 39713 4399 19 indubitable indubitable JJ 39713 4399 20 results result NNS 39713 4399 21 of of IN 39713 4399 22 the the DT 39713 4399 23 experiments experiment NNS 39713 4399 24 of of IN 39713 4399 25 Michelson Michelson NNP 39713 4399 26 . . . 39713 4400 1 Well well UH 39713 4400 2 , , , 39713 4400 3 as as IN 39713 4400 4 was be VBD 39713 4400 5 above above RB 39713 4400 6 seen see VBN 39713 4400 7 , , , 39713 4400 8 Lorentz Lorentz NNP 39713 4400 9 , , , 39713 4400 10 to to TO 39713 4400 11 account account VB 39713 4400 12 for for IN 39713 4400 13 these these DT 39713 4400 14 results result NNS 39713 4400 15 , , , 39713 4400 16 was be VBD 39713 4400 17 obliged oblige VBN 39713 4400 18 to to TO 39713 4400 19 suppose suppose VB 39713 4400 20 that that IN 39713 4400 21 all all DT 39713 4400 22 forces force NNS 39713 4400 23 , , , 39713 4400 24 whatever whatever WDT 39713 4400 25 their -PRON- PRP$ 39713 4400 26 origin origin NN 39713 4400 27 , , , 39713 4400 28 were be VBD 39713 4400 29 reduced reduce VBN 39713 4400 30 in in IN 39713 4400 31 the the DT 39713 4400 32 same same JJ 39713 4400 33 proportion proportion NN 39713 4400 34 in in IN 39713 4400 35 a a DT 39713 4400 36 medium medium NN 39713 4400 37 animated animate VBN 39713 4400 38 by by IN 39713 4400 39 a a DT 39713 4400 40 uniform uniform JJ 39713 4400 41 translation translation NN 39713 4400 42 ; ; : 39713 4400 43 this this DT 39713 4400 44 is be VBZ 39713 4400 45 not not RB 39713 4400 46 sufficient sufficient JJ 39713 4400 47 ; ; : 39713 4400 48 it -PRON- PRP 39713 4400 49 is be VBZ 39713 4400 50 not not RB 39713 4400 51 enough enough JJ 39713 4400 52 that that IN 39713 4400 53 this this DT 39713 4400 54 take take VB 39713 4400 55 place place NN 39713 4400 56 for for IN 39713 4400 57 the the DT 39713 4400 58 real real JJ 39713 4400 59 forces force NNS 39713 4400 60 , , , 39713 4400 61 it -PRON- PRP 39713 4400 62 must must MD 39713 4400 63 also also RB 39713 4400 64 be be VB 39713 4400 65 the the DT 39713 4400 66 same same JJ 39713 4400 67 for for IN 39713 4400 68 the the DT 39713 4400 69 forces force NNS 39713 4400 70 of of IN 39713 4400 71 inertia inertia NN 39713 4400 72 ; ; : 39713 4400 73 it -PRON- PRP 39713 4400 74 is be VBZ 39713 4400 75 therefore therefore RB 39713 4400 76 necessary necessary JJ 39713 4400 77 , , , 39713 4400 78 he -PRON- PRP 39713 4400 79 says say VBZ 39713 4400 80 , , , 39713 4400 81 that that IN 39713 4400 82 _ _ NNP 39713 4400 83 the the DT 39713 4400 84 masses masse NNS 39713 4400 85 of of IN 39713 4400 86 all all PDT 39713 4400 87 the the DT 39713 4400 88 particles particle NNS 39713 4400 89 be be VB 39713 4400 90 influenced influence VBN 39713 4400 91 by by IN 39713 4400 92 a a DT 39713 4400 93 translation translation NN 39713 4400 94 to to IN 39713 4400 95 the the DT 39713 4400 96 same same JJ 39713 4400 97 degree degree NN 39713 4400 98 as as IN 39713 4400 99 the the DT 39713 4400 100 electromagnetic electromagnetic JJ 39713 4400 101 masses masse NNS 39713 4400 102 of of IN 39713 4400 103 the the DT 39713 4400 104 electrons electron NNS 39713 4400 105 _ _ NNP 39713 4400 106 . . . 39713 4401 1 So so RB 39713 4401 2 the the DT 39713 4401 3 mechanical mechanical JJ 39713 4401 4 masses masse NNS 39713 4401 5 must must MD 39713 4401 6 vary vary VB 39713 4401 7 in in IN 39713 4401 8 accordance accordance NN 39713 4401 9 with with IN 39713 4401 10 the the DT 39713 4401 11 same same JJ 39713 4401 12 laws law NNS 39713 4401 13 as as IN 39713 4401 14 the the DT 39713 4401 15 electrodynamic electrodynamic JJ 39713 4401 16 masses masse NNS 39713 4401 17 ; ; : 39713 4401 18 they -PRON- PRP 39713 4401 19 can can MD 39713 4401 20 not not RB 39713 4401 21 , , , 39713 4401 22 therefore therefore RB 39713 4401 23 , , , 39713 4401 24 be be VB 39713 4401 25 constant constant JJ 39713 4401 26 . . . 39713 4402 1 Need need VBP 39713 4402 2 I -PRON- PRP 39713 4402 3 point point VBP 39713 4402 4 out out RP 39713 4402 5 that that IN 39713 4402 6 the the DT 39713 4402 7 fall fall NN 39713 4402 8 of of IN 39713 4402 9 Lavoisier Lavoisier NNP 39713 4402 10 's 's POS 39713 4402 11 principle principle NN 39713 4402 12 involves involve VBZ 39713 4402 13 that that DT 39713 4402 14 of of IN 39713 4402 15 Newton Newton NNP 39713 4402 16 's 's POS 39713 4402 17 ? ? . 39713 4403 1 This this DT 39713 4403 2 latter latter JJ 39713 4403 3 signifies signify VBZ 39713 4403 4 that that IN 39713 4403 5 the the DT 39713 4403 6 center center NN 39713 4403 7 of of IN 39713 4403 8 gravity gravity NN 39713 4403 9 of of IN 39713 4403 10 an an DT 39713 4403 11 isolated isolated JJ 39713 4403 12 system system NN 39713 4403 13 moves move NNS 39713 4403 14 in in IN 39713 4403 15 a a DT 39713 4403 16 straight straight JJ 39713 4403 17 line line NN 39713 4403 18 ; ; : 39713 4403 19 but but CC 39713 4403 20 if if IN 39713 4403 21 there there EX 39713 4403 22 is be VBZ 39713 4403 23 no no RB 39713 4403 24 longer long RBR 39713 4403 25 a a DT 39713 4403 26 constant constant JJ 39713 4403 27 mass mass NN 39713 4403 28 , , , 39713 4403 29 there there EX 39713 4403 30 is be VBZ 39713 4403 31 no no RB 39713 4403 32 longer long RBR 39713 4403 33 a a DT 39713 4403 34 center center NN 39713 4403 35 of of IN 39713 4403 36 gravity gravity NN 39713 4403 37 , , , 39713 4403 38 we -PRON- PRP 39713 4403 39 no no RB 39713 4403 40 longer longer RB 39713 4403 41 know know VBP 39713 4403 42 even even RB 39713 4403 43 what what WP 39713 4403 44 this this DT 39713 4403 45 is be VBZ 39713 4403 46 . . . 39713 4404 1 This this DT 39713 4404 2 is be VBZ 39713 4404 3 why why WRB 39713 4404 4 I -PRON- PRP 39713 4404 5 said say VBD 39713 4404 6 above above IN 39713 4404 7 that that IN 39713 4404 8 the the DT 39713 4404 9 experiments experiment NNS 39713 4404 10 on on IN 39713 4404 11 the the DT 39713 4404 12 cathode cathode NN 39713 4404 13 rays ray NNS 39713 4404 14 appeared appear VBD 39713 4404 15 to to TO 39713 4404 16 justify justify VB 39713 4404 17 the the DT 39713 4404 18 doubts doubt NNS 39713 4404 19 of of IN 39713 4404 20 Lorentz Lorentz NNP 39713 4404 21 concerning concern VBG 39713 4404 22 Newton Newton NNP 39713 4404 23 's 's POS 39713 4404 24 principle principle NN 39713 4404 25 . . . 39713 4405 1 From from IN 39713 4405 2 all all PDT 39713 4405 3 these these DT 39713 4405 4 results result NNS 39713 4405 5 , , , 39713 4405 6 if if IN 39713 4405 7 they -PRON- PRP 39713 4405 8 were be VBD 39713 4405 9 confirmed confirm VBN 39713 4405 10 , , , 39713 4405 11 would would MD 39713 4405 12 arise arise VB 39713 4405 13 an an DT 39713 4405 14 entirely entirely RB 39713 4405 15 new new JJ 39713 4405 16 mechanics mechanic NNS 39713 4405 17 , , , 39713 4405 18 which which WDT 39713 4405 19 would would MD 39713 4405 20 be be VB 39713 4405 21 , , , 39713 4405 22 above above IN 39713 4405 23 all all DT 39713 4405 24 , , , 39713 4405 25 characterized characterize VBN 39713 4405 26 by by IN 39713 4405 27 this this DT 39713 4405 28 fact fact NN 39713 4405 29 , , , 39713 4405 30 that that IN 39713 4405 31 no no DT 39713 4405 32 velocity velocity NN 39713 4405 33 could could MD 39713 4405 34 surpass surpass VB 39713 4405 35 that that DT 39713 4405 36 of of IN 39713 4405 37 light,[9 light,[9 NNP 39713 4405 38 ] ] -RRB- 39713 4405 39 any any DT 39713 4405 40 more more RBR 39713 4405 41 than than IN 39713 4405 42 any any DT 39713 4405 43 temperature temperature NN 39713 4405 44 can can MD 39713 4405 45 fall fall VB 39713 4405 46 below below IN 39713 4405 47 absolute absolute JJ 39713 4405 48 zero zero CD 39713 4405 49 . . . 39713 4406 1 [ [ -LRB- 39713 4406 2 9 9 CD 39713 4406 3 ] ] -RRB- 39713 4406 4 Because because IN 39713 4406 5 bodies body NNS 39713 4406 6 would would MD 39713 4406 7 oppose oppose VB 39713 4406 8 an an DT 39713 4406 9 increasing increase VBG 39713 4406 10 inertia inertia NN 39713 4406 11 to to IN 39713 4406 12 the the DT 39713 4406 13 causes cause NNS 39713 4406 14 which which WDT 39713 4406 15 would would MD 39713 4406 16 tend tend VB 39713 4406 17 to to TO 39713 4406 18 accelerate accelerate VB 39713 4406 19 their -PRON- PRP$ 39713 4406 20 motion motion NN 39713 4406 21 ; ; : 39713 4406 22 and and CC 39713 4406 23 this this DT 39713 4406 24 inertia inertia NN 39713 4406 25 would would MD 39713 4406 26 become become VB 39713 4406 27 infinite infinite JJ 39713 4406 28 when when WRB 39713 4406 29 one one PRP 39713 4406 30 approached approach VBD 39713 4406 31 the the DT 39713 4406 32 velocity velocity NN 39713 4406 33 of of IN 39713 4406 34 light light NN 39713 4406 35 . . . 39713 4407 1 No no DT 39713 4407 2 more more JJR 39713 4407 3 for for IN 39713 4407 4 an an DT 39713 4407 5 observer observer NN 39713 4407 6 , , , 39713 4407 7 carried carry VBN 39713 4407 8 along along IN 39713 4407 9 himself -PRON- PRP 39713 4407 10 in in IN 39713 4407 11 a a DT 39713 4407 12 translation translation NN 39713 4407 13 he -PRON- PRP 39713 4407 14 does do VBZ 39713 4407 15 not not RB 39713 4407 16 suspect suspect VB 39713 4407 17 , , , 39713 4407 18 could could MD 39713 4407 19 any any DT 39713 4407 20 apparent apparent JJ 39713 4407 21 velocity velocity NN 39713 4407 22 surpass surpass NN 39713 4407 23 that that WDT 39713 4407 24 of of IN 39713 4407 25 light light NN 39713 4407 26 ; ; : 39713 4407 27 and and CC 39713 4407 28 this this DT 39713 4407 29 would would MD 39713 4407 30 be be VB 39713 4407 31 then then RB 39713 4407 32 a a DT 39713 4407 33 contradiction contradiction NN 39713 4407 34 , , , 39713 4407 35 if if IN 39713 4407 36 we -PRON- PRP 39713 4407 37 did do VBD 39713 4407 38 not not RB 39713 4407 39 recall recall VB 39713 4407 40 that that IN 39713 4407 41 this this DT 39713 4407 42 observer observer NN 39713 4407 43 would would MD 39713 4407 44 not not RB 39713 4407 45 use use VB 39713 4407 46 the the DT 39713 4407 47 same same JJ 39713 4407 48 clocks clock NNS 39713 4407 49 as as IN 39713 4407 50 a a DT 39713 4407 51 fixed fix VBN 39713 4407 52 observer observer NN 39713 4407 53 , , , 39713 4407 54 but but CC 39713 4407 55 , , , 39713 4407 56 indeed indeed RB 39713 4407 57 , , , 39713 4407 58 clocks clock NNS 39713 4407 59 marking mark VBG 39713 4407 60 ' ' `` 39713 4407 61 local local JJ 39713 4407 62 time time NN 39713 4407 63 . . . 39713 4407 64 ' ' '' 39713 4408 1 Here here RB 39713 4408 2 we -PRON- PRP 39713 4408 3 are be VBP 39713 4408 4 then then RB 39713 4408 5 facing face VBG 39713 4408 6 a a DT 39713 4408 7 question question NN 39713 4408 8 I -PRON- PRP 39713 4408 9 content content VBP 39713 4408 10 myself -PRON- PRP 39713 4408 11 with with IN 39713 4408 12 stating state VBG 39713 4408 13 . . . 39713 4409 1 If if IN 39713 4409 2 there there EX 39713 4409 3 is be VBZ 39713 4409 4 no no DT 39713 4409 5 longer long RBR 39713 4409 6 any any DT 39713 4409 7 mass mass NN 39713 4409 8 , , , 39713 4409 9 what what WP 39713 4409 10 becomes become VBZ 39713 4409 11 of of IN 39713 4409 12 Newton Newton NNP 39713 4409 13 's 's POS 39713 4409 14 law law NN 39713 4409 15 ? ? . 39713 4410 1 Mass Mass NNP 39713 4410 2 has have VBZ 39713 4410 3 two two CD 39713 4410 4 aspects aspect NNS 39713 4410 5 : : : 39713 4410 6 it -PRON- PRP 39713 4410 7 is be VBZ 39713 4410 8 at at IN 39713 4410 9 the the DT 39713 4410 10 same same JJ 39713 4410 11 time time NN 39713 4410 12 a a DT 39713 4410 13 coefficient coefficient NN 39713 4410 14 of of IN 39713 4410 15 inertia inertia NN 39713 4410 16 and and CC 39713 4410 17 an an DT 39713 4410 18 attracting attract VBG 39713 4410 19 mass mass NN 39713 4410 20 entering entering NN 39713 4410 21 as as IN 39713 4410 22 factor factor NN 39713 4410 23 into into IN 39713 4410 24 Newtonian newtonian JJ 39713 4410 25 attraction attraction NN 39713 4410 26 . . . 39713 4411 1 If if IN 39713 4411 2 the the DT 39713 4411 3 coefficient coefficient NN 39713 4411 4 of of IN 39713 4411 5 inertia inertia NN 39713 4411 6 is be VBZ 39713 4411 7 not not RB 39713 4411 8 constant constant JJ 39713 4411 9 , , , 39713 4411 10 can can MD 39713 4411 11 the the DT 39713 4411 12 attracting attract VBG 39713 4411 13 mass mass NN 39713 4411 14 be be VB 39713 4411 15 ? ? . 39713 4412 1 That that DT 39713 4412 2 is be VBZ 39713 4412 3 the the DT 39713 4412 4 question question NN 39713 4412 5 . . . 39713 4413 1 _ _ NNP 39713 4413 2 Mayer Mayer NNP 39713 4413 3 's 's POS 39713 4413 4 Principle._--At principle._--at NN 39713 4413 5 least least JJS 39713 4413 6 , , , 39713 4413 7 the the DT 39713 4413 8 principle principle NN 39713 4413 9 of of IN 39713 4413 10 the the DT 39713 4413 11 conservation conservation NN 39713 4413 12 of of IN 39713 4413 13 energy energy NN 39713 4413 14 yet yet RB 39713 4413 15 remained remain VBD 39713 4413 16 to to IN 39713 4413 17 us -PRON- PRP 39713 4413 18 , , , 39713 4413 19 and and CC 39713 4413 20 this this DT 39713 4413 21 seemed seem VBD 39713 4413 22 more more RBR 39713 4413 23 solid solid JJ 39713 4413 24 . . . 39713 4414 1 Shall Shall MD 39713 4414 2 I -PRON- PRP 39713 4414 3 recall recall VB 39713 4414 4 to to IN 39713 4414 5 you -PRON- PRP 39713 4414 6 how how WRB 39713 4414 7 it -PRON- PRP 39713 4414 8 was be VBD 39713 4414 9 in in IN 39713 4414 10 its -PRON- PRP$ 39713 4414 11 turn turn NN 39713 4414 12 thrown throw VBN 39713 4414 13 into into IN 39713 4414 14 discredit discredit NN 39713 4414 15 ? ? . 39713 4415 1 This this DT 39713 4415 2 event event NN 39713 4415 3 has have VBZ 39713 4415 4 made make VBN 39713 4415 5 more more JJR 39713 4415 6 noise noise NN 39713 4415 7 than than IN 39713 4415 8 the the DT 39713 4415 9 preceding preceding NN 39713 4415 10 , , , 39713 4415 11 and and CC 39713 4415 12 it -PRON- PRP 39713 4415 13 is be VBZ 39713 4415 14 in in IN 39713 4415 15 all all PDT 39713 4415 16 the the DT 39713 4415 17 memoirs memoir NNS 39713 4415 18 . . . 39713 4416 1 From from IN 39713 4416 2 the the DT 39713 4416 3 first first JJ 39713 4416 4 words word NNS 39713 4416 5 of of IN 39713 4416 6 Becquerel Becquerel NNP 39713 4416 7 , , , 39713 4416 8 and and CC 39713 4416 9 , , , 39713 4416 10 above above IN 39713 4416 11 all all DT 39713 4416 12 , , , 39713 4416 13 when when WRB 39713 4416 14 the the DT 39713 4416 15 Curies Curies NNPS 39713 4416 16 had have VBD 39713 4416 17 discovered discover VBN 39713 4416 18 radium radium NN 39713 4416 19 , , , 39713 4416 20 it -PRON- PRP 39713 4416 21 was be VBD 39713 4416 22 seen see VBN 39713 4416 23 that that IN 39713 4416 24 every every DT 39713 4416 25 radioactive radioactive JJ 39713 4416 26 body body NN 39713 4416 27 was be VBD 39713 4416 28 an an DT 39713 4416 29 inexhaustible inexhaustible JJ 39713 4416 30 source source NN 39713 4416 31 of of IN 39713 4416 32 radiation radiation NN 39713 4416 33 . . . 39713 4417 1 Its -PRON- PRP$ 39713 4417 2 activity activity NN 39713 4417 3 seemed seem VBD 39713 4417 4 to to TO 39713 4417 5 subsist subsist VB 39713 4417 6 without without IN 39713 4417 7 alteration alteration NN 39713 4417 8 throughout throughout IN 39713 4417 9 the the DT 39713 4417 10 months month NNS 39713 4417 11 and and CC 39713 4417 12 the the DT 39713 4417 13 years year NNS 39713 4417 14 . . . 39713 4418 1 This this DT 39713 4418 2 was be VBD 39713 4418 3 in in IN 39713 4418 4 itself -PRON- PRP 39713 4418 5 a a DT 39713 4418 6 strain strain NN 39713 4418 7 on on IN 39713 4418 8 the the DT 39713 4418 9 principles principle NNS 39713 4418 10 ; ; : 39713 4418 11 these these DT 39713 4418 12 radiations radiation NNS 39713 4418 13 were be VBD 39713 4418 14 in in IN 39713 4418 15 fact fact NN 39713 4418 16 energy energy NN 39713 4418 17 , , , 39713 4418 18 and and CC 39713 4418 19 from from IN 39713 4418 20 the the DT 39713 4418 21 same same JJ 39713 4418 22 morsel morsel NN 39713 4418 23 of of IN 39713 4418 24 radium radium NN 39713 4418 25 this this DT 39713 4418 26 issued issue VBN 39713 4418 27 and and CC 39713 4418 28 forever forever RB 39713 4418 29 issued issue VBN 39713 4418 30 . . . 39713 4419 1 But but CC 39713 4419 2 these these DT 39713 4419 3 quantities quantity NNS 39713 4419 4 of of IN 39713 4419 5 energy energy NN 39713 4419 6 were be VBD 39713 4419 7 too too RB 39713 4419 8 slight slight JJ 39713 4419 9 to to TO 39713 4419 10 be be VB 39713 4419 11 measured measure VBN 39713 4419 12 ; ; : 39713 4419 13 at at IN 39713 4419 14 least least JJS 39713 4419 15 that that DT 39713 4419 16 was be VBD 39713 4419 17 the the DT 39713 4419 18 belief belief NN 39713 4419 19 and and CC 39713 4419 20 we -PRON- PRP 39713 4419 21 were be VBD 39713 4419 22 not not RB 39713 4419 23 much much RB 39713 4419 24 disquieted disquiet VBN 39713 4419 25 . . . 39713 4420 1 The the DT 39713 4420 2 scene scene NN 39713 4420 3 changed change VBD 39713 4420 4 when when WRB 39713 4420 5 Curie Curie NNP 39713 4420 6 bethought bethought VBP 39713 4420 7 himself -PRON- PRP 39713 4420 8 to to TO 39713 4420 9 put put VB 39713 4420 10 radium radium NN 39713 4420 11 in in IN 39713 4420 12 a a DT 39713 4420 13 calorimeter calorimeter NN 39713 4420 14 ; ; : 39713 4420 15 it -PRON- PRP 39713 4420 16 was be VBD 39713 4420 17 then then RB 39713 4420 18 seen see VBN 39713 4420 19 that that IN 39713 4420 20 the the DT 39713 4420 21 quantity quantity NN 39713 4420 22 of of IN 39713 4420 23 heat heat NN 39713 4420 24 incessantly incessantly RB 39713 4420 25 created create VBN 39713 4420 26 was be VBD 39713 4420 27 very very RB 39713 4420 28 notable notable JJ 39713 4420 29 . . . 39713 4421 1 The the DT 39713 4421 2 explanations explanation NNS 39713 4421 3 proposed propose VBN 39713 4421 4 were be VBD 39713 4421 5 numerous numerous JJ 39713 4421 6 ; ; : 39713 4421 7 but but CC 39713 4421 8 in in IN 39713 4421 9 such such JJ 39713 4421 10 case case NN 39713 4421 11 we -PRON- PRP 39713 4421 12 can can MD 39713 4421 13 not not RB 39713 4421 14 say say VB 39713 4421 15 , , , 39713 4421 16 the the DT 39713 4421 17 more more RBR 39713 4421 18 the the DT 39713 4421 19 better well JJR 39713 4421 20 . . . 39713 4422 1 In in IN 39713 4422 2 so so RB 39713 4422 3 far far RB 39713 4422 4 as as IN 39713 4422 5 no no DT 39713 4422 6 one one NN 39713 4422 7 of of IN 39713 4422 8 them -PRON- PRP 39713 4422 9 has have VBZ 39713 4422 10 prevailed prevail VBN 39713 4422 11 over over IN 39713 4422 12 the the DT 39713 4422 13 others other NNS 39713 4422 14 , , , 39713 4422 15 we -PRON- PRP 39713 4422 16 can can MD 39713 4422 17 not not RB 39713 4422 18 be be VB 39713 4422 19 sure sure JJ 39713 4422 20 there there EX 39713 4422 21 is be VBZ 39713 4422 22 a a DT 39713 4422 23 good good JJ 39713 4422 24 one one CD 39713 4422 25 among among IN 39713 4422 26 them -PRON- PRP 39713 4422 27 . . . 39713 4423 1 Since since IN 39713 4423 2 some some DT 39713 4423 3 time time NN 39713 4423 4 , , , 39713 4423 5 however however RB 39713 4423 6 , , , 39713 4423 7 one one CD 39713 4423 8 of of IN 39713 4423 9 these these DT 39713 4423 10 explanations explanation NNS 39713 4423 11 seems seem VBZ 39713 4423 12 to to TO 39713 4423 13 be be VB 39713 4423 14 getting get VBG 39713 4423 15 the the DT 39713 4423 16 upper upper JJ 39713 4423 17 hand hand NN 39713 4423 18 and and CC 39713 4423 19 we -PRON- PRP 39713 4423 20 may may MD 39713 4423 21 reasonably reasonably RB 39713 4423 22 hope hope VB 39713 4423 23 that that IN 39713 4423 24 we -PRON- PRP 39713 4423 25 hold hold VBP 39713 4423 26 the the DT 39713 4423 27 key key NN 39713 4423 28 to to IN 39713 4423 29 the the DT 39713 4423 30 mystery mystery NN 39713 4423 31 . . . 39713 4424 1 Sir Sir NNP 39713 4424 2 W. W. NNP 39713 4424 3 Ramsay Ramsay NNP 39713 4424 4 has have VBZ 39713 4424 5 striven strive VBN 39713 4424 6 to to TO 39713 4424 7 show show VB 39713 4424 8 that that IN 39713 4424 9 radium radium NN 39713 4424 10 is be VBZ 39713 4424 11 in in IN 39713 4424 12 process process NN 39713 4424 13 of of IN 39713 4424 14 transformation transformation NN 39713 4424 15 , , , 39713 4424 16 that that IN 39713 4424 17 it -PRON- PRP 39713 4424 18 contains contain VBZ 39713 4424 19 a a DT 39713 4424 20 store store NN 39713 4424 21 of of IN 39713 4424 22 energy energy NN 39713 4424 23 enormous enormous JJ 39713 4424 24 but but CC 39713 4424 25 not not RB 39713 4424 26 inexhaustible inexhaustible JJ 39713 4424 27 . . . 39713 4425 1 The the DT 39713 4425 2 transformation transformation NN 39713 4425 3 of of IN 39713 4425 4 radium radium NN 39713 4425 5 then then RB 39713 4425 6 would would MD 39713 4425 7 produce produce VB 39713 4425 8 a a DT 39713 4425 9 million million CD 39713 4425 10 times time NNS 39713 4425 11 more more JJR 39713 4425 12 heat heat NN 39713 4425 13 than than IN 39713 4425 14 all all DT 39713 4425 15 known know VBN 39713 4425 16 transformations transformation NNS 39713 4425 17 ; ; : 39713 4425 18 radium radium NN 39713 4425 19 would would MD 39713 4425 20 wear wear VB 39713 4425 21 itself -PRON- PRP 39713 4425 22 out out RP 39713 4425 23 in in IN 39713 4425 24 1,250 1,250 CD 39713 4425 25 years year NNS 39713 4425 26 ; ; : 39713 4425 27 this this DT 39713 4425 28 is be VBZ 39713 4425 29 quite quite RB 39713 4425 30 short short JJ 39713 4425 31 , , , 39713 4425 32 and and CC 39713 4425 33 you -PRON- PRP 39713 4425 34 see see VBP 39713 4425 35 that that IN 39713 4425 36 we -PRON- PRP 39713 4425 37 are be VBP 39713 4425 38 at at IN 39713 4425 39 least least JJS 39713 4425 40 certain certain JJ 39713 4425 41 to to TO 39713 4425 42 have have VB 39713 4425 43 this this DT 39713 4425 44 point point NN 39713 4425 45 settled settle VBD 39713 4425 46 some some DT 39713 4425 47 hundreds hundred NNS 39713 4425 48 of of IN 39713 4425 49 years year NNS 39713 4425 50 from from IN 39713 4425 51 now now RB 39713 4425 52 . . . 39713 4426 1 While while IN 39713 4426 2 waiting wait VBG 39713 4426 3 , , , 39713 4426 4 our -PRON- PRP$ 39713 4426 5 doubts doubt NNS 39713 4426 6 remain remain VBP 39713 4426 7 . . . 39713 4427 1 CHAPTER CHAPTER NNP 39713 4427 2 IX IX NNP 39713 4427 3 THE the DT 39713 4427 4 FUTURE future NN 39713 4427 5 OF of IN 39713 4427 6 MATHEMATICAL MATHEMATICAL NNP 39713 4427 7 PHYSICS PHYSICS NNP 39713 4427 8 _ _ NNP 39713 4427 9 The the DT 39713 4427 10 Principles Principles NNPS 39713 4427 11 and and CC 39713 4427 12 Experiment._--In experiment._--in VB 39713 4427 13 the the DT 39713 4427 14 midst midst NN 39713 4427 15 of of IN 39713 4427 16 so so RB 39713 4427 17 much much JJ 39713 4427 18 ruin ruin NN 39713 4427 19 , , , 39713 4427 20 what what WP 39713 4427 21 remains remain VBZ 39713 4427 22 standing stand VBG 39713 4427 23 ? ? . 39713 4428 1 The the DT 39713 4428 2 principle principle NN 39713 4428 3 of of IN 39713 4428 4 least least JJS 39713 4428 5 action action NN 39713 4428 6 is be VBZ 39713 4428 7 hitherto hitherto VBN 39713 4428 8 intact intact JJ 39713 4428 9 , , , 39713 4428 10 and and CC 39713 4428 11 Larmor Larmor NNP 39713 4428 12 appears appear VBZ 39713 4428 13 to to TO 39713 4428 14 believe believe VB 39713 4428 15 that that IN 39713 4428 16 it -PRON- PRP 39713 4428 17 will will MD 39713 4428 18 long long RB 39713 4428 19 survive survive VB 39713 4428 20 the the DT 39713 4428 21 others other NNS 39713 4428 22 ; ; : 39713 4428 23 in in IN 39713 4428 24 reality reality NN 39713 4428 25 , , , 39713 4428 26 it -PRON- PRP 39713 4428 27 is be VBZ 39713 4428 28 still still RB 39713 4428 29 more more RBR 39713 4428 30 vague vague JJ 39713 4428 31 and and CC 39713 4428 32 more more RBR 39713 4428 33 general general JJ 39713 4428 34 . . . 39713 4429 1 In in IN 39713 4429 2 presence presence NN 39713 4429 3 of of IN 39713 4429 4 this this DT 39713 4429 5 general general JJ 39713 4429 6 collapse collapse NN 39713 4429 7 of of IN 39713 4429 8 the the DT 39713 4429 9 principles principle NNS 39713 4429 10 , , , 39713 4429 11 what what WDT 39713 4429 12 attitude attitude NN 39713 4429 13 will will MD 39713 4429 14 mathematical mathematical JJ 39713 4429 15 physics physics NN 39713 4429 16 take take VB 39713 4429 17 ? ? . 39713 4430 1 And and CC 39713 4430 2 first first RB 39713 4430 3 , , , 39713 4430 4 before before IN 39713 4430 5 too too RB 39713 4430 6 much much JJ 39713 4430 7 excitement excitement NN 39713 4430 8 , , , 39713 4430 9 it -PRON- PRP 39713 4430 10 is be VBZ 39713 4430 11 proper proper JJ 39713 4430 12 to to TO 39713 4430 13 ask ask VB 39713 4430 14 if if IN 39713 4430 15 all all DT 39713 4430 16 that that WDT 39713 4430 17 is be VBZ 39713 4430 18 really really RB 39713 4430 19 true true JJ 39713 4430 20 . . . 39713 4431 1 All all PDT 39713 4431 2 these these DT 39713 4431 3 derogations derogation NNS 39713 4431 4 to to IN 39713 4431 5 the the DT 39713 4431 6 principles principle NNS 39713 4431 7 are be VBP 39713 4431 8 encountered encounter VBN 39713 4431 9 only only RB 39713 4431 10 among among IN 39713 4431 11 infinitesimals infinitesimal NNS 39713 4431 12 ; ; : 39713 4431 13 the the DT 39713 4431 14 microscope microscope NN 39713 4431 15 is be VBZ 39713 4431 16 necessary necessary JJ 39713 4431 17 to to TO 39713 4431 18 see see VB 39713 4431 19 the the DT 39713 4431 20 Brownian brownian JJ 39713 4431 21 movement movement NN 39713 4431 22 ; ; : 39713 4431 23 electrons electron NNS 39713 4431 24 are be VBP 39713 4431 25 very very RB 39713 4431 26 light light JJ 39713 4431 27 ; ; : 39713 4431 28 radium radium NN 39713 4431 29 is be VBZ 39713 4431 30 very very RB 39713 4431 31 rare rare JJ 39713 4431 32 , , , 39713 4431 33 and and CC 39713 4431 34 one one NN 39713 4431 35 never never RB 39713 4431 36 has have VBZ 39713 4431 37 more more JJR 39713 4431 38 than than IN 39713 4431 39 some some DT 39713 4431 40 milligrams milligram NNS 39713 4431 41 of of IN 39713 4431 42 it -PRON- PRP 39713 4431 43 at at IN 39713 4431 44 a a DT 39713 4431 45 time time NN 39713 4431 46 . . . 39713 4432 1 And and CC 39713 4432 2 , , , 39713 4432 3 then then RB 39713 4432 4 , , , 39713 4432 5 it -PRON- PRP 39713 4432 6 may may MD 39713 4432 7 be be VB 39713 4432 8 asked ask VBN 39713 4432 9 whether whether IN 39713 4432 10 , , , 39713 4432 11 besides besides IN 39713 4432 12 the the DT 39713 4432 13 infinitesimal infinitesimal NN 39713 4432 14 seen see VBN 39713 4432 15 , , , 39713 4432 16 there there EX 39713 4432 17 was be VBD 39713 4432 18 not not RB 39713 4432 19 another another DT 39713 4432 20 infinitesimal infinitesimal JJ 39713 4432 21 unseen unseen JJ 39713 4432 22 counterpoise counterpoise NN 39713 4432 23 to to IN 39713 4432 24 the the DT 39713 4432 25 first first JJ 39713 4432 26 . . . 39713 4433 1 So so CC 39713 4433 2 there there EX 39713 4433 3 is be VBZ 39713 4433 4 an an DT 39713 4433 5 interlocutory interlocutory JJ 39713 4433 6 question question NN 39713 4433 7 , , , 39713 4433 8 and and CC 39713 4433 9 , , , 39713 4433 10 as as IN 39713 4433 11 it -PRON- PRP 39713 4433 12 seems seem VBZ 39713 4433 13 , , , 39713 4433 14 only only RB 39713 4433 15 experiment experiment NN 39713 4433 16 can can MD 39713 4433 17 solve solve VB 39713 4433 18 it -PRON- PRP 39713 4433 19 . . . 39713 4434 1 We -PRON- PRP 39713 4434 2 shall shall MD 39713 4434 3 , , , 39713 4434 4 therefore therefore RB 39713 4434 5 , , , 39713 4434 6 only only RB 39713 4434 7 have have VBP 39713 4434 8 to to TO 39713 4434 9 hand hand VB 39713 4434 10 over over RP 39713 4434 11 the the DT 39713 4434 12 matter matter NN 39713 4434 13 to to IN 39713 4434 14 the the DT 39713 4434 15 experimenters experimenter NNS 39713 4434 16 , , , 39713 4434 17 and and CC 39713 4434 18 , , , 39713 4434 19 while while IN 39713 4434 20 waiting wait VBG 39713 4434 21 for for IN 39713 4434 22 them -PRON- PRP 39713 4434 23 to to TO 39713 4434 24 finally finally RB 39713 4434 25 decide decide VB 39713 4434 26 the the DT 39713 4434 27 debate debate NN 39713 4434 28 , , , 39713 4434 29 not not RB 39713 4434 30 to to TO 39713 4434 31 preoccupy preoccupy VB 39713 4434 32 ourselves -PRON- PRP 39713 4434 33 with with IN 39713 4434 34 these these DT 39713 4434 35 disquieting disquieting JJ 39713 4434 36 problems problem NNS 39713 4434 37 , , , 39713 4434 38 and and CC 39713 4434 39 to to TO 39713 4434 40 tranquilly tranquilly RB 39713 4434 41 continue continue VB 39713 4434 42 our -PRON- PRP$ 39713 4434 43 work work NN 39713 4434 44 as as IN 39713 4434 45 if if IN 39713 4434 46 the the DT 39713 4434 47 principles principle NNS 39713 4434 48 were be VBD 39713 4434 49 still still RB 39713 4434 50 uncontested uncontested JJ 39713 4434 51 . . . 39713 4435 1 Certes certe NNS 39713 4435 2 , , , 39713 4435 3 we -PRON- PRP 39713 4435 4 have have VBP 39713 4435 5 much much JJ 39713 4435 6 to to TO 39713 4435 7 do do VB 39713 4435 8 without without IN 39713 4435 9 leaving leave VBG 39713 4435 10 the the DT 39713 4435 11 domain domain NN 39713 4435 12 where where WRB 39713 4435 13 they -PRON- PRP 39713 4435 14 may may MD 39713 4435 15 be be VB 39713 4435 16 applied apply VBN 39713 4435 17 in in IN 39713 4435 18 all all DT 39713 4435 19 security security NN 39713 4435 20 ; ; : 39713 4435 21 we -PRON- PRP 39713 4435 22 have have VBP 39713 4435 23 enough enough NN 39713 4435 24 to to TO 39713 4435 25 employ employ VB 39713 4435 26 our -PRON- PRP$ 39713 4435 27 activity activity NN 39713 4435 28 during during IN 39713 4435 29 this this DT 39713 4435 30 period period NN 39713 4435 31 of of IN 39713 4435 32 doubts doubt NNS 39713 4435 33 . . . 39713 4436 1 _ _ NNP 39713 4436 2 The the DT 39713 4436 3 Rôle Rôle NNP 39713 4436 4 of of IN 39713 4436 5 the the DT 39713 4436 6 Analyst._--And analyst._--and XX 39713 4436 7 as as IN 39713 4436 8 to to IN 39713 4436 9 these these DT 39713 4436 10 doubts doubt NNS 39713 4436 11 , , , 39713 4436 12 is be VBZ 39713 4436 13 it -PRON- PRP 39713 4436 14 indeed indeed RB 39713 4436 15 true true JJ 39713 4436 16 that that IN 39713 4436 17 we -PRON- PRP 39713 4436 18 can can MD 39713 4436 19 do do VB 39713 4436 20 nothing nothing NN 39713 4436 21 to to TO 39713 4436 22 disembarrass disembarrass VB 39713 4436 23 science science NN 39713 4436 24 of of IN 39713 4436 25 them -PRON- PRP 39713 4436 26 ? ? . 39713 4437 1 It -PRON- PRP 39713 4437 2 must must MD 39713 4437 3 indeed indeed RB 39713 4437 4 be be VB 39713 4437 5 said say VBN 39713 4437 6 , , , 39713 4437 7 it -PRON- PRP 39713 4437 8 is be VBZ 39713 4437 9 not not RB 39713 4437 10 alone alone JJ 39713 4437 11 experimental experimental JJ 39713 4437 12 physics physic NNS 39713 4437 13 that that WDT 39713 4437 14 has have VBZ 39713 4437 15 given give VBN 39713 4437 16 birth birth NN 39713 4437 17 to to IN 39713 4437 18 them -PRON- PRP 39713 4437 19 ; ; : 39713 4437 20 mathematical mathematical JJ 39713 4437 21 physics physics NN 39713 4437 22 has have VBZ 39713 4437 23 well well RB 39713 4437 24 contributed contribute VBN 39713 4437 25 . . . 39713 4438 1 It -PRON- PRP 39713 4438 2 is be VBZ 39713 4438 3 the the DT 39713 4438 4 experimenters experimenter NNS 39713 4438 5 who who WP 39713 4438 6 have have VBP 39713 4438 7 seen see VBN 39713 4438 8 radium radium NN 39713 4438 9 throw throw VB 39713 4438 10 out out RP 39713 4438 11 energy energy NN 39713 4438 12 , , , 39713 4438 13 but but CC 39713 4438 14 it -PRON- PRP 39713 4438 15 is be VBZ 39713 4438 16 the the DT 39713 4438 17 theorists theorist NNS 39713 4438 18 who who WP 39713 4438 19 have have VBP 39713 4438 20 put put VBN 39713 4438 21 in in IN 39713 4438 22 evidence evidence NN 39713 4438 23 all all PDT 39713 4438 24 the the DT 39713 4438 25 difficulties difficulty NNS 39713 4438 26 raised raise VBN 39713 4438 27 by by IN 39713 4438 28 the the DT 39713 4438 29 propagation propagation NN 39713 4438 30 of of IN 39713 4438 31 light light NN 39713 4438 32 across across IN 39713 4438 33 a a DT 39713 4438 34 medium medium NN 39713 4438 35 in in IN 39713 4438 36 motion motion NN 39713 4438 37 ; ; : 39713 4438 38 but but CC 39713 4438 39 for for IN 39713 4438 40 these these DT 39713 4438 41 it -PRON- PRP 39713 4438 42 is be VBZ 39713 4438 43 probable probable JJ 39713 4438 44 we -PRON- PRP 39713 4438 45 should should MD 39713 4438 46 not not RB 39713 4438 47 have have VB 39713 4438 48 become become VBN 39713 4438 49 conscious conscious JJ 39713 4438 50 of of IN 39713 4438 51 them -PRON- PRP 39713 4438 52 . . . 39713 4439 1 Well well UH 39713 4439 2 , , , 39713 4439 3 then then RB 39713 4439 4 , , , 39713 4439 5 if if IN 39713 4439 6 they -PRON- PRP 39713 4439 7 have have VBP 39713 4439 8 done do VBN 39713 4439 9 their -PRON- PRP$ 39713 4439 10 best good JJS 39713 4439 11 to to TO 39713 4439 12 put put VB 39713 4439 13 us -PRON- PRP 39713 4439 14 into into IN 39713 4439 15 this this DT 39713 4439 16 embarrassment embarrassment NN 39713 4439 17 , , , 39713 4439 18 it -PRON- PRP 39713 4439 19 is be VBZ 39713 4439 20 proper proper JJ 39713 4439 21 also also RB 39713 4439 22 that that IN 39713 4439 23 they -PRON- PRP 39713 4439 24 help help VBP 39713 4439 25 us -PRON- PRP 39713 4439 26 to to TO 39713 4439 27 get get VB 39713 4439 28 out out IN 39713 4439 29 of of IN 39713 4439 30 it -PRON- PRP 39713 4439 31 . . . 39713 4440 1 They -PRON- PRP 39713 4440 2 must must MD 39713 4440 3 subject subject VB 39713 4440 4 to to IN 39713 4440 5 critical critical JJ 39713 4440 6 examination examination NN 39713 4440 7 all all PDT 39713 4440 8 these these DT 39713 4440 9 new new JJ 39713 4440 10 views view NNS 39713 4440 11 I -PRON- PRP 39713 4440 12 have have VBP 39713 4440 13 just just RB 39713 4440 14 outlined outline VBN 39713 4440 15 before before IN 39713 4440 16 you -PRON- PRP 39713 4440 17 , , , 39713 4440 18 and and CC 39713 4440 19 abandon abandon VB 39713 4440 20 the the DT 39713 4440 21 principles principle NNS 39713 4440 22 only only RB 39713 4440 23 after after IN 39713 4440 24 having have VBG 39713 4440 25 made make VBN 39713 4440 26 a a DT 39713 4440 27 loyal loyal JJ 39713 4440 28 effort effort NN 39713 4440 29 to to TO 39713 4440 30 save save VB 39713 4440 31 them -PRON- PRP 39713 4440 32 . . . 39713 4441 1 What what WP 39713 4441 2 can can MD 39713 4441 3 they -PRON- PRP 39713 4441 4 do do VB 39713 4441 5 in in IN 39713 4441 6 this this DT 39713 4441 7 sense sense NN 39713 4441 8 ? ? . 39713 4442 1 That that DT 39713 4442 2 is be VBZ 39713 4442 3 what what WP 39713 4442 4 I -PRON- PRP 39713 4442 5 will will MD 39713 4442 6 try try VB 39713 4442 7 to to TO 39713 4442 8 explain explain VB 39713 4442 9 . . . 39713 4443 1 It -PRON- PRP 39713 4443 2 is be VBZ 39713 4443 3 a a DT 39713 4443 4 question question NN 39713 4443 5 before before IN 39713 4443 6 all all DT 39713 4443 7 of of IN 39713 4443 8 endeavoring endeavor VBG 39713 4443 9 to to TO 39713 4443 10 obtain obtain VB 39713 4443 11 a a DT 39713 4443 12 more more RBR 39713 4443 13 satisfactory satisfactory JJ 39713 4443 14 theory theory NN 39713 4443 15 of of IN 39713 4443 16 the the DT 39713 4443 17 electrodynamics electrodynamic NNS 39713 4443 18 of of IN 39713 4443 19 bodies body NNS 39713 4443 20 in in IN 39713 4443 21 motion motion NN 39713 4443 22 . . . 39713 4444 1 It -PRON- PRP 39713 4444 2 is be VBZ 39713 4444 3 there there EX 39713 4444 4 especially especially RB 39713 4444 5 , , , 39713 4444 6 as as IN 39713 4444 7 I -PRON- PRP 39713 4444 8 have have VBP 39713 4444 9 sufficiently sufficiently RB 39713 4444 10 shown show VBN 39713 4444 11 above above RB 39713 4444 12 , , , 39713 4444 13 that that IN 39713 4444 14 difficulties difficulty NNS 39713 4444 15 accumulate accumulate VBP 39713 4444 16 . . . 39713 4445 1 It -PRON- PRP 39713 4445 2 is be VBZ 39713 4445 3 useless useless JJ 39713 4445 4 to to TO 39713 4445 5 heap heap VB 39713 4445 6 up up RP 39713 4445 7 hypotheses hypothesis NNS 39713 4445 8 , , , 39713 4445 9 we -PRON- PRP 39713 4445 10 can can MD 39713 4445 11 not not RB 39713 4445 12 satisfy satisfy VB 39713 4445 13 all all PDT 39713 4445 14 the the DT 39713 4445 15 principles principle NNS 39713 4445 16 at at IN 39713 4445 17 once once RB 39713 4445 18 ; ; : 39713 4445 19 so so RB 39713 4445 20 far far RB 39713 4445 21 , , , 39713 4445 22 one one PRP 39713 4445 23 has have VBZ 39713 4445 24 succeeded succeed VBN 39713 4445 25 in in IN 39713 4445 26 safeguarding safeguard VBG 39713 4445 27 some some DT 39713 4445 28 only only RB 39713 4445 29 on on IN 39713 4445 30 condition condition NN 39713 4445 31 of of IN 39713 4445 32 sacrificing sacrifice VBG 39713 4445 33 the the DT 39713 4445 34 others other NNS 39713 4445 35 ; ; : 39713 4445 36 but but CC 39713 4445 37 all all DT 39713 4445 38 hope hope NN 39713 4445 39 of of IN 39713 4445 40 obtaining obtain VBG 39713 4445 41 better well JJR 39713 4445 42 results result NNS 39713 4445 43 is be VBZ 39713 4445 44 not not RB 39713 4445 45 yet yet RB 39713 4445 46 lost lose VBN 39713 4445 47 . . . 39713 4446 1 Let let VB 39713 4446 2 us -PRON- PRP 39713 4446 3 take take VB 39713 4446 4 , , , 39713 4446 5 then then RB 39713 4446 6 , , , 39713 4446 7 the the DT 39713 4446 8 theory theory NN 39713 4446 9 of of IN 39713 4446 10 Lorentz Lorentz NNP 39713 4446 11 , , , 39713 4446 12 turn turn VB 39713 4446 13 it -PRON- PRP 39713 4446 14 in in IN 39713 4446 15 all all DT 39713 4446 16 senses sense NNS 39713 4446 17 , , , 39713 4446 18 modify modify VB 39713 4446 19 it -PRON- PRP 39713 4446 20 little little JJ 39713 4446 21 by by IN 39713 4446 22 little little JJ 39713 4446 23 , , , 39713 4446 24 and and CC 39713 4446 25 perhaps perhaps RB 39713 4446 26 everything everything NN 39713 4446 27 will will MD 39713 4446 28 arrange arrange VB 39713 4446 29 itself -PRON- PRP 39713 4446 30 . . . 39713 4447 1 Thus thus RB 39713 4447 2 in in IN 39713 4447 3 place place NN 39713 4447 4 of of IN 39713 4447 5 supposing suppose VBG 39713 4447 6 that that IN 39713 4447 7 bodies body NNS 39713 4447 8 in in IN 39713 4447 9 motion motion NN 39713 4447 10 undergo undergo VBP 39713 4447 11 a a DT 39713 4447 12 contraction contraction NN 39713 4447 13 in in IN 39713 4447 14 the the DT 39713 4447 15 sense sense NN 39713 4447 16 of of IN 39713 4447 17 the the DT 39713 4447 18 motion motion NN 39713 4447 19 , , , 39713 4447 20 and and CC 39713 4447 21 that that IN 39713 4447 22 this this DT 39713 4447 23 contraction contraction NN 39713 4447 24 is be VBZ 39713 4447 25 the the DT 39713 4447 26 same same JJ 39713 4447 27 whatever whatever WDT 39713 4447 28 be be VB 39713 4447 29 the the DT 39713 4447 30 nature nature NN 39713 4447 31 of of IN 39713 4447 32 these these DT 39713 4447 33 bodies body NNS 39713 4447 34 and and CC 39713 4447 35 the the DT 39713 4447 36 forces force NNS 39713 4447 37 to to TO 39713 4447 38 which which WDT 39713 4447 39 they -PRON- PRP 39713 4447 40 are be VBP 39713 4447 41 otherwise otherwise RB 39713 4447 42 subjected subject VBN 39713 4447 43 , , , 39713 4447 44 could could MD 39713 4447 45 we -PRON- PRP 39713 4447 46 not not RB 39713 4447 47 make make VB 39713 4447 48 a a DT 39713 4447 49 more more RBR 39713 4447 50 simple simple JJ 39713 4447 51 and and CC 39713 4447 52 natural natural JJ 39713 4447 53 hypothesis hypothesis NN 39713 4447 54 ? ? . 39713 4448 1 We -PRON- PRP 39713 4448 2 might may MD 39713 4448 3 imagine imagine VB 39713 4448 4 , , , 39713 4448 5 for for IN 39713 4448 6 example example NN 39713 4448 7 , , , 39713 4448 8 that that IN 39713 4448 9 it -PRON- PRP 39713 4448 10 is be VBZ 39713 4448 11 the the DT 39713 4448 12 ether ether NN 39713 4448 13 which which WDT 39713 4448 14 is be VBZ 39713 4448 15 modified modify VBN 39713 4448 16 when when WRB 39713 4448 17 it -PRON- PRP 39713 4448 18 is be VBZ 39713 4448 19 in in IN 39713 4448 20 relative relative JJ 39713 4448 21 motion motion NN 39713 4448 22 in in IN 39713 4448 23 reference reference NN 39713 4448 24 to to IN 39713 4448 25 the the DT 39713 4448 26 material material JJ 39713 4448 27 medium medium NN 39713 4448 28 which which WDT 39713 4448 29 penetrates penetrate VBZ 39713 4448 30 it -PRON- PRP 39713 4448 31 , , , 39713 4448 32 that that IN 39713 4448 33 , , , 39713 4448 34 when when WRB 39713 4448 35 it -PRON- PRP 39713 4448 36 is be VBZ 39713 4448 37 thus thus RB 39713 4448 38 modified modify VBN 39713 4448 39 , , , 39713 4448 40 it -PRON- PRP 39713 4448 41 no no RB 39713 4448 42 longer long RBR 39713 4448 43 transmits transmit VBZ 39713 4448 44 perturbations perturbation NNS 39713 4448 45 with with IN 39713 4448 46 the the DT 39713 4448 47 same same JJ 39713 4448 48 velocity velocity NN 39713 4448 49 in in IN 39713 4448 50 every every DT 39713 4448 51 direction direction NN 39713 4448 52 . . . 39713 4449 1 It -PRON- PRP 39713 4449 2 might may MD 39713 4449 3 transmit transmit VB 39713 4449 4 more more RBR 39713 4449 5 rapidly rapidly RB 39713 4449 6 those those DT 39713 4449 7 which which WDT 39713 4449 8 are be VBP 39713 4449 9 propagated propagate VBN 39713 4449 10 parallel parallel JJ 39713 4449 11 to to IN 39713 4449 12 the the DT 39713 4449 13 motion motion NN 39713 4449 14 of of IN 39713 4449 15 the the DT 39713 4449 16 medium medium NN 39713 4449 17 , , , 39713 4449 18 whether whether IN 39713 4449 19 in in IN 39713 4449 20 the the DT 39713 4449 21 same same JJ 39713 4449 22 sense sense NN 39713 4449 23 or or CC 39713 4449 24 in in IN 39713 4449 25 the the DT 39713 4449 26 opposite opposite JJ 39713 4449 27 sense sense NN 39713 4449 28 , , , 39713 4449 29 and and CC 39713 4449 30 less less RBR 39713 4449 31 rapidly rapidly RB 39713 4449 32 those those DT 39713 4449 33 which which WDT 39713 4449 34 are be VBP 39713 4449 35 propagated propagate VBN 39713 4449 36 perpendicularly perpendicularly RB 39713 4449 37 . . . 39713 4450 1 The the DT 39713 4450 2 wave wave NN 39713 4450 3 surfaces surface NNS 39713 4450 4 would would MD 39713 4450 5 no no RB 39713 4450 6 longer longer RB 39713 4450 7 be be VB 39713 4450 8 spheres sphere NNS 39713 4450 9 , , , 39713 4450 10 but but CC 39713 4450 11 ellipsoids ellipsoid NNS 39713 4450 12 , , , 39713 4450 13 and and CC 39713 4450 14 we -PRON- PRP 39713 4450 15 could could MD 39713 4450 16 dispense dispense VB 39713 4450 17 with with IN 39713 4450 18 that that DT 39713 4450 19 extraordinary extraordinary JJ 39713 4450 20 contraction contraction NN 39713 4450 21 of of IN 39713 4450 22 all all DT 39713 4450 23 bodies body NNS 39713 4450 24 . . . 39713 4451 1 I -PRON- PRP 39713 4451 2 cite cite VBP 39713 4451 3 this this DT 39713 4451 4 only only RB 39713 4451 5 as as IN 39713 4451 6 an an DT 39713 4451 7 example example NN 39713 4451 8 , , , 39713 4451 9 since since IN 39713 4451 10 the the DT 39713 4451 11 modifications modification NNS 39713 4451 12 that that WDT 39713 4451 13 might may MD 39713 4451 14 be be VB 39713 4451 15 essayed essay VBN 39713 4451 16 would would MD 39713 4451 17 be be VB 39713 4451 18 evidently evidently RB 39713 4451 19 susceptible susceptible JJ 39713 4451 20 of of IN 39713 4451 21 infinite infinite JJ 39713 4451 22 variation variation NN 39713 4451 23 . . . 39713 4452 1 _ _ NNP 39713 4452 2 Aberration Aberration NNP 39713 4452 3 and and CC 39713 4452 4 Astronomy._--It astronomy._--it NN 39713 4452 5 is be VBZ 39713 4452 6 possible possible JJ 39713 4452 7 also also RB 39713 4452 8 that that IN 39713 4452 9 astronomy astronomy NN 39713 4452 10 may may MD 39713 4452 11 some some DT 39713 4452 12 day day NN 39713 4452 13 furnish furnish VB 39713 4452 14 us us NNP 39713 4452 15 data datum NNS 39713 4452 16 on on IN 39713 4452 17 this this DT 39713 4452 18 point point NN 39713 4452 19 ; ; : 39713 4452 20 she -PRON- PRP 39713 4452 21 it -PRON- PRP 39713 4452 22 was be VBD 39713 4452 23 in in IN 39713 4452 24 the the DT 39713 4452 25 main main NN 39713 4452 26 who who WP 39713 4452 27 raised raise VBD 39713 4452 28 the the DT 39713 4452 29 question question NN 39713 4452 30 in in IN 39713 4452 31 making make VBG 39713 4452 32 us -PRON- PRP 39713 4452 33 acquainted acquaint VBN 39713 4452 34 with with IN 39713 4452 35 the the DT 39713 4452 36 phenomenon phenomenon NN 39713 4452 37 of of IN 39713 4452 38 the the DT 39713 4452 39 aberration aberration NN 39713 4452 40 of of IN 39713 4452 41 light light NN 39713 4452 42 . . . 39713 4453 1 If if IN 39713 4453 2 we -PRON- PRP 39713 4453 3 make make VBP 39713 4453 4 crudely crudely RB 39713 4453 5 the the DT 39713 4453 6 theory theory NN 39713 4453 7 of of IN 39713 4453 8 aberration aberration NN 39713 4453 9 , , , 39713 4453 10 we -PRON- PRP 39713 4453 11 reach reach VBP 39713 4453 12 a a DT 39713 4453 13 very very RB 39713 4453 14 curious curious JJ 39713 4453 15 result result NN 39713 4453 16 . . . 39713 4454 1 The the DT 39713 4454 2 apparent apparent JJ 39713 4454 3 positions position NNS 39713 4454 4 of of IN 39713 4454 5 the the DT 39713 4454 6 stars star NNS 39713 4454 7 differ differ VBP 39713 4454 8 from from IN 39713 4454 9 their -PRON- PRP$ 39713 4454 10 real real JJ 39713 4454 11 positions position NNS 39713 4454 12 because because IN 39713 4454 13 of of IN 39713 4454 14 the the DT 39713 4454 15 earth earth NN 39713 4454 16 's 's POS 39713 4454 17 motion motion NN 39713 4454 18 , , , 39713 4454 19 and and CC 39713 4454 20 as as IN 39713 4454 21 this this DT 39713 4454 22 motion motion NN 39713 4454 23 is be VBZ 39713 4454 24 variable variable JJ 39713 4454 25 , , , 39713 4454 26 these these DT 39713 4454 27 apparent apparent JJ 39713 4454 28 positions position NNS 39713 4454 29 vary vary VBP 39713 4454 30 . . . 39713 4455 1 The the DT 39713 4455 2 real real JJ 39713 4455 3 position position NN 39713 4455 4 we -PRON- PRP 39713 4455 5 can can MD 39713 4455 6 not not RB 39713 4455 7 ascertain ascertain VB 39713 4455 8 , , , 39713 4455 9 but but CC 39713 4455 10 we -PRON- PRP 39713 4455 11 can can MD 39713 4455 12 observe observe VB 39713 4455 13 the the DT 39713 4455 14 variations variation NNS 39713 4455 15 of of IN 39713 4455 16 the the DT 39713 4455 17 apparent apparent JJ 39713 4455 18 position position NN 39713 4455 19 . . . 39713 4456 1 The the DT 39713 4456 2 observations observation NNS 39713 4456 3 of of IN 39713 4456 4 the the DT 39713 4456 5 aberration aberration NN 39713 4456 6 show show VBP 39713 4456 7 us -PRON- PRP 39713 4456 8 , , , 39713 4456 9 therefore therefore RB 39713 4456 10 , , , 39713 4456 11 not not RB 39713 4456 12 the the DT 39713 4456 13 earth earth NN 39713 4456 14 's 's POS 39713 4456 15 motion motion NN 39713 4456 16 , , , 39713 4456 17 but but CC 39713 4456 18 the the DT 39713 4456 19 variations variation NNS 39713 4456 20 of of IN 39713 4456 21 this this DT 39713 4456 22 motion motion NN 39713 4456 23 ; ; : 39713 4456 24 they -PRON- PRP 39713 4456 25 can can MD 39713 4456 26 not not RB 39713 4456 27 , , , 39713 4456 28 therefore therefore RB 39713 4456 29 , , , 39713 4456 30 give give VB 39713 4456 31 us -PRON- PRP 39713 4456 32 information information NN 39713 4456 33 about about IN 39713 4456 34 the the DT 39713 4456 35 absolute absolute JJ 39713 4456 36 motion motion NN 39713 4456 37 of of IN 39713 4456 38 the the DT 39713 4456 39 earth earth NN 39713 4456 40 . . . 39713 4457 1 At at IN 39713 4457 2 least least JJS 39713 4457 3 this this DT 39713 4457 4 is be VBZ 39713 4457 5 true true JJ 39713 4457 6 in in IN 39713 4457 7 first first JJ 39713 4457 8 approximation approximation NN 39713 4457 9 , , , 39713 4457 10 but but CC 39713 4457 11 the the DT 39713 4457 12 case case NN 39713 4457 13 would would MD 39713 4457 14 be be VB 39713 4457 15 no no RB 39713 4457 16 longer long RBR 39713 4457 17 the the DT 39713 4457 18 same same JJ 39713 4457 19 if if IN 39713 4457 20 we -PRON- PRP 39713 4457 21 could could MD 39713 4457 22 appreciate appreciate VB 39713 4457 23 the the DT 39713 4457 24 thousandths thousandth NNS 39713 4457 25 of of IN 39713 4457 26 a a DT 39713 4457 27 second second NN 39713 4457 28 . . . 39713 4458 1 Then then RB 39713 4458 2 it -PRON- PRP 39713 4458 3 would would MD 39713 4458 4 be be VB 39713 4458 5 seen see VBN 39713 4458 6 that that IN 39713 4458 7 the the DT 39713 4458 8 amplitude amplitude NN 39713 4458 9 of of IN 39713 4458 10 the the DT 39713 4458 11 oscillation oscillation NN 39713 4458 12 depends depend VBZ 39713 4458 13 not not RB 39713 4458 14 alone alone JJ 39713 4458 15 on on IN 39713 4458 16 the the DT 39713 4458 17 variation variation NN 39713 4458 18 of of IN 39713 4458 19 the the DT 39713 4458 20 motion motion NN 39713 4458 21 , , , 39713 4458 22 a a DT 39713 4458 23 variation variation NN 39713 4458 24 which which WDT 39713 4458 25 is be VBZ 39713 4458 26 well well RB 39713 4458 27 known know VBN 39713 4458 28 , , , 39713 4458 29 since since IN 39713 4458 30 it -PRON- PRP 39713 4458 31 is be VBZ 39713 4458 32 the the DT 39713 4458 33 motion motion NN 39713 4458 34 of of IN 39713 4458 35 our -PRON- PRP$ 39713 4458 36 globe globe NN 39713 4458 37 on on IN 39713 4458 38 its -PRON- PRP$ 39713 4458 39 elliptic elliptic JJ 39713 4458 40 orbit orbit NN 39713 4458 41 , , , 39713 4458 42 but but CC 39713 4458 43 on on IN 39713 4458 44 the the DT 39713 4458 45 mean mean JJ 39713 4458 46 value value NN 39713 4458 47 of of IN 39713 4458 48 this this DT 39713 4458 49 motion motion NN 39713 4458 50 , , , 39713 4458 51 so so IN 39713 4458 52 that that IN 39713 4458 53 the the DT 39713 4458 54 constant constant NN 39713 4458 55 of of IN 39713 4458 56 aberration aberration NN 39713 4458 57 would would MD 39713 4458 58 not not RB 39713 4458 59 be be VB 39713 4458 60 quite quite RB 39713 4458 61 the the DT 39713 4458 62 same same JJ 39713 4458 63 for for IN 39713 4458 64 all all PDT 39713 4458 65 the the DT 39713 4458 66 stars star NNS 39713 4458 67 , , , 39713 4458 68 and and CC 39713 4458 69 the the DT 39713 4458 70 differences difference NNS 39713 4458 71 would would MD 39713 4458 72 tell tell VB 39713 4458 73 us -PRON- PRP 39713 4458 74 the the DT 39713 4458 75 absolute absolute JJ 39713 4458 76 motion motion NN 39713 4458 77 of of IN 39713 4458 78 the the DT 39713 4458 79 earth earth NN 39713 4458 80 in in IN 39713 4458 81 space space NN 39713 4458 82 . . . 39713 4459 1 This this DT 39713 4459 2 , , , 39713 4459 3 then then RB 39713 4459 4 , , , 39713 4459 5 would would MD 39713 4459 6 be be VB 39713 4459 7 , , , 39713 4459 8 under under IN 39713 4459 9 another another DT 39713 4459 10 form form NN 39713 4459 11 , , , 39713 4459 12 the the DT 39713 4459 13 ruin ruin NN 39713 4459 14 of of IN 39713 4459 15 the the DT 39713 4459 16 principle principle NN 39713 4459 17 of of IN 39713 4459 18 relativity relativity NN 39713 4459 19 . . . 39713 4460 1 We -PRON- PRP 39713 4460 2 are be VBP 39713 4460 3 far far RB 39713 4460 4 , , , 39713 4460 5 it -PRON- PRP 39713 4460 6 is be VBZ 39713 4460 7 true true JJ 39713 4460 8 , , , 39713 4460 9 from from IN 39713 4460 10 appreciating appreciate VBG 39713 4460 11 the the DT 39713 4460 12 thousandth thousandth NN 39713 4460 13 of of IN 39713 4460 14 a a DT 39713 4460 15 second second JJ 39713 4460 16 , , , 39713 4460 17 but but CC 39713 4460 18 , , , 39713 4460 19 after after RB 39713 4460 20 all all RB 39713 4460 21 , , , 39713 4460 22 say say VB 39713 4460 23 some some DT 39713 4460 24 , , , 39713 4460 25 the the DT 39713 4460 26 earth earth NN 39713 4460 27 's 's POS 39713 4460 28 total total JJ 39713 4460 29 absolute absolute JJ 39713 4460 30 velocity velocity NN 39713 4460 31 is be VBZ 39713 4460 32 perhaps perhaps RB 39713 4460 33 much much RB 39713 4460 34 greater great JJR 39713 4460 35 than than IN 39713 4460 36 its -PRON- PRP$ 39713 4460 37 relative relative JJ 39713 4460 38 velocity velocity NN 39713 4460 39 with with IN 39713 4460 40 respect respect NN 39713 4460 41 to to IN 39713 4460 42 the the DT 39713 4460 43 sun sun NN 39713 4460 44 . . . 39713 4461 1 If if IN 39713 4461 2 , , , 39713 4461 3 for for IN 39713 4461 4 example example NN 39713 4461 5 , , , 39713 4461 6 it -PRON- PRP 39713 4461 7 were be VBD 39713 4461 8 300 300 CD 39713 4461 9 kilometers kilometer NNS 39713 4461 10 per per IN 39713 4461 11 second second NN 39713 4461 12 in in IN 39713 4461 13 place place NN 39713 4461 14 of of IN 39713 4461 15 30 30 CD 39713 4461 16 , , , 39713 4461 17 this this DT 39713 4461 18 would would MD 39713 4461 19 suffice suffice VB 39713 4461 20 to to TO 39713 4461 21 make make VB 39713 4461 22 the the DT 39713 4461 23 phenomenon phenomenon NN 39713 4461 24 observable observable JJ 39713 4461 25 . . . 39713 4462 1 I -PRON- PRP 39713 4462 2 believe believe VBP 39713 4462 3 that that IN 39713 4462 4 in in IN 39713 4462 5 reasoning reason VBG 39713 4462 6 thus thus RB 39713 4462 7 one one PRP 39713 4462 8 admits admit VBZ 39713 4462 9 a a DT 39713 4462 10 too too RB 39713 4462 11 simple simple JJ 39713 4462 12 theory theory NN 39713 4462 13 of of IN 39713 4462 14 aberration aberration NN 39713 4462 15 . . . 39713 4463 1 Michelson Michelson NNP 39713 4463 2 has have VBZ 39713 4463 3 shown show VBN 39713 4463 4 us -PRON- PRP 39713 4463 5 , , , 39713 4463 6 I -PRON- PRP 39713 4463 7 have have VBP 39713 4463 8 told tell VBN 39713 4463 9 you -PRON- PRP 39713 4463 10 , , , 39713 4463 11 that that IN 39713 4463 12 the the DT 39713 4463 13 physical physical JJ 39713 4463 14 procedures procedure NNS 39713 4463 15 are be VBP 39713 4463 16 powerless powerless JJ 39713 4463 17 to to TO 39713 4463 18 put put VB 39713 4463 19 in in IN 39713 4463 20 evidence evidence NN 39713 4463 21 absolute absolute JJ 39713 4463 22 motion motion NN 39713 4463 23 ; ; : 39713 4463 24 I -PRON- PRP 39713 4463 25 am be VBP 39713 4463 26 persuaded persuade VBN 39713 4463 27 that that IN 39713 4463 28 the the DT 39713 4463 29 same same JJ 39713 4463 30 will will MD 39713 4463 31 be be VB 39713 4463 32 true true JJ 39713 4463 33 of of IN 39713 4463 34 the the DT 39713 4463 35 astronomic astronomic JJ 39713 4463 36 procedures procedure NNS 39713 4463 37 , , , 39713 4463 38 however however RB 39713 4463 39 far far RB 39713 4463 40 precision precision NN 39713 4463 41 be be VB 39713 4463 42 carried carry VBN 39713 4463 43 . . . 39713 4464 1 However however RB 39713 4464 2 that that DT 39713 4464 3 may may MD 39713 4464 4 be be VB 39713 4464 5 , , , 39713 4464 6 the the DT 39713 4464 7 data datum NNS 39713 4464 8 astronomy astronomy NN 39713 4464 9 will will MD 39713 4464 10 furnish furnish VB 39713 4464 11 us -PRON- PRP 39713 4464 12 in in IN 39713 4464 13 this this DT 39713 4464 14 regard regard NN 39713 4464 15 will will MD 39713 4464 16 some some DT 39713 4464 17 day day NN 39713 4464 18 be be VB 39713 4464 19 precious precious JJ 39713 4464 20 to to IN 39713 4464 21 the the DT 39713 4464 22 physicist physicist NN 39713 4464 23 . . . 39713 4465 1 Meanwhile meanwhile RB 39713 4465 2 , , , 39713 4465 3 I -PRON- PRP 39713 4465 4 believe believe VBP 39713 4465 5 that that IN 39713 4465 6 the the DT 39713 4465 7 theorists theorist NNS 39713 4465 8 , , , 39713 4465 9 recalling recall VBG 39713 4465 10 the the DT 39713 4465 11 experience experience NN 39713 4465 12 of of IN 39713 4465 13 Michelson Michelson NNP 39713 4465 14 , , , 39713 4465 15 may may MD 39713 4465 16 anticipate anticipate VB 39713 4465 17 a a DT 39713 4465 18 negative negative JJ 39713 4465 19 result result NN 39713 4465 20 , , , 39713 4465 21 and and CC 39713 4465 22 that that IN 39713 4465 23 they -PRON- PRP 39713 4465 24 would would MD 39713 4465 25 accomplish accomplish VB 39713 4465 26 a a DT 39713 4465 27 useful useful JJ 39713 4465 28 work work NN 39713 4465 29 in in IN 39713 4465 30 constructing construct VBG 39713 4465 31 a a DT 39713 4465 32 theory theory NN 39713 4465 33 of of IN 39713 4465 34 aberration aberration NN 39713 4465 35 which which WDT 39713 4465 36 would would MD 39713 4465 37 explain explain VB 39713 4465 38 this this DT 39713 4465 39 in in IN 39713 4465 40 advance advance NN 39713 4465 41 . . . 39713 4466 1 _ _ NNP 39713 4466 2 Electrons Electrons NNPS 39713 4466 3 and and CC 39713 4466 4 Spectra._--This spectra._--this DT 39713 4466 5 dynamics dynamic NNS 39713 4466 6 of of IN 39713 4466 7 electrons electron NNS 39713 4466 8 can can MD 39713 4466 9 be be VB 39713 4466 10 approached approach VBN 39713 4466 11 from from IN 39713 4466 12 many many JJ 39713 4466 13 sides side NNS 39713 4466 14 , , , 39713 4466 15 but but CC 39713 4466 16 among among IN 39713 4466 17 the the DT 39713 4466 18 ways way NNS 39713 4466 19 leading lead VBG 39713 4466 20 thither thither NN 39713 4466 21 is be VBZ 39713 4466 22 one one CD 39713 4466 23 which which WDT 39713 4466 24 has have VBZ 39713 4466 25 been be VBN 39713 4466 26 somewhat somewhat RB 39713 4466 27 neglected neglect VBN 39713 4466 28 , , , 39713 4466 29 and and CC 39713 4466 30 yet yet RB 39713 4466 31 this this DT 39713 4466 32 is be VBZ 39713 4466 33 one one CD 39713 4466 34 of of IN 39713 4466 35 those those DT 39713 4466 36 which which WDT 39713 4466 37 promise promise VBP 39713 4466 38 us -PRON- PRP 39713 4466 39 the the DT 39713 4466 40 most most JJS 39713 4466 41 surprises surprise NNS 39713 4466 42 . . . 39713 4467 1 It -PRON- PRP 39713 4467 2 is be VBZ 39713 4467 3 movements movement NNS 39713 4467 4 of of IN 39713 4467 5 electrons electron NNS 39713 4467 6 which which WDT 39713 4467 7 produce produce VBP 39713 4467 8 the the DT 39713 4467 9 lines line NNS 39713 4467 10 of of IN 39713 4467 11 the the DT 39713 4467 12 emission emission NN 39713 4467 13 spectra spectra NN 39713 4467 14 ; ; : 39713 4467 15 this this DT 39713 4467 16 is be VBZ 39713 4467 17 proved prove VBN 39713 4467 18 by by IN 39713 4467 19 the the DT 39713 4467 20 Zeeman Zeeman NNP 39713 4467 21 effect effect NN 39713 4467 22 ; ; : 39713 4467 23 in in IN 39713 4467 24 an an DT 39713 4467 25 incandescent incandescent JJ 39713 4467 26 body body NN 39713 4467 27 what what WP 39713 4467 28 vibrates vibrate VBZ 39713 4467 29 is be VBZ 39713 4467 30 sensitive sensitive JJ 39713 4467 31 to to IN 39713 4467 32 the the DT 39713 4467 33 magnet magnet NN 39713 4467 34 , , , 39713 4467 35 therefore therefore RB 39713 4467 36 electrified electrify VBN 39713 4467 37 . . . 39713 4468 1 This this DT 39713 4468 2 is be VBZ 39713 4468 3 a a DT 39713 4468 4 very very RB 39713 4468 5 important important JJ 39713 4468 6 first first JJ 39713 4468 7 point point NN 39713 4468 8 , , , 39713 4468 9 but but CC 39713 4468 10 no no DT 39713 4468 11 one one NN 39713 4468 12 has have VBZ 39713 4468 13 gone go VBN 39713 4468 14 farther farther RB 39713 4468 15 . . . 39713 4469 1 Why why WRB 39713 4469 2 are be VBP 39713 4469 3 the the DT 39713 4469 4 lines line NNS 39713 4469 5 of of IN 39713 4469 6 the the DT 39713 4469 7 spectrum spectrum NN 39713 4469 8 distributed distribute VBN 39713 4469 9 in in IN 39713 4469 10 accordance accordance NN 39713 4469 11 with with IN 39713 4469 12 a a DT 39713 4469 13 regular regular JJ 39713 4469 14 law law NN 39713 4469 15 ? ? . 39713 4470 1 These these DT 39713 4470 2 laws law NNS 39713 4470 3 have have VBP 39713 4470 4 been be VBN 39713 4470 5 studied study VBN 39713 4470 6 by by IN 39713 4470 7 the the DT 39713 4470 8 experimenters experimenter NNS 39713 4470 9 in in IN 39713 4470 10 their -PRON- PRP$ 39713 4470 11 least least JJS 39713 4470 12 details detail NNS 39713 4470 13 ; ; : 39713 4470 14 they -PRON- PRP 39713 4470 15 are be VBP 39713 4470 16 very very RB 39713 4470 17 precise precise JJ 39713 4470 18 and and CC 39713 4470 19 comparatively comparatively RB 39713 4470 20 simple simple JJ 39713 4470 21 . . . 39713 4471 1 A a DT 39713 4471 2 first first JJ 39713 4471 3 study study NN 39713 4471 4 of of IN 39713 4471 5 these these DT 39713 4471 6 distributions distribution NNS 39713 4471 7 recalls recall VBZ 39713 4471 8 the the DT 39713 4471 9 harmonics harmonic NNS 39713 4471 10 encountered encounter VBN 39713 4471 11 in in IN 39713 4471 12 acoustics acoustic NNS 39713 4471 13 ; ; : 39713 4471 14 but but CC 39713 4471 15 the the DT 39713 4471 16 difference difference NN 39713 4471 17 is be VBZ 39713 4471 18 great great JJ 39713 4471 19 . . . 39713 4472 1 Not not RB 39713 4472 2 only only RB 39713 4472 3 are be VBP 39713 4472 4 the the DT 39713 4472 5 numbers number NNS 39713 4472 6 of of IN 39713 4472 7 vibrations vibration NNS 39713 4472 8 not not RB 39713 4472 9 the the DT 39713 4472 10 successive successive JJ 39713 4472 11 multiples multiple NNS 39713 4472 12 of of IN 39713 4472 13 a a DT 39713 4472 14 single single JJ 39713 4472 15 number number NN 39713 4472 16 , , , 39713 4472 17 but but CC 39713 4472 18 we -PRON- PRP 39713 4472 19 do do VBP 39713 4472 20 not not RB 39713 4472 21 even even RB 39713 4472 22 find find VB 39713 4472 23 anything anything NN 39713 4472 24 analogous analogous JJ 39713 4472 25 to to IN 39713 4472 26 the the DT 39713 4472 27 roots root NNS 39713 4472 28 of of IN 39713 4472 29 those those DT 39713 4472 30 transcendental transcendental JJ 39713 4472 31 equations equation NNS 39713 4472 32 to to TO 39713 4472 33 which which WDT 39713 4472 34 we -PRON- PRP 39713 4472 35 are be VBP 39713 4472 36 led lead VBN 39713 4472 37 by by IN 39713 4472 38 so so RB 39713 4472 39 many many JJ 39713 4472 40 problems problem NNS 39713 4472 41 of of IN 39713 4472 42 mathematical mathematical JJ 39713 4472 43 physics physics NN 39713 4472 44 : : : 39713 4472 45 that that DT 39713 4472 46 of of IN 39713 4472 47 the the DT 39713 4472 48 vibrations vibration NNS 39713 4472 49 of of IN 39713 4472 50 an an DT 39713 4472 51 elastic elastic JJ 39713 4472 52 body body NN 39713 4472 53 of of IN 39713 4472 54 any any DT 39713 4472 55 form form NN 39713 4472 56 , , , 39713 4472 57 that that DT 39713 4472 58 of of IN 39713 4472 59 the the DT 39713 4472 60 Hertzian hertzian JJ 39713 4472 61 oscillations oscillation NNS 39713 4472 62 in in IN 39713 4472 63 a a DT 39713 4472 64 generator generator NN 39713 4472 65 of of IN 39713 4472 66 any any DT 39713 4472 67 form form NN 39713 4472 68 , , , 39713 4472 69 the the DT 39713 4472 70 problem problem NN 39713 4472 71 of of IN 39713 4472 72 Fourier Fourier NNP 39713 4472 73 for for IN 39713 4472 74 the the DT 39713 4472 75 cooling cooling NN 39713 4472 76 of of IN 39713 4472 77 a a DT 39713 4472 78 solid solid JJ 39713 4472 79 body body NN 39713 4472 80 . . . 39713 4473 1 The the DT 39713 4473 2 laws law NNS 39713 4473 3 are be VBP 39713 4473 4 simpler simple JJR 39713 4473 5 , , , 39713 4473 6 but but CC 39713 4473 7 they -PRON- PRP 39713 4473 8 are be VBP 39713 4473 9 of of IN 39713 4473 10 wholly wholly RB 39713 4473 11 other other JJ 39713 4473 12 nature nature NN 39713 4473 13 , , , 39713 4473 14 and and CC 39713 4473 15 to to TO 39713 4473 16 cite cite VB 39713 4473 17 only only RB 39713 4473 18 one one CD 39713 4473 19 of of IN 39713 4473 20 these these DT 39713 4473 21 differences difference NNS 39713 4473 22 , , , 39713 4473 23 for for IN 39713 4473 24 the the DT 39713 4473 25 harmonics harmonic NNS 39713 4473 26 of of IN 39713 4473 27 high high JJ 39713 4473 28 order order NN 39713 4473 29 , , , 39713 4473 30 the the DT 39713 4473 31 number number NN 39713 4473 32 of of IN 39713 4473 33 vibrations vibration NNS 39713 4473 34 tends tend VBZ 39713 4473 35 toward toward IN 39713 4473 36 a a DT 39713 4473 37 finite finite JJ 39713 4473 38 limit limit NN 39713 4473 39 , , , 39713 4473 40 instead instead RB 39713 4473 41 of of IN 39713 4473 42 increasing increase VBG 39713 4473 43 indefinitely indefinitely RB 39713 4473 44 . . . 39713 4474 1 That that DT 39713 4474 2 has have VBZ 39713 4474 3 not not RB 39713 4474 4 yet yet RB 39713 4474 5 been be VBN 39713 4474 6 accounted account VBN 39713 4474 7 for for IN 39713 4474 8 , , , 39713 4474 9 and and CC 39713 4474 10 I -PRON- PRP 39713 4474 11 believe believe VBP 39713 4474 12 that that IN 39713 4474 13 there there RB 39713 4474 14 we -PRON- PRP 39713 4474 15 have have VBP 39713 4474 16 one one CD 39713 4474 17 of of IN 39713 4474 18 the the DT 39713 4474 19 most most RBS 39713 4474 20 important important JJ 39713 4474 21 secrets secret NNS 39713 4474 22 of of IN 39713 4474 23 nature nature NN 39713 4474 24 . . . 39713 4475 1 A a DT 39713 4475 2 Japanese japanese JJ 39713 4475 3 physicist physicist NN 39713 4475 4 , , , 39713 4475 5 M. M. NNP 39713 4475 6 Nagaoka Nagaoka NNP 39713 4475 7 , , , 39713 4475 8 has have VBZ 39713 4475 9 recently recently RB 39713 4475 10 proposed propose VBN 39713 4475 11 an an DT 39713 4475 12 explanation explanation NN 39713 4475 13 ; ; : 39713 4475 14 according accord VBG 39713 4475 15 to to IN 39713 4475 16 him -PRON- PRP 39713 4475 17 , , , 39713 4475 18 atoms atom NNS 39713 4475 19 are be VBP 39713 4475 20 composed compose VBN 39713 4475 21 of of IN 39713 4475 22 a a DT 39713 4475 23 large large JJ 39713 4475 24 positive positive JJ 39713 4475 25 electron electron NN 39713 4475 26 surrounded surround VBN 39713 4475 27 by by IN 39713 4475 28 a a DT 39713 4475 29 ring ring NN 39713 4475 30 formed form VBN 39713 4475 31 of of IN 39713 4475 32 a a DT 39713 4475 33 great great JJ 39713 4475 34 number number NN 39713 4475 35 of of IN 39713 4475 36 very very RB 39713 4475 37 small small JJ 39713 4475 38 negative negative JJ 39713 4475 39 electrons electron NNS 39713 4475 40 . . . 39713 4476 1 Such such JJ 39713 4476 2 is be VBZ 39713 4476 3 the the DT 39713 4476 4 planet planet NN 39713 4476 5 Saturn saturn VB 39713 4476 6 with with IN 39713 4476 7 its -PRON- PRP$ 39713 4476 8 rings ring NNS 39713 4476 9 . . . 39713 4477 1 This this DT 39713 4477 2 is be VBZ 39713 4477 3 a a DT 39713 4477 4 very very RB 39713 4477 5 interesting interesting JJ 39713 4477 6 attempt attempt NN 39713 4477 7 , , , 39713 4477 8 but but CC 39713 4477 9 not not RB 39713 4477 10 yet yet RB 39713 4477 11 wholly wholly RB 39713 4477 12 satisfactory satisfactory JJ 39713 4477 13 ; ; : 39713 4477 14 this this DT 39713 4477 15 attempt attempt NN 39713 4477 16 should should MD 39713 4477 17 be be VB 39713 4477 18 renewed renew VBN 39713 4477 19 . . . 39713 4478 1 We -PRON- PRP 39713 4478 2 will will MD 39713 4478 3 penetrate penetrate VB 39713 4478 4 , , , 39713 4478 5 so so RB 39713 4478 6 to to TO 39713 4478 7 speak speak VB 39713 4478 8 , , , 39713 4478 9 into into IN 39713 4478 10 the the DT 39713 4478 11 inmost inmost JJ 39713 4478 12 recess recess NN 39713 4478 13 of of IN 39713 4478 14 matter matter NN 39713 4478 15 . . . 39713 4479 1 And and CC 39713 4479 2 from from IN 39713 4479 3 the the DT 39713 4479 4 particular particular JJ 39713 4479 5 point point NN 39713 4479 6 of of IN 39713 4479 7 view view NN 39713 4479 8 which which WDT 39713 4479 9 we -PRON- PRP 39713 4479 10 to to IN 39713 4479 11 - - HYPH 39713 4479 12 day day NN 39713 4479 13 occupy occupy NN 39713 4479 14 , , , 39713 4479 15 when when WRB 39713 4479 16 we -PRON- PRP 39713 4479 17 know know VBP 39713 4479 18 why why WRB 39713 4479 19 the the DT 39713 4479 20 vibrations vibration NNS 39713 4479 21 of of IN 39713 4479 22 incandescent incandescent JJ 39713 4479 23 bodies body NNS 39713 4479 24 differ differ VBP 39713 4479 25 thus thus RB 39713 4479 26 from from IN 39713 4479 27 ordinary ordinary JJ 39713 4479 28 elastic elastic JJ 39713 4479 29 vibrations vibration NNS 39713 4479 30 , , , 39713 4479 31 why why WRB 39713 4479 32 the the DT 39713 4479 33 electrons electron NNS 39713 4479 34 do do VBP 39713 4479 35 not not RB 39713 4479 36 behave behave VB 39713 4479 37 like like UH 39713 4479 38 the the DT 39713 4479 39 matter matter NN 39713 4479 40 which which WDT 39713 4479 41 is be VBZ 39713 4479 42 familiar familiar JJ 39713 4479 43 to to IN 39713 4479 44 us -PRON- PRP 39713 4479 45 , , , 39713 4479 46 we -PRON- PRP 39713 4479 47 shall shall MD 39713 4479 48 better better RB 39713 4479 49 comprehend comprehend VB 39713 4479 50 the the DT 39713 4479 51 dynamics dynamic NNS 39713 4479 52 of of IN 39713 4479 53 electrons electron NNS 39713 4479 54 and and CC 39713 4479 55 it -PRON- PRP 39713 4479 56 will will MD 39713 4479 57 be be VB 39713 4479 58 perhaps perhaps RB 39713 4479 59 more more RBR 39713 4479 60 easy easy JJ 39713 4479 61 for for IN 39713 4479 62 us -PRON- PRP 39713 4479 63 to to TO 39713 4479 64 reconcile reconcile VB 39713 4479 65 it -PRON- PRP 39713 4479 66 with with IN 39713 4479 67 the the DT 39713 4479 68 principles principle NNS 39713 4479 69 . . . 39713 4480 1 _ _ NNP 39713 4480 2 Conventions Conventions NNPS 39713 4480 3 Preceding precede VBG 39713 4480 4 Experiment._--Suppose experiment._--suppose CD 39713 4480 5 , , , 39713 4480 6 now now RB 39713 4480 7 , , , 39713 4480 8 that that IN 39713 4480 9 all all PDT 39713 4480 10 these these DT 39713 4480 11 efforts effort NNS 39713 4480 12 fail fail VBP 39713 4480 13 , , , 39713 4480 14 and and CC 39713 4480 15 , , , 39713 4480 16 after after RB 39713 4480 17 all all RB 39713 4480 18 , , , 39713 4480 19 I -PRON- PRP 39713 4480 20 do do VBP 39713 4480 21 not not RB 39713 4480 22 believe believe VB 39713 4480 23 they -PRON- PRP 39713 4480 24 will will MD 39713 4480 25 , , , 39713 4480 26 what what WP 39713 4480 27 must must MD 39713 4480 28 be be VB 39713 4480 29 done do VBN 39713 4480 30 ? ? . 39713 4481 1 Will Will MD 39713 4481 2 it -PRON- PRP 39713 4481 3 be be VB 39713 4481 4 necessary necessary JJ 39713 4481 5 to to TO 39713 4481 6 seek seek VB 39713 4481 7 to to TO 39713 4481 8 mend mend VB 39713 4481 9 the the DT 39713 4481 10 broken broken JJ 39713 4481 11 principles principle NNS 39713 4481 12 by by IN 39713 4481 13 giving give VBG 39713 4481 14 what what WP 39713 4481 15 we -PRON- PRP 39713 4481 16 French french JJ 39713 4481 17 call call VBP 39713 4481 18 a a DT 39713 4481 19 _ _ NNP 39713 4481 20 coup coup FW 39713 4481 21 de de XX 39713 4481 22 pouce pouce NN 39713 4481 23 _ _ NNP 39713 4481 24 ? ? . 39713 4482 1 That that DT 39713 4482 2 evidently evidently RB 39713 4482 3 is be VBZ 39713 4482 4 always always RB 39713 4482 5 possible possible JJ 39713 4482 6 , , , 39713 4482 7 and and CC 39713 4482 8 I -PRON- PRP 39713 4482 9 retract retract VBP 39713 4482 10 nothing nothing NN 39713 4482 11 of of IN 39713 4482 12 what what WP 39713 4482 13 I -PRON- PRP 39713 4482 14 have have VBP 39713 4482 15 said say VBD 39713 4482 16 above above RB 39713 4482 17 . . . 39713 4483 1 Have have VBP 39713 4483 2 you -PRON- PRP 39713 4483 3 not not RB 39713 4483 4 written write VBN 39713 4483 5 , , , 39713 4483 6 you -PRON- PRP 39713 4483 7 might may MD 39713 4483 8 say say VB 39713 4483 9 if if IN 39713 4483 10 you -PRON- PRP 39713 4483 11 wished wish VBD 39713 4483 12 to to TO 39713 4483 13 seek seek VB 39713 4483 14 a a DT 39713 4483 15 quarrel quarrel NN 39713 4483 16 with with IN 39713 4483 17 me -PRON- PRP 39713 4483 18 -- -- : 39713 4483 19 have have VBP 39713 4483 20 you -PRON- PRP 39713 4483 21 not not RB 39713 4483 22 written write VBN 39713 4483 23 that that IN 39713 4483 24 the the DT 39713 4483 25 principles principle NNS 39713 4483 26 , , , 39713 4483 27 though though IN 39713 4483 28 of of IN 39713 4483 29 experimental experimental JJ 39713 4483 30 origin origin NN 39713 4483 31 , , , 39713 4483 32 are be VBP 39713 4483 33 now now RB 39713 4483 34 unassailable unassailable JJ 39713 4483 35 by by IN 39713 4483 36 experiment experiment NN 39713 4483 37 because because IN 39713 4483 38 they -PRON- PRP 39713 4483 39 have have VBP 39713 4483 40 become become VBN 39713 4483 41 conventions convention NNS 39713 4483 42 ? ? . 39713 4484 1 And and CC 39713 4484 2 now now RB 39713 4484 3 you -PRON- PRP 39713 4484 4 have have VBP 39713 4484 5 just just RB 39713 4484 6 told tell VBN 39713 4484 7 us -PRON- PRP 39713 4484 8 that that IN 39713 4484 9 the the DT 39713 4484 10 most most RBS 39713 4484 11 recent recent JJ 39713 4484 12 conquests conquest NNS 39713 4484 13 of of IN 39713 4484 14 experiment experiment NN 39713 4484 15 put put VBD 39713 4484 16 these these DT 39713 4484 17 principles principle NNS 39713 4484 18 in in IN 39713 4484 19 danger danger NN 39713 4484 20 . . . 39713 4485 1 Well well UH 39713 4485 2 , , , 39713 4485 3 formerly formerly RB 39713 4485 4 I -PRON- PRP 39713 4485 5 was be VBD 39713 4485 6 right right JJ 39713 4485 7 and and CC 39713 4485 8 to to IN 39713 4485 9 - - HYPH 39713 4485 10 day day NN 39713 4485 11 I -PRON- PRP 39713 4485 12 am be VBP 39713 4485 13 not not RB 39713 4485 14 wrong wrong JJ 39713 4485 15 . . . 39713 4486 1 Formerly formerly RB 39713 4486 2 I -PRON- PRP 39713 4486 3 was be VBD 39713 4486 4 right right JJ 39713 4486 5 , , , 39713 4486 6 and and CC 39713 4486 7 what what WP 39713 4486 8 is be VBZ 39713 4486 9 now now RB 39713 4486 10 happening happen VBG 39713 4486 11 is be VBZ 39713 4486 12 a a DT 39713 4486 13 new new JJ 39713 4486 14 proof proof NN 39713 4486 15 of of IN 39713 4486 16 it -PRON- PRP 39713 4486 17 . . . 39713 4487 1 Take take VB 39713 4487 2 , , , 39713 4487 3 for for IN 39713 4487 4 example example NN 39713 4487 5 , , , 39713 4487 6 the the DT 39713 4487 7 calorimetric calorimetric JJ 39713 4487 8 experiment experiment NN 39713 4487 9 of of IN 39713 4487 10 Curie Curie NNP 39713 4487 11 on on IN 39713 4487 12 radium radium NN 39713 4487 13 . . . 39713 4488 1 Is be VBZ 39713 4488 2 it -PRON- PRP 39713 4488 3 possible possible JJ 39713 4488 4 to to TO 39713 4488 5 reconcile reconcile VB 39713 4488 6 it -PRON- PRP 39713 4488 7 with with IN 39713 4488 8 the the DT 39713 4488 9 principle principle NN 39713 4488 10 of of IN 39713 4488 11 the the DT 39713 4488 12 conservation conservation NN 39713 4488 13 of of IN 39713 4488 14 energy energy NN 39713 4488 15 ? ? . 39713 4489 1 This this DT 39713 4489 2 has have VBZ 39713 4489 3 been be VBN 39713 4489 4 attempted attempt VBN 39713 4489 5 in in IN 39713 4489 6 many many JJ 39713 4489 7 ways way NNS 39713 4489 8 . . . 39713 4490 1 But but CC 39713 4490 2 there there EX 39713 4490 3 is be VBZ 39713 4490 4 among among IN 39713 4490 5 them -PRON- PRP 39713 4490 6 one one CD 39713 4490 7 I -PRON- PRP 39713 4490 8 should should MD 39713 4490 9 like like VB 39713 4490 10 you -PRON- PRP 39713 4490 11 to to TO 39713 4490 12 notice notice VB 39713 4490 13 ; ; : 39713 4490 14 this this DT 39713 4490 15 is be VBZ 39713 4490 16 not not RB 39713 4490 17 the the DT 39713 4490 18 explanation explanation NN 39713 4490 19 which which WDT 39713 4490 20 tends tend VBZ 39713 4490 21 to to IN 39713 4490 22 - - HYPH 39713 4490 23 day day NN 39713 4490 24 to to TO 39713 4490 25 prevail prevail VB 39713 4490 26 , , , 39713 4490 27 but but CC 39713 4490 28 it -PRON- PRP 39713 4490 29 is be VBZ 39713 4490 30 one one CD 39713 4490 31 of of IN 39713 4490 32 those those DT 39713 4490 33 which which WDT 39713 4490 34 have have VBP 39713 4490 35 been be VBN 39713 4490 36 proposed propose VBN 39713 4490 37 . . . 39713 4491 1 It -PRON- PRP 39713 4491 2 has have VBZ 39713 4491 3 been be VBN 39713 4491 4 conjectured conjecture VBN 39713 4491 5 that that IN 39713 4491 6 radium radium NN 39713 4491 7 was be VBD 39713 4491 8 only only RB 39713 4491 9 an an DT 39713 4491 10 intermediary intermediary NN 39713 4491 11 , , , 39713 4491 12 that that IN 39713 4491 13 it -PRON- PRP 39713 4491 14 only only RB 39713 4491 15 stored store VBD 39713 4491 16 radiations radiation NNS 39713 4491 17 of of IN 39713 4491 18 unknown unknown JJ 39713 4491 19 nature nature NN 39713 4491 20 which which WDT 39713 4491 21 flashed flash VBD 39713 4491 22 through through IN 39713 4491 23 space space NN 39713 4491 24 in in IN 39713 4491 25 every every DT 39713 4491 26 direction direction NN 39713 4491 27 , , , 39713 4491 28 traversing traverse VBG 39713 4491 29 all all DT 39713 4491 30 bodies body NNS 39713 4491 31 , , , 39713 4491 32 save save VB 39713 4491 33 radium radium NN 39713 4491 34 , , , 39713 4491 35 without without IN 39713 4491 36 being be VBG 39713 4491 37 altered alter VBN 39713 4491 38 by by IN 39713 4491 39 this this DT 39713 4491 40 passage passage NN 39713 4491 41 and and CC 39713 4491 42 without without IN 39713 4491 43 exercising exercise VBG 39713 4491 44 any any DT 39713 4491 45 action action NN 39713 4491 46 upon upon IN 39713 4491 47 them -PRON- PRP 39713 4491 48 . . . 39713 4492 1 Radium radium NN 39713 4492 2 alone alone RB 39713 4492 3 took take VBD 39713 4492 4 from from IN 39713 4492 5 them -PRON- PRP 39713 4492 6 a a DT 39713 4492 7 little little JJ 39713 4492 8 of of IN 39713 4492 9 their -PRON- PRP$ 39713 4492 10 energy energy NN 39713 4492 11 and and CC 39713 4492 12 afterward afterward RB 39713 4492 13 gave give VBD 39713 4492 14 it -PRON- PRP 39713 4492 15 out out RP 39713 4492 16 to to IN 39713 4492 17 us -PRON- PRP 39713 4492 18 in in IN 39713 4492 19 various various JJ 39713 4492 20 forms form NNS 39713 4492 21 . . . 39713 4493 1 What what WDT 39713 4493 2 an an DT 39713 4493 3 advantageous advantageous JJ 39713 4493 4 explanation explanation NN 39713 4493 5 , , , 39713 4493 6 and and CC 39713 4493 7 how how WRB 39713 4493 8 convenient convenient JJ 39713 4493 9 ! ! . 39713 4494 1 First first RB 39713 4494 2 , , , 39713 4494 3 it -PRON- PRP 39713 4494 4 is be VBZ 39713 4494 5 unverifiable unverifiable JJ 39713 4494 6 and and CC 39713 4494 7 thus thus RB 39713 4494 8 irrefutable irrefutable JJ 39713 4494 9 . . . 39713 4495 1 Then then RB 39713 4495 2 again again RB 39713 4495 3 it -PRON- PRP 39713 4495 4 will will MD 39713 4495 5 serve serve VB 39713 4495 6 to to TO 39713 4495 7 account account VB 39713 4495 8 for for IN 39713 4495 9 any any DT 39713 4495 10 derogation derogation NN 39713 4495 11 whatever whatever WDT 39713 4495 12 to to IN 39713 4495 13 Mayer Mayer NNP 39713 4495 14 's 's POS 39713 4495 15 principle principle NN 39713 4495 16 ; ; : 39713 4495 17 it -PRON- PRP 39713 4495 18 answers answer VBZ 39713 4495 19 in in IN 39713 4495 20 advance advance NN 39713 4495 21 not not RB 39713 4495 22 only only RB 39713 4495 23 the the DT 39713 4495 24 objection objection NN 39713 4495 25 of of IN 39713 4495 26 Curie Curie NNP 39713 4495 27 , , , 39713 4495 28 but but CC 39713 4495 29 all all PDT 39713 4495 30 the the DT 39713 4495 31 objections objection NNS 39713 4495 32 that that IN 39713 4495 33 future future JJ 39713 4495 34 experimenters experimenter NNS 39713 4495 35 might may MD 39713 4495 36 accumulate accumulate VB 39713 4495 37 . . . 39713 4496 1 This this DT 39713 4496 2 new new JJ 39713 4496 3 and and CC 39713 4496 4 unknown unknown JJ 39713 4496 5 energy energy NN 39713 4496 6 would would MD 39713 4496 7 serve serve VB 39713 4496 8 for for IN 39713 4496 9 everything everything NN 39713 4496 10 . . . 39713 4497 1 This this DT 39713 4497 2 is be VBZ 39713 4497 3 just just RB 39713 4497 4 what what WP 39713 4497 5 I -PRON- PRP 39713 4497 6 said say VBD 39713 4497 7 , , , 39713 4497 8 and and CC 39713 4497 9 therewith therewith NNP 39713 4497 10 we -PRON- PRP 39713 4497 11 are be VBP 39713 4497 12 shown show VBN 39713 4497 13 that that IN 39713 4497 14 our -PRON- PRP$ 39713 4497 15 principle principle NN 39713 4497 16 is be VBZ 39713 4497 17 unassailable unassailable JJ 39713 4497 18 by by IN 39713 4497 19 experiment experiment NN 39713 4497 20 . . . 39713 4498 1 But but CC 39713 4498 2 then then RB 39713 4498 3 , , , 39713 4498 4 what what WP 39713 4498 5 have have VBP 39713 4498 6 we -PRON- PRP 39713 4498 7 gained gain VBN 39713 4498 8 by by IN 39713 4498 9 this this DT 39713 4498 10 stroke stroke NN 39713 4498 11 ? ? . 39713 4499 1 The the DT 39713 4499 2 principle principle NN 39713 4499 3 is be VBZ 39713 4499 4 intact intact JJ 39713 4499 5 , , , 39713 4499 6 but but CC 39713 4499 7 thenceforth thenceforth NN 39713 4499 8 of of IN 39713 4499 9 what what WDT 39713 4499 10 use use NN 39713 4499 11 is be VBZ 39713 4499 12 it -PRON- PRP 39713 4499 13 ? ? . 39713 4500 1 It -PRON- PRP 39713 4500 2 enabled enable VBD 39713 4500 3 us -PRON- PRP 39713 4500 4 to to TO 39713 4500 5 foresee foresee VB 39713 4500 6 that that IN 39713 4500 7 in in IN 39713 4500 8 such such JJ 39713 4500 9 or or CC 39713 4500 10 such such JJ 39713 4500 11 circumstance circumstance NN 39713 4500 12 we -PRON- PRP 39713 4500 13 could could MD 39713 4500 14 count count VB 39713 4500 15 on on IN 39713 4500 16 such such PDT 39713 4500 17 a a DT 39713 4500 18 total total JJ 39713 4500 19 quantity quantity NN 39713 4500 20 of of IN 39713 4500 21 energy energy NN 39713 4500 22 ; ; : 39713 4500 23 it -PRON- PRP 39713 4500 24 limited limit VBD 39713 4500 25 us -PRON- PRP 39713 4500 26 ; ; : 39713 4500 27 but but CC 39713 4500 28 now now RB 39713 4500 29 that that IN 39713 4500 30 this this DT 39713 4500 31 indefinite indefinite JJ 39713 4500 32 provision provision NN 39713 4500 33 of of IN 39713 4500 34 new new JJ 39713 4500 35 energy energy NN 39713 4500 36 is be VBZ 39713 4500 37 placed place VBN 39713 4500 38 at at IN 39713 4500 39 our -PRON- PRP$ 39713 4500 40 disposal disposal NN 39713 4500 41 , , , 39713 4500 42 we -PRON- PRP 39713 4500 43 are be VBP 39713 4500 44 no no RB 39713 4500 45 longer long RBR 39713 4500 46 limited limit VBN 39713 4500 47 by by IN 39713 4500 48 anything anything NN 39713 4500 49 ; ; : 39713 4500 50 and and CC 39713 4500 51 , , , 39713 4500 52 as as IN 39713 4500 53 I -PRON- PRP 39713 4500 54 have have VBP 39713 4500 55 written write VBN 39713 4500 56 in in IN 39713 4500 57 ' ' `` 39713 4500 58 Science Science NNP 39713 4500 59 and and CC 39713 4500 60 Hypothesis Hypothesis NNP 39713 4500 61 , , , 39713 4500 62 ' ' '' 39713 4500 63 if if IN 39713 4500 64 a a DT 39713 4500 65 principle principle NN 39713 4500 66 ceases cease VBZ 39713 4500 67 to to TO 39713 4500 68 be be VB 39713 4500 69 fecund fecund JJ 39713 4500 70 , , , 39713 4500 71 experiment experiment NN 39713 4500 72 without without IN 39713 4500 73 contradicting contradict VBG 39713 4500 74 it -PRON- PRP 39713 4500 75 directly directly RB 39713 4500 76 will will MD 39713 4500 77 nevertheless nevertheless RB 39713 4500 78 have have VB 39713 4500 79 condemned condemn VBN 39713 4500 80 it -PRON- PRP 39713 4500 81 . . . 39713 4501 1 _ _ NNP 39713 4501 2 Future Future NNP 39713 4501 3 Mathematical Mathematical NNP 39713 4501 4 Physics._--This physics._--this CD 39713 4501 5 , , , 39713 4501 6 therefore therefore RB 39713 4501 7 , , , 39713 4501 8 is be VBZ 39713 4501 9 not not RB 39713 4501 10 what what WP 39713 4501 11 would would MD 39713 4501 12 have have VB 39713 4501 13 to to TO 39713 4501 14 be be VB 39713 4501 15 done do VBN 39713 4501 16 ; ; : 39713 4501 17 it -PRON- PRP 39713 4501 18 would would MD 39713 4501 19 be be VB 39713 4501 20 necessary necessary JJ 39713 4501 21 to to TO 39713 4501 22 rebuild rebuild VB 39713 4501 23 anew anew RB 39713 4501 24 . . . 39713 4502 1 If if IN 39713 4502 2 we -PRON- PRP 39713 4502 3 were be VBD 39713 4502 4 reduced reduce VBN 39713 4502 5 to to IN 39713 4502 6 this this DT 39713 4502 7 necessity necessity NN 39713 4502 8 ; ; : 39713 4502 9 we -PRON- PRP 39713 4502 10 could could MD 39713 4502 11 moreover moreover RB 39713 4502 12 console console VB 39713 4502 13 ourselves -PRON- PRP 39713 4502 14 . . . 39713 4503 1 It -PRON- PRP 39713 4503 2 would would MD 39713 4503 3 not not RB 39713 4503 4 be be VB 39713 4503 5 necessary necessary JJ 39713 4503 6 thence thence NN 39713 4503 7 to to TO 39713 4503 8 conclude conclude VB 39713 4503 9 that that IN 39713 4503 10 science science NN 39713 4503 11 can can MD 39713 4503 12 weave weave VB 39713 4503 13 only only RB 39713 4503 14 a a DT 39713 4503 15 Penelope penelope NN 39713 4503 16 's 's POS 39713 4503 17 web web NN 39713 4503 18 , , , 39713 4503 19 that that IN 39713 4503 20 it -PRON- PRP 39713 4503 21 can can MD 39713 4503 22 raise raise VB 39713 4503 23 only only RB 39713 4503 24 ephemeral ephemeral JJ 39713 4503 25 structures structure NNS 39713 4503 26 , , , 39713 4503 27 which which WDT 39713 4503 28 it -PRON- PRP 39713 4503 29 is be VBZ 39713 4503 30 soon soon RB 39713 4503 31 forced force VBN 39713 4503 32 to to TO 39713 4503 33 demolish demolish VB 39713 4503 34 from from IN 39713 4503 35 top top NN 39713 4503 36 to to IN 39713 4503 37 bottom bottom NN 39713 4503 38 with with IN 39713 4503 39 its -PRON- PRP$ 39713 4503 40 own own JJ 39713 4503 41 hands hand NNS 39713 4503 42 . . . 39713 4504 1 As as IN 39713 4504 2 I -PRON- PRP 39713 4504 3 have have VBP 39713 4504 4 said say VBD 39713 4504 5 , , , 39713 4504 6 we -PRON- PRP 39713 4504 7 have have VBP 39713 4504 8 already already RB 39713 4504 9 passed pass VBN 39713 4504 10 through through IN 39713 4504 11 a a DT 39713 4504 12 like like JJ 39713 4504 13 crisis crisis NN 39713 4504 14 . . . 39713 4505 1 I -PRON- PRP 39713 4505 2 have have VBP 39713 4505 3 shown show VBN 39713 4505 4 you -PRON- PRP 39713 4505 5 that that IN 39713 4505 6 in in IN 39713 4505 7 the the DT 39713 4505 8 second second JJ 39713 4505 9 mathematical mathematical JJ 39713 4505 10 physics physics NN 39713 4505 11 , , , 39713 4505 12 that that DT 39713 4505 13 of of IN 39713 4505 14 the the DT 39713 4505 15 principles principle NNS 39713 4505 16 , , , 39713 4505 17 we -PRON- PRP 39713 4505 18 find find VBP 39713 4505 19 traces trace NNS 39713 4505 20 of of IN 39713 4505 21 the the DT 39713 4505 22 first first JJ 39713 4505 23 , , , 39713 4505 24 that that DT 39713 4505 25 of of IN 39713 4505 26 central central JJ 39713 4505 27 forces force NNS 39713 4505 28 ; ; : 39713 4505 29 it -PRON- PRP 39713 4505 30 will will MD 39713 4505 31 be be VB 39713 4505 32 just just RB 39713 4505 33 the the DT 39713 4505 34 same same JJ 39713 4505 35 if if IN 39713 4505 36 we -PRON- PRP 39713 4505 37 must must MD 39713 4505 38 know know VB 39713 4505 39 a a DT 39713 4505 40 third third NN 39713 4505 41 . . . 39713 4506 1 Just just RB 39713 4506 2 so so RB 39713 4506 3 with with IN 39713 4506 4 the the DT 39713 4506 5 animal animal NN 39713 4506 6 that that WDT 39713 4506 7 exuviates exuviate VBZ 39713 4506 8 , , , 39713 4506 9 that that WDT 39713 4506 10 breaks break VBZ 39713 4506 11 its -PRON- PRP$ 39713 4506 12 too too RB 39713 4506 13 narrow narrow JJ 39713 4506 14 carapace carapace NN 39713 4506 15 and and CC 39713 4506 16 makes make VBZ 39713 4506 17 itself -PRON- PRP 39713 4506 18 a a DT 39713 4506 19 fresh fresh JJ 39713 4506 20 one one NN 39713 4506 21 ; ; : 39713 4506 22 under under IN 39713 4506 23 the the DT 39713 4506 24 new new JJ 39713 4506 25 envelope envelope NNP 39713 4506 26 one one PRP 39713 4506 27 will will MD 39713 4506 28 recognize recognize VB 39713 4506 29 the the DT 39713 4506 30 essential essential JJ 39713 4506 31 traits trait NNS 39713 4506 32 of of IN 39713 4506 33 the the DT 39713 4506 34 organism organism NN 39713 4506 35 which which WDT 39713 4506 36 have have VBP 39713 4506 37 persisted persist VBN 39713 4506 38 . . . 39713 4507 1 We -PRON- PRP 39713 4507 2 can can MD 39713 4507 3 not not RB 39713 4507 4 foresee foresee VB 39713 4507 5 in in IN 39713 4507 6 what what WDT 39713 4507 7 way way NN 39713 4507 8 we -PRON- PRP 39713 4507 9 are be VBP 39713 4507 10 about about JJ 39713 4507 11 to to TO 39713 4507 12 expand expand VB 39713 4507 13 ; ; : 39713 4507 14 perhaps perhaps RB 39713 4507 15 it -PRON- PRP 39713 4507 16 is be VBZ 39713 4507 17 the the DT 39713 4507 18 kinetic kinetic JJ 39713 4507 19 theory theory NN 39713 4507 20 of of IN 39713 4507 21 gases gas NNS 39713 4507 22 which which WDT 39713 4507 23 is be VBZ 39713 4507 24 about about JJ 39713 4507 25 to to TO 39713 4507 26 undergo undergo VB 39713 4507 27 development development NN 39713 4507 28 and and CC 39713 4507 29 serve serve VB 39713 4507 30 as as IN 39713 4507 31 model model NN 39713 4507 32 to to IN 39713 4507 33 the the DT 39713 4507 34 others other NNS 39713 4507 35 . . . 39713 4508 1 Then then RB 39713 4508 2 the the DT 39713 4508 3 facts fact NNS 39713 4508 4 which which WDT 39713 4508 5 first first RB 39713 4508 6 appeared appear VBD 39713 4508 7 to to IN 39713 4508 8 us -PRON- PRP 39713 4508 9 as as IN 39713 4508 10 simple simple JJ 39713 4508 11 thereafter thereafter RB 39713 4508 12 would would MD 39713 4508 13 be be VB 39713 4508 14 merely merely RB 39713 4508 15 resultants resultant NNS 39713 4508 16 of of IN 39713 4508 17 a a DT 39713 4508 18 very very RB 39713 4508 19 great great JJ 39713 4508 20 number number NN 39713 4508 21 of of IN 39713 4508 22 elementary elementary JJ 39713 4508 23 facts fact NNS 39713 4508 24 which which WDT 39713 4508 25 only only RB 39713 4508 26 the the DT 39713 4508 27 laws law NNS 39713 4508 28 of of IN 39713 4508 29 chance chance NN 39713 4508 30 would would MD 39713 4508 31 make make VB 39713 4508 32 cooperate cooperate VB 39713 4508 33 for for IN 39713 4508 34 a a DT 39713 4508 35 common common JJ 39713 4508 36 end end NN 39713 4508 37 . . . 39713 4509 1 Physical physical JJ 39713 4509 2 law law NN 39713 4509 3 would would MD 39713 4509 4 then then RB 39713 4509 5 assume assume VB 39713 4509 6 an an DT 39713 4509 7 entirely entirely RB 39713 4509 8 new new JJ 39713 4509 9 aspect aspect NN 39713 4509 10 ; ; : 39713 4509 11 it -PRON- PRP 39713 4509 12 would would MD 39713 4509 13 no no RB 39713 4509 14 longer longer RB 39713 4509 15 be be VB 39713 4509 16 solely solely RB 39713 4509 17 a a DT 39713 4509 18 differential differential NN 39713 4509 19 equation equation NN 39713 4509 20 , , , 39713 4509 21 it -PRON- PRP 39713 4509 22 would would MD 39713 4509 23 take take VB 39713 4509 24 the the DT 39713 4509 25 character character NN 39713 4509 26 of of IN 39713 4509 27 a a DT 39713 4509 28 statistical statistical JJ 39713 4509 29 law law NN 39713 4509 30 . . . 39713 4510 1 Perhaps perhaps RB 39713 4510 2 , , , 39713 4510 3 too too RB 39713 4510 4 , , , 39713 4510 5 we -PRON- PRP 39713 4510 6 shall shall MD 39713 4510 7 have have VB 39713 4510 8 to to TO 39713 4510 9 construct construct VB 39713 4510 10 an an DT 39713 4510 11 entirely entirely RB 39713 4510 12 new new JJ 39713 4510 13 mechanics mechanic NNS 39713 4510 14 that that WDT 39713 4510 15 we -PRON- PRP 39713 4510 16 only only RB 39713 4510 17 succeed succeed VBP 39713 4510 18 in in IN 39713 4510 19 catching catch VBG 39713 4510 20 a a DT 39713 4510 21 glimpse glimpse NN 39713 4510 22 of of IN 39713 4510 23 , , , 39713 4510 24 where where WRB 39713 4510 25 , , , 39713 4510 26 inertia inertia NN 39713 4510 27 increasing increase VBG 39713 4510 28 with with IN 39713 4510 29 the the DT 39713 4510 30 velocity velocity NN 39713 4510 31 , , , 39713 4510 32 the the DT 39713 4510 33 velocity velocity NN 39713 4510 34 of of IN 39713 4510 35 light light NN 39713 4510 36 would would MD 39713 4510 37 become become VB 39713 4510 38 an an DT 39713 4510 39 impassable impassable JJ 39713 4510 40 limit limit NN 39713 4510 41 . . . 39713 4511 1 The the DT 39713 4511 2 ordinary ordinary JJ 39713 4511 3 mechanics mechanic NNS 39713 4511 4 , , , 39713 4511 5 more more RBR 39713 4511 6 simple simple JJ 39713 4511 7 , , , 39713 4511 8 would would MD 39713 4511 9 remain remain VB 39713 4511 10 a a DT 39713 4511 11 first first JJ 39713 4511 12 approximation approximation NN 39713 4511 13 , , , 39713 4511 14 since since IN 39713 4511 15 it -PRON- PRP 39713 4511 16 would would MD 39713 4511 17 be be VB 39713 4511 18 true true JJ 39713 4511 19 for for IN 39713 4511 20 velocities velocity NNS 39713 4511 21 not not RB 39713 4511 22 too too RB 39713 4511 23 great great JJ 39713 4511 24 , , , 39713 4511 25 so so IN 39713 4511 26 that that IN 39713 4511 27 the the DT 39713 4511 28 old old JJ 39713 4511 29 dynamics dynamic NNS 39713 4511 30 would would MD 39713 4511 31 still still RB 39713 4511 32 be be VB 39713 4511 33 found find VBN 39713 4511 34 under under IN 39713 4511 35 the the DT 39713 4511 36 new new JJ 39713 4511 37 . . . 39713 4512 1 We -PRON- PRP 39713 4512 2 should should MD 39713 4512 3 not not RB 39713 4512 4 have have VB 39713 4512 5 to to TO 39713 4512 6 regret regret VB 39713 4512 7 having have VBG 39713 4512 8 believed believe VBN 39713 4512 9 in in IN 39713 4512 10 the the DT 39713 4512 11 principles principle NNS 39713 4512 12 , , , 39713 4512 13 and and CC 39713 4512 14 even even RB 39713 4512 15 , , , 39713 4512 16 since since IN 39713 4512 17 velocities velocity NNS 39713 4512 18 too too RB 39713 4512 19 great great JJ 39713 4512 20 for for IN 39713 4512 21 the the DT 39713 4512 22 old old JJ 39713 4512 23 formulas formula NNS 39713 4512 24 would would MD 39713 4512 25 always always RB 39713 4512 26 be be VB 39713 4512 27 only only RB 39713 4512 28 exceptional exceptional JJ 39713 4512 29 , , , 39713 4512 30 the the DT 39713 4512 31 surest sure JJS 39713 4512 32 way way NN 39713 4512 33 in in IN 39713 4512 34 practise practise NN 39713 4512 35 would would MD 39713 4512 36 be be VB 39713 4512 37 still still RB 39713 4512 38 to to TO 39713 4512 39 act act VB 39713 4512 40 as as IN 39713 4512 41 if if IN 39713 4512 42 we -PRON- PRP 39713 4512 43 continued continue VBD 39713 4512 44 to to TO 39713 4512 45 believe believe VB 39713 4512 46 in in IN 39713 4512 47 them -PRON- PRP 39713 4512 48 . . . 39713 4513 1 They -PRON- PRP 39713 4513 2 are be VBP 39713 4513 3 so so RB 39713 4513 4 useful useful JJ 39713 4513 5 , , , 39713 4513 6 it -PRON- PRP 39713 4513 7 would would MD 39713 4513 8 be be VB 39713 4513 9 necessary necessary JJ 39713 4513 10 to to TO 39713 4513 11 keep keep VB 39713 4513 12 a a DT 39713 4513 13 place place NN 39713 4513 14 for for IN 39713 4513 15 them -PRON- PRP 39713 4513 16 . . . 39713 4514 1 To to TO 39713 4514 2 determine determine VB 39713 4514 3 to to TO 39713 4514 4 exclude exclude VB 39713 4514 5 them -PRON- PRP 39713 4514 6 altogether altogether RB 39713 4514 7 would would MD 39713 4514 8 be be VB 39713 4514 9 to to TO 39713 4514 10 deprive deprive VB 39713 4514 11 oneself oneself PRP 39713 4514 12 of of IN 39713 4514 13 a a DT 39713 4514 14 precious precious JJ 39713 4514 15 weapon weapon NN 39713 4514 16 . . . 39713 4515 1 I -PRON- PRP 39713 4515 2 hasten hasten VBP 39713 4515 3 to to TO 39713 4515 4 say say VB 39713 4515 5 in in IN 39713 4515 6 conclusion conclusion NN 39713 4515 7 that that IN 39713 4515 8 we -PRON- PRP 39713 4515 9 are be VBP 39713 4515 10 not not RB 39713 4515 11 yet yet RB 39713 4515 12 there there RB 39713 4515 13 , , , 39713 4515 14 and and CC 39713 4515 15 as as RB 39713 4515 16 yet yet RB 39713 4515 17 nothing nothing NN 39713 4515 18 proves prove VBZ 39713 4515 19 that that IN 39713 4515 20 the the DT 39713 4515 21 principles principle NNS 39713 4515 22 will will MD 39713 4515 23 not not RB 39713 4515 24 come come VB 39713 4515 25 forth forth RB 39713 4515 26 from from IN 39713 4515 27 out out RP 39713 4515 28 the the DT 39713 4515 29 fray fray NN 39713 4515 30 victorious victorious JJ 39713 4515 31 and and CC 39713 4515 32 intact intact JJ 39713 4515 33 . . . 39713 4516 1 [ [ -LRB- 39713 4516 2 10 10 CD 39713 4516 3 ] ] -RRB- 39713 4516 4 [ [ -LRB- 39713 4516 5 10 10 CD 39713 4516 6 ] ] -RRB- 39713 4516 7 These these DT 39713 4516 8 considerations consideration NNS 39713 4516 9 on on IN 39713 4516 10 mathematical mathematical JJ 39713 4516 11 physics physics NN 39713 4516 12 are be VBP 39713 4516 13 borrowed borrow VBN 39713 4516 14 from from IN 39713 4516 15 my -PRON- PRP$ 39713 4516 16 St. St. NNP 39713 4516 17 Louis Louis NNP 39713 4516 18 address address NN 39713 4516 19 . . . 39713 4517 1 PART PART NNP 39713 4517 2 III III NNP 39713 4517 3 THE the DT 39713 4517 4 OBJECTIVE objective JJ 39713 4517 5 VALUE value NN 39713 4517 6 OF of IN 39713 4517 7 SCIENCE SCIENCE NNP 39713 4517 8 CHAPTER CHAPTER NNP 39713 4517 9 X X NNP 39713 4517 10 IS be VBZ 39713 4517 11 SCIENCE SCIENCE NNP 39713 4517 12 ARTIFICIAL ARTIFICIAL NNP 39713 4517 13 ? ? . 39713 4518 1 1 1 LS 39713 4518 2 . . . 39713 4519 1 _ _ NNP 39713 4519 2 The the DT 39713 4519 3 Philosophy Philosophy NNP 39713 4519 4 of of IN 39713 4519 5 M. M. NNP 39713 4519 6 LeRoy LeRoy NNP 39713 4519 7 _ _ NNP 39713 4519 8 There there EX 39713 4519 9 are be VBP 39713 4519 10 many many JJ 39713 4519 11 reasons reason NNS 39713 4519 12 for for IN 39713 4519 13 being be VBG 39713 4519 14 sceptics sceptic NNS 39713 4519 15 ; ; : 39713 4519 16 should should MD 39713 4519 17 we -PRON- PRP 39713 4519 18 push push VB 39713 4519 19 this this DT 39713 4519 20 scepticism scepticism NN 39713 4519 21 to to IN 39713 4519 22 the the DT 39713 4519 23 very very JJ 39713 4519 24 end end NN 39713 4519 25 or or CC 39713 4519 26 stop stop VB 39713 4519 27 on on IN 39713 4519 28 the the DT 39713 4519 29 way way NN 39713 4519 30 ? ? . 39713 4520 1 To to TO 39713 4520 2 go go VB 39713 4520 3 to to IN 39713 4520 4 the the DT 39713 4520 5 end end NN 39713 4520 6 is be VBZ 39713 4520 7 the the DT 39713 4520 8 most most RBS 39713 4520 9 tempting tempting JJ 39713 4520 10 solution solution NN 39713 4520 11 , , , 39713 4520 12 the the DT 39713 4520 13 easiest easy JJS 39713 4520 14 and and CC 39713 4520 15 that that IN 39713 4520 16 which which WDT 39713 4520 17 many many JJ 39713 4520 18 have have VBP 39713 4520 19 adopted adopt VBN 39713 4520 20 , , , 39713 4520 21 despairing despair VBG 39713 4520 22 of of IN 39713 4520 23 saving save VBG 39713 4520 24 anything anything NN 39713 4520 25 from from IN 39713 4520 26 the the DT 39713 4520 27 shipwreck shipwreck NN 39713 4520 28 . . . 39713 4521 1 Among among IN 39713 4521 2 the the DT 39713 4521 3 writings writing NNS 39713 4521 4 inspired inspire VBN 39713 4521 5 by by IN 39713 4521 6 this this DT 39713 4521 7 tendency tendency NN 39713 4521 8 it -PRON- PRP 39713 4521 9 is be VBZ 39713 4521 10 proper proper JJ 39713 4521 11 to to TO 39713 4521 12 place place VB 39713 4521 13 in in IN 39713 4521 14 the the DT 39713 4521 15 first first JJ 39713 4521 16 rank rank NN 39713 4521 17 those those DT 39713 4521 18 of of IN 39713 4521 19 M. M. NNP 39713 4521 20 LeRoy LeRoy NNP 39713 4521 21 . . . 39713 4522 1 This this DT 39713 4522 2 thinker thinker NN 39713 4522 3 is be VBZ 39713 4522 4 not not RB 39713 4522 5 only only RB 39713 4522 6 a a DT 39713 4522 7 philosopher philosopher NN 39713 4522 8 and and CC 39713 4522 9 a a DT 39713 4522 10 writer writer NN 39713 4522 11 of of IN 39713 4522 12 the the DT 39713 4522 13 greatest great JJS 39713 4522 14 merit merit NN 39713 4522 15 , , , 39713 4522 16 but but CC 39713 4522 17 he -PRON- PRP 39713 4522 18 has have VBZ 39713 4522 19 acquired acquire VBN 39713 4522 20 a a DT 39713 4522 21 deep deep JJ 39713 4522 22 knowledge knowledge NN 39713 4522 23 of of IN 39713 4522 24 the the DT 39713 4522 25 exact exact JJ 39713 4522 26 and and CC 39713 4522 27 physical physical JJ 39713 4522 28 sciences science NNS 39713 4522 29 , , , 39713 4522 30 and and CC 39713 4522 31 even even RB 39713 4522 32 has have VBZ 39713 4522 33 shown show VBN 39713 4522 34 rare rare JJ 39713 4522 35 powers power NNS 39713 4522 36 of of IN 39713 4522 37 mathematical mathematical JJ 39713 4522 38 invention invention NN 39713 4522 39 . . . 39713 4523 1 Let let VB 39713 4523 2 us -PRON- PRP 39713 4523 3 recapitulate recapitulate VB 39713 4523 4 in in IN 39713 4523 5 a a DT 39713 4523 6 few few JJ 39713 4523 7 words word NNS 39713 4523 8 his -PRON- PRP$ 39713 4523 9 doctrine doctrine NN 39713 4523 10 , , , 39713 4523 11 which which WDT 39713 4523 12 has have VBZ 39713 4523 13 given give VBN 39713 4523 14 rise rise NN 39713 4523 15 to to IN 39713 4523 16 numerous numerous JJ 39713 4523 17 discussions discussion NNS 39713 4523 18 . . . 39713 4524 1 Science science NN 39713 4524 2 consists consist VBZ 39713 4524 3 only only RB 39713 4524 4 of of IN 39713 4524 5 conventions convention NNS 39713 4524 6 , , , 39713 4524 7 and and CC 39713 4524 8 to to IN 39713 4524 9 this this DT 39713 4524 10 circumstance circumstance NN 39713 4524 11 solely solely RB 39713 4524 12 does do VBZ 39713 4524 13 it -PRON- PRP 39713 4524 14 owe owe VB 39713 4524 15 its -PRON- PRP$ 39713 4524 16 apparent apparent JJ 39713 4524 17 certitude certitude NN 39713 4524 18 ; ; : 39713 4524 19 the the DT 39713 4524 20 facts fact NNS 39713 4524 21 of of IN 39713 4524 22 science science NN 39713 4524 23 and and CC 39713 4524 24 , , , 39713 4524 25 _ _ NNP 39713 4524 26 a a DT 39713 4524 27 fortiori fortiori NN 39713 4524 28 _ _ NNP 39713 4524 29 , , , 39713 4524 30 its -PRON- PRP$ 39713 4524 31 laws law NNS 39713 4524 32 are be VBP 39713 4524 33 the the DT 39713 4524 34 artificial artificial JJ 39713 4524 35 work work NN 39713 4524 36 of of IN 39713 4524 37 the the DT 39713 4524 38 scientist scientist NN 39713 4524 39 ; ; : 39713 4524 40 science science NN 39713 4524 41 therefore therefore RB 39713 4524 42 can can MD 39713 4524 43 teach teach VB 39713 4524 44 us -PRON- PRP 39713 4524 45 nothing nothing NN 39713 4524 46 of of IN 39713 4524 47 the the DT 39713 4524 48 truth truth NN 39713 4524 49 ; ; : 39713 4524 50 it -PRON- PRP 39713 4524 51 can can MD 39713 4524 52 only only RB 39713 4524 53 serve serve VB 39713 4524 54 us -PRON- PRP 39713 4524 55 as as IN 39713 4524 56 rule rule NN 39713 4524 57 of of IN 39713 4524 58 action action NN 39713 4524 59 . . . 39713 4525 1 Here here RB 39713 4525 2 we -PRON- PRP 39713 4525 3 recognize recognize VBP 39713 4525 4 the the DT 39713 4525 5 philosophic philosophic JJ 39713 4525 6 theory theory NN 39713 4525 7 known know VBN 39713 4525 8 under under IN 39713 4525 9 the the DT 39713 4525 10 name name NN 39713 4525 11 of of IN 39713 4525 12 nominalism nominalism NN 39713 4525 13 ; ; , 39713 4525 14 all all DT 39713 4525 15 is be VBZ 39713 4525 16 not not RB 39713 4525 17 false false JJ 39713 4525 18 in in IN 39713 4525 19 this this DT 39713 4525 20 theory theory NN 39713 4525 21 ; ; : 39713 4525 22 its -PRON- PRP$ 39713 4525 23 legitimate legitimate JJ 39713 4525 24 domain domain NN 39713 4525 25 must must MD 39713 4525 26 be be VB 39713 4525 27 left leave VBN 39713 4525 28 it -PRON- PRP 39713 4525 29 , , , 39713 4525 30 but but CC 39713 4525 31 out out IN 39713 4525 32 of of IN 39713 4525 33 this this DT 39713 4525 34 it -PRON- PRP 39713 4525 35 should should MD 39713 4525 36 not not RB 39713 4525 37 be be VB 39713 4525 38 allowed allow VBN 39713 4525 39 to to TO 39713 4525 40 go go VB 39713 4525 41 . . . 39713 4526 1 This this DT 39713 4526 2 is be VBZ 39713 4526 3 not not RB 39713 4526 4 all all DT 39713 4526 5 ; ; : 39713 4526 6 M. M. NNP 39713 4526 7 LeRoy LeRoy NNP 39713 4526 8 's 's POS 39713 4526 9 doctrine doctrine NN 39713 4526 10 is be VBZ 39713 4526 11 not not RB 39713 4526 12 only only RB 39713 4526 13 nominalistic nominalistic JJ 39713 4526 14 ; ; : 39713 4526 15 it -PRON- PRP 39713 4526 16 has have VBZ 39713 4526 17 besides besides IN 39713 4526 18 another another DT 39713 4526 19 characteristic characteristic NN 39713 4526 20 which which WDT 39713 4526 21 it -PRON- PRP 39713 4526 22 doubtless doubtless RB 39713 4526 23 owes owe VBZ 39713 4526 24 to to IN 39713 4526 25 M. M. NNP 39713 4526 26 Bergson Bergson NNP 39713 4526 27 , , , 39713 4526 28 it -PRON- PRP 39713 4526 29 is be VBZ 39713 4526 30 anti anti JJ 39713 4526 31 - - JJ 39713 4526 32 intellectualistic intellectualistic JJ 39713 4526 33 . . . 39713 4527 1 According accord VBG 39713 4527 2 to to IN 39713 4527 3 M. M. NNP 39713 4527 4 LeRoy LeRoy NNP 39713 4527 5 , , , 39713 4527 6 the the DT 39713 4527 7 intellect intellect NN 39713 4527 8 deforms deform NNS 39713 4527 9 all all DT 39713 4527 10 it -PRON- PRP 39713 4527 11 touches touch VBZ 39713 4527 12 , , , 39713 4527 13 and and CC 39713 4527 14 that that DT 39713 4527 15 is be VBZ 39713 4527 16 still still RB 39713 4527 17 more more RBR 39713 4527 18 true true JJ 39713 4527 19 of of IN 39713 4527 20 its -PRON- PRP$ 39713 4527 21 necessary necessary JJ 39713 4527 22 instrument instrument NN 39713 4527 23 ' ' POS 39713 4527 24 discourse discourse NN 39713 4527 25 . . . 39713 4527 26 ' ' '' 39713 4528 1 There there EX 39713 4528 2 is be VBZ 39713 4528 3 reality reality NN 39713 4528 4 only only RB 39713 4528 5 in in IN 39713 4528 6 our -PRON- PRP$ 39713 4528 7 fugitive fugitive NN 39713 4528 8 and and CC 39713 4528 9 changing change VBG 39713 4528 10 impressions impression NNS 39713 4528 11 , , , 39713 4528 12 and and CC 39713 4528 13 even even RB 39713 4528 14 this this DT 39713 4528 15 reality reality NN 39713 4528 16 , , , 39713 4528 17 when when WRB 39713 4528 18 touched touch VBN 39713 4528 19 , , , 39713 4528 20 vanishes vanishe NNS 39713 4528 21 . . . 39713 4529 1 And and CC 39713 4529 2 yet yet RB 39713 4529 3 M. M. NNP 39713 4529 4 LeRoy LeRoy NNP 39713 4529 5 is be VBZ 39713 4529 6 not not RB 39713 4529 7 a a DT 39713 4529 8 sceptic sceptic JJ 39713 4529 9 ; ; : 39713 4529 10 if if IN 39713 4529 11 he -PRON- PRP 39713 4529 12 regards regard VBZ 39713 4529 13 the the DT 39713 4529 14 intellect intellect NN 39713 4529 15 as as RB 39713 4529 16 incurably incurably RB 39713 4529 17 powerless powerless JJ 39713 4529 18 , , , 39713 4529 19 it -PRON- PRP 39713 4529 20 is be VBZ 39713 4529 21 only only RB 39713 4529 22 to to TO 39713 4529 23 give give VB 39713 4529 24 more more JJR 39713 4529 25 scope scope NN 39713 4529 26 to to IN 39713 4529 27 other other JJ 39713 4529 28 sources source NNS 39713 4529 29 of of IN 39713 4529 30 knowledge knowledge NN 39713 4529 31 , , , 39713 4529 32 to to IN 39713 4529 33 the the DT 39713 4529 34 heart heart NN 39713 4529 35 , , , 39713 4529 36 for for IN 39713 4529 37 instance instance NN 39713 4529 38 , , , 39713 4529 39 to to IN 39713 4529 40 sentiment sentiment NN 39713 4529 41 , , , 39713 4529 42 to to IN 39713 4529 43 instinct instinct VB 39713 4529 44 or or CC 39713 4529 45 to to IN 39713 4529 46 faith faith NN 39713 4529 47 . . . 39713 4530 1 However however WRB 39713 4530 2 great great JJ 39713 4530 3 my -PRON- PRP$ 39713 4530 4 esteem esteem NN 39713 4530 5 for for IN 39713 4530 6 M. M. NNP 39713 4530 7 LeRoy LeRoy NNP 39713 4530 8 's 's POS 39713 4530 9 talent talent NN 39713 4530 10 , , , 39713 4530 11 whatever whatever WDT 39713 4530 12 the the DT 39713 4530 13 ingenuity ingenuity NN 39713 4530 14 of of IN 39713 4530 15 this this DT 39713 4530 16 thesis thesis NN 39713 4530 17 , , , 39713 4530 18 I -PRON- PRP 39713 4530 19 can can MD 39713 4530 20 not not RB 39713 4530 21 wholly wholly RB 39713 4530 22 accept accept VB 39713 4530 23 it -PRON- PRP 39713 4530 24 . . . 39713 4531 1 Certes certe NNS 39713 4531 2 , , , 39713 4531 3 I -PRON- PRP 39713 4531 4 am be VBP 39713 4531 5 in in IN 39713 4531 6 accord accord NN 39713 4531 7 on on IN 39713 4531 8 many many JJ 39713 4531 9 points point NNS 39713 4531 10 with with IN 39713 4531 11 M. M. NNP 39713 4531 12 LeRoy LeRoy NNP 39713 4531 13 , , , 39713 4531 14 and and CC 39713 4531 15 he -PRON- PRP 39713 4531 16 has have VBZ 39713 4531 17 even even RB 39713 4531 18 cited cite VBN 39713 4531 19 , , , 39713 4531 20 in in IN 39713 4531 21 support support NN 39713 4531 22 of of IN 39713 4531 23 his -PRON- PRP$ 39713 4531 24 view view NN 39713 4531 25 , , , 39713 4531 26 various various JJ 39713 4531 27 passages passage NNS 39713 4531 28 of of IN 39713 4531 29 my -PRON- PRP$ 39713 4531 30 writings writing NNS 39713 4531 31 which which WDT 39713 4531 32 I -PRON- PRP 39713 4531 33 am be VBP 39713 4531 34 by by IN 39713 4531 35 no no DT 39713 4531 36 means means NN 39713 4531 37 disposed dispose VBN 39713 4531 38 to to TO 39713 4531 39 reject reject VB 39713 4531 40 . . . 39713 4532 1 I -PRON- PRP 39713 4532 2 think think VBP 39713 4532 3 myself -PRON- PRP 39713 4532 4 only only RB 39713 4532 5 the the DT 39713 4532 6 more more RBR 39713 4532 7 bound bind VBN 39713 4532 8 to to TO 39713 4532 9 explain explain VB 39713 4532 10 why why WRB 39713 4532 11 I -PRON- PRP 39713 4532 12 can can MD 39713 4532 13 not not RB 39713 4532 14 go go VB 39713 4532 15 with with IN 39713 4532 16 him -PRON- PRP 39713 4532 17 all all PDT 39713 4532 18 the the DT 39713 4532 19 way way NN 39713 4532 20 . . . 39713 4533 1 M. M. NNP 39713 4533 2 LeRoy LeRoy NNP 39713 4533 3 often often RB 39713 4533 4 complains complain VBZ 39713 4533 5 of of IN 39713 4533 6 being be VBG 39713 4533 7 accused accuse VBN 39713 4533 8 of of IN 39713 4533 9 scepticism scepticism NN 39713 4533 10 . . . 39713 4534 1 He -PRON- PRP 39713 4534 2 could could MD 39713 4534 3 not not RB 39713 4534 4 help help VB 39713 4534 5 being be VBG 39713 4534 6 , , , 39713 4534 7 though though IN 39713 4534 8 this this DT 39713 4534 9 accusation accusation NN 39713 4534 10 is be VBZ 39713 4534 11 probably probably RB 39713 4534 12 unjust unjust JJ 39713 4534 13 . . . 39713 4535 1 Are be VBP 39713 4535 2 not not RB 39713 4535 3 appearances appearance NNS 39713 4535 4 against against IN 39713 4535 5 him -PRON- PRP 39713 4535 6 ? ? . 39713 4536 1 Nominalist nominalist JJ 39713 4536 2 in in IN 39713 4536 3 doctrine doctrine NN 39713 4536 4 , , , 39713 4536 5 but but CC 39713 4536 6 realist realist VB 39713 4536 7 at at IN 39713 4536 8 heart heart NN 39713 4536 9 , , , 39713 4536 10 he -PRON- PRP 39713 4536 11 seems seem VBZ 39713 4536 12 to to TO 39713 4536 13 escape escape VB 39713 4536 14 absolute absolute JJ 39713 4536 15 nominalism nominalism NN 39713 4536 16 only only RB 39713 4536 17 by by IN 39713 4536 18 a a DT 39713 4536 19 desperate desperate JJ 39713 4536 20 act act NN 39713 4536 21 of of IN 39713 4536 22 faith faith NN 39713 4536 23 . . . 39713 4537 1 The the DT 39713 4537 2 fact fact NN 39713 4537 3 is be VBZ 39713 4537 4 that that IN 39713 4537 5 anti anti JJ 39713 4537 6 - - JJ 39713 4537 7 intellectualistic intellectualistic JJ 39713 4537 8 philosophy philosophy NN 39713 4537 9 in in IN 39713 4537 10 rejecting reject VBG 39713 4537 11 analysis analysis NN 39713 4537 12 and and CC 39713 4537 13 ' ' `` 39713 4537 14 discourse discourse NN 39713 4537 15 , , , 39713 4537 16 ' ' '' 39713 4537 17 just just RB 39713 4537 18 by by IN 39713 4537 19 that that DT 39713 4537 20 condemns condemn VBZ 39713 4537 21 itself -PRON- PRP 39713 4537 22 to to IN 39713 4537 23 being be VBG 39713 4537 24 intransmissible intransmissible JJ 39713 4537 25 ; ; : 39713 4537 26 it -PRON- PRP 39713 4537 27 is be VBZ 39713 4537 28 a a DT 39713 4537 29 philosophy philosophy NN 39713 4537 30 essentially essentially RB 39713 4537 31 internal internal JJ 39713 4537 32 , , , 39713 4537 33 or or CC 39713 4537 34 , , , 39713 4537 35 at at IN 39713 4537 36 the the DT 39713 4537 37 very very RB 39713 4537 38 least least JJS 39713 4537 39 , , , 39713 4537 40 only only RB 39713 4537 41 its -PRON- PRP$ 39713 4537 42 negations negation NNS 39713 4537 43 can can MD 39713 4537 44 be be VB 39713 4537 45 transmitted transmit VBN 39713 4537 46 ; ; : 39713 4537 47 what what WDT 39713 4537 48 wonder wonder VBP 39713 4537 49 then then RB 39713 4537 50 that that DT 39713 4537 51 for for IN 39713 4537 52 an an DT 39713 4537 53 external external JJ 39713 4537 54 observer observer NN 39713 4537 55 it -PRON- PRP 39713 4537 56 takes take VBZ 39713 4537 57 the the DT 39713 4537 58 shape shape NN 39713 4537 59 of of IN 39713 4537 60 scepticism scepticism NN 39713 4537 61 ? ? . 39713 4538 1 Therein therein RB 39713 4538 2 lies lie VBZ 39713 4538 3 the the DT 39713 4538 4 weak weak JJ 39713 4538 5 point point NN 39713 4538 6 of of IN 39713 4538 7 this this DT 39713 4538 8 philosophy philosophy NN 39713 4538 9 ; ; : 39713 4538 10 if if IN 39713 4538 11 it -PRON- PRP 39713 4538 12 strives strive VBZ 39713 4538 13 to to TO 39713 4538 14 remain remain VB 39713 4538 15 faithful faithful JJ 39713 4538 16 to to IN 39713 4538 17 itself -PRON- PRP 39713 4538 18 , , , 39713 4538 19 its -PRON- PRP$ 39713 4538 20 energy energy NN 39713 4538 21 is be VBZ 39713 4538 22 spent spend VBN 39713 4538 23 in in IN 39713 4538 24 a a DT 39713 4538 25 negation negation NN 39713 4538 26 and and CC 39713 4538 27 a a DT 39713 4538 28 cry cry NN 39713 4538 29 of of IN 39713 4538 30 enthusiasm enthusiasm NN 39713 4538 31 . . . 39713 4539 1 Each each DT 39713 4539 2 author author NN 39713 4539 3 may may MD 39713 4539 4 repeat repeat VB 39713 4539 5 this this DT 39713 4539 6 negation negation NN 39713 4539 7 and and CC 39713 4539 8 this this DT 39713 4539 9 cry cry NN 39713 4539 10 , , , 39713 4539 11 may may MD 39713 4539 12 vary vary VB 39713 4539 13 their -PRON- PRP$ 39713 4539 14 form form NN 39713 4539 15 , , , 39713 4539 16 but but CC 39713 4539 17 without without IN 39713 4539 18 adding add VBG 39713 4539 19 anything anything NN 39713 4539 20 . . . 39713 4540 1 And and CC 39713 4540 2 , , , 39713 4540 3 yet yet RB 39713 4540 4 , , , 39713 4540 5 would would MD 39713 4540 6 it -PRON- PRP 39713 4540 7 not not RB 39713 4540 8 be be VB 39713 4540 9 more more RBR 39713 4540 10 logical logical JJ 39713 4540 11 in in IN 39713 4540 12 remaining remain VBG 39713 4540 13 silent silent JJ 39713 4540 14 ? ? . 39713 4541 1 See see VB 39713 4541 2 , , , 39713 4541 3 you -PRON- PRP 39713 4541 4 have have VBP 39713 4541 5 written write VBN 39713 4541 6 long long JJ 39713 4541 7 articles article NNS 39713 4541 8 ; ; : 39713 4541 9 for for IN 39713 4541 10 that that DT 39713 4541 11 , , , 39713 4541 12 it -PRON- PRP 39713 4541 13 was be VBD 39713 4541 14 necessary necessary JJ 39713 4541 15 to to TO 39713 4541 16 use use VB 39713 4541 17 words word NNS 39713 4541 18 . . . 39713 4542 1 And and CC 39713 4542 2 therein therein RB 39713 4542 3 have have VBP 39713 4542 4 you -PRON- PRP 39713 4542 5 not not RB 39713 4542 6 been be VBN 39713 4542 7 much much RB 39713 4542 8 more more JJR 39713 4542 9 ' ' `` 39713 4542 10 discursive discursive JJ 39713 4542 11 ' ' '' 39713 4542 12 and and CC 39713 4542 13 consequently consequently RB 39713 4542 14 much much RB 39713 4542 15 farther farther RB 39713 4542 16 from from IN 39713 4542 17 life life NN 39713 4542 18 and and CC 39713 4542 19 truth truth NN 39713 4542 20 than than IN 39713 4542 21 the the DT 39713 4542 22 animal animal NN 39713 4542 23 who who WP 39713 4542 24 simply simply RB 39713 4542 25 lives live VBZ 39713 4542 26 without without IN 39713 4542 27 philosophizing philosophize VBG 39713 4542 28 ? ? . 39713 4543 1 Would Would MD 39713 4543 2 not not RB 39713 4543 3 this this DT 39713 4543 4 animal animal NN 39713 4543 5 be be VB 39713 4543 6 the the DT 39713 4543 7 true true JJ 39713 4543 8 philosopher philosopher NN 39713 4543 9 ? ? . 39713 4544 1 However however RB 39713 4544 2 , , , 39713 4544 3 because because IN 39713 4544 4 no no DT 39713 4544 5 painter painter NN 39713 4544 6 has have VBZ 39713 4544 7 made make VBN 39713 4544 8 a a DT 39713 4544 9 perfect perfect JJ 39713 4544 10 portrait portrait NN 39713 4544 11 , , , 39713 4544 12 should should MD 39713 4544 13 we -PRON- PRP 39713 4544 14 conclude conclude VB 39713 4544 15 that that IN 39713 4544 16 the the DT 39713 4544 17 best good JJS 39713 4544 18 painting painting NN 39713 4544 19 is be VBZ 39713 4544 20 not not RB 39713 4544 21 to to TO 39713 4544 22 paint paint VB 39713 4544 23 ? ? . 39713 4545 1 When when WRB 39713 4545 2 a a DT 39713 4545 3 zoologist zoologist NN 39713 4545 4 dissects dissect VBZ 39713 4545 5 an an DT 39713 4545 6 animal animal NN 39713 4545 7 , , , 39713 4545 8 certainly certainly RB 39713 4545 9 he -PRON- PRP 39713 4545 10 ' ' `` 39713 4545 11 alters alter VBZ 39713 4545 12 it -PRON- PRP 39713 4545 13 . . . 39713 4545 14 ' ' '' 39713 4546 1 Yes yes UH 39713 4546 2 , , , 39713 4546 3 in in IN 39713 4546 4 dissecting dissect VBG 39713 4546 5 it -PRON- PRP 39713 4546 6 , , , 39713 4546 7 he -PRON- PRP 39713 4546 8 condemns condemn VBZ 39713 4546 9 himself -PRON- PRP 39713 4546 10 to to TO 39713 4546 11 never never RB 39713 4546 12 know know VB 39713 4546 13 all all DT 39713 4546 14 of of IN 39713 4546 15 it -PRON- PRP 39713 4546 16 ; ; : 39713 4546 17 but but CC 39713 4546 18 in in IN 39713 4546 19 not not RB 39713 4546 20 dissecting dissect VBG 39713 4546 21 it -PRON- PRP 39713 4546 22 , , , 39713 4546 23 he -PRON- PRP 39713 4546 24 would would MD 39713 4546 25 condemn condemn VB 39713 4546 26 himself -PRON- PRP 39713 4546 27 to to TO 39713 4546 28 never never RB 39713 4546 29 know know VB 39713 4546 30 anything anything NN 39713 4546 31 of of IN 39713 4546 32 it -PRON- PRP 39713 4546 33 and and CC 39713 4546 34 consequently consequently RB 39713 4546 35 to to TO 39713 4546 36 never never RB 39713 4546 37 see see VB 39713 4546 38 anything anything NN 39713 4546 39 of of IN 39713 4546 40 it -PRON- PRP 39713 4546 41 . . . 39713 4547 1 Certes certe NNS 39713 4547 2 , , , 39713 4547 3 in in IN 39713 4547 4 man man NN 39713 4547 5 are be VBP 39713 4547 6 other other JJ 39713 4547 7 forces force NNS 39713 4547 8 besides besides IN 39713 4547 9 his -PRON- PRP$ 39713 4547 10 intellect intellect NN 39713 4547 11 ; ; : 39713 4547 12 no no DT 39713 4547 13 one one NN 39713 4547 14 has have VBZ 39713 4547 15 ever ever RB 39713 4547 16 been be VBN 39713 4547 17 mad mad JJ 39713 4547 18 enough enough RB 39713 4547 19 to to TO 39713 4547 20 deny deny VB 39713 4547 21 that that DT 39713 4547 22 . . . 39713 4548 1 The the DT 39713 4548 2 first first JJ 39713 4548 3 comer comer NN 39713 4548 4 makes make VBZ 39713 4548 5 these these DT 39713 4548 6 blind blind JJ 39713 4548 7 forces forces NNPS 39713 4548 8 act act VBP 39713 4548 9 or or CC 39713 4548 10 lets let VBZ 39713 4548 11 them -PRON- PRP 39713 4548 12 act act VB 39713 4548 13 ; ; : 39713 4548 14 the the DT 39713 4548 15 philosopher philosopher NN 39713 4548 16 must must MD 39713 4548 17 _ _ NNP 39713 4548 18 speak speak VB 39713 4548 19 _ _ NNP 39713 4548 20 of of IN 39713 4548 21 them -PRON- PRP 39713 4548 22 ; ; : 39713 4548 23 to to TO 39713 4548 24 speak speak VB 39713 4548 25 of of IN 39713 4548 26 them -PRON- PRP 39713 4548 27 , , , 39713 4548 28 he -PRON- PRP 39713 4548 29 must must MD 39713 4548 30 know know VB 39713 4548 31 of of IN 39713 4548 32 them -PRON- PRP 39713 4548 33 the the DT 39713 4548 34 little little JJ 39713 4548 35 that that WDT 39713 4548 36 can can MD 39713 4548 37 be be VB 39713 4548 38 known know VBN 39713 4548 39 , , , 39713 4548 40 he -PRON- PRP 39713 4548 41 should should MD 39713 4548 42 therefore therefore RB 39713 4548 43 _ _ NNP 39713 4548 44 see see VB 39713 4548 45 _ _ IN 39713 4548 46 them -PRON- PRP 39713 4548 47 act act VBP 39713 4548 48 . . . 39713 4549 1 How how WRB 39713 4549 2 ? ? . 39713 4550 1 With with IN 39713 4550 2 what what WDT 39713 4550 3 eyes eye NNS 39713 4550 4 , , , 39713 4550 5 if if IN 39713 4550 6 not not RB 39713 4550 7 with with IN 39713 4550 8 his -PRON- PRP$ 39713 4550 9 intellect intellect NN 39713 4550 10 ? ? . 39713 4551 1 Heart heart NN 39713 4551 2 , , , 39713 4551 3 instinct instinct NN 39713 4551 4 , , , 39713 4551 5 may may MD 39713 4551 6 guide guide VB 39713 4551 7 it -PRON- PRP 39713 4551 8 , , , 39713 4551 9 but but CC 39713 4551 10 not not RB 39713 4551 11 render render VB 39713 4551 12 it -PRON- PRP 39713 4551 13 useless useless JJ 39713 4551 14 ; ; : 39713 4551 15 they -PRON- PRP 39713 4551 16 may may MD 39713 4551 17 direct direct VB 39713 4551 18 the the DT 39713 4551 19 look look NN 39713 4551 20 , , , 39713 4551 21 but but CC 39713 4551 22 not not RB 39713 4551 23 replace replace VB 39713 4551 24 the the DT 39713 4551 25 eye eye NN 39713 4551 26 . . . 39713 4552 1 It -PRON- PRP 39713 4552 2 may may MD 39713 4552 3 be be VB 39713 4552 4 granted grant VBN 39713 4552 5 that that IN 39713 4552 6 the the DT 39713 4552 7 heart heart NN 39713 4552 8 is be VBZ 39713 4552 9 the the DT 39713 4552 10 workman workman NN 39713 4552 11 , , , 39713 4552 12 and and CC 39713 4552 13 the the DT 39713 4552 14 intellect intellect NN 39713 4552 15 only only RB 39713 4552 16 the the DT 39713 4552 17 instrument instrument NN 39713 4552 18 . . . 39713 4553 1 Yet yet CC 39713 4553 2 is be VBZ 39713 4553 3 it -PRON- PRP 39713 4553 4 an an DT 39713 4553 5 instrument instrument NN 39713 4553 6 not not RB 39713 4553 7 to to TO 39713 4553 8 be be VB 39713 4553 9 done do VBN 39713 4553 10 without without IN 39713 4553 11 , , , 39713 4553 12 if if IN 39713 4553 13 not not RB 39713 4553 14 for for IN 39713 4553 15 action action NN 39713 4553 16 , , , 39713 4553 17 at at IN 39713 4553 18 least least JJS 39713 4553 19 for for IN 39713 4553 20 philosophizing philosophizing NN 39713 4553 21 ? ? . 39713 4554 1 Therefore therefore RB 39713 4554 2 a a DT 39713 4554 3 philosopher philosopher NN 39713 4554 4 really really RB 39713 4554 5 anti anti JJ 39713 4554 6 - - JJ 39713 4554 7 intellectualistic intellectualistic JJ 39713 4554 8 is be VBZ 39713 4554 9 impossible impossible JJ 39713 4554 10 . . . 39713 4555 1 Perhaps perhaps RB 39713 4555 2 we -PRON- PRP 39713 4555 3 shall shall MD 39713 4555 4 have have VB 39713 4555 5 to to TO 39713 4555 6 declare declare VB 39713 4555 7 for for IN 39713 4555 8 the the DT 39713 4555 9 supremacy supremacy NN 39713 4555 10 of of IN 39713 4555 11 action action NN 39713 4555 12 ; ; : 39713 4555 13 always always RB 39713 4555 14 it -PRON- PRP 39713 4555 15 is be VBZ 39713 4555 16 our -PRON- PRP$ 39713 4555 17 intellect intellect NN 39713 4555 18 which which WDT 39713 4555 19 will will MD 39713 4555 20 thus thus RB 39713 4555 21 conclude conclude VB 39713 4555 22 ; ; : 39713 4555 23 in in IN 39713 4555 24 allowing allow VBG 39713 4555 25 precedence precedence NN 39713 4555 26 to to TO 39713 4555 27 action action NN 39713 4555 28 it -PRON- PRP 39713 4555 29 will will MD 39713 4555 30 thus thus RB 39713 4555 31 retain retain VB 39713 4555 32 the the DT 39713 4555 33 superiority superiority NN 39713 4555 34 of of IN 39713 4555 35 the the DT 39713 4555 36 thinking thinking NN 39713 4555 37 reed reed NN 39713 4555 38 . . . 39713 4556 1 This this DT 39713 4556 2 also also RB 39713 4556 3 is be VBZ 39713 4556 4 a a DT 39713 4556 5 supremacy supremacy NN 39713 4556 6 not not RB 39713 4556 7 to to TO 39713 4556 8 be be VB 39713 4556 9 disdained disdain VBN 39713 4556 10 . . . 39713 4557 1 Pardon pardon VB 39713 4557 2 these these DT 39713 4557 3 brief brief JJ 39713 4557 4 reflections reflection NNS 39713 4557 5 and and CC 39713 4557 6 pardon pardon NN 39713 4557 7 also also RB 39713 4557 8 their -PRON- PRP$ 39713 4557 9 brevity brevity NN 39713 4557 10 , , , 39713 4557 11 scarcely scarcely RB 39713 4557 12 skimming skim VBG 39713 4557 13 the the DT 39713 4557 14 question question NN 39713 4557 15 . . . 39713 4558 1 The the DT 39713 4558 2 process process NN 39713 4558 3 of of IN 39713 4558 4 intellectualism intellectualism NN 39713 4558 5 is be VBZ 39713 4558 6 not not RB 39713 4558 7 the the DT 39713 4558 8 subject subject NN 39713 4558 9 I -PRON- PRP 39713 4558 10 wish wish VBP 39713 4558 11 to to TO 39713 4558 12 treat treat VB 39713 4558 13 : : : 39713 4558 14 I -PRON- PRP 39713 4558 15 wish wish VBP 39713 4558 16 to to TO 39713 4558 17 speak speak VB 39713 4558 18 of of IN 39713 4558 19 science science NN 39713 4558 20 , , , 39713 4558 21 and and CC 39713 4558 22 about about IN 39713 4558 23 it -PRON- PRP 39713 4558 24 there there EX 39713 4558 25 is be VBZ 39713 4558 26 no no DT 39713 4558 27 doubt doubt NN 39713 4558 28 ; ; : 39713 4558 29 by by IN 39713 4558 30 definition definition NN 39713 4558 31 , , , 39713 4558 32 so so RB 39713 4558 33 to to TO 39713 4558 34 speak speak VB 39713 4558 35 , , , 39713 4558 36 it -PRON- PRP 39713 4558 37 will will MD 39713 4558 38 be be VB 39713 4558 39 intellectualistic intellectualistic JJ 39713 4558 40 or or CC 39713 4558 41 it -PRON- PRP 39713 4558 42 will will MD 39713 4558 43 not not RB 39713 4558 44 be be VB 39713 4558 45 at at RB 39713 4558 46 all all RB 39713 4558 47 . . . 39713 4559 1 Precisely precisely RB 39713 4559 2 the the DT 39713 4559 3 question question NN 39713 4559 4 is be VBZ 39713 4559 5 , , , 39713 4559 6 whether whether IN 39713 4559 7 it -PRON- PRP 39713 4559 8 will will MD 39713 4559 9 be be VB 39713 4559 10 . . . 39713 4560 1 2 2 LS 39713 4560 2 . . . 39713 4561 1 _ _ NNP 39713 4561 2 Science Science NNP 39713 4561 3 , , , 39713 4561 4 Rule Rule NNP 39713 4561 5 of of IN 39713 4561 6 Action Action NNP 39713 4561 7 _ _ NNP 39713 4561 8 For For NNP 39713 4561 9 M. M. NNP 39713 4561 10 LeRoy LeRoy NNP 39713 4561 11 , , , 39713 4561 12 science science NN 39713 4561 13 is be VBZ 39713 4561 14 only only RB 39713 4561 15 a a DT 39713 4561 16 rule rule NN 39713 4561 17 of of IN 39713 4561 18 action action NN 39713 4561 19 . . . 39713 4562 1 We -PRON- PRP 39713 4562 2 are be VBP 39713 4562 3 powerless powerless JJ 39713 4562 4 to to TO 39713 4562 5 know know VB 39713 4562 6 anything anything NN 39713 4562 7 and and CC 39713 4562 8 yet yet RB 39713 4562 9 we -PRON- PRP 39713 4562 10 are be VBP 39713 4562 11 launched launch VBN 39713 4562 12 , , , 39713 4562 13 we -PRON- PRP 39713 4562 14 must must MD 39713 4562 15 act act VB 39713 4562 16 , , , 39713 4562 17 and and CC 39713 4562 18 at at IN 39713 4562 19 all all DT 39713 4562 20 hazards hazard NNS 39713 4562 21 we -PRON- PRP 39713 4562 22 have have VBP 39713 4562 23 established establish VBN 39713 4562 24 rules rule NNS 39713 4562 25 . . . 39713 4563 1 It -PRON- PRP 39713 4563 2 is be VBZ 39713 4563 3 the the DT 39713 4563 4 aggregate aggregate NN 39713 4563 5 of of IN 39713 4563 6 these these DT 39713 4563 7 rules rule NNS 39713 4563 8 that that WDT 39713 4563 9 is be VBZ 39713 4563 10 called call VBN 39713 4563 11 science science NN 39713 4563 12 . . . 39713 4564 1 It -PRON- PRP 39713 4564 2 is be VBZ 39713 4564 3 thus thus RB 39713 4564 4 that that IN 39713 4564 5 men man NNS 39713 4564 6 , , , 39713 4564 7 desirous desirous JJ 39713 4564 8 of of IN 39713 4564 9 diversion diversion NN 39713 4564 10 , , , 39713 4564 11 have have VBP 39713 4564 12 instituted institute VBN 39713 4564 13 rules rule NNS 39713 4564 14 of of IN 39713 4564 15 play play NN 39713 4564 16 , , , 39713 4564 17 like like IN 39713 4564 18 those those DT 39713 4564 19 of of IN 39713 4564 20 tric tric NNP 39713 4564 21 - - HYPH 39713 4564 22 trac trac NN 39713 4564 23 for for IN 39713 4564 24 instance instance NN 39713 4564 25 , , , 39713 4564 26 which which WDT 39713 4564 27 , , , 39713 4564 28 better well JJR 39713 4564 29 than than IN 39713 4564 30 science science NN 39713 4564 31 itself -PRON- PRP 39713 4564 32 , , , 39713 4564 33 could could MD 39713 4564 34 rely rely VB 39713 4564 35 upon upon IN 39713 4564 36 the the DT 39713 4564 37 proof proof NN 39713 4564 38 by by IN 39713 4564 39 universal universal JJ 39713 4564 40 consent consent NN 39713 4564 41 . . . 39713 4565 1 It -PRON- PRP 39713 4565 2 is be VBZ 39713 4565 3 thus thus RB 39713 4565 4 likewise likewise RB 39713 4565 5 that that DT 39713 4565 6 , , , 39713 4565 7 unable unable JJ 39713 4565 8 to to TO 39713 4565 9 choose choose VB 39713 4565 10 , , , 39713 4565 11 but but CC 39713 4565 12 forced force VBN 39713 4565 13 to to TO 39713 4565 14 choose choose VB 39713 4565 15 , , , 39713 4565 16 we -PRON- PRP 39713 4565 17 toss toss VBP 39713 4565 18 up up RP 39713 4565 19 a a DT 39713 4565 20 coin coin NN 39713 4565 21 , , , 39713 4565 22 head head NN 39713 4565 23 or or CC 39713 4565 24 tail tail NN 39713 4565 25 to to TO 39713 4565 26 win win VB 39713 4565 27 . . . 39713 4566 1 The the DT 39713 4566 2 rule rule NN 39713 4566 3 of of IN 39713 4566 4 tric tric NNP 39713 4566 5 - - HYPH 39713 4566 6 trac trac NN 39713 4566 7 is be VBZ 39713 4566 8 indeed indeed RB 39713 4566 9 a a DT 39713 4566 10 rule rule NN 39713 4566 11 of of IN 39713 4566 12 action action NN 39713 4566 13 like like IN 39713 4566 14 science science NN 39713 4566 15 , , , 39713 4566 16 but but CC 39713 4566 17 does do VBZ 39713 4566 18 any any DT 39713 4566 19 one one NN 39713 4566 20 think think VB 39713 4566 21 the the DT 39713 4566 22 comparison comparison NN 39713 4566 23 just just RB 39713 4566 24 and and CC 39713 4566 25 not not RB 39713 4566 26 see see VB 39713 4566 27 the the DT 39713 4566 28 difference difference NN 39713 4566 29 ? ? . 39713 4567 1 The the DT 39713 4567 2 rules rule NNS 39713 4567 3 of of IN 39713 4567 4 the the DT 39713 4567 5 game game NN 39713 4567 6 are be VBP 39713 4567 7 arbitrary arbitrary JJ 39713 4567 8 conventions convention NNS 39713 4567 9 and and CC 39713 4567 10 the the DT 39713 4567 11 contrary contrary JJ 39713 4567 12 convention convention NN 39713 4567 13 might may MD 39713 4567 14 have have VB 39713 4567 15 been be VBN 39713 4567 16 adopted adopt VBN 39713 4567 17 , , , 39713 4567 18 _ _ NNP 39713 4567 19 which which WDT 39713 4567 20 would would MD 39713 4567 21 have have VB 39713 4567 22 been be VBN 39713 4567 23 none none NN 39713 4567 24 the the DT 39713 4567 25 less less RBR 39713 4567 26 good good JJ 39713 4567 27 _ _ NNP 39713 4567 28 . . . 39713 4568 1 On on IN 39713 4568 2 the the DT 39713 4568 3 contrary contrary NN 39713 4568 4 , , , 39713 4568 5 science science NN 39713 4568 6 is be VBZ 39713 4568 7 a a DT 39713 4568 8 rule rule NN 39713 4568 9 of of IN 39713 4568 10 action action NN 39713 4568 11 which which WDT 39713 4568 12 is be VBZ 39713 4568 13 successful successful JJ 39713 4568 14 , , , 39713 4568 15 generally generally RB 39713 4568 16 at at IN 39713 4568 17 least least JJS 39713 4568 18 , , , 39713 4568 19 and and CC 39713 4568 20 I -PRON- PRP 39713 4568 21 add add VBP 39713 4568 22 , , , 39713 4568 23 while while IN 39713 4568 24 the the DT 39713 4568 25 contrary contrary JJ 39713 4568 26 rule rule NN 39713 4568 27 would would MD 39713 4568 28 not not RB 39713 4568 29 have have VB 39713 4568 30 succeeded succeed VBN 39713 4568 31 . . . 39713 4569 1 If if IN 39713 4569 2 I -PRON- PRP 39713 4569 3 say say VBP 39713 4569 4 , , , 39713 4569 5 to to TO 39713 4569 6 make make VB 39713 4569 7 hydrogen hydrogen NN 39713 4569 8 cause cause VB 39713 4569 9 an an DT 39713 4569 10 acid acid NN 39713 4569 11 to to TO 39713 4569 12 act act VB 39713 4569 13 on on IN 39713 4569 14 zinc zinc NN 39713 4569 15 , , , 39713 4569 16 I -PRON- PRP 39713 4569 17 formulate formulate VBP 39713 4569 18 a a DT 39713 4569 19 rule rule NN 39713 4569 20 which which WDT 39713 4569 21 succeeds succeed VBZ 39713 4569 22 ; ; : 39713 4569 23 I -PRON- PRP 39713 4569 24 could could MD 39713 4569 25 have have VB 39713 4569 26 said say VBD 39713 4569 27 , , , 39713 4569 28 make make VB 39713 4569 29 distilled distilled JJ 39713 4569 30 water water NN 39713 4569 31 act act VB 39713 4569 32 on on IN 39713 4569 33 gold gold NN 39713 4569 34 ; ; : 39713 4569 35 that that DT 39713 4569 36 also also RB 39713 4569 37 would would MD 39713 4569 38 have have VB 39713 4569 39 been be VBN 39713 4569 40 a a DT 39713 4569 41 rule rule NN 39713 4569 42 , , , 39713 4569 43 only only RB 39713 4569 44 it -PRON- PRP 39713 4569 45 would would MD 39713 4569 46 not not RB 39713 4569 47 have have VB 39713 4569 48 succeeded succeed VBN 39713 4569 49 . . . 39713 4570 1 If if IN 39713 4570 2 , , , 39713 4570 3 therefore therefore RB 39713 4570 4 , , , 39713 4570 5 scientific scientific JJ 39713 4570 6 ' ' `` 39713 4570 7 recipes recipe NNS 39713 4570 8 ' ' '' 39713 4570 9 have have VBP 39713 4570 10 a a DT 39713 4570 11 value value NN 39713 4570 12 , , , 39713 4570 13 as as IN 39713 4570 14 rule rule NN 39713 4570 15 of of IN 39713 4570 16 action action NN 39713 4570 17 , , , 39713 4570 18 it -PRON- PRP 39713 4570 19 is be VBZ 39713 4570 20 because because IN 39713 4570 21 we -PRON- PRP 39713 4570 22 know know VBP 39713 4570 23 they -PRON- PRP 39713 4570 24 succeed succeed VBP 39713 4570 25 , , , 39713 4570 26 generally generally RB 39713 4570 27 at at IN 39713 4570 28 least least JJS 39713 4570 29 . . . 39713 4571 1 But but CC 39713 4571 2 to to TO 39713 4571 3 know know VB 39713 4571 4 this this DT 39713 4571 5 is be VBZ 39713 4571 6 to to TO 39713 4571 7 know know VB 39713 4571 8 something something NN 39713 4571 9 and and CC 39713 4571 10 then then RB 39713 4571 11 why why WRB 39713 4571 12 tell tell VB 39713 4571 13 us -PRON- PRP 39713 4571 14 we -PRON- PRP 39713 4571 15 can can MD 39713 4571 16 know know VB 39713 4571 17 nothing nothing NN 39713 4571 18 ? ? . 39713 4572 1 Science science NN 39713 4572 2 foresees foresee NNS 39713 4572 3 , , , 39713 4572 4 and and CC 39713 4572 5 it -PRON- PRP 39713 4572 6 is be VBZ 39713 4572 7 because because IN 39713 4572 8 it -PRON- PRP 39713 4572 9 foresees foresee VBZ 39713 4572 10 that that IN 39713 4572 11 it -PRON- PRP 39713 4572 12 can can MD 39713 4572 13 be be VB 39713 4572 14 useful useful JJ 39713 4572 15 and and CC 39713 4572 16 serve serve VB 39713 4572 17 as as IN 39713 4572 18 rule rule NN 39713 4572 19 of of IN 39713 4572 20 action action NN 39713 4572 21 . . . 39713 4573 1 I -PRON- PRP 39713 4573 2 well well RB 39713 4573 3 know know VBP 39713 4573 4 that that IN 39713 4573 5 its -PRON- PRP$ 39713 4573 6 previsions prevision NNS 39713 4573 7 are be VBP 39713 4573 8 often often RB 39713 4573 9 contradicted contradict VBN 39713 4573 10 by by IN 39713 4573 11 the the DT 39713 4573 12 event event NN 39713 4573 13 ; ; : 39713 4573 14 that that DT 39713 4573 15 shows show VBZ 39713 4573 16 that that IN 39713 4573 17 science science NN 39713 4573 18 is be VBZ 39713 4573 19 imperfect imperfect JJ 39713 4573 20 , , , 39713 4573 21 and and CC 39713 4573 22 if if IN 39713 4573 23 I -PRON- PRP 39713 4573 24 add add VBP 39713 4573 25 that that IN 39713 4573 26 it -PRON- PRP 39713 4573 27 will will MD 39713 4573 28 always always RB 39713 4573 29 remain remain VB 39713 4573 30 so so RB 39713 4573 31 , , , 39713 4573 32 I -PRON- PRP 39713 4573 33 am be VBP 39713 4573 34 certain certain JJ 39713 4573 35 that that IN 39713 4573 36 this this DT 39713 4573 37 is be VBZ 39713 4573 38 a a DT 39713 4573 39 prevision prevision NN 39713 4573 40 which which WDT 39713 4573 41 , , , 39713 4573 42 at at IN 39713 4573 43 least least JJS 39713 4573 44 , , , 39713 4573 45 will will MD 39713 4573 46 never never RB 39713 4573 47 be be VB 39713 4573 48 contradicted contradict VBN 39713 4573 49 . . . 39713 4574 1 Always always RB 39713 4574 2 the the DT 39713 4574 3 scientist scientist NN 39713 4574 4 is be VBZ 39713 4574 5 less less RBR 39713 4574 6 often often RB 39713 4574 7 mistaken mistaken JJ 39713 4574 8 than than IN 39713 4574 9 a a DT 39713 4574 10 prophet prophet NN 39713 4574 11 who who WP 39713 4574 12 should should MD 39713 4574 13 predict predict VB 39713 4574 14 at at IN 39713 4574 15 random random JJ 39713 4574 16 . . . 39713 4575 1 Besides besides IN 39713 4575 2 the the DT 39713 4575 3 progress progress NN 39713 4575 4 though though IN 39713 4575 5 slow slow JJ 39713 4575 6 is be VBZ 39713 4575 7 continuous continuous JJ 39713 4575 8 , , , 39713 4575 9 so so IN 39713 4575 10 that that IN 39713 4575 11 scientists scientist NNS 39713 4575 12 , , , 39713 4575 13 though though IN 39713 4575 14 more more JJR 39713 4575 15 and and CC 39713 4575 16 more more RBR 39713 4575 17 bold bold JJ 39713 4575 18 , , , 39713 4575 19 are be VBP 39713 4575 20 less less RBR 39713 4575 21 and and CC 39713 4575 22 less less RBR 39713 4575 23 misled misled JJ 39713 4575 24 . . . 39713 4576 1 This this DT 39713 4576 2 is be VBZ 39713 4576 3 little little JJ 39713 4576 4 , , , 39713 4576 5 but but CC 39713 4576 6 it -PRON- PRP 39713 4576 7 is be VBZ 39713 4576 8 enough enough JJ 39713 4576 9 . . . 39713 4577 1 I -PRON- PRP 39713 4577 2 well well RB 39713 4577 3 know know VBP 39713 4577 4 that that IN 39713 4577 5 M. M. NNP 39713 4577 6 LeRoy LeRoy NNP 39713 4577 7 has have VBZ 39713 4577 8 somewhere somewhere RB 39713 4577 9 said say VBN 39713 4577 10 that that IN 39713 4577 11 science science NN 39713 4577 12 was be VBD 39713 4577 13 mistaken mistake VBN 39713 4577 14 oftener oftener RB 39713 4577 15 than than IN 39713 4577 16 one one CD 39713 4577 17 thought thought NN 39713 4577 18 , , , 39713 4577 19 that that IN 39713 4577 20 comets comet NNS 39713 4577 21 sometimes sometimes RB 39713 4577 22 played play VBD 39713 4577 23 tricks trick NNS 39713 4577 24 on on IN 39713 4577 25 astronomers astronomer NNS 39713 4577 26 , , , 39713 4577 27 that that IN 39713 4577 28 scientists scientist NNS 39713 4577 29 , , , 39713 4577 30 who who WP 39713 4577 31 apparently apparently RB 39713 4577 32 are be VBP 39713 4577 33 men man NNS 39713 4577 34 , , , 39713 4577 35 did do VBD 39713 4577 36 not not RB 39713 4577 37 willingly willingly RB 39713 4577 38 speak speak VB 39713 4577 39 of of IN 39713 4577 40 their -PRON- PRP$ 39713 4577 41 failures failure NNS 39713 4577 42 , , , 39713 4577 43 and and CC 39713 4577 44 that that IN 39713 4577 45 , , , 39713 4577 46 if if IN 39713 4577 47 they -PRON- PRP 39713 4577 48 should should MD 39713 4577 49 speak speak VB 39713 4577 50 of of IN 39713 4577 51 them -PRON- PRP 39713 4577 52 , , , 39713 4577 53 they -PRON- PRP 39713 4577 54 would would MD 39713 4577 55 have have VB 39713 4577 56 to to TO 39713 4577 57 count count VB 39713 4577 58 more more JJR 39713 4577 59 defeats defeat NNS 39713 4577 60 than than IN 39713 4577 61 victories victory NNS 39713 4577 62 . . . 39713 4578 1 That that DT 39713 4578 2 day day NN 39713 4578 3 , , , 39713 4578 4 M. M. NNP 39713 4578 5 LeRoy LeRoy NNP 39713 4578 6 evidently evidently RB 39713 4578 7 overreached overreach VBD 39713 4578 8 himself -PRON- PRP 39713 4578 9 . . . 39713 4579 1 If if IN 39713 4579 2 science science NN 39713 4579 3 did do VBD 39713 4579 4 not not RB 39713 4579 5 succeed succeed VB 39713 4579 6 , , , 39713 4579 7 it -PRON- PRP 39713 4579 8 could could MD 39713 4579 9 not not RB 39713 4579 10 serve serve VB 39713 4579 11 as as IN 39713 4579 12 rule rule NN 39713 4579 13 of of IN 39713 4579 14 action action NN 39713 4579 15 ; ; : 39713 4579 16 whence whence NN 39713 4579 17 would would MD 39713 4579 18 it -PRON- PRP 39713 4579 19 get get VB 39713 4579 20 its -PRON- PRP$ 39713 4579 21 value value NN 39713 4579 22 ? ? . 39713 4580 1 Because because IN 39713 4580 2 it -PRON- PRP 39713 4580 3 is be VBZ 39713 4580 4 ' ' `` 39713 4580 5 lived live VBN 39713 4580 6 , , , 39713 4580 7 ' ' '' 39713 4580 8 that that RB 39713 4580 9 is be VBZ 39713 4580 10 , , , 39713 4580 11 because because IN 39713 4580 12 we -PRON- PRP 39713 4580 13 love love VBP 39713 4580 14 it -PRON- PRP 39713 4580 15 and and CC 39713 4580 16 believe believe VBP 39713 4580 17 in in IN 39713 4580 18 it -PRON- PRP 39713 4580 19 ? ? . 39713 4581 1 The the DT 39713 4581 2 alchemists alchemist NNS 39713 4581 3 had have VBD 39713 4581 4 recipes recipe NNS 39713 4581 5 for for IN 39713 4581 6 making make VBG 39713 4581 7 gold gold NN 39713 4581 8 , , , 39713 4581 9 they -PRON- PRP 39713 4581 10 loved love VBD 39713 4581 11 them -PRON- PRP 39713 4581 12 and and CC 39713 4581 13 had have VBD 39713 4581 14 faith faith NN 39713 4581 15 in in IN 39713 4581 16 them -PRON- PRP 39713 4581 17 , , , 39713 4581 18 and and CC 39713 4581 19 yet yet RB 39713 4581 20 our -PRON- PRP$ 39713 4581 21 recipes recipe NNS 39713 4581 22 are be VBP 39713 4581 23 the the DT 39713 4581 24 good good JJ 39713 4581 25 ones one NNS 39713 4581 26 , , , 39713 4581 27 although although IN 39713 4581 28 our -PRON- PRP$ 39713 4581 29 faith faith NN 39713 4581 30 be be VBP 39713 4581 31 less less RBR 39713 4581 32 lively lively JJ 39713 4581 33 , , , 39713 4581 34 because because IN 39713 4581 35 they -PRON- PRP 39713 4581 36 succeed succeed VBP 39713 4581 37 . . . 39713 4582 1 There there EX 39713 4582 2 is be VBZ 39713 4582 3 no no DT 39713 4582 4 escape escape NN 39713 4582 5 from from IN 39713 4582 6 this this DT 39713 4582 7 dilemma dilemma NN 39713 4582 8 ; ; : 39713 4582 9 either either CC 39713 4582 10 science science NN 39713 4582 11 does do VBZ 39713 4582 12 not not RB 39713 4582 13 enable enable VB 39713 4582 14 us -PRON- PRP 39713 4582 15 to to TO 39713 4582 16 foresee foresee VB 39713 4582 17 , , , 39713 4582 18 and and CC 39713 4582 19 then then RB 39713 4582 20 it -PRON- PRP 39713 4582 21 is be VBZ 39713 4582 22 valueless valueless JJ 39713 4582 23 as as IN 39713 4582 24 rule rule NN 39713 4582 25 of of IN 39713 4582 26 action action NN 39713 4582 27 ; ; : 39713 4582 28 or or CC 39713 4582 29 else else RB 39713 4582 30 it -PRON- PRP 39713 4582 31 enables enable VBZ 39713 4582 32 us -PRON- PRP 39713 4582 33 to to TO 39713 4582 34 foresee foresee VB 39713 4582 35 , , , 39713 4582 36 in in IN 39713 4582 37 a a DT 39713 4582 38 fashion fashion NN 39713 4582 39 more more RBR 39713 4582 40 or or CC 39713 4582 41 less less RBR 39713 4582 42 imperfect imperfect JJ 39713 4582 43 , , , 39713 4582 44 and and CC 39713 4582 45 then then RB 39713 4582 46 it -PRON- PRP 39713 4582 47 is be VBZ 39713 4582 48 not not RB 39713 4582 49 without without IN 39713 4582 50 value value NN 39713 4582 51 as as IN 39713 4582 52 means mean NNS 39713 4582 53 of of IN 39713 4582 54 knowledge knowledge NN 39713 4582 55 . . . 39713 4583 1 It -PRON- PRP 39713 4583 2 should should MD 39713 4583 3 not not RB 39713 4583 4 even even RB 39713 4583 5 be be VB 39713 4583 6 said say VBN 39713 4583 7 that that IN 39713 4583 8 action action NN 39713 4583 9 is be VBZ 39713 4583 10 the the DT 39713 4583 11 goal goal NN 39713 4583 12 of of IN 39713 4583 13 science science NN 39713 4583 14 ; ; : 39713 4583 15 should should MD 39713 4583 16 we -PRON- PRP 39713 4583 17 condemn condemn VB 39713 4583 18 studies study NNS 39713 4583 19 of of IN 39713 4583 20 the the DT 39713 4583 21 star star NN 39713 4583 22 Sirius Sirius NNP 39713 4583 23 , , , 39713 4583 24 under under IN 39713 4583 25 pretext pretext NN 39713 4583 26 that that IN 39713 4583 27 we -PRON- PRP 39713 4583 28 shall shall MD 39713 4583 29 probably probably RB 39713 4583 30 never never RB 39713 4583 31 exercise exercise VB 39713 4583 32 any any DT 39713 4583 33 influence influence NN 39713 4583 34 on on IN 39713 4583 35 that that DT 39713 4583 36 star star NN 39713 4583 37 ? ? . 39713 4584 1 To to IN 39713 4584 2 my -PRON- PRP$ 39713 4584 3 eyes eye NNS 39713 4584 4 , , , 39713 4584 5 on on IN 39713 4584 6 the the DT 39713 4584 7 contrary contrary NN 39713 4584 8 , , , 39713 4584 9 it -PRON- PRP 39713 4584 10 is be VBZ 39713 4584 11 the the DT 39713 4584 12 knowledge knowledge NN 39713 4584 13 which which WDT 39713 4584 14 is be VBZ 39713 4584 15 the the DT 39713 4584 16 end end NN 39713 4584 17 , , , 39713 4584 18 and and CC 39713 4584 19 the the DT 39713 4584 20 action action NN 39713 4584 21 which which WDT 39713 4584 22 is be VBZ 39713 4584 23 the the DT 39713 4584 24 means mean NNS 39713 4584 25 . . . 39713 4585 1 If if IN 39713 4585 2 I -PRON- PRP 39713 4585 3 felicitate felicitate VBP 39713 4585 4 myself -PRON- PRP 39713 4585 5 on on IN 39713 4585 6 the the DT 39713 4585 7 industrial industrial JJ 39713 4585 8 development development NN 39713 4585 9 , , , 39713 4585 10 it -PRON- PRP 39713 4585 11 is be VBZ 39713 4585 12 not not RB 39713 4585 13 alone alone JJ 39713 4585 14 because because IN 39713 4585 15 it -PRON- PRP 39713 4585 16 furnishes furnish VBZ 39713 4585 17 a a DT 39713 4585 18 facile facile JJ 39713 4585 19 argument argument NN 39713 4585 20 to to IN 39713 4585 21 the the DT 39713 4585 22 advocates advocate NNS 39713 4585 23 of of IN 39713 4585 24 science science NN 39713 4585 25 ; ; : 39713 4585 26 it -PRON- PRP 39713 4585 27 is be VBZ 39713 4585 28 above above IN 39713 4585 29 all all DT 39713 4585 30 because because IN 39713 4585 31 it -PRON- PRP 39713 4585 32 gives give VBZ 39713 4585 33 to to IN 39713 4585 34 the the DT 39713 4585 35 scientist scientist NN 39713 4585 36 faith faith NN 39713 4585 37 in in IN 39713 4585 38 himself -PRON- PRP 39713 4585 39 and and CC 39713 4585 40 also also RB 39713 4585 41 because because IN 39713 4585 42 it -PRON- PRP 39713 4585 43 offers offer VBZ 39713 4585 44 him -PRON- PRP 39713 4585 45 an an DT 39713 4585 46 immense immense JJ 39713 4585 47 field field NN 39713 4585 48 of of IN 39713 4585 49 experience experience NN 39713 4585 50 where where WRB 39713 4585 51 he -PRON- PRP 39713 4585 52 clashes clash VBZ 39713 4585 53 against against IN 39713 4585 54 forces force NNS 39713 4585 55 too too RB 39713 4585 56 colossal colossal JJ 39713 4585 57 to to TO 39713 4585 58 be be VB 39713 4585 59 tampered tamper VBN 39713 4585 60 with with IN 39713 4585 61 . . . 39713 4586 1 Without without IN 39713 4586 2 this this DT 39713 4586 3 ballast ballast NN 39713 4586 4 , , , 39713 4586 5 who who WP 39713 4586 6 knows know VBZ 39713 4586 7 whether whether IN 39713 4586 8 he -PRON- PRP 39713 4586 9 would would MD 39713 4586 10 not not RB 39713 4586 11 quit quit VB 39713 4586 12 solid solid JJ 39713 4586 13 ground ground NN 39713 4586 14 , , , 39713 4586 15 seduced seduce VBN 39713 4586 16 by by IN 39713 4586 17 the the DT 39713 4586 18 mirage mirage NN 39713 4586 19 of of IN 39713 4586 20 some some DT 39713 4586 21 scholastic scholastic JJ 39713 4586 22 novelty novelty NN 39713 4586 23 , , , 39713 4586 24 or or CC 39713 4586 25 whether whether IN 39713 4586 26 he -PRON- PRP 39713 4586 27 would would MD 39713 4586 28 not not RB 39713 4586 29 despair despair VB 39713 4586 30 , , , 39713 4586 31 believing believe VBG 39713 4586 32 he -PRON- PRP 39713 4586 33 had have VBD 39713 4586 34 fashioned fashion VBN 39713 4586 35 only only RB 39713 4586 36 a a DT 39713 4586 37 dream dream NN 39713 4586 38 ? ? . 39713 4587 1 3 3 LS 39713 4587 2 . . . 39713 4588 1 _ _ NNP 39713 4588 2 The the DT 39713 4588 3 Crude Crude NNP 39713 4588 4 Fact Fact NNP 39713 4588 5 and and CC 39713 4588 6 the the DT 39713 4588 7 Scientific Scientific NNP 39713 4588 8 Fact Fact NNP 39713 4588 9 _ _ NNP 39713 4588 10 What what WP 39713 4588 11 was be VBD 39713 4588 12 most most RBS 39713 4588 13 paradoxical paradoxical JJ 39713 4588 14 in in IN 39713 4588 15 M. M. NNP 39713 4588 16 LeRoy LeRoy NNP 39713 4588 17 's 's POS 39713 4588 18 thesis thesis NN 39713 4588 19 was be VBD 39713 4588 20 that that IN 39713 4588 21 affirmation affirmation NN 39713 4588 22 that that IN 39713 4588 23 _ _ NNP 39713 4588 24 the the DT 39713 4588 25 scientist scientist NN 39713 4588 26 creates create VBZ 39713 4588 27 the the DT 39713 4588 28 fact fact NN 39713 4588 29 _ _ NN 39713 4588 30 ; ; : 39713 4588 31 this this DT 39713 4588 32 was be VBD 39713 4588 33 at at IN 39713 4588 34 the the DT 39713 4588 35 same same JJ 39713 4588 36 time time NN 39713 4588 37 its -PRON- PRP$ 39713 4588 38 essential essential JJ 39713 4588 39 point point NN 39713 4588 40 and and CC 39713 4588 41 it -PRON- PRP 39713 4588 42 is be VBZ 39713 4588 43 one one CD 39713 4588 44 of of IN 39713 4588 45 those those DT 39713 4588 46 which which WDT 39713 4588 47 have have VBP 39713 4588 48 been be VBN 39713 4588 49 most most RBS 39713 4588 50 discussed discuss VBN 39713 4588 51 . . . 39713 4589 1 Perhaps perhaps RB 39713 4589 2 , , , 39713 4589 3 says say VBZ 39713 4589 4 he -PRON- PRP 39713 4589 5 ( ( -LRB- 39713 4589 6 I -PRON- PRP 39713 4589 7 well well RB 39713 4589 8 believe believe VBP 39713 4589 9 that that IN 39713 4589 10 this this DT 39713 4589 11 was be VBD 39713 4589 12 a a DT 39713 4589 13 concession concession NN 39713 4589 14 ) ) -RRB- 39713 4589 15 , , , 39713 4589 16 it -PRON- PRP 39713 4589 17 is be VBZ 39713 4589 18 not not RB 39713 4589 19 the the DT 39713 4589 20 scientist scientist NN 39713 4589 21 that that WDT 39713 4589 22 creates create VBZ 39713 4589 23 the the DT 39713 4589 24 fact fact NN 39713 4589 25 in in IN 39713 4589 26 the the DT 39713 4589 27 rough rough JJ 39713 4589 28 ; ; : 39713 4589 29 it -PRON- PRP 39713 4589 30 is be VBZ 39713 4589 31 at at IN 39713 4589 32 least least JJS 39713 4589 33 he -PRON- PRP 39713 4589 34 who who WP 39713 4589 35 creates create VBZ 39713 4589 36 the the DT 39713 4589 37 scientific scientific JJ 39713 4589 38 fact fact NN 39713 4589 39 . . . 39713 4590 1 This this DT 39713 4590 2 distinction distinction NN 39713 4590 3 between between IN 39713 4590 4 the the DT 39713 4590 5 fact fact NN 39713 4590 6 in in IN 39713 4590 7 the the DT 39713 4590 8 rough rough JJ 39713 4590 9 and and CC 39713 4590 10 the the DT 39713 4590 11 scientific scientific JJ 39713 4590 12 fact fact NN 39713 4590 13 does do VBZ 39713 4590 14 not not RB 39713 4590 15 by by IN 39713 4590 16 itself -PRON- PRP 39713 4590 17 appear appear VB 39713 4590 18 to to IN 39713 4590 19 me -PRON- PRP 39713 4590 20 illegitimate illegitimate JJ 39713 4590 21 . . . 39713 4591 1 But but CC 39713 4591 2 I -PRON- PRP 39713 4591 3 complain complain VBP 39713 4591 4 first first RB 39713 4591 5 that that IN 39713 4591 6 the the DT 39713 4591 7 boundary boundary NN 39713 4591 8 has have VBZ 39713 4591 9 not not RB 39713 4591 10 been be VBN 39713 4591 11 traced trace VBN 39713 4591 12 either either CC 39713 4591 13 exactly exactly RB 39713 4591 14 or or CC 39713 4591 15 precisely precisely RB 39713 4591 16 ; ; : 39713 4591 17 and and CC 39713 4591 18 then then RB 39713 4591 19 that that IN 39713 4591 20 the the DT 39713 4591 21 author author NN 39713 4591 22 has have VBZ 39713 4591 23 seemed seem VBN 39713 4591 24 to to TO 39713 4591 25 suppose suppose VB 39713 4591 26 that that IN 39713 4591 27 the the DT 39713 4591 28 crude crude JJ 39713 4591 29 fact fact NN 39713 4591 30 , , , 39713 4591 31 not not RB 39713 4591 32 being be VBG 39713 4591 33 scientific scientific JJ 39713 4591 34 , , , 39713 4591 35 is be VBZ 39713 4591 36 outside outside RB 39713 4591 37 of of IN 39713 4591 38 science science NN 39713 4591 39 . . . 39713 4592 1 Finally finally RB 39713 4592 2 , , , 39713 4592 3 I -PRON- PRP 39713 4592 4 can can MD 39713 4592 5 not not RB 39713 4592 6 admit admit VB 39713 4592 7 that that IN 39713 4592 8 the the DT 39713 4592 9 scientist scientist NN 39713 4592 10 creates create VBZ 39713 4592 11 without without IN 39713 4592 12 restraint restraint NN 39713 4592 13 the the DT 39713 4592 14 scientific scientific JJ 39713 4592 15 fact fact NN 39713 4592 16 , , , 39713 4592 17 since since IN 39713 4592 18 it -PRON- PRP 39713 4592 19 is be VBZ 39713 4592 20 the the DT 39713 4592 21 crude crude JJ 39713 4592 22 fact fact NN 39713 4592 23 which which WDT 39713 4592 24 imposes impose VBZ 39713 4592 25 it -PRON- PRP 39713 4592 26 upon upon IN 39713 4592 27 him -PRON- PRP 39713 4592 28 . . . 39713 4593 1 The the DT 39713 4593 2 examples example NNS 39713 4593 3 given give VBN 39713 4593 4 by by IN 39713 4593 5 M. M. NNP 39713 4593 6 LeRoy LeRoy NNP 39713 4593 7 have have VBP 39713 4593 8 greatly greatly RB 39713 4593 9 astonished astonish VBN 39713 4593 10 me -PRON- PRP 39713 4593 11 . . . 39713 4594 1 The the DT 39713 4594 2 first first JJ 39713 4594 3 is be VBZ 39713 4594 4 taken take VBN 39713 4594 5 from from IN 39713 4594 6 the the DT 39713 4594 7 notion notion NN 39713 4594 8 of of IN 39713 4594 9 atom atom NN 39713 4594 10 . . . 39713 4595 1 The the DT 39713 4595 2 atom atom NN 39713 4595 3 chosen choose VBN 39713 4595 4 as as IN 39713 4595 5 example example NN 39713 4595 6 of of IN 39713 4595 7 fact fact NN 39713 4595 8 ! ! . 39713 4596 1 I -PRON- PRP 39713 4596 2 avow avow VBP 39713 4596 3 that that IN 39713 4596 4 this this DT 39713 4596 5 choice choice NN 39713 4596 6 has have VBZ 39713 4596 7 so so RB 39713 4596 8 disconcerted disconcert VBN 39713 4596 9 me -PRON- PRP 39713 4596 10 that that IN 39713 4596 11 I -PRON- PRP 39713 4596 12 prefer prefer VBP 39713 4596 13 to to TO 39713 4596 14 say say VB 39713 4596 15 nothing nothing NN 39713 4596 16 about about IN 39713 4596 17 it -PRON- PRP 39713 4596 18 . . . 39713 4597 1 I -PRON- PRP 39713 4597 2 have have VBP 39713 4597 3 evidently evidently RB 39713 4597 4 misunderstood misunderstand VBN 39713 4597 5 the the DT 39713 4597 6 author author NN 39713 4597 7 's 's POS 39713 4597 8 thought thought NN 39713 4597 9 and and CC 39713 4597 10 I -PRON- PRP 39713 4597 11 could could MD 39713 4597 12 not not RB 39713 4597 13 fruitfully fruitfully RB 39713 4597 14 discuss discuss VB 39713 4597 15 it -PRON- PRP 39713 4597 16 . . . 39713 4598 1 The the DT 39713 4598 2 second second JJ 39713 4598 3 case case NN 39713 4598 4 taken take VBN 39713 4598 5 as as IN 39713 4598 6 example example NN 39713 4598 7 is be VBZ 39713 4598 8 that that DT 39713 4598 9 of of IN 39713 4598 10 an an DT 39713 4598 11 eclipse eclipse NN 39713 4598 12 where where WRB 39713 4598 13 the the DT 39713 4598 14 crude crude JJ 39713 4598 15 phenomenon phenomenon NN 39713 4598 16 is be VBZ 39713 4598 17 a a DT 39713 4598 18 play play NN 39713 4598 19 of of IN 39713 4598 20 light light NN 39713 4598 21 and and CC 39713 4598 22 shadow shadow NN 39713 4598 23 , , , 39713 4598 24 but but CC 39713 4598 25 where where WRB 39713 4598 26 the the DT 39713 4598 27 astronomer astronomer NN 39713 4598 28 can can MD 39713 4598 29 not not RB 39713 4598 30 intervene intervene VB 39713 4598 31 without without IN 39713 4598 32 introducing introduce VBG 39713 4598 33 two two CD 39713 4598 34 foreign foreign JJ 39713 4598 35 elements element NNS 39713 4598 36 , , , 39713 4598 37 to to IN 39713 4598 38 wit wit NN 39713 4598 39 , , , 39713 4598 40 a a DT 39713 4598 41 clock clock NN 39713 4598 42 and and CC 39713 4598 43 Newton Newton NNP 39713 4598 44 's 's POS 39713 4598 45 law law NN 39713 4598 46 . . . 39713 4599 1 Finally finally RB 39713 4599 2 , , , 39713 4599 3 M. M. NNP 39713 4599 4 LeRoy LeRoy NNP 39713 4599 5 cites cite VBZ 39713 4599 6 the the DT 39713 4599 7 rotation rotation NN 39713 4599 8 of of IN 39713 4599 9 the the DT 39713 4599 10 earth earth NN 39713 4599 11 ; ; : 39713 4599 12 it -PRON- PRP 39713 4599 13 has have VBZ 39713 4599 14 been be VBN 39713 4599 15 answered answer VBN 39713 4599 16 : : : 39713 4599 17 but but CC 39713 4599 18 this this DT 39713 4599 19 is be VBZ 39713 4599 20 not not RB 39713 4599 21 a a DT 39713 4599 22 fact fact NN 39713 4599 23 , , , 39713 4599 24 and and CC 39713 4599 25 he -PRON- PRP 39713 4599 26 has have VBZ 39713 4599 27 replied reply VBN 39713 4599 28 : : : 39713 4599 29 it -PRON- PRP 39713 4599 30 was be VBD 39713 4599 31 one one CD 39713 4599 32 for for IN 39713 4599 33 Galileo Galileo NNP 39713 4599 34 , , , 39713 4599 35 who who WP 39713 4599 36 affirmed affirm VBD 39713 4599 37 it -PRON- PRP 39713 4599 38 , , , 39713 4599 39 as as IN 39713 4599 40 for for IN 39713 4599 41 the the DT 39713 4599 42 inquisitor inquisitor NN 39713 4599 43 , , , 39713 4599 44 who who WP 39713 4599 45 denied deny VBD 39713 4599 46 it -PRON- PRP 39713 4599 47 . . . 39713 4600 1 It -PRON- PRP 39713 4600 2 always always RB 39713 4600 3 remains remain VBZ 39713 4600 4 that that IN 39713 4600 5 this this DT 39713 4600 6 is be VBZ 39713 4600 7 not not RB 39713 4600 8 a a DT 39713 4600 9 fact fact NN 39713 4600 10 in in IN 39713 4600 11 the the DT 39713 4600 12 same same JJ 39713 4600 13 sense sense NN 39713 4600 14 as as IN 39713 4600 15 those those DT 39713 4600 16 just just RB 39713 4600 17 spoken speak VBN 39713 4600 18 of of IN 39713 4600 19 and and CC 39713 4600 20 that that WDT 39713 4600 21 to to TO 39713 4600 22 give give VB 39713 4600 23 them -PRON- PRP 39713 4600 24 the the DT 39713 4600 25 same same JJ 39713 4600 26 name name NN 39713 4600 27 is be VBZ 39713 4600 28 to to TO 39713 4600 29 expose expose VB 39713 4600 30 one one PRP 39713 4600 31 's 's POS 39713 4600 32 self self NN 39713 4600 33 to to IN 39713 4600 34 many many JJ 39713 4600 35 confusions confusion NNS 39713 4600 36 . . . 39713 4601 1 Here here RB 39713 4601 2 then then RB 39713 4601 3 are be VBP 39713 4601 4 four four CD 39713 4601 5 degrees degree NNS 39713 4601 6 : : : 39713 4601 7 1º. 1º. CD 39713 4602 1 It -PRON- PRP 39713 4602 2 grows grow VBZ 39713 4602 3 dark dark JJ 39713 4602 4 , , , 39713 4602 5 says say VBZ 39713 4602 6 the the DT 39713 4602 7 clown clown NN 39713 4602 8 . . . 39713 4603 1 2º. 2º. CD 39713 4604 1 The the DT 39713 4604 2 eclipse eclipse NN 39713 4604 3 happened happen VBD 39713 4604 4 at at IN 39713 4604 5 nine nine CD 39713 4604 6 o'clock o'clock NN 39713 4604 7 , , , 39713 4604 8 says say VBZ 39713 4604 9 the the DT 39713 4604 10 astronomer astronomer NN 39713 4604 11 . . . 39713 4605 1 3º. 3º. CD 39713 4606 1 The the DT 39713 4606 2 eclipse eclipse NN 39713 4606 3 happened happen VBD 39713 4606 4 at at IN 39713 4606 5 the the DT 39713 4606 6 time time NN 39713 4606 7 deducible deducible JJ 39713 4606 8 from from IN 39713 4606 9 the the DT 39713 4606 10 tables table NNS 39713 4606 11 constructed construct VBN 39713 4606 12 according accord VBG 39713 4606 13 to to IN 39713 4606 14 Newton Newton NNP 39713 4606 15 's 's POS 39713 4606 16 law law NN 39713 4606 17 , , , 39713 4606 18 says say VBZ 39713 4606 19 he -PRON- PRP 39713 4606 20 again again RB 39713 4606 21 . . . 39713 4607 1 4º. 4º. LS 39713 4608 1 That that DT 39713 4608 2 results result VBZ 39713 4608 3 from from IN 39713 4608 4 the the DT 39713 4608 5 earth earth NN 39713 4608 6 's be VBZ 39713 4608 7 turning turn VBG 39713 4608 8 around around RP 39713 4608 9 the the DT 39713 4608 10 sun sun NN 39713 4608 11 , , , 39713 4608 12 says say VBZ 39713 4608 13 Galileo Galileo NNP 39713 4608 14 finally finally RB 39713 4608 15 . . . 39713 4609 1 Where where WRB 39713 4609 2 then then RB 39713 4609 3 is be VBZ 39713 4609 4 the the DT 39713 4609 5 boundary boundary JJ 39713 4609 6 between between IN 39713 4609 7 the the DT 39713 4609 8 fact fact NN 39713 4609 9 in in IN 39713 4609 10 the the DT 39713 4609 11 rough rough JJ 39713 4609 12 and and CC 39713 4609 13 the the DT 39713 4609 14 scientific scientific JJ 39713 4609 15 fact fact NN 39713 4609 16 ? ? . 39713 4610 1 To to TO 39713 4610 2 read read VB 39713 4610 3 M. M. NNP 39713 4610 4 LeRoy LeRoy NNP 39713 4610 5 one one PRP 39713 4610 6 would would MD 39713 4610 7 believe believe VB 39713 4610 8 that that IN 39713 4610 9 it -PRON- PRP 39713 4610 10 is be VBZ 39713 4610 11 between between IN 39713 4610 12 the the DT 39713 4610 13 first first JJ 39713 4610 14 and and CC 39713 4610 15 the the DT 39713 4610 16 second second JJ 39713 4610 17 stage stage NN 39713 4610 18 , , , 39713 4610 19 but but CC 39713 4610 20 who who WP 39713 4610 21 does do VBZ 39713 4610 22 not not RB 39713 4610 23 see see VB 39713 4610 24 that that IN 39713 4610 25 there there EX 39713 4610 26 is be VBZ 39713 4610 27 a a DT 39713 4610 28 greater great JJR 39713 4610 29 distance distance NN 39713 4610 30 from from IN 39713 4610 31 the the DT 39713 4610 32 second second JJ 39713 4610 33 to to IN 39713 4610 34 the the DT 39713 4610 35 third third JJ 39713 4610 36 , , , 39713 4610 37 and and CC 39713 4610 38 still still RB 39713 4610 39 more more JJR 39713 4610 40 from from IN 39713 4610 41 the the DT 39713 4610 42 third third JJ 39713 4610 43 to to IN 39713 4610 44 the the DT 39713 4610 45 fourth fourth JJ 39713 4610 46 . . . 39713 4611 1 Allow allow VB 39713 4611 2 me -PRON- PRP 39713 4611 3 to to TO 39713 4611 4 cite cite VB 39713 4611 5 two two CD 39713 4611 6 examples example NNS 39713 4611 7 which which WDT 39713 4611 8 perhaps perhaps RB 39713 4611 9 will will MD 39713 4611 10 enlighten enlighten VB 39713 4611 11 us -PRON- PRP 39713 4611 12 a a DT 39713 4611 13 little little JJ 39713 4611 14 . . . 39713 4612 1 I -PRON- PRP 39713 4612 2 observe observe VBP 39713 4612 3 the the DT 39713 4612 4 deviation deviation NN 39713 4612 5 of of IN 39713 4612 6 a a DT 39713 4612 7 galvanometer galvanometer NN 39713 4612 8 by by IN 39713 4612 9 the the DT 39713 4612 10 aid aid NN 39713 4612 11 of of IN 39713 4612 12 a a DT 39713 4612 13 movable movable JJ 39713 4612 14 mirror mirror NN 39713 4612 15 which which WDT 39713 4612 16 projects project VBZ 39713 4612 17 a a DT 39713 4612 18 luminous luminous JJ 39713 4612 19 image image NN 39713 4612 20 or or CC 39713 4612 21 spot spot VB 39713 4612 22 on on IN 39713 4612 23 a a DT 39713 4612 24 divided divide VBN 39713 4612 25 scale scale NN 39713 4612 26 . . . 39713 4613 1 The the DT 39713 4613 2 crude crude JJ 39713 4613 3 fact fact NN 39713 4613 4 is be VBZ 39713 4613 5 this this DT 39713 4613 6 : : : 39713 4613 7 I -PRON- PRP 39713 4613 8 see see VBP 39713 4613 9 the the DT 39713 4613 10 spot spot NN 39713 4613 11 displace displace VB 39713 4613 12 itself -PRON- PRP 39713 4613 13 on on IN 39713 4613 14 the the DT 39713 4613 15 scale scale NN 39713 4613 16 , , , 39713 4613 17 and and CC 39713 4613 18 the the DT 39713 4613 19 scientific scientific JJ 39713 4613 20 fact fact NN 39713 4613 21 is be VBZ 39713 4613 22 this this DT 39713 4613 23 : : : 39713 4613 24 a a DT 39713 4613 25 current current JJ 39713 4613 26 passes pass VBZ 39713 4613 27 in in IN 39713 4613 28 the the DT 39713 4613 29 circuit circuit NN 39713 4613 30 . . . 39713 4614 1 Or or CC 39713 4614 2 again again RB 39713 4614 3 : : : 39713 4614 4 when when WRB 39713 4614 5 I -PRON- PRP 39713 4614 6 make make VBP 39713 4614 7 an an DT 39713 4614 8 experiment experiment NN 39713 4614 9 I -PRON- PRP 39713 4614 10 should should MD 39713 4614 11 subject subject VB 39713 4614 12 the the DT 39713 4614 13 result result NN 39713 4614 14 to to IN 39713 4614 15 certain certain JJ 39713 4614 16 corrections correction NNS 39713 4614 17 , , , 39713 4614 18 because because IN 39713 4614 19 I -PRON- PRP 39713 4614 20 know know VBP 39713 4614 21 I -PRON- PRP 39713 4614 22 must must MD 39713 4614 23 have have VB 39713 4614 24 made make VBN 39713 4614 25 errors error NNS 39713 4614 26 . . . 39713 4615 1 These these DT 39713 4615 2 errors error NNS 39713 4615 3 are be VBP 39713 4615 4 of of IN 39713 4615 5 two two CD 39713 4615 6 kinds kind NNS 39713 4615 7 , , , 39713 4615 8 some some DT 39713 4615 9 are be VBP 39713 4615 10 accidental accidental JJ 39713 4615 11 and and CC 39713 4615 12 these these DT 39713 4615 13 I -PRON- PRP 39713 4615 14 shall shall MD 39713 4615 15 correct correct VB 39713 4615 16 by by IN 39713 4615 17 taking take VBG 39713 4615 18 the the DT 39713 4615 19 mean mean NN 39713 4615 20 ; ; : 39713 4615 21 the the DT 39713 4615 22 others other NNS 39713 4615 23 are be VBP 39713 4615 24 systematic systematic JJ 39713 4615 25 and and CC 39713 4615 26 I -PRON- PRP 39713 4615 27 shall shall MD 39713 4615 28 be be VB 39713 4615 29 able able JJ 39713 4615 30 to to TO 39713 4615 31 correct correct VB 39713 4615 32 those those DT 39713 4615 33 only only RB 39713 4615 34 by by IN 39713 4615 35 a a DT 39713 4615 36 thorough thorough JJ 39713 4615 37 study study NN 39713 4615 38 of of IN 39713 4615 39 their -PRON- PRP$ 39713 4615 40 causes cause NNS 39713 4615 41 . . . 39713 4616 1 The the DT 39713 4616 2 first first JJ 39713 4616 3 result result NN 39713 4616 4 obtained obtain VBN 39713 4616 5 is be VBZ 39713 4616 6 then then RB 39713 4616 7 the the DT 39713 4616 8 fact fact NN 39713 4616 9 in in IN 39713 4616 10 the the DT 39713 4616 11 rough rough JJ 39713 4616 12 , , , 39713 4616 13 while while IN 39713 4616 14 the the DT 39713 4616 15 scientific scientific JJ 39713 4616 16 fact fact NN 39713 4616 17 is be VBZ 39713 4616 18 the the DT 39713 4616 19 final final JJ 39713 4616 20 result result NN 39713 4616 21 after after IN 39713 4616 22 the the DT 39713 4616 23 finished finished JJ 39713 4616 24 corrections correction NNS 39713 4616 25 . . . 39713 4617 1 Reflecting reflect VBG 39713 4617 2 on on IN 39713 4617 3 this this DT 39713 4617 4 latter latter JJ 39713 4617 5 example example NN 39713 4617 6 , , , 39713 4617 7 we -PRON- PRP 39713 4617 8 are be VBP 39713 4617 9 led lead VBN 39713 4617 10 to to TO 39713 4617 11 subdivide subdivide VB 39713 4617 12 our -PRON- PRP$ 39713 4617 13 second second JJ 39713 4617 14 stage stage NN 39713 4617 15 , , , 39713 4617 16 and and CC 39713 4617 17 in in IN 39713 4617 18 place place NN 39713 4617 19 of of IN 39713 4617 20 saying say VBG 39713 4617 21 : : : 39713 4617 22 2 2 CD 39713 4617 23 . . . 39713 4618 1 The the DT 39713 4618 2 eclipse eclipse NN 39713 4618 3 happened happen VBD 39713 4618 4 at at IN 39713 4618 5 nine nine CD 39713 4618 6 o'clock o'clock NN 39713 4618 7 , , , 39713 4618 8 we -PRON- PRP 39713 4618 9 shall shall MD 39713 4618 10 say say VB 39713 4618 11 : : : 39713 4618 12 2_a 2_a CD 39713 4618 13 _ _ NNP 39713 4618 14 . . . 39713 4619 1 The the DT 39713 4619 2 eclipse eclipse NN 39713 4619 3 happened happen VBD 39713 4619 4 when when WRB 39713 4619 5 my -PRON- PRP$ 39713 4619 6 clock clock NN 39713 4619 7 pointed point VBD 39713 4619 8 to to IN 39713 4619 9 nine nine CD 39713 4619 10 , , , 39713 4619 11 and and CC 39713 4619 12 2_b 2_b CD 39713 4619 13 _ _ NNP 39713 4619 14 . . . 39713 4620 1 My -PRON- PRP$ 39713 4620 2 clock clock NN 39713 4620 3 being be VBG 39713 4620 4 ten ten CD 39713 4620 5 minutes minute NNS 39713 4620 6 slow slow RB 39713 4620 7 , , , 39713 4620 8 the the DT 39713 4620 9 eclipse eclipse NN 39713 4620 10 happened happen VBD 39713 4620 11 at at IN 39713 4620 12 ten ten CD 39713 4620 13 minutes minute NNS 39713 4620 14 past past IN 39713 4620 15 nine nine CD 39713 4620 16 . . . 39713 4621 1 And and CC 39713 4621 2 this this DT 39713 4621 3 is be VBZ 39713 4621 4 not not RB 39713 4621 5 all all DT 39713 4621 6 : : : 39713 4621 7 the the DT 39713 4621 8 first first JJ 39713 4621 9 stage stage NN 39713 4621 10 also also RB 39713 4621 11 should should MD 39713 4621 12 be be VB 39713 4621 13 subdivided subdivide VBN 39713 4621 14 , , , 39713 4621 15 and and CC 39713 4621 16 not not RB 39713 4621 17 between between IN 39713 4621 18 these these DT 39713 4621 19 two two CD 39713 4621 20 subdivisions subdivision NNS 39713 4621 21 will will MD 39713 4621 22 be be VB 39713 4621 23 the the DT 39713 4621 24 least least JJS 39713 4621 25 distance distance NN 39713 4621 26 ; ; : 39713 4621 27 it -PRON- PRP 39713 4621 28 is be VBZ 39713 4621 29 necessary necessary JJ 39713 4621 30 to to TO 39713 4621 31 distinguish distinguish VB 39713 4621 32 between between IN 39713 4621 33 the the DT 39713 4621 34 impression impression NN 39713 4621 35 of of IN 39713 4621 36 obscurity obscurity NN 39713 4621 37 felt feel VBN 39713 4621 38 by by IN 39713 4621 39 one one CD 39713 4621 40 witnessing witness VBG 39713 4621 41 an an DT 39713 4621 42 eclipse eclipse NN 39713 4621 43 , , , 39713 4621 44 and and CC 39713 4621 45 the the DT 39713 4621 46 affirmation affirmation NN 39713 4621 47 : : : 39713 4621 48 It -PRON- PRP 39713 4621 49 grows grow VBZ 39713 4621 50 dark dark JJ 39713 4621 51 , , , 39713 4621 52 which which WDT 39713 4621 53 this this DT 39713 4621 54 impression impression NN 39713 4621 55 extorts extort VBZ 39713 4621 56 from from IN 39713 4621 57 him -PRON- PRP 39713 4621 58 . . . 39713 4622 1 In in IN 39713 4622 2 a a DT 39713 4622 3 sense sense NN 39713 4622 4 it -PRON- PRP 39713 4622 5 is be VBZ 39713 4622 6 the the DT 39713 4622 7 first first JJ 39713 4622 8 which which WDT 39713 4622 9 is be VBZ 39713 4622 10 the the DT 39713 4622 11 only only JJ 39713 4622 12 true true JJ 39713 4622 13 fact fact NN 39713 4622 14 in in IN 39713 4622 15 the the DT 39713 4622 16 rough rough JJ 39713 4622 17 , , , 39713 4622 18 and and CC 39713 4622 19 the the DT 39713 4622 20 second second JJ 39713 4622 21 is be VBZ 39713 4622 22 already already RB 39713 4622 23 a a DT 39713 4622 24 sort sort NN 39713 4622 25 of of IN 39713 4622 26 scientific scientific JJ 39713 4622 27 fact fact NN 39713 4622 28 . . . 39713 4623 1 Now now RB 39713 4623 2 then then RB 39713 4623 3 our -PRON- PRP$ 39713 4623 4 scale scale NN 39713 4623 5 has have VBZ 39713 4623 6 six six CD 39713 4623 7 stages stage NNS 39713 4623 8 , , , 39713 4623 9 and and CC 39713 4623 10 even even RB 39713 4623 11 though though IN 39713 4623 12 there there EX 39713 4623 13 is be VBZ 39713 4623 14 no no DT 39713 4623 15 reason reason NN 39713 4623 16 for for IN 39713 4623 17 halting halt VBG 39713 4623 18 at at IN 39713 4623 19 this this DT 39713 4623 20 figure figure NN 39713 4623 21 , , , 39713 4623 22 there there RB 39713 4623 23 we -PRON- PRP 39713 4623 24 shall shall MD 39713 4623 25 stop stop VB 39713 4623 26 . . . 39713 4624 1 What what WP 39713 4624 2 strikes strike VBZ 39713 4624 3 me -PRON- PRP 39713 4624 4 at at IN 39713 4624 5 the the DT 39713 4624 6 start start NN 39713 4624 7 is be VBZ 39713 4624 8 this this DT 39713 4624 9 . . . 39713 4625 1 At at IN 39713 4625 2 the the DT 39713 4625 3 first first JJ 39713 4625 4 of of IN 39713 4625 5 our -PRON- PRP$ 39713 4625 6 six six CD 39713 4625 7 stages stage NNS 39713 4625 8 , , , 39713 4625 9 the the DT 39713 4625 10 fact fact NN 39713 4625 11 , , , 39713 4625 12 still still RB 39713 4625 13 completely completely RB 39713 4625 14 in in IN 39713 4625 15 the the DT 39713 4625 16 rough rough JJ 39713 4625 17 , , , 39713 4625 18 is be VBZ 39713 4625 19 , , , 39713 4625 20 so so RB 39713 4625 21 to to TO 39713 4625 22 speak speak VB 39713 4625 23 , , , 39713 4625 24 individual individual JJ 39713 4625 25 , , , 39713 4625 26 it -PRON- PRP 39713 4625 27 is be VBZ 39713 4625 28 completely completely RB 39713 4625 29 distinct distinct JJ 39713 4625 30 from from IN 39713 4625 31 all all DT 39713 4625 32 other other JJ 39713 4625 33 possible possible JJ 39713 4625 34 facts fact NNS 39713 4625 35 . . . 39713 4626 1 From from IN 39713 4626 2 the the DT 39713 4626 3 second second JJ 39713 4626 4 stage stage NN 39713 4626 5 , , , 39713 4626 6 already already RB 39713 4626 7 it -PRON- PRP 39713 4626 8 is be VBZ 39713 4626 9 no no RB 39713 4626 10 longer long RBR 39713 4626 11 the the DT 39713 4626 12 same same JJ 39713 4626 13 . . . 39713 4627 1 The the DT 39713 4627 2 enunciation enunciation NN 39713 4627 3 of of IN 39713 4627 4 the the DT 39713 4627 5 fact fact NN 39713 4627 6 would would MD 39713 4627 7 suit suit VB 39713 4627 8 an an DT 39713 4627 9 infinity infinity NN 39713 4627 10 of of IN 39713 4627 11 other other JJ 39713 4627 12 facts fact NNS 39713 4627 13 . . . 39713 4628 1 So so RB 39713 4628 2 soon soon RB 39713 4628 3 as as IN 39713 4628 4 language language NN 39713 4628 5 intervenes intervene VBZ 39713 4628 6 , , , 39713 4628 7 I -PRON- PRP 39713 4628 8 have have VBP 39713 4628 9 at at IN 39713 4628 10 my -PRON- PRP$ 39713 4628 11 command command NN 39713 4628 12 only only RB 39713 4628 13 a a DT 39713 4628 14 finite finite JJ 39713 4628 15 number number NN 39713 4628 16 of of IN 39713 4628 17 terms term NNS 39713 4628 18 to to TO 39713 4628 19 express express VB 39713 4628 20 the the DT 39713 4628 21 shades shade NNS 39713 4628 22 , , , 39713 4628 23 in in IN 39713 4628 24 number number NN 39713 4628 25 infinite infinite NN 39713 4628 26 , , , 39713 4628 27 that that IN 39713 4628 28 my -PRON- PRP$ 39713 4628 29 impressions impression NNS 39713 4628 30 might may MD 39713 4628 31 cover cover VB 39713 4628 32 . . . 39713 4629 1 When when WRB 39713 4629 2 I -PRON- PRP 39713 4629 3 say say VBP 39713 4629 4 : : : 39713 4629 5 It -PRON- PRP 39713 4629 6 grows grow VBZ 39713 4629 7 dark dark JJ 39713 4629 8 , , , 39713 4629 9 that that IN 39713 4629 10 well well RB 39713 4629 11 expresses express VBZ 39713 4629 12 the the DT 39713 4629 13 impressions impression NNS 39713 4629 14 I -PRON- PRP 39713 4629 15 feel feel VBP 39713 4629 16 in in IN 39713 4629 17 being be VBG 39713 4629 18 present present JJ 39713 4629 19 at at IN 39713 4629 20 an an DT 39713 4629 21 eclipse eclipse NN 39713 4629 22 ; ; : 39713 4629 23 but but CC 39713 4629 24 even even RB 39713 4629 25 in in IN 39713 4629 26 obscurity obscurity NN 39713 4629 27 a a DT 39713 4629 28 multitude multitude NN 39713 4629 29 of of IN 39713 4629 30 shades shade NNS 39713 4629 31 could could MD 39713 4629 32 be be VB 39713 4629 33 imagined imagine VBN 39713 4629 34 , , , 39713 4629 35 and and CC 39713 4629 36 if if IN 39713 4629 37 , , , 39713 4629 38 instead instead RB 39713 4629 39 of of IN 39713 4629 40 that that DT 39713 4629 41 actually actually RB 39713 4629 42 realized realize VBN 39713 4629 43 , , , 39713 4629 44 had have VBD 39713 4629 45 happened happen VBN 39713 4629 46 a a DT 39713 4629 47 slightly slightly RB 39713 4629 48 different different JJ 39713 4629 49 shade shade NN 39713 4629 50 , , , 39713 4629 51 yet yet CC 39713 4629 52 I -PRON- PRP 39713 4629 53 should should MD 39713 4629 54 still still RB 39713 4629 55 have have VB 39713 4629 56 enunciated enunciate VBN 39713 4629 57 this this DT 39713 4629 58 _ _ NNP 39713 4629 59 other other JJ 39713 4629 60 _ _ NNP 39713 4629 61 fact fact NN 39713 4629 62 by by IN 39713 4629 63 saying say VBG 39713 4629 64 : : : 39713 4629 65 It -PRON- PRP 39713 4629 66 grows grow VBZ 39713 4629 67 dark dark JJ 39713 4629 68 . . . 39713 4630 1 Second second JJ 39713 4630 2 remark remark NN 39713 4630 3 : : : 39713 4630 4 even even RB 39713 4630 5 at at IN 39713 4630 6 the the DT 39713 4630 7 second second JJ 39713 4630 8 stage stage NN 39713 4630 9 , , , 39713 4630 10 the the DT 39713 4630 11 enunciation enunciation NN 39713 4630 12 of of IN 39713 4630 13 a a DT 39713 4630 14 fact fact NN 39713 4630 15 can can MD 39713 4630 16 only only RB 39713 4630 17 be be VB 39713 4630 18 _ _ NNP 39713 4630 19 true true JJ 39713 4630 20 or or CC 39713 4630 21 false false JJ 39713 4630 22 _ _ NN 39713 4630 23 . . . 39713 4631 1 This this DT 39713 4631 2 is be VBZ 39713 4631 3 not not RB 39713 4631 4 so so RB 39713 4631 5 of of IN 39713 4631 6 any any DT 39713 4631 7 proposition proposition NN 39713 4631 8 ; ; : 39713 4631 9 if if IN 39713 4631 10 this this DT 39713 4631 11 proposition proposition NN 39713 4631 12 is be VBZ 39713 4631 13 the the DT 39713 4631 14 enunciation enunciation NN 39713 4631 15 of of IN 39713 4631 16 a a DT 39713 4631 17 convention convention NN 39713 4631 18 , , , 39713 4631 19 it -PRON- PRP 39713 4631 20 can can MD 39713 4631 21 not not RB 39713 4631 22 be be VB 39713 4631 23 said say VBN 39713 4631 24 that that IN 39713 4631 25 this this DT 39713 4631 26 enunciation enunciation NN 39713 4631 27 is be VBZ 39713 4631 28 _ _ NNP 39713 4631 29 true true JJ 39713 4631 30 _ _ NNP 39713 4631 31 , , , 39713 4631 32 in in IN 39713 4631 33 the the DT 39713 4631 34 proper proper JJ 39713 4631 35 sense sense NN 39713 4631 36 of of IN 39713 4631 37 the the DT 39713 4631 38 word word NN 39713 4631 39 , , , 39713 4631 40 since since IN 39713 4631 41 it -PRON- PRP 39713 4631 42 could could MD 39713 4631 43 not not RB 39713 4631 44 be be VB 39713 4631 45 true true JJ 39713 4631 46 apart apart RB 39713 4631 47 from from IN 39713 4631 48 me -PRON- PRP 39713 4631 49 and and CC 39713 4631 50 is be VBZ 39713 4631 51 true true JJ 39713 4631 52 only only RB 39713 4631 53 because because IN 39713 4631 54 I -PRON- PRP 39713 4631 55 wish wish VBP 39713 4631 56 it -PRON- PRP 39713 4631 57 to to TO 39713 4631 58 be be VB 39713 4631 59 . . . 39713 4632 1 When when WRB 39713 4632 2 , , , 39713 4632 3 for for IN 39713 4632 4 instance instance NN 39713 4632 5 , , , 39713 4632 6 I -PRON- PRP 39713 4632 7 say say VBP 39713 4632 8 the the DT 39713 4632 9 unit unit NN 39713 4632 10 for for IN 39713 4632 11 length length NN 39713 4632 12 is be VBZ 39713 4632 13 the the DT 39713 4632 14 meter meter NN 39713 4632 15 , , , 39713 4632 16 this this DT 39713 4632 17 is be VBZ 39713 4632 18 a a DT 39713 4632 19 decree decree NN 39713 4632 20 that that WDT 39713 4632 21 I -PRON- PRP 39713 4632 22 promulgate promulgate VBP 39713 4632 23 , , , 39713 4632 24 it -PRON- PRP 39713 4632 25 is be VBZ 39713 4632 26 not not RB 39713 4632 27 something something NN 39713 4632 28 ascertained ascertain VBN 39713 4632 29 which which WDT 39713 4632 30 forces force VBZ 39713 4632 31 itself -PRON- PRP 39713 4632 32 upon upon IN 39713 4632 33 me -PRON- PRP 39713 4632 34 . . . 39713 4633 1 It -PRON- PRP 39713 4633 2 is be VBZ 39713 4633 3 the the DT 39713 4633 4 same same JJ 39713 4633 5 , , , 39713 4633 6 as as IN 39713 4633 7 I -PRON- PRP 39713 4633 8 think think VBP 39713 4633 9 I -PRON- PRP 39713 4633 10 have have VBP 39713 4633 11 elsewhere elsewhere RB 39713 4633 12 shown show VBN 39713 4633 13 , , , 39713 4633 14 when when WRB 39713 4633 15 it -PRON- PRP 39713 4633 16 is be VBZ 39713 4633 17 a a DT 39713 4633 18 question question NN 39713 4633 19 , , , 39713 4633 20 for for IN 39713 4633 21 example example NN 39713 4633 22 , , , 39713 4633 23 of of IN 39713 4633 24 Euclid Euclid NNP 39713 4633 25 's 's POS 39713 4633 26 postulate postulate NN 39713 4633 27 . . . 39713 4634 1 When when WRB 39713 4634 2 I -PRON- PRP 39713 4634 3 am be VBP 39713 4634 4 asked ask VBN 39713 4634 5 : : : 39713 4634 6 Is be VBZ 39713 4634 7 it -PRON- PRP 39713 4634 8 growing grow VBG 39713 4634 9 dark dark JJ 39713 4634 10 ? ? . 39713 4635 1 I -PRON- PRP 39713 4635 2 always always RB 39713 4635 3 know know VBP 39713 4635 4 whether whether IN 39713 4635 5 I -PRON- PRP 39713 4635 6 ought ought MD 39713 4635 7 to to TO 39713 4635 8 reply reply VB 39713 4635 9 yes yes UH 39713 4635 10 or or CC 39713 4635 11 no no UH 39713 4635 12 . . . 39713 4636 1 Although although IN 39713 4636 2 an an DT 39713 4636 3 infinity infinity NN 39713 4636 4 of of IN 39713 4636 5 possible possible JJ 39713 4636 6 facts fact NNS 39713 4636 7 may may MD 39713 4636 8 be be VB 39713 4636 9 susceptible susceptible JJ 39713 4636 10 of of IN 39713 4636 11 this this DT 39713 4636 12 same same JJ 39713 4636 13 enunciation enunciation NN 39713 4636 14 , , , 39713 4636 15 it -PRON- PRP 39713 4636 16 grows grow VBZ 39713 4636 17 dark dark JJ 39713 4636 18 , , , 39713 4636 19 I -PRON- PRP 39713 4636 20 shall shall MD 39713 4636 21 always always RB 39713 4636 22 know know VB 39713 4636 23 whether whether IN 39713 4636 24 the the DT 39713 4636 25 fact fact NN 39713 4636 26 realized realize VBD 39713 4636 27 belongs belong NNS 39713 4636 28 or or CC 39713 4636 29 does do VBZ 39713 4636 30 not not RB 39713 4636 31 belong belong VB 39713 4636 32 among among IN 39713 4636 33 those those DT 39713 4636 34 which which WDT 39713 4636 35 answer answer VBP 39713 4636 36 to to IN 39713 4636 37 this this DT 39713 4636 38 enunciation enunciation NN 39713 4636 39 . . . 39713 4637 1 Facts fact NNS 39713 4637 2 are be VBP 39713 4637 3 classed class VBN 39713 4637 4 in in IN 39713 4637 5 categories category NNS 39713 4637 6 , , , 39713 4637 7 and and CC 39713 4637 8 if if IN 39713 4637 9 I -PRON- PRP 39713 4637 10 am be VBP 39713 4637 11 asked ask VBN 39713 4637 12 whether whether IN 39713 4637 13 the the DT 39713 4637 14 fact fact NN 39713 4637 15 that that IN 39713 4637 16 I -PRON- PRP 39713 4637 17 ascertain ascertain VBP 39713 4637 18 belongs belong VBZ 39713 4637 19 or or CC 39713 4637 20 does do VBZ 39713 4637 21 not not RB 39713 4637 22 belong belong VB 39713 4637 23 in in IN 39713 4637 24 such such PDT 39713 4637 25 a a DT 39713 4637 26 category category NN 39713 4637 27 , , , 39713 4637 28 I -PRON- PRP 39713 4637 29 shall shall MD 39713 4637 30 not not RB 39713 4637 31 hesitate hesitate VB 39713 4637 32 . . . 39713 4638 1 Doubtless doubtless RB 39713 4638 2 this this DT 39713 4638 3 classification classification NN 39713 4638 4 is be VBZ 39713 4638 5 sufficiently sufficiently RB 39713 4638 6 arbitrary arbitrary JJ 39713 4638 7 to to TO 39713 4638 8 leave leave VB 39713 4638 9 a a DT 39713 4638 10 large large JJ 39713 4638 11 part part NN 39713 4638 12 to to IN 39713 4638 13 man man NN 39713 4638 14 's 's POS 39713 4638 15 freedom freedom NN 39713 4638 16 or or CC 39713 4638 17 caprice caprice NN 39713 4638 18 . . . 39713 4639 1 In in IN 39713 4639 2 a a DT 39713 4639 3 word word NN 39713 4639 4 , , , 39713 4639 5 this this DT 39713 4639 6 classification classification NN 39713 4639 7 is be VBZ 39713 4639 8 a a DT 39713 4639 9 convention convention NN 39713 4639 10 . . . 39713 4640 1 _ _ NNP 39713 4640 2 This this DT 39713 4640 3 convention convention NN 39713 4640 4 being be VBG 39713 4640 5 given give VBN 39713 4640 6 _ _ NNP 39713 4640 7 , , , 39713 4640 8 if if IN 39713 4640 9 I -PRON- PRP 39713 4640 10 am be VBP 39713 4640 11 asked ask VBN 39713 4640 12 : : : 39713 4640 13 Is be VBZ 39713 4640 14 such such PDT 39713 4640 15 a a DT 39713 4640 16 fact fact NN 39713 4640 17 true true JJ 39713 4640 18 ? ? . 39713 4641 1 I -PRON- PRP 39713 4641 2 shall shall MD 39713 4641 3 always always RB 39713 4641 4 know know VB 39713 4641 5 what what WP 39713 4641 6 to to TO 39713 4641 7 answer answer VB 39713 4641 8 , , , 39713 4641 9 and and CC 39713 4641 10 my -PRON- PRP$ 39713 4641 11 reply reply NN 39713 4641 12 will will MD 39713 4641 13 be be VB 39713 4641 14 imposed impose VBN 39713 4641 15 upon upon IN 39713 4641 16 me -PRON- PRP 39713 4641 17 by by IN 39713 4641 18 the the DT 39713 4641 19 witness witness NN 39713 4641 20 of of IN 39713 4641 21 my -PRON- PRP$ 39713 4641 22 senses sense NNS 39713 4641 23 . . . 39713 4642 1 If if IN 39713 4642 2 therefore therefore RB 39713 4642 3 , , , 39713 4642 4 during during IN 39713 4642 5 an an DT 39713 4642 6 eclipse eclipse NN 39713 4642 7 , , , 39713 4642 8 it -PRON- PRP 39713 4642 9 is be VBZ 39713 4642 10 asked ask VBN 39713 4642 11 : : : 39713 4642 12 Is be VBZ 39713 4642 13 it -PRON- PRP 39713 4642 14 growing grow VBG 39713 4642 15 dark dark JJ 39713 4642 16 ? ? . 39713 4643 1 all all PDT 39713 4643 2 the the DT 39713 4643 3 world world NN 39713 4643 4 will will MD 39713 4643 5 answer answer VB 39713 4643 6 yes yes UH 39713 4643 7 . . . 39713 4644 1 Doubtless doubtless RB 39713 4644 2 those those DT 39713 4644 3 speaking speak VBG 39713 4644 4 a a DT 39713 4644 5 language language NN 39713 4644 6 where where WRB 39713 4644 7 bright bright JJ 39713 4644 8 was be VBD 39713 4644 9 called call VBN 39713 4644 10 dark dark JJ 39713 4644 11 , , , 39713 4644 12 and and CC 39713 4644 13 dark dark JJ 39713 4644 14 bright bright NN 39713 4644 15 , , , 39713 4644 16 would would MD 39713 4644 17 answer answer VB 39713 4644 18 no no UH 39713 4644 19 . . . 39713 4645 1 But but CC 39713 4645 2 of of IN 39713 4645 3 what what WDT 39713 4645 4 importance importance NN 39713 4645 5 is be VBZ 39713 4645 6 that that DT 39713 4645 7 ? ? . 39713 4646 1 In in IN 39713 4646 2 the the DT 39713 4646 3 same same JJ 39713 4646 4 way way NN 39713 4646 5 , , , 39713 4646 6 in in IN 39713 4646 7 mathematics mathematic NNS 39713 4646 8 , , , 39713 4646 9 _ _ NNP 39713 4646 10 when when WRB 39713 4646 11 I -PRON- PRP 39713 4646 12 have have VBP 39713 4646 13 laid lay VBN 39713 4646 14 down down RP 39713 4646 15 the the DT 39713 4646 16 definitions definition NNS 39713 4646 17 , , , 39713 4646 18 and and CC 39713 4646 19 the the DT 39713 4646 20 postulates postulate NNS 39713 4646 21 which which WDT 39713 4646 22 are be VBP 39713 4646 23 conventions convention NNS 39713 4646 24 _ _ NNP 39713 4646 25 , , , 39713 4646 26 a a DT 39713 4646 27 theorem theorem NN 39713 4646 28 henceforth henceforth RB 39713 4646 29 can can MD 39713 4646 30 only only RB 39713 4646 31 be be VB 39713 4646 32 true true JJ 39713 4646 33 or or CC 39713 4646 34 false false JJ 39713 4646 35 . . . 39713 4647 1 But but CC 39713 4647 2 to to TO 39713 4647 3 answer answer VB 39713 4647 4 the the DT 39713 4647 5 question question NN 39713 4647 6 : : : 39713 4647 7 Is be VBZ 39713 4647 8 this this DT 39713 4647 9 theorem theorem JJ 39713 4647 10 true true JJ 39713 4647 11 ? ? . 39713 4648 1 it -PRON- PRP 39713 4648 2 is be VBZ 39713 4648 3 no no RB 39713 4648 4 longer long JJR 39713 4648 5 to to IN 39713 4648 6 the the DT 39713 4648 7 witness witness NN 39713 4648 8 of of IN 39713 4648 9 my -PRON- PRP$ 39713 4648 10 senses sense NNS 39713 4648 11 that that WDT 39713 4648 12 I -PRON- PRP 39713 4648 13 shall shall MD 39713 4648 14 have have VB 39713 4648 15 recourse recourse VBN 39713 4648 16 , , , 39713 4648 17 but but CC 39713 4648 18 to to IN 39713 4648 19 reasoning reason VBG 39713 4648 20 . . . 39713 4649 1 A a DT 39713 4649 2 statement statement NN 39713 4649 3 of of IN 39713 4649 4 fact fact NN 39713 4649 5 is be VBZ 39713 4649 6 always always RB 39713 4649 7 verifiable verifiable JJ 39713 4649 8 , , , 39713 4649 9 and and CC 39713 4649 10 for for IN 39713 4649 11 the the DT 39713 4649 12 verification verification NN 39713 4649 13 we -PRON- PRP 39713 4649 14 have have VBP 39713 4649 15 recourse recourse VBN 39713 4649 16 either either CC 39713 4649 17 to to IN 39713 4649 18 the the DT 39713 4649 19 witness witness NN 39713 4649 20 of of IN 39713 4649 21 our -PRON- PRP$ 39713 4649 22 senses sense NNS 39713 4649 23 , , , 39713 4649 24 or or CC 39713 4649 25 to to IN 39713 4649 26 the the DT 39713 4649 27 memory memory NN 39713 4649 28 of of IN 39713 4649 29 this this DT 39713 4649 30 witness witness NN 39713 4649 31 . . . 39713 4650 1 This this DT 39713 4650 2 is be VBZ 39713 4650 3 properly properly RB 39713 4650 4 what what WP 39713 4650 5 characterizes characterize VBZ 39713 4650 6 a a DT 39713 4650 7 fact fact NN 39713 4650 8 . . . 39713 4651 1 If if IN 39713 4651 2 you -PRON- PRP 39713 4651 3 put put VBP 39713 4651 4 the the DT 39713 4651 5 question question NN 39713 4651 6 to to IN 39713 4651 7 me -PRON- PRP 39713 4651 8 : : : 39713 4651 9 Is be VBZ 39713 4651 10 such such PDT 39713 4651 11 a a DT 39713 4651 12 fact fact NN 39713 4651 13 true true JJ 39713 4651 14 ? ? . 39713 4652 1 I -PRON- PRP 39713 4652 2 shall shall MD 39713 4652 3 begin begin VB 39713 4652 4 by by IN 39713 4652 5 asking ask VBG 39713 4652 6 you -PRON- PRP 39713 4652 7 , , , 39713 4652 8 if if IN 39713 4652 9 there there EX 39713 4652 10 is be VBZ 39713 4652 11 occasion occasion NN 39713 4652 12 , , , 39713 4652 13 to to TO 39713 4652 14 state state VB 39713 4652 15 precisely precisely RB 39713 4652 16 the the DT 39713 4652 17 conventions convention NNS 39713 4652 18 , , , 39713 4652 19 by by IN 39713 4652 20 asking ask VBG 39713 4652 21 you -PRON- PRP 39713 4652 22 , , , 39713 4652 23 in in IN 39713 4652 24 other other JJ 39713 4652 25 words word NNS 39713 4652 26 , , , 39713 4652 27 what what WDT 39713 4652 28 language language NN 39713 4652 29 you -PRON- PRP 39713 4652 30 have have VBP 39713 4652 31 spoken speak VBN 39713 4652 32 ; ; : 39713 4652 33 then then RB 39713 4652 34 once once RB 39713 4652 35 settled settle VBN 39713 4652 36 on on IN 39713 4652 37 this this DT 39713 4652 38 point point NN 39713 4652 39 , , , 39713 4652 40 I -PRON- PRP 39713 4652 41 shall shall MD 39713 4652 42 interrogate interrogate VB 39713 4652 43 my -PRON- PRP$ 39713 4652 44 senses sense NNS 39713 4652 45 and and CC 39713 4652 46 shall shall MD 39713 4652 47 answer answer VB 39713 4652 48 yes yes UH 39713 4652 49 or or CC 39713 4652 50 no no UH 39713 4652 51 . . . 39713 4653 1 But but CC 39713 4653 2 it -PRON- PRP 39713 4653 3 will will MD 39713 4653 4 be be VB 39713 4653 5 my -PRON- PRP$ 39713 4653 6 senses sense NNS 39713 4653 7 that that WDT 39713 4653 8 will will MD 39713 4653 9 have have VB 39713 4653 10 made make VBN 39713 4653 11 answer answer NN 39713 4653 12 , , , 39713 4653 13 it -PRON- PRP 39713 4653 14 will will MD 39713 4653 15 not not RB 39713 4653 16 be be VB 39713 4653 17 _ _ NNP 39713 4653 18 you -PRON- PRP 39713 4653 19 _ _ NNP 39713 4653 20 when when WRB 39713 4653 21 you -PRON- PRP 39713 4653 22 say say VBP 39713 4653 23 to to IN 39713 4653 24 me -PRON- PRP 39713 4653 25 : : : 39713 4653 26 I -PRON- PRP 39713 4653 27 have have VBP 39713 4653 28 spoken speak VBN 39713 4653 29 to to IN 39713 4653 30 you -PRON- PRP 39713 4653 31 in in IN 39713 4653 32 English English NNP 39713 4653 33 or or CC 39713 4653 34 in in IN 39713 4653 35 French French NNP 39713 4653 36 . . . 39713 4654 1 Is be VBZ 39713 4654 2 there there EX 39713 4654 3 something something NN 39713 4654 4 to to TO 39713 4654 5 change change VB 39713 4654 6 in in IN 39713 4654 7 all all DT 39713 4654 8 that that IN 39713 4654 9 when when WRB 39713 4654 10 we -PRON- PRP 39713 4654 11 pass pass VBP 39713 4654 12 to to IN 39713 4654 13 the the DT 39713 4654 14 following follow VBG 39713 4654 15 stages stage NNS 39713 4654 16 ? ? . 39713 4655 1 When when WRB 39713 4655 2 I -PRON- PRP 39713 4655 3 observe observe VBP 39713 4655 4 a a DT 39713 4655 5 galvanometer galvanometer NN 39713 4655 6 , , , 39713 4655 7 as as IN 39713 4655 8 I -PRON- PRP 39713 4655 9 have have VBP 39713 4655 10 just just RB 39713 4655 11 said say VBN 39713 4655 12 , , , 39713 4655 13 if if IN 39713 4655 14 I -PRON- PRP 39713 4655 15 ask ask VBP 39713 4655 16 an an DT 39713 4655 17 ignorant ignorant JJ 39713 4655 18 visitor visitor NN 39713 4655 19 : : : 39713 4655 20 Is be VBZ 39713 4655 21 the the DT 39713 4655 22 current current JJ 39713 4655 23 passing passing NN 39713 4655 24 ? ? . 39713 4656 1 he -PRON- PRP 39713 4656 2 looks look VBZ 39713 4656 3 at at IN 39713 4656 4 the the DT 39713 4656 5 wire wire NN 39713 4656 6 to to TO 39713 4656 7 try try VB 39713 4656 8 to to TO 39713 4656 9 see see VB 39713 4656 10 something something NN 39713 4656 11 pass pass JJ 39713 4656 12 ; ; : 39713 4656 13 but but CC 39713 4656 14 if if IN 39713 4656 15 I -PRON- PRP 39713 4656 16 put put VBP 39713 4656 17 the the DT 39713 4656 18 same same JJ 39713 4656 19 question question NN 39713 4656 20 to to IN 39713 4656 21 my -PRON- PRP$ 39713 4656 22 assistant assistant NN 39713 4656 23 who who WP 39713 4656 24 understands understand VBZ 39713 4656 25 my -PRON- PRP$ 39713 4656 26 language language NN 39713 4656 27 , , , 39713 4656 28 he -PRON- PRP 39713 4656 29 will will MD 39713 4656 30 know know VB 39713 4656 31 I -PRON- PRP 39713 4656 32 mean mean VBP 39713 4656 33 : : : 39713 4656 34 Does do VBZ 39713 4656 35 the the DT 39713 4656 36 spot spot NN 39713 4656 37 move move VB 39713 4656 38 ? ? . 39713 4657 1 and and CC 39713 4657 2 he -PRON- PRP 39713 4657 3 will will MD 39713 4657 4 look look VB 39713 4657 5 at at IN 39713 4657 6 the the DT 39713 4657 7 scale scale NN 39713 4657 8 . . . 39713 4658 1 What what WDT 39713 4658 2 difference difference NN 39713 4658 3 is be VBZ 39713 4658 4 there there RB 39713 4658 5 then then RB 39713 4658 6 between between IN 39713 4658 7 the the DT 39713 4658 8 statement statement NN 39713 4658 9 of of IN 39713 4658 10 a a DT 39713 4658 11 fact fact NN 39713 4658 12 in in IN 39713 4658 13 the the DT 39713 4658 14 rough rough JJ 39713 4658 15 and and CC 39713 4658 16 the the DT 39713 4658 17 statement statement NN 39713 4658 18 of of IN 39713 4658 19 a a DT 39713 4658 20 scientific scientific JJ 39713 4658 21 fact fact NN 39713 4658 22 ? ? . 39713 4659 1 The the DT 39713 4659 2 same same JJ 39713 4659 3 difference difference NN 39713 4659 4 as as IN 39713 4659 5 between between IN 39713 4659 6 the the DT 39713 4659 7 statement statement NN 39713 4659 8 of of IN 39713 4659 9 the the DT 39713 4659 10 same same JJ 39713 4659 11 crude crude JJ 39713 4659 12 fact fact NN 39713 4659 13 in in IN 39713 4659 14 French French NNP 39713 4659 15 and and CC 39713 4659 16 in in IN 39713 4659 17 German German NNP 39713 4659 18 . . . 39713 4660 1 The the DT 39713 4660 2 scientific scientific JJ 39713 4660 3 statement statement NN 39713 4660 4 is be VBZ 39713 4660 5 the the DT 39713 4660 6 translation translation NN 39713 4660 7 of of IN 39713 4660 8 the the DT 39713 4660 9 crude crude JJ 39713 4660 10 statement statement NN 39713 4660 11 into into IN 39713 4660 12 a a DT 39713 4660 13 language language NN 39713 4660 14 which which WDT 39713 4660 15 is be VBZ 39713 4660 16 distinguished distinguish VBN 39713 4660 17 above above IN 39713 4660 18 all all DT 39713 4660 19 from from IN 39713 4660 20 the the DT 39713 4660 21 common common JJ 39713 4660 22 German German NNP 39713 4660 23 or or CC 39713 4660 24 French French NNP 39713 4660 25 , , , 39713 4660 26 because because IN 39713 4660 27 it -PRON- PRP 39713 4660 28 is be VBZ 39713 4660 29 spoken speak VBN 39713 4660 30 by by IN 39713 4660 31 a a DT 39713 4660 32 very very RB 39713 4660 33 much much RB 39713 4660 34 smaller small JJR 39713 4660 35 number number NN 39713 4660 36 of of IN 39713 4660 37 people people NNS 39713 4660 38 . . . 39713 4661 1 Yet yet CC 39713 4661 2 let let VB 39713 4661 3 us -PRON- PRP 39713 4661 4 not not RB 39713 4661 5 go go VB 39713 4661 6 too too RB 39713 4661 7 fast fast RB 39713 4661 8 . . . 39713 4662 1 To to TO 39713 4662 2 measure measure VB 39713 4662 3 a a DT 39713 4662 4 current current NN 39713 4662 5 I -PRON- PRP 39713 4662 6 may may MD 39713 4662 7 use use VB 39713 4662 8 a a DT 39713 4662 9 very very RB 39713 4662 10 great great JJ 39713 4662 11 number number NN 39713 4662 12 of of IN 39713 4662 13 types type NNS 39713 4662 14 of of IN 39713 4662 15 galvanometers galvanometer NNS 39713 4662 16 or or CC 39713 4662 17 besides besides IN 39713 4662 18 an an DT 39713 4662 19 electrodynamometer electrodynamometer NN 39713 4662 20 . . . 39713 4663 1 And and CC 39713 4663 2 then then RB 39713 4663 3 when when WRB 39713 4663 4 I -PRON- PRP 39713 4663 5 shall shall MD 39713 4663 6 say say VB 39713 4663 7 there there EX 39713 4663 8 is be VBZ 39713 4663 9 running run VBG 39713 4663 10 in in IN 39713 4663 11 this this DT 39713 4663 12 circuit circuit NN 39713 4663 13 a a DT 39713 4663 14 current current NN 39713 4663 15 of of IN 39713 4663 16 so so RB 39713 4663 17 many many JJ 39713 4663 18 amperes ampere NNS 39713 4663 19 , , , 39713 4663 20 that that WDT 39713 4663 21 will will MD 39713 4663 22 mean mean VB 39713 4663 23 : : : 39713 4663 24 if if IN 39713 4663 25 I -PRON- PRP 39713 4663 26 adapt adapt VBP 39713 4663 27 to to IN 39713 4663 28 this this DT 39713 4663 29 circuit circuit NN 39713 4663 30 such such PDT 39713 4663 31 a a DT 39713 4663 32 galvanometer galvanometer NN 39713 4663 33 I -PRON- PRP 39713 4663 34 shall shall MD 39713 4663 35 see see VB 39713 4663 36 the the DT 39713 4663 37 spot spot NN 39713 4663 38 come come VBN 39713 4663 39 to to IN 39713 4663 40 the the DT 39713 4663 41 division division NN 39713 4663 42 _ _ NNP 39713 4663 43 a a DT 39713 4663 44 _ _ NNP 39713 4663 45 ; ; : 39713 4663 46 but but CC 39713 4663 47 that that DT 39713 4663 48 will will MD 39713 4663 49 mean mean VB 39713 4663 50 equally equally RB 39713 4663 51 : : : 39713 4663 52 if if IN 39713 4663 53 I -PRON- PRP 39713 4663 54 adapt adapt VBP 39713 4663 55 to to IN 39713 4663 56 this this DT 39713 4663 57 circuit circuit NN 39713 4663 58 such such PDT 39713 4663 59 an an DT 39713 4663 60 electrodynamometer electrodynamometer NN 39713 4663 61 , , , 39713 4663 62 I -PRON- PRP 39713 4663 63 shall shall MD 39713 4663 64 see see VB 39713 4663 65 the the DT 39713 4663 66 spot spot NN 39713 4663 67 go go VB 39713 4663 68 to to IN 39713 4663 69 the the DT 39713 4663 70 division division NN 39713 4663 71 _ _ NNP 39713 4663 72 b b NNP 39713 4663 73 _ _ NNP 39713 4663 74 . . . 39713 4664 1 And and CC 39713 4664 2 that that DT 39713 4664 3 will will MD 39713 4664 4 mean mean VB 39713 4664 5 still still RB 39713 4664 6 many many JJ 39713 4664 7 other other JJ 39713 4664 8 things thing NNS 39713 4664 9 , , , 39713 4664 10 because because IN 39713 4664 11 the the DT 39713 4664 12 current current NN 39713 4664 13 can can MD 39713 4664 14 manifest manifest VB 39713 4664 15 itself -PRON- PRP 39713 4664 16 not not RB 39713 4664 17 only only RB 39713 4664 18 by by IN 39713 4664 19 mechanical mechanical JJ 39713 4664 20 effects effect NNS 39713 4664 21 , , , 39713 4664 22 but but CC 39713 4664 23 by by IN 39713 4664 24 effects effect NNS 39713 4664 25 chemical chemical JJ 39713 4664 26 , , , 39713 4664 27 thermal thermal JJ 39713 4664 28 , , , 39713 4664 29 luminous luminous JJ 39713 4664 30 , , , 39713 4664 31 etc etc FW 39713 4664 32 . . . 39713 4665 1 Here here RB 39713 4665 2 then then RB 39713 4665 3 is be VBZ 39713 4665 4 one one CD 39713 4665 5 same same JJ 39713 4665 6 statement statement NN 39713 4665 7 which which WDT 39713 4665 8 suits suit VBZ 39713 4665 9 a a DT 39713 4665 10 very very RB 39713 4665 11 great great JJ 39713 4665 12 number number NN 39713 4665 13 of of IN 39713 4665 14 facts fact NNS 39713 4665 15 absolutely absolutely RB 39713 4665 16 different different JJ 39713 4665 17 . . . 39713 4666 1 Why why WRB 39713 4666 2 ? ? . 39713 4667 1 It -PRON- PRP 39713 4667 2 is be VBZ 39713 4667 3 because because IN 39713 4667 4 I -PRON- PRP 39713 4667 5 assume assume VBP 39713 4667 6 a a DT 39713 4667 7 law law NN 39713 4667 8 according accord VBG 39713 4667 9 to to IN 39713 4667 10 which which WDT 39713 4667 11 , , , 39713 4667 12 whenever whenever WRB 39713 4667 13 such such PDT 39713 4667 14 a a DT 39713 4667 15 mechanical mechanical JJ 39713 4667 16 effect effect NN 39713 4667 17 shall shall MD 39713 4667 18 happen happen VB 39713 4667 19 , , , 39713 4667 20 such such PDT 39713 4667 21 a a DT 39713 4667 22 chemical chemical NN 39713 4667 23 effect effect NN 39713 4667 24 will will MD 39713 4667 25 happen happen VB 39713 4667 26 also also RB 39713 4667 27 . . . 39713 4668 1 Previous previous JJ 39713 4668 2 experiments experiment NNS 39713 4668 3 , , , 39713 4668 4 very very RB 39713 4668 5 numerous numerous JJ 39713 4668 6 , , , 39713 4668 7 have have VBP 39713 4668 8 never never RB 39713 4668 9 shown show VBN 39713 4668 10 this this DT 39713 4668 11 law law NN 39713 4668 12 to to TO 39713 4668 13 fail fail VB 39713 4668 14 , , , 39713 4668 15 and and CC 39713 4668 16 then then RB 39713 4668 17 I -PRON- PRP 39713 4668 18 have have VBP 39713 4668 19 understood understand VBN 39713 4668 20 that that IN 39713 4668 21 I -PRON- PRP 39713 4668 22 could could MD 39713 4668 23 express express VB 39713 4668 24 by by IN 39713 4668 25 the the DT 39713 4668 26 same same JJ 39713 4668 27 statement statement NN 39713 4668 28 two two CD 39713 4668 29 facts fact NNS 39713 4668 30 so so RB 39713 4668 31 invariably invariably RB 39713 4668 32 bound bind VBD 39713 4668 33 one one CD 39713 4668 34 to to IN 39713 4668 35 the the DT 39713 4668 36 other other JJ 39713 4668 37 . . . 39713 4669 1 When when WRB 39713 4669 2 I -PRON- PRP 39713 4669 3 am be VBP 39713 4669 4 asked ask VBN 39713 4669 5 : : : 39713 4669 6 Is be VBZ 39713 4669 7 the the DT 39713 4669 8 current current JJ 39713 4669 9 passing passing NN 39713 4669 10 ? ? . 39713 4670 1 I -PRON- PRP 39713 4670 2 can can MD 39713 4670 3 understand understand VB 39713 4670 4 that that IN 39713 4670 5 that that DT 39713 4670 6 means mean VBZ 39713 4670 7 : : : 39713 4670 8 Will Will MD 39713 4670 9 such such PDT 39713 4670 10 a a DT 39713 4670 11 mechanical mechanical JJ 39713 4670 12 effect effect NN 39713 4670 13 happen happen VB 39713 4670 14 ? ? . 39713 4671 1 But but CC 39713 4671 2 I -PRON- PRP 39713 4671 3 can can MD 39713 4671 4 understand understand VB 39713 4671 5 also also RB 39713 4671 6 : : : 39713 4671 7 Will Will MD 39713 4671 8 such such PDT 39713 4671 9 a a DT 39713 4671 10 chemical chemical NN 39713 4671 11 effect effect NN 39713 4671 12 happen happen VB 39713 4671 13 ? ? . 39713 4672 1 I -PRON- PRP 39713 4672 2 shall shall MD 39713 4672 3 then then RB 39713 4672 4 verify verify VB 39713 4672 5 either either CC 39713 4672 6 the the DT 39713 4672 7 existence existence NN 39713 4672 8 of of IN 39713 4672 9 the the DT 39713 4672 10 mechanical mechanical JJ 39713 4672 11 effect effect NN 39713 4672 12 , , , 39713 4672 13 or or CC 39713 4672 14 that that DT 39713 4672 15 of of IN 39713 4672 16 the the DT 39713 4672 17 chemical chemical JJ 39713 4672 18 effect effect NN 39713 4672 19 ; ; : 39713 4672 20 that that DT 39713 4672 21 will will MD 39713 4672 22 be be VB 39713 4672 23 indifferent indifferent JJ 39713 4672 24 , , , 39713 4672 25 since since IN 39713 4672 26 in in IN 39713 4672 27 both both DT 39713 4672 28 cases case NNS 39713 4672 29 the the DT 39713 4672 30 answer answer NN 39713 4672 31 must must MD 39713 4672 32 be be VB 39713 4672 33 the the DT 39713 4672 34 same same JJ 39713 4672 35 . . . 39713 4673 1 And and CC 39713 4673 2 if if IN 39713 4673 3 the the DT 39713 4673 4 law law NN 39713 4673 5 should should MD 39713 4673 6 one one CD 39713 4673 7 day day NN 39713 4673 8 be be VB 39713 4673 9 found find VBN 39713 4673 10 false false JJ 39713 4673 11 ? ? . 39713 4674 1 If if IN 39713 4674 2 it -PRON- PRP 39713 4674 3 was be VBD 39713 4674 4 perceived perceive VBN 39713 4674 5 that that IN 39713 4674 6 the the DT 39713 4674 7 concordance concordance NN 39713 4674 8 of of IN 39713 4674 9 the the DT 39713 4674 10 two two CD 39713 4674 11 effects effect NNS 39713 4674 12 , , , 39713 4674 13 mechanical mechanical JJ 39713 4674 14 and and CC 39713 4674 15 chemical chemical JJ 39713 4674 16 , , , 39713 4674 17 is be VBZ 39713 4674 18 not not RB 39713 4674 19 constant constant JJ 39713 4674 20 ? ? . 39713 4675 1 That that DT 39713 4675 2 day day NN 39713 4675 3 it -PRON- PRP 39713 4675 4 would would MD 39713 4675 5 be be VB 39713 4675 6 necessary necessary JJ 39713 4675 7 to to TO 39713 4675 8 change change VB 39713 4675 9 the the DT 39713 4675 10 scientific scientific JJ 39713 4675 11 language language NN 39713 4675 12 to to TO 39713 4675 13 free free VB 39713 4675 14 it -PRON- PRP 39713 4675 15 from from IN 39713 4675 16 a a DT 39713 4675 17 grave grave JJ 39713 4675 18 ambiguity ambiguity NN 39713 4675 19 . . . 39713 4676 1 And and CC 39713 4676 2 after after IN 39713 4676 3 that that DT 39713 4676 4 ? ? . 39713 4677 1 Is be VBZ 39713 4677 2 it -PRON- PRP 39713 4677 3 thought think VBN 39713 4677 4 that that DT 39713 4677 5 ordinary ordinary JJ 39713 4677 6 language language NN 39713 4677 7 by by IN 39713 4677 8 aid aid NN 39713 4677 9 of of IN 39713 4677 10 which which WDT 39713 4677 11 are be VBP 39713 4677 12 expressed express VBN 39713 4677 13 the the DT 39713 4677 14 facts fact NNS 39713 4677 15 of of IN 39713 4677 16 daily daily JJ 39713 4677 17 life life NN 39713 4677 18 is be VBZ 39713 4677 19 exempt exempt JJ 39713 4677 20 from from IN 39713 4677 21 ambiguity ambiguity NN 39713 4677 22 ? ? . 39713 4678 1 _ _ NNP 39713 4678 2 Shall Shall MD 39713 4678 3 we -PRON- PRP 39713 4678 4 thence thence RB 39713 4678 5 conclude conclude VB 39713 4678 6 that that IN 39713 4678 7 the the DT 39713 4678 8 facts fact NNS 39713 4678 9 of of IN 39713 4678 10 daily daily JJ 39713 4678 11 life life NN 39713 4678 12 are be VBP 39713 4678 13 the the DT 39713 4678 14 work work NN 39713 4678 15 of of IN 39713 4678 16 the the DT 39713 4678 17 grammarians grammarians NNPS 39713 4678 18 ? ? . 39713 4678 19 _ _ NNP 39713 4678 20 You -PRON- PRP 39713 4678 21 ask ask VB 39713 4678 22 me -PRON- PRP 39713 4678 23 : : : 39713 4678 24 Is be VBZ 39713 4678 25 there there EX 39713 4678 26 a a DT 39713 4678 27 current current NN 39713 4678 28 ? ? . 39713 4679 1 I -PRON- PRP 39713 4679 2 try try VBP 39713 4679 3 whether whether IN 39713 4679 4 the the DT 39713 4679 5 mechanical mechanical JJ 39713 4679 6 effect effect NN 39713 4679 7 exists exist VBZ 39713 4679 8 , , , 39713 4679 9 I -PRON- PRP 39713 4679 10 ascertain ascertain VBP 39713 4679 11 it -PRON- PRP 39713 4679 12 and and CC 39713 4679 13 I -PRON- PRP 39713 4679 14 answer answer VBP 39713 4679 15 : : : 39713 4679 16 Yes yes UH 39713 4679 17 , , , 39713 4679 18 there there EX 39713 4679 19 is be VBZ 39713 4679 20 a a DT 39713 4679 21 current current NN 39713 4679 22 . . . 39713 4680 1 You -PRON- PRP 39713 4680 2 understand understand VBP 39713 4680 3 at at IN 39713 4680 4 once once IN 39713 4680 5 that that IN 39713 4680 6 that that DT 39713 4680 7 means mean VBZ 39713 4680 8 that that IN 39713 4680 9 the the DT 39713 4680 10 mechanical mechanical JJ 39713 4680 11 effect effect NN 39713 4680 12 exists exist VBZ 39713 4680 13 , , , 39713 4680 14 and and CC 39713 4680 15 that that IN 39713 4680 16 the the DT 39713 4680 17 chemical chemical JJ 39713 4680 18 effect effect NN 39713 4680 19 , , , 39713 4680 20 that that IN 39713 4680 21 I -PRON- PRP 39713 4680 22 have have VBP 39713 4680 23 not not RB 39713 4680 24 investigated investigate VBN 39713 4680 25 , , , 39713 4680 26 exists exist VBZ 39713 4680 27 likewise likewise RB 39713 4680 28 . . . 39713 4681 1 Imagine imagine VB 39713 4681 2 now now RB 39713 4681 3 , , , 39713 4681 4 supposing suppose VBG 39713 4681 5 an an DT 39713 4681 6 impossibility impossibility NN 39713 4681 7 , , , 39713 4681 8 the the DT 39713 4681 9 law law NN 39713 4681 10 we -PRON- PRP 39713 4681 11 believe believe VBP 39713 4681 12 true true JJ 39713 4681 13 , , , 39713 4681 14 not not RB 39713 4681 15 to to TO 39713 4681 16 be be VB 39713 4681 17 , , , 39713 4681 18 and and CC 39713 4681 19 the the DT 39713 4681 20 chemical chemical JJ 39713 4681 21 effect effect NN 39713 4681 22 not not RB 39713 4681 23 to to TO 39713 4681 24 exist exist VB 39713 4681 25 . . . 39713 4682 1 Under under IN 39713 4682 2 this this DT 39713 4682 3 hypothesis hypothesis NN 39713 4682 4 there there EX 39713 4682 5 will will MD 39713 4682 6 be be VB 39713 4682 7 two two CD 39713 4682 8 distinct distinct JJ 39713 4682 9 facts fact NNS 39713 4682 10 , , , 39713 4682 11 the the DT 39713 4682 12 one one NN 39713 4682 13 directly directly RB 39713 4682 14 observed observe VBN 39713 4682 15 and and CC 39713 4682 16 which which WDT 39713 4682 17 is be VBZ 39713 4682 18 true true JJ 39713 4682 19 , , , 39713 4682 20 the the DT 39713 4682 21 other other JJ 39713 4682 22 inferred infer VBD 39713 4682 23 and and CC 39713 4682 24 which which WDT 39713 4682 25 is be VBZ 39713 4682 26 false false JJ 39713 4682 27 . . . 39713 4683 1 It -PRON- PRP 39713 4683 2 may may MD 39713 4683 3 strictly strictly RB 39713 4683 4 be be VB 39713 4683 5 said say VBN 39713 4683 6 that that IN 39713 4683 7 we -PRON- PRP 39713 4683 8 have have VBP 39713 4683 9 created create VBN 39713 4683 10 the the DT 39713 4683 11 second second NN 39713 4683 12 . . . 39713 4684 1 So so RB 39713 4684 2 that that DT 39713 4684 3 error error NN 39713 4684 4 is be VBZ 39713 4684 5 the the DT 39713 4684 6 part part NN 39713 4684 7 of of IN 39713 4684 8 man man NN 39713 4684 9 's 's POS 39713 4684 10 personal personal JJ 39713 4684 11 collaboration collaboration NN 39713 4684 12 in in IN 39713 4684 13 the the DT 39713 4684 14 creation creation NN 39713 4684 15 of of IN 39713 4684 16 the the DT 39713 4684 17 scientific scientific JJ 39713 4684 18 fact fact NN 39713 4684 19 . . . 39713 4685 1 But but CC 39713 4685 2 if if IN 39713 4685 3 we -PRON- PRP 39713 4685 4 can can MD 39713 4685 5 say say VB 39713 4685 6 that that IN 39713 4685 7 the the DT 39713 4685 8 fact fact NN 39713 4685 9 in in IN 39713 4685 10 question question NN 39713 4685 11 is be VBZ 39713 4685 12 false false JJ 39713 4685 13 , , , 39713 4685 14 is be VBZ 39713 4685 15 this this DT 39713 4685 16 not not RB 39713 4685 17 just just RB 39713 4685 18 because because IN 39713 4685 19 it -PRON- PRP 39713 4685 20 is be VBZ 39713 4685 21 not not RB 39713 4685 22 a a DT 39713 4685 23 free free JJ 39713 4685 24 and and CC 39713 4685 25 arbitrary arbitrary JJ 39713 4685 26 creation creation NN 39713 4685 27 of of IN 39713 4685 28 our -PRON- PRP$ 39713 4685 29 mind mind NN 39713 4685 30 , , , 39713 4685 31 a a DT 39713 4685 32 disguised disguised JJ 39713 4685 33 convention convention NN 39713 4685 34 , , , 39713 4685 35 in in IN 39713 4685 36 which which WDT 39713 4685 37 case case NN 39713 4685 38 it -PRON- PRP 39713 4685 39 would would MD 39713 4685 40 be be VB 39713 4685 41 neither neither CC 39713 4685 42 true true JJ 39713 4685 43 nor nor CC 39713 4685 44 false false JJ 39713 4685 45 . . . 39713 4686 1 And and CC 39713 4686 2 in in IN 39713 4686 3 fact fact NN 39713 4686 4 it -PRON- PRP 39713 4686 5 was be VBD 39713 4686 6 verifiable verifiable JJ 39713 4686 7 ; ; : 39713 4686 8 I -PRON- PRP 39713 4686 9 had have VBD 39713 4686 10 not not RB 39713 4686 11 made make VBN 39713 4686 12 the the DT 39713 4686 13 verification verification NN 39713 4686 14 , , , 39713 4686 15 but but CC 39713 4686 16 I -PRON- PRP 39713 4686 17 could could MD 39713 4686 18 have have VB 39713 4686 19 made make VBN 39713 4686 20 it -PRON- PRP 39713 4686 21 . . . 39713 4687 1 If if IN 39713 4687 2 I -PRON- PRP 39713 4687 3 answered answer VBD 39713 4687 4 amiss amiss JJ 39713 4687 5 , , , 39713 4687 6 it -PRON- PRP 39713 4687 7 was be VBD 39713 4687 8 because because IN 39713 4687 9 I -PRON- PRP 39713 4687 10 chose choose VBD 39713 4687 11 to to TO 39713 4687 12 reply reply VB 39713 4687 13 too too RB 39713 4687 14 quickly quickly RB 39713 4687 15 , , , 39713 4687 16 without without IN 39713 4687 17 having have VBG 39713 4687 18 asked ask VBN 39713 4687 19 nature nature NN 39713 4687 20 , , , 39713 4687 21 who who WP 39713 4687 22 alone alone RB 39713 4687 23 knew know VBD 39713 4687 24 the the DT 39713 4687 25 secret secret NN 39713 4687 26 . . . 39713 4688 1 When when WRB 39713 4688 2 , , , 39713 4688 3 after after IN 39713 4688 4 an an DT 39713 4688 5 experiment experiment NN 39713 4688 6 , , , 39713 4688 7 I -PRON- PRP 39713 4688 8 correct correct VBP 39713 4688 9 the the DT 39713 4688 10 accidental accidental JJ 39713 4688 11 and and CC 39713 4688 12 systematic systematic JJ 39713 4688 13 errors error NNS 39713 4688 14 to to TO 39713 4688 15 bring bring VB 39713 4688 16 out out RP 39713 4688 17 the the DT 39713 4688 18 scientific scientific JJ 39713 4688 19 fact fact NN 39713 4688 20 , , , 39713 4688 21 the the DT 39713 4688 22 case case NN 39713 4688 23 is be VBZ 39713 4688 24 the the DT 39713 4688 25 same same JJ 39713 4688 26 ; ; : 39713 4688 27 the the DT 39713 4688 28 scientific scientific JJ 39713 4688 29 fact fact NN 39713 4688 30 will will MD 39713 4688 31 never never RB 39713 4688 32 be be VB 39713 4688 33 anything anything NN 39713 4688 34 but but IN 39713 4688 35 the the DT 39713 4688 36 crude crude JJ 39713 4688 37 fact fact NN 39713 4688 38 translated translate VBN 39713 4688 39 into into IN 39713 4688 40 another another DT 39713 4688 41 language language NN 39713 4688 42 . . . 39713 4689 1 When when WRB 39713 4689 2 I -PRON- PRP 39713 4689 3 shall shall MD 39713 4689 4 say say VB 39713 4689 5 : : : 39713 4689 6 It -PRON- PRP 39713 4689 7 is be VBZ 39713 4689 8 such such PDT 39713 4689 9 an an DT 39713 4689 10 hour hour NN 39713 4689 11 , , , 39713 4689 12 that that DT 39713 4689 13 will will MD 39713 4689 14 be be VB 39713 4689 15 a a DT 39713 4689 16 short short JJ 39713 4689 17 way way NN 39713 4689 18 of of IN 39713 4689 19 saying saying NN 39713 4689 20 : : : 39713 4689 21 There there EX 39713 4689 22 is be VBZ 39713 4689 23 such such PDT 39713 4689 24 a a DT 39713 4689 25 relation relation NN 39713 4689 26 between between IN 39713 4689 27 the the DT 39713 4689 28 hour hour NN 39713 4689 29 indicated indicate VBN 39713 4689 30 by by IN 39713 4689 31 my -PRON- PRP$ 39713 4689 32 clock clock NN 39713 4689 33 , , , 39713 4689 34 and and CC 39713 4689 35 the the DT 39713 4689 36 hour hour NN 39713 4689 37 it -PRON- PRP 39713 4689 38 marked mark VBD 39713 4689 39 at at IN 39713 4689 40 the the DT 39713 4689 41 moment moment NN 39713 4689 42 of of IN 39713 4689 43 the the DT 39713 4689 44 passing passing NN 39713 4689 45 of of IN 39713 4689 46 such such PDT 39713 4689 47 a a DT 39713 4689 48 star star NN 39713 4689 49 and and CC 39713 4689 50 such such PDT 39713 4689 51 another another DT 39713 4689 52 star star NN 39713 4689 53 across across IN 39713 4689 54 the the DT 39713 4689 55 meridian meridian NN 39713 4689 56 . . . 39713 4690 1 And and CC 39713 4690 2 this this DT 39713 4690 3 convention convention NN 39713 4690 4 of of IN 39713 4690 5 language language NN 39713 4690 6 once once RB 39713 4690 7 adopted adopt VBD 39713 4690 8 , , , 39713 4690 9 when when WRB 39713 4690 10 I -PRON- PRP 39713 4690 11 shall shall MD 39713 4690 12 be be VB 39713 4690 13 asked ask VBN 39713 4690 14 : : : 39713 4690 15 Is be VBZ 39713 4690 16 it -PRON- PRP 39713 4690 17 such such PDT 39713 4690 18 an an DT 39713 4690 19 hour hour NN 39713 4690 20 ? ? . 39713 4691 1 it -PRON- PRP 39713 4691 2 will will MD 39713 4691 3 not not RB 39713 4691 4 depend depend VB 39713 4691 5 upon upon IN 39713 4691 6 me -PRON- PRP 39713 4691 7 to to TO 39713 4691 8 answer answer VB 39713 4691 9 yes yes UH 39713 4691 10 or or CC 39713 4691 11 no no UH 39713 4691 12 . . . 39713 4692 1 Let let VB 39713 4692 2 us -PRON- PRP 39713 4692 3 pass pass VB 39713 4692 4 to to IN 39713 4692 5 the the DT 39713 4692 6 stage stage NN 39713 4692 7 before before IN 39713 4692 8 the the DT 39713 4692 9 last last JJ 39713 4692 10 : : : 39713 4692 11 the the DT 39713 4692 12 eclipse eclipse NN 39713 4692 13 happened happen VBD 39713 4692 14 at at IN 39713 4692 15 the the DT 39713 4692 16 hour hour NN 39713 4692 17 given give VBN 39713 4692 18 by by IN 39713 4692 19 the the DT 39713 4692 20 tables table NNS 39713 4692 21 deduced deduce VBN 39713 4692 22 from from IN 39713 4692 23 Newton Newton NNP 39713 4692 24 's 's POS 39713 4692 25 laws law NNS 39713 4692 26 . . . 39713 4693 1 This this DT 39713 4693 2 is be VBZ 39713 4693 3 still still RB 39713 4693 4 a a DT 39713 4693 5 convention convention NN 39713 4693 6 of of IN 39713 4693 7 language language NN 39713 4693 8 which which WDT 39713 4693 9 is be VBZ 39713 4693 10 perfectly perfectly RB 39713 4693 11 clear clear JJ 39713 4693 12 for for IN 39713 4693 13 those those DT 39713 4693 14 who who WP 39713 4693 15 know know VBP 39713 4693 16 celestial celestial JJ 39713 4693 17 mechanics mechanic NNS 39713 4693 18 or or CC 39713 4693 19 simply simply RB 39713 4693 20 for for IN 39713 4693 21 those those DT 39713 4693 22 who who WP 39713 4693 23 have have VBP 39713 4693 24 the the DT 39713 4693 25 tables table NNS 39713 4693 26 calculated calculate VBN 39713 4693 27 by by IN 39713 4693 28 the the DT 39713 4693 29 astronomers astronomer NNS 39713 4693 30 . . . 39713 4694 1 I -PRON- PRP 39713 4694 2 am be VBP 39713 4694 3 asked ask VBN 39713 4694 4 : : : 39713 4694 5 Did do VBD 39713 4694 6 the the DT 39713 4694 7 eclipse eclipse NN 39713 4694 8 happen happen VB 39713 4694 9 at at IN 39713 4694 10 the the DT 39713 4694 11 hour hour NN 39713 4694 12 predicted predict VBD 39713 4694 13 ? ? . 39713 4695 1 I -PRON- PRP 39713 4695 2 look look VBP 39713 4695 3 in in IN 39713 4695 4 the the DT 39713 4695 5 nautical nautical JJ 39713 4695 6 almanac almanac NN 39713 4695 7 , , , 39713 4695 8 I -PRON- PRP 39713 4695 9 see see VBP 39713 4695 10 that that IN 39713 4695 11 the the DT 39713 4695 12 eclipse eclipse NN 39713 4695 13 was be VBD 39713 4695 14 announced announce VBN 39713 4695 15 for for IN 39713 4695 16 nine nine CD 39713 4695 17 o'clock o'clock NN 39713 4695 18 and and CC 39713 4695 19 I -PRON- PRP 39713 4695 20 understand understand VBP 39713 4695 21 that that IN 39713 4695 22 the the DT 39713 4695 23 question question NN 39713 4695 24 means mean VBZ 39713 4695 25 : : : 39713 4695 26 Did do VBD 39713 4695 27 the the DT 39713 4695 28 eclipse eclipse NN 39713 4695 29 happen happen VB 39713 4695 30 at at IN 39713 4695 31 nine nine CD 39713 4695 32 o'clock o'clock NN 39713 4695 33 ? ? . 39713 4696 1 There there EX 39713 4696 2 still still RB 39713 4696 3 we -PRON- PRP 39713 4696 4 have have VBP 39713 4696 5 nothing nothing NN 39713 4696 6 to to TO 39713 4696 7 change change VB 39713 4696 8 in in IN 39713 4696 9 our -PRON- PRP$ 39713 4696 10 conclusions conclusion NNS 39713 4696 11 . . . 39713 4697 1 _ _ NNP 39713 4697 2 The the DT 39713 4697 3 scientific scientific JJ 39713 4697 4 fact fact NN 39713 4697 5 is be VBZ 39713 4697 6 only only RB 39713 4697 7 the the DT 39713 4697 8 crude crude JJ 39713 4697 9 fact fact NN 39713 4697 10 translated translate VBN 39713 4697 11 into into IN 39713 4697 12 a a DT 39713 4697 13 convenient convenient JJ 39713 4697 14 language language NN 39713 4697 15 . . . 39713 4697 16 _ _ NNP 39713 4697 17 It -PRON- PRP 39713 4697 18 is be VBZ 39713 4697 19 true true JJ 39713 4697 20 that that IN 39713 4697 21 at at IN 39713 4697 22 the the DT 39713 4697 23 last last JJ 39713 4697 24 stage stage NN 39713 4697 25 things thing NNS 39713 4697 26 change change VBP 39713 4697 27 . . . 39713 4698 1 Does do VBZ 39713 4698 2 the the DT 39713 4698 3 earth earth NN 39713 4698 4 rotate rotate VB 39713 4698 5 ? ? . 39713 4699 1 Is be VBZ 39713 4699 2 this this DT 39713 4699 3 a a DT 39713 4699 4 verifiable verifiable JJ 39713 4699 5 fact fact NN 39713 4699 6 ? ? . 39713 4700 1 Could Could MD 39713 4700 2 Galileo Galileo NNP 39713 4700 3 and and CC 39713 4700 4 the the DT 39713 4700 5 Grand Grand NNP 39713 4700 6 Inquisitor Inquisitor NNP 39713 4700 7 , , , 39713 4700 8 to to TO 39713 4700 9 settle settle VB 39713 4700 10 the the DT 39713 4700 11 matter matter NN 39713 4700 12 , , , 39713 4700 13 appeal appeal VBP 39713 4700 14 to to IN 39713 4700 15 the the DT 39713 4700 16 witness witness NN 39713 4700 17 of of IN 39713 4700 18 their -PRON- PRP$ 39713 4700 19 senses sense NNS 39713 4700 20 ? ? . 39713 4701 1 On on IN 39713 4701 2 the the DT 39713 4701 3 contrary contrary NN 39713 4701 4 , , , 39713 4701 5 they -PRON- PRP 39713 4701 6 were be VBD 39713 4701 7 in in IN 39713 4701 8 accord accord NN 39713 4701 9 about about IN 39713 4701 10 the the DT 39713 4701 11 appearances appearance NNS 39713 4701 12 , , , 39713 4701 13 and and CC 39713 4701 14 whatever whatever WDT 39713 4701 15 had have VBD 39713 4701 16 been be VBN 39713 4701 17 the the DT 39713 4701 18 accumulated accumulate VBN 39713 4701 19 experiences experience NNS 39713 4701 20 , , , 39713 4701 21 they -PRON- PRP 39713 4701 22 would would MD 39713 4701 23 have have VB 39713 4701 24 remained remain VBN 39713 4701 25 in in IN 39713 4701 26 accord accord NN 39713 4701 27 with with IN 39713 4701 28 regard regard NN 39713 4701 29 to to IN 39713 4701 30 the the DT 39713 4701 31 appearances appearance NNS 39713 4701 32 without without IN 39713 4701 33 ever ever RB 39713 4701 34 agreeing agree VBG 39713 4701 35 on on IN 39713 4701 36 their -PRON- PRP$ 39713 4701 37 interpretation interpretation NN 39713 4701 38 . . . 39713 4702 1 It -PRON- PRP 39713 4702 2 is be VBZ 39713 4702 3 just just RB 39713 4702 4 on on IN 39713 4702 5 that that DT 39713 4702 6 account account NN 39713 4702 7 that that IN 39713 4702 8 they -PRON- PRP 39713 4702 9 were be VBD 39713 4702 10 obliged oblige VBN 39713 4702 11 to to TO 39713 4702 12 have have VB 39713 4702 13 recourse recourse VBN 39713 4702 14 to to IN 39713 4702 15 procedures procedure NNS 39713 4702 16 of of IN 39713 4702 17 discussion discussion NN 39713 4702 18 so so RB 39713 4702 19 unscientific unscientific JJ 39713 4702 20 . . . 39713 4703 1 This this DT 39713 4703 2 is be VBZ 39713 4703 3 why why WRB 39713 4703 4 I -PRON- PRP 39713 4703 5 think think VBP 39713 4703 6 they -PRON- PRP 39713 4703 7 did do VBD 39713 4703 8 not not RB 39713 4703 9 disagree disagree VB 39713 4703 10 about about IN 39713 4703 11 a a DT 39713 4703 12 _ _ NNP 39713 4703 13 fact fact NN 39713 4703 14 _ _ NN 39713 4703 15 : : : 39713 4703 16 we -PRON- PRP 39713 4703 17 have have VBP 39713 4703 18 not not RB 39713 4703 19 the the DT 39713 4703 20 right right NN 39713 4703 21 to to TO 39713 4703 22 give give VB 39713 4703 23 the the DT 39713 4703 24 same same JJ 39713 4703 25 name name NN 39713 4703 26 to to IN 39713 4703 27 the the DT 39713 4703 28 rotation rotation NN 39713 4703 29 of of IN 39713 4703 30 the the DT 39713 4703 31 earth earth NN 39713 4703 32 , , , 39713 4703 33 which which WDT 39713 4703 34 was be VBD 39713 4703 35 the the DT 39713 4703 36 object object NN 39713 4703 37 of of IN 39713 4703 38 their -PRON- PRP$ 39713 4703 39 discussion discussion NN 39713 4703 40 , , , 39713 4703 41 and and CC 39713 4703 42 to to IN 39713 4703 43 the the DT 39713 4703 44 facts fact NNS 39713 4703 45 crude crude JJ 39713 4703 46 or or CC 39713 4703 47 scientific scientific JJ 39713 4703 48 we -PRON- PRP 39713 4703 49 have have VBP 39713 4703 50 hitherto hitherto VBN 39713 4703 51 passed pass VBN 39713 4703 52 in in IN 39713 4703 53 review review NN 39713 4703 54 . . . 39713 4704 1 After after IN 39713 4704 2 what what WDT 39713 4704 3 precedes precede NNS 39713 4704 4 , , , 39713 4704 5 it -PRON- PRP 39713 4704 6 seems seem VBZ 39713 4704 7 superfluous superfluous JJ 39713 4704 8 to to TO 39713 4704 9 investigate investigate VB 39713 4704 10 whether whether IN 39713 4704 11 the the DT 39713 4704 12 fact fact NN 39713 4704 13 in in IN 39713 4704 14 the the DT 39713 4704 15 rough rough NN 39713 4704 16 is be VBZ 39713 4704 17 outside outside RB 39713 4704 18 of of IN 39713 4704 19 science science NN 39713 4704 20 , , , 39713 4704 21 because because IN 39713 4704 22 there there EX 39713 4704 23 can can MD 39713 4704 24 neither neither CC 39713 4704 25 be be VB 39713 4704 26 science science NN 39713 4704 27 without without IN 39713 4704 28 scientific scientific JJ 39713 4704 29 fact fact NN 39713 4704 30 , , , 39713 4704 31 nor nor CC 39713 4704 32 scientific scientific JJ 39713 4704 33 fact fact NN 39713 4704 34 without without IN 39713 4704 35 fact fact NN 39713 4704 36 in in IN 39713 4704 37 the the DT 39713 4704 38 rough rough JJ 39713 4704 39 , , , 39713 4704 40 since since IN 39713 4704 41 the the DT 39713 4704 42 first first JJ 39713 4704 43 is be VBZ 39713 4704 44 only only RB 39713 4704 45 the the DT 39713 4704 46 translation translation NN 39713 4704 47 of of IN 39713 4704 48 the the DT 39713 4704 49 second second JJ 39713 4704 50 . . . 39713 4705 1 And and CC 39713 4705 2 then then RB 39713 4705 3 , , , 39713 4705 4 has have VBZ 39713 4705 5 one one CD 39713 4705 6 the the DT 39713 4705 7 right right NN 39713 4705 8 to to TO 39713 4705 9 say say VB 39713 4705 10 that that IN 39713 4705 11 the the DT 39713 4705 12 scientist scientist NN 39713 4705 13 creates create VBZ 39713 4705 14 the the DT 39713 4705 15 scientific scientific JJ 39713 4705 16 fact fact NN 39713 4705 17 ? ? . 39713 4706 1 First first RB 39713 4706 2 of of IN 39713 4706 3 all all DT 39713 4706 4 , , , 39713 4706 5 he -PRON- PRP 39713 4706 6 does do VBZ 39713 4706 7 not not RB 39713 4706 8 create create VB 39713 4706 9 it -PRON- PRP 39713 4706 10 from from IN 39713 4706 11 nothing nothing NN 39713 4706 12 , , , 39713 4706 13 since since IN 39713 4706 14 he -PRON- PRP 39713 4706 15 makes make VBZ 39713 4706 16 it -PRON- PRP 39713 4706 17 with with IN 39713 4706 18 the the DT 39713 4706 19 fact fact NN 39713 4706 20 in in IN 39713 4706 21 the the DT 39713 4706 22 rough rough NN 39713 4706 23 . . . 39713 4707 1 Consequently consequently RB 39713 4707 2 he -PRON- PRP 39713 4707 3 does do VBZ 39713 4707 4 not not RB 39713 4707 5 make make VB 39713 4707 6 it -PRON- PRP 39713 4707 7 freely freely RB 39713 4707 8 and and CC 39713 4707 9 _ _ NNP 39713 4707 10 as as IN 39713 4707 11 he -PRON- PRP 39713 4707 12 chooses choose VBZ 39713 4707 13 _ _ NNP 39713 4707 14 . . . 39713 4708 1 However however WRB 39713 4708 2 able able JJ 39713 4708 3 the the DT 39713 4708 4 worker worker NN 39713 4708 5 may may MD 39713 4708 6 be be VB 39713 4708 7 , , , 39713 4708 8 his -PRON- PRP$ 39713 4708 9 freedom freedom NN 39713 4708 10 is be VBZ 39713 4708 11 always always RB 39713 4708 12 limited limit VBN 39713 4708 13 by by IN 39713 4708 14 the the DT 39713 4708 15 properties property NNS 39713 4708 16 of of IN 39713 4708 17 the the DT 39713 4708 18 raw raw JJ 39713 4708 19 material material NN 39713 4708 20 on on IN 39713 4708 21 which which WDT 39713 4708 22 he -PRON- PRP 39713 4708 23 works work VBZ 39713 4708 24 . . . 39713 4709 1 After after RB 39713 4709 2 all all RB 39713 4709 3 , , , 39713 4709 4 what what WP 39713 4709 5 do do VBP 39713 4709 6 you -PRON- PRP 39713 4709 7 mean mean VB 39713 4709 8 when when WRB 39713 4709 9 you -PRON- PRP 39713 4709 10 speak speak VBP 39713 4709 11 of of IN 39713 4709 12 this this DT 39713 4709 13 free free JJ 39713 4709 14 creation creation NN 39713 4709 15 of of IN 39713 4709 16 the the DT 39713 4709 17 scientific scientific JJ 39713 4709 18 fact fact NN 39713 4709 19 and and CC 39713 4709 20 when when WRB 39713 4709 21 you -PRON- PRP 39713 4709 22 take take VBP 39713 4709 23 as as IN 39713 4709 24 example example NN 39713 4709 25 the the DT 39713 4709 26 astronomer astronomer NN 39713 4709 27 who who WP 39713 4709 28 intervenes intervene VBZ 39713 4709 29 actively actively RB 39713 4709 30 in in IN 39713 4709 31 the the DT 39713 4709 32 phenomenon phenomenon NN 39713 4709 33 of of IN 39713 4709 34 the the DT 39713 4709 35 eclipse eclipse NN 39713 4709 36 by by IN 39713 4709 37 bringing bring VBG 39713 4709 38 his -PRON- PRP$ 39713 4709 39 clock clock NN 39713 4709 40 ? ? . 39713 4710 1 Do do VBP 39713 4710 2 you -PRON- PRP 39713 4710 3 mean mean VB 39713 4710 4 : : : 39713 4710 5 The the DT 39713 4710 6 eclipse eclipse NN 39713 4710 7 happened happen VBD 39713 4710 8 at at IN 39713 4710 9 nine nine CD 39713 4710 10 o'clock o'clock NN 39713 4710 11 ; ; : 39713 4710 12 but but CC 39713 4710 13 if if IN 39713 4710 14 the the DT 39713 4710 15 astronomer astronomer NN 39713 4710 16 had have VBD 39713 4710 17 wished wish VBN 39713 4710 18 it -PRON- PRP 39713 4710 19 to to TO 39713 4710 20 happen happen VB 39713 4710 21 at at IN 39713 4710 22 ten ten CD 39713 4710 23 , , , 39713 4710 24 that that WDT 39713 4710 25 depended depend VBD 39713 4710 26 only only RB 39713 4710 27 on on IN 39713 4710 28 him -PRON- PRP 39713 4710 29 , , , 39713 4710 30 he -PRON- PRP 39713 4710 31 had have VBD 39713 4710 32 only only RB 39713 4710 33 to to TO 39713 4710 34 advance advance VB 39713 4710 35 his -PRON- PRP$ 39713 4710 36 clock clock NN 39713 4710 37 an an DT 39713 4710 38 hour hour NN 39713 4710 39 ? ? . 39713 4711 1 But but CC 39713 4711 2 the the DT 39713 4711 3 astronomer astronomer NN 39713 4711 4 , , , 39713 4711 5 in in IN 39713 4711 6 perpetrating perpetrate VBG 39713 4711 7 that that DT 39713 4711 8 bad bad JJ 39713 4711 9 joke joke NN 39713 4711 10 , , , 39713 4711 11 would would MD 39713 4711 12 evidently evidently RB 39713 4711 13 have have VB 39713 4711 14 been be VBN 39713 4711 15 guilty guilty JJ 39713 4711 16 of of IN 39713 4711 17 an an DT 39713 4711 18 equivocation equivocation NN 39713 4711 19 . . . 39713 4712 1 When when WRB 39713 4712 2 he -PRON- PRP 39713 4712 3 tells tell VBZ 39713 4712 4 me -PRON- PRP 39713 4712 5 : : : 39713 4712 6 The the DT 39713 4712 7 eclipse eclipse NN 39713 4712 8 happened happen VBD 39713 4712 9 at at IN 39713 4712 10 nine nine CD 39713 4712 11 , , , 39713 4712 12 I -PRON- PRP 39713 4712 13 understand understand VBP 39713 4712 14 that that IN 39713 4712 15 nine nine CD 39713 4712 16 is be VBZ 39713 4712 17 the the DT 39713 4712 18 hour hour NN 39713 4712 19 deduced deduce VBN 39713 4712 20 from from IN 39713 4712 21 the the DT 39713 4712 22 crude crude JJ 39713 4712 23 indication indication NN 39713 4712 24 of of IN 39713 4712 25 the the DT 39713 4712 26 pendulum pendulum NN 39713 4712 27 by by IN 39713 4712 28 the the DT 39713 4712 29 usual usual JJ 39713 4712 30 series series NN 39713 4712 31 of of IN 39713 4712 32 corrections correction NNS 39713 4712 33 . . . 39713 4713 1 If if IN 39713 4713 2 he -PRON- PRP 39713 4713 3 has have VBZ 39713 4713 4 given give VBN 39713 4713 5 me -PRON- PRP 39713 4713 6 solely solely RB 39713 4713 7 that that IN 39713 4713 8 crude crude JJ 39713 4713 9 indication indication NN 39713 4713 10 , , , 39713 4713 11 or or CC 39713 4713 12 if if IN 39713 4713 13 he -PRON- PRP 39713 4713 14 has have VBZ 39713 4713 15 made make VBN 39713 4713 16 corrections correction NNS 39713 4713 17 contrary contrary JJ 39713 4713 18 to to IN 39713 4713 19 the the DT 39713 4713 20 habitual habitual JJ 39713 4713 21 rules rule NNS 39713 4713 22 , , , 39713 4713 23 he -PRON- PRP 39713 4713 24 has have VBZ 39713 4713 25 changed change VBN 39713 4713 26 the the DT 39713 4713 27 language language NN 39713 4713 28 agreed agree VBN 39713 4713 29 upon upon IN 39713 4713 30 without without IN 39713 4713 31 forewarning forewarn VBG 39713 4713 32 me -PRON- PRP 39713 4713 33 . . . 39713 4714 1 If if IN 39713 4714 2 , , , 39713 4714 3 on on IN 39713 4714 4 the the DT 39713 4714 5 contrary contrary NN 39713 4714 6 , , , 39713 4714 7 he -PRON- PRP 39713 4714 8 took take VBD 39713 4714 9 care care NN 39713 4714 10 to to TO 39713 4714 11 forewarn forewarn VB 39713 4714 12 me -PRON- PRP 39713 4714 13 , , , 39713 4714 14 I -PRON- PRP 39713 4714 15 have have VBP 39713 4714 16 nothing nothing NN 39713 4714 17 to to TO 39713 4714 18 complain complain VB 39713 4714 19 of of IN 39713 4714 20 , , , 39713 4714 21 but but CC 39713 4714 22 then then RB 39713 4714 23 it -PRON- PRP 39713 4714 24 is be VBZ 39713 4714 25 always always RB 39713 4714 26 the the DT 39713 4714 27 same same JJ 39713 4714 28 fact fact NN 39713 4714 29 expressed express VBN 39713 4714 30 in in IN 39713 4714 31 another another DT 39713 4714 32 language language NN 39713 4714 33 . . . 39713 4715 1 In in IN 39713 4715 2 sum sum NN 39713 4715 3 , , , 39713 4715 4 _ _ NNP 39713 4715 5 all all PDT 39713 4715 6 the the DT 39713 4715 7 scientist scientist NN 39713 4715 8 creates create VBZ 39713 4715 9 in in IN 39713 4715 10 a a DT 39713 4715 11 fact fact NN 39713 4715 12 is be VBZ 39713 4715 13 the the DT 39713 4715 14 language language NN 39713 4715 15 in in IN 39713 4715 16 which which WDT 39713 4715 17 he -PRON- PRP 39713 4715 18 enunciates enunciate VBZ 39713 4715 19 it -PRON- PRP 39713 4715 20 _ _ NNP 39713 4715 21 . . . 39713 4716 1 If if IN 39713 4716 2 he -PRON- PRP 39713 4716 3 predicts predict VBZ 39713 4716 4 a a DT 39713 4716 5 fact fact NN 39713 4716 6 , , , 39713 4716 7 he -PRON- PRP 39713 4716 8 will will MD 39713 4716 9 employ employ VB 39713 4716 10 this this DT 39713 4716 11 language language NN 39713 4716 12 , , , 39713 4716 13 and and CC 39713 4716 14 for for IN 39713 4716 15 all all PDT 39713 4716 16 those those DT 39713 4716 17 who who WP 39713 4716 18 can can MD 39713 4716 19 speak speak VB 39713 4716 20 and and CC 39713 4716 21 understand understand VB 39713 4716 22 it -PRON- PRP 39713 4716 23 , , , 39713 4716 24 his -PRON- PRP$ 39713 4716 25 prediction prediction NN 39713 4716 26 is be VBZ 39713 4716 27 free free JJ 39713 4716 28 from from IN 39713 4716 29 ambiguity ambiguity NN 39713 4716 30 . . . 39713 4717 1 Moreover moreover RB 39713 4717 2 , , , 39713 4717 3 this this DT 39713 4717 4 prediction prediction NN 39713 4717 5 once once RB 39713 4717 6 made make VBD 39713 4717 7 , , , 39713 4717 8 it -PRON- PRP 39713 4717 9 evidently evidently RB 39713 4717 10 does do VBZ 39713 4717 11 not not RB 39713 4717 12 depend depend VB 39713 4717 13 upon upon IN 39713 4717 14 him -PRON- PRP 39713 4717 15 whether whether IN 39713 4717 16 it -PRON- PRP 39713 4717 17 is be VBZ 39713 4717 18 fulfilled fulfil VBN 39713 4717 19 or or CC 39713 4717 20 not not RB 39713 4717 21 . . . 39713 4718 1 What what WP 39713 4718 2 then then RB 39713 4718 3 remains remain VBZ 39713 4718 4 of of IN 39713 4718 5 M. M. NNP 39713 4718 6 LeRoy LeRoy NNP 39713 4718 7 's 's POS 39713 4718 8 thesis thesis NN 39713 4718 9 ? ? . 39713 4719 1 This this DT 39713 4719 2 remains remain VBZ 39713 4719 3 : : : 39713 4719 4 the the DT 39713 4719 5 scientist scientist NN 39713 4719 6 intervenes intervene VBZ 39713 4719 7 actively actively RB 39713 4719 8 in in IN 39713 4719 9 choosing choose VBG 39713 4719 10 the the DT 39713 4719 11 facts fact NNS 39713 4719 12 worth worth JJ 39713 4719 13 observing observe VBG 39713 4719 14 . . . 39713 4720 1 An an DT 39713 4720 2 isolated isolated JJ 39713 4720 3 fact fact NN 39713 4720 4 has have VBZ 39713 4720 5 by by IN 39713 4720 6 itself -PRON- PRP 39713 4720 7 no no DT 39713 4720 8 interest interest NN 39713 4720 9 ; ; : 39713 4720 10 it -PRON- PRP 39713 4720 11 becomes become VBZ 39713 4720 12 interesting interesting JJ 39713 4720 13 if if IN 39713 4720 14 one one PRP 39713 4720 15 has have VBZ 39713 4720 16 reason reason NN 39713 4720 17 to to TO 39713 4720 18 think think VB 39713 4720 19 that that IN 39713 4720 20 it -PRON- PRP 39713 4720 21 may may MD 39713 4720 22 aid aid VB 39713 4720 23 in in IN 39713 4720 24 the the DT 39713 4720 25 prediction prediction NN 39713 4720 26 of of IN 39713 4720 27 other other JJ 39713 4720 28 facts fact NNS 39713 4720 29 ; ; : 39713 4720 30 or or CC 39713 4720 31 better well JJR 39713 4720 32 , , , 39713 4720 33 if if IN 39713 4720 34 , , , 39713 4720 35 having have VBG 39713 4720 36 been be VBN 39713 4720 37 predicted predict VBN 39713 4720 38 , , , 39713 4720 39 its -PRON- PRP$ 39713 4720 40 verification verification NN 39713 4720 41 is be VBZ 39713 4720 42 the the DT 39713 4720 43 confirmation confirmation NN 39713 4720 44 of of IN 39713 4720 45 a a DT 39713 4720 46 law law NN 39713 4720 47 . . . 39713 4721 1 Who who WP 39713 4721 2 shall shall MD 39713 4721 3 choose choose VB 39713 4721 4 the the DT 39713 4721 5 facts fact NNS 39713 4721 6 which which WDT 39713 4721 7 , , , 39713 4721 8 corresponding correspond VBG 39713 4721 9 to to IN 39713 4721 10 these these DT 39713 4721 11 conditions condition NNS 39713 4721 12 , , , 39713 4721 13 are be VBP 39713 4721 14 worthy worthy JJ 39713 4721 15 the the DT 39713 4721 16 freedom freedom NN 39713 4721 17 of of IN 39713 4721 18 the the DT 39713 4721 19 city city NN 39713 4721 20 in in IN 39713 4721 21 science science NN 39713 4721 22 ? ? . 39713 4722 1 This this DT 39713 4722 2 is be VBZ 39713 4722 3 the the DT 39713 4722 4 free free JJ 39713 4722 5 activity activity NN 39713 4722 6 of of IN 39713 4722 7 the the DT 39713 4722 8 scientist scientist NN 39713 4722 9 . . . 39713 4723 1 And and CC 39713 4723 2 that that DT 39713 4723 3 is be VBZ 39713 4723 4 not not RB 39713 4723 5 all all DT 39713 4723 6 . . . 39713 4724 1 I -PRON- PRP 39713 4724 2 have have VBP 39713 4724 3 said say VBN 39713 4724 4 that that IN 39713 4724 5 the the DT 39713 4724 6 scientific scientific JJ 39713 4724 7 fact fact NN 39713 4724 8 is be VBZ 39713 4724 9 the the DT 39713 4724 10 translation translation NN 39713 4724 11 of of IN 39713 4724 12 a a DT 39713 4724 13 crude crude JJ 39713 4724 14 fact fact NN 39713 4724 15 into into IN 39713 4724 16 a a DT 39713 4724 17 certain certain JJ 39713 4724 18 language language NN 39713 4724 19 ; ; : 39713 4724 20 I -PRON- PRP 39713 4724 21 should should MD 39713 4724 22 add add VB 39713 4724 23 that that IN 39713 4724 24 every every DT 39713 4724 25 scientific scientific JJ 39713 4724 26 fact fact NN 39713 4724 27 is be VBZ 39713 4724 28 formed form VBN 39713 4724 29 of of IN 39713 4724 30 many many JJ 39713 4724 31 crude crude JJ 39713 4724 32 facts fact NNS 39713 4724 33 . . . 39713 4725 1 This this DT 39713 4725 2 is be VBZ 39713 4725 3 sufficiently sufficiently RB 39713 4725 4 shown show VBN 39713 4725 5 by by IN 39713 4725 6 the the DT 39713 4725 7 examples example NNS 39713 4725 8 cited cite VBN 39713 4725 9 above above RB 39713 4725 10 . . . 39713 4726 1 For for IN 39713 4726 2 instance instance NN 39713 4726 3 , , , 39713 4726 4 for for IN 39713 4726 5 the the DT 39713 4726 6 hour hour NN 39713 4726 7 of of IN 39713 4726 8 the the DT 39713 4726 9 eclipse eclipse NN 39713 4726 10 my -PRON- PRP$ 39713 4726 11 clock clock NN 39713 4726 12 marked mark VBD 39713 4726 13 the the DT 39713 4726 14 hour hour NN 39713 4726 15 [ [ -LRB- 39713 4726 16 alpha alpha NN 39713 4726 17 ] ] -RRB- 39713 4726 18 at at IN 39713 4726 19 the the DT 39713 4726 20 instant instant NN 39713 4726 21 of of IN 39713 4726 22 the the DT 39713 4726 23 eclipse eclipse NN 39713 4726 24 ; ; : 39713 4726 25 it -PRON- PRP 39713 4726 26 marked mark VBD 39713 4726 27 the the DT 39713 4726 28 hour hour NN 39713 4726 29 [ [ -LRB- 39713 4726 30 beta beta NN 39713 4726 31 ] ] -RRB- 39713 4726 32 at at IN 39713 4726 33 the the DT 39713 4726 34 moment moment NN 39713 4726 35 of of IN 39713 4726 36 the the DT 39713 4726 37 last last JJ 39713 4726 38 transit transit NN 39713 4726 39 of of IN 39713 4726 40 the the DT 39713 4726 41 meridian meridian NN 39713 4726 42 of of IN 39713 4726 43 a a DT 39713 4726 44 certain certain JJ 39713 4726 45 star star NN 39713 4726 46 that that WDT 39713 4726 47 we -PRON- PRP 39713 4726 48 take take VBP 39713 4726 49 as as IN 39713 4726 50 origin origin NN 39713 4726 51 of of IN 39713 4726 52 right right JJ 39713 4726 53 ascensions ascension NNS 39713 4726 54 ; ; : 39713 4726 55 it -PRON- PRP 39713 4726 56 marked mark VBD 39713 4726 57 the the DT 39713 4726 58 hour hour NN 39713 4726 59 [ [ -LRB- 39713 4726 60 gamma gamma NN 39713 4726 61 ] ] -RRB- 39713 4726 62 at at IN 39713 4726 63 the the DT 39713 4726 64 moment moment NN 39713 4726 65 of of IN 39713 4726 66 the the DT 39713 4726 67 preceding precede VBG 39713 4726 68 transit transit NN 39713 4726 69 of of IN 39713 4726 70 this this DT 39713 4726 71 same same JJ 39713 4726 72 star star NN 39713 4726 73 . . . 39713 4727 1 There there EX 39713 4727 2 are be VBP 39713 4727 3 three three CD 39713 4727 4 distinct distinct JJ 39713 4727 5 facts fact NNS 39713 4727 6 ( ( -LRB- 39713 4727 7 still still RB 39713 4727 8 it -PRON- PRP 39713 4727 9 will will MD 39713 4727 10 be be VB 39713 4727 11 noticed notice VBN 39713 4727 12 that that IN 39713 4727 13 each each DT 39713 4727 14 of of IN 39713 4727 15 them -PRON- PRP 39713 4727 16 results result VBZ 39713 4727 17 itself -PRON- PRP 39713 4727 18 from from IN 39713 4727 19 two two CD 39713 4727 20 simultaneous simultaneous JJ 39713 4727 21 facts fact NNS 39713 4727 22 in in IN 39713 4727 23 the the DT 39713 4727 24 rough rough JJ 39713 4727 25 ; ; : 39713 4727 26 but but CC 39713 4727 27 let let VB 39713 4727 28 us -PRON- PRP 39713 4727 29 pass pass VB 39713 4727 30 this this DT 39713 4727 31 over over RP 39713 4727 32 ) ) -RRB- 39713 4727 33 . . . 39713 4728 1 In in IN 39713 4728 2 place place NN 39713 4728 3 of of IN 39713 4728 4 that that DT 39713 4728 5 I -PRON- PRP 39713 4728 6 say say VBP 39713 4728 7 : : : 39713 4728 8 The the DT 39713 4728 9 eclipse eclipse NN 39713 4728 10 happened happen VBD 39713 4728 11 at at IN 39713 4728 12 the the DT 39713 4728 13 hour hour NN 39713 4728 14 24 24 CD 39713 4728 15 ( ( -LRB- 39713 4728 16 [ [ -LRB- 39713 4728 17 alpha]-[beta])/([beta]-[gamma alpha]-[beta])/([beta]-[gamma NN 39713 4728 18 ] ] -RRB- 39713 4728 19 ) ) -RRB- 39713 4728 20 , , , 39713 4728 21 and and CC 39713 4728 22 the the DT 39713 4728 23 three three CD 39713 4728 24 facts fact NNS 39713 4728 25 are be VBP 39713 4728 26 combined combine VBN 39713 4728 27 in in IN 39713 4728 28 a a DT 39713 4728 29 single single JJ 39713 4728 30 scientific scientific JJ 39713 4728 31 fact fact NN 39713 4728 32 . . . 39713 4729 1 I -PRON- PRP 39713 4729 2 have have VBP 39713 4729 3 concluded conclude VBN 39713 4729 4 that that IN 39713 4729 5 the the DT 39713 4729 6 three three CD 39713 4729 7 readings reading NNS 39713 4729 8 , , , 39713 4729 9 [ [ -LRB- 39713 4729 10 alpha alpha NN 39713 4729 11 ] ] -RRB- 39713 4729 12 , , , 39713 4729 13 [ [ -LRB- 39713 4729 14 beta beta NN 39713 4729 15 ] ] -RRB- 39713 4729 16 , , , 39713 4729 17 [ [ -LRB- 39713 4729 18 gamma gamma NN 39713 4729 19 ] ] -RRB- 39713 4729 20 made make VBN 39713 4729 21 on on IN 39713 4729 22 my -PRON- PRP$ 39713 4729 23 clock clock NN 39713 4729 24 at at IN 39713 4729 25 three three CD 39713 4729 26 different different JJ 39713 4729 27 moments moment NNS 39713 4729 28 lacked lack VBD 39713 4729 29 interest interest NN 39713 4729 30 and and CC 39713 4729 31 that that IN 39713 4729 32 the the DT 39713 4729 33 only only JJ 39713 4729 34 thing thing NN 39713 4729 35 interesting interesting JJ 39713 4729 36 was be VBD 39713 4729 37 the the DT 39713 4729 38 combination combination NN 39713 4729 39 ( ( -LRB- 39713 4729 40 [ [ -LRB- 39713 4729 41 alpha]-[beta])/([beta]-[gamma alpha]-[beta])/([beta]-[gamma NN 39713 4729 42 ] ] -RRB- 39713 4729 43 ) ) -RRB- 39713 4729 44 of of IN 39713 4729 45 the the DT 39713 4729 46 three three CD 39713 4729 47 . . . 39713 4730 1 In in IN 39713 4730 2 this this DT 39713 4730 3 conclusion conclusion NN 39713 4730 4 is be VBZ 39713 4730 5 found find VBN 39713 4730 6 the the DT 39713 4730 7 free free JJ 39713 4730 8 activity activity NN 39713 4730 9 of of IN 39713 4730 10 my -PRON- PRP$ 39713 4730 11 mind mind NN 39713 4730 12 . . . 39713 4731 1 But but CC 39713 4731 2 I -PRON- PRP 39713 4731 3 have have VBP 39713 4731 4 thus thus RB 39713 4731 5 used use VBN 39713 4731 6 up up RP 39713 4731 7 my -PRON- PRP$ 39713 4731 8 power power NN 39713 4731 9 ; ; : 39713 4731 10 I -PRON- PRP 39713 4731 11 can can MD 39713 4731 12 not not RB 39713 4731 13 make make VB 39713 4731 14 this this DT 39713 4731 15 combination combination NN 39713 4731 16 ( ( -LRB- 39713 4731 17 [ [ -LRB- 39713 4731 18 alpha]-[beta])/([beta]-[gamma alpha]-[beta])/([beta]-[gamma NN 39713 4731 19 ] ] -RRB- 39713 4731 20 ) ) -RRB- 39713 4731 21 have have VBP 39713 4731 22 such such PDT 39713 4731 23 a a DT 39713 4731 24 value value NN 39713 4731 25 and and CC 39713 4731 26 not not RB 39713 4731 27 such such PDT 39713 4731 28 another another DT 39713 4731 29 , , , 39713 4731 30 since since IN 39713 4731 31 I -PRON- PRP 39713 4731 32 can can MD 39713 4731 33 not not RB 39713 4731 34 influence influence VB 39713 4731 35 either either CC 39713 4731 36 the the DT 39713 4731 37 value value NN 39713 4731 38 of of IN 39713 4731 39 [ [ -LRB- 39713 4731 40 alpha alpha NN 39713 4731 41 ] ] -RRB- 39713 4731 42 , , , 39713 4731 43 or or CC 39713 4731 44 that that DT 39713 4731 45 of of IN 39713 4731 46 [ [ -LRB- 39713 4731 47 beta beta NN 39713 4731 48 ] ] -RRB- 39713 4731 49 , , , 39713 4731 50 or or CC 39713 4731 51 that that DT 39713 4731 52 of of IN 39713 4731 53 [ [ -LRB- 39713 4731 54 gamma gamma NN 39713 4731 55 ] ] -RRB- 39713 4731 56 , , , 39713 4731 57 which which WDT 39713 4731 58 are be VBP 39713 4731 59 imposed impose VBN 39713 4731 60 upon upon IN 39713 4731 61 me -PRON- PRP 39713 4731 62 as as IN 39713 4731 63 crude crude JJ 39713 4731 64 facts fact NNS 39713 4731 65 . . . 39713 4732 1 In in IN 39713 4732 2 sum sum NN 39713 4732 3 , , , 39713 4732 4 facts fact NNS 39713 4732 5 are be VBP 39713 4732 6 facts fact NNS 39713 4732 7 , , , 39713 4732 8 and and CC 39713 4732 9 _ _ NNP 39713 4732 10 if if IN 39713 4732 11 it -PRON- PRP 39713 4732 12 happens happen VBZ 39713 4732 13 that that IN 39713 4732 14 they -PRON- PRP 39713 4732 15 satisfy satisfy VBP 39713 4732 16 a a DT 39713 4732 17 prediction prediction NN 39713 4732 18 , , , 39713 4732 19 this this DT 39713 4732 20 is be VBZ 39713 4732 21 not not RB 39713 4732 22 an an DT 39713 4732 23 effect effect NN 39713 4732 24 of of IN 39713 4732 25 our -PRON- PRP$ 39713 4732 26 free free JJ 39713 4732 27 activity activity NN 39713 4732 28 _ _ NNP 39713 4732 29 . . . 39713 4733 1 There there EX 39713 4733 2 is be VBZ 39713 4733 3 no no DT 39713 4733 4 precise precise JJ 39713 4733 5 frontier frontier NN 39713 4733 6 between between IN 39713 4733 7 the the DT 39713 4733 8 fact fact NN 39713 4733 9 in in IN 39713 4733 10 the the DT 39713 4733 11 rough rough JJ 39713 4733 12 and and CC 39713 4733 13 the the DT 39713 4733 14 scientific scientific JJ 39713 4733 15 fact fact NN 39713 4733 16 ; ; : 39713 4733 17 it -PRON- PRP 39713 4733 18 can can MD 39713 4733 19 only only RB 39713 4733 20 be be VB 39713 4733 21 said say VBN 39713 4733 22 that that IN 39713 4733 23 such such PDT 39713 4733 24 an an DT 39713 4733 25 enunciation enunciation NN 39713 4733 26 of of IN 39713 4733 27 fact fact NN 39713 4733 28 is be VBZ 39713 4733 29 _ _ NNP 39713 4733 30 more more JJR 39713 4733 31 crude crude JJ 39713 4733 32 _ _ NNP 39713 4733 33 or or CC 39713 4733 34 , , , 39713 4733 35 on on IN 39713 4733 36 the the DT 39713 4733 37 contrary contrary NN 39713 4733 38 , , , 39713 4733 39 _ _ NNP 39713 4733 40 more more RBR 39713 4733 41 scientific scientific JJ 39713 4733 42 _ _ NNP 39713 4733 43 than than IN 39713 4733 44 such such PDT 39713 4733 45 another another DT 39713 4733 46 . . . 39713 4734 1 4 4 LS 39713 4734 2 . . . 39713 4735 1 _ _ NNP 39713 4735 2 ' ' `` 39713 4735 3 Nominalism Nominalism NNP 39713 4735 4 ' ' '' 39713 4735 5 and and CC 39713 4735 6 ' ' '' 39713 4735 7 the the DT 39713 4735 8 Universal Universal NNP 39713 4735 9 Invariant Invariant NNP 39713 4735 10 ' ' POS 39713 4735 11 _ _ XX 39713 4735 12 If if IN 39713 4735 13 from from IN 39713 4735 14 facts fact NNS 39713 4735 15 we -PRON- PRP 39713 4735 16 pass pass VBP 39713 4735 17 to to IN 39713 4735 18 laws law NNS 39713 4735 19 , , , 39713 4735 20 it -PRON- PRP 39713 4735 21 is be VBZ 39713 4735 22 clear clear JJ 39713 4735 23 that that IN 39713 4735 24 the the DT 39713 4735 25 part part NN 39713 4735 26 of of IN 39713 4735 27 the the DT 39713 4735 28 free free JJ 39713 4735 29 activity activity NN 39713 4735 30 of of IN 39713 4735 31 the the DT 39713 4735 32 scientist scientist NN 39713 4735 33 will will MD 39713 4735 34 become become VB 39713 4735 35 much much RB 39713 4735 36 greater great JJR 39713 4735 37 . . . 39713 4736 1 But but CC 39713 4736 2 did do VBD 39713 4736 3 not not RB 39713 4736 4 M. M. NNP 39713 4736 5 LeRoy LeRoy NNP 39713 4736 6 make make VB 39713 4736 7 it -PRON- PRP 39713 4736 8 still still RB 39713 4736 9 too too RB 39713 4736 10 great great JJ 39713 4736 11 ? ? . 39713 4737 1 This this DT 39713 4737 2 is be VBZ 39713 4737 3 what what WP 39713 4737 4 we -PRON- PRP 39713 4737 5 are be VBP 39713 4737 6 about about JJ 39713 4737 7 to to TO 39713 4737 8 examine examine VB 39713 4737 9 . . . 39713 4738 1 Recall recall VB 39713 4738 2 first first RB 39713 4738 3 the the DT 39713 4738 4 examples example NNS 39713 4738 5 he -PRON- PRP 39713 4738 6 has have VBZ 39713 4738 7 given give VBN 39713 4738 8 . . . 39713 4739 1 When when WRB 39713 4739 2 I -PRON- PRP 39713 4739 3 say say VBP 39713 4739 4 : : : 39713 4739 5 Phosphorus phosphorus JJ 39713 4739 6 melts melt NNS 39713 4739 7 at at IN 39713 4739 8 44 44 CD 39713 4739 9 ° ° NNS 39713 4739 10 , , , 39713 4739 11 I -PRON- PRP 39713 4739 12 think think VBP 39713 4739 13 I -PRON- PRP 39713 4739 14 am be VBP 39713 4739 15 enunciating enunciate VBG 39713 4739 16 a a DT 39713 4739 17 law law NN 39713 4739 18 ; ; : 39713 4739 19 in in IN 39713 4739 20 reality reality NN 39713 4739 21 it -PRON- PRP 39713 4739 22 is be VBZ 39713 4739 23 just just RB 39713 4739 24 the the DT 39713 4739 25 definition definition NN 39713 4739 26 of of IN 39713 4739 27 phosphorus phosphorus NN 39713 4739 28 ; ; : 39713 4739 29 if if IN 39713 4739 30 one one PRP 39713 4739 31 should should MD 39713 4739 32 discover discover VB 39713 4739 33 a a DT 39713 4739 34 body body NN 39713 4739 35 which which WDT 39713 4739 36 , , , 39713 4739 37 possessing possess VBG 39713 4739 38 otherwise otherwise RB 39713 4739 39 all all PDT 39713 4739 40 the the DT 39713 4739 41 properties property NNS 39713 4739 42 of of IN 39713 4739 43 phosphorus phosphorus NN 39713 4739 44 , , , 39713 4739 45 did do VBD 39713 4739 46 not not RB 39713 4739 47 melt melt VB 39713 4739 48 at at IN 39713 4739 49 44 44 CD 39713 4739 50 ° ° NNS 39713 4739 51 , , , 39713 4739 52 we -PRON- PRP 39713 4739 53 should should MD 39713 4739 54 give give VB 39713 4739 55 it -PRON- PRP 39713 4739 56 another another DT 39713 4739 57 name name NN 39713 4739 58 , , , 39713 4739 59 that that DT 39713 4739 60 is be VBZ 39713 4739 61 all all DT 39713 4739 62 , , , 39713 4739 63 and and CC 39713 4739 64 the the DT 39713 4739 65 law law NN 39713 4739 66 would would MD 39713 4739 67 remain remain VB 39713 4739 68 true true JJ 39713 4739 69 . . . 39713 4740 1 Just just RB 39713 4740 2 so so RB 39713 4740 3 when when WRB 39713 4740 4 I -PRON- PRP 39713 4740 5 say say VBP 39713 4740 6 : : : 39713 4740 7 Heavy heavy JJ 39713 4740 8 bodies body NNS 39713 4740 9 falling fall VBG 39713 4740 10 freely freely RB 39713 4740 11 pass pass NN 39713 4740 12 over over RP 39713 4740 13 spaces space NNS 39713 4740 14 proportional proportional JJ 39713 4740 15 to to IN 39713 4740 16 the the DT 39713 4740 17 squares square NNS 39713 4740 18 of of IN 39713 4740 19 the the DT 39713 4740 20 times time NNS 39713 4740 21 , , , 39713 4740 22 I -PRON- PRP 39713 4740 23 only only RB 39713 4740 24 give give VBP 39713 4740 25 the the DT 39713 4740 26 definition definition NN 39713 4740 27 of of IN 39713 4740 28 free free JJ 39713 4740 29 fall fall NN 39713 4740 30 . . . 39713 4741 1 Whenever whenever WRB 39713 4741 2 the the DT 39713 4741 3 condition condition NN 39713 4741 4 shall shall MD 39713 4741 5 not not RB 39713 4741 6 be be VB 39713 4741 7 fulfilled fulfil VBN 39713 4741 8 , , , 39713 4741 9 I -PRON- PRP 39713 4741 10 shall shall MD 39713 4741 11 say say VB 39713 4741 12 that that IN 39713 4741 13 the the DT 39713 4741 14 fall fall NN 39713 4741 15 is be VBZ 39713 4741 16 not not RB 39713 4741 17 free free JJ 39713 4741 18 , , , 39713 4741 19 so so IN 39713 4741 20 that that IN 39713 4741 21 the the DT 39713 4741 22 law law NN 39713 4741 23 will will MD 39713 4741 24 never never RB 39713 4741 25 be be VB 39713 4741 26 wrong wrong JJ 39713 4741 27 . . . 39713 4742 1 It -PRON- PRP 39713 4742 2 is be VBZ 39713 4742 3 clear clear JJ 39713 4742 4 that that IN 39713 4742 5 if if IN 39713 4742 6 laws law NNS 39713 4742 7 were be VBD 39713 4742 8 reduced reduce VBN 39713 4742 9 to to IN 39713 4742 10 that that DT 39713 4742 11 , , , 39713 4742 12 they -PRON- PRP 39713 4742 13 could could MD 39713 4742 14 not not RB 39713 4742 15 serve serve VB 39713 4742 16 in in IN 39713 4742 17 prediction prediction NN 39713 4742 18 ; ; : 39713 4742 19 then then RB 39713 4742 20 they -PRON- PRP 39713 4742 21 would would MD 39713 4742 22 be be VB 39713 4742 23 good good JJ 39713 4742 24 for for IN 39713 4742 25 nothing nothing NN 39713 4742 26 , , , 39713 4742 27 either either CC 39713 4742 28 as as IN 39713 4742 29 means mean NNS 39713 4742 30 of of IN 39713 4742 31 knowledge knowledge NN 39713 4742 32 or or CC 39713 4742 33 as as IN 39713 4742 34 principle principle NN 39713 4742 35 of of IN 39713 4742 36 action action NN 39713 4742 37 . . . 39713 4743 1 When when WRB 39713 4743 2 I -PRON- PRP 39713 4743 3 say say VBP 39713 4743 4 : : : 39713 4743 5 Phosphorus phosphorus JJ 39713 4743 6 melts melt NNS 39713 4743 7 at at IN 39713 4743 8 44 44 CD 39713 4743 9 ° ° NNS 39713 4743 10 , , , 39713 4743 11 I -PRON- PRP 39713 4743 12 mean mean VBP 39713 4743 13 by by IN 39713 4743 14 that that DT 39713 4743 15 : : : 39713 4743 16 All all DT 39713 4743 17 bodies body NNS 39713 4743 18 possessing possess VBG 39713 4743 19 such such JJ 39713 4743 20 or or CC 39713 4743 21 such such PDT 39713 4743 22 a a DT 39713 4743 23 property property NN 39713 4743 24 ( ( -LRB- 39713 4743 25 to to IN 39713 4743 26 wit wit NN 39713 4743 27 , , , 39713 4743 28 all all PDT 39713 4743 29 the the DT 39713 4743 30 properties property NNS 39713 4743 31 of of IN 39713 4743 32 phosphorus phosphorus NN 39713 4743 33 , , , 39713 4743 34 save save VB 39713 4743 35 fusing fuse VBG 39713 4743 36 - - HYPH 39713 4743 37 point point NN 39713 4743 38 ) ) -RRB- 39713 4743 39 fuse fuse NN 39713 4743 40 at at IN 39713 4743 41 44 44 CD 39713 4743 42 ° ° NNS 39713 4743 43 . . . 39713 4744 1 So so RB 39713 4744 2 understood understand VBN 39713 4744 3 , , , 39713 4744 4 my -PRON- PRP$ 39713 4744 5 proposition proposition NN 39713 4744 6 is be VBZ 39713 4744 7 indeed indeed RB 39713 4744 8 a a DT 39713 4744 9 law law NN 39713 4744 10 , , , 39713 4744 11 and and CC 39713 4744 12 this this DT 39713 4744 13 law law NN 39713 4744 14 may may MD 39713 4744 15 be be VB 39713 4744 16 useful useful JJ 39713 4744 17 to to IN 39713 4744 18 me -PRON- PRP 39713 4744 19 , , , 39713 4744 20 because because IN 39713 4744 21 if if IN 39713 4744 22 I -PRON- PRP 39713 4744 23 meet meet VBP 39713 4744 24 a a DT 39713 4744 25 body body NN 39713 4744 26 possessing possess VBG 39713 4744 27 these these DT 39713 4744 28 properties property NNS 39713 4744 29 I -PRON- PRP 39713 4744 30 shall shall MD 39713 4744 31 be be VB 39713 4744 32 able able JJ 39713 4744 33 to to TO 39713 4744 34 predict predict VB 39713 4744 35 that that IN 39713 4744 36 it -PRON- PRP 39713 4744 37 will will MD 39713 4744 38 fuse fuse VB 39713 4744 39 at at IN 39713 4744 40 44 44 CD 39713 4744 41 ° ° NNS 39713 4744 42 . . . 39713 4745 1 Doubtless doubtless RB 39713 4745 2 the the DT 39713 4745 3 law law NN 39713 4745 4 may may MD 39713 4745 5 be be VB 39713 4745 6 found find VBN 39713 4745 7 to to TO 39713 4745 8 be be VB 39713 4745 9 false false JJ 39713 4745 10 . . . 39713 4746 1 Then then RB 39713 4746 2 we -PRON- PRP 39713 4746 3 shall shall MD 39713 4746 4 read read VB 39713 4746 5 in in IN 39713 4746 6 the the DT 39713 4746 7 treatises treatise NNS 39713 4746 8 on on IN 39713 4746 9 chemistry chemistry NN 39713 4746 10 : : : 39713 4746 11 " " `` 39713 4746 12 There there EX 39713 4746 13 are be VBP 39713 4746 14 two two CD 39713 4746 15 bodies body NNS 39713 4746 16 which which WDT 39713 4746 17 chemists chemist NNS 39713 4746 18 long long RB 39713 4746 19 confounded confound VBD 39713 4746 20 under under IN 39713 4746 21 the the DT 39713 4746 22 name name NN 39713 4746 23 of of IN 39713 4746 24 phosphorus phosphorus NN 39713 4746 25 ; ; : 39713 4746 26 these these DT 39713 4746 27 two two CD 39713 4746 28 bodies body NNS 39713 4746 29 differ differ VBP 39713 4746 30 only only RB 39713 4746 31 by by IN 39713 4746 32 their -PRON- PRP$ 39713 4746 33 points point NNS 39713 4746 34 of of IN 39713 4746 35 fusion fusion NN 39713 4746 36 . . . 39713 4746 37 " " '' 39713 4747 1 That that DT 39713 4747 2 would would MD 39713 4747 3 evidently evidently RB 39713 4747 4 not not RB 39713 4747 5 be be VB 39713 4747 6 the the DT 39713 4747 7 first first JJ 39713 4747 8 time time NN 39713 4747 9 for for IN 39713 4747 10 chemists chemist NNS 39713 4747 11 to to TO 39713 4747 12 attain attain VB 39713 4747 13 to to IN 39713 4747 14 the the DT 39713 4747 15 separation separation NN 39713 4747 16 of of IN 39713 4747 17 two two CD 39713 4747 18 bodies body NNS 39713 4747 19 they -PRON- PRP 39713 4747 20 were be VBD 39713 4747 21 at at IN 39713 4747 22 first first RB 39713 4747 23 not not RB 39713 4747 24 able able JJ 39713 4747 25 to to TO 39713 4747 26 distinguish distinguish VB 39713 4747 27 ; ; : 39713 4747 28 such such JJ 39713 4747 29 , , , 39713 4747 30 for for IN 39713 4747 31 example example NN 39713 4747 32 , , , 39713 4747 33 are be VBP 39713 4747 34 neodymium neodymium NN 39713 4747 35 and and CC 39713 4747 36 praseodymium praseodymium NN 39713 4747 37 , , , 39713 4747 38 long long RB 39713 4747 39 confounded confound VBD 39713 4747 40 under under IN 39713 4747 41 the the DT 39713 4747 42 name name NN 39713 4747 43 of of IN 39713 4747 44 didymium didymium NN 39713 4747 45 . . . 39713 4748 1 I -PRON- PRP 39713 4748 2 do do VBP 39713 4748 3 not not RB 39713 4748 4 think think VB 39713 4748 5 the the DT 39713 4748 6 chemists chemist NNS 39713 4748 7 much much JJ 39713 4748 8 fear fear VBP 39713 4748 9 that that IN 39713 4748 10 a a DT 39713 4748 11 like like JJ 39713 4748 12 mischance mischance NN 39713 4748 13 will will MD 39713 4748 14 ever ever RB 39713 4748 15 happen happen VB 39713 4748 16 to to IN 39713 4748 17 phosphorus phosphorus NN 39713 4748 18 . . . 39713 4749 1 And and CC 39713 4749 2 if if IN 39713 4749 3 , , , 39713 4749 4 to to TO 39713 4749 5 suppose suppose VB 39713 4749 6 the the DT 39713 4749 7 impossible impossible JJ 39713 4749 8 , , , 39713 4749 9 it -PRON- PRP 39713 4749 10 should should MD 39713 4749 11 happen happen VB 39713 4749 12 , , , 39713 4749 13 the the DT 39713 4749 14 two two CD 39713 4749 15 bodies body NNS 39713 4749 16 would would MD 39713 4749 17 probably probably RB 39713 4749 18 not not RB 39713 4749 19 have have VB 39713 4749 20 _ _ NNP 39713 4749 21 identically identically RB 39713 4749 22 _ _ NNP 39713 4749 23 the the DT 39713 4749 24 same same JJ 39713 4749 25 density density NN 39713 4749 26 , , , 39713 4749 27 _ _ NNP 39713 4749 28 identically identically RB 39713 4749 29 _ _ NNP 39713 4749 30 the the DT 39713 4749 31 same same JJ 39713 4749 32 specific specific JJ 39713 4749 33 heat heat NN 39713 4749 34 , , , 39713 4749 35 etc etc FW 39713 4749 36 . . FW 39713 4749 37 , , , 39713 4749 38 so so IN 39713 4749 39 that that IN 39713 4749 40 after after IN 39713 4749 41 having have VBG 39713 4749 42 determined determine VBN 39713 4749 43 with with IN 39713 4749 44 care care NN 39713 4749 45 the the DT 39713 4749 46 density density NN 39713 4749 47 , , , 39713 4749 48 for for IN 39713 4749 49 instance instance NN 39713 4749 50 , , , 39713 4749 51 one one PRP 39713 4749 52 could could MD 39713 4749 53 still still RB 39713 4749 54 foresee foresee VB 39713 4749 55 the the DT 39713 4749 56 fusion fusion NN 39713 4749 57 point point NN 39713 4749 58 . . . 39713 4750 1 It -PRON- PRP 39713 4750 2 is be VBZ 39713 4750 3 , , , 39713 4750 4 moreover moreover RB 39713 4750 5 , , , 39713 4750 6 unimportant unimportant JJ 39713 4750 7 ; ; : 39713 4750 8 it -PRON- PRP 39713 4750 9 suffices suffice VBZ 39713 4750 10 to to TO 39713 4750 11 remark remark VB 39713 4750 12 that that IN 39713 4750 13 there there EX 39713 4750 14 is be VBZ 39713 4750 15 a a DT 39713 4750 16 law law NN 39713 4750 17 , , , 39713 4750 18 and and CC 39713 4750 19 that that IN 39713 4750 20 this this DT 39713 4750 21 law law NN 39713 4750 22 , , , 39713 4750 23 true true JJ 39713 4750 24 or or CC 39713 4750 25 false false JJ 39713 4750 26 , , , 39713 4750 27 does do VBZ 39713 4750 28 not not RB 39713 4750 29 reduce reduce VB 39713 4750 30 to to IN 39713 4750 31 a a DT 39713 4750 32 tautology tautology NN 39713 4750 33 . . . 39713 4751 1 Will Will MD 39713 4751 2 it -PRON- PRP 39713 4751 3 be be VB 39713 4751 4 said say VBN 39713 4751 5 that that IN 39713 4751 6 if if IN 39713 4751 7 we -PRON- PRP 39713 4751 8 do do VBP 39713 4751 9 not not RB 39713 4751 10 know know VB 39713 4751 11 on on IN 39713 4751 12 the the DT 39713 4751 13 earth earth NN 39713 4751 14 a a DT 39713 4751 15 body body NN 39713 4751 16 which which WDT 39713 4751 17 does do VBZ 39713 4751 18 not not RB 39713 4751 19 fuse fuse VB 39713 4751 20 at at IN 39713 4751 21 44 44 CD 39713 4751 22 ° ° NNS 39713 4751 23 while while IN 39713 4751 24 having have VBG 39713 4751 25 all all PDT 39713 4751 26 the the DT 39713 4751 27 other other JJ 39713 4751 28 properties property NNS 39713 4751 29 of of IN 39713 4751 30 phosphorus phosphorus NN 39713 4751 31 , , , 39713 4751 32 we -PRON- PRP 39713 4751 33 can can MD 39713 4751 34 not not RB 39713 4751 35 know know VB 39713 4751 36 whether whether IN 39713 4751 37 it -PRON- PRP 39713 4751 38 does do VBZ 39713 4751 39 not not RB 39713 4751 40 exist exist VB 39713 4751 41 on on IN 39713 4751 42 other other JJ 39713 4751 43 planets planet NNS 39713 4751 44 ? ? . 39713 4752 1 Doubtless doubtless RB 39713 4752 2 that that DT 39713 4752 3 may may MD 39713 4752 4 be be VB 39713 4752 5 maintained maintain VBN 39713 4752 6 , , , 39713 4752 7 and and CC 39713 4752 8 it -PRON- PRP 39713 4752 9 would would MD 39713 4752 10 then then RB 39713 4752 11 be be VB 39713 4752 12 inferred infer VBN 39713 4752 13 that that IN 39713 4752 14 the the DT 39713 4752 15 law law NN 39713 4752 16 in in IN 39713 4752 17 question question NN 39713 4752 18 , , , 39713 4752 19 which which WDT 39713 4752 20 may may MD 39713 4752 21 serve serve VB 39713 4752 22 as as IN 39713 4752 23 a a DT 39713 4752 24 rule rule NN 39713 4752 25 of of IN 39713 4752 26 action action NN 39713 4752 27 to to IN 39713 4752 28 us -PRON- PRP 39713 4752 29 who who WP 39713 4752 30 inhabit inhabit VBP 39713 4752 31 the the DT 39713 4752 32 earth earth NN 39713 4752 33 , , , 39713 4752 34 has have VBZ 39713 4752 35 yet yet RB 39713 4752 36 no no DT 39713 4752 37 general general JJ 39713 4752 38 value value NN 39713 4752 39 from from IN 39713 4752 40 the the DT 39713 4752 41 point point NN 39713 4752 42 of of IN 39713 4752 43 view view NN 39713 4752 44 of of IN 39713 4752 45 knowledge knowledge NN 39713 4752 46 , , , 39713 4752 47 and and CC 39713 4752 48 owes owe VBZ 39713 4752 49 its -PRON- PRP$ 39713 4752 50 interest interest NN 39713 4752 51 only only RB 39713 4752 52 to to IN 39713 4752 53 the the DT 39713 4752 54 chance chance NN 39713 4752 55 which which WDT 39713 4752 56 has have VBZ 39713 4752 57 placed place VBN 39713 4752 58 us -PRON- PRP 39713 4752 59 on on IN 39713 4752 60 this this DT 39713 4752 61 globe globe NN 39713 4752 62 . . . 39713 4753 1 This this DT 39713 4753 2 is be VBZ 39713 4753 3 possible possible JJ 39713 4753 4 , , , 39713 4753 5 but but CC 39713 4753 6 , , , 39713 4753 7 if if IN 39713 4753 8 it -PRON- PRP 39713 4753 9 were be VBD 39713 4753 10 so so RB 39713 4753 11 , , , 39713 4753 12 the the DT 39713 4753 13 law law NN 39713 4753 14 would would MD 39713 4753 15 be be VB 39713 4753 16 valueless valueless JJ 39713 4753 17 , , , 39713 4753 18 not not RB 39713 4753 19 because because IN 39713 4753 20 it -PRON- PRP 39713 4753 21 reduced reduce VBD 39713 4753 22 to to IN 39713 4753 23 a a DT 39713 4753 24 convention convention NN 39713 4753 25 , , , 39713 4753 26 but but CC 39713 4753 27 because because IN 39713 4753 28 it -PRON- PRP 39713 4753 29 would would MD 39713 4753 30 be be VB 39713 4753 31 false false JJ 39713 4753 32 . . . 39713 4754 1 The the DT 39713 4754 2 same same JJ 39713 4754 3 is be VBZ 39713 4754 4 true true JJ 39713 4754 5 in in IN 39713 4754 6 what what WP 39713 4754 7 concerns concern VBZ 39713 4754 8 the the DT 39713 4754 9 fall fall NN 39713 4754 10 of of IN 39713 4754 11 bodies body NNS 39713 4754 12 . . . 39713 4755 1 It -PRON- PRP 39713 4755 2 would would MD 39713 4755 3 do do VB 39713 4755 4 me -PRON- PRP 39713 4755 5 no no DT 39713 4755 6 good good NN 39713 4755 7 to to TO 39713 4755 8 have have VB 39713 4755 9 given give VBN 39713 4755 10 the the DT 39713 4755 11 name name NN 39713 4755 12 of of IN 39713 4755 13 free free JJ 39713 4755 14 fall fall NN 39713 4755 15 to to IN 39713 4755 16 falls falls NNP 39713 4755 17 which which WDT 39713 4755 18 happen happen VBP 39713 4755 19 in in IN 39713 4755 20 conformity conformity NN 39713 4755 21 with with IN 39713 4755 22 Galileo Galileo NNP 39713 4755 23 's 's POS 39713 4755 24 law law NN 39713 4755 25 , , , 39713 4755 26 if if IN 39713 4755 27 I -PRON- PRP 39713 4755 28 did do VBD 39713 4755 29 not not RB 39713 4755 30 know know VB 39713 4755 31 that that IN 39713 4755 32 elsewhere elsewhere RB 39713 4755 33 , , , 39713 4755 34 in in IN 39713 4755 35 such such JJ 39713 4755 36 circumstances circumstance NNS 39713 4755 37 , , , 39713 4755 38 the the DT 39713 4755 39 fall fall NN 39713 4755 40 will will MD 39713 4755 41 be be VB 39713 4755 42 _ _ NNP 39713 4755 43 probably probably RB 39713 4755 44 _ _ NNP 39713 4755 45 free free JJ 39713 4755 46 or or CC 39713 4755 47 _ _ NNP 39713 4755 48 approximately approximately RB 39713 4755 49 _ _ NNP 39713 4755 50 free free JJ 39713 4755 51 . . . 39713 4756 1 That that IN 39713 4756 2 then then RB 39713 4756 3 is be VBZ 39713 4756 4 a a DT 39713 4756 5 law law NN 39713 4756 6 which which WDT 39713 4756 7 may may MD 39713 4756 8 be be VB 39713 4756 9 true true JJ 39713 4756 10 or or CC 39713 4756 11 false false JJ 39713 4756 12 , , , 39713 4756 13 but but CC 39713 4756 14 which which WDT 39713 4756 15 does do VBZ 39713 4756 16 not not RB 39713 4756 17 reduce reduce VB 39713 4756 18 to to IN 39713 4756 19 a a DT 39713 4756 20 convention convention NN 39713 4756 21 . . . 39713 4757 1 Suppose suppose VB 39713 4757 2 the the DT 39713 4757 3 astronomers astronomer NNS 39713 4757 4 discover discover VBP 39713 4757 5 that that IN 39713 4757 6 the the DT 39713 4757 7 stars star NNS 39713 4757 8 do do VBP 39713 4757 9 not not RB 39713 4757 10 exactly exactly RB 39713 4757 11 obey obey VB 39713 4757 12 Newton Newton NNP 39713 4757 13 's 's POS 39713 4757 14 law law NN 39713 4757 15 . . . 39713 4758 1 They -PRON- PRP 39713 4758 2 will will MD 39713 4758 3 have have VB 39713 4758 4 the the DT 39713 4758 5 choice choice NN 39713 4758 6 between between IN 39713 4758 7 two two CD 39713 4758 8 attitudes attitude NNS 39713 4758 9 ; ; : 39713 4758 10 they -PRON- PRP 39713 4758 11 may may MD 39713 4758 12 say say VB 39713 4758 13 that that IN 39713 4758 14 gravitation gravitation NN 39713 4758 15 does do VBZ 39713 4758 16 not not RB 39713 4758 17 vary vary VB 39713 4758 18 exactly exactly RB 39713 4758 19 as as IN 39713 4758 20 the the DT 39713 4758 21 inverse inverse NN 39713 4758 22 of of IN 39713 4758 23 the the DT 39713 4758 24 square square NN 39713 4758 25 of of IN 39713 4758 26 the the DT 39713 4758 27 distance distance NN 39713 4758 28 , , , 39713 4758 29 or or CC 39713 4758 30 else else RB 39713 4758 31 they -PRON- PRP 39713 4758 32 may may MD 39713 4758 33 say say VB 39713 4758 34 that that IN 39713 4758 35 gravitation gravitation NN 39713 4758 36 is be VBZ 39713 4758 37 not not RB 39713 4758 38 the the DT 39713 4758 39 only only JJ 39713 4758 40 force force NN 39713 4758 41 which which WDT 39713 4758 42 acts act VBZ 39713 4758 43 on on IN 39713 4758 44 the the DT 39713 4758 45 stars star NNS 39713 4758 46 and and CC 39713 4758 47 that that IN 39713 4758 48 there there EX 39713 4758 49 is be VBZ 39713 4758 50 in in IN 39713 4758 51 addition addition NN 39713 4758 52 a a DT 39713 4758 53 different different JJ 39713 4758 54 sort sort NN 39713 4758 55 of of IN 39713 4758 56 force force NN 39713 4758 57 . . . 39713 4759 1 In in IN 39713 4759 2 the the DT 39713 4759 3 second second JJ 39713 4759 4 case case NN 39713 4759 5 , , , 39713 4759 6 Newton Newton NNP 39713 4759 7 's 's POS 39713 4759 8 law law NN 39713 4759 9 will will MD 39713 4759 10 be be VB 39713 4759 11 considered consider VBN 39713 4759 12 as as IN 39713 4759 13 the the DT 39713 4759 14 definition definition NN 39713 4759 15 of of IN 39713 4759 16 gravitation gravitation NN 39713 4759 17 . . . 39713 4760 1 This this DT 39713 4760 2 will will MD 39713 4760 3 be be VB 39713 4760 4 the the DT 39713 4760 5 nominalist nominalist JJ 39713 4760 6 attitude attitude NN 39713 4760 7 . . . 39713 4761 1 The the DT 39713 4761 2 choice choice NN 39713 4761 3 between between IN 39713 4761 4 the the DT 39713 4761 5 two two CD 39713 4761 6 attitudes attitude NNS 39713 4761 7 is be VBZ 39713 4761 8 free free JJ 39713 4761 9 , , , 39713 4761 10 and and CC 39713 4761 11 is be VBZ 39713 4761 12 made make VBN 39713 4761 13 from from IN 39713 4761 14 considerations consideration NNS 39713 4761 15 of of IN 39713 4761 16 convenience convenience NN 39713 4761 17 , , , 39713 4761 18 though though IN 39713 4761 19 these these DT 39713 4761 20 considerations consideration NNS 39713 4761 21 are be VBP 39713 4761 22 most most RBS 39713 4761 23 often often RB 39713 4761 24 so so RB 39713 4761 25 strong strong JJ 39713 4761 26 that that IN 39713 4761 27 there there EX 39713 4761 28 remains remain VBZ 39713 4761 29 practically practically RB 39713 4761 30 little little JJ 39713 4761 31 of of IN 39713 4761 32 this this DT 39713 4761 33 freedom freedom NN 39713 4761 34 . . . 39713 4762 1 We -PRON- PRP 39713 4762 2 can can MD 39713 4762 3 break break VB 39713 4762 4 up up RP 39713 4762 5 this this DT 39713 4762 6 proposition proposition NN 39713 4762 7 : : : 39713 4762 8 ( ( -LRB- 39713 4762 9 1 1 LS 39713 4762 10 ) ) -RRB- 39713 4762 11 The the DT 39713 4762 12 stars star NNS 39713 4762 13 obey obey VBP 39713 4762 14 Newton Newton NNP 39713 4762 15 's 's POS 39713 4762 16 law law NN 39713 4762 17 , , , 39713 4762 18 into into IN 39713 4762 19 two two CD 39713 4762 20 others other NNS 39713 4762 21 ; ; : 39713 4762 22 ( ( -LRB- 39713 4762 23 2 2 LS 39713 4762 24 ) ) -RRB- 39713 4762 25 gravitation gravitation NN 39713 4762 26 obeys obey NNS 39713 4762 27 Newton Newton NNP 39713 4762 28 's 's POS 39713 4762 29 law law NN 39713 4762 30 ; ; : 39713 4762 31 ( ( -LRB- 39713 4762 32 3 3 LS 39713 4762 33 ) ) -RRB- 39713 4762 34 gravitation gravitation NN 39713 4762 35 is be VBZ 39713 4762 36 the the DT 39713 4762 37 only only JJ 39713 4762 38 force force NN 39713 4762 39 acting act VBG 39713 4762 40 on on IN 39713 4762 41 the the DT 39713 4762 42 stars star NNS 39713 4762 43 . . . 39713 4763 1 In in IN 39713 4763 2 this this DT 39713 4763 3 case case NN 39713 4763 4 proposition proposition NN 39713 4763 5 ( ( -LRB- 39713 4763 6 2 2 CD 39713 4763 7 ) ) -RRB- 39713 4763 8 is be VBZ 39713 4763 9 no no DT 39713 4763 10 longer long JJR 39713 4763 11 anything anything NN 39713 4763 12 but but IN 39713 4763 13 a a DT 39713 4763 14 definition definition NN 39713 4763 15 and and CC 39713 4763 16 is be VBZ 39713 4763 17 beyond beyond IN 39713 4763 18 the the DT 39713 4763 19 test test NN 39713 4763 20 of of IN 39713 4763 21 experiment experiment NN 39713 4763 22 ; ; : 39713 4763 23 but but CC 39713 4763 24 then then RB 39713 4763 25 it -PRON- PRP 39713 4763 26 will will MD 39713 4763 27 be be VB 39713 4763 28 on on IN 39713 4763 29 proposition proposition NN 39713 4763 30 ( ( -LRB- 39713 4763 31 3 3 LS 39713 4763 32 ) ) -RRB- 39713 4763 33 that that IN 39713 4763 34 this this DT 39713 4763 35 check check NN 39713 4763 36 can can MD 39713 4763 37 be be VB 39713 4763 38 exercised exercise VBN 39713 4763 39 . . . 39713 4764 1 This this DT 39713 4764 2 is be VBZ 39713 4764 3 indeed indeed RB 39713 4764 4 necessary necessary JJ 39713 4764 5 , , , 39713 4764 6 since since IN 39713 4764 7 the the DT 39713 4764 8 resulting result VBG 39713 4764 9 proposition proposition NN 39713 4764 10 ( ( -LRB- 39713 4764 11 1 1 LS 39713 4764 12 ) ) -RRB- 39713 4764 13 predicts predict VBZ 39713 4764 14 verifiable verifiable JJ 39713 4764 15 facts fact NNS 39713 4764 16 in in IN 39713 4764 17 the the DT 39713 4764 18 rough rough NN 39713 4764 19 . . . 39713 4765 1 It -PRON- PRP 39713 4765 2 is be VBZ 39713 4765 3 thanks thank NNS 39713 4765 4 to to IN 39713 4765 5 these these DT 39713 4765 6 artifices artifice NNS 39713 4765 7 that that IN 39713 4765 8 by by IN 39713 4765 9 an an DT 39713 4765 10 unconscious unconscious JJ 39713 4765 11 nominalism nominalism NN 39713 4765 12 the the DT 39713 4765 13 scientists scientist NNS 39713 4765 14 have have VBP 39713 4765 15 elevated elevate VBN 39713 4765 16 above above IN 39713 4765 17 the the DT 39713 4765 18 laws law NNS 39713 4765 19 what what WP 39713 4765 20 they -PRON- PRP 39713 4765 21 call call VBP 39713 4765 22 principles principle NNS 39713 4765 23 . . . 39713 4766 1 When when WRB 39713 4766 2 a a DT 39713 4766 3 law law NN 39713 4766 4 has have VBZ 39713 4766 5 received receive VBN 39713 4766 6 a a DT 39713 4766 7 sufficient sufficient JJ 39713 4766 8 confirmation confirmation NN 39713 4766 9 from from IN 39713 4766 10 experiment experiment NN 39713 4766 11 , , , 39713 4766 12 we -PRON- PRP 39713 4766 13 may may MD 39713 4766 14 adopt adopt VB 39713 4766 15 two two CD 39713 4766 16 attitudes attitude NNS 39713 4766 17 : : : 39713 4766 18 either either CC 39713 4766 19 we -PRON- PRP 39713 4766 20 may may MD 39713 4766 21 leave leave VB 39713 4766 22 this this DT 39713 4766 23 law law NN 39713 4766 24 in in IN 39713 4766 25 the the DT 39713 4766 26 fray fray NN 39713 4766 27 ; ; : 39713 4766 28 it -PRON- PRP 39713 4766 29 will will MD 39713 4766 30 then then RB 39713 4766 31 remain remain VB 39713 4766 32 subjected subjected JJ 39713 4766 33 to to IN 39713 4766 34 an an DT 39713 4766 35 incessant incessant JJ 39713 4766 36 revision revision NN 39713 4766 37 , , , 39713 4766 38 which which WDT 39713 4766 39 without without IN 39713 4766 40 any any DT 39713 4766 41 doubt doubt NN 39713 4766 42 will will MD 39713 4766 43 end end VB 39713 4766 44 by by IN 39713 4766 45 demonstrating demonstrate VBG 39713 4766 46 that that IN 39713 4766 47 it -PRON- PRP 39713 4766 48 is be VBZ 39713 4766 49 only only RB 39713 4766 50 approximative approximative JJ 39713 4766 51 . . . 39713 4767 1 Or or CC 39713 4767 2 else else RB 39713 4767 3 we -PRON- PRP 39713 4767 4 may may MD 39713 4767 5 elevate elevate VB 39713 4767 6 it -PRON- PRP 39713 4767 7 into into IN 39713 4767 8 a a DT 39713 4767 9 _ _ NNP 39713 4767 10 principle principle NN 39713 4767 11 _ _ NNP 39713 4767 12 by by IN 39713 4767 13 adopting adopt VBG 39713 4767 14 conventions convention NNS 39713 4767 15 such such JJ 39713 4767 16 that that IN 39713 4767 17 the the DT 39713 4767 18 proposition proposition NN 39713 4767 19 may may MD 39713 4767 20 be be VB 39713 4767 21 certainly certainly RB 39713 4767 22 true true JJ 39713 4767 23 . . . 39713 4768 1 For for IN 39713 4768 2 that that DT 39713 4768 3 the the DT 39713 4768 4 procedure procedure NN 39713 4768 5 is be VBZ 39713 4768 6 always always RB 39713 4768 7 the the DT 39713 4768 8 same same JJ 39713 4768 9 . . . 39713 4769 1 The the DT 39713 4769 2 primitive primitive JJ 39713 4769 3 law law NN 39713 4769 4 enunciated enunciate VBD 39713 4769 5 a a DT 39713 4769 6 relation relation NN 39713 4769 7 between between IN 39713 4769 8 two two CD 39713 4769 9 facts fact NNS 39713 4769 10 in in IN 39713 4769 11 the the DT 39713 4769 12 rough rough JJ 39713 4769 13 , , , 39713 4769 14 _ _ NNP 39713 4769 15 A A NNP 39713 4769 16 _ _ NNP 39713 4769 17 and and CC 39713 4769 18 _ _ NNP 39713 4769 19 B B NNP 39713 4769 20 _ _ NNP 39713 4769 21 ; ; : 39713 4769 22 between between IN 39713 4769 23 these these DT 39713 4769 24 two two CD 39713 4769 25 crude crude JJ 39713 4769 26 facts fact NNS 39713 4769 27 is be VBZ 39713 4769 28 introduced introduce VBN 39713 4769 29 an an DT 39713 4769 30 abstract abstract JJ 39713 4769 31 intermediary intermediary NN 39713 4769 32 _ _ NNP 39713 4769 33 C C NNP 39713 4769 34 _ _ NNP 39713 4769 35 , , , 39713 4769 36 more more RBR 39713 4769 37 or or CC 39713 4769 38 less less RBR 39713 4769 39 fictitious fictitious JJ 39713 4769 40 ( ( -LRB- 39713 4769 41 such such JJ 39713 4769 42 was be VBD 39713 4769 43 in in IN 39713 4769 44 the the DT 39713 4769 45 preceding precede VBG 39713 4769 46 example example NN 39713 4769 47 the the DT 39713 4769 48 impalpable impalpable JJ 39713 4769 49 entity entity NN 39713 4769 50 , , , 39713 4769 51 gravitation gravitation NN 39713 4769 52 ) ) -RRB- 39713 4769 53 . . . 39713 4770 1 And and CC 39713 4770 2 then then RB 39713 4770 3 we -PRON- PRP 39713 4770 4 have have VBP 39713 4770 5 a a DT 39713 4770 6 relation relation NN 39713 4770 7 between between IN 39713 4770 8 _ _ NNP 39713 4770 9 A A NNP 39713 4770 10 _ _ NNP 39713 4770 11 and and CC 39713 4770 12 _ _ NNP 39713 4770 13 C C NNP 39713 4770 14 _ _ NNP 39713 4770 15 that that IN 39713 4770 16 we -PRON- PRP 39713 4770 17 may may MD 39713 4770 18 suppose suppose VB 39713 4770 19 rigorous rigorous JJ 39713 4770 20 and and CC 39713 4770 21 which which WDT 39713 4770 22 is be VBZ 39713 4770 23 the the DT 39713 4770 24 _ _ NNP 39713 4770 25 principle principle NN 39713 4770 26 _ _ NNP 39713 4770 27 ; ; : 39713 4770 28 and and CC 39713 4770 29 another another DT 39713 4770 30 between between IN 39713 4770 31 _ _ NNP 39713 4770 32 C C NNP 39713 4770 33 _ _ NNP 39713 4770 34 and and CC 39713 4770 35 _ _ NNP 39713 4770 36 B B NNP 39713 4770 37 _ _ NNP 39713 4770 38 which which WDT 39713 4770 39 remains remain VBZ 39713 4770 40 a a DT 39713 4770 41 _ _ NNP 39713 4770 42 law law NN 39713 4770 43 _ _ NNP 39713 4770 44 subject subject NN 39713 4770 45 to to IN 39713 4770 46 revision revision NN 39713 4770 47 . . . 39713 4771 1 The the DT 39713 4771 2 principle principle NN 39713 4771 3 , , , 39713 4771 4 henceforth henceforth RB 39713 4771 5 crystallized crystallized JJ 39713 4771 6 , , , 39713 4771 7 so so RB 39713 4771 8 to to TO 39713 4771 9 speak speak VB 39713 4771 10 , , , 39713 4771 11 is be VBZ 39713 4771 12 no no DT 39713 4771 13 longer long RBR 39713 4771 14 subject subject JJ 39713 4771 15 to to IN 39713 4771 16 the the DT 39713 4771 17 test test NN 39713 4771 18 of of IN 39713 4771 19 experiment experiment NN 39713 4771 20 . . . 39713 4772 1 It -PRON- PRP 39713 4772 2 is be VBZ 39713 4772 3 not not RB 39713 4772 4 true true JJ 39713 4772 5 or or CC 39713 4772 6 false false JJ 39713 4772 7 , , , 39713 4772 8 it -PRON- PRP 39713 4772 9 is be VBZ 39713 4772 10 convenient convenient JJ 39713 4772 11 . . . 39713 4773 1 Great great JJ 39713 4773 2 advantages advantage NNS 39713 4773 3 have have VBP 39713 4773 4 often often RB 39713 4773 5 been be VBN 39713 4773 6 found find VBN 39713 4773 7 in in IN 39713 4773 8 proceeding proceed VBG 39713 4773 9 in in IN 39713 4773 10 that that DT 39713 4773 11 way way NN 39713 4773 12 , , , 39713 4773 13 but but CC 39713 4773 14 it -PRON- PRP 39713 4773 15 is be VBZ 39713 4773 16 clear clear JJ 39713 4773 17 that that IN 39713 4773 18 if if IN 39713 4773 19 _ _ NNP 39713 4773 20 all all DT 39713 4773 21 _ _ NNP 39713 4773 22 the the DT 39713 4773 23 laws law NNS 39713 4773 24 had have VBD 39713 4773 25 been be VBN 39713 4773 26 transformed transform VBN 39713 4773 27 into into IN 39713 4773 28 principles principle NNS 39713 4773 29 _ _ NNP 39713 4773 30 nothing nothing NN 39713 4773 31 _ _ NNP 39713 4773 32 would would MD 39713 4773 33 be be VB 39713 4773 34 left leave VBN 39713 4773 35 of of IN 39713 4773 36 science science NN 39713 4773 37 . . . 39713 4774 1 Every every DT 39713 4774 2 law law NN 39713 4774 3 may may MD 39713 4774 4 be be VB 39713 4774 5 broken break VBN 39713 4774 6 up up RP 39713 4774 7 into into IN 39713 4774 8 a a DT 39713 4774 9 principle principle NN 39713 4774 10 and and CC 39713 4774 11 a a DT 39713 4774 12 law law NN 39713 4774 13 , , , 39713 4774 14 but but CC 39713 4774 15 thereby thereby RB 39713 4774 16 it -PRON- PRP 39713 4774 17 is be VBZ 39713 4774 18 very very RB 39713 4774 19 clear clear JJ 39713 4774 20 that that IN 39713 4774 21 , , , 39713 4774 22 however however RB 39713 4774 23 far far RB 39713 4774 24 this this DT 39713 4774 25 partition partition NN 39713 4774 26 be be VB 39713 4774 27 pushed push VBN 39713 4774 28 , , , 39713 4774 29 there there EX 39713 4774 30 will will MD 39713 4774 31 always always RB 39713 4774 32 remain remain VB 39713 4774 33 laws law NNS 39713 4774 34 . . . 39713 4775 1 Nominalism nominalism NN 39713 4775 2 has have VBZ 39713 4775 3 therefore therefore RB 39713 4775 4 limits limit NNS 39713 4775 5 , , , 39713 4775 6 and and CC 39713 4775 7 this this DT 39713 4775 8 is be VBZ 39713 4775 9 what what WP 39713 4775 10 one one PRP 39713 4775 11 might may MD 39713 4775 12 fail fail VB 39713 4775 13 to to TO 39713 4775 14 recognize recognize VB 39713 4775 15 if if IN 39713 4775 16 one one CD 39713 4775 17 took take VBD 39713 4775 18 to to IN 39713 4775 19 the the DT 39713 4775 20 very very JJ 39713 4775 21 letter letter NN 39713 4775 22 M. M. NNP 39713 4775 23 LeRoy LeRoy NNP 39713 4775 24 's 's POS 39713 4775 25 assertions assertion NNS 39713 4775 26 . . . 39713 4776 1 A a DT 39713 4776 2 rapid rapid JJ 39713 4776 3 review review NN 39713 4776 4 of of IN 39713 4776 5 the the DT 39713 4776 6 sciences science NNS 39713 4776 7 will will MD 39713 4776 8 make make VB 39713 4776 9 us -PRON- PRP 39713 4776 10 comprehend comprehend VB 39713 4776 11 better well JJR 39713 4776 12 what what WP 39713 4776 13 are be VBP 39713 4776 14 these these DT 39713 4776 15 limits limit NNS 39713 4776 16 . . . 39713 4777 1 The the DT 39713 4777 2 nominalist nominalist JJ 39713 4777 3 attitude attitude NN 39713 4777 4 is be VBZ 39713 4777 5 justified justify VBN 39713 4777 6 only only RB 39713 4777 7 when when WRB 39713 4777 8 it -PRON- PRP 39713 4777 9 is be VBZ 39713 4777 10 convenient convenient JJ 39713 4777 11 ; ; : 39713 4777 12 when when WRB 39713 4777 13 is be VBZ 39713 4777 14 it -PRON- PRP 39713 4777 15 so so RB 39713 4777 16 ? ? . 39713 4778 1 Experiment experiment NN 39713 4778 2 teaches teach VBZ 39713 4778 3 us -PRON- PRP 39713 4778 4 relations relation NNS 39713 4778 5 between between IN 39713 4778 6 bodies body NNS 39713 4778 7 ; ; : 39713 4778 8 this this DT 39713 4778 9 is be VBZ 39713 4778 10 the the DT 39713 4778 11 fact fact NN 39713 4778 12 in in IN 39713 4778 13 the the DT 39713 4778 14 rough rough JJ 39713 4778 15 ; ; : 39713 4778 16 these these DT 39713 4778 17 relations relation NNS 39713 4778 18 are be VBP 39713 4778 19 extremely extremely RB 39713 4778 20 complicated complicated JJ 39713 4778 21 . . . 39713 4779 1 Instead instead RB 39713 4779 2 of of IN 39713 4779 3 envisaging envisage VBG 39713 4779 4 directly directly RB 39713 4779 5 the the DT 39713 4779 6 relation relation NN 39713 4779 7 of of IN 39713 4779 8 the the DT 39713 4779 9 body body NN 39713 4779 10 _ _ NNP 39713 4779 11 A A NNP 39713 4779 12 _ _ NNP 39713 4779 13 and and CC 39713 4779 14 the the DT 39713 4779 15 body body NN 39713 4779 16 _ _ NNP 39713 4779 17 B B NNP 39713 4779 18 _ _ NNP 39713 4779 19 , , , 39713 4779 20 we -PRON- PRP 39713 4779 21 introduce introduce VBP 39713 4779 22 between between IN 39713 4779 23 them -PRON- PRP 39713 4779 24 an an DT 39713 4779 25 intermediary intermediary NN 39713 4779 26 , , , 39713 4779 27 which which WDT 39713 4779 28 is be VBZ 39713 4779 29 space space NN 39713 4779 30 , , , 39713 4779 31 and and CC 39713 4779 32 we -PRON- PRP 39713 4779 33 envisage envisage VBP 39713 4779 34 three three CD 39713 4779 35 distinct distinct JJ 39713 4779 36 relations relation NNS 39713 4779 37 : : : 39713 4779 38 that that DT 39713 4779 39 of of IN 39713 4779 40 the the DT 39713 4779 41 body body NN 39713 4779 42 _ _ NNP 39713 4779 43 A A NNP 39713 4779 44 _ _ NNP 39713 4779 45 with with IN 39713 4779 46 the the DT 39713 4779 47 figure figure NN 39713 4779 48 _ _ NNP 39713 4779 49 A A NNP 39713 4779 50 ' ' '' 39713 4779 51 _ _ NNP 39713 4779 52 of of IN 39713 4779 53 space space NN 39713 4779 54 , , , 39713 4779 55 that that DT 39713 4779 56 of of IN 39713 4779 57 the the DT 39713 4779 58 body body NN 39713 4779 59 _ _ NNP 39713 4779 60 B B NNP 39713 4779 61 _ _ NNP 39713 4779 62 with with IN 39713 4779 63 the the DT 39713 4779 64 figure figure NN 39713 4779 65 _ _ NNP 39713 4779 66 B B NNP 39713 4779 67 ' ' '' 39713 4779 68 _ _ NNP 39713 4779 69 of of IN 39713 4779 70 space space NN 39713 4779 71 , , , 39713 4779 72 that that DT 39713 4779 73 of of IN 39713 4779 74 the the DT 39713 4779 75 two two CD 39713 4779 76 figures figure NNS 39713 4779 77 _ _ NNP 39713 4779 78 A A NNP 39713 4779 79 ' ' '' 39713 4779 80 _ _ NNP 39713 4779 81 and and CC 39713 4779 82 _ _ NNP 39713 4779 83 B B NNP 39713 4779 84 ' ' '' 39713 4779 85 _ _ NNP 39713 4779 86 to to IN 39713 4779 87 each each DT 39713 4779 88 other other JJ 39713 4779 89 . . . 39713 4780 1 Why why WRB 39713 4780 2 is be VBZ 39713 4780 3 this this DT 39713 4780 4 detour detour NN 39713 4780 5 advantageous advantageous JJ 39713 4780 6 ? ? . 39713 4781 1 Because because IN 39713 4781 2 the the DT 39713 4781 3 relation relation NN 39713 4781 4 of of IN 39713 4781 5 _ _ NNP 39713 4781 6 A A NNP 39713 4781 7 _ _ NNP 39713 4781 8 and and CC 39713 4781 9 _ _ NNP 39713 4781 10 B B NNP 39713 4781 11 _ _ NNP 39713 4781 12 was be VBD 39713 4781 13 complicated complicate VBN 39713 4781 14 , , , 39713 4781 15 but but CC 39713 4781 16 differed differ VBN 39713 4781 17 little little JJ 39713 4781 18 from from IN 39713 4781 19 that that DT 39713 4781 20 of of IN 39713 4781 21 _ _ NNP 39713 4781 22 A A NNP 39713 4781 23 ' ' '' 39713 4781 24 _ _ NNP 39713 4781 25 and and CC 39713 4781 26 _ _ NNP 39713 4781 27 B B NNP 39713 4781 28 ' ' '' 39713 4781 29 _ _ NNP 39713 4781 30 , , , 39713 4781 31 which which WDT 39713 4781 32 is be VBZ 39713 4781 33 simple simple JJ 39713 4781 34 ; ; : 39713 4781 35 so so IN 39713 4781 36 that that IN 39713 4781 37 this this DT 39713 4781 38 complicated complicate VBN 39713 4781 39 relation relation NN 39713 4781 40 may may MD 39713 4781 41 be be VB 39713 4781 42 replaced replace VBN 39713 4781 43 by by IN 39713 4781 44 the the DT 39713 4781 45 simple simple JJ 39713 4781 46 relation relation NN 39713 4781 47 between between IN 39713 4781 48 _ _ NNP 39713 4781 49 A A NNP 39713 4781 50 ' ' '' 39713 4781 51 _ _ NNP 39713 4781 52 and and CC 39713 4781 53 _ _ NNP 39713 4781 54 B B NNP 39713 4781 55 ' ' '' 39713 4781 56 _ _ NNP 39713 4781 57 and and CC 39713 4781 58 by by IN 39713 4781 59 two two CD 39713 4781 60 other other JJ 39713 4781 61 relations relation NNS 39713 4781 62 which which WDT 39713 4781 63 tell tell VBP 39713 4781 64 us -PRON- PRP 39713 4781 65 that that IN 39713 4781 66 the the DT 39713 4781 67 differences difference NNS 39713 4781 68 between between IN 39713 4781 69 _ _ NNP 39713 4781 70 A A NNP 39713 4781 71 _ _ NNP 39713 4781 72 and and CC 39713 4781 73 _ _ NNP 39713 4781 74 A A NNP 39713 4781 75 ' ' '' 39713 4781 76 _ _ NNP 39713 4781 77 , , , 39713 4781 78 on on IN 39713 4781 79 the the DT 39713 4781 80 one one CD 39713 4781 81 hand hand NN 39713 4781 82 , , , 39713 4781 83 between between IN 39713 4781 84 _ _ NNP 39713 4781 85 B B NNP 39713 4781 86 _ _ NNP 39713 4781 87 and and CC 39713 4781 88 _ _ NNP 39713 4781 89 B B NNP 39713 4781 90 ' ' '' 39713 4781 91 _ _ NNP 39713 4781 92 , , , 39713 4781 93 on on IN 39713 4781 94 the the DT 39713 4781 95 other other JJ 39713 4781 96 hand hand NN 39713 4781 97 , , , 39713 4781 98 are be VBP 39713 4781 99 _ _ NNP 39713 4781 100 very very RB 39713 4781 101 small small JJ 39713 4781 102 _ _ NNP 39713 4781 103 . . . 39713 4782 1 For for IN 39713 4782 2 example example NN 39713 4782 3 , , , 39713 4782 4 if if IN 39713 4782 5 _ _ NNP 39713 4782 6 A A NNP 39713 4782 7 _ _ NNP 39713 4782 8 and and CC 39713 4782 9 _ _ NNP 39713 4782 10 B B NNP 39713 4782 11 _ _ NNP 39713 4782 12 are be VBP 39713 4782 13 two two CD 39713 4782 14 natural natural JJ 39713 4782 15 solid solid JJ 39713 4782 16 bodies body NNS 39713 4782 17 which which WDT 39713 4782 18 are be VBP 39713 4782 19 displaced displace VBN 39713 4782 20 with with IN 39713 4782 21 slight slight JJ 39713 4782 22 deformation deformation NN 39713 4782 23 , , , 39713 4782 24 we -PRON- PRP 39713 4782 25 envisage envisage VBP 39713 4782 26 two two CD 39713 4782 27 movable movable JJ 39713 4782 28 _ _ NNP 39713 4782 29 rigid rigid JJ 39713 4782 30 _ _ NNP 39713 4782 31 figures figure NNS 39713 4782 32 _ _ NNP 39713 4782 33 A A NNP 39713 4782 34 ' ' '' 39713 4782 35 _ _ NNP 39713 4782 36 and and CC 39713 4782 37 _ _ NNP 39713 4782 38 B B NNP 39713 4782 39 ' ' '' 39713 4782 40 _ _ NNP 39713 4782 41 . . . 39713 4783 1 The the DT 39713 4783 2 laws law NNS 39713 4783 3 of of IN 39713 4783 4 the the DT 39713 4783 5 relative relative JJ 39713 4783 6 displacement displacement NN 39713 4783 7 of of IN 39713 4783 8 these these DT 39713 4783 9 figures figure NNS 39713 4783 10 _ _ NNP 39713 4783 11 A A NNP 39713 4783 12 ' ' '' 39713 4783 13 _ _ NNP 39713 4783 14 and and CC 39713 4783 15 _ _ NNP 39713 4783 16 B B NNP 39713 4783 17 ' ' '' 39713 4783 18 _ _ NNP 39713 4783 19 will will MD 39713 4783 20 be be VB 39713 4783 21 very very RB 39713 4783 22 simple simple JJ 39713 4783 23 ; ; : 39713 4783 24 they -PRON- PRP 39713 4783 25 will will MD 39713 4783 26 be be VB 39713 4783 27 those those DT 39713 4783 28 of of IN 39713 4783 29 geometry geometry NN 39713 4783 30 . . . 39713 4784 1 And and CC 39713 4784 2 we -PRON- PRP 39713 4784 3 shall shall MD 39713 4784 4 afterward afterward RB 39713 4784 5 add add VB 39713 4784 6 that that IN 39713 4784 7 the the DT 39713 4784 8 body body NN 39713 4784 9 _ _ NNP 39713 4784 10 A A NNP 39713 4784 11 _ _ NNP 39713 4784 12 , , , 39713 4784 13 which which WDT 39713 4784 14 always always RB 39713 4784 15 differs differ VBZ 39713 4784 16 very very RB 39713 4784 17 little little JJ 39713 4784 18 from from IN 39713 4784 19 _ _ NNP 39713 4784 20 A A NNP 39713 4784 21 ' ' '' 39713 4784 22 _ _ NN 39713 4784 23 , , , 39713 4784 24 dilates dilate VBZ 39713 4784 25 from from IN 39713 4784 26 the the DT 39713 4784 27 effect effect NN 39713 4784 28 of of IN 39713 4784 29 heat heat NN 39713 4784 30 and and CC 39713 4784 31 bends bend NNS 39713 4784 32 from from IN 39713 4784 33 the the DT 39713 4784 34 effect effect NN 39713 4784 35 of of IN 39713 4784 36 elasticity elasticity NN 39713 4784 37 . . . 39713 4785 1 These these DT 39713 4785 2 dilatations dilatation NNS 39713 4785 3 and and CC 39713 4785 4 flexions flexion NNS 39713 4785 5 , , , 39713 4785 6 just just RB 39713 4785 7 because because IN 39713 4785 8 they -PRON- PRP 39713 4785 9 are be VBP 39713 4785 10 very very RB 39713 4785 11 small small JJ 39713 4785 12 , , , 39713 4785 13 will will MD 39713 4785 14 be be VB 39713 4785 15 for for IN 39713 4785 16 our -PRON- PRP$ 39713 4785 17 mind mind NN 39713 4785 18 relatively relatively RB 39713 4785 19 easy easy JJ 39713 4785 20 to to TO 39713 4785 21 study study VB 39713 4785 22 . . . 39713 4786 1 Just just RB 39713 4786 2 imagine imagine VB 39713 4786 3 to to IN 39713 4786 4 what what WDT 39713 4786 5 complexities complexity NNS 39713 4786 6 of of IN 39713 4786 7 language language NN 39713 4786 8 it -PRON- PRP 39713 4786 9 would would MD 39713 4786 10 have have VB 39713 4786 11 been be VBN 39713 4786 12 necessary necessary JJ 39713 4786 13 to to TO 39713 4786 14 be be VB 39713 4786 15 resigned resign VBN 39713 4786 16 if if IN 39713 4786 17 we -PRON- PRP 39713 4786 18 had have VBD 39713 4786 19 wished wish VBN 39713 4786 20 to to TO 39713 4786 21 comprehend comprehend VB 39713 4786 22 in in IN 39713 4786 23 the the DT 39713 4786 24 same same JJ 39713 4786 25 enunciation enunciation NN 39713 4786 26 the the DT 39713 4786 27 displacement displacement NN 39713 4786 28 of of IN 39713 4786 29 the the DT 39713 4786 30 solid solid JJ 39713 4786 31 , , , 39713 4786 32 its -PRON- PRP$ 39713 4786 33 dilatation dilatation NN 39713 4786 34 and and CC 39713 4786 35 its -PRON- PRP$ 39713 4786 36 flexure flexure NN 39713 4786 37 ? ? . 39713 4787 1 The the DT 39713 4787 2 relation relation NN 39713 4787 3 between between IN 39713 4787 4 _ _ NNP 39713 4787 5 A A NNP 39713 4787 6 _ _ NNP 39713 4787 7 and and CC 39713 4787 8 _ _ NNP 39713 4787 9 B B NNP 39713 4787 10 _ _ NNP 39713 4787 11 was be VBD 39713 4787 12 a a DT 39713 4787 13 rough rough JJ 39713 4787 14 law law NN 39713 4787 15 , , , 39713 4787 16 and and CC 39713 4787 17 was be VBD 39713 4787 18 broken break VBN 39713 4787 19 up up RP 39713 4787 20 ; ; : 39713 4787 21 we -PRON- PRP 39713 4787 22 now now RB 39713 4787 23 have have VBP 39713 4787 24 two two CD 39713 4787 25 laws law NNS 39713 4787 26 which which WDT 39713 4787 27 express express VBP 39713 4787 28 the the DT 39713 4787 29 relations relation NNS 39713 4787 30 of of IN 39713 4787 31 _ _ NNP 39713 4787 32 A A NNP 39713 4787 33 _ _ NNP 39713 4787 34 and and CC 39713 4787 35 _ _ NNP 39713 4787 36 A A NNP 39713 4787 37 ' ' '' 39713 4787 38 _ _ NNP 39713 4787 39 , , , 39713 4787 40 of of IN 39713 4787 41 _ _ NNP 39713 4787 42 B B NNP 39713 4787 43 _ _ NNP 39713 4787 44 and and CC 39713 4787 45 _ _ NNP 39713 4787 46 B B NNP 39713 4787 47 ' ' '' 39713 4787 48 _ _ NNP 39713 4787 49 , , , 39713 4787 50 and and CC 39713 4787 51 a a DT 39713 4787 52 principle principle NN 39713 4787 53 which which WDT 39713 4787 54 expresses express VBZ 39713 4787 55 that that DT 39713 4787 56 of of IN 39713 4787 57 _ _ NNP 39713 4787 58 A A NNP 39713 4787 59 ' ' '' 39713 4787 60 _ _ NNP 39713 4787 61 with with IN 39713 4787 62 _ _ NNP 39713 4787 63 B B NNP 39713 4787 64 ' ' '' 39713 4787 65 _ _ NNP 39713 4787 66 . . . 39713 4788 1 It -PRON- PRP 39713 4788 2 is be VBZ 39713 4788 3 the the DT 39713 4788 4 aggregate aggregate NN 39713 4788 5 of of IN 39713 4788 6 these these DT 39713 4788 7 principles principle NNS 39713 4788 8 that that WDT 39713 4788 9 is be VBZ 39713 4788 10 called call VBN 39713 4788 11 geometry geometry NN 39713 4788 12 . . . 39713 4789 1 Two two CD 39713 4789 2 other other JJ 39713 4789 3 remarks remark NNS 39713 4789 4 . . . 39713 4790 1 We -PRON- PRP 39713 4790 2 have have VBP 39713 4790 3 a a DT 39713 4790 4 relation relation NN 39713 4790 5 between between IN 39713 4790 6 two two CD 39713 4790 7 bodies body NNS 39713 4790 8 _ _ NNP 39713 4790 9 A A NNP 39713 4790 10 _ _ NNP 39713 4790 11 and and CC 39713 4790 12 _ _ NNP 39713 4790 13 B B NNP 39713 4790 14 _ _ NNP 39713 4790 15 , , , 39713 4790 16 which which WDT 39713 4790 17 we -PRON- PRP 39713 4790 18 have have VBP 39713 4790 19 replaced replace VBN 39713 4790 20 by by IN 39713 4790 21 a a DT 39713 4790 22 relation relation NN 39713 4790 23 between between IN 39713 4790 24 two two CD 39713 4790 25 figures figure NNS 39713 4790 26 _ _ NNP 39713 4790 27 A A NNP 39713 4790 28 ' ' '' 39713 4790 29 _ _ NNP 39713 4790 30 and and CC 39713 4790 31 _ _ NNP 39713 4790 32 B B NNP 39713 4790 33 ' ' '' 39713 4790 34 _ _ NN 39713 4790 35 ; ; : 39713 4790 36 but but CC 39713 4790 37 this this DT 39713 4790 38 same same JJ 39713 4790 39 relation relation NN 39713 4790 40 between between IN 39713 4790 41 the the DT 39713 4790 42 same same JJ 39713 4790 43 two two CD 39713 4790 44 figures figure NNS 39713 4790 45 _ _ NNP 39713 4790 46 A A NNP 39713 4790 47 ' ' '' 39713 4790 48 _ _ NNP 39713 4790 49 and and CC 39713 4790 50 _ _ NNP 39713 4790 51 B B NNP 39713 4790 52 ' ' '' 39713 4790 53 _ _ NNP 39713 4790 54 could could MD 39713 4790 55 just just RB 39713 4790 56 as as RB 39713 4790 57 well well RB 39713 4790 58 have have VBP 39713 4790 59 replaced replace VBN 39713 4790 60 advantageously advantageously RB 39713 4790 61 a a DT 39713 4790 62 relation relation NN 39713 4790 63 between between IN 39713 4790 64 two two CD 39713 4790 65 other other JJ 39713 4790 66 bodies body NNS 39713 4790 67 _ _ NNP 39713 4790 68 A A NNP 39713 4790 69 ' ' '' 39713 4790 70 ' ' '' 39713 4790 71 _ _ NNP 39713 4790 72 and and CC 39713 4790 73 _ _ NNP 39713 4790 74 B B NNP 39713 4790 75 ' ' '' 39713 4790 76 ' ' '' 39713 4790 77 _ _ NNP 39713 4790 78 , , , 39713 4790 79 entirely entirely RB 39713 4790 80 different different JJ 39713 4790 81 from from IN 39713 4790 82 _ _ NNP 39713 4790 83 A A NNP 39713 4790 84 _ _ NNP 39713 4790 85 and and CC 39713 4790 86 _ _ NNP 39713 4790 87 B B NNP 39713 4790 88 _ _ NNP 39713 4790 89 . . . 39713 4791 1 And and CC 39713 4791 2 that that IN 39713 4791 3 in in IN 39713 4791 4 many many JJ 39713 4791 5 ways way NNS 39713 4791 6 . . . 39713 4792 1 If if IN 39713 4792 2 the the DT 39713 4792 3 principles principle NNS 39713 4792 4 of of IN 39713 4792 5 geometry geometry NN 39713 4792 6 had have VBD 39713 4792 7 not not RB 39713 4792 8 been be VBN 39713 4792 9 invented invent VBN 39713 4792 10 , , , 39713 4792 11 after after IN 39713 4792 12 having have VBG 39713 4792 13 studied study VBN 39713 4792 14 the the DT 39713 4792 15 relation relation NN 39713 4792 16 of of IN 39713 4792 17 _ _ NNP 39713 4792 18 A A NNP 39713 4792 19 _ _ NNP 39713 4792 20 and and CC 39713 4792 21 _ _ NNP 39713 4792 22 B B NNP 39713 4792 23 _ _ NNP 39713 4792 24 , , , 39713 4792 25 it -PRON- PRP 39713 4792 26 would would MD 39713 4792 27 be be VB 39713 4792 28 necessary necessary JJ 39713 4792 29 to to TO 39713 4792 30 begin begin VB 39713 4792 31 again again RB 39713 4792 32 _ _ NNP 39713 4792 33 ab ab NNP 39713 4792 34 ovo ovo NNP 39713 4792 35 _ _ NNP 39713 4792 36 the the DT 39713 4792 37 study study NN 39713 4792 38 of of IN 39713 4792 39 the the DT 39713 4792 40 relation relation NN 39713 4792 41 of of IN 39713 4792 42 _ _ NNP 39713 4792 43 A A NNP 39713 4792 44 ' ' '' 39713 4792 45 ' ' '' 39713 4792 46 _ _ NNP 39713 4792 47 and and CC 39713 4792 48 _ _ NNP 39713 4792 49 B B NNP 39713 4792 50 ' ' '' 39713 4792 51 ' ' '' 39713 4792 52 _ _ XX 39713 4792 53 . . . 39713 4793 1 That that DT 39713 4793 2 is be VBZ 39713 4793 3 why why WRB 39713 4793 4 geometry geometry NN 39713 4793 5 is be VBZ 39713 4793 6 so so RB 39713 4793 7 precious precious JJ 39713 4793 8 . . . 39713 4794 1 A a DT 39713 4794 2 geometrical geometrical JJ 39713 4794 3 relation relation NN 39713 4794 4 can can MD 39713 4794 5 advantageously advantageously RB 39713 4794 6 replace replace VB 39713 4794 7 a a DT 39713 4794 8 relation relation NN 39713 4794 9 which which WDT 39713 4794 10 , , , 39713 4794 11 considered consider VBN 39713 4794 12 in in IN 39713 4794 13 the the DT 39713 4794 14 rough rough JJ 39713 4794 15 state state NN 39713 4794 16 , , , 39713 4794 17 should should MD 39713 4794 18 be be VB 39713 4794 19 regarded regard VBN 39713 4794 20 as as IN 39713 4794 21 mechanical mechanical JJ 39713 4794 22 , , , 39713 4794 23 it -PRON- PRP 39713 4794 24 can can MD 39713 4794 25 replace replace VB 39713 4794 26 another another DT 39713 4794 27 which which WDT 39713 4794 28 should should MD 39713 4794 29 be be VB 39713 4794 30 regarded regard VBN 39713 4794 31 as as IN 39713 4794 32 optical optical JJ 39713 4794 33 , , , 39713 4794 34 etc etc FW 39713 4794 35 . . . 39713 4795 1 Yet yet CC 39713 4795 2 let let VB 39713 4795 3 no no DT 39713 4795 4 one one NN 39713 4795 5 say say VB 39713 4795 6 : : : 39713 4795 7 But but CC 39713 4795 8 that that DT 39713 4795 9 proves prove VBZ 39713 4795 10 geometry geometry VB 39713 4795 11 an an DT 39713 4795 12 experimental experimental JJ 39713 4795 13 science science NN 39713 4795 14 ; ; : 39713 4795 15 in in IN 39713 4795 16 separating separate VBG 39713 4795 17 its -PRON- PRP$ 39713 4795 18 principles principle NNS 39713 4795 19 from from IN 39713 4795 20 laws law NNS 39713 4795 21 whence whence NN 39713 4795 22 they -PRON- PRP 39713 4795 23 have have VBP 39713 4795 24 been be VBN 39713 4795 25 drawn draw VBN 39713 4795 26 , , , 39713 4795 27 you -PRON- PRP 39713 4795 28 artificially artificially RB 39713 4795 29 separate separate VBP 39713 4795 30 it -PRON- PRP 39713 4795 31 itself -PRON- PRP 39713 4795 32 from from IN 39713 4795 33 the the DT 39713 4795 34 sciences science NNS 39713 4795 35 which which WDT 39713 4795 36 have have VBP 39713 4795 37 given give VBN 39713 4795 38 birth birth NN 39713 4795 39 to to IN 39713 4795 40 it -PRON- PRP 39713 4795 41 . . . 39713 4796 1 The the DT 39713 4796 2 other other JJ 39713 4796 3 sciences science NNS 39713 4796 4 have have VBP 39713 4796 5 likewise likewise JJ 39713 4796 6 principles principle NNS 39713 4796 7 , , , 39713 4796 8 but but CC 39713 4796 9 that that DT 39713 4796 10 does do VBZ 39713 4796 11 not not RB 39713 4796 12 preclude preclude VB 39713 4796 13 our -PRON- PRP$ 39713 4796 14 having have VBG 39713 4796 15 to to TO 39713 4796 16 call call VB 39713 4796 17 them -PRON- PRP 39713 4796 18 experimental experimental JJ 39713 4796 19 . . . 39713 4797 1 It -PRON- PRP 39713 4797 2 must must MD 39713 4797 3 be be VB 39713 4797 4 recognized recognize VBN 39713 4797 5 that that IN 39713 4797 6 it -PRON- PRP 39713 4797 7 would would MD 39713 4797 8 have have VB 39713 4797 9 been be VBN 39713 4797 10 difficult difficult JJ 39713 4797 11 not not RB 39713 4797 12 to to TO 39713 4797 13 make make VB 39713 4797 14 this this DT 39713 4797 15 separation separation NN 39713 4797 16 that that WDT 39713 4797 17 is be VBZ 39713 4797 18 pretended pretend VBN 39713 4797 19 to to TO 39713 4797 20 be be VB 39713 4797 21 artificial artificial JJ 39713 4797 22 . . . 39713 4798 1 We -PRON- PRP 39713 4798 2 know know VBP 39713 4798 3 the the DT 39713 4798 4 rôle rôle NNS 39713 4798 5 that that IN 39713 4798 6 the the DT 39713 4798 7 kinematics kinematics NNPS 39713 4798 8 of of IN 39713 4798 9 solid solid JJ 39713 4798 10 bodies body NNS 39713 4798 11 has have VBZ 39713 4798 12 played play VBN 39713 4798 13 in in IN 39713 4798 14 the the DT 39713 4798 15 genesis genesis NN 39713 4798 16 of of IN 39713 4798 17 geometry geometry NN 39713 4798 18 ; ; : 39713 4798 19 should should MD 39713 4798 20 it -PRON- PRP 39713 4798 21 then then RB 39713 4798 22 be be VB 39713 4798 23 said say VBN 39713 4798 24 that that IN 39713 4798 25 geometry geometry NN 39713 4798 26 is be VBZ 39713 4798 27 only only RB 39713 4798 28 a a DT 39713 4798 29 branch branch NN 39713 4798 30 of of IN 39713 4798 31 experimental experimental JJ 39713 4798 32 kinematics kinematic NNS 39713 4798 33 ? ? . 39713 4799 1 But but CC 39713 4799 2 the the DT 39713 4799 3 laws law NNS 39713 4799 4 of of IN 39713 4799 5 the the DT 39713 4799 6 rectilinear rectilinear JJ 39713 4799 7 propagation propagation NN 39713 4799 8 of of IN 39713 4799 9 light light NN 39713 4799 10 have have VBP 39713 4799 11 also also RB 39713 4799 12 contributed contribute VBN 39713 4799 13 to to IN 39713 4799 14 the the DT 39713 4799 15 formation formation NN 39713 4799 16 of of IN 39713 4799 17 its -PRON- PRP$ 39713 4799 18 principles principle NNS 39713 4799 19 . . . 39713 4800 1 Must Must MD 39713 4800 2 geometry geometry NN 39713 4800 3 be be VB 39713 4800 4 regarded regard VBN 39713 4800 5 both both DT 39713 4800 6 as as IN 39713 4800 7 a a DT 39713 4800 8 branch branch NN 39713 4800 9 of of IN 39713 4800 10 kinematics kinematics NNPS 39713 4800 11 and and CC 39713 4800 12 as as IN 39713 4800 13 a a DT 39713 4800 14 branch branch NN 39713 4800 15 of of IN 39713 4800 16 optics optic NNS 39713 4800 17 ? ? . 39713 4801 1 I -PRON- PRP 39713 4801 2 recall recall VBP 39713 4801 3 besides besides IN 39713 4801 4 that that DT 39713 4801 5 our -PRON- PRP$ 39713 4801 6 Euclidean euclidean JJ 39713 4801 7 space space NN 39713 4801 8 which which WDT 39713 4801 9 is be VBZ 39713 4801 10 the the DT 39713 4801 11 proper proper JJ 39713 4801 12 object object NN 39713 4801 13 of of IN 39713 4801 14 geometry geometry NN 39713 4801 15 has have VBZ 39713 4801 16 been be VBN 39713 4801 17 chosen choose VBN 39713 4801 18 , , , 39713 4801 19 for for IN 39713 4801 20 reasons reason NNS 39713 4801 21 of of IN 39713 4801 22 convenience convenience NN 39713 4801 23 , , , 39713 4801 24 from from IN 39713 4801 25 among among IN 39713 4801 26 a a DT 39713 4801 27 certain certain JJ 39713 4801 28 number number NN 39713 4801 29 of of IN 39713 4801 30 types type NNS 39713 4801 31 which which WDT 39713 4801 32 preexist preexist VBP 39713 4801 33 in in IN 39713 4801 34 our -PRON- PRP$ 39713 4801 35 mind mind NN 39713 4801 36 and and CC 39713 4801 37 which which WDT 39713 4801 38 are be VBP 39713 4801 39 called call VBN 39713 4801 40 groups group NNS 39713 4801 41 . . . 39713 4802 1 If if IN 39713 4802 2 we -PRON- PRP 39713 4802 3 pass pass VBP 39713 4802 4 to to IN 39713 4802 5 mechanics mechanic NNS 39713 4802 6 , , , 39713 4802 7 we -PRON- PRP 39713 4802 8 still still RB 39713 4802 9 see see VBP 39713 4802 10 great great JJ 39713 4802 11 principles principle NNS 39713 4802 12 whose whose WP$ 39713 4802 13 origin origin NN 39713 4802 14 is be VBZ 39713 4802 15 analogous analogous JJ 39713 4802 16 , , , 39713 4802 17 and and CC 39713 4802 18 , , , 39713 4802 19 as as IN 39713 4802 20 their -PRON- PRP$ 39713 4802 21 ' ' `` 39713 4802 22 radius radius NN 39713 4802 23 of of IN 39713 4802 24 action action NN 39713 4802 25 , , , 39713 4802 26 ' ' '' 39713 4802 27 so so RB 39713 4802 28 to to TO 39713 4802 29 speak speak VB 39713 4802 30 , , , 39713 4802 31 is be VBZ 39713 4802 32 smaller small JJR 39713 4802 33 , , , 39713 4802 34 there there EX 39713 4802 35 is be VBZ 39713 4802 36 no no DT 39713 4802 37 longer long JJR 39713 4802 38 reason reason NN 39713 4802 39 to to TO 39713 4802 40 separate separate VB 39713 4802 41 them -PRON- PRP 39713 4802 42 from from IN 39713 4802 43 mechanics mechanic NNS 39713 4802 44 proper proper JJ 39713 4802 45 and and CC 39713 4802 46 to to TO 39713 4802 47 regard regard VB 39713 4802 48 this this DT 39713 4802 49 science science NN 39713 4802 50 as as IN 39713 4802 51 deductive deductive NN 39713 4802 52 . . . 39713 4803 1 In in IN 39713 4803 2 physics physics NN 39713 4803 3 , , , 39713 4803 4 finally finally RB 39713 4803 5 , , , 39713 4803 6 the the DT 39713 4803 7 rôle rôle NN 39713 4803 8 of of IN 39713 4803 9 the the DT 39713 4803 10 principles principle NNS 39713 4803 11 is be VBZ 39713 4803 12 still still RB 39713 4803 13 more more RBR 39713 4803 14 diminished diminished JJ 39713 4803 15 . . . 39713 4804 1 And and CC 39713 4804 2 in in IN 39713 4804 3 fact fact NN 39713 4804 4 they -PRON- PRP 39713 4804 5 are be VBP 39713 4804 6 only only RB 39713 4804 7 introduced introduce VBN 39713 4804 8 when when WRB 39713 4804 9 it -PRON- PRP 39713 4804 10 is be VBZ 39713 4804 11 of of IN 39713 4804 12 advantage advantage NN 39713 4804 13 . . . 39713 4805 1 Now now RB 39713 4805 2 they -PRON- PRP 39713 4805 3 are be VBP 39713 4805 4 advantageous advantageous JJ 39713 4805 5 precisely precisely RB 39713 4805 6 because because IN 39713 4805 7 they -PRON- PRP 39713 4805 8 are be VBP 39713 4805 9 few few JJ 39713 4805 10 , , , 39713 4805 11 since since IN 39713 4805 12 each each DT 39713 4805 13 of of IN 39713 4805 14 them -PRON- PRP 39713 4805 15 very very RB 39713 4805 16 nearly nearly RB 39713 4805 17 replaces replace VBZ 39713 4805 18 a a DT 39713 4805 19 great great JJ 39713 4805 20 number number NN 39713 4805 21 of of IN 39713 4805 22 laws law NNS 39713 4805 23 . . . 39713 4806 1 Therefore therefore RB 39713 4806 2 it -PRON- PRP 39713 4806 3 is be VBZ 39713 4806 4 not not RB 39713 4806 5 of of IN 39713 4806 6 interest interest NN 39713 4806 7 to to TO 39713 4806 8 multiply multiply VB 39713 4806 9 them -PRON- PRP 39713 4806 10 . . . 39713 4807 1 Besides besides IN 39713 4807 2 an an DT 39713 4807 3 outcome outcome NN 39713 4807 4 is be VBZ 39713 4807 5 necessary necessary JJ 39713 4807 6 , , , 39713 4807 7 and and CC 39713 4807 8 for for IN 39713 4807 9 that that DT 39713 4807 10 it -PRON- PRP 39713 4807 11 is be VBZ 39713 4807 12 needful needful JJ 39713 4807 13 to to TO 39713 4807 14 end end VB 39713 4807 15 by by IN 39713 4807 16 leaving leave VBG 39713 4807 17 abstraction abstraction NN 39713 4807 18 to to TO 39713 4807 19 take take VB 39713 4807 20 hold hold NN 39713 4807 21 of of IN 39713 4807 22 reality reality NN 39713 4807 23 . . . 39713 4808 1 Such such JJ 39713 4808 2 are be VBP 39713 4808 3 the the DT 39713 4808 4 limits limit NNS 39713 4808 5 of of IN 39713 4808 6 nominalism nominalism NN 39713 4808 7 , , , 39713 4808 8 and and CC 39713 4808 9 they -PRON- PRP 39713 4808 10 are be VBP 39713 4808 11 narrow narrow JJ 39713 4808 12 . . . 39713 4809 1 M. M. NNP 39713 4809 2 LeRoy LeRoy NNP 39713 4809 3 has have VBZ 39713 4809 4 insisted insist VBN 39713 4809 5 , , , 39713 4809 6 however however RB 39713 4809 7 , , , 39713 4809 8 and and CC 39713 4809 9 he -PRON- PRP 39713 4809 10 has have VBZ 39713 4809 11 put put VBN 39713 4809 12 the the DT 39713 4809 13 question question NN 39713 4809 14 under under IN 39713 4809 15 another another DT 39713 4809 16 form form NN 39713 4809 17 . . . 39713 4810 1 Since since IN 39713 4810 2 the the DT 39713 4810 3 enunciation enunciation NN 39713 4810 4 of of IN 39713 4810 5 our -PRON- PRP$ 39713 4810 6 laws law NNS 39713 4810 7 may may MD 39713 4810 8 vary vary VB 39713 4810 9 with with IN 39713 4810 10 the the DT 39713 4810 11 conventions convention NNS 39713 4810 12 that that WDT 39713 4810 13 we -PRON- PRP 39713 4810 14 adopt adopt VBP 39713 4810 15 , , , 39713 4810 16 since since IN 39713 4810 17 these these DT 39713 4810 18 conventions convention NNS 39713 4810 19 may may MD 39713 4810 20 modify modify VB 39713 4810 21 even even RB 39713 4810 22 the the DT 39713 4810 23 natural natural JJ 39713 4810 24 relations relation NNS 39713 4810 25 of of IN 39713 4810 26 these these DT 39713 4810 27 laws law NNS 39713 4810 28 , , , 39713 4810 29 is be VBZ 39713 4810 30 there there RB 39713 4810 31 in in IN 39713 4810 32 the the DT 39713 4810 33 manifold manifold NN 39713 4810 34 of of IN 39713 4810 35 these these DT 39713 4810 36 laws law NNS 39713 4810 37 something something NN 39713 4810 38 independent independent JJ 39713 4810 39 of of IN 39713 4810 40 these these DT 39713 4810 41 conventions convention NNS 39713 4810 42 and and CC 39713 4810 43 which which WDT 39713 4810 44 may may MD 39713 4810 45 , , , 39713 4810 46 so so RB 39713 4810 47 to to TO 39713 4810 48 speak speak VB 39713 4810 49 , , , 39713 4810 50 play play VB 39713 4810 51 the the DT 39713 4810 52 rôle rôle NN 39713 4810 53 of of IN 39713 4810 54 _ _ NNP 39713 4810 55 universal universal JJ 39713 4810 56 invariant invariant NN 39713 4810 57 _ _ NNP 39713 4810 58 ? ? . 39713 4811 1 For for IN 39713 4811 2 instance instance NN 39713 4811 3 , , , 39713 4811 4 the the DT 39713 4811 5 fiction fiction NN 39713 4811 6 has have VBZ 39713 4811 7 been be VBN 39713 4811 8 introduced introduce VBN 39713 4811 9 of of IN 39713 4811 10 beings being NNS 39713 4811 11 who who WP 39713 4811 12 , , , 39713 4811 13 having have VBG 39713 4811 14 been be VBN 39713 4811 15 educated educate VBN 39713 4811 16 in in IN 39713 4811 17 a a DT 39713 4811 18 world world NN 39713 4811 19 different different JJ 39713 4811 20 from from IN 39713 4811 21 ours -PRON- PRP 39713 4811 22 , , , 39713 4811 23 would would MD 39713 4811 24 have have VB 39713 4811 25 been be VBN 39713 4811 26 led lead VBN 39713 4811 27 to to TO 39713 4811 28 create create VB 39713 4811 29 a a DT 39713 4811 30 non non JJ 39713 4811 31 - - JJ 39713 4811 32 Euclidean euclidean JJ 39713 4811 33 geometry geometry NN 39713 4811 34 . . . 39713 4812 1 If if IN 39713 4812 2 these these DT 39713 4812 3 beings being NNS 39713 4812 4 were be VBD 39713 4812 5 afterward afterward RB 39713 4812 6 suddenly suddenly RB 39713 4812 7 transported transport VBN 39713 4812 8 into into IN 39713 4812 9 our -PRON- PRP$ 39713 4812 10 world world NN 39713 4812 11 , , , 39713 4812 12 they -PRON- PRP 39713 4812 13 would would MD 39713 4812 14 observe observe VB 39713 4812 15 the the DT 39713 4812 16 same same JJ 39713 4812 17 laws law NNS 39713 4812 18 as as IN 39713 4812 19 we -PRON- PRP 39713 4812 20 , , , 39713 4812 21 but but CC 39713 4812 22 they -PRON- PRP 39713 4812 23 would would MD 39713 4812 24 enunciate enunciate VB 39713 4812 25 them -PRON- PRP 39713 4812 26 in in IN 39713 4812 27 an an DT 39713 4812 28 entirely entirely RB 39713 4812 29 different different JJ 39713 4812 30 way way NN 39713 4812 31 . . . 39713 4813 1 In in IN 39713 4813 2 truth truth NN 39713 4813 3 there there EX 39713 4813 4 would would MD 39713 4813 5 still still RB 39713 4813 6 be be VB 39713 4813 7 something something NN 39713 4813 8 in in IN 39713 4813 9 common common JJ 39713 4813 10 between between IN 39713 4813 11 the the DT 39713 4813 12 two two CD 39713 4813 13 enunciations enunciation NNS 39713 4813 14 , , , 39713 4813 15 but but CC 39713 4813 16 this this DT 39713 4813 17 is be VBZ 39713 4813 18 because because IN 39713 4813 19 these these DT 39713 4813 20 beings being NNS 39713 4813 21 do do VBP 39713 4813 22 not not RB 39713 4813 23 yet yet RB 39713 4813 24 differ differ VB 39713 4813 25 enough enough RB 39713 4813 26 from from IN 39713 4813 27 us -PRON- PRP 39713 4813 28 . . . 39713 4814 1 Beings being NNS 39713 4814 2 still still RB 39713 4814 3 more more RBR 39713 4814 4 strange strange JJ 39713 4814 5 may may MD 39713 4814 6 be be VB 39713 4814 7 imagined imagine VBN 39713 4814 8 , , , 39713 4814 9 and and CC 39713 4814 10 the the DT 39713 4814 11 part part NN 39713 4814 12 common common JJ 39713 4814 13 to to IN 39713 4814 14 the the DT 39713 4814 15 two two CD 39713 4814 16 systems system NNS 39713 4814 17 of of IN 39713 4814 18 enunciations enunciation NNS 39713 4814 19 will will MD 39713 4814 20 shrink shrink VB 39713 4814 21 more more JJR 39713 4814 22 and and CC 39713 4814 23 more more RBR 39713 4814 24 . . . 39713 4815 1 Will Will MD 39713 4815 2 it -PRON- PRP 39713 4815 3 thus thus RB 39713 4815 4 shrink shrink VB 39713 4815 5 in in IN 39713 4815 6 convergence convergence NN 39713 4815 7 toward toward IN 39713 4815 8 zero zero CD 39713 4815 9 , , , 39713 4815 10 or or CC 39713 4815 11 will will MD 39713 4815 12 there there EX 39713 4815 13 remain remain VB 39713 4815 14 an an DT 39713 4815 15 irreducible irreducible JJ 39713 4815 16 residue residue NN 39713 4815 17 which which WDT 39713 4815 18 will will MD 39713 4815 19 then then RB 39713 4815 20 be be VB 39713 4815 21 the the DT 39713 4815 22 universal universal JJ 39713 4815 23 invariant invariant NN 39713 4815 24 sought seek VBN 39713 4815 25 ? ? . 39713 4816 1 The the DT 39713 4816 2 question question NN 39713 4816 3 calls call VBZ 39713 4816 4 for for IN 39713 4816 5 precise precise JJ 39713 4816 6 statement statement NN 39713 4816 7 . . . 39713 4817 1 Is be VBZ 39713 4817 2 it -PRON- PRP 39713 4817 3 desired desire VBN 39713 4817 4 that that IN 39713 4817 5 this this DT 39713 4817 6 common common JJ 39713 4817 7 part part NN 39713 4817 8 of of IN 39713 4817 9 the the DT 39713 4817 10 enunciations enunciation NNS 39713 4817 11 be be VB 39713 4817 12 expressible expressible JJ 39713 4817 13 in in IN 39713 4817 14 words word NNS 39713 4817 15 ? ? . 39713 4818 1 It -PRON- PRP 39713 4818 2 is be VBZ 39713 4818 3 clear clear JJ 39713 4818 4 , , , 39713 4818 5 then then RB 39713 4818 6 , , , 39713 4818 7 that that IN 39713 4818 8 there there EX 39713 4818 9 are be VBP 39713 4818 10 not not RB 39713 4818 11 words word NNS 39713 4818 12 common common JJ 39713 4818 13 to to IN 39713 4818 14 all all DT 39713 4818 15 languages language NNS 39713 4818 16 , , , 39713 4818 17 and and CC 39713 4818 18 we -PRON- PRP 39713 4818 19 can can MD 39713 4818 20 not not RB 39713 4818 21 pretend pretend VB 39713 4818 22 to to TO 39713 4818 23 construct construct VB 39713 4818 24 I -PRON- PRP 39713 4818 25 know know VBP 39713 4818 26 not not RB 39713 4818 27 what what WP 39713 4818 28 universal universal JJ 39713 4818 29 invariant invariant NN 39713 4818 30 which which WDT 39713 4818 31 should should MD 39713 4818 32 be be VB 39713 4818 33 understood understand VBN 39713 4818 34 both both DT 39713 4818 35 by by IN 39713 4818 36 us -PRON- PRP 39713 4818 37 and and CC 39713 4818 38 by by IN 39713 4818 39 the the DT 39713 4818 40 fictitious fictitious JJ 39713 4818 41 non non JJ 39713 4818 42 - - JJ 39713 4818 43 Euclidean euclidean JJ 39713 4818 44 geometers geometer NNS 39713 4818 45 of of IN 39713 4818 46 whom whom WP 39713 4818 47 I -PRON- PRP 39713 4818 48 have have VBP 39713 4818 49 just just RB 39713 4818 50 spoken speak VBN 39713 4818 51 ; ; : 39713 4818 52 no no DT 39713 4818 53 more more JJR 39713 4818 54 than than IN 39713 4818 55 we -PRON- PRP 39713 4818 56 can can MD 39713 4818 57 construct construct VB 39713 4818 58 a a DT 39713 4818 59 phrase phrase NN 39713 4818 60 which which WDT 39713 4818 61 can can MD 39713 4818 62 be be VB 39713 4818 63 understood understand VBN 39713 4818 64 both both DT 39713 4818 65 by by IN 39713 4818 66 Germans Germans NNPS 39713 4818 67 who who WP 39713 4818 68 do do VBP 39713 4818 69 not not RB 39713 4818 70 understand understand VB 39713 4818 71 French French NNP 39713 4818 72 and and CC 39713 4818 73 by by IN 39713 4818 74 French French NNP 39713 4818 75 who who WP 39713 4818 76 do do VBP 39713 4818 77 not not RB 39713 4818 78 understand understand VB 39713 4818 79 German german JJ 39713 4818 80 . . . 39713 4819 1 But but CC 39713 4819 2 we -PRON- PRP 39713 4819 3 have have VBP 39713 4819 4 fixed fix VBN 39713 4819 5 rules rule NNS 39713 4819 6 which which WDT 39713 4819 7 permit permit VBP 39713 4819 8 us -PRON- PRP 39713 4819 9 to to TO 39713 4819 10 translate translate VB 39713 4819 11 the the DT 39713 4819 12 French french JJ 39713 4819 13 enunciations enunciation NNS 39713 4819 14 into into IN 39713 4819 15 German German NNP 39713 4819 16 , , , 39713 4819 17 and and CC 39713 4819 18 inversely inversely RB 39713 4819 19 . . . 39713 4820 1 It -PRON- PRP 39713 4820 2 is be VBZ 39713 4820 3 for for IN 39713 4820 4 that that DT 39713 4820 5 that that DT 39713 4820 6 grammars grammar NNS 39713 4820 7 and and CC 39713 4820 8 dictionaries dictionary NNS 39713 4820 9 have have VBP 39713 4820 10 been be VBN 39713 4820 11 made make VBN 39713 4820 12 . . . 39713 4821 1 There there EX 39713 4821 2 are be VBP 39713 4821 3 also also RB 39713 4821 4 fixed fix VBN 39713 4821 5 rules rule NNS 39713 4821 6 for for IN 39713 4821 7 translating translate VBG 39713 4821 8 the the DT 39713 4821 9 Euclidean euclidean JJ 39713 4821 10 language language NN 39713 4821 11 into into IN 39713 4821 12 the the DT 39713 4821 13 non non JJ 39713 4821 14 - - JJ 39713 4821 15 Euclidean euclidean JJ 39713 4821 16 language language NN 39713 4821 17 , , , 39713 4821 18 or or CC 39713 4821 19 , , , 39713 4821 20 if if IN 39713 4821 21 there there EX 39713 4821 22 are be VBP 39713 4821 23 not not RB 39713 4821 24 , , , 39713 4821 25 they -PRON- PRP 39713 4821 26 could could MD 39713 4821 27 be be VB 39713 4821 28 made make VBN 39713 4821 29 . . . 39713 4822 1 And and CC 39713 4822 2 even even RB 39713 4822 3 if if IN 39713 4822 4 there there EX 39713 4822 5 were be VBD 39713 4822 6 neither neither CC 39713 4822 7 interpreter interpreter NN 39713 4822 8 nor nor CC 39713 4822 9 dictionary dictionary JJ 39713 4822 10 , , , 39713 4822 11 if if IN 39713 4822 12 the the DT 39713 4822 13 Germans Germans NNPS 39713 4822 14 and and CC 39713 4822 15 the the DT 39713 4822 16 French French NNP 39713 4822 17 , , , 39713 4822 18 after after IN 39713 4822 19 having have VBG 39713 4822 20 lived live VBN 39713 4822 21 centuries century NNS 39713 4822 22 in in IN 39713 4822 23 separate separate JJ 39713 4822 24 worlds world NNS 39713 4822 25 , , , 39713 4822 26 found find VBD 39713 4822 27 themselves -PRON- PRP 39713 4822 28 all all DT 39713 4822 29 at at IN 39713 4822 30 once once RB 39713 4822 31 in in IN 39713 4822 32 contact contact NN 39713 4822 33 , , , 39713 4822 34 do do VBP 39713 4822 35 you -PRON- PRP 39713 4822 36 think think VB 39713 4822 37 there there EX 39713 4822 38 would would MD 39713 4822 39 be be VB 39713 4822 40 nothing nothing NN 39713 4822 41 in in IN 39713 4822 42 common common JJ 39713 4822 43 between between IN 39713 4822 44 the the DT 39713 4822 45 science science NN 39713 4822 46 of of IN 39713 4822 47 the the DT 39713 4822 48 German german JJ 39713 4822 49 books book NNS 39713 4822 50 and and CC 39713 4822 51 that that DT 39713 4822 52 of of IN 39713 4822 53 the the DT 39713 4822 54 French french JJ 39713 4822 55 books book NNS 39713 4822 56 ? ? . 39713 4823 1 The the DT 39713 4823 2 French French NNP 39713 4823 3 and and CC 39713 4823 4 the the DT 39713 4823 5 Germans Germans NNPS 39713 4823 6 would would MD 39713 4823 7 certainly certainly RB 39713 4823 8 end end VB 39713 4823 9 by by IN 39713 4823 10 understanding understand VBG 39713 4823 11 each each DT 39713 4823 12 other other JJ 39713 4823 13 , , , 39713 4823 14 as as IN 39713 4823 15 the the DT 39713 4823 16 American American NNP 39713 4823 17 Indians Indians NNPS 39713 4823 18 ended end VBD 39713 4823 19 by by IN 39713 4823 20 understanding understand VBG 39713 4823 21 the the DT 39713 4823 22 language language NN 39713 4823 23 of of IN 39713 4823 24 their -PRON- PRP$ 39713 4823 25 conquerors conqueror NNS 39713 4823 26 after after IN 39713 4823 27 the the DT 39713 4823 28 arrival arrival NN 39713 4823 29 of of IN 39713 4823 30 the the DT 39713 4823 31 Spanish Spanish NNP 39713 4823 32 . . . 39713 4824 1 But but CC 39713 4824 2 , , , 39713 4824 3 it -PRON- PRP 39713 4824 4 will will MD 39713 4824 5 be be VB 39713 4824 6 said say VBN 39713 4824 7 , , , 39713 4824 8 doubtless doubtless RB 39713 4824 9 the the DT 39713 4824 10 French French NNPS 39713 4824 11 would would MD 39713 4824 12 be be VB 39713 4824 13 capable capable JJ 39713 4824 14 of of IN 39713 4824 15 understanding understand VBG 39713 4824 16 the the DT 39713 4824 17 Germans Germans NNPS 39713 4824 18 even even RB 39713 4824 19 without without IN 39713 4824 20 having have VBG 39713 4824 21 learned learn VBN 39713 4824 22 German German NNP 39713 4824 23 , , , 39713 4824 24 but but CC 39713 4824 25 this this DT 39713 4824 26 is be VBZ 39713 4824 27 because because IN 39713 4824 28 there there EX 39713 4824 29 remains remain VBZ 39713 4824 30 between between IN 39713 4824 31 the the DT 39713 4824 32 French French NNP 39713 4824 33 and and CC 39713 4824 34 the the DT 39713 4824 35 Germans Germans NNPS 39713 4824 36 something something NN 39713 4824 37 in in IN 39713 4824 38 common common JJ 39713 4824 39 , , , 39713 4824 40 since since IN 39713 4824 41 both both DT 39713 4824 42 are be VBP 39713 4824 43 men man NNS 39713 4824 44 . . . 39713 4825 1 We -PRON- PRP 39713 4825 2 should should MD 39713 4825 3 still still RB 39713 4825 4 attain attain VB 39713 4825 5 to to IN 39713 4825 6 an an DT 39713 4825 7 understanding understanding NN 39713 4825 8 with with IN 39713 4825 9 our -PRON- PRP$ 39713 4825 10 hypothetical hypothetical JJ 39713 4825 11 non non NNS 39713 4825 12 - - NNS 39713 4825 13 Euclideans Euclideans NNPS 39713 4825 14 , , , 39713 4825 15 though though IN 39713 4825 16 they -PRON- PRP 39713 4825 17 be be VBP 39713 4825 18 not not RB 39713 4825 19 men man NNS 39713 4825 20 , , , 39713 4825 21 because because IN 39713 4825 22 they -PRON- PRP 39713 4825 23 would would MD 39713 4825 24 still still RB 39713 4825 25 retain retain VB 39713 4825 26 something something NN 39713 4825 27 human human JJ 39713 4825 28 . . . 39713 4826 1 But but CC 39713 4826 2 in in IN 39713 4826 3 any any DT 39713 4826 4 case case NN 39713 4826 5 a a DT 39713 4826 6 minimum minimum NN 39713 4826 7 of of IN 39713 4826 8 humanity humanity NN 39713 4826 9 is be VBZ 39713 4826 10 necessary necessary JJ 39713 4826 11 . . . 39713 4827 1 This this DT 39713 4827 2 is be VBZ 39713 4827 3 possible possible JJ 39713 4827 4 , , , 39713 4827 5 but but CC 39713 4827 6 I -PRON- PRP 39713 4827 7 shall shall MD 39713 4827 8 observe observe VB 39713 4827 9 first first RB 39713 4827 10 that that IN 39713 4827 11 this this DT 39713 4827 12 little little JJ 39713 4827 13 humanness humanness NN 39713 4827 14 which which WDT 39713 4827 15 would would MD 39713 4827 16 remain remain VB 39713 4827 17 in in IN 39713 4827 18 the the DT 39713 4827 19 non non NNS 39713 4827 20 - - NNS 39713 4827 21 Euclideans Euclideans NNPS 39713 4827 22 would would MD 39713 4827 23 suffice suffice VB 39713 4827 24 not not RB 39713 4827 25 only only RB 39713 4827 26 to to TO 39713 4827 27 make make VB 39713 4827 28 possible possible JJ 39713 4827 29 the the DT 39713 4827 30 translation translation NN 39713 4827 31 of of IN 39713 4827 32 _ _ NNP 39713 4827 33 a a DT 39713 4827 34 little little JJ 39713 4827 35 _ _ NN 39713 4827 36 of of IN 39713 4827 37 their -PRON- PRP$ 39713 4827 38 language language NN 39713 4827 39 , , , 39713 4827 40 but but CC 39713 4827 41 to to TO 39713 4827 42 make make VB 39713 4827 43 possible possible JJ 39713 4827 44 the the DT 39713 4827 45 translation translation NN 39713 4827 46 of of IN 39713 4827 47 _ _ NNP 39713 4827 48 all all DT 39713 4827 49 _ _ NNP 39713 4827 50 their -PRON- PRP$ 39713 4827 51 language language NN 39713 4827 52 . . . 39713 4828 1 Now now RB 39713 4828 2 , , , 39713 4828 3 that that IN 39713 4828 4 there there EX 39713 4828 5 must must MD 39713 4828 6 be be VB 39713 4828 7 a a DT 39713 4828 8 minimum minimum NN 39713 4828 9 is be VBZ 39713 4828 10 what what WP 39713 4828 11 I -PRON- PRP 39713 4828 12 concede concede VBP 39713 4828 13 ; ; : 39713 4828 14 suppose suppose VB 39713 4828 15 there there EX 39713 4828 16 exists exist VBZ 39713 4828 17 I -PRON- PRP 39713 4828 18 know know VBP 39713 4828 19 not not RB 39713 4828 20 what what WP 39713 4828 21 fluid fluid NN 39713 4828 22 which which WDT 39713 4828 23 penetrates penetrate VBZ 39713 4828 24 between between IN 39713 4828 25 the the DT 39713 4828 26 molecules molecule NNS 39713 4828 27 of of IN 39713 4828 28 our -PRON- PRP$ 39713 4828 29 matter matter NN 39713 4828 30 , , , 39713 4828 31 without without IN 39713 4828 32 having have VBG 39713 4828 33 any any DT 39713 4828 34 action action NN 39713 4828 35 on on IN 39713 4828 36 it -PRON- PRP 39713 4828 37 and and CC 39713 4828 38 without without IN 39713 4828 39 being be VBG 39713 4828 40 subject subject JJ 39713 4828 41 to to IN 39713 4828 42 any any DT 39713 4828 43 action action NN 39713 4828 44 coming come VBG 39713 4828 45 from from IN 39713 4828 46 it -PRON- PRP 39713 4828 47 . . . 39713 4829 1 Suppose suppose VB 39713 4829 2 beings being NNS 39713 4829 3 sensible sensible JJ 39713 4829 4 to to IN 39713 4829 5 the the DT 39713 4829 6 influence influence NN 39713 4829 7 of of IN 39713 4829 8 this this DT 39713 4829 9 fluid fluid JJ 39713 4829 10 and and CC 39713 4829 11 insensible insensible JJ 39713 4829 12 to to IN 39713 4829 13 that that DT 39713 4829 14 of of IN 39713 4829 15 our -PRON- PRP$ 39713 4829 16 matter matter NN 39713 4829 17 . . . 39713 4830 1 It -PRON- PRP 39713 4830 2 is be VBZ 39713 4830 3 clear clear JJ 39713 4830 4 that that IN 39713 4830 5 the the DT 39713 4830 6 science science NN 39713 4830 7 of of IN 39713 4830 8 these these DT 39713 4830 9 beings being NNS 39713 4830 10 would would MD 39713 4830 11 differ differ VB 39713 4830 12 absolutely absolutely RB 39713 4830 13 from from IN 39713 4830 14 ours -PRON- PRP 39713 4830 15 and and CC 39713 4830 16 that that IN 39713 4830 17 it -PRON- PRP 39713 4830 18 would would MD 39713 4830 19 be be VB 39713 4830 20 idle idle JJ 39713 4830 21 to to TO 39713 4830 22 seek seek VB 39713 4830 23 an an DT 39713 4830 24 ' ' `` 39713 4830 25 invariant invariant JJ 39713 4830 26 ' ' '' 39713 4830 27 common common JJ 39713 4830 28 to to IN 39713 4830 29 these these DT 39713 4830 30 two two CD 39713 4830 31 sciences science NNS 39713 4830 32 . . . 39713 4831 1 Or or CC 39713 4831 2 again again RB 39713 4831 3 , , , 39713 4831 4 if if IN 39713 4831 5 these these DT 39713 4831 6 beings being NNS 39713 4831 7 rejected reject VBD 39713 4831 8 our -PRON- PRP$ 39713 4831 9 logic logic NN 39713 4831 10 and and CC 39713 4831 11 did do VBD 39713 4831 12 not not RB 39713 4831 13 admit admit VB 39713 4831 14 , , , 39713 4831 15 for for IN 39713 4831 16 instance instance NN 39713 4831 17 , , , 39713 4831 18 the the DT 39713 4831 19 principle principle NN 39713 4831 20 of of IN 39713 4831 21 contradiction contradiction NN 39713 4831 22 . . . 39713 4832 1 But but CC 39713 4832 2 truly truly RB 39713 4832 3 I -PRON- PRP 39713 4832 4 think think VBP 39713 4832 5 it -PRON- PRP 39713 4832 6 without without IN 39713 4832 7 interest interest NN 39713 4832 8 to to TO 39713 4832 9 examine examine VB 39713 4832 10 such such JJ 39713 4832 11 hypotheses hypothesis NNS 39713 4832 12 . . . 39713 4833 1 And and CC 39713 4833 2 then then RB 39713 4833 3 , , , 39713 4833 4 if if IN 39713 4833 5 we -PRON- PRP 39713 4833 6 do do VBP 39713 4833 7 not not RB 39713 4833 8 push push VB 39713 4833 9 whimsicality whimsicality NN 39713 4833 10 so so RB 39713 4833 11 far far RB 39713 4833 12 , , , 39713 4833 13 if if IN 39713 4833 14 we -PRON- PRP 39713 4833 15 introduce introduce VBP 39713 4833 16 only only RB 39713 4833 17 fictitious fictitious JJ 39713 4833 18 beings being NNS 39713 4833 19 having have VBG 39713 4833 20 senses sense NNS 39713 4833 21 analogous analogous JJ 39713 4833 22 to to IN 39713 4833 23 ours -PRON- PRP 39713 4833 24 and and CC 39713 4833 25 sensible sensible JJ 39713 4833 26 to to IN 39713 4833 27 the the DT 39713 4833 28 same same JJ 39713 4833 29 impressions impression NNS 39713 4833 30 , , , 39713 4833 31 and and CC 39713 4833 32 moreover moreover RB 39713 4833 33 admitting admit VBG 39713 4833 34 the the DT 39713 4833 35 principles principle NNS 39713 4833 36 of of IN 39713 4833 37 our -PRON- PRP$ 39713 4833 38 logic logic NN 39713 4833 39 , , , 39713 4833 40 we -PRON- PRP 39713 4833 41 shall shall MD 39713 4833 42 then then RB 39713 4833 43 be be VB 39713 4833 44 able able JJ 39713 4833 45 to to TO 39713 4833 46 conclude conclude VB 39713 4833 47 that that IN 39713 4833 48 their -PRON- PRP$ 39713 4833 49 language language NN 39713 4833 50 , , , 39713 4833 51 however however RB 39713 4833 52 different different JJ 39713 4833 53 from from IN 39713 4833 54 ours -PRON- PRP 39713 4833 55 it -PRON- PRP 39713 4833 56 may may MD 39713 4833 57 be be VB 39713 4833 58 , , , 39713 4833 59 would would MD 39713 4833 60 always always RB 39713 4833 61 be be VB 39713 4833 62 capable capable JJ 39713 4833 63 of of IN 39713 4833 64 translation translation NN 39713 4833 65 . . . 39713 4834 1 Now now RB 39713 4834 2 the the DT 39713 4834 3 possibility possibility NN 39713 4834 4 of of IN 39713 4834 5 translation translation NN 39713 4834 6 implies imply VBZ 39713 4834 7 the the DT 39713 4834 8 existence existence NN 39713 4834 9 of of IN 39713 4834 10 an an DT 39713 4834 11 invariant invariant NN 39713 4834 12 . . . 39713 4835 1 To to TO 39713 4835 2 translate translate VB 39713 4835 3 is be VBZ 39713 4835 4 precisely precisely RB 39713 4835 5 to to TO 39713 4835 6 disengage disengage VB 39713 4835 7 this this DT 39713 4835 8 invariant invariant NN 39713 4835 9 . . . 39713 4836 1 Thus thus RB 39713 4836 2 , , , 39713 4836 3 to to TO 39713 4836 4 decipher decipher VB 39713 4836 5 a a DT 39713 4836 6 cryptogram cryptogram NN 39713 4836 7 is be VBZ 39713 4836 8 to to TO 39713 4836 9 seek seek VB 39713 4836 10 what what WP 39713 4836 11 in in IN 39713 4836 12 this this DT 39713 4836 13 document document NN 39713 4836 14 remains remain VBZ 39713 4836 15 invariant invariant JJ 39713 4836 16 , , , 39713 4836 17 when when WRB 39713 4836 18 the the DT 39713 4836 19 letters letter NNS 39713 4836 20 are be VBP 39713 4836 21 permuted permute VBN 39713 4836 22 . . . 39713 4837 1 What what WP 39713 4837 2 now now RB 39713 4837 3 is be VBZ 39713 4837 4 the the DT 39713 4837 5 nature nature NN 39713 4837 6 of of IN 39713 4837 7 this this DT 39713 4837 8 invariant invariant JJ 39713 4837 9 it -PRON- PRP 39713 4837 10 is be VBZ 39713 4837 11 easy easy JJ 39713 4837 12 to to TO 39713 4837 13 understand understand VB 39713 4837 14 , , , 39713 4837 15 and and CC 39713 4837 16 a a DT 39713 4837 17 word word NN 39713 4837 18 will will MD 39713 4837 19 suffice suffice VB 39713 4837 20 us -PRON- PRP 39713 4837 21 . . . 39713 4838 1 The the DT 39713 4838 2 invariant invariant JJ 39713 4838 3 laws law NNS 39713 4838 4 are be VBP 39713 4838 5 the the DT 39713 4838 6 relations relation NNS 39713 4838 7 between between IN 39713 4838 8 the the DT 39713 4838 9 crude crude JJ 39713 4838 10 facts fact NNS 39713 4838 11 , , , 39713 4838 12 while while IN 39713 4838 13 the the DT 39713 4838 14 relations relation NNS 39713 4838 15 between between IN 39713 4838 16 the the DT 39713 4838 17 ' ' `` 39713 4838 18 scientific scientific JJ 39713 4838 19 facts fact NNS 39713 4838 20 ' ' POS 39713 4838 21 remain remain VBP 39713 4838 22 always always RB 39713 4838 23 dependent dependent JJ 39713 4838 24 on on IN 39713 4838 25 certain certain JJ 39713 4838 26 conventions convention NNS 39713 4838 27 . . . 39713 4839 1 CHAPTER chapter NN 39713 4839 2 XI XI NNP 39713 4839 3 SCIENCE SCIENCE NNP 39713 4839 4 AND and CC 39713 4839 5 REALITY REALITY NNP 39713 4839 6 5 5 CD 39713 4839 7 . . . 39713 4840 1 _ _ NNP 39713 4840 2 Contingence Contingence NNP 39713 4840 3 and and CC 39713 4840 4 Determinism Determinism NNP 39713 4840 5 _ _ NNP 39713 4840 6 I -PRON- PRP 39713 4840 7 do do VBP 39713 4840 8 not not RB 39713 4840 9 intend intend VB 39713 4840 10 to to TO 39713 4840 11 treat treat VB 39713 4840 12 here here RB 39713 4840 13 the the DT 39713 4840 14 question question NN 39713 4840 15 of of IN 39713 4840 16 the the DT 39713 4840 17 contingence contingence NN 39713 4840 18 of of IN 39713 4840 19 the the DT 39713 4840 20 laws law NNS 39713 4840 21 of of IN 39713 4840 22 nature nature NN 39713 4840 23 , , , 39713 4840 24 which which WDT 39713 4840 25 is be VBZ 39713 4840 26 evidently evidently RB 39713 4840 27 insoluble insoluble JJ 39713 4840 28 , , , 39713 4840 29 and and CC 39713 4840 30 on on IN 39713 4840 31 which which WDT 39713 4840 32 so so RB 39713 4840 33 much much JJ 39713 4840 34 has have VBZ 39713 4840 35 already already RB 39713 4840 36 been be VBN 39713 4840 37 written write VBN 39713 4840 38 . . . 39713 4841 1 I -PRON- PRP 39713 4841 2 only only RB 39713 4841 3 wish wish VBP 39713 4841 4 to to TO 39713 4841 5 call call VB 39713 4841 6 attention attention NN 39713 4841 7 to to IN 39713 4841 8 what what WP 39713 4841 9 different different JJ 39713 4841 10 meanings meaning NNS 39713 4841 11 have have VBP 39713 4841 12 been be VBN 39713 4841 13 given give VBN 39713 4841 14 to to IN 39713 4841 15 this this DT 39713 4841 16 word word NN 39713 4841 17 , , , 39713 4841 18 contingence contingence NN 39713 4841 19 , , , 39713 4841 20 and and CC 39713 4841 21 how how WRB 39713 4841 22 advantageous advantageous JJ 39713 4841 23 it -PRON- PRP 39713 4841 24 would would MD 39713 4841 25 be be VB 39713 4841 26 to to TO 39713 4841 27 distinguish distinguish VB 39713 4841 28 them -PRON- PRP 39713 4841 29 . . . 39713 4842 1 If if IN 39713 4842 2 we -PRON- PRP 39713 4842 3 look look VBP 39713 4842 4 at at IN 39713 4842 5 any any DT 39713 4842 6 particular particular JJ 39713 4842 7 law law NN 39713 4842 8 , , , 39713 4842 9 we -PRON- PRP 39713 4842 10 may may MD 39713 4842 11 be be VB 39713 4842 12 certain certain JJ 39713 4842 13 in in IN 39713 4842 14 advance advance NN 39713 4842 15 that that IN 39713 4842 16 it -PRON- PRP 39713 4842 17 can can MD 39713 4842 18 only only RB 39713 4842 19 be be VB 39713 4842 20 approximate approximate JJ 39713 4842 21 . . . 39713 4843 1 It -PRON- PRP 39713 4843 2 is be VBZ 39713 4843 3 , , , 39713 4843 4 in in IN 39713 4843 5 fact fact NN 39713 4843 6 , , , 39713 4843 7 deduced deduce VBN 39713 4843 8 from from IN 39713 4843 9 experimental experimental JJ 39713 4843 10 verifications verification NNS 39713 4843 11 , , , 39713 4843 12 and and CC 39713 4843 13 these these DT 39713 4843 14 verifications verification NNS 39713 4843 15 were be VBD 39713 4843 16 and and CC 39713 4843 17 could could MD 39713 4843 18 be be VB 39713 4843 19 only only RB 39713 4843 20 approximate approximate JJ 39713 4843 21 . . . 39713 4844 1 We -PRON- PRP 39713 4844 2 should should MD 39713 4844 3 always always RB 39713 4844 4 expect expect VB 39713 4844 5 that that IN 39713 4844 6 more more RBR 39713 4844 7 precise precise JJ 39713 4844 8 measurements measurement NNS 39713 4844 9 will will MD 39713 4844 10 oblige oblige VB 39713 4844 11 us -PRON- PRP 39713 4844 12 to to TO 39713 4844 13 add add VB 39713 4844 14 new new JJ 39713 4844 15 terms term NNS 39713 4844 16 to to IN 39713 4844 17 our -PRON- PRP$ 39713 4844 18 formulas formula NNS 39713 4844 19 ; ; : 39713 4844 20 this this DT 39713 4844 21 is be VBZ 39713 4844 22 what what WP 39713 4844 23 has have VBZ 39713 4844 24 happened happen VBN 39713 4844 25 , , , 39713 4844 26 for for IN 39713 4844 27 instance instance NN 39713 4844 28 , , , 39713 4844 29 in in IN 39713 4844 30 the the DT 39713 4844 31 case case NN 39713 4844 32 of of IN 39713 4844 33 Mariotte Mariotte NNP 39713 4844 34 's 's POS 39713 4844 35 law law NN 39713 4844 36 . . . 39713 4845 1 Moreover moreover RB 39713 4845 2 the the DT 39713 4845 3 statement statement NN 39713 4845 4 of of IN 39713 4845 5 any any DT 39713 4845 6 law law NN 39713 4845 7 is be VBZ 39713 4845 8 necessarily necessarily RB 39713 4845 9 incomplete incomplete JJ 39713 4845 10 . . . 39713 4846 1 This this DT 39713 4846 2 enunciation enunciation NN 39713 4846 3 should should MD 39713 4846 4 comprise comprise VB 39713 4846 5 the the DT 39713 4846 6 enumeration enumeration NN 39713 4846 7 of of IN 39713 4846 8 _ _ NNP 39713 4846 9 all all DT 39713 4846 10 _ _ NNP 39713 4846 11 the the DT 39713 4846 12 antecedents antecedent NNS 39713 4846 13 in in IN 39713 4846 14 virtue virtue NN 39713 4846 15 of of IN 39713 4846 16 which which WDT 39713 4846 17 a a DT 39713 4846 18 given give VBN 39713 4846 19 consequent consequent NN 39713 4846 20 can can MD 39713 4846 21 happen happen VB 39713 4846 22 . . . 39713 4847 1 I -PRON- PRP 39713 4847 2 should should MD 39713 4847 3 first first RB 39713 4847 4 describe describe VB 39713 4847 5 _ _ NNP 39713 4847 6 all all DT 39713 4847 7 _ _ NNP 39713 4847 8 the the DT 39713 4847 9 conditions condition NNS 39713 4847 10 of of IN 39713 4847 11 the the DT 39713 4847 12 experiment experiment NN 39713 4847 13 to to TO 39713 4847 14 be be VB 39713 4847 15 made make VBN 39713 4847 16 and and CC 39713 4847 17 the the DT 39713 4847 18 law law NN 39713 4847 19 would would MD 39713 4847 20 then then RB 39713 4847 21 be be VB 39713 4847 22 stated state VBN 39713 4847 23 : : : 39713 4847 24 If if IN 39713 4847 25 all all PDT 39713 4847 26 the the DT 39713 4847 27 conditions condition NNS 39713 4847 28 are be VBP 39713 4847 29 fulfilled fulfil VBN 39713 4847 30 , , , 39713 4847 31 the the DT 39713 4847 32 phenomenon phenomenon NN 39713 4847 33 will will MD 39713 4847 34 happen happen VB 39713 4847 35 . . . 39713 4848 1 But but CC 39713 4848 2 we -PRON- PRP 39713 4848 3 shall shall MD 39713 4848 4 be be VB 39713 4848 5 sure sure JJ 39713 4848 6 of of IN 39713 4848 7 not not RB 39713 4848 8 having have VBG 39713 4848 9 forgotten forget VBN 39713 4848 10 _ _ NNP 39713 4848 11 any any DT 39713 4848 12 _ _ NNP 39713 4848 13 of of IN 39713 4848 14 these these DT 39713 4848 15 conditions condition NNS 39713 4848 16 only only RB 39713 4848 17 when when WRB 39713 4848 18 we -PRON- PRP 39713 4848 19 shall shall MD 39713 4848 20 have have VB 39713 4848 21 described describe VBN 39713 4848 22 the the DT 39713 4848 23 state state NN 39713 4848 24 of of IN 39713 4848 25 the the DT 39713 4848 26 entire entire JJ 39713 4848 27 universe universe NN 39713 4848 28 at at IN 39713 4848 29 the the DT 39713 4848 30 instant instant NN 39713 4848 31 _ _ NNP 39713 4848 32 t t NNP 39713 4848 33 _ _ NNP 39713 4848 34 ; ; : 39713 4848 35 all all PDT 39713 4848 36 the the DT 39713 4848 37 parts part NNS 39713 4848 38 of of IN 39713 4848 39 this this DT 39713 4848 40 universe universe NN 39713 4848 41 may may MD 39713 4848 42 , , , 39713 4848 43 in in IN 39713 4848 44 fact fact NN 39713 4848 45 , , , 39713 4848 46 exercise exercise VB 39713 4848 47 an an DT 39713 4848 48 influence influence NN 39713 4848 49 more more RBR 39713 4848 50 or or CC 39713 4848 51 less less RBR 39713 4848 52 great great JJ 39713 4848 53 on on IN 39713 4848 54 the the DT 39713 4848 55 phenomenon phenomenon NN 39713 4848 56 which which WDT 39713 4848 57 must must MD 39713 4848 58 happen happen VB 39713 4848 59 at at IN 39713 4848 60 the the DT 39713 4848 61 instant instant NN 39713 4848 62 _ _ NNP 39713 4848 63 t t NNP 39713 4848 64 _ _ NNP 39713 4848 65 + + NNP 39713 4848 66 _ _ NNP 39713 4848 67 dt dt NNP 39713 4848 68 _ _ NNP 39713 4848 69 . . . 39713 4849 1 Now now RB 39713 4849 2 it -PRON- PRP 39713 4849 3 is be VBZ 39713 4849 4 clear clear JJ 39713 4849 5 that that IN 39713 4849 6 such such PDT 39713 4849 7 a a DT 39713 4849 8 description description NN 39713 4849 9 could could MD 39713 4849 10 not not RB 39713 4849 11 be be VB 39713 4849 12 found find VBN 39713 4849 13 in in IN 39713 4849 14 the the DT 39713 4849 15 enunciation enunciation NN 39713 4849 16 of of IN 39713 4849 17 the the DT 39713 4849 18 law law NN 39713 4849 19 ; ; : 39713 4849 20 besides besides RB 39713 4849 21 , , , 39713 4849 22 if if IN 39713 4849 23 it -PRON- PRP 39713 4849 24 were be VBD 39713 4849 25 made make VBN 39713 4849 26 , , , 39713 4849 27 the the DT 39713 4849 28 law law NN 39713 4849 29 would would MD 39713 4849 30 become become VB 39713 4849 31 incapable incapable JJ 39713 4849 32 of of IN 39713 4849 33 application application NN 39713 4849 34 ; ; : 39713 4849 35 if if IN 39713 4849 36 one one CD 39713 4849 37 required require VBD 39713 4849 38 so so RB 39713 4849 39 many many JJ 39713 4849 40 conditions condition NNS 39713 4849 41 , , , 39713 4849 42 there there EX 39713 4849 43 would would MD 39713 4849 44 be be VB 39713 4849 45 very very RB 39713 4849 46 little little JJ 39713 4849 47 chance chance NN 39713 4849 48 of of IN 39713 4849 49 their -PRON- PRP$ 39713 4849 50 ever ever RB 39713 4849 51 being be VBG 39713 4849 52 all all DT 39713 4849 53 realized realize VBN 39713 4849 54 at at IN 39713 4849 55 any any DT 39713 4849 56 moment moment NN 39713 4849 57 . . . 39713 4850 1 Then then RB 39713 4850 2 as as IN 39713 4850 3 one one PRP 39713 4850 4 can can MD 39713 4850 5 never never RB 39713 4850 6 be be VB 39713 4850 7 certain certain JJ 39713 4850 8 of of IN 39713 4850 9 not not RB 39713 4850 10 having have VBG 39713 4850 11 forgotten forget VBN 39713 4850 12 some some DT 39713 4850 13 essential essential JJ 39713 4850 14 condition condition NN 39713 4850 15 , , , 39713 4850 16 it -PRON- PRP 39713 4850 17 can can MD 39713 4850 18 not not RB 39713 4850 19 be be VB 39713 4850 20 said say VBN 39713 4850 21 : : : 39713 4850 22 If if IN 39713 4850 23 such such JJ 39713 4850 24 and and CC 39713 4850 25 such such JJ 39713 4850 26 conditions condition NNS 39713 4850 27 are be VBP 39713 4850 28 realized realize VBN 39713 4850 29 , , , 39713 4850 30 such such PDT 39713 4850 31 a a DT 39713 4850 32 phenomenon phenomenon NN 39713 4850 33 will will MD 39713 4850 34 occur occur VB 39713 4850 35 ; ; : 39713 4850 36 it -PRON- PRP 39713 4850 37 can can MD 39713 4850 38 only only RB 39713 4850 39 be be VB 39713 4850 40 said say VBN 39713 4850 41 : : : 39713 4850 42 If if IN 39713 4850 43 such such JJ 39713 4850 44 and and CC 39713 4850 45 such such JJ 39713 4850 46 conditions condition NNS 39713 4850 47 are be VBP 39713 4850 48 realized realize VBN 39713 4850 49 , , , 39713 4850 50 it -PRON- PRP 39713 4850 51 is be VBZ 39713 4850 52 probable probable JJ 39713 4850 53 that that IN 39713 4850 54 such such PDT 39713 4850 55 a a DT 39713 4850 56 phenomenon phenomenon NN 39713 4850 57 will will MD 39713 4850 58 occur occur VB 39713 4850 59 , , , 39713 4850 60 very very RB 39713 4850 61 nearly nearly RB 39713 4850 62 . . . 39713 4851 1 Take take VB 39713 4851 2 the the DT 39713 4851 3 law law NN 39713 4851 4 of of IN 39713 4851 5 gravitation gravitation NN 39713 4851 6 , , , 39713 4851 7 which which WDT 39713 4851 8 is be VBZ 39713 4851 9 the the DT 39713 4851 10 least least JJS 39713 4851 11 imperfect imperfect NN 39713 4851 12 of of IN 39713 4851 13 all all DT 39713 4851 14 known know VBN 39713 4851 15 laws law NNS 39713 4851 16 . . . 39713 4852 1 It -PRON- PRP 39713 4852 2 enables enable VBZ 39713 4852 3 us -PRON- PRP 39713 4852 4 to to TO 39713 4852 5 foresee foresee VB 39713 4852 6 the the DT 39713 4852 7 motions motion NNS 39713 4852 8 of of IN 39713 4852 9 the the DT 39713 4852 10 planets planet NNS 39713 4852 11 . . . 39713 4853 1 When when WRB 39713 4853 2 I -PRON- PRP 39713 4853 3 use use VBP 39713 4853 4 it -PRON- PRP 39713 4853 5 , , , 39713 4853 6 for for IN 39713 4853 7 instance instance NN 39713 4853 8 , , , 39713 4853 9 to to TO 39713 4853 10 calculate calculate VB 39713 4853 11 the the DT 39713 4853 12 orbit orbit NN 39713 4853 13 of of IN 39713 4853 14 Saturn Saturn NNP 39713 4853 15 , , , 39713 4853 16 I -PRON- PRP 39713 4853 17 neglect neglect VBP 39713 4853 18 the the DT 39713 4853 19 action action NN 39713 4853 20 of of IN 39713 4853 21 the the DT 39713 4853 22 stars star NNS 39713 4853 23 , , , 39713 4853 24 and and CC 39713 4853 25 in in IN 39713 4853 26 doing do VBG 39713 4853 27 so so RB 39713 4853 28 I -PRON- PRP 39713 4853 29 am be VBP 39713 4853 30 certain certain JJ 39713 4853 31 of of IN 39713 4853 32 not not RB 39713 4853 33 deceiving deceive VBG 39713 4853 34 myself -PRON- PRP 39713 4853 35 , , , 39713 4853 36 because because IN 39713 4853 37 I -PRON- PRP 39713 4853 38 know know VBP 39713 4853 39 that that IN 39713 4853 40 these these DT 39713 4853 41 stars star NNS 39713 4853 42 are be VBP 39713 4853 43 too too RB 39713 4853 44 far far RB 39713 4853 45 away away RB 39713 4853 46 for for IN 39713 4853 47 their -PRON- PRP$ 39713 4853 48 action action NN 39713 4853 49 to to TO 39713 4853 50 be be VB 39713 4853 51 sensible sensible JJ 39713 4853 52 . . . 39713 4854 1 I -PRON- PRP 39713 4854 2 announce announce VBP 39713 4854 3 , , , 39713 4854 4 then then RB 39713 4854 5 , , , 39713 4854 6 with with IN 39713 4854 7 a a DT 39713 4854 8 quasi quasi NN 39713 4854 9 - - JJ 39713 4854 10 certitude certitude NN 39713 4854 11 that that IN 39713 4854 12 the the DT 39713 4854 13 coordinates coordinate NNS 39713 4854 14 of of IN 39713 4854 15 Saturn Saturn NNP 39713 4854 16 at at IN 39713 4854 17 such such PDT 39713 4854 18 an an DT 39713 4854 19 hour hour NN 39713 4854 20 will will MD 39713 4854 21 be be VB 39713 4854 22 comprised comprise VBN 39713 4854 23 between between IN 39713 4854 24 such such JJ 39713 4854 25 and and CC 39713 4854 26 such such JJ 39713 4854 27 limits limit NNS 39713 4854 28 . . . 39713 4855 1 Yet yet CC 39713 4855 2 is be VBZ 39713 4855 3 that that DT 39713 4855 4 certitude certitude NN 39713 4855 5 absolute absolute JJ 39713 4855 6 ? ? . 39713 4856 1 Could Could MD 39713 4856 2 there there EX 39713 4856 3 not not RB 39713 4856 4 exist exist VB 39713 4856 5 in in IN 39713 4856 6 the the DT 39713 4856 7 universe universe NN 39713 4856 8 some some DT 39713 4856 9 gigantic gigantic JJ 39713 4856 10 mass mass NN 39713 4856 11 , , , 39713 4856 12 much much RB 39713 4856 13 greater great JJR 39713 4856 14 than than IN 39713 4856 15 that that DT 39713 4856 16 of of IN 39713 4856 17 all all PDT 39713 4856 18 the the DT 39713 4856 19 known know VBN 39713 4856 20 stars star NNS 39713 4856 21 and and CC 39713 4856 22 whose whose WP$ 39713 4856 23 action action NN 39713 4856 24 could could MD 39713 4856 25 make make VB 39713 4856 26 itself -PRON- PRP 39713 4856 27 felt feel VBN 39713 4856 28 at at IN 39713 4856 29 great great JJ 39713 4856 30 distances distance NNS 39713 4856 31 ? ? . 