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 LixJiviiiv 1
 
 THE NEW RATIONALISM 
 
 THE DEVELOPMENT OF A CONSTRUCTIVE REALISM 
 
 UPON THE BASIS OF MODERN LOGIC AND SCIENCE, 
 
 AND THROUGH THE CRITICISM OF OPPOSED 
 
 PHILOSOPHICAL SYSTEMS 
 
 BY 
 
 EDWARD GLEASON SPAULDING 
 
 Professor of Philosophy in Princetoo Uciversity 
 
 NEW YORK 
 
 HENRY HOLT AND COMPANY 
 
 r*. "- (^ (\ O 
 
 C^ D V-'' *>•■> ^
 
 COPTKIQHT, 1918, 
 BY 
 
 HENRY HOLT AND COMPANY 
 PubliBhed May, 1918 
 
 THE QUINN « BODCN 00. Mill 
 HAHWAY, N. J.
 
 i 
 
 ^3 3 
 
 Cop,( 
 
 PREFACE 
 
 As I send this manuscript to the publishers, I am keenly 
 aware of how far the results that it presents fall short of 
 attaining that ideal both of method and of accomplishment 
 which has been before me during the period of composition, and 
 which I have explained in Chapters I. and III. Yet coinci- 
 dentally with the closing of my labors I find that I am con- 
 vinced more strongly than ever that, although there are many 
 other ways, of undoubted value, in which to study philosophy, 
 nevertheless the point of view and the method of treating 
 problems which this book presents offer one way or mode of 
 approach that has thus far been of much too infrequent use in 
 philosophical investigation. For it has been my experience, 
 especially during a number of years of teaching at Princeton 
 University, as well as of presenting philosophical problems to 
 the scientific workers of the Marine Biological Laboratory at 
 Woods Hole, Mass., that there is, at present at least, a much 
 deeper interest in a systematic than in a historical treatment of 
 philosophy. An opportunity to satisfy such an interest would 
 be presented to a far greater extent than it now is, if only the 
 effort were made in philosophy, as it is in science, not to em- 
 phasize history, but to investigate problems of fact, and finally 
 to obtain such a fairly extensive body of knowledge as will 
 receive general acceptance and be recognized as meaning a well- 
 defined advance and progress. 
 
 The present tendency in philosophy, at least in our educa- 
 tional institutions, is, however, directly opposed to such a pro- 
 cedure, for it is to the almost exclusive study of the history of 
 philosophy that both student and general reader are urged and 
 directed. The result is that the average student of philosophy 
 is left so perplexed through, e.g., the multiplicity of systems 
 which his study discloses to him, that his dissatisfaction usually 
 far exceeds his satisfaction with the outcome of his intellectual 
 efforts. But even if this is not true of the student, it most
 
 vi PREFACE 
 
 certainly is the case with the scientist, who is thereby frequently 
 moved not only to the sharpest criticism of all philosophy what- 
 soever, but also to the total neglect of philosophical considera- 
 tions where these cannot well be neglected. 
 
 This book, therefore, represents the results of departing 
 abruptly from the historical method, and of endeavoring to 
 ascertain both what those postulates are from which each philo- 
 sophical system is logically derivable, and also, whether there 
 is, finally, one body of principles that is common to all systems, 
 and logically presupposed by them. 
 
 It is my conviction both that there is such a single "doc- 
 trine," difficult though it may be to discover what it is, and 
 also that this doctrine in its fundamentals is logically present in 
 every effort to philosophize rationally. 
 
 It is for these reasons, therefore, that I have chosen the title, 
 The New Rationalism, for a position which also becomes, as a 
 developed theory, a Neo-realism of ideals that are discovered by 
 reason, as well as of those reals that are disclosed to the senses 
 and that form what we call nature. 
 
 A further constant stimulus to my efforts has been the con- 
 viction, also, that, if it is to be admitted that philosophy is of 
 direct and far-reaching effect on life — and what more convincing 
 demonstration of such an effect could there be than the origins 
 of the present world-crisis? — then that philosophy which the 
 world needs to accept and to act upon at the present time, is 
 one that holds to the actuality of ideals, discovered by reason, 
 rather than one that justifies our living only in accordance with 
 our biological nature. For it is such a naturalistic philosophy 
 and ethics that, it seems to me, has not only actuated the present 
 attack on civilization, but is also persistently used to justify this 
 attack. 
 
 There is need, therefore, not only of combating by physical 
 force those physical forces to the use of which such a naturalistic 
 philosophy has led, but also of combating and refuting by 
 argument and by philosophical investigation that philosophy 
 which is used to justify such a physical attack — if only such 
 a refutation can be found. For if such a refutation cannot be 
 found, then intellectually our attitude should be one of calm 
 acceptance of the outcome, whatever it may be.
 
 PREFACE vii 
 
 It is a most important problem, then, to ascertain whether 
 or not there is possible a philosophical refutation of this nat- 
 uralism that is challenging the world to the very foundations 
 of its civilization, and, if there is such a refutation, to ascertain 
 vJiat it is, or where its means can be found. » 
 
 Such means are, however, surely not those of merely dog- 
 matically denying the truth of Naturalism, nor of studying its 
 history or development as a philosophy, nor, seemingly, of 
 appealing to the opposed system of Idealism, which in the face 
 of the present horrors that afflict humanity seems to have suf- 
 fered collapse in its basic doctrine that "all's well with the 
 A\orld." But, if the refutation of Naturalism is not possible 
 by such means, then it would seem to me that it is possible only 
 by a philosophy which can demonstrate that, while some 
 "things" evolve, not all "things" are subject to the principle 
 of evolution; that, while a ruthless struggle for existence may 
 be one condition for progress, cooperation is another and, per- 
 haps, more important condition ; that, while the best may survive 
 (and may not), the mere fact of survival is itself not identical 
 with heing the best; that, while justice may be useful to him 
 who survives, there are, nevertheless, other reasons for the 
 practice of justice than its usefulness; and, finally, that, al- 
 though nature is undeniably fact, not all fact is identical with 
 ruthlessly combating, slowly evolving, strongest-surviving na- 
 ture, but that there are some realities which are beyond nature, 
 and which, though they cannot be seen by the eye of the body, 
 are nevertheless revealed to reason. 
 
 The only philosophy, however, which can demonstrate these 
 things, — i.e., which can refute and not merely deny Naturalism 
 — is one that, in fearlessly submitting all "things" to reason's 
 testings, includes among these "things" the very means either 
 of defense or of refutation, namely, reason itself. And the 
 only outcome at which such a rational "criticism" of reason 
 itself can consistently arrive is one that justifies its own pro- 
 cedure, and, therefore, any rational procedure whatsoever, as 
 such. But such an outcome means the frank recognition that 
 there are not only facts of the senses, but also facts of the 
 reason, and that not all fact is part of nature or of evolution. 
 Such a philosophy is, however, Rationalism.
 
 Viii PREFACE 
 
 It is, therefore, both for the student and for the general 
 reader who are interested, first, in problems that concern fact 
 rather than history, and, secondly, in the more specijfic prob- 
 lem, What is the correct philosophy, Naturalism, or some other 
 opposed system? that this book is written. It is, also, for such 
 readers, in case they are not familiar with psychology and logic, 
 that I have presented certain questions, such as the Problems 
 of Method of Part I., Section III., that are not usually offered in 
 an ' ' Introduction. ' ' These Chapters may be omitted by one who 
 is conversant with their contents, as may also Chapters II., 
 XXII., XXIV., XLIII., vii.-x., if they are found too difficult. 
 
 In conclusion I desire to express my appreciation of the sym- 
 pathy and inspiration that I have received from my friends, 
 Professors E. B. Holt, W. T. Marvin, W. P. Montague, R. B. 
 Perry and W. B. Pitkin in the development of a point of view, 
 a method, and, finally, a positive philosophy. The present 
 volume is not cooperative, as was The New Realism in which 
 my five friends and myself collaborated, but it is, nevertheless, 
 in part an outgrowth of frequent discussions with these friends, 
 and of definite attempts to cooperate. 
 
 My thanks are also due my friend, Mr. Henry Lane Eno, 
 who, in thorough sympathy with the general character of my 
 endeavor, has kindly read the greater part of the manuscript. 
 I also desire to acknowledge my obligation to my friend and 
 colleague, Professor H. C. Longwell, for his careful reading of 
 the proofs. 
 
 Finally, I should explain, that the bibliographical references 
 are intended, not to be complete, but only to indicate either the 
 more important literature on a topic under discussion, or those 
 places where the correctness of my assignment of certain specific 
 positions to certain writers may be confirmed. 
 
 Princeton, 
 October 10, 1917.
 
 CONTENTS 
 
 PART I 
 
 PAQE 
 
 Introduction xv 
 
 SECTION I 
 THE PROBLEM OF THE POINT OF VIEW 
 
 CHAPTER 
 
 I Postulates and Assumptions 3 
 
 II Realism and Logic 12 
 
 III The Old and the New Logic 25 
 
 I Introductory 25 
 
 II The Origins of the Traditional Logic ... 29 
 ni The Formulation and the Criticism of the Tradi- 
 tional Logic 35 
 
 SECTION II 
 THE HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 IV Introductory 44 
 
 V The Ontological Problem 51 
 
 VI The Cosmological Problem 64 
 
 VII The Teleological Problem ....... 57 
 
 VIII The Theological Problem 62 
 
 IX The Problem of Values 66 
 
 X The Epistemological Problem 71 
 
 XI The Psychological Problem and the Nature op Con- 
 sciousness .88 
 
 SECTION III 
 METHODS AND PROBLEMS OF METHOD 
 
 I THINKING 
 
 XII Reasoning by Words and the Psychology of Thinking 95 
 
 I Introductory 95 
 
 n The Thinking Situation 95 
 
 m The Psychology of Thinking; Symbols ... 96 
 
 IV Grammar 99
 
 X CONTENTS 
 
 CHAPTEB PAGE 
 
 XIII The Logical Aspects of Thinking: Interpretations 
 
 OF the Nature of Logic 99 
 
 I The Realistic View of Logic 100 
 
 II The " Psychologizing " Tendency .... 105 
 
 III The Pragmatic Tendency 109 
 
 II the traditional technical methods of reasoning 
 
 XIV The Categorical Syllogism Ill 
 
 XV The Truth of Premises 119 
 
 I The Regress of Premises 119 
 
 II Common Sense and the Social Tradition . . . 120 
 
 HI Induction 121 
 
 rv How Facts Are Given 122 
 
 1 Sense Experience 123 
 
 2 Intuition, Feeling, and Emotion . . . 124 
 
 3 Memory 126 
 
 4 Imagination 126 
 
 5 Self-Evidence 129 
 
 6 The Inconceivability of the Opposite . , 130 
 
 7 Presupposition by Denial 132 
 
 XVI The Nature of Contradiction 136 
 
 XVII The Disjunctive Syllogism 141 
 
 XVIII The Hypothetical Syllogism 144 
 
 XIX The Dilemma 148 
 
 XX Analogy 152 
 
 III analysis and the new logic 
 
 XXI Further Implicative Situations and New Methods 
 
 of Establishing Premises 155 
 
 XXII Analysis 158 
 
 XXIII Analysis by Incorrect Principles 160 
 
 XXIV Misinterpretations of Correct Analysis . . . 170 
 XXV The Methods of the New Logic: Summary . . . 173 
 
 IV theories of relations 
 
 XXVI The Theories of External and Internal Relations 176 
 I The Formulation of the Theories .... 176 
 II The Proofs or Arguments for the Theories of Re- 
 lations 178 
 
 1 The Theory of External Relations . .178 
 
 2 The " Modification " Theory of Relations . 182 
 
 3 The Underlying or Transcendent Reality 
 
 Theory of Relations: Criticism of the Argu- 
 ment 185
 
 CONTENTS 
 
 XI 
 
 CHAPTER 
 XXVII 
 
 PAGE 
 
 Types of Relations, of Wholes, and of Unities . . 190 
 
 I Types of Relations 190 
 
 II Types of Wholes 292 
 
 ni Types of Unity 197 
 
 IV Theories of Relations and Types of Logic . . 198 
 
 V Material Principles of Proof 200 
 
 PART II 
 
 SECTION I 
 INTRODUCTORY 
 
 XXVIII The Problem about Problems 203 
 
 I The Epistemological Problem 203 
 
 II The Value-Centric Predicament 206 
 
 ni The Solution of the Ego-Centric Predicament , . 208 
 
 SECTION II 
 
 CAUSATION PHILOSOPHIES 
 
 XXIX Phenomenalism 216 
 
 I The Logical Derivation of Phenomenalism . . 216 
 
 II Phenomenalism's Solution of Problems . . . 224 
 
 in Criticism of Phenomenalism 230 
 
 XXX Subjective Idealism 233 
 
 I Logical Derivation 233 
 
 n Subjectivism's Solution of Problems: Criticism . 237 
 
 XXXI Positivism 041 
 
 I Derivation 241 
 
 II Criticism 251 
 
 XXXII Naturalism 257 
 
 I Detailed Naturalism 259 
 
 II Materialism, Psychism and Dualism: Materialism 262 
 m Universal Dualism or Parallelism . . . .264 
 
 IV Psychism : Criticism of Naturalistic Theories . . 268 
 
 XXXIII Pragmatism 273 
 
 I Pragmatism's Anti-Substance Doctrine . . . 273 
 
 n Pragmatism's Anti-Intellectualism .... 274 
 
 m Pragmatism's Evolutionism 283 
 
 1 Criticism: Truth and Falsity for Pragmatism 288 
 
 2 The Degrees of Pragmatism's Evolutionism . 295 
 IV General Criticism of Pragmatism .... 299 
 
 V Conclusion 3q1
 
 xii 
 
 CONTENTS 
 
 SECTION III 
 SUBSTANCE PHILOSOPHIES: OBJECTIVE IDEALISM 
 
 CHAPTER PAGE 
 
 XXXIV INTEODUCTORT 308 
 
 I Objective, Subjective, and Platonic Idealism . . 308 
 II The Historical Development of Objective Idealism 
 
 out of Phenomenalism 311 
 
 XXXV The Logical Derivation of Objective Idealism: Criti- 
 cism 317 
 
 XXXVI Developments of Objective Idealism .... 328 
 
 I Theism and Pantheism 328 
 
 II Panlogism and Ethical Idealism .... 329 
 XXXVII Further Developments of Objective Idealism . . 335 
 
 I Voluntarism 335 
 
 II Vitalistic and Romantic Idealism .... 342 
 
 XXXVIII Conclusion 345 
 
 I Monism's Solution of Philosophical Problems: 
 
 Criticism 345 
 
 II What can the Absolute One be? . . . . 354 
 
 SECTION IV 
 
 REALISM: FUNCTION PHILOSOPHIES 
 
 I the central doctrine of realism 
 
 XXXIX The Solution of the Eqo-Centric and Value-Centric 
 
 Predicaments . 364 
 
 XL Realism's Hypotheses 372 
 
 I Knowing and Known Object may be Qualitatively 
 
 Different 373 
 
 II Illusory Objects are Objective 374 
 
 in 1 Objects may be Genuinely Known . . . 378 
 
 2 They may Become Known and Cease to be 
 
 Known 378 
 
 3 Not All Objects are Known . . . .378 
 IV Other Instances of External Relations. The Free- 
 dom of Reason 382 
 
 V Philosophical Problems not Generated by their 
 
 History 396 
 
 VI Truth an External and Non-causal Relation . . 396 
 
 VII Analysis does not Alter the " Thing " Analyzed 396 
 Vin Individualism and Skepticism are Logically False 
 
 Positions 402 
 
 jx Analysis reveals Facts, and Mysticism is False . 402
 
 CONTENTS l^iij 
 
 C5APTEE PAGE 
 
 XLI The Principles of Realism 408 
 
 I There are Propositions , 409 
 
 II There are Terms aud Relations .... 409 
 
 ni There is the Relation of Implication . . . 412 
 
 IV There is the Relation of Contradiction . . 414 
 
 V There is Consistency 418 
 
 VI There is a System of Propositions . . .421 
 VII There are Specific Processes called Knowing, 
 
 and There is Knowledge 423 
 
 VIII There is Truth 423 
 
 IX Truth is Distinct from Certainty .... 424 
 X The Nature of Truth is not the Same as the 
 Outcome of Knowledge, i.e., of its Successful 
 
 and Satisfactory Working 425 
 
 XI Truth is Independent of its Proof and Tests . 426 
 
 XII Analysis is Possible 426 
 
 xni Reason is Free to Follow the Implicative Struc- 
 ture of Reality 427 
 
 XIV An Analysis of the Knowing Situation is Pos- 
 sible 427 
 
 XV Truth is not a Completely Implicative System of 
 
 Truths 427 
 
 XVI There is a System of Ideal Truth .... 428 
 XVII Knowing and Known Object may be Both Quali- 
 tatively and Numerically Distinct . . . 428 
 XVIII Particular Existent Entities are not the Only 
 
 Objects that can be Known .... 429 
 XIX There are Two Types of Knowing, namely, (a) 
 
 by Specification, (b) by Type .... 429 
 
 XX " Unknown " is not the Same as " Unknowable " 429 
 
 XXI Error is a Fact that can be Explained . . 429 
 XXII There are Certain Entities that are Related by 
 
 Logical Priority 429 
 
 xxin Relations are Themselves not Causally Related 429 
 
 n CONSTRUCTIVE AND DETAILED REALISM 
 
 XLII The Ontological Problem as Solved by Realism . . 430 
 
 I Introductory 430 
 
 n Realism's Solution of the Ontological Problem 432 
 
 XLIII Realism's Solution of the Cosmological Problem . 437 
 I Normal Objects, ii Error, and ill The Nature 
 
 of Consciousness 437 
 
 IV Complex Entities; v Creative Synthesis; vi 
 
 Freedom 444 
 
 VII and VIII Space and Time as Part of the Cosmos : 
 
 Infinity and Continuity 451
 
 XIV 
 
 CONTENTS 
 
 OHAPTEB PAGE 
 
 IX Number 455 
 
 X Motion, Qualitative Change, and Evolution . 464 
 
 XI Consciousness as a Dimension and a Variable . 470 
 
 XLIV Epistemoloqy and Psychology as Pabt of Cosmoloqy 486 
 
 XLV The Realistic Doctrine of Values 496 
 
 ^LVI Realism's Teleology and Theology 607
 
 INTRODUCTION 
 
 The reader familiar with philosophical literature will find in 
 this book a not inconsiderable departure from the usual presenta- 
 tion and treatment of the problems, methods, and systems of 
 philosophy. Such a departure, however, has been deliberately 
 adopted by the author, not out of any mere desire to be ex- 
 ceptional, but because of a philosophical and scientific point of 
 view of the correctness of which he is deeply convinced. Some 
 of the most notable features of this point of view and of the 
 departure that proceeds from it are, briefly, as follows: — 
 
 I. Genuine philosophical problems are regarded as being 
 independent of their historical origin, setting, and develop- 
 ment. This, of course, does not imply that these problems and 
 the systems of philosophy which are sets of solutions of them, 
 have not had a history. But, if the problems are real, and not 
 false, it means that, while the consciousness of the problems 
 has had a history, the problems themselves are not necessarily 
 historical in character, nor conditioned by the development of 
 the consciousness of them. Not all problems can be admitted 
 to be historical or genetic, since, if history itself presents real 
 problems, there may be other problems of fact that, as such, are 
 not conditioned by their history and development. 
 
 II. Each of the several great systems of philosophy is re- 
 garded as a set of solutions (of philosophical problems) that are 
 obtained by the use of certain methods and presuppositions 
 which are in most cases otily assumed, either tacitly or explicitly, 
 but not established and proved. These methods and presup- 
 positions, moreover, have been regarded and employed in the 
 past as absolute and self-evident, chiefly because of the influence 
 of tradition on individual philosophers. They now, however, 
 can be restated in a purely logical and disinterested manner, 
 and subjected to examination and criticism by a method quite 
 analogous to that strictlj^ scientific procedure which has recently
 
 xvl INTRODUCTION 
 
 been adopted in the examination of the several geometrical sys- 
 tems, namely, the Euclidean, Lobatchewskian, and Riemannian, 
 not, of course, in reference to their history, but to their self- 
 consistency, their basic postulates or so-called axioms, and their 
 logical structure. 
 
 III. The position is taken and developed at length, that most 
 great philosophical systems have been worked out under the 
 domination of a logic and of certain philosophical concepts that 
 have come down in the tradition whicli emanated from Aris- 
 totle. This tradition is one that uecognizes chiefly only a lim- 
 ited number of relations between rentities, such as the relations 
 of similarity and difference, as well as a limited number of 
 philosophical concepts, such as cause and substance, so that it 
 is limited as an organon, or method. 
 
 IV. Historical study reveals the domination of this Aris- 
 totelian tradition in its several phases, but does not so readily 
 disclose its origin. However, this difficulty is to be expected 
 if the character of the tradition is due to the unconscious influ- 
 ence of certain entities on its initiators. But that hypothesis 
 which accounts both for the specific character of the logic and 
 for the concepts ivhich have dominated most traditional phil- 
 osophical thinking is, that the physical thing, conceived as 
 identical ivith a substratum in which qualities inhere, occupied 
 the attention of the great philosophical pioneers more than did 
 relations and events. This being the case, one should expect 
 a logic of a specific kind, namely, a logic that is modeled after 
 the most patent relations among physical things, and these 
 are: — (1) independence of order, or mere additiveness, along 
 with (2) resemblance and (3) difference, by virtue of which 
 there are classes, and (4) the inclusion of one class in another, 
 either completely, or partially-, or negatively. Furthermore, one 
 should expect philosophies that are based either on the view 
 that all entities are (5) in causal interaction with one another, 
 or on the view that entitii^ are (6) substances or substrata in 
 which attributes (7) inhere, or, (8) in some cases, on both 
 views combined. } 
 
 These expectations a e fully confirmed by the character of 
 the greater part of pft.losophical development, in which there 
 have appeared a seri28 both of causation-philosophies and of
 
 INTRODUCTION xvii 
 
 substance-philosophies, though with neither of these fully ex- 
 cluding the other in any one instance. We may therefore say, 
 if a homely, but most expressive term may be coined, that 
 philosophy has largely been "thingized" throughout its entire 
 history. 
 
 V. At the same time that philosophy has been, throughout 
 most of its history, under the domination of the Aristotelian 
 tradition, an independ'^it development has been taking place 
 in science, especially for the last four hundred years. In this 
 development a logic has Ix-^n used that is radically different 
 from the logic of the traditic i, while the concepts of "relation" 
 and of "event" or "happening" have played the dominant 
 role as philosophical principles of thinking, rather than the 
 concepts of substance and cause. This "new" logic and these 
 principles have only recently come to full consciousness and 
 received careful and accurate formulation. The logic is not 
 limited to the logic of classes and, therefore, to such relations 
 as similarity and inclusion, but is essentially the "science of 
 order" — a principle which, as identical with the non-additive 
 relationship of parts to form a whole, allows of the appearance 
 and subsistence in the whole of qualities that are lacking to the 
 parts. It fully recognizes also (1) the functional relation- 
 ship as opposed to the causal, and (2) those asymmetrical and 
 transitive relations that are present in series, such as the series 
 of positive integers in order of magnitude. A pivotal point, also, 
 in this new logic is the discovery (3) of the complete com- 
 patihility of relatedness and independence, as instanced in a 
 number of respects in the functional relation. 
 
 VI. From the point of view and by the method which this 
 new and non-Aristotelian logic furnishes, a number of im- 
 portant philosophical positions ai i found both to be logically- 
 justified and to receive empirical confirmation. 
 
 One of the most important of these positions is, that the 
 relationship between knowing and T -t which is known, what- 
 ever that object may be, is but anothe ■ instance of entities that 
 are related and yet independent, whic^i means, of course, that 
 knowing does not create nor even affect that which is (to be) 
 known, in contradistinction from the ri lit which is obtained 
 if the problem of knowing is "solved" by the Aristotelian logic
 
 xvi'ii INTRODUCTION 
 
 and by the principles of cause and substance. This episte- 
 mological position is both Rationalism and Realism. 
 
 Another position or result is, that the entities which can be 
 known {in this way) are not limited to those of the physical 
 and mental "worlds," but include, as well, universals and such 
 ideals as perfect justice, which, though they may never "exist," 
 are nevertheless facts. 
 
 It is also found that recent attacks on intellectual analysis 
 are really baseless because arbitrarily and unjustifiably they 
 limit intellect to the use of a logic and of methods that are 
 Aristotelian, and so seem to be able to demonstrate its failure; 
 whereas, if in place of this traditional logic and method, the 
 principles of the new logic be granted to intellect, it can be 
 shown as inevitably to succeed.
 
 PART I 
 PROBLEMS AND METHODS
 
 SECTION I 
 
 THE PROBLEM OF THE POINT OF VIEW 
 
 CHAPTER I 
 
 POSTULATES AND ASSUMPTIONS 
 
 In presenting an examination and analysis of the several great 
 philosophical systems, not historically, but according to their 
 success or failure in the solution of philosophical problems, and 
 their logical dependence upon one or another set of initial 
 assumptions, the writer has no intention to minimize the interest 
 and importance of that study of philosophy which concerns its 
 development. The literature of philosophy, however, is already 
 full of both books and articles that are historical. There is 
 opportunity, then, for a volume which has resulted from the 
 conviction that, although philosophical problems and their mani- 
 fold solutions have both had a history, nevertheless these prob- 
 lems are not in every instance generated by their history, any 
 more than are the problems of the science of history itself. 
 
 This statement requires, perhaps, some elucidation, since the 
 term history is somewhat ambiguous. It may be used to desig- 
 nate the actual development, throughout one time period or 
 another, of human thought, ideas, and institutions, or of the 
 structure and functions of living organisms, or the evolution 
 of chemical elements, or planets and suns. For the modem 
 view is that all these evolve and have a history. The term may 
 also be used to mean the scientific, or at least the systematic 
 study of this development and evolution in any specific instance. 
 Sometimes, however, the term is so employed that it seems to 
 have both meanings at once, whereupon confusion arises. In 
 this volume, however, it is the first meaning that concerns us 
 most. Therefore, unless otherwise indicated, the term will be 
 
 3
 
 4 THE PROBLEM OF THE POINT OF VIEW 
 
 used to identify history with development and evolution. When 
 used in the second sense we shall refer specifically to history 
 as a science. 
 
 With these distinctions made, the statement is clear, that 
 history as a science has itself had a history or development. 
 When this specific development is studied, as it is, e.g., in 
 investigating the progress in historical methods and canons, we 
 have the history of history. We may conclude, then, that history 
 as development, history as a science, and the history of history 
 itself are three different "things," and that the distinction 
 between them is essential. 
 
 It is important next to note that history as a science does 
 not generate its own problems — at least, not all of them. The 
 most it can do is to focus the attention of historians upon one 
 kind of problem rather than upon another, as, e.g., upon that 
 branch of history which concerns itself with the rule of kings 
 rather than with the aspirations and deeds of the people ruled. 
 As a science history is selective, not generative of its own prob- 
 lems, unless these problems be false ones, — which is not beyond 
 the range of possibilities. 
 
 That history as a science must always be rewritten from the 
 point of view of the present, is a dictum both frequently re- 
 peated and widely accepted. But the reinvestigation of that 
 which is past fails of its purpose, unless there are 7iew methods 
 and points of view which themselves reveal facts and truths 
 that are not historical. Indeed it may be that it is only by 
 such truths and facts, and by such methods and points of view, 
 now to be regarded as correct, that the real character of the 
 past, oftentimes in its falsity of hypothesis and of problem, can 
 ever become known. 
 
 In other fields, e.g., in biology, the situation is quite similar. 
 There has been a development of biological science, and there 
 is a history of this development ; but biology as a science is little 
 concerned with the study of this specific development, and is 
 certainly not identical with the history of itself. 
 
 A similar condition holds of many other sciences, such as 
 logic, mathematics, mechanics, physics, chemistry, and astron- 
 omy. Indeed one can say of these sciences that they themselves 
 would not have had a development and a history, had there not
 
 POSTULATES AND ASSUMPTIONS 5 
 
 been problems which are themselves not developmental or his- 
 torical. 
 
 Philosophy presents no exception to these principles. It is 
 admittedly a fact of compelling interest and importance that 
 there has been a long and extensive development of human 
 thought and knowledge, especially among European peoples, 
 which because of its character and influence is called philo- 
 sophical. For philosophy means love of knowledge. It is to 
 be admitted, too, that this great ''stream of thought" has 
 touched, or included in itself, to some degree at least, perhaps 
 every phase of human activity, more especially religion, science, 
 art, and politics. But the great vis a tergo in the onward sweep 
 of its currents has been the conviction that there are problems 
 of fact which have not been conditioned by their own develop- 
 ment. Indeed, the consciousness that there are problems of 
 development has itself been almost entirely absent throughout 
 the greater part of history, as is witnessed by the comparatively 
 recent origin of history, and especially evolution as sciences. 
 
 It is the writer's intention, therefore, to present in this non- 
 historical way the several great philosophical systems of the 
 past in respect to their problems, their methods and their solu- 
 tions of problems (whether these be true or false), and thus to 
 review the comparative anatomy and morphology, as it were, 
 of these systems, not as they have grown up in a maze of 
 surroundings and of antecedent historical causes, but as each 
 may be regarded today as a set of possibly genuine solutions 
 of problems. As systems that have this character, they are 
 open to examination and analysis as to their logical structure, 
 their presuppositions, their self-consistency, their implications, 
 and their agreement with facts, quite as much as they are in 
 respect to their historical setting. And an investigation of this 
 character also serves the purpose of presenting to the reader, 
 whether he has a knowledge of the history of philosophy or 
 not, the various systems of philosophy as they may solve or fail 
 to solve problems that concern facts. 
 
 Such a program, moreover, is not different from that of the 
 scientist, e.g., of the student of geometry, who elucidates the 
 older geometries in the light of present geometrical science, and 
 who examines and develops in a purely logical manner the
 
 THE PROBLEM OF THE POINT OF VIEW 
 
 possible geometrical systems, of which it is now well known 
 there are several. 
 
 Indeed, the character and purpose of this volume may be 
 further made clear by the statement, that the writer has long 
 been convinced of the close resemblance between the situations 
 in geometrical science a7id in philosophy. This resemblance, 
 while it is important, is, however, not complete. The several 
 geometries, e.g., the Euclidian, the Lobatchewskian, and the 
 Eiemannian, are each self-consistent and free from internal 
 contradiction,^ This, however, cannot be said of the several 
 philosophical systems, some of which are very evidently self- 
 contradictory and self-refuting at critical points. Of this, 
 Phenomenalism is a good example in its denial, on the one hand, 
 of the possibility of knowing "things-in-themselves" {i.e., 
 things as they really are), and in its assertion, on the other 
 hand, that this is the real "state of affairs" concerning know- 
 ing.^ But geometrical and philosophical systems both seem to 
 agree in this, that there issues from them that which is put into 
 them by way of initial postidation or assumption, be this taciti 
 or explicit. In geometry it is usually explicit or conscious, 
 while in philosophy it is, more frequently than not, almost 
 entirely tacit or unconscious. The study of the psychological 
 influences on the philosopher, both past and present, demon- 
 strates this quite convincingly. 
 
 The procedure of explicit postulation is commonly recognized 
 to be the correct one in geometrical science today, though the 
 history of geometry shows that it has not always been so. For 
 not until Bolyai, in 1832, and Lobatchewsky, in 1835, inde- 
 pendently found it possible to develop a consistent system of 
 geometry by denying the Euclidean axiom of parallels, was 
 there known a non-Euclidean system. This denial was made by 
 postulating what amounted to the proposition, that through a 
 given point not on a given line there are an infinite number of 
 lines parallel to this given line. The non-Euclidean system that 
 results is self-consistent and quite as applicable to our space as 
 the traditional Euclidean geometry, as far as empirical measure- 
 ment can determine. 
 
 ' See the bibliography at the end of this chapter. 
 "See Chap. XXIX.
 
 POSTULATES AND ASSUMPTIONS 7 
 
 Today, however, still other geometrical systems are known, 
 of which the same assertion can also be made as regards their 
 internal consistency and their application to the space in which 
 we measure angles, distances, and the like. Among these sys- 
 tems there is the Riemannian, which is based on the postulate, 
 among others, that through a given point not on a given line 
 no lines pass that are parallel to this line. 
 
 Each of these geometries is a consistent body of propositions 
 that are implied or generated by the original propositions which, 
 as not derived from other propositions still "further back," 
 are freely postulated or assumed. The process of discovering 
 or deriving these later propositions chat are implied by these 
 initial ones is deduction. This process, so far as it is correct, 
 follows, as it were, the thread-like network of implications that 
 already subsist or are facts. Each system is said to apply to 
 a manifold of such entities, whether these be points, lines, sur- 
 faces, or spheres, or something else, as can be "exhibited" to 
 be in "consistent standing" with the propositions asserted about 
 them. Thus a line, or a space of one dimension is found to 
 be the field of entities, called "points," that are related in a 
 very definite and specific manner, namely, by an asymmetrical 
 and transitive relation.^ But emphasis is placed upon the rela- 
 tions rather than upon the specific character of the entities 
 that are related. In this way the necessity of making a defini- 
 tion, e.g., of a point, is avoided, other than to assert that, e.g., 
 a point is such an entity as is "consistent with what is said 
 about it." The test of the consistency of a system of initial 
 postulates and implied propositions is the "exhibition" of a 
 class of entities of which the system holds. 
 
 It is to be emphasized, however, that the geometer discovers 
 a certain freedom to postulate * one set of initial propositions 
 (axioms?) or another, so that, by taking advantage of this 
 freedom, the several extant systems of geometry are developed. 
 But it is further discovered that, although the Euclidean geom- 
 etry historically preceded the other systems, nevertheless all 
 the geometries are open to an examination and criticism 
 
 • See Chap. XXVII. 
 
 *Cf. articles by H. C. Brown and Karl Schmidt in the general bibli- 
 ography at the end of the chapter.
 
 8 THE PROBLEM OF THE POINT OF VIEW 
 
 that is quite independent of the temporal order of their 
 appearance. 
 
 The writer of this book is convinced that a situation very 
 similar to that which exists among the various geometries is 
 to be found among the several great philosophical systems, not- 
 withstanding certain obvious points of difference. In phi- 
 losophy, as in geometry, there are fundamental divergences 
 between the respective sets of propositions which constitute the 
 different systems, and also between the respective manifolds of 
 entities to which these propositions apply. Also, these differ- 
 ences result from initial postulates. However, unlike the results 
 in geometry, in philosophy not all systems are found by em- 
 pirical tests to apply equally well to the universe. Further, 
 not all systems are self-consistent and free from self-contradic- 
 tion, and finally, the right or the freedom to postulate is not 
 recognized. Rather, in philosophy the making of postulates that 
 condition the remaining whole structure of a system, is found, 
 in many instances to have been determined either by the emo- 
 tional disposition of the individual philosopher, or, very fre- 
 quently, by tradition, or by both together. Because of either 
 of these two influences, or of both combined, fundamental philo- 
 sophical assumptions are made unconsciously, or uncritically, 
 and quite tacitly, and oftentimes with the support of the con- 
 viction that they are necessarily true, either because they are 
 self-evident, or because their opposite is inconceivahle, or both.^ 
 However, tests or evidence of this kind are found, on the one 
 hand, to be generated by the influence of tradition and author- 
 ity, and, on the other hand, — which is not surprising — to be 
 thoroughly unreliable as criteria of that which they are held to 
 reveal, namely, absolute truth. That which is self-evident or 
 inconceivable to one person, or to one generation, is not to 
 another; and it is certainly not self-evident, that that which is 
 self-evident, or whose opposite is inconceivable, must be true, 
 and could not be false. That it might be false, is itself not 
 inconceivable. 
 
 But to become thus aware that it has been, not the unbiased 
 investigation of facts, but rather the influence of tradition and 
 authority that has led many of the great philosophers to develop 
 
 ° Cf. the examination of these tests in Chap. XV.
 
 POSTULATES AND ASSUMPTIONS 9 
 
 their specific systems, is itself one of the first steps in freeing 
 oneself from this very influence, and in establishing a firm 
 foundation for further examination and criticism. On this 
 basis one not only can discover that there have been great 
 historical tendencies or postulates in philosophy, but also can 
 critically restate these postulates, much as this is done in 
 geometry, i.e., both the postulates themselves and the philo- 
 sophical systems that result from them can be restated logically 
 and quite apart from their historical setting, and both postulates 
 and systems can be examined for their self -consistency and com- 
 pared with one another. 
 
 As a result it is found, not only that not all systems are 
 self-consistent, but that some of them, and indeed perhaps all 
 of them, presuppose one system. This system, since it is 0710 
 among systems, must, then, presuppose itself, and in this respect 
 be self -consistent. 
 
 This self-consistent and basic system, in the form in which it 
 appears to the writer in respect to both its fundamental princi- 
 ples and its detailed structure, is philosophical Kealism, the 
 exposition and defense of which is here conducted by examining 
 other, opposed systems as to their logical structure of primary 
 postulates and derivative propositions, and not in their his- 
 torical setting and development. 
 
 The opposed systems, of which this system is critical, and 
 which are found to presuppose it, and, possibly, also to be self- 
 contradictory, are classified, contrary to the usual more elaborate 
 classifications, as fundamentally only two, and even these two 
 can be shown to arise from a common source and tradition. 
 These two systems are a causation-philosophy, represented by 
 Phenomenalism, and a "substance" and monistic philosophy, 
 which usually takes the form of Objective Idealism. The 
 common source is the Aristotelian tradition, with its logic of 
 classes, and its dominant concepts of cause and substance. 
 
 Other systems of philosophy, as they are usually classified, 
 e.g., as Subjective Idealism, Positivism, Naturalism, and Prag- 
 matism, and as Voluntarism, Pan-logism,® and the like, are but 
 
 • See Wm. James, The Problems of Philosophy, for the types of phil- 
 osophical systems; also L. Stein, Philosophische Stromungen der Gegen- 
 tcart.
 
 10 THE PROBLEM OF THE POINT OF VIEW 
 
 specific modifications of these two more fundamental phi- 
 losophies. 
 
 These more specific systems thus fall together under two 
 great heads because each is a product of one or the other of 
 two great tendencies, which, on the one hand, have produced 
 a rather definite historical succession of systems, and, on the 
 other hand, are each identical logically with the tacit presup- 
 position of a very definite set of metaphysical presuppositions. 
 Thus, Subjective Idealism, Positivism, Naturalism, and Prag- 
 matism (Naturalism up-to-date) present an historical sequence 
 of systems which have resulted from the metaphysical assump- 
 tion that all things causally affect one another^ On the other 
 hand, the monistic systems of such philosophers as Spinoza, 
 Fichte, Schelling, Hegel, Bradley and others have resulted from 
 the assumption that a numerically single, suh stance-like, under- 
 lying entity is necessary in order to mediate the relationships^ 
 which are universal among all "things." ^ In the last analysis, 
 however, even these two basic logical and metaphysical doctrines 
 are traceable to a common source, namely, the Aristotelian phi- 
 losophy and logic, especially as each of these has come down in 
 the tradition. It is because of the influence of this tradition, 
 not only that these metaphysical principles have been postulated 
 unconsciously and uncritically, but that they have been in many 
 instances accepted as self-evident and their opposite regarded 
 as inconceivable. The metaphysics of cause and substratum 
 (substance) and the logic of classes, since these together form 
 the core of the Aristotelian tradition, constitute, then, that 
 philosophy from which later systems have diverged as branch- 
 ing genera and species from an ancestral tree.^ 
 
 The Realism which is accepted, defended, and explained in 
 this book is one that is based on logical and metaphysical doc- 
 trines that are directly opposed to the logic and metaphysics 
 of the Aristotelian tradition. The logic is one that has long 
 been used in the development of modern science, but that has 
 only recently been formulated as the logic of series, or as the 
 
 ^ See Chap. XXVI. on the modification theory of relations, and Chaps. 
 XXIX.-XXXIII. on the systems that are developed from this. 
 
 " See Chap. XXVI. on the underlying-reality theory of relations, and 
 Chaps. XXXIV.-XXXVIII. on the systems that are developed from this. 
 
 " Bee Chap. III. for the expansion of this hypothesis.
 
 POSTULATES AND ASSUMPTIONS n 
 
 science of order, and that can be designated broadly as non- 
 Aristotelian.^o The metaphysics is one that denies the uni- 
 versality of causation and of substance, and that emphasizes 
 relations. On this basis it is found that the knowing situation 
 is of such a character that the knowing process neither causally 
 affects, modifies, or creates that which is known, nor demands 
 an underlying entity to mediate the relationship between know- 
 ing and its object. For this reason the position is called Realism. 
 It is that position which results from discovering such empirical 
 evidence, including non-Aristotelian logical principles, as allows 
 for a knowledge of all entities in their genuine character. One 
 of these entities is that very ''state of affairs" which the position 
 itself asserts to be true concerning the knowing situation. Cer- 
 tain other systems are not thus self -consistent. 
 
 This Realism is, however, not one that limits the realm of 
 entities that are knowable in their true character to the objects 
 and relations of the physical universe, and to conscious proc- 
 esses. Bather, it is a Realism which insists also on the factuality 
 and knowableness of entities that are neither physical nor 
 mental, nor "individual" in the usual sense of this term as 
 meaning spatially and temporally particularized. All such 
 entities may be called " subsistents" to distinguish them from 
 the temporally and perhaps also spatially particularized ex- 
 istents. They include what are frequently called " universals, " 
 and also "ideals" such as justice, and still other entities, such 
 as numbers, and the ideal systems of mechanics. This Realism 
 is one which holds that the realm of such subsistents, as entities 
 that are both knowaUe and yet independent of being known, 
 is even more varied and extensive than the realm of existential 
 entities." Indeed, as an important demonstration in the closing 
 chapters of this book, it is shown that such worths and values, 
 typified by justice and beauty, although they are ideals which 
 are never completely attained, are, nevertheless, realities, 
 
 BIBLIOGRAPHY 
 Concerning the actual development of non-Euclidean svBtems, aa well 
 aa the use of the method of postulation in other fields, see H. C. Brown in 
 li^asays Philosophical and Psychological in Honor of William James, 1908. 
 
 "Bee Char'xSv'^^^" ^^^^' '' ^°^ "' ^' ^°^ ^^^P' ^^"-
 
 12 THE PROBLEM OF THE POINT OF VIEW 
 
 pp. 425-459, and Karl Schmidt, Studies in the Structure of Systems, 4, 
 " The Generating I'roblem," Jour, of Phil., Psych, and Scientific Methods, 
 Vol. X., pp. 64-75, especially p. 73 on the freedom to postulate, etc.; also 
 " Critique of Cognition and its Principles," Jour, of Phil., Psych, and 
 Scientific Methods, Vol. VI., p. 281 ff. 
 
 Concerning (1) the method of postulation in geometry, or (2) the 
 actual systems that result, see J. Bolyai, The Science Absolute of Space, 
 trans, by G. G. Halsted, 1896; original edition in Latin, Editio Nova, 
 by the Hungarian Academy of Science, Teubner, 1903; K. Bonola, Non- 
 Euclidean Geometry, trans, by H. S. Carslaw, 1912; B. Erdmann, Die 
 Axiome der Geometric; D. Hilbert, Foundations of Geometry, trans, by 
 E. J. Townsend; E. Husserl, Logische Untersuchungen; E. V. Huntington, 
 Sets of Independent Postulates for the Algebra of Logic, trans, of the 
 American Math. Society, 1904, Vol. V.; Wm. James, A Pluralistic Uni- 
 verse, Lecture I.; Lobatschewsky, Geometrical Researches on the Theory 
 of Parallels, trans, by G. B. Halsted; R. H. Nunn, Aims and Achievements 
 of Scientific Method, Chap. V.; H. Poincare, Science and Hypothesis, 1905, 
 Chap. Ill, on Non-Euclidean Geometries; B. Russell, Foundations^ of 
 Geometry, 1897, and Principles of Mathematics, 1903; B. Riemann, f/fter 
 die Uypothesen welche die Geometric zu Grunde liegen, 1868, Abh. Ges. 
 Gottingen, 1868; also in Gesam. Werke, 1892; F. C. S. Schiller, Axioms 
 as Postulates, in Personal Idealism; O. Veblen, A System of Axioms for 
 Geometry, trans. Am. Math. Soc, 1904, Vol. V.; J. W. Withers, Euclid's 
 Parallel Postulate, 1908; F. S. Woods, Non-Euclidean Geometry, in 
 Monographs on Topics of Modern Mathematics, ed. by J. W. A. Young, 
 1911; A. N. Whitehead and B. Russell, Principia Mathematica, 3 vole.. 
 Vol. I., Introduction; A. N. Whitehead, Axioms of Projective Geometry, 
 1906, and Axioms of Descriptive Geometry, 1907; J. W. Young, Ftmda- 
 mental Concepts of Algebra and Geometry, 1911. 
 
 CHAPTER II 
 REALISM AND LOGIC ^ 
 
 That ultimately a realistic position is taken in philosophy, 
 even when one attempts the opposite,' and that this Realism is 
 not limited to the acceptance alone of an existential world of 
 physical and mental entities, has been, in the author's opinion, 
 exceedingly well shown by Professor Josiah Royce in his Essay, 
 "The Principles of Logic," in the volume entitled. The En- 
 cyclopedia of the Philosophical Sciences, Logic, 1913. Pro- 
 
 * This chapter was originally published under the title of " Realistic As- 
 pects of Royce's Philosophy," in the Philosophical Review, Vol. XXV., 
 No. 3, in the number in honor of Professor Royce. 
 
 ' Uf. the criticism, throughout Fart II., of systems opposed to realism.
 
 REALISM AND LOGIC 13 
 
 fessor Royce probably would not have accepted this judgment as 
 to the outcome of his demonstrations, but that the judgment is 
 correct I shall endeavor to show by quoting^ and discussing 
 certain paragraphs of the essay. Professor Royce 's essay will 
 be examined in this way, both because it is a most timely and 
 excellent presentation of recent results in the field of modern 
 logic, and because of what seems to be its bearing on philo- 
 sophical problems and their solution. 
 
 The essay is divided into three sections. The last two, making 
 up its greater part, are (p. 67) "devoted to indicating, very 
 summarily, the nature of a doctrine of which the traditional 
 General or Formal Logic is but a part, and, in fact, a very 
 subordinate part. To this doctrine the name 'The Science of 
 Order' may be given. It is a science which is indeed inci- 
 dentally concerned with the norms of the thinking process. 
 But its character as a normative doctrine is wholly subordinate 
 to other features which make it of the mos*t fundamental im- 
 portance for philosophy. It is today in a very progressive con- 
 dition. It is in some notable respects new. It offers inex- 
 haustible opportunities for future progress.' 
 
 Defining Applied Logic, or Methodology, as that "special 
 and very extended" part of "Logic as a Normative Science" 
 "which deals with the norms of thought in their application to 
 the methods used in various special sciences," Professor Royce 
 says (p. 69) : "Methodology, taken in its usual sense as a study 
 of the norms and methods of thought used in the various arts 
 and sciences, is the mother of Logic taken in the other sense 
 hereafter to be expounded. For the undertakings of Methodo- 
 logy lead to certain special problems, such as Plato and Aristotle 
 already began to study, and such as recent inquiry makes more 
 and more manifold and important." "They are problems 
 regarding, 7iot the methods by which the thinker succeeds, nor 
 yet the norms of correct thinking viewed as norms, but rather 
 the Forms, the Categories, the Types of Order, which characterize 
 any realm of objects which a thinker has actually succeeded in 
 mastering, or can possibly succeed in mastering, by his methods." 
 
 • The meaning of the passages quoted is not altered by removal from 
 their context.
 
 14 THE PROBLEM OF THE POINT OF VIEW 
 
 Discussing some of the solutions of the problems of method 
 as they have occurred in the development of philosophy, he 
 cites (p. 71) the view of Plato, that (1) "The realm of the 
 Universals or 'Ideas' is essentially a System, whose unity and, 
 order are of the first importance for the philosopher; (2) /n- 
 ference is possible because truths have momentous objective Rela- 
 tions, definable precisely in so far as the process of inference is 
 definable; (3) The 'Order and Connection' of our rational proc- 
 esses, when we follow right methods, is a sort of copy of an order 
 and connectio^i which the individual thinker finds, but does not 
 make. One thus sets out to formulate the right method. One 
 discovers, through this very effort, a new realm — a realm of 
 types, of forms, of relations. All these appear to be at least as 
 real as the facts of the physical world. And in Plato's indi- 
 vidual opinion they are far more real than the latter." 
 
 Professor Royce then says (p. 72) : "We are not in the least 
 concerned to estimate in this discussion the correctness or even 
 the historical significance of the Platonic Metaphysic, — a doc- 
 trine thus merely suggested. It is enough to note, however, that 
 even if one sets aside as false or as irrelevant all the principal 
 metaphysical conclusions of Plato, one sees that in any case the 
 Methodology of the logician, even in this early stage of the 
 doctrine, inevitably gives rise to the problem as to the relatively 
 objective order and system of those objects of thought to which 
 the methodologist appeals when he formulates his procedure. 
 The Platonic theory of Ideas, Aristotle's later theory of Forms, 
 the innumerable variations of the Platonic tradition which the 
 subsequent history of thought contains — all these may or may 
 not be of use in formulating a sound metaphysic. But in any 
 case this comes to light : If a logician can indeed formulate any 
 sound method at all, in any generally valid way, he can do so 
 only because certain objects which he considers when he thinks, 
 — be these objects definitions, classes, types, relations, proposi- 
 tions, inferences, numbers, or other 'principles,' — form a more 
 or less orderly system, or group of systems, whose constitution 
 predetermines the methods that he must use when he thinks.* 
 This system, or these systems, and their constitution, are in some 
 sense more or less objective. That is: What constitutes order, 
 
 * Italics mine.
 
 REALISM AND LOGIC 15 
 
 and what makes orderly method possible, is not the product of 
 the thinker's personal and private caprice. Nor can he 'by- 
 taking thought' wilfully alter the most essential facts and rela- 
 tions upon which his methods depend. If any orderly classifica- 
 tion of a general class of objects is possible, then, however sub- 
 jective the choice of one's principles of classification may be, 
 there is something about the general nature of any such order 
 and system of genera and of species, — something which is the 
 same for all thinkers, and which outlasts private caprices and 
 changing selections of objects and of modes of classification." 
 
 And again Professor Royce says to the same point (p. 73), 
 "Order is order. System is system. Amidst all the variations 
 of systems and of orders, certain general types and character- 
 istic relations can be traced. If, then, the methodologist attempts 
 to conduct thinking processes in an orderly way, he inevitably 
 depends upon finding in the objects about which he thinks those 
 features, relations, orderly characters, upon which the very 
 possibility of definite methods depends. Whatever one's meta- 
 physic may be, one must therefore recognize that there is some- 
 thing objective about the order both of our thoughts and of the 
 things concerning which we think; and one must admit that 
 every successful methodologist depends upon grasping and fol- 
 lowing some of the traits of this orderly constitution of a realm 
 that is certainly a realm of facts." 
 
 In all th^se quoted statements Professor Royce seems to 
 accept very directly and unconditionally the objectivity not only 
 of entities that are ideal and general and abstract, but also of 
 those that are logical. Thus he opposes the dominant and tradi- 
 tional view that logic is "subjective," and is, in this sense, the 
 "art of thinking," and that the "laws of thought" are laws of 
 a psychical process.* 
 
 From the quotations given it would appear that all logic, 
 including the traditional, narrow logic of classes and of the 
 syllogism, is objective, and is only one of the several types of 
 order. 
 
 There follows, in Professor Royce 's essay, an exposition of 
 some of the most important features of The New Logic, espe- 
 cially as this includes "Order-types." In these sections such 
 
 « Of. Chap. XUI.
 