39713 4857 1 That that DT 39713 4857 2 mass mass NN 39713 4857 3 might may MD 39713 4857 4 be be VB 39713 4857 5 animated animate VBN 39713 4857 6 by by IN 39713 4857 7 a a DT 39713 4857 8 colossal colossal JJ 39713 4857 9 velocity velocity NN 39713 4857 10 , , , 39713 4857 11 and and CC 39713 4857 12 after after IN 39713 4857 13 having have VBG 39713 4857 14 circulated circulate VBN 39713 4857 15 from from IN 39713 4857 16 all all DT 39713 4857 17 time time NN 39713 4857 18 at at IN 39713 4857 19 such such JJ 39713 4857 20 distances distance NNS 39713 4857 21 that that IN 39713 4857 22 its -PRON- PRP$ 39713 4857 23 influence influence NN 39713 4857 24 had have VBD 39713 4857 25 remained remain VBN 39713 4857 26 hitherto hitherto NNP 39713 4857 27 insensible insensible JJ 39713 4857 28 to to IN 39713 4857 29 us -PRON- PRP 39713 4857 30 , , , 39713 4857 31 it -PRON- PRP 39713 4857 32 might may MD 39713 4857 33 come come VB 39713 4857 34 all all RB 39713 4857 35 at at IN 39713 4857 36 once once RB 39713 4857 37 to to TO 39713 4857 38 pass pass VB 39713 4857 39 near near IN 39713 4857 40 us -PRON- PRP 39713 4857 41 . . . 39713 4858 1 Surely surely RB 39713 4858 2 it -PRON- PRP 39713 4858 3 would would MD 39713 4858 4 produce produce VB 39713 4858 5 in in IN 39713 4858 6 our -PRON- PRP$ 39713 4858 7 solar solar JJ 39713 4858 8 system system NN 39713 4858 9 enormous enormous JJ 39713 4858 10 perturbations perturbation NNS 39713 4858 11 that that WDT 39713 4858 12 we -PRON- PRP 39713 4858 13 could could MD 39713 4858 14 not not RB 39713 4858 15 have have VB 39713 4858 16 foreseen foresee VBN 39713 4858 17 . . . 39713 4859 1 All all DT 39713 4859 2 that that WDT 39713 4859 3 can can MD 39713 4859 4 be be VB 39713 4859 5 said say VBN 39713 4859 6 is be VBZ 39713 4859 7 that that IN 39713 4859 8 such such PDT 39713 4859 9 an an DT 39713 4859 10 event event NN 39713 4859 11 is be VBZ 39713 4859 12 wholly wholly RB 39713 4859 13 improbable improbable JJ 39713 4859 14 , , , 39713 4859 15 and and CC 39713 4859 16 then then RB 39713 4859 17 , , , 39713 4859 18 instead instead RB 39713 4859 19 of of IN 39713 4859 20 saying say VBG 39713 4859 21 : : : 39713 4859 22 Saturn Saturn NNP 39713 4859 23 will will MD 39713 4859 24 be be VB 39713 4859 25 near near IN 39713 4859 26 such such PDT 39713 4859 27 a a DT 39713 4859 28 point point NN 39713 4859 29 of of IN 39713 4859 30 the the DT 39713 4859 31 heavens heavens NNPS 39713 4859 32 , , , 39713 4859 33 we -PRON- PRP 39713 4859 34 must must MD 39713 4859 35 limit limit VB 39713 4859 36 ourselves -PRON- PRP 39713 4859 37 to to IN 39713 4859 38 saying say VBG 39713 4859 39 : : : 39713 4859 40 Saturn Saturn NNP 39713 4859 41 will will MD 39713 4859 42 probably probably RB 39713 4859 43 be be VB 39713 4859 44 near near IN 39713 4859 45 such such PDT 39713 4859 46 a a DT 39713 4859 47 point point NN 39713 4859 48 of of IN 39713 4859 49 the the DT 39713 4859 50 heavens heavens NNPS 39713 4859 51 . . . 39713 4860 1 Although although IN 39713 4860 2 this this DT 39713 4860 3 probability probability NN 39713 4860 4 may may MD 39713 4860 5 be be VB 39713 4860 6 practically practically RB 39713 4860 7 equivalent equivalent JJ 39713 4860 8 to to IN 39713 4860 9 certainty certainty NN 39713 4860 10 , , , 39713 4860 11 it -PRON- PRP 39713 4860 12 is be VBZ 39713 4860 13 only only RB 39713 4860 14 a a DT 39713 4860 15 probability probability NN 39713 4860 16 . . . 39713 4861 1 For for IN 39713 4861 2 all all PDT 39713 4861 3 these these DT 39713 4861 4 reasons reason NNS 39713 4861 5 , , , 39713 4861 6 no no DT 39713 4861 7 particular particular JJ 39713 4861 8 law law NN 39713 4861 9 will will MD 39713 4861 10 ever ever RB 39713 4861 11 be be VB 39713 4861 12 more more JJR 39713 4861 13 than than IN 39713 4861 14 approximate approximate JJ 39713 4861 15 and and CC 39713 4861 16 probable probable JJ 39713 4861 17 . . . 39713 4862 1 Scientists scientist NNS 39713 4862 2 have have VBP 39713 4862 3 never never RB 39713 4862 4 failed fail VBN 39713 4862 5 to to TO 39713 4862 6 recognize recognize VB 39713 4862 7 this this DT 39713 4862 8 truth truth NN 39713 4862 9 ; ; : 39713 4862 10 only only RB 39713 4862 11 they -PRON- PRP 39713 4862 12 believe believe VBP 39713 4862 13 , , , 39713 4862 14 right right JJ 39713 4862 15 or or CC 39713 4862 16 wrong wrong JJ 39713 4862 17 , , , 39713 4862 18 that that IN 39713 4862 19 every every DT 39713 4862 20 law law NN 39713 4862 21 may may MD 39713 4862 22 be be VB 39713 4862 23 replaced replace VBN 39713 4862 24 by by IN 39713 4862 25 another another DT 39713 4862 26 closer close JJR 39713 4862 27 and and CC 39713 4862 28 more more RBR 39713 4862 29 probable probable JJ 39713 4862 30 , , , 39713 4862 31 that that IN 39713 4862 32 this this DT 39713 4862 33 new new JJ 39713 4862 34 law law NN 39713 4862 35 will will MD 39713 4862 36 itself -PRON- PRP 39713 4862 37 be be VB 39713 4862 38 only only RB 39713 4862 39 provisional provisional JJ 39713 4862 40 , , , 39713 4862 41 but but CC 39713 4862 42 that that IN 39713 4862 43 the the DT 39713 4862 44 same same JJ 39713 4862 45 movement movement NN 39713 4862 46 can can MD 39713 4862 47 continue continue VB 39713 4862 48 indefinitely indefinitely RB 39713 4862 49 , , , 39713 4862 50 so so IN 39713 4862 51 that that IN 39713 4862 52 science science NN 39713 4862 53 in in IN 39713 4862 54 progressing progressing NN 39713 4862 55 will will MD 39713 4862 56 possess possess VB 39713 4862 57 laws law NNS 39713 4862 58 more more JJR 39713 4862 59 and and CC 39713 4862 60 more more RBR 39713 4862 61 probable probable JJ 39713 4862 62 , , , 39713 4862 63 that that IN 39713 4862 64 the the DT 39713 4862 65 approximation approximation NN 39713 4862 66 will will MD 39713 4862 67 end end VB 39713 4862 68 by by RB 39713 4862 69 differing differ VBG 39713 4862 70 as as RB 39713 4862 71 little little JJ 39713 4862 72 as as IN 39713 4862 73 you -PRON- PRP 39713 4862 74 choose choose VBP 39713 4862 75 from from IN 39713 4862 76 exactitude exactitude NN 39713 4862 77 and and CC 39713 4862 78 the the DT 39713 4862 79 probability probability NN 39713 4862 80 from from IN 39713 4862 81 certitude certitude NN 39713 4862 82 . . . 39713 4863 1 If if IN 39713 4863 2 the the DT 39713 4863 3 scientists scientist NNS 39713 4863 4 who who WP 39713 4863 5 think think VBP 39713 4863 6 thus thus RB 39713 4863 7 are be VBP 39713 4863 8 right right JJ 39713 4863 9 , , , 39713 4863 10 still still RB 39713 4863 11 could could MD 39713 4863 12 it -PRON- PRP 39713 4863 13 be be VB 39713 4863 14 said say VBN 39713 4863 15 that that IN 39713 4863 16 _ _ NNP 39713 4863 17 the the DT 39713 4863 18 _ _ NNP 39713 4863 19 laws law NNS 39713 4863 20 of of IN 39713 4863 21 nature nature NN 39713 4863 22 are be VBP 39713 4863 23 contingent contingent JJ 39713 4863 24 , , , 39713 4863 25 even even RB 39713 4863 26 though though IN 39713 4863 27 _ _ NNP 39713 4863 28 each each DT 39713 4863 29 _ _ NNP 39713 4863 30 law law NN 39713 4863 31 , , , 39713 4863 32 taken take VBN 39713 4863 33 in in IN 39713 4863 34 particular particular JJ 39713 4863 35 , , , 39713 4863 36 may may MD 39713 4863 37 be be VB 39713 4863 38 qualified qualified JJ 39713 4863 39 as as IN 39713 4863 40 contingent contingent JJ 39713 4863 41 ? ? . 39713 4864 1 Or or CC 39713 4864 2 must must MD 39713 4864 3 one one PRP 39713 4864 4 require require VB 39713 4864 5 , , , 39713 4864 6 before before IN 39713 4864 7 concluding conclude VBG 39713 4864 8 the the DT 39713 4864 9 contingence contingence NN 39713 4864 10 _ _ NNP 39713 4864 11 of of IN 39713 4864 12 the the DT 39713 4864 13 _ _ NNP 39713 4864 14 natural natural JJ 39713 4864 15 laws law NNS 39713 4864 16 , , , 39713 4864 17 that that IN 39713 4864 18 this this DT 39713 4864 19 progress progress NN 39713 4864 20 have have VBP 39713 4864 21 an an DT 39713 4864 22 end end NN 39713 4864 23 , , , 39713 4864 24 that that IN 39713 4864 25 the the DT 39713 4864 26 scientist scientist NN 39713 4864 27 finish finish VB 39713 4864 28 some some DT 39713 4864 29 day day NN 39713 4864 30 by by IN 39713 4864 31 being be VBG 39713 4864 32 arrested arrest VBN 39713 4864 33 in in IN 39713 4864 34 his -PRON- PRP$ 39713 4864 35 search search NN 39713 4864 36 for for IN 39713 4864 37 a a DT 39713 4864 38 closer close JJR 39713 4864 39 and and CC 39713 4864 40 closer close JJR 39713 4864 41 approximation approximation NN 39713 4864 42 , , , 39713 4864 43 and and CC 39713 4864 44 that that IN 39713 4864 45 , , , 39713 4864 46 beyond beyond IN 39713 4864 47 a a DT 39713 4864 48 certain certain JJ 39713 4864 49 limit limit NN 39713 4864 50 , , , 39713 4864 51 he -PRON- PRP 39713 4864 52 thereafter thereafter RB 39713 4864 53 meet meet VBP 39713 4864 54 in in IN 39713 4864 55 nature nature NN 39713 4864 56 only only RB 39713 4864 57 caprice caprice NN 39713 4864 58 ? ? . 39713 4865 1 In in IN 39713 4865 2 the the DT 39713 4865 3 conception conception NN 39713 4865 4 of of IN 39713 4865 5 which which WDT 39713 4865 6 I -PRON- PRP 39713 4865 7 have have VBP 39713 4865 8 just just RB 39713 4865 9 spoken speak VBN 39713 4865 10 ( ( -LRB- 39713 4865 11 and and CC 39713 4865 12 which which WDT 39713 4865 13 I -PRON- PRP 39713 4865 14 shall shall MD 39713 4865 15 call call VB 39713 4865 16 the the DT 39713 4865 17 scientific scientific JJ 39713 4865 18 conception conception NN 39713 4865 19 ) ) -RRB- 39713 4865 20 , , , 39713 4865 21 every every DT 39713 4865 22 law law NN 39713 4865 23 is be VBZ 39713 4865 24 only only RB 39713 4865 25 a a DT 39713 4865 26 statement statement NN 39713 4865 27 imperfect imperfect JJ 39713 4865 28 and and CC 39713 4865 29 provisional provisional JJ 39713 4865 30 , , , 39713 4865 31 but but CC 39713 4865 32 it -PRON- PRP 39713 4865 33 must must MD 39713 4865 34 one one CD 39713 4865 35 day day NN 39713 4865 36 be be VB 39713 4865 37 replaced replace VBN 39713 4865 38 by by IN 39713 4865 39 another another DT 39713 4865 40 , , , 39713 4865 41 a a DT 39713 4865 42 superior superior JJ 39713 4865 43 law law NN 39713 4865 44 , , , 39713 4865 45 of of IN 39713 4865 46 which which WDT 39713 4865 47 it -PRON- PRP 39713 4865 48 is be VBZ 39713 4865 49 only only RB 39713 4865 50 a a DT 39713 4865 51 crude crude JJ 39713 4865 52 image image NN 39713 4865 53 . . . 39713 4866 1 No no DT 39713 4866 2 place place NN 39713 4866 3 therefore therefore RB 39713 4866 4 remains remain VBZ 39713 4866 5 for for IN 39713 4866 6 the the DT 39713 4866 7 intervention intervention NN 39713 4866 8 of of IN 39713 4866 9 a a DT 39713 4866 10 free free JJ 39713 4866 11 will will NN 39713 4866 12 . . . 39713 4867 1 It -PRON- PRP 39713 4867 2 seems seem VBZ 39713 4867 3 to to IN 39713 4867 4 me -PRON- PRP 39713 4867 5 that that IN 39713 4867 6 the the DT 39713 4867 7 kinetic kinetic JJ 39713 4867 8 theory theory NN 39713 4867 9 of of IN 39713 4867 10 gases gas NNS 39713 4867 11 will will MD 39713 4867 12 furnish furnish VB 39713 4867 13 us -PRON- PRP 39713 4867 14 a a DT 39713 4867 15 striking striking JJ 39713 4867 16 example example NN 39713 4867 17 . . . 39713 4868 1 You -PRON- PRP 39713 4868 2 know know VBP 39713 4868 3 that that IN 39713 4868 4 in in IN 39713 4868 5 this this DT 39713 4868 6 theory theory NN 39713 4868 7 all all PDT 39713 4868 8 the the DT 39713 4868 9 properties property NNS 39713 4868 10 of of IN 39713 4868 11 gases gas NNS 39713 4868 12 are be VBP 39713 4868 13 explained explain VBN 39713 4868 14 by by IN 39713 4868 15 a a DT 39713 4868 16 simple simple JJ 39713 4868 17 hypothesis hypothesis NN 39713 4868 18 ; ; : 39713 4868 19 it -PRON- PRP 39713 4868 20 is be VBZ 39713 4868 21 supposed suppose VBN 39713 4868 22 that that IN 39713 4868 23 all all PDT 39713 4868 24 the the DT 39713 4868 25 gaseous gaseous JJ 39713 4868 26 molecules molecule NNS 39713 4868 27 move move VBP 39713 4868 28 in in IN 39713 4868 29 every every DT 39713 4868 30 direction direction NN 39713 4868 31 with with IN 39713 4868 32 great great JJ 39713 4868 33 velocities velocity NNS 39713 4868 34 and and CC 39713 4868 35 that that IN 39713 4868 36 they -PRON- PRP 39713 4868 37 follow follow VBP 39713 4868 38 rectilineal rectilineal JJ 39713 4868 39 paths path NNS 39713 4868 40 which which WDT 39713 4868 41 are be VBP 39713 4868 42 disturbed disturb VBN 39713 4868 43 only only RB 39713 4868 44 when when WRB 39713 4868 45 one one CD 39713 4868 46 molecule molecule NN 39713 4868 47 passes pass VBZ 39713 4868 48 very very RB 39713 4868 49 near near IN 39713 4868 50 the the DT 39713 4868 51 sides side NNS 39713 4868 52 of of IN 39713 4868 53 the the DT 39713 4868 54 vessel vessel NN 39713 4868 55 or or CC 39713 4868 56 another another DT 39713 4868 57 molecule molecule NN 39713 4868 58 . . . 39713 4869 1 The the DT 39713 4869 2 effects effect NNS 39713 4869 3 our -PRON- PRP$ 39713 4869 4 crude crude JJ 39713 4869 5 senses sense NNS 39713 4869 6 enable enable VBP 39713 4869 7 us -PRON- PRP 39713 4869 8 to to TO 39713 4869 9 observe observe VB 39713 4869 10 are be VBP 39713 4869 11 the the DT 39713 4869 12 mean mean JJ 39713 4869 13 effects effect NNS 39713 4869 14 , , , 39713 4869 15 and and CC 39713 4869 16 in in IN 39713 4869 17 these these DT 39713 4869 18 means mean NNS 39713 4869 19 , , , 39713 4869 20 the the DT 39713 4869 21 great great JJ 39713 4869 22 deviations deviation NNS 39713 4869 23 compensate compensate VBP 39713 4869 24 , , , 39713 4869 25 or or CC 39713 4869 26 at at IN 39713 4869 27 least least JJS 39713 4869 28 it -PRON- PRP 39713 4869 29 is be VBZ 39713 4869 30 very very RB 39713 4869 31 improbable improbable JJ 39713 4869 32 that that IN 39713 4869 33 they -PRON- PRP 39713 4869 34 do do VBP 39713 4869 35 not not RB 39713 4869 36 compensate compensate VB 39713 4869 37 ; ; : 39713 4869 38 so so IN 39713 4869 39 that that IN 39713 4869 40 the the DT 39713 4869 41 observable observable JJ 39713 4869 42 phenomena phenomenon NNS 39713 4869 43 follow follow VBP 39713 4869 44 simple simple JJ 39713 4869 45 laws law NNS 39713 4869 46 such such JJ 39713 4869 47 as as IN 39713 4869 48 that that DT 39713 4869 49 of of IN 39713 4869 50 Mariotte Mariotte NNP 39713 4869 51 or or CC 39713 4869 52 of of IN 39713 4869 53 Gay Gay NNP 39713 4869 54 - - HYPH 39713 4869 55 Lussac Lussac NNP 39713 4869 56 . . . 39713 4870 1 But but CC 39713 4870 2 this this DT 39713 4870 3 compensation compensation NN 39713 4870 4 of of IN 39713 4870 5 deviations deviation NNS 39713 4870 6 is be VBZ 39713 4870 7 only only RB 39713 4870 8 probable probable JJ 39713 4870 9 . . . 39713 4871 1 The the DT 39713 4871 2 molecules molecule NNS 39713 4871 3 incessantly incessantly RB 39713 4871 4 change change VBP 39713 4871 5 place place NN 39713 4871 6 and and CC 39713 4871 7 in in IN 39713 4871 8 these these DT 39713 4871 9 continual continual JJ 39713 4871 10 displacements displacement NNS 39713 4871 11 the the DT 39713 4871 12 figures figure NNS 39713 4871 13 they -PRON- PRP 39713 4871 14 form form VBP 39713 4871 15 pass pass VBP 39713 4871 16 successively successively RB 39713 4871 17 through through IN 39713 4871 18 all all DT 39713 4871 19 possible possible JJ 39713 4871 20 combinations combination NNS 39713 4871 21 . . . 39713 4872 1 Singly singly RB 39713 4872 2 these these DT 39713 4872 3 combinations combination NNS 39713 4872 4 are be VBP 39713 4872 5 very very RB 39713 4872 6 numerous numerous JJ 39713 4872 7 ; ; : 39713 4872 8 almost almost RB 39713 4872 9 all all DT 39713 4872 10 are be VBP 39713 4872 11 in in IN 39713 4872 12 conformity conformity NN 39713 4872 13 with with IN 39713 4872 14 Mariotte Mariotte NNP 39713 4872 15 's 's POS 39713 4872 16 law law NN 39713 4872 17 , , , 39713 4872 18 only only RB 39713 4872 19 a a DT 39713 4872 20 few few JJ 39713 4872 21 deviate deviate NN 39713 4872 22 from from IN 39713 4872 23 it -PRON- PRP 39713 4872 24 . . . 39713 4873 1 These these DT 39713 4873 2 also also RB 39713 4873 3 will will MD 39713 4873 4 happen happen VB 39713 4873 5 , , , 39713 4873 6 only only RB 39713 4873 7 it -PRON- PRP 39713 4873 8 would would MD 39713 4873 9 be be VB 39713 4873 10 necessary necessary JJ 39713 4873 11 to to TO 39713 4873 12 wait wait VB 39713 4873 13 a a DT 39713 4873 14 long long JJ 39713 4873 15 time time NN 39713 4873 16 for for IN 39713 4873 17 them -PRON- PRP 39713 4873 18 . . . 39713 4874 1 If if IN 39713 4874 2 a a DT 39713 4874 3 gas gas NN 39713 4874 4 were be VBD 39713 4874 5 observed observe VBN 39713 4874 6 during during IN 39713 4874 7 a a DT 39713 4874 8 sufficiently sufficiently RB 39713 4874 9 long long JJ 39713 4874 10 time time NN 39713 4874 11 it -PRON- PRP 39713 4874 12 would would MD 39713 4874 13 certainly certainly RB 39713 4874 14 be be VB 39713 4874 15 finally finally RB 39713 4874 16 seen see VBN 39713 4874 17 to to TO 39713 4874 18 deviate deviate VB 39713 4874 19 , , , 39713 4874 20 for for IN 39713 4874 21 a a DT 39713 4874 22 very very RB 39713 4874 23 short short JJ 39713 4874 24 time time NN 39713 4874 25 , , , 39713 4874 26 from from IN 39713 4874 27 Mariotte Mariotte NNP 39713 4874 28 's 's POS 39713 4874 29 law law NN 39713 4874 30 . . . 39713 4875 1 How how WRB 39713 4875 2 long long RB 39713 4875 3 would would MD 39713 4875 4 it -PRON- PRP 39713 4875 5 be be VB 39713 4875 6 necessary necessary JJ 39713 4875 7 to to TO 39713 4875 8 wait wait VB 39713 4875 9 ? ? . 39713 4876 1 If if IN 39713 4876 2 it -PRON- PRP 39713 4876 3 were be VBD 39713 4876 4 desired desire VBN 39713 4876 5 to to TO 39713 4876 6 calculate calculate VB 39713 4876 7 the the DT 39713 4876 8 probable probable JJ 39713 4876 9 number number NN 39713 4876 10 of of IN 39713 4876 11 years year NNS 39713 4876 12 , , , 39713 4876 13 it -PRON- PRP 39713 4876 14 would would MD 39713 4876 15 be be VB 39713 4876 16 found find VBN 39713 4876 17 that that IN 39713 4876 18 this this DT 39713 4876 19 number number NN 39713 4876 20 is be VBZ 39713 4876 21 so so RB 39713 4876 22 great great JJ 39713 4876 23 that that DT 39713 4876 24 to to TO 39713 4876 25 write write VB 39713 4876 26 only only RB 39713 4876 27 the the DT 39713 4876 28 number number NN 39713 4876 29 of of IN 39713 4876 30 places place NNS 39713 4876 31 of of IN 39713 4876 32 figures figure NNS 39713 4876 33 employed employ VBN 39713 4876 34 would would MD 39713 4876 35 still still RB 39713 4876 36 require require VB 39713 4876 37 half half PDT 39713 4876 38 a a DT 39713 4876 39 score score NN 39713 4876 40 places place NNS 39713 4876 41 of of IN 39713 4876 42 figures figure NNS 39713 4876 43 . . . 39713 4877 1 No no RB 39713 4877 2 matter matter RB 39713 4877 3 ; ; : 39713 4877 4 enough enough RB 39713 4877 5 that that IN 39713 4877 6 it -PRON- PRP 39713 4877 7 may may MD 39713 4877 8 be be VB 39713 4877 9 done do VBN 39713 4877 10 . . . 39713 4878 1 I -PRON- PRP 39713 4878 2 do do VBP 39713 4878 3 not not RB 39713 4878 4 care care VB 39713 4878 5 to to TO 39713 4878 6 discuss discuss VB 39713 4878 7 here here RB 39713 4878 8 the the DT 39713 4878 9 value value NN 39713 4878 10 of of IN 39713 4878 11 this this DT 39713 4878 12 theory theory NN 39713 4878 13 . . . 39713 4879 1 It -PRON- PRP 39713 4879 2 is be VBZ 39713 4879 3 evident evident JJ 39713 4879 4 that that IN 39713 4879 5 if if IN 39713 4879 6 it -PRON- PRP 39713 4879 7 be be VB 39713 4879 8 adopted adopt VBN 39713 4879 9 , , , 39713 4879 10 Mariotte Mariotte NNP 39713 4879 11 's 's POS 39713 4879 12 law law NN 39713 4879 13 will will MD 39713 4879 14 thereafter thereafter RB 39713 4879 15 appear appear VB 39713 4879 16 only only RB 39713 4879 17 as as IN 39713 4879 18 contingent contingent JJ 39713 4879 19 , , , 39713 4879 20 since since IN 39713 4879 21 a a DT 39713 4879 22 day day NN 39713 4879 23 will will MD 39713 4879 24 come come VB 39713 4879 25 when when WRB 39713 4879 26 it -PRON- PRP 39713 4879 27 will will MD 39713 4879 28 not not RB 39713 4879 29 be be VB 39713 4879 30 true true JJ 39713 4879 31 . . . 39713 4880 1 And and CC 39713 4880 2 yet yet RB 39713 4880 3 , , , 39713 4880 4 think think VBP 39713 4880 5 you -PRON- PRP 39713 4880 6 the the DT 39713 4880 7 partisans partisan NNS 39713 4880 8 of of IN 39713 4880 9 the the DT 39713 4880 10 kinetic kinetic JJ 39713 4880 11 theory theory NN 39713 4880 12 are be VBP 39713 4880 13 adversaries adversary NNS 39713 4880 14 of of IN 39713 4880 15 determinism determinism NN 39713 4880 16 ? ? . 39713 4881 1 Far far RB 39713 4881 2 from from IN 39713 4881 3 it -PRON- PRP 39713 4881 4 ; ; : 39713 4881 5 they -PRON- PRP 39713 4881 6 are be VBP 39713 4881 7 the the DT 39713 4881 8 most most RBS 39713 4881 9 ultra ultra JJ 39713 4881 10 of of IN 39713 4881 11 mechanists mechanist NNS 39713 4881 12 . . . 39713 4882 1 Their -PRON- PRP$ 39713 4882 2 molecules molecule NNS 39713 4882 3 follow follow VBP 39713 4882 4 rigid rigid JJ 39713 4882 5 paths path NNS 39713 4882 6 , , , 39713 4882 7 from from IN 39713 4882 8 which which WDT 39713 4882 9 they -PRON- PRP 39713 4882 10 depart depart VBP 39713 4882 11 only only RB 39713 4882 12 under under IN 39713 4882 13 the the DT 39713 4882 14 influence influence NN 39713 4882 15 of of IN 39713 4882 16 forces force NNS 39713 4882 17 which which WDT 39713 4882 18 vary vary VBP 39713 4882 19 with with IN 39713 4882 20 the the DT 39713 4882 21 distance distance NN 39713 4882 22 , , , 39713 4882 23 following follow VBG 39713 4882 24 a a DT 39713 4882 25 perfectly perfectly RB 39713 4882 26 determinate determinate JJ 39713 4882 27 law law NN 39713 4882 28 . . . 39713 4883 1 There there EX 39713 4883 2 remains remain VBZ 39713 4883 3 in in IN 39713 4883 4 their -PRON- PRP$ 39713 4883 5 system system NN 39713 4883 6 not not RB 39713 4883 7 the the DT 39713 4883 8 smallest small JJS 39713 4883 9 place place NN 39713 4883 10 either either CC 39713 4883 11 for for IN 39713 4883 12 freedom freedom NN 39713 4883 13 , , , 39713 4883 14 or or CC 39713 4883 15 for for IN 39713 4883 16 an an DT 39713 4883 17 evolutionary evolutionary JJ 39713 4883 18 factor factor NN 39713 4883 19 , , , 39713 4883 20 properly properly RB 39713 4883 21 so so RB 39713 4883 22 - - HYPH 39713 4883 23 called call VBN 39713 4883 24 , , , 39713 4883 25 or or CC 39713 4883 26 for for IN 39713 4883 27 anything anything NN 39713 4883 28 whatever whatever WDT 39713 4883 29 that that DT 39713 4883 30 could could MD 39713 4883 31 be be VB 39713 4883 32 called call VBN 39713 4883 33 contingence contingence NN 39713 4883 34 . . . 39713 4884 1 I -PRON- PRP 39713 4884 2 add add VBP 39713 4884 3 , , , 39713 4884 4 to to TO 39713 4884 5 avoid avoid VB 39713 4884 6 mistake mistake NN 39713 4884 7 , , , 39713 4884 8 that that IN 39713 4884 9 neither neither DT 39713 4884 10 is be VBZ 39713 4884 11 there there EX 39713 4884 12 any any DT 39713 4884 13 evolution evolution NN 39713 4884 14 of of IN 39713 4884 15 Mariotte Mariotte NNP 39713 4884 16 's 's POS 39713 4884 17 law law NN 39713 4884 18 itself -PRON- PRP 39713 4884 19 ; ; : 39713 4884 20 it -PRON- PRP 39713 4884 21 ceases cease VBZ 39713 4884 22 to to TO 39713 4884 23 be be VB 39713 4884 24 true true JJ 39713 4884 25 after after IN 39713 4884 26 I -PRON- PRP 39713 4884 27 know know VBP 39713 4884 28 not not RB 39713 4884 29 how how WRB 39713 4884 30 many many JJ 39713 4884 31 centuries century NNS 39713 4884 32 ; ; : 39713 4884 33 but but CC 39713 4884 34 at at IN 39713 4884 35 the the DT 39713 4884 36 end end NN 39713 4884 37 of of IN 39713 4884 38 a a DT 39713 4884 39 fraction fraction NN 39713 4884 40 of of IN 39713 4884 41 a a DT 39713 4884 42 second second JJ 39713 4884 43 it -PRON- PRP 39713 4884 44 again again RB 39713 4884 45 becomes become VBZ 39713 4884 46 true true JJ 39713 4884 47 and and CC 39713 4884 48 that that IN 39713 4884 49 for for IN 39713 4884 50 an an DT 39713 4884 51 incalculable incalculable JJ 39713 4884 52 number number NN 39713 4884 53 of of IN 39713 4884 54 centuries century NNS 39713 4884 55 . . . 39713 4885 1 And and CC 39713 4885 2 since since IN 39713 4885 3 I -PRON- PRP 39713 4885 4 have have VBP 39713 4885 5 pronounced pronounce VBN 39713 4885 6 the the DT 39713 4885 7 word word NN 39713 4885 8 evolution evolution NN 39713 4885 9 , , , 39713 4885 10 let let VB 39713 4885 11 us -PRON- PRP 39713 4885 12 clear clear VB 39713 4885 13 away away RB 39713 4885 14 another another DT 39713 4885 15 mistake mistake NN 39713 4885 16 . . . 39713 4886 1 It -PRON- PRP 39713 4886 2 is be VBZ 39713 4886 3 often often RB 39713 4886 4 said say VBN 39713 4886 5 : : : 39713 4886 6 Who who WP 39713 4886 7 knows know VBZ 39713 4886 8 whether whether IN 39713 4886 9 the the DT 39713 4886 10 laws law NNS 39713 4886 11 do do VBP 39713 4886 12 not not RB 39713 4886 13 evolve evolve VB 39713 4886 14 and and CC 39713 4886 15 whether whether IN 39713 4886 16 we -PRON- PRP 39713 4886 17 shall shall MD 39713 4886 18 not not RB 39713 4886 19 one one CD 39713 4886 20 day day NN 39713 4886 21 discover discover VB 39713 4886 22 that that IN 39713 4886 23 they -PRON- PRP 39713 4886 24 were be VBD 39713 4886 25 not not RB 39713 4886 26 at at IN 39713 4886 27 the the DT 39713 4886 28 Carboniferous carboniferous JJ 39713 4886 29 epoch epoch NN 39713 4886 30 what what WP 39713 4886 31 they -PRON- PRP 39713 4886 32 are be VBP 39713 4886 33 to to IN 39713 4886 34 - - HYPH 39713 4886 35 day day NN 39713 4886 36 ? ? . 39713 4887 1 What what WP 39713 4887 2 are be VBP 39713 4887 3 we -PRON- PRP 39713 4887 4 to to TO 39713 4887 5 understand understand VB 39713 4887 6 by by IN 39713 4887 7 that that DT 39713 4887 8 ? ? . 39713 4888 1 What what WP 39713 4888 2 we -PRON- PRP 39713 4888 3 think think VBP 39713 4888 4 we -PRON- PRP 39713 4888 5 know know VBP 39713 4888 6 about about IN 39713 4888 7 the the DT 39713 4888 8 past past JJ 39713 4888 9 state state NN 39713 4888 10 of of IN 39713 4888 11 our -PRON- PRP$ 39713 4888 12 globe globe NN 39713 4888 13 , , , 39713 4888 14 we -PRON- PRP 39713 4888 15 deduce deduce VBP 39713 4888 16 from from IN 39713 4888 17 its -PRON- PRP$ 39713 4888 18 present present JJ 39713 4888 19 state state NN 39713 4888 20 . . . 39713 4889 1 And and CC 39713 4889 2 how how WRB 39713 4889 3 is be VBZ 39713 4889 4 this this DT 39713 4889 5 deduction deduction NN 39713 4889 6 made make VBN 39713 4889 7 ? ? . 39713 4890 1 It -PRON- PRP 39713 4890 2 is be VBZ 39713 4890 3 by by IN 39713 4890 4 means mean NNS 39713 4890 5 of of IN 39713 4890 6 laws law NNS 39713 4890 7 supposed suppose VBN 39713 4890 8 known know VBN 39713 4890 9 . . . 39713 4891 1 The the DT 39713 4891 2 law law NN 39713 4891 3 , , , 39713 4891 4 being be VBG 39713 4891 5 a a DT 39713 4891 6 relation relation NN 39713 4891 7 between between IN 39713 4891 8 the the DT 39713 4891 9 antecedent antecedent NN 39713 4891 10 and and CC 39713 4891 11 the the DT 39713 4891 12 consequent consequent NN 39713 4891 13 , , , 39713 4891 14 enables enable VBZ 39713 4891 15 us -PRON- PRP 39713 4891 16 equally equally RB 39713 4891 17 well well RB 39713 4891 18 to to TO 39713 4891 19 deduce deduce VB 39713 4891 20 the the DT 39713 4891 21 consequent consequent NN 39713 4891 22 from from IN 39713 4891 23 the the DT 39713 4891 24 antecedent antecedent NN 39713 4891 25 , , , 39713 4891 26 that that RB 39713 4891 27 is is RB 39713 4891 28 , , , 39713 4891 29 to to TO 39713 4891 30 foresee foresee VB 39713 4891 31 the the DT 39713 4891 32 future future NN 39713 4891 33 , , , 39713 4891 34 and and CC 39713 4891 35 to to TO 39713 4891 36 deduce deduce VB 39713 4891 37 the the DT 39713 4891 38 antecedent antecedent NN 39713 4891 39 from from IN 39713 4891 40 the the DT 39713 4891 41 consequent consequent NN 39713 4891 42 , , , 39713 4891 43 that that RB 39713 4891 44 is is RB 39713 4891 45 , , , 39713 4891 46 to to TO 39713 4891 47 conclude conclude VB 39713 4891 48 from from IN 39713 4891 49 the the DT 39713 4891 50 present present NN 39713 4891 51 to to IN 39713 4891 52 the the DT 39713 4891 53 past past NN 39713 4891 54 . . . 39713 4892 1 The the DT 39713 4892 2 astronomer astronomer NN 39713 4892 3 who who WP 39713 4892 4 knows know VBZ 39713 4892 5 the the DT 39713 4892 6 present present JJ 39713 4892 7 situation situation NN 39713 4892 8 of of IN 39713 4892 9 the the DT 39713 4892 10 stars star NNS 39713 4892 11 can can MD 39713 4892 12 from from IN 39713 4892 13 it -PRON- PRP 39713 4892 14 deduce deduce VB 39713 4892 15 their -PRON- PRP$ 39713 4892 16 future future JJ 39713 4892 17 situation situation NN 39713 4892 18 by by IN 39713 4892 19 Newton Newton NNP 39713 4892 20 's 's POS 39713 4892 21 law law NN 39713 4892 22 , , , 39713 4892 23 and and CC 39713 4892 24 this this DT 39713 4892 25 is be VBZ 39713 4892 26 what what WP 39713 4892 27 he -PRON- PRP 39713 4892 28 does do VBZ 39713 4892 29 when when WRB 39713 4892 30 he -PRON- PRP 39713 4892 31 constructs construct VBZ 39713 4892 32 ephemerides ephemeris NNS 39713 4892 33 ; ; : 39713 4892 34 and and CC 39713 4892 35 he -PRON- PRP 39713 4892 36 can can MD 39713 4892 37 equally equally RB 39713 4892 38 deduce deduce VB 39713 4892 39 from from IN 39713 4892 40 it -PRON- PRP 39713 4892 41 their -PRON- PRP$ 39713 4892 42 past past JJ 39713 4892 43 situation situation NN 39713 4892 44 . . . 39713 4893 1 The the DT 39713 4893 2 calculations calculation NNS 39713 4893 3 he -PRON- PRP 39713 4893 4 thus thus RB 39713 4893 5 can can MD 39713 4893 6 make make VB 39713 4893 7 can can MD 39713 4893 8 not not RB 39713 4893 9 teach teach VB 39713 4893 10 him -PRON- PRP 39713 4893 11 that that IN 39713 4893 12 Newton Newton NNP 39713 4893 13 's 's POS 39713 4893 14 law law NN 39713 4893 15 will will MD 39713 4893 16 cease cease VB 39713 4893 17 to to TO 39713 4893 18 be be VB 39713 4893 19 true true JJ 39713 4893 20 in in IN 39713 4893 21 the the DT 39713 4893 22 future future NN 39713 4893 23 , , , 39713 4893 24 since since IN 39713 4893 25 this this DT 39713 4893 26 law law NN 39713 4893 27 is be VBZ 39713 4893 28 precisely precisely RB 39713 4893 29 his -PRON- PRP$ 39713 4893 30 point point NN 39713 4893 31 of of IN 39713 4893 32 departure departure NN 39713 4893 33 ; ; : 39713 4893 34 not not RB 39713 4893 35 more more JJR 39713 4893 36 can can MD 39713 4893 37 they -PRON- PRP 39713 4893 38 tell tell VB 39713 4893 39 him -PRON- PRP 39713 4893 40 it -PRON- PRP 39713 4893 41 was be VBD 39713 4893 42 not not RB 39713 4893 43 true true JJ 39713 4893 44 in in IN 39713 4893 45 the the DT 39713 4893 46 past past NN 39713 4893 47 . . . 39713 4894 1 Still still RB 39713 4894 2 , , , 39713 4894 3 in in IN 39713 4894 4 what what WP 39713 4894 5 concerns concern VBZ 39713 4894 6 the the DT 39713 4894 7 future future NN 39713 4894 8 , , , 39713 4894 9 his -PRON- PRP$ 39713 4894 10 ephemerides ephemeris NNS 39713 4894 11 can can MD 39713 4894 12 one one CD 39713 4894 13 day day NN 39713 4894 14 be be VB 39713 4894 15 tested test VBN 39713 4894 16 and and CC 39713 4894 17 our -PRON- PRP$ 39713 4894 18 descendants descendant NNS 39713 4894 19 will will MD 39713 4894 20 perhaps perhaps RB 39713 4894 21 recognize recognize VB 39713 4894 22 that that IN 39713 4894 23 they -PRON- PRP 39713 4894 24 were be VBD 39713 4894 25 false false JJ 39713 4894 26 . . . 39713 4895 1 But but CC 39713 4895 2 in in IN 39713 4895 3 what what WP 39713 4895 4 concerns concern VBZ 39713 4895 5 the the DT 39713 4895 6 past past NN 39713 4895 7 , , , 39713 4895 8 the the DT 39713 4895 9 geologic geologic NN 39713 4895 10 past past NN 39713 4895 11 which which WDT 39713 4895 12 had have VBD 39713 4895 13 no no DT 39713 4895 14 witnesses witness NNS 39713 4895 15 , , , 39713 4895 16 the the DT 39713 4895 17 results result NNS 39713 4895 18 of of IN 39713 4895 19 his -PRON- PRP$ 39713 4895 20 calculation calculation NN 39713 4895 21 , , , 39713 4895 22 like like IN 39713 4895 23 those those DT 39713 4895 24 of of IN 39713 4895 25 all all DT 39713 4895 26 speculations speculation NNS 39713 4895 27 where where WRB 39713 4895 28 we -PRON- PRP 39713 4895 29 seek seek VBP 39713 4895 30 to to TO 39713 4895 31 deduce deduce VB 39713 4895 32 the the DT 39713 4895 33 past past NN 39713 4895 34 from from IN 39713 4895 35 the the DT 39713 4895 36 present present JJ 39713 4895 37 , , , 39713 4895 38 escape escape VB 39713 4895 39 by by IN 39713 4895 40 their -PRON- PRP$ 39713 4895 41 very very JJ 39713 4895 42 nature nature NN 39713 4895 43 every every DT 39713 4895 44 species species NN 39713 4895 45 of of IN 39713 4895 46 test test NN 39713 4895 47 . . . 39713 4896 1 So so RB 39713 4896 2 that that IN 39713 4896 3 if if IN 39713 4896 4 the the DT 39713 4896 5 laws law NNS 39713 4896 6 of of IN 39713 4896 7 nature nature NN 39713 4896 8 were be VBD 39713 4896 9 not not RB 39713 4896 10 the the DT 39713 4896 11 same same JJ 39713 4896 12 in in IN 39713 4896 13 the the DT 39713 4896 14 Carboniferous carboniferous JJ 39713 4896 15 age age NN 39713 4896 16 as as IN 39713 4896 17 at at IN 39713 4896 18 the the DT 39713 4896 19 present present JJ 39713 4896 20 epoch epoch NN 39713 4896 21 , , , 39713 4896 22 we -PRON- PRP 39713 4896 23 shall shall MD 39713 4896 24 never never RB 39713 4896 25 be be VB 39713 4896 26 able able JJ 39713 4896 27 to to TO 39713 4896 28 know know VB 39713 4896 29 it -PRON- PRP 39713 4896 30 , , , 39713 4896 31 since since IN 39713 4896 32 we -PRON- PRP 39713 4896 33 can can MD 39713 4896 34 know know VB 39713 4896 35 nothing nothing NN 39713 4896 36 of of IN 39713 4896 37 this this DT 39713 4896 38 age age NN 39713 4896 39 , , , 39713 4896 40 only only RB 39713 4896 41 what what WP 39713 4896 42 we -PRON- PRP 39713 4896 43 deduce deduce VBP 39713 4896 44 from from IN 39713 4896 45 the the DT 39713 4896 46 hypothesis hypothesis NN 39713 4896 47 of of IN 39713 4896 48 the the DT 39713 4896 49 permanence permanence NN 39713 4896 50 of of IN 39713 4896 51 these these DT 39713 4896 52 laws law NNS 39713 4896 53 . . . 39713 4897 1 Perhaps perhaps RB 39713 4897 2 it -PRON- PRP 39713 4897 3 will will MD 39713 4897 4 be be VB 39713 4897 5 said say VBN 39713 4897 6 that that IN 39713 4897 7 this this DT 39713 4897 8 hypothesis hypothesis NN 39713 4897 9 might may MD 39713 4897 10 lead lead VB 39713 4897 11 to to IN 39713 4897 12 contradictory contradictory JJ 39713 4897 13 results result NNS 39713 4897 14 and and CC 39713 4897 15 that that IN 39713 4897 16 we -PRON- PRP 39713 4897 17 shall shall MD 39713 4897 18 be be VB 39713 4897 19 obliged oblige VBN 39713 4897 20 to to TO 39713 4897 21 abandon abandon VB 39713 4897 22 it -PRON- PRP 39713 4897 23 . . . 39713 4898 1 Thus thus RB 39713 4898 2 , , , 39713 4898 3 in in IN 39713 4898 4 what what WP 39713 4898 5 concerns concern VBZ 39713 4898 6 the the DT 39713 4898 7 origin origin NN 39713 4898 8 of of IN 39713 4898 9 life life NN 39713 4898 10 , , , 39713 4898 11 we -PRON- PRP 39713 4898 12 may may MD 39713 4898 13 conclude conclude VB 39713 4898 14 that that IN 39713 4898 15 there there EX 39713 4898 16 have have VBP 39713 4898 17 always always RB 39713 4898 18 been be VBN 39713 4898 19 living live VBG 39713 4898 20 beings being NNS 39713 4898 21 , , , 39713 4898 22 since since IN 39713 4898 23 the the DT 39713 4898 24 present present JJ 39713 4898 25 world world NN 39713 4898 26 shows show VBZ 39713 4898 27 us -PRON- PRP 39713 4898 28 always always RB 39713 4898 29 life life NN 39713 4898 30 springing spring VBG 39713 4898 31 from from IN 39713 4898 32 life life NN 39713 4898 33 ; ; : 39713 4898 34 and and CC 39713 4898 35 we -PRON- PRP 39713 4898 36 may may MD 39713 4898 37 also also RB 39713 4898 38 conclude conclude VB 39713 4898 39 that that IN 39713 4898 40 there there EX 39713 4898 41 have have VBP 39713 4898 42 not not RB 39713 4898 43 always always RB 39713 4898 44 been be VBN 39713 4898 45 , , , 39713 4898 46 since since IN 39713 4898 47 the the DT 39713 4898 48 application application NN 39713 4898 49 of of IN 39713 4898 50 the the DT 39713 4898 51 existent existent NN 39713 4898 52 laws law NNS 39713 4898 53 of of IN 39713 4898 54 physics physics NN 39713 4898 55 to to IN 39713 4898 56 the the DT 39713 4898 57 present present JJ 39713 4898 58 state state NN 39713 4898 59 of of IN 39713 4898 60 our -PRON- PRP$ 39713 4898 61 globe globe NN 39713 4898 62 teaches teach VBZ 39713 4898 63 us -PRON- PRP 39713 4898 64 that that IN 39713 4898 65 there there EX 39713 4898 66 was be VBD 39713 4898 67 a a DT 39713 4898 68 time time NN 39713 4898 69 when when WRB 39713 4898 70 this this DT 39713 4898 71 globe globe NN 39713 4898 72 was be VBD 39713 4898 73 so so RB 39713 4898 74 warm warm JJ 39713 4898 75 that that IN 39713 4898 76 life life NN 39713 4898 77 on on IN 39713 4898 78 it -PRON- PRP 39713 4898 79 was be VBD 39713 4898 80 impossible impossible JJ 39713 4898 81 . . . 39713 4899 1 But but CC 39713 4899 2 contradictions contradiction NNS 39713 4899 3 of of IN 39713 4899 4 this this DT 39713 4899 5 sort sort NN 39713 4899 6 can can MD 39713 4899 7 always always RB 39713 4899 8 be be VB 39713 4899 9 removed remove VBN 39713 4899 10 in in IN 39713 4899 11 two two CD 39713 4899 12 ways way NNS 39713 4899 13 ; ; : 39713 4899 14 it -PRON- PRP 39713 4899 15 may may MD 39713 4899 16 be be VB 39713 4899 17 supposed suppose VBN 39713 4899 18 that that IN 39713 4899 19 the the DT 39713 4899 20 actual actual JJ 39713 4899 21 laws law NNS 39713 4899 22 of of IN 39713 4899 23 nature nature NN 39713 4899 24 are be VBP 39713 4899 25 not not RB 39713 4899 26 exactly exactly RB 39713 4899 27 what what WP 39713 4899 28 we -PRON- PRP 39713 4899 29 have have VBP 39713 4899 30 assumed assume VBN 39713 4899 31 ; ; : 39713 4899 32 or or CC 39713 4899 33 else else RB 39713 4899 34 it -PRON- PRP 39713 4899 35 may may MD 39713 4899 36 be be VB 39713 4899 37 supposed suppose VBN 39713 4899 38 that that IN 39713 4899 39 the the DT 39713 4899 40 laws law NNS 39713 4899 41 of of IN 39713 4899 42 nature nature NN 39713 4899 43 actually actually RB 39713 4899 44 are be VBP 39713 4899 45 what what WP 39713 4899 46 we -PRON- PRP 39713 4899 47 have have VBP 39713 4899 48 assumed assume VBN 39713 4899 49 , , , 39713 4899 50 but but CC 39713 4899 51 that that IN 39713 4899 52 it -PRON- PRP 39713 4899 53 has have VBZ 39713 4899 54 not not RB 39713 4899 55 always always RB 39713 4899 56 been be VBN 39713 4899 57 so so RB 39713 4899 58 . . . 39713 4900 1 It -PRON- PRP 39713 4900 2 is be VBZ 39713 4900 3 evident evident JJ 39713 4900 4 that that IN 39713 4900 5 the the DT 39713 4900 6 actual actual JJ 39713 4900 7 laws law NNS 39713 4900 8 will will MD 39713 4900 9 never never RB 39713 4900 10 be be VB 39713 4900 11 sufficiently sufficiently RB 39713 4900 12 well well RB 39713 4900 13 known known JJ 39713 4900 14 for for IN 39713 4900 15 us -PRON- PRP 39713 4900 16 not not RB 39713 4900 17 to to TO 39713 4900 18 be be VB 39713 4900 19 able able JJ 39713 4900 20 to to TO 39713 4900 21 adopt adopt VB 39713 4900 22 the the DT 39713 4900 23 first first JJ 39713 4900 24 of of IN 39713 4900 25 these these DT 39713 4900 26 two two CD 39713 4900 27 solutions solution NNS 39713 4900 28 and and CC 39713 4900 29 for for IN 39713 4900 30 us -PRON- PRP 39713 4900 31 to to TO 39713 4900 32 be be VB 39713 4900 33 constrained constrain VBN 39713 4900 34 to to TO 39713 4900 35 infer infer VB 39713 4900 36 the the DT 39713 4900 37 evolution evolution NN 39713 4900 38 of of IN 39713 4900 39 natural natural JJ 39713 4900 40 laws law NNS 39713 4900 41 . . . 39713 4901 1 On on IN 39713 4901 2 the the DT 39713 4901 3 other other JJ 39713 4901 4 hand hand NN 39713 4901 5 , , , 39713 4901 6 suppose suppose VB 39713 4901 7 such such PDT 39713 4901 8 an an DT 39713 4901 9 evolution evolution NN 39713 4901 10 ; ; : 39713 4901 11 assume assume VB 39713 4901 12 , , , 39713 4901 13 if if IN 39713 4901 14 you -PRON- PRP 39713 4901 15 wish wish VBP 39713 4901 16 , , , 39713 4901 17 that that IN 39713 4901 18 humanity humanity NN 39713 4901 19 lasts last VBZ 39713 4901 20 sufficiently sufficiently RB 39713 4901 21 long long RB 39713 4901 22 for for IN 39713 4901 23 this this DT 39713 4901 24 evolution evolution NN 39713 4901 25 to to TO 39713 4901 26 have have VB 39713 4901 27 witnesses witness NNS 39713 4901 28 . . . 39713 4902 1 The the DT 39713 4902 2 _ _ NNP 39713 4902 3 same same JJ 39713 4902 4 _ _ NNP 39713 4902 5 antecedent antecedent NN 39713 4902 6 shall shall MD 39713 4902 7 produce produce VB 39713 4902 8 , , , 39713 4902 9 for for IN 39713 4902 10 instance instance NN 39713 4902 11 , , , 39713 4902 12 different different JJ 39713 4902 13 consequents consequent NNS 39713 4902 14 at at IN 39713 4902 15 the the DT 39713 4902 16 Carboniferous carboniferous JJ 39713 4902 17 epoch epoch NN 39713 4902 18 and and CC 39713 4902 19 at at IN 39713 4902 20 the the DT 39713 4902 21 Quaternary Quaternary NNP 39713 4902 22 . . . 39713 4903 1 That that DT 39713 4903 2 evidently evidently RB 39713 4903 3 means mean VBZ 39713 4903 4 that that IN 39713 4903 5 the the DT 39713 4903 6 antecedents antecedent NNS 39713 4903 7 are be VBP 39713 4903 8 closely closely RB 39713 4903 9 alike alike JJ 39713 4903 10 ; ; : 39713 4903 11 if if IN 39713 4903 12 all all PDT 39713 4903 13 the the DT 39713 4903 14 circumstances circumstance NNS 39713 4903 15 were be VBD 39713 4903 16 identical identical JJ 39713 4903 17 , , , 39713 4903 18 the the DT 39713 4903 19 Carboniferous carboniferous JJ 39713 4903 20 epoch epoch NN 39713 4903 21 would would MD 39713 4903 22 be be VB 39713 4903 23 indistinguishable indistinguishable JJ 39713 4903 24 from from IN 39713 4903 25 the the DT 39713 4903 26 Quaternary Quaternary NNP 39713 4903 27 . . . 39713 4904 1 Evidently evidently RB 39713 4904 2 this this DT 39713 4904 3 is be VBZ 39713 4904 4 not not RB 39713 4904 5 what what WP 39713 4904 6 is be VBZ 39713 4904 7 supposed suppose VBN 39713 4904 8 . . . 39713 4905 1 What what WP 39713 4905 2 remains remain VBZ 39713 4905 3 is be VBZ 39713 4905 4 that that IN 39713 4905 5 such such JJ 39713 4905 6 antecedent antecedent NN 39713 4905 7 , , , 39713 4905 8 accompanied accompany VBN 39713 4905 9 by by IN 39713 4905 10 such such JJ 39713 4905 11 accessory accessory JJ 39713 4905 12 circumstance circumstance NN 39713 4905 13 , , , 39713 4905 14 produces produce VBZ 39713 4905 15 such such JJ 39713 4905 16 consequent consequent NN 39713 4905 17 ; ; : 39713 4905 18 and and CC 39713 4905 19 that that IN 39713 4905 20 the the DT 39713 4905 21 same same JJ 39713 4905 22 antecedent antecedent NN 39713 4905 23 , , , 39713 4905 24 accompanied accompany VBN 39713 4905 25 by by IN 39713 4905 26 such such JJ 39713 4905 27 other other JJ 39713 4905 28 accessory accessory NN 39713 4905 29 circumstance circumstance NN 39713 4905 30 , , , 39713 4905 31 produces produce VBZ 39713 4905 32 such such JJ 39713 4905 33 other other JJ 39713 4905 34 consequent consequent NN 39713 4905 35 . . . 39713 4906 1 Time time NN 39713 4906 2 does do VBZ 39713 4906 3 not not RB 39713 4906 4 enter enter VB 39713 4906 5 into into IN 39713 4906 6 the the DT 39713 4906 7 affair affair NN 39713 4906 8 . . . 39713 4907 1 The the DT 39713 4907 2 law law NN 39713 4907 3 , , , 39713 4907 4 such such JJ 39713 4907 5 as as IN 39713 4907 6 ill ill RB 39713 4907 7 - - HYPH 39713 4907 8 informed inform VBN 39713 4907 9 science science NN 39713 4907 10 would would MD 39713 4907 11 have have VB 39713 4907 12 stated state VBN 39713 4907 13 it -PRON- PRP 39713 4907 14 , , , 39713 4907 15 and and CC 39713 4907 16 which which WDT 39713 4907 17 would would MD 39713 4907 18 have have VB 39713 4907 19 affirmed affirm VBN 39713 4907 20 that that IN 39713 4907 21 this this DT 39713 4907 22 antecedent antecedent NN 39713 4907 23 always always RB 39713 4907 24 produces produce VBZ 39713 4907 25 this this DT 39713 4907 26 consequent consequent NN 39713 4907 27 , , , 39713 4907 28 without without IN 39713 4907 29 taking take VBG 39713 4907 30 account account NN 39713 4907 31 of of IN 39713 4907 32 the the DT 39713 4907 33 accessory accessory JJ 39713 4907 34 circumstances circumstance NNS 39713 4907 35 , , , 39713 4907 36 this this DT 39713 4907 37 law law NN 39713 4907 38 , , , 39713 4907 39 which which WDT 39713 4907 40 was be VBD 39713 4907 41 only only RB 39713 4907 42 approximate approximate JJ 39713 4907 43 and and CC 39713 4907 44 probable probable JJ 39713 4907 45 , , , 39713 4907 46 must must MD 39713 4907 47 be be VB 39713 4907 48 replaced replace VBN 39713 4907 49 by by IN 39713 4907 50 another another DT 39713 4907 51 law law NN 39713 4907 52 more more RBR 39713 4907 53 approximate approximate JJ 39713 4907 54 and and CC 39713 4907 55 more more RBR 39713 4907 56 probable probable JJ 39713 4907 57 , , , 39713 4907 58 which which WDT 39713 4907 59 brings bring VBZ 39713 4907 60 in in RP 39713 4907 61 these these DT 39713 4907 62 accessory accessory JJ 39713 4907 63 circumstances circumstance NNS 39713 4907 64 . . . 39713 4908 1 We -PRON- PRP 39713 4908 2 always always RB 39713 4908 3 come come VBP 39713 4908 4 back back RB 39713 4908 5 , , , 39713 4908 6 therefore therefore RB 39713 4908 7 , , , 39713 4908 8 to to IN 39713 4908 9 that that DT 39713 4908 10 same same JJ 39713 4908 11 process process NN 39713 4908 12 which which WDT 39713 4908 13 we -PRON- PRP 39713 4908 14 have have VBP 39713 4908 15 analyzed analyze VBN 39713 4908 16 above above RB 39713 4908 17 , , , 39713 4908 18 and and CC 39713 4908 19 if if IN 39713 4908 20 humanity humanity NN 39713 4908 21 should should MD 39713 4908 22 discover discover VB 39713 4908 23 something something NN 39713 4908 24 of of IN 39713 4908 25 this this DT 39713 4908 26 sort sort NN 39713 4908 27 , , , 39713 4908 28 it -PRON- PRP 39713 4908 29 would would MD 39713 4908 30 not not RB 39713 4908 31 say say VB 39713 4908 32 that that IN 39713 4908 33 it -PRON- PRP 39713 4908 34 is be VBZ 39713 4908 35 the the DT 39713 4908 36 laws law NNS 39713 4908 37 which which WDT 39713 4908 38 have have VBP 39713 4908 39 evoluted evolute VBN 39713 4908 40 , , , 39713 4908 41 but but CC 39713 4908 42 the the DT 39713 4908 43 circumstances circumstance NNS 39713 4908 44 which which WDT 39713 4908 45 have have VBP 39713 4908 46 changed change VBN 39713 4908 47 . . . 39713 4909 1 Here here RB 39713 4909 2 , , , 39713 4909 3 therefore therefore RB 39713 4909 4 , , , 39713 4909 5 are be VBP 39713 4909 6 several several JJ 39713 4909 7 different different JJ 39713 4909 8 senses sense NNS 39713 4909 9 of of IN 39713 4909 10 the the DT 39713 4909 11 word word NN 39713 4909 12 contingence contingence NN 39713 4909 13 . . . 39713 4910 1 M. M. NNP 39713 4910 2 LeRoy LeRoy NNP 39713 4910 3 retains retain VBZ 39713 4910 4 them -PRON- PRP 39713 4910 5 all all DT 39713 4910 6 and and CC 39713 4910 7 he -PRON- PRP 39713 4910 8 does do VBZ 39713 4910 9 not not RB 39713 4910 10 sufficiently sufficiently RB 39713 4910 11 distinguish distinguish VB 39713 4910 12 them -PRON- PRP 39713 4910 13 , , , 39713 4910 14 but but CC 39713 4910 15 he -PRON- PRP 39713 4910 16 introduces introduce VBZ 39713 4910 17 a a DT 39713 4910 18 new new JJ 39713 4910 19 one one NN 39713 4910 20 . . . 39713 4911 1 Experimental experimental JJ 39713 4911 2 laws law NNS 39713 4911 3 are be VBP 39713 4911 4 only only RB 39713 4911 5 approximate approximate JJ 39713 4911 6 , , , 39713 4911 7 and and CC 39713 4911 8 if if IN 39713 4911 9 some some DT 39713 4911 10 appear appear VBP 39713 4911 11 to to IN 39713 4911 12 us -PRON- PRP 39713 4911 13 as as IN 39713 4911 14 exact exact JJ 39713 4911 15 , , , 39713 4911 16 it -PRON- PRP 39713 4911 17 is be VBZ 39713 4911 18 because because IN 39713 4911 19 we -PRON- PRP 39713 4911 20 have have VBP 39713 4911 21 artificially artificially RB 39713 4911 22 transformed transform VBN 39713 4911 23 them -PRON- PRP 39713 4911 24 into into IN 39713 4911 25 what what WP 39713 4911 26 I -PRON- PRP 39713 4911 27 have have VBP 39713 4911 28 above above RB 39713 4911 29 called call VBN 39713 4911 30 a a DT 39713 4911 31 principle principle NN 39713 4911 32 . . . 39713 4912 1 We -PRON- PRP 39713 4912 2 have have VBP 39713 4912 3 made make VBN 39713 4912 4 this this DT 39713 4912 5 transformation transformation NN 39713 4912 6 freely freely RB 39713 4912 7 , , , 39713 4912 8 and and CC 39713 4912 9 as as IN 39713 4912 10 the the DT 39713 4912 11 caprice caprice NN 39713 4912 12 which which WDT 39713 4912 13 has have VBZ 39713 4912 14 determined determine VBN 39713 4912 15 us -PRON- PRP 39713 4912 16 to to TO 39713 4912 17 make make VB 39713 4912 18 it -PRON- PRP 39713 4912 19 is be VBZ 39713 4912 20 something something NN 39713 4912 21 eminently eminently RB 39713 4912 22 contingent contingent JJ 39713 4912 23 , , , 39713 4912 24 we -PRON- PRP 39713 4912 25 have have VBP 39713 4912 26 communicated communicate VBN 39713 4912 27 this this DT 39713 4912 28 contingence contingence NN 39713 4912 29 to to IN 39713 4912 30 the the DT 39713 4912 31 law law NN 39713 4912 32 itself -PRON- PRP 39713 4912 33 . . . 39713 4913 1 It -PRON- PRP 39713 4913 2 is be VBZ 39713 4913 3 in in IN 39713 4913 4 this this DT 39713 4913 5 sense sense NN 39713 4913 6 that that IN 39713 4913 7 we -PRON- PRP 39713 4913 8 have have VBP 39713 4913 9 the the DT 39713 4913 10 right right NN 39713 4913 11 to to TO 39713 4913 12 say say VB 39713 4913 13 that that IN 39713 4913 14 determinism determinism NN 39713 4913 15 supposes suppose VBZ 39713 4913 16 freedom freedom NN 39713 4913 17 , , , 39713 4913 18 since since IN 39713 4913 19 it -PRON- PRP 39713 4913 20 is be VBZ 39713 4913 21 freely freely RB 39713 4913 22 that that IN 39713 4913 23 we -PRON- PRP 39713 4913 24 become become VBP 39713 4913 25 determinists determinist NNS 39713 4913 26 . . . 39713 4914 1 Perhaps perhaps RB 39713 4914 2 it -PRON- PRP 39713 4914 3 will will MD 39713 4914 4 be be VB 39713 4914 5 found find VBN 39713 4914 6 that that IN 39713 4914 7 this this DT 39713 4914 8 is be VBZ 39713 4914 9 to to TO 39713 4914 10 give give VB 39713 4914 11 large large JJ 39713 4914 12 scope scope NN 39713 4914 13 to to IN 39713 4914 14 nominalism nominalism NN 39713 4914 15 and and CC 39713 4914 16 that that IN 39713 4914 17 the the DT 39713 4914 18 introduction introduction NN 39713 4914 19 of of IN 39713 4914 20 this this DT 39713 4914 21 new new JJ 39713 4914 22 sense sense NN 39713 4914 23 of of IN 39713 4914 24 the the DT 39713 4914 25 word word NN 39713 4914 26 contingence contingence NN 39713 4914 27 will will MD 39713 4914 28 not not RB 39713 4914 29 help help VB 39713 4914 30 much much JJ 39713 4914 31 to to TO 39713 4914 32 solve solve VB 39713 4914 33 all all PDT 39713 4914 34 those those DT 39713 4914 35 questions question NNS 39713 4914 36 which which WDT 39713 4914 37 naturally naturally RB 39713 4914 38 arise arise VBP 39713 4914 39 and and CC 39713 4914 40 of of IN 39713 4914 41 which which WDT 39713 4914 42 we -PRON- PRP 39713 4914 43 have have VBP 39713 4914 44 just just RB 39713 4914 45 been be VBN 39713 4914 46 speaking speak VBG 39713 4914 47 . . . 39713 4915 1 I -PRON- PRP 39713 4915 2 do do VBP 39713 4915 3 not not RB 39713 4915 4 at at RB 39713 4915 5 all all RB 39713 4915 6 wish wish VB 39713 4915 7 to to TO 39713 4915 8 investigate investigate VB 39713 4915 9 here here RB 39713 4915 10 the the DT 39713 4915 11 foundations foundation NNS 39713 4915 12 of of IN 39713 4915 13 the the DT 39713 4915 14 principle principle NN 39713 4915 15 of of IN 39713 4915 16 induction induction NN 39713 4915 17 ; ; : 39713 4915 18 I -PRON- PRP 39713 4915 19 know know VBP 39713 4915 20 very very RB 39713 4915 21 well well RB 39713 4915 22 that that IN 39713 4915 23 I -PRON- PRP 39713 4915 24 should should MD 39713 4915 25 not not RB 39713 4915 26 succeed succeed VB 39713 4915 27 ; ; : 39713 4915 28 it -PRON- PRP 39713 4915 29 is be VBZ 39713 4915 30 as as RB 39713 4915 31 difficult difficult JJ 39713 4915 32 to to TO 39713 4915 33 justify justify VB 39713 4915 34 this this DT 39713 4915 35 principle principle NN 39713 4915 36 as as IN 39713 4915 37 to to TO 39713 4915 38 get get VB 39713 4915 39 on on RP 39713 4915 40 without without IN 39713 4915 41 it -PRON- PRP 39713 4915 42 . . . 39713 4916 1 I -PRON- PRP 39713 4916 2 only only RB 39713 4916 3 wish wish VBP 39713 4916 4 to to TO 39713 4916 5 show show VB 39713 4916 6 how how WRB 39713 4916 7 scientists scientist NNS 39713 4916 8 apply apply VBP 39713 4916 9 it -PRON- PRP 39713 4916 10 and and CC 39713 4916 11 are be VBP 39713 4916 12 forced force VBN 39713 4916 13 to to TO 39713 4916 14 apply apply VB 39713 4916 15 it -PRON- PRP 39713 4916 16 . . . 39713 4917 1 When when WRB 39713 4917 2 the the DT 39713 4917 3 same same JJ 39713 4917 4 antecedent antecedent NN 39713 4917 5 recurs recur VBZ 39713 4917 6 , , , 39713 4917 7 the the DT 39713 4917 8 same same JJ 39713 4917 9 consequent consequent NN 39713 4917 10 must must MD 39713 4917 11 likewise likewise RB 39713 4917 12 recur recur VB 39713 4917 13 ; ; : 39713 4917 14 such such JJ 39713 4917 15 is be VBZ 39713 4917 16 the the DT 39713 4917 17 ordinary ordinary JJ 39713 4917 18 statement statement NN 39713 4917 19 . . . 39713 4918 1 But but CC 39713 4918 2 reduced reduce VBN 39713 4918 3 to to IN 39713 4918 4 these these DT 39713 4918 5 terms term NNS 39713 4918 6 this this DT 39713 4918 7 principle principle NN 39713 4918 8 could could MD 39713 4918 9 be be VB 39713 4918 10 of of IN 39713 4918 11 no no DT 39713 4918 12 use use NN 39713 4918 13 . . . 39713 4919 1 For for IN 39713 4919 2 one one CD 39713 4919 3 to to TO 39713 4919 4 be be VB 39713 4919 5 able able JJ 39713 4919 6 to to TO 39713 4919 7 say say VB 39713 4919 8 that that IN 39713 4919 9 the the DT 39713 4919 10 same same JJ 39713 4919 11 antecedent antecedent NN 39713 4919 12 recurred recur VBD 39713 4919 13 , , , 39713 4919 14 it -PRON- PRP 39713 4919 15 would would MD 39713 4919 16 be be VB 39713 4919 17 necessary necessary JJ 39713 4919 18 for for IN 39713 4919 19 the the DT 39713 4919 20 circumstances circumstance NNS 39713 4919 21 _ _ NNP 39713 4919 22 all all DT 39713 4919 23 _ _ NNP 39713 4919 24 to to TO 39713 4919 25 be be VB 39713 4919 26 reproduced reproduce VBN 39713 4919 27 , , , 39713 4919 28 since since IN 39713 4919 29 no no DT 39713 4919 30 one one NN 39713 4919 31 is be VBZ 39713 4919 32 absolutely absolutely RB 39713 4919 33 indifferent indifferent JJ 39713 4919 34 , , , 39713 4919 35 and and CC 39713 4919 36 for for IN 39713 4919 37 them -PRON- PRP 39713 4919 38 to to TO 39713 4919 39 be be VB 39713 4919 40 _ _ NNP 39713 4919 41 exactly exactly RB 39713 4919 42 _ _ NNP 39713 4919 43 reproduced reproduce VBD 39713 4919 44 . . . 39713 4920 1 And and CC 39713 4920 2 , , , 39713 4920 3 as as IN 39713 4920 4 that that DT 39713 4920 5 will will MD 39713 4920 6 never never RB 39713 4920 7 happen happen VB 39713 4920 8 , , , 39713 4920 9 the the DT 39713 4920 10 principle principle NN 39713 4920 11 can can MD 39713 4920 12 have have VB 39713 4920 13 no no DT 39713 4920 14 application application NN 39713 4920 15 . . . 39713 4921 1 We -PRON- PRP 39713 4921 2 should should MD 39713 4921 3 therefore therefore RB 39713 4921 4 modify modify VB 39713 4921 5 the the DT 39713 4921 6 enunciation enunciation NN 39713 4921 7 and and CC 39713 4921 8 say say VB 39713 4921 9 : : : 39713 4921 10 If if IN 39713 4921 11 an an DT 39713 4921 12 antecedent antecedent NN 39713 4921 13 _ _ NNP 39713 4921 14 A A NNP 39713 4921 15 _ _ NNP 39713 4921 16 has have VBZ 39713 4921 17 once once RB 39713 4921 18 produced produce VBN 39713 4921 19 a a DT 39713 4921 20 consequent consequent NN 39713 4921 21 _ _ NNP 39713 4921 22 B B NNP 39713 4921 23 _ _ NNP 39713 4921 24 , , , 39713 4921 25 an an DT 39713 4921 26 antecedent antecedent NN 39713 4921 27 _ _ NNP 39713 4921 28 A A NNP 39713 4921 29 ' ' '' 39713 4921 30 _ _ NNP 39713 4921 31 , , , 39713 4921 32 slightly slightly RB 39713 4921 33 different different JJ 39713 4921 34 from from IN 39713 4921 35 _ _ NNP 39713 4921 36 A A NNP 39713 4921 37 _ _ NNP 39713 4921 38 , , , 39713 4921 39 will will MD 39713 4921 40 produce produce VB 39713 4921 41 a a DT 39713 4921 42 consequent consequent NN 39713 4921 43 _ _ NNP 39713 4921 44 B B NNP 39713 4921 45 ' ' '' 39713 4921 46 _ _ NNP 39713 4921 47 , , , 39713 4921 48 slightly slightly RB 39713 4921 49 different different JJ 39713 4921 50 from from IN 39713 4921 51 _ _ NNP 39713 4921 52 B B NNP 39713 4921 53 _ _ NNP 39713 4921 54 . . . 39713 4922 1 But but CC 39713 4922 2 how how WRB 39713 4922 3 shall shall MD 39713 4922 4 we -PRON- PRP 39713 4922 5 recognize recognize VB 39713 4922 6 that that IN 39713 4922 7 the the DT 39713 4922 8 antecedents antecedent NNS 39713 4922 9 _ _ NNP 39713 4922 10 A A NNP 39713 4922 11 _ _ NNP 39713 4922 12 and and CC 39713 4922 13 _ _ NNP 39713 4922 14 A A NNP 39713 4922 15 ' ' '' 39713 4922 16 _ _ NNP 39713 4922 17 are be VBP 39713 4922 18 ' ' `` 39713 4922 19 slightly slightly RB 39713 4922 20 different different JJ 39713 4922 21 ' ' '' 39713 4922 22 ? ? . 39713 4923 1 If if IN 39713 4923 2 some some DT 39713 4923 3 one one CD 39713 4923 4 of of IN 39713 4923 5 the the DT 39713 4923 6 circumstances circumstance NNS 39713 4923 7 can can MD 39713 4923 8 be be VB 39713 4923 9 expressed express VBN 39713 4923 10 by by IN 39713 4923 11 a a DT 39713 4923 12 number number NN 39713 4923 13 , , , 39713 4923 14 and and CC 39713 4923 15 this this DT 39713 4923 16 number number NN 39713 4923 17 has have VBZ 39713 4923 18 in in IN 39713 4923 19 the the DT 39713 4923 20 two two CD 39713 4923 21 cases case NNS 39713 4923 22 values value NNS 39713 4923 23 very very RB 39713 4923 24 near near RB 39713 4923 25 together together RB 39713 4923 26 , , , 39713 4923 27 the the DT 39713 4923 28 sense sense NN 39713 4923 29 of of IN 39713 4923 30 the the DT 39713 4923 31 phrase phrase NN 39713 4923 32 ' ' `` 39713 4923 33 slightly slightly RB 39713 4923 34 different different JJ 39713 4923 35 ' ' '' 39713 4923 36 is be VBZ 39713 4923 37 relatively relatively RB 39713 4923 38 clear clear JJ 39713 4923 39 ; ; : 39713 4923 40 the the DT 39713 4923 41 principle principle NN 39713 4923 42 then then RB 39713 4923 43 signifies signify VBZ 39713 4923 44 that that IN 39713 4923 45 the the DT 39713 4923 46 consequent consequent NN 39713 4923 47 is be VBZ 39713 4923 48 a a DT 39713 4923 49 continuous continuous JJ 39713 4923 50 function function NN 39713 4923 51 of of IN 39713 4923 52 the the DT 39713 4923 53 antecedent antecedent NN 39713 4923 54 . . . 39713 4924 1 And and CC 39713 4924 2 as as IN 39713 4924 3 a a DT 39713 4924 4 practical practical JJ 39713 4924 5 rule rule NN 39713 4924 6 , , , 39713 4924 7 we -PRON- PRP 39713 4924 8 reach reach VBP 39713 4924 9 this this DT 39713 4924 10 conclusion conclusion NN 39713 4924 11 that that IN 39713 4924 12 we -PRON- PRP 39713 4924 13 have have VBP 39713 4924 14 the the DT 39713 4924 15 right right NN 39713 4924 16 to to TO 39713 4924 17 interpolate interpolate VB 39713 4924 18 . . . 39713 4925 1 This this DT 39713 4925 2 is be VBZ 39713 4925 3 in in IN 39713 4925 4 fact fact NN 39713 4925 5 what what WDT 39713 4925 6 scientists scientist NNS 39713 4925 7 do do VBP 39713 4925 8 every every DT 39713 4925 9 day day NN 39713 4925 10 , , , 39713 4925 11 and and CC 39713 4925 12 without without IN 39713 4925 13 interpolation interpolation NN 39713 4925 14 all all DT 39713 4925 15 science science NN 39713 4925 16 would would MD 39713 4925 17 be be VB 39713 4925 18 impossible impossible JJ 39713 4925 19 . . . 39713 4926 1 Yet yet RB 39713 4926 2 observe observe VB 39713 4926 3 one one CD 39713 4926 4 thing thing NN 39713 4926 5 . . . 39713 4927 1 The the DT 39713 4927 2 law law NN 39713 4927 3 sought seek VBD 39713 4927 4 may may MD 39713 4927 5 be be VB 39713 4927 6 represented represent VBN 39713 4927 7 by by IN 39713 4927 8 a a DT 39713 4927 9 curve curve NN 39713 4927 10 . . . 39713 4928 1 Experiment experiment NN 39713 4928 2 has have VBZ 39713 4928 3 taught teach VBN 39713 4928 4 us -PRON- PRP 39713 4928 5 certain certain JJ 39713 4928 6 points point NNS 39713 4928 7 of of IN 39713 4928 8 this this DT 39713 4928 9 curve curve NN 39713 4928 10 . . . 39713 4929 1 In in IN 39713 4929 2 virtue virtue NN 39713 4929 3 of of IN 39713 4929 4 the the DT 39713 4929 5 principle principle NN 39713 4929 6 we -PRON- PRP 39713 4929 7 have have VBP 39713 4929 8 just just RB 39713 4929 9 stated state VBN 39713 4929 10 , , , 39713 4929 11 we -PRON- PRP 39713 4929 12 believe believe VBP 39713 4929 13 these these DT 39713 4929 14 points point NNS 39713 4929 15 may may MD 39713 4929 16 be be VB 39713 4929 17 connected connect VBN 39713 4929 18 by by IN 39713 4929 19 a a DT 39713 4929 20 continuous continuous JJ 39713 4929 21 graph graph NN 39713 4929 22 . . . 39713 4930 1 We -PRON- PRP 39713 4930 2 trace trace VBP 39713 4930 3 this this DT 39713 4930 4 graph graph NN 39713 4930 5 with with IN 39713 4930 6 the the DT 39713 4930 7 eye eye NN 39713 4930 8 . . . 39713 4931 1 New new JJ 39713 4931 2 experiments experiment NNS 39713 4931 3 will will MD 39713 4931 4 furnish furnish VB 39713 4931 5 us -PRON- PRP 39713 4931 6 new new JJ 39713 4931 7 points point NNS 39713 4931 8 of of IN 39713 4931 9 the the DT 39713 4931 10 curve curve NN 39713 4931 11 . . . 39713 4932 1 If if IN 39713 4932 2 these these DT 39713 4932 3 points point NNS 39713 4932 4 are be VBP 39713 4932 5 outside outside IN 39713 4932 6 of of IN 39713 4932 7 the the DT 39713 4932 8 graph graph NN 39713 4932 9 traced trace VBN 39713 4932 10 in in IN 39713 4932 11 advance advance NN 39713 4932 12 , , , 39713 4932 13 we -PRON- PRP 39713 4932 14 shall shall MD 39713 4932 15 have have VB 39713 4932 16 to to TO 39713 4932 17 modify modify VB 39713 4932 18 our -PRON- PRP$ 39713 4932 19 curve curve NN 39713 4932 20 , , , 39713 4932 21 but but CC 39713 4932 22 not not RB 39713 4932 23 to to TO 39713 4932 24 abandon abandon VB 39713 4932 25 our -PRON- PRP$ 39713 4932 26 principle principle NN 39713 4932 27 . . . 39713 4933 1 Through through IN 39713 4933 2 any any DT 39713 4933 3 points point NNS 39713 4933 4 , , , 39713 4933 5 however however RB 39713 4933 6 numerous numerous JJ 39713 4933 7 they -PRON- PRP 39713 4933 8 may may MD 39713 4933 9 be be VB 39713 4933 10 , , , 39713 4933 11 a a DT 39713 4933 12 continuous continuous JJ 39713 4933 13 curve curve NN 39713 4933 14 may may MD 39713 4933 15 always always RB 39713 4933 16 be be VB 39713 4933 17 passed pass VBN 39713 4933 18 . . . 39713 4934 1 Doubtless doubtless RB 39713 4934 2 , , , 39713 4934 3 if if IN 39713 4934 4 this this DT 39713 4934 5 curve curve NN 39713 4934 6 is be VBZ 39713 4934 7 too too RB 39713 4934 8 capricious capricious JJ 39713 4934 9 , , , 39713 4934 10 we -PRON- PRP 39713 4934 11 shall shall MD 39713 4934 12 be be VB 39713 4934 13 shocked shock VBN 39713 4934 14 ( ( -LRB- 39713 4934 15 and and CC 39713 4934 16 we -PRON- PRP 39713 4934 17 shall shall MD 39713 4934 18 even even RB 39713 4934 19 suspect suspect VB 39713 4934 20 errors error NNS 39713 4934 21 of of IN 39713 4934 22 experiment experiment NN 39713 4934 23 ) ) -RRB- 39713 4934 24 , , , 39713 4934 25 but but CC 39713 4934 26 the the DT 39713 4934 27 principle principle NN 39713 4934 28 will will MD 39713 4934 29 not not RB 39713 4934 30 be be VB 39713 4934 31 directly directly RB 39713 4934 32 put put VBN 39713 4934 33 at at IN 39713 4934 34 fault fault NN 39713 4934 35 . . . 39713 4935 1 Furthermore furthermore RB 39713 4935 2 , , , 39713 4935 3 among among IN 39713 4935 4 the the DT 39713 4935 5 circumstances circumstance NNS 39713 4935 6 of of IN 39713 4935 7 a a DT 39713 4935 8 phenomenon phenomenon NN 39713 4935 9 , , , 39713 4935 10 there there EX 39713 4935 11 are be VBP 39713 4935 12 some some DT 39713 4935 13 that that WDT 39713 4935 14 we -PRON- PRP 39713 4935 15 regard regard VBP 39713 4935 16 as as IN 39713 4935 17 negligible negligible JJ 39713 4935 18 , , , 39713 4935 19 and and CC 39713 4935 20 we -PRON- PRP 39713 4935 21 shall shall MD 39713 4935 22 consider consider VB 39713 4935 23 _ _ NNP 39713 4935 24 A A NNP 39713 4935 25 _ _ NNP 39713 4935 26 and and CC 39713 4935 27 _ _ NNP 39713 4935 28 A A NNP 39713 4935 29 ' ' '' 39713 4935 30 _ _ NNP 39713 4935 31 as as RB 39713 4935 32 slightly slightly RB 39713 4935 33 different different JJ 39713 4935 34 if if IN 39713 4935 35 they -PRON- PRP 39713 4935 36 differ differ VBP 39713 4935 37 only only RB 39713 4935 38 by by IN 39713 4935 39 these these DT 39713 4935 40 accessory accessory JJ 39713 4935 41 circumstances circumstance NNS 39713 4935 42 . . . 39713 4936 1 For for IN 39713 4936 2 instance instance NN 39713 4936 3 , , , 39713 4936 4 I -PRON- PRP 39713 4936 5 have have VBP 39713 4936 6 ascertained ascertain VBN 39713 4936 7 that that IN 39713 4936 8 hydrogen hydrogen NN 39713 4936 9 unites unite VBZ 39713 4936 10 with with IN 39713 4936 11 oxygen oxygen NN 39713 4936 12 under under IN 39713 4936 13 the the DT 39713 4936 14 influence influence NN 39713 4936 15 of of IN 39713 4936 16 the the DT 39713 4936 17 electric electric JJ 39713 4936 18 spark spark NN 39713 4936 19 , , , 39713 4936 20 and and CC 39713 4936 21 I -PRON- PRP 39713 4936 22 am be VBP 39713 4936 23 certain certain JJ 39713 4936 24 that that IN 39713 4936 25 these these DT 39713 4936 26 two two CD 39713 4936 27 gases gas NNS 39713 4936 28 will will MD 39713 4936 29 unite unite VB 39713 4936 30 anew anew RB 39713 4936 31 , , , 39713 4936 32 although although IN 39713 4936 33 the the DT 39713 4936 34 longitude longitude NN 39713 4936 35 of of IN 39713 4936 36 Jupiter Jupiter NNP 39713 4936 37 may may MD 39713 4936 38 have have VB 39713 4936 39 changed change VBN 39713 4936 40 considerably considerably RB 39713 4936 41 in in IN 39713 4936 42 the the DT 39713 4936 43 interval interval NN 39713 4936 44 . . . 39713 4937 1 We -PRON- PRP 39713 4937 2 assume assume VBP 39713 4937 3 , , , 39713 4937 4 for for IN 39713 4937 5 instance instance NN 39713 4937 6 , , , 39713 4937 7 that that IN 39713 4937 8 the the DT 39713 4937 9 state state NN 39713 4937 10 of of IN 39713 4937 11 distant distant JJ 39713 4937 12 bodies body NNS 39713 4937 13 can can MD 39713 4937 14 have have VB 39713 4937 15 no no DT 39713 4937 16 sensible sensible JJ 39713 4937 17 influence influence NN 39713 4937 18 on on IN 39713 4937 19 terrestrial terrestrial JJ 39713 4937 20 phenomena phenomenon NNS 39713 4937 21 , , , 39713 4937 22 and and CC 39713 4937 23 that that DT 39713 4937 24 seems seem VBZ 39713 4937 25 in in IN 39713 4937 26 fact fact NN 39713 4937 27 requisite requisite JJ 39713 4937 28 , , , 39713 4937 29 but but CC 39713 4937 30 there there EX 39713 4937 31 are be VBP 39713 4937 32 cases case NNS 39713 4937 33 where where WRB 39713 4937 34 the the DT 39713 4937 35 choice choice NN 39713 4937 36 of of IN 39713 4937 37 these these DT 39713 4937 38 practically practically RB 39713 4937 39 indifferent indifferent JJ 39713 4937 40 circumstances circumstance NNS 39713 4937 41 admits admit NNS 39713 4937 42 of of IN 39713 4937 43 more more JJR 39713 4937 44 arbitrariness arbitrariness NN 39713 4937 45 or or CC 39713 4937 46 , , , 39713 4937 47 if if IN 39713 4937 48 you -PRON- PRP 39713 4937 49 choose choose VBP 39713 4937 50 , , , 39713 4937 51 requires require VBZ 39713 4937 52 more more JJR 39713 4937 53 tact tact NN 39713 4937 54 . . . 39713 4938 1 One one CD 39713 4938 2 more more JJR 39713 4938 3 remark remark NN 39713 4938 4 : : : 39713 4938 5 The the DT 39713 4938 6 principle principle NN 39713 4938 7 of of IN 39713 4938 8 induction induction NN 39713 4938 9 would would MD 39713 4938 10 be be VB 39713 4938 11 inapplicable inapplicable JJ 39713 4938 12 if if IN 39713 4938 13 there there EX 39713 4938 14 did do VBD 39713 4938 15 not not RB 39713 4938 16 exist exist VB 39713 4938 17 in in IN 39713 4938 18 nature nature NN 39713 4938 19 a a DT 39713 4938 20 great great JJ 39713 4938 21 quantity quantity NN 39713 4938 22 of of IN 39713 4938 23 bodies body NNS 39713 4938 24 like like IN 39713 4938 25 one one CD 39713 4938 26 another another DT 39713 4938 27 , , , 39713 4938 28 or or CC 39713 4938 29 almost almost RB 39713 4938 30 alike alike RB 39713 4938 31 , , , 39713 4938 32 and and CC 39713 4938 33 if if IN 39713 4938 34 we -PRON- PRP 39713 4938 35 could could MD 39713 4938 36 not not RB 39713 4938 37 infer infer VB 39713 4938 38 , , , 39713 4938 39 for for IN 39713 4938 40 instance instance NN 39713 4938 41 , , , 39713 4938 42 from from IN 39713 4938 43 one one CD 39713 4938 44 bit bit NN 39713 4938 45 of of IN 39713 4938 46 phosphorus phosphorus NN 39713 4938 47 to to IN 39713 4938 48 another another DT 39713 4938 49 bit bit NN 39713 4938 50 of of IN 39713 4938 51 phosphorus phosphorus NN 39713 4938 52 . . . 39713 4939 1 If if IN 39713 4939 2 we -PRON- PRP 39713 4939 3 reflect reflect VBP 39713 4939 4 on on IN 39713 4939 5 these these DT 39713 4939 6 considerations consideration NNS 39713 4939 7 , , , 39713 4939 8 the the DT 39713 4939 9 problem problem NN 39713 4939 10 of of IN 39713 4939 11 determinism determinism NN 39713 4939 12 and and CC 39713 4939 13 of of IN 39713 4939 14 contingence contingence NN 39713 4939 15 will will MD 39713 4939 16 appear appear VB 39713 4939 17 to to IN 39713 4939 18 us -PRON- PRP 39713 4939 19 in in IN 39713 4939 20 a a DT 39713 4939 21 new new JJ 39713 4939 22 light light NN 39713 4939 23 . . . 39713 4940 1 Suppose suppose VB 39713 4940 2 we -PRON- PRP 39713 4940 3 were be VBD 39713 4940 4 able able JJ 39713 4940 5 to to TO 39713 4940 6 embrace embrace VB 39713 4940 7 the the DT 39713 4940 8 series series NN 39713 4940 9 of of IN 39713 4940 10 all all DT 39713 4940 11 phenomena phenomenon NNS 39713 4940 12 of of IN 39713 4940 13 the the DT 39713 4940 14 universe universe NN 39713 4940 15 in in IN 39713 4940 16 the the DT 39713 4940 17 whole whole JJ 39713 4940 18 sequence sequence NN 39713 4940 19 of of IN 39713 4940 20 time time NN 39713 4940 21 . . . 39713 4941 1 We -PRON- PRP 39713 4941 2 could could MD 39713 4941 3 envisage envisage VB 39713 4941 4 what what WP 39713 4941 5 might may MD 39713 4941 6 be be VB 39713 4941 7 called call VBN 39713 4941 8 the the DT 39713 4941 9 _ _ NNP 39713 4941 10 sequences sequence NNS 39713 4941 11 _ _ NNP 39713 4941 12 ; ; : 39713 4941 13 I -PRON- PRP 39713 4941 14 mean mean VBP 39713 4941 15 relations relation NNS 39713 4941 16 between between IN 39713 4941 17 antecedent antecedent NN 39713 4941 18 and and CC 39713 4941 19 consequent consequent NN 39713 4941 20 . . . 39713 4942 1 I -PRON- PRP 39713 4942 2 do do VBP 39713 4942 3 not not RB 39713 4942 4 wish wish VB 39713 4942 5 to to TO 39713 4942 6 speak speak VB 39713 4942 7 of of IN 39713 4942 8 constant constant JJ 39713 4942 9 relations relation NNS 39713 4942 10 or or CC 39713 4942 11 laws law NNS 39713 4942 12 , , , 39713 4942 13 I -PRON- PRP 39713 4942 14 envisage envisage VBP 39713 4942 15 separately separately RB 39713 4942 16 ( ( -LRB- 39713 4942 17 individually individually RB 39713 4942 18 , , , 39713 4942 19 so so RB 39713 4942 20 to to TO 39713 4942 21 speak speak VB 39713 4942 22 ) ) -RRB- 39713 4942 23 the the DT 39713 4942 24 different different JJ 39713 4942 25 sequences sequence NNS 39713 4942 26 realized realize VBD 39713 4942 27 . . . 39713 4943 1 We -PRON- PRP 39713 4943 2 should should MD 39713 4943 3 then then RB 39713 4943 4 recognize recognize VB 39713 4943 5 that that IN 39713 4943 6 among among IN 39713 4943 7 these these DT 39713 4943 8 sequences sequence NNS 39713 4943 9 there there EX 39713 4943 10 are be VBP 39713 4943 11 no no DT 39713 4943 12 two two CD 39713 4943 13 altogether altogether RB 39713 4943 14 alike alike RB 39713 4943 15 . . . 39713 4944 1 But but CC 39713 4944 2 , , , 39713 4944 3 if if IN 39713 4944 4 the the DT 39713 4944 5 principle principle NN 39713 4944 6 of of IN 39713 4944 7 induction induction NN 39713 4944 8 , , , 39713 4944 9 as as IN 39713 4944 10 we -PRON- PRP 39713 4944 11 have have VBP 39713 4944 12 just just RB 39713 4944 13 stated state VBN 39713 4944 14 it -PRON- PRP 39713 4944 15 , , , 39713 4944 16 is be VBZ 39713 4944 17 true true JJ 39713 4944 18 , , , 39713 4944 19 there there EX 39713 4944 20 will will MD 39713 4944 21 be be VB 39713 4944 22 those those DT 39713 4944 23 almost almost RB 39713 4944 24 alike alike RB 39713 4944 25 and and CC 39713 4944 26 that that DT 39713 4944 27 can can MD 39713 4944 28 be be VB 39713 4944 29 classed class VBN 39713 4944 30 alongside alongside IN 39713 4944 31 one one CD 39713 4944 32 another another DT 39713 4944 33 . . . 39713 4945 1 In in IN 39713 4945 2 other other JJ 39713 4945 3 words word NNS 39713 4945 4 , , , 39713 4945 5 it -PRON- PRP 39713 4945 6 is be VBZ 39713 4945 7 possible possible JJ 39713 4945 8 to to TO 39713 4945 9 make make VB 39713 4945 10 a a DT 39713 4945 11 classification classification NN 39713 4945 12 of of IN 39713 4945 13 sequences sequence NNS 39713 4945 14 . . . 39713 4946 1 It -PRON- PRP 39713 4946 2 is be VBZ 39713 4946 3 to to IN 39713 4946 4 the the DT 39713 4946 5 possibility possibility NN 39713 4946 6 and and CC 39713 4946 7 the the DT 39713 4946 8 legitimacy legitimacy NN 39713 4946 9 of of IN 39713 4946 10 such such PDT 39713 4946 11 a a DT 39713 4946 12 classification classification NN 39713 4946 13 that that IN 39713 4946 14 determinism determinism NN 39713 4946 15 , , , 39713 4946 16 in in IN 39713 4946 17 the the DT 39713 4946 18 end end NN 39713 4946 19 , , , 39713 4946 20 reduces reduce NNS 39713 4946 21 . . . 39713 4947 1 This this DT 39713 4947 2 is be VBZ 39713 4947 3 all all DT 39713 4947 4 that that WDT 39713 4947 5 the the DT 39713 4947 6 preceding precede VBG 39713 4947 7 analysis analysis NN 39713 4947 8 leaves leave NNS 39713 4947 9 of of IN 39713 4947 10 it -PRON- PRP 39713 4947 11 . . . 39713 4948 1 Perhaps perhaps RB 39713 4948 2 under under IN 39713 4948 3 this this DT 39713 4948 4 modest modest JJ 39713 4948 5 form form NN 39713 4948 6 it -PRON- PRP 39713 4948 7 will will MD 39713 4948 8 seem seem VB 39713 4948 9 less less RBR 39713 4948 10 appalling appalling JJ 39713 4948 11 to to IN 39713 4948 12 the the DT 39713 4948 13 moralist moralist NN 39713 4948 14 . . . 39713 4949 1 It -PRON- PRP 39713 4949 2 will will MD 39713 4949 3 doubtless doubtless RB 39713 4949 4 be be VB 39713 4949 5 said say VBN 39713 4949 6 that that IN 39713 4949 7 this this DT 39713 4949 8 is be VBZ 39713 4949 9 to to TO 39713 4949 10 come come VB 39713 4949 11 back back RB 39713 4949 12 by by IN 39713 4949 13 a a DT 39713 4949 14 detour detour NN 39713 4949 15 to to IN 39713 4949 16 M. M. NNP 39713 4949 17 LeRoy LeRoy NNP 39713 4949 18 's 's POS 39713 4949 19 conclusion conclusion NN 39713 4949 20 which which WDT 39713 4949 21 a a DT 39713 4949 22 moment moment NN 39713 4949 23 ago ago RB 39713 4949 24 we -PRON- PRP 39713 4949 25 seemed seem VBD 39713 4949 26 to to TO 39713 4949 27 reject reject VB 39713 4949 28 : : : 39713 4949 29 we -PRON- PRP 39713 4949 30 are be VBP 39713 4949 31 determinists determinist NNS 39713 4949 32 voluntarily voluntarily RB 39713 4949 33 . . . 39713 4950 1 And and CC 39713 4950 2 in in IN 39713 4950 3 fact fact NN 39713 4950 4 all all DT 39713 4950 5 classification classification NN 39713 4950 6 supposes suppose VBZ 39713 4950 7 the the DT 39713 4950 8 active active JJ 39713 4950 9 intervention intervention NN 39713 4950 10 of of IN 39713 4950 11 the the DT 39713 4950 12 classifier classifier NN 39713 4950 13 . . . 39713 4951 1 I -PRON- PRP 39713 4951 2 agree agree VBP 39713 4951 3 that that IN 39713 4951 4 this this DT 39713 4951 5 may may MD 39713 4951 6 be be VB 39713 4951 7 maintained maintain VBN 39713 4951 8 , , , 39713 4951 9 but but CC 39713 4951 10 it -PRON- PRP 39713 4951 11 seems seem VBZ 39713 4951 12 to to IN 39713 4951 13 me -PRON- PRP 39713 4951 14 that that IN 39713 4951 15 this this DT 39713 4951 16 detour detour NN 39713 4951 17 will will MD 39713 4951 18 not not RB 39713 4951 19 have have VB 39713 4951 20 been be VBN 39713 4951 21 useless useless JJ 39713 4951 22 and and CC 39713 4951 23 will will MD 39713 4951 24 have have VB 39713 4951 25 contributed contribute VBN 39713 4951 26 to to TO 39713 4951 27 enlighten enlighten VB 39713 4951 28 us -PRON- PRP 39713 4951 29 a a DT 39713 4951 30 little little JJ 39713 4951 31 . . . 39713 4952 1 6 6 CD 39713 4952 2 . . . 39713 4953 1 _ _ NNP 39713 4953 2 Objectivity Objectivity NNP 39713 4953 3 of of IN 39713 4953 4 Science Science NNP 39713 4953 5 _ _ NNP 39713 4953 6 I -PRON- PRP 39713 4953 7 arrive arrive VBP 39713 4953 8 at at IN 39713 4953 9 the the DT 39713 4953 10 question question NN 39713 4953 11 set set VBN 39713 4953 12 by by IN 39713 4953 13 the the DT 39713 4953 14 title title NN 39713 4953 15 of of IN 39713 4953 16 this this DT 39713 4953 17 article article NN 39713 4953 18 : : : 39713 4953 19 What what WP 39713 4953 20 is be VBZ 39713 4953 21 the the DT 39713 4953 22 objective objective JJ 39713 4953 23 value value NN 39713 4953 24 of of IN 39713 4953 25 science science NN 39713 4953 26 ? ? . 39713 4954 1 And and CC 39713 4954 2 first first RB 39713 4954 3 what what WP 39713 4954 4 should should MD 39713 4954 5 we -PRON- PRP 39713 4954 6 understand understand VB 39713 4954 7 by by IN 39713 4954 8 objectivity objectivity NN 39713 4954 9 ? ? . 39713 4955 1 What what WP 39713 4955 2 guarantees guarantee VBZ 39713 4955 3 the the DT 39713 4955 4 objectivity objectivity NN 39713 4955 5 of of IN 39713 4955 6 the the DT 39713 4955 7 world world NN 39713 4955 8 in in IN 39713 4955 9 which which WDT 39713 4955 10 we -PRON- PRP 39713 4955 11 live live VBP 39713 4955 12 is be VBZ 39713 4955 13 that that IN 39713 4955 14 this this DT 39713 4955 15 world world NN 39713 4955 16 is be VBZ 39713 4955 17 common common JJ 39713 4955 18 to to IN 39713 4955 19 us -PRON- PRP 39713 4955 20 with with IN 39713 4955 21 other other JJ 39713 4955 22 thinking think VBG 39713 4955 23 beings being NNS 39713 4955 24 . . . 39713 4956 1 Through through IN 39713 4956 2 the the DT 39713 4956 3 communications communication NNS 39713 4956 4 that that WDT 39713 4956 5 we -PRON- PRP 39713 4956 6 have have VBP 39713 4956 7 with with IN 39713 4956 8 other other JJ 39713 4956 9 men man NNS 39713 4956 10 , , , 39713 4956 11 we -PRON- PRP 39713 4956 12 receive receive VBP 39713 4956 13 from from IN 39713 4956 14 them -PRON- PRP 39713 4956 15 ready ready JJ 39713 4956 16 - - HYPH 39713 4956 17 made make VBN 39713 4956 18 reasonings reasoning NNS 39713 4956 19 ; ; : 39713 4956 20 we -PRON- PRP 39713 4956 21 know know VBP 39713 4956 22 that that IN 39713 4956 23 these these DT 39713 4956 24 reasonings reasoning NNS 39713 4956 25 do do VBP 39713 4956 26 not not RB 39713 4956 27 come come VB 39713 4956 28 from from IN 39713 4956 29 us -PRON- PRP 39713 4956 30 and and CC 39713 4956 31 at at IN 39713 4956 32 the the DT 39713 4956 33 same same JJ 39713 4956 34 time time NN 39713 4956 35 we -PRON- PRP 39713 4956 36 recognize recognize VBP 39713 4956 37 in in IN 39713 4956 38 them -PRON- PRP 39713 4956 39 the the DT 39713 4956 40 work work NN 39713 4956 41 of of IN 39713 4956 42 reasonable reasonable JJ 39713 4956 43 beings being NNS 39713 4956 44 like like IN 39713 4956 45 ourselves -PRON- PRP 39713 4956 46 . . . 39713 4957 1 And and CC 39713 4957 2 as as IN 39713 4957 3 these these DT 39713 4957 4 reasonings reasoning NNS 39713 4957 5 appear appear VBP 39713 4957 6 to to TO 39713 4957 7 fit fit VB 39713 4957 8 the the DT 39713 4957 9 world world NN 39713 4957 10 of of IN 39713 4957 11 our -PRON- PRP$ 39713 4957 12 sensations sensation NNS 39713 4957 13 , , , 39713 4957 14 we -PRON- PRP 39713 4957 15 think think VBP 39713 4957 16 we -PRON- PRP 39713 4957 17 may may MD 39713 4957 18 infer infer VB 39713 4957 19 that that IN 39713 4957 20 these these DT 39713 4957 21 reasonable reasonable JJ 39713 4957 22 beings being NNS 39713 4957 23 have have VBP 39713 4957 24 seen see VBN 39713 4957 25 the the DT 39713 4957 26 same same JJ 39713 4957 27 thing thing NN 39713 4957 28 as as IN 39713 4957 29 we -PRON- PRP 39713 4957 30 ; ; : 39713 4957 31 thus thus RB 39713 4957 32 it -PRON- PRP 39713 4957 33 is be VBZ 39713 4957 34 we -PRON- PRP 39713 4957 35 know know VBP 39713 4957 36 we -PRON- PRP 39713 4957 37 have have VBP 39713 4957 38 not not RB 39713 4957 39 been be VBN 39713 4957 40 dreaming dream VBG 39713 4957 41 . . . 39713 4958 1 Such such JJ 39713 4958 2 , , , 39713 4958 3 therefore therefore RB 39713 4958 4 , , , 39713 4958 5 is be VBZ 39713 4958 6 the the DT 39713 4958 7 first first JJ 39713 4958 8 condition condition NN 39713 4958 9 of of IN 39713 4958 10 objectivity objectivity NN 39713 4958 11 ; ; : 39713 4958 12 what what WP 39713 4958 13 is be VBZ 39713 4958 14 objective objective JJ 39713 4958 15 must must MD 39713 4958 16 be be VB 39713 4958 17 common common JJ 39713 4958 18 to to IN 39713 4958 19 many many JJ 39713 4958 20 minds mind NNS 39713 4958 21 and and CC 39713 4958 22 consequently consequently RB 39713 4958 23 transmissible transmissible JJ 39713 4958 24 from from IN 39713 4958 25 one one CD 39713 4958 26 to to IN 39713 4958 27 the the DT 39713 4958 28 other other JJ 39713 4958 29 , , , 39713 4958 30 and and CC 39713 4958 31 as as IN 39713 4958 32 this this DT 39713 4958 33 transmission transmission NN 39713 4958 34 can can MD 39713 4958 35 only only RB 39713 4958 36 come come VB 39713 4958 37 about about RP 39713 4958 38 by by IN 39713 4958 39 that that DT 39713 4958 40 ' ' `` 39713 4958 41 discourse discourse JJ 39713 4958 42 ' ' '' 39713 4958 43 which which WDT 39713 4958 44 inspires inspire VBZ 39713 4958 45 so so RB 39713 4958 46 much much JJ 39713 4958 47 distrust distrust NN 39713 4958 48 in in IN 39713 4958 49 M. M. NNP 39713 4958 50 LeRoy LeRoy NNP 39713 4958 51 , , , 39713 4958 52 we -PRON- PRP 39713 4958 53 are be VBP 39713 4958 54 even even RB 39713 4958 55 forced force VBN 39713 4958 56 to to TO 39713 4958 57 conclude conclude VB 39713 4958 58 : : : 39713 4958 59 no no DT 39713 4958 60 discourse discourse NN 39713 4958 61 , , , 39713 4958 62 no no DT 39713 4958 63 objectivity objectivity NN 39713 4958 64 . . . 39713 4959 1 The the DT 39713 4959 2 sensations sensation NNS 39713 4959 3 of of IN 39713 4959 4 others other NNS 39713 4959 5 will will MD 39713 4959 6 be be VB 39713 4959 7 for for IN 39713 4959 8 us -PRON- PRP 39713 4959 9 a a DT 39713 4959 10 world world NN 39713 4959 11 eternally eternally RB 39713 4959 12 closed close VBN 39713 4959 13 . . . 39713 4960 1 We -PRON- PRP 39713 4960 2 have have VBP 39713 4960 3 no no DT 39713 4960 4 means means NN 39713 4960 5 of of IN 39713 4960 6 verifying verify VBG 39713 4960 7 that that IN 39713 4960 8 the the DT 39713 4960 9 sensation sensation NN 39713 4960 10 I -PRON- PRP 39713 4960 11 call call VBP 39713 4960 12 red red NN 39713 4960 13 is be VBZ 39713 4960 14 the the DT 39713 4960 15 same same JJ 39713 4960 16 as as IN 39713 4960 17 that that DT 39713 4960 18 which which WDT 39713 4960 19 my -PRON- PRP$ 39713 4960 20 neighbor neighbor NN 39713 4960 21 calls call VBZ 39713 4960 22 red red JJ 39713 4960 23 . . . 39713 4961 1 Suppose suppose VB 39713 4961 2 that that IN 39713 4961 3 a a DT 39713 4961 4 cherry cherry NN 39713 4961 5 and and CC 39713 4961 6 a a DT 39713 4961 7 red red JJ 39713 4961 8 poppy poppy JJ 39713 4961 9 produce produce NN 39713 4961 10 on on IN 39713 4961 11 me -PRON- PRP 39713 4961 12 the the DT 39713 4961 13 sensation sensation NN 39713 4961 14 _ _ NNP 39713 4961 15 A A NNP 39713 4961 16 _ _ NNP 39713 4961 17 and and CC 39713 4961 18 on on IN 39713 4961 19 him -PRON- PRP 39713 4961 20 the the DT 39713 4961 21 sensation sensation NN 39713 4961 22 _ _ NNP 39713 4961 23 B B NNP 39713 4961 24 _ _ NNP 39713 4961 25 and and CC 39713 4961 26 that that IN 39713 4961 27 , , , 39713 4961 28 on on IN 39713 4961 29 the the DT 39713 4961 30 contrary contrary NN 39713 4961 31 , , , 39713 4961 32 a a DT 39713 4961 33 leaf leaf NN 39713 4961 34 produces produce VBZ 39713 4961 35 on on IN 39713 4961 36 me -PRON- PRP 39713 4961 37 the the DT 39713 4961 38 sensation sensation NN 39713 4961 39 _ _ NNP 39713 4961 40 B B NNP 39713 4961 41 _ _ NNP 39713 4961 42 and and CC 39713 4961 43 on on IN 39713 4961 44 him -PRON- PRP 39713 4961 45 the the DT 39713 4961 46 sensation sensation NN 39713 4961 47 _ _ NNP 39713 4961 48 A A NNP 39713 4961 49 _ _ NNP 39713 4961 50 . . . 39713 4962 1 It -PRON- PRP 39713 4962 2 is be VBZ 39713 4962 3 clear clear JJ 39713 4962 4 we -PRON- PRP 39713 4962 5 shall shall MD 39713 4962 6 never never RB 39713 4962 7 know know VB 39713 4962 8 anything anything NN 39713 4962 9 about about IN 39713 4962 10 it -PRON- PRP 39713 4962 11 ; ; : 39713 4962 12 since since IN 39713 4962 13 I -PRON- PRP 39713 4962 14 shall shall MD 39713 4962 15 call call VB 39713 4962 16 red red JJ 39713 4962 17 the the DT 39713 4962 18 sensation sensation NN 39713 4962 19 _ _ NNP 39713 4962 20 A A NNP 39713 4962 21 _ _ NNP 39713 4962 22 and and CC 39713 4962 23 green green JJ 39713 4962 24 the the DT 39713 4962 25 sensation sensation NN 39713 4962 26 _ _ NNP 39713 4962 27 B B NNP 39713 4962 28 _ _ NNP 39713 4962 29 , , , 39713 4962 30 while while IN 39713 4962 31 he -PRON- PRP 39713 4962 32 will will MD 39713 4962 33 call call VB 39713 4962 34 the the DT 39713 4962 35 first first JJ 39713 4962 36 green green NN 39713 4962 37 and and CC 39713 4962 38 the the DT 39713 4962 39 second second JJ 39713 4962 40 red red NN 39713 4962 41 . . . 39713 4963 1 In in IN 39713 4963 2 compensation compensation NN 39713 4963 3 , , , 39713 4963 4 what what WP 39713 4963 5 we -PRON- PRP 39713 4963 6 shall shall MD 39713 4963 7 be be VB 39713 4963 8 able able JJ 39713 4963 9 to to TO 39713 4963 10 ascertain ascertain VB 39713 4963 11 is be VBZ 39713 4963 12 that that IN 39713 4963 13 , , , 39713 4963 14 for for IN 39713 4963 15 him -PRON- PRP 39713 4963 16 as as IN 39713 4963 17 for for IN 39713 4963 18 me -PRON- PRP 39713 4963 19 , , , 39713 4963 20 the the DT 39713 4963 21 cherry cherry NN 39713 4963 22 and and CC 39713 4963 23 the the DT 39713 4963 24 red red NNP 39713 4963 25 poppy poppy NNP 39713 4963 26 produce produce VBP 39713 4963 27 the the DT 39713 4963 28 _ _ NNP 39713 4963 29 same same JJ 39713 4963 30 _ _ NNP 39713 4963 31 sensation sensation NN 39713 4963 32 , , , 39713 4963 33 since since IN 39713 4963 34 he -PRON- PRP 39713 4963 35 gives give VBZ 39713 4963 36 the the DT 39713 4963 37 same same JJ 39713 4963 38 name name NN 39713 4963 39 to to IN 39713 4963 40 the the DT 39713 4963 41 sensations sensation NNS 39713 4963 42 he -PRON- PRP 39713 4963 43 feels feel VBZ 39713 4963 44 and and CC 39713 4963 45 I -PRON- PRP 39713 4963 46 do do VBP 39713 4963 47 the the DT 39713 4963 48 same same JJ 39713 4963 49 . . . 39713 4964 1 Sensations sensation NNS 39713 4964 2 are be VBP 39713 4964 3 therefore therefore RB 39713 4964 4 intransmissible intransmissible JJ 39713 4964 5 , , , 39713 4964 6 or or CC 39713 4964 7 rather rather RB 39713 4964 8 all all DT 39713 4964 9 that that WDT 39713 4964 10 is be VBZ 39713 4964 11 pure pure JJ 39713 4964 12 quality quality NN 39713 4964 13 in in IN 39713 4964 14 them -PRON- PRP 39713 4964 15 is be VBZ 39713 4964 16 intransmissible intransmissible JJ 39713 4964 17 and and CC 39713 4964 18 forever forever RB 39713 4964 19 impenetrable impenetrable JJ 39713 4964 20 . . . 39713 4965 1 But but CC 39713 4965 2 it -PRON- PRP 39713 4965 3 is be VBZ 39713 4965 4 not not RB 39713 4965 5 the the DT 39713 4965 6 same same JJ 39713 4965 7 with with IN 39713 4965 8 relations relation NNS 39713 4965 9 between between IN 39713 4965 10 these these DT 39713 4965 11 sensations sensation NNS 39713 4965 12 . . . 39713 4966 1 From from IN 39713 4966 2 this this DT 39713 4966 3 point point NN 39713 4966 4 of of IN 39713 4966 5 view view NN 39713 4966 6 , , , 39713 4966 7 all all PDT 39713 4966 8 that that WDT 39713 4966 9 is be VBZ 39713 4966 10 objective objective JJ 39713 4966 11 is be VBZ 39713 4966 12 devoid devoid JJ 39713 4966 13 of of IN 39713 4966 14 all all DT 39713 4966 15 quality quality NN 39713 4966 16 and and CC 39713 4966 17 is be VBZ 39713 4966 18 only only RB 39713 4966 19 pure pure JJ 39713 4966 20 relation relation NN 39713 4966 21 . . . 39713 4967 1 Certes certe NNS 39713 4967 2 , , , 39713 4967 3 I -PRON- PRP 39713 4967 4 shall shall MD 39713 4967 5 not not RB 39713 4967 6 go go VB 39713 4967 7 so so RB 39713 4967 8 far far RB 39713 4967 9 as as IN 39713 4967 10 to to TO 39713 4967 11 say say VB 39713 4967 12 that that IN 39713 4967 13 objectivity objectivity NN 39713 4967 14 is be VBZ 39713 4967 15 only only RB 39713 4967 16 pure pure JJ 39713 4967 17 quantity quantity NN 39713 4967 18 ( ( -LRB- 39713 4967 19 this this DT 39713 4967 20 would would MD 39713 4967 21 be be VB 39713 4967 22 to to TO 39713 4967 23 particularize particularize VB 39713 4967 24 too too RB 39713 4967 25 far far RB 39713 4967 26 the the DT 39713 4967 27 nature nature NN 39713 4967 28 of of IN 39713 4967 29 the the DT 39713 4967 30 relations relation NNS 39713 4967 31 in in IN 39713 4967 32 question question NN 39713 4967 33 ) ) -RRB- 39713 4967 34 , , , 39713 4967 35 but but CC 39713 4967 36 we -PRON- PRP 39713 4967 37 understand understand VBP 39713 4967 38 how how WRB 39713 4967 39 some some DT 39713 4967 40 one one PRP 39713 4967 41 could could MD 39713 4967 42 have have VB 39713 4967 43 been be VBN 39713 4967 44 carried carry VBN 39713 4967 45 away away RB 39713 4967 46 into into IN 39713 4967 47 saying say VBG 39713 4967 48 that that IN 39713 4967 49 the the DT 39713 4967 50 world world NN 39713 4967 51 is be VBZ 39713 4967 52 only only RB 39713 4967 53 a a DT 39713 4967 54 differential differential NN 39713 4967 55 equation equation NN 39713 4967 56 . . . 39713 4968 1 With with IN 39713 4968 2 due due JJ 39713 4968 3 reserve reserve NN 39713 4968 4 regarding regard VBG 39713 4968 5 this this DT 39713 4968 6 paradoxical paradoxical JJ 39713 4968 7 proposition proposition NN 39713 4968 8 , , , 39713 4968 9 we -PRON- PRP 39713 4968 10 must must MD 39713 4968 11 nevertheless nevertheless RB 39713 4968 12 admit admit VB 39713 4968 13 that that IN 39713 4968 14 nothing nothing NN 39713 4968 15 is be VBZ 39713 4968 16 objective objective JJ 39713 4968 17 which which WDT 39713 4968 18 is be VBZ 39713 4968 19 not not RB 39713 4968 20 transmissible transmissible JJ 39713 4968 21 , , , 39713 4968 22 and and CC 39713 4968 23 consequently consequently RB 39713 4968 24 that that IN 39713 4968 25 the the DT 39713 4968 26 relations relation NNS 39713 4968 27 between between IN 39713 4968 28 the the DT 39713 4968 29 sensations sensation NNS 39713 4968 30 can can MD 39713 4968 31 alone alone RB 39713 4968 32 have have VB 39713 4968 33 an an DT 39713 4968 34 objective objective JJ 39713 4968 35 value value NN 39713 4968 36 . . . 39713 4969 1 Perhaps perhaps RB 39713 4969 2 it -PRON- PRP 39713 4969 3 will will MD 39713 4969 4 be be VB 39713 4969 5 said say VBN 39713 4969 6 that that IN 39713 4969 7 the the DT 39713 4969 8 esthetic esthetic JJ 39713 4969 9 emotion emotion NN 39713 4969 10 , , , 39713 4969 11 which which WDT 39713 4969 12 is be VBZ 39713 4969 13 common common JJ 39713 4969 14 to to IN 39713 4969 15 all all DT 39713 4969 16 mankind mankind NN 39713 4969 17 , , , 39713 4969 18 is be VBZ 39713 4969 19 proof proof NN 39713 4969 20 that that IN 39713 4969 21 the the DT 39713 4969 22 qualities quality NNS 39713 4969 23 of of IN 39713 4969 24 our -PRON- PRP$ 39713 4969 25 sensations sensation NNS 39713 4969 26 are be VBP 39713 4969 27 also also RB 39713 4969 28 the the DT 39713 4969 29 same same JJ 39713 4969 30 for for IN 39713 4969 31 all all DT 39713 4969 32 men man NNS 39713 4969 33 and and CC 39713 4969 34 hence hence RB 39713 4969 35 are be VBP 39713 4969 36 objective objective JJ 39713 4969 37 . . . 39713 4970 1 But but CC 39713 4970 2 if if IN 39713 4970 3 we -PRON- PRP 39713 4970 4 think think VBP 39713 4970 5 about about IN 39713 4970 6 this this DT 39713 4970 7 , , , 39713 4970 8 we -PRON- PRP 39713 4970 9 shall shall MD 39713 4970 10 see see VB 39713 4970 11 that that IN 39713 4970 12 the the DT 39713 4970 13 proof proof NN 39713 4970 14 is be VBZ 39713 4970 15 not not RB 39713 4970 16 complete complete JJ 39713 4970 17 ; ; : 39713 4970 18 what what WP 39713 4970 19 is be VBZ 39713 4970 20 proved prove VBN 39713 4970 21 is be VBZ 39713 4970 22 that that IN 39713 4970 23 this this DT 39713 4970 24 emotion emotion NN 39713 4970 25 is be VBZ 39713 4970 26 aroused arouse VBN 39713 4970 27 in in IN 39713 4970 28 John John NNP 39713 4970 29 as as IN 39713 4970 30 in in IN 39713 4970 31 James James NNP 39713 4970 32 by by IN 39713 4970 33 the the DT 39713 4970 34 sensations sensation NNS 39713 4970 35 to to TO 39713 4970 36 which which WDT 39713 4970 37 James James NNP 39713 4970 38 and and CC 39713 4970 39 John John NNP 39713 4970 40 give give VBP 39713 4970 41 the the DT 39713 4970 42 same same JJ 39713 4970 43 name name NN 39713 4970 44 or or CC 39713 4970 45 by by IN 39713 4970 46 the the DT 39713 4970 47 corresponding correspond VBG 39713 4970 48 combinations combination NNS 39713 4970 49 of of IN 39713 4970 50 these these DT 39713 4970 51 sensations sensation NNS 39713 4970 52 ; ; , 39713 4970 53 either either CC 39713 4970 54 because because IN 39713 4970 55 this this DT 39713 4970 56 emotion emotion NN 39713 4970 57 is be VBZ 39713 4970 58 associated associate VBN 39713 4970 59 in in IN 39713 4970 60 John John NNP 39713 4970 61 with with IN 39713 4970 62 the the DT 39713 4970 63 sensation sensation NN 39713 4970 64 _ _ NNP 39713 4970 65 A A NNP 39713 4970 66 _ _ NNP 39713 4970 67 , , , 39713 4970 68 which which WDT 39713 4970 69 John John NNP 39713 4970 70 calls call VBZ 39713 4970 71 red red NN 39713 4970 72 , , , 39713 4970 73 while while IN 39713 4970 74 parallelly parallelly RB 39713 4970 75 it -PRON- PRP 39713 4970 76 is be VBZ 39713 4970 77 associated associate VBN 39713 4970 78 in in IN 39713 4970 79 James James NNP 39713 4970 80 with with IN 39713 4970 81 the the DT 39713 4970 82 sensation sensation NN 39713 4970 83 _ _ NNP 39713 4970 84 B B NNP 39713 4970 85 _ _ NNP 39713 4970 86 , , , 39713 4970 87 which which WDT 39713 4970 88 James James NNP 39713 4970 89 calls call VBZ 39713 4970 90 red red JJ 39713 4970 91 ; ; : 39713 4970 92 or or CC 39713 4970 93 better well JJR 39713 4970 94 because because IN 39713 4970 95 this this DT 39713 4970 96 emotion emotion NN 39713 4970 97 is be VBZ 39713 4970 98 aroused arouse VBN 39713 4970 99 , , , 39713 4970 100 not not RB 39713 4970 101 by by IN 39713 4970 102 the the DT 39713 4970 103 qualities quality NNS 39713 4970 104 themselves -PRON- PRP 39713 4970 105 of of IN 39713 4970 106 the the DT 39713 4970 107 sensations sensation NNS 39713 4970 108 , , , 39713 4970 109 but but CC 39713 4970 110 by by IN 39713 4970 111 the the DT 39713 4970 112 harmonious harmonious JJ 39713 4970 113 combination combination NN 39713 4970 114 of of IN 39713 4970 115 their -PRON- PRP$ 39713 4970 116 relations relation NNS 39713 4970 117 of of IN 39713 4970 118 which which WDT 39713 4970 119 we -PRON- PRP 39713 4970 120 undergo undergo VBP 39713 4970 121 the the DT 39713 4970 122 unconscious unconscious JJ 39713 4970 123 impression impression NN 39713 4970 124 . . . 39713 4971 1 Such such PDT 39713 4971 2 a a DT 39713 4971 3 sensation sensation NN 39713 4971 4 is be VBZ 39713 4971 5 beautiful beautiful JJ 39713 4971 6 , , , 39713 4971 7 not not RB 39713 4971 8 because because IN 39713 4971 9 it -PRON- PRP 39713 4971 10 possesses possess VBZ 39713 4971 11 such such PDT 39713 4971 12 a a DT 39713 4971 13 quality quality NN 39713 4971 14 , , , 39713 4971 15 but but CC 39713 4971 16 because because IN 39713 4971 17 it -PRON- PRP 39713 4971 18 occupies occupy VBZ 39713 4971 19 such such PDT 39713 4971 20 a a DT 39713 4971 21 place place NN 39713 4971 22 in in IN 39713 4971 23 the the DT 39713 4971 24 woof woof NN 39713 4971 25 of of IN 39713 4971 26 our -PRON- PRP$ 39713 4971 27 associations association NNS 39713 4971 28 of of IN 39713 4971 29 ideas idea NNS 39713 4971 30 , , , 39713 4971 31 so so IN 39713 4971 32 that that IN 39713 4971 33 it -PRON- PRP 39713 4971 34 can can MD 39713 4971 35 not not RB 39713 4971 36 be be VB 39713 4971 37 excited excite VBN 39713 4971 38 without without IN 39713 4971 39 putting put VBG 39713 4971 40 in in RP 39713 4971 41 motion motion NN 39713 4971 42 the the DT 39713 4971 43 ' ' `` 39713 4971 44 receiver receiver NN 39713 4971 45 ' ' '' 39713 4971 46 which which WDT 39713 4971 47 is be VBZ 39713 4971 48 at at IN 39713 4971 49 the the DT 39713 4971 50 other other JJ 39713 4971 51 end end NN 39713 4971 52 of of IN 39713 4971 53 the the DT 39713 4971 54 thread thread NN 39713 4971 55 and and CC 39713 4971 56 which which WDT 39713 4971 57 corresponds correspond VBZ 39713 4971 58 to to IN 39713 4971 59 the the DT 39713 4971 60 artistic artistic JJ 39713 4971 61 emotion emotion NN 39713 4971 62 . . . 39713 4972 1 Whether whether IN 39713 4972 2 we -PRON- PRP 39713 4972 3 take take VBP 39713 4972 4 the the DT 39713 4972 5 moral moral NN 39713 4972 6 , , , 39713 4972 7 the the DT 39713 4972 8 esthetic esthetic JJ 39713 4972 9 or or CC 39713 4972 10 the the DT 39713 4972 11 scientific scientific JJ 39713 4972 12 point point NN 39713 4972 13 of of IN 39713 4972 14 view view NN 39713 4972 15 , , , 39713 4972 16 it -PRON- PRP 39713 4972 17 is be VBZ 39713 4972 18 always always RB 39713 4972 19 the the DT 39713 4972 20 same same JJ 39713 4972 21 thing thing NN 39713 4972 22 . . . 39713 4973 1 Nothing nothing NN 39713 4973 2 is be VBZ 39713 4973 3 objective objective JJ 39713 4973 4 except except IN 39713 4973 5 what what WP 39713 4973 6 is be VBZ 39713 4973 7 identical identical JJ 39713 4973 8 for for IN 39713 4973 9 all all DT 39713 4973 10 ; ; : 39713 4973 11 now now RB 39713 4973 12 we -PRON- PRP 39713 4973 13 can can MD 39713 4973 14 only only RB 39713 4973 15 speak speak VB 39713 4973 16 of of IN 39713 4973 17 such such PDT 39713 4973 18 an an DT 39713 4973 19 identity identity NN 39713 4973 20 if if IN 39713 4973 21 a a DT 39713 4973 22 comparison comparison NN 39713 4973 23 is be VBZ 39713 4973 24 possible possible JJ 39713 4973 25 , , , 39713 4973 26 and and CC 39713 4973 27 can can MD 39713 4973 28 be be VB 39713 4973 29 translated translate VBN 39713 4973 30 into into IN 39713 4973 31 a a DT 39713 4973 32 ' ' `` 39713 4973 33 money money NN 39713 4973 34 of of IN 39713 4973 35 exchange exchange NN 39713 4973 36 ' ' '' 39713 4973 37 capable capable JJ 39713 4973 38 of of IN 39713 4973 39 transmission transmission NN 39713 4973 40 from from IN 39713 4973 41 one one CD 39713 4973 42 mind mind NN 39713 4973 43 to to IN 39713 4973 44 another another DT 39713 4973 45 . . . 39713 4974 1 Nothing nothing NN 39713 4974 2 , , , 39713 4974 3 therefore therefore RB 39713 4974 4 , , , 39713 4974 5 will will MD 39713 4974 6 have have VB 39713 4974 7 objective objective JJ 39713 4974 8 value value NN 39713 4974 9 except except IN 39713 4974 10 what what WP 39713 4974 11 is be VBZ 39713 4974 12 transmissible transmissible JJ 39713 4974 13 by by IN 39713 4974 14 ' ' '' 39713 4974 15 discourse discourse NN 39713 4974 16 , , , 39713 4974 17 ' ' '' 39713 4974 18 that that RB 39713 4974 19 is be VBZ 39713 4974 20 , , , 39713 4974 21 intelligible intelligible JJ 39713 4974 22 . . . 39713 4975 1 But but CC 39713 4975 2 this this DT 39713 4975 3 is be VBZ 39713 4975 4 only only RB 39713 4975 5 one one CD 39713 4975 6 side side NN 39713 4975 7 of of IN 39713 4975 8 the the DT 39713 4975 9 question question NN 39713 4975 10 . . . 39713 4976 1 An an DT 39713 4976 2 absolutely absolutely RB 39713 4976 3 disordered disorder VBN 39713 4976 4 aggregate aggregate NN 39713 4976 5 could could MD 39713 4976 6 not not RB 39713 4976 7 have have VB 39713 4976 8 objective objective JJ 39713 4976 9 value value NN 39713 4976 10 since since IN 39713 4976 11 it -PRON- PRP 39713 4976 12 would would MD 39713 4976 13 be be VB 39713 4976 14 unintelligible unintelligible JJ 39713 4976 15 , , , 39713 4976 16 but but CC 39713 4976 17 no no DT 39713 4976 18 more more JJR 39713 4976 19 can can MD 39713 4976 20 a a DT 39713 4976 21 well well RB 39713 4976 22 - - HYPH 39713 4976 23 ordered order VBN 39713 4976 24 assemblage assemblage NN 39713 4976 25 have have VBP 39713 4976 26 it -PRON- PRP 39713 4976 27 , , , 39713 4976 28 if if IN 39713 4976 29 it -PRON- PRP 39713 4976 30 does do VBZ 39713 4976 31 not not RB 39713 4976 32 correspond correspond VB 39713 4976 33 to to IN 39713 4976 34 sensations sensation NNS 39713 4976 35 really really RB 39713 4976 36 experienced experience VBD 39713 4976 37 . . . 39713 4977 1 It -PRON- PRP 39713 4977 2 seems seem VBZ 39713 4977 3 to to IN 39713 4977 4 me -PRON- PRP 39713 4977 5 superfluous superfluous JJ 39713 4977 6 to to TO 39713 4977 7 recall recall VB 39713 4977 8 this this DT 39713 4977 9 condition condition NN 39713 4977 10 , , , 39713 4977 11 and and CC 39713 4977 12 I -PRON- PRP 39713 4977 13 should should MD 39713 4977 14 not not RB 39713 4977 15 have have VB 39713 4977 16 dreamed dream VBN 39713 4977 17 of of IN 39713 4977 18 it -PRON- PRP 39713 4977 19 , , , 39713 4977 20 if if IN 39713 4977 21 it -PRON- PRP 39713 4977 22 had have VBD 39713 4977 23 not not RB 39713 4977 24 lately lately RB 39713 4977 25 been be VBN 39713 4977 26 maintained maintain VBN 39713 4977 27 that that IN 39713 4977 28 physics physics NN 39713 4977 29 is be VBZ 39713 4977 30 not not RB 39713 4977 31 an an DT 39713 4977 32 experimental experimental JJ 39713 4977 33 science science NN 39713 4977 34 . . . 39713 4978 1 Although although IN 39713 4978 2 this this DT 39713 4978 3 opinion opinion NN 39713 4978 4 has have VBZ 39713 4978 5 no no DT 39713 4978 6 chance chance NN 39713 4978 7 of of IN 39713 4978 8 being be VBG 39713 4978 9 adopted adopt VBN 39713 4978 10 either either CC 39713 4978 11 by by IN 39713 4978 12 physicists physicist NNS 39713 4978 13 or or CC 39713 4978 14 by by IN 39713 4978 15 philosophers philosopher NNS 39713 4978 16 , , , 39713 4978 17 it -PRON- PRP 39713 4978 18 is be VBZ 39713 4978 19 well well JJ 39713 4978 20 to to TO 39713 4978 21 be be VB 39713 4978 22 warned warn VBN 39713 4978 23 so so RB 39713 4978 24 as as IN 39713 4978 25 not not RB 39713 4978 26 to to TO 39713 4978 27 let let VB 39713 4978 28 oneself oneself PRP 39713 4978 29 slip slip VB 39713 4978 30 over over IN 39713 4978 31 the the DT 39713 4978 32 declivity declivity NN 39713 4978 33 which which WDT 39713 4978 34 would would MD 39713 4978 35 lead lead VB 39713 4978 36 thither thither NN 39713 4978 37 . . . 39713 4979 1 Two two CD 39713 4979 2 conditions condition NNS 39713 4979 3 are be VBP 39713 4979 4 therefore therefore RB 39713 4979 5 to to TO 39713 4979 6 be be VB 39713 4979 7 fulfilled fulfil VBN 39713 4979 8 , , , 39713 4979 9 and and CC 39713 4979 10 if if IN 39713 4979 11 the the DT 39713 4979 12 first first JJ 39713 4979 13 separates separates NNPS 39713 4979 14 reality[11 reality[11 NN 39713 4979 15 ] ] -RRB- 39713 4979 16 from from IN 39713 4979 17 the the DT 39713 4979 18 dream dream NN 39713 4979 19 , , , 39713 4979 20 the the DT 39713 4979 21 second second JJ 39713 4979 22 distinguishes distinguish VBZ 39713 4979 23 it -PRON- PRP 39713 4979 24 from from IN 39713 4979 25 the the DT 39713 4979 26 romance romance NN 39713 4979 27 . . . 39713 4980 1 [ [ -LRB- 39713 4980 2 11 11 CD 39713 4980 3 ] ] -RRB- 39713 4980 4 I -PRON- PRP 39713 4980 5 here here RB 39713 4980 6 use use VBP 39713 4980 7 the the DT 39713 4980 8 word word NN 39713 4980 9 real real JJ 39713 4980 10 as as IN 39713 4980 11 a a DT 39713 4980 12 synonym synonym NN 39713 4980 13 of of IN 39713 4980 14 objective objective NN 39713 4980 15 ; ; : 39713 4980 16 I -PRON- PRP 39713 4980 17 thus thus RB 39713 4980 18 conform conform VBP 39713 4980 19 to to IN 39713 4980 20 common common JJ 39713 4980 21 usage usage NN 39713 4980 22 ; ; : 39713 4980 23 perhaps perhaps RB 39713 4980 24 I -PRON- PRP 39713 4980 25 am be VBP 39713 4980 26 wrong wrong JJ 39713 4980 27 , , , 39713 4980 28 our -PRON- PRP$ 39713 4980 29 dreams dream NNS 39713 4980 30 are be VBP 39713 4980 31 real real JJ 39713 4980 32 , , , 39713 4980 33 but but CC 39713 4980 34 they -PRON- PRP 39713 4980 35 are be VBP 39713 4980 36 not not RB 39713 4980 37 objective objective JJ 39713 4980 38 . . . 39713 4981 1 Now now RB 39713 4981 2 what what WP 39713 4981 3 is be VBZ 39713 4981 4 science science NN 39713 4981 5 ? ? . 39713 4982 1 I -PRON- PRP 39713 4982 2 have have VBP 39713 4982 3 explained explain VBN 39713 4982 4 in in IN 39713 4982 5 the the DT 39713 4982 6 preceding precede VBG 39713 4982 7 article article NN 39713 4982 8 , , , 39713 4982 9 it -PRON- PRP 39713 4982 10 is be VBZ 39713 4982 11 before before IN 39713 4982 12 all all PDT 39713 4982 13 a a DT 39713 4982 14 classification classification NN 39713 4982 15 , , , 39713 4982 16 a a DT 39713 4982 17 manner manner NN 39713 4982 18 of of IN 39713 4982 19 bringing bring VBG 39713 4982 20 together together RB 39713 4982 21 facts fact NNS 39713 4982 22 which which WDT 39713 4982 23 appearances appearance NNS 39713 4982 24 separate separate VBP 39713 4982 25 , , , 39713 4982 26 though though IN 39713 4982 27 they -PRON- PRP 39713 4982 28 were be VBD 39713 4982 29 bound bind VBN 39713 4982 30 together together RB 39713 4982 31 by by IN 39713 4982 32 some some DT 39713 4982 33 natural natural JJ 39713 4982 34 and and CC 39713 4982 35 hidden hidden JJ 39713 4982 36 kinship kinship NN 39713 4982 37 . . . 39713 4983 1 Science science NN 39713 4983 2 , , , 39713 4983 3 in in IN 39713 4983 4 other other JJ 39713 4983 5 words word NNS 39713 4983 6 , , , 39713 4983 7 is be VBZ 39713 4983 8 a a DT 39713 4983 9 system system NN 39713 4983 10 of of IN 39713 4983 11 relations relation NNS 39713 4983 12 . . . 39713 4984 1 Now now RB 39713 4984 2 we -PRON- PRP 39713 4984 3 have have VBP 39713 4984 4 just just RB 39713 4984 5 said say VBN 39713 4984 6 , , , 39713 4984 7 it -PRON- PRP 39713 4984 8 is be VBZ 39713 4984 9 in in IN 39713 4984 10 the the DT 39713 4984 11 relations relation NNS 39713 4984 12 alone alone RB 39713 4984 13 that that IN 39713 4984 14 objectivity objectivity NN 39713 4984 15 must must MD 39713 4984 16 be be VB 39713 4984 17 sought seek VBN 39713 4984 18 ; ; : 39713 4984 19 it -PRON- PRP 39713 4984 20 would would MD 39713 4984 21 be be VB 39713 4984 22 vain vain JJ 39713 4984 23 to to TO 39713 4984 24 seek seek VB 39713 4984 25 it -PRON- PRP 39713 4984 26 in in IN 39713 4984 27 beings being NNS 39713 4984 28 considered consider VBN 39713 4984 29 as as IN 39713 4984 30 isolated isolate VBN 39713 4984 31 from from IN 39713 4984 32 one one CD 39713 4984 33 another another DT 39713 4984 34 . . . 39713 4985 1 To to TO 39713 4985 2 say say VB 39713 4985 3 that that IN 39713 4985 4 science science NN 39713 4985 5 can can MD 39713 4985 6 not not RB 39713 4985 7 have have VB 39713 4985 8 objective objective JJ 39713 4985 9 value value NN 39713 4985 10 since since IN 39713 4985 11 it -PRON- PRP 39713 4985 12 teaches teach VBZ 39713 4985 13 us -PRON- PRP 39713 4985 14 only only JJ 39713 4985 15 relations relation NNS 39713 4985 16 , , , 39713 4985 17 this this DT 39713 4985 18 is be VBZ 39713 4985 19 to to TO 39713 4985 20 reason reason VB 39713 4985 21 backward backward RB 39713 4985 22 , , , 39713 4985 23 since since RB 39713 4985 24 , , , 39713 4985 25 precisely precisely RB 39713 4985 26 , , , 39713 4985 27 it -PRON- PRP 39713 4985 28 is be VBZ 39713 4985 29 relations relation NNS 39713 4985 30 alone alone RB 39713 4985 31 which which WDT 39713 4985 32 can can MD 39713 4985 33 be be VB 39713 4985 34 regarded regard VBN 39713 4985 35 as as IN 39713 4985 36 objective objective JJ 39713 4985 37 . . . 39713 4986 1 External external JJ 39713 4986 2 objects object NNS 39713 4986 3 , , , 39713 4986 4 for for IN 39713 4986 5 instance instance NN 39713 4986 6 , , , 39713 4986 7 for for IN 39713 4986 8 which which WDT 39713 4986 9 the the DT 39713 4986 10 word word NN 39713 4986 11 _ _ NNP 39713 4986 12 object object NN 39713 4986 13 _ _ NNP 39713 4986 14 was be VBD 39713 4986 15 invented invent VBN 39713 4986 16 , , , 39713 4986 17 are be VBP 39713 4986 18 really really RB 39713 4986 19 _ _ NNP 39713 4986 20 objects object NNS 39713 4986 21 _ _ NNP 39713 4986 22 and and CC 39713 4986 23 not not RB 39713 4986 24 fleeting fleeting JJ 39713 4986 25 and and CC 39713 4986 26 fugitive fugitive JJ 39713 4986 27 appearances appearance NNS 39713 4986 28 , , , 39713 4986 29 because because IN 39713 4986 30 they -PRON- PRP 39713 4986 31 are be VBP 39713 4986 32 not not RB 39713 4986 33 only only RB 39713 4986 34 groups group NNS 39713 4986 35 of of IN 39713 4986 36 sensations sensation NNS 39713 4986 37 , , , 39713 4986 38 but but CC 39713 4986 39 groups group NNS 39713 4986 40 cemented cement VBN 39713 4986 41 by by IN 39713 4986 42 a a DT 39713 4986 43 constant constant JJ 39713 4986 44 bond bond NN 39713 4986 45 . . . 39713 4987 1 It -PRON- PRP 39713 4987 2 is be VBZ 39713 4987 3 this this DT 39713 4987 4 bond bond NN 39713 4987 5 , , , 39713 4987 6 and and CC 39713 4987 7 this this DT 39713 4987 8 bond bond NN 39713 4987 9 alone alone RB 39713 4987 10 , , , 39713 4987 11 which which WDT 39713 4987 12 is be VBZ 39713 4987 13 the the DT 39713 4987 14 object object NN 39713 4987 15 in in IN 39713 4987 16 itself -PRON- PRP 39713 4987 17 , , , 39713 4987 18 and and CC 39713 4987 19 this this DT 39713 4987 20 bond bond NN 39713 4987 21 is be VBZ 39713 4987 22 a a DT 39713 4987 23 relation relation NN 39713 4987 24 . . . 39713 4988 1 Therefore therefore RB 39713 4988 2 , , , 39713 4988 3 when when WRB 39713 4988 4 we -PRON- PRP 39713 4988 5 ask ask VBP 39713 4988 6 what what WP 39713 4988 7 is be VBZ 39713 4988 8 the the DT 39713 4988 9 objective objective JJ 39713 4988 10 value value NN 39713 4988 11 of of IN 39713 4988 12 science science NN 39713 4988 13 , , , 39713 4988 14 that that WDT 39713 4988 15 does do VBZ 39713 4988 16 not not RB 39713 4988 17 mean mean VB 39713 4988 18 : : : 39713 4988 19 Does do VBZ 39713 4988 20 science science NN 39713 4988 21 teach teach VB 39713 4988 22 us -PRON- PRP 39713 4988 23 the the DT 39713 4988 24 true true JJ 39713 4988 25 nature nature NN 39713 4988 26 of of IN 39713 4988 27 things thing NNS 39713 4988 28 ? ? . 39713 4989 1 but but CC 39713 4989 2 it -PRON- PRP 39713 4989 3 means mean VBZ 39713 4989 4 : : : 39713 4989 5 Does do VBZ 39713 4989 6 it -PRON- PRP 39713 4989 7 teach teach VB 39713 4989 8 us -PRON- PRP 39713 4989 9 the the DT 39713 4989 10 true true JJ 39713 4989 11 relations relation NNS 39713 4989 12 of of IN 39713 4989 13 things thing NNS 39713 4989 14 ? ? . 39713 4990 1 To to IN 39713 4990 2 the the DT 39713 4990 3 first first JJ 39713 4990 4 question question NN 39713 4990 5 , , , 39713 4990 6 no no DT 39713 4990 7 one one PRP 39713 4990 8 would would MD 39713 4990 9 hesitate hesitate VB 39713 4990 10 to to TO 39713 4990 11 reply reply VB 39713 4990 12 , , , 39713 4990 13 no no UH 39713 4990 14 ; ; : 39713 4990 15 but but CC 39713 4990 16 I -PRON- PRP 39713 4990 17 think think VBP 39713 4990 18 we -PRON- PRP 39713 4990 19 may may MD 39713 4990 20 go go VB 39713 4990 21 farther farther RB 39713 4990 22 ; ; : 39713 4990 23 not not RB 39713 4990 24 only only RB 39713 4990 25 science science NN 39713 4990 26 can can MD 39713 4990 27 not not RB 39713 4990 28 teach teach VB 39713 4990 29 us -PRON- PRP 39713 4990 30 the the DT 39713 4990 31 nature nature NN 39713 4990 32 of of IN 39713 4990 33 things thing NNS 39713 4990 34 ; ; : 39713 4990 35 but but CC 39713 4990 36 nothing nothing NN 39713 4990 37 is be VBZ 39713 4990 38 capable capable JJ 39713 4990 39 of of IN 39713 4990 40 teaching teach VBG 39713 4990 41 it -PRON- PRP 39713 4990 42 to to IN 39713 4990 43 us -PRON- PRP 39713 4990 44 , , , 39713 4990 45 and and CC 39713 4990 46 if if IN 39713 4990 47 any any DT 39713 4990 48 god god NNP 39713 4990 49 knew know VBD 39713 4990 50 it -PRON- PRP 39713 4990 51 , , , 39713 4990 52 he -PRON- PRP 39713 4990 53 could could MD 39713 4990 54 not not RB 39713 4990 55 find find VB 39713 4990 56 words word NNS 39713 4990 57 to to TO 39713 4990 58 express express VB 39713 4990 59 it -PRON- PRP 39713 4990 60 . . . 39713 4991 1 Not not RB 39713 4991 2 only only RB 39713 4991 3 can can MD 39713 4991 4 we -PRON- PRP 39713 4991 5 not not RB 39713 4991 6 divine divine VB 39713 4991 7 the the DT 39713 4991 8 response response NN 39713 4991 9 , , , 39713 4991 10 but but CC 39713 4991 11 if if IN 39713 4991 12 it -PRON- PRP 39713 4991 13 were be VBD 39713 4991 14 given give VBN 39713 4991 15 to to IN 39713 4991 16 us -PRON- PRP 39713 4991 17 we -PRON- PRP 39713 4991 18 could could MD 39713 4991 19 understand understand VB 39713 4991 20 nothing nothing NN 39713 4991 21 of of IN 39713 4991 22 it -PRON- PRP 39713 4991 23 ; ; : 39713 4991 24 I -PRON- PRP 39713 4991 25 ask ask VBP 39713 4991 26 myself -PRON- PRP 39713 4991 27 even even RB 39713 4991 28 whether whether IN 39713 4991 29 we -PRON- PRP 39713 4991 30 really really RB 39713 4991 31 understand understand VBP 39713 4991 32 the the DT 39713 4991 33 question question NN 39713 4991 34 . . . 39713 4992 1 When when WRB 39713 4992 2 , , , 39713 4992 3 therefore therefore RB 39713 4992 4 , , , 39713 4992 5 a a DT 39713 4992 6 scientific scientific JJ 39713 4992 7 theory theory NN 39713 4992 8 pretends pretend NNS 39713 4992 9 to to TO 39713 4992 10 teach teach VB 39713 4992 11 us -PRON- PRP 39713 4992 12 what what WP 39713 4992 13 heat heat NN 39713 4992 14 is be VBZ 39713 4992 15 , , , 39713 4992 16 or or CC 39713 4992 17 what what WP 39713 4992 18 is be VBZ 39713 4992 19 electricity electricity NN 39713 4992 20 , , , 39713 4992 21 or or CC 39713 4992 22 life life NN 39713 4992 23 , , , 39713 4992 24 it -PRON- PRP 39713 4992 25 is be VBZ 39713 4992 26 condemned condemn VBN 39713 4992 27 beforehand beforehand RB 39713 4992 28 ; ; : 39713 4992 29 all all DT 39713 4992 30 it -PRON- PRP 39713 4992 31 can can MD 39713 4992 32 give give VB 39713 4992 33 us -PRON- PRP 39713 4992 34 is be VBZ 39713 4992 35 only only RB 39713 4992 36 a a DT 39713 4992 37 crude crude JJ 39713 4992 38 image image NN 39713 4992 39 . . . 39713 4993 1 It -PRON- PRP 39713 4993 2 is be VBZ 39713 4993 3 , , , 39713 4993 4 therefore therefore RB 39713 4993 5 , , , 39713 4993 6 provisional provisional JJ 39713 4993 7 and and CC 39713 4993 8 crumbling crumble VBG 39713 4993 9 . . . 39713 4994 1 The the DT 39713 4994 2 first first JJ 39713 4994 3 question question NN 39713 4994 4 being be VBG 39713 4994 5 out out IN 39713 4994 6 of of IN 39713 4994 7 reason reason NN 39713 4994 8 , , , 39713 4994 9 the the DT 39713 4994 10 second second JJ 39713 4994 11 remains remain NNS 39713 4994 12 . . . 39713 4995 1 Can Can MD 39713 4995 2 science science NN 39713 4995 3 teach teach VB 39713 4995 4 us -PRON- PRP 39713 4995 5 the the DT 39713 4995 6 true true JJ 39713 4995 7 relations relation NNS 39713 4995 8 of of IN 39713 4995 9 things thing NNS 39713 4995 10 ? ? . 39713 4996 1 What what WP 39713 4996 2 it -PRON- PRP 39713 4996 3 joins join VBZ 39713 4996 4 together together RB 39713 4996 5 should should MD 39713 4996 6 that that DT 39713 4996 7 be be VB 39713 4996 8 put put VBN 39713 4996 9 asunder asunder RB 39713 4996 10 , , , 39713 4996 11 what what WP 39713 4996 12 it -PRON- PRP 39713 4996 13 puts put VBZ 39713 4996 14 asunder asunder RB 39713 4996 15 should should MD 39713 4996 16 that that WDT 39713 4996 17 be be VB 39713 4996 18 joined join VBN 39713 4996 19 together together RB 39713 4996 20 ? ? . 39713 4997 1 To to TO 39713 4997 2 understand understand VB 39713 4997 3 the the DT 39713 4997 4 meaning meaning NN 39713 4997 5 of of IN 39713 4997 6 this this DT 39713 4997 7 new new JJ 39713 4997 8 question question NN 39713 4997 9 , , , 39713 4997 10 it -PRON- PRP 39713 4997 11 is be VBZ 39713 4997 12 needful needful JJ 39713 4997 13 to to TO 39713 4997 14 refer refer VB 39713 4997 15 to to IN 39713 4997 16 what what WP 39713 4997 17 was be VBD 39713 4997 18 said say VBN 39713 4997 19 above above IN 39713 4997 20 on on IN 39713 4997 21 the the DT 39713 4997 22 conditions condition NNS 39713 4997 23 of of IN 39713 4997 24 objectivity objectivity NN 39713 4997 25 . . . 39713 4998 1 Have have VBP 39713 4998 2 these these DT 39713 4998 3 relations relation NNS 39713 4998 4 an an DT 39713 4998 5 objective objective JJ 39713 4998 6 value value NN 39713 4998 7 ? ? . 39713 4999 1 That that DT 39713 4999 2 means mean VBZ 39713 4999 3 : : : 39713 4999 4 Are be VBP 39713 4999 5 these these DT 39713 4999 6 relations relation NNS 39713 4999 7 the the DT 39713 4999 8 same same JJ 39713 4999 9 for for IN 39713 4999 10 all all DT 39713 4999 11 ? ? . 39713 5000 1 Will Will MD 39713 5000 2 they -PRON- PRP 39713 5000 3 still still RB 39713 5000 4 be be VB 39713 5000 5 the the DT 39713 5000 6 same same JJ 39713 5000 7 for for IN 39713 5000 8 those those DT 39713 5000 9 who who WP 39713 5000 10 shall shall MD 39713 5000 11 come come VB 39713 5000 12 after after IN 39713 5000 13 us -PRON- PRP 39713 5000 14 ? ? . 39713 5001 1 It -PRON- PRP 39713 5001 2 is be VBZ 39713 5001 3 clear clear JJ 39713 5001 4 that that IN 39713 5001 5 they -PRON- PRP 39713 5001 6 are be VBP 39713 5001 7 not not RB 39713 5001 8 the the DT 39713 5001 9 same same JJ 39713 5001 10 for for IN 39713 5001 11 the the DT 39713 5001 12 scientist scientist NN 39713 5001 13 and and CC 39713 5001 14 the the DT 39713 5001 15 ignorant ignorant JJ 39713 5001 16 person person NN 39713 5001 17 . . . 39713 5002 1 But but CC 39713 5002 2 that that DT 39713 5002 3 is be VBZ 39713 5002 4 unimportant unimportant JJ 39713 5002 5 , , , 39713 5002 6 because because IN 39713 5002 7 if if IN 39713 5002 8 the the DT 39713 5002 9 ignorant ignorant JJ 39713 5002 10 person person NN 39713 5002 11 does do VBZ 39713 5002 12 not not RB 39713 5002 13 see see VB 39713 5002 14 them -PRON- PRP 39713 5002 15 all all DT 39713 5002 16 at at IN 39713 5002 17 once once RB 39713 5002 18 , , , 39713 5002 19 the the DT 39713 5002 20 scientist scientist NN 39713 5002 21 may may MD 39713 5002 22 succeed succeed VB 39713 5002 23 in in IN 39713 5002 24 making make VBG 39713 5002 25 him -PRON- PRP 39713 5002 26 see see VB 39713 5002 27 them -PRON- PRP 39713 5002 28 by by IN 39713 5002 29 a a DT 39713 5002 30 series series NN 39713 5002 31 of of IN 39713 5002 32 experiments experiment NNS 39713 5002 33 and and CC 39713 5002 34 reasonings reasoning NNS 39713 5002 35 . . . 39713 5003 1 The the DT 39713 5003 2 thing thing NN 39713 5003 3 essential essential JJ 39713 5003 4 is be VBZ 39713 5003 5 that that IN 39713 5003 6 there there EX 39713 5003 7 are be VBP 39713 5003 8 points point NNS 39713 5003 9 on on IN 39713 5003 10 which which WDT 39713 5003 11 all all PDT 39713 5003 12 those those DT 39713 5003 13 acquainted acquaint VBN 39713 5003 14 with with IN 39713 5003 15 the the DT 39713 5003 16 experiments experiment NNS 39713 5003 17 made make VBN 39713 5003 18 can can MD 39713 5003 19 reach reach VB 39713 5003 20 accord accord NN 39713 5003 21 . . . 39713 5004 1 The the DT 39713 5004 2 question question NN 39713 5004 3 is be VBZ 39713 5004 4 to to TO 39713 5004 5 know know VB 39713 5004 6 whether whether IN 39713 5004 7 this this DT 39713 5004 8 accord accord NN 39713 5004 9 will will MD 39713 5004 10 be be VB 39713 5004 11 durable durable JJ 39713 5004 12 and and CC 39713 5004 13 whether whether IN 39713 5004 14 it -PRON- PRP 39713 5004 15 will will MD 39713 5004 16 persist persist VB 39713 5004 17 for for IN 39713 5004 18 our -PRON- PRP$ 39713 5004 19 successors successor NNS 39713 5004 20 . . . 39713 5005 1 It -PRON- PRP 39713 5005 2 may may MD 39713 5005 3 be be VB 39713 5005 4 asked ask VBN 39713 5005 5 whether whether IN 39713 5005 6 the the DT 39713 5005 7 unions union NNS 39713 5005 8 that that WDT 39713 5005 9 the the DT 39713 5005 10 science science NN 39713 5005 11 of of IN 39713 5005 12 to to IN 39713 5005 13 - - HYPH 39713 5005 14 day day NN 39713 5005 15 makes make NNS 39713 5005 16 will will MD 39713 5005 17 be be VB 39713 5005 18 confirmed confirm VBN 39713 5005 19 by by IN 39713 5005 20 the the DT 39713 5005 21 science science NN 39713 5005 22 of of IN 39713 5005 23 to to IN 39713 5005 24 - - HYPH 39713 5005 25 morrow morrow NNP 39713 5005 26 . . . 39713 5006 1 To to TO 39713 5006 2 affirm affirm VB 39713 5006 3 that that IN 39713 5006 4 it -PRON- PRP 39713 5006 5 will will MD 39713 5006 6 be be VB 39713 5006 7 so so RB 39713 5006 8 we -PRON- PRP 39713 5006 9 can can MD 39713 5006 10 not not RB 39713 5006 11 invoke invoke VB 39713 5006 12 any any DT 39713 5006 13 _ _ NNP 39713 5006 14 a a DT 39713 5006 15 priori priori FW 39713 5006 16 _ _ NNP 39713 5006 17 reason reason NN 39713 5006 18 ; ; : 39713 5006 19 but but CC 39713 5006 20 this this DT 39713 5006 21 is be VBZ 39713 5006 22 a a DT 39713 5006 23 question question NN 39713 5006 24 of of IN 39713 5006 25 fact fact NN 39713 5006 26 , , , 39713 5006 27 and and CC 39713 5006 28 science science NN 39713 5006 29 has have VBZ 39713 5006 30 already already RB 39713 5006 31 lived live VBN 39713 5006 32 long long RB 39713 5006 33 enough enough RB 39713 5006 34 for for IN 39713 5006 35 us -PRON- PRP 39713 5006 36 to to TO 39713 5006 37 be be VB 39713 5006 38 able able JJ 39713 5006 39 to to TO 39713 5006 40 find find VB 39713 5006 41 out out RP 39713 5006 42 by by IN 39713 5006 43 asking ask VBG 39713 5006 44 its -PRON- PRP$ 39713 5006 45 history history NN 39713 5006 46 whether whether IN 39713 5006 47 the the DT 39713 5006 48 edifices edifice NNS 39713 5006 49 it -PRON- PRP 39713 5006 50 builds build VBZ 39713 5006 51 stand stand VB 39713 5006 52 the the DT 39713 5006 53 test test NN 39713 5006 54 of of IN 39713 5006 55 time time NN 39713 5006 56 , , , 39713 5006 57 or or CC 39713 5006 58 whether whether IN 39713 5006 59 they -PRON- PRP 39713 5006 60 are be VBP 39713 5006 61 only only RB 39713 5006 62 ephemeral ephemeral JJ 39713 5006 63 constructions construction NNS 39713 5006 64 . . . 39713 5007 1 Now now RB 39713 5007 2 what what WP 39713 5007 3 do do VBP 39713 5007 4 we -PRON- PRP 39713 5007 5 see see VB 39713 5007 6 ? ? . 39713 5008 1 At at IN 39713 5008 2 the the DT 39713 5008 3 first first JJ 39713 5008 4 blush blush NN 39713 5008 5 , , , 39713 5008 6 it -PRON- PRP 39713 5008 7 seems seem VBZ 39713 5008 8 to to IN 39713 5008 9 us -PRON- PRP 39713 5008 10 that that IN 39713 5008 11 the the DT 39713 5008 12 theories theory NNS 39713 5008 13 last last VBP 39713 5008 14 only only RB 39713 5008 15 a a DT 39713 5008 16 day day NN 39713 5008 17 and and CC 39713 5008 18 that that WDT 39713 5008 19 ruins ruin VBZ 39713 5008 20 upon upon IN 39713 5008 21 ruins ruin NNS 39713 5008 22 accumulate accumulate NN 39713 5008 23 . . . 39713 5009 1 To to IN 39713 5009 2 - - HYPH 39713 5009 3 day day NN 39713 5009 4 the the DT 39713 5009 5 theories theory NNS 39713 5009 6 are be VBP 39713 5009 7 born bear VBN 39713 5009 8 , , , 39713 5009 9 to to IN 39713 5009 10 - - HYPH 39713 5009 11 morrow morrow NN 39713 5009 12 they -PRON- PRP 39713 5009 13 are be VBP 39713 5009 14 the the DT 39713 5009 15 fashion fashion NN 39713 5009 16 , , , 39713 5009 17 the the DT 39713 5009 18 day day NN 39713 5009 19 after after IN 39713 5009 20 to to IN 39713 5009 21 - - HYPH 39713 5009 22 morrow morrow NN 39713 5009 23 they -PRON- PRP 39713 5009 24 are be VBP 39713 5009 25 classic classic JJ 39713 5009 26 , , , 39713 5009 27 the the DT 39713 5009 28 fourth fourth JJ 39713 5009 29 day day NN 39713 5009 30 they -PRON- PRP 39713 5009 31 are be VBP 39713 5009 32 superannuated superannuate VBN 39713 5009 33 , , , 39713 5009 34 and and CC 39713 5009 35 the the DT 39713 5009 36 fifth fifth JJ 39713 5009 37 they -PRON- PRP 39713 5009 38 are be VBP 39713 5009 39 forgotten forget VBN 39713 5009 40 . . . 39713 5010 1 But but CC 39713 5010 2 if if IN 39713 5010 3 we -PRON- PRP 39713 5010 4 look look VBP 39713 5010 5 more more RBR 39713 5010 6 closely closely RB 39713 5010 7 , , , 39713 5010 8 we -PRON- PRP 39713 5010 9 see see VBP 39713 5010 10 that that IN 39713 5010 11 what what WP 39713 5010 12 thus thus RB 39713 5010 13 succumb succumb VBD 39713 5010 14 are be VBP 39713 5010 15 the the DT 39713 5010 16 theories theory NNS 39713 5010 17 properly properly RB 39713 5010 18 so so RB 39713 5010 19 called call VBN 39713 5010 20 , , , 39713 5010 21 those those DT 39713 5010 22 which which WDT 39713 5010 23 pretend pretend VBP 39713 5010 24 to to TO 39713 5010 25 teach teach VB 39713 5010 26 us -PRON- PRP 39713 5010 27 what what WP 39713 5010 28 things thing NNS 39713 5010 29 are be VBP 39713 5010 30 . . . 39713 5011 1 But but CC 39713 5011 2 there there EX 39713 5011 3 is be VBZ 39713 5011 4 in in IN 39713 5011 5 them -PRON- PRP 39713 5011 6 something something NN 39713 5011 7 which which WDT 39713 5011 8 usually usually RB 39713 5011 9 survives survive VBZ 39713 5011 10 . . . 39713 5012 1 If if IN 39713 5012 2 one one CD 39713 5012 3 of of IN 39713 5012 4 them -PRON- PRP 39713 5012 5 taught teach VBD 39713 5012 6 us -PRON- PRP 39713 5012 7 a a DT 39713 5012 8 true true JJ 39713 5012 9 relation relation NN 39713 5012 10 , , , 39713 5012 11 this this DT 39713 5012 12 relation relation NN 39713 5012 13 is be VBZ 39713 5012 14 definitively definitively RB 39713 5012 15 acquired acquire VBN 39713 5012 16 , , , 39713 5012 17 and and CC 39713 5012 18 it -PRON- PRP 39713 5012 19 will will MD 39713 5012 20 be be VB 39713 5012 21 found find VBN 39713 5012 22 again again RB 39713 5012 23 under under IN 39713 5012 24 a a DT 39713 5012 25 new new JJ 39713 5012 26 disguise disguise NN 39713 5012 27 in in IN 39713 5012 28 the the DT 39713 5012 29 other other JJ 39713 5012 30 theories theory NNS 39713 5012 31 which which WDT 39713 5012 32 will will MD 39713 5012 33 successively successively RB 39713 5012 34 come come VB 39713 5012 35 to to TO 39713 5012 36 reign reign VB 39713 5012 37 in in IN 39713 5012 38 place place NN 39713 5012 39 of of IN 39713 5012 40 the the DT 39713 5012 41 old old JJ 39713 5012 42 . . . 39713 5013 1 Take take VB 39713 5013 2 only only RB 39713 5013 3 a a DT 39713 5013 4 single single JJ 39713 5013 5 example example NN 39713 5013 6 : : : 39713 5013 7 The the DT 39713 5013 8 theory theory NN 39713 5013 9 of of IN 39713 5013 10 the the DT 39713 5013 11 undulations undulation NNS 39713 5013 12 of of IN 39713 5013 13 the the DT 39713 5013 14 ether ether NN 39713 5013 15 taught teach VBD 39713 5013 16 us -PRON- PRP 39713 5013 17 that that DT 39713 5013 18 light light NN 39713 5013 19 is be VBZ 39713 5013 20 a a DT 39713 5013 21 motion motion NN 39713 5013 22 ; ; : 39713 5013 23 to to IN 39713 5013 24 - - HYPH 39713 5013 25 day day NN 39713 5013 26 fashion fashion NN 39713 5013 27 favors favor VBZ 39713 5013 28 the the DT 39713 5013 29 electromagnetic electromagnetic JJ 39713 5013 30 theory theory NN 39713 5013 31 which which WDT 39713 5013 32 teaches teach VBZ 39713 5013 33 us -PRON- PRP 39713 5013 34 that that DT 39713 5013 35 light light NN 39713 5013 36 is be VBZ 39713 5013 37 a a DT 39713 5013 38 current current NN 39713 5013 39 . . . 39713 5014 1 We -PRON- PRP 39713 5014 2 do do VBP 39713 5014 3 not not RB 39713 5014 4 consider consider VB 39713 5014 5 whether whether IN 39713 5014 6 we -PRON- PRP 39713 5014 7 could could MD 39713 5014 8 reconcile reconcile VB 39713 5014 9 them -PRON- PRP 39713 5014 10 and and CC 39713 5014 11 say say VB 39713 5014 12 that that IN 39713 5014 13 light light NN 39713 5014 14 is be VBZ 39713 5014 15 a a DT 39713 5014 16 current current NN 39713 5014 17 , , , 39713 5014 18 and and CC 39713 5014 19 that that IN 39713 5014 20 this this DT 39713 5014 21 current current NN 39713 5014 22 is be VBZ 39713 5014 23 a a DT 39713 5014 24 motion motion NN 39713 5014 25 . . . 39713 5015 1 As as IN 39713 5015 2 it -PRON- PRP 39713 5015 3 is be VBZ 39713 5015 4 probable probable JJ 39713 5015 5 in in IN 39713 5015 6 any any DT 39713 5015 7 case case NN 39713 5015 8 that that IN 39713 5015 9 this this DT 39713 5015 10 motion motion NN 39713 5015 11 would would MD 39713 5015 12 not not RB 39713 5015 13 be be VB 39713 5015 14 identical identical JJ 39713 5015 15 with with IN 39713 5015 16 that that DT 39713 5015 17 which which WDT 39713 5015 18 the the DT 39713 5015 19 partisans partisan NNS 39713 5015 20 of of IN 39713 5015 21 the the DT 39713 5015 22 old old JJ 39713 5015 23 theory theory NN 39713 5015 24 presume presume VBP 39713 5015 25 , , , 39713 5015 26 we -PRON- PRP 39713 5015 27 might may MD 39713 5015 28 think think VB 39713 5015 29 ourselves -PRON- PRP 39713 5015 30 justified justify VBN 39713 5015 31 in in IN 39713 5015 32 saying say VBG 39713 5015 33 that that IN 39713 5015 34 this this DT 39713 5015 35 old old JJ 39713 5015 36 theory theory NN 39713 5015 37 is be VBZ 39713 5015 38 dethroned dethrone VBN 39713 5015 39 . . . 39713 5016 1 And and CC 39713 5016 2 yet yet RB 39713 5016 3 something something NN 39713 5016 4 of of IN 39713 5016 5 it -PRON- PRP 39713 5016 6 remains remain VBZ 39713 5016 7 , , , 39713 5016 8 since since IN 39713 5016 9 between between IN 39713 5016 10 the the DT 39713 5016 11 hypothetical hypothetical JJ 39713 5016 12 currents current NNS 39713 5016 13 which which WDT 39713 5016 14 Maxwell Maxwell NNP 39713 5016 15 supposes suppose VBZ 39713 5016 16 there there EX 39713 5016 17 are be VBP 39713 5016 18 the the DT 39713 5016 19 same same JJ 39713 5016 20 relations relation NNS 39713 5016 21 as as IN 39713 5016 22 between between IN 39713 5016 23 the the DT 39713 5016 24 hypothetical hypothetical JJ 39713 5016 25 motions motion NNS 39713 5016 26 that that IN 39713 5016 27 Fresnel Fresnel NNP 39713 5016 28 supposed suppose VBD 39713 5016 29 . . . 39713 5017 1 There there EX 39713 5017 2 is be VBZ 39713 5017 3 , , , 39713 5017 4 therefore therefore RB 39713 5017 5 , , , 39713 5017 6 something something NN 39713 5017 7 which which WDT 39713 5017 8 remains remain VBZ 39713 5017 9 over over RB 39713 5017 10 and and CC 39713 5017 11 this this DT 39713 5017 12 something something NN 39713 5017 13 is be VBZ 39713 5017 14 the the DT 39713 5017 15 essential essential JJ 39713 5017 16 . . . 39713 5018 1 This this DT 39713 5018 2 it -PRON- PRP 39713 5018 3 is be VBZ 39713 5018 4 which which WDT 39713 5018 5 explains explain VBZ 39713 5018 6 how how WRB 39713 5018 7 we -PRON- PRP 39713 5018 8 see see VBP 39713 5018 9 the the DT 39713 5018 10 present present JJ 39713 5018 11 physicists physicist NNS 39713 5018 12 pass pass VB 39713 5018 13 without without IN 39713 5018 14 any any DT 39713 5018 15 embarrassment embarrassment NN 39713 5018 16 from from IN 39713 5018 17 the the DT 39713 5018 18 language language NN 39713 5018 19 of of IN 39713 5018 20 Fresnel Fresnel NNP 39713 5018 21 to to IN 39713 5018 22 that that DT 39713 5018 23 of of IN 39713 5018 24 Maxwell Maxwell NNP 39713 5018 25 . . . 39713 5019 1 Doubtless doubtless RB 39713 5019 2 many many JJ 39713 5019 3 connections connection NNS 39713 5019 4 that that WDT 39713 5019 5 were be VBD 39713 5019 6 believed believe VBN 39713 5019 7 well well RB 39713 5019 8 established establish VBN 39713 5019 9 have have VBP 39713 5019 10 been be VBN 39713 5019 11 abandoned abandon VBN 39713 5019 12 , , , 39713 5019 13 but but CC 39713 5019 14 the the DT 39713 5019 15 greatest great JJS 39713 5019 16 number number NN 39713 5019 17 remain remain VBP 39713 5019 18 and and CC 39713 5019 19 it -PRON- PRP 39713 5019 20 would would MD 39713 5019 21 seem seem VB 39713 5019 22 must must MD 39713 5019 23 remain remain VB 39713 5019 24 . . . 39713 5020 1 And and CC 39713 5020 2 for for IN 39713 5020 3 these these DT 39713 5020 4 , , , 39713 5020 5 then then RB 39713 5020 6 , , , 39713 5020 7 what what WP 39713 5020 8 is be VBZ 39713 5020 9 the the DT 39713 5020 10 measure measure NN 39713 5020 11 of of IN 39713 5020 12 their -PRON- PRP$ 39713 5020 13 objectivity objectivity NN 39713 5020 14 ? ? . 39713 5021 1 Well well UH 39713 5021 2 , , , 39713 5021 3 it -PRON- PRP 39713 5021 4 is be VBZ 39713 5021 5 precisely precisely RB 39713 5021 6 the the DT 39713 5021 7 same same JJ 39713 5021 8 as as IN 39713 5021 9 for for IN 39713 5021 10 our -PRON- PRP$ 39713 5021 11 belief belief NN 39713 5021 12 in in IN 39713 5021 13 external external JJ 39713 5021 14 objects object NNS 39713 5021 15 . . . 39713 5022 1 These these DT 39713 5022 2 latter latter JJ 39713 5022 3 are be VBP 39713 5022 4 real real JJ 39713 5022 5 in in IN 39713 5022 6 this this DT 39713 5022 7 , , , 39713 5022 8 that that IN 39713 5022 9 the the DT 39713 5022 10 sensations sensation NNS 39713 5022 11 they -PRON- PRP 39713 5022 12 make make VBP 39713 5022 13 us -PRON- PRP 39713 5022 14 feel feel VB 39713 5022 15 appear appear VB 39713 5022 16 to to IN 39713 5022 17 us -PRON- PRP 39713 5022 18 as as IN 39713 5022 19 united united JJ 39713 5022 20 to to IN 39713 5022 21 each each DT 39713 5022 22 other other JJ 39713 5022 23 by by IN 39713 5022 24 I -PRON- PRP 39713 5022 25 know know VBP 39713 5022 26 not not RB 39713 5022 27 what what WP 39713 5022 28 indestructible indestructible JJ 39713 5022 29 cement cement NN 39713 5022 30 and and CC 39713 5022 31 not not RB 39713 5022 32 by by IN 39713 5022 33 the the DT 39713 5022 34 hazard hazard NN 39713 5022 35 of of IN 39713 5022 36 a a DT 39713 5022 37 day day NN 39713 5022 38 . . . 39713 5023 1 In in IN 39713 5023 2 the the DT 39713 5023 3 same same JJ 39713 5023 4 way way NN 39713 5023 5 science science NN 39713 5023 6 reveals reveal VBZ 39713 5023 7 to to IN 39713 5023 8 us -PRON- PRP 39713 5023 9 between between IN 39713 5023 10 phenomena phenomena NNP 39713 5023 11 other other JJ 39713 5023 12 bonds bond NNS 39713 5023 13 finer fine JJR 39713 5023 14 but but CC 39713 5023 15 not not RB 39713 5023 16 less less RBR 39713 5023 17 solid solid JJ 39713 5023 18 ; ; : 39713 5023 19 these these DT 39713 5023 20 are be VBP 39713 5023 21 threads thread NNS 39713 5023 22 so so RB 39713 5023 23 slender slend JJR 39713 5023 24 that that IN 39713 5023 25 they -PRON- PRP 39713 5023 26 long long RB 39713 5023 27 remained remain VBD 39713 5023 28 unperceived unperceived JJ 39713 5023 29 , , , 39713 5023 30 but but CC 39713 5023 31 once once RB 39713 5023 32 noticed notice VBD 39713 5023 33 there there EX 39713 5023 34 remains remain VBZ 39713 5023 35 no no DT 39713 5023 36 way way NN 39713 5023 37 of of IN 39713 5023 38 not not RB 39713 5023 39 seeing see VBG 39713 5023 40 them -PRON- PRP 39713 5023 41 ; ; : 39713 5023 42 they -PRON- PRP 39713 5023 43 are be VBP 39713 5023 44 therefore therefore RB 39713 5023 45 not not RB 39713 5023 46 less less RBR 39713 5023 47 real real JJ 39713 5023 48 than than IN 39713 5023 49 those those DT 39713 5023 50 which which WDT 39713 5023 51 give give VBP 39713 5023 52 their -PRON- PRP$ 39713 5023 53 reality reality NN 39713 5023 54 to to IN 39713 5023 55 external external JJ 39713 5023 56 objects object NNS 39713 5023 57 ; ; , 39713 5023 58 small small JJ 39713 5023 59 matter matter NN 39713 5023 60 that that IN 39713 5023 61 they -PRON- PRP 39713 5023 62 are be VBP 39713 5023 63 more more RBR 39713 5023 64 recently recently RB 39713 5023 65 known know VBN 39713 5023 66 , , , 39713 5023 67 since since IN 39713 5023 68 neither neither DT 39713 5023 69 can can MD 39713 5023 70 perish perish VB 39713 5023 71 before before IN 39713 5023 72 the the DT 39713 5023 73 other other JJ 39713 5023 74 . . . 39713 5024 1 It -PRON- PRP 39713 5024 2 may may MD 39713 5024 3 be be VB 39713 5024 4 said say VBN 39713 5024 5 , , , 39713 5024 6 for for IN 39713 5024 7 instance instance NN 39713 5024 8 , , , 39713 5024 9 that that IN 39713 5024 10 the the DT 39713 5024 11 ether ether NN 39713 5024 12 is be VBZ 39713 5024 13 no no DT 39713 5024 14 less less RBR 39713 5024 15 real real JJ 39713 5024 16 than than IN 39713 5024 17 any any DT 39713 5024 18 external external JJ 39713 5024 19 body body NN 39713 5024 20 ; ; : 39713 5024 21 to to TO 39713 5024 22 say say VB 39713 5024 23 this this DT 39713 5024 24 body body NN 39713 5024 25 exists exist VBZ 39713 5024 26 is be VBZ 39713 5024 27 to to TO 39713 5024 28 say say VB 39713 5024 29 there there EX 39713 5024 30 is be VBZ 39713 5024 31 between between IN 39713 5024 32 the the DT 39713 5024 33 color color NN 39713 5024 34 of of IN 39713 5024 35 this this DT 39713 5024 36 body body NN 39713 5024 37 , , , 39713 5024 38 its -PRON- PRP$ 39713 5024 39 taste taste NN 39713 5024 40 , , , 39713 5024 41 its -PRON- PRP$ 39713 5024 42 smell smell NN 39713 5024 43 , , , 39713 5024 44 an an DT 39713 5024 45 intimate intimate JJ 39713 5024 46 bond bond NN 39713 5024 47 , , , 39713 5024 48 solid solid JJ 39713 5024 49 and and CC 39713 5024 50 persistent persistent JJ 39713 5024 51 ; ; : 39713 5024 52 to to TO 39713 5024 53 say say VB 39713 5024 54 the the DT 39713 5024 55 ether ether NN 39713 5024 56 exists exist VBZ 39713 5024 57 is be VBZ 39713 5024 58 to to TO 39713 5024 59 say say VB 39713 5024 60 there there EX 39713 5024 61 is be VBZ 39713 5024 62 a a DT 39713 5024 63 natural natural JJ 39713 5024 64 kinship kinship NN 39713 5024 65 between between IN 39713 5024 66 all all PDT 39713 5024 67 the the DT 39713 5024 68 optical optical JJ 39713 5024 69 phenomena phenomenon NNS 39713 5024 70 , , , 39713 5024 71 and and CC 39713 5024 72 neither neither DT 39713 5024 73 of of IN 39713 5024 74 the the DT 39713 5024 75 two two CD 39713 5024 76 propositions proposition NNS 39713 5024 77 has have VBZ 39713 5024 78 less less JJR 39713 5024 79 value value NN 39713 5024 80 than than IN 39713 5024 81 the the DT 39713 5024 82 other other JJ 39713 5024 83 . . . 39713 5025 1 And and CC 39713 5025 2 the the DT 39713 5025 3 scientific scientific JJ 39713 5025 4 syntheses synthesis NNS 39713 5025 5 have have VBP 39713 5025 6 in in IN 39713 5025 7 a a DT 39713 5025 8 sense sense NN 39713 5025 9 even even RB 39713 5025 10 more more JJR 39713 5025 11 reality reality NN 39713 5025 12 than than IN 39713 5025 13 those those DT 39713 5025 14 of of IN 39713 5025 15 the the DT 39713 5025 16 ordinary ordinary JJ 39713 5025 17 senses sense NNS 39713 5025 18 , , , 39713 5025 19 since since IN 39713 5025 20 they -PRON- PRP 39713 5025 21 embrace embrace VBP 39713 5025 22 more more JJR 39713 5025 23 terms term NNS 39713 5025 24 and and CC 39713 5025 25 tend tend VBP 39713 5025 26 to to TO 39713 5025 27 absorb absorb VB 39713 5025 28 in in IN 39713 5025 29 them -PRON- PRP 39713 5025 30 the the DT 39713 5025 31 partial partial JJ 39713 5025 32 syntheses synthesis NNS 39713 5025 33 . . . 39713 5026 1 It -PRON- PRP 39713 5026 2 will will MD 39713 5026 3 be be VB 39713 5026 4 said say VBN 39713 5026 5 that that IN 39713 5026 6 science science NN 39713 5026 7 is be VBZ 39713 5026 8 only only RB 39713 5026 9 a a DT 39713 5026 10 classification classification NN 39713 5026 11 and and CC 39713 5026 12 that that IN 39713 5026 13 a a DT 39713 5026 14 classification classification NN 39713 5026 15 can can MD 39713 5026 16 not not RB 39713 5026 17 be be VB 39713 5026 18 true true JJ 39713 5026 19 , , , 39713 5026 20 but but CC 39713 5026 21 convenient convenient JJ 39713 5026 22 . . . 39713 5027 1 But but CC 39713 5027 2 it -PRON- PRP 39713 5027 3 is be VBZ 39713 5027 4 true true JJ 39713 5027 5 that that IN 39713 5027 6 it -PRON- PRP 39713 5027 7 is be VBZ 39713 5027 8 convenient convenient JJ 39713 5027 9 , , , 39713 5027 10 it -PRON- PRP 39713 5027 11 is be VBZ 39713 5027 12 true true JJ 39713 5027 13 that that IN 39713 5027 14 it -PRON- PRP 39713 5027 15 is be VBZ 39713 5027 16 so so RB 39713 5027 17 not not RB 39713 5027 18 only only RB 39713 5027 19 for for IN 39713 5027 20 me -PRON- PRP 39713 5027 21 , , , 39713 5027 22 but but CC 39713 5027 23 for for IN 39713 5027 24 all all DT 39713 5027 25 men man NNS 39713 5027 26 ; ; : 39713 5027 27 it -PRON- PRP 39713 5027 28 is be VBZ 39713 5027 29 true true JJ 39713 5027 30 that that IN 39713 5027 31 it -PRON- PRP 39713 5027 32 will will MD 39713 5027 33 remain remain VB 39713 5027 34 convenient convenient JJ 39713 5027 35 for for IN 39713 5027 36 our -PRON- PRP$ 39713 5027 37 descendants descendant NNS 39713 5027 38 ; ; : 39713 5027 39 it -PRON- PRP 39713 5027 40 is be VBZ 39713 5027 41 true true JJ 39713 5027 42 finally finally RB 39713 5027 43 that that IN 39713 5027 44 this this DT 39713 5027 45 can can MD 39713 5027 46 not not RB 39713 5027 47 be be VB 39713 5027 48 by by IN 39713 5027 49 chance chance NN 39713 5027 50 . . . 39713 5028 1 In in IN 39713 5028 2 sum sum NN 39713 5028 3 , , , 39713 5028 4 the the DT 39713 5028 5 sole sole JJ 39713 5028 6 objective objective JJ 39713 5028 7 reality reality NN 39713 5028 8 consists consist VBZ 39713 5028 9 in in IN 39713 5028 10 the the DT 39713 5028 11 relations relation NNS 39713 5028 12 of of IN 39713 5028 13 things thing NNS 39713 5028 14 whence whence WDT 39713 5028 15 results result VBZ 39713 5028 16 the the DT 39713 5028 17 universal universal JJ 39713 5028 18 harmony harmony NN 39713 5028 19 . . . 39713 5029 1 Doubtless doubtless RB 39713 5029 2 these these DT 39713 5029 3 relations relation NNS 39713 5029 4 , , , 39713 5029 5 this this DT 39713 5029 6 harmony harmony NN 39713 5029 7 , , , 39713 5029 8 could could MD 39713 5029 9 not not RB 39713 5029 10 be be VB 39713 5029 11 conceived conceive VBN 39713 5029 12 outside outside RB 39713 5029 13 of of IN 39713 5029 14 a a DT 39713 5029 15 mind mind NN 39713 5029 16 which which WDT 39713 5029 17 conceives conceive VBZ 39713 5029 18 them -PRON- PRP 39713 5029 19 . . . 39713 5030 1 But but CC 39713 5030 2 they -PRON- PRP 39713 5030 3 are be VBP 39713 5030 4 nevertheless nevertheless RB 39713 5030 5 objective objective JJ 39713 5030 6 because because IN 39713 5030 7 they -PRON- PRP 39713 5030 8 are be VBP 39713 5030 9 , , , 39713 5030 10 will will MD 39713 5030 11 become become VB 39713 5030 12 , , , 39713 5030 13 or or CC 39713 5030 14 will will MD 39713 5030 15 remain remain VB 39713 5030 16 , , , 39713 5030 17 common common JJ 39713 5030 18 to to IN 39713 5030 19 all all DT 39713 5030 20 thinking think VBG 39713 5030 21 beings being NNS 39713 5030 22 . . . 39713 5031 1 This this DT 39713 5031 2 will will MD 39713 5031 3 permit permit VB 39713 5031 4 us -PRON- PRP 39713 5031 5 to to TO 39713 5031 6 revert revert VB 39713 5031 7 to to IN 39713 5031 8 the the DT 39713 5031 9 question question NN 39713 5031 10 of of IN 39713 5031 11 the the DT 39713 5031 12 rotation rotation NN 39713 5031 13 of of IN 39713 5031 14 the the DT 39713 5031 15 earth earth NN 39713 5031 16 which which WDT 39713 5031 17 will will MD 39713 5031 18 give give VB 39713 5031 19 us -PRON- PRP 39713 5031 20 at at IN 39713 5031 21 the the DT 39713 5031 22 same same JJ 39713 5031 23 time time NN 39713 5031 24 a a DT 39713 5031 25 chance chance NN 39713 5031 26 to to TO 39713 5031 27 make make VB 39713 5031 28 clear clear JJ 39713 5031 29 what what WP 39713 5031 30 precedes precede NNS 39713 5031 31 by by IN 39713 5031 32 an an DT 39713 5031 33 example example NN 39713 5031 34 . . . 39713 5032 1 7 7 LS 39713 5032 2 . . . 39713 5033 1 _ _ NNP 39713 5033 2 The the DT 39713 5033 3 Rotation Rotation NNP 39713 5033 4 of of IN 39713 5033 5 the the DT 39713 5033 6 Earth Earth NNP 39713 5033 7 _ _ NNP 39713 5033 8 " " '' 39713 5033 9 ... ... . 39713 5034 1 Therefore therefore RB 39713 5034 2 , , , 39713 5034 3 " " `` 39713 5034 4 have have VBP 39713 5034 5 I -PRON- PRP 39713 5034 6 said say VBN 39713 5034 7 in in IN 39713 5034 8 _ _ NNP 39713 5034 9 Science Science NNP 39713 5034 10 and and CC 39713 5034 11 Hypothesis Hypothesis NNP 39713 5034 12 _ _ NNP 39713 5034 13 , , , 39713 5034 14 " " '' 39713 5034 15 this this DT 39713 5034 16 affirmation affirmation NN 39713 5034 17 , , , 39713 5034 18 the the DT 39713 5034 19 earth earth NN 39713 5034 20 turns turn VBZ 39713 5034 21 round round JJ 39713 5034 22 , , , 39713 5034 23 has have VBZ 39713 5034 24 no no DT 39713 5034 25 meaning meaning NN 39713 5034 26 ... ... : 39713 5034 27 or or CC 39713 5034 28 rather rather RB 39713 5034 29 these these DT 39713 5034 30 two two CD 39713 5034 31 propositions proposition NNS 39713 5034 32 , , , 39713 5034 33 the the DT 39713 5034 34 earth earth NN 39713 5034 35 turns turn VBZ 39713 5034 36 round round JJ 39713 5034 37 , , , 39713 5034 38 and and CC 39713 5034 39 , , , 39713 5034 40 it -PRON- PRP 39713 5034 41 is be VBZ 39713 5034 42 more more RBR 39713 5034 43 convenient convenient JJ 39713 5034 44 to to TO 39713 5034 45 suppose suppose VB 39713 5034 46 that that IN 39713 5034 47 the the DT 39713 5034 48 earth earth NN 39713 5034 49 turns turn VBZ 39713 5034 50 round round NN 39713 5034 51 , , , 39713 5034 52 have have VBP 39713 5034 53 one one CD 39713 5034 54 and and CC 39713 5034 55 the the DT 39713 5034 56 same same JJ 39713 5034 57 meaning meaning NN 39713 5034 58 . . . 39713 5034 59 " " '' 39713 5035 1 These these DT 39713 5035 2 words word NNS 39713 5035 3 have have VBP 39713 5035 4 given give VBN 39713 5035 5 rise rise NN 39713 5035 6 to to IN 39713 5035 7 the the DT 39713 5035 8 strangest strange JJS 39713 5035 9 interpretations interpretation NNS 39713 5035 10 . . . 39713 5036 1 Some some DT 39713 5036 2 have have VBP 39713 5036 3 thought think VBN 39713 5036 4 they -PRON- PRP 39713 5036 5 saw see VBD 39713 5036 6 in in IN 39713 5036 7 them -PRON- PRP 39713 5036 8 the the DT 39713 5036 9 rehabilitation rehabilitation NN 39713 5036 10 of of IN 39713 5036 11 Ptolemy Ptolemy NNP 39713 5036 12 's 's POS 39713 5036 13 system system NN 39713 5036 14 , , , 39713 5036 15 and and CC 39713 5036 16 perhaps perhaps RB 39713 5036 17 the the DT 39713 5036 18 justification justification NN 39713 5036 19 of of IN 39713 5036 20 Galileo Galileo NNP 39713 5036 21 's 's POS 39713 5036 22 condemnation condemnation NN 39713 5036 23 . . . 39713 5037 1 Those those DT 39713 5037 2 who who WP 39713 5037 3 had have VBD 39713 5037 4 read read VBN 39713 5037 5 attentively attentively RB 39713 5037 6 the the DT 39713 5037 7 whole whole JJ 39713 5037 8 volume volume NN 39713 5037 9 could could MD 39713 5037 10 not not RB 39713 5037 11 , , , 39713 5037 12 however however RB 39713 5037 13 , , , 39713 5037 14 delude delude VB 39713 5037 15 themselves -PRON- PRP 39713 5037 16 . . . 39713 5038 1 This this DT 39713 5038 2 truth truth NN 39713 5038 3 , , , 39713 5038 4 the the DT 39713 5038 5 earth earth NN 39713 5038 6 turns turn VBZ 39713 5038 7 round round NN 39713 5038 8 , , , 39713 5038 9 was be VBD 39713 5038 10 put put VBN 39713 5038 11 on on IN 39713 5038 12 the the DT 39713 5038 13 same same JJ 39713 5038 14 footing footing NN 39713 5038 15 as as IN 39713 5038 16 Euclid Euclid NNP 39713 5038 17 's 's POS 39713 5038 18 postulate postulate NN 39713 5038 19 , , , 39713 5038 20 for for IN 39713 5038 21 example example NN 39713 5038 22 . . . 39713 5039 1 Was be VBD 39713 5039 2 that that DT 39713 5039 3 to to TO 39713 5039 4 reject reject VB 39713 5039 5 it -PRON- PRP 39713 5039 6 ? ? . 39713 5040 1 But but CC 39713 5040 2 better well RBR 39713 5040 3 ; ; , 39713 5040 4 in in IN 39713 5040 5 the the DT 39713 5040 6 same same JJ 39713 5040 7 language language NN 39713 5040 8 it -PRON- PRP 39713 5040 9 may may MD 39713 5040 10 very very RB 39713 5040 11 well well RB 39713 5040 12 be be VB 39713 5040 13 said say VBN 39713 5040 14 : : : 39713 5040 15 These these DT 39713 5040 16 two two CD 39713 5040 17 propositions proposition NNS 39713 5040 18 , , , 39713 5040 19 the the DT 39713 5040 20 external external JJ 39713 5040 21 world world NN 39713 5040 22 exists exist VBZ 39713 5040 23 , , , 39713 5040 24 or or CC 39713 5040 25 , , , 39713 5040 26 it -PRON- PRP 39713 5040 27 is be VBZ 39713 5040 28 more more RBR 39713 5040 29 convenient convenient JJ 39713 5040 30 to to TO 39713 5040 31 suppose suppose VB 39713 5040 32 that that IN 39713 5040 33 it -PRON- PRP 39713 5040 34 exists exist VBZ 39713 5040 35 , , , 39713 5040 36 have have VB 39713 5040 37 one one CD 39713 5040 38 and and CC 39713 5040 39 the the DT 39713 5040 40 same same JJ 39713 5040 41 meaning meaning NN 39713 5040 42 . . . 39713 5041 1 So so RB 39713 5041 2 the the DT 39713 5041 3 hypothesis hypothesis NN 39713 5041 4 of of IN 39713 5041 5 the the DT 39713 5041 6 rotation rotation NN 39713 5041 7 of of IN 39713 5041 8 the the DT 39713 5041 9 earth earth NN 39713 5041 10 would would MD 39713 5041 11 have have VB 39713 5041 12 the the DT 39713 5041 13 same same JJ 39713 5041 14 degree degree NN 39713 5041 15 of of IN 39713 5041 16 certitude certitude NN 39713 5041 17 as as IN 39713 5041 18 the the DT 39713 5041 19 very very JJ 39713 5041 20 existence existence NN 39713 5041 21 of of IN 39713 5041 22 external external JJ 39713 5041 23 objects object NNS 39713 5041 24 . . . 39713 5042 1 But but CC 39713 5042 2 after after IN 39713 5042 3 what what WP 39713 5042 4 we -PRON- PRP 39713 5042 5 have have VBP 39713 5042 6 just just RB 39713 5042 7 explained explain VBN 39713 5042 8 in in IN 39713 5042 9 the the DT 39713 5042 10 fourth fourth JJ 39713 5042 11 part part NN 39713 5042 12 , , , 39713 5042 13 we -PRON- PRP 39713 5042 14 may may MD 39713 5042 15 go go VB 39713 5042 16 farther farther RB 39713 5042 17 . . . 39713 5043 1 A a DT 39713 5043 2 physical physical JJ 39713 5043 3 theory theory NN 39713 5043 4 , , , 39713 5043 5 we -PRON- PRP 39713 5043 6 have have VBP 39713 5043 7 said say VBD 39713 5043 8 , , , 39713 5043 9 is be VBZ 39713 5043 10 by by IN 39713 5043 11 so so RB 39713 5043 12 much much RB 39713 5043 13 the the DT 39713 5043 14 more more RBR 39713 5043 15 true true JJ 39713 5043 16 as as IN 39713 5043 17 it -PRON- PRP 39713 5043 18 puts put VBZ 39713 5043 19 in in IN 39713 5043 20 evidence evidence NN 39713 5043 21 more more RBR 39713 5043 22 true true JJ 39713 5043 23 relations relation NNS 39713 5043 24 . . . 39713 5044 1 In in IN 39713 5044 2 the the DT 39713 5044 3 light light NN 39713 5044 4 of of IN 39713 5044 5 this this DT 39713 5044 6 new new JJ 39713 5044 7 principle principle NN 39713 5044 8 , , , 39713 5044 9 let let VB 39713 5044 10 us -PRON- PRP 39713 5044 11 examine examine VB 39713 5044 12 the the DT 39713 5044 13 question question NN 39713 5044 14 which which WDT 39713 5044 15 occupies occupy VBZ 39713 5044 16 us -PRON- PRP 39713 5044 17 . . . 39713 5045 1 No no UH 39713 5045 2 , , , 39713 5045 3 there there EX 39713 5045 4 is be VBZ 39713 5045 5 no no DT 39713 5045 6 absolute absolute JJ 39713 5045 7 space space NN 39713 5045 8 ; ; : 39713 5045 9 these these DT 39713 5045 10 two two CD 39713 5045 11 contradictory contradictory JJ 39713 5045 12 propositions proposition NNS 39713 5045 13 : : : 39713 5045 14 ' ' '' 39713 5045 15 The the DT 39713 5045 16 earth earth NN 39713 5045 17 turns turn VBZ 39713 5045 18 round round JJ 39713 5045 19 ' ' '' 39713 5045 20 and and CC 39713 5045 21 ' ' '' 39713 5045 22 The the DT 39713 5045 23 earth earth NN 39713 5045 24 does do VBZ 39713 5045 25 not not RB 39713 5045 26 turn turn VB 39713 5045 27 round round RB 39713 5045 28 ' ' '' 39713 5045 29 are be VBP 39713 5045 30 , , , 39713 5045 31 therefore therefore RB 39713 5045 32 , , , 39713 5045 33 neither neither DT 39713 5045 34 of of IN 39713 5045 35 them -PRON- PRP 39713 5045 36 more more RBR 39713 5045 37 true true JJ 39713 5045 38 than than IN 39713 5045 39 the the DT 39713 5045 40 other other JJ 39713 5045 41 . . . 39713 5046 1 To to TO 39713 5046 2 affirm affirm VB 39713 5046 3 one one NN 39713 5046 4 while while IN 39713 5046 5 denying deny VBG 39713 5046 6 the the DT 39713 5046 7 other other JJ 39713 5046 8 , , , 39713 5046 9 _ _ NNP 39713 5046 10 in in IN 39713 5046 11 the the DT 39713 5046 12 kinematic kinematic JJ 39713 5046 13 sense sense NN 39713 5046 14 _ _ NNP 39713 5046 15 , , , 39713 5046 16 would would MD 39713 5046 17 be be VB 39713 5046 18 to to TO 39713 5046 19 admit admit VB 39713 5046 20 the the DT 39713 5046 21 existence existence NN 39713 5046 22 of of IN 39713 5046 23 absolute absolute JJ 39713 5046 24 space space NN 39713 5046 25 . . . 39713 5047 1 But but CC 39713 5047 2 if if IN 39713 5047 3 the the DT 39713 5047 4 one one CD 39713 5047 5 reveals reveal VBZ 39713 5047 6 true true JJ 39713 5047 7 relations relation NNS 39713 5047 8 that that WDT 39713 5047 9 the the DT 39713 5047 10 other other JJ 39713 5047 11 hides hide NNS 39713 5047 12 from from IN 39713 5047 13 us -PRON- PRP 39713 5047 14 , , , 39713 5047 15 we -PRON- PRP 39713 5047 16 can can MD 39713 5047 17 nevertheless nevertheless RB 39713 5047 18 regard regard VB 39713 5047 19 it -PRON- PRP 39713 5047 20 as as RB 39713 5047 21 physically physically RB 39713 5047 22 more more RBR 39713 5047 23 true true JJ 39713 5047 24 than than IN 39713 5047 25 the the DT 39713 5047 26 other other JJ 39713 5047 27 , , , 39713 5047 28 since since IN 39713 5047 29 it -PRON- PRP 39713 5047 30 has have VBZ 39713 5047 31 a a DT 39713 5047 32 richer rich JJR 39713 5047 33 content content NN 39713 5047 34 . . . 39713 5048 1 Now now RB 39713 5048 2 in in IN 39713 5048 3 this this DT 39713 5048 4 regard regard NN 39713 5048 5 no no DT 39713 5048 6 doubt doubt NN 39713 5048 7 is be VBZ 39713 5048 8 possible possible JJ 39713 5048 9 . . . 39713 5049 1 Behold behold VB 39713 5049 2 the the DT 39713 5049 3 apparent apparent JJ 39713 5049 4 diurnal diurnal JJ 39713 5049 5 motion motion NN 39713 5049 6 of of IN 39713 5049 7 the the DT 39713 5049 8 stars star NNS 39713 5049 9 , , , 39713 5049 10 and and CC 39713 5049 11 the the DT 39713 5049 12 diurnal diurnal JJ 39713 5049 13 motion motion NN 39713 5049 14 of of IN 39713 5049 15 the the DT 39713 5049 16 other other JJ 39713 5049 17 heavenly heavenly JJ 39713 5049 18 bodies body NNS 39713 5049 19 , , , 39713 5049 20 and and CC 39713 5049 21 besides besides RB 39713 5049 22 , , , 39713 5049 23 the the DT 39713 5049 24 flattening flattening NN 39713 5049 25 of of IN 39713 5049 26 the the DT 39713 5049 27 earth earth NN 39713 5049 28 , , , 39713 5049 29 the the DT 39713 5049 30 rotation rotation NN 39713 5049 31 of of IN 39713 5049 32 Foucault Foucault NNP 39713 5049 33 's 's POS 39713 5049 34 pendulum pendulum NN 39713 5049 35 , , , 39713 5049 36 the the DT 39713 5049 37 gyration gyration NN 39713 5049 38 of of IN 39713 5049 39 cyclones cyclone NNS 39713 5049 40 , , , 39713 5049 41 the the DT 39713 5049 42 trade trade NN 39713 5049 43 - - HYPH 39713 5049 44 winds wind NNS 39713 5049 45 , , , 39713 5049 46 what what WP 39713 5049 47 not not RB 39713 5049 48 else else RB 39713 5049 49 ? ? . 39713 5050 1 For for IN 39713 5050 2 the the DT 39713 5050 3 Ptolemaist Ptolemaist NNP 39713 5050 4 all all PDT 39713 5050 5 these these DT 39713 5050 6 phenomena phenomenon NNS 39713 5050 7 have have VBP 39713 5050 8 no no DT 39713 5050 9 bond bond NN 39713 5050 10 between between IN 39713 5050 11 them -PRON- PRP 39713 5050 12 ; ; : 39713 5050 13 for for IN 39713 5050 14 the the DT 39713 5050 15 Copernican Copernican NNPS 39713 5050 16 they -PRON- PRP 39713 5050 17 are be VBP 39713 5050 18 produced produce VBN 39713 5050 19 by by IN 39713 5050 20 the the DT 39713 5050 21 one one CD 39713 5050 22 same same JJ 39713 5050 23 cause cause NN 39713 5050 24 . . . 39713 5051 1 In in IN 39713 5051 2 saying say VBG 39713 5051 3 , , , 39713 5051 4 the the DT 39713 5051 5 earth earth NN 39713 5051 6 turns turn VBZ 39713 5051 7 round round JJ 39713 5051 8 , , , 39713 5051 9 I -PRON- PRP 39713 5051 10 affirm affirm VBP 39713 5051 11 that that IN 39713 5051 12 all all PDT 39713 5051 13 these these DT 39713 5051 14 phenomena phenomenon NNS 39713 5051 15 have have VBP 39713 5051 16 an an DT 39713 5051 17 intimate intimate JJ 39713 5051 18 relation relation NN 39713 5051 19 , , , 39713 5051 20 and and CC 39713 5051 21 _ _ NNP 39713 5051 22 that that WDT 39713 5051 23 is be VBZ 39713 5051 24 true true JJ 39713 5051 25 _ _ NNP 39713 5051 26 , , , 39713 5051 27 and and CC 39713 5051 28 that that DT 39713 5051 29 remains remain VBZ 39713 5051 30 true true JJ 39713 5051 31 , , , 39713 5051 32 although although IN 39713 5051 33 there there EX 39713 5051 34 is be VBZ 39713 5051 35 not not RB 39713 5051 36 and and CC 39713 5051 37 can can MD 39713 5051 38 not not RB 39713 5051 39 be be VB 39713 5051 40 absolute absolute JJ 39713 5051 41 space space NN 39713 5051 42 . . . 39713 5052 1 So so RB 39713 5052 2 much much JJ 39713 5052 3 for for IN 39713 5052 4 the the DT 39713 5052 5 rotation rotation NN 39713 5052 6 of of IN 39713 5052 7 the the DT 39713 5052 8 earth earth NN 39713 5052 9 upon upon IN 39713 5052 10 itself -PRON- PRP 39713 5052 11 ; ; : 39713 5052 12 what what WP 39713 5052 13 shall shall MD 39713 5052 14 we -PRON- PRP 39713 5052 15 say say VB 39713 5052 16 of of IN 39713 5052 17 its -PRON- PRP$ 39713 5052 18 revolution revolution NN 39713 5052 19 around around IN 39713 5052 20 the the DT 39713 5052 21 sun sun NN 39713 5052 22 ? ? . 39713 5053 1 Here here RB 39713 5053 2 again again RB 39713 5053 3 , , , 39713 5053 4 we -PRON- PRP 39713 5053 5 have have VBP 39713 5053 6 three three CD 39713 5053 7 phenomena phenomenon NNS 39713 5053 8 which which WDT 39713 5053 9 for for IN 39713 5053 10 the the DT 39713 5053 11 Ptolemaist Ptolemaist NNP 39713 5053 12 are be VBP 39713 5053 13 absolutely absolutely RB 39713 5053 14 independent independent JJ 39713 5053 15 and and CC 39713 5053 16 which which WDT 39713 5053 17 for for IN 39713 5053 18 the the DT 39713 5053 19 Copernican Copernican NNPS 39713 5053 20 are be VBP 39713 5053 21 referred refer VBN 39713 5053 22 back back RB 39713 5053 23 to to IN 39713 5053 24 the the DT 39713 5053 25 same same JJ 39713 5053 26 origin origin NN 39713 5053 27 ; ; : 39713 5053 28 they -PRON- PRP 39713 5053 29 are be VBP 39713 5053 30 the the DT 39713 5053 31 apparent apparent JJ 39713 5053 32 displacements displacement NNS 39713 5053 33 of of IN 39713 5053 34 the the DT 39713 5053 35 planets planet NNS 39713 5053 36 on on IN 39713 5053 37 the the DT 39713 5053 38 celestial celestial JJ 39713 5053 39 sphere sphere NN 39713 5053 40 , , , 39713 5053 41 the the DT 39713 5053 42 aberration aberration NN 39713 5053 43 of of IN 39713 5053 44 the the DT 39713 5053 45 fixed fix VBN 39713 5053 46 stars star NNS 39713 5053 47 , , , 39713 5053 48 the the DT 39713 5053 49 parallax parallax NN 39713 5053 50 of of IN 39713 5053 51 these these DT 39713 5053 52 same same JJ 39713 5053 53 stars star NNS 39713 5053 54 . . . 39713 5054 1 Is be VBZ 39713 5054 2 it -PRON- PRP 39713 5054 3 by by IN 39713 5054 4 chance chance NN 39713 5054 5 that that IN 39713 5054 6 all all PDT 39713 5054 7 the the DT 39713 5054 8 planets planet NNS 39713 5054 9 admit admit VBP 39713 5054 10 an an DT 39713 5054 11 inequality inequality NN 39713 5054 12 whose whose WP$ 39713 5054 13 period period NN 39713 5054 14 is be VBZ 39713 5054 15 a a DT 39713 5054 16 year year NN 39713 5054 17 , , , 39713 5054 18 and and CC 39713 5054 19 that that IN 39713 5054 20 this this DT 39713 5054 21 period period NN 39713 5054 22 is be VBZ 39713 5054 23 precisely precisely RB 39713 5054 24 equal equal JJ 39713 5054 25 to to IN 39713 5054 26 that that DT 39713 5054 27 of of IN 39713 5054 28 aberration aberration NN 39713 5054 29 , , , 39713 5054 30 precisely precisely RB 39713 5054 31 equal equal JJ 39713 5054 32 besides besides IN 39713 5054 33 to to IN 39713 5054 34 that that DT 39713 5054 35 of of IN 39713 5054 36 parallax parallax NN 39713 5054 37 ? ? . 39713 5055 1 To to TO 39713 5055 2 adopt adopt VB 39713 5055 3 Ptolemy Ptolemy NNP 39713 5055 4 's 's POS 39713 5055 5 system system NN 39713 5055 6 is be VBZ 39713 5055 7 to to TO 39713 5055 8 answer answer VB 39713 5055 9 , , , 39713 5055 10 yes yes UH 39713 5055 11 ; ; : 39713 5055 12 to to TO 39713 5055 13 adopt adopt VB 39713 5055 14 that that DT 39713 5055 15 of of IN 39713 5055 16 Copernicus Copernicus NNP 39713 5055 17 is be VBZ 39713 5055 18 to to TO 39713 5055 19 answer answer VB 39713 5055 20 , , , 39713 5055 21 no no UH 39713 5055 22 ; ; : 39713 5055 23 this this DT 39713 5055 24 is be VBZ 39713 5055 25 to to TO 39713 5055 26 affirm affirm VB 39713 5055 27 that that IN 39713 5055 28 there there EX 39713 5055 29 is be VBZ 39713 5055 30 a a DT 39713 5055 31 bond bond NN 39713 5055 32 between between IN 39713 5055 33 the the DT 39713 5055 34 three three CD 39713 5055 35 phenomena phenomenon NNS 39713 5055 36 , , , 39713 5055 37 and and CC 39713 5055 38 that that DT 39713 5055 39 also also RB 39713 5055 40 is be VBZ 39713 5055 41 true true JJ 39713 5055 42 , , , 39713 5055 43 although although IN 39713 5055 44 there there EX 39713 5055 45 is be VBZ 39713 5055 46 no no DT 39713 5055 47 absolute absolute JJ 39713 5055 48 space space NN 39713 5055 49 . . . 39713 5056 1 In in IN 39713 5056 2 Ptolemy Ptolemy NNP 39713 5056 3 's 's POS 39713 5056 4 system system NN 39713 5056 5 , , , 39713 5056 6 the the DT 39713 5056 7 motions motion NNS 39713 5056 8 of of IN 39713 5056 9 the the DT 39713 5056 10 heavenly heavenly JJ 39713 5056 11 bodies body NNS 39713 5056 12 can can MD 39713 5056 13 not not RB 39713 5056 14 be be VB 39713 5056 15 explained explain VBN 39713 5056 16 by by IN 39713 5056 17 the the DT 39713 5056 18 action action NN 39713 5056 19 of of IN 39713 5056 20 central central JJ 39713 5056 21 forces force NNS 39713 5056 22 , , , 39713 5056 23 celestial celestial JJ 39713 5056 24 mechanics mechanic NNS 39713 5056 25 is be VBZ 39713 5056 26 impossible impossible JJ 39713 5056 27 . . . 39713 5057 1 The the DT 39713 5057 2 intimate intimate JJ 39713 5057 3 relations relation NNS 39713 5057 4 that that WDT 39713 5057 5 celestial celestial JJ 39713 5057 6 mechanics mechanic NNS 39713 5057 7 reveals reveal VBZ 39713 5057 8 to to IN 39713 5057 9 us -PRON- PRP 39713 5057 10 between between IN 39713 5057 11 all all PDT 39713 5057 12 the the DT 39713 5057 13 celestial celestial JJ 39713 5057 14 phenomena phenomenon NNS 39713 5057 15 are be VBP 39713 5057 16 true true JJ 39713 5057 17 relations relation NNS 39713 5057 18 ; ; : 39713 5057 19 to to TO 39713 5057 20 affirm affirm VB 39713 5057 21 the the DT 39713 5057 22 immobility immobility NN 39713 5057 23 of of IN 39713 5057 24 the the DT 39713 5057 25 earth earth NN 39713 5057 26 would would MD 39713 5057 27 be be VB 39713 5057 28 to to TO 39713 5057 29 deny deny VB 39713 5057 30 these these DT 39713 5057 31 relations relation NNS 39713 5057 32 , , , 39713 5057 33 that that WDT 39713 5057 34 would would MD 39713 5057 35 be be VB 39713 5057 36 to to TO 39713 5057 37 fool fool VB 39713 5057 38 ourselves -PRON- PRP 39713 5057 39 . . . 39713 5058 1 The the DT 39713 5058 2 truth truth NN 39713 5058 3 for for IN 39713 5058 4 which which WDT 39713 5058 5 Galileo Galileo NNP 39713 5058 6 suffered suffer VBD 39713 5058 7 remains remain NNS 39713 5058 8 , , , 39713 5058 9 therefore therefore RB 39713 5058 10 , , , 39713 5058 11 the the DT 39713 5058 12 truth truth NN 39713 5058 13 , , , 39713 5058 14 although although IN 39713 5058 15 it -PRON- PRP 39713 5058 16 has have VBZ 39713 5058 17 not not RB 39713 5058 18 altogether altogether RB 39713 5058 19 the the DT 39713 5058 20 same same JJ 39713 5058 21 meaning meaning NN 39713 5058 22 as as IN 39713 5058 23 for for IN 39713 5058 24 the the DT 39713 5058 25 vulgar vulgar NN 39713 5058 26 , , , 39713 5058 27 and and CC 39713 5058 28 its -PRON- PRP$ 39713 5058 29 true true JJ 39713 5058 30 meaning meaning NN 39713 5058 31 is be VBZ 39713 5058 32 much much RB 39713 5058 33 more more RBR 39713 5058 34 subtle subtle JJ 39713 5058 35 , , , 39713 5058 36 more more RBR 39713 5058 37 profound profound JJ 39713 5058 38 and and CC 39713 5058 39 more more RBR 39713 5058 40 rich rich JJ 39713 5058 41 . . . 39713 5059 1 8 8 LS 39713 5059 2 . . . 39713 5060 1 _ _ NNP 39713 5060 2 Science Science NNP 39713 5060 3 for for IN 39713 5060 4 Its -PRON- PRP$ 39713 5060 5 Own own JJ 39713 5060 6 Sake sake NN 39713 5060 7 _ _ NNP 39713 5060 8 Not not RB 39713 5060 9 against against IN 39713 5060 10 M. M. NNP 39713 5060 11 LeRoy LeRoy NNP 39713 5060 12 do do VBP 39713 5060 13 I -PRON- PRP 39713 5060 14 wish wish VB 39713 5060 15 to to TO 39713 5060 16 defend defend VB 39713 5060 17 science science NN 39713 5060 18 for for IN 39713 5060 19 its -PRON- PRP$ 39713 5060 20 own own JJ 39713 5060 21 sake sake NN 39713 5060 22 ; ; : 39713 5060 23 maybe maybe RB 39713 5060 24 this this DT 39713 5060 25 is be VBZ 39713 5060 26 what what WP 39713 5060 27 he -PRON- PRP 39713 5060 28 condemns condemn VBZ 39713 5060 29 , , , 39713 5060 30 but but CC 39713 5060 31 this this DT 39713 5060 32 is be VBZ 39713 5060 33 what what WP 39713 5060 34 he -PRON- PRP 39713 5060 35 cultivates cultivate VBZ 39713 5060 36 , , , 39713 5060 37 since since IN 39713 5060 38 he -PRON- PRP 39713 5060 39 loves love VBZ 39713 5060 40 and and CC 39713 5060 41 seeks seek VBZ 39713 5060 42 truth truth NN 39713 5060 43 and and CC 39713 5060 44 could could MD 39713 5060 45 not not RB 39713 5060 46 live live VB 39713 5060 47 without without IN 39713 5060 48 it -PRON- PRP 39713 5060 49 . . . 39713 5061 1 But but CC 39713 5061 2 I -PRON- PRP 39713 5061 3 have have VBP 39713 5061 4 some some DT 39713 5061 5 thoughts thought NNS 39713 5061 6 to to TO 39713 5061 7 express express VB 39713 5061 8 . . . 39713 5062 1 We -PRON- PRP 39713 5062 2 can can MD 39713 5062 3 not not RB 39713 5062 4 know know VB 39713 5062 5 all all DT 39713 5062 6 facts fact NNS 39713 5062 7 and and CC 39713 5062 8 it -PRON- PRP 39713 5062 9 is be VBZ 39713 5062 10 necessary necessary JJ 39713 5062 11 to to TO 39713 5062 12 choose choose VB 39713 5062 13 those those DT 39713 5062 14 which which WDT 39713 5062 15 are be VBP 39713 5062 16 worthy worthy JJ 39713 5062 17 of of IN 39713 5062 18 being be VBG 39713 5062 19 known know VBN 39713 5062 20 . . . 39713 5063 1 According accord VBG 39713 5063 2 to to IN 39713 5063 3 Tolstoi Tolstoi NNP 39713 5063 4 , , , 39713 5063 5 scientists scientist NNS 39713 5063 6 make make VBP 39713 5063 7 this this DT 39713 5063 8 choice choice NN 39713 5063 9 at at IN 39713 5063 10 random random JJ 39713 5063 11 , , , 39713 5063 12 instead instead RB 39713 5063 13 of of IN 39713 5063 14 making make VBG 39713 5063 15 it -PRON- PRP 39713 5063 16 , , , 39713 5063 17 which which WDT 39713 5063 18 would would MD 39713 5063 19 be be VB 39713 5063 20 reasonable reasonable JJ 39713 5063 21 , , , 39713 5063 22 with with IN 39713 5063 23 a a DT 39713 5063 24 view view NN 39713 5063 25 to to IN 39713 5063 26 practical practical JJ 39713 5063 27 applications application NNS 39713 5063 28 . . . 39713 5064 1 On on IN 39713 5064 2 the the DT 39713 5064 3 contrary contrary NN 39713 5064 4 , , , 39713 5064 5 scientists scientist NNS 39713 5064 6 think think VBP 39713 5064 7 that that IN 39713 5064 8 certain certain JJ 39713 5064 9 facts fact NNS 39713 5064 10 are be VBP 39713 5064 11 more more RBR 39713 5064 12 interesting interesting JJ 39713 5064 13 than than IN 39713 5064 14 others other NNS 39713 5064 15 , , , 39713 5064 16 because because IN 39713 5064 17 they -PRON- PRP 39713 5064 18 complete complete VBP 39713 5064 19 an an DT 39713 5064 20 unfinished unfinished JJ 39713 5064 21 harmony harmony NN 39713 5064 22 , , , 39713 5064 23 or or CC 39713 5064 24 because because IN 39713 5064 25 they -PRON- PRP 39713 5064 26 make make VBP 39713 5064 27 one one CD 39713 5064 28 foresee foresee VB 39713 5064 29 a a DT 39713 5064 30 great great JJ 39713 5064 31 number number NN 39713 5064 32 of of IN 39713 5064 33 other other JJ 39713 5064 34 facts fact NNS 39713 5064 35 . . . 39713 5065 1 If if IN 39713 5065 2 they -PRON- PRP 39713 5065 3 are be VBP 39713 5065 4 wrong wrong JJ 39713 5065 5 , , , 39713 5065 6 if if IN 39713 5065 7 this this DT 39713 5065 8 hierarchy hierarchy NN 39713 5065 9 of of IN 39713 5065 10 facts fact NNS 39713 5065 11 that that IN 39713 5065 12 they -PRON- PRP 39713 5065 13 implicitly implicitly RB 39713 5065 14 postulate postulate VBP 39713 5065 15 is be VBZ 39713 5065 16 only only RB 39713 5065 17 an an DT 39713 5065 18 idle idle JJ 39713 5065 19 illusion illusion NN 39713 5065 20 , , , 39713 5065 21 there there EX 39713 5065 22 could could MD 39713 5065 23 be be VB 39713 5065 24 no no DT 39713 5065 25 science science NN 39713 5065 26 for for IN 39713 5065 27 its -PRON- PRP$ 39713 5065 28 own own JJ 39713 5065 29 sake sake NN 39713 5065 30 , , , 39713 5065 31 and and CC 39713 5065 32 consequently consequently RB 39713 5065 33 there there EX 39713 5065 34 could could MD 39713 5065 35 be be VB 39713 5065 36 no no DT 39713 5065 37 science science NN 39713 5065 38 . . . 39713 5066 1 As as IN 39713 5066 2 for for IN 39713 5066 3 me -PRON- PRP 39713 5066 4 , , , 39713 5066 5 I -PRON- PRP 39713 5066 6 believe believe VBP 39713 5066 7 they -PRON- PRP 39713 5066 8 are be VBP 39713 5066 9 right right JJ 39713 5066 10 , , , 39713 5066 11 and and CC 39713 5066 12 , , , 39713 5066 13 for for IN 39713 5066 14 example example NN 39713 5066 15 , , , 39713 5066 16 I -PRON- PRP 39713 5066 17 have have VBP 39713 5066 18 shown show VBN 39713 5066 19 above above IN 39713 5066 20 what what WP 39713 5066 21 is be VBZ 39713 5066 22 the the DT 39713 5066 23 high high JJ 39713 5066 24 value value NN 39713 5066 25 of of IN 39713 5066 26 astronomical astronomical JJ 39713 5066 27 facts fact NNS 39713 5066 28 , , , 39713 5066 29 not not RB 39713 5066 30 because because IN 39713 5066 31 they -PRON- PRP 39713 5066 32 are be VBP 39713 5066 33 capable capable JJ 39713 5066 34 of of IN 39713 5066 35 practical practical JJ 39713 5066 36 applications application NNS 39713 5066 37 , , , 39713 5066 38 but but CC 39713 5066 39 because because IN 39713 5066 40 they -PRON- PRP 39713 5066 41 are be VBP 39713 5066 42 the the DT 39713 5066 43 most most RBS 39713 5066 44 instructive instructive JJ 39713 5066 45 of of IN 39713 5066 46 all all DT 39713 5066 47 . . . 39713 5067 1 It -PRON- PRP 39713 5067 2 is be VBZ 39713 5067 3 only only RB 39713 5067 4 through through IN 39713 5067 5 science science NN 39713 5067 6 and and CC 39713 5067 7 art art NN 39713 5067 8 that that DT 39713 5067 9 civilization civilization NN 39713 5067 10 is be VBZ 39713 5067 11 of of IN 39713 5067 12 value value NN 39713 5067 13 . . . 39713 5068 1 Some some DT 39713 5068 2 have have VBP 39713 5068 3 wondered wonder VBN 39713 5068 4 at at IN 39713 5068 5 the the DT 39713 5068 6 formula formula NN 39713 5068 7 : : : 39713 5068 8 science science NN 39713 5068 9 for for IN 39713 5068 10 its -PRON- PRP$ 39713 5068 11 own own JJ 39713 5068 12 sake sake NN 39713 5068 13 ; ; : 39713 5068 14 and and CC 39713 5068 15 yet yet RB 39713 5068 16 it -PRON- PRP 39713 5068 17 is be VBZ 39713 5068 18 as as RB 39713 5068 19 good good JJ 39713 5068 20 as as IN 39713 5068 21 life life NN 39713 5068 22 for for IN 39713 5068 23 its -PRON- PRP$ 39713 5068 24 own own JJ 39713 5068 25 sake sake NN 39713 5068 26 , , , 39713 5068 27 if if IN 39713 5068 28 life life NN 39713 5068 29 is be VBZ 39713 5068 30 only only RB 39713 5068 31 misery misery NN 39713 5068 32 ; ; : 39713 5068 33 and and CC 39713 5068 34 even even RB 39713 5068 35 as as IN 39713 5068 36 happiness happiness NN 39713 5068 37 for for IN 39713 5068 38 its -PRON- PRP$ 39713 5068 39 own own JJ 39713 5068 40 sake sake NN 39713 5068 41 , , , 39713 5068 42 if if IN 39713 5068 43 we -PRON- PRP 39713 5068 44 do do VBP 39713 5068 45 not not RB 39713 5068 46 believe believe VB 39713 5068 47 that that IN 39713 5068 48 all all DT 39713 5068 49 pleasures pleasure NNS 39713 5068 50 are be VBP 39713 5068 51 of of IN 39713 5068 52 the the DT 39713 5068 53 same same JJ 39713 5068 54 quality quality NN 39713 5068 55 , , , 39713 5068 56 if if IN 39713 5068 57 we -PRON- PRP 39713 5068 58 do do VBP 39713 5068 59 not not RB 39713 5068 60 wish wish VB 39713 5068 61 to to TO 39713 5068 62 admit admit VB 39713 5068 63 that that IN 39713 5068 64 the the DT 39713 5068 65 goal goal NN 39713 5068 66 of of IN 39713 5068 67 civilization civilization NN 39713 5068 68 is be VBZ 39713 5068 69 to to TO 39713 5068 70 furnish furnish VB 39713 5068 71 alcohol alcohol NN 39713 5068 72 to to IN 39713 5068 73 people people NNS 39713 5068 74 who who WP 39713 5068 75 love love VBP 39713 5068 76 to to TO 39713 5068 77 drink drink VB 39713 5068 78 . . . 39713 5069 1 Every every DT 39713 5069 2 act act NN 39713 5069 3 should should MD 39713 5069 4 have have VB 39713 5069 5 an an DT 39713 5069 6 aim aim NN 39713 5069 7 . . . 39713 5070 1 We -PRON- PRP 39713 5070 2 must must MD 39713 5070 3 suffer suffer VB 39713 5070 4 , , , 39713 5070 5 we -PRON- PRP 39713 5070 6 must must MD 39713 5070 7 work work VB 39713 5070 8 , , , 39713 5070 9 we -PRON- PRP 39713 5070 10 must must MD 39713 5070 11 pay pay VB 39713 5070 12 for for IN 39713 5070 13 our -PRON- PRP$ 39713 5070 14 place place NN 39713 5070 15 at at IN 39713 5070 16 the the DT 39713 5070 17 game game NN 39713 5070 18 , , , 39713 5070 19 but but CC 39713 5070 20 this this DT 39713 5070 21 is be VBZ 39713 5070 22 for for IN 39713 5070 23 seeing see VBG 39713 5070 24 's 's POS 39713 5070 25 sake sake NN 39713 5070 26 ; ; : 39713 5070 27 or or CC 39713 5070 28 at at IN 39713 5070 29 the the DT 39713 5070 30 very very RB 39713 5070 31 least least JJS 39713 5070 32 that that IN 39713 5070 33 others other NNS 39713 5070 34 may may MD 39713 5070 35 one one CD 39713 5070 36 day day NN 39713 5070 37 see see VB 39713 5070 38 . . . 39713 5071 1 All all DT 39713 5071 2 that that WDT 39713 5071 3 is be VBZ 39713 5071 4 not not RB 39713 5071 5 thought think VBN 39713 5071 6 is be VBZ 39713 5071 7 pure pure JJ 39713 5071 8 nothingness nothingness NN 39713 5071 9 ; ; : 39713 5071 10 since since IN 39713 5071 11 we -PRON- PRP 39713 5071 12 can can MD 39713 5071 13 think think VB 39713 5071 14 only only RB 39713 5071 15 thoughts thought NNS 39713 5071 16 and and CC 39713 5071 17 all all PDT 39713 5071 18 the the DT 39713 5071 19 words word NNS 39713 5071 20 we -PRON- PRP 39713 5071 21 use use VBP 39713 5071 22 to to TO 39713 5071 23 speak speak VB 39713 5071 24 of of IN 39713 5071 25 things thing NNS 39713 5071 26 can can MD 39713 5071 27 express express VB 39713 5071 28 only only JJ 39713 5071 29 thoughts thought NNS 39713 5071 30 , , , 39713 5071 31 to to TO 39713 5071 32 say say VB 39713 5071 33 there there EX 39713 5071 34 is be VBZ 39713 5071 35 something something NN 39713 5071 36 other other JJ 39713 5071 37 than than IN 39713 5071 38 thought think VBN 39713 5071 39 , , , 39713 5071 40 is be VBZ 39713 5071 41 therefore therefore RB 39713 5071 42 an an DT 39713 5071 43 affirmation affirmation NN 39713 5071 44 which which WDT 39713 5071 45 can can MD 39713 5071 46 have have VB 39713 5071 47 no no DT 39713 5071 48 meaning meaning NN 39713 5071 49 . . . 39713 5072 1 And and CC 39713 5072 2 yet yet RB 39713 5072 3 -- -- : 39713 5072 4 strange strange JJ 39713 5072 5 contradiction contradiction NN 39713 5072 6 for for IN 39713 5072 7 those those DT 39713 5072 8 who who WP 39713 5072 9 believe believe VBP 39713 5072 10 in in IN 39713 5072 11 time time NN 39713 5072 12 -- -- : 39713 5072 13 geologic geologic NN 39713 5072 14 history history NN 39713 5072 15 shows show VBZ 39713 5072 16 us -PRON- PRP 39713 5072 17 that that DT 39713 5072 18 life life NN 39713 5072 19 is be VBZ 39713 5072 20 only only RB 39713 5072 21 a a DT 39713 5072 22 short short JJ 39713 5072 23 episode episode NN 39713 5072 24 between between IN 39713 5072 25 two two CD 39713 5072 26 eternities eternity NNS 39713 5072 27 of of IN 39713 5072 28 death death NN 39713 5072 29 , , , 39713 5072 30 and and CC 39713 5072 31 that that IN 39713 5072 32 , , , 39713 5072 33 even even RB 39713 5072 34 in in IN 39713 5072 35 this this DT 39713 5072 36 episode episode NN 39713 5072 37 , , , 39713 5072 38 conscious conscious JJ 39713 5072 39 thought thought NN 39713 5072 40 has have VBZ 39713 5072 41 lasted last VBN 39713 5072 42 and and CC 39713 5072 43 will will MD 39713 5072 44 last last VB 39713 5072 45 only only RB 39713 5072 46 a a DT 39713 5072 47 moment moment NN 39713 5072 48 . . . 39713 5073 1 Thought thought NN 39713 5073 2 is be VBZ 39713 5073 3 only only RB 39713 5073 4 a a DT 39713 5073 5 gleam gleam NN 39713 5073 6 in in IN 39713 5073 7 the the DT 39713 5073 8 midst midst NN 39713 5073 9 of of IN 39713 5073 10 a a DT 39713 5073 11 long long JJ 39713 5073 12 night night NN 39713 5073 13 . . . 39713 5074 1 But but CC 39713 5074 2 it -PRON- PRP 39713 5074 3 is be VBZ 39713 5074 4 this this DT 39713 5074 5 gleam gleam NN 39713 5074 6 which which WDT 39713 5074 7 is be VBZ 39713 5074 8 everything everything NN 39713 5074 9 . . . 39713 5075 1 * * NFP 39713 5075 2 * * NFP 39713 5075 3 * * NFP 39713 5075 4 * * NFP 39713 5075 5 * * NFP 39713 5075 6 SCIENCE science NN 39713 5075 7 AND and CC 39713 5075 8 METHOD method NN 39713 5075 9 * * NFP 39713 5075 10 * * NFP 39713 5075 11 * * NFP 39713 5075 12 * * NFP 39713 5075 13 * * NFP 39713 5075 14 INTRODUCTION introduction NN 39713 5075 15 I -PRON- PRP 39713 5075 16 bring bring VBP 39713 5075 17 together together RB 39713 5075 18 here here RB 39713 5075 19 different different JJ 39713 5075 20 studies study NNS 39713 5075 21 relating relate VBG 39713 5075 22 more more RBR 39713 5075 23 or or CC 39713 5075 24 less less RBR 39713 5075 25 directly directly RB 39713 5075 26 to to IN 39713 5075 27 questions question NNS 39713 5075 28 of of IN 39713 5075 29 scientific scientific JJ 39713 5075 30 methodology methodology NN 39713 5075 31 . . . 39713 5076 1 The the DT 39713 5076 2 scientific scientific JJ 39713 5076 3 method method NN 39713 5076 4 consists consist VBZ 39713 5076 5 in in IN 39713 5076 6 observing observe VBG 39713 5076 7 and and CC 39713 5076 8 experimenting experiment VBG 39713 5076 9 ; ; : 39713 5076 10 if if IN 39713 5076 11 the the DT 39713 5076 12 scientist scientist NN 39713 5076 13 had have VBD 39713 5076 14 at at IN 39713 5076 15 his -PRON- PRP$ 39713 5076 16 disposal disposal NN 39713 5076 17 infinite infinite JJ 39713 5076 18 time time NN 39713 5076 19 , , , 39713 5076 20 it -PRON- PRP 39713 5076 21 would would MD 39713 5076 22 only only RB 39713 5076 23 be be VB 39713 5076 24 necessary necessary JJ 39713 5076 25 to to TO 39713 5076 26 say say VB 39713 5076 27 to to IN 39713 5076 28 him -PRON- PRP 39713 5076 29 : : : 39713 5076 30 ' ' '' 39713 5076 31 Look look VB 39713 5076 32 and and CC 39713 5076 33 notice notice VB 39713 5076 34 well well JJ 39713 5076 35 ' ' '' 39713 5076 36 ; ; : 39713 5076 37 but but CC 39713 5076 38 , , , 39713 5076 39 as as IN 39713 5076 40 there there EX 39713 5076 41 is be VBZ 39713 5076 42 not not RB 39713 5076 43 time time NN 39713 5076 44 to to TO 39713 5076 45 see see VB 39713 5076 46 everything everything NN 39713 5076 47 , , , 39713 5076 48 and and CC 39713 5076 49 as as IN 39713 5076 50 it -PRON- PRP 39713 5076 51 is be VBZ 39713 5076 52 better well JJR 39713 5076 53 not not RB 39713 5076 54 to to TO 39713 5076 55 see see VB 39713 5076 56 than than IN 39713 5076 57 to to TO 39713 5076 58 see see VB 39713 5076 59 wrongly wrongly RB 39713 5076 60 , , , 39713 5076 61 it -PRON- PRP 39713 5076 62 is be VBZ 39713 5076 63 necessary necessary JJ 39713 5076 64 for for IN 39713 5076 65 him -PRON- PRP 39713 5076 66 to to TO 39713 5076 67 make make VB 39713 5076 68 choice choice NN 39713 5076 69 . . . 39713 5077 1 The the DT 39713 5077 2 first first JJ 39713 5077 3 question question NN 39713 5077 4 , , , 39713 5077 5 therefore therefore RB 39713 5077 6 , , , 39713 5077 7 is be VBZ 39713 5077 8 how how WRB 39713 5077 9 he -PRON- PRP 39713 5077 10 should should MD 39713 5077 11 make make VB 39713 5077 12 this this DT 39713 5077 13 choice choice NN 39713 5077 14 . . . 39713 5078 1 This this DT 39713 5078 2 question question NN 39713 5078 3 presents present VBZ 39713 5078 4 itself -PRON- PRP 39713 5078 5 as as RB 39713 5078 6 well well RB 39713 5078 7 to to IN 39713 5078 8 the the DT 39713 5078 9 physicist physicist NN 39713 5078 10 as as IN 39713 5078 11 to to IN 39713 5078 12 the the DT 39713 5078 13 historian historian NN 39713 5078 14 ; ; : 39713 5078 15 it -PRON- PRP 39713 5078 16 presents present VBZ 39713 5078 17 itself -PRON- PRP 39713 5078 18 equally equally RB 39713 5078 19 to to IN 39713 5078 20 the the DT 39713 5078 21 mathematician mathematician NN 39713 5078 22 , , , 39713 5078 23 and and CC 39713 5078 24 the the DT 39713 5078 25 principles principle NNS 39713 5078 26 which which WDT 39713 5078 27 should should MD 39713 5078 28 guide guide VB 39713 5078 29 each each DT 39713 5078 30 are be VBP 39713 5078 31 not not RB 39713 5078 32 without without IN 39713 5078 33 analogy analogy NN 39713 5078 34 . . . 39713 5079 1 The the DT 39713 5079 2 scientist scientist NN 39713 5079 3 conforms conform VBZ 39713 5079 4 to to IN 39713 5079 5 them -PRON- PRP 39713 5079 6 instinctively instinctively RB 39713 5079 7 , , , 39713 5079 8 and and CC 39713 5079 9 one one PRP 39713 5079 10 can can MD 39713 5079 11 , , , 39713 5079 12 reflecting reflect VBG 39713 5079 13 on on IN 39713 5079 14 these these DT 39713 5079 15 principles principle NNS 39713 5079 16 , , , 39713 5079 17 foretell foretell VB 39713 5079 18 the the DT 39713 5079 19 future future NN 39713 5079 20 of of IN 39713 5079 21 mathematics mathematic NNS 39713 5079 22 . . . 39713 5080 1 We -PRON- PRP 39713 5080 2 shall shall MD 39713 5080 3 understand understand VB 39713 5080 4 them -PRON- PRP 39713 5080 5 better well RBR 39713 5080 6 yet yet CC 39713 5080 7 if if IN 39713 5080 8 we -PRON- PRP 39713 5080 9 observe observe VBP 39713 5080 10 the the DT 39713 5080 11 scientist scientist NN 39713 5080 12 at at IN 39713 5080 13 work work NN 39713 5080 14 , , , 39713 5080 15 and and CC 39713 5080 16 first first RB 39713 5080 17 of of IN 39713 5080 18 all all DT 39713 5080 19 it -PRON- PRP 39713 5080 20 is be VBZ 39713 5080 21 necessary necessary JJ 39713 5080 22 to to TO 39713 5080 23 know know VB 39713 5080 24 the the DT 39713 5080 25 psychologic psychologic JJ 39713 5080 26 mechanism mechanism NN 39713 5080 27 of of IN 39713 5080 28 invention invention NN 39713 5080 29 and and CC 39713 5080 30 , , , 39713 5080 31 in in IN 39713 5080 32 particular particular JJ 39713 5080 33 , , , 39713 5080 34 that that DT 39713 5080 35 of of IN 39713 5080 36 mathematical mathematical JJ 39713 5080 37 creation creation NN 39713 5080 38 . . . 39713 5081 1 Observation observation NN 39713 5081 2 of of IN 39713 5081 3 the the DT 39713 5081 4 processes process NNS 39713 5081 5 of of IN 39713 5081 6 the the DT 39713 5081 7 work work NN 39713 5081 8 of of IN 39713 5081 9 the the DT 39713 5081 10 mathematician mathematician NN 39713 5081 11 is be VBZ 39713 5081 12 particularly particularly RB 39713 5081 13 instructive instructive JJ 39713 5081 14 for for IN 39713 5081 15 the the DT 39713 5081 16 psychologist psychologist NN 39713 5081 17 . . . 39713 5082 1 In in IN 39713 5082 2 all all PDT 39713 5082 3 the the DT 39713 5082 4 sciences science NNS 39713 5082 5 of of IN 39713 5082 6 observation observation NN 39713 5082 7 account account NN 39713 5082 8 must must MD 39713 5082 9 be be VB 39713 5082 10 taken take VBN 39713 5082 11 of of IN 39713 5082 12 the the DT 39713 5082 13 errors error NNS 39713 5082 14 due due IN 39713 5082 15 to to IN 39713 5082 16 the the DT 39713 5082 17 imperfections imperfection NNS 39713 5082 18 of of IN 39713 5082 19 our -PRON- PRP$ 39713 5082 20 senses sense NNS 39713 5082 21 and and CC 39713 5082 22 our -PRON- PRP$ 39713 5082 23 instruments instrument NNS 39713 5082 24 . . . 39713 5083 1 Luckily luckily RB 39713 5083 2 , , , 39713 5083 3 we -PRON- PRP 39713 5083 4 may may MD 39713 5083 5 assume assume VB 39713 5083 6 that that IN 39713 5083 7 , , , 39713 5083 8 under under IN 39713 5083 9 certain certain JJ 39713 5083 10 conditions condition NNS 39713 5083 11 , , , 39713 5083 12 these these DT 39713 5083 13 errors error NNS 39713 5083 14 are be VBP 39713 5083 15 in in IN 39713 5083 16 part part NN 39713 5083 17 self self NN 39713 5083 18 - - HYPH 39713 5083 19 compensating compensate VBG 39713 5083 20 , , , 39713 5083 21 so so IN 39713 5083 22 as as IN 39713 5083 23 to to TO 39713 5083 24 disappear disappear VB 39713 5083 25 in in IN 39713 5083 26 the the DT 39713 5083 27 average average NN 39713 5083 28 ; ; : 39713 5083 29 this this DT 39713 5083 30 compensation compensation NN 39713 5083 31 is be VBZ 39713 5083 32 due due JJ 39713 5083 33 to to IN 39713 5083 34 chance chance NN 39713 5083 35 . . . 39713 5084 1 But but CC 39713 5084 2 what what WP 39713 5084 3 is be VBZ 39713 5084 4 chance chance NN 39713 5084 5 ? ? . 39713 5085 1 This this DT 39713 5085 2 idea idea NN 39713 5085 3 is be VBZ 39713 5085 4 difficult difficult JJ 39713 5085 5 to to TO 39713 5085 6 justify justify VB 39713 5085 7 or or CC 39713 5085 8 even even RB 39713 5085 9 to to TO 39713 5085 10 define define VB 39713 5085 11 ; ; : 39713 5085 12 and and CC 39713 5085 13 yet yet RB 39713 5085 14 what what WP 39713 5085 15 I -PRON- PRP 39713 5085 16 have have VBP 39713 5085 17 just just RB 39713 5085 18 said say VBN 39713 5085 19 about about IN 39713 5085 20 the the DT 39713 5085 21 errors error NNS 39713 5085 22 of of IN 39713 5085 23 observation observation NN 39713 5085 24 , , , 39713 5085 25 shows show VBZ 39713 5085 26 that that IN 39713 5085 27 the the DT 39713 5085 28 scientist scientist NN 39713 5085 29 can can MD 39713 5085 30 not not RB 39713 5085 31 neglect neglect VB 39713 5085 32 it -PRON- PRP 39713 5085 33 . . . 39713 5086 1 It -PRON- PRP 39713 5086 2 therefore therefore RB 39713 5086 3 is be VBZ 39713 5086 4 necessary necessary JJ 39713 5086 5 to to TO 39713 5086 6 give give VB 39713 5086 7 a a DT 39713 5086 8 definition definition NN 39713 5086 9 as as RB 39713 5086 10 precise precise JJ 39713 5086 11 as as IN 39713 5086 12 possible possible JJ 39713 5086 13 of of IN 39713 5086 14 this this DT 39713 5086 15 concept concept NN 39713 5086 16 , , , 39713 5086 17 so so CC 39713 5086 18 indispensable indispensable JJ 39713 5086 19 yet yet CC 39713 5086 20 so so RB 39713 5086 21 illusive illusive JJ 39713 5086 22 . . . 39713 5087 1 These these DT 39713 5087 2 are be VBP 39713 5087 3 generalities generality NNS 39713 5087 4 applicable applicable JJ 39713 5087 5 in in IN 39713 5087 6 sum sum NN 39713 5087 7 to to IN 39713 5087 8 all all PDT 39713 5087 9 the the DT 39713 5087 10 sciences science NNS 39713 5087 11 ; ; : 39713 5087 12 and and CC 39713 5087 13 for for IN 39713 5087 14 example example NN 39713 5087 15 the the DT 39713 5087 16 mechanism mechanism NN 39713 5087 17 of of IN 39713 5087 18 mathematical mathematical JJ 39713 5087 19 invention invention NN 39713 5087 20 does do VBZ 39713 5087 21 not not RB 39713 5087 22 differ differ VB 39713 5087 23 sensibly sensibly RB 39713 5087 24 from from IN 39713 5087 25 the the DT 39713 5087 26 mechanism mechanism NN 39713 5087 27 of of IN 39713 5087 28 invention invention NN 39713 5087 29 in in IN 39713 5087 30 general general JJ 39713 5087 31 . . . 39713 5088 1 Later later RB 39713 5088 2 I -PRON- PRP 39713 5088 3 attack attack VBP 39713 5088 4 questions question NNS 39713 5088 5 relating relate VBG 39713 5088 6 more more RBR 39713 5088 7 particularly particularly RB 39713 5088 8 to to IN 39713 5088 9 certain certain JJ 39713 5088 10 special special JJ 39713 5088 11 sciences science NNS 39713 5088 12 and and CC 39713 5088 13 first first RB 39713 5088 14 to to IN 39713 5088 15 pure pure JJ 39713 5088 16 mathematics mathematic NNS 39713 5088 17 . . . 39713 5089 1 In in IN 39713 5089 2 the the DT 39713 5089 3 chapters chapter NNS 39713 5089 4 devoted devote VBN 39713 5089 5 to to IN 39713 5089 6 these these DT 39713 5089 7 , , , 39713 5089 8 I -PRON- PRP 39713 5089 9 have have VBP 39713 5089 10 to to TO 39713 5089 11 treat treat VB 39713 5089 12 subjects subject NNS 39713 5089 13 a a DT 39713 5089 14 little little RB 39713 5089 15 more more RBR 39713 5089 16 abstract abstract JJ 39713 5089 17 . . . 39713 5090 1 I -PRON- PRP 39713 5090 2 have have VBP 39713 5090 3 first first RB 39713 5090 4 to to TO 39713 5090 5 speak speak VB 39713 5090 6 of of IN 39713 5090 7 the the DT 39713 5090 8 notion notion NN 39713 5090 9 of of IN 39713 5090 10 space space NN 39713 5090 11 ; ; : 39713 5090 12 every every DT 39713 5090 13 one one NN 39713 5090 14 knows know VBZ 39713 5090 15 space space NN 39713 5090 16 is be VBZ 39713 5090 17 relative relative JJ 39713 5090 18 , , , 39713 5090 19 or or CC 39713 5090 20 rather rather RB 39713 5090 21 every every DT 39713 5090 22 one one NN 39713 5090 23 says say VBZ 39713 5090 24 so so RB 39713 5090 25 , , , 39713 5090 26 but but CC 39713 5090 27 many many JJ 39713 5090 28 think think VBP 39713 5090 29 still still RB 39713 5090 30 as as IN 39713 5090 31 if if IN 39713 5090 32 they -PRON- PRP 39713 5090 33 believed believe VBD 39713 5090 34 it -PRON- PRP 39713 5090 35 absolute absolute JJ 39713 5090 36 ; ; : 39713 5090 37 it -PRON- PRP 39713 5090 38 suffices suffice VBZ 39713 5090 39 to to TO 39713 5090 40 reflect reflect VB 39713 5090 41 a a DT 39713 5090 42 little little JJ 39713 5090 43 however however RB 39713 5090 44 to to TO 39713 5090 45 perceive perceive VB 39713 5090 46 to to IN 39713 5090 47 what what WP 39713 5090 48 contradictions contradiction NNS 39713 5090 49 they -PRON- PRP 39713 5090 50 are be VBP 39713 5090 51 exposed expose VBN 39713 5090 52 . . . 39713 5091 1 The the DT 39713 5091 2 questions question NNS 39713 5091 3 of of IN 39713 5091 4 teaching teaching NN 39713 5091 5 have have VBP 39713 5091 6 their -PRON- PRP$ 39713 5091 7 importance importance NN 39713 5091 8 , , , 39713 5091 9 first first RB 39713 5091 10 in in IN 39713 5091 11 themselves -PRON- PRP 39713 5091 12 , , , 39713 5091 13 then then RB 39713 5091 14 because because IN 39713 5091 15 reflecting reflect VBG 39713 5091 16 on on IN 39713 5091 17 the the DT 39713 5091 18 best good JJS 39713 5091 19 way way NN 39713 5091 20 to to TO 39713 5091 21 make make VB 39713 5091 22 new new JJ 39713 5091 23 ideas idea NNS 39713 5091 24 penetrate penetrate VB 39713 5091 25 virgin virgin JJ 39713 5091 26 minds mind NNS 39713 5091 27 is be VBZ 39713 5091 28 at at IN 39713 5091 29 the the DT 39713 5091 30 same same JJ 39713 5091 31 time time NN 39713 5091 32 reflecting reflect VBG 39713 5091 33 on on IN 39713 5091 34 how how WRB 39713 5091 35 these these DT 39713 5091 36 notions notion NNS 39713 5091 37 were be VBD 39713 5091 38 acquired acquire VBN 39713 5091 39 by by IN 39713 5091 40 our -PRON- PRP$ 39713 5091 41 ancestors ancestor NNS 39713 5091 42 , , , 39713 5091 43 and and CC 39713 5091 44 consequently consequently RB 39713 5091 45 on on IN 39713 5091 46 their -PRON- PRP$ 39713 5091 47 true true JJ 39713 5091 48 origin origin NN 39713 5091 49 , , , 39713 5091 50 that that DT 39713 5091 51 is be VBZ 39713 5091 52 to to TO 39713 5091 53 say say VB 39713 5091 54 , , , 39713 5091 55 in in IN 39713 5091 56 reality reality NN 39713 5091 57 on on IN 39713 5091 58 their -PRON- PRP$ 39713 5091 59 true true JJ 39713 5091 60 nature nature NN 39713 5091 61 . . . 39713 5092 1 Why why WRB 39713 5092 2 do do VBP 39713 5092 3 children child NNS 39713 5092 4 usually usually RB 39713 5092 5 understand understand VB 39713 5092 6 nothing nothing NN 39713 5092 7 of of IN 39713 5092 8 the the DT 39713 5092 9 definitions definition NNS 39713 5092 10 which which WDT 39713 5092 11 satisfy satisfy VBP 39713 5092 12 scientists scientist NNS 39713 5092 13 ? ? . 39713 5093 1 Why why WRB 39713 5093 2 is be VBZ 39713 5093 3 it -PRON- PRP 39713 5093 4 necessary necessary JJ 39713 5093 5 to to TO 39713 5093 6 give give VB 39713 5093 7 them -PRON- PRP 39713 5093 8 others other NNS 39713 5093 9 ? ? . 39713 5094 1 This this DT 39713 5094 2 is be VBZ 39713 5094 3 the the DT 39713 5094 4 question question NN 39713 5094 5 I -PRON- PRP 39713 5094 6 set set VBD 39713 5094 7 myself -PRON- PRP 39713 5094 8 in in IN 39713 5094 9 the the DT 39713 5094 10 succeeding succeed VBG 39713 5094 11 chapter chapter NN 39713 5094 12 and and CC 39713 5094 13 whose whose WP$ 39713 5094 14 solution solution NN 39713 5094 15 should should MD 39713 5094 16 , , , 39713 5094 17 I -PRON- PRP 39713 5094 18 think think VBP 39713 5094 19 , , , 39713 5094 20 suggest suggest VBP 39713 5094 21 useful useful JJ 39713 5094 22 reflections reflection NNS 39713 5094 23 to to IN 39713 5094 24 the the DT 39713 5094 25 philosophers philosopher NNS 39713 5094 26 occupied occupy VBN 39713 5094 27 with with IN 39713 5094 28 the the DT 39713 5094 29 logic logic NN 39713 5094 30 of of IN 39713 5094 31 the the DT 39713 5094 32 sciences science NNS 39713 5094 33 . . . 39713 5095 1 On on IN 39713 5095 2 the the DT 39713 5095 3 other other JJ 39713 5095 4 hand hand NN 39713 5095 5 , , , 39713 5095 6 many many JJ 39713 5095 7 geometers geometer NNS 39713 5095 8 believe believe VBP 39713 5095 9 we -PRON- PRP 39713 5095 10 can can MD 39713 5095 11 reduce reduce VB 39713 5095 12 mathematics mathematic NNS 39713 5095 13 to to IN 39713 5095 14 the the DT 39713 5095 15 rules rule NNS 39713 5095 16 of of IN 39713 5095 17 formal formal JJ 39713 5095 18 logic logic NN 39713 5095 19 . . . 39713 5096 1 Unheard unheard JJ 39713 5096 2 - - HYPH 39713 5096 3 of of IN 39713 5096 4 efforts effort NNS 39713 5096 5 have have VBP 39713 5096 6 been be VBN 39713 5096 7 made make VBN 39713 5096 8 to to TO 39713 5096 9 do do VB 39713 5096 10 this this DT 39713 5096 11 ; ; : 39713 5096 12 to to TO 39713 5096 13 accomplish accomplish VB 39713 5096 14 it -PRON- PRP 39713 5096 15 , , , 39713 5096 16 some some DT 39713 5096 17 have have VBP 39713 5096 18 not not RB 39713 5096 19 hesitated hesitate VBN 39713 5096 20 , , , 39713 5096 21 for for IN 39713 5096 22 example example NN 39713 5096 23 , , , 39713 5096 24 to to TO 39713 5096 25 reverse reverse VB 39713 5096 26 the the DT 39713 5096 27 historic historic JJ 39713 5096 28 order order NN 39713 5096 29 of of IN 39713 5096 30 the the DT 39713 5096 31 genesis genesis NN 39713 5096 32 of of IN 39713 5096 33 our -PRON- PRP$ 39713 5096 34 conceptions conception NNS 39713 5096 35 and and CC 39713 5096 36 to to TO 39713 5096 37 try try VB 39713 5096 38 to to TO 39713 5096 39 explain explain VB 39713 5096 40 the the DT 39713 5096 41 finite finite NN 39713 5096 42 by by IN 39713 5096 43 the the DT 39713 5096 44 infinite infinite NN 39713 5096 45 . . . 39713 5097 1 I -PRON- PRP 39713 5097 2 believe believe VBP 39713 5097 3 I -PRON- PRP 39713 5097 4 have have VBP 39713 5097 5 succeeded succeed VBN 39713 5097 6 in in IN 39713 5097 7 showing showing NN 39713 5097 8 , , , 39713 5097 9 for for IN 39713 5097 10 all all PDT 39713 5097 11 those those DT 39713 5097 12 who who WP 39713 5097 13 attack attack VBP 39713 5097 14 the the DT 39713 5097 15 problem problem NN 39713 5097 16 unprejudiced unprejudiced JJ 39713 5097 17 , , , 39713 5097 18 that that IN 39713 5097 19 here here RB 39713 5097 20 there there EX 39713 5097 21 is be VBZ 39713 5097 22 a a DT 39713 5097 23 fallacious fallacious JJ 39713 5097 24 illusion illusion NN 39713 5097 25 . . . 39713 5098 1 I -PRON- PRP 39713 5098 2 hope hope VBP 39713 5098 3 the the DT 39713 5098 4 reader reader NN 39713 5098 5 will will MD 39713 5098 6 understand understand VB 39713 5098 7 the the DT 39713 5098 8 importance importance NN 39713 5098 9 of of IN 39713 5098 10 the the DT 39713 5098 11 question question NN 39713 5098 12 and and CC 39713 5098 13 pardon pardon VB 39713 5098 14 me -PRON- PRP 39713 5098 15 the the DT 39713 5098 16 aridity aridity NN 39713 5098 17 of of IN 39713 5098 18 the the DT 39713 5098 19 pages page NNS 39713 5098 20 devoted devote VBN 39713 5098 21 to to IN 39713 5098 22 it -PRON- PRP 39713 5098 23 . . . 39713 5099 1 The the DT 39713 5099 2 concluding concluding NN 39713 5099 3 chapters chapter NNS 39713 5099 4 relative relative JJ 39713 5099 5 to to IN 39713 5099 6 mechanics mechanic NNS 39713 5099 7 and and CC 39713 5099 8 astronomy astronomy NN 39713 5099 9 will will MD 39713 5099 10 be be VB 39713 5099 11 easier easy JJR 39713 5099 12 to to TO 39713 5099 13 read read VB 39713 5099 14 . . . 39713 5100 1 Mechanics mechanic NNS 39713 5100 2 seems seem VBZ 39713 5100 3 on on IN 39713 5100 4 the the DT 39713 5100 5 point point NN 39713 5100 6 of of IN 39713 5100 7 undergoing undergo VBG 39713 5100 8 a a DT 39713 5100 9 complete complete JJ 39713 5100 10 revolution revolution NN 39713 5100 11 . . . 39713 5101 1 Ideas idea NNS 39713 5101 2 which which WDT 39713 5101 3 appeared appear VBD 39713 5101 4 best well RBS 39713 5101 5 established establish VBN 39713 5101 6 are be VBP 39713 5101 7 assailed assail VBN 39713 5101 8 by by IN 39713 5101 9 bold bold JJ 39713 5101 10 innovators innovator NNS 39713 5101 11 . . . 39713 5102 1 Certainly certainly RB 39713 5102 2 it -PRON- PRP 39713 5102 3 would would MD 39713 5102 4 be be VB 39713 5102 5 premature premature JJ 39713 5102 6 to to TO 39713 5102 7 decide decide VB 39713 5102 8 in in IN 39713 5102 9 their -PRON- PRP$ 39713 5102 10 favor favor NN 39713 5102 11 at at IN 39713 5102 12 once once RB 39713 5102 13 simply simply RB 39713 5102 14 because because IN 39713 5102 15 they -PRON- PRP 39713 5102 16 are be VBP 39713 5102 17 innovators innovator NNS 39713 5102 18 . . . 39713 5103 1 But but CC 39713 5103 2 it -PRON- PRP 39713 5103 3 is be VBZ 39713 5103 4 of of IN 39713 5103 5 interest interest NN 39713 5103 6 to to TO 39713 5103 7 make make VB 39713 5103 8 known known JJ 39713 5103 9 their -PRON- PRP$ 39713 5103 10 doctrines doctrine NNS 39713 5103 11 , , , 39713 5103 12 and and CC 39713 5103 13 this this DT 39713 5103 14 is be VBZ 39713 5103 15 what what WP 39713 5103 16 I -PRON- PRP 39713 5103 17 have have VBP 39713 5103 18 tried try VBN 39713 5103 19 to to TO 39713 5103 20 do do VB 39713 5103 21 . . . 39713 5104 1 As as RB 39713 5104 2 far far RB 39713 5104 3 as as IN 39713 5104 4 possible possible JJ 39713 5104 5 I -PRON- PRP 39713 5104 6 have have VBP 39713 5104 7 followed follow VBN 39713 5104 8 the the DT 39713 5104 9 historic historic JJ 39713 5104 10 order order NN 39713 5104 11 ; ; : 39713 5104 12 for for IN 39713 5104 13 the the DT 39713 5104 14 new new JJ 39713 5104 15 ideas idea NNS 39713 5104 16 would would MD 39713 5104 17 seem seem VB 39713 5104 18 too too RB 39713 5104 19 astonishing astonishing JJ 39713 5104 20 unless unless IN 39713 5104 21 we -PRON- PRP 39713 5104 22 saw see VBD 39713 5104 23 how how WRB 39713 5104 24 they -PRON- PRP 39713 5104 25 arose arise VBD 39713 5104 26 . . . 39713 5105 1 Astronomy Astronomy NNP 39713 5105 2 offers offer VBZ 39713 5105 3 us -PRON- PRP 39713 5105 4 majestic majestic JJ 39713 5105 5 spectacles spectacle NNS 39713 5105 6 and and CC 39713 5105 7 raises raise VBZ 39713 5105 8 gigantic gigantic JJ 39713 5105 9 problems problem NNS 39713 5105 10 . . . 39713 5106 1 We -PRON- PRP 39713 5106 2 can can MD 39713 5106 3 not not RB 39713 5106 4 dream dream VB 39713 5106 5 of of IN 39713 5106 6 applying apply VBG 39713 5106 7 to to IN 39713 5106 8 them -PRON- PRP 39713 5106 9 directly directly RB 39713 5106 10 the the DT 39713 5106 11 experimental experimental JJ 39713 5106 12 method method NN 39713 5106 13 ; ; : 39713 5106 14 our -PRON- PRP$ 39713 5106 15 laboratories laboratory NNS 39713 5106 16 are be VBP 39713 5106 17 too too RB 39713 5106 18 small small JJ 39713 5106 19 . . . 39713 5107 1 But but CC 39713 5107 2 analogy analogy NN 39713 5107 3 with with IN 39713 5107 4 phenomena phenomenon NNS 39713 5107 5 these these DT 39713 5107 6 laboratories laboratory NNS 39713 5107 7 permit permit VBP 39713 5107 8 us -PRON- PRP 39713 5107 9 to to TO 39713 5107 10 attain attain VB 39713 5107 11 may may MD 39713 5107 12 nevertheless nevertheless RB 39713 5107 13 guide guide VB 39713 5107 14 the the DT 39713 5107 15 astronomer astronomer NN 39713 5107 16 . . . 39713 5108 1 The the DT 39713 5108 2 Milky Milky NNP 39713 5108 3 Way Way NNP 39713 5108 4 , , , 39713 5108 5 for for IN 39713 5108 6 example example NN 39713 5108 7 , , , 39713 5108 8 is be VBZ 39713 5108 9 an an DT 39713 5108 10 assemblage assemblage NN 39713 5108 11 of of IN 39713 5108 12 suns sun NNS 39713 5108 13 whose whose WP$ 39713 5108 14 movements movement NNS 39713 5108 15 seem seem VBP 39713 5108 16 at at IN 39713 5108 17 first first RB 39713 5108 18 capricious capricious JJ 39713 5108 19 . . . 39713 5109 1 But but CC 39713 5109 2 may may MD 39713 5109 3 not not RB 39713 5109 4 this this DT 39713 5109 5 assemblage assemblage NN 39713 5109 6 be be VB 39713 5109 7 compared compare VBN 39713 5109 8 to to IN 39713 5109 9 that that DT 39713 5109 10 of of IN 39713 5109 11 the the DT 39713 5109 12 molecules molecule NNS 39713 5109 13 of of IN 39713 5109 14 a a DT 39713 5109 15 gas gas NN 39713 5109 16 , , , 39713 5109 17 whose whose WP$ 39713 5109 18 properties property NNS 39713 5109 19 the the DT 39713 5109 20 kinetic kinetic JJ 39713 5109 21 theory theory NN 39713 5109 22 of of IN 39713 5109 23 gases gas NNS 39713 5109 24 has have VBZ 39713 5109 25 made make VBN 39713 5109 26 known known JJ 39713 5109 27 to to IN 39713 5109 28 us -PRON- PRP 39713 5109 29 ? ? . 39713 5110 1 It -PRON- PRP 39713 5110 2 is be VBZ 39713 5110 3 thus thus RB 39713 5110 4 by by IN 39713 5110 5 a a DT 39713 5110 6 roundabout roundabout NN 39713 5110 7 way way NN 39713 5110 8 that that WDT 39713 5110 9 the the DT 39713 5110 10 method method NN 39713 5110 11 of of IN 39713 5110 12 the the DT 39713 5110 13 physicist physicist NN 39713 5110 14 may may MD 39713 5110 15 come come VB 39713 5110 16 to to IN 39713 5110 17 the the DT 39713 5110 18 aid aid NN 39713 5110 19 of of IN 39713 5110 20 the the DT 39713 5110 21 astronomer astronomer NN 39713 5110 22 . . . 39713 5111 1 Finally finally RB 39713 5111 2 I -PRON- PRP 39713 5111 3 have have VBP 39713 5111 4 endeavored endeavor VBN 39713 5111 5 to to TO 39713 5111 6 give give VB 39713 5111 7 in in IN 39713 5111 8 a a DT 39713 5111 9 few few JJ 39713 5111 10 lines line NNS 39713 5111 11 the the DT 39713 5111 12 history history NN 39713 5111 13 of of IN 39713 5111 14 the the DT 39713 5111 15 development development NN 39713 5111 16 of of IN 39713 5111 17 French french JJ 39713 5111 18 geodesy geodesy NN 39713 5111 19 ; ; : 39713 5111 20 I -PRON- PRP 39713 5111 21 have have VBP 39713 5111 22 shown show VBN 39713 5111 23 through through IN 39713 5111 24 what what WP 39713 5111 25 persevering persevere VBG 39713 5111 26 efforts effort NNS 39713 5111 27 , , , 39713 5111 28 and and CC 39713 5111 29 often often RB 39713 5111 30 what what WDT 39713 5111 31 dangers danger NNS 39713 5111 32 , , , 39713 5111 33 the the DT 39713 5111 34 geodesists geodesist NNS 39713 5111 35 have have VBP 39713 5111 36 procured procure VBN 39713 5111 37 for for IN 39713 5111 38 us -PRON- PRP 39713 5111 39 the the DT 39713 5111 40 knowledge knowledge NN 39713 5111 41 we -PRON- PRP 39713 5111 42 have have VBP 39713 5111 43 of of IN 39713 5111 44 the the DT 39713 5111 45 figure figure NN 39713 5111 46 of of IN 39713 5111 47 the the DT 39713 5111 48 earth earth NN 39713 5111 49 . . . 39713 5112 1 Is be VBZ 39713 5112 2 this this DT 39713 5112 3 then then RB 39713 5112 4 a a DT 39713 5112 5 question question NN 39713 5112 6 of of IN 39713 5112 7 method method NN 39713 5112 8 ? ? . 39713 5113 1 Yes yes UH 39713 5113 2 , , , 39713 5113 3 without without IN 39713 5113 4 doubt doubt NN 39713 5113 5 , , , 39713 5113 6 this this DT 39713 5113 7 history history NN 39713 5113 8 teaches teach VBZ 39713 5113 9 us -PRON- PRP 39713 5113 10 in in IN 39713 5113 11 fact fact NN 39713 5113 12 by by IN 39713 5113 13 what what WDT 39713 5113 14 precautions precaution NNS 39713 5113 15 it -PRON- PRP 39713 5113 16 is be VBZ 39713 5113 17 necessary necessary JJ 39713 5113 18 to to TO 39713 5113 19 surround surround VB 39713 5113 20 a a DT 39713 5113 21 serious serious JJ 39713 5113 22 scientific scientific JJ 39713 5113 23 operation operation NN 39713 5113 24 and and CC 39713 5113 25 how how WRB 39713 5113 26 much much JJ 39713 5113 27 time time NN 39713 5113 28 and and CC 39713 5113 29 pains pain VBZ 39713 5113 30 it -PRON- PRP 39713 5113 31 costs cost VBZ 39713 5113 32 to to TO 39713 5113 33 conquer conquer VB 39713 5113 34 one one CD 39713 5113 35 new new JJ 39713 5113 36 decimal decimal NN 39713 5113 37 . . . 39713 5114 1 BOOK BOOK NNP 39713 5114 2 I -PRON- PRP 39713 5114 3 SCIENCE science VBP 39713 5114 4 AND and CC 39713 5114 5 THE the DT 39713 5114 6 SCIENTIST SCIENTIST NNP 39713 5114 7 CHAPTER CHAPTER NNP 39713 5114 8 I -PRON- PRP 39713 5114 9 THE the DT 39713 5114 10 CHOICE choice NN 39713 5114 11 OF of IN 39713 5114 12 FACTS FACTS NNP 39713 5114 13 Tolstoi Tolstoi NNP 39713 5114 14 somewhere somewhere RB 39713 5114 15 explains explain VBZ 39713 5114 16 why why WRB 39713 5114 17 ' ' '' 39713 5114 18 science science NN 39713 5114 19 for for IN 39713 5114 20 its -PRON- PRP$ 39713 5114 21 own own JJ 39713 5114 22 sake sake NN 39713 5114 23 ' ' '' 39713 5114 24 is be VBZ 39713 5114 25 in in IN 39713 5114 26 his -PRON- PRP$ 39713 5114 27 eyes eye NNS 39713 5114 28 an an DT 39713 5114 29 absurd absurd JJ 39713 5114 30 conception conception NN 39713 5114 31 . . . 39713 5115 1 We -PRON- PRP 39713 5115 2 can can MD 39713 5115 3 not not RB 39713 5115 4 know know VB 39713 5115 5 _ _ NNP 39713 5115 6 all all DT 39713 5115 7 _ _ NNP 39713 5115 8 facts fact NNS 39713 5115 9 , , , 39713 5115 10 since since IN 39713 5115 11 their -PRON- PRP$ 39713 5115 12 number number NN 39713 5115 13 is be VBZ 39713 5115 14 practically practically RB 39713 5115 15 infinite infinite JJ 39713 5115 16 . . . 39713 5116 1 It -PRON- PRP 39713 5116 2 is be VBZ 39713 5116 3 necessary necessary JJ 39713 5116 4 to to TO 39713 5116 5 choose choose VB 39713 5116 6 ; ; : 39713 5116 7 then then RB 39713 5116 8 we -PRON- PRP 39713 5116 9 may may MD 39713 5116 10 let let VB 39713 5116 11 this this DT 39713 5116 12 choice choice NN 39713 5116 13 depend depend VB 39713 5116 14 on on IN 39713 5116 15 the the DT 39713 5116 16 pure pure JJ 39713 5116 17 caprice caprice NN 39713 5116 18 of of IN 39713 5116 19 our -PRON- PRP$ 39713 5116 20 curiosity curiosity NN 39713 5116 21 ; ; : 39713 5116 22 would would MD 39713 5116 23 it -PRON- PRP 39713 5116 24 not not RB 39713 5116 25 be be VB 39713 5116 26 better well JJR 39713 5116 27 to to TO 39713 5116 28 let let VB 39713 5116 29 ourselves -PRON- PRP 39713 5116 30 be be VB 39713 5116 31 guided guide VBN 39713 5116 32 by by IN 39713 5116 33 utility utility NN 39713 5116 34 , , , 39713 5116 35 by by IN 39713 5116 36 our -PRON- PRP$ 39713 5116 37 practical practical JJ 39713 5116 38 and and CC 39713 5116 39 above above IN 39713 5116 40 all all DT 39713 5116 41 by by IN 39713 5116 42 our -PRON- PRP$ 39713 5116 43 moral moral JJ 39713 5116 44 needs need NNS 39713 5116 45 ; ; : 39713 5116 46 have have VBP 39713 5116 47 we -PRON- PRP 39713 5116 48 nothing nothing NN 39713 5116 49 better well JJR 39713 5116 50 to to TO 39713 5116 51 do do VB 39713 5116 52 than than IN 39713 5116 53 to to TO 39713 5116 54 count count VB 39713 5116 55 the the DT 39713 5116 56 number number NN 39713 5116 57 of of IN 39713 5116 58 lady lady NN 39713 5116 59 - - HYPH 39713 5116 60 bugs bug NNS 39713 5116 61 on on IN 39713 5116 62 our -PRON- PRP$ 39713 5116 63 planet planet NN 39713 5116 64 ? ? . 39713 5117 1 It -PRON- PRP 39713 5117 2 is be VBZ 39713 5117 3 clear clear JJ 39713 5117 4 the the DT 39713 5117 5 word word NN 39713 5117 6 utility utility NN 39713 5117 7 has have VBZ 39713 5117 8 not not RB 39713 5117 9 for for IN 39713 5117 10 him -PRON- PRP 39713 5117 11 the the DT 39713 5117 12 sense sense NN 39713 5117 13 men man NNS 39713 5117 14 of of IN 39713 5117 15 affairs affair NNS 39713 5117 16 give give VBP 39713 5117 17 it -PRON- PRP 39713 5117 18 , , , 39713 5117 19 and and CC 39713 5117 20 following follow VBG 39713 5117 21 them -PRON- PRP 39713 5117 22 most most JJS 39713 5117 23 of of IN 39713 5117 24 our -PRON- PRP$ 39713 5117 25 contemporaries contemporary NNS 39713 5117 26 . . . 39713 5118 1 Little little JJ 39713 5118 2 cares care VBZ 39713 5118 3 he -PRON- PRP 39713 5118 4 for for IN 39713 5118 5 industrial industrial JJ 39713 5118 6 applications application NNS 39713 5118 7 , , , 39713 5118 8 for for IN 39713 5118 9 the the DT 39713 5118 10 marvels marvel NNS 39713 5118 11 of of IN 39713 5118 12 electricity electricity NN 39713 5118 13 or or CC 39713 5118 14 of of IN 39713 5118 15 automobilism automobilism NN 39713 5118 16 , , , 39713 5118 17 which which WDT 39713 5118 18 he -PRON- PRP 39713 5118 19 regards regard VBZ 39713 5118 20 rather rather RB 39713 5118 21 as as IN 39713 5118 22 obstacles obstacle NNS 39713 5118 23 to to IN 39713 5118 24 moral moral JJ 39713 5118 25 progress progress NN 39713 5118 26 ; ; : 39713 5118 27 utility utility NN 39713 5118 28 for for IN 39713 5118 29 him -PRON- PRP 39713 5118 30 is be VBZ 39713 5118 31 solely solely RB 39713 5118 32 what what WP 39713 5118 33 can can MD 39713 5118 34 make make VB 39713 5118 35 man man NN 39713 5118 36 better well RBR 39713 5118 37 . . . 39713 5119 1 For for IN 39713 5119 2 my -PRON- PRP$ 39713 5119 3 part part NN 39713 5119 4 , , , 39713 5119 5 it -PRON- PRP 39713 5119 6 need nee MD 39713 5119 7 scarce scarce JJ 39713 5119 8 be be VB 39713 5119 9 said say VBN 39713 5119 10 , , , 39713 5119 11 I -PRON- PRP 39713 5119 12 could could MD 39713 5119 13 never never RB 39713 5119 14 be be VB 39713 5119 15 content content JJ 39713 5119 16 with with IN 39713 5119 17 either either CC 39713 5119 18 the the DT 39713 5119 19 one one CD 39713 5119 20 or or CC 39713 5119 21 the the DT 39713 5119 22 other other JJ 39713 5119 23 ideal ideal NN 39713 5119 24 ; ; : 39713 5119 25 I -PRON- PRP 39713 5119 26 want want VBP 39713 5119 27 neither neither CC 39713 5119 28 that that IN 39713 5119 29 plutocracy plutocracy JJ 39713 5119 30 grasping grasping NN 39713 5119 31 and and CC 39713 5119 32 mean mean NN 39713 5119 33 , , , 39713 5119 34 nor nor CC 39713 5119 35 that that IN 39713 5119 36 democracy democracy NN 39713 5119 37 goody goody NN 39713 5119 38 and and CC 39713 5119 39 mediocre mediocre NNP 39713 5119 40 , , , 39713 5119 41 occupied occupy VBN 39713 5119 42 solely solely RB 39713 5119 43 in in IN 39713 5119 44 turning turn VBG 39713 5119 45 the the DT 39713 5119 46 other other JJ 39713 5119 47 cheek cheek NN 39713 5119 48 , , , 39713 5119 49 where where WRB 39713 5119 50 would would MD 39713 5119 51 dwell dwell VB 39713 5119 52 sages sage NNS 39713 5119 53 without without IN 39713 5119 54 curiosity curiosity NN 39713 5119 55 , , , 39713 5119 56 who who WP 39713 5119 57 , , , 39713 5119 58 shunning shun VBG 39713 5119 59 excess excess NN 39713 5119 60 , , , 39713 5119 61 would would MD 39713 5119 62 not not RB 39713 5119 63 die die VB 39713 5119 64 of of IN 39713 5119 65 disease disease NN 39713 5119 66 , , , 39713 5119 67 but but CC 39713 5119 68 would would MD 39713 5119 69 surely surely RB 39713 5119 70 die die VB 39713 5119 71 of of IN 39713 5119 72 ennui ennui NN 39713 5119 73 . . . 39713 5120 1 But but CC 39713 5120 2 that that DT 39713 5120 3 is be VBZ 39713 5120 4 a a DT 39713 5120 5 matter matter NN 39713 5120 6 of of IN 39713 5120 7 taste taste NN 39713 5120 8 and and CC 39713 5120 9 is be VBZ 39713 5120 10 not not RB 39713 5120 11 what what WP 39713 5120 12 I -PRON- PRP 39713 5120 13 wish wish VBP 39713 5120 14 to to TO 39713 5120 15 discuss discuss VB 39713 5120 16 . . . 39713 5121 1 The the DT 39713 5121 2 question question NN 39713 5121 3 nevertheless nevertheless RB 39713 5121 4 remains remain VBZ 39713 5121 5 and and CC 39713 5121 6 should should MD 39713 5121 7 fix fix VB 39713 5121 8 our -PRON- PRP$ 39713 5121 9 attention attention NN 39713 5121 10 ; ; : 39713 5121 11 if if IN 39713 5121 12 our -PRON- PRP$ 39713 5121 13 choice choice NN 39713 5121 14 can can MD 39713 5121 15 only only RB 39713 5121 16 be be VB 39713 5121 17 determined determine VBN 39713 5121 18 by by IN 39713 5121 19 caprice caprice NN 39713 5121 20 or or CC 39713 5121 21 by by IN 39713 5121 22 immediate immediate JJ 39713 5121 23 utility utility NN 39713 5121 24 , , , 39713 5121 25 there there EX 39713 5121 26 can can MD 39713 5121 27 be be VB 39713 5121 28 no no DT 39713 5121 29 science science NN 39713 5121 30 for for IN 39713 5121 31 its -PRON- PRP$ 39713 5121 32 own own JJ 39713 5121 33 sake sake NN 39713 5121 34 , , , 39713 5121 35 and and CC 39713 5121 36 consequently consequently RB 39713 5121 37 no no DT 39713 5121 38 science science NN 39713 5121 39 . . . 39713 5122 1 But but CC 39713 5122 2 is be VBZ 39713 5122 3 that that DT 39713 5122 4 true true JJ 39713 5122 5 ? ? . 39713 5123 1 That that IN 39713 5123 2 a a DT 39713 5123 3 choice choice NN 39713 5123 4 must must MD 39713 5123 5 be be VB 39713 5123 6 made make VBN 39713 5123 7 is be VBZ 39713 5123 8 incontestable incontestable JJ 39713 5123 9 ; ; : 39713 5123 10 whatever whatever WDT 39713 5123 11 be be VB 39713 5123 12 our -PRON- PRP$ 39713 5123 13 activity activity NN 39713 5123 14 , , , 39713 5123 15 facts fact NNS 39713 5123 16 go go VBP 39713 5123 17 quicker quick JJR 39713 5123 18 than than IN 39713 5123 19 we -PRON- PRP 39713 5123 20 , , , 39713 5123 21 and and CC 39713 5123 22 we -PRON- PRP 39713 5123 23 can can MD 39713 5123 24 not not RB 39713 5123 25 catch catch VB 39713 5123 26 them -PRON- PRP 39713 5123 27 ; ; : 39713 5123 28 while while IN 39713 5123 29 the the DT 39713 5123 30 scientist scientist NN 39713 5123 31 discovers discover VBZ 39713 5123 32 one one CD 39713 5123 33 fact fact NN 39713 5123 34 , , , 39713 5123 35 there there EX 39713 5123 36 happen happen VB 39713 5123 37 milliards milliard NNS 39713 5123 38 of of IN 39713 5123 39 milliards milliard NNS 39713 5123 40 in in IN 39713 5123 41 a a DT 39713 5123 42 cubic cubic JJ 39713 5123 43 millimeter millimeter NN 39713 5123 44 of of IN 39713 5123 45 his -PRON- PRP$ 39713 5123 46 body body NN 39713 5123 47 . . . 39713 5124 1 To to TO 39713 5124 2 wish wish VB 39713 5124 3 to to TO 39713 5124 4 comprise comprise VB 39713 5124 5 nature nature NN 39713 5124 6 in in IN 39713 5124 7 science science NN 39713 5124 8 would would MD 39713 5124 9 be be VB 39713 5124 10 to to TO 39713 5124 11 want want VB 39713 5124 12 to to TO 39713 5124 13 put put VB 39713 5124 14 the the DT 39713 5124 15 whole whole NN 39713 5124 16 into into IN 39713 5124 17 the the DT 39713 5124 18 part part NN 39713 5124 19 . . . 39713 5125 1 But but CC 39713 5125 2 scientists scientist NNS 39713 5125 3 believe believe VBP 39713 5125 4 there there EX 39713 5125 5 is be VBZ 39713 5125 6 a a DT 39713 5125 7 hierarchy hierarchy NN 39713 5125 8 of of IN 39713 5125 9 facts fact NNS 39713 5125 10 and and CC 39713 5125 11 that that IN 39713 5125 12 among among IN 39713 5125 13 them -PRON- PRP 39713 5125 14 may may MD 39713 5125 15 be be VB 39713 5125 16 made make VBN 39713 5125 17 a a DT 39713 5125 18 judicious judicious JJ 39713 5125 19 choice choice NN 39713 5125 20 . . . 39713 5126 1 They -PRON- PRP 39713 5126 2 are be VBP 39713 5126 3 right right JJ 39713 5126 4 , , , 39713 5126 5 since since IN 39713 5126 6 otherwise otherwise RB 39713 5126 7 there there EX 39713 5126 8 would would MD 39713 5126 9 be be VB 39713 5126 10 no no DT 39713 5126 11 science science NN 39713 5126 12 , , , 39713 5126 13 yet yet CC 39713 5126 14 science science NN 39713 5126 15 exists exist VBZ 39713 5126 16 . . . 39713 5127 1 One one CD 39713 5127 2 need nee MD 39713 5127 3 only only RB 39713 5127 4 open open VB 39713 5127 5 the the DT 39713 5127 6 eyes eye NNS 39713 5127 7 to to TO 39713 5127 8 see see VB 39713 5127 9 that that IN 39713 5127 10 the the DT 39713 5127 11 conquests conquest NNS 39713 5127 12 of of IN 39713 5127 13 industry industry NN 39713 5127 14 which which WDT 39713 5127 15 have have VBP 39713 5127 16 enriched enrich VBN 39713 5127 17 so so RB 39713 5127 18 many many JJ 39713 5127 19 practical practical JJ 39713 5127 20 men man NNS 39713 5127 21 would would MD 39713 5127 22 never never RB 39713 5127 23 have have VB 39713 5127 24 seen see VBN 39713 5127 25 the the DT 39713 5127 26 light light NN 39713 5127 27 , , , 39713 5127 28 if if IN 39713 5127 29 these these DT 39713 5127 30 practical practical JJ 39713 5127 31 men man NNS 39713 5127 32 alone alone RB 39713 5127 33 had have VBD 39713 5127 34 existed exist VBN 39713 5127 35 and and CC 39713 5127 36 if if IN 39713 5127 37 they -PRON- PRP 39713 5127 38 had have VBD 39713 5127 39 not not RB 39713 5127 40 been be VBN 39713 5127 41 preceded precede VBN 39713 5127 42 by by IN 39713 5127 43 unselfish unselfish JJ 39713 5127 44 devotees devotee NNS 39713 5127 45 who who WP 39713 5127 46 died die VBD 39713 5127 47 poor poor JJ 39713 5127 48 , , , 39713 5127 49 who who WP 39713 5127 50 never never RB 39713 5127 51 thought think VBD 39713 5127 52 of of IN 39713 5127 53 utility utility NN 39713 5127 54 , , , 39713 5127 55 and and CC 39713 5127 56 yet yet RB 39713 5127 57 had have VBD 39713 5127 58 a a DT 39713 5127 59 guide guide NN 39713 5127 60 far far RB 39713 5127 61 other other JJ 39713 5127 62 than than IN 39713 5127 63 caprice caprice NN 39713 5127 64 . . . 39713 5128 1 As as IN 39713 5128 2 Mach Mach NNP 39713 5128 3 says say VBZ 39713 5128 4 , , , 39713 5128 5 these these DT 39713 5128 6 devotees devotee NNS 39713 5128 7 have have VBP 39713 5128 8 spared spare VBN 39713 5128 9 their -PRON- PRP$ 39713 5128 10 successors successor NNS 39713 5128 11 the the DT 39713 5128 12 trouble trouble NN 39713 5128 13 of of IN 39713 5128 14 thinking thinking NN 39713 5128 15 . . . 39713 5129 1 Those those DT 39713 5129 2 who who WP 39713 5129 3 might may MD 39713 5129 4 have have VB 39713 5129 5 worked work VBN 39713 5129 6 solely solely RB 39713 5129 7 in in IN 39713 5129 8 view view NN 39713 5129 9 of of IN 39713 5129 10 an an DT 39713 5129 11 immediate immediate JJ 39713 5129 12 application application NN 39713 5129 13 would would MD 39713 5129 14 have have VB 39713 5129 15 left leave VBN 39713 5129 16 nothing nothing NN 39713 5129 17 behind behind IN 39713 5129 18 them -PRON- PRP 39713 5129 19 , , , 39713 5129 20 and and CC 39713 5129 21 , , , 39713 5129 22 in in IN 39713 5129 23 face face NN 39713 5129 24 of of IN 39713 5129 25 a a DT 39713 5129 26 new new JJ 39713 5129 27 need need NN 39713 5129 28 , , , 39713 5129 29 all all DT 39713 5129 30 must must MD 39713 5129 31 have have VB 39713 5129 32 been be VBN 39713 5129 33 begun begin VBN 39713 5129 34 over over RP 39713 5129 35 again again RB 39713 5129 36 . . . 39713 5130 1 Now now RB 39713 5130 2 most most JJS 39713 5130 3 men man NNS 39713 5130 4 do do VBP 39713 5130 5 not not RB 39713 5130 6 love love VB 39713 5130 7 to to TO 39713 5130 8 think think VB 39713 5130 9 , , , 39713 5130 10 and and CC 39713 5130 11 this this DT 39713 5130 12 is be VBZ 39713 5130 13 perhaps perhaps RB 39713 5130 14 fortunate fortunate JJ 39713 5130 15 when when WRB 39713 5130 16 instinct instinct NN 39713 5130 17 guides guide VBZ 39713 5130 18 them -PRON- PRP 39713 5130 19 , , , 39713 5130 20 for for IN 39713 5130 21 most most RBS 39713 5130 22 often often RB 39713 5130 23 , , , 39713 5130 24 when when WRB 39713 5130 25 they -PRON- PRP 39713 5130 26 pursue pursue VBP 39713 5130 27 an an DT 39713 5130 28 aim aim NN 39713 5130 29 which which WDT 39713 5130 30 is be VBZ 39713 5130 31 immediate immediate JJ 39713 5130 32 and and CC 39713 5130 33 ever ever RB 39713 5130 34 the the DT 39713 5130 35 same same JJ 39713 5130 36 , , , 39713 5130 37 instinct instinct NN 39713 5130 38 guides guide VBZ 39713 5130 39 them -PRON- PRP 39713 5130 40 better well JJR 39713 5130 41 than than IN 39713 5130 42 reason reason NN 39713 5130 43 would would MD 39713 5130 44 guide guide VB 39713 5130 45 a a DT 39713 5130 46 pure pure JJ 39713 5130 47 intelligence intelligence NN 39713 5130 48 . . . 39713 5131 1 But but CC 39713 5131 2 instinct instinct NN 39713 5131 3 is be VBZ 39713 5131 4 routine routine JJ 39713 5131 5 , , , 39713 5131 6 and and CC 39713 5131 7 if if IN 39713 5131 8 thought thought NN 39713 5131 9 did do VBD 39713 5131 10 not not RB 39713 5131 11 fecundate fecundate VB 39713 5131 12 it -PRON- PRP 39713 5131 13 , , , 39713 5131 14 it -PRON- PRP 39713 5131 15 would would MD 39713 5131 16 no no DT 39713 5131 17 more more JJR 39713 5131 18 progress progress NN 39713 5131 19 in in IN 39713 5131 20 man man NN 39713 5131 21 than than IN 39713 5131 22 in in IN 39713 5131 23 the the DT 39713 5131 24 bee bee NNP 39713 5131 25 or or CC 39713 5131 26 ant ant NNP 39713 5131 27 . . . 39713 5132 1 It -PRON- PRP 39713 5132 2 is be VBZ 39713 5132 3 needful needful JJ 39713 5132 4 then then RB 39713 5132 5 to to TO 39713 5132 6 think think VB 39713 5132 7 for for IN 39713 5132 8 those those DT 39713 5132 9 who who WP 39713 5132 10 love love VBP 39713 5132 11 not not RB 39713 5132 12 thinking think VBG 39713 5132 13 , , , 39713 5132 14 and and CC 39713 5132 15 , , , 39713 5132 16 as as IN 39713 5132 17 they -PRON- PRP 39713 5132 18 are be VBP 39713 5132 19 numerous numerous JJ 39713 5132 20 , , , 39713 5132 21 it -PRON- PRP 39713 5132 22 is be VBZ 39713 5132 23 needful needful JJ 39713 5132 24 that that IN 39713 5132 25 each each DT 39713 5132 26 of of IN 39713 5132 27 our -PRON- PRP$ 39713 5132 28 thoughts thought NNS 39713 5132 29 be be VB 39713 5132 30 as as RB 39713 5132 31 often often RB 39713 5132 32 useful useful JJ 39713 5132 33 as as IN 39713 5132 34 possible possible JJ 39713 5132 35 , , , 39713 5132 36 and and CC 39713 5132 37 this this DT 39713 5132 38 is be VBZ 39713 5132 39 why why WRB 39713 5132 40 a a DT 39713 5132 41 law law NN 39713 5132 42 will will MD 39713 5132 43 be be VB 39713 5132 44 the the DT 39713 5132 45 more more RBR 39713 5132 46 precious precious JJ 39713 5132 47 the the DT 39713 5132 48 more more RBR 39713 5132 49 general general JJ 39713 5132 50 it -PRON- PRP 39713 5132 51 is be VBZ 39713 5132 52 . . . 39713 5133 1 This this DT 39713 5133 2 shows show VBZ 39713 5133 3 us -PRON- PRP 39713 5133 4 how how WRB 39713 5133 5 we -PRON- PRP 39713 5133 6 should should MD 39713 5133 7 choose choose VB 39713 5133 8 : : : 39713 5133 9 the the DT 39713 5133 10 most most RBS 39713 5133 11 interesting interesting JJ 39713 5133 12 facts fact NNS 39713 5133 13 are be VBP 39713 5133 14 those those DT 39713 5133 15 which which WDT 39713 5133 16 may may MD 39713 5133 17 serve serve VB 39713 5133 18 many many JJ 39713 5133 19 times time NNS 39713 5133 20 ; ; : 39713 5133 21 these these DT 39713 5133 22 are be VBP 39713 5133 23 the the DT 39713 5133 24 facts fact NNS 39713 5133 25 which which WDT 39713 5133 26 have have VBP 39713 5133 27 a a DT 39713 5133 28 chance chance NN 39713 5133 29 of of IN 39713 5133 30 coming come VBG 39713 5133 31 up up RP 39713 5133 32 again again RB 39713 5133 33 . . . 39713 5134 1 We -PRON- PRP 39713 5134 2 have have VBP 39713 5134 3 been be VBN 39713 5134 4 so so RB 39713 5134 5 fortunate fortunate JJ 39713 5134 6 as as IN 39713 5134 7 to to TO 39713 5134 8 be be VB 39713 5134 9 born bear VBN 39713 5134 10 in in IN 39713 5134 11 a a DT 39713 5134 12 world world NN 39713 5134 13 where where WRB 39713 5134 14 there there EX 39713 5134 15 are be VBP 39713 5134 16 such such JJ 39713 5134 17 . . . 39713 5135 1 Suppose suppose VB 39713 5135 2 that that IN 39713 5135 3 instead instead RB 39713 5135 4 of of IN 39713 5135 5 60 60 CD 39713 5135 6 chemical chemical NN 39713 5135 7 elements element NNS 39713 5135 8 there there EX 39713 5135 9 were be VBD 39713 5135 10 60 60 CD 39713 5135 11 milliards milliard NNS 39713 5135 12 of of IN 39713 5135 13 them -PRON- PRP 39713 5135 14 , , , 39713 5135 15 that that IN 39713 5135 16 they -PRON- PRP 39713 5135 17 were be VBD 39713 5135 18 not not RB 39713 5135 19 some some DT 39713 5135 20 common common JJ 39713 5135 21 , , , 39713 5135 22 the the DT 39713 5135 23 others other NNS 39713 5135 24 rare rare VBP 39713 5135 25 , , , 39713 5135 26 but but CC 39713 5135 27 that that IN 39713 5135 28 they -PRON- PRP 39713 5135 29 were be VBD 39713 5135 30 uniformly uniformly RB 39713 5135 31 distributed distribute VBN 39713 5135 32 . . . 39713 5136 1 Then then RB 39713 5136 2 , , , 39713 5136 3 every every DT 39713 5136 4 time time NN 39713 5136 5 we -PRON- PRP 39713 5136 6 picked pick VBD 39713 5136 7 up up RP 39713 5136 8 a a DT 39713 5136 9 new new JJ 39713 5136 10 pebble pebble NN 39713 5136 11 there there EX 39713 5136 12 would would MD 39713 5136 13 be be VB 39713 5136 14 great great JJ 39713 5136 15 probability probability NN 39713 5136 16 of of IN 39713 5136 17 its -PRON- PRP$ 39713 5136 18 being be VBG 39713 5136 19 formed form VBN 39713 5136 20 of of IN 39713 5136 21 some some DT 39713 5136 22 unknown unknown JJ 39713 5136 23 substance substance NN 39713 5136 24 ; ; : 39713 5136 25 all all DT 39713 5136 26 that that WDT 39713 5136 27 we -PRON- PRP 39713 5136 28 knew know VBD 39713 5136 29 of of IN 39713 5136 30 other other JJ 39713 5136 31 pebbles pebble NNS 39713 5136 32 would would MD 39713 5136 33 be be VB 39713 5136 34 worthless worthless JJ 39713 5136 35 for for IN 39713 5136 36 it -PRON- PRP 39713 5136 37 ; ; : 39713 5136 38 before before IN 39713 5136 39 each each DT 39713 5136 40 new new JJ 39713 5136 41 object object NN 39713 5136 42 we -PRON- PRP 39713 5136 43 should should MD 39713 5136 44 be be VB 39713 5136 45 as as IN 39713 5136 46 the the DT 39713 5136 47 new new RB 39713 5136 48 - - HYPH 39713 5136 49 born bear VBN 39713 5136 50 babe babe NNP 39713 5136 51 ; ; : 39713 5136 52 like like IN 39713 5136 53 it -PRON- PRP 39713 5136 54 we -PRON- PRP 39713 5136 55 could could MD 39713 5136 56 only only RB 39713 5136 57 obey obey VB 39713 5136 58 our -PRON- PRP$ 39713 5136 59 caprices caprice NNS 39713 5136 60 or or CC 39713 5136 61 our -PRON- PRP$ 39713 5136 62 needs need NNS 39713 5136 63 . . . 39713 5137 1 Biologists biologist NNS 39713 5137 2 would would MD 39713 5137 3 be be VB 39713 5137 4 just just RB 39713 5137 5 as as RB 39713 5137 6 much much JJ 39713 5137 7 at at IN 39713 5137 8 a a DT 39713 5137 9 loss loss NN 39713 5137 10 if if IN 39713 5137 11 there there EX 39713 5137 12 were be VBD 39713 5137 13 only only RB 39713 5137 14 individuals individual NNS 39713 5137 15 and and CC 39713 5137 16 no no DT 39713 5137 17 species specie NNS 39713 5137 18 and and CC 39713 5137 19 if if IN 39713 5137 20 heredity heredity NN 39713 5137 21 did do VBD 39713 5137 22 not not RB 39713 5137 23 make make VB 39713 5137 24 sons son NNS 39713 5137 25 like like IN 39713 5137 26 their -PRON- PRP$ 39713 5137 27 fathers father NNS 39713 5137 28 . . . 39713 5138 1 In in IN 39713 5138 2 such such PDT 39713 5138 3 a a DT 39713 5138 4 world world NN 39713 5138 5 there there EX 39713 5138 6 would would MD 39713 5138 7 be be VB 39713 5138 8 no no DT 39713 5138 9 science science NN 39713 5138 10 ; ; : 39713 5138 11 perhaps perhaps RB 39713 5138 12 thought think VBD 39713 5138 13 and and CC 39713 5138 14 even even RB 39713 5138 15 life life NN 39713 5138 16 would would MD 39713 5138 17 be be VB 39713 5138 18 impossible impossible JJ 39713 5138 19 , , , 39713 5138 20 since since IN 39713 5138 21 evolution evolution NN 39713 5138 22 could could MD 39713 5138 23 not not RB 39713 5138 24 there there RB 39713 5138 25 develop develop VB 39713 5138 26 the the DT 39713 5138 27 preservational preservational JJ 39713 5138 28 instincts instinct NNS 39713 5138 29 . . . 39713 5139 1 Happily happily RB 39713 5139 2 it -PRON- PRP 39713 5139 3 is be VBZ 39713 5139 4 not not RB 39713 5139 5 so so RB 39713 5139 6 ; ; : 39713 5139 7 like like IN 39713 5139 8 all all DT 39713 5139 9 good good JJ 39713 5139 10 fortune fortune NN 39713 5139 11 to to TO 39713 5139 12 which which WDT 39713 5139 13 we -PRON- PRP 39713 5139 14 are be VBP 39713 5139 15 accustomed accustomed JJ 39713 5139 16 , , , 39713 5139 17 this this DT 39713 5139 18 is be VBZ 39713 5139 19 not not RB 39713 5139 20 appreciated appreciate VBN 39713 5139 21 at at IN 39713 5139 22 its -PRON- PRP$ 39713 5139 23 true true JJ 39713 5139 24 worth worth NN 39713 5139 25 . . . 39713 5140 1 Which which WDT 39713 5140 2 then then RB 39713 5140 3 are be VBP 39713 5140 4 the the DT 39713 5140 5 facts fact NNS 39713 5140 6 likely likely JJ 39713 5140 7 to to TO 39713 5140 8 reappear reappear VB 39713 5140 9 ? ? . 39713 5141 1 They -PRON- PRP 39713 5141 2 are be VBP 39713 5141 3 first first RB 39713 5141 4 the the DT 39713 5141 5 simple simple JJ 39713 5141 6 facts fact NNS 39713 5141 7 . . . 39713 5142 1 It -PRON- PRP 39713 5142 2 is be VBZ 39713 5142 3 clear clear JJ 39713 5142 4 that that IN 39713 5142 5 in in IN 39713 5142 6 a a DT 39713 5142 7 complex complex JJ 39713 5142 8 fact fact NN 39713 5142 9 a a DT 39713 5142 10 thousand thousand CD 39713 5142 11 circumstances circumstance NNS 39713 5142 12 are be VBP 39713 5142 13 united unite VBN 39713 5142 14 by by IN 39713 5142 15 chance chance NN 39713 5142 16 , , , 39713 5142 17 and and CC 39713 5142 18 that that IN 39713 5142 19 only only RB 39713 5142 20 a a DT 39713 5142 21 chance chance NN 39713 5142 22 still still RB 39713 5142 23 much much RB 39713 5142 24 less less RBR 39713 5142 25 probable probable JJ 39713 5142 26 could could MD 39713 5142 27 reunite reunite VB 39713 5142 28 them -PRON- PRP 39713 5142 29 anew anew RB 39713 5142 30 . . . 39713 5143 1 But but CC 39713 5143 2 are be VBP 39713 5143 3 there there EX 39713 5143 4 any any DT 39713 5143 5 simple simple JJ 39713 5143 6 facts fact NNS 39713 5143 7 ? ? . 39713 5144 1 And and CC 39713 5144 2 if if IN 39713 5144 3 there there EX 39713 5144 4 are be VBP 39713 5144 5 , , , 39713 5144 6 how how WRB 39713 5144 7 recognize recognize VB 39713 5144 8 them -PRON- PRP 39713 5144 9 ? ? . 39713 5145 1 What what WDT 39713 5145 2 assurance assurance NN 39713 5145 3 is be VBZ 39713 5145 4 there there RB 39713 5145 5 that that WDT 39713 5145 6 a a DT 39713 5145 7 thing thing NN 39713 5145 8 we -PRON- PRP 39713 5145 9 think think VBP 39713 5145 10 simple simple JJ 39713 5145 11 does do VBZ 39713 5145 12 not not RB 39713 5145 13 hide hide VB 39713 5145 14 a a DT 39713 5145 15 dreadful dreadful JJ 39713 5145 16 complexity complexity NN 39713 5145 17 ? ? . 39713 5146 1 All all DT 39713 5146 2 we -PRON- PRP 39713 5146 3 can can MD 39713 5146 4 say say VB 39713 5146 5 is be VBZ 39713 5146 6 that that IN 39713 5146 7 we -PRON- PRP 39713 5146 8 ought ought MD 39713 5146 9 to to TO 39713 5146 10 prefer prefer VB 39713 5146 11 the the DT 39713 5146 12 facts fact NNS 39713 5146 13 which which WDT 39713 5146 14 _ _ NNP 39713 5146 15 seem seem VBP 39713 5146 16 _ _ NNP 39713 5146 17 simple simple NN 39713 5146 18 to to IN 39713 5146 19 those those DT 39713 5146 20 where where WRB 39713 5146 21 our -PRON- PRP$ 39713 5146 22 crude crude JJ 39713 5146 23 eye eye NN 39713 5146 24 discerns discern NNS 39713 5146 25 unlike unlike IN 39713 5146 26 elements element NNS 39713 5146 27 . . . 39713 5147 1 And and CC 39713 5147 2 then then RB 39713 5147 3 one one CD 39713 5147 4 of of IN 39713 5147 5 two two CD 39713 5147 6 things thing NNS 39713 5147 7 : : : 39713 5147 8 either either CC 39713 5147 9 this this DT 39713 5147 10 simplicity simplicity NN 39713 5147 11 is be VBZ 39713 5147 12 real real JJ 39713 5147 13 , , , 39713 5147 14 or or CC 39713 5147 15 else else RB 39713 5147 16 the the DT 39713 5147 17 elements element NNS 39713 5147 18 are be VBP 39713 5147 19 so so RB 39713 5147 20 intimately intimately RB 39713 5147 21 mingled mingle VBN 39713 5147 22 as as RB 39713 5147 23 not not RB 39713 5147 24 to to TO 39713 5147 25 be be VB 39713 5147 26 distinguishable distinguishable JJ 39713 5147 27 . . . 39713 5148 1 In in IN 39713 5148 2 the the DT 39713 5148 3 first first JJ 39713 5148 4 case case NN 39713 5148 5 there there EX 39713 5148 6 is be VBZ 39713 5148 7 chance chance NN 39713 5148 8 of of IN 39713 5148 9 our -PRON- PRP$ 39713 5148 10 meeting meeting NN 39713 5148 11 anew anew RB 39713 5148 12 this this DT 39713 5148 13 same same JJ 39713 5148 14 simple simple JJ 39713 5148 15 fact fact NN 39713 5148 16 , , , 39713 5148 17 either either CC 39713 5148 18 in in IN 39713 5148 19 all all DT 39713 5148 20 its -PRON- PRP$ 39713 5148 21 purity purity NN 39713 5148 22 or or CC 39713 5148 23 entering enter VBG 39713 5148 24 itself -PRON- PRP 39713 5148 25 as as IN 39713 5148 26 element element NN 39713 5148 27 in in IN 39713 5148 28 a a DT 39713 5148 29 complex complex JJ 39713 5148 30 manifold manifold NN 39713 5148 31 . . . 39713 5149 1 In in IN 39713 5149 2 the the DT 39713 5149 3 second second JJ 39713 5149 4 case case NN 39713 5149 5 this this DT 39713 5149 6 intimate intimate JJ 39713 5149 7 mixture mixture NN 39713 5149 8 has have VBZ 39713 5149 9 likewise likewise RB 39713 5149 10 more more JJR 39713 5149 11 chances chance NNS 39713 5149 12 of of IN 39713 5149 13 recurring recur VBG 39713 5149 14 than than IN 39713 5149 15 a a DT 39713 5149 16 heterogeneous heterogeneous JJ 39713 5149 17 assemblage assemblage NN 39713 5149 18 ; ; : 39713 5149 19 chance chance NN 39713 5149 20 knows know VBZ 39713 5149 21 how how WRB 39713 5149 22 to to TO 39713 5149 23 mix mix VB 39713 5149 24 , , , 39713 5149 25 it -PRON- PRP 39713 5149 26 knows know VBZ 39713 5149 27 not not RB 39713 5149 28 how how WRB 39713 5149 29 to to TO 39713 5149 30 disentangle disentangle VB 39713 5149 31 , , , 39713 5149 32 and and CC 39713 5149 33 to to TO 39713 5149 34 make make VB 39713 5149 35 with with IN 39713 5149 36 multiple multiple JJ 39713 5149 37 elements element NNS 39713 5149 38 a a DT 39713 5149 39 well well RB 39713 5149 40 - - HYPH 39713 5149 41 ordered order VBN 39713 5149 42 edifice edifice NN 39713 5149 43 in in IN 39713 5149 44 which which WDT 39713 5149 45 something something NN 39713 5149 46 is be VBZ 39713 5149 47 distinguishable distinguishable JJ 39713 5149 48 , , , 39713 5149 49 it -PRON- PRP 39713 5149 50 must must MD 39713 5149 51 be be VB 39713 5149 52 made make VBN 39713 5149 53 expressly expressly RB 39713 5149 54 . . . 39713 5150 1 The the DT 39713 5150 2 facts fact NNS 39713 5150 3 which which WDT 39713 5150 4 appear appear VBP 39713 5150 5 simple simple JJ 39713 5150 6 , , , 39713 5150 7 even even RB 39713 5150 8 if if IN 39713 5150 9 they -PRON- PRP 39713 5150 10 are be VBP 39713 5150 11 not not RB 39713 5150 12 so so RB 39713 5150 13 , , , 39713 5150 14 will will MD 39713 5150 15 therefore therefore RB 39713 5150 16 be be VB 39713 5150 17 more more RBR 39713 5150 18 easily easily RB 39713 5150 19 revived revive VBN 39713 5150 20 by by IN 39713 5150 21 chance chance NN 39713 5150 22 . . . 39713 5151 1 This this DT 39713 5151 2 it -PRON- PRP 39713 5151 3 is be VBZ 39713 5151 4 which which WDT 39713 5151 5 justifies justifie NNS 39713 5151 6 the the DT 39713 5151 7 method method NN 39713 5151 8 instinctively instinctively RB 39713 5151 9 adopted adopt VBN 39713 5151 10 by by IN 39713 5151 11 the the DT 39713 5151 12 scientist scientist NN 39713 5151 13 , , , 39713 5151 14 and and CC 39713 5151 15 what what WP 39713 5151 16 justifies justify VBZ 39713 5151 17 it -PRON- PRP 39713 5151 18 still still RB 39713 5151 19 better well RBR 39713 5151 20 , , , 39713 5151 21 perhaps perhaps RB 39713 5151 22 , , , 39713 5151 23 is be VBZ 39713 5151 24 that that DT 39713 5151 25 oft oft RB 39713 5151 26 - - HYPH 39713 5151 27 recurring recur VBG 39713 5151 28 facts fact NNS 39713 5151 29 appear appear VBP 39713 5151 30 to to IN 39713 5151 31 us -PRON- PRP 39713 5151 32 simple simple JJ 39713 5151 33 , , , 39713 5151 34 precisely precisely RB 39713 5151 35 because because IN 39713 5151 36 we -PRON- PRP 39713 5151 37 are be VBP 39713 5151 38 used use VBN 39713 5151 39 to to IN 39713 5151 40 them -PRON- PRP 39713 5151 41 . . . 39713 5152 1 But but CC 39713 5152 2 where where WRB 39713 5152 3 is be VBZ 39713 5152 4 the the DT 39713 5152 5 simple simple JJ 39713 5152 6 fact fact NN 39713 5152 7 ? ? . 39713 5153 1 Scientists scientist NNS 39713 5153 2 have have VBP 39713 5153 3 been be VBN 39713 5153 4 seeking seek VBG 39713 5153 5 it -PRON- PRP 39713 5153 6 in in IN 39713 5153 7 the the DT 39713 5153 8 two two CD 39713 5153 9 extremes extreme NNS 39713 5153 10 , , , 39713 5153 11 in in IN 39713 5153 12 the the DT 39713 5153 13 infinitely infinitely RB 39713 5153 14 great great JJ 39713 5153 15 and and CC 39713 5153 16 in in IN 39713 5153 17 the the DT 39713 5153 18 infinitely infinitely RB 39713 5153 19 small small JJ 39713 5153 20 . . . 39713 5154 1 The the DT 39713 5154 2 astronomer astronomer NN 39713 5154 3 has have VBZ 39713 5154 4 found find VBN 39713 5154 5 it -PRON- PRP 39713 5154 6 because because IN 39713 5154 7 the the DT 39713 5154 8 distances distance NNS 39713 5154 9 of of IN 39713 5154 10 the the DT 39713 5154 11 stars star NNS 39713 5154 12 are be VBP 39713 5154 13 immense immense JJ 39713 5154 14 , , , 39713 5154 15 so so RB 39713 5154 16 great great JJ 39713 5154 17 that that IN 39713 5154 18 each each DT 39713 5154 19 of of IN 39713 5154 20 them -PRON- PRP 39713 5154 21 appears appear VBZ 39713 5154 22 but but CC 39713 5154 23 as as IN 39713 5154 24 a a DT 39713 5154 25 point point NN 39713 5154 26 , , , 39713 5154 27 so so RB 39713 5154 28 great great JJ 39713 5154 29 that that IN 39713 5154 30 the the DT 39713 5154 31 qualitative qualitative JJ 39713 5154 32 differences difference NNS 39713 5154 33 are be VBP 39713 5154 34 effaced efface VBN 39713 5154 35 , , , 39713 5154 36 and and CC 39713 5154 37 because because IN 39713 5154 38 a a DT 39713 5154 39 point point NN 39713 5154 40 is be VBZ 39713 5154 41 simpler simple JJR 39713 5154 42 than than IN 39713 5154 43 a a DT 39713 5154 44 body body NN 39713 5154 45 which which WDT 39713 5154 46 has have VBZ 39713 5154 47 form form NN 39713 5154 48 and and CC 39713 5154 49 qualities quality NNS 39713 5154 50 . . . 39713 5155 1 The the DT 39713 5155 2 physicist physicist NN 39713 5155 3 on on IN 39713 5155 4 the the DT 39713 5155 5 other other JJ 39713 5155 6 hand hand NN 39713 5155 7 has have VBZ 39713 5155 8 sought seek VBN 39713 5155 9 the the DT 39713 5155 10 elementary elementary JJ 39713 5155 11 phenomenon phenomenon NN 39713 5155 12 in in IN 39713 5155 13 fictively fictively RB 39713 5155 14 cutting cut VBG 39713 5155 15 up up RP 39713 5155 16 bodies body NNS 39713 5155 17 into into IN 39713 5155 18 infinitesimal infinitesimal JJ 39713 5155 19 cubes cube NNS 39713 5155 20 , , , 39713 5155 21 because because IN 39713 5155 22 the the DT 39713 5155 23 conditions condition NNS 39713 5155 24 of of IN 39713 5155 25 the the DT 39713 5155 26 problem problem NN 39713 5155 27 , , , 39713 5155 28 which which WDT 39713 5155 29 undergo undergo VBP 39713 5155 30 slow slow JJ 39713 5155 31 and and CC 39713 5155 32 continuous continuous JJ 39713 5155 33 variation variation NN 39713 5155 34 in in IN 39713 5155 35 passing pass VBG 39713 5155 36 from from IN 39713 5155 37 one one CD 39713 5155 38 point point NN 39713 5155 39 of of IN 39713 5155 40 the the DT 39713 5155 41 body body NN 39713 5155 42 to to IN 39713 5155 43 another another DT 39713 5155 44 , , , 39713 5155 45 may may MD 39713 5155 46 be be VB 39713 5155 47 regarded regard VBN 39713 5155 48 as as IN 39713 5155 49 constant constant JJ 39713 5155 50 in in IN 39713 5155 51 the the DT 39713 5155 52 interior interior NN 39713 5155 53 of of IN 39713 5155 54 each each DT 39713 5155 55 of of IN 39713 5155 56 these these DT 39713 5155 57 little little JJ 39713 5155 58 cubes cube NNS 39713 5155 59 . . . 39713 5156 1 In in IN 39713 5156 2 the the DT 39713 5156 3 same same JJ 39713 5156 4 way way NN 39713 5156 5 the the DT 39713 5156 6 biologist biologist NN 39713 5156 7 has have VBZ 39713 5156 8 been be VBN 39713 5156 9 instinctively instinctively RB 39713 5156 10 led lead VBN 39713 5156 11 to to TO 39713 5156 12 regard regard VB 39713 5156 13 the the DT 39713 5156 14 cell cell NN 39713 5156 15 as as IN 39713 5156 16 more more RBR 39713 5156 17 interesting interesting JJ 39713 5156 18 than than IN 39713 5156 19 the the DT 39713 5156 20 whole whole JJ 39713 5156 21 animal animal NN 39713 5156 22 , , , 39713 5156 23 and and CC 39713 5156 24 the the DT 39713 5156 25 outcome outcome NN 39713 5156 26 has have VBZ 39713 5156 27 shown show VBN 39713 5156 28 his -PRON- PRP$ 39713 5156 29 wisdom wisdom NN 39713 5156 30 , , , 39713 5156 31 since since IN 39713 5156 32 cells cell NNS 39713 5156 33 belonging belong VBG 39713 5156 34 to to IN 39713 5156 35 organisms organism NNS 39713 5156 36 the the DT 39713 5156 37 most most RBS 39713 5156 38 different different JJ 39713 5156 39 are be VBP 39713 5156 40 more more RBR 39713 5156 41 alike alike RB 39713 5156 42 , , , 39713 5156 43 for for IN 39713 5156 44 the the DT 39713 5156 45 one one NN 39713 5156 46 who who WP 39713 5156 47 can can MD 39713 5156 48 recognize recognize VB 39713 5156 49 their -PRON- PRP$ 39713 5156 50 resemblances resemblance NNS 39713 5156 51 , , , 39713 5156 52 than than IN 39713 5156 53 are be VBP 39713 5156 54 these these DT 39713 5156 55 organisms organism NNS 39713 5156 56 themselves -PRON- PRP 39713 5156 57 . . . 39713 5157 1 The the DT 39713 5157 2 sociologist sociologist NN 39713 5157 3 is be VBZ 39713 5157 4 more more RBR 39713 5157 5 embarrassed embarrassed JJ 39713 5157 6 ; ; : 39713 5157 7 the the DT 39713 5157 8 elements element NNS 39713 5157 9 , , , 39713 5157 10 which which WDT 39713 5157 11 for for IN 39713 5157 12 him -PRON- PRP 39713 5157 13 are be VBP 39713 5157 14 men man NNS 39713 5157 15 , , , 39713 5157 16 are be VBP 39713 5157 17 too too RB 39713 5157 18 unlike unlike JJ 39713 5157 19 , , , 39713 5157 20 too too RB 39713 5157 21 variable variable JJ 39713 5157 22 , , , 39713 5157 23 too too RB 39713 5157 24 capricious capricious JJ 39713 5157 25 , , , 39713 5157 26 in in IN 39713 5157 27 a a DT 39713 5157 28 word word NN 39713 5157 29 , , , 39713 5157 30 too too RB 39713 5157 31 complex complex JJ 39713 5157 32 ; ; : 39713 5157 33 besides besides RB 39713 5157 34 , , , 39713 5157 35 history history NN 39713 5157 36 never never RB 39713 5157 37 begins begin VBZ 39713 5157 38 over over RP 39713 5157 39 again again RB 39713 5157 40 . . . 39713 5158 1 How how WRB 39713 5158 2 then then RB 39713 5158 3 choose choose VBP 39713 5158 4 the the DT 39713 5158 5 interesting interesting JJ 39713 5158 6 fact fact NN 39713 5158 7 , , , 39713 5158 8 which which WDT 39713 5158 9 is be VBZ 39713 5158 10 that that DT 39713 5158 11 which which WDT 39713 5158 12 begins begin VBZ 39713 5158 13 again again RB 39713 5158 14 ? ? . 39713 5159 1 Method Method NNP 39713 5159 2 is be VBZ 39713 5159 3 precisely precisely RB 39713 5159 4 the the DT 39713 5159 5 choice choice NN 39713 5159 6 of of IN 39713 5159 7 facts fact NNS 39713 5159 8 ; ; : 39713 5159 9 it -PRON- PRP 39713 5159 10 is be VBZ 39713 5159 11 needful needful JJ 39713 5159 12 then then RB 39713 5159 13 to to TO 39713 5159 14 be be VB 39713 5159 15 occupied occupy VBN 39713 5159 16 first first RB 39713 5159 17 with with IN 39713 5159 18 creating create VBG 39713 5159 19 a a DT 39713 5159 20 method method NN 39713 5159 21 , , , 39713 5159 22 and and CC 39713 5159 23 many many JJ 39713 5159 24 have have VBP 39713 5159 25 been be VBN 39713 5159 26 imagined imagine VBN 39713 5159 27 , , , 39713 5159 28 since since IN 39713 5159 29 none none NN 39713 5159 30 imposes impose VBZ 39713 5159 31 itself -PRON- PRP 39713 5159 32 , , , 39713 5159 33 so so IN 39713 5159 34 that that IN 39713 5159 35 sociology sociology NN 39713 5159 36 is be VBZ 39713 5159 37 the the DT 39713 5159 38 science science NN 39713 5159 39 which which WDT 39713 5159 40 has have VBZ 39713 5159 41 the the DT 39713 5159 42 most most JJS 39713 5159 43 methods method NNS 39713 5159 44 and and CC 39713 5159 45 the the DT 39713 5159 46 fewest few JJS 39713 5159 47 results result NNS 39713 5159 48 . . . 39713 5160 1 Therefore therefore RB 39713 5160 2 it -PRON- PRP 39713 5160 3 is be VBZ 39713 5160 4 by by IN 39713 5160 5 the the DT 39713 5160 6 regular regular JJ 39713 5160 7 facts fact NNS 39713 5160 8 that that IN 39713 5160 9 it -PRON- PRP 39713 5160 10 is be VBZ 39713 5160 11 proper proper JJ 39713 5160 12 to to TO 39713 5160 13 begin begin VB 39713 5160 14 ; ; : 39713 5160 15 but but CC 39713 5160 16 after after IN 39713 5160 17 the the DT 39713 5160 18 rule rule NN 39713 5160 19 is be VBZ 39713 5160 20 well well RB 39713 5160 21 established establish VBN 39713 5160 22 , , , 39713 5160 23 after after IN 39713 5160 24 it -PRON- PRP 39713 5160 25 is be VBZ 39713 5160 26 beyond beyond RB 39713 5160 27 all all RB 39713 5160 28 doubt doubt NN 39713 5160 29 , , , 39713 5160 30 the the DT 39713 5160 31 facts fact NNS 39713 5160 32 in in IN 39713 5160 33 full full JJ 39713 5160 34 conformity conformity NN 39713 5160 35 with with IN 39713 5160 36 it -PRON- PRP 39713 5160 37 are be VBP 39713 5160 38 erelong erelong NN 39713 5160 39 without without IN 39713 5160 40 interest interest NN 39713 5160 41 since since IN 39713 5160 42 they -PRON- PRP 39713 5160 43 no no RB 39713 5160 44 longer longer RB 39713 5160 45 teach teach VBP 39713 5160 46 us -PRON- PRP 39713 5160 47 anything anything NN 39713 5160 48 new new JJ 39713 5160 49 . . . 39713 5161 1 It -PRON- PRP 39713 5161 2 is be VBZ 39713 5161 3 then then RB 39713 5161 4 the the DT 39713 5161 5 exception exception NN 39713 5161 6 which which WDT 39713 5161 7 becomes become VBZ 39713 5161 8 important important JJ 39713 5161 9 . . . 39713 5162 1 We -PRON- PRP 39713 5162 2 cease cease VBP 39713 5162 3 to to TO 39713 5162 4 seek seek VB 39713 5162 5 resemblances resemblance NNS 39713 5162 6 ; ; : 39713 5162 7 we -PRON- PRP 39713 5162 8 devote devote VBP 39713 5162 9 ourselves -PRON- PRP 39713 5162 10 above above IN 39713 5162 11 all all DT 39713 5162 12 to to IN 39713 5162 13 the the DT 39713 5162 14 differences difference NNS 39713 5162 15 , , , 39713 5162 16 and and CC 39713 5162 17 among among IN 39713 5162 18 the the DT 39713 5162 19 differences difference NNS 39713 5162 20 are be VBP 39713 5162 21 chosen choose VBN 39713 5162 22 first first RB 39713 5162 23 the the DT 39713 5162 24 most most RBS 39713 5162 25 accentuated accentuated JJ 39713 5162 26 , , , 39713 5162 27 not not RB 39713 5162 28 only only RB 39713 5162 29 because because IN 39713 5162 30 they -PRON- PRP 39713 5162 31 are be VBP 39713 5162 32 the the DT 39713 5162 33 most most RBS 39713 5162 34 striking striking JJ 39713 5162 35 , , , 39713 5162 36 but but CC 39713 5162 37 because because IN 39713 5162 38 they -PRON- PRP 39713 5162 39 will will MD 39713 5162 40 be be VB 39713 5162 41 the the DT 39713 5162 42 most most RBS 39713 5162 43 instructive instructive JJ 39713 5162 44 . . . 39713 5163 1 A a DT 39713 5163 2 simple simple JJ 39713 5163 3 example example NN 39713 5163 4 will will MD 39713 5163 5 make make VB 39713 5163 6 my -PRON- PRP$ 39713 5163 7 thought thought NN 39713 5163 8 plainer plainer NN 39713 5163 9 : : : 39713 5163 10 Suppose suppose VB 39713 5163 11 one one CD 39713 5163 12 wishes wish VBZ 39713 5163 13 to to TO 39713 5163 14 determine determine VB 39713 5163 15 a a DT 39713 5163 16 curve curve NN 39713 5163 17 by by IN 39713 5163 18 observing observe VBG 39713 5163 19 some some DT 39713 5163 20 of of IN 39713 5163 21 its -PRON- PRP$ 39713 5163 22 points point NNS 39713 5163 23 . . . 39713 5164 1 The the DT 39713 5164 2 practician practician NN 39713 5164 3 who who WP 39713 5164 4 concerns concern VBZ 39713 5164 5 himself -PRON- PRP 39713 5164 6 only only RB 39713 5164 7 with with IN 39713 5164 8 immediate immediate JJ 39713 5164 9 utility utility NN 39713 5164 10 would would MD 39713 5164 11 observe observe VB 39713 5164 12 only only RB 39713 5164 13 the the DT 39713 5164 14 points point NNS 39713 5164 15 he -PRON- PRP 39713 5164 16 might may MD 39713 5164 17 need need VB 39713 5164 18 for for IN 39713 5164 19 some some DT 39713 5164 20 special special JJ 39713 5164 21 object object NN 39713 5164 22 . . . 39713 5165 1 These these DT 39713 5165 2 points point NNS 39713 5165 3 would would MD 39713 5165 4 be be VB 39713 5165 5 badly badly RB 39713 5165 6 distributed distribute VBN 39713 5165 7 on on IN 39713 5165 8 the the DT 39713 5165 9 curve curve NN 39713 5165 10 ; ; : 39713 5165 11 they -PRON- PRP 39713 5165 12 would would MD 39713 5165 13 be be VB 39713 5165 14 crowded crowd VBN 39713 5165 15 in in IN 39713 5165 16 certain certain JJ 39713 5165 17 regions region NNS 39713 5165 18 , , , 39713 5165 19 rare rare JJ 39713 5165 20 in in IN 39713 5165 21 others other NNS 39713 5165 22 , , , 39713 5165 23 so so IN 39713 5165 24 that that IN 39713 5165 25 it -PRON- PRP 39713 5165 26 would would MD 39713 5165 27 be be VB 39713 5165 28 impossible impossible JJ 39713 5165 29 to to TO 39713 5165 30 join join VB 39713 5165 31 them -PRON- PRP 39713 5165 32 by by IN 39713 5165 33 a a DT 39713 5165 34 continuous continuous JJ 39713 5165 35 line line NN 39713 5165 36 , , , 39713 5165 37 and and CC 39713 5165 38 they -PRON- PRP 39713 5165 39 would would MD 39713 5165 40 be be VB 39713 5165 41 unavailable unavailable JJ 39713 5165 42 for for IN 39713 5165 43 other other JJ 39713 5165 44 applications application NNS 39713 5165 45 . . . 39713 5166 1 The the DT 39713 5166 2 scientist scientist NN 39713 5166 3 will will MD 39713 5166 4 proceed proceed VB 39713 5166 5 differently differently RB 39713 5166 6 ; ; : 39713 5166 7 as as IN 39713 5166 8 he -PRON- PRP 39713 5166 9 wishes wish VBZ 39713 5166 10 to to TO 39713 5166 11 study study VB 39713 5166 12 the the DT 39713 5166 13 curve curve NN 39713 5166 14 for for IN 39713 5166 15 itself -PRON- PRP 39713 5166 16 , , , 39713 5166 17 he -PRON- PRP 39713 5166 18 will will MD 39713 5166 19 distribute distribute VB 39713 5166 20 regularly regularly RB 39713 5166 21 the the DT 39713 5166 22 points point NNS 39713 5166 23 to to TO 39713 5166 24 be be VB 39713 5166 25 observed observe VBN 39713 5166 26 , , , 39713 5166 27 and and CC 39713 5166 28 when when WRB 39713 5166 29 enough enough JJ 39713 5166 30 are be VBP 39713 5166 31 known know VBN 39713 5166 32 he -PRON- PRP 39713 5166 33 will will MD 39713 5166 34 join join VB 39713 5166 35 them -PRON- PRP 39713 5166 36 by by IN 39713 5166 37 a a DT 39713 5166 38 regular regular JJ 39713 5166 39 line line NN 39713 5166 40 and and CC 39713 5166 41 then then RB 39713 5166 42 he -PRON- PRP 39713 5166 43 will will MD 39713 5166 44 have have VB 39713 5166 45 the the DT 39713 5166 46 entire entire JJ 39713 5166 47 curve curve NN 39713 5166 48 . . . 39713 5167 1 But but CC 39713 5167 2 for for IN 39713 5167 3 that that DT 39713 5167 4 how how WRB 39713 5167 5 does do VBZ 39713 5167 6 he -PRON- PRP 39713 5167 7 proceed proceed VB 39713 5167 8 ? ? . 39713 5168 1 If if IN 39713 5168 2 he -PRON- PRP 39713 5168 3 has have VBZ 39713 5168 4 determined determine VBN 39713 5168 5 an an DT 39713 5168 6 extreme extreme JJ 39713 5168 7 point point NN 39713 5168 8 of of IN 39713 5168 9 the the DT 39713 5168 10 curve curve NN 39713 5168 11 , , , 39713 5168 12 he -PRON- PRP 39713 5168 13 does do VBZ 39713 5168 14 not not RB 39713 5168 15 stay stay VB 39713 5168 16 near near IN 39713 5168 17 this this DT 39713 5168 18 extremity extremity NN 39713 5168 19 , , , 39713 5168 20 but but CC 39713 5168 21 goes go VBZ 39713 5168 22 first first RB 39713 5168 23 to to IN 39713 5168 24 the the DT 39713 5168 25 other other JJ 39713 5168 26 end end NN 39713 5168 27 ; ; : 39713 5168 28 after after IN 39713 5168 29 the the DT 39713 5168 30 two two CD 39713 5168 31 extremities extremity NNS 39713 5168 32 the the DT 39713 5168 33 most most RBS 39713 5168 34 instructive instructive JJ 39713 5168 35 point point NN 39713 5168 36 will will MD 39713 5168 37 be be VB 39713 5168 38 the the DT 39713 5168 39 mid mid NN 39713 5168 40 - - NN 39713 5168 41 point point NN 39713 5168 42 , , , 39713 5168 43 and and CC 39713 5168 44 so so RB 39713 5168 45 on on RB 39713 5168 46 . . . 39713 5169 1 So so RB 39713 5169 2 when when WRB 39713 5169 3 a a DT 39713 5169 4 rule rule NN 39713 5169 5 is be VBZ 39713 5169 6 established establish VBN 39713 5169 7 we -PRON- PRP 39713 5169 8 should should MD 39713 5169 9 first first RB 39713 5169 10 seek seek VB 39713 5169 11 the the DT 39713 5169 12 cases case NNS 39713 5169 13 where where WRB 39713 5169 14 this this DT 39713 5169 15 rule rule NN 39713 5169 16 has have VBZ 39713 5169 17 the the DT 39713 5169 18 greatest great JJS 39713 5169 19 chance chance NN 39713 5169 20 of of IN 39713 5169 21 failing fail VBG 39713 5169 22 . . . 39713 5170 1 Thence Thence NNP 39713 5170 2 , , , 39713 5170 3 among among IN 39713 5170 4 other other JJ 39713 5170 5 reasons reason NNS 39713 5170 6 , , , 39713 5170 7 come come VB 39713 5170 8 the the DT 39713 5170 9 interest interest NN 39713 5170 10 of of IN 39713 5170 11 astronomic astronomic JJ 39713 5170 12 facts fact NNS 39713 5170 13 , , , 39713 5170 14 and and CC 39713 5170 15 the the DT 39713 5170 16 interest interest NN 39713 5170 17 of of IN 39713 5170 18 the the DT 39713 5170 19 geologic geologic JJ 39713 5170 20 past past NN 39713 5170 21 ; ; : 39713 5170 22 by by IN 39713 5170 23 going go VBG 39713 5170 24 very very RB 39713 5170 25 far far RB 39713 5170 26 away away RB 39713 5170 27 in in IN 39713 5170 28 space space NN 39713 5170 29 or or CC 39713 5170 30 very very RB 39713 5170 31 far far RB 39713 5170 32 away away RB 39713 5170 33 in in IN 39713 5170 34 time time NN 39713 5170 35 , , , 39713 5170 36 we -PRON- PRP 39713 5170 37 may may MD 39713 5170 38 find find VB 39713 5170 39 our -PRON- PRP$ 39713 5170 40 usual usual JJ 39713 5170 41 rules rule NNS 39713 5170 42 entirely entirely RB 39713 5170 43 overturned overturn VBD 39713 5170 44 , , , 39713 5170 45 and and CC 39713 5170 46 these these DT 39713 5170 47 grand grand JJ 39713 5170 48 overturnings overturning NNS 39713 5170 49 aid aid VBP 39713 5170 50 us -PRON- PRP 39713 5170 51 the the DT 39713 5170 52 better well JJR 39713 5170 53 to to TO 39713 5170 54 see see VB 39713 5170 55 or or CC 39713 5170 56 the the DT 39713 5170 57 better well JJR 39713 5170 58 to to TO 39713 5170 59 understand understand VB 39713 5170 60 the the DT 39713 5170 61 little little JJ 39713 5170 62 changes change NNS 39713 5170 63 which which WDT 39713 5170 64 may may MD 39713 5170 65 happen happen VB 39713 5170 66 nearer nearer NN 39713 5170 67 to to IN 39713 5170 68 us -PRON- PRP 39713 5170 69 , , , 39713 5170 70 in in IN 39713 5170 71 the the DT 39713 5170 72 little little JJ 39713 5170 73 corner corner NN 39713 5170 74 of of IN 39713 5170 75 the the DT 39713 5170 76 world world NN 39713 5170 77 where where WRB 39713 5170 78 we -PRON- PRP 39713 5170 79 are be VBP 39713 5170 80 called call VBN 39713 5170 81 to to TO 39713 5170 82 live live VB 39713 5170 83 and and CC 39713 5170 84 act act VB 39713 5170 85 . . . 39713 5171 1 We -PRON- PRP 39713 5171 2 shall shall MD 39713 5171 3 better well RBR 39713 5171 4 know know VB 39713 5171 5 this this DT 39713 5171 6 corner corner NN 39713 5171 7 for for IN 39713 5171 8 having have VBG 39713 5171 9 traveled travel VBN 39713 5171 10 in in IN 39713 5171 11 distant distant JJ 39713 5171 12 countries country NNS 39713 5171 13 with with IN 39713 5171 14 which which WDT 39713 5171 15 we -PRON- PRP 39713 5171 16 have have VBP 39713 5171 17 nothing nothing NN 39713 5171 18 to to TO 39713 5171 19 do do VB 39713 5171 20 . . . 39713 5172 1 But but CC 39713 5172 2 what what WP 39713 5172 3 we -PRON- PRP 39713 5172 4 ought ought MD 39713 5172 5 to to TO 39713 5172 6 aim aim VB 39713 5172 7 at at IN 39713 5172 8 is be VBZ 39713 5172 9 less less JJR 39713 5172 10 the the DT 39713 5172 11 ascertainment ascertainment NN 39713 5172 12 of of IN 39713 5172 13 resemblances resemblance NNS 39713 5172 14 and and CC 39713 5172 15 differences difference NNS 39713 5172 16 than than IN 39713 5172 17 the the DT 39713 5172 18 recognition recognition NN 39713 5172 19 of of IN 39713 5172 20 likenesses likeness NNS 39713 5172 21 hidden hide VBN 39713 5172 22 under under IN 39713 5172 23 apparent apparent JJ 39713 5172 24 divergences divergence NNS 39713 5172 25 . . . 39713 5173 1 Particular particular JJ 39713 5173 2 rules rule NNS 39713 5173 3 seem seem VBP 39713 5173 4 at at IN 39713 5173 5 first first JJ 39713 5173 6 discordant discordant NN 39713 5173 7 , , , 39713 5173 8 but but CC 39713 5173 9 looking look VBG 39713 5173 10 more more RBR 39713 5173 11 closely closely RB 39713 5173 12 we -PRON- PRP 39713 5173 13 see see VBP 39713 5173 14 in in IN 39713 5173 15 general general JJ 39713 5173 16 that that IN 39713 5173 17 they -PRON- PRP 39713 5173 18 resemble resemble VBP 39713 5173 19 each each DT 39713 5173 20 other other JJ 39713 5173 21 ; ; : 39713 5173 22 different different JJ 39713 5173 23 as as IN 39713 5173 24 to to TO 39713 5173 25 matter matter NN 39713 5173 26 , , , 39713 5173 27 they -PRON- PRP 39713 5173 28 are be VBP 39713 5173 29 alike alike RB 39713 5173 30 as as IN 39713 5173 31 to to TO 39713 5173 32 form form VB 39713 5173 33 , , , 39713 5173 34 as as IN 39713 5173 35 to to IN 39713 5173 36 the the DT 39713 5173 37 order order NN 39713 5173 38 of of IN 39713 5173 39 their -PRON- PRP$ 39713 5173 40 parts part NNS 39713 5173 41 . . . 39713 5174 1 When when WRB 39713 5174 2 we -PRON- PRP 39713 5174 3 look look VBP 39713 5174 4 at at IN 39713 5174 5 them -PRON- PRP 39713 5174 6 with with IN 39713 5174 7 this this DT 39713 5174 8 bias bias NN 39713 5174 9 , , , 39713 5174 10 we -PRON- PRP 39713 5174 11 shall shall MD 39713 5174 12 see see VB 39713 5174 13 them -PRON- PRP 39713 5174 14 enlarge enlarge VB 39713 5174 15 and and CC 39713 5174 16 tend tend VB 39713 5174 17 to to TO 39713 5174 18 embrace embrace VB 39713 5174 19 everything everything NN 39713 5174 20 . . . 39713 5175 1 And and CC 39713 5175 2 this this DT 39713 5175 3 it -PRON- PRP 39713 5175 4 is be VBZ 39713 5175 5 which which WDT 39713 5175 6 makes make VBZ 39713 5175 7 the the DT 39713 5175 8 value value NN 39713 5175 9 of of IN 39713 5175 10 certain certain JJ 39713 5175 11 facts fact NNS 39713 5175 12 which which WDT 39713 5175 13 come come VBP 39713 5175 14 to to TO 39713 5175 15 complete complete VB 39713 5175 16 an an DT 39713 5175 17 assemblage assemblage NN 39713 5175 18 and and CC 39713 5175 19 to to TO 39713 5175 20 show show VB 39713 5175 21 that that IN 39713 5175 22 it -PRON- PRP 39713 5175 23 is be VBZ 39713 5175 24 the the DT 39713 5175 25 faithful faithful JJ 39713 5175 26 image image NN 39713 5175 27 of of IN 39713 5175 28 other other JJ 39713 5175 29 known know VBN 39713 5175 30 assemblages assemblage NNS 39713 5175 31 . . . 39713 5176 1 I -PRON- PRP 39713 5176 2 will will MD 39713 5176 3 not not RB 39713 5176 4 further further RB 39713 5176 5 insist insist VB 39713 5176 6 , , , 39713 5176 7 but but CC 39713 5176 8 these these DT 39713 5176 9 few few JJ 39713 5176 10 words word NNS 39713 5176 11 suffice suffice VBP 39713 5176 12 to to TO 39713 5176 13 show show VB 39713 5176 14 that that IN 39713 5176 15 the the DT 39713 5176 16 scientist scientist NN 39713 5176 17 does do VBZ 39713 5176 18 not not RB 39713 5176 19 choose choose VB 39713 5176 20 at at IN 39713 5176 21 random random JJ 39713 5176 22 the the DT 39713 5176 23 facts fact NNS 39713 5176 24 he -PRON- PRP 39713 5176 25 observes observe VBZ 39713 5176 26 . . . 39713 5177 1 He -PRON- PRP 39713 5177 2 does do VBZ 39713 5177 3 not not RB 39713 5177 4 , , , 39713 5177 5 as as IN 39713 5177 6 Tolstoi Tolstoi NNP 39713 5177 7 says say VBZ 39713 5177 8 , , , 39713 5177 9 count count VB 39713 5177 10 the the DT 39713 5177 11 lady lady NN 39713 5177 12 - - HYPH 39713 5177 13 bugs bug NNS 39713 5177 14 , , , 39713 5177 15 because because IN 39713 5177 16 , , , 39713 5177 17 however however RB 39713 5177 18 interesting interesting JJ 39713 5177 19 lady lady NN 39713 5177 20 - - HYPH 39713 5177 21 bugs bug NNS 39713 5177 22 may may MD 39713 5177 23 be be VB 39713 5177 24 , , , 39713 5177 25 their -PRON- PRP$ 39713 5177 26 number number NN 39713 5177 27 is be VBZ 39713 5177 28 subject subject JJ 39713 5177 29 to to IN 39713 5177 30 capricious capricious JJ 39713 5177 31 variations variation NNS 39713 5177 32 . . . 39713 5178 1 He -PRON- PRP 39713 5178 2 seeks seek VBZ 39713 5178 3 to to TO 39713 5178 4 condense condense VB 39713 5178 5 much much JJ 39713 5178 6 experience experience NN 39713 5178 7 and and CC 39713 5178 8 much much JJ 39713 5178 9 thought think VBD 39713 5178 10 into into IN 39713 5178 11 a a DT 39713 5178 12 slender slend JJR 39713 5178 13 volume volume NN 39713 5178 14 ; ; : 39713 5178 15 and and CC 39713 5178 16 that that DT 39713 5178 17 is be VBZ 39713 5178 18 why why WRB 39713 5178 19 a a DT 39713 5178 20 little little JJ 39713 5178 21 book book NN 39713 5178 22 on on IN 39713 5178 23 physics physics NN 39713 5178 24 contains contain VBZ 39713 5178 25 so so RB 39713 5178 26 many many JJ 39713 5178 27 past past JJ 39713 5178 28 experiences experience NNS 39713 5178 29 and and CC 39713 5178 30 a a DT 39713 5178 31 thousand thousand CD 39713 5178 32 times time NNS 39713 5178 33 as as IN 39713 5178 34 many many JJ 39713 5178 35 possible possible JJ 39713 5178 36 experiences experience NNS 39713 5178 37 whose whose WP$ 39713 5178 38 result result NN 39713 5178 39 is be VBZ 39713 5178 40 known know VBN 39713 5178 41 beforehand beforehand RB 39713 5178 42 . . . 39713 5179 1 But but CC 39713 5179 2 we -PRON- PRP 39713 5179 3 have have VBP 39713 5179 4 as as RB 39713 5179 5 yet yet RB 39713 5179 6 looked look VBN 39713 5179 7 at at IN 39713 5179 8 only only RB 39713 5179 9 one one CD 39713 5179 10 side side NN 39713 5179 11 of of IN 39713 5179 12 the the DT 39713 5179 13 question question NN 39713 5179 14 . . . 39713 5180 1 The the DT 39713 5180 2 scientist scientist NN 39713 5180 3 does do VBZ 39713 5180 4 not not RB 39713 5180 5 study study VB 39713 5180 6 nature nature NN 39713 5180 7 because because IN 39713 5180 8 it -PRON- PRP 39713 5180 9 is be VBZ 39713 5180 10 useful useful JJ 39713 5180 11 ; ; : 39713 5180 12 he -PRON- PRP 39713 5180 13 studies study VBZ 39713 5180 14 it -PRON- PRP 39713 5180 15 because because IN 39713 5180 16 he -PRON- PRP 39713 5180 17 delights delight VBZ 39713 5180 18 in in IN 39713 5180 19 it -PRON- PRP 39713 5180 20 , , , 39713 5180 21 and and CC 39713 5180 22 he -PRON- PRP 39713 5180 23 delights delight VBZ 39713 5180 24 in in IN 39713 5180 25 it -PRON- PRP 39713 5180 26 because because IN 39713 5180 27 it -PRON- PRP 39713 5180 28 is be VBZ 39713 5180 29 beautiful beautiful JJ 39713 5180 30 . . . 39713 5181 1 If if IN 39713 5181 2 nature nature NN 39713 5181 3 were be VBD 39713 5181 4 not not RB 39713 5181 5 beautiful beautiful JJ 39713 5181 6 , , , 39713 5181 7 it -PRON- PRP 39713 5181 8 would would MD 39713 5181 9 not not RB 39713 5181 10 be be VB 39713 5181 11 worth worth JJ 39713 5181 12 knowing know VBG 39713 5181 13 , , , 39713 5181 14 and and CC 39713 5181 15 if if IN 39713 5181 16 nature nature NN 39713 5181 17 were be VBD 39713 5181 18 not not RB 39713 5181 19 worth worth JJ 39713 5181 20 knowing know VBG 39713 5181 21 , , , 39713 5181 22 life life NN 39713 5181 23 would would MD 39713 5181 24 not not RB 39713 5181 25 be be VB 39713 5181 26 worth worth JJ 39713 5181 27 living live VBG 39713 5181 28 . . . 39713 5182 1 Of of RB 39713 5182 2 course course RB 39713 5182 3 I -PRON- PRP 39713 5182 4 do do VBP 39713 5182 5 not not RB 39713 5182 6 here here RB 39713 5182 7 speak speak VB 39713 5182 8 of of IN 39713 5182 9 that that DT 39713 5182 10 beauty beauty NN 39713 5182 11 which which WDT 39713 5182 12 strikes strike VBZ 39713 5182 13 the the DT 39713 5182 14 senses sense NNS 39713 5182 15 , , , 39713 5182 16 the the DT 39713 5182 17 beauty beauty NN 39713 5182 18 of of IN 39713 5182 19 qualities quality NNS 39713 5182 20 and and CC 39713 5182 21 of of IN 39713 5182 22 appearances appearance NNS 39713 5182 23 ; ; : 39713 5182 24 not not RB 39713 5182 25 that that IN 39713 5182 26 I -PRON- PRP 39713 5182 27 undervalue undervalue VBP 39713 5182 28 such such JJ 39713 5182 29 beauty beauty NN 39713 5182 30 , , , 39713 5182 31 far far RB 39713 5182 32 from from IN 39713 5182 33 it -PRON- PRP 39713 5182 34 , , , 39713 5182 35 but but CC 39713 5182 36 it -PRON- PRP 39713 5182 37 has have VBZ 39713 5182 38 nothing nothing NN 39713 5182 39 to to TO 39713 5182 40 do do VB 39713 5182 41 with with IN 39713 5182 42 science science NN 39713 5182 43 ; ; : 39713 5182 44 I -PRON- PRP 39713 5182 45 mean mean VBP 39713 5182 46 that that IN 39713 5182 47 profounder profounder NN 39713 5182 48 beauty beauty NN 39713 5182 49 which which WDT 39713 5182 50 comes come VBZ 39713 5182 51 from from IN 39713 5182 52 the the DT 39713 5182 53 harmonious harmonious JJ 39713 5182 54 order order NN 39713 5182 55 of of IN 39713 5182 56 the the DT 39713 5182 57 parts part NNS 39713 5182 58 and and CC 39713 5182 59 which which WDT 39713 5182 60 a a DT 39713 5182 61 pure pure JJ 39713 5182 62 intelligence intelligence NN 39713 5182 63 can can MD 39713 5182 64 grasp grasp VB 39713 5182 65 . . . 39713 5183 1 This this DT 39713 5183 2 it -PRON- PRP 39713 5183 3 is be VBZ 39713 5183 4 which which WDT 39713 5183 5 gives give VBZ 39713 5183 6 body body NN 39713 5183 7 , , , 39713 5183 8 a a DT 39713 5183 9 structure structure NN 39713 5183 10 so so IN 39713 5183 11 to to TO 39713 5183 12 speak speak VB 39713 5183 13 , , , 39713 5183 14 to to IN 39713 5183 15 the the DT 39713 5183 16 iridescent iridescent JJ 39713 5183 17 appearances appearance NNS 39713 5183 18 which which WDT 39713 5183 19 flatter flatter VBP 39713 5183 20 our -PRON- PRP$ 39713 5183 21 senses sense NNS 39713 5183 22 , , , 39713 5183 23 and and CC 39713 5183 24 without without IN 39713 5183 25 this this DT 39713 5183 26 support support NN 39713 5183 27 the the DT 39713 5183 28 beauty beauty NN 39713 5183 29 of of IN 39713 5183 30 these these DT 39713 5183 31 fugitive fugitive JJ 39713 5183 32 dreams dream NNS 39713 5183 33 would would MD 39713 5183 34 be be VB 39713 5183 35 only only RB 39713 5183 36 imperfect imperfect JJ 39713 5183 37 , , , 39713 5183 38 because because IN 39713 5183 39 it -PRON- PRP 39713 5183 40 would would MD 39713 5183 41 be be VB 39713 5183 42 vague vague JJ 39713 5183 43 and and CC 39713 5183 44 always always RB 39713 5183 45 fleeting fleeting JJ 39713 5183 46 . . . 39713 5184 1 On on IN 39713 5184 2 the the DT 39713 5184 3 contrary contrary JJ 39713 5184 4 , , , 39713 5184 5 intellectual intellectual JJ 39713 5184 6 beauty beauty NN 39713 5184 7 is be VBZ 39713 5184 8 sufficient sufficient JJ 39713 5184 9 unto unto IN 39713 5184 10 itself -PRON- PRP 39713 5184 11 , , , 39713 5184 12 and and CC 39713 5184 13 it -PRON- PRP 39713 5184 14 is be VBZ 39713 5184 15 for for IN 39713 5184 16 its -PRON- PRP$ 39713 5184 17 sake sake NN 39713 5184 18 , , , 39713 5184 19 more more RBR 39713 5184 20 perhaps perhaps RB 39713 5184 21 than than IN 39713 5184 22 for for IN 39713 5184 23 the the DT 39713 5184 24 future future JJ 39713 5184 25 good good NN 39713 5184 26 of of IN 39713 5184 27 humanity humanity NN 39713 5184 28 , , , 39713 5184 29 that that IN 39713 5184 30 the the DT 39713 5184 31 scientist scientist NN 39713 5184 32 devotes devote VBZ 39713 5184 33 himself -PRON- PRP 39713 5184 34 to to IN 39713 5184 35 long long JJ 39713 5184 36 and and CC 39713 5184 37 difficult difficult JJ 39713 5184 38 labors labor NNS 39713 5184 39 . . . 39713 5185 1 It -PRON- PRP 39713 5185 2 is be VBZ 39713 5185 3 , , , 39713 5185 4 therefore therefore RB 39713 5185 5 , , , 39713 5185 6 the the DT 39713 5185 7 quest quest NN 39713 5185 8 of of IN 39713 5185 9 this this DT 39713 5185 10 especial especial JJ 39713 5185 11 beauty beauty NN 39713 5185 12 , , , 39713 5185 13 the the DT 39713 5185 14 sense sense NN 39713 5185 15 of of IN 39713 5185 16 the the DT 39713 5185 17 harmony harmony NN 39713 5185 18 of of IN 39713 5185 19 the the DT 39713 5185 20 cosmos cosmo NNS 39713 5185 21 , , , 39713 5185 22 which which WDT 39713 5185 23 makes make VBZ 39713 5185 24 us -PRON- PRP 39713 5185 25 choose choose VB 39713 5185 26 the the DT 39713 5185 27 facts fact NNS 39713 5185 28 most most RBS 39713 5185 29 fitting fitting JJ 39713 5185 30 to to TO 39713 5185 31 contribute contribute VB 39713 5185 32 to to IN 39713 5185 33 this this DT 39713 5185 34 harmony harmony NN 39713 5185 35 , , , 39713 5185 36 just just RB 39713 5185 37 as as IN 39713 5185 38 the the DT 39713 5185 39 artist artist NN 39713 5185 40 chooses choose VBZ 39713 5185 41 from from IN 39713 5185 42 among among IN 39713 5185 43 the the DT 39713 5185 44 features feature NNS 39713 5185 45 of of IN 39713 5185 46 his -PRON- PRP$ 39713 5185 47 model model NN 39713 5185 48 those those DT 39713 5185 49 which which WDT 39713 5185 50 perfect perfect VBP 39713 5185 51 the the DT 39713 5185 52 picture picture NN 39713 5185 53 and and CC 39713 5185 54 give give VB 39713 5185 55 it -PRON- PRP 39713 5185 56 character character NN 39713 5185 57 and and CC 39713 5185 58 life life NN 39713 5185 59 . . . 39713 5186 1 And and CC 39713 5186 2 we -PRON- PRP 39713 5186 3 need need VBP 39713 5186 4 not not RB 39713 5186 5 fear fear VB 39713 5186 6 that that IN 39713 5186 7 this this DT 39713 5186 8 instinctive instinctive JJ 39713 5186 9 and and CC 39713 5186 10 unavowed unavowed JJ 39713 5186 11 prepossession prepossession NN 39713 5186 12 will will MD 39713 5186 13 turn turn VB 39713 5186 14 the the DT 39713 5186 15 scientist scientist NN 39713 5186 16 aside aside RB 39713 5186 17 from from IN 39713 5186 18 the the DT 39713 5186 19 search search NN 39713 5186 20 for for IN 39713 5186 21 the the DT 39713 5186 22 true true JJ 39713 5186 23 . . . 39713 5187 1 One one PRP 39713 5187 2 may may MD 39713 5187 3 dream dream VB 39713 5187 4 a a DT 39713 5187 5 harmonious harmonious JJ 39713 5187 6 world world NN 39713 5187 7 , , , 39713 5187 8 but but CC 39713 5187 9 how how WRB 39713 5187 10 far far RB 39713 5187 11 the the DT 39713 5187 12 real real JJ 39713 5187 13 world world NN 39713 5187 14 will will MD 39713 5187 15 leave leave VB 39713 5187 16 it -PRON- PRP 39713 5187 17 behind behind RB 39713 5187 18 ! ! . 39713 5188 1 The the DT 39713 5188 2 greatest great JJS 39713 5188 3 artists artist NNS 39713 5188 4 that that WDT 39713 5188 5 ever ever RB 39713 5188 6 lived live VBD 39713 5188 7 , , , 39713 5188 8 the the DT 39713 5188 9 Greeks Greeks NNPS 39713 5188 10 , , , 39713 5188 11 made make VBD 39713 5188 12 their -PRON- PRP$ 39713 5188 13 heavens heaven NNS 39713 5188 14 ; ; : 39713 5188 15 how how WRB 39713 5188 16 shabby shabby JJ 39713 5188 17 it -PRON- PRP 39713 5188 18 is be VBZ 39713 5188 19 beside beside IN 39713 5188 20 the the DT 39713 5188 21 true true JJ 39713 5188 22 heavens heaven NNS 39713 5188 23 , , , 39713 5188 24 ours ours PRP$ 39713 5188 25 ! ! . 39713 5189 1 And and CC 39713 5189 2 it -PRON- PRP 39713 5189 3 is be VBZ 39713 5189 4 because because IN 39713 5189 5 simplicity simplicity NN 39713 5189 6 , , , 39713 5189 7 because because IN 39713 5189 8 grandeur grandeur NN 39713 5189 9 , , , 39713 5189 10 is be VBZ 39713 5189 11 beautiful beautiful JJ 39713 5189 12 , , , 39713 5189 13 that that IN 39713 5189 14 we -PRON- PRP 39713 5189 15 preferably preferably RB 39713 5189 16 seek seek VBP 39713 5189 17 simple simple JJ 39713 5189 18 facts fact NNS 39713 5189 19 , , , 39713 5189 20 sublime sublime JJ 39713 5189 21 facts fact NNS 39713 5189 22 , , , 39713 5189 23 that that IN 39713 5189 24 we -PRON- PRP 39713 5189 25 delight delight VBP 39713 5189 26 now now RB 39713 5189 27 to to TO 39713 5189 28 follow follow VB 39713 5189 29 the the DT 39713 5189 30 majestic majestic JJ 39713 5189 31 course course NN 39713 5189 32 of of IN 39713 5189 33 the the DT 39713 5189 34 stars star NNS 39713 5189 35 , , , 39713 5189 36 now now RB 39713 5189 37 to to TO 39713 5189 38 examine examine VB 39713 5189 39 with with IN 39713 5189 40 the the DT 39713 5189 41 microscope microscope NN 39713 5189 42 that that IN 39713 5189 43 prodigious prodigious JJ 39713 5189 44 littleness littleness NN 39713 5189 45 which which WDT 39713 5189 46 is be VBZ 39713 5189 47 also also RB 39713 5189 48 a a DT 39713 5189 49 grandeur grandeur NN 39713 5189 50 , , , 39713 5189 51 now now RB 39713 5189 52 to to TO 39713 5189 53 seek seek VB 39713 5189 54 in in IN 39713 5189 55 geologic geologic NN 39713 5189 56 time time NN 39713 5189 57 the the DT 39713 5189 58 traces trace NNS 39713 5189 59 of of IN 39713 5189 60 a a DT 39713 5189 61 past past NN 39713 5189 62 which which WDT 39713 5189 63 attracts attract VBZ 39713 5189 64 because because IN 39713 5189 65 it -PRON- PRP 39713 5189 66 is be VBZ 39713 5189 67 far far RB 39713 5189 68 away away RB 39713 5189 69 . . . 39713 5190 1 We -PRON- PRP 39713 5190 2 see see VBP 39713 5190 3 too too RB 39713 5190 4 that that IN 39713 5190 5 the the DT 39713 5190 6 longing longing NN 39713 5190 7 for for IN 39713 5190 8 the the DT 39713 5190 9 beautiful beautiful JJ 39713 5190 10 leads lead VBZ 39713 5190 11 us -PRON- PRP 39713 5190 12 to to IN 39713 5190 13 the the DT 39713 5190 14 same same JJ 39713 5190 15 choice choice NN 39713 5190 16 as as IN 39713 5190 17 the the DT 39713 5190 18 longing longing NN 39713 5190 19 for for IN 39713 5190 20 the the DT 39713 5190 21 useful useful JJ 39713 5190 22 . . . 39713 5191 1 And and CC 39713 5191 2 so so RB 39713 5191 3 it -PRON- PRP 39713 5191 4 is be VBZ 39713 5191 5 that that IN 39713 5191 6 this this DT 39713 5191 7 economy economy NN 39713 5191 8 of of IN 39713 5191 9 thought thought NN 39713 5191 10 , , , 39713 5191 11 this this DT 39713 5191 12 economy economy NN 39713 5191 13 of of IN 39713 5191 14 effort effort NN 39713 5191 15 , , , 39713 5191 16 which which WDT 39713 5191 17 is be VBZ 39713 5191 18 , , , 39713 5191 19 according accord VBG 39713 5191 20 to to IN 39713 5191 21 Mach Mach NNP 39713 5191 22 , , , 39713 5191 23 the the DT 39713 5191 24 constant constant JJ 39713 5191 25 tendency tendency NN 39713 5191 26 of of IN 39713 5191 27 science science NN 39713 5191 28 , , , 39713 5191 29 is be VBZ 39713 5191 30 at at IN 39713 5191 31 the the DT 39713 5191 32 same same JJ 39713 5191 33 time time NN 39713 5191 34 a a DT 39713 5191 35 source source NN 39713 5191 36 of of IN 39713 5191 37 beauty beauty NN 39713 5191 38 and and CC 39713 5191 39 a a DT 39713 5191 40 practical practical JJ 39713 5191 41 advantage advantage NN 39713 5191 42 . . . 39713 5192 1 The the DT 39713 5192 2 edifices edifice NNS 39713 5192 3 that that WDT 39713 5192 4 we -PRON- PRP 39713 5192 5 admire admire VBP 39713 5192 6 are be VBP 39713 5192 7 those those DT 39713 5192 8 where where WRB 39713 5192 9 the the DT 39713 5192 10 architect architect NN 39713 5192 11 has have VBZ 39713 5192 12 known know VBN 39713 5192 13 how how WRB 39713 5192 14 to to TO 39713 5192 15 proportion proportion VB 39713 5192 16 the the DT 39713 5192 17 means mean NNS 39713 5192 18 to to IN 39713 5192 19 the the DT 39713 5192 20 end end NN 39713 5192 21 , , , 39713 5192 22 where where WRB 39713 5192 23 the the DT 39713 5192 24 columns column NNS 39713 5192 25 seem seem VBP 39713 5192 26 to to TO 39713 5192 27 carry carry VB 39713 5192 28 gaily gaily RB 39713 5192 29 , , , 39713 5192 30 without without IN 39713 5192 31 effort effort NN 39713 5192 32 , , , 39713 5192 33 the the DT 39713 5192 34 weight weight NN 39713 5192 35 placed place VBN 39713 5192 36 upon upon IN 39713 5192 37 them -PRON- PRP 39713 5192 38 , , , 39713 5192 39 like like IN 39713 5192 40 the the DT 39713 5192 41 gracious gracious JJ 39713 5192 42 caryatids caryatid NNS 39713 5192 43 of of IN 39713 5192 44 the the DT 39713 5192 45 Erechtheum Erechtheum NNP 39713 5192 46 . . . 39713 5193 1 Whence whence NN 39713 5193 2 comes come VBZ 39713 5193 3 this this DT 39713 5193 4 concordance concordance NN 39713 5193 5 ? ? . 39713 5194 1 Is be VBZ 39713 5194 2 it -PRON- PRP 39713 5194 3 simply simply RB 39713 5194 4 that that IN 39713 5194 5 the the DT 39713 5194 6 things thing NNS 39713 5194 7 which which WDT 39713 5194 8 seem seem VBP 39713 5194 9 to to IN 39713 5194 10 us -PRON- PRP 39713 5194 11 beautiful beautiful JJ 39713 5194 12 are be VBP 39713 5194 13 those those DT 39713 5194 14 which which WDT 39713 5194 15 best good JJS 39713 5194 16 adapt adapt VBP 39713 5194 17 themselves -PRON- PRP 39713 5194 18 to to IN 39713 5194 19 our -PRON- PRP$ 39713 5194 20 intelligence intelligence NN 39713 5194 21 , , , 39713 5194 22 and and CC 39713 5194 23 that that IN 39713 5194 24 consequently consequently RB 39713 5194 25 they -PRON- PRP 39713 5194 26 are be VBP 39713 5194 27 at at IN 39713 5194 28 the the DT 39713 5194 29 same same JJ 39713 5194 30 time time NN 39713 5194 31 the the DT 39713 5194 32 implement implement NN 39713 5194 33 this this DT 39713 5194 34 intelligence intelligence NN 39713 5194 35 knows know VBZ 39713 5194 36 best well RBS 39713 5194 37 how how WRB 39713 5194 38 to to TO 39713 5194 39 use use VB 39713 5194 40 ? ? . 39713 5195 1 Or or CC 39713 5195 2 is be VBZ 39713 5195 3 there there EX 39713 5195 4 here here RB 39713 5195 5 a a DT 39713 5195 6 play play NN 39713 5195 7 of of IN 39713 5195 8 evolution evolution NN 39713 5195 9 and and CC 39713 5195 10 natural natural JJ 39713 5195 11 selection selection NN 39713 5195 12 ? ? . 39713 5196 1 Have have VBP 39713 5196 2 the the DT 39713 5196 3 peoples people NNS 39713 5196 4 whose whose WP$ 39713 5196 5 ideal ideal NN 39713 5196 6 most most RBS 39713 5196 7 conformed conform VBD 39713 5196 8 to to IN 39713 5196 9 their -PRON- PRP$ 39713 5196 10 highest high JJS 39713 5196 11 interest interest NN 39713 5196 12 exterminated exterminate VBD 39713 5196 13 the the DT 39713 5196 14 others other NNS 39713 5196 15 and and CC 39713 5196 16 taken take VBN 39713 5196 17 their -PRON- PRP$ 39713 5196 18 place place NN 39713 5196 19 ? ? . 39713 5197 1 All all DT 39713 5197 2 pursued pursue VBD 39713 5197 3 their -PRON- PRP$ 39713 5197 4 ideals ideal NNS 39713 5197 5 without without IN 39713 5197 6 reference reference NN 39713 5197 7 to to IN 39713 5197 8 consequences consequence NNS 39713 5197 9 , , , 39713 5197 10 but but CC 39713 5197 11 while while IN 39713 5197 12 this this DT 39713 5197 13 quest quest NN 39713 5197 14 led lead VBD 39713 5197 15 some some DT 39713 5197 16 to to IN 39713 5197 17 destruction destruction NN 39713 5197 18 , , , 39713 5197 19 to to IN 39713 5197 20 others other NNS 39713 5197 21 it -PRON- PRP 39713 5197 22 gave give VBD 39713 5197 23 empire empire NN 39713 5197 24 . . . 39713 5198 1 One one CD 39713 5198 2 is be VBZ 39713 5198 3 tempted tempt VBN 39713 5198 4 to to TO 39713 5198 5 believe believe VB 39713 5198 6 it -PRON- PRP 39713 5198 7 . . . 39713 5199 1 If if IN 39713 5199 2 the the DT 39713 5199 3 Greeks Greeks NNPS 39713 5199 4 triumphed triumph VBD 39713 5199 5 over over IN 39713 5199 6 the the DT 39713 5199 7 barbarians barbarian NNS 39713 5199 8 and and CC 39713 5199 9 if if IN 39713 5199 10 Europe Europe NNP 39713 5199 11 , , , 39713 5199 12 heir heir NN 39713 5199 13 of of IN 39713 5199 14 Greek Greek NNP 39713 5199 15 thought thought NN 39713 5199 16 , , , 39713 5199 17 dominates dominate VBZ 39713 5199 18 the the DT 39713 5199 19 world world NN 39713 5199 20 , , , 39713 5199 21 it -PRON- PRP 39713 5199 22 is be VBZ 39713 5199 23 because because IN 39713 5199 24 the the DT 39713 5199 25 savages savage NNS 39713 5199 26 loved love VBD 39713 5199 27 loud loud JJ 39713 5199 28 colors color NNS 39713 5199 29 and and CC 39713 5199 30 the the DT 39713 5199 31 clamorous clamorous JJ 39713 5199 32 tones tone NNS 39713 5199 33 of of IN 39713 5199 34 the the DT 39713 5199 35 drum drum NN 39713 5199 36 which which WDT 39713 5199 37 occupied occupy VBD 39713 5199 38 only only RB 39713 5199 39 their -PRON- PRP$ 39713 5199 40 senses sense NNS 39713 5199 41 , , , 39713 5199 42 while while IN 39713 5199 43 the the DT 39713 5199 44 Greeks Greeks NNPS 39713 5199 45 loved love VBD 39713 5199 46 the the DT 39713 5199 47 intellectual intellectual JJ 39713 5199 48 beauty beauty NN 39713 5199 49 which which WDT 39713 5199 50 hides hide VBZ 39713 5199 51 beneath beneath IN 39713 5199 52 sensuous sensuous JJ 39713 5199 53 beauty beauty NN 39713 5199 54 , , , 39713 5199 55 and and CC 39713 5199 56 this this DT 39713 5199 57 intellectual intellectual JJ 39713 5199 58 beauty beauty NN 39713 5199 59 it -PRON- PRP 39713 5199 60 is be VBZ 39713 5199 61 which which WDT 39713 5199 62 makes make VBZ 39713 5199 63 intelligence intelligence NN 39713 5199 64 sure sure JJ 39713 5199 65 and and CC 39713 5199 66 strong strong JJ 39713 5199 67 . . . 39713 5200 1 Doubtless doubtless IN 39713 5200 2 such such PDT 39713 5200 3 a a DT 39713 5200 4 triumph triumph NN 39713 5200 5 would would MD 39713 5200 6 horrify horrify VB 39713 5200 7 Tolstoi Tolstoi NNP 39713 5200 8 , , , 39713 5200 9 and and CC 39713 5200 10 he -PRON- PRP 39713 5200 11 would would MD 39713 5200 12 not not RB 39713 5200 13 like like VB 39713 5200 14 to to TO 39713 5200 15 acknowledge acknowledge VB 39713 5200 16 that that IN 39713 5200 17 it -PRON- PRP 39713 5200 18 might may MD 39713 5200 19 be be VB 39713 5200 20 truly truly RB 39713 5200 21 useful useful JJ 39713 5200 22 . . . 39713 5201 1 But but CC 39713 5201 2 this this DT 39713 5201 3 disinterested disinterested JJ 39713 5201 4 quest quest NN 39713 5201 5 of of IN 39713 5201 6 the the DT 39713 5201 7 true true JJ 39713 5201 8 for for IN 39713 5201 9 its -PRON- PRP$ 39713 5201 10 own own JJ 39713 5201 11 beauty beauty NN 39713 5201 12 is be VBZ 39713 5201 13 sane sane JJ 39713 5201 14 also also RB 39713 5201 15 and and CC 39713 5201 16 able able JJ 39713 5201 17 to to TO 39713 5201 18 make make VB 39713 5201 19 man man NN 39713 5201 20 better well RBR 39713 5201 21 . . . 39713 5202 1 I -PRON- PRP 39713 5202 2 well well RB 39713 5202 3 know know VBP 39713 5202 4 that that IN 39713 5202 5 there there EX 39713 5202 6 are be VBP 39713 5202 7 mistakes mistake NNS 39713 5202 8 , , , 39713 5202 9 that that IN 39713 5202 10 the the DT 39713 5202 11 thinker thinker NN 39713 5202 12 does do VBZ 39713 5202 13 not not RB 39713 5202 14 always always RB 39713 5202 15 draw draw VB 39713 5202 16 thence thence NN 39713 5202 17 the the DT 39713 5202 18 serenity serenity NN 39713 5202 19 he -PRON- PRP 39713 5202 20 should should MD 39713 5202 21 find find VB 39713 5202 22 therein therein RB 39713 5202 23 , , , 39713 5202 24 and and CC 39713 5202 25 even even RB 39713 5202 26 that that IN 39713 5202 27 there there EX 39713 5202 28 are be VBP 39713 5202 29 scientists scientist NNS 39713 5202 30 of of IN 39713 5202 31 bad bad JJ 39713 5202 32 character character NN 39713 5202 33 . . . 39713 5203 1 Must Must MD 39713 5203 2 we -PRON- PRP 39713 5203 3 , , , 39713 5203 4 therefore therefore RB 39713 5203 5 , , , 39713 5203 6 abandon abandon VB 39713 5203 7 science science NN 39713 5203 8 and and CC 39713 5203 9 study study VB 39713 5203 10 only only RB 39713 5203 11 morals moral NNS 39713 5203 12 ? ? . 39713 5204 1 What what WP 39713 5204 2 ! ! . 39713 5205 1 Do do VBP 39713 5205 2 you -PRON- PRP 39713 5205 3 think think VB 39713 5205 4 the the DT 39713 5205 5 moralists moralist NNS 39713 5205 6 themselves -PRON- PRP 39713 5205 7 are be VBP 39713 5205 8 irreproachable irreproachable JJ 39713 5205 9 when when WRB 39713 5205 10 they -PRON- PRP 39713 5205 11 come come VBP 39713 5205 12 down down RP 39713 5205 13 from from IN 39713 5205 14 their -PRON- PRP$ 39713 5205 15 pedestal pedestal NN 39713 5205 16 ? ? . 39713 5206 1 CHAPTER CHAPTER NNP 39713 5206 2 II II NNP 39713 5206 3 THE the DT 39713 5206 4 FUTURE future NN 39713 5206 5 OF of IN 39713 5206 6 MATHEMATICS mathematic NNS 39713 5206 7 To to TO 39713 5206 8 foresee foresee VB 39713 5206 9 the the DT 39713 5206 10 future future NN 39713 5206 11 of of IN 39713 5206 12 mathematics mathematic NNS 39713 5206 13 , , , 39713 5206 14 the the DT 39713 5206 15 true true JJ 39713 5206 16 method method NN 39713 5206 17 is be VBZ 39713 5206 18 to to TO 39713 5206 19 study study VB 39713 5206 20 its -PRON- PRP$ 39713 5206 21 history history NN 39713 5206 22 and and CC 39713 5206 23 its -PRON- PRP$ 39713 5206 24 present present JJ 39713 5206 25 state state NN 39713 5206 26 . . . 39713 5207 1 Is be VBZ 39713 5207 2 this this DT 39713 5207 3 not not RB 39713 5207 4 for for IN 39713 5207 5 us us NNP 39713 5207 6 mathematicians mathematician NNS 39713 5207 7 in in IN 39713 5207 8 a a DT 39713 5207 9 way way NN 39713 5207 10 a a DT 39713 5207 11 professional professional JJ 39713 5207 12 procedure procedure NN 39713 5207 13 ? ? . 39713 5208 1 We -PRON- PRP 39713 5208 2 are be VBP 39713 5208 3 accustomed accustomed JJ 39713 5208 4 to to IN 39713 5208 5 _ _ NNP 39713 5208 6 extrapolate extrapolate JJ 39713 5208 7 _ _ NNP 39713 5208 8 , , , 39713 5208 9 which which WDT 39713 5208 10 is be VBZ 39713 5208 11 a a DT 39713 5208 12 means means NN 39713 5208 13 of of IN 39713 5208 14 deducing deduce VBG 39713 5208 15 the the DT 39713 5208 16 future future NN 39713 5208 17 from from IN 39713 5208 18 the the DT 39713 5208 19 past past NN 39713 5208 20 and and CC 39713 5208 21 present present JJ 39713 5208 22 , , , 39713 5208 23 and and CC 39713 5208 24 as as IN 39713 5208 25 we -PRON- PRP 39713 5208 26 well well RB 39713 5208 27 know know VBP 39713 5208 28 what what WP 39713 5208 29 this this DT 39713 5208 30 amounts amount VBZ 39713 5208 31 to to IN 39713 5208 32 , , , 39713 5208 33 we -PRON- PRP 39713 5208 34 run run VBP 39713 5208 35 no no DT 39713 5208 36 risk risk NN 39713 5208 37 of of IN 39713 5208 38 deceiving deceive VBG 39713 5208 39 ourselves -PRON- PRP 39713 5208 40 about about IN 39713 5208 41 the the DT 39713 5208 42 range range NN 39713 5208 43 of of IN 39713 5208 44 the the DT 39713 5208 45 results result NNS 39713 5208 46 it -PRON- PRP 39713 5208 47 gives give VBZ 39713 5208 48 us -PRON- PRP 39713 5208 49 . . . 39713 5209 1 We -PRON- PRP 39713 5209 2 have have VBP 39713 5209 3 had have VBN 39713 5209 4 hitherto hitherto VBN 39713 5209 5 prophets prophet NNS 39713 5209 6 of of IN 39713 5209 7 evil evil NN 39713 5209 8 . . . 39713 5210 1 They -PRON- PRP 39713 5210 2 blithely blithely RB 39713 5210 3 reiterate reiterate VBP 39713 5210 4 that that IN 39713 5210 5 all all DT 39713 5210 6 problems problem NNS 39713 5210 7 capable capable JJ 39713 5210 8 of of IN 39713 5210 9 solution solution NN 39713 5210 10 have have VBP 39713 5210 11 already already RB 39713 5210 12 been be VBN 39713 5210 13 solved solve VBN 39713 5210 14 , , , 39713 5210 15 and and CC 39713 5210 16 that that IN 39713 5210 17 nothing nothing NN 39713 5210 18 is be VBZ 39713 5210 19 left leave VBN 39713 5210 20 but but CC 39713 5210 21 gleaning glean VBG 39713 5210 22 . . . 39713 5211 1 Happily happily RB 39713 5211 2 the the DT 39713 5211 3 case case NN 39713 5211 4 of of IN 39713 5211 5 the the DT 39713 5211 6 past past NN 39713 5211 7 reassures reassure VBZ 39713 5211 8 us -PRON- PRP 39713 5211 9 . . . 39713 5212 1 Often often RB 39713 5212 2 it -PRON- PRP 39713 5212 3 was be VBD 39713 5212 4 thought think VBN 39713 5212 5 all all DT 39713 5212 6 problems problem NNS 39713 5212 7 were be VBD 39713 5212 8 solved solve VBN 39713 5212 9 or or CC 39713 5212 10 at at IN 39713 5212 11 least least JJS 39713 5212 12 an an DT 39713 5212 13 inventory inventory NN 39713 5212 14 was be VBD 39713 5212 15 made make VBN 39713 5212 16 of of IN 39713 5212 17 all all DT 39713 5212 18 admitting admit VBG 39713 5212 19 solution solution NN 39713 5212 20 . . . 39713 5213 1 And and CC 39713 5213 2 then then RB 39713 5213 3 the the DT 39713 5213 4 sense sense NN 39713 5213 5 of of IN 39713 5213 6 the the DT 39713 5213 7 word word NN 39713 5213 8 solution solution NN 39713 5213 9 enlarged enlarge VBD 39713 5213 10 , , , 39713 5213 11 the the DT 39713 5213 12 insoluble insoluble JJ 39713 5213 13 problems problem NNS 39713 5213 14 became become VBD 39713 5213 15 the the DT 39713 5213 16 most most RBS 39713 5213 17 interesting interesting JJ 39713 5213 18 of of IN 39713 5213 19 all all DT 39713 5213 20 , , , 39713 5213 21 and and CC 39713 5213 22 others other NNS 39713 5213 23 unforeseen unforeseen JJ 39713 5213 24 presented present VBD 39713 5213 25 themselves -PRON- PRP 39713 5213 26 . . . 39713 5214 1 For for IN 39713 5214 2 the the DT 39713 5214 3 Greeks Greeks NNPS 39713 5214 4 a a DT 39713 5214 5 good good JJ 39713 5214 6 solution solution NN 39713 5214 7 was be VBD 39713 5214 8 one one CD 39713 5214 9 employing employ VBG 39713 5214 10 only only JJ 39713 5214 11 ruler ruler NN 39713 5214 12 and and CC 39713 5214 13 compasses compass NNS 39713 5214 14 ; ; : 39713 5214 15 then then RB 39713 5214 16 it -PRON- PRP 39713 5214 17 became become VBD 39713 5214 18 one one CD 39713 5214 19 obtained obtain VBN 39713 5214 20 by by IN 39713 5214 21 the the DT 39713 5214 22 extraction extraction NN 39713 5214 23 of of IN 39713 5214 24 roots root NNS 39713 5214 25 , , , 39713 5214 26 then then RB 39713 5214 27 one one CD 39713 5214 28 using use VBG 39713 5214 29 only only JJ 39713 5214 30 algebraic algebraic NN 39713 5214 31 or or CC 39713 5214 32 logarithmic logarithmic JJ 39713 5214 33 functions function NNS 39713 5214 34 . . . 39713 5215 1 The the DT 39713 5215 2 pessimists pessimist NNS 39713 5215 3 thus thus RB 39713 5215 4 found find VBD 39713 5215 5 themselves -PRON- PRP 39713 5215 6 always always RB 39713 5215 7 outflanked outflanked JJ 39713 5215 8 , , , 39713 5215 9 always always RB 39713 5215 10 forced force VBN 39713 5215 11 to to TO 39713 5215 12 retreat retreat VB 39713 5215 13 , , , 39713 5215 14 so so IN 39713 5215 15 that that IN 39713 5215 16 at at IN 39713 5215 17 present present NN 39713 5215 18 I -PRON- PRP 39713 5215 19 think think VBP 39713 5215 20 there there EX 39713 5215 21 are be VBP 39713 5215 22 no no RB 39713 5215 23 more more JJR 39713 5215 24 . . . 39713 5216 1 My -PRON- PRP$ 39713 5216 2 intention intention NN 39713 5216 3 , , , 39713 5216 4 therefore therefore RB 39713 5216 5 , , , 39713 5216 6 is be VBZ 39713 5216 7 not not RB 39713 5216 8 to to TO 39713 5216 9 combat combat VB 39713 5216 10 them -PRON- PRP 39713 5216 11 , , , 39713 5216 12 as as IN 39713 5216 13 they -PRON- PRP 39713 5216 14 are be VBP 39713 5216 15 dead dead JJ 39713 5216 16 ; ; : 39713 5216 17 we -PRON- PRP 39713 5216 18 well well RB 39713 5216 19 know know VBP 39713 5216 20 that that IN 39713 5216 21 mathematics mathematic NNS 39713 5216 22 will will MD 39713 5216 23 continue continue VB 39713 5216 24 to to TO 39713 5216 25 develop develop VB 39713 5216 26 , , , 39713 5216 27 but but CC 39713 5216 28 the the DT 39713 5216 29 question question NN 39713 5216 30 is be VBZ 39713 5216 31 how how WRB 39713 5216 32 , , , 39713 5216 33 in in IN 39713 5216 34 what what WDT 39713 5216 35 direction direction NN 39713 5216 36 ? ? . 39713 5217 1 You -PRON- PRP 39713 5217 2 will will MD 39713 5217 3 answer answer VB 39713 5217 4 , , , 39713 5217 5 ' ' '' 39713 5217 6 in in IN 39713 5217 7 every every DT 39713 5217 8 direction direction NN 39713 5217 9 , , , 39713 5217 10 ' ' '' 39713 5217 11 and and CC 39713 5217 12 that that DT 39713 5217 13 is be VBZ 39713 5217 14 partly partly RB 39713 5217 15 true true JJ 39713 5217 16 ; ; : 39713 5217 17 but but CC 39713 5217 18 if if IN 39713 5217 19 it -PRON- PRP 39713 5217 20 were be VBD 39713 5217 21 wholly wholly RB 39713 5217 22 true true JJ 39713 5217 23 it -PRON- PRP 39713 5217 24 would would MD 39713 5217 25 be be VB 39713 5217 26 a a DT 39713 5217 27 little little JJ 39713 5217 28 appalling appalling JJ 39713 5217 29 . . . 39713 5218 1 Our -PRON- PRP$ 39713 5218 2 riches riches NN 39713 5218 3 would would MD 39713 5218 4 soon soon RB 39713 5218 5 become become VB 39713 5218 6 encumbering encumber VBG 39713 5218 7 and and CC 39713 5218 8 their -PRON- PRP$ 39713 5218 9 accumulation accumulation NN 39713 5218 10 would would MD 39713 5218 11 produce produce VB 39713 5218 12 a a DT 39713 5218 13 medley medley NN 39713 5218 14 as as RB 39713 5218 15 impenetrable impenetrable JJ 39713 5218 16 as as IN 39713 5218 17 the the DT 39713 5218 18 unknown unknown JJ 39713 5218 19 true true NN 39713 5218 20 was be VBD 39713 5218 21 for for IN 39713 5218 22 the the DT 39713 5218 23 ignorant ignorant JJ 39713 5218 24 . . . 39713 5219 1 The the DT 39713 5219 2 historian historian NN 39713 5219 3 , , , 39713 5219 4 the the DT 39713 5219 5 physicist physicist NN 39713 5219 6 , , , 39713 5219 7 even even RB 39713 5219 8 , , , 39713 5219 9 must must MD 39713 5219 10 make make VB 39713 5219 11 a a DT 39713 5219 12 choice choice NN 39713 5219 13 among among IN 39713 5219 14 facts fact NNS 39713 5219 15 ; ; : 39713 5219 16 the the DT 39713 5219 17 head head NN 39713 5219 18 of of IN 39713 5219 19 the the DT 39713 5219 20 scientist scientist NN 39713 5219 21 , , , 39713 5219 22 which which WDT 39713 5219 23 is be VBZ 39713 5219 24 only only RB 39713 5219 25 a a DT 39713 5219 26 corner corner NN 39713 5219 27 of of IN 39713 5219 28 the the DT 39713 5219 29 universe universe NN 39713 5219 30 , , , 39713 5219 31 could could MD 39713 5219 32 never never RB 39713 5219 33 contain contain VB 39713 5219 34 the the DT 39713 5219 35 universe universe NN 39713 5219 36 entire entire JJ 39713 5219 37 ; ; : 39713 5219 38 so so IN 39713 5219 39 that that IN 39713 5219 40 among among IN 39713 5219 41 the the DT 39713 5219 42 innumerable innumerable JJ 39713 5219 43 facts fact NNS 39713 5219 44 nature nature NN 39713 5219 45 offers offer VBZ 39713 5219 46 , , , 39713 5219 47 some some DT 39713 5219 48 will will MD 39713 5219 49 be be VB 39713 5219 50 passed pass VBN 39713 5219 51 by by RP 39713 5219 52 , , , 39713 5219 53 others other NNS 39713 5219 54 retained retain VBD 39713 5219 55 . . . 39713 5220 1 Just just RB 39713 5220 2 so so RB 39713 5220 3 , , , 39713 5220 4 _ _ NNP 39713 5220 5 a a DT 39713 5220 6 fortiori fortiori NN 39713 5220 7 _ _ NNP 39713 5220 8 , , , 39713 5220 9 in in IN 39713 5220 10 mathematics mathematic NNS 39713 5220 11 ; ; : 39713 5220 12 no no DT 39713 5220 13 more more RBR 39713 5220 14 can can MD 39713 5220 15 the the DT 39713 5220 16 geometer geometer NN 39713 5220 17 hold hold VB 39713 5220 18 fast fast JJ 39713 5220 19 pell pell NNP 39713 5220 20 - - HYPH 39713 5220 21 mell mell NNP 39713 5220 22 all all PDT 39713 5220 23 the the DT 39713 5220 24 facts fact NNS 39713 5220 25 presenting present VBG 39713 5220 26 themselves -PRON- PRP 39713 5220 27 to to IN 39713 5220 28 him -PRON- PRP 39713 5220 29 ; ; : 39713 5220 30 all all PDT 39713 5220 31 the the DT 39713 5220 32 more more JJR 39713 5220 33 because because IN 39713 5220 34 he -PRON- PRP 39713 5220 35 it -PRON- PRP 39713 5220 36 is be VBZ 39713 5220 37 , , , 39713 5220 38 almost almost RB 39713 5220 39 I -PRON- PRP 39713 5220 40 had have VBD 39713 5220 41 said say VBN 39713 5220 42 his -PRON- PRP$ 39713 5220 43 caprice caprice NN 39713 5220 44 , , , 39713 5220 45 that that WDT 39713 5220 46 creates create VBZ 39713 5220 47 these these DT 39713 5220 48 facts fact NNS 39713 5220 49 . . . 39713 5221 1 He -PRON- PRP 39713 5221 2 constructs construct VBZ 39713 5221 3 a a DT 39713 5221 4 wholly wholly RB 39713 5221 5 new new JJ 39713 5221 6 combination combination NN 39713 5221 7 by by IN 39713 5221 8 putting put VBG 39713 5221 9 together together RB 39713 5221 10 its -PRON- PRP$ 39713 5221 11 elements element NNS 39713 5221 12 ; ; : 39713 5221 13 nature nature NN 39713 5221 14 does do VBZ 39713 5221 15 not not RB 39713 5221 16 in in IN 39713 5221 17 general general JJ 39713 5221 18 give give VB 39713 5221 19 it -PRON- PRP 39713 5221 20 to to IN 39713 5221 21 him -PRON- PRP 39713 5221 22 ready ready JJ 39713 5221 23 made make VBN 39713 5221 24 . . . 39713 5222 1 Doubtless doubtless VB 39713 5222 2 it -PRON- PRP 39713 5222 3 sometimes sometimes RB 39713 5222 4 happens happen VBZ 39713 5222 5 that that IN 39713 5222 6 the the DT 39713 5222 7 mathematician mathematician NNP 39713 5222 8 undertakes undertake VBZ 39713 5222 9 a a DT 39713 5222 10 problem problem NN 39713 5222 11 to to TO 39713 5222 12 satisfy satisfy VB 39713 5222 13 a a DT 39713 5222 14 need need NN 39713 5222 15 in in IN 39713 5222 16 physics physics NN 39713 5222 17 ; ; : 39713 5222 18 that that IN 39713 5222 19 the the DT 39713 5222 20 physicist physicist NN 39713 5222 21 or or CC 39713 5222 22 engineer engineer NN 39713 5222 23 asks ask VBZ 39713 5222 24 him -PRON- PRP 39713 5222 25 to to TO 39713 5222 26 calculate calculate VB 39713 5222 27 a a DT 39713 5222 28 number number NN 39713 5222 29 for for IN 39713 5222 30 a a DT 39713 5222 31 certain certain JJ 39713 5222 32 application application NN 39713 5222 33 . . . 39713 5223 1 Shall Shall MD 39713 5223 2 it -PRON- PRP 39713 5223 3 be be VB 39713 5223 4 said say VBN 39713 5223 5 that that IN 39713 5223 6 we -PRON- PRP 39713 5223 7 geometers geometer NNS 39713 5223 8 should should MD 39713 5223 9 limit limit VB 39713 5223 10 ourselves -PRON- PRP 39713 5223 11 to to IN 39713 5223 12 awaiting await VBG 39713 5223 13 orders order NNS 39713 5223 14 , , , 39713 5223 15 and and CC 39713 5223 16 , , , 39713 5223 17 in in IN 39713 5223 18 place place NN 39713 5223 19 of of IN 39713 5223 20 cultivating cultivate VBG 39713 5223 21 our -PRON- PRP$ 39713 5223 22 science science NN 39713 5223 23 for for IN 39713 5223 24 our -PRON- PRP$ 39713 5223 25 own own JJ 39713 5223 26 delectation delectation NN 39713 5223 27 , , , 39713 5223 28 try try VB 39713 5223 29 only only RB 39713 5223 30 to to TO 39713 5223 31 accommodate accommodate VB 39713 5223 32 ourselves -PRON- PRP 39713 5223 33 to to IN 39713 5223 34 the the DT 39713 5223 35 wants want NNS 39713 5223 36 of of IN 39713 5223 37 our -PRON- PRP$ 39713 5223 38 patrons patron NNS 39713 5223 39 ? ? . 39713 5224 1 If if IN 39713 5224 2 mathematics mathematic NNS 39713 5224 3 has have VBZ 39713 5224 4 no no DT 39713 5224 5 other other JJ 39713 5224 6 object object NN 39713 5224 7 besides besides IN 39713 5224 8 aiding aid VBG 39713 5224 9 those those DT 39713 5224 10 who who WP 39713 5224 11 study study VBP 39713 5224 12 nature nature NN 39713 5224 13 , , , 39713 5224 14 it -PRON- PRP 39713 5224 15 is be VBZ 39713 5224 16 from from IN 39713 5224 17 these these DT 39713 5224 18 we -PRON- PRP 39713 5224 19 should should MD 39713 5224 20 await await VB 39713 5224 21 orders order NNS 39713 5224 22 . . . 39713 5225 1 Is be VBZ 39713 5225 2 this this DT 39713 5225 3 way way NN 39713 5225 4 of of IN 39713 5225 5 looking look VBG 39713 5225 6 at at IN 39713 5225 7 it -PRON- PRP 39713 5225 8 legitimate legitimate JJ 39713 5225 9 ? ? . 39713 5226 1 Certainly certainly RB 39713 5226 2 not not RB 39713 5226 3 ; ; : 39713 5226 4 if if IN 39713 5226 5 we -PRON- PRP 39713 5226 6 had have VBD 39713 5226 7 not not RB 39713 5226 8 cultivated cultivate VBN 39713 5226 9 the the DT 39713 5226 10 exact exact JJ 39713 5226 11 sciences science NNS 39713 5226 12 for for IN 39713 5226 13 themselves -PRON- PRP 39713 5226 14 , , , 39713 5226 15 we -PRON- PRP 39713 5226 16 should should MD 39713 5226 17 not not RB 39713 5226 18 have have VB 39713 5226 19 created create VBN 39713 5226 20 mathematics mathematic NNS 39713 5226 21 the the DT 39713 5226 22 instrument instrument NN 39713 5226 23 , , , 39713 5226 24 and and CC 39713 5226 25 the the DT 39713 5226 26 day day NN 39713 5226 27 the the DT 39713 5226 28 call call NN 39713 5226 29 came come VBD 39713 5226 30 from from IN 39713 5226 31 the the DT 39713 5226 32 physicist physicist NN 39713 5226 33 we -PRON- PRP 39713 5226 34 should should MD 39713 5226 35 have have VB 39713 5226 36 been be VBN 39713 5226 37 helpless helpless JJ 39713 5226 38 . . . 39713 5227 1 Nor nor CC 39713 5227 2 do do VBP 39713 5227 3 the the DT 39713 5227 4 physicists physicist NNS 39713 5227 5 wait wait VB 39713 5227 6 to to TO 39713 5227 7 study study VB 39713 5227 8 a a DT 39713 5227 9 phenomenon phenomenon NN 39713 5227 10 until until IN 39713 5227 11 some some DT 39713 5227 12 urgent urgent JJ 39713 5227 13 need need NN 39713 5227 14 of of IN 39713 5227 15 material material JJ 39713 5227 16 life life NN 39713 5227 17 has have VBZ 39713 5227 18 made make VBN 39713 5227 19 it -PRON- PRP 39713 5227 20 a a DT 39713 5227 21 necessity necessity NN 39713 5227 22 for for IN 39713 5227 23 them -PRON- PRP 39713 5227 24 ; ; : 39713 5227 25 and and CC 39713 5227 26 they -PRON- PRP 39713 5227 27 are be VBP 39713 5227 28 right right JJ 39713 5227 29 . . . 39713 5228 1 If if IN 39713 5228 2 the the DT 39713 5228 3 scientists scientist NNS 39713 5228 4 of of IN 39713 5228 5 the the DT 39713 5228 6 eighteenth eighteenth JJ 39713 5228 7 century century NN 39713 5228 8 had have VBD 39713 5228 9 neglected neglect VBN 39713 5228 10 electricity electricity NN 39713 5228 11 as as IN 39713 5228 12 being be VBG 39713 5228 13 in in IN 39713 5228 14 their -PRON- PRP$ 39713 5228 15 eyes eye NNS 39713 5228 16 only only RB 39713 5228 17 a a DT 39713 5228 18 curiosity curiosity NN 39713 5228 19 without without IN 39713 5228 20 practical practical JJ 39713 5228 21 interest interest NN 39713 5228 22 , , , 39713 5228 23 we -PRON- PRP 39713 5228 24 should should MD 39713 5228 25 have have VB 39713 5228 26 had have VBN 39713 5228 27 in in IN 39713 5228 28 the the DT 39713 5228 29 twentieth twentieth JJ 39713 5228 30 century century NN 39713 5228 31 neither neither CC 39713 5228 32 telegraphy telegraphy NN 39713 5228 33 , , , 39713 5228 34 nor nor CC 39713 5228 35 electro electro NNP 39713 5228 36 - - HYPH 39713 5228 37 chemistry chemistry NN 39713 5228 38 , , , 39713 5228 39 nor nor CC 39713 5228 40 electro electro NNP 39713 5228 41 - - HYPH 39713 5228 42 technics technic NNS 39713 5228 43 . . . 39713 5229 1 The the DT 39713 5229 2 physicists physicist NNS 39713 5229 3 , , , 39713 5229 4 compelled compel VBN 39713 5229 5 to to TO 39713 5229 6 choose choose VB 39713 5229 7 , , , 39713 5229 8 are be VBP 39713 5229 9 therefore therefore RB 39713 5229 10 not not RB 39713 5229 11 guided guide VBN 39713 5229 12 in in IN 39713 5229 13 their -PRON- PRP$ 39713 5229 14 choice choice NN 39713 5229 15 solely solely RB 39713 5229 16 by by IN 39713 5229 17 utility utility NN 39713 5229 18 . . . 39713 5230 1 How how WRB 39713 5230 2 then then RB 39713 5230 3 do do VBP 39713 5230 4 they -PRON- PRP 39713 5230 5 choose choose VB 39713 5230 6 between between IN 39713 5230 7 the the DT 39713 5230 8 facts fact NNS 39713 5230 9 of of IN 39713 5230 10 nature nature NN 39713 5230 11 ? ? . 39713 5231 1 We -PRON- PRP 39713 5231 2 have have VBP 39713 5231 3 explained explain VBN 39713 5231 4 it -PRON- PRP 39713 5231 5 in in IN 39713 5231 6 the the DT 39713 5231 7 preceding precede VBG 39713 5231 8 chapter chapter NN 39713 5231 9 : : : 39713 5231 10 the the DT 39713 5231 11 facts fact NNS 39713 5231 12 which which WDT 39713 5231 13 interest interest VBP 39713 5231 14 them -PRON- PRP 39713 5231 15 are be VBP 39713 5231 16 those those DT 39713 5231 17 capable capable JJ 39713 5231 18 of of IN 39713 5231 19 leading lead VBG 39713 5231 20 to to IN 39713 5231 21 the the DT 39713 5231 22 discovery discovery NN 39713 5231 23 of of IN 39713 5231 24 a a DT 39713 5231 25 law law NN 39713 5231 26 , , , 39713 5231 27 and and CC 39713 5231 28 so so RB 39713 5231 29 they -PRON- PRP 39713 5231 30 are be VBP 39713 5231 31 analogous analogous JJ 39713 5231 32 to to IN 39713 5231 33 many many JJ 39713 5231 34 other other JJ 39713 5231 35 facts fact NNS 39713 5231 36 which which WDT 39713 5231 37 do do VBP 39713 5231 38 not not RB 39713 5231 39 seem seem VB 39713 5231 40 to to IN 39713 5231 41 us -PRON- PRP 39713 5231 42 isolated isolated JJ 39713 5231 43 , , , 39713 5231 44 but but CC 39713 5231 45 closely closely RB 39713 5231 46 grouped group VBN 39713 5231 47 with with IN 39713 5231 48 others other NNS 39713 5231 49 . . . 39713 5232 1 The the DT 39713 5232 2 isolated isolated JJ 39713 5232 3 fact fact NN 39713 5232 4 attracts attract VBZ 39713 5232 5 all all DT 39713 5232 6 eyes eye NNS 39713 5232 7 , , , 39713 5232 8 those those DT 39713 5232 9 of of IN 39713 5232 10 the the DT 39713 5232 11 layman layman NN 39713 5232 12 as as RB 39713 5232 13 well well RB 39713 5232 14 as as IN 39713 5232 15 of of IN 39713 5232 16 the the DT 39713 5232 17 scientist scientist NN 39713 5232 18 . . . 39713 5233 1 But but CC 39713 5233 2 what what WP 39713 5233 3 the the DT 39713 5233 4 genuine genuine JJ 39713 5233 5 physicist physicist NN 39713 5233 6 alone alone RB 39713 5233 7 knows know VBZ 39713 5233 8 how how WRB 39713 5233 9 to to TO 39713 5233 10 see see VB 39713 5233 11 , , , 39713 5233 12 is be VBZ 39713 5233 13 the the DT 39713 5233 14 bond bond NN 39713 5233 15 which which WDT 39713 5233 16 unites unite VBZ 39713 5233 17 many many JJ 39713 5233 18 facts fact NNS 39713 5233 19 whose whose WP$ 39713 5233 20 analogy analogy NN 39713 5233 21 is be VBZ 39713 5233 22 profound profound JJ 39713 5233 23 but but CC 39713 5233 24 hidden hidden JJ 39713 5233 25 . . . 39713 5234 1 The the DT 39713 5234 2 story story NN 39713 5234 3 of of IN 39713 5234 4 Newton Newton NNP 39713 5234 5 's 's POS 39713 5234 6 apple apple NN 39713 5234 7 is be VBZ 39713 5234 8 probably probably RB 39713 5234 9 not not RB 39713 5234 10 true true JJ 39713 5234 11 , , , 39713 5234 12 but but CC 39713 5234 13 it -PRON- PRP 39713 5234 14 is be VBZ 39713 5234 15 symbolic symbolic JJ 39713 5234 16 ; ; : 39713 5234 17 let let VB 39713 5234 18 us -PRON- PRP 39713 5234 19 speak speak VB 39713 5234 20 of of IN 39713 5234 21 it -PRON- PRP 39713 5234 22 then then RB 39713 5234 23 as as IN 39713 5234 24 if if IN 39713 5234 25 it -PRON- PRP 39713 5234 26 were be VBD 39713 5234 27 true true JJ 39713 5234 28 . . . 39713 5235 1 Well well UH 39713 5235 2 then then RB 39713 5235 3 , , , 39713 5235 4 we -PRON- PRP 39713 5235 5 must must MD 39713 5235 6 believe believe VB 39713 5235 7 that that IN 39713 5235 8 before before IN 39713 5235 9 Newton Newton NNP 39713 5235 10 plenty plenty NN 39713 5235 11 of of IN 39713 5235 12 men man NNS 39713 5235 13 had have VBD 39713 5235 14 seen see VBN 39713 5235 15 apples apple NNS 39713 5235 16 fall fall VB 39713 5235 17 ; ; : 39713 5235 18 not not RB 39713 5235 19 one one CD 39713 5235 20 knew know VBD 39713 5235 21 how how WRB 39713 5235 22 to to TO 39713 5235 23 conclude conclude VB 39713 5235 24 anything anything NN 39713 5235 25 therefrom therefrom JJ 39713 5235 26 . . . 39713 5236 1 Facts fact NNS 39713 5236 2 would would MD 39713 5236 3 be be VB 39713 5236 4 sterile sterile JJ 39713 5236 5 were be VBD 39713 5236 6 there there RB 39713 5236 7 not not RB 39713 5236 8 minds mind NNS 39713 5236 9 capable capable JJ 39713 5236 10 of of IN 39713 5236 11 choosing choose VBG 39713 5236 12 among among IN 39713 5236 13 them -PRON- PRP 39713 5236 14 , , , 39713 5236 15 discerning discern VBG 39713 5236 16 those those DT 39713 5236 17 behind behind IN 39713 5236 18 which which WDT 39713 5236 19 something something NN 39713 5236 20 was be VBD 39713 5236 21 hidden hide VBN 39713 5236 22 , , , 39713 5236 23 and and CC 39713 5236 24 of of IN 39713 5236 25 recognizing recognize VBG 39713 5236 26 what what WP 39713 5236 27 is be VBZ 39713 5236 28 hiding hide VBG 39713 5236 29 , , , 39713 5236 30 minds mind NNS 39713 5236 31 which which WDT 39713 5236 32 under under IN 39713 5236 33 the the DT 39713 5236 34 crude crude JJ 39713 5236 35 fact fact NN 39713 5236 36 perceive perceive VBP 39713 5236 37 the the DT 39713 5236 38 soul soul NN 39713 5236 39 of of IN 39713 5236 40 the the DT 39713 5236 41 fact fact NN 39713 5236 42 . . . 39713 5237 1 We -PRON- PRP 39713 5237 2 find find VBP 39713 5237 3 just just RB 39713 5237 4 the the DT 39713 5237 5 same same JJ 39713 5237 6 thing thing NN 39713 5237 7 in in IN 39713 5237 8 mathematics mathematic NNS 39713 5237 9 . . . 39713 5238 1 From from IN 39713 5238 2 the the DT 39713 5238 3 varied varied JJ 39713 5238 4 elements element NNS 39713 5238 5 at at IN 39713 5238 6 our -PRON- PRP$ 39713 5238 7 disposal disposal NN 39713 5238 8 we -PRON- PRP 39713 5238 9 can can MD 39713 5238 10 get get VB 39713 5238 11 millions million NNS 39713 5238 12 of of IN 39713 5238 13 different different JJ 39713 5238 14 combinations combination NNS 39713 5238 15 ; ; : 39713 5238 16 but but CC 39713 5238 17 one one CD 39713 5238 18 of of IN 39713 5238 19 these these DT 39713 5238 20 combinations combination NNS 39713 5238 21 , , , 39713 5238 22 in in IN 39713 5238 23 so so RB 39713 5238 24 far far RB 39713 5238 25 as as IN 39713 5238 26 it -PRON- PRP 39713 5238 27 is be VBZ 39713 5238 28 isolated isolate VBN 39713 5238 29 , , , 39713 5238 30 is be VBZ 39713 5238 31 absolutely absolutely RB 39713 5238 32 void void JJ 39713 5238 33 of of IN 39713 5238 34 value value NN 39713 5238 35 . . . 39713 5239 1 Often often RB 39713 5239 2 we -PRON- PRP 39713 5239 3 have have VBP 39713 5239 4 taken take VBN 39713 5239 5 great great JJ 39713 5239 6 pains pain NNS 39713 5239 7 to to TO 39713 5239 8 construct construct VB 39713 5239 9 it -PRON- PRP 39713 5239 10 , , , 39713 5239 11 but but CC 39713 5239 12 it -PRON- PRP 39713 5239 13 serves serve VBZ 39713 5239 14 no no DT 39713 5239 15 purpose purpose NN 39713 5239 16 , , , 39713 5239 17 if if IN 39713 5239 18 not not RB 39713 5239 19 perhaps perhaps RB 39713 5239 20 to to TO 39713 5239 21 furnish furnish VB 39713 5239 22 a a DT 39713 5239 23 task task NN 39713 5239 24 in in IN 39713 5239 25 secondary secondary JJ 39713 5239 26 education education NN 39713 5239 27 . . . 39713 5240 1 Quite quite RB 39713 5240 2 otherwise otherwise RB 39713 5240 3 will will MD 39713 5240 4 it -PRON- PRP 39713 5240 5 be be VB 39713 5240 6 when when WRB 39713 5240 7 this this DT 39713 5240 8 combination combination NN 39713 5240 9 shall shall MD 39713 5240 10 find find VB 39713 5240 11 place place NN 39713 5240 12 in in IN 39713 5240 13 a a DT 39713 5240 14 class class NN 39713 5240 15 of of IN 39713 5240 16 analogous analogous JJ 39713 5240 17 combinations combination NNS 39713 5240 18 and and CC 39713 5240 19 we -PRON- PRP 39713 5240 20 shall shall MD 39713 5240 21 have have VB 39713 5240 22 noticed notice VBN 39713 5240 23 this this DT 39713 5240 24 analogy analogy NN 39713 5240 25 . . . 39713 5241 1 We -PRON- PRP 39713 5241 2 are be VBP 39713 5241 3 no no RB 39713 5241 4 longer long RBR 39713 5241 5 in in IN 39713 5241 6 the the DT 39713 5241 7 presence presence NN 39713 5241 8 of of IN 39713 5241 9 a a DT 39713 5241 10 fact fact NN 39713 5241 11 , , , 39713 5241 12 but but CC 39713 5241 13 of of IN 39713 5241 14 a a DT 39713 5241 15 law law NN 39713 5241 16 . . . 39713 5242 1 And and CC 39713 5242 2 upon upon IN 39713 5242 3 that that DT 39713 5242 4 day day NN 39713 5242 5 the the DT 39713 5242 6 real real JJ 39713 5242 7 discoverer discoverer NN 39713 5242 8 will will MD 39713 5242 9 not not RB 39713 5242 10 be be VB 39713 5242 11 the the DT 39713 5242 12 workman workman NN 39713 5242 13 who who WP 39713 5242 14 shall shall MD 39713 5242 15 have have VB 39713 5242 16 patiently patiently RB 39713 5242 17 built build VBN 39713 5242 18 up up RP 39713 5242 19 certain certain JJ 39713 5242 20 of of IN 39713 5242 21 these these DT 39713 5242 22 combinations combination NNS 39713 5242 23 ; ; : 39713 5242 24 it -PRON- PRP 39713 5242 25 will will MD 39713 5242 26 be be VB 39713 5242 27 he -PRON- PRP 39713 5242 28 who who WP 39713 5242 29 brings bring VBZ 39713 5242 30 to to TO 39713 5242 31 light light VB 39713 5242 32 their -PRON- PRP$ 39713 5242 33 kinship kinship NN 39713 5242 34 . . . 39713 5243 1 The the DT 39713 5243 2 first first JJ 39713 5243 3 will will MD 39713 5243 4 have have VB 39713 5243 5 seen see VBN 39713 5243 6 merely merely RB 39713 5243 7 the the DT 39713 5243 8 crude crude JJ 39713 5243 9 fact fact NN 39713 5243 10 , , , 39713 5243 11 only only RB 39713 5243 12 the the DT 39713 5243 13 other other JJ 39713 5243 14 will will MD 39713 5243 15 have have VB 39713 5243 16 perceived perceive VBN 39713 5243 17 the the DT 39713 5243 18 soul soul NN 39713 5243 19 of of IN 39713 5243 20 the the DT 39713 5243 21 fact fact NN 39713 5243 22 . . . 39713 5244 1 Often often RB 39713 5244 2 to to TO 39713 5244 3 fix fix VB 39713 5244 4 this this DT 39713 5244 5 kinship kinship NN 39713 5244 6 it -PRON- PRP 39713 5244 7 suffices suffice VBZ 39713 5244 8 him -PRON- PRP 39713 5244 9 to to TO 39713 5244 10 make make VB 39713 5244 11 a a DT 39713 5244 12 new new JJ 39713 5244 13 word word NN 39713 5244 14 , , , 39713 5244 15 and and CC 39713 5244 16 this this DT 39713 5244 17 word word NN 39713 5244 18 is be VBZ 39713 5244 19 creative creative JJ 39713 5244 20 . . . 39713 5245 1 The the DT 39713 5245 2 history history NN 39713 5245 3 of of IN 39713 5245 4 science science NN 39713 5245 5 furnishes furnish VBZ 39713 5245 6 us -PRON- PRP 39713 5245 7 a a DT 39713 5245 8 crowd crowd NN 39713 5245 9 of of IN 39713 5245 10 examples example NNS 39713 5245 11 familiar familiar JJ 39713 5245 12 to to IN 39713 5245 13 all all DT 39713 5245 14 . . . 39713 5246 1 The the DT 39713 5246 2 celebrated celebrated JJ 39713 5246 3 Vienna Vienna NNP 39713 5246 4 philosopher philosopher NN 39713 5246 5 Mach Mach NNP 39713 5246 6 has have VBZ 39713 5246 7 said say VBN 39713 5246 8 that that IN 39713 5246 9 the the DT 39713 5246 10 rôle rôle NN 39713 5246 11 of of IN 39713 5246 12 science science NN 39713 5246 13 is be VBZ 39713 5246 14 to to TO 39713 5246 15 produce produce VB 39713 5246 16 economy economy NN 39713 5246 17 of of IN 39713 5246 18 thought thought NN 39713 5246 19 , , , 39713 5246 20 just just RB 39713 5246 21 as as IN 39713 5246 22 machines machine NNS 39713 5246 23 produce produce VBP 39713 5246 24 economy economy NN 39713 5246 25 of of IN 39713 5246 26 effort effort NN 39713 5246 27 . . . 39713 5247 1 And and CC 39713 5247 2 that that DT 39713 5247 3 is be VBZ 39713 5247 4 very very RB 39713 5247 5 true true JJ 39713 5247 6 . . . 39713 5248 1 The the DT 39713 5248 2 savage savage JJ 39713 5248 3 reckons reckon NNS 39713 5248 4 on on IN 39713 5248 5 his -PRON- PRP$ 39713 5248 6 fingers finger NNS 39713 5248 7 or or CC 39713 5248 8 by by IN 39713 5248 9 heaping heap VBG 39713 5248 10 pebbles pebble NNS 39713 5248 11 . . . 39713 5249 1 In in IN 39713 5249 2 teaching teach VBG 39713 5249 3 children child NNS 39713 5249 4 the the DT 39713 5249 5 multiplication multiplication NN 39713 5249 6 table table NN 39713 5249 7 we -PRON- PRP 39713 5249 8 spare spare VBP 39713 5249 9 them -PRON- PRP 39713 5249 10 later later RB 39713 5249 11 innumerable innumerable JJ 39713 5249 12 pebble pebble JJ 39713 5249 13 bunchings bunching NNS 39713 5249 14 . . . 39713 5250 1 Some some DT 39713 5250 2 one one NN 39713 5250 3 has have VBZ 39713 5250 4 already already RB 39713 5250 5 found find VBN 39713 5250 6 out out RP 39713 5250 7 , , , 39713 5250 8 with with IN 39713 5250 9 pebbles pebble NNS 39713 5250 10 or or CC 39713 5250 11 otherwise otherwise RB 39713 5250 12 , , , 39713 5250 13 that that IN 39713 5250 14 6 6 CD 39713 5250 15 times time NNS 39713 5250 16 7 7 CD 39713 5250 17 is be VBZ 39713 5250 18 42 42 CD 39713 5250 19 and and CC 39713 5250 20 has have VBZ 39713 5250 21 had have VBN 39713 5250 22 the the DT 39713 5250 23 idea idea NN 39713 5250 24 of of IN 39713 5250 25 noting note VBG 39713 5250 26 the the DT 39713 5250 27 result result NN 39713 5250 28 , , , 39713 5250 29 and and CC 39713 5250 30 so so RB 39713 5250 31 we -PRON- PRP 39713 5250 32 need need VBP 39713 5250 33 not not RB 39713 5250 34 do do VB 39713 5250 35 it -PRON- PRP 39713 5250 36 over over RP 39713 5250 37 again again RB 39713 5250 38 . . . 39713 5251 1 He -PRON- PRP 39713 5251 2 did do VBD 39713 5251 3 not not RB 39713 5251 4 waste waste VB 39713 5251 5 his -PRON- PRP$ 39713 5251 6 time time NN 39713 5251 7 even even RB 39713 5251 8 if if IN 39713 5251 9 he -PRON- PRP 39713 5251 10 reckoned reckon VBD 39713 5251 11 for for IN 39713 5251 12 pleasure pleasure NN 39713 5251 13 : : : 39713 5251 14 his -PRON- PRP$ 39713 5251 15 operation operation NN 39713 5251 16 took take VBD 39713 5251 17 him -PRON- PRP 39713 5251 18 only only RB 39713 5251 19 two two CD 39713 5251 20 minutes minute NNS 39713 5251 21 ; ; : 39713 5251 22 it -PRON- PRP 39713 5251 23 would would MD 39713 5251 24 have have VB 39713 5251 25 taken take VBN 39713 5251 26 in in RP 39713 5251 27 all all DT 39713 5251 28 two two CD 39713 5251 29 milliards milliard NNS 39713 5251 30 if if IN 39713 5251 31 a a DT 39713 5251 32 milliard milliard JJ 39713 5251 33 men man NNS 39713 5251 34 had have VBD 39713 5251 35 had have VBN 39713 5251 36 to to TO 39713 5251 37 do do VB 39713 5251 38 it -PRON- PRP 39713 5251 39 over over RP 39713 5251 40 after after IN 39713 5251 41 him -PRON- PRP 39713 5251 42 . . . 39713 5252 1 The the DT 39713 5252 2 importance importance NN 39713 5252 3 of of IN 39713 5252 4 a a DT 39713 5252 5 fact fact NN 39713 5252 6 then then RB 39713 5252 7 is be VBZ 39713 5252 8 measured measure VBN 39713 5252 9 by by IN 39713 5252 10 its -PRON- PRP$ 39713 5252 11 yield yield NN 39713 5252 12 , , , 39713 5252 13 that that DT 39713 5252 14 is be VBZ 39713 5252 15 to to TO 39713 5252 16 say say VB 39713 5252 17 , , , 39713 5252 18 by by IN 39713 5252 19 the the DT 39713 5252 20 amount amount NN 39713 5252 21 of of IN 39713 5252 22 thought thought NN 39713 5252 23 it -PRON- PRP 39713 5252 24 permits permit VBZ 39713 5252 25 us -PRON- PRP 39713 5252 26 to to TO 39713 5252 27 spare spare VB 39713 5252 28 . . . 39713 5253 1 In in IN 39713 5253 2 physics physics NN 39713 5253 3 the the DT 39713 5253 4 facts fact NNS 39713 5253 5 of of IN 39713 5253 6 great great JJ 39713 5253 7 yield yield NN 39713 5253 8 are be VBP 39713 5253 9 those those DT 39713 5253 10 entering enter VBG 39713 5253 11 into into IN 39713 5253 12 a a DT 39713 5253 13 very very RB 39713 5253 14 general general JJ 39713 5253 15 law law NN 39713 5253 16 , , , 39713 5253 17 since since IN 39713 5253 18 from from IN 39713 5253 19 it -PRON- PRP 39713 5253 20 they -PRON- PRP 39713 5253 21 enable enable VBP 39713 5253 22 us -PRON- PRP 39713 5253 23 to to TO 39713 5253 24 foresee foresee VB 39713 5253 25 a a DT 39713 5253 26 great great JJ 39713 5253 27 number number NN 39713 5253 28 of of IN 39713 5253 29 others other NNS 39713 5253 30 , , , 39713 5253 31 and and CC 39713 5253 32 just just RB 39713 5253 33 so so IN 39713 5253 34 it -PRON- PRP 39713 5253 35 is be VBZ 39713 5253 36 in in IN 39713 5253 37 mathematics mathematic NNS 39713 5253 38 . . . 39713 5254 1 Suppose suppose VB 39713 5254 2 I -PRON- PRP 39713 5254 3 have have VBP 39713 5254 4 undertaken undertake VBN 39713 5254 5 a a DT 39713 5254 6 complicated complicated JJ 39713 5254 7 calculation calculation NN 39713 5254 8 and and CC 39713 5254 9 laboriously laboriously RB 39713 5254 10 reached reach VBD 39713 5254 11 a a DT 39713 5254 12 result result NN 39713 5254 13 : : : 39713 5254 14 I -PRON- PRP 39713 5254 15 shall shall MD 39713 5254 16 not not RB 39713 5254 17 be be VB 39713 5254 18 compensated compensate VBN 39713 5254 19 for for IN 39713 5254 20 my -PRON- PRP$ 39713 5254 21 trouble trouble NN 39713 5254 22 if if IN 39713 5254 23 thereby thereby RB 39713 5254 24 I -PRON- PRP 39713 5254 25 have have VBP 39713 5254 26 not not RB 39713 5254 27 become become VBN 39713 5254 28 capable capable JJ 39713 5254 29 of of IN 39713 5254 30 foreseeing foresee VBG 39713 5254 31 the the DT 39713 5254 32 results result NNS 39713 5254 33 of of IN 39713 5254 34 other other JJ 39713 5254 35 analogous analogous JJ 39713 5254 36 calculations calculation NNS 39713 5254 37 and and CC 39713 5254 38 guiding guide VBG 39713 5254 39 them -PRON- PRP 39713 5254 40 with with IN 39713 5254 41 a a DT 39713 5254 42 certainty certainty NN 39713 5254 43 that that WDT 39713 5254 44 avoids avoid VBZ 39713 5254 45 the the DT 39713 5254 46 gropings groping NNS 39713 5254 47 to to TO 39713 5254 48 which which WDT 39713 5254 49 one one PRP 39713 5254 50 must must MD 39713 5254 51 be be VB 39713 5254 52 resigned resign VBN 39713 5254 53 in in IN 39713 5254 54 a a DT 39713 5254 55 first first JJ 39713 5254 56 attempt attempt NN 39713 5254 57 . . . 39713 5255 1 On on IN 39713 5255 2 the the DT 39713 5255 3 other other JJ 39713 5255 4 hand hand NN 39713 5255 5 , , , 39713 5255 6 I -PRON- PRP 39713 5255 7 shall shall MD 39713 5255 8 not not RB 39713 5255 9 have have VB 39713 5255 10 wasted waste VBN 39713 5255 11 my -PRON- PRP$ 39713 5255 12 time time NN 39713 5255 13 if if IN 39713 5255 14 these these DT 39713 5255 15 gropings groping NNS 39713 5255 16 themselves -PRON- PRP 39713 5255 17 have have VBP 39713 5255 18 ended end VBN 39713 5255 19 by by IN 39713 5255 20 revealing reveal VBG 39713 5255 21 to to IN 39713 5255 22 me -PRON- PRP 39713 5255 23 the the DT 39713 5255 24 profound profound JJ 39713 5255 25 analogy analogy NN 39713 5255 26 of of IN 39713 5255 27 the the DT 39713 5255 28 problem problem NN 39713 5255 29 just just RB 39713 5255 30 treated treat VBN 39713 5255 31 with with IN 39713 5255 32 a a DT 39713 5255 33 much much RB 39713 5255 34 more more RBR 39713 5255 35 extended extended JJ 39713 5255 36 class class NN 39713 5255 37 of of IN 39713 5255 38 other other JJ 39713 5255 39 problems problem NNS 39713 5255 40 ; ; : 39713 5255 41 if if IN 39713 5255 42 they -PRON- PRP 39713 5255 43 have have VBP 39713 5255 44 shown show VBN 39713 5255 45 me -PRON- PRP 39713 5255 46 at at IN 39713 5255 47 once once IN 39713 5255 48 the the DT 39713 5255 49 resemblances resemblance NNS 39713 5255 50 and and CC 39713 5255 51 differences difference NNS 39713 5255 52 of of IN 39713 5255 53 these these DT 39713 5255 54 , , , 39713 5255 55 if if IN 39713 5255 56 in in IN 39713 5255 57 a a DT 39713 5255 58 word word NN 39713 5255 59 they -PRON- PRP 39713 5255 60 have have VBP 39713 5255 61 made make VBN 39713 5255 62 me -PRON- PRP 39713 5255 63 perceive perceive VB 39713 5255 64 the the DT 39713 5255 65 possibility possibility NN 39713 5255 66 of of IN 39713 5255 67 a a DT 39713 5255 68 generalization generalization NN 39713 5255 69 . . . 39713 5256 1 Then then RB 39713 5256 2 it -PRON- PRP 39713 5256 3 is be VBZ 39713 5256 4 not not RB 39713 5256 5 a a DT 39713 5256 6 new new JJ 39713 5256 7 result result NN 39713 5256 8 I -PRON- PRP 39713 5256 9 have have VBP 39713 5256 10 won win VBN 39713 5256 11 , , , 39713 5256 12 it -PRON- PRP 39713 5256 13 is be VBZ 39713 5256 14 a a DT 39713 5256 15 new new JJ 39713 5256 16 power power NN 39713 5256 17 . . . 39713 5257 1 The the DT 39713 5257 2 simple simple JJ 39713 5257 3 example example NN 39713 5257 4 that that WDT 39713 5257 5 comes come VBZ 39713 5257 6 first first RB 39713 5257 7 to to IN 39713 5257 8 mind mind NN 39713 5257 9 is be VBZ 39713 5257 10 that that DT 39713 5257 11 of of IN 39713 5257 12 an an DT 39713 5257 13 algebraic algebraic JJ 39713 5257 14 formula formula NN 39713 5257 15 which which WDT 39713 5257 16 gives give VBZ 39713 5257 17 us -PRON- PRP 39713 5257 18 the the DT 39713 5257 19 solution solution NN 39713 5257 20 of of IN 39713 5257 21 a a DT 39713 5257 22 type type NN 39713 5257 23 of of IN 39713 5257 24 numeric numeric JJ 39713 5257 25 problems problem NNS 39713 5257 26 when when WRB 39713 5257 27 finally finally RB 39713 5257 28 we -PRON- PRP 39713 5257 29 replace replace VBP 39713 5257 30 the the DT 39713 5257 31 letters letter NNS 39713 5257 32 by by IN 39713 5257 33 numbers number NNS 39713 5257 34 . . . 39713 5258 1 Thanks thank NNS 39713 5258 2 to to IN 39713 5258 3 it -PRON- PRP 39713 5258 4 , , , 39713 5258 5 a a DT 39713 5258 6 single single JJ 39713 5258 7 algebraic algebraic NN 39713 5258 8 calculation calculation NN 39713 5258 9 saves save VBZ 39713 5258 10 us -PRON- PRP 39713 5258 11 the the DT 39713 5258 12 pains pain NNS 39713 5258 13 of of IN 39713 5258 14 ceaselessly ceaselessly RB 39713 5258 15 beginning begin VBG 39713 5258 16 over over RP 39713 5258 17 again again RB 39713 5258 18 new new JJ 39713 5258 19 numeric numeric JJ 39713 5258 20 calculations calculation NNS 39713 5258 21 . . . 39713 5259 1 But but CC 39713 5259 2 this this DT 39713 5259 3 is be VBZ 39713 5259 4 only only RB 39713 5259 5 a a DT 39713 5259 6 crude crude JJ 39713 5259 7 example example NN 39713 5259 8 ; ; : 39713 5259 9 we -PRON- PRP 39713 5259 10 all all DT 39713 5259 11 know know VBP 39713 5259 12 there there EX 39713 5259 13 are be VBP 39713 5259 14 analogies analogy NNS 39713 5259 15 inexpressible inexpressible JJ 39713 5259 16 by by IN 39713 5259 17 a a DT 39713 5259 18 formula formula NN 39713 5259 19 and and CC 39713 5259 20 all all PDT 39713 5259 21 the the DT 39713 5259 22 more more RBR 39713 5259 23 precious precious JJ 39713 5259 24 . . . 39713 5260 1 A a DT 39713 5260 2 new new JJ 39713 5260 3 result result NN 39713 5260 4 is be VBZ 39713 5260 5 of of IN 39713 5260 6 value value NN 39713 5260 7 , , , 39713 5260 8 if if IN 39713 5260 9 at at RB 39713 5260 10 all all RB 39713 5260 11 , , , 39713 5260 12 when when WRB 39713 5260 13 in in IN 39713 5260 14 unifying unify VBG 39713 5260 15 elements element NNS 39713 5260 16 long long RB 39713 5260 17 known know VBN 39713 5260 18 but but CC 39713 5260 19 hitherto hitherto PRP$ 39713 5260 20 separate separate JJ 39713 5260 21 and and CC 39713 5260 22 seeming seeming JJ 39713 5260 23 strangers stranger NNS 39713 5260 24 one one CD 39713 5260 25 to to IN 39713 5260 26 another another DT 39713 5260 27 it -PRON- PRP 39713 5260 28 suddenly suddenly RB 39713 5260 29 introduces introduce VBZ 39713 5260 30 order order NN 39713 5260 31 where where WRB 39713 5260 32 apparently apparently RB 39713 5260 33 disorder disorder NN 39713 5260 34 reigned reign VBD 39713 5260 35 . . . 39713 5261 1 It -PRON- PRP 39713 5261 2 then then RB 39713 5261 3 permits permit VBZ 39713 5261 4 us -PRON- PRP 39713 5261 5 to to TO 39713 5261 6 see see VB 39713 5261 7 at at IN 39713 5261 8 a a DT 39713 5261 9 glance glance NN 39713 5261 10 each each DT 39713 5261 11 of of IN 39713 5261 12 these these DT 39713 5261 13 elements element NNS 39713 5261 14 and and CC 39713 5261 15 its -PRON- PRP$ 39713 5261 16 place place NN 39713 5261 17 in in IN 39713 5261 18 the the DT 39713 5261 19 assemblage assemblage NN 39713 5261 20 . . . 39713 5262 1 This this DT 39713 5262 2 new new JJ 39713 5262 3 fact fact NN 39713 5262 4 is be VBZ 39713 5262 5 not not RB 39713 5262 6 merely merely RB 39713 5262 7 precious precious JJ 39713 5262 8 by by IN 39713 5262 9 itself -PRON- PRP 39713 5262 10 , , , 39713 5262 11 but but CC 39713 5262 12 it -PRON- PRP 39713 5262 13 alone alone RB 39713 5262 14 gives give VBZ 39713 5262 15 value value NN 39713 5262 16 to to IN 39713 5262 17 all all PDT 39713 5262 18 the the DT 39713 5262 19 old old JJ 39713 5262 20 facts fact NNS 39713 5262 21 it -PRON- PRP 39713 5262 22 combines combine VBZ 39713 5262 23 . . . 39713 5263 1 Our -PRON- PRP$ 39713 5263 2 mind mind NN 39713 5263 3 is be VBZ 39713 5263 4 weak weak JJ 39713 5263 5 as as IN 39713 5263 6 are be VBP 39713 5263 7 the the DT 39713 5263 8 senses sense NNS 39713 5263 9 ; ; : 39713 5263 10 it -PRON- PRP 39713 5263 11 would would MD 39713 5263 12 lose lose VB 39713 5263 13 itself -PRON- PRP 39713 5263 14 in in IN 39713 5263 15 the the DT 39713 5263 16 world world NN 39713 5263 17 's 's POS 39713 5263 18 complexity complexity NN 39713 5263 19 were be VBD 39713 5263 20 this this DT 39713 5263 21 complexity complexity NN 39713 5263 22 not not RB 39713 5263 23 harmonious harmonious JJ 39713 5263 24 ; ; : 39713 5263 25 like like IN 39713 5263 26 a a DT 39713 5263 27 near near JJ 39713 5263 28 - - HYPH 39713 5263 29 sighted sighted JJ 39713 5263 30 person person NN 39713 5263 31 , , , 39713 5263 32 it -PRON- PRP 39713 5263 33 would would MD 39713 5263 34 see see VB 39713 5263 35 only only RB 39713 5263 36 the the DT 39713 5263 37 details detail NNS 39713 5263 38 and and CC 39713 5263 39 would would MD 39713 5263 40 be be VB 39713 5263 41 forced force VBN 39713 5263 42 to to TO 39713 5263 43 forget forget VB 39713 5263 44 each each DT 39713 5263 45 of of IN 39713 5263 46 these these DT 39713 5263 47 details detail NNS 39713 5263 48 before before IN 39713 5263 49 examining examine VBG 39713 5263 50 the the DT 39713 5263 51 following following NN 39713 5263 52 , , , 39713 5263 53 since since IN 39713 5263 54 it -PRON- PRP 39713 5263 55 would would MD 39713 5263 56 be be VB 39713 5263 57 incapable incapable JJ 39713 5263 58 of of IN 39713 5263 59 embracing embrace VBG 39713 5263 60 all all DT 39713 5263 61 . . . 39713 5264 1 The the DT 39713 5264 2 only only JJ 39713 5264 3 facts fact NNS 39713 5264 4 worthy worthy JJ 39713 5264 5 our -PRON- PRP$ 39713 5264 6 attention attention NN 39713 5264 7 are be VBP 39713 5264 8 those those DT 39713 5264 9 which which WDT 39713 5264 10 introduce introduce VBP 39713 5264 11 order order NN 39713 5264 12 into into IN 39713 5264 13 this this DT 39713 5264 14 complexity complexity NN 39713 5264 15 and and CC 39713 5264 16 so so RB 39713 5264 17 make make VB 39713 5264 18 it -PRON- PRP 39713 5264 19 accessible accessible JJ 39713 5264 20 . . . 39713 5265 1 Mathematicians mathematician NNS 39713 5265 2 attach attach VBP 39713 5265 3 great great JJ 39713 5265 4 importance importance NN 39713 5265 5 to to IN 39713 5265 6 the the DT 39713 5265 7 elegance elegance NN 39713 5265 8 of of IN 39713 5265 9 their -PRON- PRP$ 39713 5265 10 methods method NNS 39713 5265 11 and and CC 39713 5265 12 their -PRON- PRP$ 39713 5265 13 results result NNS 39713 5265 14 . . . 39713 5266 1 This this DT 39713 5266 2 is be VBZ 39713 5266 3 not not RB 39713 5266 4 pure pure JJ 39713 5266 5 dilettantism dilettantism NN 39713 5266 6 . . . 39713 5267 1 What what WP 39713 5267 2 is be VBZ 39713 5267 3 it -PRON- PRP 39713 5267 4 indeed indeed RB 39713 5267 5 that that WDT 39713 5267 6 gives give VBZ 39713 5267 7 us -PRON- PRP 39713 5267 8 the the DT 39713 5267 9 feeling feeling NN 39713 5267 10 of of IN 39713 5267 11 elegance elegance NN 39713 5267 12 in in IN 39713 5267 13 a a DT 39713 5267 14 solution solution NN 39713 5267 15 , , , 39713 5267 16 in in IN 39713 5267 17 a a DT 39713 5267 18 demonstration demonstration NN 39713 5267 19 ? ? . 39713 5268 1 It -PRON- PRP 39713 5268 2 is be VBZ 39713 5268 3 the the DT 39713 5268 4 harmony harmony NN 39713 5268 5 of of IN 39713 5268 6 the the DT 39713 5268 7 diverse diverse JJ 39713 5268 8 parts part NNS 39713 5268 9 , , , 39713 5268 10 their -PRON- PRP$ 39713 5268 11 symmetry symmetry NN 39713 5268 12 , , , 39713 5268 13 their -PRON- PRP$ 39713 5268 14 happy happy JJ 39713 5268 15 balance balance NN 39713 5268 16 ; ; : 39713 5268 17 in in IN 39713 5268 18 a a DT 39713 5268 19 word word NN 39713 5268 20 it -PRON- PRP 39713 5268 21 is be VBZ 39713 5268 22 all all DT 39713 5268 23 that that WDT 39713 5268 24 introduces introduce VBZ 39713 5268 25 order order NN 39713 5268 26 , , , 39713 5268 27 all all DT 39713 5268 28 that that WDT 39713 5268 29 gives give VBZ 39713 5268 30 unity unity NN 39713 5268 31 , , , 39713 5268 32 that that WDT 39713 5268 33 permits permit VBZ 39713 5268 34 us -PRON- PRP 39713 5268 35 to to TO 39713 5268 36 see see VB 39713 5268 37 clearly clearly RB 39713 5268 38 and and CC 39713 5268 39 to to TO 39713 5268 40 comprehend comprehend VB 39713 5268 41 at at IN 39713 5268 42 once once RB 39713 5268 43 both both CC 39713 5268 44 the the DT 39713 5268 45 _ _ NNP 39713 5268 46 ensemble ensemble JJ 39713 5268 47 _ _ NNP 39713 5268 48 and and CC 39713 5268 49 the the DT 39713 5268 50 details detail NNS 39713 5268 51 . . . 39713 5269 1 But but CC 39713 5269 2 this this DT 39713 5269 3 is be VBZ 39713 5269 4 exactly exactly RB 39713 5269 5 what what WP 39713 5269 6 yields yield VBZ 39713 5269 7 great great JJ 39713 5269 8 results result NNS 39713 5269 9 ; ; : 39713 5269 10 in in IN 39713 5269 11 fact fact NN 39713 5269 12 the the DT 39713 5269 13 more more RBR 39713 5269 14 we -PRON- PRP 39713 5269 15 see see VBP 39713 5269 16 this this DT 39713 5269 17 aggregate aggregate NN 39713 5269 18 clearly clearly RB 39713 5269 19 and and CC 39713 5269 20 at at IN 39713 5269 21 a a DT 39713 5269 22 single single JJ 39713 5269 23 glance glance NN 39713 5269 24 , , , 39713 5269 25 the the DT 39713 5269 26 better well RBR 39713 5269 27 we -PRON- PRP 39713 5269 28 perceive perceive VBP 39713 5269 29 its -PRON- PRP$ 39713 5269 30 analogies analogy NNS 39713 5269 31 with with IN 39713 5269 32 other other JJ 39713 5269 33 neighboring neighboring JJ 39713 5269 34 objects object NNS 39713 5269 35 , , , 39713 5269 36 consequently consequently RB 39713 5269 37 the the DT 39713 5269 38 more more JJR 39713 5269 39 chances chance NNS 39713 5269 40 we -PRON- PRP 39713 5269 41 have have VBP 39713 5269 42 of of IN 39713 5269 43 divining divine VBG 39713 5269 44 the the DT 39713 5269 45 possible possible JJ 39713 5269 46 generalizations generalization NNS 39713 5269 47 . . . 39713 5270 1 Elegance elegance NN 39713 5270 2 may may MD 39713 5270 3 produce produce VB 39713 5270 4 the the DT 39713 5270 5 feeling feeling NN 39713 5270 6 of of IN 39713 5270 7 the the DT 39713 5270 8 unforeseen unforeseen NN 39713 5270 9 by by IN 39713 5270 10 the the DT 39713 5270 11 unexpected unexpected JJ 39713 5270 12 meeting meeting NN 39713 5270 13 of of IN 39713 5270 14 objects object NNS 39713 5270 15 we -PRON- PRP 39713 5270 16 are be VBP 39713 5270 17 not not RB 39713 5270 18 accustomed accustomed JJ 39713 5270 19 to to TO 39713 5270 20 bring bring VB 39713 5270 21 together together RB 39713 5270 22 ; ; : 39713 5270 23 there there EX 39713 5270 24 again again RB 39713 5270 25 it -PRON- PRP 39713 5270 26 is be VBZ 39713 5270 27 fruitful fruitful JJ 39713 5270 28 , , , 39713 5270 29 since since IN 39713 5270 30 it -PRON- PRP 39713 5270 31 thus thus RB 39713 5270 32 unveils unveil VBZ 39713 5270 33 for for IN 39713 5270 34 us us NNP 39713 5270 35 kinships kinship NNS 39713 5270 36 before before IN 39713 5270 37 unrecognized unrecognized JJ 39713 5270 38 . . . 39713 5271 1 It -PRON- PRP 39713 5271 2 is be VBZ 39713 5271 3 fruitful fruitful JJ 39713 5271 4 even even RB 39713 5271 5 when when WRB 39713 5271 6 it -PRON- PRP 39713 5271 7 results result VBZ 39713 5271 8 only only RB 39713 5271 9 from from IN 39713 5271 10 the the DT 39713 5271 11 contrast contrast NN 39713 5271 12 between between IN 39713 5271 13 the the DT 39713 5271 14 simplicity simplicity NN 39713 5271 15 of of IN 39713 5271 16 the the DT 39713 5271 17 means mean NNS 39713 5271 18 and and CC 39713 5271 19 the the DT 39713 5271 20 complexity complexity NN 39713 5271 21 of of IN 39713 5271 22 the the DT 39713 5271 23 problem problem NN 39713 5271 24 set set VBN 39713 5271 25 ; ; : 39713 5271 26 it -PRON- PRP 39713 5271 27 makes make VBZ 39713 5271 28 us -PRON- PRP 39713 5271 29 then then RB 39713 5271 30 think think VB 39713 5271 31 of of IN 39713 5271 32 the the DT 39713 5271 33 reason reason NN 39713 5271 34 for for IN 39713 5271 35 this this DT 39713 5271 36 contrast contrast NN 39713 5271 37 and and CC 39713 5271 38 very very RB 39713 5271 39 often often RB 39713 5271 40 makes make VBZ 39713 5271 41 us -PRON- PRP 39713 5271 42 see see VB 39713 5271 43 that that DT 39713 5271 44 chance chance NN 39713 5271 45 is be VBZ 39713 5271 46 not not RB 39713 5271 47 the the DT 39713 5271 48 reason reason NN 39713 5271 49 ; ; : 39713 5271 50 that that IN 39713 5271 51 it -PRON- PRP 39713 5271 52 is be VBZ 39713 5271 53 to to TO 39713 5271 54 be be VB 39713 5271 55 found find VBN 39713 5271 56 in in IN 39713 5271 57 some some DT 39713 5271 58 unexpected unexpected JJ 39713 5271 59 law law NN 39713 5271 60 . . . 39713 5272 1 In in IN 39713 5272 2 a a DT 39713 5272 3 word word NN 39713 5272 4 , , , 39713 5272 5 the the DT 39713 5272 6 feeling feeling NN 39713 5272 7 of of IN 39713 5272 8 mathematical mathematical JJ 39713 5272 9 elegance elegance NN 39713 5272 10 is be VBZ 39713 5272 11 only only RB 39713 5272 12 the the DT 39713 5272 13 satisfaction satisfaction NN 39713 5272 14 due due IN 39713 5272 15 to to IN 39713 5272 16 any any DT 39713 5272 17 adaptation adaptation NN 39713 5272 18 of of IN 39713 5272 19 the the DT 39713 5272 20 solution solution NN 39713 5272 21 to to IN 39713 5272 22 the the DT 39713 5272 23 needs need NNS 39713 5272 24 of of IN 39713 5272 25 our -PRON- PRP$ 39713 5272 26 mind mind NN 39713 5272 27 , , , 39713 5272 28 and and CC 39713 5272 29 it -PRON- PRP 39713 5272 30 is be VBZ 39713 5272 31 because because IN 39713 5272 32 of of IN 39713 5272 33 this this DT 39713 5272 34 very very JJ 39713 5272 35 adaptation adaptation NN 39713 5272 36 that that IN 39713 5272 37 this this DT 39713 5272 38 solution solution NN 39713 5272 39 can can MD 39713 5272 40 be be VB 39713 5272 41 for for IN 39713 5272 42 us -PRON- PRP 39713 5272 43 an an DT 39713 5272 44 instrument instrument NN 39713 5272 45 . . . 39713 5273 1 Consequently consequently RB 39713 5273 2 this this DT 39713 5273 3 esthetic esthetic JJ 39713 5273 4 satisfaction satisfaction NN 39713 5273 5 is be VBZ 39713 5273 6 bound bind VBN 39713 5273 7 up up RP 39713 5273 8 with with IN 39713 5273 9 the the DT 39713 5273 10 economy economy NN 39713 5273 11 of of IN 39713 5273 12 thought thought NN 39713 5273 13 . . . 39713 5274 1 Again again RB 39713 5274 2 the the DT 39713 5274 3 comparison comparison NN 39713 5274 4 of of IN 39713 5274 5 the the DT 39713 5274 6 Erechtheum Erechtheum NNP 39713 5274 7 comes come VBZ 39713 5274 8 to to IN 39713 5274 9 my -PRON- PRP$ 39713 5274 10 mind mind NN 39713 5274 11 , , , 39713 5274 12 but but CC 39713 5274 13 I -PRON- PRP 39713 5274 14 must must MD 39713 5274 15 not not RB 39713 5274 16 use use VB 39713 5274 17 it -PRON- PRP 39713 5274 18 too too RB 39713 5274 19 often often RB 39713 5274 20 . . . 39713 5275 1 It -PRON- PRP 39713 5275 2 is be VBZ 39713 5275 3 for for IN 39713 5275 4 the the DT 39713 5275 5 same same JJ 39713 5275 6 reason reason NN 39713 5275 7 that that IN 39713 5275 8 , , , 39713 5275 9 when when WRB 39713 5275 10 a a DT 39713 5275 11 rather rather RB 39713 5275 12 long long JJ 39713 5275 13 calculation calculation NN 39713 5275 14 has have VBZ 39713 5275 15 led lead VBN 39713 5275 16 to to IN 39713 5275 17 some some DT 39713 5275 18 simple simple JJ 39713 5275 19 and and CC 39713 5275 20 striking striking JJ 39713 5275 21 result result NN 39713 5275 22 , , , 39713 5275 23 we -PRON- PRP 39713 5275 24 are be VBP 39713 5275 25 not not RB 39713 5275 26 satisfied satisfied JJ 39713 5275 27 until until IN 39713 5275 28 we -PRON- PRP 39713 5275 29 have have VBP 39713 5275 30 shown show VBN 39713 5275 31 that that IN 39713 5275 32 we -PRON- PRP 39713 5275 33 should should MD 39713 5275 34 have have VB 39713 5275 35 been be VBN 39713 5275 36 _ _ NNP 39713 5275 37 able able JJ 39713 5275 38 to to TO 39713 5275 39 foresee foresee VB 39713 5275 40 _ _ NNP 39713 5275 41 , , , 39713 5275 42 if if IN 39713 5275 43 not not RB 39713 5275 44 this this DT 39713 5275 45 entire entire JJ 39713 5275 46 result result NN 39713 5275 47 , , , 39713 5275 48 at at IN 39713 5275 49 least least JJS 39713 5275 50 its -PRON- PRP$ 39713 5275 51 most most RBS 39713 5275 52 characteristic characteristic JJ 39713 5275 53 traits trait NNS 39713 5275 54 . . . 39713 5276 1 Why why WRB 39713 5276 2 ? ? . 39713 5277 1 What what WP 39713 5277 2 prevents prevent VBZ 39713 5277 3 our -PRON- PRP$ 39713 5277 4 being be VBG 39713 5277 5 content content NN 39713 5277 6 with with IN 39713 5277 7 a a DT 39713 5277 8 calculation calculation NN 39713 5277 9 which which WDT 39713 5277 10 has have VBZ 39713 5277 11 told tell VBN 39713 5277 12 us -PRON- PRP 39713 5277 13 , , , 39713 5277 14 it -PRON- PRP 39713 5277 15 seems seem VBZ 39713 5277 16 , , , 39713 5277 17 all all DT 39713 5277 18 we -PRON- PRP 39713 5277 19 wished wish VBD 39713 5277 20 to to TO 39713 5277 21 know know VB 39713 5277 22 ? ? . 39713 5278 1 It -PRON- PRP 39713 5278 2 is be VBZ 39713 5278 3 because because IN 39713 5278 4 , , , 39713 5278 5 in in IN 39713 5278 6 analogous analogous JJ 39713 5278 7 cases case NNS 39713 5278 8 , , , 39713 5278 9 the the DT 39713 5278 10 long long JJ 39713 5278 11 calculation calculation NN 39713 5278 12 might may MD 39713 5278 13 not not RB 39713 5278 14 again again RB 39713 5278 15 avail avail VB 39713 5278 16 , , , 39713 5278 17 and and CC 39713 5278 18 that that IN 39713 5278 19 this this DT 39713 5278 20 is be VBZ 39713 5278 21 not not RB 39713 5278 22 so so RB 39713 5278 23 about about IN 39713 5278 24 the the DT 39713 5278 25 reasoning reasoning NN 39713 5278 26 often often RB 39713 5278 27 half half RB 39713 5278 28 intuitive intuitive JJ 39713 5278 29 which which WDT 39713 5278 30 would would MD 39713 5278 31 have have VB 39713 5278 32 enabled enable VBN 39713 5278 33 us -PRON- PRP 39713 5278 34 to to TO 39713 5278 35 foresee foresee VB 39713 5278 36 . . . 39713 5279 1 This this DT 39713 5279 2 reasoning reasoning NN 39713 5279 3 being be VBG 39713 5279 4 short short JJ 39713 5279 5 , , , 39713 5279 6 we -PRON- PRP 39713 5279 7 see see VBP 39713 5279 8 at at IN 39713 5279 9 a a DT 39713 5279 10 single single JJ 39713 5279 11 glance glance NN 39713 5279 12 all all PDT 39713 5279 13 its -PRON- PRP$ 39713 5279 14 parts part NNS 39713 5279 15 , , , 39713 5279 16 so so IN 39713 5279 17 that that IN 39713 5279 18 we -PRON- PRP 39713 5279 19 immediately immediately RB 39713 5279 20 perceive perceive VBP 39713 5279 21 what what WP 39713 5279 22 must must MD 39713 5279 23 be be VB 39713 5279 24 changed change VBN 39713 5279 25 to to TO 39713 5279 26 adapt adapt VB 39713 5279 27 it -PRON- PRP 39713 5279 28 to to IN 39713 5279 29 all all PDT 39713 5279 30 the the DT 39713 5279 31 problems problem NNS 39713 5279 32 of of IN 39713 5279 33 the the DT 39713 5279 34 same same JJ 39713 5279 35 nature nature NN 39713 5279 36 which which WDT 39713 5279 37 can can MD 39713 5279 38 occur occur VB 39713 5279 39 . . . 39713 5280 1 And and CC 39713 5280 2 then then RB 39713 5280 3 it -PRON- PRP 39713 5280 4 enables enable VBZ 39713 5280 5 us -PRON- PRP 39713 5280 6 to to TO 39713 5280 7 foresee foresee VB 39713 5280 8 if if IN 39713 5280 9 the the DT 39713 5280 10 solution solution NN 39713 5280 11 of of IN 39713 5280 12 these these DT 39713 5280 13 problems problem NNS 39713 5280 14 will will MD 39713 5280 15 be be VB 39713 5280 16 simple simple JJ 39713 5280 17 , , , 39713 5280 18 it -PRON- PRP 39713 5280 19 shows show VBZ 39713 5280 20 us -PRON- PRP 39713 5280 21 at at IN 39713 5280 22 least least JJS 39713 5280 23 if if IN 39713 5280 24 the the DT 39713 5280 25 calculation calculation NN 39713 5280 26 is be VBZ 39713 5280 27 worth worth JJ 39713 5280 28 undertaking undertake VBG 39713 5280 29 . . . 39713 5281 1 What what WP 39713 5281 2 we -PRON- PRP 39713 5281 3 have have VBP 39713 5281 4 just just RB 39713 5281 5 said say VBN 39713 5281 6 suffices suffice NNS 39713 5281 7 to to TO 39713 5281 8 show show VB 39713 5281 9 how how WRB 39713 5281 10 vain vain JJ 39713 5281 11 it -PRON- PRP 39713 5281 12 would would MD 39713 5281 13 be be VB 39713 5281 14 to to TO 39713 5281 15 seek seek VB 39713 5281 16 to to TO 39713 5281 17 replace replace VB 39713 5281 18 by by IN 39713 5281 19 any any DT 39713 5281 20 mechanical mechanical JJ 39713 5281 21 procedure procedure NN 39713 5281 22 the the DT 39713 5281 23 free free JJ 39713 5281 24 initiative initiative NN 39713 5281 25 of of IN 39713 5281 26 the the DT 39713 5281 27 mathematician mathematician NN 39713 5281 28 . . . 39713 5282 1 To to TO 39713 5282 2 obtain obtain VB 39713 5282 3 a a DT 39713 5282 4 result result NN 39713 5282 5 of of IN 39713 5282 6 real real JJ 39713 5282 7 value value NN 39713 5282 8 , , , 39713 5282 9 it -PRON- PRP 39713 5282 10 is be VBZ 39713 5282 11 not not RB 39713 5282 12 enough enough JJ 39713 5282 13 to to TO 39713 5282 14 grind grind VB 39713 5282 15 out out RP 39713 5282 16 calculations calculation NNS 39713 5282 17 , , , 39713 5282 18 or or CC 39713 5282 19 to to TO 39713 5282 20 have have VB 39713 5282 21 a a DT 39713 5282 22 machine machine NN 39713 5282 23 to to TO 39713 5282 24 put put VB 39713 5282 25 things thing NNS 39713 5282 26 in in IN 39713 5282 27 order order NN 39713 5282 28 ; ; : 39713 5282 29 it -PRON- PRP 39713 5282 30 is be VBZ 39713 5282 31 not not RB 39713 5282 32 order order NN 39713 5282 33 alone alone RB 39713 5282 34 , , , 39713 5282 35 it -PRON- PRP 39713 5282 36 is be VBZ 39713 5282 37 unexpected unexpected JJ 39713 5282 38 order order NN 39713 5282 39 , , , 39713 5282 40 which which WDT 39713 5282 41 is be VBZ 39713 5282 42 worth worth JJ 39713 5282 43 while while IN 39713 5282 44 . . . 39713 5283 1 The the DT 39713 5283 2 machine machine NN 39713 5283 3 may may MD 39713 5283 4 gnaw gnaw VB 39713 5283 5 on on IN 39713 5283 6 the the DT 39713 5283 7 crude crude JJ 39713 5283 8 fact fact NN 39713 5283 9 , , , 39713 5283 10 the the DT 39713 5283 11 soul soul NN 39713 5283 12 of of IN 39713 5283 13 the the DT 39713 5283 14 fact fact NN 39713 5283 15 will will MD 39713 5283 16 always always RB 39713 5283 17 escape escape VB 39713 5283 18 it -PRON- PRP 39713 5283 19 . . . 39713 5284 1 Since since IN 39713 5284 2 the the DT 39713 5284 3 middle middle NN 39713 5284 4 of of IN 39713 5284 5 the the DT 39713 5284 6 last last JJ 39713 5284 7 century century NN 39713 5284 8 , , , 39713 5284 9 mathematicians mathematician NNS 39713 5284 10 are be VBP 39713 5284 11 more more RBR 39713 5284 12 and and CC 39713 5284 13 more more RBR 39713 5284 14 desirous desirous JJ 39713 5284 15 of of IN 39713 5284 16 attaining attain VBG 39713 5284 17 absolute absolute JJ 39713 5284 18 rigor rigor NN 39713 5284 19 ; ; : 39713 5284 20 they -PRON- PRP 39713 5284 21 are be VBP 39713 5284 22 right right JJ 39713 5284 23 , , , 39713 5284 24 and and CC 39713 5284 25 this this DT 39713 5284 26 tendency tendency NN 39713 5284 27 will will MD 39713 5284 28 be be VB 39713 5284 29 more more RBR 39713 5284 30 and and CC 39713 5284 31 more more RBR 39713 5284 32 accentuated accentuated JJ 39713 5284 33 . . . 39713 5285 1 In in IN 39713 5285 2 mathematics mathematic NNS 39713 5285 3 rigor rigor NN 39713 5285 4 is be VBZ 39713 5285 5 not not RB 39713 5285 6 everything everything NN 39713 5285 7 , , , 39713 5285 8 but but CC 39713 5285 9 without without IN 39713 5285 10 it -PRON- PRP 39713 5285 11 there there EX 39713 5285 12 is be VBZ 39713 5285 13 nothing nothing NN 39713 5285 14 . . . 39713 5286 1 A a DT 39713 5286 2 demonstration demonstration NN 39713 5286 3 which which WDT 39713 5286 4 is be VBZ 39713 5286 5 not not RB 39713 5286 6 rigorous rigorous JJ 39713 5286 7 is be VBZ 39713 5286 8 nothingness nothingness JJ 39713 5286 9 . . . 39713 5287 1 I -PRON- PRP 39713 5287 2 think think VBP 39713 5287 3 no no DT 39713 5287 4 one one NN 39713 5287 5 will will MD 39713 5287 6 contest contest VB 39713 5287 7 this this DT 39713 5287 8 truth truth NN 39713 5287 9 . . . 39713 5288 1 But but CC 39713 5288 2 if if IN 39713 5288 3 it -PRON- PRP 39713 5288 4 were be VBD 39713 5288 5 taken take VBN 39713 5288 6 too too RB 39713 5288 7 literally literally RB 39713 5288 8 , , , 39713 5288 9 we -PRON- PRP 39713 5288 10 should should MD 39713 5288 11 be be VB 39713 5288 12 led lead VBN 39713 5288 13 to to TO 39713 5288 14 conclude conclude VB 39713 5288 15 that that IN 39713 5288 16 before before IN 39713 5288 17 1820 1820 CD 39713 5288 18 , , , 39713 5288 19 for for IN 39713 5288 20 example example NN 39713 5288 21 , , , 39713 5288 22 there there EX 39713 5288 23 was be VBD 39713 5288 24 no no DT 39713 5288 25 mathematics mathematic NNS 39713 5288 26 ; ; : 39713 5288 27 this this DT 39713 5288 28 would would MD 39713 5288 29 be be VB 39713 5288 30 manifestly manifestly RB 39713 5288 31 excessive excessive JJ 39713 5288 32 ; ; : 39713 5288 33 the the DT 39713 5288 34 geometers geometer NNS 39713 5288 35 of of IN 39713 5288 36 that that DT 39713 5288 37 time time NN 39713 5288 38 understood understand VBD 39713 5288 39 voluntarily voluntarily RB 39713 5288 40 what what WP 39713 5288 41 we -PRON- PRP 39713 5288 42 explain explain VBP 39713 5288 43 by by IN 39713 5288 44 prolix prolix JJ 39713 5288 45 discourse discourse NN 39713 5288 46 . . . 39713 5289 1 This this DT 39713 5289 2 does do VBZ 39713 5289 3 not not RB 39713 5289 4 mean mean VB 39713 5289 5 that that IN 39713 5289 6 they -PRON- PRP 39713 5289 7 did do VBD 39713 5289 8 not not RB 39713 5289 9 see see VB 39713 5289 10 it -PRON- PRP 39713 5289 11 at at RB 39713 5289 12 all all RB 39713 5289 13 ; ; : 39713 5289 14 but but CC 39713 5289 15 they -PRON- PRP 39713 5289 16 passed pass VBD 39713 5289 17 over over IN 39713 5289 18 it -PRON- PRP 39713 5289 19 too too RB 39713 5289 20 rapidly rapidly RB 39713 5289 21 , , , 39713 5289 22 and and CC 39713 5289 23 to to TO 39713 5289 24 see see VB 39713 5289 25 it -PRON- PRP 39713 5289 26 well well RB 39713 5289 27 would would MD 39713 5289 28 have have VB 39713 5289 29 necessitated necessitate VBN 39713 5289 30 taking take VBG 39713 5289 31 the the DT 39713 5289 32 pains pain NNS 39713 5289 33 to to TO 39713 5289 34 say say VB 39713 5289 35 it -PRON- PRP 39713 5289 36 . . . 39713 5290 1 But but CC 39713 5290 2 is be VBZ 39713 5290 3 it -PRON- PRP 39713 5290 4 always always RB 39713 5290 5 needful needful JJ 39713 5290 6 to to TO 39713 5290 7 say say VB 39713 5290 8 it -PRON- PRP 39713 5290 9 so so RB 39713 5290 10 many many JJ 39713 5290 11 times time NNS 39713 5290 12 ? ? . 39713 5291 1 Those those DT 39713 5291 2 who who WP 39713 5291 3 were be VBD 39713 5291 4 the the DT 39713 5291 5 first first JJ 39713 5291 6 to to TO 39713 5291 7 emphasize emphasize VB 39713 5291 8 exactness exactness NN 39713 5291 9 before before IN 39713 5291 10 all all DT 39713 5291 11 else else RB 39713 5291 12 have have VBP 39713 5291 13 given give VBN 39713 5291 14 us -PRON- PRP 39713 5291 15 arguments argument NNS 39713 5291 16 that that IN 39713 5291 17 we -PRON- PRP 39713 5291 18 may may MD 39713 5291 19 try try VB 39713 5291 20 to to TO 39713 5291 21 imitate imitate VB 39713 5291 22 ; ; : 39713 5291 23 but but CC 39713 5291 24 if if IN 39713 5291 25 the the DT 39713 5291 26 demonstrations demonstration NNS 39713 5291 27 of of IN 39713 5291 28 the the DT 39713 5291 29 future future NN 39713 5291 30 are be VBP 39713 5291 31 to to TO 39713 5291 32 be be VB 39713 5291 33 built build VBN 39713 5291 34 on on IN 39713 5291 35 this this DT 39713 5291 36 model model NN 39713 5291 37 , , , 39713 5291 38 mathematical mathematical JJ 39713 5291 39 treatises treatise NNS 39713 5291 40 will will MD 39713 5291 41 be be VB 39713 5291 42 very very RB 39713 5291 43 long long JJ 39713 5291 44 ; ; : 39713 5291 45 and and CC 39713 5291 46 if if IN 39713 5291 47 I -PRON- PRP 39713 5291 48 fear fear VBP 39713 5291 49 the the DT 39713 5291 50 lengthenings lengthening NNS 39713 5291 51 , , , 39713 5291 52 it -PRON- PRP 39713 5291 53 is be VBZ 39713 5291 54 not not RB 39713 5291 55 solely solely RB 39713 5291 56 because because IN 39713 5291 57 I -PRON- PRP 39713 5291 58 deprecate deprecate VBP 39713 5291 59 encumbering encumber VBG 39713 5291 60 libraries library NNS 39713 5291 61 , , , 39713 5291 62 but but CC 39713 5291 63 because because IN 39713 5291 64 I -PRON- PRP 39713 5291 65 fear fear VBP 39713 5291 66 that that IN 39713 5291 67 in in IN 39713 5291 68 being be VBG 39713 5291 69 lengthened lengthen VBN 39713 5291 70 out out RP 39713 5291 71 , , , 39713 5291 72 our -PRON- PRP$ 39713 5291 73 demonstrations demonstration NNS 39713 5291 74 may may MD 39713 5291 75 lose lose VB 39713 5291 76 that that DT 39713 5291 77 appearance appearance NN 39713 5291 78 of of IN 39713 5291 79 harmony harmony NN 39713 5291 80 whose whose WP$ 39713 5291 81 usefulness usefulness NN 39713 5291 82 I -PRON- PRP 39713 5291 83 have have VBP 39713 5291 84 just just RB 39713 5291 85 explained explain VBN 39713 5291 86 . . . 39713 5292 1 The the DT 39713 5292 2 economy economy NN 39713 5292 3 of of IN 39713 5292 4 thought thought NN 39713 5292 5 is be VBZ 39713 5292 6 what what WP 39713 5292 7 we -PRON- PRP 39713 5292 8 should should MD 39713 5292 9 aim aim VB 39713 5292 10 at at IN 39713 5292 11 , , , 39713 5292 12 so so CC 39713 5292 13 it -PRON- PRP 39713 5292 14 is be VBZ 39713 5292 15 not not RB 39713 5292 16 enough enough JJ 39713 5292 17 to to TO 39713 5292 18 supply supply VB 39713 5292 19 models model NNS 39713 5292 20 for for IN 39713 5292 21 imitation imitation NN 39713 5292 22 . . . 39713 5293 1 It -PRON- PRP 39713 5293 2 is be VBZ 39713 5293 3 needful needful JJ 39713 5293 4 for for IN 39713 5293 5 those those DT 39713 5293 6 after after IN 39713 5293 7 us -PRON- PRP 39713 5293 8 to to TO 39713 5293 9 be be VB 39713 5293 10 able able JJ 39713 5293 11 to to TO 39713 5293 12 dispense dispense VB 39713 5293 13 with with IN 39713 5293 14 these these DT 39713 5293 15 models model NNS 39713 5293 16 and and CC 39713 5293 17 , , , 39713 5293 18 in in IN 39713 5293 19 place place NN 39713 5293 20 of of IN 39713 5293 21 repeating repeat VBG 39713 5293 22 an an DT 39713 5293 23 argument argument NN 39713 5293 24 already already RB 39713 5293 25 made make VBN 39713 5293 26 , , , 39713 5293 27 summarize summarize VB 39713 5293 28 it -PRON- PRP 39713 5293 29 in in IN 39713 5293 30 a a DT 39713 5293 31 few few JJ 39713 5293 32 words word NNS 39713 5293 33 . . . 39713 5294 1 And and CC 39713 5294 2 this this DT 39713 5294 3 has have VBZ 39713 5294 4 already already RB 39713 5294 5 been be VBN 39713 5294 6 attained attain VBN 39713 5294 7 at at IN 39713 5294 8 times time NNS 39713 5294 9 . . . 39713 5295 1 For for IN 39713 5295 2 instance instance NN 39713 5295 3 , , , 39713 5295 4 there there EX 39713 5295 5 was be VBD 39713 5295 6 a a DT 39713 5295 7 type type NN 39713 5295 8 of of IN 39713 5295 9 reasoning reasoning NN 39713 5295 10 found find VBD 39713 5295 11 everywhere everywhere RB 39713 5295 12 , , , 39713 5295 13 and and CC 39713 5295 14 everywhere everywhere RB 39713 5295 15 alike alike RB 39713 5295 16 . . . 39713 5296 1 They -PRON- PRP 39713 5296 2 were be VBD 39713 5296 3 perfectly perfectly RB 39713 5296 4 exact exact JJ 39713 5296 5 but but CC 39713 5296 6 long long JJ 39713 5296 7 . . . 39713 5297 1 Then then RB 39713 5297 2 all all DT 39713 5297 3 at at IN 39713 5297 4 once once RB 39713 5297 5 the the DT 39713 5297 6 phrase phrase NN 39713 5297 7 ' ' POS 39713 5297 8 uniformity uniformity NN 39713 5297 9 of of IN 39713 5297 10 convergence convergence NN 39713 5297 11 ' ' '' 39713 5297 12 was be VBD 39713 5297 13 hit hit VBN 39713 5297 14 upon upon IN 39713 5297 15 and and CC 39713 5297 16 this this DT 39713 5297 17 phrase phrase NN 39713 5297 18 made make VBD 39713 5297 19 those those DT 39713 5297 20 arguments argument NNS 39713 5297 21 needless needless JJ 39713 5297 22 ; ; : 39713 5297 23 we -PRON- PRP 39713 5297 24 were be VBD 39713 5297 25 no no RB 39713 5297 26 longer long RBR 39713 5297 27 called call VBN 39713 5297 28 upon upon IN 39713 5297 29 to to TO 39713 5297 30 repeat repeat VB 39713 5297 31 them -PRON- PRP 39713 5297 32 , , , 39713 5297 33 since since IN 39713 5297 34 they -PRON- PRP 39713 5297 35 could could MD 39713 5297 36 be be VB 39713 5297 37 understood understand VBN 39713 5297 38 . . . 39713 5298 1 Those those DT 39713 5298 2 who who WP 39713 5298 3 conquer conquer VBP 39713 5298 4 difficulties difficulty NNS 39713 5298 5 then then RB 39713 5298 6 do do VBP 39713 5298 7 us -PRON- PRP 39713 5298 8 a a DT 39713 5298 9 double double JJ 39713 5298 10 service service NN 39713 5298 11 : : : 39713 5298 12 first first RB 39713 5298 13 they -PRON- PRP 39713 5298 14 teach teach VBP 39713 5298 15 us -PRON- PRP 39713 5298 16 to to TO 39713 5298 17 do do VB 39713 5298 18 as as IN 39713 5298 19 they -PRON- PRP 39713 5298 20 at at IN 39713 5298 21 need need NN 39713 5298 22 , , , 39713 5298 23 but but CC 39713 5298 24 above above IN 39713 5298 25 all all DT 39713 5298 26 they -PRON- PRP 39713 5298 27 enable enable VBP 39713 5298 28 us -PRON- PRP 39713 5298 29 as as RB 39713 5298 30 often often RB 39713 5298 31 as as IN 39713 5298 32 possible possible JJ 39713 5298 33 to to TO 39713 5298 34 avoid avoid VB 39713 5298 35 doing do VBG 39713 5298 36 as as IN 39713 5298 37 they -PRON- PRP 39713 5298 38 , , , 39713 5298 39 yet yet CC 39713 5298 40 without without IN 39713 5298 41 sacrifice sacrifice NN 39713 5298 42 of of IN 39713 5298 43 exactness exactness NN 39713 5298 44 . . . 39713 5299 1 We -PRON- PRP 39713 5299 2 have have VBP 39713 5299 3 just just RB 39713 5299 4 seen see VBN 39713 5299 5 by by IN 39713 5299 6 one one CD 39713 5299 7 example example NN 39713 5299 8 the the DT 39713 5299 9 importance importance NN 39713 5299 10 of of IN 39713 5299 11 words word NNS 39713 5299 12 in in IN 39713 5299 13 mathematics mathematic NNS 39713 5299 14 , , , 39713 5299 15 but but CC 39713 5299 16 many many JJ 39713 5299 17 others other NNS 39713 5299 18 could could MD 39713 5299 19 be be VB 39713 5299 20 cited cite VBN 39713 5299 21 . . . 39713 5300 1 It -PRON- PRP 39713 5300 2 is be VBZ 39713 5300 3 hard hard JJ 39713 5300 4 to to TO 39713 5300 5 believe believe VB 39713 5300 6 how how WRB 39713 5300 7 much much JJ 39713 5300 8 a a DT 39713 5300 9 well well RB 39713 5300 10 - - HYPH 39713 5300 11 chosen choose VBN 39713 5300 12 word word NN 39713 5300 13 can can MD 39713 5300 14 economize economize VB 39713 5300 15 thought think VBN 39713 5300 16 , , , 39713 5300 17 as as IN 39713 5300 18 Mach Mach NNP 39713 5300 19 says say VBZ 39713 5300 20 . . . 39713 5301 1 Perhaps perhaps RB 39713 5301 2 I -PRON- PRP 39713 5301 3 have have VBP 39713 5301 4 already already RB 39713 5301 5 said say VBN 39713 5301 6 somewhere somewhere RB 39713 5301 7 that that IN 39713 5301 8 mathematics mathematics NN 39713 5301 9 is be VBZ 39713 5301 10 the the DT 39713 5301 11 art art NN 39713 5301 12 of of IN 39713 5301 13 giving give VBG 39713 5301 14 the the DT 39713 5301 15 same same JJ 39713 5301 16 name name NN 39713 5301 17 to to IN 39713 5301 18 different different JJ 39713 5301 19 things thing NNS 39713 5301 20 . . . 39713 5302 1 It -PRON- PRP 39713 5302 2 is be VBZ 39713 5302 3 proper proper JJ 39713 5302 4 that that IN 39713 5302 5 these these DT 39713 5302 6 things thing NNS 39713 5302 7 , , , 39713 5302 8 differing differ VBG 39713 5302 9 in in IN 39713 5302 10 matter matter NN 39713 5302 11 , , , 39713 5302 12 be be VB 39713 5302 13 alike alike RB 39713 5302 14 in in IN 39713 5302 15 form form NN 39713 5302 16 , , , 39713 5302 17 that that IN 39713 5302 18 they -PRON- PRP 39713 5302 19 may may MD 39713 5302 20 , , , 39713 5302 21 so so RB 39713 5302 22 to to TO 39713 5302 23 speak speak VB 39713 5302 24 , , , 39713 5302 25 run run VB 39713 5302 26 in in IN 39713 5302 27 the the DT 39713 5302 28 same same JJ 39713 5302 29 mold mold NN 39713 5302 30 . . . 39713 5303 1 When when WRB 39713 5303 2 the the DT 39713 5303 3 language language NN 39713 5303 4 has have VBZ 39713 5303 5 been be VBN 39713 5303 6 well well RB 39713 5303 7 chosen choose VBN 39713 5303 8 , , , 39713 5303 9 we -PRON- PRP 39713 5303 10 are be VBP 39713 5303 11 astonished astonish VBN 39713 5303 12 to to TO 39713 5303 13 see see VB 39713 5303 14 that that IN 39713 5303 15 all all PDT 39713 5303 16 the the DT 39713 5303 17 proofs proof NNS 39713 5303 18 made make VBN 39713 5303 19 for for IN 39713 5303 20 a a DT 39713 5303 21 certain certain JJ 39713 5303 22 object object NN 39713 5303 23 apply apply VBP 39713 5303 24 immediately immediately RB 39713 5303 25 to to IN 39713 5303 26 many many JJ 39713 5303 27 new new JJ 39713 5303 28 objects object NNS 39713 5303 29 ; ; : 39713 5303 30 there there EX 39713 5303 31 is be VBZ 39713 5303 32 nothing nothing NN 39713 5303 33 to to TO 39713 5303 34 change change VB 39713 5303 35 , , , 39713 5303 36 not not RB 39713 5303 37 even even RB 39713 5303 38 the the DT 39713 5303 39 words word NNS 39713 5303 40 , , , 39713 5303 41 since since IN 39713 5303 42 the the DT 39713 5303 43 names name NNS 39713 5303 44 have have VBP 39713 5303 45 become become VBN 39713 5303 46 the the DT 39713 5303 47 same same JJ 39713 5303 48 . . . 39713 5304 1 A a DT 39713 5304 2 well well RB 39713 5304 3 - - HYPH 39713 5304 4 chosen choose VBN 39713 5304 5 word word NN 39713 5304 6 usually usually RB 39713 5304 7 suffices suffice VBZ 39713 5304 8 to to TO 39713 5304 9 do do VB 39713 5304 10 away away RB 39713 5304 11 with with IN 39713 5304 12 the the DT 39713 5304 13 exceptions exception NNS 39713 5304 14 from from IN 39713 5304 15 which which WDT 39713 5304 16 the the DT 39713 5304 17 rules rule NNS 39713 5304 18 stated state VBD 39713 5304 19 in in IN 39713 5304 20 the the DT 39713 5304 21 old old JJ 39713 5304 22 way way NN 39713 5304 23 suffer suffer VB 39713 5304 24 ; ; : 39713 5304 25 this this DT 39713 5304 26 is be VBZ 39713 5304 27 why why WRB 39713 5304 28 we -PRON- PRP 39713 5304 29 have have VBP 39713 5304 30 created create VBN 39713 5304 31 negative negative JJ 39713 5304 32 quantities quantity NNS 39713 5304 33 , , , 39713 5304 34 imaginaries imaginary NNS 39713 5304 35 , , , 39713 5304 36 points point VBZ 39713 5304 37 at at IN 39713 5304 38 infinity infinity NN 39713 5304 39 , , , 39713 5304 40 and and CC 39713 5304 41 what what WP 39713 5304 42 not not RB 39713 5304 43 . . . 39713 5305 1 And and CC 39713 5305 2 exceptions exception NNS 39713 5305 3 , , , 39713 5305 4 we -PRON- PRP 39713 5305 5 must must MD 39713 5305 6 not not RB 39713 5305 7 forget forget VB 39713 5305 8 , , , 39713 5305 9 are be VBP 39713 5305 10 pernicious pernicious JJ 39713 5305 11 because because IN 39713 5305 12 they -PRON- PRP 39713 5305 13 hide hide VBP 39713 5305 14 the the DT 39713 5305 15 laws law NNS 39713 5305 16 . . . 39713 5306 1 Well well UH 39713 5306 2 , , , 39713 5306 3 this this DT 39713 5306 4 is be VBZ 39713 5306 5 one one CD 39713 5306 6 of of IN 39713 5306 7 the the DT 39713 5306 8 characteristics characteristic NNS 39713 5306 9 by by IN 39713 5306 10 which which WDT 39713 5306 11 we -PRON- PRP 39713 5306 12 recognize recognize VBP 39713 5306 13 the the DT 39713 5306 14 facts fact NNS 39713 5306 15 which which WDT 39713 5306 16 yield yield VBP 39713 5306 17 great great JJ 39713 5306 18 results result NNS 39713 5306 19 . . . 39713 5307 1 They -PRON- PRP 39713 5307 2 are be VBP 39713 5307 3 those those DT 39713 5307 4 which which WDT 39713 5307 5 allow allow VBP 39713 5307 6 of of IN 39713 5307 7 these these DT 39713 5307 8 happy happy JJ 39713 5307 9 innovations innovation NNS 39713 5307 10 of of IN 39713 5307 11 language language NN 39713 5307 12 . . . 39713 5308 1 The the DT 39713 5308 2 crude crude JJ 39713 5308 3 fact fact NN 39713 5308 4 then then RB 39713 5308 5 is be VBZ 39713 5308 6 often often RB 39713 5308 7 of of IN 39713 5308 8 no no DT 39713 5308 9 great great JJ 39713 5308 10 interest interest NN 39713 5308 11 ; ; : 39713 5308 12 we -PRON- PRP 39713 5308 13 may may MD 39713 5308 14 point point VB 39713 5308 15 it -PRON- PRP 39713 5308 16 out out RP 39713 5308 17 many many JJ 39713 5308 18 times time NNS 39713 5308 19 without without IN 39713 5308 20 having have VBG 39713 5308 21 rendered render VBN 39713 5308 22 great great JJ 39713 5308 23 service service NN 39713 5308 24 to to IN 39713 5308 25 science science NN 39713 5308 26 . . . 39713 5309 1 It -PRON- PRP 39713 5309 2 takes take VBZ 39713 5309 3 value value NN 39713 5309 4 only only RB 39713 5309 5 when when WRB 39713 5309 6 a a DT 39713 5309 7 wiser wise JJR 39713 5309 8 thinker thinker NN 39713 5309 9 perceives perceive VBZ 39713 5309 10 the the DT 39713 5309 11 relation relation NN 39713 5309 12 for for IN 39713 5309 13 which which WDT 39713 5309 14 it -PRON- PRP 39713 5309 15 stands stand VBZ 39713 5309 16 , , , 39713 5309 17 and and CC 39713 5309 18 symbolizes symbolize VBZ 39713 5309 19 it -PRON- PRP 39713 5309 20 by by IN 39713 5309 21 a a DT 39713 5309 22 word word NN 39713 5309 23 . . . 39713 5310 1 Moreover moreover RB 39713 5310 2 the the DT 39713 5310 3 physicists physicist NNS 39713 5310 4 do do VBP 39713 5310 5 just just RB 39713 5310 6 the the DT 39713 5310 7 same same JJ 39713 5310 8 . . . 39713 5311 1 They -PRON- PRP 39713 5311 2 have have VBP 39713 5311 3 invented invent VBN 39713 5311 4 the the DT 39713 5311 5 word word NN 39713 5311 6 ' ' '' 39713 5311 7 energy energy NN 39713 5311 8 , , , 39713 5311 9 ' ' '' 39713 5311 10 and and CC 39713 5311 11 this this DT 39713 5311 12 word word NN 39713 5311 13 has have VBZ 39713 5311 14 been be VBN 39713 5311 15 prodigiously prodigiously RB 39713 5311 16 fruitful fruitful JJ 39713 5311 17 , , , 39713 5311 18 because because IN 39713 5311 19 it -PRON- PRP 39713 5311 20 also also RB 39713 5311 21 made make VBD 39713 5311 22 the the DT 39713 5311 23 law law NN 39713 5311 24 by by IN 39713 5311 25 eliminating eliminate VBG 39713 5311 26 the the DT 39713 5311 27 exceptions exception NNS 39713 5311 28 , , , 39713 5311 29 since since IN 39713 5311 30 it -PRON- PRP 39713 5311 31 gave give VBD 39713 5311 32 the the DT 39713 5311 33 same same JJ 39713 5311 34 name name NN 39713 5311 35 to to IN 39713 5311 36 things thing NNS 39713 5311 37 differing differ VBG 39713 5311 38 in in IN 39713 5311 39 matter matter NN 39713 5311 40 and and CC 39713 5311 41 like like UH 39713 5311 42 in in IN 39713 5311 43 form form NN 39713 5311 44 . . . 39713 5312 1 Among among IN 39713 5312 2 words word NNS 39713 5312 3 that that WDT 39713 5312 4 have have VBP 39713 5312 5 had have VBN 39713 5312 6 the the DT 39713 5312 7 most most RBS 39713 5312 8 fortunate fortunate JJ 39713 5312 9 influence influence NN 39713 5312 10 I -PRON- PRP 39713 5312 11 would would MD 39713 5312 12 select select VB 39713 5312 13 ' ' `` 39713 5312 14 group group NN 39713 5312 15 ' ' '' 39713 5312 16 and and CC 39713 5312 17 ' ' `` 39713 5312 18 invariant invariant JJ 39713 5312 19 . . . 39713 5312 20 ' ' '' 39713 5313 1 They -PRON- PRP 39713 5313 2 have have VBP 39713 5313 3 made make VBN 39713 5313 4 us -PRON- PRP 39713 5313 5 see see VB 39713 5313 6 the the DT 39713 5313 7 essence essence NN 39713 5313 8 of of IN 39713 5313 9 many many JJ 39713 5313 10 mathematical mathematical JJ 39713 5313 11 reasonings reasoning NNS 39713 5313 12 ; ; : 39713 5313 13 they -PRON- PRP 39713 5313 14 have have VBP 39713 5313 15 shown show VBN 39713 5313 16 us -PRON- PRP 39713 5313 17 in in IN 39713 5313 18 how how WRB 39713 5313 19 many many JJ 39713 5313 20 cases case NNS 39713 5313 21 the the DT 39713 5313 22 old old JJ 39713 5313 23 mathematicians mathematician NNS 39713 5313 24 considered consider VBD 39713 5313 25 groups group NNS 39713 5313 26 without without IN 39713 5313 27 knowing know VBG 39713 5313 28 it -PRON- PRP 39713 5313 29 , , , 39713 5313 30 and and CC 39713 5313 31 how how WRB 39713 5313 32 , , , 39713 5313 33 believing believe VBG 39713 5313 34 themselves -PRON- PRP 39713 5313 35 far far RB 39713 5313 36 from from IN 39713 5313 37 one one CD 39713 5313 38 another another DT 39713 5313 39 , , , 39713 5313 40 they -PRON- PRP 39713 5313 41 suddenly suddenly RB 39713 5313 42 found find VBD 39713 5313 43 themselves -PRON- PRP 39713 5313 44 near near RB 39713 5313 45 without without IN 39713 5313 46 knowing know VBG 39713 5313 47 why why WRB 39713 5313 48 . . . 39713 5314 1 To to IN 39713 5314 2 - - HYPH 39713 5314 3 day day NN 39713 5314 4 we -PRON- PRP 39713 5314 5 should should MD 39713 5314 6 say say VB 39713 5314 7 that that IN 39713 5314 8 they -PRON- PRP 39713 5314 9 had have VBD 39713 5314 10 dealt deal VBN 39713 5314 11 with with IN 39713 5314 12 isomorphic isomorphic JJ 39713 5314 13 groups group NNS 39713 5314 14 . . . 39713 5315 1 We -PRON- PRP 39713 5315 2 now now RB 39713 5315 3 know know VBP 39713 5315 4 that that IN 39713 5315 5 in in IN 39713 5315 6 a a DT 39713 5315 7 group group NN 39713 5315 8 the the DT 39713 5315 9 matter matter NN 39713 5315 10 is be VBZ 39713 5315 11 of of IN 39713 5315 12 little little JJ 39713 5315 13 interest interest NN 39713 5315 14 , , , 39713 5315 15 the the DT 39713 5315 16 form form NN 39713 5315 17 alone alone RB 39713 5315 18 counts count VBZ 39713 5315 19 , , , 39713 5315 20 and and CC 39713 5315 21 that that IN 39713 5315 22 when when WRB 39713 5315 23 we -PRON- PRP 39713 5315 24 know know VBP 39713 5315 25 a a DT 39713 5315 26 group group NN 39713 5315 27 we -PRON- PRP 39713 5315 28 thus thus RB 39713 5315 29 know know VBP 39713 5315 30 all all PDT 39713 5315 31 the the DT 39713 5315 32 isomorphic isomorphic JJ 39713 5315 33 groups group NNS 39713 5315 34 ; ; : 39713 5315 35 and and CC 39713 5315 36 thanks thank NNS 39713 5315 37 to to IN 39713 5315 38 these these DT 39713 5315 39 words word NNS 39713 5315 40 ' ' POS 39713 5315 41 group group NN 39713 5315 42 ' ' '' 39713 5315 43 and and CC 39713 5315 44 ' ' `` 39713 5315 45 isomorphism isomorphism NN 39713 5315 46 , , , 39713 5315 47 ' ' '' 39713 5315 48 which which WDT 39713 5315 49 condense condense VBP 39713 5315 50 in in IN 39713 5315 51 a a DT 39713 5315 52 few few JJ 39713 5315 53 syllables syllable NNS 39713 5315 54 this this DT 39713 5315 55 subtile subtile NN 39713 5315 56 rule rule NN 39713 5315 57 and and CC 39713 5315 58 quickly quickly RB 39713 5315 59 make make VB 39713 5315 60 it -PRON- PRP 39713 5315 61 familiar familiar JJ 39713 5315 62 to to IN 39713 5315 63 all all DT 39713 5315 64 minds mind NNS 39713 5315 65 , , , 39713 5315 66 the the DT 39713 5315 67 transition transition NN 39713 5315 68 is be VBZ 39713 5315 69 immediate immediate JJ 39713 5315 70 and and CC 39713 5315 71 can can MD 39713 5315 72 be be VB 39713 5315 73 done do VBN 39713 5315 74 with with IN 39713 5315 75 every every DT 39713 5315 76 economy economy NN 39713 5315 77 of of IN 39713 5315 78 thought thought NN 39713 5315 79 effort effort NN 39713 5315 80 . . . 39713 5316 1 The the DT 39713 5316 2 idea idea NN 39713 5316 3 of of IN 39713 5316 4 group group NN 39713 5316 5 besides besides IN 39713 5316 6 attaches attache NNS 39713 5316 7 to to IN 39713 5316 8 that that DT 39713 5316 9 of of IN 39713 5316 10 transformation transformation NN 39713 5316 11 . . . 39713 5317 1 Why why WRB 39713 5317 2 do do VBP 39713 5317 3 we -PRON- PRP 39713 5317 4 put put VB 39713 5317 5 such such PDT 39713 5317 6 a a DT 39713 5317 7 value value NN 39713 5317 8 on on IN 39713 5317 9 the the DT 39713 5317 10 invention invention NN 39713 5317 11 of of IN 39713 5317 12 a a DT 39713 5317 13 new new JJ 39713 5317 14 transformation transformation NN 39713 5317 15 ? ? . 39713 5318 1 Because because IN 39713 5318 2 from from IN 39713 5318 3 a a DT 39713 5318 4 single single JJ 39713 5318 5 theorem theorem NN 39713 5318 6 it -PRON- PRP 39713 5318 7 enables enable VBZ 39713 5318 8 us -PRON- PRP 39713 5318 9 to to TO 39713 5318 10 get get VB 39713 5318 11 ten ten CD 39713 5318 12 or or CC 39713 5318 13 twenty twenty CD 39713 5318 14 ; ; : 39713 5318 15 it -PRON- PRP 39713 5318 16 has have VBZ 39713 5318 17 the the DT 39713 5318 18 same same JJ 39713 5318 19 value value NN 39713 5318 20 as as IN 39713 5318 21 a a DT 39713 5318 22 zero zero CD 39713 5318 23 adjoined adjoin VBN 39713 5318 24 to to IN 39713 5318 25 the the DT 39713 5318 26 right right NN 39713 5318 27 of of IN 39713 5318 28 a a DT 39713 5318 29 whole whole JJ 39713 5318 30 number number NN 39713 5318 31 . . . 39713 5319 1 This this DT 39713 5319 2 then then RB 39713 5319 3 it -PRON- PRP 39713 5319 4 is be VBZ 39713 5319 5 which which WDT 39713 5319 6 has have VBZ 39713 5319 7 hitherto hitherto VBN 39713 5319 8 determined determine VBN 39713 5319 9 the the DT 39713 5319 10 direction direction NN 39713 5319 11 of of IN 39713 5319 12 mathematical mathematical JJ 39713 5319 13 advance advance NN 39713 5319 14 , , , 39713 5319 15 and and CC 39713 5319 16 just just RB 39713 5319 17 as as IN 39713 5319 18 certainly certainly RB 39713 5319 19 will will MD 39713 5319 20 determine determine VB 39713 5319 21 it -PRON- PRP 39713 5319 22 in in IN 39713 5319 23 the the DT 39713 5319 24 future future NN 39713 5319 25 . . . 39713 5320 1 But but CC 39713 5320 2 to to IN 39713 5320 3 this this DT 39713 5320 4 end end NN 39713 5320 5 the the DT 39713 5320 6 nature nature NN 39713 5320 7 of of IN 39713 5320 8 the the DT 39713 5320 9 problems problem NNS 39713 5320 10 which which WDT 39713 5320 11 come come VBP 39713 5320 12 up up RP 39713 5320 13 contributes contribute NNS 39713 5320 14 equally equally RB 39713 5320 15 . . . 39713 5321 1 We -PRON- PRP 39713 5321 2 can can MD 39713 5321 3 not not RB 39713 5321 4 forget forget VB 39713 5321 5 what what WP 39713 5321 6 must must MD 39713 5321 7 be be VB 39713 5321 8 our -PRON- PRP$ 39713 5321 9 aim aim NN 39713 5321 10 . . . 39713 5322 1 In in IN 39713 5322 2 my -PRON- PRP$ 39713 5322 3 opinion opinion NN 39713 5322 4 this this DT 39713 5322 5 aim aim NN 39713 5322 6 is be VBZ 39713 5322 7 double double JJ 39713 5322 8 . . . 39713 5323 1 Our -PRON- PRP$ 39713 5323 2 science science NN 39713 5323 3 borders border NNS 39713 5323 4 upon upon IN 39713 5323 5 both both DT 39713 5323 6 philosophy philosophy NN 39713 5323 7 and and CC 39713 5323 8 physics physics NN 39713 5323 9 , , , 39713 5323 10 and and CC 39713 5323 11 we -PRON- PRP 39713 5323 12 work work VBP 39713 5323 13 for for IN 39713 5323 14 our -PRON- PRP$ 39713 5323 15 two two CD 39713 5323 16 neighbors neighbor NNS 39713 5323 17 ; ; : 39713 5323 18 so so CC 39713 5323 19 we -PRON- PRP 39713 5323 20 have have VBP 39713 5323 21 always always RB 39713 5323 22 seen see VBN 39713 5323 23 and and CC 39713 5323 24 shall shall MD 39713 5323 25 still still RB 39713 5323 26 see see VB 39713 5323 27 mathematicians mathematician NNS 39713 5323 28 advancing advance VBG 39713 5323 29 in in IN 39713 5323 30 two two CD 39713 5323 31 opposite opposite JJ 39713 5323 32 directions direction NNS 39713 5323 33 . . . 39713 5324 1 On on IN 39713 5324 2 the the DT 39713 5324 3 one one CD 39713 5324 4 hand hand NN 39713 5324 5 , , , 39713 5324 6 mathematical mathematical JJ 39713 5324 7 science science NN 39713 5324 8 must must MD 39713 5324 9 reflect reflect VB 39713 5324 10 upon upon IN 39713 5324 11 itself -PRON- PRP 39713 5324 12 , , , 39713 5324 13 and and CC 39713 5324 14 that that DT 39713 5324 15 is be VBZ 39713 5324 16 useful useful JJ 39713 5324 17 since since IN 39713 5324 18 reflecting reflect VBG 39713 5324 19 on on IN 39713 5324 20 itself -PRON- PRP 39713 5324 21 is be VBZ 39713 5324 22 reflecting reflect VBG 39713 5324 23 on on IN 39713 5324 24 the the DT 39713 5324 25 human human JJ 39713 5324 26 mind mind NN 39713 5324 27 which which WDT 39713 5324 28 has have VBZ 39713 5324 29 created create VBN 39713 5324 30 it -PRON- PRP 39713 5324 31 , , , 39713 5324 32 all all PDT 39713 5324 33 the the DT 39713 5324 34 more more JJR 39713 5324 35 because because IN 39713 5324 36 it -PRON- PRP 39713 5324 37 is be VBZ 39713 5324 38 the the DT 39713 5324 39 very very JJ 39713 5324 40 one one CD 39713 5324 41 of of IN 39713 5324 42 its -PRON- PRP$ 39713 5324 43 creations creation NNS 39713 5324 44 for for IN 39713 5324 45 which which WDT 39713 5324 46 it -PRON- PRP 39713 5324 47 has have VBZ 39713 5324 48 borrowed borrow VBN 39713 5324 49 least least JJS 39713 5324 50 from from IN 39713 5324 51 without without IN 39713 5324 52 . . . 39713 5325 1 This this DT 39713 5325 2 is be VBZ 39713 5325 3 why why WRB 39713 5325 4 certain certain JJ 39713 5325 5 mathematical mathematical JJ 39713 5325 6 speculations speculation NNS 39713 5325 7 are be VBP 39713 5325 8 useful useful JJ 39713 5325 9 , , , 39713 5325 10 such such JJ 39713 5325 11 as as IN 39713 5325 12 those those DT 39713 5325 13 devoted devoted JJ 39713 5325 14 to to IN 39713 5325 15 the the DT 39713 5325 16 study study NN 39713 5325 17 of of IN 39713 5325 18 the the DT 39713 5325 19 postulates postulate NNS 39713 5325 20 , , , 39713 5325 21 of of IN 39713 5325 22 unusual unusual JJ 39713 5325 23 geometries geometry NNS 39713 5325 24 , , , 39713 5325 25 of of IN 39713 5325 26 peculiar peculiar JJ 39713 5325 27 functions function NNS 39713 5325 28 . . . 39713 5326 1 The the DT 39713 5326 2 more more RBR 39713 5326 3 these these DT 39713 5326 4 speculations speculation NNS 39713 5326 5 diverge diverge VBP 39713 5326 6 from from IN 39713 5326 7 ordinary ordinary JJ 39713 5326 8 conceptions conception NNS 39713 5326 9 , , , 39713 5326 10 and and CC 39713 5326 11 consequently consequently RB 39713 5326 12 from from IN 39713 5326 13 nature nature NN 39713 5326 14 and and CC 39713 5326 15 applications application NNS 39713 5326 16 , , , 39713 5326 17 the the DT 39713 5326 18 better well RBR 39713 5326 19 they -PRON- PRP 39713 5326 20 show show VBP 39713 5326 21 us -PRON- PRP 39713 5326 22 what what WP 39713 5326 23 the the DT 39713 5326 24 human human JJ 39713 5326 25 mind mind NN 39713 5326 26 can can MD 39713 5326 27 create create VB 39713 5326 28 when when WRB 39713 5326 29 it -PRON- PRP 39713 5326 30 frees free VBZ 39713 5326 31 itself -PRON- PRP 39713 5326 32 more more RBR 39713 5326 33 and and CC 39713 5326 34 more more RBR 39713 5326 35 from from IN 39713 5326 36 the the DT 39713 5326 37 tyranny tyranny NN 39713 5326 38 of of IN 39713 5326 39 the the DT 39713 5326 40 external external JJ 39713 5326 41 world world NN 39713 5326 42 , , , 39713 5326 43 the the DT 39713 5326 44 better well RBR 39713 5326 45 therefore therefore RB 39713 5326 46 they -PRON- PRP 39713 5326 47 let let VBD 39713 5326 48 us -PRON- PRP 39713 5326 49 know know VB 39713 5326 50 it -PRON- PRP 39713 5326 51 in in IN 39713 5326 52 itself -PRON- PRP 39713 5326 53 . . . 39713 5327 1 But but CC 39713 5327 2 it -PRON- PRP 39713 5327 3 is be VBZ 39713 5327 4 toward toward IN 39713 5327 5 the the DT 39713 5327 6 other other JJ 39713 5327 7 side side NN 39713 5327 8 , , , 39713 5327 9 the the DT 39713 5327 10 side side NN 39713 5327 11 of of IN 39713 5327 12 nature nature NN 39713 5327 13 , , , 39713 5327 14 that that IN 39713 5327 15 we -PRON- PRP 39713 5327 16 must must MD 39713 5327 17 direct direct VB 39713 5327 18 the the DT 39713 5327 19 bulk bulk NN 39713 5327 20 of of IN 39713 5327 21 our -PRON- PRP$ 39713 5327 22 army army NN 39713 5327 23 . . . 39713 5328 1 There there RB 39713 5328 2 we -PRON- PRP 39713 5328 3 meet meet VBP 39713 5328 4 the the DT 39713 5328 5 physicist physicist NN 39713 5328 6 or or CC 39713 5328 7 the the DT 39713 5328 8 engineer engineer NN 39713 5328 9 , , , 39713 5328 10 who who WP 39713 5328 11 says say VBZ 39713 5328 12 to to IN 39713 5328 13 us -PRON- PRP 39713 5328 14 : : : 39713 5328 15 " " `` 39713 5328 16 Please please UH 39713 5328 17 integrate integrate VB 39713 5328 18 this this DT 39713 5328 19 differential differential NN 39713 5328 20 equation equation NN 39713 5328 21 for for IN 39713 5328 22 me -PRON- PRP 39713 5328 23 ; ; : 39713 5328 24 I -PRON- PRP 39713 5328 25 might may MD 39713 5328 26 need need VB 39713 5328 27 it -PRON- PRP 39713 5328 28 in in IN 39713 5328 29 a a DT 39713 5328 30 week week NN 39713 5328 31 in in IN 39713 5328 32 view view NN 39713 5328 33 of of IN 39713 5328 34 a a DT 39713 5328 35 construction construction NN 39713 5328 36 which which WDT 39713 5328 37 should should MD 39713 5328 38 be be VB 39713 5328 39 finished finish VBN 39713 5328 40 by by IN 39713 5328 41 that that DT 39713 5328 42 time time NN 39713 5328 43 . . . 39713 5328 44 " " '' 39713 5329 1 " " `` 39713 5329 2 This this DT 39713 5329 3 equation equation NN 39713 5329 4 , , , 39713 5329 5 " " '' 39713 5329 6 we -PRON- PRP 39713 5329 7 answer answer VBP 39713 5329 8 , , , 39713 5329 9 " " `` 39713 5329 10 does do VBZ 39713 5329 11 not not RB 39713 5329 12 come come VB 39713 5329 13 under under IN 39713 5329 14 one one CD 39713 5329 15 of of IN 39713 5329 16 the the DT 39713 5329 17 integrable integrable JJ 39713 5329 18 types type NNS 39713 5329 19 ; ; : 39713 5329 20 you -PRON- PRP 39713 5329 21 know know VBP 39713 5329 22 there there EX 39713 5329 23 are be VBP 39713 5329 24 not not RB 39713 5329 25 many many JJ 39713 5329 26 . . . 39713 5329 27 " " '' 39713 5330 1 " " `` 39713 5330 2 Yes yes UH 39713 5330 3 , , , 39713 5330 4 I -PRON- PRP 39713 5330 5 know know VBP 39713 5330 6 ; ; : 39713 5330 7 but but CC 39713 5330 8 then then RB 39713 5330 9 what what WP 39713 5330 10 good good NN 39713 5330 11 are be VBP 39713 5330 12 you -PRON- PRP 39713 5330 13 ? ? . 39713 5330 14 " " '' 39713 5331 1 Usually usually RB 39713 5331 2 to to TO 39713 5331 3 understand understand VB 39713 5331 4 each each DT 39713 5331 5 other other JJ 39713 5331 6 is be VBZ 39713 5331 7 enough enough JJ 39713 5331 8 ; ; : 39713 5331 9 the the DT 39713 5331 10 engineer engineer NN 39713 5331 11 in in IN 39713 5331 12 reality reality NN 39713 5331 13 does do VBZ 39713 5331 14 not not RB 39713 5331 15 need need VB 39713 5331 16 the the DT 39713 5331 17 integral integral NN 39713 5331 18 in in IN 39713 5331 19 finite finite JJ 39713 5331 20 terms term NNS 39713 5331 21 ; ; : 39713 5331 22 he -PRON- PRP 39713 5331 23 needs need VBZ 39713 5331 24 to to TO 39713 5331 25 know know VB 39713 5331 26 the the DT 39713 5331 27 general general JJ 39713 5331 28 look look NN 39713 5331 29 of of IN 39713 5331 30 the the DT 39713 5331 31 integral integral JJ 39713 5331 32 function function NN 39713 5331 33 , , , 39713 5331 34 or or CC 39713 5331 35 he -PRON- PRP 39713 5331 36 simply simply RB 39713 5331 37 wants want VBZ 39713 5331 38 a a DT 39713 5331 39 certain certain JJ 39713 5331 40 number number NN 39713 5331 41 which which WDT 39713 5331 42 could could MD 39713 5331 43 readily readily RB 39713 5331 44 be be VB 39713 5331 45 deduced deduce VBN 39713 5331 46 from from IN 39713 5331 47 this this DT 39713 5331 48 integral integral NN 39713 5331 49 if if IN 39713 5331 50 it -PRON- PRP 39713 5331 51 were be VBD 39713 5331 52 known know VBN 39713 5331 53 . . . 39713 5332 1 Usually usually RB 39713 5332 2 it -PRON- PRP 39713 5332 3 is be VBZ 39713 5332 4 not not RB 39713 5332 5 known know VBN 39713 5332 6 , , , 39713 5332 7 but but CC 39713 5332 8 the the DT 39713 5332 9 number number NN 39713 5332 10 can can MD 39713 5332 11 be be VB 39713 5332 12 calculated calculate VBN 39713 5332 13 without without IN 39713 5332 14 it -PRON- PRP 39713 5332 15 if if IN 39713 5332 16 we -PRON- PRP 39713 5332 17 know know VBP 39713 5332 18 exactly exactly RB 39713 5332 19 what what WDT 39713 5332 20 number number NN 39713 5332 21 the the DT 39713 5332 22 engineer engineer NN 39713 5332 23 needs need NNS 39713 5332 24 and and CC 39713 5332 25 with with IN 39713 5332 26 what what WDT 39713 5332 27 approximation approximation NN 39713 5332 28 . . . 39713 5333 1 Formerly formerly RB 39713 5333 2 an an DT 39713 5333 3 equation equation NN 39713 5333 4 was be VBD 39713 5333 5 considered consider VBN 39713 5333 6 solved solve VBN 39713 5333 7 only only RB 39713 5333 8 when when WRB 39713 5333 9 its -PRON- PRP$ 39713 5333 10 solution solution NN 39713 5333 11 had have VBD 39713 5333 12 been be VBN 39713 5333 13 expressed express VBN 39713 5333 14 by by IN 39713 5333 15 aid aid NN 39713 5333 16 of of IN 39713 5333 17 a a DT 39713 5333 18 finite finite JJ 39713 5333 19 number number NN 39713 5333 20 of of IN 39713 5333 21 known know VBN 39713 5333 22 functions function NNS 39713 5333 23 ; ; : 39713 5333 24 but but CC 39713 5333 25 that that DT 39713 5333 26 is be VBZ 39713 5333 27 possible possible JJ 39713 5333 28 scarcely scarcely RB 39713 5333 29 once once RB 39713 5333 30 in in IN 39713 5333 31 a a DT 39713 5333 32 hundred hundred CD 39713 5333 33 times time NNS 39713 5333 34 . . . 39713 5334 1 What what WP 39713 5334 2 we -PRON- PRP 39713 5334 3 always always RB 39713 5334 4 can can MD 39713 5334 5 do do VB 39713 5334 6 , , , 39713 5334 7 or or CC 39713 5334 8 rather rather RB 39713 5334 9 what what WP 39713 5334 10 we -PRON- PRP 39713 5334 11 should should MD 39713 5334 12 always always RB 39713 5334 13 seek seek VB 39713 5334 14 to to TO 39713 5334 15 do do VB 39713 5334 16 , , , 39713 5334 17 is be VBZ 39713 5334 18 to to TO 39713 5334 19 solve solve VB 39713 5334 20 the the DT 39713 5334 21 problem problem NN 39713 5334 22 _ _ NNP 39713 5334 23 qualitatively qualitatively RB 39713 5334 24 _ _ NNP 39713 5334 25 so so RB 39713 5334 26 to to TO 39713 5334 27 speak speak VB 39713 5334 28 ; ; : 39713 5334 29 that that DT 39713 5334 30 is be VBZ 39713 5334 31 to to TO 39713 5334 32 say say VB 39713 5334 33 , , , 39713 5334 34 seek seek VBP 39713 5334 35 to to TO 39713 5334 36 know know VB 39713 5334 37 the the DT 39713 5334 38 general general JJ 39713 5334 39 form form NN 39713 5334 40 of of IN 39713 5334 41 the the DT 39713 5334 42 curve curve NN 39713 5334 43 which which WDT 39713 5334 44 represents represent VBZ 39713 5334 45 the the DT 39713 5334 46 unknown unknown JJ 39713 5334 47 function function NN 39713 5334 48 . . . 39713 5335 1 It -PRON- PRP 39713 5335 2 remains remain VBZ 39713 5335 3 to to TO 39713 5335 4 find find VB 39713 5335 5 the the DT 39713 5335 6 _ _ NNP 39713 5335 7 quantitative quantitative JJ 39713 5335 8 _ _ NNP 39713 5335 9 solution solution NN 39713 5335 10 of of IN 39713 5335 11 the the DT 39713 5335 12 problem problem NN 39713 5335 13 ; ; : 39713 5335 14 but but CC 39713 5335 15 if if IN 39713 5335 16 the the DT 39713 5335 17 unknown unknown NN 39713 5335 18 can can MD 39713 5335 19 not not RB 39713 5335 20 be be VB 39713 5335 21 determined determine VBN 39713 5335 22 by by IN 39713 5335 23 a a DT 39713 5335 24 finite finite JJ 39713 5335 25 calculation calculation NN 39713 5335 26 , , , 39713 5335 27 it -PRON- PRP 39713 5335 28 may may MD 39713 5335 29 always always RB 39713 5335 30 be be VB 39713 5335 31 represented represent VBN 39713 5335 32 by by IN 39713 5335 33 a a DT 39713 5335 34 convergent convergent NN 39713 5335 35 infinite infinite JJ 39713 5335 36 series series NN 39713 5335 37 which which WDT 39713 5335 38 enables enable VBZ 39713 5335 39 us -PRON- PRP 39713 5335 40 to to TO 39713 5335 41 calculate calculate VB 39713 5335 42 it -PRON- PRP 39713 5335 43 . . . 39713 5336 1 Can Can MD 39713 5336 2 that that WDT 39713 5336 3 be be VB 39713 5336 4 regarded regard VBN 39713 5336 5 as as IN 39713 5336 6 a a DT 39713 5336 7 true true JJ 39713 5336 8 solution solution NN 39713 5336 9 ? ? . 39713 5337 1 We -PRON- PRP 39713 5337 2 are be VBP 39713 5337 3 told tell VBN 39713 5337 4 that that IN 39713 5337 5 Newton Newton NNP 39713 5337 6 sent send VBD 39713 5337 7 Leibnitz Leibnitz NNP 39713 5337 8 an an DT 39713 5337 9 anagram anagram NN 39713 5337 10 almost almost RB 39713 5337 11 like like IN 39713 5337 12 this this DT 39713 5337 13 : : : 39713 5337 14 aaaaabbbeeeeij aaaaabbbeeeeij NNP 39713 5337 15 , , , 39713 5337 16 etc etc FW 39713 5337 17 . . . 39713 5338 1 Leibnitz Leibnitz NNP 39713 5338 2 naturally naturally RB 39713 5338 3 understood understand VBD 39713 5338 4 nothing nothing NN 39713 5338 5 at at RB 39713 5338 6 all all DT 39713 5338 7 of of IN 39713 5338 8 it -PRON- PRP 39713 5338 9 ; ; : 39713 5338 10 but but CC 39713 5338 11 we -PRON- PRP 39713 5338 12 , , , 39713 5338 13 who who WP 39713 5338 14 have have VBP 39713 5338 15 the the DT 39713 5338 16 key key NN 39713 5338 17 , , , 39713 5338 18 know know VBP 39713 5338 19 that that IN 39713 5338 20 this this DT 39713 5338 21 anagram anagram NN 39713 5338 22 meant mean VBD 39713 5338 23 , , , 39713 5338 24 translated translate VBN 39713 5338 25 into into IN 39713 5338 26 modern modern JJ 39713 5338 27 terms term NNS 39713 5338 28 : : : 39713 5338 29 " " `` 39713 5338 30 I -PRON- PRP 39713 5338 31 can can MD 39713 5338 32 integrate integrate VB 39713 5338 33 all all DT 39713 5338 34 differential differential JJ 39713 5338 35 equations equation NNS 39713 5338 36 " " '' 39713 5338 37 ; ; : 39713 5338 38 and and CC 39713 5338 39 we -PRON- PRP 39713 5338 40 are be VBP 39713 5338 41 tempted tempt VBN 39713 5338 42 to to TO 39713 5338 43 say say VB 39713 5338 44 that that IN 39713 5338 45 Newton Newton NNP 39713 5338 46 had have VBD 39713 5338 47 either either CC 39713 5338 48 great great JJ 39713 5338 49 luck luck NN 39713 5338 50 or or CC 39713 5338 51 strange strange JJ 39713 5338 52 delusions delusion NNS 39713 5338 53 . . . 39713 5339 1 He -PRON- PRP 39713 5339 2 merely merely RB 39713 5339 3 wished wish VBD 39713 5339 4 to to TO 39713 5339 5 say say VB 39713 5339 6 he -PRON- PRP 39713 5339 7 could could MD 39713 5339 8 form form VB 39713 5339 9 ( ( -LRB- 39713 5339 10 by by IN 39713 5339 11 the the DT 39713 5339 12 method method NN 39713 5339 13 of of IN 39713 5339 14 indeterminate indeterminate JJ 39713 5339 15 coefficients coefficient NNS 39713 5339 16 ) ) -RRB- 39713 5339 17 a a DT 39713 5339 18 series series NN 39713 5339 19 of of IN 39713 5339 20 powers power NNS 39713 5339 21 formally formally RB 39713 5339 22 satisfying satisfy VBG 39713 5339 23 the the DT 39713 5339 24 proposed propose VBN 39713 5339 25 equation equation NN 39713 5339 26 . . . 39713 5340 1 Such such PDT 39713 5340 2 a a DT 39713 5340 3 solution solution NN 39713 5340 4 would would MD 39713 5340 5 not not RB 39713 5340 6 satisfy satisfy VB 39713 5340 7 us -PRON- PRP 39713 5340 8 to to IN 39713 5340 9 - - HYPH 39713 5340 10 day day NN 39713 5340 11 , , , 39713 5340 12 and and CC 39713 5340 13 for for IN 39713 5340 14 two two CD 39713 5340 15 reasons reason NNS 39713 5340 16 : : : 39713 5340 17 because because IN 39713 5340 18 the the DT 39713 5340 19 convergence convergence NN 39713 5340 20 is be VBZ 39713 5340 21 too too RB 39713 5340 22 slow slow JJ 39713 5340 23 and and CC 39713 5340 24 because because IN 39713 5340 25 the the DT 39713 5340 26 terms term NNS 39713 5340 27 follow follow VBP 39713 5340 28 each each DT 39713 5340 29 other other JJ 39713 5340 30 without without IN 39713 5340 31 obeying obey VBG 39713 5340 32 any any DT 39713 5340 33 law law NN 39713 5340 34 . . . 39713 5341 1 On on IN 39713 5341 2 the the DT 39713 5341 3 contrary contrary NN 39713 5341 4 , , , 39713 5341 5 the the DT 39713 5341 6 series series NN 39713 5341 7 [ [ -LRB- 39713 5341 8 Theta theta NN 39713 5341 9 ] ] -RRB- 39713 5341 10 seems seem VBZ 39713 5341 11 to to IN 39713 5341 12 us -PRON- PRP 39713 5341 13 to to TO 39713 5341 14 leave leave VB 39713 5341 15 nothing nothing NN 39713 5341 16 to to TO 39713 5341 17 be be VB 39713 5341 18 desired desire VBN 39713 5341 19 , , , 39713 5341 20 first first RB 39713 5341 21 because because IN 39713 5341 22 it -PRON- PRP 39713 5341 23 converges converge VBZ 39713 5341 24 very very RB 39713 5341 25 quickly quickly RB 39713 5341 26 ( ( -LRB- 39713 5341 27 this this DT 39713 5341 28 is be VBZ 39713 5341 29 for for IN 39713 5341 30 the the DT 39713 5341 31 practical practical JJ 39713 5341 32 man man NN 39713 5341 33 who who WP 39713 5341 34 wishes wish VBZ 39713 5341 35 to to TO 39713 5341 36 get get VB 39713 5341 37 at at IN 39713 5341 38 a a DT 39713 5341 39 number number NN 39713 5341 40 as as RB 39713 5341 41 quickly quickly RB 39713 5341 42 as as IN 39713 5341 43 possible possible JJ 39713 5341 44 ) ) -RRB- 39713 5341 45 and and CC 39713 5341 46 next next JJ 39713 5341 47 because because IN 39713 5341 48 we -PRON- PRP 39713 5341 49 see see VBP 39713 5341 50 at at IN 39713 5341 51 a a DT 39713 5341 52 glance glance NN 39713 5341 53 the the DT 39713 5341 54 law law NN 39713 5341 55 of of IN 39713 5341 56 the the DT 39713 5341 57 terms term NNS 39713 5341 58 ( ( -LRB- 39713 5341 59 this this DT 39713 5341 60 is be VBZ 39713 5341 61 to to TO 39713 5341 62 satisfy satisfy VB 39713 5341 63 the the DT 39713 5341 64 esthetic esthetic JJ 39713 5341 65 need need NN 39713 5341 66 of of IN 39713 5341 67 the the DT 39713 5341 68 theorist theorist NN 39713 5341 69 ) ) -RRB- 39713 5341 70 . . . 39713 5342 1 But but CC 39713 5342 2 then then RB 39713 5342 3 there there EX 39713 5342 4 are be VBP 39713 5342 5 no no RB 39713 5342 6 longer long RBR 39713 5342 7 solved solve VBD 39713 5342 8 problems problem NNS 39713 5342 9 and and CC 39713 5342 10 others other NNS 39713 5342 11 which which WDT 39713 5342 12 are be VBP 39713 5342 13 not not RB 39713 5342 14 ; ; : 39713 5342 15 there there EX 39713 5342 16 are be VBP 39713 5342 17 only only RB 39713 5342 18 problems problem NNS 39713 5342 19 _ _ IN 39713 5342 20 more more RBR 39713 5342 21 or or CC 39713 5342 22 less less RBR 39713 5342 23 _ _ NNP 39713 5342 24 solved solve VBD 39713 5342 25 , , , 39713 5342 26 according accord VBG 39713 5342 27 as as IN 39713 5342 28 they -PRON- PRP 39713 5342 29 are be VBP 39713 5342 30 solved solve VBN 39713 5342 31 by by IN 39713 5342 32 a a DT 39713 5342 33 series series NN 39713 5342 34 converging converge VBG 39713 5342 35 more more RBR 39713 5342 36 or or CC 39713 5342 37 less less RBR 39713 5342 38 rapidly rapidly RB 39713 5342 39 , , , 39713 5342 40 or or CC 39713 5342 41 ruled rule VBN 39713 5342 42 by by IN 39713 5342 43 a a DT 39713 5342 44 law law NN 39713 5342 45 more more RBR 39713 5342 46 or or CC 39713 5342 47 less less RBR 39713 5342 48 harmonious harmonious JJ 39713 5342 49 . . . 39713 5343 1 It -PRON- PRP 39713 5343 2 often often RB 39713 5343 3 happens happen VBZ 39713 5343 4 however however RB 39713 5343 5 that that IN 39713 5343 6 an an DT 39713 5343 7 imperfect imperfect JJ 39713 5343 8 solution solution NN 39713 5343 9 guides guide VBZ 39713 5343 10 us -PRON- PRP 39713 5343 11 toward toward IN 39713 5343 12 a a DT 39713 5343 13 better well JJR 39713 5343 14 one one NN 39713 5343 15 . . . 39713 5344 1 Sometimes sometimes RB 39713 5344 2 the the DT 39713 5344 3 series series NN 39713 5344 4 converges converge VBZ 39713 5344 5 so so RB 39713 5344 6 slowly slowly RB 39713 5344 7 that that IN 39713 5344 8 the the DT 39713 5344 9 computation computation NN 39713 5344 10 is be VBZ 39713 5344 11 impracticable impracticable JJ 39713 5344 12 and and CC 39713 5344 13 we -PRON- PRP 39713 5344 14 have have VBP 39713 5344 15 only only RB 39713 5344 16 succeeded succeed VBN 39713 5344 17 in in IN 39713 5344 18 proving prove VBG 39713 5344 19 the the DT 39713 5344 20 possibility possibility NN 39713 5344 21 of of IN 39713 5344 22 the the DT 39713 5344 23 problem problem NN 39713 5344 24 . . . 39713 5345 1 And and CC 39713 5345 2 then then RB 39713 5345 3 the the DT 39713 5345 4 engineer engineer NN 39713 5345 5 finds find VBZ 39713 5345 6 this this DT 39713 5345 7 a a DT 39713 5345 8 mockery mockery NN 39713 5345 9 , , , 39713 5345 10 and and CC 39713 5345 11 justly justly RB 39713 5345 12 , , , 39713 5345 13 since since IN 39713 5345 14 it -PRON- PRP 39713 5345 15 will will MD 39713 5345 16 not not RB 39713 5345 17 aid aid VB 39713 5345 18 him -PRON- PRP 39713 5345 19 to to TO 39713 5345 20 complete complete VB 39713 5345 21 his -PRON- PRP$ 39713 5345 22 construction construction NN 39713 5345 23 by by IN 39713 5345 24 the the DT 39713 5345 25 date date NN 39713 5345 26 fixed fix VBN 39713 5345 27 . . . 39713 5346 1 He -PRON- PRP 39713 5346 2 little little JJ 39713 5346 3 cares care VBZ 39713 5346 4 to to TO 39713 5346 5 know know VB 39713 5346 6 if if IN 39713 5346 7 it -PRON- PRP 39713 5346 8 will will MD 39713 5346 9 benefit benefit VB 39713 5346 10 engineers engineer NNS 39713 5346 11 of of IN 39713 5346 12 the the DT 39713 5346 13 twenty twenty CD 39713 5346 14 - - HYPH 39713 5346 15 second second JJ 39713 5346 16 century century NN 39713 5346 17 . . . 39713 5347 1 But but CC 39713 5347 2 as as IN 39713 5347 3 for for IN 39713 5347 4 us -PRON- PRP 39713 5347 5 , , , 39713 5347 6 we -PRON- PRP 39713 5347 7 think think VBP 39713 5347 8 differently differently RB 39713 5347 9 and and CC 39713 5347 10 we -PRON- PRP 39713 5347 11 are be VBP 39713 5347 12 sometimes sometimes RB 39713 5347 13 happier happy JJR 39713 5347 14 to to TO 39713 5347 15 have have VB 39713 5347 16 spared spare VBN 39713 5347 17 our -PRON- PRP$ 39713 5347 18 grandchildren grandchild NNS 39713 5347 19 a a DT 39713 5347 20 day day NN 39713 5347 21 's 's POS 39713 5347 22 work work NN 39713 5347 23 than than IN 39713 5347 24 to to TO 39713 5347 25 have have VB 39713 5347 26 saved save VBN 39713 5347 27 our -PRON- PRP$ 39713 5347 28 contemporaries contemporary NNS 39713 5347 29 an an DT 39713 5347 30 hour hour NN 39713 5347 31 . . . 39713 5348 1 Sometimes sometimes RB 39713 5348 2 by by IN 39713 5348 3 groping grope VBG 39713 5348 4 , , , 39713 5348 5 empirically empirically RB 39713 5348 6 , , , 39713 5348 7 so so RB 39713 5348 8 to to TO 39713 5348 9 speak speak VB 39713 5348 10 , , , 39713 5348 11 we -PRON- PRP 39713 5348 12 reach reach VBP 39713 5348 13 a a DT 39713 5348 14 formula formula NN 39713 5348 15 sufficiently sufficiently RB 39713 5348 16 convergent convergent NN 39713 5348 17 . . . 39713 5349 1 " " `` 39713 5349 2 What what WP 39713 5349 3 more more JJR 39713 5349 4 do do VBP 39713 5349 5 you -PRON- PRP 39713 5349 6 want want VB 39713 5349 7 ? ? . 39713 5349 8 " " '' 39713 5350 1 says say VBZ 39713 5350 2 the the DT 39713 5350 3 engineer engineer NN 39713 5350 4 . . . 39713 5351 1 And and CC 39713 5351 2 yet yet RB 39713 5351 3 , , , 39713 5351 4 in in IN 39713 5351 5 spite spite NN 39713 5351 6 of of IN 39713 5351 7 all all DT 39713 5351 8 , , , 39713 5351 9 we -PRON- PRP 39713 5351 10 are be VBP 39713 5351 11 not not RB 39713 5351 12 satisfied satisfied JJ 39713 5351 13 ; ; : 39713 5351 14 we -PRON- PRP 39713 5351 15 should should MD 39713 5351 16 have have VB 39713 5351 17 liked like VBN 39713 5351 18 _ _ NNP 39713 5351 19 to to TO 39713 5351 20 foresee foresee VB 39713 5351 21 _ _ NNP 39713 5351 22 that that DT 39713 5351 23 convergence convergence NN 39713 5351 24 . . . 39713 5352 1 Why why WRB 39713 5352 2 ? ? . 39713 5353 1 Because because IN 39713 5353 2 if if IN 39713 5353 3 we -PRON- PRP 39713 5353 4 had have VBD 39713 5353 5 known know VBN 39713 5353 6 how how WRB 39713 5353 7 to to TO 39713 5353 8 foresee foresee VB 39713 5353 9 it -PRON- PRP 39713 5353 10 once once RB 39713 5353 11 , , , 39713 5353 12 we -PRON- PRP 39713 5353 13 would would MD 39713 5353 14 know know VB 39713 5353 15 how how WRB 39713 5353 16 to to TO 39713 5353 17 foresee foresee VB 39713 5353 18 it -PRON- PRP 39713 5353 19 another another DT 39713 5353 20 time time NN 39713 5353 21 . . . 39713 5354 1 We -PRON- PRP 39713 5354 2 have have VBP 39713 5354 3 succeeded succeed VBN 39713 5354 4 ; ; : 39713 5354 5 that that DT 39713 5354 6 is be VBZ 39713 5354 7 a a DT 39713 5354 8 small small JJ 39713 5354 9 matter matter NN 39713 5354 10 in in IN 39713 5354 11 our -PRON- PRP$ 39713 5354 12 eyes eye NNS 39713 5354 13 if if IN 39713 5354 14 we -PRON- PRP 39713 5354 15 can can MD 39713 5354 16 not not RB 39713 5354 17 validly validly RB 39713 5354 18 expect expect VB 39713 5354 19 to to TO 39713 5354 20 do do VB 39713 5354 21 so so RB 39713 5354 22 again again RB 39713 5354 23 . . . 39713 5355 1 In in IN 39713 5355 2 proportion proportion NN 39713 5355 3 as as IN 39713 5355 4 science science NN 39713 5355 5 develops develop VBZ 39713 5355 6 , , , 39713 5355 7 its -PRON- PRP$ 39713 5355 8 total total JJ 39713 5355 9 comprehension comprehension NN 39713 5355 10 becomes become VBZ 39713 5355 11 more more RBR 39713 5355 12 difficult difficult JJ 39713 5355 13 ; ; : 39713 5355 14 then then RB 39713 5355 15 we -PRON- PRP 39713 5355 16 seek seek VBP 39713 5355 17 to to TO 39713 5355 18 cut cut VB 39713 5355 19 it -PRON- PRP 39713 5355 20 in in IN 39713 5355 21 pieces piece NNS 39713 5355 22 and and CC 39713 5355 23 to to TO 39713 5355 24 be be VB 39713 5355 25 satisfied satisfied JJ 39713 5355 26 with with IN 39713 5355 27 one one CD 39713 5355 28 of of IN 39713 5355 29 these these DT 39713 5355 30 pieces piece NNS 39713 5355 31 : : : 39713 5355 32 in in IN 39713 5355 33 a a DT 39713 5355 34 word word NN 39713 5355 35 , , , 39713 5355 36 to to TO 39713 5355 37 specialize specialize VB 39713 5355 38 . . . 39713 5356 1 If if IN 39713 5356 2 we -PRON- PRP 39713 5356 3 went go VBD 39713 5356 4 on on RP 39713 5356 5 in in IN 39713 5356 6 this this DT 39713 5356 7 way way NN 39713 5356 8 , , , 39713 5356 9 it -PRON- PRP 39713 5356 10 would would MD 39713 5356 11 be be VB 39713 5356 12 a a DT 39713 5356 13 grievous grievous JJ 39713 5356 14 obstacle obstacle NN 39713 5356 15 to to IN 39713 5356 16 the the DT 39713 5356 17 progress progress NN 39713 5356 18 of of IN 39713 5356 19 science science NN 39713 5356 20 . . . 39713 5357 1 As as IN 39713 5357 2 we -PRON- PRP 39713 5357 3 have have VBP 39713 5357 4 said say VBD 39713 5357 5 , , , 39713 5357 6 it -PRON- PRP 39713 5357 7 is be VBZ 39713 5357 8 by by IN 39713 5357 9 unexpected unexpected JJ 39713 5357 10 union union NN 39713 5357 11 between between IN 39713 5357 12 its -PRON- PRP$ 39713 5357 13 diverse diverse JJ 39713 5357 14 parts part NNS 39713 5357 15 that that WDT 39713 5357 16 it -PRON- PRP 39713 5357 17 progresses progress VBZ 39713 5357 18 . . . 39713 5358 1 To to TO 39713 5358 2 specialize specialize VB 39713 5358 3 too too RB 39713 5358 4 much much JJ 39713 5358 5 would would MD 39713 5358 6 be be VB 39713 5358 7 to to TO 39713 5358 8 forbid forbid VB 39713 5358 9 these these DT 39713 5358 10 drawings drawing NNS 39713 5358 11 together together RB 39713 5358 12 . . . 39713 5359 1 It -PRON- PRP 39713 5359 2 is be VBZ 39713 5359 3 to to TO 39713 5359 4 be be VB 39713 5359 5 hoped hope VBN 39713 5359 6 that that IN 39713 5359 7 congresses congress NNS 39713 5359 8 like like IN 39713 5359 9 those those DT 39713 5359 10 of of IN 39713 5359 11 Heidelberg Heidelberg NNP 39713 5359 12 and and CC 39713 5359 13 Rome Rome NNP 39713 5359 14 , , , 39713 5359 15 by by IN 39713 5359 16 putting put VBG 39713 5359 17 us -PRON- PRP 39713 5359 18 in in IN 39713 5359 19 touch touch NN 39713 5359 20 with with IN 39713 5359 21 one one CD 39713 5359 22 another another DT 39713 5359 23 , , , 39713 5359 24 will will MD 39713 5359 25 open open VB 39713 5359 26 for for IN 39713 5359 27 us us NNP 39713 5359 28 vistas vista NNS 39713 5359 29 over over IN 39713 5359 30 neighboring neighbor VBG 39713 5359 31 domains domain NNS 39713 5359 32 and and CC 39713 5359 33 oblige oblige VB 39713 5359 34 us -PRON- PRP 39713 5359 35 to to TO 39713 5359 36 compare compare VB 39713 5359 37 them -PRON- PRP 39713 5359 38 with with IN 39713 5359 39 our -PRON- PRP$ 39713 5359 40 own own JJ 39713 5359 41 , , , 39713 5359 42 to to TO 39713 5359 43 range range VB 39713 5359 44 somewhat somewhat RB 39713 5359 45 abroad abroad RB 39713 5359 46 from from IN 39713 5359 47 our -PRON- PRP$ 39713 5359 48 own own JJ 39713 5359 49 little little JJ 39713 5359 50 village village NN 39713 5359 51 ; ; : 39713 5359 52 thus thus RB 39713 5359 53 they -PRON- PRP 39713 5359 54 will will MD 39713 5359 55 be be VB 39713 5359 56 the the DT 39713 5359 57 best good JJS 39713 5359 58 remedy remedy NN 39713 5359 59 for for IN 39713 5359 60 the the DT 39713 5359 61 danger danger NN 39713 5359 62 just just RB 39713 5359 63 mentioned mention VBN 39713 5359 64 . . . 39713 5360 1 But but CC 39713 5360 2 I -PRON- PRP 39713 5360 3 have have VBP 39713 5360 4 lingered linger VBN 39713 5360 5 too too RB 39713 5360 6 long long RB 39713 5360 7 over over IN 39713 5360 8 generalities generality NNS 39713 5360 9 ; ; : 39713 5360 10 it -PRON- PRP 39713 5360 11 is be VBZ 39713 5360 12 time time NN 39713 5360 13 to to TO 39713 5360 14 enter enter VB 39713 5360 15 into into IN 39713 5360 16 detail detail NN 39713 5360 17 . . . 39713 5361 1 Let let VB 39713 5361 2 us -PRON- PRP 39713 5361 3 pass pass VB 39713 5361 4 in in IN 39713 5361 5 review review NN 39713 5361 6 the the DT 39713 5361 7 various various JJ 39713 5361 8 special special JJ 39713 5361 9 sciences science NNS 39713 5361 10 which which WDT 39713 5361 11 combined combine VBD 39713 5361 12 make make VBP 39713 5361 13 mathematics mathematic NNS 39713 5361 14 ; ; : 39713 5361 15 let let VB 39713 5361 16 us -PRON- PRP 39713 5361 17 see see VB 39713 5361 18 what what WP 39713 5361 19 each each DT 39713 5361 20 has have VBZ 39713 5361 21 accomplished accomplish VBN 39713 5361 22 , , , 39713 5361 23 whither whither IN 39713 5361 24 it -PRON- PRP 39713 5361 25 tends tend VBZ 39713 5361 26 and and CC 39713 5361 27 what what WP 39713 5361 28 we -PRON- PRP 39713 5361 29 may may MD 39713 5361 30 hope hope VB 39713 5361 31 from from IN 39713 5361 32 it -PRON- PRP 39713 5361 33 . . . 39713 5362 1 If if IN 39713 5362 2 the the DT 39713 5362 3 preceding precede VBG 39713 5362 4 views view NNS 39713 5362 5 are be VBP 39713 5362 6 correct correct JJ 39713 5362 7 , , , 39713 5362 8 we -PRON- PRP 39713 5362 9 should should MD 39713 5362 10 see see VB 39713 5362 11 that that IN 39713 5362 12 the the DT 39713 5362 13 greatest great JJS 39713 5362 14 advances advance NNS 39713 5362 15 in in IN 39713 5362 16 the the DT 39713 5362 17 past past NN 39713 5362 18 have have VBP 39713 5362 19 happened happen VBN 39713 5362 20 when when WRB 39713 5362 21 two two CD 39713 5362 22 of of IN 39713 5362 23 these these DT 39713 5362 24 sciences science NNS 39713 5362 25 have have VBP 39713 5362 26 united unite VBN 39713 5362 27 , , , 39713 5362 28 when when WRB 39713 5362 29 we -PRON- PRP 39713 5362 30 have have VBP 39713 5362 31 become become VBN 39713 5362 32 conscious conscious JJ 39713 5362 33 of of IN 39713 5362 34 the the DT 39713 5362 35 similarity similarity NN 39713 5362 36 of of IN 39713 5362 37 their -PRON- PRP$ 39713 5362 38 form form NN 39713 5362 39 , , , 39713 5362 40 despite despite IN 39713 5362 41 the the DT 39713 5362 42 difference difference NN 39713 5362 43 of of IN 39713 5362 44 their -PRON- PRP$ 39713 5362 45 matter matter NN 39713 5362 46 , , , 39713 5362 47 when when WRB 39713 5362 48 they -PRON- PRP 39713 5362 49 have have VBP 39713 5362 50 so so RB 39713 5362 51 modeled model VBN 39713 5362 52 themselves -PRON- PRP 39713 5362 53 upon upon IN 39713 5362 54 each each DT 39713 5362 55 other other JJ 39713 5362 56 that that IN 39713 5362 57 each each DT 39713 5362 58 could could MD 39713 5362 59 profit profit VB 39713 5362 60 by by IN 39713 5362 61 the the DT 39713 5362 62 other other JJ 39713 5362 63 's 's POS 39713 5362 64 conquests conquest NNS 39713 5362 65 . . . 39713 5363 1 We -PRON- PRP 39713 5363 2 should should MD 39713 5363 3 at at IN 39713 5363 4 the the DT 39713 5363 5 same same JJ 39713 5363 6 time time NN 39713 5363 7 foresee foresee NN 39713 5363 8 in in IN 39713 5363 9 combinations combination NNS 39713 5363 10 of of IN 39713 5363 11 the the DT 39713 5363 12 same same JJ 39713 5363 13 sort sort NN 39713 5363 14 the the DT 39713 5363 15 progress progress NN 39713 5363 16 of of IN 39713 5363 17 the the DT 39713 5363 18 future future NN 39713 5363 19 . . . 39713 5364 1 ARITHMETIC ARITHMETIC NNP 39713 5364 2 Progress Progress NNP 39713 5364 3 in in IN 39713 5364 4 arithmetic arithmetic JJ 39713 5364 5 has have VBZ 39713 5364 6 been be VBN 39713 5364 7 much much RB 39713 5364 8 slower slow JJR 39713 5364 9 than than IN 39713 5364 10 in in IN 39713 5364 11 algebra algebra NN 39713 5364 12 and and CC 39713 5364 13 analysis analysis NN 39713 5364 14 , , , 39713 5364 15 and and CC 39713 5364 16 it -PRON- PRP 39713 5364 17 is be VBZ 39713 5364 18 easy easy JJ 39713 5364 19 to to TO 39713 5364 20 see see VB 39713 5364 21 why why WRB 39713 5364 22 . . . 39713 5365 1 The the DT 39713 5365 2 feeling feeling NN 39713 5365 3 of of IN 39713 5365 4 continuity continuity NN 39713 5365 5 is be VBZ 39713 5365 6 a a DT 39713 5365 7 precious precious JJ 39713 5365 8 guide guide NN 39713 5365 9 which which WDT 39713 5365 10 the the DT 39713 5365 11 arithmetician arithmetician NN 39713 5365 12 lacks lack VBZ 39713 5365 13 ; ; : 39713 5365 14 each each DT 39713 5365 15 whole whole JJ 39713 5365 16 number number NN 39713 5365 17 is be VBZ 39713 5365 18 separated separate VBN 39713 5365 19 from from IN 39713 5365 20 the the DT 39713 5365 21 others other NNS 39713 5365 22 -- -- : 39713 5365 23 it -PRON- PRP 39713 5365 24 has have VBZ 39713 5365 25 , , , 39713 5365 26 so so RB 39713 5365 27 to to TO 39713 5365 28 speak speak VB 39713 5365 29 , , , 39713 5365 30 its -PRON- PRP$ 39713 5365 31 own own JJ 39713 5365 32 individuality individuality NN 39713 5365 33 . . . 39713 5366 1 Each each DT 39713 5366 2 of of IN 39713 5366 3 them -PRON- PRP 39713 5366 4 is be VBZ 39713 5366 5 a a DT 39713 5366 6 sort sort NN 39713 5366 7 of of IN 39713 5366 8 exception exception NN 39713 5366 9 and and CC 39713 5366 10 this this DT 39713 5366 11 is be VBZ 39713 5366 12 why why WRB 39713 5366 13 general general JJ 39713 5366 14 theorems theorem NNS 39713 5366 15 are be VBP 39713 5366 16 rarer rare JJR 39713 5366 17 in in IN 39713 5366 18 the the DT 39713 5366 19 theory theory NN 39713 5366 20 of of IN 39713 5366 21 numbers number NNS 39713 5366 22 ; ; : 39713 5366 23 this this DT 39713 5366 24 is be VBZ 39713 5366 25 also also RB 39713 5366 26 why why WRB 39713 5366 27 those those DT 39713 5366 28 which which WDT 39713 5366 29 exist exist VBP 39713 5366 30 are be VBP 39713 5366 31 more more RBR 39713 5366 32 hidden hidden JJ 39713 5366 33 and and CC 39713 5366 34 longer long RBR 39713 5366 35 elude elude VB 39713 5366 36 the the DT 39713 5366 37 searchers searcher NNS 39713 5366 38 . . . 39713 5367 1 If if IN 39713 5367 2 arithmetic arithmetic JJ 39713 5367 3 is be VBZ 39713 5367 4 behind behind IN 39713 5367 5 algebra algebra NN 39713 5367 6 and and CC 39713 5367 7 analysis analysis NN 39713 5367 8 , , , 39713 5367 9 the the DT 39713 5367 10 best good JJS 39713 5367 11 thing thing NN 39713 5367 12 for for IN 39713 5367 13 it -PRON- PRP 39713 5367 14 to to TO 39713 5367 15 do do VB 39713 5367 16 is be VBZ 39713 5367 17 to to TO 39713 5367 18 seek seek VB 39713 5367 19 to to TO 39713 5367 20 model model VB 39713 5367 21 itself -PRON- PRP 39713 5367 22 upon upon IN 39713 5367 23 these these DT 39713 5367 24 sciences science NNS 39713 5367 25 so so IN 39713 5367 26 as as IN 39713 5367 27 to to TO 39713 5367 28 profit profit VB 39713 5367 29 by by IN 39713 5367 30 their -PRON- PRP$ 39713 5367 31 advance advance NN 39713 5367 32 . . . 39713 5368 1 The the DT 39713 5368 2 arithmetician arithmetician NN 39713 5368 3 ought ought MD 39713 5368 4 therefore therefore RB 39713 5368 5 to to TO 39713 5368 6 take take VB 39713 5368 7 as as RB 39713 5368 8 guide guide VB 39713 5368 9 the the DT 39713 5368 10 analogies analogy NNS 39713 5368 11 with with IN 39713 5368 12 algebra algebra NN 39713 5368 13 . . . 39713 5369 1 These these DT 39713 5369 2 analogies analogy NNS 39713 5369 3 are be VBP 39713 5369 4 numerous numerous JJ 39713 5369 5 and and CC 39713 5369 6 if if IN 39713 5369 7 , , , 39713 5369 8 in in IN 39713 5369 9 many many JJ 39713 5369 10 cases case NNS 39713 5369 11 , , , 39713 5369 12 they -PRON- PRP 39713 5369 13 have have VBP 39713 5369 14 not not RB 39713 5369 15 yet yet RB 39713 5369 16 been be VBN 39713 5369 17 studied study VBN 39713 5369 18 sufficiently sufficiently RB 39713 5369 19 closely closely RB 39713 5369 20 to to TO 39713 5369 21 become become VB 39713 5369 22 utilizable utilizable JJ 39713 5369 23 , , , 39713 5369 24 they -PRON- PRP 39713 5369 25 at at IN 39713 5369 26 least least JJS 39713 5369 27 have have VBP 39713 5369 28 long long RB 39713 5369 29 been be VBN 39713 5369 30 foreseen foresee VBN 39713 5369 31 , , , 39713 5369 32 and and CC 39713 5369 33 even even RB 39713 5369 34 the the DT 39713 5369 35 language language NN 39713 5369 36 of of IN 39713 5369 37 the the DT 39713 5369 38 two two CD 39713 5369 39 sciences science NNS 39713 5369 40 shows show VBZ 39713 5369 41 they -PRON- PRP 39713 5369 42 have have VBP 39713 5369 43 been be VBN 39713 5369 44 recognized recognize VBN 39713 5369 45 . . . 39713 5370 1 Thus thus RB 39713 5370 2 we -PRON- PRP 39713 5370 3 speak speak VBP 39713 5370 4 of of IN 39713 5370 5 transcendent transcendent NN 39713 5370 6 numbers number NNS 39713 5370 7 and and CC 39713 5370 8 thus thus RB 39713 5370 9 we -PRON- PRP 39713 5370 10 account account VBP 39713 5370 11 for for IN 39713 5370 12 the the DT 39713 5370 13 future future JJ 39713 5370 14 classification classification NN 39713 5370 15 of of IN 39713 5370 16 these these DT 39713 5370 17 numbers number NNS 39713 5370 18 already already RB 39713 5370 19 having have VBG 39713 5370 20 as as IN 39713 5370 21 model model NN 39713 5370 22 the the DT 39713 5370 23 classification classification NN 39713 5370 24 of of IN 39713 5370 25 transcendent transcendent NN 39713 5370 26 functions function NNS 39713 5370 27 , , , 39713 5370 28 and and CC 39713 5370 29 still still RB 39713 5370 30 we -PRON- PRP 39713 5370 31 do do VBP 39713 5370 32 not not RB 39713 5370 33 as as RB 39713 5370 34 yet yet RB 39713 5370 35 very very RB 39713 5370 36 well well RB 39713 5370 37 see see UH 39713 5370 38 how how WRB 39713 5370 39 to to TO 39713 5370 40 pass pass VB 39713 5370 41 from from IN 39713 5370 42 one one CD 39713 5370 43 classification classification NN 39713 5370 44 to to IN 39713 5370 45 the the DT 39713 5370 46 other other JJ 39713 5370 47 ; ; : 39713 5370 48 but but CC 39713 5370 49 had have VBD 39713 5370 50 it -PRON- PRP 39713 5370 51 been be VBN 39713 5370 52 seen see VBN 39713 5370 53 , , , 39713 5370 54 it -PRON- PRP 39713 5370 55 would would MD 39713 5370 56 already already RB 39713 5370 57 have have VB 39713 5370 58 been be VBN 39713 5370 59 accomplished accomplish VBN 39713 5370 60 and and CC 39713 5370 61 would would MD 39713 5370 62 no no RB 39713 5370 63 longer longer RB 39713 5370 64 be be VB 39713 5370 65 the the DT 39713 5370 66 work work NN 39713 5370 67 of of IN 39713 5370 68 the the DT 39713 5370 69 future future NN 39713 5370 70 . . . 39713 5371 1 The the DT 39713 5371 2 first first JJ 39713 5371 3 example example NN 39713 5371 4 that that WDT 39713 5371 5 comes come VBZ 39713 5371 6 to to IN 39713 5371 7 my -PRON- PRP$ 39713 5371 8 mind mind NN 39713 5371 9 is be VBZ 39713 5371 10 the the DT 39713 5371 11 theory theory NN 39713 5371 12 of of IN 39713 5371 13 congruences congruence NNS 39713 5371 14 , , , 39713 5371 15 where where WRB 39713 5371 16 is be VBZ 39713 5371 17 found find VBN 39713 5371 18 a a DT 39713 5371 19 perfect perfect JJ 39713 5371 20 parallelism parallelism NN 39713 5371 21 to to IN 39713 5371 22 the the DT 39713 5371 23 theory theory NN 39713 5371 24 of of IN 39713 5371 25 algebraic algebraic NN 39713 5371 26 equations equation NNS 39713 5371 27 . . . 39713 5372 1 Surely surely RB 39713 5372 2 we -PRON- PRP 39713 5372 3 shall shall MD 39713 5372 4 succeed succeed VB 39713 5372 5 in in IN 39713 5372 6 completing complete VBG 39713 5372 7 this this DT 39713 5372 8 parallelism parallelism NN 39713 5372 9 , , , 39713 5372 10 which which WDT 39713 5372 11 must must MD 39713 5372 12 hold hold VB 39713 5372 13 for for IN 39713 5372 14 instance instance NN 39713 5372 15 between between IN 39713 5372 16 the the DT 39713 5372 17 theory theory NN 39713 5372 18 of of IN 39713 5372 19 algebraic algebraic NN 39713 5372 20 curves curve NNS 39713 5372 21 and and CC 39713 5372 22 that that IN 39713 5372 23 of of IN 39713 5372 24 congruences congruence NNS 39713 5372 25 with with IN 39713 5372 26 two two CD 39713 5372 27 variables variable NNS 39713 5372 28 . . . 39713 5373 1 And and CC 39713 5373 2 when when WRB 39713 5373 3 the the DT 39713 5373 4 problems problem NNS 39713 5373 5 relative relative VBP 39713 5373 6 to to IN 39713 5373 7 congruences congruence NNS 39713 5373 8 with with IN 39713 5373 9 several several JJ 39713 5373 10 variables variable NNS 39713 5373 11 shall shall MD 39713 5373 12 be be VB 39713 5373 13 solved solve VBN 39713 5373 14 , , , 39713 5373 15 this this DT 39713 5373 16 will will MD 39713 5373 17 be be VB 39713 5373 18 a a DT 39713 5373 19 first first JJ 39713 5373 20 step step NN 39713 5373 21 toward toward IN 39713 5373 22 the the DT 39713 5373 23 solution solution NN 39713 5373 24 of of IN 39713 5373 25 many many JJ 39713 5373 26 questions question NNS 39713 5373 27 of of IN 39713 5373 28 indeterminate indeterminate JJ 39713 5373 29 analysis analysis NN 39713 5373 30 . . . 39713 5374 1 ALGEBRA algebra VB 39713 5374 2 The the DT 39713 5374 3 theory theory NN 39713 5374 4 of of IN 39713 5374 5 algebraic algebraic JJ 39713 5374 6 equations equation NNS 39713 5374 7 will will MD 39713 5374 8 still still RB 39713 5374 9 long long RB 39713 5374 10 hold hold VB 39713 5374 11 the the DT 39713 5374 12 attention attention NN 39713 5374 13 of of IN 39713 5374 14 geometers geometer NNS 39713 5374 15 ; ; : 39713 5374 16 numerous numerous JJ 39713 5374 17 and and CC 39713 5374 18 very very RB 39713 5374 19 different different JJ 39713 5374 20 are be VBP 39713 5374 21 the the DT 39713 5374 22 sides side NNS 39713 5374 23 whence whence IN 39713 5374 24 it -PRON- PRP 39713 5374 25 may may MD 39713 5374 26 be be VB 39713 5374 27 attacked attack VBN 39713 5374 28 . . . 39713 5375 1 We -PRON- PRP 39713 5375 2 need nee MD 39713 5375 3 not not RB 39713 5375 4 think think VB 39713 5375 5 algebra algebra NN 39713 5375 6 is be VBZ 39713 5375 7 ended end VBN 39713 5375 8 because because IN 39713 5375 9 it -PRON- PRP 39713 5375 10 gives give VBZ 39713 5375 11 us -PRON- PRP 39713 5375 12 rules rule NNS 39713 5375 13 to to TO 39713 5375 14 form form VB 39713 5375 15 all all DT 39713 5375 16 possible possible JJ 39713 5375 17 combinations combination NNS 39713 5375 18 ; ; : 39713 5375 19 it -PRON- PRP 39713 5375 20 remains remain VBZ 39713 5375 21 to to TO 39713 5375 22 find find VB 39713 5375 23 the the DT 39713 5375 24 interesting interesting JJ 39713 5375 25 combinations combination NNS 39713 5375 26 , , , 39713 5375 27 those those DT 39713 5375 28 which which WDT 39713 5375 29 satisfy satisfy VBP 39713 5375 30 such such JJ 39713 5375 31 and and CC 39713 5375 32 such such PDT 39713 5375 33 a a DT 39713 5375 34 condition condition NN 39713 5375 35 . . . 39713 5376 1 Thus thus RB 39713 5376 2 will will MD 39713 5376 3 be be VB 39713 5376 4 formed form VBN 39713 5376 5 a a DT 39713 5376 6 sort sort NN 39713 5376 7 of of IN 39713 5376 8 indeterminate indeterminate JJ 39713 5376 9 analysis analysis NN 39713 5376 10 where where WRB 39713 5376 11 the the DT 39713 5376 12 unknowns unknown NNS 39713 5376 13 will will MD 39713 5376 14 no no RB 39713 5376 15 longer longer RB 39713 5376 16 be be VB 39713 5376 17 whole whole JJ 39713 5376 18 numbers number NNS 39713 5376 19 , , , 39713 5376 20 but but CC 39713 5376 21 polynomials polynomial NNS 39713 5376 22 . . . 39713 5377 1 This this DT 39713 5377 2 time time NN 39713 5377 3 it -PRON- PRP 39713 5377 4 is be VBZ 39713 5377 5 algebra algebra NN 39713 5377 6 which which WDT 39713 5377 7 will will MD 39713 5377 8 model model VB 39713 5377 9 itself -PRON- PRP 39713 5377 10 upon upon IN 39713 5377 11 arithmetic arithmetic JJ 39713 5377 12 , , , 39713 5377 13 following follow VBG 39713 5377 14 the the DT 39713 5377 15 analogy analogy NN 39713 5377 16 of of IN 39713 5377 17 the the DT 39713 5377 18 whole whole JJ 39713 5377 19 number number NN 39713 5377 20 to to IN 39713 5377 21 the the DT 39713 5377 22 integral integral JJ 39713 5377 23 polynomial polynomial NN 39713 5377 24 with with IN 39713 5377 25 any any DT 39713 5377 26 coefficients coefficient NNS 39713 5377 27 or or CC 39713 5377 28 to to IN 39713 5377 29 the the DT 39713 5377 30 integral integral JJ 39713 5377 31 polynomial polynomial NN 39713 5377 32 with with IN 39713 5377 33 integral integral JJ 39713 5377 34 coefficients coefficient NNS 39713 5377 35 . . . 39713 5378 1 GEOMETRY GEOMETRY NNP 39713 5378 2 It -PRON- PRP 39713 5378 3 looks look VBZ 39713 5378 4 as as IN 39713 5378 5 if if IN 39713 5378 6 geometry geometry NN 39713 5378 7 could could MD 39713 5378 8 contain contain VB 39713 5378 9 nothing nothing NN 39713 5378 10 which which WDT 39713 5378 11 is be VBZ 39713 5378 12 not not RB 39713 5378 13 already already RB 39713 5378 14 included include VBN 39713 5378 15 in in IN 39713 5378 16 algebra algebra NN 39713 5378 17 or or CC 39713 5378 18 analysis analysis NN 39713 5378 19 ; ; : 39713 5378 20 that that IN 39713 5378 21 geometric geometric JJ 39713 5378 22 facts fact NNS 39713 5378 23 are be VBP 39713 5378 24 only only RB 39713 5378 25 algebraic algebraic JJ 39713 5378 26 or or CC 39713 5378 27 analytic analytic JJ 39713 5378 28 facts fact NNS 39713 5378 29 expressed express VBN 39713 5378 30 in in IN 39713 5378 31 another another DT 39713 5378 32 language language NN 39713 5378 33 . . . 39713 5379 1 It -PRON- PRP 39713 5379 2 might may MD 39713 5379 3 then then RB 39713 5379 4 be be VB 39713 5379 5 thought think VBN 39713 5379 6 that that IN 39713 5379 7 after after IN 39713 5379 8 our -PRON- PRP$ 39713 5379 9 review review NN 39713 5379 10 there there RB 39713 5379 11 would would MD 39713 5379 12 remain remain VB 39713 5379 13 nothing nothing NN 39713 5379 14 more more JJR 39713 5379 15 for for IN 39713 5379 16 us -PRON- PRP 39713 5379 17 to to TO 39713 5379 18 say say VB 39713 5379 19 relating relate VBG 39713 5379 20 specially specially RB 39713 5379 21 to to IN 39713 5379 22 geometry geometry NN 39713 5379 23 . . . 39713 5380 1 This this DT 39713 5380 2 would would MD 39713 5380 3 be be VB 39713 5380 4 to to TO 39713 5380 5 fail fail VB 39713 5380 6 to to TO 39713 5380 7 recognize recognize VB 39713 5380 8 the the DT 39713 5380 9 importance importance NN 39713 5380 10 of of IN 39713 5380 11 well well RB 39713 5380 12 - - HYPH 39713 5380 13 constructed construct VBN 39713 5380 14 language language NN 39713 5380 15 , , , 39713 5380 16 not not RB 39713 5380 17 to to TO 39713 5380 18 comprehend comprehend VB 39713 5380 19 what what WP 39713 5380 20 is be VBZ 39713 5380 21 added add VBN 39713 5380 22 to to IN 39713 5380 23 the the DT 39713 5380 24 things thing NNS 39713 5380 25 themselves -PRON- PRP 39713 5380 26 by by IN 39713 5380 27 the the DT 39713 5380 28 method method NN 39713 5380 29 of of IN 39713 5380 30 expressing express VBG 39713 5380 31 these these DT 39713 5380 32 things thing NNS 39713 5380 33 and and CC 39713 5380 34 consequently consequently RB 39713 5380 35 of of IN 39713 5380 36 grouping group VBG 39713 5380 37 them -PRON- PRP 39713 5380 38 . . . 39713 5381 1 First first RB 39713 5381 2 the the DT 39713 5381 3 geometric geometric JJ 39713 5381 4 considerations consideration NNS 39713 5381 5 lead lead VBP 39713 5381 6 us -PRON- PRP 39713 5381 7 to to TO 39713 5381 8 set set VB 39713 5381 9 ourselves -PRON- PRP 39713 5381 10 new new JJ 39713 5381 11 problems problem NNS 39713 5381 12 ; ; : 39713 5381 13 these these DT 39713 5381 14 may may MD 39713 5381 15 be be VB 39713 5381 16 , , , 39713 5381 17 if if IN 39713 5381 18 you -PRON- PRP 39713 5381 19 choose choose VBP 39713 5381 20 , , , 39713 5381 21 analytic analytic JJ 39713 5381 22 problems problem NNS 39713 5381 23 , , , 39713 5381 24 but but CC 39713 5381 25 such such JJ 39713 5381 26 as as IN 39713 5381 27 we -PRON- PRP 39713 5381 28 never never RB 39713 5381 29 would would MD 39713 5381 30 have have VB 39713 5381 31 set set VBN 39713 5381 32 ourselves -PRON- PRP 39713 5381 33 in in IN 39713 5381 34 connection connection NN 39713 5381 35 with with IN 39713 5381 36 analysis analysis NN 39713 5381 37 . . . 39713 5382 1 Analysis analysis NN 39713 5382 2 profits profit NNS 39713 5382 3 by by IN 39713 5382 4 them -PRON- PRP 39713 5382 5 however however RB 39713 5382 6 , , , 39713 5382 7 as as IN 39713 5382 8 it -PRON- PRP 39713 5382 9 profits profit VBZ 39713 5382 10 by by IN 39713 5382 11 those those DT 39713 5382 12 it -PRON- PRP 39713 5382 13 has have VBZ 39713 5382 14 to to TO 39713 5382 15 solve solve VB 39713 5382 16 to to TO 39713 5382 17 satisfy satisfy VB 39713 5382 18 the the DT 39713 5382 19 needs need NNS 39713 5382 20 of of IN 39713 5382 21 physics physics NN 39713 5382 22 . . . 39713 5383 1 A a DT 39713 5383 2 great great JJ 39713 5383 3 advantage advantage NN 39713 5383 4 of of IN 39713 5383 5 geometry geometry NN 39713 5383 6 lies lie VBZ 39713 5383 7 in in IN 39713 5383 8 the the DT 39713 5383 9 fact fact NN 39713 5383 10 that that IN 39713 5383 11 in in IN 39713 5383 12 it -PRON- PRP 39713 5383 13 the the DT 39713 5383 14 senses sense NNS 39713 5383 15 can can MD 39713 5383 16 come come VB 39713 5383 17 to to IN 39713 5383 18 the the DT 39713 5383 19 aid aid NN 39713 5383 20 of of IN 39713 5383 21 thought thought NN 39713 5383 22 , , , 39713 5383 23 and and CC 39713 5383 24 help help VB 39713 5383 25 find find VB 39713 5383 26 the the DT 39713 5383 27 path path NN 39713 5383 28 to to TO 39713 5383 29 follow follow VB 39713 5383 30 , , , 39713 5383 31 and and CC 39713 5383 32 many many JJ 39713 5383 33 minds mind NNS 39713 5383 34 prefer prefer VBP 39713 5383 35 to to TO 39713 5383 36 put put VB 39713 5383 37 the the DT 39713 5383 38 problems problem NNS 39713 5383 39 of of IN 39713 5383 40 analysis analysis NN 39713 5383 41 into into IN 39713 5383 42 geometric geometric JJ 39713 5383 43 form form NN 39713 5383 44 . . . 39713 5384 1 Unhappily unhappily RB 39713 5384 2 our -PRON- PRP$ 39713 5384 3 senses sense NNS 39713 5384 4 can can MD 39713 5384 5 not not RB 39713 5384 6 carry carry VB 39713 5384 7 us -PRON- PRP 39713 5384 8 very very RB 39713 5384 9 far far RB 39713 5384 10 , , , 39713 5384 11 and and CC 39713 5384 12 they -PRON- PRP 39713 5384 13 desert desert VBP 39713 5384 14 us -PRON- PRP 39713 5384 15 when when WRB 39713 5384 16 we -PRON- PRP 39713 5384 17 wish wish VBP 39713 5384 18 to to TO 39713 5384 19 soar soar VB 39713 5384 20 beyond beyond IN 39713 5384 21 the the DT 39713 5384 22 classical classical JJ 39713 5384 23 three three CD 39713 5384 24 dimensions dimension NNS 39713 5384 25 . . . 39713 5385 1 Does do VBZ 39713 5385 2 this this DT 39713 5385 3 mean mean VB 39713 5385 4 that that IN 39713 5385 5 , , , 39713 5385 6 beyond beyond IN 39713 5385 7 the the DT 39713 5385 8 restricted restricted JJ 39713 5385 9 domain domain NN 39713 5385 10 wherein wherein WRB 39713 5385 11 they -PRON- PRP 39713 5385 12 seem seem VBP 39713 5385 13 to to TO 39713 5385 14 wish wish VB 39713 5385 15 to to TO 39713 5385 16 imprison imprison VB 39713 5385 17 us -PRON- PRP 39713 5385 18 , , , 39713 5385 19 we -PRON- PRP 39713 5385 20 should should MD 39713 5385 21 rely rely VB 39713 5385 22 only only RB 39713 5385 23 on on IN 39713 5385 24 pure pure JJ 39713 5385 25 analysis analysis NN 39713 5385 26 and and CC 39713 5385 27 that that IN 39713 5385 28 all all DT 39713 5385 29 geometry geometry NN 39713 5385 30 of of IN 39713 5385 31 more more JJR 39713 5385 32 than than IN 39713 5385 33 three three CD 39713 5385 34 dimensions dimension NNS 39713 5385 35 is be VBZ 39713 5385 36 vain vain JJ 39713 5385 37 and and CC 39713 5385 38 objectless objectless NN 39713 5385 39 ? ? . 39713 5386 1 The the DT 39713 5386 2 greatest great JJS 39713 5386 3 masters master NNS 39713 5386 4 of of IN 39713 5386 5 a a DT 39713 5386 6 preceding precede VBG 39713 5386 7 generation generation NN 39713 5386 8 would would MD 39713 5386 9 have have VB 39713 5386 10 answered answer VBN 39713 5386 11 ' ' `` 39713 5386 12 yes yes UH 39713 5386 13 ' ' '' 39713 5386 14 ; ; : 39713 5386 15 to to TO 39713 5386 16 - - HYPH 39713 5386 17 day day NN 39713 5386 18 we -PRON- PRP 39713 5386 19 are be VBP 39713 5386 20 so so RB 39713 5386 21 familiarized familiarized JJ 39713 5386 22 with with IN 39713 5386 23 this this DT 39713 5386 24 notion notion NN 39713 5386 25 that that IN 39713 5386 26 we -PRON- PRP 39713 5386 27 can can MD 39713 5386 28 speak speak VB 39713 5386 29 of of IN 39713 5386 30 it -PRON- PRP 39713 5386 31 , , , 39713 5386 32 even even RB 39713 5386 33 in in IN 39713 5386 34 a a DT 39713 5386 35 university university NN 39713 5386 36 course course NN 39713 5386 37 , , , 39713 5386 38 without without IN 39713 5386 39 arousing arouse VBG 39713 5386 40 too too RB 39713 5386 41 much much JJ 39713 5386 42 astonishment astonishment NN 39713 5386 43 . . . 39713 5387 1 But but CC 39713 5387 2 what what WP 39713 5387 3 good good NN 39713 5387 4 is be VBZ 39713 5387 5 it -PRON- PRP 39713 5387 6 ? ? . 39713 5388 1 That that DT 39713 5388 2 is be VBZ 39713 5388 3 easy easy JJ 39713 5388 4 to to TO 39713 5388 5 see see VB 39713 5388 6 : : : 39713 5388 7 First first RB 39713 5388 8 it -PRON- PRP 39713 5388 9 gives give VBZ 39713 5388 10 us -PRON- PRP 39713 5388 11 a a DT 39713 5388 12 very very RB 39713 5388 13 convenient convenient JJ 39713 5388 14 terminology terminology NN 39713 5388 15 , , , 39713 5388 16 which which WDT 39713 5388 17 expresses express VBZ 39713 5388 18 concisely concisely RB 39713 5388 19 what what WP 39713 5388 20 the the DT 39713 5388 21 ordinary ordinary JJ 39713 5388 22 analytic analytic JJ 39713 5388 23 language language NN 39713 5388 24 would would MD 39713 5388 25 say say VB 39713 5388 26 in in IN 39713 5388 27 prolix prolix JJ 39713 5388 28 phrases phrase NNS 39713 5388 29 . . . 39713 5389 1 Moreover moreover RB 39713 5389 2 , , , 39713 5389 3 this this DT 39713 5389 4 language language NN 39713 5389 5 makes make VBZ 39713 5389 6 us -PRON- PRP 39713 5389 7 call call VB 39713 5389 8 like like IN 39713 5389 9 things thing NNS 39713 5389 10 by by IN 39713 5389 11 the the DT 39713 5389 12 same same JJ 39713 5389 13 name name NN 39713 5389 14 and and CC 39713 5389 15 emphasize emphasize JJ 39713 5389 16 analogies analogy NNS 39713 5389 17 it -PRON- PRP 39713 5389 18 will will MD 39713 5389 19 never never RB 39713 5389 20 again again RB 39713 5389 21 let let VB 39713 5389 22 us -PRON- PRP 39713 5389 23 forget forget VB 39713 5389 24 . . . 39713 5390 1 It -PRON- PRP 39713 5390 2 enables enable VBZ 39713 5390 3 us -PRON- PRP 39713 5390 4 therefore therefore RB 39713 5390 5 still still RB 39713 5390 6 to to TO 39713 5390 7 find find VB 39713 5390 8 our -PRON- PRP$ 39713 5390 9 way way NN 39713 5390 10 in in IN 39713 5390 11 this this DT 39713 5390 12 space space NN 39713 5390 13 which which WDT 39713 5390 14 is be VBZ 39713 5390 15 too too RB 39713 5390 16 big big JJ 39713 5390 17 for for IN 39713 5390 18 us -PRON- PRP 39713 5390 19 and and CC 39713 5390 20 which which WDT 39713 5390 21 we -PRON- PRP 39713 5390 22 can can MD 39713 5390 23 not not RB 39713 5390 24 see see VB 39713 5390 25 , , , 39713 5390 26 always always RB 39713 5390 27 recalling recall VBG 39713 5390 28 visible visible JJ 39713 5390 29 space space NN 39713 5390 30 , , , 39713 5390 31 which which WDT 39713 5390 32 is be VBZ 39713 5390 33 only only RB 39713 5390 34 an an DT 39713 5390 35 imperfect imperfect JJ 39713 5390 36 image image NN 39713 5390 37 of of IN 39713 5390 38 it -PRON- PRP 39713 5390 39 doubtless doubtless RB 39713 5390 40 , , , 39713 5390 41 but but CC 39713 5390 42 which which WDT 39713 5390 43 is be VBZ 39713 5390 44 nevertheless nevertheless RB 39713 5390 45 an an DT 39713 5390 46 image image NN 39713 5390 47 . . . 39713 5391 1 Here here RB 39713 5391 2 again again RB 39713 5391 3 , , , 39713 5391 4 as as IN 39713 5391 5 in in IN 39713 5391 6 all all PDT 39713 5391 7 the the DT 39713 5391 8 preceding precede VBG 39713 5391 9 examples example NNS 39713 5391 10 , , , 39713 5391 11 it -PRON- PRP 39713 5391 12 is be VBZ 39713 5391 13 analogy analogy NN 39713 5391 14 with with IN 39713 5391 15 the the DT 39713 5391 16 simple simple JJ 39713 5391 17 which which WDT 39713 5391 18 enables enable VBZ 39713 5391 19 us -PRON- PRP 39713 5391 20 to to TO 39713 5391 21 comprehend comprehend VB 39713 5391 22 the the DT 39713 5391 23 complex complex NN 39713 5391 24 . . . 39713 5392 1 This this DT 39713 5392 2 geometry geometry NN 39713 5392 3 of of IN 39713 5392 4 more more JJR 39713 5392 5 than than IN 39713 5392 6 three three CD 39713 5392 7 dimensions dimension NNS 39713 5392 8 is be VBZ 39713 5392 9 not not RB 39713 5392 10 a a DT 39713 5392 11 simple simple JJ 39713 5392 12 analytic analytic JJ 39713 5392 13 geometry geometry NN 39713 5392 14 ; ; : 39713 5392 15 it -PRON- PRP 39713 5392 16 is be VBZ 39713 5392 17 not not RB 39713 5392 18 purely purely RB 39713 5392 19 quantitative quantitative JJ 39713 5392 20 , , , 39713 5392 21 but but CC 39713 5392 22 qualitative qualitative JJ 39713 5392 23 also also RB 39713 5392 24 , , , 39713 5392 25 and and CC 39713 5392 26 it -PRON- PRP 39713 5392 27 is be VBZ 39713 5392 28 in in IN 39713 5392 29 this this DT 39713 5392 30 respect respect NN 39713 5392 31 above above IN 39713 5392 32 all all DT 39713 5392 33 that that WDT 39713 5392 34 it -PRON- PRP 39713 5392 35 becomes become VBZ 39713 5392 36 interesting interesting JJ 39713 5392 37 . . . 39713 5393 1 There there EX 39713 5393 2 is be VBZ 39713 5393 3 a a DT 39713 5393 4 science science NN 39713 5393 5 called call VBN 39713 5393 6 _ _ NNP 39713 5393 7 analysis analysis NN 39713 5393 8 situs situs NN 39713 5393 9 _ _ NNP 39713 5393 10 and and CC 39713 5393 11 which which WDT 39713 5393 12 has have VBZ 39713 5393 13 for for IN 39713 5393 14 its -PRON- PRP$ 39713 5393 15 object object NN 39713 5393 16 the the DT 39713 5393 17 study study NN 39713 5393 18 of of IN 39713 5393 19 the the DT 39713 5393 20 positional positional JJ 39713 5393 21 relations relation NNS 39713 5393 22 of of IN 39713 5393 23 the the DT 39713 5393 24 different different JJ 39713 5393 25 elements element NNS 39713 5393 26 of of IN 39713 5393 27 a a DT 39713 5393 28 figure figure NN 39713 5393 29 , , , 39713 5393 30 apart apart RB 39713 5393 31 from from IN 39713 5393 32 their -PRON- PRP$ 39713 5393 33 sizes size NNS 39713 5393 34 . . . 39713 5394 1 This this DT 39713 5394 2 geometry geometry NN 39713 5394 3 is be VBZ 39713 5394 4 purely purely RB 39713 5394 5 qualitative qualitative JJ 39713 5394 6 ; ; : 39713 5394 7 its -PRON- PRP$ 39713 5394 8 theorems theorem NNS 39713 5394 9 would would MD 39713 5394 10 remain remain VB 39713 5394 11 true true JJ 39713 5394 12 if if IN 39713 5394 13 the the DT 39713 5394 14 figures figure NNS 39713 5394 15 , , , 39713 5394 16 instead instead RB 39713 5394 17 of of IN 39713 5394 18 being be VBG 39713 5394 19 exact exact JJ 39713 5394 20 , , , 39713 5394 21 were be VBD 39713 5394 22 roughly roughly RB 39713 5394 23 imitated imitate VBN 39713 5394 24 by by IN 39713 5394 25 a a DT 39713 5394 26 child child NN 39713 5394 27 . . . 39713 5395 1 We -PRON- PRP 39713 5395 2 may may MD 39713 5395 3 also also RB 39713 5395 4 make make VB 39713 5395 5 an an DT 39713 5395 6 _ _ NNP 39713 5395 7 analysis analysis NN 39713 5395 8 situs situs NN 39713 5395 9 _ _ NNP 39713 5395 10 of of IN 39713 5395 11 more more JJR 39713 5395 12 than than IN 39713 5395 13 three three CD 39713 5395 14 dimensions dimension NNS 39713 5395 15 . . . 39713 5396 1 The the DT 39713 5396 2 importance importance NN 39713 5396 3 of of IN 39713 5396 4 _ _ NNP 39713 5396 5 analysis analysis NN 39713 5396 6 situs situs NN 39713 5396 7 _ _ NNP 39713 5396 8 is be VBZ 39713 5396 9 enormous enormous JJ 39713 5396 10 and and CC 39713 5396 11 can can MD 39713 5396 12 not not RB 39713 5396 13 be be VB 39713 5396 14 too too RB 39713 5396 15 much much RB 39713 5396 16 emphasized emphasize VBN 39713 5396 17 ; ; : 39713 5396 18 the the DT 39713 5396 19 advantage advantage NN 39713 5396 20 obtained obtain VBN 39713 5396 21 from from IN 39713 5396 22 it -PRON- PRP 39713 5396 23 by by IN 39713 5396 24 Riemann Riemann NNP 39713 5396 25 , , , 39713 5396 26 one one CD 39713 5396 27 of of IN 39713 5396 28 its -PRON- PRP$ 39713 5396 29 chief chief JJ 39713 5396 30 creators creator NNS 39713 5396 31 , , , 39713 5396 32 would would MD 39713 5396 33 suffice suffice VB 39713 5396 34 to to TO 39713 5396 35 prove prove VB 39713 5396 36 this this DT 39713 5396 37 . . . 39713 5397 1 We -PRON- PRP 39713 5397 2 must must MD 39713 5397 3 achieve achieve VB 39713 5397 4 its -PRON- PRP$ 39713 5397 5 complete complete JJ 39713 5397 6 construction construction NN 39713 5397 7 in in IN 39713 5397 8 the the DT 39713 5397 9 higher high JJR 39713 5397 10 spaces space NNS 39713 5397 11 ; ; : 39713 5397 12 then then RB 39713 5397 13 we -PRON- PRP 39713 5397 14 shall shall MD 39713 5397 15 have have VB 39713 5397 16 an an DT 39713 5397 17 instrument instrument NN 39713 5397 18 which which WDT 39713 5397 19 will will MD 39713 5397 20 enable enable VB 39713 5397 21 us -PRON- PRP 39713 5397 22 really really RB 39713 5397 23 to to TO 39713 5397 24 see see VB 39713 5397 25 in in IN 39713 5397 26 hyperspace hyperspace NN 39713 5397 27 and and CC 39713 5397 28 supplement supplement VB 39713 5397 29 our -PRON- PRP$ 39713 5397 30 senses sense NNS 39713 5397 31 . . . 39713 5398 1 The the DT 39713 5398 2 problems problem NNS 39713 5398 3 of of IN 39713 5398 4 _ _ NNP 39713 5398 5 analysis analysis NN 39713 5398 6 situs situs NN 39713 5398 7 _ _ NNP 39713 5398 8 would would MD 39713 5398 9 perhaps perhaps RB 39713 5398 10 not not RB 39713 5398 11 have have VB 39713 5398 12 suggested suggest VBN 39713 5398 13 themselves -PRON- PRP 39713 5398 14 if if IN 39713 5398 15 the the DT 39713 5398 16 analytic analytic JJ 39713 5398 17 language language NN 39713 5398 18 alone alone RB 39713 5398 19 had have VBD 39713 5398 20 been be VBN 39713 5398 21 spoken speak VBN 39713 5398 22 ; ; : 39713 5398 23 or or CC 39713 5398 24 rather rather RB 39713 5398 25 , , , 39713 5398 26 I -PRON- PRP 39713 5398 27 am be VBP 39713 5398 28 mistaken mistaken JJ 39713 5398 29 , , , 39713 5398 30 they -PRON- PRP 39713 5398 31 would would MD 39713 5398 32 have have VB 39713 5398 33 occurred occur VBN 39713 5398 34 surely surely RB 39713 5398 35 , , , 39713 5398 36 since since IN 39713 5398 37 their -PRON- PRP$ 39713 5398 38 solution solution NN 39713 5398 39 is be VBZ 39713 5398 40 essential essential JJ 39713 5398 41 to to IN 39713 5398 42 a a DT 39713 5398 43 crowd crowd NN 39713 5398 44 of of IN 39713 5398 45 questions question NNS 39713 5398 46 in in IN 39713 5398 47 analysis analysis NN 39713 5398 48 , , , 39713 5398 49 but but CC 39713 5398 50 they -PRON- PRP 39713 5398 51 would would MD 39713 5398 52 have have VB 39713 5398 53 come come VBN 39713 5398 54 singly singly RB 39713 5398 55 , , , 39713 5398 56 one one CD 39713 5398 57 after after IN 39713 5398 58 another another DT 39713 5398 59 , , , 39713 5398 60 and and CC 39713 5398 61 without without IN 39713 5398 62 our -PRON- PRP$ 39713 5398 63 being be VBG 39713 5398 64 able able JJ 39713 5398 65 to to TO 39713 5398 66 perceive perceive VB 39713 5398 67 their -PRON- PRP$ 39713 5398 68 common common JJ 39713 5398 69 bond bond NN 39713 5398 70 . . . 39713 5399 1 CANTORISM CANTORISM NNP 39713 5399 2 I -PRON- PRP 39713 5399 3 have have VBP 39713 5399 4 spoken speak VBN 39713 5399 5 above above IN 39713 5399 6 of of IN 39713 5399 7 our -PRON- PRP$ 39713 5399 8 need need NN 39713 5399 9 to to TO 39713 5399 10 go go VB 39713 5399 11 back back RB 39713 5399 12 continually continually RB 39713 5399 13 to to IN 39713 5399 14 the the DT 39713 5399 15 first first JJ 39713 5399 16 principles principle NNS 39713 5399 17 of of IN 39713 5399 18 our -PRON- PRP$ 39713 5399 19 science science NN 39713 5399 20 , , , 39713 5399 21 and and CC 39713 5399 22 of of IN 39713 5399 23 the the DT 39713 5399 24 advantage advantage NN 39713 5399 25 of of IN 39713 5399 26 this this DT 39713 5399 27 for for IN 39713 5399 28 the the DT 39713 5399 29 study study NN 39713 5399 30 of of IN 39713 5399 31 the the DT 39713 5399 32 human human JJ 39713 5399 33 mind mind NN 39713 5399 34 . . . 39713 5400 1 This this DT 39713 5400 2 need need NN 39713 5400 3 has have VBZ 39713 5400 4 inspired inspire VBN 39713 5400 5 two two CD 39713 5400 6 endeavors endeavor NNS 39713 5400 7 which which WDT 39713 5400 8 have have VBP 39713 5400 9 taken take VBN 39713 5400 10 a a DT 39713 5400 11 very very RB 39713 5400 12 prominent prominent JJ 39713 5400 13 place place NN 39713 5400 14 in in IN 39713 5400 15 the the DT 39713 5400 16 most most RBS 39713 5400 17 recent recent JJ 39713 5400 18 annals annal NNS 39713 5400 19 of of IN 39713 5400 20 mathematics mathematic NNS 39713 5400 21 . . . 39713 5401 1 The the DT 39713 5401 2 first first JJ 39713 5401 3 is be VBZ 39713 5401 4 Cantorism Cantorism NNP 39713 5401 5 , , , 39713 5401 6 which which WDT 39713 5401 7 has have VBZ 39713 5401 8 rendered render VBN 39713 5401 9 our -PRON- PRP$ 39713 5401 10 science science NN 39713 5401 11 such such JJ 39713 5401 12 conspicuous conspicuous JJ 39713 5401 13 service service NN 39713 5401 14 . . . 39713 5402 1 Cantor Cantor NNP 39713 5402 2 introduced introduce VBD 39713 5402 3 into into IN 39713 5402 4 science science NN 39713 5402 5 a a DT 39713 5402 6 new new JJ 39713 5402 7 way way NN 39713 5402 8 of of IN 39713 5402 9 considering consider VBG 39713 5402 10 mathematical mathematical JJ 39713 5402 11 infinity infinity NN 39713 5402 12 . . . 39713 5403 1 One one CD 39713 5403 2 of of IN 39713 5403 3 the the DT 39713 5403 4 characteristic characteristic JJ 39713 5403 5 traits trait NNS 39713 5403 6 of of IN 39713 5403 7 Cantorism Cantorism NNP 39713 5403 8 is be VBZ 39713 5403 9 that that IN 39713 5403 10 in in IN 39713 5403 11 place place NN 39713 5403 12 of of IN 39713 5403 13 going go VBG 39713 5403 14 up up RP 39713 5403 15 to to IN 39713 5403 16 the the DT 39713 5403 17 general general NN 39713 5403 18 by by IN 39713 5403 19 building build VBG 39713 5403 20 up up RP 39713 5403 21 constructions construction NNS 39713 5403 22 more more RBR 39713 5403 23 and and CC 39713 5403 24 more more RBR 39713 5403 25 complicated complicated JJ 39713 5403 26 and and CC 39713 5403 27 defining define VBG 39713 5403 28 by by IN 39713 5403 29 construction construction NN 39713 5403 30 , , , 39713 5403 31 it -PRON- PRP 39713 5403 32 starts start VBZ 39713 5403 33 from from IN 39713 5403 34 the the DT 39713 5403 35 _ _ NNP 39713 5403 36 genus genus NNP 39713 5403 37 supremum supremum NN 39713 5403 38 _ _ NNP 39713 5403 39 and and CC 39713 5403 40 defines define VBZ 39713 5403 41 only only RB 39713 5403 42 , , , 39713 5403 43 as as IN 39713 5403 44 the the DT 39713 5403 45 scholastics scholastic NNS 39713 5403 46 would would MD 39713 5403 47 have have VB 39713 5403 48 said say VBD 39713 5403 49 , , , 39713 5403 50 _ _ NNP 39713 5403 51 per per IN 39713 5403 52 genus genus FW 39713 5403 53 proximum proximum FW 39713 5403 54 et et NN 39713 5403 55 differentiam differentiam NN 39713 5403 56 specificam specificam NNP 39713 5403 57 _ _ NNP 39713 5403 58 . . . 39713 5404 1 Thence thence NN 39713 5404 2 comes come VBZ 39713 5404 3 the the DT 39713 5404 4 horror horror NN 39713 5404 5 it -PRON- PRP 39713 5404 6 has have VBZ 39713 5404 7 sometimes sometimes RB 39713 5404 8 inspired inspire VBN 39713 5404 9 in in IN 39713 5404 10 certain certain JJ 39713 5404 11 minds mind NNS 39713 5404 12 , , , 39713 5404 13 for for IN 39713 5404 14 instance instance NN 39713 5404 15 in in IN 39713 5404 16 Hermite Hermite NNP 39713 5404 17 , , , 39713 5404 18 whose whose WP$ 39713 5404 19 favorite favorite JJ 39713 5404 20 idea idea NN 39713 5404 21 was be VBD 39713 5404 22 to to TO 39713 5404 23 compare compare VB 39713 5404 24 the the DT 39713 5404 25 mathematical mathematical JJ 39713 5404 26 to to IN 39713 5404 27 the the DT 39713 5404 28 natural natural JJ 39713 5404 29 sciences science NNS 39713 5404 30 . . . 39713 5405 1 With with IN 39713 5405 2 most most JJS 39713 5405 3 of of IN 39713 5405 4 us -PRON- PRP 39713 5405 5 these these DT 39713 5405 6 prejudices prejudice NNS 39713 5405 7 have have VBP 39713 5405 8 been be VBN 39713 5405 9 dissipated dissipate VBN 39713 5405 10 , , , 39713 5405 11 but but CC 39713 5405 12 it -PRON- PRP 39713 5405 13 has have VBZ 39713 5405 14 come come VBN 39713 5405 15 to to TO 39713 5405 16 pass pass VB 39713 5405 17 that that IN 39713 5405 18 we -PRON- PRP 39713 5405 19 have have VBP 39713 5405 20 encountered encounter VBN 39713 5405 21 certain certain JJ 39713 5405 22 paradoxes paradox NNS 39713 5405 23 , , , 39713 5405 24 certain certain JJ 39713 5405 25 apparent apparent JJ 39713 5405 26 contradictions contradiction NNS 39713 5405 27 that that WDT 39713 5405 28 would would MD 39713 5405 29 have have VB 39713 5405 30 delighted delight VBN 39713 5405 31 Zeno Zeno NNP 39713 5405 32 , , , 39713 5405 33 the the DT 39713 5405 34 Eleatic Eleatic NNP 39713 5405 35 and and CC 39713 5405 36 the the DT 39713 5405 37 school school NN 39713 5405 38 of of IN 39713 5405 39 Megara Megara NNP 39713 5405 40 . . . 39713 5406 1 And and CC 39713 5406 2 then then RB 39713 5406 3 each each DT 39713 5406 4 must must MD 39713 5406 5 seek seek VB 39713 5406 6 the the DT 39713 5406 7 remedy remedy NN 39713 5406 8 . . . 39713 5407 1 For for IN 39713 5407 2 my -PRON- PRP$ 39713 5407 3 part part NN 39713 5407 4 , , , 39713 5407 5 I -PRON- PRP 39713 5407 6 think think VBP 39713 5407 7 , , , 39713 5407 8 and and CC 39713 5407 9 I -PRON- PRP 39713 5407 10 am be VBP 39713 5407 11 not not RB 39713 5407 12 the the DT 39713 5407 13 only only JJ 39713 5407 14 one one CD 39713 5407 15 , , , 39713 5407 16 that that IN 39713 5407 17 the the DT 39713 5407 18 important important JJ 39713 5407 19 thing thing NN 39713 5407 20 is be VBZ 39713 5407 21 never never RB 39713 5407 22 to to TO 39713 5407 23 introduce introduce VB 39713 5407 24 entities entity NNS 39713 5407 25 not not RB 39713 5407 26 completely completely RB 39713 5407 27 definable definable JJ 39713 5407 28 in in IN 39713 5407 29 a a DT 39713 5407 30 finite finite JJ 39713 5407 31 number number NN 39713 5407 32 of of IN 39713 5407 33 words word NNS 39713 5407 34 . . . 39713 5408 1 Whatever whatever WDT 39713 5408 2 be be VB 39713 5408 3 the the DT 39713 5408 4 cure cure NN 39713 5408 5 adopted adopt VBN 39713 5408 6 , , , 39713 5408 7 we -PRON- PRP 39713 5408 8 may may MD 39713 5408 9 promise promise VB 39713 5408 10 ourselves -PRON- PRP 39713 5408 11 the the DT 39713 5408 12 joy joy NN 39713 5408 13 of of IN 39713 5408 14 the the DT 39713 5408 15 doctor doctor NN 39713 5408 16 called call VBN 39713 5408 17 in in RP 39713 5408 18 to to TO 39713 5408 19 follow follow VB 39713 5408 20 a a DT 39713 5408 21 beautiful beautiful JJ 39713 5408 22 pathologic pathologic JJ 39713 5408 23 case case NN 39713 5408 24 . . . 39713 5409 1 THE the DT 39713 5409 2 INVESTIGATION INVESTIGATION NNP 39713 5409 3 OF of IN 39713 5409 4 THE the DT 39713 5409 5 POSTULATES postulate NNS 39713 5409 6 On on IN 39713 5409 7 the the DT 39713 5409 8 other other JJ 39713 5409 9 hand hand NN 39713 5409 10 , , , 39713 5409 11 efforts effort NNS 39713 5409 12 have have VBP 39713 5409 13 been be VBN 39713 5409 14 made make VBN 39713 5409 15 to to TO 39713 5409 16 enumerate enumerate VB 39713 5409 17 the the DT 39713 5409 18 axioms axiom NNS 39713 5409 19 and and CC 39713 5409 20 postulates postulate NNS 39713 5409 21 , , , 39713 5409 22 more more RBR 39713 5409 23 or or CC 39713 5409 24 less less RBR 39713 5409 25 hidden hidden JJ 39713 5409 26 , , , 39713 5409 27 which which WDT 39713 5409 28 serve serve VBP 39713 5409 29 as as IN 39713 5409 30 foundation foundation NN 39713 5409 31 to to IN 39713 5409 32 the the DT 39713 5409 33 different different JJ 39713 5409 34 theories theory NNS 39713 5409 35 of of IN 39713 5409 36 mathematics mathematic NNS 39713 5409 37 . . . 39713 5410 1 Professor Professor NNP 39713 5410 2 Hilbert Hilbert NNP 39713 5410 3 has have VBZ 39713 5410 4 obtained obtain VBN 39713 5410 5 the the DT 39713 5410 6 most most RBS 39713 5410 7 brilliant brilliant JJ 39713 5410 8 results result NNS 39713 5410 9 . . . 39713 5411 1 It -PRON- PRP 39713 5411 2 seems seem VBZ 39713 5411 3 at at IN 39713 5411 4 first first RB 39713 5411 5 that that IN 39713 5411 6 this this DT 39713 5411 7 domain domain NN 39713 5411 8 would would MD 39713 5411 9 be be VB 39713 5411 10 very very RB 39713 5411 11 restricted restrict VBN 39713 5411 12 and and CC 39713 5411 13 there there EX 39713 5411 14 would would MD 39713 5411 15 be be VB 39713 5411 16 nothing nothing NN 39713 5411 17 more more JJR 39713 5411 18 to to TO 39713 5411 19 do do VB 39713 5411 20 when when WRB 39713 5411 21 the the DT 39713 5411 22 inventory inventory NN 39713 5411 23 should should MD 39713 5411 24 be be VB 39713 5411 25 ended end VBN 39713 5411 26 , , , 39713 5411 27 which which WDT 39713 5411 28 could could MD 39713 5411 29 not not RB 39713 5411 30 take take VB 39713 5411 31 long long RB 39713 5411 32 . . . 39713 5412 1 But but CC 39713 5412 2 when when WRB 39713 5412 3 we -PRON- PRP 39713 5412 4 shall shall MD 39713 5412 5 have have VB 39713 5412 6 enumerated enumerate VBN 39713 5412 7 all all DT 39713 5412 8 , , , 39713 5412 9 there there EX 39713 5412 10 will will MD 39713 5412 11 be be VB 39713 5412 12 many many JJ 39713 5412 13 ways way NNS 39713 5412 14 of of IN 39713 5412 15 classifying classify VBG 39713 5412 16 all all DT 39713 5412 17 ; ; : 39713 5412 18 a a DT 39713 5412 19 good good JJ 39713 5412 20 librarian librarian NN 39713 5412 21 always always RB 39713 5412 22 finds find VBZ 39713 5412 23 something something NN 39713 5412 24 to to TO 39713 5412 25 do do VB 39713 5412 26 , , , 39713 5412 27 and and CC 39713 5412 28 each each DT 39713 5412 29 new new JJ 39713 5412 30 classification classification NN 39713 5412 31 will will MD 39713 5412 32 be be VB 39713 5412 33 instructive instructive JJ 39713 5412 34 for for IN 39713 5412 35 the the DT 39713 5412 36 philosopher philosopher NN 39713 5412 37 . . . 39713 5413 1 Here here RB 39713 5413 2 I -PRON- PRP 39713 5413 3 end end VBP 39713 5413 4 this this DT 39713 5413 5 review review NN 39713 5413 6 which which WDT 39713 5413 7 I -PRON- PRP 39713 5413 8 could could MD 39713 5413 9 not not RB 39713 5413 10 dream dream VB 39713 5413 11 of of IN 39713 5413 12 making make VBG 39713 5413 13 complete complete JJ 39713 5413 14 . . . 39713 5414 1 I -PRON- PRP 39713 5414 2 think think VBP 39713 5414 3 these these DT 39713 5414 4 examples example NNS 39713 5414 5 will will MD 39713 5414 6 suffice suffice VB 39713 5414 7 to to TO 39713 5414 8 show show VB 39713 5414 9 by by IN 39713 5414 10 what what WDT 39713 5414 11 mechanism mechanism NN 39713 5414 12 the the DT 39713 5414 13 mathematical mathematical JJ 39713 5414 14 sciences science NNS 39713 5414 15 have have VBP 39713 5414 16 made make VBN 39713 5414 17 their -PRON- PRP$ 39713 5414 18 progress progress NN 39713 5414 19 in in IN 39713 5414 20 the the DT 39713 5414 21 past past NN 39713 5414 22 and and CC 39713 5414 23 in in IN 39713 5414 24 what what WDT 39713 5414 25 direction direction NN 39713 5414 26 they -PRON- PRP 39713 5414 27 must must MD 39713 5414 28 advance advance VB 39713 5414 29 in in IN 39713 5414 30 the the DT 39713 5414 31 future future NN 39713 5414 32 . . . 39713 5415 1 CHAPTER CHAPTER NNP 39713 5415 2 III III NNP 39713 5415 3 MATHEMATICAL MATHEMATICAL NNP 39713 5415 4 CREATION CREATION VBD 39713 5415 5 The the DT 39713 5415 6 genesis genesis NN 39713 5415 7 of of IN 39713 5415 8 mathematical mathematical JJ 39713 5415 9 creation creation NN 39713 5415 10 is be VBZ 39713 5415 11 a a DT 39713 5415 12 problem problem NN 39713 5415 13 which which WDT 39713 5415 14 should should MD 39713 5415 15 intensely intensely RB 39713 5415 16 interest interest VB 39713 5415 17 the the DT 39713 5415 18 psychologist psychologist NN 39713 5415 19 . . . 39713 5416 1 It -PRON- PRP 39713 5416 2 is be VBZ 39713 5416 3 the the DT 39713 5416 4 activity activity NN 39713 5416 5 in in IN 39713 5416 6 which which WDT 39713 5416 7 the the DT 39713 5416 8 human human JJ 39713 5416 9 mind mind NN 39713 5416 10 seems seem VBZ 39713 5416 11 to to TO 39713 5416 12 take take VB 39713 5416 13 least least JJS 39713 5416 14 from from IN 39713 5416 15 the the DT 39713 5416 16 outside outside JJ 39713 5416 17 world world NN 39713 5416 18 , , , 39713 5416 19 in in IN 39713 5416 20 which which WDT 39713 5416 21 it -PRON- PRP 39713 5416 22 acts act VBZ 39713 5416 23 or or CC 39713 5416 24 seems seem VBZ 39713 5416 25 to to TO 39713 5416 26 act act VB 39713 5416 27 only only RB 39713 5416 28 of of IN 39713 5416 29 itself -PRON- PRP 39713 5416 30 and and CC 39713 5416 31 on on IN 39713 5416 32 itself -PRON- PRP 39713 5416 33 , , , 39713 5416 34 so so IN 39713 5416 35 that that IN 39713 5416 36 in in IN 39713 5416 37 studying study VBG 39713 5416 38 the the DT 39713 5416 39 procedure procedure NN 39713 5416 40 of of IN 39713 5416 41 geometric geometric JJ 39713 5416 42 thought thought NN 39713 5416 43 we -PRON- PRP 39713 5416 44 may may MD 39713 5416 45 hope hope VB 39713 5416 46 to to TO 39713 5416 47 reach reach VB 39713 5416 48 what what WP 39713 5416 49 is be VBZ 39713 5416 50 most most RBS 39713 5416 51 essential essential JJ 39713 5416 52 in in IN 39713 5416 53 man man NN 39713 5416 54 's 's POS 39713 5416 55 mind mind NN 39713 5416 56 . . . 39713 5417 1 This this DT 39713 5417 2 has have VBZ 39713 5417 3 long long RB 39713 5417 4 been be VBN 39713 5417 5 appreciated appreciate VBN 39713 5417 6 , , , 39713 5417 7 and and CC 39713 5417 8 some some DT 39713 5417 9 time time NN 39713 5417 10 back back RB 39713 5417 11 the the DT 39713 5417 12 journal journal NN 39713 5417 13 called call VBN 39713 5417 14 _ _ NNP 39713 5417 15 L'enseignement L'enseignement NNP 39713 5417 16 mathématique mathématique NN 39713 5417 17 _ _ NNP 39713 5417 18 , , , 39713 5417 19 edited edit VBN 39713 5417 20 by by IN 39713 5417 21 Laisant Laisant NNP 39713 5417 22 and and CC 39713 5417 23 Fehr Fehr NNP 39713 5417 24 , , , 39713 5417 25 began begin VBD 39713 5417 26 an an DT 39713 5417 27 investigation investigation NN 39713 5417 28 of of IN 39713 5417 29 the the DT 39713 5417 30 mental mental JJ 39713 5417 31 habits habit NNS 39713 5417 32 and and CC 39713 5417 33 methods method NNS 39713 5417 34 of of IN 39713 5417 35 work work NN 39713 5417 36 of of IN 39713 5417 37 different different JJ 39713 5417 38 mathematicians mathematician NNS 39713 5417 39 . . . 39713 5418 1 I -PRON- PRP 39713 5418 2 had have VBD 39713 5418 3 finished finish VBN 39713 5418 4 the the DT 39713 5418 5 main main JJ 39713 5418 6 outlines outline NNS 39713 5418 7 of of IN 39713 5418 8 this this DT 39713 5418 9 article article NN 39713 5418 10 when when WRB 39713 5418 11 the the DT 39713 5418 12 results result NNS 39713 5418 13 of of IN 39713 5418 14 that that DT 39713 5418 15 inquiry inquiry NN 39713 5418 16 were be VBD 39713 5418 17 published publish VBN 39713 5418 18 , , , 39713 5418 19 so so CC 39713 5418 20 I -PRON- PRP 39713 5418 21 have have VBP 39713 5418 22 hardly hardly RB 39713 5418 23 been be VBN 39713 5418 24 able able JJ 39713 5418 25 to to TO 39713 5418 26 utilize utilize VB 39713 5418 27 them -PRON- PRP 39713 5418 28 and and CC 39713 5418 29 shall shall MD 39713 5418 30 confine confine VB 39713 5418 31 myself -PRON- PRP 39713 5418 32 to to IN 39713 5418 33 saying say VBG 39713 5418 34 that that IN 39713 5418 35 the the DT 39713 5418 36 majority majority NN 39713 5418 37 of of IN 39713 5418 38 witnesses witness NNS 39713 5418 39 confirm confirm VBP 39713 5418 40 my -PRON- PRP$ 39713 5418 41 conclusions conclusion NNS 39713 5418 42 ; ; : 39713 5418 43 I -PRON- PRP 39713 5418 44 do do VBP 39713 5418 45 not not RB 39713 5418 46 say say VB 39713 5418 47 all all DT 39713 5418 48 , , , 39713 5418 49 for for IN 39713 5418 50 when when WRB 39713 5418 51 the the DT 39713 5418 52 appeal appeal NN 39713 5418 53 is be VBZ 39713 5418 54 to to IN 39713 5418 55 universal universal JJ 39713 5418 56 suffrage suffrage JJ 39713 5418 57 unanimity unanimity NN 39713 5418 58 is be VBZ 39713 5418 59 not not RB 39713 5418 60 to to TO 39713 5418 61 be be VB 39713 5418 62 hoped hope VBN 39713 5418 63 . . . 39713 5419 1 A a DT 39713 5419 2 first first JJ 39713 5419 3 fact fact NN 39713 5419 4 should should MD 39713 5419 5 surprise surprise VB 39713 5419 6 us -PRON- PRP 39713 5419 7 , , , 39713 5419 8 or or CC 39713 5419 9 rather rather RB 39713 5419 10 would would MD 39713 5419 11 surprise surprise VB 39713 5419 12 us -PRON- PRP 39713 5419 13 if if IN 39713 5419 14 we -PRON- PRP 39713 5419 15 were be VBD 39713 5419 16 not not RB 39713 5419 17 so so RB 39713 5419 18 used used JJ 39713 5419 19 to to IN 39713 5419 20 it -PRON- PRP 39713 5419 21 . . . 39713 5420 1 How how WRB 39713 5420 2 does do VBZ 39713 5420 3 it -PRON- PRP 39713 5420 4 happen happen VB 39713 5420 5 there there EX 39713 5420 6 are be VBP 39713 5420 7 people people NNS 39713 5420 8 who who WP 39713 5420 9 do do VBP 39713 5420 10 not not RB 39713 5420 11 understand understand VB 39713 5420 12 mathematics mathematic NNS 39713 5420 13 ? ? . 39713 5421 1 If if IN 39713 5421 2 mathematics mathematic NNS 39713 5421 3 invokes invokes VBP 39713 5421 4 only only RB 39713 5421 5 the the DT 39713 5421 6 rules rule NNS 39713 5421 7 of of IN 39713 5421 8 logic logic NN 39713 5421 9 , , , 39713 5421 10 such such JJ 39713 5421 11 as as IN 39713 5421 12 are be VBP 39713 5421 13 accepted accept VBN 39713 5421 14 by by IN 39713 5421 15 all all DT 39713 5421 16 normal normal JJ 39713 5421 17 minds mind NNS 39713 5421 18 ; ; : 39713 5421 19 if if IN 39713 5421 20 its -PRON- PRP$ 39713 5421 21 evidence evidence NN 39713 5421 22 is be VBZ 39713 5421 23 based base VBN 39713 5421 24 on on IN 39713 5421 25 principles principle NNS 39713 5421 26 common common JJ 39713 5421 27 to to IN 39713 5421 28 all all DT 39713 5421 29 men man NNS 39713 5421 30 , , , 39713 5421 31 and and CC 39713 5421 32 that that IN 39713 5421 33 none none NN 39713 5421 34 could could MD 39713 5421 35 deny deny VB 39713 5421 36 without without IN 39713 5421 37 being be VBG 39713 5421 38 mad mad JJ 39713 5421 39 , , , 39713 5421 40 how how WRB 39713 5421 41 does do VBZ 39713 5421 42 it -PRON- PRP 39713 5421 43 come come VB 39713 5421 44 about about IN 39713 5421 45 that that DT 39713 5421 46 so so RB 39713 5421 47 many many JJ 39713 5421 48 persons person NNS 39713 5421 49 are be VBP 39713 5421 50 here here RB 39713 5421 51 refractory refractory JJ 39713 5421 52 ? ? . 39713 5422 1 That that IN 39713 5422 2 not not RB 39713 5422 3 every every DT 39713 5422 4 one one NN 39713 5422 5 can can MD 39713 5422 6 invent invent VB 39713 5422 7 is be VBZ 39713 5422 8 nowise nowise RB 39713 5422 9 mysterious mysterious JJ 39713 5422 10 . . . 39713 5423 1 That that IN 39713 5423 2 not not RB 39713 5423 3 every every DT 39713 5423 4 one one NN 39713 5423 5 can can MD 39713 5423 6 retain retain VB 39713 5423 7 a a DT 39713 5423 8 demonstration demonstration NN 39713 5423 9 once once RB 39713 5423 10 learned learn VBN 39713 5423 11 may may MD 39713 5423 12 also also RB 39713 5423 13 pass pass VB 39713 5423 14 . . . 39713 5424 1 But but CC 39713 5424 2 that that IN 39713 5424 3 not not RB 39713 5424 4 every every DT 39713 5424 5 one one NN 39713 5424 6 can can MD 39713 5424 7 understand understand VB 39713 5424 8 mathematical mathematical JJ 39713 5424 9 reasoning reasoning NN 39713 5424 10 when when WRB 39713 5424 11 explained explain VBD 39713 5424 12 appears appear VBZ 39713 5424 13 very very RB 39713 5424 14 surprising surprising JJ 39713 5424 15 when when WRB 39713 5424 16 we -PRON- PRP 39713 5424 17 think think VBP 39713 5424 18 of of IN 39713 5424 19 it -PRON- PRP 39713 5424 20 . . . 39713 5425 1 And and CC 39713 5425 2 yet yet RB 39713 5425 3 those those DT 39713 5425 4 who who WP 39713 5425 5 can can MD 39713 5425 6 follow follow VB 39713 5425 7 this this DT 39713 5425 8 reasoning reasoning NN 39713 5425 9 only only RB 39713 5425 10 with with IN 39713 5425 11 difficulty difficulty NN 39713 5425 12 are be VBP 39713 5425 13 in in IN 39713 5425 14 the the DT 39713 5425 15 majority majority NN 39713 5425 16 : : : 39713 5425 17 that that DT 39713 5425 18 is be VBZ 39713 5425 19 undeniable undeniable JJ 39713 5425 20 , , , 39713 5425 21 and and CC 39713 5425 22 will will MD 39713 5425 23 surely surely RB 39713 5425 24 not not RB 39713 5425 25 be be VB 39713 5425 26 gainsaid gainsaid JJ 39713 5425 27 by by IN 39713 5425 28 the the DT 39713 5425 29 experience experience NN 39713 5425 30 of of IN 39713 5425 31 secondary secondary JJ 39713 5425 32 - - HYPH 39713 5425 33 school school NN 39713 5425 34 teachers teacher NNS 39713 5425 35 . . . 39713 5426 1 And and CC 39713 5426 2 further further RB 39713 5426 3 : : : 39713 5426 4 how how WRB 39713 5426 5 is be VBZ 39713 5426 6 error error NN 39713 5426 7 possible possible JJ 39713 5426 8 in in IN 39713 5426 9 mathematics mathematic NNS 39713 5426 10 ? ? . 39713 5427 1 A a DT 39713 5427 2 sane sane JJ 39713 5427 3 mind mind NN 39713 5427 4 should should MD 39713 5427 5 not not RB 39713 5427 6 be be VB 39713 5427 7 guilty guilty JJ 39713 5427 8 of of IN 39713 5427 9 a a DT 39713 5427 10 logical logical JJ 39713 5427 11 fallacy fallacy NN 39713 5427 12 , , , 39713 5427 13 and and CC 39713 5427 14 yet yet RB 39713 5427 15 there there EX 39713 5427 16 are be VBP 39713 5427 17 very very RB 39713 5427 18 fine fine JJ 39713 5427 19 minds mind NNS 39713 5427 20 who who WP 39713 5427 21 do do VBP 39713 5427 22 not not RB 39713 5427 23 trip trip VB 39713 5427 24 in in IN 39713 5427 25 brief brief JJ 39713 5427 26 reasoning reasoning NN 39713 5427 27 such such JJ 39713 5427 28 as as IN 39713 5427 29 occurs occur VBZ 39713 5427 30 in in IN 39713 5427 31 the the DT 39713 5427 32 ordinary ordinary JJ 39713 5427 33 doings doing NNS 39713 5427 34 of of IN 39713 5427 35 life life NN 39713 5427 36 , , , 39713 5427 37 and and CC 39713 5427 38 who who WP 39713 5427 39 are be VBP 39713 5427 40 incapable incapable JJ 39713 5427 41 of of IN 39713 5427 42 following follow VBG 39713 5427 43 or or CC 39713 5427 44 repeating repeat VBG 39713 5427 45 without without IN 39713 5427 46 error error NN 39713 5427 47 the the DT 39713 5427 48 mathematical mathematical JJ 39713 5427 49 demonstrations demonstration NNS 39713 5427 50 which which WDT 39713 5427 51 are be VBP 39713 5427 52 longer long JJR 39713 5427 53 , , , 39713 5427 54 but but CC 39713 5427 55 which which WDT 39713 5427 56 after after IN 39713 5427 57 all all RB 39713 5427 58 are be VBP 39713 5427 59 only only RB 39713 5427 60 an an DT 39713 5427 61 accumulation accumulation NN 39713 5427 62 of of IN 39713 5427 63 brief brief JJ 39713 5427 64 reasonings reasoning NNS 39713 5427 65 wholly wholly RB 39713 5427 66 analogous analogous JJ 39713 5427 67 to to IN 39713 5427 68 those those DT 39713 5427 69 they -PRON- PRP 39713 5427 70 make make VBP 39713 5427 71 so so RB 39713 5427 72 easily easily RB 39713 5427 73 . . . 39713 5428 1 Need need VBP 39713 5428 2 we -PRON- PRP 39713 5428 3 add add VBP 39713 5428 4 that that IN 39713 5428 5 mathematicians mathematician NNS 39713 5428 6 themselves -PRON- PRP 39713 5428 7 are be VBP 39713 5428 8 not not RB 39713 5428 9 infallible infallible JJ 39713 5428 10 ? ? . 39713 5429 1 The the DT 39713 5429 2 answer answer NN 39713 5429 3 seems seem VBZ 39713 5429 4 to to IN 39713 5429 5 me -PRON- PRP 39713 5429 6 evident evident JJ 39713 5429 7 . . . 39713 5430 1 Imagine imagine VB 39713 5430 2 a a DT 39713 5430 3 long long JJ 39713 5430 4 series series NN 39713 5430 5 of of IN 39713 5430 6 syllogisms syllogism NNS 39713 5430 7 , , , 39713 5430 8 and and CC 39713 5430 9 that that IN 39713 5430 10 the the DT 39713 5430 11 conclusions conclusion NNS 39713 5430 12 of of IN 39713 5430 13 the the DT 39713 5430 14 first first JJ 39713 5430 15 serve serve NN 39713 5430 16 as as IN 39713 5430 17 premises premise NNS 39713 5430 18 of of IN 39713 5430 19 the the DT 39713 5430 20 following follow VBG 39713 5430 21 : : : 39713 5430 22 we -PRON- PRP 39713 5430 23 shall shall MD 39713 5430 24 be be VB 39713 5430 25 able able JJ 39713 5430 26 to to TO 39713 5430 27 catch catch VB 39713 5430 28 each each DT 39713 5430 29 of of IN 39713 5430 30 these these DT 39713 5430 31 syllogisms syllogism NNS 39713 5430 32 , , , 39713 5430 33 and and CC 39713 5430 34 it -PRON- PRP 39713 5430 35 is be VBZ 39713 5430 36 not not RB 39713 5430 37 in in IN 39713 5430 38 passing pass VBG 39713 5430 39 from from IN 39713 5430 40 premises premise NNS 39713 5430 41 to to IN 39713 5430 42 conclusion conclusion NN 39713 5430 43 that that IN 39713 5430 44 we -PRON- PRP 39713 5430 45 are be VBP 39713 5430 46 in in IN 39713 5430 47 danger danger NN 39713 5430 48 of of IN 39713 5430 49 deceiving deceive VBG 39713 5430 50 ourselves -PRON- PRP 39713 5430 51 . . . 39713 5431 1 But but CC 39713 5431 2 between between IN 39713 5431 3 the the DT 39713 5431 4 moment moment NN 39713 5431 5 in in IN 39713 5431 6 which which WDT 39713 5431 7 we -PRON- PRP 39713 5431 8 first first RB 39713 5431 9 meet meet VBP 39713 5431 10 a a DT 39713 5431 11 proposition proposition NN 39713 5431 12 as as IN 39713 5431 13 conclusion conclusion NN 39713 5431 14 of of IN 39713 5431 15 one one CD 39713 5431 16 syllogism syllogism NN 39713 5431 17 , , , 39713 5431 18 and and CC 39713 5431 19 that that IN 39713 5431 20 in in IN 39713 5431 21 which which WDT 39713 5431 22 we -PRON- PRP 39713 5431 23 reencounter reencounter VBP 39713 5431 24 it -PRON- PRP 39713 5431 25 as as IN 39713 5431 26 premise premise NN 39713 5431 27 of of IN 39713 5431 28 another another DT 39713 5431 29 syllogism syllogism NN 39713 5431 30 occasionally occasionally RB 39713 5431 31 some some DT 39713 5431 32 time time NN 39713 5431 33 will will MD 39713 5431 34 elapse elapse VB 39713 5431 35 , , , 39713 5431 36 several several JJ 39713 5431 37 links link NNS 39713 5431 38 of of IN 39713 5431 39 the the DT 39713 5431 40 chain chain NN 39713 5431 41 will will MD 39713 5431 42 have have VB 39713 5431 43 unrolled unroll VBN 39713 5431 44 ; ; : 39713 5431 45 so so CC 39713 5431 46 it -PRON- PRP 39713 5431 47 may may MD 39713 5431 48 happen happen VB 39713 5431 49 that that IN 39713 5431 50 we -PRON- PRP 39713 5431 51 have have VBP 39713 5431 52 forgotten forget VBN 39713 5431 53 it -PRON- PRP 39713 5431 54 , , , 39713 5431 55 or or CC 39713 5431 56 worse bad JJR 39713 5431 57 , , , 39713 5431 58 that that IN 39713 5431 59 we -PRON- PRP 39713 5431 60 have have VBP 39713 5431 61 forgotten forget VBN 39713 5431 62 its -PRON- PRP$ 39713 5431 63 meaning meaning NN 39713 5431 64 . . . 39713 5432 1 So so RB 39713 5432 2 it -PRON- PRP 39713 5432 3 may may MD 39713 5432 4 happen happen VB 39713 5432 5 that that IN 39713 5432 6 we -PRON- PRP 39713 5432 7 replace replace VBP 39713 5432 8 it -PRON- PRP 39713 5432 9 by by IN 39713 5432 10 a a DT 39713 5432 11 slightly slightly RB 39713 5432 12 different different JJ 39713 5432 13 proposition proposition NN 39713 5432 14 , , , 39713 5432 15 or or CC 39713 5432 16 that that IN 39713 5432 17 , , , 39713 5432 18 while while IN 39713 5432 19 retaining retain VBG 39713 5432 20 the the DT 39713 5432 21 same same JJ 39713 5432 22 enunciation enunciation NN 39713 5432 23 , , , 39713 5432 24 we -PRON- PRP 39713 5432 25 attribute attribute VBP 39713 5432 26 to to IN 39713 5432 27 it -PRON- PRP 39713 5432 28 a a DT 39713 5432 29 slightly slightly RB 39713 5432 30 different different JJ 39713 5432 31 meaning meaning NN 39713 5432 32 , , , 39713 5432 33 and and CC 39713 5432 34 thus thus RB 39713 5432 35 it -PRON- PRP 39713 5432 36 is be VBZ 39713 5432 37 that that IN 39713 5432 38 we -PRON- PRP 39713 5432 39 are be VBP 39713 5432 40 exposed expose VBN 39713 5432 41 to to IN 39713 5432 42 error error NN 39713 5432 43 . . . 39713 5433 1 Often often RB 39713 5433 2 the the DT 39713 5433 3 mathematician mathematician NN 39713 5433 4 uses use VBZ 39713 5433 5 a a DT 39713 5433 6 rule rule NN 39713 5433 7 . . . 39713 5434 1 Naturally naturally RB 39713 5434 2 he -PRON- PRP 39713 5434 3 begins begin VBZ 39713 5434 4 by by IN 39713 5434 5 demonstrating demonstrate VBG 39713 5434 6 this this DT 39713 5434 7 rule rule NN 39713 5434 8 ; ; : 39713 5434 9 and and CC 39713 5434 10 at at IN 39713 5434 11 the the DT 39713 5434 12 time time NN 39713 5434 13 when when WRB 39713 5434 14 this this DT 39713 5434 15 proof proof NN 39713 5434 16 is be VBZ 39713 5434 17 fresh fresh JJ 39713 5434 18 in in IN 39713 5434 19 his -PRON- PRP$ 39713 5434 20 memory memory NN 39713 5434 21 he -PRON- PRP 39713 5434 22 understands understand VBZ 39713 5434 23 perfectly perfectly RB 39713 5434 24 its -PRON- PRP$ 39713 5434 25 meaning meaning NN 39713 5434 26 and and CC 39713 5434 27 its -PRON- PRP$ 39713 5434 28 bearing bearing NN 39713 5434 29 , , , 39713 5434 30 and and CC 39713 5434 31 he -PRON- PRP 39713 5434 32 is be VBZ 39713 5434 33 in in IN 39713 5434 34 no no DT 39713 5434 35 danger danger NN 39713 5434 36 of of IN 39713 5434 37 changing change VBG 39713 5434 38 it -PRON- PRP 39713 5434 39 . . . 39713 5435 1 But but CC 39713 5435 2 subsequently subsequently RB 39713 5435 3 he -PRON- PRP 39713 5435 4 trusts trust VBZ 39713 5435 5 his -PRON- PRP$ 39713 5435 6 memory memory NN 39713 5435 7 and and CC 39713 5435 8 afterward afterward RB 39713 5435 9 only only RB 39713 5435 10 applies apply VBZ 39713 5435 11 it -PRON- PRP 39713 5435 12 in in IN 39713 5435 13 a a DT 39713 5435 14 mechanical mechanical JJ 39713 5435 15 way way NN 39713 5435 16 ; ; : 39713 5435 17 and and CC 39713 5435 18 then then RB 39713 5435 19 if if IN 39713 5435 20 his -PRON- PRP$ 39713 5435 21 memory memory NN 39713 5435 22 fails fail VBZ 39713 5435 23 him -PRON- PRP 39713 5435 24 , , , 39713 5435 25 he -PRON- PRP 39713 5435 26 may may MD 39713 5435 27 apply apply VB 39713 5435 28 it -PRON- PRP 39713 5435 29 all all DT 39713 5435 30 wrong wrong JJ 39713 5435 31 . . . 39713 5436 1 Thus thus RB 39713 5436 2 it -PRON- PRP 39713 5436 3 is be VBZ 39713 5436 4 , , , 39713 5436 5 to to TO 39713 5436 6 take take VB 39713 5436 7 a a DT 39713 5436 8 simple simple JJ 39713 5436 9 example example NN 39713 5436 10 , , , 39713 5436 11 that that IN 39713 5436 12 we -PRON- PRP 39713 5436 13 sometimes sometimes RB 39713 5436 14 make make VBP 39713 5436 15 slips slip NNS 39713 5436 16 in in IN 39713 5436 17 calculation calculation NN 39713 5436 18 because because IN 39713 5436 19 we -PRON- PRP 39713 5436 20 have have VBP 39713 5436 21 forgotten forget VBN 39713 5436 22 our -PRON- PRP$ 39713 5436 23 multiplication multiplication NN 39713 5436 24 table table NN 39713 5436 25 . . . 39713 5437 1 According accord VBG 39713 5437 2 to to IN 39713 5437 3 this this DT 39713 5437 4 , , , 39713 5437 5 the the DT 39713 5437 6 special special JJ 39713 5437 7 aptitude aptitude NN 39713 5437 8 for for IN 39713 5437 9 mathematics mathematic NNS 39713 5437 10 would would MD 39713 5437 11 be be VB 39713 5437 12 due due JJ 39713 5437 13 only only RB 39713 5437 14 to to IN 39713 5437 15 a a DT 39713 5437 16 very very RB 39713 5437 17 sure sure JJ 39713 5437 18 memory memory NN 39713 5437 19 or or CC 39713 5437 20 to to IN 39713 5437 21 a a DT 39713 5437 22 prodigious prodigious JJ 39713 5437 23 force force NN 39713 5437 24 of of IN 39713 5437 25 attention attention NN 39713 5437 26 . . . 39713 5438 1 It -PRON- PRP 39713 5438 2 would would MD 39713 5438 3 be be VB 39713 5438 4 a a DT 39713 5438 5 power power NN 39713 5438 6 like like IN 39713 5438 7 that that DT 39713 5438 8 of of IN 39713 5438 9 the the DT 39713 5438 10 whist whist NN 39713 5438 11 - - HYPH 39713 5438 12 player player NN 39713 5438 13 who who WP 39713 5438 14 remembers remember VBZ 39713 5438 15 the the DT 39713 5438 16 cards card NNS 39713 5438 17 played play VBD 39713 5438 18 ; ; : 39713 5438 19 or or CC 39713 5438 20 , , , 39713 5438 21 to to TO 39713 5438 22 go go VB 39713 5438 23 up up IN 39713 5438 24 a a DT 39713 5438 25 step step NN 39713 5438 26 , , , 39713 5438 27 like like IN 39713 5438 28 that that DT 39713 5438 29 of of IN 39713 5438 30 the the DT 39713 5438 31 chess chess NN 39713 5438 32 - - HYPH 39713 5438 33 player player NN 39713 5438 34 who who WP 39713 5438 35 can can MD 39713 5438 36 visualize visualize VB 39713 5438 37 a a DT 39713 5438 38 great great JJ 39713 5438 39 number number NN 39713 5438 40 of of IN 39713 5438 41 combinations combination NNS 39713 5438 42 and and CC 39713 5438 43 hold hold VB 39713 5438 44 them -PRON- PRP 39713 5438 45 in in IN 39713 5438 46 his -PRON- PRP$ 39713 5438 47 memory memory NN 39713 5438 48 . . . 39713 5439 1 Every every DT 39713 5439 2 good good JJ 39713 5439 3 mathematician mathematician NN 39713 5439 4 ought ought MD 39713 5439 5 to to TO 39713 5439 6 be be VB 39713 5439 7 a a DT 39713 5439 8 good good JJ 39713 5439 9 chess chess NN 39713 5439 10 - - HYPH 39713 5439 11 player player NN 39713 5439 12 , , , 39713 5439 13 and and CC 39713 5439 14 inversely inversely RB 39713 5439 15 ; ; : 39713 5439 16 likewise likewise RB 39713 5439 17 he -PRON- PRP 39713 5439 18 should should MD 39713 5439 19 be be VB 39713 5439 20 a a DT 39713 5439 21 good good JJ 39713 5439 22 computer computer NN 39713 5439 23 . . . 39713 5440 1 Of of RB 39713 5440 2 course course RB 39713 5440 3 that that WDT 39713 5440 4 sometimes sometimes RB 39713 5440 5 happens happen VBZ 39713 5440 6 ; ; : 39713 5440 7 thus thus RB 39713 5440 8 Gauss Gauss NNP 39713 5440 9 was be VBD 39713 5440 10 at at IN 39713 5440 11 the the DT 39713 5440 12 same same JJ 39713 5440 13 time time NN 39713 5440 14 a a DT 39713 5440 15 geometer geometer NN 39713 5440 16 of of IN 39713 5440 17 genius genius NN 39713 5440 18 and and CC 39713 5440 19 a a DT 39713 5440 20 very very RB 39713 5440 21 precocious precocious JJ 39713 5440 22 and and CC 39713 5440 23 accurate accurate JJ 39713 5440 24 computer computer NN 39713 5440 25 . . . 39713 5441 1 But but CC 39713 5441 2 there there EX 39713 5441 3 are be VBP 39713 5441 4 exceptions exception NNS 39713 5441 5 ; ; : 39713 5441 6 or or CC 39713 5441 7 rather rather RB 39713 5441 8 I -PRON- PRP 39713 5441 9 err err VBP 39713 5441 10 ; ; : 39713 5441 11 I -PRON- PRP 39713 5441 12 can can MD 39713 5441 13 not not RB 39713 5441 14 call call VB 39713 5441 15 them -PRON- PRP 39713 5441 16 exceptions exception NNS 39713 5441 17 without without IN 39713 5441 18 the the DT 39713 5441 19 exceptions exception NNS 39713 5441 20 being be VBG 39713 5441 21 more more JJR 39713 5441 22 than than IN 39713 5441 23 the the DT 39713 5441 24 rule rule NN 39713 5441 25 . . . 39713 5442 1 Gauss Gauss NNP 39713 5442 2 it -PRON- PRP 39713 5442 3 is be VBZ 39713 5442 4 , , , 39713 5442 5 on on IN 39713 5442 6 the the DT 39713 5442 7 contrary contrary NN 39713 5442 8 , , , 39713 5442 9 who who WP 39713 5442 10 was be VBD 39713 5442 11 an an DT 39713 5442 12 exception exception NN 39713 5442 13 . . . 39713 5443 1 As as IN 39713 5443 2 for for IN 39713 5443 3 myself -PRON- PRP 39713 5443 4 , , , 39713 5443 5 I -PRON- PRP 39713 5443 6 must must MD 39713 5443 7 confess confess VB 39713 5443 8 , , , 39713 5443 9 I -PRON- PRP 39713 5443 10 am be VBP 39713 5443 11 absolutely absolutely RB 39713 5443 12 incapable incapable JJ 39713 5443 13 even even RB 39713 5443 14 of of IN 39713 5443 15 adding add VBG 39713 5443 16 without without IN 39713 5443 17 mistakes mistake NNS 39713 5443 18 . . . 39713 5444 1 In in IN 39713 5444 2 the the DT 39713 5444 3 same same JJ 39713 5444 4 way way NN 39713 5444 5 I -PRON- PRP 39713 5444 6 should should MD 39713 5444 7 be be VB 39713 5444 8 but but CC 39713 5444 9 a a DT 39713 5444 10 poor poor JJ 39713 5444 11 chess chess NN 39713 5444 12 - - HYPH 39713 5444 13 player player NN 39713 5444 14 ; ; : 39713 5444 15 I -PRON- PRP 39713 5444 16 would would MD 39713 5444 17 perceive perceive VB 39713 5444 18 that that IN 39713 5444 19 by by IN 39713 5444 20 a a DT 39713 5444 21 certain certain JJ 39713 5444 22 play play NN 39713 5444 23 I -PRON- PRP 39713 5444 24 should should MD 39713 5444 25 expose expose VB 39713 5444 26 myself -PRON- PRP 39713 5444 27 to to IN 39713 5444 28 a a DT 39713 5444 29 certain certain JJ 39713 5444 30 danger danger NN 39713 5444 31 ; ; : 39713 5444 32 I -PRON- PRP 39713 5444 33 would would MD 39713 5444 34 pass pass VB 39713 5444 35 in in RP 39713 5444 36 review review NN 39713 5444 37 several several JJ 39713 5444 38 other other JJ 39713 5444 39 plays play NNS 39713 5444 40 , , , 39713 5444 41 rejecting reject VBG 39713 5444 42 them -PRON- PRP 39713 5444 43 for for IN 39713 5444 44 other other JJ 39713 5444 45 reasons reason NNS 39713 5444 46 , , , 39713 5444 47 and and CC 39713 5444 48 then then RB 39713 5444 49 finally finally RB 39713 5444 50 I -PRON- PRP 39713 5444 51 should should MD 39713 5444 52 make make VB 39713 5444 53 the the DT 39713 5444 54 move move NN 39713 5444 55 first first RB 39713 5444 56 examined examine VBN 39713 5444 57 , , , 39713 5444 58 having have VBG 39713 5444 59 meantime meantime RB 39713 5444 60 forgotten forget VBN 39713 5444 61 the the DT 39713 5444 62 danger danger NN 39713 5444 63 I -PRON- PRP 39713 5444 64 had have VBD 39713 5444 65 foreseen foresee VBN 39713 5444 66 . . . 39713 5445 1 In in IN 39713 5445 2 a a DT 39713 5445 3 word word NN 39713 5445 4 , , , 39713 5445 5 my -PRON- PRP$ 39713 5445 6 memory memory NN 39713 5445 7 is be VBZ 39713 5445 8 not not RB 39713 5445 9 bad bad JJ 39713 5445 10 , , , 39713 5445 11 but but CC 39713 5445 12 it -PRON- PRP 39713 5445 13 would would MD 39713 5445 14 be be VB 39713 5445 15 insufficient insufficient JJ 39713 5445 16 to to TO 39713 5445 17 make make VB 39713 5445 18 me -PRON- PRP 39713 5445 19 a a DT 39713 5445 20 good good JJ 39713 5445 21 chess chess NN 39713 5445 22 - - HYPH 39713 5445 23 player player NN 39713 5445 24 . . . 39713 5446 1 Why why WRB 39713 5446 2 then then RB 39713 5446 3 does do VBZ 39713 5446 4 it -PRON- PRP 39713 5446 5 not not RB 39713 5446 6 fail fail VB 39713 5446 7 me -PRON- PRP 39713 5446 8 in in IN 39713 5446 9 a a DT 39713 5446 10 difficult difficult JJ 39713 5446 11 piece piece NN 39713 5446 12 of of IN 39713 5446 13 mathematical mathematical JJ 39713 5446 14 reasoning reasoning NN 39713 5446 15 where where WRB 39713 5446 16 most most JJS 39713 5446 17 chess chess NN 39713 5446 18 - - HYPH 39713 5446 19 players player NNS 39713 5446 20 would would MD 39713 5446 21 lose lose VB 39713 5446 22 themselves -PRON- PRP 39713 5446 23 ? ? . 39713 5447 1 Evidently evidently RB 39713 5447 2 because because IN 39713 5447 3 it -PRON- PRP 39713 5447 4 is be VBZ 39713 5447 5 guided guide VBN 39713 5447 6 by by IN 39713 5447 7 the the DT 39713 5447 8 general general JJ 39713 5447 9 march march NNP 39713 5447 10 of of IN 39713 5447 11 the the DT 39713 5447 12 reasoning reasoning NN 39713 5447 13 . . . 39713 5448 1 A a DT 39713 5448 2 mathematical mathematical JJ 39713 5448 3 demonstration demonstration NN 39713 5448 4 is be VBZ 39713 5448 5 not not RB 39713 5448 6 a a DT 39713 5448 7 simple simple JJ 39713 5448 8 juxtaposition juxtaposition NN 39713 5448 9 of of IN 39713 5448 10 syllogisms syllogism NNS 39713 5448 11 , , , 39713 5448 12 it -PRON- PRP 39713 5448 13 is be VBZ 39713 5448 14 syllogisms syllogism NNS 39713 5448 15 _ _ NNP 39713 5448 16 placed place VBN 39713 5448 17 in in IN 39713 5448 18 a a DT 39713 5448 19 certain certain JJ 39713 5448 20 order order NN 39713 5448 21 _ _ NNP 39713 5448 22 , , , 39713 5448 23 and and CC 39713 5448 24 the the DT 39713 5448 25 order order NN 39713 5448 26 in in IN 39713 5448 27 which which WDT 39713 5448 28 these these DT 39713 5448 29 elements element NNS 39713 5448 30 are be VBP 39713 5448 31 placed place VBN 39713 5448 32 is be VBZ 39713 5448 33 much much RB 39713 5448 34 more more RBR 39713 5448 35 important important JJ 39713 5448 36 than than IN 39713 5448 37 the the DT 39713 5448 38 elements element NNS 39713 5448 39 themselves -PRON- PRP 39713 5448 40 . . . 39713 5449 1 If if IN 39713 5449 2 I -PRON- PRP 39713 5449 3 have have VBP 39713 5449 4 the the DT 39713 5449 5 feeling feeling NN 39713 5449 6 , , , 39713 5449 7 the the DT 39713 5449 8 intuition intuition NN 39713 5449 9 , , , 39713 5449 10 so so RB 39713 5449 11 to to TO 39713 5449 12 speak speak VB 39713 5449 13 , , , 39713 5449 14 of of IN 39713 5449 15 this this DT 39713 5449 16 order order NN 39713 5449 17 , , , 39713 5449 18 so so IN 39713 5449 19 as as IN 39713 5449 20 to to TO 39713 5449 21 perceive perceive VB 39713 5449 22 at at IN 39713 5449 23 a a DT 39713 5449 24 glance glance NN 39713 5449 25 the the DT 39713 5449 26 reasoning reasoning NN 39713 5449 27 as as IN 39713 5449 28 a a DT 39713 5449 29 whole whole NN 39713 5449 30 , , , 39713 5449 31 I -PRON- PRP 39713 5449 32 need need VBP 39713 5449 33 no no RB 39713 5449 34 longer longer RB 39713 5449 35 fear fear VB 39713 5449 36 lest lest IN 39713 5449 37 I -PRON- PRP 39713 5449 38 forget forget VBP 39713 5449 39 one one CD 39713 5449 40 of of IN 39713 5449 41 the the DT 39713 5449 42 elements element NNS 39713 5449 43 , , , 39713 5449 44 for for IN 39713 5449 45 each each DT 39713 5449 46 of of IN 39713 5449 47 them -PRON- PRP 39713 5449 48 will will MD 39713 5449 49 take take VB 39713 5449 50 its -PRON- PRP$ 39713 5449 51 allotted allotted JJ 39713 5449 52 place place NN 39713 5449 53 in in IN 39713 5449 54 the the DT 39713 5449 55 array array NN 39713 5449 56 , , , 39713 5449 57 and and CC 39713 5449 58 that that IN 39713 5449 59 without without IN 39713 5449 60 any any DT 39713 5449 61 effort effort NN 39713 5449 62 of of IN 39713 5449 63 memory memory NN 39713 5449 64 on on IN 39713 5449 65 my -PRON- PRP$ 39713 5449 66 part part NN 39713 5449 67 . . . 39713 5450 1 It -PRON- PRP 39713 5450 2 seems seem VBZ 39713 5450 3 to to IN 39713 5450 4 me -PRON- PRP 39713 5450 5 then then RB 39713 5450 6 , , , 39713 5450 7 in in IN 39713 5450 8 repeating repeat VBG 39713 5450 9 a a DT 39713 5450 10 reasoning reasoning NN 39713 5450 11 learned learn VBN 39713 5450 12 , , , 39713 5450 13 that that IN 39713 5450 14 I -PRON- PRP 39713 5450 15 could could MD 39713 5450 16 have have VB 39713 5450 17 invented invent VBN 39713 5450 18 it -PRON- PRP 39713 5450 19 . . . 39713 5451 1 This this DT 39713 5451 2 is be VBZ 39713 5451 3 often often RB 39713 5451 4 only only RB 39713 5451 5 an an DT 39713 5451 6 illusion illusion NN 39713 5451 7 ; ; : 39713 5451 8 but but CC 39713 5451 9 even even RB 39713 5451 10 then then RB 39713 5451 11 , , , 39713 5451 12 even even RB 39713 5451 13 if if IN 39713 5451 14 I -PRON- PRP 39713 5451 15 am be VBP 39713 5451 16 not not RB 39713 5451 17 so so RB 39713 5451 18 gifted gifted JJ 39713 5451 19 as as IN 39713 5451 20 to to TO 39713 5451 21 create create VB 39713 5451 22 it -PRON- PRP 39713 5451 23 by by IN 39713 5451 24 myself -PRON- PRP 39713 5451 25 , , , 39713 5451 26 I -PRON- PRP 39713 5451 27 myself -PRON- PRP 39713 5451 28 re re VBP 39713 5451 29 - - NN 39713 5451 30 invent invent VBP 39713 5451 31 it -PRON- PRP 39713 5451 32 in in RP 39713 5451 33 so so RB 39713 5451 34 far far RB 39713 5451 35 as as IN 39713 5451 36 I -PRON- PRP 39713 5451 37 repeat repeat VBP 39713 5451 38 it -PRON- PRP 39713 5451 39 . . . 39713 5452 1 We -PRON- PRP 39713 5452 2 know know VBP 39713 5452 3 that that IN 39713 5452 4 this this DT 39713 5452 5 feeling feeling NN 39713 5452 6 , , , 39713 5452 7 this this DT 39713 5452 8 intuition intuition NN 39713 5452 9 of of IN 39713 5452 10 mathematical mathematical JJ 39713 5452 11 order order NN 39713 5452 12 , , , 39713 5452 13 that that WDT 39713 5452 14 makes make VBZ 39713 5452 15 us -PRON- PRP 39713 5452 16 divine divine JJ 39713 5452 17 hidden hidden JJ 39713 5452 18 harmonies harmony NNS 39713 5452 19 and and CC 39713 5452 20 relations relation NNS 39713 5452 21 , , , 39713 5452 22 can can MD 39713 5452 23 not not RB 39713 5452 24 be be VB 39713 5452 25 possessed possess VBN 39713 5452 26 by by IN 39713 5452 27 every every DT 39713 5452 28 one one CD 39713 5452 29 . . . 39713 5453 1 Some some DT 39713 5453 2 will will MD 39713 5453 3 not not RB 39713 5453 4 have have VB 39713 5453 5 either either CC 39713 5453 6 this this DT 39713 5453 7 delicate delicate JJ 39713 5453 8 feeling feeling NN 39713 5453 9 so so RB 39713 5453 10 difficult difficult JJ 39713 5453 11 to to TO 39713 5453 12 define define VB 39713 5453 13 , , , 39713 5453 14 or or CC 39713 5453 15 a a DT 39713 5453 16 strength strength NN 39713 5453 17 of of IN 39713 5453 18 memory memory NN 39713 5453 19 and and CC 39713 5453 20 attention attention NN 39713 5453 21 beyond beyond IN 39713 5453 22 the the DT 39713 5453 23 ordinary ordinary JJ 39713 5453 24 , , , 39713 5453 25 and and CC 39713 5453 26 then then RB 39713 5453 27 they -PRON- PRP 39713 5453 28 will will MD 39713 5453 29 be be VB 39713 5453 30 absolutely absolutely RB 39713 5453 31 incapable incapable JJ 39713 5453 32 of of IN 39713 5453 33 understanding understand VBG 39713 5453 34 higher high JJR 39713 5453 35 mathematics mathematic NNS 39713 5453 36 . . . 39713 5454 1 Such such JJ 39713 5454 2 are be VBP 39713 5454 3 the the DT 39713 5454 4 majority majority NN 39713 5454 5 . . . 39713 5455 1 Others other NNS 39713 5455 2 will will MD 39713 5455 3 have have VB 39713 5455 4 this this DT 39713 5455 5 feeling feeling NN 39713 5455 6 only only RB 39713 5455 7 in in IN 39713 5455 8 a a DT 39713 5455 9 slight slight JJ 39713 5455 10 degree degree NN 39713 5455 11 , , , 39713 5455 12 but but CC 39713 5455 13 they -PRON- PRP 39713 5455 14 will will MD 39713 5455 15 be be VB 39713 5455 16 gifted gift VBN 39713 5455 17 with with IN 39713 5455 18 an an DT 39713 5455 19 uncommon uncommon JJ 39713 5455 20 memory memory NN 39713 5455 21 and and CC 39713 5455 22 a a DT 39713 5455 23 great great JJ 39713 5455 24 power power NN 39713 5455 25 of of IN 39713 5455 26 attention attention NN 39713 5455 27 . . . 39713 5456 1 They -PRON- PRP 39713 5456 2 will will MD 39713 5456 3 learn learn VB 39713 5456 4 by by IN 39713 5456 5 heart heart NN 39713 5456 6 the the DT 39713 5456 7 details detail NNS 39713 5456 8 one one CD 39713 5456 9 after after IN 39713 5456 10 another another DT 39713 5456 11 ; ; : 39713 5456 12 they -PRON- PRP 39713 5456 13 can can MD 39713 5456 14 understand understand VB 39713 5456 15 mathematics mathematic NNS 39713 5456 16 and and CC 39713 5456 17 sometimes sometimes RB 39713 5456 18 make make VB 39713 5456 19 applications application NNS 39713 5456 20 , , , 39713 5456 21 but but CC 39713 5456 22 they -PRON- PRP 39713 5456 23 can can MD 39713 5456 24 not not RB 39713 5456 25 create create VB 39713 5456 26 . . . 39713 5457 1 Others other NNS 39713 5457 2 , , , 39713 5457 3 finally finally RB 39713 5457 4 , , , 39713 5457 5 will will MD 39713 5457 6 possess possess VB 39713 5457 7 in in IN 39713 5457 8 a a DT 39713 5457 9 less less RBR 39713 5457 10 or or CC 39713 5457 11 greater great JJR 39713 5457 12 degree degree NN 39713 5457 13 the the DT 39713 5457 14 special special JJ 39713 5457 15 intuition intuition NN 39713 5457 16 referred refer VBN 39713 5457 17 to to IN 39713 5457 18 , , , 39713 5457 19 and and CC 39713 5457 20 then then RB 39713 5457 21 not not RB 39713 5457 22 only only RB 39713 5457 23 can can MD 39713 5457 24 they -PRON- PRP 39713 5457 25 understand understand VB 39713 5457 26 mathematics mathematic NNS 39713 5457 27 even even RB 39713 5457 28 if if IN 39713 5457 29 their -PRON- PRP$ 39713 5457 30 memory memory NN 39713 5457 31 is be VBZ 39713 5457 32 nothing nothing NN 39713 5457 33 extraordinary extraordinary JJ 39713 5457 34 , , , 39713 5457 35 but but CC 39713 5457 36 they -PRON- PRP 39713 5457 37 may may MD 39713 5457 38 become become VB 39713 5457 39 creators creator NNS 39713 5457 40 and and CC 39713 5457 41 try try VBP 39713 5457 42 to to TO 39713 5457 43 invent invent VB 39713 5457 44 with with IN 39713 5457 45 more more JJR 39713 5457 46 or or CC 39713 5457 47 less less JJR 39713 5457 48 success success NN 39713 5457 49 according accord VBG 39713 5457 50 as as IN 39713 5457 51 this this DT 39713 5457 52 intuition intuition NN 39713 5457 53 is be VBZ 39713 5457 54 more more RBR 39713 5457 55 or or CC 39713 5457 56 less less RBR 39713 5457 57 developed developed JJ 39713 5457 58 in in IN 39713 5457 59 them -PRON- PRP 39713 5457 60 . . . 39713 5458 1 In in IN 39713 5458 2 fact fact NN 39713 5458 3 , , , 39713 5458 4 what what WP 39713 5458 5 is be VBZ 39713 5458 6 mathematical mathematical JJ 39713 5458 7 creation creation NN 39713 5458 8 ? ? . 39713 5459 1 It -PRON- PRP 39713 5459 2 does do VBZ 39713 5459 3 not not RB 39713 5459 4 consist consist VB 39713 5459 5 in in IN 39713 5459 6 making make VBG 39713 5459 7 new new JJ 39713 5459 8 combinations combination NNS 39713 5459 9 with with IN 39713 5459 10 mathematical mathematical JJ 39713 5459 11 entities entity NNS 39713 5459 12 already already RB 39713 5459 13 known know VBN 39713 5459 14 . . . 39713 5460 1 Any any DT 39713 5460 2 one one PRP 39713 5460 3 could could MD 39713 5460 4 do do VB 39713 5460 5 that that DT 39713 5460 6 , , , 39713 5460 7 but but CC 39713 5460 8 the the DT 39713 5460 9 combinations combination NNS 39713 5460 10 so so RB 39713 5460 11 made make VBN 39713 5460 12 would would MD 39713 5460 13 be be VB 39713 5460 14 infinite infinite JJ 39713 5460 15 in in IN 39713 5460 16 number number NN 39713 5460 17 and and CC 39713 5460 18 most most JJS 39713 5460 19 of of IN 39713 5460 20 them -PRON- PRP 39713 5460 21 absolutely absolutely RB 39713 5460 22 without without IN 39713 5460 23 interest interest NN 39713 5460 24 . . . 39713 5461 1 To to TO 39713 5461 2 create create VB 39713 5461 3 consists consist NNS 39713 5461 4 precisely precisely RB 39713 5461 5 in in IN 39713 5461 6 not not RB 39713 5461 7 making make VBG 39713 5461 8 useless useless JJ 39713 5461 9 combinations combination NNS 39713 5461 10 and and CC 39713 5461 11 in in IN 39713 5461 12 making make VBG 39713 5461 13 those those DT 39713 5461 14 which which WDT 39713 5461 15 are be VBP 39713 5461 16 useful useful JJ 39713 5461 17 and and CC 39713 5461 18 which which WDT 39713 5461 19 are be VBP 39713 5461 20 only only RB 39713 5461 21 a a DT 39713 5461 22 small small JJ 39713 5461 23 minority minority NN 39713 5461 24 . . . 39713 5462 1 Invention invention NN 39713 5462 2 is be VBZ 39713 5462 3 discernment discernment NN 39713 5462 4 , , , 39713 5462 5 choice choice NN 39713 5462 6 . . . 39713 5463 1 How how WRB 39713 5463 2 to to TO 39713 5463 3 make make VB 39713 5463 4 this this DT 39713 5463 5 choice choice NN 39713 5463 6 I -PRON- PRP 39713 5463 7 have have VBP 39713 5463 8 before before RB 39713 5463 9 explained explain VBN 39713 5463 10 ; ; : 39713 5463 11 the the DT 39713 5463 12 mathematical mathematical JJ 39713 5463 13 facts fact NNS 39713 5463 14 worthy worthy JJ 39713 5463 15 of of IN 39713 5463 16 being be VBG 39713 5463 17 studied study VBN 39713 5463 18 are be VBP 39713 5463 19 those those DT 39713 5463 20 which which WDT 39713 5463 21 , , , 39713 5463 22 by by IN 39713 5463 23 their -PRON- PRP$ 39713 5463 24 analogy analogy NN 39713 5463 25 with with IN 39713 5463 26 other other JJ 39713 5463 27 facts fact NNS 39713 5463 28 , , , 39713 5463 29 are be VBP 39713 5463 30 capable capable JJ 39713 5463 31 of of IN 39713 5463 32 leading lead VBG 39713 5463 33 us -PRON- PRP 39713 5463 34 to to IN 39713 5463 35 the the DT 39713 5463 36 knowledge knowledge NN 39713 5463 37 of of IN 39713 5463 38 a a DT 39713 5463 39 mathematical mathematical JJ 39713 5463 40 law law NN 39713 5463 41 just just RB 39713 5463 42 as as IN 39713 5463 43 experimental experimental JJ 39713 5463 44 facts fact NNS 39713 5463 45 lead lead VBP 39713 5463 46 us -PRON- PRP 39713 5463 47 to to IN 39713 5463 48 the the DT 39713 5463 49 knowledge knowledge NN 39713 5463 50 of of IN 39713 5463 51 a a DT 39713 5463 52 physical physical JJ 39713 5463 53 law law NN 39713 5463 54 . . . 39713 5464 1 They -PRON- PRP 39713 5464 2 are be VBP 39713 5464 3 those those DT 39713 5464 4 which which WDT 39713 5464 5 reveal reveal VBP 39713 5464 6 to to IN 39713 5464 7 us -PRON- PRP 39713 5464 8 unsuspected unsuspected JJ 39713 5464 9 kinship kinship NN 39713 5464 10 between between IN 39713 5464 11 other other JJ 39713 5464 12 facts fact NNS 39713 5464 13 , , , 39713 5464 14 long long RB 39713 5464 15 known know VBN 39713 5464 16 , , , 39713 5464 17 but but CC 39713 5464 18 wrongly wrongly RB 39713 5464 19 believed believe VBN 39713 5464 20 to to TO 39713 5464 21 be be VB 39713 5464 22 strangers stranger NNS 39713 5464 23 to to IN 39713 5464 24 one one CD 39713 5464 25 another another DT 39713 5464 26 . . . 39713 5465 1 Among among IN 39713 5465 2 chosen choose VBN 39713 5465 3 combinations combination NNS 39713 5465 4 the the DT 39713 5465 5 most most RBS 39713 5465 6 fertile fertile JJ 39713 5465 7 will will MD 39713 5465 8 often often RB 39713 5465 9 be be VB 39713 5465 10 those those DT 39713 5465 11 formed form VBN 39713 5465 12 of of IN 39713 5465 13 elements element NNS 39713 5465 14 drawn draw VBN 39713 5465 15 from from IN 39713 5465 16 domains domain NNS 39713 5465 17 which which WDT 39713 5465 18 are be VBP 39713 5465 19 far far RB 39713 5465 20 apart apart RB 39713 5465 21 . . . 39713 5466 1 Not not RB 39713 5466 2 that that IN 39713 5466 3 I -PRON- PRP 39713 5466 4 mean mean VBP 39713 5466 5 as as IN 39713 5466 6 sufficing suffice VBG 39713 5466 7 for for IN 39713 5466 8 invention invention NN 39713 5466 9 the the DT 39713 5466 10 bringing bringing NN 39713 5466 11 together together RB 39713 5466 12 of of IN 39713 5466 13 objects object NNS 39713 5466 14 as as RB 39713 5466 15 disparate disparate JJ 39713 5466 16 as as IN 39713 5466 17 possible possible JJ 39713 5466 18 ; ; : 39713 5466 19 most most JJS 39713 5466 20 combinations combination NNS 39713 5466 21 so so RB 39713 5466 22 formed form VBN 39713 5466 23 would would MD 39713 5466 24 be be VB 39713 5466 25 entirely entirely RB 39713 5466 26 sterile sterile JJ 39713 5466 27 . . . 39713 5467 1 But but CC 39713 5467 2 certain certain JJ 39713 5467 3 among among IN 39713 5467 4 them -PRON- PRP 39713 5467 5 , , , 39713 5467 6 very very RB 39713 5467 7 rare rare JJ 39713 5467 8 , , , 39713 5467 9 are be VBP 39713 5467 10 the the DT 39713 5467 11 most most RBS 39713 5467 12 fruitful fruitful JJ 39713 5467 13 of of IN 39713 5467 14 all all DT 39713 5467 15 . . . 39713 5468 1 To to TO 39713 5468 2 invent invent VB 39713 5468 3 , , , 39713 5468 4 I -PRON- PRP 39713 5468 5 have have VBP 39713 5468 6 said say VBD 39713 5468 7 , , , 39713 5468 8 is be VBZ 39713 5468 9 to to TO 39713 5468 10 choose choose VB 39713 5468 11 ; ; : 39713 5468 12 but but CC 39713 5468 13 the the DT 39713 5468 14 word word NN 39713 5468 15 is be VBZ 39713 5468 16 perhaps perhaps RB 39713 5468 17 not not RB 39713 5468 18 wholly wholly RB 39713 5468 19 exact exact JJ 39713 5468 20 . . . 39713 5469 1 It -PRON- PRP 39713 5469 2 makes make VBZ 39713 5469 3 one one CD 39713 5469 4 think think VB 39713 5469 5 of of IN 39713 5469 6 a a DT 39713 5469 7 purchaser purchaser NN 39713 5469 8 before before IN 39713 5469 9 whom whom WP 39713 5469 10 are be VBP 39713 5469 11 displayed display VBN 39713 5469 12 a a DT 39713 5469 13 large large JJ 39713 5469 14 number number NN 39713 5469 15 of of IN 39713 5469 16 samples sample NNS 39713 5469 17 , , , 39713 5469 18 and and CC 39713 5469 19 who who WP 39713 5469 20 examines examine VBZ 39713 5469 21 them -PRON- PRP 39713 5469 22 , , , 39713 5469 23 one one CD 39713 5469 24 after after IN 39713 5469 25 the the DT 39713 5469 26 other other JJ 39713 5469 27 , , , 39713 5469 28 to to TO 39713 5469 29 make make VB 39713 5469 30 a a DT 39713 5469 31 choice choice NN 39713 5469 32 . . . 39713 5470 1 Here here RB 39713 5470 2 the the DT 39713 5470 3 samples sample NNS 39713 5470 4 would would MD 39713 5470 5 be be VB 39713 5470 6 so so RB 39713 5470 7 numerous numerous JJ 39713 5470 8 that that IN 39713 5470 9 a a DT 39713 5470 10 whole whole JJ 39713 5470 11 lifetime lifetime NN 39713 5470 12 would would MD 39713 5470 13 not not RB 39713 5470 14 suffice suffice VB 39713 5470 15 to to TO 39713 5470 16 examine examine VB 39713 5470 17 them -PRON- PRP 39713 5470 18 . . . 39713 5471 1 This this DT 39713 5471 2 is be VBZ 39713 5471 3 not not RB 39713 5471 4 the the DT 39713 5471 5 actual actual JJ 39713 5471 6 state state NN 39713 5471 7 of of IN 39713 5471 8 things thing NNS 39713 5471 9 . . . 39713 5472 1 The the DT 39713 5472 2 sterile sterile JJ 39713 5472 3 combinations combination NNS 39713 5472 4 do do VBP 39713 5472 5 not not RB 39713 5472 6 even even RB 39713 5472 7 present present VB 39713 5472 8 themselves -PRON- PRP 39713 5472 9 to to IN 39713 5472 10 the the DT 39713 5472 11 mind mind NN 39713 5472 12 of of IN 39713 5472 13 the the DT 39713 5472 14 inventor inventor NN 39713 5472 15 . . . 39713 5473 1 Never never RB 39713 5473 2 in in IN 39713 5473 3 the the DT 39713 5473 4 field field NN 39713 5473 5 of of IN 39713 5473 6 his -PRON- PRP$ 39713 5473 7 consciousness consciousness NN 39713 5473 8 do do VBP 39713 5473 9 combinations combination NNS 39713 5473 10 appear appear VB 39713 5473 11 that that DT 39713 5473 12 are be VBP 39713 5473 13 not not RB 39713 5473 14 really really RB 39713 5473 15 useful useful JJ 39713 5473 16 , , , 39713 5473 17 except except IN 39713 5473 18 some some DT 39713 5473 19 that that WDT 39713 5473 20 he -PRON- PRP 39713 5473 21 rejects reject VBZ 39713 5473 22 but but CC 39713 5473 23 which which WDT 39713 5473 24 have have VBP 39713 5473 25 to to TO 39713 5473 26 some some DT 39713 5473 27 extent extent NN 39713 5473 28 the the DT 39713 5473 29 characteristics characteristic NNS 39713 5473 30 of of IN 39713 5473 31 useful useful JJ 39713 5473 32 combinations combination NNS 39713 5473 33 . . . 39713 5474 1 All all DT 39713 5474 2 goes go VBZ 39713 5474 3 on on RP 39713 5474 4 as as IN 39713 5474 5 if if IN 39713 5474 6 the the DT 39713 5474 7 inventor inventor NN 39713 5474 8 were be VBD 39713 5474 9 an an DT 39713 5474 10 examiner examiner NN 39713 5474 11 for for IN 39713 5474 12 the the DT 39713 5474 13 second second JJ 39713 5474 14 degree degree NN 39713 5474 15 who who WP 39713 5474 16 would would MD 39713 5474 17 only only RB 39713 5474 18 have have VB 39713 5474 19 to to TO 39713 5474 20 question question VB 39713 5474 21 the the DT 39713 5474 22 candidates candidate NNS 39713 5474 23 who who WP 39713 5474 24 had have VBD 39713 5474 25 passed pass VBN 39713 5474 26 a a DT 39713 5474 27 previous previous JJ 39713 5474 28 examination examination NN 39713 5474 29 . . . 39713 5475 1 But but CC 39713 5475 2 what what WP 39713 5475 3 I -PRON- PRP 39713 5475 4 have have VBP 39713 5475 5 hitherto hitherto VBN 39713 5475 6 said say VBN 39713 5475 7 is be VBZ 39713 5475 8 what what WP 39713 5475 9 may may MD 39713 5475 10 be be VB 39713 5475 11 observed observe VBN 39713 5475 12 or or CC 39713 5475 13 inferred infer VBN 39713 5475 14 in in IN 39713 5475 15 reading read VBG 39713 5475 16 the the DT 39713 5475 17 writings writing NNS 39713 5475 18 of of IN 39713 5475 19 the the DT 39713 5475 20 geometers geometer NNS 39713 5475 21 , , , 39713 5475 22 reading read VBG 39713 5475 23 reflectively reflectively RB 39713 5475 24 . . . 39713 5476 1 It -PRON- PRP 39713 5476 2 is be VBZ 39713 5476 3 time time NN 39713 5476 4 to to TO 39713 5476 5 penetrate penetrate VB 39713 5476 6 deeper deeply RBR 39713 5476 7 and and CC 39713 5476 8 to to TO 39713 5476 9 see see VB 39713 5476 10 what what WP 39713 5476 11 goes go VBZ 39713 5476 12 on on RP 39713 5476 13 in in IN 39713 5476 14 the the DT 39713 5476 15 very very JJ 39713 5476 16 soul soul NN 39713 5476 17 of of IN 39713 5476 18 the the DT 39713 5476 19 mathematician mathematician NN 39713 5476 20 . . . 39713 5477 1 For for IN 39713 5477 2 this this DT 39713 5477 3 , , , 39713 5477 4 I -PRON- PRP 39713 5477 5 believe believe VBP 39713 5477 6 , , , 39713 5477 7 I -PRON- PRP 39713 5477 8 can can MD 39713 5477 9 do do VB 39713 5477 10 best well RBS 39713 5477 11 by by IN 39713 5477 12 recalling recall VBG 39713 5477 13 memories memory NNS 39713 5477 14 of of IN 39713 5477 15 my -PRON- PRP$ 39713 5477 16 own own JJ 39713 5477 17 . . . 39713 5478 1 But but CC 39713 5478 2 I -PRON- PRP 39713 5478 3 shall shall MD 39713 5478 4 limit limit VB 39713 5478 5 myself -PRON- PRP 39713 5478 6 to to IN 39713 5478 7 telling tell VBG 39713 5478 8 how how WRB 39713 5478 9 I -PRON- PRP 39713 5478 10 wrote write VBD 39713 5478 11 my -PRON- PRP$ 39713 5478 12 first first JJ 39713 5478 13 memoir memoir NN 39713 5478 14 on on IN 39713 5478 15 Fuchsian Fuchsian NNP 39713 5478 16 functions function NNS 39713 5478 17 . . . 39713 5479 1 I -PRON- PRP 39713 5479 2 beg beg VBP 39713 5479 3 the the DT 39713 5479 4 reader reader NN 39713 5479 5 's 's POS 39713 5479 6 pardon pardon NN 39713 5479 7 ; ; : 39713 5479 8 I -PRON- PRP 39713 5479 9 am be VBP 39713 5479 10 about about JJ 39713 5479 11 to to TO 39713 5479 12 use use VB 39713 5479 13 some some DT 39713 5479 14 technical technical JJ 39713 5479 15 expressions expression NNS 39713 5479 16 , , , 39713 5479 17 but but CC 39713 5479 18 they -PRON- PRP 39713 5479 19 need nee MD 39713 5479 20 not not RB 39713 5479 21 frighten frighten VB 39713 5479 22 him -PRON- PRP 39713 5479 23 , , , 39713 5479 24 for for IN 39713 5479 25 he -PRON- PRP 39713 5479 26 is be VBZ 39713 5479 27 not not RB 39713 5479 28 obliged oblige VBN 39713 5479 29 to to TO 39713 5479 30 understand understand VB 39713 5479 31 them -PRON- PRP 39713 5479 32 . . . 39713 5480 1 I -PRON- PRP 39713 5480 2 shall shall MD 39713 5480 3 say say VB 39713 5480 4 , , , 39713 5480 5 for for IN 39713 5480 6 example example NN 39713 5480 7 , , , 39713 5480 8 that that IN 39713 5480 9 I -PRON- PRP 39713 5480 10 have have VBP 39713 5480 11 found find VBN 39713 5480 12 the the DT 39713 5480 13 demonstration demonstration NN 39713 5480 14 of of IN 39713 5480 15 such such PDT 39713 5480 16 a a DT 39713 5480 17 theorem theorem NN 39713 5480 18 under under IN 39713 5480 19 such such JJ 39713 5480 20 circumstances circumstance NNS 39713 5480 21 . . . 39713 5481 1 This this DT 39713 5481 2 theorem theorem NN 39713 5481 3 will will MD 39713 5481 4 have have VB 39713 5481 5 a a DT 39713 5481 6 barbarous barbarous JJ 39713 5481 7 name name NN 39713 5481 8 , , , 39713 5481 9 unfamiliar unfamiliar JJ 39713 5481 10 to to IN 39713 5481 11 many many JJ 39713 5481 12 , , , 39713 5481 13 but but CC 39713 5481 14 that that DT 39713 5481 15 is be VBZ 39713 5481 16 unimportant unimportant JJ 39713 5481 17 ; ; : 39713 5481 18 what what WP 39713 5481 19 is be VBZ 39713 5481 20 of of IN 39713 5481 21 interest interest NN 39713 5481 22 for for IN 39713 5481 23 the the DT 39713 5481 24 psychologist psychologist NN 39713 5481 25 is be VBZ 39713 5481 26 not not RB 39713 5481 27 the the DT 39713 5481 28 theorem theorem NN 39713 5481 29 but but CC 39713 5481 30 the the DT 39713 5481 31 circumstances circumstance NNS 39713 5481 32 . . . 39713 5482 1 For for IN 39713 5482 2 fifteen fifteen CD 39713 5482 3 days day NNS 39713 5482 4 I -PRON- PRP 39713 5482 5 strove strove VBP 39713 5482 6 to to TO 39713 5482 7 prove prove VB 39713 5482 8 that that IN 39713 5482 9 there there EX 39713 5482 10 could could MD 39713 5482 11 not not RB 39713 5482 12 be be VB 39713 5482 13 any any DT 39713 5482 14 functions function NNS 39713 5482 15 like like IN 39713 5482 16 those those DT 39713 5482 17 I -PRON- PRP 39713 5482 18 have have VBP 39713 5482 19 since since IN 39713 5482 20 called call VBN 39713 5482 21 Fuchsian fuchsian JJ 39713 5482 22 functions function NNS 39713 5482 23 . . . 39713 5483 1 I -PRON- PRP 39713 5483 2 was be VBD 39713 5483 3 then then RB 39713 5483 4 very very RB 39713 5483 5 ignorant ignorant JJ 39713 5483 6 ; ; : 39713 5483 7 every every DT 39713 5483 8 day day NN 39713 5483 9 I -PRON- PRP 39713 5483 10 seated seat VBD 39713 5483 11 myself -PRON- PRP 39713 5483 12 at at IN 39713 5483 13 my -PRON- PRP$ 39713 5483 14 work work NN 39713 5483 15 table table NN 39713 5483 16 , , , 39713 5483 17 stayed stay VBD 39713 5483 18 an an DT 39713 5483 19 hour hour NN 39713 5483 20 or or CC 39713 5483 21 two two CD 39713 5483 22 , , , 39713 5483 23 tried try VBD 39713 5483 24 a a DT 39713 5483 25 great great JJ 39713 5483 26 number number NN 39713 5483 27 of of IN 39713 5483 28 combinations combination NNS 39713 5483 29 and and CC 39713 5483 30 reached reach VBD 39713 5483 31 no no DT 39713 5483 32 results result NNS 39713 5483 33 . . . 39713 5484 1 One one CD 39713 5484 2 evening evening NN 39713 5484 3 , , , 39713 5484 4 contrary contrary JJ 39713 5484 5 to to IN 39713 5484 6 my -PRON- PRP$ 39713 5484 7 custom custom NN 39713 5484 8 , , , 39713 5484 9 I -PRON- PRP 39713 5484 10 drank drink VBD 39713 5484 11 black black JJ 39713 5484 12 coffee coffee NN 39713 5484 13 and and CC 39713 5484 14 could could MD 39713 5484 15 not not RB 39713 5484 16 sleep sleep VB 39713 5484 17 . . . 39713 5485 1 Ideas idea NNS 39713 5485 2 rose rise VBD 39713 5485 3 in in IN 39713 5485 4 crowds crowd NNS 39713 5485 5 ; ; : 39713 5485 6 I -PRON- PRP 39713 5485 7 felt feel VBD 39713 5485 8 them -PRON- PRP 39713 5485 9 collide collide VB 39713 5485 10 until until IN 39713 5485 11 pairs pair NNS 39713 5485 12 interlocked interlock VBD 39713 5485 13 , , , 39713 5485 14 so so RB 39713 5485 15 to to TO 39713 5485 16 speak speak VB 39713 5485 17 , , , 39713 5485 18 making make VBG 39713 5485 19 a a DT 39713 5485 20 stable stable JJ 39713 5485 21 combination combination NN 39713 5485 22 . . . 39713 5486 1 By by IN 39713 5486 2 the the DT 39713 5486 3 next next JJ 39713 5486 4 morning morning NN 39713 5486 5 I -PRON- PRP 39713 5486 6 had have VBD 39713 5486 7 established establish VBN 39713 5486 8 the the DT 39713 5486 9 existence existence NN 39713 5486 10 of of IN 39713 5486 11 a a DT 39713 5486 12 class class NN 39713 5486 13 of of IN 39713 5486 14 Fuchsian fuchsian JJ 39713 5486 15 functions function NNS 39713 5486 16 , , , 39713 5486 17 those those DT 39713 5486 18 which which WDT 39713 5486 19 come come VBP 39713 5486 20 from from IN 39713 5486 21 the the DT 39713 5486 22 hypergeometric hypergeometric NN 39713 5486 23 series series NN 39713 5486 24 ; ; : 39713 5486 25 I -PRON- PRP 39713 5486 26 had have VBD 39713 5486 27 only only RB 39713 5486 28 to to TO 39713 5486 29 write write VB 39713 5486 30 out out RP 39713 5486 31 the the DT 39713 5486 32 results result NNS 39713 5486 33 , , , 39713 5486 34 which which WDT 39713 5486 35 took take VBD 39713 5486 36 but but CC 39713 5486 37 a a DT 39713 5486 38 few few JJ 39713 5486 39 hours hour NNS 39713 5486 40 . . . 39713 5487 1 Then then RB 39713 5487 2 I -PRON- PRP 39713 5487 3 wanted want VBD 39713 5487 4 to to TO 39713 5487 5 represent represent VB 39713 5487 6 these these DT 39713 5487 7 functions function NNS 39713 5487 8 by by IN 39713 5487 9 the the DT 39713 5487 10 quotient quotient NN 39713 5487 11 of of IN 39713 5487 12 two two CD 39713 5487 13 series series NN 39713 5487 14 ; ; : 39713 5487 15 this this DT 39713 5487 16 idea idea NN 39713 5487 17 was be VBD 39713 5487 18 perfectly perfectly RB 39713 5487 19 conscious conscious JJ 39713 5487 20 and and CC 39713 5487 21 deliberate deliberate JJ 39713 5487 22 , , , 39713 5487 23 the the DT 39713 5487 24 analogy analogy NN 39713 5487 25 with with IN 39713 5487 26 elliptic elliptic JJ 39713 5487 27 functions function NNS 39713 5487 28 guided guide VBD 39713 5487 29 me -PRON- PRP 39713 5487 30 . . . 39713 5488 1 I -PRON- PRP 39713 5488 2 asked ask VBD 39713 5488 3 myself -PRON- PRP 39713 5488 4 what what WP 39713 5488 5 properties property NNS 39713 5488 6 these these DT 39713 5488 7 series series NN 39713 5488 8 must must MD 39713 5488 9 have have VB 39713 5488 10 if if IN 39713 5488 11 they -PRON- PRP 39713 5488 12 existed exist VBD 39713 5488 13 , , , 39713 5488 14 and and CC 39713 5488 15 I -PRON- PRP 39713 5488 16 succeeded succeed VBD 39713 5488 17 without without IN 39713 5488 18 difficulty difficulty NN 39713 5488 19 in in IN 39713 5488 20 forming form VBG 39713 5488 21 the the DT 39713 5488 22 series series NN 39713 5488 23 I -PRON- PRP 39713 5488 24 have have VBP 39713 5488 25 called call VBN 39713 5488 26 theta theta JJ 39713 5488 27 - - HYPH 39713 5488 28 Fuchsian Fuchsian NNP 39713 5488 29 . . . 39713 5489 1 Just just RB 39713 5489 2 at at IN 39713 5489 3 this this DT 39713 5489 4 time time NN 39713 5489 5 I -PRON- PRP 39713 5489 6 left leave VBD 39713 5489 7 Caen Caen NNP 39713 5489 8 , , , 39713 5489 9 where where WRB 39713 5489 10 I -PRON- PRP 39713 5489 11 was be VBD 39713 5489 12 then then RB 39713 5489 13 living live VBG 39713 5489 14 , , , 39713 5489 15 to to TO 39713 5489 16 go go VB 39713 5489 17 on on IN 39713 5489 18 a a DT 39713 5489 19 geologic geologic JJ 39713 5489 20 excursion excursion NN 39713 5489 21 under under IN 39713 5489 22 the the DT 39713 5489 23 auspices auspex NNS 39713 5489 24 of of IN 39713 5489 25 the the DT 39713 5489 26 school school NNP 39713 5489 27 of of IN 39713 5489 28 mines mine NNS 39713 5489 29 . . . 39713 5490 1 The the DT 39713 5490 2 changes change NNS 39713 5490 3 of of IN 39713 5490 4 travel travel NN 39713 5490 5 made make VBD 39713 5490 6 me -PRON- PRP 39713 5490 7 forget forget VB 39713 5490 8 my -PRON- PRP$ 39713 5490 9 mathematical mathematical JJ 39713 5490 10 work work NN 39713 5490 11 . . . 39713 5491 1 Having have VBG 39713 5491 2 reached reach VBN 39713 5491 3 Coutances coutance NNS 39713 5491 4 , , , 39713 5491 5 we -PRON- PRP 39713 5491 6 entered enter VBD 39713 5491 7 an an DT 39713 5491 8 omnibus omnibus NN 39713 5491 9 to to TO 39713 5491 10 go go VB 39713 5491 11 some some DT 39713 5491 12 place place NN 39713 5491 13 or or CC 39713 5491 14 other other JJ 39713 5491 15 . . . 39713 5492 1 At at IN 39713 5492 2 the the DT 39713 5492 3 moment moment NN 39713 5492 4 when when WRB 39713 5492 5 I -PRON- PRP 39713 5492 6 put put VBD 39713 5492 7 my -PRON- PRP$ 39713 5492 8 foot foot NN 39713 5492 9 on on IN 39713 5492 10 the the DT 39713 5492 11 step step NN 39713 5492 12 the the DT 39713 5492 13 idea idea NN 39713 5492 14 came come VBD 39713 5492 15 to to IN 39713 5492 16 me -PRON- PRP 39713 5492 17 , , , 39713 5492 18 without without IN 39713 5492 19 anything anything NN 39713 5492 20 in in IN 39713 5492 21 my -PRON- PRP$ 39713 5492 22 former former JJ 39713 5492 23 thoughts thought NNS 39713 5492 24 seeming seem VBG 39713 5492 25 to to TO 39713 5492 26 have have VB 39713 5492 27 paved pave VBN 39713 5492 28 the the DT 39713 5492 29 way way NN 39713 5492 30 for for IN 39713 5492 31 it -PRON- PRP 39713 5492 32 , , , 39713 5492 33 that that IN 39713 5492 34 the the DT 39713 5492 35 transformations transformation NNS 39713 5492 36 I -PRON- PRP 39713 5492 37 had have VBD 39713 5492 38 used use VBN 39713 5492 39 to to TO 39713 5492 40 define define VB 39713 5492 41 the the DT 39713 5492 42 Fuchsian fuchsian JJ 39713 5492 43 functions function NNS 39713 5492 44 were be VBD 39713 5492 45 identical identical JJ 39713 5492 46 with with IN 39713 5492 47 those those DT 39713 5492 48 of of IN 39713 5492 49 non non JJ 39713 5492 50 - - JJ 39713 5492 51 Euclidean euclidean JJ 39713 5492 52 geometry geometry NN 39713 5492 53 . . . 39713 5493 1 I -PRON- PRP 39713 5493 2 did do VBD 39713 5493 3 not not RB 39713 5493 4 verify verify VB 39713 5493 5 the the DT 39713 5493 6 idea idea NN 39713 5493 7 ; ; : 39713 5493 8 I -PRON- PRP 39713 5493 9 should should MD 39713 5493 10 not not RB 39713 5493 11 have have VB 39713 5493 12 had have VBN 39713 5493 13 time time NN 39713 5493 14 , , , 39713 5493 15 as as IN 39713 5493 16 , , , 39713 5493 17 upon upon IN 39713 5493 18 taking take VBG 39713 5493 19 my -PRON- PRP$ 39713 5493 20 seat seat NN 39713 5493 21 in in IN 39713 5493 22 the the DT 39713 5493 23 omnibus omnibus NN 39713 5493 24 , , , 39713 5493 25 I -PRON- PRP 39713 5493 26 went go VBD 39713 5493 27 on on RP 39713 5493 28 with with IN 39713 5493 29 a a DT 39713 5493 30 conversation conversation NN 39713 5493 31 already already RB 39713 5493 32 commenced commence VBN 39713 5493 33 , , , 39713 5493 34 but but CC 39713 5493 35 I -PRON- PRP 39713 5493 36 felt feel VBD 39713 5493 37 a a DT 39713 5493 38 perfect perfect JJ 39713 5493 39 certainty certainty NN 39713 5493 40 . . . 39713 5494 1 On on IN 39713 5494 2 my -PRON- PRP$ 39713 5494 3 return return NN 39713 5494 4 to to IN 39713 5494 5 Caen Caen NNP 39713 5494 6 , , , 39713 5494 7 for for IN 39713 5494 8 conscience conscience NN 39713 5494 9 ' ' '' 39713 5494 10 sake sake NN 39713 5494 11 I -PRON- PRP 39713 5494 12 verified verify VBD 39713 5494 13 the the DT 39713 5494 14 result result NN 39713 5494 15 at at IN 39713 5494 16 my -PRON- PRP$ 39713 5494 17 leisure leisure NN 39713 5494 18 . . . 39713 5495 1 Then then RB 39713 5495 2 I -PRON- PRP 39713 5495 3 turned turn VBD 39713 5495 4 my -PRON- PRP$ 39713 5495 5 attention attention NN 39713 5495 6 to to IN 39713 5495 7 the the DT 39713 5495 8 study study NN 39713 5495 9 of of IN 39713 5495 10 some some DT 39713 5495 11 arithmetical arithmetical JJ 39713 5495 12 questions question NNS 39713 5495 13 apparently apparently RB 39713 5495 14 without without IN 39713 5495 15 much much JJ 39713 5495 16 success success NN 39713 5495 17 and and CC 39713 5495 18 without without IN 39713 5495 19 a a DT 39713 5495 20 suspicion suspicion NN 39713 5495 21 of of IN 39713 5495 22 any any DT 39713 5495 23 connection connection NN 39713 5495 24 with with IN 39713 5495 25 my -PRON- PRP$ 39713 5495 26 preceding precede VBG 39713 5495 27 researches research NNS 39713 5495 28 . . . 39713 5496 1 Disgusted disgust VBN 39713 5496 2 with with IN 39713 5496 3 my -PRON- PRP$ 39713 5496 4 failure failure NN 39713 5496 5 , , , 39713 5496 6 I -PRON- PRP 39713 5496 7 went go VBD 39713 5496 8 to to TO 39713 5496 9 spend spend VB 39713 5496 10 a a DT 39713 5496 11 few few JJ 39713 5496 12 days day NNS 39713 5496 13 at at IN 39713 5496 14 the the DT 39713 5496 15 seaside seaside NN 39713 5496 16 , , , 39713 5496 17 and and CC 39713 5496 18 thought think VBD 39713 5496 19 of of IN 39713 5496 20 something something NN 39713 5496 21 else else RB 39713 5496 22 . . . 39713 5497 1 One one CD 39713 5497 2 morning morning NN 39713 5497 3 , , , 39713 5497 4 walking walk VBG 39713 5497 5 on on IN 39713 5497 6 the the DT 39713 5497 7 bluff bluff NNP 39713 5497 8 , , , 39713 5497 9 the the DT 39713 5497 10 idea idea NN 39713 5497 11 came come VBD 39713 5497 12 to to IN 39713 5497 13 me -PRON- PRP 39713 5497 14 , , , 39713 5497 15 with with IN 39713 5497 16 just just RB 39713 5497 17 the the DT 39713 5497 18 same same JJ 39713 5497 19 characteristics characteristic NNS 39713 5497 20 of of IN 39713 5497 21 brevity brevity NN 39713 5497 22 , , , 39713 5497 23 suddenness suddenness NN 39713 5497 24 and and CC 39713 5497 25 immediate immediate JJ 39713 5497 26 certainty certainty NN 39713 5497 27 , , , 39713 5497 28 that that IN 39713 5497 29 the the DT 39713 5497 30 arithmetic arithmetic JJ 39713 5497 31 transformations transformation NNS 39713 5497 32 of of IN 39713 5497 33 indeterminate indeterminate JJ 39713 5497 34 ternary ternary JJ 39713 5497 35 quadratic quadratic JJ 39713 5497 36 forms form NNS 39713 5497 37 were be VBD 39713 5497 38 identical identical JJ 39713 5497 39 with with IN 39713 5497 40 those those DT 39713 5497 41 of of IN 39713 5497 42 non non JJ 39713 5497 43 - - JJ 39713 5497 44 Euclidean euclidean JJ 39713 5497 45 geometry geometry NN 39713 5497 46 . . . 39713 5498 1 Returned return VBN 39713 5498 2 to to IN 39713 5498 3 Caen Caen NNP 39713 5498 4 , , , 39713 5498 5 I -PRON- PRP 39713 5498 6 meditated meditate VBD 39713 5498 7 on on IN 39713 5498 8 this this DT 39713 5498 9 result result NN 39713 5498 10 and and CC 39713 5498 11 deduced deduce VBD 39713 5498 12 the the DT 39713 5498 13 consequences consequence NNS 39713 5498 14 . . . 39713 5499 1 The the DT 39713 5499 2 example example NN 39713 5499 3 of of IN 39713 5499 4 quadratic quadratic JJ 39713 5499 5 forms form NNS 39713 5499 6 showed show VBD 39713 5499 7 me -PRON- PRP 39713 5499 8 that that IN 39713 5499 9 there there EX 39713 5499 10 were be VBD 39713 5499 11 Fuchsian fuchsian JJ 39713 5499 12 groups group NNS 39713 5499 13 other other JJ 39713 5499 14 than than IN 39713 5499 15 those those DT 39713 5499 16 corresponding correspond VBG 39713 5499 17 to to IN 39713 5499 18 the the DT 39713 5499 19 hypergeometric hypergeometric NN 39713 5499 20 series series NN 39713 5499 21 ; ; : 39713 5499 22 I -PRON- PRP 39713 5499 23 saw see VBD 39713 5499 24 that that IN 39713 5499 25 I -PRON- PRP 39713 5499 26 could could MD 39713 5499 27 apply apply VB 39713 5499 28 to to IN 39713 5499 29 them -PRON- PRP 39713 5499 30 the the DT 39713 5499 31 theory theory NN 39713 5499 32 of of IN 39713 5499 33 theta theta JJ 39713 5499 34 - - HYPH 39713 5499 35 Fuchsian fuchsian JJ 39713 5499 36 series series NN 39713 5499 37 and and CC 39713 5499 38 that that IN 39713 5499 39 consequently consequently RB 39713 5499 40 there there EX 39713 5499 41 existed existed JJ 39713 5499 42 Fuchsian fuchsian JJ 39713 5499 43 functions function NNS 39713 5499 44 other other JJ 39713 5499 45 than than IN 39713 5499 46 those those DT 39713 5499 47 from from IN 39713 5499 48 the the DT 39713 5499 49 hypergeometric hypergeometric NNP 39713 5499 50 series series NNP 39713 5499 51 , , , 39713 5499 52 the the DT 39713 5499 53 ones one NNS 39713 5499 54 I -PRON- PRP 39713 5499 55 then then RB 39713 5499 56 knew know VBD 39713 5499 57 . . . 39713 5500 1 Naturally naturally RB 39713 5500 2 I -PRON- PRP 39713 5500 3 set set VBD 39713 5500 4 myself -PRON- PRP 39713 5500 5 to to TO 39713 5500 6 form form VB 39713 5500 7 all all PDT 39713 5500 8 these these DT 39713 5500 9 functions function NNS 39713 5500 10 . . . 39713 5501 1 I -PRON- PRP 39713 5501 2 made make VBD 39713 5501 3 a a DT 39713 5501 4 systematic systematic JJ 39713 5501 5 attack attack NN 39713 5501 6 upon upon IN 39713 5501 7 them -PRON- PRP 39713 5501 8 and and CC 39713 5501 9 carried carry VBD 39713 5501 10 all all PDT 39713 5501 11 the the DT 39713 5501 12 outworks outwork NNS 39713 5501 13 , , , 39713 5501 14 one one CD 39713 5501 15 after after IN 39713 5501 16 another another DT 39713 5501 17 . . . 39713 5502 1 There there EX 39713 5502 2 was be VBD 39713 5502 3 one one CD 39713 5502 4 however however RB 39713 5502 5 that that WDT 39713 5502 6 still still RB 39713 5502 7 held hold VBD 39713 5502 8 out out RP 39713 5502 9 , , , 39713 5502 10 whose whose WP$ 39713 5502 11 fall fall NN 39713 5502 12 would would MD 39713 5502 13 involve involve VB 39713 5502 14 that that DT 39713 5502 15 of of IN 39713 5502 16 the the DT 39713 5502 17 whole whole JJ 39713 5502 18 place place NN 39713 5502 19 . . . 39713 5503 1 But but CC 39713 5503 2 all all DT 39713 5503 3 my -PRON- PRP$ 39713 5503 4 efforts effort NNS 39713 5503 5 only only RB 39713 5503 6 served serve VBD 39713 5503 7 at at IN 39713 5503 8 first first RB 39713 5503 9 the the DT 39713 5503 10 better well JJR 39713 5503 11 to to TO 39713 5503 12 show show VB 39713 5503 13 me -PRON- PRP 39713 5503 14 the the DT 39713 5503 15 difficulty difficulty NN 39713 5503 16 , , , 39713 5503 17 which which WDT 39713 5503 18 indeed indeed RB 39713 5503 19 was be VBD 39713 5503 20 something something NN 39713 5503 21 . . . 39713 5504 1 All all PDT 39713 5504 2 this this DT 39713 5504 3 work work NN 39713 5504 4 was be VBD 39713 5504 5 perfectly perfectly RB 39713 5504 6 conscious conscious JJ 39713 5504 7 . . . 39713 5505 1 Thereupon thereupon RB 39713 5505 2 I -PRON- PRP 39713 5505 3 left leave VBD 39713 5505 4 for for IN 39713 5505 5 Mont Mont NNP 39713 5505 6 - - HYPH 39713 5505 7 Valérien Valérien NNP 39713 5505 8 , , , 39713 5505 9 where where WRB 39713 5505 10 I -PRON- PRP 39713 5505 11 was be VBD 39713 5505 12 to to TO 39713 5505 13 go go VB 39713 5505 14 through through IN 39713 5505 15 my -PRON- PRP$ 39713 5505 16 military military JJ 39713 5505 17 service service NN 39713 5505 18 ; ; : 39713 5505 19 so so CC 39713 5505 20 I -PRON- PRP 39713 5505 21 was be VBD 39713 5505 22 very very RB 39713 5505 23 differently differently RB 39713 5505 24 occupied occupied JJ 39713 5505 25 . . . 39713 5506 1 One one CD 39713 5506 2 day day NN 39713 5506 3 , , , 39713 5506 4 going go VBG 39713 5506 5 along along IN 39713 5506 6 the the DT 39713 5506 7 street street NN 39713 5506 8 , , , 39713 5506 9 the the DT 39713 5506 10 solution solution NN 39713 5506 11 of of IN 39713 5506 12 the the DT 39713 5506 13 difficulty difficulty NN 39713 5506 14 which which WDT 39713 5506 15 had have VBD 39713 5506 16 stopped stop VBN 39713 5506 17 me -PRON- PRP 39713 5506 18 suddenly suddenly RB 39713 5506 19 appeared appear VBD 39713 5506 20 to to IN 39713 5506 21 me -PRON- PRP 39713 5506 22 . . . 39713 5507 1 I -PRON- PRP 39713 5507 2 did do VBD 39713 5507 3 not not RB 39713 5507 4 try try VB 39713 5507 5 to to TO 39713 5507 6 go go VB 39713 5507 7 deep deep RB 39713 5507 8 into into IN 39713 5507 9 it -PRON- PRP 39713 5507 10 immediately immediately RB 39713 5507 11 , , , 39713 5507 12 and and CC 39713 5507 13 only only RB 39713 5507 14 after after IN 39713 5507 15 my -PRON- PRP$ 39713 5507 16 service service NN 39713 5507 17 did do VBD 39713 5507 18 I -PRON- PRP 39713 5507 19 again again RB 39713 5507 20 take take VB 39713 5507 21 up up RP 39713 5507 22 the the DT 39713 5507 23 question question NN 39713 5507 24 . . . 39713 5508 1 I -PRON- PRP 39713 5508 2 had have VBD 39713 5508 3 all all PDT 39713 5508 4 the the DT 39713 5508 5 elements element NNS 39713 5508 6 and and CC 39713 5508 7 had have VBD 39713 5508 8 only only RB 39713 5508 9 to to TO 39713 5508 10 arrange arrange VB 39713 5508 11 them -PRON- PRP 39713 5508 12 and and CC 39713 5508 13 put put VBD 39713 5508 14 them -PRON- PRP 39713 5508 15 together together RB 39713 5508 16 . . . 39713 5509 1 So so RB 39713 5509 2 I -PRON- PRP 39713 5509 3 wrote write VBD 39713 5509 4 out out RP 39713 5509 5 my -PRON- PRP$ 39713 5509 6 final final JJ 39713 5509 7 memoir memoir NN 39713 5509 8 at at IN 39713 5509 9 a a DT 39713 5509 10 single single JJ 39713 5509 11 stroke stroke NN 39713 5509 12 and and CC 39713 5509 13 without without IN 39713 5509 14 difficulty difficulty NN 39713 5509 15 . . . 39713 5510 1 I -PRON- PRP 39713 5510 2 shall shall MD 39713 5510 3 limit limit VB 39713 5510 4 myself -PRON- PRP 39713 5510 5 to to IN 39713 5510 6 this this DT 39713 5510 7 single single JJ 39713 5510 8 example example NN 39713 5510 9 ; ; : 39713 5510 10 it -PRON- PRP 39713 5510 11 is be VBZ 39713 5510 12 useless useless JJ 39713 5510 13 to to TO 39713 5510 14 multiply multiply VB 39713 5510 15 them -PRON- PRP 39713 5510 16 . . . 39713 5511 1 In in IN 39713 5511 2 regard regard NN 39713 5511 3 to to IN 39713 5511 4 my -PRON- PRP$ 39713 5511 5 other other JJ 39713 5511 6 researches research NNS 39713 5511 7 I -PRON- PRP 39713 5511 8 would would MD 39713 5511 9 have have VB 39713 5511 10 to to TO 39713 5511 11 say say VB 39713 5511 12 analogous analogous JJ 39713 5511 13 things thing NNS 39713 5511 14 , , , 39713 5511 15 and and CC 39713 5511 16 the the DT 39713 5511 17 observations observation NNS 39713 5511 18 of of IN 39713 5511 19 other other JJ 39713 5511 20 mathematicians mathematician NNS 39713 5511 21 given give VBN 39713 5511 22 in in IN 39713 5511 23 _ _ NNP 39713 5511 24 L'enseignement L'enseignement NNP 39713 5511 25 mathématique mathématique NN 39713 5511 26 _ _ NNP 39713 5511 27 would would MD 39713 5511 28 only only RB 39713 5511 29 confirm confirm VB 39713 5511 30 them -PRON- PRP 39713 5511 31 . . . 39713 5512 1 Most Most JJS 39713 5512 2 striking striking JJ 39713 5512 3 at at IN 39713 5512 4 first first RB 39713 5512 5 is be VBZ 39713 5512 6 this this DT 39713 5512 7 appearance appearance NN 39713 5512 8 of of IN 39713 5512 9 sudden sudden JJ 39713 5512 10 illumination illumination NN 39713 5512 11 , , , 39713 5512 12 a a DT 39713 5512 13 manifest manif JJS 39713 5512 14 sign sign NN 39713 5512 15 of of IN 39713 5512 16 long long JJ 39713 5512 17 , , , 39713 5512 18 unconscious unconscious JJ 39713 5512 19 prior prior JJ 39713 5512 20 work work NN 39713 5512 21 . . . 39713 5513 1 The the DT 39713 5513 2 rôle rôle NN 39713 5513 3 of of IN 39713 5513 4 this this DT 39713 5513 5 unconscious unconscious JJ 39713 5513 6 work work NN 39713 5513 7 in in IN 39713 5513 8 mathematical mathematical JJ 39713 5513 9 invention invention NN 39713 5513 10 appears appear VBZ 39713 5513 11 to to IN 39713 5513 12 me -PRON- PRP 39713 5513 13 incontestable incontestable JJ 39713 5513 14 , , , 39713 5513 15 and and CC 39713 5513 16 traces trace NNS 39713 5513 17 of of IN 39713 5513 18 it -PRON- PRP 39713 5513 19 would would MD 39713 5513 20 be be VB 39713 5513 21 found find VBN 39713 5513 22 in in IN 39713 5513 23 other other JJ 39713 5513 24 cases case NNS 39713 5513 25 where where WRB 39713 5513 26 it -PRON- PRP 39713 5513 27 is be VBZ 39713 5513 28 less less RBR 39713 5513 29 evident evident JJ 39713 5513 30 . . . 39713 5514 1 Often often RB 39713 5514 2 when when WRB 39713 5514 3 one one PRP 39713 5514 4 works work VBZ 39713 5514 5 at at IN 39713 5514 6 a a DT 39713 5514 7 hard hard JJ 39713 5514 8 question question NN 39713 5514 9 , , , 39713 5514 10 nothing nothing NN 39713 5514 11 good good JJ 39713 5514 12 is be VBZ 39713 5514 13 accomplished accomplish VBN 39713 5514 14 at at IN 39713 5514 15 the the DT 39713 5514 16 first first JJ 39713 5514 17 attack attack NN 39713 5514 18 . . . 39713 5515 1 Then then RB 39713 5515 2 one one PRP 39713 5515 3 takes take VBZ 39713 5515 4 a a DT 39713 5515 5 rest rest NN 39713 5515 6 , , , 39713 5515 7 longer long JJR 39713 5515 8 or or CC 39713 5515 9 shorter shorter RBR 39713 5515 10 , , , 39713 5515 11 and and CC 39713 5515 12 sits sit VBZ 39713 5515 13 down down RP 39713 5515 14 anew anew RB 39713 5515 15 to to IN 39713 5515 16 the the DT 39713 5515 17 work work NN 39713 5515 18 . . . 39713 5516 1 During during IN 39713 5516 2 the the DT 39713 5516 3 first first JJ 39713 5516 4 half half JJ 39713 5516 5 - - HYPH 39713 5516 6 hour hour NN 39713 5516 7 , , , 39713 5516 8 as as IN 39713 5516 9 before before RB 39713 5516 10 , , , 39713 5516 11 nothing nothing NN 39713 5516 12 is be VBZ 39713 5516 13 found find VBN 39713 5516 14 , , , 39713 5516 15 and and CC 39713 5516 16 then then RB 39713 5516 17 all all DT 39713 5516 18 of of RB 39713 5516 19 a a RB 39713 5516 20 sudden sudden JJ 39713 5516 21 the the DT 39713 5516 22 decisive decisive JJ 39713 5516 23 idea idea NN 39713 5516 24 presents present VBZ 39713 5516 25 itself -PRON- PRP 39713 5516 26 to to IN 39713 5516 27 the the DT 39713 5516 28 mind mind NN 39713 5516 29 . . . 39713 5517 1 It -PRON- PRP 39713 5517 2 might may MD 39713 5517 3 be be VB 39713 5517 4 said say VBN 39713 5517 5 that that IN 39713 5517 6 the the DT 39713 5517 7 conscious conscious JJ 39713 5517 8 work work NN 39713 5517 9 has have VBZ 39713 5517 10 been be VBN 39713 5517 11 more more RBR 39713 5517 12 fruitful fruitful JJ 39713 5517 13 because because IN 39713 5517 14 it -PRON- PRP 39713 5517 15 has have VBZ 39713 5517 16 been be VBN 39713 5517 17 interrupted interrupt VBN 39713 5517 18 and and CC 39713 5517 19 the the DT 39713 5517 20 rest rest NN 39713 5517 21 has have VBZ 39713 5517 22 given give VBN 39713 5517 23 back back RB 39713 5517 24 to to IN 39713 5517 25 the the DT 39713 5517 26 mind mind NN 39713 5517 27 its -PRON- PRP$ 39713 5517 28 force force NN 39713 5517 29 and and CC 39713 5517 30 freshness freshness NN 39713 5517 31 . . . 39713 5518 1 But but CC 39713 5518 2 it -PRON- PRP 39713 5518 3 is be VBZ 39713 5518 4 more more RBR 39713 5518 5 probable probable JJ 39713 5518 6 that that IN 39713 5518 7 this this DT 39713 5518 8 rest rest NN 39713 5518 9 has have VBZ 39713 5518 10 been be VBN 39713 5518 11 filled fill VBN 39713 5518 12 out out RP 39713 5518 13 with with IN 39713 5518 14 unconscious unconscious JJ 39713 5518 15 work work NN 39713 5518 16 and and CC 39713 5518 17 that that IN 39713 5518 18 the the DT 39713 5518 19 result result NN 39713 5518 20 of of IN 39713 5518 21 this this DT 39713 5518 22 work work NN 39713 5518 23 has have VBZ 39713 5518 24 afterward afterward RB 39713 5518 25 revealed reveal VBN 39713 5518 26 itself -PRON- PRP 39713 5518 27 to to IN 39713 5518 28 the the DT 39713 5518 29 geometer geometer NN 39713 5518 30 just just RB 39713 5518 31 as as IN 39713 5518 32 in in IN 39713 5518 33 the the DT 39713 5518 34 cases case NNS 39713 5518 35 I -PRON- PRP 39713 5518 36 have have VBP 39713 5518 37 cited cite VBN 39713 5518 38 ; ; : 39713 5518 39 only only RB 39713 5518 40 the the DT 39713 5518 41 revelation revelation NN 39713 5518 42 , , , 39713 5518 43 instead instead RB 39713 5518 44 of of IN 39713 5518 45 coming come VBG 39713 5518 46 during during IN 39713 5518 47 a a DT 39713 5518 48 walk walk NN 39713 5518 49 or or CC 39713 5518 50 a a DT 39713 5518 51 journey journey NN 39713 5518 52 , , , 39713 5518 53 has have VBZ 39713 5518 54 happened happen VBN 39713 5518 55 during during IN 39713 5518 56 a a DT 39713 5518 57 period period NN 39713 5518 58 of of IN 39713 5518 59 conscious conscious JJ 39713 5518 60 work work NN 39713 5518 61 , , , 39713 5518 62 but but CC 39713 5518 63 independently independently RB 39713 5518 64 of of IN 39713 5518 65 this this DT 39713 5518 66 work work NN 39713 5518 67 which which WDT 39713 5518 68 plays play VBZ 39713 5518 69 at at IN 39713 5518 70 most most JJS 39713 5518 71 a a DT 39713 5518 72 rôle rôle NN 39713 5518 73 of of IN 39713 5518 74 excitant excitant JJ 39713 5518 75 , , , 39713 5518 76 as as IN 39713 5518 77 if if IN 39713 5518 78 it -PRON- PRP 39713 5518 79 were be VBD 39713 5518 80 the the DT 39713 5518 81 goad goad NN 39713 5518 82 stimulating stimulate VBG 39713 5518 83 the the DT 39713 5518 84 results result NNS 39713 5518 85 already already RB 39713 5518 86 reached reach VBN 39713 5518 87 during during IN 39713 5518 88 rest rest NN 39713 5518 89 , , , 39713 5518 90 but but CC 39713 5518 91 remaining remain VBG 39713 5518 92 unconscious unconscious JJ 39713 5518 93 , , , 39713 5518 94 to to TO 39713 5518 95 assume assume VB 39713 5518 96 the the DT 39713 5518 97 conscious conscious JJ 39713 5518 98 form form NN 39713 5518 99 . . . 39713 5519 1 There there EX 39713 5519 2 is be VBZ 39713 5519 3 another another DT 39713 5519 4 remark remark NN 39713 5519 5 to to TO 39713 5519 6 be be VB 39713 5519 7 made make VBN 39713 5519 8 about about IN 39713 5519 9 the the DT 39713 5519 10 conditions condition NNS 39713 5519 11 of of IN 39713 5519 12 this this DT 39713 5519 13 unconscious unconscious JJ 39713 5519 14 work work NN 39713 5519 15 : : : 39713 5519 16 it -PRON- PRP 39713 5519 17 is be VBZ 39713 5519 18 possible possible JJ 39713 5519 19 , , , 39713 5519 20 and and CC 39713 5519 21 of of IN 39713 5519 22 a a DT 39713 5519 23 certainty certainty NN 39713 5519 24 it -PRON- PRP 39713 5519 25 is be VBZ 39713 5519 26 only only RB 39713 5519 27 fruitful fruitful JJ 39713 5519 28 , , , 39713 5519 29 if if IN 39713 5519 30 it -PRON- PRP 39713 5519 31 is be VBZ 39713 5519 32 on on IN 39713 5519 33 the the DT 39713 5519 34 one one CD 39713 5519 35 hand hand NN 39713 5519 36 preceded precede VBD 39713 5519 37 and and CC 39713 5519 38 on on IN 39713 5519 39 the the DT 39713 5519 40 other other JJ 39713 5519 41 hand hand NN 39713 5519 42 followed follow VBN 39713 5519 43 by by IN 39713 5519 44 a a DT 39713 5519 45 period period NN 39713 5519 46 of of IN 39713 5519 47 conscious conscious JJ 39713 5519 48 work work NN 39713 5519 49 . . . 39713 5520 1 These these DT 39713 5520 2 sudden sudden JJ 39713 5520 3 inspirations inspiration NNS 39713 5520 4 ( ( -LRB- 39713 5520 5 and and CC 39713 5520 6 the the DT 39713 5520 7 examples example NNS 39713 5520 8 already already RB 39713 5520 9 cited cite VBN 39713 5520 10 sufficiently sufficiently RB 39713 5520 11 prove prove VB 39713 5520 12 this this DT 39713 5520 13 ) ) -RRB- 39713 5520 14 never never RB 39713 5520 15 happen happen VB 39713 5520 16 except except IN 39713 5520 17 after after IN 39713 5520 18 some some DT 39713 5520 19 days day NNS 39713 5520 20 of of IN 39713 5520 21 voluntary voluntary JJ 39713 5520 22 effort effort NN 39713 5520 23 which which WDT 39713 5520 24 has have VBZ 39713 5520 25 appeared appear VBN 39713 5520 26 absolutely absolutely RB 39713 5520 27 fruitless fruitless JJ 39713 5520 28 and and CC 39713 5520 29 whence whence JJR 39713 5520 30 nothing nothing NN 39713 5520 31 good good JJ 39713 5520 32 seems seem VBZ 39713 5520 33 to to TO 39713 5520 34 have have VB 39713 5520 35 come come VBN 39713 5520 36 , , , 39713 5520 37 where where WRB 39713 5520 38 the the DT 39713 5520 39 way way NN 39713 5520 40 taken take VBN 39713 5520 41 seems seem VBZ 39713 5520 42 totally totally RB 39713 5520 43 astray astray JJ 39713 5520 44 . . . 39713 5521 1 These these DT 39713 5521 2 efforts effort NNS 39713 5521 3 then then RB 39713 5521 4 have have VBP 39713 5521 5 not not RB 39713 5521 6 been be VBN 39713 5521 7 as as RB 39713 5521 8 sterile sterile JJ 39713 5521 9 as as IN 39713 5521 10 one one PRP 39713 5521 11 thinks think VBZ 39713 5521 12 ; ; : 39713 5521 13 they -PRON- PRP 39713 5521 14 have have VBP 39713 5521 15 set set VBN 39713 5521 16 agoing agoe VBG 39713 5521 17 the the DT 39713 5521 18 unconscious unconscious JJ 39713 5521 19 machine machine NN 39713 5521 20 and and CC 39713 5521 21 without without IN 39713 5521 22 them -PRON- PRP 39713 5521 23 it -PRON- PRP 39713 5521 24 would would MD 39713 5521 25 not not RB 39713 5521 26 have have VB 39713 5521 27 moved move VBN 39713 5521 28 and and CC 39713 5521 29 would would MD 39713 5521 30 have have VB 39713 5521 31 produced produce VBN 39713 5521 32 nothing nothing NN 39713 5521 33 . . . 39713 5522 1 The the DT 39713 5522 2 need need NN 39713 5522 3 for for IN 39713 5522 4 the the DT 39713 5522 5 second second JJ 39713 5522 6 period period NN 39713 5522 7 of of IN 39713 5522 8 conscious conscious JJ 39713 5522 9 work work NN 39713 5522 10 , , , 39713 5522 11 after after IN 39713 5522 12 the the DT 39713 5522 13 inspiration inspiration NN 39713 5522 14 , , , 39713 5522 15 is be VBZ 39713 5522 16 still still RB 39713 5522 17 easier easy JJR 39713 5522 18 to to TO 39713 5522 19 understand understand VB 39713 5522 20 . . . 39713 5523 1 It -PRON- PRP 39713 5523 2 is be VBZ 39713 5523 3 necessary necessary JJ 39713 5523 4 to to TO 39713 5523 5 put put VB 39713 5523 6 in in IN 39713 5523 7 shape shape NN 39713 5523 8 the the DT 39713 5523 9 results result NNS 39713 5523 10 of of IN 39713 5523 11 this this DT 39713 5523 12 inspiration inspiration NN 39713 5523 13 , , , 39713 5523 14 to to TO 39713 5523 15 deduce deduce VB 39713 5523 16 from from IN 39713 5523 17 them -PRON- PRP 39713 5523 18 the the DT 39713 5523 19 immediate immediate JJ 39713 5523 20 consequences consequence NNS 39713 5523 21 , , , 39713 5523 22 to to TO 39713 5523 23 arrange arrange VB 39713 5523 24 them -PRON- PRP 39713 5523 25 , , , 39713 5523 26 to to TO 39713 5523 27 word word VB 39713 5523 28 the the DT 39713 5523 29 demonstrations demonstration NNS 39713 5523 30 , , , 39713 5523 31 but but CC 39713 5523 32 above above IN 39713 5523 33 all all DT 39713 5523 34 is be VBZ 39713 5523 35 verification verification NN 39713 5523 36 necessary necessary JJ 39713 5523 37 . . . 39713 5524 1 I -PRON- PRP 39713 5524 2 have have VBP 39713 5524 3 spoken speak VBN 39713 5524 4 of of IN 39713 5524 5 the the DT 39713 5524 6 feeling feeling NN 39713 5524 7 of of IN 39713 5524 8 absolute absolute JJ 39713 5524 9 certitude certitude NN 39713 5524 10 accompanying accompany VBG 39713 5524 11 the the DT 39713 5524 12 inspiration inspiration NN 39713 5524 13 ; ; : 39713 5524 14 in in IN 39713 5524 15 the the DT 39713 5524 16 cases case NNS 39713 5524 17 cited cite VBD 39713 5524 18 this this DT 39713 5524 19 feeling feeling NN 39713 5524 20 was be VBD 39713 5524 21 no no DT 39713 5524 22 deceiver deceiver RB 39713 5524 23 , , , 39713 5524 24 nor nor CC 39713 5524 25 is be VBZ 39713 5524 26 it -PRON- PRP 39713 5524 27 usually usually RB 39713 5524 28 . . . 39713 5525 1 But but CC 39713 5525 2 do do VB 39713 5525 3 not not RB 39713 5525 4 think think VB 39713 5525 5 this this DT 39713 5525 6 a a DT 39713 5525 7 rule rule NN 39713 5525 8 without without IN 39713 5525 9 exception exception NN 39713 5525 10 ; ; : 39713 5525 11 often often RB 39713 5525 12 this this DT 39713 5525 13 feeling feeling NN 39713 5525 14 deceives deceive VBZ 39713 5525 15 us -PRON- PRP 39713 5525 16 without without IN 39713 5525 17 being be VBG 39713 5525 18 any any DT 39713 5525 19 the the DT 39713 5525 20 less less RBR 39713 5525 21 vivid vivid JJ 39713 5525 22 , , , 39713 5525 23 and and CC 39713 5525 24 we -PRON- PRP 39713 5525 25 only only RB 39713 5525 26 find find VBP 39713 5525 27 it -PRON- PRP 39713 5525 28 out out RP 39713 5525 29 when when WRB 39713 5525 30 we -PRON- PRP 39713 5525 31 seek seek VBP 39713 5525 32 to to TO 39713 5525 33 put put VB 39713 5525 34 on on RP 39713 5525 35 foot foot NN 39713 5525 36 the the DT 39713 5525 37 demonstration demonstration NN 39713 5525 38 . . . 39713 5526 1 I -PRON- PRP 39713 5526 2 have have VBP 39713 5526 3 especially especially RB 39713 5526 4 noticed notice VBN 39713 5526 5 this this DT 39713 5526 6 fact fact NN 39713 5526 7 in in IN 39713 5526 8 regard regard NN 39713 5526 9 to to IN 39713 5526 10 ideas idea NNS 39713 5526 11 coming come VBG 39713 5526 12 to to IN 39713 5526 13 me -PRON- PRP 39713 5526 14 in in IN 39713 5526 15 the the DT 39713 5526 16 morning morning NN 39713 5526 17 or or CC 39713 5526 18 evening evening NN 39713 5526 19 in in IN 39713 5526 20 bed bed NN 39713 5526 21 while while IN 39713 5526 22 in in IN 39713 5526 23 a a DT 39713 5526 24 semi semi JJ 39713 5526 25 - - JJ 39713 5526 26 hypnagogic hypnagogic JJ 39713 5526 27 state state NN 39713 5526 28 . . . 39713 5527 1 Such such JJ 39713 5527 2 are be VBP 39713 5527 3 the the DT 39713 5527 4 realities reality NNS 39713 5527 5 ; ; : 39713 5527 6 now now RB 39713 5527 7 for for IN 39713 5527 8 the the DT 39713 5527 9 thoughts thought NNS 39713 5527 10 they -PRON- PRP 39713 5527 11 force force VBP 39713 5527 12 upon upon IN 39713 5527 13 us -PRON- PRP 39713 5527 14 . . . 39713 5528 1 The the DT 39713 5528 2 unconscious unconscious JJ 39713 5528 3 , , , 39713 5528 4 or or CC 39713 5528 5 , , , 39713 5528 6 as as IN 39713 5528 7 we -PRON- PRP 39713 5528 8 say say VBP 39713 5528 9 , , , 39713 5528 10 the the DT 39713 5528 11 subliminal subliminal JJ 39713 5528 12 self self NN 39713 5528 13 plays play VBZ 39713 5528 14 an an DT 39713 5528 15 important important JJ 39713 5528 16 rôle rôle NN 39713 5528 17 in in IN 39713 5528 18 mathematical mathematical JJ 39713 5528 19 creation creation NN 39713 5528 20 ; ; : 39713 5528 21 this this DT 39713 5528 22 follows follow VBZ 39713 5528 23 from from IN 39713 5528 24 what what WP 39713 5528 25 we -PRON- PRP 39713 5528 26 have have VBP 39713 5528 27 said say VBD 39713 5528 28 . . . 39713 5529 1 But but CC 39713 5529 2 usually usually RB 39713 5529 3 the the DT 39713 5529 4 subliminal subliminal JJ 39713 5529 5 self self NN 39713 5529 6 is be VBZ 39713 5529 7 considered consider VBN 39713 5529 8 as as IN 39713 5529 9 purely purely RB 39713 5529 10 automatic automatic JJ 39713 5529 11 . . . 39713 5530 1 Now now RB 39713 5530 2 we -PRON- PRP 39713 5530 3 have have VBP 39713 5530 4 seen see VBN 39713 5530 5 that that DT 39713 5530 6 mathematical mathematical JJ 39713 5530 7 work work NN 39713 5530 8 is be VBZ 39713 5530 9 not not RB 39713 5530 10 simply simply RB 39713 5530 11 mechanical mechanical JJ 39713 5530 12 , , , 39713 5530 13 that that IN 39713 5530 14 it -PRON- PRP 39713 5530 15 could could MD 39713 5530 16 not not RB 39713 5530 17 be be VB 39713 5530 18 done do VBN 39713 5530 19 by by IN 39713 5530 20 a a DT 39713 5530 21 machine machine NN 39713 5530 22 , , , 39713 5530 23 however however RB 39713 5530 24 perfect perfect JJ 39713 5530 25 . . . 39713 5531 1 It -PRON- PRP 39713 5531 2 is be VBZ 39713 5531 3 not not RB 39713 5531 4 merely merely RB 39713 5531 5 a a DT 39713 5531 6 question question NN 39713 5531 7 of of IN 39713 5531 8 applying apply VBG 39713 5531 9 rules rule NNS 39713 5531 10 , , , 39713 5531 11 of of IN 39713 5531 12 making make VBG 39713 5531 13 the the DT 39713 5531 14 most most JJS 39713 5531 15 combinations combination NNS 39713 5531 16 possible possible JJ 39713 5531 17 according accord VBG 39713 5531 18 to to IN 39713 5531 19 certain certain JJ 39713 5531 20 fixed fixed JJ 39713 5531 21 laws law NNS 39713 5531 22 . . . 39713 5532 1 The the DT 39713 5532 2 combinations combination NNS 39713 5532 3 so so RB 39713 5532 4 obtained obtain VBN 39713 5532 5 would would MD 39713 5532 6 be be VB 39713 5532 7 exceedingly exceedingly RB 39713 5532 8 numerous numerous JJ 39713 5532 9 , , , 39713 5532 10 useless useless JJ 39713 5532 11 and and CC 39713 5532 12 cumbersome cumbersome JJ 39713 5532 13 . . . 39713 5533 1 The the DT 39713 5533 2 true true JJ 39713 5533 3 work work NN 39713 5533 4 of of IN 39713 5533 5 the the DT 39713 5533 6 inventor inventor NN 39713 5533 7 consists consist VBZ 39713 5533 8 in in IN 39713 5533 9 choosing choose VBG 39713 5533 10 among among IN 39713 5533 11 these these DT 39713 5533 12 combinations combination NNS 39713 5533 13 so so IN 39713 5533 14 as as IN 39713 5533 15 to to TO 39713 5533 16 eliminate eliminate VB 39713 5533 17 the the DT 39713 5533 18 useless useless JJ 39713 5533 19 ones one NNS 39713 5533 20 or or CC 39713 5533 21 rather rather RB 39713 5533 22 to to TO 39713 5533 23 avoid avoid VB 39713 5533 24 the the DT 39713 5533 25 trouble trouble NN 39713 5533 26 of of IN 39713 5533 27 making make VBG 39713 5533 28 them -PRON- PRP 39713 5533 29 , , , 39713 5533 30 and and CC 39713 5533 31 the the DT 39713 5533 32 rules rule NNS 39713 5533 33 which which WDT 39713 5533 34 must must MD 39713 5533 35 guide guide VB 39713 5533 36 this this DT 39713 5533 37 choice choice NN 39713 5533 38 are be VBP 39713 5533 39 extremely extremely RB 39713 5533 40 fine fine JJ 39713 5533 41 and and CC 39713 5533 42 delicate delicate JJ 39713 5533 43 . . . 39713 5534 1 It -PRON- PRP 39713 5534 2 is be VBZ 39713 5534 3 almost almost RB 39713 5534 4 impossible impossible JJ 39713 5534 5 to to TO 39713 5534 6 state state VB 39713 5534 7 them -PRON- PRP 39713 5534 8 precisely precisely RB 39713 5534 9 ; ; : 39713 5534 10 they -PRON- PRP 39713 5534 11 are be VBP 39713 5534 12 felt feel VBN 39713 5534 13 rather rather RB 39713 5534 14 than than IN 39713 5534 15 formulated formulate VBN 39713 5534 16 . . . 39713 5535 1 Under under IN 39713 5535 2 these these DT 39713 5535 3 conditions condition NNS 39713 5535 4 , , , 39713 5535 5 how how WRB 39713 5535 6 imagine imagine VB 39713 5535 7 a a DT 39713 5535 8 sieve sieve NN 39713 5535 9 capable capable JJ 39713 5535 10 of of IN 39713 5535 11 applying apply VBG 39713 5535 12 them -PRON- PRP 39713 5535 13 mechanically mechanically RB 39713 5535 14 ? ? . 39713 5536 1 A a DT 39713 5536 2 first first JJ 39713 5536 3 hypothesis hypothesis NN 39713 5536 4 now now RB 39713 5536 5 presents present VBZ 39713 5536 6 itself -PRON- PRP 39713 5536 7 : : : 39713 5536 8 the the DT 39713 5536 9 subliminal subliminal JJ 39713 5536 10 self self NN 39713 5536 11 is be VBZ 39713 5536 12 in in IN 39713 5536 13 no no DT 39713 5536 14 way way NN 39713 5536 15 inferior inferior JJ 39713 5536 16 to to IN 39713 5536 17 the the DT 39713 5536 18 conscious conscious JJ 39713 5536 19 self self NN 39713 5536 20 ; ; : 39713 5536 21 it -PRON- PRP 39713 5536 22 is be VBZ 39713 5536 23 not not RB 39713 5536 24 purely purely RB 39713 5536 25 automatic automatic JJ 39713 5536 26 ; ; : 39713 5536 27 it -PRON- PRP 39713 5536 28 is be VBZ 39713 5536 29 capable capable JJ 39713 5536 30 of of IN 39713 5536 31 discernment discernment NN 39713 5536 32 ; ; : 39713 5536 33 it -PRON- PRP 39713 5536 34 has have VBZ 39713 5536 35 tact tact NN 39713 5536 36 , , , 39713 5536 37 delicacy delicacy NN 39713 5536 38 ; ; : 39713 5536 39 it -PRON- PRP 39713 5536 40 knows know VBZ 39713 5536 41 how how WRB 39713 5536 42 to to TO 39713 5536 43 choose choose VB 39713 5536 44 , , , 39713 5536 45 to to TO 39713 5536 46 divine divine VB 39713 5536 47 . . . 39713 5537 1 What what WP 39713 5537 2 do do VBP 39713 5537 3 I -PRON- PRP 39713 5537 4 say say VB 39713 5537 5 ? ? . 39713 5538 1 It -PRON- PRP 39713 5538 2 knows know VBZ 39713 5538 3 better well RBR 39713 5538 4 how how WRB 39713 5538 5 to to TO 39713 5538 6 divine divine VB 39713 5538 7 than than IN 39713 5538 8 the the DT 39713 5538 9 conscious conscious JJ 39713 5538 10 self self NN 39713 5538 11 , , , 39713 5538 12 since since IN 39713 5538 13 it -PRON- PRP 39713 5538 14 succeeds succeed VBZ 39713 5538 15 where where WRB 39713 5538 16 that that DT 39713 5538 17 has have VBZ 39713 5538 18 failed fail VBN 39713 5538 19 . . . 39713 5539 1 In in IN 39713 5539 2 a a DT 39713 5539 3 word word NN 39713 5539 4 , , , 39713 5539 5 is be VBZ 39713 5539 6 not not RB 39713 5539 7 the the DT 39713 5539 8 subliminal subliminal JJ 39713 5539 9 self self NN 39713 5539 10 superior superior JJ 39713 5539 11 to to IN 39713 5539 12 the the DT 39713 5539 13 conscious conscious JJ 39713 5539 14 self self NN 39713 5539 15 ? ? . 39713 5540 1 You -PRON- PRP 39713 5540 2 recognize recognize VBP 39713 5540 3 the the DT 39713 5540 4 full full JJ 39713 5540 5 importance importance NN 39713 5540 6 of of IN 39713 5540 7 this this DT 39713 5540 8 question question NN 39713 5540 9 . . . 39713 5541 1 Boutroux boutroux NN 39713 5541 2 in in IN 39713 5541 3 a a DT 39713 5541 4 recent recent JJ 39713 5541 5 lecture lecture NN 39713 5541 6 has have VBZ 39713 5541 7 shown show VBN 39713 5541 8 how how WRB 39713 5541 9 it -PRON- PRP 39713 5541 10 came come VBD 39713 5541 11 up up RP 39713 5541 12 on on IN 39713 5541 13 a a DT 39713 5541 14 very very RB 39713 5541 15 different different JJ 39713 5541 16 occasion occasion NN 39713 5541 17 , , , 39713 5541 18 and and CC 39713 5541 19 what what WDT 39713 5541 20 consequences consequence NNS 39713 5541 21 would would MD 39713 5541 22 follow follow VB 39713 5541 23 an an DT 39713 5541 24 affirmative affirmative JJ 39713 5541 25 answer answer NN 39713 5541 26 . . . 39713 5542 1 ( ( -LRB- 39713 5542 2 See see VB 39713 5542 3 also also RB 39713 5542 4 , , , 39713 5542 5 by by IN 39713 5542 6 the the DT 39713 5542 7 same same JJ 39713 5542 8 author author NN 39713 5542 9 , , , 39713 5542 10 _ _ NNP 39713 5542 11 Science Science NNP 39713 5542 12 et et NNP 39713 5542 13 Religion Religion NNP 39713 5542 14 _ _ NNP 39713 5542 15 , , , 39713 5542 16 pp pp NNP 39713 5542 17 . . . 39713 5543 1 313 313 CD 39713 5543 2 ff ff NN 39713 5543 3 . . . 39713 5543 4 ) ) -RRB- 39713 5544 1 Is be VBZ 39713 5544 2 this this DT 39713 5544 3 affirmative affirmative JJ 39713 5544 4 answer answer NN 39713 5544 5 forced force VBN 39713 5544 6 upon upon IN 39713 5544 7 us -PRON- PRP 39713 5544 8 by by IN 39713 5544 9 the the DT 39713 5544 10 facts fact NNS 39713 5544 11 I -PRON- PRP 39713 5544 12 have have VBP 39713 5544 13 just just RB 39713 5544 14 given give VBN 39713 5544 15 ? ? . 39713 5545 1 I -PRON- PRP 39713 5545 2 confess confess VBP 39713 5545 3 that that IN 39713 5545 4 , , , 39713 5545 5 for for IN 39713 5545 6 my -PRON- PRP$ 39713 5545 7 part part NN 39713 5545 8 , , , 39713 5545 9 I -PRON- PRP 39713 5545 10 should should MD 39713 5545 11 hate hate VB 39713 5545 12 to to TO 39713 5545 13 accept accept VB 39713 5545 14 it -PRON- PRP 39713 5545 15 . . . 39713 5546 1 Reexamine reexamine VB 39713 5546 2 the the DT 39713 5546 3 facts fact NNS 39713 5546 4 then then RB 39713 5546 5 and and CC 39713 5546 6 see see VB 39713 5546 7 if if IN 39713 5546 8 they -PRON- PRP 39713 5546 9 are be VBP 39713 5546 10 not not RB 39713 5546 11 compatible compatible JJ 39713 5546 12 with with IN 39713 5546 13 another another DT 39713 5546 14 explanation explanation NN 39713 5546 15 . . . 39713 5547 1 It -PRON- PRP 39713 5547 2 is be VBZ 39713 5547 3 certain certain JJ 39713 5547 4 that that IN 39713 5547 5 the the DT 39713 5547 6 combinations combination NNS 39713 5547 7 which which WDT 39713 5547 8 present present VBP 39713 5547 9 themselves -PRON- PRP 39713 5547 10 to to IN 39713 5547 11 the the DT 39713 5547 12 mind mind NN 39713 5547 13 in in IN 39713 5547 14 a a DT 39713 5547 15 sort sort NN 39713 5547 16 of of IN 39713 5547 17 sudden sudden JJ 39713 5547 18 illumination illumination NN 39713 5547 19 , , , 39713 5547 20 after after IN 39713 5547 21 an an DT 39713 5547 22 unconscious unconscious JJ 39713 5547 23 working work VBG 39713 5547 24 somewhat somewhat RB 39713 5547 25 prolonged prolonged JJ 39713 5547 26 , , , 39713 5547 27 are be VBP 39713 5547 28 generally generally RB 39713 5547 29 useful useful JJ 39713 5547 30 and and CC 39713 5547 31 fertile fertile JJ 39713 5547 32 combinations combination NNS 39713 5547 33 , , , 39713 5547 34 which which WDT 39713 5547 35 seem seem VBP 39713 5547 36 the the DT 39713 5547 37 result result NN 39713 5547 38 of of IN 39713 5547 39 a a DT 39713 5547 40 first first JJ 39713 5547 41 impression impression NN 39713 5547 42 . . . 39713 5548 1 Does do VBZ 39713 5548 2 it -PRON- PRP 39713 5548 3 follow follow VB 39713 5548 4 that that IN 39713 5548 5 the the DT 39713 5548 6 subliminal subliminal JJ 39713 5548 7 self self NN 39713 5548 8 , , , 39713 5548 9 having have VBG 39713 5548 10 divined divine VBN 39713 5548 11 by by IN 39713 5548 12 a a DT 39713 5548 13 delicate delicate JJ 39713 5548 14 intuition intuition NN 39713 5548 15 that that IN 39713 5548 16 these these DT 39713 5548 17 combinations combination NNS 39713 5548 18 would would MD 39713 5548 19 be be VB 39713 5548 20 useful useful JJ 39713 5548 21 , , , 39713 5548 22 has have VBZ 39713 5548 23 formed form VBN 39713 5548 24 only only RB 39713 5548 25 these these DT 39713 5548 26 , , , 39713 5548 27 or or CC 39713 5548 28 has have VBZ 39713 5548 29 it -PRON- PRP 39713 5548 30 rather rather RB 39713 5548 31 formed form VBN 39713 5548 32 many many JJ 39713 5548 33 others other NNS 39713 5548 34 which which WDT 39713 5548 35 were be VBD 39713 5548 36 lacking lack VBG 39713 5548 37 in in IN 39713 5548 38 interest interest NN 39713 5548 39 and and CC 39713 5548 40 have have VBP 39713 5548 41 remained remain VBN 39713 5548 42 unconscious unconscious JJ 39713 5548 43 ? ? . 39713 5549 1 In in IN 39713 5549 2 this this DT 39713 5549 3 second second JJ 39713 5549 4 way way NN 39713 5549 5 of of IN 39713 5549 6 looking look VBG 39713 5549 7 at at IN 39713 5549 8 it -PRON- PRP 39713 5549 9 , , , 39713 5549 10 all all PDT 39713 5549 11 the the DT 39713 5549 12 combinations combination NNS 39713 5549 13 would would MD 39713 5549 14 be be VB 39713 5549 15 formed form VBN 39713 5549 16 in in IN 39713 5549 17 consequence consequence NN 39713 5549 18 of of IN 39713 5549 19 the the DT 39713 5549 20 automatism automatism NN 39713 5549 21 of of IN 39713 5549 22 the the DT 39713 5549 23 subliminal subliminal JJ 39713 5549 24 self self NN 39713 5549 25 , , , 39713 5549 26 but but CC 39713 5549 27 only only RB 39713 5549 28 the the DT 39713 5549 29 interesting interesting JJ 39713 5549 30 ones one NNS 39713 5549 31 would would MD 39713 5549 32 break break VB 39713 5549 33 into into IN 39713 5549 34 the the DT 39713 5549 35 domain domain NN 39713 5549 36 of of IN 39713 5549 37 consciousness consciousness NN 39713 5549 38 . . . 39713 5550 1 And and CC 39713 5550 2 this this DT 39713 5550 3 is be VBZ 39713 5550 4 still still RB 39713 5550 5 very very RB 39713 5550 6 mysterious mysterious JJ 39713 5550 7 . . . 39713 5551 1 What what WP 39713 5551 2 is be VBZ 39713 5551 3 the the DT 39713 5551 4 cause cause NN 39713 5551 5 that that IN 39713 5551 6 , , , 39713 5551 7 among among IN 39713 5551 8 the the DT 39713 5551 9 thousand thousand CD 39713 5551 10 products product NNS 39713 5551 11 of of IN 39713 5551 12 our -PRON- PRP$ 39713 5551 13 unconscious unconscious JJ 39713 5551 14 activity activity NN 39713 5551 15 , , , 39713 5551 16 some some DT 39713 5551 17 are be VBP 39713 5551 18 called call VBN 39713 5551 19 to to TO 39713 5551 20 pass pass VB 39713 5551 21 the the DT 39713 5551 22 threshold threshold NN 39713 5551 23 , , , 39713 5551 24 while while IN 39713 5551 25 others other NNS 39713 5551 26 remain remain VBP 39713 5551 27 below below RB 39713 5551 28 ? ? . 39713 5552 1 Is be VBZ 39713 5552 2 it -PRON- PRP 39713 5552 3 a a DT 39713 5552 4 simple simple JJ 39713 5552 5 chance chance NN 39713 5552 6 which which WDT 39713 5552 7 confers confer NNS 39713 5552 8 this this DT 39713 5552 9 privilege privilege NN 39713 5552 10 ? ? . 39713 5553 1 Evidently evidently RB 39713 5553 2 not not RB 39713 5553 3 ; ; : 39713 5553 4 among among IN 39713 5553 5 all all PDT 39713 5553 6 the the DT 39713 5553 7 stimuli stimulus NNS 39713 5553 8 of of IN 39713 5553 9 our -PRON- PRP$ 39713 5553 10 senses sense NNS 39713 5553 11 , , , 39713 5553 12 for for IN 39713 5553 13 example example NN 39713 5553 14 , , , 39713 5553 15 only only RB 39713 5553 16 the the DT 39713 5553 17 most most RBS 39713 5553 18 intense intense JJ 39713 5553 19 fix fix NN 39713 5553 20 our -PRON- PRP$ 39713 5553 21 attention attention NN 39713 5553 22 , , , 39713 5553 23 unless unless IN 39713 5553 24 it -PRON- PRP 39713 5553 25 has have VBZ 39713 5553 26 been be VBN 39713 5553 27 drawn draw VBN 39713 5553 28 to to IN 39713 5553 29 them -PRON- PRP 39713 5553 30 by by IN 39713 5553 31 other other JJ 39713 5553 32 causes cause NNS 39713 5553 33 . . . 39713 5554 1 More more RBR 39713 5554 2 generally generally RB 39713 5554 3 the the DT 39713 5554 4 privileged privileged JJ 39713 5554 5 unconscious unconscious JJ 39713 5554 6 phenomena phenomenon NNS 39713 5554 7 , , , 39713 5554 8 those those DT 39713 5554 9 susceptible susceptible JJ 39713 5554 10 of of IN 39713 5554 11 becoming become VBG 39713 5554 12 conscious conscious JJ 39713 5554 13 , , , 39713 5554 14 are be VBP 39713 5554 15 those those DT 39713 5554 16 which which WDT 39713 5554 17 , , , 39713 5554 18 directly directly RB 39713 5554 19 or or CC 39713 5554 20 indirectly indirectly RB 39713 5554 21 , , , 39713 5554 22 affect affect VB 39713 5554 23 most most RBS 39713 5554 24 profoundly profoundly RB 39713 5554 25 our -PRON- PRP$ 39713 5554 26 emotional emotional JJ 39713 5554 27 sensibility sensibility NN 39713 5554 28 . . . 39713 5555 1 It -PRON- PRP 39713 5555 2 may may MD 39713 5555 3 be be VB 39713 5555 4 surprising surprising JJ 39713 5555 5 to to TO 39713 5555 6 see see VB 39713 5555 7 emotional emotional JJ 39713 5555 8 sensibility sensibility NN 39713 5555 9 invoked invoke VBD 39713 5555 10 _ _ NNP 39713 5555 11 à à NNP 39713 5555 12 propos propos NN 39713 5555 13 _ _ NNP 39713 5555 14 of of IN 39713 5555 15 mathematical mathematical JJ 39713 5555 16 demonstrations demonstration NNS 39713 5555 17 which which WDT 39713 5555 18 , , , 39713 5555 19 it -PRON- PRP 39713 5555 20 would would MD 39713 5555 21 seem seem VB 39713 5555 22 , , , 39713 5555 23 can can MD 39713 5555 24 interest interest VB 39713 5555 25 only only RB 39713 5555 26 the the DT 39713 5555 27 intellect intellect NN 39713 5555 28 . . . 39713 5556 1 This this DT 39713 5556 2 would would MD 39713 5556 3 be be VB 39713 5556 4 to to TO 39713 5556 5 forget forget VB 39713 5556 6 the the DT 39713 5556 7 feeling feeling NN 39713 5556 8 of of IN 39713 5556 9 mathematical mathematical JJ 39713 5556 10 beauty beauty NN 39713 5556 11 , , , 39713 5556 12 of of IN 39713 5556 13 the the DT 39713 5556 14 harmony harmony NN 39713 5556 15 of of IN 39713 5556 16 numbers number NNS 39713 5556 17 and and CC 39713 5556 18 forms form NNS 39713 5556 19 , , , 39713 5556 20 of of IN 39713 5556 21 geometric geometric JJ 39713 5556 22 elegance elegance NN 39713 5556 23 . . . 39713 5557 1 This this DT 39713 5557 2 is be VBZ 39713 5557 3 a a DT 39713 5557 4 true true JJ 39713 5557 5 esthetic esthetic JJ 39713 5557 6 feeling feeling NN 39713 5557 7 that that IN 39713 5557 8 all all DT 39713 5557 9 real real JJ 39713 5557 10 mathematicians mathematician NNS 39713 5557 11 know know VBP 39713 5557 12 , , , 39713 5557 13 and and CC 39713 5557 14 surely surely RB 39713 5557 15 it -PRON- PRP 39713 5557 16 belongs belong VBZ 39713 5557 17 to to IN 39713 5557 18 emotional emotional JJ 39713 5557 19 sensibility sensibility NN 39713 5557 20 . . . 39713 5558 1 Now now RB 39713 5558 2 , , , 39713 5558 3 what what WP 39713 5558 4 are be VBP 39713 5558 5 the the DT 39713 5558 6 mathematic mathematic JJ 39713 5558 7 entities entity NNS 39713 5558 8 to to TO 39713 5558 9 which which WDT 39713 5558 10 we -PRON- PRP 39713 5558 11 attribute attribute VBP 39713 5558 12 this this DT 39713 5558 13 character character NN 39713 5558 14 of of IN 39713 5558 15 beauty beauty NN 39713 5558 16 and and CC 39713 5558 17 elegance elegance NN 39713 5558 18 , , , 39713 5558 19 and and CC 39713 5558 20 which which WDT 39713 5558 21 are be VBP 39713 5558 22 capable capable JJ 39713 5558 23 of of IN 39713 5558 24 developing develop VBG 39713 5558 25 in in IN 39713 5558 26 us -PRON- PRP 39713 5558 27 a a DT 39713 5558 28 sort sort NN 39713 5558 29 of of IN 39713 5558 30 esthetic esthetic JJ 39713 5558 31 emotion emotion NN 39713 5558 32 ? ? . 39713 5559 1 They -PRON- PRP 39713 5559 2 are be VBP 39713 5559 3 those those DT 39713 5559 4 whose whose WP$ 39713 5559 5 elements element NNS 39713 5559 6 are be VBP 39713 5559 7 harmoniously harmoniously RB 39713 5559 8 disposed disposed JJ 39713 5559 9 so so IN 39713 5559 10 that that IN 39713 5559 11 the the DT 39713 5559 12 mind mind NN 39713 5559 13 without without IN 39713 5559 14 effort effort NN 39713 5559 15 can can MD 39713 5559 16 embrace embrace VB 39713 5559 17 their -PRON- PRP$ 39713 5559 18 totality totality NN 39713 5559 19 while while IN 39713 5559 20 realizing realize VBG 39713 5559 21 the the DT 39713 5559 22 details detail NNS 39713 5559 23 . . . 39713 5560 1 This this DT 39713 5560 2 harmony harmony NN 39713 5560 3 is be VBZ 39713 5560 4 at at IN 39713 5560 5 once once RB 39713 5560 6 a a DT 39713 5560 7 satisfaction satisfaction NN 39713 5560 8 of of IN 39713 5560 9 our -PRON- PRP$ 39713 5560 10 esthetic esthetic JJ 39713 5560 11 needs need NNS 39713 5560 12 and and CC 39713 5560 13 an an DT 39713 5560 14 aid aid NN 39713 5560 15 to to IN 39713 5560 16 the the DT 39713 5560 17 mind mind NN 39713 5560 18 , , , 39713 5560 19 sustaining sustain VBG 39713 5560 20 and and CC 39713 5560 21 guiding guiding NN 39713 5560 22 ; ; : 39713 5560 23 And and CC 39713 5560 24 at at IN 39713 5560 25 the the DT 39713 5560 26 same same JJ 39713 5560 27 time time NN 39713 5560 28 , , , 39713 5560 29 in in IN 39713 5560 30 putting put VBG 39713 5560 31 under under IN 39713 5560 32 our -PRON- PRP$ 39713 5560 33 eyes eye NNS 39713 5560 34 a a DT 39713 5560 35 well well RB 39713 5560 36 - - HYPH 39713 5560 37 ordered order VBN 39713 5560 38 whole whole NN 39713 5560 39 , , , 39713 5560 40 it -PRON- PRP 39713 5560 41 makes make VBZ 39713 5560 42 us -PRON- PRP 39713 5560 43 foresee foresee VB 39713 5560 44 a a DT 39713 5560 45 mathematical mathematical JJ 39713 5560 46 law law NN 39713 5560 47 . . . 39713 5561 1 Now now RB 39713 5561 2 , , , 39713 5561 3 as as IN 39713 5561 4 we -PRON- PRP 39713 5561 5 have have VBP 39713 5561 6 said say VBN 39713 5561 7 above above RB 39713 5561 8 , , , 39713 5561 9 the the DT 39713 5561 10 only only JJ 39713 5561 11 mathematical mathematical JJ 39713 5561 12 facts fact NNS 39713 5561 13 worthy worthy JJ 39713 5561 14 of of IN 39713 5561 15 fixing fix VBG 39713 5561 16 our -PRON- PRP$ 39713 5561 17 attention attention NN 39713 5561 18 and and CC 39713 5561 19 capable capable JJ 39713 5561 20 of of IN 39713 5561 21 being be VBG 39713 5561 22 useful useful JJ 39713 5561 23 are be VBP 39713 5561 24 those those DT 39713 5561 25 which which WDT 39713 5561 26 can can MD 39713 5561 27 teach teach VB 39713 5561 28 us -PRON- PRP 39713 5561 29 a a DT 39713 5561 30 mathematical mathematical JJ 39713 5561 31 law law NN 39713 5561 32 . . . 39713 5562 1 So so IN 39713 5562 2 that that IN 39713 5562 3 we -PRON- PRP 39713 5562 4 reach reach VBP 39713 5562 5 the the DT 39713 5562 6 following follow VBG 39713 5562 7 conclusion conclusion NN 39713 5562 8 : : : 39713 5562 9 The the DT 39713 5562 10 useful useful JJ 39713 5562 11 combinations combination NNS 39713 5562 12 are be VBP 39713 5562 13 precisely precisely RB 39713 5562 14 the the DT 39713 5562 15 most most RBS 39713 5562 16 beautiful beautiful JJ 39713 5562 17 , , , 39713 5562 18 I -PRON- PRP 39713 5562 19 mean mean VBP 39713 5562 20 those those DT 39713 5562 21 best good JJS 39713 5562 22 able able JJ 39713 5562 23 to to TO 39713 5562 24 charm charm VB 39713 5562 25 this this DT 39713 5562 26 special special JJ 39713 5562 27 sensibility sensibility NN 39713 5562 28 that that WDT 39713 5562 29 all all DT 39713 5562 30 mathematicians mathematician NNS 39713 5562 31 know know VBP 39713 5562 32 , , , 39713 5562 33 but but CC 39713 5562 34 of of IN 39713 5562 35 which which WDT 39713 5562 36 the the DT 39713 5562 37 profane profane NN 39713 5562 38 are be VBP 39713 5562 39 so so RB 39713 5562 40 ignorant ignorant JJ 39713 5562 41 as as RB 39713 5562 42 often often RB 39713 5562 43 to to TO 39713 5562 44 be be VB 39713 5562 45 tempted tempt VBN 39713 5562 46 to to TO 39713 5562 47 smile smile VB 39713 5562 48 at at IN 39713 5562 49 it -PRON- PRP 39713 5562 50 . . . 39713 5563 1 What what WP 39713 5563 2 happens happen VBZ 39713 5563 3 then then RB 39713 5563 4 ? ? . 39713 5564 1 Among among IN 39713 5564 2 the the DT 39713 5564 3 great great JJ 39713 5564 4 numbers number NNS 39713 5564 5 of of IN 39713 5564 6 combinations combination NNS 39713 5564 7 blindly blindly RB 39713 5564 8 formed form VBN 39713 5564 9 by by IN 39713 5564 10 the the DT 39713 5564 11 subliminal subliminal JJ 39713 5564 12 self self NN 39713 5564 13 , , , 39713 5564 14 almost almost RB 39713 5564 15 all all DT 39713 5564 16 are be VBP 39713 5564 17 without without IN 39713 5564 18 interest interest NN 39713 5564 19 and and CC 39713 5564 20 without without IN 39713 5564 21 utility utility NN 39713 5564 22 ; ; : 39713 5564 23 but but CC 39713 5564 24 just just RB 39713 5564 25 for for IN 39713 5564 26 that that DT 39713 5564 27 reason reason NN 39713 5564 28 they -PRON- PRP 39713 5564 29 are be VBP 39713 5564 30 also also RB 39713 5564 31 without without IN 39713 5564 32 effect effect NN 39713 5564 33 upon upon IN 39713 5564 34 the the DT 39713 5564 35 esthetic esthetic JJ 39713 5564 36 sensibility sensibility NN 39713 5564 37 . . . 39713 5565 1 Consciousness consciousness NN 39713 5565 2 will will MD 39713 5565 3 never never RB 39713 5565 4 know know VB 39713 5565 5 them -PRON- PRP 39713 5565 6 ; ; : 39713 5565 7 only only RB 39713 5565 8 certain certain JJ 39713 5565 9 ones one NNS 39713 5565 10 are be VBP 39713 5565 11 harmonious harmonious JJ 39713 5565 12 , , , 39713 5565 13 and and CC 39713 5565 14 , , , 39713 5565 15 consequently consequently RB 39713 5565 16 , , , 39713 5565 17 at at IN 39713 5565 18 once once RB 39713 5565 19 useful useful JJ 39713 5565 20 and and CC 39713 5565 21 beautiful beautiful JJ 39713 5565 22 . . . 39713 5566 1 They -PRON- PRP 39713 5566 2 will will MD 39713 5566 3 be be VB 39713 5566 4 capable capable JJ 39713 5566 5 of of IN 39713 5566 6 touching touch VBG 39713 5566 7 this this DT 39713 5566 8 special special JJ 39713 5566 9 sensibility sensibility NN 39713 5566 10 of of IN 39713 5566 11 the the DT 39713 5566 12 geometer geometer NN 39713 5566 13 of of IN 39713 5566 14 which which WDT 39713 5566 15 I -PRON- PRP 39713 5566 16 have have VBP 39713 5566 17 just just RB 39713 5566 18 spoken speak VBN 39713 5566 19 , , , 39713 5566 20 and and CC 39713 5566 21 which which WDT 39713 5566 22 , , , 39713 5566 23 once once RB 39713 5566 24 aroused arouse VBD 39713 5566 25 , , , 39713 5566 26 will will MD 39713 5566 27 call call VB 39713 5566 28 our -PRON- PRP$ 39713 5566 29 attention attention NN 39713 5566 30 to to IN 39713 5566 31 them -PRON- PRP 39713 5566 32 , , , 39713 5566 33 and and CC 39713 5566 34 thus thus RB 39713 5566 35 give give VB 39713 5566 36 them -PRON- PRP 39713 5566 37 occasion occasion NN 39713 5566 38 to to TO 39713 5566 39 become become VB 39713 5566 40 conscious conscious JJ 39713 5566 41 . . . 39713 5567 1 This this DT 39713 5567 2 is be VBZ 39713 5567 3 only only RB 39713 5567 4 a a DT 39713 5567 5 hypothesis hypothesis NN 39713 5567 6 , , , 39713 5567 7 and and CC 39713 5567 8 yet yet RB 39713 5567 9 here here RB 39713 5567 10 is be VBZ 39713 5567 11 an an DT 39713 5567 12 observation observation NN 39713 5567 13 which which WDT 39713 5567 14 may may MD 39713 5567 15 confirm confirm VB 39713 5567 16 it -PRON- PRP 39713 5567 17 : : : 39713 5567 18 when when WRB 39713 5567 19 a a DT 39713 5567 20 sudden sudden JJ 39713 5567 21 illumination illumination NN 39713 5567 22 seizes seize VBZ 39713 5567 23 upon upon IN 39713 5567 24 the the DT 39713 5567 25 mind mind NN 39713 5567 26 of of IN 39713 5567 27 the the DT 39713 5567 28 mathematician mathematician NN 39713 5567 29 , , , 39713 5567 30 it -PRON- PRP 39713 5567 31 usually usually RB 39713 5567 32 happens happen VBZ 39713 5567 33 that that IN 39713 5567 34 it -PRON- PRP 39713 5567 35 does do VBZ 39713 5567 36 not not RB 39713 5567 37 deceive deceive VB 39713 5567 38 him -PRON- PRP 39713 5567 39 , , , 39713 5567 40 but but CC 39713 5567 41 it -PRON- PRP 39713 5567 42 also also RB 39713 5567 43 sometimes sometimes RB 39713 5567 44 happens happen VBZ 39713 5567 45 , , , 39713 5567 46 as as IN 39713 5567 47 I -PRON- PRP 39713 5567 48 have have VBP 39713 5567 49 said say VBD 39713 5567 50 , , , 39713 5567 51 that that IN 39713 5567 52 it -PRON- PRP 39713 5567 53 does do VBZ 39713 5567 54 not not RB 39713 5567 55 stand stand VB 39713 5567 56 the the DT 39713 5567 57 test test NN 39713 5567 58 of of IN 39713 5567 59 verification verification NN 39713 5567 60 ; ; : 39713 5567 61 well well UH 39713 5567 62 , , , 39713 5567 63 we -PRON- PRP 39713 5567 64 almost almost RB 39713 5567 65 always always RB 39713 5567 66 notice notice VBP 39713 5567 67 that that IN 39713 5567 68 this this DT 39713 5567 69 false false JJ 39713 5567 70 idea idea NN 39713 5567 71 , , , 39713 5567 72 had have VBD 39713 5567 73 it -PRON- PRP 39713 5567 74 been be VBN 39713 5567 75 true true JJ 39713 5567 76 , , , 39713 5567 77 would would MD 39713 5567 78 have have VB 39713 5567 79 gratified gratify VBN 39713 5567 80 our -PRON- PRP$ 39713 5567 81 natural natural JJ 39713 5567 82 feeling feeling NN 39713 5567 83 for for IN 39713 5567 84 mathematical mathematical JJ 39713 5567 85 elegance elegance NN 39713 5567 86 . . . 39713 5568 1 Thus thus RB 39713 5568 2 it -PRON- PRP 39713 5568 3 is be VBZ 39713 5568 4 this this DT 39713 5568 5 special special JJ 39713 5568 6 esthetic esthetic JJ 39713 5568 7 sensibility sensibility NN 39713 5568 8 which which WDT 39713 5568 9 plays play VBZ 39713 5568 10 the the DT 39713 5568 11 rôle rôle NN 39713 5568 12 of of IN 39713 5568 13 the the DT 39713 5568 14 delicate delicate JJ 39713 5568 15 sieve sieve NN 39713 5568 16 of of IN 39713 5568 17 which which WDT 39713 5568 18 I -PRON- PRP 39713 5568 19 spoke speak VBD 39713 5568 20 , , , 39713 5568 21 and and CC 39713 5568 22 that that IN 39713 5568 23 sufficiently sufficiently RB 39713 5568 24 explains explain VBZ 39713 5568 25 why why WRB 39713 5568 26 the the DT 39713 5568 27 one one NN 39713 5568 28 lacking lack VBG 39713 5568 29 it -PRON- PRP 39713 5568 30 will will MD 39713 5568 31 never never RB 39713 5568 32 be be VB 39713 5568 33 a a DT 39713 5568 34 real real JJ 39713 5568 35 creator creator NN 39713 5568 36 . . . 39713 5569 1 Yet yet RB 39713 5569 2 all all PDT 39713 5569 3 the the DT 39713 5569 4 difficulties difficulty NNS 39713 5569 5 have have VBP 39713 5569 6 not not RB 39713 5569 7 disappeared disappear VBN 39713 5569 8 . . . 39713 5570 1 The the DT 39713 5570 2 conscious conscious JJ 39713 5570 3 self self NN 39713 5570 4 is be VBZ 39713 5570 5 narrowly narrowly RB 39713 5570 6 limited limited JJ 39713 5570 7 , , , 39713 5570 8 and and CC 39713 5570 9 as as IN 39713 5570 10 for for IN 39713 5570 11 the the DT 39713 5570 12 subliminal subliminal JJ 39713 5570 13 self self NN 39713 5570 14 we -PRON- PRP 39713 5570 15 know know VBP 39713 5570 16 not not RB 39713 5570 17 its -PRON- PRP$ 39713 5570 18 limitations limitation NNS 39713 5570 19 , , , 39713 5570 20 and and CC 39713 5570 21 this this DT 39713 5570 22 is be VBZ 39713 5570 23 why why WRB 39713 5570 24 we -PRON- PRP 39713 5570 25 are be VBP 39713 5570 26 not not RB 39713 5570 27 too too RB 39713 5570 28 reluctant reluctant JJ 39713 5570 29 in in IN 39713 5570 30 supposing suppose VBG 39713 5570 31 that that IN 39713 5570 32 it -PRON- PRP 39713 5570 33 has have VBZ 39713 5570 34 been be VBN 39713 5570 35 able able JJ 39713 5570 36 in in IN 39713 5570 37 a a DT 39713 5570 38 short short JJ 39713 5570 39 time time NN 39713 5570 40 to to TO 39713 5570 41 make make VB 39713 5570 42 more more RBR 39713 5570 43 different different JJ 39713 5570 44 combinations combination NNS 39713 5570 45 than than IN 39713 5570 46 the the DT 39713 5570 47 whole whole JJ 39713 5570 48 life life NN 39713 5570 49 of of IN 39713 5570 50 a a DT 39713 5570 51 conscious conscious JJ 39713 5570 52 being be VBG 39713 5570 53 could could MD 39713 5570 54 encompass encompass VB 39713 5570 55 . . . 39713 5571 1 Yet yet CC 39713 5571 2 these these DT 39713 5571 3 limitations limitation NNS 39713 5571 4 exist exist VBP 39713 5571 5 . . . 39713 5572 1 Is be VBZ 39713 5572 2 it -PRON- PRP 39713 5572 3 likely likely JJ 39713 5572 4 that that IN 39713 5572 5 it -PRON- PRP 39713 5572 6 is be VBZ 39713 5572 7 able able JJ 39713 5572 8 to to TO 39713 5572 9 form form VB 39713 5572 10 all all PDT 39713 5572 11 the the DT 39713 5572 12 possible possible JJ 39713 5572 13 combinations combination NNS 39713 5572 14 , , , 39713 5572 15 whose whose WP$ 39713 5572 16 number number NN 39713 5572 17 would would MD 39713 5572 18 frighten frighten VB 39713 5572 19 the the DT 39713 5572 20 imagination imagination NN 39713 5572 21 ? ? . 39713 5573 1 Nevertheless nevertheless RB 39713 5573 2 that that DT 39713 5573 3 would would MD 39713 5573 4 seem seem VB 39713 5573 5 necessary necessary JJ 39713 5573 6 , , , 39713 5573 7 because because IN 39713 5573 8 if if IN 39713 5573 9 it -PRON- PRP 39713 5573 10 produces produce VBZ 39713 5573 11 only only RB 39713 5573 12 a a DT 39713 5573 13 small small JJ 39713 5573 14 part part NN 39713 5573 15 of of IN 39713 5573 16 these these DT 39713 5573 17 combinations combination NNS 39713 5573 18 , , , 39713 5573 19 and and CC 39713 5573 20 if if IN 39713 5573 21 it -PRON- PRP 39713 5573 22 makes make VBZ 39713 5573 23 them -PRON- PRP 39713 5573 24 at at IN 39713 5573 25 random random JJ 39713 5573 26 , , , 39713 5573 27 there there EX 39713 5573 28 would would MD 39713 5573 29 be be VB 39713 5573 30 small small JJ 39713 5573 31 chance chance NN 39713 5573 32 that that IN 39713 5573 33 the the DT 39713 5573 34 _ _ NNP 39713 5573 35 good good JJ 39713 5573 36 _ _ NNP 39713 5573 37 , , , 39713 5573 38 the the DT 39713 5573 39 one one NN 39713 5573 40 we -PRON- PRP 39713 5573 41 should should MD 39713 5573 42 choose choose VB 39713 5573 43 , , , 39713 5573 44 would would MD 39713 5573 45 be be VB 39713 5573 46 found find VBN 39713 5573 47 among among IN 39713 5573 48 them -PRON- PRP 39713 5573 49 . . . 39713 5574 1 Perhaps perhaps RB 39713 5574 2 we -PRON- PRP 39713 5574 3 ought ought MD 39713 5574 4 to to TO 39713 5574 5 seek seek VB 39713 5574 6 the the DT 39713 5574 7 explanation explanation NN 39713 5574 8 in in IN 39713 5574 9 that that DT 39713 5574 10 preliminary preliminary JJ 39713 5574 11 period period NN 39713 5574 12 of of IN 39713 5574 13 conscious conscious JJ 39713 5574 14 work work NN 39713 5574 15 which which WDT 39713 5574 16 always always RB 39713 5574 17 precedes precede VBZ 39713 5574 18 all all DT 39713 5574 19 fruitful fruitful JJ 39713 5574 20 unconscious unconscious JJ 39713 5574 21 labor labor NN 39713 5574 22 . . . 39713 5575 1 Permit permit VB 39713 5575 2 me -PRON- PRP 39713 5575 3 a a DT 39713 5575 4 rough rough JJ 39713 5575 5 comparison comparison NN 39713 5575 6 . . . 39713 5576 1 Figure figure VB 39713 5576 2 the the DT 39713 5576 3 future future JJ 39713 5576 4 elements element NNS 39713 5576 5 of of IN 39713 5576 6 our -PRON- PRP$ 39713 5576 7 combinations combination NNS 39713 5576 8 as as IN 39713 5576 9 something something NN 39713 5576 10 like like IN 39713 5576 11 the the DT 39713 5576 12 hooked hooked JJ 39713 5576 13 atoms atom NNS 39713 5576 14 of of IN 39713 5576 15 Epicurus Epicurus NNP 39713 5576 16 . . . 39713 5577 1 During during IN 39713 5577 2 the the DT 39713 5577 3 complete complete JJ 39713 5577 4 repose repose NN 39713 5577 5 of of IN 39713 5577 6 the the DT 39713 5577 7 mind mind NN 39713 5577 8 , , , 39713 5577 9 these these DT 39713 5577 10 atoms atom NNS 39713 5577 11 are be VBP 39713 5577 12 motionless motionless JJ 39713 5577 13 , , , 39713 5577 14 they -PRON- PRP 39713 5577 15 are be VBP 39713 5577 16 , , , 39713 5577 17 so so RB 39713 5577 18 to to TO 39713 5577 19 speak speak VB 39713 5577 20 , , , 39713 5577 21 hooked hook VBN 39713 5577 22 to to IN 39713 5577 23 the the DT 39713 5577 24 wall wall NN 39713 5577 25 ; ; : 39713 5577 26 so so CC 39713 5577 27 this this DT 39713 5577 28 complete complete JJ 39713 5577 29 rest rest NN 39713 5577 30 may may MD 39713 5577 31 be be VB 39713 5577 32 indefinitely indefinitely RB 39713 5577 33 prolonged prolong VBN 39713 5577 34 without without IN 39713 5577 35 the the DT 39713 5577 36 atoms atom NNS 39713 5577 37 meeting meeting NN 39713 5577 38 , , , 39713 5577 39 and and CC 39713 5577 40 consequently consequently RB 39713 5577 41 without without IN 39713 5577 42 any any DT 39713 5577 43 combination combination NN 39713 5577 44 between between IN 39713 5577 45 them -PRON- PRP 39713 5577 46 . . . 39713 5578 1 On on IN 39713 5578 2 the the DT 39713 5578 3 other other JJ 39713 5578 4 hand hand NN 39713 5578 5 , , , 39713 5578 6 during during IN 39713 5578 7 a a DT 39713 5578 8 period period NN 39713 5578 9 of of IN 39713 5578 10 apparent apparent JJ 39713 5578 11 rest rest NN 39713 5578 12 and and CC 39713 5578 13 unconscious unconscious JJ 39713 5578 14 work work NN 39713 5578 15 , , , 39713 5578 16 certain certain JJ 39713 5578 17 of of IN 39713 5578 18 them -PRON- PRP 39713 5578 19 are be VBP 39713 5578 20 detached detach VBN 39713 5578 21 from from IN 39713 5578 22 the the DT 39713 5578 23 wall wall NN 39713 5578 24 and and CC 39713 5578 25 put put VBD 39713 5578 26 in in IN 39713 5578 27 motion motion NN 39713 5578 28 . . . 39713 5579 1 They -PRON- PRP 39713 5579 2 flash flash VBP 39713 5579 3 in in IN 39713 5579 4 every every DT 39713 5579 5 direction direction NN 39713 5579 6 through through IN 39713 5579 7 the the DT 39713 5579 8 space space NN 39713 5579 9 ( ( -LRB- 39713 5579 10 I -PRON- PRP 39713 5579 11 was be VBD 39713 5579 12 about about JJ 39713 5579 13 to to TO 39713 5579 14 say say VB 39713 5579 15 the the DT 39713 5579 16 room room NN 39713 5579 17 ) ) -RRB- 39713 5579 18 where where WRB 39713 5579 19 they -PRON- PRP 39713 5579 20 are be VBP 39713 5579 21 enclosed enclose VBN 39713 5579 22 , , , 39713 5579 23 as as IN 39713 5579 24 would would MD 39713 5579 25 , , , 39713 5579 26 for for IN 39713 5579 27 example example NN 39713 5579 28 , , , 39713 5579 29 a a DT 39713 5579 30 swarm swarm NN 39713 5579 31 of of IN 39713 5579 32 gnats gnat NNS 39713 5579 33 or or CC 39713 5579 34 , , , 39713 5579 35 if if IN 39713 5579 36 you -PRON- PRP 39713 5579 37 prefer prefer VBP 39713 5579 38 a a DT 39713 5579 39 more more RBR 39713 5579 40 learned learned JJ 39713 5579 41 comparison comparison NN 39713 5579 42 , , , 39713 5579 43 like like IN 39713 5579 44 the the DT 39713 5579 45 molecules molecule NNS 39713 5579 46 of of IN 39713 5579 47 gas gas NN 39713 5579 48 in in IN 39713 5579 49 the the DT 39713 5579 50 kinematic kinematic JJ 39713 5579 51 theory theory NN 39713 5579 52 of of IN 39713 5579 53 gases gas NNS 39713 5579 54 . . . 39713 5580 1 Then then RB 39713 5580 2 their -PRON- PRP$ 39713 5580 3 mutual mutual JJ 39713 5580 4 impacts impact NNS 39713 5580 5 may may MD 39713 5580 6 produce produce VB 39713 5580 7 new new JJ 39713 5580 8 combinations combination NNS 39713 5580 9 . . . 39713 5581 1 What what WP 39713 5581 2 is be VBZ 39713 5581 3 the the DT 39713 5581 4 rôle rôle NN 39713 5581 5 of of IN 39713 5581 6 the the DT 39713 5581 7 preliminary preliminary JJ 39713 5581 8 conscious conscious JJ 39713 5581 9 work work NN 39713 5581 10 ? ? . 39713 5582 1 It -PRON- PRP 39713 5582 2 is be VBZ 39713 5582 3 evidently evidently RB 39713 5582 4 to to TO 39713 5582 5 mobilize mobilize VB 39713 5582 6 certain certain JJ 39713 5582 7 of of IN 39713 5582 8 these these DT 39713 5582 9 atoms atom NNS 39713 5582 10 , , , 39713 5582 11 to to TO 39713 5582 12 unhook unhook VB 39713 5582 13 them -PRON- PRP 39713 5582 14 from from IN 39713 5582 15 the the DT 39713 5582 16 wall wall NN 39713 5582 17 and and CC 39713 5582 18 put put VBD 39713 5582 19 them -PRON- PRP 39713 5582 20 in in IN 39713 5582 21 swing swing NN 39713 5582 22 . . . 39713 5583 1 We -PRON- PRP 39713 5583 2 think think VBP 39713 5583 3 we -PRON- PRP 39713 5583 4 have have VBP 39713 5583 5 done do VBN 39713 5583 6 no no DT 39713 5583 7 good good NN 39713 5583 8 , , , 39713 5583 9 because because IN 39713 5583 10 we -PRON- PRP 39713 5583 11 have have VBP 39713 5583 12 moved move VBN 39713 5583 13 these these DT 39713 5583 14 elements element NNS 39713 5583 15 a a DT 39713 5583 16 thousand thousand CD 39713 5583 17 different different JJ 39713 5583 18 ways way NNS 39713 5583 19 in in IN 39713 5583 20 seeking seek VBG 39713 5583 21 to to TO 39713 5583 22 assemble assemble VB 39713 5583 23 them -PRON- PRP 39713 5583 24 , , , 39713 5583 25 and and CC 39713 5583 26 have have VBP 39713 5583 27 found find VBN 39713 5583 28 no no DT 39713 5583 29 satisfactory satisfactory JJ 39713 5583 30 aggregate aggregate NN 39713 5583 31 . . . 39713 5584 1 But but CC 39713 5584 2 , , , 39713 5584 3 after after IN 39713 5584 4 this this DT 39713 5584 5 shaking shake VBG 39713 5584 6 up up RP 39713 5584 7 imposed impose VBN 39713 5584 8 upon upon IN 39713 5584 9 them -PRON- PRP 39713 5584 10 by by IN 39713 5584 11 our -PRON- PRP$ 39713 5584 12 will will NN 39713 5584 13 , , , 39713 5584 14 these these DT 39713 5584 15 atoms atom NNS 39713 5584 16 do do VBP 39713 5584 17 not not RB 39713 5584 18 return return VB 39713 5584 19 to to IN 39713 5584 20 their -PRON- PRP$ 39713 5584 21 primitive primitive JJ 39713 5584 22 rest rest NN 39713 5584 23 . . . 39713 5585 1 They -PRON- PRP 39713 5585 2 freely freely RB 39713 5585 3 continue continue VBP 39713 5585 4 their -PRON- PRP$ 39713 5585 5 dance dance NN 39713 5585 6 . . . 39713 5586 1 Now now RB 39713 5586 2 , , , 39713 5586 3 our -PRON- PRP$ 39713 5586 4 will will NN 39713 5586 5 did do VBD 39713 5586 6 not not RB 39713 5586 7 choose choose VB 39713 5586 8 them -PRON- PRP 39713 5586 9 at at IN 39713 5586 10 random random JJ 39713 5586 11 ; ; : 39713 5586 12 it -PRON- PRP 39713 5586 13 pursued pursue VBD 39713 5586 14 a a DT 39713 5586 15 perfectly perfectly RB 39713 5586 16 determined determine VBN 39713 5586 17 aim aim NN 39713 5586 18 . . . 39713 5587 1 The the DT 39713 5587 2 mobilized mobilize VBN 39713 5587 3 atoms atom NNS 39713 5587 4 are be VBP 39713 5587 5 therefore therefore RB 39713 5587 6 not not RB 39713 5587 7 any any DT 39713 5587 8 atoms atom NNS 39713 5587 9 whatsoever whatsoever RB 39713 5587 10 ; ; : 39713 5587 11 they -PRON- PRP 39713 5587 12 are be VBP 39713 5587 13 those those DT 39713 5587 14 from from IN 39713 5587 15 which which WDT 39713 5587 16 we -PRON- PRP 39713 5587 17 might may MD 39713 5587 18 reasonably reasonably RB 39713 5587 19 expect expect VB 39713 5587 20 the the DT 39713 5587 21 desired desire VBN 39713 5587 22 solution solution NN 39713 5587 23 . . . 39713 5588 1 Then then RB 39713 5588 2 the the DT 39713 5588 3 mobilized mobilize VBN 39713 5588 4 atoms atom NNS 39713 5588 5 undergo undergo VBP 39713 5588 6 impacts impact NNS 39713 5588 7 which which WDT 39713 5588 8 make make VBP 39713 5588 9 them -PRON- PRP 39713 5588 10 enter enter VB 39713 5588 11 into into IN 39713 5588 12 combinations combination NNS 39713 5588 13 among among IN 39713 5588 14 themselves -PRON- PRP 39713 5588 15 or or CC 39713 5588 16 with with IN 39713 5588 17 other other JJ 39713 5588 18 atoms atom NNS 39713 5588 19 at at IN 39713 5588 20 rest rest NN 39713 5588 21 which which WDT 39713 5588 22 they -PRON- PRP 39713 5588 23 struck strike VBD 39713 5588 24 against against IN 39713 5588 25 in in IN 39713 5588 26 their -PRON- PRP$ 39713 5588 27 course course NN 39713 5588 28 . . . 39713 5589 1 Again again RB 39713 5589 2 I -PRON- PRP 39713 5589 3 beg beg VBP 39713 5589 4 pardon pardon NNP 39713 5589 5 , , , 39713 5589 6 my -PRON- PRP$ 39713 5589 7 comparison comparison NN 39713 5589 8 is be VBZ 39713 5589 9 very very RB 39713 5589 10 rough rough JJ 39713 5589 11 , , , 39713 5589 12 but but CC 39713 5589 13 I -PRON- PRP 39713 5589 14 scarcely scarcely RB 39713 5589 15 know know VBP 39713 5589 16 how how WRB 39713 5589 17 otherwise otherwise RB 39713 5589 18 to to TO 39713 5589 19 make make VB 39713 5589 20 my -PRON- PRP$ 39713 5589 21 thought thought NN 39713 5589 22 understood understand VBD 39713 5589 23 . . . 39713 5590 1 However however RB 39713 5590 2 it -PRON- PRP 39713 5590 3 may may MD 39713 5590 4 be be VB 39713 5590 5 , , , 39713 5590 6 the the DT 39713 5590 7 only only JJ 39713 5590 8 combinations combination NNS 39713 5590 9 that that WDT 39713 5590 10 have have VBP 39713 5590 11 a a DT 39713 5590 12 chance chance NN 39713 5590 13 of of IN 39713 5590 14 forming form VBG 39713 5590 15 are be VBP 39713 5590 16 those those DT 39713 5590 17 where where WRB 39713 5590 18 at at RB 39713 5590 19 least least JJS 39713 5590 20 one one CD 39713 5590 21 of of IN 39713 5590 22 the the DT 39713 5590 23 elements element NNS 39713 5590 24 is be VBZ 39713 5590 25 one one CD 39713 5590 26 of of IN 39713 5590 27 those those DT 39713 5590 28 atoms atom NNS 39713 5590 29 freely freely RB 39713 5590 30 chosen choose VBN 39713 5590 31 by by IN 39713 5590 32 our -PRON- PRP$ 39713 5590 33 will will NN 39713 5590 34 . . . 39713 5591 1 Now now RB 39713 5591 2 , , , 39713 5591 3 it -PRON- PRP 39713 5591 4 is be VBZ 39713 5591 5 evidently evidently RB 39713 5591 6 among among IN 39713 5591 7 these these DT 39713 5591 8 that that WDT 39713 5591 9 is be VBZ 39713 5591 10 found find VBN 39713 5591 11 what what WP 39713 5591 12 I -PRON- PRP 39713 5591 13 called call VBD 39713 5591 14 the the DT 39713 5591 15 _ _ NNP 39713 5591 16 good good JJ 39713 5591 17 combination combination NN 39713 5591 18 _ _ NNP 39713 5591 19 . . . 39713 5592 1 Perhaps perhaps RB 39713 5592 2 this this DT 39713 5592 3 is be VBZ 39713 5592 4 a a DT 39713 5592 5 way way NN 39713 5592 6 of of IN 39713 5592 7 lessening lessen VBG 39713 5592 8 the the DT 39713 5592 9 paradoxical paradoxical JJ 39713 5592 10 in in IN 39713 5592 11 the the DT 39713 5592 12 original original JJ 39713 5592 13 hypothesis hypothesis NN 39713 5592 14 . . . 39713 5593 1 Another another DT 39713 5593 2 observation observation NN 39713 5593 3 . . . 39713 5594 1 It -PRON- PRP 39713 5594 2 never never RB 39713 5594 3 happens happen VBZ 39713 5594 4 that that IN 39713 5594 5 the the DT 39713 5594 6 unconscious unconscious JJ 39713 5594 7 work work NN 39713 5594 8 gives give VBZ 39713 5594 9 us -PRON- PRP 39713 5594 10 the the DT 39713 5594 11 result result NN 39713 5594 12 of of IN 39713 5594 13 a a DT 39713 5594 14 somewhat somewhat RB 39713 5594 15 long long JJ 39713 5594 16 calculation calculation NN 39713 5594 17 _ _ NNP 39713 5594 18 all all DT 39713 5594 19 made make VBN 39713 5594 20 _ _ NNP 39713 5594 21 , , , 39713 5594 22 where where WRB 39713 5594 23 we -PRON- PRP 39713 5594 24 have have VBP 39713 5594 25 only only RB 39713 5594 26 to to TO 39713 5594 27 apply apply VB 39713 5594 28 fixed fix VBN 39713 5594 29 rules rule NNS 39713 5594 30 . . . 39713 5595 1 We -PRON- PRP 39713 5595 2 might may MD 39713 5595 3 think think VB 39713 5595 4 the the DT 39713 5595 5 wholly wholly RB 39713 5595 6 automatic automatic JJ 39713 5595 7 subliminal subliminal JJ 39713 5595 8 self self NN 39713 5595 9 particularly particularly RB 39713 5595 10 apt apt JJ 39713 5595 11 for for IN 39713 5595 12 this this DT 39713 5595 13 sort sort NN 39713 5595 14 of of IN 39713 5595 15 work work NN 39713 5595 16 , , , 39713 5595 17 which which WDT 39713 5595 18 is be VBZ 39713 5595 19 in in IN 39713 5595 20 a a DT 39713 5595 21 way way NN 39713 5595 22 exclusively exclusively RB 39713 5595 23 mechanical mechanical JJ 39713 5595 24 . . . 39713 5596 1 It -PRON- PRP 39713 5596 2 seems seem VBZ 39713 5596 3 that that IN 39713 5596 4 thinking think VBG 39713 5596 5 in in IN 39713 5596 6 the the DT 39713 5596 7 evening evening NN 39713 5596 8 upon upon IN 39713 5596 9 the the DT 39713 5596 10 factors factor NNS 39713 5596 11 of of IN 39713 5596 12 a a DT 39713 5596 13 multiplication multiplication NN 39713 5596 14 we -PRON- PRP 39713 5596 15 might may MD 39713 5596 16 hope hope VB 39713 5596 17 to to TO 39713 5596 18 find find VB 39713 5596 19 the the DT 39713 5596 20 product product NN 39713 5596 21 ready ready JJ 39713 5596 22 made make VBN 39713 5596 23 upon upon IN 39713 5596 24 our -PRON- PRP$ 39713 5596 25 awakening awakening NN 39713 5596 26 , , , 39713 5596 27 or or CC 39713 5596 28 again again RB 39713 5596 29 that that IN 39713 5596 30 an an DT 39713 5596 31 algebraic algebraic JJ 39713 5596 32 calculation calculation NN 39713 5596 33 , , , 39713 5596 34 for for IN 39713 5596 35 example example NN 39713 5596 36 a a DT 39713 5596 37 verification verification NN 39713 5596 38 , , , 39713 5596 39 would would MD 39713 5596 40 be be VB 39713 5596 41 made make VBN 39713 5596 42 unconsciously unconsciously RB 39713 5596 43 . . . 39713 5597 1 Nothing nothing NN 39713 5597 2 of of IN 39713 5597 3 the the DT 39713 5597 4 sort sort NN 39713 5597 5 , , , 39713 5597 6 as as IN 39713 5597 7 observation observation NN 39713 5597 8 proves prove VBZ 39713 5597 9 . . . 39713 5598 1 All all DT 39713 5598 2 one one NN 39713 5598 3 may may MD 39713 5598 4 hope hope VB 39713 5598 5 from from IN 39713 5598 6 these these DT 39713 5598 7 inspirations inspiration NNS 39713 5598 8 , , , 39713 5598 9 fruits fruit NNS 39713 5598 10 of of IN 39713 5598 11 unconscious unconscious JJ 39713 5598 12 work work NN 39713 5598 13 , , , 39713 5598 14 is be VBZ 39713 5598 15 a a DT 39713 5598 16 point point NN 39713 5598 17 of of IN 39713 5598 18 departure departure NN 39713 5598 19 for for IN 39713 5598 20 such such JJ 39713 5598 21 calculations calculation NNS 39713 5598 22 . . . 39713 5599 1 As as IN 39713 5599 2 for for IN 39713 5599 3 the the DT 39713 5599 4 calculations calculation NNS 39713 5599 5 themselves -PRON- PRP 39713 5599 6 , , , 39713 5599 7 they -PRON- PRP 39713 5599 8 must must MD 39713 5599 9 be be VB 39713 5599 10 made make VBN 39713 5599 11 in in IN 39713 5599 12 the the DT 39713 5599 13 second second JJ 39713 5599 14 period period NN 39713 5599 15 of of IN 39713 5599 16 conscious conscious JJ 39713 5599 17 work work NN 39713 5599 18 , , , 39713 5599 19 that that WDT 39713 5599 20 which which WDT 39713 5599 21 follows follow VBZ 39713 5599 22 the the DT 39713 5599 23 inspiration inspiration NN 39713 5599 24 , , , 39713 5599 25 that that IN 39713 5599 26 in in IN 39713 5599 27 which which WDT 39713 5599 28 one one NN 39713 5599 29 verifies verify VBZ 39713 5599 30 the the DT 39713 5599 31 results result NNS 39713 5599 32 of of IN 39713 5599 33 this this DT 39713 5599 34 inspiration inspiration NN 39713 5599 35 and and CC 39713 5599 36 deduces deduce VBZ 39713 5599 37 their -PRON- PRP$ 39713 5599 38 consequences consequence NNS 39713 5599 39 . . . 39713 5600 1 The the DT 39713 5600 2 rules rule NNS 39713 5600 3 of of IN 39713 5600 4 these these DT 39713 5600 5 calculations calculation NNS 39713 5600 6 are be VBP 39713 5600 7 strict strict JJ 39713 5600 8 and and CC 39713 5600 9 complicated complicated JJ 39713 5600 10 . . . 39713 5601 1 They -PRON- PRP 39713 5601 2 require require VBP 39713 5601 3 discipline discipline NN 39713 5601 4 , , , 39713 5601 5 attention attention NN 39713 5601 6 , , , 39713 5601 7 will will MD 39713 5601 8 , , , 39713 5601 9 and and CC 39713 5601 10 therefore therefore RB 39713 5601 11 consciousness consciousness NN 39713 5601 12 . . . 39713 5602 1 In in IN 39713 5602 2 the the DT 39713 5602 3 subliminal subliminal JJ 39713 5602 4 self self NN 39713 5602 5 , , , 39713 5602 6 on on IN 39713 5602 7 the the DT 39713 5602 8 contrary contrary NN 39713 5602 9 , , , 39713 5602 10 reigns reign VBZ 39713 5602 11 what what WP 39713 5602 12 I -PRON- PRP 39713 5602 13 should should MD 39713 5602 14 call call VB 39713 5602 15 liberty liberty NN 39713 5602 16 , , , 39713 5602 17 if if IN 39713 5602 18 we -PRON- PRP 39713 5602 19 might may MD 39713 5602 20 give give VB 39713 5602 21 this this DT 39713 5602 22 name name NN 39713 5602 23 to to IN 39713 5602 24 the the DT 39713 5602 25 simple simple JJ 39713 5602 26 absence absence NN 39713 5602 27 of of IN 39713 5602 28 discipline discipline NN 39713 5602 29 and and CC 39713 5602 30 to to IN 39713 5602 31 the the DT 39713 5602 32 disorder disorder NN 39713 5602 33 born bear VBN 39713 5602 34 of of IN 39713 5602 35 chance chance NN 39713 5602 36 . . . 39713 5603 1 Only only RB 39713 5603 2 , , , 39713 5603 3 this this DT 39713 5603 4 disorder disorder NN 39713 5603 5 itself -PRON- PRP 39713 5603 6 permits permit VBZ 39713 5603 7 unexpected unexpected JJ 39713 5603 8 combinations combination NNS 39713 5603 9 . . . 39713 5604 1 I -PRON- PRP 39713 5604 2 shall shall MD 39713 5604 3 make make VB 39713 5604 4 a a DT 39713 5604 5 last last JJ 39713 5604 6 remark remark NN 39713 5604 7 : : : 39713 5604 8 when when WRB 39713 5604 9 above above RB 39713 5604 10 I -PRON- PRP 39713 5604 11 made make VBD 39713 5604 12 certain certain JJ 39713 5604 13 personal personal JJ 39713 5604 14 observations observation NNS 39713 5604 15 , , , 39713 5604 16 I -PRON- PRP 39713 5604 17 spoke speak VBD 39713 5604 18 of of IN 39713 5604 19 a a DT 39713 5604 20 night night NN 39713 5604 21 of of IN 39713 5604 22 excitement excitement NN 39713 5604 23 when when WRB 39713 5604 24 I -PRON- PRP 39713 5604 25 worked work VBD 39713 5604 26 in in IN 39713 5604 27 spite spite NN 39713 5604 28 of of IN 39713 5604 29 myself -PRON- PRP 39713 5604 30 . . . 39713 5605 1 Such such JJ 39713 5605 2 cases case NNS 39713 5605 3 are be VBP 39713 5605 4 frequent frequent JJ 39713 5605 5 , , , 39713 5605 6 and and CC 39713 5605 7 it -PRON- PRP 39713 5605 8 is be VBZ 39713 5605 9 not not RB 39713 5605 10 necessary necessary JJ 39713 5605 11 that that IN 39713 5605 12 the the DT 39713 5605 13 abnormal abnormal JJ 39713 5605 14 cerebral cerebral JJ 39713 5605 15 activity activity NN 39713 5605 16 be be VB 39713 5605 17 caused cause VBN 39713 5605 18 by by IN 39713 5605 19 a a DT 39713 5605 20 physical physical JJ 39713 5605 21 excitant excitant NN 39713 5605 22 as as IN 39713 5605 23 in in IN 39713 5605 24 that that DT 39713 5605 25 I -PRON- PRP 39713 5605 26 mentioned mention VBD 39713 5605 27 . . . 39713 5606 1 It -PRON- PRP 39713 5606 2 seems seem VBZ 39713 5606 3 , , , 39713 5606 4 in in IN 39713 5606 5 such such JJ 39713 5606 6 cases case NNS 39713 5606 7 , , , 39713 5606 8 that that IN 39713 5606 9 one one NN 39713 5606 10 is be VBZ 39713 5606 11 present present JJ 39713 5606 12 at at IN 39713 5606 13 his -PRON- PRP$ 39713 5606 14 own own JJ 39713 5606 15 unconscious unconscious JJ 39713 5606 16 work work NN 39713 5606 17 , , , 39713 5606 18 made make VBN 39713 5606 19 partially partially RB 39713 5606 20 perceptible perceptible JJ 39713 5606 21 to to IN 39713 5606 22 the the DT 39713 5606 23 over over RB 39713 5606 24 - - HYPH 39713 5606 25 excited excited JJ 39713 5606 26 consciousness consciousness NN 39713 5606 27 , , , 39713 5606 28 yet yet CC 39713 5606 29 without without IN 39713 5606 30 having have VBG 39713 5606 31 changed change VBN 39713 5606 32 its -PRON- PRP$ 39713 5606 33 nature nature NN 39713 5606 34 . . . 39713 5607 1 Then then RB 39713 5607 2 we -PRON- PRP 39713 5607 3 vaguely vaguely RB 39713 5607 4 comprehend comprehend VBP 39713 5607 5 what what WP 39713 5607 6 distinguishes distinguish VBZ 39713 5607 7 the the DT 39713 5607 8 two two CD 39713 5607 9 mechanisms mechanism NNS 39713 5607 10 or or CC 39713 5607 11 , , , 39713 5607 12 if if IN 39713 5607 13 you -PRON- PRP 39713 5607 14 wish wish VBP 39713 5607 15 , , , 39713 5607 16 the the DT 39713 5607 17 working work VBG 39713 5607 18 methods method NNS 39713 5607 19 of of IN 39713 5607 20 the the DT 39713 5607 21 two two CD 39713 5607 22 egos ego NNS 39713 5607 23 . . . 39713 5608 1 And and CC 39713 5608 2 the the DT 39713 5608 3 psychologic psychologic JJ 39713 5608 4 observations observation NNS 39713 5608 5 I -PRON- PRP 39713 5608 6 have have VBP 39713 5608 7 been be VBN 39713 5608 8 able able JJ 39713 5608 9 thus thus RB 39713 5608 10 to to TO 39713 5608 11 make make VB 39713 5608 12 seem seem VB 39713 5608 13 to to IN 39713 5608 14 me -PRON- PRP 39713 5608 15 to to TO 39713 5608 16 confirm confirm VB 39713 5608 17 in in IN 39713 5608 18 their -PRON- PRP$ 39713 5608 19 general general JJ 39713 5608 20 outlines outline VBZ 39713 5608 21 the the DT 39713 5608 22 views view NNS 39713 5608 23 I -PRON- PRP 39713 5608 24 have have VBP 39713 5608 25 given give VBN 39713 5608 26 . . . 39713 5609 1 Surely surely RB 39713 5609 2 they -PRON- PRP 39713 5609 3 have have VBP 39713 5609 4 need need NN 39713 5609 5 of of IN 39713 5609 6 it -PRON- PRP 39713 5609 7 , , , 39713 5609 8 for for IN 39713 5609 9 they -PRON- PRP 39713 5609 10 are be VBP 39713 5609 11 and and CC 39713 5609 12 remain remain VBP 39713 5609 13 in in IN 39713 5609 14 spite spite NN 39713 5609 15 of of IN 39713 5609 16 all all DT 39713 5609 17 very very RB 39713 5609 18 hypothetical hypothetical JJ 39713 5609 19 : : : 39713 5609 20 the the DT 39713 5609 21 interest interest NN 39713 5609 22 of of IN 39713 5609 23 the the DT 39713 5609 24 questions question NNS 39713 5609 25 is be VBZ 39713 5609 26 so so RB 39713 5609 27 great great JJ 39713 5609 28 that that IN 39713 5609 29 I -PRON- PRP 39713 5609 30 do do VBP 39713 5609 31 not not RB 39713 5609 32 repent repent VB 39713 5609 33 of of IN 39713 5609 34 having have VBG 39713 5609 35 submitted submit VBN 39713 5609 36 them -PRON- PRP 39713 5609 37 to to IN 39713 5609 38 the the DT 39713 5609 39 reader reader NN 39713 5609 40 . . . 39713 5610 1 CHAPTER CHAPTER NNP 39713 5610 2 IV IV NNP 39713 5610 3 CHANCE CHANCE NNP 39713 5610 4 I -PRON- PRP 39713 5610 5 " " `` 39713 5610 6 How how WRB 39713 5610 7 dare dare VBP 39713 5610 8 we -PRON- PRP 39713 5610 9 speak speak VB 39713 5610 10 of of IN 39713 5610 11 the the DT 39713 5610 12 laws law NNS 39713 5610 13 of of IN 39713 5610 14 chance chance NN 39713 5610 15 ? ? . 39713 5611 1 Is be VBZ 39713 5611 2 not not RB 39713 5611 3 chance chance VB 39713 5611 4 the the DT 39713 5611 5 antithesis antithesis NN 39713 5611 6 of of IN 39713 5611 7 all all DT 39713 5611 8 law law NN 39713 5611 9 ? ? . 39713 5611 10 " " '' 39713 5612 1 So so RB 39713 5612 2 says say VBZ 39713 5612 3 Bertrand Bertrand NNP 39713 5612 4 at at IN 39713 5612 5 the the DT 39713 5612 6 beginning beginning NN 39713 5612 7 of of IN 39713 5612 8 his -PRON- PRP$ 39713 5612 9 _ _ NNP 39713 5612 10 Calcul Calcul NNP 39713 5612 11 des des NNP 39713 5612 12 probabiltités probabiltités NN 39713 5612 13 _ _ NNP 39713 5612 14 . . . 39713 5613 1 Probability probability NN 39713 5613 2 is be VBZ 39713 5613 3 opposed oppose VBN 39713 5613 4 to to TO 39713 5613 5 certitude certitude VB 39713 5613 6 ; ; : 39713 5613 7 so so CC 39713 5613 8 it -PRON- PRP 39713 5613 9 is be VBZ 39713 5613 10 what what WP 39713 5613 11 we -PRON- PRP 39713 5613 12 do do VBP 39713 5613 13 not not RB 39713 5613 14 know know VB 39713 5613 15 and and CC 39713 5613 16 consequently consequently RB 39713 5613 17 it -PRON- PRP 39713 5613 18 seems seem VBZ 39713 5613 19 what what WP 39713 5613 20 we -PRON- PRP 39713 5613 21 could could MD 39713 5613 22 not not RB 39713 5613 23 calculate calculate VB 39713 5613 24 . . . 39713 5614 1 Here here RB 39713 5614 2 is be VBZ 39713 5614 3 at at IN 39713 5614 4 least least JJS 39713 5614 5 apparently apparently RB 39713 5614 6 a a DT 39713 5614 7 contradiction contradiction NN 39713 5614 8 , , , 39713 5614 9 and and CC 39713 5614 10 about about IN 39713 5614 11 it -PRON- PRP 39713 5614 12 much much JJ 39713 5614 13 has have VBZ 39713 5614 14 already already RB 39713 5614 15 been be VBN 39713 5614 16 written write VBN 39713 5614 17 . . . 39713 5615 1 And and CC 39713 5615 2 first first RB 39713 5615 3 , , , 39713 5615 4 what what WP 39713 5615 5 is be VBZ 39713 5615 6 chance chance NN 39713 5615 7 ? ? . 39713 5616 1 The the DT 39713 5616 2 ancients ancient NNS 39713 5616 3 distinguished distinguish VBD 39713 5616 4 between between IN 39713 5616 5 phenomena phenomenon NNS 39713 5616 6 seemingly seemingly RB 39713 5616 7 obeying obey VBG 39713 5616 8 harmonious harmonious JJ 39713 5616 9 laws law NNS 39713 5616 10 , , , 39713 5616 11 established establish VBN 39713 5616 12 once once RB 39713 5616 13 for for IN 39713 5616 14 all all DT 39713 5616 15 , , , 39713 5616 16 and and CC 39713 5616 17 those those DT 39713 5616 18 which which WDT 39713 5616 19 they -PRON- PRP 39713 5616 20 attributed attribute VBD 39713 5616 21 to to IN 39713 5616 22 chance chance NN 39713 5616 23 ; ; : 39713 5616 24 these these DT 39713 5616 25 were be VBD 39713 5616 26 the the DT 39713 5616 27 ones one NNS 39713 5616 28 unpredictable unpredictable JJ 39713 5616 29 because because IN 39713 5616 30 rebellious rebellious JJ 39713 5616 31 to to IN 39713 5616 32 all all DT 39713 5616 33 law law NN 39713 5616 34 . . . 39713 5617 1 In in IN 39713 5617 2 each each DT 39713 5617 3 domain domain NN 39713 5617 4 the the DT 39713 5617 5 precise precise JJ 39713 5617 6 laws law NNS 39713 5617 7 did do VBD 39713 5617 8 not not RB 39713 5617 9 decide decide VB 39713 5617 10 everything everything NN 39713 5617 11 , , , 39713 5617 12 they -PRON- PRP 39713 5617 13 only only RB 39713 5617 14 drew draw VBD 39713 5617 15 limits limit NNS 39713 5617 16 between between IN 39713 5617 17 which which WDT 39713 5617 18 chance chance NN 39713 5617 19 might may MD 39713 5617 20 act act VB 39713 5617 21 . . . 39713 5618 1 In in IN 39713 5618 2 this this DT 39713 5618 3 conception conception NN 39713 5618 4 the the DT 39713 5618 5 word word NN 39713 5618 6 chance chance NN 39713 5618 7 had have VBD 39713 5618 8 a a DT 39713 5618 9 precise precise JJ 39713 5618 10 and and CC 39713 5618 11 objective objective JJ 39713 5618 12 meaning meaning NN 39713 5618 13 ; ; : 39713 5618 14 what what WP 39713 5618 15 was be VBD 39713 5618 16 chance chance NN 39713 5618 17 for for IN 39713 5618 18 one one CD 39713 5618 19 was be VBD 39713 5618 20 also also RB 39713 5618 21 chance chance NN 39713 5618 22 for for IN 39713 5618 23 another another DT 39713 5618 24 and and CC 39713 5618 25 even even RB 39713 5618 26 for for IN 39713 5618 27 the the DT 39713 5618 28 gods god NNS 39713 5618 29 . . . 39713 5619 1 But but CC 39713 5619 2 this this DT 39713 5619 3 conception conception NN 39713 5619 4 is be VBZ 39713 5619 5 not not RB 39713 5619 6 ours our NNS 39713 5619 7 to to IN 39713 5619 8 - - HYPH 39713 5619 9 day day NN 39713 5619 10 . . . 39713 5620 1 We -PRON- PRP 39713 5620 2 have have VBP 39713 5620 3 become become VBN 39713 5620 4 absolute absolute JJ 39713 5620 5 determinists determinist NNS 39713 5620 6 , , , 39713 5620 7 and and CC 39713 5620 8 even even RB 39713 5620 9 those those DT 39713 5620 10 who who WP 39713 5620 11 want want VBP 39713 5620 12 to to TO 39713 5620 13 reserve reserve VB 39713 5620 14 the the DT 39713 5620 15 rights right NNS 39713 5620 16 of of IN 39713 5620 17 human human JJ 39713 5620 18 free free JJ 39713 5620 19 will will MD 39713 5620 20 let let VB 39713 5620 21 determinism determinism NN 39713 5620 22 reign reign VB 39713 5620 23 undividedly undividedly RB 39713 5620 24 in in IN 39713 5620 25 the the DT 39713 5620 26 inorganic inorganic JJ 39713 5620 27 world world NN 39713 5620 28 at at IN 39713 5620 29 least least JJS 39713 5620 30 . . . 39713 5621 1 Every every DT 39713 5621 2 phenomenon phenomenon NN 39713 5621 3 , , , 39713 5621 4 however however RB 39713 5621 5 minute minute NN 39713 5621 6 , , , 39713 5621 7 has have VBZ 39713 5621 8 a a DT 39713 5621 9 cause cause NN 39713 5621 10 ; ; : 39713 5621 11 and and CC 39713 5621 12 a a DT 39713 5621 13 mind mind NN 39713 5621 14 infinitely infinitely RB 39713 5621 15 powerful powerful JJ 39713 5621 16 , , , 39713 5621 17 infinitely infinitely RB 39713 5621 18 well well RB 39713 5621 19 - - HYPH 39713 5621 20 informed inform VBN 39713 5621 21 about about IN 39713 5621 22 the the DT 39713 5621 23 laws law NNS 39713 5621 24 of of IN 39713 5621 25 nature nature NN 39713 5621 26 , , , 39713 5621 27 could could MD 39713 5621 28 have have VB 39713 5621 29 foreseen foresee VBN 39713 5621 30 it -PRON- PRP 39713 5621 31 from from IN 39713 5621 32 the the DT 39713 5621 33 beginning beginning NN 39713 5621 34 of of IN 39713 5621 35 the the DT 39713 5621 36 centuries century NNS 39713 5621 37 . . . 39713 5622 1 If if IN 39713 5622 2 such such PDT 39713 5622 3 a a DT 39713 5622 4 mind mind NN 39713 5622 5 existed exist VBD 39713 5622 6 , , , 39713 5622 7 we -PRON- PRP 39713 5622 8 could could MD 39713 5622 9 not not RB 39713 5622 10 play play VB 39713 5622 11 with with IN 39713 5622 12 it -PRON- PRP 39713 5622 13 at at IN 39713 5622 14 any any DT 39713 5622 15 game game NN 39713 5622 16 of of IN 39713 5622 17 chance chance NN 39713 5622 18 ; ; : 39713 5622 19 we -PRON- PRP 39713 5622 20 should should MD 39713 5622 21 always always RB 39713 5622 22 lose lose VB 39713 5622 23 . . . 39713 5623 1 In in IN 39713 5623 2 fact fact NN 39713 5623 3 for for IN 39713 5623 4 it -PRON- PRP 39713 5623 5 the the DT 39713 5623 6 word word NN 39713 5623 7 chance chance NN 39713 5623 8 would would MD 39713 5623 9 not not RB 39713 5623 10 have have VB 39713 5623 11 any any DT 39713 5623 12 meaning meaning NN 39713 5623 13 , , , 39713 5623 14 or or CC 39713 5623 15 rather rather RB 39713 5623 16 there there EX 39713 5623 17 would would MD 39713 5623 18 be be VB 39713 5623 19 no no DT 39713 5623 20 chance chance NN 39713 5623 21 . . . 39713 5624 1 It -PRON- PRP 39713 5624 2 is be VBZ 39713 5624 3 because because IN 39713 5624 4 of of IN 39713 5624 5 our -PRON- PRP$ 39713 5624 6 weakness weakness NN 39713 5624 7 and and CC 39713 5624 8 our -PRON- PRP$ 39713 5624 9 ignorance ignorance NN 39713 5624 10 that that IN 39713 5624 11 the the DT 39713 5624 12 word word NN 39713 5624 13 has have VBZ 39713 5624 14 a a DT 39713 5624 15 meaning meaning NN 39713 5624 16 for for IN 39713 5624 17 us -PRON- PRP 39713 5624 18 . . . 39713 5625 1 And and CC 39713 5625 2 , , , 39713 5625 3 even even RB 39713 5625 4 without without IN 39713 5625 5 going go VBG 39713 5625 6 beyond beyond IN 39713 5625 7 our -PRON- PRP$ 39713 5625 8 feeble feeble JJ 39713 5625 9 humanity humanity NN 39713 5625 10 , , , 39713 5625 11 what what WP 39713 5625 12 is be VBZ 39713 5625 13 chance chance NN 39713 5625 14 for for IN 39713 5625 15 the the DT 39713 5625 16 ignorant ignorant NN 39713 5625 17 is be VBZ 39713 5625 18 not not RB 39713 5625 19 chance chance NN 39713 5625 20 for for IN 39713 5625 21 the the DT 39713 5625 22 scientist scientist NN 39713 5625 23 . . . 39713 5626 1 Chance chance NN 39713 5626 2 is be VBZ 39713 5626 3 only only RB 39713 5626 4 the the DT 39713 5626 5 measure measure NN 39713 5626 6 of of IN 39713 5626 7 our -PRON- PRP$ 39713 5626 8 ignorance ignorance NN 39713 5626 9 . . . 39713 5627 1 Fortuitous fortuitous JJ 39713 5627 2 phenomena phenomenon NNS 39713 5627 3 are be VBP 39713 5627 4 , , , 39713 5627 5 by by IN 39713 5627 6 definition definition NN 39713 5627 7 , , , 39713 5627 8 those those DT 39713 5627 9 whose whose WP$ 39713 5627 10 laws law NNS 39713 5627 11 we -PRON- PRP 39713 5627 12 do do VBP 39713 5627 13 not not RB 39713 5627 14 know know VB 39713 5627 15 . . . 39713 5628 1 But but CC 39713 5628 2 is be VBZ 39713 5628 3 this this DT 39713 5628 4 definition definition NN 39713 5628 5 altogether altogether RB 39713 5628 6 satisfactory satisfactory JJ 39713 5628 7 ? ? . 39713 5629 1 When when WRB 39713 5629 2 the the DT 39713 5629 3 first first JJ 39713 5629 4 Chaldean chaldean JJ 39713 5629 5 shepherds shepherd NNS 39713 5629 6 followed follow VBD 39713 5629 7 with with IN 39713 5629 8 their -PRON- PRP$ 39713 5629 9 eyes eye NNS 39713 5629 10 the the DT 39713 5629 11 movements movement NNS 39713 5629 12 of of IN 39713 5629 13 the the DT 39713 5629 14 stars star NNS 39713 5629 15 , , , 39713 5629 16 they -PRON- PRP 39713 5629 17 knew know VBD 39713 5629 18 not not RB 39713 5629 19 as as RB 39713 5629 20 yet yet RB 39713 5629 21 the the DT 39713 5629 22 laws law NNS 39713 5629 23 of of IN 39713 5629 24 astronomy astronomy NN 39713 5629 25 ; ; : 39713 5629 26 would would MD 39713 5629 27 they -PRON- PRP 39713 5629 28 have have VB 39713 5629 29 dreamed dream VBN 39713 5629 30 of of IN 39713 5629 31 saying say VBG 39713 5629 32 that that IN 39713 5629 33 the the DT 39713 5629 34 stars star NNS 39713 5629 35 move move VBP 39713 5629 36 at at IN 39713 5629 37 random random JJ 39713 5629 38 ? ? . 39713 5630 1 If if IN 39713 5630 2 a a DT 39713 5630 3 modern modern JJ 39713 5630 4 physicist physicist JJ 39713 5630 5 studies study NNS 39713 5630 6 a a DT 39713 5630 7 new new JJ 39713 5630 8 phenomenon phenomenon NN 39713 5630 9 , , , 39713 5630 10 and and CC 39713 5630 11 if if IN 39713 5630 12 he -PRON- PRP 39713 5630 13 discovers discover VBZ 39713 5630 14 its -PRON- PRP$ 39713 5630 15 law law NN 39713 5630 16 Tuesday Tuesday NNP 39713 5630 17 , , , 39713 5630 18 would would MD 39713 5630 19 he -PRON- PRP 39713 5630 20 have have VB 39713 5630 21 said say VBD 39713 5630 22 Monday Monday NNP 39713 5630 23 that that IN 39713 5630 24 this this DT 39713 5630 25 phenomenon phenomenon NN 39713 5630 26 was be VBD 39713 5630 27 fortuitous fortuitous JJ 39713 5630 28 ? ? . 39713 5631 1 Moreover moreover RB 39713 5631 2 , , , 39713 5631 3 do do VBP 39713 5631 4 we -PRON- PRP 39713 5631 5 not not RB 39713 5631 6 often often RB 39713 5631 7 invoke invoke VB 39713 5631 8 what what WP 39713 5631 9 Bertrand Bertrand NNP 39713 5631 10 calls call VBZ 39713 5631 11 the the DT 39713 5631 12 laws law NNS 39713 5631 13 of of IN 39713 5631 14 chance chance NN 39713 5631 15 , , , 39713 5631 16 to to TO 39713 5631 17 predict predict VB 39713 5631 18 a a DT 39713 5631 19 phenomenon phenomenon NN 39713 5631 20 ? ? . 39713 5632 1 For for IN 39713 5632 2 example example NN 39713 5632 3 , , , 39713 5632 4 in in IN 39713 5632 5 the the DT 39713 5632 6 kinetic kinetic JJ 39713 5632 7 theory theory NN 39713 5632 8 of of IN 39713 5632 9 gases gas NNS 39713 5632 10 we -PRON- PRP 39713 5632 11 obtain obtain VBP 39713 5632 12 the the DT 39713 5632 13 known know VBN 39713 5632 14 laws law NNS 39713 5632 15 of of IN 39713 5632 16 Mariotte Mariotte NNP 39713 5632 17 and and CC 39713 5632 18 of of IN 39713 5632 19 Gay Gay NNP 39713 5632 20 - - HYPH 39713 5632 21 Lussac Lussac NNP 39713 5632 22 by by IN 39713 5632 23 means mean NNS 39713 5632 24 of of IN 39713 5632 25 the the DT 39713 5632 26 hypothesis hypothesis NN 39713 5632 27 that that WDT 39713 5632 28 the the DT 39713 5632 29 velocities velocity NNS 39713 5632 30 of of IN 39713 5632 31 the the DT 39713 5632 32 molecules molecule NNS 39713 5632 33 of of IN 39713 5632 34 gas gas NN 39713 5632 35 vary vary VBP 39713 5632 36 irregularly irregularly RB 39713 5632 37 , , , 39713 5632 38 that that DT 39713 5632 39 is be VBZ 39713 5632 40 to to TO 39713 5632 41 say say VB 39713 5632 42 at at IN 39713 5632 43 random random JJ 39713 5632 44 . . . 39713 5633 1 All all DT 39713 5633 2 physicists physicist NNS 39713 5633 3 will will MD 39713 5633 4 agree agree VB 39713 5633 5 that that IN 39713 5633 6 the the DT 39713 5633 7 observable observable JJ 39713 5633 8 laws law NNS 39713 5633 9 would would MD 39713 5633 10 be be VB 39713 5633 11 much much RB 39713 5633 12 less less RBR 39713 5633 13 simple simple JJ 39713 5633 14 if if IN 39713 5633 15 the the DT 39713 5633 16 velocities velocity NNS 39713 5633 17 were be VBD 39713 5633 18 ruled rule VBN 39713 5633 19 by by IN 39713 5633 20 any any DT 39713 5633 21 simple simple JJ 39713 5633 22 elementary elementary JJ 39713 5633 23 law law NN 39713 5633 24 whatsoever whatsoever RB 39713 5633 25 , , , 39713 5633 26 if if IN 39713 5633 27 the the DT 39713 5633 28 molecules molecule NNS 39713 5633 29 were be VBD 39713 5633 30 , , , 39713 5633 31 as as IN 39713 5633 32 we -PRON- PRP 39713 5633 33 say say VBP 39713 5633 34 , , , 39713 5633 35 _ _ NNP 39713 5633 36 organized organize VBD 39713 5633 37 _ _ NNP 39713 5633 38 , , , 39713 5633 39 if if IN 39713 5633 40 they -PRON- PRP 39713 5633 41 were be VBD 39713 5633 42 subject subject JJ 39713 5633 43 to to IN 39713 5633 44 some some DT 39713 5633 45 discipline discipline NN 39713 5633 46 . . . 39713 5634 1 It -PRON- PRP 39713 5634 2 is be VBZ 39713 5634 3 due due JJ 39713 5634 4 to to IN 39713 5634 5 chance chance NN 39713 5634 6 , , , 39713 5634 7 that that DT 39713 5634 8 is be VBZ 39713 5634 9 to to TO 39713 5634 10 say say VB 39713 5634 11 , , , 39713 5634 12 to to IN 39713 5634 13 our -PRON- PRP$ 39713 5634 14 ignorance ignorance NN 39713 5634 15 , , , 39713 5634 16 that that IN 39713 5634 17 we -PRON- PRP 39713 5634 18 can can MD 39713 5634 19 draw draw VB 39713 5634 20 our -PRON- PRP$ 39713 5634 21 conclusions conclusion NNS 39713 5634 22 ; ; : 39713 5634 23 and and CC 39713 5634 24 then then RB 39713 5634 25 if if IN 39713 5634 26 the the DT 39713 5634 27 word word NN 39713 5634 28 chance chance NN 39713 5634 29 is be VBZ 39713 5634 30 simply simply RB 39713 5634 31 synonymous synonymous JJ 39713 5634 32 with with IN 39713 5634 33 ignorance ignorance NN 39713 5634 34 what what WP 39713 5634 35 does do VBZ 39713 5634 36 that that DT 39713 5634 37 mean mean VB 39713 5634 38 ? ? . 39713 5635 1 Must Must MD 39713 5635 2 we -PRON- PRP 39713 5635 3 therefore therefore RB 39713 5635 4 translate translate VB 39713 5635 5 as as IN 39713 5635 6 follows follow VBZ 39713 5635 7 ? ? . 39713 5636 1 " " `` 39713 5636 2 You -PRON- PRP 39713 5636 3 ask ask VBP 39713 5636 4 me -PRON- PRP 39713 5636 5 to to TO 39713 5636 6 predict predict VB 39713 5636 7 for for IN 39713 5636 8 you -PRON- PRP 39713 5636 9 the the DT 39713 5636 10 phenomena phenomenon NNS 39713 5636 11 about about IN 39713 5636 12 to to TO 39713 5636 13 happen happen VB 39713 5636 14 . . . 39713 5637 1 If if IN 39713 5637 2 , , , 39713 5637 3 unluckily unluckily JJ 39713 5637 4 , , , 39713 5637 5 I -PRON- PRP 39713 5637 6 knew know VBD 39713 5637 7 the the DT 39713 5637 8 laws law NNS 39713 5637 9 of of IN 39713 5637 10 these these DT 39713 5637 11 phenomena phenomenon NNS 39713 5637 12 I -PRON- PRP 39713 5637 13 could could MD 39713 5637 14 make make VB 39713 5637 15 the the DT 39713 5637 16 prediction prediction NN 39713 5637 17 only only RB 39713 5637 18 by by IN 39713 5637 19 inextricable inextricable JJ 39713 5637 20 calculations calculation NNS 39713 5637 21 and and CC 39713 5637 22 would would MD 39713 5637 23 have have VB 39713 5637 24 to to TO 39713 5637 25 renounce renounce VB 39713 5637 26 attempting attempt VBG 39713 5637 27 to to TO 39713 5637 28 answer answer VB 39713 5637 29 you -PRON- PRP 39713 5637 30 ; ; : 39713 5637 31 but but CC 39713 5637 32 as as IN 39713 5637 33 I -PRON- PRP 39713 5637 34 have have VBP 39713 5637 35 the the DT 39713 5637 36 good good JJ 39713 5637 37 fortune fortune NN 39713 5637 38 not not RB 39713 5637 39 to to TO 39713 5637 40 know know VB 39713 5637 41 them -PRON- PRP 39713 5637 42 , , , 39713 5637 43 I -PRON- PRP 39713 5637 44 will will MD 39713 5637 45 answer answer VB 39713 5637 46 you -PRON- PRP 39713 5637 47 at at IN 39713 5637 48 once once RB 39713 5637 49 . . . 39713 5638 1 And and CC 39713 5638 2 what what WP 39713 5638 3 is be VBZ 39713 5638 4 most most RBS 39713 5638 5 surprising surprising JJ 39713 5638 6 , , , 39713 5638 7 my -PRON- PRP$ 39713 5638 8 answer answer NN 39713 5638 9 will will MD 39713 5638 10 be be VB 39713 5638 11 right right JJ 39713 5638 12 . . . 39713 5638 13 " " '' 39713 5639 1 So so RB 39713 5639 2 it -PRON- PRP 39713 5639 3 must must MD 39713 5639 4 well well RB 39713 5639 5 be be VB 39713 5639 6 that that DT 39713 5639 7 chance chance NN 39713 5639 8 is be VBZ 39713 5639 9 something something NN 39713 5639 10 other other JJ 39713 5639 11 than than IN 39713 5639 12 the the DT 39713 5639 13 name name NN 39713 5639 14 we -PRON- PRP 39713 5639 15 give give VBP 39713 5639 16 our -PRON- PRP$ 39713 5639 17 ignorance ignorance NN 39713 5639 18 , , , 39713 5639 19 that that IN 39713 5639 20 among among IN 39713 5639 21 phenomena phenomenon NNS 39713 5639 22 whose whose WP$ 39713 5639 23 causes cause NNS 39713 5639 24 are be VBP 39713 5639 25 unknown unknown JJ 39713 5639 26 to to IN 39713 5639 27 us -PRON- PRP 39713 5639 28 we -PRON- PRP 39713 5639 29 must must MD 39713 5639 30 distinguish distinguish VB 39713 5639 31 fortuitous fortuitous JJ 39713 5639 32 phenomena phenomenon NNS 39713 5639 33 about about IN 39713 5639 34 which which WDT 39713 5639 35 the the DT 39713 5639 36 calculus calculus NN 39713 5639 37 of of IN 39713 5639 38 probabilities probability NNS 39713 5639 39 will will MD 39713 5639 40 provisionally provisionally RB 39713 5639 41 give give VB 39713 5639 42 information information NN 39713 5639 43 , , , 39713 5639 44 from from IN 39713 5639 45 those those DT 39713 5639 46 which which WDT 39713 5639 47 are be VBP 39713 5639 48 not not RB 39713 5639 49 fortuitous fortuitous JJ 39713 5639 50 and and CC 39713 5639 51 of of IN 39713 5639 52 which which WDT 39713 5639 53 we -PRON- PRP 39713 5639 54 can can MD 39713 5639 55 say say VB 39713 5639 56 nothing nothing NN 39713 5639 57 so so RB 39713 5639 58 long long RB 39713 5639 59 as as IN 39713 5639 60 we -PRON- PRP 39713 5639 61 shall shall MD 39713 5639 62 not not RB 39713 5639 63 have have VB 39713 5639 64 determined determine VBN 39713 5639 65 the the DT 39713 5639 66 laws law NNS 39713 5639 67 governing govern VBG 39713 5639 68 them -PRON- PRP 39713 5639 69 . . . 39713 5640 1 For for IN 39713 5640 2 the the DT 39713 5640 3 fortuitous fortuitous JJ 39713 5640 4 phenomena phenomenon NNS 39713 5640 5 themselves -PRON- PRP 39713 5640 6 , , , 39713 5640 7 it -PRON- PRP 39713 5640 8 is be VBZ 39713 5640 9 clear clear JJ 39713 5640 10 that that IN 39713 5640 11 the the DT 39713 5640 12 information information NN 39713 5640 13 given give VBN 39713 5640 14 us -PRON- PRP 39713 5640 15 by by IN 39713 5640 16 the the DT 39713 5640 17 calculus calculus NN 39713 5640 18 of of IN 39713 5640 19 probabilities probability NNS 39713 5640 20 will will MD 39713 5640 21 not not RB 39713 5640 22 cease cease VB 39713 5640 23 to to TO 39713 5640 24 be be VB 39713 5640 25 true true JJ 39713 5640 26 upon upon IN 39713 5640 27 the the DT 39713 5640 28 day day NN 39713 5640 29 when when WRB 39713 5640 30 these these DT 39713 5640 31 phenomena phenomenon NNS 39713 5640 32 shall shall MD 39713 5640 33 be be VB 39713 5640 34 better well RBR 39713 5640 35 known know VBN 39713 5640 36 . . . 39713 5641 1 The the DT 39713 5641 2 director director NN 39713 5641 3 of of IN 39713 5641 4 a a DT 39713 5641 5 life life NN 39713 5641 6 insurance insurance NN 39713 5641 7 company company NN 39713 5641 8 does do VBZ 39713 5641 9 not not RB 39713 5641 10 know know VB 39713 5641 11 when when WRB 39713 5641 12 each each DT 39713 5641 13 of of IN 39713 5641 14 the the DT 39713 5641 15 insured insure VBN 39713 5641 16 will will MD 39713 5641 17 die die VB 39713 5641 18 , , , 39713 5641 19 but but CC 39713 5641 20 he -PRON- PRP 39713 5641 21 relies rely VBZ 39713 5641 22 upon upon IN 39713 5641 23 the the DT 39713 5641 24 calculus calculus NN 39713 5641 25 of of IN 39713 5641 26 probabilities probability NNS 39713 5641 27 and and CC 39713 5641 28 on on IN 39713 5641 29 the the DT 39713 5641 30 law law NN 39713 5641 31 of of IN 39713 5641 32 great great JJ 39713 5641 33 numbers number NNS 39713 5641 34 , , , 39713 5641 35 and and CC 39713 5641 36 he -PRON- PRP 39713 5641 37 is be VBZ 39713 5641 38 not not RB 39713 5641 39 deceived deceive VBN 39713 5641 40 , , , 39713 5641 41 since since IN 39713 5641 42 he -PRON- PRP 39713 5641 43 distributes distribute VBZ 39713 5641 44 dividends dividend NNS 39713 5641 45 to to IN 39713 5641 46 his -PRON- PRP$ 39713 5641 47 stockholders stockholder NNS 39713 5641 48 . . . 39713 5642 1 These these DT 39713 5642 2 dividends dividend NNS 39713 5642 3 would would MD 39713 5642 4 not not RB 39713 5642 5 vanish vanish VB 39713 5642 6 if if IN 39713 5642 7 a a DT 39713 5642 8 very very JJ 39713 5642 9 penetrating penetrating NN 39713 5642 10 and and CC 39713 5642 11 very very RB 39713 5642 12 indiscreet indiscreet JJ 39713 5642 13 physician physician NN 39713 5642 14 should should MD 39713 5642 15 , , , 39713 5642 16 after after IN 39713 5642 17 the the DT 39713 5642 18 policies policy NNS 39713 5642 19 were be VBD 39713 5642 20 signed sign VBN 39713 5642 21 , , , 39713 5642 22 reveal reveal VB 39713 5642 23 to to IN 39713 5642 24 the the DT 39713 5642 25 director director NN 39713 5642 26 the the DT 39713 5642 27 life life NN 39713 5642 28 chances chance NNS 39713 5642 29 of of IN 39713 5642 30 the the DT 39713 5642 31 insured insure VBN 39713 5642 32 . . . 39713 5643 1 This this DT 39713 5643 2 doctor doctor NN 39713 5643 3 would would MD 39713 5643 4 dissipate dissipate VB 39713 5643 5 the the DT 39713 5643 6 ignorance ignorance NN 39713 5643 7 of of IN 39713 5643 8 the the DT 39713 5643 9 director director NN 39713 5643 10 , , , 39713 5643 11 but but CC 39713 5643 12 he -PRON- PRP 39713 5643 13 would would MD 39713 5643 14 have have VB 39713 5643 15 no no DT 39713 5643 16 influence influence NN 39713 5643 17 on on IN 39713 5643 18 the the DT 39713 5643 19 dividends dividend NNS 39713 5643 20 , , , 39713 5643 21 which which WDT 39713 5643 22 evidently evidently RB 39713 5643 23 are be VBP 39713 5643 24 not not RB 39713 5643 25 an an DT 39713 5643 26 outcome outcome NN 39713 5643 27 of of IN 39713 5643 28 this this DT 39713 5643 29 ignorance ignorance NN 39713 5643 30 . . . 39713 5644 1 II ii CD 39713 5644 2 To to TO 39713 5644 3 find find VB 39713 5644 4 a a DT 39713 5644 5 better well JJR 39713 5644 6 definition definition NN 39713 5644 7 of of IN 39713 5644 8 chance chance NN 39713 5644 9 we -PRON- PRP 39713 5644 10 must must MD 39713 5644 11 examine examine VB 39713 5644 12 some some DT 39713 5644 13 of of IN 39713 5644 14 the the DT 39713 5644 15 facts fact NNS 39713 5644 16 which which WDT 39713 5644 17 we -PRON- PRP 39713 5644 18 agree agree VBP 39713 5644 19 to to TO 39713 5644 20 regard regard VB 39713 5644 21 as as IN 39713 5644 22 fortuitous fortuitous JJ 39713 5644 23 , , , 39713 5644 24 and and CC 39713 5644 25 to to TO 39713 5644 26 which which WDT 39713 5644 27 the the DT 39713 5644 28 calculus calculus NN 39713 5644 29 of of IN 39713 5644 30 probabilities probability NNS 39713 5644 31 seems seem VBZ 39713 5644 32 to to TO 39713 5644 33 apply apply VB 39713 5644 34 ; ; : 39713 5644 35 we -PRON- PRP 39713 5644 36 then then RB 39713 5644 37 shall shall MD 39713 5644 38 investigate investigate VB 39713 5644 39 what what WP 39713 5644 40 are be VBP 39713 5644 41 their -PRON- PRP$ 39713 5644 42 common common JJ 39713 5644 43 characteristics characteristic NNS 39713 5644 44 . . . 39713 5645 1 The the DT 39713 5645 2 first first JJ 39713 5645 3 example example NN 39713 5645 4 we -PRON- PRP 39713 5645 5 select select VBP 39713 5645 6 is be VBZ 39713 5645 7 that that DT 39713 5645 8 of of IN 39713 5645 9 unstable unstable JJ 39713 5645 10 equilibrium equilibrium NN 39713 5645 11 ; ; : 39713 5645 12 if if IN 39713 5645 13 a a DT 39713 5645 14 cone cone NN 39713 5645 15 rests rest VBZ 39713 5645 16 upon upon IN 39713 5645 17 its -PRON- PRP$ 39713 5645 18 apex apex NN 39713 5645 19 , , , 39713 5645 20 we -PRON- PRP 39713 5645 21 know know VBP 39713 5645 22 well well RB 39713 5645 23 that that IN 39713 5645 24 it -PRON- PRP 39713 5645 25 will will MD 39713 5645 26 fall fall VB 39713 5645 27 , , , 39713 5645 28 but but CC 39713 5645 29 we -PRON- PRP 39713 5645 30 do do VBP 39713 5645 31 not not RB 39713 5645 32 know know VB 39713 5645 33 toward toward IN 39713 5645 34 what what WDT 39713 5645 35 side side NN 39713 5645 36 ; ; : 39713 5645 37 it -PRON- PRP 39713 5645 38 seems seem VBZ 39713 5645 39 to to IN 39713 5645 40 us -PRON- PRP 39713 5645 41 chance chance NN 39713 5645 42 alone alone RB 39713 5645 43 will will MD 39713 5645 44 decide decide VB 39713 5645 45 . . . 39713 5646 1 If if IN 39713 5646 2 the the DT 39713 5646 3 cone cone NN 39713 5646 4 were be VBD 39713 5646 5 perfectly perfectly RB 39713 5646 6 symmetric symmetric JJ 39713 5646 7 , , , 39713 5646 8 if if IN 39713 5646 9 its -PRON- PRP$ 39713 5646 10 axis axi NNS 39713 5646 11 were be VBD 39713 5646 12 perfectly perfectly RB 39713 5646 13 vertical vertical JJ 39713 5646 14 , , , 39713 5646 15 if if IN 39713 5646 16 it -PRON- PRP 39713 5646 17 were be VBD 39713 5646 18 acted act VBN 39713 5646 19 upon upon IN 39713 5646 20 by by IN 39713 5646 21 no no DT 39713 5646 22 force force NN 39713 5646 23 other other JJ 39713 5646 24 than than IN 39713 5646 25 gravity gravity NN 39713 5646 26 , , , 39713 5646 27 it -PRON- PRP 39713 5646 28 would would MD 39713 5646 29 not not RB 39713 5646 30 fall fall VB 39713 5646 31 at at RB 39713 5646 32 all all RB 39713 5646 33 . . . 39713 5647 1 But but CC 39713 5647 2 the the DT 39713 5647 3 least least JJS 39713 5647 4 defect defect NN 39713 5647 5 in in IN 39713 5647 6 symmetry symmetry NN 39713 5647 7 will will MD 39713 5647 8 make make VB 39713 5647 9 it -PRON- PRP 39713 5647 10 lean lean VB 39713 5647 11 slightly slightly RB 39713 5647 12 toward toward IN 39713 5647 13 one one CD 39713 5647 14 side side NN 39713 5647 15 or or CC 39713 5647 16 the the DT 39713 5647 17 other other JJ 39713 5647 18 , , , 39713 5647 19 and and CC 39713 5647 20 if if IN 39713 5647 21 it -PRON- PRP 39713 5647 22 leans lean VBZ 39713 5647 23 , , , 39713 5647 24 however however RB 39713 5647 25 little little JJ 39713 5647 26 , , , 39713 5647 27 it -PRON- PRP 39713 5647 28 will will MD 39713 5647 29 fall fall VB 39713 5647 30 altogether altogether RB 39713 5647 31 toward toward IN 39713 5647 32 that that DT 39713 5647 33 side side NN 39713 5647 34 . . . 39713 5648 1 Even even RB 39713 5648 2 if if IN 39713 5648 3 the the DT 39713 5648 4 symmetry symmetry NN 39713 5648 5 were be VBD 39713 5648 6 perfect perfect JJ 39713 5648 7 , , , 39713 5648 8 a a DT 39713 5648 9 very very RB 39713 5648 10 slight slight JJ 39713 5648 11 tremor tremor NN 39713 5648 12 , , , 39713 5648 13 a a DT 39713 5648 14 breath breath NN 39713 5648 15 of of IN 39713 5648 16 air air NN 39713 5648 17 could could MD 39713 5648 18 make make VB 39713 5648 19 it -PRON- PRP 39713 5648 20 incline incline VB 39713 5648 21 some some DT 39713 5648 22 seconds second NNS 39713 5648 23 of of IN 39713 5648 24 arc arc NN 39713 5648 25 ; ; : 39713 5648 26 this this DT 39713 5648 27 will will MD 39713 5648 28 be be VB 39713 5648 29 enough enough JJ 39713 5648 30 to to TO 39713 5648 31 determine determine VB 39713 5648 32 its -PRON- PRP$ 39713 5648 33 fall fall NN 39713 5648 34 and and CC 39713 5648 35 even even RB 39713 5648 36 the the DT 39713 5648 37 sense sense NN 39713 5648 38 of of IN 39713 5648 39 its -PRON- PRP$ 39713 5648 40 fall fall NN 39713 5648 41 which which WDT 39713 5648 42 will will MD 39713 5648 43 be be VB 39713 5648 44 that that DT 39713 5648 45 of of IN 39713 5648 46 the the DT 39713 5648 47 initial initial JJ 39713 5648 48 inclination inclination NN 39713 5648 49 . . . 39713 5649 1 A a DT 39713 5649 2 very very RB 39713 5649 3 slight slight JJ 39713 5649 4 cause cause NN 39713 5649 5 , , , 39713 5649 6 which which WDT 39713 5649 7 escapes escape VBZ 39713 5649 8 us -PRON- PRP 39713 5649 9 , , , 39713 5649 10 determines determine VBZ 39713 5649 11 a a DT 39713 5649 12 considerable considerable JJ 39713 5649 13 effect effect NN 39713 5649 14 which which WDT 39713 5649 15 we -PRON- PRP 39713 5649 16 can can MD 39713 5649 17 not not RB 39713 5649 18 help help VB 39713 5649 19 seeing see VBG 39713 5649 20 , , , 39713 5649 21 and and CC 39713 5649 22 then then RB 39713 5649 23 we -PRON- PRP 39713 5649 24 say say VBP 39713 5649 25 this this DT 39713 5649 26 effect effect NN 39713 5649 27 is be VBZ 39713 5649 28 due due JJ 39713 5649 29 to to IN 39713 5649 30 chance chance NN 39713 5649 31 . . . 39713 5650 1 If if IN 39713 5650 2 we -PRON- PRP 39713 5650 3 could could MD 39713 5650 4 know know VB 39713 5650 5 exactly exactly RB 39713 5650 6 the the DT 39713 5650 7 laws law NNS 39713 5650 8 of of IN 39713 5650 9 nature nature NN 39713 5650 10 and and CC 39713 5650 11 the the DT 39713 5650 12 situation situation NN 39713 5650 13 of of IN 39713 5650 14 the the DT 39713 5650 15 universe universe NN 39713 5650 16 at at IN 39713 5650 17 the the DT 39713 5650 18 initial initial JJ 39713 5650 19 instant instant NN 39713 5650 20 , , , 39713 5650 21 we -PRON- PRP 39713 5650 22 should should MD 39713 5650 23 be be VB 39713 5650 24 able able JJ 39713 5650 25 to to TO 39713 5650 26 predict predict VB 39713 5650 27 exactly exactly RB 39713 5650 28 the the DT 39713 5650 29 situation situation NN 39713 5650 30 of of IN 39713 5650 31 this this DT 39713 5650 32 same same JJ 39713 5650 33 universe universe NN 39713 5650 34 at at IN 39713 5650 35 a a DT 39713 5650 36 subsequent subsequent JJ 39713 5650 37 instant instant NN 39713 5650 38 . . . 39713 5651 1 But but CC 39713 5651 2 even even RB 39713 5651 3 when when WRB 39713 5651 4 the the DT 39713 5651 5 natural natural JJ 39713 5651 6 laws law NNS 39713 5651 7 should should MD 39713 5651 8 have have VB 39713 5651 9 no no DT 39713 5651 10 further further JJ 39713 5651 11 secret secret NN 39713 5651 12 for for IN 39713 5651 13 us -PRON- PRP 39713 5651 14 , , , 39713 5651 15 we -PRON- PRP 39713 5651 16 could could MD 39713 5651 17 know know VB 39713 5651 18 the the DT 39713 5651 19 initial initial JJ 39713 5651 20 situation situation NN 39713 5651 21 only only RB 39713 5651 22 _ _ NNP 39713 5651 23 approximately approximately RB 39713 5651 24 _ _ NNP 39713 5651 25 . . . 39713 5652 1 If if IN 39713 5652 2 that that DT 39713 5652 3 permits permit VBZ 39713 5652 4 us -PRON- PRP 39713 5652 5 to to TO 39713 5652 6 foresee foresee VB 39713 5652 7 the the DT 39713 5652 8 subsequent subsequent JJ 39713 5652 9 situation situation NN 39713 5652 10 _ _ NNP 39713 5652 11 with with IN 39713 5652 12 the the DT 39713 5652 13 same same JJ 39713 5652 14 degree degree NN 39713 5652 15 of of IN 39713 5652 16 approximation approximation NN 39713 5652 17 _ _ NNP 39713 5652 18 , , , 39713 5652 19 this this DT 39713 5652 20 is be VBZ 39713 5652 21 all all DT 39713 5652 22 we -PRON- PRP 39713 5652 23 require require VBP 39713 5652 24 , , , 39713 5652 25 we -PRON- PRP 39713 5652 26 say say VBP 39713 5652 27 the the DT 39713 5652 28 phenomenon phenomenon NN 39713 5652 29 has have VBZ 39713 5652 30 been be VBN 39713 5652 31 predicted predict VBN 39713 5652 32 , , , 39713 5652 33 that that IN 39713 5652 34 it -PRON- PRP 39713 5652 35 is be VBZ 39713 5652 36 ruled rule VBN 39713 5652 37 by by IN 39713 5652 38 laws law NNS 39713 5652 39 . . . 39713 5653 1 But but CC 39713 5653 2 this this DT 39713 5653 3 is be VBZ 39713 5653 4 not not RB 39713 5653 5 always always RB 39713 5653 6 the the DT 39713 5653 7 case case NN 39713 5653 8 ; ; : 39713 5653 9 it -PRON- PRP 39713 5653 10 may may MD 39713 5653 11 happen happen VB 39713 5653 12 that that DT 39713 5653 13 slight slight JJ 39713 5653 14 differences difference NNS 39713 5653 15 in in IN 39713 5653 16 the the DT 39713 5653 17 initial initial JJ 39713 5653 18 conditions condition NNS 39713 5653 19 produce produce VBP 39713 5653 20 very very RB 39713 5653 21 great great JJ 39713 5653 22 differences difference NNS 39713 5653 23 in in IN 39713 5653 24 the the DT 39713 5653 25 final final JJ 39713 5653 26 phenomena phenomenon NNS 39713 5653 27 ; ; : 39713 5653 28 a a DT 39713 5653 29 slight slight JJ 39713 5653 30 error error NN 39713 5653 31 in in IN 39713 5653 32 the the DT 39713 5653 33 former former JJ 39713 5653 34 would would MD 39713 5653 35 make make VB 39713 5653 36 an an DT 39713 5653 37 enormous enormous JJ 39713 5653 38 error error NN 39713 5653 39 in in IN 39713 5653 40 the the DT 39713 5653 41 latter latter NN 39713 5653 42 . . . 39713 5654 1 Prediction prediction NN 39713 5654 2 becomes become VBZ 39713 5654 3 impossible impossible JJ 39713 5654 4 and and CC 39713 5654 5 we -PRON- PRP 39713 5654 6 have have VBP 39713 5654 7 the the DT 39713 5654 8 fortuitous fortuitous JJ 39713 5654 9 phenomenon phenomenon NN 39713 5654 10 . . . 39713 5655 1 Our -PRON- PRP$ 39713 5655 2 second second JJ 39713 5655 3 example example NN 39713 5655 4 will will MD 39713 5655 5 be be VB 39713 5655 6 very very RB 39713 5655 7 analogous analogous JJ 39713 5655 8 to to IN 39713 5655 9 the the DT 39713 5655 10 first first JJ 39713 5655 11 and and CC 39713 5655 12 we -PRON- PRP 39713 5655 13 shall shall MD 39713 5655 14 take take VB 39713 5655 15 it -PRON- PRP 39713 5655 16 from from IN 39713 5655 17 meteorology meteorology NN 39713 5655 18 . . . 39713 5656 1 Why why WRB 39713 5656 2 have have VBP 39713 5656 3 the the DT 39713 5656 4 meteorologists meteorologist NNS 39713 5656 5 such such JJ 39713 5656 6 difficulty difficulty NN 39713 5656 7 in in IN 39713 5656 8 predicting predict VBG 39713 5656 9 the the DT 39713 5656 10 weather weather NN 39713 5656 11 with with IN 39713 5656 12 any any DT 39713 5656 13 certainty certainty NN 39713 5656 14 ? ? . 39713 5657 1 Why why WRB 39713 5657 2 do do VBP 39713 5657 3 the the DT 39713 5657 4 rains rain NNS 39713 5657 5 , , , 39713 5657 6 the the DT 39713 5657 7 tempests tempest NNS 39713 5657 8 themselves -PRON- PRP 39713 5657 9 seem seem VBP 39713 5657 10 to to IN 39713 5657 11 us -PRON- PRP 39713 5657 12 to to TO 39713 5657 13 come come VB 39713 5657 14 by by IN 39713 5657 15 chance chance NN 39713 5657 16 , , , 39713 5657 17 so so IN 39713 5657 18 that that IN 39713 5657 19 many many JJ 39713 5657 20 persons person NNS 39713 5657 21 find find VBP 39713 5657 22 it -PRON- PRP 39713 5657 23 quite quite RB 39713 5657 24 natural natural JJ 39713 5657 25 to to TO 39713 5657 26 pray pray VB 39713 5657 27 for for IN 39713 5657 28 rain rain NN 39713 5657 29 or or CC 39713 5657 30 shine shine NN 39713 5657 31 , , , 39713 5657 32 when when WRB 39713 5657 33 they -PRON- PRP 39713 5657 34 would would MD 39713 5657 35 think think VB 39713 5657 36 it -PRON- PRP 39713 5657 37 ridiculous ridiculous JJ 39713 5657 38 to to TO 39713 5657 39 pray pray VB 39713 5657 40 for for IN 39713 5657 41 an an DT 39713 5657 42 eclipse eclipse NN 39713 5657 43 ? ? . 39713 5658 1 We -PRON- PRP 39713 5658 2 see see VBP 39713 5658 3 that that IN 39713 5658 4 great great JJ 39713 5658 5 perturbations perturbation NNS 39713 5658 6 generally generally RB 39713 5658 7 happen happen VBP 39713 5658 8 in in IN 39713 5658 9 regions region NNS 39713 5658 10 where where WRB 39713 5658 11 the the DT 39713 5658 12 atmosphere atmosphere NN 39713 5658 13 is be VBZ 39713 5658 14 in in IN 39713 5658 15 unstable unstable JJ 39713 5658 16 equilibrium equilibrium NN 39713 5658 17 . . . 39713 5659 1 The the DT 39713 5659 2 meteorologists meteorologist NNS 39713 5659 3 are be VBP 39713 5659 4 aware aware JJ 39713 5659 5 that that IN 39713 5659 6 this this DT 39713 5659 7 equilibrium equilibrium NN 39713 5659 8 is be VBZ 39713 5659 9 unstable unstable JJ 39713 5659 10 , , , 39713 5659 11 that that IN 39713 5659 12 a a DT 39713 5659 13 cyclone cyclone NN 39713 5659 14 is be VBZ 39713 5659 15 arising arise VBG 39713 5659 16 somewhere somewhere RB 39713 5659 17 ; ; : 39713 5659 18 but but CC 39713 5659 19 where where WRB 39713 5659 20 they -PRON- PRP 39713 5659 21 can can MD 39713 5659 22 not not RB 39713 5659 23 tell tell VB 39713 5659 24 ; ; : 39713 5659 25 one one CD 39713 5659 26 - - HYPH 39713 5659 27 tenth tenth NN 39713 5659 28 of of IN 39713 5659 29 a a DT 39713 5659 30 degree degree NN 39713 5659 31 more more RBR 39713 5659 32 or or CC 39713 5659 33 less less RBR 39713 5659 34 at at IN 39713 5659 35 any any DT 39713 5659 36 point point NN 39713 5659 37 , , , 39713 5659 38 and and CC 39713 5659 39 the the DT 39713 5659 40 cyclone cyclone NN 39713 5659 41 bursts burst NNS 39713 5659 42 here here RB 39713 5659 43 and and CC 39713 5659 44 not not RB 39713 5659 45 there there RB 39713 5659 46 , , , 39713 5659 47 and and CC 39713 5659 48 spreads spread VBZ 39713 5659 49 its -PRON- PRP$ 39713 5659 50 ravages ravage NNS 39713 5659 51 over over IN 39713 5659 52 countries country NNS 39713 5659 53 it -PRON- PRP 39713 5659 54 would would MD 39713 5659 55 have have VB 39713 5659 56 spared spare VBN 39713 5659 57 . . . 39713 5660 1 This this DT 39713 5660 2 we -PRON- PRP 39713 5660 3 could could MD 39713 5660 4 have have VB 39713 5660 5 foreseen foresee VBN 39713 5660 6 if if IN 39713 5660 7 we -PRON- PRP 39713 5660 8 had have VBD 39713 5660 9 known know VBN 39713 5660 10 that that IN 39713 5660 11 tenth tenth NN 39713 5660 12 of of IN 39713 5660 13 a a DT 39713 5660 14 degree degree NN 39713 5660 15 , , , 39713 5660 16 but but CC 39713 5660 17 the the DT 39713 5660 18 observations observation NNS 39713 5660 19 were be VBD 39713 5660 20 neither neither CC 39713 5660 21 sufficiently sufficiently RB 39713 5660 22 close close JJ 39713 5660 23 nor nor CC 39713 5660 24 sufficiently sufficiently RB 39713 5660 25 precise precise JJ 39713 5660 26 , , , 39713 5660 27 and and CC 39713 5660 28 for for IN 39713 5660 29 this this DT 39713 5660 30 reason reason NN 39713 5660 31 all all DT 39713 5660 32 seems seem VBZ 39713 5660 33 due due JJ 39713 5660 34 to to IN 39713 5660 35 the the DT 39713 5660 36 agency agency NN 39713 5660 37 of of IN 39713 5660 38 chance chance NN 39713 5660 39 . . . 39713 5661 1 Here here RB 39713 5661 2 again again RB 39713 5661 3 we -PRON- PRP 39713 5661 4 find find VBP 39713 5661 5 the the DT 39713 5661 6 same same JJ 39713 5661 7 contrast contrast NN 39713 5661 8 between between IN 39713 5661 9 a a DT 39713 5661 10 very very RB 39713 5661 11 slight slight JJ 39713 5661 12 cause cause NN 39713 5661 13 , , , 39713 5661 14 unappreciable unappreciable JJ 39713 5661 15 to to IN 39713 5661 16 the the DT 39713 5661 17 observer observer NN 39713 5661 18 , , , 39713 5661 19 and and CC 39713 5661 20 important important JJ 39713 5661 21 effects effect NNS 39713 5661 22 , , , 39713 5661 23 which which WDT 39713 5661 24 are be VBP 39713 5661 25 sometimes sometimes RB 39713 5661 26 tremendous tremendous JJ 39713 5661 27 disasters disaster NNS 39713 5661 28 . . . 39713 5662 1 Let let VB 39713 5662 2 us -PRON- PRP 39713 5662 3 pass pass VB 39713 5662 4 to to IN 39713 5662 5 another another DT 39713 5662 6 example example NN 39713 5662 7 , , , 39713 5662 8 the the DT 39713 5662 9 distribution distribution NN 39713 5662 10 of of IN 39713 5662 11 the the DT 39713 5662 12 minor minor JJ 39713 5662 13 planets planet NNS 39713 5662 14 on on IN 39713 5662 15 the the DT 39713 5662 16 zodiac zodiac NN 39713 5662 17 . . . 39713 5663 1 Their -PRON- PRP$ 39713 5663 2 initial initial JJ 39713 5663 3 longitudes longitude NNS 39713 5663 4 may may MD 39713 5663 5 have have VB 39713 5663 6 been be VBN 39713 5663 7 any any DT 39713 5663 8 longitudes longitude NNS 39713 5663 9 whatever whatever WDT 39713 5663 10 ; ; : 39713 5663 11 but but CC 39713 5663 12 their -PRON- PRP$ 39713 5663 13 mean mean JJ 39713 5663 14 motions motion NNS 39713 5663 15 were be VBD 39713 5663 16 different different JJ 39713 5663 17 and and CC 39713 5663 18 they -PRON- PRP 39713 5663 19 have have VBP 39713 5663 20 revolved revolve VBN 39713 5663 21 for for IN 39713 5663 22 so so RB 39713 5663 23 long long RB 39713 5663 24 a a DT 39713 5663 25 time time NN 39713 5663 26 that that WDT 39713 5663 27 we -PRON- PRP 39713 5663 28 may may MD 39713 5663 29 say say VB 39713 5663 30 they -PRON- PRP 39713 5663 31 are be VBP 39713 5663 32 now now RB 39713 5663 33 distributed distribute VBN 39713 5663 34 _ _ NNP 39713 5663 35 at at IN 39713 5663 36 random random JJ 39713 5663 37 _ _ NNP 39713 5663 38 along along IN 39713 5663 39 the the DT 39713 5663 40 zodiac zodiac NNP 39713 5663 41 . . . 39713 5664 1 Very very RB 39713 5664 2 slight slight JJ 39713 5664 3 initial initial JJ 39713 5664 4 differences difference NNS 39713 5664 5 between between IN 39713 5664 6 their -PRON- PRP$ 39713 5664 7 distances distance NNS 39713 5664 8 from from IN 39713 5664 9 the the DT 39713 5664 10 sun sun NN 39713 5664 11 , , , 39713 5664 12 or or CC 39713 5664 13 , , , 39713 5664 14 what what WP 39713 5664 15 comes come VBZ 39713 5664 16 to to IN 39713 5664 17 the the DT 39713 5664 18 same same JJ 39713 5664 19 thing thing NN 39713 5664 20 , , , 39713 5664 21 between between IN 39713 5664 22 their -PRON- PRP$ 39713 5664 23 mean mean JJ 39713 5664 24 motions motion NNS 39713 5664 25 , , , 39713 5664 26 have have VBP 39713 5664 27 ended end VBN 39713 5664 28 by by IN 39713 5664 29 giving give VBG 39713 5664 30 enormous enormous JJ 39713 5664 31 differences difference NNS 39713 5664 32 between between IN 39713 5664 33 their -PRON- PRP$ 39713 5664 34 present present JJ 39713 5664 35 longitudes longitude NNS 39713 5664 36 . . . 39713 5665 1 An an DT 39713 5665 2 excess excess NN 39713 5665 3 of of IN 39713 5665 4 the the DT 39713 5665 5 thousandth thousandth NN 39713 5665 6 of of IN 39713 5665 7 a a DT 39713 5665 8 second second JJ 39713 5665 9 in in IN 39713 5665 10 the the DT 39713 5665 11 daily daily JJ 39713 5665 12 mean mean JJ 39713 5665 13 motion motion NN 39713 5665 14 will will MD 39713 5665 15 give give VB 39713 5665 16 in in IN 39713 5665 17 fact fact NN 39713 5665 18 a a DT 39713 5665 19 second second JJ 39713 5665 20 in in IN 39713 5665 21 three three CD 39713 5665 22 years year NNS 39713 5665 23 , , , 39713 5665 24 a a DT 39713 5665 25 degree degree NN 39713 5665 26 in in IN 39713 5665 27 ten ten CD 39713 5665 28 thousand thousand CD 39713 5665 29 years year NNS 39713 5665 30 , , , 39713 5665 31 an an DT 39713 5665 32 entire entire JJ 39713 5665 33 circumference circumference NN 39713 5665 34 in in IN 39713 5665 35 three three CD 39713 5665 36 or or CC 39713 5665 37 four four CD 39713 5665 38 million million CD 39713 5665 39 years year NNS 39713 5665 40 , , , 39713 5665 41 and and CC 39713 5665 42 what what WP 39713 5665 43 is be VBZ 39713 5665 44 that that DT 39713 5665 45 to to IN 39713 5665 46 the the DT 39713 5665 47 time time NN 39713 5665 48 which which WDT 39713 5665 49 has have VBZ 39713 5665 50 passed pass VBN 39713 5665 51 since since IN 39713 5665 52 the the DT 39713 5665 53 minor minor JJ 39713 5665 54 planets planet NNS 39713 5665 55 detached detach VBD 39713 5665 56 themselves -PRON- PRP 39713 5665 57 from from IN 39713 5665 58 the the DT 39713 5665 59 nebula nebula NN 39713 5665 60 of of IN 39713 5665 61 Laplace Laplace NNP 39713 5665 62 ? ? . 39713 5666 1 Again again RB 39713 5666 2 therefore therefore RB 39713 5666 3 we -PRON- PRP 39713 5666 4 see see VBP 39713 5666 5 a a DT 39713 5666 6 slight slight JJ 39713 5666 7 cause cause NN 39713 5666 8 and and CC 39713 5666 9 a a DT 39713 5666 10 great great JJ 39713 5666 11 effect effect NN 39713 5666 12 ; ; : 39713 5666 13 or or CC 39713 5666 14 better well JJR 39713 5666 15 , , , 39713 5666 16 slight slight JJ 39713 5666 17 differences difference NNS 39713 5666 18 in in IN 39713 5666 19 the the DT 39713 5666 20 cause cause NN 39713 5666 21 and and CC 39713 5666 22 great great JJ 39713 5666 23 differences difference NNS 39713 5666 24 in in IN 39713 5666 25 the the DT 39713 5666 26 effect effect NN 39713 5666 27 . . . 39713 5667 1 The the DT 39713 5667 2 game game NN 39713 5667 3 of of IN 39713 5667 4 roulette roulette NN 39713 5667 5 does do VBZ 39713 5667 6 not not RB 39713 5667 7 take take VB 39713 5667 8 us -PRON- PRP 39713 5667 9 as as RB 39713 5667 10 far far RB 39713 5667 11 as as IN 39713 5667 12 might may MD 39713 5667 13 seem seem VB 39713 5667 14 from from IN 39713 5667 15 the the DT 39713 5667 16 preceding precede VBG 39713 5667 17 example example NN 39713 5667 18 . . . 39713 5668 1 Assume assume VB 39713 5668 2 a a DT 39713 5668 3 needle needle NN 39713 5668 4 to to TO 39713 5668 5 be be VB 39713 5668 6 turned turn VBN 39713 5668 7 on on RP 39713 5668 8 a a DT 39713 5668 9 pivot pivot NN 39713 5668 10 over over IN 39713 5668 11 a a DT 39713 5668 12 dial dial NN 39713 5668 13 divided divide VBN 39713 5668 14 into into IN 39713 5668 15 a a DT 39713 5668 16 hundred hundred CD 39713 5668 17 sectors sector NNS 39713 5668 18 alternately alternately RB 39713 5668 19 red red JJ 39713 5668 20 and and CC 39713 5668 21 black black JJ 39713 5668 22 . . . 39713 5669 1 If if IN 39713 5669 2 it -PRON- PRP 39713 5669 3 stops stop VBZ 39713 5669 4 on on IN 39713 5669 5 a a DT 39713 5669 6 red red JJ 39713 5669 7 sector sector NN 39713 5669 8 I -PRON- PRP 39713 5669 9 win win VBP 39713 5669 10 ; ; : 39713 5669 11 if if IN 39713 5669 12 not not RB 39713 5669 13 , , , 39713 5669 14 I -PRON- PRP 39713 5669 15 lose lose VBP 39713 5669 16 . . . 39713 5670 1 Evidently evidently RB 39713 5670 2 all all DT 39713 5670 3 depends depend VBZ 39713 5670 4 upon upon IN 39713 5670 5 the the DT 39713 5670 6 initial initial JJ 39713 5670 7 impulse impulse NN 39713 5670 8 I -PRON- PRP 39713 5670 9 give give VBP 39713 5670 10 the the DT 39713 5670 11 needle needle NN 39713 5670 12 . . . 39713 5671 1 The the DT 39713 5671 2 needle needle NN 39713 5671 3 will will MD 39713 5671 4 make make VB 39713 5671 5 , , , 39713 5671 6 suppose suppose VB 39713 5671 7 , , , 39713 5671 8 ten ten CD 39713 5671 9 or or CC 39713 5671 10 twenty twenty CD 39713 5671 11 turns turn NNS 39713 5671 12 , , , 39713 5671 13 but but CC 39713 5671 14 it -PRON- PRP 39713 5671 15 will will MD 39713 5671 16 stop stop VB 39713 5671 17 sooner soon RBR 39713 5671 18 or or CC 39713 5671 19 not not RB 39713 5671 20 so so RB 39713 5671 21 soon soon RB 39713 5671 22 , , , 39713 5671 23 according accord VBG 39713 5671 24 as as IN 39713 5671 25 I -PRON- PRP 39713 5671 26 shall shall MD 39713 5671 27 have have VB 39713 5671 28 pushed push VBN 39713 5671 29 it -PRON- PRP 39713 5671 30 more more RBR 39713 5671 31 or or CC 39713 5671 32 less less RBR 39713 5671 33 strongly strongly RB 39713 5671 34 . . . 39713 5672 1 It -PRON- PRP 39713 5672 2 suffices suffice VBZ 39713 5672 3 that that IN 39713 5672 4 the the DT 39713 5672 5 impulse impulse NN 39713 5672 6 vary vary VBP 39713 5672 7 only only RB 39713 5672 8 by by IN 39713 5672 9 a a DT 39713 5672 10 thousandth thousandth NN 39713 5672 11 or or CC 39713 5672 12 a a DT 39713 5672 13 two two CD 39713 5672 14 thousandth thousandth NN 39713 5672 15 to to TO 39713 5672 16 make make VB 39713 5672 17 the the DT 39713 5672 18 needle needle NN 39713 5672 19 stop stop VB 39713 5672 20 over over IN 39713 5672 21 a a DT 39713 5672 22 black black JJ 39713 5672 23 sector sector NN 39713 5672 24 or or CC 39713 5672 25 over over IN 39713 5672 26 the the DT 39713 5672 27 following follow VBG 39713 5672 28 red red JJ 39713 5672 29 one one NN 39713 5672 30 . . . 39713 5673 1 These these DT 39713 5673 2 are be VBP 39713 5673 3 differences difference NNS 39713 5673 4 the the DT 39713 5673 5 muscular muscular JJ 39713 5673 6 sense sense NN 39713 5673 7 can can MD 39713 5673 8 not not RB 39713 5673 9 distinguish distinguish VB 39713 5673 10 and and CC 39713 5673 11 which which WDT 39713 5673 12 elude elude VBP 39713 5673 13 even even RB 39713 5673 14 the the DT 39713 5673 15 most most RBS 39713 5673 16 delicate delicate JJ 39713 5673 17 instruments instrument NNS 39713 5673 18 . . . 39713 5674 1 So so CC 39713 5674 2 it -PRON- PRP 39713 5674 3 is be VBZ 39713 5674 4 impossible impossible JJ 39713 5674 5 for for IN 39713 5674 6 me -PRON- PRP 39713 5674 7 to to TO 39713 5674 8 foresee foresee VB 39713 5674 9 what what WP 39713 5674 10 the the DT 39713 5674 11 needle needle NN 39713 5674 12 I -PRON- PRP 39713 5674 13 have have VBP 39713 5674 14 started start VBN 39713 5674 15 will will MD 39713 5674 16 do do VB 39713 5674 17 , , , 39713 5674 18 and and CC 39713 5674 19 this this DT 39713 5674 20 is be VBZ 39713 5674 21 why why WRB 39713 5674 22 my -PRON- PRP$ 39713 5674 23 heart heart NN 39713 5674 24 throbs throb VBZ 39713 5674 25 and and CC 39713 5674 26 I -PRON- PRP 39713 5674 27 hope hope VBP 39713 5674 28 everything everything NN 39713 5674 29 from from IN 39713 5674 30 luck luck NN 39713 5674 31 . . . 39713 5675 1 The the DT 39713 5675 2 difference difference NN 39713 5675 3 in in IN 39713 5675 4 the the DT 39713 5675 5 cause cause NN 39713 5675 6 is be VBZ 39713 5675 7 imperceptible imperceptible JJ 39713 5675 8 , , , 39713 5675 9 and and CC 39713 5675 10 the the DT 39713 5675 11 difference difference NN 39713 5675 12 in in IN 39713 5675 13 the the DT 39713 5675 14 effect effect NN 39713 5675 15 is be VBZ 39713 5675 16 for for IN 39713 5675 17 me -PRON- PRP 39713 5675 18 of of IN 39713 5675 19 the the DT 39713 5675 20 highest high JJS 39713 5675 21 importance importance NN 39713 5675 22 , , , 39713 5675 23 since since IN 39713 5675 24 it -PRON- PRP 39713 5675 25 means mean VBZ 39713 5675 26 my -PRON- PRP$ 39713 5675 27 whole whole JJ 39713 5675 28 stake stake NN 39713 5675 29 . . . 39713 5676 1 III iii CD 39713 5676 2 Permit Permit NNP 39713 5676 3 me -PRON- PRP 39713 5676 4 , , , 39713 5676 5 in in IN 39713 5676 6 this this DT 39713 5676 7 connection connection NN 39713 5676 8 , , , 39713 5676 9 a a DT 39713 5676 10 thought thought NN 39713 5676 11 somewhat somewhat RB 39713 5676 12 foreign foreign JJ 39713 5676 13 to to IN 39713 5676 14 my -PRON- PRP$ 39713 5676 15 subject subject NN 39713 5676 16 . . . 39713 5677 1 Some some DT 39713 5677 2 years year NNS 39713 5677 3 ago ago RB 39713 5677 4 a a DT 39713 5677 5 philosopher philosopher NN 39713 5677 6 said say VBD 39713 5677 7 that that IN 39713 5677 8 the the DT 39713 5677 9 future future NN 39713 5677 10 is be VBZ 39713 5677 11 determined determine VBN 39713 5677 12 by by IN 39713 5677 13 the the DT 39713 5677 14 past past NN 39713 5677 15 , , , 39713 5677 16 but but CC 39713 5677 17 not not RB 39713 5677 18 the the DT 39713 5677 19 past past NN 39713 5677 20 by by IN 39713 5677 21 the the DT 39713 5677 22 future future NN 39713 5677 23 ; ; , 39713 5677 24 or or CC 39713 5677 25 , , , 39713 5677 26 in in IN 39713 5677 27 other other JJ 39713 5677 28 words word NNS 39713 5677 29 , , , 39713 5677 30 from from IN 39713 5677 31 knowledge knowledge NN 39713 5677 32 of of IN 39713 5677 33 the the DT 39713 5677 34 present present NN 39713 5677 35 we -PRON- PRP 39713 5677 36 could could MD 39713 5677 37 deduce deduce VB 39713 5677 38 the the DT 39713 5677 39 future future NN 39713 5677 40 , , , 39713 5677 41 but but CC 39713 5677 42 not not RB 39713 5677 43 the the DT 39713 5677 44 past past NN 39713 5677 45 ; ; : 39713 5677 46 because because IN 39713 5677 47 , , , 39713 5677 48 said say VBD 39713 5677 49 he -PRON- PRP 39713 5677 50 , , , 39713 5677 51 a a DT 39713 5677 52 cause cause NN 39713 5677 53 can can MD 39713 5677 54 have have VB 39713 5677 55 only only RB 39713 5677 56 one one CD 39713 5677 57 effect effect NN 39713 5677 58 , , , 39713 5677 59 while while IN 39713 5677 60 the the DT 39713 5677 61 same same JJ 39713 5677 62 effect effect NN 39713 5677 63 might may MD 39713 5677 64 be be VB 39713 5677 65 produced produce VBN 39713 5677 66 by by IN 39713 5677 67 several several JJ 39713 5677 68 different different JJ 39713 5677 69 causes cause NNS 39713 5677 70 . . . 39713 5678 1 It -PRON- PRP 39713 5678 2 is be VBZ 39713 5678 3 clear clear JJ 39713 5678 4 no no DT 39713 5678 5 scientist scientist NN 39713 5678 6 can can MD 39713 5678 7 subscribe subscribe VB 39713 5678 8 to to IN 39713 5678 9 this this DT 39713 5678 10 conclusion conclusion NN 39713 5678 11 . . . 39713 5679 1 The the DT 39713 5679 2 laws law NNS 39713 5679 3 of of IN 39713 5679 4 nature nature NN 39713 5679 5 bind bind VBP 39713 5679 6 the the DT 39713 5679 7 antecedent antecedent NN 39713 5679 8 to to IN 39713 5679 9 the the DT 39713 5679 10 consequent consequent NN 39713 5679 11 in in IN 39713 5679 12 such such PDT 39713 5679 13 a a DT 39713 5679 14 way way NN 39713 5679 15 that that WDT 39713 5679 16 the the DT 39713 5679 17 antecedent antecedent NN 39713 5679 18 is be VBZ 39713 5679 19 as as RB 39713 5679 20 well well RB 39713 5679 21 determined determine VBN 39713 5679 22 by by IN 39713 5679 23 the the DT 39713 5679 24 consequent consequent NN 39713 5679 25 as as IN 39713 5679 26 the the DT 39713 5679 27 consequent consequent NN 39713 5679 28 by by IN 39713 5679 29 the the DT 39713 5679 30 antecedent antecedent NN 39713 5679 31 . . . 39713 5680 1 But but CC 39713 5680 2 whence whence NN 39713 5680 3 came come VBD 39713 5680 4 the the DT 39713 5680 5 error error NN 39713 5680 6 of of IN 39713 5680 7 this this DT 39713 5680 8 philosopher philosopher NN 39713 5680 9 ? ? . 39713 5681 1 We -PRON- PRP 39713 5681 2 know know VBP 39713 5681 3 that that IN 39713 5681 4 in in IN 39713 5681 5 virtue virtue NN 39713 5681 6 of of IN 39713 5681 7 Carnot Carnot NNP 39713 5681 8 's 's POS 39713 5681 9 principle principle JJ 39713 5681 10 physical physical JJ 39713 5681 11 phenomena phenomenon NNS 39713 5681 12 are be VBP 39713 5681 13 irreversible irreversible JJ 39713 5681 14 and and CC 39713 5681 15 the the DT 39713 5681 16 world world NN 39713 5681 17 tends tend VBZ 39713 5681 18 toward toward IN 39713 5681 19 uniformity uniformity NN 39713 5681 20 . . . 39713 5682 1 When when WRB 39713 5682 2 two two CD 39713 5682 3 bodies body NNS 39713 5682 4 of of IN 39713 5682 5 different different JJ 39713 5682 6 temperature temperature NN 39713 5682 7 come come VBN 39713 5682 8 in in IN 39713 5682 9 contact contact NN 39713 5682 10 , , , 39713 5682 11 the the DT 39713 5682 12 warmer warm JJR 39713 5682 13 gives give VBZ 39713 5682 14 up up RP 39713 5682 15 heat heat NN 39713 5682 16 to to IN 39713 5682 17 the the DT 39713 5682 18 colder colder NN 39713 5682 19 ; ; : 39713 5682 20 so so CC 39713 5682 21 we -PRON- PRP 39713 5682 22 may may MD 39713 5682 23 foresee foresee VB 39713 5682 24 that that IN 39713 5682 25 the the DT 39713 5682 26 temperature temperature NN 39713 5682 27 will will MD 39713 5682 28 equalize equalize VB 39713 5682 29 . . . 39713 5683 1 But but CC 39713 5683 2 once once RB 39713 5683 3 equal equal JJ 39713 5683 4 , , , 39713 5683 5 if if IN 39713 5683 6 asked ask VBD 39713 5683 7 about about IN 39713 5683 8 the the DT 39713 5683 9 anterior anterior NNP 39713 5683 10 state state NN 39713 5683 11 , , , 39713 5683 12 what what WP 39713 5683 13 can can MD 39713 5683 14 we -PRON- PRP 39713 5683 15 answer answer VB 39713 5683 16 ? ? . 39713 5684 1 We -PRON- PRP 39713 5684 2 might may MD 39713 5684 3 say say VB 39713 5684 4 that that IN 39713 5684 5 one one NN 39713 5684 6 was be VBD 39713 5684 7 warm warm JJ 39713 5684 8 and and CC 39713 5684 9 the the DT 39713 5684 10 other other JJ 39713 5684 11 cold cold NN 39713 5684 12 , , , 39713 5684 13 but but CC 39713 5684 14 not not RB 39713 5684 15 be be VB 39713 5684 16 able able JJ 39713 5684 17 to to TO 39713 5684 18 divine divine VB 39713 5684 19 which which WDT 39713 5684 20 formerly formerly RB 39713 5684 21 was be VBD 39713 5684 22 the the DT 39713 5684 23 warmer warm JJR 39713 5684 24 . . . 39713 5685 1 And and CC 39713 5685 2 yet yet RB 39713 5685 3 in in IN 39713 5685 4 reality reality NN 39713 5685 5 the the DT 39713 5685 6 temperatures temperature NNS 39713 5685 7 will will MD 39713 5685 8 never never RB 39713 5685 9 reach reach VB 39713 5685 10 perfect perfect JJ 39713 5685 11 equality equality NN 39713 5685 12 . . . 39713 5686 1 The the DT 39713 5686 2 difference difference NN 39713 5686 3 of of IN 39713 5686 4 the the DT 39713 5686 5 temperatures temperature NNS 39713 5686 6 only only RB 39713 5686 7 tends tend VBZ 39713 5686 8 asymptotically asymptotically RB 39713 5686 9 toward toward IN 39713 5686 10 zero zero CD 39713 5686 11 . . . 39713 5687 1 There there EX 39713 5687 2 comes come VBZ 39713 5687 3 a a DT 39713 5687 4 moment moment NN 39713 5687 5 when when WRB 39713 5687 6 our -PRON- PRP$ 39713 5687 7 thermometers thermometer NNS 39713 5687 8 are be VBP 39713 5687 9 powerless powerless JJ 39713 5687 10 to to TO 39713 5687 11 make make VB 39713 5687 12 it -PRON- PRP 39713 5687 13 known know VBN 39713 5687 14 . . . 39713 5688 1 But but CC 39713 5688 2 if if IN 39713 5688 3 we -PRON- PRP 39713 5688 4 had have VBD 39713 5688 5 thermometers thermometer NNS 39713 5688 6 a a DT 39713 5688 7 thousand thousand CD 39713 5688 8 times time NNS 39713 5688 9 , , , 39713 5688 10 a a DT 39713 5688 11 hundred hundred CD 39713 5688 12 thousand thousand CD 39713 5688 13 times time NNS 39713 5688 14 as as IN 39713 5688 15 sensitive sensitive JJ 39713 5688 16 , , , 39713 5688 17 we -PRON- PRP 39713 5688 18 should should MD 39713 5688 19 recognize recognize VB 39713 5688 20 that that IN 39713 5688 21 there there EX 39713 5688 22 still still RB 39713 5688 23 is be VBZ 39713 5688 24 a a DT 39713 5688 25 slight slight JJ 39713 5688 26 difference difference NN 39713 5688 27 , , , 39713 5688 28 and and CC 39713 5688 29 that that IN 39713 5688 30 one one CD 39713 5688 31 of of IN 39713 5688 32 the the DT 39713 5688 33 bodies body NNS 39713 5688 34 remains remain VBZ 39713 5688 35 a a DT 39713 5688 36 little little JJ 39713 5688 37 warmer warm JJR 39713 5688 38 than than IN 39713 5688 39 the the DT 39713 5688 40 other other JJ 39713 5688 41 , , , 39713 5688 42 and and CC 39713 5688 43 so so RB 39713 5688 44 we -PRON- PRP 39713 5688 45 could could MD 39713 5688 46 say say VB 39713 5688 47 this this DT 39713 5688 48 it -PRON- PRP 39713 5688 49 is be VBZ 39713 5688 50 which which WDT 39713 5688 51 formerly formerly RB 39713 5688 52 was be VBD 39713 5688 53 much much RB 39713 5688 54 the the DT 39713 5688 55 warmer warm JJR 39713 5688 56 . . . 39713 5689 1 So so RB 39713 5689 2 then then RB 39713 5689 3 there there EX 39713 5689 4 are be VBP 39713 5689 5 , , , 39713 5689 6 contrary contrary JJ 39713 5689 7 to to IN 39713 5689 8 what what WP 39713 5689 9 we -PRON- PRP 39713 5689 10 found find VBD 39713 5689 11 in in IN 39713 5689 12 the the DT 39713 5689 13 former former JJ 39713 5689 14 examples example NNS 39713 5689 15 , , , 39713 5689 16 great great JJ 39713 5689 17 differences difference NNS 39713 5689 18 in in IN 39713 5689 19 cause cause NN 39713 5689 20 and and CC 39713 5689 21 slight slight JJ 39713 5689 22 differences difference NNS 39713 5689 23 in in IN 39713 5689 24 effect effect NN 39713 5689 25 . . . 39713 5690 1 Flammarion flammarion NN 39713 5690 2 once once RB 39713 5690 3 imagined imagine VBD 39713 5690 4 an an DT 39713 5690 5 observer observer NN 39713 5690 6 going go VBG 39713 5690 7 away away RB 39713 5690 8 from from IN 39713 5690 9 the the DT 39713 5690 10 earth earth NN 39713 5690 11 with with IN 39713 5690 12 a a DT 39713 5690 13 velocity velocity NN 39713 5690 14 greater great JJR 39713 5690 15 than than IN 39713 5690 16 that that DT 39713 5690 17 of of IN 39713 5690 18 light light NN 39713 5690 19 ; ; : 39713 5690 20 for for IN 39713 5690 21 him -PRON- PRP 39713 5690 22 time time NN 39713 5690 23 would would MD 39713 5690 24 have have VB 39713 5690 25 changed change VBN 39713 5690 26 sign sign NN 39713 5690 27 . . . 39713 5691 1 History history NN 39713 5691 2 would would MD 39713 5691 3 be be VB 39713 5691 4 turned turn VBN 39713 5691 5 about about IN 39713 5691 6 , , , 39713 5691 7 and and CC 39713 5691 8 Waterloo Waterloo NNP 39713 5691 9 would would MD 39713 5691 10 precede precede VB 39713 5691 11 Austerlitz Austerlitz NNP 39713 5691 12 . . . 39713 5692 1 Well well UH 39713 5692 2 , , , 39713 5692 3 for for IN 39713 5692 4 this this DT 39713 5692 5 observer observer NN 39713 5692 6 , , , 39713 5692 7 effects effect NNS 39713 5692 8 and and CC 39713 5692 9 causes cause NNS 39713 5692 10 would would MD 39713 5692 11 be be VB 39713 5692 12 inverted invert VBN 39713 5692 13 ; ; : 39713 5692 14 unstable unstable JJ 39713 5692 15 equilibrium equilibrium NN 39713 5692 16 would would MD 39713 5692 17 no no RB 39713 5692 18 longer longer RB 39713 5692 19 be be VB 39713 5692 20 the the DT 39713 5692 21 exception exception NN 39713 5692 22 . . . 39713 5693 1 Because because IN 39713 5693 2 of of IN 39713 5693 3 the the DT 39713 5693 4 universal universal JJ 39713 5693 5 irreversibility irreversibility NN 39713 5693 6 , , , 39713 5693 7 all all DT 39713 5693 8 would would MD 39713 5693 9 seem seem VB 39713 5693 10 to to IN 39713 5693 11 him -PRON- PRP 39713 5693 12 to to TO 39713 5693 13 come come VB 39713 5693 14 out out IN 39713 5693 15 of of IN 39713 5693 16 a a DT 39713 5693 17 sort sort NN 39713 5693 18 of of IN 39713 5693 19 chaos chaos NN 39713 5693 20 in in IN 39713 5693 21 unstable unstable JJ 39713 5693 22 equilibrium equilibrium NN 39713 5693 23 . . . 39713 5694 1 All all DT 39713 5694 2 nature nature NN 39713 5694 3 would would MD 39713 5694 4 appear appear VB 39713 5694 5 to to IN 39713 5694 6 him -PRON- PRP 39713 5694 7 delivered deliver VBD 39713 5694 8 over over RP 39713 5694 9 to to IN 39713 5694 10 chance chance NN 39713 5694 11 . . . 39713 5695 1 IV IV NNP 39713 5695 2 Now now RB 39713 5695 3 for for IN 39713 5695 4 other other JJ 39713 5695 5 examples example NNS 39713 5695 6 where where WRB 39713 5695 7 we -PRON- PRP 39713 5695 8 shall shall MD 39713 5695 9 see see VB 39713 5695 10 somewhat somewhat RB 39713 5695 11 different different JJ 39713 5695 12 characteristics characteristic NNS 39713 5695 13 . . . 39713 5696 1 Take take VB 39713 5696 2 first first RB 39713 5696 3 the the DT 39713 5696 4 kinetic kinetic JJ 39713 5696 5 theory theory NN 39713 5696 6 of of IN 39713 5696 7 gases gas NNS 39713 5696 8 . . . 39713 5697 1 How how WRB 39713 5697 2 should should MD 39713 5697 3 we -PRON- PRP 39713 5697 4 picture picture VB 39713 5697 5 a a DT 39713 5697 6 receptacle receptacle NN 39713 5697 7 filled fill VBN 39713 5697 8 with with IN 39713 5697 9 gas gas NN 39713 5697 10 ? ? . 39713 5698 1 Innumerable innumerable JJ 39713 5698 2 molecules molecule NNS 39713 5698 3 , , , 39713 5698 4 moving move VBG 39713 5698 5 at at IN 39713 5698 6 high high JJ 39713 5698 7 speeds speed NNS 39713 5698 8 , , , 39713 5698 9 flash flash VBP 39713 5698 10 through through IN 39713 5698 11 this this DT 39713 5698 12 receptacle receptacle NN 39713 5698 13 in in IN 39713 5698 14 every every DT 39713 5698 15 direction direction NN 39713 5698 16 . . . 39713 5699 1 At at IN 39713 5699 2 every every DT 39713 5699 3 instant instant NN 39713 5699 4 they -PRON- PRP 39713 5699 5 strike strike VBP 39713 5699 6 against against IN 39713 5699 7 its -PRON- PRP$ 39713 5699 8 walls wall NNS 39713 5699 9 or or CC 39713 5699 10 each each DT 39713 5699 11 other other JJ 39713 5699 12 , , , 39713 5699 13 and and CC 39713 5699 14 these these DT 39713 5699 15 collisions collision NNS 39713 5699 16 happen happen VBP 39713 5699 17 under under IN 39713 5699 18 the the DT 39713 5699 19 most most RBS 39713 5699 20 diverse diverse JJ 39713 5699 21 conditions condition NNS 39713 5699 22 . . . 39713 5700 1 What what WP 39713 5700 2 above above IN 39713 5700 3 all all DT 39713 5700 4 impresses impress VBZ 39713 5700 5 us -PRON- PRP 39713 5700 6 here here RB 39713 5700 7 is be VBZ 39713 5700 8 not not RB 39713 5700 9 the the DT 39713 5700 10 littleness littleness NN 39713 5700 11 of of IN 39713 5700 12 the the DT 39713 5700 13 causes cause NNS 39713 5700 14 , , , 39713 5700 15 but but CC 39713 5700 16 their -PRON- PRP$ 39713 5700 17 complexity complexity NN 39713 5700 18 , , , 39713 5700 19 and and CC 39713 5700 20 yet yet RB 39713 5700 21 the the DT 39713 5700 22 former former JJ 39713 5700 23 element element NN 39713 5700 24 is be VBZ 39713 5700 25 still still RB 39713 5700 26 found find VBN 39713 5700 27 here here RB 39713 5700 28 and and CC 39713 5700 29 plays play VBZ 39713 5700 30 an an DT 39713 5700 31 important important JJ 39713 5700 32 rôle rôle NN 39713 5700 33 . . . 39713 5701 1 If if IN 39713 5701 2 a a DT 39713 5701 3 molecule molecule NN 39713 5701 4 deviated deviate VBN 39713 5701 5 right right RB 39713 5701 6 or or CC 39713 5701 7 left leave VBN 39713 5701 8 from from IN 39713 5701 9 its -PRON- PRP$ 39713 5701 10 trajectory trajectory NN 39713 5701 11 , , , 39713 5701 12 by by IN 39713 5701 13 a a DT 39713 5701 14 very very RB 39713 5701 15 small small JJ 39713 5701 16 quantity quantity NN 39713 5701 17 , , , 39713 5701 18 comparable comparable JJ 39713 5701 19 to to IN 39713 5701 20 the the DT 39713 5701 21 radius radius NN 39713 5701 22 of of IN 39713 5701 23 action action NN 39713 5701 24 of of IN 39713 5701 25 the the DT 39713 5701 26 gaseous gaseous JJ 39713 5701 27 molecules molecule NNS 39713 5701 28 , , , 39713 5701 29 it -PRON- PRP 39713 5701 30 would would MD 39713 5701 31 avoid avoid VB 39713 5701 32 a a DT 39713 5701 33 collision collision NN 39713 5701 34 or or CC 39713 5701 35 sustain sustain VB 39713 5701 36 it -PRON- PRP 39713 5701 37 under under IN 39713 5701 38 different different JJ 39713 5701 39 conditions condition NNS 39713 5701 40 , , , 39713 5701 41 and and CC 39713 5701 42 that that DT 39713 5701 43 would would MD 39713 5701 44 vary vary VB 39713 5701 45 the the DT 39713 5701 46 direction direction NN 39713 5701 47 of of IN 39713 5701 48 its -PRON- PRP$ 39713 5701 49 velocity velocity NN 39713 5701 50 after after IN 39713 5701 51 the the DT 39713 5701 52 impact impact NN 39713 5701 53 , , , 39713 5701 54 perhaps perhaps RB 39713 5701 55 by by IN 39713 5701 56 ninety ninety CD 39713 5701 57 degrees degree NNS 39713 5701 58 or or CC 39713 5701 59 by by IN 39713 5701 60 a a DT 39713 5701 61 hundred hundred CD 39713 5701 62 and and CC 39713 5701 63 eighty eighty CD 39713 5701 64 degrees degree NNS 39713 5701 65 . . . 39713 5702 1 And and CC 39713 5702 2 this this DT 39713 5702 3 is be VBZ 39713 5702 4 not not RB 39713 5702 5 all all DT 39713 5702 6 ; ; : 39713 5702 7 we -PRON- PRP 39713 5702 8 have have VBP 39713 5702 9 just just RB 39713 5702 10 seen see VBN 39713 5702 11 that that IN 39713 5702 12 it -PRON- PRP 39713 5702 13 is be VBZ 39713 5702 14 necessary necessary JJ 39713 5702 15 to to TO 39713 5702 16 deflect deflect VB 39713 5702 17 the the DT 39713 5702 18 molecule molecule NN 39713 5702 19 before before IN 39713 5702 20 the the DT 39713 5702 21 clash clash NN 39713 5702 22 by by RP 39713 5702 23 only only RB 39713 5702 24 an an DT 39713 5702 25 infinitesimal infinitesimal NN 39713 5702 26 , , , 39713 5702 27 to to TO 39713 5702 28 produce produce VB 39713 5702 29 its -PRON- PRP$ 39713 5702 30 deviation deviation NN 39713 5702 31 after after IN 39713 5702 32 the the DT 39713 5702 33 collision collision NN 39713 5702 34 by by IN 39713 5702 35 a a DT 39713 5702 36 finite finite JJ 39713 5702 37 quantity quantity NN 39713 5702 38 . . . 39713 5703 1 If if IN 39713 5703 2 then then RB 39713 5703 3 the the DT 39713 5703 4 molecule molecule NN 39713 5703 5 undergoes undergo VBZ 39713 5703 6 two two CD 39713 5703 7 successive successive JJ 39713 5703 8 shocks shock NNS 39713 5703 9 , , , 39713 5703 10 it -PRON- PRP 39713 5703 11 will will MD 39713 5703 12 suffice suffice VB 39713 5703 13 to to TO 39713 5703 14 deflect deflect VB 39713 5703 15 it -PRON- PRP 39713 5703 16 before before IN 39713 5703 17 the the DT 39713 5703 18 first first JJ 39713 5703 19 by by IN 39713 5703 20 an an DT 39713 5703 21 infinitesimal infinitesimal NN 39713 5703 22 of of IN 39713 5703 23 the the DT 39713 5703 24 second second JJ 39713 5703 25 order order NN 39713 5703 26 , , , 39713 5703 27 for for IN 39713 5703 28 it -PRON- PRP 39713 5703 29 to to TO 39713 5703 30 deviate deviate VB 39713 5703 31 after after IN 39713 5703 32 the the DT 39713 5703 33 first first JJ 39713 5703 34 encounter encounter NN 39713 5703 35 by by IN 39713 5703 36 an an DT 39713 5703 37 infinitesimal infinitesimal NN 39713 5703 38 of of IN 39713 5703 39 the the DT 39713 5703 40 first first JJ 39713 5703 41 order order NN 39713 5703 42 , , , 39713 5703 43 and and CC 39713 5703 44 after after IN 39713 5703 45 the the DT 39713 5703 46 second second JJ 39713 5703 47 hit hit NN 39713 5703 48 , , , 39713 5703 49 by by IN 39713 5703 50 a a DT 39713 5703 51 finite finite JJ 39713 5703 52 quantity quantity NN 39713 5703 53 . . . 39713 5704 1 And and CC 39713 5704 2 the the DT 39713 5704 3 molecule molecule NN 39713 5704 4 will will MD 39713 5704 5 not not RB 39713 5704 6 undergo undergo VB 39713 5704 7 merely merely RB 39713 5704 8 two two CD 39713 5704 9 shocks shock NNS 39713 5704 10 ; ; : 39713 5704 11 it -PRON- PRP 39713 5704 12 will will MD 39713 5704 13 undergo undergo VB 39713 5704 14 a a DT 39713 5704 15 very very RB 39713 5704 16 great great JJ 39713 5704 17 number number NN 39713 5704 18 per per IN 39713 5704 19 second second NN 39713 5704 20 . . . 39713 5705 1 So so RB 39713 5705 2 that that IN 39713 5705 3 if if IN 39713 5705 4 the the DT 39713 5705 5 first first JJ 39713 5705 6 shock shock NN 39713 5705 7 has have VBZ 39713 5705 8 multiplied multiply VBN 39713 5705 9 the the DT 39713 5705 10 deviation deviation NN 39713 5705 11 by by IN 39713 5705 12 a a DT 39713 5705 13 very very RB 39713 5705 14 large large JJ 39713 5705 15 number number NN 39713 5705 16 _ _ NNP 39713 5705 17 A A NNP 39713 5705 18 _ _ NNP 39713 5705 19 , , , 39713 5705 20 after after IN 39713 5705 21 _ _ NNP 39713 5705 22 n n CC 39713 5705 23 _ _ NNP 39713 5705 24 shocks shock NNS 39713 5705 25 it -PRON- PRP 39713 5705 26 will will MD 39713 5705 27 be be VB 39713 5705 28 multiplied multiply VBN 39713 5705 29 by by IN 39713 5705 30 _ _ NNP 39713 5705 31 A_^{_n A_^{_n NNP 39713 5705 32 _ _ NNP 39713 5705 33 } } -RRB- 39713 5705 34 . . . 39713 5706 1 It -PRON- PRP 39713 5706 2 will will MD 39713 5706 3 therefore therefore RB 39713 5706 4 become become VB 39713 5706 5 very very RB 39713 5706 6 great great JJ 39713 5706 7 not not RB 39713 5706 8 merely merely RB 39713 5706 9 because because IN 39713 5706 10 _ _ NNP 39713 5706 11 A A NNP 39713 5706 12 _ _ NNP 39713 5706 13 is be VBZ 39713 5706 14 large large JJ 39713 5706 15 , , , 39713 5706 16 that that DT 39713 5706 17 is be VBZ 39713 5706 18 to to TO 39713 5706 19 say say VB 39713 5706 20 because because IN 39713 5706 21 little little JJ 39713 5706 22 causes cause NNS 39713 5706 23 produce produce VBP 39713 5706 24 big big JJ 39713 5706 25 effects effect NNS 39713 5706 26 , , , 39713 5706 27 but but CC 39713 5706 28 because because IN 39713 5706 29 the the DT 39713 5706 30 exponent exponent NN 39713 5706 31 _ _ NNP 39713 5706 32 n n CC 39713 5706 33 _ _ NNP 39713 5706 34 is be VBZ 39713 5706 35 large large JJ 39713 5706 36 , , , 39713 5706 37 that that DT 39713 5706 38 is be VBZ 39713 5706 39 to to TO 39713 5706 40 say say VB 39713 5706 41 because because IN 39713 5706 42 the the DT 39713 5706 43 shocks shock NNS 39713 5706 44 are be VBP 39713 5706 45 very very RB 39713 5706 46 numerous numerous JJ 39713 5706 47 and and CC 39713 5706 48 the the DT 39713 5706 49 causes cause NNS 39713 5706 50 very very RB 39713 5706 51 complex complex JJ 39713 5706 52 . . . 39713 5707 1 Take take VB 39713 5707 2 a a DT 39713 5707 3 second second JJ 39713 5707 4 example example NN 39713 5707 5 . . . 39713 5708 1 Why why WRB 39713 5708 2 do do VBP 39713 5708 3 the the DT 39713 5708 4 drops drop NNS 39713 5708 5 of of IN 39713 5708 6 rain rain NN 39713 5708 7 in in IN 39713 5708 8 a a DT 39713 5708 9 shower shower NN 39713 5708 10 seem seem VBP 39713 5708 11 to to TO 39713 5708 12 be be VB 39713 5708 13 distributed distribute VBN 39713 5708 14 at at IN 39713 5708 15 random random JJ 39713 5708 16 ? ? . 39713 5709 1 This this DT 39713 5709 2 is be VBZ 39713 5709 3 again again RB 39713 5709 4 because because IN 39713 5709 5 of of IN 39713 5709 6 the the DT 39713 5709 7 complexity complexity NN 39713 5709 8 of of IN 39713 5709 9 the the DT 39713 5709 10 causes cause NNS 39713 5709 11 which which WDT 39713 5709 12 determine determine VBP 39713 5709 13 their -PRON- PRP$ 39713 5709 14 formation formation NN 39713 5709 15 . . . 39713 5710 1 Ions ion NNS 39713 5710 2 are be VBP 39713 5710 3 distributed distribute VBN 39713 5710 4 in in IN 39713 5710 5 the the DT 39713 5710 6 atmosphere atmosphere NN 39713 5710 7 . . . 39713 5711 1 For for IN 39713 5711 2 a a DT 39713 5711 3 long long JJ 39713 5711 4 while while IN 39713 5711 5 they -PRON- PRP 39713 5711 6 have have VBP 39713 5711 7 been be VBN 39713 5711 8 subjected subject VBN 39713 5711 9 to to IN 39713 5711 10 air air NN 39713 5711 11 - - HYPH 39713 5711 12 currents current NNS 39713 5711 13 constantly constantly RB 39713 5711 14 changing change VBG 39713 5711 15 , , , 39713 5711 16 they -PRON- PRP 39713 5711 17 have have VBP 39713 5711 18 been be VBN 39713 5711 19 caught catch VBN 39713 5711 20 in in IN 39713 5711 21 very very RB 39713 5711 22 small small JJ 39713 5711 23 whirlwinds whirlwind NNS 39713 5711 24 , , , 39713 5711 25 so so IN 39713 5711 26 that that IN 39713 5711 27 their -PRON- PRP$ 39713 5711 28 final final JJ 39713 5711 29 distribution distribution NN 39713 5711 30 has have VBZ 39713 5711 31 no no RB 39713 5711 32 longer longer RB 39713 5711 33 any any DT 39713 5711 34 relation relation NN 39713 5711 35 to to IN 39713 5711 36 their -PRON- PRP$ 39713 5711 37 initial initial JJ 39713 5711 38 distribution distribution NN 39713 5711 39 . . . 39713 5712 1 Suddenly suddenly RB 39713 5712 2 the the DT 39713 5712 3 temperature temperature NN 39713 5712 4 falls fall VBZ 39713 5712 5 , , , 39713 5712 6 vapor vapor NN 39713 5712 7 condenses condense NNS 39713 5712 8 , , , 39713 5712 9 and and CC 39713 5712 10 each each DT 39713 5712 11 of of IN 39713 5712 12 these these DT 39713 5712 13 ions ion NNS 39713 5712 14 becomes become VBZ 39713 5712 15 the the DT 39713 5712 16 center center NN 39713 5712 17 of of IN 39713 5712 18 a a DT 39713 5712 19 drop drop NN 39713 5712 20 of of IN 39713 5712 21 rain rain NN 39713 5712 22 . . . 39713 5713 1 To to TO 39713 5713 2 know know VB 39713 5713 3 what what WP 39713 5713 4 will will MD 39713 5713 5 be be VB 39713 5713 6 the the DT 39713 5713 7 distribution distribution NN 39713 5713 8 of of IN 39713 5713 9 these these DT 39713 5713 10 drops drop NNS 39713 5713 11 and and CC 39713 5713 12 how how WRB 39713 5713 13 many many JJ 39713 5713 14 will will MD 39713 5713 15 fall fall VB 39713 5713 16 on on IN 39713 5713 17 each each DT 39713 5713 18 paving paving NN 39713 5713 19 - - HYPH 39713 5713 20 stone stone NN 39713 5713 21 , , , 39713 5713 22 it -PRON- PRP 39713 5713 23 would would MD 39713 5713 24 not not RB 39713 5713 25 be be VB 39713 5713 26 sufficient sufficient JJ 39713 5713 27 to to TO 39713 5713 28 know know VB 39713 5713 29 the the DT 39713 5713 30 initial initial JJ 39713 5713 31 situation situation NN 39713 5713 32 of of IN 39713 5713 33 the the DT 39713 5713 34 ions ion NNS 39713 5713 35 , , , 39713 5713 36 it -PRON- PRP 39713 5713 37 would would MD 39713 5713 38 be be VB 39713 5713 39 necessary necessary JJ 39713 5713 40 to to TO 39713 5713 41 compute compute VB 39713 5713 42 the the DT 39713 5713 43 effect effect NN 39713 5713 44 of of IN 39713 5713 45 a a DT 39713 5713 46 thousand thousand CD 39713 5713 47 little little JJ 39713 5713 48 capricious capricious JJ 39713 5713 49 air air NN 39713 5713 50 - - HYPH 39713 5713 51 currents current NNS 39713 5713 52 . . . 39713 5714 1 And and CC 39713 5714 2 again again RB 39713 5714 3 it -PRON- PRP 39713 5714 4 is be VBZ 39713 5714 5 the the DT 39713 5714 6 same same JJ 39713 5714 7 if if IN 39713 5714 8 we -PRON- PRP 39713 5714 9 put put VBP 39713 5714 10 grains grain NNS 39713 5714 11 of of IN 39713 5714 12 powder powder NN 39713 5714 13 in in IN 39713 5714 14 suspension suspension NN 39713 5714 15 in in IN 39713 5714 16 water water NN 39713 5714 17 . . . 39713 5715 1 The the DT 39713 5715 2 vase vase NN 39713 5715 3 is be VBZ 39713 5715 4 ploughed plough VBN 39713 5715 5 by by IN 39713 5715 6 currents current NNS 39713 5715 7 whose whose WP$ 39713 5715 8 law law NN 39713 5715 9 we -PRON- PRP 39713 5715 10 know know VBP 39713 5715 11 not not RB 39713 5715 12 , , , 39713 5715 13 we -PRON- PRP 39713 5715 14 only only RB 39713 5715 15 know know VBP 39713 5715 16 it -PRON- PRP 39713 5715 17 is be VBZ 39713 5715 18 very very RB 39713 5715 19 complicated complicated JJ 39713 5715 20 . . . 39713 5716 1 At at IN 39713 5716 2 the the DT 39713 5716 3 end end NN 39713 5716 4 of of IN 39713 5716 5 a a DT 39713 5716 6 certain certain JJ 39713 5716 7 time time NN 39713 5716 8 the the DT 39713 5716 9 grains grain NNS 39713 5716 10 will will MD 39713 5716 11 be be VB 39713 5716 12 distributed distribute VBN 39713 5716 13 at at IN 39713 5716 14 random random JJ 39713 5716 15 , , , 39713 5716 16 that that DT 39713 5716 17 is be VBZ 39713 5716 18 to to TO 39713 5716 19 say say VB 39713 5716 20 uniformly uniformly RB 39713 5716 21 , , , 39713 5716 22 in in IN 39713 5716 23 the the DT 39713 5716 24 vase vase NN 39713 5716 25 ; ; : 39713 5716 26 and and CC 39713 5716 27 this this DT 39713 5716 28 is be VBZ 39713 5716 29 due due JJ 39713 5716 30 precisely precisely RB 39713 5716 31 to to IN 39713 5716 32 the the DT 39713 5716 33 complexity complexity NN 39713 5716 34 of of IN 39713 5716 35 these these DT 39713 5716 36 currents current NNS 39713 5716 37 . . . 39713 5717 1 If if IN 39713 5717 2 they -PRON- PRP 39713 5717 3 obeyed obey VBD 39713 5717 4 some some DT 39713 5717 5 simple simple JJ 39713 5717 6 law law NN 39713 5717 7 , , , 39713 5717 8 if if IN 39713 5717 9 for for IN 39713 5717 10 example example NN 39713 5717 11 the the DT 39713 5717 12 vase vase NN 39713 5717 13 revolved revolve VBN 39713 5717 14 and and CC 39713 5717 15 the the DT 39713 5717 16 currents current NNS 39713 5717 17 circulated circulate VBN 39713 5717 18 around around IN 39713 5717 19 the the DT 39713 5717 20 axis axis NN 39713 5717 21 of of IN 39713 5717 22 the the DT 39713 5717 23 vase vase NN 39713 5717 24 , , , 39713 5717 25 describing describe VBG 39713 5717 26 circles circle NNS 39713 5717 27 , , , 39713 5717 28 it -PRON- PRP 39713 5717 29 would would MD 39713 5717 30 no no RB 39713 5717 31 longer longer RB 39713 5717 32 be be VB 39713 5717 33 the the DT 39713 5717 34 same same JJ 39713 5717 35 , , , 39713 5717 36 since since IN 39713 5717 37 each each DT 39713 5717 38 grain grain NN 39713 5717 39 would would MD 39713 5717 40 retain retain VB 39713 5717 41 its -PRON- PRP$ 39713 5717 42 initial initial JJ 39713 5717 43 altitude altitude NN 39713 5717 44 and and CC 39713 5717 45 its -PRON- PRP$ 39713 5717 46 initial initial JJ 39713 5717 47 distance distance NN 39713 5717 48 from from IN 39713 5717 49 the the DT 39713 5717 50 axis axi NNS 39713 5717 51 . . . 39713 5718 1 We -PRON- PRP 39713 5718 2 should should MD 39713 5718 3 reach reach VB 39713 5718 4 the the DT 39713 5718 5 same same JJ 39713 5718 6 result result NN 39713 5718 7 in in IN 39713 5718 8 considering consider VBG 39713 5718 9 the the DT 39713 5718 10 mixing mixing NN 39713 5718 11 of of IN 39713 5718 12 two two CD 39713 5718 13 liquids liquid NNS 39713 5718 14 or or CC 39713 5718 15 of of IN 39713 5718 16 two two CD 39713 5718 17 fine fine RB 39713 5718 18 - - HYPH 39713 5718 19 grained grain VBN 39713 5718 20 powders powder NNS 39713 5718 21 . . . 39713 5719 1 And and CC 39713 5719 2 to to TO 39713 5719 3 take take VB 39713 5719 4 a a DT 39713 5719 5 grosser gross JJR 39713 5719 6 example example NN 39713 5719 7 , , , 39713 5719 8 this this DT 39713 5719 9 is be VBZ 39713 5719 10 also also RB 39713 5719 11 what what WP 39713 5719 12 happens happen VBZ 39713 5719 13 when when WRB 39713 5719 14 we -PRON- PRP 39713 5719 15 shuffle shuffle VBP 39713 5719 16 playing playing NN 39713 5719 17 - - HYPH 39713 5719 18 cards card NNS 39713 5719 19 . . . 39713 5720 1 At at IN 39713 5720 2 each each DT 39713 5720 3 stroke stroke NN 39713 5720 4 the the DT 39713 5720 5 cards card NNS 39713 5720 6 undergo undergo VBP 39713 5720 7 a a DT 39713 5720 8 permutation permutation NN 39713 5720 9 ( ( -LRB- 39713 5720 10 analogous analogous JJ 39713 5720 11 to to IN 39713 5720 12 that that DT 39713 5720 13 studied study VBN 39713 5720 14 in in IN 39713 5720 15 the the DT 39713 5720 16 theory theory NN 39713 5720 17 of of IN 39713 5720 18 substitutions substitution NNS 39713 5720 19 ) ) -RRB- 39713 5720 20 . . . 39713 5721 1 What what WP 39713 5721 2 will will MD 39713 5721 3 happen happen VB 39713 5721 4 ? ? . 39713 5722 1 The the DT 39713 5722 2 probability probability NN 39713 5722 3 of of IN 39713 5722 4 a a DT 39713 5722 5 particular particular JJ 39713 5722 6 permutation permutation NN 39713 5722 7 ( ( -LRB- 39713 5722 8 for for IN 39713 5722 9 example example NN 39713 5722 10 , , , 39713 5722 11 that that DT 39713 5722 12 bringing bring VBG 39713 5722 13 to to IN 39713 5722 14 the the DT 39713 5722 15 _ _ NNP 39713 5722 16 n_th n_th NNP 39713 5722 17 place place VB 39713 5722 18 the the DT 39713 5722 19 card card NN 39713 5722 20 occupying occupy VBG 39713 5722 21 the the DT 39713 5722 22 [ [ -LRB- 39713 5722 23 phi](_n_)th phi](_n_)th NN 39713 5722 24 place place NN 39713 5722 25 before before IN 39713 5722 26 the the DT 39713 5722 27 permutation permutation NN 39713 5722 28 ) ) -RRB- 39713 5722 29 depends depend VBZ 39713 5722 30 upon upon IN 39713 5722 31 the the DT 39713 5722 32 player player NN 39713 5722 33 's 's POS 39713 5722 34 habits habit NNS 39713 5722 35 . . . 39713 5723 1 But but CC 39713 5723 2 if if IN 39713 5723 3 this this DT 39713 5723 4 player player NN 39713 5723 5 shuffles shuffle VBZ 39713 5723 6 the the DT 39713 5723 7 cards card NNS 39713 5723 8 long long RB 39713 5723 9 enough enough RB 39713 5723 10 , , , 39713 5723 11 there there EX 39713 5723 12 will will MD 39713 5723 13 be be VB 39713 5723 14 a a DT 39713 5723 15 great great JJ 39713 5723 16 number number NN 39713 5723 17 of of IN 39713 5723 18 successive successive JJ 39713 5723 19 permutations permutation NNS 39713 5723 20 , , , 39713 5723 21 and and CC 39713 5723 22 the the DT 39713 5723 23 resulting result VBG 39713 5723 24 final final JJ 39713 5723 25 order order NN 39713 5723 26 will will MD 39713 5723 27 no no RB 39713 5723 28 longer longer RB 39713 5723 29 be be VB 39713 5723 30 governed govern VBN 39713 5723 31 by by IN 39713 5723 32 aught aught JJ 39713 5723 33 but but CC 39713 5723 34 chance chance NN 39713 5723 35 ; ; : 39713 5723 36 I -PRON- PRP 39713 5723 37 mean mean VBP 39713 5723 38 to to TO 39713 5723 39 say say VB 39713 5723 40 that that IN 39713 5723 41 all all DT 39713 5723 42 possible possible JJ 39713 5723 43 orders order NNS 39713 5723 44 will will MD 39713 5723 45 be be VB 39713 5723 46 equally equally RB 39713 5723 47 probable probable JJ 39713 5723 48 . . . 39713 5724 1 It -PRON- PRP 39713 5724 2 is be VBZ 39713 5724 3 to to IN 39713 5724 4 the the DT 39713 5724 5 great great JJ 39713 5724 6 number number NN 39713 5724 7 of of IN 39713 5724 8 successive successive JJ 39713 5724 9 permutations permutation NNS 39713 5724 10 , , , 39713 5724 11 that that DT 39713 5724 12 is be VBZ 39713 5724 13 to to TO 39713 5724 14 say say VB 39713 5724 15 to to IN 39713 5724 16 the the DT 39713 5724 17 complexity complexity NN 39713 5724 18 of of IN 39713 5724 19 the the DT 39713 5724 20 phenomenon phenomenon NN 39713 5724 21 , , , 39713 5724 22 that that IN 39713 5724 23 this this DT 39713 5724 24 result result NN 39713 5724 25 is be VBZ 39713 5724 26 due due JJ 39713 5724 27 . . . 39713 5725 1 A a DT 39713 5725 2 final final JJ 39713 5725 3 word word NN 39713 5725 4 about about IN 39713 5725 5 the the DT 39713 5725 6 theory theory NN 39713 5725 7 of of IN 39713 5725 8 errors error NNS 39713 5725 9 . . . 39713 5726 1 Here here RB 39713 5726 2 it -PRON- PRP 39713 5726 3 is be VBZ 39713 5726 4 that that IN 39713 5726 5 the the DT 39713 5726 6 causes cause NNS 39713 5726 7 are be VBP 39713 5726 8 complex complex JJ 39713 5726 9 and and CC 39713 5726 10 multiple multiple JJ 39713 5726 11 . . . 39713 5727 1 To to IN 39713 5727 2 how how WRB 39713 5727 3 many many JJ 39713 5727 4 snares snare NNS 39713 5727 5 is be VBZ 39713 5727 6 not not RB 39713 5727 7 the the DT 39713 5727 8 observer observer NN 39713 5727 9 exposed expose VBN 39713 5727 10 , , , 39713 5727 11 even even RB 39713 5727 12 with with IN 39713 5727 13 the the DT 39713 5727 14 best good JJS 39713 5727 15 instrument instrument NN 39713 5727 16 ! ! . 39713 5728 1 He -PRON- PRP 39713 5728 2 should should MD 39713 5728 3 apply apply VB 39713 5728 4 himself -PRON- PRP 39713 5728 5 to to IN 39713 5728 6 finding find VBG 39713 5728 7 out out RP 39713 5728 8 the the DT 39713 5728 9 largest large JJS 39713 5728 10 and and CC 39713 5728 11 avoiding avoid VBG 39713 5728 12 them -PRON- PRP 39713 5728 13 . . . 39713 5729 1 These these DT 39713 5729 2 are be VBP 39713 5729 3 the the DT 39713 5729 4 ones one NNS 39713 5729 5 giving give VBG 39713 5729 6 birth birth NN 39713 5729 7 to to IN 39713 5729 8 systematic systematic JJ 39713 5729 9 errors error NNS 39713 5729 10 . . . 39713 5730 1 But but CC 39713 5730 2 when when WRB 39713 5730 3 he -PRON- PRP 39713 5730 4 has have VBZ 39713 5730 5 eliminated eliminate VBN 39713 5730 6 those those DT 39713 5730 7 , , , 39713 5730 8 admitting admit VBG 39713 5730 9 that that IN 39713 5730 10 he -PRON- PRP 39713 5730 11 succeeds succeed VBZ 39713 5730 12 , , , 39713 5730 13 there there EX 39713 5730 14 remain remain VBP 39713 5730 15 many many JJ 39713 5730 16 small small JJ 39713 5730 17 ones one NNS 39713 5730 18 which which WDT 39713 5730 19 , , , 39713 5730 20 their -PRON- PRP$ 39713 5730 21 effects effect NNS 39713 5730 22 accumulating accumulate VBG 39713 5730 23 , , , 39713 5730 24 may may MD 39713 5730 25 become become VB 39713 5730 26 dangerous dangerous JJ 39713 5730 27 . . . 39713 5731 1 Thence thence NN 39713 5731 2 come come VB 39713 5731 3 the the DT 39713 5731 4 accidental accidental JJ 39713 5731 5 errors error NNS 39713 5731 6 ; ; : 39713 5731 7 and and CC 39713 5731 8 we -PRON- PRP 39713 5731 9 attribute attribute VBP 39713 5731 10 them -PRON- PRP 39713 5731 11 to to TO 39713 5731 12 chance chance VB 39713 5731 13 because because IN 39713 5731 14 their -PRON- PRP$ 39713 5731 15 causes cause NNS 39713 5731 16 are be VBP 39713 5731 17 too too RB 39713 5731 18 complicated complicated JJ 39713 5731 19 and and CC 39713 5731 20 too too RB 39713 5731 21 numerous numerous JJ 39713 5731 22 . . . 39713 5732 1 Here here RB 39713 5732 2 again again RB 39713 5732 3 we -PRON- PRP 39713 5732 4 have have VBP 39713 5732 5 only only RB 39713 5732 6 little little JJ 39713 5732 7 causes cause NNS 39713 5732 8 , , , 39713 5732 9 but but CC 39713 5732 10 each each DT 39713 5732 11 of of IN 39713 5732 12 them -PRON- PRP 39713 5732 13 would would MD 39713 5732 14 produce produce VB 39713 5732 15 only only RB 39713 5732 16 a a DT 39713 5732 17 slight slight JJ 39713 5732 18 effect effect NN 39713 5732 19 ; ; : 39713 5732 20 it -PRON- PRP 39713 5732 21 is be VBZ 39713 5732 22 by by IN 39713 5732 23 their -PRON- PRP$ 39713 5732 24 union union NN 39713 5732 25 and and CC 39713 5732 26 their -PRON- PRP$ 39713 5732 27 number number NN 39713 5732 28 that that IN 39713 5732 29 their -PRON- PRP$ 39713 5732 30 effects effect NNS 39713 5732 31 become become VBP 39713 5732 32 formidable formidable JJ 39713 5732 33 . . . 39713 5733 1 V V NNP 39713 5733 2 We -PRON- PRP 39713 5733 3 may may MD 39713 5733 4 take take VB 39713 5733 5 still still RB 39713 5733 6 a a DT 39713 5733 7 third third JJ 39713 5733 8 point point NN 39713 5733 9 of of IN 39713 5733 10 view view NN 39713 5733 11 , , , 39713 5733 12 less less RBR 39713 5733 13 important important JJ 39713 5733 14 than than IN 39713 5733 15 the the DT 39713 5733 16 first first JJ 39713 5733 17 two two CD 39713 5733 18 and and CC 39713 5733 19 upon upon IN 39713 5733 20 which which WDT 39713 5733 21 I -PRON- PRP 39713 5733 22 shall shall MD 39713 5733 23 lay lay VB 39713 5733 24 less less JJR 39713 5733 25 stress stress NN 39713 5733 26 . . . 39713 5734 1 When when WRB 39713 5734 2 we -PRON- PRP 39713 5734 3 seek seek VBP 39713 5734 4 to to TO 39713 5734 5 foresee foresee VB 39713 5734 6 an an DT 39713 5734 7 event event NN 39713 5734 8 and and CC 39713 5734 9 examine examine VB 39713 5734 10 its -PRON- PRP$ 39713 5734 11 antecedents antecedent NNS 39713 5734 12 , , , 39713 5734 13 we -PRON- PRP 39713 5734 14 strive strive VBP 39713 5734 15 to to TO 39713 5734 16 search search VB 39713 5734 17 into into IN 39713 5734 18 the the DT 39713 5734 19 anterior anterior JJ 39713 5734 20 situation situation NN 39713 5734 21 . . . 39713 5735 1 This this DT 39713 5735 2 could could MD 39713 5735 3 not not RB 39713 5735 4 be be VB 39713 5735 5 done do VBN 39713 5735 6 for for IN 39713 5735 7 all all DT 39713 5735 8 parts part NNS 39713 5735 9 of of IN 39713 5735 10 the the DT 39713 5735 11 universe universe NN 39713 5735 12 and and CC 39713 5735 13 we -PRON- PRP 39713 5735 14 are be VBP 39713 5735 15 content content JJ 39713 5735 16 to to TO 39713 5735 17 know know VB 39713 5735 18 what what WP 39713 5735 19 is be VBZ 39713 5735 20 passing pass VBG 39713 5735 21 in in IN 39713 5735 22 the the DT 39713 5735 23 neighborhood neighborhood NN 39713 5735 24 of of IN 39713 5735 25 the the DT 39713 5735 26 point point NN 39713 5735 27 where where WRB 39713 5735 28 the the DT 39713 5735 29 event event NN 39713 5735 30 should should MD 39713 5735 31 occur occur VB 39713 5735 32 , , , 39713 5735 33 or or CC 39713 5735 34 what what WP 39713 5735 35 would would MD 39713 5735 36 appear appear VB 39713 5735 37 to to TO 39713 5735 38 have have VB 39713 5735 39 some some DT 39713 5735 40 relation relation NN 39713 5735 41 to to IN 39713 5735 42 it -PRON- PRP 39713 5735 43 . . . 39713 5736 1 An an DT 39713 5736 2 examination examination NN 39713 5736 3 can can MD 39713 5736 4 not not RB 39713 5736 5 be be VB 39713 5736 6 complete complete JJ 39713 5736 7 and and CC 39713 5736 8 we -PRON- PRP 39713 5736 9 must must MD 39713 5736 10 know know VB 39713 5736 11 how how WRB 39713 5736 12 to to TO 39713 5736 13 choose choose VB 39713 5736 14 . . . 