 16 THE PROBLEM OF THE POINT OF VIEW ' 
 
 subjects as Relations and their "logical properties," Classes, 
 Series, the Correlation of Series, Functions, and, finally, "The 
 Logical Genesis of the Types of Order," are presented in con- 
 siderable detail, and the following interesting statements, bear- 
 ing upon specific points, are made (p. 97) : "Relations are of 
 such importance as they are for the theory of order, mainly 
 because, in certain cases, they are subject to exact laws which 
 permit of a wide range of deductive inference. To some of 
 these laws attention must be at once directed. They enable us 
 to classify relations according to various logical properties. 
 Upon such properties of relations all deductive science depends. 
 The doctrine of the Norms of deductive reasoning is simply the 
 doctrine of these relational properties when they are viewed as 
 lawful characteristics of relations which can guide us in making 
 inferences, and thus Logic as the 'Normative Science' of the 
 deductive inference is merely an incidental part of the Theory 
 of Order." Thus the implicative relation, the progressive dis- 
 covery or guidance of which is identical with or accompanies 
 our correct reasoning processes, is held to be objective. Rea- 
 soning, as defined in this manner, has its conditions. Did these 
 conditions not subsist, there might still be a "world," and this 
 "world" might be knowable, but we could not reason about it. 
 For, says Professor Royce (p. 107), "Without objects con- 
 ceived as unique individuals, we can have no Classes. Without 
 classes we can, as we have seen, define wo Relations, without 
 relations we can have no Order. But to he reasonable is to con- 
 ceive of order-systems, real or ideal. Therefore, we have an 
 absolute logical need to conceive of individual objects as the 
 elements of our ideal order-systems." 
 
 With all this, excepting only a seemingly implied dependence 
 of the individuality of "individuals" upon their being conceived 
 as such, one can agree. But at this point, as in other places, 
 Professor Royce seems to retract his earlier introductory asser- 
 tions of the objectivity of the logical situation, and to color 
 these now with an idealistic tinge. He introduces the thin edge 
 of a wedge for his idealism even more noticeably, but quite as 
 unnecessarily, in the statement (p. 108), that "Apart from some 
 classifying will, our world contains no classes." One may very 
 well ask. then: How about the class of ivilh that classify? Is
 
 REALISM AND LOGIC 17 
 
 this, as a class of individual wills or ^vill-ads that are related 
 and so ordered in a certain way, itself dependent upon a classi- 
 fying will? And, if not, may not other classes, and the indi- 
 viduals, the relations, and the order, by virtue of which they 
 subsist as classes, be equally independent of a classifying will, 
 although related to it ? 
 
 Professor Royee's "proof" or demonstration that Individual, 
 Relation, and Class are "the Forms," or "Categories" that 
 "characterize any realm of objects which a thinker has actually 
 succeeded in mastering, or can possibly succeed in mastering," 
 is contained in the Section on "The Logical Genesis of the 
 Types of Order." His proof is the familiar one of finding cer- 
 tain propositions that are "presupposed by their own denial." ° 
 But in applying this test or criterion he again seems to pass 
 from the earlier acknowledged objectivity of logical entities to 
 a somewhat surreptitious introduction of an idealism that does 
 away with this. Professor Royce's demonstration and the prin- 
 ciple on the basis of which he makes it can be granted in the 
 specific instance chosen. But one cannot allow either the 
 limitation of the principle to this instance, or the conclusions 
 which he draws from this specific demonstration. Some of the 
 main points of his demonstration are as follows (p. 131) : — 
 
 "(1) To any 'mode of action,' such as 'to sing' or 'singing' 
 (expressed in English either by the infinitive or by the present 
 participle of the verb) there corresponds a mode of action, 
 which is the contradictory of the first, for example 'not to 
 sing' or 'not singing.' Thus, in this realm, to every x there 
 corresponds one, and essentially only one, x." 
 
 "(2) Any pair of modes of action, such for instance as 
 'singing' and 'dancing,' have their 'logical product,' precisely 
 as classes have a product, and their 'logical sum,' again, pre- 
 cisely as the classes possess a sum. Thus the 'mode of action' 
 expressed by the phrase: 'To sing and to dance' is the logical 
 product of the 'modes of action' 'to sing' and 'to dance.' The 
 mode of action expressed by the phrase, 'Either to sing or to 
 dance,* is the logical sum of 'to sing' and 'to dance.' These 
 logical operations of addition and multiplication depend upon 
 triadic relations of modes of action, precisely analogous to the 
 • See Chap. XV., rv,
 
 18 THE PROBLEM OF THE POINT OF VIEW 
 
 triadic relation of classes. So then, to any x and y, in this 
 realm, there correspond xy and x + y." 
 
 "(3) Between any two modes of action a certain dyadic, 
 transitive and not totally non-symmetrical relation may either 
 obtain or not obtain. This relation may be expressed by the 
 verb 'implies.' It has precisely the same relational properties 
 as the relation — -< of one class or proposition to another. 
 Thus the mode of action expressed by the phrase, 'to sing and 
 to dance,' implies the mode of action expressed by the phrase 
 'to sing.' In other words 'singing and dancing' implies 
 'singing.' " 
 
 " (4) There is a mode of action which may be symbolized by 
 a 0. This mode of action may be expressed in language by the 
 phrase, 'to do nothing,' or 'doing nothing.' There is another 
 mode of action which may be symbolized by 1. This is the mode 
 of action expressed in language by the phrase 'to do some- 
 thing,' that is, to act positively in any way whatever which 
 involves 'not doing nothing.' The modes of action and 1 are 
 contradictories each of the other." 
 
 Professor Royce finds further (p. 134) : — 
 
 " (1) That the members, elements, or 'modes of action' which 
 constitute this logically necessary system 2 exist in sets both 
 finite and infinite in number, and both in 'dense' series, in 'con- 
 tinuous' series, and in fact in all possible serial types." 
 
 " (2) That such systems as the whole number series, the series 
 of the rational numbers, the real numbers, etc., consequently 
 enter into the constitution of this system. The arithmetical 
 continuum, for instance, is a part of the system ^." " 
 
 "(3) That this system also includes in its complexities all 
 the types of order which appear to be required by the at present 
 recognized geometrical theories, projective and metrical." 
 
 In conclusion. Professor Royce arrives at a position which, 
 he calls Absolute Pragmatism, and which he holds "differs from 
 that of the pragmatists now most in vogue." He says (p. 121), 
 "There are some truths that are known to us not by virtue of 
 the special successes which this or that hypothesis obtains in 
 particular instances, but by virtue of the fact that there are 
 certain modes of activity, certain laws of the rational world, 
 
 ' Uf. for (1) and (2) Chaps. XXI.-XXV. and XLIII., vu., vni., ix., x.
 
 REALISM AND LOGIC 19 
 
 which we reinstate and verify, through the very act of attempt- 
 ing to presuppose that these modes of activity do not exist, or 
 that these laivs are not valid. Thus, whoever says that there 
 are no classes whatever in his world, inevitably classifies. Who- 
 ever asserts that for him there are no real relations, and that, 
 in particular, the logical relation between affirmation and denial 
 does not exist, so that for him yes means the same as no, — on 
 the one hand himself asserts and denies, and so makes the 
 difference between yes and no, and, on the other hand, asserts 
 the existence of a relational sameness even in denying the dif- 
 ference between yes and no." 
 
 "In brief, whatever actions are such, whatever types of 
 actions are such, whatever residts of activity, whatever con- 
 ceptual constructions are such, that the very act of getting rid 
 of them, or of thinking them away, logically implies their pres- 
 ence, are known to us indeed both empirically and prag- 
 matically; hut they are also absolute. And any account 
 which succeeds in telling what they are has absolute truth J 
 Such truth is a 'construction' or 'creation,' for activity 
 determines its nature. It is 'found' for ive observe it when we 
 act." 
 
 With the general tenor of Professor Royce's essay I am in 
 closest sympathy, and it is only to certain restrictions and con- 
 clusions that exception must be taken. One can accept even 
 the specific instance which the application of "proof by denial" 
 furnishes, namely, that the "modes of action," "to assert" and 
 "to deny," are themselves instances which conform to and pre- 
 suppose the logic of classes, of relatio7is, of logical products, 
 and of series. However, this is not proof for the idealistically 
 tinged conclusion, that this logic is in some way created by 
 "will," e.g., by the "will to assert" and "to deny," or that 
 individuals, classes, relations, order, and the like are in some 
 way dependent on "will." This idealistic tendency is exhibited 
 in the statement, previously quoted, that "Apart from some 
 classifying will, our world contains no classes." 
 
 Modes of action such as those of willing, of affirming and 
 denying, — and especially of finding that denial presupposes the 
 very thing denied, may indeed present a specific existential case 
 
 ' Cf. the criticisms of systems opposed to realism all through Part II.
 
 20 THE PROBLEM OF THE POINT OF VIEW 
 
 of entities that are individual, are similar, form classes with 
 sub-classes, have logical products, and form series that are 
 infinite, and, also, either discontinuous, dense, or continuous. 
 But this does not imply that any of these generic entities as 
 such, or that any instance of them, such as, e.g., the real num- 
 bers, points, and physical objects, is created hy ''will," or 
 dependent on it. 
 
 The ground for this assertion is the generally recognized 
 principle, accepted by Professor Royce himself, that, if there is 
 one "instance," it is always a permissible hypothesis that there 
 are others. Perhaps, indeed, "instance" means or implies just 
 this possibility. It follows, that, if there is one "instance," 
 namely, of acts of ''will" which form classes, series, etc., the 
 possibilities cannot be denied (1) that there are other instances 
 of these generic entities, class, series, etc., and (2) that these 
 generic entities themselves also are, i.e., have being. However, 
 if there are these possibilities, there are also the further ones, 
 (3) not only that these other instances of individuals, classes, 
 and series may be independent of that particular series which 
 is identical with acts of will, but also (4) that the generic en- 
 tities, class, series, and the like, may be similarly independent.^ 
 In fact, this independence of "other instances" is itself identical 
 with that of these generic entities. But in any case, even with 
 only the possibility implied, that there are other instances of 
 series than the will-series, it is logically prohibited to infer the 
 dependence, either of these other instances, or of the generic 
 entities, on the will-series itself. The opportunity for their inde- 
 pendence is quite as good as for the opposite. Such an inde- 
 pendence is quite compatible with a relatedness of both the 
 specific and the generic entities to will, to reasoning, or to know- 
 ing, and means the objectivity both of the generic logical 
 entities, class, individual, series, and of all instances of these 
 entities. 
 
 However not only can one thus find that this hypothesis of 
 the objectivity of logical entities and principles is permissible, 
 and that it is confirmed by empirical investigation," but also 
 one can show that Professor Royce himself really presents no 
 obstacles to its acceptance as confirmed. For the very logical 
 
 » Cf. Cliap. XLIV. ' Cf. Chap. XXVI., ii., 1.
 
 REALISM AND LOGIC 21 
 
 principles which our author himself elucidates and accepts, if 
 they are applied to the specific situation under discussion, them- 
 selves demand this conclusion. This can be demonstrated as 
 follows : — 
 
 Professor Royce makes a number of statements to the effect 
 that "rational will," ''modes of action," "reasoning," "the 
 making of conceptual constructions," and "the getting rid of 
 them," and the like, each "presupposes" or "logically" implies 
 that logic which is identical with classes of individuals that 
 stand in one or another, or in many, of several relationships, 
 and that form one of the several kinds of series. 
 
 Although neither "presuppose" nor "imply" is defined by 
 Professor Royce, each of these "entities" is by his own logic 
 (at least) a relation. This is the case, first, because the distinc- 
 tion is made between the act of "rational activity" (the \n\l 
 to reason) and that which this activity presupposes or logically 
 implies, namely, individuals, classes, and series. "Presupposer" 
 and "presupposed" are, therefore, at least two. But, secondly, 
 a relation is defined (p. 96) as "a character that an object pos- 
 sesses as a member of a collection (a pair, a triad, etc.), and 
 that would not belong to that object, were it not such a mem- 
 ber." We must conclude that, since "presupposer" and "pre- 
 supposed" are two, they are related, and that "presuppose," 
 or "imply," is the relation present between them. 
 
 The next important question is, Can that which is presup- 
 posed or implied be related to, and yet be independent of the 
 "presupposer" or "implier"? And again Professor Royce 
 gives us the materials for an answer. In his presentation of 
 the several classes of relations as dyadic, triadic, symmetrical 
 and non-symmetrical, transitive and intransitive,^" he says (p. 
 99), ''Transitivity and symmetry are mutually independent rela- 
 tional characters." This independence is then exhibited by 
 finding instances of the one character without the other. Thus 
 the relation of "greater than," symbolized by >, is transitive, 
 since, il A > B and B > C, A > C; but it is totally non- 
 symmetrical, since, ii A>B, this precludes B > A. Likewise 
 the relation "father of" {A is "father of* B) is also non- 
 symmetrical, yet it is non-transitive, since, if A is father of B, 
 " See Chap. XXVIl.
 
 22 THE PROBLEM OF THE POINT OF VIEW 
 
 and B is father of C, A is precluded from being father of C: 
 the relation '' father of" does not "go" from A to C. "An- 
 cestor of" is, however, both non-symmetrical and transitive. 
 Thus are symmetry and transitivity demonstrated to be, in 
 Professor Royee's own words, '^ independent relational char- 
 acters." But, in any case, by the principles previously stated, 
 since these characters are two, i.e., a pair, they are related. 
 Therefore it follows, in at least one case, that relatedness and 
 independence are quite consistent, and 'cosuhsist.' '^^ 
 
 Here again it must be said, that, if there is one instance of 
 such compatibility, there may be others, and, further, that in 
 no case does relatedness merely of itself imply, necessitate, or 
 carry with it, dependence; nor independence, non-r elatedness. 
 Just such another instance, however, may be the important 
 relation, just discussed, of "presupposition" or "implication." 
 That which is presupposed or implied, namely, the logic of order, 
 may be related to and yet be independent of that which pre- 
 supposes (or implies) it, namely, that very rational activity 
 which Professor Royce emphasizes so much. 
 
 With this the case, one certainly cannot justifiably assert 
 that (p. 109) "our world contains classes" only because 
 there is the will to classify. One cannot in this manner 
 logically maintain a "synthetic union" of "creation" and 
 "discovery." 
 
 However, in order to confirm empirically this hypothesis, that 
 independence and relatedness are quite compatible. Professor 
 Royce himself need only have found, if possible, another class 
 and series of individuals that bear the same relation (that of 
 being "reviewed") to his own investigating mind as do his own 
 rational modes of action. He discovers among or in these last, 
 quite as Descartes found that either to deny or to assert con- 
 sciousness is to presuppose it, a relation that generates a series. 
 Thus he finds that to review a mode of action is itself a mode of 
 action that implies its own possible reviewal in another mode 
 of action, and so on, in an infinite series. Further, this series 
 is found to be generated by an asymmetrical transitive relation, 
 and is either discontinuous, dense, or continuous.^- However, 
 each member of the series is, as Professor Royce himself admits 
 
 " See Chap. XXVI., n., 1. ^= Cf. Chap. XLIII., vn.-x.
 
 REALISM AND LOGIC S8 
 
 (p. 153), "distinct," and sooner or later there is that member 
 of the series which discovers, or is identical with ihe discovery 
 of, the serial character of the whole. It is shown by the subse- 
 quent study of this series, that, if any specific member drop out, 
 especially any so-called first or last member, the series is no 
 less serial or ordered. The series is, therefore, both related to, 
 and yet independent of any member that can thus "drop out." 
 Thus that very serial character of the "modes of action," 
 which Professor Royce, in order to support his Idealism, 
 would show is created by and depends upon the "will 
 to act," is implied by his own logic to be independent of that 
 individual act or member in which it is discovered. This is 
 Realism. 
 
 But further, that there are other series than the series of the 
 modes of action called "reviewing," "noting," and the like, is 
 also admitted, at least tacitly. For our author accepts and 
 explains at some length the correlation of series and the func-/ 
 tional relationship.^^ Then, at least, there must be series (at 
 least two) to be correlated, say, by a one-one relation,^* and each 
 series is distinct from the other. But, though thus related, 
 they are also in their distinctness, or bare "twoness," inde- 
 pendent. For. if there must be at least two entities as the con- 
 dition for a relation, then this relation cannot in turn generate 
 or condition this minimum of diversity. 
 
 We thus reach, finally, an important conclusion of direct 
 bearing on the problem of the character of the relationship 
 between "knowing process" and "entity known," whether this 
 be existential or subsistential, generic or specific, physical or 
 mental. First, there are other manifolds than that of the series 
 of rational will-acts. This is implied by the possibility of series 
 being correlated, for correlation demands at least two series. 
 But the manifold of will-acts is a series. Then there must be 
 other series with which this is in correlation. Accordingly we 
 must include (1) that other manifolds are, or have being; 
 (2) that these other manifolds involve one, some, or all of the 
 logical principles that the series of rational will-acts itself 
 involves; (3) that, as "other than" and numerically distinct 
 from this series, these other series are both independent of and 
 
 " Cf. Chap. XLIII., VU.-X. " See Chap. XXVII.
 
 24 THE PROBLEM OF THE POINT OF VIEW 
 
 yet related to it, just as the series of one's own rational "modes 
 of action" (e.g., Professor Eoyce's) are both related to and 
 independent of that specific mode which is the act of discovery; ^^ 
 and (4) that there is at least the possibility that all of 
 these ordered manifolds should be related to, and yet be 
 distinct from, not indentieal with, and independent of one 
 another. 
 
 This four-fold conclusion presents one of the most important 
 parts of that modern logical doctrine which is called Logical 
 Pluralism. It is the direct opposite of that tendency which 
 Professor Royce supports, at least towards the close of his 
 essay, namely. Logical Monism. These two positions together 
 center on what is perhaps the most important prohlem in philo- 
 sophical methodology, that, namely, of the compatibility of 
 independence and r elatedness. ^^ The one answer to this problem, 
 Logical Monism, has, whether it be true or false, conditioned 
 logically the majority of the great orthodox philosophical sys- 
 tems down to the present. It is an answer that is itself con- 
 ditioned historically and psychologically in the Aristotelian 
 tradition. The other answer, Logical Pluralism, has also had its 
 foreshadowings now and then throughout philosophical devel- 
 opment, but its roots strike deepest into that fertile soil for 
 logical research which is furnished by the relatively recent de- 
 velopment of the empirical sciences, including mathematics. 
 Only of late has this tradition and tendency come, as it were, 
 to self-consciousness, and its logic been formulated. Professor 
 Royce 's essay forms a notable contribution to the formulation 
 and emphasis of the importance of this new logic or "science 
 of order," as it may be called. Indeed this long discussion of 
 the essay has been undertaken because of its recognition of "the 
 inexhaustible opportunities for future progress," both in 
 philosophy and in science, through investigations in this new 
 field. Not so much along the line of continuing to use the 
 traditional logic as in philosophizing in accordance with the 
 new logic, is there the possibility of philosophical advance in 
 the future; not so much by studying substance and causation, 
 mere classes, and the relations of exclusion and inclusion, will 
 real problems be solved, as by examinmg the various types and 
 
 " See Chap. XXVI., ii., 1. " Ihid.
 
 THE OLD AND THE NEW LOGIC 25 
 
 the properties of relations and series {as well as mere classes), 
 the correlations of series {e.g., functions), and the nature of 
 implication and presupposition. The one procedure would seem 
 to have exhausted its possibilities : the other is full of promise. 
 
 CHAPTER III 
 THE OLD AND THE NEW LOGIC 
 
 I. INTRODUCTORY 
 
 A SURVEY of the general situation in modern philosophy dis- 
 closes three dominant features. One of these features is the 
 ascendancy of the epistemological problem over all other prob- 
 lems. Thus from the time of Descartes (1596-1G50), of Locke 
 (1632-1704), and of Kant (1724-1804) to the present, there has 
 been sought either an absolutely certain basis for (absolute) 
 knowledge, or a knowledge of how we know, or both, before 
 philosophers have gone ahead and known, as, in contrast, the 
 scientists have gone ahead. Secondly, there has been the almost 
 exclusive influence both of a method or logic and of a set of 
 fundamental premises, often called necessary truths, that may 
 be grouped together under the caption of Aristotelian logic. 
 The third dominant feature is one of omission, but it is the 
 correlative of the other two. Philosophers have proceeded 
 largely in ignorance of the actual practice of, and, in many 
 cases, of the results obtained by the scientists, who have in- 
 creased human knowledge without prior investigation of the 
 problem of knowing. Thus, e.g., philosophy has largely been 
 ignorant, until rather recently, of a logic that is radically dif- 
 ferent from the Aristotelian. 
 
 Now, as has been suggested in the preceding chapter, the 
 demonstration that there is one philosophical position tvhich is 
 presupposed by others, and that this position is Realism, is 
 obtained by examining the "knowing situation" in the light of
 
 ^6 THE PROBLEM OF THE POINT OF VIEW 
 
 the principles of this neiv logic. The general epistemological 
 problem includes a number of more specific problems, such, e.g., 
 as those of the origin of knowing, the nature of truth and its 
 tests, the limits of knowledge, and the like. But ivhatever posi- 
 tion is taken in the solution of these problems, and whether this 
 position be Skepticism, Individualism, Pragmatism, Naturalism, 
 Positivism, Idealism, or Phenomenalism, it is presupposed that 
 the knowing process and the ''state of affairs"'^ known and 
 asserted in the position taken, are both independent and related. 
 This presupposition, however, is the very essence of Epistemo- 
 logical Realism. In other words, whoever asserts or advances as 
 true a position that is opposed to Realism, of necessity takes a 
 realistic position toward that very ''state of affairs" which this 
 opposed position describes. For, if one arrive at any conclusion at 
 all in solution of the epistemological problem, then some position 
 is asserted, as true in some sense, and this position is descriptive 
 of that "state of affairs," regarding the knowing situation, 
 which includes the relation of knowing to the entities known,, 
 whether these entities be simple or complex. But it is there- 
 with presupposed, that, although this (true) "state of affairs" 
 is known by him who asserts it as true, and is therefore related 
 to this specific knowing, nevertheless it is, as a genuine "state 
 of affairs," not created, altered, or ynodified by virtue of this 
 relation. This, however, is a clear case of asserting and of pre- 
 supposing, at least tacitly, that rclatedness and independence 
 are, in one instance at least, quite compatible. From this it 
 follows, in this specific instance, that one, at least, of the two 
 entities, knowing and entity known, could be without the other. 
 But that this is the fact, is, again, one of the basic contentions 
 of Realism. 
 
 This discovery of the compatibility of relatedness and inde- 
 pendence in the instance of the knowing situation, and in other 
 cases as well, has extremely important consequences. Indeed 
 this compatibility is a fundamental logical principle that leads 
 to the development both of more specific logical doctrines and 
 of a detailed Realism. 
 
 One of the most important implications of the principle is, 
 
 ' E. L. Thorndike, Elements of Psychology, p. 71 et passim, also uses 
 this phrase.
 
 THE OLD AND THE NEW LOGIC 27 
 
 e.g., that it permits of the validity of analysis. For, iy it, the 
 "thing" analyzed, though related to the act of analysis, can be 
 independent of this. But, if it is thus independent, then the 
 analyzed entity is not created, altered, or modified by the 
 analysis. This principle of the consistency of relatedness and 
 independence that is itself discovered by analysis, thus logically 
 supports the validity of the very method of its own discovery. 
 
 But, further, the principle implies that those constituent 
 parts of which analysis discloses certain wholes to be made up, 
 are to be accepted as entities that are not thereby created, but 
 that are discovered. For, if entities can be both related and 
 independent, then such constituent entities do not of necessity 
 causally affect, modify, alter, or create one another. They can, 
 therefore, either be removed experimentally without being 
 changed, or, if an experimental removal is impossible, they, or 
 at least certain classes of them, can be selected and isolated in 
 the attention field, while others are ignored. This is analysis 
 in situ - — a method that has been most productive, all through 
 the history of modern science, of the discovery of the details of 
 those complex entities that cannot be experimentally rent 
 asunder. It is also a method of virtual ^ elimination, since, if 
 one class of entities is independent, in the sense defined, of 
 another class, then the one can he studied as if the other were 
 not present. 
 
 In the results and methods of the more exact sciences, espe- 
 cially mathematics, and the new logic, which is largely the 
 formulation of such methods, any number of instances of re- 
 latedness and independence, of analysis in situ, and of virtual 
 elimination are present. These are found, e.g., among func- 
 tional relations, which subsist between variables; among abso- 
 lutely simple entities, such as points and instants, both in the 
 case of the relations of the individuals of each of these classes 
 among themselves and to those of the other class; and among 
 
 * Analysis situs is the term that is used in mathematics. But the phrase 
 here used also has recognition; e.g., see Cajori, History of Mathematics, 
 p. 226. Cf. Russell, Principles of Mathematics, pp 141, 466. It is here 
 used with a broader meaning than it has in the technical analysis situs. 
 
 * Cf . the definition of " virtual " as " existing in effect, but not actually," 
 given by Mach, Science of Mechanics, p. 49, in his footnote concerning 
 The Principle of Virtual Velocities.
 
 28 THE PROBLEM OF THE POINT OF VIEW 
 
 relations, such as 'cosubsisting' asymmetrical and transitive rela- 
 tions, as we found in the preceding chapter.* 
 
 If, now, it were not possible to discover in a direct manner, 
 that the knowing situation demands the compatibility of re- 
 latedness and independence and the possibility of an analysis 
 which always leaves the knowing in situ in any situation where 
 something is known, this might he discovered by first forming 
 our hypothesis in accordance with those principles that are 
 recognized in the new logic. Conversely, if these principles had 
 not been already obtained from other sources, then the first sug- 
 gestion of them as well as direct evidence for them could well 
 come from an analysis of the knowing situation itself. Either 
 order of procedure is thoroughly empirical, and the outcome in 
 the two cases is the same. On the one hand it is, that the * ' state 
 of affairs" in the "knowing situation" is one that demands, 
 if no other instance does, those principles which are recognized 
 in the new logic, while, on the other hand, it is, that for these 
 principles there is one more opportunity for "application" in 
 the particular instance of the knowing situation. 
 
 An analogous statement with reference to the traditional, old 
 logic, especially those doctrines which concern the concepts of 
 substance and of cause, meets, however, with a different fate. 
 First, the result of the empirical study of the knowing situation 
 directly invalidates at least the universality of these two con- 
 cepts. For it is found that the knowing situation is one that 
 makes it impossible for the knowing or the ego to be a sub- 
 stance, or to have a modifying, causal effect on the entity known, 
 on pain of the attempt genuinely to know defeating itself. Or, 
 secondly, if one endeavor, conversely, as it were, to "apply" 
 these concepts of substance and cause, then they fail to account 
 for the facts of the knowing situation, namely, that there is 
 always something that is genuinely known. And yet it is just 
 these traditional principles and concepts that have been applied, 
 in one form or another, again and again, in the orthodox en- 
 deavors to solve the epistemological problem, until, with per- 
 haps every variation tried and a philosophical impasse reached, 
 one must seek success by a radically different procedure. 
 
 The necessity of thus adopting a new and radical point o^ 
 
 * Pp. 21-22.
 
 THE OLD AND THE NEW LOGIC 29 
 
 vietv may indeed be forced upon us even by the mere manifold- 
 ness of systems that result from the application of the tradi- 
 tional doctrines. But, even if this were not so, the discovery 
 of the self-contradictory character of at least some of these 
 systems, and of the presupposition by all of them of the prin- 
 ciples of the new logic, would compel our recognition. 
 
 II. THE ORIGINS OF THE TRxiDITIONAL LOGIC 
 
 The modern view is that logic is an empirical science. One 
 accepts various types of relations, of classes, of series, and of 
 functions because one finds that there are these entities. One 
 proceeds here much as he does in physics, chemistry, and 
 biology, namely, by induction. In induction one generalizes 
 from those cases that are regarded as typical and are taken at 
 random. The inductive procedure, further, may be used either 
 quite unconsciously and uncritically, as it often is, indeed, in 
 common sense affairs, or with full knowledge and control of it 
 as a method, as it is in science. 
 
 This modern view, although one not held by all logicians, as 
 to what logic is, and as to what constitutes logic, results from 
 the use of the general inductive method as it is used in science, 
 namely, consciously. But the use of induction in the historical 
 development of logic has 7iot been of this kind. For, if we 
 investigate the heginnings of logic among the Greeks, we find 
 much evidence for the conclusion, that these founders of logic 
 were unconsciously dominated, in respect to the typical cases 
 which they selected for inductive examination, by physical 
 things. However, that this should have been the case, is, per- 
 haps, not surprising. For psychology shows that, out of all 
 the variety of the realm of entities with which we are acquainted, 
 it is physical things that most extensively and intensively attract 
 the attention of both the individual and the nation that is im- 
 mature. But both psychology and the history of human thought 
 show, also, that the physical thing, when this thus becomes the 
 model for thinking, is itself conceived of as a complex of quali- 
 ties that inhere in a suhstance-like substratum or core, the thing, 
 i.e., the qualities and the substratum together, being "particu- 
 larized" as here or there in space, and as now or then in time. 
 
 It is the physical thing, therefore, as defined in this way, that
 
 30 THE PROBLEM OF THE POINT OF VIEW 
 
 was the model after which the Greek philosophers, though uncon- 
 sciously, perhaps, patterned their thinking and formulated the 
 "laws of thought," ^ these laws being called logic. Accordingly, 
 
 " In the very nature of the case it is difficult to get certain evidence 
 that Aristotle and his predecessors in Greek thought were predominantly 
 influenced by the particular physical thing as the model after which they 
 patterned their thinking, i.e., both their logic and philosophy. For such 
 an influence would, in the circumstances, be exercised without at least the 
 full awareness, criticism, and consciousness of those whom it affected. 
 Therefore we must not expect to find an explicit recognition and formula- 
 tion of this influence in the philosophical writings of the Greeks, but we 
 must, rather, look for such an influence " between the lines," and beneath 
 the surface. 
 
 If, e.g., Aristotle's Metaphysics is examined in this way, it will be 
 found that, by and large, the whole work, and especially Book V., is 
 couched in terms of the particular thing. That to which Aristotle directs 
 his thought, and from which he derives the rest of his philosophy is a 
 concrete somewhat ( rdde ri ) , an individual thing. This concrete somewhat 
 is a subject {v^roKeifievov) with qualities, quantities, and relations. These 
 latter are the predicates of the former (vnoKelfievov ) , while the former, the 
 subject, does not stand in the relation of predicate to the latter or to 
 anything else. 
 
 As examples of statements that confirm this whole view one finds in 
 the Metaphysics the following definitions: Book V. (A), Chap. I., "'Be- 
 ginning ' means that from which a thing arises, e.g., as the foundation of 
 a house." Chap. IV., " ' Nature ' means the genesis of growing things." 
 Chap, v., "'The necessary' means that without which, as a condition, 
 o thing cannot live, e.g., breathing and food are necessary for an animal." 
 Chap. VI., b, " Things are called one — because the substratum does not 
 difl'er in kind." Chap. VIII., " ' Substance ' means the simple bodies, i.e., 
 the earth and fire and water and everything of the sort, and, in general, 
 bodies and the things composed of them, both animals and divine beings 
 and the parts of these. All these are called substances because they are 
 not predicate of a subject, but everything else is a predicate of them." 
 
 In agreement with the view of the writer, that the particular physical 
 thing was the point of departure for Aristotle, we have also the statement 
 of Grote, Aristotle, 2nd ed., 1880, p. 97, that Aristotle " was, as far as we 
 can see, original in taking as the point of departure for his theory the 
 individual man, horse, or other perceivable object; in laying down this 
 concrete particular with all its outfit of details, as the type of Ens proper, 
 complete and primary; and in arranging into classes the various secondary 
 modes of Ens according to their different relations to the primary type 
 and the mode in which they contribute to make up its completeness." 
 Also, ibid., pp. 69 and 79. 
 
 A. W. Benn in his Greek Philosophers, 1914, and R. Adamson, in hia 
 Development of Oreek Philosophy, 1008, also agree with my view. See 
 the latter author, op cit., pp. 153-154 and 180-182. Also E. Cassirer, 
 Substanzbegriff und Funktionsbe griff, 1910, Chap. IV., v., concurs in my 
 views, not only as to the origin, but also as to the character of the 
 Aristotelian tradition. 
 
 On the Aristotelian tradition see de Wulf, History of Mediceval Phi- 
 losophy, 1900, trans, by Coffee, and Scholasticism, Old and Neiv ; H. O. 
 Taylor, The Classical Heritage of the Middle A (jes, and The Media vol 
 Mind; and Adams, Civilization during the Middle Ages, Cambridge 
 Mediaeval History. A good systematic account of the general character 
 of this development in its divergencies, with names, dates, bibliographies.
 
 THE OLD AND THE NEW LOGIC 31 
 
 it is not surprising that not only in the logic and thinking of 
 these Greek philosophers, but also in the whole long tradition 
 which has developed from them, one should find philosophy to 
 be dominated by the * ^ thing-concept,' ^ and by those further con- 
 cepts that are derivable from this, namely, the concepts of sub- 
 stance and of cause.^ 
 
 etc., will be found in F. H. Thilly'a History of Philosophy, 1914, pp. 120- 
 227. Cf. with this, Boutroux, Historical Studies in Philosophy, trans, by 
 F. Rothwell, pp. 74-169, especially pp. 156-162. For the continuation of 
 the tradition in modern philosophy see The Life of Ren6 Descartes, by 
 E. S Haldane, 1905. 
 
 Evidence that the concrete particular thing was the model for earlier 
 thinkers as well as for Aristotle, is found in Plato in the Cratyhis, the 
 Vhcexlo, and the Parmenides. Plato's logic is presented in the Cratylus, 
 the Phcedo, and the Thecetetus. 
 
 * As illustrating the character of the tradition, and also as confirmatory 
 of my main hypothesis, I may quote a modern scholastic, P. Coffee, 
 Ontology, pp. 216-217. 
 
 " First, as regards our knowledge of the existence of substances, and 
 the manner in which we obtain our concept of substance. We get this 
 concept from corporeal substances, and afterwards apply it to spiritual 
 substances; so that our knowledge of the former is 'immediate' only in 
 the relative sense of being prior to the latter, not in the sense that it is 
 a direct intuition of the natures of corporeal substances. We have no 
 such direct insight into their natures. But our concept of them as actually 
 existing is also immediate in the sense that at first we spontaneously 
 conceive every object which comes before our consciousness as something 
 existing in itself. The child apprehends each separate stimulant of its 
 sense perception — resistance, color, sound, etc., — as a ' this ' or a ' that,' 
 i.e., as a separate stimulant in itself; in other words, it apprehends all 
 realities as substances: not, of course, that the child has yet any reflective 
 knowledge of what a substance is, but unknowingly it applies to all 
 realities at first the concept which it undoubtedly possesses of ' something 
 existing in itself.' It likewise apprehends each such reality as ' one ' 
 or ' undivided in itself,' and as ' distinct from other things.' Such is 
 the child's immediate, direct, and implicit idea of substance. But if we 
 are to believe Hume, what is true of the child remains true of the man: 
 for the latter, too, ' every perception is a substance, and every distinct 
 part of a perception a distinct substance.' Nothing, however, could bo 
 more manifestly at variance with the facts. For as reason is developed 
 and reflective analysis proceeds, the child most undoubtedly realizes that 
 not everything that falls within its experience has the character of ' a 
 something existing in itself and distinct from other things.' ' Walking,' 
 ' talking,' and ' actions ' generally, it apprehends as realities, — as reali- 
 ties which, however, do not ' exist in themselves,' but in other beings, in 
 the beings that ' walk ' and ' talk ' and ' act.' And these latter beings 
 it still apprehends as ' existing in themselves,' and as thus differing from 
 the former, which ' exist not in themselves but in other things.' Thus 
 the child comes into possession of the notion of ' accident,' and of the 
 further notion of ' substance ' as something which not only exists in 
 itself (bvaia,] ens in se subsistens) but which is also a support or subject 
 of accidents {vnoKeifjevov, suhstans, suhstare) . Nor, indeed, need the 
 child's reason be very highly developed in order to realize that if experi- 
 ence furniBhes it with 'beings that do not exist in themselves'; that if
 
 32 THE PROBLEM OF THE POINT OF VIEW 
 
 Such is the conclusion to which the study of the history of 
 philosophy brings us, as is shown by the fact that the dominant 
 concepts in philosophy throughout the middle ages and, indeed, 
 in the greater part of modern philosophy, e.g., in the systems of 
 Descartes, Spinoza, Berkeley, Kant, and Hegel, have been: 
 (1) substance, in the sense of a substratum in which (2) quali- 
 ties seem to inhere'' — as in a physical thing; (3) causation, in 
 the sense in which one physical thing seems to affect another 
 physical thing, namely, by producing an effect which is a new 
 quality that inheres in the substance of the thing affected ; (4) 
 the relations of similarity and dissimilarity, by virtue of which 
 "things" form classes; (5) the fact of class and the relation of 
 inclusion by virtue of which an individual "thing" is included 
 in a class, or one class is included in another class,^ completely, 
 partially, or negatively; (6) and finally, the additive relation 
 by virtue of which, whether it exists alone or together with 
 similarity, parts form a whole that is not ordered or serial 
 in character, and that has only the same characteristics that the 
 parts have. 
 
 That philosophy and even science, somewhat, should have been 
 dominated by these concepts, is, however, readily understood, if 
 one inquires, What would most probably be the derivative con- 
 cepts if the particular physical thing were unconsciously made 
 the model not only for the formulation of logic but for "actual" 
 thinking and reasoning? "Would it not then have seemed to the 
 
 ' accidents ' exist at all, it would be unintelligible and self -contradictory 
 to deny the existence of ' substances.' 
 
 " Hence, in tlie order of our experience the first, implicit notion of sub- 
 stance is that of ' something existing in itself ' ( Svoia ) ; the first explicit 
 notion of it, however, is that by which it is apprehended as ' a subject 
 or support of accidents' (vTroKeifjnov, suhstare, substantia) ; then by reflec- 
 tion we go back to the explicit notion of it as ' something existing in 
 itself.' In the real or ontological order the perfection of ' existing in 
 itself ' is manifestly more fundamental than that of ' supporting 
 accidents.' " 
 
 'Aristotle distinguished four causes. Tims he says: "The same thing 
 may have all the kinds of causes, e.g., the moving cause of a house is the 
 art or the builder, the final cause is the function it fulfils, the matter is 
 earth and stones, and the form is the definitory formula." — Metaphysics, 
 translated by \V. D. Ross, Bk. III., Chap. II., p. 990''. These four causes 
 are usually called the efficient, the final, the material, and the foi'mal, 
 respectively. They are in turn " reduced " to two, the material and the 
 formal. 
 
 * Aristotle's doctrine of the syllogism, contained in the Prior Analytics, 
 the Posterior Analytics, and the Topics.
 
 THE OLD AND THE NEW LOGIC 33 
 
 uncritical mind, even as it does today, that a thing is not the 
 mere aggregate of its qualities, but that it includes a suhstratum 
 in which these attributes inhere? For, if there are qualities, 
 are they not qualities of something, and so dependent? And 
 do they not, therefore, imply something that, ultimately, is not 
 dependent on anything else, on pain of this again being a quality 
 and so in turn demanding a substratum? With this the case, 
 would it be surprising if, further, the concept of a substance- 
 like unitary ego" had resulted from "thinking" a human being 
 after the analogy of a physical thing, with only the difference 
 that the substratum here is regarded as spiritual instead of as 
 "material"? And would it be a step far removed from this 
 also to conceive of the manifold parts of the universe as inhering 
 in one universal substratum, be this spiritual or material or even 
 "unknowable"? To these inquiries the history of philosophy 
 gives innumerable affirmative answers in, e.g., the doctrines of 
 rational psychology and the modern ontological monistic systems 
 of materialism and spiritualism. 
 
 But further, with the physical thing made, unconsci'^asly, 
 perhaps, the model for thinking, would it not also seem to the 
 uncritical and naive mind that things woidd affect one another, 
 so as to produce either modifications in old qualities, or quite 
 new ones, yet in both cases without prejudice to the self-ideyitity 
 of the substance-like substratum that is the "core" of each? 
 And also, if all the entities of the universe were conceived of 
 as "things" of this kind, and so in causal interaction, would not 
 each "thing," in respect to its qualities, be infinitely complex 
 by virtue of being affected by everything else? Indeed, would 
 not each complex of qualities depend on all other "things'* to 
 a greater or less degree, so that the universe would be like an 
 organism? And finally, would not the soul, or the knowing 
 ego, or whatever it may be called, be in interaction with other 
 "things," both material and spiritual, so as loth to affect and 
 
 * The Platonic doctrine of the unity of the soul, presented in the Phcedo, 
 the Thewtetus, and the Parmenides is an excellent example of the trans- 
 ference, to the human personality, of the model of the concrete particular 
 thing defined as a unitary substratum with a manifold of qualities. 
 
 Further references: C. M. Bakewell, Source Book in Ancient PhUosophij, 
 1909; Burnett, Greek Philosophy, Part I., Thales to Plato; Gomperz, 
 Greek Thinkers, trans, by G. G. Berry, 1912; Lutoslawski, The Origin and 
 Growth of Plato's Logic, 1905,
 
 34 THE PROBLEM OF THE POINT OF VIEW 
 
 he affected hy themf Then would not the very act of knowing, 
 as the act of a thing-like-ego, causally affect the object {to be) 
 known, with the result that all genuine knowing would h^ 
 rendered impossible? ^'^ 
 
 Again do our inquiries receive affirmative answer in some of 
 the great systems of philosophical history. Thus there is phe- 
 nomenalism, holding that things-in-themselves are unknowable, 
 and not merely unknown, because the "structure" of the know- 
 ing ego in its inherent qualities affects the "thing" known, thus 
 to condition the character of all that filters through. Thus it 
 conditions the tvorld that we live in as the only world that we 
 know. Of necessity it follows from this that, ivere knowing 
 eliminable, it could not be removed without altering "things" 
 as we know them. But there are also panzoism, maintaining that 
 the universe is a living being and has a soul, and anti-intellectu- 
 alism, holding that genuine intellectual analysis is impossible, 
 both because each thing is infinitely complex and because the 
 removal of a part alters its causal context." 
 
 Finally, we may complete our inquiries by asking: If the 
 physical thing is the model after which the naive mind strongly 
 tends both to conceive the entities that it thinks about and also 
 to formulate its logic, then what kind of a logic will this bef 
 Will it not be one that rests on the most patent relations among 
 *' things," in addition to that of causation? And are not these 
 the relations of similarity and of difference, and of mere "to- 
 getherness" or additiveness ? 
 
 But "things'' in that they are merely additively related form 
 only a plurality or manifold or collection that is quite inde- 
 pendent of order, while, as both similar and dissimilar, they form 
 distinct classes. Patterned on the physical thing as a model, 
 logic thus becomes essentially a system of classes that are either 
 included in or excluded from each other, partially or com- 
 pletely. But, if this is the logic of the naive mind, Greek or 
 other, then, with a tradition based upon it, would there not 
 develop philosophies which, because of the lack of the proper 
 methods of analysis, become involved in unsuccessful struggles 
 to solve such problems as those of infinity and continuity, calling 
 
 •'Kant's phenomenalistic position: Bee Chap. XXIX. 
 " See Chap. XXXIII.
 
 THE OLD AND THE NEW LOGIC 35 
 
 the results of these vain attempts "antinomies,"" as Kant 
 does? Would there not also be systems which, because they 
 insist that parts can be only additively related to form a whole, 
 can conceive of 7iotliing new appearing in this world-process? 
 Would they not thus be forced to deny all genuine evolution? 
 And finally, would there not be systems that would be con- 
 spicuous for their ignorance of those entities and relations which 
 science discovers, such as (1) limits, (2) relations that generate 
 series and correlations hetiveen these (some of which are called 
 functions) , and, lastly, many other wholes that have properties 
 which are very different from those of their parts f 
 
 Historical inquiry shows that nearly all of the great philo- 
 sophical systems, especially those of the last three hundred years, 
 have one or more of the characteristics above mentioned. Yet 
 that this should be the case is not surprising to him who looks 
 sufficiently beneath the surface to discover the influences that 
 have determined both problems and methods and solutions. One 
 may conclude, indeed, that throughout its entire history phi- 
 losophy has been for the most part "thingized," if the term 
 is allowable. The one great postulate from which deductions 
 as to both problems and methods and solutions have been made, 
 is, that entities are "things" which (1) consist of a suhstance- 
 like substratum in which qualities inhere, and (2) are related 
 causally, additively, and by similarity and difference. 
 
 in. THE FORMULATION AND THE CRITICISM OP THE TRADITIONAL 
 
 LOGIC 
 
 At the present time, however, in both philosophical and sci- 
 entific circles there is a fairly general recognition of the necessity 
 of some criticism of the Aristotelian traditional logic and of what 
 it has produced. This criticism, however, is participated in by 
 two schools. The one, attempting to criticize, is nevertheless, 
 with the irony of fate, itself caught up in the onward sweep of 
 the tradition. Even now it can discern no other methods and 
 concepts for intellect to use than the Aristotelian. And since 
 it discovers that, with these, intellect fails to solve certain prob- 
 lems, this school takes refuge in a philosophy of emotionalism, 
 
 " See Chaps. XXIII., XXIV., and XXIX.
 
 36 THE PROBLEM OF THE POINT OF VIEW 
 
 of intuition, and of direct experience. A much discussed repre- 
 sentative of this anti-intellectualism, emotionalism, and prag- 
 matism, is the French philosopher, Bergson. In criticism of this 
 school it is perhaps but fair to admit that it is guilty only of 
 an unconscious ignoring of those other methods and principles 
 to which intellect may turn if it does not succeed by the use of 
 the Aristotelian methods and principles. 
 
 The other school of criticism frankly recognizes these other 
 methods and principles, and, in the knowledge and use of them, 
 not only discovers the reason for the failures of the past, but 
 also solves problems and gains the promise of future advance. 
 Those who thus criticize are, many of them, scientists, but, 
 mostly, philosophers who keep their weather-eye on the methods, 
 the results, and the logic of modern analysis. 
 
 It is in the light of these methods and results that it is possible 
 to reformulate, in terms of logical theory, the major postulates 
 of the great historical systems of philosophy. The new logic, 
 especially through its principle of the consistency of relatedness 
 and independence, and its denial of universal causation, itself 
 logically justifies the presentation of the "comparative anat- 
 omy" of systems independently of their historical environment 
 and causes. Even the Aristotelian logic in its several aspects 
 receives reformulation and proper placing in a broader realm. 
 
 Thus the Aristotelian doctrine of the syllogism is found to 
 be but a special instance of the "science of order." An ordered 
 series is generated by some asymmetrical and transitive relation, 
 such as "precedes" or "less than" or "ancestor of," and the 
 relationship of inclusion is only one of a number of such specific 
 relations. Any asymmetrical transitive relation, e.g., "less 
 than," supposing it to be symbolized by the sign <, is of such 
 a character, that, if x <C y, and y <. z, then x <i z. Substituting 
 for these variables the less general ones of three classes, standing 
 as subject, or minor term, predicate, or major term, and middle 
 term, and symbolized by 8, P, and M, respectively, we have, if 
 S < M, and M < P, then S < P; i.e., the conclusion S < P is 
 "mediated" by a middle term, and in this conclusion this term 
 "falls out." This is all illustrated by the syllogism, that (1) if 
 knowing is an entity, and all entities are causes, then (2) know- 
 ing is a cause.
 
 THE OLD AND THE NEW LOGIC 87 
 
 But more important for our purposes is the restatement and 
 logical formulation of the traditional Aristotelian doctrine of 
 suhsiance and of cause. This doctrine is now called the theory 
 of "internal relations," and, in accordance with what has been 
 said of the dominant influence of the Aristotelian tradition, it 
 is evident that it is that theory which conditions logically most 
 systems of philosophy. The theory may be formulated in two 
 ways, according as emphasis is placed on one or the other of 
 the two doctrines that are involved in it. 
 
 The one formulation is, that terms, by virtue of being related, 
 causally affect one another and are complex, indeed infinitely 
 so; or, merely, that related terms are infinitely complex}^ How- 
 ever, this second statement is not so satisfactory as the first, 
 since it leaves the reason for the complexity unassigned. This 
 reason is, that terms are initially conceived of after the analogy 
 of interacting physical things. Then it follows that they are 
 infinitely complex not only because of the causal effect on them 
 of the infinite number of other "things" to which they are 
 related, but also because the effects thereby produced in turn 
 affect or causally modify one another, since they are related. 
 Phenomenalism, Subjective Idealism, Naturalism, Pragmatism, 
 and Anti-Intellectualism are systems that are logically derivable 
 from the postulation of this theory for one situation or another, 
 but especially in interpretation of the specific relational com- 
 plex, "knowing" and "object known." 
 
 A symbolism that may be used advantageously to express this 
 theory of internal relations in brief form is : — 
 
 xBy or a^y®^^- R 2/^ etc. 
 
 <r 
 
 The former symbolism is preferable, since it is the sim- 
 pler. B symbolizes the relation, x and y the related terms, 
 and the arrow that causal action of each term on the other, 
 by virtue of ivhich each becomes infinitely complex. This 
 specific theory of relations may be called the " modification 
 theory." 
 
 ''B. Russell, "The Basis of Realism," .Jovr. of Phil., Psych., and 
 Scientific Methods, 1911, Vol. Vlll., p. 158; also see the references in 
 Chap. XXVI. 
 
 Q ^ P n o 
 *J t) iJ \j kj
 
 !38 THE PROBLEM OF THE POINT OF VIEW 
 
 The other formulation of the theory of internal relations is 
 the proposition, that tiie relatedness of two terms demands an- 
 other, third entity, of a different order of reality, to mediate 
 the relationship, i.e., to make the relation "really" relate. This 
 may be called the "underlying," or the "transcendent reality" 
 theory. This theory is derived, consciously or unconsciously, 
 from the analogy of the supposed holding together of the several 
 related attributes of a physical thing hy the substance-like sub- 
 stratum in which they inhere, and of which they are attributes. 
 It receives an advantageous, brief formulation in the sym- 
 
 X R y 
 
 holism > — . — ', the meaning of which is evident. X, y, and R 
 
 symbolize respectively the two related terms and the relation, 
 and U the numerically single, metaphysical reality that medi- 
 ates this. Objective Idealism is an example of a system that is 
 logically derivable from the postulation of this theory as applied 
 to all entities, i.e., to the universe.^^ 
 
 The logical arguments for both of these aspects of the theory 
 of internal relations will be given in a later chapter.^'^ 
 
 In direct opposition to this twofold theory of internal rela- 
 tions stands the theory of external relations. A convenient sym- 
 bolism for this is x\R\y, or merely xRy. By this it is in- 
 tended to express (1) the fact of the mere relatedness of the 
 terms by virtue of the relation; (2) the absence of any causal 
 action of either term on the other; (3) the absence of any com- 
 plexity as produced by causal action; (4) the possible absolute, 
 numerical simplicity of either term; (5) the absence of any 
 entity to mediate the relationship, or to relate the relation to 
 the terms; (6) the independence of the terms side by side with 
 the fact of their relatedness. 
 
 The central question for which each of these theories of rela- 
 tions is asserted by its advocates to be an answer, is, How does 
 a relation relate? The answer of one party is, that a relation 
 relates by carrying with it, or by transmitting, a ca^isal effect 
 from one entity to another ; of another party it is, that a relation 
 relates through the agency of another, a third and underlying 
 entity. Each of these answers is conditioned, at least psycho- 
 
 " Chaps. XXXIV.-XXXVIII. " Chap. XXVI.
 
 THE OLD AND THE NEW LOGIC 39 
 
 logically, by the influence of the physical thing as the model 
 for all thinking. The answer of a third party is that a relation 
 just relates, with no causal effect, no dependence, no "under- 
 lying entity." 
 
 For the third theory, that of external relations, direct and 
 convincing evidence is found throughout a broad field of scien- 
 tific, logical, and philosophical investigation.^® A most impor- 
 tant instance is the functional relationship — between variables, 
 particularly in the case of "one-valued" functions, in which 
 there is a one-one correspondence between two series. Each 
 series is, of course, a manifold and a complex, but it is also 
 an ordered whole; and, in the case of one-valued functions, each 
 individual of the one series is related in a one-one manner to, 
 or is in one-one correspondence with, one and only one specific 
 individual of the other series. A simple illustration of such 
 one-valued functions is presented in the case of the uniform 
 motion of a body. Here the distance traveled is a function of 
 the time required ; i.e., each point of the path or space-series is 
 related in a one-one manner to one, and only one, specific instant 
 of the time-series ; each of these correlatioyis is, therefore, itself 
 a complex, but its constituent parts, namely, a point and an 
 instant, are, not complex, hut simple; they are, therefore, hoth 
 related and independent, since each would be "the same entity," 
 if it were out of the relation, that it is in the relation. The 
 motion itself is the series of these complexes, as these are related 
 asymmetrically and transitively." 
 