39713 5737 1 But but CC 39713 5737 2 it -PRON- PRP 39713 5737 3 may may MD 39713 5737 4 happen happen VB 39713 5737 5 that that IN 39713 5737 6 we -PRON- PRP 39713 5737 7 have have VBP 39713 5737 8 passed pass VBN 39713 5737 9 by by IN 39713 5737 10 circumstances circumstance NNS 39713 5737 11 which which WDT 39713 5737 12 at at IN 39713 5737 13 first first JJ 39713 5737 14 sight sight NN 39713 5737 15 seemed seem VBD 39713 5737 16 completely completely RB 39713 5737 17 foreign foreign JJ 39713 5737 18 to to IN 39713 5737 19 the the DT 39713 5737 20 foreseen foreseen JJ 39713 5737 21 happening happening NN 39713 5737 22 , , , 39713 5737 23 to to IN 39713 5737 24 which which WDT 39713 5737 25 one one PRP 39713 5737 26 would would MD 39713 5737 27 never never RB 39713 5737 28 have have VB 39713 5737 29 dreamed dream VBN 39713 5737 30 of of IN 39713 5737 31 attributing attribute VBG 39713 5737 32 any any DT 39713 5737 33 influence influence NN 39713 5737 34 and and CC 39713 5737 35 which which WDT 39713 5737 36 nevertheless nevertheless RB 39713 5737 37 , , , 39713 5737 38 contrary contrary JJ 39713 5737 39 to to IN 39713 5737 40 all all DT 39713 5737 41 anticipation anticipation NN 39713 5737 42 , , , 39713 5737 43 come come VB 39713 5737 44 to to TO 39713 5737 45 play play VB 39713 5737 46 an an DT 39713 5737 47 important important JJ 39713 5737 48 rôle rôle NN 39713 5737 49 . . . 39713 5738 1 A a DT 39713 5738 2 man man NN 39713 5738 3 passes pass VBZ 39713 5738 4 in in IN 39713 5738 5 the the DT 39713 5738 6 street street NN 39713 5738 7 going go VBG 39713 5738 8 to to IN 39713 5738 9 his -PRON- PRP$ 39713 5738 10 business business NN 39713 5738 11 ; ; : 39713 5738 12 some some DT 39713 5738 13 one one NN 39713 5738 14 knowing know VBG 39713 5738 15 the the DT 39713 5738 16 business business NN 39713 5738 17 could could MD 39713 5738 18 have have VB 39713 5738 19 told tell VBN 39713 5738 20 why why WRB 39713 5738 21 he -PRON- PRP 39713 5738 22 started start VBD 39713 5738 23 at at IN 39713 5738 24 such such PDT 39713 5738 25 a a DT 39713 5738 26 time time NN 39713 5738 27 and and CC 39713 5738 28 went go VBD 39713 5738 29 by by IN 39713 5738 30 such such PDT 39713 5738 31 a a DT 39713 5738 32 street street NN 39713 5738 33 . . . 39713 5739 1 On on IN 39713 5739 2 the the DT 39713 5739 3 roof roof NN 39713 5739 4 works work VBZ 39713 5739 5 a a DT 39713 5739 6 tiler tiler NN 39713 5739 7 . . . 39713 5740 1 The the DT 39713 5740 2 contractor contractor NN 39713 5740 3 employing employ VBG 39713 5740 4 him -PRON- PRP 39713 5740 5 could could MD 39713 5740 6 in in IN 39713 5740 7 a a DT 39713 5740 8 certain certain JJ 39713 5740 9 measure measure NN 39713 5740 10 foresee foresee VB 39713 5740 11 what what WP 39713 5740 12 he -PRON- PRP 39713 5740 13 would would MD 39713 5740 14 do do VB 39713 5740 15 . . . 39713 5741 1 But but CC 39713 5741 2 the the DT 39713 5741 3 passer passer NN 39713 5741 4 - - HYPH 39713 5741 5 by by NN 39713 5741 6 scarcely scarcely RB 39713 5741 7 thinks think VBZ 39713 5741 8 of of IN 39713 5741 9 the the DT 39713 5741 10 tiler tiler NN 39713 5741 11 , , , 39713 5741 12 nor nor CC 39713 5741 13 the the DT 39713 5741 14 tiler tiler NN 39713 5741 15 of of IN 39713 5741 16 him -PRON- PRP 39713 5741 17 ; ; : 39713 5741 18 they -PRON- PRP 39713 5741 19 seem seem VBP 39713 5741 20 to to TO 39713 5741 21 belong belong VB 39713 5741 22 to to IN 39713 5741 23 two two CD 39713 5741 24 worlds world NNS 39713 5741 25 completely completely RB 39713 5741 26 foreign foreign JJ 39713 5741 27 to to IN 39713 5741 28 one one CD 39713 5741 29 another another DT 39713 5741 30 . . . 39713 5742 1 And and CC 39713 5742 2 yet yet RB 39713 5742 3 the the DT 39713 5742 4 tiler tiler NN 39713 5742 5 drops drop VBZ 39713 5742 6 a a DT 39713 5742 7 tile tile NN 39713 5742 8 which which WDT 39713 5742 9 kills kill VBZ 39713 5742 10 the the DT 39713 5742 11 man man NN 39713 5742 12 , , , 39713 5742 13 and and CC 39713 5742 14 we -PRON- PRP 39713 5742 15 do do VBP 39713 5742 16 not not RB 39713 5742 17 hesitate hesitate VB 39713 5742 18 to to TO 39713 5742 19 say say VB 39713 5742 20 this this DT 39713 5742 21 is be VBZ 39713 5742 22 chance chance NN 39713 5742 23 . . . 39713 5743 1 Our -PRON- PRP$ 39713 5743 2 weakness weakness NN 39713 5743 3 forbids forbid VBZ 39713 5743 4 our -PRON- PRP$ 39713 5743 5 considering consider VBG 39713 5743 6 the the DT 39713 5743 7 entire entire JJ 39713 5743 8 universe universe NN 39713 5743 9 and and CC 39713 5743 10 makes make VBZ 39713 5743 11 us -PRON- PRP 39713 5743 12 cut cut VB 39713 5743 13 it -PRON- PRP 39713 5743 14 up up RP 39713 5743 15 into into IN 39713 5743 16 slices slice NNS 39713 5743 17 . . . 39713 5744 1 We -PRON- PRP 39713 5744 2 try try VBP 39713 5744 3 to to TO 39713 5744 4 do do VB 39713 5744 5 this this DT 39713 5744 6 as as IN 39713 5744 7 little little JJ 39713 5744 8 artificially artificially RB 39713 5744 9 as as IN 39713 5744 10 possible possible JJ 39713 5744 11 . . . 39713 5745 1 And and CC 39713 5745 2 yet yet RB 39713 5745 3 it -PRON- PRP 39713 5745 4 happens happen VBZ 39713 5745 5 from from IN 39713 5745 6 time time NN 39713 5745 7 to to IN 39713 5745 8 time time NN 39713 5745 9 that that IN 39713 5745 10 two two CD 39713 5745 11 of of IN 39713 5745 12 these these DT 39713 5745 13 slices slice NNS 39713 5745 14 react react VBP 39713 5745 15 upon upon IN 39713 5745 16 each each DT 39713 5745 17 other other JJ 39713 5745 18 . . . 39713 5746 1 The the DT 39713 5746 2 effects effect NNS 39713 5746 3 of of IN 39713 5746 4 this this DT 39713 5746 5 mutual mutual JJ 39713 5746 6 action action NN 39713 5746 7 then then RB 39713 5746 8 seem seem VBP 39713 5746 9 to to IN 39713 5746 10 us -PRON- PRP 39713 5746 11 to to TO 39713 5746 12 be be VB 39713 5746 13 due due IN 39713 5746 14 to to IN 39713 5746 15 chance chance NN 39713 5746 16 . . . 39713 5747 1 Is be VBZ 39713 5747 2 this this DT 39713 5747 3 a a DT 39713 5747 4 third third JJ 39713 5747 5 way way NN 39713 5747 6 of of IN 39713 5747 7 conceiving conceiving NN 39713 5747 8 chance chance NN 39713 5747 9 ? ? . 39713 5748 1 Not not RB 39713 5748 2 always always RB 39713 5748 3 ; ; : 39713 5748 4 in in IN 39713 5748 5 fact fact NN 39713 5748 6 most most RBS 39713 5748 7 often often RB 39713 5748 8 we -PRON- PRP 39713 5748 9 are be VBP 39713 5748 10 carried carry VBN 39713 5748 11 back back RB 39713 5748 12 to to IN 39713 5748 13 the the DT 39713 5748 14 first first JJ 39713 5748 15 or or CC 39713 5748 16 the the DT 39713 5748 17 second second JJ 39713 5748 18 . . . 39713 5749 1 Whenever whenever WRB 39713 5749 2 two two CD 39713 5749 3 worlds world NNS 39713 5749 4 usually usually RB 39713 5749 5 foreign foreign JJ 39713 5749 6 to to IN 39713 5749 7 one one CD 39713 5749 8 another another DT 39713 5749 9 come come VB 39713 5749 10 thus thus RB 39713 5749 11 to to TO 39713 5749 12 react react VB 39713 5749 13 upon upon IN 39713 5749 14 each each DT 39713 5749 15 other other JJ 39713 5749 16 , , , 39713 5749 17 the the DT 39713 5749 18 laws law NNS 39713 5749 19 of of IN 39713 5749 20 this this DT 39713 5749 21 reaction reaction NN 39713 5749 22 must must MD 39713 5749 23 be be VB 39713 5749 24 very very RB 39713 5749 25 complex complex JJ 39713 5749 26 . . . 39713 5750 1 On on IN 39713 5750 2 the the DT 39713 5750 3 other other JJ 39713 5750 4 hand hand NN 39713 5750 5 , , , 39713 5750 6 a a DT 39713 5750 7 very very RB 39713 5750 8 slight slight JJ 39713 5750 9 change change NN 39713 5750 10 in in IN 39713 5750 11 the the DT 39713 5750 12 initial initial JJ 39713 5750 13 conditions condition NNS 39713 5750 14 of of IN 39713 5750 15 these these DT 39713 5750 16 two two CD 39713 5750 17 worlds world NNS 39713 5750 18 would would MD 39713 5750 19 have have VB 39713 5750 20 been be VBN 39713 5750 21 sufficient sufficient JJ 39713 5750 22 for for IN 39713 5750 23 the the DT 39713 5750 24 reaction reaction NN 39713 5750 25 not not RB 39713 5750 26 to to TO 39713 5750 27 have have VB 39713 5750 28 happened happen VBN 39713 5750 29 . . . 39713 5751 1 How how WRB 39713 5751 2 little little JJ 39713 5751 3 was be VBD 39713 5751 4 needed need VBN 39713 5751 5 for for IN 39713 5751 6 the the DT 39713 5751 7 man man NN 39713 5751 8 to to TO 39713 5751 9 pass pass VB 39713 5751 10 a a DT 39713 5751 11 second second JJ 39713 5751 12 later later RB 39713 5751 13 or or CC 39713 5751 14 the the DT 39713 5751 15 tiler tiler NN 39713 5751 16 to to TO 39713 5751 17 drop drop VB 39713 5751 18 his -PRON- PRP$ 39713 5751 19 tile tile NN 39713 5751 20 a a DT 39713 5751 21 second second NN 39713 5751 22 sooner soon RBR 39713 5751 23 . . . 39713 5752 1 VI VI NNP 39713 5752 2 All all DT 39713 5752 3 we -PRON- PRP 39713 5752 4 have have VBP 39713 5752 5 said say VBN 39713 5752 6 still still RB 39713 5752 7 does do VBZ 39713 5752 8 not not RB 39713 5752 9 explain explain VB 39713 5752 10 why why WRB 39713 5752 11 chance chance NN 39713 5752 12 obeys obey NNS 39713 5752 13 laws law NNS 39713 5752 14 . . . 39713 5753 1 Does do VBZ 39713 5753 2 the the DT 39713 5753 3 fact fact NN 39713 5753 4 that that IN 39713 5753 5 the the DT 39713 5753 6 causes cause NNS 39713 5753 7 are be VBP 39713 5753 8 slight slight JJ 39713 5753 9 or or CC 39713 5753 10 complex complex JJ 39713 5753 11 suffice suffice NN 39713 5753 12 for for IN 39713 5753 13 our -PRON- PRP$ 39713 5753 14 foreseeing foreseeing NN 39713 5753 15 , , , 39713 5753 16 if if IN 39713 5753 17 not not RB 39713 5753 18 their -PRON- PRP$ 39713 5753 19 effects effect NNS 39713 5753 20 _ _ XX 39713 5753 21 in in IN 39713 5753 22 each each DT 39713 5753 23 case case NN 39713 5753 24 _ _ NNP 39713 5753 25 , , , 39713 5753 26 at at IN 39713 5753 27 least least JJS 39713 5753 28 what what WP 39713 5753 29 their -PRON- PRP$ 39713 5753 30 effects effect NNS 39713 5753 31 will will MD 39713 5753 32 be be VB 39713 5753 33 , , , 39713 5753 34 _ _ NNP 39713 5753 35 on on IN 39713 5753 36 the the DT 39713 5753 37 average average JJ 39713 5753 38 _ _ NN 39713 5753 39 ? ? . 39713 5754 1 To to TO 39713 5754 2 answer answer VB 39713 5754 3 this this DT 39713 5754 4 question question NN 39713 5754 5 we -PRON- PRP 39713 5754 6 had have VBD 39713 5754 7 better well JJR 39713 5754 8 take take VB 39713 5754 9 up up RP 39713 5754 10 again again RB 39713 5754 11 some some DT 39713 5754 12 of of IN 39713 5754 13 the the DT 39713 5754 14 examples example NNS 39713 5754 15 already already RB 39713 5754 16 cited cite VBN 39713 5754 17 . . . 39713 5755 1 I -PRON- PRP 39713 5755 2 shall shall MD 39713 5755 3 begin begin VB 39713 5755 4 with with IN 39713 5755 5 that that DT 39713 5755 6 of of IN 39713 5755 7 the the DT 39713 5755 8 roulette roulette NN 39713 5755 9 . . . 39713 5756 1 I -PRON- PRP 39713 5756 2 have have VBP 39713 5756 3 said say VBN 39713 5756 4 that that IN 39713 5756 5 the the DT 39713 5756 6 point point NN 39713 5756 7 where where WRB 39713 5756 8 the the DT 39713 5756 9 needle needle NN 39713 5756 10 will will MD 39713 5756 11 stop stop VB 39713 5756 12 depends depend VBZ 39713 5756 13 upon upon IN 39713 5756 14 the the DT 39713 5756 15 initial initial JJ 39713 5756 16 push push NN 39713 5756 17 given give VBN 39713 5756 18 it -PRON- PRP 39713 5756 19 . . . 39713 5757 1 What what WP 39713 5757 2 is be VBZ 39713 5757 3 the the DT 39713 5757 4 probability probability NN 39713 5757 5 of of IN 39713 5757 6 this this DT 39713 5757 7 push push NN 39713 5757 8 having have VBG 39713 5757 9 this this DT 39713 5757 10 or or CC 39713 5757 11 that that DT 39713 5757 12 value value NN 39713 5757 13 ? ? . 39713 5758 1 I -PRON- PRP 39713 5758 2 know know VBP 39713 5758 3 nothing nothing NN 39713 5758 4 about about IN 39713 5758 5 it -PRON- PRP 39713 5758 6 , , , 39713 5758 7 but but CC 39713 5758 8 it -PRON- PRP 39713 5758 9 is be VBZ 39713 5758 10 difficult difficult JJ 39713 5758 11 for for IN 39713 5758 12 me -PRON- PRP 39713 5758 13 not not RB 39713 5758 14 to to TO 39713 5758 15 suppose suppose VB 39713 5758 16 that that IN 39713 5758 17 this this DT 39713 5758 18 probability probability NN 39713 5758 19 is be VBZ 39713 5758 20 represented represent VBN 39713 5758 21 by by IN 39713 5758 22 a a DT 39713 5758 23 continuous continuous JJ 39713 5758 24 analytic analytic JJ 39713 5758 25 function function NN 39713 5758 26 . . . 39713 5759 1 The the DT 39713 5759 2 probability probability NN 39713 5759 3 that that WDT 39713 5759 4 the the DT 39713 5759 5 push push NN 39713 5759 6 is be VBZ 39713 5759 7 comprised comprise VBN 39713 5759 8 between between IN 39713 5759 9 [ [ -LRB- 39713 5759 10 alpha alpha NN 39713 5759 11 ] ] -RRB- 39713 5759 12 and and CC 39713 5759 13 [ [ -LRB- 39713 5759 14 alpha alpha NN 39713 5759 15 ] ] -RRB- 39713 5759 16 + + CC 39713 5759 17 [ [ -LRB- 39713 5759 18 epsilon epsilon NN 39713 5759 19 ] ] -RRB- 39713 5759 20 will will MD 39713 5759 21 then then RB 39713 5759 22 be be VB 39713 5759 23 sensibly sensibly RB 39713 5759 24 equal equal JJ 39713 5759 25 to to IN 39713 5759 26 the the DT 39713 5759 27 probability probability NN 39713 5759 28 of of IN 39713 5759 29 its -PRON- PRP$ 39713 5759 30 being be VBG 39713 5759 31 comprised comprise VBN 39713 5759 32 between between IN 39713 5759 33 [ [ -LRB- 39713 5759 34 alpha alpha NN 39713 5759 35 ] ] -RRB- 39713 5759 36 + + CC 39713 5759 37 [ [ -LRB- 39713 5759 38 epsilon epsilon NN 39713 5759 39 ] ] -RRB- 39713 5759 40 and and CC 39713 5759 41 [ [ -LRB- 39713 5759 42 alpha alpha NN 39713 5759 43 ] ] -RRB- 39713 5759 44 + + CC 39713 5759 45 2[epsilon 2[epsilon CD 39713 5759 46 ] ] -RRB- 39713 5759 47 , , , 39713 5759 48 _ _ NNP 39713 5759 49 provided provide VBD 39713 5759 50 _ _ NNP 39713 5759 51 [ [ -LRB- 39713 5759 52 epsilon epsilon NN 39713 5759 53 ] ] -RRB- 39713 5759 54 _ _ NNP 39713 5759 55 be be VB 39713 5759 56 very very RB 39713 5759 57 small small JJ 39713 5759 58 _ _ NNP 39713 5759 59 . . . 39713 5760 1 This this DT 39713 5760 2 is be VBZ 39713 5760 3 a a DT 39713 5760 4 property property NN 39713 5760 5 common common JJ 39713 5760 6 to to IN 39713 5760 7 all all DT 39713 5760 8 analytic analytic JJ 39713 5760 9 functions function NNS 39713 5760 10 . . . 39713 5761 1 Minute minute NN 39713 5761 2 variations variation NNS 39713 5761 3 of of IN 39713 5761 4 the the DT 39713 5761 5 function function NN 39713 5761 6 are be VBP 39713 5761 7 proportional proportional JJ 39713 5761 8 to to TO 39713 5761 9 minute minute VB 39713 5761 10 variations variation NNS 39713 5761 11 of of IN 39713 5761 12 the the DT 39713 5761 13 variable variable NN 39713 5761 14 . . . 39713 5762 1 But but CC 39713 5762 2 we -PRON- PRP 39713 5762 3 have have VBP 39713 5762 4 assumed assume VBN 39713 5762 5 that that IN 39713 5762 6 an an DT 39713 5762 7 exceedingly exceedingly RB 39713 5762 8 slight slight JJ 39713 5762 9 variation variation NN 39713 5762 10 of of IN 39713 5762 11 the the DT 39713 5762 12 push push NN 39713 5762 13 suffices suffice VBZ 39713 5762 14 to to TO 39713 5762 15 change change VB 39713 5762 16 the the DT 39713 5762 17 color color NN 39713 5762 18 of of IN 39713 5762 19 the the DT 39713 5762 20 sector sector NN 39713 5762 21 over over IN 39713 5762 22 which which WDT 39713 5762 23 the the DT 39713 5762 24 needle needle NN 39713 5762 25 finally finally RB 39713 5762 26 stops stop VBZ 39713 5762 27 . . . 39713 5763 1 From from IN 39713 5763 2 [ [ -LRB- 39713 5763 3 alpha alpha NN 39713 5763 4 ] ] -RRB- 39713 5763 5 to to IN 39713 5763 6 [ [ -LRB- 39713 5763 7 alpha]+[epsilon alpha]+[epsilon NN 39713 5763 8 ] ] -RRB- 39713 5763 9 it -PRON- PRP 39713 5763 10 is be VBZ 39713 5763 11 red red JJ 39713 5763 12 , , , 39713 5763 13 from from IN 39713 5763 14 [ [ -LRB- 39713 5763 15 alpha]+[epsilon alpha]+[epsilon NN 39713 5763 16 ] ] -RRB- 39713 5763 17 to to IN 39713 5763 18 [ [ -LRB- 39713 5763 19 alpha]+2[epsilon alpha]+2[epsilon NN 39713 5763 20 ] ] -RRB- 39713 5763 21 it -PRON- PRP 39713 5763 22 is be VBZ 39713 5763 23 black black JJ 39713 5763 24 ; ; : 39713 5763 25 the the DT 39713 5763 26 probability probability NN 39713 5763 27 of of IN 39713 5763 28 each each DT 39713 5763 29 red red JJ 39713 5763 30 sector sector NN 39713 5763 31 is be VBZ 39713 5763 32 therefore therefore RB 39713 5763 33 the the DT 39713 5763 34 same same JJ 39713 5763 35 as as IN 39713 5763 36 of of IN 39713 5763 37 the the DT 39713 5763 38 following follow VBG 39713 5763 39 black black JJ 39713 5763 40 , , , 39713 5763 41 and and CC 39713 5763 42 consequently consequently RB 39713 5763 43 the the DT 39713 5763 44 total total JJ 39713 5763 45 probability probability NN 39713 5763 46 of of IN 39713 5763 47 red red JJ 39713 5763 48 equals equal VBZ 39713 5763 49 the the DT 39713 5763 50 total total JJ 39713 5763 51 probability probability NN 39713 5763 52 of of IN 39713 5763 53 black black NN 39713 5763 54 . . . 39713 5764 1 The the DT 39713 5764 2 datum datum NN 39713 5764 3 of of IN 39713 5764 4 the the DT 39713 5764 5 question question NN 39713 5764 6 is be VBZ 39713 5764 7 the the DT 39713 5764 8 analytic analytic JJ 39713 5764 9 function function NN 39713 5764 10 representing represent VBG 39713 5764 11 the the DT 39713 5764 12 probability probability NN 39713 5764 13 of of IN 39713 5764 14 a a DT 39713 5764 15 particular particular JJ 39713 5764 16 initial initial JJ 39713 5764 17 push push NN 39713 5764 18 . . . 39713 5765 1 But but CC 39713 5765 2 the the DT 39713 5765 3 theorem theorem NN 39713 5765 4 remains remain VBZ 39713 5765 5 true true JJ 39713 5765 6 whatever whatever WDT 39713 5765 7 be be VB 39713 5765 8 this this DT 39713 5765 9 datum datum NN 39713 5765 10 , , , 39713 5765 11 since since IN 39713 5765 12 it -PRON- PRP 39713 5765 13 depends depend VBZ 39713 5765 14 upon upon IN 39713 5765 15 a a DT 39713 5765 16 property property NN 39713 5765 17 common common JJ 39713 5765 18 to to IN 39713 5765 19 all all DT 39713 5765 20 analytic analytic JJ 39713 5765 21 functions function NNS 39713 5765 22 . . . 39713 5766 1 From from IN 39713 5766 2 this this DT 39713 5766 3 it -PRON- PRP 39713 5766 4 follows follow VBZ 39713 5766 5 finally finally RB 39713 5766 6 that that IN 39713 5766 7 we -PRON- PRP 39713 5766 8 no no RB 39713 5766 9 longer longer RB 39713 5766 10 need need VBP 39713 5766 11 the the DT 39713 5766 12 datum datum NN 39713 5766 13 . . . 39713 5767 1 What what WP 39713 5767 2 we -PRON- PRP 39713 5767 3 have have VBP 39713 5767 4 just just RB 39713 5767 5 said say VBN 39713 5767 6 for for IN 39713 5767 7 the the DT 39713 5767 8 case case NN 39713 5767 9 of of IN 39713 5767 10 the the DT 39713 5767 11 roulette roulette NN 39713 5767 12 applies apply VBZ 39713 5767 13 also also RB 39713 5767 14 to to IN 39713 5767 15 the the DT 39713 5767 16 example example NN 39713 5767 17 of of IN 39713 5767 18 the the DT 39713 5767 19 minor minor JJ 39713 5767 20 planets planet NNS 39713 5767 21 . . . 39713 5768 1 The the DT 39713 5768 2 zodiac zodiac NN 39713 5768 3 may may MD 39713 5768 4 be be VB 39713 5768 5 regarded regard VBN 39713 5768 6 as as IN 39713 5768 7 an an DT 39713 5768 8 immense immense JJ 39713 5768 9 roulette roulette NN 39713 5768 10 on on IN 39713 5768 11 which which WDT 39713 5768 12 have have VBP 39713 5768 13 been be VBN 39713 5768 14 tossed toss VBN 39713 5768 15 many many JJ 39713 5768 16 little little JJ 39713 5768 17 balls ball NNS 39713 5768 18 with with IN 39713 5768 19 different different JJ 39713 5768 20 initial initial JJ 39713 5768 21 impulses impulse NNS 39713 5768 22 varying vary VBG 39713 5768 23 according accord VBG 39713 5768 24 to to IN 39713 5768 25 some some DT 39713 5768 26 law law NN 39713 5768 27 . . . 39713 5769 1 Their -PRON- PRP$ 39713 5769 2 present present JJ 39713 5769 3 distribution distribution NN 39713 5769 4 is be VBZ 39713 5769 5 uniform uniform JJ 39713 5769 6 and and CC 39713 5769 7 independent independent JJ 39713 5769 8 of of IN 39713 5769 9 this this DT 39713 5769 10 law law NN 39713 5769 11 , , , 39713 5769 12 for for IN 39713 5769 13 the the DT 39713 5769 14 same same JJ 39713 5769 15 reason reason NN 39713 5769 16 as as IN 39713 5769 17 in in IN 39713 5769 18 the the DT 39713 5769 19 preceding precede VBG 39713 5769 20 case case NN 39713 5769 21 . . . 39713 5770 1 Thus thus RB 39713 5770 2 we -PRON- PRP 39713 5770 3 see see VBP 39713 5770 4 why why WRB 39713 5770 5 phenomena phenomenon NNS 39713 5770 6 obey obey VBP 39713 5770 7 the the DT 39713 5770 8 laws law NNS 39713 5770 9 of of IN 39713 5770 10 chance chance NN 39713 5770 11 when when WRB 39713 5770 12 slight slight JJ 39713 5770 13 differences difference NNS 39713 5770 14 in in IN 39713 5770 15 the the DT 39713 5770 16 causes cause NNS 39713 5770 17 suffice suffice NN 39713 5770 18 to to TO 39713 5770 19 bring bring VB 39713 5770 20 on on RP 39713 5770 21 great great JJ 39713 5770 22 differences difference NNS 39713 5770 23 in in IN 39713 5770 24 the the DT 39713 5770 25 effects effect NNS 39713 5770 26 . . . 39713 5771 1 The the DT 39713 5771 2 probabilities probability NNS 39713 5771 3 of of IN 39713 5771 4 these these DT 39713 5771 5 slight slight JJ 39713 5771 6 differences difference NNS 39713 5771 7 may may MD 39713 5771 8 then then RB 39713 5771 9 be be VB 39713 5771 10 regarded regard VBN 39713 5771 11 as as IN 39713 5771 12 proportional proportional JJ 39713 5771 13 to to IN 39713 5771 14 these these DT 39713 5771 15 differences difference NNS 39713 5771 16 themselves -PRON- PRP 39713 5771 17 , , , 39713 5771 18 just just RB 39713 5771 19 because because IN 39713 5771 20 these these DT 39713 5771 21 differences difference NNS 39713 5771 22 are be VBP 39713 5771 23 minute minute JJ 39713 5771 24 , , , 39713 5771 25 and and CC 39713 5771 26 the the DT 39713 5771 27 infinitesimal infinitesimal JJ 39713 5771 28 increments increment NNS 39713 5771 29 of of IN 39713 5771 30 a a DT 39713 5771 31 continuous continuous JJ 39713 5771 32 function function NN 39713 5771 33 are be VBP 39713 5771 34 proportional proportional JJ 39713 5771 35 to to IN 39713 5771 36 those those DT 39713 5771 37 of of IN 39713 5771 38 the the DT 39713 5771 39 variable variable NN 39713 5771 40 . . . 39713 5772 1 Take take VB 39713 5772 2 an an DT 39713 5772 3 entirely entirely RB 39713 5772 4 different different JJ 39713 5772 5 example example NN 39713 5772 6 , , , 39713 5772 7 where where WRB 39713 5772 8 intervenes intervene NNS 39713 5772 9 especially especially RB 39713 5772 10 the the DT 39713 5772 11 complexity complexity NN 39713 5772 12 of of IN 39713 5772 13 the the DT 39713 5772 14 causes cause NNS 39713 5772 15 . . . 39713 5773 1 Suppose suppose VB 39713 5773 2 a a DT 39713 5773 3 player player NN 39713 5773 4 shuffles shuffle VBZ 39713 5773 5 a a DT 39713 5773 6 pack pack NN 39713 5773 7 of of IN 39713 5773 8 cards card NNS 39713 5773 9 . . . 39713 5774 1 At at IN 39713 5774 2 each each DT 39713 5774 3 shuffle shuffle NN 39713 5774 4 he -PRON- PRP 39713 5774 5 changes change VBZ 39713 5774 6 the the DT 39713 5774 7 order order NN 39713 5774 8 of of IN 39713 5774 9 the the DT 39713 5774 10 cards card NNS 39713 5774 11 , , , 39713 5774 12 and and CC 39713 5774 13 he -PRON- PRP 39713 5774 14 may may MD 39713 5774 15 change change VB 39713 5774 16 them -PRON- PRP 39713 5774 17 in in IN 39713 5774 18 many many JJ 39713 5774 19 ways way NNS 39713 5774 20 . . . 39713 5775 1 To to TO 39713 5775 2 simplify simplify VB 39713 5775 3 the the DT 39713 5775 4 exposition exposition NN 39713 5775 5 , , , 39713 5775 6 consider consider VB 39713 5775 7 only only RB 39713 5775 8 three three CD 39713 5775 9 cards card NNS 39713 5775 10 . . . 39713 5776 1 The the DT 39713 5776 2 cards card NNS 39713 5776 3 which which WDT 39713 5776 4 before before IN 39713 5776 5 the the DT 39713 5776 6 shuffle shuffle NN 39713 5776 7 occupied occupy VBD 39713 5776 8 respectively respectively RB 39713 5776 9 the the DT 39713 5776 10 places place NNS 39713 5776 11 123 123 CD 39713 5776 12 , , , 39713 5776 13 may may MD 39713 5776 14 after after IN 39713 5776 15 the the DT 39713 5776 16 shuffle shuffle NN 39713 5776 17 occupy occupy VBP 39713 5776 18 the the DT 39713 5776 19 places place NNS 39713 5776 20 123 123 CD 39713 5776 21 , , , 39713 5776 22 231 231 CD 39713 5776 23 , , , 39713 5776 24 312 312 CD 39713 5776 25 , , , 39713 5776 26 321 321 CD 39713 5776 27 , , , 39713 5776 28 132 132 CD 39713 5776 29 , , , 39713 5776 30 213 213 CD 39713 5776 31 . . . 39713 5777 1 Each each DT 39713 5777 2 of of IN 39713 5777 3 these these DT 39713 5777 4 six six CD 39713 5777 5 hypotheses hypothesis NNS 39713 5777 6 is be VBZ 39713 5777 7 possible possible JJ 39713 5777 8 and and CC 39713 5777 9 they -PRON- PRP 39713 5777 10 have have VBP 39713 5777 11 respectively respectively RB 39713 5777 12 for for IN 39713 5777 13 probabilities probability NNS 39713 5777 14 : : : 39713 5777 15 p_1 p_1 NNP 39713 5777 16 , , , 39713 5777 17 p_2 p_2 NNP 39713 5777 18 , , , 39713 5777 19 p_3 p_3 NNP 39713 5777 20 , , , 39713 5777 21 p_4 p_4 NNP 39713 5777 22 , , , 39713 5777 23 p_5 p_5 NNP 39713 5777 24 , , , 39713 5777 25 p_6 p_6 NNP 39713 5777 26 . . . 39713 5778 1 The the DT 39713 5778 2 sum sum NN 39713 5778 3 of of IN 39713 5778 4 these these DT 39713 5778 5 six six CD 39713 5778 6 numbers number NNS 39713 5778 7 equals equal VBZ 39713 5778 8 1 1 CD 39713 5778 9 ; ; : 39713 5778 10 but but CC 39713 5778 11 this this DT 39713 5778 12 is be VBZ 39713 5778 13 all all DT 39713 5778 14 we -PRON- PRP 39713 5778 15 know know VBP 39713 5778 16 of of IN 39713 5778 17 them -PRON- PRP 39713 5778 18 ; ; : 39713 5778 19 these these DT 39713 5778 20 six six CD 39713 5778 21 probabilities probability NNS 39713 5778 22 depend depend VBP 39713 5778 23 naturally naturally RB 39713 5778 24 upon upon IN 39713 5778 25 the the DT 39713 5778 26 habits habit NNS 39713 5778 27 of of IN 39713 5778 28 the the DT 39713 5778 29 player player NN 39713 5778 30 which which WDT 39713 5778 31 we -PRON- PRP 39713 5778 32 do do VBP 39713 5778 33 not not RB 39713 5778 34 know know VB 39713 5778 35 . . . 39713 5779 1 At at IN 39713 5779 2 the the DT 39713 5779 3 second second JJ 39713 5779 4 shuffle shuffle NN 39713 5779 5 and and CC 39713 5779 6 the the DT 39713 5779 7 following following NN 39713 5779 8 , , , 39713 5779 9 this this DT 39713 5779 10 will will MD 39713 5779 11 recommence recommence VB 39713 5779 12 , , , 39713 5779 13 and and CC 39713 5779 14 under under IN 39713 5779 15 the the DT 39713 5779 16 same same JJ 39713 5779 17 conditions condition NNS 39713 5779 18 ; ; : 39713 5779 19 I -PRON- PRP 39713 5779 20 mean mean VBP 39713 5779 21 that that IN 39713 5779 22 p_4 p_4 NNP 39713 5779 23 for for IN 39713 5779 24 example example NN 39713 5779 25 represents represent VBZ 39713 5779 26 always always RB 39713 5779 27 the the DT 39713 5779 28 probability probability NN 39713 5779 29 that that IN 39713 5779 30 the the DT 39713 5779 31 three three CD 39713 5779 32 cards card NNS 39713 5779 33 which which WDT 39713 5779 34 occupied occupy VBD 39713 5779 35 after after IN 39713 5779 36 the the DT 39713 5779 37 _ _ NNP 39713 5779 38 n_th n_th NNP 39713 5779 39 shuffle shuffle NN 39713 5779 40 and and CC 39713 5779 41 before before IN 39713 5779 42 the the DT 39713 5779 43 _ _ NNP 39713 5779 44 n n NNP 39713 5779 45 _ _ NNP 39713 5779 46 + + SYM 39713 5779 47 1th 1th JJ 39713 5779 48 the the DT 39713 5779 49 places place NNS 39713 5779 50 123 123 CD 39713 5779 51 , , , 39713 5779 52 occupy occupy VB 39713 5779 53 the the DT 39713 5779 54 places place NNS 39713 5779 55 321 321 CD 39713 5779 56 after after IN 39713 5779 57 the the DT 39713 5779 58 _ _ NNP 39713 5779 59 n n NNP 39713 5779 60 _ _ NNP 39713 5779 61 + + CC 39713 5779 62 1th 1th JJ 39713 5779 63 shuffle shuffle NN 39713 5779 64 . . . 39713 5780 1 And and CC 39713 5780 2 this this DT 39713 5780 3 remains remain VBZ 39713 5780 4 true true JJ 39713 5780 5 whatever whatever WDT 39713 5780 6 be be VBP 39713 5780 7 the the DT 39713 5780 8 number number NN 39713 5780 9 _ _ NNP 39713 5780 10 n n NNP 39713 5780 11 _ _ NNP 39713 5780 12 , , , 39713 5780 13 since since IN 39713 5780 14 the the DT 39713 5780 15 habits habit NNS 39713 5780 16 of of IN 39713 5780 17 the the DT 39713 5780 18 player player NN 39713 5780 19 and and CC 39713 5780 20 his -PRON- PRP$ 39713 5780 21 way way NN 39713 5780 22 of of IN 39713 5780 23 shuffling shuffling NN 39713 5780 24 remain remain VBP 39713 5780 25 the the DT 39713 5780 26 same same JJ 39713 5780 27 . . . 39713 5781 1 But but CC 39713 5781 2 if if IN 39713 5781 3 the the DT 39713 5781 4 number number NN 39713 5781 5 of of IN 39713 5781 6 shuffles shuffle NNS 39713 5781 7 is be VBZ 39713 5781 8 very very RB 39713 5781 9 great great JJ 39713 5781 10 , , , 39713 5781 11 the the DT 39713 5781 12 cards card NNS 39713 5781 13 which which WDT 39713 5781 14 before before IN 39713 5781 15 the the DT 39713 5781 16 first first JJ 39713 5781 17 shuffle shuffle NN 39713 5781 18 occupied occupy VBD 39713 5781 19 the the DT 39713 5781 20 places place NNS 39713 5781 21 123 123 CD 39713 5781 22 may may MD 39713 5781 23 , , , 39713 5781 24 after after IN 39713 5781 25 the the DT 39713 5781 26 last last JJ 39713 5781 27 shuffle shuffle NN 39713 5781 28 , , , 39713 5781 29 occupy occupy VB 39713 5781 30 the the DT 39713 5781 31 places place NNS 39713 5781 32 123 123 CD 39713 5781 33 , , , 39713 5781 34 231 231 CD 39713 5781 35 , , , 39713 5781 36 312 312 CD 39713 5781 37 , , , 39713 5781 38 321 321 CD 39713 5781 39 , , , 39713 5781 40 132 132 CD 39713 5781 41 , , , 39713 5781 42 213 213 CD 39713 5781 43 and and CC 39713 5781 44 the the DT 39713 5781 45 probability probability NN 39713 5781 46 of of IN 39713 5781 47 these these DT 39713 5781 48 six six CD 39713 5781 49 hypotheses hypothesis NNS 39713 5781 50 will will MD 39713 5781 51 be be VB 39713 5781 52 sensibly sensibly RB 39713 5781 53 the the DT 39713 5781 54 same same JJ 39713 5781 55 and and CC 39713 5781 56 equal equal JJ 39713 5781 57 to to IN 39713 5781 58 1/6 1/6 CD 39713 5781 59 ; ; : 39713 5781 60 and and CC 39713 5781 61 this this DT 39713 5781 62 will will MD 39713 5781 63 be be VB 39713 5781 64 true true JJ 39713 5781 65 whatever whatever WDT 39713 5781 66 be be VB 39713 5781 67 the the DT 39713 5781 68 numbers number NNS 39713 5781 69 p_1 p_1 NNP 39713 5781 70 ... ... : 39713 5781 71 p_6 p_6 NN 39713 5781 72 which which WDT 39713 5781 73 we -PRON- PRP 39713 5781 74 do do VBP 39713 5781 75 not not RB 39713 5781 76 know know VB 39713 5781 77 . . . 39713 5782 1 The the DT 39713 5782 2 great great JJ 39713 5782 3 number number NN 39713 5782 4 of of IN 39713 5782 5 shuffles shuffle NNS 39713 5782 6 , , , 39713 5782 7 that that DT 39713 5782 8 is be VBZ 39713 5782 9 to to TO 39713 5782 10 say say VB 39713 5782 11 the the DT 39713 5782 12 complexity complexity NN 39713 5782 13 of of IN 39713 5782 14 the the DT 39713 5782 15 causes cause NNS 39713 5782 16 , , , 39713 5782 17 has have VBZ 39713 5782 18 produced produce VBN 39713 5782 19 uniformity uniformity NN 39713 5782 20 . . . 39713 5783 1 This this DT 39713 5783 2 would would MD 39713 5783 3 apply apply VB 39713 5783 4 without without IN 39713 5783 5 change change NN 39713 5783 6 if if IN 39713 5783 7 there there EX 39713 5783 8 were be VBD 39713 5783 9 more more JJR 39713 5783 10 than than IN 39713 5783 11 three three CD 39713 5783 12 cards card NNS 39713 5783 13 , , , 39713 5783 14 but but CC 39713 5783 15 even even RB 39713 5783 16 with with IN 39713 5783 17 three three CD 39713 5783 18 cards card NNS 39713 5783 19 the the DT 39713 5783 20 demonstration demonstration NN 39713 5783 21 would would MD 39713 5783 22 be be VB 39713 5783 23 complicated complicate VBN 39713 5783 24 ; ; : 39713 5783 25 let let VB 39713 5783 26 it -PRON- PRP 39713 5783 27 suffice suffice VB 39713 5783 28 to to TO 39713 5783 29 give give VB 39713 5783 30 it -PRON- PRP 39713 5783 31 for for IN 39713 5783 32 only only RB 39713 5783 33 two two CD 39713 5783 34 cards card NNS 39713 5783 35 . . . 39713 5784 1 Then then RB 39713 5784 2 we -PRON- PRP 39713 5784 3 have have VBP 39713 5784 4 only only RB 39713 5784 5 two two CD 39713 5784 6 possibilities possibility NNS 39713 5784 7 12 12 CD 39713 5784 8 , , , 39713 5784 9 21 21 CD 39713 5784 10 with with IN 39713 5784 11 the the DT 39713 5784 12 probabilities probability NNS 39713 5784 13 p_1 p_1 NNP 39713 5784 14 and and CC 39713 5784 15 p_2 p_2 NN 39713 5784 16 = = SYM 39713 5784 17 1 1 CD 39713 5784 18 - - SYM 39713 5784 19 p_1 p_1 NN 39713 5784 20 . . . 39713 5785 1 Suppose suppose VB 39713 5785 2 _ _ NNP 39713 5785 3 n n CC 39713 5785 4 _ _ NNP 39713 5785 5 shuffles shuffle NNS 39713 5785 6 and and CC 39713 5785 7 suppose suppose VB 39713 5785 8 I -PRON- PRP 39713 5785 9 win win VBP 39713 5785 10 one one CD 39713 5785 11 franc franc NN 39713 5785 12 if if IN 39713 5785 13 the the DT 39713 5785 14 cards card NNS 39713 5785 15 are be VBP 39713 5785 16 finally finally RB 39713 5785 17 in in IN 39713 5785 18 the the DT 39713 5785 19 initial initial JJ 39713 5785 20 order order NN 39713 5785 21 and and CC 39713 5785 22 lose lose VB 39713 5785 23 one one CD 39713 5785 24 if if IN 39713 5785 25 they -PRON- PRP 39713 5785 26 are be VBP 39713 5785 27 finally finally RB 39713 5785 28 inverted invert VBN 39713 5785 29 . . . 39713 5786 1 Then then RB 39713 5786 2 , , , 39713 5786 3 my -PRON- PRP$ 39713 5786 4 mathematical mathematical JJ 39713 5786 5 expectation expectation NN 39713 5786 6 will will MD 39713 5786 7 be be VB 39713 5786 8 ( ( -LRB- 39713 5786 9 p_1 p_1 NNP 39713 5786 10 - - HYPH 39713 5786 11 p_2)^{_n p_2)^{_n NNP 39713 5786 12 _ _ NNP 39713 5786 13 } } -RRB- 39713 5786 14 . . . 39713 5787 1 The the DT 39713 5787 2 difference difference NN 39713 5787 3 p_1 p_1 NNP 39713 5787 4 - - HYPH 39713 5787 5 p_2 p_2 NNP 39713 5787 6 is be VBZ 39713 5787 7 certainly certainly RB 39713 5787 8 less less JJR 39713 5787 9 than than IN 39713 5787 10 1 1 CD 39713 5787 11 ; ; : 39713 5787 12 so so IN 39713 5787 13 that that IN 39713 5787 14 if if IN 39713 5787 15 _ _ NNP 39713 5787 16 n n CC 39713 5787 17 _ _ NNP 39713 5787 18 is be VBZ 39713 5787 19 very very RB 39713 5787 20 great great JJ 39713 5787 21 my -PRON- PRP$ 39713 5787 22 expectation expectation NN 39713 5787 23 will will MD 39713 5787 24 be be VB 39713 5787 25 zero zero CD 39713 5787 26 ; ; : 39713 5787 27 we -PRON- PRP 39713 5787 28 need need VBP 39713 5787 29 not not RB 39713 5787 30 learn learn VB 39713 5787 31 p_1 p_1 NNP 39713 5787 32 and and CC 39713 5787 33 p_2 p_2 PRP 39713 5787 34 to to TO 39713 5787 35 be be VB 39713 5787 36 aware aware JJ 39713 5787 37 that that IN 39713 5787 38 the the DT 39713 5787 39 game game NN 39713 5787 40 is be VBZ 39713 5787 41 equitable equitable JJ 39713 5787 42 . . . 39713 5788 1 There there EX 39713 5788 2 would would MD 39713 5788 3 always always RB 39713 5788 4 be be VB 39713 5788 5 an an DT 39713 5788 6 exception exception NN 39713 5788 7 if if IN 39713 5788 8 one one CD 39713 5788 9 of of IN 39713 5788 10 the the DT 39713 5788 11 numbers number NNS 39713 5788 12 p_1 p_1 NNP 39713 5788 13 and and CC 39713 5788 14 p_2 p_2 NNP 39713 5788 15 was be VBD 39713 5788 16 equal equal JJ 39713 5788 17 to to IN 39713 5788 18 1 1 CD 39713 5788 19 and and CC 39713 5788 20 the the DT 39713 5788 21 other other JJ 39713 5788 22 naught naught NN 39713 5788 23 . . . 39713 5789 1 _ _ NNP 39713 5789 2 Then then RB 39713 5789 3 it -PRON- PRP 39713 5789 4 would would MD 39713 5789 5 not not RB 39713 5789 6 apply apply VB 39713 5789 7 because because IN 39713 5789 8 our -PRON- PRP$ 39713 5789 9 initial initial JJ 39713 5789 10 hypotheses hypothesis NNS 39713 5789 11 would would MD 39713 5789 12 be be VB 39713 5789 13 too too RB 39713 5789 14 simple simple JJ 39713 5789 15 . . . 39713 5789 16 _ _ VB 39713 5789 17 What what WP 39713 5789 18 we -PRON- PRP 39713 5789 19 have have VBP 39713 5789 20 just just RB 39713 5789 21 seen see VBN 39713 5789 22 applies apply VBZ 39713 5789 23 not not RB 39713 5789 24 only only RB 39713 5789 25 to to IN 39713 5789 26 the the DT 39713 5789 27 mixing mixing NN 39713 5789 28 of of IN 39713 5789 29 cards card NNS 39713 5789 30 , , , 39713 5789 31 but but CC 39713 5789 32 to to IN 39713 5789 33 all all DT 39713 5789 34 mixings mixing NNS 39713 5789 35 , , , 39713 5789 36 to to IN 39713 5789 37 those those DT 39713 5789 38 of of IN 39713 5789 39 powders powder NNS 39713 5789 40 and and CC 39713 5789 41 of of IN 39713 5789 42 liquids liquid NNS 39713 5789 43 ; ; : 39713 5789 44 and and CC 39713 5789 45 even even RB 39713 5789 46 to to IN 39713 5789 47 those those DT 39713 5789 48 of of IN 39713 5789 49 the the DT 39713 5789 50 molecules molecule NNS 39713 5789 51 of of IN 39713 5789 52 gases gas NNS 39713 5789 53 in in IN 39713 5789 54 the the DT 39713 5789 55 kinetic kinetic JJ 39713 5789 56 theory theory NN 39713 5789 57 of of IN 39713 5789 58 gases gas NNS 39713 5789 59 . . . 39713 5790 1 To to TO 39713 5790 2 return return VB 39713 5790 3 to to IN 39713 5790 4 this this DT 39713 5790 5 theory theory NN 39713 5790 6 , , , 39713 5790 7 suppose suppose VB 39713 5790 8 for for IN 39713 5790 9 a a DT 39713 5790 10 moment moment NN 39713 5790 11 a a DT 39713 5790 12 gas gas NN 39713 5790 13 whose whose WP$ 39713 5790 14 molecules molecule NNS 39713 5790 15 can can MD 39713 5790 16 not not RB 39713 5790 17 mutually mutually RB 39713 5790 18 clash clash VB 39713 5790 19 , , , 39713 5790 20 but but CC 39713 5790 21 may may MD 39713 5790 22 be be VB 39713 5790 23 deviated deviate VBN 39713 5790 24 by by IN 39713 5790 25 hitting hit VBG 39713 5790 26 the the DT 39713 5790 27 insides inside NNS 39713 5790 28 of of IN 39713 5790 29 the the DT 39713 5790 30 vase vase NN 39713 5790 31 wherein wherein WRB 39713 5790 32 the the DT 39713 5790 33 gas gas NN 39713 5790 34 is be VBZ 39713 5790 35 confined confine VBN 39713 5790 36 . . . 39713 5791 1 If if IN 39713 5791 2 the the DT 39713 5791 3 form form NN 39713 5791 4 of of IN 39713 5791 5 the the DT 39713 5791 6 vase vase NN 39713 5791 7 is be VBZ 39713 5791 8 sufficiently sufficiently RB 39713 5791 9 complex complex JJ 39713 5791 10 the the DT 39713 5791 11 distribution distribution NN 39713 5791 12 of of IN 39713 5791 13 the the DT 39713 5791 14 molecules molecule NNS 39713 5791 15 and and CC 39713 5791 16 that that DT 39713 5791 17 of of IN 39713 5791 18 the the DT 39713 5791 19 velocities velocity NNS 39713 5791 20 will will MD 39713 5791 21 not not RB 39713 5791 22 be be VB 39713 5791 23 long long RB 39713 5791 24 in in IN 39713 5791 25 becoming become VBG 39713 5791 26 uniform uniform NN 39713 5791 27 . . . 39713 5792 1 But but CC 39713 5792 2 this this DT 39713 5792 3 will will MD 39713 5792 4 not not RB 39713 5792 5 be be VB 39713 5792 6 so so RB 39713 5792 7 if if IN 39713 5792 8 the the DT 39713 5792 9 vase vase NN 39713 5792 10 is be VBZ 39713 5792 11 spherical spherical JJ 39713 5792 12 or or CC 39713 5792 13 if if IN 39713 5792 14 it -PRON- PRP 39713 5792 15 has have VBZ 39713 5792 16 the the DT 39713 5792 17 shape shape NN 39713 5792 18 of of IN 39713 5792 19 a a DT 39713 5792 20 cuboid cuboid NN 39713 5792 21 . . . 39713 5793 1 Why why WRB 39713 5793 2 ? ? . 39713 5794 1 Because because IN 39713 5794 2 in in IN 39713 5794 3 the the DT 39713 5794 4 first first JJ 39713 5794 5 case case NN 39713 5794 6 the the DT 39713 5794 7 distance distance NN 39713 5794 8 from from IN 39713 5794 9 the the DT 39713 5794 10 center center NN 39713 5794 11 to to IN 39713 5794 12 any any DT 39713 5794 13 trajectory trajectory NN 39713 5794 14 will will MD 39713 5794 15 remain remain VB 39713 5794 16 constant constant JJ 39713 5794 17 ; ; : 39713 5794 18 in in IN 39713 5794 19 the the DT 39713 5794 20 second second JJ 39713 5794 21 case case NN 39713 5794 22 this this DT 39713 5794 23 will will MD 39713 5794 24 be be VB 39713 5794 25 the the DT 39713 5794 26 absolute absolute JJ 39713 5794 27 value value NN 39713 5794 28 of of IN 39713 5794 29 the the DT 39713 5794 30 angle angle NN 39713 5794 31 of of IN 39713 5794 32 each each DT 39713 5794 33 trajectory trajectory NN 39713 5794 34 with with IN 39713 5794 35 the the DT 39713 5794 36 faces face NNS 39713 5794 37 of of IN 39713 5794 38 the the DT 39713 5794 39 cuboid cuboid NN 39713 5794 40 . . . 39713 5795 1 So so RB 39713 5795 2 we -PRON- PRP 39713 5795 3 see see VBP 39713 5795 4 what what WP 39713 5795 5 should should MD 39713 5795 6 be be VB 39713 5795 7 understood understand VBN 39713 5795 8 by by IN 39713 5795 9 conditions condition NNS 39713 5795 10 _ _ NNP 39713 5795 11 too too RB 39713 5795 12 simple simple JJ 39713 5795 13 _ _ NNP 39713 5795 14 ; ; : 39713 5795 15 they -PRON- PRP 39713 5795 16 are be VBP 39713 5795 17 those those DT 39713 5795 18 which which WDT 39713 5795 19 conserve conserve VBP 39713 5795 20 something something NN 39713 5795 21 , , , 39713 5795 22 which which WDT 39713 5795 23 leave leave VBP 39713 5795 24 an an DT 39713 5795 25 invariant invariant JJ 39713 5795 26 remaining remain VBG 39713 5795 27 . . . 39713 5796 1 Are be VBP 39713 5796 2 the the DT 39713 5796 3 differential differential JJ 39713 5796 4 equations equation NNS 39713 5796 5 of of IN 39713 5796 6 the the DT 39713 5796 7 problem problem NN 39713 5796 8 too too RB 39713 5796 9 simple simple JJ 39713 5796 10 for for IN 39713 5796 11 us -PRON- PRP 39713 5796 12 to to TO 39713 5796 13 apply apply VB 39713 5796 14 the the DT 39713 5796 15 laws law NNS 39713 5796 16 of of IN 39713 5796 17 chance chance NN 39713 5796 18 ? ? . 39713 5797 1 This this DT 39713 5797 2 question question NN 39713 5797 3 would would MD 39713 5797 4 seem seem VB 39713 5797 5 at at IN 39713 5797 6 first first JJ 39713 5797 7 view view NN 39713 5797 8 to to TO 39713 5797 9 lack lack VB 39713 5797 10 precise precise JJ 39713 5797 11 meaning meaning NN 39713 5797 12 ; ; : 39713 5797 13 now now RB 39713 5797 14 we -PRON- PRP 39713 5797 15 know know VBP 39713 5797 16 what what WP 39713 5797 17 it -PRON- PRP 39713 5797 18 means mean VBZ 39713 5797 19 . . . 39713 5798 1 They -PRON- PRP 39713 5798 2 are be VBP 39713 5798 3 too too RB 39713 5798 4 simple simple JJ 39713 5798 5 if if IN 39713 5798 6 they -PRON- PRP 39713 5798 7 conserve conserve VBP 39713 5798 8 something something NN 39713 5798 9 , , , 39713 5798 10 if if IN 39713 5798 11 they -PRON- PRP 39713 5798 12 admit admit VBP 39713 5798 13 a a DT 39713 5798 14 uniform uniform JJ 39713 5798 15 integral integral NN 39713 5798 16 . . . 39713 5799 1 If if IN 39713 5799 2 something something NN 39713 5799 3 in in IN 39713 5799 4 the the DT 39713 5799 5 initial initial JJ 39713 5799 6 conditions condition NNS 39713 5799 7 remains remain VBZ 39713 5799 8 unchanged unchanged JJ 39713 5799 9 , , , 39713 5799 10 it -PRON- PRP 39713 5799 11 is be VBZ 39713 5799 12 clear clear JJ 39713 5799 13 the the DT 39713 5799 14 final final JJ 39713 5799 15 situation situation NN 39713 5799 16 can can MD 39713 5799 17 no no RB 39713 5799 18 longer longer RB 39713 5799 19 be be VB 39713 5799 20 independent independent JJ 39713 5799 21 of of IN 39713 5799 22 the the DT 39713 5799 23 initial initial JJ 39713 5799 24 situation situation NN 39713 5799 25 . . . 39713 5800 1 We -PRON- PRP 39713 5800 2 come come VBP 39713 5800 3 finally finally RB 39713 5800 4 to to IN 39713 5800 5 the the DT 39713 5800 6 theory theory NN 39713 5800 7 of of IN 39713 5800 8 errors error NNS 39713 5800 9 . . . 39713 5801 1 We -PRON- PRP 39713 5801 2 know know VBP 39713 5801 3 not not RB 39713 5801 4 to to TO 39713 5801 5 what what WP 39713 5801 6 are be VBP 39713 5801 7 due due JJ 39713 5801 8 the the DT 39713 5801 9 accidental accidental JJ 39713 5801 10 errors error NNS 39713 5801 11 , , , 39713 5801 12 and and CC 39713 5801 13 precisely precisely RB 39713 5801 14 because because IN 39713 5801 15 we -PRON- PRP 39713 5801 16 do do VBP 39713 5801 17 not not RB 39713 5801 18 know know VB 39713 5801 19 , , , 39713 5801 20 we -PRON- PRP 39713 5801 21 are be VBP 39713 5801 22 aware aware JJ 39713 5801 23 they -PRON- PRP 39713 5801 24 obey obey VBP 39713 5801 25 the the DT 39713 5801 26 law law NN 39713 5801 27 of of IN 39713 5801 28 Gauss Gauss NNP 39713 5801 29 . . . 39713 5802 1 Such such JJ 39713 5802 2 is be VBZ 39713 5802 3 the the DT 39713 5802 4 paradox paradox NN 39713 5802 5 . . . 39713 5803 1 The the DT 39713 5803 2 explanation explanation NN 39713 5803 3 is be VBZ 39713 5803 4 nearly nearly RB 39713 5803 5 the the DT 39713 5803 6 same same JJ 39713 5803 7 as as IN 39713 5803 8 in in IN 39713 5803 9 the the DT 39713 5803 10 preceding precede VBG 39713 5803 11 cases case NNS 39713 5803 12 . . . 39713 5804 1 We -PRON- PRP 39713 5804 2 need nee MD 39713 5804 3 know know VB 39713 5804 4 only only RB 39713 5804 5 one one CD 39713 5804 6 thing thing NN 39713 5804 7 : : : 39713 5804 8 that that IN 39713 5804 9 the the DT 39713 5804 10 errors error NNS 39713 5804 11 are be VBP 39713 5804 12 very very RB 39713 5804 13 numerous numerous JJ 39713 5804 14 , , , 39713 5804 15 that that IN 39713 5804 16 they -PRON- PRP 39713 5804 17 are be VBP 39713 5804 18 very very RB 39713 5804 19 slight slight JJ 39713 5804 20 , , , 39713 5804 21 that that IN 39713 5804 22 each each DT 39713 5804 23 may may MD 39713 5804 24 be be VB 39713 5804 25 as as RB 39713 5804 26 well well RB 39713 5804 27 negative negative JJ 39713 5804 28 as as IN 39713 5804 29 positive positive JJ 39713 5804 30 . . . 39713 5805 1 What what WP 39713 5805 2 is be VBZ 39713 5805 3 the the DT 39713 5805 4 curve curve NN 39713 5805 5 of of IN 39713 5805 6 probability probability NN 39713 5805 7 of of IN 39713 5805 8 each each DT 39713 5805 9 of of IN 39713 5805 10 them -PRON- PRP 39713 5805 11 ? ? . 39713 5806 1 We -PRON- PRP 39713 5806 2 do do VBP 39713 5806 3 not not RB 39713 5806 4 know know VB 39713 5806 5 ; ; : 39713 5806 6 we -PRON- PRP 39713 5806 7 only only RB 39713 5806 8 suppose suppose VBP 39713 5806 9 it -PRON- PRP 39713 5806 10 is be VBZ 39713 5806 11 symmetric symmetric JJ 39713 5806 12 . . . 39713 5807 1 We -PRON- PRP 39713 5807 2 prove prove VBP 39713 5807 3 then then RB 39713 5807 4 that that IN 39713 5807 5 the the DT 39713 5807 6 resultant resultant JJ 39713 5807 7 error error NN 39713 5807 8 will will MD 39713 5807 9 follow follow VB 39713 5807 10 Gauss Gauss NNP 39713 5807 11 's 's POS 39713 5807 12 law law NN 39713 5807 13 , , , 39713 5807 14 and and CC 39713 5807 15 this this DT 39713 5807 16 resulting result VBG 39713 5807 17 law law NN 39713 5807 18 is be VBZ 39713 5807 19 independent independent JJ 39713 5807 20 of of IN 39713 5807 21 the the DT 39713 5807 22 particular particular JJ 39713 5807 23 laws law NNS 39713 5807 24 which which WDT 39713 5807 25 we -PRON- PRP 39713 5807 26 do do VBP 39713 5807 27 not not RB 39713 5807 28 know know VB 39713 5807 29 . . . 39713 5808 1 Here here RB 39713 5808 2 again again RB 39713 5808 3 the the DT 39713 5808 4 simplicity simplicity NN 39713 5808 5 of of IN 39713 5808 6 the the DT 39713 5808 7 result result NN 39713 5808 8 is be VBZ 39713 5808 9 born bear VBN 39713 5808 10 of of IN 39713 5808 11 the the DT 39713 5808 12 very very JJ 39713 5808 13 complexity complexity NN 39713 5808 14 of of IN 39713 5808 15 the the DT 39713 5808 16 data datum NNS 39713 5808 17 . . . 39713 5809 1 VII VII NNP 39713 5809 2 But but CC 39713 5809 3 we -PRON- PRP 39713 5809 4 are be VBP 39713 5809 5 not not RB 39713 5809 6 through through IN 39713 5809 7 with with IN 39713 5809 8 paradoxes paradox NNS 39713 5809 9 . . . 39713 5810 1 I -PRON- PRP 39713 5810 2 have have VBP 39713 5810 3 just just RB 39713 5810 4 recalled recall VBN 39713 5810 5 the the DT 39713 5810 6 figment figment NN 39713 5810 7 of of IN 39713 5810 8 Flammarion Flammarion NNP 39713 5810 9 , , , 39713 5810 10 that that DT 39713 5810 11 of of IN 39713 5810 12 the the DT 39713 5810 13 man man NN 39713 5810 14 going go VBG 39713 5810 15 quicker quick RBR 39713 5810 16 than than IN 39713 5810 17 light light NN 39713 5810 18 , , , 39713 5810 19 for for IN 39713 5810 20 whom whom WP 39713 5810 21 time time NN 39713 5810 22 changes change VBZ 39713 5810 23 sign sign VBP 39713 5810 24 . . . 39713 5811 1 I -PRON- PRP 39713 5811 2 said say VBD 39713 5811 3 that that IN 39713 5811 4 for for IN 39713 5811 5 him -PRON- PRP 39713 5811 6 all all DT 39713 5811 7 phenomena phenomenon NNS 39713 5811 8 would would MD 39713 5811 9 seem seem VB 39713 5811 10 due due IN 39713 5811 11 to to IN 39713 5811 12 chance chance NN 39713 5811 13 . . . 39713 5812 1 That that DT 39713 5812 2 is be VBZ 39713 5812 3 true true JJ 39713 5812 4 from from IN 39713 5812 5 a a DT 39713 5812 6 certain certain JJ 39713 5812 7 point point NN 39713 5812 8 of of IN 39713 5812 9 view view NN 39713 5812 10 , , , 39713 5812 11 and and CC 39713 5812 12 yet yet RB 39713 5812 13 all all PDT 39713 5812 14 these these DT 39713 5812 15 phenomena phenomenon NNS 39713 5812 16 at at IN 39713 5812 17 a a DT 39713 5812 18 given give VBN 39713 5812 19 moment moment NN 39713 5812 20 would would MD 39713 5812 21 not not RB 39713 5812 22 be be VB 39713 5812 23 distributed distribute VBN 39713 5812 24 in in IN 39713 5812 25 conformity conformity NN 39713 5812 26 with with IN 39713 5812 27 the the DT 39713 5812 28 laws law NNS 39713 5812 29 of of IN 39713 5812 30 chance chance NN 39713 5812 31 , , , 39713 5812 32 since since IN 39713 5812 33 the the DT 39713 5812 34 distribution distribution NN 39713 5812 35 would would MD 39713 5812 36 be be VB 39713 5812 37 the the DT 39713 5812 38 same same JJ 39713 5812 39 as as IN 39713 5812 40 for for IN 39713 5812 41 us -PRON- PRP 39713 5812 42 , , , 39713 5812 43 who who WP 39713 5812 44 , , , 39713 5812 45 seeing see VBG 39713 5812 46 them -PRON- PRP 39713 5812 47 unfold unfold VB 39713 5812 48 harmoniously harmoniously RB 39713 5812 49 and and CC 39713 5812 50 without without IN 39713 5812 51 coming come VBG 39713 5812 52 out out IN 39713 5812 53 of of IN 39713 5812 54 a a DT 39713 5812 55 primal primal JJ 39713 5812 56 chaos chaos NN 39713 5812 57 , , , 39713 5812 58 do do VB 39713 5812 59 not not RB 39713 5812 60 regard regard VB 39713 5812 61 them -PRON- PRP 39713 5812 62 as as IN 39713 5812 63 ruled rule VBN 39713 5812 64 by by IN 39713 5812 65 chance chance NN 39713 5812 66 . . . 39713 5813 1 What what WP 39713 5813 2 does do VBZ 39713 5813 3 that that DT 39713 5813 4 mean mean VB 39713 5813 5 ? ? . 39713 5814 1 For for IN 39713 5814 2 Lumen Lumen NNP 39713 5814 3 , , , 39713 5814 4 Flammarion Flammarion NNP 39713 5814 5 's 's POS 39713 5814 6 man man NN 39713 5814 7 , , , 39713 5814 8 slight slight JJ 39713 5814 9 causes cause NNS 39713 5814 10 seem seem VBP 39713 5814 11 to to TO 39713 5814 12 produce produce VB 39713 5814 13 great great JJ 39713 5814 14 effects effect NNS 39713 5814 15 ; ; : 39713 5814 16 why why WRB 39713 5814 17 do do VBP 39713 5814 18 not not RB 39713 5814 19 things thing NNS 39713 5814 20 go go VB 39713 5814 21 on on RP 39713 5814 22 as as IN 39713 5814 23 for for IN 39713 5814 24 us -PRON- PRP 39713 5814 25 when when WRB 39713 5814 26 we -PRON- PRP 39713 5814 27 think think VBP 39713 5814 28 we -PRON- PRP 39713 5814 29 see see VBP 39713 5814 30 grand grand JJ 39713 5814 31 effects effect NNS 39713 5814 32 due due JJ 39713 5814 33 to to IN 39713 5814 34 little little JJ 39713 5814 35 causes cause NNS 39713 5814 36 ? ? . 39713 5815 1 Would Would MD 39713 5815 2 not not RB 39713 5815 3 the the DT 39713 5815 4 same same JJ 39713 5815 5 reasoning reasoning NN 39713 5815 6 be be VB 39713 5815 7 applicable applicable JJ 39713 5815 8 in in IN 39713 5815 9 his -PRON- PRP$ 39713 5815 10 case case NN 39713 5815 11 ? ? . 39713 5816 1 Let let VB 39713 5816 2 us -PRON- PRP 39713 5816 3 return return VB 39713 5816 4 to to IN 39713 5816 5 the the DT 39713 5816 6 argument argument NN 39713 5816 7 . . . 39713 5817 1 When when WRB 39713 5817 2 slight slight JJ 39713 5817 3 differences difference NNS 39713 5817 4 in in IN 39713 5817 5 the the DT 39713 5817 6 causes cause NNS 39713 5817 7 produce produce VBP 39713 5817 8 vast vast JJ 39713 5817 9 differences difference NNS 39713 5817 10 in in IN 39713 5817 11 the the DT 39713 5817 12 effects effect NNS 39713 5817 13 , , , 39713 5817 14 why why WRB 39713 5817 15 are be VBP 39713 5817 16 these these DT 39713 5817 17 effects effect NNS 39713 5817 18 distributed distribute VBN 39713 5817 19 according accord VBG 39713 5817 20 to to IN 39713 5817 21 the the DT 39713 5817 22 laws law NNS 39713 5817 23 of of IN 39713 5817 24 chance chance NN 39713 5817 25 ? ? . 39713 5818 1 Suppose suppose VB 39713 5818 2 a a DT 39713 5818 3 difference difference NN 39713 5818 4 of of IN 39713 5818 5 a a DT 39713 5818 6 millimeter millimeter NN 39713 5818 7 in in IN 39713 5818 8 the the DT 39713 5818 9 cause cause NN 39713 5818 10 produces produce VBZ 39713 5818 11 a a DT 39713 5818 12 difference difference NN 39713 5818 13 of of IN 39713 5818 14 a a DT 39713 5818 15 kilometer kilometer NN 39713 5818 16 in in IN 39713 5818 17 the the DT 39713 5818 18 effect effect NN 39713 5818 19 . . . 39713 5819 1 If if IN 39713 5819 2 I -PRON- PRP 39713 5819 3 win win VBP 39713 5819 4 in in IN 39713 5819 5 case case NN 39713 5819 6 the the DT 39713 5819 7 effect effect NN 39713 5819 8 corresponds correspond VBZ 39713 5819 9 to to IN 39713 5819 10 a a DT 39713 5819 11 kilometer kilometer NN 39713 5819 12 bearing bear VBG 39713 5819 13 an an DT 39713 5819 14 even even JJ 39713 5819 15 number number NN 39713 5819 16 , , , 39713 5819 17 my -PRON- PRP$ 39713 5819 18 probability probability NN 39713 5819 19 of of IN 39713 5819 20 winning winning NN 39713 5819 21 will will MD 39713 5819 22 be be VB 39713 5819 23 1/2 1/2 CD 39713 5819 24 . . . 39713 5820 1 Why why WRB 39713 5820 2 ? ? . 39713 5821 1 Because because IN 39713 5821 2 to to TO 39713 5821 3 make make VB 39713 5821 4 that that DT 39713 5821 5 , , , 39713 5821 6 the the DT 39713 5821 7 cause cause NN 39713 5821 8 must must MD 39713 5821 9 correspond correspond VB 39713 5821 10 to to IN 39713 5821 11 a a DT 39713 5821 12 millimeter millimeter NN 39713 5821 13 with with IN 39713 5821 14 an an DT 39713 5821 15 even even JJ 39713 5821 16 number number NN 39713 5821 17 . . . 39713 5822 1 Now now RB 39713 5822 2 , , , 39713 5822 3 according accord VBG 39713 5822 4 to to IN 39713 5822 5 all all DT 39713 5822 6 appearance appearance NN 39713 5822 7 , , , 39713 5822 8 the the DT 39713 5822 9 probability probability NN 39713 5822 10 of of IN 39713 5822 11 the the DT 39713 5822 12 cause cause NN 39713 5822 13 varying varying NN 39713 5822 14 between between IN 39713 5822 15 certain certain JJ 39713 5822 16 limits limit NNS 39713 5822 17 will will MD 39713 5822 18 be be VB 39713 5822 19 proportional proportional JJ 39713 5822 20 to to IN 39713 5822 21 the the DT 39713 5822 22 distance distance NN 39713 5822 23 apart apart RB 39713 5822 24 of of IN 39713 5822 25 these these DT 39713 5822 26 limits limit NNS 39713 5822 27 , , , 39713 5822 28 provided provide VBD 39713 5822 29 this this DT 39713 5822 30 distance distance NN 39713 5822 31 be be VB 39713 5822 32 very very RB 39713 5822 33 small small JJ 39713 5822 34 . . . 39713 5823 1 If if IN 39713 5823 2 this this DT 39713 5823 3 hypothesis hypothesis NN 39713 5823 4 were be VBD 39713 5823 5 not not RB 39713 5823 6 admitted admit VBN 39713 5823 7 there there EX 39713 5823 8 would would MD 39713 5823 9 no no RB 39713 5823 10 longer longer RB 39713 5823 11 be be VB 39713 5823 12 any any DT 39713 5823 13 way way NN 39713 5823 14 of of IN 39713 5823 15 representing represent VBG 39713 5823 16 the the DT 39713 5823 17 probability probability NN 39713 5823 18 by by IN 39713 5823 19 a a DT 39713 5823 20 continuous continuous JJ 39713 5823 21 function function NN 39713 5823 22 . . . 39713 5824 1 What what WP 39713 5824 2 now now RB 39713 5824 3 will will MD 39713 5824 4 happen happen VB 39713 5824 5 when when WRB 39713 5824 6 great great JJ 39713 5824 7 causes cause NNS 39713 5824 8 produce produce VBP 39713 5824 9 small small JJ 39713 5824 10 effects effect NNS 39713 5824 11 ? ? . 39713 5825 1 This this DT 39713 5825 2 is be VBZ 39713 5825 3 the the DT 39713 5825 4 case case NN 39713 5825 5 where where WRB 39713 5825 6 we -PRON- PRP 39713 5825 7 should should MD 39713 5825 8 not not RB 39713 5825 9 attribute attribute VB 39713 5825 10 the the DT 39713 5825 11 phenomenon phenomenon NN 39713 5825 12 to to TO 39713 5825 13 chance chance VB 39713 5825 14 and and CC 39713 5825 15 where where WRB 39713 5825 16 on on IN 39713 5825 17 the the DT 39713 5825 18 contrary contrary JJ 39713 5825 19 Lumen Lumen NNP 39713 5825 20 would would MD 39713 5825 21 attribute attribute VB 39713 5825 22 it -PRON- PRP 39713 5825 23 to to IN 39713 5825 24 chance chance NN 39713 5825 25 . . . 39713 5826 1 To to IN 39713 5826 2 a a DT 39713 5826 3 difference difference NN 39713 5826 4 of of IN 39713 5826 5 a a DT 39713 5826 6 kilometer kilometer NN 39713 5826 7 in in IN 39713 5826 8 the the DT 39713 5826 9 cause cause NN 39713 5826 10 would would MD 39713 5826 11 correspond correspond VB 39713 5826 12 a a DT 39713 5826 13 difference difference NN 39713 5826 14 of of IN 39713 5826 15 a a DT 39713 5826 16 millimeter millimeter NN 39713 5826 17 in in IN 39713 5826 18 the the DT 39713 5826 19 effect effect NN 39713 5826 20 . . . 39713 5827 1 Would Would MD 39713 5827 2 the the DT 39713 5827 3 probability probability NN 39713 5827 4 of of IN 39713 5827 5 the the DT 39713 5827 6 cause cause NN 39713 5827 7 being be VBG 39713 5827 8 comprised comprise VBN 39713 5827 9 between between IN 39713 5827 10 two two CD 39713 5827 11 limits limit NNS 39713 5827 12 _ _ NNP 39713 5827 13 n n NNP 39713 5827 14 _ _ NNP 39713 5827 15 kilometers kilometer VBZ 39713 5827 16 apart apart RB 39713 5827 17 still still RB 39713 5827 18 be be VB 39713 5827 19 proportional proportional JJ 39713 5827 20 to to IN 39713 5827 21 _ _ NNP 39713 5827 22 n n CC 39713 5827 23 _ _ NNP 39713 5827 24 ? ? . 39713 5828 1 We -PRON- PRP 39713 5828 2 have have VBP 39713 5828 3 no no DT 39713 5828 4 reason reason NN 39713 5828 5 to to TO 39713 5828 6 suppose suppose VB 39713 5828 7 so so RB 39713 5828 8 , , , 39713 5828 9 since since IN 39713 5828 10 this this DT 39713 5828 11 distance distance NN 39713 5828 12 , , , 39713 5828 13 _ _ NNP 39713 5828 14 n n NNP 39713 5828 15 _ _ NNP 39713 5828 16 kilometers kilometer NNS 39713 5828 17 , , , 39713 5828 18 is be VBZ 39713 5828 19 great great JJ 39713 5828 20 . . . 39713 5829 1 But but CC 39713 5829 2 the the DT 39713 5829 3 probability probability NN 39713 5829 4 that that WDT 39713 5829 5 the the DT 39713 5829 6 effect effect NN 39713 5829 7 lies lie VBZ 39713 5829 8 between between IN 39713 5829 9 two two CD 39713 5829 10 limits limit NNS 39713 5829 11 _ _ NNP 39713 5829 12 n n CC 39713 5829 13 _ _ NNP 39713 5829 14 millimeters millimeter NNS 39713 5829 15 apart apart RB 39713 5829 16 will will MD 39713 5829 17 be be VB 39713 5829 18 precisely precisely RB 39713 5829 19 the the DT 39713 5829 20 same same JJ 39713 5829 21 , , , 39713 5829 22 so so CC 39713 5829 23 it -PRON- PRP 39713 5829 24 will will MD 39713 5829 25 not not RB 39713 5829 26 be be VB 39713 5829 27 proportional proportional JJ 39713 5829 28 to to IN 39713 5829 29 _ _ NNP 39713 5829 30 n n CC 39713 5829 31 _ _ NNP 39713 5829 32 , , , 39713 5829 33 even even RB 39713 5829 34 though though IN 39713 5829 35 this this DT 39713 5829 36 distance distance NN 39713 5829 37 , , , 39713 5829 38 _ _ NNP 39713 5829 39 n n CC 39713 5829 40 _ _ NNP 39713 5829 41 millimeters millimeter NNS 39713 5829 42 , , , 39713 5829 43 be be VB 39713 5829 44 small small JJ 39713 5829 45 . . . 39713 5830 1 There there EX 39713 5830 2 is be VBZ 39713 5830 3 no no DT 39713 5830 4 way way NN 39713 5830 5 therefore therefore RB 39713 5830 6 of of IN 39713 5830 7 representing represent VBG 39713 5830 8 the the DT 39713 5830 9 law law NN 39713 5830 10 of of IN 39713 5830 11 probability probability NN 39713 5830 12 of of IN 39713 5830 13 effects effect NNS 39713 5830 14 by by IN 39713 5830 15 a a DT 39713 5830 16 continuous continuous JJ 39713 5830 17 curve curve NN 39713 5830 18 . . . 39713 5831 1 This this DT 39713 5831 2 curve curve NN 39713 5831 3 , , , 39713 5831 4 understand understand VB 39713 5831 5 , , , 39713 5831 6 may may MD 39713 5831 7 remain remain VB 39713 5831 8 continuous continuous JJ 39713 5831 9 in in IN 39713 5831 10 the the DT 39713 5831 11 _ _ NNP 39713 5831 12 analytic analytic JJ 39713 5831 13 _ _ NNP 39713 5831 14 sense sense NN 39713 5831 15 of of IN 39713 5831 16 the the DT 39713 5831 17 word word NN 39713 5831 18 ; ; : 39713 5831 19 to to IN 39713 5831 20 _ _ NNP 39713 5831 21 infinitesimal infinitesimal JJ 39713 5831 22 _ _ NNP 39713 5831 23 variations variation NNS 39713 5831 24 of of IN 39713 5831 25 the the DT 39713 5831 26 abscissa abscissa NN 39713 5831 27 will will MD 39713 5831 28 correspond correspond VB 39713 5831 29 infinitesimal infinitesimal JJ 39713 5831 30 variations variation NNS 39713 5831 31 of of IN 39713 5831 32 the the DT 39713 5831 33 ordinate ordinate NN 39713 5831 34 . . . 39713 5832 1 But but CC 39713 5832 2 _ _ NNP 39713 5832 3 practically practically RB 39713 5832 4 _ _ IN 39713 5832 5 it -PRON- PRP 39713 5832 6 will will MD 39713 5832 7 not not RB 39713 5832 8 be be VB 39713 5832 9 continuous continuous JJ 39713 5832 10 , , , 39713 5832 11 since since IN 39713 5832 12 _ _ NNP 39713 5832 13 very very RB 39713 5832 14 small small JJ 39713 5832 15 _ _ NNP 39713 5832 16 variations variation NNS 39713 5832 17 of of IN 39713 5832 18 the the DT 39713 5832 19 ordinate ordinate NN 39713 5832 20 would would MD 39713 5832 21 not not RB 39713 5832 22 correspond correspond VB 39713 5832 23 to to IN 39713 5832 24 very very RB 39713 5832 25 small small JJ 39713 5832 26 variations variation NNS 39713 5832 27 of of IN 39713 5832 28 the the DT 39713 5832 29 abscissa abscissa NN 39713 5832 30 . . . 39713 5833 1 It -PRON- PRP 39713 5833 2 would would MD 39713 5833 3 become become VB 39713 5833 4 impossible impossible JJ 39713 5833 5 to to TO 39713 5833 6 trace trace VB 39713 5833 7 the the DT 39713 5833 8 curve curve NN 39713 5833 9 with with IN 39713 5833 10 an an DT 39713 5833 11 ordinary ordinary JJ 39713 5833 12 pencil pencil NN 39713 5833 13 ; ; : 39713 5833 14 that that DT 39713 5833 15 is be VBZ 39713 5833 16 what what WP 39713 5833 17 I -PRON- PRP 39713 5833 18 mean mean VBP 39713 5833 19 . . . 39713 5834 1 So so RB 39713 5834 2 what what WP 39713 5834 3 must must MD 39713 5834 4 we -PRON- PRP 39713 5834 5 conclude conclude VB 39713 5834 6 ? ? . 39713 5835 1 Lumen Lumen NNP 39713 5835 2 has have VBZ 39713 5835 3 no no DT 39713 5835 4 right right NN 39713 5835 5 to to TO 39713 5835 6 say say VB 39713 5835 7 that that IN 39713 5835 8 the the DT 39713 5835 9 probability probability NN 39713 5835 10 of of IN 39713 5835 11 the the DT 39713 5835 12 cause cause NN 39713 5835 13 ( ( -LRB- 39713 5835 14 _ _ NNP 39713 5835 15 his -PRON- PRP$ 39713 5835 16 _ _ NNP 39713 5835 17 cause cause NN 39713 5835 18 , , , 39713 5835 19 our -PRON- PRP$ 39713 5835 20 effect effect NN 39713 5835 21 ) ) -RRB- 39713 5835 22 should should MD 39713 5835 23 be be VB 39713 5835 24 represented represent VBN 39713 5835 25 necessarily necessarily RB 39713 5835 26 by by IN 39713 5835 27 a a DT 39713 5835 28 continuous continuous JJ 39713 5835 29 function function NN 39713 5835 30 . . . 39713 5836 1 But but CC 39713 5836 2 then then RB 39713 5836 3 why why WRB 39713 5836 4 have have VBP 39713 5836 5 we -PRON- PRP 39713 5836 6 this this DT 39713 5836 7 right right JJ 39713 5836 8 ? ? . 39713 5837 1 It -PRON- PRP 39713 5837 2 is be VBZ 39713 5837 3 because because IN 39713 5837 4 this this DT 39713 5837 5 state state NN 39713 5837 6 of of IN 39713 5837 7 unstable unstable JJ 39713 5837 8 equilibrium equilibrium NN 39713 5837 9 which which WDT 39713 5837 10 we -PRON- PRP 39713 5837 11 have have VBP 39713 5837 12 been be VBN 39713 5837 13 calling call VBG 39713 5837 14 initial initial JJ 39713 5837 15 is be VBZ 39713 5837 16 itself -PRON- PRP 39713 5837 17 only only RB 39713 5837 18 the the DT 39713 5837 19 final final JJ 39713 5837 20 outcome outcome NN 39713 5837 21 of of IN 39713 5837 22 a a DT 39713 5837 23 long long JJ 39713 5837 24 previous previous JJ 39713 5837 25 history history NN 39713 5837 26 . . . 39713 5838 1 In in IN 39713 5838 2 the the DT 39713 5838 3 course course NN 39713 5838 4 of of IN 39713 5838 5 this this DT 39713 5838 6 history history NN 39713 5838 7 complex complex JJ 39713 5838 8 causes cause NNS 39713 5838 9 have have VBP 39713 5838 10 worked work VBN 39713 5838 11 a a DT 39713 5838 12 great great JJ 39713 5838 13 while while NN 39713 5838 14 : : : 39713 5838 15 they -PRON- PRP 39713 5838 16 have have VBP 39713 5838 17 contributed contribute VBN 39713 5838 18 to to TO 39713 5838 19 produce produce VB 39713 5838 20 the the DT 39713 5838 21 mixture mixture NN 39713 5838 22 of of IN 39713 5838 23 elements element NNS 39713 5838 24 and and CC 39713 5838 25 they -PRON- PRP 39713 5838 26 have have VBP 39713 5838 27 tended tend VBN 39713 5838 28 to to TO 39713 5838 29 make make VB 39713 5838 30 everything everything NN 39713 5838 31 uniform uniform JJ 39713 5838 32 at at IN 39713 5838 33 least least JJS 39713 5838 34 within within IN 39713 5838 35 a a DT 39713 5838 36 small small JJ 39713 5838 37 region region NN 39713 5838 38 ; ; : 39713 5838 39 they -PRON- PRP 39713 5838 40 have have VBP 39713 5838 41 rounded round VBN 39713 5838 42 off off RP 39713 5838 43 the the DT 39713 5838 44 corners corner NNS 39713 5838 45 , , , 39713 5838 46 smoothed smooth VBD 39713 5838 47 down down RP 39713 5838 48 the the DT 39713 5838 49 hills hill NNS 39713 5838 50 and and CC 39713 5838 51 filled fill VBD 39713 5838 52 up up RP 39713 5838 53 the the DT 39713 5838 54 valleys valley NNS 39713 5838 55 . . . 39713 5839 1 However however WRB 39713 5839 2 capricious capricious JJ 39713 5839 3 and and CC 39713 5839 4 irregular irregular JJ 39713 5839 5 may may MD 39713 5839 6 have have VB 39713 5839 7 been be VBN 39713 5839 8 the the DT 39713 5839 9 primitive primitive JJ 39713 5839 10 curve curve NN 39713 5839 11 given give VBN 39713 5839 12 over over RP 39713 5839 13 to to IN 39713 5839 14 them -PRON- PRP 39713 5839 15 , , , 39713 5839 16 they -PRON- PRP 39713 5839 17 have have VBP 39713 5839 18 worked work VBN 39713 5839 19 so so RB 39713 5839 20 much much RB 39713 5839 21 toward toward IN 39713 5839 22 making make VBG 39713 5839 23 it -PRON- PRP 39713 5839 24 regular regular JJ 39713 5839 25 that that IN 39713 5839 26 finally finally RB 39713 5839 27 they -PRON- PRP 39713 5839 28 deliver deliver VBP 39713 5839 29 over over RP 39713 5839 30 to to IN 39713 5839 31 us -PRON- PRP 39713 5839 32 a a DT 39713 5839 33 continuous continuous JJ 39713 5839 34 curve curve NN 39713 5839 35 . . . 39713 5840 1 And and CC 39713 5840 2 this this DT 39713 5840 3 is be VBZ 39713 5840 4 why why WRB 39713 5840 5 we -PRON- PRP 39713 5840 6 may may MD 39713 5840 7 in in IN 39713 5840 8 all all DT 39713 5840 9 confidence confidence NN 39713 5840 10 assume assume VB 39713 5840 11 its -PRON- PRP$ 39713 5840 12 continuity continuity NN 39713 5840 13 . . . 39713 5841 1 Lumen Lumen NNP 39713 5841 2 would would MD 39713 5841 3 not not RB 39713 5841 4 have have VB 39713 5841 5 the the DT 39713 5841 6 same same JJ 39713 5841 7 reasons reason NNS 39713 5841 8 for for IN 39713 5841 9 such such PDT 39713 5841 10 a a DT 39713 5841 11 conclusion conclusion NN 39713 5841 12 . . . 39713 5842 1 For for IN 39713 5842 2 him -PRON- PRP 39713 5842 3 complex complex JJ 39713 5842 4 causes cause NNS 39713 5842 5 would would MD 39713 5842 6 not not RB 39713 5842 7 seem seem VB 39713 5842 8 agents agent NNS 39713 5842 9 of of IN 39713 5842 10 equalization equalization NN 39713 5842 11 and and CC 39713 5842 12 regularity regularity NN 39713 5842 13 , , , 39713 5842 14 but but CC 39713 5842 15 on on IN 39713 5842 16 the the DT 39713 5842 17 contrary contrary NN 39713 5842 18 would would MD 39713 5842 19 create create VB 39713 5842 20 only only JJ 39713 5842 21 inequality inequality NN 39713 5842 22 and and CC 39713 5842 23 differentiation differentiation NN 39713 5842 24 . . . 39713 5843 1 He -PRON- PRP 39713 5843 2 would would MD 39713 5843 3 see see VB 39713 5843 4 a a DT 39713 5843 5 world world NN 39713 5843 6 more more RBR 39713 5843 7 and and CC 39713 5843 8 more more RBR 39713 5843 9 varied varied JJ 39713 5843 10 come come VBP 39713 5843 11 forth forth RB 39713 5843 12 from from IN 39713 5843 13 a a DT 39713 5843 14 sort sort NN 39713 5843 15 of of IN 39713 5843 16 primitive primitive JJ 39713 5843 17 chaos chaos NN 39713 5843 18 . . . 39713 5844 1 The the DT 39713 5844 2 changes change NNS 39713 5844 3 he -PRON- PRP 39713 5844 4 could could MD 39713 5844 5 observe observe VB 39713 5844 6 would would MD 39713 5844 7 be be VB 39713 5844 8 for for IN 39713 5844 9 him -PRON- PRP 39713 5844 10 unforeseen unforeseen JJ 39713 5844 11 and and CC 39713 5844 12 impossible impossible JJ 39713 5844 13 to to TO 39713 5844 14 foresee foresee VB 39713 5844 15 . . . 39713 5845 1 They -PRON- PRP 39713 5845 2 would would MD 39713 5845 3 seem seem VB 39713 5845 4 to to IN 39713 5845 5 him -PRON- PRP 39713 5845 6 due due IN 39713 5845 7 to to IN 39713 5845 8 some some DT 39713 5845 9 caprice caprice NN 39713 5845 10 or or CC 39713 5845 11 another another DT 39713 5845 12 ; ; : 39713 5845 13 but but CC 39713 5845 14 this this DT 39713 5845 15 caprice caprice NN 39713 5845 16 would would MD 39713 5845 17 be be VB 39713 5845 18 quite quite RB 39713 5845 19 different different JJ 39713 5845 20 from from IN 39713 5845 21 our -PRON- PRP$ 39713 5845 22 chance chance NN 39713 5845 23 , , , 39713 5845 24 since since IN 39713 5845 25 it -PRON- PRP 39713 5845 26 would would MD 39713 5845 27 be be VB 39713 5845 28 opposed opposed JJ 39713 5845 29 to to IN 39713 5845 30 all all DT 39713 5845 31 law law NN 39713 5845 32 , , , 39713 5845 33 while while IN 39713 5845 34 our -PRON- PRP$ 39713 5845 35 chance chance NN 39713 5845 36 still still RB 39713 5845 37 has have VBZ 39713 5845 38 its -PRON- PRP$ 39713 5845 39 laws law NNS 39713 5845 40 . . . 39713 5846 1 All all PDT 39713 5846 2 these these DT 39713 5846 3 points point NNS 39713 5846 4 call call VBP 39713 5846 5 for for IN 39713 5846 6 lengthy lengthy JJ 39713 5846 7 explications explication NNS 39713 5846 8 , , , 39713 5846 9 which which WDT 39713 5846 10 perhaps perhaps RB 39713 5846 11 would would MD 39713 5846 12 aid aid VB 39713 5846 13 in in IN 39713 5846 14 the the DT 39713 5846 15 better well JJR 39713 5846 16 comprehension comprehension NN 39713 5846 17 of of IN 39713 5846 18 the the DT 39713 5846 19 irreversibility irreversibility NN 39713 5846 20 of of IN 39713 5846 21 the the DT 39713 5846 22 universe universe NN 39713 5846 23 . . . 39713 5847 1 VIII viii VBP 39713 5847 2 We -PRON- PRP 39713 5847 3 have have VBP 39713 5847 4 sought seek VBN 39713 5847 5 to to TO 39713 5847 6 define define VB 39713 5847 7 chance chance NN 39713 5847 8 , , , 39713 5847 9 and and CC 39713 5847 10 now now RB 39713 5847 11 it -PRON- PRP 39713 5847 12 is be VBZ 39713 5847 13 proper proper JJ 39713 5847 14 to to TO 39713 5847 15 put put VB 39713 5847 16 a a DT 39713 5847 17 question question NN 39713 5847 18 . . . 39713 5848 1 Has have VBZ 39713 5848 2 chance chance NN 39713 5848 3 thus thus RB 39713 5848 4 defined define VBN 39713 5848 5 , , , 39713 5848 6 in in IN 39713 5848 7 so so RB 39713 5848 8 far far RB 39713 5848 9 as as IN 39713 5848 10 this this DT 39713 5848 11 is be VBZ 39713 5848 12 possible possible JJ 39713 5848 13 , , , 39713 5848 14 objectivity objectivity NN 39713 5848 15 ? ? . 39713 5849 1 It -PRON- PRP 39713 5849 2 may may MD 39713 5849 3 be be VB 39713 5849 4 questioned question VBN 39713 5849 5 . . . 39713 5850 1 I -PRON- PRP 39713 5850 2 have have VBP 39713 5850 3 spoken speak VBN 39713 5850 4 of of IN 39713 5850 5 very very RB 39713 5850 6 slight slight JJ 39713 5850 7 or or CC 39713 5850 8 very very RB 39713 5850 9 complex complex JJ 39713 5850 10 causes cause NNS 39713 5850 11 . . . 39713 5851 1 But but CC 39713 5851 2 what what WP 39713 5851 3 is be VBZ 39713 5851 4 very very RB 39713 5851 5 little little JJ 39713 5851 6 for for IN 39713 5851 7 one one CD 39713 5851 8 may may MD 39713 5851 9 be be VB 39713 5851 10 very very RB 39713 5851 11 big big JJ 39713 5851 12 for for IN 39713 5851 13 another another DT 39713 5851 14 , , , 39713 5851 15 and and CC 39713 5851 16 what what WP 39713 5851 17 seems seem VBZ 39713 5851 18 very very RB 39713 5851 19 complex complex JJ 39713 5851 20 to to IN 39713 5851 21 one one PRP 39713 5851 22 may may MD 39713 5851 23 seem seem VB 39713 5851 24 simple simple JJ 39713 5851 25 to to IN 39713 5851 26 another another DT 39713 5851 27 . . . 39713 5852 1 In in IN 39713 5852 2 part part NN 39713 5852 3 I -PRON- PRP 39713 5852 4 have have VBP 39713 5852 5 already already RB 39713 5852 6 answered answer VBN 39713 5852 7 by by IN 39713 5852 8 saying say VBG 39713 5852 9 precisely precisely RB 39713 5852 10 in in IN 39713 5852 11 what what WP 39713 5852 12 cases case NNS 39713 5852 13 differential differential VBP 39713 5852 14 equations equation NNS 39713 5852 15 become become VBN 39713 5852 16 too too RB 39713 5852 17 simple simple JJ 39713 5852 18 for for IN 39713 5852 19 the the DT 39713 5852 20 laws law NNS 39713 5852 21 of of IN 39713 5852 22 chance chance NN 39713 5852 23 to to TO 39713 5852 24 remain remain VB 39713 5852 25 applicable applicable JJ 39713 5852 26 . . . 39713 5853 1 But but CC 39713 5853 2 it -PRON- PRP 39713 5853 3 is be VBZ 39713 5853 4 fitting fitting JJ 39713 5853 5 to to TO 39713 5853 6 examine examine VB 39713 5853 7 the the DT 39713 5853 8 matter matter NN 39713 5853 9 a a DT 39713 5853 10 little little RB 39713 5853 11 more more RBR 39713 5853 12 closely closely RB 39713 5853 13 , , , 39713 5853 14 because because IN 39713 5853 15 we -PRON- PRP 39713 5853 16 may may MD 39713 5853 17 take take VB 39713 5853 18 still still RB 39713 5853 19 other other JJ 39713 5853 20 points point NNS 39713 5853 21 of of IN 39713 5853 22 view view NN 39713 5853 23 . . . 39713 5854 1 What what WP 39713 5854 2 means mean VBZ 39713 5854 3 the the DT 39713 5854 4 phrase phrase NN 39713 5854 5 ' ' `` 39713 5854 6 very very RB 39713 5854 7 slight slight JJ 39713 5854 8 ' ' '' 39713 5854 9 ? ? . 39713 5855 1 To to TO 39713 5855 2 understand understand VB 39713 5855 3 it -PRON- PRP 39713 5855 4 we -PRON- PRP 39713 5855 5 need need VBP 39713 5855 6 only only RB 39713 5855 7 go go VB 39713 5855 8 back back RB 39713 5855 9 to to IN 39713 5855 10 what what WP 39713 5855 11 has have VBZ 39713 5855 12 already already RB 39713 5855 13 been be VBN 39713 5855 14 said say VBN 39713 5855 15 . . . 39713 5856 1 A a DT 39713 5856 2 difference difference NN 39713 5856 3 is be VBZ 39713 5856 4 very very RB 39713 5856 5 slight slight JJ 39713 5856 6 , , , 39713 5856 7 an an DT 39713 5856 8 interval interval NN 39713 5856 9 is be VBZ 39713 5856 10 very very RB 39713 5856 11 small small JJ 39713 5856 12 , , , 39713 5856 13 when when WRB 39713 5856 14 within within IN 39713 5856 15 the the DT 39713 5856 16 limits limit NNS 39713 5856 17 of of IN 39713 5856 18 this this DT 39713 5856 19 interval interval NN 39713 5856 20 the the DT 39713 5856 21 probability probability NN 39713 5856 22 remains remain VBZ 39713 5856 23 sensibly sensibly RB 39713 5856 24 constant constant JJ 39713 5856 25 . . . 39713 5857 1 And and CC 39713 5857 2 why why WRB 39713 5857 3 may may MD 39713 5857 4 this this DT 39713 5857 5 probability probability NN 39713 5857 6 be be VB 39713 5857 7 regarded regard VBN 39713 5857 8 as as IN 39713 5857 9 constant constant JJ 39713 5857 10 within within IN 39713 5857 11 a a DT 39713 5857 12 small small JJ 39713 5857 13 interval interval NN 39713 5857 14 ? ? . 39713 5858 1 It -PRON- PRP 39713 5858 2 is be VBZ 39713 5858 3 because because IN 39713 5858 4 we -PRON- PRP 39713 5858 5 assume assume VBP 39713 5858 6 that that IN 39713 5858 7 the the DT 39713 5858 8 law law NN 39713 5858 9 of of IN 39713 5858 10 probability probability NN 39713 5858 11 is be VBZ 39713 5858 12 represented represent VBN 39713 5858 13 by by IN 39713 5858 14 a a DT 39713 5858 15 continuous continuous JJ 39713 5858 16 curve curve NN 39713 5858 17 , , , 39713 5858 18 continuous continuous JJ 39713 5858 19 not not RB 39713 5858 20 only only RB 39713 5858 21 in in IN 39713 5858 22 the the DT 39713 5858 23 analytic analytic JJ 39713 5858 24 sense sense NN 39713 5858 25 , , , 39713 5858 26 but but CC 39713 5858 27 _ _ NNP 39713 5858 28 practically practically RB 39713 5858 29 _ _ NNP 39713 5858 30 continuous continuous JJ 39713 5858 31 , , , 39713 5858 32 as as IN 39713 5858 33 already already RB 39713 5858 34 explained explain VBN 39713 5858 35 . . . 39713 5859 1 This this DT 39713 5859 2 means mean VBZ 39713 5859 3 that that IN 39713 5859 4 it -PRON- PRP 39713 5859 5 not not RB 39713 5859 6 only only RB 39713 5859 7 presents present VBZ 39713 5859 8 no no DT 39713 5859 9 absolute absolute JJ 39713 5859 10 hiatus hiatus NN 39713 5859 11 , , , 39713 5859 12 but but CC 39713 5859 13 that that IN 39713 5859 14 it -PRON- PRP 39713 5859 15 has have VBZ 39713 5859 16 neither neither DT 39713 5859 17 salients salient NNS 39713 5859 18 nor nor CC 39713 5859 19 reentrants reentrant NNS 39713 5859 20 too too RB 39713 5859 21 acute acute JJ 39713 5859 22 or or CC 39713 5859 23 too too RB 39713 5859 24 accentuated accentuated JJ 39713 5859 25 . . . 39713 5860 1 And and CC 39713 5860 2 what what WP 39713 5860 3 gives give VBZ 39713 5860 4 us -PRON- PRP 39713 5860 5 the the DT 39713 5860 6 right right NN 39713 5860 7 to to TO 39713 5860 8 make make VB 39713 5860 9 this this DT 39713 5860 10 hypothesis hypothesis NN 39713 5860 11 ? ? . 39713 5861 1 We -PRON- PRP 39713 5861 2 have have VBP 39713 5861 3 already already RB 39713 5861 4 said say VBN 39713 5861 5 it -PRON- PRP 39713 5861 6 is be VBZ 39713 5861 7 because because IN 39713 5861 8 , , , 39713 5861 9 since since IN 39713 5861 10 the the DT 39713 5861 11 beginning beginning NN 39713 5861 12 of of IN 39713 5861 13 the the DT 39713 5861 14 ages age NNS 39713 5861 15 , , , 39713 5861 16 there there EX 39713 5861 17 have have VBP 39713 5861 18 always always RB 39713 5861 19 been be VBN 39713 5861 20 complex complex JJ 39713 5861 21 causes cause NNS 39713 5861 22 ceaselessly ceaselessly RB 39713 5861 23 acting act VBG 39713 5861 24 in in IN 39713 5861 25 the the DT 39713 5861 26 same same JJ 39713 5861 27 way way NN 39713 5861 28 and and CC 39713 5861 29 making make VBG 39713 5861 30 the the DT 39713 5861 31 world world NN 39713 5861 32 tend tend VB 39713 5861 33 toward toward IN 39713 5861 34 uniformity uniformity NN 39713 5861 35 without without IN 39713 5861 36 ever ever RB 39713 5861 37 being be VBG 39713 5861 38 able able JJ 39713 5861 39 to to TO 39713 5861 40 turn turn VB 39713 5861 41 back back RB 39713 5861 42 . . . 39713 5862 1 These these DT 39713 5862 2 are be VBP 39713 5862 3 the the DT 39713 5862 4 causes cause NNS 39713 5862 5 which which WDT 39713 5862 6 little little JJ 39713 5862 7 by by IN 39713 5862 8 little little JJ 39713 5862 9 have have VBP 39713 5862 10 flattened flatten VBN 39713 5862 11 the the DT 39713 5862 12 salients salient NNS 39713 5862 13 and and CC 39713 5862 14 filled fill VBD 39713 5862 15 up up RP 39713 5862 16 the the DT 39713 5862 17 reentrants reentrant NNS 39713 5862 18 , , , 39713 5862 19 and and CC 39713 5862 20 this this DT 39713 5862 21 is be VBZ 39713 5862 22 why why WRB 39713 5862 23 our -PRON- PRP$ 39713 5862 24 probability probability NN 39713 5862 25 curves curve NNS 39713 5862 26 now now RB 39713 5862 27 show show VBP 39713 5862 28 only only RB 39713 5862 29 gentle gentle JJ 39713 5862 30 undulations undulation NNS 39713 5862 31 . . . 39713 5863 1 In in IN 39713 5863 2 milliards milliard NNS 39713 5863 3 of of IN 39713 5863 4 milliards milliard NNS 39713 5863 5 of of IN 39713 5863 6 ages age NNS 39713 5863 7 another another DT 39713 5863 8 step step NN 39713 5863 9 will will MD 39713 5863 10 have have VB 39713 5863 11 been be VBN 39713 5863 12 made make VBN 39713 5863 13 toward toward IN 39713 5863 14 uniformity uniformity NN 39713 5863 15 , , , 39713 5863 16 and and CC 39713 5863 17 these these DT 39713 5863 18 undulations undulation NNS 39713 5863 19 will will MD 39713 5863 20 be be VB 39713 5863 21 ten ten CD 39713 5863 22 times time NNS 39713 5863 23 as as IN 39713 5863 24 gentle gentle JJ 39713 5863 25 ; ; : 39713 5863 26 the the DT 39713 5863 27 radius radius NN 39713 5863 28 of of IN 39713 5863 29 mean mean NNP 39713 5863 30 curvature curvature NN 39713 5863 31 of of IN 39713 5863 32 our -PRON- PRP$ 39713 5863 33 curve curve NN 39713 5863 34 will will MD 39713 5863 35 have have VB 39713 5863 36 become become VBN 39713 5863 37 ten ten CD 39713 5863 38 times time NNS 39713 5863 39 as as RB 39713 5863 40 great great JJ 39713 5863 41 . . . 39713 5864 1 And and CC 39713 5864 2 then then RB 39713 5864 3 such such PDT 39713 5864 4 a a DT 39713 5864 5 length length NN 39713 5864 6 as as RB 39713 5864 7 seems seem VBZ 39713 5864 8 to to IN 39713 5864 9 us -PRON- PRP 39713 5864 10 to to IN 39713 5864 11 - - HYPH 39713 5864 12 day day NN 39713 5864 13 not not RB 39713 5864 14 very very RB 39713 5864 15 small small JJ 39713 5864 16 , , , 39713 5864 17 since since IN 39713 5864 18 on on IN 39713 5864 19 our -PRON- PRP$ 39713 5864 20 curve curve NN 39713 5864 21 an an DT 39713 5864 22 arc arc NN 39713 5864 23 of of IN 39713 5864 24 this this DT 39713 5864 25 length length NN 39713 5864 26 can can MD 39713 5864 27 not not RB 39713 5864 28 be be VB 39713 5864 29 regarded regard VBN 39713 5864 30 as as IN 39713 5864 31 rectilineal rectilineal NN 39713 5864 32 , , , 39713 5864 33 should should MD 39713 5864 34 on on IN 39713 5864 35 the the DT 39713 5864 36 contrary contrary NN 39713 5864 37 at at IN 39713 5864 38 that that DT 39713 5864 39 epoch epoch NNP 39713 5864 40 be be VB 39713 5864 41 called call VBN 39713 5864 42 very very RB 39713 5864 43 little little JJ 39713 5864 44 , , , 39713 5864 45 since since IN 39713 5864 46 the the DT 39713 5864 47 curvature curvature NN 39713 5864 48 will will MD 39713 5864 49 have have VB 39713 5864 50 become become VBN 39713 5864 51 ten ten CD 39713 5864 52 times time NNS 39713 5864 53 less less JJR 39713 5864 54 and and CC 39713 5864 55 an an DT 39713 5864 56 arc arc NN 39713 5864 57 of of IN 39713 5864 58 this this DT 39713 5864 59 length length NN 39713 5864 60 may may MD 39713 5864 61 be be VB 39713 5864 62 sensibly sensibly RB 39713 5864 63 identified identify VBN 39713 5864 64 with with IN 39713 5864 65 a a DT 39713 5864 66 sect sect NN 39713 5864 67 . . . 39713 5865 1 Thus thus RB 39713 5865 2 the the DT 39713 5865 3 phrase phrase NN 39713 5865 4 ' ' `` 39713 5865 5 very very RB 39713 5865 6 slight slight JJ 39713 5865 7 ' ' '' 39713 5865 8 remains remain VBZ 39713 5865 9 relative relative JJ 39713 5865 10 ; ; : 39713 5865 11 but but CC 39713 5865 12 it -PRON- PRP 39713 5865 13 is be VBZ 39713 5865 14 not not RB 39713 5865 15 relative relative JJ 39713 5865 16 to to IN 39713 5865 17 such such JJ 39713 5865 18 or or CC 39713 5865 19 such such PDT 39713 5865 20 a a DT 39713 5865 21 man man NN 39713 5865 22 , , , 39713 5865 23 it -PRON- PRP 39713 5865 24 is be VBZ 39713 5865 25 relative relative JJ 39713 5865 26 to to IN 39713 5865 27 the the DT 39713 5865 28 actual actual JJ 39713 5865 29 state state NN 39713 5865 30 of of IN 39713 5865 31 the the DT 39713 5865 32 world world NN 39713 5865 33 . . . 39713 5866 1 It -PRON- PRP 39713 5866 2 will will MD 39713 5866 3 change change VB 39713 5866 4 its -PRON- PRP$ 39713 5866 5 meaning meaning NN 39713 5866 6 when when WRB 39713 5866 7 the the DT 39713 5866 8 world world NN 39713 5866 9 shall shall MD 39713 5866 10 have have VB 39713 5866 11 become become VBN 39713 5866 12 more more RBR 39713 5866 13 uniform uniform JJ 39713 5866 14 , , , 39713 5866 15 when when WRB 39713 5866 16 all all DT 39713 5866 17 things thing NNS 39713 5866 18 shall shall MD 39713 5866 19 have have VB 39713 5866 20 blended blend VBN 39713 5866 21 still still RB 39713 5866 22 more more JJR 39713 5866 23 . . . 39713 5867 1 But but CC 39713 5867 2 then then RB 39713 5867 3 doubtless doubtless JJ 39713 5867 4 men man NNS 39713 5867 5 can can MD 39713 5867 6 no no RB 39713 5867 7 longer long RBR 39713 5867 8 live live VB 39713 5867 9 and and CC 39713 5867 10 must must MD 39713 5867 11 give give VB 39713 5867 12 place place NN 39713 5867 13 to to IN 39713 5867 14 other other JJ 39713 5867 15 beings being NNS 39713 5867 16 -- -- : 39713 5867 17 should should MD 39713 5867 18 I -PRON- PRP 39713 5867 19 say say VB 39713 5867 20 far far RB 39713 5867 21 smaller smaller RBR 39713 5867 22 or or CC 39713 5867 23 far far RB 39713 5867 24 larger large JJR 39713 5867 25 ? ? . 39713 5868 1 So so RB 39713 5868 2 that that IN 39713 5868 3 our -PRON- PRP$ 39713 5868 4 criterion criterion NN 39713 5868 5 , , , 39713 5868 6 remaining remain VBG 39713 5868 7 true true JJ 39713 5868 8 for for IN 39713 5868 9 all all DT 39713 5868 10 men man NNS 39713 5868 11 , , , 39713 5868 12 retains retain VBZ 39713 5868 13 an an DT 39713 5868 14 objective objective JJ 39713 5868 15 sense sense NN 39713 5868 16 . . . 39713 5869 1 And and CC 39713 5869 2 on on IN 39713 5869 3 the the DT 39713 5869 4 other other JJ 39713 5869 5 hand hand NN 39713 5869 6 what what WP 39713 5869 7 means mean VBZ 39713 5869 8 the the DT 39713 5869 9 phrase phrase NN 39713 5869 10 ' ' `` 39713 5869 11 very very RB 39713 5869 12 complex complex JJ 39713 5869 13 ' ' '' 39713 5869 14 ? ? . 39713 5870 1 I -PRON- PRP 39713 5870 2 have have VBP 39713 5870 3 already already RB 39713 5870 4 given give VBN 39713 5870 5 one one CD 39713 5870 6 solution solution NN 39713 5870 7 , , , 39713 5870 8 but but CC 39713 5870 9 there there EX 39713 5870 10 are be VBP 39713 5870 11 others other NNS 39713 5870 12 . . . 39713 5871 1 Complex complex JJ 39713 5871 2 causes cause NNS 39713 5871 3 we -PRON- PRP 39713 5871 4 have have VBP 39713 5871 5 said say VBN 39713 5871 6 produce produce VB 39713 5871 7 a a DT 39713 5871 8 blend blend NN 39713 5871 9 more more RBR 39713 5871 10 and and CC 39713 5871 11 more more RBR 39713 5871 12 intimate intimate JJ 39713 5871 13 , , , 39713 5871 14 but but CC 39713 5871 15 after after IN 39713 5871 16 how how WRB 39713 5871 17 long long RB 39713 5871 18 a a DT 39713 5871 19 time time NN 39713 5871 20 will will MD 39713 5871 21 this this DT 39713 5871 22 blend blend NN 39713 5871 23 satisfy satisfy VB 39713 5871 24 us -PRON- PRP 39713 5871 25 ? ? . 39713 5872 1 When when WRB 39713 5872 2 will will MD 39713 5872 3 it -PRON- PRP 39713 5872 4 have have VB 39713 5872 5 accumulated accumulate VBN 39713 5872 6 sufficient sufficient JJ 39713 5872 7 complexity complexity NN 39713 5872 8 ? ? . 39713 5873 1 When when WRB 39713 5873 2 shall shall MD 39713 5873 3 we -PRON- PRP 39713 5873 4 have have VB 39713 5873 5 sufficiently sufficiently RB 39713 5873 6 shuffled shuffle VBN 39713 5873 7 the the DT 39713 5873 8 cards card NNS 39713 5873 9 ? ? . 39713 5874 1 If if IN 39713 5874 2 we -PRON- PRP 39713 5874 3 mix mix VBP 39713 5874 4 two two CD 39713 5874 5 powders powder NNS 39713 5874 6 , , , 39713 5874 7 one one CD 39713 5874 8 blue blue NN 39713 5874 9 , , , 39713 5874 10 the the DT 39713 5874 11 other other JJ 39713 5874 12 white white NN 39713 5874 13 , , , 39713 5874 14 there there EX 39713 5874 15 comes come VBZ 39713 5874 16 a a DT 39713 5874 17 moment moment NN 39713 5874 18 when when WRB 39713 5874 19 the the DT 39713 5874 20 tint tint NN 39713 5874 21 of of IN 39713 5874 22 the the DT 39713 5874 23 mixture mixture NN 39713 5874 24 seems seem VBZ 39713 5874 25 to to IN 39713 5874 26 us -PRON- PRP 39713 5874 27 uniform uniform JJ 39713 5874 28 because because IN 39713 5874 29 of of IN 39713 5874 30 the the DT 39713 5874 31 feebleness feebleness NN 39713 5874 32 of of IN 39713 5874 33 our -PRON- PRP$ 39713 5874 34 senses sense NNS 39713 5874 35 ; ; : 39713 5874 36 it -PRON- PRP 39713 5874 37 will will MD 39713 5874 38 be be VB 39713 5874 39 uniform uniform JJ 39713 5874 40 for for IN 39713 5874 41 the the DT 39713 5874 42 presbyte presbyte NN 39713 5874 43 , , , 39713 5874 44 forced force VBN 39713 5874 45 to to TO 39713 5874 46 gaze gaze VB 39713 5874 47 from from IN 39713 5874 48 afar afar RB 39713 5874 49 , , , 39713 5874 50 before before IN 39713 5874 51 it -PRON- PRP 39713 5874 52 will will MD 39713 5874 53 be be VB 39713 5874 54 so so RB 39713 5874 55 for for IN 39713 5874 56 the the DT 39713 5874 57 myope myope NN 39713 5874 58 . . . 39713 5875 1 And and CC 39713 5875 2 when when WRB 39713 5875 3 it -PRON- PRP 39713 5875 4 has have VBZ 39713 5875 5 become become VBN 39713 5875 6 uniform uniform JJ 39713 5875 7 for for IN 39713 5875 8 all all DT 39713 5875 9 eyes eye NNS 39713 5875 10 , , , 39713 5875 11 we -PRON- PRP 39713 5875 12 still still RB 39713 5875 13 could could MD 39713 5875 14 push push VB 39713 5875 15 back back RB 39713 5875 16 the the DT 39713 5875 17 limit limit NN 39713 5875 18 by by IN 39713 5875 19 the the DT 39713 5875 20 use use NN 39713 5875 21 of of IN 39713 5875 22 instruments instrument NNS 39713 5875 23 . . . 39713 5876 1 There there EX 39713 5876 2 is be VBZ 39713 5876 3 no no DT 39713 5876 4 chance chance NN 39713 5876 5 for for IN 39713 5876 6 any any DT 39713 5876 7 man man NN 39713 5876 8 ever ever RB 39713 5876 9 to to TO 39713 5876 10 discern discern VB 39713 5876 11 the the DT 39713 5876 12 infinite infinite JJ 39713 5876 13 variety variety NN 39713 5876 14 which which WDT 39713 5876 15 , , , 39713 5876 16 if if IN 39713 5876 17 the the DT 39713 5876 18 kinetic kinetic JJ 39713 5876 19 theory theory NN 39713 5876 20 is be VBZ 39713 5876 21 true true JJ 39713 5876 22 , , , 39713 5876 23 hides hide VBZ 39713 5876 24 under under IN 39713 5876 25 the the DT 39713 5876 26 uniform uniform JJ 39713 5876 27 appearance appearance NN 39713 5876 28 of of IN 39713 5876 29 a a DT 39713 5876 30 gas gas NN 39713 5876 31 . . . 39713 5877 1 And and CC 39713 5877 2 yet yet RB 39713 5877 3 if if IN 39713 5877 4 we -PRON- PRP 39713 5877 5 accept accept VBP 39713 5877 6 Gouy Gouy NNP 39713 5877 7 's 's POS 39713 5877 8 ideas idea NNS 39713 5877 9 on on IN 39713 5877 10 the the DT 39713 5877 11 Brownian brownian JJ 39713 5877 12 movement movement NN 39713 5877 13 , , , 39713 5877 14 does do VBZ 39713 5877 15 not not RB 39713 5877 16 the the DT 39713 5877 17 microscope microscope NN 39713 5877 18 seem seem VB 39713 5877 19 on on IN 39713 5877 20 the the DT 39713 5877 21 point point NN 39713 5877 22 of of IN 39713 5877 23 showing show VBG 39713 5877 24 us -PRON- PRP 39713 5877 25 something something NN 39713 5877 26 analogous analogous JJ 39713 5877 27 ? ? . 39713 5878 1 This this DT 39713 5878 2 new new JJ 39713 5878 3 criterion criterion NN 39713 5878 4 is be VBZ 39713 5878 5 therefore therefore RB 39713 5878 6 relative relative JJ 39713 5878 7 like like IN 39713 5878 8 the the DT 39713 5878 9 first first JJ 39713 5878 10 ; ; : 39713 5878 11 and and CC 39713 5878 12 if if IN 39713 5878 13 it -PRON- PRP 39713 5878 14 retains retain VBZ 39713 5878 15 an an DT 39713 5878 16 objective objective JJ 39713 5878 17 character character NN 39713 5878 18 , , , 39713 5878 19 it -PRON- PRP 39713 5878 20 is be VBZ 39713 5878 21 because because IN 39713 5878 22 all all DT 39713 5878 23 men man NNS 39713 5878 24 have have VBP 39713 5878 25 approximately approximately RB 39713 5878 26 the the DT 39713 5878 27 same same JJ 39713 5878 28 senses sense NNS 39713 5878 29 , , , 39713 5878 30 the the DT 39713 5878 31 power power NN 39713 5878 32 of of IN 39713 5878 33 their -PRON- PRP$ 39713 5878 34 instruments instrument NNS 39713 5878 35 is be VBZ 39713 5878 36 limited limited JJ 39713 5878 37 , , , 39713 5878 38 and and CC 39713 5878 39 besides besides IN 39713 5878 40 they -PRON- PRP 39713 5878 41 use use VBP 39713 5878 42 them -PRON- PRP 39713 5878 43 only only RB 39713 5878 44 exceptionally exceptionally RB 39713 5878 45 . . . 39713 5879 1 IX ix NN 39713 5879 2 It -PRON- PRP 39713 5879 3 is be VBZ 39713 5879 4 just just RB 39713 5879 5 the the DT 39713 5879 6 same same JJ 39713 5879 7 in in IN 39713 5879 8 the the DT 39713 5879 9 moral moral JJ 39713 5879 10 sciences science NNS 39713 5879 11 and and CC 39713 5879 12 particularly particularly RB 39713 5879 13 in in IN 39713 5879 14 history history NN 39713 5879 15 . . . 39713 5880 1 The the DT 39713 5880 2 historian historian NN 39713 5880 3 is be VBZ 39713 5880 4 obliged oblige VBN 39713 5880 5 to to TO 39713 5880 6 make make VB 39713 5880 7 a a DT 39713 5880 8 choice choice NN 39713 5880 9 among among IN 39713 5880 10 the the DT 39713 5880 11 events event NNS 39713 5880 12 of of IN 39713 5880 13 the the DT 39713 5880 14 epoch epoch NN 39713 5880 15 he -PRON- PRP 39713 5880 16 studies study VBZ 39713 5880 17 ; ; : 39713 5880 18 he -PRON- PRP 39713 5880 19 recounts recount VBZ 39713 5880 20 only only RB 39713 5880 21 those those DT 39713 5880 22 which which WDT 39713 5880 23 seem seem VBP 39713 5880 24 to to IN 39713 5880 25 him -PRON- PRP 39713 5880 26 the the DT 39713 5880 27 most most RBS 39713 5880 28 important important JJ 39713 5880 29 . . . 39713 5881 1 He -PRON- PRP 39713 5881 2 therefore therefore RB 39713 5881 3 contents content VBZ 39713 5881 4 himself -PRON- PRP 39713 5881 5 with with IN 39713 5881 6 relating relate VBG 39713 5881 7 the the DT 39713 5881 8 most most RBS 39713 5881 9 momentous momentous JJ 39713 5881 10 events event NNS 39713 5881 11 of of IN 39713 5881 12 the the DT 39713 5881 13 sixteenth sixteenth JJ 39713 5881 14 century century NN 39713 5881 15 , , , 39713 5881 16 for for IN 39713 5881 17 example example NN 39713 5881 18 , , , 39713 5881 19 as as RB 39713 5881 20 likewise likewise RB 39713 5881 21 the the DT 39713 5881 22 most most RBS 39713 5881 23 remarkable remarkable JJ 39713 5881 24 facts fact NNS 39713 5881 25 of of IN 39713 5881 26 the the DT 39713 5881 27 seventeenth seventeenth JJ 39713 5881 28 century century NN 39713 5881 29 . . . 39713 5882 1 If if IN 39713 5882 2 the the DT 39713 5882 3 first first JJ 39713 5882 4 suffice suffice NN 39713 5882 5 to to TO 39713 5882 6 explain explain VB 39713 5882 7 the the DT 39713 5882 8 second second JJ 39713 5882 9 , , , 39713 5882 10 we -PRON- PRP 39713 5882 11 say say VBP 39713 5882 12 these these DT 39713 5882 13 conform conform VBP 39713 5882 14 to to IN 39713 5882 15 the the DT 39713 5882 16 laws law NNS 39713 5882 17 of of IN 39713 5882 18 history history NN 39713 5882 19 . . . 39713 5883 1 But but CC 39713 5883 2 if if IN 39713 5883 3 a a DT 39713 5883 4 great great JJ 39713 5883 5 event event NN 39713 5883 6 of of IN 39713 5883 7 the the DT 39713 5883 8 seventeenth seventeenth JJ 39713 5883 9 century century NN 39713 5883 10 should should MD 39713 5883 11 have have VB 39713 5883 12 for for IN 39713 5883 13 cause cause VB 39713 5883 14 a a DT 39713 5883 15 small small JJ 39713 5883 16 fact fact NN 39713 5883 17 of of IN 39713 5883 18 the the DT 39713 5883 19 sixteenth sixteenth JJ 39713 5883 20 century century NN 39713 5883 21 which which WDT 39713 5883 22 no no DT 39713 5883 23 history history NN 39713 5883 24 reports report VBZ 39713 5883 25 , , , 39713 5883 26 which which WDT 39713 5883 27 all all PDT 39713 5883 28 the the DT 39713 5883 29 world world NN 39713 5883 30 has have VBZ 39713 5883 31 neglected neglect VBN 39713 5883 32 , , , 39713 5883 33 then then RB 39713 5883 34 we -PRON- PRP 39713 5883 35 say say VBP 39713 5883 36 this this DT 39713 5883 37 event event NN 39713 5883 38 is be VBZ 39713 5883 39 due due JJ 39713 5883 40 to to IN 39713 5883 41 chance chance NN 39713 5883 42 . . . 39713 5884 1 This this DT 39713 5884 2 word word NN 39713 5884 3 has have VBZ 39713 5884 4 therefore therefore RB 39713 5884 5 the the DT 39713 5884 6 same same JJ 39713 5884 7 sense sense NN 39713 5884 8 as as IN 39713 5884 9 in in IN 39713 5884 10 the the DT 39713 5884 11 physical physical JJ 39713 5884 12 sciences science NNS 39713 5884 13 ; ; : 39713 5884 14 it -PRON- PRP 39713 5884 15 means mean VBZ 39713 5884 16 that that IN 39713 5884 17 slight slight JJ 39713 5884 18 causes cause NNS 39713 5884 19 have have VBP 39713 5884 20 produced produce VBN 39713 5884 21 great great JJ 39713 5884 22 effects effect NNS 39713 5884 23 . . . 39713 5885 1 The the DT 39713 5885 2 greatest great JJS 39713 5885 3 bit bit NN 39713 5885 4 of of IN 39713 5885 5 chance chance NN 39713 5885 6 is be VBZ 39713 5885 7 the the DT 39713 5885 8 birth birth NN 39713 5885 9 of of IN 39713 5885 10 a a DT 39713 5885 11 great great JJ 39713 5885 12 man man NN 39713 5885 13 . . . 39713 5886 1 It -PRON- PRP 39713 5886 2 is be VBZ 39713 5886 3 only only RB 39713 5886 4 by by IN 39713 5886 5 chance chance NN 39713 5886 6 that that IN 39713 5886 7 meeting meeting NN 39713 5886 8 of of IN 39713 5886 9 two two CD 39713 5886 10 germinal germinal JJ 39713 5886 11 cells cell NNS 39713 5886 12 , , , 39713 5886 13 of of IN 39713 5886 14 different different JJ 39713 5886 15 sex sex NN 39713 5886 16 , , , 39713 5886 17 containing contain VBG 39713 5886 18 precisely precisely RB 39713 5886 19 , , , 39713 5886 20 each each DT 39713 5886 21 on on IN 39713 5886 22 its -PRON- PRP$ 39713 5886 23 side side NN 39713 5886 24 , , , 39713 5886 25 the the DT 39713 5886 26 mysterious mysterious JJ 39713 5886 27 elements element NNS 39713 5886 28 whose whose WP$ 39713 5886 29 mutual mutual JJ 39713 5886 30 reaction reaction NN 39713 5886 31 must must MD 39713 5886 32 produce produce VB 39713 5886 33 the the DT 39713 5886 34 genius genius NN 39713 5886 35 . . . 39713 5887 1 One one CD 39713 5887 2 will will MD 39713 5887 3 agree agree VB 39713 5887 4 that that IN 39713 5887 5 these these DT 39713 5887 6 elements element NNS 39713 5887 7 must must MD 39713 5887 8 be be VB 39713 5887 9 rare rare JJ 39713 5887 10 and and CC 39713 5887 11 that that IN 39713 5887 12 their -PRON- PRP$ 39713 5887 13 meeting meeting NN 39713 5887 14 is be VBZ 39713 5887 15 still still RB 39713 5887 16 more more RBR 39713 5887 17 rare rare JJ 39713 5887 18 . . . 39713 5888 1 How how WRB 39713 5888 2 slight slight JJ 39713 5888 3 a a DT 39713 5888 4 thing thing NN 39713 5888 5 it -PRON- PRP 39713 5888 6 would would MD 39713 5888 7 have have VB 39713 5888 8 required require VBN 39713 5888 9 to to TO 39713 5888 10 deflect deflect VB 39713 5888 11 from from IN 39713 5888 12 its -PRON- PRP$ 39713 5888 13 route route NN 39713 5888 14 the the DT 39713 5888 15 carrying carry VBG 39713 5888 16 spermatozoon spermatozoon NN 39713 5888 17 . . . 39713 5889 1 It -PRON- PRP 39713 5889 2 would would MD 39713 5889 3 have have VB 39713 5889 4 sufficed suffice VBN 39713 5889 5 to to TO 39713 5889 6 deflect deflect VB 39713 5889 7 it -PRON- PRP 39713 5889 8 a a DT 39713 5889 9 tenth tenth NN 39713 5889 10 of of IN 39713 5889 11 a a DT 39713 5889 12 millimeter millimeter NN 39713 5889 13 and and CC 39713 5889 14 Napoleon Napoleon NNP 39713 5889 15 would would MD 39713 5889 16 not not RB 39713 5889 17 have have VB 39713 5889 18 been be VBN 39713 5889 19 born bear VBN 39713 5889 20 and and CC 39713 5889 21 the the DT 39713 5889 22 destinies destiny NNS 39713 5889 23 of of IN 39713 5889 24 a a DT 39713 5889 25 continent continent NN 39713 5889 26 would would MD 39713 5889 27 have have VB 39713 5889 28 been be VBN 39713 5889 29 changed change VBN 39713 5889 30 . . . 39713 5890 1 No no DT 39713 5890 2 example example NN 39713 5890 3 can can MD 39713 5890 4 better well RBR 39713 5890 5 make make VB 39713 5890 6 us -PRON- PRP 39713 5890 7 understand understand VB 39713 5890 8 the the DT 39713 5890 9 veritable veritable JJ 39713 5890 10 characteristics characteristic NNS 39713 5890 11 of of IN 39713 5890 12 chance chance NN 39713 5890 13 . . . 39713 5891 1 One one CD 39713 5891 2 more more JJR 39713 5891 3 word word NN 39713 5891 4 about about IN 39713 5891 5 the the DT 39713 5891 6 paradoxes paradox NNS 39713 5891 7 brought bring VBN 39713 5891 8 out out RP 39713 5891 9 by by IN 39713 5891 10 the the DT 39713 5891 11 application application NN 39713 5891 12 of of IN 39713 5891 13 the the DT 39713 5891 14 calculus calculus NN 39713 5891 15 of of IN 39713 5891 16 probabilities probability NNS 39713 5891 17 to to IN 39713 5891 18 the the DT 39713 5891 19 moral moral JJ 39713 5891 20 sciences science NNS 39713 5891 21 . . . 39713 5892 1 It -PRON- PRP 39713 5892 2 has have VBZ 39713 5892 3 been be VBN 39713 5892 4 proven prove VBN 39713 5892 5 that that IN 39713 5892 6 no no DT 39713 5892 7 Chamber Chamber NNP 39713 5892 8 of of IN 39713 5892 9 Deputies Deputies NNPS 39713 5892 10 will will MD 39713 5892 11 ever ever RB 39713 5892 12 fail fail VB 39713 5892 13 to to TO 39713 5892 14 contain contain VB 39713 5892 15 a a DT 39713 5892 16 member member NN 39713 5892 17 of of IN 39713 5892 18 the the DT 39713 5892 19 opposition opposition NN 39713 5892 20 , , , 39713 5892 21 or or CC 39713 5892 22 at at IN 39713 5892 23 least least JJS 39713 5892 24 such such PDT 39713 5892 25 an an DT 39713 5892 26 event event NN 39713 5892 27 would would MD 39713 5892 28 be be VB 39713 5892 29 so so RB 39713 5892 30 improbable improbable JJ 39713 5892 31 that that IN 39713 5892 32 we -PRON- PRP 39713 5892 33 might may MD 39713 5892 34 without without IN 39713 5892 35 fear fear NN 39713 5892 36 wager wager NN 39713 5892 37 the the DT 39713 5892 38 contrary contrary NN 39713 5892 39 , , , 39713 5892 40 and and CC 39713 5892 41 bet bet VB 39713 5892 42 a a DT 39713 5892 43 million million CD 39713 5892 44 against against IN 39713 5892 45 a a DT 39713 5892 46 sou sou NN 39713 5892 47 . . . 39713 5893 1 Condorcet Condorcet NNP 39713 5893 2 has have VBZ 39713 5893 3 striven strive VBN 39713 5893 4 to to TO 39713 5893 5 calculate calculate VB 39713 5893 6 how how WRB 39713 5893 7 many many JJ 39713 5893 8 jurors juror NNS 39713 5893 9 it -PRON- PRP 39713 5893 10 would would MD 39713 5893 11 require require VB 39713 5893 12 to to TO 39713 5893 13 make make VB 39713 5893 14 a a DT 39713 5893 15 judicial judicial JJ 39713 5893 16 error error NN 39713 5893 17 practically practically RB 39713 5893 18 impossible impossible JJ 39713 5893 19 . . . 39713 5894 1 If if IN 39713 5894 2 we -PRON- PRP 39713 5894 3 had have VBD 39713 5894 4 used use VBN 39713 5894 5 the the DT 39713 5894 6 results result NNS 39713 5894 7 of of IN 39713 5894 8 this this DT 39713 5894 9 calculation calculation NN 39713 5894 10 , , , 39713 5894 11 we -PRON- PRP 39713 5894 12 should should MD 39713 5894 13 certainly certainly RB 39713 5894 14 have have VB 39713 5894 15 been be VBN 39713 5894 16 exposed expose VBN 39713 5894 17 to to IN 39713 5894 18 the the DT 39713 5894 19 same same JJ 39713 5894 20 disappointments disappointment NNS 39713 5894 21 as as IN 39713 5894 22 in in IN 39713 5894 23 betting betting NN 39713 5894 24 , , , 39713 5894 25 on on IN 39713 5894 26 the the DT 39713 5894 27 faith faith NN 39713 5894 28 of of IN 39713 5894 29 the the DT 39713 5894 30 calculus calculus NN 39713 5894 31 , , , 39713 5894 32 that that IN 39713 5894 33 the the DT 39713 5894 34 opposition opposition NN 39713 5894 35 would would MD 39713 5894 36 never never RB 39713 5894 37 be be VB 39713 5894 38 without without IN 39713 5894 39 a a DT 39713 5894 40 representative representative NN 39713 5894 41 . . . 39713 5895 1 The the DT 39713 5895 2 laws law NNS 39713 5895 3 of of IN 39713 5895 4 chance chance NN 39713 5895 5 do do VBP 39713 5895 6 not not RB 39713 5895 7 apply apply VB 39713 5895 8 to to IN 39713 5895 9 these these DT 39713 5895 10 questions question NNS 39713 5895 11 . . . 39713 5896 1 If if IN 39713 5896 2 justice justice NN 39713 5896 3 be be VBP 39713 5896 4 not not RB 39713 5896 5 always always RB 39713 5896 6 meted mete VBN 39713 5896 7 out out RP 39713 5896 8 to to TO 39713 5896 9 accord accord VB 39713 5896 10 with with IN 39713 5896 11 the the DT 39713 5896 12 best good JJS 39713 5896 13 reasons reason NNS 39713 5896 14 , , , 39713 5896 15 it -PRON- PRP 39713 5896 16 uses use VBZ 39713 5896 17 less less JJR 39713 5896 18 than than IN 39713 5896 19 we -PRON- PRP 39713 5896 20 think think VBP 39713 5896 21 the the DT 39713 5896 22 method method NN 39713 5896 23 of of IN 39713 5896 24 Bridoye Bridoye NNP 39713 5896 25 . . . 39713 5897 1 This this DT 39713 5897 2 is be VBZ 39713 5897 3 perhaps perhaps RB 39713 5897 4 to to TO 39713 5897 5 be be VB 39713 5897 6 regretted regret VBN 39713 5897 7 , , , 39713 5897 8 for for IN 39713 5897 9 then then RB 39713 5897 10 the the DT 39713 5897 11 system system NN 39713 5897 12 of of IN 39713 5897 13 Condorcet Condorcet NNP 39713 5897 14 would would MD 39713 5897 15 shield shield VB 39713 5897 16 us -PRON- PRP 39713 5897 17 from from IN 39713 5897 18 judicial judicial JJ 39713 5897 19 errors error NNS 39713 5897 20 . . . 39713 5898 1 What what WP 39713 5898 2 is be VBZ 39713 5898 3 the the DT 39713 5898 4 meaning meaning NN 39713 5898 5 of of IN 39713 5898 6 this this DT 39713 5898 7 ? ? . 39713 5899 1 We -PRON- PRP 39713 5899 2 are be VBP 39713 5899 3 tempted tempt VBN 39713 5899 4 to to TO 39713 5899 5 attribute attribute VB 39713 5899 6 facts fact NNS 39713 5899 7 of of IN 39713 5899 8 this this DT 39713 5899 9 nature nature NN 39713 5899 10 to to TO 39713 5899 11 chance chance VB 39713 5899 12 because because IN 39713 5899 13 their -PRON- PRP$ 39713 5899 14 causes cause NNS 39713 5899 15 are be VBP 39713 5899 16 obscure obscure JJ 39713 5899 17 ; ; : 39713 5899 18 but but CC 39713 5899 19 this this DT 39713 5899 20 is be VBZ 39713 5899 21 not not RB 39713 5899 22 true true JJ 39713 5899 23 chance chance NN 39713 5899 24 . . . 39713 5900 1 The the DT 39713 5900 2 causes cause NNS 39713 5900 3 are be VBP 39713 5900 4 unknown unknown JJ 39713 5900 5 to to IN 39713 5900 6 us -PRON- PRP 39713 5900 7 , , , 39713 5900 8 it -PRON- PRP 39713 5900 9 is be VBZ 39713 5900 10 true true JJ 39713 5900 11 , , , 39713 5900 12 and and CC 39713 5900 13 they -PRON- PRP 39713 5900 14 are be VBP 39713 5900 15 even even RB 39713 5900 16 complex complex JJ 39713 5900 17 ; ; : 39713 5900 18 but but CC 39713 5900 19 they -PRON- PRP 39713 5900 20 are be VBP 39713 5900 21 not not RB 39713 5900 22 sufficiently sufficiently RB 39713 5900 23 so so RB 39713 5900 24 , , , 39713 5900 25 since since IN 39713 5900 26 they -PRON- PRP 39713 5900 27 conserve conserve VBP 39713 5900 28 something something NN 39713 5900 29 . . . 39713 5901 1 We -PRON- PRP 39713 5901 2 have have VBP 39713 5901 3 seen see VBN 39713 5901 4 that that IN 39713 5901 5 this this DT 39713 5901 6 it -PRON- PRP 39713 5901 7 is be VBZ 39713 5901 8 which which WDT 39713 5901 9 distinguishes distinguish VBZ 39713 5901 10 causes cause VBZ 39713 5901 11 ' ' `` 39713 5901 12 too too RB 39713 5901 13 simple simple JJ 39713 5901 14 . . . 39713 5901 15 ' ' '' 39713 5902 1 When when WRB 39713 5902 2 men man NNS 39713 5902 3 are be VBP 39713 5902 4 brought bring VBN 39713 5902 5 together together RB 39713 5902 6 they -PRON- PRP 39713 5902 7 no no RB 39713 5902 8 longer long RBR 39713 5902 9 decide decide VBP 39713 5902 10 at at IN 39713 5902 11 random random JJ 39713 5902 12 and and CC 39713 5902 13 independently independently RB 39713 5902 14 one one CD 39713 5902 15 of of IN 39713 5902 16 another another DT 39713 5902 17 ; ; : 39713 5902 18 they -PRON- PRP 39713 5902 19 influence influence VBP 39713 5902 20 one one NN 39713 5902 21 another another DT 39713 5902 22 . . . 39713 5903 1 Multiplex Multiplex NNP 39713 5903 2 causes cause NNS 39713 5903 3 come come VBN 39713 5903 4 into into IN 39713 5903 5 action action NN 39713 5903 6 . . . 39713 5904 1 They -PRON- PRP 39713 5904 2 worry worry VBP 39713 5904 3 men man NNS 39713 5904 4 , , , 39713 5904 5 dragging drag VBG 39713 5904 6 them -PRON- PRP 39713 5904 7 to to IN 39713 5904 8 right right NN 39713 5904 9 or or CC 39713 5904 10 left leave VBD 39713 5904 11 , , , 39713 5904 12 but but CC 39713 5904 13 one one CD 39713 5904 14 thing thing NN 39713 5904 15 there there EX 39713 5904 16 is be VBZ 39713 5904 17 they -PRON- PRP 39713 5904 18 can can MD 39713 5904 19 not not RB 39713 5904 20 destroy destroy VB 39713 5904 21 , , , 39713 5904 22 this this DT 39713 5904 23 is be VBZ 39713 5904 24 their -PRON- PRP$ 39713 5904 25 Panurge Panurge NNP 39713 5904 26 flock flock NN 39713 5904 27 - - HYPH 39713 5904 28 of of IN 39713 5904 29 - - HYPH 39713 5904 30 sheep sheep NN 39713 5904 31 habits habit NNS 39713 5904 32 . . . 39713 5905 1 And and CC 39713 5905 2 this this DT 39713 5905 3 is be VBZ 39713 5905 4 an an DT 39713 5905 5 invariant invariant NN 39713 5905 6 . . . 39713 5906 1 X x NN 39713 5906 2 Difficulties difficulty NNS 39713 5906 3 are be VBP 39713 5906 4 indeed indeed RB 39713 5906 5 involved involve VBN 39713 5906 6 in in IN 39713 5906 7 the the DT 39713 5906 8 application application NN 39713 5906 9 of of IN 39713 5906 10 the the DT 39713 5906 11 calculus calculus NN 39713 5906 12 of of IN 39713 5906 13 probabilities probability NNS 39713 5906 14 to to IN 39713 5906 15 the the DT 39713 5906 16 exact exact JJ 39713 5906 17 sciences science NNS 39713 5906 18 . . . 39713 5907 1 Why why WRB 39713 5907 2 are be VBP 39713 5907 3 the the DT 39713 5907 4 decimals decimal NNS 39713 5907 5 of of IN 39713 5907 6 a a DT 39713 5907 7 table table NN 39713 5907 8 of of IN 39713 5907 9 logarithms logarithm NNS 39713 5907 10 , , , 39713 5907 11 why why WRB 39713 5907 12 are be VBP 39713 5907 13 those those DT 39713 5907 14 of of IN 39713 5907 15 the the DT 39713 5907 16 number number NN 39713 5907 17 [ [ -LRB- 39713 5907 18 pi pi NN 39713 5907 19 ] ] -RRB- 39713 5907 20 distributed distribute VBN 39713 5907 21 in in IN 39713 5907 22 accordance accordance NN 39713 5907 23 with with IN 39713 5907 24 the the DT 39713 5907 25 laws law NNS 39713 5907 26 of of IN 39713 5907 27 chance chance NN 39713 5907 28 ? ? . 39713 5908 1 Elsewhere elsewhere RB 39713 5908 2 I -PRON- PRP 39713 5908 3 have have VBP 39713 5908 4 already already RB 39713 5908 5 studied study VBN 39713 5908 6 the the DT 39713 5908 7 question question NN 39713 5908 8 in in IN 39713 5908 9 so so RB 39713 5908 10 far far RB 39713 5908 11 as as IN 39713 5908 12 it -PRON- PRP 39713 5908 13 concerns concern VBZ 39713 5908 14 logarithms logarithm NNS 39713 5908 15 , , , 39713 5908 16 and and CC 39713 5908 17 there there RB 39713 5908 18 it -PRON- PRP 39713 5908 19 is be VBZ 39713 5908 20 easy easy JJ 39713 5908 21 . . . 39713 5909 1 It -PRON- PRP 39713 5909 2 is be VBZ 39713 5909 3 clear clear JJ 39713 5909 4 that that IN 39713 5909 5 a a DT 39713 5909 6 slight slight JJ 39713 5909 7 difference difference NN 39713 5909 8 of of IN 39713 5909 9 argument argument NN 39713 5909 10 will will MD 39713 5909 11 give give VB 39713 5909 12 a a DT 39713 5909 13 slight slight JJ 39713 5909 14 difference difference NN 39713 5909 15 of of IN 39713 5909 16 logarithm logarithm NNP 39713 5909 17 , , , 39713 5909 18 but but CC 39713 5909 19 a a DT 39713 5909 20 great great JJ 39713 5909 21 difference difference NN 39713 5909 22 in in IN 39713 5909 23 the the DT 39713 5909 24 sixth sixth JJ 39713 5909 25 decimal decimal NN 39713 5909 26 of of IN 39713 5909 27 the the DT 39713 5909 28 logarithm logarithm NNP 39713 5909 29 . . . 39713 5910 1 Always always RB 39713 5910 2 we -PRON- PRP 39713 5910 3 find find VBP 39713 5910 4 again again RB 39713 5910 5 the the DT 39713 5910 6 same same JJ 39713 5910 7 criterion criterion NN 39713 5910 8 . . . 39713 5911 1 But but CC 39713 5911 2 as as IN 39713 5911 3 for for IN 39713 5911 4 the the DT 39713 5911 5 number number NN 39713 5911 6 [ [ -LRB- 39713 5911 7 pi pi NN 39713 5911 8 ] ] -RRB- 39713 5911 9 , , , 39713 5911 10 that that WDT 39713 5911 11 presents present VBZ 39713 5911 12 more more JJR 39713 5911 13 difficulties difficulty NNS 39713 5911 14 , , , 39713 5911 15 and and CC 39713 5911 16 I -PRON- PRP 39713 5911 17 have have VBP 39713 5911 18 at at IN 39713 5911 19 the the DT 39713 5911 20 moment moment NN 39713 5911 21 nothing nothing NN 39713 5911 22 worth worth JJ 39713 5911 23 while while IN 39713 5911 24 to to TO 39713 5911 25 say say VB 39713 5911 26 . . . 39713 5912 1 There there EX 39713 5912 2 would would MD 39713 5912 3 be be VB 39713 5912 4 many many JJ 39713 5912 5 other other JJ 39713 5912 6 questions question NNS 39713 5912 7 to to TO 39713 5912 8 resolve resolve VB 39713 5912 9 , , , 39713 5912 10 had have VBD 39713 5912 11 I -PRON- PRP 39713 5912 12 wished wish VBD 39713 5912 13 to to TO 39713 5912 14 attack attack VB 39713 5912 15 them -PRON- PRP 39713 5912 16 before before IN 39713 5912 17 solving solve VBG 39713 5912 18 that that IN 39713 5912 19 which which WDT 39713 5912 20 I -PRON- PRP 39713 5912 21 more more RBR 39713 5912 22 specially specially RB 39713 5912 23 set set VBD 39713 5912 24 myself -PRON- PRP 39713 5912 25 . . . 39713 5913 1 When when WRB 39713 5913 2 we -PRON- PRP 39713 5913 3 reach reach VBP 39713 5913 4 a a DT 39713 5913 5 simple simple JJ 39713 5913 6 result result NN 39713 5913 7 , , , 39713 5913 8 when when WRB 39713 5913 9 we -PRON- PRP 39713 5913 10 find find VBP 39713 5913 11 for for IN 39713 5913 12 example example NN 39713 5913 13 a a DT 39713 5913 14 round round JJ 39713 5913 15 number number NN 39713 5913 16 , , , 39713 5913 17 we -PRON- PRP 39713 5913 18 say say VBP 39713 5913 19 that that IN 39713 5913 20 such such PDT 39713 5913 21 a a DT 39713 5913 22 result result NN 39713 5913 23 can can MD 39713 5913 24 not not RB 39713 5913 25 be be VB 39713 5913 26 due due IN 39713 5913 27 to to IN 39713 5913 28 chance chance NN 39713 5913 29 , , , 39713 5913 30 and and CC 39713 5913 31 we -PRON- PRP 39713 5913 32 seek seek VBP 39713 5913 33 , , , 39713 5913 34 for for IN 39713 5913 35 its -PRON- PRP$ 39713 5913 36 explanation explanation NN 39713 5913 37 , , , 39713 5913 38 a a DT 39713 5913 39 non non JJ 39713 5913 40 - - JJ 39713 5913 41 fortuitous fortuitous JJ 39713 5913 42 cause cause NN 39713 5913 43 . . . 39713 5914 1 And and CC 39713 5914 2 in in IN 39713 5914 3 fact fact NN 39713 5914 4 there there EX 39713 5914 5 is be VBZ 39713 5914 6 only only RB 39713 5914 7 a a DT 39713 5914 8 very very RB 39713 5914 9 slight slight JJ 39713 5914 10 probability probability NN 39713 5914 11 that that IN 39713 5914 12 among among IN 39713 5914 13 10,000 10,000 CD 39713 5914 14 numbers number NNS 39713 5914 15 chance chance NN 39713 5914 16 will will MD 39713 5914 17 give give VB 39713 5914 18 a a DT 39713 5914 19 round round JJ 39713 5914 20 number number NN 39713 5914 21 ; ; : 39713 5914 22 for for IN 39713 5914 23 example example NN 39713 5914 24 , , , 39713 5914 25 the the DT 39713 5914 26 number number NN 39713 5914 27 10,000 10,000 CD 39713 5914 28 . . . 39713 5915 1 This this DT 39713 5915 2 has have VBZ 39713 5915 3 only only RB 39713 5915 4 one one CD 39713 5915 5 chance chance NN 39713 5915 6 in in IN 39713 5915 7 10,000 10,000 CD 39713 5915 8 . . . 39713 5916 1 But but CC 39713 5916 2 there there EX 39713 5916 3 is be VBZ 39713 5916 4 only only RB 39713 5916 5 one one CD 39713 5916 6 chance chance NN 39713 5916 7 in in IN 39713 5916 8 10,000 10,000 CD 39713 5916 9 for for IN 39713 5916 10 the the DT 39713 5916 11 occurrence occurrence NN 39713 5916 12 of of IN 39713 5916 13 any any DT 39713 5916 14 other other JJ 39713 5916 15 one one CD 39713 5916 16 number number NN 39713 5916 17 ; ; : 39713 5916 18 and and CC 39713 5916 19 yet yet RB 39713 5916 20 this this DT 39713 5916 21 result result NN 39713 5916 22 will will MD 39713 5916 23 not not RB 39713 5916 24 astonish astonish VB 39713 5916 25 us -PRON- PRP 39713 5916 26 , , , 39713 5916 27 nor nor CC 39713 5916 28 will will MD 39713 5916 29 it -PRON- PRP 39713 5916 30 be be VB 39713 5916 31 hard hard JJ 39713 5916 32 for for IN 39713 5916 33 us -PRON- PRP 39713 5916 34 to to TO 39713 5916 35 attribute attribute VB 39713 5916 36 it -PRON- PRP 39713 5916 37 to to TO 39713 5916 38 chance chance NN 39713 5916 39 ; ; : 39713 5916 40 and and CC 39713 5916 41 that that DT 39713 5916 42 simply simply RB 39713 5916 43 because because IN 39713 5916 44 it -PRON- PRP 39713 5916 45 will will MD 39713 5916 46 be be VB 39713 5916 47 less less RBR 39713 5916 48 striking striking JJ 39713 5916 49 . . . 39713 5917 1 Is be VBZ 39713 5917 2 this this DT 39713 5917 3 a a DT 39713 5917 4 simple simple JJ 39713 5917 5 illusion illusion NN 39713 5917 6 of of IN 39713 5917 7 ours -PRON- PRP 39713 5917 8 , , , 39713 5917 9 or or CC 39713 5917 10 are be VBP 39713 5917 11 there there EX 39713 5917 12 cases case NNS 39713 5917 13 where where WRB 39713 5917 14 this this DT 39713 5917 15 way way NN 39713 5917 16 of of IN 39713 5917 17 thinking thinking NN 39713 5917 18 is be VBZ 39713 5917 19 legitimate legitimate JJ 39713 5917 20 ? ? . 39713 5918 1 We -PRON- PRP 39713 5918 2 must must MD 39713 5918 3 hope hope VB 39713 5918 4 so so RB 39713 5918 5 , , , 39713 5918 6 else else RB 39713 5918 7 were be VBD 39713 5918 8 all all DT 39713 5918 9 science science NN 39713 5918 10 impossible impossible JJ 39713 5918 11 . . . 39713 5919 1 When when WRB 39713 5919 2 we -PRON- PRP 39713 5919 3 wish wish VBP 39713 5919 4 to to TO 39713 5919 5 check check VB 39713 5919 6 a a DT 39713 5919 7 hypothesis hypothesis NN 39713 5919 8 , , , 39713 5919 9 what what WP 39713 5919 10 do do VBP 39713 5919 11 we -PRON- PRP 39713 5919 12 do do VB 39713 5919 13 ? ? . 39713 5920 1 We -PRON- PRP 39713 5920 2 can can MD 39713 5920 3 not not RB 39713 5920 4 verify verify VB 39713 5920 5 all all PDT 39713 5920 6 its -PRON- PRP$ 39713 5920 7 consequences consequence NNS 39713 5920 8 , , , 39713 5920 9 since since IN 39713 5920 10 they -PRON- PRP 39713 5920 11 would would MD 39713 5920 12 be be VB 39713 5920 13 infinite infinite JJ 39713 5920 14 in in IN 39713 5920 15 number number NN 39713 5920 16 ; ; : 39713 5920 17 we -PRON- PRP 39713 5920 18 content content VBP 39713 5920 19 ourselves -PRON- PRP 39713 5920 20 with with IN 39713 5920 21 verifying verify VBG 39713 5920 22 certain certain JJ 39713 5920 23 ones one NNS 39713 5920 24 and and CC 39713 5920 25 if if IN 39713 5920 26 we -PRON- PRP 39713 5920 27 succeed succeed VBP 39713 5920 28 we -PRON- PRP 39713 5920 29 declare declare VBP 39713 5920 30 the the DT 39713 5920 31 hypothesis hypothesis NN 39713 5920 32 confirmed confirm VBD 39713 5920 33 , , , 39713 5920 34 because because IN 39713 5920 35 so so RB 39713 5920 36 much much JJ 39713 5920 37 success success NN 39713 5920 38 could could MD 39713 5920 39 not not RB 39713 5920 40 be be VB 39713 5920 41 due due IN 39713 5920 42 to to IN 39713 5920 43 chance chance NN 39713 5920 44 . . . 39713 5921 1 And and CC 39713 5921 2 this this DT 39713 5921 3 is be VBZ 39713 5921 4 always always RB 39713 5921 5 at at IN 39713 5921 6 bottom bottom NN 39713 5921 7 the the DT 39713 5921 8 same same JJ 39713 5921 9 reasoning reasoning NN 39713 5921 10 . . . 39713 5922 1 I -PRON- PRP 39713 5922 2 can can MD 39713 5922 3 not not RB 39713 5922 4 completely completely RB 39713 5922 5 justify justify VB 39713 5922 6 it -PRON- PRP 39713 5922 7 here here RB 39713 5922 8 , , , 39713 5922 9 since since IN 39713 5922 10 it -PRON- PRP 39713 5922 11 would would MD 39713 5922 12 take take VB 39713 5922 13 too too RB 39713 5922 14 much much JJ 39713 5922 15 time time NN 39713 5922 16 ; ; : 39713 5922 17 but but CC 39713 5922 18 I -PRON- PRP 39713 5922 19 may may MD 39713 5922 20 at at IN 39713 5922 21 least least JJS 39713 5922 22 say say VB 39713 5922 23 that that IN 39713 5922 24 we -PRON- PRP 39713 5922 25 find find VBP 39713 5922 26 ourselves -PRON- PRP 39713 5922 27 confronted confront VBN 39713 5922 28 by by IN 39713 5922 29 two two CD 39713 5922 30 hypotheses hypothesis NNS 39713 5922 31 , , , 39713 5922 32 either either CC 39713 5922 33 a a DT 39713 5922 34 simple simple JJ 39713 5922 35 cause cause NN 39713 5922 36 or or CC 39713 5922 37 that that DT 39713 5922 38 aggregate aggregate NN 39713 5922 39 of of IN 39713 5922 40 complex complex JJ 39713 5922 41 causes cause NNS 39713 5922 42 we -PRON- PRP 39713 5922 43 call call VBP 39713 5922 44 chance chance NN 39713 5922 45 . . . 39713 5923 1 We -PRON- PRP 39713 5923 2 find find VBP 39713 5923 3 it -PRON- PRP 39713 5923 4 natural natural JJ 39713 5923 5 to to TO 39713 5923 6 suppose suppose VB 39713 5923 7 that that IN 39713 5923 8 the the DT 39713 5923 9 first first JJ 39713 5923 10 should should MD 39713 5923 11 produce produce VB 39713 5923 12 a a DT 39713 5923 13 simple simple JJ 39713 5923 14 result result NN 39713 5923 15 , , , 39713 5923 16 and and CC 39713 5923 17 then then RB 39713 5923 18 , , , 39713 5923 19 if if IN 39713 5923 20 we -PRON- PRP 39713 5923 21 find find VBP 39713 5923 22 that that IN 39713 5923 23 simple simple JJ 39713 5923 24 result result NN 39713 5923 25 , , , 39713 5923 26 the the DT 39713 5923 27 round round JJ 39713 5923 28 number number NN 39713 5923 29 for for IN 39713 5923 30 example example NN 39713 5923 31 , , , 39713 5923 32 it -PRON- PRP 39713 5923 33 seems seem VBZ 39713 5923 34 more more RBR 39713 5923 35 likely likely JJ 39713 5923 36 to to IN 39713 5923 37 us -PRON- PRP 39713 5923 38 to to TO 39713 5923 39 be be VB 39713 5923 40 attributable attributable JJ 39713 5923 41 to to IN 39713 5923 42 the the DT 39713 5923 43 simple simple JJ 39713 5923 44 cause cause NN 39713 5923 45 which which WDT 39713 5923 46 must must MD 39713 5923 47 give give VB 39713 5923 48 it -PRON- PRP 39713 5923 49 almost almost RB 39713 5923 50 certainly certainly RB 39713 5923 51 , , , 39713 5923 52 than than IN 39713 5923 53 to to TO 39713 5923 54 chance chance NN 39713 5923 55 which which WDT 39713 5923 56 could could MD 39713 5923 57 only only RB 39713 5923 58 give give VB 39713 5923 59 it -PRON- PRP 39713 5923 60 once once RB 39713 5923 61 in in IN 39713 5923 62 10,000 10,000 CD 39713 5923 63 times time NNS 39713 5923 64 . . . 39713 5924 1 It -PRON- PRP 39713 5924 2 will will MD 39713 5924 3 not not RB 39713 5924 4 be be VB 39713 5924 5 the the DT 39713 5924 6 same same JJ 39713 5924 7 if if IN 39713 5924 8 we -PRON- PRP 39713 5924 9 find find VBP 39713 5924 10 a a DT 39713 5924 11 result result NN 39713 5924 12 which which WDT 39713 5924 13 is be VBZ 39713 5924 14 not not RB 39713 5924 15 simple simple JJ 39713 5924 16 ; ; : 39713 5924 17 chance chance NN 39713 5924 18 , , , 39713 5924 19 it -PRON- PRP 39713 5924 20 is be VBZ 39713 5924 21 true true JJ 39713 5924 22 , , , 39713 5924 23 will will MD 39713 5924 24 not not RB 39713 5924 25 give give VB 39713 5924 26 this this DT 39713 5924 27 more more JJR 39713 5924 28 than than IN 39713 5924 29 once once RB 39713 5924 30 in in IN 39713 5924 31 10,000 10,000 CD 39713 5924 32 times time NNS 39713 5924 33 ; ; : 39713 5924 34 but but CC 39713 5924 35 neither neither DT 39713 5924 36 has have VBZ 39713 5924 37 the the DT 39713 5924 38 simple simple JJ 39713 5924 39 cause cause VB 39713 5924 40 any any DT 39713 5924 41 more more JJR 39713 5924 42 chance chance NN 39713 5924 43 of of IN 39713 5924 44 producing produce VBG 39713 5924 45 it -PRON- PRP 39713 5924 46 . . . 39713 5925 1 BOOK BOOK NNP 39713 5925 2 II II NNP 39713 5925 3 MATHEMATICAL MATHEMATICAL NNP 39713 5925 4 REASONING REASONING NNP 39713 5925 5 CHAPTER chapter NN 39713 5925 6 I -PRON- PRP 39713 5925 7 THE the DT 39713 5925 8 RELATIVITY RELATIVITY NNP 39713 5925 9 OF of IN 39713 5925 10 SPACE space NN 39713 5925 11 I -PRON- PRP 39713 5925 12 It -PRON- PRP 39713 5925 13 is be VBZ 39713 5925 14 impossible impossible JJ 39713 5925 15 to to TO 39713 5925 16 represent represent VB 39713 5925 17 to to IN 39713 5925 18 oneself oneself PRP 39713 5925 19 empty empty JJ 39713 5925 20 space space NN 39713 5925 21 ; ; : 39713 5925 22 all all PDT 39713 5925 23 our -PRON- PRP$ 39713 5925 24 efforts effort NNS 39713 5925 25 to to TO 39713 5925 26 imagine imagine VB 39713 5925 27 a a DT 39713 5925 28 pure pure JJ 39713 5925 29 space space NN 39713 5925 30 , , , 39713 5925 31 whence whence NN 39713 5925 32 should should MD 39713 5925 33 be be VB 39713 5925 34 excluded exclude VBN 39713 5925 35 the the DT 39713 5925 36 changing change VBG 39713 5925 37 images image NNS 39713 5925 38 of of IN 39713 5925 39 material material JJ 39713 5925 40 objects object NNS 39713 5925 41 , , , 39713 5925 42 can can MD 39713 5925 43 result result VB 39713 5925 44 only only RB 39713 5925 45 in in IN 39713 5925 46 a a DT 39713 5925 47 representation representation NN 39713 5925 48 where where WRB 39713 5925 49 vividly vividly RB 39713 5925 50 colored color VBN 39713 5925 51 surfaces surface NNS 39713 5925 52 , , , 39713 5925 53 for for IN 39713 5925 54 example example NN 39713 5925 55 , , , 39713 5925 56 are be VBP 39713 5925 57 replaced replace VBN 39713 5925 58 by by IN 39713 5925 59 lines line NNS 39713 5925 60 of of IN 39713 5925 61 faint faint JJ 39713 5925 62 coloration coloration NN 39713 5925 63 , , , 39713 5925 64 and and CC 39713 5925 65 we -PRON- PRP 39713 5925 66 can can MD 39713 5925 67 not not RB 39713 5925 68 go go VB 39713 5925 69 to to IN 39713 5925 70 the the DT 39713 5925 71 very very JJ 39713 5925 72 end end NN 39713 5925 73 in in IN 39713 5925 74 this this DT 39713 5925 75 way way NN 39713 5925 76 without without IN 39713 5925 77 all all DT 39713 5925 78 vanishing vanish VBG 39713 5925 79 and and CC 39713 5925 80 terminating terminate VBG 39713 5925 81 in in IN 39713 5925 82 nothingness nothingness NN 39713 5925 83 . . . 39713 5926 1 Thence thence NN 39713 5926 2 comes come VBZ 39713 5926 3 the the DT 39713 5926 4 irreducible irreducible JJ 39713 5926 5 relativity relativity NN 39713 5926 6 of of IN 39713 5926 7 space space NN 39713 5926 8 . . . 39713 5927 1 Whoever whoever WP 39713 5927 2 speaks speak VBZ 39713 5927 3 of of IN 39713 5927 4 absolute absolute JJ 39713 5927 5 space space NN 39713 5927 6 uses use VBZ 39713 5927 7 a a DT 39713 5927 8 meaningless meaningless JJ 39713 5927 9 phrase phrase NN 39713 5927 10 . . . 39713 5928 1 This this DT 39713 5928 2 is be VBZ 39713 5928 3 a a DT 39713 5928 4 truth truth NN 39713 5928 5 long long RB 39713 5928 6 proclaimed proclaim VBN 39713 5928 7 by by IN 39713 5928 8 all all DT 39713 5928 9 who who WP 39713 5928 10 have have VBP 39713 5928 11 reflected reflect VBN 39713 5928 12 upon upon IN 39713 5928 13 the the DT 39713 5928 14 matter matter NN 39713 5928 15 , , , 39713 5928 16 but but CC 39713 5928 17 which which WDT 39713 5928 18 we -PRON- PRP 39713 5928 19 are be VBP 39713 5928 20 too too RB 39713 5928 21 often often RB 39713 5928 22 led lead VBN 39713 5928 23 to to TO 39713 5928 24 forget forget VB 39713 5928 25 . . . 39713 5929 1 I -PRON- PRP 39713 5929 2 am be VBP 39713 5929 3 at at IN 39713 5929 4 a a DT 39713 5929 5 determinate determinate NN 39713 5929 6 point point NN 39713 5929 7 in in IN 39713 5929 8 Paris Paris NNP 39713 5929 9 , , , 39713 5929 10 place place NN 39713 5929 11 du du VBP 39713 5929 12 Panthéon Panthéon NNP 39713 5929 13 for for IN 39713 5929 14 instance instance NN 39713 5929 15 , , , 39713 5929 16 and and CC 39713 5929 17 I -PRON- PRP 39713 5929 18 say say VBP 39713 5929 19 : : : 39713 5929 20 I -PRON- PRP 39713 5929 21 shall shall MD 39713 5929 22 come come VB 39713 5929 23 back back RB 39713 5929 24 _ _ NNP 39713 5929 25 here here RB 39713 5929 26 _ _ NNP 39713 5929 27 to to IN 39713 5929 28 - - HYPH 39713 5929 29 morrow morrow NNP 39713 5929 30 . . . 39713 5930 1 If if IN 39713 5930 2 I -PRON- PRP 39713 5930 3 be be VBP 39713 5930 4 asked ask VBN 39713 5930 5 : : : 39713 5930 6 Do do VBP 39713 5930 7 you -PRON- PRP 39713 5930 8 mean mean VB 39713 5930 9 you -PRON- PRP 39713 5930 10 will will MD 39713 5930 11 return return VB 39713 5930 12 to to IN 39713 5930 13 the the DT 39713 5930 14 same same JJ 39713 5930 15 point point NN 39713 5930 16 of of IN 39713 5930 17 space space NN 39713 5930 18 , , , 39713 5930 19 I -PRON- PRP 39713 5930 20 shall shall MD 39713 5930 21 be be VB 39713 5930 22 tempted tempt VBN 39713 5930 23 to to TO 39713 5930 24 answer answer VB 39713 5930 25 : : : 39713 5930 26 yes yes UH 39713 5930 27 ; ; : 39713 5930 28 and and CC 39713 5930 29 yet yet RB 39713 5930 30 I -PRON- PRP 39713 5930 31 shall shall MD 39713 5930 32 be be VB 39713 5930 33 wrong wrong JJ 39713 5930 34 , , , 39713 5930 35 since since IN 39713 5930 36 by by IN 39713 5930 37 to to NN 39713 5930 38 - - HYPH 39713 5930 39 morrow morrow VB 39713 5930 40 the the DT 39713 5930 41 earth earth NN 39713 5930 42 will will MD 39713 5930 43 have have VB 39713 5930 44 journeyed journey VBN 39713 5930 45 hence hence RB 39713 5930 46 , , , 39713 5930 47 carrying carry VBG 39713 5930 48 with with IN 39713 5930 49 it -PRON- PRP 39713 5930 50 the the DT 39713 5930 51 place place NN 39713 5930 52 du du NNP 39713 5930 53 Panthéon Panthéon NNP 39713 5930 54 , , , 39713 5930 55 which which WDT 39713 5930 56 will will MD 39713 5930 57 have have VB 39713 5930 58 traveled travel VBN 39713 5930 59 over over IN 39713 5930 60 more more JJR 39713 5930 61 than than IN 39713 5930 62 two two CD 39713 5930 63 million million CD 39713 5930 64 kilometers kilometer NNS 39713 5930 65 . . . 39713 5931 1 And and CC 39713 5931 2 if if IN 39713 5931 3 I -PRON- PRP 39713 5931 4 tried try VBD 39713 5931 5 to to TO 39713 5931 6 speak speak VB 39713 5931 7 more more RBR 39713 5931 8 precisely precisely RB 39713 5931 9 , , , 39713 5931 10 I -PRON- PRP 39713 5931 11 should should MD 39713 5931 12 gain gain VB 39713 5931 13 nothing nothing NN 39713 5931 14 , , , 39713 5931 15 since since IN 39713 5931 16 our -PRON- PRP$ 39713 5931 17 globe globe NN 39713 5931 18 has have VBZ 39713 5931 19 run run VBN 39713 5931 20 over over IN 39713 5931 21 these these DT 39713 5931 22 two two CD 39713 5931 23 million million CD 39713 5931 24 kilometers kilometer NNS 39713 5931 25 in in IN 39713 5931 26 its -PRON- PRP$ 39713 5931 27 motion motion NN 39713 5931 28 with with IN 39713 5931 29 relation relation NN 39713 5931 30 to to IN 39713 5931 31 the the DT 39713 5931 32 sun sun NN 39713 5931 33 , , , 39713 5931 34 while while IN 39713 5931 35 the the DT 39713 5931 36 sun sun NN 39713 5931 37 in in IN 39713 5931 38 its -PRON- PRP$ 39713 5931 39 turn turn NN 39713 5931 40 is be VBZ 39713 5931 41 displaced displace VBN 39713 5931 42 with with IN 39713 5931 43 reference reference NN 39713 5931 44 to to IN 39713 5931 45 the the DT 39713 5931 46 Milky Milky NNP 39713 5931 47 Way Way NNP 39713 5931 48 , , , 39713 5931 49 while while IN 39713 5931 50 the the DT 39713 5931 51 Milky Milky NNP 39713 5931 52 Way Way NNP 39713 5931 53 itself -PRON- PRP 39713 5931 54 is be VBZ 39713 5931 55 doubtless doubtless RB 39713 5931 56 in in IN 39713 5931 57 motion motion NN 39713 5931 58 without without IN 39713 5931 59 our -PRON- PRP$ 39713 5931 60 being be VBG 39713 5931 61 able able JJ 39713 5931 62 to to TO 39713 5931 63 perceive perceive VB 39713 5931 64 its -PRON- PRP$ 39713 5931 65 velocity velocity NN 39713 5931 66 . . . 39713 5932 1 So so IN 39713 5932 2 that that IN 39713 5932 3 we -PRON- PRP 39713 5932 4 are be VBP 39713 5932 5 completely completely RB 39713 5932 6 ignorant ignorant JJ 39713 5932 7 , , , 39713 5932 8 and and CC 39713 5932 9 always always RB 39713 5932 10 shall shall MD 39713 5932 11 be be VB 39713 5932 12 , , , 39713 5932 13 of of IN 39713 5932 14 how how WRB 39713 5932 15 much much JJ 39713 5932 16 the the DT 39713 5932 17 place place NN 39713 5932 18 du du NNP 39713 5932 19 Panthéon Panthéon NNP 39713 5932 20 is be VBZ 39713 5932 21 displaced displace VBN 39713 5932 22 in in IN 39713 5932 23 a a DT 39713 5932 24 day day NN 39713 5932 25 . . . 39713 5933 1 In in IN 39713 5933 2 sum sum NN 39713 5933 3 , , , 39713 5933 4 I -PRON- PRP 39713 5933 5 meant mean VBD 39713 5933 6 to to TO 39713 5933 7 say say VB 39713 5933 8 : : : 39713 5933 9 To to TO 39713 5933 10 - - HYPH 39713 5933 11 morrow morrow NNP 39713 5933 12 I -PRON- PRP 39713 5933 13 shall shall MD 39713 5933 14 see see VB 39713 5933 15 again again RB 39713 5933 16 the the DT 39713 5933 17 dome dome NN 39713 5933 18 and and CC 39713 5933 19 the the DT 39713 5933 20 pediment pediment NN 39713 5933 21 of of IN 39713 5933 22 the the DT 39713 5933 23 Panthéon Panthéon NNP 39713 5933 24 , , , 39713 5933 25 and and CC 39713 5933 26 if if IN 39713 5933 27 there there EX 39713 5933 28 were be VBD 39713 5933 29 no no DT 39713 5933 30 Panthéon Panthéon NNP 39713 5933 31 my -PRON- PRP$ 39713 5933 32 phrase phrase NN 39713 5933 33 would would MD 39713 5933 34 be be VB 39713 5933 35 meaningless meaningless JJ 39713 5933 36 and and CC 39713 5933 37 space space NN 39713 5933 38 would would MD 39713 5933 39 vanish vanish VB 39713 5933 40 . . . 39713 5934 1 This this DT 39713 5934 2 is be VBZ 39713 5934 3 one one CD 39713 5934 4 of of IN 39713 5934 5 the the DT 39713 5934 6 most most RBS 39713 5934 7 commonplace commonplace JJ 39713 5934 8 forms form NNS 39713 5934 9 of of IN 39713 5934 10 the the DT 39713 5934 11 principle principle NN 39713 5934 12 of of IN 39713 5934 13 the the DT 39713 5934 14 relativity relativity NN 39713 5934 15 of of IN 39713 5934 16 space space NN 39713 5934 17 ; ; : 39713 5934 18 but but CC 39713 5934 19 there there EX 39713 5934 20 is be VBZ 39713 5934 21 another another DT 39713 5934 22 , , , 39713 5934 23 upon upon IN 39713 5934 24 which which WDT 39713 5934 25 Delbeuf Delbeuf NNP 39713 5934 26 has have VBZ 39713 5934 27 particularly particularly RB 39713 5934 28 insisted insist VBN 39713 5934 29 . . . 39713 5935 1 Suppose suppose VB 39713 5935 2 that that IN 39713 5935 3 in in IN 39713 5935 4 the the DT 39713 5935 5 night night NN 39713 5935 6 all all PDT 39713 5935 7 the the DT 39713 5935 8 dimensions dimension NNS 39713 5935 9 of of IN 39713 5935 10 the the DT 39713 5935 11 universe universe NN 39713 5935 12 become become VBP 39713 5935 13 a a DT 39713 5935 14 thousand thousand CD 39713 5935 15 times time NNS 39713 5935 16 greater great JJR 39713 5935 17 : : : 39713 5935 18 the the DT 39713 5935 19 world world NN 39713 5935 20 will will MD 39713 5935 21 have have VB 39713 5935 22 remained remain VBN 39713 5935 23 _ _ NNP 39713 5935 24 similar similar JJ 39713 5935 25 _ _ NNP 39713 5935 26 to to IN 39713 5935 27 itself -PRON- PRP 39713 5935 28 , , , 39713 5935 29 giving give VBG 39713 5935 30 to to IN 39713 5935 31 the the DT 39713 5935 32 word word NN 39713 5935 33 _ _ NNP 39713 5935 34 similitude similitude NN 39713 5935 35 _ _ NNP 39713 5935 36 the the DT 39713 5935 37 same same JJ 39713 5935 38 meaning meaning NN 39713 5935 39 as as IN 39713 5935 40 in in IN 39713 5935 41 Euclid Euclid NNP 39713 5935 42 , , , 39713 5935 43 Book Book NNP 39713 5935 44 VI VI NNP 39713 5935 45 . . . 39713 5936 1 Only only RB 39713 5936 2 what what WP 39713 5936 3 was be VBD 39713 5936 4 a a DT 39713 5936 5 meter meter NN 39713 5936 6 long long JJ 39713 5936 7 will will MD 39713 5936 8 measure measure VB 39713 5936 9 thenceforth thenceforth NN 39713 5936 10 a a DT 39713 5936 11 kilometer kilometer NN 39713 5936 12 , , , 39713 5936 13 what what WP 39713 5936 14 was be VBD 39713 5936 15 a a DT 39713 5936 16 millimeter millimeter NN 39713 5936 17 long long RB 39713 5936 18 will will MD 39713 5936 19 become become VB 39713 5936 20 a a DT 39713 5936 21 meter meter NN 39713 5936 22 . . . 39713 5937 1 The the DT 39713 5937 2 bed bed NN 39713 5937 3 whereon whereon NN 39713 5937 4 I -PRON- PRP 39713 5937 5 lie lie VBP 39713 5937 6 and and CC 39713 5937 7 my -PRON- PRP$ 39713 5937 8 body body NN 39713 5937 9 itself -PRON- PRP 39713 5937 10 will will MD 39713 5937 11 be be VB 39713 5937 12 enlarged enlarge VBN 39713 5937 13 in in IN 39713 5937 14 the the DT 39713 5937 15 same same JJ 39713 5937 16 proportion proportion NN 39713 5937 17 . . . 39713 5938 1 When when WRB 39713 5938 2 I -PRON- PRP 39713 5938 3 awake awake VBP 39713 5938 4 to to IN 39713 5938 5 - - HYPH 39713 5938 6 morrow morrow NN 39713 5938 7 morning morning NN 39713 5938 8 , , , 39713 5938 9 what what WDT 39713 5938 10 sensation sensation NN 39713 5938 11 shall shall MD 39713 5938 12 I -PRON- PRP 39713 5938 13 feel feel VB 39713 5938 14 in in IN 39713 5938 15 presence presence NN 39713 5938 16 of of IN 39713 5938 17 such such PDT 39713 5938 18 an an DT 39713 5938 19 astounding astounding JJ 39713 5938 20 transformation transformation NN 39713 5938 21 ? ? . 39713 5939 1 Well well UH 39713 5939 2 , , , 39713 5939 3 I -PRON- PRP 39713 5939 4 shall shall MD 39713 5939 5 perceive perceive VB 39713 5939 6 nothing nothing NN 39713 5939 7 at at RB 39713 5939 8 all all RB 39713 5939 9 . . . 39713 5940 1 The the DT 39713 5940 2 most most RBS 39713 5940 3 precise precise JJ 39713 5940 4 measurements measurement NNS 39713 5940 5 will will MD 39713 5940 6 be be VB 39713 5940 7 incapable incapable JJ 39713 5940 8 of of IN 39713 5940 9 revealing reveal VBG 39713 5940 10 to to IN 39713 5940 11 me -PRON- PRP 39713 5940 12 anything anything NN 39713 5940 13 of of IN 39713 5940 14 this this DT 39713 5940 15 immense immense JJ 39713 5940 16 convulsion convulsion NN 39713 5940 17 , , , 39713 5940 18 since since IN 39713 5940 19 the the DT 39713 5940 20 measures measure NNS 39713 5940 21 I -PRON- PRP 39713 5940 22 use use VBP 39713 5940 23 will will MD 39713 5940 24 have have VB 39713 5940 25 varied vary VBN 39713 5940 26 precisely precisely RB 39713 5940 27 in in IN 39713 5940 28 the the DT 39713 5940 29 same same JJ 39713 5940 30 proportion proportion NN 39713 5940 31 as as IN 39713 5940 32 the the DT 39713 5940 33 objects object NNS 39713 5940 34 I -PRON- PRP 39713 5940 35 seek seek VBP 39713 5940 36 to to TO 39713 5940 37 measure measure VB 39713 5940 38 . . . 39713 5941 1 In in IN 39713 5941 2 reality reality NN 39713 5941 3 , , , 39713 5941 4 this this DT 39713 5941 5 convulsion convulsion NN 39713 5941 6 exists exist VBZ 39713 5941 7 only only RB 39713 5941 8 for for IN 39713 5941 9 those those DT 39713 5941 10 who who WP 39713 5941 11 reason reason VBP 39713 5941 12 as as IN 39713 5941 13 if if IN 39713 5941 14 space space NN 39713 5941 15 were be VBD 39713 5941 16 absolute absolute JJ 39713 5941 17 . . . 39713 5942 1 If if IN 39713 5942 2 I -PRON- PRP 39713 5942 3 for for IN 39713 5942 4 a a DT 39713 5942 5 moment moment NN 39713 5942 6 have have VBP 39713 5942 7 reasoned reason VBN 39713 5942 8 as as IN 39713 5942 9 they -PRON- PRP 39713 5942 10 do do VBP 39713 5942 11 , , , 39713 5942 12 it -PRON- PRP 39713 5942 13 is be VBZ 39713 5942 14 the the DT 39713 5942 15 better well JJR 39713 5942 16 to to TO 39713 5942 17 bring bring VB 39713 5942 18 out out RP 39713 5942 19 that that IN 39713 5942 20 their -PRON- PRP$ 39713 5942 21 way way NN 39713 5942 22 of of IN 39713 5942 23 seeing seeing NN 39713 5942 24 implies imply VBZ 39713 5942 25 contradiction contradiction NN 39713 5942 26 . . . 39713 5943 1 In in IN 39713 5943 2 fact fact NN 39713 5943 3 it -PRON- PRP 39713 5943 4 would would MD 39713 5943 5 be be VB 39713 5943 6 better well JJR 39713 5943 7 to to TO 39713 5943 8 say say VB 39713 5943 9 that that IN 39713 5943 10 , , , 39713 5943 11 space space NN 39713 5943 12 being be VBG 39713 5943 13 relative relative JJ 39713 5943 14 , , , 39713 5943 15 nothing nothing NN 39713 5943 16 at at RB 39713 5943 17 all all RB 39713 5943 18 has have VBZ 39713 5943 19 happened happen VBN 39713 5943 20 , , , 39713 5943 21 which which WDT 39713 5943 22 is be VBZ 39713 5943 23 why why WRB 39713 5943 24 we -PRON- PRP 39713 5943 25 have have VBP 39713 5943 26 perceived perceive VBN 39713 5943 27 nothing nothing NN 39713 5943 28 . . . 39713 5944 1 Has have VBZ 39713 5944 2 one one CD 39713 5944 3 the the DT 39713 5944 4 right right NN 39713 5944 5 , , , 39713 5944 6 therefore therefore RB 39713 5944 7 , , , 39713 5944 8 to to TO 39713 5944 9 say say VB 39713 5944 10 he -PRON- PRP 39713 5944 11 knows know VBZ 39713 5944 12 the the DT 39713 5944 13 distance distance NN 39713 5944 14 between between IN 39713 5944 15 two two CD 39713 5944 16 points point NNS 39713 5944 17 ? ? . 39713 5945 1 No no UH 39713 5945 2 , , , 39713 5945 3 since since IN 39713 5945 4 this this DT 39713 5945 5 distance distance NN 39713 5945 6 could could MD 39713 5945 7 undergo undergo VB 39713 5945 8 enormous enormous JJ 39713 5945 9 variations variation NNS 39713 5945 10 without without IN 39713 5945 11 our -PRON- PRP$ 39713 5945 12 being be VBG 39713 5945 13 able able JJ 39713 5945 14 to to TO 39713 5945 15 perceive perceive VB 39713 5945 16 them -PRON- PRP 39713 5945 17 , , , 39713 5945 18 provided provide VBD 39713 5945 19 the the DT 39713 5945 20 other other JJ 39713 5945 21 distances distance NNS 39713 5945 22 have have VBP 39713 5945 23 varied vary VBN 39713 5945 24 in in IN 39713 5945 25 the the DT 39713 5945 26 same same JJ 39713 5945 27 proportion proportion NN 39713 5945 28 . . . 39713 5946 1 We -PRON- PRP 39713 5946 2 have have VBP 39713 5946 3 just just RB 39713 5946 4 seen see VBN 39713 5946 5 that that IN 39713 5946 6 when when WRB 39713 5946 7 I -PRON- PRP 39713 5946 8 say say VBP 39713 5946 9 : : : 39713 5946 10 I -PRON- PRP 39713 5946 11 shall shall MD 39713 5946 12 be be VB 39713 5946 13 here here RB 39713 5946 14 to to IN 39713 5946 15 - - HYPH 39713 5946 16 morrow morrow NNP 39713 5946 17 , , , 39713 5946 18 this this DT 39713 5946 19 does do VBZ 39713 5946 20 not not RB 39713 5946 21 mean mean VB 39713 5946 22 : : : 39713 5946 23 To to TO 39713 5946 24 - - HYPH 39713 5946 25 morrow morrow NN 39713 5946 26 I -PRON- PRP 39713 5946 27 shall shall MD 39713 5946 28 be be VB 39713 5946 29 at at IN 39713 5946 30 the the DT 39713 5946 31 same same JJ 39713 5946 32 point point NN 39713 5946 33 of of IN 39713 5946 34 space space NN 39713 5946 35 where where WRB 39713 5946 36 I -PRON- PRP 39713 5946 37 am be VBP 39713 5946 38 to to IN 39713 5946 39 - - HYPH 39713 5946 40 day day NN 39713 5946 41 , , , 39713 5946 42 but but CC 39713 5946 43 rather rather RB 39713 5946 44 : : : 39713 5946 45 To to TO 39713 5946 46 - - HYPH 39713 5946 47 morrow morrow NN 39713 5946 48 I -PRON- PRP 39713 5946 49 shall shall MD 39713 5946 50 be be VB 39713 5946 51 at at IN 39713 5946 52 the the DT 39713 5946 53 same same JJ 39713 5946 54 distance distance NN 39713 5946 55 from from IN 39713 5946 56 the the DT 39713 5946 57 Panthéon Panthéon NNP 39713 5946 58 as as IN 39713 5946 59 to to IN 39713 5946 60 - - HYPH 39713 5946 61 day day NN 39713 5946 62 . . . 39713 5947 1 And and CC 39713 5947 2 we -PRON- PRP 39713 5947 3 see see VBP 39713 5947 4 that that IN 39713 5947 5 this this DT 39713 5947 6 statement statement NN 39713 5947 7 is be VBZ 39713 5947 8 no no DT 39713 5947 9 longer long RBR 39713 5947 10 sufficient sufficient JJ 39713 5947 11 and and CC 39713 5947 12 that that IN 39713 5947 13 I -PRON- PRP 39713 5947 14 should should MD 39713 5947 15 say say VB 39713 5947 16 : : : 39713 5947 17 To to TO 39713 5947 18 - - HYPH 39713 5947 19 morrow morrow NN 39713 5947 20 and and CC 39713 5947 21 to to IN 39713 5947 22 - - HYPH 39713 5947 23 day day NN 39713 5947 24 my -PRON- PRP$ 39713 5947 25 distance distance NN 39713 5947 26 from from IN 39713 5947 27 the the DT 39713 5947 28 Panthéon Panthéon NNP 39713 5947 29 will will MD 39713 5947 30 be be VB 39713 5947 31 equal equal JJ 39713 5947 32 to to IN 39713 5947 33 the the DT 39713 5947 34 same same JJ 39713 5947 35 number number NN 39713 5947 36 of of IN 39713 5947 37 times time NNS 39713 5947 38 the the DT 39713 5947 39 height height NN 39713 5947 40 of of IN 39713 5947 41 my -PRON- PRP$ 39713 5947 42 body body NN 39713 5947 43 . . . 39713 5948 1 But but CC 39713 5948 2 this this DT 39713 5948 3 is be VBZ 39713 5948 4 not not RB 39713 5948 5 all all DT 39713 5948 6 ; ; : 39713 5948 7 I -PRON- PRP 39713 5948 8 have have VBP 39713 5948 9 supposed suppose VBN 39713 5948 10 the the DT 39713 5948 11 dimensions dimension NNS 39713 5948 12 of of IN 39713 5948 13 the the DT 39713 5948 14 world world NN 39713 5948 15 to to TO 39713 5948 16 vary vary VB 39713 5948 17 , , , 39713 5948 18 but but CC 39713 5948 19 that that IN 39713 5948 20 at at IN 39713 5948 21 least least JJS 39713 5948 22 the the DT 39713 5948 23 world world NN 39713 5948 24 remained remain VBD 39713 5948 25 always always RB 39713 5948 26 similar similar JJ 39713 5948 27 to to IN 39713 5948 28 itself -PRON- PRP 39713 5948 29 . . . 39713 5949 1 We -PRON- PRP 39713 5949 2 might may MD 39713 5949 3 go go VB 39713 5949 4 much much RB 39713 5949 5 further further RB 39713 5949 6 , , , 39713 5949 7 and and CC 39713 5949 8 one one CD 39713 5949 9 of of IN 39713 5949 10 the the DT 39713 5949 11 most most RBS 39713 5949 12 astonishing astonishing JJ 39713 5949 13 theories theory NNS 39713 5949 14 of of IN 39713 5949 15 modern modern JJ 39713 5949 16 physics physics NN 39713 5949 17 furnishes furnishe NNS 39713 5949 18 us -PRON- PRP 39713 5949 19 the the DT 39713 5949 20 occasion occasion NN 39713 5949 21 . . . 39713 5950 1 According accord VBG 39713 5950 2 to to IN 39713 5950 3 Lorentz Lorentz NNP 39713 5950 4 and and CC 39713 5950 5 Fitzgerald Fitzgerald NNP 39713 5950 6 , , , 39713 5950 7 all all PDT 39713 5950 8 the the DT 39713 5950 9 bodies body NNS 39713 5950 10 borne bear VBN 39713 5950 11 along along IN 39713 5950 12 in in IN 39713 5950 13 the the DT 39713 5950 14 motion motion NN 39713 5950 15 of of IN 39713 5950 16 the the DT 39713 5950 17 earth earth NN 39713 5950 18 undergo undergo VBP 39713 5950 19 a a DT 39713 5950 20 deformation deformation NN 39713 5950 21 . . . 39713 5951 1 This this DT 39713 5951 2 deformation deformation NN 39713 5951 3 is be VBZ 39713 5951 4 , , , 39713 5951 5 in in IN 39713 5951 6 reality reality NN 39713 5951 7 , , , 39713 5951 8 very very RB 39713 5951 9 slight slight JJ 39713 5951 10 , , , 39713 5951 11 since since IN 39713 5951 12 all all DT 39713 5951 13 dimensions dimension NNS 39713 5951 14 parallel parallel JJ 39713 5951 15 to to IN 39713 5951 16 the the DT 39713 5951 17 movement movement NN 39713 5951 18 of of IN 39713 5951 19 the the DT 39713 5951 20 earth earth NN 39713 5951 21 diminish diminish VB 39713 5951 22 by by IN 39713 5951 23 a a DT 39713 5951 24 hundred hundred CD 39713 5951 25 millionth millionth NN 39713 5951 26 , , , 39713 5951 27 while while IN 39713 5951 28 the the DT 39713 5951 29 dimensions dimension NNS 39713 5951 30 perpendicular perpendicular JJ 39713 5951 31 to to IN 39713 5951 32 this this DT 39713 5951 33 movement movement NN 39713 5951 34 are be VBP 39713 5951 35 unchanged unchanged JJ 39713 5951 36 . . . 39713 5952 1 But but CC 39713 5952 2 it -PRON- PRP 39713 5952 3 matters matter VBZ 39713 5952 4 little little JJ 39713 5952 5 that that IN 39713 5952 6 it -PRON- PRP 39713 5952 7 is be VBZ 39713 5952 8 slight slight JJ 39713 5952 9 , , , 39713 5952 10 that that IN 39713 5952 11 it -PRON- PRP 39713 5952 12 exists exist VBZ 39713 5952 13 suffices suffice NNS 39713 5952 14 for for IN 39713 5952 15 the the DT 39713 5952 16 conclusion conclusion NN 39713 5952 17 I -PRON- PRP 39713 5952 18 am be VBP 39713 5952 19 about about JJ 39713 5952 20 to to TO 39713 5952 21 draw draw VB 39713 5952 22 . . . 39713 5953 1 And and CC 39713 5953 2 besides besides RB 39713 5953 3 , , , 39713 5953 4 I -PRON- PRP 39713 5953 5 have have VBP 39713 5953 6 said say VBN 39713 5953 7 it -PRON- PRP 39713 5953 8 was be VBD 39713 5953 9 slight slight JJ 39713 5953 10 , , , 39713 5953 11 but but CC 39713 5953 12 in in IN 39713 5953 13 reality reality NN 39713 5953 14 I -PRON- PRP 39713 5953 15 know know VBP 39713 5953 16 nothing nothing NN 39713 5953 17 about about IN 39713 5953 18 it -PRON- PRP 39713 5953 19 ; ; : 39713 5953 20 I -PRON- PRP 39713 5953 21 have have VBP 39713 5953 22 myself -PRON- PRP 39713 5953 23 been be VBN 39713 5953 24 victim victim NN 39713 5953 25 of of IN 39713 5953 26 the the DT 39713 5953 27 tenacious tenacious JJ 39713 5953 28 illusion illusion NN 39713 5953 29 which which WDT 39713 5953 30 makes make VBZ 39713 5953 31 us -PRON- PRP 39713 5953 32 believe believe VB 39713 5953 33 we -PRON- PRP 39713 5953 34 conceive conceive VBP 39713 5953 35 an an DT 39713 5953 36 absolute absolute JJ 39713 5953 37 space space NN 39713 5953 38 ; ; : 39713 5953 39 I -PRON- PRP 39713 5953 40 have have VBP 39713 5953 41 thought think VBN 39713 5953 42 of of IN 39713 5953 43 the the DT 39713 5953 44 motion motion NN 39713 5953 45 of of IN 39713 5953 46 the the DT 39713 5953 47 earth earth NN 39713 5953 48 in in IN 39713 5953 49 its -PRON- PRP$ 39713 5953 50 elliptic elliptic JJ 39713 5953 51 orbit orbit NN 39713 5953 52 around around IN 39713 5953 53 the the DT 39713 5953 54 sun sun NN 39713 5953 55 , , , 39713 5953 56 and and CC 39713 5953 57 I -PRON- PRP 39713 5953 58 have have VBP 39713 5953 59 allowed allow VBN 39713 5953 60 thirty thirty CD 39713 5953 61 kilometers kilometer NNS 39713 5953 62 as as IN 39713 5953 63 its -PRON- PRP$ 39713 5953 64 velocity velocity NN 39713 5953 65 . . . 39713 5954 1 But but CC 39713 5954 2 its -PRON- PRP$ 39713 5954 3 real real JJ 39713 5954 4 velocity velocity NN 39713 5954 5 ( ( -LRB- 39713 5954 6 I -PRON- PRP 39713 5954 7 mean mean VBP 39713 5954 8 , , , 39713 5954 9 this this DT 39713 5954 10 time time NN 39713 5954 11 , , , 39713 5954 12 not not RB 39713 5954 13 its -PRON- PRP$ 39713 5954 14 absolute absolute JJ 39713 5954 15 velocity velocity NN 39713 5954 16 , , , 39713 5954 17 which which WDT 39713 5954 18 is be VBZ 39713 5954 19 meaningless meaningless JJ 39713 5954 20 , , , 39713 5954 21 but but CC 39713 5954 22 its -PRON- PRP$ 39713 5954 23 velocity velocity NN 39713 5954 24 with with IN 39713 5954 25 relation relation NN 39713 5954 26 to to IN 39713 5954 27 the the DT 39713 5954 28 ether ether NN 39713 5954 29 ) ) -RRB- 39713 5954 30 , , , 39713 5954 31 I -PRON- PRP 39713 5954 32 do do VBP 39713 5954 33 not not RB 39713 5954 34 know know VB 39713 5954 35 that that DT 39713 5954 36 , , , 39713 5954 37 and and CC 39713 5954 38 have have VBP 39713 5954 39 no no DT 39713 5954 40 means means NN 39713 5954 41 of of IN 39713 5954 42 knowing know VBG 39713 5954 43 it -PRON- PRP 39713 5954 44 : : : 39713 5954 45 it -PRON- PRP 39713 5954 46 is be VBZ 39713 5954 47 perhaps perhaps RB 39713 5954 48 , , , 39713 5954 49 10 10 CD 39713 5954 50 , , , 39713 5954 51 100 100 CD 39713 5954 52 times time NNS 39713 5954 53 greater great JJR 39713 5954 54 , , , 39713 5954 55 and and CC 39713 5954 56 then then RB 39713 5954 57 the the DT 39713 5954 58 deformation deformation NN 39713 5954 59 will will MD 39713 5954 60 be be VB 39713 5954 61 100 100 CD 39713 5954 62 , , , 39713 5954 63 10,000 10,000 CD 39713 5954 64 times time NNS 39713 5954 65 more more JJR 39713 5954 66 . . . 39713 5955 1 Can Can MD 39713 5955 2 we -PRON- PRP 39713 5955 3 show show VB 39713 5955 4 this this DT 39713 5955 5 deformation deformation NN 39713 5955 6 ? ? . 39713 5956 1 Evidently evidently RB 39713 5956 2 not not RB 39713 5956 3 ; ; : 39713 5956 4 here here RB 39713 5956 5 is be VBZ 39713 5956 6 a a DT 39713 5956 7 cube cube NN 39713 5956 8 with with IN 39713 5956 9 edge edge NN 39713 5956 10 one one CD 39713 5956 11 meter meter NN 39713 5956 12 ; ; : 39713 5956 13 in in IN 39713 5956 14 consequence consequence NN 39713 5956 15 of of IN 39713 5956 16 the the DT 39713 5956 17 earth earth NN 39713 5956 18 's 's POS 39713 5956 19 displacement displacement NN 39713 5956 20 it -PRON- PRP 39713 5956 21 is be VBZ 39713 5956 22 deformed deform VBN 39713 5956 23 , , , 39713 5956 24 one one CD 39713 5956 25 of of IN 39713 5956 26 its -PRON- PRP$ 39713 5956 27 edges edge NNS 39713 5956 28 , , , 39713 5956 29 that that DT 39713 5956 30 parallel parallel NN 39713 5956 31 to to IN 39713 5956 32 the the DT 39713 5956 33 motion motion NN 39713 5956 34 , , , 39713 5956 35 becomes become VBZ 39713 5956 36 smaller small JJR 39713 5956 37 , , , 39713 5956 38 the the DT 39713 5956 39 others other NNS 39713 5956 40 do do VBP 39713 5956 41 not not RB 39713 5956 42 change change VB 39713 5956 43 . . . 39713 5957 1 If if IN 39713 5957 2 I -PRON- PRP 39713 5957 3 wish wish VBP 39713 5957 4 to to TO 39713 5957 5 assure assure VB 39713 5957 6 myself -PRON- PRP 39713 5957 7 of of IN 39713 5957 8 it -PRON- PRP 39713 5957 9 by by IN 39713 5957 10 aid aid NN 39713 5957 11 of of IN 39713 5957 12 a a DT 39713 5957 13 meter meter NN 39713 5957 14 measure measure NN 39713 5957 15 , , , 39713 5957 16 I -PRON- PRP 39713 5957 17 shall shall MD 39713 5957 18 measure measure VB 39713 5957 19 first first RB 39713 5957 20 one one CD 39713 5957 21 of of IN 39713 5957 22 the the DT 39713 5957 23 edges edge NNS 39713 5957 24 perpendicular perpendicular JJ 39713 5957 25 to to IN 39713 5957 26 the the DT 39713 5957 27 motion motion NN 39713 5957 28 and and CC 39713 5957 29 shall shall MD 39713 5957 30 find find VB 39713 5957 31 that that IN 39713 5957 32 my -PRON- PRP$ 39713 5957 33 standard standard JJ 39713 5957 34 meter meter NN 39713 5957 35 fits fit VBZ 39713 5957 36 this this DT 39713 5957 37 edge edge NN 39713 5957 38 exactly exactly RB 39713 5957 39 ; ; : 39713 5957 40 and and CC 39713 5957 41 in in IN 39713 5957 42 fact fact NN 39713 5957 43 neither neither DT 39713 5957 44 of of IN 39713 5957 45 these these DT 39713 5957 46 two two CD 39713 5957 47 lengths length NNS 39713 5957 48 is be VBZ 39713 5957 49 changed change VBN 39713 5957 50 , , , 39713 5957 51 since since IN 39713 5957 52 both both DT 39713 5957 53 are be VBP 39713 5957 54 perpendicular perpendicular JJ 39713 5957 55 to to IN 39713 5957 56 the the DT 39713 5957 57 motion motion NN 39713 5957 58 . . . 39713 5958 1 Then then RB 39713 5958 2 I -PRON- PRP 39713 5958 3 wish wish VBP 39713 5958 4 to to TO 39713 5958 5 measure measure VB 39713 5958 6 the the DT 39713 5958 7 other other JJ 39713 5958 8 edge edge NN 39713 5958 9 , , , 39713 5958 10 that that DT 39713 5958 11 parallel parallel NN 39713 5958 12 to to IN 39713 5958 13 the the DT 39713 5958 14 motion motion NN 39713 5958 15 ; ; : 39713 5958 16 to to TO 39713 5958 17 do do VB 39713 5958 18 this this DT 39713 5958 19 I -PRON- PRP 39713 5958 20 displace displace VBP 39713 5958 21 my -PRON- PRP$ 39713 5958 22 meter meter NN 39713 5958 23 and and CC 39713 5958 24 turn turn VB 39713 5958 25 it -PRON- PRP 39713 5958 26 so so IN 39713 5958 27 as as IN 39713 5958 28 to to TO 39713 5958 29 apply apply VB 39713 5958 30 it -PRON- PRP 39713 5958 31 to to IN 39713 5958 32 the the DT 39713 5958 33 edge edge NN 39713 5958 34 . . . 39713 5959 1 But but CC 39713 5959 2 the the DT 39713 5959 3 meter meter NN 39713 5959 4 , , , 39713 5959 5 having have VBG 39713 5959 6 changed change VBN 39713 5959 7 orientation orientation NN 39713 5959 8 and and CC 39713 5959 9 become become VB 39713 5959 10 parallel parallel NN 39713 5959 11 to to IN 39713 5959 12 the the DT 39713 5959 13 motion motion NN 39713 5959 14 , , , 39713 5959 15 has have VBZ 39713 5959 16 undergone undergo VBN 39713 5959 17 , , , 39713 5959 18 in in IN 39713 5959 19 its -PRON- PRP$ 39713 5959 20 turn turn NN 39713 5959 21 , , , 39713 5959 22 the the DT 39713 5959 23 deformation deformation NN 39713 5959 24 , , , 39713 5959 25 so so IN 39713 5959 26 that that IN 39713 5959 27 though though IN 39713 5959 28 the the DT 39713 5959 29 edge edge NN 39713 5959 30 be be VB 39713 5959 31 not not RB 39713 5959 32 a a DT 39713 5959 33 meter meter NN 39713 5959 34 long long RB 39713 5959 35 , , , 39713 5959 36 it -PRON- PRP 39713 5959 37 will will MD 39713 5959 38 fit fit VB 39713 5959 39 exactly exactly RB 39713 5959 40 , , , 39713 5959 41 I -PRON- PRP 39713 5959 42 shall shall MD 39713 5959 43 find find VB 39713 5959 44 out out RP 39713 5959 45 nothing nothing NN 39713 5959 46 . . . 39713 5960 1 You -PRON- PRP 39713 5960 2 ask ask VBP 39713 5960 3 then then RB 39713 5960 4 of of IN 39713 5960 5 what what WDT 39713 5960 6 use use NN 39713 5960 7 is be VBZ 39713 5960 8 the the DT 39713 5960 9 hypothesis hypothesis NN 39713 5960 10 of of IN 39713 5960 11 Lorentz Lorentz NNP 39713 5960 12 and and CC 39713 5960 13 of of IN 39713 5960 14 Fitzgerald Fitzgerald NNP 39713 5960 15 if if IN 39713 5960 16 no no DT 39713 5960 17 experiment experiment NN 39713 5960 18 can can MD 39713 5960 19 permit permit VB 39713 5960 20 of of IN 39713 5960 21 its -PRON- PRP$ 39713 5960 22 verification verification NN 39713 5960 23 ? ? . 39713 5961 1 It -PRON- PRP 39713 5961 2 is be VBZ 39713 5961 3 my -PRON- PRP$ 39713 5961 4 exposition exposition NN 39713 5961 5 that that WDT 39713 5961 6 has have VBZ 39713 5961 7 been be VBN 39713 5961 8 incomplete incomplete JJ 39713 5961 9 ; ; : 39713 5961 10 I -PRON- PRP 39713 5961 11 have have VBP 39713 5961 12 spoken speak VBN 39713 5961 13 only only RB 39713 5961 14 of of IN 39713 5961 15 measurements measurement NNS 39713 5961 16 that that WDT 39713 5961 17 can can MD 39713 5961 18 be be VB 39713 5961 19 made make VBN 39713 5961 20 with with IN 39713 5961 21 a a DT 39713 5961 22 meter meter NN 39713 5961 23 ; ; : 39713 5961 24 but but CC 39713 5961 25 we -PRON- PRP 39713 5961 26 can can MD 39713 5961 27 also also RB 39713 5961 28 measure measure VB 39713 5961 29 a a DT 39713 5961 30 length length NN 39713 5961 31 by by IN 39713 5961 32 the the DT 39713 5961 33 time time NN 39713 5961 34 it -PRON- PRP 39713 5961 35 takes take VBZ 39713 5961 36 light light NN 39713 5961 37 to to TO 39713 5961 38 traverse traverse VB 39713 5961 39 it -PRON- PRP 39713 5961 40 , , , 39713 5961 41 on on IN 39713 5961 42 condition condition NN 39713 5961 43 we -PRON- PRP 39713 5961 44 suppose suppose VBP 39713 5961 45 the the DT 39713 5961 46 velocity velocity NN 39713 5961 47 of of IN 39713 5961 48 light light JJ 39713 5961 49 constant constant JJ 39713 5961 50 and and CC 39713 5961 51 independent independent JJ 39713 5961 52 of of IN 39713 5961 53 direction direction NN 39713 5961 54 . . . 39713 5962 1 Lorentz Lorentz NNP 39713 5962 2 could could MD 39713 5962 3 have have VB 39713 5962 4 accounted account VBN 39713 5962 5 for for IN 39713 5962 6 the the DT 39713 5962 7 facts fact NNS 39713 5962 8 by by IN 39713 5962 9 supposing suppose VBG 39713 5962 10 the the DT 39713 5962 11 velocity velocity NN 39713 5962 12 of of IN 39713 5962 13 light light NN 39713 5962 14 greater great JJR 39713 5962 15 in in IN 39713 5962 16 the the DT 39713 5962 17 direction direction NN 39713 5962 18 of of IN 39713 5962 19 the the DT 39713 5962 20 earth earth NN 39713 5962 21 's 's POS 39713 5962 22 motion motion NN 39713 5962 23 than than IN 39713 5962 24 in in IN 39713 5962 25 the the DT 39713 5962 26 perpendicular perpendicular JJ 39713 5962 27 direction direction NN 39713 5962 28 . . . 39713 5963 1 He -PRON- PRP 39713 5963 2 preferred prefer VBD 39713 5963 3 to to TO 39713 5963 4 suppose suppose VB 39713 5963 5 that that IN 39713 5963 6 the the DT 39713 5963 7 velocity velocity NN 39713 5963 8 is be VBZ 39713 5963 9 the the DT 39713 5963 10 same same JJ 39713 5963 11 in in IN 39713 5963 12 these these DT 39713 5963 13 different different JJ 39713 5963 14 directions direction NNS 39713 5963 15 but but CC 39713 5963 16 that that IN 39713 5963 17 the the DT 39713 5963 18 bodies body NNS 39713 5963 19 are be VBP 39713 5963 20 smaller small JJR 39713 5963 21 in in IN 39713 5963 22 the the DT 39713 5963 23 one one CD 39713 5963 24 than than IN 39713 5963 25 in in IN 39713 5963 26 the the DT 39713 5963 27 other other JJ 39713 5963 28 . . . 39713 5964 1 If if IN 39713 5964 2 the the DT 39713 5964 3 wave wave NN 39713 5964 4 surfaces surface NNS 39713 5964 5 of of IN 39713 5964 6 light light NN 39713 5964 7 had have VBD 39713 5964 8 undergone undergo VBN 39713 5964 9 the the DT 39713 5964 10 same same JJ 39713 5964 11 deformations deformation NNS 39713 5964 12 as as IN 39713 5964 13 the the DT 39713 5964 14 material material NN 39713 5964 15 bodies body NNS 39713 5964 16 we -PRON- PRP 39713 5964 17 should should MD 39713 5964 18 never never RB 39713 5964 19 have have VB 39713 5964 20 perceived perceive VBN 39713 5964 21 the the DT 39713 5964 22 Lorentz Lorentz NNP 39713 5964 23 - - HYPH 39713 5964 24 Fitzgerald Fitzgerald NNP 39713 5964 25 deformation deformation NN 39713 5964 26 . . . 39713 5965 1 In in IN 39713 5965 2 either either DT 39713 5965 3 case case NN 39713 5965 4 , , , 39713 5965 5 it -PRON- PRP 39713 5965 6 is be VBZ 39713 5965 7 not not RB 39713 5965 8 a a DT 39713 5965 9 question question NN 39713 5965 10 of of IN 39713 5965 11 absolute absolute JJ 39713 5965 12 magnitude magnitude NN 39713 5965 13 , , , 39713 5965 14 but but CC 39713 5965 15 of of IN 39713 5965 16 the the DT 39713 5965 17 measure measure NN 39713 5965 18 of of IN 39713 5965 19 this this DT 39713 5965 20 magnitude magnitude NN 39713 5965 21 by by IN 39713 5965 22 means mean NNS 39713 5965 23 of of IN 39713 5965 24 some some DT 39713 5965 25 instrument instrument NN 39713 5965 26 ; ; : 39713 5965 27 this this DT 39713 5965 28 instrument instrument NN 39713 5965 29 may may MD 39713 5965 30 be be VB 39713 5965 31 a a DT 39713 5965 32 meter meter NN 39713 5965 33 , , , 39713 5965 34 or or CC 39713 5965 35 the the DT 39713 5965 36 path path NN 39713 5965 37 traversed traverse VBN 39713 5965 38 by by IN 39713 5965 39 light light NN 39713 5965 40 ; ; : 39713 5965 41 it -PRON- PRP 39713 5965 42 is be VBZ 39713 5965 43 only only RB 39713 5965 44 the the DT 39713 5965 45 relation relation NN 39713 5965 46 of of IN 39713 5965 47 the the DT 39713 5965 48 magnitude magnitude NN 39713 5965 49 to to IN 39713 5965 50 the the DT 39713 5965 51 instrument instrument NN 39713 5965 52 that that WDT 39713 5965 53 we -PRON- PRP 39713 5965 54 measure measure VBP 39713 5965 55 ; ; : 39713 5965 56 and and CC 39713 5965 57 if if IN 39713 5965 58 this this DT 39713 5965 59 relation relation NN 39713 5965 60 is be VBZ 39713 5965 61 altered alter VBN 39713 5965 62 , , , 39713 5965 63 we -PRON- PRP 39713 5965 64 have have VBP 39713 5965 65 no no DT 39713 5965 66 way way NN 39713 5965 67 of of IN 39713 5965 68 knowing know VBG 39713 5965 69 whether whether IN 39713 5965 70 it -PRON- PRP 39713 5965 71 is be VBZ 39713 5965 72 the the DT 39713 5965 73 magnitude magnitude NN 39713 5965 74 or or CC 39713 5965 75 the the DT 39713 5965 76 instrument instrument NN 39713 5965 77 which which WDT 39713 5965 78 has have VBZ 39713 5965 79 changed change VBN 39713 5965 80 . . . 39713 5966 1 But but CC 39713 5966 2 what what WP 39713 5966 3 I -PRON- PRP 39713 5966 4 wish wish VBP 39713 5966 5 to to TO 39713 5966 6 bring bring VB 39713 5966 7 out out RP 39713 5966 8 is be VBZ 39713 5966 9 , , , 39713 5966 10 that that IN 39713 5966 11 in in IN 39713 5966 12 this this DT 39713 5966 13 deformation deformation NN 39713 5966 14 the the DT 39713 5966 15 world world NN 39713 5966 16 has have VBZ 39713 5966 17 not not RB 39713 5966 18 remained remain VBN 39713 5966 19 similar similar JJ 39713 5966 20 to to IN 39713 5966 21 itself -PRON- PRP 39713 5966 22 ; ; : 39713 5966 23 squares square NNS 39713 5966 24 have have VBP 39713 5966 25 become become VBN 39713 5966 26 rectangles rectangle NNS 39713 5966 27 , , , 39713 5966 28 circles circle NNS 39713 5966 29 ellipses ellipsis NNS 39713 5966 30 , , , 39713 5966 31 spheres sphere NNS 39713 5966 32 ellipsoids ellipsoid NNS 39713 5966 33 . . . 39713 5967 1 And and CC 39713 5967 2 yet yet RB 39713 5967 3 we -PRON- PRP 39713 5967 4 have have VBP 39713 5967 5 no no DT 39713 5967 6 way way NN 39713 5967 7 of of IN 39713 5967 8 knowing know VBG 39713 5967 9 whether whether IN 39713 5967 10 this this DT 39713 5967 11 deformation deformation NN 39713 5967 12 be be VB 39713 5967 13 real real JJ 39713 5967 14 . . . 39713 5968 1 Evidently evidently RB 39713 5968 2 one one PRP 39713 5968 3 could could MD 39713 5968 4 go go VB 39713 5968 5 much much RB 39713 5968 6 further further RB 39713 5968 7 : : : 39713 5968 8 in in IN 39713 5968 9 place place NN 39713 5968 10 of of IN 39713 5968 11 the the DT 39713 5968 12 Lorentz Lorentz NNP 39713 5968 13 - - HYPH 39713 5968 14 Fitzgerald Fitzgerald NNP 39713 5968 15 deformation deformation NN 39713 5968 16 , , , 39713 5968 17 whose whose WP$ 39713 5968 18 laws law NNS 39713 5968 19 are be VBP 39713 5968 20 particularly particularly RB 39713 5968 21 simple simple JJ 39713 5968 22 , , , 39713 5968 23 we -PRON- PRP 39713 5968 24 could could MD 39713 5968 25 imagine imagine VB 39713 5968 26 any any DT 39713 5968 27 deformation deformation NN 39713 5968 28 whatsoever whatsoever RB 39713 5968 29 . . . 39713 5969 1 Bodies body NNS 39713 5969 2 could could MD 39713 5969 3 be be VB 39713 5969 4 deformed deform VBN 39713 5969 5 according accord VBG 39713 5969 6 to to IN 39713 5969 7 any any DT 39713 5969 8 laws law NNS 39713 5969 9 , , , 39713 5969 10 as as RB 39713 5969 11 complicated complicated JJ 39713 5969 12 as as IN 39713 5969 13 we -PRON- PRP 39713 5969 14 might may MD 39713 5969 15 wish wish VB 39713 5969 16 , , , 39713 5969 17 we -PRON- PRP 39713 5969 18 never never RB 39713 5969 19 should should MD 39713 5969 20 notice notice VB 39713 5969 21 it -PRON- PRP 39713 5969 22 provided provide VBD 39713 5969 23 all all DT 39713 5969 24 bodies body NNS 39713 5969 25 without without IN 39713 5969 26 exception exception NN 39713 5969 27 were be VBD 39713 5969 28 deformed deform VBN 39713 5969 29 according accord VBG 39713 5969 30 to to IN 39713 5969 31 the the DT 39713 5969 32 same same JJ 39713 5969 33 laws law NNS 39713 5969 34 . . . 39713 5970 1 In in IN 39713 5970 2 saying say VBG 39713 5970 3 , , , 39713 5970 4 all all DT 39713 5970 5 bodies body NNS 39713 5970 6 without without IN 39713 5970 7 exception exception NN 39713 5970 8 , , , 39713 5970 9 I -PRON- PRP 39713 5970 10 include include VBP 39713 5970 11 of of IN 39713 5970 12 course course NN 39713 5970 13 our -PRON- PRP$ 39713 5970 14 own own JJ 39713 5970 15 body body NN 39713 5970 16 and and CC 39713 5970 17 the the DT 39713 5970 18 light light JJ 39713 5970 19 rays ray NNS 39713 5970 20 emanating emanate VBG 39713 5970 21 from from IN 39713 5970 22 different different JJ 39713 5970 23 objects object NNS 39713 5970 24 . . . 39713 5971 1 If if IN 39713 5971 2 we -PRON- PRP 39713 5971 3 look look VBP 39713 5971 4 at at IN 39713 5971 5 the the DT 39713 5971 6 world world NN 39713 5971 7 in in IN 39713 5971 8 one one CD 39713 5971 9 of of IN 39713 5971 10 those those DT 39713 5971 11 mirrors mirror NNS 39713 5971 12 of of IN 39713 5971 13 complicated complicated JJ 39713 5971 14 shape shape NN 39713 5971 15 which which WDT 39713 5971 16 deform deform VBZ 39713 5971 17 objects object NNS 39713 5971 18 in in IN 39713 5971 19 a a DT 39713 5971 20 bizarre bizarre JJ 39713 5971 21 way way NN 39713 5971 22 , , , 39713 5971 23 the the DT 39713 5971 24 mutual mutual JJ 39713 5971 25 relations relation NNS 39713 5971 26 of of IN 39713 5971 27 the the DT 39713 5971 28 different different JJ 39713 5971 29 parts part NNS 39713 5971 30 of of IN 39713 5971 31 this this DT 39713 5971 32 world world NN 39713 5971 33 would would MD 39713 5971 34 not not RB 39713 5971 35 be be VB 39713 5971 36 altered alter VBN 39713 5971 37 ; ; : 39713 5971 38 if if IN 39713 5971 39 , , , 39713 5971 40 in in IN 39713 5971 41 fact fact NN 39713 5971 42 two two CD 39713 5971 43 real real JJ 39713 5971 44 objects object NNS 39713 5971 45 touch touch NN 39713 5971 46 , , , 39713 5971 47 their -PRON- PRP$ 39713 5971 48 images image NNS 39713 5971 49 likewise likewise RB 39713 5971 50 seem seem VBP 39713 5971 51 to to TO 39713 5971 52 touch touch VB 39713 5971 53 . . . 39713 5972 1 Of of RB 39713 5972 2 course course RB 39713 5972 3 when when WRB 39713 5972 4 we -PRON- PRP 39713 5972 5 look look VBP 39713 5972 6 in in IN 39713 5972 7 such such PDT 39713 5972 8 a a DT 39713 5972 9 mirror mirror NN 39713 5972 10 we -PRON- PRP 39713 5972 11 see see VBP 39713 5972 12 indeed indeed RB 39713 5972 13 the the DT 39713 5972 14 deformation deformation NN 39713 5972 15 , , , 39713 5972 16 but but CC 39713 5972 17 this this DT 39713 5972 18 is be VBZ 39713 5972 19 because because IN 39713 5972 20 the the DT 39713 5972 21 real real JJ 39713 5972 22 world world NN 39713 5972 23 subsists subsist NNS 39713 5972 24 alongside alongside RB 39713 5972 25 of of IN 39713 5972 26 its -PRON- PRP$ 39713 5972 27 deformed deform VBN 39713 5972 28 image image NN 39713 5972 29 ; ; : 39713 5972 30 and and CC 39713 5972 31 then then RB 39713 5972 32 even even RB 39713 5972 33 were be VBD 39713 5972 34 this this DT 39713 5972 35 real real JJ 39713 5972 36 world world NN 39713 5972 37 hidden hide VBN 39713 5972 38 from from IN 39713 5972 39 us -PRON- PRP 39713 5972 40 , , , 39713 5972 41 something something NN 39713 5972 42 there there EX 39713 5972 43 is be VBZ 39713 5972 44 could could MD 39713 5972 45 not not RB 39713 5972 46 be be VB 39713 5972 47 hidden hide VBN 39713 5972 48 , , , 39713 5972 49 ourself ourself PRP 39713 5972 50 ; ; : 39713 5972 51 we -PRON- PRP 39713 5972 52 could could MD 39713 5972 53 not not RB 39713 5972 54 cease cease VB 39713 5972 55 to to TO 39713 5972 56 see see VB 39713 5972 57 , , , 39713 5972 58 or or CC 39713 5972 59 at at IN 39713 5972 60 least least JJS 39713 5972 61 to to TO 39713 5972 62 feel feel VB 39713 5972 63 , , , 39713 5972 64 our -PRON- PRP$ 39713 5972 65 body body NN 39713 5972 66 and and CC 39713 5972 67 our -PRON- PRP$ 39713 5972 68 limbs limb NNS 39713 5972 69 which which WDT 39713 5972 70 have have VBP 39713 5972 71 not not RB 39713 5972 72 been be VBN 39713 5972 73 deformed deform VBN 39713 5972 74 and and CC 39713 5972 75 which which WDT 39713 5972 76 continue continue VBP 39713 5972 77 to to TO 39713 5972 78 serve serve VB 39713 5972 79 us -PRON- PRP 39713 5972 80 as as IN 39713 5972 81 instruments instrument NNS 39713 5972 82 of of IN 39713 5972 83 measure measure NN 39713 5972 84 . . . 39713 5973 1 But but CC 39713 5973 2 if if IN 39713 5973 3 we -PRON- PRP 39713 5973 4 imagine imagine VBP 39713 5973 5 our -PRON- PRP$ 39713 5973 6 body body NN 39713 5973 7 itself -PRON- PRP 39713 5973 8 deformed deform VBD 39713 5973 9 in in IN 39713 5973 10 the the DT 39713 5973 11 same same JJ 39713 5973 12 way way NN 39713 5973 13 as as IN 39713 5973 14 if if IN 39713 5973 15 seen see VBN 39713 5973 16 in in IN 39713 5973 17 the the DT 39713 5973 18 mirror mirror NN 39713 5973 19 , , , 39713 5973 20 these these DT 39713 5973 21 instruments instrument NNS 39713 5973 22 of of IN 39713 5973 23 measure measure NN 39713 5973 24 in in IN 39713 5973 25 their -PRON- PRP$ 39713 5973 26 turn turn NN 39713 5973 27 will will MD 39713 5973 28 fail fail VB 39713 5973 29 us -PRON- PRP 39713 5973 30 and and CC 39713 5973 31 the the DT 39713 5973 32 deformation deformation NN 39713 5973 33 will will MD 39713 5973 34 no no RB 39713 5973 35 longer longer RB 39713 5973 36 be be VB 39713 5973 37 ascertainable ascertainable JJ 39713 5973 38 . . . 39713 5974 1 Consider consider VB 39713 5974 2 in in IN 39713 5974 3 the the DT 39713 5974 4 same same JJ 39713 5974 5 way way NN 39713 5974 6 two two CD 39713 5974 7 worlds world NNS 39713 5974 8 images image NNS 39713 5974 9 of of IN 39713 5974 10 one one CD 39713 5974 11 another another DT 39713 5974 12 ; ; : 39713 5974 13 to to IN 39713 5974 14 each each DT 39713 5974 15 object object NN 39713 5974 16 _ _ NNP 39713 5974 17 P P NNP 39713 5974 18 _ _ NNP 39713 5974 19 of of IN 39713 5974 20 the the DT 39713 5974 21 world world NN 39713 5974 22 _ _ NNP 39713 5974 23 A A NNP 39713 5974 24 _ _ NNP 39713 5974 25 corresponds correspond VBZ 39713 5974 26 in in IN 39713 5974 27 the the DT 39713 5974 28 world world NN 39713 5974 29 _ _ NNP 39713 5974 30 B B NNP 39713 5974 31 _ _ NNP 39713 5974 32 an an DT 39713 5974 33 object object NN 39713 5974 34 _ _ NNP 39713 5974 35 P P NNP 39713 5974 36 ' ' '' 39713 5974 37 _ _ NNP 39713 5974 38 , , , 39713 5974 39 its -PRON- PRP$ 39713 5974 40 image image NN 39713 5974 41 ; ; : 39713 5974 42 the the DT 39713 5974 43 coordinates coordinate NNS 39713 5974 44 of of IN 39713 5974 45 this this DT 39713 5974 46 image image NN 39713 5974 47 _ _ NNP 39713 5974 48 P P NNP 39713 5974 49 ' ' '' 39713 5974 50 _ _ NNP 39713 5974 51 are be VBP 39713 5974 52 determinate determinate JJ 39713 5974 53 functions function NNS 39713 5974 54 of of IN 39713 5974 55 those those DT 39713 5974 56 of of IN 39713 5974 57 the the DT 39713 5974 58 object object NN 39713 5974 59 _ _ NNP 39713 5974 60 P P NNP 39713 5974 61 _ _ NNP 39713 5974 62 ; ; : 39713 5974 63 moreover moreover RB 39713 5974 64 these these DT 39713 5974 65 functions function NNS 39713 5974 66 may may MD 39713 5974 67 be be VB 39713 5974 68 any any DT 39713 5974 69 whatsoever whatsoever RB 39713 5974 70 ; ; : 39713 5974 71 I -PRON- PRP 39713 5974 72 only only RB 39713 5974 73 suppose suppose VBP 39713 5974 74 them -PRON- PRP 39713 5974 75 chosen choose VBN 39713 5974 76 once once RB 39713 5974 77 for for IN 39713 5974 78 all all DT 39713 5974 79 . . . 39713 5975 1 Between between IN 39713 5975 2 the the DT 39713 5975 3 position position NN 39713 5975 4 of of IN 39713 5975 5 _ _ NNP 39713 5975 6 P P NNP 39713 5975 7 _ _ NNP 39713 5975 8 and and CC 39713 5975 9 that that DT 39713 5975 10 of of IN 39713 5975 11 _ _ NNP 39713 5975 12 P P NNP 39713 5975 13 ' ' '' 39713 5975 14 _ _ NN 39713 5975 15 there there EX 39713 5975 16 is be VBZ 39713 5975 17 a a DT 39713 5975 18 constant constant JJ 39713 5975 19 relation relation NN 39713 5975 20 ; ; : 39713 5975 21 what what WP 39713 5975 22 this this DT 39713 5975 23 relation relation NN 39713 5975 24 is be VBZ 39713 5975 25 , , , 39713 5975 26 matters matter NNS 39713 5975 27 not not RB 39713 5975 28 ; ; : 39713 5975 29 enough enough RB 39713 5975 30 that that IN 39713 5975 31 it -PRON- PRP 39713 5975 32 be be VB 39713 5975 33 constant constant JJ 39713 5975 34 . . . 39713 5976 1 Well well UH 39713 5976 2 , , , 39713 5976 3 these these DT 39713 5976 4 two two CD 39713 5976 5 worlds world NNS 39713 5976 6 will will MD 39713 5976 7 be be VB 39713 5976 8 indistinguishable indistinguishable JJ 39713 5976 9 one one CD 39713 5976 10 from from IN 39713 5976 11 the the DT 39713 5976 12 other other JJ 39713 5976 13 . . . 39713 5977 1 I -PRON- PRP 39713 5977 2 mean mean VBP 39713 5977 3 the the DT 39713 5977 4 first first JJ 39713 5977 5 will will MD 39713 5977 6 be be VB 39713 5977 7 for for IN 39713 5977 8 its -PRON- PRP$ 39713 5977 9 inhabitants inhabitant NNS 39713 5977 10 what what WP 39713 5977 11 the the DT 39713 5977 12 second second JJ 39713 5977 13 is be VBZ 39713 5977 14 for for IN 39713 5977 15 its -PRON- PRP$ 39713 5977 16 . . . 39713 5978 1 And and CC 39713 5978 2 so so RB 39713 5978 3 it -PRON- PRP 39713 5978 4 will will MD 39713 5978 5 be be VB 39713 5978 6 as as RB 39713 5978 7 long long RB 39713 5978 8 as as IN 39713 5978 9 the the DT 39713 5978 10 two two CD 39713 5978 11 worlds world NNS 39713 5978 12 remain remain VBP 39713 5978 13 strangers stranger NNS 39713 5978 14 to to IN 39713 5978 15 each each DT 39713 5978 16 other other JJ 39713 5978 17 . . . 39713 5979 1 Suppose suppose VB 39713 5979 2 we -PRON- PRP 39713 5979 3 lived live VBD 39713 5979 4 in in IN 39713 5979 5 world world NN 39713 5979 6 _ _ NNP 39713 5979 7 A A NNP 39713 5979 8 _ _ NNP 39713 5979 9 , , , 39713 5979 10 we -PRON- PRP 39713 5979 11 shall shall MD 39713 5979 12 have have VB 39713 5979 13 constructed construct VBN 39713 5979 14 our -PRON- PRP$ 39713 5979 15 science science NN 39713 5979 16 and and CC 39713 5979 17 in in IN 39713 5979 18 particular particular JJ 39713 5979 19 our -PRON- PRP$ 39713 5979 20 geometry geometry NN 39713 5979 21 ; ; : 39713 5979 22 during during IN 39713 5979 23 this this DT 39713 5979 24 time time NN 39713 5979 25 the the DT 39713 5979 26 inhabitants inhabitant NNS 39713 5979 27 of of IN 39713 5979 28 world world NN 39713 5979 29 _ _ NNP 39713 5979 30 B B NNP 39713 5979 31 _ _ NNP 39713 5979 32 will will MD 39713 5979 33 have have VB 39713 5979 34 constructed construct VBN 39713 5979 35 a a DT 39713 5979 36 science science NN 39713 5979 37 , , , 39713 5979 38 and and CC 39713 5979 39 as as IN 39713 5979 40 their -PRON- PRP$ 39713 5979 41 world world NN 39713 5979 42 is be VBZ 39713 5979 43 the the DT 39713 5979 44 image image NN 39713 5979 45 of of IN 39713 5979 46 ours -PRON- PRP 39713 5979 47 , , , 39713 5979 48 their -PRON- PRP$ 39713 5979 49 geometry geometry NN 39713 5979 50 will will MD 39713 5979 51 also also RB 39713 5979 52 be be VB 39713 5979 53 the the DT 39713 5979 54 image image NN 39713 5979 55 of of IN 39713 5979 56 ours -PRON- PRP 39713 5979 57 or or CC 39713 5979 58 , , , 39713 5979 59 better well JJR 39713 5979 60 , , , 39713 5979 61 it -PRON- PRP 39713 5979 62 will will MD 39713 5979 63 be be VB 39713 5979 64 the the DT 39713 5979 65 same same JJ 39713 5979 66 . . . 39713 5980 1 But but CC 39713 5980 2 if if IN 39713 5980 3 for for IN 39713 5980 4 us -PRON- PRP 39713 5980 5 some some DT 39713 5980 6 day day NN 39713 5980 7 a a DT 39713 5980 8 window window NN 39713 5980 9 is be VBZ 39713 5980 10 opened open VBN 39713 5980 11 upon upon IN 39713 5980 12 world world NN 39713 5980 13 _ _ NNP 39713 5980 14 B B NNP 39713 5980 15 _ _ NNP 39713 5980 16 , , , 39713 5980 17 how how WRB 39713 5980 18 we -PRON- PRP 39713 5980 19 shall shall MD 39713 5980 20 pity pity VB 39713 5980 21 them -PRON- PRP 39713 5980 22 : : : 39713 5980 23 " " `` 39713 5980 24 Poor poor JJ 39713 5980 25 things thing NNS 39713 5980 26 , , , 39713 5980 27 " " '' 39713 5980 28 we -PRON- PRP 39713 5980 29 shall shall MD 39713 5980 30 say say VB 39713 5980 31 , , , 39713 5980 32 " " `` 39713 5980 33 they -PRON- PRP 39713 5980 34 think think VBP 39713 5980 35 they -PRON- PRP 39713 5980 36 have have VBP 39713 5980 37 made make VBN 39713 5980 38 a a DT 39713 5980 39 geometry geometry NN 39713 5980 40 , , , 39713 5980 41 but but CC 39713 5980 42 what what WP 39713 5980 43 they -PRON- PRP 39713 5980 44 call call VBP 39713 5980 45 so so RB 39713 5980 46 is be VBZ 39713 5980 47 only only RB 39713 5980 48 a a DT 39713 5980 49 grotesque grotesque JJ 39713 5980 50 image image NN 39713 5980 51 of of IN 39713 5980 52 ours -PRON- PRP 39713 5980 53 ; ; : 39713 5980 54 their -PRON- PRP$ 39713 5980 55 straights straight NNS 39713 5980 56 are be VBP 39713 5980 57 all all RB 39713 5980 58 twisted twisted JJ 39713 5980 59 , , , 39713 5980 60 their -PRON- PRP$ 39713 5980 61 circles circle NNS 39713 5980 62 are be VBP 39713 5980 63 humped hump VBN 39713 5980 64 , , , 39713 5980 65 their -PRON- PRP$ 39713 5980 66 spheres sphere NNS 39713 5980 67 have have VBP 39713 5980 68 capricious capricious JJ 39713 5980 69 inequalities inequality NNS 39713 5980 70 . . . 39713 5980 71 " " '' 39713 5981 1 And and CC 39713 5981 2 we -PRON- PRP 39713 5981 3 shall shall MD 39713 5981 4 never never RB 39713 5981 5 suspect suspect VB 39713 5981 6 they -PRON- PRP 39713 5981 7 say say VBP 39713 5981 8 the the DT 39713 5981 9 same same JJ 39713 5981 10 of of IN 39713 5981 11 us -PRON- PRP 39713 5981 12 , , , 39713 5981 13 and and CC 39713 5981 14 one one NN 39713 5981 15 never never RB 39713 5981 16 will will MD 39713 5981 17 know know VB 39713 5981 18 who who WP 39713 5981 19 is be VBZ 39713 5981 20 right right JJ 39713 5981 21 . . . 39713 5982 1 We -PRON- PRP 39713 5982 2 see see VBP 39713 5982 3 in in IN 39713 5982 4 how how WRB 39713 5982 5 broad broad JJ 39713 5982 6 a a DT 39713 5982 7 sense sense NN 39713 5982 8 should should MD 39713 5982 9 be be VB 39713 5982 10 understood understand VBN 39713 5982 11 the the DT 39713 5982 12 relativity relativity NN 39713 5982 13 of of IN 39713 5982 14 space space NN 39713 5982 15 ; ; : 39713 5982 16 space space NN 39713 5982 17 is be VBZ 39713 5982 18 in in IN 39713 5982 19 reality reality NN 39713 5982 20 amorphous amorphous JJ 39713 5982 21 and and CC 39713 5982 22 the the DT 39713 5982 23 things thing NNS 39713 5982 24 which which WDT 39713 5982 25 are be VBP 39713 5982 26 therein therein RB 39713 5982 27 alone alone RB 39713 5982 28 give give VB 39713 5982 29 it -PRON- PRP 39713 5982 30 a a DT 39713 5982 31 form form NN 39713 5982 32 . . . 39713 5983 1 What what WP 39713 5983 2 then then RB 39713 5983 3 should should MD 39713 5983 4 be be VB 39713 5983 5 thought think VBN 39713 5983 6 of of IN 39713 5983 7 that that DT 39713 5983 8 direct direct JJ 39713 5983 9 intuition intuition NN 39713 5983 10 we -PRON- PRP 39713 5983 11 should should MD 39713 5983 12 have have VB 39713 5983 13 of of IN 39713 5983 14 the the DT 39713 5983 15 straight straight JJ 39713 5983 16 or or CC 39713 5983 17 of of IN 39713 5983 18 distance distance NN 39713 5983 19 ? ? . 39713 5984 1 So so RB 39713 5984 2 little little JJ 39713 5984 3 have have VBP 39713 5984 4 we -PRON- PRP 39713 5984 5 intuition intuition NN 39713 5984 6 of of IN 39713 5984 7 distance distance NN 39713 5984 8 in in IN 39713 5984 9 itself -PRON- PRP 39713 5984 10 that that IN 39713 5984 11 in in IN 39713 5984 12 the the DT 39713 5984 13 night night NN 39713 5984 14 , , , 39713 5984 15 as as IN 39713 5984 16 we -PRON- PRP 39713 5984 17 have have VBP 39713 5984 18 said say VBD 39713 5984 19 , , , 39713 5984 20 a a DT 39713 5984 21 distance distance NN 39713 5984 22 might may MD 39713 5984 23 become become VB 39713 5984 24 a a DT 39713 5984 25 thousand thousand CD 39713 5984 26 times time NNS 39713 5984 27 greater great JJR 39713 5984 28 without without IN 39713 5984 29 our -PRON- PRP$ 39713 5984 30 being be VBG 39713 5984 31 able able JJ 39713 5984 32 to to TO 39713 5984 33 perceive perceive VB 39713 5984 34 it -PRON- PRP 39713 5984 35 , , , 39713 5984 36 if if IN 39713 5984 37 all all DT 39713 5984 38 other other JJ 39713 5984 39 distances distance NNS 39713 5984 40 had have VBD 39713 5984 41 undergone undergo VBN 39713 5984 42 the the DT 39713 5984 43 same same JJ 39713 5984 44 alteration alteration NN 39713 5984 45 . . . 39713 5985 1 And and CC 39713 5985 2 even even RB 39713 5985 3 in in IN 39713 5985 4 a a DT 39713 5985 5 night night NN 39713 5985 6 the the DT 39713 5985 7 world world NN 39713 5985 8 _ _ NNP 39713 5985 9 B B NNP 39713 5985 10 _ _ NNP 39713 5985 11 might may MD 39713 5985 12 be be VB 39713 5985 13 substituted substitute VBN 39713 5985 14 for for IN 39713 5985 15 the the DT 39713 5985 16 world world NN 39713 5985 17 _ _ NNP 39713 5985 18 A A NNP 39713 5985 19 _ _ NNP 39713 5985 20 without without IN 39713 5985 21 our -PRON- PRP$ 39713 5985 22 having have VBG 39713 5985 23 any any DT 39713 5985 24 way way NN 39713 5985 25 of of IN 39713 5985 26 knowing know VBG 39713 5985 27 it -PRON- PRP 39713 5985 28 , , , 39713 5985 29 and and CC 39713 5985 30 then then RB 39713 5985 31 the the DT 39713 5985 32 straight straight JJ 39713 5985 33 lines line NNS 39713 5985 34 of of IN 39713 5985 35 yesterday yesterday NN 39713 5985 36 would would MD 39713 5985 37 have have VB 39713 5985 38 ceased cease VBN 39713 5985 39 to to TO 39713 5985 40 be be VB 39713 5985 41 straight straight JJ 39713 5985 42 and and CC 39713 5985 43 we -PRON- PRP 39713 5985 44 should should MD 39713 5985 45 never never RB 39713 5985 46 notice notice VB 39713 5985 47 . . . 39713 5986 1 One one CD 39713 5986 2 part part NN 39713 5986 3 of of IN 39713 5986 4 space space NN 39713 5986 5 is be VBZ 39713 5986 6 not not RB 39713 5986 7 by by IN 39713 5986 8 itself -PRON- PRP 39713 5986 9 and and CC 39713 5986 10 in in IN 39713 5986 11 the the DT 39713 5986 12 absolute absolute JJ 39713 5986 13 sense sense NN 39713 5986 14 of of IN 39713 5986 15 the the DT 39713 5986 16 word word NN 39713 5986 17 equal equal JJ 39713 5986 18 to to IN 39713 5986 19 another another DT 39713 5986 20 part part NN 39713 5986 21 of of IN 39713 5986 22 space space NN 39713 5986 23 ; ; : 39713 5986 24 because because IN 39713 5986 25 if if IN 39713 5986 26 so so RB 39713 5986 27 it -PRON- PRP 39713 5986 28 is be VBZ 39713 5986 29 for for IN 39713 5986 30 us -PRON- PRP 39713 5986 31 , , , 39713 5986 32 it -PRON- PRP 39713 5986 33 would would MD 39713 5986 34 not not RB 39713 5986 35 be be VB 39713 5986 36 for for IN 39713 5986 37 the the DT 39713 5986 38 dwellers dweller NNS 39713 5986 39 in in IN 39713 5986 40 world world NN 39713 5986 41 _ _ NNP 39713 5986 42 B B NNP 39713 5986 43 _ _ NNP 39713 5986 44 ; ; : 39713 5986 45 and and CC 39713 5986 46 these these DT 39713 5986 47 have have VBP 39713 5986 48 just just RB 39713 5986 49 as as RB 39713 5986 50 much much JJ 39713 5986 51 right right NN 39713 5986 52 to to TO 39713 5986 53 reject reject VB 39713 5986 54 our -PRON- PRP$ 39713 5986 55 opinion opinion NN 39713 5986 56 as as IN 39713 5986 57 we -PRON- PRP 39713 5986 58 to to TO 39713 5986 59 condemn condemn VB 39713 5986 60 theirs -PRON- PRP 39713 5986 61 . . . 39713 5987 1 I -PRON- PRP 39713 5987 2 have have VBP 39713 5987 3 elsewhere elsewhere RB 39713 5987 4 shown show VBN 39713 5987 5 what what WP 39713 5987 6 are be VBP 39713 5987 7 the the DT 39713 5987 8 consequences consequence NNS 39713 5987 9 of of IN 39713 5987 10 these these DT 39713 5987 11 facts fact NNS 39713 5987 12 from from IN 39713 5987 13 the the DT 39713 5987 14 viewpoint viewpoint NN 39713 5987 15 of of IN 39713 5987 16 the the DT 39713 5987 17 idea idea NN 39713 5987 18 we -PRON- PRP 39713 5987 19 should should MD 39713 5987 20 form form VB 39713 5987 21 of of IN 39713 5987 22 non non JJ 39713 5987 23 - - JJ 39713 5987 24 Euclidean euclidean JJ 39713 5987 25 geometry geometry NN 39713 5987 26 and and CC 39713 5987 27 other other JJ 39713 5987 28 analogous analogous JJ 39713 5987 29 geometries geometry NNS 39713 5987 30 ; ; : 39713 5987 31 to to IN 39713 5987 32 that that DT 39713 5987 33 I -PRON- PRP 39713 5987 34 do do VBP 39713 5987 35 not not RB 39713 5987 36 care care VB 39713 5987 37 to to TO 39713 5987 38 return return VB 39713 5987 39 ; ; : 39713 5987 40 and and CC 39713 5987 41 to to IN 39713 5987 42 - - HYPH 39713 5987 43 day day NN 39713 5987 44 I -PRON- PRP 39713 5987 45 shall shall MD 39713 5987 46 take take VB 39713 5987 47 a a DT 39713 5987 48 somewhat somewhat RB 39713 5987 49 different different JJ 39713 5987 50 point point NN 39713 5987 51 of of IN 39713 5987 52 view view NN 39713 5987 53 . . . 39713 5988 1 II II NNP 39713 5988 2 If if IN 39713 5988 3 this this DT 39713 5988 4 intuition intuition NN 39713 5988 5 of of IN 39713 5988 6 distance distance NN 39713 5988 7 , , , 39713 5988 8 of of IN 39713 5988 9 direction direction NN 39713 5988 10 , , , 39713 5988 11 of of IN 39713 5988 12 the the DT 39713 5988 13 straight straight JJ 39713 5988 14 line line NN 39713 5988 15 , , , 39713 5988 16 if if IN 39713 5988 17 this this DT 39713 5988 18 direct direct JJ 39713 5988 19 intuition intuition NN 39713 5988 20 of of IN 39713 5988 21 space space NN 39713 5988 22 in in IN 39713 5988 23 a a DT 39713 5988 24 word word NN 39713 5988 25 does do VBZ 39713 5988 26 not not RB 39713 5988 27 exist exist VB 39713 5988 28 , , , 39713 5988 29 whence whence NN 39713 5988 30 comes come VBZ 39713 5988 31 our -PRON- PRP$ 39713 5988 32 belief belief NN 39713 5988 33 that that IN 39713 5988 34 we -PRON- PRP 39713 5988 35 have have VBP 39713 5988 36 it -PRON- PRP 39713 5988 37 ? ? . 39713 5989 1 If if IN 39713 5989 2 this this DT 39713 5989 3 is be VBZ 39713 5989 4 only only RB 39713 5989 5 an an DT 39713 5989 6 illusion illusion NN 39713 5989 7 , , , 39713 5989 8 why why WRB 39713 5989 9 is be VBZ 39713 5989 10 this this DT 39713 5989 11 illusion illusion NN 39713 5989 12 so so RB 39713 5989 13 tenacious tenacious JJ 39713 5989 14 ? ? . 39713 5990 1 It -PRON- PRP 39713 5990 2 is be VBZ 39713 5990 3 proper proper JJ 39713 5990 4 to to TO 39713 5990 5 examine examine VB 39713 5990 6 into into IN 39713 5990 7 this this DT 39713 5990 8 . . . 39713 5991 1 We -PRON- PRP 39713 5991 2 have have VBP 39713 5991 3 said say VBN 39713 5991 4 there there EX 39713 5991 5 is be VBZ 39713 5991 6 no no DT 39713 5991 7 direct direct JJ 39713 5991 8 intuition intuition NN 39713 5991 9 of of IN 39713 5991 10 size size NN 39713 5991 11 and and CC 39713 5991 12 we -PRON- PRP 39713 5991 13 can can MD 39713 5991 14 only only RB 39713 5991 15 arrive arrive VB 39713 5991 16 at at IN 39713 5991 17 the the DT 39713 5991 18 relation relation NN 39713 5991 19 of of IN 39713 5991 20 this this DT 39713 5991 21 magnitude magnitude NN 39713 5991 22 to to IN 39713 5991 23 our -PRON- PRP$ 39713 5991 24 instruments instrument NNS 39713 5991 25 of of IN 39713 5991 26 measure measure NN 39713 5991 27 . . . 39713 5992 1 We -PRON- PRP 39713 5992 2 should should MD 39713 5992 3 therefore therefore RB 39713 5992 4 not not RB 39713 5992 5 have have VB 39713 5992 6 been be VBN 39713 5992 7 able able JJ 39713 5992 8 to to TO 39713 5992 9 construct construct VB 39713 5992 10 space space NN 39713 5992 11 if if IN 39713 5992 12 we -PRON- PRP 39713 5992 13 had have VBD 39713 5992 14 not not RB 39713 5992 15 had have VBN 39713 5992 16 an an DT 39713 5992 17 instrument instrument NN 39713 5992 18 to to TO 39713 5992 19 measure measure VB 39713 5992 20 it -PRON- PRP 39713 5992 21 ; ; : 39713 5992 22 well well UH 39713 5992 23 , , , 39713 5992 24 this this DT 39713 5992 25 instrument instrument NN 39713 5992 26 to to TO 39713 5992 27 which which WDT 39713 5992 28 we -PRON- PRP 39713 5992 29 relate relate VBP 39713 5992 30 everything everything NN 39713 5992 31 , , , 39713 5992 32 which which WDT 39713 5992 33 we -PRON- PRP 39713 5992 34 use use VBP 39713 5992 35 instinctively instinctively RB 39713 5992 36 , , , 39713 5992 37 it -PRON- PRP 39713 5992 38 is be VBZ 39713 5992 39 our -PRON- PRP$ 39713 5992 40 own own JJ 39713 5992 41 body body NN 39713 5992 42 . . . 39713 5993 1 It -PRON- PRP 39713 5993 2 is be VBZ 39713 5993 3 in in IN 39713 5993 4 relation relation NN 39713 5993 5 to to IN 39713 5993 6 our -PRON- PRP$ 39713 5993 7 body body NN 39713 5993 8 that that WDT 39713 5993 9 we -PRON- PRP 39713 5993 10 place place VBP 39713 5993 11 exterior exterior NN 39713 5993 12 objects object NNS 39713 5993 13 , , , 39713 5993 14 and and CC 39713 5993 15 the the DT 39713 5993 16 only only JJ 39713 5993 17 spatial spatial JJ 39713 5993 18 relations relation NNS 39713 5993 19 of of IN 39713 5993 20 these these DT 39713 5993 21 objects object NNS 39713 5993 22 that that WDT 39713 5993 23 we -PRON- PRP 39713 5993 24 can can MD 39713 5993 25 represent represent VB 39713 5993 26 are be VBP 39713 5993 27 their -PRON- PRP$ 39713 5993 28 relations relation NNS 39713 5993 29 to to IN 39713 5993 30 our -PRON- PRP$ 39713 5993 31 body body NN 39713 5993 32 . . . 39713 5994 1 It -PRON- PRP 39713 5994 2 is be VBZ 39713 5994 3 our -PRON- PRP$ 39713 5994 4 body body NN 39713 5994 5 which which WDT 39713 5994 6 serves serve VBZ 39713 5994 7 us -PRON- PRP 39713 5994 8 , , , 39713 5994 9 so so RB 39713 5994 10 to to TO 39713 5994 11 speak speak VB 39713 5994 12 , , , 39713 5994 13 as as IN 39713 5994 14 system system NN 39713 5994 15 of of IN 39713 5994 16 axes axis NNS 39713 5994 17 of of IN 39713 5994 18 coordinates coordinate NNS 39713 5994 19 . . . 39713 5995 1 For for IN 39713 5995 2 example example NN 39713 5995 3 , , , 39713 5995 4 at at IN 39713 5995 5 an an DT 39713 5995 6 instant instant NN 39713 5995 7 [ [ -LRB- 39713 5995 8 alpha alpha NN 39713 5995 9 ] ] -RRB- 39713 5995 10 , , , 39713 5995 11 the the DT 39713 5995 12 presence presence NN 39713 5995 13 of of IN 39713 5995 14 the the DT 39713 5995 15 object object NN 39713 5995 16 _ _ NNP 39713 5995 17 A A NNP 39713 5995 18 _ _ NNP 39713 5995 19 is be VBZ 39713 5995 20 revealed reveal VBN 39713 5995 21 to to IN 39713 5995 22 me -PRON- PRP 39713 5995 23 by by IN 39713 5995 24 the the DT 39713 5995 25 sense sense NN 39713 5995 26 of of IN 39713 5995 27 sight sight NN 39713 5995 28 ; ; : 39713 5995 29 at at IN 39713 5995 30 another another DT 39713 5995 31 instant instant NN 39713 5995 32 , , , 39713 5995 33 [ [ -LRB- 39713 5995 34 beta beta NN 39713 5995 35 ] ] -RRB- 39713 5995 36 , , , 39713 5995 37 the the DT 39713 5995 38 presence presence NN 39713 5995 39 of of IN 39713 5995 40 another another DT 39713 5995 41 object object NN 39713 5995 42 , , , 39713 5995 43 _ _ NNP 39713 5995 44 B B NNP 39713 5995 45 _ _ NNP 39713 5995 46 , , , 39713 5995 47 is be VBZ 39713 5995 48 revealed reveal VBN 39713 5995 49 to to IN 39713 5995 50 me -PRON- PRP 39713 5995 51 by by IN 39713 5995 52 another another DT 39713 5995 53 sense sense NN 39713 5995 54 , , , 39713 5995 55 that that DT 39713 5995 56 of of IN 39713 5995 57 hearing hearing NN 39713 5995 58 or or CC 39713 5995 59 of of IN 39713 5995 60 touch touch NN 39713 5995 61 , , , 39713 5995 62 for for IN 39713 5995 63 instance instance NN 39713 5995 64 . . . 39713 5996 1 I -PRON- PRP 39713 5996 2 judge judge VBP 39713 5996 3 that that IN 39713 5996 4 this this DT 39713 5996 5 object object NN 39713 5996 6 _ _ NNP 39713 5996 7 B B NNP 39713 5996 8 _ _ NNP 39713 5996 9 occupies occupy VBZ 39713 5996 10 the the DT 39713 5996 11 same same JJ 39713 5996 12 place place NN 39713 5996 13 as as IN 39713 5996 14 the the DT 39713 5996 15 object object NN 39713 5996 16 _ _ NNP 39713 5996 17 A A NNP 39713 5996 18 _ _ NNP 39713 5996 19 . . . 39713 5997 1 What what WP 39713 5997 2 does do VBZ 39713 5997 3 that that DT 39713 5997 4 mean mean VB 39713 5997 5 ? ? . 39713 5998 1 First first RB 39713 5998 2 that that DT 39713 5998 3 does do VBZ 39713 5998 4 not not RB 39713 5998 5 signify signify VB 39713 5998 6 that that IN 39713 5998 7 these these DT 39713 5998 8 two two CD 39713 5998 9 objects object NNS 39713 5998 10 occupy occupy VBP 39713 5998 11 , , , 39713 5998 12 at at IN 39713 5998 13 two two CD 39713 5998 14 different different JJ 39713 5998 15 moments moment NNS 39713 5998 16 , , , 39713 5998 17 the the DT 39713 5998 18 same same JJ 39713 5998 19 point point NN 39713 5998 20 of of IN 39713 5998 21 an an DT 39713 5998 22 absolute absolute JJ 39713 5998 23 space space NN 39713 5998 24 , , , 39713 5998 25 which which WDT 39713 5998 26 even even RB 39713 5998 27 if if IN 39713 5998 28 it -PRON- PRP 39713 5998 29 existed exist VBD 39713 5998 30 would would MD 39713 5998 31 escape escape VB 39713 5998 32 our -PRON- PRP$ 39713 5998 33 cognition cognition NN 39713 5998 34 , , , 39713 5998 35 since since IN 39713 5998 36 , , , 39713 5998 37 between between IN 39713 5998 38 the the DT 39713 5998 39 instants instant NNS 39713 5998 40 [ [ -LRB- 39713 5998 41 alpha alpha NN 39713 5998 42 ] ] -RRB- 39713 5998 43 and and CC 39713 5998 44 [ [ -LRB- 39713 5998 45 beta beta NN 39713 5998 46 ] ] -RRB- 39713 5998 47 , , , 39713 5998 48 the the DT 39713 5998 49 solar solar JJ 39713 5998 50 system system NN 39713 5998 51 has have VBZ 39713 5998 52 moved move VBN 39713 5998 53 and and CC 39713 5998 54 we -PRON- PRP 39713 5998 55 can can MD 39713 5998 56 not not RB 39713 5998 57 know know VB 39713 5998 58 its -PRON- PRP$ 39713 5998 59 displacement displacement NN 39713 5998 60 . . . 39713 5999 1 That that DT 39713 5999 2 means mean VBZ 39713 5999 3 these these DT 39713 5999 4 two two CD 39713 5999 5 objects object NNS 39713 5999 6 occupy occupy VBP 39713 5999 7 the the DT 39713 5999 8 same same JJ 39713 5999 9 relative relative JJ 39713 5999 10 position position NN 39713 5999 11 with with IN 39713 5999 12 reference reference NN 39713 5999 13 to to IN 39713 5999 14 our -PRON- PRP$ 39713 5999 15 body body NN 39713 5999 16 . . . 39713 6000 1 But but CC 39713 6000 2 even even RB 39713 6000 3 this this DT 39713 6000 4 , , , 39713 6000 5 what what WP 39713 6000 6 does do VBZ 39713 6000 7 it -PRON- PRP 39713 6000 8 mean mean VB 39713 6000 9 ? ? . 39713 6001 1 The the DT 39713 6001 2 impressions impression NNS 39713 6001 3 that that WDT 39713 6001 4 have have VBP 39713 6001 5 come come VBN 39713 6001 6 to to IN 39713 6001 7 us -PRON- PRP 39713 6001 8 from from IN 39713 6001 9 these these DT 39713 6001 10 objects object NNS 39713 6001 11 have have VBP 39713 6001 12 followed follow VBN 39713 6001 13 paths path NNS 39713 6001 14 absolutely absolutely RB 39713 6001 15 different different JJ 39713 6001 16 , , , 39713 6001 17 the the DT 39713 6001 18 optic optic JJ 39713 6001 19 nerve nerve NN 39713 6001 20 for for IN 39713 6001 21 the the DT 39713 6001 22 object object NN 39713 6001 23 _ _ NNP 39713 6001 24 A A NNP 39713 6001 25 _ _ NNP 39713 6001 26 , , , 39713 6001 27 the the DT 39713 6001 28 acoustic acoustic JJ 39713 6001 29 nerve nerve NN 39713 6001 30 for for IN 39713 6001 31 the the DT 39713 6001 32 object object NN 39713 6001 33 _ _ NNP 39713 6001 34 B B NNP 39713 6001 35 _ _ NNP 39713 6001 36 . . . 39713 6002 1 They -PRON- PRP 39713 6002 2 have have VBP 39713 6002 3 nothing nothing NN 39713 6002 4 in in IN 39713 6002 5 common common JJ 39713 6002 6 from from IN 39713 6002 7 the the DT 39713 6002 8 qualitative qualitative JJ 39713 6002 9 point point NN 39713 6002 10 of of IN 39713 6002 11 view view NN 39713 6002 12 . . . 39713 6003 1 The the DT 39713 6003 2 representations representation NNS 39713 6003 3 we -PRON- PRP 39713 6003 4 are be VBP 39713 6003 5 able able JJ 39713 6003 6 to to TO 39713 6003 7 make make VB 39713 6003 8 of of IN 39713 6003 9 these these DT 39713 6003 10 two two CD 39713 6003 11 objects object NNS 39713 6003 12 are be VBP 39713 6003 13 absolutely absolutely RB 39713 6003 14 heterogeneous heterogeneous JJ 39713 6003 15 , , , 39713 6003 16 irreducible irreducible JJ 39713 6003 17 one one CD 39713 6003 18 to to IN 39713 6003 19 the the DT 39713 6003 20 other other JJ 39713 6003 21 . . . 39713 6004 1 Only only RB 39713 6004 2 I -PRON- PRP 39713 6004 3 know know VBP 39713 6004 4 that that DT 39713 6004 5 to to TO 39713 6004 6 reach reach VB 39713 6004 7 the the DT 39713 6004 8 object object NN 39713 6004 9 _ _ NNP 39713 6004 10 A A NNP 39713 6004 11 _ _ NNP 39713 6004 12 I -PRON- PRP 39713 6004 13 have have VBP 39713 6004 14 just just RB 39713 6004 15 to to TO 39713 6004 16 extend extend VB 39713 6004 17 the the DT 39713 6004 18 right right JJ 39713 6004 19 arm arm NN 39713 6004 20 in in IN 39713 6004 21 a a DT 39713 6004 22 certain certain JJ 39713 6004 23 way way NN 39713 6004 24 ; ; : 39713 6004 25 even even RB 39713 6004 26 when when WRB 39713 6004 27 I -PRON- PRP 39713 6004 28 abstain abstain VBP 39713 6004 29 from from IN 39713 6004 30 doing do VBG 39713 6004 31 it -PRON- PRP 39713 6004 32 , , , 39713 6004 33 I -PRON- PRP 39713 6004 34 represent represent VBP 39713 6004 35 to to IN 39713 6004 36 myself -PRON- PRP 39713 6004 37 the the DT 39713 6004 38 muscular muscular JJ 39713 6004 39 sensations sensation NNS 39713 6004 40 and and CC 39713 6004 41 other other JJ 39713 6004 42 analogous analogous JJ 39713 6004 43 sensations sensation NNS 39713 6004 44 which which WDT 39713 6004 45 would would MD 39713 6004 46 accompany accompany VB 39713 6004 47 this this DT 39713 6004 48 extension extension NN 39713 6004 49 , , , 39713 6004 50 and and CC 39713 6004 51 this this DT 39713 6004 52 representation representation NN 39713 6004 53 is be VBZ 39713 6004 54 associated associate VBN 39713 6004 55 with with IN 39713 6004 56 that that DT 39713 6004 57 of of IN 39713 6004 58 the the DT 39713 6004 59 object object NN 39713 6004 60 _ _ NNP 39713 6004 61 A A NNP 39713 6004 62 _ _ NNP 39713 6004 63 . . . 39713 6005 1 Now now RB 39713 6005 2 , , , 39713 6005 3 I -PRON- PRP 39713 6005 4 likewise likewise RB 39713 6005 5 know know VBP 39713 6005 6 I -PRON- PRP 39713 6005 7 can can MD 39713 6005 8 reach reach VB 39713 6005 9 the the DT 39713 6005 10 object object NN 39713 6005 11 _ _ NNP 39713 6005 12 B B NNP 39713 6005 13 _ _ NNP 39713 6005 14 by by IN 39713 6005 15 extending extend VBG 39713 6005 16 my -PRON- PRP$ 39713 6005 17 right right JJ 39713 6005 18 arm arm NN 39713 6005 19 in in IN 39713 6005 20 the the DT 39713 6005 21 same same JJ 39713 6005 22 manner manner NN 39713 6005 23 , , , 39713 6005 24 an an DT 39713 6005 25 extension extension NN 39713 6005 26 accompanied accompany VBN 39713 6005 27 by by IN 39713 6005 28 the the DT 39713 6005 29 same same JJ 39713 6005 30 train train NN 39713 6005 31 of of IN 39713 6005 32 muscular muscular JJ 39713 6005 33 sensations sensation NNS 39713 6005 34 . . . 39713 6006 1 And and CC 39713 6006 2 when when WRB 39713 6006 3 I -PRON- PRP 39713 6006 4 say say VBP 39713 6006 5 these these DT 39713 6006 6 two two CD 39713 6006 7 objects object NNS 39713 6006 8 occupy occupy VBP 39713 6006 9 the the DT 39713 6006 10 same same JJ 39713 6006 11 place place NN 39713 6006 12 , , , 39713 6006 13 I -PRON- PRP 39713 6006 14 mean mean VBP 39713 6006 15 nothing nothing NN 39713 6006 16 more more JJR 39713 6006 17 . . . 39713 6007 1 I -PRON- PRP 39713 6007 2 also also RB 39713 6007 3 know know VBP 39713 6007 4 I -PRON- PRP 39713 6007 5 could could MD 39713 6007 6 have have VB 39713 6007 7 reached reach VBN 39713 6007 8 the the DT 39713 6007 9 object object NN 39713 6007 10 _ _ NNP 39713 6007 11 A A NNP 39713 6007 12 _ _ NNP 39713 6007 13 by by IN 39713 6007 14 another another DT 39713 6007 15 appropriate appropriate JJ 39713 6007 16 motion motion NN 39713 6007 17 of of IN 39713 6007 18 the the DT 39713 6007 19 left left JJ 39713 6007 20 arm arm NN 39713 6007 21 and and CC 39713 6007 22 I -PRON- PRP 39713 6007 23 represent represent VBP 39713 6007 24 to to IN 39713 6007 25 myself -PRON- PRP 39713 6007 26 the the DT 39713 6007 27 muscular muscular JJ 39713 6007 28 sensations sensation NNS 39713 6007 29 which which WDT 39713 6007 30 would would MD 39713 6007 31 have have VB 39713 6007 32 accompanied accompany VBN 39713 6007 33 this this DT 39713 6007 34 movement movement NN 39713 6007 35 ; ; : 39713 6007 36 and and CC 39713 6007 37 by by IN 39713 6007 38 this this DT 39713 6007 39 same same JJ 39713 6007 40 motion motion NN 39713 6007 41 of of IN 39713 6007 42 the the DT 39713 6007 43 left left JJ 39713 6007 44 arm arm NN 39713 6007 45 , , , 39713 6007 46 accompanied accompany VBN 39713 6007 47 by by IN 39713 6007 48 the the DT 39713 6007 49 same same JJ 39713 6007 50 sensations sensation NNS 39713 6007 51 , , , 39713 6007 52 I -PRON- PRP 39713 6007 53 likewise likewise RB 39713 6007 54 could could MD 39713 6007 55 have have VB 39713 6007 56 reached reach VBN 39713 6007 57 the the DT 39713 6007 58 object object NN 39713 6007 59 _ _ NNP 39713 6007 60 B B NNP 39713 6007 61 _ _ NNP 39713 6007 62 . . . 39713 6008 1 And and CC 39713 6008 2 that that DT 39713 6008 3 is be VBZ 39713 6008 4 very very RB 39713 6008 5 important important JJ 39713 6008 6 , , , 39713 6008 7 since since IN 39713 6008 8 thus thus RB 39713 6008 9 I -PRON- PRP 39713 6008 10 can can MD 39713 6008 11 defend defend VB 39713 6008 12 myself -PRON- PRP 39713 6008 13 against against IN 39713 6008 14 dangers danger NNS 39713 6008 15 menacing menace VBG 39713 6008 16 me -PRON- PRP 39713 6008 17 from from IN 39713 6008 18 the the DT 39713 6008 19 object object NN 39713 6008 20 _ _ NNP 39713 6008 21 A A NNP 39713 6008 22 _ _ NNP 39713 6008 23 or or CC 39713 6008 24 the the DT 39713 6008 25 object object NN 39713 6008 26 _ _ NNP 39713 6008 27 B B NNP 39713 6008 28 _ _ NNP 39713 6008 29 . . . 39713 6009 1 With with IN 39713 6009 2 each each DT 39713 6009 3 of of IN 39713 6009 4 the the DT 39713 6009 5 blows blow NNS 39713 6009 6 we -PRON- PRP 39713 6009 7 can can MD 39713 6009 8 be be VB 39713 6009 9 hit hit VBN 39713 6009 10 , , , 39713 6009 11 nature nature NN 39713 6009 12 has have VBZ 39713 6009 13 associated associate VBN 39713 6009 14 one one CD 39713 6009 15 or or CC 39713 6009 16 more more JJR 39713 6009 17 parries parry NNS 39713 6009 18 which which WDT 39713 6009 19 permit permit VBP 39713 6009 20 of of IN 39713 6009 21 our -PRON- PRP$ 39713 6009 22 guarding guard VBG 39713 6009 23 ourselves -PRON- PRP 39713 6009 24 . . . 39713 6010 1 The the DT 39713 6010 2 same same JJ 39713 6010 3 parry parry NN 39713 6010 4 may may MD 39713 6010 5 respond respond VB 39713 6010 6 to to IN 39713 6010 7 several several JJ 39713 6010 8 strokes stroke NNS 39713 6010 9 ; ; : 39713 6010 10 and and CC 39713 6010 11 so so RB 39713 6010 12 it -PRON- PRP 39713 6010 13 is be VBZ 39713 6010 14 , , , 39713 6010 15 for for IN 39713 6010 16 instance instance NN 39713 6010 17 , , , 39713 6010 18 that that IN 39713 6010 19 the the DT 39713 6010 20 same same JJ 39713 6010 21 motion motion NN 39713 6010 22 of of IN 39713 6010 23 the the DT 39713 6010 24 right right JJ 39713 6010 25 arm arm NN 39713 6010 26 would would MD 39713 6010 27 have have VB 39713 6010 28 allowed allow VBN 39713 6010 29 us -PRON- PRP 39713 6010 30 to to TO 39713 6010 31 guard guard VB 39713 6010 32 at at IN 39713 6010 33 the the DT 39713 6010 34 instant instant NN 39713 6010 35 [ [ -LRB- 39713 6010 36 alpha alpha NN 39713 6010 37 ] ] -RRB- 39713 6010 38 against against IN 39713 6010 39 the the DT 39713 6010 40 object object NN 39713 6010 41 _ _ NNP 39713 6010 42 A A NNP 39713 6010 43 _ _ NNP 39713 6010 44 and and CC 39713 6010 45 at at IN 39713 6010 46 the the DT 39713 6010 47 instant instant NN 39713 6010 48 [ [ -LRB- 39713 6010 49 beta beta NN 39713 6010 50 ] ] -RRB- 39713 6010 51 against against IN 39713 6010 52 the the DT 39713 6010 53 object object NN 39713 6010 54 _ _ NNP 39713 6010 55 B B NNP 39713 6010 56 _ _ NNP 39713 6010 57 . . . 39713 6011 1 Just just RB 39713 6011 2 so so RB 39713 6011 3 , , , 39713 6011 4 the the DT 39713 6011 5 same same JJ 39713 6011 6 stroke stroke NN 39713 6011 7 can can MD 39713 6011 8 be be VB 39713 6011 9 parried parry VBN 39713 6011 10 in in IN 39713 6011 11 several several JJ 39713 6011 12 ways way NNS 39713 6011 13 , , , 39713 6011 14 and and CC 39713 6011 15 we -PRON- PRP 39713 6011 16 have have VBP 39713 6011 17 said say VBD 39713 6011 18 , , , 39713 6011 19 for for IN 39713 6011 20 instance instance NN 39713 6011 21 , , , 39713 6011 22 the the DT 39713 6011 23 object object NN 39713 6011 24 _ _ NNP 39713 6011 25 A A NNP 39713 6011 26 _ _ NNP 39713 6011 27 could could MD 39713 6011 28 be be VB 39713 6011 29 reached reach VBN 39713 6011 30 indifferently indifferently RB 39713 6011 31 either either CC 39713 6011 32 by by IN 39713 6011 33 a a DT 39713 6011 34 certain certain JJ 39713 6011 35 movement movement NN 39713 6011 36 of of IN 39713 6011 37 the the DT 39713 6011 38 right right JJ 39713 6011 39 arm arm NN 39713 6011 40 or or CC 39713 6011 41 by by IN 39713 6011 42 a a DT 39713 6011 43 certain certain JJ 39713 6011 44 movement movement NN 39713 6011 45 of of IN 39713 6011 46 the the DT 39713 6011 47 left left JJ 39713 6011 48 arm arm NN 39713 6011 49 . . . 39713 6012 1 All all PDT 39713 6012 2 these these DT 39713 6012 3 parries parry NNS 39713 6012 4 have have VBP 39713 6012 5 nothing nothing NN 39713 6012 6 in in IN 39713 6012 7 common common JJ 39713 6012 8 except except IN 39713 6012 9 warding ward VBG 39713 6012 10 off off RP 39713 6012 11 the the DT 39713 6012 12 same same JJ 39713 6012 13 blow blow NN 39713 6012 14 , , , 39713 6012 15 and and CC 39713 6012 16 this this DT 39713 6012 17 it -PRON- PRP 39713 6012 18 is be VBZ 39713 6012 19 , , , 39713 6012 20 and and CC 39713 6012 21 nothing nothing NN 39713 6012 22 else else RB 39713 6012 23 , , , 39713 6012 24 which which WDT 39713 6012 25 is be VBZ 39713 6012 26 meant mean VBN 39713 6012 27 when when WRB 39713 6012 28 we -PRON- PRP 39713 6012 29 say say VBP 39713 6012 30 they -PRON- PRP 39713 6012 31 are be VBP 39713 6012 32 movements movement NNS 39713 6012 33 terminating terminate VBG 39713 6012 34 at at IN 39713 6012 35 the the DT 39713 6012 36 same same JJ 39713 6012 37 point point NN 39713 6012 38 of of IN 39713 6012 39 space space NN 39713 6012 40 . . . 39713 6013 1 Just just RB 39713 6013 2 so so RB 39713 6013 3 , , , 39713 6013 4 these these DT 39713 6013 5 objects object NNS 39713 6013 6 , , , 39713 6013 7 of of IN 39713 6013 8 which which WDT 39713 6013 9 we -PRON- PRP 39713 6013 10 say say VBP 39713 6013 11 they -PRON- PRP 39713 6013 12 occupy occupy VBP 39713 6013 13 the the DT 39713 6013 14 same same JJ 39713 6013 15 point point NN 39713 6013 16 of of IN 39713 6013 17 space space NN 39713 6013 18 , , , 39713 6013 19 have have VBP 39713 6013 20 nothing nothing NN 39713 6013 21 in in IN 39713 6013 22 common common JJ 39713 6013 23 , , , 39713 6013 24 except except IN 39713 6013 25 that that IN 39713 6013 26 the the DT 39713 6013 27 same same JJ 39713 6013 28 parry parry NN 39713 6013 29 guards guard VBZ 39713 6013 30 against against IN 39713 6013 31 them -PRON- PRP 39713 6013 32 . . . 39713 6014 1 Or or CC 39713 6014 2 , , , 39713 6014 3 if if IN 39713 6014 4 you -PRON- PRP 39713 6014 5 choose choose VBP 39713 6014 6 , , , 39713 6014 7 imagine imagine VB 39713 6014 8 innumerable innumerable JJ 39713 6014 9 telegraph telegraph NN 39713 6014 10 wires wire NNS 39713 6014 11 , , , 39713 6014 12 some some DT 39713 6014 13 centripetal centripetal NN 39713 6014 14 , , , 39713 6014 15 others other NNS 39713 6014 16 centrifugal centrifugal JJ 39713 6014 17 . . . 39713 6015 1 The the DT 39713 6015 2 centripetal centripetal JJ 39713 6015 3 wires wire NNS 39713 6015 4 warn warn VBP 39713 6015 5 us -PRON- PRP 39713 6015 6 of of IN 39713 6015 7 accidents accident NNS 39713 6015 8 happening happen VBG 39713 6015 9 without without IN 39713 6015 10 ; ; : 39713 6015 11 the the DT 39713 6015 12 centrifugal centrifugal JJ 39713 6015 13 wires wire NNS 39713 6015 14 carry carry VBP 39713 6015 15 the the DT 39713 6015 16 reparation reparation NN 39713 6015 17 . . . 39713 6016 1 Connections connection NNS 39713 6016 2 are be VBP 39713 6016 3 so so RB 39713 6016 4 established establish VBN 39713 6016 5 that that IN 39713 6016 6 when when WRB 39713 6016 7 a a DT 39713 6016 8 centripetal centripetal JJ 39713 6016 9 wire wire NN 39713 6016 10 is be VBZ 39713 6016 11 traversed traverse VBN 39713 6016 12 by by IN 39713 6016 13 a a DT 39713 6016 14 current current NN 39713 6016 15 this this DT 39713 6016 16 acts act VBZ 39713 6016 17 on on IN 39713 6016 18 a a DT 39713 6016 19 relay relay NN 39713 6016 20 and and CC 39713 6016 21 so so RB 39713 6016 22 starts start VBZ 39713 6016 23 a a DT 39713 6016 24 current current NN 39713 6016 25 in in IN 39713 6016 26 one one CD 39713 6016 27 of of IN 39713 6016 28 the the DT 39713 6016 29 centrifugal centrifugal JJ 39713 6016 30 wires wire NNS 39713 6016 31 , , , 39713 6016 32 and and CC 39713 6016 33 things thing NNS 39713 6016 34 are be VBP 39713 6016 35 so so RB 39713 6016 36 arranged arrange VBN 39713 6016 37 that that IN 39713 6016 38 several several JJ 39713 6016 39 centripetal centripetal JJ 39713 6016 40 wires wire NNS 39713 6016 41 may may MD 39713 6016 42 act act VB 39713 6016 43 on on IN 39713 6016 44 the the DT 39713 6016 45 same same JJ 39713 6016 46 centrifugal centrifugal JJ 39713 6016 47 wire wire NN 39713 6016 48 if if IN 39713 6016 49 the the DT 39713 6016 50 same same JJ 39713 6016 51 remedy remedy NN 39713 6016 52 suits suit VBZ 39713 6016 53 several several JJ 39713 6016 54 ills ill NNS 39713 6016 55 , , , 39713 6016 56 and and CC 39713 6016 57 that that IN 39713 6016 58 a a DT 39713 6016 59 centripetal centripetal JJ 39713 6016 60 wire wire NN 39713 6016 61 may may MD 39713 6016 62 agitate agitate VB 39713 6016 63 different different JJ 39713 6016 64 centrifugal centrifugal JJ 39713 6016 65 wires wire NNS 39713 6016 66 , , , 39713 6016 67 either either CC 39713 6016 68 simultaneously simultaneously RB 39713 6016 69 or or CC 39713 6016 70 in in IN 39713 6016 71 lieu lieu NN 39713 6016 72 one one CD 39713 6016 73 of of IN 39713 6016 74 the the DT 39713 6016 75 other other JJ 39713 6016 76 when when WRB 39713 6016 77 the the DT 39713 6016 78 same same JJ 39713 6016 79 ill ill NNP 39713 6016 80 may may MD 39713 6016 81 be be VB 39713 6016 82 cured cure VBN 39713 6016 83 by by IN 39713 6016 84 several several JJ 39713 6016 85 remedies remedy NNS 39713 6016 86 . . . 39713 6017 1 It -PRON- PRP 39713 6017 2 is be VBZ 39713 6017 3 this this DT 39713 6017 4 complex complex JJ 39713 6017 5 system system NN 39713 6017 6 of of IN 39713 6017 7 associations association NNS 39713 6017 8 , , , 39713 6017 9 it -PRON- PRP 39713 6017 10 is be VBZ 39713 6017 11 this this DT 39713 6017 12 table table NN 39713 6017 13 of of IN 39713 6017 14 distribution distribution NN 39713 6017 15 , , , 39713 6017 16 so so RB 39713 6017 17 to to TO 39713 6017 18 speak speak VB 39713 6017 19 , , , 39713 6017 20 which which WDT 39713 6017 21 is be VBZ 39713 6017 22 all all DT 39713 6017 23 our -PRON- PRP$ 39713 6017 24 geometry geometry NN 39713 6017 25 or or CC 39713 6017 26 , , , 39713 6017 27 if if IN 39713 6017 28 you -PRON- PRP 39713 6017 29 wish wish VBP 39713 6017 30 , , , 39713 6017 31 all all DT 39713 6017 32 in in IN 39713 6017 33 our -PRON- PRP$ 39713 6017 34 geometry geometry NN 39713 6017 35 that that WDT 39713 6017 36 is be VBZ 39713 6017 37 instinctive instinctive JJ 39713 6017 38 . . . 39713 6018 1 What what WP 39713 6018 2 we -PRON- PRP 39713 6018 3 call call VBP 39713 6018 4 our -PRON- PRP$ 39713 6018 5 intuition intuition NN 39713 6018 6 of of IN 39713 6018 7 the the DT 39713 6018 8 straight straight JJ 39713 6018 9 line line NN 39713 6018 10 or or CC 39713 6018 11 of of IN 39713 6018 12 distance distance NN 39713 6018 13 is be VBZ 39713 6018 14 the the DT 39713 6018 15 consciousness consciousness NN 39713 6018 16 we -PRON- PRP 39713 6018 17 have have VBP 39713 6018 18 of of IN 39713 6018 19 these these DT 39713 6018 20 associations association NNS 39713 6018 21 and and CC 39713 6018 22 of of IN 39713 6018 23 their -PRON- PRP$ 39713 6018 24 imperious imperious JJ 39713 6018 25 character character NN 39713 6018 26 . . . 39713 6019 1 And and CC 39713 6019 2 it -PRON- PRP 39713 6019 3 is be VBZ 39713 6019 4 easy easy JJ 39713 6019 5 to to TO 39713 6019 6 understand understand VB 39713 6019 7 whence whence NN 39713 6019 8 comes come VBZ 39713 6019 9 this this DT 39713 6019 10 imperious imperious JJ 39713 6019 11 character character NN 39713 6019 12 itself -PRON- PRP 39713 6019 13 . . . 39713 6020 1 An an DT 39713 6020 2 association association NN 39713 6020 3 will will MD 39713 6020 4 seem seem VB 39713 6020 5 to to IN 39713 6020 6 us -PRON- PRP 39713 6020 7 by by IN 39713 6020 8 so so RB 39713 6020 9 much much RB 39713 6020 10 the the DT 39713 6020 11 more more RBR 39713 6020 12 indestructible indestructible JJ 39713 6020 13 as as IN 39713 6020 14 it -PRON- PRP 39713 6020 15 is be VBZ 39713 6020 16 more more RBR 39713 6020 17 ancient ancient JJ 39713 6020 18 . . . 39713 6021 1 But but CC 39713 6021 2 these these DT 39713 6021 3 associations association NNS 39713 6021 4 are be VBP 39713 6021 5 not not RB 39713 6021 6 , , , 39713 6021 7 for for IN 39713 6021 8 the the DT 39713 6021 9 most most JJS 39713 6021 10 part part NN 39713 6021 11 , , , 39713 6021 12 conquests conquest NNS 39713 6021 13 of of IN 39713 6021 14 the the DT 39713 6021 15 individual individual NN 39713 6021 16 , , , 39713 6021 17 since since IN 39713 6021 18 their -PRON- PRP$ 39713 6021 19 trace trace NN 39713 6021 20 is be VBZ 39713 6021 21 seen see VBN 39713 6021 22 in in IN 39713 6021 23 the the DT 39713 6021 24 new new RB 39713 6021 25 - - HYPH 39713 6021 26 born bear VBN 39713 6021 27 babe babe NN 39713 6021 28 : : : 39713 6021 29 they -PRON- PRP 39713 6021 30 are be VBP 39713 6021 31 conquests conquest NNS 39713 6021 32 of of IN 39713 6021 33 the the DT 39713 6021 34 race race NN 39713 6021 35 . . . 39713 6022 1 Natural natural JJ 39713 6022 2 selection selection NN 39713 6022 3 had have VBD 39713 6022 4 to to TO 39713 6022 5 bring bring VB 39713 6022 6 about about RP 39713 6022 7 these these DT 39713 6022 8 conquests conquest NNS 39713 6022 9 by by IN 39713 6022 10 so so RB 39713 6022 11 much much RB 39713 6022 12 the the DT 39713 6022 13 more more RBR 39713 6022 14 quickly quickly RB 39713 6022 15 as as IN 39713 6022 16 they -PRON- PRP 39713 6022 17 were be VBD 39713 6022 18 the the DT 39713 6022 19 more more RBR 39713 6022 20 necessary necessary JJ 39713 6022 21 . . . 39713 6023 1 On on IN 39713 6023 2 this this DT 39713 6023 3 account account NN 39713 6023 4 , , , 39713 6023 5 those those DT 39713 6023 6 of of IN 39713 6023 7 which which WDT 39713 6023 8 we -PRON- PRP 39713 6023 9 speak speak VBP 39713 6023 10 must must MD 39713 6023 11 have have VB 39713 6023 12 been be VBN 39713 6023 13 of of IN 39713 6023 14 the the DT 39713 6023 15 earliest early JJS 39713 6023 16 in in IN 39713 6023 17 date date NN 39713 6023 18 , , , 39713 6023 19 since since IN 39713 6023 20 without without IN 39713 6023 21 them -PRON- PRP 39713 6023 22 the the DT 39713 6023 23 defense defense NN 39713 6023 24 of of IN 39713 6023 25 the the DT 39713 6023 26 organism organism NN 39713 6023 27 would would MD 39713 6023 28 have have VB 39713 6023 29 been be VBN 39713 6023 30 impossible impossible JJ 39713 6023 31 . . . 39713 6024 1 From from IN 39713 6024 2 the the DT 39713 6024 3 time time NN 39713 6024 4 when when WRB 39713 6024 5 the the DT 39713 6024 6 cellules cellule NNS 39713 6024 7 were be VBD 39713 6024 8 no no RB 39713 6024 9 longer long RBR 39713 6024 10 merely merely RB 39713 6024 11 juxtaposed juxtapose VBN 39713 6024 12 , , , 39713 6024 13 but but CC 39713 6024 14 were be VBD 39713 6024 15 called call VBN 39713 6024 16 upon upon IN 39713 6024 17 to to TO 39713 6024 18 give give VB 39713 6024 19 mutual mutual JJ 39713 6024 20 aid aid NN 39713 6024 21 , , , 39713 6024 22 it -PRON- PRP 39713 6024 23 was be VBD 39713 6024 24 needful needful JJ 39713 6024 25 that that IN 39713 6024 26 a a DT 39713 6024 27 mechanism mechanism NN 39713 6024 28 organize organize NN 39713 6024 29 analogous analogous JJ 39713 6024 30 to to IN 39713 6024 31 what what WP 39713 6024 32 we -PRON- PRP 39713 6024 33 have have VBP 39713 6024 34 described describe VBN 39713 6024 35 , , , 39713 6024 36 so so IN 39713 6024 37 that that IN 39713 6024 38 this this DT 39713 6024 39 aid aid NN 39713 6024 40 miss miss VBP 39713 6024 41 not not RB 39713 6024 42 its -PRON- PRP$ 39713 6024 43 way way NN 39713 6024 44 , , , 39713 6024 45 but but CC 39713 6024 46 forestall forestall VB 39713 6024 47 the the DT 39713 6024 48 peril peril NN 39713 6024 49 . . . 39713 6025 1 When when WRB 39713 6025 2 a a DT 39713 6025 3 frog frog NN 39713 6025 4 is be VBZ 39713 6025 5 decapitated decapitate VBN 39713 6025 6 , , , 39713 6025 7 and and CC 39713 6025 8 a a DT 39713 6025 9 drop drop NN 39713 6025 10 of of IN 39713 6025 11 acid acid NN 39713 6025 12 is be VBZ 39713 6025 13 placed place VBN 39713 6025 14 on on IN 39713 6025 15 a a DT 39713 6025 16 point point NN 39713 6025 17 of of IN 39713 6025 18 its -PRON- PRP$ 39713 6025 19 skin skin NN 39713 6025 20 , , , 39713 6025 21 it -PRON- PRP 39713 6025 22 seeks seek VBZ 39713 6025 23 to to TO 39713 6025 24 wipe wipe VB 39713 6025 25 off off RP 39713 6025 26 the the DT 39713 6025 27 acid acid NN 39713 6025 28 with with IN 39713 6025 29 the the DT 39713 6025 30 nearest near JJS 39713 6025 31 foot foot NN 39713 6025 32 , , , 39713 6025 33 and and CC 39713 6025 34 , , , 39713 6025 35 if if IN 39713 6025 36 this this DT 39713 6025 37 foot foot NN 39713 6025 38 be be VB 39713 6025 39 amputated amputate VBN 39713 6025 40 , , , 39713 6025 41 it -PRON- PRP 39713 6025 42 sweeps sweep VBZ 39713 6025 43 it -PRON- PRP 39713 6025 44 off off RP 39713 6025 45 with with IN 39713 6025 46 the the DT 39713 6025 47 foot foot NN 39713 6025 48 of of IN 39713 6025 49 the the DT 39713 6025 50 opposite opposite JJ 39713 6025 51 side side NN 39713 6025 52 . . . 39713 6026 1 There there RB 39713 6026 2 we -PRON- PRP 39713 6026 3 have have VBP 39713 6026 4 the the DT 39713 6026 5 double double JJ 39713 6026 6 parry parry NN 39713 6026 7 of of IN 39713 6026 8 which which WDT 39713 6026 9 I -PRON- PRP 39713 6026 10 have have VBP 39713 6026 11 just just RB 39713 6026 12 spoken speak VBN 39713 6026 13 , , , 39713 6026 14 allowing allow VBG 39713 6026 15 the the DT 39713 6026 16 combating combating NN 39713 6026 17 of of IN 39713 6026 18 an an DT 39713 6026 19 ill ill JJ 39713 6026 20 by by IN 39713 6026 21 a a DT 39713 6026 22 second second JJ 39713 6026 23 remedy remedy NN 39713 6026 24 , , , 39713 6026 25 if if IN 39713 6026 26 the the DT 39713 6026 27 first first JJ 39713 6026 28 fails fail VBZ 39713 6026 29 . . . 39713 6027 1 And and CC 39713 6027 2 it -PRON- PRP 39713 6027 3 is be VBZ 39713 6027 4 this this DT 39713 6027 5 multiplicity multiplicity NN 39713 6027 6 of of IN 39713 6027 7 parries parry NNS 39713 6027 8 , , , 39713 6027 9 and and CC 39713 6027 10 the the DT 39713 6027 11 resulting result VBG 39713 6027 12 coordination coordination NN 39713 6027 13 , , , 39713 6027 14 which which WDT 39713 6027 15 is be VBZ 39713 6027 16 space space NN 39713 6027 17 . . . 39713 6028 1 We -PRON- PRP 39713 6028 2 see see VBP 39713 6028 3 to to IN 39713 6028 4 what what WDT 39713 6028 5 depths depth NNS 39713 6028 6 of of IN 39713 6028 7 the the DT 39713 6028 8 unconscious unconscious JJ 39713 6028 9 we -PRON- PRP 39713 6028 10 must must MD 39713 6028 11 descend descend VB 39713 6028 12 to to TO 39713 6028 13 find find VB 39713 6028 14 the the DT 39713 6028 15 first first JJ 39713 6028 16 traces trace NNS 39713 6028 17 of of IN 39713 6028 18 these these DT 39713 6028 19 spatial spatial JJ 39713 6028 20 associations association NNS 39713 6028 21 , , , 39713 6028 22 since since IN 39713 6028 23 only only RB 39713 6028 24 the the DT 39713 6028 25 inferior inferior JJ 39713 6028 26 parts part NNS 39713 6028 27 of of IN 39713 6028 28 the the DT 39713 6028 29 nervous nervous JJ 39713 6028 30 system system NN 39713 6028 31 are be VBP 39713 6028 32 involved involve VBN 39713 6028 33 . . . 39713 6029 1 Why why WRB 39713 6029 2 be be VB 39713 6029 3 astonished astonish VBN 39713 6029 4 then then RB 39713 6029 5 at at IN 39713 6029 6 the the DT 39713 6029 7 resistance resistance NN 39713 6029 8 we -PRON- PRP 39713 6029 9 oppose oppose VBP 39713 6029 10 to to IN 39713 6029 11 every every DT 39713 6029 12 attempt attempt NN 39713 6029 13 made make VBN 39713 6029 14 to to TO 39713 6029 15 dissociate dissociate VB 39713 6029 16 what what WP 39713 6029 17 so so RB 39713 6029 18 long long RB 39713 6029 19 has have VBZ 39713 6029 20 been be VBN 39713 6029 21 associated associate VBN 39713 6029 22 ? ? . 39713 6030 1 Now now RB 39713 6030 2 , , , 39713 6030 3 it -PRON- PRP 39713 6030 4 is be VBZ 39713 6030 5 just just RB 39713 6030 6 this this DT 39713 6030 7 resistance resistance NN 39713 6030 8 that that WDT 39713 6030 9 we -PRON- PRP 39713 6030 10 call call VBP 39713 6030 11 the the DT 39713 6030 12 evidence evidence NN 39713 6030 13 for for IN 39713 6030 14 the the DT 39713 6030 15 geometric geometric JJ 39713 6030 16 truths truth NNS 39713 6030 17 ; ; : 39713 6030 18 this this DT 39713 6030 19 evidence evidence NN 39713 6030 20 is be VBZ 39713 6030 21 nothing nothing NN 39713 6030 22 but but IN 39713 6030 23 the the DT 39713 6030 24 repugnance repugnance NN 39713 6030 25 we -PRON- PRP 39713 6030 26 feel feel VBP 39713 6030 27 toward toward IN 39713 6030 28 breaking break VBG 39713 6030 29 with with IN 39713 6030 30 very very RB 39713 6030 31 old old JJ 39713 6030 32 habits habit NNS 39713 6030 33 which which WDT 39713 6030 34 have have VBP 39713 6030 35 always always RB 39713 6030 36 proved prove VBN 39713 6030 37 good good JJ 39713 6030 38 . . . 39713 6031 1 III iii CD 39713 6031 2 The the DT 39713 6031 3 space space NN 39713 6031 4 so so RB 39713 6031 5 created create VBN 39713 6031 6 is be VBZ 39713 6031 7 only only RB 39713 6031 8 a a DT 39713 6031 9 little little JJ 39713 6031 10 space space NN 39713 6031 11 extending extend VBG 39713 6031 12 no no RB 39713 6031 13 farther farther RB 39713 6031 14 than than IN 39713 6031 15 my -PRON- PRP$ 39713 6031 16 arm arm NN 39713 6031 17 can can MD 39713 6031 18 reach reach VB 39713 6031 19 ; ; : 39713 6031 20 the the DT 39713 6031 21 intervention intervention NN 39713 6031 22 of of IN 39713 6031 23 the the DT 39713 6031 24 memory memory NN 39713 6031 25 is be VBZ 39713 6031 26 necessary necessary JJ 39713 6031 27 to to TO 39713 6031 28 push push VB 39713 6031 29 back back RP 39713 6031 30 its -PRON- PRP$ 39713 6031 31 limits limit NNS 39713 6031 32 . . . 39713 6032 1 There there EX 39713 6032 2 are be VBP 39713 6032 3 points point NNS 39713 6032 4 which which WDT 39713 6032 5 will will MD 39713 6032 6 remain remain VB 39713 6032 7 out out IN 39713 6032 8 of of IN 39713 6032 9 my -PRON- PRP$ 39713 6032 10 reach reach NN 39713 6032 11 , , , 39713 6032 12 whatever whatever WDT 39713 6032 13 effort effort NN 39713 6032 14 I -PRON- PRP 39713 6032 15 make make VBP 39713 6032 16 to to TO 39713 6032 17 stretch stretch VB 39713 6032 18 forth forth RP 39713 6032 19 my -PRON- PRP$ 39713 6032 20 hand hand NN 39713 6032 21 ; ; : 39713 6032 22 if if IN 39713 6032 23 I -PRON- PRP 39713 6032 24 were be VBD 39713 6032 25 fastened fasten VBN 39713 6032 26 to to IN 39713 6032 27 the the DT 39713 6032 28 ground ground NN 39713 6032 29 like like IN 39713 6032 30 a a DT 39713 6032 31 hydra hydra NNP 39713 6032 32 polyp polyp NN 39713 6032 33 , , , 39713 6032 34 for for IN 39713 6032 35 instance instance NN 39713 6032 36 , , , 39713 6032 37 which which WDT 39713 6032 38 can can MD 39713 6032 39 only only RB 39713 6032 40 extend extend VB 39713 6032 41 its -PRON- PRP$ 39713 6032 42 tentacles tentacle NNS 39713 6032 43 , , , 39713 6032 44 all all PDT 39713 6032 45 these these DT 39713 6032 46 points point NNS 39713 6032 47 would would MD 39713 6032 48 be be VB 39713 6032 49 outside outside RB 39713 6032 50 of of IN 39713 6032 51 space space NN 39713 6032 52 , , , 39713 6032 53 since since IN 39713 6032 54 the the DT 39713 6032 55 sensations sensation NNS 39713 6032 56 we -PRON- PRP 39713 6032 57 could could MD 39713 6032 58 experience experience VB 39713 6032 59 from from IN 39713 6032 60 the the DT 39713 6032 61 action action NN 39713 6032 62 of of IN 39713 6032 63 bodies body NNS 39713 6032 64 there there RB 39713 6032 65 situated situate VBN 39713 6032 66 , , , 39713 6032 67 would would MD 39713 6032 68 be be VB 39713 6032 69 associated associate VBN 39713 6032 70 with with IN 39713 6032 71 the the DT 39713 6032 72 idea idea NN 39713 6032 73 of of IN 39713 6032 74 no no DT 39713 6032 75 movement movement NN 39713 6032 76 allowing allow VBG 39713 6032 77 us -PRON- PRP 39713 6032 78 to to TO 39713 6032 79 reach reach VB 39713 6032 80 them -PRON- PRP 39713 6032 81 , , , 39713 6032 82 of of IN 39713 6032 83 no no DT 39713 6032 84 appropriate appropriate JJ 39713 6032 85 parry parry NN 39713 6032 86 . . . 39713 6033 1 These these DT 39713 6033 2 sensations sensation NNS 39713 6033 3 would would MD 39713 6033 4 not not RB 39713 6033 5 seem seem VB 39713 6033 6 to to IN 39713 6033 7 us -PRON- PRP 39713 6033 8 to to TO 39713 6033 9 have have VB 39713 6033 10 any any DT 39713 6033 11 spatial spatial JJ 39713 6033 12 character character NN 39713 6033 13 and and CC 39713 6033 14 we -PRON- PRP 39713 6033 15 should should MD 39713 6033 16 not not RB 39713 6033 17 seek seek VB 39713 6033 18 to to TO 39713 6033 19 localize localize VB 39713 6033 20 them -PRON- PRP 39713 6033 21 . . . 39713 6034 1 But but CC 39713 6034 2 we -PRON- PRP 39713 6034 3 are be VBP 39713 6034 4 not not RB 39713 6034 5 fixed fix VBN 39713 6034 6 to to IN 39713 6034 7 the the DT 39713 6034 8 ground ground NN 39713 6034 9 like like IN 39713 6034 10 the the DT 39713 6034 11 lower low JJR 39713 6034 12 animals animal NNS 39713 6034 13 ; ; : 39713 6034 14 we -PRON- PRP 39713 6034 15 can can MD 39713 6034 16 , , , 39713 6034 17 if if IN 39713 6034 18 the the DT 39713 6034 19 enemy enemy NN 39713 6034 20 be be VB 39713 6034 21 too too RB 39713 6034 22 far far RB 39713 6034 23 away away RB 39713 6034 24 , , , 39713 6034 25 advance advance NN 39713 6034 26 toward toward IN 39713 6034 27 him -PRON- PRP 39713 6034 28 first first RB 39713 6034 29 and and CC 39713 6034 30 extend extend VB 39713 6034 31 the the DT 39713 6034 32 hand hand NN 39713 6034 33 when when WRB 39713 6034 34 we -PRON- PRP 39713 6034 35 are be VBP 39713 6034 36 sufficiently sufficiently RB 39713 6034 37 near near JJ 39713 6034 38 . . . 39713 6035 1 This this DT 39713 6035 2 is be VBZ 39713 6035 3 still still RB 39713 6035 4 a a DT 39713 6035 5 parry parry NN 39713 6035 6 , , , 39713 6035 7 but but CC 39713 6035 8 a a DT 39713 6035 9 parry parry NN 39713 6035 10 at at IN 39713 6035 11 long long JJ 39713 6035 12 range range NN 39713 6035 13 . . . 39713 6036 1 On on IN 39713 6036 2 the the DT 39713 6036 3 other other JJ 39713 6036 4 hand hand NN 39713 6036 5 , , , 39713 6036 6 it -PRON- PRP 39713 6036 7 is be VBZ 39713 6036 8 a a DT 39713 6036 9 complex complex JJ 39713 6036 10 parry parry NN 39713 6036 11 , , , 39713 6036 12 and and CC 39713 6036 13 into into IN 39713 6036 14 the the DT 39713 6036 15 representation representation NN 39713 6036 16 we -PRON- PRP 39713 6036 17 make make VBP 39713 6036 18 of of IN 39713 6036 19 it -PRON- PRP 39713 6036 20 enter enter VB 39713 6036 21 the the DT 39713 6036 22 representation representation NN 39713 6036 23 of of IN 39713 6036 24 the the DT 39713 6036 25 muscular muscular JJ 39713 6036 26 sensations sensation NNS 39713 6036 27 caused cause VBN 39713 6036 28 by by IN 39713 6036 29 the the DT 39713 6036 30 movements movement NNS 39713 6036 31 of of IN 39713 6036 32 the the DT 39713 6036 33 legs leg NNS 39713 6036 34 , , , 39713 6036 35 that that DT 39713 6036 36 of of IN 39713 6036 37 the the DT 39713 6036 38 muscular muscular JJ 39713 6036 39 sensations sensation NNS 39713 6036 40 caused cause VBN 39713 6036 41 by by IN 39713 6036 42 the the DT 39713 6036 43 final final JJ 39713 6036 44 movement movement NN 39713 6036 45 of of IN 39713 6036 46 the the DT 39713 6036 47 arm arm NN 39713 6036 48 , , , 39713 6036 49 that that DT 39713 6036 50 of of IN 39713 6036 51 the the DT 39713 6036 52 sensations sensation NNS 39713 6036 53 of of IN 39713 6036 54 the the DT 39713 6036 55 semicircular semicircular JJ 39713 6036 56 canals canal NNS 39713 6036 57 , , , 39713 6036 58 etc etc FW 39713 6036 59 . . . 39713 6037 1 We -PRON- PRP 39713 6037 2 must must MD 39713 6037 3 , , , 39713 6037 4 besides besides RB 39713 6037 5 , , , 39713 6037 6 represent represent VB 39713 6037 7 to to IN 39713 6037 8 ourselves -PRON- PRP 39713 6037 9 , , , 39713 6037 10 not not RB 39713 6037 11 a a DT 39713 6037 12 complex complex NN 39713 6037 13 of of IN 39713 6037 14 simultaneous simultaneous JJ 39713 6037 15 sensations sensation NNS 39713 6037 16 , , , 39713 6037 17 but but CC 39713 6037 18 a a DT 39713 6037 19 complex complex NN 39713 6037 20 of of IN 39713 6037 21 successive successive JJ 39713 6037 22 sensations sensation NNS 39713 6037 23 , , , 39713 6037 24 following follow VBG 39713 6037 25 each each DT 39713 6037 26 other other JJ 39713 6037 27 in in IN 39713 6037 28 a a DT 39713 6037 29 determinate determinate JJ 39713 6037 30 order order NN 39713 6037 31 , , , 39713 6037 32 and and CC 39713 6037 33 this this DT 39713 6037 34 is be VBZ 39713 6037 35 why why WRB 39713 6037 36 I -PRON- PRP 39713 6037 37 have have VBP 39713 6037 38 just just RB 39713 6037 39 said say VBN 39713 6037 40 the the DT 39713 6037 41 intervention intervention NN 39713 6037 42 of of IN 39713 6037 43 memory memory NN 39713 6037 44 was be VBD 39713 6037 45 necessary necessary JJ 39713 6037 46 . . . 39713 6038 1 Notice notice VB 39713 6038 2 moreover moreover IN 39713 6038 3 that that IN 39713 6038 4 , , , 39713 6038 5 to to TO 39713 6038 6 reach reach VB 39713 6038 7 the the DT 39713 6038 8 same same JJ 39713 6038 9 point point NN 39713 6038 10 , , , 39713 6038 11 I -PRON- PRP 39713 6038 12 may may MD 39713 6038 13 approach approach VB 39713 6038 14 nearer nearer VB 39713 6038 15 the the DT 39713 6038 16 mark mark NN 39713 6038 17 to to TO 39713 6038 18 be be VB 39713 6038 19 attained attain VBN 39713 6038 20 , , , 39713 6038 21 so so IN 39713 6038 22 as as IN 39713 6038 23 to to TO 39713 6038 24 have have VB 39713 6038 25 to to TO 39713 6038 26 stretch stretch VB 39713 6038 27 my -PRON- PRP$ 39713 6038 28 arm arm NN 39713 6038 29 less less RBR 39713 6038 30 . . . 39713 6039 1 What what WP 39713 6039 2 more more RBR 39713 6039 3 ? ? . 39713 6040 1 It -PRON- PRP 39713 6040 2 is be VBZ 39713 6040 3 not not RB 39713 6040 4 one one CD 39713 6040 5 , , , 39713 6040 6 it -PRON- PRP 39713 6040 7 is be VBZ 39713 6040 8 a a DT 39713 6040 9 thousand thousand CD 39713 6040 10 parries parry NNS 39713 6040 11 I -PRON- PRP 39713 6040 12 can can MD 39713 6040 13 oppose oppose VB 39713 6040 14 to to IN 39713 6040 15 the the DT 39713 6040 16 same same JJ 39713 6040 17 danger danger NN 39713 6040 18 . . . 39713 6041 1 All all PDT 39713 6041 2 these these DT 39713 6041 3 parries parry NNS 39713 6041 4 are be VBP 39713 6041 5 made make VBN 39713 6041 6 of of IN 39713 6041 7 sensations sensation NNS 39713 6041 8 which which WDT 39713 6041 9 may may MD 39713 6041 10 have have VB 39713 6041 11 nothing nothing NN 39713 6041 12 in in IN 39713 6041 13 common common JJ 39713 6041 14 and and CC 39713 6041 15 yet yet RB 39713 6041 16 we -PRON- PRP 39713 6041 17 regard regard VBP 39713 6041 18 them -PRON- PRP 39713 6041 19 as as IN 39713 6041 20 defining define VBG 39713 6041 21 the the DT 39713 6041 22 same same JJ 39713 6041 23 point point NN 39713 6041 24 of of IN 39713 6041 25 space space NN 39713 6041 26 , , , 39713 6041 27 since since IN 39713 6041 28 they -PRON- PRP 39713 6041 29 may may MD 39713 6041 30 respond respond VB 39713 6041 31 to to IN 39713 6041 32 the the DT 39713 6041 33 same same JJ 39713 6041 34 danger danger NN 39713 6041 35 and and CC 39713 6041 36 are be VBP 39713 6041 37 all all DT 39713 6041 38 associated associate VBN 39713 6041 39 with with IN 39713 6041 40 the the DT 39713 6041 41 notion notion NN 39713 6041 42 of of IN 39713 6041 43 this this DT 39713 6041 44 danger danger NN 39713 6041 45 . . . 39713 6042 1 It -PRON- PRP 39713 6042 2 is be VBZ 39713 6042 3 the the DT 39713 6042 4 potentiality potentiality NN 39713 6042 5 of of IN 39713 6042 6 warding ward VBG 39713 6042 7 off off RP 39713 6042 8 the the DT 39713 6042 9 same same JJ 39713 6042 10 stroke stroke NN 39713 6042 11 which which WDT 39713 6042 12 makes make VBZ 39713 6042 13 the the DT 39713 6042 14 unity unity NN 39713 6042 15 of of IN 39713 6042 16 these these DT 39713 6042 17 different different JJ 39713 6042 18 parries parry NNS 39713 6042 19 , , , 39713 6042 20 as as IN 39713 6042 21 it -PRON- PRP 39713 6042 22 is be VBZ 39713 6042 23 the the DT 39713 6042 24 possibility possibility NN 39713 6042 25 of of IN 39713 6042 26 being be VBG 39713 6042 27 parried parry VBN 39713 6042 28 in in IN 39713 6042 29 the the DT 39713 6042 30 same same JJ 39713 6042 31 way way NN 39713 6042 32 which which WDT 39713 6042 33 makes make VBZ 39713 6042 34 the the DT 39713 6042 35 unity unity NN 39713 6042 36 of of IN 39713 6042 37 the the DT 39713 6042 38 strokes stroke NNS 39713 6042 39 so so RB 39713 6042 40 different different JJ 39713 6042 41 in in IN 39713 6042 42 kind kind NN 39713 6042 43 , , , 39713 6042 44 which which WDT 39713 6042 45 may may MD 39713 6042 46 menace menace VB 39713 6042 47 us -PRON- PRP 39713 6042 48 from from IN 39713 6042 49 the the DT 39713 6042 50 same same JJ 39713 6042 51 point point NN 39713 6042 52 of of IN 39713 6042 53 space space NN 39713 6042 54 . . . 39713 6043 1 It -PRON- PRP 39713 6043 2 is be VBZ 39713 6043 3 this this DT 39713 6043 4 double double JJ 39713 6043 5 unity unity NN 39713 6043 6 which which WDT 39713 6043 7 makes make VBZ 39713 6043 8 the the DT 39713 6043 9 individuality individuality NN 39713 6043 10 of of IN 39713 6043 11 each each DT 39713 6043 12 point point NN 39713 6043 13 of of IN 39713 6043 14 space space NN 39713 6043 15 , , , 39713 6043 16 and and CC 39713 6043 17 , , , 39713 6043 18 in in IN 39713 6043 19 the the DT 39713 6043 20 notion notion NN 39713 6043 21 of of IN 39713 6043 22 point point NN 39713 6043 23 , , , 39713 6043 24 there there EX 39713 6043 25 is be VBZ 39713 6043 26 nothing nothing NN 39713 6043 27 else else RB 39713 6043 28 . . . 39713 6044 1 The the DT 39713 6044 2 space space NN 39713 6044 3 before before IN 39713 6044 4 considered consider VBN 39713 6044 5 , , , 39713 6044 6 which which WDT 39713 6044 7 might may MD 39713 6044 8 be be VB 39713 6044 9 called call VBN 39713 6044 10 _ _ NNP 39713 6044 11 restricted restrict VBN 39713 6044 12 space space NN 39713 6044 13 _ _ NNP 39713 6044 14 , , , 39713 6044 15 was be VBD 39713 6044 16 referred refer VBN 39713 6044 17 to to TO 39713 6044 18 coordinate coordinate VB 39713 6044 19 axes axis NNS 39713 6044 20 bound bind VBN 39713 6044 21 to to IN 39713 6044 22 my -PRON- PRP$ 39713 6044 23 body body NN 39713 6044 24 ; ; : 39713 6044 25 these these DT 39713 6044 26 axes axis NNS 39713 6044 27 were be VBD 39713 6044 28 fixed fix VBN 39713 6044 29 , , , 39713 6044 30 since since IN 39713 6044 31 my -PRON- PRP$ 39713 6044 32 body body NN 39713 6044 33 did do VBD 39713 6044 34 not not RB 39713 6044 35 move move VB 39713 6044 36 and and CC 39713 6044 37 only only RB 39713 6044 38 my -PRON- PRP$ 39713 6044 39 members member NNS 39713 6044 40 were be VBD 39713 6044 41 displaced displace VBN 39713 6044 42 . . . 39713 6045 1 What what WP 39713 6045 2 are be VBP 39713 6045 3 the the DT 39713 6045 4 axes axis NNS 39713 6045 5 to to TO 39713 6045 6 which which WDT 39713 6045 7 we -PRON- PRP 39713 6045 8 naturally naturally RB 39713 6045 9 refer refer VBP 39713 6045 10 the the DT 39713 6045 11 _ _ NNP 39713 6045 12 extended extend VBN 39713 6045 13 space space NN 39713 6045 14 _ _ NNP 39713 6045 15 ? ? . 39713 6046 1 that that DT 39713 6046 2 is be VBZ 39713 6046 3 to to TO 39713 6046 4 say say VB 39713 6046 5 the the DT 39713 6046 6 new new JJ 39713 6046 7 space space NN 39713 6046 8 just just RB 39713 6046 9 defined define VBN 39713 6046 10 . . . 39713 6047 1 We -PRON- PRP 39713 6047 2 define define VBP 39713 6047 3 a a DT 39713 6047 4 point point NN 39713 6047 5 by by IN 39713 6047 6 the the DT 39713 6047 7 sequence sequence NN 39713 6047 8 of of IN 39713 6047 9 movements movement NNS 39713 6047 10 to to TO 39713 6047 11 be be VB 39713 6047 12 made make VBN 39713 6047 13 to to TO 39713 6047 14 reach reach VB 39713 6047 15 it -PRON- PRP 39713 6047 16 , , , 39713 6047 17 starting start VBG 39713 6047 18 from from IN 39713 6047 19 a a DT 39713 6047 20 certain certain JJ 39713 6047 21 initial initial JJ 39713 6047 22 position position NN 39713 6047 23 of of IN 39713 6047 24 the the DT 39713 6047 25 body body NN 39713 6047 26 . . . 39713 6048 1 The the DT 39713 6048 2 axes axis NNS 39713 6048 3 are be VBP 39713 6048 4 therefore therefore RB 39713 6048 5 fixed fix VBN 39713 6048 6 to to IN 39713 6048 7 this this DT 39713 6048 8 initial initial JJ 39713 6048 9 position position NN 39713 6048 10 of of IN 39713 6048 11 the the DT 39713 6048 12 body body NN 39713 6048 13 . . . 39713 6049 1 But but CC 39713 6049 2 the the DT 39713 6049 3 position position NN 39713 6049 4 I -PRON- PRP 39713 6049 5 call call VBP 39713 6049 6 initial initial JJ 39713 6049 7 may may MD 39713 6049 8 be be VB 39713 6049 9 arbitrarily arbitrarily RB 39713 6049 10 chosen choose VBN 39713 6049 11 among among IN 39713 6049 12 all all PDT 39713 6049 13 the the DT 39713 6049 14 positions position NNS 39713 6049 15 my -PRON- PRP$ 39713 6049 16 body body NN 39713 6049 17 has have VBZ 39713 6049 18 successively successively RB 39713 6049 19 occupied occupy VBN 39713 6049 20 ; ; : 39713 6049 21 if if IN 39713 6049 22 the the DT 39713 6049 23 memory memory NN 39713 6049 24 more more RBR 39713 6049 25 or or CC 39713 6049 26 less less RBR 39713 6049 27 unconscious unconscious JJ 39713 6049 28 of of IN 39713 6049 29 these these DT 39713 6049 30 successive successive JJ 39713 6049 31 positions position NNS 39713 6049 32 is be VBZ 39713 6049 33 necessary necessary JJ 39713 6049 34 for for IN 39713 6049 35 the the DT 39713 6049 36 genesis genesis NN 39713 6049 37 of of IN 39713 6049 38 the the DT 39713 6049 39 notion notion NN 39713 6049 40 of of IN 39713 6049 41 space space NN 39713 6049 42 , , , 39713 6049 43 this this DT 39713 6049 44 memory memory NN 39713 6049 45 may may MD 39713 6049 46 go go VB 39713 6049 47 back back RB 39713 6049 48 more more RBR 39713 6049 49 or or CC 39713 6049 50 less less RBR 39713 6049 51 far far RB 39713 6049 52 into into IN 39713 6049 53 the the DT 39713 6049 54 past past NN 39713 6049 55 . . . 39713 6050 1 Thence thence NN 39713 6050 2 results result VBZ 39713 6050 3 in in IN 39713 6050 4 the the DT 39713 6050 5 definition definition NN 39713 6050 6 itself -PRON- PRP 39713 6050 7 of of IN 39713 6050 8 space space NN 39713 6050 9 a a DT 39713 6050 10 certain certain JJ 39713 6050 11 indetermination indetermination NN 39713 6050 12 , , , 39713 6050 13 and and CC 39713 6050 14 it -PRON- PRP 39713 6050 15 is be VBZ 39713 6050 16 precisely precisely RB 39713 6050 17 this this DT 39713 6050 18 indetermination indetermination NN 39713 6050 19 which which WDT 39713 6050 20 constitutes constitute VBZ 39713 6050 21 its -PRON- PRP$ 39713 6050 22 relativity relativity NN 39713 6050 23 . . . 39713 6051 1 There there EX 39713 6051 2 is be VBZ 39713 6051 3 no no DT 39713 6051 4 absolute absolute JJ 39713 6051 5 space space NN 39713 6051 6 , , , 39713 6051 7 there there EX 39713 6051 8 is be VBZ 39713 6051 9 only only RB 39713 6051 10 space space NN 39713 6051 11 relative relative JJ 39713 6051 12 to to IN 39713 6051 13 a a DT 39713 6051 14 certain certain JJ 39713 6051 15 initial initial JJ 39713 6051 16 position position NN 39713 6051 17 of of IN 39713 6051 18 the the DT 39713 6051 19 body body NN 39713 6051 20 . . . 39713 6052 1 For for IN 39713 6052 2 a a DT 39713 6052 3 conscious conscious JJ 39713 6052 4 being be VBG 39713 6052 5 fixed fix VBN 39713 6052 6 to to IN 39713 6052 7 the the DT 39713 6052 8 ground ground NN 39713 6052 9 like like IN 39713 6052 10 the the DT 39713 6052 11 lower low JJR 39713 6052 12 animals animal NNS 39713 6052 13 , , , 39713 6052 14 and and CC 39713 6052 15 consequently consequently RB 39713 6052 16 knowing know VBG 39713 6052 17 only only RB 39713 6052 18 restricted restrict VBD 39713 6052 19 space space NN 39713 6052 20 , , , 39713 6052 21 space space NN 39713 6052 22 would would MD 39713 6052 23 still still RB 39713 6052 24 be be VB 39713 6052 25 relative relative JJ 39713 6052 26 ( ( -LRB- 39713 6052 27 since since IN 39713 6052 28 it -PRON- PRP 39713 6052 29 would would MD 39713 6052 30 have have VB 39713 6052 31 reference reference NN 39713 6052 32 to to IN 39713 6052 33 his -PRON- PRP$ 39713 6052 34 body body NN 39713 6052 35 ) ) -RRB- 39713 6052 36 , , , 39713 6052 37 but but CC 39713 6052 38 this this DT 39713 6052 39 being being NN 39713 6052 40 would would MD 39713 6052 41 not not RB 39713 6052 42 be be VB 39713 6052 43 conscious conscious JJ 39713 6052 44 of of IN 39713 6052 45 this this DT 39713 6052 46 relativity relativity NN 39713 6052 47 , , , 39713 6052 48 because because IN 39713 6052 49 the the DT 39713 6052 50 axes axis NNS 39713 6052 51 of of IN 39713 6052 52 reference reference NN 39713 6052 53 for for IN 39713 6052 54 this this DT 39713 6052 55 restricted restrict VBN 39713 6052 56 space space NN 39713 6052 57 would would MD 39713 6052 58 be be VB 39713 6052 59 unchanging unchanging JJ 39713 6052 60 ! ! . 39713 6053 1 Doubtless doubtless RB 39713 6053 2 the the DT 39713 6053 3 rock rock NN 39713 6053 4 to to TO 39713 6053 5 which which WDT 39713 6053 6 this this DT 39713 6053 7 being being NN 39713 6053 8 would would MD 39713 6053 9 be be VB 39713 6053 10 fettered fetter VBN 39713 6053 11 would would MD 39713 6053 12 not not RB 39713 6053 13 be be VB 39713 6053 14 motionless motionless JJ 39713 6053 15 , , , 39713 6053 16 since since IN 39713 6053 17 it -PRON- PRP 39713 6053 18 would would MD 39713 6053 19 be be VB 39713 6053 20 carried carry VBN 39713 6053 21 along along RB 39713 6053 22 in in IN 39713 6053 23 the the DT 39713 6053 24 movement movement NN 39713 6053 25 of of IN 39713 6053 26 our -PRON- PRP$ 39713 6053 27 planet planet NN 39713 6053 28 ; ; : 39713 6053 29 for for IN 39713 6053 30 us -PRON- PRP 39713 6053 31 consequently consequently RB 39713 6053 32 these these DT 39713 6053 33 axes axis NNS 39713 6053 34 would would MD 39713 6053 35 change change VB 39713 6053 36 at at IN 39713 6053 37 each each DT 39713 6053 38 instant instant NN 39713 6053 39 ; ; : 39713 6053 40 but but CC 39713 6053 41 for for IN 39713 6053 42 him -PRON- PRP 39713 6053 43 they -PRON- PRP 39713 6053 44 would would MD 39713 6053 45 be be VB 39713 6053 46 changeless changeless NN 39713 6053 47 . . . 39713 6054 1 We -PRON- PRP 39713 6054 2 have have VBP 39713 6054 3 the the DT 39713 6054 4 faculty faculty NN 39713 6054 5 of of IN 39713 6054 6 referring refer VBG 39713 6054 7 our -PRON- PRP$ 39713 6054 8 extended extended JJ 39713 6054 9 space space NN 39713 6054 10 now now RB 39713 6054 11 to to IN 39713 6054 12 the the DT 39713 6054 13 position position NN 39713 6054 14 _ _ NNP 39713 6054 15 A A NNP 39713 6054 16 _ _ NNP 39713 6054 17 of of IN 39713 6054 18 our -PRON- PRP$ 39713 6054 19 body body NN 39713 6054 20 , , , 39713 6054 21 considered consider VBN 39713 6054 22 as as IN 39713 6054 23 initial initial JJ 39713 6054 24 , , , 39713 6054 25 again again RB 39713 6054 26 to to IN 39713 6054 27 the the DT 39713 6054 28 position position NN 39713 6054 29 _ _ NNP 39713 6054 30 B B NNP 39713 6054 31 _ _ NNP 39713 6054 32 , , , 39713 6054 33 which which WDT 39713 6054 34 it -PRON- PRP 39713 6054 35 had have VBD 39713 6054 36 some some DT 39713 6054 37 moments moment NNS 39713 6054 38 afterward afterward RB 39713 6054 39 , , , 39713 6054 40 and and CC 39713 6054 41 which which WDT 39713 6054 42 we -PRON- PRP 39713 6054 43 are be VBP 39713 6054 44 free free JJ 39713 6054 45 to to TO 39713 6054 46 regard regard VB 39713 6054 47 in in IN 39713 6054 48 its -PRON- PRP$ 39713 6054 49 turn turn NN 39713 6054 50 as as IN 39713 6054 51 initial initial JJ 39713 6054 52 ; ; : 39713 6054 53 we -PRON- PRP 39713 6054 54 make make VBP 39713 6054 55 therefore therefore RB 39713 6054 56 at at IN 39713 6054 57 each each DT 39713 6054 58 instant instant JJ 39713 6054 59 unconscious unconscious JJ 39713 6054 60 transformations transformation NNS 39713 6054 61 of of IN 39713 6054 62 coordinates coordinate NNS 39713 6054 63 . . . 39713 6055 1 This this DT 39713 6055 2 faculty faculty NN 39713 6055 3 would would MD 39713 6055 4 be be VB 39713 6055 5 lacking lack VBG 39713 6055 6 in in IN 39713 6055 7 our -PRON- PRP$ 39713 6055 8 imaginary imaginary JJ 39713 6055 9 being being NN 39713 6055 10 , , , 39713 6055 11 and and CC 39713 6055 12 from from IN 39713 6055 13 not not RB 39713 6055 14 having have VBG 39713 6055 15 traveled travel VBN 39713 6055 16 , , , 39713 6055 17 he -PRON- PRP 39713 6055 18 would would MD 39713 6055 19 think think VB 39713 6055 20 space space NN 39713 6055 21 absolute absolute JJ 39713 6055 22 . . . 39713 6056 1 At at IN 39713 6056 2 every every DT 39713 6056 3 instant instant NN 39713 6056 4 , , , 39713 6056 5 his -PRON- PRP$ 39713 6056 6 system system NN 39713 6056 7 of of IN 39713 6056 8 axes axis NNS 39713 6056 9 would would MD 39713 6056 10 be be VB 39713 6056 11 imposed impose VBN 39713 6056 12 upon upon IN 39713 6056 13 him -PRON- PRP 39713 6056 14 ; ; : 39713 6056 15 this this DT 39713 6056 16 system system NN 39713 6056 17 would would MD 39713 6056 18 have have VB 39713 6056 19 to to TO 39713 6056 20 change change VB 39713 6056 21 greatly greatly RB 39713 6056 22 in in IN 39713 6056 23 reality reality NN 39713 6056 24 , , , 39713 6056 25 but but CC 39713 6056 26 for for IN 39713 6056 27 him -PRON- PRP 39713 6056 28 it -PRON- PRP 39713 6056 29 would would MD 39713 6056 30 be be VB 39713 6056 31 always always RB 39713 6056 32 the the DT 39713 6056 33 same same JJ 39713 6056 34 , , , 39713 6056 35 since since IN 39713 6056 36 it -PRON- PRP 39713 6056 37 would would MD 39713 6056 38 be be VB 39713 6056 39 always always RB 39713 6056 40 the the DT 39713 6056 41 _ _ NNP 39713 6056 42 only only RB 39713 6056 43 _ _ NNP 39713 6056 44 system system NN 39713 6056 45 . . . 39713 6057 1 Quite quite JJ 39713 6057 2 otherwise otherwise RB 39713 6057 3 is be VBZ 39713 6057 4 it -PRON- PRP 39713 6057 5 with with IN 39713 6057 6 us -PRON- PRP 39713 6057 7 , , , 39713 6057 8 who who WP 39713 6057 9 at at IN 39713 6057 10 each each DT 39713 6057 11 instant instant NN 39713 6057 12 have have VBP 39713 6057 13 many many JJ 39713 6057 14 systems system NNS 39713 6057 15 between between IN 39713 6057 16 which which WDT 39713 6057 17 we -PRON- PRP 39713 6057 18 may may MD 39713 6057 19 choose choose VB 39713 6057 20 at at IN 39713 6057 21 will will NN 39713 6057 22 , , , 39713 6057 23 on on IN 39713 6057 24 condition condition NN 39713 6057 25 of of IN 39713 6057 26 going go VBG 39713 6057 27 back back RB 39713 6057 28 by by IN 39713 6057 29 memory memory NN 39713 6057 30 more more RBR 39713 6057 31 or or CC 39713 6057 32 less less RBR 39713 6057 33 far far RB 39713 6057 34 into into IN 39713 6057 35 the the DT 39713 6057 36 past past NN 39713 6057 37 . . . 39713 6058 1 This this DT 39713 6058 2 is be VBZ 39713 6058 3 not not RB 39713 6058 4 all all DT 39713 6058 5 ; ; : 39713 6058 6 restricted restricted JJ 39713 6058 7 space space NN 39713 6058 8 would would MD 39713 6058 9 not not RB 39713 6058 10 be be VB 39713 6058 11 homogeneous homogeneous JJ 39713 6058 12 ; ; : 39713 6058 13 the the DT 39713 6058 14 different different JJ 39713 6058 15 points point NNS 39713 6058 16 of of IN 39713 6058 17 this this DT 39713 6058 18 space space NN 39713 6058 19 could could MD 39713 6058 20 not not RB 39713 6058 21 be be VB 39713 6058 22 regarded regard VBN 39713 6058 23 as as IN 39713 6058 24 equivalent equivalent JJ 39713 6058 25 , , , 39713 6058 26 since since IN 39713 6058 27 some some DT 39713 6058 28 could could MD 39713 6058 29 be be VB 39713 6058 30 reached reach VBN 39713 6058 31 only only RB 39713 6058 32 at at IN 39713 6058 33 the the DT 39713 6058 34 cost cost NN 39713 6058 35 of of IN 39713 6058 36 the the DT 39713 6058 37 greatest great JJS 39713 6058 38 efforts effort NNS 39713 6058 39 , , , 39713 6058 40 while while IN 39713 6058 41 others other NNS 39713 6058 42 could could MD 39713 6058 43 be be VB 39713 6058 44 easily easily RB 39713 6058 45 attained attain VBN 39713 6058 46 . . . 39713 6059 1 On on IN 39713 6059 2 the the DT 39713 6059 3 contrary contrary NN 39713 6059 4 , , , 39713 6059 5 our -PRON- PRP$ 39713 6059 6 extended extended JJ 39713 6059 7 space space NN 39713 6059 8 seems seem VBZ 39713 6059 9 to to IN 39713 6059 10 us -PRON- PRP 39713 6059 11 homogeneous homogeneous JJ 39713 6059 12 , , , 39713 6059 13 and and CC 39713 6059 14 we -PRON- PRP 39713 6059 15 say say VBP 39713 6059 16 all all PDT 39713 6059 17 its -PRON- PRP$ 39713 6059 18 points point NNS 39713 6059 19 are be VBP 39713 6059 20 equivalent equivalent JJ 39713 6059 21 . . . 39713 6060 1 What what WP 39713 6060 2 does do VBZ 39713 6060 3 that that DT 39713 6060 4 mean mean VB 39713 6060 5 ? ? . 39713 6061 1 If if IN 39713 6061 2 we -PRON- PRP 39713 6061 3 start start VBP 39713 6061 4 from from IN 39713 6061 5 a a DT 39713 6061 6 certain certain JJ 39713 6061 7 place place NN 39713 6061 8 _ _ NNP 39713 6061 9 A A NNP 39713 6061 10 _ _ NNP 39713 6061 11 , , , 39713 6061 12 we -PRON- PRP 39713 6061 13 can can MD 39713 6061 14 , , , 39713 6061 15 from from IN 39713 6061 16 this this DT 39713 6061 17 position position NN 39713 6061 18 , , , 39713 6061 19 make make VB 39713 6061 20 certain certain JJ 39713 6061 21 movements movement NNS 39713 6061 22 , , , 39713 6061 23 _ _ NNP 39713 6061 24 M M NNP 39713 6061 25 _ _ NNP 39713 6061 26 , , , 39713 6061 27 characterized characterize VBN 39713 6061 28 by by IN 39713 6061 29 a a DT 39713 6061 30 certain certain JJ 39713 6061 31 complex complex NN 39713 6061 32 of of IN 39713 6061 33 muscular muscular JJ 39713 6061 34 sensations sensation NNS 39713 6061 35 . . . 39713 6062 1 But but CC 39713 6062 2 , , , 39713 6062 3 starting start VBG 39713 6062 4 from from IN 39713 6062 5 another another DT 39713 6062 6 position position NN 39713 6062 7 , , , 39713 6062 8 _ _ NNP 39713 6062 9 B B NNP 39713 6062 10 _ _ NNP 39713 6062 11 , , , 39713 6062 12 we -PRON- PRP 39713 6062 13 make make VBP 39713 6062 14 movements movement NNS 39713 6062 15 _ _ NNP 39713 6062 16 M M NNP 39713 6062 17 ' ' '' 39713 6062 18 _ _ NNP 39713 6062 19 characterized characterize VBN 39713 6062 20 by by IN 39713 6062 21 the the DT 39713 6062 22 same same JJ 39713 6062 23 muscular muscular JJ 39713 6062 24 sensations sensation NNS 39713 6062 25 . . . 39713 6063 1 Let let VB 39713 6063 2 _ _ NNP 39713 6063 3 a a DT 39713 6063 4 _ _ NNP 39713 6063 5 , , , 39713 6063 6 then then RB 39713 6063 7 , , , 39713 6063 8 be be VB 39713 6063 9 the the DT 39713 6063 10 situation situation NN 39713 6063 11 of of IN 39713 6063 12 a a DT 39713 6063 13 certain certain JJ 39713 6063 14 point point NN 39713 6063 15 of of IN 39713 6063 16 the the DT 39713 6063 17 body body NN 39713 6063 18 , , , 39713 6063 19 the the DT 39713 6063 20 end end NN 39713 6063 21 of of IN 39713 6063 22 the the DT 39713 6063 23 index index NN 39713 6063 24 finger finger NN 39713 6063 25 of of IN 39713 6063 26 the the DT 39713 6063 27 right right JJ 39713 6063 28 hand hand NN 39713 6063 29 for for IN 39713 6063 30 example example NN 39713 6063 31 , , , 39713 6063 32 in in IN 39713 6063 33 the the DT 39713 6063 34 initial initial JJ 39713 6063 35 position position NN 39713 6063 36 _ _ NNP 39713 6063 37 A A NNP 39713 6063 38 _ _ NNP 39713 6063 39 , , , 39713 6063 40 and and CC 39713 6063 41 _ _ NNP 39713 6063 42 b b NNP 39713 6063 43 _ _ NNP 39713 6063 44 the the DT 39713 6063 45 situation situation NN 39713 6063 46 of of IN 39713 6063 47 this this DT 39713 6063 48 same same JJ 39713 6063 49 index index NN 39713 6063 50 when when WRB 39713 6063 51 , , , 39713 6063 52 starting start VBG 39713 6063 53 from from IN 39713 6063 54 this this DT 39713 6063 55 position position NN 39713 6063 56 _ _ NNP 39713 6063 57 A A NNP 39713 6063 58 _ _ NNP 39713 6063 59 , , , 39713 6063 60 we -PRON- PRP 39713 6063 61 have have VBP 39713 6063 62 made make VBN 39713 6063 63 the the DT 39713 6063 64 motions motion NNS 39713 6063 65 _ _ NNP 39713 6063 66 M M NNP 39713 6063 67 _ _ NNP 39713 6063 68 . . . 39713 6064 1 Afterwards afterwards RB 39713 6064 2 , , , 39713 6064 3 let let VBD 39713 6064 4 _ _ NNP 39713 6064 5 a a DT 39713 6064 6 ' ' `` 39713 6064 7 _ _ NNP 39713 6064 8 be be VB 39713 6064 9 the the DT 39713 6064 10 situation situation NN 39713 6064 11 of of IN 39713 6064 12 this this DT 39713 6064 13 index index NN 39713 6064 14 in in IN 39713 6064 15 the the DT 39713 6064 16 position position NN 39713 6064 17 _ _ NNP 39713 6064 18 B B NNP 39713 6064 19 _ _ NNP 39713 6064 20 , , , 39713 6064 21 and and CC 39713 6064 22 _ _ NNP 39713 6064 23 b b NNP 39713 6064 24 ' ' '' 39713 6064 25 _ _ NNP 39713 6064 26 its -PRON- PRP$ 39713 6064 27 situation situation NN 39713 6064 28 when when WRB 39713 6064 29 , , , 39713 6064 30 starting start VBG 39713 6064 31 from from IN 39713 6064 32 the the DT 39713 6064 33 position position NN 39713 6064 34 _ _ NNP 39713 6064 35 B B NNP 39713 6064 36 _ _ NNP 39713 6064 37 , , , 39713 6064 38 we -PRON- PRP 39713 6064 39 have have VBP 39713 6064 40 made make VBN 39713 6064 41 the the DT 39713 6064 42 motions motion NNS 39713 6064 43 _ _ NNP 39713 6064 44 M M NNP 39713 6064 45 ' ' '' 39713 6064 46 _ _ NNP 39713 6064 47 . . . 39713 6065 1 Well well UH 39713 6065 2 , , , 39713 6065 3 I -PRON- PRP 39713 6065 4 am be VBP 39713 6065 5 accustomed accustom VBN 39713 6065 6 to to TO 39713 6065 7 say say VB 39713 6065 8 that that IN 39713 6065 9 the the DT 39713 6065 10 points point NNS 39713 6065 11 of of IN 39713 6065 12 space space NN 39713 6065 13 _ _ NNP 39713 6065 14 a a DT 39713 6065 15 _ _ NNP 39713 6065 16 and and CC 39713 6065 17 _ _ NNP 39713 6065 18 b b NNP 39713 6065 19 _ _ NNP 39713 6065 20 are be VBP 39713 6065 21 related relate VBN 39713 6065 22 to to IN 39713 6065 23 each each DT 39713 6065 24 other other JJ 39713 6065 25 just just RB 39713 6065 26 as as IN 39713 6065 27 the the DT 39713 6065 28 points point NNS 39713 6065 29 _ _ NNP 39713 6065 30 a a DT 39713 6065 31 ' ' `` 39713 6065 32 _ _ NNP 39713 6065 33 and and CC 39713 6065 34 _ _ NNP 39713 6065 35 b b NNP 39713 6065 36 ' ' '' 39713 6065 37 _ _ NNP 39713 6065 38 , , , 39713 6065 39 and and CC 39713 6065 40 this this DT 39713 6065 41 simply simply RB 39713 6065 42 means mean VBZ 39713 6065 43 that that IN 39713 6065 44 the the DT 39713 6065 45 two two CD 39713 6065 46 series series NN 39713 6065 47 of of IN 39713 6065 48 movements movement NNS 39713 6065 49 _ _ NNP 39713 6065 50 M M NNP 39713 6065 51 _ _ NNP 39713 6065 52 and and CC 39713 6065 53 _ _ NNP 39713 6065 54 M M NNP 39713 6065 55 ' ' '' 39713 6065 56 _ _ NNP 39713 6065 57 are be VBP 39713 6065 58 accompanied accompany VBN 39713 6065 59 by by IN 39713 6065 60 the the DT 39713 6065 61 same same JJ 39713 6065 62 muscular muscular JJ 39713 6065 63 sensations sensation NNS 39713 6065 64 . . . 39713 6066 1 And and CC 39713 6066 2 as as IN 39713 6066 3 I -PRON- PRP 39713 6066 4 am be VBP 39713 6066 5 conscious conscious JJ 39713 6066 6 that that IN 39713 6066 7 , , , 39713 6066 8 in in IN 39713 6066 9 passing pass VBG 39713 6066 10 from from IN 39713 6066 11 the the DT 39713 6066 12 position position NN 39713 6066 13 _ _ NNP 39713 6066 14 A A NNP 39713 6066 15 _ _ NNP 39713 6066 16 to to IN 39713 6066 17 the the DT 39713 6066 18 position position NN 39713 6066 19 _ _ NNP 39713 6066 20 B B NNP 39713 6066 21 _ _ NNP 39713 6066 22 , , , 39713 6066 23 my -PRON- PRP$ 39713 6066 24 body body NN 39713 6066 25 has have VBZ 39713 6066 26 remained remain VBN 39713 6066 27 capable capable JJ 39713 6066 28 of of IN 39713 6066 29 the the DT 39713 6066 30 same same JJ 39713 6066 31 movements movement NNS 39713 6066 32 , , , 39713 6066 33 I -PRON- PRP 39713 6066 34 know know VBP 39713 6066 35 there there EX 39713 6066 36 is be VBZ 39713 6066 37 a a DT 39713 6066 38 point point NN 39713 6066 39 of of IN 39713 6066 40 space space NN 39713 6066 41 related relate VBN 39713 6066 42 to to IN 39713 6066 43 the the DT 39713 6066 44 point point NN 39713 6066 45 _ _ NNP 39713 6066 46 a a DT 39713 6066 47 ' ' `` 39713 6066 48 _ _ NN 39713 6066 49 just just RB 39713 6066 50 as as IN 39713 6066 51 any any DT 39713 6066 52 point point NN 39713 6066 53 _ _ NNP 39713 6066 54 b b NNP 39713 6066 55 _ _ NNP 39713 6066 56 is be VBZ 39713 6066 57 to to IN 39713 6066 58 the the DT 39713 6066 59 point point NN 39713 6066 60 _ _ NNP 39713 6066 61 a a DT 39713 6066 62 _ _ NNP 39713 6066 63 , , , 39713 6066 64 so so IN 39713 6066 65 that that IN 39713 6066 66 the the DT 39713 6066 67 two two CD 39713 6066 68 points point NNS 39713 6066 69 _ _ NNP 39713 6066 70 a a DT 39713 6066 71 _ _ NNP 39713 6066 72 and and CC 39713 6066 73 _ _ NNP 39713 6066 74 a a DT 39713 6066 75 ' ' '' 39713 6066 76 _ _ NNP 39713 6066 77 are be VBP 39713 6066 78 equivalent equivalent JJ 39713 6066 79 . . . 39713 6067 1 This this DT 39713 6067 2 is be VBZ 39713 6067 3 what what WP 39713 6067 4 is be VBZ 39713 6067 5 called call VBN 39713 6067 6 the the DT 39713 6067 7 homogeneity homogeneity NN 39713 6067 8 of of IN 39713 6067 9 space space NN 39713 6067 10 . . . 39713 6068 1 And and CC 39713 6068 2 , , , 39713 6068 3 at at IN 39713 6068 4 the the DT 39713 6068 5 same same JJ 39713 6068 6 time time NN 39713 6068 7 , , , 39713 6068 8 this this DT 39713 6068 9 is be VBZ 39713 6068 10 why why WRB 39713 6068 11 space space NN 39713 6068 12 is be VBZ 39713 6068 13 relative relative JJ 39713 6068 14 , , , 39713 6068 15 since since IN 39713 6068 16 its -PRON- PRP$ 39713 6068 17 properties property NNS 39713 6068 18 remain remain VBP 39713 6068 19 the the DT 39713 6068 20 same same JJ 39713 6068 21 whether whether IN 39713 6068 22 it -PRON- PRP 39713 6068 23 be be VB 39713 6068 24 referred refer VBN 39713 6068 25 to to IN 39713 6068 26 the the DT 39713 6068 27 axes axis NNS 39713 6068 28 _ _ NNP 39713 6068 29 A A NNP 39713 6068 30 _ _ NNP 39713 6068 31 or or CC 39713 6068 32 to to IN 39713 6068 33 the the DT 39713 6068 34 axes axis NNS 39713 6068 35 _ _ NNP 39713 6068 36 B B NNP 39713 6068 37 _ _ NNP 39713 6068 38 . . . 39713 6069 1 So so RB 39713 6069 2 that that IN 39713 6069 3 the the DT 39713 6069 4 relativity relativity NN 39713 6069 5 of of IN 39713 6069 6 space space NN 39713 6069 7 and and CC 39713 6069 8 its -PRON- PRP$ 39713 6069 9 homogeneity homogeneity NN 39713 6069 10 are be VBP 39713 6069 11 one one CD 39713 6069 12 sole sole JJ 39713 6069 13 and and CC 39713 6069 14 same same JJ 39713 6069 15 thing thing NN 39713 6069 16 . . . 39713 6070 1 Now now RB 39713 6070 2 , , , 39713 6070 3 if if IN 39713 6070 4 I -PRON- PRP 39713 6070 5 wish wish VBP 39713 6070 6 to to TO 39713 6070 7 pass pass VB 39713 6070 8 to to IN 39713 6070 9 the the DT 39713 6070 10 great great JJ 39713 6070 11 space space NN 39713 6070 12 , , , 39713 6070 13 which which WDT 39713 6070 14 no no RB 39713 6070 15 longer long RBR 39713 6070 16 serves serve VBZ 39713 6070 17 only only RB 39713 6070 18 for for IN 39713 6070 19 me -PRON- PRP 39713 6070 20 , , , 39713 6070 21 but but CC 39713 6070 22 where where WRB 39713 6070 23 I -PRON- PRP 39713 6070 24 may may MD 39713 6070 25 lodge lodge VB 39713 6070 26 the the DT 39713 6070 27 universe universe NN 39713 6070 28 , , , 39713 6070 29 I -PRON- PRP 39713 6070 30 get get VBP 39713 6070 31 there there RB 39713 6070 32 by by IN 39713 6070 33 an an DT 39713 6070 34 act act NN 39713 6070 35 of of IN 39713 6070 36 imagination imagination NN 39713 6070 37 . . . 39713 6071 1 I -PRON- PRP 39713 6071 2 imagine imagine VBP 39713 6071 3 how how WRB 39713 6071 4 a a DT 39713 6071 5 giant giant NN 39713 6071 6 would would MD 39713 6071 7 feel feel VB 39713 6071 8 who who WP 39713 6071 9 could could MD 39713 6071 10 reach reach VB 39713 6071 11 the the DT 39713 6071 12 planets planet NNS 39713 6071 13 in in IN 39713 6071 14 a a DT 39713 6071 15 few few JJ 39713 6071 16 steps step NNS 39713 6071 17 ; ; : 39713 6071 18 or or CC 39713 6071 19 , , , 39713 6071 20 if if IN 39713 6071 21 you -PRON- PRP 39713 6071 22 choose choose VBP 39713 6071 23 , , , 39713 6071 24 what what WP 39713 6071 25 I -PRON- PRP 39713 6071 26 myself -PRON- PRP 39713 6071 27 should should MD 39713 6071 28 feel feel VB 39713 6071 29 in in IN 39713 6071 30 presence presence NN 39713 6071 31 of of IN 39713 6071 32 a a DT 39713 6071 33 miniature miniature JJ 39713 6071 34 world world NN 39713 6071 35 where where WRB 39713 6071 36 these these DT 39713 6071 37 planets planet NNS 39713 6071 38 were be VBD 39713 6071 39 replaced replace VBN 39713 6071 40 by by IN 39713 6071 41 little little JJ 39713 6071 42 balls ball NNS 39713 6071 43 , , , 39713 6071 44 while while IN 39713 6071 45 on on IN 39713 6071 46 one one CD 39713 6071 47 of of IN 39713 6071 48 these these DT 39713 6071 49 little little JJ 39713 6071 50 balls ball NNS 39713 6071 51 moved move VBD 39713 6071 52 a a DT 39713 6071 53 liliputian liliputian NN 39713 6071 54 I -PRON- PRP 39713 6071 55 should should MD 39713 6071 56 call call VB 39713 6071 57 myself -PRON- PRP 39713 6071 58 . . . 39713 6072 1 But but CC 39713 6072 2 this this DT 39713 6072 3 act act NN 39713 6072 4 of of IN 39713 6072 5 imagination imagination NN 39713 6072 6 would would MD 39713 6072 7 be be VB 39713 6072 8 impossible impossible JJ 39713 6072 9 for for IN 39713 6072 10 me -PRON- PRP 39713 6072 11 had have VBD 39713 6072 12 I -PRON- PRP 39713 6072 13 not not RB 39713 6072 14 previously previously RB 39713 6072 15 constructed construct VBN 39713 6072 16 my -PRON- PRP$ 39713 6072 17 restricted restrict VBN 39713 6072 18 space space NN 39713 6072 19 and and CC 39713 6072 20 my -PRON- PRP$ 39713 6072 21 extended extended JJ 39713 6072 22 space space NN 39713 6072 23 for for IN 39713 6072 24 my -PRON- PRP$ 39713 6072 25 own own JJ 39713 6072 26 use use NN 39713 6072 27 . . . 39713 6073 1 IV IV NNP 39713 6073 2 Why why WRB 39713 6073 3 now now RB 39713 6073 4 have have VBP 39713 6073 5 all all PDT 39713 6073 6 these these DT 39713 6073 7 spaces space NNS 39713 6073 8 three three CD 39713 6073 9 dimensions dimension NNS 39713 6073 10 ? ? . 39713 6074 1 Go go VB 39713 6074 2 back back RB 39713 6074 3 to to IN 39713 6074 4 the the DT 39713 6074 5 " " `` 39713 6074 6 table table NN 39713 6074 7 of of IN 39713 6074 8 distribution distribution NN 39713 6074 9 " " '' 39713 6074 10 of of IN 39713 6074 11 which which WDT 39713 6074 12 we -PRON- PRP 39713 6074 13 have have VBP 39713 6074 14 spoken speak VBN 39713 6074 15 . . . 39713 6075 1 We -PRON- PRP 39713 6075 2 have have VBP 39713 6075 3 on on IN 39713 6075 4 the the DT 39713 6075 5 one one CD 39713 6075 6 side side NN 39713 6075 7 the the DT 39713 6075 8 list list NN 39713 6075 9 of of IN 39713 6075 10 the the DT 39713 6075 11 different different JJ 39713 6075 12 possible possible JJ 39713 6075 13 dangers danger NNS 39713 6075 14 ; ; : 39713 6075 15 designate designate VBP 39713 6075 16 them -PRON- PRP 39713 6075 17 by by IN 39713 6075 18 _ _ NNP 39713 6075 19 A1 A1 NNP 39713 6075 20 _ _ NNP 39713 6075 21 , , , 39713 6075 22 _ _ NNP 39713 6075 23 A2 A2 NNP 39713 6075 24 _ _ NNP 39713 6075 25 , , , 39713 6075 26 etc etc FW 39713 6075 27 . . . 39713 6076 1 ; ; : 39713 6076 2 and and CC 39713 6076 3 , , , 39713 6076 4 on on IN 39713 6076 5 the the DT 39713 6076 6 other other JJ 39713 6076 7 side side NN 39713 6076 8 , , , 39713 6076 9 the the DT 39713 6076 10 list list NN 39713 6076 11 of of IN 39713 6076 12 the the DT 39713 6076 13 different different JJ 39713 6076 14 remedies remedy NNS 39713 6076 15 which which WDT 39713 6076 16 I -PRON- PRP 39713 6076 17 shall shall MD 39713 6076 18 call call VB 39713 6076 19 in in IN 39713 6076 20 the the DT 39713 6076 21 same same JJ 39713 6076 22 way way NN 39713 6076 23 _ _ NNP 39713 6076 24 B1 B1 NNP 39713 6076 25 _ _ NNP 39713 6076 26 , , , 39713 6076 27 _ _ NNP 39713 6076 28 B2 B2 NNP 39713 6076 29 _ _ NNP 39713 6076 30 , , , 39713 6076 31 etc etc FW 39713 6076 32 . . . 39713 6077 1 We -PRON- PRP 39713 6077 2 have have VBP 39713 6077 3 then then RB 39713 6077 4 connections connection NNS 39713 6077 5 between between IN 39713 6077 6 the the DT 39713 6077 7 contact contact NN 39713 6077 8 studs stud NNS 39713 6077 9 or or CC 39713 6077 10 push push VB 39713 6077 11 buttons button NNS 39713 6077 12 of of IN 39713 6077 13 the the DT 39713 6077 14 first first JJ 39713 6077 15 list list NN 39713 6077 16 and and CC 39713 6077 17 those those DT 39713 6077 18 of of IN 39713 6077 19 the the DT 39713 6077 20 second second JJ 39713 6077 21 , , , 39713 6077 22 so so IN 39713 6077 23 that that IN 39713 6077 24 when when WRB 39713 6077 25 , , , 39713 6077 26 for for IN 39713 6077 27 instance instance NN 39713 6077 28 , , , 39713 6077 29 the the DT 39713 6077 30 announcer announcer NN 39713 6077 31 of of IN 39713 6077 32 danger danger NN 39713 6077 33 _ _ NNP 39713 6077 34 A3 A3 NNP 39713 6077 35 _ _ NNP 39713 6077 36 functions function NNS 39713 6077 37 , , , 39713 6077 38 it -PRON- PRP 39713 6077 39 will will MD 39713 6077 40 put put VB 39713 6077 41 or or CC 39713 6077 42 may may MD 39713 6077 43 put put VB 39713 6077 44 in in IN 39713 6077 45 action action NN 39713 6077 46 the the DT 39713 6077 47 relay relay NN 39713 6077 48 corresponding correspond VBG 39713 6077 49 to to IN 39713 6077 50 the the DT 39713 6077 51 parry parry NN 39713 6077 52 _ _ NNP 39713 6077 53 B4 B4 NNP 39713 6077 54 _ _ NNP 39713 6077 55 . . . 39713 6078 1 As as IN 39713 6078 2 I -PRON- PRP 39713 6078 3 have have VBP 39713 6078 4 spoken speak VBN 39713 6078 5 above above RB 39713 6078 6 of of IN 39713 6078 7 centripetal centripetal JJ 39713 6078 8 or or CC 39713 6078 9 centrifugal centrifugal JJ 39713 6078 10 wires wire NNS 39713 6078 11 , , , 39713 6078 12 I -PRON- PRP 39713 6078 13 fear fear VBP 39713 6078 14 lest lest IN 39713 6078 15 one one CD 39713 6078 16 see see VBP 39713 6078 17 in in IN 39713 6078 18 all all PDT 39713 6078 19 this this DT 39713 6078 20 , , , 39713 6078 21 not not RB 39713 6078 22 a a DT 39713 6078 23 simple simple JJ 39713 6078 24 comparison comparison NN 39713 6078 25 , , , 39713 6078 26 but but CC 39713 6078 27 a a DT 39713 6078 28 description description NN 39713 6078 29 of of IN 39713 6078 30 the the DT 39713 6078 31 nervous nervous JJ 39713 6078 32 system system NN 39713 6078 33 . . . 39713 6079 1 Such such JJ 39713 6079 2 is be VBZ 39713 6079 3 not not RB 39713 6079 4 my -PRON- PRP$ 39713 6079 5 thought thought NN 39713 6079 6 , , , 39713 6079 7 and and CC 39713 6079 8 that that IN 39713 6079 9 for for IN 39713 6079 10 several several JJ 39713 6079 11 reasons reason NNS 39713 6079 12 : : : 39713 6079 13 first first RB 39713 6079 14 I -PRON- PRP 39713 6079 15 should should MD 39713 6079 16 not not RB 39713 6079 17 permit permit VB 39713 6079 18 myself -PRON- PRP 39713 6079 19 to to TO 39713 6079 20 put put VB 39713 6079 21 forth forth RP 39713 6079 22 an an DT 39713 6079 23 opinion opinion NN 39713 6079 24 on on IN 39713 6079 25 the the DT 39713 6079 26 structure structure NN 39713 6079 27 of of IN 39713 6079 28 the the DT 39713 6079 29 nervous nervous JJ 39713 6079 30 system system NN 39713 6079 31 which which WDT 39713 6079 32 I -PRON- PRP 39713 6079 33 do do VBP 39713 6079 34 not not RB 39713 6079 35 know know VB 39713 6079 36 , , , 39713 6079 37 while while IN 39713 6079 38 those those DT 39713 6079 39 who who WP 39713 6079 40 have have VBP 39713 6079 41 studied study VBN 39713 6079 42 it -PRON- PRP 39713 6079 43 speak speak VB 39713 6079 44 only only RB 39713 6079 45 circumspectly circumspectly RB 39713 6079 46 ; ; : 39713 6079 47 again again RB 39713 6079 48 because because IN 39713 6079 49 , , , 39713 6079 50 despite despite IN 39713 6079 51 my -PRON- PRP$ 39713 6079 52 incompetence incompetence NN 39713 6079 53 , , , 39713 6079 54 I -PRON- PRP 39713 6079 55 well well RB 39713 6079 56 know know VBP 39713 6079 57 this this DT 39713 6079 58 scheme scheme NN 39713 6079 59 would would MD 39713 6079 60 be be VB 39713 6079 61 too too RB 39713 6079 62 simplistic simplistic JJ 39713 6079 63 ; ; : 39713 6079 64 and and CC 39713 6079 65 finally finally RB 39713 6079 66 because because IN 39713 6079 67 on on IN 39713 6079 68 my -PRON- PRP$ 39713 6079 69 list list NN 39713 6079 70 of of IN 39713 6079 71 parries parry NNS 39713 6079 72 , , , 39713 6079 73 some some DT 39713 6079 74 would would MD 39713 6079 75 figure figure VB 39713 6079 76 very very RB 39713 6079 77 complex complex JJ 39713 6079 78 , , , 39713 6079 79 which which WDT 39713 6079 80 might may MD 39713 6079 81 even even RB 39713 6079 82 , , , 39713 6079 83 in in IN 39713 6079 84 the the DT 39713 6079 85 case case NN 39713 6079 86 of of IN 39713 6079 87 extended extended JJ 39713 6079 88 space space NN 39713 6079 89 , , , 39713 6079 90 as as IN 39713 6079 91 we -PRON- PRP 39713 6079 92 have have VBP 39713 6079 93 seen see VBN 39713 6079 94 above above RB 39713 6079 95 , , , 39713 6079 96 consist consist VB 39713 6079 97 of of IN 39713 6079 98 many many JJ 39713 6079 99 steps step NNS 39713 6079 100 followed follow VBN 39713 6079 101 by by IN 39713 6079 102 a a DT 39713 6079 103 movement movement NN 39713 6079 104 of of IN 39713 6079 105 the the DT 39713 6079 106 arm arm NN 39713 6079 107 . . . 39713 6080 1 It -PRON- PRP 39713 6080 2 is be VBZ 39713 6080 3 not not RB 39713 6080 4 a a DT 39713 6080 5 question question NN 39713 6080 6 then then RB 39713 6080 7 of of IN 39713 6080 8 physical physical JJ 39713 6080 9 connection connection NN 39713 6080 10 between between IN 39713 6080 11 two two CD 39713 6080 12 real real JJ 39713 6080 13 conductors conductor NNS 39713 6080 14 but but CC 39713 6080 15 of of IN 39713 6080 16 psychologic psychologic JJ 39713 6080 17 association association NNP 39713 6080 18 between between IN 39713 6080 19 two two CD 39713 6080 20 series serie NNS 39713 6080 21 of of IN 39713 6080 22 sensations sensation NNS 39713 6080 23 . . . 39713 6081 1 If if IN 39713 6081 2 _ _ NNP 39713 6081 3 A1 A1 NNP 39713 6081 4 _ _ NNP 39713 6081 5 and and CC 39713 6081 6 _ _ NNP 39713 6081 7 A2 A2 NNP 39713 6081 8 _ _ NNP 39713 6081 9 for for IN 39713 6081 10 instance instance NN 39713 6081 11 are be VBP 39713 6081 12 both both DT 39713 6081 13 associated associate VBN 39713 6081 14 with with IN 39713 6081 15 the the DT 39713 6081 16 parry parry NN 39713 6081 17 _ _ NNP 39713 6081 18 B1 B1 NNP 39713 6081 19 _ _ NNP 39713 6081 20 , , , 39713 6081 21 and and CC 39713 6081 22 if if IN 39713 6081 23 _ _ NNP 39713 6081 24 A1 A1 NNP 39713 6081 25 _ _ NNP 39713 6081 26 is be VBZ 39713 6081 27 likewise likewise RB 39713 6081 28 associated associate VBN 39713 6081 29 with with IN 39713 6081 30 the the DT 39713 6081 31 parry parry NN 39713 6081 32 _ _ NNP 39713 6081 33 B2 B2 NNP 39713 6081 34 _ _ NNP 39713 6081 35 , , , 39713 6081 36 it -PRON- PRP 39713 6081 37 will will MD 39713 6081 38 generally generally RB 39713 6081 39 happen happen VB 39713 6081 40 that that IN 39713 6081 41 _ _ NNP 39713 6081 42 A2 A2 NNP 39713 6081 43 _ _ NNP 39713 6081 44 and and CC 39713 6081 45 _ _ NNP 39713 6081 46 B2 B2 NNP 39713 6081 47 _ _ NNP 39713 6081 48 will will MD 39713 6081 49 also also RB 39713 6081 50 themselves -PRON- PRP 39713 6081 51 be be VB 39713 6081 52 associated associate VBN 39713 6081 53 . . . 39713 6082 1 If if IN 39713 6082 2 this this DT 39713 6082 3 fundamental fundamental JJ 39713 6082 4 law law NN 39713 6082 5 were be VBD 39713 6082 6 not not RB 39713 6082 7 generally generally RB 39713 6082 8 true true JJ 39713 6082 9 , , , 39713 6082 10 there there EX 39713 6082 11 would would MD 39713 6082 12 exist exist VB 39713 6082 13 only only RB 39713 6082 14 an an DT 39713 6082 15 immense immense JJ 39713 6082 16 confusion confusion NN 39713 6082 17 and and CC 39713 6082 18 there there EX 39713 6082 19 would would MD 39713 6082 20 be be VB 39713 6082 21 nothing nothing NN 39713 6082 22 resembling resemble VBG 39713 6082 23 a a DT 39713 6082 24 conception conception NN 39713 6082 25 of of IN 39713 6082 26 space space NN 39713 6082 27 or or CC 39713 6082 28 a a DT 39713 6082 29 geometry geometry NN 39713 6082 30 . . . 39713 6083 1 How how WRB 39713 6083 2 in in IN 39713 6083 3 fact fact NN 39713 6083 4 have have VBP 39713 6083 5 we -PRON- PRP 39713 6083 6 defined define VBN 39713 6083 7 a a DT 39713 6083 8 point point NN 39713 6083 9 of of IN 39713 6083 10 space space NN 39713 6083 11 . . . 39713 6084 1 We -PRON- PRP 39713 6084 2 have have VBP 39713 6084 3 done do VBN 39713 6084 4 it -PRON- PRP 39713 6084 5 in in IN 39713 6084 6 two two CD 39713 6084 7 ways way NNS 39713 6084 8 : : : 39713 6084 9 it -PRON- PRP 39713 6084 10 is be VBZ 39713 6084 11 on on IN 39713 6084 12 the the DT 39713 6084 13 one one CD 39713 6084 14 hand hand NN 39713 6084 15 the the DT 39713 6084 16 aggregate aggregate NN 39713 6084 17 of of IN 39713 6084 18 announcers announcer NNS 39713 6084 19 _ _ NNP 39713 6084 20 A A NNP 39713 6084 21 _ _ NNP 39713 6084 22 in in IN 39713 6084 23 connection connection NN 39713 6084 24 with with IN 39713 6084 25 the the DT 39713 6084 26 same same JJ 39713 6084 27 parry parry NN 39713 6084 28 _ _ NNP 39713 6084 29 B B NNP 39713 6084 30 _ _ NNP 39713 6084 31 ; ; : 39713 6084 32 it -PRON- PRP 39713 6084 33 is be VBZ 39713 6084 34 on on IN 39713 6084 35 the the DT 39713 6084 36 other other JJ 39713 6084 37 hand hand NN 39713 6084 38 the the DT 39713 6084 39 aggregate aggregate NN 39713 6084 40 of of IN 39713 6084 41 parries parry NNS 39713 6084 42 _ _ NNP 39713 6084 43 B B NNP 39713 6084 44 _ _ NNP 39713 6084 45 in in IN 39713 6084 46 connection connection NN 39713 6084 47 with with IN 39713 6084 48 the the DT 39713 6084 49 same same JJ 39713 6084 50 announcer announcer NN 39713 6084 51 _ _ NNP 39713 6084 52 A A NNP 39713 6084 53 _ _ NNP 39713 6084 54 . . . 39713 6085 1 If if IN 39713 6085 2 our -PRON- PRP$ 39713 6085 3 law law NN 39713 6085 4 was be VBD 39713 6085 5 not not RB 39713 6085 6 true true JJ 39713 6085 7 , , , 39713 6085 8 we -PRON- PRP 39713 6085 9 should should MD 39713 6085 10 say say VB 39713 6085 11 _ _ NNP 39713 6085 12 A1 A1 NNP 39713 6085 13 _ _ NNP 39713 6085 14 and and CC 39713 6085 15 _ _ NNP 39713 6085 16 A2 A2 NNP 39713 6085 17 _ _ NNP 39713 6085 18 correspond correspond NN 39713 6085 19 to to IN 39713 6085 20 the the DT 39713 6085 21 same same JJ 39713 6085 22 point point NN 39713 6085 23 since since IN 39713 6085 24 they -PRON- PRP 39713 6085 25 are be VBP 39713 6085 26 both both DT 39713 6085 27 in in IN 39713 6085 28 connection connection NN 39713 6085 29 with with IN 39713 6085 30 _ _ NNP 39713 6085 31 B1 B1 NNP 39713 6085 32 _ _ NNP 39713 6085 33 ; ; : 39713 6085 34 but but CC 39713 6085 35 we -PRON- PRP 39713 6085 36 should should MD 39713 6085 37 likewise likewise RB 39713 6085 38 say say VB 39713 6085 39 they -PRON- PRP 39713 6085 40 do do VBP 39713 6085 41 not not RB 39713 6085 42 correspond correspond VB 39713 6085 43 to to IN 39713 6085 44 the the DT 39713 6085 45 same same JJ 39713 6085 46 point point NN 39713 6085 47 , , , 39713 6085 48 since since IN 39713 6085 49 _ _ NNP 39713 6085 50 A1 A1 NNP 39713 6085 51 _ _ NNP 39713 6085 52 would would MD 39713 6085 53 be be VB 39713 6085 54 in in IN 39713 6085 55 connection connection NN 39713 6085 56 with with IN 39713 6085 57 _ _ NNP 39713 6085 58 B2 B2 NNP 39713 6085 59 _ _ NNP 39713 6085 60 and and CC 39713 6085 61 the the DT 39713 6085 62 same same JJ 39713 6085 63 would would MD 39713 6085 64 not not RB 39713 6085 65 be be VB 39713 6085 66 true true JJ 39713 6085 67 of of IN 39713 6085 68 _ _ NNP 39713 6085 69 A2 A2 NNP 39713 6085 70 _ _ NNP 39713 6085 71 . . . 39713 6086 1 This this DT 39713 6086 2 would would MD 39713 6086 3 be be VB 39713 6086 4 a a DT 39713 6086 5 contradiction contradiction NN 39713 6086 6 . . . 39713 6087 1 But but CC 39713 6087 2 , , , 39713 6087 3 from from IN 39713 6087 4 another another DT 39713 6087 5 side side NN 39713 6087 6 , , , 39713 6087 7 if if IN 39713 6087 8 the the DT 39713 6087 9 law law NN 39713 6087 10 were be VBD 39713 6087 11 rigorously rigorously RB 39713 6087 12 and and CC 39713 6087 13 always always RB 39713 6087 14 true true JJ 39713 6087 15 , , , 39713 6087 16 space space NN 39713 6087 17 would would MD 39713 6087 18 be be VB 39713 6087 19 very very RB 39713 6087 20 different different JJ 39713 6087 21 from from IN 39713 6087 22 what what WP 39713 6087 23 it -PRON- PRP 39713 6087 24 is be VBZ 39713 6087 25 . . . 39713 6088 1 We -PRON- PRP 39713 6088 2 should should MD 39713 6088 3 have have VB 39713 6088 4 categories category NNS 39713 6088 5 strongly strongly RB 39713 6088 6 contrasted contrast VBN 39713 6088 7 between between IN 39713 6088 8 which which WDT 39713 6088 9 would would MD 39713 6088 10 be be VB 39713 6088 11 portioned portion VBN 39713 6088 12 out out RP 39713 6088 13 on on IN 39713 6088 14 the the DT 39713 6088 15 one one CD 39713 6088 16 hand hand NN 39713 6088 17 the the DT 39713 6088 18 announcers announcer NNS 39713 6088 19 _ _ NNP 39713 6088 20 A A NNP 39713 6088 21 _ _ NNP 39713 6088 22 , , , 39713 6088 23 on on IN 39713 6088 24 the the DT 39713 6088 25 other other JJ 39713 6088 26 hand hand NN 39713 6088 27 the the DT 39713 6088 28 parries parry NNS 39713 6088 29 _ _ NNP 39713 6088 30 B B NNP 39713 6088 31 _ _ NNP 39713 6088 32 ; ; : 39713 6088 33 these these DT 39713 6088 34 categories category NNS 39713 6088 35 would would MD 39713 6088 36 be be VB 39713 6088 37 excessively excessively RB 39713 6088 38 numerous numerous JJ 39713 6088 39 , , , 39713 6088 40 but but CC 39713 6088 41 they -PRON- PRP 39713 6088 42 would would MD 39713 6088 43 be be VB 39713 6088 44 entirely entirely RB 39713 6088 45 separated separate VBN 39713 6088 46 one one CD 39713 6088 47 from from IN 39713 6088 48 another another DT 39713 6088 49 . . . 39713 6089 1 Space space NN 39713 6089 2 would would MD 39713 6089 3 be be VB 39713 6089 4 composed compose VBN 39713 6089 5 of of IN 39713 6089 6 points point NNS 39713 6089 7 very very RB 39713 6089 8 numerous numerous JJ 39713 6089 9 , , , 39713 6089 10 but but CC 39713 6089 11 discrete discrete JJ 39713 6089 12 ; ; : 39713 6089 13 it -PRON- PRP 39713 6089 14 would would MD 39713 6089 15 be be VB 39713 6089 16 _ _ NNP 39713 6089 17 discontinuous discontinuous JJ 39713 6089 18 _ _ NNP 39713 6089 19 . . . 39713 6090 1 There there EX 39713 6090 2 would would MD 39713 6090 3 be be VB 39713 6090 4 no no DT 39713 6090 5 reason reason NN 39713 6090 6 for for IN 39713 6090 7 ranging range VBG 39713 6090 8 these these DT 39713 6090 9 points point NNS 39713 6090 10 in in IN 39713 6090 11 one one CD 39713 6090 12 order order NN 39713 6090 13 rather rather RB 39713 6090 14 than than IN 39713 6090 15 another another DT 39713 6090 16 , , , 39713 6090 17 nor nor CC 39713 6090 18 consequently consequently RB 39713 6090 19 for for IN 39713 6090 20 attributing attribute VBG 39713 6090 21 to to TO 39713 6090 22 space space NN 39713 6090 23 three three CD 39713 6090 24 dimensions dimension NNS 39713 6090 25 . . . 39713 6091 1 But but CC 39713 6091 2 it -PRON- PRP 39713 6091 3 is be VBZ 39713 6091 4 not not RB 39713 6091 5 so so RB 39713 6091 6 ; ; : 39713 6091 7 permit permit VB 39713 6091 8 me -PRON- PRP 39713 6091 9 to to TO 39713 6091 10 resume resume VB 39713 6091 11 for for IN 39713 6091 12 a a DT 39713 6091 13 moment moment NN 39713 6091 14 the the DT 39713 6091 15 language language NN 39713 6091 16 of of IN 39713 6091 17 those those DT 39713 6091 18 who who WP 39713 6091 19 already already RB 39713 6091 20 know know VBP 39713 6091 21 geometry geometry NN 39713 6091 22 ; ; : 39713 6091 23 this this DT 39713 6091 24 is be VBZ 39713 6091 25 quite quite RB 39713 6091 26 proper proper JJ 39713 6091 27 since since IN 39713 6091 28 this this DT 39713 6091 29 is be VBZ 39713 6091 30 the the DT 39713 6091 31 language language NN 39713 6091 32 best well RBS 39713 6091 33 understood understand VBD 39713 6091 34 by by IN 39713 6091 35 those those DT 39713 6091 36 I -PRON- PRP 39713 6091 37 wish wish VBP 39713 6091 38 to to TO 39713 6091 39 make make VB 39713 6091 40 understand understand VB 39713 6091 41 me -PRON- PRP 39713 6091 42 . . . 39713 6092 1 When when WRB 39713 6092 2 I -PRON- PRP 39713 6092 3 desire desire VBP 39713 6092 4 to to TO 39713 6092 5 parry parry VB 39713 6092 6 the the DT 39713 6092 7 stroke stroke NN 39713 6092 8 , , , 39713 6092 9 I -PRON- PRP 39713 6092 10 seek seek VBP 39713 6092 11 to to TO 39713 6092 12 attain attain VB 39713 6092 13 the the DT 39713 6092 14 point point NN 39713 6092 15 whence whence NN 39713 6092 16 comes come VBZ 39713 6092 17 this this DT 39713 6092 18 blow blow NN 39713 6092 19 , , , 39713 6092 20 but but CC 39713 6092 21 it -PRON- PRP 39713 6092 22 suffices suffice VBZ 39713 6092 23 that that IN 39713 6092 24 I -PRON- PRP 39713 6092 25 approach approach VBP 39713 6092 26 quite quite RB 39713 6092 27 near near RB 39713 6092 28 . . . 39713 6093 1 Then then RB 39713 6093 2 the the DT 39713 6093 3 parry parry NN 39713 6093 4 _ _ NNP 39713 6093 5 B1 B1 NNP 39713 6093 6 _ _ NNP 39713 6093 7 may may MD 39713 6093 8 answer answer VB 39713 6093 9 for for IN 39713 6093 10 _ _ NNP 39713 6093 11 A1 A1 NNP 39713 6093 12 _ _ NNP 39713 6093 13 and and CC 39713 6093 14 for for IN 39713 6093 15 _ _ NNP 39713 6093 16 A2 A2 NNP 39713 6093 17 _ _ NNP 39713 6093 18 , , , 39713 6093 19 if if IN 39713 6093 20 the the DT 39713 6093 21 point point NN 39713 6093 22 which which WDT 39713 6093 23 corresponds correspond VBZ 39713 6093 24 to to IN 39713 6093 25 _ _ NNP 39713 6093 26 B1 B1 NNP 39713 6093 27 _ _ NNP 39713 6093 28 is be VBZ 39713 6093 29 sufficiently sufficiently RB 39713 6093 30 near near IN 39713 6093 31 both both DT 39713 6093 32 to to IN 39713 6093 33 that that DT 39713 6093 34 corresponding correspond VBG 39713 6093 35 to to IN 39713 6093 36 _ _ NNP 39713 6093 37 A1 A1 NNP 39713 6093 38 _ _ NNP 39713 6093 39 and and CC 39713 6093 40 to to IN 39713 6093 41 that that DT 39713 6093 42 corresponding correspond VBG 39713 6093 43 to to IN 39713 6093 44 _ _ NNP 39713 6093 45 A2 A2 NNP 39713 6093 46 _ _ NNP 39713 6093 47 . . . 39713 6094 1 But but CC 39713 6094 2 it -PRON- PRP 39713 6094 3 may may MD 39713 6094 4 happen happen VB 39713 6094 5 that that IN 39713 6094 6 the the DT 39713 6094 7 point point NN 39713 6094 8 corresponding correspond VBG 39713 6094 9 to to IN 39713 6094 10 another another DT 39713 6094 11 parry parry NN 39713 6094 12 _ _ NNP 39713 6094 13 B2 B2 NNP 39713 6094 14 _ _ NNP 39713 6094 15 may may MD 39713 6094 16 be be VB 39713 6094 17 sufficiently sufficiently RB 39713 6094 18 near near JJ 39713 6094 19 to to IN 39713 6094 20 the the DT 39713 6094 21 point point NN 39713 6094 22 corresponding correspond VBG 39713 6094 23 to to IN 39713 6094 24 A1 A1 NNP 39713 6094 25 and and CC 39713 6094 26 not not RB 39713 6094 27 sufficiently sufficiently RB 39713 6094 28 near near IN 39713 6094 29 the the DT 39713 6094 30 point point NN 39713 6094 31 corresponding correspond VBG 39713 6094 32 to to IN 39713 6094 33 _ _ NNP 39713 6094 34 A2 A2 NNP 39713 6094 35 _ _ NNP 39713 6094 36 ; ; : 39713 6094 37 so so IN 39713 6094 38 that that IN 39713 6094 39 the the DT 39713 6094 40 parry parry NN 39713 6094 41 _ _ NNP 39713 6094 42 B2 B2 NNP 39713 6094 43 _ _ NNP 39713 6094 44 may may MD 39713 6094 45 answer answer VB 39713 6094 46 for for IN 39713 6094 47 _ _ NNP 39713 6094 48 A1 A1 NNP 39713 6094 49 _ _ NNP 39713 6094 50 without without IN 39713 6094 51 answering answer VBG 39713 6094 52 for for IN 39713 6094 53 _ _ NNP 39713 6094 54 A2 A2 NNP 39713 6094 55 _ _ NNP 39713 6094 56 . . . 39713 6095 1 For for IN 39713 6095 2 one one CD 39713 6095 3 who who WP 39713 6095 4 does do VBZ 39713 6095 5 not not RB 39713 6095 6 yet yet RB 39713 6095 7 know know VB 39713 6095 8 geometry geometry NN 39713 6095 9 , , , 39713 6095 10 this this DT 39713 6095 11 translates translate VBZ 39713 6095 12 itself -PRON- PRP 39713 6095 13 simply simply RB 39713 6095 14 by by IN 39713 6095 15 a a DT 39713 6095 16 derogation derogation NN 39713 6095 17 of of IN 39713 6095 18 the the DT 39713 6095 19 law law NN 39713 6095 20 stated state VBN 39713 6095 21 above above RB 39713 6095 22 . . . 39713 6096 1 And and CC 39713 6096 2 then then RB 39713 6096 3 things thing NNS 39713 6096 4 will will MD 39713 6096 5 happen happen VB 39713 6096 6 thus thus RB 39713 6096 7 : : : 39713 6096 8 Two two CD 39713 6096 9 parries parry NNS 39713 6096 10 _ _ NNP 39713 6096 11 B1 B1 NNP 39713 6096 12 _ _ NNP 39713 6096 13 and and CC 39713 6096 14 _ _ NNP 39713 6096 15 B2 B2 NNP 39713 6096 16 _ _ NNP 39713 6096 17 will will MD 39713 6096 18 be be VB 39713 6096 19 associated associate VBN 39713 6096 20 with with IN 39713 6096 21 the the DT 39713 6096 22 same same JJ 39713 6096 23 warning warning NN 39713 6096 24 _ _ NNP 39713 6096 25 A1 A1 NNP 39713 6096 26 _ _ NNP 39713 6096 27 and and CC 39713 6096 28 with with IN 39713 6096 29 a a DT 39713 6096 30 large large JJ 39713 6096 31 number number NN 39713 6096 32 of of IN 39713 6096 33 warnings warning NNS 39713 6096 34 which which WDT 39713 6096 35 we -PRON- PRP 39713 6096 36 shall shall MD 39713 6096 37 range range VB 39713 6096 38 in in IN 39713 6096 39 the the DT 39713 6096 40 same same JJ 39713 6096 41 category category NN 39713 6096 42 as as IN 39713 6096 43 _ _ NNP 39713 6096 44 A1 A1 NNP 39713 6096 45 _ _ NNP 39713 6096 46 and and CC 39713 6096 47 which which WDT 39713 6096 48 we -PRON- PRP 39713 6096 49 shall shall MD 39713 6096 50 make make VB 39713 6096 51 correspond correspond NN 39713 6096 52 to to IN 39713 6096 53 the the DT 39713 6096 54 same same JJ 39713 6096 55 point point NN 39713 6096 56 of of IN 39713 6096 57 space space NN 39713 6096 58 . . . 39713 6097 1 But but CC 39713 6097 2 we -PRON- PRP 39713 6097 3 may may MD 39713 6097 4 find find VB 39713 6097 5 warnings warning NNS 39713 6097 6 _ _ NNP 39713 6097 7 A2 A2 NNP 39713 6097 8 _ _ NNP 39713 6097 9 which which WDT 39713 6097 10 will will MD 39713 6097 11 be be VB 39713 6097 12 associated associate VBN 39713 6097 13 with with IN 39713 6097 14 _ _ NNP 39713 6097 15 B2 B2 NNP 39713 6097 16 _ _ NNP 39713 6097 17 without without IN 39713 6097 18 being be VBG 39713 6097 19 associated associate VBN 39713 6097 20 with with IN 39713 6097 21 _ _ NNP 39713 6097 22 B1 B1 NNP 39713 6097 23 _ _ NNP 39713 6097 24 , , , 39713 6097 25 and and CC 39713 6097 26 which which WDT 39713 6097 27 in in IN 39713 6097 28 compensation compensation NN 39713 6097 29 will will MD 39713 6097 30 be be VB 39713 6097 31 associated associate VBN 39713 6097 32 with with IN 39713 6097 33 _ _ NNP 39713 6097 34 B3 B3 NNP 39713 6097 35 _ _ NNP 39713 6097 36 , , , 39713 6097 37 which which WDT 39713 6097 38 _ _ NNP 39713 6097 39 B3 B3 NNP 39713 6097 40 _ _ NNP 39713 6097 41 was be VBD 39713 6097 42 not not RB 39713 6097 43 associated associate VBN 39713 6097 44 with with IN 39713 6097 45 _ _ NNP 39713 6097 46 A1 A1 NNP 39713 6097 47 _ _ NNP 39713 6097 48 , , , 39713 6097 49 and and CC 39713 6097 50 so so RB 39713 6097 51 forth forth RB 39713 6097 52 , , , 39713 6097 53 so so IN 39713 6097 54 that that IN 39713 6097 55 we -PRON- PRP 39713 6097 56 may may MD 39713 6097 57 write write VB 39713 6097 58 the the DT 39713 6097 59 series series NN 39713 6097 60 _ _ NNP 39713 6097 61 B1 B1 NNP 39713 6097 62 _ _ NNP 39713 6097 63 , , , 39713 6097 64 _ _ NNP 39713 6097 65 A1 A1 NNP 39713 6097 66 _ _ NNP 39713 6097 67 , , , 39713 6097 68 _ _ NNP 39713 6097 69 B2 B2 NNP 39713 6097 70 _ _ NNP 39713 6097 71 , , , 39713 6097 72 _ _ NNP 39713 6097 73 A2 A2 NNP 39713 6097 74 _ _ NNP 39713 6097 75 , , , 39713 6097 76 _ _ NNP 39713 6097 77 B3 B3 NNP 39713 6097 78 _ _ NNP 39713 6097 79 , , , 39713 6097 80 _ _ NNP 39713 6097 81 A3 A3 NNP 39713 6097 82 _ _ NNP 39713 6097 83 , , , 39713 6097 84 _ _ NNP 39713 6097 85 B4 B4 NNP 39713 6097 86 _ _ NNP 39713 6097 87 , , , 39713 6097 88 _ _ NNP 39713 6097 89 A4 A4 NNP 39713 6097 90 _ _ NNP 39713 6097 91 , , , 39713 6097 92 where where WRB 39713 6097 93 each each DT 39713 6097 94 term term NN 39713 6097 95 is be VBZ 39713 6097 96 associated associate VBN 39713 6097 97 with with IN 39713 6097 98 the the DT 39713 6097 99 following following NN 39713 6097 100 and and CC 39713 6097 101 the the DT 39713 6097 102 preceding preceding NN 39713 6097 103 , , , 39713 6097 104 but but CC 39713 6097 105 not not RB 39713 6097 106 with with IN 39713 6097 107 the the DT 39713 6097 108 terms term NNS 39713 6097 109 several several JJ 39713 6097 110 places place NNS 39713 6097 111 away away RB 39713 6097 112 . . . 39713 6098 1 Needless needless JJ 39713 6098 2 to to TO 39713 6098 3 add add VB 39713 6098 4 that that IN 39713 6098 5 each each DT 39713 6098 6 of of IN 39713 6098 7 the the DT 39713 6098 8 terms term NNS 39713 6098 9 of of IN 39713 6098 10 these these DT 39713 6098 11 series series NN 39713 6098 12 is be VBZ 39713 6098 13 not not RB 39713 6098 14 isolated isolate VBN 39713 6098 15 , , , 39713 6098 16 but but CC 39713 6098 17 forms form VBZ 39713 6098 18 part part NN 39713 6098 19 of of IN 39713 6098 20 a a DT 39713 6098 21 very very RB 39713 6098 22 numerous numerous JJ 39713 6098 23 category category NN 39713 6098 24 of of IN 39713 6098 25 other other JJ 39713 6098 26 warnings warning NNS 39713 6098 27 or or CC 39713 6098 28 of of IN 39713 6098 29 other other JJ 39713 6098 30 parries parry NNS 39713 6098 31 which which WDT 39713 6098 32 have have VBP 39713 6098 33 the the DT 39713 6098 34 same same JJ 39713 6098 35 connections connection NNS 39713 6098 36 as as IN 39713 6098 37 it -PRON- PRP 39713 6098 38 , , , 39713 6098 39 and and CC 39713 6098 40 which which WDT 39713 6098 41 may may MD 39713 6098 42 be be VB 39713 6098 43 regarded regard VBN 39713 6098 44 as as IN 39713 6098 45 belonging belong VBG 39713 6098 46 to to IN 39713 6098 47 the the DT 39713 6098 48 same same JJ 39713 6098 49 point point NN 39713 6098 50 of of IN 39713 6098 51 space space NN 39713 6098 52 . . . 39713 6099 1 The the DT 39713 6099 2 fundamental fundamental JJ 39713 6099 3 law law NN 39713 6099 4 , , , 39713 6099 5 though though IN 39713 6099 6 admitting admit VBG 39713 6099 7 of of IN 39713 6099 8 exceptions exception NNS 39713 6099 9 , , , 39713 6099 10 remains remain VBZ 39713 6099 11 therefore therefore RB 39713 6099 12 almost almost RB 39713 6099 13 always always RB 39713 6099 14 true true JJ 39713 6099 15 . . . 39713 6100 1 Only only RB 39713 6100 2 , , , 39713 6100 3 in in IN 39713 6100 4 consequence consequence NN 39713 6100 5 of of IN 39713 6100 6 these these DT 39713 6100 7 exceptions exception NNS 39713 6100 8 , , , 39713 6100 9 these these DT 39713 6100 10 categories category NNS 39713 6100 11 , , , 39713 6100 12 in in IN 39713 6100 13 place place NN 39713 6100 14 of of IN 39713 6100 15 being be VBG 39713 6100 16 entirely entirely RB 39713 6100 17 separated separate VBN 39713 6100 18 , , , 39713 6100 19 encroach encroach NN 39713 6100 20 partially partially RB 39713 6100 21 one one CD 39713 6100 22 upon upon IN 39713 6100 23 another another DT 39713 6100 24 and and CC 39713 6100 25 mutually mutually RB 39713 6100 26 penetrate penetrate VB 39713 6100 27 in in IN 39713 6100 28 a a DT 39713 6100 29 certain certain JJ 39713 6100 30 measure measure NN 39713 6100 31 , , , 39713 6100 32 so so IN 39713 6100 33 that that IN 39713 6100 34 space space NN 39713 6100 35 becomes become VBZ 39713 6100 36 continuous continuous JJ 39713 6100 37 . . . 39713 6101 1 On on IN 39713 6101 2 the the DT 39713 6101 3 other other JJ 39713 6101 4 hand hand NN 39713 6101 5 , , , 39713 6101 6 the the DT 39713 6101 7 order order NN 39713 6101 8 in in IN 39713 6101 9 which which WDT 39713 6101 10 these these DT 39713 6101 11 categories category NNS 39713 6101 12 are be VBP 39713 6101 13 to to TO 39713 6101 14 be be VB 39713 6101 15 ranged range VBN 39713 6101 16 is be VBZ 39713 6101 17 no no DT 39713 6101 18 longer long RBR 39713 6101 19 arbitrary arbitrary JJ 39713 6101 20 , , , 39713 6101 21 and and CC 39713 6101 22 if if IN 39713 6101 23 we -PRON- PRP 39713 6101 24 refer refer VBP 39713 6101 25 to to IN 39713 6101 26 the the DT 39713 6101 27 preceding precede VBG 39713 6101 28 series series NN 39713 6101 29 , , , 39713 6101 30 we -PRON- PRP 39713 6101 31 see see VBP 39713 6101 32 it -PRON- PRP 39713 6101 33 is be VBZ 39713 6101 34 necessary necessary JJ 39713 6101 35 to to TO 39713 6101 36 put put VB 39713 6101 37 _ _ NNP 39713 6101 38 B2 B2 NNP 39713 6101 39 _ _ NNP 39713 6101 40 between between IN 39713 6101 41 _ _ NNP 39713 6101 42 A1 A1 NNP 39713 6101 43 _ _ NNP 39713 6101 44 and and CC 39713 6101 45 _ _ NNP 39713 6101 46 A2 A2 NNP 39713 6101 47 _ _ NNP 39713 6101 48 and and CC 39713 6101 49 consequently consequently RB 39713 6101 50 between between IN 39713 6101 51 _ _ NNP 39713 6101 52 B1 B1 NNP 39713 6101 53 _ _ NNP 39713 6101 54 and and CC 39713 6101 55 _ _ NNP 39713 6101 56 B3 B3 NNP 39713 6101 57 _ _ NNP 39713 6101 58 and and CC 39713 6101 59 that that IN 39713 6101 60 we -PRON- PRP 39713 6101 61 could could MD 39713 6101 62 not not RB 39713 6101 63 for for IN 39713 6101 64 instance instance NN 39713 6101 65 put put VB 39713 6101 66 it -PRON- PRP 39713 6101 67 between between IN 39713 6101 68 _ _ NNP 39713 6101 69 B3 B3 NNP 39713 6101 70 _ _ NNP 39713 6101 71 and and CC 39713 6101 72 _ _ NNP 39713 6101 73 B4 B4 NNP 39713 6101 74 _ _ NNP 39713 6101 75 . . . 39713 6102 1 There there EX 39713 6102 2 is be VBZ 39713 6102 3 therefore therefore RB 39713 6102 4 an an DT 39713 6102 5 order order NN 39713 6102 6 in in IN 39713 6102 7 which which WDT 39713 6102 8 are be VBP 39713 6102 9 naturally naturally RB 39713 6102 10 arranged arrange VBN 39713 6102 11 our -PRON- PRP$ 39713 6102 12 categories category NNS 39713 6102 13 which which WDT 39713 6102 14 correspond correspond VBP 39713 6102 15 to to IN 39713 6102 16 the the DT 39713 6102 17 points point NNS 39713 6102 18 of of IN 39713 6102 19 space space NN 39713 6102 20 , , , 39713 6102 21 and and CC 39713 6102 22 experience experience NN 39713 6102 23 teaches teach VBZ 39713 6102 24 us -PRON- PRP 39713 6102 25 that that IN 39713 6102 26 this this DT 39713 6102 27 order order NN 39713 6102 28 presents present VBZ 39713 6102 29 itself -PRON- PRP 39713 6102 30 under under IN 39713 6102 31 the the DT 39713 6102 32 form form NN 39713 6102 33 of of IN 39713 6102 34 a a DT 39713 6102 35 table table NN 39713 6102 36 of of IN 39713 6102 37 triple triple JJ 39713 6102 38 entry entry NN 39713 6102 39 , , , 39713 6102 40 and and CC 39713 6102 41 this this DT 39713 6102 42 is be VBZ 39713 6102 43 why why WRB 39713 6102 44 space space NN 39713 6102 45 has have VBZ 39713 6102 46 three three CD 39713 6102 47 dimensions dimension NNS 39713 6102 48 . . . 39713 6103 1 V V NNP 39713 6103 2 So so RB 39713 6103 3 the the DT 39713 6103 4 characteristic characteristic JJ 39713 6103 5 property property NN 39713 6103 6 of of IN 39713 6103 7 space space NN 39713 6103 8 , , , 39713 6103 9 that that DT 39713 6103 10 of of IN 39713 6103 11 having have VBG 39713 6103 12 three three CD 39713 6103 13 dimensions dimension NNS 39713 6103 14 , , , 39713 6103 15 is be VBZ 39713 6103 16 only only RB 39713 6103 17 a a DT 39713 6103 18 property property NN 39713 6103 19 of of IN 39713 6103 20 our -PRON- PRP$ 39713 6103 21 table table NN 39713 6103 22 of of IN 39713 6103 23 distribution distribution NN 39713 6103 24 , , , 39713 6103 25 an an DT 39713 6103 26 internal internal JJ 39713 6103 27 property property NN 39713 6103 28 of of IN 39713 6103 29 the the DT 39713 6103 30 human human JJ 39713 6103 31 intelligence intelligence NN 39713 6103 32 , , , 39713 6103 33 so so RB 39713 6103 34 to to TO 39713 6103 35 speak speak VB 39713 6103 36 . . . 39713 6104 1 It -PRON- PRP 39713 6104 2 would would MD 39713 6104 3 suffice suffice VB 39713 6104 4 to to TO 39713 6104 5 destroy destroy VB 39713 6104 6 certain certain JJ 39713 6104 7 of of IN 39713 6104 8 these these DT 39713 6104 9 connections connection NNS 39713 6104 10 , , , 39713 6104 11 that that DT 39713 6104 12 is be VBZ 39713 6104 13 to to TO 39713 6104 14 say say VB 39713 6104 15 of of IN 39713 6104 16 the the DT 39713 6104 17 associations association NNS 39713 6104 18 of of IN 39713 6104 19 ideas idea NNS 39713 6104 20 to to TO 39713 6104 21 give give VB 39713 6104 22 a a DT 39713 6104 23 different different JJ 39713 6104 24 table table NN 39713 6104 25 of of IN 39713 6104 26 distribution distribution NN 39713 6104 27 , , , 39713 6104 28 and and CC 39713 6104 29 that that DT 39713 6104 30 might may MD 39713 6104 31 be be VB 39713 6104 32 enough enough JJ 39713 6104 33 for for IN 39713 6104 34 space space NN 39713 6104 35 to to TO 39713 6104 36 acquire acquire VB 39713 6104 37 a a DT 39713 6104 38 fourth fourth JJ 39713 6104 39 dimension dimension NN 39713 6104 40 . . . 39713 6105 1 Some some DT 39713 6105 2 persons person NNS 39713 6105 3 will will MD 39713 6105 4 be be VB 39713 6105 5 astonished astonish VBN 39713 6105 6 at at IN 39713 6105 7 such such PDT 39713 6105 8 a a DT 39713 6105 9 result result NN 39713 6105 10 . . . 39713 6106 1 The the DT 39713 6106 2 external external JJ 39713 6106 3 world world NN 39713 6106 4 , , , 39713 6106 5 they -PRON- PRP 39713 6106 6 will will MD 39713 6106 7 think think VB 39713 6106 8 , , , 39713 6106 9 should should MD 39713 6106 10 count count VB 39713 6106 11 for for IN 39713 6106 12 something something NN 39713 6106 13 . . . 39713 6107 1 If if IN 39713 6107 2 the the DT 39713 6107 3 number number NN 39713 6107 4 of of IN 39713 6107 5 dimensions dimension NNS 39713 6107 6 comes come VBZ 39713 6107 7 from from IN 39713 6107 8 the the DT 39713 6107 9 way way NN 39713 6107 10 we -PRON- PRP 39713 6107 11 are be VBP 39713 6107 12 made make VBN 39713 6107 13 , , , 39713 6107 14 there there EX 39713 6107 15 might may MD 39713 6107 16 be be VB 39713 6107 17 thinking think VBG 39713 6107 18 beings being NNS 39713 6107 19 living live VBG 39713 6107 20 in in IN 39713 6107 21 our -PRON- PRP$ 39713 6107 22 world world NN 39713 6107 23 , , , 39713 6107 24 but but CC 39713 6107 25 who who WP 39713 6107 26 might may MD 39713 6107 27 be be VB 39713 6107 28 made make VBN 39713 6107 29 differently differently RB 39713 6107 30 from from IN 39713 6107 31 us -PRON- PRP 39713 6107 32 and and CC 39713 6107 33 who who WP 39713 6107 34 would would MD 39713 6107 35 believe believe VB 39713 6107 36 space space NN 39713 6107 37 has have VBZ 39713 6107 38 more more RBR 39713 6107 39 or or CC 39713 6107 40 less less JJR 39713 6107 41 than than IN 39713 6107 42 three three CD 39713 6107 43 dimensions dimension NNS 39713 6107 44 . . . 39713 6108 1 Has have VBZ 39713 6108 2 not not RB 39713 6108 3 M. M. NNP 39713 6108 4 de de NNP 39713 6108 5 Cyon Cyon NNP 39713 6108 6 said say VBD 39713 6108 7 that that IN 39713 6108 8 the the DT 39713 6108 9 Japanese japanese JJ 39713 6108 10 mice mouse NNS 39713 6108 11 , , , 39713 6108 12 having have VBG 39713 6108 13 only only RB 39713 6108 14 two two CD 39713 6108 15 pair pair NN 39713 6108 16 of of IN 39713 6108 17 semicircular semicircular JJ 39713 6108 18 canals canal NNS 39713 6108 19 , , , 39713 6108 20 believe believe VBP 39713 6108 21 that that IN 39713 6108 22 space space NN 39713 6108 23 is be VBZ 39713 6108 24 two two CD 39713 6108 25 - - HYPH 39713 6108 26 dimensional dimensional JJ 39713 6108 27 ? ? . 39713 6109 1 And and CC 39713 6109 2 then then RB 39713 6109 3 this this DT 39713 6109 4 thinking thinking NN 39713 6109 5 being being NN 39713 6109 6 , , , 39713 6109 7 if if IN 39713 6109 8 he -PRON- PRP 39713 6109 9 is be VBZ 39713 6109 10 capable capable JJ 39713 6109 11 of of IN 39713 6109 12 constructing construct VBG 39713 6109 13 a a DT 39713 6109 14 physics physics NN 39713 6109 15 , , , 39713 6109 16 would would MD 39713 6109 17 he -PRON- PRP 39713 6109 18 not not RB 39713 6109 19 make make VB 39713 6109 20 a a DT 39713 6109 21 physics physics NN 39713 6109 22 of of IN 39713 6109 23 two two CD 39713 6109 24 or or CC 39713 6109 25 of of IN 39713 6109 26 four four CD 39713 6109 27 dimensions dimension NNS 39713 6109 28 , , , 39713 6109 29 and and CC 39713 6109 30 which which WDT 39713 6109 31 in in IN 39713 6109 32 a a DT 39713 6109 33 sense sense NN 39713 6109 34 would would MD 39713 6109 35 still still RB 39713 6109 36 be be VB 39713 6109 37 the the DT 39713 6109 38 same same JJ 39713 6109 39 as as IN 39713 6109 40 ours our NNS 39713 6109 41 , , , 39713 6109 42 since since IN 39713 6109 43 it -PRON- PRP 39713 6109 44 would would MD 39713 6109 45 be be VB 39713 6109 46 the the DT 39713 6109 47 description description NN 39713 6109 48 of of IN 39713 6109 49 the the DT 39713 6109 50 same same JJ 39713 6109 51 world world NN 39713 6109 52 in in IN 39713 6109 53 another another DT 39713 6109 54 language language NN 39713 6109 55 ? ? . 39713 6110 1 It -PRON- PRP 39713 6110 2 seems seem VBZ 39713 6110 3 in in IN 39713 6110 4 fact fact NN 39713 6110 5 that that IN 39713 6110 6 it -PRON- PRP 39713 6110 7 would would MD 39713 6110 8 be be VB 39713 6110 9 possible possible JJ 39713 6110 10 to to TO 39713 6110 11 translate translate VB 39713 6110 12 our -PRON- PRP$ 39713 6110 13 physics physics NN 39713 6110 14 into into IN 39713 6110 15 the the DT 39713 6110 16 language language NN 39713 6110 17 of of IN 39713 6110 18 geometry geometry NN 39713 6110 19 of of IN 39713 6110 20 four four CD 39713 6110 21 dimensions dimension NNS 39713 6110 22 ; ; : 39713 6110 23 to to TO 39713 6110 24 attempt attempt VB 39713 6110 25 this this DT 39713 6110 26 translation translation NN 39713 6110 27 would would MD 39713 6110 28 be be VB 39713 6110 29 to to TO 39713 6110 30 take take VB 39713 6110 31 great great JJ 39713 6110 32 pains pain NNS 39713 6110 33 for for IN 39713 6110 34 little little JJ 39713 6110 35 profit profit NN 39713 6110 36 , , , 39713 6110 37 and and CC 39713 6110 38 I -PRON- PRP 39713 6110 39 shall shall MD 39713 6110 40 confine confine VB 39713 6110 41 myself -PRON- PRP 39713 6110 42 to to IN 39713 6110 43 citing cite VBG 39713 6110 44 the the DT 39713 6110 45 mechanics mechanic NNS 39713 6110 46 of of IN 39713 6110 47 Hertz Hertz NNP 39713 6110 48 where where WRB 39713 6110 49 we -PRON- PRP 39713 6110 50 have have VBP 39713 6110 51 something something NN 39713 6110 52 analogous analogous JJ 39713 6110 53 . . . 39713 6111 1 However however RB 39713 6111 2 , , , 39713 6111 3 it -PRON- PRP 39713 6111 4 seems seem VBZ 39713 6111 5 that that IN 39713 6111 6 the the DT 39713 6111 7 translation translation NN 39713 6111 8 would would MD 39713 6111 9 always always RB 39713 6111 10 be be VB 39713 6111 11 less less RBR 39713 6111 12 simple simple JJ 39713 6111 13 than than IN 39713 6111 14 the the DT 39713 6111 15 text text NN 39713 6111 16 , , , 39713 6111 17 and and CC 39713 6111 18 that that IN 39713 6111 19 it -PRON- PRP 39713 6111 20 would would MD 39713 6111 21 always always RB 39713 6111 22 have have VB 39713 6111 23 the the DT 39713 6111 24 air air NN 39713 6111 25 of of IN 39713 6111 26 a a DT 39713 6111 27 translation translation NN 39713 6111 28 , , , 39713 6111 29 that that IN 39713 6111 30 the the DT 39713 6111 31 language language NN 39713 6111 32 of of IN 39713 6111 33 three three CD 39713 6111 34 dimensions dimension NNS 39713 6111 35 seems seem VBZ 39713 6111 36 the the DT 39713 6111 37 better well JJR 39713 6111 38 fitted fit VBN 39713 6111 39 to to IN 39713 6111 40 the the DT 39713 6111 41 description description NN 39713 6111 42 of of IN 39713 6111 43 our -PRON- PRP$ 39713 6111 44 world world NN 39713 6111 45 , , , 39713 6111 46 although although IN 39713 6111 47 this this DT 39713 6111 48 description description NN 39713 6111 49 can can MD 39713 6111 50 be be VB 39713 6111 51 rigorously rigorously RB 39713 6111 52 made make VBN 39713 6111 53 in in IN 39713 6111 54 another another DT 39713 6111 55 idiom idiom NN 39713 6111 56 . . . 39713 6112 1 Besides besides RB 39713 6112 2 , , , 39713 6112 3 our -PRON- PRP$ 39713 6112 4 table table NN 39713 6112 5 of of IN 39713 6112 6 distribution distribution NN 39713 6112 7 was be VBD 39713 6112 8 not not RB 39713 6112 9 made make VBN 39713 6112 10 at at IN 39713 6112 11 random random JJ 39713 6112 12 . . . 39713 6113 1 There there EX 39713 6113 2 is be VBZ 39713 6113 3 connection connection NN 39713 6113 4 between between IN 39713 6113 5 the the DT 39713 6113 6 warning warning NN 39713 6113 7 _ _ NNP 39713 6113 8 A1 A1 NNP 39713 6113 9 _ _ NNP 39713 6113 10 and and CC 39713 6113 11 the the DT 39713 6113 12 parry parry NN 39713 6113 13 _ _ NNP 39713 6113 14 B1 B1 NNP 39713 6113 15 _ _ NNP 39713 6113 16 , , , 39713 6113 17 this this DT 39713 6113 18 is be VBZ 39713 6113 19 an an DT 39713 6113 20 internal internal JJ 39713 6113 21 property property NN 39713 6113 22 of of IN 39713 6113 23 our -PRON- PRP$ 39713 6113 24 intelligence intelligence NN 39713 6113 25 ; ; : 39713 6113 26 but but CC 39713 6113 27 why why WRB 39713 6113 28 this this DT 39713 6113 29 connection connection NN 39713 6113 30 ? ? . 39713 6114 1 It -PRON- PRP 39713 6114 2 is be VBZ 39713 6114 3 because because IN 39713 6114 4 the the DT 39713 6114 5 parry parry NN 39713 6114 6 _ _ NNP 39713 6114 7 B1 B1 NNP 39713 6114 8 _ _ NNP 39713 6114 9 affords afford VBZ 39713 6114 10 means mean VBZ 39713 6114 11 effectively effectively RB 39713 6114 12 to to TO 39713 6114 13 guard guard VB 39713 6114 14 against against IN 39713 6114 15 the the DT 39713 6114 16 danger danger NN 39713 6114 17 _ _ NNP 39713 6114 18 A1 A1 NNP 39713 6114 19 _ _ NNP 39713 6114 20 ; ; : 39713 6114 21 and and CC 39713 6114 22 this this DT 39713 6114 23 is be VBZ 39713 6114 24 a a DT 39713 6114 25 fact fact NN 39713 6114 26 exterior exterior JJ 39713 6114 27 to to IN 39713 6114 28 us -PRON- PRP 39713 6114 29 , , , 39713 6114 30 this this DT 39713 6114 31 is be VBZ 39713 6114 32 a a DT 39713 6114 33 property property NN 39713 6114 34 of of IN 39713 6114 35 the the DT 39713 6114 36 exterior exterior NNP 39713 6114 37 world world NN 39713 6114 38 . . . 39713 6115 1 Our -PRON- PRP$ 39713 6115 2 table table NN 39713 6115 3 of of IN 39713 6115 4 distribution distribution NN 39713 6115 5 is be VBZ 39713 6115 6 therefore therefore RB 39713 6115 7 only only RB 39713 6115 8 the the DT 39713 6115 9 translation translation NN 39713 6115 10 of of IN 39713 6115 11 an an DT 39713 6115 12 aggregate aggregate NN 39713 6115 13 of of IN 39713 6115 14 exterior exterior JJ 39713 6115 15 facts fact NNS 39713 6115 16 ; ; : 39713 6115 17 if if IN 39713 6115 18 it -PRON- PRP 39713 6115 19 has have VBZ 39713 6115 20 three three CD 39713 6115 21 dimensions dimension NNS 39713 6115 22 , , , 39713 6115 23 this this DT 39713 6115 24 is be VBZ 39713 6115 25 because because IN 39713 6115 26 it -PRON- PRP 39713 6115 27 has have VBZ 39713 6115 28 adapted adapt VBN 39713 6115 29 itself -PRON- PRP 39713 6115 30 to to IN 39713 6115 31 a a DT 39713 6115 32 world world NN 39713 6115 33 having have VBG 39713 6115 34 certain certain JJ 39713 6115 35 properties property NNS 39713 6115 36 ; ; : 39713 6115 37 and and CC 39713 6115 38 the the DT 39713 6115 39 chief chief NN 39713 6115 40 of of IN 39713 6115 41 these these DT 39713 6115 42 properties property NNS 39713 6115 43 is be VBZ 39713 6115 44 that that IN 39713 6115 45 there there EX 39713 6115 46 exist exist VBP 39713 6115 47 natural natural JJ 39713 6115 48 solids solid NNS 39713 6115 49 whose whose WP$ 39713 6115 50 displacements displacement NNS 39713 6115 51 follow follow VBP 39713 6115 52 sensibly sensibly RB 39713 6115 53 the the DT 39713 6115 54 laws law NNS 39713 6115 55 we -PRON- PRP 39713 6115 56 call call VBP 39713 6115 57 laws law NNS 39713 6115 58 of of IN 39713 6115 59 motion motion NN 39713 6115 60 of of IN 39713 6115 61 rigid rigid JJ 39713 6115 62 solids solid NNS 39713 6115 63 . . . 39713 6116 1 If if IN 39713 6116 2 therefore therefore RB 39713 6116 3 the the DT 39713 6116 4 language language NN 39713 6116 5 of of IN 39713 6116 6 three three CD 39713 6116 7 dimensions dimension NNS 39713 6116 8 is be VBZ 39713 6116 9 that that DT 39713 6116 10 which which WDT 39713 6116 11 permits permit VBZ 39713 6116 12 us -PRON- PRP 39713 6116 13 most most RBS 39713 6116 14 easily easily RB 39713 6116 15 to to TO 39713 6116 16 describe describe VB 39713 6116 17 our -PRON- PRP$ 39713 6116 18 world world NN 39713 6116 19 , , , 39713 6116 20 we -PRON- PRP 39713 6116 21 should should MD 39713 6116 22 not not RB 39713 6116 23 be be VB 39713 6116 24 astonished astonish VBN 39713 6116 25 ; ; : 39713 6116 26 this this DT 39713 6116 27 language language NN 39713 6116 28 is be VBZ 39713 6116 29 copied copy VBN 39713 6116 30 from from IN 39713 6116 31 our -PRON- PRP$ 39713 6116 32 table table NN 39713 6116 33 of of IN 39713 6116 34 distribution distribution NN 39713 6116 35 ; ; : 39713 6116 36 and and CC 39713 6116 37 it -PRON- PRP 39713 6116 38 is be VBZ 39713 6116 39 in in IN 39713 6116 40 order order NN 39713 6116 41 to to TO 39713 6116 42 be be VB 39713 6116 43 able able JJ 39713 6116 44 to to TO 39713 6116 45 live live VB 39713 6116 46 in in IN 39713 6116 47 this this DT 39713 6116 48 world world NN 39713 6116 49 that that IN 39713 6116 50 this this DT 39713 6116 51 table table NN 39713 6116 52 has have VBZ 39713 6116 53 been be VBN 39713 6116 54 established establish VBN 39713 6116 55 . . . 39713 6117 1 I -PRON- PRP 39713 6117 2 have have VBP 39713 6117 3 said say VBN 39713 6117 4 we -PRON- PRP 39713 6117 5 could could MD 39713 6117 6 conceive conceive VB 39713 6117 7 , , , 39713 6117 8 living live VBG 39713 6117 9 in in IN 39713 6117 10 our -PRON- PRP$ 39713 6117 11 world world NN 39713 6117 12 , , , 39713 6117 13 thinking think VBG 39713 6117 14 beings being NNS 39713 6117 15 whose whose WP$ 39713 6117 16 table table NN 39713 6117 17 of of IN 39713 6117 18 distribution distribution NN 39713 6117 19 would would MD 39713 6117 20 be be VB 39713 6117 21 four four CD 39713 6117 22 - - HYPH 39713 6117 23 dimensional dimensional JJ 39713 6117 24 and and CC 39713 6117 25 who who WP 39713 6117 26 consequently consequently RB 39713 6117 27 would would MD 39713 6117 28 think think VB 39713 6117 29 in in IN 39713 6117 30 hyperspace hyperspace NNP 39713 6117 31 . . . 39713 6118 1 It -PRON- PRP 39713 6118 2 is be VBZ 39713 6118 3 not not RB 39713 6118 4 certain certain JJ 39713 6118 5 however however RB 39713 6118 6 that that IN 39713 6118 7 such such JJ 39713 6118 8 beings being NNS 39713 6118 9 , , , 39713 6118 10 admitting admit VBG 39713 6118 11 they -PRON- PRP 39713 6118 12 were be VBD 39713 6118 13 born bear VBN 39713 6118 14 there there RB 39713 6118 15 , , , 39713 6118 16 could could MD 39713 6118 17 live live VB 39713 6118 18 there there RB 39713 6118 19 and and CC 39713 6118 20 defend defend VB 39713 6118 21 themselves -PRON- PRP 39713 6118 22 against against IN 39713 6118 23 the the DT 39713 6118 24 thousand thousand CD 39713 6118 25 dangers danger NNS 39713 6118 26 by by IN 39713 6118 27 which which WDT 39713 6118 28 they -PRON- PRP 39713 6118 29 would would MD 39713 6118 30 there there EX 39713 6118 31 be be VB 39713 6118 32 assailed assail VBN 39713 6118 33 . . . 39713 6119 1 VI VI NNP 39713 6119 2 A a DT 39713 6119 3 few few JJ 39713 6119 4 remarks remark NNS 39713 6119 5 to to TO 39713 6119 6 end end VB 39713 6119 7 with with IN 39713 6119 8 . . . 39713 6120 1 There there EX 39713 6120 2 is be VBZ 39713 6120 3 a a DT 39713 6120 4 striking striking JJ 39713 6120 5 contrast contrast NN 39713 6120 6 between between IN 39713 6120 7 the the DT 39713 6120 8 roughness roughness NN 39713 6120 9 of of IN 39713 6120 10 this this DT 39713 6120 11 primitive primitive JJ 39713 6120 12 geometry geometry NN 39713 6120 13 , , , 39713 6120 14 reducible reducible JJ 39713 6120 15 to to IN 39713 6120 16 what what WP 39713 6120 17 I -PRON- PRP 39713 6120 18 call call VBP 39713 6120 19 a a DT 39713 6120 20 table table NN 39713 6120 21 of of IN 39713 6120 22 distribution distribution NN 39713 6120 23 , , , 39713 6120 24 and and CC 39713 6120 25 the the DT 39713 6120 26 infinite infinite JJ 39713 6120 27 precision precision NN 39713 6120 28 of of IN 39713 6120 29 the the DT 39713 6120 30 geometers geometer NNS 39713 6120 31 ' ' POS 39713 6120 32 geometry geometry NN 39713 6120 33 . . . 39713 6121 1 And and CC 39713 6121 2 yet yet RB 39713 6121 3 this this DT 39713 6121 4 is be VBZ 39713 6121 5 born bear VBN 39713 6121 6 of of IN 39713 6121 7 that that DT 39713 6121 8 ; ; : 39713 6121 9 but but CC 39713 6121 10 not not RB 39713 6121 11 of of IN 39713 6121 12 that that DT 39713 6121 13 alone alone RB 39713 6121 14 ; ; : 39713 6121 15 it -PRON- PRP 39713 6121 16 must must MD 39713 6121 17 be be VB 39713 6121 18 made make VBN 39713 6121 19 fecund fecund RP 39713 6121 20 by by IN 39713 6121 21 the the DT 39713 6121 22 faculty faculty NN 39713 6121 23 we -PRON- PRP 39713 6121 24 have have VBP 39713 6121 25 of of IN 39713 6121 26 constructing construct VBG 39713 6121 27 mathematical mathematical JJ 39713 6121 28 concepts concept NNS 39713 6121 29 , , , 39713 6121 30 such such JJ 39713 6121 31 as as IN 39713 6121 32 that that DT 39713 6121 33 of of IN 39713 6121 34 group group NN 39713 6121 35 , , , 39713 6121 36 for for IN 39713 6121 37 instance instance NN 39713 6121 38 ; ; : 39713 6121 39 it -PRON- PRP 39713 6121 40 was be VBD 39713 6121 41 needful needful JJ 39713 6121 42 to to TO 39713 6121 43 seek seek VB 39713 6121 44 among among IN 39713 6121 45 the the DT 39713 6121 46 pure pure JJ 39713 6121 47 concepts concept NNS 39713 6121 48 that that WDT 39713 6121 49 which which WDT 39713 6121 50 best good JJS 39713 6121 51 adapts adapt VBZ 39713 6121 52 itself -PRON- PRP 39713 6121 53 to to IN 39713 6121 54 this this DT 39713 6121 55 rough rough JJ 39713 6121 56 space space NN 39713 6121 57 whose whose WP$ 39713 6121 58 genesis genesis NN 39713 6121 59 I -PRON- PRP 39713 6121 60 have have VBP 39713 6121 61 sought seek VBN 39713 6121 62 to to TO 39713 6121 63 explain explain VB 39713 6121 64 and and CC 39713 6121 65 which which WDT 39713 6121 66 is be VBZ 39713 6121 67 common common JJ 39713 6121 68 to to IN 39713 6121 69 us -PRON- PRP 39713 6121 70 and and CC 39713 6121 71 the the DT 39713 6121 72 higher high JJR 39713 6121 73 animals animal NNS 39713 6121 74 . . . 39713 6122 1 The the DT 39713 6122 2 evidence evidence NN 39713 6122 3 for for IN 39713 6122 4 certain certain JJ 39713 6122 5 geometric geometric JJ 39713 6122 6 postulates postulate NNS 39713 6122 7 , , , 39713 6122 8 we -PRON- PRP 39713 6122 9 have have VBP 39713 6122 10 said say VBD 39713 6122 11 , , , 39713 6122 12 is be VBZ 39713 6122 13 only only RB 39713 6122 14 our -PRON- PRP$ 39713 6122 15 repugnance repugnance NN 39713 6122 16 to to IN 39713 6122 17 renouncing renounce VBG 39713 6122 18 very very RB 39713 6122 19 old old JJ 39713 6122 20 habits habit NNS 39713 6122 21 . . . 39713 6123 1 But but CC 39713 6123 2 these these DT 39713 6123 3 postulates postulate NNS 39713 6123 4 are be VBP 39713 6123 5 infinitely infinitely RB 39713 6123 6 precise precise JJ 39713 6123 7 , , , 39713 6123 8 while while IN 39713 6123 9 these these DT 39713 6123 10 habits habit NNS 39713 6123 11 have have VBP 39713 6123 12 something something NN 39713 6123 13 about about IN 39713 6123 14 them -PRON- PRP 39713 6123 15 essentially essentially RB 39713 6123 16 pliant pliant JJ 39713 6123 17 . . . 39713 6124 1 When when WRB 39713 6124 2 we -PRON- PRP 39713 6124 3 wish wish VBP 39713 6124 4 to to TO 39713 6124 5 think think VB 39713 6124 6 , , , 39713 6124 7 we -PRON- PRP 39713 6124 8 need need VBP 39713 6124 9 postulates postulate NNS 39713 6124 10 infinitely infinitely RB 39713 6124 11 precise precise JJ 39713 6124 12 , , , 39713 6124 13 since since IN 39713 6124 14 this this DT 39713 6124 15 is be VBZ 39713 6124 16 the the DT 39713 6124 17 only only JJ 39713 6124 18 way way NN 39713 6124 19 to to TO 39713 6124 20 avoid avoid VB 39713 6124 21 contradiction contradiction NN 39713 6124 22 ; ; : 39713 6124 23 but but CC 39713 6124 24 among among IN 39713 6124 25 all all PDT 39713 6124 26 the the DT 39713 6124 27 possible possible JJ 39713 6124 28 systems system NNS 39713 6124 29 of of IN 39713 6124 30 postulates postulate NNS 39713 6124 31 , , , 39713 6124 32 there there EX 39713 6124 33 are be VBP 39713 6124 34 some some DT 39713 6124 35 we -PRON- PRP 39713 6124 36 dislike dislike VBP 39713 6124 37 to to TO 39713 6124 38 choose choose VB 39713 6124 39 because because IN 39713 6124 40 they -PRON- PRP 39713 6124 41 are be VBP 39713 6124 42 not not RB 39713 6124 43 sufficiently sufficiently RB 39713 6124 44 in in IN 39713 6124 45 accord accord NN 39713 6124 46 with with IN 39713 6124 47 our -PRON- PRP$ 39713 6124 48 habits habit NNS 39713 6124 49 ; ; : 39713 6124 50 however however RB 39713 6124 51 pliant pliant JJ 39713 6124 52 , , , 39713 6124 53 however however RB 39713 6124 54 elastic elastic JJ 39713 6124 55 they -PRON- PRP 39713 6124 56 may may MD 39713 6124 57 be be VB 39713 6124 58 , , , 39713 6124 59 these these DT 39713 6124 60 have have VBP 39713 6124 61 a a DT 39713 6124 62 limit limit NN 39713 6124 63 of of IN 39713 6124 64 elasticity elasticity NN 39713 6124 65 . . . 39713 6125 1 We -PRON- PRP 39713 6125 2 see see VBP 39713 6125 3 that that IN 39713 6125 4 if if IN 39713 6125 5 geometry geometry NN 39713 6125 6 is be VBZ 39713 6125 7 not not RB 39713 6125 8 an an DT 39713 6125 9 experimental experimental JJ 39713 6125 10 science science NN 39713 6125 11 , , , 39713 6125 12 it -PRON- PRP 39713 6125 13 is be VBZ 39713 6125 14 a a DT 39713 6125 15 science science NN 39713 6125 16 born bear VBN 39713 6125 17 apropos apropos NN 39713 6125 18 of of IN 39713 6125 19 experience experience NN 39713 6125 20 ; ; : 39713 6125 21 that that IN 39713 6125 22 we -PRON- PRP 39713 6125 23 have have VBP 39713 6125 24 created create VBN 39713 6125 25 the the DT 39713 6125 26 space space NN 39713 6125 27 it -PRON- PRP 39713 6125 28 studies study VBZ 39713 6125 29 , , , 39713 6125 30 but but CC 39713 6125 31 adapting adapt VBG 39713 6125 32 it -PRON- PRP 39713 6125 33 to to IN 39713 6125 34 the the DT 39713 6125 35 world world NN 39713 6125 36 wherein wherein WRB 39713 6125 37 we -PRON- PRP 39713 6125 38 live live VBP 39713 6125 39 . . . 39713 6126 1 We -PRON- PRP 39713 6126 2 have have VBP 39713 6126 3 selected select VBN 39713 6126 4 the the DT 39713 6126 5 most most RBS 39713 6126 6 convenient convenient JJ 39713 6126 7 space space NN 39713 6126 8 , , , 39713 6126 9 but but CC 39713 6126 10 experience experience NN 39713 6126 11 has have VBZ 39713 6126 12 guided guide VBN 39713 6126 13 our -PRON- PRP$ 39713 6126 14 choice choice NN 39713 6126 15 ; ; : 39713 6126 16 as as IN 39713 6126 17 this this DT 39713 6126 18 choice choice NN 39713 6126 19 has have VBZ 39713 6126 20 been be VBN 39713 6126 21 unconscious unconscious JJ 39713 6126 22 , , , 39713 6126 23 we -PRON- PRP 39713 6126 24 think think VBP 39713 6126 25 it -PRON- PRP 39713 6126 26 has have VBZ 39713 6126 27 been be VBN 39713 6126 28 imposed impose VBN 39713 6126 29 upon upon IN 39713 6126 30 us -PRON- PRP 39713 6126 31 ; ; : 39713 6126 32 some some DT 39713 6126 33 say say VBP 39713 6126 34 experience experience NN 39713 6126 35 imposes impose VBZ 39713 6126 36 it -PRON- PRP 39713 6126 37 , , , 39713 6126 38 others other NNS 39713 6126 39 that that IN 39713 6126 40 we -PRON- PRP 39713 6126 41 are be VBP 39713 6126 42 born bear VBN 39713 6126 43 with with IN 39713 6126 44 our -PRON- PRP$ 39713 6126 45 space space NN 39713 6126 46 ready ready RB 39713 6126 47 made make VBN 39713 6126 48 ; ; : 39713 6126 49 we -PRON- PRP 39713 6126 50 see see VBP 39713 6126 51 from from IN 39713 6126 52 the the DT 39713 6126 53 preceding precede VBG 39713 6126 54 considerations consideration NNS 39713 6126 55 , , , 39713 6126 56 what what WP 39713 6126 57 in in IN 39713 6126 58 these these DT 39713 6126 59 two two CD 39713 6126 60 opinions opinion NNS 39713 6126 61 is be VBZ 39713 6126 62 the the DT 39713 6126 63 part part NN 39713 6126 64 of of IN 39713 6126 65 truth truth NN 39713 6126 66 , , , 39713 6126 67 what what WP 39713 6126 68 of of IN 39713 6126 69 error error NN 39713 6126 70 . . . 39713 6127 1 In in IN 39713 6127 2 this this DT 39713 6127 3 progressive progressive JJ 39713 6127 4 education education NN 39713 6127 5 whose whose WP$ 39713 6127 6 outcome outcome NN 39713 6127 7 has have VBZ 39713 6127 8 been be VBN 39713 6127 9 the the DT 39713 6127 10 construction construction NN 39713 6127 11 of of IN 39713 6127 12 space space NN 39713 6127 13 , , , 39713 6127 14 it -PRON- PRP 39713 6127 15 is be VBZ 39713 6127 16 very very RB 39713 6127 17 difficult difficult JJ 39713 6127 18 to to TO 39713 6127 19 determine determine VB 39713 6127 20 what what WP 39713 6127 21 is be VBZ 39713 6127 22 the the DT 39713 6127 23 part part NN 39713 6127 24 of of IN 39713 6127 25 the the DT 39713 6127 26 individual individual NN 39713 6127 27 , , , 39713 6127 28 what what WP 39713 6127 29 the the DT 39713 6127 30 part part NN 39713 6127 31 of of IN 39713 6127 32 the the DT 39713 6127 33 race race NN 39713 6127 34 . . . 39713 6128 1 How how WRB 39713 6128 2 far far RB 39713 6128 3 could could MD 39713 6128 4 one one CD 39713 6128 5 of of IN 39713 6128 6 us -PRON- PRP 39713 6128 7 , , , 39713 6128 8 transported transport VBN 39713 6128 9 from from IN 39713 6128 10 birth birth NN 39713 6128 11 to to IN 39713 6128 12 an an DT 39713 6128 13 entirely entirely RB 39713 6128 14 different different JJ 39713 6128 15 world world NN 39713 6128 16 , , , 39713 6128 17 where where WRB 39713 6128 18 were be VBD 39713 6128 19 dominant dominant JJ 39713 6128 20 , , , 39713 6128 21 for for IN 39713 6128 22 instance instance NN 39713 6128 23 , , , 39713 6128 24 bodies body NNS 39713 6128 25 moving move VBG 39713 6128 26 in in IN 39713 6128 27 conformity conformity NN 39713 6128 28 to to IN 39713 6128 29 the the DT 39713 6128 30 laws law NNS 39713 6128 31 of of IN 39713 6128 32 motion motion NN 39713 6128 33 of of IN 39713 6128 34 non non JJ 39713 6128 35 - - JJ 39713 6128 36 Euclidean euclidean JJ 39713 6128 37 solids solid NNS 39713 6128 38 , , , 39713 6128 39 renounce renounce VB 39713 6128 40 the the DT 39713 6128 41 ancestral ancestral JJ 39713 6128 42 space space NN 39713 6128 43 to to TO 39713 6128 44 build build VB 39713 6128 45 a a DT 39713 6128 46 space space NN 39713 6128 47 completely completely RB 39713 6128 48 new new JJ 39713 6128 49 ? ? . 39713 6129 1 The the DT 39713 6129 2 part part NN 39713 6129 3 of of IN 39713 6129 4 the the DT 39713 6129 5 race race NN 39713 6129 6 seems seem VBZ 39713 6129 7 indeed indeed RB 39713 6129 8 preponderant preponderant JJ 39713 6129 9 ; ; : 39713 6129 10 yet yet CC 39713 6129 11 if if IN 39713 6129 12 to to IN 39713 6129 13 it -PRON- PRP 39713 6129 14 we -PRON- PRP 39713 6129 15 owe owe VBP 39713 6129 16 rough rough JJ 39713 6129 17 space space NN 39713 6129 18 , , , 39713 6129 19 the the DT 39713 6129 20 soft soft JJ 39713 6129 21 space space NN 39713 6129 22 I -PRON- PRP 39713 6129 23 have have VBP 39713 6129 24 spoken speak VBN 39713 6129 25 of of IN 39713 6129 26 , , , 39713 6129 27 the the DT 39713 6129 28 space space NN 39713 6129 29 of of IN 39713 6129 30 the the DT 39713 6129 31 higher high JJR 39713 6129 32 animals animal NNS 39713 6129 33 , , , 39713 6129 34 is be VBZ 39713 6129 35 it -PRON- PRP 39713 6129 36 not not RB 39713 6129 37 to to IN 39713 6129 38 the the DT 39713 6129 39 unconscious unconscious JJ 39713 6129 40 experience experience NN 39713 6129 41 of of IN 39713 6129 42 the the DT 39713 6129 43 individual individual NN 39713 6129 44 we -PRON- PRP 39713 6129 45 owe owe VBP 39713 6129 46 the the DT 39713 6129 47 infinitely infinitely RB 39713 6129 48 precise precise JJ 39713 6129 49 space space NN 39713 6129 50 of of IN 39713 6129 51 the the DT 39713 6129 52 geometer geometer NN 39713 6129 53 ? ? . 39713 6130 1 This this DT 39713 6130 2 is be VBZ 39713 6130 3 a a DT 39713 6130 4 question question NN 39713 6130 5 not not RB 39713 6130 6 easy easy JJ 39713 6130 7 to to TO 39713 6130 8 solve solve VB 39713 6130 9 . . . 39713 6131 1 Yet yet CC 39713 6131 2 we -PRON- PRP 39713 6131 3 cite cite VBP 39713 6131 4 a a DT 39713 6131 5 fact fact NN 39713 6131 6 showing show VBG 39713 6131 7 that that IN 39713 6131 8 the the DT 39713 6131 9 space space NN 39713 6131 10 our -PRON- PRP$ 39713 6131 11 ancestors ancestor NNS 39713 6131 12 have have VBP 39713 6131 13 bequeathed bequeath VBN 39713 6131 14 us -PRON- PRP 39713 6131 15 still still RB 39713 6131 16 retains retain VBZ 39713 6131 17 a a DT 39713 6131 18 certain certain JJ 39713 6131 19 plasticity plasticity NN 39713 6131 20 . . . 39713 6132 1 Some some DT 39713 6132 2 hunters hunter NNS 39713 6132 3 learn learn VBP 39713 6132 4 to to TO 39713 6132 5 shoot shoot VB 39713 6132 6 fish fish NN 39713 6132 7 under under IN 39713 6132 8 water water NN 39713 6132 9 , , , 39713 6132 10 though though IN 39713 6132 11 the the DT 39713 6132 12 image image NN 39713 6132 13 of of IN 39713 6132 14 these these DT 39713 6132 15 fish fish NN 39713 6132 16 be be VB 39713 6132 17 turned turn VBN 39713 6132 18 up up RP 39713 6132 19 by by IN 39713 6132 20 refraction refraction NN 39713 6132 21 . . . 39713 6133 1 Besides besides IN 39713 6133 2 they -PRON- PRP 39713 6133 3 do do VBP 39713 6133 4 it -PRON- PRP 39713 6133 5 instinctively instinctively RB 39713 6133 6 : : : 39713 6133 7 they -PRON- PRP 39713 6133 8 therefore therefore RB 39713 6133 9 have have VBP 39713 6133 10 learned learn VBN 39713 6133 11 to to TO 39713 6133 12 modify modify VB 39713 6133 13 their -PRON- PRP$ 39713 6133 14 old old JJ 39713 6133 15 instinct instinct NN 39713 6133 16 of of IN 39713 6133 17 direction direction NN 39713 6133 18 ; ; , 39713 6133 19 or or CC 39713 6133 20 , , , 39713 6133 21 if if IN 39713 6133 22 you -PRON- PRP 39713 6133 23 choose choose VBP 39713 6133 24 , , , 39713 6133 25 to to TO 39713 6133 26 substitute substitute VB 39713 6133 27 for for IN 39713 6133 28 the the DT 39713 6133 29 association association NN 39713 6133 30 _ _ NNP 39713 6133 31 A1 A1 NNP 39713 6133 32 _ _ NNP 39713 6133 33 , , , 39713 6133 34 _ _ NNP 39713 6133 35 B1 B1 NNP 39713 6133 36 _ _ NNP 39713 6133 37 , , , 39713 6133 38 another another DT 39713 6133 39 association association NN 39713 6133 40 _ _ NNP 39713 6133 41 A1 A1 NNP 39713 6133 42 _ _ NNP 39713 6133 43 , , , 39713 6133 44 _ _ NNP 39713 6133 45 B2 B2 NNP 39713 6133 46 _ _ NNP 39713 6133 47 , , , 39713 6133 48 because because IN 39713 6133 49 experience experience NN 39713 6133 50 showed show VBD 39713 6133 51 them -PRON- PRP 39713 6133 52 the the DT 39713 6133 53 first first JJ 39713 6133 54 would would MD 39713 6133 55 not not RB 39713 6133 56 work work VB 39713 6133 57 . . . 39713 6134 1 CHAPTER CHAPTER NNP 39713 6134 2 II II NNP 39713 6134 3 MATHEMATICAL mathematical NN 39713 6134 4 DEFINITIONS definition NNS 39713 6134 5 AND and CC 39713 6134 6 TEACHING teaching NN 39713 6134 7 1 1 CD 39713 6134 8 . . . 39713 6135 1 I -PRON- PRP 39713 6135 2 should should MD 39713 6135 3 speak speak VB 39713 6135 4 here here RB 39713 6135 5 of of IN 39713 6135 6 general general JJ 39713 6135 7 definitions definition NNS 39713 6135 8 in in IN 39713 6135 9 mathematics mathematic NNS 39713 6135 10 ; ; : 39713 6135 11 at at IN 39713 6135 12 least least JJS 39713 6135 13 that that DT 39713 6135 14 is be VBZ 39713 6135 15 the the DT 39713 6135 16 title title NN 39713 6135 17 , , , 39713 6135 18 but but CC 39713 6135 19 it -PRON- PRP 39713 6135 20 will will MD 39713 6135 21 be be VB 39713 6135 22 impossible impossible JJ 39713 6135 23 to to TO 39713 6135 24 confine confine VB 39713 6135 25 myself -PRON- PRP 39713 6135 26 to to IN 39713 6135 27 the the DT 39713 6135 28 subject subject NN 39713 6135 29 as as RB 39713 6135 30 strictly strictly RB 39713 6135 31 as as IN 39713 6135 32 the the DT 39713 6135 33 rule rule NN 39713 6135 34 of of IN 39713 6135 35 unity unity NN 39713 6135 36 of of IN 39713 6135 37 action action NN 39713 6135 38 would would MD 39713 6135 39 require require VB 39713 6135 40 ; ; : 39713 6135 41 I -PRON- PRP 39713 6135 42 shall shall MD 39713 6135 43 not not RB 39713 6135 44 be be VB 39713 6135 45 able able JJ 39713 6135 46 to to TO 39713 6135 47 treat treat VB 39713 6135 48 it -PRON- PRP 39713 6135 49 without without IN 39713 6135 50 touching touch VBG 39713 6135 51 upon upon IN 39713 6135 52 a a DT 39713 6135 53 few few JJ 39713 6135 54 other other JJ 39713 6135 55 related related JJ 39713 6135 56 questions question NNS 39713 6135 57 , , , 39713 6135 58 and and CC 39713 6135 59 if if IN 39713 6135 60 thus thus RB 39713 6135 61 I -PRON- PRP 39713 6135 62 am be VBP 39713 6135 63 forced force VBN 39713 6135 64 from from IN 39713 6135 65 time time NN 39713 6135 66 to to IN 39713 6135 67 time time NN 39713 6135 68 to to TO 39713 6135 69 walk walk VB 39713 6135 70 on on IN 39713 6135 71 the the DT 39713 6135 72 bordering border VBG 39713 6135 73 flower flower NN 39713 6135 74 - - : 39713 6135 75 beds bed NNS 39713 6135 76 on on IN 39713 6135 77 the the DT 39713 6135 78 right right NN 39713 6135 79 or or CC 39713 6135 80 left leave VBD 39713 6135 81 , , , 39713 6135 82 I -PRON- PRP 39713 6135 83 pray pray VBP 39713 6135 84 you -PRON- PRP 39713 6135 85 bear bear VBP 39713 6135 86 with with IN 39713 6135 87 me -PRON- PRP 39713 6135 88 . . . 39713 6136 1 What what WP 39713 6136 2 is be VBZ 39713 6136 3 a a DT 39713 6136 4 good good JJ 39713 6136 5 definition definition NN 39713 6136 6 ? ? . 39713 6137 1 For for IN 39713 6137 2 the the DT 39713 6137 3 philosopher philosopher NN 39713 6137 4 or or CC 39713 6137 5 the the DT 39713 6137 6 scientist scientist NN 39713 6137 7 it -PRON- PRP 39713 6137 8 is be VBZ 39713 6137 9 a a DT 39713 6137 10 definition definition NN 39713 6137 11 which which WDT 39713 6137 12 applies apply VBZ 39713 6137 13 to to IN 39713 6137 14 all all PDT 39713 6137 15 the the DT 39713 6137 16 objects object NNS 39713 6137 17 defined define VBN 39713 6137 18 , , , 39713 6137 19 and and CC 39713 6137 20 only only RB 39713 6137 21 those those DT 39713 6137 22 ; ; : 39713 6137 23 it -PRON- PRP 39713 6137 24 is be VBZ 39713 6137 25 the the DT 39713 6137 26 one one NN 39713 6137 27 satisfying satisfy VBG 39713 6137 28 the the DT 39713 6137 29 rules rule NNS 39713 6137 30 of of IN 39713 6137 31 logic logic NN 39713 6137 32 . . . 39713 6138 1 But but CC 39713 6138 2 in in IN 39713 6138 3 teaching teach VBG 39713 6138 4 it -PRON- PRP 39713 6138 5 is be VBZ 39713 6138 6 not not RB 39713 6138 7 that that DT 39713 6138 8 ; ; : 39713 6138 9 a a DT 39713 6138 10 good good JJ 39713 6138 11 definition definition NN 39713 6138 12 is be VBZ 39713 6138 13 one one CD 39713 6138 14 understood understand VBN 39713 6138 15 by by IN 39713 6138 16 the the DT 39713 6138 17 scholars scholar NNS 39713 6138 18 . . . 39713 6139 1 How how WRB 39713 6139 2 does do VBZ 39713 6139 3 it -PRON- PRP 39713 6139 4 happen happen VB 39713 6139 5 that that IN 39713 6139 6 so so RB 39713 6139 7 many many JJ 39713 6139 8 refuse refuse VBP 39713 6139 9 to to TO 39713 6139 10 understand understand VB 39713 6139 11 mathematics mathematic NNS 39713 6139 12 ? ? . 39713 6140 1 Is be VBZ 39713 6140 2 that that DT 39713 6140 3 not not RB 39713 6140 4 something something NN 39713 6140 5 of of IN 39713 6140 6 a a DT 39713 6140 7 paradox paradox NN 39713 6140 8 ? ? . 39713 6141 1 Lo Lo NNP 39713 6141 2 and and CC 39713 6141 3 behold behold NN 39713 6141 4 ! ! . 39713 6142 1 a a DT 39713 6142 2 science science NN 39713 6142 3 appealing appeal VBG 39713 6142 4 only only RB 39713 6142 5 to to IN 39713 6142 6 the the DT 39713 6142 7 fundamental fundamental JJ 39713 6142 8 principles principle NNS 39713 6142 9 of of IN 39713 6142 10 logic logic NN 39713 6142 11 , , , 39713 6142 12 to to IN 39713 6142 13 the the DT 39713 6142 14 principle principle NN 39713 6142 15 of of IN 39713 6142 16 contradiction contradiction NN 39713 6142 17 , , , 39713 6142 18 for for IN 39713 6142 19 instance instance NN 39713 6142 20 , , , 39713 6142 21 to to IN 39713 6142 22 that that DT 39713 6142 23 which which WDT 39713 6142 24 is be VBZ 39713 6142 25 the the DT 39713 6142 26 skeleton skeleton NN 39713 6142 27 , , , 39713 6142 28 so so RB 39713 6142 29 to to TO 39713 6142 30 speak speak VB 39713 6142 31 , , , 39713 6142 32 of of IN 39713 6142 33 our -PRON- PRP$ 39713 6142 34 intelligence intelligence NN 39713 6142 35 , , , 39713 6142 36 to to IN 39713 6142 37 that that DT 39713 6142 38 of of IN 39713 6142 39 which which WDT 39713 6142 40 we -PRON- PRP 39713 6142 41 can can MD 39713 6142 42 not not RB 39713 6142 43 divest divest VB 39713 6142 44 ourselves -PRON- PRP 39713 6142 45 without without IN 39713 6142 46 ceasing cease VBG 39713 6142 47 to to TO 39713 6142 48 think think VB 39713 6142 49 , , , 39713 6142 50 and and CC 39713 6142 51 there there EX 39713 6142 52 are be VBP 39713 6142 53 people people NNS 39713 6142 54 who who WP 39713 6142 55 find find VBP 39713 6142 56 it -PRON- PRP 39713 6142 57 obscure obscure JJ 39713 6142 58 ! ! . 39713 6143 1 and and CC 39713 6143 2 they -PRON- PRP 39713 6143 3 are be VBP 39713 6143 4 even even RB 39713 6143 5 in in IN 39713 6143 6 the the DT 39713 6143 7 majority majority NN 39713 6143 8 ! ! . 39713 6144 1 That that IN 39713 6144 2 they -PRON- PRP 39713 6144 3 are be VBP 39713 6144 4 incapable incapable JJ 39713 6144 5 of of IN 39713 6144 6 inventing invent VBG 39713 6144 7 may may MD 39713 6144 8 pass pass VB 39713 6144 9 , , , 39713 6144 10 but but CC 39713 6144 11 that that IN 39713 6144 12 they -PRON- PRP 39713 6144 13 do do VBP 39713 6144 14 not not RB 39713 6144 15 understand understand VB 39713 6144 16 the the DT 39713 6144 17 demonstrations demonstration NNS 39713 6144 18 shown show VBN 39713 6144 19 them -PRON- PRP 39713 6144 20 , , , 39713 6144 21 that that IN 39713 6144 22 they -PRON- PRP 39713 6144 23 remain remain VBP 39713 6144 24 blind blind JJ 39713 6144 25 when when WRB 39713 6144 26 we -PRON- PRP 39713 6144 27 show show VBP 39713 6144 28 them -PRON- PRP 39713 6144 29 a a DT 39713 6144 30 light light NN 39713 6144 31 which which WDT 39713 6144 32 seems seem VBZ 39713 6144 33 to to IN 39713 6144 34 us -PRON- PRP 39713 6144 35 flashing flash VBG 39713 6144 36 pure pure JJ 39713 6144 37 flame flame NN 39713 6144 38 , , , 39713 6144 39 this this DT 39713 6144 40 it -PRON- PRP 39713 6144 41 is be VBZ 39713 6144 42 which which WDT 39713 6144 43 is be VBZ 39713 6144 44 altogether altogether RB 39713 6144 45 prodigious prodigious JJ 39713 6144 46 . . . 39713 6145 1 And and CC 39713 6145 2 yet yet RB 39713 6145 3 there there EX 39713 6145 4 is be VBZ 39713 6145 5 no no DT 39713 6145 6 need need NN 39713 6145 7 of of IN 39713 6145 8 a a DT 39713 6145 9 wide wide JJ 39713 6145 10 experience experience NN 39713 6145 11 with with IN 39713 6145 12 examinations examination NNS 39713 6145 13 to to TO 39713 6145 14 know know VB 39713 6145 15 that that IN 39713 6145 16 these these DT 39713 6145 17 blind blind JJ 39713 6145 18 men man NNS 39713 6145 19 are be VBP 39713 6145 20 in in IN 39713 6145 21 no no DT 39713 6145 22 wise wise JJ 39713 6145 23 exceptional exceptional JJ 39713 6145 24 beings being NNS 39713 6145 25 . . . 39713 6146 1 This this DT 39713 6146 2 is be VBZ 39713 6146 3 a a DT 39713 6146 4 problem problem NN 39713 6146 5 not not RB 39713 6146 6 easy easy JJ 39713 6146 7 to to TO 39713 6146 8 solve solve VB 39713 6146 9 , , , 39713 6146 10 but but CC 39713 6146 11 which which WDT 39713 6146 12 should should MD 39713 6146 13 engage engage VB 39713 6146 14 the the DT 39713 6146 15 attention attention NN 39713 6146 16 of of IN 39713 6146 17 all all PDT 39713 6146 18 those those DT 39713 6146 19 wishing wish VBG 39713 6146 20 to to TO 39713 6146 21 devote devote VB 39713 6146 22 themselves -PRON- PRP 39713 6146 23 to to IN 39713 6146 24 teaching teaching NN 39713 6146 25 . . . 39713 6147 1 What what WP 39713 6147 2 is be VBZ 39713 6147 3 it -PRON- PRP 39713 6147 4 , , , 39713 6147 5 to to TO 39713 6147 6 understand understand VB 39713 6147 7 ? ? . 39713 6148 1 Has have VBZ 39713 6148 2 this this DT 39713 6148 3 word word NN 39713 6148 4 the the DT 39713 6148 5 same same JJ 39713 6148 6 meaning meaning NN 39713 6148 7 for for IN 39713 6148 8 all all PDT 39713 6148 9 the the DT 39713 6148 10 world world NN 39713 6148 11 ? ? . 39713 6149 1 To to TO 39713 6149 2 understand understand VB 39713 6149 3 the the DT 39713 6149 4 demonstration demonstration NN 39713 6149 5 of of IN 39713 6149 6 a a DT 39713 6149 7 theorem theorem NN 39713 6149 8 , , , 39713 6149 9 is be VBZ 39713 6149 10 that that DT 39713 6149 11 to to TO 39713 6149 12 examine examine VB 39713 6149 13 successively successively RB 39713 6149 14 each each DT 39713 6149 15 of of IN 39713 6149 16 the the DT 39713 6149 17 syllogisms syllogism NNS 39713 6149 18 composing compose VBG 39713 6149 19 it -PRON- PRP 39713 6149 20 and and CC 39713 6149 21 to to TO 39713 6149 22 ascertain ascertain VB 39713 6149 23 its -PRON- PRP$ 39713 6149 24 correctness correctness NN 39713 6149 25 , , , 39713 6149 26 its -PRON- PRP$ 39713 6149 27 conformity conformity NN 39713 6149 28 to to IN 39713 6149 29 the the DT 39713 6149 30 rules rule NNS 39713 6149 31 of of IN 39713 6149 32 the the DT 39713 6149 33 game game NN 39713 6149 34 ? ? . 39713 6150 1 Likewise likewise RB 39713 6150 2 , , , 39713 6150 3 to to TO 39713 6150 4 understand understand VB 39713 6150 5 a a DT 39713 6150 6 definition definition NN 39713 6150 7 , , , 39713 6150 8 is be VBZ 39713 6150 9 this this DT 39713 6150 10 merely merely RB 39713 6150 11 to to TO 39713 6150 12 recognize recognize VB 39713 6150 13 that that IN 39713 6150 14 one one NN 39713 6150 15 already already RB 39713 6150 16 knows know VBZ 39713 6150 17 the the DT 39713 6150 18 meaning meaning NN 39713 6150 19 of of IN 39713 6150 20 all all PDT 39713 6150 21 the the DT 39713 6150 22 terms term NNS 39713 6150 23 employed employ VBN 39713 6150 24 and and CC 39713 6150 25 to to TO 39713 6150 26 ascertain ascertain VB 39713 6150 27 that that IN 39713 6150 28 it -PRON- PRP 39713 6150 29 implies imply VBZ 39713 6150 30 no no DT 39713 6150 31 contradiction contradiction NN 39713 6150 32 ? ? . 39713 6151 1 For for IN 39713 6151 2 some some DT 39713 6151 3 , , , 39713 6151 4 yes yes UH 39713 6151 5 ; ; : 39713 6151 6 when when WRB 39713 6151 7 they -PRON- PRP 39713 6151 8 have have VBP 39713 6151 9 done do VBN 39713 6151 10 this this DT 39713 6151 11 , , , 39713 6151 12 they -PRON- PRP 39713 6151 13 will will MD 39713 6151 14 say say VB 39713 6151 15 : : : 39713 6151 16 I -PRON- PRP 39713 6151 17 understand understand VBP 39713 6151 18 . . . 39713 6152 1 For for IN 39713 6152 2 the the DT 39713 6152 3 majority majority NN 39713 6152 4 , , , 39713 6152 5 no no UH 39713 6152 6 . . . 39713 6153 1 Almost almost RB 39713 6153 2 all all DT 39713 6153 3 are be VBP 39713 6153 4 much much RB 39713 6153 5 more more RBR 39713 6153 6 exacting exacting JJ 39713 6153 7 ; ; : 39713 6153 8 they -PRON- PRP 39713 6153 9 wish wish VBP 39713 6153 10 to to TO 39713 6153 11 know know VB 39713 6153 12 not not RB 39713 6153 13 merely merely RB 39713 6153 14 whether whether IN 39713 6153 15 all all PDT 39713 6153 16 the the DT 39713 6153 17 syllogisms syllogism NNS 39713 6153 18 of of IN 39713 6153 19 a a DT 39713 6153 20 demonstration demonstration NN 39713 6153 21 are be VBP 39713 6153 22 correct correct JJ 39713 6153 23 , , , 39713 6153 24 but but CC 39713 6153 25 why why WRB 39713 6153 26 they -PRON- PRP 39713 6153 27 link link VBP 39713 6153 28 together together RB 39713 6153 29 in in IN 39713 6153 30 this this DT 39713 6153 31 order order NN 39713 6153 32 rather rather RB 39713 6153 33 than than IN 39713 6153 34 another another DT 39713 6153 35 . . . 39713 6154 1 In in IN 39713 6154 2 so so RB 39713 6154 3 far far RB 39713 6154 4 as as IN 39713 6154 5 to to IN 39713 6154 6 them -PRON- PRP 39713 6154 7 they -PRON- PRP 39713 6154 8 seem seem VBP 39713 6154 9 engendered engender VBN 39713 6154 10 by by IN 39713 6154 11 caprice caprice NN 39713 6154 12 and and CC 39713 6154 13 not not RB 39713 6154 14 by by IN 39713 6154 15 an an DT 39713 6154 16 intelligence intelligence NN 39713 6154 17 always always RB 39713 6154 18 conscious conscious JJ 39713 6154 19 of of IN 39713 6154 20 the the DT 39713 6154 21 end end NN 39713 6154 22 to to TO 39713 6154 23 be be VB 39713 6154 24 attained attain VBN 39713 6154 25 , , , 39713 6154 26 they -PRON- PRP 39713 6154 27 do do VBP 39713 6154 28 not not RB 39713 6154 29 believe believe VB 39713 6154 30 they -PRON- PRP 39713 6154 31 understand understand VBP 39713 6154 32 . . . 39713 6155 1 Doubtless doubtless RB 39713 6155 2 they -PRON- PRP 39713 6155 3 are be VBP 39713 6155 4 not not RB 39713 6155 5 themselves -PRON- PRP 39713 6155 6 just just RB 39713 6155 7 conscious conscious JJ 39713 6155 8 of of IN 39713 6155 9 what what WP 39713 6155 10 they -PRON- PRP 39713 6155 11 crave crave VBP 39713 6155 12 and and CC 39713 6155 13 they -PRON- PRP 39713 6155 14 could could MD 39713 6155 15 not not RB 39713 6155 16 formulate formulate VB 39713 6155 17 their -PRON- PRP$ 39713 6155 18 desire desire NN 39713 6155 19 , , , 39713 6155 20 but but CC 39713 6155 21 if if IN 39713 6155 22 they -PRON- PRP 39713 6155 23 do do VBP 39713 6155 24 not not RB 39713 6155 25 get get VB 39713 6155 26 satisfaction satisfaction NN 39713 6155 27 , , , 39713 6155 28 they -PRON- PRP 39713 6155 29 vaguely vaguely RB 39713 6155 30 feel feel VBP 39713 6155 31 that that IN 39713 6155 32 something something NN 39713 6155 33 is be VBZ 39713 6155 34 lacking lack VBG 39713 6155 35 . . . 39713 6156 1 Then then RB 39713 6156 2 what what WP 39713 6156 3 happens happen VBZ 39713 6156 4 ? ? . 39713 6157 1 In in IN 39713 6157 2 the the DT 39713 6157 3 beginning beginning NN 39713 6157 4 they -PRON- PRP 39713 6157 5 still still RB 39713 6157 6 perceive perceive VBP 39713 6157 7 the the DT 39713 6157 8 proofs proof NNS 39713 6157 9 one one CD 39713 6157 10 puts put VBZ 39713 6157 11 under under IN 39713 6157 12 their -PRON- PRP$ 39713 6157 13 eyes eye NNS 39713 6157 14 ; ; : 39713 6157 15 but but CC 39713 6157 16 as as IN 39713 6157 17 these these DT 39713 6157 18 are be VBP 39713 6157 19 connected connect VBN 39713 6157 20 only only RB 39713 6157 21 by by IN 39713 6157 22 too too RB 39713 6157 23 slender slend JJR 39713 6157 24 a a DT 39713 6157 25 thread thread NN 39713 6157 26 to to IN 39713 6157 27 those those DT 39713 6157 28 which which WDT 39713 6157 29 precede precede VBP 39713 6157 30 and and CC 39713 6157 31 those those DT 39713 6157 32 which which WDT 39713 6157 33 follow follow VBP 39713 6157 34 , , , 39713 6157 35 they -PRON- PRP 39713 6157 36 pass pass VBP 39713 6157 37 without without IN 39713 6157 38 leaving leave VBG 39713 6157 39 any any DT 39713 6157 40 trace trace NN 39713 6157 41 in in IN 39713 6157 42 their -PRON- PRP$ 39713 6157 43 head head NN 39713 6157 44 ; ; : 39713 6157 45 they -PRON- PRP 39713 6157 46 are be VBP 39713 6157 47 soon soon RB 39713 6157 48 forgotten forget VBN 39713 6157 49 ; ; : 39713 6157 50 a a DT 39713 6157 51 moment moment NN 39713 6157 52 bright bright JJ 39713 6157 53 , , , 39713 6157 54 they -PRON- PRP 39713 6157 55 quickly quickly RB 39713 6157 56 vanish vanish VBP 39713 6157 57 in in IN 39713 6157 58 night night NN 39713 6157 59 eternal eternal JJ 39713 6157 60 . . . 39713 6158 1 When when WRB 39713 6158 2 they -PRON- PRP 39713 6158 3 are be VBP 39713 6158 4 farther farther RB 39713 6158 5 on on RB 39713 6158 6 , , , 39713 6158 7 they -PRON- PRP 39713 6158 8 will will MD 39713 6158 9 no no RB 39713 6158 10 longer longer RB 39713 6158 11 see see VB 39713 6158 12 even even RB 39713 6158 13 this this DT 39713 6158 14 ephemeral ephemeral JJ 39713 6158 15 light light NN 39713 6158 16 , , , 39713 6158 17 since since IN 39713 6158 18 the the DT 39713 6158 19 theorems theorem NNS 39713 6158 20 lean lean VBP 39713 6158 21 one one CD 39713 6158 22 upon upon IN 39713 6158 23 another another DT 39713 6158 24 and and CC 39713 6158 25 those those DT 39713 6158 26 they -PRON- PRP 39713 6158 27 would would MD 39713 6158 28 need need VB 39713 6158 29 are be VBP 39713 6158 30 forgotten forget VBN 39713 6158 31 ; ; : 39713 6158 32 thus thus RB 39713 6158 33 it -PRON- PRP 39713 6158 34 is be VBZ 39713 6158 35 they -PRON- PRP 39713 6158 36 become become VBP 39713 6158 37 incapable incapable JJ 39713 6158 38 of of IN 39713 6158 39 understanding understand VBG 39713 6158 40 mathematics mathematic NNS 39713 6158 41 . . . 39713 6159 1 This this DT 39713 6159 2 is be VBZ 39713 6159 3 not not RB 39713 6159 4 always always RB 39713 6159 5 the the DT 39713 6159 6 fault fault NN 39713 6159 7 of of IN 39713 6159 8 their -PRON- PRP$ 39713 6159 9 teacher teacher NN 39713 6159 10 ; ; : 39713 6159 11 often often RB 39713 6159 12 their -PRON- PRP$ 39713 6159 13 mind mind NN 39713 6159 14 , , , 39713 6159 15 which which WDT 39713 6159 16 needs need VBZ 39713 6159 17 to to TO 39713 6159 18 perceive perceive VB 39713 6159 19 the the DT 39713 6159 20 guiding guiding NN 39713 6159 21 thread thread NN 39713 6159 22 , , , 39713 6159 23 is be VBZ 39713 6159 24 too too RB 39713 6159 25 lazy lazy JJ 39713 6159 26 to to TO 39713 6159 27 seek seek VB 39713 6159 28 and and CC 39713 6159 29 find find VB 39713 6159 30 it -PRON- PRP 39713 6159 31 . . . 39713 6160 1 But but CC 39713 6160 2 to to TO 39713 6160 3 come come VB 39713 6160 4 to to IN 39713 6160 5 their -PRON- PRP$ 39713 6160 6 aid aid NN 39713 6160 7 , , , 39713 6160 8 we -PRON- PRP 39713 6160 9 first first RB 39713 6160 10 must must MD 39713 6160 11 know know VB 39713 6160 12 just just RB 39713 6160 13 what what WP 39713 6160 14 hinders hinder VBZ 39713 6160 15 them -PRON- PRP 39713 6160 16 . . . 39713 6161 1 Others other NNS 39713 6161 2 will will MD 39713 6161 3 always always RB 39713 6161 4 ask ask VB 39713 6161 5 of of IN 39713 6161 6 what what WP 39713 6161 7 use use NN 39713 6161 8 is be VBZ 39713 6161 9 it -PRON- PRP 39713 6161 10 ; ; : 39713 6161 11 they -PRON- PRP 39713 6161 12 will will MD 39713 6161 13 not not RB 39713 6161 14 have have VB 39713 6161 15 understood understand VBN 39713 6161 16 if if IN 39713 6161 17 they -PRON- PRP 39713 6161 18 do do VBP 39713 6161 19 not not RB 39713 6161 20 find find VB 39713 6161 21 about about IN 39713 6161 22 them -PRON- PRP 39713 6161 23 , , , 39713 6161 24 in in IN 39713 6161 25 practise practise NN 39713 6161 26 or or CC 39713 6161 27 in in IN 39713 6161 28 nature nature NN 39713 6161 29 , , , 39713 6161 30 the the DT 39713 6161 31 justification justification NN 39713 6161 32 of of IN 39713 6161 33 such such JJ 39713 6161 34 and and CC 39713 6161 35 such such JJ 39713 6161 36 a a DT 39713 6161 37 mathematical mathematical JJ 39713 6161 38 concept concept NN 39713 6161 39 . . . 39713 6162 1 Under under IN 39713 6162 2 each each DT 39713 6162 3 word word NN 39713 6162 4 they -PRON- PRP 39713 6162 5 wish wish VBP 39713 6162 6 to to TO 39713 6162 7 put put VB 39713 6162 8 a a DT 39713 6162 9 sensible sensible JJ 39713 6162 10 image image NN 39713 6162 11 ; ; : 39713 6162 12 the the DT 39713 6162 13 definition definition NN 39713 6162 14 must must MD 39713 6162 15 evoke evoke VB 39713 6162 16 this this DT 39713 6162 17 image image NN 39713 6162 18 , , , 39713 6162 19 so so IN 39713 6162 20 that that IN 39713 6162 21 at at IN 39713 6162 22 each each DT 39713 6162 23 stage stage NN 39713 6162 24 of of IN 39713 6162 25 the the DT 39713 6162 26 demonstration demonstration NN 39713 6162 27 they -PRON- PRP 39713 6162 28 may may MD 39713 6162 29 see see VB 39713 6162 30 it -PRON- PRP 39713 6162 31 transform transform VB 39713 6162 32 and and CC 39713 6162 33 evolve evolve VB 39713 6162 34 . . . 39713 6163 1 Only only RB 39713 6163 2 upon upon IN 39713 6163 3 this this DT 39713 6163 4 condition condition NN 39713 6163 5 do do VBP 39713 6163 6 they -PRON- PRP 39713 6163 7 comprehend comprehend VB 39713 6163 8 and and CC 39713 6163 9 retain retain VBP 39713 6163 10 . . . 39713 6164 1 Often often RB 39713 6164 2 these these DT 39713 6164 3 deceive deceive VBP 39713 6164 4 themselves -PRON- PRP 39713 6164 5 ; ; : 39713 6164 6 they -PRON- PRP 39713 6164 7 do do VBP 39713 6164 8 not not RB 39713 6164 9 listen listen VB 39713 6164 10 to to IN 39713 6164 11 the the DT 39713 6164 12 reasoning reasoning NN 39713 6164 13 , , , 39713 6164 14 they -PRON- PRP 39713 6164 15 look look VBP 39713 6164 16 at at IN 39713 6164 17 the the DT 39713 6164 18 figures figure NNS 39713 6164 19 ; ; : 39713 6164 20 they -PRON- PRP 39713 6164 21 think think VBP 39713 6164 22 they -PRON- PRP 39713 6164 23 have have VBP 39713 6164 24 understood understand VBN 39713 6164 25 and and CC 39713 6164 26 they -PRON- PRP 39713 6164 27 have have VBP 39713 6164 28 only only RB 39713 6164 29 seen see VBN 39713 6164 30 . . . 39713 6165 1 2 2 LS 39713 6165 2 . . . 39713 6166 1 How how WRB 39713 6166 2 many many JJ 39713 6166 3 different different JJ 39713 6166 4 tendencies tendency NNS 39713 6166 5 ! ! . 39713 6167 1 Must Must MD 39713 6167 2 we -PRON- PRP 39713 6167 3 combat combat VB 39713 6167 4 them -PRON- PRP 39713 6167 5 ? ? . 39713 6168 1 Must Must MD 39713 6168 2 we -PRON- PRP 39713 6168 3 use use VB 39713 6168 4 them -PRON- PRP 39713 6168 5 ? ? . 39713 6169 1 And and CC 39713 6169 2 if if IN 39713 6169 3 we -PRON- PRP 39713 6169 4 wish wish VBP 39713 6169 5 to to TO 39713 6169 6 combat combat VB 39713 6169 7 them -PRON- PRP 39713 6169 8 , , , 39713 6169 9 which which WDT 39713 6169 10 should should MD 39713 6169 11 be be VB 39713 6169 12 favored favor VBN 39713 6169 13 ? ? . 39713 6170 1 Must Must MD 39713 6170 2 we -PRON- PRP 39713 6170 3 show show VB 39713 6170 4 those those DT 39713 6170 5 content content NN 39713 6170 6 with with IN 39713 6170 7 the the DT 39713 6170 8 pure pure JJ 39713 6170 9 logic logic NN 39713 6170 10 that that WDT 39713 6170 11 they -PRON- PRP 39713 6170 12 have have VBP 39713 6170 13 seen see VBN 39713 6170 14 only only RB 39713 6170 15 one one CD 39713 6170 16 side side NN 39713 6170 17 of of IN 39713 6170 18 the the DT 39713 6170 19 matter matter NN 39713 6170 20 ? ? . 39713 6171 1 Or or CC 39713 6171 2 need need VB 39713 6171 3 we -PRON- PRP 39713 6171 4 say say VB 39713 6171 5 to to IN 39713 6171 6 those those DT 39713 6171 7 not not RB 39713 6171 8 so so RB 39713 6171 9 cheaply cheaply RB 39713 6171 10 satisfied satisfied JJ 39713 6171 11 that that IN 39713 6171 12 what what WP 39713 6171 13 they -PRON- PRP 39713 6171 14 demand demand VBP 39713 6171 15 is be VBZ 39713 6171 16 not not RB 39713 6171 17 necessary necessary JJ 39713 6171 18 ? ? . 39713 6172 1 In in IN 39713 6172 2 other other JJ 39713 6172 3 words word NNS 39713 6172 4 , , , 39713 6172 5 should should MD 39713 6172 6 we -PRON- PRP 39713 6172 7 constrain constrain VB 39713 6172 8 the the DT 39713 6172 9 young young JJ 39713 6172 10 people people NNS 39713 6172 11 to to TO 39713 6172 12 change change VB 39713 6172 13 the the DT 39713 6172 14 nature nature NN 39713 6172 15 of of IN 39713 6172 16 their -PRON- PRP$ 39713 6172 17 minds mind NNS 39713 6172 18 ? ? . 39713 6173 1 Such such PDT 39713 6173 2 an an DT 39713 6173 3 attempt attempt NN 39713 6173 4 would would MD 39713 6173 5 be be VB 39713 6173 6 vain vain JJ 39713 6173 7 ; ; : 39713 6173 8 we -PRON- PRP 39713 6173 9 do do VBP 39713 6173 10 not not RB 39713 6173 11 possess possess VB 39713 6173 12 the the DT 39713 6173 13 philosopher philosopher NN 39713 6173 14 's 's POS 39713 6173 15 stone stone NN 39713 6173 16 which which WDT 39713 6173 17 would would MD 39713 6173 18 enable enable VB 39713 6173 19 us -PRON- PRP 39713 6173 20 to to TO 39713 6173 21 transmute transmute VB 39713 6173 22 one one CD 39713 6173 23 into into IN 39713 6173 24 another another DT 39713 6173 25 the the DT 39713 6173 26 metals metal NNS 39713 6173 27 confided confide VBD 39713 6173 28 to to IN 39713 6173 29 us -PRON- PRP 39713 6173 30 ; ; : 39713 6173 31 all all DT 39713 6173 32 we -PRON- PRP 39713 6173 33 can can MD 39713 6173 34 do do VB 39713 6173 35 is be VBZ 39713 6173 36 to to TO 39713 6173 37 work work VB 39713 6173 38 with with IN 39713 6173 39 them -PRON- PRP 39713 6173 40 , , , 39713 6173 41 adapting adapt VBG 39713 6173 42 ourselves -PRON- PRP 39713 6173 43 to to IN 39713 6173 44 their -PRON- PRP$ 39713 6173 45 properties property NNS 39713 6173 46 . . . 39713 6174 1 Many many JJ 39713 6174 2 children child NNS 39713 6174 3 are be VBP 39713 6174 4 incapable incapable JJ 39713 6174 5 of of IN 39713 6174 6 becoming become VBG 39713 6174 7 mathematicians mathematician NNS 39713 6174 8 , , , 39713 6174 9 to to TO 39713 6174 10 whom whom WP 39713 6174 11 however however RB 39713 6174 12 it -PRON- PRP 39713 6174 13 is be VBZ 39713 6174 14 necessary necessary JJ 39713 6174 15 to to TO 39713 6174 16 teach teach VB 39713 6174 17 mathematics mathematic NNS 39713 6174 18 ; ; : 39713 6174 19 and and CC 39713 6174 20 the the DT 39713 6174 21 mathematicians mathematician NNS 39713 6174 22 themselves -PRON- PRP 39713 6174 23 are be VBP 39713 6174 24 not not RB 39713 6174 25 all all DT 39713 6174 26 cast cast VBN 39713 6174 27 in in IN 39713 6174 28 the the DT 39713 6174 29 same same JJ 39713 6174 30 mold mold NN 39713 6174 31 . . . 39713 6175 1 To to TO 39713 6175 2 read read VB 39713 6175 3 their -PRON- PRP$ 39713 6175 4 works work NNS 39713 6175 5 suffices suffice NNS 39713 6175 6 to to TO 39713 6175 7 distinguish distinguish VB 39713 6175 8 among among IN 39713 6175 9 them -PRON- PRP 39713 6175 10 two two CD 39713 6175 11 sorts sort NNS 39713 6175 12 of of IN 39713 6175 13 minds mind NNS 39713 6175 14 , , , 39713 6175 15 the the DT 39713 6175 16 logicians logicians NNPS 39713 6175 17 like like IN 39713 6175 18 Weierstrass Weierstrass NNP 39713 6175 19 for for IN 39713 6175 20 example example NN 39713 6175 21 , , , 39713 6175 22 the the DT 39713 6175 23 intuitives intuitive NNS 39713 6175 24 like like IN 39713 6175 25 Riemann Riemann NNP 39713 6175 26 . . . 39713 6176 1 There there EX 39713 6176 2 is be VBZ 39713 6176 3 the the DT 39713 6176 4 same same JJ 39713 6176 5 difference difference NN 39713 6176 6 among among IN 39713 6176 7 our -PRON- PRP$ 39713 6176 8 students student NNS 39713 6176 9 . . . 39713 6177 1 The the DT 39713 6177 2 one one CD 39713 6177 3 sort sort NN 39713 6177 4 prefer prefer VBP 39713 6177 5 to to TO 39713 6177 6 treat treat VB 39713 6177 7 their -PRON- PRP$ 39713 6177 8 problems problem NNS 39713 6177 9 ' ' '' 39713 6177 10 by by IN 39713 6177 11 analysis analysis NN 39713 6177 12 ' ' '' 39713 6177 13 as as IN 39713 6177 14 they -PRON- PRP 39713 6177 15 say say VBP 39713 6177 16 , , , 39713 6177 17 the the DT 39713 6177 18 others other NNS 39713 6177 19 ' ' POS 39713 6177 20 by by IN 39713 6177 21 geometry geometry NN 39713 6177 22 . . . 39713 6177 23 ' ' '' 39713 6178 1 It -PRON- PRP 39713 6178 2 is be VBZ 39713 6178 3 useless useless JJ 39713 6178 4 to to TO 39713 6178 5 seek seek VB 39713 6178 6 to to TO 39713 6178 7 change change VB 39713 6178 8 anything anything NN 39713 6178 9 of of IN 39713 6178 10 that that DT 39713 6178 11 , , , 39713 6178 12 and and CC 39713 6178 13 besides besides IN 39713 6178 14 would would MD 39713 6178 15 it -PRON- PRP 39713 6178 16 be be VB 39713 6178 17 desirable desirable JJ 39713 6178 18 ? ? . 39713 6179 1 It -PRON- PRP 39713 6179 2 is be VBZ 39713 6179 3 well well RB 39713 6179 4 that that IN 39713 6179 5 there there EX 39713 6179 6 are be VBP 39713 6179 7 logicians logicians NNPS 39713 6179 8 and and CC 39713 6179 9 that that IN 39713 6179 10 there there EX 39713 6179 11 are be VBP 39713 6179 12 intuitives intuitive NNS 39713 6179 13 ; ; : 39713 6179 14 who who WP 39713 6179 15 would would MD 39713 6179 16 dare dare VB 39713 6179 17 say say VB 39713 6179 18 whether whether IN 39713 6179 19 he -PRON- PRP 39713 6179 20 preferred prefer VBD 39713 6179 21 that that IN 39713 6179 22 Weierstrass Weierstrass NNP 39713 6179 23 had have VBD 39713 6179 24 never never RB 39713 6179 25 written write VBN 39713 6179 26 or or CC 39713 6179 27 that that IN 39713 6179 28 there there EX 39713 6179 29 never never RB 39713 6179 30 had have VBD 39713 6179 31 been be VBN 39713 6179 32 a a DT 39713 6179 33 Riemann Riemann NNP 39713 6179 34 ? ? . 39713 6180 1 We -PRON- PRP 39713 6180 2 must must MD 39713 6180 3 therefore therefore RB 39713 6180 4 resign resign VB 39713 6180 5 ourselves -PRON- PRP 39713 6180 6 to to IN 39713 6180 7 the the DT 39713 6180 8 diversity diversity NN 39713 6180 9 of of IN 39713 6180 10 minds mind NNS 39713 6180 11 , , , 39713 6180 12 or or CC 39713 6180 13 better well RBR 39713 6180 14 we -PRON- PRP 39713 6180 15 must must MD 39713 6180 16 rejoice rejoice VB 39713 6180 17 in in IN 39713 6180 18 it -PRON- PRP 39713 6180 19 . . . 39713 6181 1 3 3 LS 39713 6181 2 . . . 39713 6182 1 Since since IN 39713 6182 2 the the DT 39713 6182 3 word word NN 39713 6182 4 understand understand VBP 39713 6182 5 has have VBZ 39713 6182 6 many many JJ 39713 6182 7 meanings meaning NNS 39713 6182 8 , , , 39713 6182 9 the the DT 39713 6182 10 definitions definition NNS 39713 6182 11 which which WDT 39713 6182 12 will will MD 39713 6182 13 be be VB 39713 6182 14 best best RB 39713 6182 15 understood understand VBN 39713 6182 16 by by IN 39713 6182 17 some some DT 39713 6182 18 will will MD 39713 6182 19 not not RB 39713 6182 20 be be VB 39713 6182 21 best best RB 39713 6182 22 suited suited JJ 39713 6182 23 to to IN 39713 6182 24 others other NNS 39713 6182 25 . . . 39713 6183 1 We -PRON- PRP 39713 6183 2 have have VBP 39713 6183 3 those those DT 39713 6183 4 which which WDT 39713 6183 5 seek seek VBP 39713 6183 6 to to TO 39713 6183 7 produce produce VB 39713 6183 8 an an DT 39713 6183 9 image image NN 39713 6183 10 , , , 39713 6183 11 and and CC 39713 6183 12 those those DT 39713 6183 13 where where WRB 39713 6183 14 we -PRON- PRP 39713 6183 15 confine confine VBP 39713 6183 16 ourselves -PRON- PRP 39713 6183 17 to to IN 39713 6183 18 combining combine VBG 39713 6183 19 empty empty JJ 39713 6183 20 forms form NNS 39713 6183 21 , , , 39713 6183 22 perfectly perfectly RB 39713 6183 23 intelligible intelligible JJ 39713 6183 24 , , , 39713 6183 25 but but CC 39713 6183 26 purely purely RB 39713 6183 27 intelligible intelligible JJ 39713 6183 28 , , , 39713 6183 29 which which WDT 39713 6183 30 abstraction abstraction NN 39713 6183 31 has have VBZ 39713 6183 32 deprived deprive VBN 39713 6183 33 of of IN 39713 6183 34 all all DT 39713 6183 35 matter matter NN 39713 6183 36 . . . 39713 6184 1 I -PRON- PRP 39713 6184 2 know know VBP 39713 6184 3 not not RB 39713 6184 4 whether whether IN 39713 6184 5 it -PRON- PRP 39713 6184 6 be be VB 39713 6184 7 necessary necessary JJ 39713 6184 8 to to TO 39713 6184 9 cite cite VB 39713 6184 10 examples example NNS 39713 6184 11 . . . 39713 6185 1 Let let VB 39713 6185 2 us -PRON- PRP 39713 6185 3 cite cite VB 39713 6185 4 them -PRON- PRP 39713 6185 5 , , , 39713 6185 6 anyhow anyhow RB 39713 6185 7 , , , 39713 6185 8 and and CC 39713 6185 9 first first RB 39713 6185 10 the the DT 39713 6185 11 definition definition NN 39713 6185 12 of of IN 39713 6185 13 fractions fraction NNS 39713 6185 14 will will MD 39713 6185 15 furnish furnish VB 39713 6185 16 us -PRON- PRP 39713 6185 17 an an DT 39713 6185 18 extreme extreme JJ 39713 6185 19 case case NN 39713 6185 20 . . . 39713 6186 1 In in IN 39713 6186 2 the the DT 39713 6186 3 primary primary JJ 39713 6186 4 schools school NNS 39713 6186 5 , , , 39713 6186 6 to to TO 39713 6186 7 define define VB 39713 6186 8 a a DT 39713 6186 9 fraction fraction NN 39713 6186 10 , , , 39713 6186 11 one one NN 39713 6186 12 cuts cut VBZ 39713 6186 13 up up RP 39713 6186 14 an an DT 39713 6186 15 apple apple NN 39713 6186 16 or or CC 39713 6186 17 a a DT 39713 6186 18 pie pie NN 39713 6186 19 ; ; : 39713 6186 20 it -PRON- PRP 39713 6186 21 is be VBZ 39713 6186 22 cut cut VBN 39713 6186 23 up up RP 39713 6186 24 mentally mentally RB 39713 6186 25 of of RB 39713 6186 26 course course NN 39713 6186 27 and and CC 39713 6186 28 not not RB 39713 6186 29 in in IN 39713 6186 30 reality reality NN 39713 6186 31 , , , 39713 6186 32 because because IN 39713 6186 33 I -PRON- PRP 39713 6186 34 do do VBP 39713 6186 35 not not RB 39713 6186 36 suppose suppose VB 39713 6186 37 the the DT 39713 6186 38 budget budget NN 39713 6186 39 of of IN 39713 6186 40 the the DT 39713 6186 41 primary primary JJ 39713 6186 42 instruction instruction NN 39713 6186 43 allows allow VBZ 39713 6186 44 of of IN 39713 6186 45 such such JJ 39713 6186 46 prodigality prodigality NN 39713 6186 47 . . . 39713 6187 1 At at IN 39713 6187 2 the the DT 39713 6187 3 Normal Normal NNP 39713 6187 4 School School NNP 39713 6187 5 , , , 39713 6187 6 on on IN 39713 6187 7 the the DT 39713 6187 8 other other JJ 39713 6187 9 hand hand NN 39713 6187 10 , , , 39713 6187 11 or or CC 39713 6187 12 at at IN 39713 6187 13 the the DT 39713 6187 14 college college NN 39713 6187 15 , , , 39713 6187 16 it -PRON- PRP 39713 6187 17 is be VBZ 39713 6187 18 said say VBN 39713 6187 19 : : : 39713 6187 20 a a DT 39713 6187 21 fraction fraction NN 39713 6187 22 is be VBZ 39713 6187 23 the the DT 39713 6187 24 combination combination NN 39713 6187 25 of of IN 39713 6187 26 two two CD 39713 6187 27 whole whole JJ 39713 6187 28 numbers number NNS 39713 6187 29 separated separate VBN 39713 6187 30 by by IN 39713 6187 31 a a DT 39713 6187 32 horizontal horizontal JJ 39713 6187 33 bar bar NN 39713 6187 34 ; ; : 39713 6187 35 we -PRON- PRP 39713 6187 36 define define VBP 39713 6187 37 by by IN 39713 6187 38 conventions convention NNS 39713 6187 39 the the DT 39713 6187 40 operations operation NNS 39713 6187 41 to to TO 39713 6187 42 which which WDT 39713 6187 43 these these DT 39713 6187 44 symbols symbol NNS 39713 6187 45 may may MD 39713 6187 46 be be VB 39713 6187 47 submitted submit VBN 39713 6187 48 ; ; : 39713 6187 49 it -PRON- PRP 39713 6187 50 is be VBZ 39713 6187 51 proved prove VBN 39713 6187 52 that that IN 39713 6187 53 the the DT 39713 6187 54 rules rule NNS 39713 6187 55 of of IN 39713 6187 56 these these DT 39713 6187 57 operations operation NNS 39713 6187 58 are be VBP 39713 6187 59 the the DT 39713 6187 60 same same JJ 39713 6187 61 as as IN 39713 6187 62 in in IN 39713 6187 63 calculating calculate VBG 39713 6187 64 with with IN 39713 6187 65 whole whole JJ 39713 6187 66 numbers number NNS 39713 6187 67 , , , 39713 6187 68 and and CC 39713 6187 69 we -PRON- PRP 39713 6187 70 ascertain ascertain VBP 39713 6187 71 finally finally RB 39713 6187 72 that that IN 39713 6187 73 multiplying multiply VBG 39713 6187 74 the the DT 39713 6187 75 fraction fraction NN 39713 6187 76 , , , 39713 6187 77 according accord VBG 39713 6187 78 to to IN 39713 6187 79 these these DT 39713 6187 80 rules rule NNS 39713 6187 81 , , , 39713 6187 82 by by IN 39713 6187 83 the the DT 39713 6187 84 denominator denominator NN 39713 6187 85 gives give VBZ 39713 6187 86 the the DT 39713 6187 87 numerator numerator NN 39713 6187 88 . . . 39713 6188 1 This this DT 39713 6188 2 is be VBZ 39713 6188 3 all all DT 39713 6188 4 very very RB 39713 6188 5 well well RB 39713 6188 6 because because IN 39713 6188 7 we -PRON- PRP 39713 6188 8 are be VBP 39713 6188 9 addressing address VBG 39713 6188 10 young young JJ 39713 6188 11 people people NNS 39713 6188 12 long long RB 39713 6188 13 familiarized familiarize VBD 39713 6188 14 with with IN 39713 6188 15 the the DT 39713 6188 16 notion notion NN 39713 6188 17 of of IN 39713 6188 18 fractions fraction NNS 39713 6188 19 through through IN 39713 6188 20 having have VBG 39713 6188 21 cut cut VBN 39713 6188 22 up up RP 39713 6188 23 apples apple NNS 39713 6188 24 or or CC 39713 6188 25 other other JJ 39713 6188 26 objects object NNS 39713 6188 27 , , , 39713 6188 28 and and CC 39713 6188 29 whose whose WP$ 39713 6188 30 mind mind NN 39713 6188 31 , , , 39713 6188 32 matured mature VBN 39713 6188 33 by by IN 39713 6188 34 a a DT 39713 6188 35 hard hard JJ 39713 6188 36 mathematical mathematical JJ 39713 6188 37 education education NN 39713 6188 38 , , , 39713 6188 39 has have VBZ 39713 6188 40 come come VBN 39713 6188 41 little little JJ 39713 6188 42 by by IN 39713 6188 43 little little JJ 39713 6188 44 to to TO 39713 6188 45 desire desire VB 39713 6188 46 a a DT 39713 6188 47 purely purely RB 39713 6188 48 logical logical JJ 39713 6188 49 definition definition NN 39713 6188 50 . . . 39713 6189 1 But but CC 39713 6189 2 the the DT 39713 6189 3 débutant débutant NN 39713 6189 4 to to TO 39713 6189 5 whom whom WP 39713 6189 6 one one PRP 39713 6189 7 should should MD 39713 6189 8 try try VB 39713 6189 9 to to TO 39713 6189 10 give give VB 39713 6189 11 it -PRON- PRP 39713 6189 12 , , , 39713 6189 13 how how WRB 39713 6189 14 dumfounded dumfounde VBN 39713 6189 15 ! ! . 39713 6190 1 Such such JJ 39713 6190 2 also also RB 39713 6190 3 are be VBP 39713 6190 4 the the DT 39713 6190 5 definitions definition NNS 39713 6190 6 found find VBN 39713 6190 7 in in IN 39713 6190 8 a a DT 39713 6190 9 book book NN 39713 6190 10 justly justly RB 39713 6190 11 admired admire VBN 39713 6190 12 and and CC 39713 6190 13 greatly greatly RB 39713 6190 14 honored honor VBN 39713 6190 15 , , , 39713 6190 16 the the DT 39713 6190 17 _ _ NNP 39713 6190 18 Foundations Foundations NNPS 39713 6190 19 of of IN 39713 6190 20 Geometry Geometry NNP 39713 6190 21 _ _ NNP 39713 6190 22 by by IN 39713 6190 23 Hilbert Hilbert NNP 39713 6190 24 . . . 39713 6191 1 See see VB 39713 6191 2 in in IN 39713 6191 3 fact fact NN 39713 6191 4 how how WRB 39713 6191 5 he -PRON- PRP 39713 6191 6 begins begin VBZ 39713 6191 7 : : : 39713 6191 8 _ _ NNP 39713 6191 9 We -PRON- PRP 39713 6191 10 think think VBP 39713 6191 11 three three CD 39713 6191 12 systems system NNS 39713 6191 13 of of IN 39713 6191 14 _ _ NNP 39713 6191 15 THINGS THINGS NNP 39713 6191 16 _ _ NNP 39713 6191 17 which which WDT 39713 6191 18 we -PRON- PRP 39713 6191 19 shall shall MD 39713 6191 20 call call VB 39713 6191 21 points point NNS 39713 6191 22 , , , 39713 6191 23 straights straight NNS 39713 6191 24 and and CC 39713 6191 25 planes plane NNS 39713 6191 26 _ _ NNP 39713 6191 27 . . . 39713 6192 1 What what WP 39713 6192 2 are be VBP 39713 6192 3 these these DT 39713 6192 4 ' ' `` 39713 6192 5 things thing NNS 39713 6192 6 ' ' '' 39713 6192 7 ? ? . 39713 6193 1 We -PRON- PRP 39713 6193 2 know know VBP 39713 6193 3 not not RB 39713 6193 4 , , , 39713 6193 5 nor nor CC 39713 6193 6 need need VBP 39713 6193 7 we -PRON- PRP 39713 6193 8 know know VBP 39713 6193 9 ; ; : 39713 6193 10 it -PRON- PRP 39713 6193 11 would would MD 39713 6193 12 even even RB 39713 6193 13 be be VB 39713 6193 14 a a DT 39713 6193 15 pity pity NN 39713 6193 16 to to TO 39713 6193 17 seek seek VB 39713 6193 18 to to TO 39713 6193 19 know know VB 39713 6193 20 ; ; : 39713 6193 21 all all DT 39713 6193 22 we -PRON- PRP 39713 6193 23 have have VBP 39713 6193 24 the the DT 39713 6193 25 right right NN 39713 6193 26 to to TO 39713 6193 27 know know VB 39713 6193 28 of of IN 39713 6193 29 them -PRON- PRP 39713 6193 30 is be VBZ 39713 6193 31 what what WP 39713 6193 32 the the DT 39713 6193 33 assumptions assumption NNS 39713 6193 34 tell tell VBP 39713 6193 35 us -PRON- PRP 39713 6193 36 ; ; : 39713 6193 37 this this DT 39713 6193 38 for for IN 39713 6193 39 example example NN 39713 6193 40 : : : 39713 6193 41 _ _ NNP 39713 6193 42 Two two CD 39713 6193 43 distinct distinct JJ 39713 6193 44 points point NNS 39713 6193 45 always always RB 39713 6193 46 determine determine VBP 39713 6193 47 a a DT 39713 6193 48 straight straight JJ 39713 6193 49 _ _ NNP 39713 6193 50 , , , 39713 6193 51 which which WDT 39713 6193 52 is be VBZ 39713 6193 53 followed follow VBN 39713 6193 54 by by IN 39713 6193 55 this this DT 39713 6193 56 remark remark NN 39713 6193 57 : : : 39713 6193 58 _ _ XX 39713 6193 59 in in IN 39713 6193 60 place place NN 39713 6193 61 of of IN 39713 6193 62 determine determine NN 39713 6193 63 , , , 39713 6193 64 we -PRON- PRP 39713 6193 65 may may MD 39713 6193 66 say say VB 39713 6193 67 the the DT 39713 6193 68 two two CD 39713 6193 69 points point NNS 39713 6193 70 are be VBP 39713 6193 71 on on IN 39713 6193 72 the the DT 39713 6193 73 straight straight JJ 39713 6193 74 , , , 39713 6193 75 or or CC 39713 6193 76 the the DT 39713 6193 77 straight straight NN 39713 6193 78 goes go VBZ 39713 6193 79 through through IN 39713 6193 80 these these DT 39713 6193 81 two two CD 39713 6193 82 points point NNS 39713 6193 83 or or CC 39713 6193 84 joins join VBZ 39713 6193 85 the the DT 39713 6193 86 two two CD 39713 6193 87 points point NNS 39713 6193 88 _ _ NNP 39713 6193 89 . . . 39713 6194 1 Thus thus RB 39713 6194 2 ' ' '' 39713 6194 3 to to TO 39713 6194 4 be be VB 39713 6194 5 on on IN 39713 6194 6 a a DT 39713 6194 7 straight straight NN 39713 6194 8 ' ' '' 39713 6194 9 is be VBZ 39713 6194 10 simply simply RB 39713 6194 11 defined define VBN 39713 6194 12 as as IN 39713 6194 13 synonymous synonymous JJ 39713 6194 14 with with IN 39713 6194 15 ' ' `` 39713 6194 16 determine determine VB 39713 6194 17 a a DT 39713 6194 18 straight straight NN 39713 6194 19 . . . 39713 6194 20 ' ' '' 39713 6195 1 Behold behold VB 39713 6195 2 a a DT 39713 6195 3 book book NN 39713 6195 4 of of IN 39713 6195 5 which which WDT 39713 6195 6 I -PRON- PRP 39713 6195 7 think think VBP 39713 6195 8 much much RB 39713 6195 9 good good JJ 39713 6195 10 , , , 39713 6195 11 but but CC 39713 6195 12 which which WDT 39713 6195 13 I -PRON- PRP 39713 6195 14 should should MD 39713 6195 15 not not RB 39713 6195 16 recommend recommend VB 39713 6195 17 to to IN 39713 6195 18 a a DT 39713 6195 19 school school NN 39713 6195 20 boy boy NN 39713 6195 21 . . . 39713 6196 1 Yet yet CC 39713 6196 2 I -PRON- PRP 39713 6196 3 could could MD 39713 6196 4 do do VB 39713 6196 5 so so RB 39713 6196 6 without without IN 39713 6196 7 fear fear NN 39713 6196 8 , , , 39713 6196 9 he -PRON- PRP 39713 6196 10 would would MD 39713 6196 11 not not RB 39713 6196 12 read read VB 39713 6196 13 much much JJ 39713 6196 14 of of IN 39713 6196 15 it -PRON- PRP 39713 6196 16 . . . 39713 6197 1 I -PRON- PRP 39713 6197 2 have have VBP 39713 6197 3 taken take VBN 39713 6197 4 extreme extreme JJ 39713 6197 5 examples example NNS 39713 6197 6 and and CC 39713 6197 7 no no DT 39713 6197 8 teacher teacher NN 39713 6197 9 would would MD 39713 6197 10 dream dream VB 39713 6197 11 of of IN 39713 6197 12 going go VBG 39713 6197 13 that that RB 39713 6197 14 far far RB 39713 6197 15 . . . 39713 6198 1 But but CC 39713 6198 2 even even RB 39713 6198 3 stopping stop VBG 39713 6198 4 short short RB 39713 6198 5 of of IN 39713 6198 6 such such JJ 39713 6198 7 models model NNS 39713 6198 8 , , , 39713 6198 9 does do VBZ 39713 6198 10 he -PRON- PRP 39713 6198 11 not not RB 39713 6198 12 already already RB 39713 6198 13 expose expose VB 39713 6198 14 himself -PRON- PRP 39713 6198 15 to to IN 39713 6198 16 the the DT 39713 6198 17 same same JJ 39713 6198 18 danger danger NN 39713 6198 19 ? ? . 39713 6199 1 Suppose suppose VB 39713 6199 2 we -PRON- PRP 39713 6199 3 are be VBP 39713 6199 4 in in IN 39713 6199 5 a a DT 39713 6199 6 class class NN 39713 6199 7 ; ; : 39713 6199 8 the the DT 39713 6199 9 professor professor NN 39713 6199 10 dictates dictate VBZ 39713 6199 11 : : : 39713 6199 12 the the DT 39713 6199 13 circle circle NN 39713 6199 14 is be VBZ 39713 6199 15 the the DT 39713 6199 16 locus locus NN 39713 6199 17 of of IN 39713 6199 18 points point NNS 39713 6199 19 of of IN 39713 6199 20 the the DT 39713 6199 21 plane plane NN 39713 6199 22 equidistant equidistant NN 39713 6199 23 from from IN 39713 6199 24 an an DT 39713 6199 25 interior interior JJ 39713 6199 26 point point NN 39713 6199 27 called call VBN 39713 6199 28 the the DT 39713 6199 29 center center NN 39713 6199 30 . . . 39713 6200 1 The the DT 39713 6200 2 good good JJ 39713 6200 3 scholar scholar NN 39713 6200 4 writes write VBZ 39713 6200 5 this this DT 39713 6200 6 phrase phrase NN 39713 6200 7 in in IN 39713 6200 8 his -PRON- PRP$ 39713 6200 9 note note NN 39713 6200 10 - - HYPH 39713 6200 11 book book NN 39713 6200 12 ; ; : 39713 6200 13 the the DT 39713 6200 14 bad bad JJ 39713 6200 15 scholar scholar NN 39713 6200 16 draws draw VBZ 39713 6200 17 faces face NNS 39713 6200 18 ; ; : 39713 6200 19 but but CC 39713 6200 20 neither neither DT 39713 6200 21 understands understand NNS 39713 6200 22 ; ; : 39713 6200 23 then then RB 39713 6200 24 the the DT 39713 6200 25 professor professor NN 39713 6200 26 takes take VBZ 39713 6200 27 the the DT 39713 6200 28 chalk chalk NN 39713 6200 29 and and CC 39713 6200 30 draws draw VBZ 39713 6200 31 a a DT 39713 6200 32 circle circle NN 39713 6200 33 on on IN 39713 6200 34 the the DT 39713 6200 35 board board NN 39713 6200 36 . . . 39713 6201 1 " " `` 39713 6201 2 Ah ah UH 39713 6201 3 ! ! . 39713 6201 4 " " '' 39713 6202 1 think think VB 39713 6202 2 the the DT 39713 6202 3 scholars scholar NNS 39713 6202 4 , , , 39713 6202 5 " " `` 39713 6202 6 why why WRB 39713 6202 7 did do VBD 39713 6202 8 he -PRON- PRP 39713 6202 9 not not RB 39713 6202 10 say say VB 39713 6202 11 at at IN 39713 6202 12 once once RB 39713 6202 13 : : : 39713 6202 14 a a DT 39713 6202 15 circle circle NN 39713 6202 16 is be VBZ 39713 6202 17 a a DT 39713 6202 18 ring ring NN 39713 6202 19 , , , 39713 6202 20 we -PRON- PRP 39713 6202 21 should should MD 39713 6202 22 have have VB 39713 6202 23 understood understand VBN 39713 6202 24 . . . 39713 6202 25 " " '' 39713 6203 1 Doubtless doubtless RB 39713 6203 2 the the DT 39713 6203 3 professor professor NN 39713 6203 4 is be VBZ 39713 6203 5 right right JJ 39713 6203 6 . . . 39713 6204 1 The the DT 39713 6204 2 scholars scholar NNS 39713 6204 3 ' ' POS 39713 6204 4 definition definition NN 39713 6204 5 would would MD 39713 6204 6 have have VB 39713 6204 7 been be VBN 39713 6204 8 of of IN 39713 6204 9 no no DT 39713 6204 10 avail avail NN 39713 6204 11 , , , 39713 6204 12 since since IN 39713 6204 13 it -PRON- PRP 39713 6204 14 could could MD 39713 6204 15 serve serve VB 39713 6204 16 for for IN 39713 6204 17 no no DT 39713 6204 18 demonstration demonstration NN 39713 6204 19 , , , 39713 6204 20 since since IN 39713 6204 21 besides besides IN 39713 6204 22 it -PRON- PRP 39713 6204 23 would would MD 39713 6204 24 not not RB 39713 6204 25 give give VB 39713 6204 26 them -PRON- PRP 39713 6204 27 the the DT 39713 6204 28 salutary salutary JJ 39713 6204 29 habit habit NN 39713 6204 30 of of IN 39713 6204 31 analyzing analyze VBG 39713 6204 32 their -PRON- PRP$ 39713 6204 33 conceptions conception NNS 39713 6204 34 . . . 39713 6205 1 But but CC 39713 6205 2 one one PRP 39713 6205 3 should should MD 39713 6205 4 show show VB 39713 6205 5 them -PRON- PRP 39713 6205 6 that that IN 39713 6205 7 they -PRON- PRP 39713 6205 8 do do VBP 39713 6205 9 not not RB 39713 6205 10 comprehend comprehend VB 39713 6205 11 what what WP 39713 6205 12 they -PRON- PRP 39713 6205 13 think think VBP 39713 6205 14 they -PRON- PRP 39713 6205 15 know know VBP 39713 6205 16 , , , 39713 6205 17 lead lead VBP 39713 6205 18 them -PRON- PRP 39713 6205 19 to to TO 39713 6205 20 be be VB 39713 6205 21 conscious conscious JJ 39713 6205 22 of of IN 39713 6205 23 the the DT 39713 6205 24 roughness roughness NN 39713 6205 25 of of IN 39713 6205 26 their -PRON- PRP$ 39713 6205 27 primitive primitive JJ 39713 6205 28 conception conception NN 39713 6205 29 , , , 39713 6205 30 and and CC 39713 6205 31 of of IN 39713 6205 32 themselves -PRON- PRP 39713 6205 33 to to TO 39713 6205 34 wish wish VB 39713 6205 35 it -PRON- PRP 39713 6205 36 purified purify VBN 39713 6205 37 and and CC 39713 6205 38 made make VBD 39713 6205 39 precise precise JJ 39713 6205 40 . . . 39713 6206 1 4 4 LS 39713 6206 2 . . . 39713 6207 1 I -PRON- PRP 39713 6207 2 shall shall MD 39713 6207 3 return return VB 39713 6207 4 to to IN 39713 6207 5 these these DT 39713 6207 6 examples example NNS 39713 6207 7 ; ; : 39713 6207 8 I -PRON- PRP 39713 6207 9 only only RB 39713 6207 10 wished wish VBD 39713 6207 11 to to TO 39713 6207 12 show show VB 39713 6207 13 you -PRON- PRP 39713 6207 14 the the DT 39713 6207 15 two two CD 39713 6207 16 opposed opposed JJ 39713 6207 17 conceptions conception NNS 39713 6207 18 ; ; : 39713 6207 19 they -PRON- PRP 39713 6207 20 are be VBP 39713 6207 21 in in IN 39713 6207 22 violent violent JJ 39713 6207 23 contrast contrast NN 39713 6207 24 . . . 39713 6208 1 This this DT 39713 6208 2 contrast contrast NN 39713 6208 3 the the DT 39713 6208 4 history history NN 39713 6208 5 of of IN 39713 6208 6 science science NN 39713 6208 7 explains explain VBZ 39713 6208 8 . . . 39713 6209 1 If if IN 39713 6209 2 we -PRON- PRP 39713 6209 3 read read VBP 39713 6209 4 a a DT 39713 6209 5 book book NN 39713 6209 6 written write VBN 39713 6209 7 fifty fifty CD 39713 6209 8 years year NNS 39713 6209 9 ago ago RB 39713 6209 10 , , , 39713 6209 11 most most JJS 39713 6209 12 of of IN 39713 6209 13 the the DT 39713 6209 14 reasoning reasoning NN 39713 6209 15 we -PRON- PRP 39713 6209 16 find find VBP 39713 6209 17 there there EX 39713 6209 18 seems seem VBZ 39713 6209 19 lacking lack VBG 39713 6209 20 in in IN 39713 6209 21 rigor rigor NNP 39713 6209 22 . . . 39713 6210 1 Then then RB 39713 6210 2 it -PRON- PRP 39713 6210 3 was be VBD 39713 6210 4 assumed assume VBN 39713 6210 5 a a DT 39713 6210 6 continuous continuous JJ 39713 6210 7 function function NN 39713 6210 8 can can MD 39713 6210 9 change change VB 39713 6210 10 sign sign NN 39713 6210 11 only only RB 39713 6210 12 by by IN 39713 6210 13 vanishing vanish VBG 39713 6210 14 ; ; : 39713 6210 15 to to IN 39713 6210 16 - - HYPH 39713 6210 17 day day NN 39713 6210 18 we -PRON- PRP 39713 6210 19 prove prove VBP 39713 6210 20 it -PRON- PRP 39713 6210 21 . . . 39713 6211 1 It -PRON- PRP 39713 6211 2 was be VBD 39713 6211 3 assumed assume VBN 39713 6211 4 the the DT 39713 6211 5 ordinary ordinary JJ 39713 6211 6 rules rule NNS 39713 6211 7 of of IN 39713 6211 8 calculation calculation NN 39713 6211 9 are be VBP 39713 6211 10 applicable applicable JJ 39713 6211 11 to to TO 39713 6211 12 incommensurable incommensurable JJ 39713 6211 13 numbers number NNS 39713 6211 14 ; ; : 39713 6211 15 to to IN 39713 6211 16 - - HYPH 39713 6211 17 day day NN 39713 6211 18 we -PRON- PRP 39713 6211 19 prove prove VBP 39713 6211 20 it -PRON- PRP 39713 6211 21 . . . 39713 6212 1 Many many JJ 39713 6212 2 other other JJ 39713 6212 3 things thing NNS 39713 6212 4 were be VBD 39713 6212 5 assumed assume VBN 39713 6212 6 which which WDT 39713 6212 7 sometimes sometimes RB 39713 6212 8 were be VBD 39713 6212 9 false false JJ 39713 6212 10 . . . 39713 6213 1 We -PRON- PRP 39713 6213 2 trusted trust VBD 39713 6213 3 to to TO 39713 6213 4 intuition intuition VB 39713 6213 5 ; ; : 39713 6213 6 but but CC 39713 6213 7 intuition intuition NN 39713 6213 8 can can MD 39713 6213 9 not not RB 39713 6213 10 give give VB 39713 6213 11 rigor rigor NN 39713 6213 12 , , , 39713 6213 13 nor nor CC 39713 6213 14 even even RB 39713 6213 15 certainty certainty NN 39713 6213 16 ; ; : 39713 6213 17 we -PRON- PRP 39713 6213 18 see see VBP 39713 6213 19 this this DT 39713 6213 20 more more RBR 39713 6213 21 and and CC 39713 6213 22 more more RBR 39713 6213 23 . . . 39713 6214 1 It -PRON- PRP 39713 6214 2 tells tell VBZ 39713 6214 3 us -PRON- PRP 39713 6214 4 for for IN 39713 6214 5 instance instance NN 39713 6214 6 that that WDT 39713 6214 7 every every DT 39713 6214 8 curve curve NN 39713 6214 9 has have VBZ 39713 6214 10 a a DT 39713 6214 11 tangent tangent NN 39713 6214 12 , , , 39713 6214 13 that that DT 39713 6214 14 is be VBZ 39713 6214 15 to to TO 39713 6214 16 say say VB 39713 6214 17 that that IN 39713 6214 18 every every DT 39713 6214 19 continuous continuous JJ 39713 6214 20 function function NN 39713 6214 21 has have VBZ 39713 6214 22 a a DT 39713 6214 23 derivative derivative NN 39713 6214 24 , , , 39713 6214 25 and and CC 39713 6214 26 that that DT 39713 6214 27 is be VBZ 39713 6214 28 false false JJ 39713 6214 29 . . . 39713 6215 1 And and CC 39713 6215 2 as as IN 39713 6215 3 we -PRON- PRP 39713 6215 4 sought seek VBD 39713 6215 5 certainty certainty NN 39713 6215 6 , , , 39713 6215 7 we -PRON- PRP 39713 6215 8 had have VBD 39713 6215 9 to to TO 39713 6215 10 make make VB 39713 6215 11 less less JJR 39713 6215 12 and and CC 39713 6215 13 less less RBR 39713 6215 14 the the DT 39713 6215 15 part part NN 39713 6215 16 of of IN 39713 6215 17 intuition intuition NN 39713 6215 18 . . . 39713 6216 1 What what WP 39713 6216 2 has have VBZ 39713 6216 3 made make VBN 39713 6216 4 necessary necessary JJ 39713 6216 5 this this DT 39713 6216 6 evolution evolution NN 39713 6216 7 ? ? . 39713 6217 1 We -PRON- PRP 39713 6217 2 have have VBP 39713 6217 3 not not RB 39713 6217 4 been be VBN 39713 6217 5 slow slow JJ 39713 6217 6 to to TO 39713 6217 7 perceive perceive VB 39713 6217 8 that that IN 39713 6217 9 rigor rigor NN 39713 6217 10 could could MD 39713 6217 11 not not RB 39713 6217 12 be be VB 39713 6217 13 established establish VBN 39713 6217 14 in in IN 39713 6217 15 the the DT 39713 6217 16 reasonings reasoning NNS 39713 6217 17 , , , 39713 6217 18 if if IN 39713 6217 19 it -PRON- PRP 39713 6217 20 were be VBD 39713 6217 21 not not RB 39713 6217 22 first first RB 39713 6217 23 put put VBN 39713 6217 24 into into IN 39713 6217 25 the the DT 39713 6217 26 definitions definition NNS 39713 6217 27 . . . 39713 6218 1 The the DT 39713 6218 2 objects object NNS 39713 6218 3 occupying occupy VBG 39713 6218 4 mathematicians mathematician NNS 39713 6218 5 were be VBD 39713 6218 6 long long RB 39713 6218 7 ill ill RB 39713 6218 8 defined define VBN 39713 6218 9 ; ; : 39713 6218 10 we -PRON- PRP 39713 6218 11 thought think VBD 39713 6218 12 we -PRON- PRP 39713 6218 13 knew know VBD 39713 6218 14 them -PRON- PRP 39713 6218 15 because because IN 39713 6218 16 we -PRON- PRP 39713 6218 17 represented represent VBD 39713 6218 18 them -PRON- PRP 39713 6218 19 with with IN 39713 6218 20 the the DT 39713 6218 21 senses sense NNS 39713 6218 22 or or CC 39713 6218 23 the the DT 39713 6218 24 imagination imagination NN 39713 6218 25 ; ; : 39713 6218 26 but but CC 39713 6218 27 we -PRON- PRP 39713 6218 28 had have VBD 39713 6218 29 of of IN 39713 6218 30 them -PRON- PRP 39713 6218 31 only only RB 39713 6218 32 a a DT 39713 6218 33 rough rough JJ 39713 6218 34 image image NN 39713 6218 35 and and CC 39713 6218 36 not not RB 39713 6218 37 a a DT 39713 6218 38 precise precise JJ 39713 6218 39 concept concept NN 39713 6218 40 upon upon IN 39713 6218 41 which which WDT 39713 6218 42 reasoning reasoning NN 39713 6218 43 could could MD 39713 6218 44 take take VB 39713 6218 45 hold hold NN 39713 6218 46 . . . 39713 6219 1 It -PRON- PRP 39713 6219 2 is be VBZ 39713 6219 3 there there RB 39713 6219 4 that that WDT 39713 6219 5 the the DT 39713 6219 6 logicians logicians NNPS 39713 6219 7 would would MD 39713 6219 8 have have VB 39713 6219 9 done do VBN 39713 6219 10 well well RB 39713 6219 11 to to TO 39713 6219 12 direct direct VB 39713 6219 13 their -PRON- PRP$ 39713 6219 14 efforts effort NNS 39713 6219 15 . . . 39713 6220 1 So so RB 39713 6220 2 for for IN 39713 6220 3 the the DT 39713 6220 4 incommensurable incommensurable JJ 39713 6220 5 number number NN 39713 6220 6 , , , 39713 6220 7 the the DT 39713 6220 8 vague vague JJ 39713 6220 9 idea idea NN 39713 6220 10 of of IN 39713 6220 11 continuity continuity NN 39713 6220 12 , , , 39713 6220 13 which which WDT 39713 6220 14 we -PRON- PRP 39713 6220 15 owe owe VBP 39713 6220 16 to to TO 39713 6220 17 intuition intuition VB 39713 6220 18 , , , 39713 6220 19 has have VBZ 39713 6220 20 resolved resolve VBN 39713 6220 21 itself -PRON- PRP 39713 6220 22 into into IN 39713 6220 23 a a DT 39713 6220 24 complicated complicated JJ 39713 6220 25 system system NN 39713 6220 26 of of IN 39713 6220 27 inequalities inequality NNS 39713 6220 28 bearing bear VBG 39713 6220 29 on on IN 39713 6220 30 whole whole JJ 39713 6220 31 numbers number NNS 39713 6220 32 . . . 39713 6221 1 Thus thus RB 39713 6221 2 have have VBP 39713 6221 3 finally finally RB 39713 6221 4 vanished vanish VBN 39713 6221 5 all all PDT 39713 6221 6 those those DT 39713 6221 7 difficulties difficulty NNS 39713 6221 8 which which WDT 39713 6221 9 frightened frighten VBD 39713 6221 10 our -PRON- PRP$ 39713 6221 11 fathers father NNS 39713 6221 12 when when WRB 39713 6221 13 they -PRON- PRP 39713 6221 14 reflected reflect VBD 39713 6221 15 upon upon IN 39713 6221 16 the the DT 39713 6221 17 foundations foundation NNS 39713 6221 18 of of IN 39713 6221 19 the the DT 39713 6221 20 infinitesimal infinitesimal JJ 39713 6221 21 calculus calculus NN 39713 6221 22 . . . 39713 6222 1 To to NN 39713 6222 2 - - HYPH 39713 6222 3 day day NN 39713 6222 4 only only RB 39713 6222 5 whole whole JJ 39713 6222 6 numbers number NNS 39713 6222 7 are be VBP 39713 6222 8 left leave VBN 39713 6222 9 in in IN 39713 6222 10 analysis analysis NN 39713 6222 11 , , , 39713 6222 12 or or CC 39713 6222 13 systems system NNS 39713 6222 14 finite finite JJ 39713 6222 15 or or CC 39713 6222 16 infinite infinite NN 39713 6222 17 of of IN 39713 6222 18 whole whole JJ 39713 6222 19 numbers number NNS 39713 6222 20 , , , 39713 6222 21 bound bind VBN 39713 6222 22 by by IN 39713 6222 23 a a DT 39713 6222 24 plexus plexus NN 39713 6222 25 of of IN 39713 6222 26 equalities equality NNS 39713 6222 27 and and CC 39713 6222 28 inequalities inequality NNS 39713 6222 29 . . . 39713 6223 1 Mathematics mathematic NNS 39713 6223 2 we -PRON- PRP 39713 6223 3 say say VBP 39713 6223 4 is be VBZ 39713 6223 5 arithmetized arithmetize VBN 39713 6223 6 . . . 39713 6224 1 5 5 CD 39713 6224 2 . . . 39713 6225 1 But but CC 39713 6225 2 do do VBP 39713 6225 3 you -PRON- PRP 39713 6225 4 think think VB 39713 6225 5 mathematics mathematic NNS 39713 6225 6 has have VBZ 39713 6225 7 attained attain VBN 39713 6225 8 absolute absolute JJ 39713 6225 9 rigor rigor NN 39713 6225 10 without without IN 39713 6225 11 making make VBG 39713 6225 12 any any DT 39713 6225 13 sacrifice sacrifice NN 39713 6225 14 ? ? . 39713 6226 1 Not not RB 39713 6226 2 at at RB 39713 6226 3 all all RB 39713 6226 4 ; ; : 39713 6226 5 what what WP 39713 6226 6 it -PRON- PRP 39713 6226 7 has have VBZ 39713 6226 8 gained gain VBN 39713 6226 9 in in IN 39713 6226 10 rigor rigor NN 39713 6226 11 it -PRON- PRP 39713 6226 12 has have VBZ 39713 6226 13 lost lose VBN 39713 6226 14 in in IN 39713 6226 15 objectivity objectivity NN 39713 6226 16 . . . 39713 6227 1 It -PRON- PRP 39713 6227 2 is be VBZ 39713 6227 3 by by IN 39713 6227 4 separating separate VBG 39713 6227 5 itself -PRON- PRP 39713 6227 6 from from IN 39713 6227 7 reality reality NN 39713 6227 8 that that IN 39713 6227 9 it -PRON- PRP 39713 6227 10 has have VBZ 39713 6227 11 acquired acquire VBN 39713 6227 12 this this DT 39713 6227 13 perfect perfect JJ 39713 6227 14 purity purity NN 39713 6227 15 . . . 39713 6228 1 We -PRON- PRP 39713 6228 2 may may MD 39713 6228 3 freely freely RB 39713 6228 4 run run VB 39713 6228 5 over over IN 39713 6228 6 its -PRON- PRP$ 39713 6228 7 whole whole JJ 39713 6228 8 domain domain NN 39713 6228 9 , , , 39713 6228 10 formerly formerly RB 39713 6228 11 bristling bristle VBG 39713 6228 12 with with IN 39713 6228 13 obstacles obstacle NNS 39713 6228 14 , , , 39713 6228 15 but but CC 39713 6228 16 these these DT 39713 6228 17 obstacles obstacle NNS 39713 6228 18 have have VBP 39713 6228 19 not not RB 39713 6228 20 disappeared disappear VBN 39713 6228 21 . . . 39713 6229 1 They -PRON- PRP 39713 6229 2 have have VBP 39713 6229 3 only only RB 39713 6229 4 been be VBN 39713 6229 5 moved move VBN 39713 6229 6 to to IN 39713 6229 7 the the DT 39713 6229 8 frontier frontier NN 39713 6229 9 , , , 39713 6229 10 and and CC 39713 6229 11 it -PRON- PRP 39713 6229 12 would would MD 39713 6229 13 be be VB 39713 6229 14 necessary necessary JJ 39713 6229 15 to to TO 39713 6229 16 vanquish vanquish VB 39713 6229 17 them -PRON- PRP 39713 6229 18 anew anew RB 39713 6229 19 if if IN 39713 6229 20 we -PRON- PRP 39713 6229 21 wished wish VBD 39713 6229 22 to to TO 39713 6229 23 break break VB 39713 6229 24 over over RP 39713 6229 25 this this DT 39713 6229 26 frontier frontier NN 39713 6229 27 to to TO 39713 6229 28 enter enter VB 39713 6229 29 the the DT 39713 6229 30 realm realm NN 39713 6229 31 of of IN 39713 6229 32 the the DT 39713 6229 33 practical practical JJ 39713 6229 34 . . . 39713 6230 1 We -PRON- PRP 39713 6230 2 had have VBD 39713 6230 3 a a DT 39713 6230 4 vague vague JJ 39713 6230 5 notion notion NN 39713 6230 6 , , , 39713 6230 7 formed form VBN 39713 6230 8 of of IN 39713 6230 9 incongruous incongruous JJ 39713 6230 10 elements element NNS 39713 6230 11 , , , 39713 6230 12 some some DT 39713 6230 13 _ _ NNP 39713 6230 14 a a DT 39713 6230 15 priori priori FW 39713 6230 16 _ _ NNP 39713 6230 17 , , , 39713 6230 18 others other NNS 39713 6230 19 coming come VBG 39713 6230 20 from from IN 39713 6230 21 experiences experience NNS 39713 6230 22 more more RBR 39713 6230 23 or or CC 39713 6230 24 less less RBR 39713 6230 25 digested digested JJ 39713 6230 26 ; ; : 39713 6230 27 we -PRON- PRP 39713 6230 28 thought think VBD 39713 6230 29 we -PRON- PRP 39713 6230 30 knew know VBD 39713 6230 31 , , , 39713 6230 32 by by IN 39713 6230 33 intuition intuition NN 39713 6230 34 , , , 39713 6230 35 its -PRON- PRP$ 39713 6230 36 principal principal JJ 39713 6230 37 properties property NNS 39713 6230 38 . . . 39713 6231 1 To to IN 39713 6231 2 - - HYPH 39713 6231 3 day day NN 39713 6231 4 we -PRON- PRP 39713 6231 5 reject reject VBP 39713 6231 6 the the DT 39713 6231 7 empiric empiric JJ 39713 6231 8 elements element NNS 39713 6231 9 , , , 39713 6231 10 retaining retain VBG 39713 6231 11 only only RB 39713 6231 12 the the DT 39713 6231 13 _ _ NNP 39713 6231 14 a a DT 39713 6231 15 priori priori FW 39713 6231 16 _ _ NNP 39713 6231 17 ; ; : 39713 6231 18 one one CD 39713 6231 19 of of IN 39713 6231 20 the the DT 39713 6231 21 properties property NNS 39713 6231 22 serves serve VBZ 39713 6231 23 as as IN 39713 6231 24 definition definition NN 39713 6231 25 and and CC 39713 6231 26 all all PDT 39713 6231 27 the the DT 39713 6231 28 others other NNS 39713 6231 29 are be VBP 39713 6231 30 deduced deduce VBN 39713 6231 31 from from IN 39713 6231 32 it -PRON- PRP 39713 6231 33 by by IN 39713 6231 34 rigorous rigorous JJ 39713 6231 35 reasoning reasoning NN 39713 6231 36 . . . 39713 6232 1 This this DT 39713 6232 2 is be VBZ 39713 6232 3 all all DT 39713 6232 4 very very RB 39713 6232 5 well well RB 39713 6232 6 , , , 39713 6232 7 but but CC 39713 6232 8 it -PRON- PRP 39713 6232 9 remains remain VBZ 39713 6232 10 to to TO 39713 6232 11 be be VB 39713 6232 12 proved prove VBN 39713 6232 13 that that IN 39713 6232 14 this this DT 39713 6232 15 property property NN 39713 6232 16 , , , 39713 6232 17 which which WDT 39713 6232 18 has have VBZ 39713 6232 19 become become VBN 39713 6232 20 a a DT 39713 6232 21 definition definition NN 39713 6232 22 , , , 39713 6232 23 pertains pertain VBZ 39713 6232 24 to to IN 39713 6232 25 the the DT 39713 6232 26 real real JJ 39713 6232 27 objects object NNS 39713 6232 28 which which WDT 39713 6232 29 experience experience NN 39713 6232 30 had have VBD 39713 6232 31 made make VBN 39713 6232 32 known known JJ 39713 6232 33 to to IN 39713 6232 34 us -PRON- PRP 39713 6232 35 and and CC 39713 6232 36 whence whence UH 39713 6232 37 we -PRON- PRP 39713 6232 38 drew draw VBD 39713 6232 39 our -PRON- PRP$ 39713 6232 40 vague vague JJ 39713 6232 41 intuitive intuitive JJ 39713 6232 42 notion notion NN 39713 6232 43 . . . 39713 6233 1 To to TO 39713 6233 2 prove prove VB 39713 6233 3 that that DT 39713 6233 4 , , , 39713 6233 5 it -PRON- PRP 39713 6233 6 would would MD 39713 6233 7 be be VB 39713 6233 8 necessary necessary JJ 39713 6233 9 to to TO 39713 6233 10 appeal appeal VB 39713 6233 11 to to IN 39713 6233 12 experience experience NN 39713 6233 13 , , , 39713 6233 14 or or CC 39713 6233 15 to to TO 39713 6233 16 make make VB 39713 6233 17 an an DT 39713 6233 18 effort effort NN 39713 6233 19 of of IN 39713 6233 20 intuition intuition NN 39713 6233 21 , , , 39713 6233 22 and and CC 39713 6233 23 if if IN 39713 6233 24 we -PRON- PRP 39713 6233 25 could could MD 39713 6233 26 not not RB 39713 6233 27 prove prove VB 39713 6233 28 it -PRON- PRP 39713 6233 29 , , , 39713 6233 30 our -PRON- PRP$ 39713 6233 31 theorems theorem NNS 39713 6233 32 would would MD 39713 6233 33 be be VB 39713 6233 34 perfectly perfectly RB 39713 6233 35 rigorous rigorous JJ 39713 6233 36 , , , 39713 6233 37 but but CC 39713 6233 38 perfectly perfectly RB 39713 6233 39 useless useless JJ 39713 6233 40 . . . 39713 6234 1 Logic logic NN 39713 6234 2 sometimes sometimes RB 39713 6234 3 makes make VBZ 39713 6234 4 monsters monster NNS 39713 6234 5 . . . 39713 6235 1 Since since IN 39713 6235 2 half half PDT 39713 6235 3 a a DT 39713 6235 4 century century NN 39713 6235 5 we -PRON- PRP 39713 6235 6 have have VBP 39713 6235 7 seen see VBN 39713 6235 8 arise arise VB 39713 6235 9 a a DT 39713 6235 10 crowd crowd NN 39713 6235 11 of of IN 39713 6235 12 bizarre bizarre JJ 39713 6235 13 functions function NNS 39713 6235 14 which which WDT 39713 6235 15 seem seem VBP 39713 6235 16 to to TO 39713 6235 17 try try VB 39713 6235 18 to to TO 39713 6235 19 resemble resemble VB 39713 6235 20 as as RB 39713 6235 21 little little JJ 39713 6235 22 as as IN 39713 6235 23 possible possible JJ 39713 6235 24 the the DT 39713 6235 25 honest honest JJ 39713 6235 26 functions function NNS 39713 6235 27 which which WDT 39713 6235 28 serve serve VBP 39713 6235 29 some some DT 39713 6235 30 purpose purpose NN 39713 6235 31 . . . 39713 6236 1 No no DT 39713 6236 2 longer long JJR 39713 6236 3 continuity continuity NN 39713 6236 4 , , , 39713 6236 5 or or CC 39713 6236 6 perhaps perhaps RB 39713 6236 7 continuity continuity NN 39713 6236 8 , , , 39713 6236 9 but but CC 39713 6236 10 no no DT 39713 6236 11 derivatives derivative NNS 39713 6236 12 , , , 39713 6236 13 etc etc FW 39713 6236 14 . . . 39713 6237 1 Nay nay UH 39713 6237 2 more more RBR 39713 6237 3 , , , 39713 6237 4 from from IN 39713 6237 5 the the DT 39713 6237 6 logical logical JJ 39713 6237 7 point point NN 39713 6237 8 of of IN 39713 6237 9 view view NN 39713 6237 10 , , , 39713 6237 11 it -PRON- PRP 39713 6237 12 is be VBZ 39713 6237 13 these these DT 39713 6237 14 strange strange JJ 39713 6237 15 functions function NNS 39713 6237 16 which which WDT 39713 6237 17 are be VBP 39713 6237 18 the the DT 39713 6237 19 most most RBS 39713 6237 20 general general JJ 39713 6237 21 , , , 39713 6237 22 those those DT 39713 6237 23 one one NN 39713 6237 24 meets meet VBZ 39713 6237 25 without without IN 39713 6237 26 seeking seek VBG 39713 6237 27 no no RB 39713 6237 28 longer longer RB 39713 6237 29 appear appear VB 39713 6237 30 except except IN 39713 6237 31 as as RB 39713 6237 32 particular particular JJ 39713 6237 33 case case NN 39713 6237 34 . . . 39713 6238 1 There there EX 39713 6238 2 remains remain VBZ 39713 6238 3 for for IN 39713 6238 4 them -PRON- PRP 39713 6238 5 only only RB 39713 6238 6 a a DT 39713 6238 7 very very RB 39713 6238 8 small small JJ 39713 6238 9 corner corner NN 39713 6238 10 . . . 39713 6239 1 Heretofore heretofore RB 39713 6239 2 when when WRB 39713 6239 3 a a DT 39713 6239 4 new new JJ 39713 6239 5 function function NN 39713 6239 6 was be VBD 39713 6239 7 invented invent VBN 39713 6239 8 , , , 39713 6239 9 it -PRON- PRP 39713 6239 10 was be VBD 39713 6239 11 for for IN 39713 6239 12 some some DT 39713 6239 13 practical practical JJ 39713 6239 14 end end NN 39713 6239 15 ; ; : 39713 6239 16 to to IN 39713 6239 17 - - HYPH 39713 6239 18 day day NN 39713 6239 19 they -PRON- PRP 39713 6239 20 are be VBP 39713 6239 21 invented invent VBN 39713 6239 22 expressly expressly RB 39713 6239 23 to to TO 39713 6239 24 put put VB 39713 6239 25 at at IN 39713 6239 26 fault fault NN 39713 6239 27 the the DT 39713 6239 28 reasonings reasoning NNS 39713 6239 29 of of IN 39713 6239 30 our -PRON- PRP$ 39713 6239 31 fathers father NNS 39713 6239 32 , , , 39713 6239 33 and and CC 39713 6239 34 one one NN 39713 6239 35 never never RB 39713 6239 36 will will MD 39713 6239 37 get get VB 39713 6239 38 from from IN 39713 6239 39 them -PRON- PRP 39713 6239 40 anything anything NN 39713 6239 41 more more JJR 39713 6239 42 than than IN 39713 6239 43 that that DT 39713 6239 44 . . . 39713 6240 1 If if IN 39713 6240 2 logic logic NN 39713 6240 3 were be VBD 39713 6240 4 the the DT 39713 6240 5 sole sole JJ 39713 6240 6 guide guide NN 39713 6240 7 of of IN 39713 6240 8 the the DT 39713 6240 9 teacher teacher NN 39713 6240 10 , , , 39713 6240 11 it -PRON- PRP 39713 6240 12 would would MD 39713 6240 13 be be VB 39713 6240 14 necessary necessary JJ 39713 6240 15 to to TO 39713 6240 16 begin begin VB 39713 6240 17 with with IN 39713 6240 18 the the DT 39713 6240 19 most most RBS 39713 6240 20 general general JJ 39713 6240 21 functions function NNS 39713 6240 22 , , , 39713 6240 23 that that DT 39713 6240 24 is be VBZ 39713 6240 25 to to TO 39713 6240 26 say say VB 39713 6240 27 with with IN 39713 6240 28 the the DT 39713 6240 29 most most RBS 39713 6240 30 bizarre bizarre JJ 39713 6240 31 . . . 39713 6241 1 It -PRON- PRP 39713 6241 2 is be VBZ 39713 6241 3 the the DT 39713 6241 4 beginner beginner NN 39713 6241 5 that that WDT 39713 6241 6 would would MD 39713 6241 7 have have VB 39713 6241 8 to to TO 39713 6241 9 be be VB 39713 6241 10 set set VBN 39713 6241 11 grappling grapple VBG 39713 6241 12 with with IN 39713 6241 13 this this DT 39713 6241 14 teratologic teratologic NN 39713 6241 15 museum museum NN 39713 6241 16 . . . 39713 6242 1 If if IN 39713 6242 2 you -PRON- PRP 39713 6242 3 do do VBP 39713 6242 4 not not RB 39713 6242 5 do do VB 39713 6242 6 it -PRON- PRP 39713 6242 7 , , , 39713 6242 8 the the DT 39713 6242 9 logicians logicians NNPS 39713 6242 10 might may MD 39713 6242 11 say say VB 39713 6242 12 , , , 39713 6242 13 you -PRON- PRP 39713 6242 14 will will MD 39713 6242 15 achieve achieve VB 39713 6242 16 rigor rigor NN 39713 6242 17 only only RB 39713 6242 18 by by IN 39713 6242 19 stages stage NNS 39713 6242 20 . . . 39713 6243 1 6 6 CD 39713 6243 2 . . . 39713 6244 1 Yes yes UH 39713 6244 2 , , , 39713 6244 3 perhaps perhaps RB 39713 6244 4 , , , 39713 6244 5 but but CC 39713 6244 6 we -PRON- PRP 39713 6244 7 can can MD 39713 6244 8 not not RB 39713 6244 9 make make VB 39713 6244 10 so so RB 39713 6244 11 cheap cheap JJ 39713 6244 12 of of IN 39713 6244 13 reality reality NN 39713 6244 14 , , , 39713 6244 15 and and CC 39713 6244 16 I -PRON- PRP 39713 6244 17 mean mean VBP 39713 6244 18 not not RB 39713 6244 19 only only RB 39713 6244 20 the the DT 39713 6244 21 reality reality NN 39713 6244 22 of of IN 39713 6244 23 the the DT 39713 6244 24 sensible sensible JJ 39713 6244 25 world world NN 39713 6244 26 , , , 39713 6244 27 which which WDT 39713 6244 28 however however RB 39713 6244 29 has have VBZ 39713 6244 30 its -PRON- PRP$ 39713 6244 31 worth worth NN 39713 6244 32 , , , 39713 6244 33 since since IN 39713 6244 34 it -PRON- PRP 39713 6244 35 is be VBZ 39713 6244 36 to to TO 39713 6244 37 combat combat VB 39713 6244 38 against against IN 39713 6244 39 it -PRON- PRP 39713 6244 40 that that IN 39713 6244 41 nine nine CD 39713 6244 42 tenths tenth NNS 39713 6244 43 of of IN 39713 6244 44 your -PRON- PRP$ 39713 6244 45 students student NNS 39713 6244 46 ask ask VBP 39713 6244 47 of of IN 39713 6244 48 you -PRON- PRP 39713 6244 49 weapons weapon NNS 39713 6244 50 . . . 39713 6245 1 There there EX 39713 6245 2 is be VBZ 39713 6245 3 a a DT 39713 6245 4 reality reality NN 39713 6245 5 more more JJR 39713 6245 6 subtile subtile NN 39713 6245 7 , , , 39713 6245 8 which which WDT 39713 6245 9 makes make VBZ 39713 6245 10 the the DT 39713 6245 11 very very JJ 39713 6245 12 life life NN 39713 6245 13 of of IN 39713 6245 14 the the DT 39713 6245 15 mathematical mathematical JJ 39713 6245 16 beings being NNS 39713 6245 17 , , , 39713 6245 18 and and CC 39713 6245 19 which which WDT 39713 6245 20 is be VBZ 39713 6245 21 quite quite RB 39713 6245 22 other other JJ 39713 6245 23 than than IN 39713 6245 24 logic logic NN 39713 6245 25 . . . 39713 6246 1 Our -PRON- PRP$ 39713 6246 2 body body NN 39713 6246 3 is be VBZ 39713 6246 4 formed form VBN 39713 6246 5 of of IN 39713 6246 6 cells cell NNS 39713 6246 7 , , , 39713 6246 8 and and CC 39713 6246 9 the the DT 39713 6246 10 cells cell NNS 39713 6246 11 of of IN 39713 6246 12 atoms atom NNS 39713 6246 13 ; ; : 39713 6246 14 are be VBP 39713 6246 15 these these DT 39713 6246 16 cells cell NNS 39713 6246 17 and and CC 39713 6246 18 these these DT 39713 6246 19 atoms atom NNS 39713 6246 20 then then RB 39713 6246 21 all all PDT 39713 6246 22 the the DT 39713 6246 23 reality reality NN 39713 6246 24 of of IN 39713 6246 25 the the DT 39713 6246 26 human human JJ 39713 6246 27 body body NN 39713 6246 28 ? ? . 39713 6247 1 The the DT 39713 6247 2 way way NN 39713 6247 3 these these DT 39713 6247 4 cells cell NNS 39713 6247 5 are be VBP 39713 6247 6 arranged arrange VBN 39713 6247 7 , , , 39713 6247 8 whence whence NN 39713 6247 9 results result VBZ 39713 6247 10 the the DT 39713 6247 11 unity unity NN 39713 6247 12 of of IN 39713 6247 13 the the DT 39713 6247 14 individual individual NN 39713 6247 15 , , , 39713 6247 16 is be VBZ 39713 6247 17 it -PRON- PRP 39713 6247 18 not not RB 39713 6247 19 also also RB 39713 6247 20 a a DT 39713 6247 21 reality reality NN 39713 6247 22 and and CC 39713 6247 23 much much RB 39713 6247 24 more more RBR 39713 6247 25 interesting interesting JJ 39713 6247 26 ? ? . 39713 6248 1 A a DT 39713 6248 2 naturalist naturalist NN 39713 6248 3 who who WP 39713 6248 4 never never RB 39713 6248 5 had have VBD 39713 6248 6 studied study VBN 39713 6248 7 the the DT 39713 6248 8 elephant elephant NN 39713 6248 9 except except IN 39713 6248 10 in in IN 39713 6248 11 the the DT 39713 6248 12 microscope microscope NN 39713 6248 13 , , , 39713 6248 14 would would MD 39713 6248 15 he -PRON- PRP 39713 6248 16 think think VB 39713 6248 17 he -PRON- PRP 39713 6248 18 knew know VBD 39713 6248 19 the the DT 39713 6248 20 animal animal NN 39713 6248 21 adequately adequately RB 39713 6248 22 ? ? . 39713 6249 1 It -PRON- PRP 39713 6249 2 is be VBZ 39713 6249 3 the the DT 39713 6249 4 same same JJ 39713 6249 5 in in IN 39713 6249 6 mathematics mathematic NNS 39713 6249 7 . . . 39713 6250 1 When when WRB 39713 6250 2 the the DT 39713 6250 3 logician logician NNP 39713 6250 4 shall shall MD 39713 6250 5 have have VB 39713 6250 6 broken break VBN 39713 6250 7 up up RP 39713 6250 8 each each DT 39713 6250 9 demonstration demonstration NN 39713 6250 10 into into IN 39713 6250 11 a a DT 39713 6250 12 multitude multitude NN 39713 6250 13 of of IN 39713 6250 14 elementary elementary JJ 39713 6250 15 operations operation NNS 39713 6250 16 , , , 39713 6250 17 all all DT 39713 6250 18 correct correct JJ 39713 6250 19 , , , 39713 6250 20 he -PRON- PRP 39713 6250 21 still still RB 39713 6250 22 will will MD 39713 6250 23 not not RB 39713 6250 24 possess possess VB 39713 6250 25 the the DT 39713 6250 26 whole whole JJ 39713 6250 27 reality reality NN 39713 6250 28 ; ; : 39713 6250 29 this this DT 39713 6250 30 I -PRON- PRP 39713 6250 31 know know VBP 39713 6250 32 not not RB 39713 6250 33 what what WP 39713 6250 34 which which WDT 39713 6250 35 makes make VBZ 39713 6250 36 the the DT 39713 6250 37 unity unity NN 39713 6250 38 of of IN 39713 6250 39 the the DT 39713 6250 40 demonstration demonstration NN 39713 6250 41 will will MD 39713 6250 42 completely completely RB 39713 6250 43 escape escape VB 39713 6250 44 him -PRON- PRP 39713 6250 45 . . . 39713 6251 1 In in IN 39713 6251 2 the the DT 39713 6251 3 edifices edifice NNS 39713 6251 4 built build VBN 39713 6251 5 up up RP 39713 6251 6 by by IN 39713 6251 7 our -PRON- PRP$ 39713 6251 8 masters master NNS 39713 6251 9 , , , 39713 6251 10 of of IN 39713 6251 11 what what WP 39713 6251 12 use use NN 39713 6251 13 to to TO 39713 6251 14 admire admire VB 39713 6251 15 the the DT 39713 6251 16 work work NN 39713 6251 17 of of IN 39713 6251 18 the the DT 39713 6251 19 mason mason NN 39713 6251 20 if if IN 39713 6251 21 we -PRON- PRP 39713 6251 22 can can MD 39713 6251 23 not not RB 39713 6251 24 comprehend comprehend VB 39713 6251 25 the the DT 39713 6251 26 plan plan NN 39713 6251 27 of of IN 39713 6251 28 the the DT 39713 6251 29 architect architect NN 39713 6251 30 ? ? . 39713 6252 1 Now now RB 39713 6252 2 pure pure JJ 39713 6252 3 logic logic NN 39713 6252 4 can can MD 39713 6252 5 not not RB 39713 6252 6 give give VB 39713 6252 7 us -PRON- PRP 39713 6252 8 this this DT 39713 6252 9 appreciation appreciation NN 39713 6252 10 of of IN 39713 6252 11 the the DT 39713 6252 12 total total JJ 39713 6252 13 effect effect NN 39713 6252 14 ; ; : 39713 6252 15 this this DT 39713 6252 16 we -PRON- PRP 39713 6252 17 must must MD 39713 6252 18 ask ask VB 39713 6252 19 of of IN 39713 6252 20 intuition intuition NN 39713 6252 21 . . . 39713 6253 1 Take take VB 39713 6253 2 for for IN 39713 6253 3 instance instance NN 39713 6253 4 the the DT 39713 6253 5 idea idea NN 39713 6253 6 of of IN 39713 6253 7 continuous continuous JJ 39713 6253 8 function function NN 39713 6253 9 . . . 39713 6254 1 This this DT 39713 6254 2 is be VBZ 39713 6254 3 at at IN 39713 6254 4 first first RB 39713 6254 5 only only RB 39713 6254 6 a a DT 39713 6254 7 sensible sensible JJ 39713 6254 8 image image NN 39713 6254 9 , , , 39713 6254 10 a a DT 39713 6254 11 mark mark NN 39713 6254 12 traced trace VBN 39713 6254 13 by by IN 39713 6254 14 the the DT 39713 6254 15 chalk chalk NN 39713 6254 16 on on IN 39713 6254 17 the the DT 39713 6254 18 blackboard blackboard NN 39713 6254 19 . . . 39713 6255 1 Little little JJ 39713 6255 2 by by IN 39713 6255 3 little little JJ 39713 6255 4 it -PRON- PRP 39713 6255 5 is be VBZ 39713 6255 6 refined refined JJ 39713 6255 7 ; ; : 39713 6255 8 we -PRON- PRP 39713 6255 9 use use VBP 39713 6255 10 it -PRON- PRP 39713 6255 11 to to TO 39713 6255 12 construct construct VB 39713 6255 13 a a DT 39713 6255 14 complicated complicated JJ 39713 6255 15 system system NN 39713 6255 16 of of IN 39713 6255 17 inequalities inequality NNS 39713 6255 18 , , , 39713 6255 19 which which WDT 39713 6255 20 reproduces reproduce VBZ 39713 6255 21 all all PDT 39713 6255 22 the the DT 39713 6255 23 features feature NNS 39713 6255 24 of of IN 39713 6255 25 the the DT 39713 6255 26 primitive primitive JJ 39713 6255 27 image image NN 39713 6255 28 ; ; : 39713 6255 29 when when WRB 39713 6255 30 all all DT 39713 6255 31 is be VBZ 39713 6255 32 done do VBN 39713 6255 33 , , , 39713 6255 34 we -PRON- PRP 39713 6255 35 have have VBP 39713 6255 36 _ _ NNP 39713 6255 37 removed remove VBN 39713 6255 38 the the DT 39713 6255 39 centering center VBG 39713 6255 40 _ _ NNP 39713 6255 41 , , , 39713 6255 42 as as IN 39713 6255 43 after after IN 39713 6255 44 the the DT 39713 6255 45 construction construction NN 39713 6255 46 of of IN 39713 6255 47 an an DT 39713 6255 48 arch arch NN 39713 6255 49 ; ; : 39713 6255 50 this this DT 39713 6255 51 rough rough JJ 39713 6255 52 representation representation NN 39713 6255 53 , , , 39713 6255 54 support support NN 39713 6255 55 thenceforth thenceforth NN 39713 6255 56 useless useless JJ 39713 6255 57 , , , 39713 6255 58 has have VBZ 39713 6255 59 disappeared disappear VBN 39713 6255 60 and and CC 39713 6255 61 there there EX 39713 6255 62 remains remain VBZ 39713 6255 63 only only RB 39713 6255 64 the the DT 39713 6255 65 edifice edifice NN 39713 6255 66 itself -PRON- PRP 39713 6255 67 , , , 39713 6255 68 irreproachable irreproachable JJ 39713 6255 69 in in IN 39713 6255 70 the the DT 39713 6255 71 eyes eye NNS 39713 6255 72 of of IN 39713 6255 73 the the DT 39713 6255 74 logician logician NNP 39713 6255 75 . . . 39713 6256 1 And and CC 39713 6256 2 yet yet RB 39713 6256 3 , , , 39713 6256 4 if if IN 39713 6256 5 the the DT 39713 6256 6 professor professor NN 39713 6256 7 did do VBD 39713 6256 8 not not RB 39713 6256 9 recall recall VB 39713 6256 10 the the DT 39713 6256 11 primitive primitive JJ 39713 6256 12 image image NN 39713 6256 13 , , , 39713 6256 14 if if IN 39713 6256 15 he -PRON- PRP 39713 6256 16 did do VBD 39713 6256 17 not not RB 39713 6256 18 restore restore VB 39713 6256 19 momentarily momentarily RB 39713 6256 20 the the DT 39713 6256 21 _ _ NNP 39713 6256 22 centering center VBG 39713 6256 23 _ _ NNP 39713 6256 24 , , , 39713 6256 25 how how WRB 39713 6256 26 could could MD 39713 6256 27 the the DT 39713 6256 28 student student NN 39713 6256 29 divine divine JJ 39713 6256 30 by by IN 39713 6256 31 what what WDT 39713 6256 32 caprice caprice NN 39713 6256 33 all all PDT 39713 6256 34 these these DT 39713 6256 35 inequalities inequality NNS 39713 6256 36 have have VBP 39713 6256 37 been be VBN 39713 6256 38 scaffolded scaffold VBN 39713 6256 39 in in IN 39713 6256 40 this this DT 39713 6256 41 fashion fashion NN 39713 6256 42 one one CD 39713 6256 43 upon upon IN 39713 6256 44 another another DT 39713 6256 45 ? ? . 39713 6257 1 The the DT 39713 6257 2 definition definition NN 39713 6257 3 would would MD 39713 6257 4 be be VB 39713 6257 5 logically logically RB 39713 6257 6 correct correct JJ 39713 6257 7 , , , 39713 6257 8 but but CC 39713 6257 9 it -PRON- PRP 39713 6257 10 would would MD 39713 6257 11 not not RB 39713 6257 12 show show VB 39713 6257 13 him -PRON- PRP 39713 6257 14 the the DT 39713 6257 15 veritable veritable JJ 39713 6257 16 reality reality NN 39713 6257 17 . . . 39713 6258 1 7 7 LS 39713 6258 2 . . . 39713 6259 1 So so RB 39713 6259 2 back back RB 39713 6259 3 we -PRON- PRP 39713 6259 4 must must MD 39713 6259 5 return return VB 39713 6259 6 ; ; : 39713 6259 7 doubtless doubtless RB 39713 6259 8 it -PRON- PRP 39713 6259 9 is be VBZ 39713 6259 10 hard hard JJ 39713 6259 11 for for IN 39713 6259 12 a a DT 39713 6259 13 master master NN 39713 6259 14 to to TO 39713 6259 15 teach teach VB 39713 6259 16 what what WP 39713 6259 17 does do VBZ 39713 6259 18 not not RB 39713 6259 19 entirely entirely RB 39713 6259 20 satisfy satisfy VB 39713 6259 21 him -PRON- PRP 39713 6259 22 ; ; : 39713 6259 23 but but CC 39713 6259 24 the the DT 39713 6259 25 satisfaction satisfaction NN 39713 6259 26 of of IN 39713 6259 27 the the DT 39713 6259 28 master master NN 39713 6259 29 is be VBZ 39713 6259 30 not not RB 39713 6259 31 the the DT 39713 6259 32 unique unique JJ 39713 6259 33 object object NN 39713 6259 34 of of IN 39713 6259 35 teaching teaching NN 39713 6259 36 ; ; : 39713 6259 37 we -PRON- PRP 39713 6259 38 should should MD 39713 6259 39 first first RB 39713 6259 40 give give VB 39713 6259 41 attention attention NN 39713 6259 42 to to IN 39713 6259 43 what what WP 39713 6259 44 the the DT 39713 6259 45 mind mind NN 39713 6259 46 of of IN 39713 6259 47 the the DT 39713 6259 48 pupil pupil NN 39713 6259 49 is be VBZ 39713 6259 50 and and CC 39713 6259 51 to to IN 39713 6259 52 what what WP 39713 6259 53 we -PRON- PRP 39713 6259 54 wish wish VBP 39713 6259 55 it -PRON- PRP 39713 6259 56 to to TO 39713 6259 57 become become VB 39713 6259 58 . . . 39713 6260 1 Zoologists zoologist NNS 39713 6260 2 maintain maintain VBP 39713 6260 3 that that IN 39713 6260 4 the the DT 39713 6260 5 embryonic embryonic JJ 39713 6260 6 development development NN 39713 6260 7 of of IN 39713 6260 8 an an DT 39713 6260 9 animal animal NN 39713 6260 10 recapitulates recapitulate VBZ 39713 6260 11 in in IN 39713 6260 12 brief brief NN 39713 6260 13 the the DT 39713 6260 14 whole whole JJ 39713 6260 15 history history NN 39713 6260 16 of of IN 39713 6260 17 its -PRON- PRP$ 39713 6260 18 ancestors ancestor NNS 39713 6260 19 throughout throughout IN 39713 6260 20 geologic geologic NN 39713 6260 21 time time NN 39713 6260 22 . . . 39713 6261 1 It -PRON- PRP 39713 6261 2 seems seem VBZ 39713 6261 3 it -PRON- PRP 39713 6261 4 is be VBZ 39713 6261 5 the the DT 39713 6261 6 same same JJ 39713 6261 7 in in IN 39713 6261 8 the the DT 39713 6261 9 development development NN 39713 6261 10 of of IN 39713 6261 11 minds mind NNS 39713 6261 12 . . . 39713 6262 1 The the DT 39713 6262 2 teacher teacher NN 39713 6262 3 should should MD 39713 6262 4 make make VB 39713 6262 5 the the DT 39713 6262 6 child child NN 39713 6262 7 go go VB 39713 6262 8 over over IN 39713 6262 9 the the DT 39713 6262 10 path path NN 39713 6262 11 his -PRON- PRP$ 39713 6262 12 fathers father NNS 39713 6262 13 trod tread VBZ 39713 6262 14 ; ; : 39713 6262 15 more more RBR 39713 6262 16 rapidly rapidly RB 39713 6262 17 , , , 39713 6262 18 but but CC 39713 6262 19 without without IN 39713 6262 20 skipping skipping NN 39713 6262 21 stations station NNS 39713 6262 22 . . . 39713 6263 1 For for IN 39713 6263 2 this this DT 39713 6263 3 reason reason NN 39713 6263 4 , , , 39713 6263 5 the the DT 39713 6263 6 history history NN 39713 6263 7 of of IN 39713 6263 8 science science NN 39713 6263 9 should should MD 39713 6263 10 be be VB 39713 6263 11 our -PRON- PRP$ 39713 6263 12 first first JJ 39713 6263 13 guide guide NN 39713 6263 14 . . . 39713 6264 1 Our -PRON- PRP$ 39713 6264 2 fathers father NNS 39713 6264 3 thought think VBD 39713 6264 4 they -PRON- PRP 39713 6264 5 knew know VBD 39713 6264 6 what what WP 39713 6264 7 a a DT 39713 6264 8 fraction fraction NN 39713 6264 9 was be VBD 39713 6264 10 , , , 39713 6264 11 or or CC 39713 6264 12 continuity continuity NN 39713 6264 13 , , , 39713 6264 14 or or CC 39713 6264 15 the the DT 39713 6264 16 area area NN 39713 6264 17 of of IN 39713 6264 18 a a DT 39713 6264 19 curved curved JJ 39713 6264 20 surface surface NN 39713 6264 21 ; ; : 39713 6264 22 we -PRON- PRP 39713 6264 23 have have VBP 39713 6264 24 found find VBN 39713 6264 25 they -PRON- PRP 39713 6264 26 did do VBD 39713 6264 27 not not RB 39713 6264 28 know know VB 39713 6264 29 it -PRON- PRP 39713 6264 30 . . . 39713 6265 1 Just just RB 39713 6265 2 so so RB 39713 6265 3 our -PRON- PRP$ 39713 6265 4 scholars scholar NNS 39713 6265 5 think think VBP 39713 6265 6 they -PRON- PRP 39713 6265 7 know know VBP 39713 6265 8 it -PRON- PRP 39713 6265 9 when when WRB 39713 6265 10 they -PRON- PRP 39713 6265 11 begin begin VBP 39713 6265 12 the the DT 39713 6265 13 serious serious JJ 39713 6265 14 study study NN 39713 6265 15 of of IN 39713 6265 16 mathematics mathematic NNS 39713 6265 17 . . . 39713 6266 1 If if IN 39713 6266 2 without without IN 39713 6266 3 warning warn VBG 39713 6266 4 I -PRON- PRP 39713 6266 5 tell tell VBP 39713 6266 6 them -PRON- PRP 39713 6266 7 : : : 39713 6266 8 " " `` 39713 6266 9 No no UH 39713 6266 10 , , , 39713 6266 11 you -PRON- PRP 39713 6266 12 do do VBP 39713 6266 13 not not RB 39713 6266 14 know know VB 39713 6266 15 it -PRON- PRP 39713 6266 16 ; ; : 39713 6266 17 what what WP 39713 6266 18 you -PRON- PRP 39713 6266 19 think think VBP 39713 6266 20 you -PRON- PRP 39713 6266 21 understand understand VBP 39713 6266 22 , , , 39713 6266 23 you -PRON- PRP 39713 6266 24 do do VBP 39713 6266 25 not not RB 39713 6266 26 understand understand VB 39713 6266 27 ; ; : 39713 6266 28 I -PRON- PRP 39713 6266 29 must must MD 39713 6266 30 prove prove VB 39713 6266 31 to to IN 39713 6266 32 you -PRON- PRP 39713 6266 33 what what WP 39713 6266 34 seems seem VBZ 39713 6266 35 to to IN 39713 6266 36 you -PRON- PRP 39713 6266 37 evident evident JJ 39713 6266 38 , , , 39713 6266 39 " " '' 39713 6266 40 and and CC 39713 6266 41 if if IN 39713 6266 42 in in IN 39713 6266 43 the the DT 39713 6266 44 demonstration demonstration NN 39713 6266 45 I -PRON- PRP 39713 6266 46 support support VBP 39713 6266 47 myself -PRON- PRP 39713 6266 48 upon upon IN 39713 6266 49 premises premise NNS 39713 6266 50 which which WDT 39713 6266 51 to to IN 39713 6266 52 them -PRON- PRP 39713 6266 53 seem seem VBP 39713 6266 54 less less RBR 39713 6266 55 evident evident JJ 39713 6266 56 than than IN 39713 6266 57 the the DT 39713 6266 58 conclusion conclusion NN 39713 6266 59 , , , 39713 6266 60 what what WP 39713 6266 61 shall shall MD 39713 6266 62 the the DT 39713 6266 63 unfortunates unfortunate NNS 39713 6266 64 think think VB 39713 6266 65 ? ? . 39713 6267 1 They -PRON- PRP 39713 6267 2 will will MD 39713 6267 3 think think VB 39713 6267 4 that that IN 39713 6267 5 the the DT 39713 6267 6 science science NN 39713 6267 7 of of IN 39713 6267 8 mathematics mathematic NNS 39713 6267 9 is be VBZ 39713 6267 10 only only RB 39713 6267 11 an an DT 39713 6267 12 arbitrary arbitrary JJ 39713 6267 13 mass mass NN 39713 6267 14 of of IN 39713 6267 15 useless useless JJ 39713 6267 16 subtilities subtilitie NNS 39713 6267 17 ; ; : 39713 6267 18 either either CC 39713 6267 19 they -PRON- PRP 39713 6267 20 will will MD 39713 6267 21 be be VB 39713 6267 22 disgusted disgust VBN 39713 6267 23 with with IN 39713 6267 24 it -PRON- PRP 39713 6267 25 , , , 39713 6267 26 or or CC 39713 6267 27 they -PRON- PRP 39713 6267 28 will will MD 39713 6267 29 play play VB 39713 6267 30 it -PRON- PRP 39713 6267 31 as as IN 39713 6267 32 a a DT 39713 6267 33 game game NN 39713 6267 34 and and CC 39713 6267 35 will will MD 39713 6267 36 reach reach VB 39713 6267 37 a a DT 39713 6267 38 state state NN 39713 6267 39 of of IN 39713 6267 40 mind mind NN 39713 6267 41 like like IN 39713 6267 42 that that DT 39713 6267 43 of of IN 39713 6267 44 the the DT 39713 6267 45 Greek greek JJ 39713 6267 46 sophists sophist NNS 39713 6267 47 . . . 39713 6268 1 Later later RB 39713 6268 2 , , , 39713 6268 3 on on IN 39713 6268 4 the the DT 39713 6268 5 contrary contrary NN 39713 6268 6 , , , 39713 6268 7 when when WRB 39713 6268 8 the the DT 39713 6268 9 mind mind NN 39713 6268 10 of of IN 39713 6268 11 the the DT 39713 6268 12 scholar scholar NN 39713 6268 13 , , , 39713 6268 14 familiarized familiarize VBN 39713 6268 15 with with IN 39713 6268 16 mathematical mathematical JJ 39713 6268 17 reasoning reasoning NN 39713 6268 18 , , , 39713 6268 19 has have VBZ 39713 6268 20 been be VBN 39713 6268 21 matured mature VBN 39713 6268 22 by by IN 39713 6268 23 this this DT 39713 6268 24 long long JJ 39713 6268 25 frequentation frequentation NN 39713 6268 26 , , , 39713 6268 27 the the DT 39713 6268 28 doubts doubt NNS 39713 6268 29 will will MD 39713 6268 30 arise arise VB 39713 6268 31 of of IN 39713 6268 32 themselves -PRON- PRP 39713 6268 33 and and CC 39713 6268 34 then then RB 39713 6268 35 your -PRON- PRP$ 39713 6268 36 demonstration demonstration NN 39713 6268 37 will will MD 39713 6268 38 be be VB 39713 6268 39 welcome welcome JJ 39713 6268 40 . . . 39713 6269 1 It -PRON- PRP 39713 6269 2 will will MD 39713 6269 3 awaken awaken VB 39713 6269 4 new new JJ 39713 6269 5 doubts doubt NNS 39713 6269 6 , , , 39713 6269 7 and and CC 39713 6269 8 the the DT 39713 6269 9 questions question NNS 39713 6269 10 will will MD 39713 6269 11 arise arise VB 39713 6269 12 successively successively RB 39713 6269 13 to to IN 39713 6269 14 the the DT 39713 6269 15 child child NN 39713 6269 16 , , , 39713 6269 17 as as IN 39713 6269 18 they -PRON- PRP 39713 6269 19 arose arise VBD 39713 6269 20 successively successively RB 39713 6269 21 to to IN 39713 6269 22 our -PRON- PRP$ 39713 6269 23 fathers father NNS 39713 6269 24 , , , 39713 6269 25 until until IN 39713 6269 26 perfect perfect JJ 39713 6269 27 rigor rigor NN 39713 6269 28 alone alone RB 39713 6269 29 can can MD 39713 6269 30 satisfy satisfy VB 39713 6269 31 him -PRON- PRP 39713 6269 32 . . . 39713 6270 1 To to TO 39713 6270 2 doubt doubt VB 39713 6270 3 everything everything NN 39713 6270 4 does do VBZ 39713 6270 5 not not RB 39713 6270 6 suffice suffice VB 39713 6270 7 , , , 39713 6270 8 one one PRP 39713 6270 9 must must MD 39713 6270 10 know know VB 39713 6270 11 why why WRB 39713 6270 12 he -PRON- PRP 39713 6270 13 doubts doubt VBZ 39713 6270 14 . . . 39713 6271 1 8 8 LS 39713 6271 2 . . . 39713 6272 1 The the DT 39713 6272 2 principal principal JJ 39713 6272 3 aim aim NN 39713 6272 4 of of IN 39713 6272 5 mathematical mathematical JJ 39713 6272 6 teaching teaching NN 39713 6272 7 is be VBZ 39713 6272 8 to to TO 39713 6272 9 develop develop VB 39713 6272 10 certain certain JJ 39713 6272 11 faculties faculty NNS 39713 6272 12 of of IN 39713 6272 13 the the DT 39713 6272 14 mind mind NN 39713 6272 15 , , , 39713 6272 16 and and CC 39713 6272 17 among among IN 39713 6272 18 them -PRON- PRP 39713 6272 19 intuition intuition NN 39713 6272 20 is be VBZ 39713 6272 21 not not RB 39713 6272 22 the the DT 39713 6272 23 least least JJS 39713 6272 24 precious precious JJ 39713 6272 25 . . . 39713 6273 1 It -PRON- PRP 39713 6273 2 is be VBZ 39713 6273 3 through through IN 39713 6273 4 it -PRON- PRP 39713 6273 5 that that IN 39713 6273 6 the the DT 39713 6273 7 mathematical mathematical JJ 39713 6273 8 world world NN 39713 6273 9 remains remain VBZ 39713 6273 10 in in IN 39713 6273 11 contact contact NN 39713 6273 12 with with IN 39713 6273 13 the the DT 39713 6273 14 real real JJ 39713 6273 15 world world NN 39713 6273 16 , , , 39713 6273 17 and and CC 39713 6273 18 if if IN 39713 6273 19 pure pure JJ 39713 6273 20 mathematics mathematic NNS 39713 6273 21 could could MD 39713 6273 22 do do VB 39713 6273 23 without without IN 39713 6273 24 it -PRON- PRP 39713 6273 25 , , , 39713 6273 26 it -PRON- PRP 39713 6273 27 would would MD 39713 6273 28 always always RB 39713 6273 29 be be VB 39713 6273 30 necessary necessary JJ 39713 6273 31 to to TO 39713 6273 32 have have VB 39713 6273 33 recourse recourse VBN 39713 6273 34 to to IN 39713 6273 35 it -PRON- PRP 39713 6273 36 to to TO 39713 6273 37 fill fill VB 39713 6273 38 up up RP 39713 6273 39 the the DT 39713 6273 40 chasm chasm NN 39713 6273 41 which which WDT 39713 6273 42 separates separate VBZ 39713 6273 43 the the DT 39713 6273 44 symbol symbol NN 39713 6273 45 from from IN 39713 6273 46 reality reality NN 39713 6273 47 . . . 39713 6274 1 The the DT 39713 6274 2 practician practician NN 39713 6274 3 will will MD 39713 6274 4 always always RB 39713 6274 5 have have VB 39713 6274 6 need need NN 39713 6274 7 of of IN 39713 6274 8 it -PRON- PRP 39713 6274 9 , , , 39713 6274 10 and and CC 39713 6274 11 for for IN 39713 6274 12 one one CD 39713 6274 13 pure pure JJ 39713 6274 14 geometer geometer NN 39713 6274 15 there there EX 39713 6274 16 should should MD 39713 6274 17 be be VB 39713 6274 18 a a DT 39713 6274 19 hundred hundred CD 39713 6274 20 practicians practician NNS 39713 6274 21 . . . 39713 6275 1 The the DT 39713 6275 2 engineer engineer NN 39713 6275 3 should should MD 39713 6275 4 receive receive VB 39713 6275 5 a a DT 39713 6275 6 complete complete JJ 39713 6275 7 mathematical mathematical JJ 39713 6275 8 education education NN 39713 6275 9 , , , 39713 6275 10 but but CC 39713 6275 11 for for IN 39713 6275 12 what what WP 39713 6275 13 should should MD 39713 6275 14 it -PRON- PRP 39713 6275 15 serve serve VB 39713 6275 16 him -PRON- PRP 39713 6275 17 ? ? . 39713 6276 1 To to TO 39713 6276 2 see see VB 39713 6276 3 the the DT 39713 6276 4 different different JJ 39713 6276 5 aspects aspect NNS 39713 6276 6 of of IN 39713 6276 7 things thing NNS 39713 6276 8 and and CC 39713 6276 9 see see VB 39713 6276 10 them -PRON- PRP 39713 6276 11 quickly quickly RB 39713 6276 12 ; ; : 39713 6276 13 he -PRON- PRP 39713 6276 14 has have VBZ 39713 6276 15 no no DT 39713 6276 16 time time NN 39713 6276 17 to to IN 39713 6276 18 hunt hunt JJ 39713 6276 19 mice mouse NNS 39713 6276 20 . . . 39713 6277 1 It -PRON- PRP 39713 6277 2 is be VBZ 39713 6277 3 necessary necessary JJ 39713 6277 4 that that IN 39713 6277 5 , , , 39713 6277 6 in in IN 39713 6277 7 the the DT 39713 6277 8 complex complex JJ 39713 6277 9 physical physical JJ 39713 6277 10 objects object NNS 39713 6277 11 presented present VBN 39713 6277 12 to to IN 39713 6277 13 him -PRON- PRP 39713 6277 14 , , , 39713 6277 15 he -PRON- PRP 39713 6277 16 should should MD 39713 6277 17 promptly promptly RB 39713 6277 18 recognize recognize VB 39713 6277 19 the the DT 39713 6277 20 point point NN 39713 6277 21 where where WRB 39713 6277 22 the the DT 39713 6277 23 mathematical mathematical JJ 39713 6277 24 tools tool NNS 39713 6277 25 we -PRON- PRP 39713 6277 26 have have VBP 39713 6277 27 put put VBN 39713 6277 28 in in IN 39713 6277 29 his -PRON- PRP$ 39713 6277 30 hands hand NNS 39713 6277 31 can can MD 39713 6277 32 take take VB 39713 6277 33 hold hold NN 39713 6277 34 . . . 39713 6278 1 How how WRB 39713 6278 2 could could MD 39713 6278 3 he -PRON- PRP 39713 6278 4 do do VB 39713 6278 5 it -PRON- PRP 39713 6278 6 if if IN 39713 6278 7 we -PRON- PRP 39713 6278 8 should should MD 39713 6278 9 leave leave VB 39713 6278 10 between between IN 39713 6278 11 instruments instrument NNS 39713 6278 12 and and CC 39713 6278 13 objects object VBZ 39713 6278 14 the the DT 39713 6278 15 deep deep JJ 39713 6278 16 chasm chasm NN 39713 6278 17 hollowed hollow VBD 39713 6278 18 out out RP 39713 6278 19 by by IN 39713 6278 20 the the DT 39713 6278 21 logicians logicians NNPS 39713 6278 22 ? ? . 39713 6279 1 9 9 CD 39713 6279 2 . . . 39713 6280 1 Besides besides IN 39713 6280 2 the the DT 39713 6280 3 engineers engineer NNS 39713 6280 4 , , , 39713 6280 5 other other JJ 39713 6280 6 scholars scholar NNS 39713 6280 7 , , , 39713 6280 8 less less RBR 39713 6280 9 numerous numerous JJ 39713 6280 10 , , , 39713 6280 11 are be VBP 39713 6280 12 in in IN 39713 6280 13 their -PRON- PRP$ 39713 6280 14 turn turn NN 39713 6280 15 to to TO 39713 6280 16 become become VB 39713 6280 17 teachers teacher NNS 39713 6280 18 ; ; : 39713 6280 19 they -PRON- PRP 39713 6280 20 therefore therefore RB 39713 6280 21 must must MD 39713 6280 22 go go VB 39713 6280 23 to to IN 39713 6280 24 the the DT 39713 6280 25 very very JJ 39713 6280 26 bottom bottom NN 39713 6280 27 ; ; : 39713 6280 28 a a DT 39713 6280 29 knowledge knowledge NN 39713 6280 30 deep deep JJ 39713 6280 31 and and CC 39713 6280 32 rigorous rigorous JJ 39713 6280 33 of of IN 39713 6280 34 the the DT 39713 6280 35 first first JJ 39713 6280 36 principles principle NNS 39713 6280 37 is be VBZ 39713 6280 38 for for IN 39713 6280 39 them -PRON- PRP 39713 6280 40 before before IN 39713 6280 41 all all DT 39713 6280 42 indispensable indispensable JJ 39713 6280 43 . . . 39713 6281 1 But but CC 39713 6281 2 this this DT 39713 6281 3 is be VBZ 39713 6281 4 no no DT 39713 6281 5 reason reason NN 39713 6281 6 not not RB 39713 6281 7 to to TO 39713 6281 8 cultivate cultivate VB 39713 6281 9 in in IN 39713 6281 10 them -PRON- PRP 39713 6281 11 intuition intuition NN 39713 6281 12 ; ; : 39713 6281 13 for for IN 39713 6281 14 they -PRON- PRP 39713 6281 15 would would MD 39713 6281 16 get get VB 39713 6281 17 a a DT 39713 6281 18 false false JJ 39713 6281 19 idea idea NN 39713 6281 20 of of IN 39713 6281 21 the the DT 39713 6281 22 science science NN 39713 6281 23 if if IN 39713 6281 24 they -PRON- PRP 39713 6281 25 never never RB 39713 6281 26 looked look VBD 39713 6281 27 at at IN 39713 6281 28 it -PRON- PRP 39713 6281 29 except except IN 39713 6281 30 from from IN 39713 6281 31 a a DT 39713 6281 32 single single JJ 39713 6281 33 side side NN 39713 6281 34 , , , 39713 6281 35 and and CC 39713 6281 36 besides besides IN 39713 6281 37 they -PRON- PRP 39713 6281 38 could could MD 39713 6281 39 not not RB 39713 6281 40 develop develop VB 39713 6281 41 in in IN 39713 6281 42 their -PRON- PRP$ 39713 6281 43 students student NNS 39713 6281 44 a a DT 39713 6281 45 quality quality NN 39713 6281 46 they -PRON- PRP 39713 6281 47 did do VBD 39713 6281 48 not not RB 39713 6281 49 themselves -PRON- PRP 39713 6281 50 possess possess VB 39713 6281 51 . . . 39713 6282 1 For for IN 39713 6282 2 the the DT 39713 6282 3 pure pure JJ 39713 6282 4 geometer geometer NN 39713 6282 5 himself -PRON- PRP 39713 6282 6 , , , 39713 6282 7 this this DT 39713 6282 8 faculty faculty NN 39713 6282 9 is be VBZ 39713 6282 10 necessary necessary JJ 39713 6282 11 ; ; : 39713 6282 12 it -PRON- PRP 39713 6282 13 is be VBZ 39713 6282 14 by by IN 39713 6282 15 logic logic NN 39713 6282 16 one one CD 39713 6282 17 demonstrates demonstrate VBZ 39713 6282 18 , , , 39713 6282 19 by by IN 39713 6282 20 intuition intuition NN 39713 6282 21 one one CD 39713 6282 22 invents invent NNS 39713 6282 23 . . . 39713 6283 1 To to TO 39713 6283 2 know know VB 39713 6283 3 how how WRB 39713 6283 4 to to TO 39713 6283 5 criticize criticize VB 39713 6283 6 is be VBZ 39713 6283 7 good good JJ 39713 6283 8 , , , 39713 6283 9 to to TO 39713 6283 10 know know VB 39713 6283 11 how how WRB 39713 6283 12 to to TO 39713 6283 13 create create VB 39713 6283 14 is be VBZ 39713 6283 15 better well JJR 39713 6283 16 . . . 39713 6284 1 You -PRON- PRP 39713 6284 2 know know VBP 39713 6284 3 how how WRB 39713 6284 4 to to TO 39713 6284 5 recognize recognize VB 39713 6284 6 if if IN 39713 6284 7 a a DT 39713 6284 8 combination combination NN 39713 6284 9 is be VBZ 39713 6284 10 correct correct JJ 39713 6284 11 ; ; : 39713 6284 12 what what WP 39713 6284 13 a a DT 39713 6284 14 predicament predicament NN 39713 6284 15 if if IN 39713 6284 16 you -PRON- PRP 39713 6284 17 have have VBP 39713 6284 18 not not RB 39713 6284 19 the the DT 39713 6284 20 art art NN 39713 6284 21 of of IN 39713 6284 22 choosing choose VBG 39713 6284 23 among among IN 39713 6284 24 all all PDT 39713 6284 25 the the DT 39713 6284 26 possible possible JJ 39713 6284 27 combinations combination NNS 39713 6284 28 . . . 39713 6285 1 Logic logic NN 39713 6285 2 tells tell VBZ 39713 6285 3 us -PRON- PRP 39713 6285 4 that that IN 39713 6285 5 on on IN 39713 6285 6 such such JJ 39713 6285 7 and and CC 39713 6285 8 such such JJ 39713 6285 9 a a DT 39713 6285 10 way way NN 39713 6285 11 we -PRON- PRP 39713 6285 12 are be VBP 39713 6285 13 sure sure JJ 39713 6285 14 not not RB 39713 6285 15 to to TO 39713 6285 16 meet meet VB 39713 6285 17 any any DT 39713 6285 18 obstacle obstacle NN 39713 6285 19 ; ; : 39713 6285 20 it -PRON- PRP 39713 6285 21 does do VBZ 39713 6285 22 not not RB 39713 6285 23 say say VB 39713 6285 24 which which WDT 39713 6285 25 way way NN 39713 6285 26 leads lead VBZ 39713 6285 27 to to IN 39713 6285 28 the the DT 39713 6285 29 end end NN 39713 6285 30 . . . 39713 6286 1 For for IN 39713 6286 2 that that IN 39713 6286 3 it -PRON- PRP 39713 6286 4 is be VBZ 39713 6286 5 necessary necessary JJ 39713 6286 6 to to TO 39713 6286 7 see see VB 39713 6286 8 the the DT 39713 6286 9 end end NN 39713 6286 10 from from IN 39713 6286 11 afar afar RB 39713 6286 12 , , , 39713 6286 13 and and CC 39713 6286 14 the the DT 39713 6286 15 faculty faculty NN 39713 6286 16 which which WDT 39713 6286 17 teaches teach VBZ 39713 6286 18 us -PRON- PRP 39713 6286 19 to to TO 39713 6286 20 see see VB 39713 6286 21 is be VBZ 39713 6286 22 intuition intuition NN 39713 6286 23 . . . 39713 6287 1 Without without IN 39713 6287 2 it -PRON- PRP 39713 6287 3 the the DT 39713 6287 4 geometer geometer NN 39713 6287 5 would would MD 39713 6287 6 be be VB 39713 6287 7 like like IN 39713 6287 8 a a DT 39713 6287 9 writer writer NN 39713 6287 10 who who WP 39713 6287 11 should should MD 39713 6287 12 be be VB 39713 6287 13 versed verse VBN 39713 6287 14 in in IN 39713 6287 15 grammar grammar NN 39713 6287 16 but but CC 39713 6287 17 had have VBD 39713 6287 18 no no DT 39713 6287 19 ideas idea NNS 39713 6287 20 . . . 39713 6288 1 Now now RB 39713 6288 2 how how WRB 39713 6288 3 could could MD 39713 6288 4 this this DT 39713 6288 5 faculty faculty NN 39713 6288 6 develop develop VB 39713 6288 7 if if IN 39713 6288 8 , , , 39713 6288 9 as as RB 39713 6288 10 soon soon RB 39713 6288 11 as as IN 39713 6288 12 it -PRON- PRP 39713 6288 13 showed show VBD 39713 6288 14 itself -PRON- PRP 39713 6288 15 , , , 39713 6288 16 we -PRON- PRP 39713 6288 17 chase chase VBP 39713 6288 18 it -PRON- PRP 39713 6288 19 away away RB 39713 6288 20 and and CC 39713 6288 21 proscribe proscribe VBD 39713 6288 22 it -PRON- PRP 39713 6288 23 , , , 39713 6288 24 if if IN 39713 6288 25 we -PRON- PRP 39713 6288 26 learn learn VBP 39713 6288 27 to to TO 39713 6288 28 set set VB 39713 6288 29 it -PRON- PRP 39713 6288 30 at at IN 39713 6288 31 naught naught NN 39713 6288 32 before before IN 39713 6288 33 knowing know VBG 39713 6288 34 the the DT 39713 6288 35 good good NN 39713 6288 36 of of IN 39713 6288 37 it -PRON- PRP 39713 6288 38 . . . 39713 6289 1 And and CC 39713 6289 2 here here RB 39713 6289 3 permit permit VB 39713 6289 4 a a DT 39713 6289 5 parenthesis parenthesis NN 39713 6289 6 to to TO 39713 6289 7 insist insist VB 39713 6289 8 upon upon IN 39713 6289 9 the the DT 39713 6289 10 importance importance NN 39713 6289 11 of of IN 39713 6289 12 written write VBN 39713 6289 13 exercises exercise NNS 39713 6289 14 . . . 39713 6290 1 Written write VBN 39713 6290 2 compositions composition NNS 39713 6290 3 are be VBP 39713 6290 4 perhaps perhaps RB 39713 6290 5 not not RB 39713 6290 6 sufficiently sufficiently RB 39713 6290 7 emphasized emphasize VBN 39713 6290 8 in in IN 39713 6290 9 certain certain JJ 39713 6290 10 examinations examination NNS 39713 6290 11 , , , 39713 6290 12 at at IN 39713 6290 13 the the DT 39713 6290 14 polytechnic polytechnic JJ 39713 6290 15 school school NN 39713 6290 16 , , , 39713 6290 17 for for IN 39713 6290 18 instance instance NN 39713 6290 19 . . . 39713 6291 1 I -PRON- PRP 39713 6291 2 am be VBP 39713 6291 3 told tell VBN 39713 6291 4 they -PRON- PRP 39713 6291 5 would would MD 39713 6291 6 close close VB 39713 6291 7 the the DT 39713 6291 8 door door NN 39713 6291 9 against against IN 39713 6291 10 very very RB 39713 6291 11 good good JJ 39713 6291 12 scholars scholar NNS 39713 6291 13 who who WP 39713 6291 14 have have VBP 39713 6291 15 mastered master VBN 39713 6291 16 the the DT 39713 6291 17 course course NN 39713 6291 18 , , , 39713 6291 19 thoroughly thoroughly RB 39713 6291 20 understanding understand VBG 39713 6291 21 it -PRON- PRP 39713 6291 22 , , , 39713 6291 23 and and CC 39713 6291 24 who who WP 39713 6291 25 nevertheless nevertheless RB 39713 6291 26 are be VBP 39713 6291 27 incapable incapable JJ 39713 6291 28 of of IN 39713 6291 29 making make VBG 39713 6291 30 the the DT 39713 6291 31 slightest slight JJS 39713 6291 32 application application NN 39713 6291 33 . . . 39713 6292 1 I -PRON- PRP 39713 6292 2 have have VBP 39713 6292 3 just just RB 39713 6292 4 said say VBN 39713 6292 5 the the DT 39713 6292 6 word word NN 39713 6292 7 understand understand NN 39713 6292 8 has have VBZ 39713 6292 9 several several JJ 39713 6292 10 meanings meaning NNS 39713 6292 11 : : : 39713 6292 12 such such JJ 39713 6292 13 students student NNS 39713 6292 14 only only RB 39713 6292 15 understand understand VBP 39713 6292 16 in in IN 39713 6292 17 the the DT 39713 6292 18 first first JJ 39713 6292 19 way way NN 39713 6292 20 , , , 39713 6292 21 and and CC 39713 6292 22 we -PRON- PRP 39713 6292 23 have have VBP 39713 6292 24 seen see VBN 39713 6292 25 that that IN 39713 6292 26 suffices suffice NNS 39713 6292 27 neither neither DT 39713 6292 28 to to TO 39713 6292 29 make make VB 39713 6292 30 an an DT 39713 6292 31 engineer engineer NN 39713 6292 32 nor nor CC 39713 6292 33 a a DT 39713 6292 34 geometer geometer NN 39713 6292 35 . . . 39713 6293 1 Well well UH 39713 6293 2 , , , 39713 6293 3 since since IN 39713 6293 4 choice choice NN 39713 6293 5 must must MD 39713 6293 6 be be VB 39713 6293 7 made make VBN 39713 6293 8 , , , 39713 6293 9 I -PRON- PRP 39713 6293 10 prefer prefer VBP 39713 6293 11 those those DT 39713 6293 12 who who WP 39713 6293 13 understand understand VBP 39713 6293 14 completely completely RB 39713 6293 15 . . . 39713 6294 1 10 10 CD 39713 6294 2 . . . 39713 6295 1 But but CC 39713 6295 2 is be VBZ 39713 6295 3 the the DT 39713 6295 4 art art NN 39713 6295 5 of of IN 39713 6295 6 sound sound NN 39713 6295 7 reasoning reasoning NN 39713 6295 8 not not RB 39713 6295 9 also also RB 39713 6295 10 a a DT 39713 6295 11 precious precious JJ 39713 6295 12 thing thing NN 39713 6295 13 , , , 39713 6295 14 which which WDT 39713 6295 15 the the DT 39713 6295 16 professor professor NN 39713 6295 17 of of IN 39713 6295 18 mathematics mathematic NNS 39713 6295 19 ought ought MD 39713 6295 20 before before RB 39713 6295 21 all all RB 39713 6295 22 to to TO 39713 6295 23 cultivate cultivate VB 39713 6295 24 ? ? . 39713 6296 1 I -PRON- PRP 39713 6296 2 take take VBP 39713 6296 3 good good JJ 39713 6296 4 care care NN 39713 6296 5 not not RB 39713 6296 6 to to TO 39713 6296 7 forget forget VB 39713 6296 8 that that DT 39713 6296 9 . . . 39713 6297 1 It -PRON- PRP 39713 6297 2 should should MD 39713 6297 3 occupy occupy VB 39713 6297 4 our -PRON- PRP$ 39713 6297 5 attention attention NN 39713 6297 6 and and CC 39713 6297 7 from from IN 39713 6297 8 the the DT 39713 6297 9 very very JJ 39713 6297 10 beginning beginning NN 39713 6297 11 . . . 39713 6298 1 I -PRON- PRP 39713 6298 2 should should MD 39713 6298 3 be be VB 39713 6298 4 distressed distressed JJ 39713 6298 5 to to TO 39713 6298 6 see see VB 39713 6298 7 geometry geometry NN 39713 6298 8 degenerate degenerate VB 39713 6298 9 into into IN 39713 6298 10 I -PRON- PRP 39713 6298 11 know know VBP 39713 6298 12 not not RB 39713 6298 13 what what WP 39713 6298 14 tachymetry tachymetry NN 39713 6298 15 of of IN 39713 6298 16 low low JJ 39713 6298 17 grade grade NN 39713 6298 18 and and CC 39713 6298 19 I -PRON- PRP 39713 6298 20 by by IN 39713 6298 21 no no DT 39713 6298 22 means means NN 39713 6298 23 subscribe subscribe VB 39713 6298 24 to to IN 39713 6298 25 the the DT 39713 6298 26 extreme extreme JJ 39713 6298 27 doctrines doctrine NNS 39713 6298 28 of of IN 39713 6298 29 certain certain JJ 39713 6298 30 German german JJ 39713 6298 31 Oberlehrer Oberlehrer NNP 39713 6298 32 . . . 39713 6299 1 But but CC 39713 6299 2 there there EX 39713 6299 3 are be VBP 39713 6299 4 occasions occasion NNS 39713 6299 5 enough enough JJ 39713 6299 6 to to TO 39713 6299 7 exercise exercise VB 39713 6299 8 the the DT 39713 6299 9 scholars scholar NNS 39713 6299 10 in in IN 39713 6299 11 correct correct JJ 39713 6299 12 reasoning reasoning NN 39713 6299 13 in in IN 39713 6299 14 the the DT 39713 6299 15 parts part NNS 39713 6299 16 of of IN 39713 6299 17 mathematics mathematic NNS 39713 6299 18 where where WRB 39713 6299 19 the the DT 39713 6299 20 inconveniences inconvenience NNS 39713 6299 21 I -PRON- PRP 39713 6299 22 have have VBP 39713 6299 23 pointed point VBN 39713 6299 24 out out RP 39713 6299 25 do do VBP 39713 6299 26 not not RB 39713 6299 27 present present VB 39713 6299 28 themselves -PRON- PRP 39713 6299 29 . . . 39713 6300 1 There there EX 39713 6300 2 are be VBP 39713 6300 3 long long JJ 39713 6300 4 chains chain NNS 39713 6300 5 of of IN 39713 6300 6 theorems theorem NNS 39713 6300 7 where where WRB 39713 6300 8 absolute absolute JJ 39713 6300 9 logic logic NN 39713 6300 10 has have VBZ 39713 6300 11 reigned reign VBN 39713 6300 12 from from IN 39713 6300 13 the the DT 39713 6300 14 very very RB 39713 6300 15 first first JJ 39713 6300 16 and and CC 39713 6300 17 , , , 39713 6300 18 so so RB 39713 6300 19 to to TO 39713 6300 20 speak speak VB 39713 6300 21 , , , 39713 6300 22 quite quite RB 39713 6300 23 naturally naturally RB 39713 6300 24 , , , 39713 6300 25 where where WRB 39713 6300 26 the the DT 39713 6300 27 first first JJ 39713 6300 28 geometers geometer NNS 39713 6300 29 have have VBP 39713 6300 30 given give VBN 39713 6300 31 us -PRON- PRP 39713 6300 32 models model NNS 39713 6300 33 we -PRON- PRP 39713 6300 34 should should MD 39713 6300 35 constantly constantly RB 39713 6300 36 imitate imitate VB 39713 6300 37 and and CC 39713 6300 38 admire admire VBP 39713 6300 39 . . . 39713 6301 1 It -PRON- PRP 39713 6301 2 is be VBZ 39713 6301 3 in in IN 39713 6301 4 the the DT 39713 6301 5 exposition exposition NN 39713 6301 6 of of IN 39713 6301 7 first first JJ 39713 6301 8 principles principle NNS 39713 6301 9 that that IN 39713 6301 10 it -PRON- PRP 39713 6301 11 is be VBZ 39713 6301 12 necessary necessary JJ 39713 6301 13 to to TO 39713 6301 14 avoid avoid VB 39713 6301 15 too too RB 39713 6301 16 much much JJ 39713 6301 17 subtility subtility NN 39713 6301 18 ; ; : 39713 6301 19 there there RB 39713 6301 20 it -PRON- PRP 39713 6301 21 would would MD 39713 6301 22 be be VB 39713 6301 23 most most RBS 39713 6301 24 discouraging discouraging JJ 39713 6301 25 and and CC 39713 6301 26 moreover moreover RB 39713 6301 27 useless useless JJ 39713 6301 28 . . . 39713 6302 1 We -PRON- PRP 39713 6302 2 can can MD 39713 6302 3 not not RB 39713 6302 4 prove prove VB 39713 6302 5 everything everything NN 39713 6302 6 and and CC 39713 6302 7 we -PRON- PRP 39713 6302 8 can can MD 39713 6302 9 not not RB 39713 6302 10 define define VB 39713 6302 11 everything everything NN 39713 6302 12 ; ; : 39713 6302 13 and and CC 39713 6302 14 it -PRON- PRP 39713 6302 15 will will MD 39713 6302 16 always always RB 39713 6302 17 be be VB 39713 6302 18 necessary necessary JJ 39713 6302 19 to to TO 39713 6302 20 borrow borrow VB 39713 6302 21 from from IN 39713 6302 22 intuition intuition NN 39713 6302 23 ; ; : 39713 6302 24 what what WP 39713 6302 25 does do VBZ 39713 6302 26 it -PRON- PRP 39713 6302 27 matter matter VB 39713 6302 28 whether whether IN 39713 6302 29 it -PRON- PRP 39713 6302 30 be be VB 39713 6302 31 done do VBN 39713 6302 32 a a DT 39713 6302 33 little little RB 39713 6302 34 sooner soon RBR 39713 6302 35 or or CC 39713 6302 36 a a DT 39713 6302 37 little little JJ 39713 6302 38 later later RB 39713 6302 39 , , , 39713 6302 40 provided provide VBN 39713 6302 41 that that IN 39713 6302 42 in in IN 39713 6302 43 using use VBG 39713 6302 44 correctly correctly RB 39713 6302 45 premises premise NNS 39713 6302 46 it -PRON- PRP 39713 6302 47 has have VBZ 39713 6302 48 furnished furnish VBN 39713 6302 49 us -PRON- PRP 39713 6302 50 , , , 39713 6302 51 we -PRON- PRP 39713 6302 52 learn learn VBP 39713 6302 53 to to TO 39713 6302 54 reason reason VB 39713 6302 55 soundly soundly RB 39713 6302 56 . . . 39713 6303 1 11 11 CD 39713 6303 2 . . . 39713 6304 1 Is be VBZ 39713 6304 2 it -PRON- PRP 39713 6304 3 possible possible JJ 39713 6304 4 to to TO 39713 6304 5 fulfill fulfill VB 39713 6304 6 so so RB 39713 6304 7 many many JJ 39713 6304 8 opposing opposing JJ 39713 6304 9 conditions condition NNS 39713 6304 10 ? ? . 39713 6305 1 Is be VBZ 39713 6305 2 this this DT 39713 6305 3 possible possible JJ 39713 6305 4 in in IN 39713 6305 5 particular particular JJ 39713 6305 6 when when WRB 39713 6305 7 it -PRON- PRP 39713 6305 8 is be VBZ 39713 6305 9 a a DT 39713 6305 10 question question NN 39713 6305 11 of of IN 39713 6305 12 giving give VBG 39713 6305 13 a a DT 39713 6305 14 definition definition NN 39713 6305 15 ? ? . 39713 6306 1 How how WRB 39713 6306 2 find find VBP 39713 6306 3 a a DT 39713 6306 4 concise concise JJ 39713 6306 5 statement statement NN 39713 6306 6 satisfying satisfy VBG 39713 6306 7 at at IN 39713 6306 8 once once RB 39713 6306 9 the the DT 39713 6306 10 uncompromising uncompromising JJ 39713 6306 11 rules rule NNS 39713 6306 12 of of IN 39713 6306 13 logic logic NN 39713 6306 14 , , , 39713 6306 15 our -PRON- PRP$ 39713 6306 16 desire desire NN 39713 6306 17 to to TO 39713 6306 18 grasp grasp VB 39713 6306 19 the the DT 39713 6306 20 place place NN 39713 6306 21 of of IN 39713 6306 22 the the DT 39713 6306 23 new new JJ 39713 6306 24 notion notion NN 39713 6306 25 in in IN 39713 6306 26 the the DT 39713 6306 27 totality totality NN 39713 6306 28 of of IN 39713 6306 29 the the DT 39713 6306 30 science science NN 39713 6306 31 , , , 39713 6306 32 our -PRON- PRP$ 39713 6306 33 need need NN 39713 6306 34 of of IN 39713 6306 35 thinking think VBG 39713 6306 36 with with IN 39713 6306 37 images image NNS 39713 6306 38 ? ? . 39713 6307 1 Usually usually RB 39713 6307 2 it -PRON- PRP 39713 6307 3 will will MD 39713 6307 4 not not RB 39713 6307 5 be be VB 39713 6307 6 found find VBN 39713 6307 7 , , , 39713 6307 8 and and CC 39713 6307 9 this this DT 39713 6307 10 is be VBZ 39713 6307 11 why why WRB 39713 6307 12 it -PRON- PRP 39713 6307 13 is be VBZ 39713 6307 14 not not RB 39713 6307 15 enough enough JJ 39713 6307 16 to to TO 39713 6307 17 state state VB 39713 6307 18 a a DT 39713 6307 19 definition definition NN 39713 6307 20 ; ; : 39713 6307 21 it -PRON- PRP 39713 6307 22 must must MD 39713 6307 23 be be VB 39713 6307 24 prepared prepare VBN 39713 6307 25 for for IN 39713 6307 26 and and CC 39713 6307 27 justified justify VBN 39713 6307 28 . . . 39713 6308 1 What what WP 39713 6308 2 does do VBZ 39713 6308 3 that that DT 39713 6308 4 mean mean VB 39713 6308 5 ? ? . 39713 6309 1 You -PRON- PRP 39713 6309 2 know know VBP 39713 6309 3 it -PRON- PRP 39713 6309 4 has have VBZ 39713 6309 5 often often RB 39713 6309 6 been be VBN 39713 6309 7 said say VBN 39713 6309 8 : : : 39713 6309 9 every every DT 39713 6309 10 definition definition NN 39713 6309 11 implies imply VBZ 39713 6309 12 an an DT 39713 6309 13 assumption assumption NN 39713 6309 14 , , , 39713 6309 15 since since IN 39713 6309 16 it -PRON- PRP 39713 6309 17 affirms affirm VBZ 39713 6309 18 the the DT 39713 6309 19 existence existence NN 39713 6309 20 of of IN 39713 6309 21 the the DT 39713 6309 22 object object NN 39713 6309 23 defined define VBN 39713 6309 24 . . . 39713 6310 1 The the DT 39713 6310 2 definition definition NN 39713 6310 3 then then RB 39713 6310 4 will will MD 39713 6310 5 not not RB 39713 6310 6 be be VB 39713 6310 7 justified justify VBN 39713 6310 8 , , , 39713 6310 9 from from IN 39713 6310 10 the the DT 39713 6310 11 purely purely RB 39713 6310 12 logical logical JJ 39713 6310 13 point point NN 39713 6310 14 of of IN 39713 6310 15 view view NN 39713 6310 16 , , , 39713 6310 17 until until IN 39713 6310 18 one one CD 39713 6310 19 shall shall MD 39713 6310 20 have have VB 39713 6310 21 _ _ NNP 39713 6310 22 proved prove VBN 39713 6310 23 _ _ NNP 39713 6310 24 that that IN 39713 6310 25 it -PRON- PRP 39713 6310 26 involves involve VBZ 39713 6310 27 no no DT 39713 6310 28 contradiction contradiction NN 39713 6310 29 , , , 39713 6310 30 neither neither CC 39713 6310 31 in in IN 39713 6310 32 the the DT 39713 6310 33 terms term NNS 39713 6310 34 , , , 39713 6310 35 nor nor CC 39713 6310 36 with with IN 39713 6310 37 the the DT 39713 6310 38 verities verity NNS 39713 6310 39 previously previously RB 39713 6310 40 admitted admit VBD 39713 6310 41 . . . 39713 6311 1 But but CC 39713 6311 2 this this DT 39713 6311 3 is be VBZ 39713 6311 4 not not RB 39713 6311 5 enough enough JJ 39713 6311 6 ; ; : 39713 6311 7 the the DT 39713 6311 8 definition definition NN 39713 6311 9 is be VBZ 39713 6311 10 stated state VBN 39713 6311 11 to to IN 39713 6311 12 us -PRON- PRP 39713 6311 13 as as IN 39713 6311 14 a a DT 39713 6311 15 convention convention NN 39713 6311 16 ; ; : 39713 6311 17 but but CC 39713 6311 18 most most JJS 39713 6311 19 minds mind NNS 39713 6311 20 will will MD 39713 6311 21 revolt revolt VB 39713 6311 22 if if IN 39713 6311 23 we -PRON- PRP 39713 6311 24 wish wish VBP 39713 6311 25 to to TO 39713 6311 26 impose impose VB 39713 6311 27 it -PRON- PRP 39713 6311 28 upon upon IN 39713 6311 29 them -PRON- PRP 39713 6311 30 as as IN 39713 6311 31 an an DT 39713 6311 32 _ _ NNP 39713 6311 33 arbitrary arbitrary JJ 39713 6311 34 _ _ NNP 39713 6311 35 convention convention NN 39713 6311 36 . . . 39713 6312 1 They -PRON- PRP 39713 6312 2 will will MD 39713 6312 3 be be VB 39713 6312 4 satisfied satisfied JJ 39713 6312 5 only only RB 39713 6312 6 when when WRB 39713 6312 7 you -PRON- PRP 39713 6312 8 have have VBP 39713 6312 9 answered answer VBN 39713 6312 10 numerous numerous JJ 39713 6312 11 questions question NNS 39713 6312 12 . . . 39713 6313 1 Usually usually RB 39713 6313 2 mathematical mathematical JJ 39713 6313 3 definitions definition NNS 39713 6313 4 , , , 39713 6313 5 as as IN 39713 6313 6 M. M. NNP 39713 6313 7 Liard Liard NNP 39713 6313 8 has have VBZ 39713 6313 9 shown show VBN 39713 6313 10 , , , 39713 6313 11 are be VBP 39713 6313 12 veritable veritable JJ 39713 6313 13 constructions construction NNS 39713 6313 14 built build VBN 39713 6313 15 up up RP 39713 6313 16 wholly wholly RB 39713 6313 17 of of IN 39713 6313 18 more more JJR 39713 6313 19 simple simple JJ 39713 6313 20 notions notion NNS 39713 6313 21 . . . 39713 6314 1 But but CC 39713 6314 2 why why WRB 39713 6314 3 assemble assemble VB 39713 6314 4 these these DT 39713 6314 5 elements element NNS 39713 6314 6 in in IN 39713 6314 7 this this DT 39713 6314 8 way way NN 39713 6314 9 when when WRB 39713 6314 10 a a DT 39713 6314 11 thousand thousand CD 39713 6314 12 other other JJ 39713 6314 13 combinations combination NNS 39713 6314 14 were be VBD 39713 6314 15 possible possible JJ 39713 6314 16 ? ? . 39713 6315 1 Is be VBZ 39713 6315 2 it -PRON- PRP 39713 6315 3 by by IN 39713 6315 4 caprice caprice NN 39713 6315 5 ? ? . 39713 6316 1 If if IN 39713 6316 2 not not RB 39713 6316 3 , , , 39713 6316 4 why why WRB 39713 6316 5 had have VBD 39713 6316 6 this this DT 39713 6316 7 combination combination NN 39713 6316 8 more more RBR 39713 6316 9 right right NN 39713 6316 10 to to TO 39713 6316 11 exist exist VB 39713 6316 12 than than IN 39713 6316 13 all all PDT 39713 6316 14 the the DT 39713 6316 15 others other NNS 39713 6316 16 ? ? . 39713 6317 1 To to IN 39713 6317 2 what what WP 39713 6317 3 need need NN 39713 6317 4 does do VBZ 39713 6317 5 it -PRON- PRP 39713 6317 6 respond respond VB 39713 6317 7 ? ? . 39713 6318 1 How how WRB 39713 6318 2 was be VBD 39713 6318 3 it -PRON- PRP 39713 6318 4 foreseen foresee VBN 39713 6318 5 that that IN 39713 6318 6 it -PRON- PRP 39713 6318 7 would would MD 39713 6318 8 play play VB 39713 6318 9 an an DT 39713 6318 10 important important JJ 39713 6318 11 rôle rôle NN 39713 6318 12 in in IN 39713 6318 13 the the DT 39713 6318 14 development development NN 39713 6318 15 of of IN 39713 6318 16 the the DT 39713 6318 17 science science NN 39713 6318 18 , , , 39713 6318 19 that that IN 39713 6318 20 it -PRON- PRP 39713 6318 21 would would MD 39713 6318 22 abridge abridge VB 39713 6318 23 our -PRON- PRP$ 39713 6318 24 reasonings reasoning NNS 39713 6318 25 and and CC 39713 6318 26 our -PRON- PRP$ 39713 6318 27 calculations calculation NNS 39713 6318 28 ? ? . 39713 6319 1 Is be VBZ 39713 6319 2 there there EX 39713 6319 3 in in IN 39713 6319 4 nature nature NN 39713 6319 5 some some DT 39713 6319 6 familiar familiar JJ 39713 6319 7 object object NN 39713 6319 8 which which WDT 39713 6319 9 is be VBZ 39713 6319 10 so so RB 39713 6319 11 to to TO 39713 6319 12 speak speak VB 39713 6319 13 the the DT 39713 6319 14 rough rough JJ 39713 6319 15 and and CC 39713 6319 16 vague vague JJ 39713 6319 17 image image NN 39713 6319 18 of of IN 39713 6319 19 it -PRON- PRP 39713 6319 20 ? ? . 39713 6320 1 This this DT 39713 6320 2 is be VBZ 39713 6320 3 not not RB 39713 6320 4 all all DT 39713 6320 5 ; ; : 39713 6320 6 if if IN 39713 6320 7 you -PRON- PRP 39713 6320 8 answer answer VBP 39713 6320 9 all all PDT 39713 6320 10 these these DT 39713 6320 11 questions question NNS 39713 6320 12 in in IN 39713 6320 13 a a DT 39713 6320 14 satisfactory satisfactory JJ 39713 6320 15 manner manner NN 39713 6320 16 , , , 39713 6320 17 we -PRON- PRP 39713 6320 18 shall shall MD 39713 6320 19 see see VB 39713 6320 20 indeed indeed RB 39713 6320 21 that that IN 39713 6320 22 the the DT 39713 6320 23 new new RB 39713 6320 24 - - HYPH 39713 6320 25 born bear VBN 39713 6320 26 had have VBD 39713 6320 27 the the DT 39713 6320 28 right right NN 39713 6320 29 to to TO 39713 6320 30 be be VB 39713 6320 31 baptized baptize VBN 39713 6320 32 ; ; : 39713 6320 33 but but CC 39713 6320 34 neither neither DT 39713 6320 35 is be VBZ 39713 6320 36 the the DT 39713 6320 37 choice choice NN 39713 6320 38 of of IN 39713 6320 39 a a DT 39713 6320 40 name name NN 39713 6320 41 arbitrary arbitrary JJ 39713 6320 42 ; ; : 39713 6320 43 it -PRON- PRP 39713 6320 44 is be VBZ 39713 6320 45 needful needful JJ 39713 6320 46 to to TO 39713 6320 47 explain explain VB 39713 6320 48 by by IN 39713 6320 49 what what WP 39713 6320 50 analogies analogy NNS 39713 6320 51 one one CD 39713 6320 52 has have VBZ 39713 6320 53 been be VBN 39713 6320 54 guided guide VBN 39713 6320 55 and and CC 39713 6320 56 that that IN 39713 6320 57 if if IN 39713 6320 58 analogous analogous JJ 39713 6320 59 names name NNS 39713 6320 60 have have VBP 39713 6320 61 been be VBN 39713 6320 62 given give VBN 39713 6320 63 to to IN 39713 6320 64 different different JJ 39713 6320 65 things thing NNS 39713 6320 66 , , , 39713 6320 67 these these DT 39713 6320 68 things thing NNS 39713 6320 69 at at IN 39713 6320 70 least least JJS 39713 6320 71 differ differ VBP 39713 6320 72 only only RB 39713 6320 73 in in IN 39713 6320 74 material material NN 39713 6320 75 and and CC 39713 6320 76 are be VBP 39713 6320 77 allied ally VBN 39713 6320 78 in in IN 39713 6320 79 form form NN 39713 6320 80 ; ; : 39713 6320 81 that that IN 39713 6320 82 their -PRON- PRP$ 39713 6320 83 properties property NNS 39713 6320 84 are be VBP 39713 6320 85 analogous analogous JJ 39713 6320 86 and and CC 39713 6320 87 so so RB 39713 6320 88 to to TO 39713 6320 89 say say VB 39713 6320 90 parallel parallel NN 39713 6320 91 . . . 39713 6321 1 At at IN 39713 6321 2 this this DT 39713 6321 3 cost cost NN 39713 6321 4 we -PRON- PRP 39713 6321 5 may may MD 39713 6321 6 satisfy satisfy VB 39713 6321 7 all all DT 39713 6321 8 inclinations inclination NNS 39713 6321 9 . . . 39713 6322 1 If if IN 39713 6322 2 the the DT 39713 6322 3 statement statement NN 39713 6322 4 is be VBZ 39713 6322 5 correct correct JJ 39713 6322 6 enough enough RB 39713 6322 7 to to TO 39713 6322 8 please please VB 39713 6322 9 the the DT 39713 6322 10 logician logician NN 39713 6322 11 , , , 39713 6322 12 the the DT 39713 6322 13 justification justification NN 39713 6322 14 will will MD 39713 6322 15 satisfy satisfy VB 39713 6322 16 the the DT 39713 6322 17 intuitive intuitive JJ 39713 6322 18 . . . 39713 6323 1 But but CC 39713 6323 2 there there EX 39713 6323 3 is be VBZ 39713 6323 4 still still RB 39713 6323 5 a a DT 39713 6323 6 better well JJR 39713 6323 7 procedure procedure NN 39713 6323 8 ; ; : 39713 6323 9 wherever wherever WRB 39713 6323 10 possible possible JJ 39713 6323 11 , , , 39713 6323 12 the the DT 39713 6323 13 justification justification NN 39713 6323 14 should should MD 39713 6323 15 precede precede VB 39713 6323 16 the the DT 39713 6323 17 statement statement NN 39713 6323 18 and and CC 39713 6323 19 prepare prepare VB 39713 6323 20 for for IN 39713 6323 21 it -PRON- PRP 39713 6323 22 ; ; : 39713 6323 23 one one PRP 39713 6323 24 should should MD 39713 6323 25 be be VB 39713 6323 26 led lead VBN 39713 6323 27 on on IN 39713 6323 28 to to IN 39713 6323 29 the the DT 39713 6323 30 general general JJ 39713 6323 31 statement statement NN 39713 6323 32 by by IN 39713 6323 33 the the DT 39713 6323 34 study study NN 39713 6323 35 of of IN 39713 6323 36 some some DT 39713 6323 37 particular particular JJ 39713 6323 38 examples example NNS 39713 6323 39 . . . 39713 6324 1 Still still RB 39713 6324 2 another another DT 39713 6324 3 thing thing NN 39713 6324 4 : : : 39713 6324 5 each each DT 39713 6324 6 of of IN 39713 6324 7 the the DT 39713 6324 8 parts part NNS 39713 6324 9 of of IN 39713 6324 10 the the DT 39713 6324 11 statement statement NN 39713 6324 12 of of IN 39713 6324 13 a a DT 39713 6324 14 definition definition NN 39713 6324 15 has have VBZ 39713 6324 16 as as IN 39713 6324 17 aim aim NN 39713 6324 18 to to TO 39713 6324 19 distinguish distinguish VB 39713 6324 20 the the DT 39713 6324 21 thing thing NN 39713 6324 22 to to TO 39713 6324 23 be be VB 39713 6324 24 defined define VBN 39713 6324 25 from from IN 39713 6324 26 a a DT 39713 6324 27 class class NN 39713 6324 28 of of IN 39713 6324 29 other other JJ 39713 6324 30 neighboring neighboring NN 39713 6324 31 objects object NNS 39713 6324 32 . . . 39713 6325 1 The the DT 39713 6325 2 definition definition NN 39713 6325 3 will will MD 39713 6325 4 be be VB 39713 6325 5 understood understand VBN 39713 6325 6 only only RB 39713 6325 7 when when WRB 39713 6325 8 you -PRON- PRP 39713 6325 9 have have VBP 39713 6325 10 shown show VBN 39713 6325 11 , , , 39713 6325 12 not not RB 39713 6325 13 merely merely RB 39713 6325 14 the the DT 39713 6325 15 object object NN 39713 6325 16 defined define VBN 39713 6325 17 , , , 39713 6325 18 but but CC 39713 6325 19 the the DT 39713 6325 20 neighboring neighboring NN 39713 6325 21 objects object NNS 39713 6325 22 from from IN 39713 6325 23 which which WDT 39713 6325 24 it -PRON- PRP 39713 6325 25 is be VBZ 39713 6325 26 proper proper JJ 39713 6325 27 to to TO 39713 6325 28 distinguish distinguish VB 39713 6325 29 it -PRON- PRP 39713 6325 30 , , , 39713 6325 31 when when WRB 39713 6325 32 you -PRON- PRP 39713 6325 33 have have VBP 39713 6325 34 given give VBN 39713 6325 35 a a DT 39713 6325 36 grasp grasp NN 39713 6325 37 of of IN 39713 6325 38 the the DT 39713 6325 39 difference difference NN 39713 6325 40 and and CC 39713 6325 41 when when WRB 39713 6325 42 you -PRON- PRP 39713 6325 43 have have VBP 39713 6325 44 added add VBN 39713 6325 45 explicitly explicitly RB 39713 6325 46 : : : 39713 6325 47 this this DT 39713 6325 48 is be VBZ 39713 6325 49 why why WRB 39713 6325 50 in in IN 39713 6325 51 stating state VBG 39713 6325 52 the the DT 39713 6325 53 definition definition NN 39713 6325 54 I -PRON- PRP 39713 6325 55 have have VBP 39713 6325 56 said say VBN 39713 6325 57 this this DT 39713 6325 58 or or CC 39713 6325 59 that that DT 39713 6325 60 . . . 39713 6326 1 But but CC 39713 6326 2 it -PRON- PRP 39713 6326 3 is be VBZ 39713 6326 4 time time NN 39713 6326 5 to to TO 39713 6326 6 leave leave VB 39713 6326 7 generalities generality NNS 39713 6326 8 and and CC 39713 6326 9 examine examine VBP 39713 6326 10 how how WRB 39713 6326 11 the the DT 39713 6326 12 somewhat somewhat RB 39713 6326 13 abstract abstract JJ 39713 6326 14 principles principle NNS 39713 6326 15 I -PRON- PRP 39713 6326 16 have have VBP 39713 6326 17 expounded expound VBN 39713 6326 18 may may MD 39713 6326 19 be be VB 39713 6326 20 applied apply VBN 39713 6326 21 in in IN 39713 6326 22 arithmetic arithmetic JJ 39713 6326 23 , , , 39713 6326 24 geometry geometry NN 39713 6326 25 , , , 39713 6326 26 analysis analysis NN 39713 6326 27 and and CC 39713 6326 28 mechanics mechanic NNS 39713 6326 29 . . . 39713 6327 1 ARITHMETIC ARITHMETIC NNP 39713 6327 2 12 12 CD 39713 6327 3 . . . 39713 6328 1 The the DT 39713 6328 2 whole whole JJ 39713 6328 3 number number NN 39713 6328 4 is be VBZ 39713 6328 5 not not RB 39713 6328 6 to to TO 39713 6328 7 be be VB 39713 6328 8 defined define VBN 39713 6328 9 ; ; : 39713 6328 10 in in IN 39713 6328 11 return return NN 39713 6328 12 , , , 39713 6328 13 one one CD 39713 6328 14 ordinarily ordinarily RB 39713 6328 15 defines define VBZ 39713 6328 16 the the DT 39713 6328 17 operations operation NNS 39713 6328 18 upon upon IN 39713 6328 19 whole whole JJ 39713 6328 20 numbers number NNS 39713 6328 21 ; ; : 39713 6328 22 I -PRON- PRP 39713 6328 23 believe believe VBP 39713 6328 24 the the DT 39713 6328 25 scholars scholar NNS 39713 6328 26 learn learn VBP 39713 6328 27 these these DT 39713 6328 28 definitions definition NNS 39713 6328 29 by by IN 39713 6328 30 heart heart NN 39713 6328 31 and and CC 39713 6328 32 attach attach VB 39713 6328 33 no no DT 39713 6328 34 meaning meaning NN 39713 6328 35 to to IN 39713 6328 36 them -PRON- PRP 39713 6328 37 . . . 39713 6329 1 For for IN 39713 6329 2 that that DT 39713 6329 3 there there EX 39713 6329 4 are be VBP 39713 6329 5 two two CD 39713 6329 6 reasons reason NNS 39713 6329 7 : : : 39713 6329 8 first first RB 39713 6329 9 they -PRON- PRP 39713 6329 10 are be VBP 39713 6329 11 made make VBN 39713 6329 12 to to TO 39713 6329 13 learn learn VB 39713 6329 14 them -PRON- PRP 39713 6329 15 too too RB 39713 6329 16 soon soon RB 39713 6329 17 , , , 39713 6329 18 when when WRB 39713 6329 19 their -PRON- PRP$ 39713 6329 20 mind mind NN 39713 6329 21 as as IN 39713 6329 22 yet yet RB 39713 6329 23 feels feel VBZ 39713 6329 24 no no DT 39713 6329 25 need need NN 39713 6329 26 of of IN 39713 6329 27 them -PRON- PRP 39713 6329 28 ; ; : 39713 6329 29 then then RB 39713 6329 30 these these DT 39713 6329 31 definitions definition NNS 39713 6329 32 are be VBP 39713 6329 33 not not RB 39713 6329 34 satisfactory satisfactory JJ 39713 6329 35 from from IN 39713 6329 36 the the DT 39713 6329 37 logical logical JJ 39713 6329 38 point point NN 39713 6329 39 of of IN 39713 6329 40 view view NN 39713 6329 41 . . . 39713 6330 1 A a DT 39713 6330 2 good good JJ 39713 6330 3 definition definition NN 39713 6330 4 for for IN 39713 6330 5 addition addition NN 39713 6330 6 is be VBZ 39713 6330 7 not not RB 39713 6330 8 to to TO 39713 6330 9 be be VB 39713 6330 10 found find VBN 39713 6330 11 just just RB 39713 6330 12 simply simply RB 39713 6330 13 because because IN 39713 6330 14 we -PRON- PRP 39713 6330 15 must must MD 39713 6330 16 stop stop VB 39713 6330 17 and and CC 39713 6330 18 can can MD 39713 6330 19 not not RB 39713 6330 20 define define VB 39713 6330 21 everything everything NN 39713 6330 22 . . . 39713 6331 1 It -PRON- PRP 39713 6331 2 is be VBZ 39713 6331 3 not not RB 39713 6331 4 defining define VBG 39713 6331 5 addition addition NN 39713 6331 6 to to TO 39713 6331 7 say say VB 39713 6331 8 it -PRON- PRP 39713 6331 9 consists consist VBZ 39713 6331 10 in in IN 39713 6331 11 adding add VBG 39713 6331 12 . . . 39713 6332 1 All all DT 39713 6332 2 that that WDT 39713 6332 3 can can MD 39713 6332 4 be be VB 39713 6332 5 done do VBN 39713 6332 6 is be VBZ 39713 6332 7 to to TO 39713 6332 8 start start VB 39713 6332 9 from from IN 39713 6332 10 a a DT 39713 6332 11 certain certain JJ 39713 6332 12 number number NN 39713 6332 13 of of IN 39713 6332 14 concrete concrete JJ 39713 6332 15 examples example NNS 39713 6332 16 and and CC 39713 6332 17 say say VB 39713 6332 18 : : : 39713 6332 19 the the DT 39713 6332 20 operation operation NN 39713 6332 21 we -PRON- PRP 39713 6332 22 have have VBP 39713 6332 23 performed perform VBN 39713 6332 24 is be VBZ 39713 6332 25 called call VBN 39713 6332 26 addition addition NN 39713 6332 27 . . . 39713 6333 1 For for IN 39713 6333 2 subtraction subtraction NN 39713 6333 3 it -PRON- PRP 39713 6333 4 is be VBZ 39713 6333 5 quite quite RB 39713 6333 6 otherwise otherwise RB 39713 6333 7 ; ; : 39713 6333 8 it -PRON- PRP 39713 6333 9 may may MD 39713 6333 10 be be VB 39713 6333 11 logically logically RB 39713 6333 12 defined define VBN 39713 6333 13 as as IN 39713 6333 14 the the DT 39713 6333 15 operation operation NN 39713 6333 16 inverse inverse NN 39713 6333 17 to to IN 39713 6333 18 addition addition NN 39713 6333 19 ; ; : 39713 6333 20 but but CC 39713 6333 21 should should MD 39713 6333 22 we -PRON- PRP 39713 6333 23 begin begin VB 39713 6333 24 in in IN 39713 6333 25 that that DT 39713 6333 26 way way NN 39713 6333 27 ? ? . 39713 6334 1 Here here RB 39713 6334 2 also also RB 39713 6334 3 start start VBP 39713 6334 4 with with IN 39713 6334 5 examples example NNS 39713 6334 6 , , , 39713 6334 7 show show VB 39713 6334 8 on on IN 39713 6334 9 these these DT 39713 6334 10 examples example NNS 39713 6334 11 the the DT 39713 6334 12 reciprocity reciprocity NN 39713 6334 13 of of IN 39713 6334 14 the the DT 39713 6334 15 two two CD 39713 6334 16 operations operation NNS 39713 6334 17 ; ; : 39713 6334 18 thus thus RB 39713 6334 19 the the DT 39713 6334 20 definition definition NN 39713 6334 21 will will MD 39713 6334 22 be be VB 39713 6334 23 prepared prepare VBN 39713 6334 24 for for IN 39713 6334 25 and and CC 39713 6334 26 justified justify VBN 39713 6334 27 . . . 39713 6335 1 Just just RB 39713 6335 2 so so RB 39713 6335 3 again again RB 39713 6335 4 for for IN 39713 6335 5 multiplication multiplication NN 39713 6335 6 ; ; : 39713 6335 7 take take VB 39713 6335 8 a a DT 39713 6335 9 particular particular JJ 39713 6335 10 problem problem NN 39713 6335 11 ; ; : 39713 6335 12 show show VBP 39713 6335 13 that that IN 39713 6335 14 it -PRON- PRP 39713 6335 15 may may MD 39713 6335 16 be be VB 39713 6335 17 solved solve VBN 39713 6335 18 by by IN 39713 6335 19 adding add VBG 39713 6335 20 several several JJ 39713 6335 21 equal equal JJ 39713 6335 22 numbers number NNS 39713 6335 23 ; ; : 39713 6335 24 then then RB 39713 6335 25 show show VBP 39713 6335 26 that that IN 39713 6335 27 we -PRON- PRP 39713 6335 28 reach reach VBP 39713 6335 29 the the DT 39713 6335 30 result result NN 39713 6335 31 more more RBR 39713 6335 32 quickly quickly RB 39713 6335 33 by by IN 39713 6335 34 a a DT 39713 6335 35 multiplication multiplication NN 39713 6335 36 , , , 39713 6335 37 an an DT 39713 6335 38 operation operation NN 39713 6335 39 the the DT 39713 6335 40 scholars scholar NNS 39713 6335 41 already already RB 39713 6335 42 know know VBP 39713 6335 43 how how WRB 39713 6335 44 to to TO 39713 6335 45 do do VB 39713 6335 46 by by IN 39713 6335 47 routine routine NN 39713 6335 48 and and CC 39713 6335 49 out out IN 39713 6335 50 of of IN 39713 6335 51 that that DT 39713 6335 52 the the DT 39713 6335 53 logical logical JJ 39713 6335 54 definition definition NN 39713 6335 55 will will MD 39713 6335 56 issue issue VB 39713 6335 57 naturally naturally RB 39713 6335 58 . . . 39713 6336 1 Division division NN 39713 6336 2 is be VBZ 39713 6336 3 defined define VBN 39713 6336 4 as as IN 39713 6336 5 the the DT 39713 6336 6 operation operation NN 39713 6336 7 inverse inverse NN 39713 6336 8 to to IN 39713 6336 9 multiplication multiplication NN 39713 6336 10 ; ; : 39713 6336 11 but but CC 39713 6336 12 begin begin VB 39713 6336 13 by by IN 39713 6336 14 an an DT 39713 6336 15 example example NN 39713 6336 16 taken take VBN 39713 6336 17 from from IN 39713 6336 18 the the DT 39713 6336 19 familiar familiar JJ 39713 6336 20 notion notion NN 39713 6336 21 of of IN 39713 6336 22 partition partition NN 39713 6336 23 and and CC 39713 6336 24 show show NN 39713 6336 25 on on IN 39713 6336 26 this this DT 39713 6336 27 example example NN 39713 6336 28 that that IN 39713 6336 29 multiplication multiplication NNP 39713 6336 30 reproduces reproduce VBZ 39713 6336 31 the the DT 39713 6336 32 dividend dividend NN 39713 6336 33 . . . 39713 6337 1 There there EX 39713 6337 2 still still RB 39713 6337 3 remain remain VBP 39713 6337 4 the the DT 39713 6337 5 operations operation NNS 39713 6337 6 on on IN 39713 6337 7 fractions fraction NNS 39713 6337 8 . . . 39713 6338 1 The the DT 39713 6338 2 only only JJ 39713 6338 3 difficulty difficulty NN 39713 6338 4 is be VBZ 39713 6338 5 for for IN 39713 6338 6 multiplication multiplication NN 39713 6338 7 . . . 39713 6339 1 It -PRON- PRP 39713 6339 2 is be VBZ 39713 6339 3 best good JJS 39713 6339 4 to to TO 39713 6339 5 expound expound VB 39713 6339 6 first first RB 39713 6339 7 the the DT 39713 6339 8 theory theory NN 39713 6339 9 of of IN 39713 6339 10 proportion proportion NN 39713 6339 11 ; ; : 39713 6339 12 from from IN 39713 6339 13 it -PRON- PRP 39713 6339 14 alone alone RB 39713 6339 15 can can MD 39713 6339 16 come come VB 39713 6339 17 a a DT 39713 6339 18 logical logical JJ 39713 6339 19 definition definition NN 39713 6339 20 ; ; : 39713 6339 21 but but CC 39713 6339 22 to to TO 39713 6339 23 make make VB 39713 6339 24 acceptable acceptable JJ 39713 6339 25 the the DT 39713 6339 26 definitions definition NNS 39713 6339 27 met meet VBN 39713 6339 28 at at IN 39713 6339 29 the the DT 39713 6339 30 beginning beginning NN 39713 6339 31 of of IN 39713 6339 32 this this DT 39713 6339 33 theory theory NN 39713 6339 34 , , , 39713 6339 35 it -PRON- PRP 39713 6339 36 is be VBZ 39713 6339 37 necessary necessary JJ 39713 6339 38 to to TO 39713 6339 39 prepare prepare VB 39713 6339 40 for for IN 39713 6339 41 them -PRON- PRP 39713 6339 42 by by IN 39713 6339 43 numerous numerous JJ 39713 6339 44 examples example NNS 39713 6339 45 taken take VBN 39713 6339 46 from from IN 39713 6339 47 classic classic JJ 39713 6339 48 problems problem NNS 39713 6339 49 of of IN 39713 6339 50 the the DT 39713 6339 51 rule rule NN 39713 6339 52 of of IN 39713 6339 53 three three CD 39713 6339 54 , , , 39713 6339 55 taking take VBG 39713 6339 56 pains pain NNS 39713 6339 57 to to TO 39713 6339 58 introduce introduce VB 39713 6339 59 fractional fractional JJ 39713 6339 60 data datum NNS 39713 6339 61 . . . 39713 6340 1 Neither neither CC 39713 6340 2 should should MD 39713 6340 3 we -PRON- PRP 39713 6340 4 fear fear VB 39713 6340 5 to to TO 39713 6340 6 familiarize familiarize VB 39713 6340 7 the the DT 39713 6340 8 scholars scholar NNS 39713 6340 9 with with IN 39713 6340 10 the the DT 39713 6340 11 notion notion NN 39713 6340 12 of of IN 39713 6340 13 proportion proportion NN 39713 6340 14 by by IN 39713 6340 15 geometric geometric JJ 39713 6340 16 images image NNS 39713 6340 17 , , , 39713 6340 18 either either CC 39713 6340 19 by by IN 39713 6340 20 appealing appeal VBG 39713 6340 21 to to IN 39713 6340 22 what what WP 39713 6340 23 they -PRON- PRP 39713 6340 24 remember remember VBP 39713 6340 25 if if IN 39713 6340 26 they -PRON- PRP 39713 6340 27 have have VBP 39713 6340 28 already already RB 39713 6340 29 studied study VBN 39713 6340 30 geometry geometry NN 39713 6340 31 , , , 39713 6340 32 or or CC 39713 6340 33 in in IN 39713 6340 34 having have VBG 39713 6340 35 recourse recourse NN 39713 6340 36 to to IN 39713 6340 37 direct direct JJ 39713 6340 38 intuition intuition NN 39713 6340 39 , , , 39713 6340 40 if if IN 39713 6340 41 they -PRON- PRP 39713 6340 42 have have VBP 39713 6340 43 not not RB 39713 6340 44 studied study VBN 39713 6340 45 it -PRON- PRP 39713 6340 46 , , , 39713 6340 47 which which WDT 39713 6340 48 besides besides RB 39713 6340 49 will will MD 39713 6340 50 prepare prepare VB 39713 6340 51 them -PRON- PRP 39713 6340 52 to to TO 39713 6340 53 study study VB 39713 6340 54 it -PRON- PRP 39713 6340 55 . . . 39713 6341 1 Finally finally RB 39713 6341 2 I -PRON- PRP 39713 6341 3 shall shall MD 39713 6341 4 add add VB 39713 6341 5 that that IN 39713 6341 6 after after IN 39713 6341 7 defining define VBG 39713 6341 8 multiplication multiplication NN 39713 6341 9 of of IN 39713 6341 10 fractions fraction NNS 39713 6341 11 , , , 39713 6341 12 it -PRON- PRP 39713 6341 13 is be VBZ 39713 6341 14 needful needful JJ 39713 6341 15 to to TO 39713 6341 16 justify justify VB 39713 6341 17 this this DT 39713 6341 18 definition definition NN 39713 6341 19 by by IN 39713 6341 20 showing show VBG 39713 6341 21 that that IN 39713 6341 22 it -PRON- PRP 39713 6341 23 is be VBZ 39713 6341 24 commutative commutative JJ 39713 6341 25 , , , 39713 6341 26 associative associative JJ 39713 6341 27 and and CC 39713 6341 28 distributive distributive JJ 39713 6341 29 , , , 39713 6341 30 and and CC 39713 6341 31 calling call VBG 39713 6341 32 to to IN 39713 6341 33 the the DT 39713 6341 34 attention attention NN 39713 6341 35 of of IN 39713 6341 36 the the DT 39713 6341 37 auditors auditor NNS 39713 6341 38 that that IN 39713 6341 39 this this DT 39713 6341 40 is be VBZ 39713 6341 41 established establish VBN 39713 6341 42 to to TO 39713 6341 43 justify justify VB 39713 6341 44 the the DT 39713 6341 45 definition definition NN 39713 6341 46 . . . 39713 6342 1 One one PRP 39713 6342 2 sees see VBZ 39713 6342 3 what what WP 39713 6342 4 a a DT 39713 6342 5 rôle rôle RB 39713 6342 6 geometric geometric JJ 39713 6342 7 images image NNS 39713 6342 8 play play VBP 39713 6342 9 in in IN 39713 6342 10 all all PDT 39713 6342 11 this this DT 39713 6342 12 ; ; : 39713 6342 13 and and CC 39713 6342 14 this this DT 39713 6342 15 rôle rôle NN 39713 6342 16 is be VBZ 39713 6342 17 justified justify VBN 39713 6342 18 by by IN 39713 6342 19 the the DT 39713 6342 20 philosophy philosophy NN 39713 6342 21 and and CC 39713 6342 22 the the DT 39713 6342 23 history history NN 39713 6342 24 of of IN 39713 6342 25 the the DT 39713 6342 26 science science NN 39713 6342 27 . . . 39713 6343 1 If if IN 39713 6343 2 arithmetic arithmetic JJ 39713 6343 3 had have VBD 39713 6343 4 remained remain VBN 39713 6343 5 free free JJ 39713 6343 6 from from IN 39713 6343 7 all all DT 39713 6343 8 admixture admixture NN 39713 6343 9 of of IN 39713 6343 10 geometry geometry NN 39713 6343 11 , , , 39713 6343 12 it -PRON- PRP 39713 6343 13 would would MD 39713 6343 14 have have VB 39713 6343 15 known know VBN 39713 6343 16 only only RB 39713 6343 17 the the DT 39713 6343 18 whole whole JJ 39713 6343 19 number number NN 39713 6343 20 ; ; : 39713 6343 21 it -PRON- PRP 39713 6343 22 is be VBZ 39713 6343 23 to to TO 39713 6343 24 adapt adapt VB 39713 6343 25 itself -PRON- PRP 39713 6343 26 to to IN 39713 6343 27 the the DT 39713 6343 28 needs need NNS 39713 6343 29 of of IN 39713 6343 30 geometry geometry NN 39713 6343 31 that that WDT 39713 6343 32 it -PRON- PRP 39713 6343 33 invented invent VBD 39713 6343 34 anything anything NN 39713 6343 35 else else RB 39713 6343 36 . . . 39713 6344 1 GEOMETRY GEOMETRY NNP 39713 6344 2 In in IN 39713 6344 3 geometry geometry NN 39713 6344 4 we -PRON- PRP 39713 6344 5 meet meet VBP 39713 6344 6 forthwith forthwith NNP 39713 6344 7 the the DT 39713 6344 8 notion notion NN 39713 6344 9 of of IN 39713 6344 10 the the DT 39713 6344 11 straight straight JJ 39713 6344 12 line line NN 39713 6344 13 . . . 39713 6345 1 Can Can MD 39713 6345 2 the the DT 39713 6345 3 straight straight JJ 39713 6345 4 line line NN 39713 6345 5 be be VB 39713 6345 6 defined define VBN 39713 6345 7 ? ? . 39713 6346 1 The the DT 39713 6346 2 well well RB 39713 6346 3 - - HYPH 39713 6346 4 known know VBN 39713 6346 5 definition definition NN 39713 6346 6 , , , 39713 6346 7 the the DT 39713 6346 8 shortest short JJS 39713 6346 9 path path NN 39713 6346 10 from from IN 39713 6346 11 one one CD 39713 6346 12 point point NN 39713 6346 13 to to IN 39713 6346 14 another another DT 39713 6346 15 , , , 39713 6346 16 scarcely scarcely RB 39713 6346 17 satisfies satisfy VBZ 39713 6346 18 me -PRON- PRP 39713 6346 19 . . . 39713 6347 1 I -PRON- PRP 39713 6347 2 should should MD 39713 6347 3 start start VB 39713 6347 4 simply simply RB 39713 6347 5 with with IN 39713 6347 6 the the DT 39713 6347 7 _ _ NNP 39713 6347 8 ruler ruler NN 39713 6347 9 _ _ NNP 39713 6347 10 and and CC 39713 6347 11 show show VBP 39713 6347 12 at at IN 39713 6347 13 first first RB 39713 6347 14 to to IN 39713 6347 15 the the DT 39713 6347 16 scholar scholar NN 39713 6347 17 how how WRB 39713 6347 18 one one PRP 39713 6347 19 may may MD 39713 6347 20 verify verify VB 39713 6347 21 a a DT 39713 6347 22 ruler ruler NN 39713 6347 23 by by IN 39713 6347 24 turning turn VBG 39713 6347 25 ; ; : 39713 6347 26 this this DT 39713 6347 27 verification verification NN 39713 6347 28 is be VBZ 39713 6347 29 the the DT 39713 6347 30 true true JJ 39713 6347 31 definition definition NN 39713 6347 32 of of IN 39713 6347 33 the the DT 39713 6347 34 straight straight JJ 39713 6347 35 line line NN 39713 6347 36 ; ; : 39713 6347 37 the the DT 39713 6347 38 straight straight JJ 39713 6347 39 line line NN 39713 6347 40 is be VBZ 39713 6347 41 an an DT 39713 6347 42 axis axis NN 39713 6347 43 of of IN 39713 6347 44 rotation rotation NN 39713 6347 45 . . . 39713 6348 1 Next next RB 39713 6348 2 he -PRON- PRP 39713 6348 3 should should MD 39713 6348 4 be be VB 39713 6348 5 shown show VBN 39713 6348 6 how how WRB 39713 6348 7 to to TO 39713 6348 8 verify verify VB 39713 6348 9 the the DT 39713 6348 10 ruler ruler NN 39713 6348 11 by by IN 39713 6348 12 sliding slide VBG 39713 6348 13 and and CC 39713 6348 14 he -PRON- PRP 39713 6348 15 would would MD 39713 6348 16 have have VB 39713 6348 17 one one CD 39713 6348 18 of of IN 39713 6348 19 the the DT 39713 6348 20 most most RBS 39713 6348 21 important important JJ 39713 6348 22 properties property NNS 39713 6348 23 of of IN 39713 6348 24 the the DT 39713 6348 25 straight straight JJ 39713 6348 26 line line NN 39713 6348 27 . . . 39713 6349 1 As as IN 39713 6349 2 to to IN 39713 6349 3 this this DT 39713 6349 4 other other JJ 39713 6349 5 property property NN 39713 6349 6 of of IN 39713 6349 7 being be VBG 39713 6349 8 the the DT 39713 6349 9 shortest short JJS 39713 6349 10 path path NN 39713 6349 11 from from IN 39713 6349 12 one one CD 39713 6349 13 point point NN 39713 6349 14 to to IN 39713 6349 15 another another DT 39713 6349 16 , , , 39713 6349 17 it -PRON- PRP 39713 6349 18 is be VBZ 39713 6349 19 a a DT 39713 6349 20 theorem theorem NN 39713 6349 21 which which WDT 39713 6349 22 can can MD 39713 6349 23 be be VB 39713 6349 24 demonstrated demonstrate VBN 39713 6349 25 apodictically apodictically RB 39713 6349 26 , , , 39713 6349 27 but but CC 39713 6349 28 the the DT 39713 6349 29 demonstration demonstration NN 39713 6349 30 is be VBZ 39713 6349 31 too too RB 39713 6349 32 delicate delicate JJ 39713 6349 33 to to TO 39713 6349 34 find find VB 39713 6349 35 a a DT 39713 6349 36 place place NN 39713 6349 37 in in IN 39713 6349 38 secondary secondary JJ 39713 6349 39 teaching teaching NN 39713 6349 40 . . . 39713 6350 1 It -PRON- PRP 39713 6350 2 will will MD 39713 6350 3 be be VB 39713 6350 4 worth worth JJ 39713 6350 5 more more JJR 39713 6350 6 to to TO 39713 6350 7 show show VB 39713 6350 8 that that IN 39713 6350 9 a a DT 39713 6350 10 ruler ruler NN 39713 6350 11 previously previously RB 39713 6350 12 verified verify VBD 39713 6350 13 fits fit NNS 39713 6350 14 on on IN 39713 6350 15 a a DT 39713 6350 16 stretched stretch VBN 39713 6350 17 thread thread NN 39713 6350 18 . . . 39713 6351 1 In in IN 39713 6351 2 presence presence NN 39713 6351 3 of of IN 39713 6351 4 difficulties difficulty NNS 39713 6351 5 like like IN 39713 6351 6 these these DT 39713 6351 7 one one NN 39713 6351 8 need nee MD 39713 6351 9 not not RB 39713 6351 10 dread dread VB 39713 6351 11 to to TO 39713 6351 12 multiply multiply VB 39713 6351 13 assumptions assumption NNS 39713 6351 14 , , , 39713 6351 15 justifying justify VBG 39713 6351 16 them -PRON- PRP 39713 6351 17 by by IN 39713 6351 18 rough rough JJ 39713 6351 19 experiments experiment NNS 39713 6351 20 . . . 39713 6352 1 It -PRON- PRP 39713 6352 2 is be VBZ 39713 6352 3 needful needful JJ 39713 6352 4 to to TO 39713 6352 5 grant grant VB 39713 6352 6 these these DT 39713 6352 7 assumptions assumption NNS 39713 6352 8 , , , 39713 6352 9 and and CC 39713 6352 10 if if IN 39713 6352 11 one one PRP 39713 6352 12 admits admit VBZ 39713 6352 13 a a DT 39713 6352 14 few few JJ 39713 6352 15 more more JJR 39713 6352 16 of of IN 39713 6352 17 them -PRON- PRP 39713 6352 18 than than IN 39713 6352 19 is be VBZ 39713 6352 20 strictly strictly RB 39713 6352 21 necessary necessary JJ 39713 6352 22 , , , 39713 6352 23 the the DT 39713 6352 24 evil evil NN 39713 6352 25 is be VBZ 39713 6352 26 not not RB 39713 6352 27 very very RB 39713 6352 28 great great JJ 39713 6352 29 ; ; : 39713 6352 30 the the DT 39713 6352 31 essential essential JJ 39713 6352 32 thing thing NN 39713 6352 33 is be VBZ 39713 6352 34 to to TO 39713 6352 35 learn learn VB 39713 6352 36 to to TO 39713 6352 37 reason reason VB 39713 6352 38 soundly soundly RB 39713 6352 39 on on IN 39713 6352 40 the the DT 39713 6352 41 assumptions assumption NNS 39713 6352 42 admitted admit VBN 39713 6352 43 . . . 39713 6353 1 Uncle Uncle NNP 39713 6353 2 Sarcey Sarcey NNP 39713 6353 3 , , , 39713 6353 4 who who WP 39713 6353 5 loved love VBD 39713 6353 6 to to TO 39713 6353 7 repeat repeat VB 39713 6353 8 , , , 39713 6353 9 often often RB 39713 6353 10 said say VBD 39713 6353 11 that that IN 39713 6353 12 at at IN 39713 6353 13 the the DT 39713 6353 14 theater theater NN 39713 6353 15 the the DT 39713 6353 16 spectator spectator NN 39713 6353 17 accepts accept VBZ 39713 6353 18 willingly willingly RB 39713 6353 19 all all PDT 39713 6353 20 the the DT 39713 6353 21 postulates postulate NNS 39713 6353 22 imposed impose VBN 39713 6353 23 upon upon IN 39713 6353 24 him -PRON- PRP 39713 6353 25 at at IN 39713 6353 26 the the DT 39713 6353 27 beginning beginning NN 39713 6353 28 , , , 39713 6353 29 but but CC 39713 6353 30 the the DT 39713 6353 31 curtain curtain NN 39713 6353 32 once once RB 39713 6353 33 raised raise VBD 39713 6353 34 , , , 39713 6353 35 he -PRON- PRP 39713 6353 36 becomes become VBZ 39713 6353 37 uncompromising uncompromise VBG 39713 6353 38 on on IN 39713 6353 39 the the DT 39713 6353 40 logic logic NN 39713 6353 41 . . . 39713 6354 1 Well well UH 39713 6354 2 , , , 39713 6354 3 it -PRON- PRP 39713 6354 4 is be VBZ 39713 6354 5 just just RB 39713 6354 6 the the DT 39713 6354 7 same same JJ 39713 6354 8 in in IN 39713 6354 9 mathematics mathematic NNS 39713 6354 10 . . . 39713 6355 1 For for IN 39713 6355 2 the the DT 39713 6355 3 circle circle NN 39713 6355 4 , , , 39713 6355 5 we -PRON- PRP 39713 6355 6 may may MD 39713 6355 7 start start VB 39713 6355 8 with with IN 39713 6355 9 the the DT 39713 6355 10 compasses compass NNS 39713 6355 11 ; ; : 39713 6355 12 the the DT 39713 6355 13 scholars scholar NNS 39713 6355 14 will will MD 39713 6355 15 recognize recognize VB 39713 6355 16 at at IN 39713 6355 17 the the DT 39713 6355 18 first first JJ 39713 6355 19 glance glance NN 39713 6355 20 the the DT 39713 6355 21 curve curve NN 39713 6355 22 traced trace VBN 39713 6355 23 ; ; : 39713 6355 24 then then RB 39713 6355 25 make make VB 39713 6355 26 them -PRON- PRP 39713 6355 27 observe observe VB 39713 6355 28 that that IN 39713 6355 29 the the DT 39713 6355 30 distance distance NN 39713 6355 31 of of IN 39713 6355 32 the the DT 39713 6355 33 two two CD 39713 6355 34 points point NNS 39713 6355 35 of of IN 39713 6355 36 the the DT 39713 6355 37 instrument instrument NN 39713 6355 38 remains remain VBZ 39713 6355 39 constant constant JJ 39713 6355 40 , , , 39713 6355 41 that that IN 39713 6355 42 one one CD 39713 6355 43 of of IN 39713 6355 44 these these DT 39713 6355 45 points point NNS 39713 6355 46 is be VBZ 39713 6355 47 fixed fix VBN 39713 6355 48 and and CC 39713 6355 49 the the DT 39713 6355 50 other other JJ 39713 6355 51 movable movable JJ 39713 6355 52 , , , 39713 6355 53 and and CC 39713 6355 54 so so RB 39713 6355 55 we -PRON- PRP 39713 6355 56 shall shall MD 39713 6355 57 be be VB 39713 6355 58 led lead VBN 39713 6355 59 naturally naturally RB 39713 6355 60 to to IN 39713 6355 61 the the DT 39713 6355 62 logical logical JJ 39713 6355 63 definition definition NN 39713 6355 64 . . . 39713 6356 1 The the DT 39713 6356 2 definition definition NN 39713 6356 3 of of IN 39713 6356 4 the the DT 39713 6356 5 plane plane NN 39713 6356 6 implies imply VBZ 39713 6356 7 an an DT 39713 6356 8 axiom axiom NN 39713 6356 9 and and CC 39713 6356 10 this this DT 39713 6356 11 need nee MD 39713 6356 12 not not RB 39713 6356 13 be be VB 39713 6356 14 hidden hide VBN 39713 6356 15 . . . 39713 6357 1 Take take VB 39713 6357 2 a a DT 39713 6357 3 drawing drawing NN 39713 6357 4 board board NN 39713 6357 5 and and CC 39713 6357 6 show show VBP 39713 6357 7 that that IN 39713 6357 8 a a DT 39713 6357 9 moving move VBG 39713 6357 10 ruler ruler NN 39713 6357 11 may may MD 39713 6357 12 be be VB 39713 6357 13 kept keep VBN 39713 6357 14 constantly constantly RB 39713 6357 15 in in IN 39713 6357 16 complete complete JJ 39713 6357 17 contact contact NN 39713 6357 18 with with IN 39713 6357 19 this this DT 39713 6357 20 plane plane NN 39713 6357 21 and and CC 39713 6357 22 yet yet RB 39713 6357 23 retain retain VB 39713 6357 24 three three CD 39713 6357 25 degrees degree NNS 39713 6357 26 of of IN 39713 6357 27 freedom freedom NN 39713 6357 28 . . . 39713 6358 1 Compare compare VB 39713 6358 2 with with IN 39713 6358 3 the the DT 39713 6358 4 cylinder cylinder NN 39713 6358 5 and and CC 39713 6358 6 the the DT 39713 6358 7 cone cone NN 39713 6358 8 , , , 39713 6358 9 surfaces surface VBZ 39713 6358 10 on on IN 39713 6358 11 which which WDT 39713 6358 12 an an DT 39713 6358 13 applied apply VBN 39713 6358 14 straight straight JJ 39713 6358 15 retains retain NNS 39713 6358 16 only only RB 39713 6358 17 two two CD 39713 6358 18 degrees degree NNS 39713 6358 19 of of IN 39713 6358 20 freedom freedom NN 39713 6358 21 ; ; , 39713 6358 22 next next RB 39713 6358 23 take take VB 39713 6358 24 three three CD 39713 6358 25 drawing drawing NN 39713 6358 26 boards board NNS 39713 6358 27 ; ; : 39713 6358 28 show show VBP 39713 6358 29 first first RB 39713 6358 30 that that IN 39713 6358 31 they -PRON- PRP 39713 6358 32 will will MD 39713 6358 33 glide glide VB 39713 6358 34 while while IN 39713 6358 35 remaining remain VBG 39713 6358 36 applied apply VBN 39713 6358 37 to to IN 39713 6358 38 one one CD 39713 6358 39 another another DT 39713 6358 40 and and CC 39713 6358 41 this this DT 39713 6358 42 with with IN 39713 6358 43 three three CD 39713 6358 44 degrees degree NNS 39713 6358 45 of of IN 39713 6358 46 freedom freedom NN 39713 6358 47 ; ; , 39713 6358 48 and and CC 39713 6358 49 finally finally RB 39713 6358 50 to to TO 39713 6358 51 distinguish distinguish VB 39713 6358 52 the the DT 39713 6358 53 plane plane NN 39713 6358 54 from from IN 39713 6358 55 the the DT 39713 6358 56 sphere sphere NN 39713 6358 57 , , , 39713 6358 58 show show VBP 39713 6358 59 that that IN 39713 6358 60 two two CD 39713 6358 61 of of IN 39713 6358 62 these these DT 39713 6358 63 boards board NNS 39713 6358 64 which which WDT 39713 6358 65 fit fit VBP 39713 6358 66 a a DT 39713 6358 67 third third NN 39713 6358 68 will will MD 39713 6358 69 fit fit VB 39713 6358 70 each each DT 39713 6358 71 other other JJ 39713 6358 72 . . . 39713 6359 1 Perhaps perhaps RB 39713 6359 2 you -PRON- PRP 39713 6359 3 are be VBP 39713 6359 4 surprised surprised JJ 39713 6359 5 at at IN 39713 6359 6 this this DT 39713 6359 7 incessant incessant JJ 39713 6359 8 employment employment NN 39713 6359 9 of of IN 39713 6359 10 moving move VBG 39713 6359 11 things thing NNS 39713 6359 12 ; ; : 39713 6359 13 this this DT 39713 6359 14 is be VBZ 39713 6359 15 not not RB 39713 6359 16 a a DT 39713 6359 17 rough rough JJ 39713 6359 18 artifice artifice NN 39713 6359 19 ; ; : 39713 6359 20 it -PRON- PRP 39713 6359 21 is be VBZ 39713 6359 22 much much RB 39713 6359 23 more more RBR 39713 6359 24 philosophic philosophic JJ 39713 6359 25 than than IN 39713 6359 26 one one PRP 39713 6359 27 would would MD 39713 6359 28 at at IN 39713 6359 29 first first RB 39713 6359 30 think think VB 39713 6359 31 . . . 39713 6360 1 What what WP 39713 6360 2 is be VBZ 39713 6360 3 geometry geometry NN 39713 6360 4 for for IN 39713 6360 5 the the DT 39713 6360 6 philosopher philosopher NN 39713 6360 7 ? ? . 39713 6361 1 It -PRON- PRP 39713 6361 2 is be VBZ 39713 6361 3 the the DT 39713 6361 4 study study NN 39713 6361 5 of of IN 39713 6361 6 a a DT 39713 6361 7 group group NN 39713 6361 8 . . . 39713 6362 1 And and CC 39713 6362 2 what what WDT 39713 6362 3 group group NN 39713 6362 4 ? ? . 39713 6363 1 That that DT 39713 6363 2 of of IN 39713 6363 3 the the DT 39713 6363 4 motions motion NNS 39713 6363 5 of of IN 39713 6363 6 solid solid JJ 39713 6363 7 bodies body NNS 39713 6363 8 . . . 39713 6364 1 How how WRB 39713 6364 2 define define VB 39713 6364 3 this this DT 39713 6364 4 group group NN 39713 6364 5 then then RB 39713 6364 6 without without IN 39713 6364 7 moving move VBG 39713 6364 8 some some DT 39713 6364 9 solids solid NNS 39713 6364 10 ? ? . 39713 6365 1 Should Should MD 39713 6365 2 we -PRON- PRP 39713 6365 3 retain retain VB 39713 6365 4 the the DT 39713 6365 5 classic classic JJ 39713 6365 6 definition definition NN 39713 6365 7 of of IN 39713 6365 8 parallels parallel NNS 39713 6365 9 and and CC 39713 6365 10 say say VBP 39713 6365 11 parallels parallel NNS 39713 6365 12 are be VBP 39713 6365 13 two two CD 39713 6365 14 coplanar coplanar JJ 39713 6365 15 straights straight NNS 39713 6365 16 which which WDT 39713 6365 17 do do VBP 39713 6365 18 not not RB 39713 6365 19 meet meet VB 39713 6365 20 , , , 39713 6365 21 however however RB 39713 6365 22 far far RB 39713 6365 23 they -PRON- PRP 39713 6365 24 be be VBP 39713 6365 25 prolonged prolong VBN 39713 6365 26 ? ? . 39713 6366 1 No no UH 39713 6366 2 , , , 39713 6366 3 since since IN 39713 6366 4 this this DT 39713 6366 5 definition definition NN 39713 6366 6 is be VBZ 39713 6366 7 negative negative JJ 39713 6366 8 , , , 39713 6366 9 since since IN 39713 6366 10 it -PRON- PRP 39713 6366 11 is be VBZ 39713 6366 12 unverifiable unverifiable JJ 39713 6366 13 by by IN 39713 6366 14 experiment experiment NN 39713 6366 15 , , , 39713 6366 16 and and CC 39713 6366 17 consequently consequently RB 39713 6366 18 can can MD 39713 6366 19 not not RB 39713 6366 20 be be VB 39713 6366 21 regarded regard VBN 39713 6366 22 as as IN 39713 6366 23 an an DT 39713 6366 24 immediate immediate JJ 39713 6366 25 datum datum NN 39713 6366 26 of of IN 39713 6366 27 intuition intuition NN 39713 6366 28 . . . 39713 6367 1 No no UH 39713 6367 2 , , , 39713 6367 3 above above IN 39713 6367 4 all all DT 39713 6367 5 because because IN 39713 6367 6 it -PRON- PRP 39713 6367 7 is be VBZ 39713 6367 8 wholly wholly RB 39713 6367 9 strange strange JJ 39713 6367 10 to to IN 39713 6367 11 the the DT 39713 6367 12 notion notion NN 39713 6367 13 of of IN 39713 6367 14 group group NN 39713 6367 15 , , , 39713 6367 16 to to IN 39713 6367 17 the the DT 39713 6367 18 consideration consideration NN 39713 6367 19 of of IN 39713 6367 20 the the DT 39713 6367 21 motion motion NN 39713 6367 22 of of IN 39713 6367 23 solid solid JJ 39713 6367 24 bodies body NNS 39713 6367 25 which which WDT 39713 6367 26 is be VBZ 39713 6367 27 , , , 39713 6367 28 as as IN 39713 6367 29 I -PRON- PRP 39713 6367 30 have have VBP 39713 6367 31 said say VBD 39713 6367 32 , , , 39713 6367 33 the the DT 39713 6367 34 true true JJ 39713 6367 35 source source NN 39713 6367 36 of of IN 39713 6367 37 geometry geometry NN 39713 6367 38 . . . 39713 6368 1 Would Would MD 39713 6368 2 it -PRON- PRP 39713 6368 3 not not RB 39713 6368 4 be be VB 39713 6368 5 better well JJR 39713 6368 6 to to TO 39713 6368 7 define define VB 39713 6368 8 first first RB 39713 6368 9 the the DT 39713 6368 10 rectilinear rectilinear JJ 39713 6368 11 translation translation NN 39713 6368 12 of of IN 39713 6368 13 an an DT 39713 6368 14 invariable invariable JJ 39713 6368 15 figure figure NN 39713 6368 16 , , , 39713 6368 17 as as IN 39713 6368 18 a a DT 39713 6368 19 motion motion NN 39713 6368 20 wherein wherein WRB 39713 6368 21 all all PDT 39713 6368 22 the the DT 39713 6368 23 points point NNS 39713 6368 24 of of IN 39713 6368 25 this this DT 39713 6368 26 figure figure NN 39713 6368 27 have have VBP 39713 6368 28 rectilinear rectilinear JJ 39713 6368 29 trajectories trajectory NNS 39713 6368 30 ; ; : 39713 6368 31 to to TO 39713 6368 32 show show VB 39713 6368 33 that that IN 39713 6368 34 such such PDT 39713 6368 35 a a DT 39713 6368 36 translation translation NN 39713 6368 37 is be VBZ 39713 6368 38 possible possible JJ 39713 6368 39 by by IN 39713 6368 40 making make VBG 39713 6368 41 a a DT 39713 6368 42 square square JJ 39713 6368 43 glide glide NN 39713 6368 44 on on IN 39713 6368 45 a a DT 39713 6368 46 ruler ruler NN 39713 6368 47 ? ? . 39713 6369 1 From from IN 39713 6369 2 this this DT 39713 6369 3 experimental experimental JJ 39713 6369 4 ascertainment ascertainment NN 39713 6369 5 , , , 39713 6369 6 set set VBN 39713 6369 7 up up RP 39713 6369 8 as as IN 39713 6369 9 an an DT 39713 6369 10 assumption assumption NN 39713 6369 11 , , , 39713 6369 12 it -PRON- PRP 39713 6369 13 would would MD 39713 6369 14 be be VB 39713 6369 15 easy easy JJ 39713 6369 16 to to TO 39713 6369 17 derive derive VB 39713 6369 18 the the DT 39713 6369 19 notion notion NN 39713 6369 20 of of IN 39713 6369 21 parallel parallel NN 39713 6369 22 and and CC 39713 6369 23 Euclid Euclid NNP 39713 6369 24 's 's POS 39713 6369 25 postulate postulate NN 39713 6369 26 itself -PRON- PRP 39713 6369 27 . . . 39713 6370 1 MECHANICS mechanic NNS 39713 6370 2 I -PRON- PRP 39713 6370 3 need need VBP 39713 6370 4 not not RB 39713 6370 5 return return VB 39713 6370 6 to to IN 39713 6370 7 the the DT 39713 6370 8 definition definition NN 39713 6370 9 of of IN 39713 6370 10 velocity velocity NN 39713 6370 11 , , , 39713 6370 12 or or CC 39713 6370 13 acceleration acceleration NN 39713 6370 14 , , , 39713 6370 15 or or CC 39713 6370 16 other other JJ 39713 6370 17 kinematic kinematic JJ 39713 6370 18 notions notion NNS 39713 6370 19 ; ; : 39713 6370 20 they -PRON- PRP 39713 6370 21 may may MD 39713 6370 22 be be VB 39713 6370 23 advantageously advantageously RB 39713 6370 24 connected connect VBN 39713 6370 25 with with IN 39713 6370 26 that that DT 39713 6370 27 of of IN 39713 6370 28 the the DT 39713 6370 29 derivative derivative NN 39713 6370 30 . . . 39713 6371 1 I -PRON- PRP 39713 6371 2 shall shall MD 39713 6371 3 insist insist VB 39713 6371 4 , , , 39713 6371 5 on on IN 39713 6371 6 the the DT 39713 6371 7 other other JJ 39713 6371 8 hand hand NN 39713 6371 9 , , , 39713 6371 10 upon upon IN 39713 6371 11 the the DT 39713 6371 12 dynamic dynamic JJ 39713 6371 13 notions notion NNS 39713 6371 14 of of IN 39713 6371 15 force force NN 39713 6371 16 and and CC 39713 6371 17 mass mass NN 39713 6371 18 . . . 39713 6372 1 I -PRON- PRP 39713 6372 2 am be VBP 39713 6372 3 struck strike VBN 39713 6372 4 by by IN 39713 6372 5 one one CD 39713 6372 6 thing thing NN 39713 6372 7 : : : 39713 6372 8 how how WRB 39713 6372 9 very very RB 39713 6372 10 far far RB 39713 6372 11 the the DT 39713 6372 12 young young JJ 39713 6372 13 people people NNS 39713 6372 14 who who WP 39713 6372 15 have have VBP 39713 6372 16 received receive VBN 39713 6372 17 a a DT 39713 6372 18 high high JJ 39713 6372 19 - - HYPH 39713 6372 20 school school NN 39713 6372 21 education education NN 39713 6372 22 are be VBP 39713 6372 23 from from IN 39713 6372 24 applying apply VBG 39713 6372 25 to to IN 39713 6372 26 the the DT 39713 6372 27 real real JJ 39713 6372 28 world world NN 39713 6372 29 the the DT 39713 6372 30 mechanical mechanical JJ 39713 6372 31 laws law NNS 39713 6372 32 they -PRON- PRP 39713 6372 33 have have VBP 39713 6372 34 been be VBN 39713 6372 35 taught teach VBN 39713 6372 36 . . . 39713 6373 1 It -PRON- PRP 39713 6373 2 is be VBZ 39713 6373 3 not not RB 39713 6373 4 only only RB 39713 6373 5 that that IN 39713 6373 6 they -PRON- PRP 39713 6373 7 are be VBP 39713 6373 8 incapable incapable JJ 39713 6373 9 of of IN 39713 6373 10 it -PRON- PRP 39713 6373 11 ; ; : 39713 6373 12 they -PRON- PRP 39713 6373 13 do do VBP 39713 6373 14 not not RB 39713 6373 15 even even RB 39713 6373 16 think think VB 39713 6373 17 of of IN 39713 6373 18 it -PRON- PRP 39713 6373 19 . . . 39713 6374 1 For for IN 39713 6374 2 them -PRON- PRP 39713 6374 3 the the DT 39713 6374 4 world world NN 39713 6374 5 of of IN 39713 6374 6 science science NN 39713 6374 7 and and CC 39713 6374 8 the the DT 39713 6374 9 world world NN 39713 6374 10 of of IN 39713 6374 11 reality reality NN 39713 6374 12 are be VBP 39713 6374 13 separated separate VBN 39713 6374 14 by by IN 39713 6374 15 an an DT 39713 6374 16 impervious impervious JJ 39713 6374 17 partition partition NN 39713 6374 18 wall wall NN 39713 6374 19 . . . 39713 6375 1 If if IN 39713 6375 2 we -PRON- PRP 39713 6375 3 try try VBP 39713 6375 4 to to TO 39713 6375 5 analyze analyze VB 39713 6375 6 the the DT 39713 6375 7 state state NN 39713 6375 8 of of IN 39713 6375 9 mind mind NN 39713 6375 10 of of IN 39713 6375 11 our -PRON- PRP$ 39713 6375 12 scholars scholar NNS 39713 6375 13 , , , 39713 6375 14 this this DT 39713 6375 15 will will MD 39713 6375 16 astonish astonish VB 39713 6375 17 us -PRON- PRP 39713 6375 18 less less RBR 39713 6375 19 . . . 39713 6376 1 What what WP 39713 6376 2 is be VBZ 39713 6376 3 for for IN 39713 6376 4 them -PRON- PRP 39713 6376 5 the the DT 39713 6376 6 real real JJ 39713 6376 7 definition definition NN 39713 6376 8 of of IN 39713 6376 9 force force NN 39713 6376 10 ? ? . 39713 6377 1 Not not RB 39713 6377 2 that that IN 39713 6377 3 which which WDT 39713 6377 4 they -PRON- PRP 39713 6377 5 recite recite VBP 39713 6377 6 , , , 39713 6377 7 but but CC 39713 6377 8 that that IN 39713 6377 9 which which WDT 39713 6377 10 , , , 39713 6377 11 crouching crouch VBG 39713 6377 12 in in IN 39713 6377 13 a a DT 39713 6377 14 nook nook NN 39713 6377 15 of of IN 39713 6377 16 their -PRON- PRP$ 39713 6377 17 mind mind NN 39713 6377 18 , , , 39713 6377 19 from from IN 39713 6377 20 there there EX 39713 6377 21 directs direct VBZ 39713 6377 22 it -PRON- PRP 39713 6377 23 wholly wholly RB 39713 6377 24 . . . 39713 6378 1 Here here RB 39713 6378 2 is be VBZ 39713 6378 3 the the DT 39713 6378 4 definition definition NN 39713 6378 5 : : : 39713 6378 6 forces force NNS 39713 6378 7 are be VBP 39713 6378 8 arrows arrow NNS 39713 6378 9 with with IN 39713 6378 10 which which WDT 39713 6378 11 one one PRP 39713 6378 12 makes make VBZ 39713 6378 13 parallelograms parallelogram NNS 39713 6378 14 . . . 39713 6379 1 These these DT 39713 6379 2 arrows arrow NNS 39713 6379 3 are be VBP 39713 6379 4 imaginary imaginary JJ 39713 6379 5 things thing NNS 39713 6379 6 which which WDT 39713 6379 7 have have VBP 39713 6379 8 nothing nothing NN 39713 6379 9 to to TO 39713 6379 10 do do VB 39713 6379 11 with with IN 39713 6379 12 anything anything NN 39713 6379 13 existing exist VBG 39713 6379 14 in in IN 39713 6379 15 nature nature NN 39713 6379 16 . . . 39713 6380 1 This this DT 39713 6380 2 would would MD 39713 6380 3 not not RB 39713 6380 4 happen happen VB 39713 6380 5 if if IN 39713 6380 6 they -PRON- PRP 39713 6380 7 had have VBD 39713 6380 8 been be VBN 39713 6380 9 shown show VBN 39713 6380 10 forces force NNS 39713 6380 11 in in IN 39713 6380 12 reality reality NN 39713 6380 13 before before IN 39713 6380 14 representing represent VBG 39713 6380 15 them -PRON- PRP 39713 6380 16 by by IN 39713 6380 17 arrows arrow NNS 39713 6380 18 . . . 39713 6381 1 How how WRB 39713 6381 2 shall shall MD 39713 6381 3 we -PRON- PRP 39713 6381 4 define define VB 39713 6381 5 force force NN 39713 6381 6 ? ? . 39713 6382 1 I -PRON- PRP 39713 6382 2 think think VBP 39713 6382 3 I -PRON- PRP 39713 6382 4 have have VBP 39713 6382 5 elsewhere elsewhere RB 39713 6382 6 sufficiently sufficiently RB 39713 6382 7 shown show VBN 39713 6382 8 there there EX 39713 6382 9 is be VBZ 39713 6382 10 no no DT 39713 6382 11 good good JJ 39713 6382 12 logical logical JJ 39713 6382 13 definition definition NN 39713 6382 14 . . . 39713 6383 1 There there EX 39713 6383 2 is be VBZ 39713 6383 3 the the DT 39713 6383 4 anthropomorphic anthropomorphic JJ 39713 6383 5 definition definition NN 39713 6383 6 , , , 39713 6383 7 the the DT 39713 6383 8 sensation sensation NN 39713 6383 9 of of IN 39713 6383 10 muscular muscular JJ 39713 6383 11 effort effort NN 39713 6383 12 ; ; : 39713 6383 13 this this DT 39713 6383 14 is be VBZ 39713 6383 15 really really RB 39713 6383 16 too too RB 39713 6383 17 rough rough JJ 39713 6383 18 and and CC 39713 6383 19 nothing nothing NN 39713 6383 20 useful useful JJ 39713 6383 21 can can MD 39713 6383 22 be be VB 39713 6383 23 drawn draw VBN 39713 6383 24 from from IN 39713 6383 25 it -PRON- PRP 39713 6383 26 . . . 39713 6384 1 Here here RB 39713 6384 2 is be VBZ 39713 6384 3 how how WRB 39713 6384 4 we -PRON- PRP 39713 6384 5 should should MD 39713 6384 6 go go VB 39713 6384 7 : : : 39713 6384 8 first first RB 39713 6384 9 , , , 39713 6384 10 to to TO 39713 6384 11 make make VB 39713 6384 12 known known JJ 39713 6384 13 the the DT 39713 6384 14 genus genus NNP 39713 6384 15 force force NN 39713 6384 16 , , , 39713 6384 17 we -PRON- PRP 39713 6384 18 must must MD 39713 6384 19 show show VB 39713 6384 20 one one CD 39713 6384 21 after after IN 39713 6384 22 the the DT 39713 6384 23 other other JJ 39713 6384 24 all all PDT 39713 6384 25 the the DT 39713 6384 26 species specie NNS 39713 6384 27 of of IN 39713 6384 28 this this DT 39713 6384 29 genus genus NN 39713 6384 30 ; ; : 39713 6384 31 they -PRON- PRP 39713 6384 32 are be VBP 39713 6384 33 very very RB 39713 6384 34 numerous numerous JJ 39713 6384 35 and and CC 39713 6384 36 very very RB 39713 6384 37 different different JJ 39713 6384 38 ; ; : 39713 6384 39 there there EX 39713 6384 40 is be VBZ 39713 6384 41 the the DT 39713 6384 42 pressure pressure NN 39713 6384 43 of of IN 39713 6384 44 fluids fluid NNS 39713 6384 45 on on IN 39713 6384 46 the the DT 39713 6384 47 insides inside NNS 39713 6384 48 of of IN 39713 6384 49 the the DT 39713 6384 50 vases vase NNS 39713 6384 51 wherein wherein WRB 39713 6384 52 they -PRON- PRP 39713 6384 53 are be VBP 39713 6384 54 contained contain VBN 39713 6384 55 ; ; : 39713 6384 56 the the DT 39713 6384 57 tension tension NN 39713 6384 58 of of IN 39713 6384 59 threads thread NNS 39713 6384 60 ; ; : 39713 6384 61 the the DT 39713 6384 62 elasticity elasticity NN 39713 6384 63 of of IN 39713 6384 64 a a DT 39713 6384 65 spring spring NN 39713 6384 66 ; ; : 39713 6384 67 the the DT 39713 6384 68 gravity gravity NN 39713 6384 69 working work VBG 39713 6384 70 on on IN 39713 6384 71 all all PDT 39713 6384 72 the the DT 39713 6384 73 molecules molecule NNS 39713 6384 74 of of IN 39713 6384 75 a a DT 39713 6384 76 body body NN 39713 6384 77 ; ; : 39713 6384 78 friction friction NN 39713 6384 79 ; ; : 39713 6384 80 the the DT 39713 6384 81 normal normal JJ 39713 6384 82 mutual mutual JJ 39713 6384 83 action action NN 39713 6384 84 and and CC 39713 6384 85 reaction reaction NN 39713 6384 86 of of IN 39713 6384 87 two two CD 39713 6384 88 solids solid NNS 39713 6384 89 in in IN 39713 6384 90 contact contact NN 39713 6384 91 . . . 39713 6385 1 This this DT 39713 6385 2 is be VBZ 39713 6385 3 only only RB 39713 6385 4 a a DT 39713 6385 5 qualitative qualitative JJ 39713 6385 6 definition definition NN 39713 6385 7 ; ; : 39713 6385 8 it -PRON- PRP 39713 6385 9 is be VBZ 39713 6385 10 necessary necessary JJ 39713 6385 11 to to TO 39713 6385 12 learn learn VB 39713 6385 13 to to TO 39713 6385 14 measure measure VB 39713 6385 15 force force NN 39713 6385 16 . . . 39713 6386 1 For for IN 39713 6386 2 that that DT 39713 6386 3 begin begin VB 39713 6386 4 by by IN 39713 6386 5 showing show VBG 39713 6386 6 that that IN 39713 6386 7 one one CD 39713 6386 8 force force NN 39713 6386 9 may may MD 39713 6386 10 be be VB 39713 6386 11 replaced replace VBN 39713 6386 12 by by IN 39713 6386 13 another another DT 39713 6386 14 without without IN 39713 6386 15 destroying destroy VBG 39713 6386 16 equilibrium equilibrium NN 39713 6386 17 ; ; : 39713 6386 18 we -PRON- PRP 39713 6386 19 may may MD 39713 6386 20 find find VB 39713 6386 21 the the DT 39713 6386 22 first first JJ 39713 6386 23 example example NN 39713 6386 24 of of IN 39713 6386 25 this this DT 39713 6386 26 substitution substitution NN 39713 6386 27 in in IN 39713 6386 28 the the DT 39713 6386 29 balance balance NN 39713 6386 30 and and CC 39713 6386 31 Borda Borda NNP 39713 6386 32 's 's POS 39713 6386 33 double double JJ 39713 6386 34 weighing weighing NN 39713 6386 35 . . . 39713 6387 1 Then then RB 39713 6387 2 show show VB 39713 6387 3 that that IN 39713 6387 4 a a DT 39713 6387 5 weight weight NN 39713 6387 6 may may MD 39713 6387 7 be be VB 39713 6387 8 replaced replace VBN 39713 6387 9 , , , 39713 6387 10 not not RB 39713 6387 11 only only RB 39713 6387 12 by by IN 39713 6387 13 another another DT 39713 6387 14 weight weight NN 39713 6387 15 , , , 39713 6387 16 but but CC 39713 6387 17 by by IN 39713 6387 18 force force NN 39713 6387 19 of of IN 39713 6387 20 a a DT 39713 6387 21 different different JJ 39713 6387 22 nature nature NN 39713 6387 23 ; ; : 39713 6387 24 for for IN 39713 6387 25 instance instance NN 39713 6387 26 , , , 39713 6387 27 Prony Prony NNP 39713 6387 28 's 's POS 39713 6387 29 brake brake NN 39713 6387 30 permits permit VBZ 39713 6387 31 replacing replace VBG 39713 6387 32 weight weight NN 39713 6387 33 by by IN 39713 6387 34 friction friction NN 39713 6387 35 . . . 39713 6388 1 From from IN 39713 6388 2 all all PDT 39713 6388 3 this this DT 39713 6388 4 arises arise VBZ 39713 6388 5 the the DT 39713 6388 6 notion notion NN 39713 6388 7 of of IN 39713 6388 8 the the DT 39713 6388 9 equivalence equivalence NN 39713 6388 10 of of IN 39713 6388 11 two two CD 39713 6388 12 forces force NNS 39713 6388 13 . . . 39713 6389 1 The the DT 39713 6389 2 direction direction NN 39713 6389 3 of of IN 39713 6389 4 a a DT 39713 6389 5 force force NN 39713 6389 6 must must MD 39713 6389 7 be be VB 39713 6389 8 defined define VBN 39713 6389 9 . . . 39713 6390 1 If if IN 39713 6390 2 a a DT 39713 6390 3 force force NN 39713 6390 4 _ _ NNP 39713 6390 5 F F NNP 39713 6390 6 _ _ NNP 39713 6390 7 is be VBZ 39713 6390 8 equivalent equivalent JJ 39713 6390 9 to to IN 39713 6390 10 another another DT 39713 6390 11 force force NN 39713 6390 12 _ _ NNP 39713 6390 13 F F NNP 39713 6390 14 ' ' '' 39713 6390 15 _ _ NNP 39713 6390 16 applied apply VBD 39713 6390 17 to to IN 39713 6390 18 the the DT 39713 6390 19 body body NN 39713 6390 20 considered consider VBN 39713 6390 21 by by IN 39713 6390 22 means mean NNS 39713 6390 23 of of IN 39713 6390 24 a a DT 39713 6390 25 stretched stretch VBN 39713 6390 26 string string NN 39713 6390 27 , , , 39713 6390 28 so so IN 39713 6390 29 that that IN 39713 6390 30 _ _ NNP 39713 6390 31 F F NNP 39713 6390 32 _ _ NNP 39713 6390 33 may may MD 39713 6390 34 be be VB 39713 6390 35 replaced replace VBN 39713 6390 36 by by IN 39713 6390 37 _ _ NNP 39713 6390 38 F F NNP 39713 6390 39 ' ' '' 39713 6390 40 _ _ NNP 39713 6390 41 without without IN 39713 6390 42 affecting affect VBG 39713 6390 43 the the DT 39713 6390 44 equilibrium equilibrium NN 39713 6390 45 , , , 39713 6390 46 then then RB 39713 6390 47 the the DT 39713 6390 48 point point NN 39713 6390 49 of of IN 39713 6390 50 attachment attachment NN 39713 6390 51 of of IN 39713 6390 52 the the DT 39713 6390 53 string string NN 39713 6390 54 will will MD 39713 6390 55 be be VB 39713 6390 56 by by IN 39713 6390 57 definition definition NN 39713 6390 58 the the DT 39713 6390 59 point point NN 39713 6390 60 of of IN 39713 6390 61 application application NN 39713 6390 62 of of IN 39713 6390 63 the the DT 39713 6390 64 force force NN 39713 6390 65 _ _ NNP 39713 6390 66 F F NNP 39713 6390 67 ' ' '' 39713 6390 68 _ _ NNP 39713 6390 69 , , , 39713 6390 70 and and CC 39713 6390 71 that that DT 39713 6390 72 of of IN 39713 6390 73 the the DT 39713 6390 74 equivalent equivalent JJ 39713 6390 75 force force NN 39713 6390 76 _ _ NNP 39713 6390 77 F F NNP 39713 6390 78 _ _ NNP 39713 6390 79 ; ; : 39713 6390 80 the the DT 39713 6390 81 direction direction NN 39713 6390 82 of of IN 39713 6390 83 the the DT 39713 6390 84 string string NN 39713 6390 85 will will MD 39713 6390 86 be be VB 39713 6390 87 the the DT 39713 6390 88 direction direction NN 39713 6390 89 of of IN 39713 6390 90 the the DT 39713 6390 91 force force NN 39713 6390 92 _ _ NNP 39713 6390 93 F F NNP 39713 6390 94 ' ' `` 39713 6390 95 _ _ NNP 39713 6390 96 and and CC 39713 6390 97 that that DT 39713 6390 98 of of IN 39713 6390 99 the the DT 39713 6390 100 equivalent equivalent JJ 39713 6390 101 force force NN 39713 6390 102 _ _ NNP 39713 6390 103 F F NNP 39713 6390 104 _ _ NNP 39713 6390 105 . . . 39713 6391 1 From from IN 39713 6391 2 that that DT 39713 6391 3 , , , 39713 6391 4 pass pass VB 39713 6391 5 to to IN 39713 6391 6 the the DT 39713 6391 7 comparison comparison NN 39713 6391 8 of of IN 39713 6391 9 the the DT 39713 6391 10 magnitude magnitude NN 39713 6391 11 of of IN 39713 6391 12 forces force NNS 39713 6391 13 . . . 39713 6392 1 If if IN 39713 6392 2 a a DT 39713 6392 3 force force NN 39713 6392 4 can can MD 39713 6392 5 replace replace VB 39713 6392 6 two two CD 39713 6392 7 others other NNS 39713 6392 8 with with IN 39713 6392 9 the the DT 39713 6392 10 same same JJ 39713 6392 11 direction direction NN 39713 6392 12 , , , 39713 6392 13 it -PRON- PRP 39713 6392 14 equals equal VBZ 39713 6392 15 their -PRON- PRP$ 39713 6392 16 sum sum NN 39713 6392 17 ; ; : 39713 6392 18 show show VB 39713 6392 19 for for IN 39713 6392 20 example example NN 39713 6392 21 that that IN 39713 6392 22 a a DT 39713 6392 23 weight weight NN 39713 6392 24 of of IN 39713 6392 25 20 20 CD 39713 6392 26 grams gram NNS 39713 6392 27 may may MD 39713 6392 28 replace replace VB 39713 6392 29 two two CD 39713 6392 30 10-gram 10-gram CD 39713 6392 31 weights weight NNS 39713 6392 32 . . . 39713 6393 1 Is be VBZ 39713 6393 2 this this DT 39713 6393 3 enough enough JJ 39713 6393 4 ? ? . 39713 6394 1 Not not RB 39713 6394 2 yet yet RB 39713 6394 3 . . . 39713 6395 1 We -PRON- PRP 39713 6395 2 now now RB 39713 6395 3 know know VBP 39713 6395 4 how how WRB 39713 6395 5 to to TO 39713 6395 6 compare compare VB 39713 6395 7 the the DT 39713 6395 8 intensity intensity NN 39713 6395 9 of of IN 39713 6395 10 two two CD 39713 6395 11 forces force NNS 39713 6395 12 which which WDT 39713 6395 13 have have VBP 39713 6395 14 the the DT 39713 6395 15 same same JJ 39713 6395 16 direction direction NN 39713 6395 17 and and CC 39713 6395 18 same same JJ 39713 6395 19 point point NN 39713 6395 20 of of IN 39713 6395 21 application application NN 39713 6395 22 ; ; : 39713 6395 23 we -PRON- PRP 39713 6395 24 must must MD 39713 6395 25 learn learn VB 39713 6395 26 to to TO 39713 6395 27 do do VB 39713 6395 28 it -PRON- PRP 39713 6395 29 when when WRB 39713 6395 30 the the DT 39713 6395 31 directions direction NNS 39713 6395 32 are be VBP 39713 6395 33 different different JJ 39713 6395 34 . . . 39713 6396 1 For for IN 39713 6396 2 that that DT 39713 6396 3 , , , 39713 6396 4 imagine imagine VB 39713 6396 5 a a DT 39713 6396 6 string string NN 39713 6396 7 stretched stretch VBN 39713 6396 8 by by IN 39713 6396 9 a a DT 39713 6396 10 weight weight NN 39713 6396 11 and and CC 39713 6396 12 passing pass VBG 39713 6396 13 over over RP 39713 6396 14 a a DT 39713 6396 15 pulley pulley NN 39713 6396 16 ; ; : 39713 6396 17 we -PRON- PRP 39713 6396 18 shall shall MD 39713 6396 19 say say VB 39713 6396 20 that that IN 39713 6396 21 the the DT 39713 6396 22 tensor tensor NN 39713 6396 23 of of IN 39713 6396 24 the the DT 39713 6396 25 two two CD 39713 6396 26 legs leg NNS 39713 6396 27 of of IN 39713 6396 28 the the DT 39713 6396 29 string string NN 39713 6396 30 is be VBZ 39713 6396 31 the the DT 39713 6396 32 same same JJ 39713 6396 33 and and CC 39713 6396 34 equal equal JJ 39713 6396 35 to to IN 39713 6396 36 the the DT 39713 6396 37 tension tension NN 39713 6396 38 weight weight NN 39713 6396 39 . . . 39713 6397 1 This this DT 39713 6397 2 definition definition NN 39713 6397 3 of of IN 39713 6397 4 ours ours JJ 39713 6397 5 enables enable VBZ 39713 6397 6 us -PRON- PRP 39713 6397 7 to to TO 39713 6397 8 compare compare VB 39713 6397 9 the the DT 39713 6397 10 tensions tension NNS 39713 6397 11 of of IN 39713 6397 12 the the DT 39713 6397 13 two two CD 39713 6397 14 pieces piece NNS 39713 6397 15 of of IN 39713 6397 16 our -PRON- PRP$ 39713 6397 17 string string NN 39713 6397 18 , , , 39713 6397 19 and and CC 39713 6397 20 , , , 39713 6397 21 using use VBG 39713 6397 22 the the DT 39713 6397 23 preceding precede VBG 39713 6397 24 definitions definition NNS 39713 6397 25 , , , 39713 6397 26 to to TO 39713 6397 27 compare compare VB 39713 6397 28 any any DT 39713 6397 29 two two CD 39713 6397 30 forces force NNS 39713 6397 31 having have VBG 39713 6397 32 the the DT 39713 6397 33 same same JJ 39713 6397 34 direction direction NN 39713 6397 35 as as IN 39713 6397 36 these these DT 39713 6397 37 two two CD 39713 6397 38 pieces piece NNS 39713 6397 39 . . . 39713 6398 1 It -PRON- PRP 39713 6398 2 should should MD 39713 6398 3 be be VB 39713 6398 4 justified justify VBN 39713 6398 5 by by IN 39713 6398 6 showing show VBG 39713 6398 7 that that IN 39713 6398 8 the the DT 39713 6398 9 tension tension NN 39713 6398 10 of of IN 39713 6398 11 the the DT 39713 6398 12 last last JJ 39713 6398 13 piece piece NN 39713 6398 14 of of IN 39713 6398 15 the the DT 39713 6398 16 string string NN 39713 6398 17 remains remain VBZ 39713 6398 18 the the DT 39713 6398 19 same same JJ 39713 6398 20 for for IN 39713 6398 21 the the DT 39713 6398 22 same same JJ 39713 6398 23 tensor tensor NN 39713 6398 24 weight weight NN 39713 6398 25 , , , 39713 6398 26 whatever whatever WDT 39713 6398 27 be be VBP 39713 6398 28 the the DT 39713 6398 29 number number NN 39713 6398 30 and and CC 39713 6398 31 the the DT 39713 6398 32 disposition disposition NN 39713 6398 33 of of IN 39713 6398 34 the the DT 39713 6398 35 reflecting reflect VBG 39713 6398 36 pulleys pulley NNS 39713 6398 37 . . . 39713 6399 1 It -PRON- PRP 39713 6399 2 has have VBZ 39713 6399 3 still still RB 39713 6399 4 to to TO 39713 6399 5 be be VB 39713 6399 6 completed complete VBN 39713 6399 7 by by IN 39713 6399 8 showing show VBG 39713 6399 9 this this DT 39713 6399 10 is be VBZ 39713 6399 11 only only RB 39713 6399 12 true true JJ 39713 6399 13 if if IN 39713 6399 14 the the DT 39713 6399 15 pulleys pulley NNS 39713 6399 16 are be VBP 39713 6399 17 frictionless frictionless JJ 39713 6399 18 . . . 39713 6400 1 Once once IN 39713 6400 2 master master NN 39713 6400 3 of of IN 39713 6400 4 these these DT 39713 6400 5 definitions definition NNS 39713 6400 6 , , , 39713 6400 7 it -PRON- PRP 39713 6400 8 is be VBZ 39713 6400 9 to to TO 39713 6400 10 be be VB 39713 6400 11 shown show VBN 39713 6400 12 that that IN 39713 6400 13 the the DT 39713 6400 14 point point NN 39713 6400 15 of of IN 39713 6400 16 application application NN 39713 6400 17 , , , 39713 6400 18 the the DT 39713 6400 19 direction direction NN 39713 6400 20 and and CC 39713 6400 21 the the DT 39713 6400 22 intensity intensity NN 39713 6400 23 suffice suffice NN 39713 6400 24 to to TO 39713 6400 25 determine determine VB 39713 6400 26 a a DT 39713 6400 27 force force NN 39713 6400 28 ; ; : 39713 6400 29 that that IN 39713 6400 30 two two CD 39713 6400 31 forces force NNS 39713 6400 32 for for IN 39713 6400 33 which which WDT 39713 6400 34 these these DT 39713 6400 35 three three CD 39713 6400 36 elements element NNS 39713 6400 37 are be VBP 39713 6400 38 the the DT 39713 6400 39 same same JJ 39713 6400 40 are be VBP 39713 6400 41 _ _ NNP 39713 6400 42 always always RB 39713 6400 43 _ _ NNP 39713 6400 44 equivalent equivalent JJ 39713 6400 45 and and CC 39713 6400 46 may may MD 39713 6400 47 _ _ NNP 39713 6400 48 always always RB 39713 6400 49 _ _ NNP 39713 6400 50 be be VB 39713 6400 51 replaced replace VBN 39713 6400 52 by by IN 39713 6400 53 one one CD 39713 6400 54 another another DT 39713 6400 55 , , , 39713 6400 56 whether whether IN 39713 6400 57 in in IN 39713 6400 58 equilibrium equilibrium NN 39713 6400 59 or or CC 39713 6400 60 in in IN 39713 6400 61 movement movement NN 39713 6400 62 , , , 39713 6400 63 and and CC 39713 6400 64 this this DT 39713 6400 65 whatever whatever WDT 39713 6400 66 be be VBP 39713 6400 67 the the DT 39713 6400 68 other other JJ 39713 6400 69 forces force NNS 39713 6400 70 acting act VBG 39713 6400 71 . . . 39713 6401 1 It -PRON- PRP 39713 6401 2 must must MD 39713 6401 3 be be VB 39713 6401 4 shown show VBN 39713 6401 5 that that IN 39713 6401 6 two two CD 39713 6401 7 concurrent concurrent JJ 39713 6401 8 forces force NNS 39713 6401 9 may may MD 39713 6401 10 always always RB 39713 6401 11 be be VB 39713 6401 12 replaced replace VBN 39713 6401 13 by by IN 39713 6401 14 a a DT 39713 6401 15 unique unique JJ 39713 6401 16 resultant resultant NN 39713 6401 17 ; ; : 39713 6401 18 and and CC 39713 6401 19 that that IN 39713 6401 20 _ _ NNP 39713 6401 21 this this DT 39713 6401 22 resultant resultant NN 39713 6401 23 remains remain VBZ 39713 6401 24 the the DT 39713 6401 25 same same JJ 39713 6401 26 _ _ NNP 39713 6401 27 , , , 39713 6401 28 whether whether IN 39713 6401 29 the the DT 39713 6401 30 body body NN 39713 6401 31 be be VB 39713 6401 32 at at IN 39713 6401 33 rest rest NN 39713 6401 34 or or CC 39713 6401 35 in in IN 39713 6401 36 motion motion NN 39713 6401 37 and and CC 39713 6401 38 whatever whatever WDT 39713 6401 39 be be VBP 39713 6401 40 the the DT 39713 6401 41 other other JJ 39713 6401 42 forces force NNS 39713 6401 43 applied apply VBN 39713 6401 44 to to IN 39713 6401 45 it -PRON- PRP 39713 6401 46 . . . 39713 6402 1 Finally finally RB 39713 6402 2 it -PRON- PRP 39713 6402 3 must must MD 39713 6402 4 be be VB 39713 6402 5 shown show VBN 39713 6402 6 that that IN 39713 6402 7 forces force NNS 39713 6402 8 thus thus RB 39713 6402 9 defined define VBD 39713 6402 10 satisfy satisfy RB 39713 6402 11 the the DT 39713 6402 12 principle principle NN 39713 6402 13 of of IN 39713 6402 14 the the DT 39713 6402 15 equality equality NN 39713 6402 16 of of IN 39713 6402 17 action action NN 39713 6402 18 and and CC 39713 6402 19 reaction reaction NN 39713 6402 20 . . . 39713 6403 1 Experiment experiment NN 39713 6403 2 it -PRON- PRP 39713 6403 3 is be VBZ 39713 6403 4 , , , 39713 6403 5 and and CC 39713 6403 6 experiment experiment NN 39713 6403 7 alone alone RB 39713 6403 8 , , , 39713 6403 9 which which WDT 39713 6403 10 can can MD 39713 6403 11 teach teach VB 39713 6403 12 us -PRON- PRP 39713 6403 13 all all PDT 39713 6403 14 that that DT 39713 6403 15 . . . 39713 6404 1 It -PRON- PRP 39713 6404 2 will will MD 39713 6404 3 suffice suffice VB 39713 6404 4 to to TO 39713 6404 5 cite cite VB 39713 6404 6 certain certain JJ 39713 6404 7 common common JJ 39713 6404 8 experiments experiment NNS 39713 6404 9 , , , 39713 6404 10 which which WDT 39713 6404 11 the the DT 39713 6404 12 scholars scholar NNS 39713 6404 13 make make VBP 39713 6404 14 daily daily RB 39713 6404 15 without without IN 39713 6404 16 suspecting suspect VBG 39713 6404 17 it -PRON- PRP 39713 6404 18 , , , 39713 6404 19 and and CC 39713 6404 20 to to TO 39713 6404 21 perform perform VB 39713 6404 22 before before IN 39713 6404 23 them -PRON- PRP 39713 6404 24 a a DT 39713 6404 25 few few JJ 39713 6404 26 experiments experiment NNS 39713 6404 27 , , , 39713 6404 28 simple simple JJ 39713 6404 29 and and CC 39713 6404 30 well well RB 39713 6404 31 chosen choose VBN 39713 6404 32 . . . 39713 6405 1 It -PRON- PRP 39713 6405 2 is be VBZ 39713 6405 3 after after IN 39713 6405 4 having have VBG 39713 6405 5 passed pass VBN 39713 6405 6 through through IN 39713 6405 7 all all PDT 39713 6405 8 these these DT 39713 6405 9 meanders meander NNS 39713 6405 10 that that IN 39713 6405 11 one one PRP 39713 6405 12 may may MD 39713 6405 13 represent represent VB 39713 6405 14 forces force NNS 39713 6405 15 by by IN 39713 6405 16 arrows arrow NNS 39713 6405 17 , , , 39713 6405 18 and and CC 39713 6405 19 I -PRON- PRP 39713 6405 20 should should MD 39713 6405 21 even even RB 39713 6405 22 wish wish VB 39713 6405 23 that that IN 39713 6405 24 in in IN 39713 6405 25 the the DT 39713 6405 26 development development NN 39713 6405 27 of of IN 39713 6405 28 the the DT 39713 6405 29 reasonings reasoning NNS 39713 6405 30 return return NN 39713 6405 31 were be VBD 39713 6405 32 made make VBN 39713 6405 33 from from IN 39713 6405 34 time time NN 39713 6405 35 to to IN 39713 6405 36 time time NN 39713 6405 37 from from IN 39713 6405 38 the the DT 39713 6405 39 symbol symbol NN 39713 6405 40 to to IN 39713 6405 41 the the DT 39713 6405 42 reality reality NN 39713 6405 43 . . . 39713 6406 1 For for IN 39713 6406 2 instance instance NN 39713 6406 3 it -PRON- PRP 39713 6406 4 would would MD 39713 6406 5 not not RB 39713 6406 6 be be VB 39713 6406 7 difficult difficult JJ 39713 6406 8 to to TO 39713 6406 9 illustrate illustrate VB 39713 6406 10 the the DT 39713 6406 11 parallelogram parallelogram NN 39713 6406 12 of of IN 39713 6406 13 forces force NNS 39713 6406 14 by by IN 39713 6406 15 aid aid NN 39713 6406 16 of of IN 39713 6406 17 an an DT 39713 6406 18 apparatus apparatus NN 39713 6406 19 formed form VBN 39713 6406 20 of of IN 39713 6406 21 three three CD 39713 6406 22 strings string NNS 39713 6406 23 , , , 39713 6406 24 passing pass VBG 39713 6406 25 over over RP 39713 6406 26 pulleys pulley NNS 39713 6406 27 , , , 39713 6406 28 stretched stretch VBN 39713 6406 29 by by IN 39713 6406 30 weights weight NNS 39713 6406 31 and and CC 39713 6406 32 in in IN 39713 6406 33 equilibrium equilibrium NN 39713 6406 34 while while IN 39713 6406 35 pulling pull VBG 39713 6406 36 on on IN 39713 6406 37 the the DT 39713 6406 38 same same JJ 39713 6406 39 point point NN 39713 6406 40 . . . 39713 6407 1 Knowing know VBG 39713 6407 2 force force NN 39713 6407 3 , , , 39713 6407 4 it -PRON- PRP 39713 6407 5 is be VBZ 39713 6407 6 easy easy JJ 39713 6407 7 to to TO 39713 6407 8 define define VB 39713 6407 9 mass mass NN 39713 6407 10 ; ; : 39713 6407 11 this this DT 39713 6407 12 time time NN 39713 6407 13 the the DT 39713 6407 14 definition definition NN 39713 6407 15 should should MD 39713 6407 16 be be VB 39713 6407 17 borrowed borrow VBN 39713 6407 18 from from IN 39713 6407 19 dynamics dynamic NNS 39713 6407 20 ; ; : 39713 6407 21 there there EX 39713 6407 22 is be VBZ 39713 6407 23 no no DT 39713 6407 24 way way NN 39713 6407 25 of of IN 39713 6407 26 doing do VBG 39713 6407 27 otherwise otherwise RB 39713 6407 28 , , , 39713 6407 29 since since IN 39713 6407 30 the the DT 39713 6407 31 end end NN 39713 6407 32 to to TO 39713 6407 33 be be VB 39713 6407 34 attained attain VBN 39713 6407 35 is be VBZ 39713 6407 36 to to TO 39713 6407 37 give give VB 39713 6407 38 understanding understanding NN 39713 6407 39 of of IN 39713 6407 40 the the DT 39713 6407 41 distinction distinction NN 39713 6407 42 between between IN 39713 6407 43 mass mass NN 39713 6407 44 and and CC 39713 6407 45 weight weight NN 39713 6407 46 . . . 39713 6408 1 Here here RB 39713 6408 2 again again RB 39713 6408 3 , , , 39713 6408 4 the the DT 39713 6408 5 definition definition NN 39713 6408 6 should should MD 39713 6408 7 be be VB 39713 6408 8 led lead VBN 39713 6408 9 up up RP 39713 6408 10 to to IN 39713 6408 11 by by IN 39713 6408 12 experiments experiment NNS 39713 6408 13 ; ; : 39713 6408 14 there there EX 39713 6408 15 is be VBZ 39713 6408 16 in in IN 39713 6408 17 fact fact NN 39713 6408 18 a a DT 39713 6408 19 machine machine NN 39713 6408 20 which which WDT 39713 6408 21 seems seem VBZ 39713 6408 22 made make VBN 39713 6408 23 expressly expressly RB 39713 6408 24 to to TO 39713 6408 25 show show VB 39713 6408 26 what what WP 39713 6408 27 mass mass NN 39713 6408 28 is be VBZ 39713 6408 29 , , , 39713 6408 30 Atwood Atwood NNP 39713 6408 31 's 's POS 39713 6408 32 machine machine NN 39713 6408 33 ; ; : 39713 6408 34 recall recall NN 39713 6408 35 also also RB 39713 6408 36 the the DT 39713 6408 37 laws law NNS 39713 6408 38 of of IN 39713 6408 39 the the DT 39713 6408 40 fall fall NN 39713 6408 41 of of IN 39713 6408 42 bodies body NNS 39713 6408 43 , , , 39713 6408 44 that that IN 39713 6408 45 the the DT 39713 6408 46 acceleration acceleration NN 39713 6408 47 of of IN 39713 6408 48 gravity gravity NN 39713 6408 49 is be VBZ 39713 6408 50 the the DT 39713 6408 51 same same JJ 39713 6408 52 for for IN 39713 6408 53 heavy heavy JJ 39713 6408 54 as as IN 39713 6408 55 for for IN 39713 6408 56 light light JJ 39713 6408 57 bodies body NNS 39713 6408 58 , , , 39713 6408 59 and and CC 39713 6408 60 that that IN 39713 6408 61 it -PRON- PRP 39713 6408 62 varies vary VBZ 39713 6408 63 with with IN 39713 6408 64 the the DT 39713 6408 65 latitude latitude NN 39713 6408 66 , , , 39713 6408 67 etc etc FW 39713 6408 68 . . . 39713 6409 1 Now now RB 39713 6409 2 , , , 39713 6409 3 if if IN 39713 6409 4 you -PRON- PRP 39713 6409 5 tell tell VBP 39713 6409 6 me -PRON- PRP 39713 6409 7 that that IN 39713 6409 8 all all PDT 39713 6409 9 the the DT 39713 6409 10 methods method NNS 39713 6409 11 I -PRON- PRP 39713 6409 12 extol extol VBP 39713 6409 13 have have VBP 39713 6409 14 long long RB 39713 6409 15 been be VBN 39713 6409 16 applied apply VBN 39713 6409 17 in in IN 39713 6409 18 the the DT 39713 6409 19 schools school NNS 39713 6409 20 , , , 39713 6409 21 I -PRON- PRP 39713 6409 22 shall shall MD 39713 6409 23 rejoice rejoice VB 39713 6409 24 over over IN 39713 6409 25 it -PRON- PRP 39713 6409 26 more more RBR 39713 6409 27 than than IN 39713 6409 28 be be VB 39713 6409 29 surprised surprised JJ 39713 6409 30 at at IN 39713 6409 31 it -PRON- PRP 39713 6409 32 . . . 39713 6410 1 I -PRON- PRP 39713 6410 2 know know VBP 39713 6410 3 that that IN 39713 6410 4 on on IN 39713 6410 5 the the DT 39713 6410 6 whole whole NN 39713 6410 7 our -PRON- PRP$ 39713 6410 8 mathematical mathematical JJ 39713 6410 9 teaching teaching NN 39713 6410 10 is be VBZ 39713 6410 11 good good JJ 39713 6410 12 . . . 39713 6411 1 I -PRON- PRP 39713 6411 2 do do VBP 39713 6411 3 not not RB 39713 6411 4 wish wish VB 39713 6411 5 it -PRON- PRP 39713 6411 6 overturned overturn VBD 39713 6411 7 ; ; : 39713 6411 8 that that DT 39713 6411 9 would would MD 39713 6411 10 even even RB 39713 6411 11 distress distress VB 39713 6411 12 me -PRON- PRP 39713 6411 13 . . . 39713 6412 1 I -PRON- PRP 39713 6412 2 only only RB 39713 6412 3 desire desire VBP 39713 6412 4 betterments betterment NNS 39713 6412 5 slowly slowly RB 39713 6412 6 progressive progressive JJ 39713 6412 7 . . . 39713 6413 1 This this DT 39713 6413 2 teaching teaching NN 39713 6413 3 should should MD 39713 6413 4 not not RB 39713 6413 5 be be VB 39713 6413 6 subjected subject VBN 39713 6413 7 to to TO 39713 6413 8 brusque brusque VB 39713 6413 9 oscillations oscillation NNS 39713 6413 10 under under IN 39713 6413 11 the the DT 39713 6413 12 capricious capricious JJ 39713 6413 13 blast blast NN 39713 6413 14 of of IN 39713 6413 15 ephemeral ephemeral JJ 39713 6413 16 fads fad NNS 39713 6413 17 . . . 39713 6414 1 In in IN 39713 6414 2 such such JJ 39713 6414 3 tempests tempest NNS 39713 6414 4 its -PRON- PRP$ 39713 6414 5 high high JJ 39713 6414 6 educative educative JJ 39713 6414 7 value value NN 39713 6414 8 would would MD 39713 6414 9 soon soon RB 39713 6414 10 founder founder VB 39713 6414 11 . . . 39713 6415 1 A a DT 39713 6415 2 good good JJ 39713 6415 3 and and CC 39713 6415 4 sound sound JJ 39713 6415 5 logic logic NN 39713 6415 6 should should MD 39713 6415 7 continue continue VB 39713 6415 8 to to TO 39713 6415 9 be be VB 39713 6415 10 its -PRON- PRP$ 39713 6415 11 basis basis NN 39713 6415 12 . . . 39713 6416 1 The the DT 39713 6416 2 definition definition NN 39713 6416 3 by by IN 39713 6416 4 example example NN 39713 6416 5 is be VBZ 39713 6416 6 always always RB 39713 6416 7 necessary necessary JJ 39713 6416 8 , , , 39713 6416 9 but but CC 39713 6416 10 it -PRON- PRP 39713 6416 11 should should MD 39713 6416 12 prepare prepare VB 39713 6416 13 the the DT 39713 6416 14 way way NN 39713 6416 15 for for IN 39713 6416 16 the the DT 39713 6416 17 logical logical JJ 39713 6416 18 definition definition NN 39713 6416 19 , , , 39713 6416 20 it -PRON- PRP 39713 6416 21 should should MD 39713 6416 22 not not RB 39713 6416 23 replace replace VB 39713 6416 24 it -PRON- PRP 39713 6416 25 ; ; : 39713 6416 26 it -PRON- PRP 39713 6416 27 should should MD 39713 6416 28 at at IN 39713 6416 29 least least RB 39713 6416 30 make make VB 39713 6416 31 this this DT 39713 6416 32 wished wish VBN 39713 6416 33 for for IN 39713 6416 34 , , , 39713 6416 35 in in IN 39713 6416 36 the the DT 39713 6416 37 cases case NNS 39713 6416 38 where where WRB 39713 6416 39 the the DT 39713 6416 40 true true JJ 39713 6416 41 logical logical JJ 39713 6416 42 definition definition NN 39713 6416 43 can can MD 39713 6416 44 be be VB 39713 6416 45 advantageously advantageously RB 39713 6416 46 given give VBN 39713 6416 47 only only RB 39713 6416 48 in in IN 39713 6416 49 advanced advanced JJ 39713 6416 50 teaching teaching NN 39713 6416 51 . . . 39713 6417 1 Understand understand VB 39713 6417 2 that that IN 39713 6417 3 what what WP 39713 6417 4 I -PRON- PRP 39713 6417 5 have have VBP 39713 6417 6 here here RB 39713 6417 7 said say VBN 39713 6417 8 does do VBZ 39713 6417 9 not not RB 39713 6417 10 imply imply VB 39713 6417 11 giving give VBG 39713 6417 12 up up RP 39713 6417 13 what what WP 39713 6417 14 I -PRON- PRP 39713 6417 15 have have VBP 39713 6417 16 written write VBN 39713 6417 17 elsewhere elsewhere RB 39713 6417 18 . . . 39713 6418 1 I -PRON- PRP 39713 6418 2 have have VBP 39713 6418 3 often often RB 39713 6418 4 had have VBN 39713 6418 5 occasion occasion NN 39713 6418 6 to to TO 39713 6418 7 criticize criticize VB 39713 6418 8 certain certain JJ 39713 6418 9 definitions definition NNS 39713 6418 10 I -PRON- PRP 39713 6418 11 extol extol VBP 39713 6418 12 to to IN 39713 6418 13 - - HYPH 39713 6418 14 day day NN 39713 6418 15 . . . 39713 6419 1 These these DT 39713 6419 2 criticisms criticism NNS 39713 6419 3 hold hold VBP 39713 6419 4 good good JJ 39713 6419 5 completely completely RB 39713 6419 6 . . . 39713 6420 1 These these DT 39713 6420 2 definitions definition NNS 39713 6420 3 can can MD 39713 6420 4 only only RB 39713 6420 5 be be VB 39713 6420 6 provisory provisory JJ 39713 6420 7 . . . 39713 6421 1 But but CC 39713 6421 2 it -PRON- PRP 39713 6421 3 is be VBZ 39713 6421 4 by by IN 39713 6421 5 way way NN 39713 6421 6 of of IN 39713 6421 7 them -PRON- PRP 39713 6421 8 that that IN 39713 6421 9 we -PRON- PRP 39713 6421 10 must must MD 39713 6421 11 pass pass VB 39713 6421 12 . . . 39713 6422 1 CHAPTER CHAPTER NNP 39713 6422 2 III III NNP 39713 6422 3 MATHEMATICS mathematic NNS 39713 6422 4 AND and CC 39713 6422 5 LOGIC logic NN 39713 6422 6 INTRODUCTION introduction NN 39713 6422 7 Can Can MD 39713 6422 8 mathematics mathematic NNS 39713 6422 9 be be VB 39713 6422 10 reduced reduce VBN 39713 6422 11 to to IN 39713 6422 12 logic logic NN 39713 6422 13 without without IN 39713 6422 14 having have VBG 39713 6422 15 to to TO 39713 6422 16 appeal appeal VB 39713 6422 17 to to IN 39713 6422 18 principles principle NNS 39713 6422 19 peculiar peculiar JJ 39713 6422 20 to to IN 39713 6422 21 mathematics mathematic NNS 39713 6422 22 ? ? . 39713 6423 1 There there EX 39713 6423 2 is be VBZ 39713 6423 3 a a DT 39713 6423 4 whole whole JJ 39713 6423 5 school school NN 39713 6423 6 , , , 39713 6423 7 abounding abound VBG 39713 6423 8 in in IN 39713 6423 9 ardor ardor JJ 39713 6423 10 and and CC 39713 6423 11 full full JJ 39713 6423 12 of of IN 39713 6423 13 faith faith NN 39713 6423 14 , , , 39713 6423 15 striving strive VBG 39713 6423 16 to to TO 39713 6423 17 prove prove VB 39713 6423 18 it -PRON- PRP 39713 6423 19 . . . 39713 6424 1 They -PRON- PRP 39713 6424 2 have have VBP 39713 6424 3 their -PRON- PRP$ 39713 6424 4 own own JJ 39713 6424 5 special special JJ 39713 6424 6 language language NN 39713 6424 7 , , , 39713 6424 8 which which WDT 39713 6424 9 is be VBZ 39713 6424 10 without without IN 39713 6424 11 words word NNS 39713 6424 12 , , , 39713 6424 13 using use VBG 39713 6424 14 only only JJ 39713 6424 15 signs sign NNS 39713 6424 16 . . . 39713 6425 1 This this DT 39713 6425 2 language language NN 39713 6425 3 is be VBZ 39713 6425 4 understood understand VBN 39713 6425 5 only only RB 39713 6425 6 by by IN 39713 6425 7 the the DT 39713 6425 8 initiates initiates NNPS 39713 6425 9 , , , 39713 6425 10 so so IN 39713 6425 11 that that IN 39713 6425 12 commoners commoner NNS 39713 6425 13 are be VBP 39713 6425 14 disposed dispose VBN 39713 6425 15 to to TO 39713 6425 16 bow bow VB 39713 6425 17 to to IN 39713 6425 18 the the DT 39713 6425 19 trenchant trenchant JJ 39713 6425 20 affirmations affirmation NNS 39713 6425 21 of of IN 39713 6425 22 the the DT 39713 6425 23 adepts adept NNS 39713 6425 24 . . . 39713 6426 1 It -PRON- PRP 39713 6426 2 is be VBZ 39713 6426 3 perhaps perhaps RB 39713 6426 4 not not RB 39713 6426 5 unprofitable unprofitable JJ 39713 6426 6 to to TO 39713 6426 7 examine examine VB 39713 6426 8 these these DT 39713 6426 9 affirmations affirmation NNS 39713 6426 10 somewhat somewhat RB 39713 6426 11 closely closely RB 39713 6426 12 , , , 39713 6426 13 to to TO 39713 6426 14 see see VB 39713 6426 15 if if IN 39713 6426 16 they -PRON- PRP 39713 6426 17 justify justify VBP 39713 6426 18 the the DT 39713 6426 19 peremptory peremptory JJ 39713 6426 20 tone tone NN 39713 6426 21 with with IN 39713 6426 22 which which WDT 39713 6426 23 they -PRON- PRP 39713 6426 24 are be VBP 39713 6426 25 presented present VBN 39713 6426 26 . . . 39713 6427 1 But but CC 39713 6427 2 to to TO 39713 6427 3 make make VB 39713 6427 4 clear clear JJ 39713 6427 5 the the DT 39713 6427 6 nature nature NN 39713 6427 7 of of IN 39713 6427 8 the the DT 39713 6427 9 question question NN 39713 6427 10 it -PRON- PRP 39713 6427 11 is be VBZ 39713 6427 12 necessary necessary JJ 39713 6427 13 to to TO 39713 6427 14 enter enter VB 39713 6427 15 upon upon IN 39713 6427 16 certain certain JJ 39713 6427 17 historical historical JJ 39713 6427 18 details detail NNS 39713 6427 19 and and CC 39713 6427 20 in in IN 39713 6427 21 particular particular JJ 39713 6427 22 to to TO 39713 6427 23 recall recall VB 39713 6427 24 the the DT 39713 6427 25 character character NN 39713 6427 26 of of IN 39713 6427 27 the the DT 39713 6427 28 works work NNS 39713 6427 29 of of IN 39713 6427 30 Cantor Cantor NNP 39713 6427 31 . . . 39713 6428 1 Since since IN 39713 6428 2 long long RB 39713 6428 3 ago ago RB 39713 6428 4 the the DT 39713 6428 5 notion notion NN 39713 6428 6 of of IN 39713 6428 7 infinity infinity NN 39713 6428 8 had have VBD 39713 6428 9 been be VBN 39713 6428 10 introduced introduce VBN 39713 6428 11 into into IN 39713 6428 12 mathematics mathematic NNS 39713 6428 13 ; ; : 39713 6428 14 but but CC 39713 6428 15 this this DT 39713 6428 16 infinite infinite NN 39713 6428 17 was be VBD 39713 6428 18 what what WDT 39713 6428 19 philosophers philosopher NNS 39713 6428 20 call call VBP 39713 6428 21 a a DT 39713 6428 22 _ _ NNP 39713 6428 23 becoming become VBG 39713 6428 24 _ _ NNP 39713 6428 25 . . . 39713 6429 1 The the DT 39713 6429 2 mathematical mathematical JJ 39713 6429 3 infinite infinite NN 39713 6429 4 was be VBD 39713 6429 5 only only RB 39713 6429 6 a a DT 39713 6429 7 quantity quantity NN 39713 6429 8 capable capable JJ 39713 6429 9 of of IN 39713 6429 10 increasing increase VBG 39713 6429 11 beyond beyond RB 39713 6429 12 all all DT 39713 6429 13 limit limit NN 39713 6429 14 : : : 39713 6429 15 it -PRON- PRP 39713 6429 16 was be VBD 39713 6429 17 a a DT 39713 6429 18 variable variable JJ 39713 6429 19 quantity quantity NN 39713 6429 20 of of IN 39713 6429 21 which which WDT 39713 6429 22 it -PRON- PRP 39713 6429 23 could could MD 39713 6429 24 not not RB 39713 6429 25 be be VB 39713 6429 26 said say VBN 39713 6429 27 that that IN 39713 6429 28 it -PRON- PRP 39713 6429 29 _ _ NNP 39713 6429 30 had have VBD 39713 6429 31 passed pass VBN 39713 6429 32 _ _ NNP 39713 6429 33 all all DT 39713 6429 34 limits limit NNS 39713 6429 35 , , , 39713 6429 36 but but CC 39713 6429 37 only only RB 39713 6429 38 that that IN 39713 6429 39 it -PRON- PRP 39713 6429 40 _ _ NNP 39713 6429 41 could could MD 39713 6429 42 pass pass VB 39713 6429 43 _ _ NNP 39713 6429 44 them -PRON- PRP 39713 6429 45 . . . 39713 6430 1 Cantor Cantor NNP 39713 6430 2 has have VBZ 39713 6430 3 undertaken undertake VBN 39713 6430 4 to to TO 39713 6430 5 introduce introduce VB 39713 6430 6 into into IN 39713 6430 7 mathematics mathematic NNS 39713 6430 8 an an DT 39713 6430 9 _ _ NNP 39713 6430 10 actual actual JJ 39713 6430 11 infinite infinite NN 39713 6430 12 _ _ NNP 39713 6430 13 , , , 39713 6430 14 that that DT 39713 6430 15 is be VBZ 39713 6430 16 to to TO 39713 6430 17 say say VB 39713 6430 18 a a DT 39713 6430 19 quantity quantity NN 39713 6430 20 which which WDT 39713 6430 21 not not RB 39713 6430 22 only only RB 39713 6430 23 is be VBZ 39713 6430 24 capable capable JJ 39713 6430 25 of of IN 39713 6430 26 passing pass VBG 39713 6430 27 all all DT 39713 6430 28 limits limit NNS 39713 6430 29 , , , 39713 6430 30 but but CC 39713 6430 31 which which WDT 39713 6430 32 is be VBZ 39713 6430 33 regarded regard VBN 39713 6430 34 as as IN 39713 6430 35 having have VBG 39713 6430 36 already already RB 39713 6430 37 passed pass VBN 39713 6430 38 them -PRON- PRP 39713 6430 39 . . . 39713 6431 1 He -PRON- PRP 39713 6431 2 has have VBZ 39713 6431 3 set set VBN 39713 6431 4 himself -PRON- PRP 39713 6431 5 questions question NNS 39713 6431 6 like like IN 39713 6431 7 these these DT 39713 6431 8 : : : 39713 6431 9 Are be VBP 39713 6431 10 there there EX 39713 6431 11 more more JJR 39713 6431 12 points point NNS 39713 6431 13 in in IN 39713 6431 14 space space NN 39713 6431 15 than than IN 39713 6431 16 whole whole JJ 39713 6431 17 numbers number NNS 39713 6431 18 ? ? . 39713 6432 1 Are be VBP 39713 6432 2 there there EX 39713 6432 3 more more JJR 39713 6432 4 points point NNS 39713 6432 5 in in IN 39713 6432 6 space space NN 39713 6432 7 than than IN 39713 6432 8 points point NNS 39713 6432 9 in in IN 39713 6432 10 a a DT 39713 6432 11 plane plane NN 39713 6432 12 ? ? . 39713 6433 1 etc etc FW 39713 6433 2 . . . 39713 6434 1 And and CC 39713 6434 2 then then RB 39713 6434 3 the the DT 39713 6434 4 number number NN 39713 6434 5 of of IN 39713 6434 6 whole whole JJ 39713 6434 7 numbers number NNS 39713 6434 8 , , , 39713 6434 9 that that DT 39713 6434 10 of of IN 39713 6434 11 the the DT 39713 6434 12 points point NNS 39713 6434 13 of of IN 39713 6434 14 space space NN 39713 6434 15 , , , 39713 6434 16 etc etc FW 39713 6434 17 . . FW 39713 6434 18 , , , 39713 6434 19 constitutes constitute VBZ 39713 6434 20 what what WP 39713 6434 21 he -PRON- PRP 39713 6434 22 calls call VBZ 39713 6434 23 a a DT 39713 6434 24 _ _ NNP 39713 6434 25 transfinite transfinite JJ 39713 6434 26 cardinal cardinal JJ 39713 6434 27 number number NN 39713 6434 28 _ _ NNP 39713 6434 29 , , , 39713 6434 30 that that DT 39713 6434 31 is be VBZ 39713 6434 32 to to TO 39713 6434 33 say say VB 39713 6434 34 a a DT 39713 6434 35 cardinal cardinal JJ 39713 6434 36 number number NN 39713 6434 37 greater great JJR 39713 6434 38 than than IN 39713 6434 39 all all PDT 39713 6434 40 the the DT 39713 6434 41 ordinary ordinary JJ 39713 6434 42 cardinal cardinal JJ 39713 6434 43 numbers number NNS 39713 6434 44 . . . 39713 6435 1 And and CC 39713 6435 2 he -PRON- PRP 39713 6435 3 has have VBZ 39713 6435 4 occupied occupy VBN 39713 6435 5 himself -PRON- PRP 39713 6435 6 in in IN 39713 6435 7 comparing compare VBG 39713 6435 8 these these DT 39713 6435 9 transfinite transfinite JJ 39713 6435 10 cardinal cardinal JJ 39713 6435 11 numbers number NNS 39713 6435 12 . . . 39713 6436 1 In in IN 39713 6436 2 arranging arrange VBG 39713 6436 3 in in IN 39713 6436 4 a a DT 39713 6436 5 proper proper JJ 39713 6436 6 order order NN 39713 6436 7 the the DT 39713 6436 8 elements element NNS 39713 6436 9 of of IN 39713 6436 10 an an DT 39713 6436 11 aggregate aggregate NN 39713 6436 12 containing contain VBG 39713 6436 13 an an DT 39713 6436 14 infinity infinity NN 39713 6436 15 of of IN 39713 6436 16 them -PRON- PRP 39713 6436 17 , , , 39713 6436 18 he -PRON- PRP 39713 6436 19 has have VBZ 39713 6436 20 also also RB 39713 6436 21 imagined imagine VBN 39713 6436 22 what what WP 39713 6436 23 he -PRON- PRP 39713 6436 24 calls call VBZ 39713 6436 25 transfinite transfinite JJ 39713 6436 26 ordinal ordinal JJ 39713 6436 27 numbers number NNS 39713 6436 28 upon upon IN 39713 6436 29 which which WDT 39713 6436 30 I -PRON- PRP 39713 6436 31 shall shall MD 39713 6436 32 not not RB 39713 6436 33 dwell dwell VB 39713 6436 34 . . . 39713 6437 1 Many many JJ 39713 6437 2 mathematicians mathematician NNS 39713 6437 3 followed follow VBD 39713 6437 4 his -PRON- PRP$ 39713 6437 5 lead lead NN 39713 6437 6 and and CC 39713 6437 7 set set VB 39713 6437 8 a a DT 39713 6437 9 series series NN 39713 6437 10 of of IN 39713 6437 11 questions question NNS 39713 6437 12 of of IN 39713 6437 13 the the DT 39713 6437 14 sort sort NN 39713 6437 15 . . . 39713 6438 1 They -PRON- PRP 39713 6438 2 so so RB 39713 6438 3 familiarized familiarize VBD 39713 6438 4 themselves -PRON- PRP 39713 6438 5 with with IN 39713 6438 6 transfinite transfinite JJ 39713 6438 7 numbers number NNS 39713 6438 8 that that WDT 39713 6438 9 they -PRON- PRP 39713 6438 10 have have VBP 39713 6438 11 come come VBN 39713 6438 12 to to TO 39713 6438 13 make make VB 39713 6438 14 the the DT 39713 6438 15 theory theory NN 39713 6438 16 of of IN 39713 6438 17 finite finite JJ 39713 6438 18 numbers number NNS 39713 6438 19 depend depend VBP 39713 6438 20 upon upon IN 39713 6438 21 that that DT 39713 6438 22 of of IN 39713 6438 23 Cantor Cantor NNP 39713 6438 24 's 's POS 39713 6438 25 cardinal cardinal JJ 39713 6438 26 numbers number NNS 39713 6438 27 . . . 39713 6439 1 In in IN 39713 6439 2 their -PRON- PRP$ 39713 6439 3 eyes eye NNS 39713 6439 4 , , , 39713 6439 5 to to TO 39713 6439 6 teach teach VB 39713 6439 7 arithmetic arithmetic JJ 39713 6439 8 in in IN 39713 6439 9 a a DT 39713 6439 10 way way NN 39713 6439 11 truly truly RB 39713 6439 12 logical logical JJ 39713 6439 13 , , , 39713 6439 14 one one PRP 39713 6439 15 should should MD 39713 6439 16 begin begin VB 39713 6439 17 by by IN 39713 6439 18 establishing establish VBG 39713 6439 19 the the DT 39713 6439 20 general general JJ 39713 6439 21 properties property NNS 39713 6439 22 of of IN 39713 6439 23 transfinite transfinite JJ 39713 6439 24 cardinal cardinal JJ 39713 6439 25 numbers number NNS 39713 6439 26 , , , 39713 6439 27 then then RB 39713 6439 28 distinguish distinguish VB 39713 6439 29 among among IN 39713 6439 30 them -PRON- PRP 39713 6439 31 a a DT 39713 6439 32 very very RB 39713 6439 33 small small JJ 39713 6439 34 class class NN 39713 6439 35 , , , 39713 6439 36 that that DT 39713 6439 37 of of IN 39713 6439 38 the the DT 39713 6439 39 ordinary ordinary JJ 39713 6439 40 whole whole JJ 39713 6439 41 numbers number NNS 39713 6439 42 . . . 39713 6440 1 Thanks thank NNS 39713 6440 2 to to IN 39713 6440 3 this this DT 39713 6440 4 détour détour NN 39713 6440 5 , , , 39713 6440 6 one one PRP 39713 6440 7 might may MD 39713 6440 8 succeed succeed VB 39713 6440 9 in in IN 39713 6440 10 proving prove VBG 39713 6440 11 all all PDT 39713 6440 12 the the DT 39713 6440 13 propositions proposition NNS 39713 6440 14 relative relative JJ 39713 6440 15 to to IN 39713 6440 16 this this DT 39713 6440 17 little little JJ 39713 6440 18 class class NN 39713 6440 19 ( ( -LRB- 39713 6440 20 that that DT 39713 6440 21 is be VBZ 39713 6440 22 to to TO 39713 6440 23 say say VB 39713 6440 24 all all DT 39713 6440 25 our -PRON- PRP$ 39713 6440 26 arithmetic arithmetic JJ 39713 6440 27 and and CC 39713 6440 28 our -PRON- PRP$ 39713 6440 29 algebra algebra NN 39713 6440 30 ) ) -RRB- 39713 6440 31 without without IN 39713 6440 32 using use VBG 39713 6440 33 any any DT 39713 6440 34 principle principle JJ 39713 6440 35 foreign foreign NN 39713 6440 36 to to IN 39713 6440 37 logic logic VB 39713 6440 38 . . . 39713 6441 1 This this DT 39713 6441 2 method method NN 39713 6441 3 is be VBZ 39713 6441 4 evidently evidently RB 39713 6441 5 contrary contrary JJ 39713 6441 6 to to IN 39713 6441 7 all all DT 39713 6441 8 sane sane JJ 39713 6441 9 psychology psychology NN 39713 6441 10 ; ; : 39713 6441 11 it -PRON- PRP 39713 6441 12 is be VBZ 39713 6441 13 certainly certainly RB 39713 6441 14 not not RB 39713 6441 15 in in IN 39713 6441 16 this this DT 39713 6441 17 way way NN 39713 6441 18 that that WDT 39713 6441 19 the the DT 39713 6441 20 human human JJ 39713 6441 21 mind mind NN 39713 6441 22 proceeded proceed VBN 39713 6441 23 in in IN 39713 6441 24 constructing construct VBG 39713 6441 25 mathematics mathematic NNS 39713 6441 26 ; ; : 39713 6441 27 so so CC 39713 6441 28 its -PRON- PRP$ 39713 6441 29 authors author NNS 39713 6441 30 do do VBP 39713 6441 31 not not RB 39713 6441 32 dream dream VB 39713 6441 33 , , , 39713 6441 34 I -PRON- PRP 39713 6441 35 think think VBP 39713 6441 36 , , , 39713 6441 37 of of IN 39713 6441 38 introducing introduce VBG 39713 6441 39 it -PRON- PRP 39713 6441 40 into into IN 39713 6441 41 secondary secondary JJ 39713 6441 42 teaching teaching NN 39713 6441 43 . . . 39713 6442 1 But but CC 39713 6442 2 is be VBZ 39713 6442 3 it -PRON- PRP 39713 6442 4 at at IN 39713 6442 5 least least JJS 39713 6442 6 logic logic NN 39713 6442 7 , , , 39713 6442 8 or or CC 39713 6442 9 , , , 39713 6442 10 better well JJR 39713 6442 11 , , , 39713 6442 12 is be VBZ 39713 6442 13 it -PRON- PRP 39713 6442 14 correct correct JJ 39713 6442 15 ? ? . 39713 6443 1 It -PRON- PRP 39713 6443 2 may may MD 39713 6443 3 be be VB 39713 6443 4 doubted doubt VBN 39713 6443 5 . . . 39713 6444 1 The the DT 39713 6444 2 geometers geometer NNS 39713 6444 3 who who WP 39713 6444 4 have have VBP 39713 6444 5 employed employ VBN 39713 6444 6 it -PRON- PRP 39713 6444 7 are be VBP 39713 6444 8 however however RB 39713 6444 9 very very RB 39713 6444 10 numerous numerous JJ 39713 6444 11 . . . 39713 6445 1 They -PRON- PRP 39713 6445 2 have have VBP 39713 6445 3 accumulated accumulate VBN 39713 6445 4 formulas formula NNS 39713 6445 5 and and CC 39713 6445 6 they -PRON- PRP 39713 6445 7 have have VBP 39713 6445 8 thought think VBN 39713 6445 9 to to TO 39713 6445 10 free free VB 39713 6445 11 themselves -PRON- PRP 39713 6445 12 from from IN 39713 6445 13 what what WP 39713 6445 14 was be VBD 39713 6445 15 not not RB 39713 6445 16 pure pure JJ 39713 6445 17 logic logic NN 39713 6445 18 by by IN 39713 6445 19 writing write VBG 39713 6445 20 memoirs memoir NNS 39713 6445 21 where where WRB 39713 6445 22 the the DT 39713 6445 23 formulas formula NNS 39713 6445 24 no no RB 39713 6445 25 longer long RBR 39713 6445 26 alternate alternate JJ 39713 6445 27 with with IN 39713 6445 28 explanatory explanatory JJ 39713 6445 29 discourse discourse NN 39713 6445 30 as as IN 39713 6445 31 in in IN 39713 6445 32 the the DT 39713 6445 33 books book NNS 39713 6445 34 of of IN 39713 6445 35 ordinary ordinary JJ 39713 6445 36 mathematics mathematic NNS 39713 6445 37 , , , 39713 6445 38 but but CC 39713 6445 39 where where WRB 39713 6445 40 this this DT 39713 6445 41 discourse discourse NN 39713 6445 42 has have VBZ 39713 6445 43 completely completely RB 39713 6445 44 disappeared disappear VBN 39713 6445 45 . . . 39713 6446 1 Unfortunately unfortunately RB 39713 6446 2 they -PRON- PRP 39713 6446 3 have have VBP 39713 6446 4 reached reach VBN 39713 6446 5 contradictory contradictory JJ 39713 6446 6 results result NNS 39713 6446 7 , , , 39713 6446 8 what what WP 39713 6446 9 are be VBP 39713 6446 10 called call VBN 39713 6446 11 the the DT 39713 6446 12 _ _ NNP 39713 6446 13 cantorian cantorian JJ 39713 6446 14 antinomies antinomy NNS 39713 6446 15 _ _ NNP 39713 6446 16 , , , 39713 6446 17 to to TO 39713 6446 18 which which WDT 39713 6446 19 we -PRON- PRP 39713 6446 20 shall shall MD 39713 6446 21 have have VB 39713 6446 22 occasion occasion NN 39713 6446 23 to to TO 39713 6446 24 return return VB 39713 6446 25 . . . 39713 6447 1 These these DT 39713 6447 2 contradictions contradiction NNS 39713 6447 3 have have VBP 39713 6447 4 not not RB 39713 6447 5 discouraged discourage VBN 39713 6447 6 them -PRON- PRP 39713 6447 7 and and CC 39713 6447 8 they -PRON- PRP 39713 6447 9 have have VBP 39713 6447 10 tried try VBN 39713 6447 11 to to TO 39713 6447 12 modify modify VB 39713 6447 13 their -PRON- PRP$ 39713 6447 14 rules rule NNS 39713 6447 15 so so IN 39713 6447 16 as as IN 39713 6447 17 to to TO 39713 6447 18 make make VB 39713 6447 19 those those DT 39713 6447 20 disappear disappear VB 39713 6447 21 which which WDT 39713 6447 22 had have VBD 39713 6447 23 already already RB 39713 6447 24 shown show VBN 39713 6447 25 themselves -PRON- PRP 39713 6447 26 , , , 39713 6447 27 without without IN 39713 6447 28 being be VBG 39713 6447 29 sure sure JJ 39713 6447 30 , , , 39713 6447 31 for for IN 39713 6447 32 all all PDT 39713 6447 33 that that DT 39713 6447 34 , , , 39713 6447 35 that that IN 39713 6447 36 new new JJ 39713 6447 37 ones one NNS 39713 6447 38 would would MD 39713 6447 39 not not RB 39713 6447 40 manifest manifest VB 39713 6447 41 themselves -PRON- PRP 39713 6447 42 . . . 39713 6448 1 It -PRON- PRP 39713 6448 2 is be VBZ 39713 6448 3 time time NN 39713 6448 4 to to TO 39713 6448 5 administer administer VB 39713 6448 6 justice justice NN 39713 6448 7 on on IN 39713 6448 8 these these DT 39713 6448 9 exaggerations exaggeration NNS 39713 6448 10 . . . 39713 6449 1 I -PRON- PRP 39713 6449 2 do do VBP 39713 6449 3 not not RB 39713 6449 4 hope hope VB 39713 6449 5 to to TO 39713 6449 6 convince convince VB 39713 6449 7 them -PRON- PRP 39713 6449 8 ; ; : 39713 6449 9 for for IN 39713 6449 10 they -PRON- PRP 39713 6449 11 have have VBP 39713 6449 12 lived live VBN 39713 6449 13 too too RB 39713 6449 14 long long RB 39713 6449 15 in in IN 39713 6449 16 this this DT 39713 6449 17 atmosphere atmosphere NN 39713 6449 18 . . . 39713 6450 1 Besides besides RB 39713 6450 2 , , , 39713 6450 3 when when WRB 39713 6450 4 one one CD 39713 6450 5 of of IN 39713 6450 6 their -PRON- PRP$ 39713 6450 7 demonstrations demonstration NNS 39713 6450 8 has have VBZ 39713 6450 9 been be VBN 39713 6450 10 refuted refute VBN 39713 6450 11 , , , 39713 6450 12 we -PRON- PRP 39713 6450 13 are be VBP 39713 6450 14 sure sure JJ 39713 6450 15 to to TO 39713 6450 16 see see VB 39713 6450 17 it -PRON- PRP 39713 6450 18 resurrected resurrect VBN 39713 6450 19 with with IN 39713 6450 20 insignificant insignificant JJ 39713 6450 21 alterations alteration NNS 39713 6450 22 , , , 39713 6450 23 and and CC 39713 6450 24 some some DT 39713 6450 25 of of IN 39713 6450 26 them -PRON- PRP 39713 6450 27 have have VBP 39713 6450 28 already already RB 39713 6450 29 risen rise VBN 39713 6450 30 several several JJ 39713 6450 31 times time NNS 39713 6450 32 from from IN 39713 6450 33 their -PRON- PRP$ 39713 6450 34 ashes ashe NNS 39713 6450 35 . . . 39713 6451 1 Such such JJ 39713 6451 2 long long RB 39713 6451 3 ago ago RB 39713 6451 4 was be VBD 39713 6451 5 the the DT 39713 6451 6 Lernæan Lernæan NNP 39713 6451 7 hydra hydra NN 39713 6451 8 with with IN 39713 6451 9 its -PRON- PRP$ 39713 6451 10 famous famous JJ 39713 6451 11 heads head NNS 39713 6451 12 which which WDT 39713 6451 13 always always RB 39713 6451 14 grew grow VBD 39713 6451 15 again again RB 39713 6451 16 . . . 39713 6452 1 Hercules Hercules NNP 39713 6452 2 got get VBD 39713 6452 3 through through RP 39713 6452 4 , , , 39713 6452 5 since since IN 39713 6452 6 his -PRON- PRP$ 39713 6452 7 hydra hydra NN 39713 6452 8 had have VBD 39713 6452 9 only only RB 39713 6452 10 nine nine CD 39713 6452 11 heads head NNS 39713 6452 12 , , , 39713 6452 13 or or CC 39713 6452 14 eleven eleven CD 39713 6452 15 ; ; : 39713 6452 16 but but CC 39713 6452 17 here here RB 39713 6452 18 there there EX 39713 6452 19 are be VBP 39713 6452 20 too too RB 39713 6452 21 many many JJ 39713 6452 22 , , , 39713 6452 23 some some DT 39713 6452 24 in in IN 39713 6452 25 England England NNP 39713 6452 26 , , , 39713 6452 27 some some DT 39713 6452 28 in in IN 39713 6452 29 Germany Germany NNP 39713 6452 30 , , , 39713 6452 31 in in IN 39713 6452 32 Italy Italy NNP 39713 6452 33 , , , 39713 6452 34 in in IN 39713 6452 35 France France NNP 39713 6452 36 , , , 39713 6452 37 and and CC 39713 6452 38 he -PRON- PRP 39713 6452 39 would would MD 39713 6452 40 have have VB 39713 6452 41 to to TO 39713 6452 42 give give VB 39713 6452 43 up up RP 39713 6452 44 the the DT 39713 6452 45 struggle struggle NN 39713 6452 46 . . . 39713 6453 1 So so RB 39713 6453 2 I -PRON- PRP 39713 6453 3 appeal appeal VBP 39713 6453 4 only only RB 39713 6453 5 to to IN 39713 6453 6 men man NNS 39713 6453 7 of of IN 39713 6453 8 good good JJ 39713 6453 9 judgment judgment NN 39713 6453 10 unprejudiced unprejudiced JJ 39713 6453 11 . . . 39713 6454 1 I -PRON- PRP 39713 6454 2 In in IN 39713 6454 3 these these DT 39713 6454 4 latter latter JJ 39713 6454 5 years year NNS 39713 6454 6 numerous numerous JJ 39713 6454 7 works work NNS 39713 6454 8 have have VBP 39713 6454 9 been be VBN 39713 6454 10 published publish VBN 39713 6454 11 on on IN 39713 6454 12 pure pure JJ 39713 6454 13 mathematics mathematic NNS 39713 6454 14 and and CC 39713 6454 15 the the DT 39713 6454 16 philosophy philosophy NN 39713 6454 17 of of IN 39713 6454 18 mathematics mathematic NNS 39713 6454 19 , , , 39713 6454 20 trying try VBG 39713 6454 21 to to TO 39713 6454 22 separate separate VB 39713 6454 23 and and CC 39713 6454 24 isolate isolate VB 39713 6454 25 the the DT 39713 6454 26 logical logical JJ 39713 6454 27 elements element NNS 39713 6454 28 of of IN 39713 6454 29 mathematical mathematical JJ 39713 6454 30 reasoning reasoning NN 39713 6454 31 . . . 39713 6455 1 These these DT 39713 6455 2 works work NNS 39713 6455 3 have have VBP 39713 6455 4 been be VBN 39713 6455 5 analyzed analyze VBN 39713 6455 6 and and CC 39713 6455 7 expounded expound VBN 39713 6455 8 very very RB 39713 6455 9 clearly clearly RB 39713 6455 10 by by IN 39713 6455 11 M. M. NNP 39713 6455 12 Couturat Couturat NNP 39713 6455 13 in in IN 39713 6455 14 a a DT 39713 6455 15 book book NN 39713 6455 16 entitled entitle VBN 39713 6455 17 : : : 39713 6455 18 _ _ NNP 39713 6455 19 The the DT 39713 6455 20 Principles Principles NNPS 39713 6455 21 of of IN 39713 6455 22 Mathematics Mathematics NNP 39713 6455 23 _ _ NNP 39713 6455 24 . . . 39713 6456 1 For for IN 39713 6456 2 M. M. NNP 39713 6456 3 Couturat Couturat NNP 39713 6456 4 , , , 39713 6456 5 the the DT 39713 6456 6 new new JJ 39713 6456 7 works work NNS 39713 6456 8 , , , 39713 6456 9 and and CC 39713 6456 10 in in IN 39713 6456 11 particular particular JJ 39713 6456 12 those those DT 39713 6456 13 of of IN 39713 6456 14 Russell Russell NNP 39713 6456 15 and and CC 39713 6456 16 Peano Peano NNP 39713 6456 17 , , , 39713 6456 18 have have VBP 39713 6456 19 finally finally RB 39713 6456 20 settled settle VBN 39713 6456 21 the the DT 39713 6456 22 controversy controversy NN 39713 6456 23 , , , 39713 6456 24 so so RB 39713 6456 25 long long RB 39713 6456 26 pending pende VBG 39713 6456 27 between between IN 39713 6456 28 Leibnitz Leibnitz NNP 39713 6456 29 and and CC 39713 6456 30 Kant Kant NNP 39713 6456 31 . . . 39713 6457 1 They -PRON- PRP 39713 6457 2 have have VBP 39713 6457 3 shown show VBN 39713 6457 4 that that IN 39713 6457 5 there there EX 39713 6457 6 are be VBP 39713 6457 7 no no DT 39713 6457 8 synthetic synthetic JJ 39713 6457 9 judgments judgment NNS 39713 6457 10 a a DT 39713 6457 11 priori priori FW 39713 6457 12 ( ( -LRB- 39713 6457 13 Kant Kant NNP 39713 6457 14 's 's POS 39713 6457 15 phrase phrase NN 39713 6457 16 to to TO 39713 6457 17 designate designate VB 39713 6457 18 judgments judgment NNS 39713 6457 19 which which WDT 39713 6457 20 can can MD 39713 6457 21 neither neither CC 39713 6457 22 be be VB 39713 6457 23 demonstrated demonstrate VBN 39713 6457 24 analytically analytically RB 39713 6457 25 , , , 39713 6457 26 nor nor CC 39713 6457 27 reduced reduce VBN 39713 6457 28 to to IN 39713 6457 29 identities identity NNS 39713 6457 30 , , , 39713 6457 31 nor nor CC 39713 6457 32 established establish VBN 39713 6457 33 experimentally experimentally RB 39713 6457 34 ) ) -RRB- 39713 6457 35 , , , 39713 6457 36 they -PRON- PRP 39713 6457 37 have have VBP 39713 6457 38 shown show VBN 39713 6457 39 that that IN 39713 6457 40 mathematics mathematics NN 39713 6457 41 is be VBZ 39713 6457 42 entirely entirely RB 39713 6457 43 reducible reducible JJ 39713 6457 44 to to IN 39713 6457 45 logic logic NN 39713 6457 46 and and CC 39713 6457 47 that that DT 39713 6457 48 intuition intuition NN 39713 6457 49 here here RB 39713 6457 50 plays play VBZ 39713 6457 51 no no DT 39713 6457 52 rôle rôle NN 39713 6457 53 . . . 39713 6458 1 This this DT 39713 6458 2 is be VBZ 39713 6458 3 what what WP 39713 6458 4 M. M. NNP 39713 6458 5 Couturat Couturat NNP 39713 6458 6 has have VBZ 39713 6458 7 set set VBN 39713 6458 8 forth forth RP 39713 6458 9 in in IN 39713 6458 10 the the DT 39713 6458 11 work work NN 39713 6458 12 just just RB 39713 6458 13 cited cite VBD 39713 6458 14 ; ; : 39713 6458 15 this this DT 39713 6458 16 he -PRON- PRP 39713 6458 17 says say VBZ 39713 6458 18 still still RB 39713 6458 19 more more RBR 39713 6458 20 explicitly explicitly RB 39713 6458 21 in in IN 39713 6458 22 his -PRON- PRP$ 39713 6458 23 Kant Kant NNP 39713 6458 24 jubilee jubilee NN 39713 6458 25 discourse discourse NN 39713 6458 26 , , , 39713 6458 27 so so IN 39713 6458 28 that that IN 39713 6458 29 I -PRON- PRP 39713 6458 30 heard hear VBD 39713 6458 31 my -PRON- PRP$ 39713 6458 32 neighbor neighbor NN 39713 6458 33 whisper whisper NN 39713 6458 34 : : : 39713 6458 35 " " `` 39713 6458 36 I -PRON- PRP 39713 6458 37 well well RB 39713 6458 38 see see VBP 39713 6458 39 this this DT 39713 6458 40 is be VBZ 39713 6458 41 the the DT 39713 6458 42 centenary centenary NN 39713 6458 43 of of IN 39713 6458 44 Kant Kant NNP 39713 6458 45 's 's POS 39713 6458 46 _ _ NNP 39713 6458 47 death death NN 39713 6458 48 _ _ NNP 39713 6458 49 . . . 39713 6458 50 " " '' 39713 6459 1 Can Can MD 39713 6459 2 we -PRON- PRP 39713 6459 3 subscribe subscribe VB 39713 6459 4 to to IN 39713 6459 5 this this DT 39713 6459 6 conclusive conclusive JJ 39713 6459 7 condemnation condemnation NN 39713 6459 8 ? ? . 39713 6460 1 I -PRON- PRP 39713 6460 2 think think VBP 39713 6460 3 not not RB 39713 6460 4 , , , 39713 6460 5 and and CC 39713 6460 6 I -PRON- PRP 39713 6460 7 shall shall MD 39713 6460 8 try try VB 39713 6460 9 to to TO 39713 6460 10 show show VB 39713 6460 11 why why WRB 39713 6460 12 . . . 39713 6461 1 II II NNP 39713 6461 2 What what WP 39713 6461 3 strikes strike VBZ 39713 6461 4 us -PRON- PRP 39713 6461 5 first first RB 39713 6461 6 in in IN 39713 6461 7 the the DT 39713 6461 8 new new JJ 39713 6461 9 mathematics mathematic NNS 39713 6461 10 is be VBZ 39713 6461 11 its -PRON- PRP$ 39713 6461 12 purely purely RB 39713 6461 13 formal formal JJ 39713 6461 14 character character NN 39713 6461 15 : : : 39713 6461 16 " " `` 39713 6461 17 We -PRON- PRP 39713 6461 18 think think VBP 39713 6461 19 , , , 39713 6461 20 " " '' 39713 6461 21 says say VBZ 39713 6461 22 Hilbert Hilbert NNP 39713 6461 23 , , , 39713 6461 24 " " `` 39713 6461 25 three three CD 39713 6461 26 sorts sort NNS 39713 6461 27 of of IN 39713 6461 28 _ _ NNP 39713 6461 29 things thing NNS 39713 6461 30 _ _ NNP 39713 6461 31 , , , 39713 6461 32 which which WDT 39713 6461 33 we -PRON- PRP 39713 6461 34 shall shall MD 39713 6461 35 call call VB 39713 6461 36 points point NNS 39713 6461 37 , , , 39713 6461 38 straights straight NNS 39713 6461 39 and and CC 39713 6461 40 planes plane NNS 39713 6461 41 . . . 39713 6462 1 We -PRON- PRP 39713 6462 2 convene convene VBP 39713 6462 3 that that IN 39713 6462 4 a a DT 39713 6462 5 straight straight NN 39713 6462 6 shall shall MD 39713 6462 7 be be VB 39713 6462 8 determined determine VBN 39713 6462 9 by by IN 39713 6462 10 two two CD 39713 6462 11 points point NNS 39713 6462 12 , , , 39713 6462 13 and and CC 39713 6462 14 that that IN 39713 6462 15 in in IN 39713 6462 16 place place NN 39713 6462 17 of of IN 39713 6462 18 saying say VBG 39713 6462 19 this this DT 39713 6462 20 straight straight NN 39713 6462 21 is be VBZ 39713 6462 22 determined determine VBN 39713 6462 23 by by IN 39713 6462 24 these these DT 39713 6462 25 two two CD 39713 6462 26 points point NNS 39713 6462 27 , , , 39713 6462 28 we -PRON- PRP 39713 6462 29 may may MD 39713 6462 30 say say VB 39713 6462 31 it -PRON- PRP 39713 6462 32 passes pass VBZ 39713 6462 33 through through IN 39713 6462 34 these these DT 39713 6462 35 two two CD 39713 6462 36 points point NNS 39713 6462 37 , , , 39713 6462 38 or or CC 39713 6462 39 that that IN 39713 6462 40 these these DT 39713 6462 41 two two CD 39713 6462 42 points point NNS 39713 6462 43 are be VBP 39713 6462 44 situated situate VBN 39713 6462 45 on on IN 39713 6462 46 this this DT 39713 6462 47 straight straight NN 39713 6462 48 . . . 39713 6462 49 " " '' 39713 6463 1 What what WP 39713 6463 2 these these DT 39713 6463 3 _ _ NNP 39713 6463 4 things thing NNS 39713 6463 5 _ _ NNP 39713 6463 6 are be VBP 39713 6463 7 , , , 39713 6463 8 not not RB 39713 6463 9 only only RB 39713 6463 10 we -PRON- PRP 39713 6463 11 do do VBP 39713 6463 12 not not RB 39713 6463 13 know know VB 39713 6463 14 , , , 39713 6463 15 but but CC 39713 6463 16 we -PRON- PRP 39713 6463 17 should should MD 39713 6463 18 not not RB 39713 6463 19 seek seek VB 39713 6463 20 to to TO 39713 6463 21 know know VB 39713 6463 22 . . . 39713 6464 1 We -PRON- PRP 39713 6464 2 have have VBP 39713 6464 3 no no DT 39713 6464 4 need need NN 39713 6464 5 to to TO 39713 6464 6 , , , 39713 6464 7 and and CC 39713 6464 8 one one NN 39713 6464 9 who who WP 39713 6464 10 never never RB 39713 6464 11 had have VBD 39713 6464 12 seen see VBN 39713 6464 13 either either DT 39713 6464 14 point point NN 39713 6464 15 or or CC 39713 6464 16 straight straight JJ 39713 6464 17 or or CC 39713 6464 18 plane plane NN 39713 6464 19 could could MD 39713 6464 20 geometrize geometrize VB 39713 6464 21 as as RB 39713 6464 22 well well RB 39713 6464 23 as as IN 39713 6464 24 we -PRON- PRP 39713 6464 25 . . . 39713 6465 1 That that IN 39713 6465 2 the the DT 39713 6465 3 phrase phrase NN 39713 6465 4 _ _ NNP 39713 6465 5 to to TO 39713 6465 6 pass pass VB 39713 6465 7 through through IN 39713 6465 8 _ _ NNP 39713 6465 9 , , , 39713 6465 10 or or CC 39713 6465 11 the the DT 39713 6465 12 phrase phrase NN 39713 6465 13 _ _ NNP 39713 6465 14 to to TO 39713 6465 15 be be VB 39713 6465 16 situated situate VBN 39713 6465 17 upon upon IN 39713 6465 18 _ _ NNP 39713 6465 19 may may MD 39713 6465 20 arouse arouse VB 39713 6465 21 in in IN 39713 6465 22 us -PRON- PRP 39713 6465 23 no no DT 39713 6465 24 image image NN 39713 6465 25 , , , 39713 6465 26 the the DT 39713 6465 27 first first JJ 39713 6465 28 is be VBZ 39713 6465 29 simply simply RB 39713 6465 30 a a DT 39713 6465 31 synonym synonym NN 39713 6465 32 of of IN 39713 6465 33 to to IN 39713 6465 34 _ _ NNP 39713 6465 35 be be VB 39713 6465 36 determined determine VBN 39713 6465 37 _ _ NNP 39713 6465 38 and and CC 39713 6465 39 the the DT 39713 6465 40 second second JJ 39713 6465 41 of of IN 39713 6465 42 _ _ NNP 39713 6465 43 to to TO 39713 6465 44 determine determine VB 39713 6465 45 _ _ NNP 39713 6465 46 . . . 39713 6466 1 Thus thus RB 39713 6466 2 , , , 39713 6466 3 be be VB 39713 6466 4 it -PRON- PRP 39713 6466 5 understood understand VBN 39713 6466 6 , , , 39713 6466 7 to to TO 39713 6466 8 demonstrate demonstrate VB 39713 6466 9 a a DT 39713 6466 10 theorem theorem NN 39713 6466 11 , , , 39713 6466 12 it -PRON- PRP 39713 6466 13 is be VBZ 39713 6466 14 neither neither CC 39713 6466 15 necessary necessary JJ 39713 6466 16 nor nor CC 39713 6466 17 even even RB 39713 6466 18 advantageous advantageous JJ 39713 6466 19 to to TO 39713 6466 20 know know VB 39713 6466 21 what what WP 39713 6466 22 it -PRON- PRP 39713 6466 23 means mean VBZ 39713 6466 24 . . . 39713 6467 1 The the DT 39713 6467 2 geometer geometer NN 39713 6467 3 might may MD 39713 6467 4 be be VB 39713 6467 5 replaced replace VBN 39713 6467 6 by by IN 39713 6467 7 the the DT 39713 6467 8 _ _ NNP 39713 6467 9 logic logic NN 39713 6467 10 piano piano NN 39713 6467 11 _ _ NNP 39713 6467 12 imagined imagine VBN 39713 6467 13 by by IN 39713 6467 14 Stanley Stanley NNP 39713 6467 15 Jevons Jevons NNPS 39713 6467 16 ; ; : 39713 6467 17 or or CC 39713 6467 18 , , , 39713 6467 19 if if IN 39713 6467 20 you -PRON- PRP 39713 6467 21 choose choose VBP 39713 6467 22 , , , 39713 6467 23 a a DT 39713 6467 24 machine machine NN 39713 6467 25 might may MD 39713 6467 26 be be VB 39713 6467 27 imagined imagine VBN 39713 6467 28 where where WRB 39713 6467 29 the the DT 39713 6467 30 assumptions assumption NNS 39713 6467 31 were be VBD 39713 6467 32 put put VBN 39713 6467 33 in in RP 39713 6467 34 at at IN 39713 6467 35 one one CD 39713 6467 36 end end NN 39713 6467 37 , , , 39713 6467 38 while while IN 39713 6467 39 the the DT 39713 6467 40 theorems theorem NNS 39713 6467 41 came come VBD 39713 6467 42 out out RP 39713 6467 43 at at IN 39713 6467 44 the the DT 39713 6467 45 other other JJ 39713 6467 46 , , , 39713 6467 47 like like IN 39713 6467 48 the the DT 39713 6467 49 legendary legendary JJ 39713 6467 50 Chicago Chicago NNP 39713 6467 51 machine machine NN 39713 6467 52 where where WRB 39713 6467 53 the the DT 39713 6467 54 pigs pig NNS 39713 6467 55 go go VBP 39713 6467 56 in in IN 39713 6467 57 alive alive JJ 39713 6467 58 and and CC 39713 6467 59 come come VB 39713 6467 60 out out RP 39713 6467 61 transformed transform VBN 39713 6467 62 into into IN 39713 6467 63 hams ham NNS 39713 6467 64 and and CC 39713 6467 65 sausages sausage NNS 39713 6467 66 . . . 39713 6468 1 No no DT 39713 6468 2 more more JJR 39713 6468 3 than than IN 39713 6468 4 these these DT 39713 6468 5 machines machine NNS 39713 6468 6 need need VBP 39713 6468 7 the the DT 39713 6468 8 mathematician mathematician NN 39713 6468 9 know know VB 39713 6468 10 what what WP 39713 6468 11 he -PRON- PRP 39713 6468 12 does do VBZ 39713 6468 13 . . . 39713 6469 1 I -PRON- PRP 39713 6469 2 do do VBP 39713 6469 3 not not RB 39713 6469 4 make make VB 39713 6469 5 this this DT 39713 6469 6 formal formal JJ 39713 6469 7 character character NN 39713 6469 8 of of IN 39713 6469 9 his -PRON- PRP$ 39713 6469 10 geometry geometry NN 39713 6469 11 a a DT 39713 6469 12 reproach reproach NN 39713 6469 13 to to IN 39713 6469 14 Hilbert Hilbert NNP 39713 6469 15 . . . 39713 6470 1 This this DT 39713 6470 2 is be VBZ 39713 6470 3 the the DT 39713 6470 4 way way NN 39713 6470 5 he -PRON- PRP 39713 6470 6 should should MD 39713 6470 7 go go VB 39713 6470 8 , , , 39713 6470 9 given give VBN 39713 6470 10 the the DT 39713 6470 11 problem problem NN 39713 6470 12 he -PRON- PRP 39713 6470 13 set set VBD 39713 6470 14 himself -PRON- PRP 39713 6470 15 . . . 39713 6471 1 He -PRON- PRP 39713 6471 2 wished wish VBD 39713 6471 3 to to TO 39713 6471 4 reduce reduce VB 39713 6471 5 to to IN 39713 6471 6 a a DT 39713 6471 7 minimum minimum NN 39713 6471 8 the the DT 39713 6471 9 number number NN 39713 6471 10 of of IN 39713 6471 11 the the DT 39713 6471 12 fundamental fundamental JJ 39713 6471 13 assumptions assumption NNS 39713 6471 14 of of IN 39713 6471 15 geometry geometry NN 39713 6471 16 and and CC 39713 6471 17 completely completely RB 39713 6471 18 enumerate enumerate VB 39713 6471 19 them -PRON- PRP 39713 6471 20 ; ; : 39713 6471 21 now now RB 39713 6471 22 , , , 39713 6471 23 in in IN 39713 6471 24 reasonings reasoning NNS 39713 6471 25 where where WRB 39713 6471 26 our -PRON- PRP$ 39713 6471 27 mind mind NN 39713 6471 28 remains remain VBZ 39713 6471 29 active active JJ 39713 6471 30 , , , 39713 6471 31 in in IN 39713 6471 32 those those DT 39713 6471 33 where where WRB 39713 6471 34 intuition intuition NN 39713 6471 35 still still RB 39713 6471 36 plays play VBZ 39713 6471 37 a a DT 39713 6471 38 part part NN 39713 6471 39 , , , 39713 6471 40 in in IN 39713 6471 41 living live VBG 39713 6471 42 reasonings reasoning NNS 39713 6471 43 , , , 39713 6471 44 so so RB 39713 6471 45 to to TO 39713 6471 46 speak speak VB 39713 6471 47 , , , 39713 6471 48 it -PRON- PRP 39713 6471 49 is be VBZ 39713 6471 50 difficult difficult JJ 39713 6471 51 not not RB 39713 6471 52 to to TO 39713 6471 53 introduce introduce VB 39713 6471 54 an an DT 39713 6471 55 assumption assumption NN 39713 6471 56 or or CC 39713 6471 57 a a DT 39713 6471 58 postulate postulate NN 39713 6471 59 which which WDT 39713 6471 60 passes pass VBZ 39713 6471 61 unperceived unperceive VBN 39713 6471 62 . . . 39713 6472 1 It -PRON- PRP 39713 6472 2 is be VBZ 39713 6472 3 therefore therefore RB 39713 6472 4 only only RB 39713 6472 5 after after IN 39713 6472 6 having have VBG 39713 6472 7 carried carry VBN 39713 6472 8 back back RB 39713 6472 9 all all PDT 39713 6472 10 the the DT 39713 6472 11 geometric geometric JJ 39713 6472 12 reasonings reasoning NNS 39713 6472 13 to to IN 39713 6472 14 a a DT 39713 6472 15 form form NN 39713 6472 16 purely purely RB 39713 6472 17 mechanical mechanical JJ 39713 6472 18 that that IN 39713 6472 19 he -PRON- PRP 39713 6472 20 could could MD 39713 6472 21 be be VB 39713 6472 22 sure sure JJ 39713 6472 23 of of IN 39713 6472 24 having have VBG 39713 6472 25 accomplished accomplish VBN 39713 6472 26 his -PRON- PRP$ 39713 6472 27 design design NN 39713 6472 28 and and CC 39713 6472 29 finished finish VBD 39713 6472 30 his -PRON- PRP$ 39713 6472 31 work work NN 39713 6472 32 . . . 39713 6473 1 What what WP 39713 6473 2 Hilbert Hilbert NNP 39713 6473 3 did do VBD 39713 6473 4 for for IN 39713 6473 5 geometry geometry NN 39713 6473 6 , , , 39713 6473 7 others other NNS 39713 6473 8 have have VBP 39713 6473 9 tried try VBN 39713 6473 10 to to TO 39713 6473 11 do do VB 39713 6473 12 for for IN 39713 6473 13 arithmetic arithmetic JJ 39713 6473 14 and and CC 39713 6473 15 analysis analysis NN 39713 6473 16 . . . 39713 6474 1 Even even RB 39713 6474 2 if if IN 39713 6474 3 they -PRON- PRP 39713 6474 4 had have VBD 39713 6474 5 entirely entirely RB 39713 6474 6 succeeded succeed VBN 39713 6474 7 , , , 39713 6474 8 would would MD 39713 6474 9 the the DT 39713 6474 10 Kantians Kantians NNPS 39713 6474 11 be be VB 39713 6474 12 finally finally RB 39713 6474 13 condemned condemn VBN 39713 6474 14 to to TO 39713 6474 15 silence silence VB 39713 6474 16 ? ? . 39713 6475 1 Perhaps perhaps RB 39713 6475 2 not not RB 39713 6475 3 , , , 39713 6475 4 for for IN 39713 6475 5 in in IN 39713 6475 6 reducing reduce VBG 39713 6475 7 mathematical mathematical JJ 39713 6475 8 thought thought NN 39713 6475 9 to to IN 39713 6475 10 an an DT 39713 6475 11 empty empty JJ 39713 6475 12 form form NN 39713 6475 13 , , , 39713 6475 14 it -PRON- PRP 39713 6475 15 is be VBZ 39713 6475 16 certainly certainly RB 39713 6475 17 mutilated mutilate VBN 39713 6475 18 . . . 39713 6476 1 Even even RB 39713 6476 2 admitting admit VBG 39713 6476 3 it -PRON- PRP 39713 6476 4 were be VBD 39713 6476 5 established establish VBN 39713 6476 6 that that IN 39713 6476 7 all all PDT 39713 6476 8 the the DT 39713 6476 9 theorems theorem NNS 39713 6476 10 could could MD 39713 6476 11 be be VB 39713 6476 12 deduced deduce VBN 39713 6476 13 by by IN 39713 6476 14 procedures procedure NNS 39713 6476 15 purely purely RB 39713 6476 16 analytic analytic JJ 39713 6476 17 , , , 39713 6476 18 by by IN 39713 6476 19 simple simple JJ 39713 6476 20 logical logical JJ 39713 6476 21 combinations combination NNS 39713 6476 22 of of IN 39713 6476 23 a a DT 39713 6476 24 finite finite JJ 39713 6476 25 number number NN 39713 6476 26 of of IN 39713 6476 27 assumptions assumption NNS 39713 6476 28 , , , 39713 6476 29 and and CC 39713 6476 30 that that IN 39713 6476 31 these these DT 39713 6476 32 assumptions assumption NNS 39713 6476 33 are be VBP 39713 6476 34 only only RB 39713 6476 35 conventions convention NNS 39713 6476 36 ; ; : 39713 6476 37 the the DT 39713 6476 38 philosopher philosopher NN 39713 6476 39 would would MD 39713 6476 40 still still RB 39713 6476 41 have have VB 39713 6476 42 the the DT 39713 6476 43 right right NN 39713 6476 44 to to TO 39713 6476 45 investigate investigate VB 39713 6476 46 the the DT 39713 6476 47 origins origin NNS 39713 6476 48 of of IN 39713 6476 49 these these DT 39713 6476 50 conventions convention NNS 39713 6476 51 , , , 39713 6476 52 to to TO 39713 6476 53 see see VB 39713 6476 54 why why WRB 39713 6476 55 they -PRON- PRP 39713 6476 56 have have VBP 39713 6476 57 been be VBN 39713 6476 58 judged judge VBN 39713 6476 59 preferable preferable JJ 39713 6476 60 to to IN 39713 6476 61 the the DT 39713 6476 62 contrary contrary JJ 39713 6476 63 conventions convention NNS 39713 6476 64 . . . 39713 6477 1 And and CC 39713 6477 2 then then RB 39713 6477 3 the the DT 39713 6477 4 logical logical JJ 39713 6477 5 correctness correctness NN 39713 6477 6 of of IN 39713 6477 7 the the DT 39713 6477 8 reasonings reasoning NNS 39713 6477 9 leading lead VBG 39713 6477 10 from from IN 39713 6477 11 the the DT 39713 6477 12 assumptions assumption NNS 39713 6477 13 to to IN 39713 6477 14 the the DT 39713 6477 15 theorems theorem NNS 39713 6477 16 is be VBZ 39713 6477 17 not not RB 39713 6477 18 the the DT 39713 6477 19 only only JJ 39713 6477 20 thing thing NN 39713 6477 21 which which WDT 39713 6477 22 should should MD 39713 6477 23 occupy occupy VB 39713 6477 24 us -PRON- PRP 39713 6477 25 . . . 39713 6478 1 The the DT 39713 6478 2 rules rule NNS 39713 6478 3 of of IN 39713 6478 4 perfect perfect JJ 39713 6478 5 logic logic NN 39713 6478 6 , , , 39713 6478 7 are be VBP 39713 6478 8 they -PRON- PRP 39713 6478 9 the the DT 39713 6478 10 whole whole NN 39713 6478 11 of of IN 39713 6478 12 mathematics mathematic NNS 39713 6478 13 ? ? . 39713 6479 1 As as IN 39713 6479 2 well well RB 39713 6479 3 say say VB 39713 6479 4 the the DT 39713 6479 5 whole whole JJ 39713 6479 6 art art NN 39713 6479 7 of of IN 39713 6479 8 playing play VBG 39713 6479 9 chess chess NN 39713 6479 10 reduces reduce VBZ 39713 6479 11 to to IN 39713 6479 12 the the DT 39713 6479 13 rules rule NNS 39713 6479 14 of of IN 39713 6479 15 the the DT 39713 6479 16 moves move NNS 39713 6479 17 of of IN 39713 6479 18 the the DT 39713 6479 19 pieces piece NNS 39713 6479 20 . . . 39713 6480 1 Among among IN 39713 6480 2 all all PDT 39713 6480 3 the the DT 39713 6480 4 constructs construct NNS 39713 6480 5 which which WDT 39713 6480 6 can can MD 39713 6480 7 be be VB 39713 6480 8 built build VBN 39713 6480 9 up up IN 39713 6480 10 of of IN 39713 6480 11 the the DT 39713 6480 12 materials material NNS 39713 6480 13 furnished furnish VBN 39713 6480 14 by by IN 39713 6480 15 logic logic NN 39713 6480 16 , , , 39713 6480 17 choice choice NN 39713 6480 18 must must MD 39713 6480 19 be be VB 39713 6480 20 made make VBN 39713 6480 21 ; ; : 39713 6480 22 the the DT 39713 6480 23 true true JJ 39713 6480 24 geometer geometer NN 39713 6480 25 makes make VBZ 39713 6480 26 this this DT 39713 6480 27 choice choice NN 39713 6480 28 judiciously judiciously RB 39713 6480 29 because because IN 39713 6480 30 he -PRON- PRP 39713 6480 31 is be VBZ 39713 6480 32 guided guide VBN 39713 6480 33 by by IN 39713 6480 34 a a DT 39713 6480 35 sure sure JJ 39713 6480 36 instinct instinct NN 39713 6480 37 , , , 39713 6480 38 or or CC 39713 6480 39 by by IN 39713 6480 40 some some DT 39713 6480 41 vague vague JJ 39713 6480 42 consciousness consciousness NN 39713 6480 43 of of IN 39713 6480 44 I -PRON- PRP 39713 6480 45 know know VBP 39713 6480 46 not not RB 39713 6480 47 what what WP 39713 6480 48 more more RBR 39713 6480 49 profound profound JJ 39713 6480 50 and and CC 39713 6480 51 more more JJR 39713 6480 52 hidden hide VBN 39713 6480 53 geometry geometry NN 39713 6480 54 , , , 39713 6480 55 which which WDT 39713 6480 56 alone alone RB 39713 6480 57 gives give VBZ 39713 6480 58 value value NN 39713 6480 59 to to IN 39713 6480 60 the the DT 39713 6480 61 edifice edifice NN 39713 6480 62 constructed construct VBN 39713 6480 63 . . . 39713 6481 1 To to TO 39713 6481 2 seek seek VB 39713 6481 3 the the DT 39713 6481 4 origin origin NN 39713 6481 5 of of IN 39713 6481 6 this this DT 39713 6481 7 instinct instinct NN 39713 6481 8 , , , 39713 6481 9 to to TO 39713 6481 10 study study VB 39713 6481 11 the the DT 39713 6481 12 laws law NNS 39713 6481 13 of of IN 39713 6481 14 this this DT 39713 6481 15 deep deep JJ 39713 6481 16 geometry geometry NN 39713 6481 17 , , , 39713 6481 18 felt feel VBD 39713 6481 19 , , , 39713 6481 20 not not RB 39713 6481 21 stated state VBN 39713 6481 22 , , , 39713 6481 23 would would MD 39713 6481 24 also also RB 39713 6481 25 be be VB 39713 6481 26 a a DT 39713 6481 27 fine fine JJ 39713 6481 28 employment employment NN 39713 6481 29 for for IN 39713 6481 30 the the DT 39713 6481 31 philosophers philosopher NNS 39713 6481 32 who who WP 39713 6481 33 do do VBP 39713 6481 34 not not RB 39713 6481 35 want want VB 39713 6481 36 logic logic NN 39713 6481 37 to to TO 39713 6481 38 be be VB 39713 6481 39 all all DT 39713 6481 40 . . . 39713 6482 1 But but CC 39713 6482 2 it -PRON- PRP 39713 6482 3 is be VBZ 39713 6482 4 not not RB 39713 6482 5 at at IN 39713 6482 6 this this DT 39713 6482 7 point point NN 39713 6482 8 of of IN 39713 6482 9 view view NN 39713 6482 10 I -PRON- PRP 39713 6482 11 wish wish VBP 39713 6482 12 to to TO 39713 6482 13 put put VB 39713 6482 14 myself -PRON- PRP 39713 6482 15 , , , 39713 6482 16 it -PRON- PRP 39713 6482 17 is be VBZ 39713 6482 18 not not RB 39713 6482 19 thus thus RB 39713 6482 20 I -PRON- PRP 39713 6482 21 wish wish VBP 39713 6482 22 to to TO 39713 6482 23 consider consider VB 39713 6482 24 the the DT 39713 6482 25 question question NN 39713 6482 26 . . . 39713 6483 1 The the DT 39713 6483 2 instinct instinct NN 39713 6483 3 mentioned mention VBN 39713 6483 4 is be VBZ 39713 6483 5 necessary necessary JJ 39713 6483 6 for for IN 39713 6483 7 the the DT 39713 6483 8 inventor inventor NN 39713 6483 9 , , , 39713 6483 10 but but CC 39713 6483 11 it -PRON- PRP 39713 6483 12 would would MD 39713 6483 13 seem seem VB 39713 6483 14 at at IN 39713 6483 15 first first RB 39713 6483 16 we -PRON- PRP 39713 6483 17 might may MD 39713 6483 18 do do VB 39713 6483 19 without without IN 39713 6483 20 it -PRON- PRP 39713 6483 21 in in IN 39713 6483 22 studying study VBG 39713 6483 23 the the DT 39713 6483 24 science science NN 39713 6483 25 once once RB 39713 6483 26 created create VBD 39713 6483 27 . . . 39713 6484 1 Well well UH 39713 6484 2 , , , 39713 6484 3 what what WP 39713 6484 4 I -PRON- PRP 39713 6484 5 wish wish VBP 39713 6484 6 to to TO 39713 6484 7 investigate investigate VB 39713 6484 8 is be VBZ 39713 6484 9 if if IN 39713 6484 10 it -PRON- PRP 39713 6484 11 be be VB 39713 6484 12 true true JJ 39713 6484 13 that that IN 39713 6484 14 , , , 39713 6484 15 the the DT 39713 6484 16 principles principle NNS 39713 6484 17 of of IN 39713 6484 18 logic logic NN 39713 6484 19 once once RB 39713 6484 20 admitted admit VBD 39713 6484 21 , , , 39713 6484 22 one one PRP 39713 6484 23 can can MD 39713 6484 24 , , , 39713 6484 25 I -PRON- PRP 39713 6484 26 do do VBP 39713 6484 27 not not RB 39713 6484 28 say say VB 39713 6484 29 discover discover VB 39713 6484 30 , , , 39713 6484 31 but but CC 39713 6484 32 demonstrate demonstrate VB 39713 6484 33 , , , 39713 6484 34 all all PDT 39713 6484 35 the the DT 39713 6484 36 mathematical mathematical JJ 39713 6484 37 verities verity NNS 39713 6484 38 without without IN 39713 6484 39 making make VBG 39713 6484 40 a a DT 39713 6484 41 new new JJ 39713 6484 42 appeal appeal NN 39713 6484 43 to to IN 39713 6484 44 intuition intuition NN 39713 6484 45 . . . 39713 6485 1 III III NNP 39713 6485 2 I -PRON- PRP 39713 6485 3 once once RB 39713 6485 4 said say VBD 39713 6485 5 no no UH 39713 6485 6 to to IN 39713 6485 7 this this DT 39713 6485 8 question:[12 question:[12 , 39713 6485 9 ] ] -RRB- 39713 6485 10 should should MD 39713 6485 11 our -PRON- PRP$ 39713 6485 12 reply reply NN 39713 6485 13 be be VB 39713 6485 14 modified modify VBN 39713 6485 15 by by IN 39713 6485 16 the the DT 39713 6485 17 recent recent JJ 39713 6485 18 works work NNS 39713 6485 19 ? ? . 39713 6486 1 My -PRON- PRP$ 39713 6486 2 saying say VBG 39713 6486 3 no no UH 39713 6486 4 was be VBD 39713 6486 5 because because IN 39713 6486 6 " " `` 39713 6486 7 the the DT 39713 6486 8 principle principle NN 39713 6486 9 of of IN 39713 6486 10 complete complete JJ 39713 6486 11 induction induction NN 39713 6486 12 " " '' 39713 6486 13 seemed seem VBD 39713 6486 14 to to IN 39713 6486 15 me -PRON- PRP 39713 6486 16 at at IN 39713 6486 17 once once RB 39713 6486 18 necessary necessary JJ 39713 6486 19 to to IN 39713 6486 20 the the DT 39713 6486 21 mathematician mathematician JJ 39713 6486 22 and and CC 39713 6486 23 irreducible irreducible JJ 39713 6486 24 to to TO 39713 6486 25 logic logic VB 39713 6486 26 . . . 39713 6487 1 The the DT 39713 6487 2 statement statement NN 39713 6487 3 of of IN 39713 6487 4 this this DT 39713 6487 5 principle principle NN 39713 6487 6 is be VBZ 39713 6487 7 : : : 39713 6487 8 " " `` 39713 6487 9 If if IN 39713 6487 10 a a DT 39713 6487 11 property property NN 39713 6487 12 be be VB 39713 6487 13 true true JJ 39713 6487 14 of of IN 39713 6487 15 the the DT 39713 6487 16 number number NN 39713 6487 17 1 1 CD 39713 6487 18 , , , 39713 6487 19 and and CC 39713 6487 20 if if IN 39713 6487 21 we -PRON- PRP 39713 6487 22 establish establish VBP 39713 6487 23 that that IN 39713 6487 24 it -PRON- PRP 39713 6487 25 is be VBZ 39713 6487 26 true true JJ 39713 6487 27 of of IN 39713 6487 28 _ _ NNP 39713 6487 29 n n CC 39713 6487 30 _ _ NNP 39713 6487 31 + + SYM 39713 6487 32 1 1 CD 39713 6487 33 provided provide VBD 39713 6487 34 it -PRON- PRP 39713 6487 35 be be VB 39713 6487 36 of of IN 39713 6487 37 _ _ NNP 39713 6487 38 n n CC 39713 6487 39 _ _ NNP 39713 6487 40 , , , 39713 6487 41 it -PRON- PRP 39713 6487 42 will will MD 39713 6487 43 be be VB 39713 6487 44 true true JJ 39713 6487 45 of of IN 39713 6487 46 all all PDT 39713 6487 47 the the DT 39713 6487 48 whole whole JJ 39713 6487 49 numbers number NNS 39713 6487 50 . . . 39713 6487 51 " " '' 39713 6488 1 Therein therein RB 39713 6488 2 I -PRON- PRP 39713 6488 3 see see VBP 39713 6488 4 the the DT 39713 6488 5 mathematical mathematical JJ 39713 6488 6 reasoning reasoning NN 39713 6488 7 par par NNP 39713 6488 8 excellence excellence NN 39713 6488 9 . . . 39713 6489 1 I -PRON- PRP 39713 6489 2 did do VBD 39713 6489 3 not not RB 39713 6489 4 mean mean VB 39713 6489 5 to to TO 39713 6489 6 say say VB 39713 6489 7 , , , 39713 6489 8 as as IN 39713 6489 9 has have VBZ 39713 6489 10 been be VBN 39713 6489 11 supposed suppose VBN 39713 6489 12 , , , 39713 6489 13 that that IN 39713 6489 14 all all DT 39713 6489 15 mathematical mathematical JJ 39713 6489 16 reasonings reasoning NNS 39713 6489 17 can can MD 39713 6489 18 be be VB 39713 6489 19 reduced reduce VBN 39713 6489 20 to to IN 39713 6489 21 an an DT 39713 6489 22 application application NN 39713 6489 23 of of IN 39713 6489 24 this this DT 39713 6489 25 principle principle NN 39713 6489 26 . . . 39713 6490 1 Examining examine VBG 39713 6490 2 these these DT 39713 6490 3 reasonings reasoning NNS 39713 6490 4 closely closely RB 39713 6490 5 , , , 39713 6490 6 we -PRON- PRP 39713 6490 7 there there EX 39713 6490 8 should should MD 39713 6490 9 see see VB 39713 6490 10 applied apply VBD 39713 6490 11 many many JJ 39713 6490 12 other other JJ 39713 6490 13 analogous analogous JJ 39713 6490 14 principles principle NNS 39713 6490 15 , , , 39713 6490 16 presenting present VBG 39713 6490 17 the the DT 39713 6490 18 same same JJ 39713 6490 19 essential essential JJ 39713 6490 20 characteristics characteristic NNS 39713 6490 21 . . . 39713 6491 1 In in IN 39713 6491 2 this this DT 39713 6491 3 category category NN 39713 6491 4 of of IN 39713 6491 5 principles principle NNS 39713 6491 6 , , , 39713 6491 7 that that DT 39713 6491 8 of of IN 39713 6491 9 complete complete JJ 39713 6491 10 induction induction NN 39713 6491 11 is be VBZ 39713 6491 12 only only RB 39713 6491 13 the the DT 39713 6491 14 simplest simple JJS 39713 6491 15 of of IN 39713 6491 16 all all DT 39713 6491 17 and and CC 39713 6491 18 this this DT 39713 6491 19 is be VBZ 39713 6491 20 why why WRB 39713 6491 21 I -PRON- PRP 39713 6491 22 have have VBP 39713 6491 23 chosen choose VBN 39713 6491 24 it -PRON- PRP 39713 6491 25 as as IN 39713 6491 26 type type NN 39713 6491 27 . . . 39713 6492 1 [ [ -LRB- 39713 6492 2 12 12 CD 39713 6492 3 ] ] -RRB- 39713 6492 4 See see VB 39713 6492 5 _ _ NNP 39713 6492 6 Science Science NNP 39713 6492 7 and and CC 39713 6492 8 Hypothesis Hypothesis NNP 39713 6492 9 _ _ NNP 39713 6492 10 , , , 39713 6492 11 chapter chapter NN 39713 6492 12 I. I. NNP 39713 6493 1 The the DT 39713 6493 2 current current JJ 39713 6493 3 name name NN 39713 6493 4 , , , 39713 6493 5 principle principle NN 39713 6493 6 of of IN 39713 6493 7 complete complete JJ 39713 6493 8 induction induction NN 39713 6493 9 , , , 39713 6493 10 is be VBZ 39713 6493 11 not not RB 39713 6493 12 justified justify VBN 39713 6493 13 . . . 39713 6494 1 This this DT 39713 6494 2 mode mode NN 39713 6494 3 of of IN 39713 6494 4 reasoning reasoning NN 39713 6494 5 is be VBZ 39713 6494 6 none none NN 39713 6494 7 the the DT 39713 6494 8 less less RBR 39713 6494 9 a a DT 39713 6494 10 true true JJ 39713 6494 11 mathematical mathematical JJ 39713 6494 12 induction induction NN 39713 6494 13 which which WDT 39713 6494 14 differs differ VBZ 39713 6494 15 from from IN 39713 6494 16 ordinary ordinary JJ 39713 6494 17 induction induction NN 39713 6494 18 only only RB 39713 6494 19 by by IN 39713 6494 20 its -PRON- PRP$ 39713 6494 21 certitude certitude NN 39713 6494 22 . . . 39713 6495 1 IV IV NNP 39713 6495 2 DEFINITIONS definition NNS 39713 6495 3 AND and CC 39713 6495 4 ASSUMPTIONS assumption VBZ 39713 6495 5 The the DT 39713 6495 6 existence existence NN 39713 6495 7 of of IN 39713 6495 8 such such JJ 39713 6495 9 principles principle NNS 39713 6495 10 is be VBZ 39713 6495 11 a a DT 39713 6495 12 difficulty difficulty NN 39713 6495 13 for for IN 39713 6495 14 the the DT 39713 6495 15 uncompromising uncompromising JJ 39713 6495 16 logicians logicians NNPS 39713 6495 17 ; ; : 39713 6495 18 how how WRB 39713 6495 19 do do VBP 39713 6495 20 they -PRON- PRP 39713 6495 21 pretend pretend VB 39713 6495 22 to to TO 39713 6495 23 get get VB 39713 6495 24 out out IN 39713 6495 25 of of IN 39713 6495 26 it -PRON- PRP 39713 6495 27 ? ? . 39713 6496 1 The the DT 39713 6496 2 principle principle NN 39713 6496 3 of of IN 39713 6496 4 complete complete JJ 39713 6496 5 induction induction NN 39713 6496 6 , , , 39713 6496 7 they -PRON- PRP 39713 6496 8 say say VBP 39713 6496 9 , , , 39713 6496 10 is be VBZ 39713 6496 11 not not RB 39713 6496 12 an an DT 39713 6496 13 assumption assumption NN 39713 6496 14 properly properly RB 39713 6496 15 so so RB 39713 6496 16 called call VBD 39713 6496 17 or or CC 39713 6496 18 a a DT 39713 6496 19 synthetic synthetic JJ 39713 6496 20 judgment judgment NN 39713 6496 21 _ _ NNP 39713 6496 22 a a DT 39713 6496 23 priori priori FW 39713 6496 24 _ _ NNP 39713 6496 25 ; ; : 39713 6496 26 it -PRON- PRP 39713 6496 27 is be VBZ 39713 6496 28 just just RB 39713 6496 29 simply simply RB 39713 6496 30 the the DT 39713 6496 31 definition definition NN 39713 6496 32 of of IN 39713 6496 33 whole whole JJ 39713 6496 34 number number NN 39713 6496 35 . . . 39713 6497 1 It -PRON- PRP 39713 6497 2 is be VBZ 39713 6497 3 therefore therefore RB 39713 6497 4 a a DT 39713 6497 5 simple simple JJ 39713 6497 6 convention convention NN 39713 6497 7 . . . 39713 6498 1 To to TO 39713 6498 2 discuss discuss VB 39713 6498 3 this this DT 39713 6498 4 way way NN 39713 6498 5 of of IN 39713 6498 6 looking look VBG 39713 6498 7 at at IN 39713 6498 8 it -PRON- PRP 39713 6498 9 , , , 39713 6498 10 we -PRON- PRP 39713 6498 11 must must MD 39713 6498 12 examine examine VB 39713 6498 13 a a DT 39713 6498 14 little little JJ 39713 6498 15 closely closely RB 39713 6498 16 the the DT 39713 6498 17 relations relation NNS 39713 6498 18 between between IN 39713 6498 19 definitions definition NNS 39713 6498 20 and and CC 39713 6498 21 assumptions assumption NNS 39713 6498 22 . . . 39713 6499 1 Let let VB 39713 6499 2 us -PRON- PRP 39713 6499 3 go go VB 39713 6499 4 back back RB 39713 6499 5 first first RB 39713 6499 6 to to IN 39713 6499 7 an an DT 39713 6499 8 article article NN 39713 6499 9 by by IN 39713 6499 10 M. M. NNP 39713 6499 11 Couturat Couturat NNP 39713 6499 12 on on IN 39713 6499 13 mathematical mathematical JJ 39713 6499 14 definitions definition NNS 39713 6499 15 which which WDT 39713 6499 16 appeared appear VBD 39713 6499 17 in in IN 39713 6499 18 _ _ NNP 39713 6499 19 l'Enseignement l'Enseignement NNP 39713 6499 20 mathématique mathématique NN 39713 6499 21 _ _ NNP 39713 6499 22 , , , 39713 6499 23 a a DT 39713 6499 24 magazine magazine NN 39713 6499 25 published publish VBN 39713 6499 26 by by IN 39713 6499 27 Gauthier Gauthier NNP 39713 6499 28 - - HYPH 39713 6499 29 Villars Villars NNPS 39713 6499 30 and and CC 39713 6499 31 by by IN 39713 6499 32 Georg Georg NNP 39713 6499 33 at at IN 39713 6499 34 Geneva Geneva NNP 39713 6499 35 . . . 39713 6500 1 We -PRON- PRP 39713 6500 2 shall shall MD 39713 6500 3 see see VB 39713 6500 4 there there RB 39713 6500 5 a a DT 39713 6500 6 distinction distinction NN 39713 6500 7 between between IN 39713 6500 8 the the DT 39713 6500 9 _ _ NNP 39713 6500 10 direct direct JJ 39713 6500 11 definition definition NN 39713 6500 12 and and CC 39713 6500 13 the the DT 39713 6500 14 definition definition NN 39713 6500 15 by by IN 39713 6500 16 postulates postulates NNP 39713 6500 17 _ _ NNP 39713 6500 18 . . . 39713 6501 1 " " `` 39713 6501 2 The the DT 39713 6501 3 definition definition NN 39713 6501 4 by by IN 39713 6501 5 postulates postulate NNS 39713 6501 6 , , , 39713 6501 7 " " '' 39713 6501 8 says say VBZ 39713 6501 9 M. M. NNP 39713 6501 10 Couturat Couturat NNP 39713 6501 11 , , , 39713 6501 12 " " '' 39713 6501 13 applies apply VBZ 39713 6501 14 not not RB 39713 6501 15 to to IN 39713 6501 16 a a DT 39713 6501 17 single single JJ 39713 6501 18 notion notion NN 39713 6501 19 , , , 39713 6501 20 but but CC 39713 6501 21 to to IN 39713 6501 22 a a DT 39713 6501 23 system system NN 39713 6501 24 of of IN 39713 6501 25 notions notion NNS 39713 6501 26 ; ; : 39713 6501 27 it -PRON- PRP 39713 6501 28 consists consist VBZ 39713 6501 29 in in IN 39713 6501 30 enumerating enumerate VBG 39713 6501 31 the the DT 39713 6501 32 fundamental fundamental JJ 39713 6501 33 relations relation NNS 39713 6501 34 which which WDT 39713 6501 35 unite unite VBP 39713 6501 36 them -PRON- PRP 39713 6501 37 and and CC 39713 6501 38 which which WDT 39713 6501 39 enable enable VBP 39713 6501 40 us -PRON- PRP 39713 6501 41 to to TO 39713 6501 42 demonstrate demonstrate VB 39713 6501 43 all all PDT 39713 6501 44 their -PRON- PRP$ 39713 6501 45 other other JJ 39713 6501 46 properties property NNS 39713 6501 47 ; ; : 39713 6501 48 these these DT 39713 6501 49 relations relation NNS 39713 6501 50 are be VBP 39713 6501 51 postulates postulate NNS 39713 6501 52 . . . 39713 6501 53 " " '' 39713 6502 1 If if IN 39713 6502 2 previously previously RB 39713 6502 3 have have VBP 39713 6502 4 been be VBN 39713 6502 5 defined define VBN 39713 6502 6 all all PDT 39713 6502 7 these these DT 39713 6502 8 notions notion NNS 39713 6502 9 but but CC 39713 6502 10 one one CD 39713 6502 11 , , , 39713 6502 12 then then RB 39713 6502 13 this this DT 39713 6502 14 last last NN 39713 6502 15 will will MD 39713 6502 16 be be VB 39713 6502 17 by by IN 39713 6502 18 definition definition NN 39713 6502 19 the the DT 39713 6502 20 thing thing NN 39713 6502 21 which which WDT 39713 6502 22 verifies verify VBZ 39713 6502 23 these these DT 39713 6502 24 postulates postulate NNS 39713 6502 25 . . . 39713 6503 1 Thus thus RB 39713 6503 2 certain certain JJ 39713 6503 3 indemonstrable indemonstrable JJ 39713 6503 4 assumptions assumption NNS 39713 6503 5 of of IN 39713 6503 6 mathematics mathematic NNS 39713 6503 7 would would MD 39713 6503 8 be be VB 39713 6503 9 only only RB 39713 6503 10 disguised disguised JJ 39713 6503 11 definitions definition NNS 39713 6503 12 . . . 39713 6504 1 This this DT 39713 6504 2 point point NN 39713 6504 3 of of IN 39713 6504 4 view view NN 39713 6504 5 is be VBZ 39713 6504 6 often often RB 39713 6504 7 legitimate legitimate JJ 39713 6504 8 ; ; : 39713 6504 9 and and CC 39713 6504 10 I -PRON- PRP 39713 6504 11 have have VBP 39713 6504 12 myself -PRON- PRP 39713 6504 13 admitted admit VBN 39713 6504 14 it -PRON- PRP 39713 6504 15 in in IN 39713 6504 16 regard regard NN 39713 6504 17 for for IN 39713 6504 18 instance instance NN 39713 6504 19 to to IN 39713 6504 20 Euclid Euclid NNP 39713 6504 21 's 's POS 39713 6504 22 postulate postulate NN 39713 6504 23 . . . 39713 6505 1 The the DT 39713 6505 2 other other JJ 39713 6505 3 assumptions assumption NNS 39713 6505 4 of of IN 39713 6505 5 geometry geometry NN 39713 6505 6 do do VBP 39713 6505 7 not not RB 39713 6505 8 suffice suffice VB 39713 6505 9 to to TO 39713 6505 10 completely completely RB 39713 6505 11 define define VB 39713 6505 12 distance distance NN 39713 6505 13 ; ; : 39713 6505 14 the the DT 39713 6505 15 distance distance NN 39713 6505 16 then then RB 39713 6505 17 will will MD 39713 6505 18 be be VB 39713 6505 19 , , , 39713 6505 20 by by IN 39713 6505 21 definition definition NN 39713 6505 22 , , , 39713 6505 23 among among IN 39713 6505 24 all all PDT 39713 6505 25 the the DT 39713 6505 26 magnitudes magnitude NNS 39713 6505 27 which which WDT 39713 6505 28 satisfy satisfy VBP 39713 6505 29 these these DT 39713 6505 30 other other JJ 39713 6505 31 assumptions assumption NNS 39713 6505 32 , , , 39713 6505 33 that that WDT 39713 6505 34 which which WDT 39713 6505 35 is be VBZ 39713 6505 36 such such JJ 39713 6505 37 as as IN 39713 6505 38 to to TO 39713 6505 39 make make VB 39713 6505 40 Euclid Euclid NNP 39713 6505 41 's 's POS 39713 6505 42 postulate postulate NN 39713 6505 43 true true JJ 39713 6505 44 . . . 39713 6506 1 Well well UH 39713 6506 2 the the DT 39713 6506 3 logicians logicians NNPS 39713 6506 4 suppose suppose VBP 39713 6506 5 true true JJ 39713 6506 6 for for IN 39713 6506 7 the the DT 39713 6506 8 principle principle NN 39713 6506 9 of of IN 39713 6506 10 complete complete JJ 39713 6506 11 induction induction NN 39713 6506 12 what what WP 39713 6506 13 I -PRON- PRP 39713 6506 14 admit admit VBP 39713 6506 15 for for IN 39713 6506 16 Euclid Euclid NNP 39713 6506 17 's 's POS 39713 6506 18 postulate postulate NN 39713 6506 19 ; ; : 39713 6506 20 they -PRON- PRP 39713 6506 21 want want VBP 39713 6506 22 to to TO 39713 6506 23 see see VB 39713 6506 24 in in IN 39713 6506 25 it -PRON- PRP 39713 6506 26 only only RB 39713 6506 27 a a DT 39713 6506 28 disguised disguised JJ 39713 6506 29 definition definition NN 39713 6506 30 . . . 39713 6507 1 But but CC 39713 6507 2 to to TO 39713 6507 3 give give VB 39713 6507 4 them -PRON- PRP 39713 6507 5 this this DT 39713 6507 6 right right NN 39713 6507 7 , , , 39713 6507 8 two two CD 39713 6507 9 conditions condition NNS 39713 6507 10 must must MD 39713 6507 11 be be VB 39713 6507 12 fulfilled fulfil VBN 39713 6507 13 . . . 39713 6508 1 Stuart Stuart NNP 39713 6508 2 Mill Mill NNP 39713 6508 3 says say VBZ 39713 6508 4 every every DT 39713 6508 5 definition definition NN 39713 6508 6 implies imply VBZ 39713 6508 7 an an DT 39713 6508 8 assumption assumption NN 39713 6508 9 , , , 39713 6508 10 that that IN 39713 6508 11 by by IN 39713 6508 12 which which WDT 39713 6508 13 the the DT 39713 6508 14 existence existence NN 39713 6508 15 of of IN 39713 6508 16 the the DT 39713 6508 17 defined define VBN 39713 6508 18 object object NN 39713 6508 19 is be VBZ 39713 6508 20 affirmed affirm VBN 39713 6508 21 . . . 39713 6509 1 According accord VBG 39713 6509 2 to to IN 39713 6509 3 that that DT 39713 6509 4 , , , 39713 6509 5 it -PRON- PRP 39713 6509 6 would would MD 39713 6509 7 no no RB 39713 6509 8 longer longer RB 39713 6509 9 be be VB 39713 6509 10 the the DT 39713 6509 11 assumption assumption NN 39713 6509 12 which which WDT 39713 6509 13 might may MD 39713 6509 14 be be VB 39713 6509 15 a a DT 39713 6509 16 disguised disguised JJ 39713 6509 17 definition definition NN 39713 6509 18 , , , 39713 6509 19 it -PRON- PRP 39713 6509 20 would would MD 39713 6509 21 on on IN 39713 6509 22 the the DT 39713 6509 23 contrary contrary NN 39713 6509 24 be be VB 39713 6509 25 the the DT 39713 6509 26 definition definition NN 39713 6509 27 which which WDT 39713 6509 28 would would MD 39713 6509 29 be be VB 39713 6509 30 a a DT 39713 6509 31 disguised disguised JJ 39713 6509 32 assumption assumption NN 39713 6509 33 . . . 39713 6510 1 Stuart Stuart NNP 39713 6510 2 Mill Mill NNP 39713 6510 3 meant mean VBD 39713 6510 4 the the DT 39713 6510 5 word word NN 39713 6510 6 existence existence NN 39713 6510 7 in in IN 39713 6510 8 a a DT 39713 6510 9 material material JJ 39713 6510 10 and and CC 39713 6510 11 empirical empirical JJ 39713 6510 12 sense sense NN 39713 6510 13 ; ; : 39713 6510 14 he -PRON- PRP 39713 6510 15 meant mean VBD 39713 6510 16 to to TO 39713 6510 17 say say VB 39713 6510 18 that that IN 39713 6510 19 in in IN 39713 6510 20 defining define VBG 39713 6510 21 the the DT 39713 6510 22 circle circle NN 39713 6510 23 we -PRON- PRP 39713 6510 24 affirm affirm VBP 39713 6510 25 there there EX 39713 6510 26 are be VBP 39713 6510 27 round round JJ 39713 6510 28 things thing NNS 39713 6510 29 in in IN 39713 6510 30 nature nature NN 39713 6510 31 . . . 39713 6511 1 Under under IN 39713 6511 2 this this DT 39713 6511 3 form form NN 39713 6511 4 , , , 39713 6511 5 his -PRON- PRP$ 39713 6511 6 opinion opinion NN 39713 6511 7 is be VBZ 39713 6511 8 inadmissible inadmissible JJ 39713 6511 9 . . . 39713 6512 1 Mathematics mathematic NNS 39713 6512 2 is be VBZ 39713 6512 3 independent independent JJ 39713 6512 4 of of IN 39713 6512 5 the the DT 39713 6512 6 existence existence NN 39713 6512 7 of of IN 39713 6512 8 material material JJ 39713 6512 9 objects object NNS 39713 6512 10 ; ; : 39713 6512 11 in in IN 39713 6512 12 mathematics mathematic NNS 39713 6512 13 the the DT 39713 6512 14 word word NN 39713 6512 15 exist exist VBP 39713 6512 16 can can MD 39713 6512 17 have have VB 39713 6512 18 only only RB 39713 6512 19 one one CD 39713 6512 20 meaning meaning NN 39713 6512 21 , , , 39713 6512 22 it -PRON- PRP 39713 6512 23 means mean VBZ 39713 6512 24 free free JJ 39713 6512 25 from from IN 39713 6512 26 contradiction contradiction NN 39713 6512 27 . . . 39713 6513 1 Thus thus RB 39713 6513 2 rectified rectified JJ 39713 6513 3 , , , 39713 6513 4 Stuart Stuart NNP 39713 6513 5 Mill Mill NNP 39713 6513 6 's 's POS 39713 6513 7 thought thought NN 39713 6513 8 becomes become VBZ 39713 6513 9 exact exact JJ 39713 6513 10 ; ; : 39713 6513 11 in in IN 39713 6513 12 defining define VBG 39713 6513 13 a a DT 39713 6513 14 thing thing NN 39713 6513 15 , , , 39713 6513 16 we -PRON- PRP 39713 6513 17 affirm affirm VBP 39713 6513 18 that that IN 39713 6513 19 the the DT 39713 6513 20 definition definition NN 39713 6513 21 implies imply VBZ 39713 6513 22 no no DT 39713 6513 23 contradiction contradiction NN 39713 6513 24 . . . 39713 6514 1 If if IN 39713 6514 2 therefore therefore RB 39713 6514 3 we -PRON- PRP 39713 6514 4 have have VBP 39713 6514 5 a a DT 39713 6514 6 system system NN 39713 6514 7 of of IN 39713 6514 8 postulates postulate NNS 39713 6514 9 , , , 39713 6514 10 and and CC 39713 6514 11 if if IN 39713 6514 12 we -PRON- PRP 39713 6514 13 can can MD 39713 6514 14 demonstrate demonstrate VB 39713 6514 15 that that IN 39713 6514 16 these these DT 39713 6514 17 postulates postulate NNS 39713 6514 18 imply imply VBP 39713 6514 19 no no DT 39713 6514 20 contradiction contradiction NN 39713 6514 21 , , , 39713 6514 22 we -PRON- PRP 39713 6514 23 shall shall MD 39713 6514 24 have have VB 39713 6514 25 the the DT 39713 6514 26 right right NN 39713 6514 27 to to TO 39713 6514 28 consider consider VB 39713 6514 29 them -PRON- PRP 39713 6514 30 as as IN 39713 6514 31 representing represent VBG 39713 6514 32 the the DT 39713 6514 33 definition definition NN 39713 6514 34 of of IN 39713 6514 35 one one CD 39713 6514 36 of of IN 39713 6514 37 the the DT 39713 6514 38 notions notion NNS 39713 6514 39 entering enter VBG 39713 6514 40 therein therein RB 39713 6514 41 . . . 39713 6515 1 If if IN 39713 6515 2 we -PRON- PRP 39713 6515 3 can can MD 39713 6515 4 not not RB 39713 6515 5 demonstrate demonstrate VB 39713 6515 6 that that DT 39713 6515 7 , , , 39713 6515 8 it -PRON- PRP 39713 6515 9 must must MD 39713 6515 10 be be VB 39713 6515 11 admitted admit VBN 39713 6515 12 without without IN 39713 6515 13 proof proof NN 39713 6515 14 , , , 39713 6515 15 and and CC 39713 6515 16 that that IN 39713 6515 17 then then RB 39713 6515 18 will will MD 39713 6515 19 be be VB 39713 6515 20 an an DT 39713 6515 21 assumption assumption NN 39713 6515 22 ; ; : 39713 6515 23 so so IN 39713 6515 24 that that IN 39713 6515 25 , , , 39713 6515 26 seeking seek VBG 39713 6515 27 the the DT 39713 6515 28 definition definition NN 39713 6515 29 under under IN 39713 6515 30 the the DT 39713 6515 31 postulate postulate NN 39713 6515 32 , , , 39713 6515 33 we -PRON- PRP 39713 6515 34 should should MD 39713 6515 35 find find VB 39713 6515 36 the the DT 39713 6515 37 assumption assumption NN 39713 6515 38 under under IN 39713 6515 39 the the DT 39713 6515 40 definition definition NN 39713 6515 41 . . . 39713 6516 1 Usually usually RB 39713 6516 2 , , , 39713 6516 3 to to TO 39713 6516 4 show show VB 39713 6516 5 that that IN 39713 6516 6 a a DT 39713 6516 7 definition definition NN 39713 6516 8 implies imply VBZ 39713 6516 9 no no DT 39713 6516 10 contradiction contradiction NN 39713 6516 11 , , , 39713 6516 12 we -PRON- PRP 39713 6516 13 proceed proceed VBP 39713 6516 14 by by IN 39713 6516 15 _ _ NNP 39713 6516 16 example example NN 39713 6516 17 _ _ NNP 39713 6516 18 , , , 39713 6516 19 we -PRON- PRP 39713 6516 20 try try VBP 39713 6516 21 to to TO 39713 6516 22 make make VB 39713 6516 23 an an DT 39713 6516 24 example example NN 39713 6516 25 of of IN 39713 6516 26 a a DT 39713 6516 27 thing thing NN 39713 6516 28 satisfying satisfy VBG 39713 6516 29 the the DT 39713 6516 30 definition definition NN 39713 6516 31 . . . 39713 6517 1 Take take VB 39713 6517 2 the the DT 39713 6517 3 case case NN 39713 6517 4 of of IN 39713 6517 5 a a DT 39713 6517 6 definition definition NN 39713 6517 7 by by IN 39713 6517 8 postulates postulate NNS 39713 6517 9 ; ; : 39713 6517 10 we -PRON- PRP 39713 6517 11 wish wish VBP 39713 6517 12 to to TO 39713 6517 13 define define VB 39713 6517 14 a a DT 39713 6517 15 notion notion NN 39713 6517 16 _ _ NNP 39713 6517 17 A A NNP 39713 6517 18 _ _ NNP 39713 6517 19 , , , 39713 6517 20 and and CC 39713 6517 21 we -PRON- PRP 39713 6517 22 say say VBP 39713 6517 23 that that IN 39713 6517 24 , , , 39713 6517 25 by by IN 39713 6517 26 definition definition NN 39713 6517 27 , , , 39713 6517 28 an an DT 39713 6517 29 _ _ NNP 39713 6517 30 A A NNP 39713 6517 31 _ _ NNP 39713 6517 32 is be VBZ 39713 6517 33 anything anything NN 39713 6517 34 for for IN 39713 6517 35 which which WDT 39713 6517 36 certain certain JJ 39713 6517 37 postulates postulate NNS 39713 6517 38 are be VBP 39713 6517 39 true true JJ 39713 6517 40 . . . 39713 6518 1 If if IN 39713 6518 2 we -PRON- PRP 39713 6518 3 can can MD 39713 6518 4 prove prove VB 39713 6518 5 directly directly RB 39713 6518 6 that that IN 39713 6518 7 all all PDT 39713 6518 8 these these DT 39713 6518 9 postulates postulate NNS 39713 6518 10 are be VBP 39713 6518 11 true true JJ 39713 6518 12 of of IN 39713 6518 13 a a DT 39713 6518 14 certain certain JJ 39713 6518 15 object object NN 39713 6518 16 _ _ NNP 39713 6518 17 B B NNP 39713 6518 18 _ _ NNP 39713 6518 19 , , , 39713 6518 20 the the DT 39713 6518 21 definition definition NN 39713 6518 22 will will MD 39713 6518 23 be be VB 39713 6518 24 justified justify VBN 39713 6518 25 ; ; : 39713 6518 26 the the DT 39713 6518 27 object object NN 39713 6518 28 _ _ NNP 39713 6518 29 B B NNP 39713 6518 30 _ _ NNP 39713 6518 31 will will MD 39713 6518 32 be be VB 39713 6518 33 an an DT 39713 6518 34 _ _ NNP 39713 6518 35 example example NN 39713 6518 36 _ _ NNP 39713 6518 37 of of IN 39713 6518 38 an an DT 39713 6518 39 _ _ NNP 39713 6518 40 A A NNP 39713 6518 41 _ _ NNP 39713 6518 42 . . . 39713 6519 1 We -PRON- PRP 39713 6519 2 shall shall MD 39713 6519 3 be be VB 39713 6519 4 certain certain JJ 39713 6519 5 that that IN 39713 6519 6 the the DT 39713 6519 7 postulates postulate NNS 39713 6519 8 are be VBP 39713 6519 9 not not RB 39713 6519 10 contradictory contradictory JJ 39713 6519 11 , , , 39713 6519 12 since since IN 39713 6519 13 there there EX 39713 6519 14 are be VBP 39713 6519 15 cases case NNS 39713 6519 16 where where WRB 39713 6519 17 they -PRON- PRP 39713 6519 18 are be VBP 39713 6519 19 all all RB 39713 6519 20 true true JJ 39713 6519 21 at at IN 39713 6519 22 the the DT 39713 6519 23 same same JJ 39713 6519 24 time time NN 39713 6519 25 . . . 39713 6520 1 But but CC 39713 6520 2 such such PDT 39713 6520 3 a a DT 39713 6520 4 direct direct JJ 39713 6520 5 demonstration demonstration NN 39713 6520 6 by by IN 39713 6520 7 example example NN 39713 6520 8 is be VBZ 39713 6520 9 not not RB 39713 6520 10 always always RB 39713 6520 11 possible possible JJ 39713 6520 12 . . . 39713 6521 1 To to TO 39713 6521 2 establish establish VB 39713 6521 3 that that IN 39713 6521 4 the the DT 39713 6521 5 postulates postulate NNS 39713 6521 6 imply imply VBP 39713 6521 7 no no DT 39713 6521 8 contradiction contradiction NN 39713 6521 9 , , , 39713 6521 10 it -PRON- PRP 39713 6521 11 is be VBZ 39713 6521 12 then then RB 39713 6521 13 necessary necessary JJ 39713 6521 14 to to TO 39713 6521 15 consider consider VB 39713 6521 16 all all PDT 39713 6521 17 the the DT 39713 6521 18 propositions proposition NNS 39713 6521 19 deducible deducible JJ 39713 6521 20 from from IN 39713 6521 21 these these DT 39713 6521 22 postulates postulate NNS 39713 6521 23 considered consider VBN 39713 6521 24 as as IN 39713 6521 25 premises premise NNS 39713 6521 26 , , , 39713 6521 27 and and CC 39713 6521 28 to to TO 39713 6521 29 show show VB 39713 6521 30 that that IN 39713 6521 31 , , , 39713 6521 32 among among IN 39713 6521 33 these these DT 39713 6521 34 propositions proposition NNS 39713 6521 35 , , , 39713 6521 36 no no DT 39713 6521 37 two two CD 39713 6521 38 are be VBP 39713 6521 39 contradictory contradictory JJ 39713 6521 40 . . . 39713 6522 1 If if IN 39713 6522 2 these these DT 39713 6522 3 propositions proposition NNS 39713 6522 4 are be VBP 39713 6522 5 finite finite JJ 39713 6522 6 in in IN 39713 6522 7 number number NN 39713 6522 8 , , , 39713 6522 9 a a DT 39713 6522 10 direct direct JJ 39713 6522 11 verification verification NN 39713 6522 12 is be VBZ 39713 6522 13 possible possible JJ 39713 6522 14 . . . 39713 6523 1 This this DT 39713 6523 2 case case NN 39713 6523 3 is be VBZ 39713 6523 4 infrequent infrequent JJ 39713 6523 5 and and CC 39713 6523 6 uninteresting uninteresting JJ 39713 6523 7 . . . 39713 6524 1 If if IN 39713 6524 2 these these DT 39713 6524 3 propositions proposition NNS 39713 6524 4 are be VBP 39713 6524 5 infinite infinite JJ 39713 6524 6 in in IN 39713 6524 7 number number NN 39713 6524 8 , , , 39713 6524 9 this this DT 39713 6524 10 direct direct JJ 39713 6524 11 verification verification NN 39713 6524 12 can can MD 39713 6524 13 no no RB 39713 6524 14 longer longer RB 39713 6524 15 be be VB 39713 6524 16 made make VBN 39713 6524 17 ; ; : 39713 6524 18 recourse recourse JJ 39713 6524 19 must must MD 39713 6524 20 be be VB 39713 6524 21 had have VBN 39713 6524 22 to to IN 39713 6524 23 procedures procedure NNS 39713 6524 24 where where WRB 39713 6524 25 in in IN 39713 6524 26 general general JJ 39713 6524 27 it -PRON- PRP 39713 6524 28 is be VBZ 39713 6524 29 necessary necessary JJ 39713 6524 30 to to TO 39713 6524 31 invoke invoke VB 39713 6524 32 just just RB 39713 6524 33 this this DT 39713 6524 34 principle principle NN 39713 6524 35 of of IN 39713 6524 36 complete complete JJ 39713 6524 37 induction induction NN 39713 6524 38 which which WDT 39713 6524 39 is be VBZ 39713 6524 40 precisely precisely RB 39713 6524 41 the the DT 39713 6524 42 thing thing NN 39713 6524 43 to to TO 39713 6524 44 be be VB 39713 6524 45 proved prove VBN 39713 6524 46 . . . 39713 6525 1 This this DT 39713 6525 2 is be VBZ 39713 6525 3 an an DT 39713 6525 4 explanation explanation NN 39713 6525 5 of of IN 39713 6525 6 one one CD 39713 6525 7 of of IN 39713 6525 8 the the DT 39713 6525 9 conditions condition NNS 39713 6525 10 the the DT 39713 6525 11 logicians logicians NNPS 39713 6525 12 should should MD 39713 6525 13 satisfy satisfy VB 39713 6525 14 , , , 39713 6525 15 _ _ NNP 39713 6525 16 and and CC 39713 6525 17 further far RBR 39713 6525 18 on on RB 39713 6525 19 we -PRON- PRP 39713 6525 20 shall shall MD 39713 6525 21 see see VB 39713 6525 22 they -PRON- PRP 39713 6525 23 have have VBP 39713 6525 24 not not RB 39713 6525 25 done do VBN 39713 6525 26 it -PRON- PRP 39713 6525 27 _ _ NNP 39713 6525 28 . . . 39713 6526 1 V V NNP 39713 6526 2 There there EX 39713 6526 3 is be VBZ 39713 6526 4 a a DT 39713 6526 5 second second NN 39713 6526 6 . . . 39713 6527 1 When when WRB 39713 6527 2 we -PRON- PRP 39713 6527 3 give give VBP 39713 6527 4 a a DT 39713 6527 5 definition definition NN 39713 6527 6 , , , 39713 6527 7 it -PRON- PRP 39713 6527 8 is be VBZ 39713 6527 9 to to TO 39713 6527 10 use use VB 39713 6527 11 it -PRON- PRP 39713 6527 12 . . . 39713 6528 1 We -PRON- PRP 39713 6528 2 therefore therefore RB 39713 6528 3 shall shall MD 39713 6528 4 find find VB 39713 6528 5 in in IN 39713 6528 6 the the DT 39713 6528 7 sequel sequel NN 39713 6528 8 of of IN 39713 6528 9 the the DT 39713 6528 10 exposition exposition NN 39713 6528 11 the the DT 39713 6528 12 word word NN 39713 6528 13 defined define VBN 39713 6528 14 ; ; : 39713 6528 15 have have VBP 39713 6528 16 we -PRON- PRP 39713 6528 17 the the DT 39713 6528 18 right right NN 39713 6528 19 to to TO 39713 6528 20 affirm affirm VB 39713 6528 21 , , , 39713 6528 22 of of IN 39713 6528 23 the the DT 39713 6528 24 thing thing NN 39713 6528 25 represented represent VBN 39713 6528 26 by by IN 39713 6528 27 this this DT 39713 6528 28 word word NN 39713 6528 29 , , , 39713 6528 30 the the DT 39713 6528 31 postulate postulate NN 39713 6528 32 which which WDT 39713 6528 33 has have VBZ 39713 6528 34 served serve VBN 39713 6528 35 for for IN 39713 6528 36 definition definition NN 39713 6528 37 ? ? . 39713 6529 1 Yes yes UH 39713 6529 2 , , , 39713 6529 3 evidently evidently RB 39713 6529 4 , , , 39713 6529 5 if if IN 39713 6529 6 the the DT 39713 6529 7 word word NN 39713 6529 8 has have VBZ 39713 6529 9 retained retain VBN 39713 6529 10 its -PRON- PRP$ 39713 6529 11 meaning meaning NN 39713 6529 12 , , , 39713 6529 13 if if IN 39713 6529 14 we -PRON- PRP 39713 6529 15 do do VBP 39713 6529 16 not not RB 39713 6529 17 attribute attribute VB 39713 6529 18 to to IN 39713 6529 19 it -PRON- PRP 39713 6529 20 implicitly implicitly RB 39713 6529 21 a a DT 39713 6529 22 different different JJ 39713 6529 23 meaning meaning NN 39713 6529 24 . . . 39713 6530 1 Now now RB 39713 6530 2 this this DT 39713 6530 3 is be VBZ 39713 6530 4 what what WP 39713 6530 5 sometimes sometimes RB 39713 6530 6 happens happen VBZ 39713 6530 7 and and CC 39713 6530 8 it -PRON- PRP 39713 6530 9 is be VBZ 39713 6530 10 usually usually RB 39713 6530 11 difficult difficult JJ 39713 6530 12 to to TO 39713 6530 13 perceive perceive VB 39713 6530 14 it -PRON- PRP 39713 6530 15 ; ; : 39713 6530 16 it -PRON- PRP 39713 6530 17 is be VBZ 39713 6530 18 needful needful JJ 39713 6530 19 to to TO 39713 6530 20 see see VB 39713 6530 21 how how WRB 39713 6530 22 this this DT 39713 6530 23 word word NN 39713 6530 24 comes come VBZ 39713 6530 25 into into IN 39713 6530 26 our -PRON- PRP$ 39713 6530 27 discourse discourse NN 39713 6530 28 , , , 39713 6530 29 and and CC 39713 6530 30 if if IN 39713 6530 31 the the DT 39713 6530 32 gate gate NN 39713 6530 33 by by IN 39713 6530 34 which which WDT 39713 6530 35 it -PRON- PRP 39713 6530 36 has have VBZ 39713 6530 37 entered enter VBN 39713 6530 38 does do VBZ 39713 6530 39 not not RB 39713 6530 40 imply imply VB 39713 6530 41 in in IN 39713 6530 42 reality reality NN 39713 6530 43 a a DT 39713 6530 44 definition definition NN 39713 6530 45 other other JJ 39713 6530 46 than than IN 39713 6530 47 that that DT 39713 6530 48 stated state VBN 39713 6530 49 . . . 39713 6531 1 This this DT 39713 6531 2 difficulty difficulty NN 39713 6531 3 presents present VBZ 39713 6531 4 itself -PRON- PRP 39713 6531 5 in in IN 39713 6531 6 all all PDT 39713 6531 7 the the DT 39713 6531 8 applications application NNS 39713 6531 9 of of IN 39713 6531 10 mathematics mathematic NNS 39713 6531 11 . . . 39713 6532 1 The the DT 39713 6532 2 mathematical mathematical JJ 39713 6532 3 notion notion NN 39713 6532 4 has have VBZ 39713 6532 5 been be VBN 39713 6532 6 given give VBN 39713 6532 7 a a DT 39713 6532 8 definition definition NN 39713 6532 9 very very RB 39713 6532 10 refined refined JJ 39713 6532 11 and and CC 39713 6532 12 very very RB 39713 6532 13 rigorous rigorous JJ 39713 6532 14 ; ; : 39713 6532 15 and and CC 39713 6532 16 for for IN 39713 6532 17 the the DT 39713 6532 18 pure pure JJ 39713 6532 19 mathematician mathematician NN 39713 6532 20 all all RB 39713 6532 21 doubt doubt NN 39713 6532 22 has have VBZ 39713 6532 23 disappeared disappear VBN 39713 6532 24 ; ; : 39713 6532 25 but but CC 39713 6532 26 if if IN 39713 6532 27 one one CD 39713 6532 28 wishes wish VBZ 39713 6532 29 to to TO 39713 6532 30 apply apply VB 39713 6532 31 it -PRON- PRP 39713 6532 32 to to IN 39713 6532 33 the the DT 39713 6532 34 physical physical JJ 39713 6532 35 sciences science NNS 39713 6532 36 for for IN 39713 6532 37 instance instance NN 39713 6532 38 , , , 39713 6532 39 it -PRON- PRP 39713 6532 40 is be VBZ 39713 6532 41 no no RB 39713 6532 42 longer long RBR 39713 6532 43 a a DT 39713 6532 44 question question NN 39713 6532 45 of of IN 39713 6532 46 this this DT 39713 6532 47 pure pure JJ 39713 6532 48 notion notion NN 39713 6532 49 , , , 39713 6532 50 but but CC 39713 6532 51 of of IN 39713 6532 52 a a DT 39713 6532 53 concrete concrete JJ 39713 6532 54 object object NN 39713 6532 55 which which WDT 39713 6532 56 is be VBZ 39713 6532 57 often often RB 39713 6532 58 only only RB 39713 6532 59 a a DT 39713 6532 60 rough rough JJ 39713 6532 61 image image NN 39713 6532 62 of of IN 39713 6532 63 it -PRON- PRP 39713 6532 64 . . . 39713 6533 1 To to TO 39713 6533 2 say say VB 39713 6533 3 that that IN 39713 6533 4 this this DT 39713 6533 5 object object NN 39713 6533 6 satisfies satisfie NNS 39713 6533 7 , , , 39713 6533 8 at at IN 39713 6533 9 least least JJS 39713 6533 10 approximately approximately RB 39713 6533 11 , , , 39713 6533 12 the the DT 39713 6533 13 definition definition NN 39713 6533 14 , , , 39713 6533 15 is be VBZ 39713 6533 16 to to TO 39713 6533 17 state state VB 39713 6533 18 a a DT 39713 6533 19 new new JJ 39713 6533 20 truth truth NN 39713 6533 21 , , , 39713 6533 22 which which WDT 39713 6533 23 experience experience NN 39713 6533 24 alone alone RB 39713 6533 25 can can MD 39713 6533 26 put put VB 39713 6533 27 beyond beyond IN 39713 6533 28 doubt doubt NN 39713 6533 29 , , , 39713 6533 30 and and CC 39713 6533 31 which which WDT 39713 6533 32 no no RB 39713 6533 33 longer longer RB 39713 6533 34 has have VBZ 39713 6533 35 the the DT 39713 6533 36 character character NN 39713 6533 37 of of IN 39713 6533 38 a a DT 39713 6533 39 conventional conventional JJ 39713 6533 40 postulate postulate NN 39713 6533 41 . . . 39713 6534 1 But but CC 39713 6534 2 without without IN 39713 6534 3 going go VBG 39713 6534 4 beyond beyond IN 39713 6534 5 pure pure JJ 39713 6534 6 mathematics mathematic NNS 39713 6534 7 , , , 39713 6534 8 we -PRON- PRP 39713 6534 9 also also RB 39713 6534 10 meet meet VBP 39713 6534 11 the the DT 39713 6534 12 same same JJ 39713 6534 13 difficulty difficulty NN 39713 6534 14 . . . 39713 6535 1 You -PRON- PRP 39713 6535 2 give give VBP 39713 6535 3 a a DT 39713 6535 4 subtile subtile NN 39713 6535 5 definition definition NN 39713 6535 6 of of IN 39713 6535 7 numbers number NNS 39713 6535 8 ; ; : 39713 6535 9 then then RB 39713 6535 10 , , , 39713 6535 11 once once RB 39713 6535 12 this this DT 39713 6535 13 definition definition NN 39713 6535 14 given give VBN 39713 6535 15 , , , 39713 6535 16 you -PRON- PRP 39713 6535 17 think think VBP 39713 6535 18 no no DT 39713 6535 19 more more JJR 39713 6535 20 of of IN 39713 6535 21 it -PRON- PRP 39713 6535 22 ; ; : 39713 6535 23 because because IN 39713 6535 24 , , , 39713 6535 25 in in IN 39713 6535 26 reality reality NN 39713 6535 27 , , , 39713 6535 28 it -PRON- PRP 39713 6535 29 is be VBZ 39713 6535 30 not not RB 39713 6535 31 it -PRON- PRP 39713 6535 32 which which WDT 39713 6535 33 has have VBZ 39713 6535 34 taught teach VBN 39713 6535 35 you -PRON- PRP 39713 6535 36 what what WDT 39713 6535 37 number number NN 39713 6535 38 is be VBZ 39713 6535 39 ; ; : 39713 6535 40 you -PRON- PRP 39713 6535 41 long long RB 39713 6535 42 ago ago RB 39713 6535 43 knew know VBD 39713 6535 44 that that DT 39713 6535 45 , , , 39713 6535 46 and and CC 39713 6535 47 when when WRB 39713 6535 48 the the DT 39713 6535 49 word word NN 39713 6535 50 number number NN 39713 6535 51 further further RB 39713 6535 52 on on RB 39713 6535 53 is be VBZ 39713 6535 54 found find VBN 39713 6535 55 under under IN 39713 6535 56 your -PRON- PRP$ 39713 6535 57 pen pen NN 39713 6535 58 , , , 39713 6535 59 you -PRON- PRP 39713 6535 60 give give VBP 39713 6535 61 it -PRON- PRP 39713 6535 62 the the DT 39713 6535 63 same same JJ 39713 6535 64 sense sense NN 39713 6535 65 as as IN 39713 6535 66 the the DT 39713 6535 67 first first JJ 39713 6535 68 comer comer NNP 39713 6535 69 . . . 39713 6536 1 To to TO 39713 6536 2 know know VB 39713 6536 3 what what WP 39713 6536 4 is be VBZ 39713 6536 5 this this DT 39713 6536 6 meaning meaning NN 39713 6536 7 and and CC 39713 6536 8 whether whether IN 39713 6536 9 it -PRON- PRP 39713 6536 10 is be VBZ 39713 6536 11 the the DT 39713 6536 12 same same JJ 39713 6536 13 in in IN 39713 6536 14 this this DT 39713 6536 15 phrase phrase NN 39713 6536 16 or or CC 39713 6536 17 that that IN 39713 6536 18 , , , 39713 6536 19 it -PRON- PRP 39713 6536 20 is be VBZ 39713 6536 21 needful needful JJ 39713 6536 22 to to TO 39713 6536 23 see see VB 39713 6536 24 how how WRB 39713 6536 25 you -PRON- PRP 39713 6536 26 have have VBP 39713 6536 27 been be VBN 39713 6536 28 led lead VBN 39713 6536 29 to to TO 39713 6536 30 speak speak VB 39713 6536 31 of of IN 39713 6536 32 number number NN 39713 6536 33 and and CC 39713 6536 34 to to TO 39713 6536 35 introduce introduce VB 39713 6536 36 this this DT 39713 6536 37 word word NN 39713 6536 38 into into IN 39713 6536 39 these these DT 39713 6536 40 two two CD 39713 6536 41 phrases phrase NNS 39713 6536 42 . . . 39713 6537 1 I -PRON- PRP 39713 6537 2 shall shall MD 39713 6537 3 not not RB 39713 6537 4 for for IN 39713 6537 5 the the DT 39713 6537 6 moment moment NN 39713 6537 7 dilate dilate NN 39713 6537 8 upon upon IN 39713 6537 9 this this DT 39713 6537 10 point point NN 39713 6537 11 , , , 39713 6537 12 because because IN 39713 6537 13 we -PRON- PRP 39713 6537 14 shall shall MD 39713 6537 15 have have VB 39713 6537 16 occasion occasion NN 39713 6537 17 to to TO 39713 6537 18 return return VB 39713 6537 19 to to IN 39713 6537 20 it -PRON- PRP 39713 6537 21 . . . 39713 6538 1 Thus thus RB 39713 6538 2 consider consider VB 39713 6538 3 a a DT 39713 6538 4 word word NN 39713 6538 5 of of IN 39713 6538 6 which which WDT 39713 6538 7 we -PRON- PRP 39713 6538 8 have have VBP 39713 6538 9 given give VBN 39713 6538 10 explicitly explicitly RB 39713 6538 11 a a DT 39713 6538 12 definition definition NN 39713 6538 13 _ _ NNP 39713 6538 14 A A NNP 39713 6538 15 _ _ NNP 39713 6538 16 ; ; : 39713 6538 17 afterwards afterwards RB 39713 6538 18 in in IN 39713 6538 19 the the DT 39713 6538 20 discourse discourse NN 39713 6538 21 we -PRON- PRP 39713 6538 22 make make VBP 39713 6538 23 a a DT 39713 6538 24 use use NN 39713 6538 25 of of IN 39713 6538 26 it -PRON- PRP 39713 6538 27 which which WDT 39713 6538 28 implicitly implicitly RB 39713 6538 29 supposes suppose VBZ 39713 6538 30 another another DT 39713 6538 31 definition definition NN 39713 6538 32 _ _ NNP 39713 6538 33 B B NNP 39713 6538 34 _ _ NNP 39713 6538 35 . . . 39713 6539 1 It -PRON- PRP 39713 6539 2 is be VBZ 39713 6539 3 possible possible JJ 39713 6539 4 that that IN 39713 6539 5 these these DT 39713 6539 6 two two CD 39713 6539 7 definitions definition NNS 39713 6539 8 designate designate VBP 39713 6539 9 the the DT 39713 6539 10 same same JJ 39713 6539 11 thing thing NN 39713 6539 12 . . . 39713 6540 1 But but CC 39713 6540 2 that that IN 39713 6540 3 this this DT 39713 6540 4 is be VBZ 39713 6540 5 so so RB 39713 6540 6 is be VBZ 39713 6540 7 a a DT 39713 6540 8 new new JJ 39713 6540 9 truth truth NN 39713 6540 10 which which WDT 39713 6540 11 must must MD 39713 6540 12 either either CC 39713 6540 13 be be VB 39713 6540 14 demonstrated demonstrate VBN 39713 6540 15 or or CC 39713 6540 16 admitted admit VBN 39713 6540 17 as as IN 39713 6540 18 an an DT 39713 6540 19 independent independent JJ 39713 6540 20 assumption assumption NN 39713 6540 21 . . . 39713 6541 1 _ _ NNP 39713 6541 2 We -PRON- PRP 39713 6541 3 shall shall MD 39713 6541 4 see see VB 39713 6541 5 farther farther RB 39713 6541 6 on on IN 39713 6541 7 that that IN 39713 6541 8 the the DT 39713 6541 9 logicians logicians NNPS 39713 6541 10 have have VBP 39713 6541 11 not not RB 39713 6541 12 fulfilled fulfil VBN 39713 6541 13 the the DT 39713 6541 14 second second JJ 39713 6541 15 condition condition NN 39713 6541 16 any any RB 39713 6541 17 better well RBR 39713 6541 18 than than IN 39713 6541 19 the the DT 39713 6541 20 first first JJ 39713 6541 21 . . . 39713 6541 22 _ _ NNP 39713 6541 23 VI VI NNP 39713 6541 24 The the DT 39713 6541 25 definitions definition NNS 39713 6541 26 of of IN 39713 6541 27 number number NN 39713 6541 28 are be VBP 39713 6541 29 very very RB 39713 6541 30 numerous numerous JJ 39713 6541 31 and and CC 39713 6541 32 very very RB 39713 6541 33 different different JJ 39713 6541 34 ; ; : 39713 6541 35 I -PRON- PRP 39713 6541 36 forego forego VBP 39713 6541 37 the the DT 39713 6541 38 enumeration enumeration NN 39713 6541 39 even even RB 39713 6541 40 of of IN 39713 6541 41 the the DT 39713 6541 42 names name NNS 39713 6541 43 of of IN 39713 6541 44 their -PRON- PRP$ 39713 6541 45 authors author NNS 39713 6541 46 . . . 39713 6542 1 We -PRON- PRP 39713 6542 2 should should MD 39713 6542 3 not not RB 39713 6542 4 be be VB 39713 6542 5 astonished astonished JJ 39713 6542 6 that that IN 39713 6542 7 there there EX 39713 6542 8 are be VBP 39713 6542 9 so so RB 39713 6542 10 many many JJ 39713 6542 11 . . . 39713 6543 1 If if IN 39713 6543 2 one one CD 39713 6543 3 among among IN 39713 6543 4 them -PRON- PRP 39713 6543 5 was be VBD 39713 6543 6 satisfactory satisfactory JJ 39713 6543 7 , , , 39713 6543 8 no no DT 39713 6543 9 new new JJ 39713 6543 10 one one NN 39713 6543 11 would would MD 39713 6543 12 be be VB 39713 6543 13 given give VBN 39713 6543 14 . . . 39713 6544 1 If if IN 39713 6544 2 each each DT 39713 6544 3 new new JJ 39713 6544 4 philosopher philosopher NN 39713 6544 5 occupying occupy VBG 39713 6544 6 himself -PRON- PRP 39713 6544 7 with with IN 39713 6544 8 this this DT 39713 6544 9 question question NN 39713 6544 10 has have VBZ 39713 6544 11 thought think VBN 39713 6544 12 he -PRON- PRP 39713 6544 13 must must MD 39713 6544 14 invent invent VB 39713 6544 15 another another DT 39713 6544 16 one one NN 39713 6544 17 , , , 39713 6544 18 this this DT 39713 6544 19 was be VBD 39713 6544 20 because because IN 39713 6544 21 he -PRON- PRP 39713 6544 22 was be VBD 39713 6544 23 not not RB 39713 6544 24 satisfied satisfied JJ 39713 6544 25 with with IN 39713 6544 26 those those DT 39713 6544 27 of of IN 39713 6544 28 his -PRON- PRP$ 39713 6544 29 predecessors predecessor NNS 39713 6544 30 , , , 39713 6544 31 and and CC 39713 6544 32 he -PRON- PRP 39713 6544 33 was be VBD 39713 6544 34 not not RB 39713 6544 35 satisfied satisfied JJ 39713 6544 36 with with IN 39713 6544 37 them -PRON- PRP 39713 6544 38 because because IN 39713 6544 39 he -PRON- PRP 39713 6544 40 thought think VBD 39713 6544 41 he -PRON- PRP 39713 6544 42 saw see VBD 39713 6544 43 a a DT 39713 6544 44 petitio petitio NN 39713 6544 45 principii principii NN 39713 6544 46 . . . 39713 6545 1 I -PRON- PRP 39713 6545 2 have have VBP 39713 6545 3 always always RB 39713 6545 4 felt feel VBN 39713 6545 5 , , , 39713 6545 6 in in IN 39713 6545 7 reading read VBG 39713 6545 8 the the DT 39713 6545 9 writings writing NNS 39713 6545 10 devoted devote VBN 39713 6545 11 to to IN 39713 6545 12 this this DT 39713 6545 13 problem problem NN 39713 6545 14 , , , 39713 6545 15 a a DT 39713 6545 16 profound profound JJ 39713 6545 17 feeling feeling NN 39713 6545 18 of of IN 39713 6545 19 discomfort discomfort NN 39713 6545 20 ; ; : 39713 6545 21 I -PRON- PRP 39713 6545 22 was be VBD 39713 6545 23 always always RB 39713 6545 24 expecting expect VBG 39713 6545 25 to to TO 39713 6545 26 run run VB 39713 6545 27 against against IN 39713 6545 28 a a DT 39713 6545 29 petitio petitio NN 39713 6545 30 principii principii NN 39713 6545 31 , , , 39713 6545 32 and and CC 39713 6545 33 when when WRB 39713 6545 34 I -PRON- PRP 39713 6545 35 did do VBD 39713 6545 36 not not RB 39713 6545 37 immediately immediately RB 39713 6545 38 perceive perceive VB 39713 6545 39 it -PRON- PRP 39713 6545 40 , , , 39713 6545 41 I -PRON- PRP 39713 6545 42 feared fear VBD 39713 6545 43 I -PRON- PRP 39713 6545 44 had have VBD 39713 6545 45 overlooked overlook VBN 39713 6545 46 it -PRON- PRP 39713 6545 47 . . . 39713 6546 1 This this DT 39713 6546 2 is be VBZ 39713 6546 3 because because IN 39713 6546 4 it -PRON- PRP 39713 6546 5 is be VBZ 39713 6546 6 impossible impossible JJ 39713 6546 7 to to TO 39713 6546 8 give give VB 39713 6546 9 a a DT 39713 6546 10 definition definition NN 39713 6546 11 without without IN 39713 6546 12 using use VBG 39713 6546 13 a a DT 39713 6546 14 sentence sentence NN 39713 6546 15 , , , 39713 6546 16 and and CC 39713 6546 17 difficult difficult JJ 39713 6546 18 to to TO 39713 6546 19 make make VB 39713 6546 20 a a DT 39713 6546 21 sentence sentence NN 39713 6546 22 without without IN 39713 6546 23 using use VBG 39713 6546 24 a a DT 39713 6546 25 number number NN 39713 6546 26 word word NN 39713 6546 27 , , , 39713 6546 28 or or CC 39713 6546 29 at at IN 39713 6546 30 least least JJS 39713 6546 31 the the DT 39713 6546 32 word word NN 39713 6546 33 several several JJ 39713 6546 34 , , , 39713 6546 35 or or CC 39713 6546 36 at at IN 39713 6546 37 least least JJS 39713 6546 38 a a DT 39713 6546 39 word word NN 39713 6546 40 in in IN 39713 6546 41 the the DT 39713 6546 42 plural plural NN 39713 6546 43 . . . 39713 6547 1 And and CC 39713 6547 2 then then RB 39713 6547 3 the the DT 39713 6547 4 declivity declivity NN 39713 6547 5 is be VBZ 39713 6547 6 slippery slippery JJ 39713 6547 7 and and CC 39713 6547 8 at at IN 39713 6547 9 each each DT 39713 6547 10 instant instant NN 39713 6547 11 there there EX 39713 6547 12 is be VBZ 39713 6547 13 risk risk NN 39713 6547 14 of of IN 39713 6547 15 a a DT 39713 6547 16 fall fall NN 39713 6547 17 into into IN 39713 6547 18 petitio petitio NNP 39713 6547 19 principii principii NN 39713 6547 20 . . . 39713 6548 1 I -PRON- PRP 39713 6548 2 shall shall MD 39713 6548 3 devote devote VB 39713 6548 4 my -PRON- PRP$ 39713 6548 5 attention attention NN 39713 6548 6 in in IN 39713 6548 7 what what WP 39713 6548 8 follows follow VBZ 39713 6548 9 only only RB 39713 6548 10 to to IN 39713 6548 11 those those DT 39713 6548 12 of of IN 39713 6548 13 these these DT 39713 6548 14 definitions definition NNS 39713 6548 15 where where WRB 39713 6548 16 the the DT 39713 6548 17 petitio petitio NNP 39713 6548 18 principii principii NNP 39713 6548 19 is be VBZ 39713 6548 20 most most RBS 39713 6548 21 ably ably RB 39713 6548 22 concealed conceal VBN 39713 6548 23 . . . 39713 6549 1 VII VII NNP 39713 6549 2 PASIGRAPHY PASIGRAPHY VBZ 39713 6549 3 The the DT 39713 6549 4 symbolic symbolic JJ 39713 6549 5 language language NN 39713 6549 6 created create VBN 39713 6549 7 by by IN 39713 6549 8 Peano Peano NNP 39713 6549 9 plays play VBZ 39713 6549 10 a a DT 39713 6549 11 very very RB 39713 6549 12 grand grand JJ 39713 6549 13 rôle rôle NN 39713 6549 14 in in IN 39713 6549 15 these these DT 39713 6549 16 new new JJ 39713 6549 17 researches research NNS 39713 6549 18 . . . 39713 6550 1 It -PRON- PRP 39713 6550 2 is be VBZ 39713 6550 3 capable capable JJ 39713 6550 4 of of IN 39713 6550 5 rendering render VBG 39713 6550 6 some some DT 39713 6550 7 service service NN 39713 6550 8 , , , 39713 6550 9 but but CC 39713 6550 10 I -PRON- PRP 39713 6550 11 think think VBP 39713 6550 12 M. M. NNP 39713 6550 13 Couturat Couturat NNP 39713 6550 14 attaches attach VBZ 39713 6550 15 to to IN 39713 6550 16 it -PRON- PRP 39713 6550 17 an an DT 39713 6550 18 exaggerated exaggerated JJ 39713 6550 19 importance importance NN 39713 6550 20 which which WDT 39713 6550 21 must must MD 39713 6550 22 astonish astonish VB 39713 6550 23 Peano Peano NNP 39713 6550 24 himself -PRON- PRP 39713 6550 25 . . . 39713 6551 1 The the DT 39713 6551 2 essential essential JJ 39713 6551 3 element element NN 39713 6551 4 of of IN 39713 6551 5 this this DT 39713 6551 6 language language NN 39713 6551 7 is be VBZ 39713 6551 8 certain certain JJ 39713 6551 9 algebraic algebraic JJ 39713 6551 10 signs sign NNS 39713 6551 11 which which WDT 39713 6551 12 represent represent VBP 39713 6551 13 the the DT 39713 6551 14 different different JJ 39713 6551 15 conjunctions conjunction NNS 39713 6551 16 : : : 39713 6551 17 if if IN 39713 6551 18 , , , 39713 6551 19 and and CC 39713 6551 20 , , , 39713 6551 21 or or CC 39713 6551 22 , , , 39713 6551 23 therefore therefore RB 39713 6551 24 . . . 39713 6552 1 That that IN 39713 6552 2 these these DT 39713 6552 3 signs sign NNS 39713 6552 4 may may MD 39713 6552 5 be be VB 39713 6552 6 convenient convenient JJ 39713 6552 7 is be VBZ 39713 6552 8 possible possible JJ 39713 6552 9 ; ; : 39713 6552 10 but but CC 39713 6552 11 that that IN 39713 6552 12 they -PRON- PRP 39713 6552 13 are be VBP 39713 6552 14 destined destine VBN 39713 6552 15 to to TO 39713 6552 16 revolutionize revolutionize VB 39713 6552 17 all all DT 39713 6552 18 philosophy philosophy NN 39713 6552 19 is be VBZ 39713 6552 20 a a DT 39713 6552 21 different different JJ 39713 6552 22 matter matter NN 39713 6552 23 . . . 39713 6553 1 It -PRON- PRP 39713 6553 2 is be VBZ 39713 6553 3 difficult difficult JJ 39713 6553 4 to to TO 39713 6553 5 admit admit VB 39713 6553 6 that that IN 39713 6553 7 the the DT 39713 6553 8 word word NN 39713 6553 9 _ _ NNP 39713 6553 10 if if IN 39713 6553 11 _ _ NNP 39713 6553 12 acquires acquire VBZ 39713 6553 13 , , , 39713 6553 14 when when WRB 39713 6553 15 written write VBN 39713 6553 16 C C NNP 39713 6553 17 , , , 39713 6553 18 a a DT 39713 6553 19 virtue virtue NN 39713 6553 20 it -PRON- PRP 39713 6553 21 had have VBD 39713 6553 22 not not RB 39713 6553 23 when when WRB 39713 6553 24 written write VBN 39713 6553 25 if if IN 39713 6553 26 . . . 39713 6554 1 This this DT 39713 6554 2 invention invention NN 39713 6554 3 of of IN 39713 6554 4 Peano Peano NNP 39713 6554 5 was be VBD 39713 6554 6 first first RB 39713 6554 7 called call VBN 39713 6554 8 _ _ NNP 39713 6554 9 pasigraphy pasigraphy NN 39713 6554 10 _ _ NNP 39713 6554 11 , , , 39713 6554 12 that that DT 39713 6554 13 is be VBZ 39713 6554 14 to to TO 39713 6554 15 say say VB 39713 6554 16 the the DT 39713 6554 17 art art NN 39713 6554 18 of of IN 39713 6554 19 writing write VBG 39713 6554 20 a a DT 39713 6554 21 treatise treatise NN 39713 6554 22 on on IN 39713 6554 23 mathematics mathematic NNS 39713 6554 24 without without IN 39713 6554 25 using use VBG 39713 6554 26 a a DT 39713 6554 27 single single JJ 39713 6554 28 word word NN 39713 6554 29 of of IN 39713 6554 30 ordinary ordinary JJ 39713 6554 31 language language NN 39713 6554 32 . . . 39713 6555 1 This this DT 39713 6555 2 name name NN 39713 6555 3 defined define VBD 39713 6555 4 its -PRON- PRP$ 39713 6555 5 range range NN 39713 6555 6 very very RB 39713 6555 7 exactly exactly RB 39713 6555 8 . . . 39713 6556 1 Later later RB 39713 6556 2 , , , 39713 6556 3 it -PRON- PRP 39713 6556 4 was be VBD 39713 6556 5 raised raise VBN 39713 6556 6 to to IN 39713 6556 7 a a DT 39713 6556 8 more more RBR 39713 6556 9 eminent eminent JJ 39713 6556 10 dignity dignity NN 39713 6556 11 by by IN 39713 6556 12 conferring confer VBG 39713 6556 13 on on IN 39713 6556 14 it -PRON- PRP 39713 6556 15 the the DT 39713 6556 16 title title NN 39713 6556 17 of of IN 39713 6556 18 _ _ NNP 39713 6556 19 logistic logistic JJ 39713 6556 20 _ _ NNP 39713 6556 21 . . . 39713 6557 1 This this DT 39713 6557 2 word word NN 39713 6557 3 is be VBZ 39713 6557 4 , , , 39713 6557 5 it -PRON- PRP 39713 6557 6 appears appear VBZ 39713 6557 7 , , , 39713 6557 8 employed employ VBN 39713 6557 9 at at IN 39713 6557 10 the the DT 39713 6557 11 Military Military NNP 39713 6557 12 Academy Academy NNP 39713 6557 13 , , , 39713 6557 14 to to TO 39713 6557 15 designate designate VB 39713 6557 16 the the DT 39713 6557 17 art art NN 39713 6557 18 of of IN 39713 6557 19 the the DT 39713 6557 20 quartermaster quartermaster NN 39713 6557 21 of of IN 39713 6557 22 cavalry cavalry NNP 39713 6557 23 , , , 39713 6557 24 the the DT 39713 6557 25 art art NN 39713 6557 26 of of IN 39713 6557 27 marching marching NN 39713 6557 28 and and CC 39713 6557 29 cantoning canton VBG 39713 6557 30 troops troop NNS 39713 6557 31 ; ; : 39713 6557 32 but but CC 39713 6557 33 here here RB 39713 6557 34 no no DT 39713 6557 35 confusion confusion NN 39713 6557 36 need nee MD 39713 6557 37 be be VB 39713 6557 38 feared fear VBN 39713 6557 39 , , , 39713 6557 40 and and CC 39713 6557 41 it -PRON- PRP 39713 6557 42 is be VBZ 39713 6557 43 at at IN 39713 6557 44 once once RB 39713 6557 45 seen see VBN 39713 6557 46 that that IN 39713 6557 47 this this DT 39713 6557 48 new new JJ 39713 6557 49 name name NN 39713 6557 50 implies imply VBZ 39713 6557 51 the the DT 39713 6557 52 design design NN 39713 6557 53 of of IN 39713 6557 54 revolutionizing revolutionize VBG 39713 6557 55 logic logic NN 39713 6557 56 . . . 39713 6558 1 We -PRON- PRP 39713 6558 2 may may MD 39713 6558 3 see see VB 39713 6558 4 the the DT 39713 6558 5 new new JJ 39713 6558 6 method method NN 39713 6558 7 at at IN 39713 6558 8 work work NN 39713 6558 9 in in IN 39713 6558 10 a a DT 39713 6558 11 mathematical mathematical JJ 39713 6558 12 memoir memoir NN 39713 6558 13 by by IN 39713 6558 14 Burali Burali NNP 39713 6558 15 - - HYPH 39713 6558 16 Forti Forti NNP 39713 6558 17 , , , 39713 6558 18 entitled entitle VBN 39713 6558 19 : : : 39713 6558 20 _ _ NNP 39713 6558 21 Una Una NNP 39713 6558 22 Questione Questione NNP 39713 6558 23 sui sui NNP 39713 6558 24 numeri numeri NNP 39713 6558 25 transfiniti transfiniti NNP 39713 6558 26 _ _ NNP 39713 6558 27 , , , 39713 6558 28 inserted insert VBN 39713 6558 29 in in IN 39713 6558 30 Volume volume NN 39713 6558 31 XI XI NNP 39713 6558 32 of of IN 39713 6558 33 the the DT 39713 6558 34 _ _ NNP 39713 6558 35 Rendiconti Rendiconti NNP 39713 6558 36 del del NNP 39713 6558 37 circolo circolo NNP 39713 6558 38 matematico matematico NNP 39713 6558 39 di di NNP 39713 6558 40 Palermo Palermo NNP 39713 6558 41 _ _ NNP 39713 6558 42 . . . 39713 6559 1 I -PRON- PRP 39713 6559 2 begin begin VBP 39713 6559 3 by by IN 39713 6559 4 saying say VBG 39713 6559 5 this this DT 39713 6559 6 memoir memoir NN 39713 6559 7 is be VBZ 39713 6559 8 very very RB 39713 6559 9 interesting interesting JJ 39713 6559 10 , , , 39713 6559 11 and and CC 39713 6559 12 my -PRON- PRP$ 39713 6559 13 taking take VBG 39713 6559 14 it -PRON- PRP 39713 6559 15 here here RB 39713 6559 16 as as IN 39713 6559 17 example example NN 39713 6559 18 is be VBZ 39713 6559 19 precisely precisely RB 39713 6559 20 because because IN 39713 6559 21 it -PRON- PRP 39713 6559 22 is be VBZ 39713 6559 23 the the DT 39713 6559 24 most most RBS 39713 6559 25 important important JJ 39713 6559 26 of of IN 39713 6559 27 all all PDT 39713 6559 28 those those DT 39713 6559 29 written write VBN 39713 6559 30 in in IN 39713 6559 31 the the DT 39713 6559 32 new new JJ 39713 6559 33 language language NN 39713 6559 34 . . . 39713 6560 1 Besides besides RB 39713 6560 2 , , , 39713 6560 3 the the DT 39713 6560 4 uninitiated uninitiated JJ 39713 6560 5 may may MD 39713 6560 6 read read VB 39713 6560 7 it -PRON- PRP 39713 6560 8 , , , 39713 6560 9 thanks thank NNS 39713 6560 10 to to IN 39713 6560 11 an an DT 39713 6560 12 Italian italian JJ 39713 6560 13 interlinear interlinear NN 39713 6560 14 translation translation NN 39713 6560 15 . . . 39713 6561 1 What what WP 39713 6561 2 constitutes constitute VBZ 39713 6561 3 the the DT 39713 6561 4 importance importance NN 39713 6561 5 of of IN 39713 6561 6 this this DT 39713 6561 7 memoir memoir NN 39713 6561 8 is be VBZ 39713 6561 9 that that IN 39713 6561 10 it -PRON- PRP 39713 6561 11 has have VBZ 39713 6561 12 given give VBN 39713 6561 13 the the DT 39713 6561 14 first first JJ 39713 6561 15 example example NN 39713 6561 16 of of IN 39713 6561 17 those those DT 39713 6561 18 antinomies antinomy NNS 39713 6561 19 met meet VBD 39713 6561 20 in in IN 39713 6561 21 the the DT 39713 6561 22 study study NN 39713 6561 23 of of IN 39713 6561 24 transfinite transfinite JJ 39713 6561 25 numbers number NNS 39713 6561 26 and and CC 39713 6561 27 making make VBG 39713 6561 28 since since IN 39713 6561 29 some some DT 39713 6561 30 years year NNS 39713 6561 31 the the DT 39713 6561 32 despair despair NN 39713 6561 33 of of IN 39713 6561 34 mathematicians mathematician NNS 39713 6561 35 . . . 39713 6562 1 The the DT 39713 6562 2 aim aim NN 39713 6562 3 , , , 39713 6562 4 says say VBZ 39713 6562 5 Burali Burali NNP 39713 6562 6 - - HYPH 39713 6562 7 Forti Forti NNP 39713 6562 8 , , , 39713 6562 9 of of IN 39713 6562 10 this this DT 39713 6562 11 note note NN 39713 6562 12 is be VBZ 39713 6562 13 to to TO 39713 6562 14 show show VB 39713 6562 15 there there EX 39713 6562 16 may may MD 39713 6562 17 be be VB 39713 6562 18 two two CD 39713 6562 19 transfinite transfinite JJ 39713 6562 20 numbers number NNS 39713 6562 21 ( ( -LRB- 39713 6562 22 ordinals ordinal NNS 39713 6562 23 ) ) -RRB- 39713 6562 24 , , , 39713 6562 25 _ _ NNP 39713 6562 26 a a DT 39713 6562 27 _ _ NNP 39713 6562 28 and and CC 39713 6562 29 _ _ NNP 39713 6562 30 b b NNP 39713 6562 31 _ _ NNP 39713 6562 32 , , , 39713 6562 33 such such JJ 39713 6562 34 that that IN 39713 6562 35 _ _ NNP 39713 6562 36 a a DT 39713 6562 37 _ _ NNP 39713 6562 38 is be VBZ 39713 6562 39 neither neither RB 39713 6562 40 equal equal JJ 39713 6562 41 to to IN 39713 6562 42 , , , 39713 6562 43 greater great JJR 39713 6562 44 than than IN 39713 6562 45 , , , 39713 6562 46 nor nor CC 39713 6562 47 less less JJR 39713 6562 48 than than IN 39713 6562 49 _ _ NNP 39713 6562 50 b b NNP 39713 6562 51 _ _ NNP 39713 6562 52 . . . 39713 6563 1 To to TO 39713 6563 2 reassure reassure VB 39713 6563 3 the the DT 39713 6563 4 reader reader NN 39713 6563 5 , , , 39713 6563 6 to to TO 39713 6563 7 comprehend comprehend VB 39713 6563 8 the the DT 39713 6563 9 considerations consideration NNS 39713 6563 10 which which WDT 39713 6563 11 follow follow VBP 39713 6563 12 , , , 39713 6563 13 he -PRON- PRP 39713 6563 14 has have VBZ 39713 6563 15 no no DT 39713 6563 16 need need NN 39713 6563 17 of of IN 39713 6563 18 knowing know VBG 39713 6563 19 what what WP 39713 6563 20 a a DT 39713 6563 21 transfinite transfinite JJ 39713 6563 22 ordinal ordinal JJ 39713 6563 23 number number NN 39713 6563 24 is be VBZ 39713 6563 25 . . . 39713 6564 1 Now now RB 39713 6564 2 , , , 39713 6564 3 Cantor Cantor NNP 39713 6564 4 had have VBD 39713 6564 5 precisely precisely RB 39713 6564 6 proved prove VBN 39713 6564 7 that that IN 39713 6564 8 between between IN 39713 6564 9 two two CD 39713 6564 10 transfinite transfinite JJ 39713 6564 11 numbers number NNS 39713 6564 12 as as IN 39713 6564 13 between between IN 39713 6564 14 two two CD 39713 6564 15 finite finite NN 39713 6564 16 , , , 39713 6564 17 there there EX 39713 6564 18 can can MD 39713 6564 19 be be VB 39713 6564 20 no no DT 39713 6564 21 other other JJ 39713 6564 22 relation relation NN 39713 6564 23 than than IN 39713 6564 24 equality equality NN 39713 6564 25 or or CC 39713 6564 26 inequality inequality NN 39713 6564 27 in in IN 39713 6564 28 one one CD 39713 6564 29 sense sense NN 39713 6564 30 or or CC 39713 6564 31 the the DT 39713 6564 32 other other JJ 39713 6564 33 . . . 39713 6565 1 But but CC 39713 6565 2 it -PRON- PRP 39713 6565 3 is be VBZ 39713 6565 4 not not RB 39713 6565 5 of of IN 39713 6565 6 the the DT 39713 6565 7 substance substance NN 39713 6565 8 of of IN 39713 6565 9 this this DT 39713 6565 10 memoir memoir NN 39713 6565 11 that that WDT 39713 6565 12 I -PRON- PRP 39713 6565 13 wish wish VBP 39713 6565 14 to to TO 39713 6565 15 speak speak VB 39713 6565 16 here here RB 39713 6565 17 ; ; : 39713 6565 18 that that DT 39713 6565 19 would would MD 39713 6565 20 carry carry VB 39713 6565 21 me -PRON- PRP 39713 6565 22 much much RB 39713 6565 23 too too RB 39713 6565 24 far far RB 39713 6565 25 from from IN 39713 6565 26 my -PRON- PRP$ 39713 6565 27 subject subject NN 39713 6565 28 ; ; : 39713 6565 29 I -PRON- PRP 39713 6565 30 only only RB 39713 6565 31 wish wish VBP 39713 6565 32 to to TO 39713 6565 33 consider consider VB 39713 6565 34 the the DT 39713 6565 35 form form NN 39713 6565 36 , , , 39713 6565 37 and and CC 39713 6565 38 just just RB 39713 6565 39 to to TO 39713 6565 40 ask ask VB 39713 6565 41 if if IN 39713 6565 42 this this DT 39713 6565 43 form form NN 39713 6565 44 makes make VBZ 39713 6565 45 it -PRON- PRP 39713 6565 46 gain gain VB 39713 6565 47 much much JJ 39713 6565 48 in in IN 39713 6565 49 rigor rigor NN 39713 6565 50 and and CC 39713 6565 51 whether whether IN 39713 6565 52 it -PRON- PRP 39713 6565 53 thus thus RB 39713 6565 54 compensates compensate VBZ 39713 6565 55 for for IN 39713 6565 56 the the DT 39713 6565 57 efforts effort NNS 39713 6565 58 it -PRON- PRP 39713 6565 59 imposes impose VBZ 39713 6565 60 upon upon IN 39713 6565 61 the the DT 39713 6565 62 writer writer NN 39713 6565 63 and and CC 39713 6565 64 the the DT 39713 6565 65 reader reader NN 39713 6565 66 . . . 39713 6566 1 First first RB 39713 6566 2 we -PRON- PRP 39713 6566 3 see see VBP 39713 6566 4 Burali Burali NNP 39713 6566 5 - - HYPH 39713 6566 6 Forti Forti NNPS 39713 6566 7 define define VBP 39713 6566 8 the the DT 39713 6566 9 number number NN 39713 6566 10 1 1 CD 39713 6566 11 as as IN 39713 6566 12 follows follow VBZ 39713 6566 13 : : : 39713 6566 14 1 1 CD 39713 6566 15 = = SYM 39713 6566 16 [ [ -LRB- 39713 6566 17 iota]T'{Ko[(n_](u iota]t'{ko[(n_](u NN 39713 6566 18 , , , 39713 6566 19 h)[epsilon](u[epsilon]Un h)[epsilon](u[epsilon]Un NNP 39713 6566 20 ) ) -RRB- 39713 6566 21 } } -RRB- 39713 6566 22 , , , 39713 6566 23 a a DT 39713 6566 24 definition definition NN 39713 6566 25 eminently eminently RB 39713 6566 26 fitted fit VBD 39713 6566 27 to to TO 39713 6566 28 give give VB 39713 6566 29 an an DT 39713 6566 30 idea idea NN 39713 6566 31 of of IN 39713 6566 32 the the DT 39713 6566 33 number number NN 39713 6566 34 1 1 CD 39713 6566 35 to to IN 39713 6566 36 persons person NNS 39713 6566 37 who who WP 39713 6566 38 had have VBD 39713 6566 39 never never RB 39713 6566 40 heard hear VBN 39713 6566 41 speak speak VB 39713 6566 42 of of IN 39713 6566 43 it -PRON- PRP 39713 6566 44 . . . 39713 6567 1 I -PRON- PRP 39713 6567 2 understand understand VBP 39713 6567 3 Peanian Peanian NNP 39713 6567 4 too too RB 39713 6567 5 ill ill JJ 39713 6567 6 to to TO 39713 6567 7 dare dare VB 39713 6567 8 risk risk VB 39713 6567 9 a a DT 39713 6567 10 critique critique NN 39713 6567 11 , , , 39713 6567 12 but but CC 39713 6567 13 still still RB 39713 6567 14 I -PRON- PRP 39713 6567 15 fear fear VBP 39713 6567 16 this this DT 39713 6567 17 definition definition NN 39713 6567 18 contains contain VBZ 39713 6567 19 a a DT 39713 6567 20 petitio petitio NN 39713 6567 21 principii principii NN 39713 6567 22 , , , 39713 6567 23 considering consider VBG 39713 6567 24 that that IN 39713 6567 25 I -PRON- PRP 39713 6567 26 see see VBP 39713 6567 27 the the DT 39713 6567 28 figure figure NN 39713 6567 29 1 1 CD 39713 6567 30 in in IN 39713 6567 31 the the DT 39713 6567 32 first first JJ 39713 6567 33 member member NN 39713 6567 34 and and CC 39713 6567 35 Un Un NNP 39713 6567 36 in in IN 39713 6567 37 letters letter NNS 39713 6567 38 in in IN 39713 6567 39 the the DT 39713 6567 40 second second NN 39713 6567 41 . . . 39713 6568 1 However however RB 39713 6568 2 that that DT 39713 6568 3 may may MD 39713 6568 4 be be VB 39713 6568 5 , , , 39713 6568 6 Burali Burali NNP 39713 6568 7 - - HYPH 39713 6568 8 Forti Forti NNP 39713 6568 9 starts start VBZ 39713 6568 10 from from IN 39713 6568 11 this this DT 39713 6568 12 definition definition NN 39713 6568 13 and and CC 39713 6568 14 , , , 39713 6568 15 after after IN 39713 6568 16 a a DT 39713 6568 17 short short JJ 39713 6568 18 calculation calculation NN 39713 6568 19 , , , 39713 6568 20 reaches reach VBZ 39713 6568 21 the the DT 39713 6568 22 equation equation NN 39713 6568 23 : : : 39713 6568 24 ( ( -LRB- 39713 6568 25 27 27 CD 39713 6568 26 ) ) -RRB- 39713 6568 27 1[epsilon]No 1[epsilon]no CD 39713 6568 28 , , , 39713 6568 29 which which WDT 39713 6568 30 tells tell VBZ 39713 6568 31 us -PRON- PRP 39713 6568 32 that that IN 39713 6568 33 One one CD 39713 6568 34 is be VBZ 39713 6568 35 a a DT 39713 6568 36 number number NN 39713 6568 37 . . . 39713 6569 1 And and CC 39713 6569 2 since since IN 39713 6569 3 we -PRON- PRP 39713 6569 4 are be VBP 39713 6569 5 on on IN 39713 6569 6 these these DT 39713 6569 7 definitions definition NNS 39713 6569 8 of of IN 39713 6569 9 the the DT 39713 6569 10 first first JJ 39713 6569 11 numbers number NNS 39713 6569 12 , , , 39713 6569 13 we -PRON- PRP 39713 6569 14 recall recall VBP 39713 6569 15 that that IN 39713 6569 16 M. M. NNP 39713 6569 17 Couturat Couturat NNP 39713 6569 18 has have VBZ 39713 6569 19 also also RB 39713 6569 20 defined define VBN 39713 6569 21 0 0 CD 39713 6569 22 and and CC 39713 6569 23 1 1 CD 39713 6569 24 . . . 39713 6570 1 What what WP 39713 6570 2 is be VBZ 39713 6570 3 zero zero CD 39713 6570 4 ? ? . 39713 6571 1 It -PRON- PRP 39713 6571 2 is be VBZ 39713 6571 3 the the DT 39713 6571 4 number number NN 39713 6571 5 of of IN 39713 6571 6 elements element NNS 39713 6571 7 of of IN 39713 6571 8 the the DT 39713 6571 9 null null JJ 39713 6571 10 class class NN 39713 6571 11 . . . 39713 6572 1 And and CC 39713 6572 2 what what WP 39713 6572 3 is be VBZ 39713 6572 4 the the DT 39713 6572 5 null null JJ 39713 6572 6 class class NN 39713 6572 7 ? ? . 39713 6573 1 It -PRON- PRP 39713 6573 2 is be VBZ 39713 6573 3 that that IN 39713 6573 4 containing contain VBG 39713 6573 5 no no DT 39713 6573 6 element element NN 39713 6573 7 . . . 39713 6574 1 To to TO 39713 6574 2 define define VB 39713 6574 3 zero zero CD 39713 6574 4 by by IN 39713 6574 5 null null NN 39713 6574 6 , , , 39713 6574 7 and and CC 39713 6574 8 null null NN 39713 6574 9 by by IN 39713 6574 10 no no UH 39713 6574 11 , , , 39713 6574 12 is be VBZ 39713 6574 13 really really RB 39713 6574 14 to to TO 39713 6574 15 abuse abuse VB 39713 6574 16 the the DT 39713 6574 17 wealth wealth NN 39713 6574 18 of of IN 39713 6574 19 language language NN 39713 6574 20 ; ; : 39713 6574 21 so so CC 39713 6574 22 M. M. NNP 39713 6574 23 Couturat Couturat NNP 39713 6574 24 has have VBZ 39713 6574 25 introduced introduce VBN 39713 6574 26 an an DT 39713 6574 27 improvement improvement NN 39713 6574 28 in in IN 39713 6574 29 his -PRON- PRP$ 39713 6574 30 definition definition NN 39713 6574 31 , , , 39713 6574 32 by by IN 39713 6574 33 writing write VBG 39713 6574 34 : : : 39713 6574 35 0 0 NFP 39713 6574 36 = = SYM 39713 6574 37 [ [ -LRB- 39713 6574 38 iota][Lambda]:[phi]x iota][lambda]:[phi]x NN 39713 6574 39 = = NFP 39713 6574 40 [ [ -LRB- 39713 6574 41 Lambda]·[inverted Lambda]·[inverted NNP 39713 6574 42 c]·[Lambda c]·[Lambda . 39713 6574 43 ] ] -RRB- 39713 6574 44 = = FW 39713 6574 45 ( ( -LRB- 39713 6574 46 x[epsilon][phi]x x[epsilon][phi]x NNP 39713 6574 47 ) ) -RRB- 39713 6574 48 , , , 39713 6574 49 which which WDT 39713 6574 50 means mean VBZ 39713 6574 51 : : : 39713 6574 52 zero zero CD 39713 6574 53 is be VBZ 39713 6574 54 the the DT 39713 6574 55 number number NN 39713 6574 56 of of IN 39713 6574 57 things thing NNS 39713 6574 58 satisfying satisfy VBG 39713 6574 59 a a DT 39713 6574 60 condition condition NN 39713 6574 61 never never RB 39713 6574 62 satisfied satisfy VBD 39713 6574 63 . . . 39713 6575 1 But but CC 39713 6575 2 as as IN 39713 6575 3 never never RB 39713 6575 4 means mean VBZ 39713 6575 5 _ _ NNP 39713 6575 6 in in IN 39713 6575 7 no no DT 39713 6575 8 case case NN 39713 6575 9 _ _ NNP 39713 6575 10 I -PRON- PRP 39713 6575 11 do do VBP 39713 6575 12 not not RB 39713 6575 13 see see VB 39713 6575 14 that that IN 39713 6575 15 the the DT 39713 6575 16 progress progress NN 39713 6575 17 is be VBZ 39713 6575 18 great great JJ 39713 6575 19 . . . 39713 6576 1 I -PRON- PRP 39713 6576 2 hasten hasten VBP 39713 6576 3 to to TO 39713 6576 4 add add VB 39713 6576 5 that that IN 39713 6576 6 the the DT 39713 6576 7 definition definition NN 39713 6576 8 M. M. NNP 39713 6576 9 Couturat Couturat NNP 39713 6576 10 gives give VBZ 39713 6576 11 of of IN 39713 6576 12 the the DT 39713 6576 13 number number NN 39713 6576 14 1 1 CD 39713 6576 15 is be VBZ 39713 6576 16 more more RBR 39713 6576 17 satisfactory satisfactory JJ 39713 6576 18 . . . 39713 6577 1 One one CD 39713 6577 2 , , , 39713 6577 3 says say VBZ 39713 6577 4 he -PRON- PRP 39713 6577 5 in in IN 39713 6577 6 substance substance NN 39713 6577 7 , , , 39713 6577 8 is be VBZ 39713 6577 9 the the DT 39713 6577 10 number number NN 39713 6577 11 of of IN 39713 6577 12 elements element NNS 39713 6577 13 in in IN 39713 6577 14 a a DT 39713 6577 15 class class NN 39713 6577 16 in in IN 39713 6577 17 which which WDT 39713 6577 18 any any DT 39713 6577 19 two two CD 39713 6577 20 elements element NNS 39713 6577 21 are be VBP 39713 6577 22 identical identical JJ 39713 6577 23 . . . 39713 6578 1 It -PRON- PRP 39713 6578 2 is be VBZ 39713 6578 3 more more RBR 39713 6578 4 satisfactory satisfactory JJ 39713 6578 5 , , , 39713 6578 6 I -PRON- PRP 39713 6578 7 have have VBP 39713 6578 8 said say VBD 39713 6578 9 , , , 39713 6578 10 in in IN 39713 6578 11 this this DT 39713 6578 12 sense sense NN 39713 6578 13 that that IN 39713 6578 14 to to TO 39713 6578 15 define define VB 39713 6578 16 1 1 CD 39713 6578 17 , , , 39713 6578 18 he -PRON- PRP 39713 6578 19 does do VBZ 39713 6578 20 not not RB 39713 6578 21 use use VB 39713 6578 22 the the DT 39713 6578 23 word word NN 39713 6578 24 one one CD 39713 6578 25 ; ; : 39713 6578 26 in in IN 39713 6578 27 compensation compensation NN 39713 6578 28 , , , 39713 6578 29 he -PRON- PRP 39713 6578 30 uses use VBZ 39713 6578 31 the the DT 39713 6578 32 word word NN 39713 6578 33 two two CD 39713 6578 34 . . . 39713 6579 1 But but CC 39713 6579 2 I -PRON- PRP 39713 6579 3 fear fear VBP 39713 6579 4 , , , 39713 6579 5 if if IN 39713 6579 6 asked ask VBN 39713 6579 7 what what WP 39713 6579 8 is be VBZ 39713 6579 9 two two CD 39713 6579 10 , , , 39713 6579 11 M. M. NNP 39713 6579 12 Couturat Couturat NNP 39713 6579 13 would would MD 39713 6579 14 have have VB 39713 6579 15 to to TO 39713 6579 16 use use VB 39713 6579 17 the the DT 39713 6579 18 word word NN 39713 6579 19 one one CD 39713 6579 20 . . . 39713 6580 1 VIII VIII NNP 39713 6580 2 But but CC 39713 6580 3 to to TO 39713 6580 4 return return VB 39713 6580 5 to to IN 39713 6580 6 the the DT 39713 6580 7 memoir memoir NN 39713 6580 8 of of IN 39713 6580 9 Burali Burali NNP 39713 6580 10 - - HYPH 39713 6580 11 Forti Forti NNP 39713 6580 12 ; ; : 39713 6580 13 I -PRON- PRP 39713 6580 14 have have VBP 39713 6580 15 said say VBN 39713 6580 16 his -PRON- PRP$ 39713 6580 17 conclusions conclusion NNS 39713 6580 18 are be VBP 39713 6580 19 in in IN 39713 6580 20 direct direct JJ 39713 6580 21 opposition opposition NN 39713 6580 22 to to IN 39713 6580 23 those those DT 39713 6580 24 of of IN 39713 6580 25 Cantor Cantor NNP 39713 6580 26 . . . 39713 6581 1 Now now RB 39713 6581 2 , , , 39713 6581 3 one one CD 39713 6581 4 day day NN 39713 6581 5 M. M. NNP 39713 6581 6 Hadamard Hadamard NNP 39713 6581 7 came come VBD 39713 6581 8 to to TO 39713 6581 9 see see VB 39713 6581 10 me -PRON- PRP 39713 6581 11 and and CC 39713 6581 12 the the DT 39713 6581 13 talk talk NN 39713 6581 14 fell fall VBD 39713 6581 15 upon upon IN 39713 6581 16 this this DT 39713 6581 17 antinomy antinomy NN 39713 6581 18 . . . 39713 6582 1 " " `` 39713 6582 2 Burali Burali NNP 39713 6582 3 - - HYPH 39713 6582 4 Forti Forti NNP 39713 6582 5 's 's POS 39713 6582 6 reasoning reasoning NN 39713 6582 7 , , , 39713 6582 8 " " `` 39713 6582 9 I -PRON- PRP 39713 6582 10 said say VBD 39713 6582 11 , , , 39713 6582 12 " " `` 39713 6582 13 does do VBZ 39713 6582 14 it -PRON- PRP 39713 6582 15 not not RB 39713 6582 16 seem seem VB 39713 6582 17 to to IN 39713 6582 18 you -PRON- PRP 39713 6582 19 irreproachable irreproachable JJ 39713 6582 20 ? ? . 39713 6582 21 " " '' 39713 6583 1 " " `` 39713 6583 2 No no UH 39713 6583 3 , , , 39713 6583 4 and and CC 39713 6583 5 on on IN 39713 6583 6 the the DT 39713 6583 7 contrary contrary NN 39713 6583 8 I -PRON- PRP 39713 6583 9 find find VBP 39713 6583 10 nothing nothing NN 39713 6583 11 to to TO 39713 6583 12 object object VB 39713 6583 13 to to IN 39713 6583 14 in in IN 39713 6583 15 that that DT 39713 6583 16 of of IN 39713 6583 17 Cantor Cantor NNP 39713 6583 18 . . . 39713 6584 1 Besides besides RB 39713 6584 2 , , , 39713 6584 3 Burali Burali NNP 39713 6584 4 - - HYPH 39713 6584 5 Forti Forti NNP 39713 6584 6 had have VBD 39713 6584 7 no no DT 39713 6584 8 right right NN 39713 6584 9 to to TO 39713 6584 10 speak speak VB 39713 6584 11 of of IN 39713 6584 12 the the DT 39713 6584 13 aggregate aggregate NN 39713 6584 14 of of IN 39713 6584 15 _ _ NNP 39713 6584 16 all all DT 39713 6584 17 _ _ NNP 39713 6584 18 the the DT 39713 6584 19 ordinal ordinal JJ 39713 6584 20 numbers number NNS 39713 6584 21 . . . 39713 6584 22 " " '' 39713 6585 1 " " `` 39713 6585 2 Pardon Pardon NNP 39713 6585 3 , , , 39713 6585 4 he -PRON- PRP 39713 6585 5 had have VBD 39713 6585 6 the the DT 39713 6585 7 right right NN 39713 6585 8 , , , 39713 6585 9 since since IN 39713 6585 10 he -PRON- PRP 39713 6585 11 could could MD 39713 6585 12 always always RB 39713 6585 13 put put VB 39713 6585 14 [ [ -LRB- 39713 6585 15 Omega omega NN 39713 6585 16 ] ] -RRB- 39713 6585 17 = = SYM 39713 6585 18 T'(No,[epsilon t'(no,[epsilon NN 39713 6585 19 ] ] -RRB- 39713 6585 20 > > XX 39713 6585 21 ) ) -RRB- 39713 6585 22 . . . 39713 6586 1 I -PRON- PRP 39713 6586 2 should should MD 39713 6586 3 like like VB 39713 6586 4 to to TO 39713 6586 5 know know VB 39713 6586 6 who who WP 39713 6586 7 was be VBD 39713 6586 8 to to TO 39713 6586 9 prevent prevent VB 39713 6586 10 him -PRON- PRP 39713 6586 11 , , , 39713 6586 12 and and CC 39713 6586 13 can can MD 39713 6586 14 it -PRON- PRP 39713 6586 15 be be VB 39713 6586 16 said say VBN 39713 6586 17 a a DT 39713 6586 18 thing thing NN 39713 6586 19 does do VBZ 39713 6586 20 not not RB 39713 6586 21 exist exist VB 39713 6586 22 , , , 39713 6586 23 when when WRB 39713 6586 24 we -PRON- PRP 39713 6586 25 have have VBP 39713 6586 26 called call VBN 39713 6586 27 it -PRON- PRP 39713 6586 28 [ [ -LRB- 39713 6586 29 Omega omega NN 39713 6586 30 ] ] -RRB- 39713 6586 31 ? ? . 39713 6586 32 " " '' 39713 6587 1 It -PRON- PRP 39713 6587 2 was be VBD 39713 6587 3 in in IN 39713 6587 4 vain vain JJ 39713 6587 5 , , , 39713 6587 6 I -PRON- PRP 39713 6587 7 could could MD 39713 6587 8 not not RB 39713 6587 9 convince convince VB 39713 6587 10 him -PRON- PRP 39713 6587 11 ( ( -LRB- 39713 6587 12 which which WDT 39713 6587 13 besides besides RB 39713 6587 14 would would MD 39713 6587 15 have have VB 39713 6587 16 been be VBN 39713 6587 17 sad sad JJ 39713 6587 18 , , , 39713 6587 19 since since IN 39713 6587 20 he -PRON- PRP 39713 6587 21 was be VBD 39713 6587 22 right right JJ 39713 6587 23 ) ) -RRB- 39713 6587 24 . . . 39713 6588 1 Was be VBD 39713 6588 2 it -PRON- PRP 39713 6588 3 merely merely RB 39713 6588 4 because because IN 39713 6588 5 I -PRON- PRP 39713 6588 6 do do VBP 39713 6588 7 not not RB 39713 6588 8 speak speak VB 39713 6588 9 the the DT 39713 6588 10 Peanian Peanian NNP 39713 6588 11 with with IN 39713 6588 12 enough enough JJ 39713 6588 13 eloquence eloquence NN 39713 6588 14 ? ? . 39713 6589 1 Perhaps perhaps RB 39713 6589 2 ; ; : 39713 6589 3 but but CC 39713 6589 4 between between IN 39713 6589 5 ourselves -PRON- PRP 39713 6589 6 I -PRON- PRP 39713 6589 7 do do VBP 39713 6589 8 not not RB 39713 6589 9 think think VB 39713 6589 10 so so RB 39713 6589 11 . . . 39713 6590 1 Thus thus RB 39713 6590 2 , , , 39713 6590 3 despite despite IN 39713 6590 4 all all PDT 39713 6590 5 this this DT 39713 6590 6 pasigraphic pasigraphic JJ 39713 6590 7 apparatus apparatus NN 39713 6590 8 , , , 39713 6590 9 the the DT 39713 6590 10 question question NN 39713 6590 11 was be VBD 39713 6590 12 not not RB 39713 6590 13 solved solve VBN 39713 6590 14 . . . 39713 6591 1 What what WP 39713 6591 2 does do VBZ 39713 6591 3 that that DT 39713 6591 4 prove prove VB 39713 6591 5 ? ? . 39713 6592 1 In in IN 39713 6592 2 so so RB 39713 6592 3 far far RB 39713 6592 4 as as IN 39713 6592 5 it -PRON- PRP 39713 6592 6 is be VBZ 39713 6592 7 a a DT 39713 6592 8 question question NN 39713 6592 9 only only RB 39713 6592 10 of of IN 39713 6592 11 proving prove VBG 39713 6592 12 one one CD 39713 6592 13 a a DT 39713 6592 14 number number NN 39713 6592 15 , , , 39713 6592 16 pasigraphy pasigraphy NN 39713 6592 17 suffices suffice NNS 39713 6592 18 , , , 39713 6592 19 but but CC 39713 6592 20 if if IN 39713 6592 21 a a DT 39713 6592 22 difficulty difficulty NN 39713 6592 23 presents present VBZ 39713 6592 24 itself -PRON- PRP 39713 6592 25 , , , 39713 6592 26 if if IN 39713 6592 27 there there EX 39713 6592 28 is be VBZ 39713 6592 29 an an DT 39713 6592 30 antinomy antinomy NN 39713 6592 31 to to TO 39713 6592 32 solve solve VB 39713 6592 33 , , , 39713 6592 34 pasigraphy pasigraphy NN 39713 6592 35 becomes become VBZ 39713 6592 36 impotent impotent NN 39713 6592 37 . . . 39713 6593 1 CHAPTER CHAPTER NNP 39713 6593 2 IV IV NNP 39713 6593 3 THE the DT 39713 6593 4 NEW NEW NNP 39713 6593 5 LOGICS LOGICS NNP 39713 6593 6 I -PRON- PRP 39713 6593 7 _ _ VBP 39713 6593 8 The the DT 39713 6593 9 Russell Russell NNP 39713 6593 10 Logic Logic NNP 39713 6593 11 _ _ NNP 39713 6593 12 To to TO 39713 6593 13 justify justify VB 39713 6593 14 its -PRON- PRP$ 39713 6593 15 pretensions pretension NNS 39713 6593 16 , , , 39713 6593 17 logic logic NN 39713 6593 18 had have VBD 39713 6593 19 to to TO 39713 6593 20 change change VB 39713 6593 21 . . . 39713 6594 1 We -PRON- PRP 39713 6594 2 have have VBP 39713 6594 3 seen see VBN 39713 6594 4 new new JJ 39713 6594 5 logics logic NNS 39713 6594 6 arise arise NN 39713 6594 7 of of IN 39713 6594 8 which which WDT 39713 6594 9 the the DT 39713 6594 10 most most RBS 39713 6594 11 interesting interesting JJ 39713 6594 12 is be VBZ 39713 6594 13 that that DT 39713 6594 14 of of IN 39713 6594 15 Russell Russell NNP 39713 6594 16 . . . 39713 6595 1 It -PRON- PRP 39713 6595 2 seems seem VBZ 39713 6595 3 he -PRON- PRP 39713 6595 4 has have VBZ 39713 6595 5 nothing nothing NN 39713 6595 6 new new JJ 39713 6595 7 to to TO 39713 6595 8 write write VB 39713 6595 9 about about IN 39713 6595 10 formal formal JJ 39713 6595 11 logic logic NN 39713 6595 12 , , , 39713 6595 13 as as IN 39713 6595 14 if if IN 39713 6595 15 Aristotle Aristotle NNP 39713 6595 16 there there RB 39713 6595 17 had have VBD 39713 6595 18 touched touch VBN 39713 6595 19 bottom bottom NN 39713 6595 20 . . . 39713 6596 1 But but CC 39713 6596 2 the the DT 39713 6596 3 domain domain NN 39713 6596 4 Russell Russell NNP 39713 6596 5 attributes attribute VBZ 39713 6596 6 to to IN 39713 6596 7 logic logic NN 39713 6596 8 is be VBZ 39713 6596 9 infinitely infinitely RB 39713 6596 10 more more RBR 39713 6596 11 extended extended JJ 39713 6596 12 than than IN 39713 6596 13 that that DT 39713 6596 14 of of IN 39713 6596 15 the the DT 39713 6596 16 classic classic JJ 39713 6596 17 logic logic NN 39713 6596 18 , , , 39713 6596 19 and and CC 39713 6596 20 he -PRON- PRP 39713 6596 21 has have VBZ 39713 6596 22 put put VBN 39713 6596 23 forth forth RP 39713 6596 24 on on IN 39713 6596 25 the the DT 39713 6596 26 subject subject JJ 39713 6596 27 views view NNS 39713 6596 28 which which WDT 39713 6596 29 are be VBP 39713 6596 30 original original JJ 39713 6596 31 and and CC 39713 6596 32 at at IN 39713 6596 33 times time NNS 39713 6596 34 well well RB 39713 6596 35 warranted warrant VBN 39713 6596 36 . . . 39713 6597 1 First first RB 39713 6597 2 , , , 39713 6597 3 Russell Russell NNP 39713 6597 4 subordinates subordinate VBZ 39713 6597 5 the the DT 39713 6597 6 logic logic NN 39713 6597 7 of of IN 39713 6597 8 classes class NNS 39713 6597 9 to to IN 39713 6597 10 that that DT 39713 6597 11 of of IN 39713 6597 12 propositions proposition NNS 39713 6597 13 , , , 39713 6597 14 while while IN 39713 6597 15 the the DT 39713 6597 16 logic logic NN 39713 6597 17 of of IN 39713 6597 18 Aristotle Aristotle NNP 39713 6597 19 was be VBD 39713 6597 20 above above IN 39713 6597 21 all all PDT 39713 6597 22 the the DT 39713 6597 23 logic logic NN 39713 6597 24 of of IN 39713 6597 25 classes class NNS 39713 6597 26 and and CC 39713 6597 27 took take VBD 39713 6597 28 as as IN 39713 6597 29 its -PRON- PRP$ 39713 6597 30 point point NN 39713 6597 31 of of IN 39713 6597 32 departure departure NN 39713 6597 33 the the DT 39713 6597 34 relation relation NN 39713 6597 35 of of IN 39713 6597 36 subject subject NN 39713 6597 37 to to IN 39713 6597 38 predicate predicate NN 39713 6597 39 . . . 39713 6598 1 The the DT 39713 6598 2 classic classic JJ 39713 6598 3 syllogism syllogism NN 39713 6598 4 , , , 39713 6598 5 " " `` 39713 6598 6 Socrates Socrates NNP 39713 6598 7 is be VBZ 39713 6598 8 a a DT 39713 6598 9 man man NN 39713 6598 10 , , , 39713 6598 11 " " '' 39713 6598 12 etc etc FW 39713 6598 13 . . . 39713 6598 14 , , , 39713 6598 15 gives give VBZ 39713 6598 16 place place NN 39713 6598 17 to to IN 39713 6598 18 the the DT 39713 6598 19 hypothetical hypothetical JJ 39713 6598 20 syllogism syllogism NN 39713 6598 21 : : : 39713 6598 22 " " `` 39713 6598 23 If if IN 39713 6598 24 _ _ NNP 39713 6598 25 A A NNP 39713 6598 26 _ _ NNP 39713 6598 27 is be VBZ 39713 6598 28 true true JJ 39713 6598 29 , , , 39713 6598 30 _ _ NNP 39713 6598 31 B B NNP 39713 6598 32 _ _ NNP 39713 6598 33 is be VBZ 39713 6598 34 true true JJ 39713 6598 35 ; ; : 39713 6598 36 now now RB 39713 6598 37 if if IN 39713 6598 38 _ _ NNP 39713 6598 39 B B NNP 39713 6598 40 _ _ NNP 39713 6598 41 is be VBZ 39713 6598 42 true true JJ 39713 6598 43 , , , 39713 6598 44 _ _ NNP 39713 6598 45 C C NNP 39713 6598 46 _ _ NNP 39713 6598 47 is be VBZ 39713 6598 48 true true JJ 39713 6598 49 , , , 39713 6598 50 " " '' 39713 6598 51 etc etc FW 39713 6598 52 . . . 39713 6599 1 And and CC 39713 6599 2 this this DT 39713 6599 3 is be VBZ 39713 6599 4 , , , 39713 6599 5 I -PRON- PRP 39713 6599 6 think think VBP 39713 6599 7 , , , 39713 6599 8 a a DT 39713 6599 9 most most RBS 39713 6599 10 happy happy JJ 39713 6599 11 idea idea NN 39713 6599 12 , , , 39713 6599 13 because because IN 39713 6599 14 the the DT 39713 6599 15 classic classic JJ 39713 6599 16 syllogism syllogism NN 39713 6599 17 is be VBZ 39713 6599 18 easy easy JJ 39713 6599 19 to to TO 39713 6599 20 carry carry VB 39713 6599 21 back back RB 39713 6599 22 to to IN 39713 6599 23 the the DT 39713 6599 24 hypothetical hypothetical JJ 39713 6599 25 syllogism syllogism NN 39713 6599 26 , , , 39713 6599 27 while while IN 39713 6599 28 the the DT 39713 6599 29 inverse inverse NN 39713 6599 30 transformation transformation NN 39713 6599 31 is be VBZ 39713 6599 32 not not RB 39713 6599 33 without without IN 39713 6599 34 difficulty difficulty NN 39713 6599 35 . . . 39713 6600 1 And and CC 39713 6600 2 then then RB 39713 6600 3 this this DT 39713 6600 4 is be VBZ 39713 6600 5 not not RB 39713 6600 6 all all DT 39713 6600 7 . . . 39713 6601 1 Russell Russell NNP 39713 6601 2 's 's POS 39713 6601 3 logic logic NN 39713 6601 4 of of IN 39713 6601 5 propositions proposition NNS 39713 6601 6 is be VBZ 39713 6601 7 the the DT 39713 6601 8 study study NN 39713 6601 9 of of IN 39713 6601 10 the the DT 39713 6601 11 laws law NNS 39713 6601 12 of of IN 39713 6601 13 combination combination NN 39713 6601 14 of of IN 39713 6601 15 the the DT 39713 6601 16 conjunctions conjunction NNS 39713 6601 17 _ _ NNP 39713 6601 18 if if IN 39713 6601 19 _ _ NNP 39713 6601 20 , , , 39713 6601 21 _ _ NNP 39713 6601 22 and and CC 39713 6601 23 _ _ NNP 39713 6601 24 , , , 39713 6601 25 _ _ NNP 39713 6601 26 or or CC 39713 6601 27 _ _ NNP 39713 6601 28 , , , 39713 6601 29 and and CC 39713 6601 30 the the DT 39713 6601 31 negation negation NN 39713 6601 32 _ _ NNP 39713 6601 33 not not RB 39713 6601 34 _ _ NNP 39713 6601 35 . . . 39713 6602 1 In in IN 39713 6602 2 adding add VBG 39713 6602 3 here here RB 39713 6602 4 two two CD 39713 6602 5 other other JJ 39713 6602 6 conjunctions conjunction NNS 39713 6602 7 , , , 39713 6602 8 _ _ NNP 39713 6602 9 and and CC 39713 6602 10 _ _ NNP 39713 6602 11 and and CC 39713 6602 12 _ _ NNP 39713 6602 13 or or CC 39713 6602 14 _ _ NNP 39713 6602 15 , , , 39713 6602 16 Russell Russell NNP 39713 6602 17 opens open VBZ 39713 6602 18 to to TO 39713 6602 19 logic logic VB 39713 6602 20 a a DT 39713 6602 21 new new JJ 39713 6602 22 field field NN 39713 6602 23 . . . 39713 6603 1 The the DT 39713 6603 2 symbols symbol NNS 39713 6603 3 _ _ NNP 39713 6603 4 and and CC 39713 6603 5 _ _ NNP 39713 6603 6 , , , 39713 6603 7 _ _ NNP 39713 6603 8 or or CC 39713 6603 9 _ _ NNP 39713 6603 10 follow follow VBP 39713 6603 11 the the DT 39713 6603 12 same same JJ 39713 6603 13 laws law NNS 39713 6603 14 as as IN 39713 6603 15 the the DT 39713 6603 16 two two CD 39713 6603 17 signs sign NNS 39713 6603 18 × × NNS 39713 6603 19 and and CC 39713 6603 20 + + SYM 39713 6603 21 , , , 39713 6603 22 that that DT 39713 6603 23 is be VBZ 39713 6603 24 to to TO 39713 6603 25 say say VB 39713 6603 26 the the DT 39713 6603 27 commutative commutative JJ 39713 6603 28 associative associative JJ 39713 6603 29 and and CC 39713 6603 30 distributive distributive JJ 39713 6603 31 laws law NNS 39713 6603 32 . . . 39713 6604 1 Thus thus RB 39713 6604 2 _ _ NNP 39713 6604 3 and and CC 39713 6604 4 _ _ NNP 39713 6604 5 represents represent VBZ 39713 6604 6 logical logical JJ 39713 6604 7 multiplication multiplication NN 39713 6604 8 , , , 39713 6604 9 while while IN 39713 6604 10 _ _ NNP 39713 6604 11 or or CC 39713 6604 12 _ _ NNP 39713 6604 13 represents represent VBZ 39713 6604 14 logical logical JJ 39713 6604 15 addition addition NN 39713 6604 16 . . . 39713 6605 1 This this DT 39713 6605 2 also also RB 39713 6605 3 is be VBZ 39713 6605 4 very very RB 39713 6605 5 interesting interesting JJ 39713 6605 6 . . . 39713 6606 1 Russell Russell NNP 39713 6606 2 reaches reach VBZ 39713 6606 3 the the DT 39713 6606 4 conclusion conclusion NN 39713 6606 5 that that IN 39713 6606 6 any any DT 39713 6606 7 false false JJ 39713 6606 8 proposition proposition NN 39713 6606 9 implies imply VBZ 39713 6606 10 all all DT 39713 6606 11 other other JJ 39713 6606 12 propositions proposition NNS 39713 6606 13 true true JJ 39713 6606 14 or or CC 39713 6606 15 false false JJ 39713 6606 16 . . . 39713 6607 1 M. M. NNP 39713 6607 2 Couturat Couturat NNP 39713 6607 3 says say VBZ 39713 6607 4 this this DT 39713 6607 5 conclusion conclusion NN 39713 6607 6 will will MD 39713 6607 7 at at IN 39713 6607 8 first first RB 39713 6607 9 seem seem VB 39713 6607 10 paradoxical paradoxical JJ 39713 6607 11 . . . 39713 6608 1 It -PRON- PRP 39713 6608 2 is be VBZ 39713 6608 3 sufficient sufficient JJ 39713 6608 4 however however RB 39713 6608 5 to to TO 39713 6608 6 have have VB 39713 6608 7 corrected correct VBN 39713 6608 8 a a DT 39713 6608 9 bad bad JJ 39713 6608 10 thesis thesis NN 39713 6608 11 in in IN 39713 6608 12 mathematics mathematic NNS 39713 6608 13 to to TO 39713 6608 14 recognize recognize VB 39713 6608 15 how how WRB 39713 6608 16 right right JJ 39713 6608 17 Russell Russell NNP 39713 6608 18 is be VBZ 39713 6608 19 . . . 39713 6609 1 The the DT 39713 6609 2 candidate candidate NN 39713 6609 3 often often RB 39713 6609 4 is be VBZ 39713 6609 5 at at IN 39713 6609 6 great great JJ 39713 6609 7 pains pain NNS 39713 6609 8 to to TO 39713 6609 9 get get VB 39713 6609 10 the the DT 39713 6609 11 first first JJ 39713 6609 12 false false JJ 39713 6609 13 equation equation NN 39713 6609 14 ; ; : 39713 6609 15 but but CC 39713 6609 16 that that IN 39713 6609 17 once once RB 39713 6609 18 obtained obtain VBD 39713 6609 19 , , , 39713 6609 20 it -PRON- PRP 39713 6609 21 is be VBZ 39713 6609 22 only only RB 39713 6609 23 sport sport NN 39713 6609 24 then then RB 39713 6609 25 for for IN 39713 6609 26 him -PRON- PRP 39713 6609 27 to to TO 39713 6609 28 accumulate accumulate VB 39713 6609 29 the the DT 39713 6609 30 most most RBS 39713 6609 31 surprising surprising JJ 39713 6609 32 results result NNS 39713 6609 33 , , , 39713 6609 34 some some DT 39713 6609 35 of of IN 39713 6609 36 which which WDT 39713 6609 37 even even RB 39713 6609 38 may may MD 39713 6609 39 be be VB 39713 6609 40 true true JJ 39713 6609 41 . . . 39713 6610 1 II II NNP 39713 6610 2 We -PRON- PRP 39713 6610 3 see see VBP 39713 6610 4 how how WRB 39713 6610 5 much much RB 39713 6610 6 richer rich JJR 39713 6610 7 the the DT 39713 6610 8 new new JJ 39713 6610 9 logic logic NN 39713 6610 10 is be VBZ 39713 6610 11 than than IN 39713 6610 12 the the DT 39713 6610 13 classic classic JJ 39713 6610 14 logic logic NN 39713 6610 15 ; ; : 39713 6610 16 the the DT 39713 6610 17 symbols symbol NNS 39713 6610 18 are be VBP 39713 6610 19 multiplied multiply VBN 39713 6610 20 and and CC 39713 6610 21 allow allow VBP 39713 6610 22 of of IN 39713 6610 23 varied varied JJ 39713 6610 24 combinations combination NNS 39713 6610 25 _ _ NNP 39713 6610 26 which which WDT 39713 6610 27 are be VBP 39713 6610 28 no no RB 39713 6610 29 longer long RBR 39713 6610 30 limited limit VBN 39713 6610 31 in in IN 39713 6610 32 number number NN 39713 6610 33 _ _ NNP 39713 6610 34 . . . 39713 6611 1 Has have VBZ 39713 6611 2 one one CD 39713 6611 3 the the DT 39713 6611 4 right right NN 39713 6611 5 to to TO 39713 6611 6 give give VB 39713 6611 7 this this DT 39713 6611 8 extension extension NN 39713 6611 9 to to IN 39713 6611 10 the the DT 39713 6611 11 meaning meaning NN 39713 6611 12 of of IN 39713 6611 13 the the DT 39713 6611 14 word word NN 39713 6611 15 _ _ NNP 39713 6611 16 logic logic NN 39713 6611 17 _ _ NNP 39713 6611 18 ? ? . 39713 6612 1 It -PRON- PRP 39713 6612 2 would would MD 39713 6612 3 be be VB 39713 6612 4 useless useless JJ 39713 6612 5 to to TO 39713 6612 6 examine examine VB 39713 6612 7 this this DT 39713 6612 8 question question NN 39713 6612 9 and and CC 39713 6612 10 to to TO 39713 6612 11 seek seek VB 39713 6612 12 with with IN 39713 6612 13 Russell Russell NNP 39713 6612 14 a a DT 39713 6612 15 mere mere JJ 39713 6612 16 quarrel quarrel NN 39713 6612 17 about about IN 39713 6612 18 words word NNS 39713 6612 19 . . . 39713 6613 1 Grant grant VB 39713 6613 2 him -PRON- PRP 39713 6613 3 what what WP 39713 6613 4 he -PRON- PRP 39713 6613 5 demands demand VBZ 39713 6613 6 ; ; : 39713 6613 7 but but CC 39713 6613 8 be be VB 39713 6613 9 not not RB 39713 6613 10 astonished astonish VBN 39713 6613 11 if if IN 39713 6613 12 certain certain JJ 39713 6613 13 verities verity NNS 39713 6613 14 declared declare VBD 39713 6613 15 irreducible irreducible JJ 39713 6613 16 to to IN 39713 6613 17 logic logic VB 39713 6613 18 in in IN 39713 6613 19 the the DT 39713 6613 20 old old JJ 39713 6613 21 sense sense NN 39713 6613 22 of of IN 39713 6613 23 the the DT 39713 6613 24 word word NN 39713 6613 25 find find VBP 39713 6613 26 themselves -PRON- PRP 39713 6613 27 now now RB 39713 6613 28 reducible reducible JJ 39713 6613 29 to to IN 39713 6613 30 logic logic NN 39713 6613 31 in in IN 39713 6613 32 the the DT 39713 6613 33 new new JJ 39713 6613 34 sense sense NN 39713 6613 35 -- -- : 39713 6613 36 something something NN 39713 6613 37 very very RB 39713 6613 38 different different JJ 39713 6613 39 . . . 39713 6614 1 A a DT 39713 6614 2 great great JJ 39713 6614 3 number number NN 39713 6614 4 of of IN 39713 6614 5 new new JJ 39713 6614 6 notions notion NNS 39713 6614 7 have have VBP 39713 6614 8 been be VBN 39713 6614 9 introduced introduce VBN 39713 6614 10 , , , 39713 6614 11 and and CC 39713 6614 12 these these DT 39713 6614 13 are be VBP 39713 6614 14 not not RB 39713 6614 15 simply simply RB 39713 6614 16 combinations combination NNS 39713 6614 17 of of IN 39713 6614 18 the the DT 39713 6614 19 old old JJ 39713 6614 20 . . . 39713 6615 1 Russell Russell NNP 39713 6615 2 knows know VBZ 39713 6615 3 this this DT 39713 6615 4 , , , 39713 6615 5 and and CC 39713 6615 6 not not RB 39713 6615 7 only only RB 39713 6615 8 at at IN 39713 6615 9 the the DT 39713 6615 10 beginning beginning NN 39713 6615 11 of of IN 39713 6615 12 the the DT 39713 6615 13 first first JJ 39713 6615 14 chapter chapter NN 39713 6615 15 , , , 39713 6615 16 ' ' '' 39713 6615 17 The the DT 39713 6615 18 Logic Logic NNP 39713 6615 19 of of IN 39713 6615 20 Propositions Propositions NNPS 39713 6615 21 , , , 39713 6615 22 ' ' '' 39713 6615 23 but but CC 39713 6615 24 at at IN 39713 6615 25 the the DT 39713 6615 26 beginning beginning NN 39713 6615 27 of of IN 39713 6615 28 the the DT 39713 6615 29 second second JJ 39713 6615 30 and and CC 39713 6615 31 third third JJ 39713 6615 32 , , , 39713 6615 33 ' ' '' 39713 6615 34 The the DT 39713 6615 35 Logic Logic NNP 39713 6615 36 of of IN 39713 6615 37 Classes Classes NNPS 39713 6615 38 ' ' POS 39713 6615 39 and and CC 39713 6615 40 ' ' '' 39713 6615 41 The the DT 39713 6615 42 Logic Logic NNP 39713 6615 43 of of IN 39713 6615 44 Relations Relations NNPS 39713 6615 45 , , , 39713 6615 46 ' ' '' 39713 6615 47 he -PRON- PRP 39713 6615 48 introduces introduce VBZ 39713 6615 49 new new JJ 39713 6615 50 words word NNS 39713 6615 51 that that WDT 39713 6615 52 he -PRON- PRP 39713 6615 53 declares declare VBZ 39713 6615 54 indefinable indefinable JJ 39713 6615 55 . . . 39713 6616 1 And and CC 39713 6616 2 this this DT 39713 6616 3 is be VBZ 39713 6616 4 not not RB 39713 6616 5 all all DT 39713 6616 6 ; ; : 39713 6616 7 he -PRON- PRP 39713 6616 8 likewise likewise RB 39713 6616 9 introduces introduce VBZ 39713 6616 10 principles principle NNS 39713 6616 11 he -PRON- PRP 39713 6616 12 declares declare VBZ 39713 6616 13 indemonstrable indemonstrable JJ 39713 6616 14 . . . 39713 6617 1 But but CC 39713 6617 2 these these DT 39713 6617 3 indemonstrable indemonstrable JJ 39713 6617 4 principles principle NNS 39713 6617 5 are be VBP 39713 6617 6 appeals appeal NNS 39713 6617 7 to to TO 39713 6617 8 intuition intuition VB 39713 6617 9 , , , 39713 6617 10 synthetic synthetic JJ 39713 6617 11 judgments judgment NNS 39713 6617 12 _ _ NNP 39713 6617 13 a a DT 39713 6617 14 priori priori FW 39713 6617 15 _ _ NNP 39713 6617 16 . . . 39713 6618 1 We -PRON- PRP 39713 6618 2 regard regard VBP 39713 6618 3 them -PRON- PRP 39713 6618 4 as as RB 39713 6618 5 intuitive intuitive JJ 39713 6618 6 when when WRB 39713 6618 7 we -PRON- PRP 39713 6618 8 meet meet VBP 39713 6618 9 them -PRON- PRP 39713 6618 10 more more RBR 39713 6618 11 or or CC 39713 6618 12 less less RBR 39713 6618 13 explicitly explicitly RB 39713 6618 14 enunciated enunciate VBN 39713 6618 15 in in IN 39713 6618 16 mathematical mathematical JJ 39713 6618 17 treatises treatise NNS 39713 6618 18 ; ; : 39713 6618 19 have have VBP 39713 6618 20 they -PRON- PRP 39713 6618 21 changed change VBN 39713 6618 22 character character NN 39713 6618 23 because because IN 39713 6618 24 the the DT 39713 6618 25 meaning meaning NN 39713 6618 26 of of IN 39713 6618 27 the the DT 39713 6618 28 word word NN 39713 6618 29 logic logic NN 39713 6618 30 has have VBZ 39713 6618 31 been be VBN 39713 6618 32 enlarged enlarge VBN 39713 6618 33 and and CC 39713 6618 34 we -PRON- PRP 39713 6618 35 now now RB 39713 6618 36 find find VBP 39713 6618 37 them -PRON- PRP 39713 6618 38 in in IN 39713 6618 39 a a DT 39713 6618 40 book book NN 39713 6618 41 entitled entitle VBN 39713 6618 42 _ _ NNP 39713 6618 43 Treatise Treatise NNP 39713 6618 44 on on IN 39713 6618 45 Logic Logic NNP 39713 6618 46 _ _ NNP 39713 6618 47 ? ? . 39713 6619 1 _ _ NNP 39713 6619 2 They -PRON- PRP 39713 6619 3 have have VBP 39713 6619 4 not not RB 39713 6619 5 changed change VBN 39713 6619 6 nature nature NN 39713 6619 7 ; ; : 39713 6619 8 they -PRON- PRP 39713 6619 9 have have VBP 39713 6619 10 only only RB 39713 6619 11 changed change VBN 39713 6619 12 place place NN 39713 6619 13 . . . 39713 6619 14 _ _ NNP 39713 6619 15 III III NNP 39713 6619 16 Could Could MD 39713 6619 17 these these DT 39713 6619 18 principles principle NNS 39713 6619 19 be be VB 39713 6619 20 considered consider VBN 39713 6619 21 as as IN 39713 6619 22 disguised disguised JJ 39713 6619 23 definitions definition NNS 39713 6619 24 ? ? . 39713 6620 1 It -PRON- PRP 39713 6620 2 would would MD 39713 6620 3 then then RB 39713 6620 4 be be VB 39713 6620 5 necessary necessary JJ 39713 6620 6 to to TO 39713 6620 7 have have VB 39713 6620 8 some some DT 39713 6620 9 way way NN 39713 6620 10 of of IN 39713 6620 11 proving proving NN 39713 6620 12 that that IN 39713 6620 13 they -PRON- PRP 39713 6620 14 imply imply VBP 39713 6620 15 no no DT 39713 6620 16 contradiction contradiction NN 39713 6620 17 . . . 39713 6621 1 It -PRON- PRP 39713 6621 2 would would MD 39713 6621 3 be be VB 39713 6621 4 necessary necessary JJ 39713 6621 5 to to TO 39713 6621 6 establish establish VB 39713 6621 7 that that DT 39713 6621 8 , , , 39713 6621 9 however however RB 39713 6621 10 far far RB 39713 6621 11 one one CD 39713 6621 12 followed follow VBD 39713 6621 13 the the DT 39713 6621 14 series series NN 39713 6621 15 of of IN 39713 6621 16 deductions deduction NNS 39713 6621 17 , , , 39713 6621 18 he -PRON- PRP 39713 6621 19 would would MD 39713 6621 20 never never RB 39713 6621 21 be be VB 39713 6621 22 exposed expose VBN 39713 6621 23 to to IN 39713 6621 24 contradicting contradict VBG 39713 6621 25 himself -PRON- PRP 39713 6621 26 . . . 39713 6622 1 We -PRON- PRP 39713 6622 2 might may MD 39713 6622 3 attempt attempt VB 39713 6622 4 to to TO 39713 6622 5 reason reason VB 39713 6622 6 as as IN 39713 6622 7 follows follow VBZ 39713 6622 8 : : : 39713 6622 9 We -PRON- PRP 39713 6622 10 can can MD 39713 6622 11 verify verify VB 39713 6622 12 that that IN 39713 6622 13 the the DT 39713 6622 14 operations operation NNS 39713 6622 15 of of IN 39713 6622 16 the the DT 39713 6622 17 new new JJ 39713 6622 18 logic logic NN 39713 6622 19 applied apply VBN 39713 6622 20 to to IN 39713 6622 21 premises premise NNS 39713 6622 22 exempt exempt JJ 39713 6622 23 from from IN 39713 6622 24 contradiction contradiction NN 39713 6622 25 can can MD 39713 6622 26 only only RB 39713 6622 27 give give VB 39713 6622 28 consequences consequence NNS 39713 6622 29 equally equally RB 39713 6622 30 exempt exempt JJ 39713 6622 31 from from IN 39713 6622 32 contradiction contradiction NN 39713 6622 33 . . . 39713 6623 1 If if IN 39713 6623 2 therefore therefore RB 39713 6623 3 after after IN 39713 6623 4 _ _ NNP 39713 6623 5 n n CC 39713 6623 6 _ _ NNP 39713 6623 7 operations operation NNS 39713 6623 8 we -PRON- PRP 39713 6623 9 have have VBP 39713 6623 10 not not RB 39713 6623 11 met meet VBN 39713 6623 12 contradiction contradiction NN 39713 6623 13 , , , 39713 6623 14 we -PRON- PRP 39713 6623 15 shall shall MD 39713 6623 16 not not RB 39713 6623 17 encounter encounter VB 39713 6623 18 it -PRON- PRP 39713 6623 19 after after IN 39713 6623 20 _ _ NNP 39713 6623 21 n n CC 39713 6623 22 _ _ NNP 39713 6623 23 + + NNP 39713 6623 24 1 1 CD 39713 6623 25 . . . 39713 6624 1 Thus thus RB 39713 6624 2 it -PRON- PRP 39713 6624 3 is be VBZ 39713 6624 4 impossible impossible JJ 39713 6624 5 that that IN 39713 6624 6 there there EX 39713 6624 7 should should MD 39713 6624 8 be be VB 39713 6624 9 a a DT 39713 6624 10 moment moment NN 39713 6624 11 when when WRB 39713 6624 12 contradiction contradiction NN 39713 6624 13 _ _ NNP 39713 6624 14 begins begin VBZ 39713 6624 15 _ _ NNP 39713 6624 16 , , , 39713 6624 17 which which WDT 39713 6624 18 shows show VBZ 39713 6624 19 we -PRON- PRP 39713 6624 20 shall shall MD 39713 6624 21 never never RB 39713 6624 22 meet meet VB 39713 6624 23 it -PRON- PRP 39713 6624 24 . . . 39713 6625 1 Have have VBP 39713 6625 2 we -PRON- PRP 39713 6625 3 the the DT 39713 6625 4 right right NN 39713 6625 5 to to IN 39713 6625 6 reason reason NN 39713 6625 7 in in IN 39713 6625 8 this this DT 39713 6625 9 way way NN 39713 6625 10 ? ? . 39713 6626 1 No no UH 39713 6626 2 , , , 39713 6626 3 for for IN 39713 6626 4 this this DT 39713 6626 5 would would MD 39713 6626 6 be be VB 39713 6626 7 to to TO 39713 6626 8 make make VB 39713 6626 9 use use NN 39713 6626 10 of of IN 39713 6626 11 complete complete JJ 39713 6626 12 induction induction NN 39713 6626 13 ; ; : 39713 6626 14 and and CC 39713 6626 15 _ _ NNP 39713 6626 16 remember remember VBP 39713 6626 17 , , , 39713 6626 18 we -PRON- PRP 39713 6626 19 do do VBP 39713 6626 20 not not RB 39713 6626 21 yet yet RB 39713 6626 22 know know VB 39713 6626 23 the the DT 39713 6626 24 principle principle NN 39713 6626 25 of of IN 39713 6626 26 complete complete JJ 39713 6626 27 induction induction NN 39713 6626 28 _ _ NNP 39713 6626 29 . . . 39713 6627 1 We -PRON- PRP 39713 6627 2 therefore therefore RB 39713 6627 3 have have VBP 39713 6627 4 not not RB 39713 6627 5 the the DT 39713 6627 6 right right NN 39713 6627 7 to to TO 39713 6627 8 regard regard VB 39713 6627 9 these these DT 39713 6627 10 assumptions assumption NNS 39713 6627 11 as as IN 39713 6627 12 disguised disguised JJ 39713 6627 13 definitions definition NNS 39713 6627 14 and and CC 39713 6627 15 only only RB 39713 6627 16 one one CD 39713 6627 17 resource resource NN 39713 6627 18 remains remain VBZ 39713 6627 19 for for IN 39713 6627 20 us -PRON- PRP 39713 6627 21 , , , 39713 6627 22 to to TO 39713 6627 23 admit admit VB 39713 6627 24 a a DT 39713 6627 25 new new JJ 39713 6627 26 act act NN 39713 6627 27 of of IN 39713 6627 28 intuition intuition NN 39713 6627 29 for for IN 39713 6627 30 each each DT 39713 6627 31 of of IN 39713 6627 32 them -PRON- PRP 39713 6627 33 . . . 39713 6628 1 Moreover moreover RB 39713 6628 2 I -PRON- PRP 39713 6628 3 believe believe VBP 39713 6628 4 this this DT 39713 6628 5 is be VBZ 39713 6628 6 indeed indeed RB 39713 6628 7 the the DT 39713 6628 8 thought thought NN 39713 6628 9 of of IN 39713 6628 10 Russell Russell NNP 39713 6628 11 and and CC 39713 6628 12 M. M. NNP 39713 6628 13 Couturat Couturat NNP 39713 6628 14 . . . 39713 6629 1 Thus thus RB 39713 6629 2 each each DT 39713 6629 3 of of IN 39713 6629 4 the the DT 39713 6629 5 nine nine CD 39713 6629 6 indefinable indefinable JJ 39713 6629 7 notions notion NNS 39713 6629 8 and and CC 39713 6629 9 of of IN 39713 6629 10 the the DT 39713 6629 11 twenty twenty CD 39713 6629 12 indemonstrable indemonstrable JJ 39713 6629 13 propositions proposition NNS 39713 6629 14 ( ( -LRB- 39713 6629 15 I -PRON- PRP 39713 6629 16 believe believe VBP 39713 6629 17 if if IN 39713 6629 18 it -PRON- PRP 39713 6629 19 were be VBD 39713 6629 20 I -PRON- PRP 39713 6629 21 that that WDT 39713 6629 22 did do VBD 39713 6629 23 the the DT 39713 6629 24 counting counting NN 39713 6629 25 , , , 39713 6629 26 I -PRON- PRP 39713 6629 27 should should MD 39713 6629 28 have have VB 39713 6629 29 found find VBN 39713 6629 30 some some DT 39713 6629 31 more more JJR 39713 6629 32 ) ) -RRB- 39713 6629 33 which which WDT 39713 6629 34 are be VBP 39713 6629 35 the the DT 39713 6629 36 foundation foundation NN 39713 6629 37 of of IN 39713 6629 38 the the DT 39713 6629 39 new new JJ 39713 6629 40 logic logic NN 39713 6629 41 , , , 39713 6629 42 logic logic NN 39713 6629 43 in in IN 39713 6629 44 the the DT 39713 6629 45 broad broad JJ 39713 6629 46 sense sense NN 39713 6629 47 , , , 39713 6629 48 presupposes presuppose VBZ 39713 6629 49 a a DT 39713 6629 50 new new JJ 39713 6629 51 and and CC 39713 6629 52 independent independent JJ 39713 6629 53 act act NN 39713 6629 54 of of IN 39713 6629 55 our -PRON- PRP$ 39713 6629 56 intuition intuition NN 39713 6629 57 and and CC 39713 6629 58 ( ( -LRB- 39713 6629 59 why why WRB 39713 6629 60 not not RB 39713 6629 61 say say VB 39713 6629 62 it -PRON- PRP 39713 6629 63 ? ? . 