 Another instance of one-valued functions is the relation be- 
 tween the uniform acceleration of a falling body, and the specific 
 time-period required for this change. Acceleration is not mo- 
 tion, but it is change of velocity. It is, therefore, a series of 
 velocities that are correlated with the instants of the specific 
 time series of which it is the function. Each specific velocity 
 is a complex that is correlated in a one-one manner with one 
 and only one instant of this time-series, and this correlation is 
 in turn another complex. But no individual velocity is complex 
 
 " See G. A. Bliss, "The Function Concept and the Fundamental Notions 
 of the Calculus," in Monographs ov Topics of Modern Mathematics, ed. by 
 J. W. A. Youno:; also A. N. Whitehead, Introduction to Mathematics, 
 1911, Chaps. 1., II., v., and VI. 
 
 "See Chap. XLIII., x.
 
 40 THE PROBLEM OF THE POINT OF VIEW 
 
 by virtue of this particular one-one correlation, since, were there 
 no accelerated motion, there could still be (motion of uniform) 
 velocity. In other words, there could still be that complex, 
 point-correlated-with-instant, which is the constituent term of 
 uniform motion, even if there were not that further correlation 
 of this complex with an instant, which further relational com- 
 plex is the constituent term of acceleration. 
 
 The brief analysis of these two examples shows that at least 
 certain types of the functional relationship present a number of 
 instances of entities, both simple and complex, that are related 
 externally, as this term has been previously defined. Such in- 
 stances are (1) an ordered series of points, and (2) of instants; 
 (3) in the case of motion, the correlation of a point with an 
 instant, and (4) the ordered series of these complexes as "form- 
 ing" motion. Indeed it may be said, in general, of the func- 
 tional complexes in their several aspects of simple and complex 
 individuals that form series through asymmetrical and transitive 
 relations, and of complexes that are formed by one-one relations, 
 and the like, that a consistent explanation of them is possible 
 only on the basis of the theory of external relations. 
 
 Further evidence for the theory of external relations from 
 the fields of both science and logic will be presented in the later 
 chapters of this volume. At this point, however, we may note 
 the important fact, that, while philosophy has remained for the 
 most part under the influence of the Aristotelian tradition, 
 scientific development has been, from the time of Galileo (1564- 
 1641), especially in the mathematical sciences, largely identical 
 with the discovery of functional relationships and of what is 
 involved in them. The expression of these relationships in brief 
 formulae is indeed the symbolic form that is taken by the ma- 
 jority of precise scientific laws. That which these laws express 
 is, in a large number of instances, the correlation of variables, 
 and this correlation is the functional relation.^ ^ Science at the 
 present time distinguishes a number of different kinds of func- 
 tions, and it is remotely possible that some of these do not allow 
 of the "cosubsistence" of independence and relatedness. But 
 the majority of them do, and indeed, in some such manner as 
 
 •'Whitehead, op. cit.; Eoyce, Essay on "The Principles of Logic" in 
 the Encyclopedia of the Philosophical Sciences.
 
 THE OLD AND THE NEW LOGIC 41 
 
 our specific examples show. The functional relation at any rate, 
 therefore, involves in a number of ways relations that are 
 external. 
 
 For this reason, but also to employ a term which will perhaps 
 be more familiar to the reader than "external relation," and 
 which will suggest the sources of the evidence from which this 
 theory is obtained, I shall frequently use "functional" as inter- 
 changeable with "external." This can be done advantageously 
 except in cases where more precise distinctions are necessary. 
 As concerns the relation between the two, it may be said that 
 the theory of external relations is the formulation of that con- 
 sistency of independence and relatedness of which the functional 
 relationship is, in its several aspects, a most important example. 
 
 As other systems result logically from postulating one or the 
 other aspect of the theory of internal relations for certain situa- 
 tions, so Realism is that theory ivhich is, in general, consisten 
 with the theory of external relations, particularly as "holding 
 for the knowing situation. But there is a radical difference in 
 the two cases. In the one case there may be said to have been 
 a genuine application that was forced on philosophers ty his- 
 torical causes. The systems that result are not only self-refuting, 
 but lack empirical confirmation. In the other ease, that of 
 Realism, the specific theory of external relations is found to be 
 applicable. In other words, the investigation of the conditions 
 under which genuine knowing is alone possible discloses these 
 to be of such a character as to demand the "external" or "func- 
 tional" theory. They are shown to be but another instance of 
 the generic theory of two entities being both related and inde- 
 pendent. For example. Phenomenalism, Subjectivism, Natural- 
 ism and Pragmatism, and Objective Idealism, whatever else 
 they may be, are asserted to be, if not explanatory, then at least 
 descriptive of a "state of affairs" that is known, and that is 
 true. Yet the sole condition on which, in each instance, this 
 specific knowing can really be what it is at least tacitly assumed 
 to be, namely, genuine knowing, is that of the cosuhsistent 
 relatedness and independence of the knowing process and the 
 state of affairs known. But this condition, as a proposition, is 
 precisely what these systems explicitly deny. Therein lies one 
 aspect of their inconsistent and self-contradictory character. 
 
 i-
 
 42 THE PROBLEM OF THE POINT OF VIEW 
 
 Genuine knowing, and a cosubsistent relatedness and inde- 
 pendence between the object known and the knowing, are erc- 
 cluded, if the knowing is in any sense a substance after the 
 analogy of a physical thing. For, if it is this, then the knowing 
 process affects the object, and is self-defeating. From this the 
 conclusion is clear, that, if genuine knowing is to be accounted 
 for, and if knowing is to be regarded as a typical conscious 
 process, one hypothesis as to its nature, and that the great his- 
 torical one, is to be excluded. This hrjpothesis is, that knounng 
 and consciousness are substances. Whatever else these entities 
 may be, they cannot be this. They may be specific relations, or 
 specific events, one or both, or even specific disembodied qualities 
 that do not inhere in any substance. All of these classes of 
 entities are shown by modern logical analysis to be quite con- 
 sistent; for an event is a relational whole, and one specific event 
 is qualitatively different from others. All of these classes of 
 entities allow also for a cosubsistent relatedness and inde- 
 pendence. 
 
 But further, if the "substance view" is found impossible of 
 acceptance in explanation of the nature of knowing and of con- 
 sciousness in general, the suggestion lies near, that it must also 
 be given up as a means of explaining the physical thing. This 
 suggestion is confirmed by physical science. A physical thing 
 is now regarded in physics, not as a substratum in which quali- 
 ties inhere, but as a complex of mere qualities that are related in 
 various specific ways. It is a whole that is the 7ion-additive 
 result of its constituent parts, these parts seeming to be identical 
 with different energy-forms. But even energy, although it is 
 conserved, is not a substratum-like substance. Rather, it is at 
 once a relational whole, a process, and a specifically distinct 
 qualitative constituent of the universe. 
 
 The "relational view of consciousness" is, then, that one 
 which the writer finds himself compelled to support. Somewhat 
 paradoxical though this view is in the light of tradition, and 
 incomplete though it now is in many details, it is, nevertheless, 
 that view which seems to be forced upon us by the logic of facts. 
 It appears, however, as only one part of a much more extensive 
 position that may be well called the relational view of the uni- 
 verse, and that stands in strong opposition to the substance and
 
 THE OLD AND THE NEW LOGIC 4>S 
 
 the causal views. This position may, however, receive other 
 names. It may be called Ontological Pluralism from the fact 
 that there are found any number of instances of entities, both 
 simple and complex, that are related externally and functionally. 
 No empirical evidence is discovered either for the universality 
 of causation, or for one suhstratum, whether this be mind, 
 matter, or an "unknowable," The position may also be called 
 Realism, since, among the entities that are related externally 
 to other entities, are knowing and consciousness. Objects known 
 are neither modified nor created by the act of knowing, and no 
 underlying reality is required to mediate the knowing. Finally 
 the position may be called The New Rationalism to indicate that 
 there are new methods of rational analysis which make it possible 
 to solve problems where old methods fail. One is not justified 
 in betaking himself to an anti-intellectualism and emotionalism 
 on the ground that intellect fails, unless he has first granted 
 to intellect the freedom to use all possible methods. Recent 
 attacks on analysis '^^ have ignored those new logical methods 
 and principles that come from science, and have assigned to 
 intellect only those methods that are imbedded in the Aristotelian 
 tradition. Intellect, if limited to these, does fail to solve many 
 problems. But such attacks on intellect can have only a seeming 
 success, for there are other methods, as we have seen. These 
 new methods lead both to Logical Pluralism and to Realism. 
 For this reason the name The New Rationalism is perhaps the 
 most suitable for a volume that is a defense and an exposition of 
 a position the character of which is well indicated by any of the 
 three titles suggested. 
 
 BIBLIOGRAPHY 
 
 For a discussion of the problems of philosophy and the types of 
 philosophical thinking see J. G. Hibben, The Problems of Philosophy ; 
 W'm. James, A Pluralistic Universe; H. Hoffding, Problems of Philosophy ; 
 A. Key, La Philosophie Moderne; R. Eucken, Main Currents of Modern 
 Thought; VV. Windelband, Philosophische Richtungen der Oegenwart. 
 
 ^^ E.g. by Bergson in Creative Evolution.
 
 SECTION II 
 THE HISTORICAL PEOBLEMS OF PHILOSOPHY 
 
 CHAPTER IV 
 
 INTRODUCTORY 
 
 Having outlined, in some detail, the point of view and also 
 the departure from the more usual methods tvhich that point of 
 view represents, we may now undertake the task of examining 
 in further detail philosophical problems, methods, and solutions 
 of problems. The problems of philosophy will be considered 
 first, since so to proceed is to follow a certain natural order of 
 relationship, whether this be logical, psychological, or historical, 
 or all of these together. For it is clear, that, if there were no 
 philosophical problems, there would be no occasion to apply 
 methods of solution, even if these were ready at hand, and also, 
 that, if there were no problems to be solved, there would be no 
 solutions. To present, first, problems, then methods, and finally 
 solutions, is, therefore, to follow a specific order of relationship 
 between the three main divisions of all philosophical thought 
 and development. 
 
 However, in carrying out this program, the attempt will not 
 be made to discover a definition of philosophy that will separate 
 its problems from those of science, art, and religion. Rather, 
 without any such definition, reliance will be placed upon the 
 designation, both in the past and at present, of certain problems 
 as philosophical. Thus to recognize the historical point of view 
 is quite in agreement with the position, accepted in Chapter I., 
 that, while history is not the only source of facts and of prob- 
 lems, it is nevertheless one source, and that although many of 
 the historical problems of philosophy may be genuine, many 
 also may be false. But problems that are false logically may 
 
 44
 
 INTRODUCTORY 45 
 
 psychologically be very serious and real, and should, therefore, 
 in a general list of philosophical problems be included with 
 those problems that are logically and factually genuine. 
 
 Although the problems of philosophy will, then, be presented 
 in this very general sense, nevertheless they will be limited very 
 largely to that philosophy which has appeared in European 
 intellectual development. This limitation is made with the ex- 
 plicit recognition that very distinctive and interesting phi- 
 losophies have developed in other civilizations, notably in those 
 of India, of China, and perhaps of Japan.^ Indeed, for these, 
 especially for the first, much preeminence in both insight and 
 liberality is claimed by their occasional occidental adherents. 
 It may also be found that these philosophies are adapted to their 
 environment as beliefs to live hy, and that they are poetic in 
 form and suggestive of realities which are mysterious and 
 strange to the European mind; but, since it is also the fact 
 that they have developed in a social environment from which 
 there is absent much both of the knowledge of science and of the 
 logic that is involved in science, we are relieved of the necessity 
 of examining these systems in our present endeavor. 
 
 With our program thus limited, it is advantageous to remind 
 ourselves of that environment in which the problems, the meth- 
 ods, and the systems of European philosophy have arisen. This 
 environment consists of the realms of common sense, of conduct, 
 of religion, of politics, of science, and of creative art and 
 literature, each in a greater or lesser degree of development. 
 Each of these realms influences the others and is influenced by 
 them, and each contains certain elements which come to be 
 recognized and formulated as philosophical. It is thus that 
 philosophy arises and develops. Philosophy in turn is re- 
 absorbed into each of these realms, to influence them, and again 
 to help form a new environment, out of which, together with 
 its own tradition, there develop new problems, new methods, 
 and new solutions. However, of the parts played by these 
 several realms in containing, in influencing and in being influ- 
 enced by philosophy, it is the parts of religion and science that 
 are most important. Each of these realms has furnished prob- 
 
 ' See, e.g., P. Deussen, The Philosophy of the Upanishads, trana. by 
 Geden, 1906; and lloyce, World aiul Individual, Chiijis. II. and IV.
 
 46 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 lems, methods, and solutions to philosophy, and each has, during 
 certain periods of history, been the dominant motive and source 
 for all philosophizing. 
 
 Religion played this role, especially from the second and third 
 centuries A.D., down to the seventeenth century, and has recur- 
 rently done so ever sinee.^ But for the last four hundred years, 
 while the problems that come from religion have not been 
 excluded, it is science or at least the scientific impulse that has 
 been the most active stimulus for philosophy.^ Also in the 
 period of the bloom of the Greek civilization it was the scientific 
 and not the religious impulse that was in most intimate inter- 
 action with philosophy. Indeed it is important to note that in 
 their beginnings in that period both science and philosophy arose 
 from a common source, which was the conviction not only that 
 there is absolute truth, but also that the attainment of truth is 
 worth while both for itself and as a means to practical ends. 
 
 However, since at the present time it is not religion, nor art, 
 nor common sense, but science that is most intimately related to 
 philosophy and that furnishes it with most of its problems and 
 also with its methods, it is interesting to note hoiv this relation- 
 ship has been interpreted in certain specific historical instances. 
 
 First we may note the historical fact, that many hypotheses, 
 theories, and laws that now are scientific in the strict sense of 
 this term, e.g., the atomic theory, have had their origin in the 
 tendency of men to reflect, to speculate, and to seek for con- 
 sistent descriptions and explanations of the "things" that sur- 
 round them. This specific relationship between science and 
 philosophy, this origin of problems and solutions, is in large 
 part identical with the development of thought among the 
 Greeks, from its beginnings in the sixth century B.C. to its 
 climax in Plato and Aristotle. 
 
 A second and more sophisticated view is, that philosophy is 
 the queen that reigns over the sciences, possibly in all justice 
 and kindness, yet nevertheless to say them "nay" and to say 
 them "aye," prohibiting and permitting, and passing judgment 
 on the validity of their efforts. In this relationship philosophy 
 
 " Much philosophy has been and still is apologetics. 
 
 " iJ.g., with Descartes, Locke, tSpinoza, Comte, ISpencer, Mill, Mach, 
 Avenarius, the Neo-Realists, and probably with the Pragmatists.
 
 INTRODUCTORY 47 
 
 would assume for herself the role of a science, yet one in which 
 she would be not only distinct from other sciences in respect 
 both of subject-matter and of method, hut also supreme over 
 them. Her oivn distinct method would be that of criticism; her 
 subject-matter, the methods and the results of the other sciences. 
 Such an interpretation of the relationship between philosophy 
 and science is the position of Kant and of the Kantian tradition, 
 and persists even to the present. 
 
 Thirdly, and in distinction from the relationship just pre- 
 sented, it is also an historical fact, that, while to philosophy 
 there has been assigned both a method and a subject-matter that 
 are special, yet to her the right and the possibility of criticizing 
 has been denied. By this view philosophy is a constructive 
 science, along with other sciences, with her function neither that 
 of destructive criticism nor of sitting in judgment over other 
 sciences. This is a position of ancient lineage, since it is found 
 among the Greeks. It also precedes Kant in the philosophy of 
 Spinoza and of Leibniz, and follows Kant in Hegel and in the 
 Hegelian school. 
 
 Fourthly, still another interpretation and development, both 
 historical and recent, denies to philosophy not only all right to 
 criticize, both also all specific problems and methods. In this 
 view philosophy is held to be but the sum total, or, perhaps, 
 the organized and consistent unity of the whole group of the 
 special sciences. But the special sciences selected and em- 
 phasized are the group of so-called "natural sciences." Nothing 
 is admitted to be fact except what is recognized by these sciences, 
 and some sciences, such as mathematics, are denied their purity, 
 and wholly identified with their application to natural "things." 
 The whole realm of fact is thus held to be included in, and ex- 
 hausted by Physics, Chemistry, Physiology, Biology, Astronomy, 
 Psychology, and Sociology. This view has become especially 
 prominent during the last hundred years, because of the great 
 expansion of the natural sciences, and especially through the 
 influence of such great empirical generalizations as Evolution 
 and the Conservation of Energy. It is identical with Positivism 
 and Naturalism, and is the position held by such philosophers 
 as Comte, Spencer, and Ostwald, and by the majority of natural 
 scientists. Pragmatism is in large part its latest phase.
 
 48 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 Fifthly, — though perhaps this does not exhaust the list of 
 possibilities — there is the tendency of interpretation which 
 grants to philosophy a special field of research, but assigns to 
 her only those methods that have appeared and been tested in 
 the development of science. But in this case, as concerns results, 
 much, if not all, depends upon the view that is taken as to what 
 these scientific methods are. If these are selected as being 
 limited to the formal principles of the Aristotelian logic and 
 the concepts of substance and cause, as is more frequently the 
 case than not, then philosophical systems of a very limited type 
 result.* On the other hand, if recognition and use are made of 
 the modern scientific methods of the *' science of order" in its 
 several branches of analysis in situ, and of discovering func- 
 tional relations, series and their limits, and the various types of 
 non-additive relations, and the like, then there result radically 
 different, new, and satisfactory solutions of those problems that 
 are left for philosophical investigation only because the special 
 sciences omit to consider them. Aside from this, these problems 
 are quite as scientific as they are philosophical, and whether 
 they are referred to by the one name or the other is a matter 
 of complete indifference. That philosophy which results from 
 these liberal scientific methods as applied to the solution of 
 specific problems, may be called Rationalism, or Intellectualism, 
 or Neo-Realism. 
 
 The general question as to the character of the problems of 
 philosophy in their relation to science may perhaps be still more 
 sharply focused by the question : Are the methods and the results 
 of the individual sciences open to rcinterpr elation and trans- 
 formation, and, if so, to what extent and in what manner ? This 
 question is answered positively and definitely by the majority 
 of philosophical systems, most notably by Phenomenalism, by 
 Idealism, and by Naturalism. 
 
 As an excellent example of the complete reinterpretation and 
 transformation of the results of science, we may cite that philo- 
 sophical position — of great influence in recent thought — which 
 holds that all the entities of the enormous quantitative and. 
 qualitative midtiplicity and diversity of this universe, are but 
 
 * See Part II., Section 1, for the systematic and logical derivation of 
 BUch systems.
 
 INTRODUCTORY 49 
 
 the manifestation of, and are held together in relation and 
 made a universe by, a numerically single, unitary spiritual 
 being. Such a being is frequently identified with the Deity, 
 while the philosophy which holds to its existence, assign- 
 ing to it such "manifesting" and "uniting" functions, 
 is variously called Pantheism, and Transcendental or Objective 
 Idealism. 
 
 Another example of reinterpretation is the position which 
 holds that all the entities of our immense and yet minutely de- 
 tailed universe are, not the manifestations of a single universal 
 entity, but the partial creations of finite knowing minds. This 
 position is Phenomenalism. 
 
 Still another position maintains, that this creation is not par- 
 tial, hid complete, so that the whole universe (of time) and of 
 space, and of all other entities, is reinterpreted to be only the 
 sensations and ideas of finite knowing minds. This position is 
 Subjective Idealism. If this view be developed consistently, 
 then clearly everything, both great and small, must finally be 
 "brought within" one finite mind, as only its conscious states. 
 This position is Solipsism. 
 
 If, now, these positions are illustrative of some of the more 
 important ways in which the results of the individual sciences 
 are reinterpreted and transformed, it is of interest to contrast 
 this universe of the sciences in respect to its immensities and 
 minutenesses, its multiplicities and diversities, with e.g., that 
 numerical unity to which these characteristics are reduced in 
 some systems. 
 
 It does not in the least, however, lie within our province to 
 endeavor to reproduce that account which the sciences give of 
 the various aspects of this universe, but it suffices our purpose 
 merely to mention some of the most conspicuous of these scien- 
 tific facts. Thus, if we take the results of even one science, 
 namely. Physics, we find that it reveals not only the most striking 
 contrasts between the minuteness and the immensity of things, 
 but also the almost inconceivable numerical manifol'dness. For, 
 on the one hand. Physics holds to the existence of minute enti- 
 ties, called electrons, that are of the diameter of l/100,000th of 
 that of an average molecule, and that move at the rate of 37,000 
 miles per second ; on the other hand, there are other entities that;
 
 50 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 are quite as surprisingly large, and that, nevertheless, are made 
 up of such extremely minute parts. For example, as regards 
 the spatial size of "things," there are stars or suns which are 
 many hundreds of times as large as our sun (this being 864,000 
 miles in diameter) and from which light reaches us only in 
 100,000 "light-years," a light-year being the total distance that 
 light travels in one year at the rate of 186,000 miles a second. 
 If these "scientific facts" are suggestive of the greatness and 
 smallness of things, one can get an inkling of the numerical 
 multiplicity of the physical universe by first contrasting, e.g., 
 the size of a sun with that of an electron or even an atom, and 
 then by realizing that these minutenesses are the components of 
 those immensities. 
 
 But nothing has been said thus far of the qualitative diversity 
 of things, in regard to which science is not less startling. It 
 may be doubted, if any two individual entities are ever exactly 
 similar, but, whether they are or not, there are kinds or classes, 
 and the multiplicity of these is here again almost overpowering. 
 Thus, e.g., Biology recognizes that there are 500,000 different 
 species of plants and animals, and Chemistry, that there are 
 :iillions of qualitatively different compound substances. 
 
 These few examples must serve the purpose of suggesting, 
 though most inadequately, how very complex and manifold this 
 universe is. But they may suffice also to show hoiv very extensive 
 is the "material" that is to be manifested by a single unitary 
 being, or held together in relationship or perhaps in an organic 
 unity by such a being, or created in whole or in part by finite 
 minds, if the fact of such activities is the conclusion that we 
 accept as the result of our philosophizing, thus to maintain that 
 the entities of science must be transformed. 
 
 However, whether it is one of these positions or some other 
 that is the conclusion with which we issue, in any case, the scien- 
 tific account of things forms, together with the religious, the 
 political, the aesthetic, and the common-sense realms, that en- 
 vironment to which our philosophy must adapt itself as well as 
 contribute its part, and of which it must be interpretative. But 
 this is, indeed, now as it always has been, even when it was not 
 science, but other influences that were paramount. For, from 
 the time of the Greeks to the present philosophical problems
 
 THE ONTOLOGICAL PROBLEM 51 
 
 have arisen because they have been presented by that varied 
 and complex universe in which men have found themselves as 
 reflecting beings. 
 
 CHAPTER V 
 THE ONTOLOGICAL PROBLEM 
 
 This problem is examined first because of a certain precedence 
 over the other problems of philosophy. This precedence is in 
 part historical, in part psychological, and in part methodological. 
 
 Historically the ontological problem antedated the other prob- 
 lems of philosophy in the form of the question as to ivhat is the 
 fundamental "stuff" or "stuffs," the "material" or "ma- 
 terials," out of which other "things" are "made," or which 
 play the role of ultimate reality to other "things" as manifesta- 
 tions and appeara7ices. This is shown by the well-known an- 
 swers which were given to the problem, e.g., by Thales 
 (624-548 B.C.), that all was water, by Anaximenes (about 588- 
 534 B.C.), that all was air, and by Empedocles (495-435 B.C.), 
 that there were many fundamental materials, namely, fire, water, 
 earth, and air. Quite analogous answers to the problem are, 
 however, offered at the present day in both those monistic phi- 
 losophies which maintain either that all things are ultimately 
 psychical or spiritual, or that they are all material, and in those 
 pluralistic systems which hold that not one, but many irreducible 
 "stuffs" are in the universe. 
 
 These answers indicate, however, that there are other phases 
 of the ontological problem that strike deeper than does the 
 problem as to what is the fundamental stuff, material, or sub- 
 stance of the universe. Logically antecedent to this problem 
 are the questions (1) whether the universe is made up of stuff 
 or substance at all, rather than of events, or relations, or even 
 disembodied qualities, or neutral entities; and (2), if there is 
 anything ultimate, whether it is 07ie or many? 
 
 The ontological problem may have come first historically be- 
 cause of its psychological preeminence in the intellectual interest
 
 52 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 of the Greek race, and this priority it still possesses, since for 
 many the bare question, what ''things" ultimately are, quite 
 outranks in interest the question, ivhat ''things" do, or what 
 happens. 
 
 But to others the problem is of greatest interest because of 
 the practical bearing on life which certain specific solutions of 
 it are held to have. Thus, if investigation will only lead to this 
 result, many a person attaches a peculiar sanctity to the con- 
 clusion, e.g., that all "things" are ultimately psychical or 
 spiritual, — a position which is identical with certain idealistic 
 and theological doctrines. Indeed in this conclusion some find 
 the only ground or justification for conducting their lives in 
 accordance with certain ethical principles, especially those of 
 optimism, whereas a debasement and a pessimism would be 
 attached to the opposed conclusion, that all "things" are 
 material. 
 
 The ontological problem thus becomes not only prior in inter- 
 est, but also in procedure for many. The position is taken, that 
 law and order in the universe, and especially purpose, and a 
 victory of good over evil, can be guaranteed only if the universe 
 has a specific ontological character, — namely, that ultimately it 
 is all rnental or spiritual in its being. Others, on the contrary, 
 hold that the solution of the problem as to the law and order 
 and purpose of the universe should not in the least he made 
 dependent on the solution of the ontological problem. For, it 
 is argued, if the universe has these characteristics, then they 
 are ineradicahly there, whether the further character of the 
 universe be one of complete and exclusive spirituality, or of 
 materiality, or of something else. Still others contend, that, 
 while the ontological problem may be first historically, and also 
 psychologically — for some, — it nevertheless cannot be the first 
 to receive solution. The reason for this contention is the posi- 
 tion, held very widely in the philosophy of at least the last 
 hundred and fifty years, that the solution of all other problems 
 is dependent on the prior solution of the problem of knowing. 
 Thus, after this manner, many a philosopher maintains that, 
 indeed, no other philosophical problem can be satisfactorily 
 considered, much less solved, until a solution is found for the 
 question, as to ivhat is involved in the fact, that all things which
 
 THE ONTOLOGICAL PROBLEM 53 
 
 are known, even an ultimate "stuff," are in relation to a know- 
 ing process or mind. It is evident that those who take this 
 position regard, not the ontological, but the epistemological 
 problem as prior to all others, — certainly as a matter of method, 
 and perhaps, also, in respect to psychological interest. 
 
 However, at the present time, not all philosophers accept this 
 much protested priority of the problem of knowing, — indeed 
 not even as regards its psychological interest, and there is much 
 evidence to confirm such a disavowal. For the very outcome of 
 the study of the problem of knowing may be the conclusion 
 (1) that the fact that knowing is related to every known 
 "thing," has no bearing as to the character of what is known, 
 so that, (2) "things" can be genuinely known without previ- 
 ously ascertaining how, whence, and ivherefore we know them. 
 Such an absence of the prior investigation of the epistemological 
 problem has characterized the greater part of the development 
 both of common sense and of science. Indeed, ever since the 
 epistemological problem came to the fore in philosophy, espe- 
 cially with Kant (1724-1804), the larger part of scientific de- 
 velopment and discovery has been the work of men who have 
 ignored this problem, and who have contributed directly to the 
 detailed solution of other problems. 
 
 For a number of reasons, therefore, the ontological problem 
 is placed first in our list. It is a relatively simple problem to 
 state, if not to solve, and it arises very naturally in our reflective 
 thinking. It also came first historically. Stated broadly, how- 
 ever, in the form, Is substance ultimate, or are relations and 
 events and qualities f and, How is the less idtimate related to 
 the more ultimate? the ontological problem is part of a still 
 more inclusive problem, namely, the problem of cosmology. In- 
 deed, within this last problem there also falls the problem of 
 knowing, or of knowledge, since it may be asked, whether it is 
 not alone within a law-abiding universe, a cosmos, that knowing 
 has its ''place," its function, and its specific relations to other 
 entities.^ 
 
 » See Chap. XLIV, i.
 
 54 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 CHAPTER VI 
 
 THE COSMOLOGICAL PROBLEM 
 
 Briefly, this problem may be said to concern the question 
 of the order, the laws, and the organization of the universe. It 
 is the problem of Cosmos versus Chaos. More specifically it is 
 the question as to whether law and order, e.g., classes, series, 
 correlated series, and the like, are present among, or absent 
 from the universe, and, in the former case, what the character 
 and source of this law and order is. 
 
 Clearly, however, the logically prior problem here is whether 
 law and order are present in or ahsent from the universe, i.e., 
 whether the universe is a cosmos at all. For, if there were no 
 law and order, then it is clear that there would be no further 
 problems as to their character and source. According, of course, 
 to the prevailing scientific point of view, this prior problem 
 seems quite artificial, but it is, nevertheless, regarded as a 
 genuine problem by at least one contemporaneous philosophical 
 school. Thus the pragmatists and the modern humanists, the 
 romanticists, and some of the mystics, frankly contend, that all 
 that there is of law and order is what human beings "read 
 into," or impose upon a universe that is of itself chaotic, ca- 
 pricious, lawless, and orderless.^ However, whether those very 
 conditions that, on the one hand, permit of, and, on the other 
 hand, lead to, such an accession and imposition, are not them- 
 selves identical with law and order and cosmos, is a question 
 that is not considered by the philosophers of this school. 
 
 Opposed to this there is the position, which is much more 
 frequently taken, that law and order are '' resident'' in ''things," 
 and thus present to be discovered, whether by methods difficult 
 or easy, and notwithstanding that error may precede success. 
 Differing but slightly from this there is also the position, that 
 the source of all law and order is a single, infinite spiritual 
 Being, God, who is either the one substance of the universe, or 
 
 ^ E.g., James, Some Prohlems of Philosophy, Chaps. X., XIII.; and 
 Schiller, Studies in Humanism, 1907.
 
 THE COSMOLOGICAL PROBLEM 55 
 
 its creator, or its architect, or at least its legislator. Each of 
 these subordinate positions is taken as a result of the endeavor 
 to solve minor cosmological problems, or groups of problems. 
 
 The general cosmological problem is, however, the 7nost in- 
 clusive of all the philosophical problems. Thus, if there are 
 ultimate entities, one or many, that ynanifest themselves in other 
 things as appearances, there is the problem as to the relations 
 between and among these entities, both manifesting and mani- 
 fested, both realities and appearances. The cosmological prob- 
 lem thus includes the ontologieal. But it also includes the 
 teleological, the theological, the epistemological, the valuational, 
 and the psychological prrblems. For such questions as those 
 
 (1) as to the absence or presence of purpose in the universe, 
 
 (2) of the fact and character of the Deity, (3) of the relation 
 of knowing to that which is known, (4) of the fact and character 
 of values and worths, and (5) of the nature and function of 
 consciousness, are each directed to some specific problem con- 
 cerning one or more aspects of a universe that is a cosmos. A 
 good part of philosophy and science is to be regarded, therefore, 
 as aiming to solve the detailed problems of cosmology. 
 
 But there are also cosmological problems of more general 
 character than these last. Thus there is the problem as to 
 whether, by any possibility, the many laws of the universe 
 (assuming that there are laws in some sense) may not be merely 
 specific instances of one fundamental law, so that, side by side 
 with an apparent pluralism, there is a fundamental logical 
 monism. There is also the similar question as to whether there 
 is one fundamental law that applies to all entities. To this 
 there is, e.g., the affirmative answer, that causation is such a 
 law, and that all, indeed quite all the entities of the universe 
 causally affect one another, so that the universe is like, or, 
 indeed, is an organism." Or, is the universe patterned after the 
 model of a classification of plants and animals,^ with differences 
 yet with similarities, so that finally an all-denoting class-concept 
 is reached that denotes everything, even as "living being" is 
 the generic class for all plants and animals. And what is such 
 
 'E.g., in the philosophy of Fechner (1801-87) and of Paulsen (1846- 
 1908). 
 
 ' Aristotle, and, with certain limitations, Plato, and Spinoza.
 
 56 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 an ultimate siimmum genus, if it exists? Is it "existential 
 entity," with the physical and the mental as species, or is it 
 mere "entity," or "being," or "subsistent," with "existent" 
 and "non-existent" (such as, e.g., a perpetual motion machine) 
 as species ? 
 
 Or, again, if the universe is not organized either in this way 
 or as an organic whole, do its various basic laws form a complete 
 mutually implicative system, or, are they merely consistent with 
 one another,* after the model of the postulates (axioms) of 
 geometry? Or, finally, is the universe stratified, after a rough 
 analogy with the layers of rock in the earth, so that there are 
 certain entities, called logically subsequent, that are dependent 
 on others that are logically prior, but with the latter inde- 
 pendent of the former? If this is the case, then would not 
 each later "layer," as being something more than all the pre- 
 ceding ones, possess the positive freedom of following the law 
 or laws of its own positive peculiarities? For example, would 
 not life be "free unto itself," yet law-abiding at that level where 
 life first exists ? And would not a free will be the law of moral- 
 ity in that "stratum" where morality alone occurs, namely, 
 where conscious 'beings first form a society?^ 
 
 Each of these views can be found somewhere in contemporane- 
 ous philosophical literature, — a fact which indicates that, taken 
 broadly in a psychological as well as in a logical sense, they 
 constitute a list of solutions to a set of problems that concern 
 the nature of the cosmos. 
 
 But there are still other specific and very important cos- 
 mological problems. One of these concerns the question as to 
 the types to which the complex entities of the universe belong. 
 For example, are there not groups of individuals in the universe 
 that not only resemble one another, so as to form classes, but 
 that also have an order and form series, after the manner of 
 the positive integers in order of magnitude? Also, if there 
 are series, are there not relations betiveen series such that a 
 particular individual of one series is correlated with one and 
 only one of another series, after the manner of the correlation 
 of a particular velocity (of a moving body) with one and only 
 
 * The position of modern science. See Chap. XLI , vi. 
 
 • See Chaps. XLIII., v., and XLIV., n.
 
 THE TELEOLOGICAL PROBLEM 57 
 
 one particular instant of time? Another closely allied cos- 
 mological problem concerns the questions as to what entities in 
 the universe are strictly continuous in the precise scientific sense 
 of this term, and what ones are as strictly discontinuous. Are 
 there, also, both infinities and finitenesses? Which of these, 
 indeed, is the universe itself as a whole — in respect to, e.g., its 
 spatial and temporal characteristics ? 
 
 All of these are problems of cosmology that have for the most 
 part long persisted in both philosophy and science. However, 
 through recent investigations they have, in some instances at 
 least, received a seemingly definitive answer, while the princi- 
 ples and the logic discovered and used in their solution go far 
 toward solving the other prohlems of cosmology.^ 
 
 CHAPTER VII 
 THE TELEOLOGICAL PROBLEM 
 
 Stated briefly, the teleological problem may be said to concern 
 the question, whether or not there is purpose in the universe as 
 a whole, and, if so, in what sense. It is clear, however, that 
 this problem logically precedes the problem as to ivhat is the 
 source and origin of such purpose, since, if purpose were not 
 in some sense a fact, there could exist no question about its 
 origin or source. 
 
 However, for psychological reasons, these two problems are 
 frequently confused and their order reversed. The fact of pur- 
 pose in at least some sense undoubtedly becomes first known in 
 the realm of our own human desires, ideals, and deeds. Al- 
 though the analysis that is made of it in this sphere varies 
 somewhat, nevertheless, in general, purpose is held to involve 
 
 (1) the desire or acceptance of something not yet a fact as 
 
 (2) worth realizing in the future, and (3) the adoption of some 
 means to attain this end. But with the idea of purpose thus 
 once become present, its transfer to other realms is made with 
 ease, so that it soon may be held to characterize even the uni- 
 
 • See Chap. XLIII.
 
 68 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 verse itself as a whole. This specific transfer is accelerated, and 
 the order of the two problems as to the source and fact of pur- 
 pose is confused and reversed, if the conclusion has been previ- 
 ously derived, that the universe is a vast order and uniformity 
 of "things," a realm of law and adaptation, and that all this 
 demands an Orderer, a Lawgiver, even a Creator.^ For from 
 this conclusion there readily follows the conviction, that such 
 a Being is also a Purposer, and that the Cosmos is one great 
 system of means to the accomplishment of ends. Thus, without 
 prior and independent investigation as to whether or not there is 
 purpose in the universe as a whole, a positive answer to this 
 problem is derived from one of the specific solutions of the 
 cosmological problem, i.e., from the possibility of there being 
 purpose, the conclusion is drawn, that this purpose is actual 
 in the realm of existing "things." 
 
 If, now, for some, the teleological problem receives a positive 
 solution in this manner, it is clear that the further character of 
 the teleology that is accepted will depend largely upon the char- 
 acter of the cosmology from which it is derived. For in each 
 case here. Lawgiver, Source of law, Orderer, Purposer, on the 
 one hand, and universe, on the other hand, are held to be in 
 some sense apart."^ Thus, as one possibility, the two may be 
 regarded as distinct in the sense that, the universe having once 
 been made a Cosmos of law and purpose, the Lawgiver and Pur- 
 poser then withdrew, to leave His work alone ever afterward, 
 and, indeed, perhaps quite unable subsequently to interfere. 
 This position is Deism.^ Or it may be held, that the Lawgiver 
 and Purposer can interfere at any time, either to institute new 
 instances of law and purpose, or to withdraw old ones, so that 
 He is ever present and never remote. This view is one form 
 of Theism.* Both Deism and Theism, in that they are positive 
 
 * The Physico-theological argument. 
 
 * Cf . H. Hoflding, The Philosophy of Religion, pp. 14-05. 
 
 ' A product of modern scientific speculation as this developed into 
 18th century rationalism, and a position taken by a great many of the 
 philosophers of that (18th) century. See Leslie Stephen, History of 
 English Thought in the 18th Century, 2 vols.; J. G. Hibben, The Philosophy 
 of the Enlightenment. 
 
 * The position taken by most orthodox Christians and one whose apolo- 
 getics is found in the works of Kant, Berkeley, Leibniz, Descartes, 
 Aquinas, and a host of others. Galileo, Newton, and Robert Boyle were 
 theists.
 
 THE TELEOLOGICAL PROBLEM 59 
 
 solutions both of the cosmological and of the teleological prob- 
 lems, tend to accept a Being who is Himself prior in time to 
 that Cosmos which He is held io order, perhaps even to create, 
 but, at least, to use as a means to an end. 
 
 Opposed to these there is also the position in which the Or- 
 derer and Purposer of the universe is regarded as The Ultimate 
 Eeality, who is eternal in the sense of being timeless, and who, 
 as thus apart, manifests Himself in the universe of temporal 
 and spatial things. This view is a modified Theism, which tends 
 to become Pantheism.^ It is held to account logically for an 
 immanent as opposed to a transcendent or external teleology, 
 which is the position of Deism and the first kind of Theism, 
 
 Deism, Theism, and Pantheism are all in agreement, however, 
 in holding not only that there is order and law in the universe, 
 but also that this establishes the fact both of purpose and a 
 Purposer. They are in agreement also in holding that this Pur- 
 poser is external to that to which purpose is given, at least as 
 a means to an end, namely, the universe. The first two positions 
 maintain this very clearly, but the third position. Pantheism, 
 does so, also, since the manifestations of a Deity cannot be 
 identical with Himself as Manifestor, but must be numerically 
 distinct from Him. 
 
 However, it is quite evident, as has been said, that the teleol- 
 ogy which each of these three positions accepts, is entirely 
 subsequent to and dependent upon that specific solution of the 
 cosmological problem which holds that order and law demand 
 an Orderer. For, having once reached this last conclusion, it 
 is easy to attribute purpose to this Being in analogy to the fact 
 of purpose as we discover it in our own conduct. 
 
 But the situation becomes radically different, if the argu- 
 ments for such an Orderer and Purposer are invalid, for we 
 are then thrown back upon the bare question. Does purpose 
 characterize the universe quite hy itself and independent of any 
 entity that is. external to the universe? But through this ques- 
 tion the teleological problem leads at once to the further prob- 
 lem as to whether there are in the universe, side by side with 
 
 ' The position held by a Jargo number of the great philosophers of 
 history, notably Roger Bacon, Spinoza, Fechner, Schopenhauer, Hegel, 
 Bradley, and perhaps Royce.
 
 60 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 those entities which are non-values, such as the physical sciences 
 deal with, still other entities that are, in contrast, worths or 
 values.'^ Indeed, it may be asked, whether, if there is purpose, 
 this does not itself presuppose these value-entities? For, does 
 not purpose mean, ends deliberated about, chosen among, and 
 sought for, because they are ultimately worth while for them- 
 selves, and not merely as means to an end? Are not such ulti- 
 mate ends worths? Indeed, if some "things" are valuable as 
 means, does not this imply still other "things" that are valuable 
 as ends? 
 
 This question states the teleological problem in perhaps its 
 most modern form, but in a way that is, indeed, almost as old 
 as philosophy itself, since it is the very center around which 
 the philosophy of Plato turns, and the answer usually given to 
 it is affirmative. Just as, e.g., there are the realms, or fields, 
 of motion and of spatial extension, yet with the two not identical, 
 so it is maintained, there are the two realms of values or worths 
 and of non-worths, with the two quite distinct and different. 
 And further, just as it is conceivable that the laws of motion 
 are not of necessity "legislated" for moving things by an 
 external agent, but are of "the very nature" of moving 
 "things," so may values not come from without, but may them- 
 selves be entities or facts side by side with other kinds of facts. 
 But also it may well be that, just as one and the same entity 
 can be, e.g., both spatially extended and moving, so also can an 
 entity be a value in one realm or relational field, and a non- 
 value in another. Indeed it may be asked if this is not exem- 
 plified by such an entity as a picture, which, as a thing of 
 beauty, is in one relationship an ultimate aesthetic worth, but 
 which is also a physico-chemical complex of oils and pigments, 
 and as such a non-worth or physical fact. 
 
 However, whether or not one agrees with the positive answers 
 that are given to these questions, they nevertheless indicate 
 problems that strike to the very root of the teleological problem, 
 while in solution of them one may be led to the position, in 
 place of either Deism, Theism, or Pantheism, that there is in 
 the universe an efficient value- or worth-principle, and that this, 
 
 ' The position of Kant, Fichte, Herbart, and, among recent writers, 
 MUnsterberg ; see his Eternal Values, 1909.
 
 THE TELEOLOGICAL PROBLEM 61 
 
 rather than the Orderer, Lawgiver, and Manifestor of tradi- 
 tional theology, is "the power, not ourselves, that makes for 
 righteousness. ' ' ^ 
 
 Still other specific teleological problems concern the questions 
 as to (1) what the specific purpose of the universe is, if it all 
 has a purpose, and (2) whether or not there are entities that 
 are directly opposed to values, or goods, i.e., whether there is an 
 irreducible and ultimate Bad in the universe, — something not 
 merely non-value, but positive Evil. The first of these questions 
 may indeed indicate the proper method of approach to the whole 
 problem of purpose. For, might not the proposition, that there 
 are both purpose and a Purposer, perhaps be best established by 
 first ascertaining what the specific purpose of the universe is? 
 Historically, the happiness, the Avell-being, and the salvation of 
 mankind have each been regarded as the specific end "of all 
 creation," but at the present time there is a reaction against 
 such an anthropocentric point of view. 
 
 As regards the second question, concerning the reducibility 
 of evil, the fact of at least three different solutions indicates as 
 many specific subordinate problems. Thus it is asked, Is not 
 the ultimate character of all things good, so that evil is mere 
 appearance? The objective idealist answers "yes," since for 
 him everything else is "absorbed" into One Being that is good. 
 The evolutionist and pragmatist disagree with this solution, and 
 maintain that evil is relative to good, and conversely, and that 
 each is relative to the time and the circumstances, so that neither 
 is absolute. In turn the realist disagrees with this, and ad- 
 vances the view that evil as such is ultimate and indestructible 
 either by argument or by action, although the number of its 
 concrete instances may be decreased by fighting them with good. 
 
 ' Hoffding's position in the Philosophy of Religion, pp. 215-278.
 
 62 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 CHAPTER VIII 
 THE THEOLOGICAL PROBLEM 
 
 The teleological problem leads naturally to the theological 
 problem. Let there be order, regularity, and uniformity in the 
 universe; let there be an adaptation of one "thing" to another, 
 e.g., of the eye to light, of body-color to surrounding foliage, 
 and the like, and the question at once arises. Whence this order 
 and law, this uniformity, this adaptation? Do they not demand 
 an Orderer, a Lawgiver, an Adapter, even as the watch implies 
 a maker, the building an architect, the bridge an engineer? 
 That they do, is the answer given by the Deist, the Theist, and 
 the Pantheist, all of whom infer from the observed order and 
 law and adaptation, the existence of a Being, God, who is their 
 source. This argument for a Deity is called "the argument 
 from design. " ^ It is obvious, however, that it makes of the 
 Deity only the designer, the architect, or the engineer of the 
 universe, and not the creator of its matter and substance. 
 
 But further, the universe consists not alone of static, un- 
 changeable, resting "things," if, indeed, there are any such 
 "things" at all. Change, motion, and evolution are also facts, 
 and indeed may be universal. Then the question arises, Whence 
 comes this change, this motion, this possibly universal evolu- 
 tion? Who started all this process going, endowing it, at the 
 same time, perhaps, with order and law, whereby to fulfil a 
 purpose ? For must it not have had a starter, an initiator ? Is 
 not one billiard ball moved by another, and the cue ball in turn 
 moved by the arm of the billiardist? And does not food make 
 the player's arm move, while rain and plowing and soil produce 
 foodstuffs? And were not these happenings caused by other, 
 
 • An argument that is used by all who accept a positive teleology, 
 whether this be immanent or transcendent, and whether it leads to deism, 
 theism, or pantheism. Among those who Tise this artj^ument are Aristotle, 
 Augustine, Anselm in the Monologium, Thomas Aquinas, Berkeley, Leibniz, 
 Ficht?, Hegel, and Royce. 8ee the latter 's Religious Aspects of Philosophy, 
 188.') ; The Concept of God, 1897; Studies of Good and Evil, 181)8; Th0 
 World and the Individual, 2 vols., 1900, 1901, and The Problem of Chris- 
 tianity, 2 vols., 1913.
 
 THE THEOLOGICAL PROBLEM 6^ 
 
 earlier happenings, and these by still earlier ones, and so on 
 indefinitely far back? Where shall the stop be made or does 
 there seem to be no stop at all implied in this (infinite?) series 
 of causes and effects? 
 
 Two positions are taken in answer to this question, the one 
 holding that there is an end, the other, no end to this series. 
 The former is that solution which is accepted as the outcome 
 of the so-called "cosmological argument" for the existence of 
 God. There must be a -first cause, this argument runs, that is 
 itself uncaused, in order that it may be adequate to produce or 
 cause the "world" as a whole. It must itself be uncaused, 
 since, were it not, there would still be another cause "behind" 
 it, and so on, so that the problem is repeated until at last there 
 is reached a first cause which is not in turn effect. This cause 
 is "first" in the sense that it is either prior temporally to all 
 effects, or prior metaphysically in that it "underlies" and con- 
 ditions through all time all other causes and effects. In both 
 cases, however, such a first cause is identified with God.- 
 
 However, in addition to these several problems as to whether 
 or not there is an architect and possibly a creator of the uni- 
 verse, or a Being who started all "things" going, or one who 
 did this and v/ho also continually maintains "things" in a 
 certain order and to a certain purpose, there is the further aiid 
 related prohlem, whether or not there is a perfect Being, who 
 plays one or more of these roles, and who is complete in His 
 goodness, power, and insight. 
 
 There is no doubt that the view that there is such a Being, 
 and that this Being is God, is a most widespread one. There 
 is both the idea of a perfect Being, and the belief in His exist- 
 ence, or His reality. Yet in criticism of this belief it may be 
 asked, if we do not have many ideas to which there corresponds 
 no existent object. My idea of a perfectly frictionless machine 
 does not seem to imply the existence of such an object. No 
 more does our idea of universal justice among men mean the 
 actual attainment of this ideal. May it not be asked, therefore, 
 if the idea of and belief in a perfect Being prove that Being's 
 
 ' This argument is given by Aristotle, Augustine, Anselm in the Mono- 
 logium, Thomas Aquinas, Geulinx, Spinoza, Hegel, Ficbte, Bradley, and 
 many others.
 
 64 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 existence? The answer given to these questions by many is 
 "yes." For it is argued, that a Being perfect in many ways, 
 such as goodness and power, would still be imperfect were He 
 not also real or existent. In other words, that perfection implies 
 existence, is the reply given to him who doubts. ''Things" with 
 which we are commonly acquainted, even the whole universe, 
 are imperfect, it is argued, and these imperfect entities imply 
 the perfect. The imperfect leaf implies a perfect one as a 
 pattern or ideal ; the unjust act, a standard just one. We thus 
 at least have the idea of the perfect, though we cannot see, 
 touch, or hear this entity. And, since perfection is held to 
 imply existence, God, as a Perfect Being who is in some relation 
 to this imperfect world, must be concluded to exist.^ Without 
 raising the question at this point whether this "ontological 
 argument" is valid or not, one must admit that it is very widely 
 advanced and accepted, either clearly or obscurely, as are also 
 the teleological and cosmological arguments. 
 
 Science as such does not, however, concern itself with these 
 problems, taking merely an attitude of indifference toward 
 them, but many individual scientists, prompted by a wider 
 philosophic interest, do attempt solutions of them through the 
 use, perhaps, of scientific data alone. Most philosophers, how- 
 ever, have considered that science as such is not capable of giving 
 either proof or disproof of God's existence, but that both the 
 problem and the means for its solution lie in quite a different 
 realm of fact. In accordance with this view different lines of 
 proof are advanced. One of these argues from the historical 
 fact of an almost universal belief in a Deity and the effectiveness 
 of this belief, to the Deity's existence. This is the historico- 
 pragmatic proof.* Another line of argument bases its proof 
 on revelation/' However, both of these proofs can be reduced 
 to the ontological proof, — the historico-pragmatic proof, since it 
 substitutes for the idea of a perfect Being as "held" by the 
 hidividual, that same idea as "held" hy many, both historically 
 and racially; and the proof from revelation, because it argues 
 
 ' Anaelm, Proslogium, Chap. III., trans, by S. N. Deane; Descartes, 
 Discourse on Method, and Meditations. 
 
 * E.g., Father Tyrell, Lex Orandi, 1903; Lex Credendi, 1906. 
 
 ' The Apologists, such as Justin the Martyr, Tertullian, Origen, Augus- 
 tine, Aquinas.
 
 THE THEOLOGICAL PROBLEM 65 
 
 from the idea of God as given in revelation to revelation as 
 given by {an existing) God. In this second proof it is main- 
 tained that, if tradition is trustworthy, revelation also is, and 
 then, that God exists because, according to revelation, He asserts 
 His existence. Appeal is then made to the identity of God with 
 the Perfect Being, and from His perfection is deduced His exist- 
 ence and veracity. This veracity guarantees the truth of reve- 
 lation, and from this last there is in turn derived the trust- 
 worthiness of that tradition in which both the belief in God and 
 revelation have been handed down.° This is essentially the argu- 
 ment of both the Protestant and the Catholic churches, with 
 the difference, that the former rests its proof on the infallibility 
 of the Scriptures and the reliability of tradition, whereas the 
 latter bases its proof on what by its own philosophy is its own 
 exclusive, God-given ability and knowledge to interpret both 
 tradition and Scriptures correctly, and to distinguish truth 
 from falsity. 
 
 Each position is difficult to grapple with, since each logically 
 can deny to him who is "outside" and v/ho may doubt, the very 
 ability to get at truth, maintaining that this is given alone to 
 him who believes and accepts and is within the church. Also, 
 either position may be true, since truth is independent of proof, 
 while disproof of either is impossible, or, at least, difficult, since 
 attempted disproof of either position is possible only from a 
 standpoint that is ' ' outside ' ' the realm of that which it is desired 
 to disprove, and therefore gets no logical leverage. 
 
 The theological problem in its various aspects is one, there- 
 fore, that has arisen in the past and that still presents itself 
 for solution. Psychologically it is, perhaps, not a problem to 
 the unthinking adherent of some orthodox religion. But to the 
 reverent thinker and critic who does not hesitate to submit any 
 question to the examination of reason, and who holds that all 
 of mankind's beliefs and theories must be so subjected, it is a 
 most important problem. 
 