39713 6629 64 ) ) -RRB- 39713 6630 1 a a DT 39713 6630 2 veritable veritable JJ 39713 6630 3 synthetic synthetic JJ 39713 6630 4 judgment judgment NN 39713 6630 5 _ _ NNP 39713 6630 6 a a DT 39713 6630 7 priori priori FW 39713 6630 8 _ _ NNP 39713 6630 9 . . . 39713 6631 1 On on IN 39713 6631 2 this this DT 39713 6631 3 point point NN 39713 6631 4 all all DT 39713 6631 5 seem seem VBP 39713 6631 6 agreed agree VBN 39713 6631 7 , , , 39713 6631 8 but but CC 39713 6631 9 what what WP 39713 6631 10 Russell Russell NNP 39713 6631 11 claims claim VBZ 39713 6631 12 , , , 39713 6631 13 and and CC 39713 6631 14 _ _ NNP 39713 6631 15 what what WP 39713 6631 16 seems seem VBZ 39713 6631 17 to to IN 39713 6631 18 me -PRON- PRP 39713 6631 19 doubtful doubtful JJ 39713 6631 20 , , , 39713 6631 21 is be VBZ 39713 6631 22 that that IN 39713 6631 23 after after IN 39713 6631 24 these these DT 39713 6631 25 appeals appeal NNS 39713 6631 26 to to TO 39713 6631 27 intuition intuition VB 39713 6631 28 , , , 39713 6631 29 that that DT 39713 6631 30 will will MD 39713 6631 31 be be VB 39713 6631 32 the the DT 39713 6631 33 end end NN 39713 6631 34 of of IN 39713 6631 35 it -PRON- PRP 39713 6631 36 ; ; : 39713 6631 37 we -PRON- PRP 39713 6631 38 need need VBP 39713 6631 39 make make VB 39713 6631 40 no no DT 39713 6631 41 others other NNS 39713 6631 42 and and CC 39713 6631 43 can can MD 39713 6631 44 build build VB 39713 6631 45 all all DT 39713 6631 46 mathematics mathematic NNS 39713 6631 47 without without IN 39713 6631 48 the the DT 39713 6631 49 intervention intervention NN 39713 6631 50 of of IN 39713 6631 51 any any DT 39713 6631 52 new new JJ 39713 6631 53 element element NN 39713 6631 54 _ _ NNP 39713 6631 55 . . . 39713 6632 1 IV IV NNP 39713 6632 2 M. M. NNP 39713 6632 3 Couturat Couturat NNP 39713 6632 4 often often RB 39713 6632 5 repeats repeat VBZ 39713 6632 6 that that IN 39713 6632 7 this this DT 39713 6632 8 new new JJ 39713 6632 9 logic logic NN 39713 6632 10 is be VBZ 39713 6632 11 altogether altogether RB 39713 6632 12 independent independent JJ 39713 6632 13 of of IN 39713 6632 14 the the DT 39713 6632 15 idea idea NN 39713 6632 16 of of IN 39713 6632 17 number number NN 39713 6632 18 . . . 39713 6633 1 I -PRON- PRP 39713 6633 2 shall shall MD 39713 6633 3 not not RB 39713 6633 4 amuse amuse VB 39713 6633 5 myself -PRON- PRP 39713 6633 6 by by IN 39713 6633 7 counting count VBG 39713 6633 8 how how WRB 39713 6633 9 many many JJ 39713 6633 10 numeral numeral JJ 39713 6633 11 adjectives adjective VBZ 39713 6633 12 his -PRON- PRP$ 39713 6633 13 exposition exposition NN 39713 6633 14 contains contain VBZ 39713 6633 15 , , , 39713 6633 16 both both CC 39713 6633 17 cardinal cardinal JJ 39713 6633 18 and and CC 39713 6633 19 ordinal ordinal JJ 39713 6633 20 , , , 39713 6633 21 or or CC 39713 6633 22 indefinite indefinite JJ 39713 6633 23 adjectives adjective NNS 39713 6633 24 such such JJ 39713 6633 25 as as IN 39713 6633 26 several several JJ 39713 6633 27 . . . 39713 6634 1 We -PRON- PRP 39713 6634 2 may may MD 39713 6634 3 cite cite VB 39713 6634 4 , , , 39713 6634 5 however however RB 39713 6634 6 , , , 39713 6634 7 some some DT 39713 6634 8 examples example NNS 39713 6634 9 : : : 39713 6634 10 " " `` 39713 6634 11 The the DT 39713 6634 12 logical logical JJ 39713 6634 13 product product NN 39713 6634 14 of of IN 39713 6634 15 _ _ NNP 39713 6634 16 two two CD 39713 6634 17 _ _ NNP 39713 6634 18 or or CC 39713 6634 19 _ _ NNP 39713 6634 20 more more JJR 39713 6634 21 _ _ NNP 39713 6634 22 propositions proposition NNS 39713 6634 23 is be VBZ 39713 6634 24 .... .... NFP 39713 6634 25 " " '' 39713 6634 26 ; ; : 39713 6634 27 " " `` 39713 6634 28 All all DT 39713 6634 29 propositions proposition NNS 39713 6634 30 are be VBP 39713 6634 31 capable capable JJ 39713 6634 32 only only RB 39713 6634 33 of of IN 39713 6634 34 _ _ NNP 39713 6634 35 two two CD 39713 6634 36 _ _ NNP 39713 6634 37 values value NNS 39713 6634 38 , , , 39713 6634 39 true true JJ 39713 6634 40 and and CC 39713 6634 41 false false JJ 39713 6634 42 " " '' 39713 6634 43 ; ; : 39713 6634 44 " " `` 39713 6634 45 The the DT 39713 6634 46 relative relative JJ 39713 6634 47 product product NN 39713 6634 48 of of IN 39713 6634 49 _ _ NNP 39713 6634 50 two two CD 39713 6634 51 _ _ NNP 39713 6634 52 relations relation NNS 39713 6634 53 is be VBZ 39713 6634 54 a a DT 39713 6634 55 relation relation NN 39713 6634 56 " " '' 39713 6634 57 ; ; : 39713 6634 58 " " `` 39713 6634 59 A a DT 39713 6634 60 relation relation NN 39713 6634 61 exists exist VBZ 39713 6634 62 between between IN 39713 6634 63 two two CD 39713 6634 64 terms term NNS 39713 6634 65 , , , 39713 6634 66 " " '' 39713 6634 67 etc etc FW 39713 6634 68 . . FW 39713 6634 69 , , , 39713 6634 70 etc etc FW 39713 6634 71 . . . 39713 6635 1 Sometimes sometimes RB 39713 6635 2 this this DT 39713 6635 3 inconvenience inconvenience NN 39713 6635 4 would would MD 39713 6635 5 not not RB 39713 6635 6 be be VB 39713 6635 7 unavoidable unavoidable JJ 39713 6635 8 , , , 39713 6635 9 but but CC 39713 6635 10 sometimes sometimes RB 39713 6635 11 also also RB 39713 6635 12 it -PRON- PRP 39713 6635 13 is be VBZ 39713 6635 14 essential essential JJ 39713 6635 15 . . . 39713 6636 1 A a DT 39713 6636 2 relation relation NN 39713 6636 3 is be VBZ 39713 6636 4 incomprehensible incomprehensible JJ 39713 6636 5 without without IN 39713 6636 6 two two CD 39713 6636 7 terms term NNS 39713 6636 8 ; ; : 39713 6636 9 it -PRON- PRP 39713 6636 10 is be VBZ 39713 6636 11 impossible impossible JJ 39713 6636 12 to to TO 39713 6636 13 have have VB 39713 6636 14 the the DT 39713 6636 15 intuition intuition NN 39713 6636 16 of of IN 39713 6636 17 the the DT 39713 6636 18 relation relation NN 39713 6636 19 , , , 39713 6636 20 without without IN 39713 6636 21 having have VBG 39713 6636 22 at at IN 39713 6636 23 the the DT 39713 6636 24 same same JJ 39713 6636 25 time time NN 39713 6636 26 that that DT 39713 6636 27 of of IN 39713 6636 28 its -PRON- PRP$ 39713 6636 29 two two CD 39713 6636 30 terms term NNS 39713 6636 31 , , , 39713 6636 32 and and CC 39713 6636 33 without without IN 39713 6636 34 noticing notice VBG 39713 6636 35 they -PRON- PRP 39713 6636 36 are be VBP 39713 6636 37 two two CD 39713 6636 38 , , , 39713 6636 39 because because IN 39713 6636 40 , , , 39713 6636 41 if if IN 39713 6636 42 the the DT 39713 6636 43 relation relation NN 39713 6636 44 is be VBZ 39713 6636 45 to to TO 39713 6636 46 be be VB 39713 6636 47 conceivable conceivable JJ 39713 6636 48 , , , 39713 6636 49 it -PRON- PRP 39713 6636 50 is be VBZ 39713 6636 51 necessary necessary JJ 39713 6636 52 that that IN 39713 6636 53 there there EX 39713 6636 54 be be VB 39713 6636 55 two two CD 39713 6636 56 and and CC 39713 6636 57 only only RB 39713 6636 58 two two CD 39713 6636 59 . . . 39713 6637 1 V V NNP 39713 6637 2 _ _ NNP 39713 6637 3 Arithmetic Arithmetic NNP 39713 6637 4 _ _ NNP 39713 6637 5 I -PRON- PRP 39713 6637 6 reach reach VBP 39713 6637 7 what what WP 39713 6637 8 M. M. NNP 39713 6637 9 Couturat Couturat NNP 39713 6637 10 calls call VBZ 39713 6637 11 the the DT 39713 6637 12 _ _ NNP 39713 6637 13 ordinal ordinal JJ 39713 6637 14 theory theory NN 39713 6637 15 _ _ NNP 39713 6637 16 which which WDT 39713 6637 17 is be VBZ 39713 6637 18 the the DT 39713 6637 19 foundation foundation NN 39713 6637 20 of of IN 39713 6637 21 arithmetic arithmetic JJ 39713 6637 22 properly properly RB 39713 6637 23 so so RB 39713 6637 24 called call VBN 39713 6637 25 . . . 39713 6638 1 M. M. NNP 39713 6638 2 Couturat Couturat NNP 39713 6638 3 begins begin VBZ 39713 6638 4 by by IN 39713 6638 5 stating state VBG 39713 6638 6 Peano Peano NNP 39713 6638 7 's 's POS 39713 6638 8 five five CD 39713 6638 9 assumptions assumption NNS 39713 6638 10 , , , 39713 6638 11 which which WDT 39713 6638 12 are be VBP 39713 6638 13 independent independent JJ 39713 6638 14 , , , 39713 6638 15 as as IN 39713 6638 16 has have VBZ 39713 6638 17 been be VBN 39713 6638 18 proved prove VBN 39713 6638 19 by by IN 39713 6638 20 Peano Peano NNP 39713 6638 21 and and CC 39713 6638 22 Padoa Padoa NNP 39713 6638 23 . . . 39713 6639 1 1 1 LS 39713 6639 2 . . . 39713 6640 1 Zero Zero NNP 39713 6640 2 is be VBZ 39713 6640 3 an an DT 39713 6640 4 integer integer NN 39713 6640 5 . . . 39713 6641 1 2 2 LS 39713 6641 2 . . . 39713 6642 1 Zero Zero NNP 39713 6642 2 is be VBZ 39713 6642 3 not not RB 39713 6642 4 the the DT 39713 6642 5 successor successor NN 39713 6642 6 of of IN 39713 6642 7 any any DT 39713 6642 8 integer integer NN 39713 6642 9 . . . 39713 6643 1 3 3 LS 39713 6643 2 . . . 39713 6644 1 The the DT 39713 6644 2 successor successor NN 39713 6644 3 of of IN 39713 6644 4 an an DT 39713 6644 5 integer integer NN 39713 6644 6 is be VBZ 39713 6644 7 an an DT 39713 6644 8 integer integer NN 39713 6644 9 . . . 39713 6645 1 To to IN 39713 6645 2 this this DT 39713 6645 3 it -PRON- PRP 39713 6645 4 would would MD 39713 6645 5 be be VB 39713 6645 6 proper proper JJ 39713 6645 7 to to TO 39713 6645 8 add add VB 39713 6645 9 , , , 39713 6645 10 Every every DT 39713 6645 11 integer integer NN 39713 6645 12 has have VBZ 39713 6645 13 a a DT 39713 6645 14 successor successor NN 39713 6645 15 . . . 39713 6646 1 4 4 LS 39713 6646 2 . . . 39713 6647 1 Two two CD 39713 6647 2 integers integer NNS 39713 6647 3 are be VBP 39713 6647 4 equal equal JJ 39713 6647 5 if if IN 39713 6647 6 their -PRON- PRP$ 39713 6647 7 successors successor NNS 39713 6647 8 are be VBP 39713 6647 9 . . . 39713 6648 1 The the DT 39713 6648 2 fifth fifth JJ 39713 6648 3 assumption assumption NN 39713 6648 4 is be VBZ 39713 6648 5 the the DT 39713 6648 6 principle principle NN 39713 6648 7 of of IN 39713 6648 8 complete complete JJ 39713 6648 9 induction induction NN 39713 6648 10 . . . 39713 6649 1 M. M. NNP 39713 6649 2 Couturat Couturat NNP 39713 6649 3 considers consider VBZ 39713 6649 4 these these DT 39713 6649 5 assumptions assumption NNS 39713 6649 6 as as IN 39713 6649 7 disguised disguised JJ 39713 6649 8 definitions definition NNS 39713 6649 9 ; ; : 39713 6649 10 they -PRON- PRP 39713 6649 11 constitute constitute VBP 39713 6649 12 the the DT 39713 6649 13 definition definition NN 39713 6649 14 by by IN 39713 6649 15 postulates postulate NNS 39713 6649 16 of of IN 39713 6649 17 zero zero CD 39713 6649 18 , , , 39713 6649 19 of of IN 39713 6649 20 successor successor NN 39713 6649 21 , , , 39713 6649 22 and and CC 39713 6649 23 of of IN 39713 6649 24 integer integer NN 39713 6649 25 . . . 39713 6650 1 But but CC 39713 6650 2 we -PRON- PRP 39713 6650 3 have have VBP 39713 6650 4 seen see VBN 39713 6650 5 that that IN 39713 6650 6 for for IN 39713 6650 7 a a DT 39713 6650 8 definition definition NN 39713 6650 9 by by IN 39713 6650 10 postulates postulate NNS 39713 6650 11 to to TO 39713 6650 12 be be VB 39713 6650 13 acceptable acceptable JJ 39713 6650 14 we -PRON- PRP 39713 6650 15 must must MD 39713 6650 16 be be VB 39713 6650 17 able able JJ 39713 6650 18 to to TO 39713 6650 19 prove prove VB 39713 6650 20 that that IN 39713 6650 21 it -PRON- PRP 39713 6650 22 implies imply VBZ 39713 6650 23 no no DT 39713 6650 24 contradiction contradiction NN 39713 6650 25 . . . 39713 6651 1 Is be VBZ 39713 6651 2 this this DT 39713 6651 3 the the DT 39713 6651 4 case case NN 39713 6651 5 here here RB 39713 6651 6 ? ? . 39713 6652 1 Not not RB 39713 6652 2 at at RB 39713 6652 3 all all RB 39713 6652 4 . . . 39713 6653 1 The the DT 39713 6653 2 demonstration demonstration NN 39713 6653 3 can can MD 39713 6653 4 not not RB 39713 6653 5 be be VB 39713 6653 6 made make VBN 39713 6653 7 _ _ NNP 39713 6653 8 by by IN 39713 6653 9 example example NN 39713 6653 10 _ _ NNP 39713 6653 11 . . . 39713 6654 1 We -PRON- PRP 39713 6654 2 can can MD 39713 6654 3 not not RB 39713 6654 4 take take VB 39713 6654 5 a a DT 39713 6654 6 part part NN 39713 6654 7 of of IN 39713 6654 8 the the DT 39713 6654 9 integers integer NNS 39713 6654 10 , , , 39713 6654 11 for for IN 39713 6654 12 instance instance NN 39713 6654 13 the the DT 39713 6654 14 first first JJ 39713 6654 15 three three CD 39713 6654 16 , , , 39713 6654 17 and and CC 39713 6654 18 prove prove VB 39713 6654 19 they -PRON- PRP 39713 6654 20 satisfy satisfy VBP 39713 6654 21 the the DT 39713 6654 22 definition definition NN 39713 6654 23 . . . 39713 6655 1 If if IN 39713 6655 2 I -PRON- PRP 39713 6655 3 take take VBP 39713 6655 4 the the DT 39713 6655 5 series series NN 39713 6655 6 0 0 CD 39713 6655 7 , , , 39713 6655 8 1 1 CD 39713 6655 9 , , , 39713 6655 10 2 2 CD 39713 6655 11 , , , 39713 6655 12 I -PRON- PRP 39713 6655 13 see see VBP 39713 6655 14 it -PRON- PRP 39713 6655 15 fulfils fulfil VBZ 39713 6655 16 the the DT 39713 6655 17 assumptions assumption NNS 39713 6655 18 1 1 CD 39713 6655 19 , , , 39713 6655 20 2 2 CD 39713 6655 21 , , , 39713 6655 22 4 4 CD 39713 6655 23 and and CC 39713 6655 24 5 5 CD 39713 6655 25 ; ; : 39713 6655 26 but but CC 39713 6655 27 to to TO 39713 6655 28 satisfy satisfy VB 39713 6655 29 assumption assumption NN 39713 6655 30 3 3 CD 39713 6655 31 it -PRON- PRP 39713 6655 32 still still RB 39713 6655 33 is be VBZ 39713 6655 34 necessary necessary JJ 39713 6655 35 that that IN 39713 6655 36 3 3 CD 39713 6655 37 be be VB 39713 6655 38 an an DT 39713 6655 39 integer integer NN 39713 6655 40 , , , 39713 6655 41 and and CC 39713 6655 42 consequently consequently RB 39713 6655 43 that that IN 39713 6655 44 the the DT 39713 6655 45 series series NN 39713 6655 46 0 0 CD 39713 6655 47 , , , 39713 6655 48 1 1 CD 39713 6655 49 , , , 39713 6655 50 2 2 CD 39713 6655 51 , , , 39713 6655 52 3 3 CD 39713 6655 53 , , , 39713 6655 54 fulfil fulfil VB 39713 6655 55 the the DT 39713 6655 56 assumptions assumption NNS 39713 6655 57 ; ; : 39713 6655 58 we -PRON- PRP 39713 6655 59 might may MD 39713 6655 60 prove prove VB 39713 6655 61 that that IN 39713 6655 62 it -PRON- PRP 39713 6655 63 satisfies satisfy VBZ 39713 6655 64 assumptions assumption NNS 39713 6655 65 1 1 CD 39713 6655 66 , , , 39713 6655 67 2 2 CD 39713 6655 68 , , , 39713 6655 69 4 4 CD 39713 6655 70 , , , 39713 6655 71 5 5 CD 39713 6655 72 , , , 39713 6655 73 but but CC 39713 6655 74 assumption assumption NN 39713 6655 75 3 3 CD 39713 6655 76 requires require VBZ 39713 6655 77 besides besides IN 39713 6655 78 that that DT 39713 6655 79 4 4 CD 39713 6655 80 be be VB 39713 6655 81 an an DT 39713 6655 82 integer integer NN 39713 6655 83 and and CC 39713 6655 84 that that IN 39713 6655 85 the the DT 39713 6655 86 series series NN 39713 6655 87 0 0 CD 39713 6655 88 , , , 39713 6655 89 1 1 CD 39713 6655 90 , , , 39713 6655 91 2 2 CD 39713 6655 92 , , , 39713 6655 93 3 3 CD 39713 6655 94 , , , 39713 6655 95 4 4 CD 39713 6655 96 fulfil fulfil NN 39713 6655 97 the the DT 39713 6655 98 assumptions assumption NNS 39713 6655 99 , , , 39713 6655 100 and and CC 39713 6655 101 so so RB 39713 6655 102 on on RB 39713 6655 103 . . . 39713 6656 1 It -PRON- PRP 39713 6656 2 is be VBZ 39713 6656 3 therefore therefore RB 39713 6656 4 impossible impossible JJ 39713 6656 5 to to TO 39713 6656 6 demonstrate demonstrate VB 39713 6656 7 the the DT 39713 6656 8 assumptions assumption NNS 39713 6656 9 for for IN 39713 6656 10 certain certain JJ 39713 6656 11 integers integer NNS 39713 6656 12 without without IN 39713 6656 13 proving prove VBG 39713 6656 14 them -PRON- PRP 39713 6656 15 for for IN 39713 6656 16 all all DT 39713 6656 17 ; ; : 39713 6656 18 we -PRON- PRP 39713 6656 19 must must MD 39713 6656 20 give give VB 39713 6656 21 up up RP 39713 6656 22 proof proof NN 39713 6656 23 by by IN 39713 6656 24 example example NN 39713 6656 25 . . . 39713 6657 1 It -PRON- PRP 39713 6657 2 is be VBZ 39713 6657 3 necessary necessary JJ 39713 6657 4 then then RB 39713 6657 5 to to TO 39713 6657 6 take take VB 39713 6657 7 all all PDT 39713 6657 8 the the DT 39713 6657 9 consequences consequence NNS 39713 6657 10 of of IN 39713 6657 11 our -PRON- PRP$ 39713 6657 12 assumptions assumption NNS 39713 6657 13 and and CC 39713 6657 14 see see VB 39713 6657 15 if if IN 39713 6657 16 they -PRON- PRP 39713 6657 17 contain contain VBP 39713 6657 18 no no DT 39713 6657 19 contradiction contradiction NN 39713 6657 20 . . . 39713 6658 1 If if IN 39713 6658 2 these these DT 39713 6658 3 consequences consequence NNS 39713 6658 4 were be VBD 39713 6658 5 finite finite JJ 39713 6658 6 in in IN 39713 6658 7 number number NN 39713 6658 8 , , , 39713 6658 9 this this DT 39713 6658 10 would would MD 39713 6658 11 be be VB 39713 6658 12 easy easy JJ 39713 6658 13 ; ; : 39713 6658 14 but but CC 39713 6658 15 they -PRON- PRP 39713 6658 16 are be VBP 39713 6658 17 infinite infinite JJ 39713 6658 18 in in IN 39713 6658 19 number number NN 39713 6658 20 ; ; : 39713 6658 21 they -PRON- PRP 39713 6658 22 are be VBP 39713 6658 23 the the DT 39713 6658 24 whole whole NN 39713 6658 25 of of IN 39713 6658 26 mathematics mathematic NNS 39713 6658 27 , , , 39713 6658 28 or or CC 39713 6658 29 at at IN 39713 6658 30 least least JJS 39713 6658 31 all all RB 39713 6658 32 arithmetic arithmetic JJ 39713 6658 33 . . . 39713 6659 1 What what WP 39713 6659 2 then then RB 39713 6659 3 is be VBZ 39713 6659 4 to to TO 39713 6659 5 be be VB 39713 6659 6 done do VBN 39713 6659 7 ? ? . 39713 6660 1 Perhaps perhaps RB 39713 6660 2 strictly strictly RB 39713 6660 3 we -PRON- PRP 39713 6660 4 could could MD 39713 6660 5 repeat repeat VB 39713 6660 6 the the DT 39713 6660 7 reasoning reasoning NN 39713 6660 8 of of IN 39713 6660 9 number number NN 39713 6660 10 III iii CD 39713 6660 11 . . . 39713 6661 1 But but CC 39713 6661 2 as as IN 39713 6661 3 we -PRON- PRP 39713 6661 4 have have VBP 39713 6661 5 said say VBD 39713 6661 6 , , , 39713 6661 7 this this DT 39713 6661 8 reasoning reasoning NN 39713 6661 9 is be VBZ 39713 6661 10 complete complete JJ 39713 6661 11 induction induction NN 39713 6661 12 , , , 39713 6661 13 and and CC 39713 6661 14 it -PRON- PRP 39713 6661 15 is be VBZ 39713 6661 16 precisely precisely RB 39713 6661 17 the the DT 39713 6661 18 principle principle NN 39713 6661 19 of of IN 39713 6661 20 complete complete JJ 39713 6661 21 induction induction NN 39713 6661 22 whose whose WP$ 39713 6661 23 justification justification NN 39713 6661 24 would would MD 39713 6661 25 be be VB 39713 6661 26 the the DT 39713 6661 27 point point NN 39713 6661 28 in in IN 39713 6661 29 question question NN 39713 6661 30 . . . 39713 6662 1 VI VI NNP 39713 6662 2 _ _ NNP 39713 6662 3 The the DT 39713 6662 4 Logic Logic NNP 39713 6662 5 of of IN 39713 6662 6 Hilbert Hilbert NNP 39713 6662 7 _ _ NNP 39713 6662 8 I -PRON- PRP 39713 6662 9 come come VBP 39713 6662 10 now now RB 39713 6662 11 to to IN 39713 6662 12 the the DT 39713 6662 13 capital capital NN 39713 6662 14 work work NN 39713 6662 15 of of IN 39713 6662 16 Hilbert Hilbert NNP 39713 6662 17 which which WDT 39713 6662 18 he -PRON- PRP 39713 6662 19 communicated communicate VBD 39713 6662 20 to to IN 39713 6662 21 the the DT 39713 6662 22 Congress Congress NNP 39713 6662 23 of of IN 39713 6662 24 Mathematicians Mathematicians NNPS 39713 6662 25 at at IN 39713 6662 26 Heidelberg Heidelberg NNP 39713 6662 27 , , , 39713 6662 28 and and CC 39713 6662 29 of of IN 39713 6662 30 which which WDT 39713 6662 31 a a DT 39713 6662 32 French french JJ 39713 6662 33 translation translation NN 39713 6662 34 by by IN 39713 6662 35 M. M. NNP 39713 6662 36 Pierre Pierre NNP 39713 6662 37 Boutroux Boutroux NNP 39713 6662 38 appeared appear VBD 39713 6662 39 in in IN 39713 6662 40 _ _ NNP 39713 6662 41 l'Enseignement l'Enseignement NNP 39713 6662 42 mathématique mathématique NN 39713 6662 43 _ _ NNP 39713 6662 44 , , , 39713 6662 45 while while IN 39713 6662 46 an an DT 39713 6662 47 English english JJ 39713 6662 48 translation translation NN 39713 6662 49 due due IN 39713 6662 50 to to IN 39713 6662 51 Halsted Halsted NNP 39713 6662 52 appeared appear VBD 39713 6662 53 in in IN 39713 6662 54 _ _ NNP 39713 6662 55 The the DT 39713 6662 56 Monist Monist NNP 39713 6662 57 _ _ NNP 39713 6662 58 . . . 39713 6663 1 [ [ -LRB- 39713 6663 2 13 13 CD 39713 6663 3 ] ] -RRB- 39713 6663 4 In in IN 39713 6663 5 this this DT 39713 6663 6 work work NN 39713 6663 7 , , , 39713 6663 8 which which WDT 39713 6663 9 contains contain VBZ 39713 6663 10 profound profound JJ 39713 6663 11 thoughts thought NNS 39713 6663 12 , , , 39713 6663 13 the the DT 39713 6663 14 author author NN 39713 6663 15 's 's POS 39713 6663 16 aim aim NN 39713 6663 17 is be VBZ 39713 6663 18 analogous analogous JJ 39713 6663 19 to to IN 39713 6663 20 that that DT 39713 6663 21 of of IN 39713 6663 22 Russell Russell NNP 39713 6663 23 , , , 39713 6663 24 but but CC 39713 6663 25 on on IN 39713 6663 26 many many JJ 39713 6663 27 points point NNS 39713 6663 28 he -PRON- PRP 39713 6663 29 diverges diverge VBZ 39713 6663 30 from from IN 39713 6663 31 his -PRON- PRP$ 39713 6663 32 predecessor predecessor NN 39713 6663 33 . . . 39713 6664 1 [ [ -LRB- 39713 6664 2 13 13 CD 39713 6664 3 ] ] -RRB- 39713 6664 4 ' ' `` 39713 6664 5 The the DT 39713 6664 6 Foundations Foundations NNPS 39713 6664 7 of of IN 39713 6664 8 Logic Logic NNP 39713 6664 9 and and CC 39713 6664 10 Arithmetic Arithmetic NNP 39713 6664 11 , , , 39713 6664 12 ' ' '' 39713 6664 13 _ _ NNP 39713 6664 14 Monist Monist NNP 39713 6664 15 _ _ NNP 39713 6664 16 , , , 39713 6664 17 XV XV NNP 39713 6664 18 . . NNP 39713 6664 19 , , , 39713 6664 20 338 338 CD 39713 6664 21 - - SYM 39713 6664 22 352 352 CD 39713 6664 23 . . . 39713 6665 1 " " `` 39713 6665 2 But but CC 39713 6665 3 , , , 39713 6665 4 " " '' 39713 6665 5 he -PRON- PRP 39713 6665 6 says say VBZ 39713 6665 7 ( ( -LRB- 39713 6665 8 _ _ NNP 39713 6665 9 Monist Monist NNP 39713 6665 10 _ _ NNP 39713 6665 11 , , , 39713 6665 12 p. p. NN 39713 6665 13 340 340 CD 39713 6665 14 ) ) -RRB- 39713 6665 15 , , , 39713 6665 16 " " '' 39713 6665 17 on on IN 39713 6665 18 attentive attentive JJ 39713 6665 19 consideration consideration NN 39713 6665 20 we -PRON- PRP 39713 6665 21 become become VBP 39713 6665 22 aware aware JJ 39713 6665 23 that that IN 39713 6665 24 in in IN 39713 6665 25 the the DT 39713 6665 26 usual usual JJ 39713 6665 27 exposition exposition NN 39713 6665 28 of of IN 39713 6665 29 the the DT 39713 6665 30 laws law NNS 39713 6665 31 of of IN 39713 6665 32 logic logic NN 39713 6665 33 certain certain JJ 39713 6665 34 fundamental fundamental JJ 39713 6665 35 concepts concept NNS 39713 6665 36 of of IN 39713 6665 37 arithmetic arithmetic JJ 39713 6665 38 are be VBP 39713 6665 39 already already RB 39713 6665 40 employed employ VBN 39713 6665 41 ; ; : 39713 6665 42 for for IN 39713 6665 43 example example NN 39713 6665 44 , , , 39713 6665 45 the the DT 39713 6665 46 concept concept NN 39713 6665 47 of of IN 39713 6665 48 the the DT 39713 6665 49 aggregate aggregate NN 39713 6665 50 , , , 39713 6665 51 in in IN 39713 6665 52 part part NN 39713 6665 53 also also RB 39713 6665 54 the the DT 39713 6665 55 concept concept NN 39713 6665 56 of of IN 39713 6665 57 number number NN 39713 6665 58 . . . 39713 6666 1 " " `` 39713 6666 2 We -PRON- PRP 39713 6666 3 fall fall VBP 39713 6666 4 thus thus RB 39713 6666 5 into into IN 39713 6666 6 a a DT 39713 6666 7 vicious vicious JJ 39713 6666 8 circle circle NN 39713 6666 9 and and CC 39713 6666 10 therefore therefore RB 39713 6666 11 to to TO 39713 6666 12 avoid avoid VB 39713 6666 13 paradoxes paradox NNS 39713 6666 14 a a DT 39713 6666 15 partly partly RB 39713 6666 16 simultaneous simultaneous JJ 39713 6666 17 development development NN 39713 6666 18 of of IN 39713 6666 19 the the DT 39713 6666 20 laws law NNS 39713 6666 21 of of IN 39713 6666 22 logic logic NN 39713 6666 23 and and CC 39713 6666 24 arithmetic arithmetic JJ 39713 6666 25 is be VBZ 39713 6666 26 requisite requisite JJ 39713 6666 27 . . . 39713 6666 28 " " '' 39713 6667 1 We -PRON- PRP 39713 6667 2 have have VBP 39713 6667 3 seen see VBN 39713 6667 4 above above IN 39713 6667 5 that that DT 39713 6667 6 what what WP 39713 6667 7 Hilbert Hilbert NNP 39713 6667 8 says say VBZ 39713 6667 9 of of IN 39713 6667 10 the the DT 39713 6667 11 principles principle NNS 39713 6667 12 of of IN 39713 6667 13 logic logic NN 39713 6667 14 _ _ NNP 39713 6667 15 in in IN 39713 6667 16 the the DT 39713 6667 17 usual usual JJ 39713 6667 18 exposition exposition NN 39713 6667 19 _ _ NNP 39713 6667 20 applies apply VBZ 39713 6667 21 likewise likewise RB 39713 6667 22 to to IN 39713 6667 23 the the DT 39713 6667 24 logic logic NN 39713 6667 25 of of IN 39713 6667 26 Russell Russell NNP 39713 6667 27 . . . 39713 6668 1 So so RB 39713 6668 2 for for IN 39713 6668 3 Russell Russell NNP 39713 6668 4 logic logic NN 39713 6668 5 is be VBZ 39713 6668 6 prior prior RB 39713 6668 7 to to IN 39713 6668 8 arithmetic arithmetic JJ 39713 6668 9 ; ; : 39713 6668 10 for for IN 39713 6668 11 Hilbert Hilbert NNP 39713 6668 12 they -PRON- PRP 39713 6668 13 are be VBP 39713 6668 14 ' ' `` 39713 6668 15 simultaneous simultaneous JJ 39713 6668 16 . . . 39713 6668 17 ' ' '' 39713 6669 1 We -PRON- PRP 39713 6669 2 shall shall MD 39713 6669 3 find find VB 39713 6669 4 further further RB 39713 6669 5 on on IN 39713 6669 6 other other JJ 39713 6669 7 differences difference NNS 39713 6669 8 still still RB 39713 6669 9 greater great JJR 39713 6669 10 , , , 39713 6669 11 but but CC 39713 6669 12 we -PRON- PRP 39713 6669 13 shall shall MD 39713 6669 14 point point VB 39713 6669 15 them -PRON- PRP 39713 6669 16 out out RP 39713 6669 17 as as IN 39713 6669 18 we -PRON- PRP 39713 6669 19 come come VBP 39713 6669 20 to to IN 39713 6669 21 them -PRON- PRP 39713 6669 22 . . . 39713 6670 1 I -PRON- PRP 39713 6670 2 prefer prefer VBP 39713 6670 3 to to TO 39713 6670 4 follow follow VB 39713 6670 5 step step NN 39713 6670 6 by by IN 39713 6670 7 step step NN 39713 6670 8 the the DT 39713 6670 9 development development NN 39713 6670 10 of of IN 39713 6670 11 Hilbert Hilbert NNP 39713 6670 12 's 's POS 39713 6670 13 thought thought NN 39713 6670 14 , , , 39713 6670 15 quoting quote VBG 39713 6670 16 textually textually RB 39713 6670 17 the the DT 39713 6670 18 most most RBS 39713 6670 19 important important JJ 39713 6670 20 passages passage NNS 39713 6670 21 . . . 39713 6671 1 " " `` 39713 6671 2 Let let VB 39713 6671 3 us -PRON- PRP 39713 6671 4 take take VB 39713 6671 5 as as IN 39713 6671 6 the the DT 39713 6671 7 basis basis NN 39713 6671 8 of of IN 39713 6671 9 our -PRON- PRP$ 39713 6671 10 consideration consideration NN 39713 6671 11 first first RB 39713 6671 12 of of IN 39713 6671 13 all all PDT 39713 6671 14 a a DT 39713 6671 15 thought thought NN 39713 6671 16 - - HYPH 39713 6671 17 thing thing NN 39713 6671 18 1 1 CD 39713 6671 19 ( ( -LRB- 39713 6671 20 one one CD 39713 6671 21 ) ) -RRB- 39713 6671 22 " " '' 39713 6671 23 ( ( -LRB- 39713 6671 24 p. p. NN 39713 6671 25 341 341 CD 39713 6671 26 ) ) -RRB- 39713 6671 27 . . . 39713 6672 1 Notice notice VB 39713 6672 2 that that IN 39713 6672 3 in in IN 39713 6672 4 so so RB 39713 6672 5 doing do VBG 39713 6672 6 we -PRON- PRP 39713 6672 7 in in IN 39713 6672 8 no no DT 39713 6672 9 wise wise JJ 39713 6672 10 imply imply NN 39713 6672 11 the the DT 39713 6672 12 notion notion NN 39713 6672 13 of of IN 39713 6672 14 number number NN 39713 6672 15 , , , 39713 6672 16 because because IN 39713 6672 17 it -PRON- PRP 39713 6672 18 is be VBZ 39713 6672 19 understood understand VBN 39713 6672 20 that that IN 39713 6672 21 1 1 CD 39713 6672 22 is be VBZ 39713 6672 23 here here RB 39713 6672 24 only only RB 39713 6672 25 a a DT 39713 6672 26 symbol symbol NN 39713 6672 27 and and CC 39713 6672 28 that that IN 39713 6672 29 we -PRON- PRP 39713 6672 30 do do VBP 39713 6672 31 not not RB 39713 6672 32 at at RB 39713 6672 33 all all RB 39713 6672 34 seek seek VB 39713 6672 35 to to TO 39713 6672 36 know know VB 39713 6672 37 its -PRON- PRP$ 39713 6672 38 meaning meaning NN 39713 6672 39 . . . 39713 6673 1 " " `` 39713 6673 2 The the DT 39713 6673 3 taking taking NN 39713 6673 4 of of IN 39713 6673 5 this this DT 39713 6673 6 thing thing NN 39713 6673 7 together together RB 39713 6673 8 with with IN 39713 6673 9 itself -PRON- PRP 39713 6673 10 respectively respectively RB 39713 6673 11 two two CD 39713 6673 12 , , , 39713 6673 13 three three CD 39713 6673 14 or or CC 39713 6673 15 more more JJR 39713 6673 16 times time NNS 39713 6673 17 .... .... . 39713 6673 18 " " `` 39713 6673 19 Ah ah UH 39713 6673 20 ! ! . 39713 6674 1 this this DT 39713 6674 2 time time NN 39713 6674 3 it -PRON- PRP 39713 6674 4 is be VBZ 39713 6674 5 no no RB 39713 6674 6 longer long RBR 39713 6674 7 the the DT 39713 6674 8 same same JJ 39713 6674 9 ; ; : 39713 6674 10 if if IN 39713 6674 11 we -PRON- PRP 39713 6674 12 introduce introduce VBP 39713 6674 13 the the DT 39713 6674 14 words word NNS 39713 6674 15 ' ' POS 39713 6674 16 two two CD 39713 6674 17 , , , 39713 6674 18 ' ' '' 39713 6674 19 ' ' '' 39713 6674 20 three three CD 39713 6674 21 , , , 39713 6674 22 ' ' '' 39713 6674 23 and and CC 39713 6674 24 above above IN 39713 6674 25 all all DT 39713 6674 26 ' ' `` 39713 6674 27 more more JJR 39713 6674 28 , , , 39713 6674 29 ' ' '' 39713 6674 30 ' ' '' 39713 6674 31 several several JJ 39713 6674 32 , , , 39713 6674 33 ' ' '' 39713 6674 34 we -PRON- PRP 39713 6674 35 introduce introduce VBP 39713 6674 36 the the DT 39713 6674 37 notion notion NN 39713 6674 38 of of IN 39713 6674 39 number number NN 39713 6674 40 ; ; : 39713 6674 41 and and CC 39713 6674 42 then then RB 39713 6674 43 the the DT 39713 6674 44 definition definition NN 39713 6674 45 of of IN 39713 6674 46 finite finite JJ 39713 6674 47 whole whole JJ 39713 6674 48 number number NN 39713 6674 49 which which WDT 39713 6674 50 we -PRON- PRP 39713 6674 51 shall shall MD 39713 6674 52 presently presently RB 39713 6674 53 find find VB 39713 6674 54 , , , 39713 6674 55 will will MD 39713 6674 56 come come VB 39713 6674 57 too too RB 39713 6674 58 late late RB 39713 6674 59 . . . 39713 6675 1 Our -PRON- PRP$ 39713 6675 2 author author NN 39713 6675 3 was be VBD 39713 6675 4 too too RB 39713 6675 5 circumspect circumspect JJ 39713 6675 6 not not RB 39713 6675 7 to to TO 39713 6675 8 perceive perceive VB 39713 6675 9 this this DT 39713 6675 10 begging begging NN 39713 6675 11 of of IN 39713 6675 12 the the DT 39713 6675 13 question question NN 39713 6675 14 . . . 39713 6676 1 So so CC 39713 6676 2 at at IN 39713 6676 3 the the DT 39713 6676 4 end end NN 39713 6676 5 of of IN 39713 6676 6 his -PRON- PRP$ 39713 6676 7 work work NN 39713 6676 8 he -PRON- PRP 39713 6676 9 tries try VBZ 39713 6676 10 to to TO 39713 6676 11 proceed proceed VB 39713 6676 12 to to IN 39713 6676 13 a a DT 39713 6676 14 truly truly RB 39713 6676 15 patching patching JJ 39713 6676 16 - - HYPH 39713 6676 17 up up RP 39713 6676 18 process process NN 39713 6676 19 . . . 39713 6677 1 Hilbert Hilbert NNP 39713 6677 2 then then RB 39713 6677 3 introduces introduce VBZ 39713 6677 4 two two CD 39713 6677 5 simple simple JJ 39713 6677 6 objects object NNS 39713 6677 7 1 1 CD 39713 6677 8 and and CC 39713 6677 9 = = SYM 39713 6677 10 , , , 39713 6677 11 and and CC 39713 6677 12 considers consider VBZ 39713 6677 13 all all PDT 39713 6677 14 the the DT 39713 6677 15 combinations combination NNS 39713 6677 16 of of IN 39713 6677 17 these these DT 39713 6677 18 two two CD 39713 6677 19 objects object NNS 39713 6677 20 , , , 39713 6677 21 all all PDT 39713 6677 22 the the DT 39713 6677 23 combinations combination NNS 39713 6677 24 of of IN 39713 6677 25 their -PRON- PRP$ 39713 6677 26 combinations combination NNS 39713 6677 27 , , , 39713 6677 28 etc etc FW 39713 6677 29 . . . 39713 6678 1 It -PRON- PRP 39713 6678 2 goes go VBZ 39713 6678 3 without without IN 39713 6678 4 saying say VBG 39713 6678 5 that that IN 39713 6678 6 we -PRON- PRP 39713 6678 7 must must MD 39713 6678 8 forget forget VB 39713 6678 9 the the DT 39713 6678 10 ordinary ordinary JJ 39713 6678 11 meaning meaning NN 39713 6678 12 of of IN 39713 6678 13 these these DT 39713 6678 14 two two CD 39713 6678 15 signs sign NNS 39713 6678 16 and and CC 39713 6678 17 not not RB 39713 6678 18 attribute attribute VB 39713 6678 19 any any DT 39713 6678 20 to to IN 39713 6678 21 them -PRON- PRP 39713 6678 22 . . . 39713 6679 1 Afterwards afterwards RB 39713 6679 2 he -PRON- PRP 39713 6679 3 separates separate VBZ 39713 6679 4 these these DT 39713 6679 5 combinations combination NNS 39713 6679 6 into into IN 39713 6679 7 two two CD 39713 6679 8 classes class NNS 39713 6679 9 , , , 39713 6679 10 the the DT 39713 6679 11 class class NN 39713 6679 12 of of IN 39713 6679 13 the the DT 39713 6679 14 existent existent NN 39713 6679 15 and and CC 39713 6679 16 the the DT 39713 6679 17 class class NN 39713 6679 18 of of IN 39713 6679 19 the the DT 39713 6679 20 non non JJ 39713 6679 21 - - JJ 39713 6679 22 existent existent JJ 39713 6679 23 , , , 39713 6679 24 and and CC 39713 6679 25 till till IN 39713 6679 26 further further JJ 39713 6679 27 orders order NNS 39713 6679 28 this this DT 39713 6679 29 separation separation NN 39713 6679 30 is be VBZ 39713 6679 31 entirely entirely RB 39713 6679 32 arbitrary arbitrary JJ 39713 6679 33 . . . 39713 6680 1 Every every DT 39713 6680 2 affirmative affirmative JJ 39713 6680 3 statement statement NN 39713 6680 4 tells tell VBZ 39713 6680 5 us -PRON- PRP 39713 6680 6 that that IN 39713 6680 7 a a DT 39713 6680 8 certain certain JJ 39713 6680 9 combination combination NN 39713 6680 10 belongs belong VBZ 39713 6680 11 to to IN 39713 6680 12 the the DT 39713 6680 13 class class NN 39713 6680 14 of of IN 39713 6680 15 the the DT 39713 6680 16 existent existent NN 39713 6680 17 ; ; : 39713 6680 18 every every DT 39713 6680 19 negative negative JJ 39713 6680 20 statement statement NN 39713 6680 21 tells tell VBZ 39713 6680 22 us -PRON- PRP 39713 6680 23 that that IN 39713 6680 24 a a DT 39713 6680 25 certain certain JJ 39713 6680 26 combination combination NN 39713 6680 27 belongs belong VBZ 39713 6680 28 to to IN 39713 6680 29 the the DT 39713 6680 30 class class NN 39713 6680 31 of of IN 39713 6680 32 the the DT 39713 6680 33 non non JJ 39713 6680 34 - - JJ 39713 6680 35 existent existent NN 39713 6680 36 . . . 39713 6681 1 VII VII NNP 39713 6681 2 Note Note NNP 39713 6681 3 now now RB 39713 6681 4 a a DT 39713 6681 5 difference difference NN 39713 6681 6 of of IN 39713 6681 7 the the DT 39713 6681 8 highest high JJS 39713 6681 9 importance importance NN 39713 6681 10 . . . 39713 6682 1 For for IN 39713 6682 2 Russell Russell NNP 39713 6682 3 any any DT 39713 6682 4 object object NN 39713 6682 5 whatsoever whatsoever RB 39713 6682 6 , , , 39713 6682 7 which which WDT 39713 6682 8 he -PRON- PRP 39713 6682 9 designates designate VBZ 39713 6682 10 by by IN 39713 6682 11 _ _ NNP 39713 6682 12 x x NNP 39713 6682 13 _ _ NNP 39713 6682 14 , , , 39713 6682 15 is be VBZ 39713 6682 16 an an DT 39713 6682 17 object object NN 39713 6682 18 absolutely absolutely RB 39713 6682 19 undetermined undetermined JJ 39713 6682 20 and and CC 39713 6682 21 about about IN 39713 6682 22 which which WDT 39713 6682 23 he -PRON- PRP 39713 6682 24 supposes suppose VBZ 39713 6682 25 nothing nothing NN 39713 6682 26 ; ; : 39713 6682 27 for for IN 39713 6682 28 Hilbert Hilbert NNP 39713 6682 29 it -PRON- PRP 39713 6682 30 is be VBZ 39713 6682 31 one one CD 39713 6682 32 of of IN 39713 6682 33 the the DT 39713 6682 34 combinations combination NNS 39713 6682 35 formed form VBN 39713 6682 36 with with IN 39713 6682 37 the the DT 39713 6682 38 symbols symbol NNS 39713 6682 39 1 1 CD 39713 6682 40 and and CC 39713 6682 41 = = SYM 39713 6682 42 ; ; : 39713 6682 43 he -PRON- PRP 39713 6682 44 could could MD 39713 6682 45 not not RB 39713 6682 46 conceive conceive VB 39713 6682 47 of of IN 39713 6682 48 the the DT 39713 6682 49 introduction introduction NN 39713 6682 50 of of IN 39713 6682 51 anything anything NN 39713 6682 52 other other JJ 39713 6682 53 than than IN 39713 6682 54 combinations combination NNS 39713 6682 55 of of IN 39713 6682 56 objects object NNS 39713 6682 57 already already RB 39713 6682 58 defined define VBN 39713 6682 59 . . . 39713 6683 1 Moreover moreover RB 39713 6683 2 Hilbert Hilbert NNP 39713 6683 3 formulates formulate VBZ 39713 6683 4 his -PRON- PRP$ 39713 6683 5 thought thought NN 39713 6683 6 in in IN 39713 6683 7 the the DT 39713 6683 8 neatest neat JJS 39713 6683 9 way way NN 39713 6683 10 , , , 39713 6683 11 and and CC 39713 6683 12 I -PRON- PRP 39713 6683 13 think think VBP 39713 6683 14 I -PRON- PRP 39713 6683 15 must must MD 39713 6683 16 reproduce reproduce VB 39713 6683 17 _ _ NNP 39713 6683 18 in in IN 39713 6683 19 extenso extenso NNP 39713 6683 20 _ _ IN 39713 6683 21 his -PRON- PRP$ 39713 6683 22 statement statement NN 39713 6683 23 ( ( -LRB- 39713 6683 24 p. p. NN 39713 6683 25 348 348 CD 39713 6683 26 ) ) -RRB- 39713 6683 27 : : : 39713 6683 28 " " `` 39713 6683 29 In in IN 39713 6683 30 the the DT 39713 6683 31 assumptions assumption NNS 39713 6683 32 the the DT 39713 6683 33 arbitraries arbitrarie NNS 39713 6683 34 ( ( -LRB- 39713 6683 35 as as IN 39713 6683 36 equivalent equivalent JJ 39713 6683 37 for for IN 39713 6683 38 the the DT 39713 6683 39 concept concept NN 39713 6683 40 ' ' `` 39713 6683 41 every every DT 39713 6683 42 ' ' '' 39713 6683 43 and and CC 39713 6683 44 ' ' `` 39713 6683 45 all all DT 39713 6683 46 ' ' '' 39713 6683 47 in in IN 39713 6683 48 the the DT 39713 6683 49 customary customary JJ 39713 6683 50 logic logic NN 39713 6683 51 ) ) -RRB- 39713 6683 52 represent represent VBP 39713 6683 53 only only RB 39713 6683 54 those those DT 39713 6683 55 thought think VBN 39713 6683 56 - - HYPH 39713 6683 57 things thing NNS 39713 6683 58 and and CC 39713 6683 59 their -PRON- PRP$ 39713 6683 60 combinations combination NNS 39713 6683 61 with with IN 39713 6683 62 one one CD 39713 6683 63 another another DT 39713 6683 64 , , , 39713 6683 65 which which WDT 39713 6683 66 at at IN 39713 6683 67 this this DT 39713 6683 68 stage stage NN 39713 6683 69 are be VBP 39713 6683 70 laid lay VBN 39713 6683 71 down down RP 39713 6683 72 as as RB 39713 6683 73 fundamental fundamental JJ 39713 6683 74 or or CC 39713 6683 75 are be VBP 39713 6683 76 to to TO 39713 6683 77 be be VB 39713 6683 78 newly newly RB 39713 6683 79 defined define VBN 39713 6683 80 . . . 39713 6684 1 Therefore therefore RB 39713 6684 2 in in IN 39713 6684 3 the the DT 39713 6684 4 deduction deduction NN 39713 6684 5 of of IN 39713 6684 6 inferences inference NNS 39713 6684 7 from from IN 39713 6684 8 the the DT 39713 6684 9 assumptions assumption NNS 39713 6684 10 , , , 39713 6684 11 the the DT 39713 6684 12 arbitraries arbitrarie NNS 39713 6684 13 , , , 39713 6684 14 which which WDT 39713 6684 15 occur occur VBP 39713 6684 16 in in IN 39713 6684 17 the the DT 39713 6684 18 assumptions assumption NNS 39713 6684 19 , , , 39713 6684 20 can can MD 39713 6684 21 be be VB 39713 6684 22 replaced replace VBN 39713 6684 23 only only RB 39713 6684 24 by by IN 39713 6684 25 such such JJ 39713 6684 26 thought thought NN 39713 6684 27 - - HYPH 39713 6684 28 things thing NNS 39713 6684 29 and and CC 39713 6684 30 their -PRON- PRP$ 39713 6684 31 combinations combination NNS 39713 6684 32 . . . 39713 6685 1 " " `` 39713 6685 2 Also also RB 39713 6685 3 we -PRON- PRP 39713 6685 4 must must MD 39713 6685 5 duly duly RB 39713 6685 6 remember remember VB 39713 6685 7 , , , 39713 6685 8 that that IN 39713 6685 9 through through IN 39713 6685 10 the the DT 39713 6685 11 super super NN 39713 6685 12 - - NN 39713 6685 13 addition addition NN 39713 6685 14 and and CC 39713 6685 15 making make VBG 39713 6685 16 fundamental fundamental NN 39713 6685 17 of of IN 39713 6685 18 a a DT 39713 6685 19 new new JJ 39713 6685 20 thought thought NN 39713 6685 21 - - HYPH 39713 6685 22 thing thing NN 39713 6685 23 the the DT 39713 6685 24 preceding precede VBG 39713 6685 25 assumptions assumption NNS 39713 6685 26 undergo undergo VBP 39713 6685 27 an an DT 39713 6685 28 enlargement enlargement NN 39713 6685 29 of of IN 39713 6685 30 their -PRON- PRP$ 39713 6685 31 validity validity NN 39713 6685 32 , , , 39713 6685 33 and and CC 39713 6685 34 where where WRB 39713 6685 35 necessary necessary JJ 39713 6685 36 , , , 39713 6685 37 are be VBP 39713 6685 38 to to TO 39713 6685 39 be be VB 39713 6685 40 subjected subject VBN 39713 6685 41 to to IN 39713 6685 42 a a DT 39713 6685 43 change change NN 39713 6685 44 in in IN 39713 6685 45 conformity conformity NN 39713 6685 46 with with IN 39713 6685 47 the the DT 39713 6685 48 sense sense NN 39713 6685 49 . . . 39713 6685 50 " " '' 39713 6686 1 The the DT 39713 6686 2 contrast contrast NN 39713 6686 3 with with IN 39713 6686 4 Russell Russell NNP 39713 6686 5 's 's POS 39713 6686 6 view view NN 39713 6686 7 - - HYPH 39713 6686 8 point point NN 39713 6686 9 is be VBZ 39713 6686 10 complete complete JJ 39713 6686 11 . . . 39713 6687 1 For for IN 39713 6687 2 this this DT 39713 6687 3 philosopher philosopher NN 39713 6687 4 we -PRON- PRP 39713 6687 5 may may MD 39713 6687 6 substitute substitute VB 39713 6687 7 for for IN 39713 6687 8 _ _ NNP 39713 6687 9 x x NNP 39713 6687 10 _ _ NNP 39713 6687 11 not not RB 39713 6687 12 only only RB 39713 6687 13 objects object VBZ 39713 6687 14 already already RB 39713 6687 15 known know VBN 39713 6687 16 , , , 39713 6687 17 but but CC 39713 6687 18 anything anything NN 39713 6687 19 . . . 39713 6688 1 Russell Russell NNP 39713 6688 2 is be VBZ 39713 6688 3 faithful faithful JJ 39713 6688 4 to to IN 39713 6688 5 his -PRON- PRP$ 39713 6688 6 point point NN 39713 6688 7 of of IN 39713 6688 8 view view NN 39713 6688 9 , , , 39713 6688 10 which which WDT 39713 6688 11 is be VBZ 39713 6688 12 that that DT 39713 6688 13 of of IN 39713 6688 14 comprehension comprehension NN 39713 6688 15 . . . 39713 6689 1 He -PRON- PRP 39713 6689 2 starts start VBZ 39713 6689 3 from from IN 39713 6689 4 the the DT 39713 6689 5 general general JJ 39713 6689 6 idea idea NN 39713 6689 7 of of IN 39713 6689 8 being be VBG 39713 6689 9 , , , 39713 6689 10 and and CC 39713 6689 11 enriches enrich VBZ 39713 6689 12 it -PRON- PRP 39713 6689 13 more more RBR 39713 6689 14 and and CC 39713 6689 15 more more RBR 39713 6689 16 while while IN 39713 6689 17 restricting restrict VBG 39713 6689 18 it -PRON- PRP 39713 6689 19 , , , 39713 6689 20 by by IN 39713 6689 21 adding add VBG 39713 6689 22 new new JJ 39713 6689 23 qualities quality NNS 39713 6689 24 . . . 39713 6690 1 Hilbert Hilbert NNP 39713 6690 2 on on IN 39713 6690 3 the the DT 39713 6690 4 contrary contrary JJ 39713 6690 5 recognizes recognize NNS 39713 6690 6 as as IN 39713 6690 7 possible possible JJ 39713 6690 8 beings being NNS 39713 6690 9 only only RB 39713 6690 10 combinations combination NNS 39713 6690 11 of of IN 39713 6690 12 objects object NNS 39713 6690 13 already already RB 39713 6690 14 known know VBN 39713 6690 15 ; ; : 39713 6690 16 so so CC 39713 6690 17 that that IN 39713 6690 18 ( ( -LRB- 39713 6690 19 looking look VBG 39713 6690 20 at at IN 39713 6690 21 only only RB 39713 6690 22 one one CD 39713 6690 23 side side NN 39713 6690 24 of of IN 39713 6690 25 his -PRON- PRP$ 39713 6690 26 thought thought NN 39713 6690 27 ) ) -RRB- 39713 6690 28 we -PRON- PRP 39713 6690 29 might may MD 39713 6690 30 say say VB 39713 6690 31 he -PRON- PRP 39713 6690 32 takes take VBZ 39713 6690 33 the the DT 39713 6690 34 view view NN 39713 6690 35 - - HYPH 39713 6690 36 point point NN 39713 6690 37 of of IN 39713 6690 38 extension extension NN 39713 6690 39 . . . 39713 6691 1 VIII VIII NNP 39713 6691 2 Let let VB 39713 6691 3 us -PRON- PRP 39713 6691 4 continue continue VB 39713 6691 5 with with IN 39713 6691 6 the the DT 39713 6691 7 exposition exposition NN 39713 6691 8 of of IN 39713 6691 9 Hilbert Hilbert NNP 39713 6691 10 's 's POS 39713 6691 11 ideas idea NNS 39713 6691 12 . . . 39713 6692 1 He -PRON- PRP 39713 6692 2 introduces introduce VBZ 39713 6692 3 two two CD 39713 6692 4 assumptions assumption NNS 39713 6692 5 which which WDT 39713 6692 6 he -PRON- PRP 39713 6692 7 states state VBZ 39713 6692 8 in in IN 39713 6692 9 his -PRON- PRP$ 39713 6692 10 symbolic symbolic JJ 39713 6692 11 language language NN 39713 6692 12 but but CC 39713 6692 13 which which WDT 39713 6692 14 signify signify NN 39713 6692 15 , , , 39713 6692 16 in in IN 39713 6692 17 the the DT 39713 6692 18 language language NN 39713 6692 19 of of IN 39713 6692 20 the the DT 39713 6692 21 uninitiated uninitiated JJ 39713 6692 22 , , , 39713 6692 23 that that IN 39713 6692 24 every every DT 39713 6692 25 quality quality NN 39713 6692 26 is be VBZ 39713 6692 27 equal equal JJ 39713 6692 28 to to IN 39713 6692 29 itself -PRON- PRP 39713 6692 30 and and CC 39713 6692 31 that that IN 39713 6692 32 every every DT 39713 6692 33 operation operation NN 39713 6692 34 performed perform VBN 39713 6692 35 upon upon IN 39713 6692 36 two two CD 39713 6692 37 identical identical JJ 39713 6692 38 quantities quantity NNS 39713 6692 39 gives give VBZ 39713 6692 40 identical identical JJ 39713 6692 41 results result NNS 39713 6692 42 . . . 39713 6693 1 So so RB 39713 6693 2 stated stated JJ 39713 6693 3 , , , 39713 6693 4 they -PRON- PRP 39713 6693 5 are be VBP 39713 6693 6 evident evident JJ 39713 6693 7 , , , 39713 6693 8 but but CC 39713 6693 9 thus thus RB 39713 6693 10 to to TO 39713 6693 11 present present VB 39713 6693 12 them -PRON- PRP 39713 6693 13 would would MD 39713 6693 14 be be VB 39713 6693 15 to to IN 39713 6693 16 misrepresent misrepresent NNP 39713 6693 17 Hilbert Hilbert NNP 39713 6693 18 's 's POS 39713 6693 19 thought thought NN 39713 6693 20 . . . 39713 6694 1 For for IN 39713 6694 2 him -PRON- PRP 39713 6694 3 mathematics mathematic NNS 39713 6694 4 has have VBZ 39713 6694 5 to to TO 39713 6694 6 combine combine VB 39713 6694 7 only only JJ 39713 6694 8 pure pure JJ 39713 6694 9 symbols symbol NNS 39713 6694 10 , , , 39713 6694 11 and and CC 39713 6694 12 a a DT 39713 6694 13 true true JJ 39713 6694 14 mathematician mathematician NN 39713 6694 15 should should MD 39713 6694 16 reason reason VB 39713 6694 17 upon upon IN 39713 6694 18 them -PRON- PRP 39713 6694 19 without without IN 39713 6694 20 preconceptions preconception NNS 39713 6694 21 as as IN 39713 6694 22 to to IN 39713 6694 23 their -PRON- PRP$ 39713 6694 24 meaning meaning NN 39713 6694 25 . . . 39713 6695 1 So so RB 39713 6695 2 his -PRON- PRP$ 39713 6695 3 assumptions assumption NNS 39713 6695 4 are be VBP 39713 6695 5 not not RB 39713 6695 6 for for IN 39713 6695 7 him -PRON- PRP 39713 6695 8 what what WP 39713 6695 9 they -PRON- PRP 39713 6695 10 are be VBP 39713 6695 11 for for IN 39713 6695 12 the the DT 39713 6695 13 common common JJ 39713 6695 14 people people NNS 39713 6695 15 . . . 39713 6696 1 He -PRON- PRP 39713 6696 2 considers consider VBZ 39713 6696 3 them -PRON- PRP 39713 6696 4 as as IN 39713 6696 5 representing represent VBG 39713 6696 6 the the DT 39713 6696 7 definition definition NN 39713 6696 8 by by IN 39713 6696 9 postulates postulate NNS 39713 6696 10 of of IN 39713 6696 11 the the DT 39713 6696 12 symbol symbol NN 39713 6696 13 ( ( -LRB- 39713 6696 14 =) =) NNP 39713 6696 15 heretofore heretofore RB 39713 6696 16 void void RB 39713 6696 17 of of IN 39713 6696 18 all all DT 39713 6696 19 signification signification NN 39713 6696 20 . . . 39713 6697 1 But but CC 39713 6697 2 to to TO 39713 6697 3 justify justify VB 39713 6697 4 this this DT 39713 6697 5 definition definition NN 39713 6697 6 we -PRON- PRP 39713 6697 7 must must MD 39713 6697 8 show show VB 39713 6697 9 that that IN 39713 6697 10 these these DT 39713 6697 11 two two CD 39713 6697 12 assumptions assumption NNS 39713 6697 13 lead lead VBP 39713 6697 14 to to IN 39713 6697 15 no no DT 39713 6697 16 contradiction contradiction NN 39713 6697 17 . . . 39713 6698 1 For for IN 39713 6698 2 this this DT 39713 6698 3 Hilbert Hilbert NNP 39713 6698 4 used use VBD 39713 6698 5 the the DT 39713 6698 6 reasoning reasoning NN 39713 6698 7 of of IN 39713 6698 8 our -PRON- PRP$ 39713 6698 9 number number NN 39713 6698 10 III III NNP 39713 6698 11 , , , 39713 6698 12 without without IN 39713 6698 13 appearing appear VBG 39713 6698 14 to to IN 39713 6698 15 perceive perceive VB 39713 6698 16 that that IN 39713 6698 17 he -PRON- PRP 39713 6698 18 is be VBZ 39713 6698 19 using use VBG 39713 6698 20 complete complete JJ 39713 6698 21 induction induction NN 39713 6698 22 . . . 39713 6699 1 IX ix NN 39713 6699 2 The the DT 39713 6699 3 end end NN 39713 6699 4 of of IN 39713 6699 5 Hilbert Hilbert NNP 39713 6699 6 's 's POS 39713 6699 7 memoir memoir NN 39713 6699 8 is be VBZ 39713 6699 9 altogether altogether RB 39713 6699 10 enigmatic enigmatic JJ 39713 6699 11 and and CC 39713 6699 12 I -PRON- PRP 39713 6699 13 shall shall MD 39713 6699 14 not not RB 39713 6699 15 lay lay VB 39713 6699 16 stress stress NN 39713 6699 17 upon upon IN 39713 6699 18 it -PRON- PRP 39713 6699 19 . . . 39713 6700 1 Contradictions contradiction NNS 39713 6700 2 accumulate accumulate VBP 39713 6700 3 ; ; : 39713 6700 4 we -PRON- PRP 39713 6700 5 feel feel VBP 39713 6700 6 that that IN 39713 6700 7 the the DT 39713 6700 8 author author NN 39713 6700 9 is be VBZ 39713 6700 10 dimly dimly RB 39713 6700 11 conscious conscious JJ 39713 6700 12 of of IN 39713 6700 13 the the DT 39713 6700 14 _ _ NNP 39713 6700 15 petitio petitio NNP 39713 6700 16 principii principii NN 39713 6700 17 _ _ NNP 39713 6700 18 he -PRON- PRP 39713 6700 19 has have VBZ 39713 6700 20 committed commit VBN 39713 6700 21 , , , 39713 6700 22 and and CC 39713 6700 23 that that IN 39713 6700 24 he -PRON- PRP 39713 6700 25 seeks seek VBZ 39713 6700 26 vainly vainly RB 39713 6700 27 to to TO 39713 6700 28 patch patch VB 39713 6700 29 up up RP 39713 6700 30 the the DT 39713 6700 31 holes hole NNS 39713 6700 32 in in IN 39713 6700 33 his -PRON- PRP$ 39713 6700 34 argument argument NN 39713 6700 35 . . . 39713 6701 1 What what WP 39713 6701 2 does do VBZ 39713 6701 3 this this DT 39713 6701 4 mean mean VB 39713 6701 5 ? ? . 39713 6702 1 At at IN 39713 6702 2 the the DT 39713 6702 3 point point NN 39713 6702 4 of of IN 39713 6702 5 proving prove VBG 39713 6702 6 that that IN 39713 6702 7 the the DT 39713 6702 8 definition definition NN 39713 6702 9 of of IN 39713 6702 10 the the DT 39713 6702 11 whole whole JJ 39713 6702 12 number number NN 39713 6702 13 by by IN 39713 6702 14 the the DT 39713 6702 15 assumption assumption NN 39713 6702 16 of of IN 39713 6702 17 complete complete JJ 39713 6702 18 induction induction NN 39713 6702 19 implies imply VBZ 39713 6702 20 no no DT 39713 6702 21 contradiction contradiction NN 39713 6702 22 , , , 39713 6702 23 Hilbert Hilbert NNP 39713 6702 24 withdraws withdraw VBZ 39713 6702 25 as as IN 39713 6702 26 Russell Russell NNP 39713 6702 27 and and CC 39713 6702 28 Couturat Couturat NNP 39713 6702 29 withdrew withdraw VBD 39713 6702 30 , , , 39713 6702 31 because because IN 39713 6702 32 the the DT 39713 6702 33 difficulty difficulty NN 39713 6702 34 is be VBZ 39713 6702 35 too too RB 39713 6702 36 great great JJ 39713 6702 37 . . . 39713 6703 1 X X NNP 39713 6703 2 _ _ NNP 39713 6703 3 Geometry Geometry NNP 39713 6703 4 _ _ NNP 39713 6703 5 Geometry Geometry NNP 39713 6703 6 , , , 39713 6703 7 says say VBZ 39713 6703 8 M. M. NNP 39713 6703 9 Couturat Couturat NNP 39713 6703 10 , , , 39713 6703 11 is be VBZ 39713 6703 12 a a DT 39713 6703 13 vast vast JJ 39713 6703 14 body body NN 39713 6703 15 of of IN 39713 6703 16 doctrine doctrine NN 39713 6703 17 wherein wherein WRB 39713 6703 18 the the DT 39713 6703 19 principle principle NN 39713 6703 20 of of IN 39713 6703 21 complete complete JJ 39713 6703 22 induction induction NN 39713 6703 23 does do VBZ 39713 6703 24 not not RB 39713 6703 25 enter enter VB 39713 6703 26 . . . 39713 6704 1 That that DT 39713 6704 2 is be VBZ 39713 6704 3 true true JJ 39713 6704 4 in in IN 39713 6704 5 a a DT 39713 6704 6 certain certain JJ 39713 6704 7 measure measure NN 39713 6704 8 ; ; : 39713 6704 9 we -PRON- PRP 39713 6704 10 can can MD 39713 6704 11 not not RB 39713 6704 12 say say VB 39713 6704 13 it -PRON- PRP 39713 6704 14 is be VBZ 39713 6704 15 entirely entirely RB 39713 6704 16 absent absent JJ 39713 6704 17 , , , 39713 6704 18 but but CC 39713 6704 19 it -PRON- PRP 39713 6704 20 enters enter VBZ 39713 6704 21 very very RB 39713 6704 22 slightly slightly RB 39713 6704 23 . . . 39713 6705 1 If if IN 39713 6705 2 we -PRON- PRP 39713 6705 3 refer refer VBP 39713 6705 4 to to IN 39713 6705 5 the the DT 39713 6705 6 _ _ NNP 39713 6705 7 Rational Rational NNP 39713 6705 8 Geometry Geometry NNP 39713 6705 9 _ _ NNP 39713 6705 10 of of IN 39713 6705 11 Dr. Dr. NNP 39713 6705 12 Halsted Halsted NNP 39713 6705 13 ( ( -LRB- 39713 6705 14 New New NNP 39713 6705 15 York York NNP 39713 6705 16 , , , 39713 6705 17 John John NNP 39713 6705 18 Wiley Wiley NNP 39713 6705 19 and and CC 39713 6705 20 Sons Sons NNPS 39713 6705 21 , , , 39713 6705 22 1904 1904 CD 39713 6705 23 ) ) -RRB- 39713 6705 24 built build VBN 39713 6705 25 up up RP 39713 6705 26 in in IN 39713 6705 27 accordance accordance NN 39713 6705 28 with with IN 39713 6705 29 the the DT 39713 6705 30 principles principle NNS 39713 6705 31 of of IN 39713 6705 32 Hilbert Hilbert NNP 39713 6705 33 , , , 39713 6705 34 we -PRON- PRP 39713 6705 35 see see VBP 39713 6705 36 the the DT 39713 6705 37 principle principle NN 39713 6705 38 of of IN 39713 6705 39 induction induction NN 39713 6705 40 enter enter VBP 39713 6705 41 for for IN 39713 6705 42 the the DT 39713 6705 43 first first JJ 39713 6705 44 time time NN 39713 6705 45 on on IN 39713 6705 46 page page NN 39713 6705 47 114 114 CD 39713 6705 48 ( ( -LRB- 39713 6705 49 unless unless IN 39713 6705 50 I -PRON- PRP 39713 6705 51 have have VBP 39713 6705 52 made make VBN 39713 6705 53 an an DT 39713 6705 54 oversight oversight NN 39713 6705 55 , , , 39713 6705 56 which which WDT 39713 6705 57 is be VBZ 39713 6705 58 quite quite RB 39713 6705 59 possible possible JJ 39713 6705 60 ) ) -RRB- 39713 6705 61 . . . 39713 6706 1 [ [ -LRB- 39713 6706 2 14 14 CD 39713 6706 3 ] ] -RRB- 39713 6706 4 [ [ -LRB- 39713 6706 5 14 14 CD 39713 6706 6 ] ] -RRB- 39713 6706 7 Second Second NNP 39713 6706 8 ed ed NNP 39713 6706 9 . . NNP 39713 6706 10 , , , 39713 6706 11 1907 1907 CD 39713 6706 12 , , , 39713 6706 13 p. p. NN 39713 6706 14 86 86 CD 39713 6706 15 ; ; : 39713 6706 16 French French NNP 39713 6706 17 ed ed NNP 39713 6706 18 . . NNP 39713 6706 19 , , , 39713 6706 20 1911 1911 CD 39713 6706 21 , , , 39713 6706 22 p. p. NN 39713 6706 23 97 97 CD 39713 6706 24 . . . 39713 6707 1 G. G. NNP 39713 6707 2 B. B. NNP 39713 6707 3 H. H. NNP 39713 6707 4 So so RB 39713 6707 5 geometry geometry NN 39713 6707 6 , , , 39713 6707 7 which which WDT 39713 6707 8 only only RB 39713 6707 9 a a DT 39713 6707 10 few few JJ 39713 6707 11 years year NNS 39713 6707 12 ago ago RB 39713 6707 13 seemed seem VBD 39713 6707 14 the the DT 39713 6707 15 domain domain NN 39713 6707 16 where where WRB 39713 6707 17 the the DT 39713 6707 18 reign reign NN 39713 6707 19 of of IN 39713 6707 20 intuition intuition NN 39713 6707 21 was be VBD 39713 6707 22 uncontested uncontested JJ 39713 6707 23 , , , 39713 6707 24 is be VBZ 39713 6707 25 to to TO 39713 6707 26 - - HYPH 39713 6707 27 day day NN 39713 6707 28 the the DT 39713 6707 29 realm realm NN 39713 6707 30 where where WRB 39713 6707 31 the the DT 39713 6707 32 logicians logicians NNPS 39713 6707 33 seem seem VBP 39713 6707 34 to to IN 39713 6707 35 triumph triumph NN 39713 6707 36 . . . 39713 6708 1 Nothing nothing NN 39713 6708 2 could could MD 39713 6708 3 better well RBR 39713 6708 4 measure measure VB 39713 6708 5 the the DT 39713 6708 6 importance importance NN 39713 6708 7 of of IN 39713 6708 8 the the DT 39713 6708 9 geometric geometric JJ 39713 6708 10 works work NNS 39713 6708 11 of of IN 39713 6708 12 Hilbert Hilbert NNP 39713 6708 13 and and CC 39713 6708 14 the the DT 39713 6708 15 profound profound JJ 39713 6708 16 impress impress NN 39713 6708 17 they -PRON- PRP 39713 6708 18 have have VBP 39713 6708 19 left leave VBN 39713 6708 20 on on IN 39713 6708 21 our -PRON- PRP$ 39713 6708 22 conceptions conception NNS 39713 6708 23 . . . 39713 6709 1 But but CC 39713 6709 2 be be VB 39713 6709 3 not not RB 39713 6709 4 deceived deceive VBN 39713 6709 5 . . . 39713 6710 1 What what WP 39713 6710 2 is be VBZ 39713 6710 3 after after IN 39713 6710 4 all all PDT 39713 6710 5 the the DT 39713 6710 6 fundamental fundamental JJ 39713 6710 7 theorem theorem NN 39713 6710 8 of of IN 39713 6710 9 geometry geometry NN 39713 6710 10 ? ? . 39713 6711 1 It -PRON- PRP 39713 6711 2 is be VBZ 39713 6711 3 that that IN 39713 6711 4 the the DT 39713 6711 5 assumptions assumption NNS 39713 6711 6 of of IN 39713 6711 7 geometry geometry NN 39713 6711 8 imply imply VBP 39713 6711 9 no no DT 39713 6711 10 contradiction contradiction NN 39713 6711 11 , , , 39713 6711 12 and and CC 39713 6711 13 this this DT 39713 6711 14 we -PRON- PRP 39713 6711 15 can can MD 39713 6711 16 not not RB 39713 6711 17 prove prove VB 39713 6711 18 without without IN 39713 6711 19 the the DT 39713 6711 20 principle principle NN 39713 6711 21 of of IN 39713 6711 22 induction induction NN 39713 6711 23 . . . 39713 6712 1 How how WRB 39713 6712 2 does do VBZ 39713 6712 3 Hilbert Hilbert NNP 39713 6712 4 demonstrate demonstrate VB 39713 6712 5 this this DT 39713 6712 6 essential essential JJ 39713 6712 7 point point NN 39713 6712 8 ? ? . 39713 6713 1 By by IN 39713 6713 2 leaning lean VBG 39713 6713 3 upon upon IN 39713 6713 4 analysis analysis NN 39713 6713 5 and and CC 39713 6713 6 through through IN 39713 6713 7 it -PRON- PRP 39713 6713 8 upon upon IN 39713 6713 9 arithmetic arithmetic JJ 39713 6713 10 and and CC 39713 6713 11 through through IN 39713 6713 12 it -PRON- PRP 39713 6713 13 upon upon IN 39713 6713 14 the the DT 39713 6713 15 principle principle NN 39713 6713 16 of of IN 39713 6713 17 induction induction NN 39713 6713 18 . . . 39713 6714 1 And and CC 39713 6714 2 if if IN 39713 6714 3 ever ever RB 39713 6714 4 one one CD 39713 6714 5 invents invent VBZ 39713 6714 6 another another DT 39713 6714 7 demonstration demonstration NN 39713 6714 8 , , , 39713 6714 9 it -PRON- PRP 39713 6714 10 will will MD 39713 6714 11 still still RB 39713 6714 12 be be VB 39713 6714 13 necessary necessary JJ 39713 6714 14 to to TO 39713 6714 15 lean lean VB 39713 6714 16 upon upon IN 39713 6714 17 this this DT 39713 6714 18 principle principle NN 39713 6714 19 , , , 39713 6714 20 since since IN 39713 6714 21 the the DT 39713 6714 22 possible possible JJ 39713 6714 23 consequences consequence NNS 39713 6714 24 of of IN 39713 6714 25 the the DT 39713 6714 26 assumptions assumption NNS 39713 6714 27 , , , 39713 6714 28 of of IN 39713 6714 29 which which WDT 39713 6714 30 it -PRON- PRP 39713 6714 31 is be VBZ 39713 6714 32 necessary necessary JJ 39713 6714 33 to to TO 39713 6714 34 show show VB 39713 6714 35 that that IN 39713 6714 36 they -PRON- PRP 39713 6714 37 are be VBP 39713 6714 38 not not RB 39713 6714 39 contradictory contradictory JJ 39713 6714 40 , , , 39713 6714 41 are be VBP 39713 6714 42 infinite infinite JJ 39713 6714 43 in in IN 39713 6714 44 number number NN 39713 6714 45 . . . 39713 6715 1 XI XI NNP 39713 6715 2 _ _ NNP 39713 6715 3 Conclusion Conclusion NNP 39713 6715 4 _ _ NNP 39713 6715 5 Our -PRON- PRP$ 39713 6715 6 conclusion conclusion NN 39713 6715 7 straightway straightway NN 39713 6715 8 is be VBZ 39713 6715 9 that that IN 39713 6715 10 the the DT 39713 6715 11 principle principle NN 39713 6715 12 of of IN 39713 6715 13 induction induction NN 39713 6715 14 can can MD 39713 6715 15 not not RB 39713 6715 16 be be VB 39713 6715 17 regarded regard VBN 39713 6715 18 as as IN 39713 6715 19 the the DT 39713 6715 20 disguised disguised JJ 39713 6715 21 definition definition NN 39713 6715 22 of of IN 39713 6715 23 the the DT 39713 6715 24 entire entire JJ 39713 6715 25 world world NN 39713 6715 26 . . . 39713 6716 1 Here here RB 39713 6716 2 are be VBP 39713 6716 3 three three CD 39713 6716 4 truths truth NNS 39713 6716 5 : : : 39713 6716 6 ( ( -LRB- 39713 6716 7 1 1 LS 39713 6716 8 ) ) -RRB- 39713 6716 9 The the DT 39713 6716 10 principle principle NN 39713 6716 11 of of IN 39713 6716 12 complete complete JJ 39713 6716 13 induction induction NN 39713 6716 14 ; ; : 39713 6716 15 ( ( -LRB- 39713 6716 16 2 2 LS 39713 6716 17 ) ) -RRB- 39713 6716 18 Euclid Euclid NNP 39713 6716 19 's 's POS 39713 6716 20 postulate postulate NN 39713 6716 21 ; ; : 39713 6716 22 ( ( -LRB- 39713 6716 23 3 3 LS 39713 6716 24 ) ) -RRB- 39713 6716 25 the the DT 39713 6716 26 physical physical JJ 39713 6716 27 law law NN 39713 6716 28 according accord VBG 39713 6716 29 to to IN 39713 6716 30 which which WDT 39713 6716 31 phosphorus phosphorus NN 39713 6716 32 melts melt NNS 39713 6716 33 at at IN 39713 6716 34 44 44 CD 39713 6716 35 ° ° NNS 39713 6716 36 ( ( -LRB- 39713 6716 37 cited cite VBN 39713 6716 38 by by IN 39713 6716 39 M. M. NNP 39713 6716 40 Le Le NNP 39713 6716 41 Roy Roy NNP 39713 6716 42 ) ) -RRB- 39713 6716 43 . . . 39713 6717 1 These these DT 39713 6717 2 are be VBP 39713 6717 3 said say VBN 39713 6717 4 to to TO 39713 6717 5 be be VB 39713 6717 6 three three CD 39713 6717 7 disguised disguised JJ 39713 6717 8 definitions definition NNS 39713 6717 9 : : : 39713 6717 10 the the DT 39713 6717 11 first first JJ 39713 6717 12 , , , 39713 6717 13 that that DT 39713 6717 14 of of IN 39713 6717 15 the the DT 39713 6717 16 whole whole JJ 39713 6717 17 number number NN 39713 6717 18 ; ; : 39713 6717 19 the the DT 39713 6717 20 second second JJ 39713 6717 21 , , , 39713 6717 22 that that DT 39713 6717 23 of of IN 39713 6717 24 the the DT 39713 6717 25 straight straight JJ 39713 6717 26 line line NN 39713 6717 27 ; ; : 39713 6717 28 the the DT 39713 6717 29 third third JJ 39713 6717 30 , , , 39713 6717 31 that that DT 39713 6717 32 of of IN 39713 6717 33 phosphorus phosphorus NN 39713 6717 34 . . . 39713 6718 1 I -PRON- PRP 39713 6718 2 grant grant VBP 39713 6718 3 it -PRON- PRP 39713 6718 4 for for IN 39713 6718 5 the the DT 39713 6718 6 second second JJ 39713 6718 7 ; ; : 39713 6718 8 I -PRON- PRP 39713 6718 9 do do VBP 39713 6718 10 not not RB 39713 6718 11 admit admit VB 39713 6718 12 it -PRON- PRP 39713 6718 13 for for IN 39713 6718 14 the the DT 39713 6718 15 other other JJ 39713 6718 16 two two CD 39713 6718 17 . . . 39713 6719 1 I -PRON- PRP 39713 6719 2 must must MD 39713 6719 3 explain explain VB 39713 6719 4 the the DT 39713 6719 5 reason reason NN 39713 6719 6 for for IN 39713 6719 7 this this DT 39713 6719 8 apparent apparent JJ 39713 6719 9 inconsistency inconsistency NN 39713 6719 10 . . . 39713 6720 1 First first RB 39713 6720 2 , , , 39713 6720 3 we -PRON- PRP 39713 6720 4 have have VBP 39713 6720 5 seen see VBN 39713 6720 6 that that IN 39713 6720 7 a a DT 39713 6720 8 definition definition NN 39713 6720 9 is be VBZ 39713 6720 10 acceptable acceptable JJ 39713 6720 11 only only RB 39713 6720 12 on on IN 39713 6720 13 condition condition NN 39713 6720 14 that that IN 39713 6720 15 it -PRON- PRP 39713 6720 16 implies imply VBZ 39713 6720 17 no no DT 39713 6720 18 contradiction contradiction NN 39713 6720 19 . . . 39713 6721 1 We -PRON- PRP 39713 6721 2 have have VBP 39713 6721 3 shown show VBN 39713 6721 4 likewise likewise RB 39713 6721 5 that that DT 39713 6721 6 for for IN 39713 6721 7 the the DT 39713 6721 8 first first JJ 39713 6721 9 definition definition NN 39713 6721 10 this this DT 39713 6721 11 demonstration demonstration NN 39713 6721 12 is be VBZ 39713 6721 13 impossible impossible JJ 39713 6721 14 ; ; : 39713 6721 15 on on IN 39713 6721 16 the the DT 39713 6721 17 other other JJ 39713 6721 18 hand hand NN 39713 6721 19 , , , 39713 6721 20 we -PRON- PRP 39713 6721 21 have have VBP 39713 6721 22 just just RB 39713 6721 23 recalled recall VBN 39713 6721 24 that that IN 39713 6721 25 for for IN 39713 6721 26 the the DT 39713 6721 27 second second JJ 39713 6721 28 Hilbert Hilbert NNP 39713 6721 29 has have VBZ 39713 6721 30 given give VBN 39713 6721 31 a a DT 39713 6721 32 complete complete JJ 39713 6721 33 proof proof NN 39713 6721 34 . . . 39713 6722 1 As as IN 39713 6722 2 to to IN 39713 6722 3 the the DT 39713 6722 4 third third JJ 39713 6722 5 , , , 39713 6722 6 evidently evidently RB 39713 6722 7 it -PRON- PRP 39713 6722 8 implies imply VBZ 39713 6722 9 no no DT 39713 6722 10 contradiction contradiction NN 39713 6722 11 . . . 39713 6723 1 Does do VBZ 39713 6723 2 this this DT 39713 6723 3 mean mean VB 39713 6723 4 that that IN 39713 6723 5 the the DT 39713 6723 6 definition definition NN 39713 6723 7 guarantees guarantee VBZ 39713 6723 8 , , , 39713 6723 9 as as IN 39713 6723 10 it -PRON- PRP 39713 6723 11 should should MD 39713 6723 12 , , , 39713 6723 13 the the DT 39713 6723 14 existence existence NN 39713 6723 15 of of IN 39713 6723 16 the the DT 39713 6723 17 object object NN 39713 6723 18 defined define VBN 39713 6723 19 ? ? . 39713 6724 1 We -PRON- PRP 39713 6724 2 are be VBP 39713 6724 3 here here RB 39713 6724 4 no no RB 39713 6724 5 longer long RBR 39713 6724 6 in in IN 39713 6724 7 the the DT 39713 6724 8 mathematical mathematical JJ 39713 6724 9 sciences science NNS 39713 6724 10 , , , 39713 6724 11 but but CC 39713 6724 12 in in IN 39713 6724 13 the the DT 39713 6724 14 physical physical NN 39713 6724 15 , , , 39713 6724 16 and and CC 39713 6724 17 the the DT 39713 6724 18 word word NN 39713 6724 19 existence existence NN 39713 6724 20 has have VBZ 39713 6724 21 no no RB 39713 6724 22 longer long RBR 39713 6724 23 the the DT 39713 6724 24 same same JJ 39713 6724 25 meaning meaning NN 39713 6724 26 . . . 39713 6725 1 It -PRON- PRP 39713 6725 2 no no RB 39713 6725 3 longer long RBR 39713 6725 4 signifies signify VBZ 39713 6725 5 absence absence NN 39713 6725 6 of of IN 39713 6725 7 contradiction contradiction NN 39713 6725 8 ; ; : 39713 6725 9 it -PRON- PRP 39713 6725 10 means mean VBZ 39713 6725 11 objective objective JJ 39713 6725 12 existence existence NN 39713 6725 13 . . . 39713 6726 1 You -PRON- PRP 39713 6726 2 already already RB 39713 6726 3 see see VBP 39713 6726 4 a a DT 39713 6726 5 first first JJ 39713 6726 6 reason reason NN 39713 6726 7 for for IN 39713 6726 8 the the DT 39713 6726 9 distinction distinction NN 39713 6726 10 I -PRON- PRP 39713 6726 11 made make VBD 39713 6726 12 between between IN 39713 6726 13 the the DT 39713 6726 14 three three CD 39713 6726 15 cases case NNS 39713 6726 16 ; ; : 39713 6726 17 there there EX 39713 6726 18 is be VBZ 39713 6726 19 a a DT 39713 6726 20 second second NN 39713 6726 21 . . . 39713 6727 1 In in IN 39713 6727 2 the the DT 39713 6727 3 applications application NNS 39713 6727 4 we -PRON- PRP 39713 6727 5 have have VBP 39713 6727 6 to to TO 39713 6727 7 make make VB 39713 6727 8 of of IN 39713 6727 9 these these DT 39713 6727 10 three three CD 39713 6727 11 concepts concept NNS 39713 6727 12 , , , 39713 6727 13 do do VBP 39713 6727 14 they -PRON- PRP 39713 6727 15 present present VB 39713 6727 16 themselves -PRON- PRP 39713 6727 17 to to IN 39713 6727 18 us -PRON- PRP 39713 6727 19 as as IN 39713 6727 20 defined define VBN 39713 6727 21 by by IN 39713 6727 22 these these DT 39713 6727 23 three three CD 39713 6727 24 postulates postulate NNS 39713 6727 25 ? ? . 39713 6728 1 The the DT 39713 6728 2 possible possible JJ 39713 6728 3 applications application NNS 39713 6728 4 of of IN 39713 6728 5 the the DT 39713 6728 6 principle principle NN 39713 6728 7 of of IN 39713 6728 8 induction induction NN 39713 6728 9 are be VBP 39713 6728 10 innumerable innumerable JJ 39713 6728 11 ; ; : 39713 6728 12 take take VB 39713 6728 13 , , , 39713 6728 14 for for IN 39713 6728 15 example example NN 39713 6728 16 , , , 39713 6728 17 one one CD 39713 6728 18 of of IN 39713 6728 19 those those DT 39713 6728 20 we -PRON- PRP 39713 6728 21 have have VBP 39713 6728 22 expounded expound VBN 39713 6728 23 above above RB 39713 6728 24 , , , 39713 6728 25 and and CC 39713 6728 26 where where WRB 39713 6728 27 it -PRON- PRP 39713 6728 28 is be VBZ 39713 6728 29 sought seek VBN 39713 6728 30 to to TO 39713 6728 31 prove prove VB 39713 6728 32 that that IN 39713 6728 33 an an DT 39713 6728 34 aggregate aggregate NN 39713 6728 35 of of IN 39713 6728 36 assumptions assumption NNS 39713 6728 37 can can MD 39713 6728 38 lead lead VB 39713 6728 39 to to IN 39713 6728 40 no no DT 39713 6728 41 contradiction contradiction NN 39713 6728 42 . . . 39713 6729 1 For for IN 39713 6729 2 this this DT 39713 6729 3 we -PRON- PRP 39713 6729 4 consider consider VBP 39713 6729 5 one one CD 39713 6729 6 of of IN 39713 6729 7 the the DT 39713 6729 8 series series NN 39713 6729 9 of of IN 39713 6729 10 syllogisms syllogism NNS 39713 6729 11 we -PRON- PRP 39713 6729 12 may may MD 39713 6729 13 go go VB 39713 6729 14 on on RP 39713 6729 15 with with IN 39713 6729 16 in in IN 39713 6729 17 starting start VBG 39713 6729 18 from from IN 39713 6729 19 these these DT 39713 6729 20 assumptions assumption NNS 39713 6729 21 as as IN 39713 6729 22 premises premise NNS 39713 6729 23 . . . 39713 6730 1 When when WRB 39713 6730 2 we -PRON- PRP 39713 6730 3 have have VBP 39713 6730 4 finished finish VBN 39713 6730 5 the the DT 39713 6730 6 _ _ NNP 39713 6730 7 n_th n_th NNP 39713 6730 8 syllogism syllogism NN 39713 6730 9 , , , 39713 6730 10 we -PRON- PRP 39713 6730 11 see see VBP 39713 6730 12 we -PRON- PRP 39713 6730 13 can can MD 39713 6730 14 make make VB 39713 6730 15 still still RB 39713 6730 16 another another DT 39713 6730 17 and and CC 39713 6730 18 this this DT 39713 6730 19 is be VBZ 39713 6730 20 the the DT 39713 6730 21 _ _ NNP 39713 6730 22 n n NNP 39713 6730 23 _ _ NNP 39713 6730 24 + + SYM 39713 6730 25 1th 1th NN 39713 6730 26 . . . 39713 6731 1 Thus thus RB 39713 6731 2 the the DT 39713 6731 3 number number NN 39713 6731 4 _ _ NNP 39713 6731 5 n n NNP 39713 6731 6 _ _ NNP 39713 6731 7 serves serve VBZ 39713 6731 8 to to TO 39713 6731 9 count count VB 39713 6731 10 a a DT 39713 6731 11 series series NN 39713 6731 12 of of IN 39713 6731 13 successive successive JJ 39713 6731 14 operations operation NNS 39713 6731 15 ; ; : 39713 6731 16 it -PRON- PRP 39713 6731 17 is be VBZ 39713 6731 18 a a DT 39713 6731 19 number number NN 39713 6731 20 obtainable obtainable JJ 39713 6731 21 by by IN 39713 6731 22 successive successive JJ 39713 6731 23 additions addition NNS 39713 6731 24 . . . 39713 6732 1 This this DT 39713 6732 2 therefore therefore RB 39713 6732 3 is be VBZ 39713 6732 4 a a DT 39713 6732 5 number number NN 39713 6732 6 from from IN 39713 6732 7 which which WDT 39713 6732 8 we -PRON- PRP 39713 6732 9 may may MD 39713 6732 10 go go VB 39713 6732 11 back back RB 39713 6732 12 to to IN 39713 6732 13 unity unity NN 39713 6732 14 by by IN 39713 6732 15 _ _ NNP 39713 6732 16 successive successive JJ 39713 6732 17 subtractions subtraction NNS 39713 6732 18 _ _ NNP 39713 6732 19 . . . 39713 6733 1 Evidently evidently RB 39713 6733 2 we -PRON- PRP 39713 6733 3 could could MD 39713 6733 4 not not RB 39713 6733 5 do do VB 39713 6733 6 this this DT 39713 6733 7 if if IN 39713 6733 8 we -PRON- PRP 39713 6733 9 had have VBD 39713 6733 10 _ _ NNP 39713 6733 11 n n CC 39713 6733 12 _ _ NNP 39713 6733 13 = = SYM 39713 6733 14 _ _ NNP 39713 6733 15 n n CC 39713 6733 16 _ _ NNP 39713 6733 17 - - HYPH 39713 6733 18 1 1 NNP 39713 6733 19 , , , 39713 6733 20 since since IN 39713 6733 21 then then RB 39713 6733 22 by by IN 39713 6733 23 subtraction subtraction NN 39713 6733 24 we -PRON- PRP 39713 6733 25 should should MD 39713 6733 26 always always RB 39713 6733 27 obtain obtain VB 39713 6733 28 again again RB 39713 6733 29 the the DT 39713 6733 30 same same JJ 39713 6733 31 number number NN 39713 6733 32 . . . 39713 6734 1 So so RB 39713 6734 2 the the DT 39713 6734 3 way way NN 39713 6734 4 we -PRON- PRP 39713 6734 5 have have VBP 39713 6734 6 been be VBN 39713 6734 7 led lead VBN 39713 6734 8 to to TO 39713 6734 9 consider consider VB 39713 6734 10 this this DT 39713 6734 11 number number NN 39713 6734 12 _ _ NNP 39713 6734 13 n n NNP 39713 6734 14 _ _ NNP 39713 6734 15 implies imply VBZ 39713 6734 16 a a DT 39713 6734 17 definition definition NN 39713 6734 18 of of IN 39713 6734 19 the the DT 39713 6734 20 finite finite NNP 39713 6734 21 whole whole JJ 39713 6734 22 number number NN 39713 6734 23 and and CC 39713 6734 24 this this DT 39713 6734 25 definition definition NN 39713 6734 26 is be VBZ 39713 6734 27 the the DT 39713 6734 28 following follow VBG 39713 6734 29 : : : 39713 6734 30 A a DT 39713 6734 31 finite finite JJ 39713 6734 32 whole whole JJ 39713 6734 33 number number NN 39713 6734 34 is be VBZ 39713 6734 35 that that DT 39713 6734 36 which which WDT 39713 6734 37 can can MD 39713 6734 38 be be VB 39713 6734 39 obtained obtain VBN 39713 6734 40 by by IN 39713 6734 41 successive successive JJ 39713 6734 42 additions addition NNS 39713 6734 43 ; ; : 39713 6734 44 it -PRON- PRP 39713 6734 45 is be VBZ 39713 6734 46 such such JJ 39713 6734 47 that that IN 39713 6734 48 _ _ NNP 39713 6734 49 n n CC 39713 6734 50 _ _ NNP 39713 6734 51 is be VBZ 39713 6734 52 not not RB 39713 6734 53 equal equal JJ 39713 6734 54 to to IN 39713 6734 55 _ _ NNP 39713 6734 56 n n CC 39713 6734 57 _ _ NNP 39713 6734 58 - - HYPH 39713 6734 59 1 1 NNP 39713 6734 60 . . . 39713 6735 1 That that DT 39713 6735 2 granted grant VBN 39713 6735 3 , , , 39713 6735 4 what what WP 39713 6735 5 do do VBP 39713 6735 6 we -PRON- PRP 39713 6735 7 do do VB 39713 6735 8 ? ? . 39713 6736 1 We -PRON- PRP 39713 6736 2 show show VBP 39713 6736 3 that that IN 39713 6736 4 if if IN 39713 6736 5 there there EX 39713 6736 6 has have VBZ 39713 6736 7 been be VBN 39713 6736 8 no no DT 39713 6736 9 contradiction contradiction NN 39713 6736 10 up up IN 39713 6736 11 to to IN 39713 6736 12 the the DT 39713 6736 13 _ _ NNP 39713 6736 14 n_th n_th NNP 39713 6736 15 syllogism syllogism NN 39713 6736 16 , , , 39713 6736 17 no no DT 39713 6736 18 more more RBR 39713 6736 19 will will MD 39713 6736 20 there there EX 39713 6736 21 be be VB 39713 6736 22 up up IN 39713 6736 23 to to IN 39713 6736 24 the the DT 39713 6736 25 _ _ NNP 39713 6736 26 n n NNP 39713 6736 27 _ _ NNP 39713 6736 28 + + SYM 39713 6736 29 1th 1th NN 39713 6736 30 , , , 39713 6736 31 and and CC 39713 6736 32 we -PRON- PRP 39713 6736 33 conclude conclude VBP 39713 6736 34 there there RB 39713 6736 35 never never RB 39713 6736 36 will will MD 39713 6736 37 be be VB 39713 6736 38 . . . 39713 6737 1 You -PRON- PRP 39713 6737 2 say say VBP 39713 6737 3 : : : 39713 6737 4 I -PRON- PRP 39713 6737 5 have have VBP 39713 6737 6 the the DT 39713 6737 7 right right NN 39713 6737 8 to to TO 39713 6737 9 draw draw VB 39713 6737 10 this this DT 39713 6737 11 conclusion conclusion NN 39713 6737 12 , , , 39713 6737 13 since since IN 39713 6737 14 the the DT 39713 6737 15 whole whole JJ 39713 6737 16 numbers number NNS 39713 6737 17 are be VBP 39713 6737 18 by by IN 39713 6737 19 definition definition NN 39713 6737 20 those those DT 39713 6737 21 for for IN 39713 6737 22 which which WDT 39713 6737 23 a a DT 39713 6737 24 like like JJ 39713 6737 25 reasoning reasoning NN 39713 6737 26 is be VBZ 39713 6737 27 legitimate legitimate JJ 39713 6737 28 . . . 39713 6738 1 But but CC 39713 6738 2 that that DT 39713 6738 3 implies imply VBZ 39713 6738 4 another another DT 39713 6738 5 definition definition NN 39713 6738 6 of of IN 39713 6738 7 the the DT 39713 6738 8 whole whole JJ 39713 6738 9 number number NN 39713 6738 10 , , , 39713 6738 11 which which WDT 39713 6738 12 is be VBZ 39713 6738 13 as as IN 39713 6738 14 follows follow VBZ 39713 6738 15 : : : 39713 6738 16 A a DT 39713 6738 17 whole whole JJ 39713 6738 18 number number NN 39713 6738 19 is be VBZ 39713 6738 20 that that DT 39713 6738 21 on on IN 39713 6738 22 which which WDT 39713 6738 23 we -PRON- PRP 39713 6738 24 may may MD 39713 6738 25 reason reason VB 39713 6738 26 by by IN 39713 6738 27 recurrence recurrence NN 39713 6738 28 . . . 39713 6739 1 In in IN 39713 6739 2 the the DT 39713 6739 3 particular particular JJ 39713 6739 4 case case NN 39713 6739 5 it -PRON- PRP 39713 6739 6 is be VBZ 39713 6739 7 that that DT 39713 6739 8 of of IN 39713 6739 9 which which WDT 39713 6739 10 we -PRON- PRP 39713 6739 11 may may MD 39713 6739 12 say say VB 39713 6739 13 that that IN 39713 6739 14 , , , 39713 6739 15 if if IN 39713 6739 16 the the DT 39713 6739 17 absence absence NN 39713 6739 18 of of IN 39713 6739 19 contradiction contradiction NN 39713 6739 20 up up IN 39713 6739 21 to to IN 39713 6739 22 the the DT 39713 6739 23 time time NN 39713 6739 24 of of IN 39713 6739 25 a a DT 39713 6739 26 syllogism syllogism NN 39713 6739 27 of of IN 39713 6739 28 which which WDT 39713 6739 29 the the DT 39713 6739 30 number number NN 39713 6739 31 is be VBZ 39713 6739 32 an an DT 39713 6739 33 integer integer NN 39713 6739 34 carries carry VBZ 39713 6739 35 with with IN 39713 6739 36 it -PRON- PRP 39713 6739 37 the the DT 39713 6739 38 absence absence NN 39713 6739 39 of of IN 39713 6739 40 contradiction contradiction NN 39713 6739 41 up up IN 39713 6739 42 to to IN 39713 6739 43 the the DT 39713 6739 44 time time NN 39713 6739 45 of of IN 39713 6739 46 the the DT 39713 6739 47 syllogism syllogism NN 39713 6739 48 whose whose WP$ 39713 6739 49 number number NN 39713 6739 50 is be VBZ 39713 6739 51 the the DT 39713 6739 52 following follow VBG 39713 6739 53 integer integer NN 39713 6739 54 , , , 39713 6739 55 we -PRON- PRP 39713 6739 56 need need VBP 39713 6739 57 fear fear NN 39713 6739 58 no no DT 39713 6739 59 contradiction contradiction NN 39713 6739 60 for for IN 39713 6739 61 any any DT 39713 6739 62 of of IN 39713 6739 63 the the DT 39713 6739 64 syllogisms syllogism NNS 39713 6739 65 whose whose WP$ 39713 6739 66 number number NN 39713 6739 67 is be VBZ 39713 6739 68 an an DT 39713 6739 69 integer integer NN 39713 6739 70 . . . 39713 6740 1 The the DT 39713 6740 2 two two CD 39713 6740 3 definitions definition NNS 39713 6740 4 are be VBP 39713 6740 5 not not RB 39713 6740 6 identical identical JJ 39713 6740 7 ; ; : 39713 6740 8 they -PRON- PRP 39713 6740 9 are be VBP 39713 6740 10 doubtless doubtless RB 39713 6740 11 equivalent equivalent JJ 39713 6740 12 , , , 39713 6740 13 but but CC 39713 6740 14 only only RB 39713 6740 15 in in IN 39713 6740 16 virtue virtue NN 39713 6740 17 of of IN 39713 6740 18 a a DT 39713 6740 19 synthetic synthetic JJ 39713 6740 20 judgment judgment NN 39713 6740 21 _ _ NNP 39713 6740 22 a a DT 39713 6740 23 priori priori FW 39713 6740 24 _ _ NNP 39713 6740 25 ; ; : 39713 6740 26 we -PRON- PRP 39713 6740 27 can can MD 39713 6740 28 not not RB 39713 6740 29 pass pass VB 39713 6740 30 from from IN 39713 6740 31 one one CD 39713 6740 32 to to IN 39713 6740 33 the the DT 39713 6740 34 other other JJ 39713 6740 35 by by IN 39713 6740 36 a a DT 39713 6740 37 purely purely RB 39713 6740 38 logical logical JJ 39713 6740 39 procedure procedure NN 39713 6740 40 . . . 39713 6741 1 Consequently consequently RB 39713 6741 2 we -PRON- PRP 39713 6741 3 have have VBP 39713 6741 4 no no DT 39713 6741 5 right right NN 39713 6741 6 to to TO 39713 6741 7 adopt adopt VB 39713 6741 8 the the DT 39713 6741 9 second second JJ 39713 6741 10 , , , 39713 6741 11 after after IN 39713 6741 12 having have VBG 39713 6741 13 introduced introduce VBN 39713 6741 14 the the DT 39713 6741 15 whole whole JJ 39713 6741 16 number number NN 39713 6741 17 by by IN 39713 6741 18 a a DT 39713 6741 19 way way NN 39713 6741 20 that that WDT 39713 6741 21 presupposes presuppose VBZ 39713 6741 22 the the DT 39713 6741 23 first first JJ 39713 6741 24 . . . 39713 6742 1 On on IN 39713 6742 2 the the DT 39713 6742 3 other other JJ 39713 6742 4 hand hand NN 39713 6742 5 , , , 39713 6742 6 what what WP 39713 6742 7 happens happen VBZ 39713 6742 8 with with IN 39713 6742 9 regard regard NN 39713 6742 10 to to IN 39713 6742 11 the the DT 39713 6742 12 straight straight JJ 39713 6742 13 line line NN 39713 6742 14 ? ? . 39713 6743 1 I -PRON- PRP 39713 6743 2 have have VBP 39713 6743 3 already already RB 39713 6743 4 explained explain VBN 39713 6743 5 this this DT 39713 6743 6 so so RB 39713 6743 7 often often RB 39713 6743 8 that that IN 39713 6743 9 I -PRON- PRP 39713 6743 10 hesitate hesitate VBP 39713 6743 11 to to TO 39713 6743 12 repeat repeat VB 39713 6743 13 it -PRON- PRP 39713 6743 14 again again RB 39713 6743 15 , , , 39713 6743 16 and and CC 39713 6743 17 shall shall MD 39713 6743 18 confine confine VB 39713 6743 19 myself -PRON- PRP 39713 6743 20 to to IN 39713 6743 21 a a DT 39713 6743 22 brief brief JJ 39713 6743 23 recapitulation recapitulation NN 39713 6743 24 of of IN 39713 6743 25 my -PRON- PRP$ 39713 6743 26 thought thought NN 39713 6743 27 . . . 39713 6744 1 We -PRON- PRP 39713 6744 2 have have VBP 39713 6744 3 not not RB 39713 6744 4 , , , 39713 6744 5 as as IN 39713 6744 6 in in IN 39713 6744 7 the the DT 39713 6744 8 preceding precede VBG 39713 6744 9 case case NN 39713 6744 10 , , , 39713 6744 11 two two CD 39713 6744 12 equivalent equivalent JJ 39713 6744 13 definitions definition NNS 39713 6744 14 logically logically RB 39713 6744 15 irreducible irreducible JJ 39713 6744 16 one one CD 39713 6744 17 to to IN 39713 6744 18 the the DT 39713 6744 19 other other JJ 39713 6744 20 . . . 39713 6745 1 We -PRON- PRP 39713 6745 2 have have VBP 39713 6745 3 only only RB 39713 6745 4 one one CD 39713 6745 5 expressible expressible NN 39713 6745 6 in in IN 39713 6745 7 words word NNS 39713 6745 8 . . . 39713 6746 1 Will Will MD 39713 6746 2 it -PRON- PRP 39713 6746 3 be be VB 39713 6746 4 said say VBN 39713 6746 5 there there EX 39713 6746 6 is be VBZ 39713 6746 7 another another DT 39713 6746 8 which which WDT 39713 6746 9 we -PRON- PRP 39713 6746 10 feel feel VBP 39713 6746 11 without without IN 39713 6746 12 being be VBG 39713 6746 13 able able JJ 39713 6746 14 to to TO 39713 6746 15 word word VB 39713 6746 16 it -PRON- PRP 39713 6746 17 , , , 39713 6746 18 since since IN 39713 6746 19 we -PRON- PRP 39713 6746 20 have have VBP 39713 6746 21 the the DT 39713 6746 22 intuition intuition NN 39713 6746 23 of of IN 39713 6746 24 the the DT 39713 6746 25 straight straight JJ 39713 6746 26 line line NN 39713 6746 27 or or CC 39713 6746 28 since since IN 39713 6746 29 we -PRON- PRP 39713 6746 30 represent represent VBP 39713 6746 31 to to IN 39713 6746 32 ourselves -PRON- PRP 39713 6746 33 the the DT 39713 6746 34 straight straight JJ 39713 6746 35 line line NN 39713 6746 36 ? ? . 39713 6747 1 First first RB 39713 6747 2 of of IN 39713 6747 3 all all DT 39713 6747 4 , , , 39713 6747 5 we -PRON- PRP 39713 6747 6 can can MD 39713 6747 7 not not RB 39713 6747 8 represent represent VB 39713 6747 9 it -PRON- PRP 39713 6747 10 to to IN 39713 6747 11 ourselves -PRON- PRP 39713 6747 12 in in IN 39713 6747 13 geometric geometric JJ 39713 6747 14 space space NN 39713 6747 15 , , , 39713 6747 16 but but CC 39713 6747 17 only only RB 39713 6747 18 in in IN 39713 6747 19 representative representative JJ 39713 6747 20 space space NN 39713 6747 21 , , , 39713 6747 22 and and CC 39713 6747 23 then then RB 39713 6747 24 we -PRON- PRP 39713 6747 25 can can MD 39713 6747 26 represent represent VB 39713 6747 27 to to IN 39713 6747 28 ourselves -PRON- PRP 39713 6747 29 just just RB 39713 6747 30 as as RB 39713 6747 31 well well RB 39713 6747 32 the the DT 39713 6747 33 objects object NNS 39713 6747 34 which which WDT 39713 6747 35 possess possess VBP 39713 6747 36 the the DT 39713 6747 37 other other JJ 39713 6747 38 properties property NNS 39713 6747 39 of of IN 39713 6747 40 the the DT 39713 6747 41 straight straight JJ 39713 6747 42 line line NN 39713 6747 43 , , , 39713 6747 44 save save VB 39713 6747 45 that that DT 39713 6747 46 of of IN 39713 6747 47 satisfying satisfy VBG 39713 6747 48 Euclid Euclid NNP 39713 6747 49 's 's POS 39713 6747 50 postulate postulate NN 39713 6747 51 . . . 39713 6748 1 These these DT 39713 6748 2 objects object NNS 39713 6748 3 are be VBP 39713 6748 4 ' ' `` 39713 6748 5 the the DT 39713 6748 6 non non JJ 39713 6748 7 - - JJ 39713 6748 8 Euclidean euclidean JJ 39713 6748 9 straights straight NNS 39713 6748 10 , , , 39713 6748 11 ' ' '' 39713 6748 12 which which WDT 39713 6748 13 from from IN 39713 6748 14 a a DT 39713 6748 15 certain certain JJ 39713 6748 16 point point NN 39713 6748 17 of of IN 39713 6748 18 view view NN 39713 6748 19 are be VBP 39713 6748 20 not not RB 39713 6748 21 entities entity NNS 39713 6748 22 void void JJ 39713 6748 23 of of IN 39713 6748 24 sense sense NN 39713 6748 25 , , , 39713 6748 26 but but CC 39713 6748 27 circles circle NNS 39713 6748 28 ( ( -LRB- 39713 6748 29 true true JJ 39713 6748 30 circles circle NNS 39713 6748 31 of of IN 39713 6748 32 true true JJ 39713 6748 33 space space NN 39713 6748 34 ) ) -RRB- 39713 6748 35 orthogonal orthogonal JJ 39713 6748 36 to to IN 39713 6748 37 a a DT 39713 6748 38 certain certain JJ 39713 6748 39 sphere sphere NN 39713 6748 40 . . . 39713 6749 1 If if IN 39713 6749 2 , , , 39713 6749 3 among among IN 39713 6749 4 these these DT 39713 6749 5 objects object NNS 39713 6749 6 equally equally RB 39713 6749 7 capable capable JJ 39713 6749 8 of of IN 39713 6749 9 representation representation NN 39713 6749 10 , , , 39713 6749 11 it -PRON- PRP 39713 6749 12 is be VBZ 39713 6749 13 the the DT 39713 6749 14 first first JJ 39713 6749 15 ( ( -LRB- 39713 6749 16 the the DT 39713 6749 17 Euclidean euclidean JJ 39713 6749 18 straights straight NNS 39713 6749 19 ) ) -RRB- 39713 6749 20 which which WDT 39713 6749 21 we -PRON- PRP 39713 6749 22 call call VBP 39713 6749 23 straights straight NNS 39713 6749 24 , , , 39713 6749 25 and and CC 39713 6749 26 not not RB 39713 6749 27 the the DT 39713 6749 28 latter latter JJ 39713 6749 29 ( ( -LRB- 39713 6749 30 the the DT 39713 6749 31 non non JJ 39713 6749 32 - - JJ 39713 6749 33 Euclidean euclidean JJ 39713 6749 34 straights straight NNS 39713 6749 35 ) ) -RRB- 39713 6749 36 , , , 39713 6749 37 this this DT 39713 6749 38 is be VBZ 39713 6749 39 properly properly RB 39713 6749 40 by by IN 39713 6749 41 definition definition NN 39713 6749 42 . . . 39713 6750 1 And and CC 39713 6750 2 arriving arrive VBG 39713 6750 3 finally finally RB 39713 6750 4 at at IN 39713 6750 5 the the DT 39713 6750 6 third third JJ 39713 6750 7 example example NN 39713 6750 8 , , , 39713 6750 9 the the DT 39713 6750 10 definition definition NN 39713 6750 11 of of IN 39713 6750 12 phosphorus phosphorus NN 39713 6750 13 , , , 39713 6750 14 we -PRON- PRP 39713 6750 15 see see VBP 39713 6750 16 the the DT 39713 6750 17 true true JJ 39713 6750 18 definition definition NN 39713 6750 19 would would MD 39713 6750 20 be be VB 39713 6750 21 : : : 39713 6750 22 Phosphorus Phosphorus NNP 39713 6750 23 is be VBZ 39713 6750 24 the the DT 39713 6750 25 bit bit NN 39713 6750 26 of of IN 39713 6750 27 matter matter NN 39713 6750 28 I -PRON- PRP 39713 6750 29 see see VBP 39713 6750 30 in in IN 39713 6750 31 yonder yonder NN 39713 6750 32 flask flask NN 39713 6750 33 . . . 39713 6751 1 XII XII NNP 39713 6751 2 And and CC 39713 6751 3 since since IN 39713 6751 4 I -PRON- PRP 39713 6751 5 am be VBP 39713 6751 6 on on IN 39713 6751 7 this this DT 39713 6751 8 subject subject NN 39713 6751 9 , , , 39713 6751 10 still still RB 39713 6751 11 another another DT 39713 6751 12 word word NN 39713 6751 13 . . . 39713 6752 1 Of of IN 39713 6752 2 the the DT 39713 6752 3 phosphorus phosphorus NN 39713 6752 4 example example NN 39713 6752 5 I -PRON- PRP 39713 6752 6 said say VBD 39713 6752 7 : : : 39713 6752 8 " " `` 39713 6752 9 This this DT 39713 6752 10 proposition proposition NN 39713 6752 11 is be VBZ 39713 6752 12 a a DT 39713 6752 13 real real RB 39713 6752 14 verifiable verifiable JJ 39713 6752 15 physical physical JJ 39713 6752 16 law law NN 39713 6752 17 , , , 39713 6752 18 because because IN 39713 6752 19 it -PRON- PRP 39713 6752 20 means mean VBZ 39713 6752 21 that that IN 39713 6752 22 all all DT 39713 6752 23 bodies body NNS 39713 6752 24 having have VBG 39713 6752 25 all all PDT 39713 6752 26 the the DT 39713 6752 27 other other JJ 39713 6752 28 properties property NNS 39713 6752 29 of of IN 39713 6752 30 phosphorus phosphorus NN 39713 6752 31 , , , 39713 6752 32 save save VB 39713 6752 33 its -PRON- PRP$ 39713 6752 34 point point NN 39713 6752 35 of of IN 39713 6752 36 fusion fusion NN 39713 6752 37 , , , 39713 6752 38 melt melt VBP 39713 6752 39 like like IN 39713 6752 40 it -PRON- PRP 39713 6752 41 at at IN 39713 6752 42 44 44 CD 39713 6752 43 ° ° NNS 39713 6752 44 . . . 39713 6752 45 " " '' 39713 6753 1 And and CC 39713 6753 2 it -PRON- PRP 39713 6753 3 was be VBD 39713 6753 4 answered answer VBN 39713 6753 5 : : : 39713 6753 6 " " `` 39713 6753 7 No no UH 39713 6753 8 , , , 39713 6753 9 this this DT 39713 6753 10 law law NN 39713 6753 11 is be VBZ 39713 6753 12 not not RB 39713 6753 13 verifiable verifiable JJ 39713 6753 14 , , , 39713 6753 15 because because IN 39713 6753 16 if if IN 39713 6753 17 it -PRON- PRP 39713 6753 18 were be VBD 39713 6753 19 shown show VBN 39713 6753 20 that that IN 39713 6753 21 two two CD 39713 6753 22 bodies body NNS 39713 6753 23 resembling resemble VBG 39713 6753 24 phosphorus phosphorus NN 39713 6753 25 melt melt NN 39713 6753 26 one one CD 39713 6753 27 at at IN 39713 6753 28 44 44 CD 39713 6753 29 ° ° NNS 39713 6753 30 and and CC 39713 6753 31 the the DT 39713 6753 32 other other JJ 39713 6753 33 at at IN 39713 6753 34 50 50 CD 39713 6753 35 ° ° NNS 39713 6753 36 , , , 39713 6753 37 it -PRON- PRP 39713 6753 38 might may MD 39713 6753 39 always always RB 39713 6753 40 be be VB 39713 6753 41 said say VBN 39713 6753 42 that that IN 39713 6753 43 doubtless doubtless RB 39713 6753 44 , , , 39713 6753 45 besides besides IN 39713 6753 46 the the DT 39713 6753 47 point point NN 39713 6753 48 of of IN 39713 6753 49 fusion fusion NN 39713 6753 50 , , , 39713 6753 51 there there EX 39713 6753 52 is be VBZ 39713 6753 53 some some DT 39713 6753 54 other other JJ 39713 6753 55 unknown unknown JJ 39713 6753 56 property property NN 39713 6753 57 by by IN 39713 6753 58 which which WDT 39713 6753 59 they -PRON- PRP 39713 6753 60 differ differ VBP 39713 6753 61 . . . 39713 6753 62 " " '' 39713 6754 1 That that DT 39713 6754 2 was be VBD 39713 6754 3 not not RB 39713 6754 4 quite quite RB 39713 6754 5 what what WP 39713 6754 6 I -PRON- PRP 39713 6754 7 meant mean VBD 39713 6754 8 to to TO 39713 6754 9 say say VB 39713 6754 10 . . . 39713 6755 1 I -PRON- PRP 39713 6755 2 should should MD 39713 6755 3 have have VB 39713 6755 4 written write VBN 39713 6755 5 , , , 39713 6755 6 " " '' 39713 6755 7 All all DT 39713 6755 8 bodies body NNS 39713 6755 9 possessing possess VBG 39713 6755 10 such such JJ 39713 6755 11 and and CC 39713 6755 12 such such JJ 39713 6755 13 properties property NNS 39713 6755 14 finite finite VBP 39713 6755 15 in in IN 39713 6755 16 number number NN 39713 6755 17 ( ( -LRB- 39713 6755 18 to to IN 39713 6755 19 wit wit NN 39713 6755 20 , , , 39713 6755 21 the the DT 39713 6755 22 properties property NNS 39713 6755 23 of of IN 39713 6755 24 phosphorus phosphorus NN 39713 6755 25 stated state VBN 39713 6755 26 in in IN 39713 6755 27 the the DT 39713 6755 28 books book NNS 39713 6755 29 on on IN 39713 6755 30 chemistry chemistry NN 39713 6755 31 , , , 39713 6755 32 the the DT 39713 6755 33 fusion fusion NN 39713 6755 34 - - HYPH 39713 6755 35 point point NN 39713 6755 36 excepted except VBN 39713 6755 37 ) ) -RRB- 39713 6755 38 melt melt NN 39713 6755 39 at at IN 39713 6755 40 44 44 CD 39713 6755 41 ° ° NNS 39713 6755 42 . . . 39713 6755 43 " " '' 39713 6756 1 And and CC 39713 6756 2 the the DT 39713 6756 3 better well JJR 39713 6756 4 to to TO 39713 6756 5 make make VB 39713 6756 6 evident evident JJ 39713 6756 7 the the DT 39713 6756 8 difference difference NN 39713 6756 9 between between IN 39713 6756 10 the the DT 39713 6756 11 case case NN 39713 6756 12 of of IN 39713 6756 13 the the DT 39713 6756 14 straight straight NN 39713 6756 15 and and CC 39713 6756 16 that that DT 39713 6756 17 of of IN 39713 6756 18 phosphorus phosphorus NN 39713 6756 19 , , , 39713 6756 20 one one CD 39713 6756 21 more more JJR 39713 6756 22 remark remark NN 39713 6756 23 . . . 39713 6757 1 The the DT 39713 6757 2 straight straight NN 39713 6757 3 has have VBZ 39713 6757 4 in in IN 39713 6757 5 nature nature NN 39713 6757 6 many many JJ 39713 6757 7 images image NNS 39713 6757 8 more more RBR 39713 6757 9 or or CC 39713 6757 10 less less RBR 39713 6757 11 imperfect imperfect JJ 39713 6757 12 , , , 39713 6757 13 of of IN 39713 6757 14 which which WDT 39713 6757 15 the the DT 39713 6757 16 chief chief NN 39713 6757 17 are be VBP 39713 6757 18 the the DT 39713 6757 19 light light JJ 39713 6757 20 rays ray NNS 39713 6757 21 and and CC 39713 6757 22 the the DT 39713 6757 23 rotation rotation NN 39713 6757 24 axis axis RB 39713 6757 25 of of IN 39713 6757 26 the the DT 39713 6757 27 solid solid JJ 39713 6757 28 . . . 39713 6758 1 Suppose suppose VB 39713 6758 2 we -PRON- PRP 39713 6758 3 find find VBP 39713 6758 4 the the DT 39713 6758 5 ray ray NN 39713 6758 6 of of IN 39713 6758 7 light light NN 39713 6758 8 does do VBZ 39713 6758 9 not not RB 39713 6758 10 satisfy satisfy VB 39713 6758 11 Euclid Euclid NNP 39713 6758 12 's 's POS 39713 6758 13 postulate postulate NN 39713 6758 14 ( ( -LRB- 39713 6758 15 for for IN 39713 6758 16 example example NN 39713 6758 17 by by IN 39713 6758 18 showing show VBG 39713 6758 19 that that IN 39713 6758 20 a a DT 39713 6758 21 star star NN 39713 6758 22 has have VBZ 39713 6758 23 a a DT 39713 6758 24 negative negative JJ 39713 6758 25 parallax parallax NN 39713 6758 26 ) ) -RRB- 39713 6758 27 , , , 39713 6758 28 what what WP 39713 6758 29 shall shall MD 39713 6758 30 we -PRON- PRP 39713 6758 31 do do VB 39713 6758 32 ? ? . 39713 6759 1 Shall Shall MD 39713 6759 2 we -PRON- PRP 39713 6759 3 conclude conclude VB 39713 6759 4 that that IN 39713 6759 5 the the DT 39713 6759 6 straight straight JJ 39713 6759 7 being be VBG 39713 6759 8 by by IN 39713 6759 9 definition definition NN 39713 6759 10 the the DT 39713 6759 11 trajectory trajectory NN 39713 6759 12 of of IN 39713 6759 13 light light NN 39713 6759 14 does do VBZ 39713 6759 15 not not RB 39713 6759 16 satisfy satisfy VB 39713 6759 17 the the DT 39713 6759 18 postulate postulate NN 39713 6759 19 , , , 39713 6759 20 or or CC 39713 6759 21 , , , 39713 6759 22 on on IN 39713 6759 23 the the DT 39713 6759 24 other other JJ 39713 6759 25 hand hand NN 39713 6759 26 , , , 39713 6759 27 that that IN 39713 6759 28 the the DT 39713 6759 29 straight straight JJ 39713 6759 30 by by IN 39713 6759 31 definition definition NN 39713 6759 32 satisfying satisfy VBG 39713 6759 33 the the DT 39713 6759 34 postulate postulate NN 39713 6759 35 , , , 39713 6759 36 the the DT 39713 6759 37 ray ray NN 39713 6759 38 of of IN 39713 6759 39 light light NN 39713 6759 40 is be VBZ 39713 6759 41 not not RB 39713 6759 42 straight straight JJ 39713 6759 43 ? ? . 39713 6760 1 Assuredly assuredly RB 39713 6760 2 we -PRON- PRP 39713 6760 3 are be VBP 39713 6760 4 free free JJ 39713 6760 5 to to TO 39713 6760 6 adopt adopt VB 39713 6760 7 the the DT 39713 6760 8 one one NN 39713 6760 9 or or CC 39713 6760 10 the the DT 39713 6760 11 other other JJ 39713 6760 12 definition definition NN 39713 6760 13 and and CC 39713 6760 14 consequently consequently RB 39713 6760 15 the the DT 39713 6760 16 one one CD 39713 6760 17 or or CC 39713 6760 18 the the DT 39713 6760 19 other other JJ 39713 6760 20 conclusion conclusion NN 39713 6760 21 ; ; : 39713 6760 22 but but CC 39713 6760 23 to to TO 39713 6760 24 adopt adopt VB 39713 6760 25 the the DT 39713 6760 26 first first JJ 39713 6760 27 would would MD 39713 6760 28 be be VB 39713 6760 29 stupid stupid JJ 39713 6760 30 , , , 39713 6760 31 because because IN 39713 6760 32 the the DT 39713 6760 33 ray ray NN 39713 6760 34 of of IN 39713 6760 35 light light NN 39713 6760 36 probably probably RB 39713 6760 37 satisfies satisfie NNS 39713 6760 38 only only RB 39713 6760 39 imperfectly imperfectly RB 39713 6760 40 not not RB 39713 6760 41 merely merely RB 39713 6760 42 Euclid Euclid NNP 39713 6760 43 's 's POS 39713 6760 44 postulate postulate NN 39713 6760 45 , , , 39713 6760 46 but but CC 39713 6760 47 the the DT 39713 6760 48 other other JJ 39713 6760 49 properties property NNS 39713 6760 50 of of IN 39713 6760 51 the the DT 39713 6760 52 straight straight JJ 39713 6760 53 line line NN 39713 6760 54 , , , 39713 6760 55 so so IN 39713 6760 56 that that IN 39713 6760 57 if if IN 39713 6760 58 it -PRON- PRP 39713 6760 59 deviates deviate VBZ 39713 6760 60 from from IN 39713 6760 61 the the DT 39713 6760 62 Euclidean euclidean JJ 39713 6760 63 straight straight NN 39713 6760 64 , , , 39713 6760 65 it -PRON- PRP 39713 6760 66 deviates deviate VBZ 39713 6760 67 no no DT 39713 6760 68 less less JJR 39713 6760 69 from from IN 39713 6760 70 the the DT 39713 6760 71 rotation rotation NN 39713 6760 72 axis axis RB 39713 6760 73 of of IN 39713 6760 74 solids solid NNS 39713 6760 75 which which WDT 39713 6760 76 is be VBZ 39713 6760 77 another another DT 39713 6760 78 imperfect imperfect JJ 39713 6760 79 image image NN 39713 6760 80 of of IN 39713 6760 81 the the DT 39713 6760 82 straight straight JJ 39713 6760 83 line line NN 39713 6760 84 ; ; : 39713 6760 85 while while IN 39713 6760 86 finally finally RB 39713 6760 87 it -PRON- PRP 39713 6760 88 is be VBZ 39713 6760 89 doubtless doubtless RB 39713 6760 90 subject subject JJ 39713 6760 91 to to IN 39713 6760 92 change change NN 39713 6760 93 , , , 39713 6760 94 so so IN 39713 6760 95 that that IN 39713 6760 96 such such PDT 39713 6760 97 a a DT 39713 6760 98 line line NN 39713 6760 99 which which WDT 39713 6760 100 yesterday yesterday NN 39713 6760 101 was be VBD 39713 6760 102 straight straight RB 39713 6760 103 will will MD 39713 6760 104 cease cease VB 39713 6760 105 to to TO 39713 6760 106 be be VB 39713 6760 107 straight straight JJ 39713 6760 108 to to IN 39713 6760 109 - - HYPH 39713 6760 110 morrow morrow VB 39713 6760 111 if if IN 39713 6760 112 some some DT 39713 6760 113 physical physical JJ 39713 6760 114 circumstance circumstance NN 39713 6760 115 has have VBZ 39713 6760 116 changed change VBN 39713 6760 117 . . . 39713 6761 1 Suppose suppose VB 39713 6761 2 now now RB 39713 6761 3 we -PRON- PRP 39713 6761 4 find find VBP 39713 6761 5 that that DT 39713 6761 6 phosphorus phosphorus NN 39713 6761 7 does do VBZ 39713 6761 8 not not RB 39713 6761 9 melt melt VB 39713 6761 10 at at IN 39713 6761 11 44 44 CD 39713 6761 12 ° ° NNS 39713 6761 13 , , , 39713 6761 14 but but CC 39713 6761 15 at at IN 39713 6761 16 43.9 43.9 CD 39713 6761 17 ° ° NNS 39713 6761 18 . . . 39713 6762 1 Shall Shall MD 39713 6762 2 we -PRON- PRP 39713 6762 3 conclude conclude VB 39713 6762 4 that that DT 39713 6762 5 phosphorus phosphorus NN 39713 6762 6 being be VBG 39713 6762 7 by by IN 39713 6762 8 definition definition NN 39713 6762 9 that that IN 39713 6762 10 which which WDT 39713 6762 11 melts melt VBZ 39713 6762 12 at at IN 39713 6762 13 44 44 CD 39713 6762 14 ° ° NNS 39713 6762 15 , , , 39713 6762 16 this this DT 39713 6762 17 body body NN 39713 6762 18 that that WDT 39713 6762 19 we -PRON- PRP 39713 6762 20 did do VBD 39713 6762 21 call call VB 39713 6762 22 phosphorus phosphorus NN 39713 6762 23 is be VBZ 39713 6762 24 not not RB 39713 6762 25 true true JJ 39713 6762 26 phosphorus phosphorus NN 39713 6762 27 , , , 39713 6762 28 or or CC 39713 6762 29 , , , 39713 6762 30 on on IN 39713 6762 31 the the DT 39713 6762 32 other other JJ 39713 6762 33 hand hand NN 39713 6762 34 , , , 39713 6762 35 that that IN 39713 6762 36 phosphorous phosphorous JJ 39713 6762 37 melts melt NNS 39713 6762 38 at at IN 39713 6762 39 43.9 43.9 CD 39713 6762 40 ° ° NNS 39713 6762 41 ? ? . 39713 6763 1 Here here RB 39713 6763 2 again again RB 39713 6763 3 we -PRON- PRP 39713 6763 4 are be VBP 39713 6763 5 free free JJ 39713 6763 6 to to TO 39713 6763 7 adopt adopt VB 39713 6763 8 the the DT 39713 6763 9 one one NN 39713 6763 10 or or CC 39713 6763 11 the the DT 39713 6763 12 other other JJ 39713 6763 13 definition definition NN 39713 6763 14 and and CC 39713 6763 15 consequently consequently RB 39713 6763 16 the the DT 39713 6763 17 one one CD 39713 6763 18 or or CC 39713 6763 19 the the DT 39713 6763 20 other other JJ 39713 6763 21 conclusion conclusion NN 39713 6763 22 ; ; : 39713 6763 23 but but CC 39713 6763 24 to to TO 39713 6763 25 adopt adopt VB 39713 6763 26 the the DT 39713 6763 27 first first JJ 39713 6763 28 would would MD 39713 6763 29 be be VB 39713 6763 30 stupid stupid JJ 39713 6763 31 because because IN 39713 6763 32 we -PRON- PRP 39713 6763 33 can can MD 39713 6763 34 not not RB 39713 6763 35 be be VB 39713 6763 36 changing change VBG 39713 6763 37 the the DT 39713 6763 38 name name NN 39713 6763 39 of of IN 39713 6763 40 a a DT 39713 6763 41 substance substance NN 39713 6763 42 every every DT 39713 6763 43 time time NN 39713 6763 44 we -PRON- PRP 39713 6763 45 determine determine VBP 39713 6763 46 a a DT 39713 6763 47 new new JJ 39713 6763 48 decimal decimal NN 39713 6763 49 of of IN 39713 6763 50 its -PRON- PRP$ 39713 6763 51 fusion fusion NN 39713 6763 52 - - HYPH 39713 6763 53 point point NN 39713 6763 54 . . . 39713 6764 1 XIII xiii NN 39713 6764 2 To to TO 39713 6764 3 sum sum VB 39713 6764 4 up up RP 39713 6764 5 , , , 39713 6764 6 Russell Russell NNP 39713 6764 7 and and CC 39713 6764 8 Hilbert Hilbert NNP 39713 6764 9 have have VBP 39713 6764 10 each each DT 39713 6764 11 made make VBN 39713 6764 12 a a DT 39713 6764 13 vigorous vigorous JJ 39713 6764 14 effort effort NN 39713 6764 15 ; ; : 39713 6764 16 they -PRON- PRP 39713 6764 17 have have VBP 39713 6764 18 each each DT 39713 6764 19 written write VBN 39713 6764 20 a a DT 39713 6764 21 work work NN 39713 6764 22 full full JJ 39713 6764 23 of of IN 39713 6764 24 original original JJ 39713 6764 25 views view NNS 39713 6764 26 , , , 39713 6764 27 profound profound JJ 39713 6764 28 and and CC 39713 6764 29 often often RB 39713 6764 30 well well RB 39713 6764 31 warranted warrant VBN 39713 6764 32 . . . 39713 6765 1 These these DT 39713 6765 2 two two CD 39713 6765 3 works work NNS 39713 6765 4 give give VBP 39713 6765 5 us -PRON- PRP 39713 6765 6 much much JJ 39713 6765 7 to to TO 39713 6765 8 think think VB 39713 6765 9 about about IN 39713 6765 10 and and CC 39713 6765 11 we -PRON- PRP 39713 6765 12 have have VBP 39713 6765 13 much much JJ 39713 6765 14 to to TO 39713 6765 15 learn learn VB 39713 6765 16 from from IN 39713 6765 17 them -PRON- PRP 39713 6765 18 . . . 39713 6766 1 Among among IN 39713 6766 2 their -PRON- PRP$ 39713 6766 3 results result NNS 39713 6766 4 , , , 39713 6766 5 some some DT 39713 6766 6 , , , 39713 6766 7 many many JJ 39713 6766 8 even even RB 39713 6766 9 , , , 39713 6766 10 are be VBP 39713 6766 11 solid solid JJ 39713 6766 12 and and CC 39713 6766 13 destined destine VBN 39713 6766 14 to to TO 39713 6766 15 live live VB 39713 6766 16 . . . 39713 6767 1 But but CC 39713 6767 2 to to TO 39713 6767 3 say say VB 39713 6767 4 that that IN 39713 6767 5 they -PRON- PRP 39713 6767 6 have have VBP 39713 6767 7 finally finally RB 39713 6767 8 settled settle VBN 39713 6767 9 the the DT 39713 6767 10 debate debate NN 39713 6767 11 between between IN 39713 6767 12 Kant Kant NNP 39713 6767 13 and and CC 39713 6767 14 Leibnitz Leibnitz NNP 39713 6767 15 and and CC 39713 6767 16 ruined ruin VBD 39713 6767 17 the the DT 39713 6767 18 Kantian kantian JJ 39713 6767 19 theory theory NN 39713 6767 20 of of IN 39713 6767 21 mathematics mathematic NNS 39713 6767 22 is be VBZ 39713 6767 23 evidently evidently RB 39713 6767 24 incorrect incorrect JJ 39713 6767 25 . . . 39713 6768 1 I -PRON- PRP 39713 6768 2 do do VBP 39713 6768 3 not not RB 39713 6768 4 know know VB 39713 6768 5 whether whether IN 39713 6768 6 they -PRON- PRP 39713 6768 7 really really RB 39713 6768 8 believed believe VBD 39713 6768 9 they -PRON- PRP 39713 6768 10 had have VBD 39713 6768 11 done do VBN 39713 6768 12 it -PRON- PRP 39713 6768 13 , , , 39713 6768 14 but but CC 39713 6768 15 if if IN 39713 6768 16 they -PRON- PRP 39713 6768 17 believed believe VBD 39713 6768 18 so so RB 39713 6768 19 , , , 39713 6768 20 they -PRON- PRP 39713 6768 21 deceived deceive VBD 39713 6768 22 themselves -PRON- PRP 39713 6768 23 . . . 39713 6769 1 CHAPTER chapter NN 39713 6769 2 V V NNP 39713 6769 3 THE the DT 39713 6769 4 LATEST latest NN 39713 6769 5 EFFORTS effort NNS 39713 6769 6 OF of IN 39713 6769 7 THE the DT 39713 6769 8 LOGISTICIANS LOGISTICIANS NNP 39713 6769 9 I -PRON- PRP 39713 6769 10 The the DT 39713 6769 11 logicians logician NNS 39713 6769 12 have have VBP 39713 6769 13 attempted attempt VBN 39713 6769 14 to to TO 39713 6769 15 answer answer VB 39713 6769 16 the the DT 39713 6769 17 preceding precede VBG 39713 6769 18 considerations consideration NNS 39713 6769 19 . . . 39713 6770 1 For for IN 39713 6770 2 that that DT 39713 6770 3 , , , 39713 6770 4 a a DT 39713 6770 5 transformation transformation NN 39713 6770 6 of of IN 39713 6770 7 logistic logistic JJ 39713 6770 8 was be VBD 39713 6770 9 necessary necessary JJ 39713 6770 10 , , , 39713 6770 11 and and CC 39713 6770 12 Russell Russell NNP 39713 6770 13 in in IN 39713 6770 14 particular particular JJ 39713 6770 15 has have VBZ 39713 6770 16 modified modify VBN 39713 6770 17 on on IN 39713 6770 18 certain certain JJ 39713 6770 19 points point NNS 39713 6770 20 his -PRON- PRP$ 39713 6770 21 original original JJ 39713 6770 22 views view NNS 39713 6770 23 . . . 39713 6771 1 Without without IN 39713 6771 2 entering enter VBG 39713 6771 3 into into IN 39713 6771 4 the the DT 39713 6771 5 details detail NNS 39713 6771 6 of of IN 39713 6771 7 the the DT 39713 6771 8 debate debate NN 39713 6771 9 , , , 39713 6771 10 I -PRON- PRP 39713 6771 11 should should MD 39713 6771 12 like like VB 39713 6771 13 to to TO 39713 6771 14 return return VB 39713 6771 15 to to IN 39713 6771 16 the the DT 39713 6771 17 two two CD 39713 6771 18 questions question NNS 39713 6771 19 to to IN 39713 6771 20 my -PRON- PRP$ 39713 6771 21 mind mind NN 39713 6771 22 most most RBS 39713 6771 23 important important JJ 39713 6771 24 : : : 39713 6771 25 Have have VB 39713 6771 26 the the DT 39713 6771 27 rules rule NNS 39713 6771 28 of of IN 39713 6771 29 logistic logistic NNP 39713 6771 30 demonstrated demonstrate VBD 39713 6771 31 their -PRON- PRP$ 39713 6771 32 fruitfulness fruitfulness NN 39713 6771 33 and and CC 39713 6771 34 infallibility infallibility NN 39713 6771 35 ? ? . 39713 6772 1 Is be VBZ 39713 6772 2 it -PRON- PRP 39713 6772 3 true true JJ 39713 6772 4 they -PRON- PRP 39713 6772 5 afford afford VBP 39713 6772 6 means mean NNS 39713 6772 7 of of IN 39713 6772 8 proving prove VBG 39713 6772 9 the the DT 39713 6772 10 principle principle NN 39713 6772 11 of of IN 39713 6772 12 complete complete JJ 39713 6772 13 induction induction NN 39713 6772 14 without without IN 39713 6772 15 any any DT 39713 6772 16 appeal appeal NN 39713 6772 17 to to IN 39713 6772 18 intuition intuition NN 39713 6772 19 ? ? . 39713 6773 1 II II NNP 39713 6773 2 _ _ NNP 39713 6773 3 The the DT 39713 6773 4 Infallibility Infallibility NNP 39713 6773 5 of of IN 39713 6773 6 Logistic Logistic NNP 39713 6773 7 _ _ NNP 39713 6773 8 On on IN 39713 6773 9 the the DT 39713 6773 10 question question NN 39713 6773 11 of of IN 39713 6773 12 fertility fertility NN 39713 6773 13 , , , 39713 6773 14 it -PRON- PRP 39713 6773 15 seems seem VBZ 39713 6773 16 M. M. NNP 39713 6773 17 Couturat Couturat NNP 39713 6773 18 has have VBZ 39713 6773 19 naïve naïve JJ 39713 6773 20 illusions illusion NNS 39713 6773 21 . . . 39713 6774 1 Logistic Logistic NNP 39713 6774 2 , , , 39713 6774 3 according accord VBG 39713 6774 4 to to IN 39713 6774 5 him -PRON- PRP 39713 6774 6 , , , 39713 6774 7 lends lend VBZ 39713 6774 8 invention invention NN 39713 6774 9 ' ' '' 39713 6774 10 stilts stilt NNS 39713 6774 11 and and CC 39713 6774 12 wings wing NNS 39713 6774 13 , , , 39713 6774 14 ' ' '' 39713 6774 15 and and CC 39713 6774 16 on on IN 39713 6774 17 the the DT 39713 6774 18 next next JJ 39713 6774 19 page page NN 39713 6774 20 : : : 39713 6774 21 " " `` 39713 6774 22 _ _ NNP 39713 6774 23 Ten ten CD 39713 6774 24 years year NNS 39713 6774 25 ago ago RB 39713 6774 26 _ _ NNP 39713 6774 27 , , , 39713 6774 28 Peano Peano NNP 39713 6774 29 published publish VBD 39713 6774 30 the the DT 39713 6774 31 first first JJ 39713 6774 32 edition edition NN 39713 6774 33 of of IN 39713 6774 34 his -PRON- PRP$ 39713 6774 35 _ _ NNP 39713 6774 36 Formulaire Formulaire NNP 39713 6774 37 _ _ NNP 39713 6774 38 . . . 39713 6774 39 " " '' 39713 6775 1 How how WRB 39713 6775 2 is be VBZ 39713 6775 3 that that IN 39713 6775 4 , , , 39713 6775 5 ten ten CD 39713 6775 6 years year NNS 39713 6775 7 of of IN 39713 6775 8 wings wing NNS 39713 6775 9 and and CC 39713 6775 10 not not RB 39713 6775 11 to to TO 39713 6775 12 have have VB 39713 6775 13 flown fly VBN 39713 6775 14 ! ! . 39713 6776 1 I -PRON- PRP 39713 6776 2 have have VBP 39713 6776 3 the the DT 39713 6776 4 highest high JJS 39713 6776 5 esteem esteem NN 39713 6776 6 for for IN 39713 6776 7 Peano Peano NNP 39713 6776 8 , , , 39713 6776 9 who who WP 39713 6776 10 has have VBZ 39713 6776 11 done do VBN 39713 6776 12 very very RB 39713 6776 13 pretty pretty JJ 39713 6776 14 things thing NNS 39713 6776 15 ( ( -LRB- 39713 6776 16 for for IN 39713 6776 17 instance instance NN 39713 6776 18 his -PRON- PRP$ 39713 6776 19 ' ' `` 39713 6776 20 space space NN 39713 6776 21 - - HYPH 39713 6776 22 filling fill VBG 39713 6776 23 curve curve NN 39713 6776 24 , , , 39713 6776 25 ' ' '' 39713 6776 26 a a DT 39713 6776 27 phrase phrase NN 39713 6776 28 now now RB 39713 6776 29 discarded discard VBN 39713 6776 30 ) ) -RRB- 39713 6776 31 ; ; : 39713 6776 32 but but CC 39713 6776 33 after after IN 39713 6776 34 all all RB 39713 6776 35 he -PRON- PRP 39713 6776 36 has have VBZ 39713 6776 37 not not RB 39713 6776 38 gone go VBN 39713 6776 39 further further RB 39713 6776 40 nor nor CC 39713 6776 41 higher high JJR 39713 6776 42 nor nor CC 39713 6776 43 quicker quick JJR 39713 6776 44 than than IN 39713 6776 45 the the DT 39713 6776 46 majority majority NN 39713 6776 47 of of IN 39713 6776 48 wingless wingless NN 39713 6776 49 mathematicians mathematician NNS 39713 6776 50 , , , 39713 6776 51 and and CC 39713 6776 52 would would MD 39713 6776 53 have have VB 39713 6776 54 done do VBN 39713 6776 55 just just RB 39713 6776 56 as as RB 39713 6776 57 well well RB 39713 6776 58 with with IN 39713 6776 59 his -PRON- PRP$ 39713 6776 60 legs leg NNS 39713 6776 61 . . . 39713 6777 1 On on IN 39713 6777 2 the the DT 39713 6777 3 contrary contrary NN 39713 6777 4 I -PRON- PRP 39713 6777 5 see see VBP 39713 6777 6 in in IN 39713 6777 7 logistic logistic JJ 39713 6777 8 only only JJ 39713 6777 9 shackles shackle NNS 39713 6777 10 for for IN 39713 6777 11 the the DT 39713 6777 12 inventor inventor NN 39713 6777 13 . . . 39713 6778 1 It -PRON- PRP 39713 6778 2 is be VBZ 39713 6778 3 no no DT 39713 6778 4 aid aid NN 39713 6778 5 to to IN 39713 6778 6 conciseness conciseness NN 39713 6778 7 -- -- : 39713 6778 8 far far RB 39713 6778 9 from from IN 39713 6778 10 it -PRON- PRP 39713 6778 11 , , , 39713 6778 12 and and CC 39713 6778 13 if if IN 39713 6778 14 twenty twenty CD 39713 6778 15 - - HYPH 39713 6778 16 seven seven CD 39713 6778 17 equations equation NNS 39713 6778 18 were be VBD 39713 6778 19 necessary necessary JJ 39713 6778 20 to to TO 39713 6778 21 establish establish VB 39713 6778 22 that that IN 39713 6778 23 1 1 CD 39713 6778 24 is be VBZ 39713 6778 25 a a DT 39713 6778 26 number number NN 39713 6778 27 , , , 39713 6778 28 how how WRB 39713 6778 29 many many JJ 39713 6778 30 would would MD 39713 6778 31 be be VB 39713 6778 32 needed need VBN 39713 6778 33 to to TO 39713 6778 34 prove prove VB 39713 6778 35 a a DT 39713 6778 36 real real JJ 39713 6778 37 theorem theorem NN 39713 6778 38 ? ? . 39713 6779 1 If if IN 39713 6779 2 we -PRON- PRP 39713 6779 3 distinguish distinguish VBP 39713 6779 4 , , , 39713 6779 5 with with IN 39713 6779 6 Whitehead Whitehead NNP 39713 6779 7 , , , 39713 6779 8 the the DT 39713 6779 9 individual individual NN 39713 6779 10 _ _ NNP 39713 6779 11 x x NNP 39713 6779 12 _ _ NNP 39713 6779 13 , , , 39713 6779 14 the the DT 39713 6779 15 class class NN 39713 6779 16 of of IN 39713 6779 17 which which WDT 39713 6779 18 the the DT 39713 6779 19 only only JJ 39713 6779 20 member member NN 39713 6779 21 is be VBZ 39713 6779 22 _ _ NNP 39713 6779 23 x x NNP 39713 6779 24 _ _ NNP 39713 6779 25 and and CC 39713 6779 26 which which WDT 39713 6779 27 shall shall MD 39713 6779 28 be be VB 39713 6779 29 called call VBN 39713 6779 30 [ [ -LRB- 39713 6779 31 iota]_x iota]_x NNP 39713 6779 32 _ _ NNP 39713 6779 33 , , , 39713 6779 34 then then RB 39713 6779 35 the the DT 39713 6779 36 class class NN 39713 6779 37 of of IN 39713 6779 38 which which WDT 39713 6779 39 the the DT 39713 6779 40 only only JJ 39713 6779 41 member member NN 39713 6779 42 is be VBZ 39713 6779 43 the the DT 39713 6779 44 class class NN 39713 6779 45 of of IN 39713 6779 46 which which WDT 39713 6779 47 the the DT 39713 6779 48 only only JJ 39713 6779 49 member member NN 39713 6779 50 is be VBZ 39713 6779 51 _ _ NNP 39713 6779 52 x x NNP 39713 6779 53 _ _ NNP 39713 6779 54 and and CC 39713 6779 55 which which WDT 39713 6779 56 shall shall MD 39713 6779 57 be be VB 39713 6779 58 called call VBN 39713 6779 59 [ [ -LRB- 39713 6779 60 mu]_x mu]_x NNP 39713 6779 61 _ _ NNP 39713 6779 62 , , , 39713 6779 63 do do VBP 39713 6779 64 you -PRON- PRP 39713 6779 65 think think VB 39713 6779 66 these these DT 39713 6779 67 distinctions distinction NNS 39713 6779 68 , , , 39713 6779 69 useful useful JJ 39713 6779 70 as as IN 39713 6779 71 they -PRON- PRP 39713 6779 72 may may MD 39713 6779 73 be be VB 39713 6779 74 , , , 39713 6779 75 go go VB 39713 6779 76 far far RB 39713 6779 77 to to TO 39713 6779 78 quicken quicken VB 39713 6779 79 our -PRON- PRP$ 39713 6779 80 pace pace NN 39713 6779 81 ? ? . 39713 6780 1 Logistic logistic JJ 39713 6780 2 forces force VBZ 39713 6780 3 us -PRON- PRP 39713 6780 4 to to TO 39713 6780 5 say say VB 39713 6780 6 all all DT 39713 6780 7 that that WDT 39713 6780 8 is be VBZ 39713 6780 9 ordinarily ordinarily RB 39713 6780 10 left leave VBN 39713 6780 11 to to TO 39713 6780 12 be be VB 39713 6780 13 understood understand VBN 39713 6780 14 ; ; : 39713 6780 15 it -PRON- PRP 39713 6780 16 makes make VBZ 39713 6780 17 us -PRON- PRP 39713 6780 18 advance advance VB 39713 6780 19 step step NN 39713 6780 20 by by IN 39713 6780 21 step step NN 39713 6780 22 ; ; : 39713 6780 23 this this DT 39713 6780 24 is be VBZ 39713 6780 25 perhaps perhaps RB 39713 6780 26 surer sure JJR 39713 6780 27 but but CC 39713 6780 28 not not RB 39713 6780 29 quicker quick JJR 39713 6780 30 . . . 39713 6781 1 It -PRON- PRP 39713 6781 2 is be VBZ 39713 6781 3 not not RB 39713 6781 4 wings wing NNS 39713 6781 5 you -PRON- PRP 39713 6781 6 logisticians logistician NNS 39713 6781 7 give give VBP 39713 6781 8 us -PRON- PRP 39713 6781 9 , , , 39713 6781 10 but but CC 39713 6781 11 leading leading NN 39713 6781 12 - - HYPH 39713 6781 13 strings string NNS 39713 6781 14 . . . 39713 6782 1 And and CC 39713 6782 2 then then RB 39713 6782 3 we -PRON- PRP 39713 6782 4 have have VBP 39713 6782 5 the the DT 39713 6782 6 right right NN 39713 6782 7 to to TO 39713 6782 8 require require VB 39713 6782 9 that that IN 39713 6782 10 these these DT 39713 6782 11 leading lead VBG 39713 6782 12 - - HYPH 39713 6782 13 strings string NNS 39713 6782 14 prevent prevent VB 39713 6782 15 our -PRON- PRP$ 39713 6782 16 falling falling NN 39713 6782 17 . . . 39713 6783 1 This this DT 39713 6783 2 will will MD 39713 6783 3 be be VB 39713 6783 4 their -PRON- PRP$ 39713 6783 5 only only JJ 39713 6783 6 excuse excuse NN 39713 6783 7 . . . 39713 6784 1 When when WRB 39713 6784 2 a a DT 39713 6784 3 bond bond NN 39713 6784 4 does do VBZ 39713 6784 5 not not RB 39713 6784 6 bear bear VB 39713 6784 7 much much JJ 39713 6784 8 interest interest NN 39713 6784 9 , , , 39713 6784 10 it -PRON- PRP 39713 6784 11 should should MD 39713 6784 12 at at IN 39713 6784 13 least least JJS 39713 6784 14 be be VB 39713 6784 15 an an DT 39713 6784 16 investment investment NN 39713 6784 17 for for IN 39713 6784 18 a a DT 39713 6784 19 father father NN 39713 6784 20 of of IN 39713 6784 21 a a DT 39713 6784 22 family family NN 39713 6784 23 . . . 39713 6785 1 Should Should MD 39713 6785 2 your -PRON- PRP$ 39713 6785 3 rules rule NNS 39713 6785 4 be be VB 39713 6785 5 followed follow VBN 39713 6785 6 blindly blindly RB 39713 6785 7 ? ? . 39713 6786 1 Yes yes UH 39713 6786 2 , , , 39713 6786 3 else else RB 39713 6786 4 only only RB 39713 6786 5 intuition intuition NN 39713 6786 6 could could MD 39713 6786 7 enable enable VB 39713 6786 8 us -PRON- PRP 39713 6786 9 to to TO 39713 6786 10 distinguish distinguish VB 39713 6786 11 among among IN 39713 6786 12 them -PRON- PRP 39713 6786 13 ; ; : 39713 6786 14 but but CC 39713 6786 15 then then RB 39713 6786 16 they -PRON- PRP 39713 6786 17 must must MD 39713 6786 18 be be VB 39713 6786 19 infallible infallible JJ 39713 6786 20 ; ; : 39713 6786 21 for for IN 39713 6786 22 only only RB 39713 6786 23 in in IN 39713 6786 24 an an DT 39713 6786 25 infallible infallible JJ 39713 6786 26 authority authority NN 39713 6786 27 can can MD 39713 6786 28 one one PRP 39713 6786 29 have have VB 39713 6786 30 a a DT 39713 6786 31 blind blind JJ 39713 6786 32 confidence confidence NN 39713 6786 33 . . . 39713 6787 1 This this DT 39713 6787 2 , , , 39713 6787 3 therefore therefore RB 39713 6787 4 , , , 39713 6787 5 is be VBZ 39713 6787 6 for for IN 39713 6787 7 you -PRON- PRP 39713 6787 8 a a DT 39713 6787 9 necessity necessity NN 39713 6787 10 . . . 39713 6788 1 Infallible infallible JJ 39713 6788 2 you -PRON- PRP 39713 6788 3 shall shall MD 39713 6788 4 be be VB 39713 6788 5 , , , 39713 6788 6 or or CC 39713 6788 7 not not RB 39713 6788 8 at at RB 39713 6788 9 all all RB 39713 6788 10 . . . 39713 6789 1 You -PRON- PRP 39713 6789 2 have have VBP 39713 6789 3 no no DT 39713 6789 4 right right NN 39713 6789 5 to to TO 39713 6789 6 say say VB 39713 6789 7 to to IN 39713 6789 8 us -PRON- PRP 39713 6789 9 : : : 39713 6789 10 " " `` 39713 6789 11 It -PRON- PRP 39713 6789 12 is be VBZ 39713 6789 13 true true JJ 39713 6789 14 we -PRON- PRP 39713 6789 15 make make VBP 39713 6789 16 mistakes mistake NNS 39713 6789 17 , , , 39713 6789 18 but but CC 39713 6789 19 so so RB 39713 6789 20 do do VBP 39713 6789 21 you -PRON- PRP 39713 6789 22 . . . 39713 6789 23 " " '' 39713 6790 1 For for IN 39713 6790 2 us -PRON- PRP 39713 6790 3 to to TO 39713 6790 4 blunder blunder VB 39713 6790 5 is be VBZ 39713 6790 6 a a DT 39713 6790 7 misfortune misfortune NN 39713 6790 8 , , , 39713 6790 9 a a DT 39713 6790 10 very very RB 39713 6790 11 great great JJ 39713 6790 12 misfortune misfortune NN 39713 6790 13 ; ; : 39713 6790 14 for for IN 39713 6790 15 you -PRON- PRP 39713 6790 16 it -PRON- PRP 39713 6790 17 is be VBZ 39713 6790 18 death death NN 39713 6790 19 . . . 39713 6791 1 Nor nor CC 39713 6791 2 may may MD 39713 6791 3 you -PRON- PRP 39713 6791 4 ask ask VB 39713 6791 5 : : : 39713 6791 6 Does do VBZ 39713 6791 7 the the DT 39713 6791 8 infallibility infallibility NN 39713 6791 9 of of IN 39713 6791 10 arithmetic arithmetic JJ 39713 6791 11 prevent prevent NN 39713 6791 12 errors error NNS 39713 6791 13 in in IN 39713 6791 14 addition addition NN 39713 6791 15 ? ? . 39713 6792 1 The the DT 39713 6792 2 rules rule NNS 39713 6792 3 of of IN 39713 6792 4 calculation calculation NN 39713 6792 5 are be VBP 39713 6792 6 infallible infallible JJ 39713 6792 7 , , , 39713 6792 8 and and CC 39713 6792 9 yet yet RB 39713 6792 10 we -PRON- PRP 39713 6792 11 see see VBP 39713 6792 12 those those DT 39713 6792 13 blunder blunder NN 39713 6792 14 _ _ NNP 39713 6792 15 who who WP 39713 6792 16 do do VBP 39713 6792 17 not not RB 39713 6792 18 apply apply VB 39713 6792 19 these these DT 39713 6792 20 rules rule NNS 39713 6792 21 _ _ XX 39713 6792 22 ; ; : 39713 6792 23 but but CC 39713 6792 24 in in IN 39713 6792 25 checking check VBG 39713 6792 26 their -PRON- PRP$ 39713 6792 27 calculation calculation NN 39713 6792 28 it -PRON- PRP 39713 6792 29 is be VBZ 39713 6792 30 at at IN 39713 6792 31 once once RB 39713 6792 32 seen see VBN 39713 6792 33 where where WRB 39713 6792 34 they -PRON- PRP 39713 6792 35 went go VBD 39713 6792 36 wrong wrong RB 39713 6792 37 . . . 39713 6793 1 Here here RB 39713 6793 2 it -PRON- PRP 39713 6793 3 is be VBZ 39713 6793 4 not not RB 39713 6793 5 at at RB 39713 6793 6 all all RB 39713 6793 7 the the DT 39713 6793 8 case case NN 39713 6793 9 ; ; : 39713 6793 10 the the DT 39713 6793 11 logicians logicians NNPS 39713 6793 12 _ _ NNP 39713 6793 13 have have VBP 39713 6793 14 applied apply VBN 39713 6793 15 _ _ NNP 39713 6793 16 their -PRON- PRP$ 39713 6793 17 rules rule NNS 39713 6793 18 , , , 39713 6793 19 and and CC 39713 6793 20 they -PRON- PRP 39713 6793 21 have have VBP 39713 6793 22 fallen fall VBN 39713 6793 23 into into IN 39713 6793 24 contradiction contradiction NN 39713 6793 25 ; ; : 39713 6793 26 and and CC 39713 6793 27 so so RB 39713 6793 28 true true JJ 39713 6793 29 is be VBZ 39713 6793 30 this this DT 39713 6793 31 , , , 39713 6793 32 that that IN 39713 6793 33 they -PRON- PRP 39713 6793 34 are be VBP 39713 6793 35 preparing prepare VBG 39713 6793 36 to to TO 39713 6793 37 change change VB 39713 6793 38 these these DT 39713 6793 39 rules rule NNS 39713 6793 40 and and CC 39713 6793 41 to to TO 39713 6793 42 " " `` 39713 6793 43 sacrifice sacrifice VB 39713 6793 44 the the DT 39713 6793 45 notion notion NN 39713 6793 46 of of IN 39713 6793 47 class class NN 39713 6793 48 . . . 39713 6793 49 " " '' 39713 6794 1 Why why WRB 39713 6794 2 change change VB 39713 6794 3 them -PRON- PRP 39713 6794 4 if if IN 39713 6794 5 they -PRON- PRP 39713 6794 6 were be VBD 39713 6794 7 infallible infallible JJ 39713 6794 8 ? ? . 39713 6795 1 " " `` 39713 6795 2 We -PRON- PRP 39713 6795 3 are be VBP 39713 6795 4 not not RB 39713 6795 5 obliged oblige VBN 39713 6795 6 , , , 39713 6795 7 " " '' 39713 6795 8 you -PRON- PRP 39713 6795 9 say say VBP 39713 6795 10 , , , 39713 6795 11 " " '' 39713 6795 12 to to TO 39713 6795 13 solve solve VB 39713 6795 14 _ _ NNP 39713 6795 15 hic hic JJ 39713 6795 16 et et NN 39713 6795 17 nunc nunc JJ 39713 6795 18 _ _ NNP 39713 6795 19 all all DT 39713 6795 20 possible possible JJ 39713 6795 21 problems problem NNS 39713 6795 22 . . . 39713 6795 23 " " '' 39713 6796 1 Oh oh UH 39713 6796 2 , , , 39713 6796 3 we -PRON- PRP 39713 6796 4 do do VBP 39713 6796 5 not not RB 39713 6796 6 ask ask VB 39713 6796 7 so so RB 39713 6796 8 much much JJ 39713 6796 9 of of IN 39713 6796 10 you -PRON- PRP 39713 6796 11 . . . 39713 6797 1 If if IN 39713 6797 2 , , , 39713 6797 3 in in IN 39713 6797 4 face face NN 39713 6797 5 of of IN 39713 6797 6 a a DT 39713 6797 7 problem problem NN 39713 6797 8 , , , 39713 6797 9 you -PRON- PRP 39713 6797 10 would would MD 39713 6797 11 give give VB 39713 6797 12 _ _ NNP 39713 6797 13 no no DT 39713 6797 14 _ _ NNP 39713 6797 15 solution solution NN 39713 6797 16 , , , 39713 6797 17 we -PRON- PRP 39713 6797 18 should should MD 39713 6797 19 have have VB 39713 6797 20 nothing nothing NN 39713 6797 21 to to TO 39713 6797 22 say say VB 39713 6797 23 ; ; : 39713 6797 24 but but CC 39713 6797 25 on on IN 39713 6797 26 the the DT 39713 6797 27 contrary contrary NN 39713 6797 28 you -PRON- PRP 39713 6797 29 give give VBP 39713 6797 30 us -PRON- PRP 39713 6797 31 _ _ NNP 39713 6797 32 two two CD 39713 6797 33 _ _ NNP 39713 6797 34 of of IN 39713 6797 35 them -PRON- PRP 39713 6797 36 and and CC 39713 6797 37 those those DT 39713 6797 38 contradictory contradictory JJ 39713 6797 39 , , , 39713 6797 40 and and CC 39713 6797 41 consequently consequently RB 39713 6797 42 at at IN 39713 6797 43 least least RBS 39713 6797 44 one one CD 39713 6797 45 false false JJ 39713 6797 46 ; ; : 39713 6797 47 this this DT 39713 6797 48 it -PRON- PRP 39713 6797 49 is be VBZ 39713 6797 50 which which WDT 39713 6797 51 is be VBZ 39713 6797 52 failure failure NN 39713 6797 53 . . . 39713 6798 1 Russell Russell NNP 39713 6798 2 seeks seek VBZ 39713 6798 3 to to TO 39713 6798 4 reconcile reconcile VB 39713 6798 5 these these DT 39713 6798 6 contradictions contradiction NNS 39713 6798 7 , , , 39713 6798 8 which which WDT 39713 6798 9 can can MD 39713 6798 10 only only RB 39713 6798 11 be be VB 39713 6798 12 done do VBN 39713 6798 13 , , , 39713 6798 14 according accord VBG 39713 6798 15 to to IN 39713 6798 16 him -PRON- PRP 39713 6798 17 , , , 39713 6798 18 " " '' 39713 6798 19 by by IN 39713 6798 20 restricting restrict VBG 39713 6798 21 or or CC 39713 6798 22 even even RB 39713 6798 23 sacrificing sacrifice VBG 39713 6798 24 the the DT 39713 6798 25 notion notion NN 39713 6798 26 of of IN 39713 6798 27 class class NN 39713 6798 28 . . . 39713 6798 29 " " '' 39713 6799 1 And and CC 39713 6799 2 M. M. NNP 39713 6799 3 Couturat Couturat NNP 39713 6799 4 , , , 39713 6799 5 discovering discover VBG 39713 6799 6 the the DT 39713 6799 7 success success NN 39713 6799 8 of of IN 39713 6799 9 his -PRON- PRP$ 39713 6799 10 attempt attempt NN 39713 6799 11 , , , 39713 6799 12 adds add VBZ 39713 6799 13 : : : 39713 6799 14 " " `` 39713 6799 15 If if IN 39713 6799 16 the the DT 39713 6799 17 logicians logicians NNPS 39713 6799 18 succeed succeed VBP 39713 6799 19 where where WRB 39713 6799 20 others other NNS 39713 6799 21 have have VBP 39713 6799 22 failed fail VBN 39713 6799 23 , , , 39713 6799 24 M. M. NNP 39713 6799 25 Poincaré Poincaré NNP 39713 6799 26 will will MD 39713 6799 27 remember remember VB 39713 6799 28 this this DT 39713 6799 29 phrase phrase NN 39713 6799 30 , , , 39713 6799 31 and and CC 39713 6799 32 give give VB 39713 6799 33 the the DT 39713 6799 34 honor honor NN 39713 6799 35 of of IN 39713 6799 36 the the DT 39713 6799 37 solution solution NN 39713 6799 38 to to TO 39713 6799 39 logistic logistic JJ 39713 6799 40 . . . 39713 6799 41 " " '' 39713 6800 1 But but CC 39713 6800 2 no no UH 39713 6800 3 ! ! . 39713 6801 1 Logistic logistic JJ 39713 6801 2 exists exist VBZ 39713 6801 3 , , , 39713 6801 4 it -PRON- PRP 39713 6801 5 has have VBZ 39713 6801 6 its -PRON- PRP$ 39713 6801 7 code code NN 39713 6801 8 which which WDT 39713 6801 9 has have VBZ 39713 6801 10 already already RB 39713 6801 11 had have VBN 39713 6801 12 four four CD 39713 6801 13 editions edition NNS 39713 6801 14 ; ; : 39713 6801 15 or or CC 39713 6801 16 rather rather RB 39713 6801 17 this this DT 39713 6801 18 code code NN 39713 6801 19 is be VBZ 39713 6801 20 logistic logistic JJ 39713 6801 21 itself -PRON- PRP 39713 6801 22 . . . 39713 6802 1 Is be VBZ 39713 6802 2 Mr. Mr. NNP 39713 6802 3 Russell Russell NNP 39713 6802 4 preparing prepare VBG 39713 6802 5 to to TO 39713 6802 6 show show VB 39713 6802 7 that that IN 39713 6802 8 one one NN 39713 6802 9 at at IN 39713 6802 10 least least JJS 39713 6802 11 of of IN 39713 6802 12 the the DT 39713 6802 13 two two CD 39713 6802 14 contradictory contradictory JJ 39713 6802 15 reasonings reasoning NNS 39713 6802 16 has have VBZ 39713 6802 17 transgressed transgress VBN 39713 6802 18 the the DT 39713 6802 19 code code NN 39713 6802 20 ? ? . 39713 6803 1 Not not RB 39713 6803 2 at at RB 39713 6803 3 all all RB 39713 6803 4 ; ; : 39713 6803 5 he -PRON- PRP 39713 6803 6 is be VBZ 39713 6803 7 preparing prepare VBG 39713 6803 8 to to TO 39713 6803 9 change change VB 39713 6803 10 these these DT 39713 6803 11 laws law NNS 39713 6803 12 and and CC 39713 6803 13 to to TO 39713 6803 14 abrogate abrogate VB 39713 6803 15 a a DT 39713 6803 16 certain certain JJ 39713 6803 17 number number NN 39713 6803 18 of of IN 39713 6803 19 them -PRON- PRP 39713 6803 20 . . . 39713 6804 1 If if IN 39713 6804 2 he -PRON- PRP 39713 6804 3 succeeds succeed VBZ 39713 6804 4 , , , 39713 6804 5 I -PRON- PRP 39713 6804 6 shall shall MD 39713 6804 7 give give VB 39713 6804 8 the the DT 39713 6804 9 honor honor NN 39713 6804 10 of of IN 39713 6804 11 it -PRON- PRP 39713 6804 12 to to IN 39713 6804 13 Russell Russell NNP 39713 6804 14 's 's POS 39713 6804 15 intuition intuition NN 39713 6804 16 and and CC 39713 6804 17 not not RB 39713 6804 18 to to IN 39713 6804 19 the the DT 39713 6804 20 Peanian peanian JJ 39713 6804 21 logistic logistic NN 39713 6804 22 which which WDT 39713 6804 23 he -PRON- PRP 39713 6804 24 will will MD 39713 6804 25 have have VB 39713 6804 26 destroyed destroy VBN 39713 6804 27 . . . 39713 6805 1 III III NNP 39713 6805 2 _ _ NNP 39713 6805 3 The The NNP 39713 6805 4 Liberty Liberty NNP 39713 6805 5 of of IN 39713 6805 6 Contradiction Contradiction NNP 39713 6805 7 _ _ NNP 39713 6805 8 I -PRON- PRP 39713 6805 9 made make VBD 39713 6805 10 two two CD 39713 6805 11 principal principal JJ 39713 6805 12 objections objection NNS 39713 6805 13 to to IN 39713 6805 14 the the DT 39713 6805 15 definition definition NN 39713 6805 16 of of IN 39713 6805 17 whole whole JJ 39713 6805 18 number number NN 39713 6805 19 adopted adopt VBN 39713 6805 20 in in IN 39713 6805 21 logistic logistic JJ 39713 6805 22 . . . 39713 6806 1 What what WP 39713 6806 2 says say VBZ 39713 6806 3 M. M. NNP 39713 6806 4 Couturat Couturat NNP 39713 6806 5 to to IN 39713 6806 6 the the DT 39713 6806 7 first first JJ 39713 6806 8 of of IN 39713 6806 9 these these DT 39713 6806 10 objections objection NNS 39713 6806 11 ? ? . 39713 6807 1 What what WP 39713 6807 2 does do VBZ 39713 6807 3 the the DT 39713 6807 4 word word NN 39713 6807 5 _ _ NNP 39713 6807 6 exist exist VBP 39713 6807 7 _ _ NNP 39713 6807 8 mean mean NN 39713 6807 9 in in IN 39713 6807 10 mathematics mathematic NNS 39713 6807 11 ? ? . 39713 6808 1 It -PRON- PRP 39713 6808 2 means mean VBZ 39713 6808 3 , , , 39713 6808 4 I -PRON- PRP 39713 6808 5 said say VBD 39713 6808 6 , , , 39713 6808 7 to to TO 39713 6808 8 be be VB 39713 6808 9 free free JJ 39713 6808 10 from from IN 39713 6808 11 contradiction contradiction NN 39713 6808 12 . . . 39713 6809 1 This this DT 39713 6809 2 M. M. NNP 39713 6809 3 Couturat Couturat NNP 39713 6809 4 contests contest NNS 39713 6809 5 . . . 39713 6810 1 " " `` 39713 6810 2 Logical logical JJ 39713 6810 3 existence existence NN 39713 6810 4 , , , 39713 6810 5 " " '' 39713 6810 6 says say VBZ 39713 6810 7 he -PRON- PRP 39713 6810 8 , , , 39713 6810 9 " " `` 39713 6810 10 is be VBZ 39713 6810 11 quite quite PDT 39713 6810 12 another another DT 39713 6810 13 thing thing NN 39713 6810 14 from from IN 39713 6810 15 the the DT 39713 6810 16 absence absence NN 39713 6810 17 of of IN 39713 6810 18 contradiction contradiction NN 39713 6810 19 . . . 39713 6811 1 It -PRON- PRP 39713 6811 2 consists consist VBZ 39713 6811 3 in in IN 39713 6811 4 the the DT 39713 6811 5 fact fact NN 39713 6811 6 that that IN 39713 6811 7 a a DT 39713 6811 8 class class NN 39713 6811 9 is be VBZ 39713 6811 10 not not RB 39713 6811 11 empty empty JJ 39713 6811 12 . . . 39713 6811 13 " " '' 39713 6812 1 To to TO 39713 6812 2 say say VB 39713 6812 3 : : : 39713 6812 4 _ _ NNP 39713 6812 5 a a DT 39713 6812 6 _ _ NNP 39713 6812 7 's 's POS 39713 6812 8 exist exist NN 39713 6812 9 , , , 39713 6812 10 is be VBZ 39713 6812 11 , , , 39713 6812 12 by by IN 39713 6812 13 definition definition NN 39713 6812 14 , , , 39713 6812 15 to to TO 39713 6812 16 affirm affirm VB 39713 6812 17 that that IN 39713 6812 18 the the DT 39713 6812 19 class class NN 39713 6812 20 _ _ NNP 39713 6812 21 a a DT 39713 6812 22 _ _ NNP 39713 6812 23 is be VBZ 39713 6812 24 not not RB 39713 6812 25 null null JJ 39713 6812 26 . . . 39713 6813 1 And and CC 39713 6813 2 doubtless doubtless JJ 39713 6813 3 to to TO 39713 6813 4 affirm affirm VB 39713 6813 5 that that IN 39713 6813 6 the the DT 39713 6813 7 class class NN 39713 6813 8 _ _ NNP 39713 6813 9 a a DT 39713 6813 10 _ _ NNP 39713 6813 11 is be VBZ 39713 6813 12 not not RB 39713 6813 13 null null JJ 39713 6813 14 , , , 39713 6813 15 is be VBZ 39713 6813 16 , , , 39713 6813 17 by by IN 39713 6813 18 definition definition NN 39713 6813 19 , , , 39713 6813 20 to to TO 39713 6813 21 affirm affirm VB 39713 6813 22 that that IN 39713 6813 23 _ _ NNP 39713 6813 24 a a DT 39713 6813 25 _ _ NNP 39713 6813 26 's 's POS 39713 6813 27 exist exist NN 39713 6813 28 . . . 39713 6814 1 But but CC 39713 6814 2 one one CD 39713 6814 3 of of IN 39713 6814 4 the the DT 39713 6814 5 two two CD 39713 6814 6 affirmations affirmation NNS 39713 6814 7 is be VBZ 39713 6814 8 as as IN 39713 6814 9 denuded denude VBN 39713 6814 10 of of IN 39713 6814 11 meaning meaning NN 39713 6814 12 as as IN 39713 6814 13 the the DT 39713 6814 14 other other JJ 39713 6814 15 , , , 39713 6814 16 if if IN 39713 6814 17 they -PRON- PRP 39713 6814 18 do do VBP 39713 6814 19 not not RB 39713 6814 20 both both DT 39713 6814 21 signify signify VB 39713 6814 22 , , , 39713 6814 23 either either CC 39713 6814 24 that that IN 39713 6814 25 one one PRP 39713 6814 26 may may MD 39713 6814 27 see see VB 39713 6814 28 or or CC 39713 6814 29 touch touch VB 39713 6814 30 _ _ NNP 39713 6814 31 a a DT 39713 6814 32 _ _ NNP 39713 6814 33 's 's POS 39713 6814 34 which which WDT 39713 6814 35 is be VBZ 39713 6814 36 the the DT 39713 6814 37 meaning mean VBG 39713 6814 38 physicists physicist NNS 39713 6814 39 or or CC 39713 6814 40 naturalists naturalist NNS 39713 6814 41 give give VB 39713 6814 42 them -PRON- PRP 39713 6814 43 , , , 39713 6814 44 or or CC 39713 6814 45 that that IN 39713 6814 46 one one PRP 39713 6814 47 may may MD 39713 6814 48 conceive conceive VB 39713 6814 49 an an DT 39713 6814 50 _ _ NNP 39713 6814 51 a a DT 39713 6814 52 _ _ NNP 39713 6814 53 without without IN 39713 6814 54 being be VBG 39713 6814 55 drawn draw VBN 39713 6814 56 into into IN 39713 6814 57 contradictions contradiction NNS 39713 6814 58 , , , 39713 6814 59 which which WDT 39713 6814 60 is be VBZ 39713 6814 61 the the DT 39713 6814 62 meaning meaning NN 39713 6814 63 given give VBN 39713 6814 64 them -PRON- PRP 39713 6814 65 by by IN 39713 6814 66 logicians logician NNS 39713 6814 67 and and CC 39713 6814 68 mathematicians mathematician NNS 39713 6814 69 . . . 39713 6815 1 For for IN 39713 6815 2 M. M. NNP 39713 6815 3 Couturat Couturat NNP 39713 6815 4 , , , 39713 6815 5 " " `` 39713 6815 6 it -PRON- PRP 39713 6815 7 is be VBZ 39713 6815 8 not not RB 39713 6815 9 non non JJ 39713 6815 10 - - JJ 39713 6815 11 contradiction contradiction NN 39713 6815 12 that that WDT 39713 6815 13 proves prove VBZ 39713 6815 14 existence existence NN 39713 6815 15 , , , 39713 6815 16 but but CC 39713 6815 17 it -PRON- PRP 39713 6815 18 is be VBZ 39713 6815 19 existence existence NN 39713 6815 20 that that WDT 39713 6815 21 proves prove VBZ 39713 6815 22 non non JJ 39713 6815 23 - - JJ 39713 6815 24 contradiction contradiction JJ 39713 6815 25 . . . 39713 6815 26 " " '' 39713 6816 1 To to TO 39713 6816 2 establish establish VB 39713 6816 3 the the DT 39713 6816 4 existence existence NN 39713 6816 5 of of IN 39713 6816 6 a a DT 39713 6816 7 class class NN 39713 6816 8 , , , 39713 6816 9 it -PRON- PRP 39713 6816 10 is be VBZ 39713 6816 11 necessary necessary JJ 39713 6816 12 therefore therefore RB 39713 6816 13 to to TO 39713 6816 14 establish establish VB 39713 6816 15 , , , 39713 6816 16 by by IN 39713 6816 17 an an DT 39713 6816 18 _ _ NNP 39713 6816 19 example example NN 39713 6816 20 _ _ NNP 39713 6816 21 , , , 39713 6816 22 that that IN 39713 6816 23 there there EX 39713 6816 24 is be VBZ 39713 6816 25 an an DT 39713 6816 26 individual individual NN 39713 6816 27 belonging belong VBG 39713 6816 28 to to IN 39713 6816 29 this this DT 39713 6816 30 class class NN 39713 6816 31 : : : 39713 6816 32 " " `` 39713 6816 33 But but CC 39713 6816 34 , , , 39713 6816 35 it -PRON- PRP 39713 6816 36 will will MD 39713 6816 37 be be VB 39713 6816 38 said say VBN 39713 6816 39 , , , 39713 6816 40 how how WRB 39713 6816 41 is be VBZ 39713 6816 42 the the DT 39713 6816 43 existence existence NN 39713 6816 44 of of IN 39713 6816 45 this this DT 39713 6816 46 individual individual JJ 39713 6816 47 proved prove VBD 39713 6816 48 ? ? . 39713 6817 1 Must Must MD 39713 6817 2 not not RB 39713 6817 3 this this DT 39713 6817 4 existence existence NN 39713 6817 5 be be VB 39713 6817 6 established establish VBN 39713 6817 7 , , , 39713 6817 8 in in IN 39713 6817 9 order order NN 39713 6817 10 that that IN 39713 6817 11 the the DT 39713 6817 12 existence existence NN 39713 6817 13 of of IN 39713 6817 14 the the DT 39713 6817 15 class class NN 39713 6817 16 of of IN 39713 6817 17 which which WDT 39713 6817 18 it -PRON- PRP 39713 6817 19 is be VBZ 39713 6817 20 a a DT 39713 6817 21 part part NN 39713 6817 22 may may MD 39713 6817 23 be be VB 39713 6817 24 deduced deduce VBN 39713 6817 25 ? ? . 39713 6818 1 Well well UH 39713 6818 2 , , , 39713 6818 3 no no UH 39713 6818 4 ; ; : 39713 6818 5 however however RB 39713 6818 6 paradoxical paradoxical JJ 39713 6818 7 may may MD 39713 6818 8 appear appear VB 39713 6818 9 the the DT 39713 6818 10 assertion assertion NN 39713 6818 11 , , , 39713 6818 12 we -PRON- PRP 39713 6818 13 never never RB 39713 6818 14 demonstrate demonstrate VBP 39713 6818 15 the the DT 39713 6818 16 existence existence NN 39713 6818 17 of of IN 39713 6818 18 an an DT 39713 6818 19 individual individual NN 39713 6818 20 . . . 39713 6819 1 Individuals individual NNS 39713 6819 2 , , , 39713 6819 3 just just RB 39713 6819 4 because because IN 39713 6819 5 they -PRON- PRP 39713 6819 6 are be VBP 39713 6819 7 individuals individual NNS 39713 6819 8 , , , 39713 6819 9 are be VBP 39713 6819 10 always always RB 39713 6819 11 considered consider VBN 39713 6819 12 as as IN 39713 6819 13 existent existent NN 39713 6819 14 .... .... . 39713 6819 15 We -PRON- PRP 39713 6819 16 never never RB 39713 6819 17 have have VBP 39713 6819 18 to to TO 39713 6819 19 express express VB 39713 6819 20 that that IN 39713 6819 21 an an DT 39713 6819 22 individual individual JJ 39713 6819 23 exists exist VBZ 39713 6819 24 , , , 39713 6819 25 absolutely absolutely RB 39713 6819 26 speaking speak VBG 39713 6819 27 , , , 39713 6819 28 but but CC 39713 6819 29 only only RB 39713 6819 30 that that IN 39713 6819 31 it -PRON- PRP 39713 6819 32 exists exist VBZ 39713 6819 33 in in IN 39713 6819 34 a a DT 39713 6819 35 class class NN 39713 6819 36 . . . 39713 6819 37 " " '' 39713 6820 1 M. M. NNP 39713 6820 2 Couturat Couturat NNP 39713 6820 3 finds find VBZ 39713 6820 4 his -PRON- PRP$ 39713 6820 5 own own JJ 39713 6820 6 assertion assertion NN 39713 6820 7 paradoxical paradoxical JJ 39713 6820 8 , , , 39713 6820 9 and and CC 39713 6820 10 he -PRON- PRP 39713 6820 11 will will MD 39713 6820 12 certainly certainly RB 39713 6820 13 not not RB 39713 6820 14 be be VB 39713 6820 15 the the DT 39713 6820 16 only only JJ 39713 6820 17 one one CD 39713 6820 18 . . . 39713 6821 1 Yet yet CC 39713 6821 2 it -PRON- PRP 39713 6821 3 must must MD 39713 6821 4 have have VB 39713 6821 5 a a DT 39713 6821 6 meaning meaning NN 39713 6821 7 . . . 39713 6822 1 It -PRON- PRP 39713 6822 2 doubtless doubtless RB 39713 6822 3 means mean VBZ 39713 6822 4 that that IN 39713 6822 5 the the DT 39713 6822 6 existence existence NN 39713 6822 7 of of IN 39713 6822 8 an an DT 39713 6822 9 individual individual NN 39713 6822 10 , , , 39713 6822 11 alone alone RB 39713 6822 12 in in IN 39713 6822 13 the the DT 39713 6822 14 world world NN 39713 6822 15 , , , 39713 6822 16 and and CC 39713 6822 17 of of IN 39713 6822 18 which which WDT 39713 6822 19 nothing nothing NN 39713 6822 20 is be VBZ 39713 6822 21 affirmed affirm VBN 39713 6822 22 , , , 39713 6822 23 can can MD 39713 6822 24 not not RB 39713 6822 25 involve involve VB 39713 6822 26 contradiction contradiction NN 39713 6822 27 ; ; : 39713 6822 28 in in IN 39713 6822 29 so so RB 39713 6822 30 far far RB 39713 6822 31 as as IN 39713 6822 32 it -PRON- PRP 39713 6822 33 is be VBZ 39713 6822 34 all all RB 39713 6822 35 alone alone JJ 39713 6822 36 it -PRON- PRP 39713 6822 37 evidently evidently RB 39713 6822 38 will will MD 39713 6822 39 not not RB 39713 6822 40 embarrass embarrass VB 39713 6822 41 any any DT 39713 6822 42 one one CD 39713 6822 43 . . . 39713 6823 1 Well well UH 39713 6823 2 , , , 39713 6823 3 so so RB 39713 6823 4 let let VB 39713 6823 5 it -PRON- PRP 39713 6823 6 be be VB 39713 6823 7 ; ; : 39713 6823 8 we -PRON- PRP 39713 6823 9 shall shall MD 39713 6823 10 admit admit VB 39713 6823 11 the the DT 39713 6823 12 existence existence NN 39713 6823 13 of of IN 39713 6823 14 the the DT 39713 6823 15 individual individual NN 39713 6823 16 , , , 39713 6823 17 ' ' '' 39713 6823 18 absolutely absolutely RB 39713 6823 19 speaking speak VBG 39713 6823 20 , , , 39713 6823 21 ' ' '' 39713 6823 22 but but CC 39713 6823 23 nothing nothing NN 39713 6823 24 more more JJR 39713 6823 25 . . . 39713 6824 1 It -PRON- PRP 39713 6824 2 remains remain VBZ 39713 6824 3 to to TO 39713 6824 4 prove prove VB 39713 6824 5 the the DT 39713 6824 6 existence existence NN 39713 6824 7 of of IN 39713 6824 8 the the DT 39713 6824 9 individual individual NN 39713 6824 10 ' ' '' 39713 6824 11 in in IN 39713 6824 12 a a DT 39713 6824 13 class class NN 39713 6824 14 , , , 39713 6824 15 ' ' '' 39713 6824 16 and and CC 39713 6824 17 for for IN 39713 6824 18 that that DT 39713 6824 19 it -PRON- PRP 39713 6824 20 will will MD 39713 6824 21 always always RB 39713 6824 22 be be VB 39713 6824 23 necessary necessary JJ 39713 6824 24 to to TO 39713 6824 25 prove prove VB 39713 6824 26 that that IN 39713 6824 27 the the DT 39713 6824 28 affirmation affirmation NN 39713 6824 29 , , , 39713 6824 30 " " '' 39713 6824 31 Such such PDT 39713 6824 32 an an DT 39713 6824 33 individual individual NN 39713 6824 34 belongs belong VBZ 39713 6824 35 to to IN 39713 6824 36 such such PDT 39713 6824 37 a a DT 39713 6824 38 class class NN 39713 6824 39 , , , 39713 6824 40 " " '' 39713 6824 41 is be VBZ 39713 6824 42 neither neither CC 39713 6824 43 contradictory contradictory JJ 39713 6824 44 in in IN 39713 6824 45 itself -PRON- PRP 39713 6824 46 , , , 39713 6824 47 nor nor CC 39713 6824 48 to to IN 39713 6824 49 the the DT 39713 6824 50 other other JJ 39713 6824 51 postulates postulate NNS 39713 6824 52 adopted adopt VBD 39713 6824 53 . . . 39713 6825 1 " " `` 39713 6825 2 It -PRON- PRP 39713 6825 3 is be VBZ 39713 6825 4 then then RB 39713 6825 5 , , , 39713 6825 6 " " '' 39713 6825 7 continues continue VBZ 39713 6825 8 M. M. NNP 39713 6825 9 Couturat Couturat NNP 39713 6825 10 , , , 39713 6825 11 " " '' 39713 6825 12 arbitrary arbitrary JJ 39713 6825 13 and and CC 39713 6825 14 misleading misleading JJ 39713 6825 15 to to TO 39713 6825 16 maintain maintain VB 39713 6825 17 that that IN 39713 6825 18 a a DT 39713 6825 19 definition definition NN 39713 6825 20 is be VBZ 39713 6825 21 valid valid JJ 39713 6825 22 only only RB 39713 6825 23 if if IN 39713 6825 24 we -PRON- PRP 39713 6825 25 first first RB 39713 6825 26 prove prove VBP 39713 6825 27 it -PRON- PRP 39713 6825 28 is be VBZ 39713 6825 29 not not RB 39713 6825 30 contradictory contradictory JJ 39713 6825 31 . . . 39713 6825 32 " " '' 39713 6826 1 One one PRP 39713 6826 2 could could MD 39713 6826 3 not not RB 39713 6826 4 claim claim VB 39713 6826 5 in in IN 39713 6826 6 prouder prouder NN 39713 6826 7 and and CC 39713 6826 8 more more RBR 39713 6826 9 energetic energetic JJ 39713 6826 10 terms term NNS 39713 6826 11 the the DT 39713 6826 12 liberty liberty NN 39713 6826 13 of of IN 39713 6826 14 contradiction contradiction NN 39713 6826 15 . . . 39713 6827 1 " " `` 39713 6827 2 In in IN 39713 6827 3 any any DT 39713 6827 4 case case NN 39713 6827 5 , , , 39713 6827 6 the the DT 39713 6827 7 _ _ NNP 39713 6827 8 onus onus NN 39713 6827 9 probandi probandi NN 39713 6827 10 _ _ NNP 39713 6827 11 rests rest VBZ 39713 6827 12 upon upon IN 39713 6827 13 those those DT 39713 6827 14 who who WP 39713 6827 15 believe believe VBP 39713 6827 16 that that IN 39713 6827 17 these these DT 39713 6827 18 principles principle NNS 39713 6827 19 are be VBP 39713 6827 20 contradictory contradictory JJ 39713 6827 21 . . . 39713 6827 22 " " '' 39713 6828 1 Postulates postulate NNS 39713 6828 2 are be VBP 39713 6828 3 presumed presume VBN 39713 6828 4 to to TO 39713 6828 5 be be VB 39713 6828 6 compatible compatible JJ 39713 6828 7 until until IN 39713 6828 8 the the DT 39713 6828 9 contrary contrary NN 39713 6828 10 is be VBZ 39713 6828 11 proved prove VBN 39713 6828 12 , , , 39713 6828 13 just just RB 39713 6828 14 as as IN 39713 6828 15 the the DT 39713 6828 16 accused accuse VBN 39713 6828 17 person person NN 39713 6828 18 is be VBZ 39713 6828 19 presumed presume VBN 39713 6828 20 innocent innocent JJ 39713 6828 21 . . . 39713 6829 1 Needless needless JJ 39713 6829 2 to to TO 39713 6829 3 add add VB 39713 6829 4 that that IN 39713 6829 5 I -PRON- PRP 39713 6829 6 do do VBP 39713 6829 7 not not RB 39713 6829 8 assent assent VB 39713 6829 9 to to IN 39713 6829 10 this this DT 39713 6829 11 claim claim NN 39713 6829 12 . . . 39713 6830 1 But but CC 39713 6830 2 , , , 39713 6830 3 you -PRON- PRP 39713 6830 4 say say VBP 39713 6830 5 , , , 39713 6830 6 the the DT 39713 6830 7 demonstration demonstration NN 39713 6830 8 you -PRON- PRP 39713 6830 9 require require VBP 39713 6830 10 of of IN 39713 6830 11 us -PRON- PRP 39713 6830 12 is be VBZ 39713 6830 13 impossible impossible JJ 39713 6830 14 , , , 39713 6830 15 and and CC 39713 6830 16 you -PRON- PRP 39713 6830 17 can can MD 39713 6830 18 not not RB 39713 6830 19 ask ask VB 39713 6830 20 us -PRON- PRP 39713 6830 21 to to TO 39713 6830 22 jump jump VB 39713 6830 23 over over RP 39713 6830 24 the the DT 39713 6830 25 moon moon NN 39713 6830 26 . . . 39713 6831 1 Pardon pardon VB 39713 6831 2 me -PRON- PRP 39713 6831 3 ; ; : 39713 6831 4 that that DT 39713 6831 5 is be VBZ 39713 6831 6 impossible impossible JJ 39713 6831 7 for for IN 39713 6831 8 you -PRON- PRP 39713 6831 9 , , , 39713 6831 10 but but CC 39713 6831 11 not not RB 39713 6831 12 for for IN 39713 6831 13 us -PRON- PRP 39713 6831 14 , , , 39713 6831 15 who who WP 39713 6831 16 admit admit VBP 39713 6831 17 the the DT 39713 6831 18 principle principle NN 39713 6831 19 of of IN 39713 6831 20 induction induction NN 39713 6831 21 as as IN 39713 6831 22 a a DT 39713 6831 23 synthetic synthetic JJ 39713 6831 24 judgment judgment NN 39713 6831 25 _ _ NNP 39713 6831 26 a a DT 39713 6831 27 priori priori FW 39713 6831 28 _ _ NNP 39713 6831 29 . . . 39713 6832 1 And and CC 39713 6832 2 that that DT 39713 6832 3 would would MD 39713 6832 4 be be VB 39713 6832 5 necessary necessary JJ 39713 6832 6 for for IN 39713 6832 7 you -PRON- PRP 39713 6832 8 , , , 39713 6832 9 as as IN 39713 6832 10 for for IN 39713 6832 11 us -PRON- PRP 39713 6832 12 . . . 39713 6833 1 To to TO 39713 6833 2 demonstrate demonstrate VB 39713 6833 3 that that IN 39713 6833 4 a a DT 39713 6833 5 system system NN 39713 6833 6 of of IN 39713 6833 7 postulates postulates FW 39713 6833 8 implies imply VBZ 39713 6833 9 no no DT 39713 6833 10 contradiction contradiction NN 39713 6833 11 , , , 39713 6833 12 it -PRON- PRP 39713 6833 13 is be VBZ 39713 6833 14 necessary necessary JJ 39713 6833 15 to to TO 39713 6833 16 apply apply VB 39713 6833 17 the the DT 39713 6833 18 principle principle NN 39713 6833 19 of of IN 39713 6833 20 complete complete JJ 39713 6833 21 induction induction NN 39713 6833 22 ; ; : 39713 6833 23 this this DT 39713 6833 24 mode mode NN 39713 6833 25 of of IN 39713 6833 26 reasoning reason VBG 39713 6833 27 not not RB 39713 6833 28 only only RB 39713 6833 29 has have VBZ 39713 6833 30 nothing nothing NN 39713 6833 31 ' ' `` 39713 6833 32 bizarre bizarre JJ 39713 6833 33 ' ' '' 39713 6833 34 about about IN 39713 6833 35 it -PRON- PRP 39713 6833 36 , , , 39713 6833 37 but but CC 39713 6833 38 it -PRON- PRP 39713 6833 39 is be VBZ 39713 6833 40 the the DT 39713 6833 41 only only JJ 39713 6833 42 correct correct JJ 39713 6833 43 one one CD 39713 6833 44 . . . 39713 6834 1 It -PRON- PRP 39713 6834 2 is be VBZ 39713 6834 3 not not RB 39713 6834 4 ' ' `` 39713 6834 5 unlikely unlikely JJ 39713 6834 6 ' ' '' 39713 6834 7 that that IN 39713 6834 8 it -PRON- PRP 39713 6834 9 has have VBZ 39713 6834 10 ever ever RB 39713 6834 11 been be VBN 39713 6834 12 employed employ VBN 39713 6834 13 ; ; : 39713 6834 14 and and CC 39713 6834 15 it -PRON- PRP 39713 6834 16 is be VBZ 39713 6834 17 not not RB 39713 6834 18 hard hard JJ 39713 6834 19 to to TO 39713 6834 20 find find VB 39713 6834 21 ' ' `` 39713 6834 22 examples example NNS 39713 6834 23 and and CC 39713 6834 24 precedents precedent NNS 39713 6834 25 ' ' '' 39713 6834 26 of of IN 39713 6834 27 it -PRON- PRP 39713 6834 28 . . . 39713 6835 1 I -PRON- PRP 39713 6835 2 have have VBP 39713 6835 3 cited cite VBN 39713 6835 4 two two CD 39713 6835 5 such such JJ 39713 6835 6 instances instance NNS 39713 6835 7 borrowed borrow VBN 39713 6835 8 from from IN 39713 6835 9 Hilbert Hilbert NNP 39713 6835 10 's 's POS 39713 6835 11 article article NN 39713 6835 12 . . . 39713 6836 1 He -PRON- PRP 39713 6836 2 is be VBZ 39713 6836 3 not not RB 39713 6836 4 the the DT 39713 6836 5 only only JJ 39713 6836 6 one one CD 39713 6836 7 to to TO 39713 6836 8 have have VB 39713 6836 9 used use VBN 39713 6836 10 it -PRON- PRP 39713 6836 11 , , , 39713 6836 12 and and CC 39713 6836 13 those those DT 39713 6836 14 who who WP 39713 6836 15 have have VBP 39713 6836 16 not not RB 39713 6836 17 done do VBN 39713 6836 18 so so RB 39713 6836 19 have have VBP 39713 6836 20 been be VBN 39713 6836 21 wrong wrong JJ 39713 6836 22 . . . 39713 6837 1 What what WP 39713 6837 2 I -PRON- PRP 39713 6837 3 have have VBP 39713 6837 4 blamed blame VBN 39713 6837 5 Hilbert Hilbert NNP 39713 6837 6 for for IN 39713 6837 7 is be VBZ 39713 6837 8 not not RB 39713 6837 9 his -PRON- PRP$ 39713 6837 10 having have VBG 39713 6837 11 recourse recourse NN 39713 6837 12 to to IN 39713 6837 13 it -PRON- PRP 39713 6837 14 ( ( -LRB- 39713 6837 15 a a DT 39713 6837 16 born bear VBN 39713 6837 17 mathematician mathematician NN 39713 6837 18 such such JJ 39713 6837 19 as as IN 39713 6837 20 he -PRON- PRP 39713 6837 21 could could MD 39713 6837 22 not not RB 39713 6837 23 fail fail VB 39713 6837 24 to to TO 39713 6837 25 see see VB 39713 6837 26 a a DT 39713 6837 27 demonstration demonstration NN 39713 6837 28 was be VBD 39713 6837 29 necessary necessary JJ 39713 6837 30 and and CC 39713 6837 31 this this DT 39713 6837 32 the the DT 39713 6837 33 only only JJ 39713 6837 34 one one CD 39713 6837 35 possible possible JJ 39713 6837 36 ) ) -RRB- 39713 6837 37 , , , 39713 6837 38 but but CC 39713 6837 39 his -PRON- PRP$ 39713 6837 40 having have VBG 39713 6837 41 recourse recourse NN 39713 6837 42 without without IN 39713 6837 43 recognizing recognize VBG 39713 6837 44 the the DT 39713 6837 45 reasoning reasoning NN 39713 6837 46 by by IN 39713 6837 47 recurrence recurrence NN 39713 6837 48 . . . 39713 6838 1 IV IV NNP 39713 6838 2 _ _ NNP 39713 6838 3 The the DT 39713 6838 4 Second Second NNP 39713 6838 5 Objection Objection NNP 39713 6838 6 _ _ NNP 39713 6838 7 I -PRON- PRP 39713 6838 8 pointed point VBD 39713 6838 9 out out RP 39713 6838 10 a a DT 39713 6838 11 second second JJ 39713 6838 12 error error NN 39713 6838 13 of of IN 39713 6838 14 logistic logistic NN 39713 6838 15 in in IN 39713 6838 16 Hilbert Hilbert NNP 39713 6838 17 's 's POS 39713 6838 18 article article NN 39713 6838 19 . . . 39713 6839 1 To to IN 39713 6839 2 - - HYPH 39713 6839 3 day day NN 39713 6839 4 Hilbert Hilbert NNP 39713 6839 5 is be VBZ 39713 6839 6 excommunicated excommunicate VBN 39713 6839 7 and and CC 39713 6839 8 M. M. NNP 39713 6839 9 Couturat Couturat NNP 39713 6839 10 no no RB 39713 6839 11 longer long RBR 39713 6839 12 regards regard VBZ 39713 6839 13 him -PRON- PRP 39713 6839 14 as as IN 39713 6839 15 of of IN 39713 6839 16 the the DT 39713 6839 17 logistic logistic JJ 39713 6839 18 cult cult NN 39713 6839 19 ; ; : 39713 6839 20 so so CC 39713 6839 21 he -PRON- PRP 39713 6839 22 asks ask VBZ 39713 6839 23 if if IN 39713 6839 24 I -PRON- PRP 39713 6839 25 have have VBP 39713 6839 26 found find VBN 39713 6839 27 the the DT 39713 6839 28 same same JJ 39713 6839 29 fault fault NN 39713 6839 30 among among IN 39713 6839 31 the the DT 39713 6839 32 orthodox orthodox NN 39713 6839 33 . . . 39713 6840 1 No no UH 39713 6840 2 , , , 39713 6840 3 I -PRON- PRP 39713 6840 4 have have VBP 39713 6840 5 not not RB 39713 6840 6 seen see VBN 39713 6840 7 it -PRON- PRP 39713 6840 8 in in IN 39713 6840 9 the the DT 39713 6840 10 pages page NNS 39713 6840 11 I -PRON- PRP 39713 6840 12 have have VBP 39713 6840 13 read read VBN 39713 6840 14 ; ; : 39713 6840 15 I -PRON- PRP 39713 6840 16 know know VBP 39713 6840 17 not not RB 39713 6840 18 whether whether IN 39713 6840 19 I -PRON- PRP 39713 6840 20 should should MD 39713 6840 21 find find VB 39713 6840 22 it -PRON- PRP 39713 6840 23 in in IN 39713 6840 24 the the DT 39713 6840 25 three three CD 39713 6840 26 hundred hundred CD 39713 6840 27 pages page NNS 39713 6840 28 they -PRON- PRP 39713 6840 29 have have VBP 39713 6840 30 written write VBN 39713 6840 31 which which WDT 39713 6840 32 I -PRON- PRP 39713 6840 33 have have VBP 39713 6840 34 no no DT 39713 6840 35 desire desire NN 39713 6840 36 to to TO 39713 6840 37 read read VB 39713 6840 38 . . . 39713 6841 1 Only only RB 39713 6841 2 , , , 39713 6841 3 they -PRON- PRP 39713 6841 4 must must MD 39713 6841 5 commit commit VB 39713 6841 6 it -PRON- PRP 39713 6841 7 the the DT 39713 6841 8 day day NN 39713 6841 9 they -PRON- PRP 39713 6841 10 wish wish VBP 39713 6841 11 to to TO 39713 6841 12 make make VB 39713 6841 13 any any DT 39713 6841 14 application application NN 39713 6841 15 of of IN 39713 6841 16 mathematics mathematic NNS 39713 6841 17 . . . 39713 6842 1 This this DT 39713 6842 2 science science NN 39713 6842 3 has have VBZ 39713 6842 4 not not RB 39713 6842 5 as as RB 39713 6842 6 sole sole JJ 39713 6842 7 object object NN 39713 6842 8 the the DT 39713 6842 9 eternal eternal JJ 39713 6842 10 contemplation contemplation NN 39713 6842 11 of of IN 39713 6842 12 its -PRON- PRP$ 39713 6842 13 own own JJ 39713 6842 14 navel navel NN 39713 6842 15 ; ; : 39713 6842 16 it -PRON- PRP 39713 6842 17 has have VBZ 39713 6842 18 to to TO 39713 6842 19 do do VB 39713 6842 20 with with IN 39713 6842 21 nature nature NN 39713 6842 22 and and CC 39713 6842 23 some some DT 39713 6842 24 day day NN 39713 6842 25 it -PRON- PRP 39713 6842 26 will will MD 39713 6842 27 touch touch VB 39713 6842 28 it -PRON- PRP 39713 6842 29 . . . 39713 6843 1 Then then RB 39713 6843 2 it -PRON- PRP 39713 6843 3 will will MD 39713 6843 4 be be VB 39713 6843 5 necessary necessary JJ 39713 6843 6 to to TO 39713 6843 7 shake shake VB 39713 6843 8 off off RP 39713 6843 9 purely purely RB 39713 6843 10 verbal verbal JJ 39713 6843 11 definitions definition NNS 39713 6843 12 and and CC 39713 6843 13 to to TO 39713 6843 14 stop stop VB 39713 6843 15 paying pay VBG 39713 6843 16 oneself oneself PRP 39713 6843 17 with with IN 39713 6843 18 words word NNS 39713 6843 19 . . . 39713 6844 1 To to TO 39713 6844 2 go go VB 39713 6844 3 back back RB 39713 6844 4 to to IN 39713 6844 5 the the DT 39713 6844 6 example example NN 39713 6844 7 of of IN 39713 6844 8 Hilbert Hilbert NNP 39713 6844 9 : : : 39713 6844 10 always always RB 39713 6844 11 the the DT 39713 6844 12 point point NN 39713 6844 13 at at IN 39713 6844 14 issue issue NN 39713 6844 15 is be VBZ 39713 6844 16 reasoning reason VBG 39713 6844 17 by by IN 39713 6844 18 recurrence recurrence NN 39713 6844 19 and and CC 39713 6844 20 the the DT 39713 6844 21 question question NN 39713 6844 22 of of IN 39713 6844 23 knowing know VBG 39713 6844 24 whether whether IN 39713 6844 25 a a DT 39713 6844 26 system system NN 39713 6844 27 of of IN 39713 6844 28 postulates postulate NNS 39713 6844 29 is be VBZ 39713 6844 30 not not RB 39713 6844 31 contradictory contradictory JJ 39713 6844 32 . . . 39713 6845 1 M. M. NNP 39713 6845 2 Couturat Couturat NNP 39713 6845 3 will will MD 39713 6845 4 doubtless doubtless RB 39713 6845 5 say say VB 39713 6845 6 that that IN 39713 6845 7 then then RB 39713 6845 8 this this DT 39713 6845 9 does do VBZ 39713 6845 10 not not RB 39713 6845 11 touch touch VB 39713 6845 12 him -PRON- PRP 39713 6845 13 , , , 39713 6845 14 but but CC 39713 6845 15 it -PRON- PRP 39713 6845 16 perhaps perhaps RB 39713 6845 17 will will MD 39713 6845 18 interest interest VB 39713 6845 19 those those DT 39713 6845 20 who who WP 39713 6845 21 do do VBP 39713 6845 22 not not RB 39713 6845 23 claim claim VB 39713 6845 24 , , , 39713 6845 25 as as IN 39713 6845 26 he -PRON- PRP 39713 6845 27 does do VBZ 39713 6845 28 , , , 39713 6845 29 the the DT 39713 6845 30 liberty liberty NN 39713 6845 31 of of IN 39713 6845 32 contradiction contradiction NN 39713 6845 33 . . . 39713 6846 1 We -PRON- PRP 39713 6846 2 wish wish VBP 39713 6846 3 to to TO 39713 6846 4 establish establish VB 39713 6846 5 , , , 39713 6846 6 as as IN 39713 6846 7 above above RB 39713 6846 8 , , , 39713 6846 9 that that IN 39713 6846 10 we -PRON- PRP 39713 6846 11 shall shall MD 39713 6846 12 never never RB 39713 6846 13 encounter encounter VB 39713 6846 14 contradiction contradiction NN 39713 6846 15 after after IN 39713 6846 16 any any DT 39713 6846 17 number number NN 39713 6846 18 of of IN 39713 6846 19 deductions deduction NNS 39713 6846 20 whatever whatever WDT 39713 6846 21 , , , 39713 6846 22 provided provide VBD 39713 6846 23 this this DT 39713 6846 24 number number NN 39713 6846 25 be be VB 39713 6846 26 finite finite JJ 39713 6846 27 . . . 39713 6847 1 For for IN 39713 6847 2 that that DT 39713 6847 3 , , , 39713 6847 4 it -PRON- PRP 39713 6847 5 is be VBZ 39713 6847 6 necessary necessary JJ 39713 6847 7 to to TO 39713 6847 8 apply apply VB 39713 6847 9 the the DT 39713 6847 10 principle principle NN 39713 6847 11 of of IN 39713 6847 12 induction induction NN 39713 6847 13 . . . 39713 6848 1 Should Should MD 39713 6848 2 we -PRON- PRP 39713 6848 3 here here RB 39713 6848 4 understand understand VB 39713 6848 5 by by IN 39713 6848 6 finite finite JJ 39713 6848 7 number number NN 39713 6848 8 every every DT 39713 6848 9 number number NN 39713 6848 10 to to TO 39713 6848 11 which which WDT 39713 6848 12 by by IN 39713 6848 13 definition definition NN 39713 6848 14 the the DT 39713 6848 15 principle principle NN 39713 6848 16 of of IN 39713 6848 17 induction induction NN 39713 6848 18 applies apply VBZ 39713 6848 19 ? ? . 39713 6849 1 Evidently evidently RB 39713 6849 2 not not RB 39713 6849 3 , , , 39713 6849 4 else else RB 39713 6849 5 we -PRON- PRP 39713 6849 6 should should MD 39713 6849 7 be be VB 39713 6849 8 led lead VBN 39713 6849 9 to to IN 39713 6849 10 most most JJS 39713 6849 11 embarrassing embarrassing JJ 39713 6849 12 consequences consequence NNS 39713 6849 13 . . . 39713 6850 1 To to TO 39713 6850 2 have have VB 39713 6850 3 the the DT 39713 6850 4 right right NN 39713 6850 5 to to TO 39713 6850 6 lay lay VB 39713 6850 7 down down RP 39713 6850 8 a a DT 39713 6850 9 system system NN 39713 6850 10 of of IN 39713 6850 11 postulates postulate NNS 39713 6850 12 , , , 39713 6850 13 we -PRON- PRP 39713 6850 14 must must MD 39713 6850 15 be be VB 39713 6850 16 sure sure JJ 39713 6850 17 they -PRON- PRP 39713 6850 18 are be VBP 39713 6850 19 not not RB 39713 6850 20 contradictory contradictory JJ 39713 6850 21 . . . 39713 6851 1 This this DT 39713 6851 2 is be VBZ 39713 6851 3 a a DT 39713 6851 4 truth truth NN 39713 6851 5 admitted admit VBN 39713 6851 6 by by IN 39713 6851 7 _ _ NNP 39713 6851 8 most most JJS 39713 6851 9 _ _ NNP 39713 6851 10 scientists scientist NNS 39713 6851 11 ; ; : 39713 6851 12 I -PRON- PRP 39713 6851 13 should should MD 39713 6851 14 have have VB 39713 6851 15 written write VBN 39713 6851 16 _ _ NNP 39713 6851 17 by by IN 39713 6851 18 all all DT 39713 6851 19 _ _ NNP 39713 6851 20 before before IN 39713 6851 21 reading read VBG 39713 6851 22 M. M. NNP 39713 6851 23 Couturat Couturat NNP 39713 6851 24 's 's POS 39713 6851 25 last last JJ 39713 6851 26 article article NN 39713 6851 27 . . . 39713 6852 1 But but CC 39713 6852 2 what what WP 39713 6852 3 does do VBZ 39713 6852 4 this this DT 39713 6852 5 signify signify VB 39713 6852 6 ? ? . 39713 6853 1 Does do VBZ 39713 6853 2 it -PRON- PRP 39713 6853 3 mean mean VB 39713 6853 4 that that IN 39713 6853 5 we -PRON- PRP 39713 6853 6 must must MD 39713 6853 7 be be VB 39713 6853 8 sure sure JJ 39713 6853 9 of of IN 39713 6853 10 not not RB 39713 6853 11 meeting meet VBG 39713 6853 12 contradiction contradiction NN 39713 6853 13 after after IN 39713 6853 14 a a DT 39713 6853 15 _ _ NNP 39713 6853 16 finite finite NN 39713 6853 17 _ _ NNP 39713 6853 18 number number NN 39713 6853 19 of of IN 39713 6853 20 propositions proposition NNS 39713 6853 21 , , , 39713 6853 22 the the DT 39713 6853 23 _ _ NNP 39713 6853 24 finite finite NN 39713 6853 25 _ _ NNP 39713 6853 26 number number NN 39713 6853 27 being be VBG 39713 6853 28 by by IN 39713 6853 29 definition definition NN 39713 6853 30 that that IN 39713 6853 31 which which WDT 39713 6853 32 has have VBZ 39713 6853 33 all all DT 39713 6853 34 properties property NNS 39713 6853 35 of of IN 39713 6853 36 recurrent recurrent JJ 39713 6853 37 nature nature NN 39713 6853 38 , , , 39713 6853 39 so so IN 39713 6853 40 that that IN 39713 6853 41 if if IN 39713 6853 42 one one CD 39713 6853 43 of of IN 39713 6853 44 these these DT 39713 6853 45 properties property NNS 39713 6853 46 fails fail VBZ 39713 6853 47 -- -- : 39713 6853 48 if if IN 39713 6853 49 , , , 39713 6853 50 for for IN 39713 6853 51 instance instance NN 39713 6853 52 , , , 39713 6853 53 we -PRON- PRP 39713 6853 54 come come VBP 39713 6853 55 upon upon IN 39713 6853 56 a a DT 39713 6853 57 contradiction contradiction NN 39713 6853 58 -- -- : 39713 6853 59 we -PRON- PRP 39713 6853 60 shall shall MD 39713 6853 61 agree agree VB 39713 6853 62 to to TO 39713 6853 63 say say VB 39713 6853 64 that that IN 39713 6853 65 the the DT 39713 6853 66 number number NN 39713 6853 67 in in IN 39713 6853 68 question question NN 39713 6853 69 is be VBZ 39713 6853 70 not not RB 39713 6853 71 finite finite JJ 39713 6853 72 ? ? . 39713 6854 1 In in IN 39713 6854 2 other other JJ 39713 6854 3 words word NNS 39713 6854 4 , , , 39713 6854 5 do do VBP 39713 6854 6 we -PRON- PRP 39713 6854 7 mean mean VB 39713 6854 8 that that IN 39713 6854 9 we -PRON- PRP 39713 6854 10 must must MD 39713 6854 11 be be VB 39713 6854 12 sure sure JJ 39713 6854 13 not not RB 39713 6854 14 to to TO 39713 6854 15 meet meet VB 39713 6854 16 contradictions contradiction NNS 39713 6854 17 , , , 39713 6854 18 on on IN 39713 6854 19 condition condition NN 39713 6854 20 of of IN 39713 6854 21 agreeing agree VBG 39713 6854 22 to to TO 39713 6854 23 stop stop VB 39713 6854 24 just just RB 39713 6854 25 when when WRB 39713 6854 26 we -PRON- PRP 39713 6854 27 are be VBP 39713 6854 28 about about JJ 39713 6854 29 to to TO 39713 6854 30 encounter encounter VB 39713 6854 31 one one CD 39713 6854 32 ? ? . 39713 6855 1 To to TO 39713 6855 2 state state VB 39713 6855 3 such such PDT 39713 6855 4 a a DT 39713 6855 5 proposition proposition NN 39713 6855 6 is be VBZ 39713 6855 7 enough enough JJ 39713 6855 8 to to TO 39713 6855 9 condemn condemn VB 39713 6855 10 it -PRON- PRP 39713 6855 11 . . . 39713 6856 1 So so RB 39713 6856 2 , , , 39713 6856 3 Hilbert Hilbert NNP 39713 6856 4 's 's POS 39713 6856 5 reasoning reasoning NN 39713 6856 6 not not RB 39713 6856 7 only only RB 39713 6856 8 assumes assume VBZ 39713 6856 9 the the DT 39713 6856 10 principle principle NN 39713 6856 11 of of IN 39713 6856 12 induction induction NN 39713 6856 13 , , , 39713 6856 14 but but CC 39713 6856 15 it -PRON- PRP 39713 6856 16 supposes suppose VBZ 39713 6856 17 that that IN 39713 6856 18 this this DT 39713 6856 19 principle principle NN 39713 6856 20 is be VBZ 39713 6856 21 given give VBN 39713 6856 22 us -PRON- PRP 39713 6856 23 not not RB 39713 6856 24 as as IN 39713 6856 25 a a DT 39713 6856 26 simple simple JJ 39713 6856 27 definition definition NN 39713 6856 28 , , , 39713 6856 29 but but CC 39713 6856 30 as as IN 39713 6856 31 a a DT 39713 6856 32 synthetic synthetic JJ 39713 6856 33 judgment judgment NN 39713 6856 34 _ _ NNP 39713 6856 35 a a DT 39713 6856 36 priori priori FW 39713 6856 37 _ _ NNP 39713 6856 38 . . . 39713 6857 1 To to TO 39713 6857 2 sum sum VB 39713 6857 3 up up RP 39713 6857 4 : : : 39713 6857 5 A a DT 39713 6857 6 demonstration demonstration NN 39713 6857 7 is be VBZ 39713 6857 8 necessary necessary JJ 39713 6857 9 . . . 39713 6858 1 The the DT 39713 6858 2 only only JJ 39713 6858 3 demonstration demonstration NN 39713 6858 4 possible possible JJ 39713 6858 5 is be VBZ 39713 6858 6 the the DT 39713 6858 7 proof proof NN 39713 6858 8 by by IN 39713 6858 9 recurrence recurrence NN 39713 6858 10 . . . 39713 6859 1 This this DT 39713 6859 2 is be VBZ 39713 6859 3 legitimate legitimate JJ 39713 6859 4 only only RB 39713 6859 5 if if IN 39713 6859 6 we -PRON- PRP 39713 6859 7 admit admit VBP 39713 6859 8 the the DT 39713 6859 9 principle principle NN 39713 6859 10 of of IN 39713 6859 11 induction induction NN 39713 6859 12 and and CC 39713 6859 13 if if IN 39713 6859 14 we -PRON- PRP 39713 6859 15 regard regard VBP 39713 6859 16 it -PRON- PRP 39713 6859 17 not not RB 39713 6859 18 as as IN 39713 6859 19 a a DT 39713 6859 20 definition definition NN 39713 6859 21 but but CC 39713 6859 22 as as IN 39713 6859 23 a a DT 39713 6859 24 synthetic synthetic JJ 39713 6859 25 judgment judgment NN 39713 6859 26 . . . 39713 6860 1 V V NNP 39713 6860 2 _ _ NNP 39713 6860 3 The the DT 39713 6860 4 Cantor Cantor NNP 39713 6860 5 Antinomies Antinomies NNPS 39713 6860 6 _ _ NNP 39713 6860 7 Now now RB 39713 6860 8 to to TO 39713 6860 9 examine examine VB 39713 6860 10 Russell Russell NNP 39713 6860 11 's 's POS 39713 6860 12 new new JJ 39713 6860 13 memoir memoir NN 39713 6860 14 . . . 39713 6861 1 This this DT 39713 6861 2 memoir memoir NN 39713 6861 3 was be VBD 39713 6861 4 written write VBN 39713 6861 5 with with IN 39713 6861 6 the the DT 39713 6861 7 view view NN 39713 6861 8 to to TO 39713 6861 9 conquer conquer VB 39713 6861 10 the the DT 39713 6861 11 difficulties difficulty NNS 39713 6861 12 raised raise VBN 39713 6861 13 by by IN 39713 6861 14 those those DT 39713 6861 15 Cantor Cantor NNP 39713 6861 16 antinomies antinomy NNS 39713 6861 17 to to TO 39713 6861 18 which which WDT 39713 6861 19 frequent frequent JJ 39713 6861 20 allusion allusion NN 39713 6861 21 has have VBZ 39713 6861 22 already already RB 39713 6861 23 been be VBN 39713 6861 24 made make VBN 39713 6861 25 . . . 39713 6862 1 Cantor Cantor NNP 39713 6862 2 thought think VBD 39713 6862 3 he -PRON- PRP 39713 6862 4 could could MD 39713 6862 5 construct construct VB 39713 6862 6 a a DT 39713 6862 7 science science NN 39713 6862 8 of of IN 39713 6862 9 the the DT 39713 6862 10 infinite infinite NN 39713 6862 11 ; ; : 39713 6862 12 others other NNS 39713 6862 13 went go VBD 39713 6862 14 on on RP 39713 6862 15 in in IN 39713 6862 16 the the DT 39713 6862 17 way way NN 39713 6862 18 he -PRON- PRP 39713 6862 19 opened open VBD 39713 6862 20 , , , 39713 6862 21 but but CC 39713 6862 22 they -PRON- PRP 39713 6862 23 soon soon RB 39713 6862 24 ran run VBD 39713 6862 25 foul foul RB 39713 6862 26 of of IN 39713 6862 27 strange strange JJ 39713 6862 28 contradictions contradiction NNS 39713 6862 29 . . . 39713 6863 1 These these DT 39713 6863 2 antinomies antinomy NNS 39713 6863 3 are be VBP 39713 6863 4 already already RB 39713 6863 5 numerous numerous JJ 39713 6863 6 , , , 39713 6863 7 but but CC 39713 6863 8 the the DT 39713 6863 9 most most RBS 39713 6863 10 celebrated celebrated JJ 39713 6863 11 are be VBP 39713 6863 12 : : : 39713 6863 13 1 1 LS 39713 6863 14 . . . 39713 6864 1 The the DT 39713 6864 2 Burali Burali NNP 39713 6864 3 - - HYPH 39713 6864 4 Forti Forti NNP 39713 6864 5 antinomy antinomy NN 39713 6864 6 ; ; : 39713 6864 7 2 2 CD 39713 6864 8 . . . 39713 6865 1 The the DT 39713 6865 2 Zermelo Zermelo NNP 39713 6865 3 - - HYPH 39713 6865 4 König König NNP 39713 6865 5 antinomy antinomy NN 39713 6865 6 ; ; : 39713 6865 7 3 3 CD 39713 6865 8 . . . 39713 6866 1 The the DT 39713 6866 2 Richard Richard NNP 39713 6866 3 antinomy antinomy NN 39713 6866 4 . . . 39713 6867 1 Cantor Cantor NNP 39713 6867 2 proved prove VBD 39713 6867 3 that that IN 39713 6867 4 the the DT 39713 6867 5 ordinal ordinal JJ 39713 6867 6 numbers number NNS 39713 6867 7 ( ( -LRB- 39713 6867 8 the the DT 39713 6867 9 question question NN 39713 6867 10 is be VBZ 39713 6867 11 of of IN 39713 6867 12 transfinite transfinite JJ 39713 6867 13 ordinal ordinal JJ 39713 6867 14 numbers number NNS 39713 6867 15 , , , 39713 6867 16 a a DT 39713 6867 17 new new JJ 39713 6867 18 notion notion NN 39713 6867 19 introduced introduce VBN 39713 6867 20 by by IN 39713 6867 21 him -PRON- PRP 39713 6867 22 ) ) -RRB- 39713 6867 23 can can MD 39713 6867 24 be be VB 39713 6867 25 ranged range VBN 39713 6867 26 in in IN 39713 6867 27 a a DT 39713 6867 28 linear linear JJ 39713 6867 29 series series NN 39713 6867 30 ; ; : 39713 6867 31 that that DT 39713 6867 32 is be VBZ 39713 6867 33 to to TO 39713 6867 34 say say VB 39713 6867 35 that that DT 39713 6867 36 of of IN 39713 6867 37 two two CD 39713 6867 38 unequal unequal JJ 39713 6867 39 ordinals ordinal NNS 39713 6867 40 one one CD 39713 6867 41 is be VBZ 39713 6867 42 always always RB 39713 6867 43 less less JJR 39713 6867 44 than than IN 39713 6867 45 the the DT 39713 6867 46 other other JJ 39713 6867 47 . . . 39713 6868 1 Burali Burali NNP 39713 6868 2 - - HYPH 39713 6868 3 Forti Forti NNP 39713 6868 4 proves prove VBZ 39713 6868 5 the the DT 39713 6868 6 contrary contrary NN 39713 6868 7 ; ; : 39713 6868 8 and and CC 39713 6868 9 in in IN 39713 6868 10 fact fact NN 39713 6868 11 he -PRON- PRP 39713 6868 12 says say VBZ 39713 6868 13 in in IN 39713 6868 14 substance substance NN 39713 6868 15 that that IN 39713 6868 16 if if IN 39713 6868 17 one one PRP 39713 6868 18 could could MD 39713 6868 19 range range VB 39713 6868 20 _ _ NNP 39713 6868 21 all all DT 39713 6868 22 _ _ NNP 39713 6868 23 the the DT 39713 6868 24 ordinals ordinal NNS 39713 6868 25 in in IN 39713 6868 26 a a DT 39713 6868 27 linear linear JJ 39713 6868 28 series series NN 39713 6868 29 , , , 39713 6868 30 this this DT 39713 6868 31 series series NN 39713 6868 32 would would MD 39713 6868 33 define define VB 39713 6868 34 an an DT 39713 6868 35 ordinal ordinal JJ 39713 6868 36 greater great JJR 39713 6868 37 than than IN 39713 6868 38 _ _ NNP 39713 6868 39 all all DT 39713 6868 40 _ _ NNP 39713 6868 41 the the DT 39713 6868 42 others other NNS 39713 6868 43 ; ; : 39713 6868 44 we -PRON- PRP 39713 6868 45 could could MD 39713 6868 46 afterwards afterwards RB 39713 6868 47 adjoin adjoin VB 39713 6868 48 1 1 CD 39713 6868 49 and and CC 39713 6868 50 would would MD 39713 6868 51 obtain obtain VB 39713 6868 52 again again RB 39713 6868 53 an an DT 39713 6868 54 ordinal ordinal JJ 39713 6868 55 which which WDT 39713 6868 56 would would MD 39713 6868 57 be be VB 39713 6868 58 _ _ NNP 39713 6868 59 still still RB 39713 6868 60 greater great JJR 39713 6868 61 _ _ NNP 39713 6868 62 , , , 39713 6868 63 and and CC 39713 6868 64 this this DT 39713 6868 65 is be VBZ 39713 6868 66 contradictory contradictory JJ 39713 6868 67 . . . 39713 6869 1 We -PRON- PRP 39713 6869 2 shall shall MD 39713 6869 3 return return VB 39713 6869 4 later later RB 39713 6869 5 to to IN 39713 6869 6 the the DT 39713 6869 7 Zermelo Zermelo NNP 39713 6869 8 - - HYPH 39713 6869 9 König König NNP 39713 6869 10 antinomy antinomy NN 39713 6869 11 which which WDT 39713 6869 12 is be VBZ 39713 6869 13 of of IN 39713 6869 14 a a DT 39713 6869 15 slightly slightly RB 39713 6869 16 different different JJ 39713 6869 17 nature nature NN 39713 6869 18 . . . 39713 6870 1 The the DT 39713 6870 2 Richard Richard NNP 39713 6870 3 antinomy[15 antinomy[15 NNP 39713 6870 4 ] ] -RRB- 39713 6870 5 is be VBZ 39713 6870 6 as as IN 39713 6870 7 follows follow VBZ 39713 6870 8 : : : 39713 6870 9 Consider consider VB 39713 6870 10 all all PDT 39713 6870 11 the the DT 39713 6870 12 decimal decimal JJ 39713 6870 13 numbers number NNS 39713 6870 14 definable definable JJ 39713 6870 15 by by IN 39713 6870 16 a a DT 39713 6870 17 finite finite JJ 39713 6870 18 number number NN 39713 6870 19 of of IN 39713 6870 20 words word NNS 39713 6870 21 ; ; : 39713 6870 22 these these DT 39713 6870 23 decimal decimal JJ 39713 6870 24 numbers number NNS 39713 6870 25 form form VBP 39713 6870 26 an an DT 39713 6870 27 aggregate aggregate NN 39713 6870 28 _ _ NNP 39713 6870 29 E E NNP 39713 6870 30 _ _ NNP 39713 6870 31 , , , 39713 6870 32 and and CC 39713 6870 33 it -PRON- PRP 39713 6870 34 is be VBZ 39713 6870 35 easy easy JJ 39713 6870 36 to to TO 39713 6870 37 see see VB 39713 6870 38 that that IN 39713 6870 39 this this DT 39713 6870 40 aggregate aggregate NN 39713 6870 41 is be VBZ 39713 6870 42 countable countable JJ 39713 6870 43 , , , 39713 6870 44 that that DT 39713 6870 45 is be VBZ 39713 6870 46 to to TO 39713 6870 47 say say VB 39713 6870 48 we -PRON- PRP 39713 6870 49 can can MD 39713 6870 50 _ _ VB 39713 6870 51 number number NN 39713 6870 52 _ _ IN 39713 6870 53 the the DT 39713 6870 54 different different JJ 39713 6870 55 decimal decimal JJ 39713 6870 56 numbers number NNS 39713 6870 57 of of IN 39713 6870 58 this this DT 39713 6870 59 assemblage assemblage NN 39713 6870 60 from from IN 39713 6870 61 1 1 CD 39713 6870 62 to to IN 39713 6870 63 infinity infinity NN 39713 6870 64 . . . 39713 6871 1 Suppose suppose VB 39713 6871 2 the the DT 39713 6871 3 numbering numbering JJ 39713 6871 4 effected effect VBN 39713 6871 5 , , , 39713 6871 6 and and CC 39713 6871 7 define define VB 39713 6871 8 a a DT 39713 6871 9 number number NN 39713 6871 10 _ _ NNP 39713 6871 11 N N NNP 39713 6871 12 _ _ NNP 39713 6871 13 as as IN 39713 6871 14 follows follow VBZ 39713 6871 15 : : : 39713 6871 16 If if IN 39713 6871 17 the the DT 39713 6871 18 _ _ NNP 39713 6871 19 n_th n_th NNP 39713 6871 20 decimal decimal JJ 39713 6871 21 of of IN 39713 6871 22 the the DT 39713 6871 23 _ _ NNP 39713 6871 24 n_th n_th NNP 39713 6871 25 number number NN 39713 6871 26 of of IN 39713 6871 27 the the DT 39713 6871 28 assemblage assemblage NN 39713 6871 29 _ _ NNP 39713 6871 30 E E NNP 39713 6871 31 _ _ NNP 39713 6871 32 is be VBZ 39713 6871 33 0 0 CD 39713 6871 34 , , , 39713 6871 35 1 1 CD 39713 6871 36 , , , 39713 6871 37 2 2 CD 39713 6871 38 , , , 39713 6871 39 3 3 CD 39713 6871 40 , , , 39713 6871 41 4 4 CD 39713 6871 42 , , , 39713 6871 43 5 5 CD 39713 6871 44 , , , 39713 6871 45 6 6 CD 39713 6871 46 , , , 39713 6871 47 7 7 CD 39713 6871 48 , , , 39713 6871 49 8 8 CD 39713 6871 50 , , , 39713 6871 51 9 9 CD 39713 6871 52 the the DT 39713 6871 53 _ _ NNP 39713 6871 54 n_th n_th NNP 39713 6871 55 decimal decimal JJ 39713 6871 56 of of IN 39713 6871 57 _ _ NNP 39713 6871 58 N N NNP 39713 6871 59 _ _ NNP 39713 6871 60 shall shall MD 39713 6871 61 be be VB 39713 6871 62 : : : 39713 6871 63 1 1 CD 39713 6871 64 , , , 39713 6871 65 2 2 CD 39713 6871 66 , , , 39713 6871 67 3 3 CD 39713 6871 68 , , , 39713 6871 69 4 4 CD 39713 6871 70 , , , 39713 6871 71 5 5 CD 39713 6871 72 , , , 39713 6871 73 6 6 CD 39713 6871 74 , , , 39713 6871 75 7 7 CD 39713 6871 76 , , , 39713 6871 77 8 8 CD 39713 6871 78 , , , 39713 6871 79 1 1 CD 39713 6871 80 , , , 39713 6871 81 1 1 CD 39713 6871 82 [ [ -LRB- 39713 6871 83 15 15 CD 39713 6871 84 ] ] -RRB- 39713 6871 85 _ _ NNP 39713 6871 86 Revue Revue NNP 39713 6871 87 générale générale NN 39713 6871 88 des des NNP 39713 6871 89 sciences science NNS 39713 6871 90 _ _ NNP 39713 6871 91 , , , 39713 6871 92 June June NNP 39713 6871 93 30 30 CD 39713 6871 94 , , , 39713 6871 95 1905 1905 CD 39713 6871 96 . . . 39713 6872 1 As as IN 39713 6872 2 we -PRON- PRP 39713 6872 3 see see VBP 39713 6872 4 , , , 39713 6872 5 _ _ NNP 39713 6872 6 N N NNP 39713 6872 7 _ _ NNP 39713 6872 8 is be VBZ 39713 6872 9 not not RB 39713 6872 10 equal equal JJ 39713 6872 11 to to IN 39713 6872 12 the the DT 39713 6872 13 _ _ NNP 39713 6872 14 n_th n_th NNP 39713 6872 15 number number NN 39713 6872 16 of of IN 39713 6872 17 _ _ NNP 39713 6872 18 E E NNP 39713 6872 19 _ _ NNP 39713 6872 20 , , , 39713 6872 21 and and CC 39713 6872 22 as as IN 39713 6872 23 _ _ NNP 39713 6872 24 n n CC 39713 6872 25 _ _ NNP 39713 6872 26 is be VBZ 39713 6872 27 arbitrary arbitrary JJ 39713 6872 28 , , , 39713 6872 29 _ _ NNP 39713 6872 30 N N NNP 39713 6872 31 _ _ NNP 39713 6872 32 does do VBZ 39713 6872 33 not not RB 39713 6872 34 appertain appertain VB 39713 6872 35 to to IN 39713 6872 36 _ _ NNP 39713 6872 37 E E NNP 39713 6872 38 _ _ NNP 39713 6872 39 and and CC 39713 6872 40 yet yet RB 39713 6872 41 _ _ NNP 39713 6872 42 N N NNP 39713 6872 43 _ _ NNP 39713 6872 44 should should MD 39713 6872 45 belong belong VB 39713 6872 46 to to IN 39713 6872 47 this this DT 39713 6872 48 assemblage assemblage NN 39713 6872 49 since since IN 39713 6872 50 we -PRON- PRP 39713 6872 51 have have VBP 39713 6872 52 defined define VBN 39713 6872 53 it -PRON- PRP 39713 6872 54 with with IN 39713 6872 55 a a DT 39713 6872 56 finite finite JJ 39713 6872 57 number number NN 39713 6872 58 of of IN 39713 6872 59 words word NNS 39713 6872 60 . . . 39713 6873 1 We -PRON- PRP 39713 6873 2 shall shall MD 39713 6873 3 later later RB 39713 6873 4 see see VB 39713 6873 5 that that IN 39713 6873 6 M. M. NNP 39713 6873 7 Richard Richard NNP 39713 6873 8 has have VBZ 39713 6873 9 himself -PRON- PRP 39713 6873 10 given give VBN 39713 6873 11 with with IN 39713 6873 12 much much JJ 39713 6873 13 sagacity sagacity NN 39713 6873 14 the the DT 39713 6873 15 explanation explanation NN 39713 6873 16 of of IN 39713 6873 17 his -PRON- PRP$ 39713 6873 18 paradox paradox NN 39713 6873 19 and and CC 39713 6873 20 that that IN 39713 6873 21 this this DT 39713 6873 22 extends extend VBZ 39713 6873 23 , , , 39713 6873 24 _ _ NNP 39713 6873 25 mutatis mutatis NN 39713 6873 26 mutandis mutandis NN 39713 6873 27 _ _ NNP 39713 6873 28 , , , 39713 6873 29 to to IN 39713 6873 30 the the DT 39713 6873 31 other other JJ 39713 6873 32 like like IN 39713 6873 33 paradoxes paradox NNS 39713 6873 34 . . . 39713 6874 1 Again again RB 39713 6874 2 , , , 39713 6874 3 Russell Russell NNP 39713 6874 4 cites cite VBZ 39713 6874 5 another another DT 39713 6874 6 quite quite RB 39713 6874 7 amusing amusing JJ 39713 6874 8 paradox paradox NN 39713 6874 9 : : : 39713 6874 10 _ _ NNP 39713 6874 11 What what WP 39713 6874 12 is be VBZ 39713 6874 13 the the DT 39713 6874 14 least least JJS 39713 6874 15 whole whole JJ 39713 6874 16 number number NN 39713 6874 17 which which WDT 39713 6874 18 can can MD 39713 6874 19 not not RB 39713 6874 20 be be VB 39713 6874 21 defined define VBN 39713 6874 22 by by IN 39713 6874 23 a a DT 39713 6874 24 phrase phrase NN 39713 6874 25 composed compose VBN 39713 6874 26 of of IN 39713 6874 27 less less JJR 39713 6874 28 than than IN 39713 6874 29 a a DT 39713 6874 30 hundred hundred CD 39713 6874 31 English English NNP 39713 6874 32 words word NNS 39713 6874 33 _ _ NNP 39713 6874 34 ? ? . 39713 6875 1 This this DT 39713 6875 2 number number NN 39713 6875 3 exists exist VBZ 39713 6875 4 ; ; : 39713 6875 5 and and CC 39713 6875 6 in in IN 39713 6875 7 fact fact NN 39713 6875 8 the the DT 39713 6875 9 numbers number NNS 39713 6875 10 capable capable JJ 39713 6875 11 of of IN 39713 6875 12 being be VBG 39713 6875 13 defined define VBN 39713 6875 14 by by IN 39713 6875 15 a a DT 39713 6875 16 like like JJ 39713 6875 17 phrase phrase NN 39713 6875 18 are be VBP 39713 6875 19 evidently evidently RB 39713 6875 20 finite finite JJ 39713 6875 21 in in IN 39713 6875 22 number number NN 39713 6875 23 since since IN 39713 6875 24 the the DT 39713 6875 25 words word NNS 39713 6875 26 of of IN 39713 6875 27 the the DT 39713 6875 28 English english JJ 39713 6875 29 language language NN 39713 6875 30 are be VBP 39713 6875 31 not not RB 39713 6875 32 infinite infinite JJ 39713 6875 33 in in IN 39713 6875 34 number number NN 39713 6875 35 . . . 39713 6876 1 Therefore therefore RB 39713 6876 2 among among IN 39713 6876 3 them -PRON- PRP 39713 6876 4 will will MD 39713 6876 5 be be VB 39713 6876 6 one one CD 39713 6876 7 less less JJR 39713 6876 8 than than IN 39713 6876 9 all all PDT 39713 6876 10 the the DT 39713 6876 11 others other NNS 39713 6876 12 . . . 39713 6877 1 And and CC 39713 6877 2 , , , 39713 6877 3 on on IN 39713 6877 4 the the DT 39713 6877 5 other other JJ 39713 6877 6 hand hand NN 39713 6877 7 , , , 39713 6877 8 this this DT 39713 6877 9 number number NN 39713 6877 10 does do VBZ 39713 6877 11 not not RB 39713 6877 12 exist exist VB 39713 6877 13 , , , 39713 6877 14 because because IN 39713 6877 15 its -PRON- PRP$ 39713 6877 16 definition definition NN 39713 6877 17 implies imply VBZ 39713 6877 18 contradiction contradiction NN 39713 6877 19 . . . 39713 6878 1 This this DT 39713 6878 2 number number NN 39713 6878 3 , , , 39713 6878 4 in in IN 39713 6878 5 fact fact NN 39713 6878 6 , , , 39713 6878 7 is be VBZ 39713 6878 8 defined define VBN 39713 6878 9 by by IN 39713 6878 10 the the DT 39713 6878 11 phrase phrase NN 39713 6878 12 in in IN 39713 6878 13 italics italic NNS 39713 6878 14 which which WDT 39713 6878 15 is be VBZ 39713 6878 16 composed compose VBN 39713 6878 17 of of IN 39713 6878 18 less less JJR 39713 6878 19 than than IN 39713 6878 20 a a DT 39713 6878 21 hundred hundred CD 39713 6878 22 English english JJ 39713 6878 23 words word NNS 39713 6878 24 ; ; : 39713 6878 25 and and CC 39713 6878 26 by by IN 39713 6878 27 definition definition NN 39713 6878 28 this this DT 39713 6878 29 number number NN 39713 6878 30 should should MD 39713 6878 31 not not RB 39713 6878 32 be be VB 39713 6878 33 capable capable JJ 39713 6878 34 of of IN 39713 6878 35 definition definition NN 39713 6878 36 by by IN 39713 6878 37 a a DT 39713 6878 38 like like JJ 39713 6878 39 phrase phrase NN 39713 6878 40 . . . 39713 6879 1 VI VI NNP 39713 6879 2 _ _ NNP 39713 6879 3 Zigzag Zigzag NNP 39713 6879 4 Theory Theory NNP 39713 6879 5 and and CC 39713 6879 6 No no DT 39713 6879 7 - - HYPH 39713 6879 8 class class NN 39713 6879 9 Theory theory NN 39713 6879 10 _ _ NNP 39713 6879 11 What what WP 39713 6879 12 is be VBZ 39713 6879 13 Mr. Mr. NNP 39713 6879 14 Russell Russell NNP 39713 6879 15 's 's POS 39713 6879 16 attitude attitude NN 39713 6879 17 in in IN 39713 6879 18 presence presence NN 39713 6879 19 of of IN 39713 6879 20 these these DT 39713 6879 21 contradictions contradiction NNS 39713 6879 22 ? ? . 39713 6880 1 After after IN 39713 6880 2 having have VBG 39713 6880 3 analyzed analyze VBN 39713 6880 4 those those DT 39713 6880 5 of of IN 39713 6880 6 which which WDT 39713 6880 7 we -PRON- PRP 39713 6880 8 have have VBP 39713 6880 9 just just RB 39713 6880 10 spoken speak VBN 39713 6880 11 , , , 39713 6880 12 and and CC 39713 6880 13 cited cite VBD 39713 6880 14 still still RB 39713 6880 15 others other NNS 39713 6880 16 , , , 39713 6880 17 after after IN 39713 6880 18 having have VBG 39713 6880 19 given give VBN 39713 6880 20 them -PRON- PRP 39713 6880 21 a a DT 39713 6880 22 form form NN 39713 6880 23 recalling recall VBG 39713 6880 24 Epimenides Epimenides NNP 39713 6880 25 , , , 39713 6880 26 he -PRON- PRP 39713 6880 27 does do VBZ 39713 6880 28 not not RB 39713 6880 29 hesitate hesitate VB 39713 6880 30 to to TO 39713 6880 31 conclude conclude VB 39713 6880 32 : : : 39713 6880 33 " " `` 39713 6880 34 A a DT 39713 6880 35 propositional propositional JJ 39713 6880 36 function function NN 39713 6880 37 of of IN 39713 6880 38 one one CD 39713 6880 39 variable variable NN 39713 6880 40 does do VBZ 39713 6880 41 not not RB 39713 6880 42 always always RB 39713 6880 43 determine determine VB 39713 6880 44 a a DT 39713 6880 45 class class NN 39713 6880 46 . . . 39713 6880 47 " " '' 39713 6881 1 A a DT 39713 6881 2 propositional propositional JJ 39713 6881 3 function function NN 39713 6881 4 ( ( -LRB- 39713 6881 5 that that DT 39713 6881 6 is be VBZ 39713 6881 7 to to TO 39713 6881 8 say say VB 39713 6881 9 a a DT 39713 6881 10 definition definition NN 39713 6881 11 ) ) -RRB- 39713 6881 12 does do VBZ 39713 6881 13 not not RB 39713 6881 14 always always RB 39713 6881 15 determine determine VB 39713 6881 16 a a DT 39713 6881 17 class class NN 39713 6881 18 . . . 39713 6882 1 A a DT 39713 6882 2 ' ' `` 39713 6882 3 propositional propositional JJ 39713 6882 4 function function NN 39713 6882 5 ' ' '' 39713 6882 6 or or CC 39713 6882 7 ' ' `` 39713 6882 8 norm norm NN 39713 6882 9 ' ' '' 39713 6882 10 may may MD 39713 6882 11 be be VB 39713 6882 12 ' ' `` 39713 6882 13 non non JJ 39713 6882 14 - - JJ 39713 6882 15 predicative predicative JJ 39713 6882 16 . . . 39713 6882 17 ' ' '' 39713 6883 1 And and CC 39713 6883 2 this this DT 39713 6883 3 does do VBZ 39713 6883 4 not not RB 39713 6883 5 mean mean VB 39713 6883 6 that that IN 39713 6883 7 these these DT 39713 6883 8 non non JJ 39713 6883 9 - - JJ 39713 6883 10 predicative predicative JJ 39713 6883 11 propositions proposition NNS 39713 6883 12 determine determine VBP 39713 6883 13 an an DT 39713 6883 14 empty empty JJ 39713 6883 15 class class NN 39713 6883 16 , , , 39713 6883 17 a a DT 39713 6883 18 null null JJ 39713 6883 19 class class NN 39713 6883 20 ; ; : 39713 6883 21 this this DT 39713 6883 22 does do VBZ 39713 6883 23 not not RB 39713 6883 24 mean mean VB 39713 6883 25 that that IN 39713 6883 26 there there EX 39713 6883 27 is be VBZ 39713 6883 28 no no DT 39713 6883 29 value value NN 39713 6883 30 of of IN 39713 6883 31 x x NNS 39713 6883 32 satisfying satisfy VBG 39713 6883 33 the the DT 39713 6883 34 definition definition NN 39713 6883 35 and and CC 39713 6883 36 capable capable JJ 39713 6883 37 of of IN 39713 6883 38 being be VBG 39713 6883 39 one one CD 39713 6883 40 of of IN 39713 6883 41 the the DT 39713 6883 42 elements element NNS 39713 6883 43 of of IN 39713 6883 44 the the DT 39713 6883 45 class class NN 39713 6883 46 . . . 39713 6884 1 The the DT 39713 6884 2 elements element NNS 39713 6884 3 exist exist VBP 39713 6884 4 , , , 39713 6884 5 but but CC 39713 6884 6 they -PRON- PRP 39713 6884 7 have have VBP 39713 6884 8 no no DT 39713 6884 9 right right NN 39713 6884 10 to to TO 39713 6884 11 unite unite VB 39713 6884 12 in in IN 39713 6884 13 a a DT 39713 6884 14 syndicate syndicate NN 39713 6884 15 to to TO 39713 6884 16 form form VB 39713 6884 17 a a DT 39713 6884 18 class class NN 39713 6884 19 . . . 39713 6885 1 But but CC 39713 6885 2 this this DT 39713 6885 3 is be VBZ 39713 6885 4 only only RB 39713 6885 5 the the DT 39713 6885 6 beginning beginning NN 39713 6885 7 and and CC 39713 6885 8 it -PRON- PRP 39713 6885 9 is be VBZ 39713 6885 10 needful needful JJ 39713 6885 11 to to TO 39713 6885 12 know know VB 39713 6885 13 how how WRB 39713 6885 14 to to TO 39713 6885 15 recognize recognize VB 39713 6885 16 whether whether IN 39713 6885 17 a a DT 39713 6885 18 definition definition NN 39713 6885 19 is be VBZ 39713 6885 20 or or CC 39713 6885 21 is be VBZ 39713 6885 22 not not RB 39713 6885 23 predicative predicative JJ 39713 6885 24 . . . 39713 6886 1 To to TO 39713 6886 2 solve solve VB 39713 6886 3 this this DT 39713 6886 4 problem problem NN 39713 6886 5 Russell Russell NNP 39713 6886 6 hesitates hesitate VBZ 39713 6886 7 between between IN 39713 6886 8 three three CD 39713 6886 9 theories theory NNS 39713 6886 10 which which WDT 39713 6886 11 he -PRON- PRP 39713 6886 12 calls call VBZ 39713 6886 13 A. a. NN 39713 6887 1 The the DT 39713 6887 2 zigzag zigzag NN 39713 6887 3 theory theory NN 39713 6887 4 ; ; : 39713 6887 5 B. B. NNP 39713 6888 1 The the DT 39713 6888 2 theory theory NN 39713 6888 3 of of IN 39713 6888 4 limitation limitation NN 39713 6888 5 of of IN 39713 6888 6 size size NN 39713 6888 7 ; ; : 39713 6888 8 C. C. NNP 39713 6888 9 The the DT 39713 6888 10 no no DT 39713 6888 11 - - HYPH 39713 6888 12 class class NN 39713 6888 13 theory theory NN 39713 6888 14 . . . 39713 6889 1 According accord VBG 39713 6889 2 to to IN 39713 6889 3 the the DT 39713 6889 4 zigzag zigzag NNP 39713 6889 5 theory theory NN 39713 6889 6 " " '' 39713 6889 7 definitions definition NNS 39713 6889 8 ( ( -LRB- 39713 6889 9 propositional propositional JJ 39713 6889 10 functions function NNS 39713 6889 11 ) ) -RRB- 39713 6889 12 determine determine VBP 39713 6889 13 a a DT 39713 6889 14 class class NN 39713 6889 15 when when WRB 39713 6889 16 they -PRON- PRP 39713 6889 17 are be VBP 39713 6889 18 very very RB 39713 6889 19 simple simple JJ 39713 6889 20 and and CC 39713 6889 21 cease cease VB 39713 6889 22 to to TO 39713 6889 23 do do VB 39713 6889 24 so so RB 39713 6889 25 only only RB 39713 6889 26 when when WRB 39713 6889 27 they -PRON- PRP 39713 6889 28 are be VBP 39713 6889 29 complicated complicated JJ 39713 6889 30 and and CC 39713 6889 31 obscure obscure JJ 39713 6889 32 . . . 39713 6889 33 " " '' 39713 6890 1 Who who WP 39713 6890 2 , , , 39713 6890 3 now now RB 39713 6890 4 , , , 39713 6890 5 is be VBZ 39713 6890 6 to to TO 39713 6890 7 decide decide VB 39713 6890 8 whether whether IN 39713 6890 9 a a DT 39713 6890 10 definition definition NN 39713 6890 11 may may MD 39713 6890 12 be be VB 39713 6890 13 regarded regard VBN 39713 6890 14 as as IN 39713 6890 15 simple simple JJ 39713 6890 16 enough enough RB 39713 6890 17 to to TO 39713 6890 18 be be VB 39713 6890 19 acceptable acceptable JJ 39713 6890 20 ? ? . 39713 6891 1 To to IN 39713 6891 2 this this DT 39713 6891 3 question question NN 39713 6891 4 there there EX 39713 6891 5 is be VBZ 39713 6891 6 no no DT 39713 6891 7 answer answer NN 39713 6891 8 , , , 39713 6891 9 if if IN 39713 6891 10 it -PRON- PRP 39713 6891 11 be be VBP 39713 6891 12 not not RB 39713 6891 13 the the DT 39713 6891 14 loyal loyal JJ 39713 6891 15 avowal avowal NN 39713 6891 16 of of IN 39713 6891 17 a a DT 39713 6891 18 complete complete JJ 39713 6891 19 inability inability NN 39713 6891 20 : : : 39713 6891 21 " " `` 39713 6891 22 The the DT 39713 6891 23 rules rule NNS 39713 6891 24 which which WDT 39713 6891 25 enable enable VBP 39713 6891 26 us -PRON- PRP 39713 6891 27 to to TO 39713 6891 28 recognize recognize VB 39713 6891 29 whether whether IN 39713 6891 30 these these DT 39713 6891 31 definitions definition NNS 39713 6891 32 are be VBP 39713 6891 33 predicative predicative JJ 39713 6891 34 would would MD 39713 6891 35 be be VB 39713 6891 36 extremely extremely RB 39713 6891 37 complicated complicated JJ 39713 6891 38 and and CC 39713 6891 39 can can MD 39713 6891 40 not not RB 39713 6891 41 commend commend VB 39713 6891 42 themselves -PRON- PRP 39713 6891 43 by by IN 39713 6891 44 any any DT 39713 6891 45 plausible plausible JJ 39713 6891 46 reason reason NN 39713 6891 47 . . . 39713 6892 1 This this DT 39713 6892 2 is be VBZ 39713 6892 3 a a DT 39713 6892 4 fault fault NN 39713 6892 5 which which WDT 39713 6892 6 might may MD 39713 6892 7 be be VB 39713 6892 8 remedied remedie VBN 39713 6892 9 by by IN 39713 6892 10 greater great JJR 39713 6892 11 ingenuity ingenuity NN 39713 6892 12 or or CC 39713 6892 13 by by IN 39713 6892 14 using use VBG 39713 6892 15 distinctions distinction NNS 39713 6892 16 not not RB 39713 6892 17 yet yet RB 39713 6892 18 pointed point VBN 39713 6892 19 out out RP 39713 6892 20 . . . 39713 6893 1 But but CC 39713 6893 2 hitherto hitherto VBN 39713 6893 3 in in IN 39713 6893 4 seeking seek VBG 39713 6893 5 these these DT 39713 6893 6 rules rule NNS 39713 6893 7 , , , 39713 6893 8 I -PRON- PRP 39713 6893 9 have have VBP 39713 6893 10 not not RB 39713 6893 11 been be VBN 39713 6893 12 able able JJ 39713 6893 13 to to TO 39713 6893 14 find find VB 39713 6893 15 any any DT 39713 6893 16 other other JJ 39713 6893 17 directing direct VBG 39713 6893 18 principle principle NN 39713 6893 19 than than IN 39713 6893 20 the the DT 39713 6893 21 absence absence NN 39713 6893 22 of of IN 39713 6893 23 contradiction contradiction NN 39713 6893 24 . . . 39713 6893 25 " " '' 39713 6894 1 This this DT 39713 6894 2 theory theory NN 39713 6894 3 therefore therefore RB 39713 6894 4 remains remain VBZ 39713 6894 5 very very RB 39713 6894 6 obscure obscure JJ 39713 6894 7 ; ; : 39713 6894 8 in in IN 39713 6894 9 this this DT 39713 6894 10 night night NN 39713 6894 11 a a DT 39713 6894 12 single single JJ 39713 6894 13 light light NN 39713 6894 14 -- -- : 39713 6894 15 the the DT 39713 6894 16 word word NN 39713 6894 17 zigzag zigzag NNP 39713 6894 18 . . . 39713 6895 1 What what WP 39713 6895 2 Russell Russell NNP 39713 6895 3 calls call VBZ 39713 6895 4 the the DT 39713 6895 5 ' ' `` 39713 6895 6 zigzaginess zigzaginess NN 39713 6895 7 ' ' '' 39713 6895 8 is be VBZ 39713 6895 9 doubtless doubtless RB 39713 6895 10 the the DT 39713 6895 11 particular particular JJ 39713 6895 12 characteristic characteristic NN 39713 6895 13 which which WDT 39713 6895 14 distinguishes distinguish VBZ 39713 6895 15 the the DT 39713 6895 16 argument argument NN 39713 6895 17 of of IN 39713 6895 18 Epimenides Epimenides NNP 39713 6895 19 . . . 39713 6896 1 According accord VBG 39713 6896 2 to to IN 39713 6896 3 the the DT 39713 6896 4 theory theory NN 39713 6896 5 of of IN 39713 6896 6 limitation limitation NN 39713 6896 7 of of IN 39713 6896 8 size size NN 39713 6896 9 , , , 39713 6896 10 a a DT 39713 6896 11 class class NN 39713 6896 12 would would MD 39713 6896 13 cease cease VB 39713 6896 14 to to TO 39713 6896 15 have have VB 39713 6896 16 the the DT 39713 6896 17 right right NN 39713 6896 18 to to TO 39713 6896 19 exist exist VB 39713 6896 20 if if IN 39713 6896 21 it -PRON- PRP 39713 6896 22 were be VBD 39713 6896 23 too too RB 39713 6896 24 extended extended JJ 39713 6896 25 . . . 39713 6897 1 Perhaps perhaps RB 39713 6897 2 it -PRON- PRP 39713 6897 3 might may MD 39713 6897 4 be be VB 39713 6897 5 infinite infinite JJ 39713 6897 6 , , , 39713 6897 7 but but CC 39713 6897 8 it -PRON- PRP 39713 6897 9 should should MD 39713 6897 10 not not RB 39713 6897 11 be be VB 39713 6897 12 too too RB 39713 6897 13 much much JJ 39713 6897 14 so so RB 39713 6897 15 . . . 39713 6898 1 But but CC 39713 6898 2 we -PRON- PRP 39713 6898 3 always always RB 39713 6898 4 meet meet VBP 39713 6898 5 again again RB 39713 6898 6 the the DT 39713 6898 7 same same JJ 39713 6898 8 difficulty difficulty NN 39713 6898 9 ; ; : 39713 6898 10 at at IN 39713 6898 11 what what WDT 39713 6898 12 precise precise JJ 39713 6898 13 moment moment NN 39713 6898 14 does do VBZ 39713 6898 15 it -PRON- PRP 39713 6898 16 begin begin VB 39713 6898 17 to to TO 39713 6898 18 be be VB 39713 6898 19 too too RB 39713 6898 20 much much JJ 39713 6898 21 so so RB 39713 6898 22 ? ? . 39713 6899 1 Of of RB 39713 6899 2 course course RB 39713 6899 3 this this DT 39713 6899 4 difficulty difficulty NN 39713 6899 5 is be VBZ 39713 6899 6 not not RB 39713 6899 7 solved solve VBN 39713 6899 8 and and CC 39713 6899 9 Russell Russell NNP 39713 6899 10 passes pass VBZ 39713 6899 11 on on RP 39713 6899 12 to to IN 39713 6899 13 the the DT 39713 6899 14 third third JJ 39713 6899 15 theory theory NN 39713 6899 16 . . . 39713 6900 1 In in IN 39713 6900 2 the the DT 39713 6900 3 no no DT 39713 6900 4 - - HYPH 39713 6900 5 classes class NNS 39713 6900 6 theory theory NN 39713 6900 7 it -PRON- PRP 39713 6900 8 is be VBZ 39713 6900 9 forbidden forbid VBN 39713 6900 10 to to TO 39713 6900 11 speak speak VB 39713 6900 12 the the DT 39713 6900 13 word word NN 39713 6900 14 ' ' `` 39713 6900 15 class class NN 39713 6900 16 ' ' '' 39713 6900 17 and and CC 39713 6900 18 this this DT 39713 6900 19 word word NN 39713 6900 20 must must MD 39713 6900 21 be be VB 39713 6900 22 replaced replace VBN 39713 6900 23 by by IN 39713 6900 24 various various JJ 39713 6900 25 periphrases periphrasis NNS 39713 6900 26 . . . 39713 6901 1 What what WDT 39713 6901 2 a a DT 39713 6901 3 change change NN 39713 6901 4 for for IN 39713 6901 5 logistic logistic JJ 39713 6901 6 which which WDT 39713 6901 7 talks talk VBZ 39713 6901 8 only only RB 39713 6901 9 of of IN 39713 6901 10 classes class NNS 39713 6901 11 and and CC 39713 6901 12 classes class NNS 39713 6901 13 of of IN 39713 6901 14 classes class NNS 39713 6901 15 ! ! . 39713 6902 1 It -PRON- PRP 39713 6902 2 becomes become VBZ 39713 6902 3 necessary necessary JJ 39713 6902 4 to to TO 39713 6902 5 remake remake VB 39713 6902 6 the the DT 39713 6902 7 whole whole NN 39713 6902 8 of of IN 39713 6902 9 logistic logistic JJ 39713 6902 10 . . . 39713 6903 1 Imagine imagine VB 39713 6903 2 how how WRB 39713 6903 3 a a DT 39713 6903 4 page page NN 39713 6903 5 of of IN 39713 6903 6 logistic logistic NN 39713 6903 7 would would MD 39713 6903 8 look look VB 39713 6903 9 upon upon IN 39713 6903 10 suppressing suppress VBG 39713 6903 11 all all PDT 39713 6903 12 the the DT 39713 6903 13 propositions proposition NNS 39713 6903 14 where where WRB 39713 6903 15 it -PRON- PRP 39713 6903 16 is be VBZ 39713 6903 17 a a DT 39713 6903 18 question question NN 39713 6903 19 of of IN 39713 6903 20 class class NN 39713 6903 21 . . . 39713 6904 1 There there EX 39713 6904 2 would would MD 39713 6904 3 only only RB 39713 6904 4 be be VB 39713 6904 5 some some DT 39713 6904 6 scattered scatter VBN 39713 6904 7 survivors survivor NNS 39713 6904 8 in in IN 39713 6904 9 the the DT 39713 6904 10 midst midst NN 39713 6904 11 of of IN 39713 6904 12 a a DT 39713 6904 13 blank blank JJ 39713 6904 14 page page NN 39713 6904 15 . . . 39713 6905 1 _ _ NNP 39713 6905 2 Apparent apparent JJ 39713 6905 3 rari rari JJ 39713 6905 4 nantes nante NNS 39713 6905 5 in in IN 39713 6905 6 gurgite gurgite NNP 39713 6905 7 vasto vasto NN 39713 6905 8 . . . 39713 6905 9 _ _ NNP 39713 6905 10 Be be VB 39713 6905 11 that that IN 39713 6905 12 as as IN 39713 6905 13 it -PRON- PRP 39713 6905 14 may may MD 39713 6905 15 , , , 39713 6905 16 we -PRON- PRP 39713 6905 17 see see VBP 39713 6905 18 how how WRB 39713 6905 19 Russell Russell NNP 39713 6905 20 hesitates hesitate NNS 39713 6905 21 and and CC 39713 6905 22 the the DT 39713 6905 23 modifications modification NNS 39713 6905 24 to to TO 39713 6905 25 which which WDT 39713 6905 26 he -PRON- PRP 39713 6905 27 submits submit VBZ 39713 6905 28 the the DT 39713 6905 29 fundamental fundamental JJ 39713 6905 30 principles principle NNS 39713 6905 31 he -PRON- PRP 39713 6905 32 has have VBZ 39713 6905 33 hitherto hitherto VBN 39713 6905 34 adopted adopt VBN 39713 6905 35 . . . 39713 6906 1 Criteria criterion NNS 39713 6906 2 are be VBP 39713 6906 3 needed need VBN 39713 6906 4 to to TO 39713 6906 5 decide decide VB 39713 6906 6 whether whether IN 39713 6906 7 a a DT 39713 6906 8 definition definition NN 39713 6906 9 is be VBZ 39713 6906 10 too too RB 39713 6906 11 complex complex JJ 39713 6906 12 or or CC 39713 6906 13 too too RB 39713 6906 14 extended extended JJ 39713 6906 15 , , , 39713 6906 16 and and CC 39713 6906 17 these these DT 39713 6906 18 criteria criterion NNS 39713 6906 19 can can MD 39713 6906 20 only only RB 39713 6906 21 be be VB 39713 6906 22 justified justify VBN 39713 6906 23 by by IN 39713 6906 24 an an DT 39713 6906 25 appeal appeal NN 39713 6906 26 to to IN 39713 6906 27 intuition intuition NN 39713 6906 28 . . . 39713 6907 1 It -PRON- PRP 39713 6907 2 is be VBZ 39713 6907 3 toward toward IN 39713 6907 4 the the DT 39713 6907 5 no no DT 39713 6907 6 - - HYPH 39713 6907 7 classes class NNS 39713 6907 8 theory theory NN 39713 6907 9 that that IN 39713 6907 10 Russell Russell NNP 39713 6907 11 finally finally RB 39713 6907 12 inclines incline VBZ 39713 6907 13 . . . 39713 6908 1 Be be VB 39713 6908 2 that that DT 39713 6908 3 as as IN 39713 6908 4 it -PRON- PRP 39713 6908 5 may may MD 39713 6908 6 , , , 39713 6908 7 logistic logistic JJ 39713 6908 8 is be VBZ 39713 6908 9 to to TO 39713 6908 10 be be VB 39713 6908 11 remade remade NN 39713 6908 12 and and CC 39713 6908 13 it -PRON- PRP 39713 6908 14 is be VBZ 39713 6908 15 not not RB 39713 6908 16 clear clear JJ 39713 6908 17 how how WRB 39713 6908 18 much much JJ 39713 6908 19 of of IN 39713 6908 20 it -PRON- PRP 39713 6908 21 can can MD 39713 6908 22 be be VB 39713 6908 23 saved save VBN 39713 6908 24 . . . 39713 6909 1 Needless needless JJ 39713 6909 2 to to TO 39713 6909 3 add add VB 39713 6909 4 that that IN 39713 6909 5 Cantorism Cantorism NNP 39713 6909 6 and and CC 39713 6909 7 logistic logistic JJ 39713 6909 8 are be VBP 39713 6909 9 alone alone JJ 39713 6909 10 under under IN 39713 6909 11 consideration consideration NN 39713 6909 12 ; ; : 39713 6909 13 real real JJ 39713 6909 14 mathematics mathematic NNS 39713 6909 15 , , , 39713 6909 16 that that IN 39713 6909 17 which which WDT 39713 6909 18 is be VBZ 39713 6909 19 good good JJ 39713 6909 20 for for IN 39713 6909 21 something something NN 39713 6909 22 , , , 39713 6909 23 may may MD 39713 6909 24 continue continue VB 39713 6909 25 to to TO 39713 6909 26 develop develop VB 39713 6909 27 in in IN 39713 6909 28 accordance accordance NN 39713 6909 29 with with IN 39713 6909 30 its -PRON- PRP$ 39713 6909 31 own own JJ 39713 6909 32 principles principle NNS 39713 6909 33 without without IN 39713 6909 34 bothering bother VBG 39713 6909 35 about about IN 39713 6909 36 the the DT 39713 6909 37 storms storm NNS 39713 6909 38 which which WDT 39713 6909 39 rage rage VBP 39713 6909 40 outside outside IN 39713 6909 41 it -PRON- PRP 39713 6909 42 , , , 39713 6909 43 and and CC 39713 6909 44 go go VB 39713 6909 45 on on IN 39713 6909 46 step step NN 39713 6909 47 by by IN 39713 6909 48 step step NN 39713 6909 49 with with IN 39713 6909 50 its -PRON- PRP$ 39713 6909 51 usual usual JJ 39713 6909 52 conquests conquest NNS 39713 6909 53 which which WDT 39713 6909 54 are be VBP 39713 6909 55 final final JJ 39713 6909 56 and and CC 39713 6909 57 which which WDT 39713 6909 58 it -PRON- PRP 39713 6909 59 never never RB 39713 6909 60 has have VBZ 39713 6909 61 to to TO 39713 6909 62 abandon abandon VB 39713 6909 63 . . . 39713 6910 1 VII VII NNP 39713 6910 2 _ _ NNP 39713 6910 3 The the DT 39713 6910 4 True True NNP 39713 6910 5 Solution Solution NNP 39713 6910 6 _ _ NNP 39713 6910 7 What what WP 39713 6910 8 choice choice NN 39713 6910 9 ought ought MD 39713 6910 10 we -PRON- PRP 39713 6910 11 to to TO 39713 6910 12 make make VB 39713 6910 13 among among IN 39713 6910 14 these these DT 39713 6910 15 different different JJ 39713 6910 16 theories theory NNS 39713 6910 17 ? ? . 39713 6911 1 It -PRON- PRP 39713 6911 2 seems seem VBZ 39713 6911 3 to to IN 39713 6911 4 me -PRON- PRP 39713 6911 5 that that IN 39713 6911 6 the the DT 39713 6911 7 solution solution NN 39713 6911 8 is be VBZ 39713 6911 9 contained contain VBN 39713 6911 10 in in IN 39713 6911 11 a a DT 39713 6911 12 letter letter NN 39713 6911 13 of of IN 39713 6911 14 M. M. NNP 39713 6911 15 Richard Richard NNP 39713 6911 16 of of IN 39713 6911 17 which which WDT 39713 6911 18 I -PRON- PRP 39713 6911 19 have have VBP 39713 6911 20 spoken speak VBN 39713 6911 21 above above RB 39713 6911 22 , , , 39713 6911 23 to to TO 39713 6911 24 be be VB 39713 6911 25 found find VBN 39713 6911 26 in in IN 39713 6911 27 the the DT 39713 6911 28 _ _ NNP 39713 6911 29 Revue Revue NNP 39713 6911 30 générale générale NN 39713 6911 31 des des NNP 39713 6911 32 sciences sciences NNPS 39713 6911 33 _ _ NNP 39713 6911 34 of of IN 39713 6911 35 June June NNP 39713 6911 36 30 30 CD 39713 6911 37 , , , 39713 6911 38 1905 1905 CD 39713 6911 39 . . . 39713 6912 1 After after IN 39713 6912 2 having have VBG 39713 6912 3 set set VBN 39713 6912 4 forth forth RP 39713 6912 5 the the DT 39713 6912 6 antinomy antinomy NN 39713 6912 7 we -PRON- PRP 39713 6912 8 have have VBP 39713 6912 9 called call VBN 39713 6912 10 Richard Richard NNP 39713 6912 11 's 's POS 39713 6912 12 antinomy antinomy NN 39713 6912 13 , , , 39713 6912 14 he -PRON- PRP 39713 6912 15 gives give VBZ 39713 6912 16 its -PRON- PRP$ 39713 6912 17 explanation explanation NN 39713 6912 18 . . . 39713 6913 1 Recall recall VB 39713 6913 2 what what WP 39713 6913 3 has have VBZ 39713 6913 4 already already RB 39713 6913 5 been be VBN 39713 6913 6 said say VBN 39713 6913 7 of of IN 39713 6913 8 this this DT 39713 6913 9 antinomy antinomy NN 39713 6913 10 . . . 39713 6914 1 _ _ NNP 39713 6914 2 E E NNP 39713 6914 3 _ _ NNP 39713 6914 4 is be VBZ 39713 6914 5 the the DT 39713 6914 6 aggregate aggregate NN 39713 6914 7 of of IN 39713 6914 8 _ _ NNP 39713 6914 9 all all DT 39713 6914 10 _ _ NNP 39713 6914 11 the the DT 39713 6914 12 numbers number NNS 39713 6914 13 definable definable JJ 39713 6914 14 by by IN 39713 6914 15 a a DT 39713 6914 16 finite finite JJ 39713 6914 17 number number NN 39713 6914 18 of of IN 39713 6914 19 words word NNS 39713 6914 20 , , , 39713 6914 21 _ _ NNP 39713 6914 22 without without IN 39713 6914 23 introducing introduce VBG 39713 6914 24 the the DT 39713 6914 25 notion notion NN 39713 6914 26 of of IN 39713 6914 27 the the DT 39713 6914 28 aggregate aggregate NN 39713 6914 29 E E NNP 39713 6914 30 itself -PRON- PRP 39713 6914 31 _ _ XX 39713 6914 32 . . . 39713 6915 1 Else else RB 39713 6915 2 the the DT 39713 6915 3 definition definition NN 39713 6915 4 of of IN 39713 6915 5 _ _ NNP 39713 6915 6 E E NNP 39713 6915 7 _ _ NNP 39713 6915 8 would would MD 39713 6915 9 contain contain VB 39713 6915 10 a a DT 39713 6915 11 vicious vicious JJ 39713 6915 12 circle circle NN 39713 6915 13 ; ; : 39713 6915 14 we -PRON- PRP 39713 6915 15 must must MD 39713 6915 16 not not RB 39713 6915 17 define define VB 39713 6915 18 _ _ NNP 39713 6915 19 E E NNP 39713 6915 20 _ _ NNP 39713 6915 21 by by IN 39713 6915 22 the the DT 39713 6915 23 aggregate aggregate NN 39713 6915 24 _ _ NNP 39713 6915 25 E E NNP 39713 6915 26 _ _ NNP 39713 6915 27 itself -PRON- PRP 39713 6915 28 . . . 39713 6916 1 Now now RB 39713 6916 2 we -PRON- PRP 39713 6916 3 have have VBP 39713 6916 4 defined define VBN 39713 6916 5 _ _ NNP 39713 6916 6 N N NNP 39713 6916 7 _ _ NNP 39713 6916 8 with with IN 39713 6916 9 a a DT 39713 6916 10 finite finite JJ 39713 6916 11 number number NN 39713 6916 12 of of IN 39713 6916 13 words word NNS 39713 6916 14 , , , 39713 6916 15 it -PRON- PRP 39713 6916 16 is be VBZ 39713 6916 17 true true JJ 39713 6916 18 , , , 39713 6916 19 but but CC 39713 6916 20 with with IN 39713 6916 21 the the DT 39713 6916 22 aid aid NN 39713 6916 23 of of IN 39713 6916 24 the the DT 39713 6916 25 notion notion NN 39713 6916 26 of of IN 39713 6916 27 the the DT 39713 6916 28 aggregate aggregate NN 39713 6916 29 _ _ NNP 39713 6916 30 E E NNP 39713 6916 31 _ _ NNP 39713 6916 32 . . . 39713 6917 1 And and CC 39713 6917 2 this this DT 39713 6917 3 is be VBZ 39713 6917 4 why why WRB 39713 6917 5 _ _ NNP 39713 6917 6 N N NNP 39713 6917 7 _ _ NNP 39713 6917 8 is be VBZ 39713 6917 9 not not RB 39713 6917 10 part part NN 39713 6917 11 of of IN 39713 6917 12 _ _ NNP 39713 6917 13 E E NNP 39713 6917 14 _ _ NNP 39713 6917 15 . . . 39713 6918 1 In in IN 39713 6918 2 the the DT 39713 6918 3 example example NN 39713 6918 4 selected select VBN 39713 6918 5 by by IN 39713 6918 6 M. M. NNP 39713 6918 7 Richard Richard NNP 39713 6918 8 , , , 39713 6918 9 the the DT 39713 6918 10 conclusion conclusion NN 39713 6918 11 presents present VBZ 39713 6918 12 itself -PRON- PRP 39713 6918 13 with with IN 39713 6918 14 complete complete JJ 39713 6918 15 evidence evidence NN 39713 6918 16 and and CC 39713 6918 17 the the DT 39713 6918 18 evidence evidence NN 39713 6918 19 will will MD 39713 6918 20 appear appear VB 39713 6918 21 still still RB 39713 6918 22 stronger strong JJR 39713 6918 23 on on IN 39713 6918 24 consulting consult VBG 39713 6918 25 the the DT 39713 6918 26 text text NN 39713 6918 27 of of IN 39713 6918 28 the the DT 39713 6918 29 letter letter NN 39713 6918 30 itself -PRON- PRP 39713 6918 31 . . . 39713 6919 1 But but CC 39713 6919 2 the the DT 39713 6919 3 same same JJ 39713 6919 4 explanation explanation NN 39713 6919 5 holds hold VBZ 39713 6919 6 good good JJ 39713 6919 7 for for IN 39713 6919 8 the the DT 39713 6919 9 other other JJ 39713 6919 10 antinomies antinomy NNS 39713 6919 11 , , , 39713 6919 12 as as IN 39713 6919 13 is be VBZ 39713 6919 14 easily easily RB 39713 6919 15 verified verify VBN 39713 6919 16 . . . 39713 6920 1 Thus thus RB 39713 6920 2 _ _ NNP 39713 6920 3 the the DT 39713 6920 4 definitions definition NNS 39713 6920 5 which which WDT 39713 6920 6 should should MD 39713 6920 7 be be VB 39713 6920 8 regarded regard VBN 39713 6920 9 as as IN 39713 6920 10 not not RB 39713 6920 11 predicative predicative JJ 39713 6920 12 are be VBP 39713 6920 13 those those DT 39713 6920 14 which which WDT 39713 6920 15 contain contain VBP 39713 6920 16 a a DT 39713 6920 17 vicious vicious JJ 39713 6920 18 circle circle NN 39713 6920 19 _ _ NNP 39713 6920 20 . . . 39713 6921 1 And and CC 39713 6921 2 the the DT 39713 6921 3 preceding precede VBG 39713 6921 4 examples example NNS 39713 6921 5 sufficiently sufficiently RB 39713 6921 6 show show VBP 39713 6921 7 what what WP 39713 6921 8 I -PRON- PRP 39713 6921 9 mean mean VBP 39713 6921 10 by by IN 39713 6921 11 that that DT 39713 6921 12 . . . 39713 6922 1 Is be VBZ 39713 6922 2 it -PRON- PRP 39713 6922 3 this this DT 39713 6922 4 which which WDT 39713 6922 5 Russell Russell NNP 39713 6922 6 calls call VBZ 39713 6922 7 the the DT 39713 6922 8 ' ' `` 39713 6922 9 zigzaginess zigzaginess NN 39713 6922 10 ' ' '' 39713 6922 11 ? ? . 39713 6923 1 I -PRON- PRP 39713 6923 2 put put VBD 39713 6923 3 the the DT 39713 6923 4 question question NN 39713 6923 5 without without IN 39713 6923 6 answering answer VBG 39713 6923 7 it -PRON- PRP 39713 6923 8 . . . 39713 6924 1 VIII VIII NNP 39713 6924 2 _ _ NNP 39713 6924 3 The the DT 39713 6924 4 Demonstrations Demonstrations NNPS 39713 6924 5 of of IN 39713 6924 6 the the DT 39713 6924 7 Principle Principle NNP 39713 6924 8 of of IN 39713 6924 9 Induction Induction NNP 39713 6924 10 _ _ NNP 39713 6924 11 Let let VB 39713 6924 12 us -PRON- PRP 39713 6924 13 now now RB 39713 6924 14 examine examine VB 39713 6924 15 the the DT 39713 6924 16 pretended pretended JJ 39713 6924 17 demonstrations demonstration NNS 39713 6924 18 of of IN 39713 6924 19 the the DT 39713 6924 20 principle principle NN 39713 6924 21 of of IN 39713 6924 22 induction induction NN 39713 6924 23 and and CC 39713 6924 24 in in IN 39713 6924 25 particular particular JJ 39713 6924 26 those those DT 39713 6924 27 of of IN 39713 6924 28 Whitehead Whitehead NNP 39713 6924 29 and and CC 39713 6924 30 of of IN 39713 6924 31 Burali Burali NNP 39713 6924 32 - - HYPH 39713 6924 33 Forti Forti NNP 39713 6924 34 . . . 39713 6925 1 We -PRON- PRP 39713 6925 2 shall shall MD 39713 6925 3 speak speak VB 39713 6925 4 of of IN 39713 6925 5 Whitehead Whitehead NNP 39713 6925 6 's 's POS 39713 6925 7 first first JJ 39713 6925 8 , , , 39713 6925 9 and and CC 39713 6925 10 take take VB 39713 6925 11 advantage advantage NN 39713 6925 12 of of IN 39713 6925 13 certain certain JJ 39713 6925 14 new new JJ 39713 6925 15 terms term NNS 39713 6925 16 happily happily RB 39713 6925 17 introduced introduce VBN 39713 6925 18 by by IN 39713 6925 19 Russell Russell NNP 39713 6925 20 in in IN 39713 6925 21 his -PRON- PRP$ 39713 6925 22 recent recent JJ 39713 6925 23 memoir memoir NN 39713 6925 24 . . . 39713 6926 1 Call call VB 39713 6926 2 _ _ NNP 39713 6926 3 recurrent recurrent JJ 39713 6926 4 class class NN 39713 6926 5 _ _ NN 39713 6926 6 every every DT 39713 6926 7 class class NN 39713 6926 8 containing contain VBG 39713 6926 9 zero zero CD 39713 6926 10 , , , 39713 6926 11 and and CC 39713 6926 12 containing contain VBG 39713 6926 13 _ _ NNP 39713 6926 14 n n NNP 39713 6926 15 _ _ NNP 39713 6926 16 + + CC 39713 6926 17 1 1 CD 39713 6926 18 if if IN 39713 6926 19 it -PRON- PRP 39713 6926 20 contains contain VBZ 39713 6926 21 _ _ NNP 39713 6926 22 n n CC 39713 6926 23 _ _ NNP 39713 6926 24 . . . 39713 6927 1 Call call VB 39713 6927 2 _ _ NNP 39713 6927 3 inductive inductive JJ 39713 6927 4 number number NN 39713 6927 5 _ _ IN 39713 6927 6 every every DT 39713 6927 7 number number NN 39713 6927 8 which which WDT 39713 6927 9 is be VBZ 39713 6927 10 a a DT 39713 6927 11 part part NN 39713 6927 12 of of IN 39713 6927 13 _ _ NNP 39713 6927 14 all all DT 39713 6927 15 _ _ NNP 39713 6927 16 the the DT 39713 6927 17 recurrent recurrent JJ 39713 6927 18 classes class NNS 39713 6927 19 . . . 39713 6928 1 Upon upon IN 39713 6928 2 what what WDT 39713 6928 3 condition condition NN 39713 6928 4 will will MD 39713 6928 5 this this DT 39713 6928 6 latter latter JJ 39713 6928 7 definition definition NN 39713 6928 8 , , , 39713 6928 9 which which WDT 39713 6928 10 plays play VBZ 39713 6928 11 an an DT 39713 6928 12 essential essential JJ 39713 6928 13 rôle rôle NN 39713 6928 14 in in IN 39713 6928 15 Whitehead Whitehead NNP 39713 6928 16 's 's POS 39713 6928 17 proof proof NN 39713 6928 18 , , , 39713 6928 19 be be VB 39713 6928 20 ' ' `` 39713 6928 21 predicative predicative JJ 39713 6928 22 ' ' '' 39713 6928 23 and and CC 39713 6928 24 consequently consequently RB 39713 6928 25 acceptable acceptable JJ 39713 6928 26 ? ? . 39713 6929 1 In in IN 39713 6929 2 accordance accordance NN 39713 6929 3 with with IN 39713 6929 4 what what WP 39713 6929 5 has have VBZ 39713 6929 6 been be VBN 39713 6929 7 said say VBN 39713 6929 8 , , , 39713 6929 9 it -PRON- PRP 39713 6929 10 is be VBZ 39713 6929 11 necessary necessary JJ 39713 6929 12 to to TO 39713 6929 13 understand understand VB 39713 6929 14 by by IN 39713 6929 15 _ _ NNP 39713 6929 16 all all DT 39713 6929 17 _ _ NNP 39713 6929 18 the the DT 39713 6929 19 recurrent recurrent JJ 39713 6929 20 classes class NNS 39713 6929 21 , , , 39713 6929 22 all all PDT 39713 6929 23 those those DT 39713 6929 24 in in IN 39713 6929 25 whose whose WP$ 39713 6929 26 definition definition NN 39713 6929 27 the the DT 39713 6929 28 notion notion NN 39713 6929 29 of of IN 39713 6929 30 inductive inductive JJ 39713 6929 31 number number NN 39713 6929 32 does do VBZ 39713 6929 33 not not RB 39713 6929 34 enter enter VB 39713 6929 35 . . . 39713 6930 1 Else else RB 39713 6930 2 we -PRON- PRP 39713 6930 3 fall fall VBP 39713 6930 4 again again RB 39713 6930 5 upon upon IN 39713 6930 6 the the DT 39713 6930 7 vicious vicious JJ 39713 6930 8 circle circle NN 39713 6930 9 which which WDT 39713 6930 10 has have VBZ 39713 6930 11 engendered engender VBN 39713 6930 12 the the DT 39713 6930 13 antinomies antinomy NNS 39713 6930 14 . . . 39713 6931 1 Now now RB 39713 6931 2 _ _ NNP 39713 6931 3 Whitehead Whitehead NNP 39713 6931 4 has have VBZ 39713 6931 5 not not RB 39713 6931 6 taken take VBN 39713 6931 7 this this DT 39713 6931 8 precaution precaution NN 39713 6931 9 _ _ NNP 39713 6931 10 . . . 39713 6932 1 Whitehead Whitehead NNP 39713 6932 2 's 's POS 39713 6932 3 reasoning reasoning NN 39713 6932 4 is be VBZ 39713 6932 5 therefore therefore RB 39713 6932 6 fallacious fallacious JJ 39713 6932 7 ; ; : 39713 6932 8 it -PRON- PRP 39713 6932 9 is be VBZ 39713 6932 10 the the DT 39713 6932 11 same same JJ 39713 6932 12 which which WDT 39713 6932 13 led lead VBD 39713 6932 14 to to IN 39713 6932 15 the the DT 39713 6932 16 antinomies antinomy NNS 39713 6932 17 . . . 39713 6933 1 It -PRON- PRP 39713 6933 2 was be VBD 39713 6933 3 illegitimate illegitimate JJ 39713 6933 4 when when WRB 39713 6933 5 it -PRON- PRP 39713 6933 6 gave give VBD 39713 6933 7 false false JJ 39713 6933 8 results result NNS 39713 6933 9 ; ; : 39713 6933 10 it -PRON- PRP 39713 6933 11 remains remain VBZ 39713 6933 12 illegitimate illegitimate JJ 39713 6933 13 when when WRB 39713 6933 14 by by IN 39713 6933 15 chance chance NN 39713 6933 16 it -PRON- PRP 39713 6933 17 leads lead VBZ 39713 6933 18 to to IN 39713 6933 19 a a DT 39713 6933 20 true true JJ 39713 6933 21 result result NN 39713 6933 22 . . . 39713 6934 1 A a DT 39713 6934 2 definition definition NN 39713 6934 3 containing contain VBG 39713 6934 4 a a DT 39713 6934 5 vicious vicious JJ 39713 6934 6 circle circle NN 39713 6934 7 defines define VBZ 39713 6934 8 nothing nothing NN 39713 6934 9 . . . 39713 6935 1 It -PRON- PRP 39713 6935 2 is be VBZ 39713 6935 3 of of IN 39713 6935 4 no no DT 39713 6935 5 use use NN 39713 6935 6 to to TO 39713 6935 7 say say VB 39713 6935 8 , , , 39713 6935 9 we -PRON- PRP 39713 6935 10 are be VBP 39713 6935 11 sure sure JJ 39713 6935 12 , , , 39713 6935 13 whatever whatever WDT 39713 6935 14 meaning meaning NN 39713 6935 15 we -PRON- PRP 39713 6935 16 may may MD 39713 6935 17 give give VB 39713 6935 18 to to IN 39713 6935 19 our -PRON- PRP$ 39713 6935 20 definition definition NN 39713 6935 21 , , , 39713 6935 22 zero zero CD 39713 6935 23 at at IN 39713 6935 24 least least JJS 39713 6935 25 belongs belong VBZ 39713 6935 26 to to IN 39713 6935 27 the the DT 39713 6935 28 class class NN 39713 6935 29 of of IN 39713 6935 30 inductive inductive JJ 39713 6935 31 numbers number NNS 39713 6935 32 ; ; : 39713 6935 33 it -PRON- PRP 39713 6935 34 is be VBZ 39713 6935 35 not not RB 39713 6935 36 a a DT 39713 6935 37 question question NN 39713 6935 38 of of IN 39713 6935 39 knowing know VBG 39713 6935 40 whether whether IN 39713 6935 41 this this DT 39713 6935 42 class class NN 39713 6935 43 is be VBZ 39713 6935 44 void void JJ 39713 6935 45 , , , 39713 6935 46 but but CC 39713 6935 47 whether whether IN 39713 6935 48 it -PRON- PRP 39713 6935 49 can can MD 39713 6935 50 be be VB 39713 6935 51 rigorously rigorously RB 39713 6935 52 deliminated deliminate VBN 39713 6935 53 . . . 39713 6936 1 A a DT 39713 6936 2 ' ' `` 39713 6936 3 non non JJ 39713 6936 4 - - JJ 39713 6936 5 predicative predicative JJ 39713 6936 6 ' ' `` 39713 6936 7 class class NN 39713 6936 8 is be VBZ 39713 6936 9 not not RB 39713 6936 10 an an DT 39713 6936 11 empty empty JJ 39713 6936 12 class class NN 39713 6936 13 , , , 39713 6936 14 it -PRON- PRP 39713 6936 15 is be VBZ 39713 6936 16 a a DT 39713 6936 17 class class NN 39713 6936 18 whose whose WP$ 39713 6936 19 boundary boundary NN 39713 6936 20 is be VBZ 39713 6936 21 undetermined undetermined JJ 39713 6936 22 . . . 39713 6937 1 Needless needless JJ 39713 6937 2 to to TO 39713 6937 3 add add VB 39713 6937 4 that that IN 39713 6937 5 this this DT 39713 6937 6 particular particular JJ 39713 6937 7 objection objection NN 39713 6937 8 leaves leave VBZ 39713 6937 9 in in IN 39713 6937 10 force force NN 39713 6937 11 the the DT 39713 6937 12 general general JJ 39713 6937 13 objections objection NNS 39713 6937 14 applicable applicable JJ 39713 6937 15 to to IN 39713 6937 16 all all PDT 39713 6937 17 the the DT 39713 6937 18 demonstrations demonstration NNS 39713 6937 19 . . . 39713 6938 1 IX IX NNP 39713 6938 2 Burali Burali NNP 39713 6938 3 - - HYPH 39713 6938 4 Forti Forti NNP 39713 6938 5 has have VBZ 39713 6938 6 given give VBN 39713 6938 7 another another DT 39713 6938 8 demonstration demonstration NN 39713 6938 9 . . . 39713 6939 1 [ [ -LRB- 39713 6939 2 16 16 CD 39713 6939 3 ] ] -RRB- 39713 6939 4 But but CC 39713 6939 5 he -PRON- PRP 39713 6939 6 is be VBZ 39713 6939 7 obliged oblige VBN 39713 6939 8 to to TO 39713 6939 9 assume assume VB 39713 6939 10 two two CD 39713 6939 11 postulates postulate NNS 39713 6939 12 : : : 39713 6939 13 First first RB 39713 6939 14 , , , 39713 6939 15 there there EX 39713 6939 16 always always RB 39713 6939 17 exists exist VBZ 39713 6939 18 at at RB 39713 6939 19 least least RBS 39713 6939 20 one one CD 39713 6939 21 infinite infinite JJ 39713 6939 22 class class NN 39713 6939 23 . . . 39713 6940 1 The the DT 39713 6940 2 second second JJ 39713 6940 3 is be VBZ 39713 6940 4 thus thus RB 39713 6940 5 expressed express VBN 39713 6940 6 : : : 39713 6940 7 u[epsilon]K(K u[epsilon]K(K NNS 39713 6940 8 - - , 39713 6940 9 [ [ -LRB- 39713 6940 10 iota][Lambda iota][Lambda NNP 39713 6940 11 ] ] -RRB- 39713 6940 12 ) ) -RRB- 39713 6940 13 · · NFP 39713 6940 14 [ [ -LRB- 39713 6940 15 inverted invert VBN 39713 6940 16 c c NN 39713 6940 17 ] ] -RRB- 39713 6940 18 · · NFP 39713 6940 19 u u NNP 39713 6940 20 < < XX 39713 6940 21 v'u v'u NNP 39713 6940 22 . . . 39713 6941 1 The the DT 39713 6941 2 first first JJ 39713 6941 3 postulate postulate NN 39713 6941 4 is be VBZ 39713 6941 5 not not RB 39713 6941 6 more more RBR 39713 6941 7 evident evident JJ 39713 6941 8 than than IN 39713 6941 9 the the DT 39713 6941 10 principle principle NN 39713 6941 11 to to TO 39713 6941 12 be be VB 39713 6941 13 proved prove VBN 39713 6941 14 . . . 39713 6942 1 The the DT 39713 6942 2 second second JJ 39713 6942 3 not not RB 39713 6942 4 only only RB 39713 6942 5 is be VBZ 39713 6942 6 not not RB 39713 6942 7 evident evident JJ 39713 6942 8 , , , 39713 6942 9 but but CC 39713 6942 10 it -PRON- PRP 39713 6942 11 is be VBZ 39713 6942 12 false false JJ 39713 6942 13 , , , 39713 6942 14 as as IN 39713 6942 15 Whitehead Whitehead NNP 39713 6942 16 has have VBZ 39713 6942 17 shown show VBN 39713 6942 18 ; ; : 39713 6942 19 as as IN 39713 6942 20 moreover moreover RB 39713 6942 21 any any DT 39713 6942 22 recruit recruit NN 39713 6942 23 would would MD 39713 6942 24 see see VB 39713 6942 25 at at IN 39713 6942 26 the the DT 39713 6942 27 first first JJ 39713 6942 28 glance glance NN 39713 6942 29 , , , 39713 6942 30 if if IN 39713 6942 31 the the DT 39713 6942 32 axiom axiom NN 39713 6942 33 had have VBD 39713 6942 34 been be VBN 39713 6942 35 stated state VBN 39713 6942 36 in in IN 39713 6942 37 intelligible intelligible JJ 39713 6942 38 language language NN 39713 6942 39 , , , 39713 6942 40 since since IN 39713 6942 41 it -PRON- PRP 39713 6942 42 means mean VBZ 39713 6942 43 that that IN 39713 6942 44 the the DT 39713 6942 45 number number NN 39713 6942 46 of of IN 39713 6942 47 combinations combination NNS 39713 6942 48 which which WDT 39713 6942 49 can can MD 39713 6942 50 be be VB 39713 6942 51 formed form VBN 39713 6942 52 with with IN 39713 6942 53 several several JJ 39713 6942 54 objects object NNS 39713 6942 55 is be VBZ 39713 6942 56 less less JJR 39713 6942 57 than than IN 39713 6942 58 the the DT 39713 6942 59 number number NN 39713 6942 60 of of IN 39713 6942 61 these these DT 39713 6942 62 objects object NNS 39713 6942 63 . . . 39713 6943 1 [ [ -LRB- 39713 6943 2 16 16 CD 39713 6943 3 ] ] -RRB- 39713 6943 4 In in IN 39713 6943 5 his -PRON- PRP$ 39713 6943 6 article article NN 39713 6943 7 ' ' `` 39713 6943 8 Le Le NNP 39713 6943 9 classi classi NNP 39713 6943 10 finite finite NN 39713 6943 11 , , , 39713 6943 12 ' ' '' 39713 6943 13 _ _ NNP 39713 6943 14 Atti Atti NNP 39713 6943 15 di di NN 39713 6943 16 Torino Torino NNP 39713 6943 17 _ _ NNP 39713 6943 18 , , , 39713 6943 19 Vol Vol NNP 39713 6943 20 . . . 39713 6944 1 XXXII XXXII NNP 39713 6944 2 . . . 39713 6945 1 X X NNP 39713 6945 2 _ _ NNP 39713 6945 3 Zermelo Zermelo NNP 39713 6945 4 's 's POS 39713 6945 5 Assumption Assumption NNP 39713 6945 6 _ _ NNP 39713 6945 7 A a DT 39713 6945 8 famous famous JJ 39713 6945 9 demonstration demonstration NN 39713 6945 10 by by IN 39713 6945 11 Zermelo Zermelo NNP 39713 6945 12 rests rest NNS 39713 6945 13 upon upon IN 39713 6945 14 the the DT 39713 6945 15 following follow VBG 39713 6945 16 assumption assumption NN 39713 6945 17 : : : 39713 6945 18 In in IN 39713 6945 19 any any DT 39713 6945 20 aggregate aggregate NN 39713 6945 21 ( ( -LRB- 39713 6945 22 or or CC 39713 6945 23 the the DT 39713 6945 24 same same JJ 39713 6945 25 in in IN 39713 6945 26 each each DT 39713 6945 27 aggregate aggregate NN 39713 6945 28 of of IN 39713 6945 29 an an DT 39713 6945 30 assemblage assemblage NN 39713 6945 31 of of IN 39713 6945 32 aggregates aggregate NNS 39713 6945 33 ) ) -RRB- 39713 6945 34 we -PRON- PRP 39713 6945 35 can can MD 39713 6945 36 always always RB 39713 6945 37 choose choose VB 39713 6945 38 _ _ NNP 39713 6945 39 at at IN 39713 6945 40 random random JJ 39713 6945 41 _ _ NNP 39713 6945 42 an an DT 39713 6945 43 element element NN 39713 6945 44 ( ( -LRB- 39713 6945 45 even even RB 39713 6945 46 if if IN 39713 6945 47 this this DT 39713 6945 48 assemblage assemblage NN 39713 6945 49 of of IN 39713 6945 50 aggregates aggregate NNS 39713 6945 51 should should MD 39713 6945 52 contain contain VB 39713 6945 53 an an DT 39713 6945 54 infinity infinity NN 39713 6945 55 of of IN 39713 6945 56 aggregates aggregate NNS 39713 6945 57 ) ) -RRB- 39713 6945 58 . . . 39713 6946 1 This this DT 39713 6946 2 assumption assumption NN 39713 6946 3 had have VBD 39713 6946 4 been be VBN 39713 6946 5 applied apply VBN 39713 6946 6 a a DT 39713 6946 7 thousand thousand CD 39713 6946 8 times time NNS 39713 6946 9 without without IN 39713 6946 10 being be VBG 39713 6946 11 stated state VBN 39713 6946 12 , , , 39713 6946 13 but but CC 39713 6946 14 , , , 39713 6946 15 once once RB 39713 6946 16 stated state VBN 39713 6946 17 , , , 39713 6946 18 it -PRON- PRP 39713 6946 19 aroused arouse VBD 39713 6946 20 doubts doubt NNS 39713 6946 21 . . . 39713 6947 1 Some some DT 39713 6947 2 mathematicians mathematician NNS 39713 6947 3 , , , 39713 6947 4 for for IN 39713 6947 5 instance instance NN 39713 6947 6 M. M. NNP 39713 6947 7 Borel Borel NNP 39713 6947 8 , , , 39713 6947 9 resolutely resolutely RB 39713 6947 10 reject reject VBP 39713 6947 11 it -PRON- PRP 39713 6947 12 ; ; : 39713 6947 13 others other NNS 39713 6947 14 admire admire VBP 39713 6947 15 it -PRON- PRP 39713 6947 16 . . . 39713 6948 1 Let let VB 39713 6948 2 us -PRON- PRP 39713 6948 3 see see VB 39713 6948 4 what what WP 39713 6948 5 , , , 39713 6948 6 according accord VBG 39713 6948 7 to to IN 39713 6948 8 his -PRON- PRP$ 39713 6948 9 last last JJ 39713 6948 10 article article NN 39713 6948 11 , , , 39713 6948 12 Russell Russell NNP 39713 6948 13 thinks think VBZ 39713 6948 14 of of IN 39713 6948 15 it -PRON- PRP 39713 6948 16 . . . 39713 6949 1 He -PRON- PRP 39713 6949 2 does do VBZ 39713 6949 3 not not RB 39713 6949 4 speak speak VB 39713 6949 5 out out RP 39713 6949 6 , , , 39713 6949 7 but but CC 39713 6949 8 his -PRON- PRP$ 39713 6949 9 reflections reflection NNS 39713 6949 10 are be VBP 39713 6949 11 very very RB 39713 6949 12 suggestive suggestive JJ 39713 6949 13 . . . 39713 6950 1 And and CC 39713 6950 2 first first RB 39713 6950 3 a a DT 39713 6950 4 picturesque picturesque NN 39713 6950 5 example example NN 39713 6950 6 : : : 39713 6950 7 Suppose suppose VB 39713 6950 8 we -PRON- PRP 39713 6950 9 have have VBP 39713 6950 10 as as RB 39713 6950 11 many many JJ 39713 6950 12 pairs pair NNS 39713 6950 13 of of IN 39713 6950 14 shoes shoe NNS 39713 6950 15 as as IN 39713 6950 16 there there EX 39713 6950 17 are be VBP 39713 6950 18 whole whole JJ 39713 6950 19 numbers number NNS 39713 6950 20 , , , 39713 6950 21 and and CC 39713 6950 22 so so IN 39713 6950 23 that that IN 39713 6950 24 we -PRON- PRP 39713 6950 25 can can MD 39713 6950 26 number number VB 39713 6950 27 _ _ IN 39713 6950 28 the the DT 39713 6950 29 pairs pair NNS 39713 6950 30 _ _ NNP 39713 6950 31 from from IN 39713 6950 32 one one CD 39713 6950 33 to to IN 39713 6950 34 infinity infinity NN 39713 6950 35 , , , 39713 6950 36 how how WRB 39713 6950 37 many many JJ 39713 6950 38 shoes shoe NNS 39713 6950 39 shall shall MD 39713 6950 40 we -PRON- PRP 39713 6950 41 have have VB 39713 6950 42 ? ? . 39713 6951 1 Will Will MD 39713 6951 2 the the DT 39713 6951 3 number number NN 39713 6951 4 of of IN 39713 6951 5 shoes shoe NNS 39713 6951 6 be be VB 39713 6951 7 equal equal JJ 39713 6951 8 to to IN 39713 6951 9 the the DT 39713 6951 10 number number NN 39713 6951 11 of of IN 39713 6951 12 pairs pair NNS 39713 6951 13 ? ? . 39713 6952 1 Yes yes UH 39713 6952 2 , , , 39713 6952 3 if if IN 39713 6952 4 in in IN 39713 6952 5 each each DT 39713 6952 6 pair pair NN 39713 6952 7 the the DT 39713 6952 8 right right JJ 39713 6952 9 shoe shoe NN 39713 6952 10 is be VBZ 39713 6952 11 distinguishable distinguishable JJ 39713 6952 12 from from IN 39713 6952 13 the the DT 39713 6952 14 left left NN 39713 6952 15 ; ; : 39713 6952 16 it -PRON- PRP 39713 6952 17 will will MD 39713 6952 18 in in IN 39713 6952 19 fact fact NN 39713 6952 20 suffice suffice VB 39713 6952 21 to to TO 39713 6952 22 give give VB 39713 6952 23 the the DT 39713 6952 24 number number NN 39713 6952 25 2_n 2_n CD 39713 6952 26 _ _ NNP 39713 6952 27 - - HYPH 39713 6952 28 1 1 CD 39713 6952 29 to to IN 39713 6952 30 the the DT 39713 6952 31 right right JJ 39713 6952 32 shoe shoe NN 39713 6952 33 of of IN 39713 6952 34 the the DT 39713 6952 35 _ _ NNP 39713 6952 36 n_th n_th NNP 39713 6952 37 pair pair NN 39713 6952 38 , , , 39713 6952 39 and and CC 39713 6952 40 the the DT 39713 6952 41 number number NN 39713 6952 42 2_n 2_n CD 39713 6952 43 _ _ NNP 39713 6952 44 to to IN 39713 6952 45 the the DT 39713 6952 46 left left JJ 39713 6952 47 shoe shoe NN 39713 6952 48 of of IN 39713 6952 49 the the DT 39713 6952 50 _ _ NNP 39713 6952 51 n_th n_th NNP 39713 6952 52 pair pair NN 39713 6952 53 . . . 39713 6953 1 No no UH 39713 6953 2 , , , 39713 6953 3 if if IN 39713 6953 4 the the DT 39713 6953 5 right right JJ 39713 6953 6 shoe shoe NN 39713 6953 7 is be VBZ 39713 6953 8 just just RB 39713 6953 9 like like IN 39713 6953 10 the the DT 39713 6953 11 left left NN 39713 6953 12 , , , 39713 6953 13 because because IN 39713 6953 14 a a DT 39713 6953 15 similar similar JJ 39713 6953 16 operation operation NN 39713 6953 17 would would MD 39713 6953 18 become become VB 39713 6953 19 impossible impossible JJ 39713 6953 20 -- -- : 39713 6953 21 unless unless IN 39713 6953 22 we -PRON- PRP 39713 6953 23 admit admit VBP 39713 6953 24 Zermelo Zermelo NNP 39713 6953 25 's 's POS 39713 6953 26 assumption assumption NN 39713 6953 27 , , , 39713 6953 28 since since IN 39713 6953 29 then then RB 39713 6953 30 we -PRON- PRP 39713 6953 31 could could MD 39713 6953 32 choose choose VB 39713 6953 33 _ _ NNP 39713 6953 34 at at IN 39713 6953 35 random random JJ 39713 6953 36 _ _ NNP 39713 6953 37 in in IN 39713 6953 38 each each DT 39713 6953 39 pair pair NN 39713 6953 40 the the DT 39713 6953 41 shoe shoe NN 39713 6953 42 to to TO 39713 6953 43 be be VB 39713 6953 44 regarded regard VBN 39713 6953 45 as as IN 39713 6953 46 the the DT 39713 6953 47 right right NN 39713 6953 48 . . . 39713 6954 1 XI XI NNP 39713 6954 2 _ _ NNP 39713 6954 3 Conclusions Conclusions NNPS 39713 6954 4 _ _ NNP 39713 6954 5 A a DT 39713 6954 6 demonstration demonstration NN 39713 6954 7 truly truly RB 39713 6954 8 founded found VBN 39713 6954 9 upon upon IN 39713 6954 10 the the DT 39713 6954 11 principles principle NNS 39713 6954 12 of of IN 39713 6954 13 analytic analytic JJ 39713 6954 14 logic logic NN 39713 6954 15 will will MD 39713 6954 16 be be VB 39713 6954 17 composed compose VBN 39713 6954 18 of of IN 39713 6954 19 a a DT 39713 6954 20 series series NN 39713 6954 21 of of IN 39713 6954 22 propositions proposition NNS 39713 6954 23 . . . 39713 6955 1 Some some DT 39713 6955 2 , , , 39713 6955 3 serving serve VBG 39713 6955 4 as as IN 39713 6955 5 premises premise NNS 39713 6955 6 , , , 39713 6955 7 will will MD 39713 6955 8 be be VB 39713 6955 9 identities identity NNS 39713 6955 10 or or CC 39713 6955 11 definitions definition NNS 39713 6955 12 ; ; : 39713 6955 13 the the DT 39713 6955 14 others other NNS 39713 6955 15 will will MD 39713 6955 16 be be VB 39713 6955 17 deduced deduce VBN 39713 6955 18 from from IN 39713 6955 19 the the DT 39713 6955 20 premises premise NNS 39713 6955 21 step step VB 39713 6955 22 by by IN 39713 6955 23 step step NN 39713 6955 24 . . . 39713 6956 1 But but CC 39713 6956 2 though though IN 39713 6956 3 the the DT 39713 6956 4 bond bond NN 39713 6956 5 between between IN 39713 6956 6 each each DT 39713 6956 7 proposition proposition NN 39713 6956 8 and and CC 39713 6956 9 the the DT 39713 6956 10 following follow VBG 39713 6956 11 is be VBZ 39713 6956 12 immediately immediately RB 39713 6956 13 evident evident JJ 39713 6956 14 , , , 39713 6956 15 it -PRON- PRP 39713 6956 16 will will MD 39713 6956 17 not not RB 39713 6956 18 at at IN 39713 6956 19 first first JJ 39713 6956 20 sight sight NN 39713 6956 21 appear appear VB 39713 6956 22 how how WRB 39713 6956 23 we -PRON- PRP 39713 6956 24 get get VBP 39713 6956 25 from from IN 39713 6956 26 the the DT 39713 6956 27 first first JJ 39713 6956 28 to to IN 39713 6956 29 the the DT 39713 6956 30 last last JJ 39713 6956 31 , , , 39713 6956 32 which which WDT 39713 6956 33 we -PRON- PRP 39713 6956 34 may may MD 39713 6956 35 be be VB 39713 6956 36 tempted tempt VBN 39713 6956 37 to to TO 39713 6956 38 regard regard VB 39713 6956 39 as as IN 39713 6956 40 a a DT 39713 6956 41 new new JJ 39713 6956 42 truth truth NN 39713 6956 43 . . . 39713 6957 1 But but CC 39713 6957 2 if if IN 39713 6957 3 we -PRON- PRP 39713 6957 4 replace replace VBP 39713 6957 5 successively successively RB 39713 6957 6 the the DT 39713 6957 7 different different JJ 39713 6957 8 expressions expression NNS 39713 6957 9 therein therein RB 39713 6957 10 by by IN 39713 6957 11 their -PRON- PRP$ 39713 6957 12 definition definition NN 39713 6957 13 and and CC 39713 6957 14 if if IN 39713 6957 15 this this DT 39713 6957 16 operation operation NN 39713 6957 17 be be VB 39713 6957 18 carried carry VBN 39713 6957 19 as as RB 39713 6957 20 far far RB 39713 6957 21 as as IN 39713 6957 22 possible possible JJ 39713 6957 23 , , , 39713 6957 24 there there EX 39713 6957 25 will will MD 39713 6957 26 finally finally RB 39713 6957 27 remain remain VB 39713 6957 28 only only JJ 39713 6957 29 identities identity NNS 39713 6957 30 , , , 39713 6957 31 so so IN 39713 6957 32 that that IN 39713 6957 33 all all DT 39713 6957 34 will will MD 39713 6957 35 reduce reduce VB 39713 6957 36 to to IN 39713 6957 37 an an DT 39713 6957 38 immense immense JJ 39713 6957 39 tautology tautology NN 39713 6957 40 . . . 39713 6958 1 Logic logic NN 39713 6958 2 therefore therefore RB 39713 6958 3 remains remain VBZ 39713 6958 4 sterile sterile JJ 39713 6958 5 unless unless IN 39713 6958 6 made make VBN 39713 6958 7 fruitful fruitful JJ 39713 6958 8 by by IN 39713 6958 9 intuition intuition NN 39713 6958 10 . . . 39713 6959 1 This this DT 39713 6959 2 I -PRON- PRP 39713 6959 3 wrote write VBD 39713 6959 4 long long RB 39713 6959 5 ago ago RB 39713 6959 6 ; ; : 39713 6959 7 logistic logistic JJ 39713 6959 8 professes profess VBZ 39713 6959 9 the the DT 39713 6959 10 contrary contrary NN 39713 6959 11 and and CC 39713 6959 12 thinks think VBZ 39713 6959 13 it -PRON- PRP 39713 6959 14 has have VBZ 39713 6959 15 proved prove VBN 39713 6959 16 it -PRON- PRP 39713 6959 17 by by IN 39713 6959 18 actually actually RB 39713 6959 19 proving prove VBG 39713 6959 20 new new JJ 39713 6959 21 truths truth NNS 39713 6959 22 . . . 39713 6960 1 By by IN 39713 6960 2 what what WDT 39713 6960 3 mechanism mechanism NN 39713 6960 4 ? ? . 39713 6961 1 Why why WRB 39713 6961 2 in in IN 39713 6961 3 applying apply VBG 39713 6961 4 to to IN 39713 6961 5 their -PRON- PRP$ 39713 6961 6 reasonings reasoning NNS 39713 6961 7 the the DT 39713 6961 8 procedure procedure NN 39713 6961 9 just just RB 39713 6961 10 described describe VBN 39713 6961 11 -- -- : 39713 6961 12 namely namely RB 39713 6961 13 , , , 39713 6961 14 replacing replace VBG 39713 6961 15 the the DT 39713 6961 16 terms term NNS 39713 6961 17 defined define VBN 39713 6961 18 by by IN 39713 6961 19 their -PRON- PRP$ 39713 6961 20 definitions definition NNS 39713 6961 21 -- -- : 39713 6961 22 do do VBP 39713 6961 23 we -PRON- PRP 39713 6961 24 not not RB 39713 6961 25 see see VB 39713 6961 26 them -PRON- PRP 39713 6961 27 dissolve dissolve VB 39713 6961 28 into into IN 39713 6961 29 identities identity NNS 39713 6961 30 like like IN 39713 6961 31 ordinary ordinary JJ 39713 6961 32 reasonings reasoning NNS 39713 6961 33 ? ? . 39713 6962 1 It -PRON- PRP 39713 6962 2 is be VBZ 39713 6962 3 because because IN 39713 6962 4 this this DT 39713 6962 5 procedure procedure NN 39713 6962 6 is be VBZ 39713 6962 7 not not RB 39713 6962 8 applicable applicable JJ 39713 6962 9 to to IN 39713 6962 10 them -PRON- PRP 39713 6962 11 . . . 39713 6963 1 And and CC 39713 6963 2 why why WRB 39713 6963 3 ? ? . 39713 6964 1 Because because IN 39713 6964 2 their -PRON- PRP$ 39713 6964 3 definitions definition NNS 39713 6964 4 are be VBP 39713 6964 5 not not RB 39713 6964 6 predicative predicative JJ 39713 6964 7 and and CC 39713 6964 8 present present JJ 39713 6964 9 this this DT 39713 6964 10 sort sort NN 39713 6964 11 of of IN 39713 6964 12 hidden hide VBN 39713 6964 13 vicious vicious JJ 39713 6964 14 circle circle NN 39713 6964 15 which which WDT 39713 6964 16 I -PRON- PRP 39713 6964 17 have have VBP 39713 6964 18 pointed point VBN 39713 6964 19 out out RP 39713 6964 20 above above RB 39713 6964 21 ; ; : 39713 6964 22 non non JJ 39713 6964 23 - - JJ 39713 6964 24 predicative predicative JJ 39713 6964 25 definitions definition NNS 39713 6964 26 can can MD 39713 6964 27 not not RB 39713 6964 28 be be VB 39713 6964 29 substituted substitute VBN 39713 6964 30 for for IN 39713 6964 31 the the DT 39713 6964 32 terms term NNS 39713 6964 33 defined define VBN 39713 6964 34 . . . 39713 6965 1 Under under IN 39713 6965 2 these these DT 39713 6965 3 conditions condition NNS 39713 6965 4 _ _ IN 39713 6965 5 logistic logistic NN 39713 6965 6 is be VBZ 39713 6965 7 not not RB 39713 6965 8 sterile sterile JJ 39713 6965 9 , , , 39713 6965 10 it -PRON- PRP 39713 6965 11 engenders engender VBZ 39713 6965 12 antinomies antinomy NNS 39713 6965 13 _ _ NNP 39713 6965 14 . . . 39713 6966 1 It -PRON- PRP 39713 6966 2 is be VBZ 39713 6966 3 the the DT 39713 6966 4 belief belief NN 39713 6966 5 in in IN 39713 6966 6 the the DT 39713 6966 7 existence existence NN 39713 6966 8 of of IN 39713 6966 9 the the DT 39713 6966 10 actual actual JJ 39713 6966 11 infinite infinite NN 39713 6966 12 which which WDT 39713 6966 13 has have VBZ 39713 6966 14 given give VBN 39713 6966 15 birth birth NN 39713 6966 16 to to IN 39713 6966 17 those those DT 39713 6966 18 non non JJ 39713 6966 19 - - JJ 39713 6966 20 predicative predicative JJ 39713 6966 21 definitions definition NNS 39713 6966 22 . . . 39713 6967 1 Let let VB 39713 6967 2 me -PRON- PRP 39713 6967 3 explain explain VB 39713 6967 4 . . . 39713 6968 1 In in IN 39713 6968 2 these these DT 39713 6968 3 definitions definition NNS 39713 6968 4 the the DT 39713 6968 5 word word NN 39713 6968 6 ' ' `` 39713 6968 7 all all DT 39713 6968 8 ' ' '' 39713 6968 9 figures figure NNS 39713 6968 10 , , , 39713 6968 11 as as IN 39713 6968 12 is be VBZ 39713 6968 13 seen see VBN 39713 6968 14 in in IN 39713 6968 15 the the DT 39713 6968 16 examples example NNS 39713 6968 17 cited cite VBN 39713 6968 18 above above RB 39713 6968 19 . . . 39713 6969 1 The the DT 39713 6969 2 word word NN 39713 6969 3 ' ' `` 39713 6969 4 all all DT 39713 6969 5 ' ' '' 39713 6969 6 has have VBZ 39713 6969 7 a a DT 39713 6969 8 very very RB 39713 6969 9 precise precise JJ 39713 6969 10 meaning meaning NN 39713 6969 11 when when WRB 39713 6969 12 it -PRON- PRP 39713 6969 13 is be VBZ 39713 6969 14 a a DT 39713 6969 15 question question NN 39713 6969 16 of of IN 39713 6969 17 a a DT 39713 6969 18 finite finite JJ 39713 6969 19 number number NN 39713 6969 20 of of IN 39713 6969 21 objects object NNS 39713 6969 22 ; ; , 39713 6969 23 to to TO 39713 6969 24 have have VB 39713 6969 25 another another DT 39713 6969 26 one one NN 39713 6969 27 , , , 39713 6969 28 when when WRB 39713 6969 29 the the DT 39713 6969 30 objects object NNS 39713 6969 31 are be VBP 39713 6969 32 infinite infinite JJ 39713 6969 33 in in IN 39713 6969 34 number number NN 39713 6969 35 , , , 39713 6969 36 would would MD 39713 6969 37 require require VB 39713 6969 38 there there RB 39713 6969 39 being be VBG 39713 6969 40 an an DT 39713 6969 41 actual actual JJ 39713 6969 42 ( ( -LRB- 39713 6969 43 given give VBN 39713 6969 44 complete complete JJ 39713 6969 45 ) ) -RRB- 39713 6969 46 infinity infinity NN 39713 6969 47 . . . 39713 6970 1 Otherwise otherwise RB 39713 6970 2 _ _ NNP 39713 6970 3 all all DT 39713 6970 4 _ _ NNP 39713 6970 5 these these DT 39713 6970 6 objects object NNS 39713 6970 7 could could MD 39713 6970 8 not not RB 39713 6970 9 be be VB 39713 6970 10 conceived conceive VBN 39713 6970 11 as as IN 39713 6970 12 postulated postulate VBN 39713 6970 13 anteriorly anteriorly RB 39713 6970 14 to to IN 39713 6970 15 their -PRON- PRP$ 39713 6970 16 definition definition NN 39713 6970 17 , , , 39713 6970 18 and and CC 39713 6970 19 then then RB 39713 6970 20 if if IN 39713 6970 21 the the DT 39713 6970 22 definition definition NN 39713 6970 23 of of IN 39713 6970 24 a a DT 39713 6970 25 notion notion NN 39713 6970 26 _ _ NNP 39713 6970 27 N N NNP 39713 6970 28 _ _ NNP 39713 6970 29 depends depend VBZ 39713 6970 30 upon upon IN 39713 6970 31 _ _ NNP 39713 6970 32 all all DT 39713 6970 33 _ _ NNP 39713 6970 34 the the DT 39713 6970 35 objects object NNS 39713 6970 36 _ _ NNP 39713 6970 37 A A NNP 39713 6970 38 _ _ NNP 39713 6970 39 , , , 39713 6970 40 it -PRON- PRP 39713 6970 41 may may MD 39713 6970 42 be be VB 39713 6970 43 infected infect VBN 39713 6970 44 with with IN 39713 6970 45 a a DT 39713 6970 46 vicious vicious JJ 39713 6970 47 circle circle NN 39713 6970 48 , , , 39713 6970 49 if if IN 39713 6970 50 among among IN 39713 6970 51 the the DT 39713 6970 52 objects object NNS 39713 6970 53 _ _ NNP 39713 6970 54 A A NNP 39713 6970 55 _ _ NNP 39713 6970 56 are be VBP 39713 6970 57 some some DT 39713 6970 58 indefinable indefinable JJ 39713 6970 59 without without IN 39713 6970 60 the the DT 39713 6970 61 intervention intervention NN 39713 6970 62 of of IN 39713 6970 63 the the DT 39713 6970 64 notion notion NN 39713 6970 65 _ _ NNP 39713 6970 66 N N NNP 39713 6970 67 _ _ NNP 39713 6970 68 itself -PRON- PRP 39713 6970 69 . . . 39713 6971 1 The the DT 39713 6971 2 rules rule NNS 39713 6971 3 of of IN 39713 6971 4 formal formal JJ 39713 6971 5 logic logic NN 39713 6971 6 express express VBP 39713 6971 7 simply simply RB 39713 6971 8 the the DT 39713 6971 9 properties property NNS 39713 6971 10 of of IN 39713 6971 11 all all DT 39713 6971 12 possible possible JJ 39713 6971 13 classifications classification NNS 39713 6971 14 . . . 39713 6972 1 But but CC 39713 6972 2 for for IN 39713 6972 3 them -PRON- PRP 39713 6972 4 to to TO 39713 6972 5 be be VB 39713 6972 6 applicable applicable JJ 39713 6972 7 it -PRON- PRP 39713 6972 8 is be VBZ 39713 6972 9 necessary necessary JJ 39713 6972 10 that that IN 39713 6972 11 these these DT 39713 6972 12 classifications classification NNS 39713 6972 13 be be VB 39713 6972 14 immutable immutable JJ 39713 6972 15 and and CC 39713 6972 16 that that IN 39713 6972 17 we -PRON- PRP 39713 6972 18 have have VBP 39713 6972 19 no no DT 39713 6972 20 need need NN 39713 6972 21 to to TO 39713 6972 22 modify modify VB 39713 6972 23 them -PRON- PRP 39713 6972 24 in in IN 39713 6972 25 the the DT 39713 6972 26 course course NN 39713 6972 27 of of IN 39713 6972 28 the the DT 39713 6972 29 reasoning reasoning NN 39713 6972 30 . . . 39713 6973 1 If if IN 39713 6973 2 we -PRON- PRP 39713 6973 3 have have VBP 39713 6973 4 to to TO 39713 6973 5 classify classify VB 39713 6973 6 only only RB 39713 6973 7 a a DT 39713 6973 8 finite finite JJ 39713 6973 9 number number NN 39713 6973 10 of of IN 39713 6973 11 objects object NNS 39713 6973 12 , , , 39713 6973 13 it -PRON- PRP 39713 6973 14 is be VBZ 39713 6973 15 easy easy JJ 39713 6973 16 to to TO 39713 6973 17 keep keep VB 39713 6973 18 our -PRON- PRP$ 39713 6973 19 classifications classification NNS 39713 6973 20 without without IN 39713 6973 21 change change NN 39713 6973 22 . . . 39713 6974 1 If if IN 39713 6974 2 the the DT 39713 6974 3 objects object NNS 39713 6974 4 are be VBP 39713 6974 5 _ _ NNP 39713 6974 6 indefinite indefinite NNP 39713 6974 7 _ _ NNP 39713 6974 8 in in IN 39713 6974 9 number number NN 39713 6974 10 , , , 39713 6974 11 that that DT 39713 6974 12 is be VBZ 39713 6974 13 to to TO 39713 6974 14 say say VB 39713 6974 15 if if IN 39713 6974 16 one one CD 39713 6974 17 is be VBZ 39713 6974 18 constantly constantly RB 39713 6974 19 exposed expose VBN 39713 6974 20 to to IN 39713 6974 21 seeing see VBG 39713 6974 22 new new JJ 39713 6974 23 and and CC 39713 6974 24 unforeseen unforeseen JJ 39713 6974 25 objects object NNS 39713 6974 26 arise arise VBP 39713 6974 27 , , , 39713 6974 28 it -PRON- PRP 39713 6974 29 may may MD 39713 6974 30 happen happen VB 39713 6974 31 that that IN 39713 6974 32 the the DT 39713 6974 33 appearance appearance NN 39713 6974 34 of of IN 39713 6974 35 a a DT 39713 6974 36 new new JJ 39713 6974 37 object object NN 39713 6974 38 may may MD 39713 6974 39 require require VB 39713 6974 40 the the DT 39713 6974 41 classification classification NN 39713 6974 42 to to TO 39713 6974 43 be be VB 39713 6974 44 modified modify VBN 39713 6974 45 , , , 39713 6974 46 and and CC 39713 6974 47 thus thus RB 39713 6974 48 it -PRON- PRP 39713 6974 49 is be VBZ 39713 6974 50 we -PRON- PRP 39713 6974 51 are be VBP 39713 6974 52 exposed expose VBN 39713 6974 53 to to IN 39713 6974 54 antinomies antinomy NNS 39713 6974 55 . . . 39713 6975 1 _ _ NNP 39713 6975 2 There there EX 39713 6975 3 is be VBZ 39713 6975 4 no no DT 39713 6975 5 actual actual JJ 39713 6975 6 ( ( -LRB- 39713 6975 7 given give VBN 39713 6975 8 complete complete JJ 39713 6975 9 ) ) -RRB- 39713 6975 10 infinity infinity NN 39713 6975 11 . . . 39713 6975 12 _ _ NNP 39713 6975 13 The the DT 39713 6975 14 Cantorians Cantorians NNPS 39713 6975 15 have have VBP 39713 6975 16 forgotten forget VBN 39713 6975 17 this this DT 39713 6975 18 , , , 39713 6975 19 and and CC 39713 6975 20 they -PRON- PRP 39713 6975 21 have have VBP 39713 6975 22 fallen fall VBN 39713 6975 23 into into IN 39713 6975 24 contradiction contradiction NN 39713 6975 25 . . . 39713 6976 1 It -PRON- PRP 39713 6976 2 is be VBZ 39713 6976 3 true true JJ 39713 6976 4 that that IN 39713 6976 5 Cantorism Cantorism NNP 39713 6976 6 has have VBZ 39713 6976 7 been be VBN 39713 6976 8 of of IN 39713 6976 9 service service NN 39713 6976 10 , , , 39713 6976 11 but but CC 39713 6976 12 this this DT 39713 6976 13 was be VBD 39713 6976 14 when when WRB 39713 6976 15 applied apply VBN 39713 6976 16 to to IN 39713 6976 17 a a DT 39713 6976 18 real real JJ 39713 6976 19 problem problem NN 39713 6976 20 whose whose WP$ 39713 6976 21 terms term NNS 39713 6976 22 were be VBD 39713 6976 23 precisely precisely RB 39713 6976 24 defined define VBN 39713 6976 25 , , , 39713 6976 26 and and CC 39713 6976 27 then then RB 39713 6976 28 we -PRON- PRP 39713 6976 29 could could MD 39713 6976 30 advance advance VB 39713 6976 31 without without IN 39713 6976 32 fear fear NN 39713 6976 33 . . . 39713 6977 1 Logistic Logistic NNP 39713 6977 2 also also RB 39713 6977 3 forgot forget VBD 39713 6977 4 it -PRON- PRP 39713 6977 5 , , , 39713 6977 6 like like IN 39713 6977 7 the the DT 39713 6977 8 Cantorians Cantorians NNPS 39713 6977 9 , , , 39713 6977 10 and and CC 39713 6977 11 encountered encounter VBD 39713 6977 12 the the DT 39713 6977 13 same same JJ 39713 6977 14 difficulties difficulty NNS 39713 6977 15 . . . 39713 6978 1 But but CC 39713 6978 2 the the DT 39713 6978 3 question question NN 39713 6978 4 is be VBZ 39713 6978 5 to to TO 39713 6978 6 know know VB 39713 6978 7 whether whether IN 39713 6978 8 they -PRON- PRP 39713 6978 9 went go VBD 39713 6978 10 this this DT 39713 6978 11 way way NN 39713 6978 12 by by IN 39713 6978 13 accident accident NN 39713 6978 14 or or CC 39713 6978 15 whether whether IN 39713 6978 16 it -PRON- PRP 39713 6978 17 was be VBD 39713 6978 18 a a DT 39713 6978 19 necessity necessity NN 39713 6978 20 for for IN 39713 6978 21 them -PRON- PRP 39713 6978 22 . . . 39713 6979 1 For for IN 39713 6979 2 me -PRON- PRP 39713 6979 3 , , , 39713 6979 4 the the DT 39713 6979 5 question question NN 39713 6979 6 is be VBZ 39713 6979 7 not not RB 39713 6979 8 doubtful doubtful JJ 39713 6979 9 ; ; : 39713 6979 10 belief belief NN 39713 6979 11 in in IN 39713 6979 12 an an DT 39713 6979 13 actual actual JJ 39713 6979 14 infinity infinity NN 39713 6979 15 is be VBZ 39713 6979 16 essential essential JJ 39713 6979 17 in in IN 39713 6979 18 the the DT 39713 6979 19 Russell Russell NNP 39713 6979 20 logic logic NN 39713 6979 21 . . . 39713 6980 1 It -PRON- PRP 39713 6980 2 is be VBZ 39713 6980 3 just just RB 39713 6980 4 this this DT 39713 6980 5 which which WDT 39713 6980 6 distinguishes distinguish VBZ 39713 6980 7 it -PRON- PRP 39713 6980 8 from from IN 39713 6980 9 the the DT 39713 6980 10 Hilbert Hilbert NNP 39713 6980 11 logic logic NN 39713 6980 12 . . . 39713 6981 1 Hilbert Hilbert NNP 39713 6981 2 takes take VBZ 39713 6981 3 the the DT 39713 6981 4 view view NN 39713 6981 5 - - HYPH 39713 6981 6 point point NN 39713 6981 7 of of IN 39713 6981 8 extension extension NN 39713 6981 9 , , , 39713 6981 10 precisely precisely RB 39713 6981 11 in in IN 39713 6981 12 order order NN 39713 6981 13 to to TO 39713 6981 14 avoid avoid VB 39713 6981 15 the the DT 39713 6981 16 Cantorian cantorian JJ 39713 6981 17 antinomies antinomy NNS 39713 6981 18 . . . 39713 6982 1 Russell Russell NNP 39713 6982 2 takes take VBZ 39713 6982 3 the the DT 39713 6982 4 view view NN 39713 6982 5 - - HYPH 39713 6982 6 point point NN 39713 6982 7 of of IN 39713 6982 8 comprehension comprehension NN 39713 6982 9 . . . 39713 6983 1 Consequently consequently RB 39713 6983 2 for for IN 39713 6983 3 him -PRON- PRP 39713 6983 4 the the DT 39713 6983 5 genus genus NN 39713 6983 6 is be VBZ 39713 6983 7 anterior anterior JJ 39713 6983 8 to to IN 39713 6983 9 the the DT 39713 6983 10 species specie NNS 39713 6983 11 , , , 39713 6983 12 and and CC 39713 6983 13 the the DT 39713 6983 14 _ _ NNP 39713 6983 15 summum summum NN 39713 6983 16 genus genus NNP 39713 6983 17 _ _ NNP 39713 6983 18 is be VBZ 39713 6983 19 anterior anterior JJ 39713 6983 20 to to IN 39713 6983 21 all all DT 39713 6983 22 . . . 39713 6984 1 That that DT 39713 6984 2 would would MD 39713 6984 3 not not RB 39713 6984 4 be be VB 39713 6984 5 inconvenient inconvenient JJ 39713 6984 6 if if IN 39713 6984 7 the the DT 39713 6984 8 _ _ NNP 39713 6984 9 summum summum NN 39713 6984 10 genus genus NNP 39713 6984 11 _ _ NNP 39713 6984 12 was be VBD 39713 6984 13 finite finite JJ 39713 6984 14 ; ; : 39713 6984 15 but but CC 39713 6984 16 if if IN 39713 6984 17 it -PRON- PRP 39713 6984 18 is be VBZ 39713 6984 19 infinite infinite JJ 39713 6984 20 , , , 39713 6984 21 it -PRON- PRP 39713 6984 22 is be VBZ 39713 6984 23 necessary necessary JJ 39713 6984 24 to to TO 39713 6984 25 postulate postulate VB 39713 6984 26 the the DT 39713 6984 27 infinite infinite NN 39713 6984 28 , , , 39713 6984 29 that that DT 39713 6984 30 is be VBZ 39713 6984 31 to to TO 39713 6984 32 say say VB 39713 6984 33 to to TO 39713 6984 34 regard regard VB 39713 6984 35 the the DT 39713 6984 36 infinite infinite NN 39713 6984 37 as as IN 39713 6984 38 actual actual JJ 39713 6984 39 ( ( -LRB- 39713 6984 40 given give VBN 39713 6984 41 complete complete JJ 39713 6984 42 ) ) -RRB- 39713 6984 43 . . . 39713 6985 1 And and CC 39713 6985 2 we -PRON- PRP 39713 6985 3 have have VBP 39713 6985 4 not not RB 39713 6985 5 only only RB 39713 6985 6 infinite infinite JJ 39713 6985 7 classes class NNS 39713 6985 8 ; ; : 39713 6985 9 when when WRB 39713 6985 10 we -PRON- PRP 39713 6985 11 pass pass VBP 39713 6985 12 from from IN 39713 6985 13 the the DT 39713 6985 14 genus genus NN 39713 6985 15 to to IN 39713 6985 16 the the DT 39713 6985 17 species species NN 39713 6985 18 in in IN 39713 6985 19 restricting restrict VBG 39713 6985 20 the the DT 39713 6985 21 concept concept NN 39713 6985 22 by by IN 39713 6985 23 new new JJ 39713 6985 24 conditions condition NNS 39713 6985 25 , , , 39713 6985 26 these these DT 39713 6985 27 conditions condition NNS 39713 6985 28 are be VBP 39713 6985 29 still still RB 39713 6985 30 infinite infinite JJ 39713 6985 31 in in IN 39713 6985 32 number number NN 39713 6985 33 . . . 39713 6986 1 Because because IN 39713 6986 2 they -PRON- PRP 39713 6986 3 express express VBP 39713 6986 4 generally generally RB 39713 6986 5 that that IN 39713 6986 6 the the DT 39713 6986 7 envisaged envisage VBN 39713 6986 8 object object NN 39713 6986 9 presents present NNS 39713 6986 10 such such JJ 39713 6986 11 or or CC 39713 6986 12 such such PDT 39713 6986 13 a a DT 39713 6986 14 relation relation NN 39713 6986 15 with with IN 39713 6986 16 all all PDT 39713 6986 17 the the DT 39713 6986 18 objects object NNS 39713 6986 19 of of IN 39713 6986 20 an an DT 39713 6986 21 infinite infinite JJ 39713 6986 22 class class NN 39713 6986 23 . . . 39713 6987 1 But but CC 39713 6987 2 that that DT 39713 6987 3 is be VBZ 39713 6987 4 ancient ancient JJ 39713 6987 5 history history NN 39713 6987 6 . . . 39713 6988 1 Russell Russell NNP 39713 6988 2 has have VBZ 39713 6988 3 perceived perceive VBN 39713 6988 4 the the DT 39713 6988 5 peril peril NN 39713 6988 6 and and CC 39713 6988 7 takes take VBZ 39713 6988 8 counsel counsel NN 39713 6988 9 . . . 39713 6989 1 He -PRON- PRP 39713 6989 2 is be VBZ 39713 6989 3 about about JJ 39713 6989 4 to to TO 39713 6989 5 change change VB 39713 6989 6 everything everything NN 39713 6989 7 , , , 39713 6989 8 and and CC 39713 6989 9 , , , 39713 6989 10 what what WP 39713 6989 11 is be VBZ 39713 6989 12 easily easily RB 39713 6989 13 understood understand VBN 39713 6989 14 , , , 39713 6989 15 he -PRON- PRP 39713 6989 16 is be VBZ 39713 6989 17 preparing prepare VBG 39713 6989 18 not not RB 39713 6989 19 only only RB 39713 6989 20 to to TO 39713 6989 21 introduce introduce VB 39713 6989 22 new new JJ 39713 6989 23 principles principle NNS 39713 6989 24 which which WDT 39713 6989 25 shall shall MD 39713 6989 26 allow allow VB 39713 6989 27 of of IN 39713 6989 28 operations operation NNS 39713 6989 29 formerly formerly RB 39713 6989 30 forbidden forbid VBN 39713 6989 31 , , , 39713 6989 32 but but CC 39713 6989 33 he -PRON- PRP 39713 6989 34 is be VBZ 39713 6989 35 preparing prepare VBG 39713 6989 36 to to TO 39713 6989 37 forbid forbid VB 39713 6989 38 operations operation NNS 39713 6989 39 he -PRON- PRP 39713 6989 40 formerly formerly RB 39713 6989 41 thought think VBD 39713 6989 42 legitimate legitimate RB 39713 6989 43 . . . 39713 6990 1 Not not RB 39713 6990 2 content content JJ 39713 6990 3 to to IN 39713 6990 4 adore adore VB 39713 6990 5 what what WP 39713 6990 6 he -PRON- PRP 39713 6990 7 burned burn VBD 39713 6990 8 , , , 39713 6990 9 he -PRON- PRP 39713 6990 10 is be VBZ 39713 6990 11 about about JJ 39713 6990 12 to to TO 39713 6990 13 burn burn VB 39713 6990 14 what what WP 39713 6990 15 he -PRON- PRP 39713 6990 16 adored adore VBD 39713 6990 17 , , , 39713 6990 18 which which WDT 39713 6990 19 is be VBZ 39713 6990 20 more more RBR 39713 6990 21 serious serious JJ 39713 6990 22 . . . 39713 6991 1 He -PRON- PRP 39713 6991 2 does do VBZ 39713 6991 3 not not RB 39713 6991 4 add add VB 39713 6991 5 a a DT 39713 6991 6 new new JJ 39713 6991 7 wing wing NN 39713 6991 8 to to IN 39713 6991 9 the the DT 39713 6991 10 building building NN 39713 6991 11 , , , 39713 6991 12 he -PRON- PRP 39713 6991 13 saps sap VBZ 39713 6991 14 its -PRON- PRP$ 39713 6991 15 foundation foundation NN 39713 6991 16 . . . 39713 6992 1 The the DT 39713 6992 2 old old JJ 39713 6992 3 logistic logistic NN 39713 6992 4 is be VBZ 39713 6992 5 dead dead JJ 39713 6992 6 , , , 39713 6992 7 so so RB 39713 6992 8 much much RB 39713 6992 9 so so IN 39713 6992 10 that that IN 39713 6992 11 already already RB 39713 6992 12 the the DT 39713 6992 13 zigzag zigzag NNP 39713 6992 14 theory theory NN 39713 6992 15 and and CC 39713 6992 16 the the DT 39713 6992 17 no no DT 39713 6992 18 - - HYPH 39713 6992 19 classes class NNS 39713 6992 20 theory theory NN 39713 6992 21 are be VBP 39713 6992 22 disputing dispute VBG 39713 6992 23 over over IN 39713 6992 24 the the DT 39713 6992 25 succession succession NN 39713 6992 26 . . . 39713 6993 1 To to TO 39713 6993 2 judge judge VB 39713 6993 3 of of IN 39713 6993 4 the the DT 39713 6993 5 new new JJ 39713 6993 6 , , , 39713 6993 7 we -PRON- PRP 39713 6993 8 shall shall MD 39713 6993 9 await await VB 39713 6993 10 its -PRON- PRP$ 39713 6993 11 coming coming NN 39713 6993 12 . . . 39713 6994 1 BOOK BOOK NNP 39713 6994 2 III iii CD 39713 6994 3 THE the DT 39713 6994 4 NEW NEW NNP 39713 6994 5 MECHANICS MECHANICS NNP 39713 6994 6 CHAPTER chapter NN 39713 6994 7 I -PRON- PRP 39713 6994 8 MECHANICS MECHANICS NNP 39713 6994 9 AND and CC 39713 6994 10 RADIUM RADIUM NNP 39713 6994 11 I -PRON- PRP 39713 6994 12 _ _ VBP 39713 6994 13 Introduction Introduction NNP 39713 6994 14 _ _ NNP 39713 6994 15 The the DT 39713 6994 16 general general JJ 39713 6994 17 principles principle NNS 39713 6994 18 of of IN 39713 6994 19 Dynamics Dynamics NNP 39713 6994 20 , , , 39713 6994 21 which which WDT 39713 6994 22 have have VBP 39713 6994 23 , , , 39713 6994 24 since since IN 39713 6994 25 Newton Newton NNP 39713 6994 26 , , , 39713 6994 27 served serve VBD 39713 6994 28 as as IN 39713 6994 29 foundation foundation NN 39713 6994 30 for for IN 39713 6994 31 physical physical JJ 39713 6994 32 science science NN 39713 6994 33 , , , 39713 6994 34 and and CC 39713 6994 35 which which WDT 39713 6994 36 appeared appear VBD 39713 6994 37 immovable immovable JJ 39713 6994 38 , , , 39713 6994 39 are be VBP 39713 6994 40 they -PRON- PRP 39713 6994 41 on on IN 39713 6994 42 the the DT 39713 6994 43 point point NN 39713 6994 44 of of IN 39713 6994 45 being be VBG 39713 6994 46 abandoned abandon VBN 39713 6994 47 or or CC 39713 6994 48 at at IN 39713 6994 49 least least JJS 39713 6994 50 profoundly profoundly RB 39713 6994 51 modified modify VBN 39713 6994 52 ? ? . 39713 6995 1 This this DT 39713 6995 2 is be VBZ 39713 6995 3 what what WP 39713 6995 4 many many JJ 39713 6995 5 people people NNS 39713 6995 6 have have VBP 39713 6995 7 been be VBN 39713 6995 8 asking ask VBG 39713 6995 9 themselves -PRON- PRP 39713 6995 10 for for IN 39713 6995 11 some some DT 39713 6995 12 years year NNS 39713 6995 13 . . . 39713 6996 1 According accord VBG 39713 6996 2 to to IN 39713 6996 3 them -PRON- PRP 39713 6996 4 , , , 39713 6996 5 the the DT 39713 6996 6 discovery discovery NN 39713 6996 7 of of IN 39713 6996 8 radium radium NN 39713 6996 9 has have VBZ 39713 6996 10 overturned overturn VBN 39713 6996 11 the the DT 39713 6996 12 scientific scientific JJ 39713 6996 13 dogmas dogmas NN 39713 6996 14 we -PRON- PRP 39713 6996 15 believed believe VBD 39713 6996 16 the the DT 39713 6996 17 most most RBS 39713 6996 18 solid solid JJ 39713 6996 19 : : : 39713 6996 20 on on IN 39713 6996 21 the the DT 39713 6996 22 one one CD 39713 6996 23 hand hand NN 39713 6996 24 , , , 39713 6996 25 the the DT 39713 6996 26 impossibility impossibility NN 39713 6996 27 of of IN 39713 6996 28 the the DT 39713 6996 29 transmutation transmutation NN 39713 6996 30 of of IN 39713 6996 31 metals metal NNS 39713 6996 32 ; ; , 39713 6996 33 on on IN 39713 6996 34 the the DT 39713 6996 35 other other JJ 39713 6996 36 hand hand NN 39713 6996 37 , , , 39713 6996 38 the the DT 39713 6996 39 fundamental fundamental JJ 39713 6996 40 postulates postulate NNS 39713 6996 41 of of IN 39713 6996 42 mechanics mechanic NNS 39713 6996 43 . . . 39713 6997 1 Perhaps perhaps RB 39713 6997 2 one one CD 39713 6997 3 is be VBZ 39713 6997 4 too too RB 39713 6997 5 hasty hasty JJ 39713 6997 6 in in IN 39713 6997 7 considering consider VBG 39713 6997 8 these these DT 39713 6997 9 novelties novelty NNS 39713 6997 10 as as IN 39713 6997 11 finally finally RB 39713 6997 12 established establish VBN 39713 6997 13 , , , 39713 6997 14 and and CC 39713 6997 15 breaking break VBG 39713 6997 16 our -PRON- PRP$ 39713 6997 17 idols idol NNS 39713 6997 18 of of IN 39713 6997 19 yesterday yesterday NN 39713 6997 20 ; ; : 39713 6997 21 perhaps perhaps RB 39713 6997 22 it -PRON- PRP 39713 6997 23 would would MD 39713 6997 24 be be VB 39713 6997 25 proper proper JJ 39713 6997 26 , , , 39713 6997 27 before before IN 39713 6997 28 taking take VBG 39713 6997 29 sides side NNS 39713 6997 30 , , , 39713 6997 31 to to TO 39713 6997 32 await await VB 39713 6997 33 experiments experiment NNS 39713 6997 34 more more RBR 39713 6997 35 numerous numerous JJ 39713 6997 36 and and CC 39713 6997 37 more more RBR 39713 6997 38 convincing convincing JJ 39713 6997 39 . . . 39713 6998 1 None none NN 39713 6998 2 the the DT 39713 6998 3 less less RBR 39713 6998 4 is be VBZ 39713 6998 5 it -PRON- PRP 39713 6998 6 necessary necessary JJ 39713 6998 7 , , , 39713 6998 8 from from IN 39713 6998 9 to to IN 39713 6998 10 - - HYPH 39713 6998 11 day day NN 39713 6998 12 , , , 39713 6998 13 to to TO 39713 6998 14 know know VB 39713 6998 15 the the DT 39713 6998 16 new new JJ 39713 6998 17 doctrines doctrine NNS 39713 6998 18 and and CC 39713 6998 19 the the DT 39713 6998 20 arguments argument NNS 39713 6998 21 , , , 39713 6998 22 already already RB 39713 6998 23 very very RB 39713 6998 24 weighty weighty JJ 39713 6998 25 , , , 39713 6998 26 upon upon IN 39713 6998 27 which which WDT 39713 6998 28 they -PRON- PRP 39713 6998 29 rest rest VBP 39713 6998 30 . . . 39713 6999 1 In in IN 39713 6999 2 few few JJ 39713 6999 3 words word NNS 39713 6999 4 let let VB 39713 6999 5 us -PRON- PRP 39713 6999 6 first first RB 39713 6999 7 recall recall VB 39713 6999 8 in in IN 39713 6999 9 what what WP 39713 6999 10 those those DT 39713 6999 11 principles principle NNS 39713 6999 12 consist consist VBP 39713 6999 13 : : : 39713 6999 14 _ _ NNP 39713 6999 15 A. a. NN 39713 6999 16 _ _ NNP 39713 6999 17 The the DT 39713 6999 18 motion motion NN 39713 6999 19 of of IN 39713 6999 20 a a DT 39713 6999 21 material material JJ 39713 6999 22 point point NN 39713 6999 23 isolated isolate VBN 39713 6999 24 and and CC 39713 6999 25 apart apart RB 39713 6999 26 from from IN 39713 6999 27 all all DT 39713 6999 28 exterior exterior NNP 39713 6999 29 force force NN 39713 6999 30 is be VBZ 39713 6999 31 straight straight JJ 39713 6999 32 and and CC 39713 6999 33 uniform uniform JJ 39713 6999 34 ; ; : 39713 6999 35 this this DT 39713 6999 36 is be VBZ 39713 6999 37 the the DT 39713 6999 38 principle principle NN 39713 6999 39 of of IN 39713 6999 40 inertia inertia NN 39713 6999 41 : : : 39713 6999 42 without without IN 39713 6999 43 force force NN 39713 6999 44 no no DT 39713 6999 45 acceleration acceleration NN 39713 6999 46 ; ; : 39713 6999 47 _ _ NNP 39713 6999 48 B. B. NNP 39713 6999 49 _ _ NNP 39713 6999 50 The the DT 39713 6999 51 acceleration acceleration NN 39713 6999 52 of of IN 39713 6999 53 a a DT 39713 6999 54 moving move VBG 39713 6999 55 point point NN 39713 6999 56 has have VBZ 39713 6999 57 the the DT 39713 6999 58 same same JJ 39713 6999 59 direction direction NN 39713 6999 60 as as IN 39713 6999 61 the the DT 39713 6999 62 resultant resultant NN 39713 6999 63 of of IN 39713 6999 64 all all PDT 39713 6999 65 the the DT 39713 6999 66 forces force NNS 39713 6999 67 to to TO 39713 6999 68 which which WDT 39713 6999 69 it -PRON- PRP 39713 6999 70 is be VBZ 39713 6999 71 subjected subject VBN 39713 6999 72 ; ; : 39713 6999 73 it -PRON- PRP 39713 6999 74 is be VBZ 39713 6999 75 equal equal JJ 39713 6999 76 to to IN 39713 6999 77 the the DT 39713 6999 78 quotient quotient NN 39713 6999 79 of of IN 39713 6999 80 this this DT 39713 6999 81 resultant resultant NN 39713 6999 82 by by IN 39713 6999 83 a a DT 39713 6999 84 coefficient coefficient NN 39713 6999 85 called call VBN 39713 6999 86 _ _ NNP 39713 6999 87 mass mass NN 39713 6999 88 _ _ NNP 39713 6999 89 of of IN 39713 6999 90 the the DT 39713 6999 91 moving moving NN 39713 6999 92 point point NN 39713 6999 93 . . . 39713 7000 1 The the DT 39713 7000 2 mass mass NN 39713 7000 3 of of IN 39713 7000 4 a a DT 39713 7000 5 moving moving NN 39713 7000 6 point point NN 39713 7000 7 , , , 39713 7000 8 so so RB 39713 7000 9 defined define VBN 39713 7000 10 , , , 39713 7000 11 is be VBZ 39713 7000 12 a a DT 39713 7000 13 constant constant JJ 39713 7000 14 ; ; : 39713 7000 15 it -PRON- PRP 39713 7000 16 does do VBZ 39713 7000 17 not not RB 39713 7000 18 depend depend VB 39713 7000 19 upon upon IN 39713 7000 20 the the DT 39713 7000 21 velocity velocity NN 39713 7000 22 acquired acquire VBN 39713 7000 23 by by IN 39713 7000 24 this this DT 39713 7000 25 point point NN 39713 7000 26 ; ; : 39713 7000 27 it -PRON- PRP 39713 7000 28 is be VBZ 39713 7000 29 the the DT 39713 7000 30 same same JJ 39713 7000 31 whether whether IN 39713 7000 32 the the DT 39713 7000 33 force force NN 39713 7000 34 , , , 39713 7000 35 being be VBG 39713 7000 36 parallel parallel JJ 39713 7000 37 to to IN 39713 7000 38 this this DT 39713 7000 39 velocity velocity NN 39713 7000 40 , , , 39713 7000 41 tends tend VBZ 39713 7000 42 only only RB 39713 7000 43 to to TO 39713 7000 44 accelerate accelerate VB 39713 7000 45 or or CC 39713 7000 46 to to TO 39713 7000 47 retard retard VB 39713 7000 48 the the DT 39713 7000 49 motion motion NN 39713 7000 50 of of IN 39713 7000 51 the the DT 39713 7000 52 point point NN 39713 7000 53 , , , 39713 7000 54 or or CC 39713 7000 55 whether whether IN 39713 7000 56 , , , 39713 7000 57 on on IN 39713 7000 58 the the DT 39713 7000 59 contrary contrary NN 39713 7000 60 , , , 39713 7000 61 being be VBG 39713 7000 62 perpendicular perpendicular JJ 39713 7000 63 to to IN 39713 7000 64 this this DT 39713 7000 65 velocity velocity NN 39713 7000 66 , , , 39713 7000 67 it -PRON- PRP 39713 7000 68 tends tend VBZ 39713 7000 69 to to TO 39713 7000 70 make make VB 39713 7000 71 this this DT 39713 7000 72 motion motion NN 39713 7000 73 deviate deviate NN 39713 7000 74 toward toward IN 39713 7000 75 the the DT 39713 7000 76 right right NN 39713 7000 77 , , , 39713 7000 78 or or CC 39713 7000 79 the the DT 39713 7000 80 left left NN 39713 7000 81 , , , 39713 7000 82 that that DT 39713 7000 83 is be VBZ 39713 7000 84 to to TO 39713 7000 85 say say VB 39713 7000 86 to to IN 39713 7000 87 _ _ NNP 39713 7000 88 curve curve NN 39713 7000 89 _ _ NNP 39713 7000 90 the the DT 39713 7000 91 trajectory trajectory NN 39713 7000 92 ; ; : 39713 7000 93 _ _ NNP 39713 7000 94 C. C. NNP 39713 7000 95 _ _ NNP 39713 7000 96 All all PDT 39713 7000 97 the the DT 39713 7000 98 forces force NNS 39713 7000 99 affecting affect VBG 39713 7000 100 a a DT 39713 7000 101 material material NN 39713 7000 102 point point NN 39713 7000 103 come come VBN 39713 7000 104 from from IN 39713 7000 105 the the DT 39713 7000 106 action action NN 39713 7000 107 of of IN 39713 7000 108 other other JJ 39713 7000 109 material material NN 39713 7000 110 points point NNS 39713 7000 111 ; ; : 39713 7000 112 they -PRON- PRP 39713 7000 113 depend depend VBP 39713 7000 114 only only RB 39713 7000 115 upon upon IN 39713 7000 116 the the DT 39713 7000 117 _ _ NNP 39713 7000 118 relative relative JJ 39713 7000 119 _ _ NNP 39713 7000 120 positions position NNS 39713 7000 121 and and CC 39713 7000 122 velocities velocity NNS 39713 7000 123 of of IN 39713 7000 124 these these DT 39713 7000 125 different different JJ 39713 7000 126 material material NN 39713 7000 127 points point NNS 39713 7000 128 . . . 39713 7001 1 Combining combine VBG 39713 7001 2 the the DT 39713 7001 3 two two CD 39713 7001 4 principles principle NNS 39713 7001 5 _ _ NNP 39713 7001 6 B B NNP 39713 7001 7 _ _ NNP 39713 7001 8 and and CC 39713 7001 9 _ _ NNP 39713 7001 10 C C NNP 39713 7001 11 _ _ NNP 39713 7001 12 , , , 39713 7001 13 we -PRON- PRP 39713 7001 14 reach reach VBP 39713 7001 15 the the DT 39713 7001 16 _ _ NNP 39713 7001 17 principle principle NN 39713 7001 18 of of IN 39713 7001 19 relative relative JJ 39713 7001 20 motion motion NN 39713 7001 21 _ _ NNP 39713 7001 22 , , , 39713 7001 23 in in IN 39713 7001 24 virtue virtue NN 39713 7001 25 of of IN 39713 7001 26 which which WDT 39713 7001 27 the the DT 39713 7001 28 laws law NNS 39713 7001 29 of of IN 39713 7001 30 the the DT 39713 7001 31 motion motion NN 39713 7001 32 of of IN 39713 7001 33 a a DT 39713 7001 34 system system NN 39713 7001 35 are be VBP 39713 7001 36 the the DT 39713 7001 37 same same JJ 39713 7001 38 whether whether IN 39713 7001 39 we -PRON- PRP 39713 7001 40 refer refer VBP 39713 7001 41 this this DT 39713 7001 42 system system NN 39713 7001 43 to to IN 39713 7001 44 fixed fix VBN 39713 7001 45 axes axis NNS 39713 7001 46 , , , 39713 7001 47 or or CC 39713 7001 48 to to IN 39713 7001 49 moving move VBG 39713 7001 50 axes axis NNS 39713 7001 51 animated animate VBN 39713 7001 52 by by IN 39713 7001 53 a a DT 39713 7001 54 straight straight JJ 39713 7001 55 and and CC 39713 7001 56 uniform uniform JJ 39713 7001 57 motion motion NN 39713 7001 58 of of IN 39713 7001 59 translation translation NN 39713 7001 60 , , , 39713 7001 61 so so IN 39713 7001 62 that that IN 39713 7001 63 it -PRON- PRP 39713 7001 64 is be VBZ 39713 7001 65 impossible impossible JJ 39713 7001 66 to to TO 39713 7001 67 distinguish distinguish VB 39713 7001 68 absolute absolute JJ 39713 7001 69 motion motion NN 39713 7001 70 from from IN 39713 7001 71 a a DT 39713 7001 72 relative relative JJ 39713 7001 73 motion motion NN 39713 7001 74 with with IN 39713 7001 75 reference reference NN 39713 7001 76 to to IN 39713 7001 77 such such JJ 39713 7001 78 moving move VBG 39713 7001 79 axes axis NNS 39713 7001 80 ; ; : 39713 7001 81 _ _ NNP 39713 7001 82 D. D. NNP 39713 7001 83 _ _ NNP 39713 7001 84 If if IN 39713 7001 85 a a DT 39713 7001 86 material material JJ 39713 7001 87 point point NN 39713 7001 88 _ _ NNP 39713 7001 89 A A NNP 39713 7001 90 _ _ NNP 39713 7001 91 acts act VBZ 39713 7001 92 upon upon IN 39713 7001 93 another another DT 39713 7001 94 material material JJ 39713 7001 95 point point NN 39713 7001 96 _ _ NNP 39713 7001 97 B B NNP 39713 7001 98 _ _ NNP 39713 7001 99 , , , 39713 7001 100 the the DT 39713 7001 101 body body NN 39713 7001 102 _ _ NNP 39713 7001 103 B B NNP 39713 7001 104 _ _ NNP 39713 7001 105 reacts react VBZ 39713 7001 106 upon upon IN 39713 7001 107 _ _ NNP 39713 7001 108 A A NNP 39713 7001 109 _ _ NNP 39713 7001 110 , , , 39713 7001 111 and and CC 39713 7001 112 these these DT 39713 7001 113 two two CD 39713 7001 114 actions action NNS 39713 7001 115 are be VBP 39713 7001 116 two two CD 39713 7001 117 equal equal JJ 39713 7001 118 and and CC 39713 7001 119 directly directly RB 39713 7001 120 opposite opposite JJ 39713 7001 121 forces force NNS 39713 7001 122 . . . 39713 7002 1 This this DT 39713 7002 2 is be VBZ 39713 7002 3 _ _ NNP 39713 7002 4 the the DT 39713 7002 5 principle principle NN 39713 7002 6 of of IN 39713 7002 7 the the DT 39713 7002 8 equality equality NN 39713 7002 9 of of IN 39713 7002 10 action action NN 39713 7002 11 and and CC 39713 7002 12 reaction reaction NN 39713 7002 13 _ _ NNP 39713 7002 14 , , , 39713 7002 15 or or CC 39713 7002 16 , , , 39713 7002 17 more more RBR 39713 7002 18 briefly briefly RB 39713 7002 19 , , , 39713 7002 20 the the DT 39713 7002 21 _ _ NNP 39713 7002 22 principle principle NN 39713 7002 23 of of IN 39713 7002 24 reaction reaction NN 39713 7002 25 _ _ NNP 39713 7002 26 . . . 39713 7003 1 Astronomic astronomic JJ 39713 7003 2 observations observation NNS 39713 7003 3 and and CC 39713 7003 4 the the DT 39713 7003 5 most most RBS 39713 7003 6 ordinary ordinary JJ 39713 7003 7 physical physical JJ 39713 7003 8 phenomena phenomenon NNS 39713 7003 9 seem seem VBP 39713 7003 10 to to TO 39713 7003 11 have have VB 39713 7003 12 given give VBN 39713 7003 13 of of IN 39713 7003 14 these these DT 39713 7003 15 principles principle NNS 39713 7003 16 a a DT 39713 7003 17 confirmation confirmation NN 39713 7003 18 complete complete JJ 39713 7003 19 , , , 39713 7003 20 constant constant JJ 39713 7003 21 and and CC 39713 7003 22 very very RB 39713 7003 23 precise precise JJ 39713 7003 24 . . . 39713 7004 1 This this DT 39713 7004 2 is be VBZ 39713 7004 3 true true JJ 39713 7004 4 , , , 39713 7004 5 it -PRON- PRP 39713 7004 6 is be VBZ 39713 7004 7 now now RB 39713 7004 8 said say VBN 39713 7004 9 , , , 39713 7004 10 but but CC 39713 7004 11 it -PRON- PRP 39713 7004 12 is be VBZ 39713 7004 13 because because IN 39713 7004 14 we -PRON- PRP 39713 7004 15 have have VBP 39713 7004 16 never never RB 39713 7004 17 operated operate VBN 39713 7004 18 with with IN 39713 7004 19 any any DT 39713 7004 20 but but CC 39713 7004 21 very very RB 39713 7004 22 small small JJ 39713 7004 23 velocities velocity NNS 39713 7004 24 ; ; : 39713 7004 25 Mercury Mercury NNP 39713 7004 26 , , , 39713 7004 27 for for IN 39713 7004 28 example example NN 39713 7004 29 , , , 39713 7004 30 the the DT 39713 7004 31 fastest fast JJS 39713 7004 32 of of IN 39713 7004 33 the the DT 39713 7004 34 planets planet NNS 39713 7004 35 , , , 39713 7004 36 goes go VBZ 39713 7004 37 scarcely scarcely RB 39713 7004 38 100 100 CD 39713 7004 39 kilometers kilometer NNS 39713 7004 40 a a DT 39713 7004 41 second second NN 39713 7004 42 . . . 39713 7005 1 Would Would MD 39713 7005 2 this this DT 39713 7005 3 planet planet NN 39713 7005 4 act act VB 39713 7005 5 the the DT 39713 7005 6 same same JJ 39713 7005 7 if if IN 39713 7005 8 it -PRON- PRP 39713 7005 9 went go VBD 39713 7005 10 a a DT 39713 7005 11 thousand thousand CD 39713 7005 12 times time NNS 39713 7005 13 faster fast RBR 39713 7005 14 ? ? . 39713 7006 1 We -PRON- PRP 39713 7006 2 see see VBP 39713 7006 3 there there EX 39713 7006 4 is be VBZ 39713 7006 5 yet yet RB 39713 7006 6 no no DT 39713 7006 7 need need NN 39713 7006 8 to to TO 39713 7006 9 worry worry VB 39713 7006 10 ; ; : 39713 7006 11 whatever whatever WDT 39713 7006 12 may may MD 39713 7006 13 be be VB 39713 7006 14 the the DT 39713 7006 15 progress progress NN 39713 7006 16 of of IN 39713 7006 17 automobilism automobilism NN 39713 7006 18 , , , 39713 7006 19 it -PRON- PRP 39713 7006 20 will will MD 39713 7006 21 be be VB 39713 7006 22 long long RB 39713 7006 23 before before IN 39713 7006 24 we -PRON- PRP 39713 7006 25 must must MD 39713 7006 26 give give VB 39713 7006 27 up up RP 39713 7006 28 applying apply VBG 39713 7006 29 to to IN 39713 7006 30 our -PRON- PRP$ 39713 7006 31 machines machine NNS 39713 7006 32 the the DT 39713 7006 33 classic classic JJ 39713 7006 34 principles principle NNS 39713 7006 35 of of IN 39713 7006 36 dynamics dynamic NNS 39713 7006 37 . . . 39713 7007 1 How how WRB 39713 7007 2 then then RB 39713 7007 3 have have VBP 39713 7007 4 we -PRON- PRP 39713 7007 5 come come VB 39713 7007 6 to to TO 39713 7007 7 make make VB 39713 7007 8 actual actual JJ 39713 7007 9 speeds speed NNS 39713 7007 10 a a DT 39713 7007 11 thousand thousand CD 39713 7007 12 times time NNS 39713 7007 13 greater great JJR 39713 7007 14 than than IN 39713 7007 15 that that DT 39713 7007 16 of of IN 39713 7007 17 Mercury Mercury NNP 39713 7007 18 , , , 39713 7007 19 equal equal JJ 39713 7007 20 , , , 39713 7007 21 for for IN 39713 7007 22 instance instance NN 39713 7007 23 , , , 39713 7007 24 to to IN 39713 7007 25 a a DT 39713 7007 26 tenth tenth NN 39713 7007 27 or or CC 39713 7007 28 a a DT 39713 7007 29 third third NN 39713 7007 30 of of IN 39713 7007 31 the the DT 39713 7007 32 velocity velocity NN 39713 7007 33 of of IN 39713 7007 34 light light NN 39713 7007 35 , , , 39713 7007 36 or or CC 39713 7007 37 approaching approach VBG 39713 7007 38 still still RB 39713 7007 39 more more RBR 39713 7007 40 closely closely RB 39713 7007 41 to to IN 39713 7007 42 that that DT 39713 7007 43 velocity velocity NN 39713 7007 44 ? ? . 39713 7008 1 It -PRON- PRP 39713 7008 2 is be VBZ 39713 7008 3 by by IN 39713 7008 4 aid aid NN 39713 7008 5 of of IN 39713 7008 6 the the DT 39713 7008 7 cathode cathode NN 39713 7008 8 rays ray NNS 39713 7008 9 and and CC 39713 7008 10 the the DT 39713 7008 11 rays ray NNS 39713 7008 12 from from IN 39713 7008 13 radium radium NN 39713 7008 14 . . . 39713 7009 1 We -PRON- PRP 39713 7009 2 know know VBP 39713 7009 3 that that IN 39713 7009 4 radium radium NN 39713 7009 5 emits emit VBZ 39713 7009 6 three three CD 39713 7009 7 kinds kind NNS 39713 7009 8 of of IN 39713 7009 9 rays ray NNS 39713 7009 10 , , , 39713 7009 11 designated designate VBN 39713 7009 12 by by IN 39713 7009 13 the the DT 39713 7009 14 three three CD 39713 7009 15 Greek greek JJ 39713 7009 16 letters letter NNS 39713 7009 17 [ [ -LRB- 39713 7009 18 alpha alpha NN 39713 7009 19 ] ] -RRB- 39713 7009 20 , , , 39713 7009 21 [ [ -LRB- 39713 7009 22 beta beta NN 39713 7009 23 ] ] -RRB- 39713 7009 24 , , , 39713 7009 25 [ [ -LRB- 39713 7009 26 gamma gamma NN 39713 7009 27 ] ] -RRB- 39713 7009 28 ; ; : 39713 7009 29 in in IN 39713 7009 30 what what WP 39713 7009 31 follows follow VBZ 39713 7009 32 , , , 39713 7009 33 unless unless IN 39713 7009 34 the the DT 39713 7009 35 contrary contrary NN 39713 7009 36 be be VB 39713 7009 37 expressly expressly RB 39713 7009 38 stated state VBN 39713 7009 39 , , , 39713 7009 40 it -PRON- PRP 39713 7009 41 will will MD 39713 7009 42 always always RB 39713 7009 43 be be VB 39713 7009 44 a a DT 39713 7009 45 question question NN 39713 7009 46 of of IN 39713 7009 47 the the DT 39713 7009 48 [ [ -LRB- 39713 7009 49 beta beta NN 39713 7009 50 ] ] -RRB- 39713 7009 51 rays ray NNS 39713 7009 52 , , , 39713 7009 53 which which WDT 39713 7009 54 are be VBP 39713 7009 55 analogous analogous JJ 39713 7009 56 to to IN 39713 7009 57 the the DT 39713 7009 58 cathode cathode NN 39713 7009 59 rays ray NNS 39713 7009 60 . . . 39713 7010 1 After after IN 39713 7010 2 the the DT 39713 7010 3 discovery discovery NN 39713 7010 4 of of IN 39713 7010 5 the the DT 39713 7010 6 cathode cathode NN 39713 7010 7 rays ray NNS 39713 7010 8 two two CD 39713 7010 9 theories theory NNS 39713 7010 10 appeared appear VBD 39713 7010 11 . . . 39713 7011 1 Crookes crooke NNS 39713 7011 2 attributed attribute VBD 39713 7011 3 the the DT 39713 7011 4 phenomena phenomenon NNS 39713 7011 5 to to IN 39713 7011 6 a a DT 39713 7011 7 veritable veritable JJ 39713 7011 8 molecular molecular JJ 39713 7011 9 bombardment bombardment NN 39713 7011 10 ; ; : 39713 7011 11 Hertz Hertz NNP 39713 7011 12 , , , 39713 7011 13 to to IN 39713 7011 14 special special JJ 39713 7011 15 undulations undulation NNS 39713 7011 16 of of IN 39713 7011 17 the the DT 39713 7011 18 ether ether NN 39713 7011 19 . . . 39713 7012 1 This this DT 39713 7012 2 was be VBD 39713 7012 3 a a DT 39713 7012 4 renewal renewal NN 39713 7012 5 of of IN 39713 7012 6 the the DT 39713 7012 7 debate debate NN 39713 7012 8 which which WDT 39713 7012 9 divided divide VBD 39713 7012 10 physicists physicist NNS 39713 7012 11 a a DT 39713 7012 12 century century NN 39713 7012 13 ago ago RB 39713 7012 14 about about IN 39713 7012 15 light light NN 39713 7012 16 ; ; : 39713 7012 17 Crookes crooke NNS 39713 7012 18 took take VBD 39713 7012 19 up up RP 39713 7012 20 the the DT 39713 7012 21 emission emission NN 39713 7012 22 theory theory NN 39713 7012 23 , , , 39713 7012 24 abandoned abandon VBN 39713 7012 25 for for IN 39713 7012 26 light light NN 39713 7012 27 ; ; : 39713 7012 28 Hertz Hertz NNP 39713 7012 29 held hold VBD 39713 7012 30 to to IN 39713 7012 31 the the DT 39713 7012 32 undulatory undulatory JJ 39713 7012 33 theory theory NN 39713 7012 34 . . . 39713 7013 1 The the DT 39713 7013 2 facts fact NNS 39713 7013 3 seem seem VBP 39713 7013 4 to to TO 39713 7013 5 decide decide VB 39713 7013 6 in in IN 39713 7013 7 favor favor NN 39713 7013 8 of of IN 39713 7013 9 Crookes crooke NNS 39713 7013 10 . . . 39713 7014 1 It -PRON- PRP 39713 7014 2 has have VBZ 39713 7014 3 been be VBN 39713 7014 4 recognized recognize VBN 39713 7014 5 , , , 39713 7014 6 in in IN 39713 7014 7 the the DT 39713 7014 8 first first JJ 39713 7014 9 place place NN 39713 7014 10 , , , 39713 7014 11 that that IN 39713 7014 12 the the DT 39713 7014 13 cathode cathode NN 39713 7014 14 rays ray NNS 39713 7014 15 carry carry VBP 39713 7014 16 with with IN 39713 7014 17 them -PRON- PRP 39713 7014 18 a a DT 39713 7014 19 negative negative JJ 39713 7014 20 electric electric JJ 39713 7014 21 charge charge NN 39713 7014 22 ; ; : 39713 7014 23 they -PRON- PRP 39713 7014 24 are be VBP 39713 7014 25 deviated deviate VBN 39713 7014 26 by by IN 39713 7014 27 a a DT 39713 7014 28 magnetic magnetic JJ 39713 7014 29 field field NN 39713 7014 30 and and CC 39713 7014 31 by by IN 39713 7014 32 an an DT 39713 7014 33 electric electric JJ 39713 7014 34 field field NN 39713 7014 35 ; ; : 39713 7014 36 and and CC 39713 7014 37 these these DT 39713 7014 38 deviations deviation NNS 39713 7014 39 are be VBP 39713 7014 40 precisely precisely RB 39713 7014 41 such such JJ 39713 7014 42 as as IN 39713 7014 43 these these DT 39713 7014 44 same same JJ 39713 7014 45 fields field NNS 39713 7014 46 would would MD 39713 7014 47 produce produce VB 39713 7014 48 upon upon IN 39713 7014 49 projectiles projectile NNS 39713 7014 50 animated animate VBN 39713 7014 51 by by IN 39713 7014 52 a a DT 39713 7014 53 very very RB 39713 7014 54 high high JJ 39713 7014 55 velocity velocity NN 39713 7014 56 and and CC 39713 7014 57 strongly strongly RB 39713 7014 58 charged charge VBN 39713 7014 59 with with IN 39713 7014 60 electricity electricity NN 39713 7014 61 . . . 39713 7015 1 These these DT 39713 7015 2 two two CD 39713 7015 3 deviations deviation NNS 39713 7015 4 depend depend VBP 39713 7015 5 upon upon IN 39713 7015 6 two two CD 39713 7015 7 quantities quantity NNS 39713 7015 8 : : : 39713 7015 9 one one CD 39713 7015 10 the the DT 39713 7015 11 velocity velocity NN 39713 7015 12 , , , 39713 7015 13 the the DT 39713 7015 14 other other JJ 39713 7015 15 the the DT 39713 7015 16 relation relation NN 39713 7015 17 of of IN 39713 7015 18 the the DT 39713 7015 19 electric electric JJ 39713 7015 20 charge charge NN 39713 7015 21 of of IN 39713 7015 22 the the DT 39713 7015 23 projectile projectile NN 39713 7015 24 to to IN 39713 7015 25 its -PRON- PRP$ 39713 7015 26 mass mass NN 39713 7015 27 ; ; : 39713 7015 28 we -PRON- PRP 39713 7015 29 can can MD 39713 7015 30 not not RB 39713 7015 31 know know VB 39713 7015 32 the the DT 39713 7015 33 absolute absolute JJ 39713 7015 34 value value NN 39713 7015 35 of of IN 39713 7015 36 this this DT 39713 7015 37 mass mass NN 39713 7015 38 , , , 39713 7015 39 nor nor CC 39713 7015 40 that that DT 39713 7015 41 of of IN 39713 7015 42 the the DT 39713 7015 43 charge charge NN 39713 7015 44 , , , 39713 7015 45 but but CC 39713 7015 46 only only RB 39713 7015 47 their -PRON- PRP$ 39713 7015 48 relation relation NN 39713 7015 49 ; ; : 39713 7015 50 in in IN 39713 7015 51 fact fact NN 39713 7015 52 , , , 39713 7015 53 it -PRON- PRP 39713 7015 54 is be VBZ 39713 7015 55 clear clear JJ 39713 7015 56 that that IN 39713 7015 57 if if IN 39713 7015 58 we -PRON- PRP 39713 7015 59 double double VBP 39713 7015 60 at at IN 39713 7015 61 the the DT 39713 7015 62 same same JJ 39713 7015 63 time time NN 39713 7015 64 the the DT 39713 7015 65 charge charge NN 39713 7015 66 and and CC 39713 7015 67 the the DT 39713 7015 68 mass mass NN 39713 7015 69 , , , 39713 7015 70 without without IN 39713 7015 71 changing change VBG 39713 7015 72 the the DT 39713 7015 73 velocity velocity NN 39713 7015 74 , , , 39713 7015 75 we -PRON- PRP 39713 7015 76 shall shall MD 39713 7015 77 double double VB 39713 7015 78 the the DT 39713 7015 79 force force NN 39713 7015 80 which which WDT 39713 7015 81 tends tend VBZ 39713 7015 82 to to TO 39713 7015 83 deviate deviate VB 39713 7015 84 the the DT 39713 7015 85 projectile projectile NN 39713 7015 86 , , , 39713 7015 87 but but CC 39713 7015 88 , , , 39713 7015 89 as as IN 39713 7015 90 its -PRON- PRP$ 39713 7015 91 mass mass NN 39713 7015 92 is be VBZ 39713 7015 93 also also RB 39713 7015 94 doubled double VBN 39713 7015 95 , , , 39713 7015 96 the the DT 39713 7015 97 acceleration acceleration NN 39713 7015 98 and and CC 39713 7015 99 deviation deviation NN 39713 7015 100 observable observable JJ 39713 7015 101 will will MD 39713 7015 102 not not RB 39713 7015 103 be be VB 39713 7015 104 changed change VBN 39713 7015 105 . . . 39713 7016 1 The the DT 39713 7016 2 observation observation NN 39713 7016 3 of of IN 39713 7016 4 the the DT 39713 7016 5 two two CD 39713 7016 6 deviations deviation NNS 39713 7016 7 will will MD 39713 7016 8 give give VB 39713 7016 9 us -PRON- PRP 39713 7016 10 therefore therefore RB 39713 7016 11 two two CD 39713 7016 12 equations equation NNS 39713 7016 13 to to TO 39713 7016 14 determine determine VB 39713 7016 15 these these DT 39713 7016 16 two two CD 39713 7016 17 unknowns unknown NNS 39713 7016 18 . . . 39713 7017 1 We -PRON- PRP 39713 7017 2 find find VBP 39713 7017 3 a a DT 39713 7017 4 velocity velocity NN 39713 7017 5 of of IN 39713 7017 6 from from IN 39713 7017 7 10,000 10,000 CD 39713 7017 8 to to TO 39713 7017 9 30,000 30,000 CD 39713 7017 10 kilometers kilometer NNS 39713 7017 11 a a DT 39713 7017 12 second second NN 39713 7017 13 ; ; : 39713 7017 14 as as IN 39713 7017 15 to to IN 39713 7017 16 the the DT 39713 7017 17 ratio ratio NN 39713 7017 18 of of IN 39713 7017 19 the the DT 39713 7017 20 charge charge NN 39713 7017 21 to to IN 39713 7017 22 the the DT 39713 7017 23 mass mass NN 39713 7017 24 , , , 39713 7017 25 it -PRON- PRP 39713 7017 26 is be VBZ 39713 7017 27 very very RB 39713 7017 28 great great JJ 39713 7017 29 . . . 39713 7018 1 We -PRON- PRP 39713 7018 2 may may MD 39713 7018 3 compare compare VB 39713 7018 4 it -PRON- PRP 39713 7018 5 to to IN 39713 7018 6 the the DT 39713 7018 7 corresponding corresponding JJ 39713 7018 8 ratio ratio NN 39713 7018 9 in in IN 39713 7018 10 regard regard NN 39713 7018 11 to to IN 39713 7018 12 the the DT 39713 7018 13 hydrogen hydrogen NN 39713 7018 14 ion ion NN 39713 7018 15 in in IN 39713 7018 16 electrolysis electrolysis NN 39713 7018 17 ; ; : 39713 7018 18 we -PRON- PRP 39713 7018 19 then then RB 39713 7018 20 find find VBP 39713 7018 21 that that IN 39713 7018 22 a a DT 39713 7018 23 cathodic cathodic JJ 39713 7018 24 projectile projectile NN 39713 7018 25 carries carry VBZ 39713 7018 26 about about RB 39713 7018 27 a a DT 39713 7018 28 thousand thousand CD 39713 7018 29 times time NNS 39713 7018 30 more more JJR 39713 7018 31 electricity electricity NN 39713 7018 32 than than IN 39713 7018 33 an an DT 39713 7018 34 equal equal JJ 39713 7018 35 mass mass NN 39713 7018 36 of of IN 39713 7018 37 hydrogen hydrogen NN 39713 7018 38 would would MD 39713 7018 39 carry carry VB 39713 7018 40 in in RP 39713 7018 41 an an DT 39713 7018 42 electrolyte electrolyte NN 39713 7018 43 . . . 39713 7019 1 To to TO 39713 7019 2 confirm confirm VB 39713 7019 3 these these DT 39713 7019 4 views view NNS 39713 7019 5 , , , 39713 7019 6 we -PRON- PRP 39713 7019 7 need need VBP 39713 7019 8 a a DT 39713 7019 9 direct direct JJ 39713 7019 10 measurement measurement NN 39713 7019 11 of of IN 39713 7019 12 this this DT 39713 7019 13 velocity velocity NN 39713 7019 14 to to TO 39713 7019 15 compare compare VB 39713 7019 16 with with IN 39713 7019 17 the the DT 39713 7019 18 velocity velocity NN 39713 7019 19 so so RB 39713 7019 20 calculated calculate VBN 39713 7019 21 . . . 39713 7020 1 Old old JJ 39713 7020 2 experiments experiment NNS 39713 7020 3 of of IN 39713 7020 4 J. J. NNP 39713 7020 5 J. J. NNP 39713 7020 6 Thomson Thomson NNP 39713 7020 7 had have VBD 39713 7020 8 given give VBN 39713 7020 9 results result NNS 39713 7020 10 more more JJR 39713 7020 11 than than IN 39713 7020 12 a a DT 39713 7020 13 hundred hundred CD 39713 7020 14 times time NNS 39713 7020 15 too too RB 39713 7020 16 small small JJ 39713 7020 17 ; ; : 39713 7020 18 but but CC 39713 7020 19 they -PRON- PRP 39713 7020 20 were be VBD 39713 7020 21 exposed expose VBN 39713 7020 22 to to IN 39713 7020 23 certain certain JJ 39713 7020 24 causes cause NNS 39713 7020 25 of of IN 39713 7020 26 error error NN 39713 7020 27 . . . 39713 7021 1 The the DT 39713 7021 2 question question NN 39713 7021 3 was be VBD 39713 7021 4 taken take VBN 39713 7021 5 up up RP 39713 7021 6 again again RB 39713 7021 7 by by IN 39713 7021 8 Wiechert Wiechert NNP 39713 7021 9 in in IN 39713 7021 10 an an DT 39713 7021 11 arrangement arrangement NN 39713 7021 12 where where WRB 39713 7021 13 the the DT 39713 7021 14 Hertzian hertzian JJ 39713 7021 15 oscillations oscillation NNS 39713 7021 16 were be VBD 39713 7021 17 utilized utilize VBN 39713 7021 18 ; ; : 39713 7021 19 results result NNS 39713 7021 20 were be VBD 39713 7021 21 found find VBN 39713 7021 22 agreeing agree VBG 39713 7021 23 with with IN 39713 7021 24 the the DT 39713 7021 25 theory theory NN 39713 7021 26 , , , 39713 7021 27 at at IN 39713 7021 28 least least JJS 39713 7021 29 as as IN 39713 7021 30 to to TO 39713 7021 31 order order NN 39713 7021 32 of of IN 39713 7021 33 magnitude magnitude NN 39713 7021 34 ; ; : 39713 7021 35 it -PRON- PRP 39713 7021 36 would would MD 39713 7021 37 be be VB 39713 7021 38 of of IN 39713 7021 39 great great JJ 39713 7021 40 interest interest NN 39713 7021 41 to to TO 39713 7021 42 repeat repeat VB 39713 7021 43 these these DT 39713 7021 44 experiments experiment NNS 39713 7021 45 . . . 39713 7022 1 However however RB 39713 7022 2 that that DT 39713 7022 3 may may MD 39713 7022 4 be be VB 39713 7022 5 , , , 39713 7022 6 the the DT 39713 7022 7 theory theory NN 39713 7022 8 of of IN 39713 7022 9 undulations undulation NNS 39713 7022 10 appears appear VBZ 39713 7022 11 powerless powerless JJ 39713 7022 12 to to TO 39713 7022 13 account account VB 39713 7022 14 for for IN 39713 7022 15 this this DT 39713 7022 16 complex complex NN 39713 7022 17 of of IN 39713 7022 18 facts fact NNS 39713 7022 19 . . . 39713 7023 1 The the DT 39713 7023 2 same same JJ 39713 7023 3 calculations calculation NNS 39713 7023 4 made make VBN 39713 7023 5 with with IN 39713 7023 6 reference reference NN 39713 7023 7 to to IN 39713 7023 8 the the DT 39713 7023 9 [ [ -LRB- 39713 7023 10 beta beta NN 39713 7023 11 ] ] -RRB- 39713 7023 12 rays ray NNS 39713 7023 13 of of IN 39713 7023 14 radium radium NN 39713 7023 15 have have VBP 39713 7023 16 given give VBN 39713 7023 17 velocities velocity NNS 39713 7023 18 still still RB 39713 7023 19 greater great JJR 39713 7023 20 : : : 39713 7023 21 100,000 100,000 CD 39713 7023 22 or or CC 39713 7023 23 200,000 200,000 CD 39713 7023 24 kilometers kilometer NNS 39713 7023 25 or or CC 39713 7023 26 more more RBR 39713 7023 27 yet yet RB 39713 7023 28 . . . 39713 7024 1 These these DT 39713 7024 2 velocities velocity NNS 39713 7024 3 greatly greatly RB 39713 7024 4 surpass surpass VBP 39713 7024 5 all all PDT 39713 7024 6 those those DT 39713 7024 7 we -PRON- PRP 39713 7024 8 know know VBP 39713 7024 9 . . . 39713 7025 1 It -PRON- PRP 39713 7025 2 is be VBZ 39713 7025 3 true true JJ 39713 7025 4 that that IN 39713 7025 5 light light NN 39713 7025 6 has have VBZ 39713 7025 7 long long RB 39713 7025 8 been be VBN 39713 7025 9 known know VBN 39713 7025 10 to to TO 39713 7025 11 go go VB 39713 7025 12 300,000 300,000 CD 39713 7025 13 kilometers kilometer NNS 39713 7025 14 a a DT 39713 7025 15 second second NN 39713 7025 16 ; ; : 39713 7025 17 but but CC 39713 7025 18 it -PRON- PRP 39713 7025 19 is be VBZ 39713 7025 20 not not RB 39713 7025 21 a a DT 39713 7025 22 carrying carrying NN 39713 7025 23 of of IN 39713 7025 24 matter matter NN 39713 7025 25 , , , 39713 7025 26 while while IN 39713 7025 27 , , , 39713 7025 28 if if IN 39713 7025 29 we -PRON- PRP 39713 7025 30 adopt adopt VBP 39713 7025 31 the the DT 39713 7025 32 emission emission NN 39713 7025 33 theory theory NN 39713 7025 34 for for IN 39713 7025 35 the the DT 39713 7025 36 cathode cathode NN 39713 7025 37 rays ray NNS 39713 7025 38 , , , 39713 7025 39 there there EX 39713 7025 40 would would MD 39713 7025 41 be be VB 39713 7025 42 material material NN 39713 7025 43 molecules molecule NNS 39713 7025 44 really really RB 39713 7025 45 impelled impel VBN 39713 7025 46 at at IN 39713 7025 47 the the DT 39713 7025 48 velocities velocity NNS 39713 7025 49 in in IN 39713 7025 50 question question NN 39713 7025 51 , , , 39713 7025 52 and and CC 39713 7025 53 it -PRON- PRP 39713 7025 54 is be VBZ 39713 7025 55 proper proper JJ 39713 7025 56 to to TO 39713 7025 57 investigate investigate VB 39713 7025 58 whether whether IN 39713 7025 59 the the DT 39713 7025 60 ordinary ordinary JJ 39713 7025 61 laws law NNS 39713 7025 62 of of IN 39713 7025 63 mechanics mechanic NNS 39713 7025 64 are be VBP 39713 7025 65 still still RB 39713 7025 66 applicable applicable JJ 39713 7025 67 to to IN 39713 7025 68 them -PRON- PRP 39713 7025 69 . . . 39713 7026 1 II II NNP 39713 7026 2 _ _ NNP 39713 7026 3 Mass Mass NNP 39713 7026 4 Longitudinal Longitudinal NNP 39713 7026 5 and and CC 39713 7026 6 Mass Mass NNP 39713 7026 7 Transversal Transversal NNP 39713 7026 8 _ _ NNP 39713 7026 9 We -PRON- PRP 39713 7026 10 know know VBP 39713 7026 11 that that IN 39713 7026 12 electric electric JJ 39713 7026 13 currents current NNS 39713 7026 14 produce produce VBP 39713 7026 15 the the DT 39713 7026 16 phenomena phenomenon NNS 39713 7026 17 of of IN 39713 7026 18 induction induction NN 39713 7026 19 , , , 39713 7026 20 in in IN 39713 7026 21 particular particular JJ 39713 7026 22 _ _ NNP 39713 7026 23 self self NN 39713 7026 24 - - HYPH 39713 7026 25 induction induction NNP 39713 7026 26 _ _ NNP 39713 7026 27 . . . 39713 7027 1 When when WRB 39713 7027 2 a a DT 39713 7027 3 current current JJ 39713 7027 4 increases increase NNS 39713 7027 5 , , , 39713 7027 6 there there EX 39713 7027 7 develops develop VBZ 39713 7027 8 an an DT 39713 7027 9 electromotive electromotive JJ 39713 7027 10 force force NN 39713 7027 11 of of IN 39713 7027 12 self self NN 39713 7027 13 - - HYPH 39713 7027 14 induction induction NNP 39713 7027 15 which which WDT 39713 7027 16 tends tend VBZ 39713 7027 17 to to TO 39713 7027 18 oppose oppose VB 39713 7027 19 the the DT 39713 7027 20 current current NN 39713 7027 21 ; ; : 39713 7027 22 on on IN 39713 7027 23 the the DT 39713 7027 24 contrary contrary NN 39713 7027 25 , , , 39713 7027 26 when when WRB 39713 7027 27 the the DT 39713 7027 28 current current JJ 39713 7027 29 decreases decrease VBZ 39713 7027 30 , , , 39713 7027 31 the the DT 39713 7027 32 electromotive electromotive JJ 39713 7027 33 force force NN 39713 7027 34 of of IN 39713 7027 35 self self NN 39713 7027 36 - - HYPH 39713 7027 37 induction induction NN 39713 7027 38 tends tend VBZ 39713 7027 39 to to TO 39713 7027 40 maintain maintain VB 39713 7027 41 the the DT 39713 7027 42 current current NN 39713 7027 43 . . . 39713 7028 1 The the DT 39713 7028 2 self self NN 39713 7028 3 - - HYPH 39713 7028 4 induction induction NN 39713 7028 5 therefore therefore RB 39713 7028 6 opposes oppose VBZ 39713 7028 7 every every DT 39713 7028 8 variation variation NN 39713 7028 9 of of IN 39713 7028 10 the the DT 39713 7028 11 intensity intensity NN 39713 7028 12 of of IN 39713 7028 13 the the DT 39713 7028 14 current current NN 39713 7028 15 , , , 39713 7028 16 just just RB 39713 7028 17 as as IN 39713 7028 18 in in IN 39713 7028 19 mechanics mechanic NNS 39713 7028 20 the the DT 39713 7028 21 inertia inertia NN 39713 7028 22 of of IN 39713 7028 23 a a DT 39713 7028 24 body body NN 39713 7028 25 opposes oppose VBZ 39713 7028 26 every every DT 39713 7028 27 variation variation NN 39713 7028 28 of of IN 39713 7028 29 its -PRON- PRP$ 39713 7028 30 velocity velocity NN 39713 7028 31 . . . 39713 7029 1 _ _ NNP 39713 7029 2 Self Self NNP 39713 7029 3 - - HYPH 39713 7029 4 induction induction NNP 39713 7029 5 is be VBZ 39713 7029 6 a a DT 39713 7029 7 veritable veritable JJ 39713 7029 8 inertia inertia NN 39713 7029 9 . . . 39713 7029 10 _ _ NNP 39713 7029 11 Everything Everything NNP 39713 7029 12 happens happen VBZ 39713 7029 13 as as IN 39713 7029 14 if if IN 39713 7029 15 the the DT 39713 7029 16 current current NN 39713 7029 17 could could MD 39713 7029 18 not not RB 39713 7029 19 establish establish VB 39713 7029 20 itself -PRON- PRP 39713 7029 21 without without IN 39713 7029 22 putting put VBG 39713 7029 23 in in RP 39713 7029 24 motion motion NN 39713 7029 25 the the DT 39713 7029 26 surrounding surround VBG 39713 7029 27 ether ether NN 39713 7029 28 and and CC 39713 7029 29 as as IN 39713 7029 30 if if IN 39713 7029 31 the the DT 39713 7029 32 inertia inertia NN 39713 7029 33 of of IN 39713 7029 34 this this DT 39713 7029 35 ether ether NN 39713 7029 36 tended tend VBD 39713 7029 37 , , , 39713 7029 38 in in IN 39713 7029 39 consequence consequence NN 39713 7029 40 , , , 39713 7029 41 to to TO 39713 7029 42 keep keep VB 39713 7029 43 constant constant JJ 39713 7029 44 the the DT 39713 7029 45 intensity intensity NN 39713 7029 46 of of IN 39713 7029 47 this this DT 39713 7029 48 current current NN 39713 7029 49 . . . 39713 7030 1 It -PRON- PRP 39713 7030 2 would would MD 39713 7030 3 be be VB 39713 7030 4 requisite requisite JJ 39713 7030 5 to to TO 39713 7030 6 overcome overcome VB 39713 7030 7 this this DT 39713 7030 8 inertia inertia NN 39713 7030 9 to to TO 39713 7030 10 establish establish VB 39713 7030 11 the the DT 39713 7030 12 current current NN 39713 7030 13 , , , 39713 7030 14 it -PRON- PRP 39713 7030 15 would would MD 39713 7030 16 be be VB 39713 7030 17 necessary necessary JJ 39713 7030 18 to to TO 39713 7030 19 overcome overcome VB 39713 7030 20 it -PRON- PRP 39713 7030 21 again again RB 39713 7030 22 to to TO 39713 7030 23 make make VB 39713 7030 24 the the DT 39713 7030 25 current current JJ 39713 7030 26 cease cease NN 39713 7030 27 . . . 39713 7031 1 A a DT 39713 7031 2 cathode cathode NN 39713 7031 3 ray ray NN 39713 7031 4 , , , 39713 7031 5 which which WDT 39713 7031 6 is be VBZ 39713 7031 7 a a DT 39713 7031 8 rain rain NN 39713 7031 9 of of IN 39713 7031 10 projectiles projectile NNS 39713 7031 11 charged charge VBN 39713 7031 12 with with IN 39713 7031 13 negative negative JJ 39713 7031 14 electricity electricity NN 39713 7031 15 , , , 39713 7031 16 may may MD 39713 7031 17 be be VB 39713 7031 18 likened liken VBN 39713 7031 19 to to IN 39713 7031 20 a a DT 39713 7031 21 current current NN 39713 7031 22 ; ; : 39713 7031 23 doubtless doubtless RB 39713 7031 24 this this DT 39713 7031 25 current current JJ 39713 7031 26 differs differ NNS 39713 7031 27 , , , 39713 7031 28 at at IN 39713 7031 29 first first JJ 39713 7031 30 sight sight NN 39713 7031 31 at at IN 39713 7031 32 least least JJS 39713 7031 33 , , , 39713 7031 34 from from IN 39713 7031 35 the the DT 39713 7031 36 currents current NNS 39713 7031 37 of of IN 39713 7031 38 ordinary ordinary JJ 39713 7031 39 conduction conduction NN 39713 7031 40 , , , 39713 7031 41 where where WRB 39713 7031 42 the the DT 39713 7031 43 matter matter NN 39713 7031 44 does do VBZ 39713 7031 45 not not RB 39713 7031 46 move move VB 39713 7031 47 and and CC 39713 7031 48 where where WRB 39713 7031 49 the the DT 39713 7031 50 electricity electricity NN 39713 7031 51 circulates circulate VBZ 39713 7031 52 through through IN 39713 7031 53 the the DT 39713 7031 54 matter matter NN 39713 7031 55 . . . 39713 7032 1 This this DT 39713 7032 2 is be VBZ 39713 7032 3 a a DT 39713 7032 4 _ _ NNP 39713 7032 5 current current NN 39713 7032 6 of of IN 39713 7032 7 convection convection NN 39713 7032 8 _ _ NNP 39713 7032 9 , , , 39713 7032 10 where where WRB 39713 7032 11 the the DT 39713 7032 12 electricity electricity NN 39713 7032 13 , , , 39713 7032 14 attached attach VBN 39713 7032 15 to to IN 39713 7032 16 a a DT 39713 7032 17 material material JJ 39713 7032 18 vehicle vehicle NN 39713 7032 19 , , , 39713 7032 20 is be VBZ 39713 7032 21 carried carry VBN 39713 7032 22 along along RP 39713 7032 23 by by IN 39713 7032 24 the the DT 39713 7032 25 motion motion NN 39713 7032 26 of of IN 39713 7032 27 this this DT 39713 7032 28 vehicle vehicle NN 39713 7032 29 . . . 39713 7033 1 But but CC 39713 7033 2 Rowland Rowland NNP 39713 7033 3 has have VBZ 39713 7033 4 proved prove VBN 39713 7033 5 that that IN 39713 7033 6 currents current NNS 39713 7033 7 of of IN 39713 7033 8 convection convection NN 39713 7033 9 produce produce VBP 39713 7033 10 the the DT 39713 7033 11 same same JJ 39713 7033 12 magnetic magnetic JJ 39713 7033 13 effects effect NNS 39713 7033 14 as as IN 39713 7033 15 currents current NNS 39713 7033 16 of of IN 39713 7033 17 conduction conduction NN 39713 7033 18 ; ; : 39713 7033 19 they -PRON- PRP 39713 7033 20 should should MD 39713 7033 21 produce produce VB 39713 7033 22 also also RB 39713 7033 23 the the DT 39713 7033 24 same same JJ 39713 7033 25 effects effect NNS 39713 7033 26 of of IN 39713 7033 27 induction induction NN 39713 7033 28 . . . 39713 7034 1 First first RB 39713 7034 2 , , , 39713 7034 3 if if IN 39713 7034 4 this this DT 39713 7034 5 were be VBD 39713 7034 6 not not RB 39713 7034 7 so so RB 39713 7034 8 , , , 39713 7034 9 the the DT 39713 7034 10 principle principle NN 39713 7034 11 of of IN 39713 7034 12 the the DT 39713 7034 13 conservation conservation NN 39713 7034 14 of of IN 39713 7034 15 energy energy NN 39713 7034 16 would would MD 39713 7034 17 be be VB 39713 7034 18 violated violate VBN 39713 7034 19 ; ; : 39713 7034 20 besides besides RB 39713 7034 21 , , , 39713 7034 22 Crémieu Crémieu NNP 39713 7034 23 and and CC 39713 7034 24 Pender Pender NNP 39713 7034 25 have have VBP 39713 7034 26 employed employ VBN 39713 7034 27 a a DT 39713 7034 28 method method NN 39713 7034 29 putting put VBG 39713 7034 30 in in IN 39713 7034 31 evidence evidence NN 39713 7034 32 _ _ NNP 39713 7034 33 directly directly RB 39713 7034 34 _ _ IN 39713 7034 35 these these DT 39713 7034 36 effects effect NNS 39713 7034 37 of of IN 39713 7034 38 induction induction NN 39713 7034 39 . . . 39713 7035 1 If if IN 39713 7035 2 the the DT 39713 7035 3 velocity velocity NN 39713 7035 4 of of IN 39713 7035 5 a a DT 39713 7035 6 cathode cathode NN 39713 7035 7 corpuscle corpuscle NN 39713 7035 8 varies vary VBZ 39713 7035 9 , , , 39713 7035 10 the the DT 39713 7035 11 intensity intensity NN 39713 7035 12 of of IN 39713 7035 13 the the DT 39713 7035 14 corresponding correspond VBG 39713 7035 15 current current NN 39713 7035 16 will will MD 39713 7035 17 likewise likewise RB 39713 7035 18 vary vary VB 39713 7035 19 ; ; : 39713 7035 20 and and CC 39713 7035 21 there there EX 39713 7035 22 will will MD 39713 7035 23 develop develop VB 39713 7035 24 effects effect NNS 39713 7035 25 of of IN 39713 7035 26 self self NN 39713 7035 27 - - HYPH 39713 7035 28 induction induction NN 39713 7035 29 which which WDT 39713 7035 30 will will MD 39713 7035 31 tend tend VB 39713 7035 32 to to TO 39713 7035 33 oppose oppose VB 39713 7035 34 this this DT 39713 7035 35 variation variation NN 39713 7035 36 . . . 39713 7036 1 These these DT 39713 7036 2 corpuscles corpuscle NNS 39713 7036 3 should should MD 39713 7036 4 therefore therefore RB 39713 7036 5 possess possess VB 39713 7036 6 a a DT 39713 7036 7 double double JJ 39713 7036 8 inertia inertia NN 39713 7036 9 : : : 39713 7036 10 first first RB 39713 7036 11 their -PRON- PRP$ 39713 7036 12 own own JJ 39713 7036 13 proper proper JJ 39713 7036 14 inertia inertia NN 39713 7036 15 , , , 39713 7036 16 and and CC 39713 7036 17 then then RB 39713 7036 18 the the DT 39713 7036 19 apparent apparent JJ 39713 7036 20 inertia inertia NN 39713 7036 21 , , , 39713 7036 22 due due IN 39713 7036 23 to to IN 39713 7036 24 self self NN 39713 7036 25 - - HYPH 39713 7036 26 induction induction NN 39713 7036 27 , , , 39713 7036 28 which which WDT 39713 7036 29 produces produce VBZ 39713 7036 30 the the DT 39713 7036 31 same same JJ 39713 7036 32 effects effect NNS 39713 7036 33 . . . 39713 7037 1 They -PRON- PRP 39713 7037 2 will will MD 39713 7037 3 therefore therefore RB 39713 7037 4 have have VB 39713 7037 5 a a DT 39713 7037 6 total total JJ 39713 7037 7 apparent apparent JJ 39713 7037 8 mass mass NN 39713 7037 9 , , , 39713 7037 10 composed compose VBN 39713 7037 11 of of IN 39713 7037 12 their -PRON- PRP$ 39713 7037 13 real real JJ 39713 7037 14 mass mass NN 39713 7037 15 and and CC 39713 7037 16 of of IN 39713 7037 17 a a DT 39713 7037 18 fictitious fictitious JJ 39713 7037 19 mass mass NN 39713 7037 20 of of IN 39713 7037 21 electromagnetic electromagnetic JJ 39713 7037 22 origin origin NN 39713 7037 23 . . . 39713 7038 1 Calculation calculation NN 39713 7038 2 shows show VBZ 39713 7038 3 that that IN 39713 7038 4 this this DT 39713 7038 5 fictitious fictitious JJ 39713 7038 6 mass mass NN 39713 7038 7 varies vary VBZ 39713 7038 8 with with IN 39713 7038 9 the the DT 39713 7038 10 velocity velocity NN 39713 7038 11 , , , 39713 7038 12 and and CC 39713 7038 13 that that IN 39713 7038 14 the the DT 39713 7038 15 force force NN 39713 7038 16 of of IN 39713 7038 17 inertia inertia NN 39713 7038 18 of of IN 39713 7038 19 self self NN 39713 7038 20 - - HYPH 39713 7038 21 induction induction NN 39713 7038 22 is be VBZ 39713 7038 23 not not RB 39713 7038 24 the the DT 39713 7038 25 same same JJ 39713 7038 26 when when WRB 39713 7038 27 the the DT 39713 7038 28 velocity velocity NN 39713 7038 29 of of IN 39713 7038 30 the the DT 39713 7038 31 projectile projectile NN 39713 7038 32 accelerates accelerate VBZ 39713 7038 33 or or CC 39713 7038 34 slackens slacken VBZ 39713 7038 35 , , , 39713 7038 36 or or CC 39713 7038 37 when when WRB 39713 7038 38 it -PRON- PRP 39713 7038 39 is be VBZ 39713 7038 40 deviated deviate VBN 39713 7038 41 ; ; : 39713 7038 42 therefore therefore RB 39713 7038 43 so so IN 39713 7038 44 it -PRON- PRP 39713 7038 45 is be VBZ 39713 7038 46 with with IN 39713 7038 47 the the DT 39713 7038 48 force force NN 39713 7038 49 of of IN 39713 7038 50 the the DT 39713 7038 51 total total JJ 39713 7038 52 apparent apparent JJ 39713 7038 53 inertia inertia NN 39713 7038 54 . . . 39713 7039 1 The the DT 39713 7039 2 total total JJ 39713 7039 3 apparent apparent JJ 39713 7039 4 mass mass NN 39713 7039 5 is be VBZ 39713 7039 6 therefore therefore RB 39713 7039 7 not not RB 39713 7039 8 the the DT 39713 7039 9 same same JJ 39713 7039 10 when when WRB 39713 7039 11 the the DT 39713 7039 12 real real JJ 39713 7039 13 force force NN 39713 7039 14 applied apply VBD 39713 7039 15 to to IN 39713 7039 16 the the DT 39713 7039 17 corpuscle corpuscle NN 39713 7039 18 is be VBZ 39713 7039 19 parallel parallel JJ 39713 7039 20 to to IN 39713 7039 21 its -PRON- PRP$ 39713 7039 22 velocity velocity NN 39713 7039 23 and and CC 39713 7039 24 tends tend VBZ 39713 7039 25 to to TO 39713 7039 26 accelerate accelerate VB 39713 7039 27 the the DT 39713 7039 28 motion motion NN 39713 7039 29 as as IN 39713 7039 30 when when WRB 39713 7039 31 it -PRON- PRP 39713 7039 32 is be VBZ 39713 7039 33 perpendicular perpendicular JJ 39713 7039 34 to to IN 39713 7039 35 this this DT 39713 7039 36 velocity velocity NN 39713 7039 37 and and CC 39713 7039 38 tends tend VBZ 39713 7039 39 to to TO 39713 7039 40 make make VB 39713 7039 41 the the DT 39713 7039 42 direction direction NN 39713 7039 43 vary vary VB 39713 7039 44 . . . 39713 7040 1 It -PRON- PRP 39713 7040 2 is be VBZ 39713 7040 3 necessary necessary JJ 39713 7040 4 therefore therefore RB 39713 7040 5 to to TO 39713 7040 6 distinguish distinguish VB 39713 7040 7 the the DT 39713 7040 8 _ _ NNP 39713 7040 9 total total JJ 39713 7040 10 longitudinal longitudinal JJ 39713 7040 11 mass mass NN 39713 7040 12 _ _ NNP 39713 7040 13 from from IN 39713 7040 14 the the DT 39713 7040 15 _ _ NNP 39713 7040 16 total total NN 39713 7040 17 transversal transversal NN 39713 7040 18 mass mass NNP 39713 7040 19 _ _ NNP 39713 7040 20 . . . 39713 7041 1 These these DT 39713 7041 2 two two CD 39713 7041 3 total total JJ 39713 7041 4 masses masse NNS 39713 7041 5 depend depend VBP 39713 7041 6 , , , 39713 7041 7 moreover moreover RB 39713 7041 8 , , , 39713 7041 9 upon upon IN 39713 7041 10 the the DT 39713 7041 11 velocity velocity NN 39713 7041 12 . . . 39713 7042 1 This this DT 39713 7042 2 follows follow VBZ 39713 7042 3 from from IN 39713 7042 4 the the DT 39713 7042 5 theoretical theoretical JJ 39713 7042 6 work work NN 39713 7042 7 of of IN 39713 7042 8 Abraham Abraham NNP 39713 7042 9 . . . 39713 7043 1 In in IN 39713 7043 2 the the DT 39713 7043 3 measurements measurement NNS 39713 7043 4 of of IN 39713 7043 5 which which WDT 39713 7043 6 we -PRON- PRP 39713 7043 7 speak speak VBP 39713 7043 8 in in IN 39713 7043 9 the the DT 39713 7043 10 preceding precede VBG 39713 7043 11 section section NN 39713 7043 12 , , , 39713 7043 13 what what WP 39713 7043 14 is be VBZ 39713 7043 15 it -PRON- PRP 39713 7043 16 we -PRON- PRP 39713 7043 17 determine determine VBP 39713 7043 18 in in IN 39713 7043 19 measuring measure VBG 39713 7043 20 the the DT 39713 7043 21 two two CD 39713 7043 22 deviations deviation NNS 39713 7043 23 ? ? . 39713 7044 1 It -PRON- PRP 39713 7044 2 is be VBZ 39713 7044 3 the the DT 39713 7044 4 velocity velocity NN 39713 7044 5 on on IN 39713 7044 6 the the DT 39713 7044 7 one one CD 39713 7044 8 hand hand NN 39713 7044 9 , , , 39713 7044 10 and and CC 39713 7044 11 on on IN 39713 7044 12 the the DT 39713 7044 13 other other JJ 39713 7044 14 hand hand NN 39713 7044 15 the the DT 39713 7044 16 ratio ratio NN 39713 7044 17 of of IN 39713 7044 18 the the DT 39713 7044 19 charge charge NN 39713 7044 20 to to IN 39713 7044 21 the the DT 39713 7044 22 _ _ NNP 39713 7044 23 total total NN 39713 7044 24 transversal transversal NN 39713 7044 25 mass mass NNP 39713 7044 26 _ _ NNP 39713 7044 27 . . . 39713 7045 1 How how WRB 39713 7045 2 , , , 39713 7045 3 under under IN 39713 7045 4 these these DT 39713 7045 5 conditions condition NNS 39713 7045 6 , , , 39713 7045 7 can can MD 39713 7045 8 we -PRON- PRP 39713 7045 9 make make VB 39713 7045 10 out out RP 39713 7045 11 in in IN 39713 7045 12 this this DT 39713 7045 13 total total JJ 39713 7045 14 mass mass NN 39713 7045 15 the the DT 39713 7045 16 part part NN 39713 7045 17 of of IN 39713 7045 18 the the DT 39713 7045 19 real real JJ 39713 7045 20 mass mass NN 39713 7045 21 and and CC 39713 7045 22 that that DT 39713 7045 23 of of IN 39713 7045 24 the the DT 39713 7045 25 fictitious fictitious JJ 39713 7045 26 electromagnetic electromagnetic JJ 39713 7045 27 mass mass NN 39713 7045 28 ? ? . 39713 7046 1 If if IN 39713 7046 2 we -PRON- PRP 39713 7046 3 had have VBD 39713 7046 4 only only RB 39713 7046 5 the the DT 39713 7046 6 cathode cathode NN 39713 7046 7 rays ray NNS 39713 7046 8 properly properly RB 39713 7046 9 so so RB 39713 7046 10 called call VBN 39713 7046 11 , , , 39713 7046 12 it -PRON- PRP 39713 7046 13 could could MD 39713 7046 14 not not RB 39713 7046 15 be be VB 39713 7046 16 dreamed dream VBN 39713 7046 17 of of IN 39713 7046 18 ; ; : 39713 7046 19 but but CC 39713 7046 20 happily happily RB 39713 7046 21 we -PRON- PRP 39713 7046 22 have have VBP 39713 7046 23 the the DT 39713 7046 24 rays ray NNS 39713 7046 25 of of IN 39713 7046 26 radium radium NN 39713 7046 27 which which WDT 39713 7046 28 , , , 39713 7046 29 as as IN 39713 7046 30 we -PRON- PRP 39713 7046 31 have have VBP 39713 7046 32 seen see VBN 39713 7046 33 , , , 39713 7046 34 are be VBP 39713 7046 35 notably notably RB 39713 7046 36 swifter swifter JJ 39713 7046 37 . . . 39713 7047 1 These these DT 39713 7047 2 rays ray NNS 39713 7047 3 are be VBP 39713 7047 4 not not RB 39713 7047 5 all all DT 39713 7047 6 identical identical JJ 39713 7047 7 and and CC 39713 7047 8 do do VBP 39713 7047 9 not not RB 39713 7047 10 behave behave VB 39713 7047 11 in in IN 39713 7047 12 the the DT 39713 7047 13 same same JJ 39713 7047 14 way way NN 39713 7047 15 under under IN 39713 7047 16 the the DT 39713 7047 17 action action NN 39713 7047 18 of of IN 39713 7047 19 an an DT 39713 7047 20 electric electric JJ 39713 7047 21 field field NN 39713 7047 22 and and CC 39713 7047 23 a a DT 39713 7047 24 magnetic magnetic JJ 39713 7047 25 field field NN 39713 7047 26 . . . 39713 7048 1 It -PRON- PRP 39713 7048 2 is be VBZ 39713 7048 3 found find VBN 39713 7048 4 that that IN 39713 7048 5 the the DT 39713 7048 6 electric electric JJ 39713 7048 7 deviation deviation NN 39713 7048 8 is be VBZ 39713 7048 9 a a DT 39713 7048 10 function function NN 39713 7048 11 of of IN 39713 7048 12 the the DT 39713 7048 13 magnetic magnetic JJ 39713 7048 14 deviation deviation NN 39713 7048 15 , , , 39713 7048 16 and and CC 39713 7048 17 we -PRON- PRP 39713 7048 18 are be VBP 39713 7048 19 able able JJ 39713 7048 20 , , , 39713 7048 21 by by IN 39713 7048 22 receiving receive VBG 39713 7048 23 on on IN 39713 7048 24 a a DT 39713 7048 25 sensitive sensitive JJ 39713 7048 26 plate plate NN 39713 7048 27 radium radium NN 39713 7048 28 rays ray NNS 39713 7048 29 which which WDT 39713 7048 30 have have VBP 39713 7048 31 been be VBN 39713 7048 32 subjected subject VBN 39713 7048 33 to to IN 39713 7048 34 the the DT 39713 7048 35 action action NN 39713 7048 36 of of IN 39713 7048 37 the the DT 39713 7048 38 two two CD 39713 7048 39 fields field NNS 39713 7048 40 , , , 39713 7048 41 to to TO 39713 7048 42 photograph photograph VB 39713 7048 43 the the DT 39713 7048 44 curve curve NN 39713 7048 45 which which WDT 39713 7048 46 represents represent VBZ 39713 7048 47 the the DT 39713 7048 48 relation relation NN 39713 7048 49 between between IN 39713 7048 50 these these DT 39713 7048 51 two two CD 39713 7048 52 deviations deviation NNS 39713 7048 53 . . . 39713 7049 1 This this DT 39713 7049 2 is be VBZ 39713 7049 3 what what WP 39713 7049 4 Kaufmann Kaufmann NNP 39713 7049 5 has have VBZ 39713 7049 6 done do VBN 39713 7049 7 , , , 39713 7049 8 deducing deduce VBG 39713 7049 9 from from IN 39713 7049 10 it -PRON- PRP 39713 7049 11 the the DT 39713 7049 12 relation relation NN 39713 7049 13 between between IN 39713 7049 14 the the DT 39713 7049 15 velocity velocity NN 39713 7049 16 and and CC 39713 7049 17 the the DT 39713 7049 18 ratio ratio NN 39713 7049 19 of of IN 39713 7049 20 the the DT 39713 7049 21 charge charge NN 39713 7049 22 to to IN 39713 7049 23 the the DT 39713 7049 24 total total JJ 39713 7049 25 apparent apparent JJ 39713 7049 26 mass mass NN 39713 7049 27 , , , 39713 7049 28 a a DT 39713 7049 29 ratio ratio NN 39713 7049 30 we -PRON- PRP 39713 7049 31 shall shall MD 39713 7049 32 call call VB 39713 7049 33 [ [ -LRB- 39713 7049 34 epsilon epsilon NN 39713 7049 35 ] ] -RRB- 39713 7049 36 . . . 39713 7050 1 One one PRP 39713 7050 2 might may MD 39713 7050 3 suppose suppose VB 39713 7050 4 there there EX 39713 7050 5 are be VBP 39713 7050 6 several several JJ 39713 7050 7 species specie NNS 39713 7050 8 of of IN 39713 7050 9 rays ray NNS 39713 7050 10 , , , 39713 7050 11 each each DT 39713 7050 12 characterized characterize VBN 39713 7050 13 by by IN 39713 7050 14 a a DT 39713 7050 15 fixed fix VBN 39713 7050 16 velocity velocity NN 39713 7050 17 , , , 39713 7050 18 by by IN 39713 7050 19 a a DT 39713 7050 20 fixed fix VBN 39713 7050 21 charge charge NN 39713 7050 22 and and CC 39713 7050 23 by by IN 39713 7050 24 a a DT 39713 7050 25 fixed fix VBN 39713 7050 26 mass mass NN 39713 7050 27 . . . 39713 7051 1 But but CC 39713 7051 2 this this DT 39713 7051 3 hypothesis hypothesis NN 39713 7051 4 is be VBZ 39713 7051 5 improbable improbable JJ 39713 7051 6 ; ; : 39713 7051 7 why why WRB 39713 7051 8 , , , 39713 7051 9 in in IN 39713 7051 10 fact fact NN 39713 7051 11 , , , 39713 7051 12 would would MD 39713 7051 13 all all PDT 39713 7051 14 the the DT 39713 7051 15 corpuscles corpuscle NNS 39713 7051 16 of of IN 39713 7051 17 the the DT 39713 7051 18 same same JJ 39713 7051 19 mass mass NN 39713 7051 20 take take VBP 39713 7051 21 always always RB 39713 7051 22 the the DT 39713 7051 23 same same JJ 39713 7051 24 velocity velocity NN 39713 7051 25 ? ? . 39713 7052 1 It -PRON- PRP 39713 7052 2 is be VBZ 39713 7052 3 more more RBR 39713 7052 4 natural natural JJ 39713 7052 5 to to TO 39713 7052 6 suppose suppose VB 39713 7052 7 that that IN 39713 7052 8 the the DT 39713 7052 9 charge charge NN 39713 7052 10 as as RB 39713 7052 11 well well RB 39713 7052 12 as as IN 39713 7052 13 the the DT 39713 7052 14 _ _ NNP 39713 7052 15 real real JJ 39713 7052 16 _ _ NNP 39713 7052 17 mass mass NN 39713 7052 18 are be VBP 39713 7052 19 the the DT 39713 7052 20 same same JJ 39713 7052 21 for for IN 39713 7052 22 all all PDT 39713 7052 23 the the DT 39713 7052 24 projectiles projectile NNS 39713 7052 25 , , , 39713 7052 26 and and CC 39713 7052 27 that that IN 39713 7052 28 these these DT 39713 7052 29 differ differ VBP 39713 7052 30 only only RB 39713 7052 31 by by IN 39713 7052 32 their -PRON- PRP$ 39713 7052 33 velocity velocity NN 39713 7052 34 . . . 39713 7053 1 If if IN 39713 7053 2 the the DT 39713 7053 3 ratio ratio NN 39713 7053 4 [ [ -LRB- 39713 7053 5 epsilon epsilon NN 39713 7053 6 ] ] -RRB- 39713 7053 7 is be VBZ 39713 7053 8 a a DT 39713 7053 9 function function NN 39713 7053 10 of of IN 39713 7053 11 the the DT 39713 7053 12 velocity velocity NN 39713 7053 13 , , , 39713 7053 14 this this DT 39713 7053 15 is be VBZ 39713 7053 16 not not RB 39713 7053 17 because because IN 39713 7053 18 the the DT 39713 7053 19 real real JJ 39713 7053 20 mass mass NN 39713 7053 21 varies vary VBZ 39713 7053 22 with with IN 39713 7053 23 this this DT 39713 7053 24 velocity velocity NN 39713 7053 25 ; ; : 39713 7053 26 but but CC 39713 7053 27 , , , 39713 7053 28 since since IN 39713 7053 29 the the DT 39713 7053 30 fictitious fictitious JJ 39713 7053 31 electromagnetic electromagnetic JJ 39713 7053 32 mass mass NN 39713 7053 33 depends depend VBZ 39713 7053 34 upon upon IN 39713 7053 35 this this DT 39713 7053 36 velocity velocity NN 39713 7053 37 , , , 39713 7053 38 the the DT 39713 7053 39 total total JJ 39713 7053 40 apparent apparent JJ 39713 7053 41 mass mass NNP 39713 7053 42 , , , 39713 7053 43 alone alone RB 39713 7053 44 observable observable JJ 39713 7053 45 , , , 39713 7053 46 must must MD 39713 7053 47 depend depend VB 39713 7053 48 upon upon IN 39713 7053 49 it -PRON- PRP 39713 7053 50 , , , 39713 7053 51 though though IN 39713 7053 52 the the DT 39713 7053 53 real real JJ 39713 7053 54 mass mass NN 39713 7053 55 does do VBZ 39713 7053 56 not not RB 39713 7053 57 depend depend VB 39713 7053 58 upon upon IN 39713 7053 59 it -PRON- PRP 39713 7053 60 and and CC 39713 7053 61 may may MD 39713 7053 62 be be VB 39713 7053 63 constant constant JJ 39713 7053 64 . . . 39713 7054 1 The the DT 39713 7054 2 calculations calculation NNS 39713 7054 3 of of IN 39713 7054 4 Abraham Abraham NNP 39713 7054 5 let let VBD 39713 7054 6 us -PRON- PRP 39713 7054 7 know know VB 39713 7054 8 the the DT 39713 7054 9 law law NN 39713 7054 10 according accord VBG 39713 7054 11 to to IN 39713 7054 12 which which WDT 39713 7054 13 the the DT 39713 7054 14 _ _ NNP 39713 7054 15 fictitious fictitious JJ 39713 7054 16 _ _ NNP 39713 7054 17 mass mass NN 39713 7054 18 varies vary VBZ 39713 7054 19 as as IN 39713 7054 20 a a DT 39713 7054 21 function function NN 39713 7054 22 of of IN 39713 7054 23 the the DT 39713 7054 24 velocity velocity NN 39713 7054 25 ; ; : 39713 7054 26 Kaufmann Kaufmann NNP 39713 7054 27 's 's POS 39713 7054 28 experiment experiment NN 39713 7054 29 lets let VBZ 39713 7054 30 us -PRON- PRP 39713 7054 31 know know VB 39713 7054 32 the the DT 39713 7054 33 law law NN 39713 7054 34 of of IN 39713 7054 35 variation variation NN 39713 7054 36 of of IN 39713 7054 37 the the DT 39713 7054 38 _ _ NNP 39713 7054 39 total total NN 39713 7054 40 _ _ NNP 39713 7054 41 mass mass NN 39713 7054 42 . . . 39713 7055 1 The the DT 39713 7055 2 comparison comparison NN 39713 7055 3 of of IN 39713 7055 4 these these DT 39713 7055 5 two two CD 39713 7055 6 laws law NNS 39713 7055 7 will will MD 39713 7055 8 enable enable VB 39713 7055 9 us -PRON- PRP 39713 7055 10 therefore therefore RB 39713 7055 11 to to TO 39713 7055 12 determine determine VB 39713 7055 13 the the DT 39713 7055 14 ratio ratio NN 39713 7055 15 of of IN 39713 7055 16 the the DT 39713 7055 17 real real JJ 39713 7055 18 mass mass NN 39713 7055 19 to to IN 39713 7055 20 the the DT 39713 7055 21 total total JJ 39713 7055 22 mass mass NN 39713 7055 23 . . . 39713 7056 1 Such such JJ 39713 7056 2 is be VBZ 39713 7056 3 the the DT 39713 7056 4 method method NN 39713 7056 5 Kaufmann Kaufmann NNP 39713 7056 6 used use VBD 39713 7056 7 to to TO 39713 7056 8 determine determine VB 39713 7056 9 this this DT 39713 7056 10 ratio ratio NN 39713 7056 11 . . . 39713 7057 1 The the DT 39713 7057 2 result result NN 39713 7057 3 is be VBZ 39713 7057 4 highly highly RB 39713 7057 5 surprising surprising JJ 39713 7057 6 : : : 39713 7057 7 _ _ IN 39713 7057 8 the the DT 39713 7057 9 real real JJ 39713 7057 10 mass mass NN 39713 7057 11 is be VBZ 39713 7057 12 naught naught VBN 39713 7057 13 _ _ NNP 39713 7057 14 . . . 39713 7058 1 This this DT 39713 7058 2 has have VBZ 39713 7058 3 led lead VBN 39713 7058 4 to to IN 39713 7058 5 conceptions conception NNS 39713 7058 6 wholly wholly RB 39713 7058 7 unexpected unexpected JJ 39713 7058 8 . . . 39713 7059 1 What what WP 39713 7059 2 had have VBD 39713 7059 3 only only RB 39713 7059 4 been be VBN 39713 7059 5 proved prove VBN 39713 7059 6 for for IN 39713 7059 7 cathode cathode NN 39713 7059 8 corpuscles corpuscle NNS 39713 7059 9 was be VBD 39713 7059 10 extended extend VBN 39713 7059 11 to to IN 39713 7059 12 all all DT 39713 7059 13 bodies body NNS 39713 7059 14 . . . 39713 7060 1 What what WP 39713 7060 2 we -PRON- PRP 39713 7060 3 call call VBP 39713 7060 4 mass mass NN 39713 7060 5 would would MD 39713 7060 6 be be VB 39713 7060 7 only only RB 39713 7060 8 semblance semblance NN 39713 7060 9 ; ; : 39713 7060 10 all all DT 39713 7060 11 inertia inertia NN 39713 7060 12 would would MD 39713 7060 13 be be VB 39713 7060 14 of of IN 39713 7060 15 electromagnetic electromagnetic JJ 39713 7060 16 origin origin NN 39713 7060 17 . . . 39713 7061 1 But but CC 39713 7061 2 then then RB 39713 7061 3 mass mass NN 39713 7061 4 would would MD 39713 7061 5 no no RB 39713 7061 6 longer longer RB 39713 7061 7 be be VB 39713 7061 8 constant constant JJ 39713 7061 9 , , , 39713 7061 10 it -PRON- PRP 39713 7061 11 would would MD 39713 7061 12 augment augment VB 39713 7061 13 with with IN 39713 7061 14 the the DT 39713 7061 15 velocity velocity NN 39713 7061 16 ; ; : 39713 7061 17 sensibly sensibly RB 39713 7061 18 constant constant JJ 39713 7061 19 for for IN 39713 7061 20 velocities velocity NNS 39713 7061 21 up up IN 39713 7061 22 to to TO 39713 7061 23 1,000 1,000 CD 39713 7061 24 kilometers kilometer NNS 39713 7061 25 a a DT 39713 7061 26 second second NN 39713 7061 27 , , , 39713 7061 28 it -PRON- PRP 39713 7061 29 then then RB 39713 7061 30 would would MD 39713 7061 31 increase increase VB 39713 7061 32 and and CC 39713 7061 33 would would MD 39713 7061 34 become become VB 39713 7061 35 infinite infinite JJ 39713 7061 36 for for IN 39713 7061 37 the the DT 39713 7061 38 velocity velocity NN 39713 7061 39 of of IN 39713 7061 40 light light NN 39713 7061 41 . . . 39713 7062 1 The the DT 39713 7062 2 transversal transversal NN 39713 7062 3 mass mass NN 39713 7062 4 would would MD 39713 7062 5 no no RB 39713 7062 6 longer longer RB 39713 7062 7 be be VB 39713 7062 8 equal equal JJ 39713 7062 9 to to IN 39713 7062 10 the the DT 39713 7062 11 longitudinal longitudinal NN 39713 7062 12 : : : 39713 7062 13 they -PRON- PRP 39713 7062 14 would would MD 39713 7062 15 only only RB 39713 7062 16 be be VB 39713 7062 17 nearly nearly RB 39713 7062 18 equal equal JJ 39713 7062 19 if if IN 39713 7062 20 the the DT 39713 7062 21 velocity velocity NN 39713 7062 22 is be VBZ 39713 7062 23 not not RB 39713 7062 24 too too RB 39713 7062 25 great great JJ 39713 7062 26 . . . 39713 7063 1 The the DT 39713 7063 2 principle principle NN 39713 7063 3 _ _ NNP 39713 7063 4 B B NNP 39713 7063 5 _ _ NNP 39713 7063 6 of of IN 39713 7063 7 mechanics mechanic NNS 39713 7063 8 would would MD 39713 7063 9 no no RB 39713 7063 10 longer longer RB 39713 7063 11 be be VB 39713 7063 12 true true JJ 39713 7063 13 . . . 39713 7064 1 III III NNP 39713 7064 2 _ _ NNP 39713 7064 3 The the DT 39713 7064 4 Canal Canal NNP 39713 7064 5 Rays Rays NNPS 39713 7064 6 _ _ NNP 39713 7064 7 At at IN 39713 7064 8 the the DT 39713 7064 9 point point NN 39713 7064 10 where where WRB 39713 7064 11 we -PRON- PRP 39713 7064 12 now now RB 39713 7064 13 are be VBP 39713 7064 14 , , , 39713 7064 15 this this DT 39713 7064 16 conclusion conclusion NN 39713 7064 17 might may MD 39713 7064 18 seem seem VB 39713 7064 19 premature premature JJ 39713 7064 20 . . . 39713 7065 1 Can Can MD 39713 7065 2 one one PRP 39713 7065 3 apply apply VB 39713 7065 4 to to IN 39713 7065 5 all all DT 39713 7065 6 matter matter NN 39713 7065 7 what what WP 39713 7065 8 has have VBZ 39713 7065 9 been be VBN 39713 7065 10 proved prove VBN 39713 7065 11 only only RB 39713 7065 12 for for IN 39713 7065 13 such such JJ 39713 7065 14 light light JJ 39713 7065 15 corpuscles corpuscle NNS 39713 7065 16 , , , 39713 7065 17 which which WDT 39713 7065 18 are be VBP 39713 7065 19 a a DT 39713 7065 20 mere mere JJ 39713 7065 21 emanation emanation NN 39713 7065 22 of of IN 39713 7065 23 matter matter NN 39713 7065 24 and and CC 39713 7065 25 perhaps perhaps RB 39713 7065 26 not not RB 39713 7065 27 true true JJ 39713 7065 28 matter matter NN 39713 7065 29 ? ? . 39713 7066 1 But but CC 39713 7066 2 before before IN 39713 7066 3 entering enter VBG 39713 7066 4 upon upon IN 39713 7066 5 this this DT 39713 7066 6 question question NN 39713 7066 7 , , , 39713 7066 8 a a DT 39713 7066 9 word word NN 39713 7066 10 must must MD 39713 7066 11 be be VB 39713 7066 12 said say VBN 39713 7066 13 of of IN 39713 7066 14 another another DT 39713 7066 15 sort sort NN 39713 7066 16 of of IN 39713 7066 17 rays ray NNS 39713 7066 18 . . . 39713 7067 1 I -PRON- PRP 39713 7067 2 refer refer VBP 39713 7067 3 to to IN 39713 7067 4 the the DT 39713 7067 5 _ _ NNP 39713 7067 6 canal canal NN 39713 7067 7 rays ray NNS 39713 7067 8 _ _ NNP 39713 7067 9 , , , 39713 7067 10 the the DT 39713 7067 11 _ _ NNP 39713 7067 12 Kanalstrahlen Kanalstrahlen NNP 39713 7067 13 _ _ NNP 39713 7067 14 of of IN 39713 7067 15 Goldstein Goldstein NNP 39713 7067 16 . . . 39713 7068 1 The the DT 39713 7068 2 cathode cathode NN 39713 7068 3 , , , 39713 7068 4 together together RB 39713 7068 5 with with IN 39713 7068 6 the the DT 39713 7068 7 cathode cathode NN 39713 7068 8 rays ray NNS 39713 7068 9 charged charge VBN 39713 7068 10 with with IN 39713 7068 11 negative negative JJ 39713 7068 12 electricity electricity NN 39713 7068 13 , , , 39713 7068 14 emits emit VBZ 39713 7068 15 canal canal NN 39713 7068 16 rays ray NNS 39713 7068 17 charged charge VBN 39713 7068 18 with with IN 39713 7068 19 positive positive JJ 39713 7068 20 electricity electricity NN 39713 7068 21 . . . 39713 7069 1 In in IN 39713 7069 2 general general JJ 39713 7069 3 , , , 39713 7069 4 these these DT 39713 7069 5 canal canal NN 39713 7069 6 rays ray NNS 39713 7069 7 not not RB 39713 7069 8 being be VBG 39713 7069 9 repelled repel VBN 39713 7069 10 by by IN 39713 7069 11 the the DT 39713 7069 12 cathode cathode NN 39713 7069 13 , , , 39713 7069 14 are be VBP 39713 7069 15 confined confine VBN 39713 7069 16 to to IN 39713 7069 17 the the DT 39713 7069 18 immediate immediate JJ 39713 7069 19 neighborhood neighborhood NN 39713 7069 20 of of IN 39713 7069 21 this this DT 39713 7069 22 cathode cathode NN 39713 7069 23 , , , 39713 7069 24 where where WRB 39713 7069 25 they -PRON- PRP 39713 7069 26 constitute constitute VBP 39713 7069 27 the the DT 39713 7069 28 ` ` '' 39713 7069 29 chamois chamois NNP 39713 7069 30 cushion cushion NN 39713 7069 31 , , , 39713 7069 32 ' ' '' 39713 7069 33 not not RB 39713 7069 34 very very RB 39713 7069 35 easy easy JJ 39713 7069 36 to to TO 39713 7069 37 perceive perceive VB 39713 7069 38 ; ; : 39713 7069 39 but but CC 39713 7069 40 , , , 39713 7069 41 if if IN 39713 7069 42 the the DT 39713 7069 43 cathode cathode NN 39713 7069 44 is be VBZ 39713 7069 45 pierced pierce VBN 39713 7069 46 with with IN 39713 7069 47 holes hole NNS 39713 7069 48 and and CC 39713 7069 49 if if IN 39713 7069 50 it -PRON- PRP 39713 7069 51 almost almost RB 39713 7069 52 completely completely RB 39713 7069 53 blocks block VBZ 39713 7069 54 up up RP 39713 7069 55 the the DT 39713 7069 56 tube tube NN 39713 7069 57 , , , 39713 7069 58 the the DT 39713 7069 59 canal canal NN 39713 7069 60 rays ray NNS 39713 7069 61 spread spread VBD 39713 7069 62 _ _ NNP 39713 7069 63 back back RB 39713 7069 64 _ _ NNP 39713 7069 65 of of IN 39713 7069 66 the the DT 39713 7069 67 cathode cathode NN 39713 7069 68 , , , 39713 7069 69 in in IN 39713 7069 70 the the DT 39713 7069 71 direction direction NN 39713 7069 72 opposite opposite JJ 39713 7069 73 to to IN 39713 7069 74 that that DT 39713 7069 75 of of IN 39713 7069 76 the the DT 39713 7069 77 cathode cathode NN 39713 7069 78 rays ray NNS 39713 7069 79 , , , 39713 7069 80 and and CC 39713 7069 81 it -PRON- PRP 39713 7069 82 becomes become VBZ 39713 7069 83 possible possible JJ 39713 7069 84 to to TO 39713 7069 85 study study VB 39713 7069 86 them -PRON- PRP 39713 7069 87 . . . 39713 7070 1 It -PRON- PRP 39713 7070 2 is be VBZ 39713 7070 3 thus thus RB 39713 7070 4 that that IN 39713 7070 5 it -PRON- PRP 39713 7070 6 has have VBZ 39713 7070 7 been be VBN 39713 7070 8 possible possible JJ 39713 7070 9 to to TO 39713 7070 10 show show VB 39713 7070 11 their -PRON- PRP$ 39713 7070 12 positive positive JJ 39713 7070 13 charge charge NN 39713 7070 14 and and CC 39713 7070 15 to to TO 39713 7070 16 show show VB 39713 7070 17 that that IN 39713 7070 18 the the DT 39713 7070 19 magnetic magnetic JJ 39713 7070 20 and and CC 39713 7070 21 electric electric JJ 39713 7070 22 deviations deviation NNS 39713 7070 23 still still RB 39713 7070 24 exist exist VBP 39713 7070 25 , , , 39713 7070 26 as as IN 39713 7070 27 for for IN 39713 7070 28 the the DT 39713 7070 29 cathode cathode NN 39713 7070 30 rays ray NNS 39713 7070 31 , , , 39713 7070 32 but but CC 39713 7070 33 are be VBP 39713 7070 34 much much RB 39713 7070 35 feebler feeble JJR 39713 7070 36 . . . 39713 7071 1 Radium Radium NNP 39713 7071 2 likewise likewise RB 39713 7071 3 emits emit VBZ 39713 7071 4 rays ray NNS 39713 7071 5 analogous analogous JJ 39713 7071 6 to to IN 39713 7071 7 the the DT 39713 7071 8 canal canal NN 39713 7071 9 rays ray NNS 39713 7071 10 , , , 39713 7071 11 and and CC 39713 7071 12 relatively relatively RB 39713 7071 13 very very RB 39713 7071 14 absorbable absorbable JJ 39713 7071 15 , , , 39713 7071 16 called call VBN 39713 7071 17 [ [ -LRB- 39713 7071 18 alpha alpha NN 39713 7071 19 ] ] -RRB- 39713 7071 20 rays ray NNS 39713 7071 21 . . . 39713 7072 1 We -PRON- PRP 39713 7072 2 can can MD 39713 7072 3 , , , 39713 7072 4 as as IN 39713 7072 5 for for IN 39713 7072 6 the the DT 39713 7072 7 cathode cathode NN 39713 7072 8 rays ray NNS 39713 7072 9 , , , 39713 7072 10 measure measure VB 39713 7072 11 the the DT 39713 7072 12 two two CD 39713 7072 13 deviations deviation NNS 39713 7072 14 and and CC 39713 7072 15 thence thence NN 39713 7072 16 deduce deduce VBP 39713 7072 17 the the DT 39713 7072 18 velocity velocity NN 39713 7072 19 and and CC 39713 7072 20 the the DT 39713 7072 21 ratio ratio NN 39713 7072 22 [ [ -LRB- 39713 7072 23 epsilon epsilon NN 39713 7072 24 ] ] -RRB- 39713 7072 25 . . . 39713 7073 1 The the DT 39713 7073 2 results result NNS 39713 7073 3 are be VBP 39713 7073 4 less less RBR 39713 7073 5 constant constant JJ 39713 7073 6 than than IN 39713 7073 7 for for IN 39713 7073 8 the the DT 39713 7073 9 cathode cathode NN 39713 7073 10 rays ray NNS 39713 7073 11 , , , 39713 7073 12 but but CC 39713 7073 13 the the DT 39713 7073 14 velocity velocity NN 39713 7073 15 is be VBZ 39713 7073 16 less less JJR 39713 7073 17 , , , 39713 7073 18 as as RB 39713 7073 19 well well RB 39713 7073 20 as as IN 39713 7073 21 the the DT 39713 7073 22 ratio ratio NN 39713 7073 23 [ [ -LRB- 39713 7073 24 epsilon epsilon NN 39713 7073 25 ] ] -RRB- 39713 7073 26 ; ; : 39713 7073 27 the the DT 39713 7073 28 positive positive JJ 39713 7073 29 corpuscles corpuscle NNS 39713 7073 30 are be VBP 39713 7073 31 less less RBR 39713 7073 32 charged charge VBN 39713 7073 33 than than IN 39713 7073 34 the the DT 39713 7073 35 negative negative JJ 39713 7073 36 ; ; : 39713 7073 37 or or CC 39713 7073 38 if if IN 39713 7073 39 , , , 39713 7073 40 which which WDT 39713 7073 41 is be VBZ 39713 7073 42 more more RBR 39713 7073 43 natural natural JJ 39713 7073 44 , , , 39713 7073 45 we -PRON- PRP 39713 7073 46 suppose suppose VBP 39713 7073 47 the the DT 39713 7073 48 charges charge NNS 39713 7073 49 equal equal JJ 39713 7073 50 and and CC 39713 7073 51 of of IN 39713 7073 52 opposite opposite JJ 39713 7073 53 sign sign NN 39713 7073 54 , , , 39713 7073 55 the the DT 39713 7073 56 positive positive JJ 39713 7073 57 corpuscles corpuscle NNS 39713 7073 58 are be VBP 39713 7073 59 much much RB 39713 7073 60 the the DT 39713 7073 61 larger large JJR 39713 7073 62 . . . 39713 7074 1 These these DT 39713 7074 2 corpuscles corpuscle NNS 39713 7074 3 , , , 39713 7074 4 charged charge VBD 39713 7074 5 the the DT 39713 7074 6 ones one NNS 39713 7074 7 positively positively RB 39713 7074 8 , , , 39713 7074 9 the the DT 39713 7074 10 others other NNS 39713 7074 11 negatively negatively RB 39713 7074 12 , , , 39713 7074 13 have have VBP 39713 7074 14 been be VBN 39713 7074 15 called call VBN 39713 7074 16 _ _ NNP 39713 7074 17 electrons electron NNS 39713 7074 18 _ _ NNP 39713 7074 19 . . . 39713 7075 1 IV IV NNP 39713 7075 2 _ _ NNP 39713 7075 3 The the DT 39713 7075 4 Theory Theory NNP 39713 7075 5 of of IN 39713 7075 6 Lorentz Lorentz NNP 39713 7075 7 _ _ NNP 39713 7075 8 But but CC 39713 7075 9 the the DT 39713 7075 10 electrons electron NNS 39713 7075 11 do do VBP 39713 7075 12 not not RB 39713 7075 13 merely merely RB 39713 7075 14 show show VB 39713 7075 15 us -PRON- PRP 39713 7075 16 their -PRON- PRP$ 39713 7075 17 existence existence NN 39713 7075 18 in in IN 39713 7075 19 these these DT 39713 7075 20 rays ray NNS 39713 7075 21 where where WRB 39713 7075 22 they -PRON- PRP 39713 7075 23 are be VBP 39713 7075 24 endowed endow VBN 39713 7075 25 with with IN 39713 7075 26 enormous enormous JJ 39713 7075 27 velocities velocity NNS 39713 7075 28 . . . 39713 7076 1 We -PRON- PRP 39713 7076 2 shall shall MD 39713 7076 3 see see VB 39713 7076 4 them -PRON- PRP 39713 7076 5 in in IN 39713 7076 6 very very RB 39713 7076 7 different different JJ 39713 7076 8 rôles rôle NNS 39713 7076 9 , , , 39713 7076 10 and and CC 39713 7076 11 it -PRON- PRP 39713 7076 12 is be VBZ 39713 7076 13 they -PRON- PRP 39713 7076 14 that that WDT 39713 7076 15 account account VBP 39713 7076 16 for for IN 39713 7076 17 the the DT 39713 7076 18 principal principal JJ 39713 7076 19 phenomena phenomenon NNS 39713 7076 20 of of IN 39713 7076 21 optics optic NNS 39713 7076 22 and and CC 39713 7076 23 electricity electricity NN 39713 7076 24 . . . 39713 7077 1 The the DT 39713 7077 2 brilliant brilliant JJ 39713 7077 3 synthesis synthesis NN 39713 7077 4 about about JJ 39713 7077 5 to to TO 39713 7077 6 be be VB 39713 7077 7 noticed notice VBN 39713 7077 8 is be VBZ 39713 7077 9 due due JJ 39713 7077 10 to to IN 39713 7077 11 Lorentz Lorentz NNP 39713 7077 12 . . . 39713 7078 1 Matter Matter NNP 39713 7078 2 is be VBZ 39713 7078 3 formed form VBN 39713 7078 4 solely solely RB 39713 7078 5 of of IN 39713 7078 6 electrons electron NNS 39713 7078 7 carrying carry VBG 39713 7078 8 enormous enormous JJ 39713 7078 9 charges charge NNS 39713 7078 10 , , , 39713 7078 11 and and CC 39713 7078 12 , , , 39713 7078 13 if if IN 39713 7078 14 it -PRON- PRP 39713 7078 15 seems seem VBZ 39713 7078 16 to to IN 39713 7078 17 us -PRON- PRP 39713 7078 18 neutral neutral JJ 39713 7078 19 , , , 39713 7078 20 this this DT 39713 7078 21 is be VBZ 39713 7078 22 because because IN 39713 7078 23 the the DT 39713 7078 24 charges charge NNS 39713 7078 25 of of IN 39713 7078 26 opposite opposite JJ 39713 7078 27 sign sign NN 39713 7078 28 of of IN 39713 7078 29 these these DT 39713 7078 30 electrons electron NNS 39713 7078 31 compensate compensate VBP 39713 7078 32 each each DT 39713 7078 33 other other JJ 39713 7078 34 . . . 39713 7079 1 We -PRON- PRP 39713 7079 2 may may MD 39713 7079 3 imagine imagine VB 39713 7079 4 , , , 39713 7079 5 for for IN 39713 7079 6 example example NN 39713 7079 7 , , , 39713 7079 8 a a DT 39713 7079 9 sort sort NN 39713 7079 10 of of IN 39713 7079 11 solar solar JJ 39713 7079 12 system system NN 39713 7079 13 formed form VBN 39713 7079 14 of of IN 39713 7079 15 a a DT 39713 7079 16 great great JJ 39713 7079 17 positive positive JJ 39713 7079 18 electron electron NN 39713 7079 19 , , , 39713 7079 20 around around IN 39713 7079 21 which which WDT 39713 7079 22 gravitate gravitate VBP 39713 7079 23 numerous numerous JJ 39713 7079 24 little little JJ 39713 7079 25 planets planet NNS 39713 7079 26 , , , 39713 7079 27 the the DT 39713 7079 28 negative negative JJ 39713 7079 29 electrons electron NNS 39713 7079 30 , , , 39713 7079 31 attracted attract VBN 39713 7079 32 by by IN 39713 7079 33 the the DT 39713 7079 34 electricity electricity NN 39713 7079 35 of of IN 39713 7079 36 opposite opposite JJ 39713 7079 37 name name NN 39713 7079 38 which which WDT 39713 7079 39 charges charge VBZ 39713 7079 40 the the DT 39713 7079 41 central central JJ 39713 7079 42 electron electron NN 39713 7079 43 . . . 39713 7080 1 The the DT 39713 7080 2 negative negative JJ 39713 7080 3 charges charge NNS 39713 7080 4 of of IN 39713 7080 5 these these DT 39713 7080 6 planets planet NNS 39713 7080 7 would would MD 39713 7080 8 balance balance VB 39713 7080 9 the the DT 39713 7080 10 positive positive JJ 39713 7080 11 charge charge NN 39713 7080 12 of of IN 39713 7080 13 this this DT 39713 7080 14 sun sun NN 39713 7080 15 , , , 39713 7080 16 so so IN 39713 7080 17 that that IN 39713 7080 18 the the DT 39713 7080 19 algebraic algebraic NN 39713 7080 20 sum sum NN 39713 7080 21 of of IN 39713 7080 22 all all PDT 39713 7080 23 these these DT 39713 7080 24 charges charge NNS 39713 7080 25 would would MD 39713 7080 26 be be VB 39713 7080 27 naught naught VBN 39713 7080 28 . . . 39713 7081 1 All all PDT 39713 7081 2 these these DT 39713 7081 3 electrons electron NNS 39713 7081 4 swim swim VBP 39713 7081 5 in in IN 39713 7081 6 the the DT 39713 7081 7 ether ether NN 39713 7081 8 . . . 39713 7082 1 The the DT 39713 7082 2 ether ether NN 39713 7082 3 is be VBZ 39713 7082 4 everywhere everywhere RB 39713 7082 5 identically identically RB 39713 7082 6 the the DT 39713 7082 7 same same JJ 39713 7082 8 , , , 39713 7082 9 and and CC 39713 7082 10 perturbations perturbation NNS 39713 7082 11 in in IN 39713 7082 12 it -PRON- PRP 39713 7082 13 are be VBP 39713 7082 14 propagated propagate VBN 39713 7082 15 according accord VBG 39713 7082 16 to to IN 39713 7082 17 the the DT 39713 7082 18 same same JJ 39713 7082 19 laws law NNS 39713 7082 20 as as IN 39713 7082 21 light light NN 39713 7082 22 or or CC 39713 7082 23 the the DT 39713 7082 24 Hertzian hertzian JJ 39713 7082 25 oscillations oscillation NNS 39713 7082 26 _ _ NNP 39713 7082 27 in in IN 39713 7082 28 vacuo vacuo NNS 39713 7082 29 _ _ NNP 39713 7082 30 . . . 39713 7083 1 There there EX 39713 7083 2 is be VBZ 39713 7083 3 nothing nothing NN 39713 7083 4 but but IN 39713 7083 5 electrons electron NNS 39713 7083 6 and and CC 39713 7083 7 ether ether NN 39713 7083 8 . . . 39713 7084 1 When when WRB 39713 7084 2 a a DT 39713 7084 3 luminous luminous JJ 39713 7084 4 wave wave NN 39713 7084 5 enters enter VBZ 39713 7084 6 a a DT 39713 7084 7 part part NN 39713 7084 8 of of IN 39713 7084 9 the the DT 39713 7084 10 ether ether NN 39713 7084 11 where where WRB 39713 7084 12 electrons electron NNS 39713 7084 13 are be VBP 39713 7084 14 numerous numerous JJ 39713 7084 15 , , , 39713 7084 16 these these DT 39713 7084 17 electrons electron NNS 39713 7084 18 are be VBP 39713 7084 19 put put VBN 39713 7084 20 in in IN 39713 7084 21 motion motion NN 39713 7084 22 under under IN 39713 7084 23 the the DT 39713 7084 24 influence influence NN 39713 7084 25 of of IN 39713 7084 26 the the DT 39713 7084 27 perturbation perturbation NN 39713 7084 28 of of IN 39713 7084 29 the the DT 39713 7084 30 ether ether NN 39713 7084 31 , , , 39713 7084 32 and and CC 39713 7084 33 they -PRON- PRP 39713 7084 34 then then RB 39713 7084 35 react react VBP 39713 7084 36 upon upon IN 39713 7084 37 the the DT 39713 7084 38 ether ether NN 39713 7084 39 . . . 39713 7085 1 So so CC 39713 7085 2 would would MD 39713 7085 3 be be VB 39713 7085 4 explained explain VBN 39713 7085 5 refraction refraction NN 39713 7085 6 , , , 39713 7085 7 dispersion dispersion NN 39713 7085 8 , , , 39713 7085 9 double double JJ 39713 7085 10 refraction refraction NN 39713 7085 11 and and CC 39713 7085 12 absorption absorption NN 39713 7085 13 . . . 39713 7086 1 Just just RB 39713 7086 2 so so RB 39713 7086 3 , , , 39713 7086 4 if if IN 39713 7086 5 for for IN 39713 7086 6 any any DT 39713 7086 7 cause cause NN 39713 7086 8 an an DT 39713 7086 9 electron electron NN 39713 7086 10 be be VB 39713 7086 11 put put VBN 39713 7086 12 in in IN 39713 7086 13 motion motion NN 39713 7086 14 , , , 39713 7086 15 it -PRON- PRP 39713 7086 16 would would MD 39713 7086 17 trouble trouble VB 39713 7086 18 the the DT 39713 7086 19 ether ether NN 39713 7086 20 around around IN 39713 7086 21 it -PRON- PRP 39713 7086 22 and and CC 39713 7086 23 would would MD 39713 7086 24 give give VB 39713 7086 25 rise rise NN 39713 7086 26 to to IN 39713 7086 27 luminous luminous JJ 39713 7086 28 waves wave NNS 39713 7086 29 , , , 39713 7086 30 and and CC 39713 7086 31 this this DT 39713 7086 32 would would MD 39713 7086 33 explain explain VB 39713 7086 34 the the DT 39713 7086 35 emission emission NN 39713 7086 36 of of IN 39713 7086 37 light light NN 39713 7086 38 by by IN 39713 7086 39 incandescent incandescent NN 39713 7086 40 bodies body NNS 39713 7086 41 . . . 39713 7087 1 In in IN 39713 7087 2 certain certain JJ 39713 7087 3 bodies body NNS 39713 7087 4 , , , 39713 7087 5 the the DT 39713 7087 6 metals metal NNS 39713 7087 7 for for IN 39713 7087 8 example example NN 39713 7087 9 , , , 39713 7087 10 we -PRON- PRP 39713 7087 11 should should MD 39713 7087 12 have have VB 39713 7087 13 fixed fix VBN 39713 7087 14 electrons electron NNS 39713 7087 15 , , , 39713 7087 16 between between IN 39713 7087 17 which which WDT 39713 7087 18 would would MD 39713 7087 19 circulate circulate VB 39713 7087 20 moving move VBG 39713 7087 21 electrons electron NNS 39713 7087 22 enjoying enjoy VBG 39713 7087 23 perfect perfect JJ 39713 7087 24 liberty liberty NN 39713 7087 25 , , , 39713 7087 26 save save IN 39713 7087 27 that that DT 39713 7087 28 of of IN 39713 7087 29 going go VBG 39713 7087 30 out out RP 39713 7087 31 from from IN 39713 7087 32 the the DT 39713 7087 33 metallic metallic JJ 39713 7087 34 body body NN 39713 7087 35 and and CC 39713 7087 36 breaking break VBG 39713 7087 37 the the DT 39713 7087 38 surface surface NN 39713 7087 39 which which WDT 39713 7087 40 separates separate VBZ 39713 7087 41 it -PRON- PRP 39713 7087 42 from from IN 39713 7087 43 the the DT 39713 7087 44 exterior exterior NN 39713 7087 45 void void NN 39713 7087 46 or or CC 39713 7087 47 from from IN 39713 7087 48 the the DT 39713 7087 49 air air NN 39713 7087 50 , , , 39713 7087 51 or or CC 39713 7087 52 from from IN 39713 7087 53 any any DT 39713 7087 54 other other JJ 39713 7087 55 non non JJ 39713 7087 56 - - JJ 39713 7087 57 metallic metallic JJ 39713 7087 58 body body NN 39713 7087 59 . . . 39713 7088 1 These these DT 39713 7088 2 movable movable JJ 39713 7088 3 electrons electron NNS 39713 7088 4 behave behave VBP 39713 7088 5 then then RB 39713 7088 6 , , , 39713 7088 7 within within IN 39713 7088 8 the the DT 39713 7088 9 metallic metallic JJ 39713 7088 10 body body NN 39713 7088 11 , , , 39713 7088 12 as as IN 39713 7088 13 do do VB 39713 7088 14 , , , 39713 7088 15 according accord VBG 39713 7088 16 to to IN 39713 7088 17 the the DT 39713 7088 18 kinetic kinetic JJ 39713 7088 19 theory theory NN 39713 7088 20 of of IN 39713 7088 21 gases gas NNS 39713 7088 22 , , , 39713 7088 23 the the DT 39713 7088 24 molecules molecule NNS 39713 7088 25 of of IN 39713 7088 26 a a DT 39713 7088 27 gas gas NN 39713 7088 28 within within IN 39713 7088 29 the the DT 39713 7088 30 vase vase NN 39713 7088 31 where where WRB 39713 7088 32 this this DT 39713 7088 33 gas gas NN 39713 7088 34 is be VBZ 39713 7088 35 confined confine VBN 39713 7088 36 . . . 39713 7089 1 But but CC 39713 7089 2 , , , 39713 7089 3 under under IN 39713 7089 4 the the DT 39713 7089 5 influence influence NN 39713 7089 6 of of IN 39713 7089 7 a a DT 39713 7089 8 difference difference NN 39713 7089 9 of of IN 39713 7089 10 potential potential NN 39713 7089 11 , , , 39713 7089 12 the the DT 39713 7089 13 negative negative JJ 39713 7089 14 movable movable JJ 39713 7089 15 electrons electron NNS 39713 7089 16 would would MD 39713 7089 17 tend tend VB 39713 7089 18 to to TO 39713 7089 19 go go VB 39713 7089 20 all all DT 39713 7089 21 to to IN 39713 7089 22 one one CD 39713 7089 23 side side NN 39713 7089 24 , , , 39713 7089 25 and and CC 39713 7089 26 the the DT 39713 7089 27 positive positive JJ 39713 7089 28 movable movable JJ 39713 7089 29 electrons electron NNS 39713 7089 30 to to IN 39713 7089 31 the the DT 39713 7089 32 other other JJ 39713 7089 33 . . . 39713 7090 1 This this DT 39713 7090 2 is be VBZ 39713 7090 3 what what WP 39713 7090 4 would would MD 39713 7090 5 produce produce VB 39713 7090 6 electric electric JJ 39713 7090 7 currents current NNS 39713 7090 8 , , , 39713 7090 9 and and CC 39713 7090 10 _ _ NNP 39713 7090 11 this this DT 39713 7090 12 is be VBZ 39713 7090 13 why why WRB 39713 7090 14 these these DT 39713 7090 15 bodies body NNS 39713 7090 16 would would MD 39713 7090 17 be be VB 39713 7090 18 conductors conductor NNS 39713 7090 19 _ _ NNP 39713 7090 20 . . . 39713 7091 1 On on IN 39713 7091 2 the the DT 39713 7091 3 other other JJ 39713 7091 4 hand hand NN 39713 7091 5 , , , 39713 7091 6 the the DT 39713 7091 7 velocities velocity NNS 39713 7091 8 of of IN 39713 7091 9 our -PRON- PRP$ 39713 7091 10 electrons electron NNS 39713 7091 11 would would MD 39713 7091 12 be be VB 39713 7091 13 the the DT 39713 7091 14 greater great JJR 39713 7091 15 the the DT 39713 7091 16 higher high JJR 39713 7091 17 the the DT 39713 7091 18 temperature temperature NN 39713 7091 19 , , , 39713 7091 20 if if IN 39713 7091 21 we -PRON- PRP 39713 7091 22 accept accept VBP 39713 7091 23 the the DT 39713 7091 24 assimilation assimilation NN 39713 7091 25 with with IN 39713 7091 26 the the DT 39713 7091 27 kinetic kinetic JJ 39713 7091 28 theory theory NN 39713 7091 29 of of IN 39713 7091 30 gases gas NNS 39713 7091 31 . . . 39713 7092 1 When when WRB 39713 7092 2 one one CD 39713 7092 3 of of IN 39713 7092 4 these these DT 39713 7092 5 movable movable JJ 39713 7092 6 electrons electron NNS 39713 7092 7 encounters encounter VBZ 39713 7092 8 the the DT 39713 7092 9 surface surface NN 39713 7092 10 of of IN 39713 7092 11 the the DT 39713 7092 12 metallic metallic JJ 39713 7092 13 body body NN 39713 7092 14 , , , 39713 7092 15 whose whose WP$ 39713 7092 16 boundary boundary JJ 39713 7092 17 it -PRON- PRP 39713 7092 18 can can MD 39713 7092 19 not not RB 39713 7092 20 pass pass VB 39713 7092 21 , , , 39713 7092 22 it -PRON- PRP 39713 7092 23 is be VBZ 39713 7092 24 reflected reflect VBN 39713 7092 25 like like IN 39713 7092 26 a a DT 39713 7092 27 billiard billiard NN 39713 7092 28 ball ball NN 39713 7092 29 which which WDT 39713 7092 30 has have VBZ 39713 7092 31 hit hit VBN 39713 7092 32 the the DT 39713 7092 33 cushion cushion NN 39713 7092 34 , , , 39713 7092 35 and and CC 39713 7092 36 its -PRON- PRP$ 39713 7092 37 velocity velocity NN 39713 7092 38 undergoes undergo VBZ 39713 7092 39 a a DT 39713 7092 40 sudden sudden JJ 39713 7092 41 change change NN 39713 7092 42 of of IN 39713 7092 43 direction direction NN 39713 7092 44 . . . 39713 7093 1 But but CC 39713 7093 2 when when WRB 39713 7093 3 an an DT 39713 7093 4 electron electron NN 39713 7093 5 changes change VBZ 39713 7093 6 direction direction NN 39713 7093 7 , , , 39713 7093 8 as as IN 39713 7093 9 we -PRON- PRP 39713 7093 10 shall shall MD 39713 7093 11 see see VB 39713 7093 12 further further RB 39713 7093 13 on on RB 39713 7093 14 , , , 39713 7093 15 it -PRON- PRP 39713 7093 16 becomes become VBZ 39713 7093 17 the the DT 39713 7093 18 source source NN 39713 7093 19 of of IN 39713 7093 20 a a DT 39713 7093 21 luminous luminous JJ 39713 7093 22 wave wave NN 39713 7093 23 , , , 39713 7093 24 and and CC 39713 7093 25 this this DT 39713 7093 26 is be VBZ 39713 7093 27 why why WRB 39713 7093 28 hot hot JJ 39713 7093 29 metals metal NNS 39713 7093 30 are be VBP 39713 7093 31 incandescent incandescent JJ 39713 7093 32 . . . 39713 7094 1 In in IN 39713 7094 2 other other JJ 39713 7094 3 bodies body NNS 39713 7094 4 , , , 39713 7094 5 the the DT 39713 7094 6 dielectrics dielectric NNS 39713 7094 7 and and CC 39713 7094 8 the the DT 39713 7094 9 transparent transparent JJ 39713 7094 10 bodies body NNS 39713 7094 11 , , , 39713 7094 12 the the DT 39713 7094 13 movable movable JJ 39713 7094 14 electrons electron NNS 39713 7094 15 enjoy enjoy VBP 39713 7094 16 much much RB 39713 7094 17 less less JJR 39713 7094 18 freedom freedom NN 39713 7094 19 . . . 39713 7095 1 They -PRON- PRP 39713 7095 2 remain remain VBP 39713 7095 3 as as IN 39713 7095 4 if if IN 39713 7095 5 attached attach VBN 39713 7095 6 to to IN 39713 7095 7 fixed fix VBN 39713 7095 8 electrons electron NNS 39713 7095 9 which which WDT 39713 7095 10 attract attract VBP 39713 7095 11 them -PRON- PRP 39713 7095 12 . . . 39713 7096 1 The the DT 39713 7096 2 farther farther RB 39713 7096 3 they -PRON- PRP 39713 7096 4 go go VBP 39713 7096 5 away away RB 39713 7096 6 from from IN 39713 7096 7 them -PRON- PRP 39713 7096 8 the the DT 39713 7096 9 greater great JJR 39713 7096 10 becomes become VBZ 39713 7096 11 this this DT 39713 7096 12 attraction attraction NN 39713 7096 13 and and CC 39713 7096 14 tends tend VBZ 39713 7096 15 to to TO 39713 7096 16 pull pull VB 39713 7096 17 them -PRON- PRP 39713 7096 18 back back RB 39713 7096 19 . . . 39713 7097 1 They -PRON- PRP 39713 7097 2 therefore therefore RB 39713 7097 3 can can MD 39713 7097 4 make make VB 39713 7097 5 only only JJ 39713 7097 6 small small JJ 39713 7097 7 excursions excursion NNS 39713 7097 8 ; ; : 39713 7097 9 they -PRON- PRP 39713 7097 10 can can MD 39713 7097 11 no no RB 39713 7097 12 longer longer RB 39713 7097 13 circulate circulate VB 39713 7097 14 , , , 39713 7097 15 but but CC 39713 7097 16 only only RB 39713 7097 17 oscillate oscillate VB 39713 7097 18 about about IN 39713 7097 19 their -PRON- PRP$ 39713 7097 20 mean mean JJ 39713 7097 21 position position NN 39713 7097 22 . . . 39713 7098 1 This this DT 39713 7098 2 is be VBZ 39713 7098 3 why why WRB 39713 7098 4 these these DT 39713 7098 5 bodies body NNS 39713 7098 6 would would MD 39713 7098 7 not not RB 39713 7098 8 be be VB 39713 7098 9 conductors conductor NNS 39713 7098 10 ; ; : 39713 7098 11 moreover moreover RB 39713 7098 12 they -PRON- PRP 39713 7098 13 would would MD 39713 7098 14 most most RBS 39713 7098 15 often often RB 39713 7098 16 be be VB 39713 7098 17 transparent transparent JJ 39713 7098 18 , , , 39713 7098 19 and and CC 39713 7098 20 they -PRON- PRP 39713 7098 21 would would MD 39713 7098 22 be be VB 39713 7098 23 refractive refractive JJ 39713 7098 24 , , , 39713 7098 25 since since IN 39713 7098 26 the the DT 39713 7098 27 luminous luminous JJ 39713 7098 28 vibrations vibration NNS 39713 7098 29 would would MD 39713 7098 30 be be VB 39713 7098 31 communicated communicate VBN 39713 7098 32 to to IN 39713 7098 33 the the DT 39713 7098 34 movable movable JJ 39713 7098 35 electrons electron NNS 39713 7098 36 , , , 39713 7098 37 susceptible susceptible JJ 39713 7098 38 of of IN 39713 7098 39 oscillation oscillation NN 39713 7098 40 , , , 39713 7098 41 and and CC 39713 7098 42 thence thence VB 39713 7098 43 a a DT 39713 7098 44 perturbation perturbation NN 39713 7098 45 would would MD 39713 7098 46 result result VB 39713 7098 47 . . . 39713 7099 1 I -PRON- PRP 39713 7099 2 can can MD 39713 7099 3 not not RB 39713 7099 4 here here RB 39713 7099 5 give give VB 39713 7099 6 the the DT 39713 7099 7 details detail NNS 39713 7099 8 of of IN 39713 7099 9 the the DT 39713 7099 10 calculations calculation NNS 39713 7099 11 ; ; : 39713 7099 12 I -PRON- PRP 39713 7099 13 confine confine VBP 39713 7099 14 myself -PRON- PRP 39713 7099 15 to to IN 39713 7099 16 saying say VBG 39713 7099 17 that that IN 39713 7099 18 this this DT 39713 7099 19 theory theory NN 39713 7099 20 accounts account VBZ 39713 7099 21 for for IN 39713 7099 22 all all PDT 39713 7099 23 the the DT 39713 7099 24 known know VBN 39713 7099 25 facts fact NNS 39713 7099 26 , , , 39713 7099 27 and and CC 39713 7099 28 has have VBZ 39713 7099 29 predicted predict VBN 39713 7099 30 new new JJ 39713 7099 31 ones one NNS 39713 7099 32 , , , 39713 7099 33 such such JJ 39713 7099 34 as as IN 39713 7099 35 the the DT 39713 7099 36 Zeeman Zeeman NNP 39713 7099 37 effect effect NN 39713 7099 38 . . . 39713 7100 1 V V NNP 39713 7100 2 _ _ NNP 39713 7100 3 Mechanical Mechanical NNP 39713 7100 4 Consequences Consequences NNPS 39713 7100 5 _ _ IN 39713 7100 6 We -PRON- PRP 39713 7100 7 now now RB 39713 7100 8 may may MD 39713 7100 9 face face VB 39713 7100 10 two two CD 39713 7100 11 hypotheses hypothesis NNS 39713 7100 12 : : : 39713 7100 13 1º 1º CD 39713 7100 14 The the DT 39713 7100 15 positive positive JJ 39713 7100 16 electrons electron NNS 39713 7100 17 have have VBP 39713 7100 18 a a DT 39713 7100 19 real real JJ 39713 7100 20 mass mass NN 39713 7100 21 , , , 39713 7100 22 much much RB 39713 7100 23 greater great JJR 39713 7100 24 than than IN 39713 7100 25 their -PRON- PRP$ 39713 7100 26 fictitious fictitious JJ 39713 7100 27 electromagnetic electromagnetic JJ 39713 7100 28 mass mass NN 39713 7100 29 ; ; : 39713 7100 30 the the DT 39713 7100 31 negative negative JJ 39713 7100 32 electrons electron NNS 39713 7100 33 alone alone RB 39713 7100 34 lack lack VBP 39713 7100 35 real real JJ 39713 7100 36 mass mass NN 39713 7100 37 . . . 39713 7101 1 We -PRON- PRP 39713 7101 2 might may MD 39713 7101 3 even even RB 39713 7101 4 suppose suppose VB 39713 7101 5 that that IN 39713 7101 6 apart apart RB 39713 7101 7 from from IN 39713 7101 8 electrons electron NNS 39713 7101 9 of of IN 39713 7101 10 the the DT 39713 7101 11 two two CD 39713 7101 12 signs sign NNS 39713 7101 13 , , , 39713 7101 14 there there EX 39713 7101 15 are be VBP 39713 7101 16 neutral neutral JJ 39713 7101 17 atoms atom NNS 39713 7101 18 which which WDT 39713 7101 19 have have VBP 39713 7101 20 only only RB 39713 7101 21 their -PRON- PRP$ 39713 7101 22 real real JJ 39713 7101 23 mass mass NN 39713 7101 24 . . . 39713 7102 1 In in IN 39713 7102 2 this this DT 39713 7102 3 case case NN 39713 7102 4 , , , 39713 7102 5 mechanics mechanic NNS 39713 7102 6 is be VBZ 39713 7102 7 not not RB 39713 7102 8 affected affect VBN 39713 7102 9 ; ; : 39713 7102 10 there there EX 39713 7102 11 is be VBZ 39713 7102 12 no no DT 39713 7102 13 need need NN 39713 7102 14 of of IN 39713 7102 15 touching touch VBG 39713 7102 16 its -PRON- PRP$ 39713 7102 17 laws law NNS 39713 7102 18 ; ; : 39713 7102 19 the the DT 39713 7102 20 real real JJ 39713 7102 21 mass mass NN 39713 7102 22 is be VBZ 39713 7102 23 constant constant JJ 39713 7102 24 ; ; : 39713 7102 25 simply simply RB 39713 7102 26 , , , 39713 7102 27 motions motion NNS 39713 7102 28 are be VBP 39713 7102 29 deranged derange VBN 39713 7102 30 by by IN 39713 7102 31 the the DT 39713 7102 32 effects effect NNS 39713 7102 33 of of IN 39713 7102 34 self self NN 39713 7102 35 - - HYPH 39713 7102 36 induction induction NN 39713 7102 37 , , , 39713 7102 38 as as IN 39713 7102 39 has have VBZ 39713 7102 40 always always RB 39713 7102 41 been be VBN 39713 7102 42 known know VBN 39713 7102 43 ; ; : 39713 7102 44 moreover moreover RB 39713 7102 45 , , , 39713 7102 46 these these DT 39713 7102 47 perturbations perturbation NNS 39713 7102 48 are be VBP 39713 7102 49 almost almost RB 39713 7102 50 negligible negligible JJ 39713 7102 51 , , , 39713 7102 52 except except IN 39713 7102 53 for for IN 39713 7102 54 the the DT 39713 7102 55 negative negative JJ 39713 7102 56 electrons electron NNS 39713 7102 57 which which WDT 39713 7102 58 , , , 39713 7102 59 not not RB 39713 7102 60 having have VBG 39713 7102 61 real real JJ 39713 7102 62 mass mass NN 39713 7102 63 , , , 39713 7102 64 are be VBP 39713 7102 65 not not RB 39713 7102 66 true true JJ 39713 7102 67 matter matter NN 39713 7102 68 . . . 39713 7103 1 2º 2º NNS 39713 7103 2 But but CC 39713 7103 3 there there EX 39713 7103 4 is be VBZ 39713 7103 5 another another DT 39713 7103 6 point point NN 39713 7103 7 of of IN 39713 7103 8 view view NN 39713 7103 9 ; ; : 39713 7103 10 we -PRON- PRP 39713 7103 11 may may MD 39713 7103 12 suppose suppose VB 39713 7103 13 there there EX 39713 7103 14 are be VBP 39713 7103 15 no no DT 39713 7103 16 neutral neutral JJ 39713 7103 17 atoms atom NNS 39713 7103 18 , , , 39713 7103 19 and and CC 39713 7103 20 the the DT 39713 7103 21 positive positive JJ 39713 7103 22 electrons electron NNS 39713 7103 23 lack lack VBP 39713 7103 24 real real JJ 39713 7103 25 mass mass NN 39713 7103 26 just just RB 39713 7103 27 as as IN 39713 7103 28 the the DT 39713 7103 29 negative negative JJ 39713 7103 30 electrons electron NNS 39713 7103 31 . . . 39713 7104 1 But but CC 39713 7104 2 then then RB 39713 7104 3 , , , 39713 7104 4 real real JJ 39713 7104 5 mass mass NN 39713 7104 6 vanishing vanishing NN 39713 7104 7 , , , 39713 7104 8 either either CC 39713 7104 9 the the DT 39713 7104 10 word word NN 39713 7104 11 _ _ NNP 39713 7104 12 mass mass NN 39713 7104 13 _ _ NNP 39713 7104 14 will will MD 39713 7104 15 no no RB 39713 7104 16 longer longer RB 39713 7104 17 have have VB 39713 7104 18 any any DT 39713 7104 19 meaning meaning NN 39713 7104 20 , , , 39713 7104 21 or or CC 39713 7104 22 else else RB 39713 7104 23 it -PRON- PRP 39713 7104 24 must must MD 39713 7104 25 designate designate VB 39713 7104 26 the the DT 39713 7104 27 fictitious fictitious JJ 39713 7104 28 electromagnetic electromagnetic JJ 39713 7104 29 mass mass NN 39713 7104 30 ; ; : 39713 7104 31 in in IN 39713 7104 32 this this DT 39713 7104 33 case case NN 39713 7104 34 , , , 39713 7104 35 mass mass NN 39713 7104 36 will will MD 39713 7104 37 no no RB 39713 7104 38 longer longer RB 39713 7104 39 be be VB 39713 7104 40 constant constant JJ 39713 7104 41 , , , 39713 7104 42 the the DT 39713 7104 43 transversal transversal NN 39713 7104 44 _ _ NNP 39713 7104 45 mass mass NN 39713 7104 46 _ _ NNP 39713 7104 47 will will MD 39713 7104 48 no no RB 39713 7104 49 longer longer RB 39713 7104 50 be be VB 39713 7104 51 equal equal JJ 39713 7104 52 to to IN 39713 7104 53 the the DT 39713 7104 54 longitudinal longitudinal NN 39713 7104 55 , , , 39713 7104 56 the the DT 39713 7104 57 principles principle NNS 39713 7104 58 of of IN 39713 7104 59 mechanics mechanic NNS 39713 7104 60 will will MD 39713 7104 61 be be VB 39713 7104 62 overthrown overthrow VBN 39713 7104 63 . . . 39713 7105 1 First first RB 39713 7105 2 a a DT 39713 7105 3 word word NN 39713 7105 4 of of IN 39713 7105 5 explanation explanation NN 39713 7105 6 . . . 39713 7106 1 We -PRON- PRP 39713 7106 2 have have VBP 39713 7106 3 said say VBN 39713 7106 4 that that DT 39713 7106 5 , , , 39713 7106 6 for for IN 39713 7106 7 the the DT 39713 7106 8 same same JJ 39713 7106 9 charge charge NN 39713 7106 10 , , , 39713 7106 11 the the DT 39713 7106 12 _ _ NNP 39713 7106 13 total total NN 39713 7106 14 _ _ NNP 39713 7106 15 mass mass NN 39713 7106 16 of of IN 39713 7106 17 a a DT 39713 7106 18 positive positive JJ 39713 7106 19 electron electron NN 39713 7106 20 is be VBZ 39713 7106 21 much much RB 39713 7106 22 greater great JJR 39713 7106 23 than than IN 39713 7106 24 that that DT 39713 7106 25 of of IN 39713 7106 26 a a DT 39713 7106 27 negative negative NN 39713 7106 28 . . . 39713 7107 1 And and CC 39713 7107 2 then then RB 39713 7107 3 it -PRON- PRP 39713 7107 4 is be VBZ 39713 7107 5 natural natural JJ 39713 7107 6 to to TO 39713 7107 7 think think VB 39713 7107 8 that that IN 39713 7107 9 this this DT 39713 7107 10 difference difference NN 39713 7107 11 is be VBZ 39713 7107 12 explained explain VBN 39713 7107 13 by by IN 39713 7107 14 the the DT 39713 7107 15 positive positive JJ 39713 7107 16 electron electron NN 39713 7107 17 having have VBG 39713 7107 18 , , , 39713 7107 19 besides besides IN 39713 7107 20 its -PRON- PRP$ 39713 7107 21 fictitious fictitious JJ 39713 7107 22 mass mass NN 39713 7107 23 , , , 39713 7107 24 a a DT 39713 7107 25 considerable considerable JJ 39713 7107 26 real real JJ 39713 7107 27 mass mass NN 39713 7107 28 ; ; : 39713 7107 29 which which WDT 39713 7107 30 takes take VBZ 39713 7107 31 us -PRON- PRP 39713 7107 32 back back RB 39713 7107 33 to to IN 39713 7107 34 the the DT 39713 7107 35 first first JJ 39713 7107 36 hypothesis hypothesis NN 39713 7107 37 . . . 39713 7108 1 But but CC 39713 7108 2 we -PRON- PRP 39713 7108 3 may may MD 39713 7108 4 just just RB 39713 7108 5 as as RB 39713 7108 6 well well RB 39713 7108 7 suppose suppose VB 39713 7108 8 that that IN 39713 7108 9 the the DT 39713 7108 10 real real JJ 39713 7108 11 mass mass NN 39713 7108 12 is be VBZ 39713 7108 13 null null JJ 39713 7108 14 for for IN 39713 7108 15 these these DT 39713 7108 16 as as IN 39713 7108 17 for for IN 39713 7108 18 the the DT 39713 7108 19 others other NNS 39713 7108 20 , , , 39713 7108 21 but but CC 39713 7108 22 that that IN 39713 7108 23 the the DT 39713 7108 24 fictitious fictitious JJ 39713 7108 25 mass mass NN 39713 7108 26 of of IN 39713 7108 27 the the DT 39713 7108 28 positive positive JJ 39713 7108 29 electron electron NN 39713 7108 30 is be VBZ 39713 7108 31 much much RB 39713 7108 32 the the DT 39713 7108 33 greater great JJR 39713 7108 34 since since IN 39713 7108 35 this this DT 39713 7108 36 electron electron NN 39713 7108 37 is be VBZ 39713 7108 38 much much RB 39713 7108 39 the the DT 39713 7108 40 smaller small JJR 39713 7108 41 . . . 39713 7109 1 I -PRON- PRP 39713 7109 2 say say VBP 39713 7109 3 advisedly advisedly RB 39713 7109 4 : : : 39713 7109 5 much much RB 39713 7109 6 the the DT 39713 7109 7 smaller small JJR 39713 7109 8 . . . 39713 7110 1 And and CC 39713 7110 2 , , , 39713 7110 3 in in IN 39713 7110 4 fact fact NN 39713 7110 5 , , , 39713 7110 6 in in IN 39713 7110 7 this this DT 39713 7110 8 hypothesis hypothesis NN 39713 7110 9 inertia inertia NN 39713 7110 10 is be VBZ 39713 7110 11 exclusively exclusively RB 39713 7110 12 electromagnetic electromagnetic JJ 39713 7110 13 in in IN 39713 7110 14 origin origin NN 39713 7110 15 ; ; : 39713 7110 16 it -PRON- PRP 39713 7110 17 reduces reduce VBZ 39713 7110 18 itself -PRON- PRP 39713 7110 19 to to IN 39713 7110 20 the the DT 39713 7110 21 inertia inertia NN 39713 7110 22 of of IN 39713 7110 23 the the DT 39713 7110 24 ether ether NN 39713 7110 25 ; ; : 39713 7110 26 the the DT 39713 7110 27 electrons electron NNS 39713 7110 28 are be VBP 39713 7110 29 no no RB 39713 7110 30 longer long JJR 39713 7110 31 anything anything NN 39713 7110 32 by by IN 39713 7110 33 themselves -PRON- PRP 39713 7110 34 ; ; : 39713 7110 35 they -PRON- PRP 39713 7110 36 are be VBP 39713 7110 37 solely solely RB 39713 7110 38 holes hole NNS 39713 7110 39 in in IN 39713 7110 40 the the DT 39713 7110 41 ether ether NN 39713 7110 42 and and CC 39713 7110 43 around around IN 39713 7110 44 which which WDT 39713 7110 45 the the DT 39713 7110 46 ether ether NN 39713 7110 47 moves move VBZ 39713 7110 48 ; ; : 39713 7110 49 the the DT 39713 7110 50 smaller small JJR 39713 7110 51 these these DT 39713 7110 52 holes hole NNS 39713 7110 53 are be VBP 39713 7110 54 , , , 39713 7110 55 the the DT 39713 7110 56 more more RBR 39713 7110 57 will will MD 39713 7110 58 there there EX 39713 7110 59 be be VB 39713 7110 60 of of IN 39713 7110 61 ether ether NN 39713 7110 62 , , , 39713 7110 63 the the DT 39713 7110 64 greater great JJR 39713 7110 65 , , , 39713 7110 66 consequently consequently RB 39713 7110 67 , , , 39713 7110 68 will will MD 39713 7110 69 be be VB 39713 7110 70 the the DT 39713 7110 71 inertia inertia NN 39713 7110 72 of of IN 39713 7110 73 the the DT 39713 7110 74 ether ether NN 39713 7110 75 . . . 39713 7111 1 How how WRB 39713 7111 2 shall shall MD 39713 7111 3 we -PRON- PRP 39713 7111 4 decide decide VB 39713 7111 5 between between IN 39713 7111 6 these these DT 39713 7111 7 two two CD 39713 7111 8 hypotheses hypothesis NNS 39713 7111 9 ? ? . 39713 7112 1 By by IN 39713 7112 2 operating operate VBG 39713 7112 3 upon upon IN 39713 7112 4 the the DT 39713 7112 5 canal canal NN 39713 7112 6 rays ray NNS 39713 7112 7 as as IN 39713 7112 8 Kaufmann Kaufmann NNP 39713 7112 9 did do VBD 39713 7112 10 upon upon IN 39713 7112 11 the the DT 39713 7112 12 [ [ -LRB- 39713 7112 13 beta beta NN 39713 7112 14 ] ] -RRB- 39713 7112 15 rays ray NNS 39713 7112 16 ? ? . 39713 7113 1 This this DT 39713 7113 2 is be VBZ 39713 7113 3 impossible impossible JJ 39713 7113 4 ; ; : 39713 7113 5 the the DT 39713 7113 6 velocity velocity NN 39713 7113 7 of of IN 39713 7113 8 these these DT 39713 7113 9 rays ray NNS 39713 7113 10 is be VBZ 39713 7113 11 much much RB 39713 7113 12 too too RB 39713 7113 13 slight slight JJ 39713 7113 14 . . . 39713 7114 1 Should Should MD 39713 7114 2 each each DT 39713 7114 3 therefore therefore RB 39713 7114 4 decide decide VB 39713 7114 5 according accord VBG 39713 7114 6 to to IN 39713 7114 7 his -PRON- PRP$ 39713 7114 8 temperament temperament NN 39713 7114 9 , , , 39713 7114 10 the the DT 39713 7114 11 conservatives conservative NNS 39713 7114 12 going go VBG 39713 7114 13 to to IN 39713 7114 14 one one CD 39713 7114 15 side side NN 39713 7114 16 and and CC 39713 7114 17 the the DT 39713 7114 18 lovers lover NNS 39713 7114 19 of of IN 39713 7114 20 the the DT 39713 7114 21 new new JJ 39713 7114 22 to to IN 39713 7114 23 the the DT 39713 7114 24 other other JJ 39713 7114 25 ? ? . 39713 7115 1 Perhaps perhaps RB 39713 7115 2 , , , 39713 7115 3 but but CC 39713 7115 4 , , , 39713 7115 5 to to TO 39713 7115 6 fully fully RB 39713 7115 7 understand understand VB 39713 7115 8 the the DT 39713 7115 9 arguments argument NNS 39713 7115 10 of of IN 39713 7115 11 the the DT 39713 7115 12 innovators innovator NNS 39713 7115 13 , , , 39713 7115 14 other other JJ 39713 7115 15 considerations consideration NNS 39713 7115 16 must must MD 39713 7115 17 come come VB 39713 7115 18 in in RP 39713 7115 19 . . . 39713 7116 1 CHAPTER CHAPTER NNP 39713 7116 2 II II NNP 39713 7116 3 MECHANICS MECHANICS NNP 39713 7116 4 AND and CC 39713 7116 5 OPTICS optics RB 39713 7116 6 I -PRON- PRP 39713 7116 7 _ _ VBP 39713 7116 8 Aberration aberration NN 39713 7116 9 _ _ NNP 39713 7116 10 You -PRON- PRP 39713 7116 11 know know VBP 39713 7116 12 in in IN 39713 7116 13 what what WP 39713 7116 14 the the DT 39713 7116 15 phenomenon phenomenon NN 39713 7116 16 of of IN 39713 7116 17 aberration aberration NN 39713 7116 18 , , , 39713 7116 19 discovered discover VBN 39713 7116 20 by by IN 39713 7116 21 Bradley Bradley NNP 39713 7116 22 , , , 39713 7116 23 consists consist VBZ 39713 7116 24 . . . 39713 7117 1 The the DT 39713 7117 2 light light JJ 39713 7117 3 issuing issue VBG 39713 7117 4 from from IN 39713 7117 5 a a DT 39713 7117 6 star star NN 39713 7117 7 takes take VBZ 39713 7117 8 a a DT 39713 7117 9 certain certain JJ 39713 7117 10 time time NN 39713 7117 11 to to TO 39713 7117 12 go go VB 39713 7117 13 through through IN 39713 7117 14 a a DT 39713 7117 15 telescope telescope NN 39713 7117 16 ; ; : 39713 7117 17 during during IN 39713 7117 18 this this DT 39713 7117 19 time time NN 39713 7117 20 , , , 39713 7117 21 the the DT 39713 7117 22 telescope telescope NN 39713 7117 23 , , , 39713 7117 24 carried carry VBN 39713 7117 25 along along RB 39713 7117 26 by by IN 39713 7117 27 the the DT 39713 7117 28 motion motion NN 39713 7117 29 of of IN 39713 7117 30 the the DT 39713 7117 31 earth earth NN 39713 7117 32 , , , 39713 7117 33 is be VBZ 39713 7117 34 displaced displace VBN 39713 7117 35 . . . 39713 7118 1 If if IN 39713 7118 2 therefore therefore RB 39713 7118 3 the the DT 39713 7118 4 telescope telescope NN 39713 7118 5 were be VBD 39713 7118 6 pointed point VBN 39713 7118 7 in in IN 39713 7118 8 the the DT 39713 7118 9 _ _ NNP 39713 7118 10 true true JJ 39713 7118 11 _ _ NNP 39713 7118 12 direction direction NN 39713 7118 13 of of IN 39713 7118 14 the the DT 39713 7118 15 star star NN 39713 7118 16 , , , 39713 7118 17 the the DT 39713 7118 18 image image NN 39713 7118 19 would would MD 39713 7118 20 be be VB 39713 7118 21 formed form VBN 39713 7118 22 at at IN 39713 7118 23 the the DT 39713 7118 24 point point NN 39713 7118 25 occupied occupy VBN 39713 7118 26 by by IN 39713 7118 27 the the DT 39713 7118 28 crossing crossing NN 39713 7118 29 of of IN 39713 7118 30 the the DT 39713 7118 31 threads thread NNS 39713 7118 32 of of IN 39713 7118 33 the the DT 39713 7118 34 network network NN 39713 7118 35 when when WRB 39713 7118 36 the the DT 39713 7118 37 light light NN 39713 7118 38 has have VBZ 39713 7118 39 reached reach VBN 39713 7118 40 the the DT 39713 7118 41 objective objective NN 39713 7118 42 ; ; : 39713 7118 43 and and CC 39713 7118 44 this this DT 39713 7118 45 crossing crossing NN 39713 7118 46 would would MD 39713 7118 47 no no RB 39713 7118 48 longer longer RB 39713 7118 49 be be VB 39713 7118 50 at at IN 39713 7118 51 this this DT 39713 7118 52 same same JJ 39713 7118 53 point point NN 39713 7118 54 when when WRB 39713 7118 55 the the DT 39713 7118 56 light light NN 39713 7118 57 reached reach VBD 39713 7118 58 the the DT 39713 7118 59 plane plane NN 39713 7118 60 of of IN 39713 7118 61 the the DT 39713 7118 62 network network NN 39713 7118 63 . . . 39713 7119 1 We -PRON- PRP 39713 7119 2 would would MD 39713 7119 3 therefore therefore RB 39713 7119 4 be be VB 39713 7119 5 led lead VBN 39713 7119 6 to to IN 39713 7119 7 mis mis NN 39713 7119 8 - - HYPH 39713 7119 9 point point VB 39713 7119 10 the the DT 39713 7119 11 telescope telescope NN 39713 7119 12 to to TO 39713 7119 13 bring bring VB 39713 7119 14 the the DT 39713 7119 15 image image NN 39713 7119 16 upon upon IN 39713 7119 17 the the DT 39713 7119 18 crossing crossing NN 39713 7119 19 of of IN 39713 7119 20 the the DT 39713 7119 21 threads thread NNS 39713 7119 22 . . . 39713 7120 1 Thence thence NN 39713 7120 2 results result VBZ 39713 7120 3 that that IN 39713 7120 4 the the DT 39713 7120 5 astronomer astronomer NN 39713 7120 6 will will MD 39713 7120 7 not not RB 39713 7120 8 point point VB 39713 7120 9 the the DT 39713 7120 10 telescope telescope NN 39713 7120 11 in in IN 39713 7120 12 the the DT 39713 7120 13 direction direction NN 39713 7120 14 of of IN 39713 7120 15 the the DT 39713 7120 16 absolute absolute JJ 39713 7120 17 velocity velocity NN 39713 7120 18 of of IN 39713 7120 19 the the DT 39713 7120 20 light light NN 39713 7120 21 , , , 39713 7120 22 that that DT 39713 7120 23 is be VBZ 39713 7120 24 to to TO 39713 7120 25 say say VB 39713 7120 26 toward toward IN 39713 7120 27 the the DT 39713 7120 28 true true JJ 39713 7120 29 position position NN 39713 7120 30 of of IN 39713 7120 31 the the DT 39713 7120 32 star star NN 39713 7120 33 , , , 39713 7120 34 but but CC 39713 7120 35 just just RB 39713 7120 36 in in IN 39713 7120 37 the the DT 39713 7120 38 direction direction NN 39713 7120 39 of of IN 39713 7120 40 the the DT 39713 7120 41 relative relative JJ 39713 7120 42 velocity velocity NN 39713 7120 43 of of IN 39713 7120 44 the the DT 39713 7120 45 light light NN 39713 7120 46 with with IN 39713 7120 47 reference reference NN 39713 7120 48 to to IN 39713 7120 49 the the DT 39713 7120 50 earth earth NN 39713 7120 51 , , , 39713 7120 52 that that DT 39713 7120 53 is be VBZ 39713 7120 54 to to TO 39713 7120 55 say say VB 39713 7120 56 toward toward IN 39713 7120 57 what what WP 39713 7120 58 is be VBZ 39713 7120 59 called call VBN 39713 7120 60 the the DT 39713 7120 61 apparent apparent JJ 39713 7120 62 position position NN 39713 7120 63 of of IN 39713 7120 64 the the DT 39713 7120 65 star star NN 39713 7120 66 . . . 39713 7121 1 The the DT 39713 7121 2 velocity velocity NN 39713 7121 3 of of IN 39713 7121 4 light light NN 39713 7121 5 is be VBZ 39713 7121 6 known know VBN 39713 7121 7 ; ; : 39713 7121 8 we -PRON- PRP 39713 7121 9 might may MD 39713 7121 10 therefore therefore RB 39713 7121 11 suppose suppose VB 39713 7121 12 that that IN 39713 7121 13 we -PRON- PRP 39713 7121 14 have have VBP 39713 7121 15 the the DT 39713 7121 16 means mean NNS 39713 7121 17 of of IN 39713 7121 18 calculating calculate VBG 39713 7121 19 the the DT 39713 7121 20 _ _ NNP 39713 7121 21 absolute absolute JJ 39713 7121 22 _ _ NNP 39713 7121 23 velocity velocity NN 39713 7121 24 of of IN 39713 7121 25 the the DT 39713 7121 26 earth earth NN 39713 7121 27 . . . 39713 7122 1 ( ( -LRB- 39713 7122 2 I -PRON- PRP 39713 7122 3 shall shall MD 39713 7122 4 soon soon RB 39713 7122 5 explain explain VB 39713 7122 6 my -PRON- PRP$ 39713 7122 7 use use NN 39713 7122 8 here here RB 39713 7122 9 of of IN 39713 7122 10 the the DT 39713 7122 11 word word NN 39713 7122 12 absolute absolute JJ 39713 7122 13 . . . 39713 7122 14 ) ) -RRB- 39713 7123 1 Nothing nothing NN 39713 7123 2 of of IN 39713 7123 3 the the DT 39713 7123 4 sort sort NN 39713 7123 5 ; ; : 39713 7123 6 we -PRON- PRP 39713 7123 7 indeed indeed RB 39713 7123 8 know know VBP 39713 7123 9 the the DT 39713 7123 10 apparent apparent JJ 39713 7123 11 position position NN 39713 7123 12 of of IN 39713 7123 13 the the DT 39713 7123 14 star star NN 39713 7123 15 we -PRON- PRP 39713 7123 16 observe observe VBP 39713 7123 17 ; ; : 39713 7123 18 but but CC 39713 7123 19 we -PRON- PRP 39713 7123 20 do do VBP 39713 7123 21 not not RB 39713 7123 22 know know VB 39713 7123 23 its -PRON- PRP$ 39713 7123 24 true true JJ 39713 7123 25 position position NN 39713 7123 26 ; ; : 39713 7123 27 we -PRON- PRP 39713 7123 28 know know VBP 39713 7123 29 the the DT 39713 7123 30 velocity velocity NN 39713 7123 31 of of IN 39713 7123 32 the the DT 39713 7123 33 light light NN 39713 7123 34 only only RB 39713 7123 35 in in IN 39713 7123 36 magnitude magnitude NN 39713 7123 37 and and CC 39713 7123 38 not not RB 39713 7123 39 in in IN 39713 7123 40 direction direction NN 39713 7123 41 . . . 39713 7124 1 If if IN 39713 7124 2 therefore therefore RB 39713 7124 3 the the DT 39713 7124 4 absolute absolute JJ 39713 7124 5 velocity velocity NN 39713 7124 6 of of IN 39713 7124 7 the the DT 39713 7124 8 earth earth NN 39713 7124 9 were be VBD 39713 7124 10 straight straight JJ 39713 7124 11 and and CC 39713 7124 12 uniform uniform JJ 39713 7124 13 , , , 39713 7124 14 we -PRON- PRP 39713 7124 15 should should MD 39713 7124 16 never never RB 39713 7124 17 have have VB 39713 7124 18 suspected suspect VBN 39713 7124 19 the the DT 39713 7124 20 phenomenon phenomenon NN 39713 7124 21 of of IN 39713 7124 22 aberration aberration NN 39713 7124 23 ; ; : 39713 7124 24 but but CC 39713 7124 25 it -PRON- PRP 39713 7124 26 is be VBZ 39713 7124 27 variable variable JJ 39713 7124 28 ; ; : 39713 7124 29 it -PRON- PRP 39713 7124 30 is be VBZ 39713 7124 31 composed compose VBN 39713 7124 32 of of IN 39713 7124 33 two two CD 39713 7124 34 parts part NNS 39713 7124 35 : : : 39713 7124 36 the the DT 39713 7124 37 velocity velocity NN 39713 7124 38 of of IN 39713 7124 39 the the DT 39713 7124 40 solar solar JJ 39713 7124 41 system system NN 39713 7124 42 , , , 39713 7124 43 which which WDT 39713 7124 44 is be VBZ 39713 7124 45 straight straight JJ 39713 7124 46 and and CC 39713 7124 47 uniform uniform JJ 39713 7124 48 ; ; : 39713 7124 49 the the DT 39713 7124 50 velocity velocity NN 39713 7124 51 of of IN 39713 7124 52 the the DT 39713 7124 53 earth earth NN 39713 7124 54 with with IN 39713 7124 55 reference reference NN 39713 7124 56 to to IN 39713 7124 57 the the DT 39713 7124 58 sun sun NN 39713 7124 59 , , , 39713 7124 60 which which WDT 39713 7124 61 is be VBZ 39713 7124 62 variable variable JJ 39713 7124 63 . . . 39713 7125 1 If if IN 39713 7125 2 the the DT 39713 7125 3 velocity velocity NN 39713 7125 4 of of IN 39713 7125 5 the the DT 39713 7125 6 solar solar JJ 39713 7125 7 system system NN 39713 7125 8 , , , 39713 7125 9 that that DT 39713 7125 10 is be VBZ 39713 7125 11 to to TO 39713 7125 12 say say VB 39713 7125 13 if if IN 39713 7125 14 the the DT 39713 7125 15 constant constant JJ 39713 7125 16 part part NN 39713 7125 17 existed exist VBD 39713 7125 18 alone alone RB 39713 7125 19 , , , 39713 7125 20 the the DT 39713 7125 21 observed observed JJ 39713 7125 22 direction direction NN 39713 7125 23 would would MD 39713 7125 24 be be VB 39713 7125 25 invariable invariable JJ 39713 7125 26 . . . 39713 7126 1 This this DT 39713 7126 2 position position NN 39713 7126 3 that that IN 39713 7126 4 one one PRP 39713 7126 5 would would MD 39713 7126 6 thus thus RB 39713 7126 7 observe observe VB 39713 7126 8 is be VBZ 39713 7126 9 called call VBN 39713 7126 10 the the DT 39713 7126 11 _ _ NNP 39713 7126 12 mean mean NN 39713 7126 13 _ _ NNP 39713 7126 14 apparent apparent JJ 39713 7126 15 position position NN 39713 7126 16 of of IN 39713 7126 17 the the DT 39713 7126 18 star star NN 39713 7126 19 . . . 39713 7127 1 Taking take VBG 39713 7127 2 account account NN 39713 7127 3 now now RB 39713 7127 4 at at IN 39713 7127 5 the the DT 39713 7127 6 same same JJ 39713 7127 7 time time NN 39713 7127 8 of of IN 39713 7127 9 the the DT 39713 7127 10 two two CD 39713 7127 11 parts part NNS 39713 7127 12 of of IN 39713 7127 13 the the DT 39713 7127 14 velocity velocity NN 39713 7127 15 of of IN 39713 7127 16 the the DT 39713 7127 17 earth earth NN 39713 7127 18 , , , 39713 7127 19 we -PRON- PRP 39713 7127 20 shall shall MD 39713 7127 21 have have VB 39713 7127 22 the the DT 39713 7127 23 actual actual JJ 39713 7127 24 apparent apparent JJ 39713 7127 25 position position NN 39713 7127 26 , , , 39713 7127 27 which which WDT 39713 7127 28 describes describe VBZ 39713 7127 29 a a DT 39713 7127 30 little little JJ 39713 7127 31 ellipse ellipse NN 39713 7127 32 around around IN 39713 7127 33 the the DT 39713 7127 34 mean mean JJ 39713 7127 35 apparent apparent JJ 39713 7127 36 position position NN 39713 7127 37 , , , 39713 7127 38 and and CC 39713 7127 39 it -PRON- PRP 39713 7127 40 is be VBZ 39713 7127 41 this this DT 39713 7127 42 ellipse ellipse NN 39713 7127 43 that that IN 39713 7127 44 we -PRON- PRP 39713 7127 45 observe observe VBP 39713 7127 46 . . . 39713 7128 1 Neglecting neglect VBG 39713 7128 2 very very RB 39713 7128 3 small small JJ 39713 7128 4 quantities quantity NNS 39713 7128 5 , , , 39713 7128 6 we -PRON- PRP 39713 7128 7 shall shall MD 39713 7128 8 see see VB 39713 7128 9 that that IN 39713 7128 10 the the DT 39713 7128 11 dimensions dimension NNS 39713 7128 12 of of IN 39713 7128 13 this this DT 39713 7128 14 ellipse ellipse NN 39713 7128 15 depend depend VBP 39713 7128 16 only only RB 39713 7128 17 upon upon IN 39713 7128 18 the the DT 39713 7128 19 ratio ratio NN 39713 7128 20 of of IN 39713 7128 21 the the DT 39713 7128 22 velocity velocity NN 39713 7128 23 of of IN 39713 7128 24 the the DT 39713 7128 25 earth earth NN 39713 7128 26 with with IN 39713 7128 27 reference reference NN 39713 7128 28 to to IN 39713 7128 29 the the DT 39713 7128 30 sun sun NN 39713 7128 31 to to IN 39713 7128 32 the the DT 39713 7128 33 velocity velocity NN 39713 7128 34 of of IN 39713 7128 35 light light NN 39713 7128 36 , , , 39713 7128 37 so so IN 39713 7128 38 that that IN 39713 7128 39 the the DT 39713 7128 40 relative relative JJ 39713 7128 41 velocity velocity NN 39713 7128 42 of of IN 39713 7128 43 the the DT 39713 7128 44 earth earth NN 39713 7128 45 with with IN 39713 7128 46 regard regard NN 39713 7128 47 to to IN 39713 7128 48 the the DT 39713 7128 49 sun sun NN 39713 7128 50 has have VBZ 39713 7128 51 alone alone RB 39713 7128 52 come come VBN 39713 7128 53 in in RP 39713 7128 54 . . . 39713 7129 1 But but CC 39713 7129 2 wait wait VB 39713 7129 3 ! ! . 39713 7130 1 This this DT 39713 7130 2 result result NN 39713 7130 3 is be VBZ 39713 7130 4 not not RB 39713 7130 5 exact exact JJ 39713 7130 6 , , , 39713 7130 7 it -PRON- PRP 39713 7130 8 is be VBZ 39713 7130 9 only only RB 39713 7130 10 approximate approximate JJ 39713 7130 11 ; ; : 39713 7130 12 let let VB 39713 7130 13 us -PRON- PRP 39713 7130 14 push push VB 39713 7130 15 the the DT 39713 7130 16 approximation approximation NN 39713 7130 17 a a DT 39713 7130 18 little little JJ 39713 7130 19 farther far RBR 39713 7130 20 . . . 39713 7131 1 The the DT 39713 7131 2 dimensions dimension NNS 39713 7131 3 of of IN 39713 7131 4 the the DT 39713 7131 5 ellipse ellipse NN 39713 7131 6 will will MD 39713 7131 7 depend depend VB 39713 7131 8 then then RB 39713 7131 9 upon upon IN 39713 7131 10 the the DT 39713 7131 11 absolute absolute JJ 39713 7131 12 velocity velocity NN 39713 7131 13 of of IN 39713 7131 14 the the DT 39713 7131 15 earth earth NN 39713 7131 16 . . . 39713 7132 1 Let let VB 39713 7132 2 us -PRON- PRP 39713 7132 3 compare compare VB 39713 7132 4 the the DT 39713 7132 5 major major JJ 39713 7132 6 axes axis NNS 39713 7132 7 of of IN 39713 7132 8 the the DT 39713 7132 9 ellipse ellipse NN 39713 7132 10 for for IN 39713 7132 11 the the DT 39713 7132 12 different different JJ 39713 7132 13 stars star NNS 39713 7132 14 : : : 39713 7132 15 we -PRON- PRP 39713 7132 16 shall shall MD 39713 7132 17 have have VB 39713 7132 18 , , , 39713 7132 19 theoretically theoretically RB 39713 7132 20 at at IN 39713 7132 21 least least JJS 39713 7132 22 , , , 39713 7132 23 the the DT 39713 7132 24 means mean NNS 39713 7132 25 of of IN 39713 7132 26 determining determine VBG 39713 7132 27 this this DT 39713 7132 28 absolute absolute JJ 39713 7132 29 velocity velocity NN 39713 7132 30 . . . 39713 7133 1 That that DT 39713 7133 2 would would MD 39713 7133 3 be be VB 39713 7133 4 perhaps perhaps RB 39713 7133 5 less less RBR 39713 7133 6 shocking shocking JJ 39713 7133 7 than than IN 39713 7133 8 it -PRON- PRP 39713 7133 9 at at IN 39713 7133 10 first first RB 39713 7133 11 seems seem VBZ 39713 7133 12 ; ; : 39713 7133 13 it -PRON- PRP 39713 7133 14 is be VBZ 39713 7133 15 a a DT 39713 7133 16 question question NN 39713 7133 17 , , , 39713 7133 18 in in IN 39713 7133 19 fact fact NN 39713 7133 20 , , , 39713 7133 21 not not RB 39713 7133 22 of of IN 39713 7133 23 the the DT 39713 7133 24 velocity velocity NN 39713 7133 25 with with IN 39713 7133 26 reference reference NN 39713 7133 27 to to IN 39713 7133 28 an an DT 39713 7133 29 absolute absolute JJ 39713 7133 30 void void NN 39713 7133 31 , , , 39713 7133 32 but but CC 39713 7133 33 of of IN 39713 7133 34 the the DT 39713 7133 35 velocity velocity NN 39713 7133 36 with with IN 39713 7133 37 regard regard NN 39713 7133 38 to to IN 39713 7133 39 the the DT 39713 7133 40 ether ether NN 39713 7133 41 , , , 39713 7133 42 which which WDT 39713 7133 43 is be VBZ 39713 7133 44 taken take VBN 39713 7133 45 _ _ NNP 39713 7133 46 by by IN 39713 7133 47 definition definition NN 39713 7133 48 _ _ NNP 39713 7133 49 as as IN 39713 7133 50 being be VBG 39713 7133 51 absolutely absolutely RB 39713 7133 52 at at IN 39713 7133 53 rest rest NN 39713 7133 54 . . . 39713 7134 1 Besides besides IN 39713 7134 2 , , , 39713 7134 3 this this DT 39713 7134 4 method method NN 39713 7134 5 is be VBZ 39713 7134 6 purely purely RB 39713 7134 7 theoretical theoretical JJ 39713 7134 8 . . . 39713 7135 1 In in IN 39713 7135 2 fact fact NN 39713 7135 3 , , , 39713 7135 4 the the DT 39713 7135 5 aberration aberration NN 39713 7135 6 is be VBZ 39713 7135 7 very very RB 39713 7135 8 small small JJ 39713 7135 9 ; ; : 39713 7135 10 the the DT 39713 7135 11 possible possible JJ 39713 7135 12 variations variation NNS 39713 7135 13 of of IN 39713 7135 14 the the DT 39713 7135 15 ellipse ellipse NN 39713 7135 16 of of IN 39713 7135 17 aberration aberration NN 39713 7135 18 are be VBP 39713 7135 19 much much RB 39713 7135 20 smaller small JJR 39713 7135 21 yet yet RB 39713 7135 22 , , , 39713 7135 23 and and CC 39713 7135 24 , , , 39713 7135 25 if if IN 39713 7135 26 we -PRON- PRP 39713 7135 27 consider consider VBP 39713 7135 28 the the DT 39713 7135 29 aberration aberration NN 39713 7135 30 as as IN 39713 7135 31 of of IN 39713 7135 32 the the DT 39713 7135 33 first first JJ 39713 7135 34 order order NN 39713 7135 35 , , , 39713 7135 36 they -PRON- PRP 39713 7135 37 should should MD 39713 7135 38 therefore therefore RB 39713 7135 39 be be VB 39713 7135 40 regarded regard VBN 39713 7135 41 as as IN 39713 7135 42 of of IN 39713 7135 43 the the DT 39713 7135 44 second second JJ 39713 7135 45 order order NN 39713 7135 46 : : : 39713 7135 47 about about RB 39713 7135 48 a a DT 39713 7135 49 millionth millionth NN 39713 7135 50 of of IN 39713 7135 51 a a DT 39713 7135 52 second second JJ 39713 7135 53 ; ; : 39713 7135 54 they -PRON- PRP 39713 7135 55 are be VBP 39713 7135 56 absolutely absolutely RB 39713 7135 57 inappreciable inappreciable JJ 39713 7135 58 for for IN 39713 7135 59 our -PRON- PRP$ 39713 7135 60 instruments instrument NNS 39713 7135 61 . . . 39713 7136 1 We -PRON- PRP 39713 7136 2 shall shall MD 39713 7136 3 finally finally RB 39713 7136 4 see see VB 39713 7136 5 , , , 39713 7136 6 further further RB 39713 7136 7 on on RB 39713 7136 8 , , , 39713 7136 9 why why WRB 39713 7136 10 the the DT 39713 7136 11 preceding precede VBG 39713 7136 12 theory theory NN 39713 7136 13 should should MD 39713 7136 14 be be VB 39713 7136 15 rejected reject VBN 39713 7136 16 , , , 39713 7136 17 and and CC 39713 7136 18 why why WRB 39713 7136 19 we -PRON- PRP 39713 7136 20 could could MD 39713 7136 21 not not RB 39713 7136 22 determine determine VB 39713 7136 23 this this DT 39713 7136 24 absolute absolute JJ 39713 7136 25 velocity velocity NN 39713 7136 26 even even RB 39713 7136 27 if if IN 39713 7136 28 our -PRON- PRP$ 39713 7136 29 instruments instrument NNS 39713 7136 30 were be VBD 39713 7136 31 ten ten CD 39713 7136 32 thousand thousand CD 39713 7136 33 times time NNS 39713 7136 34 more more RBR 39713 7136 35 precise precise JJ 39713 7136 36 ! ! . 39713 7137 1 One one PRP 39713 7137 2 might may MD 39713 7137 3 imagine imagine VB 39713 7137 4 some some DT 39713 7137 5 other other JJ 39713 7137 6 means mean NNS 39713 7137 7 , , , 39713 7137 8 and and CC 39713 7137 9 in in IN 39713 7137 10 fact fact NN 39713 7137 11 , , , 39713 7137 12 so so RB 39713 7137 13 one one PRP 39713 7137 14 has have VBZ 39713 7137 15 . . . 39713 7138 1 The the DT 39713 7138 2 velocity velocity NN 39713 7138 3 of of IN 39713 7138 4 light light NN 39713 7138 5 is be VBZ 39713 7138 6 not not RB 39713 7138 7 the the DT 39713 7138 8 same same JJ 39713 7138 9 in in IN 39713 7138 10 water water NN 39713 7138 11 as as IN 39713 7138 12 in in IN 39713 7138 13 air air NN 39713 7138 14 ; ; : 39713 7138 15 could could MD 39713 7138 16 we -PRON- PRP 39713 7138 17 not not RB 39713 7138 18 compare compare VB 39713 7138 19 the the DT 39713 7138 20 two two CD 39713 7138 21 apparent apparent JJ 39713 7138 22 positions position NNS 39713 7138 23 of of IN 39713 7138 24 a a DT 39713 7138 25 star star NN 39713 7138 26 seen see VBN 39713 7138 27 through through IN 39713 7138 28 a a DT 39713 7138 29 telescope telescope NN 39713 7138 30 first first RB 39713 7138 31 full full JJ 39713 7138 32 of of IN 39713 7138 33 air air NN 39713 7138 34 , , , 39713 7138 35 then then RB 39713 7138 36 full full JJ 39713 7138 37 of of IN 39713 7138 38 water water NN 39713 7138 39 ? ? . 39713 7139 1 The the DT 39713 7139 2 results result NNS 39713 7139 3 have have VBP 39713 7139 4 been be VBN 39713 7139 5 negative negative JJ 39713 7139 6 ; ; : 39713 7139 7 the the DT 39713 7139 8 apparent apparent JJ 39713 7139 9 laws law NNS 39713 7139 10 of of IN 39713 7139 11 reflection reflection NN 39713 7139 12 and and CC 39713 7139 13 refraction refraction NN 39713 7139 14 are be VBP 39713 7139 15 not not RB 39713 7139 16 altered alter VBN 39713 7139 17 by by IN 39713 7139 18 the the DT 39713 7139 19 motion motion NN 39713 7139 20 of of IN 39713 7139 21 the the DT 39713 7139 22 earth earth NN 39713 7139 23 . . . 39713 7140 1 This this DT 39713 7140 2 phenomenon phenomenon NN 39713 7140 3 is be VBZ 39713 7140 4 capable capable JJ 39713 7140 5 of of IN 39713 7140 6 two two CD 39713 7140 7 explanations explanation NNS 39713 7140 8 : : : 39713 7140 9 1º 1º NNS 39713 7140 10 It -PRON- PRP 39713 7140 11 might may MD 39713 7140 12 be be VB 39713 7140 13 supposed suppose VBN 39713 7140 14 that that IN 39713 7140 15 the the DT 39713 7140 16 ether ether NN 39713 7140 17 is be VBZ 39713 7140 18 not not RB 39713 7140 19 at at IN 39713 7140 20 rest rest NN 39713 7140 21 , , , 39713 7140 22 but but CC 39713 7140 23 that that IN 39713 7140 24 it -PRON- PRP 39713 7140 25 is be VBZ 39713 7140 26 carried carry VBN 39713 7140 27 along along RP 39713 7140 28 by by IN 39713 7140 29 the the DT 39713 7140 30 body body NN 39713 7140 31 in in IN 39713 7140 32 motion motion NN 39713 7140 33 . . . 39713 7141 1 It -PRON- PRP 39713 7141 2 would would MD 39713 7141 3 then then RB 39713 7141 4 not not RB 39713 7141 5 be be VB 39713 7141 6 astonishing astonish VBG 39713 7141 7 that that IN 39713 7141 8 the the DT 39713 7141 9 phenomena phenomenon NNS 39713 7141 10 of of IN 39713 7141 11 refraction refraction NN 39713 7141 12 are be VBP 39713 7141 13 not not RB 39713 7141 14 altered alter VBN 39713 7141 15 by by IN 39713 7141 16 the the DT 39713 7141 17 motion motion NN 39713 7141 18 of of IN 39713 7141 19 the the DT 39713 7141 20 earth earth NN 39713 7141 21 , , , 39713 7141 22 since since IN 39713 7141 23 all all RB 39713 7141 24 , , , 39713 7141 25 prisms prism NNS 39713 7141 26 , , , 39713 7141 27 telescopes telescope NNS 39713 7141 28 and and CC 39713 7141 29 ether ether NN 39713 7141 30 , , , 39713 7141 31 are be VBP 39713 7141 32 carried carry VBN 39713 7141 33 along along RB 39713 7141 34 together together RB 39713 7141 35 in in IN 39713 7141 36 the the DT 39713 7141 37 same same JJ 39713 7141 38 translation translation NN 39713 7141 39 . . . 39713 7142 1 As as IN 39713 7142 2 to to IN 39713 7142 3 the the DT 39713 7142 4 aberration aberration NN 39713 7142 5 itself -PRON- PRP 39713 7142 6 , , , 39713 7142 7 it -PRON- PRP 39713 7142 8 would would MD 39713 7142 9 be be VB 39713 7142 10 explained explain VBN 39713 7142 11 by by IN 39713 7142 12 a a DT 39713 7142 13 sort sort NN 39713 7142 14 of of IN 39713 7142 15 refraction refraction NN 39713 7142 16 happening happen VBG 39713 7142 17 at at IN 39713 7142 18 the the DT 39713 7142 19 surface surface NN 39713 7142 20 of of IN 39713 7142 21 separation separation NN 39713 7142 22 of of IN 39713 7142 23 the the DT 39713 7142 24 ether ether NN 39713 7142 25 at at IN 39713 7142 26 rest rest NN 39713 7142 27 in in IN 39713 7142 28 the the DT 39713 7142 29 interstellar interstellar JJ 39713 7142 30 spaces space NNS 39713 7142 31 and and CC 39713 7142 32 the the DT 39713 7142 33 ether ether NN 39713 7142 34 carried carry VBN 39713 7142 35 along along RP 39713 7142 36 by by IN 39713 7142 37 the the DT 39713 7142 38 motion motion NN 39713 7142 39 of of IN 39713 7142 40 the the DT 39713 7142 41 earth earth NN 39713 7142 42 . . . 39713 7143 1 It -PRON- PRP 39713 7143 2 is be VBZ 39713 7143 3 upon upon IN 39713 7143 4 this this DT 39713 7143 5 hypothesis hypothesis NN 39713 7143 6 ( ( -LRB- 39713 7143 7 bodily bodily RB 39713 7143 8 carrying carry VBG 39713 7143 9 along along IN 39713 7143 10 of of IN 39713 7143 11 the the DT 39713 7143 12 ether ether NN 39713 7143 13 ) ) -RRB- 39713 7143 14 that that WDT 39713 7143 15 is be VBZ 39713 7143 16 founded found VBN 39713 7143 17 the the DT 39713 7143 18 _ _ NNP 39713 7143 19 theory theory NN 39713 7143 20 of of IN 39713 7143 21 Hertz Hertz NNP 39713 7143 22 _ _ NNP 39713 7143 23 on on IN 39713 7143 24 the the DT 39713 7143 25 electrodynamics electrodynamic NNS 39713 7143 26 of of IN 39713 7143 27 moving move VBG 39713 7143 28 bodies body NNS 39713 7143 29 . . . 39713 7144 1 2º 2º NNP 39713 7144 2 Fresnel Fresnel NNP 39713 7144 3 , , , 39713 7144 4 on on IN 39713 7144 5 the the DT 39713 7144 6 contrary contrary NN 39713 7144 7 , , , 39713 7144 8 supposes suppose VBZ 39713 7144 9 that that IN 39713 7144 10 the the DT 39713 7144 11 ether ether NN 39713 7144 12 is be VBZ 39713 7144 13 at at IN 39713 7144 14 absolute absolute JJ 39713 7144 15 rest rest NN 39713 7144 16 in in IN 39713 7144 17 the the DT 39713 7144 18 void void NN 39713 7144 19 , , , 39713 7144 20 at at IN 39713 7144 21 rest rest NN 39713 7144 22 almost almost RB 39713 7144 23 absolute absolute JJ 39713 7144 24 in in IN 39713 7144 25 the the DT 39713 7144 26 air air NN 39713 7144 27 , , , 39713 7144 28 whatever whatever WDT 39713 7144 29 be be VBP 39713 7144 30 the the DT 39713 7144 31 velocity velocity NN 39713 7144 32 of of IN 39713 7144 33 this this DT 39713 7144 34 air air NN 39713 7144 35 , , , 39713 7144 36 and and CC 39713 7144 37 that that IN 39713 7144 38 it -PRON- PRP 39713 7144 39 is be VBZ 39713 7144 40 partially partially RB 39713 7144 41 carried carry VBN 39713 7144 42 along along RP 39713 7144 43 by by IN 39713 7144 44 refractive refractive JJ 39713 7144 45 media medium NNS 39713 7144 46 . . . 39713 7145 1 Lorentz Lorentz NNP 39713 7145 2 has have VBZ 39713 7145 3 given give VBN 39713 7145 4 to to IN 39713 7145 5 this this DT 39713 7145 6 theory theory NN 39713 7145 7 a a DT 39713 7145 8 more more RBR 39713 7145 9 satisfactory satisfactory JJ 39713 7145 10 form form NN 39713 7145 11 . . . 39713 7146 1 For for IN 39713 7146 2 him -PRON- PRP 39713 7146 3 , , , 39713 7146 4 the the DT 39713 7146 5 ether ether NN 39713 7146 6 is be VBZ 39713 7146 7 at at IN 39713 7146 8 rest rest NN 39713 7146 9 , , , 39713 7146 10 only only RB 39713 7146 11 the the DT 39713 7146 12 electrons electron NNS 39713 7146 13 are be VBP 39713 7146 14 in in IN 39713 7146 15 motion motion NN 39713 7146 16 ; ; : 39713 7146 17 in in IN 39713 7146 18 the the DT 39713 7146 19 void void NN 39713 7146 20 , , , 39713 7146 21 where where WRB 39713 7146 22 it -PRON- PRP 39713 7146 23 is be VBZ 39713 7146 24 only only RB 39713 7146 25 a a DT 39713 7146 26 question question NN 39713 7146 27 of of IN 39713 7146 28 the the DT 39713 7146 29 ether ether NN 39713 7146 30 , , , 39713 7146 31 in in IN 39713 7146 32 the the DT 39713 7146 33 air air NN 39713 7146 34 , , , 39713 7146 35 where where WRB 39713 7146 36 this this DT 39713 7146 37 is be VBZ 39713 7146 38 almost almost RB 39713 7146 39 the the DT 39713 7146 40 case case NN 39713 7146 41 , , , 39713 7146 42 the the DT 39713 7146 43 carrying carrying NN 39713 7146 44 along along RB 39713 7146 45 is be VBZ 39713 7146 46 null null JJ 39713 7146 47 or or CC 39713 7146 48 almost almost RB 39713 7146 49 null null JJ 39713 7146 50 ; ; : 39713 7146 51 in in IN 39713 7146 52 refractive refractive JJ 39713 7146 53 media medium NNS 39713 7146 54 , , , 39713 7146 55 where where WRB 39713 7146 56 perturbation perturbation NN 39713 7146 57 is be VBZ 39713 7146 58 produced produce VBN 39713 7146 59 at at IN 39713 7146 60 the the DT 39713 7146 61 same same JJ 39713 7146 62 time time NN 39713 7146 63 by by IN 39713 7146 64 vibrations vibration NNS 39713 7146 65 of of IN 39713 7146 66 the the DT 39713 7146 67 ether ether NN 39713 7146 68 and and CC 39713 7146 69 those those DT 39713 7146 70 of of IN 39713 7146 71 electrons electron NNS 39713 7146 72 put put VBP 39713 7146 73 in in RP 39713 7146 74 swing swing NN 39713 7146 75 by by IN 39713 7146 76 the the DT 39713 7146 77 agitation agitation NN 39713 7146 78 of of IN 39713 7146 79 the the DT 39713 7146 80 ether ether NN 39713 7146 81 , , , 39713 7146 82 the the DT 39713 7146 83 undulations undulation NNS 39713 7146 84 are be VBP 39713 7146 85 _ _ NNP 39713 7146 86 partially partially RB 39713 7146 87 _ _ NNP 39713 7146 88 carried carry VBD 39713 7146 89 along along RB 39713 7146 90 . . . 39713 7147 1 To to TO 39713 7147 2 decide decide VB 39713 7147 3 between between IN 39713 7147 4 the the DT 39713 7147 5 two two CD 39713 7147 6 hypotheses hypothesis NNS 39713 7147 7 , , , 39713 7147 8 we -PRON- PRP 39713 7147 9 have have VBP 39713 7147 10 Fizeau Fizeau NNP 39713 7147 11 's 's POS 39713 7147 12 experiment experiment NN 39713 7147 13 , , , 39713 7147 14 comparing compare VBG 39713 7147 15 by by IN 39713 7147 16 measurements measurement NNS 39713 7147 17 of of IN 39713 7147 18 the the DT 39713 7147 19 fringes fringe NNS 39713 7147 20 of of IN 39713 7147 21 interference interference NN 39713 7147 22 , , , 39713 7147 23 the the DT 39713 7147 24 velocity velocity NN 39713 7147 25 of of IN 39713 7147 26 light light NN 39713 7147 27 in in IN 39713 7147 28 air air NN 39713 7147 29 at at IN 39713 7147 30 rest rest NN 39713 7147 31 or or CC 39713 7147 32 in in IN 39713 7147 33 motion motion NN 39713 7147 34 . . . 39713 7148 1 These these DT 39713 7148 2 experiments experiment NNS 39713 7148 3 have have VBP 39713 7148 4 confirmed confirm VBN 39713 7148 5 Fresnel Fresnel NNP 39713 7148 6 's 's POS 39713 7148 7 hypothesis hypothesis NN 39713 7148 8 of of IN 39713 7148 9 partial partial JJ 39713 7148 10 carrying carrying NN 39713 7148 11 along along RB 39713 7148 12 . . . 39713 7149 1 They -PRON- PRP 39713 7149 2 have have VBP 39713 7149 3 been be VBN 39713 7149 4 repeated repeat VBN 39713 7149 5 with with IN 39713 7149 6 the the DT 39713 7149 7 same same JJ 39713 7149 8 result result NN 39713 7149 9 by by IN 39713 7149 10 Michelson Michelson NNP 39713 7149 11 . . . 39713 7150 1 _ _ NNP 39713 7150 2 The the DT 39713 7150 3 theory theory NN 39713 7150 4 of of IN 39713 7150 5 Hertz Hertz NNP 39713 7150 6 must must MD 39713 7150 7 therefore therefore RB 39713 7150 8 be be VB 39713 7150 9 rejected reject VBN 39713 7150 10 . . . 39713 7150 11 _ _ NNP 39713 7150 12 II II NNP 39713 7150 13 _ _ NNP 39713 7150 14 The the DT 39713 7150 15 Principle Principle NNP 39713 7150 16 of of IN 39713 7150 17 Relativity Relativity NNP 39713 7150 18 _ _ NNP 39713 7150 19 But but CC 39713 7150 20 if if IN 39713 7150 21 the the DT 39713 7150 22 ether ether NN 39713 7150 23 is be VBZ 39713 7150 24 not not RB 39713 7150 25 carried carry VBN 39713 7150 26 along along RP 39713 7150 27 by by IN 39713 7150 28 the the DT 39713 7150 29 motion motion NN 39713 7150 30 of of IN 39713 7150 31 the the DT 39713 7150 32 earth earth NN 39713 7150 33 , , , 39713 7150 34 is be VBZ 39713 7150 35 it -PRON- PRP 39713 7150 36 possible possible JJ 39713 7150 37 to to TO 39713 7150 38 show show VB 39713 7150 39 , , , 39713 7150 40 by by IN 39713 7150 41 means mean NNS 39713 7150 42 of of IN 39713 7150 43 optical optical JJ 39713 7150 44 phenomena phenomenon NNS 39713 7150 45 , , , 39713 7150 46 the the DT 39713 7150 47 absolute absolute JJ 39713 7150 48 velocity velocity NN 39713 7150 49 of of IN 39713 7150 50 the the DT 39713 7150 51 earth earth NN 39713 7150 52 , , , 39713 7150 53 or or CC 39713 7150 54 rather rather RB 39713 7150 55 its -PRON- PRP$ 39713 7150 56 velocity velocity NN 39713 7150 57 with with IN 39713 7150 58 respect respect NN 39713 7150 59 to to IN 39713 7150 60 the the DT 39713 7150 61 unmoving unmoving JJ 39713 7150 62 ether ether NN 39713 7150 63 ? ? . 39713 7151 1 Experiment experiment NN 39713 7151 2 has have VBZ 39713 7151 3 answered answer VBN 39713 7151 4 negatively negatively RB 39713 7151 5 , , , 39713 7151 6 and and CC 39713 7151 7 yet yet RB 39713 7151 8 the the DT 39713 7151 9 experimental experimental JJ 39713 7151 10 procedures procedure NNS 39713 7151 11 have have VBP 39713 7151 12 been be VBN 39713 7151 13 varied vary VBN 39713 7151 14 in in IN 39713 7151 15 all all DT 39713 7151 16 possible possible JJ 39713 7151 17 ways way NNS 39713 7151 18 . . . 39713 7152 1 Whatever whatever WDT 39713 7152 2 be be VB 39713 7152 3 the the DT 39713 7152 4 means mean NNS 39713 7152 5 employed employ VBN 39713 7152 6 there there EX 39713 7152 7 will will MD 39713 7152 8 never never RB 39713 7152 9 be be VB 39713 7152 10 disclosed disclose VBN 39713 7152 11 anything anything NN 39713 7152 12 but but IN 39713 7152 13 relative relative JJ 39713 7152 14 velocities velocity NNS 39713 7152 15 ; ; : 39713 7152 16 I -PRON- PRP 39713 7152 17 mean mean VBP 39713 7152 18 the the DT 39713 7152 19 velocities velocity NNS 39713 7152 20 of of IN 39713 7152 21 certain certain JJ 39713 7152 22 material material JJ 39713 7152 23 bodies body NNS 39713 7152 24 with with IN 39713 7152 25 reference reference NN 39713 7152 26 to to IN 39713 7152 27 other other JJ 39713 7152 28 material material NN 39713 7152 29 bodies body NNS 39713 7152 30 . . . 39713 7153 1 In in IN 39713 7153 2 fact fact NN 39713 7153 3 , , , 39713 7153 4 if if IN 39713 7153 5 the the DT 39713 7153 6 source source NN 39713 7153 7 of of IN 39713 7153 8 light light NN 39713 7153 9 and and CC 39713 7153 10 the the DT 39713 7153 11 apparatus apparatus NN 39713 7153 12 of of IN 39713 7153 13 observation observation NN 39713 7153 14 are be VBP 39713 7153 15 on on IN 39713 7153 16 the the DT 39713 7153 17 earth earth NN 39713 7153 18 and and CC 39713 7153 19 participate participate VB 39713 7153 20 in in IN 39713 7153 21 its -PRON- PRP$ 39713 7153 22 motion motion NN 39713 7153 23 , , , 39713 7153 24 the the DT 39713 7153 25 experimental experimental JJ 39713 7153 26 results result NNS 39713 7153 27 have have VBP 39713 7153 28 always always RB 39713 7153 29 been be VBN 39713 7153 30 the the DT 39713 7153 31 same same JJ 39713 7153 32 , , , 39713 7153 33 whatever whatever WDT 39713 7153 34 be be VB 39713 7153 35 the the DT 39713 7153 36 orientation orientation NN 39713 7153 37 of of IN 39713 7153 38 the the DT 39713 7153 39 apparatus apparatus NN 39713 7153 40 with with IN 39713 7153 41 reference reference NN 39713 7153 42 to to IN 39713 7153 43 the the DT 39713 7153 44 orbital orbital JJ 39713 7153 45 motion motion NN 39713 7153 46 of of IN 39713 7153 47 the the DT 39713 7153 48 earth earth NN 39713 7153 49 . . . 39713 7154 1 If if IN 39713 7154 2 astronomic astronomic JJ 39713 7154 3 aberration aberration NN 39713 7154 4 happens happen VBZ 39713 7154 5 , , , 39713 7154 6 it -PRON- PRP 39713 7154 7 is be VBZ 39713 7154 8 because because IN 39713 7154 9 the the DT 39713 7154 10 source source NN 39713 7154 11 , , , 39713 7154 12 a a DT 39713 7154 13 star star NN 39713 7154 14 , , , 39713 7154 15 is be VBZ 39713 7154 16 in in IN 39713 7154 17 motion motion NN 39713 7154 18 with with IN 39713 7154 19 reference reference NN 39713 7154 20 to to IN 39713 7154 21 the the DT 39713 7154 22 observer observer NN 39713 7154 23 . . . 39713 7155 1 The the DT 39713 7155 2 hypotheses hypothesis NNS 39713 7155 3 so so RB 39713 7155 4 far far RB 39713 7155 5 made make VBN 39713 7155 6 perfectly perfectly RB 39713 7155 7 account account NN 39713 7155 8 for for IN 39713 7155 9 this this DT 39713 7155 10 general general JJ 39713 7155 11 result result NN 39713 7155 12 , , , 39713 7155 13 _ _ NNP 39713 7155 14 if if IN 39713 7155 15 we -PRON- PRP 39713 7155 16 neglect neglect VBP 39713 7155 17 very very RB 39713 7155 18 small small JJ 39713 7155 19 quantities quantity NNS 39713 7155 20 of of IN 39713 7155 21 the the DT 39713 7155 22 order order NN 39713 7155 23 of of IN 39713 7155 24 the the DT 39713 7155 25 square square NN 39713 7155 26 of of IN 39713 7155 27 the the DT 39713 7155 28 aberration aberration NN 39713 7155 29 _ _ NNP 39713 7155 30 . . . 39713 7156 1 The the DT 39713 7156 2 explanation explanation NN 39713 7156 3 rests rest VBZ 39713 7156 4 upon upon IN 39713 7156 5 the the DT 39713 7156 6 notion notion NN 39713 7156 7 of of IN 39713 7156 8 _ _ NNP 39713 7156 9 local local JJ 39713 7156 10 time time NN 39713 7156 11 _ _ NNP 39713 7156 12 , , , 39713 7156 13 introduced introduce VBN 39713 7156 14 by by IN 39713 7156 15 Lorentz Lorentz NNP 39713 7156 16 , , , 39713 7156 17 which which WDT 39713 7156 18 I -PRON- PRP 39713 7156 19 shall shall MD 39713 7156 20 try try VB 39713 7156 21 to to TO 39713 7156 22 make make VB 39713 7156 23 clear clear JJ 39713 7156 24 . . . 39713 7157 1 Suppose suppose VB 39713 7157 2 two two CD 39713 7157 3 observers observer NNS 39713 7157 4 , , , 39713 7157 5 placed place VBD 39713 7157 6 one one CD 39713 7157 7 at at IN 39713 7157 8 _ _ NNP 39713 7157 9 A A NNP 39713 7157 10 _ _ NNP 39713 7157 11 , , , 39713 7157 12 the the DT 39713 7157 13 other other JJ 39713 7157 14 at at IN 39713 7157 15 _ _ NNP 39713 7157 16 B B NNP 39713 7157 17 _ _ NNP 39713 7157 18 , , , 39713 7157 19 and and CC 39713 7157 20 wishing wish VBG 39713 7157 21 to to TO 39713 7157 22 set set VB 39713 7157 23 their -PRON- PRP$ 39713 7157 24 watches watch NNS 39713 7157 25 by by IN 39713 7157 26 means mean NNS 39713 7157 27 of of IN 39713 7157 28 optical optical JJ 39713 7157 29 signals signal NNS 39713 7157 30 . . . 39713 7158 1 They -PRON- PRP 39713 7158 2 agree agree VBP 39713 7158 3 that that IN 39713 7158 4 _ _ NNP 39713 7158 5 B B NNP 39713 7158 6 _ _ NNP 39713 7158 7 shall shall MD 39713 7158 8 send send VB 39713 7158 9 a a DT 39713 7158 10 signal signal NN 39713 7158 11 to to IN 39713 7158 12 _ _ NNP 39713 7158 13 A A NNP 39713 7158 14 _ _ NNP 39713 7158 15 when when WRB 39713 7158 16 his -PRON- PRP$ 39713 7158 17 watch watch NN 39713 7158 18 marks mark VBZ 39713 7158 19 an an DT 39713 7158 20 hour hour NN 39713 7158 21 determined determine VBN 39713 7158 22 upon upon IN 39713 7158 23 , , , 39713 7158 24 and and CC 39713 7158 25 _ _ NNP 39713 7158 26 A A NNP 39713 7158 27 _ _ NNP 39713 7158 28 is be VBZ 39713 7158 29 to to TO 39713 7158 30 put put VB 39713 7158 31 his -PRON- PRP$ 39713 7158 32 watch watch NN 39713 7158 33 to to IN 39713 7158 34 that that DT 39713 7158 35 hour hour NN 39713 7158 36 the the DT 39713 7158 37 moment moment NN 39713 7158 38 he -PRON- PRP 39713 7158 39 sees see VBZ 39713 7158 40 the the DT 39713 7158 41 signal signal NN 39713 7158 42 . . . 39713 7159 1 If if IN 39713 7159 2 this this DT 39713 7159 3 alone alone RB 39713 7159 4 were be VBD 39713 7159 5 done do VBN 39713 7159 6 , , , 39713 7159 7 there there EX 39713 7159 8 would would MD 39713 7159 9 be be VB 39713 7159 10 a a DT 39713 7159 11 systematic systematic JJ 39713 7159 12 error error NN 39713 7159 13 , , , 39713 7159 14 because because IN 39713 7159 15 as as IN 39713 7159 16 the the DT 39713 7159 17 light light NN 39713 7159 18 takes take VBZ 39713 7159 19 a a DT 39713 7159 20 certain certain JJ 39713 7159 21 time time NN 39713 7159 22 _ _ NNP 39713 7159 23 t t NNP 39713 7159 24 _ _ NNP 39713 7159 25 to to TO 39713 7159 26 go go VB 39713 7159 27 from from IN 39713 7159 28 _ _ NNP 39713 7159 29 B B NNP 39713 7159 30 _ _ NNP 39713 7159 31 to to IN 39713 7159 32 _ _ NNP 39713 7159 33 A A NNP 39713 7159 34 _ _ NNP 39713 7159 35 , , , 39713 7159 36 _ _ NNP 39713 7159 37 A A NNP 39713 7159 38 _ _ NNP 39713 7159 39 's 's POS 39713 7159 40 watch watch NN 39713 7159 41 would would MD 39713 7159 42 be be VB 39713 7159 43 behind behind IN 39713 7159 44 _ _ NNP 39713 7159 45 B B NNP 39713 7159 46 _ _ NNP 39713 7159 47 's be VBZ 39713 7159 48 the the DT 39713 7159 49 time time NN 39713 7159 50 _ _ NNP 39713 7159 51 t t NNP 39713 7159 52 _ _ NNP 39713 7159 53 . . . 39713 7160 1 This this DT 39713 7160 2 error error NN 39713 7160 3 is be VBZ 39713 7160 4 easily easily RB 39713 7160 5 corrected correct VBN 39713 7160 6 . . . 39713 7161 1 It -PRON- PRP 39713 7161 2 suffices suffice VBZ 39713 7161 3 to to TO 39713 7161 4 cross cross VB 39713 7161 5 the the DT 39713 7161 6 signals signal NNS 39713 7161 7 . . . 39713 7162 1 _ _ NNP 39713 7162 2 A a DT 39713 7162 3 _ _ NNP 39713 7162 4 in in IN 39713 7162 5 turn turn NN 39713 7162 6 must must MD 39713 7162 7 signal signal VB 39713 7162 8 _ _ NNP 39713 7162 9 B B NNP 39713 7162 10 _ _ NNP 39713 7162 11 , , , 39713 7162 12 and and CC 39713 7162 13 , , , 39713 7162 14 after after IN 39713 7162 15 this this DT 39713 7162 16 new new JJ 39713 7162 17 adjustment adjustment NN 39713 7162 18 , , , 39713 7162 19 _ _ NNP 39713 7162 20 B B NNP 39713 7162 21 _ _ NNP 39713 7162 22 's 's POS 39713 7162 23 watch watch NN 39713 7162 24 will will MD 39713 7162 25 be be VB 39713 7162 26 behind behind IN 39713 7162 27 _ _ NNP 39713 7162 28 A A NNP 39713 7162 29 _ _ NNP 39713 7162 30 's be VBZ 39713 7162 31 the the DT 39713 7162 32 time time NN 39713 7162 33 _ _ NNP 39713 7162 34 t t NNP 39713 7162 35 _ _ NNP 39713 7162 36 . . . 39713 7163 1 Then then RB 39713 7163 2 it -PRON- PRP 39713 7163 3 will will MD 39713 7163 4 be be VB 39713 7163 5 sufficient sufficient JJ 39713 7163 6 to to TO 39713 7163 7 take take VB 39713 7163 8 the the DT 39713 7163 9 arithmetic arithmetic JJ 39713 7163 10 mean mean NN 39713 7163 11 of of IN 39713 7163 12 the the DT 39713 7163 13 two two CD 39713 7163 14 adjustments adjustment NNS 39713 7163 15 . . . 39713 7164 1 But but CC 39713 7164 2 this this DT 39713 7164 3 way way NN 39713 7164 4 of of IN 39713 7164 5 doing do VBG 39713 7164 6 supposes suppose NNS 39713 7164 7 that that WDT 39713 7164 8 light light NN 39713 7164 9 takes take VBZ 39713 7164 10 the the DT 39713 7164 11 same same JJ 39713 7164 12 time time NN 39713 7164 13 to to TO 39713 7164 14 go go VB 39713 7164 15 from from IN 39713 7164 16 _ _ NNP 39713 7164 17 A A NNP 39713 7164 18 _ _ NNP 39713 7164 19 to to IN 39713 7164 20 _ _ NNP 39713 7164 21 B B NNP 39713 7164 22 _ _ NNP 39713 7164 23 as as IN 39713 7164 24 to to TO 39713 7164 25 return return VB 39713 7164 26 from from IN 39713 7164 27 _ _ NNP 39713 7164 28 B B NNP 39713 7164 29 _ _ NNP 39713 7164 30 to to IN 39713 7164 31 _ _ NNP 39713 7164 32 A A NNP 39713 7164 33 _ _ NNP 39713 7164 34 . . . 39713 7165 1 That that DT 39713 7165 2 is be VBZ 39713 7165 3 true true JJ 39713 7165 4 if if IN 39713 7165 5 the the DT 39713 7165 6 observers observer NNS 39713 7165 7 are be VBP 39713 7165 8 motionless motionless JJ 39713 7165 9 ; ; : 39713 7165 10 it -PRON- PRP 39713 7165 11 is be VBZ 39713 7165 12 no no RB 39713 7165 13 longer long RBR 39713 7165 14 so so RB 39713 7165 15 if if IN 39713 7165 16 they -PRON- PRP 39713 7165 17 are be VBP 39713 7165 18 carried carry VBN 39713 7165 19 along along RB 39713 7165 20 in in IN 39713 7165 21 a a DT 39713 7165 22 common common JJ 39713 7165 23 translation translation NN 39713 7165 24 , , , 39713 7165 25 since since IN 39713 7165 26 then then RB 39713 7165 27 _ _ NNP 39713 7165 28 A A NNP 39713 7165 29 _ _ NNP 39713 7165 30 , , , 39713 7165 31 for for IN 39713 7165 32 example example NN 39713 7165 33 , , , 39713 7165 34 will will MD 39713 7165 35 go go VB 39713 7165 36 to to TO 39713 7165 37 meet meet VB 39713 7165 38 the the DT 39713 7165 39 light light NN 39713 7165 40 coming come VBG 39713 7165 41 from from IN 39713 7165 42 _ _ NNP 39713 7165 43 B B NNP 39713 7165 44 _ _ NNP 39713 7165 45 , , , 39713 7165 46 while while IN 39713 7165 47 _ _ NNP 39713 7165 48 B B NNP 39713 7165 49 _ _ NNP 39713 7165 50 will will MD 39713 7165 51 flee flee VB 39713 7165 52 before before IN 39713 7165 53 the the DT 39713 7165 54 light light NN 39713 7165 55 coming come VBG 39713 7165 56 from from IN 39713 7165 57 _ _ NNP 39713 7165 58 A A NNP 39713 7165 59 _ _ NNP 39713 7165 60 . . . 39713 7166 1 If if IN 39713 7166 2 therefore therefore RB 39713 7166 3 the the DT 39713 7166 4 observers observer NNS 39713 7166 5 are be VBP 39713 7166 6 borne bear VBN 39713 7166 7 along along IN 39713 7166 8 in in IN 39713 7166 9 a a DT 39713 7166 10 common common JJ 39713 7166 11 translation translation NN 39713 7166 12 and and CC 39713 7166 13 if if IN 39713 7166 14 they -PRON- PRP 39713 7166 15 do do VBP 39713 7166 16 not not RB 39713 7166 17 suspect suspect VB 39713 7166 18 it -PRON- PRP 39713 7166 19 , , , 39713 7166 20 their -PRON- PRP$ 39713 7166 21 adjustment adjustment NN 39713 7166 22 will will MD 39713 7166 23 be be VB 39713 7166 24 defective defective JJ 39713 7166 25 ; ; : 39713 7166 26 their -PRON- PRP$ 39713 7166 27 watches watch NNS 39713 7166 28 will will MD 39713 7166 29 not not RB 39713 7166 30 indicate indicate VB 39713 7166 31 the the DT 39713 7166 32 same same JJ 39713 7166 33 time time NN 39713 7166 34 ; ; : 39713 7166 35 each each DT 39713 7166 36 will will MD 39713 7166 37 show show VB 39713 7166 38 the the DT 39713 7166 39 _ _ NNP 39713 7166 40 local local JJ 39713 7166 41 time time NN 39713 7166 42 _ _ NNP 39713 7166 43 belonging belong VBG 39713 7166 44 to to IN 39713 7166 45 the the DT 39713 7166 46 point point NN 39713 7166 47 where where WRB 39713 7166 48 it -PRON- PRP 39713 7166 49 is be VBZ 39713 7166 50 . . . 39713 7167 1 The the DT 39713 7167 2 two two CD 39713 7167 3 observers observer NNS 39713 7167 4 will will MD 39713 7167 5 have have VB 39713 7167 6 no no DT 39713 7167 7 way way NN 39713 7167 8 of of IN 39713 7167 9 perceiving perceive VBG 39713 7167 10 this this DT 39713 7167 11 , , , 39713 7167 12 if if IN 39713 7167 13 the the DT 39713 7167 14 unmoving unmoving JJ 39713 7167 15 ether ether NN 39713 7167 16 can can MD 39713 7167 17 transmit transmit VB 39713 7167 18 to to IN 39713 7167 19 them -PRON- PRP 39713 7167 20 only only RB 39713 7167 21 luminous luminous JJ 39713 7167 22 signals signal NNS 39713 7167 23 all all DT 39713 7167 24 of of IN 39713 7167 25 the the DT 39713 7167 26 same same JJ 39713 7167 27 velocity velocity NN 39713 7167 28 , , , 39713 7167 29 and and CC 39713 7167 30 if if IN 39713 7167 31 the the DT 39713 7167 32 other other JJ 39713 7167 33 signals signal NNS 39713 7167 34 they -PRON- PRP 39713 7167 35 might may MD 39713 7167 36 send send VB 39713 7167 37 are be VBP 39713 7167 38 transmitted transmit VBN 39713 7167 39 by by IN 39713 7167 40 media medium NNS 39713 7167 41 carried carry VBN 39713 7167 42 along along RB 39713 7167 43 with with IN 39713 7167 44 them -PRON- PRP 39713 7167 45 in in IN 39713 7167 46 their -PRON- PRP$ 39713 7167 47 translation translation NN 39713 7167 48 . . . 39713 7168 1 The the DT 39713 7168 2 phenomenon phenomenon NN 39713 7168 3 each each DT 39713 7168 4 observes observe VBZ 39713 7168 5 will will MD 39713 7168 6 be be VB 39713 7168 7 too too RB 39713 7168 8 soon soon RB 39713 7168 9 or or CC 39713 7168 10 too too RB 39713 7168 11 late late RB 39713 7168 12 ; ; : 39713 7168 13 it -PRON- PRP 39713 7168 14 would would MD 39713 7168 15 be be VB 39713 7168 16 seen see VBN 39713 7168 17 at at IN 39713 7168 18 the the DT 39713 7168 19 same same JJ 39713 7168 20 instant instant NN 39713 7168 21 only only RB 39713 7168 22 if if IN 39713 7168 23 the the DT 39713 7168 24 translation translation NN 39713 7168 25 did do VBD 39713 7168 26 not not RB 39713 7168 27 exist exist VB 39713 7168 28 ; ; : 39713 7168 29 but but CC 39713 7168 30 as as IN 39713 7168 31 it -PRON- PRP 39713 7168 32 will will MD 39713 7168 33 be be VB 39713 7168 34 observed observe VBN 39713 7168 35 with with IN 39713 7168 36 a a DT 39713 7168 37 watch watch NN 39713 7168 38 that that WDT 39713 7168 39 is be VBZ 39713 7168 40 wrong wrong JJ 39713 7168 41 , , , 39713 7168 42 this this DT 39713 7168 43 will will MD 39713 7168 44 not not RB 39713 7168 45 be be VB 39713 7168 46 perceived perceive VBN 39713 7168 47 and and CC 39713 7168 48 the the DT 39713 7168 49 appearances appearance NNS 39713 7168 50 will will MD 39713 7168 51 not not RB 39713 7168 52 be be VB 39713 7168 53 altered alter VBN 39713 7168 54 . . . 39713 7169 1 It -PRON- PRP 39713 7169 2 results result VBZ 39713 7169 3 from from IN 39713 7169 4 this this DT 39713 7169 5 that that IN 39713 7169 6 the the DT 39713 7169 7 compensation compensation NN 39713 7169 8 is be VBZ 39713 7169 9 easy easy JJ 39713 7169 10 to to TO 39713 7169 11 explain explain VB 39713 7169 12 so so RB 39713 7169 13 long long RB 39713 7169 14 as as IN 39713 7169 15 we -PRON- PRP 39713 7169 16 neglect neglect VBP 39713 7169 17 the the DT 39713 7169 18 square square NN 39713 7169 19 of of IN 39713 7169 20 the the DT 39713 7169 21 aberration aberration NN 39713 7169 22 , , , 39713 7169 23 and and CC 39713 7169 24 for for IN 39713 7169 25 a a DT 39713 7169 26 long long JJ 39713 7169 27 time time NN 39713 7169 28 the the DT 39713 7169 29 experiments experiment NNS 39713 7169 30 were be VBD 39713 7169 31 not not RB 39713 7169 32 sufficiently sufficiently RB 39713 7169 33 precise precise JJ 39713 7169 34 to to TO 39713 7169 35 warrant warrant VB 39713 7169 36 taking take VBG 39713 7169 37 account account NN 39713 7169 38 of of IN 39713 7169 39 it -PRON- PRP 39713 7169 40 . . . 39713 7170 1 But but CC 39713 7170 2 the the DT 39713 7170 3 day day NN 39713 7170 4 came come VBD 39713 7170 5 when when WRB 39713 7170 6 Michelson Michelson NNP 39713 7170 7 imagined imagine VBD 39713 7170 8 a a DT 39713 7170 9 much much RB 39713 7170 10 more more RBR 39713 7170 11 delicate delicate JJ 39713 7170 12 procedure procedure NN 39713 7170 13 : : : 39713 7170 14 he -PRON- PRP 39713 7170 15 made make VBD 39713 7170 16 rays ray NNS 39713 7170 17 interfere interfere VB 39713 7170 18 which which WDT 39713 7170 19 had have VBD 39713 7170 20 traversed traverse VBN 39713 7170 21 different different JJ 39713 7170 22 courses course NNS 39713 7170 23 , , , 39713 7170 24 after after IN 39713 7170 25 being be VBG 39713 7170 26 reflected reflect VBN 39713 7170 27 by by IN 39713 7170 28 mirrors mirror NNS 39713 7170 29 ; ; : 39713 7170 30 each each DT 39713 7170 31 of of IN 39713 7170 32 the the DT 39713 7170 33 paths path NNS 39713 7170 34 approximating approximate VBG 39713 7170 35 a a DT 39713 7170 36 meter meter NN 39713 7170 37 and and CC 39713 7170 38 the the DT 39713 7170 39 fringes fringe NNS 39713 7170 40 of of IN 39713 7170 41 interference interference NN 39713 7170 42 permitting permit VBG 39713 7170 43 the the DT 39713 7170 44 recognition recognition NN 39713 7170 45 of of IN 39713 7170 46 a a DT 39713 7170 47 fraction fraction NN 39713 7170 48 of of IN 39713 7170 49 a a DT 39713 7170 50 thousandth thousandth NN 39713 7170 51 of of IN 39713 7170 52 a a DT 39713 7170 53 millimeter millimeter NN 39713 7170 54 , , , 39713 7170 55 the the DT 39713 7170 56 square square NN 39713 7170 57 of of IN 39713 7170 58 the the DT 39713 7170 59 aberration aberration NN 39713 7170 60 could could MD 39713 7170 61 no no RB 39713 7170 62 longer longer RB 39713 7170 63 be be VB 39713 7170 64 neglected neglect VBN 39713 7170 65 , , , 39713 7170 66 and and CC 39713 7170 67 _ _ NNP 39713 7170 68 yet yet RB 39713 7170 69 the the DT 39713 7170 70 results result NNS 39713 7170 71 were be VBD 39713 7170 72 still still RB 39713 7170 73 negative negative JJ 39713 7170 74 _ _ NNP 39713 7170 75 . . . 39713 7171 1 Therefore therefore RB 39713 7171 2 the the DT 39713 7171 3 theory theory NN 39713 7171 4 required require VBN 39713 7171 5 to to TO 39713 7171 6 be be VB 39713 7171 7 completed complete VBN 39713 7171 8 , , , 39713 7171 9 and and CC 39713 7171 10 it -PRON- PRP 39713 7171 11 has have VBZ 39713 7171 12 been be VBN 39713 7171 13 by by IN 39713 7171 14 the the DT 39713 7171 15 _ _ NNP 39713 7171 16 Lorentz Lorentz NNP 39713 7171 17 - - HYPH 39713 7171 18 Fitzgerald Fitzgerald NNP 39713 7171 19 hypothesis hypothesis NN 39713 7171 20 _ _ NNP 39713 7171 21 . . . 39713 7172 1 These these DT 39713 7172 2 two two CD 39713 7172 3 physicists physicist NNS 39713 7172 4 suppose suppose VBP 39713 7172 5 that that IN 39713 7172 6 all all DT 39713 7172 7 bodies body NNS 39713 7172 8 carried carry VBN 39713 7172 9 along along RB 39713 7172 10 in in IN 39713 7172 11 a a DT 39713 7172 12 translation translation NN 39713 7172 13 undergo undergo VBP 39713 7172 14 a a DT 39713 7172 15 contraction contraction NN 39713 7172 16 in in IN 39713 7172 17 the the DT 39713 7172 18 sense sense NN 39713 7172 19 of of IN 39713 7172 20 this this DT 39713 7172 21 translation translation NN 39713 7172 22 , , , 39713 7172 23 while while IN 39713 7172 24 their -PRON- PRP$ 39713 7172 25 dimensions dimension NNS 39713 7172 26 perpendicular perpendicular VBP 39713 7172 27 to to IN 39713 7172 28 this this DT 39713 7172 29 translation translation NN 39713 7172 30 remain remain VBP 39713 7172 31 unchanged unchanged JJ 39713 7172 32 . . . 39713 7173 1 _ _ NNP 39713 7173 2 This this DT 39713 7173 3 contraction contraction NN 39713 7173 4 is be VBZ 39713 7173 5 the the DT 39713 7173 6 same same JJ 39713 7173 7 for for IN 39713 7173 8 all all DT 39713 7173 9 bodies body NNS 39713 7173 10 _ _ NNP 39713 7173 11 ; ; : 39713 7173 12 moreover moreover RB 39713 7173 13 , , , 39713 7173 14 it -PRON- PRP 39713 7173 15 is be VBZ 39713 7173 16 very very RB 39713 7173 17 slight slight JJ 39713 7173 18 , , , 39713 7173 19 about about RB 39713 7173 20 one one CD 39713 7173 21 two two CD 39713 7173 22 - - HYPH 39713 7173 23 hundred hundred CD 39713 7173 24 - - HYPH 39713 7173 25 millionth millionth NN 39713 7173 26 for for IN 39713 7173 27 a a DT 39713 7173 28 velocity velocity NN 39713 7173 29 such such JJ 39713 7173 30 as as IN 39713 7173 31 that that DT 39713 7173 32 of of IN 39713 7173 33 the the DT 39713 7173 34 earth earth NN 39713 7173 35 . . . 39713 7174 1 Furthermore furthermore RB 39713 7174 2 our -PRON- PRP$ 39713 7174 3 measuring measure VBG 39713 7174 4 instruments instrument NNS 39713 7174 5 could could MD 39713 7174 6 not not RB 39713 7174 7 disclose disclose VB 39713 7174 8 it -PRON- PRP 39713 7174 9 , , , 39713 7174 10 even even RB 39713 7174 11 if if IN 39713 7174 12 they -PRON- PRP 39713 7174 13 were be VBD 39713 7174 14 much much RB 39713 7174 15 more more RBR 39713 7174 16 precise precise JJ 39713 7174 17 ; ; : 39713 7174 18 our -PRON- PRP$ 39713 7174 19 measuring measure VBG 39713 7174 20 rods rod NNS 39713 7174 21 in in IN 39713 7174 22 fact fact NN 39713 7174 23 undergo undergo VB 39713 7174 24 the the DT 39713 7174 25 same same JJ 39713 7174 26 contraction contraction NN 39713 7174 27 as as IN 39713 7174 28 the the DT 39713 7174 29 objects object NNS 39713 7174 30 to to TO 39713 7174 31 be be VB 39713 7174 32 measured measure VBN 39713 7174 33 . . . 39713 7175 1 If if IN 39713 7175 2 the the DT 39713 7175 3 meter meter NN 39713 7175 4 exactly exactly RB 39713 7175 5 fits fit VBZ 39713 7175 6 when when WRB 39713 7175 7 applied apply VBN 39713 7175 8 to to IN 39713 7175 9 a a DT 39713 7175 10 body body NN 39713 7175 11 , , , 39713 7175 12 if if IN 39713 7175 13 we -PRON- PRP 39713 7175 14 point point VBP 39713 7175 15 the the DT 39713 7175 16 body body NN 39713 7175 17 and and CC 39713 7175 18 consequently consequently RB 39713 7175 19 the the DT 39713 7175 20 meter meter NN 39713 7175 21 in in IN 39713 7175 22 the the DT 39713 7175 23 sense sense NN 39713 7175 24 of of IN 39713 7175 25 the the DT 39713 7175 26 motion motion NN 39713 7175 27 of of IN 39713 7175 28 the the DT 39713 7175 29 earth earth NN 39713 7175 30 , , , 39713 7175 31 it -PRON- PRP 39713 7175 32 will will MD 39713 7175 33 not not RB 39713 7175 34 cease cease VB 39713 7175 35 to to TO 39713 7175 36 exactly exactly RB 39713 7175 37 fit fit VB 39713 7175 38 in in IN 39713 7175 39 another another DT 39713 7175 40 orientation orientation NN 39713 7175 41 , , , 39713 7175 42 and and CC 39713 7175 43 that that IN 39713 7175 44 although although IN 39713 7175 45 the the DT 39713 7175 46 body body NN 39713 7175 47 and and CC 39713 7175 48 the the DT 39713 7175 49 meter meter NN 39713 7175 50 have have VBP 39713 7175 51 changed change VBN 39713 7175 52 in in IN 39713 7175 53 length length NN 39713 7175 54 as as RB 39713 7175 55 well well RB 39713 7175 56 as as IN 39713 7175 57 orientation orientation NN 39713 7175 58 , , , 39713 7175 59 and and CC 39713 7175 60 precisely precisely RB 39713 7175 61 because because IN 39713 7175 62 the the DT 39713 7175 63 change change NN 39713 7175 64 is be VBZ 39713 7175 65 the the DT 39713 7175 66 same same JJ 39713 7175 67 for for IN 39713 7175 68 one one CD 39713 7175 69 as as IN 39713 7175 70 for for IN 39713 7175 71 the the DT 39713 7175 72 other other JJ 39713 7175 73 . . . 39713 7176 1 But but CC 39713 7176 2 it -PRON- PRP 39713 7176 3 is be VBZ 39713 7176 4 quite quite RB 39713 7176 5 different different JJ 39713 7176 6 if if IN 39713 7176 7 we -PRON- PRP 39713 7176 8 measure measure VBP 39713 7176 9 a a DT 39713 7176 10 length length NN 39713 7176 11 , , , 39713 7176 12 not not RB 39713 7176 13 now now RB 39713 7176 14 with with IN 39713 7176 15 a a DT 39713 7176 16 meter meter NN 39713 7176 17 , , , 39713 7176 18 but but CC 39713 7176 19 by by IN 39713 7176 20 the the DT 39713 7176 21 time time NN 39713 7176 22 taken take VBN 39713 7176 23 by by IN 39713 7176 24 light light NN 39713 7176 25 to to TO 39713 7176 26 pass pass VB 39713 7176 27 along along IN 39713 7176 28 it -PRON- PRP 39713 7176 29 , , , 39713 7176 30 and and CC 39713 7176 31 this this DT 39713 7176 32 is be VBZ 39713 7176 33 just just RB 39713 7176 34 what what WP 39713 7176 35 Michelson Michelson NNP 39713 7176 36 has have VBZ 39713 7176 37 done do VBN 39713 7176 38 . . . 39713 7177 1 A a DT 39713 7177 2 body body NN 39713 7177 3 , , , 39713 7177 4 spherical spherical JJ 39713 7177 5 when when WRB 39713 7177 6 at at IN 39713 7177 7 rest rest NN 39713 7177 8 , , , 39713 7177 9 will will MD 39713 7177 10 take take VB 39713 7177 11 thus thus RB 39713 7177 12 the the DT 39713 7177 13 form form NN 39713 7177 14 of of IN 39713 7177 15 a a DT 39713 7177 16 flattened flattened JJ 39713 7177 17 ellipsoid ellipsoid NN 39713 7177 18 of of IN 39713 7177 19 revolution revolution NN 39713 7177 20 when when WRB 39713 7177 21 in in IN 39713 7177 22 motion motion NN 39713 7177 23 ; ; : 39713 7177 24 but but CC 39713 7177 25 the the DT 39713 7177 26 observer observer NN 39713 7177 27 will will MD 39713 7177 28 always always RB 39713 7177 29 think think VB 39713 7177 30 it -PRON- PRP 39713 7177 31 spherical spherical JJ 39713 7177 32 , , , 39713 7177 33 since since IN 39713 7177 34 he -PRON- PRP 39713 7177 35 himself -PRON- PRP 39713 7177 36 has have VBZ 39713 7177 37 undergone undergo VBN 39713 7177 38 an an DT 39713 7177 39 analogous analogous JJ 39713 7177 40 deformation deformation NN 39713 7177 41 , , , 39713 7177 42 as as RB 39713 7177 43 also also RB 39713 7177 44 all all PDT 39713 7177 45 the the DT 39713 7177 46 objects object NNS 39713 7177 47 serving serve VBG 39713 7177 48 as as IN 39713 7177 49 points point NNS 39713 7177 50 of of IN 39713 7177 51 reference reference NN 39713 7177 52 . . . 39713 7178 1 On on IN 39713 7178 2 the the DT 39713 7178 3 contrary contrary NN 39713 7178 4 , , , 39713 7178 5 the the DT 39713 7178 6 surfaces surface NNS 39713 7178 7 of of IN 39713 7178 8 the the DT 39713 7178 9 waves wave NNS 39713 7178 10 of of IN 39713 7178 11 light light NN 39713 7178 12 , , , 39713 7178 13 remaining remain VBG 39713 7178 14 rigorously rigorously RB 39713 7178 15 spherical spherical JJ 39713 7178 16 , , , 39713 7178 17 will will MD 39713 7178 18 seem seem VB 39713 7178 19 to to IN 39713 7178 20 him -PRON- PRP 39713 7178 21 elongated elongate VBN 39713 7178 22 ellipsoids ellipsoid NNS 39713 7178 23 . . . 39713 7179 1 What what WP 39713 7179 2 happens happen VBZ 39713 7179 3 then then RB 39713 7179 4 ? ? . 39713 7180 1 Suppose suppose VB 39713 7180 2 an an DT 39713 7180 3 observer observer NN 39713 7180 4 and and CC 39713 7180 5 a a DT 39713 7180 6 source source NN 39713 7180 7 of of IN 39713 7180 8 light light NN 39713 7180 9 carried carry VBN 39713 7180 10 along along RB 39713 7180 11 together together RB 39713 7180 12 in in IN 39713 7180 13 the the DT 39713 7180 14 translation translation NN 39713 7180 15 : : : 39713 7180 16 the the DT 39713 7180 17 wave wave NN 39713 7180 18 surfaces surface VBZ 39713 7180 19 emanating emanate VBG 39713 7180 20 from from IN 39713 7180 21 the the DT 39713 7180 22 source source NN 39713 7180 23 will will MD 39713 7180 24 be be VB 39713 7180 25 spheres sphere NNS 39713 7180 26 having have VBG 39713 7180 27 as as IN 39713 7180 28 centers center NNS 39713 7180 29 the the DT 39713 7180 30 successive successive JJ 39713 7180 31 positions position NNS 39713 7180 32 of of IN 39713 7180 33 the the DT 39713 7180 34 source source NN 39713 7180 35 ; ; : 39713 7180 36 the the DT 39713 7180 37 distance distance NN 39713 7180 38 from from IN 39713 7180 39 this this DT 39713 7180 40 center center NN 39713 7180 41 to to IN 39713 7180 42 the the DT 39713 7180 43 actual actual JJ 39713 7180 44 position position NN 39713 7180 45 of of IN 39713 7180 46 the the DT 39713 7180 47 source source NN 39713 7180 48 will will MD 39713 7180 49 be be VB 39713 7180 50 proportional proportional JJ 39713 7180 51 to to IN 39713 7180 52 the the DT 39713 7180 53 time time NN 39713 7180 54 elapsed elapse VBD 39713 7180 55 after after IN 39713 7180 56 the the DT 39713 7180 57 emission emission NN 39713 7180 58 , , , 39713 7180 59 that that DT 39713 7180 60 is be VBZ 39713 7180 61 to to TO 39713 7180 62 say say VB 39713 7180 63 to to IN 39713 7180 64 the the DT 39713 7180 65 radius radius NN 39713 7180 66 of of IN 39713 7180 67 the the DT 39713 7180 68 sphere sphere NN 39713 7180 69 . . . 39713 7181 1 All all PDT 39713 7181 2 these these DT 39713 7181 3 spheres sphere NNS 39713 7181 4 are be VBP 39713 7181 5 therefore therefore RB 39713 7181 6 homothetic homothetic JJ 39713 7181 7 one one CD 39713 7181 8 to to IN 39713 7181 9 the the DT 39713 7181 10 other other JJ 39713 7181 11 , , , 39713 7181 12 with with IN 39713 7181 13 relation relation NN 39713 7181 14 to to IN 39713 7181 15 the the DT 39713 7181 16 actual actual JJ 39713 7181 17 position position NN 39713 7181 18 _ _ NNP 39713 7181 19 S S NNP 39713 7181 20 _ _ NNP 39713 7181 21 of of IN 39713 7181 22 the the DT 39713 7181 23 source source NN 39713 7181 24 . . . 39713 7182 1 But but CC 39713 7182 2 , , , 39713 7182 3 for for IN 39713 7182 4 our -PRON- PRP$ 39713 7182 5 observer observer NN 39713 7182 6 , , , 39713 7182 7 because because IN 39713 7182 8 of of IN 39713 7182 9 the the DT 39713 7182 10 contraction contraction NN 39713 7182 11 , , , 39713 7182 12 all all PDT 39713 7182 13 these these DT 39713 7182 14 spheres sphere NNS 39713 7182 15 will will MD 39713 7182 16 seem seem VB 39713 7182 17 elongated elongate VBN 39713 7182 18 ellipsoids ellipsoid NNS 39713 7182 19 , , , 39713 7182 20 and and CC 39713 7182 21 all all PDT 39713 7182 22 these these DT 39713 7182 23 ellipsoids ellipsoid NNS 39713 7182 24 will will MD 39713 7182 25 moreover moreover RB 39713 7182 26 be be VB 39713 7182 27 homothetic homothetic JJ 39713 7182 28 , , , 39713 7182 29 with with IN 39713 7182 30 reference reference NN 39713 7182 31 to to IN 39713 7182 32 the the DT 39713 7182 33 point point NN 39713 7182 34 _ _ NNP 39713 7182 35 S S NNP 39713 7182 36 _ _ NNP 39713 7182 37 ; ; : 39713 7182 38 the the DT 39713 7182 39 excentricity excentricity NN 39713 7182 40 of of IN 39713 7182 41 all all PDT 39713 7182 42 these these DT 39713 7182 43 ellipsoids ellipsoid NNS 39713 7182 44 is be VBZ 39713 7182 45 the the DT 39713 7182 46 same same JJ 39713 7182 47 and and CC 39713 7182 48 depends depend VBZ 39713 7182 49 solely solely RB 39713 7182 50 upon upon IN 39713 7182 51 the the DT 39713 7182 52 velocity velocity NN 39713 7182 53 of of IN 39713 7182 54 the the DT 39713 7182 55 earth earth NN 39713 7182 56 . . . 39713 7183 1 _ _ NNP 39713 7183 2 We -PRON- PRP 39713 7183 3 shall shall MD 39713 7183 4 so so RB 39713 7183 5 select select VB 39713 7183 6 the the DT 39713 7183 7 law law NN 39713 7183 8 of of IN 39713 7183 9 contraction contraction NN 39713 7183 10 that that IN 39713 7183 11 the the DT 39713 7183 12 point point NN 39713 7183 13 S S NNP 39713 7183 14 may may MD 39713 7183 15 be be VB 39713 7183 16 at at IN 39713 7183 17 the the DT 39713 7183 18 focus focus NN 39713 7183 19 of of IN 39713 7183 20 the the DT 39713 7183 21 meridian meridian JJ 39713 7183 22 section section NN 39713 7183 23 of of IN 39713 7183 24 the the DT 39713 7183 25 ellipsoid ellipsoid NN 39713 7183 26 . . . 39713 7183 27 _ _ NNP 39713 7183 28 This this DT 39713 7183 29 time time NN 39713 7183 30 the the DT 39713 7183 31 compensation compensation NN 39713 7183 32 is be VBZ 39713 7183 33 _ _ NNP 39713 7183 34 rigorous rigorous JJ 39713 7183 35 _ _ NNP 39713 7183 36 , , , 39713 7183 37 and and CC 39713 7183 38 this this DT 39713 7183 39 it -PRON- PRP 39713 7183 40 is be VBZ 39713 7183 41 which which WDT 39713 7183 42 explains explain VBZ 39713 7183 43 Michelson Michelson NNP 39713 7183 44 's 's POS 39713 7183 45 experiment experiment NN 39713 7183 46 . . . 39713 7184 1 I -PRON- PRP 39713 7184 2 have have VBP 39713 7184 3 said say VBD 39713 7184 4 above above IN 39713 7184 5 that that DT 39713 7184 6 , , , 39713 7184 7 according accord VBG 39713 7184 8 to to IN 39713 7184 9 the the DT 39713 7184 10 ordinary ordinary JJ 39713 7184 11 theories theory NNS 39713 7184 12 , , , 39713 7184 13 observations observation NNS 39713 7184 14 of of IN 39713 7184 15 the the DT 39713 7184 16 astronomic astronomic JJ 39713 7184 17 aberration aberration NN 39713 7184 18 would would MD 39713 7184 19 give give VB 39713 7184 20 us -PRON- PRP 39713 7184 21 the the DT 39713 7184 22 absolute absolute JJ 39713 7184 23 velocity velocity NN 39713 7184 24 of of IN 39713 7184 25 the the DT 39713 7184 26 earth earth NN 39713 7184 27 , , , 39713 7184 28 if if IN 39713 7184 29 our -PRON- PRP$ 39713 7184 30 instruments instrument NNS 39713 7184 31 were be VBD 39713 7184 32 a a DT 39713 7184 33 thousand thousand CD 39713 7184 34 times time NNS 39713 7184 35 more more RBR 39713 7184 36 precise precise JJ 39713 7184 37 . . . 39713 7185 1 I -PRON- PRP 39713 7185 2 must must MD 39713 7185 3 modify modify VB 39713 7185 4 this this DT 39713 7185 5 statement statement NN 39713 7185 6 . . . 39713 7186 1 Yes yes UH 39713 7186 2 , , , 39713 7186 3 the the DT 39713 7186 4 observed observe VBN 39713 7186 5 angles angle NNS 39713 7186 6 would would MD 39713 7186 7 be be VB 39713 7186 8 modified modify VBN 39713 7186 9 by by IN 39713 7186 10 the the DT 39713 7186 11 effect effect NN 39713 7186 12 of of IN 39713 7186 13 this this DT 39713 7186 14 absolute absolute JJ 39713 7186 15 velocity velocity NN 39713 7186 16 , , , 39713 7186 17 but but CC 39713 7186 18 the the DT 39713 7186 19 graduated graduate VBN 39713 7186 20 circles circle NNS 39713 7186 21 we -PRON- PRP 39713 7186 22 use use VBP 39713 7186 23 to to TO 39713 7186 24 measure measure VB 39713 7186 25 the the DT 39713 7186 26 angles angle NNS 39713 7186 27 would would MD 39713 7186 28 be be VB 39713 7186 29 deformed deform VBN 39713 7186 30 by by IN 39713 7186 31 the the DT 39713 7186 32 translation translation NN 39713 7186 33 : : : 39713 7186 34 they -PRON- PRP 39713 7186 35 would would MD 39713 7186 36 become become VB 39713 7186 37 ellipses ellipsis NNS 39713 7186 38 ; ; : 39713 7186 39 thence thence NN 39713 7186 40 would would MD 39713 7186 41 result result VB 39713 7186 42 an an DT 39713 7186 43 error error NN 39713 7186 44 in in IN 39713 7186 45 regard regard NN 39713 7186 46 to to IN 39713 7186 47 the the DT 39713 7186 48 angle angle NN 39713 7186 49 measured measure VBN 39713 7186 50 , , , 39713 7186 51 and and CC 39713 7186 52 _ _ NNP 39713 7186 53 this this DT 39713 7186 54 second second JJ 39713 7186 55 error error NN 39713 7186 56 would would MD 39713 7186 57 exactly exactly RB 39713 7186 58 compensate compensate VB 39713 7186 59 the the DT 39713 7186 60 first first JJ 39713 7186 61 _ _ NNP 39713 7186 62 . . . 39713 7187 1 This this DT 39713 7187 2 Lorentz Lorentz NNP 39713 7187 3 - - HYPH 39713 7187 4 Fitzgerald Fitzgerald NNP 39713 7187 5 hypothesis hypothesis NN 39713 7187 6 seems seem VBZ 39713 7187 7 at at IN 39713 7187 8 first first RB 39713 7187 9 very very RB 39713 7187 10 extraordinary extraordinary JJ 39713 7187 11 ; ; : 39713 7187 12 all all DT 39713 7187 13 we -PRON- PRP 39713 7187 14 can can MD 39713 7187 15 say say VB 39713 7187 16 for for IN 39713 7187 17 the the DT 39713 7187 18 moment moment NN 39713 7187 19 , , , 39713 7187 20 in in IN 39713 7187 21 its -PRON- PRP$ 39713 7187 22 favor favor NN 39713 7187 23 , , , 39713 7187 24 is be VBZ 39713 7187 25 that that IN 39713 7187 26 it -PRON- PRP 39713 7187 27 is be VBZ 39713 7187 28 only only RB 39713 7187 29 the the DT 39713 7187 30 immediate immediate JJ 39713 7187 31 translation translation NN 39713 7187 32 of of IN 39713 7187 33 Michelson Michelson NNP 39713 7187 34 's 's POS 39713 7187 35 experimental experimental JJ 39713 7187 36 result result NN 39713 7187 37 , , , 39713 7187 38 if if IN 39713 7187 39 we -PRON- PRP 39713 7187 40 _ _ NNP 39713 7187 41 define define NN 39713 7187 42 _ _ NNP 39713 7187 43 lengths length NNS 39713 7187 44 by by IN 39713 7187 45 the the DT 39713 7187 46 time time NN 39713 7187 47 taken take VBN 39713 7187 48 by by IN 39713 7187 49 light light NN 39713 7187 50 to to TO 39713 7187 51 run run VB 39713 7187 52 along along IN 39713 7187 53 them -PRON- PRP 39713 7187 54 . . . 39713 7188 1 However however RB 39713 7188 2 that that DT 39713 7188 3 may may MD 39713 7188 4 be be VB 39713 7188 5 , , , 39713 7188 6 it -PRON- PRP 39713 7188 7 is be VBZ 39713 7188 8 impossible impossible JJ 39713 7188 9 to to TO 39713 7188 10 escape escape VB 39713 7188 11 the the DT 39713 7188 12 impression impression NN 39713 7188 13 that that IN 39713 7188 14 the the DT 39713 7188 15 principle principle NN 39713 7188 16 of of IN 39713 7188 17 relativity relativity NN 39713 7188 18 is be VBZ 39713 7188 19 a a DT 39713 7188 20 general general JJ 39713 7188 21 law law NN 39713 7188 22 of of IN 39713 7188 23 nature nature NN 39713 7188 24 , , , 39713 7188 25 that that IN 39713 7188 26 one one PRP 39713 7188 27 will will MD 39713 7188 28 never never RB 39713 7188 29 be be VB 39713 7188 30 able able JJ 39713 7188 31 by by IN 39713 7188 32 any any DT 39713 7188 33 imaginable imaginable JJ 39713 7188 34 means mean NNS 39713 7188 35 to to TO 39713 7188 36 show show VB 39713 7188 37 any any DT 39713 7188 38 but but CC 39713 7188 39 relative relative JJ 39713 7188 40 velocities velocity NNS 39713 7188 41 , , , 39713 7188 42 and and CC 39713 7188 43 I -PRON- PRP 39713 7188 44 mean mean VBP 39713 7188 45 by by IN 39713 7188 46 that that DT 39713 7188 47 not not RB 39713 7188 48 only only RB 39713 7188 49 the the DT 39713 7188 50 velocities velocity NNS 39713 7188 51 of of IN 39713 7188 52 bodies body NNS 39713 7188 53 with with IN 39713 7188 54 reference reference NN 39713 7188 55 to to IN 39713 7188 56 the the DT 39713 7188 57 ether ether NN 39713 7188 58 , , , 39713 7188 59 but but CC 39713 7188 60 the the DT 39713 7188 61 velocities velocity NNS 39713 7188 62 of of IN 39713 7188 63 bodies body NNS 39713 7188 64 with with IN 39713 7188 65 regard regard NN 39713 7188 66 to to IN 39713 7188 67 one one CD 39713 7188 68 another another DT 39713 7188 69 . . . 39713 7189 1 Too too RB 39713 7189 2 many many JJ 39713 7189 3 different different JJ 39713 7189 4 experiments experiment NNS 39713 7189 5 have have VBP 39713 7189 6 given give VBN 39713 7189 7 concordant concordant NN 39713 7189 8 results result NNS 39713 7189 9 for for IN 39713 7189 10 us -PRON- PRP 39713 7189 11 not not RB 39713 7189 12 to to TO 39713 7189 13 feel feel VB 39713 7189 14 tempted tempt VBN 39713 7189 15 to to TO 39713 7189 16 attribute attribute VB 39713 7189 17 to to IN 39713 7189 18 this this DT 39713 7189 19 principle principle NN 39713 7189 20 of of IN 39713 7189 21 relativity relativity NN 39713 7189 22 a a DT 39713 7189 23 value value NN 39713 7189 24 comparable comparable JJ 39713 7189 25 to to IN 39713 7189 26 that that DT 39713 7189 27 , , , 39713 7189 28 for for IN 39713 7189 29 example example NN 39713 7189 30 , , , 39713 7189 31 of of IN 39713 7189 32 the the DT 39713 7189 33 principle principle NN 39713 7189 34 of of IN 39713 7189 35 equivalence equivalence NN 39713 7189 36 . . . 39713 7190 1 In in IN 39713 7190 2 any any DT 39713 7190 3 case case NN 39713 7190 4 , , , 39713 7190 5 it -PRON- PRP 39713 7190 6 is be VBZ 39713 7190 7 proper proper JJ 39713 7190 8 to to TO 39713 7190 9 see see VB 39713 7190 10 to to IN 39713 7190 11 what what WP 39713 7190 12 consequences consequence NNS 39713 7190 13 this this DT 39713 7190 14 way way NN 39713 7190 15 of of IN 39713 7190 16 looking look VBG 39713 7190 17 at at IN 39713 7190 18 things thing NNS 39713 7190 19 would would MD 39713 7190 20 lead lead VB 39713 7190 21 us -PRON- PRP 39713 7190 22 and and CC 39713 7190 23 then then RB 39713 7190 24 to to TO 39713 7190 25 submit submit VB 39713 7190 26 these these DT 39713 7190 27 consequences consequence NNS 39713 7190 28 to to IN 39713 7190 29 the the DT 39713 7190 30 control control NN 39713 7190 31 of of IN 39713 7190 32 experiment experiment NN 39713 7190 33 . . . 39713 7191 1 III III NNP 39713 7191 2 _ _ NNP 39713 7191 3 The the DT 39713 7191 4 Principle Principle NNP 39713 7191 5 of of IN 39713 7191 6 Reaction Reaction NNP 39713 7191 7 _ _ NNP 39713 7191 8 Let let VB 39713 7191 9 us -PRON- PRP 39713 7191 10 see see VB 39713 7191 11 what what WP 39713 7191 12 the the DT 39713 7191 13 principle principle NN 39713 7191 14 of of IN 39713 7191 15 the the DT 39713 7191 16 equality equality NN 39713 7191 17 of of IN 39713 7191 18 action action NN 39713 7191 19 and and CC 39713 7191 20 reaction reaction NN 39713 7191 21 becomes become VBZ 39713 7191 22 in in IN 39713 7191 23 the the DT 39713 7191 24 theory theory NN 39713 7191 25 of of IN 39713 7191 26 Lorentz Lorentz NNP 39713 7191 27 . . . 39713 7192 1 Consider consider VB 39713 7192 2 an an DT 39713 7192 3 electron electron NN 39713 7192 4 _ _ NNP 39713 7192 5 A A NNP 39713 7192 6 _ _ NNP 39713 7192 7 which which WDT 39713 7192 8 for for IN 39713 7192 9 any any DT 39713 7192 10 cause cause NN 39713 7192 11 begins begin VBZ 39713 7192 12 to to TO 39713 7192 13 move move VB 39713 7192 14 ; ; : 39713 7192 15 it -PRON- PRP 39713 7192 16 produces produce VBZ 39713 7192 17 a a DT 39713 7192 18 perturbation perturbation NN 39713 7192 19 in in IN 39713 7192 20 the the DT 39713 7192 21 ether ether NN 39713 7192 22 ; ; : 39713 7192 23 at at IN 39713 7192 24 the the DT 39713 7192 25 end end NN 39713 7192 26 of of IN 39713 7192 27 a a DT 39713 7192 28 certain certain JJ 39713 7192 29 time time NN 39713 7192 30 , , , 39713 7192 31 this this DT 39713 7192 32 perturbation perturbation NN 39713 7192 33 reaches reach VBZ 39713 7192 34 another another DT 39713 7192 35 electron electron NN 39713 7192 36 _ _ NNP 39713 7192 37 B B NNP 39713 7192 38 _ _ NNP 39713 7192 39 , , , 39713 7192 40 which which WDT 39713 7192 41 will will MD 39713 7192 42 be be VB 39713 7192 43 disturbed disturb VBN 39713 7192 44 from from IN 39713 7192 45 its -PRON- PRP$ 39713 7192 46 position position NN 39713 7192 47 of of IN 39713 7192 48 equilibrium equilibrium NN 39713 7192 49 . . . 39713 7193 1 In in IN 39713 7193 2 these these DT 39713 7193 3 conditions condition NNS 39713 7193 4 there there EX 39713 7193 5 can can MD 39713 7193 6 not not RB 39713 7193 7 be be VB 39713 7193 8 equality equality NN 39713 7193 9 between between IN 39713 7193 10 action action NN 39713 7193 11 and and CC 39713 7193 12 reaction reaction NN 39713 7193 13 , , , 39713 7193 14 at at IN 39713 7193 15 least least JJS 39713 7193 16 if if IN 39713 7193 17 we -PRON- PRP 39713 7193 18 do do VBP 39713 7193 19 not not RB 39713 7193 20 consider consider VB 39713 7193 21 the the DT 39713 7193 22 ether ether NN 39713 7193 23 , , , 39713 7193 24 but but CC 39713 7193 25 only only RB 39713 7193 26 the the DT 39713 7193 27 electrons electron NNS 39713 7193 28 , , , 39713 7193 29 _ _ NNP 39713 7193 30 which which WDT 39713 7193 31 alone alone RB 39713 7193 32 are be VBP 39713 7193 33 observable observable JJ 39713 7193 34 _ _ NNP 39713 7193 35 , , , 39713 7193 36 since since IN 39713 7193 37 our -PRON- PRP$ 39713 7193 38 matter matter NN 39713 7193 39 is be VBZ 39713 7193 40 made make VBN 39713 7193 41 of of IN 39713 7193 42 electrons electron NNS 39713 7193 43 . . . 39713 7194 1 In in IN 39713 7194 2 fact fact NN 39713 7194 3 it -PRON- PRP 39713 7194 4 is be VBZ 39713 7194 5 the the DT 39713 7194 6 electron electron NN 39713 7194 7 _ _ NNP 39713 7194 8 A A NNP 39713 7194 9 _ _ NNP 39713 7194 10 which which WDT 39713 7194 11 has have VBZ 39713 7194 12 disturbed disturb VBN 39713 7194 13 the the DT 39713 7194 14 electron electron NN 39713 7194 15 _ _ NNP 39713 7194 16 B B NNP 39713 7194 17 _ _ NNP 39713 7194 18 ; ; : 39713 7194 19 even even RB 39713 7194 20 in in IN 39713 7194 21 case case NN 39713 7194 22 the the DT 39713 7194 23 electron electron NN 39713 7194 24 _ _ NNP 39713 7194 25 B B NNP 39713 7194 26 _ _ NNP 39713 7194 27 should should MD 39713 7194 28 react react VB 39713 7194 29 upon upon IN 39713 7194 30 _ _ NNP 39713 7194 31 A A NNP 39713 7194 32 _ _ NNP 39713 7194 33 , , , 39713 7194 34 this this DT 39713 7194 35 reaction reaction NN 39713 7194 36 could could MD 39713 7194 37 be be VB 39713 7194 38 equal equal JJ 39713 7194 39 to to IN 39713 7194 40 the the DT 39713 7194 41 action action NN 39713 7194 42 , , , 39713 7194 43 but but CC 39713 7194 44 in in IN 39713 7194 45 no no DT 39713 7194 46 case case NN 39713 7194 47 simultaneous simultaneous JJ 39713 7194 48 , , , 39713 7194 49 since since IN 39713 7194 50 the the DT 39713 7194 51 electron electron NN 39713 7194 52 _ _ NNP 39713 7194 53 B B NNP 39713 7194 54 _ _ NNP 39713 7194 55 can can MD 39713 7194 56 begin begin VB 39713 7194 57 to to TO 39713 7194 58 move move VB 39713 7194 59 only only RB 39713 7194 60 after after IN 39713 7194 61 a a DT 39713 7194 62 certain certain JJ 39713 7194 63 time time NN 39713 7194 64 , , , 39713 7194 65 necessary necessary JJ 39713 7194 66 for for IN 39713 7194 67 the the DT 39713 7194 68 propagation propagation NN 39713 7194 69 . . . 39713 7195 1 Submitting submit VBG 39713 7195 2 the the DT 39713 7195 3 problem problem NN 39713 7195 4 to to IN 39713 7195 5 a a DT 39713 7195 6 more more RBR 39713 7195 7 exact exact JJ 39713 7195 8 calculation calculation NN 39713 7195 9 , , , 39713 7195 10 we -PRON- PRP 39713 7195 11 reach reach VBP 39713 7195 12 the the DT 39713 7195 13 following follow VBG 39713 7195 14 result result NN 39713 7195 15 : : : 39713 7195 16 Suppose suppose VB 39713 7195 17 a a DT 39713 7195 18 Hertz Hertz NNP 39713 7195 19 discharger discharger NN 39713 7195 20 placed place VBN 39713 7195 21 at at IN 39713 7195 22 the the DT 39713 7195 23 focus focus NN 39713 7195 24 of of IN 39713 7195 25 a a DT 39713 7195 26 parabolic parabolic JJ 39713 7195 27 mirror mirror NN 39713 7195 28 to to TO 39713 7195 29 which which WDT 39713 7195 30 it -PRON- PRP 39713 7195 31 is be VBZ 39713 7195 32 mechanically mechanically RB 39713 7195 33 attached attach VBN 39713 7195 34 ; ; : 39713 7195 35 this this DT 39713 7195 36 discharger discharger NN 39713 7195 37 emits emit VBZ 39713 7195 38 electromagnetic electromagnetic JJ 39713 7195 39 waves wave NNS 39713 7195 40 , , , 39713 7195 41 and and CC 39713 7195 42 the the DT 39713 7195 43 mirror mirror NN 39713 7195 44 reflects reflect VBZ 39713 7195 45 all all PDT 39713 7195 46 these these DT 39713 7195 47 waves wave NNS 39713 7195 48 in in IN 39713 7195 49 the the DT 39713 7195 50 same same JJ 39713 7195 51 direction direction NN 39713 7195 52 ; ; : 39713 7195 53 the the DT 39713 7195 54 discharger discharger NN 39713 7195 55 therefore therefore RB 39713 7195 56 will will MD 39713 7195 57 radiate radiate VB 39713 7195 58 energy energy NN 39713 7195 59 in in IN 39713 7195 60 a a DT 39713 7195 61 determinate determinate NN 39713 7195 62 direction direction NN 39713 7195 63 . . . 39713 7196 1 Well well UH 39713 7196 2 , , , 39713 7196 3 the the DT 39713 7196 4 calculation calculation NN 39713 7196 5 shows show VBZ 39713 7196 6 that that IN 39713 7196 7 _ _ NNP 39713 7196 8 the the DT 39713 7196 9 discharger discharger NN 39713 7196 10 recoils recoil VBZ 39713 7196 11 _ _ NNP 39713 7196 12 like like IN 39713 7196 13 a a DT 39713 7196 14 cannon cannon NN 39713 7196 15 which which WDT 39713 7196 16 has have VBZ 39713 7196 17 shot shoot VBN 39713 7196 18 out out RP 39713 7196 19 a a DT 39713 7196 20 projectile projectile NN 39713 7196 21 . . . 39713 7197 1 In in IN 39713 7197 2 the the DT 39713 7197 3 case case NN 39713 7197 4 of of IN 39713 7197 5 the the DT 39713 7197 6 cannon cannon NN 39713 7197 7 , , , 39713 7197 8 the the DT 39713 7197 9 recoil recoil NN 39713 7197 10 is be VBZ 39713 7197 11 the the DT 39713 7197 12 natural natural JJ 39713 7197 13 result result NN 39713 7197 14 of of IN 39713 7197 15 the the DT 39713 7197 16 equality equality NN 39713 7197 17 of of IN 39713 7197 18 action action NN 39713 7197 19 and and CC 39713 7197 20 reaction reaction NN 39713 7197 21 . . . 39713 7198 1 The the DT 39713 7198 2 cannon cannon NN 39713 7198 3 recoils recoil VBZ 39713 7198 4 because because IN 39713 7198 5 the the DT 39713 7198 6 projectile projectile NN 39713 7198 7 upon upon IN 39713 7198 8 which which WDT 39713 7198 9 it -PRON- PRP 39713 7198 10 has have VBZ 39713 7198 11 acted act VBN 39713 7198 12 reacts react NNS 39713 7198 13 upon upon IN 39713 7198 14 it -PRON- PRP 39713 7198 15 . . . 39713 7199 1 But but CC 39713 7199 2 here here RB 39713 7199 3 it -PRON- PRP 39713 7199 4 is be VBZ 39713 7199 5 no no RB 39713 7199 6 longer long RBR 39713 7199 7 the the DT 39713 7199 8 same same JJ 39713 7199 9 . . . 39713 7200 1 What what WP 39713 7200 2 has have VBZ 39713 7200 3 been be VBN 39713 7200 4 sent send VBN 39713 7200 5 out out RP 39713 7200 6 is be VBZ 39713 7200 7 no no RB 39713 7200 8 longer long RBR 39713 7200 9 a a DT 39713 7200 10 material material JJ 39713 7200 11 projectile projectile NN 39713 7200 12 : : : 39713 7200 13 it -PRON- PRP 39713 7200 14 is be VBZ 39713 7200 15 energy energy NN 39713 7200 16 , , , 39713 7200 17 and and CC 39713 7200 18 energy energy NN 39713 7200 19 has have VBZ 39713 7200 20 no no DT 39713 7200 21 mass mass NN 39713 7200 22 : : : 39713 7200 23 it -PRON- PRP 39713 7200 24 has have VBZ 39713 7200 25 no no DT 39713 7200 26 counterpart counterpart NN 39713 7200 27 . . . 39713 7201 1 And and CC 39713 7201 2 , , , 39713 7201 3 in in IN 39713 7201 4 place place NN 39713 7201 5 of of IN 39713 7201 6 a a DT 39713 7201 7 discharger discharger NN 39713 7201 8 , , , 39713 7201 9 we -PRON- PRP 39713 7201 10 could could MD 39713 7201 11 have have VB 39713 7201 12 considered consider VBN 39713 7201 13 just just RB 39713 7201 14 simply simply RB 39713 7201 15 a a DT 39713 7201 16 lamp lamp NN 39713 7201 17 with with IN 39713 7201 18 a a DT 39713 7201 19 reflector reflector NN 39713 7201 20 concentrating concentrate VBG 39713 7201 21 its -PRON- PRP$ 39713 7201 22 rays ray NNS 39713 7201 23 in in IN 39713 7201 24 a a DT 39713 7201 25 single single JJ 39713 7201 26 direction direction NN 39713 7201 27 . . . 39713 7202 1 It -PRON- PRP 39713 7202 2 is be VBZ 39713 7202 3 true true JJ 39713 7202 4 that that IN 39713 7202 5 , , , 39713 7202 6 if if IN 39713 7202 7 the the DT 39713 7202 8 energy energy NN 39713 7202 9 sent send VBD 39713 7202 10 out out RP 39713 7202 11 from from IN 39713 7202 12 the the DT 39713 7202 13 discharger discharger NN 39713 7202 14 or or CC 39713 7202 15 from from IN 39713 7202 16 the the DT 39713 7202 17 lamp lamp NN 39713 7202 18 meets meet VBZ 39713 7202 19 a a DT 39713 7202 20 material material JJ 39713 7202 21 object object NN 39713 7202 22 , , , 39713 7202 23 this this DT 39713 7202 24 object object NN 39713 7202 25 receives receive VBZ 39713 7202 26 a a DT 39713 7202 27 mechanical mechanical JJ 39713 7202 28 push push NN 39713 7202 29 as as IN 39713 7202 30 if if IN 39713 7202 31 it -PRON- PRP 39713 7202 32 had have VBD 39713 7202 33 been be VBN 39713 7202 34 hit hit VBN 39713 7202 35 by by IN 39713 7202 36 a a DT 39713 7202 37 real real JJ 39713 7202 38 projectile projectile NN 39713 7202 39 , , , 39713 7202 40 and and CC 39713 7202 41 this this DT 39713 7202 42 push push NN 39713 7202 43 will will MD 39713 7202 44 be be VB 39713 7202 45 equal equal JJ 39713 7202 46 to to IN 39713 7202 47 the the DT 39713 7202 48 recoil recoil NN 39713 7202 49 of of IN 39713 7202 50 the the DT 39713 7202 51 discharger discharger NN 39713 7202 52 and and CC 39713 7202 53 of of IN 39713 7202 54 the the DT 39713 7202 55 lamp lamp NN 39713 7202 56 , , , 39713 7202 57 if if IN 39713 7202 58 no no DT 39713 7202 59 energy energy NN 39713 7202 60 has have VBZ 39713 7202 61 been be VBN 39713 7202 62 lost lose VBN 39713 7202 63 on on IN 39713 7202 64 the the DT 39713 7202 65 way way NN 39713 7202 66 and and CC 39713 7202 67 if if IN 39713 7202 68 the the DT 39713 7202 69 object object NN 39713 7202 70 absorbs absorb VBZ 39713 7202 71 the the DT 39713 7202 72 whole whole NN 39713 7202 73 of of IN 39713 7202 74 the the DT 39713 7202 75 energy energy NN 39713 7202 76 . . . 39713 7203 1 Therefore therefore RB 39713 7203 2 one one CD 39713 7203 3 is be VBZ 39713 7203 4 tempted tempt VBN 39713 7203 5 to to TO 39713 7203 6 say say VB 39713 7203 7 that that IN 39713 7203 8 there there EX 39713 7203 9 still still RB 39713 7203 10 is be VBZ 39713 7203 11 compensation compensation NN 39713 7203 12 between between IN 39713 7203 13 the the DT 39713 7203 14 action action NN 39713 7203 15 and and CC 39713 7203 16 the the DT 39713 7203 17 reaction reaction NN 39713 7203 18 . . . 39713 7204 1 But but CC 39713 7204 2 this this DT 39713 7204 3 compensation compensation NN 39713 7204 4 , , , 39713 7204 5 even even RB 39713 7204 6 should should MD 39713 7204 7 it -PRON- PRP 39713 7204 8 be be VB 39713 7204 9 complete complete JJ 39713 7204 10 , , , 39713 7204 11 is be VBZ 39713 7204 12 always always RB 39713 7204 13 belated belate VBN 39713 7204 14 . . . 39713 7205 1 It -PRON- PRP 39713 7205 2 never never RB 39713 7205 3 happens happen VBZ 39713 7205 4 if if IN 39713 7205 5 the the DT 39713 7205 6 light light NN 39713 7205 7 , , , 39713 7205 8 after after IN 39713 7205 9 leaving leave VBG 39713 7205 10 its -PRON- PRP$ 39713 7205 11 source source NN 39713 7205 12 , , , 39713 7205 13 wanders wander VBZ 39713 7205 14 through through IN 39713 7205 15 interstellar interstellar JJ 39713 7205 16 spaces space NNS 39713 7205 17 without without IN 39713 7205 18 ever ever RB 39713 7205 19 meeting meet VBG 39713 7205 20 a a DT 39713 7205 21 material material JJ 39713 7205 22 body body NN 39713 7205 23 ; ; : 39713 7205 24 it -PRON- PRP 39713 7205 25 is be VBZ 39713 7205 26 incomplete incomplete JJ 39713 7205 27 , , , 39713 7205 28 if if IN 39713 7205 29 the the DT 39713 7205 30 body body NN 39713 7205 31 it -PRON- PRP 39713 7205 32 strikes strike VBZ 39713 7205 33 is be VBZ 39713 7205 34 not not RB 39713 7205 35 perfectly perfectly RB 39713 7205 36 absorbent absorbent JJ 39713 7205 37 . . . 39713 7206 1 Are be VBP 39713 7206 2 these these DT 39713 7206 3 mechanical mechanical JJ 39713 7206 4 actions action NNS 39713 7206 5 too too RB 39713 7206 6 small small JJ 39713 7206 7 to to TO 39713 7206 8 be be VB 39713 7206 9 measured measure VBN 39713 7206 10 , , , 39713 7206 11 or or CC 39713 7206 12 are be VBP 39713 7206 13 they -PRON- PRP 39713 7206 14 accessible accessible JJ 39713 7206 15 to to IN 39713 7206 16 experiment experiment VB 39713 7206 17 ? ? . 39713 7207 1 These these DT 39713 7207 2 actions action NNS 39713 7207 3 are be VBP 39713 7207 4 nothing nothing NN 39713 7207 5 other other JJ 39713 7207 6 than than IN 39713 7207 7 those those DT 39713 7207 8 due due IN 39713 7207 9 to to IN 39713 7207 10 the the DT 39713 7207 11 _ _ NNP 39713 7207 12 Maxwell Maxwell NNP 39713 7207 13 - - HYPH 39713 7207 14 Bartholi Bartholi NNP 39713 7207 15 _ _ NNP 39713 7207 16 pressures pressure NNS 39713 7207 17 ; ; : 39713 7207 18 Maxwell Maxwell NNP 39713 7207 19 had have VBD 39713 7207 20 predicted predict VBN 39713 7207 21 these these DT 39713 7207 22 pressures pressure NNS 39713 7207 23 from from IN 39713 7207 24 calculations calculation NNS 39713 7207 25 relative relative JJ 39713 7207 26 to to IN 39713 7207 27 electrostatics electrostatic NNS 39713 7207 28 and and CC 39713 7207 29 magnetism magnetism NN 39713 7207 30 ; ; : 39713 7207 31 Bartholi Bartholi NNP 39713 7207 32 reached reach VBD 39713 7207 33 the the DT 39713 7207 34 same same JJ 39713 7207 35 result result NN 39713 7207 36 by by IN 39713 7207 37 thermodynamic thermodynamic JJ 39713 7207 38 considerations consideration NNS 39713 7207 39 . . . 39713 7208 1 This this DT 39713 7208 2 is be VBZ 39713 7208 3 how how WRB 39713 7208 4 the the DT 39713 7208 5 _ _ NNP 39713 7208 6 tails tail NNS 39713 7208 7 of of IN 39713 7208 8 comets comet NNS 39713 7208 9 _ _ NNP 39713 7208 10 are be VBP 39713 7208 11 explained explain VBN 39713 7208 12 . . . 39713 7209 1 Little little JJ 39713 7209 2 particles particle NNS 39713 7209 3 detach detach VBP 39713 7209 4 themselves -PRON- PRP 39713 7209 5 from from IN 39713 7209 6 the the DT 39713 7209 7 nucleus nucleus NN 39713 7209 8 of of IN 39713 7209 9 the the DT 39713 7209 10 comet comet NN 39713 7209 11 ; ; : 39713 7209 12 they -PRON- PRP 39713 7209 13 are be VBP 39713 7209 14 struck strike VBN 39713 7209 15 by by IN 39713 7209 16 the the DT 39713 7209 17 light light NN 39713 7209 18 of of IN 39713 7209 19 the the DT 39713 7209 20 sun sun NN 39713 7209 21 , , , 39713 7209 22 which which WDT 39713 7209 23 pushes push VBZ 39713 7209 24 them -PRON- PRP 39713 7209 25 back back RB 39713 7209 26 as as IN 39713 7209 27 would would MD 39713 7209 28 a a DT 39713 7209 29 rain rain NN 39713 7209 30 of of IN 39713 7209 31 projectiles projectile NNS 39713 7209 32 coming come VBG 39713 7209 33 from from IN 39713 7209 34 the the DT 39713 7209 35 sun sun NN 39713 7209 36 . . . 39713 7210 1 The the DT 39713 7210 2 mass mass NN 39713 7210 3 of of IN 39713 7210 4 these these DT 39713 7210 5 particles particle NNS 39713 7210 6 is be VBZ 39713 7210 7 so so RB 39713 7210 8 little little JJ 39713 7210 9 that that IN 39713 7210 10 this this DT 39713 7210 11 repulsion repulsion NN 39713 7210 12 sweeps sweep VBZ 39713 7210 13 it -PRON- PRP 39713 7210 14 away away RB 39713 7210 15 against against IN 39713 7210 16 the the DT 39713 7210 17 Newtonian newtonian JJ 39713 7210 18 attraction attraction NN 39713 7210 19 ; ; : 39713 7210 20 so so CC 39713 7210 21 in in IN 39713 7210 22 moving move VBG 39713 7210 23 away away RB 39713 7210 24 from from IN 39713 7210 25 the the DT 39713 7210 26 sun sun NN 39713 7210 27 they -PRON- PRP 39713 7210 28 form form VBP 39713 7210 29 the the DT 39713 7210 30 tails tail NNS 39713 7210 31 . . . 39713 7211 1 The the DT 39713 7211 2 direct direct JJ 39713 7211 3 experimental experimental JJ 39713 7211 4 verification verification NN 39713 7211 5 was be VBD 39713 7211 6 not not RB 39713 7211 7 easy easy JJ 39713 7211 8 to to TO 39713 7211 9 obtain obtain VB 39713 7211 10 . . . 39713 7212 1 The the DT 39713 7212 2 first first JJ 39713 7212 3 endeavor endeavor NN 39713 7212 4 led lead VBD 39713 7212 5 to to IN 39713 7212 6 the the DT 39713 7212 7 construction construction NN 39713 7212 8 of of IN 39713 7212 9 the the DT 39713 7212 10 _ _ NNP 39713 7212 11 radiometer radiometer NN 39713 7212 12 _ _ NNP 39713 7212 13 . . . 39713 7213 1 But but CC 39713 7213 2 this this DT 39713 7213 3 instrument instrument NN 39713 7213 4 _ _ NNP 39713 7213 5 turns turn VBZ 39713 7213 6 backward backward JJ 39713 7213 7 _ _ NNP 39713 7213 8 , , , 39713 7213 9 in in IN 39713 7213 10 the the DT 39713 7213 11 sense sense NN 39713 7213 12 opposite opposite IN 39713 7213 13 to to IN 39713 7213 14 the the DT 39713 7213 15 theoretic theoretic JJ 39713 7213 16 sense sense NN 39713 7213 17 , , , 39713 7213 18 and and CC 39713 7213 19 the the DT 39713 7213 20 explanation explanation NN 39713 7213 21 of of IN 39713 7213 22 its -PRON- PRP$ 39713 7213 23 rotation rotation NN 39713 7213 24 , , , 39713 7213 25 since since IN 39713 7213 26 discovered discover VBN 39713 7213 27 , , , 39713 7213 28 is be VBZ 39713 7213 29 wholly wholly RB 39713 7213 30 different different JJ 39713 7213 31 . . . 39713 7214 1 At at IN 39713 7214 2 last last JJ 39713 7214 3 success success NN 39713 7214 4 came come VBD 39713 7214 5 , , , 39713 7214 6 by by IN 39713 7214 7 making make VBG 39713 7214 8 the the DT 39713 7214 9 vacuum vacuum NN 39713 7214 10 more more RBR 39713 7214 11 complete complete JJ 39713 7214 12 , , , 39713 7214 13 on on IN 39713 7214 14 the the DT 39713 7214 15 one one CD 39713 7214 16 hand hand NN 39713 7214 17 , , , 39713 7214 18 and and CC 39713 7214 19 on on IN 39713 7214 20 the the DT 39713 7214 21 other other JJ 39713 7214 22 by by IN 39713 7214 23 not not RB 39713 7214 24 blackening blacken VBG 39713 7214 25 one one CD 39713 7214 26 of of IN 39713 7214 27 the the DT 39713 7214 28 faces face NNS 39713 7214 29 of of IN 39713 7214 30 the the DT 39713 7214 31 paddles paddle NNS 39713 7214 32 and and CC 39713 7214 33 directing direct VBG 39713 7214 34 a a DT 39713 7214 35 pencil pencil NN 39713 7214 36 of of IN 39713 7214 37 luminous luminous JJ 39713 7214 38 rays ray NNS 39713 7214 39 upon upon IN 39713 7214 40 one one CD 39713 7214 41 of of IN 39713 7214 42 the the DT 39713 7214 43 faces face NNS 39713 7214 44 . . . 39713 7215 1 The the DT 39713 7215 2 radiometric radiometric JJ 39713 7215 3 effects effect NNS 39713 7215 4 and and CC 39713 7215 5 the the DT 39713 7215 6 other other JJ 39713 7215 7 disturbing disturbing JJ 39713 7215 8 causes cause NNS 39713 7215 9 are be VBP 39713 7215 10 eliminated eliminate VBN 39713 7215 11 by by IN 39713 7215 12 a a DT 39713 7215 13 series series NN 39713 7215 14 of of IN 39713 7215 15 pains pain NNS 39713 7215 16 - - HYPH 39713 7215 17 taking take VBG 39713 7215 18 precautions precaution NNS 39713 7215 19 , , , 39713 7215 20 and and CC 39713 7215 21 one one CD 39713 7215 22 obtains obtain VBZ 39713 7215 23 a a DT 39713 7215 24 deviation deviation NN 39713 7215 25 which which WDT 39713 7215 26 is be VBZ 39713 7215 27 very very RB 39713 7215 28 minute minute JJ 39713 7215 29 , , , 39713 7215 30 but but CC 39713 7215 31 which which WDT 39713 7215 32 is be VBZ 39713 7215 33 , , , 39713 7215 34 it -PRON- PRP 39713 7215 35 would would MD 39713 7215 36 seem seem VB 39713 7215 37 , , , 39713 7215 38 in in IN 39713 7215 39 conformity conformity NN 39713 7215 40 with with IN 39713 7215 41 the the DT 39713 7215 42 theory theory NN 39713 7215 43 . . . 39713 7216 1 The the DT 39713 7216 2 same same JJ 39713 7216 3 effects effect NNS 39713 7216 4 of of IN 39713 7216 5 the the DT 39713 7216 6 Maxwell Maxwell NNP 39713 7216 7 - - HYPH 39713 7216 8 Bartholi Bartholi NNP 39713 7216 9 pressure pressure NN 39713 7216 10 are be VBP 39713 7216 11 forecast forecast VBN 39713 7216 12 likewise likewise RB 39713 7216 13 by by IN 39713 7216 14 the the DT 39713 7216 15 theory theory NN 39713 7216 16 of of IN 39713 7216 17 Hertz Hertz NNP 39713 7216 18 of of IN 39713 7216 19 which which WDT 39713 7216 20 we -PRON- PRP 39713 7216 21 have have VBP 39713 7216 22 before before IN 39713 7216 23 spoken speak VBN 39713 7216 24 , , , 39713 7216 25 and and CC 39713 7216 26 by by IN 39713 7216 27 that that DT 39713 7216 28 of of IN 39713 7216 29 Lorentz Lorentz NNP 39713 7216 30 . . . 39713 7217 1 But but CC 39713 7217 2 there there EX 39713 7217 3 is be VBZ 39713 7217 4 a a DT 39713 7217 5 difference difference NN 39713 7217 6 . . . 39713 7218 1 Suppose suppose VB 39713 7218 2 that that IN 39713 7218 3 the the DT 39713 7218 4 energy energy NN 39713 7218 5 , , , 39713 7218 6 under under IN 39713 7218 7 the the DT 39713 7218 8 form form NN 39713 7218 9 of of IN 39713 7218 10 light light NN 39713 7218 11 , , , 39713 7218 12 for for IN 39713 7218 13 example example NN 39713 7218 14 , , , 39713 7218 15 proceeds proceed VBZ 39713 7218 16 from from IN 39713 7218 17 a a DT 39713 7218 18 luminous luminous JJ 39713 7218 19 source source NN 39713 7218 20 to to IN 39713 7218 21 any any DT 39713 7218 22 body body NN 39713 7218 23 through through IN 39713 7218 24 a a DT 39713 7218 25 transparent transparent JJ 39713 7218 26 medium medium NN 39713 7218 27 . . . 39713 7219 1 The the DT 39713 7219 2 Maxwell Maxwell NNP 39713 7219 3 - - HYPH 39713 7219 4 Bartholi Bartholi NNP 39713 7219 5 pressure pressure NN 39713 7219 6 will will MD 39713 7219 7 act act VB 39713 7219 8 , , , 39713 7219 9 not not RB 39713 7219 10 alone alone JJ 39713 7219 11 upon upon IN 39713 7219 12 the the DT 39713 7219 13 source source NN 39713 7219 14 at at IN 39713 7219 15 the the DT 39713 7219 16 departure departure NN 39713 7219 17 , , , 39713 7219 18 and and CC 39713 7219 19 on on IN 39713 7219 20 the the DT 39713 7219 21 body body NN 39713 7219 22 lit light VBN 39713 7219 23 up up RP 39713 7219 24 at at IN 39713 7219 25 the the DT 39713 7219 26 arrival arrival NN 39713 7219 27 , , , 39713 7219 28 but but CC 39713 7219 29 upon upon IN 39713 7219 30 the the DT 39713 7219 31 matter matter NN 39713 7219 32 of of IN 39713 7219 33 the the DT 39713 7219 34 transparent transparent JJ 39713 7219 35 medium medium NN 39713 7219 36 which which WDT 39713 7219 37 it -PRON- PRP 39713 7219 38 traverses traverse VBZ 39713 7219 39 . . . 39713 7220 1 At at IN 39713 7220 2 the the DT 39713 7220 3 moment moment NN 39713 7220 4 when when WRB 39713 7220 5 the the DT 39713 7220 6 luminous luminous JJ 39713 7220 7 wave wave NN 39713 7220 8 reaches reach VBZ 39713 7220 9 a a DT 39713 7220 10 new new JJ 39713 7220 11 region region NN 39713 7220 12 of of IN 39713 7220 13 this this DT 39713 7220 14 medium medium NN 39713 7220 15 , , , 39713 7220 16 this this DT 39713 7220 17 pressure pressure NN 39713 7220 18 will will MD 39713 7220 19 push push VB 39713 7220 20 forward forward RB 39713 7220 21 the the DT 39713 7220 22 matter matter NN 39713 7220 23 there there RB 39713 7220 24 distributed distribute VBN 39713 7220 25 and and CC 39713 7220 26 will will MD 39713 7220 27 put put VB 39713 7220 28 it -PRON- PRP 39713 7220 29 back back RP 39713 7220 30 when when WRB 39713 7220 31 the the DT 39713 7220 32 wave wave NN 39713 7220 33 leaves leave VBZ 39713 7220 34 this this DT 39713 7220 35 region region NN 39713 7220 36 . . . 39713 7221 1 So so RB 39713 7221 2 that that IN 39713 7221 3 the the DT 39713 7221 4 recoil recoil NN 39713 7221 5 of of IN 39713 7221 6 the the DT 39713 7221 7 source source NN 39713 7221 8 has have VBZ 39713 7221 9 for for IN 39713 7221 10 counterpart counterpart NN 39713 7221 11 the the DT 39713 7221 12 forward forward JJ 39713 7221 13 movement movement NN 39713 7221 14 of of IN 39713 7221 15 the the DT 39713 7221 16 transparent transparent JJ 39713 7221 17 matter matter NN 39713 7221 18 which which WDT 39713 7221 19 is be VBZ 39713 7221 20 in in IN 39713 7221 21 contact contact NN 39713 7221 22 with with IN 39713 7221 23 this this DT 39713 7221 24 source source NN 39713 7221 25 ; ; : 39713 7221 26 a a DT 39713 7221 27 little little JJ 39713 7221 28 later later RB 39713 7221 29 , , , 39713 7221 30 the the DT 39713 7221 31 recoil recoil NN 39713 7221 32 of of IN 39713 7221 33 this this DT 39713 7221 34 same same JJ 39713 7221 35 matter matter NN 39713 7221 36 has have VBZ 39713 7221 37 for for IN 39713 7221 38 counterpart counterpart NN 39713 7221 39 the the DT 39713 7221 40 forward forward JJ 39713 7221 41 movement movement NN 39713 7221 42 of of IN 39713 7221 43 the the DT 39713 7221 44 transparent transparent JJ 39713 7221 45 matter matter NN 39713 7221 46 which which WDT 39713 7221 47 lies lie VBZ 39713 7221 48 a a DT 39713 7221 49 little little JJ 39713 7221 50 further further RB 39713 7221 51 on on RB 39713 7221 52 , , , 39713 7221 53 and and CC 39713 7221 54 so so RB 39713 7221 55 on on RB 39713 7221 56 . . . 39713 7222 1 Only only RB 39713 7222 2 , , , 39713 7222 3 is be VBZ 39713 7222 4 the the DT 39713 7222 5 compensation compensation NN 39713 7222 6 perfect perfect JJ 39713 7222 7 ? ? . 39713 7223 1 Is be VBZ 39713 7223 2 the the DT 39713 7223 3 action action NN 39713 7223 4 of of IN 39713 7223 5 the the DT 39713 7223 6 Maxwell Maxwell NNP 39713 7223 7 - - HYPH 39713 7223 8 Bartholi Bartholi NNP 39713 7223 9 pressure pressure NN 39713 7223 10 upon upon IN 39713 7223 11 the the DT 39713 7223 12 matter matter NN 39713 7223 13 of of IN 39713 7223 14 the the DT 39713 7223 15 transparent transparent JJ 39713 7223 16 medium medium NN 39713 7223 17 equal equal JJ 39713 7223 18 to to IN 39713 7223 19 its -PRON- PRP$ 39713 7223 20 reaction reaction NN 39713 7223 21 upon upon IN 39713 7223 22 the the DT 39713 7223 23 source source NN 39713 7223 24 , , , 39713 7223 25 and and CC 39713 7223 26 that that IN 39713 7223 27 whatever whatever WDT 39713 7223 28 be be VB 39713 7223 29 this this DT 39713 7223 30 matter matter NN 39713 7223 31 ? ? . 39713 7224 1 Or or CC 39713 7224 2 is be VBZ 39713 7224 3 this this DT 39713 7224 4 action action NN 39713 7224 5 by by IN 39713 7224 6 so so RB 39713 7224 7 much much RB 39713 7224 8 the the DT 39713 7224 9 less less JJR 39713 7224 10 as as IN 39713 7224 11 the the DT 39713 7224 12 medium medium NN 39713 7224 13 is be VBZ 39713 7224 14 less less RBR 39713 7224 15 refractive refractive JJ 39713 7224 16 and and CC 39713 7224 17 more more RBR 39713 7224 18 rarefied rarefied JJ 39713 7224 19 , , , 39713 7224 20 becoming become VBG 39713 7224 21 null null NN 39713 7224 22 in in IN 39713 7224 23 the the DT 39713 7224 24 void void NN 39713 7224 25 ? ? . 39713 7225 1 If if IN 39713 7225 2 we -PRON- PRP 39713 7225 3 admit admit VBP 39713 7225 4 the the DT 39713 7225 5 theory theory NN 39713 7225 6 of of IN 39713 7225 7 Hertz Hertz NNP 39713 7225 8 , , , 39713 7225 9 who who WP 39713 7225 10 regards regard VBZ 39713 7225 11 matter matter NN 39713 7225 12 as as IN 39713 7225 13 mechanically mechanically RB 39713 7225 14 bound bind VBN 39713 7225 15 to to IN 39713 7225 16 the the DT 39713 7225 17 ether ether NN 39713 7225 18 , , , 39713 7225 19 so so IN 39713 7225 20 that that IN 39713 7225 21 the the DT 39713 7225 22 ether ether NN 39713 7225 23 may may MD 39713 7225 24 be be VB 39713 7225 25 entirely entirely RB 39713 7225 26 carried carry VBN 39713 7225 27 along along RP 39713 7225 28 by by IN 39713 7225 29 matter matter NN 39713 7225 30 , , , 39713 7225 31 it -PRON- PRP 39713 7225 32 would would MD 39713 7225 33 be be VB 39713 7225 34 necessary necessary JJ 39713 7225 35 to to TO 39713 7225 36 answer answer VB 39713 7225 37 yes yes UH 39713 7225 38 to to IN 39713 7225 39 the the DT 39713 7225 40 first first JJ 39713 7225 41 question question NN 39713 7225 42 and and CC 39713 7225 43 no no UH 39713 7225 44 to to IN 39713 7225 45 the the DT 39713 7225 46 second second JJ 39713 7225 47 . . . 39713 7226 1 There there EX 39713 7226 2 would would MD 39713 7226 3 then then RB 39713 7226 4 be be VB 39713 7226 5 perfect perfect JJ 39713 7226 6 compensation compensation NN 39713 7226 7 , , , 39713 7226 8 as as IN 39713 7226 9 required require VBN 39713 7226 10 by by IN 39713 7226 11 the the DT 39713 7226 12 principle principle NN 39713 7226 13 of of IN 39713 7226 14 the the DT 39713 7226 15 equality equality NN 39713 7226 16 of of IN 39713 7226 17 action action NN 39713 7226 18 and and CC 39713 7226 19 reaction reaction NN 39713 7226 20 , , , 39713 7226 21 even even RB 39713 7226 22 in in IN 39713 7226 23 the the DT 39713 7226 24 least least JJS 39713 7226 25 refractive refractive JJ 39713 7226 26 media medium NNS 39713 7226 27 , , , 39713 7226 28 even even RB 39713 7226 29 in in IN 39713 7226 30 the the DT 39713 7226 31 air air NN 39713 7226 32 , , , 39713 7226 33 even even RB 39713 7226 34 in in IN 39713 7226 35 the the DT 39713 7226 36 interplanetary interplanetary JJ 39713 7226 37 void void NN 39713 7226 38 , , , 39713 7226 39 where where WRB 39713 7226 40 it -PRON- PRP 39713 7226 41 would would MD 39713 7226 42 suffice suffice VB 39713 7226 43 to to TO 39713 7226 44 suppose suppose VB 39713 7226 45 a a DT 39713 7226 46 residue residue NN 39713 7226 47 of of IN 39713 7226 48 matter matter NN 39713 7226 49 , , , 39713 7226 50 however however RB 39713 7226 51 subtile subtile NN 39713 7226 52 . . . 39713 7227 1 If if IN 39713 7227 2 on on IN 39713 7227 3 the the DT 39713 7227 4 contrary contrary NN 39713 7227 5 we -PRON- PRP 39713 7227 6 admit admit VBP 39713 7227 7 the the DT 39713 7227 8 theory theory NN 39713 7227 9 of of IN 39713 7227 10 Lorentz Lorentz NNP 39713 7227 11 , , , 39713 7227 12 the the DT 39713 7227 13 compensation compensation NN 39713 7227 14 , , , 39713 7227 15 always always RB 39713 7227 16 imperfect imperfect JJ 39713 7227 17 , , , 39713 7227 18 is be VBZ 39713 7227 19 insensible insensible JJ 39713 7227 20 in in IN 39713 7227 21 the the DT 39713 7227 22 air air NN 39713 7227 23 and and CC 39713 7227 24 becomes become VBZ 39713 7227 25 null null VBG 39713 7227 26 in in IN 39713 7227 27 the the DT 39713 7227 28 void void NN 39713 7227 29 . . . 39713 7228 1 But but CC 39713 7228 2 we -PRON- PRP 39713 7228 3 have have VBP 39713 7228 4 seen see VBN 39713 7228 5 above above IN 39713 7228 6 that that DT 39713 7228 7 Fizeau Fizeau NNP 39713 7228 8 's 's POS 39713 7228 9 experiment experiment NN 39713 7228 10 does do VBZ 39713 7228 11 not not RB 39713 7228 12 permit permit VB 39713 7228 13 of of IN 39713 7228 14 our -PRON- PRP$ 39713 7228 15 retaining retain VBG 39713 7228 16 the the DT 39713 7228 17 theory theory NN 39713 7228 18 of of IN 39713 7228 19 Hertz Hertz NNP 39713 7228 20 ; ; : 39713 7228 21 it -PRON- PRP 39713 7228 22 is be VBZ 39713 7228 23 necessary necessary JJ 39713 7228 24 therefore therefore RB 39713 7228 25 to to TO 39713 7228 26 adopt adopt VB 39713 7228 27 the the DT 39713 7228 28 theory theory NN 39713 7228 29 of of IN 39713 7228 30 Lorentz Lorentz NNP 39713 7228 31 , , , 39713 7228 32 and and CC 39713 7228 33 consequently consequently RB 39713 7228 34 _ _ NNP 39713 7228 35 to to TO 39713 7228 36 renounce renounce VB 39713 7228 37 the the DT 39713 7228 38 principle principle NN 39713 7228 39 of of IN 39713 7228 40 reaction reaction NN 39713 7228 41 _ _ NNP 39713 7228 42 . . . 39713 7229 1 IV IV NNP 39713 7229 2 _ _ NNP 39713 7229 3 Consequences Consequences NNPS 39713 7229 4 of of IN 39713 7229 5 the the DT 39713 7229 6 Principle Principle NNP 39713 7229 7 of of IN 39713 7229 8 Relativity Relativity NNP 39713 7229 9 _ _ NNP 39713 7229 10 We -PRON- PRP 39713 7229 11 have have VBP 39713 7229 12 seen see VBN 39713 7229 13 above above IN 39713 7229 14 the the DT 39713 7229 15 reasons reason NNS 39713 7229 16 which which WDT 39713 7229 17 impel impel VBP 39713 7229 18 us -PRON- PRP 39713 7229 19 to to TO 39713 7229 20 regard regard VB 39713 7229 21 the the DT 39713 7229 22 principle principle NN 39713 7229 23 of of IN 39713 7229 24 relativity relativity NN 39713 7229 25 as as IN 39713 7229 26 a a DT 39713 7229 27 general general JJ 39713 7229 28 law law NN 39713 7229 29 of of IN 39713 7229 30 nature nature NN 39713 7229 31 . . . 39713 7230 1 Let let VB 39713 7230 2 us -PRON- PRP 39713 7230 3 see see VB 39713 7230 4 to to IN 39713 7230 5 what what WP 39713 7230 6 consequences consequence NNS 39713 7230 7 this this DT 39713 7230 8 principle principle NN 39713 7230 9 would would MD 39713 7230 10 lead lead VB 39713 7230 11 , , , 39713 7230 12 should should MD 39713 7230 13 it -PRON- PRP 39713 7230 14 be be VB 39713 7230 15 regarded regard VBN 39713 7230 16 as as IN 39713 7230 17 finally finally RB 39713 7230 18 demonstrated demonstrate VBN 39713 7230 19 . . . 39713 7231 1 First first RB 39713 7231 2 , , , 39713 7231 3 it -PRON- PRP 39713 7231 4 obliges oblige VBZ 39713 7231 5 us -PRON- PRP 39713 7231 6 to to TO 39713 7231 7 generalize generalize VB 39713 7231 8 the the DT 39713 7231 9 hypothesis hypothesis NN 39713 7231 10 of of IN 39713 7231 11 Lorentz Lorentz NNP 39713 7231 12 and and CC 39713 7231 13 Fitzgerald Fitzgerald NNP 39713 7231 14 on on IN 39713 7231 15 the the DT 39713 7231 16 contraction contraction NN 39713 7231 17 of of IN 39713 7231 18 all all DT 39713 7231 19 bodies body NNS 39713 7231 20 in in IN 39713 7231 21 the the DT 39713 7231 22 sense sense NN 39713 7231 23 of of IN 39713 7231 24 the the DT 39713 7231 25 translation translation NN 39713 7231 26 . . . 39713 7232 1 In in IN 39713 7232 2 particular particular JJ 39713 7232 3 , , , 39713 7232 4 we -PRON- PRP 39713 7232 5 must must MD 39713 7232 6 extend extend VB 39713 7232 7 this this DT 39713 7232 8 hypothesis hypothesis NN 39713 7232 9 to to IN 39713 7232 10 the the DT 39713 7232 11 electrons electron NNS 39713 7232 12 themselves -PRON- PRP 39713 7232 13 . . . 39713 7233 1 Abraham Abraham NNP 39713 7233 2 considered consider VBD 39713 7233 3 these these DT 39713 7233 4 electrons electron NNS 39713 7233 5 as as IN 39713 7233 6 spherical spherical JJ 39713 7233 7 and and CC 39713 7233 8 indeformable indeformable JJ 39713 7233 9 ; ; : 39713 7233 10 it -PRON- PRP 39713 7233 11 will will MD 39713 7233 12 be be VB 39713 7233 13 necessary necessary JJ 39713 7233 14 for for IN 39713 7233 15 us -PRON- PRP 39713 7233 16 to to TO 39713 7233 17 admit admit VB 39713 7233 18 that that IN 39713 7233 19 these these DT 39713 7233 20 electrons electron NNS 39713 7233 21 , , , 39713 7233 22 spherical spherical JJ 39713 7233 23 when when WRB 39713 7233 24 in in IN 39713 7233 25 repose repose NN 39713 7233 26 , , , 39713 7233 27 undergo undergo VB 39713 7233 28 the the DT 39713 7233 29 Lorentz Lorentz NNP 39713 7233 30 contraction contraction NN 39713 7233 31 when when WRB 39713 7233 32 in in IN 39713 7233 33 motion motion NN 39713 7233 34 and and CC 39713 7233 35 take take VB 39713 7233 36 then then RB 39713 7233 37 the the DT 39713 7233 38 form form NN 39713 7233 39 of of IN 39713 7233 40 flattened flatten VBN 39713 7233 41 ellipsoids ellipsoid NNS 39713 7233 42 . . . 39713 7234 1 This this DT 39713 7234 2 deformation deformation NN 39713 7234 3 of of IN 39713 7234 4 the the DT 39713 7234 5 electrons electron NNS 39713 7234 6 will will MD 39713 7234 7 influence influence VB 39713 7234 8 their -PRON- PRP$ 39713 7234 9 mechanical mechanical JJ 39713 7234 10 properties property NNS 39713 7234 11 . . . 39713 7235 1 In in IN 39713 7235 2 fact fact NN 39713 7235 3 I -PRON- PRP 39713 7235 4 have have VBP 39713 7235 5 said say VBN 39713 7235 6 that that IN 39713 7235 7 the the DT 39713 7235 8 displacement displacement NN 39713 7235 9 of of IN 39713 7235 10 these these DT 39713 7235 11 charged charge VBN 39713 7235 12 electrons electron NNS 39713 7235 13 is be VBZ 39713 7235 14 a a DT 39713 7235 15 veritable veritable JJ 39713 7235 16 current current NN 39713 7235 17 of of IN 39713 7235 18 convection convection NN 39713 7235 19 and and CC 39713 7235 20 that that IN 39713 7235 21 their -PRON- PRP$ 39713 7235 22 apparent apparent JJ 39713 7235 23 inertia inertia NN 39713 7235 24 is be VBZ 39713 7235 25 due due JJ 39713 7235 26 to to IN 39713 7235 27 the the DT 39713 7235 28 self self NN 39713 7235 29 - - HYPH 39713 7235 30 induction induction NN 39713 7235 31 of of IN 39713 7235 32 this this DT 39713 7235 33 current current NN 39713 7235 34 : : : 39713 7235 35 exclusively exclusively RB 39713 7235 36 as as IN 39713 7235 37 concerns concern NNS 39713 7235 38 the the DT 39713 7235 39 negative negative JJ 39713 7235 40 electrons electron NNS 39713 7235 41 ; ; : 39713 7235 42 exclusively exclusively RB 39713 7235 43 or or CC 39713 7235 44 not not RB 39713 7235 45 , , , 39713 7235 46 we -PRON- PRP 39713 7235 47 do do VBP 39713 7235 48 not not RB 39713 7235 49 yet yet RB 39713 7235 50 know know VB 39713 7235 51 , , , 39713 7235 52 for for IN 39713 7235 53 the the DT 39713 7235 54 positive positive JJ 39713 7235 55 electrons electron NNS 39713 7235 56 . . . 39713 7236 1 Well well UH 39713 7236 2 , , , 39713 7236 3 the the DT 39713 7236 4 deformation deformation NN 39713 7236 5 of of IN 39713 7236 6 the the DT 39713 7236 7 electrons electron NNS 39713 7236 8 , , , 39713 7236 9 a a DT 39713 7236 10 deformation deformation NN 39713 7236 11 which which WDT 39713 7236 12 depends depend VBZ 39713 7236 13 upon upon IN 39713 7236 14 their -PRON- PRP$ 39713 7236 15 velocity velocity NN 39713 7236 16 , , , 39713 7236 17 will will MD 39713 7236 18 modify modify VB 39713 7236 19 the the DT 39713 7236 20 distribution distribution NN 39713 7236 21 of of IN 39713 7236 22 the the DT 39713 7236 23 electricity electricity NN 39713 7236 24 upon upon IN 39713 7236 25 their -PRON- PRP$ 39713 7236 26 surface surface NN 39713 7236 27 , , , 39713 7236 28 consequently consequently RB 39713 7236 29 the the DT 39713 7236 30 intensity intensity NN 39713 7236 31 of of IN 39713 7236 32 the the DT 39713 7236 33 convection convection NN 39713 7236 34 current current NN 39713 7236 35 they -PRON- PRP 39713 7236 36 produce produce VBP 39713 7236 37 , , , 39713 7236 38 consequently consequently RB 39713 7236 39 the the DT 39713 7236 40 laws law NNS 39713 7236 41 according accord VBG 39713 7236 42 to to IN 39713 7236 43 which which WDT 39713 7236 44 the the DT 39713 7236 45 self self NN 39713 7236 46 - - HYPH 39713 7236 47 induction induction NN 39713 7236 48 of of IN 39713 7236 49 this this DT 39713 7236 50 current current NN 39713 7236 51 will will MD 39713 7236 52 vary vary VB 39713 7236 53 as as IN 39713 7236 54 a a DT 39713 7236 55 function function NN 39713 7236 56 of of IN 39713 7236 57 the the DT 39713 7236 58 velocity velocity NN 39713 7236 59 . . . 39713 7237 1 At at IN 39713 7237 2 this this DT 39713 7237 3 price price NN 39713 7237 4 , , , 39713 7237 5 the the DT 39713 7237 6 compensation compensation NN 39713 7237 7 will will MD 39713 7237 8 be be VB 39713 7237 9 perfect perfect JJ 39713 7237 10 and and CC 39713 7237 11 will will MD 39713 7237 12 conform conform VB 39713 7237 13 to to IN 39713 7237 14 the the DT 39713 7237 15 requirements requirement NNS 39713 7237 16 of of IN 39713 7237 17 the the DT 39713 7237 18 principle principle NN 39713 7237 19 of of IN 39713 7237 20 relativity relativity NN 39713 7237 21 , , , 39713 7237 22 but but CC 39713 7237 23 only only RB 39713 7237 24 upon upon IN 39713 7237 25 two two CD 39713 7237 26 conditions condition NNS 39713 7237 27 : : : 39713 7237 28 1º 1º VBZ 39713 7237 29 That that IN 39713 7237 30 the the DT 39713 7237 31 positive positive JJ 39713 7237 32 electrons electron NNS 39713 7237 33 have have VBP 39713 7237 34 no no DT 39713 7237 35 real real JJ 39713 7237 36 mass mass NN 39713 7237 37 , , , 39713 7237 38 but but CC 39713 7237 39 only only RB 39713 7237 40 a a DT 39713 7237 41 fictitious fictitious JJ 39713 7237 42 electromagnetic electromagnetic JJ 39713 7237 43 mass mass NN 39713 7237 44 ; ; : 39713 7237 45 or or CC 39713 7237 46 at at IN 39713 7237 47 least least JJS 39713 7237 48 that that IN 39713 7237 49 their -PRON- PRP$ 39713 7237 50 real real JJ 39713 7237 51 mass mass NN 39713 7237 52 , , , 39713 7237 53 if if IN 39713 7237 54 it -PRON- PRP 39713 7237 55 exists exist VBZ 39713 7237 56 , , , 39713 7237 57 is be VBZ 39713 7237 58 not not RB 39713 7237 59 constant constant JJ 39713 7237 60 and and CC 39713 7237 61 varies vary VBZ 39713 7237 62 with with IN 39713 7237 63 the the DT 39713 7237 64 velocity velocity NN 39713 7237 65 according accord VBG 39713 7237 66 to to IN 39713 7237 67 the the DT 39713 7237 68 same same JJ 39713 7237 69 laws law NNS 39713 7237 70 as as IN 39713 7237 71 their -PRON- PRP$ 39713 7237 72 fictitious fictitious JJ 39713 7237 73 mass mass NN 39713 7237 74 ; ; : 39713 7237 75 2º 2º NNS 39713 7237 76 That that WDT 39713 7237 77 all all DT 39713 7237 78 forces force NNS 39713 7237 79 are be VBP 39713 7237 80 of of IN 39713 7237 81 electromagnetic electromagnetic JJ 39713 7237 82 origin origin NN 39713 7237 83 , , , 39713 7237 84 or or CC 39713 7237 85 at at IN 39713 7237 86 least least JJS 39713 7237 87 that that IN 39713 7237 88 they -PRON- PRP 39713 7237 89 vary vary VBP 39713 7237 90 with with IN 39713 7237 91 the the DT 39713 7237 92 velocity velocity NN 39713 7237 93 according accord VBG 39713 7237 94 to to IN 39713 7237 95 the the DT 39713 7237 96 same same JJ 39713 7237 97 laws law NNS 39713 7237 98 as as IN 39713 7237 99 the the DT 39713 7237 100 forces force NNS 39713 7237 101 of of IN 39713 7237 102 electromagnetic electromagnetic JJ 39713 7237 103 origin origin NN 39713 7237 104 . . . 39713 7238 1 It -PRON- PRP 39713 7238 2 still still RB 39713 7238 3 is be VBZ 39713 7238 4 Lorentz Lorentz NNP 39713 7238 5 who who WP 39713 7238 6 has have VBZ 39713 7238 7 made make VBN 39713 7238 8 this this DT 39713 7238 9 remarkable remarkable JJ 39713 7238 10 synthesis synthesis NN 39713 7238 11 ; ; : 39713 7238 12 stop stop VB 39713 7238 13 a a DT 39713 7238 14 moment moment NN 39713 7238 15 and and CC 39713 7238 16 see see VB 39713 7238 17 what what WP 39713 7238 18 follows follow VBZ 39713 7238 19 therefrom therefrom JJ 39713 7238 20 . . . 39713 7239 1 First first RB 39713 7239 2 , , , 39713 7239 3 there there EX 39713 7239 4 is be VBZ 39713 7239 5 no no DT 39713 7239 6 more more JJR 39713 7239 7 matter matter NN 39713 7239 8 , , , 39713 7239 9 since since IN 39713 7239 10 the the DT 39713 7239 11 positive positive JJ 39713 7239 12 electrons electron NNS 39713 7239 13 no no RB 39713 7239 14 longer longer RB 39713 7239 15 have have VBP 39713 7239 16 real real JJ 39713 7239 17 mass mass NN 39713 7239 18 , , , 39713 7239 19 or or CC 39713 7239 20 at at IN 39713 7239 21 least least JJS 39713 7239 22 no no DT 39713 7239 23 constant constant JJ 39713 7239 24 real real JJ 39713 7239 25 mass mass NN 39713 7239 26 . . . 39713 7240 1 The the DT 39713 7240 2 present present JJ 39713 7240 3 principles principle NNS 39713 7240 4 of of IN 39713 7240 5 our -PRON- PRP$ 39713 7240 6 mechanics mechanic NNS 39713 7240 7 , , , 39713 7240 8 founded found VBN 39713 7240 9 upon upon IN 39713 7240 10 the the DT 39713 7240 11 constancy constancy NN 39713 7240 12 of of IN 39713 7240 13 mass mass NNP 39713 7240 14 , , , 39713 7240 15 must must MD 39713 7240 16 therefore therefore RB 39713 7240 17 be be VB 39713 7240 18 modified modify VBN 39713 7240 19 . . . 39713 7241 1 Again again RB 39713 7241 2 , , , 39713 7241 3 an an DT 39713 7241 4 electromagnetic electromagnetic JJ 39713 7241 5 explanation explanation NN 39713 7241 6 must must MD 39713 7241 7 be be VB 39713 7241 8 sought seek VBN 39713 7241 9 of of IN 39713 7241 10 all all PDT 39713 7241 11 the the DT 39713 7241 12 known know VBN 39713 7241 13 forces force NNS 39713 7241 14 , , , 39713 7241 15 in in IN 39713 7241 16 particular particular JJ 39713 7241 17 of of IN 39713 7241 18 gravitation gravitation NN 39713 7241 19 , , , 39713 7241 20 or or CC 39713 7241 21 at at IN 39713 7241 22 least least JJS 39713 7241 23 the the DT 39713 7241 24 law law NN 39713 7241 25 of of IN 39713 7241 26 gravitation gravitation NN 39713 7241 27 must must MD 39713 7241 28 be be VB 39713 7241 29 so so RB 39713 7241 30 modified modified JJ 39713 7241 31 that that IN 39713 7241 32 this this DT 39713 7241 33 force force NN 39713 7241 34 is be VBZ 39713 7241 35 altered alter VBN 39713 7241 36 by by IN 39713 7241 37 velocity velocity NN 39713 7241 38 in in IN 39713 7241 39 the the DT 39713 7241 40 same same JJ 39713 7241 41 way way NN 39713 7241 42 as as IN 39713 7241 43 the the DT 39713 7241 44 electromagnetic electromagnetic JJ 39713 7241 45 forces force NNS 39713 7241 46 . . . 39713 7242 1 We -PRON- PRP 39713 7242 2 shall shall MD 39713 7242 3 return return VB 39713 7242 4 to to IN 39713 7242 5 this this DT 39713 7242 6 point point NN 39713 7242 7 . . . 39713 7243 1 All all DT 39713 7243 2 that that WDT 39713 7243 3 appears appear VBZ 39713 7243 4 , , , 39713 7243 5 at at IN 39713 7243 6 first first JJ 39713 7243 7 sight sight NN 39713 7243 8 , , , 39713 7243 9 a a DT 39713 7243 10 little little JJ 39713 7243 11 artificial artificial JJ 39713 7243 12 . . . 39713 7244 1 In in IN 39713 7244 2 particular particular JJ 39713 7244 3 , , , 39713 7244 4 this this DT 39713 7244 5 deformation deformation NN 39713 7244 6 of of IN 39713 7244 7 electrons electron NNS 39713 7244 8 seems seem VBZ 39713 7244 9 quite quite RB 39713 7244 10 hypothetical hypothetical JJ 39713 7244 11 . . . 39713 7245 1 But but CC 39713 7245 2 the the DT 39713 7245 3 thing thing NN 39713 7245 4 may may MD 39713 7245 5 be be VB 39713 7245 6 presented present VBN 39713 7245 7 otherwise otherwise RB 39713 7245 8 , , , 39713 7245 9 so so IN 39713 7245 10 as as IN 39713 7245 11 to to TO 39713 7245 12 avoid avoid VB 39713 7245 13 putting put VBG 39713 7245 14 this this DT 39713 7245 15 hypothesis hypothesis NN 39713 7245 16 of of IN 39713 7245 17 deformation deformation NN 39713 7245 18 at at IN 39713 7245 19 the the DT 39713 7245 20 foundation foundation NN 39713 7245 21 of of IN 39713 7245 22 the the DT 39713 7245 23 reasoning reasoning NN 39713 7245 24 . . . 39713 7246 1 Consider consider VB 39713 7246 2 the the DT 39713 7246 3 electrons electron NNS 39713 7246 4 as as IN 39713 7246 5 material material NN 39713 7246 6 points point NNS 39713 7246 7 and and CC 39713 7246 8 ask ask VB 39713 7246 9 how how WRB 39713 7246 10 their -PRON- PRP$ 39713 7246 11 mass mass NN 39713 7246 12 should should MD 39713 7246 13 vary vary VB 39713 7246 14 as as IN 39713 7246 15 function function NN 39713 7246 16 of of IN 39713 7246 17 the the DT 39713 7246 18 velocity velocity NN 39713 7246 19 not not RB 39713 7246 20 to to TO 39713 7246 21 contravene contravene VB 39713 7246 22 the the DT 39713 7246 23 principle principle NN 39713 7246 24 of of IN 39713 7246 25 relativity relativity NN 39713 7246 26 . . . 39713 7247 1 Or or CC 39713 7247 2 , , , 39713 7247 3 still still RB 39713 7247 4 better well RBR 39713 7247 5 , , , 39713 7247 6 ask ask VB 39713 7247 7 what what WP 39713 7247 8 should should MD 39713 7247 9 be be VB 39713 7247 10 their -PRON- PRP$ 39713 7247 11 acceleration acceleration NN 39713 7247 12 under under IN 39713 7247 13 the the DT 39713 7247 14 influence influence NN 39713 7247 15 of of IN 39713 7247 16 an an DT 39713 7247 17 electric electric JJ 39713 7247 18 or or CC 39713 7247 19 magnetic magnetic JJ 39713 7247 20 field field NN 39713 7247 21 , , , 39713 7247 22 that that IN 39713 7247 23 this this DT 39713 7247 24 principle principle NN 39713 7247 25 be be VBP 39713 7247 26 not not RB 39713 7247 27 violated violate VBN 39713 7247 28 and and CC 39713 7247 29 that that IN 39713 7247 30 we -PRON- PRP 39713 7247 31 come come VBP 39713 7247 32 back back RB 39713 7247 33 to to IN 39713 7247 34 the the DT 39713 7247 35 ordinary ordinary JJ 39713 7247 36 laws law NNS 39713 7247 37 when when WRB 39713 7247 38 we -PRON- PRP 39713 7247 39 suppose suppose VBP 39713 7247 40 the the DT 39713 7247 41 velocity velocity NN 39713 7247 42 very very RB 39713 7247 43 slight slight JJ 39713 7247 44 . . . 39713 7248 1 We -PRON- PRP 39713 7248 2 shall shall MD 39713 7248 3 find find VB 39713 7248 4 that that IN 39713 7248 5 the the DT 39713 7248 6 variations variation NNS 39713 7248 7 of of IN 39713 7248 8 this this DT 39713 7248 9 mass mass NN 39713 7248 10 , , , 39713 7248 11 or or CC 39713 7248 12 of of IN 39713 7248 13 these these DT 39713 7248 14 accelerations acceleration NNS 39713 7248 15 , , , 39713 7248 16 must must MD 39713 7248 17 be be VB 39713 7248 18 _ _ NNP 39713 7248 19 as as IN 39713 7248 20 if if IN 39713 7248 21 _ _ NNP 39713 7248 22 the the DT 39713 7248 23 electron electron NN 39713 7248 24 underwent undergo VBD 39713 7248 25 the the DT 39713 7248 26 Lorentz Lorentz NNP 39713 7248 27 deformation deformation NN 39713 7248 28 . . . 39713 7249 1 V V NNP 39713 7249 2 _ _ NNP 39713 7249 3 Kaufmann Kaufmann NNP 39713 7249 4 's 's POS 39713 7249 5 Experiment Experiment NNP 39713 7249 6 _ _ NNP 39713 7249 7 We -PRON- PRP 39713 7249 8 have have VBP 39713 7249 9 before before IN 39713 7249 10 us -PRON- PRP 39713 7249 11 , , , 39713 7249 12 then then RB 39713 7249 13 , , , 39713 7249 14 two two CD 39713 7249 15 theories theory NNS 39713 7249 16 : : : 39713 7249 17 one one CD 39713 7249 18 where where WRB 39713 7249 19 the the DT 39713 7249 20 electrons electron NNS 39713 7249 21 are be VBP 39713 7249 22 indeformable indeformable JJ 39713 7249 23 , , , 39713 7249 24 this this DT 39713 7249 25 is be VBZ 39713 7249 26 that that DT 39713 7249 27 of of IN 39713 7249 28 Abraham Abraham NNP 39713 7249 29 ; ; : 39713 7249 30 the the DT 39713 7249 31 other other JJ 39713 7249 32 where where WRB 39713 7249 33 they -PRON- PRP 39713 7249 34 undergo undergo VBP 39713 7249 35 the the DT 39713 7249 36 Lorentz Lorentz NNP 39713 7249 37 deformation deformation NN 39713 7249 38 . . . 39713 7250 1 In in IN 39713 7250 2 both both DT 39713 7250 3 cases case NNS 39713 7250 4 , , , 39713 7250 5 their -PRON- PRP$ 39713 7250 6 mass mass NN 39713 7250 7 increases increase NNS 39713 7250 8 with with IN 39713 7250 9 the the DT 39713 7250 10 velocity velocity NN 39713 7250 11 , , , 39713 7250 12 becoming become VBG 39713 7250 13 infinite infinite JJ 39713 7250 14 when when WRB 39713 7250 15 this this DT 39713 7250 16 velocity velocity NN 39713 7250 17 becomes become VBZ 39713 7250 18 equal equal JJ 39713 7250 19 to to IN 39713 7250 20 that that DT 39713 7250 21 of of IN 39713 7250 22 light light NN 39713 7250 23 ; ; : 39713 7250 24 but but CC 39713 7250 25 the the DT 39713 7250 26 law law NN 39713 7250 27 of of IN 39713 7250 28 the the DT 39713 7250 29 variation variation NN 39713 7250 30 is be VBZ 39713 7250 31 not not RB 39713 7250 32 the the DT 39713 7250 33 same same JJ 39713 7250 34 . . . 39713 7251 1 The the DT 39713 7251 2 method method NN 39713 7251 3 employed employ VBN 39713 7251 4 by by IN 39713 7251 5 Kaufmann Kaufmann NNP 39713 7251 6 to to TO 39713 7251 7 bring bring VB 39713 7251 8 to to TO 39713 7251 9 light light VB 39713 7251 10 the the DT 39713 7251 11 law law NN 39713 7251 12 of of IN 39713 7251 13 variation variation NN 39713 7251 14 of of IN 39713 7251 15 the the DT 39713 7251 16 mass mass NN 39713 7251 17 seems seem VBZ 39713 7251 18 therefore therefore RB 39713 7251 19 to to TO 39713 7251 20 give give VB 39713 7251 21 us -PRON- PRP 39713 7251 22 an an DT 39713 7251 23 experimental experimental JJ 39713 7251 24 means mean NNS 39713 7251 25 of of IN 39713 7251 26 deciding decide VBG 39713 7251 27 between between IN 39713 7251 28 the the DT 39713 7251 29 two two CD 39713 7251 30 theories theory NNS 39713 7251 31 . . . 39713 7252 1 Unhappily unhappily RB 39713 7252 2 , , , 39713 7252 3 his -PRON- PRP$ 39713 7252 4 first first JJ 39713 7252 5 experiments experiment NNS 39713 7252 6 were be VBD 39713 7252 7 not not RB 39713 7252 8 sufficiently sufficiently RB 39713 7252 9 precise precise JJ 39713 7252 10 for for IN 39713 7252 11 that that DT 39713 7252 12 ; ; : 39713 7252 13 so so RB 39713 7252 14 he -PRON- PRP 39713 7252 15 decided decide VBD 39713 7252 16 to to TO 39713 7252 17 repeat repeat VB 39713 7252 18 them -PRON- PRP 39713 7252 19 with with IN 39713 7252 20 more more JJR 39713 7252 21 precautions precaution NNS 39713 7252 22 , , , 39713 7252 23 and and CC 39713 7252 24 measuring measure VBG 39713 7252 25 with with IN 39713 7252 26 great great JJ 39713 7252 27 care care NN 39713 7252 28 the the DT 39713 7252 29 intensity intensity NN 39713 7252 30 of of IN 39713 7252 31 the the DT 39713 7252 32 fields field NNS 39713 7252 33 . . . 39713 7253 1 Under under IN 39713 7253 2 their -PRON- PRP$ 39713 7253 3 new new JJ 39713 7253 4 form form NN 39713 7253 5 _ _ NNP 39713 7253 6 they -PRON- PRP 39713 7253 7 are be VBP 39713 7253 8 in in IN 39713 7253 9 favor favor NN 39713 7253 10 of of IN 39713 7253 11 the the DT 39713 7253 12 theory theory NN 39713 7253 13 of of IN 39713 7253 14 Abraham Abraham NNP 39713 7253 15 _ _ NNP 39713 7253 16 . . . 39713 7254 1 Then then RB 39713 7254 2 the the DT 39713 7254 3 principle principle NN 39713 7254 4 of of IN 39713 7254 5 relativity relativity NN 39713 7254 6 would would MD 39713 7254 7 not not RB 39713 7254 8 have have VB 39713 7254 9 the the DT 39713 7254 10 rigorous rigorous JJ 39713 7254 11 value value NN 39713 7254 12 we -PRON- PRP 39713 7254 13 were be VBD 39713 7254 14 tempted tempt VBN 39713 7254 15 to to TO 39713 7254 16 attribute attribute VB 39713 7254 17 to to IN 39713 7254 18 it -PRON- PRP 39713 7254 19 ; ; : 39713 7254 20 there there EX 39713 7254 21 would would MD 39713 7254 22 no no RB 39713 7254 23 longer longer RB 39713 7254 24 be be VB 39713 7254 25 reason reason NN 39713 7254 26 for for IN 39713 7254 27 believing believe VBG 39713 7254 28 the the DT 39713 7254 29 positive positive JJ 39713 7254 30 electrons electron NNS 39713 7254 31 denuded denude VBN 39713 7254 32 of of IN 39713 7254 33 real real JJ 39713 7254 34 mass mass NN 39713 7254 35 like like IN 39713 7254 36 the the DT 39713 7254 37 negative negative JJ 39713 7254 38 electrons electron NNS 39713 7254 39 . . . 39713 7255 1 However however RB 39713 7255 2 , , , 39713 7255 3 before before IN 39713 7255 4 definitely definitely RB 39713 7255 5 adopting adopt VBG 39713 7255 6 this this DT 39713 7255 7 conclusion conclusion NN 39713 7255 8 , , , 39713 7255 9 a a DT 39713 7255 10 little little JJ 39713 7255 11 reflection reflection NN 39713 7255 12 is be VBZ 39713 7255 13 necessary necessary JJ 39713 7255 14 . . . 39713 7256 1 The the DT 39713 7256 2 question question NN 39713 7256 3 is be VBZ 39713 7256 4 of of IN 39713 7256 5 such such JJ 39713 7256 6 importance importance NN 39713 7256 7 that that IN 39713 7256 8 it -PRON- PRP 39713 7256 9 is be VBZ 39713 7256 10 to to TO 39713 7256 11 be be VB 39713 7256 12 wished wish VBN 39713 7256 13 Kaufmann Kaufmann NNP 39713 7256 14 's 's POS 39713 7256 15 experiment experiment NN 39713 7256 16 were be VBD 39713 7256 17 repeated repeat VBN 39713 7256 18 by by IN 39713 7256 19 another another DT 39713 7256 20 experimenter experimenter NN 39713 7256 21 . . . 39713 7257 1 [ [ -LRB- 39713 7257 2 17 17 CD 39713 7257 3 ] ] -RRB- 39713 7257 4 Unhappily unhappily RB 39713 7257 5 , , , 39713 7257 6 this this DT 39713 7257 7 experiment experiment NN 39713 7257 8 is be VBZ 39713 7257 9 very very RB 39713 7257 10 delicate delicate JJ 39713 7257 11 and and CC 39713 7257 12 could could MD 39713 7257 13 be be VB 39713 7257 14 carried carry VBN 39713 7257 15 out out RP 39713 7257 16 successfully successfully RB 39713 7257 17 only only RB 39713 7257 18 by by IN 39713 7257 19 a a DT 39713 7257 20 physicist physicist NN 39713 7257 21 of of IN 39713 7257 22 the the DT 39713 7257 23 same same JJ 39713 7257 24 ability ability NN 39713 7257 25 as as IN 39713 7257 26 Kaufmann Kaufmann NNP 39713 7257 27 . . . 39713 7258 1 All all DT 39713 7258 2 precautions precaution NNS 39713 7258 3 have have VBP 39713 7258 4 been be VBN 39713 7258 5 properly properly RB 39713 7258 6 taken take VBN 39713 7258 7 and and CC 39713 7258 8 we -PRON- PRP 39713 7258 9 hardly hardly RB 39713 7258 10 see see VBP 39713 7258 11 what what WDT 39713 7258 12 objection objection NN 39713 7258 13 could could MD 39713 7258 14 be be VB 39713 7258 15 made make VBN 39713 7258 16 . . . 39713 7259 1 [ [ -LRB- 39713 7259 2 17 17 CD 39713 7259 3 ] ] -RRB- 39713 7259 4 At at IN 39713 7259 5 the the DT 39713 7259 6 moment moment NN 39713 7259 7 of of IN 39713 7259 8 going go VBG 39713 7259 9 to to TO 39713 7259 10 press press VB 39713 7259 11 we -PRON- PRP 39713 7259 12 learn learn VBP 39713 7259 13 that that IN 39713 7259 14 M. M. NNP 39713 7259 15 Bucherer Bucherer NNP 39713 7259 16 has have VBZ 39713 7259 17 repeated repeat VBN 39713 7259 18 the the DT 39713 7259 19 experiment experiment NN 39713 7259 20 , , , 39713 7259 21 taking take VBG 39713 7259 22 new new JJ 39713 7259 23 precautions precaution NNS 39713 7259 24 , , , 39713 7259 25 and and CC 39713 7259 26 that that IN 39713 7259 27 he -PRON- PRP 39713 7259 28 has have VBZ 39713 7259 29 obtained obtain VBN 39713 7259 30 , , , 39713 7259 31 contrary contrary JJ 39713 7259 32 to to IN 39713 7259 33 Kaufmann Kaufmann NNP 39713 7259 34 , , , 39713 7259 35 results result NNS 39713 7259 36 confirming confirm VBG 39713 7259 37 the the DT 39713 7259 38 views view NNS 39713 7259 39 of of IN 39713 7259 40 Lorentz Lorentz NNP 39713 7259 41 . . . 39713 7260 1 There there EX 39713 7260 2 is be VBZ 39713 7260 3 one one CD 39713 7260 4 point point NN 39713 7260 5 however however RB 39713 7260 6 to to TO 39713 7260 7 which which WDT 39713 7260 8 I -PRON- PRP 39713 7260 9 wish wish VBP 39713 7260 10 to to TO 39713 7260 11 draw draw VB 39713 7260 12 attention attention NN 39713 7260 13 : : : 39713 7260 14 that that DT 39713 7260 15 is be VBZ 39713 7260 16 to to IN 39713 7260 17 the the DT 39713 7260 18 measurement measurement NN 39713 7260 19 of of IN 39713 7260 20 the the DT 39713 7260 21 electrostatic electrostatic JJ 39713 7260 22 field field NN 39713 7260 23 , , , 39713 7260 24 a a DT 39713 7260 25 measurement measurement NN 39713 7260 26 upon upon IN 39713 7260 27 which which WDT 39713 7260 28 all all DT 39713 7260 29 depends depend VBZ 39713 7260 30 . . . 39713 7261 1 This this DT 39713 7261 2 field field NN 39713 7261 3 was be VBD 39713 7261 4 produced produce VBN 39713 7261 5 between between IN 39713 7261 6 the the DT 39713 7261 7 two two CD 39713 7261 8 armatures armature NNS 39713 7261 9 of of IN 39713 7261 10 a a DT 39713 7261 11 condenser condenser NN 39713 7261 12 ; ; : 39713 7261 13 and and CC 39713 7261 14 , , , 39713 7261 15 between between IN 39713 7261 16 these these DT 39713 7261 17 armatures armature NNS 39713 7261 18 , , , 39713 7261 19 there there EX 39713 7261 20 was be VBD 39713 7261 21 to to TO 39713 7261 22 be be VB 39713 7261 23 made make VBN 39713 7261 24 an an DT 39713 7261 25 extremely extremely RB 39713 7261 26 perfect perfect JJ 39713 7261 27 vacuum vacuum NN 39713 7261 28 , , , 39713 7261 29 in in IN 39713 7261 30 order order NN 39713 7261 31 to to TO 39713 7261 32 obtain obtain VB 39713 7261 33 a a DT 39713 7261 34 complete complete JJ 39713 7261 35 isolation isolation NN 39713 7261 36 . . . 39713 7262 1 Then then RB 39713 7262 2 the the DT 39713 7262 3 difference difference NN 39713 7262 4 of of IN 39713 7262 5 potential potential NN 39713 7262 6 of of IN 39713 7262 7 the the DT 39713 7262 8 two two CD 39713 7262 9 armatures armature NNS 39713 7262 10 was be VBD 39713 7262 11 measured measure VBN 39713 7262 12 , , , 39713 7262 13 and and CC 39713 7262 14 the the DT 39713 7262 15 field field NN 39713 7262 16 obtained obtain VBN 39713 7262 17 by by IN 39713 7262 18 dividing divide VBG 39713 7262 19 this this DT 39713 7262 20 difference difference NN 39713 7262 21 by by IN 39713 7262 22 the the DT 39713 7262 23 distance distance NN 39713 7262 24 apart apart RB 39713 7262 25 of of IN 39713 7262 26 the the DT 39713 7262 27 armatures armature NNS 39713 7262 28 . . . 39713 7263 1 That that DT 39713 7263 2 supposes suppose VBZ 39713 7263 3 the the DT 39713 7263 4 field field NN 39713 7263 5 uniform uniform NN 39713 7263 6 ; ; : 39713 7263 7 is be VBZ 39713 7263 8 this this DT 39713 7263 9 certain certain JJ 39713 7263 10 ? ? . 39713 7264 1 Might may MD 39713 7264 2 there there EX 39713 7264 3 not not RB 39713 7264 4 be be VB 39713 7264 5 an an DT 39713 7264 6 abrupt abrupt JJ 39713 7264 7 fall fall NN 39713 7264 8 of of IN 39713 7264 9 potential potential NN 39713 7264 10 in in IN 39713 7264 11 the the DT 39713 7264 12 neighborhood neighborhood NN 39713 7264 13 of of IN 39713 7264 14 one one CD 39713 7264 15 of of IN 39713 7264 16 the the DT 39713 7264 17 armatures armature NNS 39713 7264 18 , , , 39713 7264 19 of of IN 39713 7264 20 the the DT 39713 7264 21 negative negative JJ 39713 7264 22 armature armature NN 39713 7264 23 , , , 39713 7264 24 for for IN 39713 7264 25 example example NN 39713 7264 26 ? ? . 39713 7265 1 There there EX 39713 7265 2 may may MD 39713 7265 3 be be VB 39713 7265 4 a a DT 39713 7265 5 difference difference NN 39713 7265 6 of of IN 39713 7265 7 potential potential NN 39713 7265 8 at at IN 39713 7265 9 the the DT 39713 7265 10 meeting meeting NN 39713 7265 11 of of IN 39713 7265 12 the the DT 39713 7265 13 metal metal NN 39713 7265 14 and and CC 39713 7265 15 the the DT 39713 7265 16 vacuum vacuum NN 39713 7265 17 , , , 39713 7265 18 and and CC 39713 7265 19 it -PRON- PRP 39713 7265 20 may may MD 39713 7265 21 be be VB 39713 7265 22 that that IN 39713 7265 23 this this DT 39713 7265 24 difference difference NN 39713 7265 25 is be VBZ 39713 7265 26 not not RB 39713 7265 27 the the DT 39713 7265 28 same same JJ 39713 7265 29 on on IN 39713 7265 30 the the DT 39713 7265 31 positive positive JJ 39713 7265 32 side side NN 39713 7265 33 and and CC 39713 7265 34 on on IN 39713 7265 35 the the DT 39713 7265 36 negative negative JJ 39713 7265 37 side side NN 39713 7265 38 ; ; : 39713 7265 39 what what WP 39713 7265 40 would would MD 39713 7265 41 lead lead VB 39713 7265 42 me -PRON- PRP 39713 7265 43 to to TO 39713 7265 44 think think VB 39713 7265 45 so so RB 39713 7265 46 is be VBZ 39713 7265 47 the the DT 39713 7265 48 electric electric JJ 39713 7265 49 valve valve NN 39713 7265 50 effects effect NNS 39713 7265 51 between between IN 39713 7265 52 mercury mercury NN 39713 7265 53 and and CC 39713 7265 54 vacuum vacuum NN 39713 7265 55 . . . 39713 7266 1 However however WRB 39713 7266 2 slight slight JJ 39713 7266 3 the the DT 39713 7266 4 probability probability NN 39713 7266 5 that that IN 39713 7266 6 it -PRON- PRP 39713 7266 7 is be VBZ 39713 7266 8 so so RB 39713 7266 9 , , , 39713 7266 10 it -PRON- PRP 39713 7266 11 seems seem VBZ 39713 7266 12 that that IN 39713 7266 13 it -PRON- PRP 39713 7266 14 should should MD 39713 7266 15 be be VB 39713 7266 16 considered consider VBN 39713 7266 17 . . . 39713 7267 1 VI VI NNP 39713 7267 2 _ _ NNP 39713 7267 3 The the DT 39713 7267 4 Principle Principle NNP 39713 7267 5 of of IN 39713 7267 6 Inertia Inertia NNP 39713 7267 7 _ _ NNP 39713 7267 8 In in IN 39713 7267 9 the the DT 39713 7267 10 new new JJ 39713 7267 11 dynamics dynamic NNS 39713 7267 12 , , , 39713 7267 13 the the DT 39713 7267 14 principle principle NN 39713 7267 15 of of IN 39713 7267 16 inertia inertia NN 39713 7267 17 is be VBZ 39713 7267 18 still still RB 39713 7267 19 true true JJ 39713 7267 20 , , , 39713 7267 21 that that DT 39713 7267 22 is be VBZ 39713 7267 23 to to TO 39713 7267 24 say say VB 39713 7267 25 that that IN 39713 7267 26 an an DT 39713 7267 27 _ _ NNP 39713 7267 28 isolated isolate VBD 39713 7267 29 _ _ NNP 39713 7267 30 electron electron NN 39713 7267 31 will will MD 39713 7267 32 have have VB 39713 7267 33 a a DT 39713 7267 34 straight straight JJ 39713 7267 35 and and CC 39713 7267 36 uniform uniform JJ 39713 7267 37 motion motion NN 39713 7267 38 . . . 39713 7268 1 At at IN 39713 7268 2 least least JJS 39713 7268 3 this this DT 39713 7268 4 is be VBZ 39713 7268 5 generally generally RB 39713 7268 6 assumed assume VBN 39713 7268 7 ; ; : 39713 7268 8 however however RB 39713 7268 9 , , , 39713 7268 10 Lindemann Lindemann NNP 39713 7268 11 has have VBZ 39713 7268 12 made make VBN 39713 7268 13 objections objection NNS 39713 7268 14 to to IN 39713 7268 15 this this DT 39713 7268 16 view view NN 39713 7268 17 ; ; : 39713 7268 18 I -PRON- PRP 39713 7268 19 do do VBP 39713 7268 20 not not RB 39713 7268 21 wish wish VB 39713 7268 22 to to TO 39713 7268 23 take take VB 39713 7268 24 part part NN 39713 7268 25 in in IN 39713 7268 26 this this DT 39713 7268 27 discussion discussion NN 39713 7268 28 , , , 39713 7268 29 which which WDT 39713 7268 30 I -PRON- PRP 39713 7268 31 can can MD 39713 7268 32 not not RB 39713 7268 33 here here RB 39713 7268 34 expound expound JJ 39713 7268 35 because because IN 39713 7268 36 of of IN 39713 7268 37 its -PRON- PRP$ 39713 7268 38 too too RB 39713 7268 39 difficult difficult JJ 39713 7268 40 character character NN 39713 7268 41 . . . 39713 7269 1 In in IN 39713 7269 2 any any DT 39713 7269 3 case case NN 39713 7269 4 , , , 39713 7269 5 slight slight JJ 39713 7269 6 modifications modification NNS 39713 7269 7 to to IN 39713 7269 8 the the DT 39713 7269 9 theory theory NN 39713 7269 10 would would MD 39713 7269 11 suffice suffice VB 39713 7269 12 to to TO 39713 7269 13 shelter shelter VB 39713 7269 14 it -PRON- PRP 39713 7269 15 from from IN 39713 7269 16 Lindemann Lindemann NNP 39713 7269 17 's 's POS 39713 7269 18 objections objection NNS 39713 7269 19 . . . 39713 7270 1 We -PRON- PRP 39713 7270 2 know know VBP 39713 7270 3 that that IN 39713 7270 4 a a DT 39713 7270 5 body body NN 39713 7270 6 submerged submerge VBN 39713 7270 7 in in IN 39713 7270 8 a a DT 39713 7270 9 fluid fluid JJ 39713 7270 10 experiences experience NNS 39713 7270 11 , , , 39713 7270 12 when when WRB 39713 7270 13 in in IN 39713 7270 14 motion motion NN 39713 7270 15 , , , 39713 7270 16 considerable considerable JJ 39713 7270 17 resistance resistance NN 39713 7270 18 , , , 39713 7270 19 but but CC 39713 7270 20 this this DT 39713 7270 21 is be VBZ 39713 7270 22 because because IN 39713 7270 23 our -PRON- PRP$ 39713 7270 24 fluids fluid NNS 39713 7270 25 are be VBP 39713 7270 26 viscous viscous JJ 39713 7270 27 ; ; : 39713 7270 28 in in IN 39713 7270 29 an an DT 39713 7270 30 ideal ideal JJ 39713 7270 31 fluid fluid NN 39713 7270 32 , , , 39713 7270 33 perfectly perfectly RB 39713 7270 34 free free JJ 39713 7270 35 from from IN 39713 7270 36 viscosity viscosity NN 39713 7270 37 , , , 39713 7270 38 the the DT 39713 7270 39 body body NN 39713 7270 40 would would MD 39713 7270 41 stir stir VB 39713 7270 42 up up RP 39713 7270 43 behind behind IN 39713 7270 44 it -PRON- PRP 39713 7270 45 a a DT 39713 7270 46 liquid liquid JJ 39713 7270 47 hill hill NN 39713 7270 48 , , , 39713 7270 49 a a DT 39713 7270 50 sort sort NN 39713 7270 51 of of IN 39713 7270 52 wake wake NN 39713 7270 53 ; ; : 39713 7270 54 upon upon IN 39713 7270 55 departure departure NN 39713 7270 56 , , , 39713 7270 57 a a DT 39713 7270 58 great great JJ 39713 7270 59 effort effort NN 39713 7270 60 would would MD 39713 7270 61 be be VB 39713 7270 62 necessary necessary JJ 39713 7270 63 to to TO 39713 7270 64 put put VB 39713 7270 65 it -PRON- PRP 39713 7270 66 in in IN 39713 7270 67 motion motion NN 39713 7270 68 , , , 39713 7270 69 since since IN 39713 7270 70 it -PRON- PRP 39713 7270 71 would would MD 39713 7270 72 be be VB 39713 7270 73 necessary necessary JJ 39713 7270 74 to to TO 39713 7270 75 move move VB 39713 7270 76 not not RB 39713 7270 77 only only RB 39713 7270 78 the the DT 39713 7270 79 body body NN 39713 7270 80 itself -PRON- PRP 39713 7270 81 , , , 39713 7270 82 but but CC 39713 7270 83 the the DT 39713 7270 84 liquid liquid NN 39713 7270 85 of of IN 39713 7270 86 its -PRON- PRP$ 39713 7270 87 wake wake NN 39713 7270 88 . . . 39713 7271 1 But but CC 39713 7271 2 , , , 39713 7271 3 the the DT 39713 7271 4 motion motion NN 39713 7271 5 once once RB 39713 7271 6 acquired acquire VBD 39713 7271 7 , , , 39713 7271 8 it -PRON- PRP 39713 7271 9 would would MD 39713 7271 10 perpetuate perpetuate VB 39713 7271 11 itself -PRON- PRP 39713 7271 12 without without IN 39713 7271 13 resistance resistance NN 39713 7271 14 , , , 39713 7271 15 since since IN 39713 7271 16 the the DT 39713 7271 17 body body NN 39713 7271 18 , , , 39713 7271 19 in in IN 39713 7271 20 advancing advance VBG 39713 7271 21 , , , 39713 7271 22 would would MD 39713 7271 23 simply simply RB 39713 7271 24 carry carry VB 39713 7271 25 with with IN 39713 7271 26 it -PRON- PRP 39713 7271 27 the the DT 39713 7271 28 perturbation perturbation NN 39713 7271 29 of of IN 39713 7271 30 the the DT 39713 7271 31 liquid liquid NN 39713 7271 32 , , , 39713 7271 33 without without IN 39713 7271 34 the the DT 39713 7271 35 total total JJ 39713 7271 36 vis vis FW 39713 7271 37 viva viva FW 39713 7271 38 of of IN 39713 7271 39 the the DT 39713 7271 40 liquid liquid NN 39713 7271 41 augmenting augmenting NN 39713 7271 42 . . . 39713 7272 1 Everything everything NN 39713 7272 2 would would MD 39713 7272 3 happen happen VB 39713 7272 4 therefore therefore RB 39713 7272 5 as as IN 39713 7272 6 if if IN 39713 7272 7 its -PRON- PRP$ 39713 7272 8 inertia inertia NN 39713 7272 9 was be VBD 39713 7272 10 augmented augment VBN 39713 7272 11 . . . 39713 7273 1 An an DT 39713 7273 2 electron electron NN 39713 7273 3 advancing advance VBG 39713 7273 4 in in IN 39713 7273 5 the the DT 39713 7273 6 ether ether NN 39713 7273 7 would would MD 39713 7273 8 behave behave VB 39713 7273 9 in in IN 39713 7273 10 the the DT 39713 7273 11 same same JJ 39713 7273 12 way way NN 39713 7273 13 : : : 39713 7273 14 around around IN 39713 7273 15 it -PRON- PRP 39713 7273 16 , , , 39713 7273 17 the the DT 39713 7273 18 ether ether NN 39713 7273 19 would would MD 39713 7273 20 be be VB 39713 7273 21 stirred stir VBN 39713 7273 22 up up RP 39713 7273 23 , , , 39713 7273 24 but but CC 39713 7273 25 this this DT 39713 7273 26 perturbation perturbation NN 39713 7273 27 would would MD 39713 7273 28 accompany accompany VB 39713 7273 29 the the DT 39713 7273 30 body body NN 39713 7273 31 in in IN 39713 7273 32 its -PRON- PRP$ 39713 7273 33 motion motion NN 39713 7273 34 ; ; : 39713 7273 35 so so IN 39713 7273 36 that that IN 39713 7273 37 , , , 39713 7273 38 for for IN 39713 7273 39 an an DT 39713 7273 40 observer observer NN 39713 7273 41 carried carry VBN 39713 7273 42 along along RB 39713 7273 43 with with IN 39713 7273 44 the the DT 39713 7273 45 electron electron NN 39713 7273 46 , , , 39713 7273 47 the the DT 39713 7273 48 electric electric JJ 39713 7273 49 and and CC 39713 7273 50 magnetic magnetic JJ 39713 7273 51 fields field NNS 39713 7273 52 accompanying accompany VBG 39713 7273 53 this this DT 39713 7273 54 electron electron NN 39713 7273 55 would would MD 39713 7273 56 appear appear VB 39713 7273 57 invariable invariable JJ 39713 7273 58 , , , 39713 7273 59 and and CC 39713 7273 60 would would MD 39713 7273 61 change change VB 39713 7273 62 only only RB 39713 7273 63 if if IN 39713 7273 64 the the DT 39713 7273 65 velocity velocity NN 39713 7273 66 of of IN 39713 7273 67 the the DT 39713 7273 68 electron electron NNP 39713 7273 69 varied vary VBD 39713 7273 70 . . . 39713 7274 1 An an DT 39713 7274 2 effort effort NN 39713 7274 3 would would MD 39713 7274 4 therefore therefore RB 39713 7274 5 be be VB 39713 7274 6 necessary necessary JJ 39713 7274 7 to to TO 39713 7274 8 put put VB 39713 7274 9 the the DT 39713 7274 10 electron electron NN 39713 7274 11 in in IN 39713 7274 12 motion motion NN 39713 7274 13 , , , 39713 7274 14 since since IN 39713 7274 15 it -PRON- PRP 39713 7274 16 would would MD 39713 7274 17 be be VB 39713 7274 18 necessary necessary JJ 39713 7274 19 to to TO 39713 7274 20 create create VB 39713 7274 21 the the DT 39713 7274 22 energy energy NN 39713 7274 23 of of IN 39713 7274 24 these these DT 39713 7274 25 fields field NNS 39713 7274 26 ; ; : 39713 7274 27 on on IN 39713 7274 28 the the DT 39713 7274 29 contrary contrary NN 39713 7274 30 , , , 39713 7274 31 once once RB 39713 7274 32 the the DT 39713 7274 33 movement movement NN 39713 7274 34 acquired acquire VBD 39713 7274 35 , , , 39713 7274 36 no no DT 39713 7274 37 effort effort NN 39713 7274 38 would would MD 39713 7274 39 be be VB 39713 7274 40 necessary necessary JJ 39713 7274 41 to to TO 39713 7274 42 maintain maintain VB 39713 7274 43 it -PRON- PRP 39713 7274 44 , , , 39713 7274 45 since since IN 39713 7274 46 the the DT 39713 7274 47 created create VBN 39713 7274 48 energy energy NN 39713 7274 49 would would MD 39713 7274 50 only only RB 39713 7274 51 have have VB 39713 7274 52 to to TO 39713 7274 53 go go VB 39713 7274 54 along along RP 39713 7274 55 behind behind IN 39713 7274 56 the the DT 39713 7274 57 electron electron NN 39713 7274 58 as as IN 39713 7274 59 a a DT 39713 7274 60 wake wake NN 39713 7274 61 . . . 39713 7275 1 This this DT 39713 7275 2 energy energy NN 39713 7275 3 , , , 39713 7275 4 therefore therefore RB 39713 7275 5 , , , 39713 7275 6 could could MD 39713 7275 7 only only RB 39713 7275 8 augment augment VB 39713 7275 9 the the DT 39713 7275 10 inertia inertia NN 39713 7275 11 of of IN 39713 7275 12 the the DT 39713 7275 13 electron electron NN 39713 7275 14 , , , 39713 7275 15 as as IN 39713 7275 16 the the DT 39713 7275 17 agitation agitation NN 39713 7275 18 of of IN 39713 7275 19 the the DT 39713 7275 20 liquid liquid JJ 39713 7275 21 augments augment NNS 39713 7275 22 that that DT 39713 7275 23 of of IN 39713 7275 24 the the DT 39713 7275 25 body body NN 39713 7275 26 submerged submerge VBN 39713 7275 27 in in IN 39713 7275 28 a a DT 39713 7275 29 perfect perfect JJ 39713 7275 30 fluid fluid NN 39713 7275 31 . . . 39713 7276 1 And and CC 39713 7276 2 anyhow anyhow RB 39713 7276 3 , , , 39713 7276 4 the the DT 39713 7276 5 negative negative JJ 39713 7276 6 electrons electron NNS 39713 7276 7 at at IN 39713 7276 8 least least JJS 39713 7276 9 have have VBP 39713 7276 10 no no DT 39713 7276 11 other other JJ 39713 7276 12 inertia inertia NN 39713 7276 13 except except IN 39713 7276 14 that that DT 39713 7276 15 . . . 39713 7277 1 In in IN 39713 7277 2 the the DT 39713 7277 3 hypothesis hypothesis NN 39713 7277 4 of of IN 39713 7277 5 Lorentz Lorentz NNP 39713 7277 6 , , , 39713 7277 7 the the DT 39713 7277 8 vis vis FW 39713 7277 9 viva viva FW 39713 7277 10 , , , 39713 7277 11 which which WDT 39713 7277 12 is be VBZ 39713 7277 13 only only RB 39713 7277 14 the the DT 39713 7277 15 energy energy NN 39713 7277 16 of of IN 39713 7277 17 the the DT 39713 7277 18 ether ether NN 39713 7277 19 , , , 39713 7277 20 is be VBZ 39713 7277 21 not not RB 39713 7277 22 proportional proportional JJ 39713 7277 23 to to IN 39713 7277 24 _ _ NNP 39713 7277 25 v_^{2 v_^{2 NNP 39713 7277 26 } } -RRB- 39713 7277 27 . . . 39713 7278 1 Doubtless doubtless RB 39713 7278 2 if if IN 39713 7278 3 _ _ NNP 39713 7278 4 v v NNP 39713 7278 5 _ _ NNP 39713 7278 6 is be VBZ 39713 7278 7 very very RB 39713 7278 8 slight slight JJ 39713 7278 9 , , , 39713 7278 10 the the DT 39713 7278 11 vis vis FW 39713 7278 12 viva viva FW 39713 7278 13 is be VBZ 39713 7278 14 sensibly sensibly RB 39713 7278 15 proportional proportional JJ 39713 7278 16 to to IN 39713 7278 17 _ _ NNP 39713 7278 18 v_^{2 v_^{2 NNP 39713 7278 19 } } -RRB- 39713 7278 20 , , , 39713 7278 21 the the DT 39713 7278 22 quantity quantity NN 39713 7278 23 of of IN 39713 7278 24 motion motion NN 39713 7278 25 sensibly sensibly RB 39713 7278 26 proportional proportional JJ 39713 7278 27 to to IN 39713 7278 28 _ _ NNP 39713 7278 29 v v NNP 39713 7278 30 _ _ NNP 39713 7278 31 , , , 39713 7278 32 the the DT 39713 7278 33 two two CD 39713 7278 34 masses masse NNS 39713 7278 35 sensibly sensibly RB 39713 7278 36 constant constant JJ 39713 7278 37 and and CC 39713 7278 38 equal equal JJ 39713 7278 39 to to IN 39713 7278 40 each each DT 39713 7278 41 other other JJ 39713 7278 42 . . . 39713 7279 1 But but CC 39713 7279 2 _ _ NNP 39713 7279 3 when when WRB 39713 7279 4 the the DT 39713 7279 5 velocity velocity NN 39713 7279 6 tends tend VBZ 39713 7279 7 toward toward IN 39713 7279 8 the the DT 39713 7279 9 velocity velocity NN 39713 7279 10 of of IN 39713 7279 11 light light NN 39713 7279 12 , , , 39713 7279 13 the the DT 39713 7279 14 vis vis FW 39713 7279 15 viva viva FW 39713 7279 16 , , , 39713 7279 17 the the DT 39713 7279 18 quantity quantity NN 39713 7279 19 of of IN 39713 7279 20 motion motion NN 39713 7279 21 and and CC 39713 7279 22 the the DT 39713 7279 23 two two CD 39713 7279 24 masses masse NNS 39713 7279 25 increase increase VBP 39713 7279 26 beyond beyond RB 39713 7279 27 all all DT 39713 7279 28 limit limit NN 39713 7279 29 _ _ NNP 39713 7279 30 . . . 39713 7280 1 In in IN 39713 7280 2 the the DT 39713 7280 3 hypothesis hypothesis NN 39713 7280 4 of of IN 39713 7280 5 Abraham Abraham NNP 39713 7280 6 , , , 39713 7280 7 the the DT 39713 7280 8 expressions expression NNS 39713 7280 9 are be VBP 39713 7280 10 a a DT 39713 7280 11 little little RB 39713 7280 12 more more RBR 39713 7280 13 complicated complicated JJ 39713 7280 14 ; ; : 39713 7280 15 but but CC 39713 7280 16 what what WP 39713 7280 17 we -PRON- PRP 39713 7280 18 have have VBP 39713 7280 19 just just RB 39713 7280 20 said say VBN 39713 7280 21 remains remain VBZ 39713 7280 22 true true JJ 39713 7280 23 in in IN 39713 7280 24 essentials essential NNS 39713 7280 25 . . . 39713 7281 1 So so RB 39713 7281 2 the the DT 39713 7281 3 mass mass NN 39713 7281 4 , , , 39713 7281 5 the the DT 39713 7281 6 quantity quantity NN 39713 7281 7 of of IN 39713 7281 8 motion motion NN 39713 7281 9 , , , 39713 7281 10 the the DT 39713 7281 11 vis vis FW 39713 7281 12 viva viva FW 39713 7281 13 become become VBP 39713 7281 14 infinite infinite JJ 39713 7281 15 when when WRB 39713 7281 16 the the DT 39713 7281 17 velocity velocity NN 39713 7281 18 is be VBZ 39713 7281 19 equal equal JJ 39713 7281 20 to to IN 39713 7281 21 that that DT 39713 7281 22 of of IN 39713 7281 23 light light NN 39713 7281 24 . . . 39713 7282 1 Thence thence NN 39713 7282 2 results result VBZ 39713 7282 3 that that WDT 39713 7282 4 _ _ NNP 39713 7282 5 no no DT 39713 7282 6 body body NN 39713 7282 7 can can MD 39713 7282 8 attain attain VB 39713 7282 9 in in IN 39713 7282 10 any any DT 39713 7282 11 way way NN 39713 7282 12 a a DT 39713 7282 13 velocity velocity NN 39713 7282 14 beyond beyond IN 39713 7282 15 that that DT 39713 7282 16 of of IN 39713 7282 17 light light NN 39713 7282 18 _ _ NNP 39713 7282 19 . . . 39713 7283 1 And and CC 39713 7283 2 in in IN 39713 7283 3 fact fact NN 39713 7283 4 , , , 39713 7283 5 in in IN 39713 7283 6 proportion proportion NN 39713 7283 7 as as IN 39713 7283 8 its -PRON- PRP$ 39713 7283 9 velocity velocity NN 39713 7283 10 increases increase VBZ 39713 7283 11 , , , 39713 7283 12 its -PRON- PRP$ 39713 7283 13 mass mass NN 39713 7283 14 increases increase NNS 39713 7283 15 , , , 39713 7283 16 so so IN 39713 7283 17 that that IN 39713 7283 18 its -PRON- PRP$ 39713 7283 19 inertia inertia NN 39713 7283 20 opposes oppose VBZ 39713 7283 21 to to IN 39713 7283 22 any any DT 39713 7283 23 new new JJ 39713 7283 24 increase increase NN 39713 7283 25 of of IN 39713 7283 26 velocity velocity NN 39713 7283 27 a a DT 39713 7283 28 greater great JJR 39713 7283 29 and and CC 39713 7283 30 greater great JJR 39713 7283 31 obstacle obstacle NN 39713 7283 32 . . . 39713 7284 1 A a DT 39713 7284 2 question question NN 39713 7284 3 then then RB 39713 7284 4 suggests suggest VBZ 39713 7284 5 itself -PRON- PRP 39713 7284 6 : : : 39713 7284 7 let let VB 39713 7284 8 us -PRON- PRP 39713 7284 9 admit admit VB 39713 7284 10 the the DT 39713 7284 11 principle principle NN 39713 7284 12 of of IN 39713 7284 13 relativity relativity NN 39713 7284 14 ; ; : 39713 7284 15 an an DT 39713 7284 16 observer observer NN 39713 7284 17 in in IN 39713 7284 18 motion motion NN 39713 7284 19 would would MD 39713 7284 20 not not RB 39713 7284 21 have have VB 39713 7284 22 any any DT 39713 7284 23 means mean NNS 39713 7284 24 of of IN 39713 7284 25 perceiving perceive VBG 39713 7284 26 his -PRON- PRP$ 39713 7284 27 own own JJ 39713 7284 28 motion motion NN 39713 7284 29 . . . 39713 7285 1 If if IN 39713 7285 2 therefore therefore RB 39713 7285 3 no no DT 39713 7285 4 body body NN 39713 7285 5 in in IN 39713 7285 6 its -PRON- PRP$ 39713 7285 7 absolute absolute JJ 39713 7285 8 motion motion NN 39713 7285 9 can can MD 39713 7285 10 exceed exceed VB 39713 7285 11 the the DT 39713 7285 12 velocity velocity NN 39713 7285 13 of of IN 39713 7285 14 light light NN 39713 7285 15 , , , 39713 7285 16 but but CC 39713 7285 17 may may MD 39713 7285 18 approach approach VB 39713 7285 19 it -PRON- PRP 39713 7285 20 as as RB 39713 7285 21 nearly nearly RB 39713 7285 22 as as IN 39713 7285 23 you -PRON- PRP 39713 7285 24 choose choose VBP 39713 7285 25 , , , 39713 7285 26 it -PRON- PRP 39713 7285 27 should should MD 39713 7285 28 be be VB 39713 7285 29 the the DT 39713 7285 30 same same JJ 39713 7285 31 concerning concern VBG 39713 7285 32 its -PRON- PRP$ 39713 7285 33 relative relative JJ 39713 7285 34 motion motion NN 39713 7285 35 with with IN 39713 7285 36 reference reference NN 39713 7285 37 to to IN 39713 7285 38 our -PRON- PRP$ 39713 7285 39 observer observer NN 39713 7285 40 . . . 39713 7286 1 And and CC 39713 7286 2 then then RB 39713 7286 3 we -PRON- PRP 39713 7286 4 might may MD 39713 7286 5 be be VB 39713 7286 6 tempted tempt VBN 39713 7286 7 to to TO 39713 7286 8 reason reason VB 39713 7286 9 as as IN 39713 7286 10 follows follow VBZ 39713 7286 11 : : : 39713 7286 12 The the DT 39713 7286 13 observer observer NN 39713 7286 14 may may MD 39713 7286 15 attain attain VB 39713 7286 16 a a DT 39713 7286 17 velocity velocity NN 39713 7286 18 of of IN 39713 7286 19 200,000 200,000 CD 39713 7286 20 kilometers kilometer NNS 39713 7286 21 ; ; : 39713 7286 22 the the DT 39713 7286 23 body body NN 39713 7286 24 in in IN 39713 7286 25 its -PRON- PRP$ 39713 7286 26 relative relative JJ 39713 7286 27 motion motion NN 39713 7286 28 with with IN 39713 7286 29 reference reference NN 39713 7286 30 to to IN 39713 7286 31 the the DT 39713 7286 32 observer observer NN 39713 7286 33 may may MD 39713 7286 34 attain attain VB 39713 7286 35 the the DT 39713 7286 36 same same JJ 39713 7286 37 velocity velocity NN 39713 7286 38 ; ; : 39713 7286 39 its -PRON- PRP$ 39713 7286 40 absolute absolute JJ 39713 7286 41 velocity velocity NN 39713 7286 42 will will MD 39713 7286 43 then then RB 39713 7286 44 be be VB 39713 7286 45 400,000 400,000 CD 39713 7286 46 kilometers kilometer NNS 39713 7286 47 , , , 39713 7286 48 which which WDT 39713 7286 49 is be VBZ 39713 7286 50 impossible impossible JJ 39713 7286 51 , , , 39713 7286 52 since since IN 39713 7286 53 this this DT 39713 7286 54 is be VBZ 39713 7286 55 beyond beyond IN 39713 7286 56 the the DT 39713 7286 57 velocity velocity NN 39713 7286 58 of of IN 39713 7286 59 light light NN 39713 7286 60 . . . 39713 7287 1 This this DT 39713 7287 2 is be VBZ 39713 7287 3 only only RB 39713 7287 4 a a DT 39713 7287 5 seeming seeming JJ 39713 7287 6 , , , 39713 7287 7 which which WDT 39713 7287 8 vanishes vanish VBZ 39713 7287 9 when when WRB 39713 7287 10 account account NN 39713 7287 11 is be VBZ 39713 7287 12 taken take VBN 39713 7287 13 of of IN 39713 7287 14 how how WRB 39713 7287 15 Lorentz Lorentz NNP 39713 7287 16 evaluates evaluate VBZ 39713 7287 17 local local JJ 39713 7287 18 time time NN 39713 7287 19 . . . 39713 7288 1 VII VII NNP 39713 7288 2 _ _ NNP 39713 7288 3 The the DT 39713 7288 4 Wave Wave NNP 39713 7288 5 of of IN 39713 7288 6 Acceleration Acceleration NNP 39713 7288 7 _ _ NNP 39713 7288 8 When when WRB 39713 7288 9 an an DT 39713 7288 10 electron electron NN 39713 7288 11 is be VBZ 39713 7288 12 in in IN 39713 7288 13 motion motion NN 39713 7288 14 , , , 39713 7288 15 it -PRON- PRP 39713 7288 16 produces produce VBZ 39713 7288 17 a a DT 39713 7288 18 perturbation perturbation NN 39713 7288 19 in in IN 39713 7288 20 the the DT 39713 7288 21 ether ether NN 39713 7288 22 surrounding surround VBG 39713 7288 23 it -PRON- PRP 39713 7288 24 ; ; : 39713 7288 25 if if IN 39713 7288 26 its -PRON- PRP$ 39713 7288 27 motion motion NN 39713 7288 28 is be VBZ 39713 7288 29 straight straight JJ 39713 7288 30 and and CC 39713 7288 31 uniform uniform JJ 39713 7288 32 , , , 39713 7288 33 this this DT 39713 7288 34 perturbation perturbation NN 39713 7288 35 reduces reduce VBZ 39713 7288 36 to to IN 39713 7288 37 the the DT 39713 7288 38 wake wake NN 39713 7288 39 of of IN 39713 7288 40 which which WDT 39713 7288 41 we -PRON- PRP 39713 7288 42 have have VBP 39713 7288 43 spoken speak VBN 39713 7288 44 in in IN 39713 7288 45 the the DT 39713 7288 46 preceding precede VBG 39713 7288 47 section section NN 39713 7288 48 . . . 39713 7289 1 But but CC 39713 7289 2 it -PRON- PRP 39713 7289 3 is be VBZ 39713 7289 4 no no RB 39713 7289 5 longer long RBR 39713 7289 6 the the DT 39713 7289 7 same same JJ 39713 7289 8 , , , 39713 7289 9 if if IN 39713 7289 10 the the DT 39713 7289 11 motion motion NN 39713 7289 12 be be VBP 39713 7289 13 curvilinear curvilinear JJ 39713 7289 14 or or CC 39713 7289 15 varied varied JJ 39713 7289 16 . . . 39713 7290 1 The the DT 39713 7290 2 perturbation perturbation NN 39713 7290 3 may may MD 39713 7290 4 then then RB 39713 7290 5 be be VB 39713 7290 6 regarded regard VBN 39713 7290 7 as as IN 39713 7290 8 the the DT 39713 7290 9 superposition superposition NN 39713 7290 10 of of IN 39713 7290 11 two two CD 39713 7290 12 others other NNS 39713 7290 13 , , , 39713 7290 14 to to TO 39713 7290 15 which which WDT 39713 7290 16 Langevin Langevin NNP 39713 7290 17 has have VBZ 39713 7290 18 given give VBN 39713 7290 19 the the DT 39713 7290 20 names name NNS 39713 7290 21 _ _ NNP 39713 7290 22 wave wave NN 39713 7290 23 of of IN 39713 7290 24 velocity velocity NN 39713 7290 25 _ _ NNP 39713 7290 26 and and CC 39713 7290 27 _ _ NNP 39713 7290 28 wave wave NN 39713 7290 29 of of IN 39713 7290 30 acceleration acceleration NN 39713 7290 31 _ _ NNP 39713 7290 32 . . . 39713 7291 1 The the DT 39713 7291 2 wave wave NN 39713 7291 3 of of IN 39713 7291 4 velocity velocity NN 39713 7291 5 is be VBZ 39713 7291 6 only only RB 39713 7291 7 the the DT 39713 7291 8 wave wave NN 39713 7291 9 which which WDT 39713 7291 10 happens happen VBZ 39713 7291 11 in in IN 39713 7291 12 uniform uniform JJ 39713 7291 13 motion motion NN 39713 7291 14 . . . 39713 7292 1 As as IN 39713 7292 2 to to IN 39713 7292 3 the the DT 39713 7292 4 wave wave NN 39713 7292 5 of of IN 39713 7292 6 acceleration acceleration NN 39713 7292 7 , , , 39713 7292 8 this this DT 39713 7292 9 is be VBZ 39713 7292 10 a a DT 39713 7292 11 perturbation perturbation NN 39713 7292 12 altogether altogether RB 39713 7292 13 analogous analogous JJ 39713 7292 14 to to IN 39713 7292 15 light light VB 39713 7292 16 waves wave NNS 39713 7292 17 , , , 39713 7292 18 which which WDT 39713 7292 19 starts start VBZ 39713 7292 20 from from IN 39713 7292 21 the the DT 39713 7292 22 electron electron NN 39713 7292 23 at at IN 39713 7292 24 the the DT 39713 7292 25 instant instant NN 39713 7292 26 when when WRB 39713 7292 27 it -PRON- PRP 39713 7292 28 undergoes undergo VBZ 39713 7292 29 an an DT 39713 7292 30 acceleration acceleration NN 39713 7292 31 , , , 39713 7292 32 and and CC 39713 7292 33 which which WDT 39713 7292 34 is be VBZ 39713 7292 35 then then RB 39713 7292 36 propagated propagate VBN 39713 7292 37 by by IN 39713 7292 38 successive successive JJ 39713 7292 39 spherical spherical JJ 39713 7292 40 waves wave NNS 39713 7292 41 with with IN 39713 7292 42 the the DT 39713 7292 43 velocity velocity NN 39713 7292 44 of of IN 39713 7292 45 light light NN 39713 7292 46 . . . 39713 7293 1 Whence whence NN 39713 7293 2 follows follow VBZ 39713 7293 3 : : : 39713 7293 4 in in IN 39713 7293 5 a a DT 39713 7293 6 straight straight JJ 39713 7293 7 and and CC 39713 7293 8 uniform uniform JJ 39713 7293 9 motion motion NN 39713 7293 10 , , , 39713 7293 11 the the DT 39713 7293 12 energy energy NN 39713 7293 13 is be VBZ 39713 7293 14 wholly wholly RB 39713 7293 15 conserved conserve VBN 39713 7293 16 ; ; : 39713 7293 17 but but CC 39713 7293 18 , , , 39713 7293 19 when when WRB 39713 7293 20 there there EX 39713 7293 21 is be VBZ 39713 7293 22 an an DT 39713 7293 23 acceleration acceleration NN 39713 7293 24 , , , 39713 7293 25 there there EX 39713 7293 26 is be VBZ 39713 7293 27 loss loss NN 39713 7293 28 of of IN 39713 7293 29 energy energy NN 39713 7293 30 , , , 39713 7293 31 which which WDT 39713 7293 32 is be VBZ 39713 7293 33 dissipated dissipate VBN 39713 7293 34 under under IN 39713 7293 35 the the DT 39713 7293 36 form form NN 39713 7293 37 of of IN 39713 7293 38 luminous luminous JJ 39713 7293 39 waves wave NNS 39713 7293 40 and and CC 39713 7293 41 goes go VBZ 39713 7293 42 out out RP 39713 7293 43 to to IN 39713 7293 44 infinity infinity NN 39713 7293 45 across across IN 39713 7293 46 the the DT 39713 7293 47 ether ether NN 39713 7293 48 . . . 39713 7294 1 However however RB 39713 7294 2 , , , 39713 7294 3 the the DT 39713 7294 4 effects effect NNS 39713 7294 5 of of IN 39713 7294 6 this this DT 39713 7294 7 wave wave NN 39713 7294 8 of of IN 39713 7294 9 acceleration acceleration NN 39713 7294 10 , , , 39713 7294 11 in in IN 39713 7294 12 particular particular JJ 39713 7294 13 the the DT 39713 7294 14 corresponding corresponding JJ 39713 7294 15 loss loss NN 39713 7294 16 of of IN 39713 7294 17 energy energy NN 39713 7294 18 , , , 39713 7294 19 are be VBP 39713 7294 20 in in IN 39713 7294 21 most most JJS 39713 7294 22 cases case NNS 39713 7294 23 negligible negligible JJ 39713 7294 24 , , , 39713 7294 25 that that DT 39713 7294 26 is be VBZ 39713 7294 27 to to TO 39713 7294 28 say say VB 39713 7294 29 not not RB 39713 7294 30 only only RB 39713 7294 31 in in IN 39713 7294 32 ordinary ordinary JJ 39713 7294 33 mechanics mechanic NNS 39713 7294 34 and and CC 39713 7294 35 in in IN 39713 7294 36 the the DT 39713 7294 37 motions motion NNS 39713 7294 38 of of IN 39713 7294 39 the the DT 39713 7294 40 heavenly heavenly JJ 39713 7294 41 bodies body NNS 39713 7294 42 , , , 39713 7294 43 but but CC 39713 7294 44 even even RB 39713 7294 45 in in IN 39713 7294 46 the the DT 39713 7294 47 radium radium NN 39713 7294 48 rays ray NNS 39713 7294 49 , , , 39713 7294 50 where where WRB 39713 7294 51 the the DT 39713 7294 52 velocity velocity NN 39713 7294 53 is be VBZ 39713 7294 54 very very RB 39713 7294 55 great great JJ 39713 7294 56 without without IN 39713 7294 57 the the DT 39713 7294 58 acceleration acceleration NN 39713 7294 59 being be VBG 39713 7294 60 so so RB 39713 7294 61 . . . 39713 7295 1 We -PRON- PRP 39713 7295 2 may may MD 39713 7295 3 then then RB 39713 7295 4 confine confine VB 39713 7295 5 ourselves -PRON- PRP 39713 7295 6 to to IN 39713 7295 7 applying apply VBG 39713 7295 8 the the DT 39713 7295 9 laws law NNS 39713 7295 10 of of IN 39713 7295 11 mechanics mechanic NNS 39713 7295 12 , , , 39713 7295 13 putting put VBG 39713 7295 14 the the DT 39713 7295 15 force force NN 39713 7295 16 equal equal JJ 39713 7295 17 to to IN 39713 7295 18 the the DT 39713 7295 19 product product NN 39713 7295 20 of of IN 39713 7295 21 acceleration acceleration NN 39713 7295 22 by by IN 39713 7295 23 mass mass NNP 39713 7295 24 , , , 39713 7295 25 this this DT 39713 7295 26 mass mass NN 39713 7295 27 , , , 39713 7295 28 however however RB 39713 7295 29 , , , 39713 7295 30 varying vary VBG 39713 7295 31 with with IN 39713 7295 32 the the DT 39713 7295 33 velocity velocity NN 39713 7295 34 according accord VBG 39713 7295 35 to to IN 39713 7295 36 the the DT 39713 7295 37 laws law NNS 39713 7295 38 explained explain VBN 39713 7295 39 above above RB 39713 7295 40 . . . 39713 7296 1 We -PRON- PRP 39713 7296 2 then then RB 39713 7296 3 say say VBP 39713 7296 4 the the DT 39713 7296 5 motion motion NN 39713 7296 6 is be VBZ 39713 7296 7 _ _ NNP 39713 7296 8 quasi quasi JJ 39713 7296 9 - - JJ 39713 7296 10 stationary stationary JJ 39713 7296 11 _ _ NNP 39713 7296 12 . . . 39713 7297 1 It -PRON- PRP 39713 7297 2 would would MD 39713 7297 3 not not RB 39713 7297 4 be be VB 39713 7297 5 the the DT 39713 7297 6 same same JJ 39713 7297 7 in in IN 39713 7297 8 all all DT 39713 7297 9 cases case NNS 39713 7297 10 where where WRB 39713 7297 11 the the DT 39713 7297 12 acceleration acceleration NN 39713 7297 13 is be VBZ 39713 7297 14 great great JJ 39713 7297 15 , , , 39713 7297 16 of of IN 39713 7297 17 which which WDT 39713 7297 18 the the DT 39713 7297 19 chief chief NN 39713 7297 20 are be VBP 39713 7297 21 the the DT 39713 7297 22 following follow VBG 39713 7297 23 : : : 39713 7297 24 1º 1º NNS 39713 7297 25 In in IN 39713 7297 26 incandescent incandescent NN 39713 7297 27 gases gas NNS 39713 7297 28 certain certain JJ 39713 7297 29 electrons electron NNS 39713 7297 30 take take VBP 39713 7297 31 an an DT 39713 7297 32 oscillatory oscillatory JJ 39713 7297 33 motion motion NN 39713 7297 34 of of IN 39713 7297 35 very very RB 39713 7297 36 high high JJ 39713 7297 37 frequency frequency NN 39713 7297 38 ; ; : 39713 7297 39 the the DT 39713 7297 40 displacements displacement NNS 39713 7297 41 are be VBP 39713 7297 42 very very RB 39713 7297 43 small small JJ 39713 7297 44 , , , 39713 7297 45 the the DT 39713 7297 46 velocities velocity NNS 39713 7297 47 are be VBP 39713 7297 48 finite finite JJ 39713 7297 49 , , , 39713 7297 50 and and CC 39713 7297 51 the the DT 39713 7297 52 accelerations acceleration NNS 39713 7297 53 very very RB 39713 7297 54 great great JJ 39713 7297 55 ; ; : 39713 7297 56 energy energy NN 39713 7297 57 is be VBZ 39713 7297 58 then then RB 39713 7297 59 communicated communicate VBN 39713 7297 60 to to IN 39713 7297 61 the the DT 39713 7297 62 ether ether NN 39713 7297 63 , , , 39713 7297 64 and and CC 39713 7297 65 this this DT 39713 7297 66 is be VBZ 39713 7297 67 why why WRB 39713 7297 68 these these DT 39713 7297 69 gases gas NNS 39713 7297 70 radiate radiate VBP 39713 7297 71 light light NN 39713 7297 72 of of IN 39713 7297 73 the the DT 39713 7297 74 same same JJ 39713 7297 75 period period NN 39713 7297 76 as as IN 39713 7297 77 the the DT 39713 7297 78 oscillations oscillation NNS 39713 7297 79 of of IN 39713 7297 80 the the DT 39713 7297 81 electron electron NN 39713 7297 82 ; ; : 39713 7297 83 2º 2º NNS 39713 7297 84 Inversely inversely RB 39713 7297 85 , , , 39713 7297 86 when when WRB 39713 7297 87 a a DT 39713 7297 88 gas gas NN 39713 7297 89 receives receive VBZ 39713 7297 90 light light NN 39713 7297 91 , , , 39713 7297 92 these these DT 39713 7297 93 same same JJ 39713 7297 94 electrons electron NNS 39713 7297 95 are be VBP 39713 7297 96 put put VBN 39713 7297 97 in in IN 39713 7297 98 swing swing NN 39713 7297 99 with with IN 39713 7297 100 strong strong JJ 39713 7297 101 accelerations acceleration NNS 39713 7297 102 and and CC 39713 7297 103 they -PRON- PRP 39713 7297 104 absorb absorb VBP 39713 7297 105 light light NN 39713 7297 106 ; ; : 39713 7297 107 3º 3º LS 39713 7297 108 In in IN 39713 7297 109 the the DT 39713 7297 110 Hertz Hertz NNP 39713 7297 111 discharger discharger NN 39713 7297 112 , , , 39713 7297 113 the the DT 39713 7297 114 electrons electron NNS 39713 7297 115 which which WDT 39713 7297 116 circulate circulate VBP 39713 7297 117 in in IN 39713 7297 118 the the DT 39713 7297 119 metallic metallic JJ 39713 7297 120 mass mass NN 39713 7297 121 undergo undergo NN 39713 7297 122 , , , 39713 7297 123 at at IN 39713 7297 124 the the DT 39713 7297 125 instant instant NN 39713 7297 126 of of IN 39713 7297 127 the the DT 39713 7297 128 discharge discharge NN 39713 7297 129 , , , 39713 7297 130 an an DT 39713 7297 131 abrupt abrupt JJ 39713 7297 132 acceleration acceleration NN 39713 7297 133 and and CC 39713 7297 134 take take VB 39713 7297 135 then then RB 39713 7297 136 an an DT 39713 7297 137 oscillatory oscillatory JJ 39713 7297 138 motion motion NN 39713 7297 139 of of IN 39713 7297 140 high high JJ 39713 7297 141 frequency frequency NN 39713 7297 142 . . . 39713 7298 1 Thence thence NN 39713 7298 2 results result VBZ 39713 7298 3 that that IN 39713 7298 4 a a DT 39713 7298 5 part part NN 39713 7298 6 of of IN 39713 7298 7 the the DT 39713 7298 8 energy energy NN 39713 7298 9 radiates radiate NNS 39713 7298 10 under under IN 39713 7298 11 the the DT 39713 7298 12 form form NN 39713 7298 13 of of IN 39713 7298 14 Hertzian hertzian JJ 39713 7298 15 waves wave NNS 39713 7298 16 ; ; : 39713 7298 17 4º 4º NN 39713 7298 18 In in IN 39713 7298 19 an an DT 39713 7298 20 incandescent incandescent JJ 39713 7298 21 metal metal NN 39713 7298 22 , , , 39713 7298 23 the the DT 39713 7298 24 electrons electron NNS 39713 7298 25 enclosed enclose VBN 39713 7298 26 in in IN 39713 7298 27 this this DT 39713 7298 28 metal metal NN 39713 7298 29 are be VBP 39713 7298 30 impelled impel VBN 39713 7298 31 with with IN 39713 7298 32 great great JJ 39713 7298 33 velocity velocity NN 39713 7298 34 ; ; : 39713 7298 35 upon upon IN 39713 7298 36 reaching reach VBG 39713 7298 37 the the DT 39713 7298 38 surface surface NN 39713 7298 39 of of IN 39713 7298 40 the the DT 39713 7298 41 metal metal NN 39713 7298 42 , , , 39713 7298 43 which which WDT 39713 7298 44 they -PRON- PRP 39713 7298 45 can can MD 39713 7298 46 not not RB 39713 7298 47 get get VB 39713 7298 48 through through RP 39713 7298 49 , , , 39713 7298 50 they -PRON- PRP 39713 7298 51 are be VBP 39713 7298 52 reflected reflect VBN 39713 7298 53 and and CC 39713 7298 54 thus thus RB 39713 7298 55 undergo undergo VB 39713 7298 56 a a DT 39713 7298 57 considerable considerable JJ 39713 7298 58 acceleration acceleration NN 39713 7298 59 . . . 39713 7299 1 This this DT 39713 7299 2 is be VBZ 39713 7299 3 why why WRB 39713 7299 4 the the DT 39713 7299 5 metal metal NN 39713 7299 6 emits emit VBZ 39713 7299 7 light light JJ 39713 7299 8 . . . 39713 7300 1 The the DT 39713 7300 2 details detail NNS 39713 7300 3 of of IN 39713 7300 4 the the DT 39713 7300 5 laws law NNS 39713 7300 6 of of IN 39713 7300 7 the the DT 39713 7300 8 emission emission NN 39713 7300 9 of of IN 39713 7300 10 light light NN 39713 7300 11 by by IN 39713 7300 12 dark dark JJ 39713 7300 13 bodies body NNS 39713 7300 14 are be VBP 39713 7300 15 perfectly perfectly RB 39713 7300 16 explained explain VBN 39713 7300 17 by by IN 39713 7300 18 this this DT 39713 7300 19 hypothesis hypothesis NN 39713 7300 20 ; ; : 39713 7300 21 5º 5º CD 39713 7300 22 Finally finally RB 39713 7300 23 when when WRB 39713 7300 24 the the DT 39713 7300 25 cathode cathode NN 39713 7300 26 rays ray NNS 39713 7300 27 strike strike VBP 39713 7300 28 the the DT 39713 7300 29 anticathode anticathode NNP 39713 7300 30 , , , 39713 7300 31 the the DT 39713 7300 32 negative negative JJ 39713 7300 33 electrons electron NNS 39713 7300 34 , , , 39713 7300 35 constituting constitute VBG 39713 7300 36 these these DT 39713 7300 37 rays ray NNS 39713 7300 38 , , , 39713 7300 39 which which WDT 39713 7300 40 are be VBP 39713 7300 41 impelled impel VBN 39713 7300 42 with with IN 39713 7300 43 very very RB 39713 7300 44 great great JJ 39713 7300 45 velocity velocity NN 39713 7300 46 , , , 39713 7300 47 are be VBP 39713 7300 48 abruptly abruptly RB 39713 7300 49 arrested arrest VBN 39713 7300 50 . . . 39713 7301 1 Because because IN 39713 7301 2 of of IN 39713 7301 3 the the DT 39713 7301 4 acceleration acceleration NN 39713 7301 5 they -PRON- PRP 39713 7301 6 thus thus RB 39713 7301 7 undergo undergo VBP 39713 7301 8 , , , 39713 7301 9 they -PRON- PRP 39713 7301 10 produce produce VBP 39713 7301 11 undulations undulation NNS 39713 7301 12 in in IN 39713 7301 13 the the DT 39713 7301 14 ether ether NN 39713 7301 15 . . . 39713 7302 1 This this DT 39713 7302 2 , , , 39713 7302 3 according accord VBG 39713 7302 4 to to IN 39713 7302 5 certain certain JJ 39713 7302 6 physicists physicist NNS 39713 7302 7 , , , 39713 7302 8 is be VBZ 39713 7302 9 the the DT 39713 7302 10 origin origin NN 39713 7302 11 of of IN 39713 7302 12 the the DT 39713 7302 13 Röntgen Röntgen NNP 39713 7302 14 rays ray NNS 39713 7302 15 , , , 39713 7302 16 which which WDT 39713 7302 17 would would MD 39713 7302 18 only only RB 39713 7302 19 be be VB 39713 7302 20 light light JJ 39713 7302 21 rays ray NNS 39713 7302 22 of of IN 39713 7302 23 very very RB 39713 7302 24 short short JJ 39713 7302 25 wave wave NN 39713 7302 26 - - HYPH 39713 7302 27 length length NN 39713 7302 28 . . . 39713 7303 1 CHAPTER CHAPTER NNP 39713 7303 2 III III NNP 39713 7303 3 THE the DT 39713 7303 4 NEW new JJ 39713 7303 5 MECHANICS mechanic NNS 39713 7303 6 AND and CC 39713 7303 7 ASTRONOMY ASTRONOMY NNP 39713 7303 8 I -PRON- PRP 39713 7303 9 _ _ NNP 39713 7303 10 Gravitation Gravitation NNP 39713 7303 11 _ _ NNP 39713 7303 12 Mass Mass NNP 39713 7303 13 may may MD 39713 7303 14 be be VB 39713 7303 15 defined define VBN 39713 7303 16 in in IN 39713 7303 17 two two CD 39713 7303 18 ways way NNS 39713 7303 19 : : : 39713 7303 20 1º 1º NNS 39713 7303 21 By by IN 39713 7303 22 the the DT 39713 7303 23 quotient quotient NN 39713 7303 24 of of IN 39713 7303 25 the the DT 39713 7303 26 force force NN 39713 7303 27 by by IN 39713 7303 28 the the DT 39713 7303 29 acceleration acceleration NN 39713 7303 30 ; ; : 39713 7303 31 this this DT 39713 7303 32 is be VBZ 39713 7303 33 the the DT 39713 7303 34 true true JJ 39713 7303 35 definition definition NN 39713 7303 36 of of IN 39713 7303 37 the the DT 39713 7303 38 mass mass NN 39713 7303 39 , , , 39713 7303 40 which which WDT 39713 7303 41 measures measure VBZ 39713 7303 42 the the DT 39713 7303 43 inertia inertia NN 39713 7303 44 of of IN 39713 7303 45 the the DT 39713 7303 46 body body NN 39713 7303 47 . . . 39713 7304 1 2 2 CD 39713 7304 2 ° ° NNS 39713 7304 3 By by IN 39713 7304 4 the the DT 39713 7304 5 attraction attraction NN 39713 7304 6 the the DT 39713 7304 7 body body NN 39713 7304 8 exercises exercise VBZ 39713 7304 9 upon upon IN 39713 7304 10 an an DT 39713 7304 11 exterior exterior JJ 39713 7304 12 body body NN 39713 7304 13 , , , 39713 7304 14 in in IN 39713 7304 15 virtue virtue NN 39713 7304 16 of of IN 39713 7304 17 Newton Newton NNP 39713 7304 18 's 's POS 39713 7304 19 law law NN 39713 7304 20 . . . 39713 7305 1 We -PRON- PRP 39713 7305 2 should should MD 39713 7305 3 therefore therefore RB 39713 7305 4 distinguish distinguish VB 39713 7305 5 the the DT 39713 7305 6 mass mass JJ 39713 7305 7 coefficient coefficient NN 39713 7305 8 of of IN 39713 7305 9 inertia inertia NN 39713 7305 10 and and CC 39713 7305 11 the the DT 39713 7305 12 mass mass JJ 39713 7305 13 coefficient coefficient NN 39713 7305 14 of of IN 39713 7305 15 attraction attraction NN 39713 7305 16 . . . 39713 7306 1 According accord VBG 39713 7306 2 to to IN 39713 7306 3 Newton Newton NNP 39713 7306 4 's 's POS 39713 7306 5 law law NN 39713 7306 6 , , , 39713 7306 7 there there EX 39713 7306 8 is be VBZ 39713 7306 9 rigorous rigorous JJ 39713 7306 10 proportionality proportionality NN 39713 7306 11 between between IN 39713 7306 12 these these DT 39713 7306 13 two two CD 39713 7306 14 coefficients coefficient NNS 39713 7306 15 . . . 39713 7307 1 But but CC 39713 7307 2 that that DT 39713 7307 3 is be VBZ 39713 7307 4 demonstrated demonstrate VBN 39713 7307 5 only only RB 39713 7307 6 for for IN 39713 7307 7 velocities velocity NNS 39713 7307 8 to to TO 39713 7307 9 which which WDT 39713 7307 10 the the DT 39713 7307 11 general general JJ 39713 7307 12 principles principle NNS 39713 7307 13 of of IN 39713 7307 14 dynamics dynamic NNS 39713 7307 15 are be VBP 39713 7307 16 applicable applicable JJ 39713 7307 17 . . . 39713 7308 1 Now now RB 39713 7308 2 , , , 39713 7308 3 we -PRON- PRP 39713 7308 4 have have VBP 39713 7308 5 seen see VBN 39713 7308 6 that that IN 39713 7308 7 the the DT 39713 7308 8 mass mass JJ 39713 7308 9 coefficient coefficient NN 39713 7308 10 of of IN 39713 7308 11 inertia inertia NN 39713 7308 12 increases increase NNS 39713 7308 13 with with IN 39713 7308 14 the the DT 39713 7308 15 velocity velocity NN 39713 7308 16 ; ; : 39713 7308 17 should should MD 39713 7308 18 we -PRON- PRP 39713 7308 19 conclude conclude VB 39713 7308 20 that that IN 39713 7308 21 the the DT 39713 7308 22 mass mass JJ 39713 7308 23 coefficient coefficient NN 39713 7308 24 of of IN 39713 7308 25 attraction attraction NN 39713 7308 26 increases increase VBZ 39713 7308 27 likewise likewise RB 39713 7308 28 with with IN 39713 7308 29 the the DT 39713 7308 30 velocity velocity NN 39713 7308 31 and and CC 39713 7308 32 remains remain VBZ 39713 7308 33 proportional proportional JJ 39713 7308 34 to to IN 39713 7308 35 the the DT 39713 7308 36 coefficient coefficient NN 39713 7308 37 of of IN 39713 7308 38 inertia inertia NN 39713 7308 39 , , , 39713 7308 40 or or CC 39713 7308 41 , , , 39713 7308 42 on on IN 39713 7308 43 the the DT 39713 7308 44 contrary contrary NN 39713 7308 45 , , , 39713 7308 46 that that IN 39713 7308 47 this this DT 39713 7308 48 coefficient coefficient NN 39713 7308 49 of of IN 39713 7308 50 attraction attraction NN 39713 7308 51 remains remain VBZ 39713 7308 52 constant constant JJ 39713 7308 53 ? ? . 39713 7309 1 This this DT 39713 7309 2 is be VBZ 39713 7309 3 a a DT 39713 7309 4 question question NN 39713 7309 5 we -PRON- PRP 39713 7309 6 have have VBP 39713 7309 7 no no DT 39713 7309 8 means means NN 39713 7309 9 of of IN 39713 7309 10 deciding decide VBG 39713 7309 11 . . . 39713 7310 1 On on IN 39713 7310 2 the the DT 39713 7310 3 other other JJ 39713 7310 4 hand hand NN 39713 7310 5 , , , 39713 7310 6 if if IN 39713 7310 7 the the DT 39713 7310 8 coefficient coefficient NN 39713 7310 9 of of IN 39713 7310 10 attraction attraction NN 39713 7310 11 depends depend VBZ 39713 7310 12 upon upon IN 39713 7310 13 the the DT 39713 7310 14 velocity velocity NN 39713 7310 15 , , , 39713 7310 16 since since IN 39713 7310 17 the the DT 39713 7310 18 velocities velocity NNS 39713 7310 19 of of IN 39713 7310 20 two two CD 39713 7310 21 bodies body NNS 39713 7310 22 which which WDT 39713 7310 23 mutually mutually RB 39713 7310 24 attract attract VBP 39713 7310 25 are be VBP 39713 7310 26 not not RB 39713 7310 27 in in IN 39713 7310 28 general general JJ 39713 7310 29 the the DT 39713 7310 30 same same JJ 39713 7310 31 , , , 39713 7310 32 how how WRB 39713 7310 33 will will MD 39713 7310 34 this this DT 39713 7310 35 coefficient coefficient NN 39713 7310 36 depend depend VB 39713 7310 37 upon upon IN 39713 7310 38 these these DT 39713 7310 39 two two CD 39713 7310 40 velocities velocity NNS 39713 7310 41 ? ? . 39713 7311 1 Upon upon IN 39713 7311 2 this this DT 39713 7311 3 subject subject NN 39713 7311 4 we -PRON- PRP 39713 7311 5 can can MD 39713 7311 6 only only RB 39713 7311 7 make make VB 39713 7311 8 hypotheses hypothesis NNS 39713 7311 9 , , , 39713 7311 10 but but CC 39713 7311 11 we -PRON- PRP 39713 7311 12 are be VBP 39713 7311 13 naturally naturally RB 39713 7311 14 led lead VBN 39713 7311 15 to to TO 39713 7311 16 investigate investigate VB 39713 7311 17 which which WDT 39713 7311 18 of of IN 39713 7311 19 these these DT 39713 7311 20 hypotheses hypothesis NNS 39713 7311 21 would would MD 39713 7311 22 be be VB 39713 7311 23 compatible compatible JJ 39713 7311 24 with with IN 39713 7311 25 the the DT 39713 7311 26 principle principle NN 39713 7311 27 of of IN 39713 7311 28 relativity relativity NN 39713 7311 29 . . . 39713 7312 1 There there EX 39713 7312 2 are be VBP 39713 7312 3 a a DT 39713 7312 4 great great JJ 39713 7312 5 number number NN 39713 7312 6 of of IN 39713 7312 7 them -PRON- PRP 39713 7312 8 ; ; : 39713 7312 9 the the DT 39713 7312 10 only only JJ 39713 7312 11 one one CD 39713 7312 12 of of IN 39713 7312 13 which which WDT 39713 7312 14 I -PRON- PRP 39713 7312 15 shall shall MD 39713 7312 16 here here RB 39713 7312 17 speak speak VB 39713 7312 18 is be VBZ 39713 7312 19 that that DT 39713 7312 20 of of IN 39713 7312 21 Lorentz Lorentz NNP 39713 7312 22 , , , 39713 7312 23 which which WDT 39713 7312 24 I -PRON- PRP 39713 7312 25 shall shall MD 39713 7312 26 briefly briefly RB 39713 7312 27 expound expound VB 39713 7312 28 . . . 39713 7313 1 Consider consider VB 39713 7313 2 first first JJ 39713 7313 3 electrons electron NNS 39713 7313 4 at at IN 39713 7313 5 rest rest NN 39713 7313 6 . . . 39713 7314 1 Two two CD 39713 7314 2 electrons electron NNS 39713 7314 3 of of IN 39713 7314 4 the the DT 39713 7314 5 same same JJ 39713 7314 6 sign sign NN 39713 7314 7 repel repel NN 39713 7314 8 each each DT 39713 7314 9 other other JJ 39713 7314 10 and and CC 39713 7314 11 two two CD 39713 7314 12 electrons electron NNS 39713 7314 13 of of IN 39713 7314 14 contrary contrary JJ 39713 7314 15 sign sign NN 39713 7314 16 attract attract VBP 39713 7314 17 each each DT 39713 7314 18 other other JJ 39713 7314 19 ; ; : 39713 7314 20 in in IN 39713 7314 21 the the DT 39713 7314 22 ordinary ordinary JJ 39713 7314 23 theory theory NN 39713 7314 24 , , , 39713 7314 25 their -PRON- PRP$ 39713 7314 26 mutual mutual JJ 39713 7314 27 actions action NNS 39713 7314 28 are be VBP 39713 7314 29 proportional proportional JJ 39713 7314 30 to to IN 39713 7314 31 their -PRON- PRP$ 39713 7314 32 electric electric JJ 39713 7314 33 charges charge NNS 39713 7314 34 ; ; : 39713 7314 35 if if IN 39713 7314 36 therefore therefore RB 39713 7314 37 we -PRON- PRP 39713 7314 38 have have VBP 39713 7314 39 four four CD 39713 7314 40 electrons electron NNS 39713 7314 41 , , , 39713 7314 42 two two CD 39713 7314 43 positive positive JJ 39713 7314 44 _ _ NNP 39713 7314 45 A A NNP 39713 7314 46 _ _ NNP 39713 7314 47 and and CC 39713 7314 48 _ _ NNP 39713 7314 49 A A NNP 39713 7314 50 ' ' '' 39713 7314 51 _ _ NNP 39713 7314 52 , , , 39713 7314 53 and and CC 39713 7314 54 two two CD 39713 7314 55 negative negative JJ 39713 7314 56 _ _ NNP 39713 7314 57 B B NNP 39713 7314 58 _ _ NNP 39713 7314 59 and and CC 39713 7314 60 _ _ NNP 39713 7314 61 B B NNP 39713 7314 62 ' ' '' 39713 7314 63 _ _ NNP 39713 7314 64 , , , 39713 7314 65 the the DT 39713 7314 66 charges charge NNS 39713 7314 67 of of IN 39713 7314 68 these these DT 39713 7314 69 four four CD 39713 7314 70 being be VBG 39713 7314 71 the the DT 39713 7314 72 same same JJ 39713 7314 73 in in IN 39713 7314 74 absolute absolute JJ 39713 7314 75 value value NN 39713 7314 76 , , , 39713 7314 77 the the DT 39713 7314 78 repulsion repulsion NN 39713 7314 79 of of IN 39713 7314 80 _ _ NNP 39713 7314 81 A A NNP 39713 7314 82 _ _ NNP 39713 7314 83 for for IN 39713 7314 84 _ _ NNP 39713 7314 85 A A NNP 39713 7314 86 ' ' '' 39713 7314 87 _ _ NNP 39713 7314 88 will will MD 39713 7314 89 be be VB 39713 7314 90 , , , 39713 7314 91 at at IN 39713 7314 92 the the DT 39713 7314 93 same same JJ 39713 7314 94 distance distance NN 39713 7314 95 , , , 39713 7314 96 equal equal JJ 39713 7314 97 to to IN 39713 7314 98 the the DT 39713 7314 99 repulsion repulsion NN 39713 7314 100 of of IN 39713 7314 101 _ _ NNP 39713 7314 102 B B NNP 39713 7314 103 _ _ NNP 39713 7314 104 for for IN 39713 7314 105 _ _ NNP 39713 7314 106 B B NNP 39713 7314 107 ' ' '' 39713 7314 108 _ _ NN 39713 7314 109 and and CC 39713 7314 110 equal equal JJ 39713 7314 111 also also RB 39713 7314 112 to to IN 39713 7314 113 the the DT 39713 7314 114 attraction attraction NN 39713 7314 115 of of IN 39713 7314 116 _ _ NNP 39713 7314 117 A A NNP 39713 7314 118 _ _ NNP 39713 7314 119 for for IN 39713 7314 120 _ _ NNP 39713 7314 121 B B NNP 39713 7314 122 ' ' '' 39713 7314 123 _ _ NNP 39713 7314 124 , , , 39713 7314 125 or or CC 39713 7314 126 of of IN 39713 7314 127 _ _ NNP 39713 7314 128 A A NNP 39713 7314 129 ' ' '' 39713 7314 130 _ _ NNP 39713 7314 131 for for IN 39713 7314 132 _ _ NNP 39713 7314 133 B B NNP 39713 7314 134 _ _ NNP 39713 7314 135 . . . 39713 7315 1 If if IN 39713 7315 2 therefore therefore RB 39713 7315 3 _ _ NNP 39713 7315 4 A A NNP 39713 7315 5 _ _ NNP 39713 7315 6 and and CC 39713 7315 7 _ _ NNP 39713 7315 8 B B NNP 39713 7315 9 _ _ NNP 39713 7315 10 are be VBP 39713 7315 11 very very RB 39713 7315 12 near near IN 39713 7315 13 each each DT 39713 7315 14 other other JJ 39713 7315 15 , , , 39713 7315 16 as as RB 39713 7315 17 also also RB 39713 7315 18 _ _ NNP 39713 7315 19 A A NNP 39713 7315 20 ' ' '' 39713 7315 21 _ _ NNP 39713 7315 22 and and CC 39713 7315 23 _ _ NNP 39713 7315 24 B B NNP 39713 7315 25 ' ' '' 39713 7315 26 _ _ NNP 39713 7315 27 , , , 39713 7315 28 and and CC 39713 7315 29 we -PRON- PRP 39713 7315 30 examine examine VBP 39713 7315 31 the the DT 39713 7315 32 action action NN 39713 7315 33 of of IN 39713 7315 34 the the DT 39713 7315 35 system system NN 39713 7315 36 _ _ NNP 39713 7315 37 A A NNP 39713 7315 38 _ _ NNP 39713 7315 39 + + CC 39713 7315 40 _ _ NNP 39713 7315 41 B B NNP 39713 7315 42 _ _ NNP 39713 7315 43 upon upon IN 39713 7315 44 the the DT 39713 7315 45 system system NN 39713 7315 46 _ _ NNP 39713 7315 47 A A NNP 39713 7315 48 ' ' '' 39713 7315 49 _ _ NNP 39713 7315 50 + + CC 39713 7315 51 _ _ NNP 39713 7315 52 B B NNP 39713 7315 53 ' ' '' 39713 7315 54 _ _ NNP 39713 7315 55 , , , 39713 7315 56 we -PRON- PRP 39713 7315 57 shall shall MD 39713 7315 58 have have VB 39713 7315 59 two two CD 39713 7315 60 repulsions repulsion NNS 39713 7315 61 and and CC 39713 7315 62 two two CD 39713 7315 63 attractions attraction NNS 39713 7315 64 which which WDT 39713 7315 65 will will MD 39713 7315 66 exactly exactly RB 39713 7315 67 compensate compensate VB 39713 7315 68 each each DT 39713 7315 69 other other JJ 39713 7315 70 and and CC 39713 7315 71 the the DT 39713 7315 72 resulting result VBG 39713 7315 73 action action NN 39713 7315 74 will will MD 39713 7315 75 be be VB 39713 7315 76 null null JJ 39713 7315 77 . . . 39713 7316 1 Now now RB 39713 7316 2 , , , 39713 7316 3 material material NN 39713 7316 4 molecules molecule NNS 39713 7316 5 should should MD 39713 7316 6 just just RB 39713 7316 7 be be VB 39713 7316 8 regarded regard VBN 39713 7316 9 as as IN 39713 7316 10 species specie NNS 39713 7316 11 of of IN 39713 7316 12 solar solar JJ 39713 7316 13 systems system NNS 39713 7316 14 where where WRB 39713 7316 15 circulate circulate VBP 39713 7316 16 the the DT 39713 7316 17 electrons electron NNS 39713 7316 18 , , , 39713 7316 19 some some DT 39713 7316 20 positive positive JJ 39713 7316 21 , , , 39713 7316 22 some some DT 39713 7316 23 negative negative JJ 39713 7316 24 , , , 39713 7316 25 and and CC 39713 7316 26 _ _ NNP 39713 7316 27 in in IN 39713 7316 28 such such PDT 39713 7316 29 a a DT 39713 7316 30 way way NN 39713 7316 31 that that WDT 39713 7316 32 the the DT 39713 7316 33 algebraic algebraic NN 39713 7316 34 sum sum NN 39713 7316 35 of of IN 39713 7316 36 all all PDT 39713 7316 37 the the DT 39713 7316 38 charges charge NNS 39713 7316 39 is be VBZ 39713 7316 40 null null JJ 39713 7316 41 _ _ NNP 39713 7316 42 . . . 39713 7317 1 A a DT 39713 7317 2 material material NN 39713 7317 3 molecule molecule NN 39713 7317 4 is be VBZ 39713 7317 5 therefore therefore RB 39713 7317 6 wholly wholly RB 39713 7317 7 analogous analogous JJ 39713 7317 8 to to IN 39713 7317 9 the the DT 39713 7317 10 system system NN 39713 7317 11 _ _ NNP 39713 7317 12 A A NNP 39713 7317 13 _ _ NNP 39713 7317 14 + + CC 39713 7317 15 _ _ NNP 39713 7317 16 B B NNP 39713 7317 17 _ _ NNP 39713 7317 18 of of IN 39713 7317 19 which which WDT 39713 7317 20 we -PRON- PRP 39713 7317 21 have have VBP 39713 7317 22 spoken speak VBN 39713 7317 23 , , , 39713 7317 24 so so IN 39713 7317 25 that that IN 39713 7317 26 the the DT 39713 7317 27 total total JJ 39713 7317 28 electric electric JJ 39713 7317 29 action action NN 39713 7317 30 of of IN 39713 7317 31 two two CD 39713 7317 32 molecules molecule NNS 39713 7317 33 one one CD 39713 7317 34 upon upon IN 39713 7317 35 the the DT 39713 7317 36 other other JJ 39713 7317 37 should should MD 39713 7317 38 be be VB 39713 7317 39 null null JJ 39713 7317 40 . . . 39713 7318 1 But but CC 39713 7318 2 experiment experiment NN 39713 7318 3 shows show VBZ 39713 7318 4 us -PRON- PRP 39713 7318 5 that that IN 39713 7318 6 these these DT 39713 7318 7 molecules molecule NNS 39713 7318 8 attract attract VBP 39713 7318 9 each each DT 39713 7318 10 other other JJ 39713 7318 11 in in IN 39713 7318 12 consequence consequence NN 39713 7318 13 of of IN 39713 7318 14 Newtonian newtonian JJ 39713 7318 15 gravitation gravitation NN 39713 7318 16 ; ; : 39713 7318 17 and and CC 39713 7318 18 then then RB 39713 7318 19 we -PRON- PRP 39713 7318 20 may may MD 39713 7318 21 make make VB 39713 7318 22 two two CD 39713 7318 23 hypotheses hypothesis NNS 39713 7318 24 : : : 39713 7318 25 we -PRON- PRP 39713 7318 26 may may MD 39713 7318 27 suppose suppose VB 39713 7318 28 gravitation gravitation NN 39713 7318 29 has have VBZ 39713 7318 30 no no DT 39713 7318 31 relation relation NN 39713 7318 32 to to IN 39713 7318 33 the the DT 39713 7318 34 electrostatic electrostatic JJ 39713 7318 35 attractions attraction NNS 39713 7318 36 , , , 39713 7318 37 that that IN 39713 7318 38 it -PRON- PRP 39713 7318 39 is be VBZ 39713 7318 40 due due JJ 39713 7318 41 to to IN 39713 7318 42 a a DT 39713 7318 43 cause cause NN 39713 7318 44 entirely entirely RB 39713 7318 45 different different JJ 39713 7318 46 , , , 39713 7318 47 and and CC 39713 7318 48 is be VBZ 39713 7318 49 simply simply RB 39713 7318 50 something something NN 39713 7318 51 additional additional JJ 39713 7318 52 ; ; : 39713 7318 53 or or CC 39713 7318 54 else else RB 39713 7318 55 we -PRON- PRP 39713 7318 56 may may MD 39713 7318 57 suppose suppose VB 39713 7318 58 the the DT 39713 7318 59 attractions attraction NNS 39713 7318 60 are be VBP 39713 7318 61 not not RB 39713 7318 62 proportional proportional JJ 39713 7318 63 to to IN 39713 7318 64 the the DT 39713 7318 65 charges charge NNS 39713 7318 66 and and CC 39713 7318 67 that that IN 39713 7318 68 the the DT 39713 7318 69 attraction attraction NN 39713 7318 70 exercised exercise VBN 39713 7318 71 by by IN 39713 7318 72 a a DT 39713 7318 73 charge charge NN 39713 7318 74 +1 +1 VBZ 39713 7318 75 upon upon IN 39713 7318 76 a a DT 39713 7318 77 charge charge NN 39713 7318 78 -1 -1 . 39713 7318 79 is be VBZ 39713 7318 80 greater great JJR 39713 7318 81 than than IN 39713 7318 82 the the DT 39713 7318 83 mutual mutual JJ 39713 7318 84 repulsion repulsion NN 39713 7318 85 of of IN 39713 7318 86 two two CD 39713 7318 87 +1 +1 NNS 39713 7318 88 charges charge NNS 39713 7318 89 , , , 39713 7318 90 or or CC 39713 7318 91 two two CD 39713 7318 92 -1 -1 HYPH 39713 7318 93 charges charge NNS 39713 7318 94 . . . 39713 7319 1 In in IN 39713 7319 2 other other JJ 39713 7319 3 words word NNS 39713 7319 4 , , , 39713 7319 5 the the DT 39713 7319 6 electric electric JJ 39713 7319 7 field field NN 39713 7319 8 produced produce VBN 39713 7319 9 by by IN 39713 7319 10 the the DT 39713 7319 11 positive positive JJ 39713 7319 12 electrons electron NNS 39713 7319 13 and and CC 39713 7319 14 that that IN 39713 7319 15 which which WDT 39713 7319 16 the the DT 39713 7319 17 negative negative JJ 39713 7319 18 electrons electron NNS 39713 7319 19 produce produce VBP 39713 7319 20 might may MD 39713 7319 21 be be VB 39713 7319 22 superposed superpose VBN 39713 7319 23 and and CC 39713 7319 24 yet yet RB 39713 7319 25 remain remain VB 39713 7319 26 distinct distinct JJ 39713 7319 27 . . . 39713 7320 1 The the DT 39713 7320 2 positive positive JJ 39713 7320 3 electrons electron NNS 39713 7320 4 would would MD 39713 7320 5 be be VB 39713 7320 6 more more RBR 39713 7320 7 sensitive sensitive JJ 39713 7320 8 to to IN 39713 7320 9 the the DT 39713 7320 10 field field NN 39713 7320 11 produced produce VBN 39713 7320 12 by by IN 39713 7320 13 the the DT 39713 7320 14 negative negative JJ 39713 7320 15 electrons electron NNS 39713 7320 16 than than IN 39713 7320 17 to to IN 39713 7320 18 the the DT 39713 7320 19 field field NN 39713 7320 20 produced produce VBN 39713 7320 21 by by IN 39713 7320 22 the the DT 39713 7320 23 positive positive JJ 39713 7320 24 electrons electron NNS 39713 7320 25 ; ; : 39713 7320 26 the the DT 39713 7320 27 contrary contrary NN 39713 7320 28 would would MD 39713 7320 29 be be VB 39713 7320 30 the the DT 39713 7320 31 case case NN 39713 7320 32 for for IN 39713 7320 33 the the DT 39713 7320 34 negative negative JJ 39713 7320 35 electrons electron NNS 39713 7320 36 . . . 39713 7321 1 It -PRON- PRP 39713 7321 2 is be VBZ 39713 7321 3 clear clear JJ 39713 7321 4 that that IN 39713 7321 5 this this DT 39713 7321 6 hypothesis hypothesis NN 39713 7321 7 somewhat somewhat RB 39713 7321 8 complicates complicate VBZ 39713 7321 9 electrostatics electrostatic NNS 39713 7321 10 , , , 39713 7321 11 but but CC 39713 7321 12 that that IN 39713 7321 13 it -PRON- PRP 39713 7321 14 brings bring VBZ 39713 7321 15 back back RB 39713 7321 16 into into IN 39713 7321 17 it -PRON- PRP 39713 7321 18 gravitation gravitation JJ 39713 7321 19 . . . 39713 7322 1 This this DT 39713 7322 2 was be VBD 39713 7322 3 , , , 39713 7322 4 in in IN 39713 7322 5 sum sum NN 39713 7322 6 , , , 39713 7322 7 Franklin Franklin NNP 39713 7322 8 's 's POS 39713 7322 9 hypothesis hypothesis NN 39713 7322 10 . . . 39713 7323 1 What what WP 39713 7323 2 happens happen VBZ 39713 7323 3 now now RB 39713 7323 4 if if IN 39713 7323 5 the the DT 39713 7323 6 electrons electron NNS 39713 7323 7 are be VBP 39713 7323 8 in in IN 39713 7323 9 motion motion NN 39713 7323 10 ? ? . 39713 7324 1 The the DT 39713 7324 2 positive positive JJ 39713 7324 3 electrons electron NNS 39713 7324 4 will will MD 39713 7324 5 cause cause VB 39713 7324 6 a a DT 39713 7324 7 perturbation perturbation NN 39713 7324 8 in in IN 39713 7324 9 the the DT 39713 7324 10 ether ether NN 39713 7324 11 and and CC 39713 7324 12 produce produce VB 39713 7324 13 there there RB 39713 7324 14 an an DT 39713 7324 15 electric electric JJ 39713 7324 16 and and CC 39713 7324 17 magnetic magnetic JJ 39713 7324 18 field field NN 39713 7324 19 . . . 39713 7325 1 The the DT 39713 7325 2 same same JJ 39713 7325 3 will will MD 39713 7325 4 be be VB 39713 7325 5 the the DT 39713 7325 6 case case NN 39713 7325 7 for for IN 39713 7325 8 the the DT 39713 7325 9 negative negative JJ 39713 7325 10 electrons electron NNS 39713 7325 11 . . . 39713 7326 1 The the DT 39713 7326 2 electrons electron NNS 39713 7326 3 , , , 39713 7326 4 positive positive JJ 39713 7326 5 as as RB 39713 7326 6 well well RB 39713 7326 7 as as IN 39713 7326 8 negative negative JJ 39713 7326 9 , , , 39713 7326 10 undergo undergo VBP 39713 7326 11 then then RB 39713 7326 12 a a DT 39713 7326 13 mechanical mechanical JJ 39713 7326 14 impulsion impulsion NN 39713 7326 15 by by IN 39713 7326 16 the the DT 39713 7326 17 action action NN 39713 7326 18 of of IN 39713 7326 19 these these DT 39713 7326 20 different different JJ 39713 7326 21 fields field NNS 39713 7326 22 . . . 39713 7327 1 In in IN 39713 7327 2 the the DT 39713 7327 3 ordinary ordinary JJ 39713 7327 4 theory theory NN 39713 7327 5 , , , 39713 7327 6 the the DT 39713 7327 7 electromagnetic electromagnetic JJ 39713 7327 8 field field NN 39713 7327 9 , , , 39713 7327 10 due due IN 39713 7327 11 to to IN 39713 7327 12 the the DT 39713 7327 13 motion motion NN 39713 7327 14 of of IN 39713 7327 15 the the DT 39713 7327 16 positive positive JJ 39713 7327 17 electrons electron NNS 39713 7327 18 , , , 39713 7327 19 exercises exercise NNS 39713 7327 20 , , , 39713 7327 21 upon upon IN 39713 7327 22 two two CD 39713 7327 23 electrons electron NNS 39713 7327 24 of of IN 39713 7327 25 contrary contrary JJ 39713 7327 26 sign sign NN 39713 7327 27 and and CC 39713 7327 28 of of IN 39713 7327 29 the the DT 39713 7327 30 same same JJ 39713 7327 31 absolute absolute JJ 39713 7327 32 charge charge NN 39713 7327 33 , , , 39713 7327 34 equal equal JJ 39713 7327 35 actions action NNS 39713 7327 36 with with IN 39713 7327 37 contrary contrary JJ 39713 7327 38 sign sign NN 39713 7327 39 . . . 39713 7328 1 We -PRON- PRP 39713 7328 2 may may MD 39713 7328 3 then then RB 39713 7328 4 without without IN 39713 7328 5 inconvenience inconvenience NN 39713 7328 6 not not RB 39713 7328 7 distinguish distinguish VBP 39713 7328 8 the the DT 39713 7328 9 field field NN 39713 7328 10 due due IN 39713 7328 11 to to IN 39713 7328 12 the the DT 39713 7328 13 motion motion NN 39713 7328 14 of of IN 39713 7328 15 the the DT 39713 7328 16 positive positive JJ 39713 7328 17 electrons electron NNS 39713 7328 18 and and CC 39713 7328 19 the the DT 39713 7328 20 field field NN 39713 7328 21 due due IN 39713 7328 22 to to IN 39713 7328 23 the the DT 39713 7328 24 motion motion NN 39713 7328 25 of of IN 39713 7328 26 the the DT 39713 7328 27 negative negative JJ 39713 7328 28 electrons electron NNS 39713 7328 29 and and CC 39713 7328 30 consider consider VB 39713 7328 31 only only RB 39713 7328 32 the the DT 39713 7328 33 algebraic algebraic NN 39713 7328 34 sum sum NN 39713 7328 35 of of IN 39713 7328 36 these these DT 39713 7328 37 two two CD 39713 7328 38 fields field NNS 39713 7328 39 , , , 39713 7328 40 that that DT 39713 7328 41 is be VBZ 39713 7328 42 to to TO 39713 7328 43 say say VB 39713 7328 44 the the DT 39713 7328 45 resulting result VBG 39713 7328 46 field field NN 39713 7328 47 . . . 39713 7329 1 In in IN 39713 7329 2 the the DT 39713 7329 3 new new JJ 39713 7329 4 theory theory NN 39713 7329 5 , , , 39713 7329 6 on on IN 39713 7329 7 the the DT 39713 7329 8 contrary contrary NN 39713 7329 9 , , , 39713 7329 10 the the DT 39713 7329 11 action action NN 39713 7329 12 upon upon IN 39713 7329 13 the the DT 39713 7329 14 positive positive JJ 39713 7329 15 electrons electron NNS 39713 7329 16 of of IN 39713 7329 17 the the DT 39713 7329 18 electromagnetic electromagnetic JJ 39713 7329 19 field field NN 39713 7329 20 due due IN 39713 7329 21 to to IN 39713 7329 22 the the DT 39713 7329 23 positive positive JJ 39713 7329 24 electrons electron NNS 39713 7329 25 follows follow VBZ 39713 7329 26 the the DT 39713 7329 27 ordinary ordinary JJ 39713 7329 28 laws law NNS 39713 7329 29 ; ; : 39713 7329 30 it -PRON- PRP 39713 7329 31 is be VBZ 39713 7329 32 the the DT 39713 7329 33 same same JJ 39713 7329 34 with with IN 39713 7329 35 the the DT 39713 7329 36 action action NN 39713 7329 37 upon upon IN 39713 7329 38 the the DT 39713 7329 39 negative negative JJ 39713 7329 40 electrons electron NNS 39713 7329 41 of of IN 39713 7329 42 the the DT 39713 7329 43 field field NN 39713 7329 44 due due IN 39713 7329 45 to to IN 39713 7329 46 the the DT 39713 7329 47 negative negative JJ 39713 7329 48 electrons electron NNS 39713 7329 49 . . . 39713 7330 1 Let let VB 39713 7330 2 us -PRON- PRP 39713 7330 3 now now RB 39713 7330 4 consider consider VB 39713 7330 5 the the DT 39713 7330 6 action action NN 39713 7330 7 of of IN 39713 7330 8 the the DT 39713 7330 9 field field NN 39713 7330 10 due due IN 39713 7330 11 to to IN 39713 7330 12 the the DT 39713 7330 13 positive positive JJ 39713 7330 14 electrons electron NNS 39713 7330 15 upon upon IN 39713 7330 16 the the DT 39713 7330 17 negative negative JJ 39713 7330 18 electrons electron NNS 39713 7330 19 ( ( -LRB- 39713 7330 20 or or CC 39713 7330 21 inversely inversely RB 39713 7330 22 ) ) -RRB- 39713 7330 23 ; ; : 39713 7330 24 it -PRON- PRP 39713 7330 25 will will MD 39713 7330 26 still still RB 39713 7330 27 follow follow VB 39713 7330 28 the the DT 39713 7330 29 same same JJ 39713 7330 30 laws law NNS 39713 7330 31 , , , 39713 7330 32 but but CC 39713 7330 33 _ _ NNP 39713 7330 34 with with IN 39713 7330 35 a a DT 39713 7330 36 different different JJ 39713 7330 37 coefficient coefficient NN 39713 7330 38 _ _ NNP 39713 7330 39 . . . 39713 7331 1 Each each DT 39713 7331 2 electron electron NN 39713 7331 3 is be VBZ 39713 7331 4 more more RBR 39713 7331 5 sensitive sensitive JJ 39713 7331 6 to to IN 39713 7331 7 the the DT 39713 7331 8 field field NN 39713 7331 9 created create VBN 39713 7331 10 by by IN 39713 7331 11 the the DT 39713 7331 12 electrons electron NNS 39713 7331 13 of of IN 39713 7331 14 contrary contrary JJ 39713 7331 15 name name NN 39713 7331 16 than than IN 39713 7331 17 to to IN 39713 7331 18 the the DT 39713 7331 19 field field NN 39713 7331 20 created create VBN 39713 7331 21 by by IN 39713 7331 22 the the DT 39713 7331 23 electrons electron NNS 39713 7331 24 of of IN 39713 7331 25 the the DT 39713 7331 26 same same JJ 39713 7331 27 name name NN 39713 7331 28 . . . 39713 7332 1 Such such JJ 39713 7332 2 is be VBZ 39713 7332 3 the the DT 39713 7332 4 hypothesis hypothesis NN 39713 7332 5 of of IN 39713 7332 6 Lorentz Lorentz NNP 39713 7332 7 , , , 39713 7332 8 which which WDT 39713 7332 9 reduces reduce VBZ 39713 7332 10 to to IN 39713 7332 11 Franklin Franklin NNP 39713 7332 12 's 's POS 39713 7332 13 hypothesis hypothesis NN 39713 7332 14 for for IN 39713 7332 15 slight slight JJ 39713 7332 16 velocities velocity NNS 39713 7332 17 ; ; : 39713 7332 18 it -PRON- PRP 39713 7332 19 will will MD 39713 7332 20 therefore therefore RB 39713 7332 21 explain explain VB 39713 7332 22 , , , 39713 7332 23 for for IN 39713 7332 24 these these DT 39713 7332 25 small small JJ 39713 7332 26 velocities velocity NNS 39713 7332 27 , , , 39713 7332 28 Newton Newton NNP 39713 7332 29 's 's POS 39713 7332 30 law law NN 39713 7332 31 . . . 39713 7333 1 Moreover moreover RB 39713 7333 2 , , , 39713 7333 3 as as IN 39713 7333 4 gravitation gravitation NN 39713 7333 5 goes go VBZ 39713 7333 6 back back RB 39713 7333 7 to to IN 39713 7333 8 forces force NNS 39713 7333 9 of of IN 39713 7333 10 electrodynamic electrodynamic JJ 39713 7333 11 origin origin NN 39713 7333 12 , , , 39713 7333 13 the the DT 39713 7333 14 general general JJ 39713 7333 15 theory theory NN 39713 7333 16 of of IN 39713 7333 17 Lorentz Lorentz NNP 39713 7333 18 will will MD 39713 7333 19 apply apply VB 39713 7333 20 , , , 39713 7333 21 and and CC 39713 7333 22 consequently consequently RB 39713 7333 23 the the DT 39713 7333 24 principle principle NN 39713 7333 25 of of IN 39713 7333 26 relativity relativity NN 39713 7333 27 will will MD 39713 7333 28 not not RB 39713 7333 29 be be VB 39713 7333 30 violated violate VBN 39713 7333 31 . . . 39713 7334 1 We -PRON- PRP 39713 7334 2 see see VBP 39713 7334 3 that that IN 39713 7334 4 Newton Newton NNP 39713 7334 5 's 's POS 39713 7334 6 law law NN 39713 7334 7 is be VBZ 39713 7334 8 no no RB 39713 7334 9 longer long RBR 39713 7334 10 applicable applicable JJ 39713 7334 11 to to IN 39713 7334 12 great great JJ 39713 7334 13 velocities velocity NNS 39713 7334 14 and and CC 39713 7334 15 that that IN 39713 7334 16 it -PRON- PRP 39713 7334 17 must must MD 39713 7334 18 be be VB 39713 7334 19 modified modify VBN 39713 7334 20 , , , 39713 7334 21 for for IN 39713 7334 22 bodies body NNS 39713 7334 23 in in IN 39713 7334 24 motion motion NN 39713 7334 25 , , , 39713 7334 26 precisely precisely RB 39713 7334 27 in in IN 39713 7334 28 the the DT 39713 7334 29 same same JJ 39713 7334 30 way way NN 39713 7334 31 as as IN 39713 7334 32 the the DT 39713 7334 33 laws law NNS 39713 7334 34 of of IN 39713 7334 35 electrostatics electrostatic NNS 39713 7334 36 for for IN 39713 7334 37 electricity electricity NN 39713 7334 38 in in IN 39713 7334 39 motion motion NN 39713 7334 40 . . . 39713 7335 1 We -PRON- PRP 39713 7335 2 know know VBP 39713 7335 3 that that IN 39713 7335 4 electromagnetic electromagnetic JJ 39713 7335 5 perturbations perturbation NNS 39713 7335 6 spread spread VBD 39713 7335 7 with with IN 39713 7335 8 the the DT 39713 7335 9 velocity velocity NN 39713 7335 10 of of IN 39713 7335 11 light light NN 39713 7335 12 . . . 39713 7336 1 We -PRON- PRP 39713 7336 2 may may MD 39713 7336 3 therefore therefore RB 39713 7336 4 be be VB 39713 7336 5 tempted tempt VBN 39713 7336 6 to to TO 39713 7336 7 reject reject VB 39713 7336 8 the the DT 39713 7336 9 preceding precede VBG 39713 7336 10 theory theory NN 39713 7336 11 upon upon IN 39713 7336 12 remembering remember VBG 39713 7336 13 that that IN 39713 7336 14 gravitation gravitation NN 39713 7336 15 spreads spread NNS 39713 7336 16 , , , 39713 7336 17 according accord VBG 39713 7336 18 to to IN 39713 7336 19 the the DT 39713 7336 20 calculations calculation NNS 39713 7336 21 of of IN 39713 7336 22 Laplace Laplace NNP 39713 7336 23 , , , 39713 7336 24 at at IN 39713 7336 25 least least JJS 39713 7336 26 ten ten CD 39713 7336 27 million million CD 39713 7336 28 times time NNS 39713 7336 29 more more RBR 39713 7336 30 quickly quickly RB 39713 7336 31 than than IN 39713 7336 32 light light NN 39713 7336 33 , , , 39713 7336 34 and and CC 39713 7336 35 that that IN 39713 7336 36 consequently consequently RB 39713 7336 37 it -PRON- PRP 39713 7336 38 can can MD 39713 7336 39 not not RB 39713 7336 40 be be VB 39713 7336 41 of of IN 39713 7336 42 electromagnetic electromagnetic JJ 39713 7336 43 origin origin NN 39713 7336 44 . . . 39713 7337 1 The the DT 39713 7337 2 result result NN 39713 7337 3 of of IN 39713 7337 4 Laplace Laplace NNP 39713 7337 5 is be VBZ 39713 7337 6 well well RB 39713 7337 7 known known JJ 39713 7337 8 , , , 39713 7337 9 but but CC 39713 7337 10 one one CD 39713 7337 11 is be VBZ 39713 7337 12 generally generally RB 39713 7337 13 ignorant ignorant JJ 39713 7337 14 of of IN 39713 7337 15 its -PRON- PRP$ 39713 7337 16 signification signification NN 39713 7337 17 . . . 39713 7338 1 Laplace Laplace NNP 39713 7338 2 supposed suppose VBD 39713 7338 3 that that IN 39713 7338 4 , , , 39713 7338 5 if if IN 39713 7338 6 the the DT 39713 7338 7 propagation propagation NN 39713 7338 8 of of IN 39713 7338 9 gravitation gravitation NN 39713 7338 10 is be VBZ 39713 7338 11 not not RB 39713 7338 12 instantaneous instantaneous JJ 39713 7338 13 , , , 39713 7338 14 its -PRON- PRP$ 39713 7338 15 velocity velocity NN 39713 7338 16 of of IN 39713 7338 17 spread spread NN 39713 7338 18 combines combine NNS 39713 7338 19 with with IN 39713 7338 20 that that DT 39713 7338 21 of of IN 39713 7338 22 the the DT 39713 7338 23 body body NN 39713 7338 24 attracted attract VBD 39713 7338 25 , , , 39713 7338 26 as as IN 39713 7338 27 happens happen VBZ 39713 7338 28 for for IN 39713 7338 29 light light NN 39713 7338 30 in in IN 39713 7338 31 the the DT 39713 7338 32 phenomenon phenomenon NN 39713 7338 33 of of IN 39713 7338 34 astronomic astronomic JJ 39713 7338 35 aberration aberration NN 39713 7338 36 , , , 39713 7338 37 so so IN 39713 7338 38 that that IN 39713 7338 39 the the DT 39713 7338 40 effective effective JJ 39713 7338 41 force force NN 39713 7338 42 is be VBZ 39713 7338 43 not not RB 39713 7338 44 directed direct VBN 39713 7338 45 along along IN 39713 7338 46 the the DT 39713 7338 47 straight straight JJ 39713 7338 48 joining join VBG 39713 7338 49 the the DT 39713 7338 50 two two CD 39713 7338 51 bodies body NNS 39713 7338 52 , , , 39713 7338 53 but but CC 39713 7338 54 makes make VBZ 39713 7338 55 with with IN 39713 7338 56 this this DT 39713 7338 57 straight straight RB 39713 7338 58 a a DT 39713 7338 59 small small JJ 39713 7338 60 angle angle NN 39713 7338 61 . . . 39713 7339 1 This this DT 39713 7339 2 is be VBZ 39713 7339 3 a a DT 39713 7339 4 very very RB 39713 7339 5 special special JJ 39713 7339 6 hypothesis hypothesis NN 39713 7339 7 , , , 39713 7339 8 not not RB 39713 7339 9 well well RB 39713 7339 10 justified justified JJ 39713 7339 11 , , , 39713 7339 12 and and CC 39713 7339 13 , , , 39713 7339 14 in in IN 39713 7339 15 any any DT 39713 7339 16 case case NN 39713 7339 17 , , , 39713 7339 18 entirely entirely RB 39713 7339 19 different different JJ 39713 7339 20 from from IN 39713 7339 21 that that DT 39713 7339 22 of of IN 39713 7339 23 Lorentz Lorentz NNP 39713 7339 24 . . . 39713 7340 1 Laplace Laplace NNP 39713 7340 2 's 's POS 39713 7340 3 result result NN 39713 7340 4 proves prove VBZ 39713 7340 5 nothing nothing NN 39713 7340 6 against against IN 39713 7340 7 the the DT 39713 7340 8 theory theory NN 39713 7340 9 of of IN 39713 7340 10 Lorentz Lorentz NNP 39713 7340 11 . . . 39713 7341 1 II II NNP 39713 7341 2 _ _ NNP 39713 7341 3 Comparison Comparison NNP 39713 7341 4 with with IN 39713 7341 5 Astronomic Astronomic NNP 39713 7341 6 Observations Observations NNPS 39713 7341 7 _ _ NNP 39713 7341 8 Can Can MD 39713 7341 9 the the DT 39713 7341 10 preceding precede VBG 39713 7341 11 theories theory NNS 39713 7341 12 be be VB 39713 7341 13 reconciled reconcile VBN 39713 7341 14 with with IN 39713 7341 15 astronomic astronomic JJ 39713 7341 16 observations observation NNS 39713 7341 17 ? ? . 39713 7342 1 First first RB 39713 7342 2 of of IN 39713 7342 3 all all DT 39713 7342 4 , , , 39713 7342 5 if if IN 39713 7342 6 we -PRON- PRP 39713 7342 7 adopt adopt VBP 39713 7342 8 them -PRON- PRP 39713 7342 9 , , , 39713 7342 10 the the DT 39713 7342 11 energy energy NN 39713 7342 12 of of IN 39713 7342 13 the the DT 39713 7342 14 planetary planetary NN 39713 7342 15 motions motion NNS 39713 7342 16 will will MD 39713 7342 17 be be VB 39713 7342 18 constantly constantly RB 39713 7342 19 dissipated dissipate VBN 39713 7342 20 by by IN 39713 7342 21 the the DT 39713 7342 22 effect effect NN 39713 7342 23 of of IN 39713 7342 24 the the DT 39713 7342 25 _ _ NNP 39713 7342 26 wave wave NN 39713 7342 27 of of IN 39713 7342 28 acceleration acceleration NN 39713 7342 29 _ _ NNP 39713 7342 30 . . . 39713 7343 1 From from IN 39713 7343 2 this this DT 39713 7343 3 would would MD 39713 7343 4 result result VB 39713 7343 5 that that IN 39713 7343 6 the the DT 39713 7343 7 mean mean JJ 39713 7343 8 motions motion NNS 39713 7343 9 of of IN 39713 7343 10 the the DT 39713 7343 11 stars star NNS 39713 7343 12 would would MD 39713 7343 13 constantly constantly RB 39713 7343 14 accelerate accelerate VB 39713 7343 15 , , , 39713 7343 16 as as IN 39713 7343 17 if if IN 39713 7343 18 these these DT 39713 7343 19 stars star NNS 39713 7343 20 were be VBD 39713 7343 21 moving move VBG 39713 7343 22 in in IN 39713 7343 23 a a DT 39713 7343 24 resistant resistant JJ 39713 7343 25 medium medium NN 39713 7343 26 . . . 39713 7344 1 But but CC 39713 7344 2 this this DT 39713 7344 3 effect effect NN 39713 7344 4 is be VBZ 39713 7344 5 exceedingly exceedingly RB 39713 7344 6 slight slight JJ 39713 7344 7 , , , 39713 7344 8 far far RB 39713 7344 9 too too RB 39713 7344 10 much much JJ 39713 7344 11 so so IN 39713 7344 12 to to TO 39713 7344 13 be be VB 39713 7344 14 discerned discern VBN 39713 7344 15 by by IN 39713 7344 16 the the DT 39713 7344 17 most most RBS 39713 7344 18 precise precise JJ 39713 7344 19 observations observation NNS 39713 7344 20 . . . 39713 7345 1 The the DT 39713 7345 2 acceleration acceleration NN 39713 7345 3 of of IN 39713 7345 4 the the DT 39713 7345 5 heavenly heavenly JJ 39713 7345 6 bodies body NNS 39713 7345 7 is be VBZ 39713 7345 8 relatively relatively RB 39713 7345 9 slight slight JJ 39713 7345 10 , , , 39713 7345 11 so so IN 39713 7345 12 that that IN 39713 7345 13 the the DT 39713 7345 14 effects effect NNS 39713 7345 15 of of IN 39713 7345 16 the the DT 39713 7345 17 wave wave NN 39713 7345 18 of of IN 39713 7345 19 acceleration acceleration NN 39713 7345 20 are be VBP 39713 7345 21 negligible negligible JJ 39713 7345 22 and and CC 39713 7345 23 the the DT 39713 7345 24 motion motion NN 39713 7345 25 may may MD 39713 7345 26 be be VB 39713 7345 27 regarded regard VBN 39713 7345 28 as as IN 39713 7345 29 _ _ NNP 39713 7345 30 quasi quasi NNP 39713 7345 31 stationary stationary NNP 39713 7345 32 _ _ NNP 39713 7345 33 . . . 39713 7346 1 It -PRON- PRP 39713 7346 2 is be VBZ 39713 7346 3 true true JJ 39713 7346 4 that that IN 39713 7346 5 the the DT 39713 7346 6 effects effect NNS 39713 7346 7 of of IN 39713 7346 8 the the DT 39713 7346 9 wave wave NN 39713 7346 10 of of IN 39713 7346 11 acceleration acceleration NN 39713 7346 12 constantly constantly RB 39713 7346 13 accumulate accumulate VBP 39713 7346 14 , , , 39713 7346 15 but but CC 39713 7346 16 this this DT 39713 7346 17 accumulation accumulation NN 39713 7346 18 itself -PRON- PRP 39713 7346 19 is be VBZ 39713 7346 20 so so RB 39713 7346 21 slow slow JJ 39713 7346 22 that that IN 39713 7346 23 thousands thousand NNS 39713 7346 24 of of IN 39713 7346 25 years year NNS 39713 7346 26 of of IN 39713 7346 27 observation observation NN 39713 7346 28 would would MD 39713 7346 29 be be VB 39713 7346 30 necessary necessary JJ 39713 7346 31 for for IN 39713 7346 32 it -PRON- PRP 39713 7346 33 to to TO 39713 7346 34 become become VB 39713 7346 35 sensible sensible JJ 39713 7346 36 . . . 39713 7347 1 Let let VB 39713 7347 2 us -PRON- PRP 39713 7347 3 therefore therefore RB 39713 7347 4 make make VB 39713 7347 5 the the DT 39713 7347 6 calculation calculation NN 39713 7347 7 considering consider VBG 39713 7347 8 the the DT 39713 7347 9 motion motion NN 39713 7347 10 as as IN 39713 7347 11 quasi quasi JJ 39713 7347 12 - - JJ 39713 7347 13 stationary stationary JJ 39713 7347 14 , , , 39713 7347 15 and and CC 39713 7347 16 that that IN 39713 7347 17 under under IN 39713 7347 18 the the DT 39713 7347 19 three three CD 39713 7347 20 following follow VBG 39713 7347 21 hypotheses hypothesis NNS 39713 7347 22 : : : 39713 7347 23 A. a. NN 39713 7348 1 Admit admit VB 39713 7348 2 the the DT 39713 7348 3 hypothesis hypothesis NN 39713 7348 4 of of IN 39713 7348 5 Abraham Abraham NNP 39713 7348 6 ( ( -LRB- 39713 7348 7 electrons electron NNS 39713 7348 8 indeformable indeformable JJ 39713 7348 9 ) ) -RRB- 39713 7348 10 and and CC 39713 7348 11 retain retain VB 39713 7348 12 Newton Newton NNP 39713 7348 13 's 's POS 39713 7348 14 law law NN 39713 7348 15 in in IN 39713 7348 16 its -PRON- PRP$ 39713 7348 17 usual usual JJ 39713 7348 18 form form NN 39713 7348 19 ; ; : 39713 7348 20 B. B. NNP 39713 7349 1 Admit admit VB 39713 7349 2 the the DT 39713 7349 3 hypothesis hypothesis NN 39713 7349 4 of of IN 39713 7349 5 Lorentz Lorentz NNP 39713 7349 6 about about IN 39713 7349 7 the the DT 39713 7349 8 deformation deformation NN 39713 7349 9 of of IN 39713 7349 10 electrons electron NNS 39713 7349 11 and and CC 39713 7349 12 retain retain VB 39713 7349 13 the the DT 39713 7349 14 usual usual JJ 39713 7349 15 Newton Newton NNP 39713 7349 16 's 's POS 39713 7349 17 law law NN 39713 7349 18 ; ; : 39713 7349 19 C. C. NNP 39713 7349 20 Admit Admit NNP 39713 7349 21 the the DT 39713 7349 22 hypothesis hypothesis NN 39713 7349 23 of of IN 39713 7349 24 Lorentz Lorentz NNP 39713 7349 25 about about IN 39713 7349 26 electrons electron NNS 39713 7349 27 and and CC 39713 7349 28 modify modify VB 39713 7349 29 Newton Newton NNP 39713 7349 30 's 's POS 39713 7349 31 law law NN 39713 7349 32 as as IN 39713 7349 33 we -PRON- PRP 39713 7349 34 have have VBP 39713 7349 35 done do VBN 39713 7349 36 in in IN 39713 7349 37 the the DT 39713 7349 38 preceding precede VBG 39713 7349 39 paragraph paragraph NN 39713 7349 40 , , , 39713 7349 41 so so IN 39713 7349 42 as as IN 39713 7349 43 to to TO 39713 7349 44 render render VB 39713 7349 45 it -PRON- PRP 39713 7349 46 compatible compatible JJ 39713 7349 47 with with IN 39713 7349 48 the the DT 39713 7349 49 principle principle NN 39713 7349 50 of of IN 39713 7349 51 relativity relativity NN 39713 7349 52 . . . 39713 7350 1 It -PRON- PRP 39713 7350 2 is be VBZ 39713 7350 3 in in IN 39713 7350 4 the the DT 39713 7350 5 motion motion NN 39713 7350 6 of of IN 39713 7350 7 Mercury Mercury NNP 39713 7350 8 that that IN 39713 7350 9 the the DT 39713 7350 10 effect effect NN 39713 7350 11 will will MD 39713 7350 12 be be VB 39713 7350 13 most most RBS 39713 7350 14 sensible sensible JJ 39713 7350 15 , , , 39713 7350 16 since since IN 39713 7350 17 this this DT 39713 7350 18 planet planet NN 39713 7350 19 has have VBZ 39713 7350 20 the the DT 39713 7350 21 greatest great JJS 39713 7350 22 velocity velocity NN 39713 7350 23 . . . 39713 7351 1 Tisserand Tisserand NNP 39713 7351 2 formerly formerly RB 39713 7351 3 made make VBD 39713 7351 4 an an DT 39713 7351 5 analogous analogous JJ 39713 7351 6 calculation calculation NN 39713 7351 7 , , , 39713 7351 8 admitting admit VBG 39713 7351 9 Weber Weber NNP 39713 7351 10 's 's POS 39713 7351 11 law law NN 39713 7351 12 ; ; : 39713 7351 13 I -PRON- PRP 39713 7351 14 recall recall VBP 39713 7351 15 that that IN 39713 7351 16 Weber Weber NNP 39713 7351 17 had have VBD 39713 7351 18 sought seek VBN 39713 7351 19 to to TO 39713 7351 20 explain explain VB 39713 7351 21 at at IN 39713 7351 22 the the DT 39713 7351 23 same same JJ 39713 7351 24 time time NN 39713 7351 25 the the DT 39713 7351 26 electrostatic electrostatic JJ 39713 7351 27 and and CC 39713 7351 28 electrodynamic electrodynamic JJ 39713 7351 29 phenomena phenomenon NNS 39713 7351 30 in in IN 39713 7351 31 supposing suppose VBG 39713 7351 32 that that IN 39713 7351 33 electrons electron NNS 39713 7351 34 ( ( -LRB- 39713 7351 35 whose whose WP$ 39713 7351 36 name name NN 39713 7351 37 was be VBD 39713 7351 38 not not RB 39713 7351 39 yet yet RB 39713 7351 40 invented invent VBN 39713 7351 41 ) ) -RRB- 39713 7351 42 exercise exercise NN 39713 7351 43 , , , 39713 7351 44 one one CD 39713 7351 45 upon upon IN 39713 7351 46 another another DT 39713 7351 47 , , , 39713 7351 48 attractions attraction NNS 39713 7351 49 and and CC 39713 7351 50 repulsions repulsion NNS 39713 7351 51 directed direct VBN 39713 7351 52 along along IN 39713 7351 53 the the DT 39713 7351 54 straight straight JJ 39713 7351 55 joining join VBG 39713 7351 56 them -PRON- PRP 39713 7351 57 , , , 39713 7351 58 and and CC 39713 7351 59 depending depend VBG 39713 7351 60 not not RB 39713 7351 61 only only RB 39713 7351 62 upon upon IN 39713 7351 63 their -PRON- PRP$ 39713 7351 64 distances distance NNS 39713 7351 65 , , , 39713 7351 66 but but CC 39713 7351 67 upon upon IN 39713 7351 68 the the DT 39713 7351 69 first first JJ 39713 7351 70 and and CC 39713 7351 71 second second JJ 39713 7351 72 derivatives derivative NNS 39713 7351 73 of of IN 39713 7351 74 these these DT 39713 7351 75 distances distance NNS 39713 7351 76 , , , 39713 7351 77 consequently consequently RB 39713 7351 78 upon upon IN 39713 7351 79 their -PRON- PRP$ 39713 7351 80 velocities velocity NNS 39713 7351 81 and and CC 39713 7351 82 their -PRON- PRP$ 39713 7351 83 accelerations acceleration NNS 39713 7351 84 . . . 39713 7352 1 This this DT 39713 7352 2 law law NN 39713 7352 3 of of IN 39713 7352 4 Weber Weber NNP 39713 7352 5 , , , 39713 7352 6 different different JJ 39713 7352 7 enough enough RB 39713 7352 8 from from IN 39713 7352 9 those those DT 39713 7352 10 which which WDT 39713 7352 11 to to IN 39713 7352 12 - - HYPH 39713 7352 13 day day NN 39713 7352 14 tend tend VB 39713 7352 15 to to TO 39713 7352 16 prevail prevail VB 39713 7352 17 , , , 39713 7352 18 none none NN 39713 7352 19 the the DT 39713 7352 20 less less JJR 39713 7352 21 presents present NNS 39713 7352 22 a a DT 39713 7352 23 certain certain JJ 39713 7352 24 analogy analogy NN 39713 7352 25 with with IN 39713 7352 26 them -PRON- PRP 39713 7352 27 . . . 39713 7353 1 Tisserand Tisserand NNP 39713 7353 2 found find VBD 39713 7353 3 that that IN 39713 7353 4 , , , 39713 7353 5 if if IN 39713 7353 6 the the DT 39713 7353 7 Newtonian newtonian JJ 39713 7353 8 attraction attraction NN 39713 7353 9 conformed conform VBD 39713 7353 10 to to IN 39713 7353 11 Weber Weber NNP 39713 7353 12 's 's POS 39713 7353 13 law law NN 39713 7353 14 there there RB 39713 7353 15 resulted result VBD 39713 7353 16 , , , 39713 7353 17 for for IN 39713 7353 18 Mercury Mercury NNP 39713 7353 19 's 's POS 39713 7353 20 perihelion perihelion NN 39713 7353 21 , , , 39713 7353 22 secular secular JJ 39713 7353 23 variation variation NN 39713 7353 24 of of IN 39713 7353 25 14 14 CD 39713 7353 26 " " '' 39713 7353 27 , , , 39713 7353 28 _ _ NNP 39713 7353 29 of of IN 39713 7353 30 the the DT 39713 7353 31 same same JJ 39713 7353 32 sense sense NN 39713 7353 33 as as IN 39713 7353 34 that that DT 39713 7353 35 which which WDT 39713 7353 36 has have VBZ 39713 7353 37 been be VBN 39713 7353 38 observed observe VBN 39713 7353 39 and and CC 39713 7353 40 could could MD 39713 7353 41 not not RB 39713 7353 42 be be VB 39713 7353 43 explained explain VBN 39713 7353 44 _ _ NNP 39713 7353 45 , , , 39713 7353 46 but but CC 39713 7353 47 smaller small JJR 39713 7353 48 , , , 39713 7353 49 since since IN 39713 7353 50 this this DT 39713 7353 51 is be VBZ 39713 7353 52 38 38 CD 39713 7353 53 " " '' 39713 7353 54 . . . 39713 7354 1 Let let VB 39713 7354 2 us -PRON- PRP 39713 7354 3 recur recur VB 39713 7354 4 to to IN 39713 7354 5 the the DT 39713 7354 6 hypotheses hypothesis NNS 39713 7354 7 A a NN 39713 7354 8 , , , 39713 7354 9 B b NN 39713 7354 10 and and CC 39713 7354 11 C C NNP 39713 7354 12 , , , 39713 7354 13 and and CC 39713 7354 14 study study VB 39713 7354 15 first first RB 39713 7354 16 the the DT 39713 7354 17 motion motion NN 39713 7354 18 of of IN 39713 7354 19 a a DT 39713 7354 20 planet planet NN 39713 7354 21 attracted attract VBN 39713 7354 22 by by IN 39713 7354 23 a a DT 39713 7354 24 fixed fix VBN 39713 7354 25 center center NN 39713 7354 26 . . . 39713 7355 1 The the DT 39713 7355 2 hypotheses hypothesis NNS 39713 7355 3 B B NNP 39713 7355 4 and and CC 39713 7355 5 C C NNP 39713 7355 6 are be VBP 39713 7355 7 no no RB 39713 7355 8 longer longer RB 39713 7355 9 distinguished distinguish VBN 39713 7355 10 , , , 39713 7355 11 since since IN 39713 7355 12 , , , 39713 7355 13 if if IN 39713 7355 14 the the DT 39713 7355 15 attracting attract VBG 39713 7355 16 point point NN 39713 7355 17 is be VBZ 39713 7355 18 fixed fix VBN 39713 7355 19 , , , 39713 7355 20 the the DT 39713 7355 21 field field NN 39713 7355 22 it -PRON- PRP 39713 7355 23 produces produce VBZ 39713 7355 24 is be VBZ 39713 7355 25 a a DT 39713 7355 26 purely purely RB 39713 7355 27 electrostatic electrostatic JJ 39713 7355 28 field field NN 39713 7355 29 , , , 39713 7355 30 where where WRB 39713 7355 31 the the DT 39713 7355 32 attraction attraction NN 39713 7355 33 varies vary VBZ 39713 7355 34 inversely inversely RB 39713 7355 35 as as IN 39713 7355 36 the the DT 39713 7355 37 square square NN 39713 7355 38 of of IN 39713 7355 39 the the DT 39713 7355 40 distance distance NN 39713 7355 41 , , , 39713 7355 42 in in IN 39713 7355 43 conformity conformity NN 39713 7355 44 with with IN 39713 7355 45 Coulomb Coulomb NNP 39713 7355 46 's 's POS 39713 7355 47 electrostatic electrostatic JJ 39713 7355 48 law law NN 39713 7355 49 , , , 39713 7355 50 identical identical JJ 39713 7355 51 with with IN 39713 7355 52 that that DT 39713 7355 53 of of IN 39713 7355 54 Newton Newton NNP 39713 7355 55 . . . 39713 7356 1 The the DT 39713 7356 2 vis vis FW 39713 7356 3 viva viva FW 39713 7356 4 equation equation NN 39713 7356 5 holds hold VBZ 39713 7356 6 good good JJ 39713 7356 7 , , , 39713 7356 8 taking take VBG 39713 7356 9 for for IN 39713 7356 10 vis vis FW 39713 7356 11 viva viva FW 39713 7356 12 the the DT 39713 7356 13 new new JJ 39713 7356 14 definition definition NN 39713 7356 15 ; ; : 39713 7356 16 in in IN 39713 7356 17 the the DT 39713 7356 18 same same JJ 39713 7356 19 way way NN 39713 7356 20 , , , 39713 7356 21 the the DT 39713 7356 22 equation equation NN 39713 7356 23 of of IN 39713 7356 24 areas area NNS 39713 7356 25 is be VBZ 39713 7356 26 replaced replace VBN 39713 7356 27 by by IN 39713 7356 28 another another DT 39713 7356 29 equivalent equivalent NN 39713 7356 30 to to IN 39713 7356 31 it -PRON- PRP 39713 7356 32 ; ; : 39713 7356 33 the the DT 39713 7356 34 moment moment NN 39713 7356 35 of of IN 39713 7356 36 the the DT 39713 7356 37 quantity quantity NN 39713 7356 38 of of IN 39713 7356 39 motion motion NN 39713 7356 40 is be VBZ 39713 7356 41 a a DT 39713 7356 42 constant constant JJ 39713 7356 43 , , , 39713 7356 44 but but CC 39713 7356 45 the the DT 39713 7356 46 quantity quantity NN 39713 7356 47 of of IN 39713 7356 48 motion motion NN 39713 7356 49 must must MD 39713 7356 50 be be VB 39713 7356 51 defined define VBN 39713 7356 52 as as IN 39713 7356 53 in in IN 39713 7356 54 the the DT 39713 7356 55 new new JJ 39713 7356 56 dynamics dynamic NNS 39713 7356 57 . . . 39713 7357 1 The the DT 39713 7357 2 only only JJ 39713 7357 3 sensible sensible JJ 39713 7357 4 effect effect NN 39713 7357 5 will will MD 39713 7357 6 be be VB 39713 7357 7 a a DT 39713 7357 8 secular secular JJ 39713 7357 9 motion motion NN 39713 7357 10 of of IN 39713 7357 11 the the DT 39713 7357 12 perihelion perihelion NN 39713 7357 13 . . . 39713 7358 1 With with IN 39713 7358 2 the the DT 39713 7358 3 theory theory NN 39713 7358 4 of of IN 39713 7358 5 Lorentz Lorentz NNP 39713 7358 6 , , , 39713 7358 7 we -PRON- PRP 39713 7358 8 shall shall MD 39713 7358 9 find find VB 39713 7358 10 , , , 39713 7358 11 for for IN 39713 7358 12 this this DT 39713 7358 13 motion motion NN 39713 7358 14 , , , 39713 7358 15 half half NN 39713 7358 16 of of IN 39713 7358 17 what what WP 39713 7358 18 Weber Weber NNP 39713 7358 19 's 's POS 39713 7358 20 law law NN 39713 7358 21 would would MD 39713 7358 22 give give VB 39713 7358 23 ; ; : 39713 7358 24 with with IN 39713 7358 25 the the DT 39713 7358 26 theory theory NN 39713 7358 27 of of IN 39713 7358 28 Abraham Abraham NNP 39713 7358 29 , , , 39713 7358 30 two two CD 39713 7358 31 fifths fifth NNS 39713 7358 32 . . . 39713 7359 1 If if IN 39713 7359 2 now now RB 39713 7359 3 we -PRON- PRP 39713 7359 4 suppose suppose VBP 39713 7359 5 two two CD 39713 7359 6 moving move VBG 39713 7359 7 bodies body NNS 39713 7359 8 gravitating gravitate VBG 39713 7359 9 around around IN 39713 7359 10 their -PRON- PRP$ 39713 7359 11 common common JJ 39713 7359 12 center center NN 39713 7359 13 of of IN 39713 7359 14 gravity gravity NN 39713 7359 15 , , , 39713 7359 16 the the DT 39713 7359 17 effects effect NNS 39713 7359 18 are be VBP 39713 7359 19 very very RB 39713 7359 20 little little RB 39713 7359 21 different different JJ 39713 7359 22 , , , 39713 7359 23 though though IN 39713 7359 24 the the DT 39713 7359 25 calculations calculation NNS 39713 7359 26 may may MD 39713 7359 27 be be VB 39713 7359 28 a a DT 39713 7359 29 little little RB 39713 7359 30 more more RBR 39713 7359 31 complicated complicated JJ 39713 7359 32 . . . 39713 7360 1 The the DT 39713 7360 2 motion motion NN 39713 7360 3 of of IN 39713 7360 4 Mercury Mercury NNP 39713 7360 5 's 's POS 39713 7360 6 perihelion perihelion NN 39713 7360 7 would would MD 39713 7360 8 therefore therefore RB 39713 7360 9 be be VB 39713 7360 10 7 7 CD 39713 7360 11 " " '' 39713 7360 12 in in IN 39713 7360 13 the the DT 39713 7360 14 theory theory NN 39713 7360 15 of of IN 39713 7360 16 Lorentz Lorentz NNP 39713 7360 17 and and CC 39713 7360 18 5".6 5".6 NNP 39713 7360 19 in in IN 39713 7360 20 that that DT 39713 7360 21 of of IN 39713 7360 22 Abraham Abraham NNP 39713 7360 23 . . . 39713 7361 1 The the DT 39713 7361 2 effect effect NN 39713 7361 3 moreover moreover RB 39713 7361 4 is be VBZ 39713 7361 5 proportional proportional JJ 39713 7361 6 to to IN 39713 7361 7 ( ( -LRB- 39713 7361 8 _ _ NNP 39713 7361 9 n_^{3})(_a_^{2 n_^{3})(_a_^{2 NNP 39713 7361 10 } } -RRB- 39713 7361 11 ) ) -RRB- 39713 7361 12 , , , 39713 7361 13 where where WRB 39713 7361 14 _ _ NNP 39713 7361 15 n n CC 39713 7361 16 _ _ NNP 39713 7361 17 is be VBZ 39713 7361 18 the the DT 39713 7361 19 star star NN 39713 7361 20 's 's POS 39713 7361 21 mean mean NNP 39713 7361 22 motion motion NN 39713 7361 23 and and CC 39713 7361 24 a a DT 39713 7361 25 the the DT 39713 7361 26 radius radius NN 39713 7361 27 of of IN 39713 7361 28 its -PRON- PRP$ 39713 7361 29 orbit orbit NN 39713 7361 30 . . . 39713 7362 1 For for IN 39713 7362 2 the the DT 39713 7362 3 planets planet NNS 39713 7362 4 , , , 39713 7362 5 in in IN 39713 7362 6 virtue virtue NN 39713 7362 7 of of IN 39713 7362 8 Kepler Kepler NNP 39713 7362 9 's 's POS 39713 7362 10 law law NN 39713 7362 11 , , , 39713 7362 12 the the DT 39713 7362 13 effect effect NN 39713 7362 14 varies vary VBZ 39713 7362 15 then then RB 39713 7362 16 inversely inversely RB 39713 7362 17 as as IN 39713 7362 18 sqrt(_a_^{5 sqrt(_a_^{5 NNP 39713 7362 19 } } -RRB- 39713 7362 20 ) ) -RRB- 39713 7362 21 ; ; : 39713 7362 22 it -PRON- PRP 39713 7362 23 is be VBZ 39713 7362 24 therefore therefore RB 39713 7362 25 insensible insensible JJ 39713 7362 26 , , , 39713 7362 27 save save VB 39713 7362 28 for for IN 39713 7362 29 Mercury Mercury NNP 39713 7362 30 . . . 39713 7363 1 It -PRON- PRP 39713 7363 2 is be VBZ 39713 7363 3 likewise likewise RB 39713 7363 4 insensible insensible JJ 39713 7363 5 for for IN 39713 7363 6 the the DT 39713 7363 7 moon moon NN 39713 7363 8 though though IN 39713 7363 9 _ _ NNP 39713 7363 10 n n CC 39713 7363 11 _ _ NNP 39713 7363 12 is be VBZ 39713 7363 13 great great JJ 39713 7363 14 , , , 39713 7363 15 because because IN 39713 7363 16 _ _ NNP 39713 7363 17 a a DT 39713 7363 18 _ _ NNP 39713 7363 19 is be VBZ 39713 7363 20 extremely extremely RB 39713 7363 21 small small JJ 39713 7363 22 ; ; : 39713 7363 23 in in IN 39713 7363 24 sum sum NN 39713 7363 25 , , , 39713 7363 26 it -PRON- PRP 39713 7363 27 is be VBZ 39713 7363 28 five five CD 39713 7363 29 times time NNS 39713 7363 30 less less JJR 39713 7363 31 for for IN 39713 7363 32 Venus Venus NNP 39713 7363 33 , , , 39713 7363 34 and and CC 39713 7363 35 six six CD 39713 7363 36 hundred hundred CD 39713 7363 37 times time NNS 39713 7363 38 less less JJR 39713 7363 39 for for IN 39713 7363 40 the the DT 39713 7363 41 moon moon NN 39713 7363 42 than than IN 39713 7363 43 for for IN 39713 7363 44 Mercury Mercury NNP 39713 7363 45 . . . 39713 7364 1 We -PRON- PRP 39713 7364 2 may may MD 39713 7364 3 add add VB 39713 7364 4 that that DT 39713 7364 5 as as IN 39713 7364 6 to to IN 39713 7364 7 Venus Venus NNP 39713 7364 8 and and CC 39713 7364 9 the the DT 39713 7364 10 earth earth NN 39713 7364 11 , , , 39713 7364 12 the the DT 39713 7364 13 motion motion NN 39713 7364 14 of of IN 39713 7364 15 the the DT 39713 7364 16 perihelion perihelion NN 39713 7364 17 ( ( -LRB- 39713 7364 18 for for IN 39713 7364 19 the the DT 39713 7364 20 same same JJ 39713 7364 21 angular angular JJ 39713 7364 22 velocity velocity NN 39713 7364 23 of of IN 39713 7364 24 this this DT 39713 7364 25 motion motion NN 39713 7364 26 ) ) -RRB- 39713 7364 27 would would MD 39713 7364 28 be be VB 39713 7364 29 much much RB 39713 7364 30 more more RBR 39713 7364 31 difficult difficult JJ 39713 7364 32 to to TO 39713 7364 33 discern discern VB 39713 7364 34 by by IN 39713 7364 35 astronomic astronomic JJ 39713 7364 36 observations observation NNS 39713 7364 37 , , , 39713 7364 38 because because IN 39713 7364 39 the the DT 39713 7364 40 excentricity excentricity NN 39713 7364 41 of of IN 39713 7364 42 their -PRON- PRP$ 39713 7364 43 orbits orbit NNS 39713 7364 44 is be VBZ 39713 7364 45 much much RB 39713 7364 46 less less JJR 39713 7364 47 than than IN 39713 7364 48 for for IN 39713 7364 49 Mercury Mercury NNP 39713 7364 50 . . . 39713 7365 1 To to TO 39713 7365 2 sum sum VB 39713 7365 3 up up RP 39713 7365 4 , , , 39713 7365 5 _ _ NNP 39713 7365 6 the the DT 39713 7365 7 only only JJ 39713 7365 8 sensible sensible JJ 39713 7365 9 effect effect NN 39713 7365 10 upon upon IN 39713 7365 11 astronomic astronomic JJ 39713 7365 12 observations observation NNS 39713 7365 13 would would MD 39713 7365 14 be be VB 39713 7365 15 a a DT 39713 7365 16 motion motion NN 39713 7365 17 of of IN 39713 7365 18 Mercury Mercury NNP 39713 7365 19 's 's POS 39713 7365 20 perihelion perihelion NN 39713 7365 21 , , , 39713 7365 22 in in IN 39713 7365 23 the the DT 39713 7365 24 same same JJ 39713 7365 25 sense sense NN 39713 7365 26 as as IN 39713 7365 27 that that DT 39713 7365 28 which which WDT 39713 7365 29 has have VBZ 39713 7365 30 been be VBN 39713 7365 31 observed observe VBN 39713 7365 32 without without IN 39713 7365 33 being be VBG 39713 7365 34 explained explain VBN 39713 7365 35 , , , 39713 7365 36 but but CC 39713 7365 37 notably notably RB 39713 7365 38 slighter slighter NNP 39713 7365 39 _ _ NNP 39713 7365 40 . . . 39713 7366 1 That that DT 39713 7366 2 can can MD 39713 7366 3 not not RB 39713 7366 4 be be VB 39713 7366 5 regarded regard VBN 39713 7366 6 as as IN 39713 7366 7 an an DT 39713 7366 8 argument argument NN 39713 7366 9 in in IN 39713 7366 10 favor favor NN 39713 7366 11 of of IN 39713 7366 12 the the DT 39713 7366 13 new new JJ 39713 7366 14 dynamics dynamic NNS 39713 7366 15 , , , 39713 7366 16 since since IN 39713 7366 17 it -PRON- PRP 39713 7366 18 will will MD 39713 7366 19 always always RB 39713 7366 20 be be VB 39713 7366 21 necessary necessary JJ 39713 7366 22 to to TO 39713 7366 23 seek seek VB 39713 7366 24 another another DT 39713 7366 25 explanation explanation NN 39713 7366 26 for for IN 39713 7366 27 the the DT 39713 7366 28 greater great JJR 39713 7366 29 part part NN 39713 7366 30 of of IN 39713 7366 31 Mercury Mercury NNP 39713 7366 32 's 's POS 39713 7366 33 anomaly anomaly NN 39713 7366 34 ; ; : 39713 7366 35 but but CC 39713 7366 36 still still RB 39713 7366 37 less less RBR 39713 7366 38 can can MD 39713 7366 39 it -PRON- PRP 39713 7366 40 be be VB 39713 7366 41 regarded regard VBN 39713 7366 42 as as IN 39713 7366 43 an an DT 39713 7366 44 argument argument NN 39713 7366 45 against against IN 39713 7366 46 it -PRON- PRP 39713 7366 47 . . . 39713 7367 1 III III NNP 39713 7367 2 _ _ NNP 39713 7367 3 The the DT 39713 7367 4 Theory Theory NNP 39713 7367 5 of of IN 39713 7367 6 Lesage Lesage NNP 39713 7367 7 _ _ NNP 39713 7367 8 It -PRON- PRP 39713 7367 9 is be VBZ 39713 7367 10 interesting interesting JJ 39713 7367 11 to to TO 39713 7367 12 compare compare VB 39713 7367 13 these these DT 39713 7367 14 considerations consideration NNS 39713 7367 15 with with IN 39713 7367 16 a a DT 39713 7367 17 theory theory NN 39713 7367 18 long long JJ 39713 7367 19 since since IN 39713 7367 20 proposed propose VBN 39713 7367 21 to to TO 39713 7367 22 explain explain VB 39713 7367 23 universal universal JJ 39713 7367 24 gravitation gravitation NN 39713 7367 25 . . . 39713 7368 1 Suppose suppose VB 39713 7368 2 that that IN 39713 7368 3 , , , 39713 7368 4 in in IN 39713 7368 5 the the DT 39713 7368 6 interplanetary interplanetary NNP 39713 7368 7 spaces space NNS 39713 7368 8 , , , 39713 7368 9 circulate circulate VBP 39713 7368 10 in in IN 39713 7368 11 every every DT 39713 7368 12 direction direction NN 39713 7368 13 , , , 39713 7368 14 with with IN 39713 7368 15 high high JJ 39713 7368 16 velocities velocity NNS 39713 7368 17 , , , 39713 7368 18 very very RB 39713 7368 19 tenuous tenuous JJ 39713 7368 20 corpuscles corpuscle NNS 39713 7368 21 . . . 39713 7369 1 A a DT 39713 7369 2 body body NN 39713 7369 3 isolated isolate VBN 39713 7369 4 in in IN 39713 7369 5 space space NN 39713 7369 6 will will MD 39713 7369 7 not not RB 39713 7369 8 be be VB 39713 7369 9 affected affect VBN 39713 7369 10 , , , 39713 7369 11 apparently apparently RB 39713 7369 12 , , , 39713 7369 13 by by IN 39713 7369 14 the the DT 39713 7369 15 impacts impact NNS 39713 7369 16 of of IN 39713 7369 17 these these DT 39713 7369 18 corpuscles corpuscle NNS 39713 7369 19 , , , 39713 7369 20 since since IN 39713 7369 21 these these DT 39713 7369 22 impacts impact NNS 39713 7369 23 are be VBP 39713 7369 24 equally equally RB 39713 7369 25 distributed distribute VBN 39713 7369 26 in in IN 39713 7369 27 all all DT 39713 7369 28 directions direction NNS 39713 7369 29 . . . 39713 7370 1 But but CC 39713 7370 2 if if IN 39713 7370 3 two two CD 39713 7370 4 bodies body NNS 39713 7370 5 _ _ NNP 39713 7370 6 A A NNP 39713 7370 7 _ _ NNP 39713 7370 8 and and CC 39713 7370 9 _ _ NNP 39713 7370 10 B B NNP 39713 7370 11 _ _ NNP 39713 7370 12 are be VBP 39713 7370 13 present present JJ 39713 7370 14 , , , 39713 7370 15 the the DT 39713 7370 16 body body NN 39713 7370 17 _ _ NNP 39713 7370 18 B B NNP 39713 7370 19 _ _ NNP 39713 7370 20 will will MD 39713 7370 21 play play VB 39713 7370 22 the the DT 39713 7370 23 rôle rôle NN 39713 7370 24 of of IN 39713 7370 25 screen screen NN 39713 7370 26 and and CC 39713 7370 27 will will MD 39713 7370 28 intercept intercept VB 39713 7370 29 part part NN 39713 7370 30 of of IN 39713 7370 31 the the DT 39713 7370 32 corpuscles corpuscle NNS 39713 7370 33 which which WDT 39713 7370 34 , , , 39713 7370 35 without without IN 39713 7370 36 it -PRON- PRP 39713 7370 37 , , , 39713 7370 38 would would MD 39713 7370 39 have have VB 39713 7370 40 struck strike VBN 39713 7370 41 _ _ NNP 39713 7370 42 A A NNP 39713 7370 43 _ _ NNP 39713 7370 44 . . . 39713 7371 1 Then then RB 39713 7371 2 , , , 39713 7371 3 the the DT 39713 7371 4 impacts impact NNS 39713 7371 5 received receive VBN 39713 7371 6 by by IN 39713 7371 7 _ _ NNP 39713 7371 8 A A NNP 39713 7371 9 _ _ NNP 39713 7371 10 in in IN 39713 7371 11 the the DT 39713 7371 12 direction direction NN 39713 7371 13 opposite opposite IN 39713 7371 14 that that IN 39713 7371 15 from from IN 39713 7371 16 _ _ NNP 39713 7371 17 B B NNP 39713 7371 18 _ _ NNP 39713 7371 19 will will MD 39713 7371 20 no no RB 39713 7371 21 longer longer RB 39713 7371 22 have have VB 39713 7371 23 a a DT 39713 7371 24 counterpart counterpart NN 39713 7371 25 , , , 39713 7371 26 or or CC 39713 7371 27 will will MD 39713 7371 28 now now RB 39713 7371 29 be be VB 39713 7371 30 only only RB 39713 7371 31 partially partially RB 39713 7371 32 compensated compensate VBN 39713 7371 33 , , , 39713 7371 34 and and CC 39713 7371 35 this this DT 39713 7371 36 will will MD 39713 7371 37 push push VB 39713 7371 38 _ _ NNP 39713 7371 39 A A NNP 39713 7371 40 _ _ NNP 39713 7371 41 toward toward IN 39713 7371 42 _ _ NNP 39713 7371 43 B B NNP 39713 7371 44 _ _ NNP 39713 7371 45 . . . 39713 7372 1 Such such JJ 39713 7372 2 is be VBZ 39713 7372 3 the the DT 39713 7372 4 theory theory NN 39713 7372 5 of of IN 39713 7372 6 Lesage Lesage NNP 39713 7372 7 ; ; : 39713 7372 8 and and CC 39713 7372 9 we -PRON- PRP 39713 7372 10 shall shall MD 39713 7372 11 discuss discuss VB 39713 7372 12 it -PRON- PRP 39713 7372 13 , , , 39713 7372 14 taking take VBG 39713 7372 15 first first RB 39713 7372 16 the the DT 39713 7372 17 view view NN 39713 7372 18 - - HYPH 39713 7372 19 point point NN 39713 7372 20 of of IN 39713 7372 21 ordinary ordinary JJ 39713 7372 22 mechanics mechanic NNS 39713 7372 23 . . . 39713 7373 1 First first RB 39713 7373 2 , , , 39713 7373 3 how how WRB 39713 7373 4 should should MD 39713 7373 5 the the DT 39713 7373 6 impacts impact NNS 39713 7373 7 postulated postulate VBN 39713 7373 8 by by IN 39713 7373 9 this this DT 39713 7373 10 theory theory NN 39713 7373 11 take take VB 39713 7373 12 place place NN 39713 7373 13 ; ; : 39713 7373 14 is be VBZ 39713 7373 15 it -PRON- PRP 39713 7373 16 according accord VBG 39713 7373 17 to to IN 39713 7373 18 the the DT 39713 7373 19 laws law NNS 39713 7373 20 of of IN 39713 7373 21 perfectly perfectly RB 39713 7373 22 elastic elastic JJ 39713 7373 23 bodies body NNS 39713 7373 24 , , , 39713 7373 25 or or CC 39713 7373 26 according accord VBG 39713 7373 27 to to IN 39713 7373 28 those those DT 39713 7373 29 of of IN 39713 7373 30 bodies body NNS 39713 7373 31 devoid devoid JJ 39713 7373 32 of of IN 39713 7373 33 elasticity elasticity NN 39713 7373 34 , , , 39713 7373 35 or or CC 39713 7373 36 according accord VBG 39713 7373 37 to to IN 39713 7373 38 an an DT 39713 7373 39 intermediate intermediate JJ 39713 7373 40 law law NN 39713 7373 41 ? ? . 39713 7374 1 The the DT 39713 7374 2 corpuscles corpuscle NNS 39713 7374 3 of of IN 39713 7374 4 Lesage lesage NN 39713 7374 5 can can MD 39713 7374 6 not not RB 39713 7374 7 act act VB 39713 7374 8 as as RB 39713 7374 9 perfectly perfectly RB 39713 7374 10 elastic elastic JJ 39713 7374 11 bodies body NNS 39713 7374 12 ; ; : 39713 7374 13 otherwise otherwise RB 39713 7374 14 the the DT 39713 7374 15 effect effect NN 39713 7374 16 would would MD 39713 7374 17 be be VB 39713 7374 18 null null JJ 39713 7374 19 , , , 39713 7374 20 since since IN 39713 7374 21 the the DT 39713 7374 22 corpuscles corpuscle NNS 39713 7374 23 intercepted intercept VBN 39713 7374 24 by by IN 39713 7374 25 the the DT 39713 7374 26 body body NN 39713 7374 27 _ _ NNP 39713 7374 28 B B NNP 39713 7374 29 _ _ NNP 39713 7374 30 would would MD 39713 7374 31 be be VB 39713 7374 32 replaced replace VBN 39713 7374 33 by by IN 39713 7374 34 others other NNS 39713 7374 35 which which WDT 39713 7374 36 would would MD 39713 7374 37 have have VB 39713 7374 38 rebounded rebound VBN 39713 7374 39 from from IN 39713 7374 40 _ _ NNP 39713 7374 41 B B NNP 39713 7374 42 _ _ NNP 39713 7374 43 , , , 39713 7374 44 and and CC 39713 7374 45 calculation calculation NN 39713 7374 46 proves prove VBZ 39713 7374 47 that that IN 39713 7374 48 the the DT 39713 7374 49 compensation compensation NN 39713 7374 50 would would MD 39713 7374 51 be be VB 39713 7374 52 perfect perfect JJ 39713 7374 53 . . . 39713 7375 1 It -PRON- PRP 39713 7375 2 is be VBZ 39713 7375 3 necessary necessary JJ 39713 7375 4 then then RB 39713 7375 5 that that IN 39713 7375 6 the the DT 39713 7375 7 impact impact NN 39713 7375 8 make make VBP 39713 7375 9 the the DT 39713 7375 10 corpuscles corpuscle NNS 39713 7375 11 lose lose VB 39713 7375 12 energy energy NN 39713 7375 13 , , , 39713 7375 14 and and CC 39713 7375 15 this this DT 39713 7375 16 energy energy NN 39713 7375 17 should should MD 39713 7375 18 appear appear VB 39713 7375 19 under under IN 39713 7375 20 the the DT 39713 7375 21 form form NN 39713 7375 22 of of IN 39713 7375 23 heat heat NN 39713 7375 24 . . . 39713 7376 1 But but CC 39713 7376 2 how how WRB 39713 7376 3 much much JJ 39713 7376 4 heat heat NN 39713 7376 5 would would MD 39713 7376 6 thus thus RB 39713 7376 7 be be VB 39713 7376 8 produced produce VBN 39713 7376 9 ? ? . 39713 7377 1 Note note VB 39713 7377 2 that that IN 39713 7377 3 attraction attraction NN 39713 7377 4 passes pass VBZ 39713 7377 5 through through IN 39713 7377 6 bodies body NNS 39713 7377 7 ; ; : 39713 7377 8 it -PRON- PRP 39713 7377 9 is be VBZ 39713 7377 10 necessary necessary JJ 39713 7377 11 therefore therefore RB 39713 7377 12 to to TO 39713 7377 13 represent represent VB 39713 7377 14 to to IN 39713 7377 15 ourselves -PRON- PRP 39713 7377 16 the the DT 39713 7377 17 earth earth NN 39713 7377 18 , , , 39713 7377 19 for for IN 39713 7377 20 example example NN 39713 7377 21 , , , 39713 7377 22 not not RB 39713 7377 23 as as IN 39713 7377 24 a a DT 39713 7377 25 solid solid JJ 39713 7377 26 screen screen NN 39713 7377 27 , , , 39713 7377 28 but but CC 39713 7377 29 as as IN 39713 7377 30 formed form VBN 39713 7377 31 of of IN 39713 7377 32 a a DT 39713 7377 33 very very RB 39713 7377 34 great great JJ 39713 7377 35 number number NN 39713 7377 36 of of IN 39713 7377 37 very very RB 39713 7377 38 small small JJ 39713 7377 39 spherical spherical JJ 39713 7377 40 molecules molecule NNS 39713 7377 41 , , , 39713 7377 42 which which WDT 39713 7377 43 play play VBP 39713 7377 44 individually individually RB 39713 7377 45 the the DT 39713 7377 46 rôle rôle NN 39713 7377 47 of of IN 39713 7377 48 little little JJ 39713 7377 49 screens screen NNS 39713 7377 50 , , , 39713 7377 51 but but CC 39713 7377 52 between between IN 39713 7377 53 which which WDT 39713 7377 54 the the DT 39713 7377 55 corpuscles corpuscle NNS 39713 7377 56 of of IN 39713 7377 57 Lesage lesage NN 39713 7377 58 may may MD 39713 7377 59 freely freely RB 39713 7377 60 circulate circulate VB 39713 7377 61 . . . 39713 7378 1 So so CC 39713 7378 2 , , , 39713 7378 3 not not RB 39713 7378 4 only only RB 39713 7378 5 the the DT 39713 7378 6 earth earth NN 39713 7378 7 is be VBZ 39713 7378 8 not not RB 39713 7378 9 a a DT 39713 7378 10 solid solid JJ 39713 7378 11 screen screen NN 39713 7378 12 , , , 39713 7378 13 but but CC 39713 7378 14 it -PRON- PRP 39713 7378 15 is be VBZ 39713 7378 16 not not RB 39713 7378 17 even even RB 39713 7378 18 a a DT 39713 7378 19 cullender cullender NN 39713 7378 20 , , , 39713 7378 21 since since IN 39713 7378 22 the the DT 39713 7378 23 voids void NNS 39713 7378 24 occupy occupy VBP 39713 7378 25 much much RB 39713 7378 26 more more JJR 39713 7378 27 space space NN 39713 7378 28 than than IN 39713 7378 29 the the DT 39713 7378 30 plenums plenum NNS 39713 7378 31 . . . 39713 7379 1 To to TO 39713 7379 2 realize realize VB 39713 7379 3 this this DT 39713 7379 4 , , , 39713 7379 5 recall recall VB 39713 7379 6 that that IN 39713 7379 7 Laplace Laplace NNP 39713 7379 8 has have VBZ 39713 7379 9 demonstrated demonstrate VBN 39713 7379 10 that that DT 39713 7379 11 attraction attraction NN 39713 7379 12 , , , 39713 7379 13 in in IN 39713 7379 14 traversing traverse VBG 39713 7379 15 the the DT 39713 7379 16 earth earth NN 39713 7379 17 , , , 39713 7379 18 is be VBZ 39713 7379 19 weakened weaken VBN 39713 7379 20 at at IN 39713 7379 21 most most RBS 39713 7379 22 by by IN 39713 7379 23 one one CD 39713 7379 24 ten ten CD 39713 7379 25 - - HYPH 39713 7379 26 millionth millionth NN 39713 7379 27 part part NN 39713 7379 28 , , , 39713 7379 29 and and CC 39713 7379 30 his -PRON- PRP$ 39713 7379 31 proof proof NN 39713 7379 32 is be VBZ 39713 7379 33 perfectly perfectly RB 39713 7379 34 satisfactory satisfactory JJ 39713 7379 35 : : : 39713 7379 36 in in IN 39713 7379 37 fact fact NN 39713 7379 38 , , , 39713 7379 39 if if IN 39713 7379 40 attraction attraction NN 39713 7379 41 were be VBD 39713 7379 42 absorbed absorb VBN 39713 7379 43 by by IN 39713 7379 44 the the DT 39713 7379 45 body body NN 39713 7379 46 it -PRON- PRP 39713 7379 47 traverses traverse VBZ 39713 7379 48 , , , 39713 7379 49 it -PRON- PRP 39713 7379 50 would would MD 39713 7379 51 no no RB 39713 7379 52 longer longer RB 39713 7379 53 be be VB 39713 7379 54 proportional proportional JJ 39713 7379 55 to to IN 39713 7379 56 the the DT 39713 7379 57 masses masse NNS 39713 7379 58 ; ; : 39713 7379 59 it -PRON- PRP 39713 7379 60 would would MD 39713 7379 61 be be VB 39713 7379 62 _ _ NNP 39713 7379 63 relatively relatively RB 39713 7379 64 _ _ IN 39713 7379 65 weaker weak JJR 39713 7379 66 for for IN 39713 7379 67 great great JJ 39713 7379 68 bodies body NNS 39713 7379 69 than than IN 39713 7379 70 for for IN 39713 7379 71 small small JJ 39713 7379 72 , , , 39713 7379 73 since since IN 39713 7379 74 it -PRON- PRP 39713 7379 75 would would MD 39713 7379 76 have have VB 39713 7379 77 a a DT 39713 7379 78 greater great JJR 39713 7379 79 thickness thickness NN 39713 7379 80 to to TO 39713 7379 81 traverse traverse VB 39713 7379 82 . . . 39713 7380 1 The the DT 39713 7380 2 attraction attraction NN 39713 7380 3 of of IN 39713 7380 4 the the DT 39713 7380 5 sun sun NN 39713 7380 6 for for IN 39713 7380 7 the the DT 39713 7380 8 earth earth NN 39713 7380 9 would would MD 39713 7380 10 therefore therefore RB 39713 7380 11 be be VB 39713 7380 12 _ _ NNP 39713 7380 13 relatively relatively RB 39713 7380 14 _ _ IN 39713 7380 15 weaker weak JJR 39713 7380 16 than than IN 39713 7380 17 that that DT 39713 7380 18 of of IN 39713 7380 19 the the DT 39713 7380 20 sun sun NN 39713 7380 21 for for IN 39713 7380 22 the the DT 39713 7380 23 moon moon NN 39713 7380 24 , , , 39713 7380 25 and and CC 39713 7380 26 thence thence NN 39713 7380 27 would would MD 39713 7380 28 result result VB 39713 7380 29 , , , 39713 7380 30 in in IN 39713 7380 31 the the DT 39713 7380 32 motion motion NN 39713 7380 33 of of IN 39713 7380 34 the the DT 39713 7380 35 moon moon NN 39713 7380 36 , , , 39713 7380 37 a a DT 39713 7380 38 very very RB 39713 7380 39 sensible sensible JJ 39713 7380 40 inequality inequality NN 39713 7380 41 . . . 39713 7381 1 We -PRON- PRP 39713 7381 2 should should MD 39713 7381 3 therefore therefore RB 39713 7381 4 conclude conclude VB 39713 7381 5 , , , 39713 7381 6 if if IN 39713 7381 7 we -PRON- PRP 39713 7381 8 adopt adopt VBP 39713 7381 9 the the DT 39713 7381 10 theory theory NN 39713 7381 11 of of IN 39713 7381 12 Lesage Lesage NNP 39713 7381 13 , , , 39713 7381 14 that that IN 39713 7381 15 the the DT 39713 7381 16 total total JJ 39713 7381 17 surface surface NN 39713 7381 18 of of IN 39713 7381 19 the the DT 39713 7381 20 spherical spherical JJ 39713 7381 21 molecules molecule NNS 39713 7381 22 which which WDT 39713 7381 23 compose compose VBD 39713 7381 24 the the DT 39713 7381 25 earth earth NN 39713 7381 26 is be VBZ 39713 7381 27 at at IN 39713 7381 28 most most JJS 39713 7381 29 the the DT 39713 7381 30 ten ten CD 39713 7381 31 - - HYPH 39713 7381 32 millionth millionth NN 39713 7381 33 part part NN 39713 7381 34 of of IN 39713 7381 35 the the DT 39713 7381 36 total total JJ 39713 7381 37 surface surface NN 39713 7381 38 of of IN 39713 7381 39 the the DT 39713 7381 40 earth earth NN 39713 7381 41 . . . 39713 7382 1 Darwin Darwin NNP 39713 7382 2 has have VBZ 39713 7382 3 proved prove VBN 39713 7382 4 that that IN 39713 7382 5 the the DT 39713 7382 6 theory theory NN 39713 7382 7 of of IN 39713 7382 8 Lesage Lesage NNP 39713 7382 9 only only RB 39713 7382 10 leads lead VBZ 39713 7382 11 exactly exactly RB 39713 7382 12 to to IN 39713 7382 13 Newton Newton NNP 39713 7382 14 's 's POS 39713 7382 15 law law NN 39713 7382 16 when when WRB 39713 7382 17 we -PRON- PRP 39713 7382 18 postulate postulate VBP 39713 7382 19 particles particle NNS 39713 7382 20 entirely entirely RB 39713 7382 21 devoid devoid JJ 39713 7382 22 of of IN 39713 7382 23 elasticity elasticity NN 39713 7382 24 . . . 39713 7383 1 The the DT 39713 7383 2 attraction attraction NN 39713 7383 3 exerted exert VBN 39713 7383 4 by by IN 39713 7383 5 the the DT 39713 7383 6 earth earth NN 39713 7383 7 on on IN 39713 7383 8 a a DT 39713 7383 9 mass mass NN 39713 7383 10 1 1 CD 39713 7383 11 at at IN 39713 7383 12 a a DT 39713 7383 13 distance distance NN 39713 7383 14 1 1 CD 39713 7383 15 will will MD 39713 7383 16 then then RB 39713 7383 17 be be VB 39713 7383 18 proportional proportional JJ 39713 7383 19 , , , 39713 7383 20 at at IN 39713 7383 21 the the DT 39713 7383 22 same same JJ 39713 7383 23 time time NN 39713 7383 24 , , , 39713 7383 25 to to IN 39713 7383 26 the the DT 39713 7383 27 total total JJ 39713 7383 28 surface surface NN 39713 7383 29 _ _ NNP 39713 7383 30 S S NNP 39713 7383 31 _ _ NNP 39713 7383 32 of of IN 39713 7383 33 the the DT 39713 7383 34 spherical spherical JJ 39713 7383 35 molecules molecule NNS 39713 7383 36 composing compose VBG 39713 7383 37 it -PRON- PRP 39713 7383 38 , , , 39713 7383 39 to to IN 39713 7383 40 the the DT 39713 7383 41 velocity velocity NN 39713 7383 42 _ _ NNP 39713 7383 43 v v NNP 39713 7383 44 _ _ NNP 39713 7383 45 of of IN 39713 7383 46 the the DT 39713 7383 47 corpuscles corpuscle NNS 39713 7383 48 , , , 39713 7383 49 to to IN 39713 7383 50 the the DT 39713 7383 51 square square JJ 39713 7383 52 root root NN 39713 7383 53 of of IN 39713 7383 54 the the DT 39713 7383 55 density density NN 39713 7383 56 [ [ -LRB- 39713 7383 57 rho rho NN 39713 7383 58 ] ] -RRB- 39713 7383 59 of of IN 39713 7383 60 the the DT 39713 7383 61 medium medium NN 39713 7383 62 formed form VBN 39713 7383 63 by by IN 39713 7383 64 the the DT 39713 7383 65 corpuscles corpuscle NNS 39713 7383 66 . . . 39713 7384 1 The the DT 39713 7384 2 heat heat NN 39713 7384 3 produced produce VBD 39713 7384 4 will will MD 39713 7384 5 be be VB 39713 7384 6 proportional proportional JJ 39713 7384 7 to to IN 39713 7384 8 _ _ NNP 39713 7384 9 S S NNP 39713 7384 10 _ _ NNP 39713 7384 11 , , , 39713 7384 12 to to IN 39713 7384 13 the the DT 39713 7384 14 density density NN 39713 7384 15 [ [ -LRB- 39713 7384 16 rho rho NN 39713 7384 17 ] ] -RRB- 39713 7384 18 , , , 39713 7384 19 and and CC 39713 7384 20 to to IN 39713 7384 21 the the DT 39713 7384 22 cube cube NN 39713 7384 23 of of IN 39713 7384 24 the the DT 39713 7384 25 velocity velocity NN 39713 7384 26 _ _ NNP 39713 7384 27 v v NNP 39713 7384 28 _ _ NNP 39713 7384 29 . . . 39713 7385 1 But but CC 39713 7385 2 it -PRON- PRP 39713 7385 3 is be VBZ 39713 7385 4 necessary necessary JJ 39713 7385 5 to to TO 39713 7385 6 take take VB 39713 7385 7 account account NN 39713 7385 8 of of IN 39713 7385 9 the the DT 39713 7385 10 resistance resistance NN 39713 7385 11 experienced experience VBN 39713 7385 12 by by IN 39713 7385 13 a a DT 39713 7385 14 body body NN 39713 7385 15 moving move VBG 39713 7385 16 in in IN 39713 7385 17 such such PDT 39713 7385 18 a a DT 39713 7385 19 medium medium NN 39713 7385 20 ; ; : 39713 7385 21 it -PRON- PRP 39713 7385 22 can can MD 39713 7385 23 not not RB 39713 7385 24 move move VB 39713 7385 25 , , , 39713 7385 26 in in IN 39713 7385 27 fact fact NN 39713 7385 28 , , , 39713 7385 29 without without IN 39713 7385 30 going go VBG 39713 7385 31 against against IN 39713 7385 32 certain certain JJ 39713 7385 33 impacts impact NNS 39713 7385 34 , , , 39713 7385 35 in in IN 39713 7385 36 fleeing flee VBG 39713 7385 37 , , , 39713 7385 38 on on IN 39713 7385 39 the the DT 39713 7385 40 contrary contrary NN 39713 7385 41 , , , 39713 7385 42 before before IN 39713 7385 43 those those DT 39713 7385 44 coming come VBG 39713 7385 45 in in IN 39713 7385 46 the the DT 39713 7385 47 opposite opposite JJ 39713 7385 48 direction direction NN 39713 7385 49 , , , 39713 7385 50 so so IN 39713 7385 51 that that IN 39713 7385 52 the the DT 39713 7385 53 compensation compensation NN 39713 7385 54 realized realize VBN 39713 7385 55 in in IN 39713 7385 56 the the DT 39713 7385 57 state state NN 39713 7385 58 of of IN 39713 7385 59 rest rest NN 39713 7385 60 can can MD 39713 7385 61 no no RB 39713 7385 62 longer long RBR 39713 7385 63 subsist subsist VB 39713 7385 64 . . . 39713 7386 1 The the DT 39713 7386 2 calculated calculate VBN 39713 7386 3 resistance resistance NN 39713 7386 4 is be VBZ 39713 7386 5 proportional proportional JJ 39713 7386 6 to to IN 39713 7386 7 _ _ NNP 39713 7386 8 S S NNP 39713 7386 9 _ _ NNP 39713 7386 10 , , , 39713 7386 11 to to IN 39713 7386 12 [ [ -LRB- 39713 7386 13 rho rho NN 39713 7386 14 ] ] -RRB- 39713 7386 15 and and CC 39713 7386 16 to to IN 39713 7386 17 _ _ NNP 39713 7386 18 v v NNP 39713 7386 19 _ _ NNP 39713 7386 20 ; ; : 39713 7386 21 now now RB 39713 7386 22 , , , 39713 7386 23 we -PRON- PRP 39713 7386 24 know know VBP 39713 7386 25 that that IN 39713 7386 26 the the DT 39713 7386 27 heavenly heavenly JJ 39713 7386 28 bodies body NNS 39713 7386 29 move move VBP 39713 7386 30 as as IN 39713 7386 31 if if IN 39713 7386 32 they -PRON- PRP 39713 7386 33 experienced experience VBD 39713 7386 34 no no DT 39713 7386 35 resistance resistance NN 39713 7386 36 , , , 39713 7386 37 and and CC 39713 7386 38 the the DT 39713 7386 39 precision precision NN 39713 7386 40 of of IN 39713 7386 41 observations observation NNS 39713 7386 42 permits permit VBZ 39713 7386 43 us -PRON- PRP 39713 7386 44 to to TO 39713 7386 45 fix fix VB 39713 7386 46 a a DT 39713 7386 47 limit limit NN 39713 7386 48 to to IN 39713 7386 49 the the DT 39713 7386 50 resistance resistance NN 39713 7386 51 of of IN 39713 7386 52 the the DT 39713 7386 53 medium medium NN 39713 7386 54 . . . 39713 7387 1 This this DT 39713 7387 2 resistance resistance NN 39713 7387 3 varying vary VBG 39713 7387 4 as as IN 39713 7387 5 _ _ NNP 39713 7387 6 S_[rho]_v S_[rho]_v NNP 39713 7387 7 _ _ NNP 39713 7387 8 , , , 39713 7387 9 while while IN 39713 7387 10 the the DT 39713 7387 11 attraction attraction NN 39713 7387 12 varies vary VBZ 39713 7387 13 as as IN 39713 7387 14 _ _ NNP 39713 7387 15 S_{sqrt([rho]_v S_{sqrt([rho]_v NNP 39713 7387 16 _ _ NNP 39713 7387 17 ) ) -RRB- 39713 7387 18 } } -RRB- 39713 7387 19 , , , 39713 7387 20 we -PRON- PRP 39713 7387 21 see see VBP 39713 7387 22 that that IN 39713 7387 23 the the DT 39713 7387 24 ratio ratio NN 39713 7387 25 of of IN 39713 7387 26 the the DT 39713 7387 27 resistance resistance NN 39713 7387 28 to to IN 39713 7387 29 the the DT 39713 7387 30 square square NN 39713 7387 31 of of IN 39713 7387 32 the the DT 39713 7387 33 attraction attraction NN 39713 7387 34 is be VBZ 39713 7387 35 inversely inversely RB 39713 7387 36 as as IN 39713 7387 37 the the DT 39713 7387 38 product product NN 39713 7387 39 _ _ NNP 39713 7387 40 Sv Sv NNP 39713 7387 41 _ _ NNP 39713 7387 42 . . . 39713 7388 1 We -PRON- PRP 39713 7388 2 have have VBP 39713 7388 3 therefore therefore RB 39713 7388 4 a a DT 39713 7388 5 lower low JJR 39713 7388 6 limit limit NN 39713 7388 7 of of IN 39713 7388 8 the the DT 39713 7388 9 product product NN 39713 7388 10 _ _ NNP 39713 7388 11 Sv Sv NNP 39713 7388 12 _ _ NNP 39713 7388 13 . . . 39713 7389 1 We -PRON- PRP 39713 7389 2 have have VBP 39713 7389 3 already already RB 39713 7389 4 an an DT 39713 7389 5 upper upper JJ 39713 7389 6 limit limit NN 39713 7389 7 of of IN 39713 7389 8 _ _ NNP 39713 7389 9 S S NNP 39713 7389 10 _ _ NNP 39713 7389 11 ( ( -LRB- 39713 7389 12 by by IN 39713 7389 13 the the DT 39713 7389 14 absorption absorption NN 39713 7389 15 of of IN 39713 7389 16 attraction attraction NN 39713 7389 17 by by IN 39713 7389 18 the the DT 39713 7389 19 body body NN 39713 7389 20 it -PRON- PRP 39713 7389 21 traverses traverse VBZ 39713 7389 22 ) ) -RRB- 39713 7389 23 ; ; : 39713 7389 24 we -PRON- PRP 39713 7389 25 have have VBP 39713 7389 26 therefore therefore RB 39713 7389 27 a a DT 39713 7389 28 lower low JJR 39713 7389 29 limit limit NN 39713 7389 30 of of IN 39713 7389 31 the the DT 39713 7389 32 velocity velocity NN 39713 7389 33 _ _ NNP 39713 7389 34 v v NNP 39713 7389 35 _ _ NNP 39713 7389 36 , , , 39713 7389 37 which which WDT 39713 7389 38 must must MD 39713 7389 39 be be VB 39713 7389 40 at at RB 39713 7389 41 least least JJS 39713 7389 42 24·10^{17 24·10^{17 CD 39713 7389 43 } } -RRB- 39713 7389 44 times time NNS 39713 7389 45 that that DT 39713 7389 46 of of IN 39713 7389 47 light light NN 39713 7389 48 . . . 39713 7390 1 From from IN 39713 7390 2 this this DT 39713 7390 3 we -PRON- PRP 39713 7390 4 are be VBP 39713 7390 5 able able JJ 39713 7390 6 to to TO 39713 7390 7 deduce deduce VB 39713 7390 8 [ [ -LRB- 39713 7390 9 rho rho NN 39713 7390 10 ] ] -RRB- 39713 7390 11 and and CC 39713 7390 12 the the DT 39713 7390 13 quantity quantity NN 39713 7390 14 of of IN 39713 7390 15 heat heat NN 39713 7390 16 produced produce VBN 39713 7390 17 ; ; : 39713 7390 18 this this DT 39713 7390 19 quantity quantity NN 39713 7390 20 would would MD 39713 7390 21 suffice suffice VB 39713 7390 22 to to TO 39713 7390 23 raise raise VB 39713 7390 24 the the DT 39713 7390 25 temperature temperature NN 39713 7390 26 10^{26 10^{26 NNS 39713 7390 27 } } -RRB- 39713 7390 28 degrees degree NNS 39713 7390 29 a a DT 39713 7390 30 second second NN 39713 7390 31 ; ; : 39713 7390 32 the the DT 39713 7390 33 earth earth NN 39713 7390 34 would would MD 39713 7390 35 receive receive VB 39713 7390 36 in in IN 39713 7390 37 a a DT 39713 7390 38 given give VBN 39713 7390 39 time time NN 39713 7390 40 10^{20 10^{20 NNS 39713 7390 41 } } -RRB- 39713 7390 42 times time NNS 39713 7390 43 more more JJR 39713 7390 44 heat heat NN 39713 7390 45 than than IN 39713 7390 46 the the DT 39713 7390 47 sun sun NN 39713 7390 48 emits emit VBZ 39713 7390 49 in in IN 39713 7390 50 the the DT 39713 7390 51 same same JJ 39713 7390 52 time time NN 39713 7390 53 ; ; : 39713 7390 54 I -PRON- PRP 39713 7390 55 am be VBP 39713 7390 56 not not RB 39713 7390 57 speaking speak VBG 39713 7390 58 of of IN 39713 7390 59 the the DT 39713 7390 60 heat heat NN 39713 7390 61 the the DT 39713 7390 62 sun sun NN 39713 7390 63 sends send VBZ 39713 7390 64 to to IN 39713 7390 65 the the DT 39713 7390 66 earth earth NN 39713 7390 67 , , , 39713 7390 68 but but CC 39713 7390 69 of of IN 39713 7390 70 that that DT 39713 7390 71 it -PRON- PRP 39713 7390 72 radiates radiate VBZ 39713 7390 73 in in IN 39713 7390 74 all all DT 39713 7390 75 directions direction NNS 39713 7390 76 . . . 39713 7391 1 It -PRON- PRP 39713 7391 2 is be VBZ 39713 7391 3 evident evident JJ 39713 7391 4 the the DT 39713 7391 5 earth earth NN 39713 7391 6 could could MD 39713 7391 7 not not RB 39713 7391 8 long long RB 39713 7391 9 stand stand VB 39713 7391 10 such such PDT 39713 7391 11 a a DT 39713 7391 12 régime régime NN 39713 7391 13 . . . 39713 7392 1 We -PRON- PRP 39713 7392 2 should should MD 39713 7392 3 not not RB 39713 7392 4 be be VB 39713 7392 5 led lead VBN 39713 7392 6 to to IN 39713 7392 7 results result NNS 39713 7392 8 less less RBR 39713 7392 9 fantastic fantastic JJ 39713 7392 10 if if IN 39713 7392 11 , , , 39713 7392 12 contrary contrary JJ 39713 7392 13 to to IN 39713 7392 14 Darwin Darwin NNP 39713 7392 15 's 's POS 39713 7392 16 views view NNS 39713 7392 17 , , , 39713 7392 18 we -PRON- PRP 39713 7392 19 endowed endow VBD 39713 7392 20 the the DT 39713 7392 21 corpuscles corpuscle NNS 39713 7392 22 of of IN 39713 7392 23 Lesage lesage NN 39713 7392 24 with with IN 39713 7392 25 an an DT 39713 7392 26 elasticity elasticity NN 39713 7392 27 imperfect imperfect JJ 39713 7392 28 without without IN 39713 7392 29 being be VBG 39713 7392 30 null null JJ 39713 7392 31 . . . 39713 7393 1 In in IN 39713 7393 2 truth truth NN 39713 7393 3 , , , 39713 7393 4 the the DT 39713 7393 5 vis vis FW 39713 7393 6 viva viva FW 39713 7393 7 of of IN 39713 7393 8 these these DT 39713 7393 9 corpuscles corpuscle NNS 39713 7393 10 would would MD 39713 7393 11 not not RB 39713 7393 12 be be VB 39713 7393 13 entirely entirely RB 39713 7393 14 converted convert VBN 39713 7393 15 into into IN 39713 7393 16 heat heat NN 39713 7393 17 , , , 39713 7393 18 but but CC 39713 7393 19 the the DT 39713 7393 20 attraction attraction NN 39713 7393 21 produced produce VBN 39713 7393 22 would would MD 39713 7393 23 likewise likewise RB 39713 7393 24 be be VB 39713 7393 25 less less JJR 39713 7393 26 , , , 39713 7393 27 so so IN 39713 7393 28 that that IN 39713 7393 29 it -PRON- PRP 39713 7393 30 would would MD 39713 7393 31 be be VB 39713 7393 32 only only RB 39713 7393 33 the the DT 39713 7393 34 part part NN 39713 7393 35 of of IN 39713 7393 36 this this DT 39713 7393 37 vis vis FW 39713 7393 38 viva viva FW 39713 7393 39 converted convert VBD 39713 7393 40 into into IN 39713 7393 41 heat heat NN 39713 7393 42 , , , 39713 7393 43 which which WDT 39713 7393 44 would would MD 39713 7393 45 contribute contribute VB 39713 7393 46 to to TO 39713 7393 47 produce produce VB 39713 7393 48 the the DT 39713 7393 49 attraction attraction NN 39713 7393 50 and and CC 39713 7393 51 that that DT 39713 7393 52 would would MD 39713 7393 53 come come VB 39713 7393 54 to to IN 39713 7393 55 the the DT 39713 7393 56 same same JJ 39713 7393 57 thing thing NN 39713 7393 58 ; ; : 39713 7393 59 a a DT 39713 7393 60 judicious judicious JJ 39713 7393 61 employment employment NN 39713 7393 62 of of IN 39713 7393 63 the the DT 39713 7393 64 theorem theorem NN 39713 7393 65 of of IN 39713 7393 66 the the DT 39713 7393 67 viriel viriel NN 39713 7393 68 would would MD 39713 7393 69 enable enable VB 39713 7393 70 us -PRON- PRP 39713 7393 71 to to TO 39713 7393 72 account account VB 39713 7393 73 for for IN 39713 7393 74 this this DT 39713 7393 75 . . . 39713 7394 1 The the DT 39713 7394 2 theory theory NN 39713 7394 3 of of IN 39713 7394 4 Lesage lesage NN 39713 7394 5 may may MD 39713 7394 6 be be VB 39713 7394 7 transformed transform VBN 39713 7394 8 ; ; : 39713 7394 9 suppress suppress VB 39713 7394 10 the the DT 39713 7394 11 corpuscles corpuscle NNS 39713 7394 12 and and CC 39713 7394 13 imagine imagine VB 39713 7394 14 the the DT 39713 7394 15 ether ether NN 39713 7394 16 overrun overrun NN 39713 7394 17 in in IN 39713 7394 18 all all DT 39713 7394 19 senses sense NNS 39713 7394 20 by by IN 39713 7394 21 luminous luminous JJ 39713 7394 22 waves wave NNS 39713 7394 23 coming come VBG 39713 7394 24 from from IN 39713 7394 25 all all DT 39713 7394 26 points point NNS 39713 7394 27 of of IN 39713 7394 28 space space NN 39713 7394 29 . . . 39713 7395 1 When when WRB 39713 7395 2 a a DT 39713 7395 3 material material JJ 39713 7395 4 object object NN 39713 7395 5 receives receive VBZ 39713 7395 6 a a DT 39713 7395 7 luminous luminous JJ 39713 7395 8 wave wave NN 39713 7395 9 , , , 39713 7395 10 this this DT 39713 7395 11 wave wave NN 39713 7395 12 exercises exercise VBZ 39713 7395 13 upon upon IN 39713 7395 14 it -PRON- PRP 39713 7395 15 a a DT 39713 7395 16 mechanical mechanical JJ 39713 7395 17 action action NN 39713 7395 18 due due IN 39713 7395 19 to to IN 39713 7395 20 the the DT 39713 7395 21 Maxwell Maxwell NNP 39713 7395 22 - - HYPH 39713 7395 23 Bartholi Bartholi NNP 39713 7395 24 pressure pressure NN 39713 7395 25 , , , 39713 7395 26 just just RB 39713 7395 27 as as IN 39713 7395 28 if if IN 39713 7395 29 it -PRON- PRP 39713 7395 30 had have VBD 39713 7395 31 received receive VBN 39713 7395 32 the the DT 39713 7395 33 impact impact NN 39713 7395 34 of of IN 39713 7395 35 a a DT 39713 7395 36 material material JJ 39713 7395 37 projectile projectile NN 39713 7395 38 . . . 39713 7396 1 The the DT 39713 7396 2 waves wave NNS 39713 7396 3 in in IN 39713 7396 4 question question NN 39713 7396 5 could could MD 39713 7396 6 therefore therefore RB 39713 7396 7 play play VB 39713 7396 8 the the DT 39713 7396 9 rôle rôle NN 39713 7396 10 of of IN 39713 7396 11 the the DT 39713 7396 12 corpuscles corpuscle NNS 39713 7396 13 of of IN 39713 7396 14 Lesage lesage NN 39713 7396 15 . . . 39713 7397 1 This this DT 39713 7397 2 is be VBZ 39713 7397 3 what what WP 39713 7397 4 is be VBZ 39713 7397 5 supposed suppose VBN 39713 7397 6 , , , 39713 7397 7 for for IN 39713 7397 8 example example NN 39713 7397 9 , , , 39713 7397 10 by by IN 39713 7397 11 M. M. NNP 39713 7397 12 Tommasina Tommasina NNP 39713 7397 13 . . . 39713 7398 1 The the DT 39713 7398 2 difficulties difficulty NNS 39713 7398 3 are be VBP 39713 7398 4 not not RB 39713 7398 5 removed remove VBN 39713 7398 6 for for IN 39713 7398 7 all all PDT 39713 7398 8 that that DT 39713 7398 9 ; ; : 39713 7398 10 the the DT 39713 7398 11 velocity velocity NN 39713 7398 12 of of IN 39713 7398 13 propagation propagation NN 39713 7398 14 can can MD 39713 7398 15 be be VB 39713 7398 16 only only RB 39713 7398 17 that that DT 39713 7398 18 of of IN 39713 7398 19 light light NN 39713 7398 20 , , , 39713 7398 21 and and CC 39713 7398 22 we -PRON- PRP 39713 7398 23 are be VBP 39713 7398 24 thus thus RB 39713 7398 25 led lead VBN 39713 7398 26 , , , 39713 7398 27 for for IN 39713 7398 28 the the DT 39713 7398 29 resistance resistance NN 39713 7398 30 of of IN 39713 7398 31 the the DT 39713 7398 32 medium medium NN 39713 7398 33 , , , 39713 7398 34 to to IN 39713 7398 35 an an DT 39713 7398 36 inadmissible inadmissible JJ 39713 7398 37 figure figure NN 39713 7398 38 . . . 39713 7399 1 Besides besides IN 39713 7399 2 , , , 39713 7399 3 if if IN 39713 7399 4 the the DT 39713 7399 5 light light NN 39713 7399 6 is be VBZ 39713 7399 7 all all DT 39713 7399 8 reflected reflect VBN 39713 7399 9 , , , 39713 7399 10 the the DT 39713 7399 11 effect effect NN 39713 7399 12 is be VBZ 39713 7399 13 null null JJ 39713 7399 14 , , , 39713 7399 15 just just RB 39713 7399 16 as as IN 39713 7399 17 in in IN 39713 7399 18 the the DT 39713 7399 19 hypothesis hypothesis NN 39713 7399 20 of of IN 39713 7399 21 the the DT 39713 7399 22 perfectly perfectly RB 39713 7399 23 elastic elastic JJ 39713 7399 24 corpuscles corpuscle NNS 39713 7399 25 . . . 39713 7400 1 That that IN 39713 7400 2 there there EX 39713 7400 3 should should MD 39713 7400 4 be be VB 39713 7400 5 attraction attraction NN 39713 7400 6 , , , 39713 7400 7 it -PRON- PRP 39713 7400 8 is be VBZ 39713 7400 9 necessary necessary JJ 39713 7400 10 that that IN 39713 7400 11 the the DT 39713 7400 12 light light NN 39713 7400 13 be be VB 39713 7400 14 partially partially RB 39713 7400 15 absorbed absorb VBN 39713 7400 16 ; ; : 39713 7400 17 but but CC 39713 7400 18 then then RB 39713 7400 19 there there EX 39713 7400 20 is be VBZ 39713 7400 21 production production NN 39713 7400 22 of of IN 39713 7400 23 heat heat NN 39713 7400 24 . . . 39713 7401 1 The the DT 39713 7401 2 calculations calculation NNS 39713 7401 3 do do VBP 39713 7401 4 not not RB 39713 7401 5 differ differ VB 39713 7401 6 essentially essentially RB 39713 7401 7 from from IN 39713 7401 8 those those DT 39713 7401 9 made make VBN 39713 7401 10 in in IN 39713 7401 11 the the DT 39713 7401 12 ordinary ordinary JJ 39713 7401 13 theory theory NN 39713 7401 14 of of IN 39713 7401 15 Lesage Lesage NNP 39713 7401 16 , , , 39713 7401 17 and and CC 39713 7401 18 the the DT 39713 7401 19 result result NN 39713 7401 20 retains retain VBZ 39713 7401 21 the the DT 39713 7401 22 same same JJ 39713 7401 23 fantastic fantastic JJ 39713 7401 24 character character NN 39713 7401 25 . . . 39713 7402 1 On on IN 39713 7402 2 the the DT 39713 7402 3 other other JJ 39713 7402 4 hand hand NN 39713 7402 5 , , , 39713 7402 6 attraction attraction NN 39713 7402 7 is be VBZ 39713 7402 8 not not RB 39713 7402 9 absorbed absorb VBN 39713 7402 10 by by IN 39713 7402 11 the the DT 39713 7402 12 body body NN 39713 7402 13 it -PRON- PRP 39713 7402 14 traverses traverse VBZ 39713 7402 15 , , , 39713 7402 16 or or CC 39713 7402 17 hardly hardly RB 39713 7402 18 at at RB 39713 7402 19 all all RB 39713 7402 20 ; ; : 39713 7402 21 it -PRON- PRP 39713 7402 22 is be VBZ 39713 7402 23 not not RB 39713 7402 24 so so RB 39713 7402 25 with with IN 39713 7402 26 the the DT 39713 7402 27 light light NN 39713 7402 28 we -PRON- PRP 39713 7402 29 know know VBP 39713 7402 30 . . . 39713 7403 1 Light light NN 39713 7403 2 which which WDT 39713 7403 3 would would MD 39713 7403 4 produce produce VB 39713 7403 5 the the DT 39713 7403 6 Newtonian newtonian JJ 39713 7403 7 attraction attraction NN 39713 7403 8 would would MD 39713 7403 9 have have VB 39713 7403 10 to to TO 39713 7403 11 be be VB 39713 7403 12 considerably considerably RB 39713 7403 13 different different JJ 39713 7403 14 from from IN 39713 7403 15 ordinary ordinary JJ 39713 7403 16 light light NN 39713 7403 17 and and CC 39713 7403 18 be be VB 39713 7403 19 , , , 39713 7403 20 for for IN 39713 7403 21 example example NN 39713 7403 22 , , , 39713 7403 23 of of IN 39713 7403 24 very very RB 39713 7403 25 short short JJ 39713 7403 26 wave wave NN 39713 7403 27 length length NN 39713 7403 28 . . . 39713 7404 1 This this DT 39713 7404 2 does do VBZ 39713 7404 3 not not RB 39713 7404 4 count count VB 39713 7404 5 that that IN 39713 7404 6 , , , 39713 7404 7 if if IN 39713 7404 8 our -PRON- PRP$ 39713 7404 9 eyes eye NNS 39713 7404 10 were be VBD 39713 7404 11 sensible sensible JJ 39713 7404 12 of of IN 39713 7404 13 this this DT 39713 7404 14 light light NN 39713 7404 15 , , , 39713 7404 16 the the DT 39713 7404 17 whole whole JJ 39713 7404 18 heavens heaven NNS 39713 7404 19 should should MD 39713 7404 20 appear appear VB 39713 7404 21 to to IN 39713 7404 22 us -PRON- PRP 39713 7404 23 much much RB 39713 7404 24 more more RBR 39713 7404 25 brilliant brilliant JJ 39713 7404 26 than than IN 39713 7404 27 the the DT 39713 7404 28 sun sun NN 39713 7404 29 , , , 39713 7404 30 so so IN 39713 7404 31 that that IN 39713 7404 32 the the DT 39713 7404 33 sun sun NN 39713 7404 34 would would MD 39713 7404 35 seem seem VB 39713 7404 36 to to IN 39713 7404 37 us -PRON- PRP 39713 7404 38 to to TO 39713 7404 39 stand stand VB 39713 7404 40 out out RP 39713 7404 41 in in IN 39713 7404 42 black black JJ 39713 7404 43 , , , 39713 7404 44 otherwise otherwise RB 39713 7404 45 the the DT 39713 7404 46 sun sun NN 39713 7404 47 would would MD 39713 7404 48 repel repel VB 39713 7404 49 us -PRON- PRP 39713 7404 50 instead instead RB 39713 7404 51 of of IN 39713 7404 52 attracting attract VBG 39713 7404 53 us -PRON- PRP 39713 7404 54 . . . 39713 7405 1 For for IN 39713 7405 2 all all PDT 39713 7405 3 these these DT 39713 7405 4 reasons reason NNS 39713 7405 5 , , , 39713 7405 6 light light NN 39713 7405 7 which which WDT 39713 7405 8 would would MD 39713 7405 9 permit permit VB 39713 7405 10 of of IN 39713 7405 11 the the DT 39713 7405 12 explanation explanation NN 39713 7405 13 of of IN 39713 7405 14 attraction attraction NN 39713 7405 15 would would MD 39713 7405 16 be be VB 39713 7405 17 much much RB 39713 7405 18 more more JJR 39713 7405 19 like like IN 39713 7405 20 Röntgen Röntgen NNP 39713 7405 21 rays ray NNS 39713 7405 22 than than IN 39713 7405 23 like like IN 39713 7405 24 ordinary ordinary JJ 39713 7405 25 light light NN 39713 7405 26 . . . 39713 7406 1 And and CC 39713 7406 2 besides besides RB 39713 7406 3 , , , 39713 7406 4 the the DT 39713 7406 5 X X NNS 39713 7406 6 - - NNS 39713 7406 7 rays ray NNS 39713 7406 8 would would MD 39713 7406 9 not not RB 39713 7406 10 suffice suffice VB 39713 7406 11 ; ; : 39713 7406 12 however however RB 39713 7406 13 penetrating penetrating NN 39713 7406 14 they -PRON- PRP 39713 7406 15 may may MD 39713 7406 16 seem seem VB 39713 7406 17 to to IN 39713 7406 18 us -PRON- PRP 39713 7406 19 , , , 39713 7406 20 they -PRON- PRP 39713 7406 21 could could MD 39713 7406 22 not not RB 39713 7406 23 pass pass VB 39713 7406 24 through through RP 39713 7406 25 the the DT 39713 7406 26 whole whole JJ 39713 7406 27 earth earth NN 39713 7406 28 ; ; : 39713 7406 29 it -PRON- PRP 39713 7406 30 would would MD 39713 7406 31 be be VB 39713 7406 32 necessary necessary JJ 39713 7406 33 therefore therefore RB 39713 7406 34 to to TO 39713 7406 35 imagine imagine VB 39713 7406 36 X'-rays x'-ray NNS 39713 7406 37 much much RB 39713 7406 38 more more JJR 39713 7406 39 penetrating penetrating NN 39713 7406 40 than than IN 39713 7406 41 the the DT 39713 7406 42 ordinary ordinary JJ 39713 7406 43 X X NNS 39713 7406 44 - - NNS 39713 7406 45 rays ray NNS 39713 7406 46 . . . 39713 7407 1 Moreover moreover RB 39713 7407 2 a a DT 39713 7407 3 part part NN 39713 7407 4 of of IN 39713 7407 5 the the DT 39713 7407 6 energy energy NN 39713 7407 7 of of IN 39713 7407 8 these these DT 39713 7407 9 X'-rays x'-ray NNS 39713 7407 10 would would MD 39713 7407 11 have have VB 39713 7407 12 to to TO 39713 7407 13 be be VB 39713 7407 14 destroyed destroy VBN 39713 7407 15 , , , 39713 7407 16 otherwise otherwise RB 39713 7407 17 there there EX 39713 7407 18 would would MD 39713 7407 19 be be VB 39713 7407 20 no no DT 39713 7407 21 attraction attraction NN 39713 7407 22 . . . 39713 7408 1 If if IN 39713 7408 2 you -PRON- PRP 39713 7408 3 do do VBP 39713 7408 4 not not RB 39713 7408 5 wish wish VB 39713 7408 6 it -PRON- PRP 39713 7408 7 transformed transform VBN 39713 7408 8 into into IN 39713 7408 9 heat heat NN 39713 7408 10 , , , 39713 7408 11 which which WDT 39713 7408 12 would would MD 39713 7408 13 lead lead VB 39713 7408 14 to to IN 39713 7408 15 an an DT 39713 7408 16 enormous enormous JJ 39713 7408 17 heat heat NN 39713 7408 18 production production NN 39713 7408 19 , , , 39713 7408 20 you -PRON- PRP 39713 7408 21 must must MD 39713 7408 22 suppose suppose VB 39713 7408 23 it -PRON- PRP 39713 7408 24 radiated radiate VBD 39713 7408 25 in in IN 39713 7408 26 every every DT 39713 7408 27 direction direction NN 39713 7408 28 under under IN 39713 7408 29 the the DT 39713 7408 30 form form NN 39713 7408 31 of of IN 39713 7408 32 secondary secondary JJ 39713 7408 33 rays ray NNS 39713 7408 34 , , , 39713 7408 35 which which WDT 39713 7408 36 might may MD 39713 7408 37 be be VB 39713 7408 38 called call VBN 39713 7408 39 X X NNP 39713 7408 40 ' ' '' 39713 7408 41 ' ' '' 39713 7408 42 and and CC 39713 7408 43 which which WDT 39713 7408 44 would would MD 39713 7408 45 have have VB 39713 7408 46 to to TO 39713 7408 47 be be VB 39713 7408 48 much much RB 39713 7408 49 more more JJR 39713 7408 50 penetrating penetrating NN 39713 7408 51 still still RB 39713 7408 52 than than IN 39713 7408 53 the the DT 39713 7408 54 X'-rays x'-ray NNS 39713 7408 55 , , , 39713 7408 56 otherwise otherwise RB 39713 7408 57 they -PRON- PRP 39713 7408 58 would would MD 39713 7408 59 in in IN 39713 7408 60 their -PRON- PRP$ 39713 7408 61 turn turn NN 39713 7408 62 derange derange NN 39713 7408 63 the the DT 39713 7408 64 phenomena phenomenon NNS 39713 7408 65 of of IN 39713 7408 66 attraction attraction NN 39713 7408 67 . . . 39713 7409 1 Such such JJ 39713 7409 2 are be VBP 39713 7409 3 the the DT 39713 7409 4 complicated complicated JJ 39713 7409 5 hypotheses hypothesis NNS 39713 7409 6 to to TO 39713 7409 7 which which WDT 39713 7409 8 we -PRON- PRP 39713 7409 9 are be VBP 39713 7409 10 led lead VBN 39713 7409 11 when when WRB 39713 7409 12 we -PRON- PRP 39713 7409 13 try try VBP 39713 7409 14 to to TO 39713 7409 15 give give VB 39713 7409 16 life life NN 39713 7409 17 to to IN 39713 7409 18 the the DT 39713 7409 19 theory theory NN 39713 7409 20 of of IN 39713 7409 21 Lesage Lesage NNP 39713 7409 22 . . . 39713 7410 1 But but CC 39713 7410 2 all all DT 39713 7410 3 we -PRON- PRP 39713 7410 4 have have VBP 39713 7410 5 said say VBD 39713 7410 6 presupposes presuppose NNS 39713 7410 7 the the DT 39713 7410 8 ordinary ordinary JJ 39713 7410 9 laws law NNS 39713 7410 10 of of IN 39713 7410 11 mechanics mechanic NNS 39713 7410 12 . . . 39713 7411 1 Will Will MD 39713 7411 2 things thing NNS 39713 7411 3 go go VB 39713 7411 4 better better RB 39713 7411 5 if if IN 39713 7411 6 we -PRON- PRP 39713 7411 7 admit admit VBP 39713 7411 8 the the DT 39713 7411 9 new new JJ 39713 7411 10 dynamics dynamic NNS 39713 7411 11 ? ? . 39713 7412 1 And and CC 39713 7412 2 first first RB 39713 7412 3 , , , 39713 7412 4 can can MD 39713 7412 5 we -PRON- PRP 39713 7412 6 conserve conserve VB 39713 7412 7 the the DT 39713 7412 8 principles principle NNS 39713 7412 9 of of IN 39713 7412 10 relativity relativity NN 39713 7412 11 ? ? . 39713 7413 1 Let let VB 39713 7413 2 us -PRON- PRP 39713 7413 3 give give VB 39713 7413 4 at at IN 39713 7413 5 first first RB 39713 7413 6 to to IN 39713 7413 7 the the DT 39713 7413 8 theory theory NN 39713 7413 9 of of IN 39713 7413 10 Lesage lesage NN 39713 7413 11 its -PRON- PRP$ 39713 7413 12 primitive primitive JJ 39713 7413 13 form form NN 39713 7413 14 , , , 39713 7413 15 and and CC 39713 7413 16 suppose suppose VB 39713 7413 17 space space NN 39713 7413 18 ploughed plough VBN 39713 7413 19 by by IN 39713 7413 20 material material NN 39713 7413 21 corpuscles corpuscle NNS 39713 7413 22 ; ; : 39713 7413 23 if if IN 39713 7413 24 these these DT 39713 7413 25 corpuscles corpuscle NNS 39713 7413 26 were be VBD 39713 7413 27 perfectly perfectly RB 39713 7413 28 elastic elastic JJ 39713 7413 29 , , , 39713 7413 30 the the DT 39713 7413 31 laws law NNS 39713 7413 32 of of IN 39713 7413 33 their -PRON- PRP$ 39713 7413 34 impact impact NN 39713 7413 35 would would MD 39713 7413 36 conform conform VB 39713 7413 37 to to IN 39713 7413 38 this this DT 39713 7413 39 principle principle NN 39713 7413 40 of of IN 39713 7413 41 relativity relativity NN 39713 7413 42 , , , 39713 7413 43 but but CC 39713 7413 44 we -PRON- PRP 39713 7413 45 know know VBP 39713 7413 46 that that IN 39713 7413 47 then then RB 39713 7413 48 their -PRON- PRP$ 39713 7413 49 effect effect NN 39713 7413 50 would would MD 39713 7413 51 be be VB 39713 7413 52 null null JJ 39713 7413 53 . . . 39713 7414 1 We -PRON- PRP 39713 7414 2 must must MD 39713 7414 3 therefore therefore RB 39713 7414 4 suppose suppose VB 39713 7414 5 these these DT 39713 7414 6 corpuscles corpuscle NNS 39713 7414 7 are be VBP 39713 7414 8 not not RB 39713 7414 9 elastic elastic JJ 39713 7414 10 , , , 39713 7414 11 and and CC 39713 7414 12 then then RB 39713 7414 13 it -PRON- PRP 39713 7414 14 is be VBZ 39713 7414 15 difficult difficult JJ 39713 7414 16 to to TO 39713 7414 17 imagine imagine VB 39713 7414 18 a a DT 39713 7414 19 law law NN 39713 7414 20 of of IN 39713 7414 21 impact impact NN 39713 7414 22 compatible compatible JJ 39713 7414 23 with with IN 39713 7414 24 the the DT 39713 7414 25 principle principle NN 39713 7414 26 of of IN 39713 7414 27 relativity relativity NN 39713 7414 28 . . . 39713 7415 1 Besides besides RB 39713 7415 2 , , , 39713 7415 3 we -PRON- PRP 39713 7415 4 should should MD 39713 7415 5 still still RB 39713 7415 6 find find VB 39713 7415 7 a a DT 39713 7415 8 production production NN 39713 7415 9 of of IN 39713 7415 10 considerable considerable JJ 39713 7415 11 heat heat NN 39713 7415 12 , , , 39713 7415 13 and and CC 39713 7415 14 yet yet RB 39713 7415 15 a a DT 39713 7415 16 very very RB 39713 7415 17 sensible sensible JJ 39713 7415 18 resistance resistance NN 39713 7415 19 of of IN 39713 7415 20 the the DT 39713 7415 21 medium medium NN 39713 7415 22 . . . 39713 7416 1 If if IN 39713 7416 2 we -PRON- PRP 39713 7416 3 suppress suppress VBP 39713 7416 4 these these DT 39713 7416 5 corpuscles corpuscle NNS 39713 7416 6 and and CC 39713 7416 7 revert revert NN 39713 7416 8 to to IN 39713 7416 9 the the DT 39713 7416 10 hypothesis hypothesis NN 39713 7416 11 of of IN 39713 7416 12 the the DT 39713 7416 13 Maxwell Maxwell NNP 39713 7416 14 - - HYPH 39713 7416 15 Bartholi Bartholi NNP 39713 7416 16 pressure pressure NN 39713 7416 17 , , , 39713 7416 18 the the DT 39713 7416 19 difficulties difficulty NNS 39713 7416 20 will will MD 39713 7416 21 not not RB 39713 7416 22 be be VB 39713 7416 23 less less JJR 39713 7416 24 . . . 39713 7417 1 This this DT 39713 7417 2 is be VBZ 39713 7417 3 what what WP 39713 7417 4 Lorentz Lorentz NNP 39713 7417 5 himself -PRON- PRP 39713 7417 6 has have VBZ 39713 7417 7 attempted attempt VBN 39713 7417 8 in in IN 39713 7417 9 his -PRON- PRP$ 39713 7417 10 Memoir Memoir NNP 39713 7417 11 to to IN 39713 7417 12 the the DT 39713 7417 13 Amsterdam Amsterdam NNP 39713 7417 14 Academy Academy NNP 39713 7417 15 of of IN 39713 7417 16 Sciences Sciences NNPS 39713 7417 17 of of IN 39713 7417 18 April April NNP 39713 7417 19 25 25 CD 39713 7417 20 , , , 39713 7417 21 1900 1900 CD 39713 7417 22 . . . 39713 7418 1 Consider consider VB 39713 7418 2 a a DT 39713 7418 3 system system NN 39713 7418 4 of of IN 39713 7418 5 electrons electron NNS 39713 7418 6 immersed immerse VBN 39713 7418 7 in in IN 39713 7418 8 an an DT 39713 7418 9 ether ether NN 39713 7418 10 permeated permeate VBN 39713 7418 11 in in IN 39713 7418 12 every every DT 39713 7418 13 sense sense NN 39713 7418 14 by by IN 39713 7418 15 luminous luminous JJ 39713 7418 16 waves wave NNS 39713 7418 17 ; ; : 39713 7418 18 one one CD 39713 7418 19 of of IN 39713 7418 20 these these DT 39713 7418 21 electrons electron NNS 39713 7418 22 , , , 39713 7418 23 struck strike VBN 39713 7418 24 by by IN 39713 7418 25 one one CD 39713 7418 26 of of IN 39713 7418 27 these these DT 39713 7418 28 waves wave NNS 39713 7418 29 , , , 39713 7418 30 begins begin VBZ 39713 7418 31 to to TO 39713 7418 32 vibrate vibrate VB 39713 7418 33 ; ; : 39713 7418 34 its -PRON- PRP$ 39713 7418 35 vibration vibration NN 39713 7418 36 will will MD 39713 7418 37 be be VB 39713 7418 38 synchronous synchronous JJ 39713 7418 39 with with IN 39713 7418 40 that that DT 39713 7418 41 of of IN 39713 7418 42 light light NN 39713 7418 43 ; ; : 39713 7418 44 but but CC 39713 7418 45 it -PRON- PRP 39713 7418 46 may may MD 39713 7418 47 have have VB 39713 7418 48 a a DT 39713 7418 49 difference difference NN 39713 7418 50 of of IN 39713 7418 51 phase phase NN 39713 7418 52 , , , 39713 7418 53 if if IN 39713 7418 54 the the DT 39713 7418 55 electron electron NN 39713 7418 56 absorbs absorb VBZ 39713 7418 57 a a DT 39713 7418 58 part part NN 39713 7418 59 of of IN 39713 7418 60 the the DT 39713 7418 61 incident incident NN 39713 7418 62 energy energy NN 39713 7418 63 . . . 39713 7419 1 In in IN 39713 7419 2 fact fact NN 39713 7419 3 , , , 39713 7419 4 if if IN 39713 7419 5 it -PRON- PRP 39713 7419 6 absorbs absorb VBZ 39713 7419 7 energy energy NN 39713 7419 8 , , , 39713 7419 9 this this DT 39713 7419 10 is be VBZ 39713 7419 11 because because IN 39713 7419 12 the the DT 39713 7419 13 vibration vibration NN 39713 7419 14 of of IN 39713 7419 15 the the DT 39713 7419 16 ether ether NN 39713 7419 17 _ _ NNP 39713 7419 18 impels impel NNS 39713 7419 19 _ _ NNP 39713 7419 20 the the DT 39713 7419 21 electron electron NN 39713 7419 22 ; ; : 39713 7419 23 the the DT 39713 7419 24 electron electron NNP 39713 7419 25 must must MD 39713 7419 26 therefore therefore RB 39713 7419 27 be be VB 39713 7419 28 slower slow JJR 39713 7419 29 than than IN 39713 7419 30 the the DT 39713 7419 31 ether ether NN 39713 7419 32 . . . 39713 7420 1 An an DT 39713 7420 2 electron electron NN 39713 7420 3 in in IN 39713 7420 4 motion motion NN 39713 7420 5 is be VBZ 39713 7420 6 analogous analogous JJ 39713 7420 7 to to IN 39713 7420 8 a a DT 39713 7420 9 convection convection NN 39713 7420 10 current current NN 39713 7420 11 ; ; : 39713 7420 12 therefore therefore RB 39713 7420 13 every every DT 39713 7420 14 magnetic magnetic JJ 39713 7420 15 field field NN 39713 7420 16 , , , 39713 7420 17 in in IN 39713 7420 18 particular particular JJ 39713 7420 19 that that IN 39713 7420 20 due due IN 39713 7420 21 to to IN 39713 7420 22 the the DT 39713 7420 23 luminous luminous JJ 39713 7420 24 perturbation perturbation NN 39713 7420 25 itself -PRON- PRP 39713 7420 26 , , , 39713 7420 27 must must MD 39713 7420 28 exert exert VB 39713 7420 29 a a DT 39713 7420 30 mechanical mechanical JJ 39713 7420 31 action action NN 39713 7420 32 upon upon IN 39713 7420 33 this this DT 39713 7420 34 electron electron NN 39713 7420 35 . . . 39713 7421 1 This this DT 39713 7421 2 action action NN 39713 7421 3 is be VBZ 39713 7421 4 very very RB 39713 7421 5 slight slight JJ 39713 7421 6 ; ; : 39713 7421 7 moreover moreover RB 39713 7421 8 , , , 39713 7421 9 it -PRON- PRP 39713 7421 10 changes change VBZ 39713 7421 11 sign sign NN 39713 7421 12 in in IN 39713 7421 13 the the DT 39713 7421 14 current current NN 39713 7421 15 of of IN 39713 7421 16 the the DT 39713 7421 17 period period NN 39713 7421 18 ; ; : 39713 7421 19 nevertheless nevertheless RB 39713 7421 20 , , , 39713 7421 21 the the DT 39713 7421 22 mean mean JJ 39713 7421 23 action action NN 39713 7421 24 is be VBZ 39713 7421 25 not not RB 39713 7421 26 null null JJ 39713 7421 27 if if IN 39713 7421 28 there there EX 39713 7421 29 is be VBZ 39713 7421 30 a a DT 39713 7421 31 difference difference NN 39713 7421 32 of of IN 39713 7421 33 phase phase NN 39713 7421 34 between between IN 39713 7421 35 the the DT 39713 7421 36 vibrations vibration NNS 39713 7421 37 of of IN 39713 7421 38 the the DT 39713 7421 39 electron electron NN 39713 7421 40 and and CC 39713 7421 41 those those DT 39713 7421 42 of of IN 39713 7421 43 the the DT 39713 7421 44 ether ether NN 39713 7421 45 . . . 39713 7422 1 The the DT 39713 7422 2 mean mean JJ 39713 7422 3 action action NN 39713 7422 4 is be VBZ 39713 7422 5 proportional proportional JJ 39713 7422 6 to to IN 39713 7422 7 this this DT 39713 7422 8 difference difference NN 39713 7422 9 , , , 39713 7422 10 consequently consequently RB 39713 7422 11 to to IN 39713 7422 12 the the DT 39713 7422 13 energy energy NN 39713 7422 14 absorbed absorb VBN 39713 7422 15 by by IN 39713 7422 16 the the DT 39713 7422 17 electron electron NN 39713 7422 18 . . . 39713 7423 1 I -PRON- PRP 39713 7423 2 can can MD 39713 7423 3 not not RB 39713 7423 4 here here RB 39713 7423 5 enter enter VB 39713 7423 6 into into IN 39713 7423 7 the the DT 39713 7423 8 detail detail NN 39713 7423 9 of of IN 39713 7423 10 the the DT 39713 7423 11 calculations calculation NNS 39713 7423 12 ; ; : 39713 7423 13 suffice suffice VB 39713 7423 14 it -PRON- PRP 39713 7423 15 to to TO 39713 7423 16 say say VB 39713 7423 17 only only RB 39713 7423 18 that that IN 39713 7423 19 the the DT 39713 7423 20 final final JJ 39713 7423 21 result result NN 39713 7423 22 is be VBZ 39713 7423 23 an an DT 39713 7423 24 attraction attraction NN 39713 7423 25 of of IN 39713 7423 26 any any DT 39713 7423 27 two two CD 39713 7423 28 electrons electron NNS 39713 7423 29 , , , 39713 7423 30 varying vary VBG 39713 7423 31 inversely inversely RB 39713 7423 32 as as IN 39713 7423 33 the the DT 39713 7423 34 square square NN 39713 7423 35 of of IN 39713 7423 36 the the DT 39713 7423 37 distance distance NN 39713 7423 38 and and CC 39713 7423 39 proportional proportional JJ 39713 7423 40 to to IN 39713 7423 41 the the DT 39713 7423 42 energy energy NN 39713 7423 43 absorbed absorb VBN 39713 7423 44 by by IN 39713 7423 45 the the DT 39713 7423 46 two two CD 39713 7423 47 electrons electron NNS 39713 7423 48 . . . 39713 7424 1 Therefore therefore RB 39713 7424 2 there there EX 39713 7424 3 can can MD 39713 7424 4 not not RB 39713 7424 5 be be VB 39713 7424 6 attraction attraction NN 39713 7424 7 without without IN 39713 7424 8 absorption absorption NN 39713 7424 9 of of IN 39713 7424 10 light light NN 39713 7424 11 and and CC 39713 7424 12 , , , 39713 7424 13 consequently consequently RB 39713 7424 14 , , , 39713 7424 15 without without IN 39713 7424 16 production production NN 39713 7424 17 of of IN 39713 7424 18 heat heat NN 39713 7424 19 , , , 39713 7424 20 and and CC 39713 7424 21 this this DT 39713 7424 22 it -PRON- PRP 39713 7424 23 is be VBZ 39713 7424 24 which which WDT 39713 7424 25 determined determine VBN 39713 7424 26 Lorentz Lorentz NNP 39713 7424 27 to to TO 39713 7424 28 abandon abandon VB 39713 7424 29 this this DT 39713 7424 30 theory theory NN 39713 7424 31 , , , 39713 7424 32 which which WDT 39713 7424 33 , , , 39713 7424 34 at at IN 39713 7424 35 bottom bottom NN 39713 7424 36 , , , 39713 7424 37 does do VBZ 39713 7424 38 not not RB 39713 7424 39 differ differ VB 39713 7424 40 from from IN 39713 7424 41 that that DT 39713 7424 42 of of IN 39713 7424 43 Lesage lesage NN 39713 7424 44 - - HYPH 39713 7424 45 Maxwell Maxwell NNP 39713 7424 46 - - HYPH 39713 7424 47 Bartholi Bartholi NNP 39713 7424 48 . . . 39713 7425 1 He -PRON- PRP 39713 7425 2 would would MD 39713 7425 3 have have VB 39713 7425 4 been be VBN 39713 7425 5 much much RB 39713 7425 6 more more RBR 39713 7425 7 dismayed dismayed JJ 39713 7425 8 still still RB 39713 7425 9 if if IN 39713 7425 10 he -PRON- PRP 39713 7425 11 had have VBD 39713 7425 12 pushed push VBN 39713 7425 13 the the DT 39713 7425 14 calculation calculation NN 39713 7425 15 to to IN 39713 7425 16 the the DT 39713 7425 17 end end NN 39713 7425 18 . . . 39713 7426 1 He -PRON- PRP 39713 7426 2 would would MD 39713 7426 3 have have VB 39713 7426 4 found find VBN 39713 7426 5 that that IN 39713 7426 6 the the DT 39713 7426 7 temperature temperature NN 39713 7426 8 of of IN 39713 7426 9 the the DT 39713 7426 10 earth earth NN 39713 7426 11 would would MD 39713 7426 12 have have VB 39713 7426 13 to to TO 39713 7426 14 increase increase VB 39713 7426 15 10^{12 10^{12 CD 39713 7426 16 } } -RRB- 39713 7426 17 degrees degree NNS 39713 7426 18 a a DT 39713 7426 19 second second NN 39713 7426 20 . . . 39713 7427 1 IV IV NNP 39713 7427 2 _ _ NNP 39713 7427 3 Conclusions Conclusions NNPS 39713 7427 4 _ _ NNP 39713 7427 5 I -PRON- PRP 39713 7427 6 have have VBP 39713 7427 7 striven strive VBN 39713 7427 8 to to TO 39713 7427 9 give give VB 39713 7427 10 in in IN 39713 7427 11 few few JJ 39713 7427 12 words word NNS 39713 7427 13 an an DT 39713 7427 14 idea idea NN 39713 7427 15 as as RB 39713 7427 16 complete complete JJ 39713 7427 17 as as IN 39713 7427 18 possible possible JJ 39713 7427 19 of of IN 39713 7427 20 these these DT 39713 7427 21 new new JJ 39713 7427 22 doctrines doctrine NNS 39713 7427 23 ; ; : 39713 7427 24 I -PRON- PRP 39713 7427 25 have have VBP 39713 7427 26 sought seek VBN 39713 7427 27 to to TO 39713 7427 28 explain explain VB 39713 7427 29 how how WRB 39713 7427 30 they -PRON- PRP 39713 7427 31 took take VBD 39713 7427 32 birth birth NN 39713 7427 33 ; ; : 39713 7427 34 otherwise otherwise RB 39713 7427 35 the the DT 39713 7427 36 reader reader NN 39713 7427 37 would would MD 39713 7427 38 have have VB 39713 7427 39 had have VBD 39713 7427 40 ground grind VBN 39713 7427 41 to to TO 39713 7427 42 be be VB 39713 7427 43 frightened frighten VBN 39713 7427 44 by by IN 39713 7427 45 their -PRON- PRP$ 39713 7427 46 boldness boldness NN 39713 7427 47 . . . 39713 7428 1 The the DT 39713 7428 2 new new JJ 39713 7428 3 theories theory NNS 39713 7428 4 are be VBP 39713 7428 5 not not RB 39713 7428 6 yet yet RB 39713 7428 7 demonstrated demonstrate VBN 39713 7428 8 ; ; : 39713 7428 9 far far RB 39713 7428 10 from from IN 39713 7428 11 it -PRON- PRP 39713 7428 12 ; ; : 39713 7428 13 only only RB 39713 7428 14 they -PRON- PRP 39713 7428 15 rest rest VBP 39713 7428 16 upon upon IN 39713 7428 17 an an DT 39713 7428 18 aggregate aggregate NN 39713 7428 19 of of IN 39713 7428 20 probabilities probability NNS 39713 7428 21 sufficiently sufficiently RB 39713 7428 22 weighty weighty JJ 39713 7428 23 for for IN 39713 7428 24 us -PRON- PRP 39713 7428 25 not not RB 39713 7428 26 to to TO 39713 7428 27 have have VB 39713 7428 28 the the DT 39713 7428 29 right right NN 39713 7428 30 to to TO 39713 7428 31 treat treat VB 39713 7428 32 them -PRON- PRP 39713 7428 33 with with IN 39713 7428 34 disregard disregard NN 39713 7428 35 . . . 39713 7429 1 New new JJ 39713 7429 2 experiments experiment NNS 39713 7429 3 will will MD 39713 7429 4 doubtless doubtless RB 39713 7429 5 teach teach VB 39713 7429 6 us -PRON- PRP 39713 7429 7 what what WP 39713 7429 8 we -PRON- PRP 39713 7429 9 should should MD 39713 7429 10 finally finally RB 39713 7429 11 think think VB 39713 7429 12 of of IN 39713 7429 13 them -PRON- PRP 39713 7429 14 . . . 39713 7430 1 The the DT 39713 7430 2 knotty knotty JJ 39713 7430 3 point point NN 39713 7430 4 of of IN 39713 7430 5 the the DT 39713 7430 6 question question NN 39713 7430 7 lies lie VBZ 39713 7430 8 in in IN 39713 7430 9 Kaufmann Kaufmann NNP 39713 7430 10 's 's POS 39713 7430 11 experiment experiment NN 39713 7430 12 and and CC 39713 7430 13 those those DT 39713 7430 14 that that WDT 39713 7430 15 may may MD 39713 7430 16 be be VB 39713 7430 17 undertaken undertake VBN 39713 7430 18 to to TO 39713 7430 19 verify verify VB 39713 7430 20 it -PRON- PRP 39713 7430 21 . . . 39713 7431 1 In in IN 39713 7431 2 conclusion conclusion NN 39713 7431 3 , , , 39713 7431 4 permit permit VB 39713 7431 5 me -PRON- PRP 39713 7431 6 a a DT 39713 7431 7 word word NN 39713 7431 8 of of IN 39713 7431 9 warning warning NN 39713 7431 10 . . . 39713 7432 1 Suppose suppose VB 39713 7432 2 that that IN 39713 7432 3 , , , 39713 7432 4 after after IN 39713 7432 5 some some DT 39713 7432 6 years year NNS 39713 7432 7 , , , 39713 7432 8 these these DT 39713 7432 9 theories theory NNS 39713 7432 10 undergo undergo VBP 39713 7432 11 new new JJ 39713 7432 12 tests test NNS 39713 7432 13 and and CC 39713 7432 14 triumph triumph NN 39713 7432 15 ; ; : 39713 7432 16 then then RB 39713 7432 17 our -PRON- PRP$ 39713 7432 18 secondary secondary JJ 39713 7432 19 education education NN 39713 7432 20 will will MD 39713 7432 21 incur incur VB 39713 7432 22 a a DT 39713 7432 23 great great JJ 39713 7432 24 danger danger NN 39713 7432 25 ; ; : 39713 7432 26 certain certain JJ 39713 7432 27 professors professor NNS 39713 7432 28 will will MD 39713 7432 29 doubtless doubtless RB 39713 7432 30 wish wish VB 39713 7432 31 to to TO 39713 7432 32 make make VB 39713 7432 33 a a DT 39713 7432 34 place place NN 39713 7432 35 for for IN 39713 7432 36 the the DT 39713 7432 37 new new JJ 39713 7432 38 theories theory NNS 39713 7432 39 . . . 39713 7433 1 Novelties novelty NNS 39713 7433 2 are be VBP 39713 7433 3 so so RB 39713 7433 4 attractive attractive JJ 39713 7433 5 , , , 39713 7433 6 and and CC 39713 7433 7 it -PRON- PRP 39713 7433 8 is be VBZ 39713 7433 9 so so RB 39713 7433 10 hard hard JJ 39713 7433 11 not not RB 39713 7433 12 to to TO 39713 7433 13 seem seem VB 39713 7433 14 highly highly RB 39713 7433 15 advanced advanced JJ 39713 7433 16 ! ! . 39713 7434 1 At at IN 39713 7434 2 least least JJS 39713 7434 3 there there EX 39713 7434 4 will will MD 39713 7434 5 be be VB 39713 7434 6 the the DT 39713 7434 7 wish wish NN 39713 7434 8 to to TO 39713 7434 9 open open VB 39713 7434 10 vistas vista NNS 39713 7434 11 to to IN 39713 7434 12 the the DT 39713 7434 13 pupils pupil NNS 39713 7434 14 and and CC 39713 7434 15 , , , 39713 7434 16 before before IN 39713 7434 17 teaching teach VBG 39713 7434 18 them -PRON- PRP 39713 7434 19 the the DT 39713 7434 20 ordinary ordinary JJ 39713 7434 21 mechanics mechanic NNS 39713 7434 22 , , , 39713 7434 23 to to TO 39713 7434 24 let let VB 39713 7434 25 them -PRON- PRP 39713 7434 26 know know VB 39713 7434 27 it -PRON- PRP 39713 7434 28 has have VBZ 39713 7434 29 had have VBN 39713 7434 30 its -PRON- PRP$ 39713 7434 31 day day NN 39713 7434 32 and and CC 39713 7434 33 was be VBD 39713 7434 34 at at IN 39713 7434 35 best good JJS 39713 7434 36 good good JJ 39713 7434 37 enough enough RB 39713 7434 38 for for IN 39713 7434 39 that that DT 39713 7434 40 old old JJ 39713 7434 41 dolt dolt NN 39713 7434 42 Laplace Laplace NNP 39713 7434 43 . . . 39713 7435 1 And and CC 39713 7435 2 then then RB 39713 7435 3 they -PRON- PRP 39713 7435 4 will will MD 39713 7435 5 not not RB 39713 7435 6 form form VB 39713 7435 7 the the DT 39713 7435 8 habit habit NN 39713 7435 9 of of IN 39713 7435 10 the the DT 39713 7435 11 ordinary ordinary JJ 39713 7435 12 mechanics mechanic NNS 39713 7435 13 . . . 39713 7436 1 Is be VBZ 39713 7436 2 it -PRON- PRP 39713 7436 3 well well JJ 39713 7436 4 to to TO 39713 7436 5 let let VB 39713 7436 6 them -PRON- PRP 39713 7436 7 know know VB 39713 7436 8 this this DT 39713 7436 9 is be VBZ 39713 7436 10 only only RB 39713 7436 11 approximative approximative JJ 39713 7436 12 ? ? . 39713 7437 1 Yes yes UH 39713 7437 2 ; ; : 39713 7437 3 but but CC 39713 7437 4 later later RBR 39713 7437 5 , , , 39713 7437 6 when when WRB 39713 7437 7 it -PRON- PRP 39713 7437 8 has have VBZ 39713 7437 9 penetrated penetrate VBN 39713 7437 10 to to IN 39713 7437 11 their -PRON- PRP$ 39713 7437 12 very very RB 39713 7437 13 marrow marrow NN 39713 7437 14 , , , 39713 7437 15 when when WRB 39713 7437 16 they -PRON- PRP 39713 7437 17 shall shall MD 39713 7437 18 have have VB 39713 7437 19 taken take VBN 39713 7437 20 the the DT 39713 7437 21 bent bent NN 39713 7437 22 of of IN 39713 7437 23 thinking think VBG 39713 7437 24 only only RB 39713 7437 25 through through IN 39713 7437 26 it -PRON- PRP 39713 7437 27 , , , 39713 7437 28 when when WRB 39713 7437 29 there there EX 39713 7437 30 shall shall MD 39713 7437 31 no no RB 39713 7437 32 longer longer RB 39713 7437 33 be be VB 39713 7437 34 risk risk NN 39713 7437 35 of of IN 39713 7437 36 their -PRON- PRP$ 39713 7437 37 unlearning unlearning NN 39713 7437 38 it -PRON- PRP 39713 7437 39 , , , 39713 7437 40 then then RB 39713 7437 41 one one PRP 39713 7437 42 may may MD 39713 7437 43 , , , 39713 7437 44 without without IN 39713 7437 45 inconvenience inconvenience NN 39713 7437 46 , , , 39713 7437 47 show show VB 39713 7437 48 them -PRON- PRP 39713 7437 49 its -PRON- PRP$ 39713 7437 50 limits limit NNS 39713 7437 51 . . . 39713 7438 1 It -PRON- PRP 39713 7438 2 is be VBZ 39713 7438 3 with with IN 39713 7438 4 the the DT 39713 7438 5 ordinary ordinary JJ 39713 7438 6 mechanics mechanic NNS 39713 7438 7 that that WDT 39713 7438 8 they -PRON- PRP 39713 7438 9 must must MD 39713 7438 10 live live VB 39713 7438 11 ; ; : 39713 7438 12 this this DT 39713 7438 13 alone alone RB 39713 7438 14 will will MD 39713 7438 15 they -PRON- PRP 39713 7438 16 ever ever RB 39713 7438 17 have have VB 39713 7438 18 to to TO 39713 7438 19 apply apply VB 39713 7438 20 . . . 39713 7439 1 Whatever whatever WDT 39713 7439 2 be be VB 39713 7439 3 the the DT 39713 7439 4 progress progress NN 39713 7439 5 of of IN 39713 7439 6 automobilism automobilism NN 39713 7439 7 , , , 39713 7439 8 our -PRON- PRP$ 39713 7439 9 vehicles vehicle NNS 39713 7439 10 will will MD 39713 7439 11 never never RB 39713 7439 12 attain attain VB 39713 7439 13 speeds speed NNS 39713 7439 14 where where WRB 39713 7439 15 it -PRON- PRP 39713 7439 16 is be VBZ 39713 7439 17 not not RB 39713 7439 18 true true JJ 39713 7439 19 . . . 39713 7440 1 The the DT 39713 7440 2 other other JJ 39713 7440 3 is be VBZ 39713 7440 4 only only RB 39713 7440 5 a a DT 39713 7440 6 luxury luxury NN 39713 7440 7 , , , 39713 7440 8 and and CC 39713 7440 9 we -PRON- PRP 39713 7440 10 should should MD 39713 7440 11 think think VB 39713 7440 12 of of IN 39713 7440 13 the the DT 39713 7440 14 luxury luxury NN 39713 7440 15 only only RB 39713 7440 16 when when WRB 39713 7440 17 there there EX 39713 7440 18 is be VBZ 39713 7440 19 no no DT 39713 7440 20 longer long RBR 39713 7440 21 any any DT 39713 7440 22 risk risk NN 39713 7440 23 of of IN 39713 7440 24 harming harm VBG 39713 7440 25 the the DT 39713 7440 26 necessary necessary JJ 39713 7440 27 . . . 39713 7441 1 BOOK BOOK NNP 39713 7441 2 IV IV NNP 39713 7441 3 ASTRONOMIC ASTRONOMIC NNP 39713 7441 4 SCIENCE SCIENCE NNP 39713 7441 5 CHAPTER CHAPTER NNP 39713 7441 6 I -PRON- PRP 39713 7441 7 THE the DT 39713 7441 8 MILKY MILKY NNP 39713 7441 9 WAY WAY NNP 39713 7441 10 AND and CC 39713 7441 11 THE the DT 39713 7441 12 THEORY theory NN 39713 7441 13 OF of IN 39713 7441 14 GASES gas NNS 39713 7441 15 The the DT 39713 7441 16 considerations consideration NNS 39713 7441 17 to to TO 39713 7441 18 be be VB 39713 7441 19 here here RB 39713 7441 20 developed develop VBN 39713 7441 21 have have VBP 39713 7441 22 scarcely scarcely RB 39713 7441 23 as as RB 39713 7441 24 yet yet RB 39713 7441 25 drawn draw VBN 39713 7441 26 the the DT 39713 7441 27 attention attention NN 39713 7441 28 of of IN 39713 7441 29 astronomers astronomer NNS 39713 7441 30 ; ; : 39713 7441 31 there there EX 39713 7441 32 is be VBZ 39713 7441 33 hardly hardly RB 39713 7441 34 anything anything NN 39713 7441 35 to to TO 39713 7441 36 cite cite VB 39713 7441 37 except except IN 39713 7441 38 an an DT 39713 7441 39 ingenious ingenious JJ 39713 7441 40 idea idea NN 39713 7441 41 of of IN 39713 7441 42 Lord Lord NNP 39713 7441 43 Kelvin Kelvin NNP 39713 7441 44 's 's POS 39713 7441 45 , , , 39713 7441 46 which which WDT 39713 7441 47 has have VBZ 39713 7441 48 opened open VBN 39713 7441 49 a a DT 39713 7441 50 new new JJ 39713 7441 51 field field NN 39713 7441 52 of of IN 39713 7441 53 research research NN 39713 7441 54 , , , 39713 7441 55 but but CC 39713 7441 56 still still RB 39713 7441 57 waits wait VBZ 39713 7441 58 to to TO 39713 7441 59 be be VB 39713 7441 60 followed follow VBN 39713 7441 61 out out RP 39713 7441 62 . . . 39713 7442 1 Nor nor CC 39713 7442 2 have have VBP 39713 7442 3 I -PRON- PRP 39713 7442 4 original original JJ 39713 7442 5 results result NNS 39713 7442 6 to to IN 39713 7442 7 impart impart NN 39713 7442 8 , , , 39713 7442 9 and and CC 39713 7442 10 all all DT 39713 7442 11 I -PRON- PRP 39713 7442 12 can can MD 39713 7442 13 do do VB 39713 7442 14 is be VBZ 39713 7442 15 to to TO 39713 7442 16 give give VB 39713 7442 17 an an DT 39713 7442 18 idea idea NN 39713 7442 19 of of IN 39713 7442 20 the the DT 39713 7442 21 problems problem NNS 39713 7442 22 presented present VBN 39713 7442 23 , , , 39713 7442 24 but but CC 39713 7442 25 which which WDT 39713 7442 26 no no DT 39713 7442 27 one one NN 39713 7442 28 hitherto hitherto VBD 39713 7442 29 has have VBZ 39713 7442 30 undertaken undertake VBN 39713 7442 31 to to TO 39713 7442 32 solve solve VB 39713 7442 33 . . . 39713 7443 1 Every every DT 39713 7443 2 one one NN 39713 7443 3 knows know VBZ 39713 7443 4 how how WRB 39713 7443 5 a a DT 39713 7443 6 large large JJ 39713 7443 7 number number NN 39713 7443 8 of of IN 39713 7443 9 modern modern JJ 39713 7443 10 physicists physicist NNS 39713 7443 11 represent represent VBP 39713 7443 12 the the DT 39713 7443 13 constitution constitution NN 39713 7443 14 of of IN 39713 7443 15 gases gas NNS 39713 7443 16 ; ; : 39713 7443 17 gases gas NNS 39713 7443 18 are be VBP 39713 7443 19 formed form VBN 39713 7443 20 of of IN 39713 7443 21 an an DT 39713 7443 22 innumerable innumerable JJ 39713 7443 23 multitude multitude NN 39713 7443 24 of of IN 39713 7443 25 molecules molecule NNS 39713 7443 26 which which WDT 39713 7443 27 , , , 39713 7443 28 at at IN 39713 7443 29 high high JJ 39713 7443 30 speeds speed NNS 39713 7443 31 , , , 39713 7443 32 cross cross VB 39713 7443 33 and and CC 39713 7443 34 crisscross crisscross VB 39713 7443 35 in in IN 39713 7443 36 every every DT 39713 7443 37 direction direction NN 39713 7443 38 . . . 39713 7444 1 These these DT 39713 7444 2 molecules molecule NNS 39713 7444 3 probably probably RB 39713 7444 4 act act VBP 39713 7444 5 at at IN 39713 7444 6 a a DT 39713 7444 7 distance distance NN 39713 7444 8 one one CD 39713 7444 9 upon upon IN 39713 7444 10 another another DT 39713 7444 11 , , , 39713 7444 12 but but CC 39713 7444 13 this this DT 39713 7444 14 action action NN 39713 7444 15 decreases decrease VBZ 39713 7444 16 very very RB 39713 7444 17 rapidly rapidly RB 39713 7444 18 with with IN 39713 7444 19 distance distance NN 39713 7444 20 , , , 39713 7444 21 so so IN 39713 7444 22 that that IN 39713 7444 23 their -PRON- PRP$ 39713 7444 24 trajectories trajectory NNS 39713 7444 25 remain remain VBP 39713 7444 26 sensibly sensibly RB 39713 7444 27 straight straight JJ 39713 7444 28 ; ; : 39713 7444 29 they -PRON- PRP 39713 7444 30 cease cease VBP 39713 7444 31 to to TO 39713 7444 32 be be VB 39713 7444 33 so so RB 39713 7444 34 only only RB 39713 7444 35 when when WRB 39713 7444 36 two two CD 39713 7444 37 molecules molecule NNS 39713 7444 38 happen happen VBP 39713 7444 39 to to TO 39713 7444 40 pass pass VB 39713 7444 41 very very RB 39713 7444 42 near near RB 39713 7444 43 to to IN 39713 7444 44 each each DT 39713 7444 45 other other JJ 39713 7444 46 ; ; : 39713 7444 47 in in IN 39713 7444 48 this this DT 39713 7444 49 case case NN 39713 7444 50 , , , 39713 7444 51 their -PRON- PRP$ 39713 7444 52 mutual mutual JJ 39713 7444 53 attraction attraction NN 39713 7444 54 or or CC 39713 7444 55 repulsion repulsion NN 39713 7444 56 makes make VBZ 39713 7444 57 them -PRON- PRP 39713 7444 58 deviate deviate VB 39713 7444 59 to to TO 39713 7444 60 right right RB 39713 7444 61 or or CC 39713 7444 62 left left RB 39713 7444 63 . . . 39713 7445 1 This this DT 39713 7445 2 is be VBZ 39713 7445 3 what what WP 39713 7445 4 is be VBZ 39713 7445 5 sometimes sometimes RB 39713 7445 6 called call VBN 39713 7445 7 an an DT 39713 7445 8 impact impact NN 39713 7445 9 ; ; : 39713 7445 10 but but CC 39713 7445 11 the the DT 39713 7445 12 word word NN 39713 7445 13 _ _ NNP 39713 7445 14 impact impact NN 39713 7445 15 _ _ NNP 39713 7445 16 is be VBZ 39713 7445 17 not not RB 39713 7445 18 to to TO 39713 7445 19 be be VB 39713 7445 20 understood understand VBN 39713 7445 21 in in IN 39713 7445 22 its -PRON- PRP$ 39713 7445 23 usual usual JJ 39713 7445 24 sense sense NN 39713 7445 25 ; ; : 39713 7445 26 it -PRON- PRP 39713 7445 27 is be VBZ 39713 7445 28 not not RB 39713 7445 29 necessary necessary JJ 39713 7445 30 that that IN 39713 7445 31 the the DT 39713 7445 32 two two CD 39713 7445 33 molecules molecule NNS 39713 7445 34 come come VBP 39713 7445 35 into into IN 39713 7445 36 contact contact NN 39713 7445 37 , , , 39713 7445 38 it -PRON- PRP 39713 7445 39 suffices suffice VBZ 39713 7445 40 that that IN 39713 7445 41 they -PRON- PRP 39713 7445 42 approach approach VBP 39713 7445 43 sufficiently sufficiently RB 39713 7445 44 near near IN 39713 7445 45 each each DT 39713 7445 46 other other JJ 39713 7445 47 for for IN 39713 7445 48 their -PRON- PRP$ 39713 7445 49 mutual mutual JJ 39713 7445 50 attractions attraction NNS 39713 7445 51 to to TO 39713 7445 52 become become VB 39713 7445 53 sensible sensible JJ 39713 7445 54 . . . 39713 7446 1 The the DT 39713 7446 2 laws law NNS 39713 7446 3 of of IN 39713 7446 4 the the DT 39713 7446 5 deviation deviation NN 39713 7446 6 they -PRON- PRP 39713 7446 7 undergo undergo VBP 39713 7446 8 are be VBP 39713 7446 9 the the DT 39713 7446 10 same same JJ 39713 7446 11 as as IN 39713 7446 12 for for IN 39713 7446 13 a a DT 39713 7446 14 veritable veritable JJ 39713 7446 15 impact impact NN 39713 7446 16 . . . 39713 7447 1 It -PRON- PRP 39713 7447 2 seems seem VBZ 39713 7447 3 at at IN 39713 7447 4 first first RB 39713 7447 5 that that IN 39713 7447 6 the the DT 39713 7447 7 disorderly disorderly JJ 39713 7447 8 impacts impact NNS 39713 7447 9 of of IN 39713 7447 10 this this DT 39713 7447 11 innumerable innumerable JJ 39713 7447 12 dust dust NN 39713 7447 13 can can MD 39713 7447 14 engender engender VB 39713 7447 15 only only RB 39713 7447 16 an an DT 39713 7447 17 inextricable inextricable JJ 39713 7447 18 chaos chaos NN 39713 7447 19 before before IN 39713 7447 20 which which WDT 39713 7447 21 analysis analysis NN 39713 7447 22 must must MD 39713 7447 23 recoil recoil VB 39713 7447 24 . . . 39713 7448 1 But but CC 39713 7448 2 the the DT 39713 7448 3 law law NN 39713 7448 4 of of IN 39713 7448 5 great great JJ 39713 7448 6 numbers number NNS 39713 7448 7 , , , 39713 7448 8 that that DT 39713 7448 9 supreme supreme NNP 39713 7448 10 law law NNP 39713 7448 11 of of IN 39713 7448 12 chance chance NN 39713 7448 13 , , , 39713 7448 14 comes come VBZ 39713 7448 15 to to IN 39713 7448 16 our -PRON- PRP$ 39713 7448 17 aid aid NN 39713 7448 18 ; ; : 39713 7448 19 in in IN 39713 7448 20 presence presence NN 39713 7448 21 of of IN 39713 7448 22 a a DT 39713 7448 23 semi semi JJ 39713 7448 24 - - NN 39713 7448 25 disorder disorder NN 39713 7448 26 , , , 39713 7448 27 we -PRON- PRP 39713 7448 28 must must MD 39713 7448 29 despair despair VB 39713 7448 30 , , , 39713 7448 31 but but CC 39713 7448 32 in in IN 39713 7448 33 extreme extreme JJ 39713 7448 34 disorder disorder NN 39713 7448 35 , , , 39713 7448 36 this this DT 39713 7448 37 statistical statistical JJ 39713 7448 38 law law NN 39713 7448 39 reestablishes reestablish VBZ 39713 7448 40 a a DT 39713 7448 41 sort sort NN 39713 7448 42 of of IN 39713 7448 43 mean mean JJ 39713 7448 44 order order NN 39713 7448 45 where where WRB 39713 7448 46 the the DT 39713 7448 47 mind mind NN 39713 7448 48 can can MD 39713 7448 49 recover recover VB 39713 7448 50 . . . 39713 7449 1 It -PRON- PRP 39713 7449 2 is be VBZ 39713 7449 3 the the DT 39713 7449 4 study study NN 39713 7449 5 of of IN 39713 7449 6 this this DT 39713 7449 7 mean mean JJ 39713 7449 8 order order NN 39713 7449 9 which which WDT 39713 7449 10 constitutes constitute VBZ 39713 7449 11 the the DT 39713 7449 12 kinetic kinetic JJ 39713 7449 13 theory theory NN 39713 7449 14 of of IN 39713 7449 15 gases gas NNS 39713 7449 16 ; ; : 39713 7449 17 it -PRON- PRP 39713 7449 18 shows show VBZ 39713 7449 19 us -PRON- PRP 39713 7449 20 that that IN 39713 7449 21 the the DT 39713 7449 22 velocities velocity NNS 39713 7449 23 of of IN 39713 7449 24 the the DT 39713 7449 25 molecules molecule NNS 39713 7449 26 are be VBP 39713 7449 27 equally equally RB 39713 7449 28 distributed distribute VBN 39713 7449 29 among among IN 39713 7449 30 all all PDT 39713 7449 31 the the DT 39713 7449 32 directions direction NNS 39713 7449 33 , , , 39713 7449 34 that that IN 39713 7449 35 the the DT 39713 7449 36 rapidity rapidity NN 39713 7449 37 of of IN 39713 7449 38 these these DT 39713 7449 39 velocities velocity NNS 39713 7449 40 varies vary VBZ 39713 7449 41 from from IN 39713 7449 42 one one CD 39713 7449 43 molecule molecule NN 39713 7449 44 to to IN 39713 7449 45 another another DT 39713 7449 46 , , , 39713 7449 47 but but CC 39713 7449 48 that that IN 39713 7449 49 even even RB 39713 7449 50 this this DT 39713 7449 51 variation variation NN 39713 7449 52 is be VBZ 39713 7449 53 subject subject JJ 39713 7449 54 to to IN 39713 7449 55 a a DT 39713 7449 56 law law NN 39713 7449 57 called call VBN 39713 7449 58 Maxwell Maxwell NNP 39713 7449 59 's 's POS 39713 7449 60 law law NN 39713 7449 61 . . . 39713 7450 1 This this DT 39713 7450 2 law law NN 39713 7450 3 tells tell VBZ 39713 7450 4 us -PRON- PRP 39713 7450 5 how how WRB 39713 7450 6 many many JJ 39713 7450 7 of of IN 39713 7450 8 the the DT 39713 7450 9 molecules molecule NNS 39713 7450 10 move move VBP 39713 7450 11 with with IN 39713 7450 12 such such JJ 39713 7450 13 and and CC 39713 7450 14 such such PDT 39713 7450 15 a a DT 39713 7450 16 velocity velocity NN 39713 7450 17 . . . 39713 7451 1 As as RB 39713 7451 2 soon soon RB 39713 7451 3 as as IN 39713 7451 4 the the DT 39713 7451 5 gas gas NN 39713 7451 6 departs depart VBZ 39713 7451 7 from from IN 39713 7451 8 this this DT 39713 7451 9 law law NN 39713 7451 10 , , , 39713 7451 11 the the DT 39713 7451 12 mutual mutual JJ 39713 7451 13 impacts impact NNS 39713 7451 14 of of IN 39713 7451 15 the the DT 39713 7451 16 molecules molecule NNS 39713 7451 17 , , , 39713 7451 18 in in IN 39713 7451 19 modifying modify VBG 39713 7451 20 the the DT 39713 7451 21 rapidity rapidity NN 39713 7451 22 and and CC 39713 7451 23 direction direction NN 39713 7451 24 of of IN 39713 7451 25 their -PRON- PRP$ 39713 7451 26 velocities velocity NNS 39713 7451 27 , , , 39713 7451 28 tend tend VBP 39713 7451 29 to to TO 39713 7451 30 bring bring VB 39713 7451 31 it -PRON- PRP 39713 7451 32 promptly promptly RB 39713 7451 33 back back RB 39713 7451 34 . . . 39713 7452 1 Physicists physicist NNS 39713 7452 2 have have VBP 39713 7452 3 striven strive VBN 39713 7452 4 , , , 39713 7452 5 not not RB 39713 7452 6 without without IN 39713 7452 7 success success NN 39713 7452 8 , , , 39713 7452 9 to to TO 39713 7452 10 explain explain VB 39713 7452 11 in in IN 39713 7452 12 this this DT 39713 7452 13 way way NN 39713 7452 14 the the DT 39713 7452 15 experimental experimental JJ 39713 7452 16 properties property NNS 39713 7452 17 of of IN 39713 7452 18 gases gas NNS 39713 7452 19 ; ; : 39713 7452 20 for for IN 39713 7452 21 example example NN 39713 7452 22 Mariotte Mariotte NNP 39713 7452 23 's 's POS 39713 7452 24 law law NN 39713 7452 25 . . . 