 • A. Sabatier, Religions of Authority.
 
 c 
 
 6Q HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 ft 
 
 CHAPTER IX 
 
 THE PROBLEM OF VALUES 
 
 The theological problems which have just been briefly Mis- 
 cussed are most intimately connected with the problem of values. 
 A value may be defined, tentatively, as anything that is desired 
 and accepted as an end to be attained, or as anything that brings 
 about the attainment of an end. For example, individual and 
 general happiness are values, as are also a clear conscience, con- 
 tentment, good health, all-round development, honesty, honor, 
 loyalty to friends, love, unselfishness, education, exercise, good 
 laws, and thrift and industry. Some of these, such as the last 
 five, may be means by which other values are attained. These 
 other values might therefore be ultimate ends or goods, and the 
 means to attain them be right ways or mediate values. This 
 may be the difference between the good and the right. 
 
 As already indicated, the problem of values is closely related 
 to the theological problem. It is, also, no less closely connected 
 with the teleologieal and the cosmological problems. For it may 
 be asked. Have not the order, the arrangements, and the exquisite 
 adaptations which we seem to discover in nature, been instituted 
 by a Supreme Being primarily for man's welfare, or for his 
 happiness and contentment, or, at least, for his strength of 
 character after much trial and tribulation? Do not all "things" 
 seem finally to lead to that which we regard as good or even as 
 best, so that they must have been meant for this purpose by a 
 Supreme Being who so intended and established them, and in 
 this way Jios revealed a proof of his existence and character? 
 
 In terms of the problem of value, therefore, God is that Being 
 who cares for the good and who also brings about the attain- 
 ment of or the tendency of "things" toward that which is good, 
 let this be human happiness, or contentment from well-doing, or 
 a life in heaven. Then God must himself he good. Indeed, it 
 may be, that He himself is the Good, and that to attain good 
 is to be one with God. But if He is good, and so cares for the 
 good, and brings it about, then must He also be a God who 
 knows and wills and has power.
 
 THE PROBLEM OF VALUES 67 
 
 This teleological argument both for God's existence and for 
 His nature is advanced. It is clear, however, that, leaving open 
 the question whether it is a valid argument or not, there would 
 be no occasion for making it, were one not convinced that there 
 is something of value, either as an ultimate end, such as happi- 
 ness and justice on earth, or as a means to these ends, such as 
 thrift and foresight, honesty and brotherly love. 
 
 But there is no denying that values are discovered. Thus, 
 e.g., we speak of that inherent worth of each personality or soul 
 which commands our respect, and our recognition of the princi- 
 ples of duty and justice. Happiness, too, seems to be, under 
 certain conditions, worth while of itself, and even more cer- 
 tainly do the sublimity and beauty of nature, as well as of 
 some of man's creations, such as the beautiful picture and 
 statue. Or, if these are not inherent worths, then they are at 
 least valuable as means to some end as a final value, and the- 
 essence of the situation remains the same. There are values or 
 worths, some ethical or moral, others assthetic; some are means 
 to ultimate ends, others are these ends themselves. Every-day 
 life in all of its relations of love, friendship, occupation, citizen- 
 ship, religion, art, science, and philosophy is based upon them. 
 Indeed, to deny values is to presuppose them — unless one's 
 denial be quite unmotivated. 
 
 The existence of values, then, is a fact that has been uni- 
 versally admitted by all people, of all times. Concerning the 
 relationship and classification of values, however, there is a 
 specific value-problem. Is there one highest value to which all 
 others are subordinate? Is there a highest ethical value? Ought 
 we, e.g., to make the attainment of happiness, especially of 
 others, our chief aim of life ? Or ought we to set the unflinching 
 doing of the right, even at the cost of pain and suffering, above 
 all else? Or, again, is the harmonious development of our mental 
 and physical nature that for which we ought chiefly to strive ? 
 
 Which standard shall we accept? Indeed, by what test ot 
 standard shall we be able to reach a decision in this issue between 
 standards? This, after all, is the important question. For, with 
 the ultimate value once decided, other values can be "measured" 
 by it. Yet it may be that there is no ultimate standard, or, at 
 least, not one that is known. For to know that there is a
 
 68 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 standard, and to knoiv what this standard is, are two distinct 
 "things." Or, there may be only a standard that changes from 
 generation to generation, even as it also differs from nation to 
 nation. Here, therefore, is another problem of values. It is the 
 problem, not of what the standard is, but whether there is an 
 absolute and eternal standard that is knowable, though perhaps 
 now unknown, or, whether there is only a changing standard, 
 created by the past for the present, but to be supplanted in the 
 future by that which grows out of this present. Here we have 
 the contrast and perhaps the conflict between Absolutism, on 
 the one hand, and Relativism or Evolutionism or Pragmatism, 
 on the other. 
 
 Yet, while it is admitted that we recognize values, accept 
 them, and act upon this acceptance, since we are concerned with 
 character, with happiness, with duty and the like, it is still to 
 be asked. Just what is a value? To exemplify and be specific, 
 let us ask, whether there would be happiness and character, if 
 there were no conscious human beings to be happy, to have char- 
 acter, and to seek these as ends? Or, do these values exist also 
 for other living beings than man ? However, even granted that 
 they do so exist, are they not limited to beings that are con- 
 scious, so that there may be desires, interests, and ideals f This 
 question is answered in both the affirmative and the negative. 
 Thus it is held that all values are in some way dependent upon 
 the presence of consciousness as this is found in living beings, 
 and that values are facts 07ily if there are beings that have 
 purposes and interests and ideals, and that use means for the 
 attainment of ends. This position is taken with reference both 
 to ethical values and to aesthetic values, such as beauty, in which 
 latter case it is not unconvincing. For is not that which is 
 accepted as beauty either in the concrete or as a standard of 
 beauty known to vary both with the individual and with the 
 nation or race, as is exemplified by the different Eesthetic 
 standards, e.g., of the European and the Oriental? 
 
 Is not beauty, therefore, dependent upon a subjective factor? 
 Is the picture beautiful except to the observer? By itself is it 
 not just so much paint and line? The completely subjective 
 view of the nature of value, thus suggested, is accepted by some 
 thinkers. By others, however, it is maintained that at least
 
 THE PROBLEM OF VALUES 69 
 
 certain values are quite objective, in the sense that they exist 
 quite independently of all desire, interest, and appreciation, — 
 indeed of all consciousness. For example, one may hold the 
 view, that there must have been value in the universe 'before 
 consciousness existed, in order that there might be at a later 
 stage that situation in which there is consciousness and those 
 values which are dependent on consciousness. 
 
 Accordingly we have the problem, Are all values dependent 
 upon consciousness, or are only some values so dependent; or, 
 are all quite independent of this entity? Several solutions are 
 given to this problem, and each has interesting consequences. 
 
 Thus, let us first consider the view that all values are wholly 
 dependent upon a consciousness. It follows from this position, 
 that there would be no values prior to the existence of con- 
 sciousness, — a conclusion that is not invalidated by the argu- 
 ment which maintains, on the one hand, that there always are 
 values, because there always is a divine consciousness, and, on 
 the other hand, that there is this divine consciousness, because 
 there are values. // all values are thus dependent upon a human 
 or an animal consciousness, and God is defined as that Being 
 who is identical ivith values, — a current definition — then it fol- 
 lows either that there is no God in the orthodox sense of the 
 term, or that God is man-made, or both. 
 
 However, as opposed to this extreme, subjectivistic view, it 
 may be, that there are some values which can be demonstrated 
 to be independent of all consciousness, so that the Deity may be 
 identified with that which is value in the universe. For the 
 conviction, that there exists or that there is actual in the uni- 
 verse, such a principle of the conservation or even of the 
 increase of value, may, after all, constitute the deepest and most 
 fundamental religious consciousness, so that there is a rational 
 defense of the belief in a Deity who is not a mere replica of 
 human personality, but who is a Being supra-personal, and 
 perhaps supra-conscious. 
 
 It remains to consider one more phase of the problem of 
 values, namely, whether Truth itself is not a value} Is it not 
 
 ' The pragmatists and humanists would say that it is. Cf. also W. 
 
 VVindleband, Wiile zur Wahrheit, 1909, and H. Kickert, Die Grenzen der 
 
 Naturwissenschaftlichen Be griff shildung, 2nd. ed., 1913} Miinsterberg, op. 
 cit.
 
 70 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 this, because, e.g., in searching for truth in the spirit of "truth 
 for its own sake" and quite regardless, as we may think, of 
 values and their fate, we are nevertheless seeking for something 
 that is of value? From this cannot the inference be, drawn, that, 
 because our valuing truth conditions our search for it, and 
 because truth is valuable, therefore truth is conditioned hy its 
 value, or by our attitude toward it ? 
 
 The reply to this inquiry is, that, while truth undoubtedly 
 is a value either quite for itself or because of its usefulness, or 
 both, nevertheless the value aspect of the truth does not con- 
 stitute the truth, but that the truth and the value are merely 
 two aspects of one and the same "thing" in different relations. 
 In support of this position it wall be admitted, that, e.g., one 
 and the same individual man may be a brother in relation to 
 one person, and a father in relation to another. Further, while 
 a father is not of necessity a brother, nor a brother a father, 
 these two characteristics are quite compatible in the same indi- 
 vidual. By the same logical principle, there may be, therefore, 
 "something" that in one relationship is truth, and in another, 
 value, so that not only is truth a value, but values, as known, 
 are truths. 
 
 To explain this further, let us assume that there is a world 
 of fact, with no minds or consciousness present in it. Let us 
 assume, next, that under certain conditions consciousness, 
 awareness, or "knowing" appears, and that accordingly our 
 world becomes known (as it really is) in certain details. When 
 there is this very specific relatio'nship between a knowing process 
 and that which is known, we will say that truth exists or sub- 
 sists. Yet it must also be granted that conscious processes can 
 take place, and yet this specific relationship be lacking, i.e., that 
 there can be error as well as truth. 
 
 Truth, then, is a specific relational state of affairs that sub- 
 sists between certain conscious processes and that which is 
 known. It can, perhaps, be defined only in a circle, namely, as 
 that relational complex which subsists when things arc known 
 as they really are. But this specific complex is also a value, since 
 either its attainment is desired or purposed, or it is a means to 
 something else that is desired. In other words, a certain relation 
 is, by itself, truth; but this relation may in turn be related to
 
 THE PROBLEM OF VALUES 71 
 
 something else even as, e.g., hrotJierliood is a relation that is 
 , related to sisterhood. Thus that relation which by itself is 
 V truth, is, in relation to purpose, also a value. 
 
 CHAPTER X 
 
 THE EPISTEMOLOGICAL PROBLEM 
 
 The discussion of the preceding chapter has already intro- 
 duced certain phases of the episteraological problem. Is truth 
 a value? And, if it is, what is to be inferred from this fact 
 regarding the further character of science, philosophy, and 
 common sense ? What is the nature of knowledge and of truth ? 
 Are they distinct from one another, and both in turn distinct 
 from fact; or, does knowing in some way itself ''make" fact? 
 Again, are truth and fact identical? What is the origin of 
 knowledge? Does it all come from sensation, or does some 
 knowledge have some other source? What are the limits of 
 knowledge? Are there realms to which we cannot penetrate 
 by either intellect, intuition, feeling, or sensation? These are 
 all special epistemological problems, around which, as a center, 
 most philosophical investigation of the modern period has 
 turned. 
 
 One of the most important of these problems concerns the 
 possible distinction between fact, knowledge, and truth. The 
 prevailing view in both science and common sense is, that fact 
 is independent of the knowledge of it, that knowledge is a 
 specific kind of mental process, and that truth is a relation of 
 "correspondence" between knowledge and fact. Accordingly, 
 a true idea is regarded as a sort of mental picture of that of 
 which it is an idea. 
 
 This view, however, is not only challenged now, but it also 
 has been frequently questioned ever since the time of the Eng- 
 lish philosopher, John Locke (1632-1704), who was its modern 
 sponsor. All philosophers do not accept the distinction between 
 fact, knowledge, and truth, and among those who do not are
 
 72 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 the pragmatists, the phenomenalists, and the idealists. Yet 
 each of these "schools" raises different questions concerning 
 the distinctness and the relation of these three "entities," and 
 thus each discovers specific epistemological problems. 
 
 The pragmatists, or, at any rate, some pragmatists, maintain 
 that the very nature of truth, namely, that which is sometimes 
 called the "correspondence" between an idea and its object, is 
 only the later experiencing of that to which the idea previously 
 "pointed." They contend that an "idea becomes true," and 
 that that which is commonly regarded as the independent object 
 is only the content and the product of an idea to which truth 
 has happened, because the idea has led to success and satisfaction 
 of one kind or another.^ The idea merges, as it were, into an 
 object, and, behold, there is truth ! 
 
 This point of view is not altogether easy to understand, but 
 a figurative description may help us to make the matter clear. 
 The position may be said to mean, that truth is "made" in 
 a single line of experience, of ideas, of purposes, and the like. 
 The opposed and usual position may, in contrast, be described 
 as the right-angled view. According to the latter there is one 
 series or line of ideas, and another series of facts, and between 
 the two, striking across at right angles, as it were, there is the 
 relation of correspondence. 
 
 A problem arises, therefore, because it is so difficult to under- 
 stand and especially to justify such a "copy theory," as the 
 "parallel line" and "right-angled view" may also be called. 
 For there is the question as to how, if we as knowers are on or 
 are identical with "the idea line," as we seem to be, we can 
 ever "get off" this line so as to compare it with, and thus dis- 
 cover that it is a copy of, "the object line." In the case of a 
 picture and its object one can do this, but one then has the two 
 entities before him, and readily discovers the "picture" — or cor- 
 respondence relation. But the critical question arises. How could 
 a picture itself discover that it is a picture, since it could never 
 get outside of or beyond itself, thus to look back and compare 
 itself with its object? Would not a third "point" be necessary, 
 on which to stand, in order to make the comparison and the 
 
 ^ E.g., James, Pragmatism, especially Chaps. II., VI., and VII. Cf. also 
 the works cited in the later discussion of Pragmatism in Chap. XXXIII.
 
 THE EPISTEMOLOGICAL PROBLEM 73 
 
 discovery? Then it may be asked, How can the ego, or the 
 knowing process, be successful in such an attempt, if the knower 
 is that very series of ideas which are supposed to be the "copies" 
 or ''mental pictures"? Is there any proof, or any way of prov- 
 ing, that an idea is in any sense a copy? Indeed, is it not an 
 unwarranted assumption, both of common sense and of science, 
 that such a relation in any way constitutes true knowledge? 
 This is the problem, and this the criticism made by the prag- 
 matist, who reaches the conclusion, therefore, that the truth of, 
 an idea does not consist in a "right-angled" correspondence 
 between the idea and its object, but that an idea J)ecomes or is 
 made true through that later experience in which there is some 
 sort of confirmation, successful working, and satisfaction.^ 
 
 The pragraatist, therefore, does not distinguish in the same 
 way as do some other philosophers, fact, truth, and knoivledge. 
 Fact, for him, is that which fits consistently into a system of 
 ideas whicii are made knowledge or truths by later experiences. 
 Fact is the content of that knowledge which thus becomes true. 
 And, finally, everything is ''experience"; for it is inferred that, 
 because everything that we mention, think of, and experience, is 
 mentioned, thought of, and experienced, no object can exist 
 apart from thinking and experience, and all objects are merely 
 content of experience or are, indeed, themselves experience. 
 Truth, knowledge, and fact are thus all reduced to a common 
 "something," experience, and in this respect do not differ from 
 one another.^ 
 
 The phenomenalists and the idealists agree to a large extent 
 with the pragmatists in this conclusion, although their mode of 
 approach is somewhat different. For both, facts or "things" 
 are "made" or constituted, at least in part, by virtue of their 
 relation to perception, or knowing, or, in general, to experience ; 
 i.e., since it is held that experience can never he eliminated from 
 the "things" which are experienced, it is concluded, that the 
 experienced world is constituted, in part at least, hy the experi- 
 ence, so that we are confined to experience (as regards that 
 
 * See James, Pragmatism, especially Chap. VI. 
 
 ' This position is taken by, e.g., Professor Dewey all through his writings 
 of at least the last thirteen or fourteen years; cf. the bibliography of 
 Chap. XXXIII.
 
 74. HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 which we experience). It is thus that the idealist argues that 
 the universe itself is psychical or mental* and the phenomenalist 
 that the knoivn or experienced world is psychical. But the 
 latter philosopher holds that there is also another, a possibly 
 non-mental world beyond, that never can ie known, since to 
 experience it is to alter it.'^ For both idealist and phenomenalist, 
 however, fact, truth and knowledge are mental in nature. In 
 \ this respect at least there is no difference between these two 
 ' philosophies. 
 
 All philosophers, however, do not agree with the three posi- 
 tions just presented. For example, the realist does not, and, 
 as he maintains, for good reasons. He agrees with the prag- 
 matist that truth may not be identical with a "picture-like cor- 
 respondence" between idea and object, and that at least some 
 ideas are tested for their truth by their outcome. But, against 
 the universality of this last doctrine the realist finds that, while 
 every idea has an outcome of some sort — an outcome presumably 
 satisfactory to some mind, especially when there is belief in the 
 idea — the mere outcome nevertheless fails to give the requisite 
 distinction between the true and the false. It is not the mere 
 /outcome, he finds, but the differeyice among outcomes that dis- 
 itinguishes the true from the false — a difference that may itself 
 Iwell be conditioned by the respective truth and falsity of that 
 which has an outcome. Truth and the test of truth, therefore, 
 may be two very different "things." The truth of an idea 
 may, indeed, be that very characteristic which conditions the 
 specific kind of outcome which is a successful test for truth, 
 when the idea is not antecedently held to be true. Thus con- 
 ditioned, this outcome in turn is of the kind that may serve as 
 a test for truth.® 
 
 From such discussions, given us by the pragmatists, another 
 , epistemological problem emerges. Is there an absolute truth to 
 { which our knowledge may approach nearer and nearer, though 
 \never reaching it? Realist, idealist, and phenomenalist for the 
 ■ most part agree that there is, and in this respect are "abso- 
 
 * For the subjective idealist the experience is that of a finite conscious 
 being, while for the objective idealist it is that of an absolute, divine, 
 conscious Being. Cf. Chaps. XXX., and XXXIV.-XXXVIII. 
 
 " For Kant and the Kantians, see Chap. XXIX. 
 
 ' See Chap. XXXIII., rv., and Chap. XLIV.
 
 THE EPISTEMOLOGICAL PROBLEM 75 
 
 lutists." But the pragmatist demurs.'^ For him, since truth 
 is "made" by a shifting, evolving experience in which success 
 and satisfaction may finally emerge, trut\_cfianges. It is rela- 
 tive to the time, the place, the nation, the sect, and even the 
 individual. Therefore there are 7nany truths, even though they 
 conflict, as is well illustrated by the "truths" of Christianity 
 and of Buddhism. For the pragmatist, both of these religions, 
 so far as they contain doctrines that succeed, or that have satis- 
 factory effects, are (theoretically) true. 
 
 The argument advanced for this view is two-fold. It is main- 
 tained, on the one hand, that, because experience "makes" both 
 truth and fact, and yet itself grows, changes, and varies, there 
 is also only a shifting truth and fact.^ On the other hand, it 
 is argued, that the very ideal of absolute truth, as well as all 
 tests therefor, and all the methods of proof, do themselves but 
 shift and vary, imbedded as they are in an ever-changing experi- 
 ence.^ 
 
 With this view the absolutist disagrees. For him there is 
 only one truth, one state of affairs, one set of facts, to he dis- 
 covered in each field. This position, he contends, is established 
 by the reductio ad ahsurdum of the opposite position, since to 
 claiyn that all truth is relative and shifting, is to presuppose that 
 this claim or position is itself an absolute and permanent and 
 not a relative and shifting truth }° But it is also argued, that, 
 since truth and fact may be independent of their tests and of 
 proof, there may be absolute truth and fact, although we have 
 no absolutely certain methods of identifying or "recognizing" 
 these in the process of obtaining knowledge.^^ 
 
 Truth, however, supposing there is one truth about each fact, 
 or each set of facts, consists of many truths. Truths form a 
 system. There is the problem, therefore, as to hoiv truths form 
 this system, how they are related, or what kind of system truths 
 form. Does, e.g., the relatedness of truths imply that each truth 
 is dependent upon other truths, so that it is impossible to get 
 
 '' E.g., James in his Pragmatism, Schiller in his Humanism, and Dewey 
 in Essays in Experimental Logic, 1916. 
 
 ^ James and Dewey, ibid. 
 
 ® Schiller, ibid. 
 
 '" Royce, " The Eternal and the Practical," Phil. Revieio, Vol. XIII., 
 p. 103 ff., and "Principles of Logic," op. cit.j cf. Chap. II., supra. 
 
 " Cf. Chaps. XXXIII., XLII., XLIV.
 
 76 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 at the truth about any one "thing" unless we also get at the 
 truth about all other "things"? Or, are truths related and yet 
 independent, so that it is quite possible to discover now one 
 truth and now another, as knowledge progresses? The first 
 view, that truths, because they are related, mutually depend 
 on and modify one another, like the parts of an organism, is 
 called the "organic" or "coherence" theory of truth/' The 
 second view may be called the pluralistic theory. Obviously 
 the basic problem here is again the question, whether relatedness 
 as such carries with it a mutually modifying action of related 
 terms on one another, or whether this is only sometimes the 
 ease, and thus presents a specific type of relation? ^^ 
 
 At this point, therefore, the further problem arises, if it is 
 not to the growth of our united social attempt to obtain knowl- 
 edge, rather than to the system of truths, that the organic view 
 applies, — while the system of facts, which we endeavor to know, 
 is pluralistic in the sense above defined. Indeed, is not even 
 this very difference itself a state of affairs that is a typical ease 
 of such pluralism ? 
 
 Truth, however, might either be an organic whole, or consist 
 of truths related to and yet independent of one another, and 
 yet there might be but One Truth, i.e., one system of truths.^'^ 
 But there would still be the problem as to how we can discover 
 or make certain that this One Truth has been attained either in 
 whole or in part, i.e., there is still the question as to what is the 
 test of absolute truth, and of genuine and certain knowledge. 
 Indeed to have such truth and knowledge, must we not have 
 an absolute test? But to have this must we not in turn have 
 a test for this test, and so on indefinitely ? ^^ Or could a test he 
 used to test itself f These questions are raised, and many an- 
 swers are given. Various tests for truth and knowledge are 
 advanced, but in every case more than one interpretation is 
 made of their character. Consistency, freedom from internal 
 contradiction, presupposition by attempted denial, immediate, 
 direct, and undeniable experience, subsequent verification, self- 
 evidence, and the inconceivability of the opposite, are among 
 the tests and criteria that are accepted and used, one or more 
 
 ** Joachim, The Nature of Truth. " See Chap. XLI., xv. 
 
 " Sec Chap. XXVI. " See Chap. XLI., ix.-xi.
 
 THE EPISTEMOLOGICAL PROBLEM 77 
 
 of them, by each of the several philosophies.^® Disagreement 
 exists, however, as to which of these tests is superior. But 
 against all other parties the pragmatist maintains that all of 
 these tests are but useful means to an end, or kinds of satisfac- 
 tion and success, and thus relative and not absolute. From this 
 he infers that truth itself bears, or is the same characteristic, — 
 namely, usefuhiess. 
 
 From this inference the absolutist demurs. He grants that 
 tests and testings may be fallible (though he usually insists upon 
 the high degree of probability of certain tests as absolute), but 
 he also maintains not only that there is an absolute truth and 
 an absolute state of affairs to be discovered, but also that these 
 may be actually revealed in certain instances even though abso- 
 lute proof of this is lacking. Truth and knowledge are inde- 
 pendent of proof, although certainty may not be, and one may 
 "really know," without being able to demonstrate that he does}"^ 
 Indeed, were this not the fact, then whoever advances the con- 
 trary position would be quite precluded from maintaining that 
 his position is itself true, unless it were absolutely established 
 by absolute tests and proof. 
 
 '" Still another epistemological problem emerges in the question 
 as to what is involved in the fact that knowledge and knowing 
 appear in many individuals. Is it not therewith necessitated 
 that these individuals are essentially alike? Must not their 
 knowing processes, their "thinking machinery," be quite the 
 same in order that they shall be able to get at the one truth, 
 or the one set of facts in each case? But how can these con- 
 ditions be attained, and where can they be found? Are two 
 individuals ever quite alike? Are not their sense organs dif- 
 ferent? Do they not, therefore, perceive differently? Are they 
 not also of different temperaments? Will they not, therefore, 
 rely upon different tests of truth, and start their arguments 
 from different convictions? Will even the same word convey 
 the same meaning to two individuals? With such obstacles as 
 these, how can there be any such thing as knowledge, which, by 
 / its very nature, should be the same for all? How can two iudi- 
 l viduals ever have one fact revealed to them in precisely the 
 
 '" See Chap. XV. 
 
 " See Chaps. XXXIII., XLII., and XLIV.
 
 78 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 same way, unless it be by pure chance? Will not one or the 
 other, perhaps both, distort it? 
 
 Both the individualistic position, thus suggested, and its 
 opposite are taken by philosophers. The problem is that of 
 the "universality" and common validity of knowledge, and of 
 the conditions for this. Both positions are compatible with the 
 view, that facts are facts, — to be got at if possible, — and that 
 there is but one system of truths, the attainability of which is 
 an ideal ; but they differ on the question, as to whether it is 
 possible to get at facts at all, or to attain to the one truth? In 
 the one position it is maintained that, while there are differ- 
 ences among individuals, this does not preclude likenesses and 
 identities in our "knowing apparatus," and that, relying upon 
 these, we are justified in further claiming that the ideal one 
 truth may, at least in certain cases, be attained. This is also 
 possible, since, although there may be no absolute test of absolute 
 truth, truth may be quite independent of proof and of testing. 
 The other and opposed position, if it will not admit of likenesses 
 in knowing processes in the midst of differences, has only one 
 recourse left. It must acknowledge complete individualism in 
 respect to intellect, moral judgment, and testhetic feelings and 
 appreciation. Each individual can rely only upon himself, and 
 that completely in each of these fields, with no apparent means 
 of bridging the chasm from one individual to another. 
 
 Destructive as this position seemingly is of all motives for 
 social intercourse and cooperation, it has, nevertheless, been 
 theoretically maintained now and then ever since the Sophists 
 first advanced it. But, it may be asked, Is not the means for 
 the refutation of this position rather freely offered by him who 
 argues it? If one cannot get beyond the individual peculiari- 
 ties and differences to that in which individuals are alike, as 
 they are supposed to be in their "pure reason," then, on the 
 one hand, why should one ever attempt to convince others of 
 the truth of the individualistic position? But, on the other 
 hand, if one makes this attempt, does he not therewith presup- 
 pose that there is something which is common to and alike in 
 individuals side by side with differences — something, namely, 
 that is "over-individual," even as reason is supposed to be? It 
 suffices to say, that the latter alternative is accepted by most
 
 THE EPISTEMOLOGICAL PROBLEM 79 
 
 philosophers, and that the first alternative is regarded as worthy 
 of little attention. Yet the problem must be regarded as a 
 legitimate one, with individualists and "antis" as the eon- 
 tending parties, and with various ramifications, from both posi- 
 tions, extending into the solutions given to other philosophical 
 problems.^** 
 
 Suppose it be granted, then, that, side by side with feelings, 
 desires, motives, and the like, which may be purely individual, 
 there are also reason, knowing, and knowledge that may be the 
 same in many individuals, there remain still other problems. 
 Hotv does knowledge arise? "What is its source? Using the 
 term "cognition" to designate all perception, memory, imagina- 
 tion, and reasoning processes, there is the problem, Does all 
 cognition have the same source? Does it all come ultimately 
 from, and is it all like in kind to, sensation? Or, is some cogni- 
 tion, notably reasoning, together with its principles, an inde- 
 pendent and peculiar kind and source of knowledge in con- 
 junction with, but different in kind from, sensation?^'* Two 
 positions are taken in solution of this general problem. Ac- 
 cording to one, namely, Sensationalism, all cognition, all knowl- 
 edge, comes from, and is but a transformation of sensation. Ac- 
 cording to the other, Rationalism, at least spwe knowledge does 
 not thus originate, but is reason's own peculiar contribution. 
 
 Empiricism, in the historical and narrow sense of the term, 
 either agrees with Sensationalism in '^ reducing" reason to sensa- 
 tion, or, if it does not go quite so far as this, at any rate denies 
 reason's independent ability to discover fact and to get at truth, 
 and allows it by itself only the function of vain speculation 
 and castle-building. However, we are all empiricists in the 
 broad meaning of the term, since experience of some kind must 
 be accepted as the one source of discovery. But historically 
 the term "empiricism" has been almost exclusively used to 
 designate the view, that hoth the source of all knowledge and 
 the test of all truth is ultimately sensation. Then the term 
 "rationalism" may be used to designate the position, opposed 
 to this narrow empiricism, that all experience, evei? sensation, 
 must be subjected to reason's test as the court of last resort. 
 
 " See Chap. XLI., vin. 
 
 " Bee Chaps. XLI., xiii., XLIII., and XLIV.
 
 80 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 Distinct in some ways from this problem as to whether reason 
 or sensation furnishes the ultimate test for truth, is the question, 
 whether reason reveals fact and reality to us, or only invents 
 schemes that are useful methods for the accomplishment of 
 practical results and purposes. Both positions are taken, the 
 former by the intellectualists, the latter by the "antis," and 
 ioth parties present arguments for their position, the anti- 
 intellectualists tliereby placing themselves in the embarrassing 
 position of using intellectual and rational means and principles 
 in order to establish the very position which denies the validity 
 of the means by which it has been established. One of their 
 arguments is that that analysis with which reasoning methods 
 are at least partly identical, leads to results that are self-con- 
 tradictory, and therefore false.^° Thus the claim is made that 
 only immediate and intuitive experience reveals fact, and that 
 the great fact revealed is that of an ever-flowing and ever- 
 changing universe, which intellectual analysis "makes" into 
 a manifold of unchanging elements or parts. Motion is the 
 typical case selected; and it is argued (falsely) that the analysis 
 of motion shows, that at every instant a moving body is at a 
 specific point, and so at rest — rest being tlie contradictory of 
 the "thing" analyzed, namely, the motion. Thus the conclusion 
 is reached, that only non-intellectual, non-rational methods, such 
 as intuition, appreciation, and feeling, reveal reality and fact, 
 and that accordingly we must be intuitionists, emotionalists, and 
 evolutionists. 
 
 The intellectualist opposes all this with the position that, 
 although non-rational processes may reveal fact, they are not the 
 only processes that do this. For it can be shown that reason 
 and intellect, and the methods of analysis in general, also reveal 
 reality, and that the falsifying character that is ascribed to 
 them disappears, if one but state tlieir analytical results 
 correctly,^^ 
 
 It remains yet to present one other, very important epis- 
 temological problem, upon the several solutions of which there 
 depend some of the most distinctive features of Idealism, 
 Phenomenalism, and Realism. This problem concerns the ques- 
 
 "" E.g., by Bergaon in Creative Evolution in any number of statements. 
 " See Chaps. XXII., XXIII., and XXIV.
 
 THE EPISTEMOLOGICAL PROBLEM 81 
 
 tion as to what is involved in or implied hy the fact, that every 
 reality, every fact, even every illusory object that is known, 
 thought of, conceived, mentioned, or perceived, and the like, 
 is a reality that is known, thought of, conceived, mentioned, or 
 perceived, so that any attempt to know a reality as it is as not 
 so known, is apparently doomed to failure. For, it is asked, Is 
 not the only world which we can ''get at," one that is related to 
 our knowing, or to our experiencing in some manner? There- 
 fore, is not the question, what the world is, as not so related, 
 incapable of solution, since to attempt to answer it is but ogavn 
 to relate the xcorld to some "knowing" or "experiencing"? The 
 difficulties of this situation constitute the so-called ''ego-centric 
 predicament." ^' 
 
 The possibility of a solution to this problem depends on 
 whether or not the fact, that all reality which is experienced is 
 related to an "experience" or an "experiencer," implies that a 
 difference is thereby made to the reality or the entity experi- 
 enced.-^ For, on the one hand, if the "experiencing" does make 
 a difference to or does affect the experienced reality in some way 
 other than to make it "experienced," then clearly unexperienced 
 realities are different from experienced ones, though we may 
 never be able either to know in what respects they differ, or, 
 indeed, experience them in any way. But, on the other hand, 
 if the "experiencing" makes 7io difference to the reality experi- 
 enced, then, of course, the reality is the same "when" experi- 
 enced as "when" not, and exists or subsists as quite independent 
 of experience, to be experienced only when those specific condi- 
 tions exist through which experience arises. In fact, objects as 
 experienced might themselves give evidence not only of their 
 own independence of experience, but also of the existence or 
 subsistence of still other objects that have never before been 
 experienced, at any rate in certain specific ways. 
 
 The second position is the one that is at least tacitly held by 
 the common sense man and by most scientists. It is not, how- 
 ever, looked upon with favor by many of those who are sophisti- 
 
 '' R. B. Perry, " The Ego-centric Predicament," Jonr. of Phil., Psych., 
 and Scientific MetJiods, Vol. VIII., pp. 5-14; also see The New Realism, 
 E. B. Holt and others, Introduction, and Perry, Present Philosophical 
 Tendencies, Chap. VI. 
 
 "' Cf. Chap. XXVI, on The Theories of Relations.
 
 82 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 cated in the ways of philosophy, and who find one reason or 
 another for maintaining Qiot only that "the world" is always an 
 experienced one, but also that "experience" affects "the world" 
 in some way and makes it what it is either in whole or part. 
 One may be of the opinion that the issue thus raised is to be' 
 easily settled by appealing to fact, and, indeed, each party seems 
 to think that it makes just this appeal. But the facts to which 
 the appeal is made are not simple, especially since such a means 
 of settling the issue only again repeats the difficulty of finding 
 a fact that is not experienced in some way.-* However, let it 
 be granted that all that we can perceive, think of, appeal to, 
 and the like, is thereby experienced — in some way ; and let it 
 be granted also — as it must be — that, in the case of all experi- 
 enced reality, the "experiencing" and the reality are related. 
 Then what follows from this experienced factf Can it be (cor- 
 rectly) inferred from the ever repeated presence of "experi- 
 ence" to "experienced fact," or from the mere fact of the 
 relatedness of experienced reality to "experience," that the 
 experiencing affects the reality? Assuredly not! This infer- 
 ence can be made only provided it is universally true, that, 
 because entities are related, they affect one another. But this 
 is the very question at issue. Does relatedness universally carry 
 with it, or imply, causal dependence and action ? Or is this the 
 case only with some instances of related terms? And if it is 
 thus the case, may not the relation in question, namely, that 
 between "experience" and "object experienced," be one of the 
 exceptions, so that we should be justified in concluding, with the 
 realists, that, although "experience" and "experienced entity" 
 are related, the latter is quite unaffected by the former, and is 
 experienced as if the experience were not present ? 
 
 Whether this conclusion can be established or not, it is, 
 nevertheless, one that is not accepted by most philosophers, 
 notably by the idealists and the phenomenalists. These phi- 
 losophers insist — unconsciously, perhaps, — that relatedness im- 
 plies dependence, or causal modification; and, secondly, that 
 experiencing is related to all realities experienced, i.e., re- 
 dundantly, that all (experienced) realities are experienced reali- 
 ties. From these premises are derived those consequences which 
 
 '* The ego-centric predicament again.
 
 THE EPISTEMOLOGICAL PROBLEM 8S 
 
 are identical with the main features of their philosophical 
 systems.^^ 
 
 However, as regards this procedure it is quite clear, that, if 
 it is assumed (1) that all related terms are mutually dependent 
 on and affect one another, and (2) that all realities are experi- 
 enced realities, and so are related to experience, then it follows, 
 of course, that all experienced realities are experience-modified- 
 realities. But it is also quite clear, that from this second 
 premise alone this conclusion cannot be correctly inferred. It 
 is correctly inferable only if this premise is taken with the other, 
 the major premise, namely, that all related terms are mutually 
 dependent on and affective of one another. It is only these two 
 premises together that imply that an experienced object is 
 affected by the experience of it, whereby it becomes the experi- 
 ence-object. 
 
 The question at issue between the realist and his opponents 
 is, therefore, whether this major premise applies to all related 
 terms, and so to the specific relational situation of "experience" 
 and reality. Accordingly it is important to ask hoiv the idealist 
 and phenomenalist endeavor to establish this premise or princi- 
 ple. The answer is, that there are certain instances in which 
 the related terms do seem to exert a causal and modifying influ- 
 ence on one another. Good examples of this are the mutual 
 dependence of the parts of any organism on one another, the 
 causal influence of physical masses in accordance with the prin- 
 ciple of gravitation, and the mutual induction between positive 
 and negative charges of electricity. Let the knowing, the ex- 
 periencing, the cognizing of an object be of the type of these 
 instances, — and that they are is precisely what the phenomenalist 
 concludes in generalizing from them as typical instances, — and 
 it then follows (1) that "things" '^ outside" of the "knowing" 
 and "experiencing" relation are different from what they are 
 "m" it; (2) that knowing and experience do affect things; and 
 (3) that the nature of "things" "outside" of this relation can 
 never be known, since to attempt to know "things" is to affect 
 and change them. In other words, it follows, on the one hand, 
 that there is a realm of unknowable, and not merely unknown, 
 things-in-themselves, and, on the other hand, that our world 
 
 " See Chaps. XXIX., XXX., and XXXIII.
 
 84 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 or universe — the only world that we know — is made what it is, 
 at least in part, by 'being known. 
 
 To the support of this conclusion the idealist brings what he 
 regards as the discovery of certain instances of related terms 
 that are constitutive of one another either partially or totally. 
 This seems to be the case, e.g., with dream-objects and, indeed, 
 with illusory objects in general, as it seems to be the case, also, 
 with color, odor, and temperature, — provided the world outside 
 our skins consists only of hard, fast-moving particles or masses. 
 Why, then, should not all experience be of this type that is 
 creative of its own content? Certain idealists unhesitatingly 
 conclude that this is the case, and there results either Subjective 
 Idealism, if the experience is that of human beings, or Objective 
 Idealism if it is the experience of a universal consciousness. 
 
 The realist opposes both of these conclusions and arguments. 
 For him, "things" depend upon knowing in no other way than 
 for being known; knowledge does not condition reality; and 
 epistemology is only psychologically prior to other philosophical 
 problems; i.e., one is first interested in the problem, only subse- 
 quently to arrive at the conclusion, ( 1 ) that knowing and experi- 
 ence do not make any difference to the "thing" known and 
 experienced, and so (2) are virtually separable from that 
 "thing." 
 
 The realist reaches this result by finding certain instances 
 of terms that are related to and yet independent of one another, 
 and by then looking for other instances. The knoivi7ig processes 
 of the idealist and the phenomenalist and the theories that they 
 propose as known and experienced ^'states of affairs" prove to 
 be excellent initial instances of this compatible relatedness and 
 independence. For, while the knowledge and the "state of 
 aft'airs" proposed as true — in their respective theories, are cer- 
 tainly related, it is nevertheless presupposed, as the very con- 
 dition for such a "state of affairs" being "the real genuine 
 one," that it is independent not only of the specific knowing 
 and experiencing process in the knowing individuals who main- 
 tain it, but also of any implied repetition of knowing in other 
 individuals. 
 
 Other instances of terms that are both independent and 
 related are found in the case of the points of space and the
 
 THE EPISTEMOLOGICAL PROBLEM 85 
 
 instants of time. Points and instants are absolute simples that 
 are not made up of other elements on condition that, if they were 
 so made up, there would still be some other absolute "simple" 
 which we should then call a point or an instant. But as "com- 
 posing" space and time respectively, these "simples" are re- 
 lated in a very definite way, namely, so as to form a series with 
 the same relations present as are found, e.g., in the series of 
 real numbers in order of magnitude. But no point is affected 
 hy heing related to oilier points on condition that, if it were, it 
 would be, not simple, hut complex, since it would then be hoth 
 itself and the affects thus resulting; or, it would be affected by 
 an infinite number of other points, and so would be infinitely 
 complex, and thus again presuppose ultimate, simple "ele- 
 ments" that would be the real points. Then it would be these 
 elements that would be related and yet independent in the sense 
 that they would not be affected by other elements. In a per- 
 fectly analogous way instants can be &hown to be independent 
 of one another, and yet to be so related so as to form that specific 
 series which is time. 
 
 Still other instances of cosuhsisting relatedness and inde- 
 pendence are as follows: Space as a whole is related to matter, 
 but is independent of it. Empty space is quite conceivable, and 
 is examined scientifically in geometry with no implication of 
 matter, or of physical forces. So also are matter, motion, and 
 change in general related to time, and time to them; but time 
 is independent of all these entities. The clock does not create 
 time, nor affect it causally in any way; it only measures time 
 in ^inits that are relative to one another, but time itself is not 
 relative. 
 
 If there are these cases of related and independent terms, 
 then can it be consistently argued from the fact of mere related- 
 ness, either that knowing modifies, or that it is in any way 
 necessary to the existence of, (known) entities? And also can it 
 be consistently maintained that, if all finite minds were anni- 
 hilated, there must still be, as necessary to the existence of the 
 universe, an "infinite" mind or spirit, analagous to a human 
 finite mind ? 
 
 For the realist the answer to these inquiries can only be 
 **No." For, if there is a single case of the knowing of a genuine
 
 86 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 and true "state of affairs/' then the knowing and the (com- 
 plex) entity known are, together, one instance, at least, of the 
 principle, that some entities are related and yet independent, — 
 and there may be other instances of this principle. This is the 
 paradox. "Things" are known and are related to the knowing; 
 but they are known as if they were not known. 
 
 But further, entities can become specifically related, and then 
 cease to be so related. Thus a moving body of a certain volume 
 occupies a certain space for an instant, and then no longer 
 occupies it. "Occupying" is the relation that is both gained 
 and lost. By this and innumerable other instances the realist 
 is supported in his contention, that "things" can get into and 
 out of the relation of being known without being affected 
 thereby, — which alone is the condition on which "things" can 
 be known as they really are, i.e., on which there can be genuine 
 knowledge. 
 
 But, still further, an entity in gaining and losing a specific 
 relation can retain its relations to other entities. Thus a man 
 can retain, his several blood-relationships, and yet gain new 
 relations of friendship. So also may an entity retain its several 
 relations to other entities, and yet gain that relation to an organ- 
 ism which is identical with being experienced in some specific 
 way. 
 
 These are instances of the evidence which the realist finds 
 in proof of his contention (1) that entities can be related and 
 yet be independent, (2) that specific relations can be gained 
 and lost, and (3) that, with this the case, other relations can 
 stiir persist. Especially does the realist maintain that these 
 principles apply to the knowing and experiencing situation, and 
 that thereby a solution is obtained for the ego-centric 
 predicament. 
 
 This solution is essentially the same logically as that which 
 is obtained in the analysis of space. A point of space cannot 
 be annihilated in order to determine what effect this annihila- 
 tion would have upon other points. But by an analysis that 
 leaves all the points in situ it is found that, as the condition for 
 a point being a point and not a complex, a point is related to 
 another point as if it were not so related, i.e., without being 
 affected in its simplicity by being related. Similarly, while
 
 THE EPISTEMOLOGICAL PROBLEM 87 
 
 knowing and experience cannot be annihilated in the instance 
 of a known and experienced object, it is discovered by an 
 analysis in situ, that, as the condition for there being genuine 
 knowledge in any specific instance, the object is known as if 
 the knowing were not present. This sohition is presupposed 
 even for that situation in which the opposed "state of affairs" 
 is asserted and claimed to be true, as it is in fact by the idealist, 
 the phenoraenalist, and by some pragmatists. For, notwith- 
 standing that these philosophers attempt to base their respective 
 positions on the insolubility of the ego-centric predicament, they 
 themselves tacitly solve it by an analysis in situ, when they 
 present specific states of affairs as true. 
 
 But further, wdth the realist presenting well-established ex- 
 ceptions to the position, that all "things" are what they are 
 because of their relations to other "things," his opponents 
 cannot maintain the universality of the theory of internal rela- 
 tions.-® One is thus relieved from the necessity of admitting the 
 positions frequently taken in epistemology, (1) that no problem 
 can be isolated, since it is related to, and so modified by, other 
 problems; (2) that we cannot know the truth about anything 
 until we know the truth about everything; and, (3) that truth 
 cannot be truth because it is a value. Contrary to these posi- 
 tions, which condition various specific tendencies in philosophy, 
 the evidence just considered shows it to be possible, (1) that 
 one problem at a time can be studied and solved; (2) that the 
 knowledge of the "things" involved in one problem will not be 
 changed by the knowledge of other "things"; and (3) that 
 truth remains truth, although, as related to appreciation, desire, / 
 and purpose, it is also a value. 
 
 The epistemological problem in its several aspects still per- 
 sists. In fact it is the problem that is most discussed in con- 
 temporaneous philosophy. But only one party thinks that it is 
 not a problem that is logically prior to all others, and this party 
 — the realists — takes this position because, having considered the 
 problem, it finds that, in order to know, one need not first fin4 
 the how or whence or wherefore of "knowing." 
 
 ="« See Chap. XXVI., ii., 2 and 3.
 
 88 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 CHAPTER XI 
 
 THE PSYCHOLOGICAL PROBLEM AND THE NATURE OF 
 CONSCIOUSNESS 
 
 The preceding section has already introduced us to the psy- 
 chological problem. Perception, thinking, knowing, and, in 
 general, experience, are undoubtedly facts of some kind, but, of 
 what kind, is the question. Already two fairly distinct answers 
 to this question have been found and to some extent examined, 
 especially as to their implications. By one group of philoso- 
 phers, the idealists, the phenomenalists, and the pragmatists, it 
 is maintained, that the cognitive consciousness is such that it 
 modifies, or even constitutes known and experienced objects. 
 This position is based on the assumption, that terms which are 
 related affect one another. Clearly this view makes of con- 
 sciousness, of knowing, of experience, the kind of "thing" that 
 can causally affect or even produce the object, and a term that 
 is a sort of substance is able to do this} By another group, the 
 realists, it is argued, that the basic condition for genuine knowl- 
 edge is, that the "thing" which becomes known shall enter into, 
 and, perhaps, pass out of the cognitive situation without being 
 affected thereby. This is possible only if the knowing is not a 
 substance, but a relation, or a dimension, or a quality, or, possibly 
 and indirectly, an event.^ Although there may be other sets of 
 conditions in which there is knowing, nevertheless there is much 
 evidence that the knowing situation arises when the complex or 
 simple entity that is to become known gets into certain specific 
 relations with another entity, i.e., with an organism having a 
 nervous system of a certain degree of complexity, and in a 
 certain physico-chemical condition. Knowing situations — at 
 least those with which we are best acquainted — disappear 
 when this specific complex disappears. But this means 
 that specific knowings appear and disappear. It follows that 
 knowing cannot be an absolutely simple term, since such a term, 
 
 ' See Chap8. XXIX., XXX., XXXIV.-XXXVIII. 
 * !See Chaps. XLl., xiv. ; XLllL, iii. and XI.
 
 THE PSYCHOLOGICAL PROBLEM 89 
 
 illustrated by a point and an instant, cannot appear and dis- 
 appear. Only on the hypothesis, therefore, that knowing is a 
 relational complex — of a specific kind, — and involving, of course, 
 a relation between terms, themselves either simple or complex, 
 can the experienced fact of the appearance and disappearance 
 of specific knowings be explained. 
 
 This is, in brief form, ''the relational view of conscious- 
 ness." It is one solution of the problem as to ivhat kind of an 
 entity consciousness is, and is held at the present time by a 
 number of philosophers.^ It is a view that is also quite com- 
 patiMe with the more orthodox position of experimental psy- 
 chology, that specific consciousnesses are events. For events are 
 themselves relational complexes, — e.g., a specific accelerated 
 motion is a series of velocities, — and relations can themselves he 
 related — as are, e.g., ''greater than" and "less than," brother- 
 hood and sisterhood. Therefore consciousness as an event could 
 be a complex of specific conscious relations that are themselves 
 related in a specific way. 
 
 This theory is also compatible with the view of a certain very 
 modern school of psychologists, that the important thing in 
 psychology is to study the objective manifestations, i.e., the 
 behavior of organisms.* For, ivhen there are specific physio- 
 logical conditions in this organic complex, and this in turn is 
 related in a specific way to the entities to be known, i.e., to the 
 stimulus, then the knowing is also present, perhaps as a char- 
 acteristic of the whole complex, organism a7id stimulus. Some- 
 thing occurs, something is done when this larger complex arises, 
 and this can be studied as the behavior of an organism stimulated 
 in a specific manner. The interesting corollary of this position 
 is, that the knowing can not, in all cases at least, be said to be 
 located within our bodies. Strictly speaking, it has no locus or 
 place or position. Its conditions have, but it has not. 
 
 "E.g., by F. J. E. Woodbridge, E. B. Holt, W. B. Pitkin, and by the 
 writer. 
 
 * See E. P. Frost, "The Belief in Consciousness," Jonr. of Phil., Psych., 
 and Scientific Methods, Vol. XIII., No. 10, and " Cannot Psychology Dis- 
 pense with Consciousness?" Psych. Review, Vol. XIV., No. 21; D. Miller, 
 "Is Consciousness a Type of Behavior?" Jonr. of Phil., Psych., and Scien- 
 tific Methods, Vol. XL, No. 8; E. A. Singer, Jr., "Consciousness and 
 Behavior," Jonr. of Phil., Psych., and Scientific Methods, Vol. XII., No. 9; 
 Watson, " Psychology as the Behaviorists view it," Psych. Revieio, Vo) 
 XHI., No. 20. Watson in his Behavior gives a complete bibliography.
 
 90 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 This view that consciousness is a relation is perhaps a difficult 
 one to grasp. Relations seem to be evasive, evanescent, indeed, 
 almost negligible "things." Yet are they not facts? And 
 should we hesitate to admit that consciousness in each specific 
 instance of its occurrence is a relation, or else a "new" dimen- 
 sion, if this conclusion is necessary in order to explain other 
 facts ? 
 
 However, many philosophers and psychologists hesitate to 
 accept this "relational" or "dimensional" theory, and indeed 
 historically it has not been a widely favored one. Consciousness 
 has seemed to be, perhaps, too tangible, "solid," and substance- 
 like, and to involve too much of a continuity and unity of 
 personality to be a mere relation or a dimension. Indeed, the 
 traditional view is, that empirically, both by introspection of 
 one's own mind and by observation of other minds, an entity 
 is discovered that is an ego, a self, a soul, a "something" that 
 is of absolute constancy, and anything hut a relation, a dimen- 
 sion, an event, or a disembodied quality. In fact, it is argued, 
 that absolute unity and constancy are necessary in order to 
 account for the continuity of personality and the unity of 
 knowledge, and that this finally demands a numerically simple 
 and indestructible entity somewhere in human consciousness.^ 
 Relations, it is contended, appear and disappear altogether too 
 readily to meet this demand, while complex entities, such as 
 specific dimensions, disintegrate, or, as existing, presuppose an 
 absolute unity to bind them together, and qualities imply some- 
 thing of which they are qualities, and in which they inhere. 
 Thus runs the argument of the opponents of "the relational 
 view," and their names include the great names in the history 
 of philosophy. 
 
 A very similar position has been advanced in modern days, 
 since the law of the conservation of energy and the theory of 
 evolution have dominated scientific thought, to establish what 
 amounts to a principle of the evolution and yet of the conserva- 
 tion of consciousness. It is argued (1) that consciousness is 
 so different from physical energy, that it cannot "come" from 
 or arise out of this, yet (2) that it is a fact and must come from 
 something; and, therefore (3) that there must be a preceding 
 
 " E.g., by Plato and Leibniz, and, perhaps, by Kant.
 
 THE PSYCHOLOGICAL PROBLEM 91 
 
 consciousness out of which it arises or is transformed. Thus 
 the position is derived, that there is either an all-permeating 
 universal, yet impersonal consciousness that exists in varying 
 degrees in animal, plant, molecule, atom,® and even electron, or 
 a great personal consciousness that "wells up" and is present 
 in ail "things," and is, perhaps, identical with God J 
 
 All this shows that the question of the nature of consciousness 
 is one of the main philosophical problems. Indeed, it is a very 
 pressing problem today in this period of revolt against many of 
 the traditional philosophical methods and positions. His- 
 torically, in reaching solutions of the problem, the "substance 
 view" of consciousness has been dominant. But this has been 
 the case primarily because of the influence of the Aristotelian 
 tradition, with its preeminent concepts of siibstance and cause. 
 