39713 7453 1 Consider consider VB 39713 7453 2 now now RB 39713 7453 3 the the DT 39713 7453 4 milky milky JJ 39713 7453 5 way way NN 39713 7453 6 ; ; : 39713 7453 7 there there EX 39713 7453 8 also also RB 39713 7453 9 we -PRON- PRP 39713 7453 10 see see VBP 39713 7453 11 an an DT 39713 7453 12 innumerable innumerable JJ 39713 7453 13 dust dust NN 39713 7453 14 ; ; : 39713 7453 15 only only RB 39713 7453 16 the the DT 39713 7453 17 grains grain NNS 39713 7453 18 of of IN 39713 7453 19 this this DT 39713 7453 20 dust dust NN 39713 7453 21 are be VBP 39713 7453 22 not not RB 39713 7453 23 atoms atom NNS 39713 7453 24 , , , 39713 7453 25 they -PRON- PRP 39713 7453 26 are be VBP 39713 7453 27 stars star NNS 39713 7453 28 ; ; : 39713 7453 29 these these DT 39713 7453 30 grains grain NNS 39713 7453 31 move move VBP 39713 7453 32 also also RB 39713 7453 33 with with IN 39713 7453 34 high high JJ 39713 7453 35 velocities velocity NNS 39713 7453 36 ; ; : 39713 7453 37 they -PRON- PRP 39713 7453 38 act act VBP 39713 7453 39 at at IN 39713 7453 40 a a DT 39713 7453 41 distance distance NN 39713 7453 42 one one CD 39713 7453 43 upon upon IN 39713 7453 44 another another DT 39713 7453 45 , , , 39713 7453 46 but but CC 39713 7453 47 this this DT 39713 7453 48 action action NN 39713 7453 49 is be VBZ 39713 7453 50 so so RB 39713 7453 51 slight slight JJ 39713 7453 52 at at IN 39713 7453 53 great great JJ 39713 7453 54 distance distance NN 39713 7453 55 that that IN 39713 7453 56 their -PRON- PRP$ 39713 7453 57 trajectories trajectory NNS 39713 7453 58 are be VBP 39713 7453 59 straight straight JJ 39713 7453 60 ; ; : 39713 7453 61 and and CC 39713 7453 62 yet yet RB 39713 7453 63 , , , 39713 7453 64 from from IN 39713 7453 65 time time NN 39713 7453 66 to to IN 39713 7453 67 time time NN 39713 7453 68 , , , 39713 7453 69 two two CD 39713 7453 70 of of IN 39713 7453 71 them -PRON- PRP 39713 7453 72 may may MD 39713 7453 73 approach approach VB 39713 7453 74 near near IN 39713 7453 75 enough enough JJ 39713 7453 76 to to TO 39713 7453 77 be be VB 39713 7453 78 deviated deviate VBN 39713 7453 79 from from IN 39713 7453 80 their -PRON- PRP$ 39713 7453 81 path path NN 39713 7453 82 , , , 39713 7453 83 like like IN 39713 7453 84 a a DT 39713 7453 85 comet comet NN 39713 7453 86 which which WDT 39713 7453 87 has have VBZ 39713 7453 88 passed pass VBN 39713 7453 89 too too RB 39713 7453 90 near near IN 39713 7453 91 Jupiter Jupiter NNP 39713 7453 92 . . . 39713 7454 1 In in IN 39713 7454 2 a a DT 39713 7454 3 word word NN 39713 7454 4 , , , 39713 7454 5 to to IN 39713 7454 6 the the DT 39713 7454 7 eyes eye NNS 39713 7454 8 of of IN 39713 7454 9 a a DT 39713 7454 10 giant giant NN 39713 7454 11 for for IN 39713 7454 12 whom whom WP 39713 7454 13 our -PRON- PRP$ 39713 7454 14 suns sun NNS 39713 7454 15 would would MD 39713 7454 16 be be VB 39713 7454 17 as as IN 39713 7454 18 for for IN 39713 7454 19 us -PRON- PRP 39713 7454 20 our -PRON- PRP$ 39713 7454 21 atoms atom NNS 39713 7454 22 , , , 39713 7454 23 the the DT 39713 7454 24 milky milky JJ 39713 7454 25 way way NN 39713 7454 26 would would MD 39713 7454 27 seem seem VB 39713 7454 28 only only RB 39713 7454 29 a a DT 39713 7454 30 bubble bubble NN 39713 7454 31 of of IN 39713 7454 32 gas gas NN 39713 7454 33 . . . 39713 7455 1 Such such JJ 39713 7455 2 was be VBD 39713 7455 3 Lord Lord NNP 39713 7455 4 Kelvin Kelvin NNP 39713 7455 5 's 's POS 39713 7455 6 leading lead VBG 39713 7455 7 idea idea NN 39713 7455 8 . . . 39713 7456 1 What what WP 39713 7456 2 may may MD 39713 7456 3 be be VB 39713 7456 4 drawn draw VBN 39713 7456 5 from from IN 39713 7456 6 this this DT 39713 7456 7 comparison comparison NN 39713 7456 8 ? ? . 39713 7457 1 In in IN 39713 7457 2 how how WRB 39713 7457 3 far far RB 39713 7457 4 is be VBZ 39713 7457 5 it -PRON- PRP 39713 7457 6 exact exact JJ 39713 7457 7 ? ? . 39713 7458 1 This this DT 39713 7458 2 is be VBZ 39713 7458 3 what what WP 39713 7458 4 we -PRON- PRP 39713 7458 5 are be VBP 39713 7458 6 to to TO 39713 7458 7 investigate investigate VB 39713 7458 8 together together RB 39713 7458 9 ; ; : 39713 7458 10 but but CC 39713 7458 11 before before IN 39713 7458 12 reaching reach VBG 39713 7458 13 a a DT 39713 7458 14 definite definite JJ 39713 7458 15 conclusion conclusion NN 39713 7458 16 , , , 39713 7458 17 and and CC 39713 7458 18 without without IN 39713 7458 19 wishing wish VBG 39713 7458 20 to to TO 39713 7458 21 prejudge prejudge VB 39713 7458 22 it -PRON- PRP 39713 7458 23 , , , 39713 7458 24 we -PRON- PRP 39713 7458 25 foresee foresee VBP 39713 7458 26 that that IN 39713 7458 27 the the DT 39713 7458 28 kinetic kinetic JJ 39713 7458 29 theory theory NN 39713 7458 30 of of IN 39713 7458 31 gases gas NNS 39713 7458 32 will will MD 39713 7458 33 be be VB 39713 7458 34 for for IN 39713 7458 35 the the DT 39713 7458 36 astronomer astronomer NN 39713 7458 37 a a DT 39713 7458 38 model model NN 39713 7458 39 he -PRON- PRP 39713 7458 40 should should MD 39713 7458 41 not not RB 39713 7458 42 follow follow VB 39713 7458 43 blindly blindly RB 39713 7458 44 , , , 39713 7458 45 but but CC 39713 7458 46 from from IN 39713 7458 47 which which WDT 39713 7458 48 he -PRON- PRP 39713 7458 49 may may MD 39713 7458 50 advantageously advantageously RB 39713 7458 51 draw draw VB 39713 7458 52 inspiration inspiration NN 39713 7458 53 . . . 39713 7459 1 Up up IN 39713 7459 2 to to IN 39713 7459 3 the the DT 39713 7459 4 present present JJ 39713 7459 5 , , , 39713 7459 6 celestial celestial JJ 39713 7459 7 mechanics mechanic NNS 39713 7459 8 has have VBZ 39713 7459 9 attacked attack VBN 39713 7459 10 only only RB 39713 7459 11 the the DT 39713 7459 12 solar solar JJ 39713 7459 13 system system NN 39713 7459 14 or or CC 39713 7459 15 certain certain JJ 39713 7459 16 systems system NNS 39713 7459 17 of of IN 39713 7459 18 double double JJ 39713 7459 19 stars star NNS 39713 7459 20 . . . 39713 7460 1 Before before IN 39713 7460 2 the the DT 39713 7460 3 assemblage assemblage NN 39713 7460 4 presented present VBN 39713 7460 5 by by IN 39713 7460 6 the the DT 39713 7460 7 milky milky NNP 39713 7460 8 way way NN 39713 7460 9 , , , 39713 7460 10 or or CC 39713 7460 11 the the DT 39713 7460 12 agglomeration agglomeration NN 39713 7460 13 of of IN 39713 7460 14 stars star NNS 39713 7460 15 , , , 39713 7460 16 or or CC 39713 7460 17 the the DT 39713 7460 18 resolvable resolvable JJ 39713 7460 19 nebulae nebulae NN 39713 7460 20 it -PRON- PRP 39713 7460 21 recoils recoil VBZ 39713 7460 22 , , , 39713 7460 23 because because IN 39713 7460 24 it -PRON- PRP 39713 7460 25 sees see VBZ 39713 7460 26 therein therein RB 39713 7460 27 only only JJ 39713 7460 28 chaos chaos NN 39713 7460 29 . . . 39713 7461 1 But but CC 39713 7461 2 the the DT 39713 7461 3 milky milky JJ 39713 7461 4 way way NN 39713 7461 5 is be VBZ 39713 7461 6 not not RB 39713 7461 7 more more RBR 39713 7461 8 complicated complicated JJ 39713 7461 9 than than IN 39713 7461 10 a a DT 39713 7461 11 gas gas NN 39713 7461 12 ; ; : 39713 7461 13 the the DT 39713 7461 14 statistical statistical JJ 39713 7461 15 methods method NNS 39713 7461 16 founded found VBN 39713 7461 17 upon upon IN 39713 7461 18 the the DT 39713 7461 19 calculus calculus NN 39713 7461 20 of of IN 39713 7461 21 probabilities probability NNS 39713 7461 22 applicable applicable JJ 39713 7461 23 to to IN 39713 7461 24 a a DT 39713 7461 25 gas gas NN 39713 7461 26 are be VBP 39713 7461 27 also also RB 39713 7461 28 applicable applicable JJ 39713 7461 29 to to IN 39713 7461 30 it -PRON- PRP 39713 7461 31 . . . 39713 7462 1 Before before IN 39713 7462 2 all all DT 39713 7462 3 , , , 39713 7462 4 it -PRON- PRP 39713 7462 5 is be VBZ 39713 7462 6 important important JJ 39713 7462 7 to to TO 39713 7462 8 grasp grasp VB 39713 7462 9 the the DT 39713 7462 10 resemblance resemblance NN 39713 7462 11 of of IN 39713 7462 12 the the DT 39713 7462 13 two two CD 39713 7462 14 cases case NNS 39713 7462 15 , , , 39713 7462 16 and and CC 39713 7462 17 their -PRON- PRP$ 39713 7462 18 difference difference NN 39713 7462 19 . . . 39713 7463 1 Lord Lord NNP 39713 7463 2 Kelvin Kelvin NNP 39713 7463 3 has have VBZ 39713 7463 4 striven strive VBN 39713 7463 5 to to TO 39713 7463 6 determine determine VB 39713 7463 7 in in IN 39713 7463 8 this this DT 39713 7463 9 manner manner NN 39713 7463 10 the the DT 39713 7463 11 dimensions dimension NNS 39713 7463 12 of of IN 39713 7463 13 the the DT 39713 7463 14 milky milky NNP 39713 7463 15 way way NN 39713 7463 16 ; ; : 39713 7463 17 for for IN 39713 7463 18 that that DT 39713 7463 19 we -PRON- PRP 39713 7463 20 are be VBP 39713 7463 21 reduced reduce VBN 39713 7463 22 to to IN 39713 7463 23 counting count VBG 39713 7463 24 the the DT 39713 7463 25 stars star NNS 39713 7463 26 visible visible JJ 39713 7463 27 in in IN 39713 7463 28 our -PRON- PRP$ 39713 7463 29 telescopes telescope NNS 39713 7463 30 ; ; : 39713 7463 31 but but CC 39713 7463 32 we -PRON- PRP 39713 7463 33 are be VBP 39713 7463 34 not not RB 39713 7463 35 sure sure JJ 39713 7463 36 that that IN 39713 7463 37 behind behind IN 39713 7463 38 the the DT 39713 7463 39 stars star NNS 39713 7463 40 we -PRON- PRP 39713 7463 41 see see VBP 39713 7463 42 , , , 39713 7463 43 there there EX 39713 7463 44 are be VBP 39713 7463 45 not not RB 39713 7463 46 others other NNS 39713 7463 47 we -PRON- PRP 39713 7463 48 do do VBP 39713 7463 49 not not RB 39713 7463 50 see see VB 39713 7463 51 ; ; : 39713 7463 52 so so IN 39713 7463 53 that that IN 39713 7463 54 what what WP 39713 7463 55 we -PRON- PRP 39713 7463 56 should should MD 39713 7463 57 measure measure VB 39713 7463 58 in in IN 39713 7463 59 this this DT 39713 7463 60 way way NN 39713 7463 61 would would MD 39713 7463 62 not not RB 39713 7463 63 be be VB 39713 7463 64 the the DT 39713 7463 65 size size NN 39713 7463 66 of of IN 39713 7463 67 the the DT 39713 7463 68 milky milky JJ 39713 7463 69 way way NN 39713 7463 70 , , , 39713 7463 71 it -PRON- PRP 39713 7463 72 would would MD 39713 7463 73 be be VB 39713 7463 74 the the DT 39713 7463 75 range range NN 39713 7463 76 of of IN 39713 7463 77 our -PRON- PRP$ 39713 7463 78 instruments instrument NNS 39713 7463 79 . . . 39713 7464 1 The the DT 39713 7464 2 new new JJ 39713 7464 3 theory theory NN 39713 7464 4 comes come VBZ 39713 7464 5 to to TO 39713 7464 6 offer offer VB 39713 7464 7 us -PRON- PRP 39713 7464 8 other other JJ 39713 7464 9 resources resource NNS 39713 7464 10 . . . 39713 7465 1 In in IN 39713 7465 2 fact fact NN 39713 7465 3 , , , 39713 7465 4 we -PRON- PRP 39713 7465 5 know know VBP 39713 7465 6 the the DT 39713 7465 7 motions motion NNS 39713 7465 8 of of IN 39713 7465 9 the the DT 39713 7465 10 stars star NNS 39713 7465 11 nearest nearest VBP 39713 7465 12 us -PRON- PRP 39713 7465 13 , , , 39713 7465 14 and and CC 39713 7465 15 we -PRON- PRP 39713 7465 16 can can MD 39713 7465 17 form form VB 39713 7465 18 an an DT 39713 7465 19 idea idea NN 39713 7465 20 of of IN 39713 7465 21 the the DT 39713 7465 22 rapidity rapidity NN 39713 7465 23 and and CC 39713 7465 24 direction direction NN 39713 7465 25 of of IN 39713 7465 26 their -PRON- PRP$ 39713 7465 27 velocities velocity NNS 39713 7465 28 . . . 39713 7466 1 If if IN 39713 7466 2 the the DT 39713 7466 3 ideas idea NNS 39713 7466 4 above above RB 39713 7466 5 set set VBN 39713 7466 6 forth forth RB 39713 7466 7 are be VBP 39713 7466 8 exact exact JJ 39713 7466 9 , , , 39713 7466 10 these these DT 39713 7466 11 velocities velocity NNS 39713 7466 12 should should MD 39713 7466 13 follow follow VB 39713 7466 14 Maxwell Maxwell NNP 39713 7466 15 's 's POS 39713 7466 16 law law NN 39713 7466 17 , , , 39713 7466 18 and and CC 39713 7466 19 their -PRON- PRP$ 39713 7466 20 mean mean JJ 39713 7466 21 value value NN 39713 7466 22 will will MD 39713 7466 23 tell tell VB 39713 7466 24 us -PRON- PRP 39713 7466 25 , , , 39713 7466 26 so so RB 39713 7466 27 to to TO 39713 7466 28 speak speak VB 39713 7466 29 , , , 39713 7466 30 that that IN 39713 7466 31 which which WDT 39713 7466 32 corresponds correspond VBZ 39713 7466 33 to to IN 39713 7466 34 the the DT 39713 7466 35 temperature temperature NN 39713 7466 36 of of IN 39713 7466 37 our -PRON- PRP$ 39713 7466 38 fictitious fictitious JJ 39713 7466 39 gas gas NN 39713 7466 40 . . . 39713 7467 1 But but CC 39713 7467 2 this this DT 39713 7467 3 temperature temperature NN 39713 7467 4 depends depend VBZ 39713 7467 5 itself -PRON- PRP 39713 7467 6 upon upon IN 39713 7467 7 the the DT 39713 7467 8 dimensions dimension NNS 39713 7467 9 of of IN 39713 7467 10 our -PRON- PRP$ 39713 7467 11 gas gas NN 39713 7467 12 bubble bubble NN 39713 7467 13 . . . 39713 7468 1 In in IN 39713 7468 2 fact fact NN 39713 7468 3 , , , 39713 7468 4 how how WRB 39713 7468 5 will will MD 39713 7468 6 a a DT 39713 7468 7 gaseous gaseous JJ 39713 7468 8 mass mass NN 39713 7468 9 let let VB 39713 7468 10 loose loose RB 39713 7468 11 in in IN 39713 7468 12 the the DT 39713 7468 13 void void JJ 39713 7468 14 act act NN 39713 7468 15 , , , 39713 7468 16 if if IN 39713 7468 17 its -PRON- PRP$ 39713 7468 18 elements element NNS 39713 7468 19 attract attract VBP 39713 7468 20 one one CD 39713 7468 21 another another DT 39713 7468 22 according accord VBG 39713 7468 23 to to IN 39713 7468 24 Newton Newton NNP 39713 7468 25 's 's POS 39713 7468 26 law law NN 39713 7468 27 ? ? . 39713 7469 1 It -PRON- PRP 39713 7469 2 will will MD 39713 7469 3 take take VB 39713 7469 4 a a DT 39713 7469 5 spherical spherical JJ 39713 7469 6 form form NN 39713 7469 7 ; ; : 39713 7469 8 moreover moreover RB 39713 7469 9 , , , 39713 7469 10 because because IN 39713 7469 11 of of IN 39713 7469 12 gravitation gravitation NN 39713 7469 13 , , , 39713 7469 14 the the DT 39713 7469 15 density density NN 39713 7469 16 will will MD 39713 7469 17 be be VB 39713 7469 18 greater great JJR 39713 7469 19 at at IN 39713 7469 20 the the DT 39713 7469 21 center center NN 39713 7469 22 , , , 39713 7469 23 the the DT 39713 7469 24 pressure pressure NN 39713 7469 25 also also RB 39713 7469 26 will will MD 39713 7469 27 increase increase VB 39713 7469 28 from from IN 39713 7469 29 the the DT 39713 7469 30 surface surface NN 39713 7469 31 to to IN 39713 7469 32 the the DT 39713 7469 33 center center NN 39713 7469 34 because because IN 39713 7469 35 of of IN 39713 7469 36 the the DT 39713 7469 37 weight weight NN 39713 7469 38 of of IN 39713 7469 39 the the DT 39713 7469 40 outer outer JJ 39713 7469 41 parts part NNS 39713 7469 42 drawn draw VBN 39713 7469 43 toward toward IN 39713 7469 44 the the DT 39713 7469 45 center center NN 39713 7469 46 ; ; : 39713 7469 47 finally finally RB 39713 7469 48 , , , 39713 7469 49 the the DT 39713 7469 50 temperature temperature NN 39713 7469 51 will will MD 39713 7469 52 increase increase VB 39713 7469 53 toward toward IN 39713 7469 54 the the DT 39713 7469 55 center center NN 39713 7469 56 : : : 39713 7469 57 the the DT 39713 7469 58 temperature temperature NN 39713 7469 59 and and CC 39713 7469 60 the the DT 39713 7469 61 pressure pressure NN 39713 7469 62 being be VBG 39713 7469 63 connected connect VBN 39713 7469 64 by by IN 39713 7469 65 the the DT 39713 7469 66 law law NN 39713 7469 67 called call VBN 39713 7469 68 adiabatic adiabatic JJ 39713 7469 69 , , , 39713 7469 70 as as IN 39713 7469 71 happens happen VBZ 39713 7469 72 in in IN 39713 7469 73 the the DT 39713 7469 74 successive successive JJ 39713 7469 75 layers layer NNS 39713 7469 76 of of IN 39713 7469 77 our -PRON- PRP$ 39713 7469 78 atmosphere atmosphere NN 39713 7469 79 . . . 39713 7470 1 At at IN 39713 7470 2 the the DT 39713 7470 3 surface surface NN 39713 7470 4 itself -PRON- PRP 39713 7470 5 , , , 39713 7470 6 the the DT 39713 7470 7 pressure pressure NN 39713 7470 8 will will MD 39713 7470 9 be be VB 39713 7470 10 null null JJ 39713 7470 11 , , , 39713 7470 12 and and CC 39713 7470 13 it -PRON- PRP 39713 7470 14 will will MD 39713 7470 15 be be VB 39713 7470 16 the the DT 39713 7470 17 same same JJ 39713 7470 18 with with IN 39713 7470 19 the the DT 39713 7470 20 absolute absolute JJ 39713 7470 21 temperature temperature NN 39713 7470 22 , , , 39713 7470 23 that that DT 39713 7470 24 is be VBZ 39713 7470 25 to to TO 39713 7470 26 say say VB 39713 7470 27 with with IN 39713 7470 28 the the DT 39713 7470 29 velocity velocity NN 39713 7470 30 of of IN 39713 7470 31 the the DT 39713 7470 32 molecules molecule NNS 39713 7470 33 . . . 39713 7471 1 A a DT 39713 7471 2 question question NN 39713 7471 3 comes come VBZ 39713 7471 4 here here RB 39713 7471 5 : : : 39713 7471 6 I -PRON- PRP 39713 7471 7 have have VBP 39713 7471 8 spoken speak VBN 39713 7471 9 of of IN 39713 7471 10 the the DT 39713 7471 11 adiabatic adiabatic JJ 39713 7471 12 law law NN 39713 7471 13 , , , 39713 7471 14 but but CC 39713 7471 15 this this DT 39713 7471 16 law law NN 39713 7471 17 is be VBZ 39713 7471 18 not not RB 39713 7471 19 the the DT 39713 7471 20 same same JJ 39713 7471 21 for for IN 39713 7471 22 all all DT 39713 7471 23 gases gas NNS 39713 7471 24 , , , 39713 7471 25 since since IN 39713 7471 26 it -PRON- PRP 39713 7471 27 depends depend VBZ 39713 7471 28 upon upon IN 39713 7471 29 the the DT 39713 7471 30 ratio ratio NN 39713 7471 31 of of IN 39713 7471 32 their -PRON- PRP$ 39713 7471 33 two two CD 39713 7471 34 specific specific JJ 39713 7471 35 heats heat NNS 39713 7471 36 ; ; : 39713 7471 37 for for IN 39713 7471 38 the the DT 39713 7471 39 air air NN 39713 7471 40 and and CC 39713 7471 41 like like IN 39713 7471 42 gases gas NNS 39713 7471 43 , , , 39713 7471 44 this this DT 39713 7471 45 ratio ratio NN 39713 7471 46 is be VBZ 39713 7471 47 1.42 1.42 CD 39713 7471 48 ; ; : 39713 7471 49 but but CC 39713 7471 50 is be VBZ 39713 7471 51 it -PRON- PRP 39713 7471 52 to to TO 39713 7471 53 air air NN 39713 7471 54 that that IN 39713 7471 55 it -PRON- PRP 39713 7471 56 is be VBZ 39713 7471 57 proper proper JJ 39713 7471 58 to to TO 39713 7471 59 liken liken VB 39713 7471 60 the the DT 39713 7471 61 milky milky JJ 39713 7471 62 way way NN 39713 7471 63 ? ? . 39713 7472 1 Evidently evidently RB 39713 7472 2 not not RB 39713 7472 3 , , , 39713 7472 4 it -PRON- PRP 39713 7472 5 should should MD 39713 7472 6 be be VB 39713 7472 7 regarded regard VBN 39713 7472 8 as as IN 39713 7472 9 a a DT 39713 7472 10 mono mono JJ 39713 7472 11 - - HYPH 39713 7472 12 atomic atomic JJ 39713 7472 13 gas gas NN 39713 7472 14 , , , 39713 7472 15 like like IN 39713 7472 16 mercury mercury NNP 39713 7472 17 vapor vapor NNP 39713 7472 18 , , , 39713 7472 19 like like IN 39713 7472 20 argon argon NNP 39713 7472 21 , , , 39713 7472 22 like like IN 39713 7472 23 helium helium NN 39713 7472 24 , , , 39713 7472 25 that that DT 39713 7472 26 is be VBZ 39713 7472 27 to to TO 39713 7472 28 say say VB 39713 7472 29 that that IN 39713 7472 30 the the DT 39713 7472 31 ratio ratio NN 39713 7472 32 of of IN 39713 7472 33 the the DT 39713 7472 34 specific specific JJ 39713 7472 35 heats heat NNS 39713 7472 36 should should MD 39713 7472 37 be be VB 39713 7472 38 taken take VBN 39713 7472 39 equal equal JJ 39713 7472 40 to to IN 39713 7472 41 1.66 1.66 CD 39713 7472 42 . . . 39713 7473 1 And and CC 39713 7473 2 , , , 39713 7473 3 in in IN 39713 7473 4 fact fact NN 39713 7473 5 , , , 39713 7473 6 one one CD 39713 7473 7 of of IN 39713 7473 8 our -PRON- PRP$ 39713 7473 9 molecules molecule NNS 39713 7473 10 would would MD 39713 7473 11 be be VB 39713 7473 12 for for IN 39713 7473 13 example example NN 39713 7473 14 the the DT 39713 7473 15 solar solar JJ 39713 7473 16 system system NN 39713 7473 17 ; ; : 39713 7473 18 but but CC 39713 7473 19 the the DT 39713 7473 20 planets planet NNS 39713 7473 21 are be VBP 39713 7473 22 very very RB 39713 7473 23 small small JJ 39713 7473 24 personages personage NNS 39713 7473 25 , , , 39713 7473 26 the the DT 39713 7473 27 sun sun NN 39713 7473 28 alone alone RB 39713 7473 29 counts count VBZ 39713 7473 30 , , , 39713 7473 31 so so IN 39713 7473 32 that that IN 39713 7473 33 our -PRON- PRP$ 39713 7473 34 molecule molecule NN 39713 7473 35 is be VBZ 39713 7473 36 indeed indeed RB 39713 7473 37 mono mono NNP 39713 7473 38 - - HYPH 39713 7473 39 atomic atomic JJ 39713 7473 40 . . . 39713 7474 1 And and CC 39713 7474 2 even even RB 39713 7474 3 if if IN 39713 7474 4 we -PRON- PRP 39713 7474 5 take take VBP 39713 7474 6 a a DT 39713 7474 7 double double JJ 39713 7474 8 star star NN 39713 7474 9 , , , 39713 7474 10 it -PRON- PRP 39713 7474 11 is be VBZ 39713 7474 12 probable probable JJ 39713 7474 13 that that IN 39713 7474 14 the the DT 39713 7474 15 action action NN 39713 7474 16 of of IN 39713 7474 17 a a DT 39713 7474 18 strange strange JJ 39713 7474 19 star star NN 39713 7474 20 which which WDT 39713 7474 21 might may MD 39713 7474 22 approach approach VB 39713 7474 23 it -PRON- PRP 39713 7474 24 would would MD 39713 7474 25 become become VB 39713 7474 26 sufficiently sufficiently RB 39713 7474 27 sensible sensible JJ 39713 7474 28 to to TO 39713 7474 29 deviate deviate VB 39713 7474 30 the the DT 39713 7474 31 motion motion NN 39713 7474 32 of of IN 39713 7474 33 general general JJ 39713 7474 34 translation translation NN 39713 7474 35 of of IN 39713 7474 36 the the DT 39713 7474 37 system system NN 39713 7474 38 much much RB 39713 7474 39 before before IN 39713 7474 40 being be VBG 39713 7474 41 able able JJ 39713 7474 42 to to TO 39713 7474 43 trouble trouble VB 39713 7474 44 the the DT 39713 7474 45 relative relative JJ 39713 7474 46 orbits orbit NNS 39713 7474 47 of of IN 39713 7474 48 the the DT 39713 7474 49 two two CD 39713 7474 50 components component NNS 39713 7474 51 ; ; : 39713 7474 52 the the DT 39713 7474 53 double double JJ 39713 7474 54 star star NN 39713 7474 55 , , , 39713 7474 56 in in IN 39713 7474 57 a a DT 39713 7474 58 word word NN 39713 7474 59 , , , 39713 7474 60 would would MD 39713 7474 61 act act VB 39713 7474 62 like like IN 39713 7474 63 an an DT 39713 7474 64 indivisible indivisible JJ 39713 7474 65 atom atom NN 39713 7474 66 . . . 39713 7475 1 However however RB 39713 7475 2 that that DT 39713 7475 3 may may MD 39713 7475 4 be be VB 39713 7475 5 , , , 39713 7475 6 the the DT 39713 7475 7 pressure pressure NN 39713 7475 8 , , , 39713 7475 9 and and CC 39713 7475 10 consequently consequently RB 39713 7475 11 the the DT 39713 7475 12 temperature temperature NN 39713 7475 13 , , , 39713 7475 14 at at IN 39713 7475 15 the the DT 39713 7475 16 center center NN 39713 7475 17 of of IN 39713 7475 18 the the DT 39713 7475 19 gaseous gaseous JJ 39713 7475 20 sphere sphere NN 39713 7475 21 would would MD 39713 7475 22 be be VB 39713 7475 23 by by IN 39713 7475 24 so so RB 39713 7475 25 much much RB 39713 7475 26 the the DT 39713 7475 27 greater great JJR 39713 7475 28 as as IN 39713 7475 29 the the DT 39713 7475 30 sphere sphere NN 39713 7475 31 was be VBD 39713 7475 32 larger large JJR 39713 7475 33 since since IN 39713 7475 34 the the DT 39713 7475 35 pressure pressure NN 39713 7475 36 increases increase NNS 39713 7475 37 by by IN 39713 7475 38 the the DT 39713 7475 39 weight weight NN 39713 7475 40 of of IN 39713 7475 41 all all PDT 39713 7475 42 the the DT 39713 7475 43 superposed superpose VBN 39713 7475 44 layers layer NNS 39713 7475 45 . . . 39713 7476 1 We -PRON- PRP 39713 7476 2 may may MD 39713 7476 3 suppose suppose VB 39713 7476 4 that that IN 39713 7476 5 we -PRON- PRP 39713 7476 6 are be VBP 39713 7476 7 nearly nearly RB 39713 7476 8 at at IN 39713 7476 9 the the DT 39713 7476 10 center center NN 39713 7476 11 of of IN 39713 7476 12 the the DT 39713 7476 13 milky milky NNP 39713 7476 14 way way NN 39713 7476 15 , , , 39713 7476 16 and and CC 39713 7476 17 by by IN 39713 7476 18 observing observe VBG 39713 7476 19 the the DT 39713 7476 20 mean mean JJ 39713 7476 21 proper proper JJ 39713 7476 22 velocity velocity NN 39713 7476 23 of of IN 39713 7476 24 the the DT 39713 7476 25 stars star NNS 39713 7476 26 , , , 39713 7476 27 we -PRON- PRP 39713 7476 28 shall shall MD 39713 7476 29 know know VB 39713 7476 30 that that IN 39713 7476 31 which which WDT 39713 7476 32 corresponds correspond VBZ 39713 7476 33 to to IN 39713 7476 34 the the DT 39713 7476 35 central central JJ 39713 7476 36 temperature temperature NN 39713 7476 37 of of IN 39713 7476 38 our -PRON- PRP$ 39713 7476 39 gaseous gaseous JJ 39713 7476 40 sphere sphere NN 39713 7476 41 and and CC 39713 7476 42 we -PRON- PRP 39713 7476 43 shall shall MD 39713 7476 44 determine determine VB 39713 7476 45 its -PRON- PRP$ 39713 7476 46 radius radius NN 39713 7476 47 . . . 39713 7477 1 We -PRON- PRP 39713 7477 2 may may MD 39713 7477 3 get get VB 39713 7477 4 an an DT 39713 7477 5 idea idea NN 39713 7477 6 of of IN 39713 7477 7 the the DT 39713 7477 8 result result NN 39713 7477 9 by by IN 39713 7477 10 the the DT 39713 7477 11 following follow VBG 39713 7477 12 considerations consideration NNS 39713 7477 13 : : : 39713 7477 14 make make VB 39713 7477 15 a a DT 39713 7477 16 simpler simple JJR 39713 7477 17 hypothesis hypothesis NN 39713 7477 18 : : : 39713 7477 19 the the DT 39713 7477 20 milky milky NNP 39713 7477 21 way way NN 39713 7477 22 is be VBZ 39713 7477 23 spherical spherical JJ 39713 7477 24 , , , 39713 7477 25 and and CC 39713 7477 26 in in IN 39713 7477 27 it -PRON- PRP 39713 7477 28 the the DT 39713 7477 29 masses masse NNS 39713 7477 30 are be VBP 39713 7477 31 distributed distribute VBN 39713 7477 32 in in IN 39713 7477 33 a a DT 39713 7477 34 homogeneous homogeneous JJ 39713 7477 35 manner manner NN 39713 7477 36 ; ; : 39713 7477 37 thence thence NN 39713 7477 38 results result VBZ 39713 7477 39 that that IN 39713 7477 40 the the DT 39713 7477 41 stars star NNS 39713 7477 42 in in IN 39713 7477 43 it -PRON- PRP 39713 7477 44 describe describe VBP 39713 7477 45 ellipses ellipsis NNS 39713 7477 46 having have VBG 39713 7477 47 the the DT 39713 7477 48 same same JJ 39713 7477 49 center center NN 39713 7477 50 . . . 39713 7478 1 If if IN 39713 7478 2 we -PRON- PRP 39713 7478 3 suppose suppose VBP 39713 7478 4 the the DT 39713 7478 5 velocity velocity NN 39713 7478 6 becomes become VBZ 39713 7478 7 nothing nothing NN 39713 7478 8 at at IN 39713 7478 9 the the DT 39713 7478 10 surface surface NN 39713 7478 11 , , , 39713 7478 12 we -PRON- PRP 39713 7478 13 may may MD 39713 7478 14 calculate calculate VB 39713 7478 15 this this DT 39713 7478 16 velocity velocity NN 39713 7478 17 at at IN 39713 7478 18 the the DT 39713 7478 19 center center NN 39713 7478 20 by by IN 39713 7478 21 the the DT 39713 7478 22 equation equation NN 39713 7478 23 of of IN 39713 7478 24 vis vis FW 39713 7478 25 viva viva FW 39713 7478 26 . . . 39713 7479 1 Thus thus RB 39713 7479 2 we -PRON- PRP 39713 7479 3 find find VBP 39713 7479 4 that that IN 39713 7479 5 this this DT 39713 7479 6 velocity velocity NN 39713 7479 7 is be VBZ 39713 7479 8 proportional proportional JJ 39713 7479 9 to to IN 39713 7479 10 the the DT 39713 7479 11 radius radius NN 39713 7479 12 of of IN 39713 7479 13 the the DT 39713 7479 14 sphere sphere NN 39713 7479 15 and and CC 39713 7479 16 to to IN 39713 7479 17 the the DT 39713 7479 18 square square JJ 39713 7479 19 root root NN 39713 7479 20 of of IN 39713 7479 21 its -PRON- PRP$ 39713 7479 22 density density NN 39713 7479 23 . . . 39713 7480 1 If if IN 39713 7480 2 the the DT 39713 7480 3 mass mass NN 39713 7480 4 of of IN 39713 7480 5 this this DT 39713 7480 6 sphere sphere NN 39713 7480 7 was be VBD 39713 7480 8 that that DT 39713 7480 9 of of IN 39713 7480 10 the the DT 39713 7480 11 sun sun NN 39713 7480 12 and and CC 39713 7480 13 its -PRON- PRP$ 39713 7480 14 radius radius NN 39713 7480 15 that that DT 39713 7480 16 of of IN 39713 7480 17 the the DT 39713 7480 18 terrestrial terrestrial JJ 39713 7480 19 orbit orbit NN 39713 7480 20 , , , 39713 7480 21 this this DT 39713 7480 22 velocity velocity NN 39713 7480 23 would would MD 39713 7480 24 be be VB 39713 7480 25 ( ( -LRB- 39713 7480 26 it -PRON- PRP 39713 7480 27 is be VBZ 39713 7480 28 easy easy JJ 39713 7480 29 to to TO 39713 7480 30 see see VB 39713 7480 31 ) ) -RRB- 39713 7480 32 that that DT 39713 7480 33 of of IN 39713 7480 34 the the DT 39713 7480 35 earth earth NN 39713 7480 36 in in IN 39713 7480 37 its -PRON- PRP$ 39713 7480 38 orbit orbit NN 39713 7480 39 . . . 39713 7481 1 But but CC 39713 7481 2 in in IN 39713 7481 3 the the DT 39713 7481 4 case case NN 39713 7481 5 we -PRON- PRP 39713 7481 6 have have VBP 39713 7481 7 supposed suppose VBN 39713 7481 8 , , , 39713 7481 9 the the DT 39713 7481 10 mass mass NN 39713 7481 11 of of IN 39713 7481 12 the the DT 39713 7481 13 sun sun NN 39713 7481 14 should should MD 39713 7481 15 be be VB 39713 7481 16 distributed distribute VBN 39713 7481 17 in in IN 39713 7481 18 a a DT 39713 7481 19 sphere sphere NN 39713 7481 20 of of IN 39713 7481 21 radius radius NN 39713 7481 22 1,000,000 1,000,000 CD 39713 7481 23 times time NNS 39713 7481 24 greater great JJR 39713 7481 25 , , , 39713 7481 26 this this DT 39713 7481 27 radius radius NN 39713 7481 28 being be VBG 39713 7481 29 the the DT 39713 7481 30 distance distance NN 39713 7481 31 of of IN 39713 7481 32 the the DT 39713 7481 33 nearest near JJS 39713 7481 34 stars star NNS 39713 7481 35 ; ; : 39713 7481 36 the the DT 39713 7481 37 density density NN 39713 7481 38 is be VBZ 39713 7481 39 therefore therefore RB 39713 7481 40 10^{18 10^{18 CD 39713 7481 41 } } -RRB- 39713 7481 42 times time NNS 39713 7481 43 less less RBR 39713 7481 44 ; ; : 39713 7481 45 now now RB 39713 7481 46 , , , 39713 7481 47 the the DT 39713 7481 48 velocities velocity NNS 39713 7481 49 are be VBP 39713 7481 50 of of IN 39713 7481 51 the the DT 39713 7481 52 same same JJ 39713 7481 53 order order NN 39713 7481 54 , , , 39713 7481 55 therefore therefore RB 39713 7481 56 it -PRON- PRP 39713 7481 57 is be VBZ 39713 7481 58 necessary necessary JJ 39713 7481 59 that that IN 39713 7481 60 the the DT 39713 7481 61 radius radius NN 39713 7481 62 be be VB 39713 7481 63 10^{9 10^{9 CD 39713 7481 64 } } -RRB- 39713 7481 65 times time NNS 39713 7481 66 greater great JJR 39713 7481 67 , , , 39713 7481 68 be be VB 39713 7481 69 1,000 1,000 CD 39713 7481 70 times time NNS 39713 7481 71 the the DT 39713 7481 72 distance distance NN 39713 7481 73 of of IN 39713 7481 74 the the DT 39713 7481 75 nearest near JJS 39713 7481 76 stars star NNS 39713 7481 77 , , , 39713 7481 78 which which WDT 39713 7481 79 would would MD 39713 7481 80 give give VB 39713 7481 81 about about RP 39713 7481 82 a a DT 39713 7481 83 thousand thousand CD 39713 7481 84 millions million NNS 39713 7481 85 of of IN 39713 7481 86 stars star NNS 39713 7481 87 in in IN 39713 7481 88 the the DT 39713 7481 89 milky milky JJ 39713 7481 90 way way NN 39713 7481 91 . . . 39713 7482 1 But but CC 39713 7482 2 you -PRON- PRP 39713 7482 3 will will MD 39713 7482 4 say say VB 39713 7482 5 these these DT 39713 7482 6 hypothesis hypothesis NN 39713 7482 7 differ differ VBP 39713 7482 8 greatly greatly RB 39713 7482 9 from from IN 39713 7482 10 the the DT 39713 7482 11 reality reality NN 39713 7482 12 ; ; : 39713 7482 13 first first RB 39713 7482 14 , , , 39713 7482 15 the the DT 39713 7482 16 milky milky JJ 39713 7482 17 way way NN 39713 7482 18 is be VBZ 39713 7482 19 not not RB 39713 7482 20 spherical spherical JJ 39713 7482 21 and and CC 39713 7482 22 we -PRON- PRP 39713 7482 23 shall shall MD 39713 7482 24 soon soon RB 39713 7482 25 return return VB 39713 7482 26 to to IN 39713 7482 27 this this DT 39713 7482 28 point point NN 39713 7482 29 , , , 39713 7482 30 and and CC 39713 7482 31 again again RB 39713 7482 32 the the DT 39713 7482 33 kinetic kinetic JJ 39713 7482 34 theory theory NN 39713 7482 35 of of IN 39713 7482 36 gases gas NNS 39713 7482 37 is be VBZ 39713 7482 38 not not RB 39713 7482 39 compatible compatible JJ 39713 7482 40 with with IN 39713 7482 41 the the DT 39713 7482 42 hypothesis hypothesis NN 39713 7482 43 of of IN 39713 7482 44 a a DT 39713 7482 45 homogeneous homogeneous JJ 39713 7482 46 sphere sphere NN 39713 7482 47 . . . 39713 7483 1 But but CC 39713 7483 2 in in IN 39713 7483 3 making make VBG 39713 7483 4 the the DT 39713 7483 5 exact exact JJ 39713 7483 6 calculation calculation NN 39713 7483 7 according accord VBG 39713 7483 8 to to IN 39713 7483 9 this this DT 39713 7483 10 theory theory NN 39713 7483 11 , , , 39713 7483 12 we -PRON- PRP 39713 7483 13 should should MD 39713 7483 14 find find VB 39713 7483 15 a a DT 39713 7483 16 different different JJ 39713 7483 17 result result NN 39713 7483 18 , , , 39713 7483 19 doubtless doubtless RB 39713 7483 20 , , , 39713 7483 21 but but CC 39713 7483 22 of of IN 39713 7483 23 the the DT 39713 7483 24 same same JJ 39713 7483 25 order order NN 39713 7483 26 of of IN 39713 7483 27 magnitude magnitude NN 39713 7483 28 ; ; : 39713 7483 29 now now RB 39713 7483 30 in in IN 39713 7483 31 such such PDT 39713 7483 32 a a DT 39713 7483 33 problem problem NN 39713 7483 34 the the DT 39713 7483 35 data datum NNS 39713 7483 36 are be VBP 39713 7483 37 so so RB 39713 7483 38 uncertain uncertain JJ 39713 7483 39 that that IN 39713 7483 40 the the DT 39713 7483 41 order order NN 39713 7483 42 of of IN 39713 7483 43 magnitude magnitude NN 39713 7483 44 is be VBZ 39713 7483 45 the the DT 39713 7483 46 sole sole JJ 39713 7483 47 end end NN 39713 7483 48 to to TO 39713 7483 49 be be VB 39713 7483 50 aimed aim VBN 39713 7483 51 at at IN 39713 7483 52 . . . 39713 7484 1 And and CC 39713 7484 2 here here RB 39713 7484 3 a a DT 39713 7484 4 first first JJ 39713 7484 5 remark remark NN 39713 7484 6 presents present VBZ 39713 7484 7 itself -PRON- PRP 39713 7484 8 ; ; : 39713 7484 9 Lord Lord NNP 39713 7484 10 Kelvin Kelvin NNP 39713 7484 11 's 's POS 39713 7484 12 result result NN 39713 7484 13 , , , 39713 7484 14 which which WDT 39713 7484 15 I -PRON- PRP 39713 7484 16 have have VBP 39713 7484 17 obtained obtain VBN 39713 7484 18 again again RB 39713 7484 19 by by IN 39713 7484 20 an an DT 39713 7484 21 approximative approximative JJ 39713 7484 22 calculation calculation NN 39713 7484 23 , , , 39713 7484 24 agrees agree VBZ 39713 7484 25 sensibly sensibly RB 39713 7484 26 with with IN 39713 7484 27 the the DT 39713 7484 28 evaluations evaluation NNS 39713 7484 29 the the DT 39713 7484 30 observers observer NNS 39713 7484 31 have have VBP 39713 7484 32 made make VBN 39713 7484 33 with with IN 39713 7484 34 their -PRON- PRP$ 39713 7484 35 telescopes telescope NNS 39713 7484 36 ; ; : 39713 7484 37 so so IN 39713 7484 38 that that IN 39713 7484 39 we -PRON- PRP 39713 7484 40 must must MD 39713 7484 41 conclude conclude VB 39713 7484 42 we -PRON- PRP 39713 7484 43 are be VBP 39713 7484 44 very very RB 39713 7484 45 near near JJ 39713 7484 46 to to IN 39713 7484 47 piercing pierce VBG 39713 7484 48 through through IN 39713 7484 49 the the DT 39713 7484 50 milky milky NNP 39713 7484 51 way way NN 39713 7484 52 . . . 39713 7485 1 But but CC 39713 7485 2 that that DT 39713 7485 3 enables enable VBZ 39713 7485 4 us -PRON- PRP 39713 7485 5 to to TO 39713 7485 6 answer answer VB 39713 7485 7 another another DT 39713 7485 8 question question NN 39713 7485 9 . . . 39713 7486 1 There there EX 39713 7486 2 are be VBP 39713 7486 3 the the DT 39713 7486 4 stars star NNS 39713 7486 5 we -PRON- PRP 39713 7486 6 see see VBP 39713 7486 7 because because IN 39713 7486 8 they -PRON- PRP 39713 7486 9 shine shine VBP 39713 7486 10 ; ; : 39713 7486 11 but but CC 39713 7486 12 may may MD 39713 7486 13 there there EX 39713 7486 14 not not RB 39713 7486 15 be be VB 39713 7486 16 dark dark JJ 39713 7486 17 stars star NNS 39713 7486 18 circulating circulate VBG 39713 7486 19 in in IN 39713 7486 20 the the DT 39713 7486 21 interstellar interstellar JJ 39713 7486 22 spaces space NNS 39713 7486 23 whose whose WP$ 39713 7486 24 existence existence NN 39713 7486 25 might may MD 39713 7486 26 long long RB 39713 7486 27 remain remain VB 39713 7486 28 unknown unknown JJ 39713 7486 29 ? ? . 39713 7487 1 But but CC 39713 7487 2 then then RB 39713 7487 3 , , , 39713 7487 4 what what WP 39713 7487 5 Lord Lord NNP 39713 7487 6 Kelvin Kelvin NNP 39713 7487 7 's 's POS 39713 7487 8 method method NN 39713 7487 9 would would MD 39713 7487 10 give give VB 39713 7487 11 us -PRON- PRP 39713 7487 12 would would MD 39713 7487 13 be be VB 39713 7487 14 the the DT 39713 7487 15 total total JJ 39713 7487 16 number number NN 39713 7487 17 of of IN 39713 7487 18 stars star NNS 39713 7487 19 , , , 39713 7487 20 including include VBG 39713 7487 21 the the DT 39713 7487 22 dark dark JJ 39713 7487 23 stars star NNS 39713 7487 24 ; ; : 39713 7487 25 as as IN 39713 7487 26 his -PRON- PRP$ 39713 7487 27 figure figure NN 39713 7487 28 is be VBZ 39713 7487 29 comparable comparable JJ 39713 7487 30 to to IN 39713 7487 31 that that IN 39713 7487 32 the the DT 39713 7487 33 telescope telescope NN 39713 7487 34 gives give VBZ 39713 7487 35 , , , 39713 7487 36 this this DT 39713 7487 37 means mean VBZ 39713 7487 38 there there EX 39713 7487 39 is be VBZ 39713 7487 40 no no DT 39713 7487 41 dark dark JJ 39713 7487 42 matter matter NN 39713 7487 43 , , , 39713 7487 44 or or CC 39713 7487 45 at at IN 39713 7487 46 least least JJS 39713 7487 47 not not RB 39713 7487 48 so so RB 39713 7487 49 much much JJ 39713 7487 50 as as IN 39713 7487 51 of of IN 39713 7487 52 shining shine VBG 39713 7487 53 matter matter NN 39713 7487 54 . . . 39713 7488 1 Before before IN 39713 7488 2 going go VBG 39713 7488 3 further far RBR 39713 7488 4 , , , 39713 7488 5 we -PRON- PRP 39713 7488 6 must must MD 39713 7488 7 look look VB 39713 7488 8 at at IN 39713 7488 9 the the DT 39713 7488 10 problem problem NN 39713 7488 11 from from IN 39713 7488 12 another another DT 39713 7488 13 angle angle NN 39713 7488 14 . . . 39713 7489 1 Is be VBZ 39713 7489 2 the the DT 39713 7489 3 milky milky JJ 39713 7489 4 way way NN 39713 7489 5 thus thus RB 39713 7489 6 constituted constitute VBD 39713 7489 7 truly truly RB 39713 7489 8 the the DT 39713 7489 9 image image NN 39713 7489 10 of of IN 39713 7489 11 a a DT 39713 7489 12 gas gas NN 39713 7489 13 properly properly RB 39713 7489 14 so so RB 39713 7489 15 called call VBN 39713 7489 16 ? ? . 39713 7490 1 You -PRON- PRP 39713 7490 2 know know VBP 39713 7490 3 Crookes Crookes NNP 39713 7490 4 has have VBZ 39713 7490 5 introduced introduce VBN 39713 7490 6 the the DT 39713 7490 7 notion notion NN 39713 7490 8 of of IN 39713 7490 9 a a DT 39713 7490 10 fourth fourth JJ 39713 7490 11 state state NN 39713 7490 12 of of IN 39713 7490 13 matter matter NN 39713 7490 14 , , , 39713 7490 15 where where WRB 39713 7490 16 gases gas NNS 39713 7490 17 having have VBG 39713 7490 18 become become VBN 39713 7490 19 too too RB 39713 7490 20 rarefied rarefied JJ 39713 7490 21 are be VBP 39713 7490 22 no no RB 39713 7490 23 longer long RBR 39713 7490 24 true true JJ 39713 7490 25 gases gas NNS 39713 7490 26 and and CC 39713 7490 27 become become VB 39713 7490 28 what what WP 39713 7490 29 he -PRON- PRP 39713 7490 30 calls call VBZ 39713 7490 31 radiant radiant JJ 39713 7490 32 matter matter NN 39713 7490 33 . . . 39713 7491 1 Considering consider VBG 39713 7491 2 the the DT 39713 7491 3 slight slight JJ 39713 7491 4 density density NN 39713 7491 5 of of IN 39713 7491 6 the the DT 39713 7491 7 milky milky NNP 39713 7491 8 way way NN 39713 7491 9 , , , 39713 7491 10 is be VBZ 39713 7491 11 it -PRON- PRP 39713 7491 12 the the DT 39713 7491 13 image image NN 39713 7491 14 of of IN 39713 7491 15 gaseous gaseous JJ 39713 7491 16 matter matter NN 39713 7491 17 or or CC 39713 7491 18 of of IN 39713 7491 19 radiant radiant JJ 39713 7491 20 matter matter NN 39713 7491 21 ? ? . 39713 7492 1 The the DT 39713 7492 2 consideration consideration NN 39713 7492 3 of of IN 39713 7492 4 what what WP 39713 7492 5 is be VBZ 39713 7492 6 called call VBN 39713 7492 7 the the DT 39713 7492 8 _ _ NNP 39713 7492 9 free free JJ 39713 7492 10 path path NN 39713 7492 11 _ _ NNP 39713 7492 12 will will MD 39713 7492 13 furnish furnish VB 39713 7492 14 us -PRON- PRP 39713 7492 15 the the DT 39713 7492 16 answer answer NN 39713 7492 17 . . . 39713 7493 1 The the DT 39713 7493 2 trajectory trajectory NN 39713 7493 3 of of IN 39713 7493 4 a a DT 39713 7493 5 gaseous gaseous JJ 39713 7493 6 molecule molecule NN 39713 7493 7 may may MD 39713 7493 8 be be VB 39713 7493 9 regarded regard VBN 39713 7493 10 as as IN 39713 7493 11 formed form VBN 39713 7493 12 of of IN 39713 7493 13 straight straight JJ 39713 7493 14 segments segment NNS 39713 7493 15 united unite VBN 39713 7493 16 by by IN 39713 7493 17 very very RB 39713 7493 18 small small JJ 39713 7493 19 arcs arc NNS 39713 7493 20 corresponding correspond VBG 39713 7493 21 to to IN 39713 7493 22 the the DT 39713 7493 23 successive successive JJ 39713 7493 24 impacts impact NNS 39713 7493 25 . . . 39713 7494 1 The the DT 39713 7494 2 length length NN 39713 7494 3 of of IN 39713 7494 4 each each DT 39713 7494 5 of of IN 39713 7494 6 these these DT 39713 7494 7 segments segment NNS 39713 7494 8 is be VBZ 39713 7494 9 what what WP 39713 7494 10 is be VBZ 39713 7494 11 called call VBN 39713 7494 12 the the DT 39713 7494 13 free free JJ 39713 7494 14 path path NN 39713 7494 15 ; ; : 39713 7494 16 of of IN 39713 7494 17 course course NN 39713 7494 18 this this DT 39713 7494 19 length length NN 39713 7494 20 is be VBZ 39713 7494 21 not not RB 39713 7494 22 the the DT 39713 7494 23 same same JJ 39713 7494 24 for for IN 39713 7494 25 all all PDT 39713 7494 26 the the DT 39713 7494 27 segments segment NNS 39713 7494 28 and and CC 39713 7494 29 for for IN 39713 7494 30 all all PDT 39713 7494 31 the the DT 39713 7494 32 molecules molecule NNS 39713 7494 33 ; ; : 39713 7494 34 but but CC 39713 7494 35 we -PRON- PRP 39713 7494 36 may may MD 39713 7494 37 take take VB 39713 7494 38 a a DT 39713 7494 39 mean mean NN 39713 7494 40 ; ; : 39713 7494 41 this this DT 39713 7494 42 is be VBZ 39713 7494 43 what what WP 39713 7494 44 is be VBZ 39713 7494 45 called call VBN 39713 7494 46 the the DT 39713 7494 47 _ _ NNP 39713 7494 48 mean mean NNP 39713 7494 49 path path NN 39713 7494 50 _ _ NNP 39713 7494 51 . . . 39713 7495 1 This this DT 39713 7495 2 is be VBZ 39713 7495 3 the the DT 39713 7495 4 greater great JJR 39713 7495 5 the the DT 39713 7495 6 less less RBR 39713 7495 7 the the DT 39713 7495 8 density density NN 39713 7495 9 of of IN 39713 7495 10 the the DT 39713 7495 11 gas gas NN 39713 7495 12 . . . 39713 7496 1 The the DT 39713 7496 2 matter matter NN 39713 7496 3 will will MD 39713 7496 4 be be VB 39713 7496 5 radiant radiant JJ 39713 7496 6 if if IN 39713 7496 7 the the DT 39713 7496 8 mean mean JJ 39713 7496 9 path path NN 39713 7496 10 is be VBZ 39713 7496 11 greater great JJR 39713 7496 12 than than IN 39713 7496 13 the the DT 39713 7496 14 dimensions dimension NNS 39713 7496 15 of of IN 39713 7496 16 the the DT 39713 7496 17 receptacle receptacle NN 39713 7496 18 wherein wherein WRB 39713 7496 19 the the DT 39713 7496 20 gas gas NN 39713 7496 21 is be VBZ 39713 7496 22 enclosed enclose VBN 39713 7496 23 , , , 39713 7496 24 so so IN 39713 7496 25 that that IN 39713 7496 26 a a DT 39713 7496 27 molecule molecule NN 39713 7496 28 has have VBZ 39713 7496 29 a a DT 39713 7496 30 chance chance NN 39713 7496 31 to to TO 39713 7496 32 go go VB 39713 7496 33 across across IN 39713 7496 34 the the DT 39713 7496 35 whole whole JJ 39713 7496 36 receptacle receptacle NN 39713 7496 37 without without IN 39713 7496 38 undergoing undergo VBG 39713 7496 39 an an DT 39713 7496 40 impact impact NN 39713 7496 41 ; ; : 39713 7496 42 if if IN 39713 7496 43 the the DT 39713 7496 44 contrary contrary NN 39713 7496 45 be be VB 39713 7496 46 the the DT 39713 7496 47 case case NN 39713 7496 48 , , , 39713 7496 49 it -PRON- PRP 39713 7496 50 is be VBZ 39713 7496 51 gaseous gaseous JJ 39713 7496 52 . . . 39713 7497 1 From from IN 39713 7497 2 this this DT 39713 7497 3 it -PRON- PRP 39713 7497 4 follows follow VBZ 39713 7497 5 that that IN 39713 7497 6 the the DT 39713 7497 7 same same JJ 39713 7497 8 fluid fluid NN 39713 7497 9 may may MD 39713 7497 10 be be VB 39713 7497 11 radiant radiant JJ 39713 7497 12 in in IN 39713 7497 13 a a DT 39713 7497 14 little little JJ 39713 7497 15 receptacle receptacle NN 39713 7497 16 and and CC 39713 7497 17 gaseous gaseous JJ 39713 7497 18 in in IN 39713 7497 19 a a DT 39713 7497 20 big big JJ 39713 7497 21 one one NN 39713 7497 22 ; ; : 39713 7497 23 this this DT 39713 7497 24 perhaps perhaps RB 39713 7497 25 is be VBZ 39713 7497 26 why why WRB 39713 7497 27 , , , 39713 7497 28 in in IN 39713 7497 29 a a DT 39713 7497 30 Crookes Crookes NNP 39713 7497 31 tube tube NN 39713 7497 32 , , , 39713 7497 33 it -PRON- PRP 39713 7497 34 is be VBZ 39713 7497 35 necessary necessary JJ 39713 7497 36 to to TO 39713 7497 37 make make VB 39713 7497 38 the the DT 39713 7497 39 vacuum vacuum NN 39713 7497 40 by by IN 39713 7497 41 so so RB 39713 7497 42 much much RB 39713 7497 43 the the DT 39713 7497 44 more more RBR 39713 7497 45 complete complete JJ 39713 7497 46 as as IN 39713 7497 47 the the DT 39713 7497 48 tube tube NN 39713 7497 49 is be VBZ 39713 7497 50 larger large JJR 39713 7497 51 . . . 39713 7498 1 How how WRB 39713 7498 2 is be VBZ 39713 7498 3 it -PRON- PRP 39713 7498 4 then then RB 39713 7498 5 for for IN 39713 7498 6 the the DT 39713 7498 7 milky milky JJ 39713 7498 8 way way NN 39713 7498 9 ? ? . 39713 7499 1 This this DT 39713 7499 2 is be VBZ 39713 7499 3 a a DT 39713 7499 4 mass mass NN 39713 7499 5 of of IN 39713 7499 6 gas gas NN 39713 7499 7 of of IN 39713 7499 8 which which WDT 39713 7499 9 the the DT 39713 7499 10 density density NN 39713 7499 11 is be VBZ 39713 7499 12 very very RB 39713 7499 13 slight slight JJ 39713 7499 14 , , , 39713 7499 15 but but CC 39713 7499 16 whose whose WP$ 39713 7499 17 dimensions dimension NNS 39713 7499 18 are be VBP 39713 7499 19 very very RB 39713 7499 20 great great JJ 39713 7499 21 ; ; : 39713 7499 22 has have VBZ 39713 7499 23 a a DT 39713 7499 24 star star NN 39713 7499 25 chances chance NNS 39713 7499 26 of of IN 39713 7499 27 traversing traverse VBG 39713 7499 28 it -PRON- PRP 39713 7499 29 without without IN 39713 7499 30 undergoing undergo VBG 39713 7499 31 an an DT 39713 7499 32 impact impact NN 39713 7499 33 , , , 39713 7499 34 that that DT 39713 7499 35 is be VBZ 39713 7499 36 to to TO 39713 7499 37 say say VB 39713 7499 38 without without IN 39713 7499 39 passing pass VBG 39713 7499 40 sufficiently sufficiently RB 39713 7499 41 near near IN 39713 7499 42 another another DT 39713 7499 43 star star NN 39713 7499 44 to to TO 39713 7499 45 be be VB 39713 7499 46 sensibly sensibly RB 39713 7499 47 deviated deviate VBN 39713 7499 48 from from IN 39713 7499 49 its -PRON- PRP$ 39713 7499 50 route route NN 39713 7499 51 ! ! . 39713 7500 1 What what WP 39713 7500 2 do do VBP 39713 7500 3 we -PRON- PRP 39713 7500 4 mean mean VB 39713 7500 5 by by IN 39713 7500 6 _ _ NNP 39713 7500 7 sufficiently sufficiently RB 39713 7500 8 near near IN 39713 7500 9 _ _ NNP 39713 7500 10 ? ? . 39713 7501 1 That that DT 39713 7501 2 is be VBZ 39713 7501 3 perforce perforce VB 39713 7501 4 a a DT 39713 7501 5 little little JJ 39713 7501 6 arbitrary arbitrary JJ 39713 7501 7 ; ; : 39713 7501 8 take take VB 39713 7501 9 it -PRON- PRP 39713 7501 10 as as IN 39713 7501 11 the the DT 39713 7501 12 distance distance NN 39713 7501 13 from from IN 39713 7501 14 the the DT 39713 7501 15 sun sun NN 39713 7501 16 to to IN 39713 7501 17 Neptune Neptune NNP 39713 7501 18 , , , 39713 7501 19 which which WDT 39713 7501 20 would would MD 39713 7501 21 represent represent VB 39713 7501 22 a a DT 39713 7501 23 deviation deviation NN 39713 7501 24 of of IN 39713 7501 25 a a DT 39713 7501 26 dozen dozen NN 39713 7501 27 degrees degree NNS 39713 7501 28 ; ; : 39713 7501 29 suppose suppose VB 39713 7501 30 therefore therefore RB 39713 7501 31 each each DT 39713 7501 32 of of IN 39713 7501 33 our -PRON- PRP$ 39713 7501 34 stars star NNS 39713 7501 35 surrounded surround VBN 39713 7501 36 by by IN 39713 7501 37 a a DT 39713 7501 38 protective protective JJ 39713 7501 39 sphere sphere NN 39713 7501 40 of of IN 39713 7501 41 this this DT 39713 7501 42 radius radius NN 39713 7501 43 ; ; : 39713 7501 44 could could MD 39713 7501 45 a a DT 39713 7501 46 straight straight JJ 39713 7501 47 pass pass NN 39713 7501 48 between between IN 39713 7501 49 these these DT 39713 7501 50 spheres sphere NNS 39713 7501 51 ? ? . 39713 7502 1 At at IN 39713 7502 2 the the DT 39713 7502 3 mean mean JJ 39713 7502 4 distance distance NN 39713 7502 5 of of IN 39713 7502 6 the the DT 39713 7502 7 stars star NNS 39713 7502 8 of of IN 39713 7502 9 the the DT 39713 7502 10 milky milky NNP 39713 7502 11 way way NN 39713 7502 12 , , , 39713 7502 13 the the DT 39713 7502 14 radius radius NN 39713 7502 15 of of IN 39713 7502 16 these these DT 39713 7502 17 spheres sphere NNS 39713 7502 18 will will MD 39713 7502 19 be be VB 39713 7502 20 seen see VBN 39713 7502 21 under under IN 39713 7502 22 an an DT 39713 7502 23 angle angle NN 39713 7502 24 of of IN 39713 7502 25 about about RB 39713 7502 26 a a DT 39713 7502 27 tenth tenth NN 39713 7502 28 of of IN 39713 7502 29 a a DT 39713 7502 30 second second JJ 39713 7502 31 ; ; : 39713 7502 32 and and CC 39713 7502 33 we -PRON- PRP 39713 7502 34 have have VBP 39713 7502 35 a a DT 39713 7502 36 thousand thousand CD 39713 7502 37 millions million NNS 39713 7502 38 of of IN 39713 7502 39 stars star NNS 39713 7502 40 . . . 39713 7503 1 Put put VB 39713 7503 2 upon upon IN 39713 7503 3 the the DT 39713 7503 4 celestial celestial NN 39713 7503 5 sphere sphere NN 39713 7503 6 a a DT 39713 7503 7 thousand thousand CD 39713 7503 8 million million CD 39713 7503 9 little little JJ 39713 7503 10 circles circle NNS 39713 7503 11 of of IN 39713 7503 12 a a DT 39713 7503 13 tenth tenth NN 39713 7503 14 of of IN 39713 7503 15 a a DT 39713 7503 16 second second JJ 39713 7503 17 radius radius NN 39713 7503 18 . . . 39713 7504 1 Are be VBP 39713 7504 2 the the DT 39713 7504 3 chances chance NNS 39713 7504 4 that that IN 39713 7504 5 these these DT 39713 7504 6 circles circle NNS 39713 7504 7 will will MD 39713 7504 8 cover cover VB 39713 7504 9 a a DT 39713 7504 10 great great JJ 39713 7504 11 number number NN 39713 7504 12 of of IN 39713 7504 13 times time NNS 39713 7504 14 the the DT 39713 7504 15 celestial celestial JJ 39713 7504 16 sphere sphere NN 39713 7504 17 ? ? . 39713 7505 1 Far far RB 39713 7505 2 from from IN 39713 7505 3 it -PRON- PRP 39713 7505 4 ; ; : 39713 7505 5 they -PRON- PRP 39713 7505 6 will will MD 39713 7505 7 cover cover VB 39713 7505 8 only only RB 39713 7505 9 its -PRON- PRP$ 39713 7505 10 sixteen sixteen CD 39713 7505 11 thousandth thousandth NN 39713 7505 12 part part NN 39713 7505 13 . . . 39713 7506 1 So so RB 39713 7506 2 the the DT 39713 7506 3 milky milky JJ 39713 7506 4 way way NN 39713 7506 5 is be VBZ 39713 7506 6 not not RB 39713 7506 7 the the DT 39713 7506 8 image image NN 39713 7506 9 of of IN 39713 7506 10 gaseous gaseous JJ 39713 7506 11 matter matter NN 39713 7506 12 , , , 39713 7506 13 but but CC 39713 7506 14 of of IN 39713 7506 15 Crookes crooke NNS 39713 7506 16 ' ' POS 39713 7506 17 radiant radiant JJ 39713 7506 18 matter matter NN 39713 7506 19 . . . 39713 7507 1 Nevertheless nevertheless RB 39713 7507 2 , , , 39713 7507 3 as as IN 39713 7507 4 our -PRON- PRP$ 39713 7507 5 foregoing foregoing JJ 39713 7507 6 conclusions conclusion NNS 39713 7507 7 are be VBP 39713 7507 8 happily happily RB 39713 7507 9 not not RB 39713 7507 10 at at RB 39713 7507 11 all all RB 39713 7507 12 precise precise JJ 39713 7507 13 , , , 39713 7507 14 we -PRON- PRP 39713 7507 15 need need VBP 39713 7507 16 not not RB 39713 7507 17 sensibly sensibly RB 39713 7507 18 modify modify VB 39713 7507 19 them -PRON- PRP 39713 7507 20 . . . 39713 7508 1 But but CC 39713 7508 2 there there EX 39713 7508 3 is be VBZ 39713 7508 4 another another DT 39713 7508 5 difficulty difficulty NN 39713 7508 6 : : : 39713 7508 7 the the DT 39713 7508 8 milky milky NNP 39713 7508 9 way way NN 39713 7508 10 is be VBZ 39713 7508 11 not not RB 39713 7508 12 spherical spherical JJ 39713 7508 13 , , , 39713 7508 14 and and CC 39713 7508 15 we -PRON- PRP 39713 7508 16 have have VBP 39713 7508 17 reasoned reason VBN 39713 7508 18 hitherto hitherto VBN 39713 7508 19 as as IN 39713 7508 20 if if IN 39713 7508 21 it -PRON- PRP 39713 7508 22 were be VBD 39713 7508 23 , , , 39713 7508 24 since since IN 39713 7508 25 this this DT 39713 7508 26 is be VBZ 39713 7508 27 the the DT 39713 7508 28 form form NN 39713 7508 29 of of IN 39713 7508 30 equilibrium equilibrium NN 39713 7508 31 a a DT 39713 7508 32 gas gas NN 39713 7508 33 isolated isolate VBN 39713 7508 34 in in IN 39713 7508 35 space space NN 39713 7508 36 would would MD 39713 7508 37 take take VB 39713 7508 38 . . . 39713 7509 1 To to TO 39713 7509 2 make make VB 39713 7509 3 amends amend NNS 39713 7509 4 , , , 39713 7509 5 agglomerations agglomeration NNS 39713 7509 6 of of IN 39713 7509 7 stars star NNS 39713 7509 8 exist exist VBP 39713 7509 9 whose whose WP$ 39713 7509 10 form form NN 39713 7509 11 is be VBZ 39713 7509 12 globular globular JJ 39713 7509 13 and and CC 39713 7509 14 to to TO 39713 7509 15 which which WDT 39713 7509 16 would would MD 39713 7509 17 better better RB 39713 7509 18 apply apply VB 39713 7509 19 what what WP 39713 7509 20 we -PRON- PRP 39713 7509 21 have have VBP 39713 7509 22 hitherto hitherto VBN 39713 7509 23 said say VBD 39713 7509 24 . . . 39713 7510 1 Herschel Herschel NNP 39713 7510 2 has have VBZ 39713 7510 3 already already RB 39713 7510 4 endeavored endeavor VBN 39713 7510 5 to to TO 39713 7510 6 explain explain VB 39713 7510 7 their -PRON- PRP$ 39713 7510 8 remarkable remarkable JJ 39713 7510 9 appearances appearance NNS 39713 7510 10 . . . 39713 7511 1 He -PRON- PRP 39713 7511 2 supposed suppose VBD 39713 7511 3 the the DT 39713 7511 4 stars star NNS 39713 7511 5 of of IN 39713 7511 6 the the DT 39713 7511 7 aggregates aggregate NNS 39713 7511 8 uniformly uniformly RB 39713 7511 9 distributed distribute VBN 39713 7511 10 , , , 39713 7511 11 so so IN 39713 7511 12 that that IN 39713 7511 13 an an DT 39713 7511 14 assemblage assemblage NN 39713 7511 15 is be VBZ 39713 7511 16 a a DT 39713 7511 17 homogeneous homogeneous JJ 39713 7511 18 sphere sphere NN 39713 7511 19 ; ; : 39713 7511 20 each each DT 39713 7511 21 star star NN 39713 7511 22 would would MD 39713 7511 23 then then RB 39713 7511 24 describe describe VB 39713 7511 25 an an DT 39713 7511 26 ellipse ellipse NN 39713 7511 27 and and CC 39713 7511 28 all all PDT 39713 7511 29 these these DT 39713 7511 30 orbits orbit NNS 39713 7511 31 would would MD 39713 7511 32 be be VB 39713 7511 33 passed pass VBN 39713 7511 34 over over RP 39713 7511 35 in in IN 39713 7511 36 the the DT 39713 7511 37 same same JJ 39713 7511 38 time time NN 39713 7511 39 , , , 39713 7511 40 so so IN 39713 7511 41 that that IN 39713 7511 42 at at IN 39713 7511 43 the the DT 39713 7511 44 end end NN 39713 7511 45 of of IN 39713 7511 46 a a DT 39713 7511 47 period period NN 39713 7511 48 the the DT 39713 7511 49 aggregate aggregate NN 39713 7511 50 would would MD 39713 7511 51 take take VB 39713 7511 52 again again RB 39713 7511 53 its -PRON- PRP$ 39713 7511 54 primitive primitive JJ 39713 7511 55 configuration configuration NN 39713 7511 56 and and CC 39713 7511 57 this this DT 39713 7511 58 configuration configuration NN 39713 7511 59 would would MD 39713 7511 60 be be VB 39713 7511 61 stable stable JJ 39713 7511 62 . . . 39713 7512 1 Unluckily unluckily JJ 39713 7512 2 , , , 39713 7512 3 the the DT 39713 7512 4 aggregates aggregate NNS 39713 7512 5 do do VBP 39713 7512 6 not not RB 39713 7512 7 appear appear VB 39713 7512 8 to to TO 39713 7512 9 be be VB 39713 7512 10 homogeneous homogeneous JJ 39713 7512 11 ; ; : 39713 7512 12 we -PRON- PRP 39713 7512 13 see see VBP 39713 7512 14 a a DT 39713 7512 15 condensation condensation NN 39713 7512 16 at at IN 39713 7512 17 the the DT 39713 7512 18 center center NN 39713 7512 19 , , , 39713 7512 20 we -PRON- PRP 39713 7512 21 should should MD 39713 7512 22 observe observe VB 39713 7512 23 it -PRON- PRP 39713 7512 24 even even RB 39713 7512 25 were be VBD 39713 7512 26 the the DT 39713 7512 27 sphere sphere RB 39713 7512 28 homogeneous homogeneous JJ 39713 7512 29 , , , 39713 7512 30 since since IN 39713 7512 31 it -PRON- PRP 39713 7512 32 is be VBZ 39713 7512 33 thicker thick JJR 39713 7512 34 at at IN 39713 7512 35 the the DT 39713 7512 36 center center NN 39713 7512 37 ; ; : 39713 7512 38 but but CC 39713 7512 39 it -PRON- PRP 39713 7512 40 would would MD 39713 7512 41 not not RB 39713 7512 42 be be VB 39713 7512 43 so so RB 39713 7512 44 accentuated accentuated JJ 39713 7512 45 . . . 39713 7513 1 We -PRON- PRP 39713 7513 2 may may MD 39713 7513 3 therefore therefore RB 39713 7513 4 rather rather RB 39713 7513 5 compare compare VB 39713 7513 6 an an DT 39713 7513 7 aggregate aggregate NN 39713 7513 8 to to IN 39713 7513 9 a a DT 39713 7513 10 gas gas NN 39713 7513 11 in in IN 39713 7513 12 adiabatic adiabatic JJ 39713 7513 13 equilibrium equilibrium NN 39713 7513 14 , , , 39713 7513 15 which which WDT 39713 7513 16 takes take VBZ 39713 7513 17 the the DT 39713 7513 18 spherical spherical JJ 39713 7513 19 form form NN 39713 7513 20 because because IN 39713 7513 21 this this DT 39713 7513 22 is be VBZ 39713 7513 23 the the DT 39713 7513 24 figure figure NN 39713 7513 25 of of IN 39713 7513 26 equilibrium equilibrium NN 39713 7513 27 of of IN 39713 7513 28 a a DT 39713 7513 29 gaseous gaseous JJ 39713 7513 30 mass mass NN 39713 7513 31 . . . 39713 7514 1 But but CC 39713 7514 2 , , , 39713 7514 3 you -PRON- PRP 39713 7514 4 will will MD 39713 7514 5 say say VB 39713 7514 6 , , , 39713 7514 7 these these DT 39713 7514 8 aggregates aggregate NNS 39713 7514 9 are be VBP 39713 7514 10 much much RB 39713 7514 11 smaller small JJR 39713 7514 12 than than IN 39713 7514 13 the the DT 39713 7514 14 milky milky JJ 39713 7514 15 way way NN 39713 7514 16 , , , 39713 7514 17 of of IN 39713 7514 18 which which WDT 39713 7514 19 they -PRON- PRP 39713 7514 20 even even RB 39713 7514 21 in in IN 39713 7514 22 probability probability NN 39713 7514 23 make make VBP 39713 7514 24 part part NN 39713 7514 25 , , , 39713 7514 26 and and CC 39713 7514 27 even even RB 39713 7514 28 though though IN 39713 7514 29 they -PRON- PRP 39713 7514 30 be be VBP 39713 7514 31 more more RBR 39713 7514 32 dense dense JJ 39713 7514 33 , , , 39713 7514 34 they -PRON- PRP 39713 7514 35 will will MD 39713 7514 36 rather rather RB 39713 7514 37 present present VB 39713 7514 38 something something NN 39713 7514 39 analogous analogous JJ 39713 7514 40 to to TO 39713 7514 41 radiant radiant VB 39713 7514 42 matter matter NN 39713 7514 43 ; ; : 39713 7514 44 now now RB 39713 7514 45 , , , 39713 7514 46 gases gas NNS 39713 7514 47 attain attain VBP 39713 7514 48 their -PRON- PRP$ 39713 7514 49 adiabatic adiabatic JJ 39713 7514 50 equilibrium equilibrium NN 39713 7514 51 only only RB 39713 7514 52 through through IN 39713 7514 53 innumerable innumerable JJ 39713 7514 54 impacts impact NNS 39713 7514 55 of of IN 39713 7514 56 the the DT 39713 7514 57 molecules molecule NNS 39713 7514 58 . . . 39713 7515 1 That that DT 39713 7515 2 might may MD 39713 7515 3 perhaps perhaps RB 39713 7515 4 be be VB 39713 7515 5 adjusted adjust VBN 39713 7515 6 . . . 39713 7516 1 Suppose suppose VB 39713 7516 2 the the DT 39713 7516 3 stars star NNS 39713 7516 4 of of IN 39713 7516 5 the the DT 39713 7516 6 aggregate aggregate NN 39713 7516 7 have have VBP 39713 7516 8 just just RB 39713 7516 9 enough enough JJ 39713 7516 10 energy energy NN 39713 7516 11 for for IN 39713 7516 12 their -PRON- PRP$ 39713 7516 13 velocity velocity NN 39713 7516 14 to to TO 39713 7516 15 become become VB 39713 7516 16 null null JJ 39713 7516 17 when when WRB 39713 7516 18 they -PRON- PRP 39713 7516 19 reach reach VBP 39713 7516 20 the the DT 39713 7516 21 surface surface NN 39713 7516 22 ; ; : 39713 7516 23 then then RB 39713 7516 24 they -PRON- PRP 39713 7516 25 may may MD 39713 7516 26 traverse traverse VB 39713 7516 27 the the DT 39713 7516 28 aggregate aggregate NN 39713 7516 29 without without IN 39713 7516 30 impact impact NN 39713 7516 31 , , , 39713 7516 32 but but CC 39713 7516 33 arrived arrive VBD 39713 7516 34 at at IN 39713 7516 35 the the DT 39713 7516 36 surface surface NN 39713 7516 37 they -PRON- PRP 39713 7516 38 will will MD 39713 7516 39 go go VB 39713 7516 40 back back RB 39713 7516 41 and and CC 39713 7516 42 will will MD 39713 7516 43 traverse traverse VB 39713 7516 44 it -PRON- PRP 39713 7516 45 anew anew RB 39713 7516 46 ; ; : 39713 7516 47 after after IN 39713 7516 48 a a DT 39713 7516 49 great great JJ 39713 7516 50 number number NN 39713 7516 51 of of IN 39713 7516 52 crossings crossing NNS 39713 7516 53 , , , 39713 7516 54 they -PRON- PRP 39713 7516 55 will will MD 39713 7516 56 at at IN 39713 7516 57 last last RB 39713 7516 58 be be VB 39713 7516 59 deviated deviate VBN 39713 7516 60 by by IN 39713 7516 61 an an DT 39713 7516 62 impact impact NN 39713 7516 63 ; ; : 39713 7516 64 under under IN 39713 7516 65 these these DT 39713 7516 66 conditions condition NNS 39713 7516 67 , , , 39713 7516 68 we -PRON- PRP 39713 7516 69 should should MD 39713 7516 70 still still RB 39713 7516 71 have have VB 39713 7516 72 a a DT 39713 7516 73 matter matter NN 39713 7516 74 which which WDT 39713 7516 75 might may MD 39713 7516 76 be be VB 39713 7516 77 regarded regard VBN 39713 7516 78 as as IN 39713 7516 79 gaseous gaseous JJ 39713 7516 80 ; ; : 39713 7516 81 if if IN 39713 7516 82 perchance perchance NN 39713 7516 83 there there RB 39713 7516 84 had have VBD 39713 7516 85 been be VBN 39713 7516 86 in in IN 39713 7516 87 the the DT 39713 7516 88 aggregate aggregate JJ 39713 7516 89 stars star NNS 39713 7516 90 whose whose WP$ 39713 7516 91 velocity velocity NN 39713 7516 92 was be VBD 39713 7516 93 greater great JJR 39713 7516 94 , , , 39713 7516 95 they -PRON- PRP 39713 7516 96 have have VBP 39713 7516 97 long long RB 39713 7516 98 gone go VBN 39713 7516 99 away away RB 39713 7516 100 out out IN 39713 7516 101 of of IN 39713 7516 102 it -PRON- PRP 39713 7516 103 , , , 39713 7516 104 they -PRON- PRP 39713 7516 105 have have VBP 39713 7516 106 left leave VBN 39713 7516 107 it -PRON- PRP 39713 7516 108 never never RB 39713 7516 109 to to TO 39713 7516 110 return return VB 39713 7516 111 . . . 39713 7517 1 For for IN 39713 7517 2 all all PDT 39713 7517 3 these these DT 39713 7517 4 reasons reason NNS 39713 7517 5 , , , 39713 7517 6 it -PRON- PRP 39713 7517 7 would would MD 39713 7517 8 be be VB 39713 7517 9 interesting interesting JJ 39713 7517 10 to to TO 39713 7517 11 examine examine VB 39713 7517 12 the the DT 39713 7517 13 known know VBN 39713 7517 14 aggregates aggregate NNS 39713 7517 15 , , , 39713 7517 16 to to TO 39713 7517 17 seek seek VB 39713 7517 18 to to TO 39713 7517 19 account account VB 39713 7517 20 for for IN 39713 7517 21 the the DT 39713 7517 22 law law NN 39713 7517 23 of of IN 39713 7517 24 the the DT 39713 7517 25 densities density NNS 39713 7517 26 , , , 39713 7517 27 and and CC 39713 7517 28 to to TO 39713 7517 29 see see VB 39713 7517 30 if if IN 39713 7517 31 it -PRON- PRP 39713 7517 32 is be VBZ 39713 7517 33 the the DT 39713 7517 34 adiabatic adiabatic JJ 39713 7517 35 law law NN 39713 7517 36 of of IN 39713 7517 37 gases gas NNS 39713 7517 38 . . . 39713 7518 1 But but CC 39713 7518 2 to to TO 39713 7518 3 return return VB 39713 7518 4 to to IN 39713 7518 5 the the DT 39713 7518 6 milky milky JJ 39713 7518 7 way way NN 39713 7518 8 ; ; : 39713 7518 9 it -PRON- PRP 39713 7518 10 is be VBZ 39713 7518 11 not not RB 39713 7518 12 spherical spherical JJ 39713 7518 13 and and CC 39713 7518 14 would would MD 39713 7518 15 rather rather RB 39713 7518 16 be be VB 39713 7518 17 represented represent VBN 39713 7518 18 as as IN 39713 7518 19 a a DT 39713 7518 20 flattened flattened JJ 39713 7518 21 disc disc NN 39713 7518 22 . . . 39713 7519 1 It -PRON- PRP 39713 7519 2 is be VBZ 39713 7519 3 clear clear JJ 39713 7519 4 then then RB 39713 7519 5 that that IN 39713 7519 6 a a DT 39713 7519 7 mass mass NN 39713 7519 8 starting start VBG 39713 7519 9 without without IN 39713 7519 10 velocity velocity NN 39713 7519 11 from from IN 39713 7519 12 the the DT 39713 7519 13 surface surface NN 39713 7519 14 will will MD 39713 7519 15 reach reach VB 39713 7519 16 the the DT 39713 7519 17 center center NN 39713 7519 18 with with IN 39713 7519 19 different different JJ 39713 7519 20 velocities velocity NNS 39713 7519 21 , , , 39713 7519 22 according accord VBG 39713 7519 23 as as IN 39713 7519 24 it -PRON- PRP 39713 7519 25 starts start VBZ 39713 7519 26 from from IN 39713 7519 27 the the DT 39713 7519 28 surface surface NN 39713 7519 29 in in IN 39713 7519 30 the the DT 39713 7519 31 neighborhood neighborhood NN 39713 7519 32 of of IN 39713 7519 33 the the DT 39713 7519 34 middle middle NN 39713 7519 35 of of IN 39713 7519 36 the the DT 39713 7519 37 disc disc NN 39713 7519 38 or or CC 39713 7519 39 just just RB 39713 7519 40 on on IN 39713 7519 41 the the DT 39713 7519 42 border border NN 39713 7519 43 of of IN 39713 7519 44 the the DT 39713 7519 45 disc disc NN 39713 7519 46 ; ; : 39713 7519 47 the the DT 39713 7519 48 velocity velocity NN 39713 7519 49 would would MD 39713 7519 50 be be VB 39713 7519 51 notably notably RB 39713 7519 52 greater great JJR 39713 7519 53 in in IN 39713 7519 54 the the DT 39713 7519 55 latter latter JJ 39713 7519 56 case case NN 39713 7519 57 . . . 39713 7520 1 Now now RB 39713 7520 2 , , , 39713 7520 3 up up IN 39713 7520 4 to to IN 39713 7520 5 the the DT 39713 7520 6 present present NN 39713 7520 7 , , , 39713 7520 8 we -PRON- PRP 39713 7520 9 have have VBP 39713 7520 10 supposed suppose VBN 39713 7520 11 that that IN 39713 7520 12 the the DT 39713 7520 13 proper proper JJ 39713 7520 14 velocities velocity NNS 39713 7520 15 of of IN 39713 7520 16 the the DT 39713 7520 17 stars star NNS 39713 7520 18 , , , 39713 7520 19 those those DT 39713 7520 20 we -PRON- PRP 39713 7520 21 observe observe VBP 39713 7520 22 , , , 39713 7520 23 must must MD 39713 7520 24 be be VB 39713 7520 25 comparable comparable JJ 39713 7520 26 to to IN 39713 7520 27 those those DT 39713 7520 28 which which WDT 39713 7520 29 like like VBP 39713 7520 30 masses masse NNS 39713 7520 31 would would MD 39713 7520 32 attain attain VB 39713 7520 33 ; ; : 39713 7520 34 this this DT 39713 7520 35 involves involve VBZ 39713 7520 36 a a DT 39713 7520 37 certain certain JJ 39713 7520 38 difficulty difficulty NN 39713 7520 39 . . . 39713 7521 1 We -PRON- PRP 39713 7521 2 have have VBP 39713 7521 3 given give VBN 39713 7521 4 above above IN 39713 7521 5 a a DT 39713 7521 6 value value NN 39713 7521 7 for for IN 39713 7521 8 the the DT 39713 7521 9 dimensions dimension NNS 39713 7521 10 of of IN 39713 7521 11 the the DT 39713 7521 12 milky milky JJ 39713 7521 13 way way NN 39713 7521 14 , , , 39713 7521 15 and and CC 39713 7521 16 we -PRON- PRP 39713 7521 17 have have VBP 39713 7521 18 deduced deduce VBN 39713 7521 19 it -PRON- PRP 39713 7521 20 from from IN 39713 7521 21 the the DT 39713 7521 22 observed observed JJ 39713 7521 23 proper proper JJ 39713 7521 24 velocities velocity NNS 39713 7521 25 which which WDT 39713 7521 26 are be VBP 39713 7521 27 of of IN 39713 7521 28 the the DT 39713 7521 29 same same JJ 39713 7521 30 order order NN 39713 7521 31 of of IN 39713 7521 32 magnitude magnitude NN 39713 7521 33 as as IN 39713 7521 34 that that DT 39713 7521 35 of of IN 39713 7521 36 the the DT 39713 7521 37 earth earth NN 39713 7521 38 in in IN 39713 7521 39 its -PRON- PRP$ 39713 7521 40 orbit orbit NN 39713 7521 41 ; ; : 39713 7521 42 but but CC 39713 7521 43 which which WDT 39713 7521 44 is be VBZ 39713 7521 45 the the DT 39713 7521 46 dimension dimension NN 39713 7521 47 we -PRON- PRP 39713 7521 48 have have VBP 39713 7521 49 thus thus RB 39713 7521 50 measured measure VBN 39713 7521 51 ? ? . 39713 7522 1 Is be VBZ 39713 7522 2 it -PRON- PRP 39713 7522 3 the the DT 39713 7522 4 thickness thickness NN 39713 7522 5 ? ? . 39713 7523 1 Is be VBZ 39713 7523 2 it -PRON- PRP 39713 7523 3 the the DT 39713 7523 4 radius radius NN 39713 7523 5 of of IN 39713 7523 6 the the DT 39713 7523 7 disc disc NN 39713 7523 8 ? ? . 39713 7524 1 It -PRON- PRP 39713 7524 2 is be VBZ 39713 7524 3 doubtless doubtless RB 39713 7524 4 something something NN 39713 7524 5 intermediate intermediate JJ 39713 7524 6 ; ; : 39713 7524 7 but but CC 39713 7524 8 what what WP 39713 7524 9 can can MD 39713 7524 10 we -PRON- PRP 39713 7524 11 say say VB 39713 7524 12 then then RB 39713 7524 13 of of IN 39713 7524 14 the the DT 39713 7524 15 thickness thickness NN 39713 7524 16 itself -PRON- PRP 39713 7524 17 , , , 39713 7524 18 or or CC 39713 7524 19 of of IN 39713 7524 20 the the DT 39713 7524 21 radius radius NN 39713 7524 22 of of IN 39713 7524 23 the the DT 39713 7524 24 disc disc NN 39713 7524 25 ? ? . 39713 7525 1 Data datum NNS 39713 7525 2 are be VBP 39713 7525 3 lacking lack VBG 39713 7525 4 to to TO 39713 7525 5 make make VB 39713 7525 6 the the DT 39713 7525 7 calculation calculation NN 39713 7525 8 ; ; : 39713 7525 9 I -PRON- PRP 39713 7525 10 shall shall MD 39713 7525 11 confine confine VB 39713 7525 12 myself -PRON- PRP 39713 7525 13 to to IN 39713 7525 14 giving give VBG 39713 7525 15 a a DT 39713 7525 16 glimpse glimpse NN 39713 7525 17 of of IN 39713 7525 18 the the DT 39713 7525 19 possibility possibility NN 39713 7525 20 of of IN 39713 7525 21 basing base VBG 39713 7525 22 an an DT 39713 7525 23 evaluation evaluation NN 39713 7525 24 at at IN 39713 7525 25 least least JJS 39713 7525 26 approximate approximate JJ 39713 7525 27 upon upon IN 39713 7525 28 a a DT 39713 7525 29 deeper deep JJR 39713 7525 30 discussion discussion NN 39713 7525 31 of of IN 39713 7525 32 the the DT 39713 7525 33 proper proper JJ 39713 7525 34 motions motion NNS 39713 7525 35 . . . 39713 7526 1 And and CC 39713 7526 2 then then RB 39713 7526 3 we -PRON- PRP 39713 7526 4 find find VBP 39713 7526 5 ourselves -PRON- PRP 39713 7526 6 facing face VBG 39713 7526 7 two two CD 39713 7526 8 hypotheses hypothesis NNS 39713 7526 9 : : : 39713 7526 10 either either CC 39713 7526 11 the the DT 39713 7526 12 stars star NNS 39713 7526 13 of of IN 39713 7526 14 the the DT 39713 7526 15 milky milky JJ 39713 7526 16 way way NN 39713 7526 17 are be VBP 39713 7526 18 impelled impel VBN 39713 7526 19 by by IN 39713 7526 20 velocities velocity NNS 39713 7526 21 for for IN 39713 7526 22 the the DT 39713 7526 23 most most JJS 39713 7526 24 part part NN 39713 7526 25 parallel parallel JJ 39713 7526 26 to to IN 39713 7526 27 the the DT 39713 7526 28 galactic galactic JJ 39713 7526 29 plane plane NN 39713 7526 30 , , , 39713 7526 31 but but CC 39713 7526 32 otherwise otherwise RB 39713 7526 33 distributed distribute VBN 39713 7526 34 uniformly uniformly RB 39713 7526 35 in in IN 39713 7526 36 all all DT 39713 7526 37 directions direction NNS 39713 7526 38 parallel parallel RB 39713 7526 39 to to IN 39713 7526 40 this this DT 39713 7526 41 plane plane NN 39713 7526 42 . . . 39713 7527 1 If if IN 39713 7527 2 this this DT 39713 7527 3 be be VB 39713 7527 4 so so RB 39713 7527 5 , , , 39713 7527 6 observation observation NN 39713 7527 7 of of IN 39713 7527 8 the the DT 39713 7527 9 proper proper JJ 39713 7527 10 motions motion NNS 39713 7527 11 should should MD 39713 7527 12 show show VB 39713 7527 13 a a DT 39713 7527 14 preponderance preponderance NN 39713 7527 15 of of IN 39713 7527 16 components component NNS 39713 7527 17 parallel parallel JJ 39713 7527 18 to to IN 39713 7527 19 the the DT 39713 7527 20 milky milky JJ 39713 7527 21 way way NN 39713 7527 22 ; ; : 39713 7527 23 this this DT 39713 7527 24 is be VBZ 39713 7527 25 to to TO 39713 7527 26 be be VB 39713 7527 27 determined determine VBN 39713 7527 28 , , , 39713 7527 29 because because IN 39713 7527 30 I -PRON- PRP 39713 7527 31 do do VBP 39713 7527 32 not not RB 39713 7527 33 know know VB 39713 7527 34 whether whether IN 39713 7527 35 a a DT 39713 7527 36 systematic systematic JJ 39713 7527 37 discussion discussion NN 39713 7527 38 has have VBZ 39713 7527 39 ever ever RB 39713 7527 40 been be VBN 39713 7527 41 made make VBN 39713 7527 42 from from IN 39713 7527 43 this this DT 39713 7527 44 view view NN 39713 7527 45 - - HYPH 39713 7527 46 point point NN 39713 7527 47 . . . 39713 7528 1 On on IN 39713 7528 2 the the DT 39713 7528 3 other other JJ 39713 7528 4 hand hand NN 39713 7528 5 , , , 39713 7528 6 such such PDT 39713 7528 7 an an DT 39713 7528 8 equilibrium equilibrium NN 39713 7528 9 could could MD 39713 7528 10 only only RB 39713 7528 11 be be VB 39713 7528 12 provisory provisory JJ 39713 7528 13 , , , 39713 7528 14 since since IN 39713 7528 15 because because IN 39713 7528 16 of of IN 39713 7528 17 impacts impact NNS 39713 7528 18 the the DT 39713 7528 19 molecules molecule NNS 39713 7528 20 , , , 39713 7528 21 I -PRON- PRP 39713 7528 22 mean mean VBP 39713 7528 23 the the DT 39713 7528 24 stars star NNS 39713 7528 25 , , , 39713 7528 26 would would MD 39713 7528 27 in in IN 39713 7528 28 the the DT 39713 7528 29 long long JJ 39713 7528 30 run run NN 39713 7528 31 acquire acquire VB 39713 7528 32 notable notable JJ 39713 7528 33 velocities velocity NNS 39713 7528 34 in in IN 39713 7528 35 the the DT 39713 7528 36 sense sense NN 39713 7528 37 perpendicular perpendicular JJ 39713 7528 38 to to IN 39713 7528 39 the the DT 39713 7528 40 milky milky JJ 39713 7528 41 way way NN 39713 7528 42 and and CC 39713 7528 43 would would MD 39713 7528 44 end end VB 39713 7528 45 by by IN 39713 7528 46 swerving swerve VBG 39713 7528 47 from from IN 39713 7528 48 its -PRON- PRP$ 39713 7528 49 plane plane NN 39713 7528 50 , , , 39713 7528 51 so so IN 39713 7528 52 that that IN 39713 7528 53 the the DT 39713 7528 54 system system NN 39713 7528 55 would would MD 39713 7528 56 tend tend VB 39713 7528 57 toward toward IN 39713 7528 58 the the DT 39713 7528 59 spherical spherical JJ 39713 7528 60 form form NN 39713 7528 61 , , , 39713 7528 62 the the DT 39713 7528 63 only only JJ 39713 7528 64 figure figure NN 39713 7528 65 of of IN 39713 7528 66 equilibrium equilibrium NN 39713 7528 67 of of IN 39713 7528 68 an an DT 39713 7528 69 isolated isolated JJ 39713 7528 70 gaseous gaseous JJ 39713 7528 71 mass mass NN 39713 7528 72 . . . 39713 7529 1 Or or CC 39713 7529 2 else else RB 39713 7529 3 the the DT 39713 7529 4 whole whole JJ 39713 7529 5 system system NN 39713 7529 6 is be VBZ 39713 7529 7 impelled impel VBN 39713 7529 8 by by IN 39713 7529 9 a a DT 39713 7529 10 common common JJ 39713 7529 11 rotation rotation NN 39713 7529 12 , , , 39713 7529 13 and and CC 39713 7529 14 for for IN 39713 7529 15 that that DT 39713 7529 16 reason reason NN 39713 7529 17 is be VBZ 39713 7529 18 flattened flatten VBN 39713 7529 19 like like IN 39713 7529 20 the the DT 39713 7529 21 earth earth NN 39713 7529 22 , , , 39713 7529 23 like like IN 39713 7529 24 Jupiter Jupiter NNP 39713 7529 25 , , , 39713 7529 26 like like IN 39713 7529 27 all all DT 39713 7529 28 bodies body NNS 39713 7529 29 that that WDT 39713 7529 30 twirl twirl VBP 39713 7529 31 . . . 39713 7530 1 Only only RB 39713 7530 2 , , , 39713 7530 3 as as IN 39713 7530 4 the the DT 39713 7530 5 flattening flattening NN 39713 7530 6 is be VBZ 39713 7530 7 considerable considerable JJ 39713 7530 8 , , , 39713 7530 9 the the DT 39713 7530 10 rotation rotation NN 39713 7530 11 must must MD 39713 7530 12 be be VB 39713 7530 13 rapid rapid JJ 39713 7530 14 ; ; : 39713 7530 15 rapid rapid JJ 39713 7530 16 doubtless doubtless NN 39713 7530 17 , , , 39713 7530 18 but but CC 39713 7530 19 it -PRON- PRP 39713 7530 20 must must MD 39713 7530 21 be be VB 39713 7530 22 understood understand VBN 39713 7530 23 in in IN 39713 7530 24 what what WP 39713 7530 25 sense sense NN 39713 7530 26 this this DT 39713 7530 27 word word NN 39713 7530 28 is be VBZ 39713 7530 29 used use VBN 39713 7530 30 . . . 39713 7531 1 The the DT 39713 7531 2 density density NN 39713 7531 3 of of IN 39713 7531 4 the the DT 39713 7531 5 milky milky NNP 39713 7531 6 way way NN 39713 7531 7 is be VBZ 39713 7531 8 10^{23 10^{23 LS 39713 7531 9 } } -RRB- 39713 7531 10 times time NNS 39713 7531 11 less less JJR 39713 7531 12 than than IN 39713 7531 13 that that DT 39713 7531 14 of of IN 39713 7531 15 the the DT 39713 7531 16 sun sun NN 39713 7531 17 ; ; : 39713 7531 18 a a DT 39713 7531 19 velocity velocity NN 39713 7531 20 of of IN 39713 7531 21 rotation rotation NN 39713 7531 22 sqrt(10^{25 sqrt(10^{25 NNP 39713 7531 23 } } -RRB- 39713 7531 24 ) ) -RRB- 39713 7531 25 times time NNS 39713 7531 26 less less JJR 39713 7531 27 than than IN 39713 7531 28 that that DT 39713 7531 29 of of IN 39713 7531 30 the the DT 39713 7531 31 sun sun NN 39713 7531 32 , , , 39713 7531 33 for for IN 39713 7531 34 it -PRON- PRP 39713 7531 35 would would MD 39713 7531 36 , , , 39713 7531 37 therefore therefore RB 39713 7531 38 , , , 39713 7531 39 be be VB 39713 7531 40 the the DT 39713 7531 41 equivalent equivalent NN 39713 7531 42 so so RB 39713 7531 43 far far RB 39713 7531 44 as as IN 39713 7531 45 concerns concern NNS 39713 7531 46 flattening flatten VBG 39713 7531 47 ; ; : 39713 7531 48 a a DT 39713 7531 49 velocity velocity NN 39713 7531 50 10^{12 10^{12 CD 39713 7531 51 } } -RRB- 39713 7531 52 times time NNS 39713 7531 53 slower slow JJR 39713 7531 54 than than IN 39713 7531 55 that that DT 39713 7531 56 of of IN 39713 7531 57 the the DT 39713 7531 58 earth earth NN 39713 7531 59 , , , 39713 7531 60 say say VBP 39713 7531 61 a a DT 39713 7531 62 thirtieth thirtieth JJ 39713 7531 63 of of IN 39713 7531 64 a a DT 39713 7531 65 second second NN 39713 7531 66 of of IN 39713 7531 67 arc arc NN 39713 7531 68 in in IN 39713 7531 69 a a DT 39713 7531 70 century century NN 39713 7531 71 , , , 39713 7531 72 would would MD 39713 7531 73 be be VB 39713 7531 74 a a DT 39713 7531 75 very very RB 39713 7531 76 rapid rapid JJ 39713 7531 77 rotation rotation NN 39713 7531 78 , , , 39713 7531 79 almost almost RB 39713 7531 80 too too RB 39713 7531 81 rapid rapid JJ 39713 7531 82 for for IN 39713 7531 83 stable stable JJ 39713 7531 84 equilibrium equilibrium NN 39713 7531 85 to to TO 39713 7531 86 be be VB 39713 7531 87 possible possible JJ 39713 7531 88 . . . 39713 7532 1 In in IN 39713 7532 2 this this DT 39713 7532 3 hypothesis hypothesis NN 39713 7532 4 , , , 39713 7532 5 the the DT 39713 7532 6 observable observable JJ 39713 7532 7 proper proper JJ 39713 7532 8 motions motion NNS 39713 7532 9 would would MD 39713 7532 10 appear appear VB 39713 7532 11 to to IN 39713 7532 12 us -PRON- PRP 39713 7532 13 uniformly uniformly RB 39713 7532 14 distributed distribute VBN 39713 7532 15 , , , 39713 7532 16 and and CC 39713 7532 17 there there EX 39713 7532 18 would would MD 39713 7532 19 no no RB 39713 7532 20 longer longer RB 39713 7532 21 be be VB 39713 7532 22 a a DT 39713 7532 23 preponderance preponderance NN 39713 7532 24 of of IN 39713 7532 25 components component NNS 39713 7532 26 parallel parallel JJ 39713 7532 27 to to IN 39713 7532 28 the the DT 39713 7532 29 galactic galactic JJ 39713 7532 30 plane plane NN 39713 7532 31 . . . 39713 7533 1 They -PRON- PRP 39713 7533 2 will will MD 39713 7533 3 tell tell VB 39713 7533 4 us -PRON- PRP 39713 7533 5 nothing nothing NN 39713 7533 6 about about IN 39713 7533 7 the the DT 39713 7533 8 rotation rotation NN 39713 7533 9 itself -PRON- PRP 39713 7533 10 , , , 39713 7533 11 since since IN 39713 7533 12 we -PRON- PRP 39713 7533 13 belong belong VBP 39713 7533 14 to to IN 39713 7533 15 the the DT 39713 7533 16 turning turning NN 39713 7533 17 system system NN 39713 7533 18 . . . 39713 7534 1 If if IN 39713 7534 2 the the DT 39713 7534 3 spiral spiral JJ 39713 7534 4 nebulæ nebulæ NN 39713 7534 5 are be VBP 39713 7534 6 other other JJ 39713 7534 7 milky milky JJ 39713 7534 8 ways way NNS 39713 7534 9 , , , 39713 7534 10 foreign foreign JJ 39713 7534 11 to to IN 39713 7534 12 ours -PRON- PRP 39713 7534 13 , , , 39713 7534 14 they -PRON- PRP 39713 7534 15 are be VBP 39713 7534 16 not not RB 39713 7534 17 borne bear VBN 39713 7534 18 along along IN 39713 7534 19 in in IN 39713 7534 20 this this DT 39713 7534 21 rotation rotation NN 39713 7534 22 , , , 39713 7534 23 and and CC 39713 7534 24 we -PRON- PRP 39713 7534 25 might may MD 39713 7534 26 study study VB 39713 7534 27 their -PRON- PRP$ 39713 7534 28 proper proper JJ 39713 7534 29 motions motion NNS 39713 7534 30 . . . 39713 7535 1 It -PRON- PRP 39713 7535 2 is be VBZ 39713 7535 3 true true JJ 39713 7535 4 they -PRON- PRP 39713 7535 5 are be VBP 39713 7535 6 very very RB 39713 7535 7 far far RB 39713 7535 8 away away RB 39713 7535 9 ; ; : 39713 7535 10 if if IN 39713 7535 11 a a DT 39713 7535 12 nebula nebula NN 39713 7535 13 has have VBZ 39713 7535 14 the the DT 39713 7535 15 dimensions dimension NNS 39713 7535 16 of of IN 39713 7535 17 the the DT 39713 7535 18 milky milky JJ 39713 7535 19 way way NN 39713 7535 20 and and CC 39713 7535 21 if if IN 39713 7535 22 its -PRON- PRP$ 39713 7535 23 apparent apparent JJ 39713 7535 24 radius radius NN 39713 7535 25 is be VBZ 39713 7535 26 for for IN 39713 7535 27 example example NN 39713 7535 28 20 20 CD 39713 7535 29 " " '' 39713 7535 30 , , , 39713 7535 31 its -PRON- PRP$ 39713 7535 32 distance distance NN 39713 7535 33 is be VBZ 39713 7535 34 10,000 10,000 CD 39713 7535 35 times time NNS 39713 7535 36 the the DT 39713 7535 37 radius radius NN 39713 7535 38 of of IN 39713 7535 39 the the DT 39713 7535 40 milky milky NNP 39713 7535 41 way way NN 39713 7535 42 . . . 39713 7536 1 But but CC 39713 7536 2 that that DT 39713 7536 3 makes make VBZ 39713 7536 4 no no DT 39713 7536 5 difference difference NN 39713 7536 6 , , , 39713 7536 7 since since IN 39713 7536 8 it -PRON- PRP 39713 7536 9 is be VBZ 39713 7536 10 not not RB 39713 7536 11 about about IN 39713 7536 12 the the DT 39713 7536 13 translation translation NN 39713 7536 14 of of IN 39713 7536 15 our -PRON- PRP$ 39713 7536 16 system system NN 39713 7536 17 that that WDT 39713 7536 18 we -PRON- PRP 39713 7536 19 ask ask VBP 39713 7536 20 information information NN 39713 7536 21 from from IN 39713 7536 22 them -PRON- PRP 39713 7536 23 , , , 39713 7536 24 but but CC 39713 7536 25 about about IN 39713 7536 26 its -PRON- PRP$ 39713 7536 27 rotation rotation NN 39713 7536 28 . . . 39713 7537 1 The the DT 39713 7537 2 fixed fix VBN 39713 7537 3 stars star NNS 39713 7537 4 , , , 39713 7537 5 by by IN 39713 7537 6 their -PRON- PRP$ 39713 7537 7 apparent apparent JJ 39713 7537 8 motion motion NN 39713 7537 9 , , , 39713 7537 10 reveal reveal VB 39713 7537 11 to to IN 39713 7537 12 us -PRON- PRP 39713 7537 13 the the DT 39713 7537 14 diurnal diurnal JJ 39713 7537 15 rotation rotation NN 39713 7537 16 of of IN 39713 7537 17 the the DT 39713 7537 18 earth earth NN 39713 7537 19 , , , 39713 7537 20 though though IN 39713 7537 21 their -PRON- PRP$ 39713 7537 22 distance distance NN 39713 7537 23 is be VBZ 39713 7537 24 immense immense JJ 39713 7537 25 . . . 39713 7538 1 Unluckily unluckily JJ 39713 7538 2 , , , 39713 7538 3 the the DT 39713 7538 4 possible possible JJ 39713 7538 5 rotation rotation NN 39713 7538 6 of of IN 39713 7538 7 the the DT 39713 7538 8 milky milky JJ 39713 7538 9 way way NN 39713 7538 10 , , , 39713 7538 11 however however RB 39713 7538 12 rapid rapid JJ 39713 7538 13 it -PRON- PRP 39713 7538 14 may may MD 39713 7538 15 be be VB 39713 7538 16 relatively relatively RB 39713 7538 17 , , , 39713 7538 18 is be VBZ 39713 7538 19 very very RB 39713 7538 20 slow slow RB 39713 7538 21 viewed view VBN 39713 7538 22 absolutely absolutely RB 39713 7538 23 , , , 39713 7538 24 and and CC 39713 7538 25 besides besides IN 39713 7538 26 the the DT 39713 7538 27 pointings pointing NNS 39713 7538 28 on on IN 39713 7538 29 nebulæ nebulæ NN 39713 7538 30 can can MD 39713 7538 31 not not RB 39713 7538 32 be be VB 39713 7538 33 very very RB 39713 7538 34 precise precise JJ 39713 7538 35 ; ; : 39713 7538 36 therefore therefore RB 39713 7538 37 thousands thousand NNS 39713 7538 38 of of IN 39713 7538 39 years year NNS 39713 7538 40 of of IN 39713 7538 41 observations observation NNS 39713 7538 42 would would MD 39713 7538 43 be be VB 39713 7538 44 necessary necessary JJ 39713 7538 45 to to TO 39713 7538 46 learn learn VB 39713 7538 47 anything anything NN 39713 7538 48 . . . 39713 7539 1 However however RB 39713 7539 2 that that DT 39713 7539 3 may may MD 39713 7539 4 be be VB 39713 7539 5 , , , 39713 7539 6 in in IN 39713 7539 7 this this DT 39713 7539 8 second second JJ 39713 7539 9 hypothesis hypothesis NN 39713 7539 10 , , , 39713 7539 11 the the DT 39713 7539 12 figure figure NN 39713 7539 13 of of IN 39713 7539 14 the the DT 39713 7539 15 milky milky JJ 39713 7539 16 way way NN 39713 7539 17 would would MD 39713 7539 18 be be VB 39713 7539 19 a a DT 39713 7539 20 figure figure NN 39713 7539 21 of of IN 39713 7539 22 final final JJ 39713 7539 23 equilibrium equilibrium NN 39713 7539 24 . . . 39713 7540 1 I -PRON- PRP 39713 7540 2 shall shall MD 39713 7540 3 not not RB 39713 7540 4 further further RB 39713 7540 5 discuss discuss VB 39713 7540 6 the the DT 39713 7540 7 relative relative JJ 39713 7540 8 value value NN 39713 7540 9 of of IN 39713 7540 10 these these DT 39713 7540 11 two two CD 39713 7540 12 hypotheses hypothesis NNS 39713 7540 13 since since IN 39713 7540 14 there there EX 39713 7540 15 is be VBZ 39713 7540 16 a a DT 39713 7540 17 third third JJ 39713 7540 18 which which WDT 39713 7540 19 is be VBZ 39713 7540 20 perhaps perhaps RB 39713 7540 21 more more RBR 39713 7540 22 probable probable JJ 39713 7540 23 . . . 39713 7541 1 We -PRON- PRP 39713 7541 2 know know VBP 39713 7541 3 that that IN 39713 7541 4 among among IN 39713 7541 5 the the DT 39713 7541 6 irresolvable irresolvable JJ 39713 7541 7 nebulæ nebulæ NN 39713 7541 8 , , , 39713 7541 9 several several JJ 39713 7541 10 kinds kind NNS 39713 7541 11 may may MD 39713 7541 12 be be VB 39713 7541 13 distinguished distinguish VBN 39713 7541 14 : : : 39713 7541 15 the the DT 39713 7541 16 irregular irregular JJ 39713 7541 17 nebulæ nebulæ NN 39713 7541 18 like like IN 39713 7541 19 that that DT 39713 7541 20 of of IN 39713 7541 21 Orion Orion NNP 39713 7541 22 , , , 39713 7541 23 the the DT 39713 7541 24 planetary planetary NN 39713 7541 25 and and CC 39713 7541 26 annular annular NN 39713 7541 27 nebulæ nebulæ NN 39713 7541 28 , , , 39713 7541 29 the the DT 39713 7541 30 spiral spiral JJ 39713 7541 31 nebulæ nebulæ NN 39713 7541 32 . . . 39713 7542 1 The the DT 39713 7542 2 spectra spectra NN 39713 7542 3 of of IN 39713 7542 4 the the DT 39713 7542 5 first first JJ 39713 7542 6 two two CD 39713 7542 7 families family NNS 39713 7542 8 have have VBP 39713 7542 9 been be VBN 39713 7542 10 determined determine VBN 39713 7542 11 , , , 39713 7542 12 they -PRON- PRP 39713 7542 13 are be VBP 39713 7542 14 discontinuous discontinuous JJ 39713 7542 15 ; ; : 39713 7542 16 these these DT 39713 7542 17 nebulæ nebulæ NNS 39713 7542 18 are be VBP 39713 7542 19 therefore therefore RB 39713 7542 20 not not RB 39713 7542 21 formed form VBN 39713 7542 22 of of IN 39713 7542 23 stars star NNS 39713 7542 24 ; ; : 39713 7542 25 besides besides RB 39713 7542 26 , , , 39713 7542 27 their -PRON- PRP$ 39713 7542 28 distribution distribution NN 39713 7542 29 on on IN 39713 7542 30 the the DT 39713 7542 31 heavens heaven NNS 39713 7542 32 seems seem VBZ 39713 7542 33 to to TO 39713 7542 34 depend depend VB 39713 7542 35 upon upon IN 39713 7542 36 the the DT 39713 7542 37 milky milky JJ 39713 7542 38 way way NN 39713 7542 39 ; ; : 39713 7542 40 whether whether IN 39713 7542 41 they -PRON- PRP 39713 7542 42 have have VBP 39713 7542 43 a a DT 39713 7542 44 tendency tendency NN 39713 7542 45 to to TO 39713 7542 46 go go VB 39713 7542 47 away away RB 39713 7542 48 from from IN 39713 7542 49 it -PRON- PRP 39713 7542 50 , , , 39713 7542 51 or or CC 39713 7542 52 on on IN 39713 7542 53 the the DT 39713 7542 54 contrary contrary NN 39713 7542 55 to to TO 39713 7542 56 approach approach VB 39713 7542 57 it -PRON- PRP 39713 7542 58 , , , 39713 7542 59 they -PRON- PRP 39713 7542 60 make make VBP 39713 7542 61 therefore therefore RB 39713 7542 62 a a DT 39713 7542 63 part part NN 39713 7542 64 of of IN 39713 7542 65 the the DT 39713 7542 66 system system NN 39713 7542 67 . . . 39713 7543 1 On on IN 39713 7543 2 the the DT 39713 7543 3 other other JJ 39713 7543 4 hand hand NN 39713 7543 5 , , , 39713 7543 6 the the DT 39713 7543 7 spiral spiral JJ 39713 7543 8 nebulæ nebulæ NN 39713 7543 9 are be VBP 39713 7543 10 generally generally RB 39713 7543 11 considered consider VBN 39713 7543 12 as as IN 39713 7543 13 independent independent JJ 39713 7543 14 of of IN 39713 7543 15 the the DT 39713 7543 16 milky milky NNP 39713 7543 17 way way NN 39713 7543 18 ; ; : 39713 7543 19 it -PRON- PRP 39713 7543 20 is be VBZ 39713 7543 21 supposed suppose VBN 39713 7543 22 that that IN 39713 7543 23 they -PRON- PRP 39713 7543 24 , , , 39713 7543 25 like like IN 39713 7543 26 it -PRON- PRP 39713 7543 27 , , , 39713 7543 28 are be VBP 39713 7543 29 formed form VBN 39713 7543 30 of of IN 39713 7543 31 a a DT 39713 7543 32 multitude multitude NN 39713 7543 33 of of IN 39713 7543 34 stars star NNS 39713 7543 35 , , , 39713 7543 36 that that IN 39713 7543 37 they -PRON- PRP 39713 7543 38 are be VBP 39713 7543 39 , , , 39713 7543 40 in in IN 39713 7543 41 a a DT 39713 7543 42 word word NN 39713 7543 43 , , , 39713 7543 44 other other JJ 39713 7543 45 milky milky JJ 39713 7543 46 ways way NNS 39713 7543 47 very very RB 39713 7543 48 far far RB 39713 7543 49 away away RB 39713 7543 50 from from IN 39713 7543 51 ours -PRON- PRP 39713 7543 52 . . . 39713 7544 1 The the DT 39713 7544 2 recent recent JJ 39713 7544 3 investigations investigation NNS 39713 7544 4 of of IN 39713 7544 5 Stratonoff Stratonoff NNP 39713 7544 6 tend tend VBP 39713 7544 7 to to TO 39713 7544 8 make make VB 39713 7544 9 us -PRON- PRP 39713 7544 10 regard regard VB 39713 7544 11 the the DT 39713 7544 12 milky milky JJ 39713 7544 13 way way NN 39713 7544 14 itself -PRON- PRP 39713 7544 15 as as IN 39713 7544 16 a a DT 39713 7544 17 spiral spiral JJ 39713 7544 18 nebula nebula NN 39713 7544 19 , , , 39713 7544 20 and and CC 39713 7544 21 this this DT 39713 7544 22 is be VBZ 39713 7544 23 the the DT 39713 7544 24 third third JJ 39713 7544 25 hypothesis hypothesis NN 39713 7544 26 of of IN 39713 7544 27 which which WDT 39713 7544 28 I -PRON- PRP 39713 7544 29 wish wish VBP 39713 7544 30 to to TO 39713 7544 31 speak speak VB 39713 7544 32 . . . 39713 7545 1 How how WRB 39713 7545 2 can can MD 39713 7545 3 we -PRON- PRP 39713 7545 4 explain explain VB 39713 7545 5 the the DT 39713 7545 6 very very RB 39713 7545 7 singular singular JJ 39713 7545 8 appearances appearance NNS 39713 7545 9 presented present VBN 39713 7545 10 by by IN 39713 7545 11 the the DT 39713 7545 12 spiral spiral JJ 39713 7545 13 nebulæ nebulæ NN 39713 7545 14 , , , 39713 7545 15 which which WDT 39713 7545 16 are be VBP 39713 7545 17 too too RB 39713 7545 18 regular regular JJ 39713 7545 19 and and CC 39713 7545 20 too too RB 39713 7545 21 constant constant JJ 39713 7545 22 to to TO 39713 7545 23 be be VB 39713 7545 24 due due JJ 39713 7545 25 to to IN 39713 7545 26 chance chance NN 39713 7545 27 ? ? . 39713 7546 1 First first RB 39713 7546 2 of of IN 39713 7546 3 all all DT 39713 7546 4 , , , 39713 7546 5 to to TO 39713 7546 6 take take VB 39713 7546 7 a a DT 39713 7546 8 look look NN 39713 7546 9 at at IN 39713 7546 10 one one CD 39713 7546 11 of of IN 39713 7546 12 these these DT 39713 7546 13 representations representation NNS 39713 7546 14 is be VBZ 39713 7546 15 enough enough JJ 39713 7546 16 to to TO 39713 7546 17 see see VB 39713 7546 18 that that IN 39713 7546 19 the the DT 39713 7546 20 mass mass NN 39713 7546 21 is be VBZ 39713 7546 22 in in IN 39713 7546 23 rotation rotation NN 39713 7546 24 ; ; : 39713 7546 25 we -PRON- PRP 39713 7546 26 may may MD 39713 7546 27 even even RB 39713 7546 28 see see VB 39713 7546 29 what what WP 39713 7546 30 the the DT 39713 7546 31 sense sense NN 39713 7546 32 of of IN 39713 7546 33 the the DT 39713 7546 34 rotation rotation NN 39713 7546 35 is be VBZ 39713 7546 36 ; ; : 39713 7546 37 all all PDT 39713 7546 38 the the DT 39713 7546 39 spiral spiral JJ 39713 7546 40 radii radii NN 39713 7546 41 are be VBP 39713 7546 42 curved curve VBN 39713 7546 43 in in IN 39713 7546 44 the the DT 39713 7546 45 same same JJ 39713 7546 46 sense sense NN 39713 7546 47 ; ; : 39713 7546 48 it -PRON- PRP 39713 7546 49 is be VBZ 39713 7546 50 evident evident JJ 39713 7546 51 that that IN 39713 7546 52 the the DT 39713 7546 53 _ _ NNP 39713 7546 54 moving move VBG 39713 7546 55 wing wing NN 39713 7546 56 _ _ NNP 39713 7546 57 lags lag VBZ 39713 7546 58 behind behind IN 39713 7546 59 the the DT 39713 7546 60 pivot pivot NN 39713 7546 61 and and CC 39713 7546 62 that that WDT 39713 7546 63 fixes fix VBZ 39713 7546 64 the the DT 39713 7546 65 sense sense NN 39713 7546 66 of of IN 39713 7546 67 the the DT 39713 7546 68 rotation rotation NN 39713 7546 69 . . . 39713 7547 1 But but CC 39713 7547 2 this this DT 39713 7547 3 is be VBZ 39713 7547 4 not not RB 39713 7547 5 all all DT 39713 7547 6 ; ; : 39713 7547 7 it -PRON- PRP 39713 7547 8 is be VBZ 39713 7547 9 evident evident JJ 39713 7547 10 that that IN 39713 7547 11 these these DT 39713 7547 12 nebulæ nebulæ NN 39713 7547 13 can can MD 39713 7547 14 not not RB 39713 7547 15 be be VB 39713 7547 16 likened liken VBN 39713 7547 17 to to IN 39713 7547 18 a a DT 39713 7547 19 gas gas NN 39713 7547 20 at at IN 39713 7547 21 rest rest NN 39713 7547 22 , , , 39713 7547 23 nor nor CC 39713 7547 24 even even RB 39713 7547 25 to to IN 39713 7547 26 a a DT 39713 7547 27 gas gas NN 39713 7547 28 in in IN 39713 7547 29 relative relative JJ 39713 7547 30 equilibrium equilibrium NN 39713 7547 31 under under IN 39713 7547 32 the the DT 39713 7547 33 sway sway NN 39713 7547 34 of of IN 39713 7547 35 a a DT 39713 7547 36 uniform uniform JJ 39713 7547 37 rotation rotation NN 39713 7547 38 ; ; : 39713 7547 39 they -PRON- PRP 39713 7547 40 are be VBP 39713 7547 41 to to TO 39713 7547 42 be be VB 39713 7547 43 compared compare VBN 39713 7547 44 to to IN 39713 7547 45 a a DT 39713 7547 46 gas gas NN 39713 7547 47 in in IN 39713 7547 48 permanent permanent JJ 39713 7547 49 motion motion NN 39713 7547 50 in in IN 39713 7547 51 which which WDT 39713 7547 52 internal internal JJ 39713 7547 53 currents current NNS 39713 7547 54 prevail prevail VBP 39713 7547 55 . . . 39713 7548 1 Suppose suppose VB 39713 7548 2 , , , 39713 7548 3 for for IN 39713 7548 4 example example NN 39713 7548 5 , , , 39713 7548 6 that that IN 39713 7548 7 the the DT 39713 7548 8 rotation rotation NN 39713 7548 9 of of IN 39713 7548 10 the the DT 39713 7548 11 central central JJ 39713 7548 12 nucleus nucleus NNP 39713 7548 13 is be VBZ 39713 7548 14 rapid rapid JJ 39713 7548 15 ( ( -LRB- 39713 7548 16 you -PRON- PRP 39713 7548 17 know know VBP 39713 7548 18 what what WP 39713 7548 19 I -PRON- PRP 39713 7548 20 mean mean VBP 39713 7548 21 by by IN 39713 7548 22 this this DT 39713 7548 23 word word NN 39713 7548 24 ) ) -RRB- 39713 7548 25 , , , 39713 7548 26 too too RB 39713 7548 27 rapid rapid JJ 39713 7548 28 for for IN 39713 7548 29 stable stable JJ 39713 7548 30 equilibrium equilibrium NN 39713 7548 31 ; ; : 39713 7548 32 then then RB 39713 7548 33 at at IN 39713 7548 34 the the DT 39713 7548 35 equator equator NN 39713 7548 36 the the DT 39713 7548 37 centrifugal centrifugal JJ 39713 7548 38 force force NN 39713 7548 39 will will MD 39713 7548 40 drive drive VB 39713 7548 41 it -PRON- PRP 39713 7548 42 away away RB 39713 7548 43 over over IN 39713 7548 44 the the DT 39713 7548 45 attraction attraction NN 39713 7548 46 , , , 39713 7548 47 and and CC 39713 7548 48 the the DT 39713 7548 49 stars star NNS 39713 7548 50 will will MD 39713 7548 51 tend tend VB 39713 7548 52 to to TO 39713 7548 53 break break VB 39713 7548 54 away away RP 39713 7548 55 at at IN 39713 7548 56 the the DT 39713 7548 57 equator equator NN 39713 7548 58 and and CC 39713 7548 59 will will MD 39713 7548 60 form form VB 39713 7548 61 divergent divergent JJ 39713 7548 62 currents current NNS 39713 7548 63 ; ; : 39713 7548 64 but but CC 39713 7548 65 in in IN 39713 7548 66 going go VBG 39713 7548 67 away away RB 39713 7548 68 , , , 39713 7548 69 as as IN 39713 7548 70 their -PRON- PRP$ 39713 7548 71 moment moment NN 39713 7548 72 of of IN 39713 7548 73 rotation rotation NN 39713 7548 74 remains remain VBZ 39713 7548 75 constant constant JJ 39713 7548 76 , , , 39713 7548 77 while while IN 39713 7548 78 the the DT 39713 7548 79 radius radius NN 39713 7548 80 vector vector NN 39713 7548 81 augments augment NNS 39713 7548 82 , , , 39713 7548 83 their -PRON- PRP$ 39713 7548 84 angular angular JJ 39713 7548 85 velocity velocity NN 39713 7548 86 will will MD 39713 7548 87 diminish diminish VB 39713 7548 88 , , , 39713 7548 89 and and CC 39713 7548 90 this this DT 39713 7548 91 is be VBZ 39713 7548 92 why why WRB 39713 7548 93 the the DT 39713 7548 94 moving move VBG 39713 7548 95 wing wing NN 39713 7548 96 seems seem VBZ 39713 7548 97 to to TO 39713 7548 98 lag lag VB 39713 7548 99 back back RP 39713 7548 100 . . . 39713 7549 1 From from IN 39713 7549 2 this this DT 39713 7549 3 point point NN 39713 7549 4 of of IN 39713 7549 5 view view NN 39713 7549 6 , , , 39713 7549 7 there there EX 39713 7549 8 would would MD 39713 7549 9 not not RB 39713 7549 10 be be VB 39713 7549 11 a a DT 39713 7549 12 real real RB 39713 7549 13 permanent permanent JJ 39713 7549 14 motion motion NN 39713 7549 15 , , , 39713 7549 16 the the DT 39713 7549 17 central central JJ 39713 7549 18 nucleus nucleus NN 39713 7549 19 would would MD 39713 7549 20 constantly constantly RB 39713 7549 21 lose lose VB 39713 7549 22 matter matter NN 39713 7549 23 which which WDT 39713 7549 24 would would MD 39713 7549 25 go go VB 39713 7549 26 out out IN 39713 7549 27 of of IN 39713 7549 28 it -PRON- PRP 39713 7549 29 never never RB 39713 7549 30 to to TO 39713 7549 31 return return VB 39713 7549 32 , , , 39713 7549 33 and and CC 39713 7549 34 would would MD 39713 7549 35 drain drain VB 39713 7549 36 away away RB 39713 7549 37 progressively progressively RB 39713 7549 38 . . . 39713 7550 1 But but CC 39713 7550 2 we -PRON- PRP 39713 7550 3 may may MD 39713 7550 4 modify modify VB 39713 7550 5 the the DT 39713 7550 6 hypothesis hypothesis NN 39713 7550 7 . . . 39713 7551 1 In in IN 39713 7551 2 proportion proportion NN 39713 7551 3 as as IN 39713 7551 4 it -PRON- PRP 39713 7551 5 goes go VBZ 39713 7551 6 away away RB 39713 7551 7 , , , 39713 7551 8 the the DT 39713 7551 9 star star NN 39713 7551 10 loses lose VBZ 39713 7551 11 its -PRON- PRP$ 39713 7551 12 velocity velocity NN 39713 7551 13 and and CC 39713 7551 14 ends end NNS 39713 7551 15 by by IN 39713 7551 16 stopping stop VBG 39713 7551 17 ; ; : 39713 7551 18 at at IN 39713 7551 19 this this DT 39713 7551 20 moment moment NN 39713 7551 21 attraction attraction NN 39713 7551 22 regains regain VBZ 39713 7551 23 possession possession NN 39713 7551 24 of of IN 39713 7551 25 it -PRON- PRP 39713 7551 26 and and CC 39713 7551 27 leads lead VBZ 39713 7551 28 it -PRON- PRP 39713 7551 29 back back RB 39713 7551 30 toward toward IN 39713 7551 31 the the DT 39713 7551 32 nucleus nucleus NN 39713 7551 33 ; ; : 39713 7551 34 so so CC 39713 7551 35 there there EX 39713 7551 36 will will MD 39713 7551 37 be be VB 39713 7551 38 centripetal centripetal JJ 39713 7551 39 currents current NNS 39713 7551 40 . . . 39713 7552 1 We -PRON- PRP 39713 7552 2 must must MD 39713 7552 3 suppose suppose VB 39713 7552 4 the the DT 39713 7552 5 centripetal centripetal JJ 39713 7552 6 currents current NNS 39713 7552 7 are be VBP 39713 7552 8 the the DT 39713 7552 9 first first JJ 39713 7552 10 rank rank NN 39713 7552 11 and and CC 39713 7552 12 the the DT 39713 7552 13 centrifugal centrifugal JJ 39713 7552 14 currents current NNS 39713 7552 15 the the DT 39713 7552 16 second second JJ 39713 7552 17 rank rank NN 39713 7552 18 , , , 39713 7552 19 if if IN 39713 7552 20 we -PRON- PRP 39713 7552 21 adopt adopt VBP 39713 7552 22 the the DT 39713 7552 23 comparison comparison NN 39713 7552 24 with with IN 39713 7552 25 a a DT 39713 7552 26 troop troop NN 39713 7552 27 in in IN 39713 7552 28 battle battle NN 39713 7552 29 executing execute VBG 39713 7552 30 a a DT 39713 7552 31 change change NN 39713 7552 32 of of IN 39713 7552 33 front front NN 39713 7552 34 ; ; : 39713 7552 35 and and CC 39713 7552 36 , , , 39713 7552 37 in in IN 39713 7552 38 fact fact NN 39713 7552 39 , , , 39713 7552 40 it -PRON- PRP 39713 7552 41 is be VBZ 39713 7552 42 necessary necessary JJ 39713 7552 43 that that IN 39713 7552 44 the the DT 39713 7552 45 composite composite JJ 39713 7552 46 centrifugal centrifugal JJ 39713 7552 47 force force NN 39713 7552 48 be be VB 39713 7552 49 compensated compensate VBN 39713 7552 50 by by IN 39713 7552 51 the the DT 39713 7552 52 attraction attraction NN 39713 7552 53 exercised exercise VBN 39713 7552 54 by by IN 39713 7552 55 the the DT 39713 7552 56 central central JJ 39713 7552 57 layers layer NNS 39713 7552 58 of of IN 39713 7552 59 the the DT 39713 7552 60 swarm swarm NN 39713 7552 61 upon upon IN 39713 7552 62 the the DT 39713 7552 63 extreme extreme JJ 39713 7552 64 layers layer NNS 39713 7552 65 . . . 39713 7553 1 Besides besides RB 39713 7553 2 , , , 39713 7553 3 at at IN 39713 7553 4 the the DT 39713 7553 5 end end NN 39713 7553 6 of of IN 39713 7553 7 a a DT 39713 7553 8 certain certain JJ 39713 7553 9 time time NN 39713 7553 10 a a DT 39713 7553 11 permanent permanent JJ 39713 7553 12 régime régime NN 39713 7553 13 establishes establish VBZ 39713 7553 14 itself -PRON- PRP 39713 7553 15 ; ; : 39713 7553 16 the the DT 39713 7553 17 swarm swarm NN 39713 7553 18 being be VBG 39713 7553 19 curved curve VBN 39713 7553 20 , , , 39713 7553 21 the the DT 39713 7553 22 attraction attraction NN 39713 7553 23 exercised exercise VBN 39713 7553 24 upon upon IN 39713 7553 25 the the DT 39713 7553 26 pivot pivot NN 39713 7553 27 by by IN 39713 7553 28 the the DT 39713 7553 29 moving move VBG 39713 7553 30 wing wing NN 39713 7553 31 tends tend VBZ 39713 7553 32 to to TO 39713 7553 33 slow slow VB 39713 7553 34 up up RP 39713 7553 35 the the DT 39713 7553 36 pivot pivot NN 39713 7553 37 and and CC 39713 7553 38 that that DT 39713 7553 39 of of IN 39713 7553 40 the the DT 39713 7553 41 pivot pivot NN 39713 7553 42 upon upon IN 39713 7553 43 the the DT 39713 7553 44 moving move VBG 39713 7553 45 wing wing NN 39713 7553 46 tends tend VBZ 39713 7553 47 to to TO 39713 7553 48 accelerate accelerate VB 39713 7553 49 the the DT 39713 7553 50 advance advance NN 39713 7553 51 of of IN 39713 7553 52 this this DT 39713 7553 53 wing wing NN 39713 7553 54 which which WDT 39713 7553 55 no no RB 39713 7553 56 longer long RBR 39713 7553 57 augments augment VBZ 39713 7553 58 its -PRON- PRP$ 39713 7553 59 lag lag NN 39713 7553 60 , , , 39713 7553 61 so so IN 39713 7553 62 that that IN 39713 7553 63 finally finally RB 39713 7553 64 all all PDT 39713 7553 65 the the DT 39713 7553 66 radii radii NN 39713 7553 67 end end NN 39713 7553 68 by by IN 39713 7553 69 turning turn VBG 39713 7553 70 with with IN 39713 7553 71 a a DT 39713 7553 72 uniform uniform JJ 39713 7553 73 velocity velocity NN 39713 7553 74 . . . 39713 7554 1 We -PRON- PRP 39713 7554 2 may may MD 39713 7554 3 still still RB 39713 7554 4 suppose suppose VB 39713 7554 5 that that IN 39713 7554 6 the the DT 39713 7554 7 rotation rotation NN 39713 7554 8 of of IN 39713 7554 9 the the DT 39713 7554 10 nucleus nucleus NN 39713 7554 11 is be VBZ 39713 7554 12 quicker quick JJR 39713 7554 13 than than IN 39713 7554 14 that that DT 39713 7554 15 of of IN 39713 7554 16 the the DT 39713 7554 17 radii radii NN 39713 7554 18 . . . 39713 7555 1 A a DT 39713 7555 2 question question NN 39713 7555 3 remains remain VBZ 39713 7555 4 ; ; : 39713 7555 5 why why WRB 39713 7555 6 do do VBP 39713 7555 7 these these DT 39713 7555 8 centripetal centripetal JJ 39713 7555 9 and and CC 39713 7555 10 centrifugal centrifugal JJ 39713 7555 11 swarms swarm NNS 39713 7555 12 tend tend VBP 39713 7555 13 to to TO 39713 7555 14 concentrate concentrate VB 39713 7555 15 themselves -PRON- PRP 39713 7555 16 in in IN 39713 7555 17 radii radii NN 39713 7555 18 instead instead RB 39713 7555 19 of of IN 39713 7555 20 disseminating disseminate VBG 39713 7555 21 themselves -PRON- PRP 39713 7555 22 a a DT 39713 7555 23 little little JJ 39713 7555 24 everywhere everywhere RB 39713 7555 25 ? ? . 39713 7556 1 Why why WRB 39713 7556 2 do do VBP 39713 7556 3 these these DT 39713 7556 4 rays ray NNS 39713 7556 5 distribute distribute VB 39713 7556 6 themselves -PRON- PRP 39713 7556 7 regularly regularly RB 39713 7556 8 ? ? . 39713 7557 1 If if IN 39713 7557 2 the the DT 39713 7557 3 swarms swarm NNS 39713 7557 4 concentrate concentrate VBP 39713 7557 5 themselves -PRON- PRP 39713 7557 6 , , , 39713 7557 7 it -PRON- PRP 39713 7557 8 is be VBZ 39713 7557 9 because because IN 39713 7557 10 of of IN 39713 7557 11 the the DT 39713 7557 12 attraction attraction NN 39713 7557 13 exercised exercise VBN 39713 7557 14 by by IN 39713 7557 15 the the DT 39713 7557 16 already already RB 39713 7557 17 existing exist VBG 39713 7557 18 swarms swarm NNS 39713 7557 19 upon upon IN 39713 7557 20 the the DT 39713 7557 21 stars star NNS 39713 7557 22 which which WDT 39713 7557 23 go go VBP 39713 7557 24 out out RP 39713 7557 25 from from IN 39713 7557 26 the the DT 39713 7557 27 nucleus nucleus NN 39713 7557 28 in in IN 39713 7557 29 their -PRON- PRP$ 39713 7557 30 neighborhood neighborhood NN 39713 7557 31 . . . 39713 7558 1 After after IN 39713 7558 2 an an DT 39713 7558 3 inequality inequality NN 39713 7558 4 is be VBZ 39713 7558 5 produced produce VBN 39713 7558 6 , , , 39713 7558 7 it -PRON- PRP 39713 7558 8 tends tend VBZ 39713 7558 9 to to TO 39713 7558 10 accentuate accentuate VB 39713 7558 11 itself -PRON- PRP 39713 7558 12 in in IN 39713 7558 13 this this DT 39713 7558 14 way way NN 39713 7558 15 . . . 39713 7559 1 Why why WRB 39713 7559 2 do do VBP 39713 7559 3 the the DT 39713 7559 4 rays ray NNS 39713 7559 5 distribute distribute VB 39713 7559 6 themselves -PRON- PRP 39713 7559 7 regularly regularly RB 39713 7559 8 ? ? . 39713 7560 1 That that DT 39713 7560 2 is be VBZ 39713 7560 3 less less RBR 39713 7560 4 obvious obvious JJ 39713 7560 5 . . . 39713 7561 1 Suppose suppose VB 39713 7561 2 there there EX 39713 7561 3 is be VBZ 39713 7561 4 no no DT 39713 7561 5 rotation rotation NN 39713 7561 6 , , , 39713 7561 7 that that IN 39713 7561 8 all all PDT 39713 7561 9 the the DT 39713 7561 10 stars star NNS 39713 7561 11 are be VBP 39713 7561 12 in in IN 39713 7561 13 two two CD 39713 7561 14 planes plane NNS 39713 7561 15 at at IN 39713 7561 16 right right JJ 39713 7561 17 angles angle NNS 39713 7561 18 , , , 39713 7561 19 in in IN 39713 7561 20 such such PDT 39713 7561 21 a a DT 39713 7561 22 way way NN 39713 7561 23 that that WDT 39713 7561 24 their -PRON- PRP$ 39713 7561 25 distribution distribution NN 39713 7561 26 is be VBZ 39713 7561 27 symmetric symmetric JJ 39713 7561 28 with with IN 39713 7561 29 regard regard NN 39713 7561 30 to to IN 39713 7561 31 these these DT 39713 7561 32 two two CD 39713 7561 33 planes plane NNS 39713 7561 34 . . . 39713 7562 1 By by IN 39713 7562 2 symmetry symmetry NN 39713 7562 3 , , , 39713 7562 4 there there EX 39713 7562 5 would would MD 39713 7562 6 be be VB 39713 7562 7 no no DT 39713 7562 8 reason reason NN 39713 7562 9 for for IN 39713 7562 10 their -PRON- PRP$ 39713 7562 11 going go VBG 39713 7562 12 out out IN 39713 7562 13 of of IN 39713 7562 14 these these DT 39713 7562 15 planes plane NNS 39713 7562 16 , , , 39713 7562 17 nor nor CC 39713 7562 18 for for IN 39713 7562 19 the the DT 39713 7562 20 symmetry symmetry NN 39713 7562 21 changing change VBG 39713 7562 22 . . . 39713 7563 1 This this DT 39713 7563 2 configuration configuration NN 39713 7563 3 would would MD 39713 7563 4 give give VB 39713 7563 5 us -PRON- PRP 39713 7563 6 therefore therefore RB 39713 7563 7 equilibrium equilibrium NN 39713 7563 8 , , , 39713 7563 9 but but CC 39713 7563 10 _ _ NNP 39713 7563 11 this this DT 39713 7563 12 would would MD 39713 7563 13 be be VB 39713 7563 14 an an DT 39713 7563 15 unstable unstable JJ 39713 7563 16 equilibrium equilibrium NN 39713 7563 17 _ _ NNP 39713 7563 18 . . . 39713 7564 1 If if IN 39713 7564 2 on on IN 39713 7564 3 the the DT 39713 7564 4 contrary contrary NN 39713 7564 5 , , , 39713 7564 6 there there EX 39713 7564 7 is be VBZ 39713 7564 8 rotation rotation NN 39713 7564 9 , , , 39713 7564 10 we -PRON- PRP 39713 7564 11 shall shall MD 39713 7564 12 find find VB 39713 7564 13 an an DT 39713 7564 14 analogous analogous JJ 39713 7564 15 configuration configuration NN 39713 7564 16 of of IN 39713 7564 17 equilibrium equilibrium NN 39713 7564 18 with with IN 39713 7564 19 four four CD 39713 7564 20 curved curved JJ 39713 7564 21 rays ray NNS 39713 7564 22 , , , 39713 7564 23 equal equal JJ 39713 7564 24 to to IN 39713 7564 25 each each DT 39713 7564 26 other other JJ 39713 7564 27 and and CC 39713 7564 28 intersecting intersect VBG 39713 7564 29 at at IN 39713 7564 30 90 90 CD 39713 7564 31 ° ° NNS 39713 7564 32 , , , 39713 7564 33 and and CC 39713 7564 34 if if IN 39713 7564 35 the the DT 39713 7564 36 rotation rotation NN 39713 7564 37 is be VBZ 39713 7564 38 sufficiently sufficiently RB 39713 7564 39 rapid rapid JJ 39713 7564 40 , , , 39713 7564 41 this this DT 39713 7564 42 equilibrium equilibrium NN 39713 7564 43 is be VBZ 39713 7564 44 stable stable JJ 39713 7564 45 . . . 39713 7565 1 I -PRON- PRP 39713 7565 2 am be VBP 39713 7565 3 not not RB 39713 7565 4 in in IN 39713 7565 5 position position NN 39713 7565 6 to to TO 39713 7565 7 make make VB 39713 7565 8 this this DT 39713 7565 9 more more RBR 39713 7565 10 precise precise JJ 39713 7565 11 : : : 39713 7565 12 enough enough RB 39713 7565 13 if if IN 39713 7565 14 you -PRON- PRP 39713 7565 15 see see VBP 39713 7565 16 that that IN 39713 7565 17 these these DT 39713 7565 18 spiral spiral JJ 39713 7565 19 forms form NNS 39713 7565 20 may may MD 39713 7565 21 perhaps perhaps RB 39713 7565 22 some some DT 39713 7565 23 day day NN 39713 7565 24 be be VB 39713 7565 25 explained explain VBN 39713 7565 26 by by IN 39713 7565 27 only only RB 39713 7565 28 the the DT 39713 7565 29 law law NN 39713 7565 30 of of IN 39713 7565 31 gravitation gravitation NN 39713 7565 32 and and CC 39713 7565 33 statistical statistical JJ 39713 7565 34 consideration consideration NN 39713 7565 35 recalling recall VBG 39713 7565 36 those those DT 39713 7565 37 of of IN 39713 7565 38 the the DT 39713 7565 39 theory theory NN 39713 7565 40 of of IN 39713 7565 41 gases gas NNS 39713 7565 42 . . . 39713 7566 1 What what WP 39713 7566 2 has have VBZ 39713 7566 3 been be VBN 39713 7566 4 said say VBN 39713 7566 5 of of IN 39713 7566 6 internal internal JJ 39713 7566 7 currents current NNS 39713 7566 8 shows show VBZ 39713 7566 9 it -PRON- PRP 39713 7566 10 is be VBZ 39713 7566 11 of of IN 39713 7566 12 interest interest NN 39713 7566 13 to to TO 39713 7566 14 discuss discuss VB 39713 7566 15 systematically systematically RB 39713 7566 16 the the DT 39713 7566 17 aggregate aggregate NN 39713 7566 18 of of IN 39713 7566 19 proper proper JJ 39713 7566 20 motions motion NNS 39713 7566 21 ; ; : 39713 7566 22 this this DT 39713 7566 23 may may MD 39713 7566 24 be be VB 39713 7566 25 done do VBN 39713 7566 26 in in IN 39713 7566 27 a a DT 39713 7566 28 hundred hundred CD 39713 7566 29 years year NNS 39713 7566 30 , , , 39713 7566 31 when when WRB 39713 7566 32 the the DT 39713 7566 33 second second JJ 39713 7566 34 edition edition NN 39713 7566 35 is be VBZ 39713 7566 36 issued issue VBN 39713 7566 37 of of IN 39713 7566 38 the the DT 39713 7566 39 chart chart NN 39713 7566 40 of of IN 39713 7566 41 the the DT 39713 7566 42 heavens heavens NNPS 39713 7566 43 and and CC 39713 7566 44 compared compare VBN 39713 7566 45 with with IN 39713 7566 46 the the DT 39713 7566 47 first first JJ 39713 7566 48 , , , 39713 7566 49 that that IN 39713 7566 50 we -PRON- PRP 39713 7566 51 now now RB 39713 7566 52 are be VBP 39713 7566 53 making make VBG 39713 7566 54 . . . 39713 7567 1 But but CC 39713 7567 2 , , , 39713 7567 3 in in IN 39713 7567 4 conclusion conclusion NN 39713 7567 5 , , , 39713 7567 6 I -PRON- PRP 39713 7567 7 wish wish VBP 39713 7567 8 to to TO 39713 7567 9 call call VB 39713 7567 10 your -PRON- PRP$ 39713 7567 11 attention attention NN 39713 7567 12 to to IN 39713 7567 13 a a DT 39713 7567 14 question question NN 39713 7567 15 , , , 39713 7567 16 that that DT 39713 7567 17 of of IN 39713 7567 18 the the DT 39713 7567 19 age age NN 39713 7567 20 of of IN 39713 7567 21 the the DT 39713 7567 22 milky milky JJ 39713 7567 23 way way NN 39713 7567 24 or or CC 39713 7567 25 the the DT 39713 7567 26 nebulæ nebulæ NN 39713 7567 27 . . . 39713 7568 1 If if IN 39713 7568 2 what what WP 39713 7568 3 we -PRON- PRP 39713 7568 4 think think VBP 39713 7568 5 we -PRON- PRP 39713 7568 6 see see VBP 39713 7568 7 is be VBZ 39713 7568 8 confirmed confirm VBN 39713 7568 9 , , , 39713 7568 10 we -PRON- PRP 39713 7568 11 can can MD 39713 7568 12 get get VB 39713 7568 13 an an DT 39713 7568 14 idea idea NN 39713 7568 15 of of IN 39713 7568 16 it -PRON- PRP 39713 7568 17 . . . 39713 7569 1 That that DT 39713 7569 2 sort sort NN 39713 7569 3 of of IN 39713 7569 4 statistical statistical JJ 39713 7569 5 equilibrium equilibrium NN 39713 7569 6 of of IN 39713 7569 7 which which WDT 39713 7569 8 gases gas NNS 39713 7569 9 give give VBP 39713 7569 10 us -PRON- PRP 39713 7569 11 the the DT 39713 7569 12 model model NN 39713 7569 13 is be VBZ 39713 7569 14 established establish VBN 39713 7569 15 only only RB 39713 7569 16 in in IN 39713 7569 17 consequence consequence NN 39713 7569 18 of of IN 39713 7569 19 a a DT 39713 7569 20 great great JJ 39713 7569 21 number number NN 39713 7569 22 of of IN 39713 7569 23 impacts impact NNS 39713 7569 24 . . . 39713 7570 1 If if IN 39713 7570 2 these these DT 39713 7570 3 impacts impact NNS 39713 7570 4 are be VBP 39713 7570 5 rare rare JJ 39713 7570 6 , , , 39713 7570 7 it -PRON- PRP 39713 7570 8 can can MD 39713 7570 9 come come VB 39713 7570 10 about about RP 39713 7570 11 only only RB 39713 7570 12 after after IN 39713 7570 13 a a DT 39713 7570 14 very very RB 39713 7570 15 long long JJ 39713 7570 16 time time NN 39713 7570 17 ; ; : 39713 7570 18 if if IN 39713 7570 19 really really RB 39713 7570 20 the the DT 39713 7570 21 milky milky JJ 39713 7570 22 way way NN 39713 7570 23 ( ( -LRB- 39713 7570 24 or or CC 39713 7570 25 at at IN 39713 7570 26 least least JJS 39713 7570 27 the the DT 39713 7570 28 agglomerations agglomeration NNS 39713 7570 29 which which WDT 39713 7570 30 are be VBP 39713 7570 31 contained contain VBN 39713 7570 32 in in IN 39713 7570 33 it -PRON- PRP 39713 7570 34 ) ) -RRB- 39713 7570 35 , , , 39713 7570 36 if if IN 39713 7570 37 the the DT 39713 7570 38 nebulæ nebulæ NN 39713 7570 39 have have VBP 39713 7570 40 attained attain VBN 39713 7570 41 this this DT 39713 7570 42 equilibrium equilibrium NN 39713 7570 43 , , , 39713 7570 44 this this DT 39713 7570 45 means mean VBZ 39713 7570 46 they -PRON- PRP 39713 7570 47 are be VBP 39713 7570 48 very very RB 39713 7570 49 old old JJ 39713 7570 50 , , , 39713 7570 51 and and CC 39713 7570 52 we -PRON- PRP 39713 7570 53 shall shall MD 39713 7570 54 have have VB 39713 7570 55 an an DT 39713 7570 56 inferior inferior JJ 39713 7570 57 limit limit NN 39713 7570 58 of of IN 39713 7570 59 their -PRON- PRP$ 39713 7570 60 age age NN 39713 7570 61 . . . 39713 7571 1 Likewise likewise RB 39713 7571 2 we -PRON- PRP 39713 7571 3 should should MD 39713 7571 4 have have VB 39713 7571 5 of of IN 39713 7571 6 it -PRON- PRP 39713 7571 7 a a DT 39713 7571 8 superior superior JJ 39713 7571 9 limit limit NN 39713 7571 10 ; ; : 39713 7571 11 this this DT 39713 7571 12 equilibrium equilibrium NN 39713 7571 13 is be VBZ 39713 7571 14 not not RB 39713 7571 15 final final JJ 39713 7571 16 and and CC 39713 7571 17 can can MD 39713 7571 18 not not RB 39713 7571 19 last last VB 39713 7571 20 always always RB 39713 7571 21 . . . 39713 7572 1 Our -PRON- PRP$ 39713 7572 2 spiral spiral JJ 39713 7572 3 nebulæ nebulæ NN 39713 7572 4 would would MD 39713 7572 5 be be VB 39713 7572 6 comparable comparable JJ 39713 7572 7 to to IN 39713 7572 8 gases gas NNS 39713 7572 9 impelled impel VBN 39713 7572 10 by by IN 39713 7572 11 permanent permanent JJ 39713 7572 12 motions motion NNS 39713 7572 13 ; ; : 39713 7572 14 but but CC 39713 7572 15 gases gas NNS 39713 7572 16 in in IN 39713 7572 17 motion motion NN 39713 7572 18 are be VBP 39713 7572 19 viscous viscous JJ 39713 7572 20 and and CC 39713 7572 21 their -PRON- PRP$ 39713 7572 22 velocities velocity NNS 39713 7572 23 end end VBP 39713 7572 24 by by IN 39713 7572 25 wearing wear VBG 39713 7572 26 out out RP 39713 7572 27 . . . 39713 7573 1 What what WP 39713 7573 2 here here RB 39713 7573 3 corresponds correspond VBZ 39713 7573 4 to to IN 39713 7573 5 the the DT 39713 7573 6 viscosity viscosity NN 39713 7573 7 ( ( -LRB- 39713 7573 8 and and CC 39713 7573 9 which which WDT 39713 7573 10 depends depend VBZ 39713 7573 11 upon upon IN 39713 7573 12 the the DT 39713 7573 13 chances chance NNS 39713 7573 14 of of IN 39713 7573 15 impact impact NN 39713 7573 16 of of IN 39713 7573 17 the the DT 39713 7573 18 molecules molecule NNS 39713 7573 19 ) ) -RRB- 39713 7573 20 is be VBZ 39713 7573 21 excessively excessively RB 39713 7573 22 slight slight JJ 39713 7573 23 , , , 39713 7573 24 so so IN 39713 7573 25 that that IN 39713 7573 26 the the DT 39713 7573 27 present present JJ 39713 7573 28 régime régime NN 39713 7573 29 may may MD 39713 7573 30 persist persist VB 39713 7573 31 during during IN 39713 7573 32 an an DT 39713 7573 33 extremely extremely RB 39713 7573 34 long long JJ 39713 7573 35 time time NN 39713 7573 36 , , , 39713 7573 37 yet yet CC 39713 7573 38 not not RB 39713 7573 39 forever forever RB 39713 7573 40 , , , 39713 7573 41 so so IN 39713 7573 42 that that IN 39713 7573 43 our -PRON- PRP$ 39713 7573 44 milky milky JJ 39713 7573 45 ways way NNS 39713 7573 46 can can MD 39713 7573 47 not not RB 39713 7573 48 live live VB 39713 7573 49 eternally eternally RB 39713 7573 50 nor nor CC 39713 7573 51 become become VBN 39713 7573 52 infinitely infinitely RB 39713 7573 53 old old JJ 39713 7573 54 . . . 39713 7574 1 And and CC 39713 7574 2 this this DT 39713 7574 3 is be VBZ 39713 7574 4 not not RB 39713 7574 5 all all DT 39713 7574 6 . . . 39713 7575 1 Consider consider VB 39713 7575 2 our -PRON- PRP$ 39713 7575 3 atmosphere atmosphere NN 39713 7575 4 : : : 39713 7575 5 at at IN 39713 7575 6 the the DT 39713 7575 7 surface surface NN 39713 7575 8 must must MD 39713 7575 9 reign reign VB 39713 7575 10 a a DT 39713 7575 11 temperature temperature NN 39713 7575 12 infinitely infinitely RB 39713 7575 13 small small JJ 39713 7575 14 and and CC 39713 7575 15 the the DT 39713 7575 16 velocity velocity NN 39713 7575 17 of of IN 39713 7575 18 the the DT 39713 7575 19 molecules molecule NNS 39713 7575 20 there there EX 39713 7575 21 is be VBZ 39713 7575 22 near near IN 39713 7575 23 zero zero CD 39713 7575 24 . . . 39713 7576 1 But but CC 39713 7576 2 this this DT 39713 7576 3 is be VBZ 39713 7576 4 a a DT 39713 7576 5 question question NN 39713 7576 6 only only RB 39713 7576 7 of of IN 39713 7576 8 the the DT 39713 7576 9 mean mean JJ 39713 7576 10 velocity velocity NN 39713 7576 11 ; ; : 39713 7576 12 as as IN 39713 7576 13 a a DT 39713 7576 14 consequence consequence NN 39713 7576 15 of of IN 39713 7576 16 impacts impact NNS 39713 7576 17 , , , 39713 7576 18 one one CD 39713 7576 19 of of IN 39713 7576 20 these these DT 39713 7576 21 molecules molecule NNS 39713 7576 22 may may MD 39713 7576 23 acquire acquire VB 39713 7576 24 ( ( -LRB- 39713 7576 25 rarely rarely RB 39713 7576 26 , , , 39713 7576 27 it -PRON- PRP 39713 7576 28 is be VBZ 39713 7576 29 true true JJ 39713 7576 30 ) ) -RRB- 39713 7576 31 an an DT 39713 7576 32 enormous enormous JJ 39713 7576 33 velocity velocity NN 39713 7576 34 , , , 39713 7576 35 and and CC 39713 7576 36 then then RB 39713 7576 37 it -PRON- PRP 39713 7576 38 will will MD 39713 7576 39 rush rush VB 39713 7576 40 out out IN 39713 7576 41 of of IN 39713 7576 42 the the DT 39713 7576 43 atmosphere atmosphere NN 39713 7576 44 , , , 39713 7576 45 and and CC 39713 7576 46 once once RB 39713 7576 47 out out RB 39713 7576 48 , , , 39713 7576 49 it -PRON- PRP 39713 7576 50 will will MD 39713 7576 51 never never RB 39713 7576 52 return return VB 39713 7576 53 ; ; : 39713 7576 54 therefore therefore RB 39713 7576 55 our -PRON- PRP$ 39713 7576 56 atmosphere atmosphere NN 39713 7576 57 drains drain VBZ 39713 7576 58 off off RP 39713 7576 59 thus thus RB 39713 7576 60 with with IN 39713 7576 61 extreme extreme JJ 39713 7576 62 slowness slowness NN 39713 7576 63 . . . 39713 7577 1 The the DT 39713 7577 2 milky milky JJ 39713 7577 3 way way NN 39713 7577 4 also also RB 39713 7577 5 from from IN 39713 7577 6 time time NN 39713 7577 7 to to IN 39713 7577 8 time time NN 39713 7577 9 loses lose VBZ 39713 7577 10 a a DT 39713 7577 11 star star NN 39713 7577 12 by by IN 39713 7577 13 the the DT 39713 7577 14 same same JJ 39713 7577 15 mechanism mechanism NN 39713 7577 16 , , , 39713 7577 17 and and CC 39713 7577 18 that that IN 39713 7577 19 likewise likewise RB 39713 7577 20 limits limit VBZ 39713 7577 21 its -PRON- PRP$ 39713 7577 22 duration duration NN 39713 7577 23 . . . 39713 7578 1 Well well UH 39713 7578 2 , , , 39713 7578 3 it -PRON- PRP 39713 7578 4 is be VBZ 39713 7578 5 certain certain JJ 39713 7578 6 that that IN 39713 7578 7 if if IN 39713 7578 8 we -PRON- PRP 39713 7578 9 compute compute VBP 39713 7578 10 in in IN 39713 7578 11 this this DT 39713 7578 12 manner manner NN 39713 7578 13 the the DT 39713 7578 14 age age NN 39713 7578 15 of of IN 39713 7578 16 the the DT 39713 7578 17 milky milky JJ 39713 7578 18 way way NN 39713 7578 19 , , , 39713 7578 20 we -PRON- PRP 39713 7578 21 shall shall MD 39713 7578 22 get get VB 39713 7578 23 enormous enormous JJ 39713 7578 24 figures figure NNS 39713 7578 25 . . . 39713 7579 1 But but CC 39713 7579 2 here here RB 39713 7579 3 a a DT 39713 7579 4 difficulty difficulty NN 39713 7579 5 presents present VBZ 39713 7579 6 itself -PRON- PRP 39713 7579 7 . . . 39713 7580 1 Certain certain JJ 39713 7580 2 physicists physicist NNS 39713 7580 3 , , , 39713 7580 4 relying rely VBG 39713 7580 5 upon upon IN 39713 7580 6 other other JJ 39713 7580 7 considerations consideration NNS 39713 7580 8 , , , 39713 7580 9 reckon reckon VBP 39713 7580 10 that that IN 39713 7580 11 suns sun NNS 39713 7580 12 can can MD 39713 7580 13 have have VB 39713 7580 14 only only RB 39713 7580 15 an an DT 39713 7580 16 ephemeral ephemeral JJ 39713 7580 17 existence existence NN 39713 7580 18 , , , 39713 7580 19 about about RB 39713 7580 20 fifty fifty CD 39713 7580 21 million million CD 39713 7580 22 years year NNS 39713 7580 23 ; ; : 39713 7580 24 our -PRON- PRP$ 39713 7580 25 minimum minimum NN 39713 7580 26 would would MD 39713 7580 27 be be VB 39713 7580 28 much much RB 39713 7580 29 greater great JJR 39713 7580 30 than than IN 39713 7580 31 that that DT 39713 7580 32 . . . 39713 7581 1 Must Must MD 39713 7581 2 we -PRON- PRP 39713 7581 3 believe believe VB 39713 7581 4 that that IN 39713 7581 5 the the DT 39713 7581 6 evolution evolution NN 39713 7581 7 of of IN 39713 7581 8 the the DT 39713 7581 9 milky milky NNP 39713 7581 10 way way NN 39713 7581 11 began begin VBD 39713 7581 12 when when WRB 39713 7581 13 the the DT 39713 7581 14 matter matter NN 39713 7581 15 was be VBD 39713 7581 16 still still RB 39713 7581 17 dark dark JJ 39713 7581 18 ? ? . 39713 7582 1 But but CC 39713 7582 2 how how WRB 39713 7582 3 have have VBP 39713 7582 4 the the DT 39713 7582 5 stars star NNS 39713 7582 6 composing compose VBG 39713 7582 7 it -PRON- PRP 39713 7582 8 reached reach VBD 39713 7582 9 all all RB 39713 7582 10 at at IN 39713 7582 11 the the DT 39713 7582 12 same same JJ 39713 7582 13 time time NN 39713 7582 14 adult adult NN 39713 7582 15 age age NN 39713 7582 16 , , , 39713 7582 17 an an DT 39713 7582 18 age age NN 39713 7582 19 so so RB 39713 7582 20 briefly briefly RB 39713 7582 21 to to TO 39713 7582 22 endure endure VB 39713 7582 23 ? ? . 39713 7583 1 Or or CC 39713 7583 2 must must MD 39713 7583 3 they -PRON- PRP 39713 7583 4 reach reach VB 39713 7583 5 there there RB 39713 7583 6 all all DT 39713 7583 7 successively successively RB 39713 7583 8 , , , 39713 7583 9 and and CC 39713 7583 10 are be VBP 39713 7583 11 those those DT 39713 7583 12 we -PRON- PRP 39713 7583 13 see see VBP 39713 7583 14 only only RB 39713 7583 15 a a DT 39713 7583 16 feeble feeble JJ 39713 7583 17 minority minority NN 39713 7583 18 compared compare VBN 39713 7583 19 with with IN 39713 7583 20 those those DT 39713 7583 21 extinguished extinguish VBN 39713 7583 22 or or CC 39713 7583 23 which which WDT 39713 7583 24 shall shall MD 39713 7583 25 one one CD 39713 7583 26 day day NN 39713 7583 27 light light VB 39713 7583 28 up up RB 39713 7583 29 ? ? . 39713 7584 1 But but CC 39713 7584 2 how how WRB 39713 7584 3 reconcile reconcile JJ 39713 7584 4 that that DT 39713 7584 5 with with IN 39713 7584 6 what what WP 39713 7584 7 we -PRON- PRP 39713 7584 8 have have VBP 39713 7584 9 said say VBD 39713 7584 10 above above RB 39713 7584 11 on on IN 39713 7584 12 the the DT 39713 7584 13 absence absence NN 39713 7584 14 of of IN 39713 7584 15 a a DT 39713 7584 16 noteworthy noteworthy JJ 39713 7584 17 proportion proportion NN 39713 7584 18 of of IN 39713 7584 19 dark dark JJ 39713 7584 20 matter matter NN 39713 7584 21 ? ? . 39713 7585 1 Should Should MD 39713 7585 2 we -PRON- PRP 39713 7585 3 abandon abandon VB 39713 7585 4 one one CD 39713 7585 5 of of IN 39713 7585 6 the the DT 39713 7585 7 two two CD 39713 7585 8 hypotheses hypothesis NNS 39713 7585 9 , , , 39713 7585 10 and and CC 39713 7585 11 which which WDT 39713 7585 12 ? ? . 39713 7586 1 I -PRON- PRP 39713 7586 2 confine confine VBP 39713 7586 3 myself -PRON- PRP 39713 7586 4 to to IN 39713 7586 5 pointing point VBG 39713 7586 6 out out RP 39713 7586 7 the the DT 39713 7586 8 difficulty difficulty NN 39713 7586 9 without without IN 39713 7586 10 pretending pretend VBG 39713 7586 11 to to TO 39713 7586 12 solve solve VB 39713 7586 13 it -PRON- PRP 39713 7586 14 ; ; : 39713 7586 15 I -PRON- PRP 39713 7586 16 shall shall MD 39713 7586 17 end end VB 39713 7586 18 therefore therefore RB 39713 7586 19 with with IN 39713 7586 20 a a DT 39713 7586 21 big big JJ 39713 7586 22 interrogation interrogation NN 39713 7586 23 point point NN 39713 7586 24 . . . 39713 7587 1 However however RB 39713 7587 2 , , , 39713 7587 3 it -PRON- PRP 39713 7587 4 is be VBZ 39713 7587 5 interesting interesting JJ 39713 7587 6 to to TO 39713 7587 7 set set VB 39713 7587 8 problems problem NNS 39713 7587 9 , , , 39713 7587 10 even even RB 39713 7587 11 when when WRB 39713 7587 12 their -PRON- PRP$ 39713 7587 13 solution solution NN 39713 7587 14 seems seem VBZ 39713 7587 15 very very RB 39713 7587 16 far far RB 39713 7587 17 away away RB 39713 7587 18 . . . 39713 7588 1 CHAPTER CHAPTER NNP 39713 7588 2 II II NNP 39713 7588 3 FRENCH FRENCH NNP 39713 7588 4 GEODESY GEODESY NNP 39713 7588 5 Every every DT 39713 7588 6 one one NN 39713 7588 7 understands understand VBZ 39713 7588 8 our -PRON- PRP$ 39713 7588 9 interest interest NN 39713 7588 10 in in IN 39713 7588 11 knowing know VBG 39713 7588 12 the the DT 39713 7588 13 form form NN 39713 7588 14 and and CC 39713 7588 15 dimensions dimension NNS 39713 7588 16 of of IN 39713 7588 17 our -PRON- PRP$ 39713 7588 18 earth earth NN 39713 7588 19 ; ; : 39713 7588 20 but but CC 39713 7588 21 some some DT 39713 7588 22 persons person NNS 39713 7588 23 will will MD 39713 7588 24 perhaps perhaps RB 39713 7588 25 be be VB 39713 7588 26 surprised surprised JJ 39713 7588 27 at at IN 39713 7588 28 the the DT 39713 7588 29 exactitude exactitude NN 39713 7588 30 sought seek VBD 39713 7588 31 after after RB 39713 7588 32 . . . 39713 7589 1 Is be VBZ 39713 7589 2 this this DT 39713 7589 3 a a DT 39713 7589 4 useless useless JJ 39713 7589 5 luxury luxury NN 39713 7589 6 ? ? . 39713 7590 1 What what WP 39713 7590 2 good good NN 39713 7590 3 are be VBP 39713 7590 4 the the DT 39713 7590 5 efforts effort NNS 39713 7590 6 so so RB 39713 7590 7 expended expend VBN 39713 7590 8 by by IN 39713 7590 9 the the DT 39713 7590 10 geodesist geodesist NN 39713 7590 11 ? ? . 39713 7591 1 Should Should MD 39713 7591 2 this this DT 39713 7591 3 question question NN 39713 7591 4 be be VB 39713 7591 5 put put VBN 39713 7591 6 to to IN 39713 7591 7 a a DT 39713 7591 8 congressman congressman NN 39713 7591 9 , , , 39713 7591 10 I -PRON- PRP 39713 7591 11 suppose suppose VBP 39713 7591 12 he -PRON- PRP 39713 7591 13 would would MD 39713 7591 14 say say VB 39713 7591 15 : : : 39713 7591 16 " " `` 39713 7591 17 I -PRON- PRP 39713 7591 18 am be VBP 39713 7591 19 led lead VBN 39713 7591 20 to to TO 39713 7591 21 believe believe VB 39713 7591 22 that that IN 39713 7591 23 geodesy geodesy NN 39713 7591 24 is be VBZ 39713 7591 25 one one CD 39713 7591 26 of of IN 39713 7591 27 the the DT 39713 7591 28 most most RBS 39713 7591 29 useful useful JJ 39713 7591 30 of of IN 39713 7591 31 the the DT 39713 7591 32 sciences science NNS 39713 7591 33 ; ; : 39713 7591 34 because because IN 39713 7591 35 it -PRON- PRP 39713 7591 36 is be VBZ 39713 7591 37 one one CD 39713 7591 38 of of IN 39713 7591 39 those those DT 39713 7591 40 costing cost VBG 39713 7591 41 us -PRON- PRP 39713 7591 42 most most RBS 39713 7591 43 dear dear JJ 39713 7591 44 . . . 39713 7591 45 " " '' 39713 7592 1 I -PRON- PRP 39713 7592 2 shall shall MD 39713 7592 3 try try VB 39713 7592 4 to to TO 39713 7592 5 give give VB 39713 7592 6 you -PRON- PRP 39713 7592 7 an an DT 39713 7592 8 answer answer NN 39713 7592 9 a a DT 39713 7592 10 little little RB 39713 7592 11 more more RBR 39713 7592 12 precise precise JJ 39713 7592 13 . . . 39713 7593 1 The the DT 39713 7593 2 great great JJ 39713 7593 3 works work NNS 39713 7593 4 of of IN 39713 7593 5 art art NN 39713 7593 6 , , , 39713 7593 7 those those DT 39713 7593 8 of of IN 39713 7593 9 peace peace NN 39713 7593 10 as as RB 39713 7593 11 well well RB 39713 7593 12 as as IN 39713 7593 13 those those DT 39713 7593 14 of of IN 39713 7593 15 war war NN 39713 7593 16 , , , 39713 7593 17 are be VBP 39713 7593 18 not not RB 39713 7593 19 to to TO 39713 7593 20 be be VB 39713 7593 21 undertaken undertake VBN 39713 7593 22 without without IN 39713 7593 23 long long JJ 39713 7593 24 studies study NNS 39713 7593 25 which which WDT 39713 7593 26 save save VBP 39713 7593 27 much much JJ 39713 7593 28 groping groping NN 39713 7593 29 , , , 39713 7593 30 miscalculation miscalculation NN 39713 7593 31 and and CC 39713 7593 32 useless useless JJ 39713 7593 33 expense expense NN 39713 7593 34 . . . 39713 7594 1 These these DT 39713 7594 2 studies study NNS 39713 7594 3 can can MD 39713 7594 4 only only RB 39713 7594 5 be be VB 39713 7594 6 based base VBN 39713 7594 7 upon upon IN 39713 7594 8 a a DT 39713 7594 9 good good JJ 39713 7594 10 map map NN 39713 7594 11 . . . 39713 7595 1 But but CC 39713 7595 2 a a DT 39713 7595 3 map map NN 39713 7595 4 will will MD 39713 7595 5 be be VB 39713 7595 6 only only RB 39713 7595 7 a a DT 39713 7595 8 valueless valueless JJ 39713 7595 9 phantasy phantasy NN 39713 7595 10 if if IN 39713 7595 11 constructed construct VBN 39713 7595 12 without without IN 39713 7595 13 basing base VBG 39713 7595 14 it -PRON- PRP 39713 7595 15 upon upon IN 39713 7595 16 a a DT 39713 7595 17 solid solid JJ 39713 7595 18 framework framework NN 39713 7595 19 . . . 39713 7596 1 As as IN 39713 7596 2 well well RB 39713 7596 3 make make VB 39713 7596 4 stand stand VB 39713 7596 5 a a DT 39713 7596 6 human human JJ 39713 7596 7 body body NN 39713 7596 8 minus minus IN 39713 7596 9 the the DT 39713 7596 10 skeleton skeleton NN 39713 7596 11 . . . 39713 7597 1 Now now RB 39713 7597 2 , , , 39713 7597 3 this this DT 39713 7597 4 framework framework NN 39713 7597 5 is be VBZ 39713 7597 6 given give VBN 39713 7597 7 us -PRON- PRP 39713 7597 8 by by IN 39713 7597 9 geodesic geodesic NN 39713 7597 10 measurements measurement NNS 39713 7597 11 ; ; : 39713 7597 12 so so CC 39713 7597 13 , , , 39713 7597 14 without without IN 39713 7597 15 geodesy geodesy NN 39713 7597 16 , , , 39713 7597 17 no no DT 39713 7597 18 good good JJ 39713 7597 19 map map NN 39713 7597 20 ; ; : 39713 7597 21 without without IN 39713 7597 22 a a DT 39713 7597 23 good good JJ 39713 7597 24 map map NN 39713 7597 25 , , , 39713 7597 26 no no DT 39713 7597 27 great great JJ 39713 7597 28 public public JJ 39713 7597 29 works work NNS 39713 7597 30 . . . 39713 7598 1 These these DT 39713 7598 2 reasons reason NNS 39713 7598 3 will will MD 39713 7598 4 doubtless doubtless VB 39713 7598 5 suffice suffice VB 39713 7598 6 to to TO 39713 7598 7 justify justify VB 39713 7598 8 much much JJ 39713 7598 9 expense expense NN 39713 7598 10 ; ; : 39713 7598 11 but but CC 39713 7598 12 these these DT 39713 7598 13 are be VBP 39713 7598 14 arguments argument NNS 39713 7598 15 for for IN 39713 7598 16 practical practical JJ 39713 7598 17 men man NNS 39713 7598 18 . . . 39713 7599 1 It -PRON- PRP 39713 7599 2 is be VBZ 39713 7599 3 not not RB 39713 7599 4 upon upon IN 39713 7599 5 these these DT 39713 7599 6 that that IN 39713 7599 7 it -PRON- PRP 39713 7599 8 is be VBZ 39713 7599 9 proper proper JJ 39713 7599 10 to to TO 39713 7599 11 insist insist VB 39713 7599 12 here here RB 39713 7599 13 ; ; : 39713 7599 14 there there EX 39713 7599 15 are be VBP 39713 7599 16 others other NNS 39713 7599 17 higher high JJR 39713 7599 18 and and CC 39713 7599 19 , , , 39713 7599 20 everything everything NN 39713 7599 21 considered consider VBN 39713 7599 22 , , , 39713 7599 23 more more RBR 39713 7599 24 important important JJ 39713 7599 25 . . . 39713 7600 1 So so RB 39713 7600 2 we -PRON- PRP 39713 7600 3 shall shall MD 39713 7600 4 put put VB 39713 7600 5 the the DT 39713 7600 6 question question NN 39713 7600 7 otherwise otherwise RB 39713 7600 8 ; ; : 39713 7600 9 can can MD 39713 7600 10 geodesy geodesy VB 39713 7600 11 aid aid VB 39713 7600 12 us -PRON- PRP 39713 7600 13 the the DT 39713 7600 14 better well JJR 39713 7600 15 to to TO 39713 7600 16 know know VB 39713 7600 17 nature nature NN 39713 7600 18 ? ? . 39713 7601 1 Does do VBZ 39713 7601 2 it -PRON- PRP 39713 7601 3 make make VB 39713 7601 4 us -PRON- PRP 39713 7601 5 understand understand VB 39713 7601 6 its -PRON- PRP$ 39713 7601 7 unity unity NN 39713 7601 8 and and CC 39713 7601 9 harmony harmony NN 39713 7601 10 ? ? . 39713 7602 1 In in IN 39713 7602 2 reality reality NN 39713 7602 3 an an DT 39713 7602 4 isolated isolated JJ 39713 7602 5 fact fact NN 39713 7602 6 is be VBZ 39713 7602 7 of of IN 39713 7602 8 slight slight JJ 39713 7602 9 value value NN 39713 7602 10 , , , 39713 7602 11 and and CC 39713 7602 12 the the DT 39713 7602 13 conquests conquest NNS 39713 7602 14 of of IN 39713 7602 15 science science NN 39713 7602 16 are be VBP 39713 7602 17 precious precious JJ 39713 7602 18 only only RB 39713 7602 19 if if IN 39713 7602 20 they -PRON- PRP 39713 7602 21 prepare prepare VBP 39713 7602 22 for for IN 39713 7602 23 new new JJ 39713 7602 24 conquests conquest NNS 39713 7602 25 . . . 39713 7603 1 If if IN 39713 7603 2 therefore therefore RB 39713 7603 3 a a DT 39713 7603 4 little little JJ 39713 7603 5 hump hump NN 39713 7603 6 were be VBD 39713 7603 7 discovered discover VBN 39713 7603 8 on on IN 39713 7603 9 the the DT 39713 7603 10 terrestrial terrestrial JJ 39713 7603 11 ellipsoid ellipsoid NN 39713 7603 12 , , , 39713 7603 13 this this DT 39713 7603 14 discovery discovery NN 39713 7603 15 would would MD 39713 7603 16 be be VB 39713 7603 17 by by IN 39713 7603 18 itself -PRON- PRP 39713 7603 19 of of IN 39713 7603 20 no no DT 39713 7603 21 great great JJ 39713 7603 22 interest interest NN 39713 7603 23 . . . 39713 7604 1 On on IN 39713 7604 2 the the DT 39713 7604 3 other other JJ 39713 7604 4 hand hand NN 39713 7604 5 , , , 39713 7604 6 it -PRON- PRP 39713 7604 7 would would MD 39713 7604 8 become become VB 39713 7604 9 precious precious JJ 39713 7604 10 if if IN 39713 7604 11 , , , 39713 7604 12 in in IN 39713 7604 13 seeking seek VBG 39713 7604 14 the the DT 39713 7604 15 cause cause NN 39713 7604 16 of of IN 39713 7604 17 this this DT 39713 7604 18 hump hump NN 39713 7604 19 , , , 39713 7604 20 we -PRON- PRP 39713 7604 21 hoped hope VBD 39713 7604 22 to to TO 39713 7604 23 penetrate penetrate VB 39713 7604 24 new new JJ 39713 7604 25 secrets secret NNS 39713 7604 26 . . . 39713 7605 1 Well well UH 39713 7605 2 , , , 39713 7605 3 when when WRB 39713 7605 4 , , , 39713 7605 5 in in IN 39713 7605 6 the the DT 39713 7605 7 eighteenth eighteenth JJ 39713 7605 8 century century NN 39713 7605 9 , , , 39713 7605 10 Maupertuis Maupertuis NNP 39713 7605 11 and and CC 39713 7605 12 La La NNP 39713 7605 13 Condamine Condamine NNP 39713 7605 14 braved brave VBD 39713 7605 15 such such JJ 39713 7605 16 opposite opposite JJ 39713 7605 17 climates climate NNS 39713 7605 18 , , , 39713 7605 19 it -PRON- PRP 39713 7605 20 was be VBD 39713 7605 21 not not RB 39713 7605 22 solely solely RB 39713 7605 23 to to TO 39713 7605 24 learn learn VB 39713 7605 25 the the DT 39713 7605 26 shape shape NN 39713 7605 27 of of IN 39713 7605 28 our -PRON- PRP$ 39713 7605 29 planet planet NN 39713 7605 30 , , , 39713 7605 31 it -PRON- PRP 39713 7605 32 was be VBD 39713 7605 33 a a DT 39713 7605 34 question question NN 39713 7605 35 of of IN 39713 7605 36 the the DT 39713 7605 37 whole whole JJ 39713 7605 38 world world NN 39713 7605 39 - - HYPH 39713 7605 40 system system NN 39713 7605 41 . . . 39713 7606 1 If if IN 39713 7606 2 the the DT 39713 7606 3 earth earth NN 39713 7606 4 was be VBD 39713 7606 5 flattened flatten VBN 39713 7606 6 , , , 39713 7606 7 Newton Newton NNP 39713 7606 8 triumphed triumph VBD 39713 7606 9 and and CC 39713 7606 10 with with IN 39713 7606 11 him -PRON- PRP 39713 7606 12 the the DT 39713 7606 13 doctrine doctrine NN 39713 7606 14 of of IN 39713 7606 15 gravitation gravitation NN 39713 7606 16 and and CC 39713 7606 17 the the DT 39713 7606 18 whole whole JJ 39713 7606 19 modern modern JJ 39713 7606 20 celestial celestial JJ 39713 7606 21 mechanics mechanic NNS 39713 7606 22 . . . 39713 7607 1 And and CC 39713 7607 2 to to IN 39713 7607 3 - - HYPH 39713 7607 4 day day NN 39713 7607 5 , , , 39713 7607 6 a a DT 39713 7607 7 century century NN 39713 7607 8 and and CC 39713 7607 9 a a DT 39713 7607 10 half half NN 39713 7607 11 after after IN 39713 7607 12 the the DT 39713 7607 13 victory victory NN 39713 7607 14 of of IN 39713 7607 15 the the DT 39713 7607 16 Newtonians Newtonians NNPS 39713 7607 17 , , , 39713 7607 18 think think VBP 39713 7607 19 you -PRON- PRP 39713 7607 20 geodesy geodesy RB 39713 7607 21 has have VBZ 39713 7607 22 nothing nothing NN 39713 7607 23 more more JJR 39713 7607 24 to to TO 39713 7607 25 teach teach VB 39713 7607 26 us -PRON- PRP 39713 7607 27 ? ? . 39713 7608 1 We -PRON- PRP 39713 7608 2 know know VBP 39713 7608 3 not not RB 39713 7608 4 what what WP 39713 7608 5 is be VBZ 39713 7608 6 within within IN 39713 7608 7 our -PRON- PRP$ 39713 7608 8 globe globe NN 39713 7608 9 . . . 39713 7609 1 The the DT 39713 7609 2 shafts shaft NNS 39713 7609 3 of of IN 39713 7609 4 mines mine NNS 39713 7609 5 and and CC 39713 7609 6 borings boring NNS 39713 7609 7 have have VBP 39713 7609 8 let let VBN 39713 7609 9 us -PRON- PRP 39713 7609 10 know know VB 39713 7609 11 a a DT 39713 7609 12 layer layer NN 39713 7609 13 of of IN 39713 7609 14 1 1 CD 39713 7609 15 or or CC 39713 7609 16 2 2 CD 39713 7609 17 kilometers kilometer NNS 39713 7609 18 thickness thickness NN 39713 7609 19 , , , 39713 7609 20 that that DT 39713 7609 21 is be VBZ 39713 7609 22 to to TO 39713 7609 23 say say VB 39713 7609 24 , , , 39713 7609 25 the the DT 39713 7609 26 millionth millionth JJ 39713 7609 27 part part NN 39713 7609 28 of of IN 39713 7609 29 the the DT 39713 7609 30 total total JJ 39713 7609 31 mass mass NN 39713 7609 32 ; ; : 39713 7609 33 but but CC 39713 7609 34 what what WP 39713 7609 35 is be VBZ 39713 7609 36 beneath beneath JJ 39713 7609 37 ? ? . 39713 7610 1 Of of IN 39713 7610 2 all all PDT 39713 7610 3 the the DT 39713 7610 4 extraordinary extraordinary JJ 39713 7610 5 journeys journey NNS 39713 7610 6 dreamed dream VBN 39713 7610 7 by by IN 39713 7610 8 Jules Jules NNP 39713 7610 9 Verne Verne NNP 39713 7610 10 , , , 39713 7610 11 perhaps perhaps RB 39713 7610 12 that that DT 39713 7610 13 to to IN 39713 7610 14 the the DT 39713 7610 15 center center NN 39713 7610 16 of of IN 39713 7610 17 the the DT 39713 7610 18 earth earth NN 39713 7610 19 took take VBD 39713 7610 20 us -PRON- PRP 39713 7610 21 to to IN 39713 7610 22 regions region NNS 39713 7610 23 least least RBS 39713 7610 24 explored explore VBN 39713 7610 25 . . . 39713 7611 1 But but CC 39713 7611 2 these these DT 39713 7611 3 deep deep RB 39713 7611 4 - - HYPH 39713 7611 5 lying lie VBG 39713 7611 6 rocks rock NNS 39713 7611 7 we -PRON- PRP 39713 7611 8 can can MD 39713 7611 9 not not RB 39713 7611 10 reach reach VB 39713 7611 11 , , , 39713 7611 12 exercise exercise NN 39713 7611 13 from from IN 39713 7611 14 afar afar RB 39713 7611 15 their -PRON- PRP$ 39713 7611 16 attraction attraction NN 39713 7611 17 which which WDT 39713 7611 18 operates operate VBZ 39713 7611 19 upon upon IN 39713 7611 20 the the DT 39713 7611 21 pendulum pendulum NN 39713 7611 22 and and CC 39713 7611 23 deforms deform VBZ 39713 7611 24 the the DT 39713 7611 25 terrestrial terrestrial JJ 39713 7611 26 spheroid spheroid NN 39713 7611 27 . . . 39713 7612 1 Geodesy Geodesy NNP 39713 7612 2 can can MD 39713 7612 3 therefore therefore RB 39713 7612 4 weigh weigh VB 39713 7612 5 them -PRON- PRP 39713 7612 6 from from IN 39713 7612 7 afar afar RB 39713 7612 8 , , , 39713 7612 9 so so RB 39713 7612 10 to to TO 39713 7612 11 speak speak VB 39713 7612 12 , , , 39713 7612 13 and and CC 39713 7612 14 tell tell VB 39713 7612 15 us -PRON- PRP 39713 7612 16 of of IN 39713 7612 17 their -PRON- PRP$ 39713 7612 18 distribution distribution NN 39713 7612 19 . . . 39713 7613 1 Thus thus RB 39713 7613 2 will will MD 39713 7613 3 it -PRON- PRP 39713 7613 4 make make VB 39713 7613 5 us -PRON- PRP 39713 7613 6 really really RB 39713 7613 7 see see VB 39713 7613 8 those those DT 39713 7613 9 mysterious mysterious JJ 39713 7613 10 regions region NNS 39713 7613 11 which which WDT 39713 7613 12 Jules Jules NNP 39713 7613 13 Verne Verne NNP 39713 7613 14 only only RB 39713 7613 15 showed show VBD 39713 7613 16 us -PRON- PRP 39713 7613 17 in in IN 39713 7613 18 imagination imagination NN 39713 7613 19 . . . 39713 7614 1 This this DT 39713 7614 2 is be VBZ 39713 7614 3 not not RB 39713 7614 4 an an DT 39713 7614 5 empty empty JJ 39713 7614 6 illusion illusion NN 39713 7614 7 . . . 39713 7615 1 M. M. NNP 39713 7615 2 Faye Faye NNP 39713 7615 3 , , , 39713 7615 4 comparing compare VBG 39713 7615 5 all all PDT 39713 7615 6 the the DT 39713 7615 7 measurements measurement NNS 39713 7615 8 , , , 39713 7615 9 has have VBZ 39713 7615 10 reached reach VBN 39713 7615 11 a a DT 39713 7615 12 result result NN 39713 7615 13 well well RB 39713 7615 14 calculated calculate VBN 39713 7615 15 to to TO 39713 7615 16 surprise surprise VB 39713 7615 17 us -PRON- PRP 39713 7615 18 . . . 39713 7616 1 Under under IN 39713 7616 2 the the DT 39713 7616 3 oceans ocean NNS 39713 7616 4 , , , 39713 7616 5 in in IN 39713 7616 6 the the DT 39713 7616 7 depths depth NNS 39713 7616 8 , , , 39713 7616 9 are be VBP 39713 7616 10 rocks rock NNS 39713 7616 11 of of IN 39713 7616 12 very very RB 39713 7616 13 great great JJ 39713 7616 14 density density NN 39713 7616 15 ; ; : 39713 7616 16 under under IN 39713 7616 17 the the DT 39713 7616 18 continents continent NNS 39713 7616 19 , , , 39713 7616 20 on on IN 39713 7616 21 the the DT 39713 7616 22 contrary contrary NN 39713 7616 23 , , , 39713 7616 24 are be VBP 39713 7616 25 empty empty JJ 39713 7616 26 spaces space NNS 39713 7616 27 . . . 39713 7617 1 New new JJ 39713 7617 2 observations observation NNS 39713 7617 3 will will MD 39713 7617 4 modify modify VB 39713 7617 5 perhaps perhaps RB 39713 7617 6 the the DT 39713 7617 7 details detail NNS 39713 7617 8 of of IN 39713 7617 9 these these DT 39713 7617 10 conclusions conclusion NNS 39713 7617 11 . . . 39713 7618 1 In in IN 39713 7618 2 any any DT 39713 7618 3 case case NN 39713 7618 4 , , , 39713 7618 5 our -PRON- PRP$ 39713 7618 6 venerated venerate VBN 39713 7618 7 dean dean NN 39713 7618 8 has have VBZ 39713 7618 9 shown show VBN 39713 7618 10 us -PRON- PRP 39713 7618 11 where where WRB 39713 7618 12 to to TO 39713 7618 13 search search VB 39713 7618 14 and and CC 39713 7618 15 what what WP 39713 7618 16 the the DT 39713 7618 17 geodesist geodesist NN 39713 7618 18 may may MD 39713 7618 19 teach teach VB 39713 7618 20 the the DT 39713 7618 21 geologist geologist NN 39713 7618 22 , , , 39713 7618 23 desirous desirous JJ 39713 7618 24 of of IN 39713 7618 25 knowing know VBG 39713 7618 26 the the DT 39713 7618 27 interior interior JJ 39713 7618 28 constitution constitution NN 39713 7618 29 of of IN 39713 7618 30 the the DT 39713 7618 31 earth earth NN 39713 7618 32 , , , 39713 7618 33 and and CC 39713 7618 34 even even RB 39713 7618 35 the the DT 39713 7618 36 thinker thinker NN 39713 7618 37 wishing wish VBG 39713 7618 38 to to TO 39713 7618 39 speculate speculate VB 39713 7618 40 upon upon IN 39713 7618 41 the the DT 39713 7618 42 past past NN 39713 7618 43 and and CC 39713 7618 44 the the DT 39713 7618 45 origin origin NN 39713 7618 46 of of IN 39713 7618 47 this this DT 39713 7618 48 planet planet NN 39713 7618 49 . . . 39713 7619 1 And and CC 39713 7619 2 now now RB 39713 7619 3 , , , 39713 7619 4 why why WRB 39713 7619 5 have have VBP 39713 7619 6 I -PRON- PRP 39713 7619 7 entitled entitle VBN 39713 7619 8 this this DT 39713 7619 9 chapter chapter NN 39713 7619 10 _ _ NNP 39713 7619 11 French French NNP 39713 7619 12 Geodesy Geodesy NNP 39713 7619 13 _ _ NNP 39713 7619 14 ? ? . 39713 7620 1 It -PRON- PRP 39713 7620 2 is be VBZ 39713 7620 3 because because IN 39713 7620 4 , , , 39713 7620 5 in in IN 39713 7620 6 each each DT 39713 7620 7 country country NN 39713 7620 8 , , , 39713 7620 9 this this DT 39713 7620 10 science science NN 39713 7620 11 has have VBZ 39713 7620 12 taken take VBN 39713 7620 13 , , , 39713 7620 14 more more JJR 39713 7620 15 than than IN 39713 7620 16 all all DT 39713 7620 17 others other NNS 39713 7620 18 , , , 39713 7620 19 perhaps perhaps RB 39713 7620 20 , , , 39713 7620 21 a a DT 39713 7620 22 national national JJ 39713 7620 23 character character NN 39713 7620 24 . . . 39713 7621 1 It -PRON- PRP 39713 7621 2 is be VBZ 39713 7621 3 easy easy JJ 39713 7621 4 to to TO 39713 7621 5 see see VB 39713 7621 6 why why WRB 39713 7621 7 . . . 39713 7622 1 There there EX 39713 7622 2 must must MD 39713 7622 3 be be VB 39713 7622 4 rivalry rivalry VBN 39713 7622 5 . . . 39713 7623 1 The the DT 39713 7623 2 scientific scientific JJ 39713 7623 3 rivalries rivalry NNS 39713 7623 4 are be VBP 39713 7623 5 always always RB 39713 7623 6 courteous courteous JJ 39713 7623 7 , , , 39713 7623 8 or or CC 39713 7623 9 at at IN 39713 7623 10 least least JJS 39713 7623 11 almost almost RB 39713 7623 12 always always RB 39713 7623 13 ; ; : 39713 7623 14 in in IN 39713 7623 15 any any DT 39713 7623 16 case case NN 39713 7623 17 , , , 39713 7623 18 they -PRON- PRP 39713 7623 19 are be VBP 39713 7623 20 necessary necessary JJ 39713 7623 21 , , , 39713 7623 22 because because IN 39713 7623 23 they -PRON- PRP 39713 7623 24 are be VBP 39713 7623 25 always always RB 39713 7623 26 fruitful fruitful JJ 39713 7623 27 . . . 39713 7624 1 Well well UH 39713 7624 2 , , , 39713 7624 3 in in IN 39713 7624 4 those those DT 39713 7624 5 enterprises enterprise NNS 39713 7624 6 which which WDT 39713 7624 7 require require VBP 39713 7624 8 such such JJ 39713 7624 9 long long JJ 39713 7624 10 efforts effort NNS 39713 7624 11 and and CC 39713 7624 12 so so RB 39713 7624 13 many many JJ 39713 7624 14 collaborators collaborator NNS 39713 7624 15 , , , 39713 7624 16 the the DT 39713 7624 17 individual individual NN 39713 7624 18 is be VBZ 39713 7624 19 effaced efface VBN 39713 7624 20 , , , 39713 7624 21 in in IN 39713 7624 22 spite spite NN 39713 7624 23 of of IN 39713 7624 24 himself -PRON- PRP 39713 7624 25 , , , 39713 7624 26 of of IN 39713 7624 27 course course NN 39713 7624 28 ; ; : 39713 7624 29 no no DT 39713 7624 30 one one NN 39713 7624 31 has have VBZ 39713 7624 32 the the DT 39713 7624 33 right right NN 39713 7624 34 to to TO 39713 7624 35 say say VB 39713 7624 36 : : : 39713 7624 37 this this DT 39713 7624 38 is be VBZ 39713 7624 39 my -PRON- PRP$ 39713 7624 40 work work NN 39713 7624 41 . . . 39713 7625 1 Therefore therefore RB 39713 7625 2 it -PRON- PRP 39713 7625 3 is be VBZ 39713 7625 4 not not RB 39713 7625 5 between between IN 39713 7625 6 men man NNS 39713 7625 7 , , , 39713 7625 8 but but CC 39713 7625 9 between between IN 39713 7625 10 nations nation NNS 39713 7625 11 that that WDT 39713 7625 12 rivalries rivalry NNS 39713 7625 13 go go VBP 39713 7625 14 on on RP 39713 7625 15 . . . 39713 7626 1 So so RB 39713 7626 2 we -PRON- PRP 39713 7626 3 are be VBP 39713 7626 4 led lead VBN 39713 7626 5 to to TO 39713 7626 6 seek seek VB 39713 7626 7 what what WP 39713 7626 8 has have VBZ 39713 7626 9 been be VBN 39713 7626 10 the the DT 39713 7626 11 part part NN 39713 7626 12 of of IN 39713 7626 13 France France NNP 39713 7626 14 . . . 39713 7627 1 Her -PRON- PRP$ 39713 7627 2 part part NN 39713 7627 3 I -PRON- PRP 39713 7627 4 believe believe VBP 39713 7627 5 we -PRON- PRP 39713 7627 6 are be VBP 39713 7627 7 right right JJ 39713 7627 8 to to TO 39713 7627 9 be be VB 39713 7627 10 proud proud JJ 39713 7627 11 of of IN 39713 7627 12 . . . 39713 7628 1 At at IN 39713 7628 2 the the DT 39713 7628 3 beginning beginning NN 39713 7628 4 of of IN 39713 7628 5 the the DT 39713 7628 6 eighteenth eighteenth JJ 39713 7628 7 century century NN 39713 7628 8 , , , 39713 7628 9 long long JJ 39713 7628 10 discussions discussion NNS 39713 7628 11 arose arise VBD 39713 7628 12 between between IN 39713 7628 13 the the DT 39713 7628 14 Newtonians Newtonians NNPS 39713 7628 15 who who WP 39713 7628 16 believed believe VBD 39713 7628 17 the the DT 39713 7628 18 earth earth NN 39713 7628 19 flattened flatten VBD 39713 7628 20 , , , 39713 7628 21 as as IN 39713 7628 22 the the DT 39713 7628 23 theory theory NN 39713 7628 24 of of IN 39713 7628 25 gravitation gravitation NN 39713 7628 26 requires require VBZ 39713 7628 27 , , , 39713 7628 28 and and CC 39713 7628 29 Cassini Cassini NNP 39713 7628 30 , , , 39713 7628 31 who who WP 39713 7628 32 , , , 39713 7628 33 deceived deceive VBN 39713 7628 34 by by IN 39713 7628 35 inexact inexact NN 39713 7628 36 measurements measurement NNS 39713 7628 37 , , , 39713 7628 38 believed believe VBD 39713 7628 39 our -PRON- PRP$ 39713 7628 40 globe globe NN 39713 7628 41 elongated elongate VBD 39713 7628 42 . . . 39713 7629 1 Only only RB 39713 7629 2 direct direct JJ 39713 7629 3 observation observation NN 39713 7629 4 could could MD 39713 7629 5 settle settle VB 39713 7629 6 the the DT 39713 7629 7 question question NN 39713 7629 8 . . . 39713 7630 1 It -PRON- PRP 39713 7630 2 was be VBD 39713 7630 3 our -PRON- PRP$ 39713 7630 4 Academy Academy NNP 39713 7630 5 of of IN 39713 7630 6 Sciences Sciences NNPS 39713 7630 7 that that WDT 39713 7630 8 undertook undertake VBD 39713 7630 9 this this DT 39713 7630 10 task task NN 39713 7630 11 , , , 39713 7630 12 gigantic gigantic JJ 39713 7630 13 for for IN 39713 7630 14 the the DT 39713 7630 15 epoch epoch NN 39713 7630 16 . . . 39713 7631 1 While while IN 39713 7631 2 Maupertuis Maupertuis NNP 39713 7631 3 and and CC 39713 7631 4 Clairaut Clairaut NNP 39713 7631 5 measured measure VBD 39713 7631 6 a a DT 39713 7631 7 degree degree NN 39713 7631 8 of of IN 39713 7631 9 meridian meridian NNP 39713 7631 10 under under IN 39713 7631 11 the the DT 39713 7631 12 polar polar JJ 39713 7631 13 circle circle NN 39713 7631 14 , , , 39713 7631 15 Bouguer Bouguer NNP 39713 7631 16 and and CC 39713 7631 17 La La NNP 39713 7631 18 Condamine Condamine NNP 39713 7631 19 went go VBD 39713 7631 20 toward toward IN 39713 7631 21 the the DT 39713 7631 22 Andes Andes NNP 39713 7631 23 Mountains Mountains NNPS 39713 7631 24 , , , 39713 7631 25 in in IN 39713 7631 26 regions region NNS 39713 7631 27 then then RB 39713 7631 28 under under IN 39713 7631 29 Spain Spain NNP 39713 7631 30 which which WDT 39713 7631 31 to to IN 39713 7631 32 - - HYPH 39713 7631 33 day day NN 39713 7631 34 are be VBP 39713 7631 35 the the DT 39713 7631 36 Republic Republic NNP 39713 7631 37 of of IN 39713 7631 38 Ecuador Ecuador NNP 39713 7631 39 . . . 39713 7632 1 Our -PRON- PRP$ 39713 7632 2 envoys envoy NNS 39713 7632 3 were be VBD 39713 7632 4 exposed expose VBN 39713 7632 5 to to IN 39713 7632 6 great great JJ 39713 7632 7 hardships hardship NNS 39713 7632 8 . . . 39713 7633 1 Traveling travel VBG 39713 7633 2 was be VBD 39713 7633 3 not not RB 39713 7633 4 as as RB 39713 7633 5 easy easy JJ 39713 7633 6 as as IN 39713 7633 7 at at IN 39713 7633 8 present present NN 39713 7633 9 . . . 39713 7634 1 Truly truly RB 39713 7634 2 , , , 39713 7634 3 the the DT 39713 7634 4 country country NN 39713 7634 5 where where WRB 39713 7634 6 Maupertuis Maupertuis NNP 39713 7634 7 operated operate VBD 39713 7634 8 was be VBD 39713 7634 9 not not RB 39713 7634 10 a a DT 39713 7634 11 desert desert NN 39713 7634 12 and and CC 39713 7634 13 he -PRON- PRP 39713 7634 14 even even RB 39713 7634 15 enjoyed enjoy VBD 39713 7634 16 , , , 39713 7634 17 it -PRON- PRP 39713 7634 18 is be VBZ 39713 7634 19 said say VBN 39713 7634 20 , , , 39713 7634 21 among among IN 39713 7634 22 the the DT 39713 7634 23 Laplanders laplander NNS 39713 7634 24 those those DT 39713 7634 25 sweet sweet JJ 39713 7634 26 satisfactions satisfaction NNS 39713 7634 27 of of IN 39713 7634 28 the the DT 39713 7634 29 heart heart NN 39713 7634 30 that that IN 39713 7634 31 real real JJ 39713 7634 32 arctic arctic JJ 39713 7634 33 voyagers voyager NNS 39713 7634 34 never never RB 39713 7634 35 know know VBP 39713 7634 36 . . . 39713 7635 1 It -PRON- PRP 39713 7635 2 was be VBD 39713 7635 3 almost almost RB 39713 7635 4 the the DT 39713 7635 5 region region NN 39713 7635 6 where where WRB 39713 7635 7 , , , 39713 7635 8 in in IN 39713 7635 9 our -PRON- PRP$ 39713 7635 10 days day NNS 39713 7635 11 , , , 39713 7635 12 comfortable comfortable JJ 39713 7635 13 steamers steamer NNS 39713 7635 14 carry carry VBP 39713 7635 15 , , , 39713 7635 16 each each DT 39713 7635 17 summer summer NN 39713 7635 18 , , , 39713 7635 19 hosts host NNS 39713 7635 20 of of IN 39713 7635 21 tourists tourist NNS 39713 7635 22 and and CC 39713 7635 23 young young JJ 39713 7635 24 English english JJ 39713 7635 25 people people NNS 39713 7635 26 . . . 39713 7636 1 But but CC 39713 7636 2 in in IN 39713 7636 3 those those DT 39713 7636 4 days day NNS 39713 7636 5 Cook Cook NNP 39713 7636 6 's 's POS 39713 7636 7 agency agency NN 39713 7636 8 did do VBD 39713 7636 9 not not RB 39713 7636 10 exist exist VB 39713 7636 11 and and CC 39713 7636 12 Maupertuis Maupertuis NNP 39713 7636 13 really really RB 39713 7636 14 believed believe VBD 39713 7636 15 he -PRON- PRP 39713 7636 16 had have VBD 39713 7636 17 made make VBN 39713 7636 18 a a DT 39713 7636 19 polar polar JJ 39713 7636 20 expedition expedition NN 39713 7636 21 . . . 39713 7637 1 Perhaps perhaps RB 39713 7637 2 he -PRON- PRP 39713 7637 3 was be VBD 39713 7637 4 not not RB 39713 7637 5 altogether altogether RB 39713 7637 6 wrong wrong JJ 39713 7637 7 . . . 39713 7638 1 The the DT 39713 7638 2 Russians Russians NNPS 39713 7638 3 and and CC 39713 7638 4 the the DT 39713 7638 5 Swedes Swedes NNPS 39713 7638 6 carry carry VBP 39713 7638 7 out out RP 39713 7638 8 to to IN 39713 7638 9 - - HYPH 39713 7638 10 day day NN 39713 7638 11 analogous analogous JJ 39713 7638 12 measurements measurement NNS 39713 7638 13 at at IN 39713 7638 14 Spitzbergen Spitzbergen NNP 39713 7638 15 , , , 39713 7638 16 in in IN 39713 7638 17 a a DT 39713 7638 18 country country NN 39713 7638 19 where where WRB 39713 7638 20 there there EX 39713 7638 21 is be VBZ 39713 7638 22 real real JJ 39713 7638 23 ice ice NN 39713 7638 24 - - HYPH 39713 7638 25 cap cap NN 39713 7638 26 . . . 39713 7639 1 But but CC 39713 7639 2 they -PRON- PRP 39713 7639 3 have have VBP 39713 7639 4 quite quite RB 39713 7639 5 other other JJ 39713 7639 6 resources resource NNS 39713 7639 7 , , , 39713 7639 8 and and CC 39713 7639 9 the the DT 39713 7639 10 difference difference NN 39713 7639 11 of of IN 39713 7639 12 time time NN 39713 7639 13 makes make VBZ 39713 7639 14 up up RP 39713 7639 15 for for IN 39713 7639 16 that that DT 39713 7639 17 of of IN 39713 7639 18 latitude latitude NN 39713 7639 19 . . . 39713 7640 1 The the DT 39713 7640 2 name name NN 39713 7640 3 of of IN 39713 7640 4 Maupertuis Maupertuis NNP 39713 7640 5 has have VBZ 39713 7640 6 reached reach VBN 39713 7640 7 us -PRON- PRP 39713 7640 8 much much RB 39713 7640 9 scratched scratch VBN 39713 7640 10 by by IN 39713 7640 11 the the DT 39713 7640 12 claws claws NN 39713 7640 13 of of IN 39713 7640 14 Doctor Doctor NNP 39713 7640 15 Akakia Akakia NNP 39713 7640 16 ; ; : 39713 7640 17 the the DT 39713 7640 18 scientist scientist NN 39713 7640 19 had have VBD 39713 7640 20 the the DT 39713 7640 21 misfortune misfortune NN 39713 7640 22 to to TO 39713 7640 23 displease displease VB 39713 7640 24 Voltaire Voltaire NNP 39713 7640 25 , , , 39713 7640 26 who who WP 39713 7640 27 was be VBD 39713 7640 28 then then RB 39713 7640 29 the the DT 39713 7640 30 king king NN 39713 7640 31 of of IN 39713 7640 32 mind mind NN 39713 7640 33 . . . 39713 7641 1 He -PRON- PRP 39713 7641 2 was be VBD 39713 7641 3 first first RB 39713 7641 4 praised praise VBN 39713 7641 5 beyond beyond IN 39713 7641 6 measure measure NN 39713 7641 7 ; ; : 39713 7641 8 but but CC 39713 7641 9 the the DT 39713 7641 10 flatteries flattery NNS 39713 7641 11 of of IN 39713 7641 12 kings king NNS 39713 7641 13 are be VBP 39713 7641 14 as as RB 39713 7641 15 much much JJ 39713 7641 16 to to TO 39713 7641 17 be be VB 39713 7641 18 dreaded dread VBN 39713 7641 19 as as IN 39713 7641 20 their -PRON- PRP$ 39713 7641 21 displeasure displeasure NN 39713 7641 22 , , , 39713 7641 23 because because IN 39713 7641 24 the the DT 39713 7641 25 days day NNS 39713 7641 26 after after RB 39713 7641 27 are be VBP 39713 7641 28 terrible terrible JJ 39713 7641 29 . . . 39713 7642 1 Voltaire Voltaire NNP 39713 7642 2 himself -PRON- PRP 39713 7642 3 knew know VBD 39713 7642 4 something something NN 39713 7642 5 of of IN 39713 7642 6 this this DT 39713 7642 7 . . . 39713 7643 1 Voltaire Voltaire NNP 39713 7643 2 called call VBN 39713 7643 3 Maupertuis Maupertuis NNP 39713 7643 4 , , , 39713 7643 5 my -PRON- PRP$ 39713 7643 6 amiable amiable JJ 39713 7643 7 master master NN 39713 7643 8 in in IN 39713 7643 9 thinking thinking NN 39713 7643 10 , , , 39713 7643 11 marquis marquis NN 39713 7643 12 of of IN 39713 7643 13 the the DT 39713 7643 14 polar polar JJ 39713 7643 15 circle circle NN 39713 7643 16 , , , 39713 7643 17 dear dear JJ 39713 7643 18 flattener flattener NN 39713 7643 19 out out IN 39713 7643 20 of of IN 39713 7643 21 the the DT 39713 7643 22 world world NN 39713 7643 23 and and CC 39713 7643 24 Cassini Cassini NNP 39713 7643 25 , , , 39713 7643 26 and and CC 39713 7643 27 even even RB 39713 7643 28 , , , 39713 7643 29 flattery flattery JJ 39713 7643 30 supreme supreme NN 39713 7643 31 , , , 39713 7643 32 Sir Sir NNP 39713 7643 33 Isaac Isaac NNP 39713 7643 34 Maupertuis Maupertuis NNP 39713 7643 35 ; ; : 39713 7643 36 he -PRON- PRP 39713 7643 37 wrote write VBD 39713 7643 38 him -PRON- PRP 39713 7643 39 : : : 39713 7643 40 " " `` 39713 7643 41 Only only RB 39713 7643 42 the the DT 39713 7643 43 king king NN 39713 7643 44 of of IN 39713 7643 45 Prussia Prussia NNP 39713 7643 46 do do VBP 39713 7643 47 I -PRON- PRP 39713 7643 48 put put VB 39713 7643 49 on on RP 39713 7643 50 a a DT 39713 7643 51 level level NN 39713 7643 52 with with IN 39713 7643 53 you -PRON- PRP 39713 7643 54 ; ; : 39713 7643 55 he -PRON- PRP 39713 7643 56 only only RB 39713 7643 57 lacks lack VBZ 39713 7643 58 being be VBG 39713 7643 59 a a DT 39713 7643 60 geometer geometer NN 39713 7643 61 . . . 39713 7643 62 " " '' 39713 7644 1 But but CC 39713 7644 2 soon soon RB 39713 7644 3 the the DT 39713 7644 4 scene scene NN 39713 7644 5 changes change VBZ 39713 7644 6 , , , 39713 7644 7 he -PRON- PRP 39713 7644 8 no no RB 39713 7644 9 longer long RBR 39713 7644 10 speaks speak VBZ 39713 7644 11 of of IN 39713 7644 12 deifying deify VBG 39713 7644 13 him -PRON- PRP 39713 7644 14 , , , 39713 7644 15 as as IN 39713 7644 16 in in IN 39713 7644 17 days day NNS 39713 7644 18 of of IN 39713 7644 19 yore yore NN 39713 7644 20 the the DT 39713 7644 21 Argonauts argonaut NNS 39713 7644 22 , , , 39713 7644 23 or or CC 39713 7644 24 of of IN 39713 7644 25 calling call VBG 39713 7644 26 down down RP 39713 7644 27 from from IN 39713 7644 28 Olympus Olympus NNP 39713 7644 29 the the DT 39713 7644 30 council council NN 39713 7644 31 of of IN 39713 7644 32 the the DT 39713 7644 33 gods god NNS 39713 7644 34 to to TO 39713 7644 35 contemplate contemplate VB 39713 7644 36 his -PRON- PRP$ 39713 7644 37 works work NNS 39713 7644 38 , , , 39713 7644 39 but but CC 39713 7644 40 of of IN 39713 7644 41 chaining chain VBG 39713 7644 42 him -PRON- PRP 39713 7644 43 up up RP 39713 7644 44 in in IN 39713 7644 45 a a DT 39713 7644 46 madhouse madhouse NN 39713 7644 47 . . . 39713 7645 1 He -PRON- PRP 39713 7645 2 speaks speak VBZ 39713 7645 3 no no RB 39713 7645 4 longer long RBR 39713 7645 5 of of IN 39713 7645 6 his -PRON- PRP$ 39713 7645 7 sublime sublime JJ 39713 7645 8 mind mind NN 39713 7645 9 , , , 39713 7645 10 but but CC 39713 7645 11 of of IN 39713 7645 12 his -PRON- PRP$ 39713 7645 13 despotic despotic JJ 39713 7645 14 pride pride NN 39713 7645 15 , , , 39713 7645 16 plated plate VBN 39713 7645 17 with with IN 39713 7645 18 very very RB 39713 7645 19 little little JJ 39713 7645 20 science science NN 39713 7645 21 and and CC 39713 7645 22 much much JJ 39713 7645 23 absurdity absurdity NN 39713 7645 24 . . . 39713 7646 1 I -PRON- PRP 39713 7646 2 care care VBP 39713 7646 3 not not RB 39713 7646 4 to to TO 39713 7646 5 relate relate VB 39713 7646 6 these these DT 39713 7646 7 comico comico NN 39713 7646 8 - - HYPH 39713 7646 9 heroic heroic JJ 39713 7646 10 combats combat NNS 39713 7646 11 ; ; : 39713 7646 12 but but CC 39713 7646 13 permit permit VB 39713 7646 14 me -PRON- PRP 39713 7646 15 some some DT 39713 7646 16 reflections reflection NNS 39713 7646 17 on on IN 39713 7646 18 two two CD 39713 7646 19 of of IN 39713 7646 20 Voltaire Voltaire NNP 39713 7646 21 's 's POS 39713 7646 22 verses verse NNS 39713 7646 23 . . . 39713 7647 1 In in IN 39713 7647 2 his -PRON- PRP$ 39713 7647 3 ' ' '' 39713 7647 4 Discourse Discourse NNP 39713 7647 5 on on IN 39713 7647 6 Moderation Moderation NNP 39713 7647 7 ' ' '' 39713 7647 8 ( ( -LRB- 39713 7647 9 no no DT 39713 7647 10 question question NN 39713 7647 11 of of IN 39713 7647 12 moderation moderation NN 39713 7647 13 in in IN 39713 7647 14 praise praise NN 39713 7647 15 and and CC 39713 7647 16 criticism criticism NN 39713 7647 17 ) ) -RRB- 39713 7647 18 , , , 39713 7647 19 the the DT 39713 7647 20 poet poet NN 39713 7647 21 has have VBZ 39713 7647 22 written write VBN 39713 7647 23 : : : 39713 7647 24 You -PRON- PRP 39713 7647 25 have have VBP 39713 7647 26 confirmed confirm VBN 39713 7647 27 in in IN 39713 7647 28 regions region NNS 39713 7647 29 drear drear VB 39713 7647 30 What what WP 39713 7647 31 Newton Newton NNP 39713 7647 32 discerned discern VBD 39713 7647 33 without without IN 39713 7647 34 going go VBG 39713 7647 35 abroad abroad RB 39713 7647 36 . . . 39713 7648 1 These these DT 39713 7648 2 two two CD 39713 7648 3 verses verse NNS 39713 7648 4 ( ( -LRB- 39713 7648 5 which which WDT 39713 7648 6 replace replace VBP 39713 7648 7 the the DT 39713 7648 8 hyperbolic hyperbolic JJ 39713 7648 9 praises praise NNS 39713 7648 10 of of IN 39713 7648 11 the the DT 39713 7648 12 first first JJ 39713 7648 13 period period NN 39713 7648 14 ) ) -RRB- 39713 7648 15 are be VBP 39713 7648 16 very very RB 39713 7648 17 unjust unjust JJ 39713 7648 18 , , , 39713 7648 19 and and CC 39713 7648 20 doubtless doubtless RB 39713 7648 21 Voltaire Voltaire NNP 39713 7648 22 was be VBD 39713 7648 23 too too RB 39713 7648 24 enlightened enlighten VBN 39713 7648 25 not not RB 39713 7648 26 to to TO 39713 7648 27 know know VB 39713 7648 28 it -PRON- PRP 39713 7648 29 . . . 39713 7649 1 Then then RB 39713 7649 2 , , , 39713 7649 3 only only RB 39713 7649 4 those those DT 39713 7649 5 discoveries discovery NNS 39713 7649 6 were be VBD 39713 7649 7 esteemed esteemed JJ 39713 7649 8 which which WDT 39713 7649 9 could could MD 39713 7649 10 be be VB 39713 7649 11 made make VBN 39713 7649 12 without without IN 39713 7649 13 leaving leave VBG 39713 7649 14 one one PRP 39713 7649 15 's 's POS 39713 7649 16 house house NN 39713 7649 17 . . . 39713 7650 1 To to NN 39713 7650 2 - - HYPH 39713 7650 3 day day NN 39713 7650 4 , , , 39713 7650 5 it -PRON- PRP 39713 7650 6 would would MD 39713 7650 7 rather rather RB 39713 7650 8 be be VB 39713 7650 9 theory theory NN 39713 7650 10 that that IN 39713 7650 11 one one PRP 39713 7650 12 would would MD 39713 7650 13 make make VB 39713 7650 14 light light NN 39713 7650 15 of of IN 39713 7650 16 . . . 39713 7651 1 This this DT 39713 7651 2 is be VBZ 39713 7651 3 to to TO 39713 7651 4 misunderstand misunderstand VB 39713 7651 5 the the DT 39713 7651 6 aim aim NN 39713 7651 7 of of IN 39713 7651 8 science science NN 39713 7651 9 . . . 39713 7652 1 Is be VBZ 39713 7652 2 nature nature NN 39713 7652 3 governed govern VBN 39713 7652 4 by by IN 39713 7652 5 caprice caprice NN 39713 7652 6 , , , 39713 7652 7 or or CC 39713 7652 8 does do VBZ 39713 7652 9 harmony harmony NN 39713 7652 10 rule rule VB 39713 7652 11 there there RB 39713 7652 12 ? ? . 39713 7653 1 That that DT 39713 7653 2 is be VBZ 39713 7653 3 the the DT 39713 7653 4 question question NN 39713 7653 5 . . . 39713 7654 1 It -PRON- PRP 39713 7654 2 is be VBZ 39713 7654 3 when when WRB 39713 7654 4 it -PRON- PRP 39713 7654 5 discloses disclose VBZ 39713 7654 6 to to IN 39713 7654 7 us -PRON- PRP 39713 7654 8 this this DT 39713 7654 9 harmony harmony NN 39713 7654 10 that that IN 39713 7654 11 science science NN 39713 7654 12 is be VBZ 39713 7654 13 beautiful beautiful JJ 39713 7654 14 and and CC 39713 7654 15 so so RB 39713 7654 16 worthy worthy JJ 39713 7654 17 to to TO 39713 7654 18 be be VB 39713 7654 19 cultivated cultivate VBN 39713 7654 20 . . . 39713 7655 1 But but CC 39713 7655 2 whence whence NN 39713 7655 3 can can MD 39713 7655 4 come come VB 39713 7655 5 to to IN 39713 7655 6 us -PRON- PRP 39713 7655 7 this this DT 39713 7655 8 revelation revelation NN 39713 7655 9 , , , 39713 7655 10 if if IN 39713 7655 11 not not RB 39713 7655 12 from from IN 39713 7655 13 the the DT 39713 7655 14 accord accord NN 39713 7655 15 of of IN 39713 7655 16 a a DT 39713 7655 17 theory theory NN 39713 7655 18 with with IN 39713 7655 19 experiment experiment NN 39713 7655 20 ? ? . 39713 7656 1 To to TO 39713 7656 2 seek seek VB 39713 7656 3 whether whether IN 39713 7656 4 this this DT 39713 7656 5 accord accord NN 39713 7656 6 exists exist VBZ 39713 7656 7 or or CC 39713 7656 8 if if IN 39713 7656 9 it -PRON- PRP 39713 7656 10 fails fail VBZ 39713 7656 11 , , , 39713 7656 12 this this DT 39713 7656 13 therefore therefore RB 39713 7656 14 is be VBZ 39713 7656 15 our -PRON- PRP$ 39713 7656 16 aim aim NN 39713 7656 17 . . . 39713 7657 1 Consequently consequently RB 39713 7657 2 these these DT 39713 7657 3 two two CD 39713 7657 4 terms term NNS 39713 7657 5 , , , 39713 7657 6 which which WDT 39713 7657 7 we -PRON- PRP 39713 7657 8 must must MD 39713 7657 9 compare compare VB 39713 7657 10 , , , 39713 7657 11 are be VBP 39713 7657 12 as as RB 39713 7657 13 indispensable indispensable JJ 39713 7657 14 the the DT 39713 7657 15 one one NN 39713 7657 16 as as IN 39713 7657 17 the the DT 39713 7657 18 other other JJ 39713 7657 19 . . . 39713 7658 1 To to TO 39713 7658 2 neglect neglect VB 39713 7658 3 one one CD 39713 7658 4 for for IN 39713 7658 5 the the DT 39713 7658 6 other other JJ 39713 7658 7 would would MD 39713 7658 8 be be VB 39713 7658 9 nonsense nonsense NN 39713 7658 10 . . . 39713 7659 1 Isolated isolated JJ 39713 7659 2 , , , 39713 7659 3 theory theory NN 39713 7659 4 would would MD 39713 7659 5 be be VB 39713 7659 6 empty empty JJ 39713 7659 7 , , , 39713 7659 8 experiment experiment NN 39713 7659 9 would would MD 39713 7659 10 be be VB 39713 7659 11 blind blind JJ 39713 7659 12 ; ; : 39713 7659 13 each each DT 39713 7659 14 would would MD 39713 7659 15 be be VB 39713 7659 16 useless useless JJ 39713 7659 17 and and CC 39713 7659 18 without without IN 39713 7659 19 interest interest NN 39713 7659 20 . . . 39713 7660 1 Maupertuis Maupertuis NNP 39713 7660 2 therefore therefore RB 39713 7660 3 deserves deserve VBZ 39713 7660 4 his -PRON- PRP$ 39713 7660 5 share share NN 39713 7660 6 of of IN 39713 7660 7 glory glory NN 39713 7660 8 . . . 39713 7661 1 Truly truly RB 39713 7661 2 , , , 39713 7661 3 it -PRON- PRP 39713 7661 4 will will MD 39713 7661 5 not not RB 39713 7661 6 equal equal VB 39713 7661 7 that that DT 39713 7661 8 of of IN 39713 7661 9 Newton Newton NNP 39713 7661 10 , , , 39713 7661 11 who who WP 39713 7661 12 had have VBD 39713 7661 13 received receive VBN 39713 7661 14 the the DT 39713 7661 15 spark spark NN 39713 7661 16 divine divine JJ 39713 7661 17 ; ; : 39713 7661 18 nor nor CC 39713 7661 19 even even RB 39713 7661 20 that that DT 39713 7661 21 of of IN 39713 7661 22 his -PRON- PRP$ 39713 7661 23 collaborator collaborator NN 39713 7661 24 Clairaut Clairaut NNP 39713 7661 25 . . . 39713 7662 1 Yet yet CC 39713 7662 2 it -PRON- PRP 39713 7662 3 is be VBZ 39713 7662 4 not not RB 39713 7662 5 to to TO 39713 7662 6 be be VB 39713 7662 7 despised despise VBN 39713 7662 8 , , , 39713 7662 9 because because IN 39713 7662 10 his -PRON- PRP$ 39713 7662 11 work work NN 39713 7662 12 was be VBD 39713 7662 13 necessary necessary JJ 39713 7662 14 , , , 39713 7662 15 and and CC 39713 7662 16 if if IN 39713 7662 17 France France NNP 39713 7662 18 , , , 39713 7662 19 outstripped outstrip VBN 39713 7662 20 by by IN 39713 7662 21 England England NNP 39713 7662 22 in in IN 39713 7662 23 the the DT 39713 7662 24 seventeenth seventeenth JJ 39713 7662 25 century century NN 39713 7662 26 , , , 39713 7662 27 has have VBZ 39713 7662 28 so so RB 39713 7662 29 well well RB 39713 7662 30 taken take VBN 39713 7662 31 her -PRON- PRP$ 39713 7662 32 revenge revenge NN 39713 7662 33 in in IN 39713 7662 34 the the DT 39713 7662 35 century century NN 39713 7662 36 following follow VBG 39713 7662 37 , , , 39713 7662 38 it -PRON- PRP 39713 7662 39 is be VBZ 39713 7662 40 not not RB 39713 7662 41 alone alone JJ 39713 7662 42 to to IN 39713 7662 43 the the DT 39713 7662 44 genius genius NN 39713 7662 45 of of IN 39713 7662 46 Clairauts Clairauts NNPS 39713 7662 47 , , , 39713 7662 48 d'Alemberts d'Alemberts NNPS 39713 7662 49 , , , 39713 7662 50 Laplaces Laplaces NNPS 39713 7662 51 that that IN 39713 7662 52 she -PRON- PRP 39713 7662 53 owes owe VBZ 39713 7662 54 it -PRON- PRP 39713 7662 55 ; ; : 39713 7662 56 it -PRON- PRP 39713 7662 57 is be VBZ 39713 7662 58 also also RB 39713 7662 59 to to IN 39713 7662 60 the the DT 39713 7662 61 long long JJ 39713 7662 62 patience patience NN 39713 7662 63 of of IN 39713 7662 64 the the DT 39713 7662 65 Maupertuis Maupertuis NNP 39713 7662 66 and and CC 39713 7662 67 the the DT 39713 7662 68 La La NNP 39713 7662 69 Condamines Condamines NNPS 39713 7662 70 . . . 39713 7663 1 We -PRON- PRP 39713 7663 2 reach reach VBP 39713 7663 3 what what WP 39713 7663 4 may may MD 39713 7663 5 be be VB 39713 7663 6 called call VBN 39713 7663 7 the the DT 39713 7663 8 second second JJ 39713 7663 9 heroic heroic JJ 39713 7663 10 period period NN 39713 7663 11 of of IN 39713 7663 12 geodesy geodesy NN 39713 7663 13 . . . 39713 7664 1 France France NNP 39713 7664 2 is be VBZ 39713 7664 3 torn tear VBN 39713 7664 4 within within RB 39713 7664 5 . . . 39713 7665 1 All all DT 39713 7665 2 Europe Europe NNP 39713 7665 3 is be VBZ 39713 7665 4 armed arm VBN 39713 7665 5 against against IN 39713 7665 6 her -PRON- PRP 39713 7665 7 ; ; : 39713 7665 8 it -PRON- PRP 39713 7665 9 would would MD 39713 7665 10 seem seem VB 39713 7665 11 that that IN 39713 7665 12 these these DT 39713 7665 13 gigantic gigantic JJ 39713 7665 14 combats combat NNS 39713 7665 15 might may MD 39713 7665 16 absorb absorb VB 39713 7665 17 all all PDT 39713 7665 18 her -PRON- PRP$ 39713 7665 19 forces force NNS 39713 7665 20 . . . 39713 7666 1 Far far RB 39713 7666 2 from from IN 39713 7666 3 it -PRON- PRP 39713 7666 4 ; ; : 39713 7666 5 she -PRON- PRP 39713 7666 6 still still RB 39713 7666 7 has have VBZ 39713 7666 8 them -PRON- PRP 39713 7666 9 for for IN 39713 7666 10 the the DT 39713 7666 11 service service NN 39713 7666 12 of of IN 39713 7666 13 science science NN 39713 7666 14 . . . 39713 7667 1 The the DT 39713 7667 2 men man NNS 39713 7667 3 of of IN 39713 7667 4 that that DT 39713 7667 5 time time NN 39713 7667 6 recoiled recoil VBD 39713 7667 7 before before IN 39713 7667 8 no no DT 39713 7667 9 enterprise enterprise NN 39713 7667 10 , , , 39713 7667 11 they -PRON- PRP 39713 7667 12 were be VBD 39713 7667 13 men man NNS 39713 7667 14 of of IN 39713 7667 15 faith faith NN 39713 7667 16 . . . 39713 7668 1 Delambre Delambre NNP 39713 7668 2 and and CC 39713 7668 3 Méchain Méchain NNP 39713 7668 4 were be VBD 39713 7668 5 commissioned commission VBN 39713 7668 6 to to TO 39713 7668 7 measure measure VB 39713 7668 8 an an DT 39713 7668 9 arc arc NN 39713 7668 10 going go VBG 39713 7668 11 from from IN 39713 7668 12 Dunkerque Dunkerque NNP 39713 7668 13 to to IN 39713 7668 14 Barcelona Barcelona NNP 39713 7668 15 . . . 39713 7669 1 This this DT 39713 7669 2 time time NN 39713 7669 3 there there EX 39713 7669 4 was be VBD 39713 7669 5 no no DT 39713 7669 6 going go VBG 39713 7669 7 to to IN 39713 7669 8 Lapland Lapland NNP 39713 7669 9 or or CC 39713 7669 10 to to IN 39713 7669 11 Peru Peru NNP 39713 7669 12 ; ; : 39713 7669 13 the the DT 39713 7669 14 hostile hostile JJ 39713 7669 15 squadrons squadron NNS 39713 7669 16 had have VBD 39713 7669 17 closed close VBN 39713 7669 18 to to IN 39713 7669 19 us -PRON- PRP 39713 7669 20 the the DT 39713 7669 21 ways way NNS 39713 7669 22 thither thither NN 39713 7669 23 . . . 39713 7670 1 But but CC 39713 7670 2 , , , 39713 7670 3 though though IN 39713 7670 4 the the DT 39713 7670 5 expeditions expedition NNS 39713 7670 6 are be VBP 39713 7670 7 less less RBR 39713 7670 8 distant distant JJ 39713 7670 9 , , , 39713 7670 10 the the DT 39713 7670 11 epoch epoch NN 39713 7670 12 is be VBZ 39713 7670 13 so so RB 39713 7670 14 troubled troubled JJ 39713 7670 15 that that IN 39713 7670 16 the the DT 39713 7670 17 obstacles obstacle NNS 39713 7670 18 , , , 39713 7670 19 the the DT 39713 7670 20 perils peril NNS 39713 7670 21 even even RB 39713 7670 22 , , , 39713 7670 23 are be VBP 39713 7670 24 just just RB 39713 7670 25 as as RB 39713 7670 26 great great JJ 39713 7670 27 . . . 39713 7671 1 In in IN 39713 7671 2 France France NNP 39713 7671 3 , , , 39713 7671 4 Delambre Delambre NNP 39713 7671 5 had have VBD 39713 7671 6 to to TO 39713 7671 7 fight fight VB 39713 7671 8 against against IN 39713 7671 9 the the DT 39713 7671 10 ill ill NNP 39713 7671 11 - - HYPH 39713 7671 12 will will NN 39713 7671 13 of of IN 39713 7671 14 suspicious suspicious JJ 39713 7671 15 municipalities municipality NNS 39713 7671 16 . . . 39713 7672 1 One one CD 39713 7672 2 knows know VBZ 39713 7672 3 that that IN 39713 7672 4 the the DT 39713 7672 5 steeples steeple NNS 39713 7672 6 , , , 39713 7672 7 which which WDT 39713 7672 8 are be VBP 39713 7672 9 visible visible JJ 39713 7672 10 from from IN 39713 7672 11 so so RB 39713 7672 12 far far RB 39713 7672 13 , , , 39713 7672 14 and and CC 39713 7672 15 can can MD 39713 7672 16 be be VB 39713 7672 17 aimed aim VBN 39713 7672 18 at at IN 39713 7672 19 with with IN 39713 7672 20 precision precision NN 39713 7672 21 , , , 39713 7672 22 often often RB 39713 7672 23 serve serve VBP 39713 7672 24 as as IN 39713 7672 25 signal signal NN 39713 7672 26 points point NNS 39713 7672 27 to to IN 39713 7672 28 geodesists geodesist NNS 39713 7672 29 . . . 39713 7673 1 But but CC 39713 7673 2 in in IN 39713 7673 3 the the DT 39713 7673 4 region region NN 39713 7673 5 Delambre Delambre NNP 39713 7673 6 traversed traverse VBD 39713 7673 7 there there EX 39713 7673 8 were be VBD 39713 7673 9 no no RB 39713 7673 10 longer long RBR 39713 7673 11 any any DT 39713 7673 12 steeples steeple NNS 39713 7673 13 . . . 39713 7674 1 A a DT 39713 7674 2 certain certain JJ 39713 7674 3 proconsul proconsul NN 39713 7674 4 had have VBD 39713 7674 5 passed pass VBN 39713 7674 6 there there RB 39713 7674 7 , , , 39713 7674 8 and and CC 39713 7674 9 boasted boast VBD 39713 7674 10 of of IN 39713 7674 11 knocking knock VBG 39713 7674 12 down down RP 39713 7674 13 all all PDT 39713 7674 14 the the DT 39713 7674 15 steeples steeple NNS 39713 7674 16 rising rise VBG 39713 7674 17 proudly proudly RB 39713 7674 18 above above IN 39713 7674 19 the the DT 39713 7674 20 humble humble JJ 39713 7674 21 abode abode NN 39713 7674 22 of of IN 39713 7674 23 the the DT 39713 7674 24 sans san NNS 39713 7674 25 - - HYPH 39713 7674 26 culottes culotte NNS 39713 7674 27 . . . 39713 7675 1 Pyramids pyramid NNS 39713 7675 2 then then RB 39713 7675 3 were be VBD 39713 7675 4 built build VBN 39713 7675 5 of of IN 39713 7675 6 planks plank NNS 39713 7675 7 and and CC 39713 7675 8 covered cover VBN 39713 7675 9 with with IN 39713 7675 10 white white JJ 39713 7675 11 cloth cloth NN 39713 7675 12 to to TO 39713 7675 13 make make VB 39713 7675 14 them -PRON- PRP 39713 7675 15 more more RBR 39713 7675 16 visible visible JJ 39713 7675 17 . . . 39713 7676 1 That that DT 39713 7676 2 was be VBD 39713 7676 3 quite quite PDT 39713 7676 4 another another DT 39713 7676 5 thing thing NN 39713 7676 6 : : : 39713 7676 7 with with IN 39713 7676 8 white white JJ 39713 7676 9 cloth cloth NN 39713 7676 10 ! ! . 39713 7677 1 What what WP 39713 7677 2 was be VBD 39713 7677 3 this this DT 39713 7677 4 rash rash JJ 39713 7677 5 person person NN 39713 7677 6 who who WP 39713 7677 7 , , , 39713 7677 8 upon upon IN 39713 7677 9 our -PRON- PRP$ 39713 7677 10 heights height NNS 39713 7677 11 so so RB 39713 7677 12 recently recently RB 39713 7677 13 set set VBN 39713 7677 14 free free JJ 39713 7677 15 , , , 39713 7677 16 dared dare VBN 39713 7677 17 to to TO 39713 7677 18 raise raise VB 39713 7677 19 the the DT 39713 7677 20 hateful hateful JJ 39713 7677 21 standard standard NN 39713 7677 22 of of IN 39713 7677 23 the the DT 39713 7677 24 counter counter NN 39713 7677 25 - - NN 39713 7677 26 revolution revolution NN 39713 7677 27 ? ? . 39713 7678 1 It -PRON- PRP 39713 7678 2 was be VBD 39713 7678 3 necessary necessary JJ 39713 7678 4 to to TO 39713 7678 5 border border VB 39713 7678 6 the the DT 39713 7678 7 white white JJ 39713 7678 8 cloth cloth NN 39713 7678 9 with with IN 39713 7678 10 blue blue JJ 39713 7678 11 and and CC 39713 7678 12 red red JJ 39713 7678 13 bands band NNS 39713 7678 14 . . . 39713 7679 1 Méchain Méchain NNP 39713 7679 2 operated operate VBD 39713 7679 3 in in IN 39713 7679 4 Spain Spain NNP 39713 7679 5 ; ; : 39713 7679 6 the the DT 39713 7679 7 difficulties difficulty NNS 39713 7679 8 were be VBD 39713 7679 9 other other JJ 39713 7679 10 ; ; : 39713 7679 11 but but CC 39713 7679 12 they -PRON- PRP 39713 7679 13 were be VBD 39713 7679 14 not not RB 39713 7679 15 less less JJR 39713 7679 16 . . . 39713 7680 1 The the DT 39713 7680 2 Spanish spanish JJ 39713 7680 3 peasants peasant NNS 39713 7680 4 were be VBD 39713 7680 5 hostile hostile JJ 39713 7680 6 . . . 39713 7681 1 There there EX 39713 7681 2 steeples steeple NNS 39713 7681 3 were be VBD 39713 7681 4 not not RB 39713 7681 5 lacking lack VBG 39713 7681 6 : : : 39713 7681 7 but but CC 39713 7681 8 to to TO 39713 7681 9 install install VB 39713 7681 10 oneself oneself PRP 39713 7681 11 in in IN 39713 7681 12 them -PRON- PRP 39713 7681 13 with with IN 39713 7681 14 mysterious mysterious JJ 39713 7681 15 and and CC 39713 7681 16 perhaps perhaps RB 39713 7681 17 diabolic diabolic JJ 39713 7681 18 instruments instrument NNS 39713 7681 19 , , , 39713 7681 20 was be VBD 39713 7681 21 it -PRON- PRP 39713 7681 22 not not RB 39713 7681 23 sacrilege sacrilege NN 39713 7681 24 ? ? . 39713 7682 1 The the DT 39713 7682 2 revolutionists revolutionist NNS 39713 7682 3 were be VBD 39713 7682 4 allies ally NNS 39713 7682 5 of of IN 39713 7682 6 Spain Spain NNP 39713 7682 7 , , , 39713 7682 8 but but CC 39713 7682 9 allies ally NNS 39713 7682 10 smelling smell VBG 39713 7682 11 a a DT 39713 7682 12 little little JJ 39713 7682 13 of of IN 39713 7682 14 the the DT 39713 7682 15 stake stake NN 39713 7682 16 . . . 39713 7683 1 " " `` 39713 7683 2 Without without IN 39713 7683 3 cease cease NN 39713 7683 4 , , , 39713 7683 5 " " '' 39713 7683 6 writes write VBZ 39713 7683 7 Méchain Méchain NNP 39713 7683 8 , , , 39713 7683 9 " " '' 39713 7683 10 they -PRON- PRP 39713 7683 11 threaten threaten VBP 39713 7683 12 to to TO 39713 7683 13 butcher butcher VB 39713 7683 14 us -PRON- PRP 39713 7683 15 . . . 39713 7683 16 " " '' 39713 7684 1 Fortunately fortunately RB 39713 7684 2 , , , 39713 7684 3 thanks thank NNS 39713 7684 4 to to IN 39713 7684 5 the the DT 39713 7684 6 exhortations exhortation NNS 39713 7684 7 of of IN 39713 7684 8 the the DT 39713 7684 9 priests priest NNS 39713 7684 10 , , , 39713 7684 11 to to IN 39713 7684 12 the the DT 39713 7684 13 pastoral pastoral JJ 39713 7684 14 letters letter NNS 39713 7684 15 of of IN 39713 7684 16 the the DT 39713 7684 17 bishops bishop NNS 39713 7684 18 , , , 39713 7684 19 these these DT 39713 7684 20 ferocious ferocious JJ 39713 7684 21 Spaniards Spaniards NNPS 39713 7684 22 contented content VBD 39713 7684 23 themselves -PRON- PRP 39713 7684 24 with with IN 39713 7684 25 threatening threaten VBG 39713 7684 26 . . . 39713 7685 1 Some some DT 39713 7685 2 years year NNS 39713 7685 3 after after IN 39713 7685 4 Méchain Méchain NNP 39713 7685 5 made make VBD 39713 7685 6 a a DT 39713 7685 7 second second JJ 39713 7685 8 expedition expedition NN 39713 7685 9 into into IN 39713 7685 10 Spain Spain NNP 39713 7685 11 : : : 39713 7685 12 he -PRON- PRP 39713 7685 13 proposed propose VBD 39713 7685 14 to to TO 39713 7685 15 prolong prolong VB 39713 7685 16 the the DT 39713 7685 17 meridian meridian NN 39713 7685 18 from from IN 39713 7685 19 Barcelona Barcelona NNP 39713 7685 20 to to IN 39713 7685 21 the the DT 39713 7685 22 Balearics Balearics NNPS 39713 7685 23 . . . 39713 7686 1 This this DT 39713 7686 2 was be VBD 39713 7686 3 the the DT 39713 7686 4 first first JJ 39713 7686 5 time time NN 39713 7686 6 it -PRON- PRP 39713 7686 7 had have VBD 39713 7686 8 been be VBN 39713 7686 9 attempted attempt VBN 39713 7686 10 to to TO 39713 7686 11 make make VB 39713 7686 12 the the DT 39713 7686 13 triangulations triangulation NNS 39713 7686 14 overpass overpass VB 39713 7686 15 a a DT 39713 7686 16 large large JJ 39713 7686 17 arm arm NN 39713 7686 18 of of IN 39713 7686 19 the the DT 39713 7686 20 sea sea NN 39713 7686 21 by by IN 39713 7686 22 observing observe VBG 39713 7686 23 signals signal NNS 39713 7686 24 installed instal VBN 39713 7686 25 upon upon IN 39713 7686 26 some some DT 39713 7686 27 high high JJ 39713 7686 28 mountain mountain NN 39713 7686 29 of of IN 39713 7686 30 a a DT 39713 7686 31 far far RB 39713 7686 32 - - HYPH 39713 7686 33 away away NN 39713 7686 34 isle isle NNP 39713 7686 35 . . . 39713 7687 1 The the DT 39713 7687 2 enterprise enterprise NN 39713 7687 3 was be VBD 39713 7687 4 well well RB 39713 7687 5 conceived conceive VBN 39713 7687 6 and and CC 39713 7687 7 well well RB 39713 7687 8 prepared prepared JJ 39713 7687 9 ; ; : 39713 7687 10 it -PRON- PRP 39713 7687 11 failed fail VBD 39713 7687 12 however however RB 39713 7687 13 . . . 39713 7688 1 The the DT 39713 7688 2 French french JJ 39713 7688 3 scientist scientist NN 39713 7688 4 encountered encounter VBD 39713 7688 5 all all DT 39713 7688 6 sorts sort NNS 39713 7688 7 of of IN 39713 7688 8 difficulties difficulty NNS 39713 7688 9 of of IN 39713 7688 10 which which WDT 39713 7688 11 he -PRON- PRP 39713 7688 12 complains complain VBZ 39713 7688 13 bitterly bitterly RB 39713 7688 14 in in IN 39713 7688 15 his -PRON- PRP$ 39713 7688 16 correspondence correspondence NN 39713 7688 17 . . . 39713 7689 1 " " `` 39713 7689 2 Hell hell NN 39713 7689 3 , , , 39713 7689 4 " " '' 39713 7689 5 he -PRON- PRP 39713 7689 6 writes write VBZ 39713 7689 7 , , , 39713 7689 8 perhaps perhaps RB 39713 7689 9 with with IN 39713 7689 10 some some DT 39713 7689 11 exaggeration--"hell exaggeration--"hell : 39713 7689 12 and and CC 39713 7689 13 all all PDT 39713 7689 14 the the DT 39713 7689 15 scourges scourge NNS 39713 7689 16 it -PRON- PRP 39713 7689 17 vomits vomit VBZ 39713 7689 18 upon upon IN 39713 7689 19 the the DT 39713 7689 20 earth earth NN 39713 7689 21 , , , 39713 7689 22 tempests tempest NNS 39713 7689 23 , , , 39713 7689 24 war war NN 39713 7689 25 , , , 39713 7689 26 the the DT 39713 7689 27 plague plague NN 39713 7689 28 and and CC 39713 7689 29 black black JJ 39713 7689 30 intrigues intrigue NNS 39713 7689 31 are be VBP 39713 7689 32 therefore therefore RB 39713 7689 33 unchained unchained JJ 39713 7689 34 against against IN 39713 7689 35 me -PRON- PRP 39713 7689 36 ! ! . 39713 7689 37 " " '' 39713 7690 1 The the DT 39713 7690 2 fact fact NN 39713 7690 3 is be VBZ 39713 7690 4 that that IN 39713 7690 5 he -PRON- PRP 39713 7690 6 encountered encounter VBD 39713 7690 7 among among IN 39713 7690 8 his -PRON- PRP$ 39713 7690 9 collaborators collaborator NNS 39713 7690 10 more more JJR 39713 7690 11 of of IN 39713 7690 12 proud proud JJ 39713 7690 13 obstinacy obstinacy NN 39713 7690 14 than than IN 39713 7690 15 of of IN 39713 7690 16 good good JJ 39713 7690 17 will will NN 39713 7690 18 and and CC 39713 7690 19 that that IN 39713 7690 20 a a DT 39713 7690 21 thousand thousand CD 39713 7690 22 accidents accident NNS 39713 7690 23 retarded retard VBD 39713 7690 24 his -PRON- PRP$ 39713 7690 25 work work NN 39713 7690 26 . . . 39713 7691 1 The the DT 39713 7691 2 plague plague NN 39713 7691 3 was be VBD 39713 7691 4 nothing nothing NN 39713 7691 5 , , , 39713 7691 6 the the DT 39713 7691 7 fear fear NN 39713 7691 8 of of IN 39713 7691 9 the the DT 39713 7691 10 plague plague NN 39713 7691 11 was be VBD 39713 7691 12 much much RB 39713 7691 13 more more RBR 39713 7691 14 redoubtable redoubtable JJ 39713 7691 15 ; ; : 39713 7691 16 all all PDT 39713 7691 17 these these DT 39713 7691 18 isles isle NNS 39713 7691 19 were be VBD 39713 7691 20 on on IN 39713 7691 21 their -PRON- PRP$ 39713 7691 22 guard guard NN 39713 7691 23 against against IN 39713 7691 24 the the DT 39713 7691 25 neighboring neighboring NN 39713 7691 26 isles isle NNS 39713 7691 27 and and CC 39713 7691 28 feared fear VBD 39713 7691 29 lest lest IN 39713 7691 30 they -PRON- PRP 39713 7691 31 should should MD 39713 7691 32 receive receive VB 39713 7691 33 the the DT 39713 7691 34 scourge scourge NN 39713 7691 35 from from IN 39713 7691 36 them -PRON- PRP 39713 7691 37 . . . 39713 7692 1 Méchain Méchain NNP 39713 7692 2 obtained obtain VBD 39713 7692 3 permission permission NN 39713 7692 4 to to TO 39713 7692 5 disembark disembark VB 39713 7692 6 only only RB 39713 7692 7 after after IN 39713 7692 8 long long JJ 39713 7692 9 weeks week NNS 39713 7692 10 upon upon IN 39713 7692 11 the the DT 39713 7692 12 condition condition NN 39713 7692 13 of of IN 39713 7692 14 covering cover VBG 39713 7692 15 all all PDT 39713 7692 16 his -PRON- PRP$ 39713 7692 17 papers paper NNS 39713 7692 18 with with IN 39713 7692 19 vinegar vinegar NN 39713 7692 20 ; ; : 39713 7692 21 this this DT 39713 7692 22 was be VBD 39713 7692 23 the the DT 39713 7692 24 antisepsis antisepsis NN 39713 7692 25 of of IN 39713 7692 26 that that DT 39713 7692 27 time time NN 39713 7692 28 . . . 39713 7693 1 Disgusted disgusted JJ 39713 7693 2 and and CC 39713 7693 3 sick sick JJ 39713 7693 4 , , , 39713 7693 5 he -PRON- PRP 39713 7693 6 had have VBD 39713 7693 7 just just RB 39713 7693 8 asked ask VBN 39713 7693 9 to to TO 39713 7693 10 be be VB 39713 7693 11 recalled recall VBN 39713 7693 12 , , , 39713 7693 13 when when WRB 39713 7693 14 he -PRON- PRP 39713 7693 15 died die VBD 39713 7693 16 . . . 39713 7694 1 Arago Arago NNP 39713 7694 2 and and CC 39713 7694 3 Biot Biot NNP 39713 7694 4 it -PRON- PRP 39713 7694 5 was be VBD 39713 7694 6 who who WP 39713 7694 7 had have VBD 39713 7694 8 the the DT 39713 7694 9 honor honor NN 39713 7694 10 of of IN 39713 7694 11 taking take VBG 39713 7694 12 up up RP 39713 7694 13 the the DT 39713 7694 14 unfinished unfinished JJ 39713 7694 15 work work NN 39713 7694 16 and and CC 39713 7694 17 carrying carry VBG 39713 7694 18 it -PRON- PRP 39713 7694 19 on on RP 39713 7694 20 to to IN 39713 7694 21 completion completion NN 39713 7694 22 . . . 39713 7695 1 Thanks thank NNS 39713 7695 2 to to IN 39713 7695 3 the the DT 39713 7695 4 support support NN 39713 7695 5 of of IN 39713 7695 6 the the DT 39713 7695 7 Spanish spanish JJ 39713 7695 8 government government NN 39713 7695 9 , , , 39713 7695 10 to to IN 39713 7695 11 the the DT 39713 7695 12 protection protection NN 39713 7695 13 of of IN 39713 7695 14 several several JJ 39713 7695 15 bishops bishop NNS 39713 7695 16 and and CC 39713 7695 17 , , , 39713 7695 18 above above IN 39713 7695 19 all all DT 39713 7695 20 , , , 39713 7695 21 to to IN 39713 7695 22 that that DT 39713 7695 23 of of IN 39713 7695 24 a a DT 39713 7695 25 famous famous JJ 39713 7695 26 brigand brigand NN 39713 7695 27 chief chief NN 39713 7695 28 , , , 39713 7695 29 the the DT 39713 7695 30 operations operation NNS 39713 7695 31 went go VBD 39713 7695 32 rapidly rapidly RB 39713 7695 33 forward forward RB 39713 7695 34 . . . 39713 7696 1 They -PRON- PRP 39713 7696 2 were be VBD 39713 7696 3 successfully successfully RB 39713 7696 4 completed complete VBN 39713 7696 5 , , , 39713 7696 6 and and CC 39713 7696 7 Biot Biot NNP 39713 7696 8 had have VBD 39713 7696 9 returned return VBN 39713 7696 10 to to IN 39713 7696 11 France France NNP 39713 7696 12 when when WRB 39713 7696 13 the the DT 39713 7696 14 storm storm NN 39713 7696 15 burst burst VBD 39713 7696 16 . . . 39713 7697 1 It -PRON- PRP 39713 7697 2 was be VBD 39713 7697 3 the the DT 39713 7697 4 moment moment NN 39713 7697 5 when when WRB 39713 7697 6 all all DT 39713 7697 7 Spain Spain NNP 39713 7697 8 took take VBD 39713 7697 9 up up RP 39713 7697 10 arms arm NNS 39713 7697 11 to to TO 39713 7697 12 defend defend VB 39713 7697 13 her -PRON- PRP$ 39713 7697 14 independence independence NN 39713 7697 15 against against IN 39713 7697 16 France France NNP 39713 7697 17 . . . 39713 7698 1 Why why WRB 39713 7698 2 did do VBD 39713 7698 3 this this DT 39713 7698 4 stranger stranger NN 39713 7698 5 climb climb VB 39713 7698 6 the the DT 39713 7698 7 mountains mountain NNS 39713 7698 8 to to TO 39713 7698 9 make make VB 39713 7698 10 signals signal NNS 39713 7698 11 ? ? . 39713 7699 1 It -PRON- PRP 39713 7699 2 was be VBD 39713 7699 3 evidently evidently RB 39713 7699 4 to to TO 39713 7699 5 call call VB 39713 7699 6 the the DT 39713 7699 7 French french JJ 39713 7699 8 army army NN 39713 7699 9 . . . 39713 7700 1 Arago Arago NNP 39713 7700 2 was be VBD 39713 7700 3 able able JJ 39713 7700 4 to to TO 39713 7700 5 escape escape VB 39713 7700 6 the the DT 39713 7700 7 populace populace NN 39713 7700 8 only only RB 39713 7700 9 by by IN 39713 7700 10 becoming become VBG 39713 7700 11 a a DT 39713 7700 12 prisoner prisoner NN 39713 7700 13 . . . 39713 7701 1 In in IN 39713 7701 2 his -PRON- PRP$ 39713 7701 3 prison prison NN 39713 7701 4 , , , 39713 7701 5 his -PRON- PRP$ 39713 7701 6 only only JJ 39713 7701 7 distraction distraction NN 39713 7701 8 was be VBD 39713 7701 9 reading read VBG 39713 7701 10 in in IN 39713 7701 11 the the DT 39713 7701 12 Spanish spanish JJ 39713 7701 13 papers paper NNS 39713 7701 14 the the DT 39713 7701 15 account account NN 39713 7701 16 of of IN 39713 7701 17 his -PRON- PRP$ 39713 7701 18 own own JJ 39713 7701 19 execution execution NN 39713 7701 20 . . . 39713 7702 1 The the DT 39713 7702 2 papers paper NNS 39713 7702 3 of of IN 39713 7702 4 that that DT 39713 7702 5 time time NN 39713 7702 6 sometimes sometimes RB 39713 7702 7 gave give VBD 39713 7702 8 out out RP 39713 7702 9 news news NN 39713 7702 10 prematurely prematurely RB 39713 7702 11 . . . 39713 7703 1 He -PRON- PRP 39713 7703 2 had have VBD 39713 7703 3 at at IN 39713 7703 4 least least JJS 39713 7703 5 the the DT 39713 7703 6 consolation consolation NN 39713 7703 7 of of IN 39713 7703 8 learning learn VBG 39713 7703 9 that that IN 39713 7703 10 he -PRON- PRP 39713 7703 11 died die VBD 39713 7703 12 with with IN 39713 7703 13 courage courage NN 39713 7703 14 and and CC 39713 7703 15 like like IN 39713 7703 16 a a DT 39713 7703 17 Christian Christian NNP 39713 7703 18 . . . 39713 7704 1 Even even RB 39713 7704 2 the the DT 39713 7704 3 prison prison NN 39713 7704 4 was be VBD 39713 7704 5 no no RB 39713 7704 6 longer long RBR 39713 7704 7 safe safe JJ 39713 7704 8 ; ; : 39713 7704 9 he -PRON- PRP 39713 7704 10 had have VBD 39713 7704 11 to to TO 39713 7704 12 escape escape VB 39713 7704 13 and and CC 39713 7704 14 reach reach VB 39713 7704 15 Algiers Algiers NNP 39713 7704 16 . . . 39713 7705 1 There there RB 39713 7705 2 , , , 39713 7705 3 he -PRON- PRP 39713 7705 4 embarked embark VBD 39713 7705 5 for for IN 39713 7705 6 Marseilles Marseilles NNPS 39713 7705 7 on on IN 39713 7705 8 an an DT 39713 7705 9 Algerian algerian JJ 39713 7705 10 vessel vessel NN 39713 7705 11 . . . 39713 7706 1 This this DT 39713 7706 2 ship ship NN 39713 7706 3 was be VBD 39713 7706 4 captured capture VBN 39713 7706 5 by by IN 39713 7706 6 a a DT 39713 7706 7 Spanish spanish JJ 39713 7706 8 corsair corsair NN 39713 7706 9 , , , 39713 7706 10 and and CC 39713 7706 11 behold behold VB 39713 7706 12 Arago Arago NNP 39713 7706 13 carried carry VBD 39713 7706 14 back back RB 39713 7706 15 to to IN 39713 7706 16 Spain Spain NNP 39713 7706 17 and and CC 39713 7706 18 dragged drag VBD 39713 7706 19 from from IN 39713 7706 20 dungeon dungeon NN 39713 7706 21 to to IN 39713 7706 22 dungeon dungeon NN 39713 7706 23 , , , 39713 7706 24 in in IN 39713 7706 25 the the DT 39713 7706 26 midst midst NNP 39713 7706 27 of of IN 39713 7706 28 vermin vermin NNP 39713 7706 29 and and CC 39713 7706 30 in in IN 39713 7706 31 the the DT 39713 7706 32 most most RBS 39713 7706 33 shocking shocking JJ 39713 7706 34 wretchedness wretchedness NN 39713 7706 35 . . . 39713 7707 1 If if IN 39713 7707 2 it -PRON- PRP 39713 7707 3 had have VBD 39713 7707 4 only only RB 39713 7707 5 been be VBN 39713 7707 6 a a DT 39713 7707 7 question question NN 39713 7707 8 of of IN 39713 7707 9 his -PRON- PRP$ 39713 7707 10 subjects subject NNS 39713 7707 11 and and CC 39713 7707 12 his -PRON- PRP$ 39713 7707 13 guests guest NNS 39713 7707 14 , , , 39713 7707 15 the the DT 39713 7707 16 dey dey NNP 39713 7707 17 would would MD 39713 7707 18 have have VB 39713 7707 19 said say VBN 39713 7707 20 nothing nothing NN 39713 7707 21 . . . 39713 7708 1 But but CC 39713 7708 2 there there EX 39713 7708 3 were be VBD 39713 7708 4 on on IN 39713 7708 5 board board NN 39713 7708 6 two two CD 39713 7708 7 lions lion NNS 39713 7708 8 , , , 39713 7708 9 a a DT 39713 7708 10 present present NN 39713 7708 11 from from IN 39713 7708 12 the the DT 39713 7708 13 African african JJ 39713 7708 14 sovereign sovereign NN 39713 7708 15 to to IN 39713 7708 16 Napoleon Napoleon NNP 39713 7708 17 . . . 39713 7709 1 The the DT 39713 7709 2 dey dey NN 39713 7709 3 threatened threaten VBD 39713 7709 4 war war NN 39713 7709 5 . . . 39713 7710 1 The the DT 39713 7710 2 vessel vessel NN 39713 7710 3 and and CC 39713 7710 4 the the DT 39713 7710 5 prisoners prisoner NNS 39713 7710 6 were be VBD 39713 7710 7 released release VBN 39713 7710 8 . . . 39713 7711 1 The the DT 39713 7711 2 port port NN 39713 7711 3 should should MD 39713 7711 4 have have VB 39713 7711 5 been be VBN 39713 7711 6 properly properly RB 39713 7711 7 reached reach VBN 39713 7711 8 , , , 39713 7711 9 since since IN 39713 7711 10 they -PRON- PRP 39713 7711 11 had have VBD 39713 7711 12 on on IN 39713 7711 13 board board NN 39713 7711 14 an an DT 39713 7711 15 astronomer astronomer NN 39713 7711 16 ; ; : 39713 7711 17 but but CC 39713 7711 18 the the DT 39713 7711 19 astronomer astronomer NN 39713 7711 20 was be VBD 39713 7711 21 seasick seasick JJ 39713 7711 22 , , , 39713 7711 23 and and CC 39713 7711 24 the the DT 39713 7711 25 Algerian algerian JJ 39713 7711 26 seamen seamen NN 39713 7711 27 , , , 39713 7711 28 who who WP 39713 7711 29 wished wish VBD 39713 7711 30 to to TO 39713 7711 31 make make VB 39713 7711 32 Marseilles Marseilles NNP 39713 7711 33 , , , 39713 7711 34 came come VBD 39713 7711 35 out out RP 39713 7711 36 at at IN 39713 7711 37 Bougie Bougie NNP 39713 7711 38 . . . 39713 7712 1 Thence Thence NNP 39713 7712 2 Arago Arago NNP 39713 7712 3 went go VBD 39713 7712 4 to to IN 39713 7712 5 Algiers Algiers NNP 39713 7712 6 , , , 39713 7712 7 traversing traverse VBG 39713 7712 8 Kabylia Kabylia NNP 39713 7712 9 on on IN 39713 7712 10 foot foot NN 39713 7712 11 in in IN 39713 7712 12 the the DT 39713 7712 13 midst midst NN 39713 7712 14 of of IN 39713 7712 15 a a DT 39713 7712 16 thousand thousand CD 39713 7712 17 perils peril NNS 39713 7712 18 . . . 39713 7713 1 He -PRON- PRP 39713 7713 2 was be VBD 39713 7713 3 long long RB 39713 7713 4 detained detain VBN 39713 7713 5 in in IN 39713 7713 6 Africa Africa NNP 39713 7713 7 and and CC 39713 7713 8 threatened threaten VBD 39713 7713 9 with with IN 39713 7713 10 the the DT 39713 7713 11 convict convict NN 39713 7713 12 prison prison NN 39713 7713 13 . . . 39713 7714 1 Finally finally RB 39713 7714 2 he -PRON- PRP 39713 7714 3 was be VBD 39713 7714 4 able able JJ 39713 7714 5 to to TO 39713 7714 6 get get VB 39713 7714 7 back back RB 39713 7714 8 to to IN 39713 7714 9 France France NNP 39713 7714 10 ; ; : 39713 7714 11 his -PRON- PRP$ 39713 7714 12 observations observation NNS 39713 7714 13 , , , 39713 7714 14 which which WDT 39713 7714 15 he -PRON- PRP 39713 7714 16 had have VBD 39713 7714 17 preserved preserve VBN 39713 7714 18 and and CC 39713 7714 19 safeguarded safeguard VBN 39713 7714 20 under under IN 39713 7714 21 his -PRON- PRP$ 39713 7714 22 shirt shirt NN 39713 7714 23 , , , 39713 7714 24 and and CC 39713 7714 25 , , , 39713 7714 26 what what WP 39713 7714 27 is be VBZ 39713 7714 28 still still RB 39713 7714 29 more more RBR 39713 7714 30 remarkable remarkable JJ 39713 7714 31 , , , 39713 7714 32 his -PRON- PRP$ 39713 7714 33 instruments instrument NNS 39713 7714 34 had have VBD 39713 7714 35 traversed traverse VBN 39713 7714 36 unhurt unhurt JJ 39713 7714 37 these these DT 39713 7714 38 terrible terrible JJ 39713 7714 39 adventures adventure NNS 39713 7714 40 . . . 39713 7715 1 Up up IN 39713 7715 2 to to IN 39713 7715 3 this this DT 39713 7715 4 point point NN 39713 7715 5 , , , 39713 7715 6 not not RB 39713 7715 7 only only RB 39713 7715 8 did do VBD 39713 7715 9 France France NNP 39713 7715 10 hold hold VB 39713 7715 11 the the DT 39713 7715 12 foremost foremost JJ 39713 7715 13 place place NN 39713 7715 14 , , , 39713 7715 15 but but CC 39713 7715 16 she -PRON- PRP 39713 7715 17 occupied occupy VBD 39713 7715 18 the the DT 39713 7715 19 stage stage NN 39713 7715 20 almost almost RB 39713 7715 21 alone alone JJ 39713 7715 22 . . . 39713 7716 1 In in IN 39713 7716 2 the the DT 39713 7716 3 years year NNS 39713 7716 4 which which WDT 39713 7716 5 follow follow VBP 39713 7716 6 , , , 39713 7716 7 she -PRON- PRP 39713 7716 8 has have VBZ 39713 7716 9 not not RB 39713 7716 10 been be VBN 39713 7716 11 inactive inactive JJ 39713 7716 12 and and CC 39713 7716 13 our -PRON- PRP$ 39713 7716 14 staff staff NN 39713 7716 15 - - HYPH 39713 7716 16 office office NN 39713 7716 17 map map NN 39713 7716 18 is be VBZ 39713 7716 19 a a DT 39713 7716 20 model model NN 39713 7716 21 . . . 39713 7717 1 However however RB 39713 7717 2 , , , 39713 7717 3 the the DT 39713 7717 4 new new JJ 39713 7717 5 methods method NNS 39713 7717 6 of of IN 39713 7717 7 observation observation NN 39713 7717 8 and and CC 39713 7717 9 calculation calculation NN 39713 7717 10 have have VBP 39713 7717 11 come come VBN 39713 7717 12 to to IN 39713 7717 13 us -PRON- PRP 39713 7717 14 above above IN 39713 7717 15 all all DT 39713 7717 16 from from IN 39713 7717 17 Germany Germany NNP 39713 7717 18 and and CC 39713 7717 19 England England NNP 39713 7717 20 . . . 39713 7718 1 It -PRON- PRP 39713 7718 2 is be VBZ 39713 7718 3 only only RB 39713 7718 4 in in IN 39713 7718 5 the the DT 39713 7718 6 last last JJ 39713 7718 7 forty forty CD 39713 7718 8 years year NNS 39713 7718 9 that that IN 39713 7718 10 France France NNP 39713 7718 11 has have VBZ 39713 7718 12 regained regain VBN 39713 7718 13 her -PRON- PRP$ 39713 7718 14 rank rank NN 39713 7718 15 . . . 39713 7719 1 She -PRON- PRP 39713 7719 2 owes owe VBZ 39713 7719 3 it -PRON- PRP 39713 7719 4 to to IN 39713 7719 5 a a DT 39713 7719 6 scientific scientific JJ 39713 7719 7 officer officer NN 39713 7719 8 , , , 39713 7719 9 General General NNP 39713 7719 10 Perrier Perrier NNP 39713 7719 11 , , , 39713 7719 12 who who WP 39713 7719 13 has have VBZ 39713 7719 14 successfully successfully RB 39713 7719 15 executed execute VBN 39713 7719 16 an an DT 39713 7719 17 enterprise enterprise NN 39713 7719 18 truly truly RB 39713 7719 19 audacious audacious JJ 39713 7719 20 , , , 39713 7719 21 the the DT 39713 7719 22 junction junction NN 39713 7719 23 of of IN 39713 7719 24 Spain Spain NNP 39713 7719 25 and and CC 39713 7719 26 Africa Africa NNP 39713 7719 27 . . . 39713 7720 1 Stations station NNS 39713 7720 2 were be VBD 39713 7720 3 installed instal VBN 39713 7720 4 on on IN 39713 7720 5 four four CD 39713 7720 6 peaks peak NNS 39713 7720 7 upon upon IN 39713 7720 8 the the DT 39713 7720 9 two two CD 39713 7720 10 sides side NNS 39713 7720 11 of of IN 39713 7720 12 the the DT 39713 7720 13 Mediterranean Mediterranean NNP 39713 7720 14 . . . 39713 7721 1 For for IN 39713 7721 2 long long JJ 39713 7721 3 months month NNS 39713 7721 4 they -PRON- PRP 39713 7721 5 awaited await VBD 39713 7721 6 a a DT 39713 7721 7 calm calm JJ 39713 7721 8 and and CC 39713 7721 9 limpid limpid JJ 39713 7721 10 atmosphere atmosphere NN 39713 7721 11 . . . 39713 7722 1 At at IN 39713 7722 2 last last JJ 39713 7722 3 was be VBD 39713 7722 4 seen see VBN 39713 7722 5 the the DT 39713 7722 6 little little JJ 39713 7722 7 thread thread NN 39713 7722 8 of of IN 39713 7722 9 light light NN 39713 7722 10 which which WDT 39713 7722 11 had have VBD 39713 7722 12 traversed traverse VBN 39713 7722 13 300 300 CD 39713 7722 14 kilometers kilometer NNS 39713 7722 15 over over IN 39713 7722 16 the the DT 39713 7722 17 sea sea NN 39713 7722 18 . . . 39713 7723 1 The the DT 39713 7723 2 undertaking undertaking NN 39713 7723 3 had have VBD 39713 7723 4 succeeded succeed VBN 39713 7723 5 . . . 39713 7724 1 To to NN 39713 7724 2 - - HYPH 39713 7724 3 day day NN 39713 7724 4 have have VBP 39713 7724 5 been be VBN 39713 7724 6 conceived conceive VBN 39713 7724 7 projects project NNS 39713 7724 8 still still RB 39713 7724 9 more more RBR 39713 7724 10 bold bold JJ 39713 7724 11 . . . 39713 7725 1 From from IN 39713 7725 2 a a DT 39713 7725 3 mountain mountain NN 39713 7725 4 near near IN 39713 7725 5 Nice Nice NNP 39713 7725 6 will will MD 39713 7725 7 be be VB 39713 7725 8 sent send VBN 39713 7725 9 signals signal NNS 39713 7725 10 to to IN 39713 7725 11 Corsica Corsica NNP 39713 7725 12 , , , 39713 7725 13 not not RB 39713 7725 14 now now RB 39713 7725 15 for for IN 39713 7725 16 geodesic geodesic NN 39713 7725 17 determinations determination NNS 39713 7725 18 , , , 39713 7725 19 but but CC 39713 7725 20 to to TO 39713 7725 21 measure measure VB 39713 7725 22 the the DT 39713 7725 23 velocity velocity NN 39713 7725 24 of of IN 39713 7725 25 light light NN 39713 7725 26 . . . 39713 7726 1 The the DT 39713 7726 2 distance distance NN 39713 7726 3 is be VBZ 39713 7726 4 only only RB 39713 7726 5 200 200 CD 39713 7726 6 kilometers kilometer NNS 39713 7726 7 ; ; : 39713 7726 8 but but CC 39713 7726 9 the the DT 39713 7726 10 ray ray NN 39713 7726 11 of of IN 39713 7726 12 light light NN 39713 7726 13 is be VBZ 39713 7726 14 to to TO 39713 7726 15 make make VB 39713 7726 16 the the DT 39713 7726 17 journey journey NN 39713 7726 18 there there RB 39713 7726 19 and and CC 39713 7726 20 return return VB 39713 7726 21 , , , 39713 7726 22 after after IN 39713 7726 23 reflection reflection NN 39713 7726 24 by by IN 39713 7726 25 a a DT 39713 7726 26 mirror mirror NN 39713 7726 27 installed instal VBN 39713 7726 28 in in IN 39713 7726 29 Corsica Corsica NNP 39713 7726 30 . . . 39713 7727 1 And and CC 39713 7727 2 it -PRON- PRP 39713 7727 3 should should MD 39713 7727 4 not not RB 39713 7727 5 wander wander VB 39713 7727 6 on on IN 39713 7727 7 the the DT 39713 7727 8 way way NN 39713 7727 9 , , , 39713 7727 10 for for IN 39713 7727 11 it -PRON- PRP 39713 7727 12 must must MD 39713 7727 13 return return VB 39713 7727 14 exactly exactly RB 39713 7727 15 to to IN 39713 7727 16 the the DT 39713 7727 17 point point NN 39713 7727 18 of of IN 39713 7727 19 departure departure NN 39713 7727 20 . . . 39713 7728 1 Ever ever RB 39713 7728 2 since since IN 39713 7728 3 , , , 39713 7728 4 the the DT 39713 7728 5 activity activity NN 39713 7728 6 of of IN 39713 7728 7 French french JJ 39713 7728 8 geodesy geodesy NN 39713 7728 9 has have VBZ 39713 7728 10 never never RB 39713 7728 11 slackened slacken VBN 39713 7728 12 . . . 39713 7729 1 We -PRON- PRP 39713 7729 2 have have VBP 39713 7729 3 no no DT 39713 7729 4 more more RBR 39713 7729 5 such such JJ 39713 7729 6 astonishing astonishing JJ 39713 7729 7 adventures adventure NNS 39713 7729 8 to to TO 39713 7729 9 tell tell VB 39713 7729 10 ; ; : 39713 7729 11 but but CC 39713 7729 12 the the DT 39713 7729 13 scientific scientific JJ 39713 7729 14 work work NN 39713 7729 15 accomplished accomplish VBN 39713 7729 16 is be VBZ 39713 7729 17 immense immense JJ 39713 7729 18 . . . 39713 7730 1 The the DT 39713 7730 2 territory territory NN 39713 7730 3 of of IN 39713 7730 4 France France NNP 39713 7730 5 beyond beyond IN 39713 7730 6 the the DT 39713 7730 7 sea sea NN 39713 7730 8 , , , 39713 7730 9 like like IN 39713 7730 10 that that DT 39713 7730 11 of of IN 39713 7730 12 the the DT 39713 7730 13 mother mother NN 39713 7730 14 country country NN 39713 7730 15 , , , 39713 7730 16 is be VBZ 39713 7730 17 covered cover VBN 39713 7730 18 by by IN 39713 7730 19 triangles triangle NNS 39713 7730 20 measured measure VBN 39713 7730 21 with with IN 39713 7730 22 precision precision NN 39713 7730 23 . . . 39713 7731 1 We -PRON- PRP 39713 7731 2 have have VBP 39713 7731 3 become become VBN 39713 7731 4 more more RBR 39713 7731 5 and and CC 39713 7731 6 more more RBR 39713 7731 7 exacting exacting JJ 39713 7731 8 and and CC 39713 7731 9 what what WP 39713 7731 10 our -PRON- PRP$ 39713 7731 11 fathers father NNS 39713 7731 12 admired admire VBD 39713 7731 13 does do VBZ 39713 7731 14 not not RB 39713 7731 15 satisfy satisfy VB 39713 7731 16 us -PRON- PRP 39713 7731 17 to to IN 39713 7731 18 - - HYPH 39713 7731 19 day day NN 39713 7731 20 . . . 39713 7732 1 But but CC 39713 7732 2 in in IN 39713 7732 3 proportion proportion NN 39713 7732 4 as as IN 39713 7732 5 we -PRON- PRP 39713 7732 6 seek seek VBP 39713 7732 7 more more JJR 39713 7732 8 exactitude exactitude NN 39713 7732 9 , , , 39713 7732 10 the the DT 39713 7732 11 difficulties difficulty NNS 39713 7732 12 greatly greatly RB 39713 7732 13 increase increase VBP 39713 7732 14 ; ; : 39713 7732 15 we -PRON- PRP 39713 7732 16 are be VBP 39713 7732 17 surrounded surround VBN 39713 7732 18 by by IN 39713 7732 19 snares snare NNS 39713 7732 20 and and CC 39713 7732 21 must must MD 39713 7732 22 be be VB 39713 7732 23 on on IN 39713 7732 24 our -PRON- PRP$ 39713 7732 25 guard guard NN 39713 7732 26 against against IN 39713 7732 27 a a DT 39713 7732 28 thousand thousand CD 39713 7732 29 unsuspected unsuspected JJ 39713 7732 30 causes cause NNS 39713 7732 31 of of IN 39713 7732 32 error error NN 39713 7732 33 . . . 39713 7733 1 It -PRON- PRP 39713 7733 2 is be VBZ 39713 7733 3 needful needful JJ 39713 7733 4 , , , 39713 7733 5 therefore therefore RB 39713 7733 6 , , , 39713 7733 7 to to TO 39713 7733 8 create create VB 39713 7733 9 instruments instrument NNS 39713 7733 10 more more JJR 39713 7733 11 and and CC 39713 7733 12 more more RBR 39713 7733 13 faultless faultless NN 39713 7733 14 . . . 39713 7734 1 Here here RB 39713 7734 2 again again RB 39713 7734 3 France France NNP 39713 7734 4 has have VBZ 39713 7734 5 not not RB 39713 7734 6 let let VBN 39713 7734 7 herself -PRON- PRP 39713 7734 8 be be VB 39713 7734 9 distanced distance VBN 39713 7734 10 . . . 39713 7735 1 Our -PRON- PRP$ 39713 7735 2 appliances appliance NNS 39713 7735 3 for for IN 39713 7735 4 the the DT 39713 7735 5 measurement measurement NN 39713 7735 6 of of IN 39713 7735 7 bases basis NNS 39713 7735 8 and and CC 39713 7735 9 angles angle NNS 39713 7735 10 leave leave VBP 39713 7735 11 nothing nothing NN 39713 7735 12 to to TO 39713 7735 13 desire desire VB 39713 7735 14 , , , 39713 7735 15 and and CC 39713 7735 16 , , , 39713 7735 17 I -PRON- PRP 39713 7735 18 may may MD 39713 7735 19 also also RB 39713 7735 20 mention mention VB 39713 7735 21 the the DT 39713 7735 22 pendulum pendulum NN 39713 7735 23 of of IN 39713 7735 24 Colonel Colonel NNP 39713 7735 25 Defforges Defforges NNP 39713 7735 26 , , , 39713 7735 27 which which WDT 39713 7735 28 enables enable VBZ 39713 7735 29 us -PRON- PRP 39713 7735 30 to to TO 39713 7735 31 determine determine VB 39713 7735 32 gravity gravity NN 39713 7735 33 with with IN 39713 7735 34 a a DT 39713 7735 35 precision precision NN 39713 7735 36 hitherto hitherto NNP 39713 7735 37 unknown unknown JJ 39713 7735 38 . . . 39713 7736 1 The the DT 39713 7736 2 future future NN 39713 7736 3 of of IN 39713 7736 4 French french JJ 39713 7736 5 geodesy geodesy NN 39713 7736 6 is be VBZ 39713 7736 7 at at IN 39713 7736 8 present present JJ 39713 7736 9 in in IN 39713 7736 10 the the DT 39713 7736 11 hands hand NNS 39713 7736 12 of of IN 39713 7736 13 the the DT 39713 7736 14 Geographic Geographic NNP 39713 7736 15 Service Service NNP 39713 7736 16 of of IN 39713 7736 17 the the DT 39713 7736 18 army army NN 39713 7736 19 , , , 39713 7736 20 successively successively RB 39713 7736 21 directed direct VBN 39713 7736 22 by by IN 39713 7736 23 General General NNP 39713 7736 24 Bassot Bassot NNP 39713 7736 25 and and CC 39713 7736 26 General General NNP 39713 7736 27 Berthaut Berthaut NNP 39713 7736 28 . . . 39713 7737 1 We -PRON- PRP 39713 7737 2 can can MD 39713 7737 3 not not RB 39713 7737 4 sufficiently sufficiently RB 39713 7737 5 congratulate congratulate VB 39713 7737 6 ourselves -PRON- PRP 39713 7737 7 upon upon IN 39713 7737 8 it -PRON- PRP 39713 7737 9 . . . 39713 7738 1 For for IN 39713 7738 2 success success NN 39713 7738 3 in in IN 39713 7738 4 geodesy geodesy JJ 39713 7738 5 , , , 39713 7738 6 scientific scientific JJ 39713 7738 7 aptitudes aptitude NNS 39713 7738 8 are be VBP 39713 7738 9 not not RB 39713 7738 10 enough enough JJ 39713 7738 11 ; ; : 39713 7738 12 it -PRON- PRP 39713 7738 13 is be VBZ 39713 7738 14 necessary necessary JJ 39713 7738 15 to to TO 39713 7738 16 be be VB 39713 7738 17 capable capable JJ 39713 7738 18 of of IN 39713 7738 19 standing stand VBG 39713 7738 20 long long JJ 39713 7738 21 fatigues fatigue NNS 39713 7738 22 in in IN 39713 7738 23 all all DT 39713 7738 24 sorts sort NNS 39713 7738 25 of of IN 39713 7738 26 climates climate NNS 39713 7738 27 ; ; : 39713 7738 28 the the DT 39713 7738 29 chief chief NN 39713 7738 30 must must MD 39713 7738 31 be be VB 39713 7738 32 able able JJ 39713 7738 33 to to TO 39713 7738 34 win win VB 39713 7738 35 obedience obedience NN 39713 7738 36 from from IN 39713 7738 37 his -PRON- PRP$ 39713 7738 38 collaborators collaborator NNS 39713 7738 39 and and CC 39713 7738 40 to to TO 39713 7738 41 make make VB 39713 7738 42 obedient obedient JJ 39713 7738 43 his -PRON- PRP$ 39713 7738 44 native native JJ 39713 7738 45 auxiliaries auxiliary NNS 39713 7738 46 . . . 39713 7739 1 These these DT 39713 7739 2 are be VBP 39713 7739 3 military military JJ 39713 7739 4 qualities quality NNS 39713 7739 5 . . . 39713 7740 1 Besides besides RB 39713 7740 2 , , , 39713 7740 3 one one PRP 39713 7740 4 knows know VBZ 39713 7740 5 that that IN 39713 7740 6 , , , 39713 7740 7 in in IN 39713 7740 8 our -PRON- PRP$ 39713 7740 9 army army NN 39713 7740 10 , , , 39713 7740 11 science science NN 39713 7740 12 has have VBZ 39713 7740 13 always always RB 39713 7740 14 marched march VBN 39713 7740 15 shoulder shoulder NN 39713 7740 16 to to TO 39713 7740 17 shoulder shoulder VB 39713 7740 18 with with IN 39713 7740 19 courage courage NN 39713 7740 20 . . . 39713 7741 1 I -PRON- PRP 39713 7741 2 add add VBP 39713 7741 3 that that IN 39713 7741 4 a a DT 39713 7741 5 military military JJ 39713 7741 6 organization organization NN 39713 7741 7 assures assure VBZ 39713 7741 8 the the DT 39713 7741 9 indispensable indispensable JJ 39713 7741 10 unity unity NN 39713 7741 11 of of IN 39713 7741 12 action action NN 39713 7741 13 . . . 39713 7742 1 It -PRON- PRP 39713 7742 2 would would MD 39713 7742 3 be be VB 39713 7742 4 more more RBR 39713 7742 5 difficult difficult JJ 39713 7742 6 to to TO 39713 7742 7 reconcile reconcile VB 39713 7742 8 the the DT 39713 7742 9 rival rival JJ 39713 7742 10 pretensions pretension NNS 39713 7742 11 of of IN 39713 7742 12 scientists scientist NNS 39713 7742 13 jealous jealous JJ 39713 7742 14 of of IN 39713 7742 15 their -PRON- PRP$ 39713 7742 16 independence independence NN 39713 7742 17 , , , 39713 7742 18 solicitous solicitous JJ 39713 7742 19 of of IN 39713 7742 20 what what WP 39713 7742 21 they -PRON- PRP 39713 7742 22 call call VBP 39713 7742 23 their -PRON- PRP$ 39713 7742 24 fame fame NN 39713 7742 25 , , , 39713 7742 26 and and CC 39713 7742 27 who who WP 39713 7742 28 yet yet RB 39713 7742 29 must must MD 39713 7742 30 work work VB 39713 7742 31 in in IN 39713 7742 32 concert concert NN 39713 7742 33 , , , 39713 7742 34 though though IN 39713 7742 35 separated separate VBN 39713 7742 36 by by IN 39713 7742 37 great great JJ 39713 7742 38 distances distance NNS 39713 7742 39 . . . 39713 7743 1 Among among IN 39713 7743 2 the the DT 39713 7743 3 geodesists geodesist NNS 39713 7743 4 of of IN 39713 7743 5 former former JJ 39713 7743 6 times time NNS 39713 7743 7 there there EX 39713 7743 8 were be VBD 39713 7743 9 often often RB 39713 7743 10 discussions discussion NNS 39713 7743 11 , , , 39713 7743 12 of of IN 39713 7743 13 which which WDT 39713 7743 14 some some DT 39713 7743 15 aroused arouse VBD 39713 7743 16 long long JJ 39713 7743 17 echoes echo NNS 39713 7743 18 . . . 39713 7744 1 The the DT 39713 7744 2 Academy Academy NNP 39713 7744 3 long long RB 39713 7744 4 resounded resound VBD 39713 7744 5 with with IN 39713 7744 6 the the DT 39713 7744 7 quarrel quarrel NN 39713 7744 8 of of IN 39713 7744 9 Bouguer Bouguer NNP 39713 7744 10 and and CC 39713 7744 11 La La NNP 39713 7744 12 Condamine Condamine NNP 39713 7744 13 . . . 39713 7745 1 I -PRON- PRP 39713 7745 2 do do VBP 39713 7745 3 not not RB 39713 7745 4 mean mean VB 39713 7745 5 to to TO 39713 7745 6 say say VB 39713 7745 7 that that IN 39713 7745 8 soldiers soldier NNS 39713 7745 9 are be VBP 39713 7745 10 exempt exempt JJ 39713 7745 11 from from IN 39713 7745 12 passion passion NN 39713 7745 13 , , , 39713 7745 14 but but CC 39713 7745 15 discipline discipline NN 39713 7745 16 imposes impose VBZ 39713 7745 17 silence silence NN 39713 7745 18 upon upon IN 39713 7745 19 a a DT 39713 7745 20 too too RB 39713 7745 21 sensitive sensitive JJ 39713 7745 22 self self NN 39713 7745 23 - - HYPH 39713 7745 24 esteem esteem NN 39713 7745 25 . . . 39713 7746 1 Several several JJ 39713 7746 2 foreign foreign JJ 39713 7746 3 governments government NNS 39713 7746 4 have have VBP 39713 7746 5 called call VBN 39713 7746 6 upon upon IN 39713 7746 7 our -PRON- PRP$ 39713 7746 8 officers officer NNS 39713 7746 9 to to TO 39713 7746 10 organize organize VB 39713 7746 11 their -PRON- PRP$ 39713 7746 12 geodesic geodesic NN 39713 7746 13 service service NN 39713 7746 14 : : : 39713 7746 15 this this DT 39713 7746 16 is be VBZ 39713 7746 17 proof proof NN 39713 7746 18 that that IN 39713 7746 19 the the DT 39713 7746 20 scientific scientific JJ 39713 7746 21 influence influence NN 39713 7746 22 of of IN 39713 7746 23 France France NNP 39713 7746 24 abroad abroad RB 39713 7746 25 has have VBZ 39713 7746 26 not not RB 39713 7746 27 declined decline VBN 39713 7746 28 . . . 39713 7747 1 Our -PRON- PRP$ 39713 7747 2 hydrographic hydrographic JJ 39713 7747 3 engineers engineer NNS 39713 7747 4 contribute contribute VBP 39713 7747 5 also also RB 39713 7747 6 to to IN 39713 7747 7 the the DT 39713 7747 8 common common JJ 39713 7747 9 achievement achievement NN 39713 7747 10 a a DT 39713 7747 11 glorious glorious JJ 39713 7747 12 contingent contingent NN 39713 7747 13 . . . 39713 7748 1 The the DT 39713 7748 2 survey survey NN 39713 7748 3 of of IN 39713 7748 4 our -PRON- PRP$ 39713 7748 5 coasts coast NNS 39713 7748 6 , , , 39713 7748 7 of of IN 39713 7748 8 our -PRON- PRP$ 39713 7748 9 colonies colony NNS 39713 7748 10 , , , 39713 7748 11 the the DT 39713 7748 12 study study NN 39713 7748 13 of of IN 39713 7748 14 the the DT 39713 7748 15 tides tide NNS 39713 7748 16 , , , 39713 7748 17 offer offer VBP 39713 7748 18 them -PRON- PRP 39713 7748 19 a a DT 39713 7748 20 vast vast JJ 39713 7748 21 domain domain NN 39713 7748 22 of of IN 39713 7748 23 research research NN 39713 7748 24 . . . 39713 7749 1 Finally finally RB 39713 7749 2 I -PRON- PRP 39713 7749 3 may may MD 39713 7749 4 mention mention VB 39713 7749 5 the the DT 39713 7749 6 general general JJ 39713 7749 7 leveling leveling NN 39713 7749 8 of of IN 39713 7749 9 France France NNP 39713 7749 10 which which WDT 39713 7749 11 is be VBZ 39713 7749 12 carried carry VBN 39713 7749 13 out out RP 39713 7749 14 by by IN 39713 7749 15 the the DT 39713 7749 16 ingenious ingenious JJ 39713 7749 17 and and CC 39713 7749 18 precise precise JJ 39713 7749 19 methods method NNS 39713 7749 20 of of IN 39713 7749 21 M. M. NNP 39713 7749 22 Lallemand Lallemand NNP 39713 7749 23 . . . 39713 7750 1 With with IN 39713 7750 2 such such JJ 39713 7750 3 men man NNS 39713 7750 4 we -PRON- PRP 39713 7750 5 are be VBP 39713 7750 6 sure sure JJ 39713 7750 7 of of IN 39713 7750 8 the the DT 39713 7750 9 future future NN 39713 7750 10 . . . 39713 7751 1 Moreover moreover RB 39713 7751 2 , , , 39713 7751 3 work work VB 39713 7751 4 for for IN 39713 7751 5 them -PRON- PRP 39713 7751 6 will will MD 39713 7751 7 not not RB 39713 7751 8 be be VB 39713 7751 9 lacking lack VBG 39713 7751 10 ; ; : 39713 7751 11 our -PRON- PRP$ 39713 7751 12 colonial colonial JJ 39713 7751 13 empire empire NN 39713 7751 14 opens open VBZ 39713 7751 15 for for IN 39713 7751 16 them -PRON- PRP 39713 7751 17 immense immense JJ 39713 7751 18 expanses expanse NNS 39713 7751 19 illy illy RB 39713 7751 20 explored explore VBN 39713 7751 21 . . . 39713 7752 1 That that DT 39713 7752 2 is be VBZ 39713 7752 3 not not RB 39713 7752 4 all all DT 39713 7752 5 : : : 39713 7752 6 the the DT 39713 7752 7 International International NNP 39713 7752 8 Geodetic Geodetic NNP 39713 7752 9 Association Association NNP 39713 7752 10 has have VBZ 39713 7752 11 recognized recognize VBN 39713 7752 12 the the DT 39713 7752 13 necessity necessity NN 39713 7752 14 of of IN 39713 7752 15 a a DT 39713 7752 16 new new JJ 39713 7752 17 measurement measurement NN 39713 7752 18 of of IN 39713 7752 19 the the DT 39713 7752 20 arc arc NN 39713 7752 21 of of IN 39713 7752 22 Quito Quito NNP 39713 7752 23 , , , 39713 7752 24 determined determine VBN 39713 7752 25 in in IN 39713 7752 26 days day NNS 39713 7752 27 of of IN 39713 7752 28 yore yore NN 39713 7752 29 by by IN 39713 7752 30 La La NNP 39713 7752 31 Condamine Condamine NNP 39713 7752 32 . . . 39713 7753 1 It -PRON- PRP 39713 7753 2 is be VBZ 39713 7753 3 France France NNP 39713 7753 4 that that WDT 39713 7753 5 has have VBZ 39713 7753 6 been be VBN 39713 7753 7 charged charge VBN 39713 7753 8 with with IN 39713 7753 9 this this DT 39713 7753 10 operation operation NN 39713 7753 11 ; ; : 39713 7753 12 she -PRON- PRP 39713 7753 13 had have VBD 39713 7753 14 every every DT 39713 7753 15 right right NN 39713 7753 16 to to IN 39713 7753 17 it -PRON- PRP 39713 7753 18 , , , 39713 7753 19 since since IN 39713 7753 20 our -PRON- PRP$ 39713 7753 21 ancestors ancestor NNS 39713 7753 22 had have VBD 39713 7753 23 made make VBN 39713 7753 24 , , , 39713 7753 25 so so RB 39713 7753 26 to to TO 39713 7753 27 speak speak VB 39713 7753 28 , , , 39713 7753 29 the the DT 39713 7753 30 scientific scientific JJ 39713 7753 31 conquest conquest NN 39713 7753 32 of of IN 39713 7753 33 the the DT 39713 7753 34 Cordilleras Cordilleras NNP 39713 7753 35 . . . 39713 7754 1 Besides besides IN 39713 7754 2 , , , 39713 7754 3 these these DT 39713 7754 4 rights right NNS 39713 7754 5 have have VBP 39713 7754 6 not not RB 39713 7754 7 been be VBN 39713 7754 8 contested contest VBN 39713 7754 9 and and CC 39713 7754 10 our -PRON- PRP$ 39713 7754 11 government government NN 39713 7754 12 has have VBZ 39713 7754 13 undertaken undertake VBN 39713 7754 14 to to TO 39713 7754 15 exercise exercise VB 39713 7754 16 them -PRON- PRP 39713 7754 17 . . . 39713 7755 1 Captains Captains NNP 39713 7755 2 Maurain Maurain NNP 39713 7755 3 and and CC 39713 7755 4 Lacombe Lacombe NNP 39713 7755 5 completed complete VBD 39713 7755 6 a a DT 39713 7755 7 first first JJ 39713 7755 8 reconnaissance reconnaissance NN 39713 7755 9 , , , 39713 7755 10 and and CC 39713 7755 11 the the DT 39713 7755 12 rapidity rapidity NN 39713 7755 13 with with IN 39713 7755 14 which which WDT 39713 7755 15 they -PRON- PRP 39713 7755 16 accomplished accomplish VBD 39713 7755 17 their -PRON- PRP$ 39713 7755 18 mission mission NN 39713 7755 19 , , , 39713 7755 20 crossing cross VBG 39713 7755 21 the the DT 39713 7755 22 roughest rough JJS 39713 7755 23 regions region NNS 39713 7755 24 and and CC 39713 7755 25 climbing climb VBG 39713 7755 26 the the DT 39713 7755 27 most most RBS 39713 7755 28 precipitous precipitous JJ 39713 7755 29 summits summit NNS 39713 7755 30 , , , 39713 7755 31 is be VBZ 39713 7755 32 worthy worthy JJ 39713 7755 33 of of IN 39713 7755 34 all all DT 39713 7755 35 praise praise NN 39713 7755 36 . . . 39713 7756 1 It -PRON- PRP 39713 7756 2 won win VBD 39713 7756 3 the the DT 39713 7756 4 admiration admiration NN 39713 7756 5 of of IN 39713 7756 6 General General NNP 39713 7756 7 Alfaro Alfaro NNP 39713 7756 8 , , , 39713 7756 9 President President NNP 39713 7756 10 of of IN 39713 7756 11 the the DT 39713 7756 12 Republic Republic NNP 39713 7756 13 of of IN 39713 7756 14 Ecuador Ecuador NNP 39713 7756 15 , , , 39713 7756 16 who who WP 39713 7756 17 called call VBD 39713 7756 18 them -PRON- PRP 39713 7756 19 ' ' '' 39713 7756 20 los los NNP 39713 7756 21 hombres hombres NNP 39713 7756 22 de de FW 39713 7756 23 hierro hierro NNP 39713 7756 24 , , , 39713 7756 25 ' ' '' 39713 7756 26 the the DT 39713 7756 27 men man NNS 39713 7756 28 of of IN 39713 7756 29 iron iron NN 39713 7756 30 . . . 39713 7757 1 The the DT 39713 7757 2 final final JJ 39713 7757 3 commission commission NN 39713 7757 4 then then RB 39713 7757 5 set set VBD 39713 7757 6 out out RP 39713 7757 7 under under IN 39713 7757 8 the the DT 39713 7757 9 command command NN 39713 7757 10 of of IN 39713 7757 11 Lieutenant Lieutenant NNP 39713 7757 12 - - HYPH 39713 7757 13 Colonel Colonel NNP 39713 7757 14 ( ( -LRB- 39713 7757 15 then then RB 39713 7757 16 Major Major NNP 39713 7757 17 ) ) -RRB- 39713 7757 18 Bourgeois Bourgeois NNP 39713 7757 19 . . . 39713 7758 1 The the DT 39713 7758 2 results result NNS 39713 7758 3 obtained obtain VBD 39713 7758 4 have have VBP 39713 7758 5 justified justify VBN 39713 7758 6 the the DT 39713 7758 7 hopes hope NNS 39713 7758 8 entertained entertain VBD 39713 7758 9 . . . 39713 7759 1 But but CC 39713 7759 2 our -PRON- PRP$ 39713 7759 3 officers officer NNS 39713 7759 4 have have VBP 39713 7759 5 encountered encounter VBN 39713 7759 6 unforeseen unforeseen JJ 39713 7759 7 difficulties difficulty NNS 39713 7759 8 due due IN 39713 7759 9 to to IN 39713 7759 10 the the DT 39713 7759 11 climate climate NN 39713 7759 12 . . . 39713 7760 1 More More JJR 39713 7760 2 than than IN 39713 7760 3 once once RB 39713 7760 4 , , , 39713 7760 5 one one CD 39713 7760 6 of of IN 39713 7760 7 them -PRON- PRP 39713 7760 8 has have VBZ 39713 7760 9 been be VBN 39713 7760 10 forced force VBN 39713 7760 11 to to TO 39713 7760 12 remain remain VB 39713 7760 13 several several JJ 39713 7760 14 months month NNS 39713 7760 15 at at IN 39713 7760 16 an an DT 39713 7760 17 altitude altitude NN 39713 7760 18 of of IN 39713 7760 19 4,000 4,000 CD 39713 7760 20 meters meter NNS 39713 7760 21 , , , 39713 7760 22 in in IN 39713 7760 23 the the DT 39713 7760 24 clouds cloud NNS 39713 7760 25 and and CC 39713 7760 26 the the DT 39713 7760 27 snow snow NN 39713 7760 28 , , , 39713 7760 29 without without IN 39713 7760 30 seeing see VBG 39713 7760 31 anything anything NN 39713 7760 32 of of IN 39713 7760 33 the the DT 39713 7760 34 signals signal NNS 39713 7760 35 he -PRON- PRP 39713 7760 36 had have VBD 39713 7760 37 to to TO 39713 7760 38 aim aim VB 39713 7760 39 at at IN 39713 7760 40 and and CC 39713 7760 41 which which WDT 39713 7760 42 refused refuse VBD 39713 7760 43 to to TO 39713 7760 44 unmask unmask VB 39713 7760 45 themselves -PRON- PRP 39713 7760 46 . . . 39713 7761 1 But but CC 39713 7761 2 thanks thank NNS 39713 7761 3 to to IN 39713 7761 4 their -PRON- PRP$ 39713 7761 5 perseverance perseverance NN 39713 7761 6 and and CC 39713 7761 7 courage courage NN 39713 7761 8 , , , 39713 7761 9 there there EX 39713 7761 10 resulted result VBD 39713 7761 11 from from IN 39713 7761 12 this this DT 39713 7761 13 only only RB 39713 7761 14 a a DT 39713 7761 15 delay delay NN 39713 7761 16 and and CC 39713 7761 17 an an DT 39713 7761 18 increase increase NN 39713 7761 19 of of IN 39713 7761 20 expense expense NN 39713 7761 21 , , , 39713 7761 22 without without IN 39713 7761 23 the the DT 39713 7761 24 exactitude exactitude NN 39713 7761 25 of of IN 39713 7761 26 the the DT 39713 7761 27 measurements measurement NNS 39713 7761 28 suffering suffer VBG 39713 7761 29 therefrom therefrom NNP 39713 7761 30 . . . 39713 7762 1 GENERAL GENERAL NNP 39713 7762 2 CONCLUSIONS conclusion NNS 39713 7762 3 What what WP 39713 7762 4 I -PRON- PRP 39713 7762 5 have have VBP 39713 7762 6 sought seek VBN 39713 7762 7 to to TO 39713 7762 8 explain explain VB 39713 7762 9 in in IN 39713 7762 10 the the DT 39713 7762 11 preceding precede VBG 39713 7762 12 pages page NNS 39713 7762 13 is be VBZ 39713 7762 14 how how WRB 39713 7762 15 the the DT 39713 7762 16 scientist scientist NN 39713 7762 17 should should MD 39713 7762 18 guide guide VB 39713 7762 19 himself -PRON- PRP 39713 7762 20 in in IN 39713 7762 21 choosing choose VBG 39713 7762 22 among among IN 39713 7762 23 the the DT 39713 7762 24 innumerable innumerable JJ 39713 7762 25 facts fact NNS 39713 7762 26 offered offer VBD 39713 7762 27 to to IN 39713 7762 28 his -PRON- PRP$ 39713 7762 29 curiosity curiosity NN 39713 7762 30 , , , 39713 7762 31 since since IN 39713 7762 32 indeed indeed RB 39713 7762 33 the the DT 39713 7762 34 natural natural JJ 39713 7762 35 limitations limitation NNS 39713 7762 36 of of IN 39713 7762 37 his -PRON- PRP$ 39713 7762 38 mind mind NN 39713 7762 39 compel compel VBP 39713 7762 40 him -PRON- PRP 39713 7762 41 to to TO 39713 7762 42 make make VB 39713 7762 43 a a DT 39713 7762 44 choice choice NN 39713 7762 45 , , , 39713 7762 46 even even RB 39713 7762 47 though though IN 39713 7762 48 a a DT 39713 7762 49 choice choice NN 39713 7762 50 be be VB 39713 7762 51 always always RB 39713 7762 52 a a DT 39713 7762 53 sacrifice sacrifice NN 39713 7762 54 . . . 39713 7763 1 I -PRON- PRP 39713 7763 2 have have VBP 39713 7763 3 expounded expound VBN 39713 7763 4 it -PRON- PRP 39713 7763 5 first first RB 39713 7763 6 by by IN 39713 7763 7 general general JJ 39713 7763 8 considerations consideration NNS 39713 7763 9 , , , 39713 7763 10 recalling recall VBG 39713 7763 11 on on IN 39713 7763 12 the the DT 39713 7763 13 one one CD 39713 7763 14 hand hand NN 39713 7763 15 the the DT 39713 7763 16 nature nature NN 39713 7763 17 of of IN 39713 7763 18 the the DT 39713 7763 19 problem problem NN 39713 7763 20 to to TO 39713 7763 21 be be VB 39713 7763 22 solved solve VBN 39713 7763 23 and and CC 39713 7763 24 on on IN 39713 7763 25 the the DT 39713 7763 26 other other JJ 39713 7763 27 hand hand NN 39713 7763 28 seeking seek VBG 39713 7763 29 to to TO 39713 7763 30 better better RB 39713 7763 31 comprehend comprehend VB 39713 7763 32 that that DT 39713 7763 33 of of IN 39713 7763 34 the the DT 39713 7763 35 human human JJ 39713 7763 36 mind mind NN 39713 7763 37 , , , 39713 7763 38 which which WDT 39713 7763 39 is be VBZ 39713 7763 40 the the DT 39713 7763 41 principal principal JJ 39713 7763 42 instrument instrument NN 39713 7763 43 of of IN 39713 7763 44 the the DT 39713 7763 45 solution solution NN 39713 7763 46 . . . 39713 7764 1 I -PRON- PRP 39713 7764 2 then then RB 39713 7764 3 have have VBP 39713 7764 4 explained explain VBN 39713 7764 5 it -PRON- PRP 39713 7764 6 by by IN 39713 7764 7 examples example NNS 39713 7764 8 ; ; : 39713 7764 9 I -PRON- PRP 39713 7764 10 have have VBP 39713 7764 11 not not RB 39713 7764 12 multiplied multiply VBN 39713 7764 13 them -PRON- PRP 39713 7764 14 indefinitely indefinitely RB 39713 7764 15 ; ; : 39713 7764 16 I -PRON- PRP 39713 7764 17 also also RB 39713 7764 18 have have VBP 39713 7764 19 had have VBN 39713 7764 20 to to TO 39713 7764 21 make make VB 39713 7764 22 a a DT 39713 7764 23 choice choice NN 39713 7764 24 , , , 39713 7764 25 and and CC 39713 7764 26 I -PRON- PRP 39713 7764 27 have have VBP 39713 7764 28 chosen choose VBN 39713 7764 29 naturally naturally RB 39713 7764 30 the the DT 39713 7764 31 questions question NNS 39713 7764 32 I -PRON- PRP 39713 7764 33 had have VBD 39713 7764 34 studied study VBN 39713 7764 35 most most RBS 39713 7764 36 . . . 39713 7765 1 Others other NNS 39713 7765 2 would would MD 39713 7765 3 doubtless doubtless RB 39713 7765 4 have have VB 39713 7765 5 made make VBN 39713 7765 6 a a DT 39713 7765 7 different different JJ 39713 7765 8 choice choice NN 39713 7765 9 ; ; : 39713 7765 10 but but CC 39713 7765 11 what what WDT 39713 7765 12 difference difference NN 39713 7765 13 , , , 39713 7765 14 because because IN 39713 7765 15 I -PRON- PRP 39713 7765 16 believe believe VBP 39713 7765 17 they -PRON- PRP 39713 7765 18 would would MD 39713 7765 19 have have VB 39713 7765 20 reached reach VBN 39713 7765 21 the the DT 39713 7765 22 same same JJ 39713 7765 23 conclusions conclusion NNS 39713 7765 24 . . . 39713 7766 1 There there EX 39713 7766 2 is be VBZ 39713 7766 3 a a DT 39713 7766 4 hierarchy hierarchy NN 39713 7766 5 of of IN 39713 7766 6 facts fact NNS 39713 7766 7 ; ; : 39713 7766 8 some some DT 39713 7766 9 have have VBP 39713 7766 10 no no DT 39713 7766 11 reach reach NN 39713 7766 12 ; ; : 39713 7766 13 they -PRON- PRP 39713 7766 14 teach teach VBP 39713 7766 15 us -PRON- PRP 39713 7766 16 nothing nothing NN 39713 7766 17 but but IN 39713 7766 18 themselves -PRON- PRP 39713 7766 19 . . . 39713 7767 1 The the DT 39713 7767 2 scientist scientist NN 39713 7767 3 who who WP 39713 7767 4 has have VBZ 39713 7767 5 ascertained ascertain VBN 39713 7767 6 them -PRON- PRP 39713 7767 7 has have VBZ 39713 7767 8 learned learn VBN 39713 7767 9 nothing nothing NN 39713 7767 10 but but IN 39713 7767 11 a a DT 39713 7767 12 fact fact NN 39713 7767 13 , , , 39713 7767 14 and and CC 39713 7767 15 has have VBZ 39713 7767 16 not not RB 39713 7767 17 become become VBN 39713 7767 18 more more RBR 39713 7767 19 capable capable JJ 39713 7767 20 of of IN 39713 7767 21 foreseeing foresee VBG 39713 7767 22 new new JJ 39713 7767 23 facts fact NNS 39713 7767 24 . . . 39713 7768 1 Such such JJ 39713 7768 2 facts fact NNS 39713 7768 3 , , , 39713 7768 4 it -PRON- PRP 39713 7768 5 seems seem VBZ 39713 7768 6 , , , 39713 7768 7 come come VB 39713 7768 8 once once RB 39713 7768 9 , , , 39713 7768 10 but but CC 39713 7768 11 are be VBP 39713 7768 12 not not RB 39713 7768 13 destined destine VBN 39713 7768 14 to to TO 39713 7768 15 reappear reappear VB 39713 7768 16 . . . 39713 7769 1 There there EX 39713 7769 2 are be VBP 39713 7769 3 , , , 39713 7769 4 on on IN 39713 7769 5 the the DT 39713 7769 6 other other JJ 39713 7769 7 hand hand NN 39713 7769 8 , , , 39713 7769 9 facts fact NNS 39713 7769 10 of of IN 39713 7769 11 great great JJ 39713 7769 12 yield yield NN 39713 7769 13 ; ; : 39713 7769 14 each each DT 39713 7769 15 of of IN 39713 7769 16 them -PRON- PRP 39713 7769 17 teaches teach VBZ 39713 7769 18 us -PRON- PRP 39713 7769 19 a a DT 39713 7769 20 new new JJ 39713 7769 21 law law NN 39713 7769 22 . . . 39713 7770 1 And and CC 39713 7770 2 since since IN 39713 7770 3 a a DT 39713 7770 4 choice choice NN 39713 7770 5 must must MD 39713 7770 6 be be VB 39713 7770 7 made make VBN 39713 7770 8 , , , 39713 7770 9 it -PRON- PRP 39713 7770 10 is be VBZ 39713 7770 11 to to IN 39713 7770 12 these these DT 39713 7770 13 that that WDT 39713 7770 14 the the DT 39713 7770 15 scientist scientist NN 39713 7770 16 should should MD 39713 7770 17 devote devote VB 39713 7770 18 himself -PRON- PRP 39713 7770 19 . . . 39713 7771 1 Doubtless doubtless RB 39713 7771 2 this this DT 39713 7771 3 classification classification NN 39713 7771 4 is be VBZ 39713 7771 5 relative relative JJ 39713 7771 6 and and CC 39713 7771 7 depends depend VBZ 39713 7771 8 upon upon IN 39713 7771 9 the the DT 39713 7771 10 weakness weakness NN 39713 7771 11 of of IN 39713 7771 12 our -PRON- PRP$ 39713 7771 13 mind mind NN 39713 7771 14 . . . 39713 7772 1 The the DT 39713 7772 2 facts fact NNS 39713 7772 3 of of IN 39713 7772 4 slight slight JJ 39713 7772 5 outcome outcome NN 39713 7772 6 are be VBP 39713 7772 7 the the DT 39713 7772 8 complex complex JJ 39713 7772 9 facts fact NNS 39713 7772 10 , , , 39713 7772 11 upon upon IN 39713 7772 12 which which WDT 39713 7772 13 various various JJ 39713 7772 14 circumstances circumstance NNS 39713 7772 15 may may MD 39713 7772 16 exercise exercise VB 39713 7772 17 a a DT 39713 7772 18 sensible sensible JJ 39713 7772 19 influence influence NN 39713 7772 20 , , , 39713 7772 21 circumstances circumstance NNS 39713 7772 22 too too RB 39713 7772 23 numerous numerous JJ 39713 7772 24 and and CC 39713 7772 25 too too RB 39713 7772 26 diverse diverse JJ 39713 7772 27 for for IN 39713 7772 28 us -PRON- PRP 39713 7772 29 to to TO 39713 7772 30 discern discern VB 39713 7772 31 them -PRON- PRP 39713 7772 32 all all DT 39713 7772 33 . . . 39713 7773 1 But but CC 39713 7773 2 I -PRON- PRP 39713 7773 3 should should MD 39713 7773 4 rather rather RB 39713 7773 5 say say VB 39713 7773 6 that that IN 39713 7773 7 these these DT 39713 7773 8 are be VBP 39713 7773 9 the the DT 39713 7773 10 facts fact NNS 39713 7773 11 we -PRON- PRP 39713 7773 12 think think VBP 39713 7773 13 complex complex JJ 39713 7773 14 , , , 39713 7773 15 since since IN 39713 7773 16 the the DT 39713 7773 17 intricacy intricacy NN 39713 7773 18 of of IN 39713 7773 19 these these DT 39713 7773 20 circumstances circumstance NNS 39713 7773 21 surpasses surpass VBZ 39713 7773 22 the the DT 39713 7773 23 range range NN 39713 7773 24 of of IN 39713 7773 25 our -PRON- PRP$ 39713 7773 26 mind mind NN 39713 7773 27 . . . 39713 7774 1 Doubtless doubtless RB 39713 7774 2 a a DT 39713 7774 3 mind mind NN 39713 7774 4 vaster vaster NN 39713 7774 5 and and CC 39713 7774 6 finer fine JJR 39713 7774 7 than than IN 39713 7774 8 ours -PRON- PRP 39713 7774 9 would would MD 39713 7774 10 think think VB 39713 7774 11 differently differently RB 39713 7774 12 of of IN 39713 7774 13 them -PRON- PRP 39713 7774 14 . . . 39713 7775 1 But but CC 39713 7775 2 what what WP 39713 7775 3 matter matter NN 39713 7775 4 ; ; : 39713 7775 5 we -PRON- PRP 39713 7775 6 can can MD 39713 7775 7 not not RB 39713 7775 8 use use VB 39713 7775 9 that that DT 39713 7775 10 superior superior JJ 39713 7775 11 mind mind NN 39713 7775 12 , , , 39713 7775 13 but but CC 39713 7775 14 only only RB 39713 7775 15 our -PRON- PRP$ 39713 7775 16 own own JJ 39713 7775 17 . . . 39713 7776 1 The the DT 39713 7776 2 facts fact NNS 39713 7776 3 of of IN 39713 7776 4 great great JJ 39713 7776 5 outcome outcome NN 39713 7776 6 are be VBP 39713 7776 7 those those DT 39713 7776 8 we -PRON- PRP 39713 7776 9 think think VBP 39713 7776 10 simple simple JJ 39713 7776 11 ; ; : 39713 7776 12 may may MD 39713 7776 13 be be VB 39713 7776 14 they -PRON- PRP 39713 7776 15 really really RB 39713 7776 16 are be VBP 39713 7776 17 so so RB 39713 7776 18 , , , 39713 7776 19 because because IN 39713 7776 20 they -PRON- PRP 39713 7776 21 are be VBP 39713 7776 22 influenced influence VBN 39713 7776 23 only only RB 39713 7776 24 by by IN 39713 7776 25 a a DT 39713 7776 26 small small JJ 39713 7776 27 number number NN 39713 7776 28 of of IN 39713 7776 29 well well RB 39713 7776 30 - - HYPH 39713 7776 31 defined define VBN 39713 7776 32 circumstances circumstance NNS 39713 7776 33 , , , 39713 7776 34 may may MD 39713 7776 35 be be VB 39713 7776 36 they -PRON- PRP 39713 7776 37 take take VB 39713 7776 38 on on RP 39713 7776 39 an an DT 39713 7776 40 appearance appearance NN 39713 7776 41 of of IN 39713 7776 42 simplicity simplicity NN 39713 7776 43 because because IN 39713 7776 44 the the DT 39713 7776 45 various various JJ 39713 7776 46 circumstances circumstance NNS 39713 7776 47 upon upon IN 39713 7776 48 which which WDT 39713 7776 49 they -PRON- PRP 39713 7776 50 depend depend VBP 39713 7776 51 obey obey NN 39713 7776 52 the the DT 39713 7776 53 laws law NNS 39713 7776 54 of of IN 39713 7776 55 chance chance NN 39713 7776 56 and and CC 39713 7776 57 so so RB 39713 7776 58 come come VB 39713 7776 59 to to TO 39713 7776 60 mutually mutually RB 39713 7776 61 compensate compensate VB 39713 7776 62 . . . 39713 7777 1 And and CC 39713 7777 2 this this DT 39713 7777 3 is be VBZ 39713 7777 4 what what WP 39713 7777 5 happens happen VBZ 39713 7777 6 most most RBS 39713 7777 7 often often RB 39713 7777 8 . . . 39713 7778 1 And and CC 39713 7778 2 so so RB 39713 7778 3 we -PRON- PRP 39713 7778 4 have have VBP 39713 7778 5 been be VBN 39713 7778 6 obliged oblige VBN 39713 7778 7 to to TO 39713 7778 8 examine examine VB 39713 7778 9 somewhat somewhat RB 39713 7778 10 more more RBR 39713 7778 11 closely closely RB 39713 7778 12 what what WDT 39713 7778 13 chance chance NN 39713 7778 14 is be VBZ 39713 7778 15 . . . 39713 7779 1 Facts fact NNS 39713 7779 2 where where WRB 39713 7779 3 the the DT 39713 7779 4 laws law NNS 39713 7779 5 of of IN 39713 7779 6 chance chance NN 39713 7779 7 apply apply VBP 39713 7779 8 become become VBN 39713 7779 9 easy easy JJ 39713 7779 10 of of IN 39713 7779 11 access access NN 39713 7779 12 to to IN 39713 7779 13 the the DT 39713 7779 14 scientist scientist NN 39713 7779 15 who who WP 39713 7779 16 would would MD 39713 7779 17 be be VB 39713 7779 18 discouraged discourage VBN 39713 7779 19 before before IN 39713 7779 20 the the DT 39713 7779 21 extraordinary extraordinary JJ 39713 7779 22 complication complication NN 39713 7779 23 of of IN 39713 7779 24 the the DT 39713 7779 25 problems problem NNS 39713 7779 26 where where WRB 39713 7779 27 these these DT 39713 7779 28 laws law NNS 39713 7779 29 are be VBP 39713 7779 30 not not RB 39713 7779 31 applicable applicable JJ 39713 7779 32 . . . 39713 7780 1 We -PRON- PRP 39713 7780 2 have have VBP 39713 7780 3 seen see VBN 39713 7780 4 that that IN 39713 7780 5 these these DT 39713 7780 6 considerations consideration NNS 39713 7780 7 apply apply VBP 39713 7780 8 not not RB 39713 7780 9 only only RB 39713 7780 10 to to IN 39713 7780 11 the the DT 39713 7780 12 physical physical JJ 39713 7780 13 sciences science NNS 39713 7780 14 , , , 39713 7780 15 but but CC 39713 7780 16 to to IN 39713 7780 17 the the DT 39713 7780 18 mathematical mathematical JJ 39713 7780 19 sciences science NNS 39713 7780 20 . . . 39713 7781 1 The the DT 39713 7781 2 method method NN 39713 7781 3 of of IN 39713 7781 4 demonstration demonstration NN 39713 7781 5 is be VBZ 39713 7781 6 not not RB 39713 7781 7 the the DT 39713 7781 8 same same JJ 39713 7781 9 for for IN 39713 7781 10 the the DT 39713 7781 11 physicist physicist NN 39713 7781 12 and and CC 39713 7781 13 the the DT 39713 7781 14 mathematician mathematician NN 39713 7781 15 . . . 39713 7782 1 But but CC 39713 7782 2 the the DT 39713 7782 3 methods method NNS 39713 7782 4 of of IN 39713 7782 5 invention invention NN 39713 7782 6 are be VBP 39713 7782 7 very very RB 39713 7782 8 much much RB 39713 7782 9 alike alike RB 39713 7782 10 . . . 39713 7783 1 In in IN 39713 7783 2 both both DT 39713 7783 3 cases case NNS 39713 7783 4 they -PRON- PRP 39713 7783 5 consist consist VBP 39713 7783 6 in in IN 39713 7783 7 passing pass VBG 39713 7783 8 up up RP 39713 7783 9 from from IN 39713 7783 10 the the DT 39713 7783 11 fact fact NN 39713 7783 12 to to IN 39713 7783 13 the the DT 39713 7783 14 law law NN 39713 7783 15 , , , 39713 7783 16 and and CC 39713 7783 17 in in IN 39713 7783 18 finding find VBG 39713 7783 19 the the DT 39713 7783 20 facts fact NNS 39713 7783 21 capable capable JJ 39713 7783 22 of of IN 39713 7783 23 leading lead VBG 39713 7783 24 to to IN 39713 7783 25 a a DT 39713 7783 26 law law NN 39713 7783 27 . . . 39713 7784 1 To to TO 39713 7784 2 bring bring VB 39713 7784 3 out out RP 39713 7784 4 this this DT 39713 7784 5 point point NN 39713 7784 6 , , , 39713 7784 7 I -PRON- PRP 39713 7784 8 have have VBP 39713 7784 9 shown show VBN 39713 7784 10 the the DT 39713 7784 11 mind mind NN 39713 7784 12 of of IN 39713 7784 13 the the DT 39713 7784 14 mathematician mathematician NN 39713 7784 15 at at IN 39713 7784 16 work work NN 39713 7784 17 , , , 39713 7784 18 and and CC 39713 7784 19 under under IN 39713 7784 20 three three CD 39713 7784 21 forms form NNS 39713 7784 22 : : : 39713 7784 23 the the DT 39713 7784 24 mind mind NN 39713 7784 25 of of IN 39713 7784 26 the the DT 39713 7784 27 mathematical mathematical JJ 39713 7784 28 inventor inventor NN 39713 7784 29 and and CC 39713 7784 30 creator creator NN 39713 7784 31 ; ; : 39713 7784 32 that that DT 39713 7784 33 of of IN 39713 7784 34 the the DT 39713 7784 35 unconscious unconscious JJ 39713 7784 36 geometer geometer NN 39713 7784 37 who who WP 39713 7784 38 among among IN 39713 7784 39 our -PRON- PRP$ 39713 7784 40 far far RB 39713 7784 41 distant distant JJ 39713 7784 42 ancestors ancestor NNS 39713 7784 43 , , , 39713 7784 44 or or CC 39713 7784 45 in in IN 39713 7784 46 the the DT 39713 7784 47 misty misty JJ 39713 7784 48 years year NNS 39713 7784 49 of of IN 39713 7784 50 our -PRON- PRP$ 39713 7784 51 infancy infancy NN 39713 7784 52 , , , 39713 7784 53 has have VBZ 39713 7784 54 constructed construct VBN 39713 7784 55 for for IN 39713 7784 56 us -PRON- PRP 39713 7784 57 our -PRON- PRP$ 39713 7784 58 instinctive instinctive JJ 39713 7784 59 notion notion NN 39713 7784 60 of of IN 39713 7784 61 space space NN 39713 7784 62 ; ; : 39713 7784 63 that that DT 39713 7784 64 of of IN 39713 7784 65 the the DT 39713 7784 66 adolescent adolescent NN 39713 7784 67 to to IN 39713 7784 68 whom whom WP 39713 7784 69 the the DT 39713 7784 70 teachers teacher NNS 39713 7784 71 of of IN 39713 7784 72 secondary secondary JJ 39713 7784 73 education education NN 39713 7784 74 unveil unveil VBP 39713 7784 75 the the DT 39713 7784 76 first first JJ 39713 7784 77 principles principle NNS 39713 7784 78 of of IN 39713 7784 79 the the DT 39713 7784 80 science science NN 39713 7784 81 , , , 39713 7784 82 seeking seek VBG 39713 7784 83 to to TO 39713 7784 84 give give VB 39713 7784 85 understanding understanding NN 39713 7784 86 of of IN 39713 7784 87 the the DT 39713 7784 88 fundamental fundamental JJ 39713 7784 89 definitions definition NNS 39713 7784 90 . . . 39713 7785 1 Everywhere everywhere RB 39713 7785 2 we -PRON- PRP 39713 7785 3 have have VBP 39713 7785 4 seen see VBN 39713 7785 5 the the DT 39713 7785 6 rôle rôle NN 39713 7785 7 of of IN 39713 7785 8 intuition intuition NN 39713 7785 9 and and CC 39713 7785 10 of of IN 39713 7785 11 the the DT 39713 7785 12 spirit spirit NN 39713 7785 13 of of IN 39713 7785 14 generalization generalization NN 39713 7785 15 without without IN 39713 7785 16 which which WDT 39713 7785 17 these these DT 39713 7785 18 three three CD 39713 7785 19 stages stage NNS 39713 7785 20 of of IN 39713 7785 21 mathematicians mathematician NNS 39713 7785 22 , , , 39713 7785 23 if if IN 39713 7785 24 I -PRON- PRP 39713 7785 25 may may MD 39713 7785 26 so so RB 39713 7785 27 express express VB 39713 7785 28 myself -PRON- PRP 39713 7785 29 , , , 39713 7785 30 would would MD 39713 7785 31 be be VB 39713 7785 32 reduced reduce VBN 39713 7785 33 to to IN 39713 7785 34 an an DT 39713 7785 35 equal equal JJ 39713 7785 36 impotence impotence NN 39713 7785 37 . . . 39713 7786 1 And and CC 39713 7786 2 in in IN 39713 7786 3 the the DT 39713 7786 4 demonstration demonstration NN 39713 7786 5 itself -PRON- PRP 39713 7786 6 , , , 39713 7786 7 the the DT 39713 7786 8 logic logic NN 39713 7786 9 is be VBZ 39713 7786 10 not not RB 39713 7786 11 all all DT 39713 7786 12 ; ; : 39713 7786 13 the the DT 39713 7786 14 true true JJ 39713 7786 15 mathematical mathematical JJ 39713 7786 16 reasoning reasoning NN 39713 7786 17 is be VBZ 39713 7786 18 a a DT 39713 7786 19 veritable veritable JJ 39713 7786 20 induction induction NN 39713 7786 21 , , , 39713 7786 22 different different JJ 39713 7786 23 in in IN 39713 7786 24 many many JJ 39713 7786 25 regards regard NNS 39713 7786 26 from from IN 39713 7786 27 the the DT 39713 7786 28 induction induction NN 39713 7786 29 of of IN 39713 7786 30 physics physics NN 39713 7786 31 , , , 39713 7786 32 but but CC 39713 7786 33 proceeding proceed VBG 39713 7786 34 like like IN 39713 7786 35 it -PRON- PRP 39713 7786 36 from from IN 39713 7786 37 the the DT 39713 7786 38 particular particular JJ 39713 7786 39 to to IN 39713 7786 40 the the DT 39713 7786 41 general general NN 39713 7786 42 . . . 39713 7787 1 All all PDT 39713 7787 2 the the DT 39713 7787 3 efforts effort NNS 39713 7787 4 that that WDT 39713 7787 5 have have VBP 39713 7787 6 been be VBN 39713 7787 7 made make VBN 39713 7787 8 to to TO 39713 7787 9 reverse reverse VB 39713 7787 10 this this DT 39713 7787 11 order order NN 39713 7787 12 and and CC 39713 7787 13 to to TO 39713 7787 14 carry carry VB 39713 7787 15 back back RP 39713 7787 16 mathematical mathematical JJ 39713 7787 17 induction induction NN 39713 7787 18 to to IN 39713 7787 19 the the DT 39713 7787 20 rules rule NNS 39713 7787 21 of of IN 39713 7787 22 logic logic NN 39713 7787 23 have have VBP 39713 7787 24 eventuated eventuate VBN 39713 7787 25 only only RB 39713 7787 26 in in IN 39713 7787 27 failures failure NNS 39713 7787 28 , , , 39713 7787 29 illy illy RB 39713 7787 30 concealed conceal VBN 39713 7787 31 by by IN 39713 7787 32 the the DT 39713 7787 33 employment employment NN 39713 7787 34 of of IN 39713 7787 35 a a DT 39713 7787 36 language language NN 39713 7787 37 inaccessible inaccessible JJ 39713 7787 38 to to IN 39713 7787 39 the the DT 39713 7787 40 uninitiated uninitiated JJ 39713 7787 41 . . . 39713 7788 1 The the DT 39713 7788 2 examples example NNS 39713 7788 3 I -PRON- PRP 39713 7788 4 have have VBP 39713 7788 5 taken take VBN 39713 7788 6 from from IN 39713 7788 7 the the DT 39713 7788 8 physical physical JJ 39713 7788 9 sciences science NNS 39713 7788 10 have have VBP 39713 7788 11 shown show VBN 39713 7788 12 us -PRON- PRP 39713 7788 13 very very RB 39713 7788 14 different different JJ 39713 7788 15 cases case NNS 39713 7788 16 of of IN 39713 7788 17 facts fact NNS 39713 7788 18 of of IN 39713 7788 19 great great JJ 39713 7788 20 outcome outcome NN 39713 7788 21 . . . 39713 7789 1 An an DT 39713 7789 2 experiment experiment NN 39713 7789 3 of of IN 39713 7789 4 Kaufmann Kaufmann NNP 39713 7789 5 on on IN 39713 7789 6 radium radium NN 39713 7789 7 rays ray NNS 39713 7789 8 revolutionizes revolutionize NNS 39713 7789 9 at at IN 39713 7789 10 the the DT 39713 7789 11 same same JJ 39713 7789 12 time time NN 39713 7789 13 mechanics mechanic NNS 39713 7789 14 , , , 39713 7789 15 optics optic NNS 39713 7789 16 and and CC 39713 7789 17 astronomy astronomy NN 39713 7789 18 . . . 39713 7790 1 Why why WRB 39713 7790 2 ? ? . 39713 7791 1 Because because IN 39713 7791 2 in in IN 39713 7791 3 proportion proportion NN 39713 7791 4 as as IN 39713 7791 5 these these DT 39713 7791 6 sciences science NNS 39713 7791 7 have have VBP 39713 7791 8 developed develop VBN 39713 7791 9 , , , 39713 7791 10 we -PRON- PRP 39713 7791 11 have have VBP 39713 7791 12 the the DT 39713 7791 13 better well RBR 39713 7791 14 recognized recognize VBN 39713 7791 15 the the DT 39713 7791 16 bonds bond NNS 39713 7791 17 uniting unite VBG 39713 7791 18 them -PRON- PRP 39713 7791 19 , , , 39713 7791 20 and and CC 39713 7791 21 then then RB 39713 7791 22 we -PRON- PRP 39713 7791 23 have have VBP 39713 7791 24 perceived perceive VBN 39713 7791 25 a a DT 39713 7791 26 species species NN 39713 7791 27 of of IN 39713 7791 28 general general JJ 39713 7791 29 design design NN 39713 7791 30 of of IN 39713 7791 31 the the DT 39713 7791 32 chart chart NN 39713 7791 33 of of IN 39713 7791 34 universal universal JJ 39713 7791 35 science science NNP 39713 7791 36 . . . 39713 7792 1 There there EX 39713 7792 2 are be VBP 39713 7792 3 facts fact NNS 39713 7792 4 common common JJ 39713 7792 5 to to IN 39713 7792 6 several several JJ 39713 7792 7 sciences science NNS 39713 7792 8 , , , 39713 7792 9 which which WDT 39713 7792 10 seem seem VBP 39713 7792 11 the the DT 39713 7792 12 common common JJ 39713 7792 13 source source NN 39713 7792 14 of of IN 39713 7792 15 streams stream NNS 39713 7792 16 diverging diverge VBG 39713 7792 17 in in IN 39713 7792 18 all all DT 39713 7792 19 directions direction NNS 39713 7792 20 and and CC 39713 7792 21 which which WDT 39713 7792 22 are be VBP 39713 7792 23 comparable comparable JJ 39713 7792 24 to to IN 39713 7792 25 that that DT 39713 7792 26 knoll knoll NN 39713 7792 27 of of IN 39713 7792 28 Saint Saint NNP 39713 7792 29 Gothard Gothard NNP 39713 7792 30 whence whence NN 39713 7792 31 spring spring NN 39713 7792 32 waters water NNS 39713 7792 33 which which WDT 39713 7792 34 fertilize fertilize VBP 39713 7792 35 four four CD 39713 7792 36 different different JJ 39713 7792 37 valleys valley NNS 39713 7792 38 . . . 39713 7793 1 And and CC 39713 7793 2 then then RB 39713 7793 3 we -PRON- PRP 39713 7793 4 can can MD 39713 7793 5 make make VB 39713 7793 6 choice choice NN 39713 7793 7 of of IN 39713 7793 8 facts fact NNS 39713 7793 9 with with IN 39713 7793 10 more more JJR 39713 7793 11 discernment discernment NN 39713 7793 12 than than IN 39713 7793 13 our -PRON- PRP$ 39713 7793 14 predecessors predecessor NNS 39713 7793 15 who who WP 39713 7793 16 regarded regard VBD 39713 7793 17 these these DT 39713 7793 18 valleys valley NNS 39713 7793 19 as as IN 39713 7793 20 distinct distinct JJ 39713 7793 21 and and CC 39713 7793 22 separated separate VBN 39713 7793 23 by by IN 39713 7793 24 impassable impassable JJ 39713 7793 25 barriers barrier NNS 39713 7793 26 . . . 39713 7794 1 It -PRON- PRP 39713 7794 2 is be VBZ 39713 7794 3 always always RB 39713 7794 4 simple simple JJ 39713 7794 5 facts fact NNS 39713 7794 6 which which WDT 39713 7794 7 must must MD 39713 7794 8 be be VB 39713 7794 9 chosen choose VBN 39713 7794 10 , , , 39713 7794 11 but but CC 39713 7794 12 among among IN 39713 7794 13 these these DT 39713 7794 14 simple simple JJ 39713 7794 15 facts fact NNS 39713 7794 16 we -PRON- PRP 39713 7794 17 must must MD 39713 7794 18 prefer prefer VB 39713 7794 19 those those DT 39713 7794 20 which which WDT 39713 7794 21 are be VBP 39713 7794 22 situated situate VBN 39713 7794 23 upon upon IN 39713 7794 24 these these DT 39713 7794 25 sorts sort NNS 39713 7794 26 of of IN 39713 7794 27 knolls knoll NNS 39713 7794 28 of of IN 39713 7794 29 Saint Saint NNP 39713 7794 30 Gothard Gothard NNP 39713 7794 31 of of IN 39713 7794 32 which which WDT 39713 7794 33 I -PRON- PRP 39713 7794 34 have have VBP 39713 7794 35 just just RB 39713 7794 36 spoken speak VBN 39713 7794 37 . . . 39713 7795 1 And and CC 39713 7795 2 when when WRB 39713 7795 3 sciences science NNS 39713 7795 4 have have VBP 39713 7795 5 no no DT 39713 7795 6 direct direct JJ 39713 7795 7 bond bond NN 39713 7795 8 , , , 39713 7795 9 they -PRON- PRP 39713 7795 10 still still RB 39713 7795 11 mutually mutually RB 39713 7795 12 throw throw VBP 39713 7795 13 light light NN 39713 7795 14 upon upon IN 39713 7795 15 one one CD 39713 7795 16 another another DT 39713 7795 17 by by IN 39713 7795 18 analogy analogy NN 39713 7795 19 . . . 39713 7796 1 When when WRB 39713 7796 2 we -PRON- PRP 39713 7796 3 studied study VBD 39713 7796 4 the the DT 39713 7796 5 laws law NNS 39713 7796 6 obeyed obey VBN 39713 7796 7 by by IN 39713 7796 8 gases gas NNS 39713 7796 9 we -PRON- PRP 39713 7796 10 knew know VBD 39713 7796 11 we -PRON- PRP 39713 7796 12 had have VBD 39713 7796 13 attacked attack VBN 39713 7796 14 a a DT 39713 7796 15 fact fact NN 39713 7796 16 of of IN 39713 7796 17 great great JJ 39713 7796 18 outcome outcome NN 39713 7796 19 ; ; : 39713 7796 20 and and CC 39713 7796 21 yet yet RB 39713 7796 22 this this DT 39713 7796 23 outcome outcome NN 39713 7796 24 was be VBD 39713 7796 25 still still RB 39713 7796 26 estimated estimate VBN 39713 7796 27 beneath beneath IN 39713 7796 28 its -PRON- PRP$ 39713 7796 29 value value NN 39713 7796 30 , , , 39713 7796 31 since since IN 39713 7796 32 gases gas NNS 39713 7796 33 are be VBP 39713 7796 34 , , , 39713 7796 35 from from IN 39713 7796 36 a a DT 39713 7796 37 certain certain JJ 39713 7796 38 point point NN 39713 7796 39 of of IN 39713 7796 40 view view NN 39713 7796 41 , , , 39713 7796 42 the the DT 39713 7796 43 image image NN 39713 7796 44 of of IN 39713 7796 45 the the DT 39713 7796 46 milky milky NNP 39713 7796 47 way way NN 39713 7796 48 , , , 39713 7796 49 and and CC 39713 7796 50 those those DT 39713 7796 51 facts fact NNS 39713 7796 52 which which WDT 39713 7796 53 seemed seem VBD 39713 7796 54 of of IN 39713 7796 55 interest interest NN 39713 7796 56 only only RB 39713 7796 57 for for IN 39713 7796 58 the the DT 39713 7796 59 physicist physicist NN 39713 7796 60 , , , 39713 7796 61 ere ere NNP 39713 7796 62 long long RB 39713 7796 63 opened open VBD 39713 7796 64 new new JJ 39713 7796 65 vistas vista NNS 39713 7796 66 to to TO 39713 7796 67 astronomy astronomy VB 39713 7796 68 quite quite RB 39713 7796 69 unexpected unexpected JJ 39713 7796 70 . . . 39713 7797 1 And and CC 39713 7797 2 finally finally RB 39713 7797 3 when when WRB 39713 7797 4 the the DT 39713 7797 5 geodesist geodesist NN 39713 7797 6 sees see VBZ 39713 7797 7 it -PRON- PRP 39713 7797 8 is be VBZ 39713 7797 9 necessary necessary JJ 39713 7797 10 to to TO 39713 7797 11 move move VB 39713 7797 12 his -PRON- PRP$ 39713 7797 13 telescope telescope NN 39713 7797 14 some some DT 39713 7797 15 seconds second NNS 39713 7797 16 to to TO 39713 7797 17 see see VB 39713 7797 18 a a DT 39713 7797 19 signal signal NN 39713 7797 20 he -PRON- PRP 39713 7797 21 has have VBZ 39713 7797 22 set set VBN 39713 7797 23 up up RP 39713 7797 24 with with IN 39713 7797 25 great great JJ 39713 7797 26 pains pain NNS 39713 7797 27 , , , 39713 7797 28 this this DT 39713 7797 29 is be VBZ 39713 7797 30 a a DT 39713 7797 31 very very RB 39713 7797 32 small small JJ 39713 7797 33 fact fact NN 39713 7797 34 ; ; : 39713 7797 35 but but CC 39713 7797 36 this this DT 39713 7797 37 is be VBZ 39713 7797 38 a a DT 39713 7797 39 fact fact NN 39713 7797 40 of of IN 39713 7797 41 great great JJ 39713 7797 42 outcome outcome NN 39713 7797 43 , , , 39713 7797 44 not not RB 39713 7797 45 only only RB 39713 7797 46 because because IN 39713 7797 47 this this DT 39713 7797 48 reveals reveal VBZ 39713 7797 49 to to IN 39713 7797 50 him -PRON- PRP 39713 7797 51 the the DT 39713 7797 52 existence existence NN 39713 7797 53 of of IN 39713 7797 54 a a DT 39713 7797 55 small small JJ 39713 7797 56 protuberance protuberance NN 39713 7797 57 upon upon IN 39713 7797 58 the the DT 39713 7797 59 terrestrial terrestrial JJ 39713 7797 60 globe globe NN 39713 7797 61 , , , 39713 7797 62 that that DT 39713 7797 63 little little JJ 39713 7797 64 hump hump NN 39713 7797 65 would would MD 39713 7797 66 be be VB 39713 7797 67 by by IN 39713 7797 68 itself -PRON- PRP 39713 7797 69 of of IN 39713 7797 70 no no DT 39713 7797 71 great great JJ 39713 7797 72 interest interest NN 39713 7797 73 , , , 39713 7797 74 but but CC 39713 7797 75 because because IN 39713 7797 76 this this DT 39713 7797 77 protuberance protuberance NN 39713 7797 78 gives give VBZ 39713 7797 79 him -PRON- PRP 39713 7797 80 information information NN 39713 7797 81 about about IN 39713 7797 82 the the DT 39713 7797 83 distribution distribution NN 39713 7797 84 of of IN 39713 7797 85 matter matter NN 39713 7797 86 in in IN 39713 7797 87 the the DT 39713 7797 88 interior interior NN 39713 7797 89 of of IN 39713 7797 90 the the DT 39713 7797 91 globe globe NN 39713 7797 92 , , , 39713 7797 93 and and CC 39713 7797 94 through through IN 39713 7797 95 that that DT 39713 7797 96 about about IN 39713 7797 97 the the DT 39713 7797 98 past past NN 39713 7797 99 of of IN 39713 7797 100 our -PRON- PRP$ 39713 7797 101 planet planet NN 39713 7797 102 , , , 39713 7797 103 about about IN 39713 7797 104 its -PRON- PRP$ 39713 7797 105 future future NN 39713 7797 106 , , , 39713 7797 107 about about IN 39713 7797 108 the the DT 39713 7797 109 laws law NNS 39713 7797 110 of of IN 39713 7797 111 its -PRON- PRP$ 39713 7797 112 development development NN 39713 7797 113 . . . 39713 7798 1 * * NFP 39713 7798 2 * * NFP 39713 7798 3 * * NFP 39713 7798 4 * * NFP 39713 7798 5 * * NFP 39713 7798 6 INDEX index NN 39713 7798 7 aberration aberration NN 39713 7798 8 of of IN 39713 7798 9 light light NN 39713 7798 10 , , , 39713 7798 11 315 315 CD 39713 7798 12 , , , 39713 7798 13 496 496 CD 39713 7798 14 Abraham Abraham NNP 39713 7798 15 , , , 39713 7798 16 311 311 CD 39713 7798 17 , , , 39713 7798 18 490 490 CD 39713 7798 19 - - SYM 39713 7798 20 1 1 CD 39713 7798 21 , , , 39713 7798 22 505 505 CD 39713 7798 23 - - SYM 39713 7798 24 7 7 CD 39713 7798 25 , , , 39713 7798 26 509 509 CD 39713 7798 27 , , , 39713 7798 28 515 515 CD 39713 7798 29 - - SYM 39713 7798 30 6 6 CD 39713 7798 31 absolute absolute JJ 39713 7798 32 motion motion NN 39713 7798 33 , , , 39713 7798 34 107 107 CD 39713 7798 35 orientation orientation NN 39713 7798 36 , , , 39713 7798 37 83 83 CD 39713 7798 38 space space NN 39713 7798 39 , , , 39713 7798 40 85 85 CD 39713 7798 41 , , , 39713 7798 42 93 93 CD 39713 7798 43 , , , 39713 7798 44 246 246 CD 39713 7798 45 , , , 39713 7798 46 257 257 CD 39713 7798 47 , , , 39713 7798 48 353 353 CD 39713 7798 49 acceleration acceleration NN 39713 7798 50 , , , 39713 7798 51 94 94 CD 39713 7798 52 , , , 39713 7798 53 98 98 CD 39713 7798 54 , , , 39713 7798 55 486 486 CD 39713 7798 56 , , , 39713 7798 57 509 509 CD 39713 7798 58 accidental accidental JJ 39713 7798 59 constant constant NN 39713 7798 60 , , , 39713 7798 61 112 112 CD 39713 7798 62 errors error NNS 39713 7798 63 , , , 39713 7798 64 171 171 CD 39713 7798 65 , , , 39713 7798 66 402 402 CD 39713 7798 67 accommodation accommodation NN 39713 7798 68 of of IN 39713 7798 69 the the DT 39713 7798 70 eyes eye NNS 39713 7798 71 , , , 39713 7798 72 67 67 CD 39713 7798 73 - - SYM 39713 7798 74 8 8 CD 39713 7798 75 action action NN 39713 7798 76 at at IN 39713 7798 77 a a DT 39713 7798 78 distance distance NN 39713 7798 79 , , , 39713 7798 80 137 137 CD 39713 7798 81 addition addition NN 39713 7798 82 , , , 39713 7798 83 34 34 CD 39713 7798 84 aim aim NN 39713 7798 85 of of IN 39713 7798 86 mathematics mathematic NNS 39713 7798 87 , , , 39713 7798 88 280 280 CD 39713 7798 89 alchemists alchemist NNS 39713 7798 90 , , , 39713 7798 91 11 11 CD 39713 7798 92 Alfaro Alfaro NNP 39713 7798 93 , , , 39713 7798 94 543 543 CD 39713 7798 95 algebra algebra NN 39713 7798 96 , , , 39713 7798 97 379 379 CD 39713 7798 98 analogy analogy NN 39713 7798 99 , , , 39713 7798 100 220 220 CD 39713 7798 101 analysis analysis NN 39713 7798 102 , , , 39713 7798 103 218 218 CD 39713 7798 104 - - SYM 39713 7798 105 9 9 CD 39713 7798 106 , , , 39713 7798 107 279 279 CD 39713 7798 108 analysis analysis NN 39713 7798 109 situs situs NN 39713 7798 110 , , , 39713 7798 111 53 53 CD 39713 7798 112 , , , 39713 7798 113 239 239 CD 39713 7798 114 , , , 39713 7798 115 381 381 CD 39713 7798 116 analyst analyst NN 39713 7798 117 , , , 39713 7798 118 210 210 CD 39713 7798 119 , , , 39713 7798 120 221 221 CD 39713 7798 121 ancestral ancestral JJ 39713 7798 122 experience experience NN 39713 7798 123 , , , 39713 7798 124 91 91 CD 39713 7798 125 Andrade Andrade NNP 39713 7798 126 , , , 39713 7798 127 93 93 CD 39713 7798 128 , , , 39713 7798 129 104 104 CD 39713 7798 130 , , , 39713 7798 131 228 228 CD 39713 7798 132 Andrews Andrews NNPS 39713 7798 133 , , , 39713 7798 134 153 153 CD 39713 7798 135 angle angle NN 39713 7798 136 sum sum NN 39713 7798 137 of of IN 39713 7798 138 triangle triangle NN 39713 7798 139 , , , 39713 7798 140 58 58 CD 39713 7798 141 Anglo Anglo NNP 39713 7798 142 - - HYPH 39713 7798 143 Saxons Saxons NNPS 39713 7798 144 , , , 39713 7798 145 3 3 CD 39713 7798 146 antinomies antinomy NNS 39713 7798 147 , , , 39713 7798 148 449 449 CD 39713 7798 149 , , , 39713 7798 150 457 457 CD 39713 7798 151 , , , 39713 7798 152 477 477 CD 39713 7798 153 Arago Arago NNP 39713 7798 154 , , , 39713 7798 155 540 540 CD 39713 7798 156 - - SYM 39713 7798 157 1 1 CD 39713 7798 158 Aristotle Aristotle NNP 39713 7798 159 , , , 39713 7798 160 205 205 CD 39713 7798 161 , , , 39713 7798 162 292 292 CD 39713 7798 163 , , , 39713 7798 164 460 460 CD 39713 7798 165 arithmetic arithmetic JJ 39713 7798 166 , , , 39713 7798 167 34 34 CD 39713 7798 168 , , , 39713 7798 169 379 379 CD 39713 7798 170 , , , 39713 7798 171 441 441 CD 39713 7798 172 , , , 39713 7798 173 463 463 CD 39713 7798 174 associativity associativity NN 39713 7798 175 , , , 39713 7798 176 35 35 CD 39713 7798 177 assumptions assumption NNS 39713 7798 178 , , , 39713 7798 179 451 451 CD 39713 7798 180 , , , 39713 7798 181 453 453 CD 39713 7798 182 astronomy astronomy NN 39713 7798 183 , , , 39713 7798 184 81 81 CD 39713 7798 185 , , , 39713 7798 186 289 289 CD 39713 7798 187 , , , 39713 7798 188 315 315 CD 39713 7798 189 , , , 39713 7798 190 512 512 CD 39713 7798 191 Atwood Atwood NNP 39713 7798 192 , , , 39713 7798 193 446 446 CD 39713 7798 194 axiom axiom NN 39713 7798 195 , , , 39713 7798 196 60 60 CD 39713 7798 197 , , , 39713 7798 198 63 63 CD 39713 7798 199 , , , 39713 7798 200 65 65 CD 39713 7798 201 , , , 39713 7798 202 215 215 CD 39713 7798 203 Bacon Bacon NNP 39713 7798 204 , , , 39713 7798 205 128 128 CD 39713 7798 206 Bartholi Bartholi NNP 39713 7798 207 , , , 39713 7798 208 503 503 CD 39713 7798 209 Bassot bassot NN 39713 7798 210 , , , 39713 7798 211 542 542 CD 39713 7798 212 beauty beauty NN 39713 7798 213 , , , 39713 7798 214 349 349 CD 39713 7798 215 , , , 39713 7798 216 368 368 CD 39713 7798 217 Becquerel Becquerel NNP 39713 7798 218 , , , 39713 7798 219 312 312 CD 39713 7798 220 Beltrami Beltrami NNP 39713 7798 221 , , , 39713 7798 222 56 56 CD 39713 7798 223 , , , 39713 7798 224 58 58 CD 39713 7798 225 Bergson Bergson NNP 39713 7798 226 , , , 39713 7798 227 321 321 CD 39713 7798 228 Berkeley Berkeley NNP 39713 7798 229 , , , 39713 7798 230 4 4 CD 39713 7798 231 Berthaut Berthaut NNP 39713 7798 232 , , , 39713 7798 233 542 542 CD 39713 7798 234 Bertrand Bertrand NNP 39713 7798 235 , , , 39713 7798 236 156 156 CD 39713 7798 237 , , , 39713 7798 238 190 190 CD 39713 7798 239 , , , 39713 7798 240 211 211 CD 39713 7798 241 , , , 39713 7798 242 395 395 CD 39713 7798 243 Betti Betti NNP 39713 7798 244 , , , 39713 7798 245 239 239 CD 39713 7798 246 Biot Biot NNP 39713 7798 247 , , , 39713 7798 248 540 540 CD 39713 7798 249 bodies body NNS 39713 7798 250 , , , 39713 7798 251 solid solid JJ 39713 7798 252 , , , 39713 7798 253 72 72 CD 39713 7798 254 Boltzmann Boltzmann NNP 39713 7798 255 , , , 39713 7798 256 304 304 CD 39713 7798 257 Bolyai Bolyai NNP 39713 7798 258 , , , 39713 7798 259 56 56 CD 39713 7798 260 , , , 39713 7798 261 201 201 CD 39713 7798 262 , , , 39713 7798 263 203 203 CD 39713 7798 264 Borel Borel NNP 39713 7798 265 , , , 39713 7798 266 482 482 CD 39713 7798 267 Bouguer Bouguer NNP 39713 7798 268 , , , 39713 7798 269 537 537 CD 39713 7798 270 , , , 39713 7798 271 542 542 CD 39713 7798 272 Bourgeois Bourgeois NNP 39713 7798 273 , , , 39713 7798 274 543 543 CD 39713 7798 275 Boutroux Boutroux NNP 39713 7798 276 , , , 39713 7798 277 390 390 CD 39713 7798 278 , , , 39713 7798 279 464 464 CD 39713 7798 280 Bradley Bradley NNP 39713 7798 281 , , , 39713 7798 282 496 496 CD 39713 7798 283 Briot Briot NNP 39713 7798 284 , , , 39713 7798 285 298 298 CD 39713 7798 286 Brownian brownian JJ 39713 7798 287 movement movement NN 39713 7798 288 , , , 39713 7798 289 152 152 CD 39713 7798 290 , , , 39713 7798 291 410 410 CD 39713 7798 292 Bucherer Bucherer NNP 39713 7798 293 , , , 39713 7798 294 507 507 CD 39713 7798 295 Burali Burali NNP 39713 7798 296 - - HYPH 39713 7798 297 Forti Forti NNP 39713 7798 298 , , , 39713 7798 299 457 457 CD 39713 7798 300 - - SYM 39713 7798 301 9 9 CD 39713 7798 302 , , , 39713 7798 303 477 477 CD 39713 7798 304 , , , 39713 7798 305 481 481 CD 39713 7798 306 - - SYM 39713 7798 307 2 2 CD 39713 7798 308 Caen Caen NNP 39713 7798 309 , , , 39713 7798 310 387 387 CD 39713 7798 311 - - SYM 39713 7798 312 8 8 CD 39713 7798 313 Calinon Calinon NNP 39713 7798 314 , , , 39713 7798 315 228 228 CD 39713 7798 316 canal canal NN 39713 7798 317 rays ray NNS 39713 7798 318 , , , 39713 7798 319 491 491 CD 39713 7798 320 - - SYM 39713 7798 321 2 2 CD 39713 7798 322 canals canal NNS 39713 7798 323 , , , 39713 7798 324 semicircular semicircular JJ 39713 7798 325 , , , 39713 7798 326 276 276 CD 39713 7798 327 Cantor Cantor NNP 39713 7798 328 , , , 39713 7798 329 11 11 CD 39713 7798 330 , , , 39713 7798 331 448 448 CD 39713 7798 332 - - SYM 39713 7798 333 9 9 CD 39713 7798 334 , , , 39713 7798 335 457 457 CD 39713 7798 336 , , , 39713 7798 337 459 459 CD 39713 7798 338 , , , 39713 7798 339 477 477 CD 39713 7798 340 Cantorism Cantorism NNP 39713 7798 341 , , , 39713 7798 342 381 381 CD 39713 7798 343 , , , 39713 7798 344 382 382 CD 39713 7798 345 , , , 39713 7798 346 480 480 CD 39713 7798 347 , , , 39713 7798 348 484 484 CD 39713 7798 349 capillarity capillarity NN 39713 7798 350 , , , 39713 7798 351 298 298 CD 39713 7798 352 Carlyle Carlyle NNP 39713 7798 353 , , , 39713 7798 354 128 128 CD 39713 7798 355 Carnot Carnot NNP 39713 7798 356 's 's POS 39713 7798 357 principle principle NN 39713 7798 358 , , , 39713 7798 359 143 143 CD 39713 7798 360 , , , 39713 7798 361 151 151 CD 39713 7798 362 , , , 39713 7798 363 300 300 CD 39713 7798 364 , , , 39713 7798 365 303 303 CD 39713 7798 366 - - SYM 39713 7798 367 5 5 CD 39713 7798 368 , , , 39713 7798 369 399 399 CD 39713 7798 370 Cassini Cassini NNP 39713 7798 371 , , , 39713 7798 372 537 537 CD 39713 7798 373 cathode cathode NN 39713 7798 374 rays ray NNS 39713 7798 375 , , , 39713 7798 376 487 487 CD 39713 7798 377 - - SYM 39713 7798 378 92 92 CD 39713 7798 379 cells cell NNS 39713 7798 380 , , , 39713 7798 381 217 217 CD 39713 7798 382 center center NN 39713 7798 383 of of IN 39713 7798 384 gravity gravity NN 39713 7798 385 , , , 39713 7798 386 103 103 CD 39713 7798 387 central central JJ 39713 7798 388 forces force NNS 39713 7798 389 , , , 39713 7798 390 297 297 CD 39713 7798 391 Chaldeans Chaldeans NNPS 39713 7798 392 , , , 39713 7798 393 290 290 CD 39713 7798 394 chance chance NN 39713 7798 395 , , , 39713 7798 396 395 395 CD 39713 7798 397 , , , 39713 7798 398 408 408 CD 39713 7798 399 change change NN 39713 7798 400 of of IN 39713 7798 401 position position NN 39713 7798 402 , , , 39713 7798 403 70 70 CD 39713 7798 404 state state NN 39713 7798 405 , , , 39713 7798 406 70 70 CD 39713 7798 407 chemistry chemistry NN 39713 7798 408 of of IN 39713 7798 409 the the DT 39713 7798 410 stars star NNS 39713 7798 411 , , , 39713 7798 412 295 295 CD 39713 7798 413 circle circle NN 39713 7798 414 - - HYPH 39713 7798 415 squarers squarer NNS 39713 7798 416 , , , 39713 7798 417 11 11 CD 39713 7798 418 Clairaut Clairaut NNP 39713 7798 419 , , , 39713 7798 420 537 537 CD 39713 7798 421 - - SYM 39713 7798 422 8 8 CD 39713 7798 423 Clausius Clausius NNP 39713 7798 424 , , , 39713 7798 425 119 119 CD 39713 7798 426 , , , 39713 7798 427 123 123 CD 39713 7798 428 , , , 39713 7798 429 143 143 CD 39713 7798 430 color color NN 39713 7798 431 sensation sensation NN 39713 7798 432 , , , 39713 7798 433 252 252 CD 39713 7798 434 Columbus Columbus NNP 39713 7798 435 , , , 39713 7798 436 228 228 CD 39713 7798 437 commutativity commutativity NN 39713 7798 438 , , , 39713 7798 439 35 35 CD 39713 7798 440 - - SYM 39713 7798 441 6 6 CD 39713 7798 442 compensation compensation NN 39713 7798 443 , , , 39713 7798 444 72 72 CD 39713 7798 445 complete complete JJ 39713 7798 446 induction induction NN 39713 7798 447 , , , 39713 7798 448 40 40 CD 39713 7798 449 Comte Comte NNP 39713 7798 450 , , , 39713 7798 451 294 294 CD 39713 7798 452 Condorcet Condorcet NNPS 39713 7798 453 , , , 39713 7798 454 411 411 CD 39713 7798 455 contingence contingence NN 39713 7798 456 , , , 39713 7798 457 340 340 CD 39713 7798 458 continuity continuity NN 39713 7798 459 , , , 39713 7798 460 173 173 CD 39713 7798 461 continuum continuum NN 39713 7798 462 , , , 39713 7798 463 43 43 CD 39713 7798 464 amorphous amorphous JJ 39713 7798 465 , , , 39713 7798 466 238 238 CD 39713 7798 467 mathematical mathematical JJ 39713 7798 468 , , , 39713 7798 469 46 46 CD 39713 7798 470 physical physical JJ 39713 7798 471 , , , 39713 7798 472 46 46 CD 39713 7798 473 , , , 39713 7798 474 240 240 CD 39713 7798 475 tridimensional tridimensional NN 39713 7798 476 , , , 39713 7798 477 240 240 CD 39713 7798 478 convention convention NN 39713 7798 479 , , , 39713 7798 480 50 50 CD 39713 7798 481 , , , 39713 7798 482 93 93 CD 39713 7798 483 , , , 39713 7798 484 106 106 CD 39713 7798 485 , , , 39713 7798 486 125 125 CD 39713 7798 487 , , , 39713 7798 488 173 173 CD 39713 7798 489 , , , 39713 7798 490 208 208 CD 39713 7798 491 , , , 39713 7798 492 317 317 CD 39713 7798 493 , , , 39713 7798 494 440 440 CD 39713 7798 495 , , , 39713 7798 496 451 451 CD 39713 7798 497 convergence convergence NN 39713 7798 498 , , , 39713 7798 499 67 67 CD 39713 7798 500 - - SYM 39713 7798 501 8 8 CD 39713 7798 502 coordinates coordinate NNS 39713 7798 503 , , , 39713 7798 504 244 244 CD 39713 7798 505 Copernicus Copernicus NNP 39713 7798 506 , , , 39713 7798 507 109 109 CD 39713 7798 508 , , , 39713 7798 509 291 291 CD 39713 7798 510 , , , 39713 7798 511 354 354 CD 39713 7798 512 Coulomb Coulomb NNP 39713 7798 513 , , , 39713 7798 514 143 143 CD 39713 7798 515 , , , 39713 7798 516 516 516 CD 39713 7798 517 Couturat Couturat NNP 39713 7798 518 , , , 39713 7798 519 450 450 CD 39713 7798 520 , , , 39713 7798 521 453 453 CD 39713 7798 522 , , , 39713 7798 523 456 456 CD 39713 7798 524 , , , 39713 7798 525 460 460 CD 39713 7798 526 , , , 39713 7798 527 462 462 CD 39713 7798 528 - - SYM 39713 7798 529 3 3 CD 39713 7798 530 , , , 39713 7798 531 467 467 CD 39713 7798 532 , , , 39713 7798 533 472 472 CD 39713 7798 534 - - SYM 39713 7798 535 6 6 CD 39713 7798 536 creation creation NN 39713 7798 537 , , , 39713 7798 538 mathematical mathematical JJ 39713 7798 539 , , , 39713 7798 540 383 383 CD 39713 7798 541 creed creed NN 39713 7798 542 , , , 39713 7798 543 1 1 CD 39713 7798 544 Crémieu Crémieu NNP 39713 7798 545 , , , 39713 7798 546 168 168 CD 39713 7798 547 - - SYM 39713 7798 548 9 9 CD 39713 7798 549 , , , 39713 7798 550 490 490 CD 39713 7798 551 crisis crisis NN 39713 7798 552 , , , 39713 7798 553 303 303 CD 39713 7798 554 Crookes crooke NNS 39713 7798 555 , , , 39713 7798 556 195 195 CD 39713 7798 557 , , , 39713 7798 558 488 488 CD 39713 7798 559 , , , 39713 7798 560 527 527 CD 39713 7798 561 - - SYM 39713 7798 562 8 8 CD 39713 7798 563 crude crude JJ 39713 7798 564 fact fact NN 39713 7798 565 , , , 39713 7798 566 326 326 CD 39713 7798 567 , , , 39713 7798 568 330 330 CD 39713 7798 569 Curie Curie NNP 39713 7798 570 , , , 39713 7798 571 312 312 CD 39713 7798 572 - - SYM 39713 7798 573 3 3 CD 39713 7798 574 , , , 39713 7798 575 318 318 CD 39713 7798 576 current current NN 39713 7798 577 , , , 39713 7798 578 186 186 CD 39713 7798 579 curvature curvature NN 39713 7798 580 , , , 39713 7798 581 58 58 CD 39713 7798 582 - - SYM 39713 7798 583 9 9 CD 39713 7798 584 curve curve NN 39713 7798 585 , , , 39713 7798 586 213 213 CD 39713 7798 587 , , , 39713 7798 588 346 346 CD 39713 7798 589 curves curve NNS 39713 7798 590 without without IN 39713 7798 591 tangents tangent NNS 39713 7798 592 , , , 39713 7798 593 51 51 CD 39713 7798 594 cut cut NN 39713 7798 595 , , , 39713 7798 596 52 52 CD 39713 7798 597 , , , 39713 7798 598 256 256 CD 39713 7798 599 cyclones cyclone NNS 39713 7798 600 , , , 39713 7798 601 353 353 CD 39713 7798 602 d'Alembert d'Alembert NNP 39713 7798 603 , , , 39713 7798 604 538 538 CD 39713 7798 605 Darwin Darwin NNP 39713 7798 606 , , , 39713 7798 607 518 518 CD 39713 7798 608 - - SYM 39713 7798 609 9 9 CD 39713 7798 610 De De NNP 39713 7798 611 Cyon Cyon NNP 39713 7798 612 , , , 39713 7798 613 276 276 CD 39713 7798 614 , , , 39713 7798 615 427 427 CD 39713 7798 616 Dedekind Dedekind NNP 39713 7798 617 , , , 39713 7798 618 44 44 CD 39713 7798 619 - - SYM 39713 7798 620 5 5 CD 39713 7798 621 Defforges Defforges NNPS 39713 7798 622 , , , 39713 7798 623 542 542 CD 39713 7798 624 definitions definition NNS 39713 7798 625 , , , 39713 7798 626 430 430 CD 39713 7798 627 , , , 39713 7798 628 453 453 CD 39713 7798 629 deformation deformation NN 39713 7798 630 , , , 39713 7798 631 73 73 CD 39713 7798 632 , , , 39713 7798 633 415 415 CD 39713 7798 634 Delage Delage NNP 39713 7798 635 , , , 39713 7798 636 277 277 CD 39713 7798 637 Delambre Delambre NNP 39713 7798 638 , , , 39713 7798 639 539 539 CD 39713 7798 640 Delbeuf Delbeuf NNP 39713 7798 641 , , , 39713 7798 642 414 414 CD 39713 7798 643 Descartes Descartes NNPS 39713 7798 644 , , , 39713 7798 645 127 127 CD 39713 7798 646 determinism determinism NN 39713 7798 647 , , , 39713 7798 648 123 123 CD 39713 7798 649 , , , 39713 7798 650 340 340 CD 39713 7798 651 dictionary dictionary JJ 39713 7798 652 , , , 39713 7798 653 59 59 CD 39713 7798 654 didymium didymium NN 39713 7798 655 , , , 39713 7798 656 333 333 CD 39713 7798 657 dilatation dilatation NN 39713 7798 658 , , , 39713 7798 659 76 76 CD 39713 7798 660 dimensions dimension NNS 39713 7798 661 , , , 39713 7798 662 53 53 CD 39713 7798 663 , , , 39713 7798 664 68 68 CD 39713 7798 665 , , , 39713 7798 666 78 78 CD 39713 7798 667 , , , 39713 7798 668 241 241 CD 39713 7798 669 , , , 39713 7798 670 256 256 CD 39713 7798 671 , , , 39713 7798 672 426 426 CD 39713 7798 673 direction direction NN 39713 7798 674 , , , 39713 7798 675 69 69 CD 39713 7798 676 Dirichlet Dirichlet NNP 39713 7798 677 , , , 39713 7798 678 213 213 CD 39713 7798 679 dispersion dispersion NN 39713 7798 680 , , , 39713 7798 681 141 141 CD 39713 7798 682 displacement displacement NN 39713 7798 683 , , , 39713 7798 684 73 73 CD 39713 7798 685 , , , 39713 7798 686 77 77 CD 39713 7798 687 , , , 39713 7798 688 247 247 CD 39713 7798 689 , , , 39713 7798 690 256 256 CD 39713 7798 691 distance distance NN 39713 7798 692 , , , 39713 7798 693 59 59 CD 39713 7798 694 , , , 39713 7798 695 292 292 CD 39713 7798 696 distributivity distributivity NN 39713 7798 697 , , , 39713 7798 698 36 36 CD 39713 7798 699 Du Du NNP 39713 7798 700 Bois Bois NNP 39713 7798 701 - - HYPH 39713 7798 702 Reymond Reymond NNP 39713 7798 703 , , , 39713 7798 704 50 50 CD 39713 7798 705 earth earth NN 39713 7798 706 , , , 39713 7798 707 rotation rotation NN 39713 7798 708 of of IN 39713 7798 709 , , , 39713 7798 710 326 326 CD 39713 7798 711 , , , 39713 7798 712 353 353 CD 39713 7798 713 eclipse eclipse NN 39713 7798 714 , , , 39713 7798 715 326 326 CD 39713 7798 716 electricity electricity NN 39713 7798 717 , , , 39713 7798 718 174 174 CD 39713 7798 719 electrified electrify VBN 39713 7798 720 bodies body NNS 39713 7798 721 , , , 39713 7798 722 117 117 CD 39713 7798 723 electrodynamic electrodynamic JJ 39713 7798 724 attraction attraction NN 39713 7798 725 , , , 39713 7798 726 308 308 CD 39713 7798 727 induction induction NN 39713 7798 728 , , , 39713 7798 729 188 188 CD 39713 7798 730 mass mass NN 39713 7798 731 , , , 39713 7798 732 311 311 CD 39713 7798 733 electrodynamics electrodynamic NNS 39713 7798 734 , , , 39713 7798 735 184 184 CD 39713 7798 736 , , , 39713 7798 737 282 282 CD 39713 7798 738 electromagnetic electromagnetic JJ 39713 7798 739 theory theory NN 39713 7798 740 of of IN 39713 7798 741 light light NN 39713 7798 742 , , , 39713 7798 743 301 301 CD 39713 7798 744 electrons electron NNS 39713 7798 745 , , , 39713 7798 746 316 316 CD 39713 7798 747 , , , 39713 7798 748 492 492 CD 39713 7798 749 - - SYM 39713 7798 750 4 4 CD 39713 7798 751 , , , 39713 7798 752 505 505 CD 39713 7798 753 - - SYM 39713 7798 754 8 8 CD 39713 7798 755 , , , 39713 7798 756 510 510 CD 39713 7798 757 , , , 39713 7798 758 512 512 CD 39713 7798 759 - - SYM 39713 7798 760 4 4 CD 39713 7798 761 elephant elephant NN 39713 7798 762 , , , 39713 7798 763 217 217 CD 39713 7798 764 , , , 39713 7798 765 436 436 CD 39713 7798 766 ellipse ellipse NN 39713 7798 767 , , , 39713 7798 768 215 215 CD 39713 7798 769 Emerson Emerson NNP 39713 7798 770 , , , 39713 7798 771 203 203 CD 39713 7798 772 empiricism empiricism NN 39713 7798 773 , , , 39713 7798 774 86 86 CD 39713 7798 775 , , , 39713 7798 776 271 271 CD 39713 7798 777 Epimenides epimenide NNS 39713 7798 778 , , , 39713 7798 779 478 478 CD 39713 7798 780 - - SYM 39713 7798 781 9 9 CD 39713 7798 782 equation equation NN 39713 7798 783 of of IN 39713 7798 784 Laplace Laplace NNP 39713 7798 785 , , , 39713 7798 786 283 283 CD 39713 7798 787 Erdély Erdély NNP 39713 7798 788 , , , 39713 7798 789 203 203 CD 39713 7798 790 errors error NNS 39713 7798 791 , , , 39713 7798 792 accidental accidental JJ 39713 7798 793 , , , 39713 7798 794 171 171 CD 39713 7798 795 , , , 39713 7798 796 402 402 CD 39713 7798 797 law law NN 39713 7798 798 of of IN 39713 7798 799 , , , 39713 7798 800 119 119 CD 39713 7798 801 systematic systematic JJ 39713 7798 802 , , , 39713 7798 803 171 171 CD 39713 7798 804 , , , 39713 7798 805 402 402 CD 39713 7798 806 theory theory NN 39713 7798 807 of of IN 39713 7798 808 , , , 39713 7798 809 402 402 CD 39713 7798 810 , , , 39713 7798 811 406 406 CD 39713 7798 812 ether ether NN 39713 7798 813 , , , 39713 7798 814 145 145 CD 39713 7798 815 , , , 39713 7798 816 351 351 CD 39713 7798 817 ethics ethic NNS 39713 7798 818 , , , 39713 7798 819 205 205 CD 39713 7798 820 Euclid Euclid NNP 39713 7798 821 , , , 39713 7798 822 62 62 CD 39713 7798 823 , , , 39713 7798 824 86 86 CD 39713 7798 825 , , , 39713 7798 826 202 202 CD 39713 7798 827 - - SYM 39713 7798 828 3 3 CD 39713 7798 829 , , , 39713 7798 830 213 213 CD 39713 7798 831 Euclidean euclidean JJ 39713 7798 832 geometry geometry NN 39713 7798 833 , , , 39713 7798 834 65 65 CD 39713 7798 835 , , , 39713 7798 836 235 235 CD 39713 7798 837 - - SYM 39713 7798 838 6 6 CD 39713 7798 839 , , , 39713 7798 840 337 337 CD 39713 7798 841 Euclid Euclid NNP 39713 7798 842 's 's POS 39713 7798 843 postulate postulate NN 39713 7798 844 , , , 39713 7798 845 83 83 CD 39713 7798 846 , , , 39713 7798 847 91 91 CD 39713 7798 848 , , , 39713 7798 849 124 124 CD 39713 7798 850 , , , 39713 7798 851 353 353 CD 39713 7798 852 , , , 39713 7798 853 443 443 CD 39713 7798 854 , , , 39713 7798 855 453 453 CD 39713 7798 856 , , , 39713 7798 857 468 468 CD 39713 7798 858 , , , 39713 7798 859 470 470 CD 39713 7798 860 - - SYM 39713 7798 861 1 1 CD 39713 7798 862 experience experience NN 39713 7798 863 , , , 39713 7798 864 90 90 CD 39713 7798 865 - - SYM 39713 7798 866 1 1 CD 39713 7798 867 experiment experiment NN 39713 7798 868 , , , 39713 7798 869 127 127 CD 39713 7798 870 , , , 39713 7798 871 317 317 CD 39713 7798 872 , , , 39713 7798 873 336 336 CD 39713 7798 874 , , , 39713 7798 875 446 446 CD 39713 7798 876 fact fact NN 39713 7798 877 , , , 39713 7798 878 crude crude NN 39713 7798 879 , , , 39713 7798 880 326 326 CD 39713 7798 881 , , , 39713 7798 882 330 330 CD 39713 7798 883 in in IN 39713 7798 884 the the DT 39713 7798 885 rough rough JJ 39713 7798 886 , , , 39713 7798 887 327 327 CD 39713 7798 888 scientific scientific JJ 39713 7798 889 , , , 39713 7798 890 326 326 CD 39713 7798 891 facts fact NNS 39713 7798 892 , , , 39713 7798 893 362 362 CD 39713 7798 894 , , , 39713 7798 895 371 371 CD 39713 7798 896 Fahrenheit Fahrenheit NNP 39713 7798 897 , , , 39713 7798 898 238 238 CD 39713 7798 899 Faraday Faraday NNP 39713 7798 900 , , , 39713 7798 901 150 150 CD 39713 7798 902 , , , 39713 7798 903 192 192 CD 39713 7798 904 Faye Faye NNP 39713 7798 905 , , , 39713 7798 906 536 536 CD 39713 7798 907 Fechner Fechner NNP 39713 7798 908 , , , 39713 7798 909 46 46 CD 39713 7798 910 , , , 39713 7798 911 52 52 CD 39713 7798 912 Fehr Fehr NNP 39713 7798 913 , , , 39713 7798 914 383 383 CD 39713 7798 915 finite finite NN 39713 7798 916 , , , 39713 7798 917 57 57 CD 39713 7798 918 Fitzgerald Fitzgerald NNP 39713 7798 919 , , , 39713 7798 920 415 415 CD 39713 7798 921 - - SYM 39713 7798 922 6 6 CD 39713 7798 923 , , , 39713 7798 924 500 500 CD 39713 7798 925 - - SYM 39713 7798 926 1 1 CD 39713 7798 927 , , , 39713 7798 928 505 505 CD 39713 7798 929 Fizeau Fizeau NNP 39713 7798 930 , , , 39713 7798 931 146 146 CD 39713 7798 932 , , , 39713 7798 933 149 149 CD 39713 7798 934 , , , 39713 7798 935 309 309 CD 39713 7798 936 , , , 39713 7798 937 498 498 CD 39713 7798 938 , , , 39713 7798 939 504 504 CD 39713 7798 940 Flammarion Flammarion NNP 39713 7798 941 , , , 39713 7798 942 400 400 CD 39713 7798 943 , , , 39713 7798 944 406 406 CD 39713 7798 945 - - SYM 39713 7798 946 7 7 CD 39713 7798 947 flattening flattening NN 39713 7798 948 of of IN 39713 7798 949 the the DT 39713 7798 950 earth earth NN 39713 7798 951 , , , 39713 7798 952 353 353 CD 39713 7798 953 force force NN 39713 7798 954 , , , 39713 7798 955 72 72 CD 39713 7798 956 , , , 39713 7798 957 98 98 CD 39713 7798 958 , , , 39713 7798 959 444 444 CD 39713 7798 960 direction direction NN 39713 7798 961 of of IN 39713 7798 962 , , , 39713 7798 963 445 445 CD 39713 7798 964 -flow -flow JJ 39713 7798 965 , , , 39713 7798 966 284 284 CD 39713 7798 967 forces force NNS 39713 7798 968 , , , 39713 7798 969 central central JJ 39713 7798 970 , , , 39713 7798 971 297 297 CD 39713 7798 972 equivalence equivalence NN 39713 7798 973 of of IN 39713 7798 974 , , , 39713 7798 975 445 445 CD 39713 7798 976 magnitude magnitude NN 39713 7798 977 of of IN 39713 7798 978 , , , 39713 7798 979 445 445 CD 39713 7798 980 Foucault Foucault NNP 39713 7798 981 's 's POS 39713 7798 982 pendulum pendulum NN 39713 7798 983 , , , 39713 7798 984 85 85 CD 39713 7798 985 , , , 39713 7798 986 109 109 CD 39713 7798 987 , , , 39713 7798 988 353 353 CD 39713 7798 989 four four CD 39713 7798 990 dimensions dimension NNS 39713 7798 991 , , , 39713 7798 992 78 78 CD 39713 7798 993 Fourier Fourier NNP 39713 7798 994 , , , 39713 7798 995 298 298 CD 39713 7798 996 - - SYM 39713 7798 997 9 9 CD 39713 7798 998 Fourier Fourier NNP 39713 7798 999 's 's POS 39713 7798 1000 problem problem NN 39713 7798 1001 , , , 39713 7798 1002 317 317 CD 39713 7798 1003 series series NN 39713 7798 1004 , , , 39713 7798 1005 286 286 CD 39713 7798 1006 Franklin Franklin NNP 39713 7798 1007 , , , 39713 7798 1008 513 513 CD 39713 7798 1009 - - SYM 39713 7798 1010 4 4 CD 39713 7798 1011 Fresnel Fresnel NNP 39713 7798 1012 , , , 39713 7798 1013 132 132 CD 39713 7798 1014 , , , 39713 7798 1015 140 140 CD 39713 7798 1016 , , , 39713 7798 1017 153 153 CD 39713 7798 1018 , , , 39713 7798 1019 174 174 CD 39713 7798 1020 , , , 39713 7798 1021 176 176 CD 39713 7798 1022 , , , 39713 7798 1023 181 181 CD 39713 7798 1024 , , , 39713 7798 1025 351 351 CD 39713 7798 1026 , , , 39713 7798 1027 498 498 CD 39713 7798 1028 Fuchsian Fuchsian NNP 39713 7798 1029 , , , 39713 7798 1030 387 387 CD 39713 7798 1031 - - SYM 39713 7798 1032 8 8 CD 39713 7798 1033 function function NN 39713 7798 1034 , , , 39713 7798 1035 213 213 CD 39713 7798 1036 continuous continuous JJ 39713 7798 1037 , , , 39713 7798 1038 218 218 CD 39713 7798 1039 , , , 39713 7798 1040 288 288 CD 39713 7798 1041 Galileo Galileo NNP 39713 7798 1042 , , , 39713 7798 1043 97 97 CD 39713 7798 1044 , , , 39713 7798 1045 331 331 CD 39713 7798 1046 , , , 39713 7798 1047 353 353 CD 39713 7798 1048 - - SYM 39713 7798 1049 4 4 CD 39713 7798 1050 gaseous gaseous JJ 39713 7798 1051 pressure pressure NN 39713 7798 1052 , , , 39713 7798 1053 141 141 CD 39713 7798 1054 gases gas NNS 39713 7798 1055 , , , 39713 7798 1056 theory theory NN 39713 7798 1057 of of IN 39713 7798 1058 , , , 39713 7798 1059 400 400 CD 39713 7798 1060 , , , 39713 7798 1061 405 405 CD 39713 7798 1062 , , , 39713 7798 1063 523 523 CD 39713 7798 1064 Gauss Gauss NNP 39713 7798 1065 , , , 39713 7798 1066 384 384 CD 39713 7798 1067 - - SYM 39713 7798 1068 5 5 CD 39713 7798 1069 , , , 39713 7798 1070 406 406 CD 39713 7798 1071 Gay Gay NNP 39713 7798 1072 - - HYPH 39713 7798 1073 Lussac Lussac NNP 39713 7798 1074 , , , 39713 7798 1075 157 157 CD 39713 7798 1076 generalize generalize NN 39713 7798 1077 , , , 39713 7798 1078 342 342 CD 39713 7798 1079 geodesy geodesy NN 39713 7798 1080 , , , 39713 7798 1081 535 535 CD 39713 7798 1082 geometer geometer NN 39713 7798 1083 , , , 39713 7798 1084 83 83 CD 39713 7798 1085 , , , 39713 7798 1086 210 210 CD 39713 7798 1087 , , , 39713 7798 1088 438 438 CD 39713 7798 1089 geometric geometric JJ 39713 7798 1090 space space NN 39713 7798 1091 , , , 39713 7798 1092 66 66 CD 39713 7798 1093 geometry geometry NN 39713 7798 1094 , , , 39713 7798 1095 72 72 CD 39713 7798 1096 , , , 39713 7798 1097 81 81 CD 39713 7798 1098 , , , 39713 7798 1099 125 125 CD 39713 7798 1100 , , , 39713 7798 1101 207 207 CD 39713 7798 1102 , , , 39713 7798 1103 380 380 CD 39713 7798 1104 , , , 39713 7798 1105 428 428 CD 39713 7798 1106 , , , 39713 7798 1107 442 442 CD 39713 7798 1108 , , , 39713 7798 1109 467 467 CD 39713 7798 1110 Euclidean Euclidean NNP 39713 7798 1111 , , , 39713 7798 1112 65 65 CD 39713 7798 1113 , , , 39713 7798 1114 93 93 CD 39713 7798 1115 fourth fourth JJ 39713 7798 1116 , , , 39713 7798 1117 62 62 CD 39713 7798 1118 non non JJ 39713 7798 1119 - - JJ 39713 7798 1120 Euclidean euclidean JJ 39713 7798 1121 , , , 39713 7798 1122 55 55 CD 39713 7798 1123 projective projective NN 39713 7798 1124 , , , 39713 7798 1125 201 201 CD 39713 7798 1126 qualitative qualitative JJ 39713 7798 1127 , , , 39713 7798 1128 238 238 CD 39713 7798 1129 rational rational JJ 39713 7798 1130 , , , 39713 7798 1131 5 5 CD 39713 7798 1132 , , , 39713 7798 1133 467 467 CD 39713 7798 1134 Riemann Riemann NNP 39713 7798 1135 's 's POS 39713 7798 1136 , , , 39713 7798 1137 57 57 CD 39713 7798 1138 spheric spheric NN 39713 7798 1139 , , , 39713 7798 1140 59 59 CD 39713 7798 1141 Gibbs gibb NNS 39713 7798 1142 , , , 39713 7798 1143 304 304 CD 39713 7798 1144 Goldstein Goldstein NNP 39713 7798 1145 , , , 39713 7798 1146 492 492 CD 39713 7798 1147 Gouy Gouy NNS 39713 7798 1148 , , , 39713 7798 1149 152 152 CD 39713 7798 1150 , , , 39713 7798 1151 305 305 CD 39713 7798 1152 , , , 39713 7798 1153 410 410 CD 39713 7798 1154 gravitation gravitation NN 39713 7798 1155 , , , 39713 7798 1156 512 512 CD 39713 7798 1157 Greeks Greeks NNPS 39713 7798 1158 , , , 39713 7798 1159 93 93 CD 39713 7798 1160 , , , 39713 7798 1161 368 368 CD 39713 7798 1162 Hadamard Hadamard NNP 39713 7798 1163 , , , 39713 7798 1164 459 459 CD 39713 7798 1165 Halsted Halsted NNP 39713 7798 1166 , , , 39713 7798 1167 3 3 CD 39713 7798 1168 , , , 39713 7798 1169 203 203 CD 39713 7798 1170 , , , 39713 7798 1171 464 464 CD 39713 7798 1172 , , , 39713 7798 1173 467 467 CD 39713 7798 1174 Hamilton Hamilton NNP 39713 7798 1175 , , , 39713 7798 1176 115 115 CD 39713 7798 1177 helium helium NN 39713 7798 1178 , , , 39713 7798 1179 294 294 CD 39713 7798 1180 Helmholtz Helmholtz NNP 39713 7798 1181 , , , 39713 7798 1182 56 56 CD 39713 7798 1183 , , , 39713 7798 1184 115 115 CD 39713 7798 1185 , , , 39713 7798 1186 118 118 CD 39713 7798 1187 , , , 39713 7798 1188 141 141 CD 39713 7798 1189 , , , 39713 7798 1190 190 190 CD 39713 7798 1191 , , , 39713 7798 1192 196 196 CD 39713 7798 1193 Hercules Hercules NNPS 39713 7798 1194 , , , 39713 7798 1195 449 449 CD 39713 7798 1196 Hermite Hermite NNP 39713 7798 1197 , , , 39713 7798 1198 211 211 CD 39713 7798 1199 , , , 39713 7798 1200 220 220 CD 39713 7798 1201 , , , 39713 7798 1202 222 222 CD 39713 7798 1203 , , , 39713 7798 1204 285 285 CD 39713 7798 1205 Herschel Herschel NNP 39713 7798 1206 , , , 39713 7798 1207 528 528 CD 39713 7798 1208 Hertz Hertz NNP 39713 7798 1209 , , , 39713 7798 1210 102 102 CD 39713 7798 1211 , , , 39713 7798 1212 145 145 CD 39713 7798 1213 , , , 39713 7798 1214 194 194 CD 39713 7798 1215 - - SYM 39713 7798 1216 5 5 CD 39713 7798 1217 , , , 39713 7798 1218 427 427 CD 39713 7798 1219 , , , 39713 7798 1220 488 488 CD 39713 7798 1221 , , , 39713 7798 1222 498 498 CD 39713 7798 1223 , , , 39713 7798 1224 502 502 CD 39713 7798 1225 , , , 39713 7798 1226 504 504 CD 39713 7798 1227 , , , 39713 7798 1228 510 510 CD 39713 7798 1229 Hertzian hertzian JJ 39713 7798 1230 oscillator oscillator NN 39713 7798 1231 , , , 39713 7798 1232 309 309 CD 39713 7798 1233 , , , 39713 7798 1234 317 317 CD 39713 7798 1235 Hilbert Hilbert NNP 39713 7798 1236 , , , 39713 7798 1237 5 5 CD 39713 7798 1238 , , , 39713 7798 1239 11 11 CD 39713 7798 1240 , , , 39713 7798 1241 203 203 CD 39713 7798 1242 , , , 39713 7798 1243 433 433 CD 39713 7798 1244 , , , 39713 7798 1245 450 450 CD 39713 7798 1246 - - SYM 39713 7798 1247 1 1 CD 39713 7798 1248 , , , 39713 7798 1249 464 464 CD 39713 7798 1250 - - SYM 39713 7798 1251 8 8 CD 39713 7798 1252 , , , 39713 7798 1253 471 471 CD 39713 7798 1254 , , , 39713 7798 1255 475 475 CD 39713 7798 1256 - - SYM 39713 7798 1257 7 7 CD 39713 7798 1258 , , , 39713 7798 1259 484 484 CD 39713 7798 1260 Himstedt Himstedt NNP 39713 7798 1261 , , , 39713 7798 1262 195 195 CD 39713 7798 1263 Hipparchus Hipparchus NNP 39713 7798 1264 , , , 39713 7798 1265 291 291 CD 39713 7798 1266 homogeneity homogeneity NN 39713 7798 1267 , , , 39713 7798 1268 74 74 CD 39713 7798 1269 , , , 39713 7798 1270 423 423 CD 39713 7798 1271 homogeneous homogeneous JJ 39713 7798 1272 , , , 39713 7798 1273 67 67 CD 39713 7798 1274 hydrodynamics hydrodynamic NNS 39713 7798 1275 , , , 39713 7798 1276 284 284 CD 39713 7798 1277 hyperbola hyperbola NN 39713 7798 1278 , , , 39713 7798 1279 215 215 CD 39713 7798 1280 hypotheses hypothesis NNS 39713 7798 1281 , , , 39713 7798 1282 6 6 CD 39713 7798 1283 , , , 39713 7798 1284 15 15 CD 39713 7798 1285 , , , 39713 7798 1286 127 127 CD 39713 7798 1287 , , , 39713 7798 1288 133 133 CD 39713 7798 1289 hysteresis hysteresis NN 39713 7798 1290 , , , 39713 7798 1291 151 151 CD 39713 7798 1292 identity identity NN 39713 7798 1293 of of IN 39713 7798 1294 spaces space NNS 39713 7798 1295 , , , 39713 7798 1296 268 268 CD 39713 7798 1297 of of IN 39713 7798 1298 two two CD 39713 7798 1299 points point NNS 39713 7798 1300 , , , 39713 7798 1301 259 259 CD 39713 7798 1302 illusions illusion NNS 39713 7798 1303 , , , 39713 7798 1304 optical optical JJ 39713 7798 1305 , , , 39713 7798 1306 202 202 CD 39713 7798 1307 incommensurable incommensurable JJ 39713 7798 1308 numbers number NNS 39713 7798 1309 , , , 39713 7798 1310 44 44 CD 39713 7798 1311 induction induction NN 39713 7798 1312 , , , 39713 7798 1313 complete complete JJ 39713 7798 1314 , , , 39713 7798 1315 40 40 CD 39713 7798 1316 , , , 39713 7798 1317 452 452 CD 39713 7798 1318 - - SYM 39713 7798 1319 3 3 CD 39713 7798 1320 , , , 39713 7798 1321 467 467 CD 39713 7798 1322 - - SYM 39713 7798 1323 8 8 CD 39713 7798 1324 electromagnetic electromagnetic NN 39713 7798 1325 , , , 39713 7798 1326 188 188 CD 39713 7798 1327 mathematical mathematical JJ 39713 7798 1328 , , , 39713 7798 1329 40 40 CD 39713 7798 1330 , , , 39713 7798 1331 220 220 CD 39713 7798 1332 principle principle NN 39713 7798 1333 of of IN 39713 7798 1334 , , , 39713 7798 1335 481 481 CD 39713 7798 1336 inertia inertia NN 39713 7798 1337 , , , 39713 7798 1338 93 93 CD 39713 7798 1339 , , , 39713 7798 1340 486 486 CD 39713 7798 1341 , , , 39713 7798 1342 489 489 CD 39713 7798 1343 , , , 39713 7798 1344 507 507 CD 39713 7798 1345 infinite infinite NN 39713 7798 1346 , , , 39713 7798 1347 448 448 CD 39713 7798 1348 infinitesimals infinitesimal NNS 39713 7798 1349 , , , 39713 7798 1350 50 50 CD 39713 7798 1351 inquisitor inquisitor NN 39713 7798 1352 , , , 39713 7798 1353 331 331 CD 39713 7798 1354 integration integration NN 39713 7798 1355 , , , 39713 7798 1356 139 139 CD 39713 7798 1357 interpolation interpolation NN 39713 7798 1358 , , , 39713 7798 1359 131 131 CD 39713 7798 1360 intuition intuition NN 39713 7798 1361 , , , 39713 7798 1362 210 210 CD 39713 7798 1363 , , , 39713 7798 1364 213 213 CD 39713 7798 1365 , , , 39713 7798 1366 215 215 CD 39713 7798 1367 invariant invariant NN 39713 7798 1368 , , , 39713 7798 1369 333 333 CD 39713 7798 1370 Ionians Ionians NNPS 39713 7798 1371 , , , 39713 7798 1372 127 127 CD 39713 7798 1373 ions ion NNS 39713 7798 1374 , , , 39713 7798 1375 152 152 CD 39713 7798 1376 irrational irrational JJ 39713 7798 1377 number number NN 39713 7798 1378 , , , 39713 7798 1379 44 44 CD 39713 7798 1380 irreversible irreversible JJ 39713 7798 1381 phenomena phenomenon NNS 39713 7798 1382 , , , 39713 7798 1383 151 151 CD 39713 7798 1384 isotropic isotropic NN 39713 7798 1385 , , , 39713 7798 1386 67 67 CD 39713 7798 1387 Japanese japanese JJ 39713 7798 1388 mice mouse NNS 39713 7798 1389 , , , 39713 7798 1390 277 277 CD 39713 7798 1391 , , , 39713 7798 1392 427 427 CD 39713 7798 1393 Jevons Jevons NNPS 39713 7798 1394 , , , 39713 7798 1395 451 451 CD 39713 7798 1396 John John NNP 39713 7798 1397 Lackland Lackland NNP 39713 7798 1398 , , , 39713 7798 1399 128 128 CD 39713 7798 1400 Jules Jules NNP 39713 7798 1401 Verne Verne NNP 39713 7798 1402 , , , 39713 7798 1403 111 111 CD 39713 7798 1404 , , , 39713 7798 1405 536 536 CD 39713 7798 1406 Jupiter Jupiter NNP 39713 7798 1407 , , , 39713 7798 1408 131 131 CD 39713 7798 1409 , , , 39713 7798 1410 157 157 CD 39713 7798 1411 , , , 39713 7798 1412 231 231 CD 39713 7798 1413 , , , 39713 7798 1414 289 289 CD 39713 7798 1415 Kant Kant NNP 39713 7798 1416 , , , 39713 7798 1417 16 16 CD 39713 7798 1418 , , , 39713 7798 1419 64 64 CD 39713 7798 1420 , , , 39713 7798 1421 202 202 CD 39713 7798 1422 - - SYM 39713 7798 1423 3 3 CD 39713 7798 1424 , , , 39713 7798 1425 450 450 CD 39713 7798 1426 - - SYM 39713 7798 1427 1 1 CD 39713 7798 1428 , , , 39713 7798 1429 471 471 CD 39713 7798 1430 Kauffman Kauffman NNP 39713 7798 1431 , , , 39713 7798 1432 311 311 CD 39713 7798 1433 , , , 39713 7798 1434 490 490 CD 39713 7798 1435 - - SYM 39713 7798 1436 1 1 CD 39713 7798 1437 , , , 39713 7798 1438 495 495 CD 39713 7798 1439 , , , 39713 7798 1440 506 506 CD 39713 7798 1441 - - SYM 39713 7798 1442 7 7 CD 39713 7798 1443 , , , 39713 7798 1444 522 522 CD 39713 7798 1445 , , , 39713 7798 1446 545 545 CD 39713 7798 1447 Kazan Kazan NNP 39713 7798 1448 , , , 39713 7798 1449 203 203 CD 39713 7798 1450 Kelvin Kelvin NNPS 39713 7798 1451 , , , 39713 7798 1452 145 145 CD 39713 7798 1453 , , , 39713 7798 1454 523 523 CD 39713 7798 1455 - - SYM 39713 7798 1456 4 4 CD 39713 7798 1457 , , , 39713 7798 1458 526 526 CD 39713 7798 1459 - - SYM 39713 7798 1460 7 7 CD 39713 7798 1461 Kepler Kepler NNP 39713 7798 1462 , , , 39713 7798 1463 120 120 CD 39713 7798 1464 , , , 39713 7798 1465 133 133 CD 39713 7798 1466 , , , 39713 7798 1467 153 153 CD 39713 7798 1468 , , , 39713 7798 1469 282 282 CD 39713 7798 1470 , , , 39713 7798 1471 291 291 CD 39713 7798 1472 - - SYM 39713 7798 1473 2 2 CD 39713 7798 1474 Kepler Kepler NNP 39713 7798 1475 's 's POS 39713 7798 1476 laws law NNS 39713 7798 1477 , , , 39713 7798 1478 136 136 CD 39713 7798 1479 , , , 39713 7798 1480 516 516 CD 39713 7798 1481 kinematics kinematic NNS 39713 7798 1482 , , , 39713 7798 1483 337 337 CD 39713 7798 1484 kinetic kinetic JJ 39713 7798 1485 energy energy NN 39713 7798 1486 , , , 39713 7798 1487 116 116 CD 39713 7798 1488 theory theory NN 39713 7798 1489 of of IN 39713 7798 1490 gases gas NNS 39713 7798 1491 , , , 39713 7798 1492 141 141 CD 39713 7798 1493 Kirchhoff Kirchhoff NNP 39713 7798 1494 , , , 39713 7798 1495 98 98 CD 39713 7798 1496 - - SYM 39713 7798 1497 9 9 CD 39713 7798 1498 , , , 39713 7798 1499 103 103 CD 39713 7798 1500 - - SYM 39713 7798 1501 5 5 CD 39713 7798 1502 Klein Klein NNP 39713 7798 1503 , , , 39713 7798 1504 60 60 CD 39713 7798 1505 , , , 39713 7798 1506 211 211 CD 39713 7798 1507 , , , 39713 7798 1508 287 287 CD 39713 7798 1509 knowledge knowledge NN 39713 7798 1510 , , , 39713 7798 1511 201 201 CD 39713 7798 1512 König König NNP 39713 7798 1513 , , , 39713 7798 1514 144 144 CD 39713 7798 1515 , , , 39713 7798 1516 477 477 CD 39713 7798 1517 Kovalevski Kovalevski NNP 39713 7798 1518 , , , 39713 7798 1519 212 212 CD 39713 7798 1520 , , , 39713 7798 1521 286 286 CD 39713 7798 1522 Kronecker Kronecker NNP 39713 7798 1523 , , , 39713 7798 1524 44 44 CD 39713 7798 1525 Lacombe Lacombe NNP 39713 7798 1526 , , , 39713 7798 1527 543 543 CD 39713 7798 1528 La La NNP 39713 7798 1529 Condamine Condamine NNP 39713 7798 1530 , , , 39713 7798 1531 535 535 CD 39713 7798 1532 , , , 39713 7798 1533 537 537 CD 39713 7798 1534 - - SYM 39713 7798 1535 8 8 CD 39713 7798 1536 , , , 39713 7798 1537 542 542 CD 39713 7798 1538 - - SYM 39713 7798 1539 3 3 CD 39713 7798 1540 Lagrange Lagrange NNP 39713 7798 1541 , , , 39713 7798 1542 98 98 CD 39713 7798 1543 , , , 39713 7798 1544 151 151 CD 39713 7798 1545 , , , 39713 7798 1546 179 179 CD 39713 7798 1547 Laisant Laisant NNP 39713 7798 1548 , , , 39713 7798 1549 383 383 CD 39713 7798 1550 Lallamand lallamand NN 39713 7798 1551 , , , 39713 7798 1552 543 543 CD 39713 7798 1553 Langevin Langevin NNP 39713 7798 1554 , , , 39713 7798 1555 509 509 CD 39713 7798 1556 Laplace Laplace NNP 39713 7798 1557 , , , 39713 7798 1558 298 298 CD 39713 7798 1559 , , , 39713 7798 1560 398 398 CD 39713 7798 1561 , , , 39713 7798 1562 514 514 CD 39713 7798 1563 - - SYM 39713 7798 1564 5 5 CD 39713 7798 1565 , , , 39713 7798 1566 518 518 CD 39713 7798 1567 , , , 39713 7798 1568 522 522 CD 39713 7798 1569 , , , 39713 7798 1570 538 538 CD 39713 7798 1571 Laplace Laplace NNP 39713 7798 1572 's 's POS 39713 7798 1573 equation equation NN 39713 7798 1574 , , , 39713 7798 1575 283 283 CD 39713 7798 1576 , , , 39713 7798 1577 287 287 CD 39713 7798 1578 Larmor Larmor NNS 39713 7798 1579 , , , 39713 7798 1580 145 145 CD 39713 7798 1581 , , , 39713 7798 1582 150 150 CD 39713 7798 1583 Lavoisier Lavoisier NNP 39713 7798 1584 's 's POS 39713 7798 1585 principle principle NN 39713 7798 1586 , , , 39713 7798 1587 301 301 CD 39713 7798 1588 , , , 39713 7798 1589 310 310 CD 39713 7798 1590 , , , 39713 7798 1591 312 312 CD 39713 7798 1592 law law NN 39713 7798 1593 , , , 39713 7798 1594 207 207 CD 39713 7798 1595 , , , 39713 7798 1596 291 291 CD 39713 7798 1597 , , , 39713 7798 1598 395 395 CD 39713 7798 1599 Leibnitz Leibnitz NNP 39713 7798 1600 , , , 39713 7798 1601 32 32 CD 39713 7798 1602 , , , 39713 7798 1603 450 450 CD 39713 7798 1604 , , , 39713 7798 1605 471 471 CD 39713 7798 1606 Le Le NNP 39713 7798 1607 Roy Roy NNP 39713 7798 1608 , , , 39713 7798 1609 28 28 CD 39713 7798 1610 , , , 39713 7798 1611 321 321 CD 39713 7798 1612 - - SYM 39713 7798 1613 6 6 CD 39713 7798 1614 , , , 39713 7798 1615 332 332 CD 39713 7798 1616 , , , 39713 7798 1617 335 335 CD 39713 7798 1618 , , , 39713 7798 1619 337 337 CD 39713 7798 1620 , , , 39713 7798 1621 347 347 CD 39713 7798 1622 - - SYM 39713 7798 1623 8 8 CD 39713 7798 1624 , , , 39713 7798 1625 354 354 CD 39713 7798 1626 , , , 39713 7798 1627 468 468 CD 39713 7798 1628 Lesage lesage NN 39713 7798 1629 , , , 39713 7798 1630 517 517 CD 39713 7798 1631 - - SYM 39713 7798 1632 21 21 CD 39713 7798 1633 Liard Liard NNP 39713 7798 1634 , , , 39713 7798 1635 440 440 CD 39713 7798 1636 Lie Lie NNP 39713 7798 1637 , , , 39713 7798 1638 62 62 CD 39713 7798 1639 - - SYM 39713 7798 1640 3 3 CD 39713 7798 1641 , , , 39713 7798 1642 212 212 CD 39713 7798 1643 light light JJ 39713 7798 1644 sensations sensation NNS 39713 7798 1645 , , , 39713 7798 1646 252 252 CD 39713 7798 1647 theory theory NN 39713 7798 1648 of of IN 39713 7798 1649 , , , 39713 7798 1650 351 351 CD 39713 7798 1651 velocity velocity NN 39713 7798 1652 of of IN 39713 7798 1653 , , , 39713 7798 1654 232 232 CD 39713 7798 1655 , , , 39713 7798 1656 312 312 CD 39713 7798 1657 Lindemann Lindemann NNP 39713 7798 1658 , , , 39713 7798 1659 508 508 CD 39713 7798 1660 line line NN 39713 7798 1661 , , , 39713 7798 1662 203 203 CD 39713 7798 1663 , , , 39713 7798 1664 243 243 CD 39713 7798 1665 linkages linkage NNS 39713 7798 1666 , , , 39713 7798 1667 144 144 CD 39713 7798 1668 Lippmann Lippmann NNP 39713 7798 1669 , , , 39713 7798 1670 196 196 CD 39713 7798 1671 Lobachevski Lobachevski NNP 39713 7798 1672 , , , 39713 7798 1673 29 29 CD 39713 7798 1674 , , , 39713 7798 1675 56 56 CD 39713 7798 1676 , , , 39713 7798 1677 60 60 CD 39713 7798 1678 , , , 39713 7798 1679 62 62 CD 39713 7798 1680 , , , 39713 7798 1681 83 83 CD 39713 7798 1682 , , , 39713 7798 1683 86 86 CD 39713 7798 1684 , , , 39713 7798 1685 203 203 CD 39713 7798 1686 Lobachevski Lobachevski NNP 39713 7798 1687 's 's POS 39713 7798 1688 space space NN 39713 7798 1689 , , , 39713 7798 1690 239 239 CD 39713 7798 1691 local local JJ 39713 7798 1692 time time NN 39713 7798 1693 , , , 39713 7798 1694 306 306 CD 39713 7798 1695 - - SYM 39713 7798 1696 7 7 CD 39713 7798 1697 , , , 39713 7798 1698 499 499 CD 39713 7798 1699 logic logic NN 39713 7798 1700 , , , 39713 7798 1701 214 214 CD 39713 7798 1702 , , , 39713 7798 1703 435 435 CD 39713 7798 1704 , , , 39713 7798 1705 448 448 CD 39713 7798 1706 , , , 39713 7798 1707 460 460 CD 39713 7798 1708 - - SYM 39713 7798 1709 2 2 CD 39713 7798 1710 , , , 39713 7798 1711 464 464 CD 39713 7798 1712 logistic logistic JJ 39713 7798 1713 , , , 39713 7798 1714 457 457 CD 39713 7798 1715 , , , 39713 7798 1716 472 472 CD 39713 7798 1717 - - SYM 39713 7798 1718 4 4 CD 39713 7798 1719 logisticians logistician NNS 39713 7798 1720 , , , 39713 7798 1721 472 472 CD 39713 7798 1722 Lorentz Lorentz NNP 39713 7798 1723 , , , 39713 7798 1724 147 147 CD 39713 7798 1725 , , , 39713 7798 1726 149 149 CD 39713 7798 1727 , , , 39713 7798 1728 196 196 CD 39713 7798 1729 - - SYM 39713 7798 1730 7 7 CD 39713 7798 1731 , , , 39713 7798 1732 306 306 CD 39713 7798 1733 , , , 39713 7798 1734 308 308 CD 39713 7798 1735 , , , 39713 7798 1736 311 311 CD 39713 7798 1737 , , , 39713 7798 1738 315 315 CD 39713 7798 1739 , , , 39713 7798 1740 415 415 CD 39713 7798 1741 - - SYM 39713 7798 1742 6 6 CD 39713 7798 1743 , , , 39713 7798 1744 492 492 CD 39713 7798 1745 , , , 39713 7798 1746 498 498 CD 39713 7798 1747 - - SYM 39713 7798 1748 502 502 CD 39713 7798 1749 , , , 39713 7798 1750 504 504 CD 39713 7798 1751 - - SYM 39713 7798 1752 9 9 CD 39713 7798 1753 , , , 39713 7798 1754 512 512 CD 39713 7798 1755 , , , 39713 7798 1756 514 514 CD 39713 7798 1757 - - SYM 39713 7798 1758 6 6 CD 39713 7798 1759 , , , 39713 7798 1760 521 521 CD 39713 7798 1761 Lotze Lotze NNS 39713 7798 1762 , , , 39713 7798 1763 264 264 CD 39713 7798 1764 luck luck NN 39713 7798 1765 , , , 39713 7798 1766 399 399 CD 39713 7798 1767 Lumen Lumen NNP 39713 7798 1768 , , , 39713 7798 1769 407 407 CD 39713 7798 1770 - - SYM 39713 7798 1771 8 8 CD 39713 7798 1772 MacCullagh MacCullagh NNP 39713 7798 1773 , , , 39713 7798 1774 150 150 CD 39713 7798 1775 Mach Mach NNP 39713 7798 1776 , , , 39713 7798 1777 375 375 CD 39713 7798 1778 Mach Mach NNP 39713 7798 1779 - - HYPH 39713 7798 1780 Delage Delage NNP 39713 7798 1781 , , , 39713 7798 1782 276 276 CD 39713 7798 1783 magnetism magnetism NN 39713 7798 1784 , , , 39713 7798 1785 149 149 CD 39713 7798 1786 magnitude magnitude NN 39713 7798 1787 , , , 39713 7798 1788 49 49 CD 39713 7798 1789 Mariotte Mariotte NNP 39713 7798 1790 's 's POS 39713 7798 1791 law law NN 39713 7798 1792 , , , 39713 7798 1793 120 120 CD 39713 7798 1794 , , , 39713 7798 1795 132 132 CD 39713 7798 1796 , , , 39713 7798 1797 157 157 CD 39713 7798 1798 , , , 39713 7798 1799 342 342 CD 39713 7798 1800 , , , 39713 7798 1801 524 524 CD 39713 7798 1802 Maros Maros NNP 39713 7798 1803 , , , 39713 7798 1804 203 203 CD 39713 7798 1805 mass mass NN 39713 7798 1806 , , , 39713 7798 1807 98 98 CD 39713 7798 1808 , , , 39713 7798 1809 312 312 CD 39713 7798 1810 , , , 39713 7798 1811 446 446 CD 39713 7798 1812 , , , 39713 7798 1813 486 486 CD 39713 7798 1814 , , , 39713 7798 1815 489 489 CD 39713 7798 1816 , , , 39713 7798 1817 494 494 CD 39713 7798 1818 , , , 39713 7798 1819 515 515 CD 39713 7798 1820 mathematical mathematical JJ 39713 7798 1821 analysis analysis NN 39713 7798 1822 , , , 39713 7798 1823 218 218 CD 39713 7798 1824 continuum continuum NN 39713 7798 1825 , , , 39713 7798 1826 46 46 CD 39713 7798 1827 creation creation NN 39713 7798 1828 , , , 39713 7798 1829 383 383 CD 39713 7798 1830 induction induction NN 39713 7798 1831 , , , 39713 7798 1832 40 40 CD 39713 7798 1833 , , , 39713 7798 1834 220 220 CD 39713 7798 1835 physics physics NN 39713 7798 1836 , , , 39713 7798 1837 136 136 CD 39713 7798 1838 , , , 39713 7798 1839 297 297 CD 39713 7798 1840 , , , 39713 7798 1841 319 319 CD 39713 7798 1842 mathematics mathematic NNS 39713 7798 1843 , , , 39713 7798 1844 369 369 CD 39713 7798 1845 , , , 39713 7798 1846 448 448 CD 39713 7798 1847 matter matter NN 39713 7798 1848 , , , 39713 7798 1849 492 492 CD 39713 7798 1850 Maupertuis Maupertuis NNP 39713 7798 1851 , , , 39713 7798 1852 535 535 CD 39713 7798 1853 , , , 39713 7798 1854 537 537 CD 39713 7798 1855 - - SYM 39713 7798 1856 8 8 CD 39713 7798 1857 Maurain Maurain NNP 39713 7798 1858 , , , 39713 7798 1859 543 543 CD 39713 7798 1860 Maxwell Maxwell NNP 39713 7798 1861 , , , 39713 7798 1862 140 140 CD 39713 7798 1863 , , , 39713 7798 1864 152 152 CD 39713 7798 1865 , , , 39713 7798 1866 175 175 CD 39713 7798 1867 , , , 39713 7798 1868 177 177 CD 39713 7798 1869 , , , 39713 7798 1870 181 181 CD 39713 7798 1871 , , , 39713 7798 1872 193 193 CD 39713 7798 1873 , , , 39713 7798 1874 282 282 CD 39713 7798 1875 - - SYM 39713 7798 1876 3 3 CD 39713 7798 1877 , , , 39713 7798 1878 298 298 CD 39713 7798 1879 , , , 39713 7798 1880 301 301 CD 39713 7798 1881 , , , 39713 7798 1882 304 304 CD 39713 7798 1883 - - SYM 39713 7798 1884 5 5 CD 39713 7798 1885 , , , 39713 7798 1886 351 351 CD 39713 7798 1887 , , , 39713 7798 1888 503 503 CD 39713 7798 1889 , , , 39713 7798 1890 524 524 CD 39713 7798 1891 - - SYM 39713 7798 1892 5 5 CD 39713 7798 1893 Maxwell Maxwell NNP 39713 7798 1894 - - HYPH 39713 7798 1895 Bartholi Bartholi NNP 39713 7798 1896 , , , 39713 7798 1897 309 309 CD 39713 7798 1898 , , , 39713 7798 1899 503 503 CD 39713 7798 1900 - - SYM 39713 7798 1901 4 4 CD 39713 7798 1902 , , , 39713 7798 1903 519 519 CD 39713 7798 1904 , , , 39713 7798 1905 521 521 CD 39713 7798 1906 Mayer Mayer NNP 39713 7798 1907 , , , 39713 7798 1908 119 119 CD 39713 7798 1909 , , , 39713 7798 1910 123 123 CD 39713 7798 1911 , , , 39713 7798 1912 300 300 CD 39713 7798 1913 , , , 39713 7798 1914 312 312 CD 39713 7798 1915 , , , 39713 7798 1916 318 318 CD 39713 7798 1917 measurement measurement NN 39713 7798 1918 , , , 39713 7798 1919 49 49 CD 39713 7798 1920 Méchain Méchain NNP 39713 7798 1921 , , , 39713 7798 1922 539 539 CD 39713 7798 1923 - - SYM 39713 7798 1924 40 40 CD 39713 7798 1925 mechanical mechanical JJ 39713 7798 1926 explanation explanation NN 39713 7798 1927 , , , 39713 7798 1928 177 177 CD 39713 7798 1929 mass mass NN 39713 7798 1930 , , , 39713 7798 1931 312 312 CD 39713 7798 1932 mechanics mechanic NNS 39713 7798 1933 , , , 39713 7798 1934 92 92 CD 39713 7798 1935 , , , 39713 7798 1936 444 444 CD 39713 7798 1937 , , , 39713 7798 1938 486 486 CD 39713 7798 1939 , , , 39713 7798 1940 496 496 CD 39713 7798 1941 , , , 39713 7798 1942 512 512 CD 39713 7798 1943 anthropomorphic anthropomorphic JJ 39713 7798 1944 , , , 39713 7798 1945 103 103 CD 39713 7798 1946 celestial celestial JJ 39713 7798 1947 , , , 39713 7798 1948 279 279 CD 39713 7798 1949 statistical statistical JJ 39713 7798 1950 , , , 39713 7798 1951 304 304 CD 39713 7798 1952 Méray Méray NNP 39713 7798 1953 , , , 39713 7798 1954 211 211 CD 39713 7798 1955 metaphysician metaphysician NN 39713 7798 1956 , , , 39713 7798 1957 221 221 CD 39713 7798 1958 meteorology meteorology NN 39713 7798 1959 , , , 39713 7798 1960 398 398 CD 39713 7798 1961 mice mouse NNS 39713 7798 1962 , , , 39713 7798 1963 277 277 CD 39713 7798 1964 Michelson Michelson NNP 39713 7798 1965 , , , 39713 7798 1966 306 306 CD 39713 7798 1967 , , , 39713 7798 1968 309 309 CD 39713 7798 1969 , , , 39713 7798 1970 311 311 CD 39713 7798 1971 , , , 39713 7798 1972 316 316 CD 39713 7798 1973 , , , 39713 7798 1974 498 498 CD 39713 7798 1975 , , , 39713 7798 1976 500 500 CD 39713 7798 1977 - - SYM 39713 7798 1978 1 1 CD 39713 7798 1979 milky milky JJ 39713 7798 1980 way way NN 39713 7798 1981 , , , 39713 7798 1982 523 523 CD 39713 7798 1983 - - SYM 39713 7798 1984 30 30 CD 39713 7798 1985 Mill Mill NNP 39713 7798 1986 , , , 39713 7798 1987 Stuart Stuart NNP 39713 7798 1988 , , , 39713 7798 1989 60 60 CD 39713 7798 1990 - - SYM 39713 7798 1991 1 1 CD 39713 7798 1992 , , , 39713 7798 1993 453 453 CD 39713 7798 1994 - - SYM 39713 7798 1995 4 4 CD 39713 7798 1996 Monist Monist NNP 39713 7798 1997 , , , 39713 7798 1998 4 4 CD 39713 7798 1999 , , , 39713 7798 2000 89 89 CD 39713 7798 2001 , , , 39713 7798 2002 464 464 CD 39713 7798 2003 moons moon NNS 39713 7798 2004 of of IN 39713 7798 2005 Jupiter Jupiter NNP 39713 7798 2006 , , , 39713 7798 2007 233 233 CD 39713 7798 2008 Morley Morley NNP 39713 7798 2009 , , , 39713 7798 2010 309 309 CD 39713 7798 2011 motion motion NN 39713 7798 2012 of of IN 39713 7798 2013 liquids liquid NNS 39713 7798 2014 , , , 39713 7798 2015 283 283 CD 39713 7798 2016 of of IN 39713 7798 2017 moon moon NN 39713 7798 2018 , , , 39713 7798 2019 28 28 CD 39713 7798 2020 of of IN 39713 7798 2021 planets planet NNS 39713 7798 2022 , , , 39713 7798 2023 341 341 CD 39713 7798 2024 relative relative JJ 39713 7798 2025 , , , 39713 7798 2026 107 107 CD 39713 7798 2027 , , , 39713 7798 2028 487 487 CD 39713 7798 2029 without without IN 39713 7798 2030 deformation deformation NN 39713 7798 2031 , , , 39713 7798 2032 236 236 CD 39713 7798 2033 multiplication multiplication NN 39713 7798 2034 , , , 39713 7798 2035 36 36 CD 39713 7798 2036 muscular muscular JJ 39713 7798 2037 sensations sensation NNS 39713 7798 2038 , , , 39713 7798 2039 69 69 CD 39713 7798 2040 Nagaoka Nagaoka NNP 39713 7798 2041 , , , 39713 7798 2042 317 317 CD 39713 7798 2043 nature nature NN 39713 7798 2044 , , , 39713 7798 2045 127 127 CD 39713 7798 2046 navigation navigation NN 39713 7798 2047 , , , 39713 7798 2048 289 289 CD 39713 7798 2049 neodymium neodymium NN 39713 7798 2050 , , , 39713 7798 2051 333 333 CD 39713 7798 2052 neomonics neomonic NNS 39713 7798 2053 , , , 39713 7798 2054 283 283 CD 39713 7798 2055 Neumann Neumann NNP 39713 7798 2056 , , , 39713 7798 2057 181 181 CD 39713 7798 2058 Newton Newton NNP 39713 7798 2059 , , , 39713 7798 2060 85 85 CD 39713 7798 2061 , , , 39713 7798 2062 96 96 CD 39713 7798 2063 , , , 39713 7798 2064 98 98 CD 39713 7798 2065 , , , 39713 7798 2066 109 109 CD 39713 7798 2067 , , , 39713 7798 2068 153 153 CD 39713 7798 2069 , , , 39713 7798 2070 291 291 CD 39713 7798 2071 , , , 39713 7798 2072 370 370 CD 39713 7798 2073 , , , 39713 7798 2074 486 486 CD 39713 7798 2075 , , , 39713 7798 2076 516 516 CD 39713 7798 2077 , , , 39713 7798 2078 536 536 CD 39713 7798 2079 , , , 39713 7798 2080 538 538 CD 39713 7798 2081 Newton Newton NNP 39713 7798 2082 's 's POS 39713 7798 2083 argument argument NN 39713 7798 2084 , , , 39713 7798 2085 108 108 CD 39713 7798 2086 , , , 39713 7798 2087 334 334 CD 39713 7798 2088 , , , 39713 7798 2089 343 343 CD 39713 7798 2090 law law NN 39713 7798 2091 , , , 39713 7798 2092 111 111 CD 39713 7798 2093 , , , 39713 7798 2094 118 118 CD 39713 7798 2095 , , , 39713 7798 2096 132 132 CD 39713 7798 2097 , , , 39713 7798 2098 136 136 CD 39713 7798 2099 , , , 39713 7798 2100 149 149 CD 39713 7798 2101 , , , 39713 7798 2102 157 157 CD 39713 7798 2103 , , , 39713 7798 2104 233 233 CD 39713 7798 2105 , , , 39713 7798 2106 282 282 CD 39713 7798 2107 , , , 39713 7798 2108 292 292 CD 39713 7798 2109 , , , 39713 7798 2110 512 512 CD 39713 7798 2111 , , , 39713 7798 2112 514 514 CD 39713 7798 2113 - - SYM 39713 7798 2114 5 5 CD 39713 7798 2115 , , , 39713 7798 2116 518 518 CD 39713 7798 2117 , , , 39713 7798 2118 525 525 CD 39713 7798 2119 principle principle NN 39713 7798 2120 , , , 39713 7798 2121 146 146 CD 39713 7798 2122 , , , 39713 7798 2123 300 300 CD 39713 7798 2124 , , , 39713 7798 2125 308 308 CD 39713 7798 2126 - - SYM 39713 7798 2127 9 9 CD 39713 7798 2128 , , , 39713 7798 2129 312 312 CD 39713 7798 2130 no no DT 39713 7798 2131 - - HYPH 39713 7798 2132 class class NN 39713 7798 2133 theory theory NN 39713 7798 2134 , , , 39713 7798 2135 478 478 CD 39713 7798 2136 nominalism nominalism NN 39713 7798 2137 , , , 39713 7798 2138 28 28 CD 39713 7798 2139 , , , 39713 7798 2140 125 125 CD 39713 7798 2141 , , , 39713 7798 2142 321 321 CD 39713 7798 2143 , , , 39713 7798 2144 333 333 CD 39713 7798 2145 , , , 39713 7798 2146 335 335 CD 39713 7798 2147 non non JJ 39713 7798 2148 - - JJ 39713 7798 2149 Euclidean euclidean JJ 39713 7798 2150 geometry geometry NN 39713 7798 2151 , , , 39713 7798 2152 55 55 CD 39713 7798 2153 , , , 39713 7798 2154 59 59 CD 39713 7798 2155 , , , 39713 7798 2156 388 388 CD 39713 7798 2157 language language NN 39713 7798 2158 , , , 39713 7798 2159 127 127 CD 39713 7798 2160 space space NN 39713 7798 2161 , , , 39713 7798 2162 55 55 CD 39713 7798 2163 , , , 39713 7798 2164 235 235 CD 39713 7798 2165 , , , 39713 7798 2166 237 237 CD 39713 7798 2167 straight straight NN 39713 7798 2168 , , , 39713 7798 2169 236 236 CD 39713 7798 2170 , , , 39713 7798 2171 470 470 CD 39713 7798 2172 world world NN 39713 7798 2173 , , , 39713 7798 2174 75 75 CD 39713 7798 2175 number number NN 39713 7798 2176 , , , 39713 7798 2177 31 31 CD 39713 7798 2178 big big JJ 39713 7798 2179 , , , 39713 7798 2180 88 88 CD 39713 7798 2181 imaginary imaginary NN 39713 7798 2182 , , , 39713 7798 2183 283 283 CD 39713 7798 2184 incommensurable incommensurable NN 39713 7798 2185 , , , 39713 7798 2186 44 44 CD 39713 7798 2187 transfinite transfinite NN 39713 7798 2188 , , , 39713 7798 2189 448 448 CD 39713 7798 2190 - - SYM 39713 7798 2191 9 9 CD 39713 7798 2192 whole whole NN 39713 7798 2193 , , , 39713 7798 2194 44 44 CD 39713 7798 2195 , , , 39713 7798 2196 469 469 CD 39713 7798 2197 objectivity objectivity NN 39713 7798 2198 , , , 39713 7798 2199 209 209 CD 39713 7798 2200 , , , 39713 7798 2201 347 347 CD 39713 7798 2202 , , , 39713 7798 2203 349 349 CD 39713 7798 2204 , , , 39713 7798 2205 408 408 CD 39713 7798 2206 optical optical JJ 39713 7798 2207 illusions illusion NNS 39713 7798 2208 , , , 39713 7798 2209 202 202 CD 39713 7798 2210 optics optic NNS 39713 7798 2211 , , , 39713 7798 2212 174 174 CD 39713 7798 2213 , , , 39713 7798 2214 496 496 CD 39713 7798 2215 orbit orbit NN 39713 7798 2216 of of IN 39713 7798 2217 Saturn Saturn NNP 39713 7798 2218 , , , 39713 7798 2219 341 341 CD 39713 7798 2220 order order NN 39713 7798 2221 , , , 39713 7798 2222 385 385 CD 39713 7798 2223 orientation orientation NN 39713 7798 2224 , , , 39713 7798 2225 83 83 CD 39713 7798 2226 osmotic osmotic NN 39713 7798 2227 , , , 39713 7798 2228 141 141 CD 39713 7798 2229 Padoa Padoa NNP 39713 7798 2230 , , , 39713 7798 2231 463 463 CD 39713 7798 2232 Panthéon Panthéon NNP 39713 7798 2233 , , , 39713 7798 2234 414 414 CD 39713 7798 2235 parallax parallax NN 39713 7798 2236 , , , 39713 7798 2237 470 470 CD 39713 7798 2238 parallels parallel NNS 39713 7798 2239 , , , 39713 7798 2240 56 56 CD 39713 7798 2241 , , , 39713 7798 2242 443 443 CD 39713 7798 2243 Paris Paris NNP 39713 7798 2244 time time NN 39713 7798 2245 , , , 39713 7798 2246 233 233 CD 39713 7798 2247 parry parry NN 39713 7798 2248 , , , 39713 7798 2249 419 419 CD 39713 7798 2250 - - SYM 39713 7798 2251 22 22 CD 39713 7798 2252 , , , 39713 7798 2253 427 427 CD 39713 7798 2254 partition partition NN 39713 7798 2255 , , , 39713 7798 2256 45 45 CD 39713 7798 2257 pasigraphy pasigraphy NN 39713 7798 2258 , , , 39713 7798 2259 456 456 CD 39713 7798 2260 - - SYM 39713 7798 2261 7 7 CD 39713 7798 2262 Pasteur Pasteur NNP 39713 7798 2263 , , , 39713 7798 2264 128 128 CD 39713 7798 2265 Peano Peano NNP 39713 7798 2266 , , , 39713 7798 2267 450 450 CD 39713 7798 2268 , , , 39713 7798 2269 456 456 CD 39713 7798 2270 - - SYM 39713 7798 2271 9 9 CD 39713 7798 2272 , , , 39713 7798 2273 463 463 CD 39713 7798 2274 , , , 39713 7798 2275 472 472 CD 39713 7798 2276 Pender Pender NNP 39713 7798 2277 , , , 39713 7798 2278 490 490 CD 39713 7798 2279 pendulum pendulum NN 39713 7798 2280 , , , 39713 7798 2281 224 224 CD 39713 7798 2282 Perrier Perrier NNP 39713 7798 2283 , , , 39713 7798 2284 541 541 CD 39713 7798 2285 Perrin Perrin NNP 39713 7798 2286 , , , 39713 7798 2287 195 195 CD 39713 7798 2288 phosphorus phosphorus NN 39713 7798 2289 , , , 39713 7798 2290 333 333 CD 39713 7798 2291 , , , 39713 7798 2292 468 468 CD 39713 7798 2293 , , , 39713 7798 2294 470 470 CD 39713 7798 2295 - - SYM 39713 7798 2296 1 1 CD 39713 7798 2297 physical physical JJ 39713 7798 2298 continuum continuum NN 39713 7798 2299 , , , 39713 7798 2300 46 46 CD 39713 7798 2301 physics physics NN 39713 7798 2302 , , , 39713 7798 2303 127 127 CD 39713 7798 2304 , , , 39713 7798 2305 140 140 CD 39713 7798 2306 , , , 39713 7798 2307 144 144 CD 39713 7798 2308 , , , 39713 7798 2309 279 279 CD 39713 7798 2310 , , , 39713 7798 2311 297 297 CD 39713 7798 2312 physics physic NNS 39713 7798 2313 of of IN 39713 7798 2314 central central JJ 39713 7798 2315 forces force NNS 39713 7798 2316 , , , 39713 7798 2317 297 297 CD 39713 7798 2318 of of IN 39713 7798 2319 the the DT 39713 7798 2320 principles principle NNS 39713 7798 2321 , , , 39713 7798 2322 299 299 CD 39713 7798 2323 Pieri Pieri NNP 39713 7798 2324 , , , 39713 7798 2325 11 11 CD 39713 7798 2326 , , , 39713 7798 2327 203 203 CD 39713 7798 2328 Plato Plato NNP 39713 7798 2329 , , , 39713 7798 2330 292 292 CD 39713 7798 2331 Poincaré Poincaré NNP 39713 7798 2332 , , , 39713 7798 2333 473 473 CD 39713 7798 2334 point point NN 39713 7798 2335 , , , 39713 7798 2336 89 89 CD 39713 7798 2337 , , , 39713 7798 2338 244 244 CD 39713 7798 2339 Poncelet Poncelet NNP 39713 7798 2340 , , , 39713 7798 2341 215 215 CD 39713 7798 2342 postulates postulate NNS 39713 7798 2343 , , , 39713 7798 2344 382 382 CD 39713 7798 2345 potential potential JJ 39713 7798 2346 energy energy NN 39713 7798 2347 , , , 39713 7798 2348 116 116 CD 39713 7798 2349 praseodymium praseodymium NN 39713 7798 2350 , , , 39713 7798 2351 333 333 CD 39713 7798 2352 principle principle NN 39713 7798 2353 , , , 39713 7798 2354 125 125 CD 39713 7798 2355 , , , 39713 7798 2356 299 299 CD 39713 7798 2357 Carnot Carnot NNP 39713 7798 2358 's 's POS 39713 7798 2359 , , , 39713 7798 2360 143 143 CD 39713 7798 2361 , , , 39713 7798 2362 151 151 CD 39713 7798 2363 , , , 39713 7798 2364 300 300 CD 39713 7798 2365 , , , 39713 7798 2366 303 303 CD 39713 7798 2367 - - SYM 39713 7798 2368 5 5 CD 39713 7798 2369 , , , 39713 7798 2370 399 399 CD 39713 7798 2371 Clausius clausius NN 39713 7798 2372 ' ' '' 39713 7798 2373 , , , 39713 7798 2374 119 119 CD 39713 7798 2375 , , , 39713 7798 2376 123 123 CD 39713 7798 2377 , , , 39713 7798 2378 143 143 CD 39713 7798 2379 Hamilton Hamilton NNP 39713 7798 2380 's 's POS 39713 7798 2381 , , , 39713 7798 2382 115 115 CD 39713 7798 2383 Lavoisier Lavoisier NNP 39713 7798 2384 's 's POS 39713 7798 2385 , , , 39713 7798 2386 300 300 CD 39713 7798 2387 , , , 39713 7798 2388 310 310 CD 39713 7798 2389 Mayer Mayer NNP 39713 7798 2390 's 's POS 39713 7798 2391 , , , 39713 7798 2392 119 119 CD 39713 7798 2393 , , , 39713 7798 2394 121 121 CD 39713 7798 2395 , , , 39713 7798 2396 123 123 CD 39713 7798 2397 , , , 39713 7798 2398 300 300 CD 39713 7798 2399 , , , 39713 7798 2400 312 312 CD 39713 7798 2401 , , , 39713 7798 2402 318 318 CD 39713 7798 2403 Newton Newton NNP 39713 7798 2404 's 's POS 39713 7798 2405 , , , 39713 7798 2406 146 146 CD 39713 7798 2407 , , , 39713 7798 2408 300 300 CD 39713 7798 2409 , , , 39713 7798 2410 308 308 CD 39713 7798 2411 - - SYM 39713 7798 2412 9 9 CD 39713 7798 2413 , , , 39713 7798 2414 312 312 CD 39713 7798 2415 of of IN 39713 7798 2416 action action NN 39713 7798 2417 and and CC 39713 7798 2418 reaction reaction NN 39713 7798 2419 , , , 39713 7798 2420 300 300 CD 39713 7798 2421 , , , 39713 7798 2422 487 487 CD 39713 7798 2423 , , , 39713 7798 2424 502 502 CD 39713 7798 2425 of of IN 39713 7798 2426 conservation conservation NN 39713 7798 2427 of of IN 39713 7798 2428 energy energy NN 39713 7798 2429 , , , 39713 7798 2430 300 300 CD 39713 7798 2431 of of IN 39713 7798 2432 degradation degradation NN 39713 7798 2433 of of IN 39713 7798 2434 energy energy NN 39713 7798 2435 , , , 39713 7798 2436 300 300 CD 39713 7798 2437 of of IN 39713 7798 2438 inertia inertia NN 39713 7798 2439 , , , 39713 7798 2440 93 93 CD 39713 7798 2441 , , , 39713 7798 2442 486 486 CD 39713 7798 2443 , , , 39713 7798 2444 507 507 CD 39713 7798 2445 of of IN 39713 7798 2446 least least JJS 39713 7798 2447 action action NN 39713 7798 2448 , , , 39713 7798 2449 118 118 CD 39713 7798 2450 , , , 39713 7798 2451 300 300 CD 39713 7798 2452 of of IN 39713 7798 2453 relativity relativity NN 39713 7798 2454 , , , 39713 7798 2455 300 300 CD 39713 7798 2456 , , , 39713 7798 2457 305 305 CD 39713 7798 2458 , , , 39713 7798 2459 498 498 CD 39713 7798 2460 , , , 39713 7798 2461 505 505 CD 39713 7798 2462 Prony prony NN 39713 7798 2463 , , , 39713 7798 2464 445 445 CD 39713 7798 2465 psychologist psychologist NN 39713 7798 2466 , , , 39713 7798 2467 383 383 CD 39713 7798 2468 Ptolemy Ptolemy NNP 39713 7798 2469 , , , 39713 7798 2470 110 110 CD 39713 7798 2471 , , , 39713 7798 2472 291 291 CD 39713 7798 2473 , , , 39713 7798 2474 353 353 CD 39713 7798 2475 - - SYM 39713 7798 2476 4 4 CD 39713 7798 2477 Pythagoras Pythagoras NNPS 39713 7798 2478 , , , 39713 7798 2479 292 292 CD 39713 7798 2480 quadrature quadrature NN 39713 7798 2481 of of IN 39713 7798 2482 the the DT 39713 7798 2483 circle circle NN 39713 7798 2484 , , , 39713 7798 2485 161 161 CD 39713 7798 2486 qualitative qualitative JJ 39713 7798 2487 geometry geometry NN 39713 7798 2488 , , , 39713 7798 2489 238 238 CD 39713 7798 2490 space space NN 39713 7798 2491 , , , 39713 7798 2492 207 207 CD 39713 7798 2493 time time NN 39713 7798 2494 , , , 39713 7798 2495 224 224 CD 39713 7798 2496 quaternions quaternion NNS 39713 7798 2497 , , , 39713 7798 2498 282 282 CD 39713 7798 2499 radiometer radiometer NN 39713 7798 2500 , , , 39713 7798 2501 503 503 CD 39713 7798 2502 radium radium NN 39713 7798 2503 , , , 39713 7798 2504 312 312 CD 39713 7798 2505 , , , 39713 7798 2506 318 318 CD 39713 7798 2507 , , , 39713 7798 2508 486 486 CD 39713 7798 2509 - - SYM 39713 7798 2510 7 7 CD 39713 7798 2511 Rados Rados NNP 39713 7798 2512 , , , 39713 7798 2513 201 201 CD 39713 7798 2514 Ramsay Ramsay NNP 39713 7798 2515 , , , 39713 7798 2516 313 313 CD 39713 7798 2517 rational rational JJ 39713 7798 2518 geometry geometry NN 39713 7798 2519 , , , 39713 7798 2520 5 5 CD 39713 7798 2521 , , , 39713 7798 2522 467 467 CD 39713 7798 2523 reaction reaction NN 39713 7798 2524 , , , 39713 7798 2525 502 502 CD 39713 7798 2526 reality reality NN 39713 7798 2527 , , , 39713 7798 2528 217 217 CD 39713 7798 2529 , , , 39713 7798 2530 340 340 CD 39713 7798 2531 , , , 39713 7798 2532 349 349 CD 39713 7798 2533 Réaumur Réaumur NNP 39713 7798 2534 , , , 39713 7798 2535 238 238 CD 39713 7798 2536 recurrence recurrence NN 39713 7798 2537 , , , 39713 7798 2538 37 37 CD 39713 7798 2539 Regnault regnault NN 39713 7798 2540 , , , 39713 7798 2541 170 170 CD 39713 7798 2542 relativity relativity NN 39713 7798 2543 , , , 39713 7798 2544 83 83 CD 39713 7798 2545 , , , 39713 7798 2546 305 305 CD 39713 7798 2547 , , , 39713 7798 2548 417 417 CD 39713 7798 2549 , , , 39713 7798 2550 423 423 CD 39713 7798 2551 , , , 39713 7798 2552 498 498 CD 39713 7798 2553 , , , 39713 7798 2554 505 505 CD 39713 7798 2555 Richard Richard NNP 39713 7798 2556 , , , 39713 7798 2557 477 477 CD 39713 7798 2558 - - SYM 39713 7798 2559 8 8 CD 39713 7798 2560 , , , 39713 7798 2561 480 480 CD 39713 7798 2562 - - SYM 39713 7798 2563 1 1 CD 39713 7798 2564 Riemann Riemann NNP 39713 7798 2565 , , , 39713 7798 2566 56 56 CD 39713 7798 2567 , , , 39713 7798 2568 62 62 CD 39713 7798 2569 , , , 39713 7798 2570 145 145 CD 39713 7798 2571 , , , 39713 7798 2572 212 212 CD 39713 7798 2573 , , , 39713 7798 2574 239 239 CD 39713 7798 2575 , , , 39713 7798 2576 243 243 CD 39713 7798 2577 , , , 39713 7798 2578 381 381 CD 39713 7798 2579 , , , 39713 7798 2580 432 432 CD 39713 7798 2581 surface surface NN 39713 7798 2582 , , , 39713 7798 2583 211 211 CD 39713 7798 2584 , , , 39713 7798 2585 287 287 CD 39713 7798 2586 Roemer Roemer NNP 39713 7798 2587 , , , 39713 7798 2588 233 233 CD 39713 7798 2589 Röntgen Röntgen NNP 39713 7798 2590 , , , 39713 7798 2591 511 511 CD 39713 7798 2592 , , , 39713 7798 2593 520 520 CD 39713 7798 2594 rotation rotation NN 39713 7798 2595 of of IN 39713 7798 2596 earth earth NN 39713 7798 2597 , , , 39713 7798 2598 225 225 CD 39713 7798 2599 , , , 39713 7798 2600 331 331 CD 39713 7798 2601 , , , 39713 7798 2602 353 353 CD 39713 7798 2603 roulette roulette NN 39713 7798 2604 , , , 39713 7798 2605 403 403 CD 39713 7798 2606 Rowland Rowland NNP 39713 7798 2607 , , , 39713 7798 2608 194 194 CD 39713 7798 2609 - - SYM 39713 7798 2610 7 7 CD 39713 7798 2611 , , , 39713 7798 2612 305 305 CD 39713 7798 2613 , , , 39713 7798 2614 489 489 CD 39713 7798 2615 Royce Royce NNP 39713 7798 2616 , , , 39713 7798 2617 202 202 CD 39713 7798 2618 Russell Russell NNP 39713 7798 2619 , , , 39713 7798 2620 201 201 CD 39713 7798 2621 , , , 39713 7798 2622 450 450 CD 39713 7798 2623 , , , 39713 7798 2624 460 460 CD 39713 7798 2625 - - SYM 39713 7798 2626 2 2 CD 39713 7798 2627 , , , 39713 7798 2628 464 464 CD 39713 7798 2629 - - SYM 39713 7798 2630 7 7 CD 39713 7798 2631 , , , 39713 7798 2632 471 471 CD 39713 7798 2633 - - SYM 39713 7798 2634 4 4 CD 39713 7798 2635 , , , 39713 7798 2636 477 477 CD 39713 7798 2637 - - SYM 39713 7798 2638 82 82 CD 39713 7798 2639 , , , 39713 7798 2640 484 484 CD 39713 7798 2641 - - SYM 39713 7798 2642 5 5 CD 39713 7798 2643 St. St. NNP 39713 7798 2644 Louis Louis NNP 39713 7798 2645 exposition exposition NN 39713 7798 2646 , , , 39713 7798 2647 208 208 CD 39713 7798 2648 , , , 39713 7798 2649 320 320 CD 39713 7798 2650 Sarcey Sarcey NNP 39713 7798 2651 , , , 39713 7798 2652 442 442 CD 39713 7798 2653 Saturn Saturn NNP 39713 7798 2654 , , , 39713 7798 2655 231 231 CD 39713 7798 2656 , , , 39713 7798 2657 317 317 CD 39713 7798 2658 Schiller Schiller NNP 39713 7798 2659 , , , 39713 7798 2660 202 202 CD 39713 7798 2661 Schliemann Schliemann NNP 39713 7798 2662 , , , 39713 7798 2663 19 19 CD 39713 7798 2664 science science NN 39713 7798 2665 , , , 39713 7798 2666 205 205 CD 39713 7798 2667 , , , 39713 7798 2668 321 321 CD 39713 7798 2669 , , , 39713 7798 2670 323 323 CD 39713 7798 2671 , , , 39713 7798 2672 340 340 CD 39713 7798 2673 , , , 39713 7798 2674 354 354 CD 39713 7798 2675 Science science NN 39713 7798 2676 and and CC 39713 7798 2677 Hypothesis Hypothesis NNP 39713 7798 2678 , , , 39713 7798 2679 205 205 CD 39713 7798 2680 - - SYM 39713 7798 2681 7 7 CD 39713 7798 2682 , , , 39713 7798 2683 220 220 CD 39713 7798 2684 , , , 39713 7798 2685 240 240 CD 39713 7798 2686 , , , 39713 7798 2687 246 246 CD 39713 7798 2688 - - SYM 39713 7798 2689 7 7 CD 39713 7798 2690 , , , 39713 7798 2691 319 319 CD 39713 7798 2692 , , , 39713 7798 2693 353 353 CD 39713 7798 2694 , , , 39713 7798 2695 452 452 CD 39713 7798 2696 semicircular semicircular JJ 39713 7798 2697 canals canal NNS 39713 7798 2698 , , , 39713 7798 2699 276 276 CD 39713 7798 2700 series series NN 39713 7798 2701 , , , 39713 7798 2702 development development NN 39713 7798 2703 in in IN 39713 7798 2704 , , , 39713 7798 2705 287 287 CD 39713 7798 2706 Fourier Fourier NNP 39713 7798 2707 's 's POS 39713 7798 2708 , , , 39713 7798 2709 286 286 CD 39713 7798 2710 Sirius Sirius NNP 39713 7798 2711 , , , 39713 7798 2712 226 226 CD 39713 7798 2713 , , , 39713 7798 2714 229 229 CD 39713 7798 2715 solid solid JJ 39713 7798 2716 bodies body NNS 39713 7798 2717 , , , 39713 7798 2718 72 72 CD 39713 7798 2719 space space NN 39713 7798 2720 , , , 39713 7798 2721 55 55 CD 39713 7798 2722 , , , 39713 7798 2723 66 66 CD 39713 7798 2724 , , , 39713 7798 2725 89 89 CD 39713 7798 2726 , , , 39713 7798 2727 235 235 CD 39713 7798 2728 , , , 39713 7798 2729 256 256 CD 39713 7798 2730 absolute absolute JJ 39713 7798 2731 , , , 39713 7798 2732 85 85 CD 39713 7798 2733 , , , 39713 7798 2734 93 93 CD 39713 7798 2735 amorphous amorphous JJ 39713 7798 2736 , , , 39713 7798 2737 417 417 CD 39713 7798 2738 Bolyai Bolyai NNP 39713 7798 2739 , , , 39713 7798 2740 56 56 CD 39713 7798 2741 Euclidean Euclidean NNP 39713 7798 2742 , , , 39713 7798 2743 65 65 CD 39713 7798 2744 geometric geometric JJ 39713 7798 2745 , , , 39713 7798 2746 66 66 CD 39713 7798 2747 Lobachevski Lobachevski NNP 39713 7798 2748 's 's POS 39713 7798 2749 , , , 39713 7798 2750 239 239 CD 39713 7798 2751 motor motor NN 39713 7798 2752 , , , 39713 7798 2753 69 69 CD 39713 7798 2754 non non JJ 39713 7798 2755 - - JJ 39713 7798 2756 Euclidean euclidean JJ 39713 7798 2757 , , , 39713 7798 2758 55 55 CD 39713 7798 2759 , , , 39713 7798 2760 235 235 CD 39713 7798 2761 , , , 39713 7798 2762 237 237 CD 39713 7798 2763 of of IN 39713 7798 2764 four four CD 39713 7798 2765 dimensions dimension NNS 39713 7798 2766 , , , 39713 7798 2767 78 78 CD 39713 7798 2768 perceptual perceptual NN 39713 7798 2769 , , , 39713 7798 2770 66 66 CD 39713 7798 2771 , , , 39713 7798 2772 69 69 CD 39713 7798 2773 tactile tactile NN 39713 7798 2774 , , , 39713 7798 2775 68 68 CD 39713 7798 2776 , , , 39713 7798 2777 264 264 CD 39713 7798 2778 visual visual JJ 39713 7798 2779 , , , 39713 7798 2780 67 67 CD 39713 7798 2781 , , , 39713 7798 2782 252 252 CD 39713 7798 2783 spectra spectra NNP 39713 7798 2784 , , , 39713 7798 2785 316 316 CD 39713 7798 2786 spectroscope spectroscope NN 39713 7798 2787 , , , 39713 7798 2788 294 294 CD 39713 7798 2789 Spencer Spencer NNP 39713 7798 2790 , , , 39713 7798 2791 9 9 CD 39713 7798 2792 sponge sponge NN 39713 7798 2793 , , , 39713 7798 2794 219 219 CD 39713 7798 2795 Stallo Stallo NNP 39713 7798 2796 , , , 39713 7798 2797 10 10 CD 39713 7798 2798 stars star NNS 39713 7798 2799 , , , 39713 7798 2800 292 292 CD 39713 7798 2801 statistical statistical JJ 39713 7798 2802 mechanics mechanic NNS 39713 7798 2803 , , , 39713 7798 2804 304 304 CD 39713 7798 2805 straight straight RB 39713 7798 2806 , , , 39713 7798 2807 62 62 CD 39713 7798 2808 , , , 39713 7798 2809 82 82 CD 39713 7798 2810 , , , 39713 7798 2811 236 236 CD 39713 7798 2812 , , , 39713 7798 2813 433 433 CD 39713 7798 2814 , , , 39713 7798 2815 450 450 CD 39713 7798 2816 , , , 39713 7798 2817 470 470 CD 39713 7798 2818 Stratonoff Stratonoff NNP 39713 7798 2819 , , , 39713 7798 2820 531 531 CD 39713 7798 2821 surfaces surface NNS 39713 7798 2822 , , , 39713 7798 2823 58 58 CD 39713 7798 2824 systematic systematic JJ 39713 7798 2825 errors error NNS 39713 7798 2826 , , , 39713 7798 2827 171 171 CD 39713 7798 2828 tactile tactile NN 39713 7798 2829 space space NN 39713 7798 2830 , , , 39713 7798 2831 68 68 CD 39713 7798 2832 , , , 39713 7798 2833 264 264 CD 39713 7798 2834 Tait Tait NNP 39713 7798 2835 , , , 39713 7798 2836 98 98 CD 39713 7798 2837 tangent tangent NN 39713 7798 2838 , , , 39713 7798 2839 51 51 CD 39713 7798 2840 Tannery tannery RB 39713 7798 2841 , , , 39713 7798 2842 43 43 CD 39713 7798 2843 teaching teaching NN 39713 7798 2844 , , , 39713 7798 2845 430 430 CD 39713 7798 2846 , , , 39713 7798 2847 437 437 CD 39713 7798 2848 thermodynamics thermodynamic NNS 39713 7798 2849 , , , 39713 7798 2850 115 115 CD 39713 7798 2851 , , , 39713 7798 2852 119 119 CD 39713 7798 2853 Thomson Thomson NNP 39713 7798 2854 , , , 39713 7798 2855 98 98 CD 39713 7798 2856 , , , 39713 7798 2857 488 488 CD 39713 7798 2858 thread thread NN 39713 7798 2859 , , , 39713 7798 2860 104 104 CD 39713 7798 2861 time time NN 39713 7798 2862 , , , 39713 7798 2863 223 223 CD 39713 7798 2864 equality equality NN 39713 7798 2865 , , , 39713 7798 2866 225 225 CD 39713 7798 2867 local local JJ 39713 7798 2868 , , , 39713 7798 2869 306 306 CD 39713 7798 2870 , , , 39713 7798 2871 307 307 CD 39713 7798 2872 measure measure NN 39713 7798 2873 of of IN 39713 7798 2874 , , , 39713 7798 2875 223 223 CD 39713 7798 2876 - - SYM 39713 7798 2877 4 4 CD 39713 7798 2878 Tisserand Tisserand NNP 39713 7798 2879 , , , 39713 7798 2880 515 515 CD 39713 7798 2881 - - SYM 39713 7798 2882 6 6 CD 39713 7798 2883 Tolstoi Tolstoi NNP 39713 7798 2884 , , , 39713 7798 2885 354 354 CD 39713 7798 2886 , , , 39713 7798 2887 362 362 CD 39713 7798 2888 , , , 39713 7798 2889 368 368 CD 39713 7798 2890 Tommasina Tommasina NNP 39713 7798 2891 , , , 39713 7798 2892 519 519 CD 39713 7798 2893 Transylvania Transylvania NNP 39713 7798 2894 , , , 39713 7798 2895 203 203 CD 39713 7798 2896 triangle triangle NN 39713 7798 2897 , , , 39713 7798 2898 58 58 CD 39713 7798 2899 angle angle NN 39713 7798 2900 sum sum NN 39713 7798 2901 of of IN 39713 7798 2902 , , , 39713 7798 2903 58 58 CD 39713 7798 2904 truth truth NN 39713 7798 2905 , , , 39713 7798 2906 205 205 CD 39713 7798 2907 Tycho Tycho NNP 39713 7798 2908 Brahe Brahe NNP 39713 7798 2909 , , , 39713 7798 2910 133 133 CD 39713 7798 2911 , , , 39713 7798 2912 153 153 CD 39713 7798 2913 , , , 39713 7798 2914 228 228 CD 39713 7798 2915 unity unity NN 39713 7798 2916 of of IN 39713 7798 2917 nature nature NN 39713 7798 2918 , , , 39713 7798 2919 130 130 CD 39713 7798 2920 universal universal JJ 39713 7798 2921 invariant invariant NN 39713 7798 2922 , , , 39713 7798 2923 333 333 CD 39713 7798 2924 Uriel Uriel NNP 39713 7798 2925 , , , 39713 7798 2926 203 203 CD 39713 7798 2927 van van NNP 39713 7798 2928 der der IN 39713 7798 2929 Waals Waals NNP 39713 7798 2930 , , , 39713 7798 2931 153 153 CD 39713 7798 2932 Vauban Vauban NNP 39713 7798 2933 , , , 39713 7798 2934 210 210 CD 39713 7798 2935 Veblen Veblen NNP 39713 7798 2936 , , , 39713 7798 2937 203 203 CD 39713 7798 2938 velocity velocity NN 39713 7798 2939 of of IN 39713 7798 2940 light light NN 39713 7798 2941 , , , 39713 7798 2942 232 232 CD 39713 7798 2943 , , , 39713 7798 2944 312 312 CD 39713 7798 2945 Venus venus NN 39713 7798 2946 of of IN 39713 7798 2947 Milo Milo NNP 39713 7798 2948 , , , 39713 7798 2949 201 201 CD 39713 7798 2950 verification verification NN 39713 7798 2951 , , , 39713 7798 2952 33 33 CD 39713 7798 2953 Virchow Virchow NNP 39713 7798 2954 , , , 39713 7798 2955 21 21 CD 39713 7798 2956 visual visual JJ 39713 7798 2957 impressions impression NNS 39713 7798 2958 , , , 39713 7798 2959 252 252 CD 39713 7798 2960 space space NN 39713 7798 2961 , , , 39713 7798 2962 67 67 CD 39713 7798 2963 , , , 39713 7798 2964 252 252 CD 39713 7798 2965 Volga Volga NNP 39713 7798 2966 , , , 39713 7798 2967 203 203 CD 39713 7798 2968 Voltaire Voltaire NNP 39713 7798 2969 , , , 39713 7798 2970 537 537 CD 39713 7798 2971 - - SYM 39713 7798 2972 8 8 CD 39713 7798 2973 Weber Weber NNP 39713 7798 2974 , , , 39713 7798 2975 117 117 CD 39713 7798 2976 , , , 39713 7798 2977 515 515 CD 39713 7798 2978 - - SYM 39713 7798 2979 6 6 CD 39713 7798 2980 Weierstrass Weierstrass NNP 39713 7798 2981 , , , 39713 7798 2982 11 11 CD 39713 7798 2983 , , , 39713 7798 2984 212 212 CD 39713 7798 2985 , , , 39713 7798 2986 432 432 CD 39713 7798 2987 Whitehead Whitehead NNP 39713 7798 2988 , , , 39713 7798 2989 472 472 CD 39713 7798 2990 , , , 39713 7798 2991 481 481 CD 39713 7798 2992 - - SYM 39713 7798 2993 2 2 CD 39713 7798 2994 whole whole JJ 39713 7798 2995 numbers number NNS 39713 7798 2996 , , , 39713 7798 2997 44 44 CD 39713 7798 2998 Wiechert Wiechert NNP 39713 7798 2999 , , , 39713 7798 3000 145 145 CD 39713 7798 3001 , , , 39713 7798 3002 488 488 CD 39713 7798 3003 x x NNS 39713 7798 3004 - - NNS 39713 7798 3005 rays ray NNS 39713 7798 3006 , , , 39713 7798 3007 152 152 CD 39713 7798 3008 , , , 39713 7798 3009 511 511 CD 39713 7798 3010 , , , 39713 7798 3011 520 520 CD 39713 7798 3012 Zeeman Zeeman NNP 39713 7798 3013 effect effect NN 39713 7798 3014 , , , 39713 7798 3015 152 152 CD 39713 7798 3016 , , , 39713 7798 3017 196 196 CD 39713 7798 3018 , , , 39713 7798 3019 317 317 CD 39713 7798 3020 , , , 39713 7798 3021 494 494 CD 39713 7798 3022 Zeno Zeno NNP 39713 7798 3023 , , , 39713 7798 3024 382 382 CD 39713 7798 3025 Zermelo Zermelo NNP 39713 7798 3026 , , , 39713 7798 3027 477 477 CD 39713 7798 3028 , , , 39713 7798 3029 482 482 CD 39713 7798 3030 - - SYM 39713 7798 3031 3 3 CD 39713 7798 3032 zigzag zigzag NNP 39713 7798 3033 theory theory NN 39713 7798 3034 , , , 39713 7798 3035 478 478 CD 39713 7798 3036 zodiac zodiac NN 39713 7798 3037 , , , 39713 7798 3038 398 398 CD 39713 7798 3039 , , , 39713 7798 3040 404 404 CD 39713 7798 3041 * * NFP 39713 7798 3042 * * NFP 39713 7798 3043 * * NFP 39713 7798 3044 * * NFP 39713 7798 3045 * * NFP 39713 7798 3046 Transcriber Transcriber NNP 39713 7798 3047 's 's POS 39713 7798 3048 Note note NN 39713 7798 3049 : : : 39713 7798 3050 The the DT 39713 7798 3051 Greek greek JJ 39713 7798 3052 alphabets alphabet NNS 39713 7798 3053 are be VBP 39713 7798 3054 represented represent VBN 39713 7798 3055 within within IN 39713 7798 3056 square square JJ 39713 7798 3057 brackets bracket NNS 39713 7798 3058 . . . 39713 7799 1 For for IN 39713 7799 2 example example NN 39713 7799 3 , , , 39713 7799 4 [ [ -LRB- 39713 7799 5 alpha alpha NN 39713 7799 6 ] ] -RRB- 39713 7799 7 stands stand VBZ 39713 7799 8 for for IN 39713 7799 9 first first JJ 39713 7799 10 Greek greek JJ 39713 7799 11 alphabet alphabet NN 39713 7799 12 alpha alpha NN 39713 7799 13 . . . 39713 7800 1 Square square JJ 39713 7800 2 root root NN 39713 7800 3 of of IN 39713 7800 4 a a DT 39713 7800 5 number number NN 39713 7800 6 is be VBZ 39713 7800 7 represented represent VBN 39713 7800 8 using use VBG 39713 7800 9 the the DT 39713 7800 10 symbol symbol NN 39713 7800 11 ( ( -LRB- 39713 7800 12 sqrt sqrt NN 39713 7800 13 ) ) -RRB- 39713 7800 14 . . . 39713 7801 1 That that DT 39713 7801 2 is be VBZ 39713 7801 3 to to TO 39713 7801 4 say say VB 39713 7801 5 , , , 39713 7801 6 sqrt(25 sqrt(25 NNP 39713 7801 7 ) ) -RRB- 39713 7801 8 stands stand VBZ 39713 7801 9 for for IN 39713 7801 10 square square JJ 39713 7801 11 root root NN 39713 7801 12 of of IN 39713 7801 13 25 25 CD 39713 7801 14 . . . 39713 7802 1 The the DT 39713 7802 2 superscript superscript NN 39713 7802 3 is be VBZ 39713 7802 4 shown show VBN 39713 7802 5 with with IN 39713 7802 6 carat carat NNP 39713 7802 7 ( ( -LRB- 39713 7802 8 ^ ^ FW 39713 7802 9 ) ) -RRB- 39713 7802 10 symbol symbol NN 39713 7802 11 , , , 39713 7802 12 example example NN 39713 7802 13 , , , 39713 7802 14 10^{5 10^{5 CD 39713 7802 15 } } -RRB- 39713 7802 16 stands stand VBZ 39713 7802 17 for for IN 39713 7802 18 5th 5th JJ 39713 7802 19 power power NN 39713 7802 20 of of IN 39713 7802 21 10 10 CD 39713 7802 22 . . . 39713 7803 1 Similarly similarly RB 39713 7803 2 , , , 39713 7803 3 subscript subscript NN 39713 7803 4 is be VBZ 39713 7803 5 represented represent VBN 39713 7803 6 by by IN 39713 7803 7 underscore underscore NN 39713 7803 8 ( ( -LRB- 39713 7803 9 _ _ NNP 39713 7803 10 ) ) -RRB- 39713 7803 11 symbol symbol NN 39713 7803 12 . . . 39713 7804 1 For for IN 39713 7804 2 instance instance NN 39713 7804 3 , , , 39713 7804 4 n_{3 n_{3 NN 39713 7804 5 } } -RRB- 39713 7804 6 stands stand VBZ 39713 7804 7 for for IN 39713 7804 8 letter letter NN 39713 7804 9 n n CC 39713 7804 10 with with IN 39713 7804 11 subscript subscript NN 39713 7804 12 3 3 CD 39713 7804 13 . . .