 The other psychological problems are more specific, and fall 
 within the realm of empirical psychology as this is carried on 
 by experiment and observation and by statistics. But this is 
 not to say that the more general and philosophical problem as 
 to the nature of consciousness is not to be solved by the use of 
 similar methods, or that the solution of some of these more 
 specific questions does not aid in the solution of this wider 
 problem. On the contrary, two at least of the specific psycho- 
 logical problems are espevrially important philosophically. 
 
 Whatever consciousness may ultimately he, we nevertheless 
 know some of the "things" that it does, and we have an em- 
 pirical classification of its different forms. Thus we speak of 
 knowing, feeling, and willing, or of cognition, emotion, and voli- 
 tion; of deliberation, instinct, and impulse; of attention, dis- 
 crimination, and analysis; and of perception, memory, imagina- 
 tion, and reason. 
 
 If, now, evidence is found for holding that consciousness 
 evolves along with the evolution of life, then the question arises, 
 what kind of consciousness was first. Was it sense perception, 
 or the mere feeling of pain and pleasure, or an "elementary" 
 will, and are all kinds of consciousness only gradual modifica- 
 tions or outgrowths of a first kind ? But these questions suggest 
 
 'E.g., by Paulsen, Introduction to Philosophy, trans, by Thilly. This is 
 also the position that is at least implicitly taken by most text-books on 
 psychology. 
 
 ^ The position of many objective idealists; see Chaps. XXXIV.-XXXVIII.
 
 92 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 others. Thus, instead of arguing, that in order to account for 
 consciousness in higher forms, notably in man, its presence must 
 be granted in the lowest forms, and even in atoms and electrons, 
 could we not start with what we directly find in the lower 
 organisms, namely tropisms, reflexes, organic discrhninations, 
 and the like, and then ask, if what we call consciousness in 
 higher forms is not merely a complex of these purely physio- 
 logical modes of behavior ? ^ 
 
 But there is a second psycho-philosophical problem. Certain 
 philosophical systems that are great not only in their influence 
 as philosophies, but also in their alliance with the dominating 
 religions of the world, find reasons for concluding that tlie whole 
 universe is ultimately conscious or spiritual in nature. What, 
 then, is the character of this universal spirit or consciousness? 
 Is it a self, an ego, a spiritual unity? Is it will, knowing, or 
 feeling? Or, if it is all three of these together, ivhich is domi- 
 nant, and what is the relation by which the three form one 
 relational complex? In answering these questions the great 
 idealistic or spiritualistic philosophers have differed and still 
 differ.^ 
 
 One further psychological problem must be mentioned be- 
 cause, through the solutions that have been given to it, 
 it has been of great influence on certain philosophical 
 systems. This problem concerns the nature of illusions, 
 of dreams, and of hallucinations, and is stated in the 
 question, Are, or are not, our dreams and especially the 
 things of ivhich we dream wholly "within our heads," wholly 
 in our "dream-consciousness"? And yet, it may be asked, are 
 not dream-objects quite real to us ivhile we dream them. Then 
 the further question arises, whether it might not be, that every- 
 thing in the universe, stars and sun and planets, this earth 
 and all that lives thereon, is but a persistent dream in which 
 we all share. Here one might still further ask, whether you 
 would not be only my dream-object, so that I would be all, and 
 all would be in mef This position, that everything except you 
 and me and other human beings, as spirits or souls, is a sort 
 
 ' This is done by, e.g., Jacques Loeb in Physiology of the Brain, and in 
 The Mechanistic Conception of Life. 
 • See Chaps. XXXIV.-XXXVIII.
 
 THE PSYCHOLOGICAL PROBLEM 93 
 
 of dream in which we all share, with dream "effect" following 
 dream ''cause" with regularity and according to law, is Sub- 
 jective Idealism. But what right, once thus started, to make 
 exceptions? To be consistent must one not also grant that all 
 other human beings are only one's own persistent dream? This 
 consistent position is Solipsism, 
 
 But the instances of normal illusions also set a similar prob- 
 lem. For example, the rails of the railroad are parallel, but as 
 we look down the track they appear to converge. Also, the 
 stick that is straight appears bent, if it is immersed in the water. 
 But can the rails actually be both parallel and not parallel, the 
 stick be both straight and bent? Are not parallel and not 
 parallel, straight and not-straight respectively contradictories, so 
 that in each instance each characteristic must exist at a different 
 place or locus? Much traditional philosophy and psychology 
 have solved these problems by making the "parallelness" and 
 the straightness in each case the real "objects," and by "put- 
 ting" the contradictory entities, i.e., the illusory appearances, 
 ifito some particular consciousness, thus identifying their esse 
 with their percipi.^'^ For their existence consciousness is held 
 to be necessary. Therefore, it is further asked. Is not conscious- 
 ness necessary for the existence of all "things," even of all 
 so-called real "things"? Could not they also be mere appear- 
 ances and exist in some personal consciousness, or, if not this, 
 then at least in some divine consciousness? This position is 
 again Subjective Idealism, or, carried to its logical conclusion, 
 Solipsism, 
 
 The reply to these arguments can be stated briefly, and, 
 indeed, on the principle, that one cannot lift himself by his 
 own boot-straps. If some "things" arc concluded to exist only 
 "in" consciousness, because other "things" do not, then it 
 cannot be consistently inferred, that these other "things" also 
 exist in consciousness. The scientific solution of the problem 
 of these normal illusions, — if illusions they are — is one that 
 cuts the very foundation from beneath that argument for 
 idealism which is based on them. This scientific solution is, 
 that the illusory appearances do not exist "in" consciousness 
 at all, but are real parts of that same world of which the real 
 
 *" £. g., by A. O. Lovejoy; see the refprences given in Chap. XLIII.
 
 94 HISTORICAL PROBLEMS OF PHILOSOPHY 
 
 objects are also parts. Rails and stick hy themselves are re- 
 spectively parallel and straight. But the complex, rails and 
 light, has the characteristic of convergence, and the complex^ 
 stick and water and light, the characteristic of bentness. Each 
 of these contradictory attributes has, indeed, a different locus 
 from that of the original object, but this locus may quite as 
 well be another part of the physical world as a part of a 
 consciousness.
 
 SECTION III 
 
 METHODS AND PROBLEMS OF METHOD 
 
 I. THINKING 
 
 CHAPTER XII 
 
 REASONING BY WORDS, AND THE PSYCHOLOGY OF 
 THINKING 
 
 I. INTRODUCTORY 
 
 In this section there will be considered the various methods 
 that are used in attempting to solve philosophical problems. 
 But, since these methods present problems of their own, we 
 shall have problems of method, in addition to problems of points 
 of view, of ontology, cosmology, epistemology, and the like. The 
 methods to be examined will, however, not be limited to those 
 that are correct, but will also include those which, though un- 
 sound, have, nevertheless, been frequently employed to solve 
 certain problems which have arisen in the development of certain 
 historical systems of philosophy. 
 
 II. THE THINKING SITUATION ^ 
 
 It is an important, although rather obvious fact, that all 
 philosophical systems, whatever their differences, must use 
 
 'Compare with the account that follows: E. B. LeRoy, La Langue, 
 1905; H. Odier, Essai d' Analyse Psych, du Mechanisme du Langdge dans 
 la Comprehension, 1905: H. Steinthal, Einleitung in die Psychologic und 
 Sprachivissenschaft, 1881; W. Wundt, Sprachgeschichte und kiprachpsy- 
 chologie, 1901 ; B. Erdmann, Psychologische Untersuchurtgen iiber das 
 Lesen, 1898; G. VVolil', Psychologic des Erkennens, 1S97; A. Binet, Psy- 
 chology of Reasoning, 1912; F. Brentano, Psychologic vom empirischen 
 Standpunkte ; K. 8. Woodworth, " Non-Sensorj' Components of Sense Percep- 
 tion," Jour, of Phil., Psych, and Scientific Methods, Vol. IV.: also, " Image- 
 less Thought," Jour, of Phil., Psych., and Scientific Methods, Vol. III., 1906; 
 and " The Consciousness of Relation " in Essays Philosophical and Psycho- 
 logical, in Honor of Wm. James, 1908; James, Principles of Psychology, 
 Vol. 1., p. 243 ff.; J. K. Angell, "Thought and Imagery," Phil. Review, 
 
 95
 
 g6 METHODS AND PROBLEMS OF METHOD 
 
 words in their processes of reasoning, since they are argued 
 about and defended, and are thus presented for our acceptance 
 as true. This is the case even in such an extreme position as 
 mysticism, where, it is claimed, intuition and ecstasy reveal 
 certain facts which reason cannot apprehend. When rationally 
 defended, even such a position is reasoned about by the use of 
 words, and thus the possibility that reason can discover at least 
 some facts is presupposed. The problem as to what is involved 
 in reasoning by the use of words, or of some kind of symbols, 
 is, therefore, a general problem of method that concerns all 
 philosophical systems in one way or another, and all philosophiz- 
 ing to some degree. 
 
 Common also to all philosophizing is the method of examining 
 the "world" about us by some mode of approach, i.e., either by 
 the senses, or by some other mode. But different individuals 
 accept different methods of approach, and the regarding of 
 anything as fact is made dependent on that which is antecedently 
 regarded as the correct approach. For example, the mystic 
 regards intuition as the one correct method, and so holds that 
 all-adsorbing miity which this approach reveals, to be the im- 
 portant fact, while the intellectualist finds that analysis and 
 reasoning are correct approaches, and that plurality and differ- 
 ences are quite as much facts as is unity. 
 
 Thus, in all philosophizing and in all philosophical systems 
 there are ttvo methods, the one, that of reasoning by words and 
 other symbols, the other, that of observing in some way, both 
 of which are accepted and used, and freely allowed to supple- 
 ment each other. Of these the former will be first considered, 
 since it is that method to which we are of necessity committed 
 in our endeavor to investigate philosophical problems, methods, 
 and systems. 
 
 III. THE PSYCHOLOGY OF THINKING; SYMBOLS 
 
 Words are by themselves only physical objects, i.e., they are 
 either printed or written marks, or, as spoken words, waves of 
 air. These objects are words in the usual sense by virtue of 
 
 Vol. VI., 1897; E. B. Titcliener, Eaperimental Psychology of the Thought 
 Processes, 1!)09; VV. B. rillsbury, The Psychology of Reasoning, 1910; 
 J. JJewey, IJoio We Think; B. Erdmann, " Umrissc zur Psycholofjie des 
 Denkena," in Phil. Abh. Chr. Bigioart zu seinem lOten Oehurtstage, 1900, 
 pp. 3-40.
 
 REASONING BY WORDS 97 
 
 being associated with certain specific mental processes, namely, 
 with those which reveal the objects or "things" that are experi- 
 enced when these mental processes are taking place. The 
 physical words are, then, symbols for these objects or "things." 
 It results, that when one perceives or thinks of certain specific 
 marks or sounds that are word-symbols, one also tends to be 
 conscious of the objects for which the symbols stand, i.e., to be 
 conscious of their meaning. This "meaning" consciousness, 
 therefore, and the consciousness of the words as such, become 
 associated, and thereafter, each tends to "arouse" the conscious- 
 ness of the other. But further, the consciousness of a meaning, 
 once aroused, arouses the consciousness of other meanings, and 
 so on, at the same time that the consciousness of the words for 
 these "things" is aroused, and there then occurs a series of 
 word-images, the earlier images suggesting later ones. Accord- 
 ingly, when we read or hear words, these suggest or arouse the 
 appropriate meanings, and when we think quietly, or speak, the 
 meanings seem to come slightly ahead of the words, and to 
 suggest them. 
 
 Three aspects, therefore, are to be distinguished in the situa- 
 tion presented by the use and meaning of words. There is 
 (1) the psychological aspect, Avhieh concerns the consciousness 
 both of the word-symbols and of the objects and meanings with 
 which they are associated; (2) the grammatical aspect, and, 
 (3) the logical aspect, which merges into the grammatical, and 
 conversely. These last two aspects are, of course, also most 
 intimately connected with the first aspect, since logical and 
 grammatical facts are known and have word-symbols associated 
 with them. 
 
 The psychological processes with w^hich we are concerned are 
 classified as follows : Consciousness, or psychic or mental process, 
 is the genus, and its three main subdivisions are: cognition, 
 emotion, and volition, or, using synonyms, knowing, feeling, 
 and willing. The meaning of each of these is sufficiently well 
 known to the reader not to demand a discussion. Knowing may, 
 however, he defined as awareness. 
 
 Cognition is in turn classifiable into its specific kinds, namely, 
 sense perception, memory, imagination, and conception, and 
 there are, in turn, as many kinds of each of these processes as
 
 98 METHODS AND PROBLEMS OF METHOD 
 
 there are specifically different senses, namely, sight, hearing, 
 "equilibrium," touch, taste, smell, and the "heat," "cold," 
 "muscular," and "organic" senses. This means that, with dif- 
 ferent kinds of sense perception, also memory-, imagination-, 
 and conception-processes can take place in terms of each sense, 
 although vision, hearing, touch, and muscularity are the 
 dominant senses. 
 
 There are also processes of self-perception, or of introspec- 
 tion, that do not take place through the medium of the special 
 sense organs. In this process of self-perception we become 
 aware that we are perceiving, remembering, imagining, con- 
 ceiving, willing, having emotions, and the like. Thus self- 
 perception also furnishes material or content for subsequent 
 processes of memory, imagination, and reasoning. 
 
 This classification of cognitive processes means that all sorts 
 of entities, such as things, qualities, events, and relations, can 
 be perceived, remembered, imagined, conceived, judged, and 
 reasoned about. Some of these entities are physical, others are 
 mental, while still others belong to neither of these two classes. 
 Among these non-physical and non-mental entities are terms, 
 qualities, relations, and perhaps also events, luhich our reason 
 shows us would still he facts, even if all physical and mental 
 entities were annihilated. A good example of such entities, 
 which may be called (non-existent) subsist ents, are the positive 
 integers, 1, 2, 3, n — 1, n, n -f- 1, — not these physical marks, of 
 course, — hut that which these signs symbolize, and that which is 
 presupposed, biit not made by counting. 
 
 Written, printed, and spoken words are used as symbols or 
 signs by which to indicate both specific individuals and specific 
 classes of individuals, and classes of these classes, and so on. 
 To illustrate this, and at the same time to give examples of 
 some of these classes of entities, the reader's attention may be 
 called to the fact that he can now experience, by introspection, 
 a series of (existent) mental processes as he visually perceives 
 these very words (physical existents). Thus his experience is 
 at least twofold. However, words or symbols that are used in 
 reasoning can be known in any one of the several cognitive 
 processes, and not alone in sense perception; i.e., there are 
 remembered, imagined, and conceived, as well as perceived
 
 REASONING BY WORDS 99 
 
 words. Words read are visually perceived, and words heard are 
 perceived in hearing. But tvJien we reason in order to write or 
 speak, we tend to formulate our thoughts in words that are 
 conceived, though, as ive ivrite or speak, and see and hear, there 
 are also perceived words. But any kind of a word can be 
 associated with any particular object or class of objects that is 
 brought to our knowledge in any way whatsoever. Thus we 
 have words not only for what we perceive in sensation and in 
 terms of sensation, but also for what is revealed in our reasoning 
 processes and in our emotions and acts of will. 
 
 IV. GRAMMAR 
 
 The differences among the entities that we perceive, remember, 
 imagine, and get at by reason, or become aware of emotionally, 
 as in cesthetic and moral feeling, and the like, receive a certain 
 recognition in the grammatical distinctions and differences of 
 language. Thus, nouns for the most part symbolize ''things" 
 and qualities; verbs, prepositions, and conjunctions symbolize 
 events and relations; and adjectives and adverbs, qualities or 
 attributes. The grammatical structure of sentences also ex- 
 presses and reveals to a certain extent the relations between and 
 among the entities to which our judgments, as psychological, 
 knowing processes, are directed. In general, grammatical dif- 
 ferences correspond to objective characteristics of the entities 
 that are symbolized b}^ the words, and that are known in the 
 judgment which is verbally formulated. 
 
 CHAPTER XIII 
 
 THE LOGICAL ASPECTS OF THINKING 
 INTERPRETATIONS OF THE NATURE OF LOGIC 
 
 We use our senses to perceive, we remember, we have emo- 
 tions, and we describe what is thus revealed to us, but sometimes 
 we do more than this. We reason about "things." It is a most 
 important question, then, to ask, What is it, when we reason, by
 
 100 METHODS AND PROBLEMS OF METHOD 
 
 virtue of tvhich we are enabled to do this? or, Just what do w& 
 do when ive reason? 
 
 As at least a tentative answer to this second question it may 
 be said, that to reason is to infer, or to learn from something 
 that is known, something that was previously unknown. To 
 reason may also mean to systematize, and to ''put" many 
 "things" together consistently, as is done, e.g., in any science, 
 though to do this seemingly demands reason in the former 
 sense. 
 
 But the first question is more important for our purposes 
 than the second, which concerns only the psychological char- 
 acter of reasoning. What is it in or among the entities that 
 we reason about that enables us to infer? The answers given to 
 this question have been both varied and involved. Among them 
 three principal tendencies are distinguishable, namely, the 
 realistic, the psychological, and the pragmatic. These are the 
 three main views as to the nature of logical principles and 
 entities. All three agree that we reason by using in some way 
 the peculiar, interesting, and very important relation of implica- 
 tion, but they differ in their interpretation of the nature and 
 locus of this relation. 
 
 I. THE REALISTIC VIEW OP LOGIC 
 
 According to the realistic view, implication is a relation that 
 is objective in the sense that, although related to, it is inde- 
 pendent of, the reasoning process that is, in part at least, an 
 awareness of it. Just as there are relations of similarity, of 
 difference, and of whole and part, so also, it is held, there are 
 relations of implication, or of the non-causal, yet necessary con- 
 nection between "things." By discovering and making use of 
 these relations in specific instances, we discover other relations, 
 and from certain entities, other entities} 
 
 Just what all the typical situations are that present the rela- 
 tionship of implication, is difficult to determine, but the follow- 
 ing is a simple illustration of one such situation: Among the 
 entities that are discoverable in this universe of many entities 
 are relations, as has already been emphasized. Instances of 
 relations are "father of," "equal to," and "precedes." If, 
 
 ' See Chap. XLI.
 
 THE LOGICAL ASPECTS OF THINKING 101 
 
 now, the terms that are related are symbolized by a, h, c, etc., 
 then we can have the relational complexes, respectively, a the 
 father of h, a equals h, and a precedes h. However, it would 
 seem that none of these relations subsists without, in each case, 
 another and distinct relation also subsisting, this other relation 
 being the inverse, or what is sometimes called the converse of 
 the original. But at the same time that this inverse relation is 
 distinct from the original relation, it is also necessitated by it, 
 though not in a causal, but in a logical manner. This specific 
 logical necessity is an instance of implication. Thus, in the case 
 of one of our examples, "father of implies or necessitates the 
 inverse relation, "child of," and these two relations are not 
 identical. So also a = b implies that h =^ a, and "a precedes 
 b" implies that "ft follows a." In general we may say that 
 every relation implies its inverse or converse.' 
 
 This being so, we have a most interesting situation. The 
 proposition just stated means that, with the original relation 
 aBh given, there is of necessity the inverse relation, hRa. But 
 this means that aRb and bRa are themselves related both by 
 implication and by "inverseness." Then, if the proposition 
 above stated is correct, each of these relations also implies its 
 own inverse. But this is precisely what we find. The relation 
 of implication that subsists in that aRb implies bRa, itself 
 implies the inverse, namely, that "bRa implies aRb, i.e., "aRb 
 implies hRa" itself implies "bRa implies aRb.'* 
 
 This situation need not be analyzed further for our purposes, 
 for the analysis thus far made discloses the fact, both that the 
 relation of implication subsists in the midst of, or side by side 
 with, or on the basis of, other relations, perhaps of very specific 
 ones, and also that it is itself a basis for still further relations. 
 
 Another situation in which we find the relation of implication 
 cosubsisting with other relations is one that is identical with 
 the orthodox categorical syllogism of the Aristotelian formal 
 logic." 
 
 The traditional logic of Aristotle is essentially the logic of 
 classes. A class subsists by virtue of the relation of similarity, 
 together with, in most cases, that of difference among entities, 
 and quite independently of their order. This is quite evident 
 
 =■ Cf. Chap. XXVII. ' Cf. Chap. XIV.
 
 102 METHODS AND PROBLEMS OF METHOD 
 
 when we consider simple examples such as the two classes, 
 men and vertebrates. Any one individual of the class is in the 
 relation to the class of being ''a member of" it. But classes 
 are themselves related by complete, partial, and negative inclu- 
 sion (i.e., exclusion). Thus, to illustrate, all mew are included 
 in the larger class vertebrates, but the class vertebrates is only 
 partially included in the class men, and, finally, the whole class 
 vertebrates is excluded from the whole class triangles. Such 
 relations of similarity, difference, member of, and inclusion, 
 positive and negative, between entities are, now, propositions, 
 or objective ''state of affairs," and the knowledge of such rela- 
 tional complexes is in each ease a judgment. 
 
 One and the same class, further, can be in one relation to one 
 class, and in another relation to another class. Thus the class 
 vertebrates includes the class men, but is included in the class 
 living beings. With this specific state of affairs subsisting, there 
 also subsists of necessity the relation of inclusion of the class, 
 meyi, by the class, animals. This relation is numerically distinct 
 from the other two relations of inclusion, namely, of men in 
 vertebrates, and of vertebrates in animals, yet it is related to 
 them. It is, first, similar to, and, second, implied by them. 
 Thus we have another case of the relation of implication "resting 
 on" other relations between terms (in this case those of in- 
 clusion), and of still another relation or relational complex 
 resting on it. In the example just given, if we let S symbolize 
 the class (all) men, M the class (all) vertebrates, P the class 
 (all) living beings, < the relation ''included in," and ) the 
 relation of implication, then we have S <. M and M < P, ) 
 8 < P. This relational situation holds good for any classes, 
 8, M, P, that are related to one another as are the classes, men, 
 vertebrates, and animals. 
 
 In a very similar way the relation of complete exclusion of 
 a class 8 from a class P is implied by the two relations (1) of 
 the complete inclusion of the class 8 by M, and (2) of the com- 
 plete exclusion of 31 from P. Thus, to illustrate, if all proposi- 
 tions are included in the class of analyzable entities, and all 
 analyzable entities are completely excluded from the class of 
 simple entities, it is implied, that all propositions are excluded 
 from the class of simple entities.
 
 THE LOGICAL ASPECTS OF THINKING 103 
 
 Other instances of the relation of inclusion, complete, partial, 
 or negative, between two classes ''at a time," are discoverable, 
 and the several relational complexes that thereby subsist, taken 
 in pairs as premises together with the propositions which they 
 imply, make tip the several moods of the four figures of the 
 Aristotelian categorical syllogism. The detailed examination of 
 these moods and figures may be found in any text-book on logic, 
 and need not be presented here. 
 
 There are a number of other, perhaps many other situations 
 in which the relation of implication is present. But the instances 
 given will, it is hoped, make clear what the realistic position 
 is in regard to the problem of what it is (in the situation rea- 
 soned about) that enables us to reason, or that we discover and 
 become aware of when we reason. The solution of this problem 
 is, that, just as there are "things," qualities, events, and such 
 relations as membership in, similarity, and inclusion, so also is 
 there the relation of implication, which, if the former entities 
 are objective and discoverable, is also of this same character.* 
 
 There are many further questions, some of them of extreme 
 interest, concerning the problem of implication. Thus, if cer- 
 tain relations are implied by others, which we find to be the 
 ease, then it may be asked, whether implication is itself implied, 
 or whether it merely occurs as one among many relations, i.e., as 
 one that accompanies, but is not necessitated by other relations. 
 The writer is strongly convinced that the second alternative is 
 the ease. 
 
 Although all the circumstances that surround and perhaps 
 condition implication may be difficult to discover, nevertheless 
 the realist holds that to reason correctly, even in the study of 
 the reasoning situation itself, is to discover (objective) relations 
 of implication that are independent of the reasoning process, 
 though related to it. For example, there are i7idividual 
 
 * The problem of the nature of implication, the circumstances of its 
 occurrence, etc., have not as yet been given much attention in philosophical 
 investigation, although Russell has dealt with it somewhat in his Principles 
 of Mathematics. The objective view here presented agrees, e.g., with that 
 of G. E Moore in his article, " The Nature of Judgment," Mind, N. S., 
 Vol. VIII., p. 177 ff., and is accepted, I believe, by all realists. Cf., also, 
 on the realistic interpretation of logic and a criticism of the psychological 
 and pragmatic tendencies, Husserl, Logische Untersuchungen, especially 
 Vol. 1., 1900, and Vol. II., 1901.
 
 104. METHODS AND PROBLEMS OF METHOD 
 
 "things," that, through the relations of similarity and differ- 
 ence, form distinct classes. Then there are also the objective 
 states of affairs of both similarity and difference. But in turn 
 there are classes that are related to one another by inclusion, 
 i.e., if A, B, and C are classes, and < symbolizes the relation of 
 inclusion, A < B, and B <. C. Then, discovering and following 
 the "threads" of implication, we discover that A <.C. This 
 is typical of that situation which is present when we reason 
 by what is called the categorical syllogism. 
 
 The categorical syllogism, however, is not the only technical 
 method of reasoning. There are also other methods, which will 
 be presented later. Yet in regard to all of them the realistic 
 position is the same. Not only are indiviO.ual "things" inde- 
 pendent of knowing, but relations also are, not excepting those 
 relations of implication which must be discovered when we 
 reason and reason correctly, and by the discovery of which we 
 are enabled to ascertain from certain facts other facts that are 
 necessitated by the facts from which we started. 
 
 Indeed it is precisely this objective point of view that is at 
 least tacitly accepted by every philosopher when he reasons in 
 order to philosophize. Every philosopher aims to arrive at or 
 to discover "large" general facts or states of affairs that are 
 quite independent of his own or anybody else's knowing proc- 
 esses ; and in presenting his philosophy for acceptance, he tacitly 
 assumes that he has succeeded. In this respect every philosophy 
 is realistic. 
 
 Eeason may not be the only "method" by which facts are 
 revealed. Sense perception, memory, emotion, and intuition 
 must also be admitted to be such avenues of approach. But 
 reason alone is that method by which these other methods can 
 be examined, and a conclusion as to their reliability and char- 
 acter be obtained. Also it is reason alone that can thus examine 
 itself. Reason is, then, the court of last resort. Indeed it is 
 accepted as such even by those philosophers who write books 
 in advocacy of anti-rational positions. Thus, e.g., the mysticism 
 of a philosopher like Bergson can he ratio)ially supported only 
 by intellectual methods. 
 
 The foregoing analysis presents the realistic view of that 
 situation which is involved in any attempt to reason and to
 
 THE LOGICAL ASPECTS OF THINKING 105 
 
 philosophize hy the use of words. Words are the conventional 
 instrument for this thinking, and for testing its correctness by 
 communication with others. But that for which certain words 
 and phrases are the signs is not the concrete individuals, nor 
 the consciousness of these, but the various and diverse states of 
 affairs that hold of these individuals. Certain of these states 
 of affairs are logical, or involve logical entities, including im- 
 plication, and when these are discovered, the way is clear to 
 discover other "things" or entities. 
 
 II. THE PSYCHOLOGIZING TENDENCY 
 
 The realistic position, that logical entities are objective and 
 independent of reasoning processes is, however, not accepted 
 by every one. It is certainly not the traditional view. 
 
 The traditional logic is, as we have seen, the logic of classes, 
 of things, and of qualities. In it the paramount "principles" 
 are those of identity and of contradiction, and these are made 
 "laws of thought," or psychological and subjective principles. 
 To make this statement clear, let us consider, e.g., the proposi- 
 tion, a stone is hard, i.e., all stones are hard. But there are also 
 other hard things than stones. Our proposition would seem to 
 mean, then, that a certain class, stones, are, as a whole, included 
 in, or identical with a certain part of, a larger class, hard things. 
 In both cases, now, the principle of identity appears. There is 
 an identity of "extension" between stones and a certain specific 
 part of the class, hard things, and, also, hardness is (identical 
 with) a quality of stones. 
 
 Now in accordance with the teachings of the traditional logic 
 it is impossible to reason without presupposing and using the 
 principle of identity in both of these senses. Thus, whether 
 we start with the proposition, "hard things are not mental," 
 or with "hard things are physical," and from these and the 
 proposition, "stones are hard things," conclude that stones are 
 not mental, but physical, we are presupposing and using iden- 
 tity in both of the senses just mentioned. 
 
 Yet that the principle of identity is not only presupposed in 
 such instances but also that it is a law of our thinking, i.e., that 
 it is a psychological and subjective law, is the traditional logical
 
 106 METHODS AND PROBLEMS OF METHOD 
 
 doctrine that is reached by the following argument, used either 
 implicitly or explictly. 
 
 Thinking is held to be specifically different from other entities, 
 or to be sui genesis in at least some aspects, and thus to have 
 a "nature" peculiar to itself. The proposition is then main- 
 tained as self-evident, that thinking cannot act in contradiction 
 to this "nature," but must act in agreement with it. A similar 
 argument could, of course, be made for almost any entity, e.g., 
 for electricity. The next question accordingly is, what those 
 laws are which, when thinking acts in accordance with them, 
 "fulfil" and reveal its nature? This question is answered by 
 finding what laws thinking must follow, whether it will or no, 
 since, if it can be shown that there are certain laws that thinking 
 must follow, this necessity can be accounted for by the hypothesis, 
 that such laws are resident in the thinking process itself, and 
 "make up" that nature in agreement with which thinking must 
 act. 
 
 But, what laws thinking must follow is ascertained by finding 
 what laivs or principles are such either that their opposite 
 cannot be conceived or thought, or that they are presupposed 
 by their own (attempted) denial.^ By applying these tests, 
 the conclusion is reached, that such laws must be used, when 
 we think, indeed even when we endeavor to think without them, 
 hecause they are laivs of thinking. 
 
 This is the argument that is used, either tacitly or explicitly, 
 in the traditional logic in order to show that not only the law 
 of identity, but also the laws of contradiction and of excluded 
 middle are "laws of thought," i.e., laws of a psychological 
 process. 
 
 We may now examine the application of this argument to 
 each of these laws, at the same time that we give each law 
 a formulation. 
 
 The Law of Identity. Even in the endeavor to think without 
 /it, the principle is used, (1) that each entity is identical with 
 itself, i.e., that it is that particular entity and not any other, 
 and (2) that it retains its peculiar character and its indi- 
 viduality. 
 
 The Law of Contradiction. Even in the attempt to think 
 " See Chap. XV., iv., 5, 6, 7.
 
 THE LOGICAL ASPECTS OF THINKING 107 
 
 without it, the principle is used (1) that each entity cannot be 
 both that entity and not that entity, and (2) that it cannot both 
 belong and not belong to a specific class, either as an individual 
 member or as itself a class. The first formulation of the prin- 
 ciple is but a restatement of the law of identity as the principle 
 of the individuality of each entity, even where, as in the class 
 of the points of space, all individuals seem to be qualitatively 
 alike. The principle, in this sense, does not mean, however, 
 that one and the same entity cannot be in two relational com- 
 plexes at once. For that an entity can have such a dual rela- 
 tionship is exemplified by a point, which, as the apex of an 
 angle, is a member of the two lines that form the angle. The 
 principle of contradiction may be illustrated by that proposition 
 which concerns it, namely, that it itself cannot he both a 
 {psychological) law of thought a7id not such a law. 
 
 The Law of Excluded Middle. Even in the endeavor to think 
 without it, the principle is used (1) that each entity, either as 
 an individual or as a class, must belong either to a class, A, 
 or to that contradictory class, non-A, which logically includes 
 everything that the other class does not include. Thus, any 
 logical principle must be either a (psychological) law of thought 
 or not such a law. 
 
 This position that certain logical principles are laws of 
 thought, or of mind, or of psychical processes, is well called 
 **the psychologizing tendency."*^ Its consistent outcome is, on 
 the one hand, that all logical principles are subjective or mental, 
 and, on the other hand, that that which shall be regarded as 
 logical is determined by finding what principles (1) are pre- 
 supposed by the very endeavor to think without them, or (2) 
 are of such a character that their opposites cannot be conceived, 
 or (3) are, perhaps, also self-evident. Historically, as this 
 tendency has developed, a numerically single "transcendental 
 ego," and also such "concepts" as quantify, quality, relation, 
 causation, substance and attribute, possibility, actuality, neces- 
 sity, unity, plurality, totality, positive, negative, and even time 
 and space, have been "found" to be such logical principles. 
 This is notably the case in the Kantian philosophy and tradi- 
 tion, in which some of these "concepts" are called "categories." 
 
 ' See Husserl, op. cit., for a criticism of this tendency.
 
 108 METHODS AND PROBLEMS OF METHOD 
 
 The argument has been, that one must think in accordance with 
 some one, or a number of these ; that the very attempt not to do 
 so but reveals the compulsion to do it; and, therefore, that this 
 compulsion is to be explained alone by the hypothesis, that these 
 "concepts" are principles of thinking.'' 
 
 The sharp difference between this psychologizing tendency 
 and the opposed realistic position may be brought out by con- 
 sidering certain consequences of the former position. The 
 critical examination of the traditional development in philosophy 
 shows, as we have already found, that there has been a strong 
 tendency to use the principle, that all entities, because they are 
 related in any way, are also causally related. This principle is, 
 therefore, applied to the fact of the relation between knowing 
 and that which is known. If, now, this knowing has a nature 
 that consists of laws of thought, categories, and the like, then 
 those ways in which knowing will affect the entities that are 
 known will be just these laws and categories. It follows, that, 
 given an indeterminate "something," an x, to he known, this 
 X will, as known, bear the "stamp" of these laws and cate- 
 gories, and any attempt to know an entity without this * ' stamp ' ' 
 will be self-defeating. 
 
 In the psychologizing tendency, therefore, logical principles 
 and entities are "made" subjective or psychical entities that 
 are attributes of and that inhere in the knowing mind, and that 
 also are wholly absent from the realm of unknown x's, but that 
 nevertheless appear to be in the realm of known "things" be- 
 cause they are "read into" that realm by the causal influence 
 of the knowing on that which is (to be) known. This philosophy 
 
 ' Aristotle himself would seem to have accepted the realistic interpreta- 
 tion of the proposition and the syllogism and, also, of logic. In the 
 assertion of a proposition he recognized two aspects, a subjective and an 
 objective. In the subjective there is revealed the speaker's belief or dis- 
 belief; in the objective the "state of affairs" to which such belief or 
 disbelief corresponds. See De Interpretatione, p. 23, a 32; p. 24, b 1; 
 p. 17, a 22. The later subjectivistic and psychological view seems to have 
 grown up in the tradition because of some lack of clearness in Aristotle's 
 own mind, and because of the influence of the " thing " and " substance 
 concepts." This view seems to have been held in modern philosophy by 
 Descartes, Spinoza, Leibniz, Kant, Fichte, Hegel, and by most writers of 
 current text-books on logic. The germs of opposition to it are found in 
 Locke's Sensationalism and Empiricism, in Berkeley's Nominalism, and in 
 Hume's Positivism; and these "germs" came to their full development in 
 Pragmatism and Healism. Cf. the later chapters on these positioua.
 
 THE LOGICAL ASPECTS OF THINKING 109 
 
 is called Phenomenalism. Concerning its logical genesis it is 
 only fair to say that the assumption, that there is a causal 
 influence of knowing on the thing known, while it is made, per- 
 haps, quite unawares, is due to the influence of the tradition 
 that comes from Aristotle. 
 
 The general realistic criticism of this whole position is, that, 
 if it is a condition of genuine knowing that "tilings as they 
 are" should be got at, then (1) the act of knowing cannot alter 
 the "thing" known, and (2) all categories and logical principles 
 must subsist, or be facts, in and among the entities known, 
 whether or not these categories and principles are present in 
 the knowing process itself.* Indeed, even granting that there 
 are laws or principles of the psychological process of thinking, 
 which laws this process follows, nevertheless these same princi- 
 ples might also hold of other entities, such as physical objects 
 and events, numbers and space and time; or, it might be, that 
 certain logical principles hold only of these other "things," 
 and that, accordingly, reason viust follow these principles be- 
 cause, in order to give genuine knowledge, reason must conform 
 to "things." In fact, that reason must so conform, and not 
 project itself into and alter those entities that are known by its 
 means, is the very position that is tacitly assumed by the ad- 
 herent of the psychologizing tendency, when he reasons about 
 the character of reason in general, in order thereby to discover 
 the facts concerning this.^ 
 
 III. THE PRAGMATIC TENDENCY 
 
 The criticism just made of the psychologizing tendency can 
 also, with equal justification, be directed against that tendency 
 which has recently received the name of pragmatism. 
 
 The pragmatist sets out to study the function and develop- 
 ment of knowledge, and, within this field, the nature of logic. 
 He solves the problem by discovering certain "states of affairs" 
 both by reasoning and by other methods, and, finally, by sys- 
 tematizing and unifying his results. But in doing all this he 
 tacitly grants that certain states of affairs imply others, and 
 
 " See Chap. II. 
 
 • Prominent names among recent writers who take the psychologizing 
 position in logic are: Sigwart, Bosanquet, Ueberweg, Wundt, Creighton, 
 Hibben.
 
 110 METHODS AND PROBLEMS OF METHOD 
 
 that, in the whole complex state of affairs which his own prag- 
 matic theory presents, implication, identity, unity, consistency, 
 and the like, are quite objective in the sense that they are not 
 dependent on their being known, and also are not invented in 
 the sense that that part of the human race which is European 
 in its culture has unconsciously contrived certain means of 
 thinking, or has formed the habit of thinking in certain ways. 
 
 This is the position that the pragmatist takes toward his own 
 theory, but not that for which he contends explicitly within that 
 theory itself. For, according to the detailed theory of prag- 
 matism, all logic is either a mere invention, an intellectual 
 instrument and machine, or a custom, a belief, that has developed 
 in the tradition,^^ but in either case something that is useful 
 as an adaptation to man's environment.^^ Its seeming necessary 
 character is accounted for by the argument, that we cannot get 
 out of the tradition in which we are reared, because the very 
 attempt to do this is itself imbedded in the tradition. This 
 implies that, had the tradition or the original invention been 
 different, our logic would also be different. But it is also 
 argued, that, since the only world which we know is one that 
 is affected by being known and, therefore, by the "nature" of 
 the knowing, our present (known) world is made in part by 
 that very logic which forms part of the tradition. Originally, 
 and even now, perhaps, there is another world, amorphous and 
 plastic and quite different from our known world. And, had 
 another logic been invented and grown up as a racial habit, then 
 would all mankind be thinking in a world quite different from 
 that in which they now think and live.^" 
 
 This is the pragmatic view of the nature of logic as a method 
 or as a set of principles by which we reason and investigate 
 situations, even those that furnish pragmatism itself with its 
 problems. Clearly this view has many resemblances to the 
 psychologizing tendency. The latter regards logical principles 
 as laws of certain psychological processes; the former inter- 
 
 " E.g., James, Pragmatism, Chap. V., and Schiller, Riddles of the Sphinx, 
 Chap, v., §§ !J-12. 
 
 " Dewey, Studies in Logical Theory, 1!)03, and James and Schiller, ihid. 
 
 '" Schiller's Humanism, discussed by James in all four of his later 
 volumes, Pragmatism, Meaning of Truth, Pluralistic Universe, and Some 
 Problems of Philosophy.
 
 THE LOGICAL ASPECTS OF THINKING 111 
 
 prets these principles merely as something which, like word- 
 symbols, beliefs, and superstitions, are arbitrary and contingent, 
 and are handed down in the general stream of social transmis- 
 sion from generation to generation. This inheritance is con- 
 ditioned chiefly by the psychological process of imitation, while 
 certain principles have survived and have been transmitted only 
 because of their usefulness. This usefulness is, indeed, their 
 truth even as it is the truth also of every principle, hypothesis, 
 law, and theory that survives and persists. 
 
 In further criticism of this pragmatic view, it suffices to com- 
 ment that, if logic is held to evolve and to be a mere adaptation 
 together with other "things" like eyes and hands and nervous 
 systems, and perhaps atoms and worlds and stars, nevertheless 
 everything cannot evolve. The priiiciples of evolution cannot 
 themselves be of this process. It is quite pertinent to ask, then, 
 whether these principles may not themselves be in part logical. 
 But if they are, then the universality of the pragmatic theory is 
 invalidated, and we must conclude that at least not all logic, 
 and, indeed, perhaps no logical principle is merely an evolving 
 racial instrument and habit. 
 
 XL THE TRADITIONAL TECHNICAL METHODS OF 
 REASONING ^ 
 
 CHAPTER XIV 
 
 THE CATEGORICAL SYLLOGISM 
 
 It is not proposed to give in this and succeeding chapters a 
 detailed account of all the technical methods of reasoning, but 
 to present only certain typical methods. All the methods pre- 
 sented will, however, be understood to be open to each of the 
 three interpretations just discussed, although the writer holds 
 the realistic interpretation to be alone the correct one. 
 
 ^ A complete presentation of the traditional methods will be found in 
 almost any text-book on Logic as well as in such larger treatises as 
 Sigwart's and Bosanquet's.
 
 112 METHODS AND PROBLEMS OF METHOD 
 
 One very common method of reasoning is by what is known 
 as the categorical syllogism. This method should be presented 
 and analyzed, since it is one by which much philosophizing is 
 done, as is illustrated by any of the usual arguments for, or 
 defenses of, philosophical positions. In making this presenta- 
 tion the distinctions discovered in the previous analysis of the 
 thinking situation should be borne in mind. 
 
 A typical situation in which a categorical syllogism subsists 
 is illustrated by that complex state of affairs in which (1) the 
 class plants is included (related by complete inclusion) in the 
 larger class living beings, and (2) roses are included in the class 
 plants, so that (3) they are also of necessity included in 
 the class living beings. In this situation there are present 
 (1) relations of similarity, by virtue of which groups of indi- 
 viduals form respectively the classes, roses, plants, and living 
 beings, denoted in each case by the concept of the class, namely, 
 rose, plant, and living being, respectively. (2) Each member 
 of each class is related to that class as ^'a member of" it, and 
 the class as a ivhole, i.e., the state of similarity of its members, 
 is a fact that is different and distinct from the fact of each 
 individual member. 
 
 Each of the relational complexes involved in this situation is 
 a proposition, but that complex to which we elect to give our 
 attention at this point is that which is generated (3) by the 
 relation of the inclusion of one class in another, e.g., of the 
 class, roses, in the class, plants. 
 
 One type of proposition is, therefore, that state of affairs which 
 is identical with the relationship of inclusion of one class in 
 another. 
 
 But even as classes, and so, also, concepts or states of affairs 
 that hold of individuals, are related, and, as related, are iden- 
 tical with one type of proposition, so, in turn, (4) are these 
 propositions themselves related ; or, as the situation may also 
 be stated, one class may be related to another class as including 
 it, and to still another class as being included by it. (5) Such 
 a relational complex we will define as a specific type of the cate- 
 gorical syllogism. Thus we have, in the case of the 
 example given, using the sign < to mean "are included in," 
 roses < plants < living beings. But 7-oses < plants, and
 
 THE CATEGORICAL SYLLOGISM 113 
 
 plants < living beings, are two distinct states of affairs. They 
 are each a proposition. Yet together they necessitate or imply 
 a third distinct proposition, iiamel}', that roses < living beings. 
 
 A still further analysis can be made of this specific, yet 
 typical situation. The printed words, "rose." "plant," and 
 "living being" are symbols or signs that stand for concepts, 
 the concept in each case being the objective state of affairs that 
 holds of all those individual things that share in certain specific 
 characteristics. Thus, e.g., there is something that "holds good" 
 of a certain group of objects by virtae of which all are roses. 
 This something, this state of affairs, is, however, not itself a 
 rose, but it is a concept that consists of a number of character- 
 istics which are familiar to all, and which are used when we 
 recognize a flower as a rose. These characteristics form the con- 
 notation or intension of the concept, rose; rose connotes them. 
 On the other hand, the individuals of which the concept holds 
 form its denotation or extension. In general, the fewer the 
 characteristics that make up the connotation, the greater is the 
 denotation of a concept, and conversely. Thus "rose" has a 
 greater connotation, but a smaller denotation than has "flower"; 
 "flower" a narrower connotation and a wider denotation than 
 "rose." 
 
 A concept denotes the individuals of the class of which it 
 holds, whether we are conscious of those individuals or not. It 
 must do this as that state of affairs which holds of these indi- 
 viduals, whether we are aware of them or not. Therefore, in 
 order to reason about individuals, once we have discovered the 
 concept for them, ive need deal only ivith the concept with itsi 
 connation, and with its relations to other concepts. In some 
 cases we must first discover the individuals specifically, before 
 we can get at the concepts for them. This we do in induction. 
 But in other cases we find the concept first, thus to discover 
 that there are certain classes of individuals, although, in some 
 instances, we can never perceive (in any sense) any particular 
 one of them. This is the case, e.g., in dealing with the points 
 of space. Such a discovery of a new concept may be made by 
 discovering what other, related concepts imply — a procedure 
 that is most important for science and philosophy, since, by it, 
 we discover certain classes of individuals no one of which, we
 
 114 METHODS AND PROBLEMS OF METHOD 
 
 can ever see, touch, or get at by any of the senses. For example, 
 it is in this way that we are forced to deal with everything that 
 existed or took place before we who now live were alive. 
 
 In accordance with our previous analysis a distinction is to 
 be made between (1) the words or signs, (2) the percepts of 
 these signs, (3) the states of affairs or objective concepts holding 
 good of classes of individuals, (4) these individuals themselves, 
 and the consciousness both (5) of these individuals and (6) of 
 the objective concepts. We are not always aware of these dis- 
 tinctions while we are reasoning, but to fail to distinguish is 
 not to do away with distinctnesses. As we reason we can give 
 our attention either to the concepts or to the individuals, but 
 to the reasoning it makes no difference, in most cases, which we 
 do. Thus, whether we say *'a rose is a flower," or "roses are 
 flowers" is, for reasoning, a matter of indifference. 
 
 The example just analyzed, namely, the complex state of 
 affairs, that roses < plants, plants < living beings, implies or 
 necessitates, roses < living beings, is typical of a class of specific 
 situations or relational complexes, called categorical syllogisms, 
 in which the relation of implication is present. Prom many 
 such cases that have been examined, the generalization is made, 
 that wherever there are similar situations, there, also, will im- 
 plication and the complex terms between which it holds be 
 ''present. 
 
 Some of the essential characteristics of these situations are 
 formulated in the text-books as the rules of the categorical syl- 
 logism, but they are to be regarded as rules for thinking only 
 because thinking must conform to the structure of reality in 
 order to issue in knowledge. 
 
 One of these rules or principles concerns that which is evident 
 in our example, namely, that while roses possess certain specific 
 properties that are not possessed by all flowers, nevertheless 
 they are included in this larger class. Accordingly, if some- 
 thing is a fact concerning roses, it is not implied, and should not 
 be inferred, that that something is also a fact for all flowers. 
 In general, if something holds of part of a class, that "some- 
 thing" cannot validly be inferred to hold for the ivhole of that 
 class. Also, that which holds of a smaller class does not of 
 necessity hold of the larger class of which the smaller is a part.
 
 THE CATEGORICAL SYLLOGISM 115 
 
 It might hold, but. also, it might not. When we infer, that 
 which we infer should be implied or necessitated. Conversely, 
 that which is necessitated must be inferred, if we are to infer, 
 and infer correctly. 
 
 That which is necessitated by a proposition or by 
 propositions of the type we are considering depends upon 
 the objective circumstance, whether some or all of the 
 individuals of a class are involved in the specific relationship 
 of inclusion, complete, particl, or negative, between two 
 classes. Thus, in the proposition, Boses are flowering plants, 
 while all rose^ are involved in the relationship asserted, 
 it is only some flowering plants, namely, those that are roses, 
 that are also involved. Therefore the converse proposition or 
 relational complex that is implied by the original one is only 
 that Some (not all) lowering plants are roses. However, in the 
 proposition, No men are fishes, or its equivalent. All men are 
 not fishes, both all men and all fishes are involved in the 
 relationship of complete negative inclusion, i.e., of complete 
 exclusion. The converse proposition that is implied is, accord- 
 ingly, No fishes are men. But, as different from this example, 
 in the proposition. Some triangles are symmetrical figures, 
 neither all triangles nor all symmetrical figures are involved in 
 the relationship, so that the converse proposition (that is) 
 implied is, Some symmetrical figures are (some) triangles. 
 
 However, in the case of the proposition just given, it is not 
 implied that All triangles are symmetrical figures, though by the 
 proposition, that All roses are flowering plants, it is implied, that 
 Some roses also belong to this larger class. Likewise the proposi- 
 tion, No men are fishes, implies that Some men are not fishes. 
 But, as different from this, the proposition that Some Euro- 
 peans are not Frenchmen does not imply that No Europeans are 
 Frenchmen. 
 
 These examples serve to illustrate an important principle, 
 which is, that the relationship of the whole of a class, either hy 
 inclusion, or by exclusion, to another class, necessitates the same 
 relationship for some of the individuals of that class; hut that, 
 conversely, the relationship of part of a class, either hy inclusion 
 or by exclusion, to another class, does not necessitate the same 
 relationship for all the individuals of that class. /
 
 116 METHODS AND PROBLEMS OF METHOD 
 
 This is but another formulation of the celebrated Aristotelian 
 axiom known as the dictum de omni ct nullo, which may also be 
 stated in the form that Whatever is predicated of a term dis- 
 trihuted, whether affirmatively or negatively, may be predicated 
 in like manner of everything contained under it. 
 
 In explanation of this formuiation it may be said that a 
 term is distrihutcd if all the individuals which that term denotes 
 are involved in any specific relationship either of inclusion or of 
 exclusion. 
 
 Not to observe this dictum, i.e., to distribute, in the conclusion, 
 as the proposition that is inferred, if not implied, a term that 
 is not distributed in the premises, is to commit the technical 
 fallacies either of illicit major or of illicit minor. 
 
 However, if the dictum de omni et nullo is a principle that 
 must be followed in those situations where our reasoning con- 
 cerns relations of inclusion and exclusion, it is, nevertheless, not 
 a principle that itself generates that relational complex which is 
 the syllogism. Rather this complex subsists by virtue of that 
 twofold relation which a '^middle term" bears to two other 
 terms, provided, also, all the individuals denoted by this middle 
 term are involved in one or the other of these two relationships. 
 This specific condition is usually stated in the form, that the 
 middle term must be distributed once at least. But it may also 
 be given the formulation that a syllogism subsists (1) if there 
 is a class 31 which is related by inclusion or by exclusion, partial 
 or complete, to each of two other classes, S and P, so that there 
 is the complex, S R M R P, and so that all the individuals of 
 the class 31 are involved either in its relation to S or in its rela- 
 tion to P. HSR 31 R P is the situation or state of affairs in 
 which M is distributed once, then this complex implies the com- 
 plex, or proposition, S R P. However, in endeavoring to dis- 
 cover this implication in any specific case, we must observe the 
 dictum de omni et nidlo; i.e., 8, the subject, and P, the predicate, 
 must not be distributed in the conclusion unless they are dis- 
 tributed in the complex, S R 31 R P, i.e., respectively in the 
 major premise, 31 R P, and in the minor premise, S R 31. 
 
 The syllogism consists in the implication of a proposition, 
 8 R P, as conclusion, by two propositions as premises. But, 
 since every proposition implies its inverse, or converse, there
 
 THE CATEGORICAL SYLLOGISM 117 
 
 may be, as a major premise, either 31 R P, or P R M, and, as a 
 miliar premise, either S R M, or M R S. The several combina- 
 tions of these four propositional forms give what are technically 
 called the four figures of the syllogism. Thus M R P, S R M, 
 S R P,is the first figure ; P R M, 8 R M, 8 R P, the second 
 figure ; 31 R P, M R 8, 8 R P, the third ; and P R 31, 31 R 8, 
 8 R P, the fourth. 
 
 But further, since the relation, R, may be that of inclusion 
 or of exclusion, partial or complete, between the two terms of 
 each premise, there are the several so-called moods, which consist 
 of a7iy two of the four kinds of propositions subsisting as pre- 
 mises, and of any one of these four kinds subsisting as conclusion. 
 These four kinds or types of propositions are: The universal 
 affirmative, All x's are y's, A; the universal negative. No x's are 
 y's, E; the particular affirmative. Some x's are y's, I; the par- 
 ticular negative, Some x's are not y^s, 0. 
 
 Universal propositions distribute their subjects, negative 
 propositions their predicates, as do also exclusive propositions 
 of the type, only x's are y's. 
 
 Although the text-books on logic present a list of the several 
 valid as distinct from the invalid moods of the four figures, such 
 a presentation and the committing of it to memory are both quite 
 superfluous, if only the following principles are observed in 
 using the categorical syllogism : (1) The middle term must be dis- 
 tributed at least once. (2) No term may be used distributively 
 in the conclusion, if it is not distributed in the premise in which 
 it occurs; it should not be so used for the simple reason, that 
 it is not so implied; i.e., ''some" does not imply "all," nor 
 does "some not" imply "none." (3) Two negative premises 
 give no conclusion, for the exclusion of the whole or of part 
 of two classes from the whole of the third class does not i)nply 
 the exclusion of those two classes from each other; they may 
 be so excluded, but, also, they may not. (4) The middle term 
 must be the same in the two premises; or, stated negatively, one 
 must guard against an apparent constancy in the meaning of 
 the middle term, while, nevertheless, a change is introduced 
 through the use of ambiguous words and phrases. This rule of 
 procedure also applies both to the minor term, as it appears in 
 the conclusion as subject, and also in that premise in which it
 
 118 METHODS AND PROBLEMS OF METHOD 
 
 occurs, namely, the minor premise, and to the major term, as it 
 occurs as the predicate of the conclusion and in that premise 
 which is made the major premise by its presence. Briefly, it is 
 the same terms, 8 and P, that occur in the complex, 8 B M R P, 
 and in the conclusion, 8 B P, that is implied by this. 
 
 As illustrative of violations of these four rules, the following 
 examples may be given : 
 
 Illustrating false syllogisms in which the middle term is not 
 distributed: — 
 
 I Some symmetrical figures are triangles. 
 A All rectangles are symmetrical figures. 
 A Therefore all rectangles are triangles. 
 
 Illustrating false syllogisms that employ two negative pre- 
 mises : — 
 
 E No true proposition is dependent on being proved. 
 
 E No postulate of geometry is dependent on being proved. 
 
 E Therefore no postulate of geometry is a true proposition. 
 
 Illustrating false syllogisms in which the major term is dis- 
 tributed in the conclusion, but not in the premise in which it 
 occurs : — 
 
 A All structures of living beings are " things " that evolve. 
 
 E No mineral is a structure of living beings. 
 
 E Therefore no mineral is a " thing " that evolves. 
 
 Illustrating false syllogisms in which both the middle term 
 and the major shift in meaning: — 
 
 A All that perceives is mind. 
 
 A The existence of objects consists in being perceived. 
 
 A Therefore the existence of objects depends on mind.
 
 THE TRUTH OF PREMISES 119 
 
 CHAPTER XV 
 
 THE TRUTH OF PREMISES 
 
 I. THE REGRESS OF PREMISES 
 
 In the process of reasoning by means of the categorical syl- 
 logism, as well as by syllogisms of other types, one can distin- 
 guish the formal correctness of the process from the "' material" 
 truth of the premises and the conclusion. The reasoning process 
 is formally correct, if, in the case of the categorical syllogism, 
 it conforms to some one of the several situations determined by 
 the principles just laid down. But formal correctness is not of 
 itself a guarantee of material truth. However, leaving unde- 
 termined at this point what the nature of "material truth" is, 
 but distinguishing it only from "formal correctness," it is clear 
 that there are the following types or variations of reasoning 
 processes: (1) the syllogism formally correct, and also both 
 premises and conclusion materially true; (2) the syllogism 
 formally correct, but premises and conclusion materially false; 
 (3) both the syllogism (?) formally incorrect, and the premises 
 and conclusion materially false; (4) the syllogism ( ?) formally 
 incorrect, but premises and conclusion materially true as proposi- 
 tions, although not so related as to form a sj^llogism. 
 
 The last three "variations" are both interesting and im- 
 portant, yet it is with the first type that we are here most con- 
 cerned. For the desideratum is, ivhen we reason by means of 
 the categorical syllogism, that hoth our reasoning process should 
 be formally correct, and our conclusion be materially true. 
 
 The formal correctness of the reasoning process seems, how- 
 ever, to be relatively easy to obtain, or to certify. To do this 
 one need only observe the rules for correct formal reasoning, 
 such as those rules that have just been presented for the cate- 
 gorical syllogism. But a more difficult problem is that of 
 making certain of the material truth of the propositions thati 
 appear as premises, or as conclusion. 
 
 Although, now, there are a number of different interpreta- 
 tions, by the several philosophical positions, of the nature of
 
 120 METHODS AND PROBLEMS OF METHOD 
 
 truth, these can be neglected at this point, since no position 
 fails to recognize truth {and error) in some sense. Accord- 
 ingly, without defining truth, it may be said that, in the formally 
 valid categorical syllogism, the conclusion is materially true, if 
 the premises are materially true. But the premises are, like the 
 conclusion, propositions. Accordingly, tlie prohlem of getting 
 a materially true conclusioyi becomes that of getting two ma- 
 terially true premises, and of again finding, if possible, tiva 
 materially true premises that in turn imply each of these pre- 
 mises. However, these "premises of premises" in turn "rest 
 on" and presuppose others "still further back," and so on, 
 indefimtely. What, then, is the outcome of this repeated pre- 
 supposition of premises? Is there an infinite series of premises 
 which it is quite impossible to complete, so that the best one can 
 do is to plunge in mcdias res and boldly assert certain premises? 
 This might be done either on the ground that, although not 
 actually inferred deductively from others, these premises might, 
 nevertheless, be materially true, or on the ground, that there is 
 a "stopping place" where certain propositions imply, hut are 
 not implied. But it may also be asked, if there are not other 
 methods of establishing premises than by means of the cate- 
 gorical syllogism, or, finally, if all three of these suggestions 
 might not conform to fact? May not implication be limited in 
 its range, so that certain propositions are (1) consistent with 
 other propositions, but not implied by them, and, therefore, are 
 (2) deductive "starting-places," and must, accordingly, be dis- 
 covered non-deductively? To the answering of these inquiries 
 we now turn. 
 
 II. COMMON SENSE AND THE SOCIAL TRADITION 
 
 The physiological transmission of structural and functional 
 characters is not the only kind of heredity. There is also a 
 psychological inheritance through imitation and by precepts, 
 and the like, from all who have contributed to that whole social 
 tradition in philosophy, religion, literature, art, science, and 
 common sense into which each one of us is born. It is in this 
 way that we obtain a mass of general knowledge to be used as 
 premises from which to reason, as is illustrated by our common 
 law, our system of morals, and our common sense. Such sur-
 
 THE TRUTH OF PREMISES 121 
 
 vivals are based on a method which in the main conforms to the 
 canons of correct observation, analysis, and generalization. 
 
 This method is, broadly speaking, induction, practised in- 
 formally, uncritically, unconsciously, almost instinctively. 
 
 III. INDUCTION ^ 
 
 So long as men relied chiefly upon a tradition that vras rooted 
 in uncritical observation and generalization, comparatively little 
 ftiat was new was discoverable. Yet it was in this tradition 
 that men lived until the realization came that the secrets of 
 nature were beneath the surface, and that, if they were to be 
 revealed, nature must be analyzed by a method more penetrating 
 and more discriminating. The time came, first at spasmodic 
 intervals, but later more continuously, when, by carefully con- 
 ducted experiments, the aspects of nature were isolated and 
 their relations to one another ascertained. At the same time 
 it was fair and natural to suppose that there were otJicr, indeed, 
 many other instances of these "things" that were thus exam- 
 ined. But all of these instances could not be observed, e.g., 
 either because they were too numerous or too remote, or because 
 they were in the past or in the future. Yet the conviction was 
 present, that nature was orderly, that it acted in accordance with 
 law, that it had uniformity, and that the orderliness, the law, 
 the uniformities were revealed by the few cases examined with 
 care and by experiment. 
 
 It was in this manner that, e.g., Galileo (1564-1642) discov- 
 ered that the velocity of bodies falling to the earth increases 
 with the time, — at that rate, namely, which is given by multi- 
 plying the time-interval taken to fall a definite distance by this 
 same time-interval, i.e., by the time squared. Galileo made his 
 observations on bodies which he either let fall from different 
 heights on the leaning tower of Pisa, or rolled down different 
 distances on an inclined plane. From his observations, measure- 
 ments, and analysis of these motions, in which he distinguished 
 the distances, the times, the rates, and the change of rate, 
 Galileo generalized. Thus he discovered the laws of all falling 
 bodies. But he did not observe all. Too many bodies were 
 
 ' The best complete discussion of induction is by B. Erdmann, Logik, 
 2nd ed., pp. 730 ti'.; cf. Venn, Principles of Inductive Logic, 1907, p. 344 ff., 
 and J. S. Mill, System of Logic, 7th ed., Bks. III. and IV.
 
 122 METHODS AND PROBLEMS OF METHOD 
 
 falling elsewhere than in Pisa, too many, indeed, in Pisa itself, 
 for him to do this; too many also had fallen before, and too 
 many would fall after his day. 
 
 It is in ways such as the method of Galileo illustrates, that 
 the scientist proceeds in order to get laws, principles, and gen- 
 eralizations that can subsequently be used as premises for making 
 deductions, — such deductions, indeed, as enable men to control 
 the forces of nature and to make predictions, computations, and 
 plans that are realized in the concrete facts. 
 
 One is not compelled, in all cases, therefore, to continue the 
 search for premises indefinitely far hack. There is ultimately 
 an appeal to concrete fact, and a basis for precise generalization. 
 This procedure may be formulated as follows : — 
 
 I. A certain number of typical, particular cases, c^, c,, Cg — Cq, 
 such as the instances of the motion of falling bodies, are exam- 
 ined, and are found to have a specific property, P, such as the 
 property, that the velocity of a falling body is at any instant 
 directly as the square of the time — typical cases being such as 
 are taken at random. 
 
 II. It is assumed, though not proved (since, e.g., all cases 
 of the motion of falling bodies cannot be examined) that all 
 C's are like the relatively few typical cases examined. This 
 assumption is more justified if the cases are examined by scien- 
 tific methods of analysis than if they are not. From I. and II. 
 it is concluded, that 
 
 III. All C's have the property, P. 
 
 This principle and procedure are present in all induction, as 
 this is used both in common sense and in science. Clearly, how- 
 ever, there is an element of risk, of uncertainty in it. Are all 
 diseases caused by micro-organisms? Science has shown that at 
 least some are. Are atoms absolutely simple? Science used to 
 maintain that they were, but does so no longer. In induction, 
 then, a "leap" is made from "some" to "all," and this leap 
 is hazardous. For, while "some" is included by "all," "all" 
 is not implied by "some," as we have previously seen. 
 
 IV. HOW FACTS ARE GIVEN 
 
 Induction proceeds, first, by examining, in various ways, con- 
 crete, particular facts that are, if possible, typical cases, and.
 
 THE TRUTH OF PREMISES 123 
 
 second, by generalizing from these. Science is built up in part 
 in this way, as are also common sense and tradition, religion 
 and philosophy, since each of these is characterized by at least 
 the claim that facts are given which warrant a generalization 
 from them. In a broad sense, then, all knowledge is inductive, 
 ^ut ivJiat is a factf Concerning this important question there 
 is disagreement, not only as regards what shall be accepted 05 
 fact, but also as regards the criteria, the tests, the methods by 
 which a distinction is made between that which is accepted as 
 fact and that which is not. We may, therefore, examine these 
 two questions together, relying upon the actual procedure which 
 we find adopted in different fields, both as to what are accepted 
 as facts, and what as criteria. 
 
 1. Sense Experience 
 
 In daily life and in scientific investigation we get at what 
 in these fields are certainly regarded as one class of facts, 
 namely, those that "come" to us through our senses. Vision, 
 hearing, touch, smell, and taste and other modes of sensation 
 are held to reveal facts to us, and, if there are occasional illu- 
 sions, this fact is itself disclosed by the senses a7id by reasoning 
 about those data which the senses give us. However, it is not 
 necessary to go into many of the details of this familiar field. 
 Things, qualities, events, and relations in the world round about 
 us become known to us through our senses. For example, this 
 red book and that brown one, the howling of the wind outside 
 and the odor of this burning tobacco, the motion of the smoke 
 as it curls upward and its height from the floor, — all these are, 
 for me, facts as my senses now reveal them to me, as I sit in my 
 laboratory. In our usual sense experience we do not go beyond 
 this, although science and philosophy take us beyond, finally 
 leading us even to doubt, e.g., that our real eye sees its own real 
 image in a real mirror. For the process of sense perception has 
 itself been made the subject of much study in both psychology 
 and philosophy, one of the important typical problems here 
 being whether, in perceiving, we get at the object directly, or 
 have a mental state that is perceived and that copies the object, 
 so that we perceive the object only indirectly. There are many 
 other questions concerning sense perception, but common sense
 
 124 METHODS AND PROBLEMS OF METHOD 
 
 does not raise them. Rather, whatever may be the manner and 
 the mechanism of perceiving through the senses, in common 
 sense it is held that such perception gives us facts. 
 
 A great part of scientific investigation, perhaps practically 
 all of it in the field of the natural sciences, is based on the same 
 assumption. The perception of the scientist is, however, dif- 
 ferent in some respects from that of the layman, since his is 
 a perception that is controlled and assisted by instruments of 
 observation and of measurement. Telescopes and microscopes, 
 and, indeed, a variety of machines and instruments enable the 
 scientist to observe what the layman cannot, and technical 
 methods of experimentation that are suggested by hypotheses 
 and theories, reveal to the scientist realities which, without such 
 methods, would remain hidden. Yet, however much the sci- 
 entist's perception may be thus controlled and assisted, still, in 
 the last resort, it is to his sense perception that facts are revealed, 
 and upon its deliverances that the discovery of specific laws, 
 principles, and generalizations is based. 
 
 2. Intuition, Feeling, and Emotion} 
 Sense perception, however, is not limited to the disclosure of 
 "things" that are not ourselves. For we perceive our own 
 bodies through both vision and touch, and also through our 
 muscular sensations and a whole group of organic sensations. 
 But we also perceive, though not through the senses, that ive 
 have sense percepts, memory, and reasoning processes, and the 
 like, i.e., we perceive that we are conscious, in several specific 
 ways. This is self-consciousness. We discover in this way, that 
 we are also, at times, in certain specific moods, such as those of 
 joy, sorrow, and expectancy. There is often, also, a feeling of 
 the wholeness and unity of "things," even of the oneness of 
 ourselves with nature, as opposed to the analytical and dis- 
 criminating perception of common sense and science. Must it 
 not be admitted, that such emotions and feelings also reveal 
 facts? 
 
 If we accept the evidence of those generalizations that con- 
 
 ''Cf. E. Underbill, Mysticism, 4th od., 1912; F. Von Hiigel, TJxe Mystical 
 Elements of Religion; A. B. Sharp, Mysticism, Its True Nature and Value, 
 1910; cf. also James, Varieties of Religious Experience, XVI. -XVII.; 
 Bergson, all through Creative Evolution, Matter, and Memory, and Time 
 and Free Will.
 
 THE TRUTH OF PREMISES 125 
 
 stitute a good part of traditional religious systems and beliefs, 
 of moral ideals, of standards of art, and the like, then we can 
 only answer this question affirmatively. Religion, morality, and 
 art are based on the deliverances of certain specific emotions 
 and modes of appreciation, and the facts thus given are often 
 called values. Sometimes they are given only once in a lifetime, 
 though more often they are repeated, and they come, also, to 
 many individuals. 
 
 But even in those eases in which it is not so much either the 
 emotion, or the analytical perception of parts, as it is the in- 
 tuition of wholes, that is to be emphasized, does not this intuition 
 also give facts? For example, is not the whole space that the 
 reader now perceives quite as much a fact as are its parts, i.e., 
 hoth the smaller spaces, and the points, of which both whole 
 and part are composed ? Is not a year as much a fact as a day, 
 the ivhole motion of a stone as much a fact as the occupation of 
 specific points at successive instants? Indeed, do not stone and 
 motion and path and time together form one whole and unitary 
 fact? And is not the similar fact sometimes experienced, of 
 the unity of the self and all else, with no distinctness between 
 the two? 
 
 To each of these inquiries the answer "yes" is sometimes 
 given, with certain definite scientific, philosophical, and religious 
 positions resulting. But, while in science the whole is given a 
 status which is equal, as fact and as value, to that of the parts, 
 in philosophy a more extreme position is frequently taken. The 
 whole is given a higher status, and the part is regarded as de- 
 serving and winning a place 07ily in the whole. "With the whole 
 thus "made" reality, the part is, also, frequently "made" only 
 appearance, or, when analysis is regarded as serving only our 
 practical needs, the part is allowed to be only an artefact. Thus 
 it is that in religion and theology the whole is often identified 
 with God, while all else is allowed to be but His manifestation. 
 Self-consciousness, emotions, feelings, and intuitions, then, as 
 well as sense perception, are accepted as ways and means by 
 which facts are disclosed, and from which generalizations are 
 made, thus to furnish premises for deductive procedure, and to 
 cut off the indefinite regress of premises that seemingly would 
 otherwise obtain.
 
 126 METHODS AND PROBLEMS OF METHOD 
 
 Memory is that specific conscious process hy or in which what 
 has been experienced is now represented to us. We can remem- 
 ber, with greater or less detail, that which has been experienced, 
 and also, perhaps, the time and jylace of the experience. Much 
 of that which is remembered is imaged in terms of some one of 
 the senses, but some "things," as e.g., past emotions, are dif- 
 ficult to image, although they can be remembered. However, 
 the question that here concerns us is whether memory gives us 
 facts from which to generalize. Obviously, by definition, facts 
 that are remembered have been experienced before ; the memory 
 is not the original experience of these facts. And yet we rely 
 on it, and must do so, in order to secure the requisite basis for 
 our generalizations. 
 
 Without memory there would be no imngination, since this 
 process depends upon the materials that memory furnishes. Ac: 
 Qordingly, without memory, on the one hand, to represent the 
 past, and, on the other hand, to furnish a basis for the presenta- 
 tion of the future, our awareness of "things" would be limited 
 to the immediate present (whatever, in the last analysis, this 
 "present" may prove to be), so that, unless we could get at 
 a sufficient nmyiber of concrete facts in the immediate present 
 to furnish a basis for generalization, we could derive no general 
 propositions to use as premises. Such propositions are ob- 
 tained by comparing and analyzing a number of concrete cases, 
 so as to discover, if possible, similarities, and then to generalize. 
 But, it would seem, that if there were no memory, no com- 
 parison would be possible, and, therefore, no similarities be 
 discovered, and no generalizations be justified. Indeed, if we 
 were organisms with an awareness of only the immediate present, 
 we would not even have the tendency to generalize, and then we 
 could neither think nor reason. But the fact is, that we do 
 retain, do remember, and, on this basis, do compare and 
 generalize. 
 
 4. Imagination 
 
 Does imagination also give us facts, and furnish material for 
 generalization? Imagination is that conscious process in which 
 we are aware of at least some entities, or combinations of en-
 
 THE TRUTH OF PREMISES 127 
 
 titles, that have not been presented in the past. However, the 
 materials for imagination to work with must have been given 
 or be now given in some way, although the complex is new. 
 Oftentimes, indeed, in fancy and creative imagination, the mode 
 of the relating of formerly given parts is such that distinctly 
 new qualities of the whole result. Such a creation is character- 
 istic of those facts that are given to the imaginations of the 
 painter, the architect, the sculptor, and the musician, and also, 
 oftentimes, to those of the scientist and the philosopher. Turner 
 imaging his sunsets, and Beethoven his symphonies, are cases 
 in illustration, but Newton also must have reached out in imag- 
 ination to discover gravitation, and Plato, to get to his Theory 
 of Ideas. 
 
 Imagination is to a large extent free ; it must accept its ma- 
 terials, but with these once given, what restrictions can be 
 placed upon it? For example, who would be so bold as to 
 prescribe future accomplishments of miagination in art? Yet, 
 free as it is, imagination gives us data, which are facts of some 
 kind, and from which, especially in the development of re- 
 ligion and art, generalizations are drawn that oftentimes become 
 the dogmas for posterit3^ In some fields, therefore, imagination 
 may act as freely as it will and can. 
 
 Has imagination this freedom also in science, or must it in 
 this field be kept within certain bounds by the exigencies of 
 prediction, of explanation, of consistent systematization, and 
 the like? Hypotheses, theories, laws, all play their part in 
 science, but there are also threads of compulsion, either of im- 
 plication or of consistency, that are not on the surface. Im- 
 agination in science plays its part, therefore, by folloiving these 
 threads as much as possible, until it is finally led to entities that, 
 previously unknown, thereby become known. It is in this way 
 that, e.g., gravitation, electro-magnetic waves, osmotic energ\% 
 and, indeed, a very large number of the other entities of modern 
 science have been discovered. These were, fir'st, mere hypo- 
 thetical entities, with possibly feiv connections with observed 
 facts. But, subsequently, deductions and predictions from them 
 led to their confirmation. Imagination, having done its work, 
 was subsequently supplanted by reason. 
 
 In contrast with imagination in art, therefore, where it is,
 
 128 METHODS AND PROBLEMS OF METHOD 
 
 perhaps, free without limit, in science imagination must be 
 controlled by the discovery of relations of implication, or, at 
 least, by such relations as are prescribed by the exigencies of 
 explanation, prediction, and system. 
 
 Which example shall philosophy follow? Shall it be the 
 example of art, in which imagination, by the freest play, leads 
 to data that we appreciate and value, or the example of science, 
 in which lue guard ourselves as much as possible from accepting 
 anything as fact merely hecause we value it, and in which, 
 seemingly, ''truth at all costs" is the chief concern. This 
 question is perhaps one of the most fundamental philosophical 
 problems. Both motives are present in contemporaneous phi- 
 losophy, though usually in disguised form. The one motive 
 would have philosophy an art, an appreciation, a personal 
 reaction ; the other would have it a science.^ 
 
 This concludes the consideration of one class of means by 
 which premises for deductive use are obtained. Appeal is made 
 to the concrete facts of sense perception, of emotion, of intuition, 
 of memory, and of imagination. All facts, thus presented, can 
 be represented in memory, and from typical cases, generaliza- 
 tions be derived. These generalizations are of the type that 
 such and such is the positive or negative "state of affairs" for 
 such and such a class. This method of discovering general 
 propositions and of putting an end to the indefinite series of 
 premises is induction. 
 
 Our next question is whether there are still other methods by 
 which premises for deductive purposes can be found. As a 
 matter of fact, in the history of science and philosophy, a 
 number of such methods have been accepted as fulfilling this 
 function. Thus certain geiieral propositions in such sciences as 
 logic, mathematics, geometry, physics, and ethics have been held 
 to he true either hecause they were self-evident, or hecause their 
 opposites were inconceivable, or because they were presupposed 
 by their aiicmpted denial. Indeed, in many cases, it is on 
 these grounds tliat certain propositions have been regarded not 
 only as factually, but also as necessarily true, and have, there- 
 fore, been called axioms. Frequently, also, some of those prin- 
 ciples which have been mo>it important as a basis for certain 
 
 " Cf. W. T. Marvin, First Book of Metaphysics, Chap. I.
 
 THE TRUTH OF PREMISES 129 
 
 specific philosophical systems have heen established hy these 
 tests. 
 
 5. Self -Evidence^ 
 
 The principle of self-evidence may be stated briefly in the 
 form of the proposition, that that which is self-evident is true, 
 or is a fact. As applied, this means that some proposition or 
 principle appears to be true ''on the face of it," or, that it does 
 not need proof, or, indeed, that it is, perhaps, incapable both of 
 proof and of disproof. Examples of propositions that have been 
 regarded as self-evident, and, therefore, as ultimate and neces- 
 sarily true, are: (1) the whole is greater than any of its parts; 
 (2) every effect has a cause; (3) the cause equals the effect; 
 (4) everything in its individuality is identical with itself and 
 distinct from every other thing; (5) of two contradictory 
 propositions, one must be true; (6) everything must act in 
 accordance with its own nature; (7) we can know only our 
 own ideas; (8) through a point, C, not on a straight line, D, 
 there is only one line parallel to D. 
 
 However, the position taken at the present day toward the 
 test of self-evidence is, that it is not a criterion of absolute or 
 necessary truth, but, at best, only an empirical test, which, 
 though it may be used on occasion, is very liable to error. 
 Indeed, the critical examination of, and perhaps the inductive 
 generalization from, a large number of important historical 
 instances of principles that have been regarded as absolutely 
 true because of their self-evidence, but that are now known not 
 to be true, or, at least, not necessarily true, demands this inter- 
 pretation. On the other hand, the necessity of using self- 
 evidence as an empirical criterion, which, though it is liable to 
 error, nevertheless reveals a fair and perhaps high degree of 
 probability, can also be shown. For example, that there is a 
 rigorous logical connection of implication between the premises 
 and the conclusion of a syllogism, is ultimately accepted only 
 because of its self-evidence. For if we doubt any specific 
 
 * The principle of self-evidence was used, e.g., by Euclid in arriving at 
 his axioms, and by Aristotle in getting at the intrinsic properties of 
 things. It was really recognized as a criterion by Descartes, in both his 
 Meditations and his Discourse, and by Leibniz in his Meditationes de 
 Vognitione, Veritate et Ideis.
 
 130 METHODS AND PROBLEMS OF METHOD 
 
 instance of syllogistic reasoning, and therefore test it for its 
 validity by further reasoning, then we must accept the logical 
 connection of the several steps in the final reasoning process, 
 on the ground alone that they are self-evidently valid or correct. 
 
 However, it is evident, perhaps self-evident, that a criterion 
 of truth can be such a test provided only that it itself is true. 
 As applied to the criterion of self -evidence this means that the 
 question must be raised whether it is self-evident, that that 
 which is self-evident is necessarily true. To the writer of this 
 book it is 7iot. This alone suffices to show that self-evidence 
 cannot be an unequivocal and absolutely certain test of truth, 
 for here there is at least one exception. The principle of self- 
 evidence is itself not self-evident to every one. It does not stand 
 its own test. Then it cannot be a necessarily true and abso- 
 lutely certain criterion. 
 
 "We must conclude that self-evidence is only a psychological 
 test of truth. What is self-evident to one is not to another. 
 Therefore, so far as this test is accepted and used, as perhaps 
 it must be in certain cases, there is always the proviso, that it 
 is liable to error, and is not absolute. 
 
 6. The Inconceivability of the Opposite ^ 
 
 Almost the entire characterization and criticism that has just 
 been made of the criterion of self-evidence holds also of this 
 second test or criterion. Historically, this test has been applied 
 to many principles to which the test by self-evidence has also 
 been applied, i.e., that which is self-evident has been further 
 tested by attempting to conceive its opposite, and, with this 
 attempt failing, has been regarded as necessarily true. This 
 test may be stated, in the form of the proposition, that that 
 ivhose opposite cannot he conceived must itself he conceived and 
 he true, so that we cannot think without it, — if to think is 
 to conceive. For example, if we cannot conceive that the part 
 should be equal to, or be greater than the whole, it would be 
 concluded hoth that it is necessarily true, and that we must 
 think, that the part is less than the whole. Historically, this 
 
 ' The principle of the inconceivability of the opposite was recognized, 
 e.g., by Herbert Spencer, Principles of Psychology, §§420-437; cf. J. S. 
 Mill, Logic, 8th ed., II., VII., 1-4.
 
 THE TRUTH OF PREMISES 131 
 
 proposition as regards the relation of whole and part was estab- 
 lished as a principle in just this way — though it is now known 
 to hold only for finite wholes. For infinite wholes the relation- 
 ships of "less than," ''equal to," and "greater than" do not 
 apply at all, or, more accurately, are not -present at all. As 
 further examples, one may ask, if it can be conceived, (1) that 
 a "thing" should be hoth itself and something else; and, accord- 
 ingly, provided mind is different from matter, (2) that mind 
 should act in contradiction to its own nature. Also, can one con- 
 ceive, (3) that a thing should cease to be itself and become 
 something else, i.e., that it should change; or (4) that two 
 "things" should be related and not influence each other? If 
 one cannot conceive these propositions, then must one not think 
 the opposite of each 07ie of them, and conclude that this opposite 
 is absolutely true? 
 
 Such examples might be added to almost indefinitely, with 
 the result that a list could be obtained which would include 
 many a proposition or principle that has been of great influence 
 on both philosophy and science. 
 
 But the test of the inconceivability of the opposite proves, 
 after all, to be, like self-evidence, only a psychological test. It 
 cannot be absolute, since it has been applied to establish the 
 truth of many a principle, in both science and philosophy, that 
 subsequently has been shown to be false. Many an inconceivable 
 "thing" has turned out to be quite conceivable; as, e.g., the 
 propositions, that the earth is round; that a moving body con- 
 tinues to move with no outside force acting on it; that, in a 
 plane, there may be, through a point, more than one parallel to 
 a line not containing that point. Therefore, some things at 
 least that formerly were inconceivable are now no longer so. 
 Also, that which is inconceivable to one mind is not to another. 
 
 All this is evidence that this test does not reveal what must 
 be conceived. Indeed, to the writer it is not inconceivable, that 
 the proposition, that that whose opposite is inconceivable is 
 true, should itself be false. The test does not establish itself, 
 but, like self-evidence, reveals, not what all must think and 
 conceive, but only what some must and do think — for psycho- 
 logical reasons. It is a test that is, at best, only empirical and 
 quite fallible, having been derived, in fact, by induction from
 
 132 METHODS AND PROBLEMS OF METHOD 
 
 certain positive eases for which it has seemed to work success- 
 fully. But that which is inconceivable today, may nevertheless 
 he true, and tomorrow be conceived, primarily because it is dis- 
 covered to he a fact. 
 
 7. Presupposition hy Denial " 
 
 This principle differs from the tests of self-evidence and the 
 inconceivahility of the opposite in that it is a logical test, whereas 
 they are psychological criteria. For to he presupposed is to he 
 implied. Only if we take something to be presupposed which 
 really is not, does the psychological factor enter, for then there 
 is error. 
 
 The principle of presupposition by denial is, however, closely 
 connected with the test by ''the inconceivability of the oppo- 
 site" and also with the "reductio ad ahsurdum." This latter 
 test proceeds by first assuming the contradictory of that principle 
 which is to be established, and by then finding that this con- 
 tradictory is, in some way, absurd, so that the opposite, the 
 original principle, must be accepted as necessarily true. But 
 this raises the question as to what the absurd is. Is it that 
 which is inconceivable, or, that which is ')>ot yet known, hut 
 seems most improbable, or, that which is self-contradictory? 
 The first two kinds of absurdity are, however, only psycho- 
 logical, for, the absurd, thus defined, has oftentimes proved to 
 be fact. To this extent the method of reductio ad ahsurdum 
 turns out to be only a very fallible test. Wireless telegraphy, 
 and automatic adding machines, and six-day trans-Atlantic 
 steamships were at one time absurd and inconceivable, but they 
 subsequently proved to be facts. 
 
 However, when the absurd is identified with the self-contra- 
 dictory, the reductio ad ahsurdum becomes the test of (or proof 
 by) "presupposition by (attempted) denial." Within the field 
 of seemingly self-contradictory "things" one can distinguish 
 self-contradictory terms, such as round-square. But, as distinct 
 from such terms, there are also self-contradictory propositions; 
 
 " The best statement of the principle of presupposition by denial is by 
 P. Coffey, Logic, 1!)12; ef. Jevons, Principles of Hcienee, 1874. This is also 
 the principle of Kant's "deduction" of the categories; see Miiller's 
 translation, p. 21 and p. 4.
 
 THE TRUTH OF PREMISES 133 
 
 such as the proposition, there are no propositions. This is self- 
 contradictory, since it is itself a proposition. Terms as such do 
 not imply, and so it may be, that, strictly speaking, there are 
 no self-contradictory terms. Accordingly, a term that seems to 
 be self -contradictory, such as round-square, may be a mere join- 
 ing of symbols. But, if this is the case, then it can be proposi- 
 tions alone that are true on the ground that they are presup- 
 posed hy their own attempted denial, and by their contradic- 
 tory. Such a denial is also an ahsurdity, in that it contradicts 
 itself by presupposing the very "thing" that it denies. Fop 
 example, the position of the skeptic, that there is no truth, is 
 self-contradictory and absurd in that it is itself advanced as a 
 truth, and so presupposes that there is some truth — to the 
 extent, at least, of one truth. Therefore, the proposition there 
 is truth, is one that is established by its own denial. 
 
 Other examples of propositions which are established or 
 proved in this manner are: (1) There is thinking; to deny this, 
 is to think and, therefore, to presuppose that there is thinking; 
 (2) there are propositions ; that there are not, is itself a proposi- 
 tion; (3) the principle of excluded middle; to deny this, i.e., 
 to assert that there is a third possibility between two contra- 
 tradictories, presupposes that there is no third possibility be- 
 tween the two contradictories of the universality of this princi- 
 ple and some exceptions to it. 
 
 But if there are certain propositions which are estal)lished by 
 the principle of "presupposition by denial," it is important to 
 determine by what test this principle is itself true. The necessity 
 of putting the principle to some test is evident, since, if it itself 
 is not true, it cannot be a (true) test for truth and fact, even 
 when it is correctly applied. However, as at least a partial 
 response to this just demand it can be shown, that, unlike the 
 tests of self -evidence and the inconceivability of the opposite, 
 this principle does apply to itself, i.e., that it is true by its own 
 test. This demonstration can be made as follows, though in a 
 manner that is, perhaps, of necessity somewhat involved. 
 
 The question is, whether the principle that "that which is 
 presupposed by its own denial" is itself presupposed by its own 
 denial. If it is, then it is true by its own test. To give one 
 proof, let us call this principle, A, and then deny that this prin-
 
 134 METHODS AND PROBLEMS OF METHOD 
 
 ciple is true, i.e., assert that it is false. The problem then is, 
 Does this denial presuppose the principle in question, namely, 
 that that which is presupposed by its own denial is true? The 
 answer to this question is "yes," and the reasons for this answer 
 are as follows: If the specific denial under consideration is true, 
 it is true only on the ground of a specific principle, namely, 
 one that concerns the relationship between a universal affirmative 
 proposition, A, and a particular negative, 0. litis principle is, 
 that if a particular negative, 0, is true, the corresponding uni- 
 versal affirmative. A, must be false, and, conversely, that, if A 
 is true, must be false. But this principle, holding between 
 propositions A and 0, is the very principle that, in the instance 
 under investigation, is identical with proposition A. That is, 
 it is the principle, that the reason why a contradictory, either 
 A or 0, must be true, if the other contradictory, or A respec- 
 tively, is false, is, that a proposition is presupposed (implied) 
 as true hy its denial (the contradictory). Therefore the denial 
 of this proposition or principle itself, or the assertion of its con- 
 tradictory, presupposes this very principle. In other words, this 
 principle is itself presupposed by its own denial, and, therefore, 
 applies to itself, or is true by its own test. 
 
 The original principle thus confirms itself, and in this respect 
 is different from the two criteria previously discussed. For 
 this very reason it is to be regarded as a logical, and not a 
 psychological criterion. Its norm is w^hat is "presupposed" or 
 "implied," as against what is "evident" and what is exclusively 
 "conceivable." The only psychological element that concerns 
 it, has to do with the question whether or not it applies in a 
 specific instance. But, if it does apply, it applies logically, — 
 and not psychologically, as do the other two criteria. Yet it 
 may be difficult to determine whether or not it does apply in 
 a particular instance. For example, does it apply to that situa- 
 tion which is asserted in pragmatism, namely, that there is no 
 ahsolute truth, hut that all truth is relative, since it (all truth) 
 is identical only with that which is adaptative, and works and 
 bring satisfaction? The anti-pragmatist claims that this ivhole 
 pragmatic theory of truth is advanced, not as a theory that is 
 true by its own explicit definition of truth as fluctuating, but 
 as one that is true absolutely, and, therefore, that absolute truth
 
 THE TRUTH OF PREMISES 135 
 
 is presupposed by its attempted denial in pragmatism^ The 
 pragmatist can repudiate this accusation only by the counter 
 claim of consistency, namely, that his pragmatic theory is itself 
 true only pragmatically. Which party is correct in his claim? 
 It is difficult to decide, since there is no criterion or standard 
 of correctness by which to settle such a question between 
 standards.* 
 
 The difficulty in such an instance is, however, not in the 
 principle (of presupposition by denial) itself, but in its applica- 
 tion. But there are many cases in which the application of the 
 principle is not so difficult, and the resultant demonstration of 
 truth is entirely clear. For example, geometry is replete with 
 such instances, as are also logic and the whole modern "theory 
 of numbers." Some of these instances will be examined in 
 subsequent chapters. 
 
 In summary it may be said, that the principle of presupposi- 
 tion hy denial is established by induction from those cases 
 where it applies, and that it also confirms itself. No exception 
 to it has been discovered in the realm of those instances to 
 which it has been applied, nor has it been proved false as have 
 the principles of "self-evidence" and the " inconceivahility of 
 the opposite." Accordingly, both the principle itself and that 
 phase of it which is the reductio ad ahsurdimi are to be accepted 
 as extremely reliable logical criteria. 
 
 '' E. g., by Royce, the Eternal and the Practical, Phil. Review, Vol. XIII., 
 No. 2, 1904. 
 
 ^ Consistency, it may be remarked, is open to two interpretations, the 
 pragmatic and the anti-pragmatic. Common to both is the definition of 
 consistency as freedom from contradiction. The pragmatist interprets this 
 as expressing a certain need that we feel, which, when satisfied, is identical 
 with one kind of truth. The anti-pragmatist interprets it absolutely, as 
 a characteristic holding of an objective " state of affairs," especially of 
 that one which characterizes that whole which is the universe. The 
 universe of facts must be marked Vjy consistency. To the anti-pragmatist 
 this is self-evident; its opposite is inconceivable. It is, indeed, presupposed 
 hy its own denial.
 
 136 METHODS AND PROBLEMS OF METHOD 
 
 CHAPTER XVI 
 
 THE NATURE OF CONTRADICTION 
 
 The term contradiction has already been used in a number 
 of discussions. Thus the "law of eontradietion," "contra- 
 dictory terms," "contradictory propositions," and "self-contra- 
 diction" have been referred to, or discussed. The more precise 
 meaning of the term must now be determined. 
 
 On the one hand, contradiction would seem to mean or to 
 involve negation in some way, and in some sense. Yet, on the 
 other hand, experience always has a content. ^'Something" is 
 experienced. Indeed, it would seem to be impossible to experi- 
 ence, and yet experience nothing. Must there not be, then, 
 something positive when we experience negation and contradic- 
 tion, and, if there is, ichat is this positive " something" f^ An 
 answer to this question may be sought as follows : — 
 
 Examples of contradictory terms are, red and not-red, one and 
 not-one, moving and not-moving : of contradictory propositions, 
 All even numbers are divisible by two, and. Some even numbers 
 are not thus divisible; No energy can be destroyed or anni- 
 hilated, and Some energy can be destroyed: of self -contra- 
 dictory terms, round-square: of self-co)itradictory propositions, 
 "Epimenides, being a Cretan, said, 'All Cretans are liars.'" 
 Some of these examples and the states of affairs typified by them 
 may now be examined and analyzed. 
 
 Let us consider first the contradictory terms, red and not-red. 
 It may be assumed that all know (to some degree) what is meant 
 by red, and what red is, and also, that it is generally realized 
 that the term denotes a certain specific group of colors, namely, 
 the different kinds of red. There are many reds. But there 
 are also not-reds, — perhaps, an infinite number of them, includ- 
 ing not only all the other colors, hut also everything else that, 
 like motion, space, time, mass, hardness, and electricity, is not 
 a color at all. 
 
 ^ Cf. Whitehead, Introduction to Mathematics, on the meaning of zero, 
 Chaps. V. to VII.; also Russell, Principles of Mathematics, and Scientific 
 Method in Philosophy (see his index) ; cf. also Bergson, Creative Evolu- 
 tion, Chap. IV.
 
 THE NATURE OF CONTRADICTION 137 
 
 Now it is found to be a fact, that e.g., one and the same 
 surface is not at the same time and in the same area both red 
 and blue. It is either red, or some other color. Colors are, as 
 a matter of fact, of such a character that they exclude one 
 another from existing at exactly the same time and place. But 
 a color and something not a color can coexist under these condi- 
 tions. For example, a specific red and a specific degree of hard- 
 ness can simultaneously be qualities of one and the same 
 surface. 
 
 In relation to a particular red, then, all other "things" are 
 (formally) not this red, yet they are first experienced as quite 
 as positive '"things" as is red itself. Not by themselves, there- 
 fore, but only in relation to red are they negative entities. How- 
 ever, among the not-red "things" there are tivo kinds; the one 
 kind consists of other colors, and these are excluded from co- 
 existing with red at the same time and place; the other kind 
 consists of such "things" as hardness, extension, and motion, 
 that are not so excluded. These other "things" and red can 
 coexist in the same place and at the same time. It is the first 
 kind of "thing," namely, the other colors, that is, therefore, 
 the real contradictory of red, for only between other colors and 
 red '■s there the specific exclusion. But even this exclusion sub- 
 sists only under the specific conditions of the same time and 
 place. For, under the other specific conditions either of dif- 
 ferent times and the same place, or of the same time, and dif- 
 ferent places, there can be both red and some other color. 
 
 Contradiction in the case of terms is thus shown to be a rela- 
 tion that is dependent upon, or that is identical with, exclusion. 
 When and where there is genuine exclusion, there also is con- 
 tradiction. But the exclusion is itself a positive relation between 
 positives. Contradiction and negation are, therefore, only 
 derivatives of this specific relation. For this exclusion to sub- 
 sist there must be certain specific conditions. The two positive 
 "things" that exclude each other must (1) belong to the same 
 kind, i.e., to the same genus, as, e.g., do blue, red, green, and 
 yellow, as colors. The positive "things" must be, to express 
 the matter figuratively, like the arms of a lever, parts of the 
 same complex entity. But, just as a lever must rest on a 
 fulcrum, so also, in order to have a genuine contradiction or
 
 138 METHODS AND PROBLEMS OF METHOD 
 
 exclusion, there must be a "logical fulcrum." This fulcrum 
 is given, in the instance of the entities just examined, by the 
 specific conditions of the same place and the same time. 
 
 The conditions on which a genuine contradiction subsists be- 
 tween propositions are essentially the same as those for con- 
 tradictory terms. In every case of contradictory propositions, 
 one proposition is negative, at least in its "logical form." But 
 a proposition is, as we have seen, a relational complex, and, 
 although there are different types of propositions, all such com- 
 plexes are identical with positive states of affairs. A negative 
 proposition is, therefore, merely the fact of the exclusion of one 
 positive state of affairs by another, but this relationship is itself 
 positive. It may be that in discovering negative propositions, 
 we first endeavor to discover the compatibility of one state of 
 affairs with another, and, failing, formulate the result in a 
 negative judgment. But this judgment, then, only expresses 
 the positive fact of the exclusion. 
 
 All this may be illustrated by an examination of one of our 
 previous examples, namely, that which concerns the divisibility 
 of even numbers by two. Let us grant that there is the objective 
 state of affairs or proposition, "that all even numbers are divisi- 
 ble by two," and also, that there is another state of affairs of 
 "divisibility by two" only with a remainder. If this is the 
 case, then there is also the state of affairs of the exclusion from 
 all even numbers of "divisibility by two with a remainder." 
 But this specific "state of affairs" is also a proposition, which 
 one asserts in the form of the judgment, that it is false that some 
 even numhers are not divisible by two. This last could itself 
 be a proposition, provided only there were a consistent and 
 implicative number system in which even numbers are divisible 
 by two with a remainder. But, if this were the case, this would 
 be a proposition in a distinct and different universe of dis- 
 course from that in which even numbers are divisible by two, 
 just as, e.g., the several postulates concerning parallels are in 
 those distinct universes of discourse which are known respec- 
 tively as the Euclidean, Lobatschewskian, and Riemannian 
 geometries. 
 
 The examination of further similar instances confirms our 
 assertion, that the situation as regards contradictory proposi-
 
 THE NATURE OF CONTRADICTION 139 
 
 tions is the same in principle as it is in the case of contradictory 
 terms. Such terms are positive facts or entities that exclude 
 one another, but that, accordingly , in the case of physical ex- 
 istents, are either in the same place at different times, or are at 
 different places at the same time. In the case of propositions 
 these conditions of place and time do not hold, but, instead, 
 there are conditions which may perhaps best be called logical, 
 and hy virtue of which contradictory propositions subsist in 
 different universes of discourse. These different universes may, 
 in analogy to different places, be called different logical loci. 
 
 The problem of a proposition that is self-contradictory is per- 
 haps more difficult than that of two propositions that are con- 
 tradictory of each other, yet the solution of this problem is 
 similar to that of the two preceding. Propositions, at least 
 those which are identical with the relation of inclusion, complete 
 or partial, positive or negative, between classes, have two op- 
 posites, a contradictory and a contrary. Thus A and 0, and 
 E and I are pairs of contradictory opposites; and A and E, 
 I and 0, of contrary opposites, with the latter two called sub- 
 contraries, as distinct from A and E as contraries. For example, 
 as opposed to the proposition. Nothing is a proposition, there is 
 the contradictory opposite. Some "things" are propositions, and 
 also the contrary opposite. All "things" are propositions. The 
 first of these is a self -contradictory proposition, and exemplifies 
 the type. 
 
 Self -contradictory propositions imply or presuppose their con- 
 tradictory opposite. Thus, Nothing is a proposition, implies that 
 So7ne "things" are propositions, since it itself is a proposition. 
 Self-contradictory propositions are false for the reason that they 
 do thus presuppose their contradictory. They are, therefore, 
 one class of propositions that imply, showing that even so called 
 false propositions have some status, and must subsist in some 
 universe of discourse, namely, in one that is excluded from the 
 universe of true propositions. But, further, in the case of the 
 example under examination, whereas nothing is a proposition, 
 implies that some "things" (at least one) are propositions, this 
 last relational complex or proposition does not exclude, but is 
 compatible with, the specific suhcontrary state of affairs, that 
 some "things" are not propositions. These two ''states of af-
 
 140 METHODS AND PROBLEMS OF METHOD 
 
 fairs" can cosubsist even as red and extension, mass and motion, 
 biological and moral situations can cosubsist. As an example of 
 this we have, within the same universe of discourse both proposi- 
 tions and the '' elements" or terms of these — some of which "ele- 
 ment" are not propositions. 
 
 From this examination of several instances of contradiction 
 we reach the conclusion, that this relation is a specific one, and 
 that it rests in every case upon the positive relation of exclusion 
 between entities that are themselves positive and not negative 
 in character. Contradiction is, then, not a law that is resident 
 in the thinking process, as the psychologizing tendency in logic 
 interprets it to be, nor is it an instrument invented unconsciously 
 by the collective ingenuity of men of European stock; but it is 
 an empirically discovered fact that is characteristic of many 
 "things" in an empirically discovered world, and thinking must 
 conform to it only because thinking must conform to "things," 
 to facts. And that fact which, above ail, thinking must conform 
 to, in order that it shall be correct thinking in regard to the 
 principle of contradiction, is the fact of exclusion. 
 
 One of the instances which might be used in our analysis is 
 the very exclusion or prohibition of thinking certain corrollaries 
 of the principle of contradiction to be false. For example, to 
 attempt to think that two contradictories should both be true, 
 or, that something should be both (1) excluded and (2) not 
 excluded from a universe of discourse, presupposes, in form, the 
 very principle of contradiction or of exclusion, and its cor- 
 rollaries, and, in result, is precluded by this principle. In other 
 words, the principle of contradiction is itself presupposed in the 
 very form of the attempt to deny it. It therefore presupposes 
 itself, or, it excludes its own contradictory.
 
 THE DISJUNCTIVE SYLLOGISM 141 
 
 CHAPTER XVII 
 
 THE DISJUNCTIVE SYLLOGISM 
 
 This method of proof need not long detain us. It is appro- 
 priately introduced at this point because of its connection with 
 exclusion and contradiction. A disjunction is an analysis, fol- 
 lowing the objective facts, into distinct and mutually exclusive 
 entities. These entities may be either terms, such as "verte- 
 brate" and "invertebrate," or propositions, such as "all related 
 terms are dependent on one another," and, "some related terms 
 are independent of one another." The fundamental principle 
 of the disjunction, to be observed in all cases, is, that it shoidd 
 he complete. Since it is identical with exclusion, it is complete 
 in fact. It therefore should also be complete in those judgments 
 which aim to assert the facts. The disjunction is expressed as 
 complete, if all the entities that are excluded by that entity 
 which forms one member of the disjunction, are expressed or 
 referred to in the judgment that formulates the disjunction. 
 This completeness of reference can be obtained either by 
 enumerating in positive form all the several entities that are 
 excluded from one another, or by using contradictories, and, 
 with the disjunction thus expressible in either positive or nega- 
 tive form, these two forms can be converted into each other. 
 
 As an example of these assertions we select the fact that a 
 particular animal, say, a whale, is either a vertebrate or not 
 a vertebrate, i.e., an invertebrate, and also the fact, that a whale 
 is either an invertebrate or a mammal, bird, reptile, amphibian, 
 or fish, for these five "orders" are the suh-classes of verte- 
 brates. But, from the fact that a whale is not an invertebrate, 
 it follows, that it is both a vertebrate and also either a mammal, 
 bird, reptile, amphibian, or fish. And, by further exclusion, if 
 the whale is not any one of these last four, it is a mammal. 
 
 This example illlustrates the logical structure of the dis- 
 juntive syllogism. The major premise asserts the exclusion — 
 exhaustively, if possible. This is done either by using contra- 
 dicforicr. whiih are always exhaustive, since there is no middle
 
 142 METHODS AND PROBLEMS OF METHOD 
 
 ground, or by enumerating all the positive possibilities that 
 come under either one of the contradictories. The minor pre- 
 mise consists in the assertion, either that one of the possibilities 
 is an actuality, or, that it is not. If it is one possibility become 
 actual, then, since by the law of identity a "thing" is itself 
 and not something else, and, since by the law of contradiction it 
 cannot be both itself and something else, there is the implication, 
 that it is not any of the other possibilities; conversely, if there 
 is evidence that a "thing" is not any one of a certain set of 
 possibilities except one, it follows, that it is that one. This asser- 
 tion or denial, in the minor premise, of one or the other of the 
 terras of the disjunction in the major premise, follows the usual 
 principle in logic and mathematics, that to negate a negative 
 is to affirm. Thus, if the minor premise is of the form A is not 
 not-B, where the major premise is of the form, A is either B or 
 not-B, the conclusion is implied, that A is B. 
 
 In constructing a disjunctive syllogism by the use of con- 
 tradictories in the major premise, care must be taken, however, 
 that the terms of the disjunction are such that, if an entity 
 "belongs" to one of the two contradictories, it cannot belong to 
 the other, i.e., is excluded from that other. The danger to be 
 avoided is illustrated by the judgment that a line must he either 
 finite or infinite. This judgment is false for the reason that a 
 line can be hoth finite and infinite — finite in respect to smaller 
 lines, as units of length, and infinite in respect to points. For 
 certainly a line is "made up" of both smaller lines and points, 
 and can, therefore, belong "at the same time" to the two dis- 
 tinct universes of discourse that logically determine finiteness 
 and infinity respectively. The genuine exclusion or contradic- 
 tion in such a case subsists in the fact that as regards points 
 a line cannot be both finite and infinite, and that, if it is the one, 
 it is 7iot the other; also, that as regards smaller lines, it cannot 
 be both finite and infinite, and that, if it is the one, it is not 
 the other. 
 
 The "material" truth of the conclusion of a disjunctive syl- 
 logism depends, then, upon two conditions: first upon the fact 
 of the complete and genuine disjunction or exclusion with which 
 the major premise is identical, and, second, upon the fact, ex- 
 pressed in the minor premise, that a certain "thing" either is
 
 T^E DISJUNCTIVE SYLLOGISM 143 
 
 or is not (identical with, or included in) one of the terms of 
 this disjunction. Thus the two premises are "materially" true 
 (1) if the disjunction subsists between genuine contradictories, 
 and (2) if the "thing" under consideration belongs to the 
 genus which conditions those contradictories. For example, a 
 ''thing" must be either red or not-red, i.e., some other color, 
 provided it belongs to the class of colored ''things." Also, in 
 this instance, the major premise is true, if all positive colors 
 are enumerated. In general, the major premise is correct, if all 
 the positive sub-classes of the genus to which the "thing" 
 belongs, are enumerated. 
 
 However, to ascertain whether or not in any particular case 
 the major premise is materially true in this sense is a problem 
 for empirical investigation, and here our knowledge is always 
 fallible. Evidently it is incumbent upon us in this connection 
 to discover as many actual positive differences among "things" 
 as we can, and to guard ourselves against inferring, from our 
 failure to distinguish, the absence of objective distinctnesses. 
 The minor premise of the disjunctive syllogism is to be estab- 
 lished by any method which will show that the entity under 
 investigation is included in, or excluded from, one or more of 
 the entities involved in the disjunction of the major premise. 
 
 While the disjunctive syllogism has a certain limited use by 
 itself as a method of elimination, its chief value, however, con- 
 sists in its union with the hypothetical syllogism to form the 
 dilemma. As an illustration, let us assume, in accordance with 
 our previous discussion,^ that there are only three possibilities 
 as to the nature of logical principles and entities, namely, that 
 they are all either (1) psychological, or (2) instrumental, or 
 (3) objective. The establishment of any one of these, excludes 
 the other two, or the disproof of any two establishes the third. 
 This is disjunctive reasoning, pure and simple. 
 
 But how disprove any of these possibilities? To do this one 
 might show them to be (1) absurd in some sense, i.e., to be incon- 
 ceivable or self-contradictory, or (2) false as a matter of fact, 
 or (3) false because they involve consequences that are not facts. 
 With any of these demonstrations successful for one possibility, 
 the remaining possibilities would be inferable as true. But, 
 
 ' Chap. XIII.
 
 9M METHODS AND PROBLEMS OF METHOD 
 
 in a process of this kind, we have a dilemma, or a trilemma, 
 according as two or three possibilities are enumerated, and their 
 consequences developed. This method should, accordingly, be 
 presented in some further detail, with a preliminary presenta- 
 tion of the hypothetical syllogism, which is a constituent of 
 every dilemma. 
 
 CHAPTER XVIII 
 THE HYPOTHETICAL SYLLOGISM 
 
 The hypothetical and disjunctive syllogisms and the dilemma, 
 while they are methods of establishing conclusions, do not put 
 an end to the indefinite regress of premises any more than does 
 the categorical syllogism, for their conclusions are materially 
 true only provided their premises are materially true. These 
 premises can in many instances be established by deductions 
 from other premises, but ultimately an appeal to some other 
 method of establishment must be made. This has just been 
 seen to be the case with the disjunctive syllogism. To establish 
 the major and minor premises of this syllogism there must in 
 most instances be an appeal to fact; i.e., by some analytical 
 method one must discover differences among ''things" in order, 
 first, to set up the disjunction, and, second, to include or not 
 include the entity under examination in, or to identify or not 
 identify it with, some one or more of the distinct entities that 
 are asserted by the major premise. 
 
 As a matter of fact, however, all establishment of our judg- 
 ments is hypothetical or conditioned. This mmt he the case:, 
 in the absence both of any one absolute test of truth and of the 
 means for the certain application of such tests as we do have. 
 All deductive proof, all induction, all self-evidence, all "con- 
 ceivahility," and all proof through "presupposition by denial" 
 lack absoluteness both in themselves and in their application. 
 Therefore, even these methods and tests are, in this respect, 
 hypothetical in character.
 
 THE HYPOTHETICAL SYLLOGISM 145 
 
 However, although we have no test or method by which to 
 insure the absolute correctness either of our tests or our methods, 
 or of their application, and also no means by which to make 
 ourselves absolutely certain of the material truth of our pre- 
 mises, nevertheless, in both cases, a high degree of probability 
 is attainable in a great many instances. Indeed there is an 
 immense body of knowledge that is true in this sense, and there 
 are methods of establishment and of proof that have the same 
 standing. Thus, a high degree of probable truth characterizes 
 our knowledge of a great many (1) "things," qualities, and 
 events, and also (2) of the connections and relations in and 
 among these entities. 
 
 One kind of knowledge is, however, almost exclusively, if, 
 indeed, it is not, in some cases, wholly a knowledge of connec- 
 tions. Such knowledge is found, e.g., in pure mathematics and 
 in logic. This means that e.g., in mathematics we freely assume 
 or select various differing sets of propositions, and then proceed 
 to discover their implications. The assumed propositions, pro- 
 vided they give an implicative system, must be facts in some 
 sense, though they need not be existent facts. 
 
 An illustration of such knowledge is presented by the follow- 
 ing example from the field of geometry: Let it be assumed (1) 
 that the spatial universe is bounded by a spherical film and 
 (2) that all "things," including human beings, change in 
 size in inverse ratio to their distance from the center of such 
 a sphere. Then it follows from or is implied by these two 
 assumptions, that if the boundary of the sphere were ap- 
 proached, it would continue to seem to be as tremendously, 
 even as infinitely distant as it would from near the center. For, 
 although there would be "a smaller and smaller distance to go," 
 nevertheless, as the boundary was approached, a human being 
 and all his means of measurement would approach zero in size. 
 Accordingly, the distance ever still remaining to be covered, 
 would continue to seem quite as great, in relation to any ^mit 
 of measurement, as it now seems to be from our own terrestrial 
 center, and with our bodies of five cubits stature.^ 
 
 Who can prove that all this is not the case? For, are not 
 
 * This Non-Euclidean world is described by Poincar6, Science and 
 Bypotheals, trans, by Q. B. Halsted. p. 49 ff.
 
 146 METHODS AND PROBLEMS OF METHOD 
 
 size and distance wholly relative? But, if all "things" were 
 changing size in the same ratio, could we ever become aware of 
 this from observation? Then is not the above hypothesis one 
 that cannot be disproved, although, also, it cannot be shown to 
 state the existent fact? Yet one can make the hypothesis, and 
 deduce from it, i.e., discover its implications. If we do this, 
 we are introduced, however, to a world and a space which are 
 not described by that Euclidean geometry which we learned in 
 our school-days, but by that other geometry, namely, the 
 Lobatschewskian, in which parallel lines meet at the boundary 
 of a sphere, and the sum of the angles of a plane triangle is less 
 than two right angles. 
 
 It is to be carefully noted, however, that in this example it 
 is not asserted, that either the original hypothesis or its conse- 
 quences portray the actual state of affairs in the space in which 
 we live. Indeed, there are reasons, due to the grossness of 
 measurement, why neither the hypothesis nor its consequences 
 can be either shown or not shown to accord with this space. Yet 
 if the original hypothesis could be established for our space, 
 say, by measurement or experimentation, then would the conse- 
 quences which have been stated be the fact about our space, 
 provided those consequences as stated are really implied by the 
 hypothesis. 
 
 Although, now, in this example, the hypothesis can be neither 
 affirmed nor denied to be the existent fact, and although there 
 are any number of similar hypotheses, there are, also, an ex- 
 tremely large 7iumher of propositions, which, as hypotheses for 
 certain consequences, ca^i he affirmed to be existent facts with, a 
 high degree of probability. In fact, propositions of this kind 
 make up the greater part of all the natural sciences. But, with 
 the hypotheses asserted to be existent facts, the consequences 
 likewise are so asserted. It is in this way that science becomes 
 systematic. Connections of various kinds between states of af- 
 fairs are discovered and asserted in hypothetical propositions. 
 Thus, to illustrate, we find that if the moon moves around the 
 earth in a certain path, there will be a solar eclipse. But we 
 discover that the moon does so move, and we affirm the ante- 
 cedent — the hypothesis. But therewith, also, we affirm the con- 
 sequent, namely, the occurrence of the eclipse.
 
 THE HYPOTHETICAL SYLLOGISM 147 
 
 This example illustrates the structure of the hypothetical syl- 
 logism. In general, this method of reasoning and of establishing 
 conclusions consists of a major premise which is the assertion 
 of a connection between two proposition^, an antecedent and a 
 consequent, in the typical abstract form, if a is h, c is d. By 
 the orthodox rules, the minor premise must be either the affirma- 
 tion of the antecedent, or the denial of the consequent. Af- 
 firmation of the antecedent carries with it the affirmation of 
 the consequent : denial of the consequent, the denial of the ante- 
 cedent. But, denial of the antecedent is usually maintained not 
 to necessitate the denial of the consequent, nor affirmation of 
 the consequent, the affirmation of the antecedent, — for there 
 may be other conditions for the consequent than the particular 
 antecedent stated. These rules are held to apply to all cases. 
 
 Undoubtedly, however, there are some connections between 
 certain antecedents and consequents so precise and unequivocal 
 that the limitations stated by these rules do not hold, so that 
 denial of the antecedent does necessitate denial of the consequent, 
 and affirmation of the consequent, affirmation of the antecedent. 
 In illustration, this may be said to be the case with the con- 
 nection asserted by the premise, if one atom of hydrogen and 
 two atoms of oxygen combine, water is formed. However, these 
 unequivocal connections do not seem to be universal. For ex- 
 ample, if electricity passes through a copper wire, heat is gen- 
 erated. But from the fact of heat somewhere, we cannot infer 
 the presence of electricity in a conductor. The rules for the 
 hypothetical syllogism can only be so formulated, therefore, as 
 to cover all cases with certainty. This is done by the rule which 
 demands that we must "either affirm the antecedent, or deny the 
 consequent." 
 
 Our discussion will have made it clear that there is a funda- 
 mental difference between merely asserting a connection of im- 
 plication between two propositions, and asserting the existential 
 character of the antecedent, or denying that of the consequent, 
 i.e., to assert that if a is h, c is d, and if c is d, e is f, and so on, 
 is quite different from asserting that a is h. 
 
 This difference is most important. Wherever we can discover 
 connections and yet are not able to assert antecedents or deny 
 consequents, we can nevertheless discover whole systems of con-
 
 148 METHODS AND PROBLEMS OF METHOD 
 
 sistent and implicatively connected propositions which, for this 
 very reason, and in this very sense, are facts. 
 
 This method offers a means of discovering entities that are 
 not limited to the field of existents. In other vs^ords, it is possible 
 rationally to discover entities and states of affairs that are con- 
 trary to existent fact, or that do not exist, i.e., we can discover 
 what would be the state of affairs, if certain "things" did not 
 exist, indeed, if nothing existed, — defining an existent as that 
 which is correlated either with a specific part of space and a 
 specific part of time (physical existents), or with a specific 
 time alone (mental existents). Such entities — that do not exist, 
 but that are, nevertheless, discovered to be facts by developing 
 consistent systems of propositions, are called suhsistents.^ 
 Indeed, all propositions that concern existents may ultimately 
 presuppose propositions that concern suhsistents. For example, 
 propositions concerning matter and conscious processes presup- 
 pose certain related states of affairs concerning space and time 
 and numher. But space and time and number, though facts, 
 are discovered to be, not existents, but subsistents. This dis- 
 covery agrees with the scientific point of view that these entities 
 are peculiar "things" that concern infinity, endlessness, con- 
 tinuity, and the like, and that are studied, not by physical ex- 
 perimentation, but, independently thereof, by the rationalizing 
 methods of thought and reason.' 
 
 CHAPTER XIX 
 
 THE DILEMMA 
 
 The dilemma is usually defined in the text-books as a syl- 
 logism in which the major premise consists of a disjunction 
 between two hypothetical propositions, the minor premise, of 
 ya disjunction between two categorical propositions, and the con- 
 
 " See Chaps. XLI., XLIV. 
 
 " iScientilie proof of this distinction is found in the fact, e.g., that 
 
 nowhere in the implicative ayatcra of any kind of geometry are such 
 
 entities as mass, momentum, and the like — entities usually identified with 
 matter and existence — found to be implied. Space is thus demonstrated 
 
 to be independent of that ivhich exists, and, in this sense, to be a sub- 
 sistent.
 
 THE DILEMMA 149 
 
 elusion, of a disjunction between either the antecedents or the 
 consequents of the major premise. To illustrate, we may assert 
 as a major premise, that, "If education is popular, compulsion 
 is unnecessary; if unpopular, compulsion will not be tolerated"; 
 and as a minor, that "education is either popular or unpop- 
 ular"; the conclusion is implied, that compulsion either is 
 unnecessary, or will not be tolerated. 
 
 This example is a constructive dilemma, because a disjunction 
 between the antecedents of the two hypothetical propositions of 
 the major premise is asserted as a minor premise. On the other 
 hand, where a disjunction between the de^iials of the two con- 
 sequents is asserted, the dilemma is called destructive. In either 
 case, of course, either the antecedents or the consequents may 
 themselves be negative in meaning, as is the case with one 
 antecedent and the two consequents in the example just given, 
 and the rule then holds, that the denial (in the minor premise) 
 of a negative is an affirmation. 
 
 The technical rules for the dilemma are those of its constitu- 
 ents. The consequent must genuinely depend in some way on 
 the antecedent, and the disjunction must be complete. This it 
 is, if it subsists between contradictories, or if, in the case of 
 contraries, all the possibilities are recognized and stated. The 
 minor premise must be a disjunction either between antecedents 
 asserted or consequents denied. 
 
 For our purposes, however, the dilemma may be advan- 
 tageously defined more broadly as that method of establishing 
 a position, or of showing the necessity of accepting a proposi- 
 tion, by demonstrating that the opposed position or positions 
 lead to consequences that cannot be accepted for the reason 
 either that they are not facts, or that they are absurd, or incon- 
 ceivable, and the like. This may be illustrated by an example, 
 which, though not materially correct in every way, shows the 
 form of this method of reasoning. 
 
 Let us first assert the disjunctive proposition, that we must 
 either tax ourselves or tax other nations, in order to support 
 our own government, and then show the necessity of accepting 
 the first alternative by developing the consequences of the second, 
 to find that they are not acceptable. This is done as follows: 
 First, the hypothetical judgment is asserted, that, if we tax
 
 150 METHODS AND PROBLEMS OF METHOD 
 
 other nations, we must do this cither by force or by beggary. 
 If, now, we can show that this consequent must be denied, then 
 its antecedent must also be denied, and, accordingly, the alterna- 
 tive, that of taxing ourselves, be accepted. 
 
 But this consequent (forcing or begging other nations to pay 
 our taxes) must he denied because of its consequences — i.e., the 
 dilemma in which it places us. For, if we force others to pay 
 our taxes, then we are a pirate nation, while if we ne^ others 
 to pay our taxes, we are a pauper nation. 
 
 But the taxing of others, asserted by our opponent, means 
 either the forcing of others or the begging of others to pay our 
 taxes, in order to support our government. Therefore it means 
 either that we are a pirate nation, or a pauper nation, — a choice 
 that we cannot, in all conscience, accept. 
 
 Therefore, with this disjunctive conclusion thus denied, or 
 not accepted, its antecedent, namely, that we force or beg other 
 nations to pay our taxes, is also denied, as is in turn its ante- 
 cedent, and, therewith, the alternative, that we must tax our- 
 selves, is asserted. 
 
 This example, however, involves a material fallacy in the fact, 
 both that it ignores the real point at issue concerning the nature 
 of import duties, namely, the question, whether direct or in- 
 direct taxation is most advantageous, and, also, that it finally 
 identifies the method of indirect taxation by import duties with 
 taxing other nations. However, this material fallacy does not 
 affect the logical form of the argument. 
 
 I This method of establishing propositions by the dilemma is 
 used very frequently in philosophy, both in getting at basic 
 positions and in arriving at details. In certain cases it is used 
 in connection with the reductio ad absurdum ^ and the principle 
 of "presupposition by denial." To give an illustration, — and 
 one, also, that is of importance for some of our future discus- 
 sions — let us examine the question as to whether the "^latural 
 numbers" are dependent on counting, in order to show that they 
 are not. Here we shall show that the proposition, that the 
 natural numbers are not dependent on counting, can be demon- 
 strated by the fact that the opposed position reduces to on 
 absurdity; it presupposes its contradictory. 
 
 ^ Aristotle recognized the reductio ad absurdum, Anal. Prior, 1, v.
 
 THE DILEMMA 151 
 
 There is the major premise, that, if numbers depend on 
 counting, then "1," as that natural number which has no 
 predecessor, became a fact with the first act of counting; while, 
 if numbers are not so dependent, then "1" was not made a fact 
 by the first act of counting. 
 
 But there is the minor premise, either that numbers are 
 thus dependent on counting or that they are not. 
 
 The conclusion follows, either that "1" became a fact with 
 the first act of counting, or that it did not so become. 
 
 Let us next examine the consequences of the first of the two 
 alternatives stated by this disjunctive conclusion. To do this, 
 let us assume that "1" ivas made a fact hy the first act of count- 
 ing. Now counting is an act, and an act requires time, and 
 begins and ends. Then a time is implied, before this first act 
 of counting took place, when there was no counting. In other 
 words, the time period when there was 7io counting precedes the 
 time period when the first act of counting took place. Therefore 
 this time period — of the first act of counting — cannot be in 
 correlation with the natural number "1" defined as the only 
 natural number that has no predecessor, but must be in correla- 
 tion with, at least, the nattiral number "2," which has a prede- 
 cessor, namely "1." Therefore ''1" does not depend on 
 counting. 
 
 Our dilemma, therefore, leads to a conclusion consisting of 
 a disjunction between contrary opposite propositions, one of 
 which, namely, that "1" depends on counting, reduces to an 
 absurdity in that it presupposes its opposite, namely, that 
 "1" does not depend on counting. But this opposite is the 
 denial of the consequent in one of the hypothetical alterna- 
 tives of the major premise of the dilemma. Therewith, how- 
 ever, the antecedent of this consequent is denied, and the 
 opposite proposition, that numbers are not dependent on count- 
 ing, asserted. 
 
 By quite similar arguments — differing only in ''matter," but 
 not in form — one can demonstrate that the natural numbers do 
 not depend on consciousness or knowing in any form, nor on 
 physical things, nor on space, nor even on time.- All these 
 entities are numerical in several ways, but the natural numbers 
 = See Chaps. XLIII., vii.-x., and Chap. XLIV.
 
 152 METHODS AND PROBLEMS OF METHOD 
 
 themselves are facts that are quite independent of these other 
 entities. 
 
 This is an important conclusion, — given here in illustration 
 — since upon the principle which it involves there depends one 
 of the greatest philosophical systems of history, the Platonic, 
 with its acceptance of the reality of universals, of abstractions, 
 and of ideals as independent of the concrete, particular ''things" 
 of the physical and mental world. It is, indeed, by the principle 
 just illustrated that such ideals as justice can be proved to be 
 real although they are never realized in a world of human beings 
 that exist in space and time.^ 
 
 CHAPTER XX 
 
 ANALOGY 
 
 Eeasoning by analogy is a method that is frequently used in 
 philosophy. For example, in a great many systems the entire 
 universe is regarded as being like a living organism, and there- 
 fore as having a unity in the midst of its manifoldness, even as 
 the parts of a plant or an animal, especially a highly organized 
 one, influence one another and function together to make one 
 living being. The same analogy is also frequently used to 
 demonstrate, further, that the universe is immanently purpose- 
 ful or teleological. Carried to its consistent outcome, this rea- 
 soning leads to the conclusion, that the universe is, indeed, an 
 organism that manifests, perhaps, all the characteristics of life.^ 
 Indeed, if one finds that it is between the universe and higher 
 organisms, such as ourselves, that the analogy holds, then the 
 conclusion is reached, that this all-inclusive living being, the 
 universe, is conscious in all that this may mean, in fact that 
 it may be self-conscious, have memory, purposes, and aims, and 
 even a moral consciousness, and, indeed, be a person and a self.^ 
 
 » See Chap. XLV. 
 
 ' E.g., by Paulsen in his Introduction to Philosophy, and by Bergson in 
 Creative Evolution. 
 
 ' The position of most modern objective idealists; cf. Chaps. XXXIV.- 
 
 xxxvm.
 
 ANALOGY 153 
 
 Another example of an analogy that is frequently used in 
 constructing philosophical positions is the argument from the 
 similarity of the universe to a man-made mechanism or machine. 
 Such a mechanism reveals a delicate and nice adjustment and 
 working-together of parts in order to bring about a certain 
 result and thus accomplish a certain purpose. But this adjust- 
 ment is brought about by a mechanician and contriver. By 
 analogy, it is argued that in nature there are discoverable con- 
 trivances and mechanisms which are even more exquisite and 
 more beautifully adaptative and purposeful as, e.g., the eye, 
 the heart, and, indeed, even the v\^hole universe itself. Accord- 
 ingly it is inferred that for the universe there is also a maker 
 and a purposer. This conclusion is reached in this way by 
 those who accept an external teleology as a position that means 
 a mechanistic view of the physical and even the psychical uni- 
 verse, and the theistic view that there is a Deity, who, as in 
 some sense outside the universe, is its mechanist, its designer, 
 or its architect, if not its absolute creator.^ 
 
 The logical structure of the argument by analogy becomes 
 clear through these examples. Given two "things," as, e.g., 
 the eye and a watch, that are similar in certain respects, namely, 
 in the mutual adjustment of structures and the functioning- 
 together of parts, then are they not similar in further respects, 
 e.g., that the eye, like the watch, has a maker and a purposer? 
 By analogy one concludes that this is the fact. 
 
 Stated formally this method of establishing premises is as 
 follows: Certain entities. A, B, and C, are similar in respect to 
 the characteristics, x and y; but A and B are characterized also 
 by z; therefore C is also characterized by z. 
 
 Clearly the presupposition of this argument is the principle, 
 that whatever is similar in certain respects is also similar in 
 others. But it requires only the statement of this presupposi- 
 tion to make the fact equally clear, that partial similarity does 
 not of necessity carry with it further, much less, complete 
 similarity. In certain instances such further similarity is 
 found ; in other instances it is not. The most that we are justi- 
 fied in concluding, is, therefore, that if there is some similarity, 
 there may be more. That it is even highly prohaMe that there 
 ' Cf. Chaps. VI. and VII.
 
 154. METHODS AND PROBLEMS OF METHOD 
 
 is more, can be justifiably asserted provided only that analogy 
 ceases to be analogy, and becomes induction. Given two typical 
 and random instances, A and B, with each characterized by an 
 X, but with X, e.g., causally or functionally connected with y 
 in these cases; then, if other entities, C, D, E, etc., are char- 
 acterized by X, they are also, with a high degree of probability, 
 characterized by y. 
 
 The crucial problem, therefore, in employing the argument by 
 analogy is that of ascertaining whether or not further similarity 
 really holds or not. But if it does, there is some other reason than 
 analogy for it so doing. It is by virtue of the fact that the sev- 
 eral cases are instances of a law, a principle, a type, or a class, 
 that similarity in respect to certain characteristics carries with 
 it similarity in respect to others. Thus there is a resemblance 
 in many respects between the rocks as we find them often in 
 extremely distinct strata, and the layers of material that are 
 deposited by the waters of the earth's surface today. Does the 
 resemblance go further? The geologist advances the inductive 
 theory that it does, but finds in these two sets of phenomena 
 the results of the action of a common cause. Even as the sedi- 
 ments are to be observed today in a process of stratification, so 
 were the stratified rocks slowly deposited in past ages, gradually 
 to harden through the addition of other materials. 
 
 Can we discover by a similar procedure such features of the 
 universe as will give inductive proof that it belongs to the type, 
 organism, or to the type, machine? If we cannot, then to infer 
 on the basis of analogy that the universe is an organism, or a 
 machine, is extremely hazardous. 
 
 In general we may conclude, that, if reasoning by analogy is 
 valid, then, paradoxically, this validity rests on some further, 
 non-analogical basis. At best analogy can serve only as a basis 
 for the suggestion that there is a certain range of possibilities 
 within which to investigate. Thus the universe may be an 
 organism, or it may be a machine; hut it may he neither. On 
 the basis of analogy one should neither accept nor reject these 
 possibilities, but should hold his judgment in suspense regarding 
 them until evidence and proof from ether sources are at hand 
 to justify a highly probable conclusion one way or the other.
 
 FURTHER IMPLICATIVE SITUATIONS 155 
 
 III. ANALYSIS AND THE NEW LOGIC 
 
 CHAPTER XXI 
 
 FURTHER IMPLICATIVE SITUATIONS AND NEW METHODS 
 OF ESTABLISHING PREMISES 
 
 The discussion of the dilemma and of analogy completes the 
 presentation of those tests and methods that are used in ordinary 
 discourse and argumentation in order to establish premises and 
 furnish proof. But such tests and methods, even if they are 
 not discredited, as is, e.g., the test by self-evidence, are inade- 
 quate to deal with all the problems and situations that the 
 universe presents to the inquiring mind. 
 
 The tests and methods that we have been considering are 
 those that, for the most part, directly constitute the logic of the 
 tradition. This traditional logic is, as we have seen, the doctrine 
 that emanated from Aristotle, and is essentially a logic of 
 classes. As a logic of classes it is, as we have also seen,^ based 
 on the physical thing as that model in analogy to which all 
 entities are conceived of and thought about. Accordingly the 
 principles that form the chief characteristics of this traditional 
 doctrine are: (1) the relations of similarity and of difference, 
 of "member of," of additiveness, of inclusion, complete, partial, 
 and negative, of causation, of inherence, of identity, and of con- 
 tradiction; (2) the subsistence, by virtue of the first four rela- 
 tions, of classes (which are either included in or excluded from 
 other classes completely or partially) ; (3) the principle of iden- 
 tity as applying to each individual and to each class ; (4) causa- 
 tion as holding between individuals, and (5) inherence as holding 
 between the qualities and their sul) stratum, and finally (6) the 
 propositions that are constituted by any of these relations, — in 
 their function of relating terms. 
 
 This traditional Aristotelian logic has controlled the ma- 
 jority of the great historical systems of philosophy, and domi- 
 nates much philosophy even at the present time. Indeed it 
 
 ^ Chaps. I.-III.
 
 156 METHODS AND PROBLEMS OF METHOD 
 
 exercises its influence even on some philosophers who endeavor 
 to criticize both it and the systems that are built upon it.- 
 
 However, in mathematics and in other fields of research in 
 which appeal is made to fact, and not to authority and tradi- 
 tion, modern investigation has shown that the logic of classes 
 is not the only logic, and that the situations described by it 
 are not the only ones in which the relation of ijnplication is 
 present. 
 
 By way of sharply contrasting the two logics one may say 
 that, if the logic of the Greek and Medijeval period was, with 
 few exceptions, one of classes, the logic of modern exact science 
 is one of series. In such isolated instances as the geometry of 
 Euclid, the mechanics of Archimedes, and the astronomical 
 theories of Aristarchus, Hipparchus, and Ptolemy, situations 
 were recognized in which series and their logic are present. But 
 this logic received no formulation either from Aristotle or from 
 his successors in that tradition to which he was the chief con- 
 tributor. Indeed, not until the Archimedean spirit of an appeal 
 to nature was revived by such pioneers as Leonardo and Galileo, 
 and continued by the host of their noble successors, was there 
 opportunity for a break with the tradition and the use of the 
 logic of series. Galileo ^ sounded the trumpet call for the 
 coming advance when, with the insight of genius, he showed by 
 experiment that uniformly changing velocity, i.e., acceleration, 
 ife in a functional relaiion to the time series. In such a rela- 
 tionship there is present much of that logic which received at 
 least partial formulation in the Calculus of Newton and of 
 Leibniz, and which has received its more complete statement 
 in the recent work of such men as Cantor, Dedekind, Peano, 
 Eussell, and Royce.* 
 
 The present knowledge of this modern logic makes it quite 
 clear that the Aristotelian doctrine wholly omits the formula- 
 tion of certain logical principles that subsist in certain situa- 
 tions. These principles are found where there are series. A 
 series is an ordered class of individuals, in which each individual 
 
 * See the modification and the underlying-reality theories of relations, 
 Chap. XXVI., and the whole of Section 1 of Part II. 
 
 • Galileo (Jaliloi, Dialogues, ed. by A. de Salvio, trans, by H. Crew, 
 1914; cf. Mach, Science of Mechanics, on Galileo. 
 
 *See references for Chaps. I. -111., XXVII., XLI.-XLIV.
 
 FURTHER IMPLICATIVE SITUATIONS 157 
 
 has a specific "position" in relation to the position of all the 
 other individuals of the series. The Aristotelian logic is wholly- 
 incapable of dealing with such entities (series), since it recog- 
 nizes no principle of order other than that of the positive or 
 negative inclusion of one class in another. It accordingly is 
 identical with the (tacit) assumption that individuals or parts 
 are, in most cases, related only additively to constitute a whole, 
 and is, therefore, incapable of logically accounting for a whole 
 that has properties different from those of the parts, as, e.g., 
 has a chemical compound in contrast with its elements, and a 
 living being in contrast with the chemical and physical forces 
 of which it is composed. For, parts added, i.e., related addi- 
 tively, give only a swm, i.e., a whole which has properties like 
 those of the parts. 
 
 In contrast with the traditional doctrine, the new logic recog- 
 nizes, therefore, the principle, that a whole may consist of tivo 
 or more kinds of parts, and that the individuals of some of 
 these kinds tnust be related non-additively in order to constitute 
 the whole. Such a non-additive relation is asymmetrical, and 
 is present in every series. 
 
 But, further, the Aristotelian logic is also wholly ignorant 
 of the functional relationship, which plays such a dominant role 
 in modern exact science. Yet that it must be thus ignorant is 
 to be seen from the fact that it excludes series, and a function 
 is a correlation between scries. Accordingly the traditional 
 logic omits the use of the principle, that two entities can be 
 related and yet be independent.^ This principle is typified in 
 the character of that relation which subsists between the two 
 variables (series) of a function. The Aristotelian logic accepts 
 and insists on the opposed principle, that all relatedness 
 carries with it the mutual causal modification of the related 
 entities. 
 
 Finally, the traditional logic omits the principle, that a rela- 
 tion itself unites, in some specific way, the entities related, so 
 that a substance or substratum is not needed to hold these 
 entities together and to mediate the relation. Indeed, modern 
 logic centers very largely on the concept of relations, and the 
 Aristotelian logic, in contrast, on the concepts of substance and 
 ' Sep Chap XXVI.. n., 1.
 
 158 METHODS AND PROBLEMS OF METHOD 
 
 causation. This it must do, since its model is interacting 
 physical things, with a physical thing defined as a group of 
 qualities that inhere in a core-like substance.*^ 
 
 CHAPTER XXII 
 
 ANALYSIS 
 
 The methods of the new logic are both analytical and syn- 
 thetical. To analyze is to discover parts — in or of a whole, — 
 and also the character of the relations between the parts, but, 
 with this accomplished, there is also synthesis. For the pre- 
 liminary to the synthesizing of parts experimentally is, after 
 discovering the parts, to find how to put thera together. But, 
 if experiment is impossible in certain cases, then, with the 
 discovery of parts and the specific character of their relatedness, 
 there already is synthesis. This second method is analysis and 
 synthesis in situ. We start with a whole, and in it discover 
 parts ; but the parts are left undisturhed; still we discover that, 
 related in a certain way, they give the whole "back again." It 
 is this method of analysis and synthesis in situ that is used in 
 mathematics, geometry, and to a large extent also in mathe- 
 matical physics, chemistry, and many other sciences. But it is 
 an important characteristic of this method, that it is not only 
 an analysis and a synthesis in situ, but also a means whereby 
 one discovers facts hy implication and hy type rather than by 
 the specification of each particular indivitlual.^ 
 
 Such a procedure may be illustrated by the example of that 
 analysis of space which is made by geometers at the present 
 time. In giving this example, some of the teims may be left 
 undefined, since they will be readily understood in essentially 
 their correct sense. 
 
 The space in which we perceive physical entities is found to 
 
 e See Chap. III. 
 
 ^ Cf. my " Defense of Analysis " in The 'New Realism, and the article by 
 H. T. Costello, "A Neo-realistic Theory of Analysis," in the Jour, of 
 Phil., Psych., and Scientific Methods, Vol. X., p. 494 ff.
 
 ANALYSIS 159 
 
 consist of three dimensions, with each at right angles to the 
 other two. Each of these dimensions is itself a straight line 
 with no breadth or thickness, and thus quite unlike the pencil 
 or crayon line by which it can be represented. But while this 
 analysis of space is being made, these three dimensions are left 
 in situ, since we cannot experimentally separate them. Further, 
 any one finite line is of definite length in relation to some unit 
 of measurement, and, therefore, can be analyzed into smaller 
 lines, even as a foot is analyzable into twelve inches. Each 
 such smaller line, however, is in turn analyzable into still smaller 
 lines. Let this analysis, now, be continued and repeated up to 
 that point beyond which our instruments of measurement do 
 not take us, and it will be then discovered that the analysis 
 can be "ideally" continued. This realization is accompanied 
 by the further discovery that tliere is a limit which the smaller 
 and smaller lines approach but do not reach, and that this limit 
 is a point. Such a point, as the limit, has no length, no breadth, 
 and no thickness. We cannot see or touch it, indeed, in some 
 cases we cannot even specifically name it. Yet, hy discovering 
 implications, we find that there are such points, in fact, a whole 
 class of them. This is knowledge hy type, and not by specifi- 
 cation. 
 
 But the analysis further reveals both the character of the 
 relation between these points and their numher. The relation 
 is of the same type as is that relation which subsists between 
 the positive integers, 1, 2, 3, 4, 5, 6, n — 1, n, n -\- 1, i.e., it is 
 asymmetrical and tramitive. This means that, if the symbol < 
 stands for the relationship of "precedes," then, e.g., 4 < 5, but 
 not 5 < 4; i.e., the relation is asymmetrical ; also, that, if, 4 < 5 
 and 5 < G, then 4 < 6; i.e., the relation is transitive, or "goes 
 across" from 4 to 6. This means that, like the positive integers, 
 the points of a line form a series, or that the line is a series of 
 points. Further, the number of points is infinite in the sense 
 that any finite part of a finite line contains as many points aa 
 the whole line does, — a discovery that is made by finding that, 
 in respect to points, the whole line is in one-one correspondence 
 with a proper part of itself, a "proper part" being defined as 
 a part that is like tho whole, i.e., that is itself a line. Again, 
 in this respect iho lino ir-. like the series of positive integers,
 
 160 METHODS AND PROBLEMS OF METHOD 
 
 since, in this series, there are as many even integers as there 
 are odd and even. In other words, the whole series is in one-one 
 correspondence with a proper part of itself, namely, with the 
 even integers, as it is, also, with the odd integers. 
 
 The example just given is illustrative of a type of whole that 
 has furnished philosophy and science with many difficult prob- 
 lems from the time of earliest Greek thought to the present. 
 However, some of these difficulties have come from the fact 
 that the analysis which has been attempted has not followed 
 correct logical principles, or that the logic which is actually 
 involved in the entities analyzed has not been discovered. In 
 some cases, also, while the analysis has been correct up to a 
 certain point, it has been incomplete. Often, also, correct 
 analysis has been misinterpreted. Accordingly, in the case of 
 such entities as space, time, and motion, various self-contradic- 
 tions, and peculiar logical situations called "antinomies" have 
 appeared to be involved, and have, indeed, been considered to 
 be back-handed proofs of the correctness of certain philosophical 
 positions, as, e.g., of Phenomenalism. 
 
 CHAPTER XXIII 
 
 ANALYSIS BY INCORRECT PRINCIPLES 
 
 An example of a philosophy that derives support from the 
 difficulties that arise from a fanlty analysis of space and time 
 is Phenomenalism,^ This is the position of the philosopher, Ira- 
 manuel Kant (1724-1804), who is considered b}^ some to be the 
 greatest of all modern philosophers. In one part of his work, 
 The Critique of Pure Reason, Kant develops four so-called 
 "antinomies." By an "antinomy" Kant means a pair of con- 
 trary-opposite propositions each of which can be both proved 
 and disproved. Each can be proved by the rcductio ad ab- 
 surdum of the other, i.e., each is shown to be presupposed by 
 its own denial. Thus it is, also, that each can be disproved. 
 
 The Second Antinomy is here selected in order to illustrate 
 ' See Chap. XXIX.
 
 ANALYSIS BY INCORRECT PRINCIPLES 161 
 
 this peculiar situation and the way in which it is artificially 
 created by faulty analysis. Kant 's formulation of this antinomy 
 is as follows: — 
 
 Thesis 
 
 " Every composite substance in the world is made up of simple parts, 
 and nothing whatever exists but the simple, or that which is composed 
 out of the simple." 
 
 Proof 
 
 *' Assume that composite substances are not made up of simple parts. 
 Then, if we think all composition to be away, no composite part will 
 be left. And, by hypothesis, there is no simple part. Hence, nothing 
 at all will remain, and therefore no substance. Either, then, it is 
 impossible to think all composition to be away, or even after composition 
 is thought to be away, there must be something left, which exists 
 without composition, that is, the simple. In the former case, the com- 
 posite cannot be made up of substances, for composition is merely an 
 accidental relation of substances, which may be taken away without at 
 all affecting their existence as permanent realities. But, by hypothesis, 
 substances do exist, and hence we must adopt the other supposition, 
 that the composite substances in the world consist of simple parts. 
 
 It directl}' follows, that all the things in the world are simple; that 
 composition is merely an external state of those things; and that, 
 although we can never take elementary substances out of their state 
 of composition and isolate them, reason must think of them as the 
 primary subjects, which exist as simple beings antecedently to all 
 composition." 
 
 Antithesis 
 " No composite thing in the world is made up of simple parts, nor 
 does anything simple exist anywhere in the world." 
 
 Proof 
 " Assume that a composite thing or substance is made up of simple 
 parts. Then, as no external relation, and therefore no composition 
 out of substances, is possible except in space, the composite thing must 
 be made up of exactly the same number of parts as the space which 
 it occupies. Now, space is not made up from simple parts, but consists 
 of spaces. Evei'y pai"t of the composite thing must therefore occupy 
 a space. But the absolutely primary parts of every composite thing 
 are simple. Hence each of those simple parts occupies a space. Now, 
 as every real thing, which occupies a space, contains within itself a 
 number of parts that are outside of one another, and is therefore 
 composite; and as this real composite thing is not made up of accidents, 
 since these could not, apart from substance, be outside of one another; 
 we must conclude, that simple substance is composite. . . ."^ 
 
 ' Watson, The Philosophy of Kant, ed. 1895, pp. 160-161.
 
 162 METHODS AND PROBLEMS OF METHOD 
 
 Kant's formulation of this Antinomy is, very evidently, rather 
 obscure, but if it is subjected to a rather violent paraphrasing, 
 it is found to mean: — 
 
 Thesis: Every (composite) substance is made up of simple 
 parts as the condition for there being suhstances at all. For 
 (proof) if there were no simple parts, and yet substances were 
 derived by composition of parts, then we should have something 
 "coming" out of nothing — which is impossible. Therefore there 
 must he ultimate simples (such as are recognized in science 
 today as atoms, or as electrons) in order that there may be 
 substance at all. 
 
 Antithesis: No substance is made up of simple parts, since 
 (proof) if a substance "occupies" space (and it does), it is 
 as "repeatedly divisible," again and again, into ever smaller 
 parts, as is the space which it occupies, i.e., no "smaller 
 part," such as an atom or electron, is absolutely simple, 
 because, as extended in space, it is divisible, and therefore 
 complex. 
 
 A clearer formulation of the same antinomy is one that does 
 not run the danger of examining both substance and space "at 
 the same time," but that considers space alone. 
 
 Such an antinomy of space may be stated in the form : — 
 
 Thesis: Space does not consist of points, revealed by analysis, 
 but must consist of simple parts or spaces (lines, planes, or 
 volumes). 
 
 Proof: Assume the contrary-opposite proposition, namely, that 
 space does consist of points. But a point is unextended. There- 
 fore, if extension be derived from points, — in other words, if 
 space of one, two, or three dimensions is composed of points, 
 then something "comes" from nothing, i.e., the extended 
 "comes" from the ttnextended. But this is (for Kant) im- 
 possible (perhaps because it is inconceivable). Therefore that 
 entity to which the analysis of space leads must, by whatever 
 name it may be called, be extended, i.e., it must itself be space 
 or extension. 
 
 Antithesis: Space does consist of ultimate, unextended simple 
 parts, i.e., of points. 
 
 Proof: Assume the contrary-opposite proposition, namely, that 
 space does not consist of points, but of spaces, i.e., of lines,
 
 ANALYSIS BY INCORRECT PRINCIPLES 163 
 
 planes, and volumes. Then, as extensions, these parts are divisi- 
 ble, as are their parts in turn, and so on, until finally unex- 
 tended and absolutely simple parts are reached. Then it is of 
 such parts, i.e., of points that space consists.^ 
 
 Kant arrives at this antinomy because he unknowingly ac- 
 cepts an incomplete and faulty analysis. This is due to the 
 fact that his attention is directed exclusively to points, and 
 that he ignores the character of the specific relations between the 
 points. But points actually are related in a very specific way, 
 and through the specific relations that hold among them (unex- 
 tended) points do constitute an extended "something" which 
 is space of one, two, and three dimensions. 
 
 To demonstrate this, one has but to grant the principle, that 
 points are related non-additively, or more specifically, that they 
 are related by an asymmetrical and transitive relation^ It 
 follows from this principle, that that whole which results from 
 points so related, namely, space of one, two, or three dimensions, 
 has characteristics that are different from those of the parts, 
 even so different as to "mean" that extension is derived from 
 that which is not extended, — just as, by the same principle, 
 that which is chemical (atoms) is derived from that which is 
 not chemical (electrons), and that which is life (cells) is de- 
 rived from that which is not life (physico-chemical forces). 
 For it is only a whole which is an additive result of its parts, 
 that must resemble these parts as to its characteristics. Kant, 
 however, quite neglected all such non-additive relations. But 
 he was guilty of this neglect because he was unknowingly shut 
 up within the limitations of the Aristotelian logic, as this had 
 come down in the tradition. 
 
 The modern Kantian, however, concludes that this second, as 
 well as the other antinomies, confirms the main contention of the 
 phenomenalistic philosophy, namely, that what we perceive and 
 know is only appearance, and not ultimate reality. For, — he 
 argues, that, while we undoubtedly perceive both space and 
 spatial "things," nevertheless, since iy the antinomy space or 
 extension is self-contradictory, no better proof than this could 
 
 ' Cf. Russell's discussion of Kant's Antinomies in The Principles of 
 Mathematics, pp. 188, 190-193, 259, 458-461. 
 * See Chap. XLIII., vu., for details.
 
 I6i METHODS AND PROBLEMS OF METHOD 
 
 be had, that the perceived ''world" of sense is mere appearance 
 or phenomenon. 
 
 Modern analytical science, however, solves and disposes of the 
 second antinomy of Kant by showing that both thesis and anti- 
 thesis are true. It succeeds in doing this by discovering that, 
 e.g., the line is made up of two kinds of parts, namely, points 
 and smaller lines. The former are not related additively to 
 make up the line, while the latter are so related in certain 
 respects. Further, the line has certain specific and distinct 
 characteristics by virtue of each of the two kinds of parts. Thus, 
 as made up of points, it is infinite, and may also be continuous, 
 while, as made up of smaller lines, it is finite. It is in this way 
 that both points and smaller lines cosuhslst as the parts of a 
 finite line, and with the result that finitude and infinity are not 
 inconsistent, but quite compatible, as distinct characteristics of 
 one and the same entity. Thus it is that modern analysis 
 rationalizes the line, the plane, and the three-dimensional mani- 
 fold, and avoids those difficulties which were met with by the 
 earlier analysts. 
 
 Much of modern exact science depends upon principles which 
 the analysis that has just been presented well illustrates. This 
 analysis leads to the discovery of doth the parts and the rela- 
 tions between the parts.^ By it such wholes as time, space, 
 motion, acceleration, and change in general are rationalized 
 without any contradiction or antinomy appearing. Its results 
 are, therefore, to be accepted at their face value, and are not 
 to be regarded either as human inventions, or as mere appear- 
 ances, and the like, until there are good reasons for so doing. 
 And up to the present all the reasons that have been advanced 
 for so regarding these results have been fallacious. They have 
 been fallacious reasons, either (1) because, with the failure of 
 the attempt to analyze and to rationalize in accordance with 
 some one principle, another principle has not been tried ; or 
 (2) because the analysis has been incomplete, and, therefore, 
 has not discovered all the parts and all the relations, one of 
 both; or (3) because the actual results of correct analysis have 
 been misstated. 
 
 Our second example will, therefore, illustrate those difficulties 
 
 ' Cf . the writer's " Defense of Analysis " in The New Realism.
 
 ANALYSIS BY INCORRECT PRINCIPLES l65 
 
 and failures that are conditioned by incomplete analysis, but 
 that disappear if the analysis be made complete. The example 
 is that of the incomplete analysis of the continuity of a line. 
 Because of its incompleteness, the analysis readily leads to an 
 antinomy of continuity, but an antinomy that as readily dis- 
 appears if the analysis be made complete. 
 
 To demonstrate this, let us consider an instance of an analysis 
 of the continuity of a line that endeavors to account for this 
 continuity by means of the concepts of gaps and of hetweenness. 
 It is then found that it can be both proved and disproved both 
 that the continuity consists in the absence of gaps, and also in 
 their presence. This situation constitutes the antinomy : 
 
 Thesis: Continuity is the absence of gaps. Proof: Assume that 
 the line is made up of points, so that, from any one point to 
 another, there is a distance, or gap. Then, between these points 
 there are other points, and so on. Therefore, if there are enough 
 points to ''fill in" all such gaps, the line is continuous. But 
 there are enough points, since, not only between any two points 
 is there a third point, but also, in any line or distance, there 
 is an infinite number of points. Therefore the line is continuous 
 in that there are no gaps. 
 
 Antithesis: Continuity is the presence of gaps in the line. 
 Proof: Assume that the line is made up of points, and, there- 
 fore, since there is a point between every two points, that there 
 are no gaps — all gaps being filled up. Now if, e.g., the line is 
 of unit length, so that the end points are in correlation with 
 and 1, then the other points are in correlation with the rational 
 fractions. For it is the character of these fractions that between 
 any two of them there is a third. But the rational fractions are 
 also of such a character (as is well known) that the difference 
 between any two of them is finite. Accordingly, if the rational 
 fractions are correlated with the points, as they must be, if any 
 two of them are correlated with two specific points by any scale 
 of measurement, then the finite differences between the rational 
 fractions stand for, or are correlated with, 7iot points, but lines, 
 distances, or gaps, between points. Therefore continuity con- 
 sists in, not the absence of gaps, but their presence. 
 
 This whole antinomy arises from the fact that the analysis 
 is made in exclusive reliance upon intuition and self -evidence
 
 166 METHODS AND PROBLEMS OF METHOD 
 
 rather than upon intellectual experiment and supplementary 
 analysis and testings. To intuition the repeated "betweenness" 
 of points does seem, perhaps, to explain or to define continuity, 
 but it turns out, in fact, not so to explain or define this, but 
 to lead to contradictions and antinomies. However, by a sup- 
 plementary and complete analysis, in which something more 
 than mere "betweenness" is discovered, the genuine character 
 of continuity is revealed and all seeming contradictions in it are 
 removed." 
 
 We may next consider an example of getting into a difficulty, 
 an antinomy, a paradox, through rationalizing and analyzing 
 by means of an incorrect rather than a correct principle. 
 
 Zeno (about 490-430 B.C.) endeavored analytically to ration- 
 alize, or rationally to analyze motion. He tried to do this in 
 a number of ways, but found that every analysis of motion 
 revealed a contradiction somewhere and somehow. Accordingly 
 he concluded that motion and change in general are only 
 illusions, and that rest and permanence are alone real.'^ 
 
 One of his analyses consisted in reducing motion to an ab- 
 surdity. In doing this Zeno assumed an instance of motion, 
 say from a point A to a point B. Concerning this he then 
 argued, that, before one travels this whole distance, one must 
 travel the first half of it, and, before this half, the first half of 
 it, and so on. Therefore, he concluded, one barely gets started, 
 or, indeed, one does not get started at all. For similar reasons, 
 he argued, one could never qtiite reach a destination, since, if 
 one has gone half the distance, then, before one can go the 
 remaining half, one must cover half of it, etc., so that there is 
 always still remaining a fractional part yet to be traveled. 
 Therefore in neither case is there motion. 
 
 Where, now, is the error in this reasoning? It must be 
 admitted that analysis does show that a finite distance consists 
 of, e.g., halves, quarters, eighths, etc., and also that one must 
 cover the first of these fractional parts before one covers the 
 subsequent parts. The error in the argument consists, however, 
 in ignoring the rather technical principle, that, if x and y be 
 
 " See Chap. XLIII., vii.-x. 
 
 'See Burnett, Early Greek Philosophy, 1892, p. 331 ff.; cf. Russell, 
 Scientific Method in Philosophy, p. 165 ff., and Principles of Mathematics 
 in a number of places (see his index).
 
 ANALYSIS BY INCORRECT PRINCIPLES l67 
 
 any two commensurable finite quantities of which x <iy ( < 
 
 meaning "less than"), there is always a number n such that 
 
 nx = y. Contrariwise the error consists in assuming the false 
 
 II II 
 
 principle, that, if x = , where . is any fractional part of y, 
 
 / \ n n 
 
 then n ( — I < 2/- ^s applied to the problem of motion, this 
 \n/ 
 
 last assumption means that, even with a start admitted in which 
 
 the distance x is traversed in the time t, the distance, y = nx 
 
 {y > x), cannot be traveled in the time nt, but only the 
 
 y 
 distance, y —, can be ; in other words it means, that, if a 
 
 11/ 
 
 certain distance x, say, -j- of y, is traveled in the time t, then 
 
 4 
 m the time, ^ X 4, — y cannot be traveled. 
 
 Obviously, however, this conclusion is false, if there is such 
 an entity as uniform rate. For, if there is, then, if any start at 
 all is admitted, so that a finite distance x is traversed in the 
 
 time t, at the rate — , it must be granted that in the time, 
 
 nt, the distance nx {=^ y) can be traversed. 
 
 One cannot avoid this conclusion by maintaining either that 
 there is no start, or that the rate itself is changing. For, on 
 the one hand, finite distances are implied by that which is the 
 limit of the series of decreasing finite distances, namely, the 
 point, at which there would be no motion, while, on the other 
 hand, if there are finite distances, then, for some distance x, 
 
 X 
 
 no matter how small, there is uniform velocity — . 
 
 However, that there are both finite distances and uniform 
 velocities, is presupposed by those very assumptions which are 
 used by Zeno to demonstrate that motion is impossible. But 
 if there are such distances and velocities, then in due time, 
 motion over any distance y is possible, even though it is true 
 
 that any first distance — must be traversed before the second 
 
 n 
 
 distance is traversed, and, also, that after any first distance JL 
 
 n 
 
 is traversed, the distance, e.g., -^, must be traversed before the
 
 168 METHODS AND PROBLEMS OF METHOD 
 
 next '~ is traversed, and so on. For, although there is a 
 
 sum, JL JL. M. — lJI , . . i^ ^ there is also the product ^o 
 
 n n" n^ n° ^ 
 
 Zeno's whole difficulty, therefore, was incurred by rationaliz- 
 ing in accordance with an incorrect assumption or principle. 
 It is evident, then, that when one rationalizes, one should use 
 not only correct methods, but also correct material principles 
 or premises. Otherwise it is quite easy to create seemingly real, 
 but actually only artificial difficulties, and to reach seemingly 
 rational conclusions that contradict sense-given facts, as, e.g., 
 the reality of motion. 
 
 At this point we may advantageously present still another 
 example of an attempt at rational analysis by a false principle 
 rather than by a correct one, of the consequent failure of this 
 attempt, of the conclusions that are derived from such a failure, 
 and, finally, of a consistent and satisfactory analysis of the 
 same complex by a principle that is correct. 
 
 Ever since Zeno and the other Eleatics, certain philosophers 
 have endeavored to analyze change by the use of the two prin- 
 ciples of identity and contradiction.^ This attempt fails, so 
 that the conclusion is reached, that change is only appearance, 
 and that rest and permanence are alone realities. 
 
 The analysis that is made may be stated as follows: Under 
 the influence of the traditional logic, with its dominant concept 
 of thing, the problem is stated in the form of the question, How 
 can a thing change? In solution of this, it is found, that the 
 law of identity applies to a thing, i.e., that a thing is identical 
 with itself. Change, then, if it is a fact, seems to mean that 
 a thing ceases to be identical with itself and becomes something 
 else, i.e., that a thing, A, becomes its contradictory, non-A. At 
 a certain instant, therefore, the thing is, or seems to be, both 
 A and non-A, which "condition" violates the principle of con- 
 tradiction, namely, that a thing cannot both be and 7wt be, have 
 and not have, a certain property. Change, therefore, involves 
 this contradiction, or, it may be said to be self -contradictory in 
 this respect, so that, with it tacitly assumed, that that which is 
 self-contradictory cannot he real, it must be concluded that 
 
 * F. H. Bradley, Appearance and Reality, Chaps. I.-V., especially pp. 
 45-48; also pp. 231-233.
 
 ANALYSIS BY INCORRECT PRINCIPLES 169 
 
 change is not real, but only illusory and apparent, while rest 
 and permanence, or, more generally, that which remains identical 
 with itself, is alone reality. 
 
 Let us now, in contrast, examine the results of the endeavor 
 to analyze change by the use of other principles than those of 
 identity and contradiction, with these latter supplemented, how- 
 ever, and not displaced by such other principles. With our 
 present knowedge of the several specific kinds of relations, of 
 the precise nature of continuity, infinity, and the like, let us 
 assume, at least for the sake of making the experiment, that 
 change is a continuous series, with all that this means by way 
 of those logical principles, entities, and relations that a series 
 involves. The analysis that results not only does not show 
 change to involve any contradiction, but also reveals the opposed 
 analysis to be most inadequate. 
 
 In the first place, a series is not the mere individuals that are 
 present in it, but is these individuals related ni a very specific^ 
 way, namely, by an asymmetrical and transitive relation.** Cer- 
 tain minor limitations of this statement may be neglected here. 
 And, secondly, a series is continuous, if it is in one-one cor- 
 respondence with the real numbers, namely, the series of positive 
 integers, rational fractions, and irrationals in order of magni- 
 tude.^'^ A series is thus quite consistent with the self-identity 
 of each of its members, while it is also more than these members. 
 In a continuous series no member is next to any other, and there 
 is no finite difference between members, or from any one member 
 to another member. ^^ 
 
 If, now, we analyze change in accordance with this logic, we 
 limit the use of the principle of identity, and accordingly give 
 up that definition of change which makes it "the ceasing of 
 something to be identical with itself" and the "becoming some- 
 thing else." For by this new logic, there is no such ceasing, 
 although there are individuals, A and B (non-A), that remain 
 identical with themselves. But there are not only these two 
 individuals, but there are in a continuous series an infinite 
 number of individuals betM'een A and B. The change, then, is; 
 the ordered complex or series of these individuals, each of which, 
 like the change itself, is identical with itself, and does not 
 
 » See Chap. XLIII. " See Chap. XLIII., vii.-x. " /6td.
 
 170 METHODS AND PROBLEMS OF METHOD 
 
 change. Change, therefore, is a different kind of entity from 
 the individuals that are present in it, &nd is not to be analyzed 
 by the principles that apply to those individuals, any more than 
 the moral situation is to be analyzed by examining those uni- 
 verses of discourse from which morality is absent. In a similar 
 way, "individual" and "change" are entities that belong, each 
 to a distinct universe of discourse, with each capable of con- 
 sistent analysis, unless the individuals are simple, each equally 
 real, and neither to be confused with the other. 
 
 CHAPTER XXIV 
 
 MISINTERPRETATIONS OF CORRECT ANALYSIS 
 
 We now reach the third way in which doubt is thrown upon 
 the reality of certain entities, e.g., space, time, and motion. This 
 is done by misinterpreting actual, correct results obtained by 
 analysis. Misinterpretation is quite excusable, if it is not wilful, 
 but quite unpardonable, if it is intentional. With Zeno it was 
 not intentional when he analyzed, e.g., the motion of the arrow, 
 and interpreted the arrow's being at a point at an instant as 
 rest. From this Zeno reached the conclusion that motion was 
 only a sum of rests, and, therefore, was not real, but only ap- 
 parent. 
 
 But Zeno also made a misinterpretation. The arrow's occu- 
 pation of a point for an instant, is not rest, — whatever else it 
 may be. To be at rest the arrow must be at a point for at least 
 two instants, and if for two instants, then for an infinite number 
 of instants between the two.^ Zeno's conclusion therefore falls 
 to the ground. 
 
 Among contemporaneous philosophers Bergson does not hesi- 
 tate to accept Zeno's misinterpretation and to base an anti-intel- 
 lectualistic philosophy upon it.^ Bergson 's argument is, that, 
 because the analysis of motion leads to its contradictory, rest, 
 
 * See Chap. XLIII., vii.-x. 
 
 - In Creative Evolution, Matter and Memory, and Time am,d Free Will.
 
 MISINTERPRETATIONS OF CORRECT ANALYSIS 171 
 
 the analysis falsifies that which is analyzed.^ However, this 
 specific analysis is regarded as typical of all analysis, and there- 
 fore all analysis is held to falsify. Accordingly, the position is 
 arrived at, that, to get at fact, one must not analyze at all, but 
 must rely upon the immediate experience of the (unanalyzed) 
 whole, through intuition, emotion, and the like.* 
 
 To refute Zeno and Bergson, and to undermine those philo- 
 sophical conclusions which the latter bases on that (false) 
 analysis of motion which he accepts, one has, however, only to 
 state correctly the actual scientific analysis of motion that is 
 ready at hand. This analysis shows that the occupation of a 
 point at an instant is neither rest nor motion. It shows, on the 
 one hand, that rest is the occupation of a point for two and 
 indeed for an infinite number of instants, and, on the other 
 hand, that motion is the one-one correlation of two points and 
 therefore of an infinite number of points with two instants 
 and, therefore, with an infinite number of instants. Or, stated 
 in another way, motion is a series of complexes each of which 
 is itself a one-one correlation of a point with an instant.^ But 
 in order to analyze motion in this way into parts that are them- 
 selves neither motions nor rests, one must accept the two prin- 
 ciples, (1) that a whole can be made up of two or more kinds 
 of parts, and (2) that, even though the parts of one type may 
 be related additively to form the whole, those of certain other 
 types cannot be so related. In anything that is an ordered class 
 or series, this last must be the case. 
 
 Motion is a series. It consists, in the case of any finite motion, 
 of smaller motions, but it also consists of another type of parts, 
 each of which is the complex, point-correlated-with-instant. 
 These parts, however, are neither rests nor motions; yet, as 
 related non-additively, or, more specifically, as related asym- 
 metrically and transitively, they are that whole which is motion, 
 and which has properties that are different from those of the 
 parts. 
 
 The results of this analysis furnish, therefore, no oppor- 
 
 ' Bergson, Creative Evolution, pp. 163, 303-313, and a number of other 
 places. Cf. my " Defense of Analysis " in The New Realism, and H. 3. H. 
 Elliot, Modern Science and the Illusions of Bergson. 
 
 * See Chap. XV., rv., 2, and Chap. XL., vu.-ix. 
 
 " See Chap. XLIII., x.
 
 172 METHODS AND PROBLEMS OF METHOD 
 
 tunity for a valid claim that analysis falsifies, on the ground 
 that parts are reached which are the formal contradictory of, 
 and inconsistent with, the whole. Parts that are different from 
 the whole are indeed reached by analysis, namely, such parts 
 as both instants and points, and also those complex parts each 
 of which is an instant related in a one-one manner to a point. 
 But none of these parts is of such a character that it is pre- 
 cluded from cosubsisting with a whole that is a non-additive 
 result, and that has distinct and peculiar properties of its own. 
 Such a consistent analysis demands, however, the principles that 
 are formulated above, and that are accepted in the new logic, 
 but ignored by the old. 
 
 All this presentation of the methods and results of the modern 
 analysis of space, time, motion, and change is most important 
 for our purposes. For it shows that, since such entities can be 
 analyzed and rationalized in a manner that is quite free from 
 contradictions and antinomies, we are relieved from attaching 
 any more philosophical importance to them than we attach to 
 the other innumerable facts of science and common sense. 
 Nevertheless a great many influential philosophical systems have 
 been founded in part upon the difficulties and contradictions that 
 have been found in, e.g., the infinity and the continuity of space 
 and time, in motion and in change, and the like. Every phi- 
 losophy must, indeed, consider these problems in connection with 
 the cosmological problem. But today, with a consistent analysis 
 of all these entities at hand, one is left free to consider the 
 fundamental differences between philosophical systems upon 
 some other basis — a procedure that will be adopted in consider- 
 ing, in the later sections of this volume, the solution of philo 
 sophical problems.
 
 THE METHODS OF THE NEW LOGIC 173 
 
 CHAPTER XXV 
 THE METHODS OF THE NEW LOGIC 
 
 Summary 
 
 The foregoing presentation of analyses that are made of such, 
 entities as change and motion, shows that there are logical 
 methods and principles that are quite different from those of 
 the logic of the tradition. Some of the most essential features 
 of contrast between the two doctrines may now be advanta- 
 geously summarized. 
 
 I. The new logic is opposed both to the psychologizing tend- 
 ency, and to the pragmatic. The standpoint of the new logic 
 is, that logical principles are present in entities, i.e., that they 
 are objective. Toward them one takes the attitude of empirical 
 procedure and of discovery. This means that there may be in 
 this richly endowed universe any number of different logical 
 principles, entities, and situations. It is, therefore, the em- 
 pirical study of entities that extends the field of logical science, 
 and no one should be so brash as to delimit this field to certain 
 logical principles, thus to preclude the possibility of its exten- 
 sion by new discoveries. Indeed, the necessity of maintaining 
 the ''open door'- in this respect, is shown by the fact that it 
 is impossible to solve certain problems by the principles of the 
 old logic, but quite possible to solve these same problems by the 
 new logic. 
 
 II. The old logic is a logic of substance and qualities, — of 
 things with a core in which qualities inhere. The new logic is, 
 in contrast, one in which these concepts, even if they are not 
 given up entirely, play a minor part, and the concept of rela- 
 tion plays the major role. 
 
 III. The new logic emphasizes relational propositions, exem- 
 plified by '^A is less than B.'' These propositions cannot be 
 reduced to the subject-predicate propositions of the old logic, 
 in which the predicate is interpreted to be a property of the 
 ;§ubject.^ 
 
 * Cf. Russell, Principles of Mathematics, in various places, and Royce's 
 Essay, the " Principles of Logic," in the Encyclopedia of the Philosophical 
 kiciencea.
 
 tl74 METHODS AND PROBLEMS OF METHOD 
 
 IV. The new logic consists largely of those principles which 
 are discovered by the analysis of series. This means, again, that 
 the new logic recognizes many types of relations which the old 
 logic quite ignores. The old logic makes no recognition of series, 
 but only of such wholes as are additive, conceptual, causal, 
 organic, thing-like (substance and attribute), syllogistic, and 
 numerically single. The chief relations which the old logic 
 accordingly recognizes are additiveness, similarity and differ- 
 ence, causation, inherence, "member of," inclusion, identity, 
 and contradiction. It therefore omits ynany very fundamental 
 relations, especially such as are involved in series. 
 
 Some of the most important types of these relations are the fol- 
 lowing: (1) Asymmetrical relations, defined as such relations, R, 
 between a and h, as preclude the identity of the inverse relation, 
 E, with the original: e.g., a <h, precludes h <, a. (2) Transi- 
 tive relations : e.g., a <.h, h <i c implies, a < c. Asymmetrical 
 and transitive relations are recognized by the new logic as sub- 
 sisting between individuals as well as between classes ; but, by the 
 old logic, they are recognized as subsisting only between classes; 
 e.g., if A, B, and C are three classes, and A is included in B, 
 and B in C, then A is included in C (3) Correlating relations, 
 e.g., between the men of a regiment and their guns, where one 
 and only one specific gun is assigned to each man; such cor- 
 relating relations are present in one-valued functions. (4) The 
 new logic recognizes functional relations, where the old logic 
 accepted only causal relations. The entities that are function- 
 ally related are variables, and a variable is a series. (5) A 
 functional relation is identical with a specific type of relation 
 that is compatible with both r elatedness and independence, as 
 is illustrated by the relation between time and motion. (6) The 
 new logic emphasizes the method of using relations of implica- 
 tion to discover types of entities of which no individual is 
 specifiable. Thus it is possible to discover that, e.g., V 2 is the 
 limit of two series, the one series with individuals that are all 
 greater than this limit, the other series with individuals that 
 are all less than this limit, without it being possible to specify 
 that limit, other than to say, that it is a; (ic = V 2 ), and is such 
 that x'^ ■=■ 2. 
 
 V. The old logic ignores this principle and method of dis-
 
 THE METHODS OF THE NEW LOGIC 175 
 
 covering limits, although upon it is dependent the discovery, 
 that a whole can consist of non-finite as well as of finite parts, 
 e.g., — in the case of a line, — of points as well as of finite smaller 
 lines. 
 
 VI. The new logic solves the problems of infinity and con- 
 tinuity through its recognition of this principle of limits in 
 connection with its recognition of asymmetrical, transitive, and 
 one-one correlating relations.^ 
 
 VII. The new logic recognizes and uses the principle, that 
 most wholes are of that type in which the parts are related 
 non-additively to constitute the whole. This allows for different 
 kinds of parts in the same whole, each set of parts being related 
 in perhaps a specifically different non-additive manner. Also, 
 one class of parts may be related additively, while all others are 
 related non-additively. 
 
 VIII. It results that one and the same whole may belong to 
 different universes of discourse, — to one, by virtue of one kind 
 of part, to another, by virtue of another kind. Accordingly 
 those characteristics of a whole that are the relational result of 
 one kind of part are not deducible from those that are the rela- 
 tional result of another kind.^ 
 
 IX. The old logic accepts the principles of the inconceiva- 
 bility of the opposite and of self-evidence as norms of absolute 
 truth ; the new logic looks askance at these tests, and sets up 
 propositions only as postulates from which to develop conse- 
 quences. 
 
 BIBLIOGRAPHY 
 
 The following are some of the articles and books in which the principles, 
 the details, and the application of the new logic are ]jresented (cf. the 
 bibliography for Chap. XLIIL): Cassirer. tiuhptanzhegriff vnd Funktions- 
 begriff ; Huntington, "The Continuum as a Type of Order," Annals of 
 Mathematics, 1905; A. B. Kempe, "The Subject-matter of Exact Thought," 
 Nature, Vol. XLIII., 1890, p. 156 ff.; Nernst, Theoretische Chemie, trans. 
 K. A. Lehfeldt, p. 365; C. 8. Peirce, "The Logic of Relations," Monist, 
 Vol. VII., 1897, p. 353 ff.; Royce, "The Relations of the Principles of 
 Logic to the Foundations of Geometry," Transactions of the Am. Math, 
 t^oc. Vol. VI., 1905, p. 161 ff.; also '" The Principles of Logic" in the 
 Encyclopedia of the PhilosopJiical Sciences; B. Russell, Principles of 
 Mathematics, 1903, and Scientific Method in Philosophij, 1914; White- 
 head and Russell, Principia Mathematica ; Whitehead, Introduction to 
 Mathematics ; J. W. Young, Fundamental Concepts of Algebra and 
 Geometry. 
 
 ' See Chap. XLIII., viu.-x. ' See Chap. XLIII., iv., v., vi.
 
 176 METHODS AND PROBLEMS OF METHOD 
 
 IV. THEORIES OF RELATIONS 
 
 CHAPTER XXVI 
 
 THE THEORIES OF EXTERNAL AND INTERNAL 
 RELATIONS 
 
 I. THE FORMULATION OF THE THEORIES 
 
 A FURTHER point of contrast between the old and the new 
 logic concerns the problem as to how a relation relates. The, 
 examination of this problem is of fundamental importance, since 
 certain specific theories that are advanced in solution of it 
 logically condition each of the great philosophical systems that 
 we shall examine in detail in Part II. 
 
 This problem has itself come to recognition primarily because 
 of the influence of that relational point of view which is the 
 core of modern logic. For, if it is not substance and not cause, 
 but events, disembodied qualities, and relations, especially the 
 last, that form the basis of the new logic, then the problem 
 very naturally arises as to how a relation relates. 
 
 Whatever the specific character of the relation may be, and 
 to whatever type of relation it may belong, there are at the 
 present time two main theories in answer to this problem. Each 
 theor}^, further, is regarded by at least some of its adherents 
 as holding exclusively for all relations. 
 
 These two main theories are, respectively, those of external 
 \relations and of internal relations. The latter theory is in turn 
 subdivided into what may be called the mutual modification 
 theory, and the underlying- or transcendent-reality theory. The 
 adherents of each of these theories maintain that their par- 
 ticular theory can be established both by induction and by 
 other proof, such as "the presupposition by denial." 
 
 In order to formulate these theories, we will use a and h for 
 the two related terms, K for the relation between the terms,
 
 THEORIES OF RELATIONS 177 
 
 and the symbols | for "independent," > for "influences," 
 
 and ^ — y^— ' for "underlying and mediating." 
 
 The theory of external relations may then be expressed in 
 the form oi a\R\h, meaning by this, (1) that, if two terms are 
 related, neither term influences the other, (2) that the absence 
 of either term would be ivithout effect on the other, (3) that 
 either term may come into being and into relation with the 
 other term without affecting it, (4) that, accordingly, no terra 
 is complex by virtue of being related, and (5) that no third 
 
 term, u, underlying a R b in the sense of « — . — - . is necessary 
 
 U 
 in order to mediate the relationship between a and 6. Briefly, 
 
 the theory of external relations is, that relaiedness and inde- 
 pendence are quite compatible. 
 
 The theory of internal relations is a direct denial of these 
 main propositions of the theory of external relations. 
 
 The "modification aspect" of the internal theory may be 
 
 expressed by the symbol, a^Rb^, meaning by this, that, if two 
 
 terms are related, (1) each term influences the other, (2) 
 that related terms are complex. (3) that either terra out 
 of relation with the other would be different from what it 
 is in relation to that other, (4) that terms are what they 
 are by virtue of being related to other terms (the organic 
 view). 
 
 This modification theory of relations may, or may not be held 
 together with the "underlying reality aspect" of the theory of 
 internal relations. This last theory by itself is expressed by 
 
 ^ — , — ' , meaning by this, that, if two terms are related, and 
 
 V 
 whether they modify each other or not, there is an underlying 
 
 or transcendent reality, U, to mediate this relation, indeed to 
 make it possible at all. 
 
 Some of the adherents of the theory of external relations 
 regard it as holding without exception for all terras and rela- 
 tions,^ while others maintain that it holds only for some rela- 
 tional complexes.^ In contrast with this, the advocates of the 
 "internal theory," as it may be called, insist, according to that 
 
 ' I"]. B. Holt in The New Realism and in The Concept of Consciousness. 
 * The writer in the present volume.
 
 178 METHODS AND PROBLEMS OF METHOD 
 
 aspect to which they are inclined, either that the "modification 
 theory" or the "underlying-reality theory" holds for all rela- 
 tions. 
 
 II. THE PROOFS OR ARGUMENTS FOR THE THEORIES OP RELATIONS 
 
 1. The Theory of External Relations 
 
 We may first consider the proof of the theory of external 
 relations. This proof is twofold. One part of it depends on 
 the result of an appeal to concrete fact; the other part is the 
 demonstration, that the validity of the external theory is pre- 
 supposed by that very denial which it receives in the internal 
 theory. This last demonstration will be presented first. 
 
 To prove that there are terms which are related and yet do 
 not affect, modify, or influence one another: — 
 
 First Proof. Let this proposition be denied, i.e., let us assume 
 that any two related terms do affect each other. Then these 
 related terms are complex.^ But, as complex, they consist of 
 parts, which in turn are related. Therefore, these parts must, 
 by the same hypothesis, also affect one another and be complex, 
 and so on, in an infinite series. Ultimately, therefore, there 
 must be simple terms that make all this complexity possible, but 
 that are themselves not complex. Yet these ultimate, simple 
 terms are related to one another. Therefore, as related, and 
 yet as simple, they do not modify one another, but are 
 independent, — in just this sense, namely, of not modifying one 
 another. 
 
 Points and instants are examples of such ultimate simple 
 terms, which, though they cannot be isolated or identified by 
 physical experiment, are nevertheless discovered by an analysis 
 in situ. It is also found by the same method that these entities 
 are related, and yet that they do not affect one another, so as 
 to make one another complex, although as related by specific 
 relations they form specific complexes, namely, space and time 
 respectively. The modern analysis of space and time demands, 
 therefore, the theory of external relations/ and accordingly 
 
 ' Cf. Kussell, " The Basis of Realism," Jour, of Phil., Psych., and Scien- 
 tific Methods, Vol. VIIL, 1911, p. 15811. 
 * See Chap. XLIII., viu.-x.
 
 THEORIES OF RELATIONS 179 
 
 the thesis is proved, that at least some terms do not, as related, 
 affect or modify one another, and are, in this sense, inde- 
 pendent. 
 
 This same conclusion can also be established by induction, 
 i.e., we can get instances of related terms that do not affect one 
 another. Thus it is evident that if, as a result of analysis, one 
 accepts genuine points and instants, then these are to be regarded 
 as instances of terms that are both related and independent. 
 But there are, also, other instances. One of the most frequent 
 practices of physical science is that of employing methods by 
 which certain phenomena are isolated, and yet left in situ, i.e., 
 in relation both to one another and to other phenomena. Pur- 
 suing this method, physical science discovers that, although time 
 is related to space, to matter, and to change in general, it is, 
 nevertheless, independent of these. In fact, in all physical 
 science, time is the independent variable. In the case of a 
 great many phenomena it is a leading problem, therefore, to 
 find how "things" are related to, or vary with time. This 
 problem occurs, e.g., in the investigation of the motion of a 
 falling body, in which case it is found that both the body and 
 the motion are related to many other "things," but that the 
 motion, in respect both to itself as motion and to the change of 
 velocity, or acceleration, is related to time as if this were the 
 only referent. The distance traveled by a falling body is the 
 specific function, s = t-, while the velocity is directly propor- 
 tional to the time elapsed, and the acceleration is directly pro- 
 portional to the time increment. Distance traveled, velocity, 
 and acceleration are, therefore, each related to time, but the time 
 is neither modified nor constituted by virtue of these relation- 
 ships, as also conversely, neither the space, the velocity, nor the 
 acceleration are causally affected by the time. 
 
 These instances are typical. Mechanics, chemistry, and 
 physics are replete with cases of functional relationships between 
 variables, each of which is a series of individuals, just as time 
 is a series of instants. Each variable, also, is related to many 
 "things," of which it is independent. There are, therefore, 
 complex as well as simple entities that furnish data, in respect 
 to the relatonships in which they stand, for a generalization to 
 the theory of external relations. This proof by induction con-
 
 180 METHODS AND PROBLEMS OF METHOD 
 
 jBrms, therefore, the first, indirect proof of the external theory, 
 and together, both proofs show that the modification theory of 
 relations is one that is at least limited in its range, if, indeed, it 
 is not altogether invalid. 
 
 A similar conclusion is also reached as a result of the examina- 
 tion of both the argument and the empirical evidence for the 
 underlying-reality theory of relations. This specific theory can 
 be shown to presuppose its contradictory, or contrariwise, the 
 theory of external relations can be demonstrated to be presup- 
 posed by it. To give this proof, let us assume that, in order 
 that any two terms, a and h, may be related, there must be an 
 underlying, unitary reality, U, to mediate the relation. Then, 
 by supposition, this U is simple, and not complex, since, if it 
 were complex, its parts would, by hypothesis, require another 
 V to relate them, and so on indefinitely. Let us assume, there- 
 fore, that V is absolutely simple, and not complex. But even 
 then, as the mediator of the original relation, it is related not 
 only to a, b, and R, but also to the complex, a R h, so that, 
 again, by the original assumption, there is required still another 
 TJ to mediate this relation, and so on in an infinite regress. For 
 every U that is thus reached, since each such TJ is related to 
 that which it mediates, there is implied still another TJ. There- 
 fore each such TJ is only a member of a series, and not such an 
 all-including and all-mediating TJ as is sought. The result is, 
 that no all-relation-mediating TJ is ever arrived at. Even on 
 the basis of the original assumption, which is thus shown to 
 be self-contradictory, it is only the series as a whole that includes 
 every TJ. But an infinite series already subsists in its unity if 
 specific relations subsist to relate its terms. These relations 
 are (1) one-one correlating relations between proper part and 
 whole, and (2) asymmetrical and transitive relations among 
 the individuals of both whole and part. But another term, out- 
 side the series, is, by empirical methods, not found to be neces- 
 sary, in order to give the series unity. The relations already 
 present suffice to give it this. We may conclude, therefore, that, 
 in the case of a being related to b {i.e., a R b) the relation 
 itself is sufficient to give all the unity that there is, even as is 
 the case with the infinite series. No underlying U is needed 
 either to give unity to, or to mediate the relation between, the
 
 THEORIES OF RELATIONS 181 
 
 related terms. But that the relation is itself thus sufficient, is 
 precisely the position of the theory of external relations. 
 
 The supplementation of this indirect proof of the external 
 theory by the empirical disproof of the underlying-reality 
 theory is remarkably easy. Strictly empirical procedure, either 
 experimental or otherwise, discloses not a single instance of a 
 one '^ something ," of a TJ, that mediates the relation betweefi 
 two or more terms. Indeed, every so-called instance proves to 
 be only one that is inferred from the tacitly or explicitly as- 
 sumed validity of the underlying-reality theory. Thus, e.g., 
 previous to Locke and Berkeley, the position was commonly 
 taken, that in every physical thing, a suhstance-like sutstratum 
 or core held the qualities together, but Locke was not very 
 certain of the presence of this substratum, and Berkeley denied 
 it entirely for physical things, though he held to an analogous 
 substance for ideas. Hume, however, denied even such a soul, 
 or spirit, and held to the factuality only of impressions and 
 ideas.^ Physics of the present day follows Berkeley's position, 
 and psychology follows Hume's, so that it is disembodied quali- 
 ties, events, and relations that are now studied in these sciences. 
 Indeed both physics and mechanics, in arriving at general laws, 
 disclose functional relations that are instances of the more 
 general theory of external relations. This theory has, therefore, 
 at least some range of application, while the underlying-reality 
 theory seems to have no validity at all. Whether, now, this is 
 the case also for the modification theory we shall shortly con- 
 sider. 
 
 The basis on which the theory of external relations rests is, 
 accordingly, the twofold one, (1) that it is presupposed by its 
 own denial as this is made in both aspects of the theory of 
 internal relations, and (2) that it is confirmed by induction 
 from positive cases of related terms in which no term modifies 
 others, and no underlying reality is found empirically. There- 
 fore, at least some terms are related in accordance with the 
 theory of external relations. Are all terms so related, or, are 
 some terms related in accordance with the principles of the 
 modification theory ? '^ 
 
 ' See Chaps. XXX. and XXXI. 
 
 "The theory of external relations is accepted, and evidence and proof
 
 182 METHODS AND PROBLEMS OF METHOD 
 2. The Modification Theory of Relations 
 
 The adherents of this theory usually maintain that it is of 
 universal validity, to the complete exclusion of the theory of 
 external relations, though not of the underlying-reality theory. 
 This last theory may, or may not be held together with the 
 modification theory. 
 
 The proof that is presented for this modification theory is 
 twofold. One proof is the (attempted) reductio ad absurdum 
 both of the theory of external relations and — for some related 
 terms — of the underlying-reality theory in the form that has 
 just been presented. The other proof seems to be inductive. 
 
 Let us first consider the argument by which it is attempted 
 to reduce the theory of external relations to an ahsiirdityJ To 
 give this proof, let us assume the external theory to apply to 
 the relational complex, a R h. This means that, though a and b 
 are related, they are also independent. Then, so the argument 
 goes, the absurdity appears, that the terms a and b cannot be 
 related at all, on the ground that, if they are (assumed to be) 
 independent of each other, they are also independent of R (and 
 
 of it are presented by the following writers: Perry, in The New Realism, 
 in his essay on "Independence"; Russell, Principles of Mathematics, 
 p. 09 If . and p. 221 ff., and in several other places; "The Monistic Theory 
 of Truth," Philosophical Essays ; " The Basis of Realism," Jour, of Phil., 
 Psych., and Scientific Methods, Vol. VIII., p. 158 If. ; "On the Nature of 
 Truth," Proceedings of Aristotelian Society, 1907, N. S., Vol. VII., pp. 
 28-49; Spaulding, " A Defense of Analysis " in The Keio Realism, p. 155 If.; 
 Marvin, First Book of Metaphysics, Chaps. VII. -XIII. 
 
 For instances of the independence of related terms and for a discussion 
 of this problem see Chap. II. of this volume; also Perry, "A Realistic 
 Theory of Independence " in The New Realism ; W. H. Sheldon, " Chance," 
 Jour, of Phil., Psych., and Scientific Methods, Vol. IX., 1912, pp. 281-290; 
 E. V. Huntington, " Sets of Independent Postulates for tlie Algebra of 
 Logic," Transactions of the American Mathematical Society, Vol. V., 1904; 
 J. VV. Young, Fundamental Concepts of Algebra and Geometry ; Stout, 
 "Alleged Self-Contradictions in the Concept of Relation," Proc. Aris. Sac, 
 Vol. II., pp. 191-192. 
 
 ' This is very definitely attempted by Bradley in Appearance and Reality, 
 pp. 1-120, and by Joachim in The Nature of Truth, especially in Chap. III. 
 The position is also accei)tcd essentially without any examination of its 
 grounds and almost as self-evident by Bergaon in Creative Fvolution, 
 pp. 9, 11, 160-16.3, 188, 303, 338-340, and by Wm. James in Pragmatism, 
 p. 134 ff. Royce, in J'he World and the Individual, in the first four 
 chapters, especially Chaps. III. and IV., maintains it in the form of the 
 principle, that relatednrss implies dependence. This is also the position 
 of Lotze, Metaphysics, I., trans., ed. by Bosanquet, Chap. VI., pp. 166-169. 
 Bradley, in Essays on Truth and Reality, 1914, does not depart from his 
 earlier position.
 
 THEORIES OF RELATIONS 183 
 
 so are not related,).^ Accordingly it is to be inferred that 
 in order to get or to have the terms related — which is the 
 desideratum — there must be other relations to relate the original 
 relation R to a and to h, and also, as alone consistent with this 
 implication, still other relations to relate these relations to one 
 another, and so on, in an infinite series.^ But, it is maintained 
 (though falsely), an infinite series cannot by its very nature 
 ever be completed. Therefore it is inferred that, by the princi- 
 ples of the theory of exter^ial relations, terms are never re- 
 lated. Accordingly it is inferred, conversely, that, in order to 
 have terms related, or to explain how a relation relates, one must 
 accept the "internal theory'' to the effect, that related terms 
 are dependent in the sense that they influence, modify, and 
 affect one another}'^ As a result, all terms hecome, or are com- 
 plex, indeed infinitely so; for, on the one hand, any so-called, 
 simple term is a complex of the effects produced in it through 
 its being related to all other terms, and, on the other hand, since 
 these effects are in turn related, they affect one another, and 
 so are also complex. 
 
 In criticism of this modification theory of relations, one may 
 attack either the foregoing argument, or the position that the 
 theory is of universal applicability. But that the theory is of 
 limited validity and applicability is shown by the fact, that it 
 leads to the position, that all terms are complex, and thus be- 
 comes self-contradictory. For complexity presupposes at some 
 juncture ultimate simples as the components of all else that is 
 complex, and such simples, though related, must he unmodified 
 hy and independent of one another. The argument for the 
 modification theory thus leads to the limitation of the theory 
 itself. 
 
 But, quite apart from this outcome, the argument for the 
 theory may itself be refuted as regards its logical procedure. 
 For, at its very beginning, the very question at issue is begged, 
 when it is assumed that the theory of external relations means 
 that, if terms are independent, they cannot he related, and that 
 the relation does not relate them. All the rest of the argument 
 
 * Royce, ihid. 
 
 ' Bradley, Appearance and Reality, pp. 32-33. 
 
 *° Maintained by all the adherents of this position.
 
 184 METHODS AND PROBLEMS OF METHOD 
 
 proceeds from this unwarranted assumption. Accordingly the 
 argument is 71 ot in the least a disproof of the theory of external 
 relations, but is 07ily a denial, and merely to deny is never to 
 disprove. 
 
 Is there any proof or evidence at all, therefore, for the modi- 
 fication theory of relations, by which this theory can be shown 
 to hold even for some instances of related terms, if not for all ? 
 The theory certainly does not hold for simple terms, nor for 
 those complex terms which, like time, space, motion, and accelera- 
 tion, are either series or functions in the precise sense of these 
 terms. But for a specific kind of complex term, namely, for 
 so-called organic wholes, it does seem to hold. 
 
 An example of such wholes is any individual plant or animal. 
 The parts of these wholes are related, and they do interact 
 causally — though, perhaps, not because they are related, but 
 because this is the specific kind of relation between them. Thus, 
 e.g.f the lungs, heart, muscles, and brain of a vertebrate causally 
 influence one another, and develop in mutual causal dependence, 
 in the growth of every individual from a fertilized ovum to 
 maturity. But living beings, both plant and animal, also 
 causally interact with their physical environment. In fact it 
 would seem not only that organic beings, but also that the 
 "things" of the inorganic world are related to and causally 
 influence one another. Yet, if this means that the modification 
 theory of relations is here applicable, it does not mean, how- 
 ever, that this theory applies to every complex of related terms. 
 For some entities, as, e.g., motion-related-to-time, are complexes 
 whose parts are related, yet are causally independent, i.e., whose 
 parts are related in accordance with the theory of external rela- 
 tions. In certain complexes, furthermore, certain terms may 
 be related, and yet be independent, while others are related 
 causally. Thus, e.g., the parts of a shooting sky rocket are in 
 causal (chemical) interaction as the rocket moves, and yet the 
 mass and the changing velocity of the rocket are in a relation 
 of independence to the chemical composition, to the time, and 
 to the "path." 
 
 This distinction corresponds to that distinction which sub- 
 sists between causal and functional relations. Functional rela- 
 tions subsist by virtue of a specific correlating relation between
 
 THEORIES OF RELATIONS 185 
 
 the individuals of two series. Thus the changing velocity or 
 the acceleration of a falling body is a function of the time, but 
 it (the acceleration) is also, as are the time and the space, a 
 series. Causal relations, on the other hand, subsist between 
 complexes that are not series, aWiough functional relations, 
 series, and the individuals that are in the series, may be present 
 in these causally related complexes. For example, any living 
 organism is a complex of organs and processes that are causally 
 related, but, within these organs and processes, there are strictly 
 functional relationships of the specific kind that chemistry, espe- 
 cially physical chemistry, is concerned with. 
 
 This position, namely, that there are certain wholes which 
 consist of complexes which are related dependently and causally, 
 but that also, within these complexes, there are still other com- 
 plexes which are related and yet are independent, agrees with 
 the result previously reached, namely, that the modification 
 theory of relations "rests on" and presupposes the theory of 
 external relations. While for each theory there is therefore a 
 field within which it holds, the theory of external relations is, 
 in this respect, fundamental to the modification theory. 
 
 3. The Underlying or Transcendent Reality Theory of 
 Relations 
 
 The criticism and brief formulation of this specific theory 
 have already been given.^^ No concrete instances can be found, 
 other than hy deduction from the theory itself, of an extra 
 entity that mediates the relations between other entities. Yet 
 the theory is one which, either as explicitly stated or as tacitly 
 presupposed, has had a dominant influence in theology, phi- 
 losophy, and logic down to the present time, and in science 
 during the middle ages. Upon it, indeed, are based, e.g., certain 
 of the proofs of the existence, or subsistence of a deity,' ^ as are 
 also certain doctrines as to the nature of the soul," and much 
 of the traditional Aristotelian logic.'* However, the theory, as 
 a theory, did not receive explicit recognition and formulation 
 
 '' This chapter, ii., 1. 
 
 " 8ee Chaps. XXXIV.-XXXVIII. 
 
 *' In Locke, Berkeley, and Kant; see Part II. 
 
 " Chap. III.
 
 186 METHODS AND PROBLEMS OF METHOD 
 
 until the post-Kantian philosophy appeared, but it was then 
 advanced as the very core of what was styled a new logic, 
 namely, the Hegelian.^ ^ Nevertheless, this new logic was really 
 only a development of the old, since it was derived by a specific 
 use of the Aristotelian principle of contradiction. 
 
 Thus, by the entirely formal use of this principle, there must 
 be formed or thought, for every term without exception, the 
 formal contradictory, i.e., for every a, whatever a may be, there 
 must be thought a non-a. This relation seems to be one of 
 necessary, logical connection, which may be stated in the form 
 of the propositions, that for every a there must he a non-a, or, 
 that a cannot he without non-a, or, that a implies non-a. But^ 
 if a cannot he without non-a, then the two are inseparahle, and, 
 therefore, form a unity. The important problem for the 
 theory therefore is, Where is this unity? or, What is its locus? 
 And the answer is, that the unity cannot be identical with, or 
 be at the "level" of, a and 7ion-a, since these are numerically 
 two. Therefore it must be at a different level, either tran- 
 scendent to or underlying hoth a and non-a, and, also, it must 
 be an absolute unity,^*^ and not a concealed complexity, since, 
 if it were complex, the problem would be repeated in regard to 
 the relatedness of the terms of this complex. This absolute 
 unity may be symbolized by TJ, and, accordingly, the theory 
 
 itself be expressed by the symbol . . 
 
 U 
 As an example of the use to which this theory is put, we 
 
 may consider the demonstration, that change is necessary. This 
 
 demonstration is not difficult to make, since, if a cannot h& 
 
 without non-a, and, if change means that a hecomes h, i.e., non-a, 
 
 then it follows, that change must he. This is, indeed, logically 
 
 the very demonstration that Hegel himself made of the necessity 
 
 of change and evolution.^'' It means that for Hegel and his 
 
 faithful followers, not only must there be change, evolution, 
 
 " See Chaps. XXXIV. and XXXV. 
 
 " Among the prominent modern philosophers who hold this position 
 are Fichte and Hegel (see Chaps XXXIV. -XXXVIII. ) ; Bradley, Appear- 
 ance and Reality, p. 520 11'.; Royce, as the outcome of his discussion in 
 The Spirit of Modern Philosophy and The World, and the Individual; 
 E. Caird, Evolution of Religion, Vol. I., p. 67 fl'. ; Calkins, Persistent 
 Problems of Philosophy, p. 418 flf.; T. H. Green, Works, Vol. III., p. 45. 
 
 ''See Chap. XXXVl.
 
 THEORIES OF RELATIONS 187 
 
 and progress, but also that these are logical in character, and 
 that, underlying them, there is an absolute unity. 
 
 Another example of the application of this theory is one in 
 which it is demonstrated that there is an underlying and 
 transcendent Unity for the whole universe. To give this demon- 
 stration, let us select the contradictory terms, self and not-self 
 (or indeed any other pair of formally contradictory terms), 
 and then ask, if everything is not either one's self or not one's 
 self? Then, hy the theory, must there not be One and only One 
 Being that underlies and is transcendent to all else, and that is 
 of a different order from the related terms? ^® 
 
 Still another example of the application of this theory shows 
 how, by means of it, one can transcend time, and get to the 
 timeless, and perhaps to the eternal. For, if the present be a, 
 all other time, past and future, is, as not-present time, non-a. 
 Therefore, iy the theory, there is a Z7 that is different from 
 both a and non-a, and that is in this respect neither past, present, 
 nor future}^ 
 
 The underlying-realit}^ theory of relations can be maintained 
 as valid, at the same time that one also holds, that some related 
 terms modify one another, and that others are externally re- 
 lated. Conversely, however, if one accepts the theory of external 
 relations, there is no necessity for accepting the underlying- 
 reality theory, since the former theory means, that the fact 
 that a relation relates its terms accounts for all the unity that 
 there is in the relational situation. 
 
 Criticism of the Argument 
 
 The argument for the underlying-reality theory of relations 
 has already been criticized,^*' and need only be referred to here. 
 If a first U is found to mediate the relation between a and 
 non-a, then, since this U is related to the complex, a R non-a, 
 another U is in turn implied to mediate this relation, and so 
 on in infinite series. Therefore, either an ultimate underlying 
 U is never reached, or, if it is, then, although it is related to 
 
 ** Well illustrated by Bradley's arguments for an Absolute in Appear- 
 ance and Reality. 
 
 '^^ E.g., Bradley's and Royce's Absolute. 
 "> This chapter, ii., 1.
 
 188 METHODS AND PROBLEMS OF METHOD 
 
 the complex of the preceding complexes, this relation does not 
 demand an underlying reality to mediate it. But, if there is 
 this one exception, then no relation need demand an underlying 
 entity to mediate it, and the whole theory falls to the ground. 
 
 The only seemingly possible inductive evidence for the theory 
 is derived from the examination of concepts. Thus if one take 
 either the psychologizing or the pragmatic view of eoncepts,^^ 
 he might go so far as to maintain that the individuals of what 
 we now regard as a class, e.g., the class of living heings, would 
 not be so related as to form this class, if we did not relate them. 
 For relations of similarity between "things" whereby they 
 form classes, are, in accordance with these two positions, either 
 created or invented by having "things" get into relation with 
 a consciousness, or with something, such as an organism that 
 relates them. But if this is the case, then at least these rela- 
 tions, to a consciousness, or to an organism, would not be so 
 created or invented, since they must subsist before other rela- 
 tions could be created or invented. But, if some relations are 
 thus independent, then, clearly, others may also be — especially 
 those relations of similarity by virtue of which there are classes. 
 Classes, therefore, would seem to be independent of a relating 
 consciousness or organism. 
 
 However, if a relation is, in this manner, ayi objective entity 
 that relates "things," then it is specific relations of similarity 
 that unify individuals into specific classes, so that with the unity 
 of the class accounted for in this way, there is neither the oppor- 
 tunity nor the necessity for a transcendent or underlying unity 
 either to perform the function of mediating the relation, or to 
 give the class unity. Thus, e.g., in the case of the class of living 
 beings, there are (1) the individuals; these are related by a 
 number of specific relations of similarity. Then there is also 
 (2) the class, as a class, whose members are minified objectively 
 by each of these specific relations. But (3) each one of the 
 relations which thus organizes the individuals into a class is 
 distinct both from the class as a whole, and from its individuals ; 
 yet these relations, e.g., similarity in respect to structure, are 
 not, in the usual sense of the term, transcendent, either to the 
 class as a whole, or to its individuals, even as the class and the 
 
 "Chap. XIII.
 
 THEORIES OF RELATIONS 189 
 
 individuals are not "outside" of themselves in any sense. The 
 specific relations of similarity which thus organize the indi- 
 viduals into a class form, or are, the objective concept. 
 
 It goes without saying, perhaps, that this objective concept 
 can be known quite as well as can either the individuals, or 
 the class as a whole, and such knowledge can be called an 
 "abstract idea." Humanity, triangularity, bravery, are exam- 
 ples. On the other hand, the knowledge of the class as a whole 
 is a "general idea," — human being, triangle, brave act being 
 examples. By virtue of abstract ideas we can, without knowing 
 each individual specifically, know about classes as a whole, 
 i.e., we can know that there are individuals of a certain type, 
 because they are related in a specific way. We can know any 
 individual, although, perhaps, no particular one. In fact, in 
 certain instances, not only do we not need to know all the 
 individuals specifically, but, in many cases, we cannot so know 
 them, for one reason or another. For example, because counting 
 is a psychological process requiring for each act of counting 
 a specific time, we cannot, by counting, know specifically all the 
 individuals of an infinite class. Yet we do know that there are 
 infinite classes, and that there are individuals which are mem- 
 bers of these classes, "We thus again discover the important 
 difference between knowing "things" as individuals, i.e., by 
 specification, and knowing them by type, by law, by organizing 
 concepts, or by intension, as it is technically called. 
 
 That the concept of a class should be that underlying reality 
 which mediates the relation between the members of the class 
 is thus disproved. Yet that the concept performs this function 
 is precisely that view to which the underlying-reality theory has 
 been driven by continued and repeated criticism. The result 
 of this criticism has been, when the adherents of the under- 
 lying-reality theory have desired to get to an idtimate and funda- 
 mental unity underlying the whole physical and mental uni- 
 verse, that they have given up "making" this unity either 
 physical or mental, and have been compelled to make it a bare 
 concept. But, by the foregoing criticism, if this ultimate con- 
 cept were a fact, it would be only that concept or relation of 
 similarity which organizes a universe into a whole, and the 
 universe would have only as inach unity as there is siniilarity.
 
 190 METHODS AND PROBLEMS OF METHOD 
 
 Unless one could prove, therefore, that any two terms must be 
 similar in order to be related, the universe or totality of entities 
 might consist of related, yet of extremely, perhaps of iiholly 
 dissimilar "things." Or, there might be many kinds of 
 "things," hut no one kind of these kinds, such as, e.g., mind, or 
 matter, or existence. However, one cannot exclusively prove 
 that terms, in order to be related, must be similar. Such a con- 
 clusion follows only from the postulate, in accordance with the 
 modification theory of relations, that related terms affect one 
 another and so cause one another to he similar. But this theory 
 has been shown not to be universally valid. For it presupposes 
 that terms, in order that they may be modified, must first be 
 unmodified and yet related. But such ultimate unmodified, non- 
 complex terms might be absolutely different, and still be related. 
 Yet, if terms can be related and yet be wholly dissimilar, there 
 is no relation of similarity that relates them. 
 
 We conclude, therefore, that inductive evidence for the valid- 
 ity of the underlying-reality theory of relations cannot be 
 obtained from the examination of concepts. The concept is 
 either the organizing relation, known in an abstract idea, or the 
 class as a whole, known in a general idea, but it is not something 
 more than this relation and this class. There is, therefore, no 
 one concept, which, as outside the universe, also unifies it. 
 Indeed, empirical evidence shows that the universe is not one 
 class, or one kind of "Ihings," but that it is many kinds.^^ 
 
 CHAPTER XXVII 
 
 TYPES OF RELATIONS, OF WHOLES, AND OF UNITIES 
 
 I. TYPES OP RELATIONS 
 
 Science and philosophy are both concerned with relations 
 between "things," and, therefore, also with wholes, which are 
 identical with parts as related in specific ways. 
 
 Some of the important types of relations have already been 
 " See Chap. XLIV., n.
 
 THEORIES OF RELATIONS 191 
 
 presented, but these types may here be advantageously sum- 
 marized, using R for relation, and a, b, c, and d for terms.^ 
 
 I. Every relation has an inverse. Thus, if a is above b 
 {a R b), there is the inverse relation, R, b below a; also, if 
 a=:b, there is the inverse, b =^ a, where R is the relation of 
 equality. 
 
 II. Relations are also classified as dyadic, triadic, tetradic, 
 etc. A dyadic relation is expressed by the symbol, a R b; a 
 triadic, hy R (a b c) ; a tetradic, hy R (abed). An example 
 of a triadic relation is the relational complex, sender of a mes- 
 sage — message — recipient. 
 
 III. Further differences among relations are distinguished 
 by the names symmetrical, non-symmetrical, and asymmetrical, 
 and transitive, non-transitive, and intransitive. These different 
 types may be best considered in the case of dyadic relations. 
 
 Symmetrical relations are such as are identical with their own 
 inverse; i.e., they subsist, if R is the same as R. Examples: 
 equality, similarity, difference, contradiction, consistency. 
 
 Asymmetrical relations are such as always preclude the iden- 
 tity of the inverse with the original relation. For example, if 
 a precedes b, it is precluded, that b should precede a. Further 
 instances are: "greater than," before, "ancestor of," and "fa- 
 ther of." Asymmetrical relations are sometimes called totally 
 non-symmetrical. Partially non-symmetrical relations are rec- 
 ognized by Royce and Russell,^ these relations being such as do 
 not always preclude the identity of the inverse with the original 
 relation. Thus, if a is friend of b, it may be that b is friend of 
 a (symmetrical), but it may also be that b is not a friend of a 
 (asymmetrical). 
 
 Transitive relations are such that, if they hold between a and 
 b, and between b and c, they also hold between a and c. Equal- 
 ity, "ancestor of," and "older than," are examples. Intransi- 
 tive relations are such as are never transitive. Thus, if a is the 
 mother of b, and b is the mother of c, it is precluded that a 
 should be the mother of c. 
 
 ' Cf. Russell, Hcievtific Methvd in Philosophy, p. 40 ff., and p. 124 ff., 
 iiiid Frinciples of Mathematics in various places (see his index); also 
 Koyce in his essay on The Principles ot Logic"' in the Encyclopedia of 
 the Philosophical iiciences, p. 'J7 ti". 
 
 '' Ibid.
 
 192 METHODS AND PROBLEMS OF METHOD 
 
 Non-transitive relations are such as are not transitive in some 
 cases, but are transitive in others. Thus, in the case of men, if 
 a is half-brother of b, and b is half-brother of c, a is not half- 
 brother of c, unless a, b, and c have a common parent, which is 
 not necessary. 
 
 IV. Relations are also distin fished as one-one, one-many, 
 and many-one. If a relation, B, holds only of a to b, but not 
 of a to c, d, etc., then it is a one-one relation. Thus, if a is the 
 twin of b, a is not the twin of c. One-one relations are present 
 in the case of correlated classes, as, e.g., in the possession of a 
 gun by each man of a regiment; also in correlated series, as, 
 e.g., the occupation, by the center of mass of a moving particle, 
 of one and only one point at each instant. If a relation R holds 
 between a and b, c, d, etc., it is one-many, while the inverse rela- 
 tion of b, c, and (Z to a is many-one. For example, rest is a 
 relational whole that is generated by a one-many relation be- 
 tween one point and an infinity of instants, and, conversely, by 
 a many-one relation between an infinity of instants and one 
 point. Existentially this relational whole is generated, e.g., by 
 the center of mass of a body as it occupies a point for many 
 instants. 
 
 These several types of relations are found not only among 
 dyadic relations, but also among triadic and tetradie relations. 
 Thus the relation of similarity, which is symmetrical, holds 
 between the members of a class, and the class subsists by virtue 
 of this relation. The class is thus independent of the order of 
 its members; R {a d c b) is the same as R {a b c d) — as a class. 
 If, however, a, b, and c are each a class as, e.g., are Frenchmen, 
 men, and mortals, then the triadic relation, R, of inclusion, 
 a <ib <C c, is asymmetrical and transitive. In the case of a 
 mere collection or aggregate, in which the individuals are re- 
 lated by the minimum of all relations, namely, the additive 
 relation, as expressed by ''and," the relation is symmetrical 
 and transitive. 
 
 II. TYPES OP WHOLES 
 
 If there are terms and relations, then there arc also wholes; 
 or, conversely, if there are wholes other than absolutely simple 
 entities, which consist of no parts at all, then there are terms
 
 TYPES OF RELATIONS IpS 
 
 and relations. Indeed, a relation may be defined as an entity 
 which subsists by virtue of there being complex wholes. The 
 chief types of wholes are as follows : — ^ 
 
 I. Mere aggregates or collections. In these wholes, in which 
 the parts may be any type of entity whatsoever, the relations 
 between the parts are such as are expressed by mere ''and." 
 No other relations, such as the relations of similarity or of 
 causation, or those relations that generate order, namely, asym- 
 metrical and transitive relations, need be present. As an ex- 
 ample, this page and a chimjera and the number 3 and last 
 evening's sunset form such a whole.* 
 
 II. Classes. A class subsists by .virtue of a relation of simi- 
 larity, which is symmetrical and non-transitive, between indi- 
 viduals, which individuals may be either simple or complex. 
 Together with the relation of similarity, there subsists in all 
 classes the conjunctive or additive relation expressed by "and." 
 Further relations, such as those which generate order, are, how- 
 ever, not necessary to the subsistence of classes. Any indi- 
 vidual either bears the asymmetrical relation, s, of "belonging 
 to" a specific class, or does not bear, or stand in, that relation 
 to that class. Vertebrates, triangles, atoms, are examples of 
 classes. 
 
 III. Series. In a series there are relations of conjunction, 
 of similarity, and of "belonging to." Yet a series as such 
 subsists only if its terms are also related by an asymmetrical 
 and transitive relation. The terms of a series may be absolute 
 simples, such as the points of a line, or complexes, such as the 
 lines of a plane. Examples of entities that are series are: 
 space of one, two, three, or n dimensions; also time, motion, 
 acceleration, and any qualitative change. Such series are found 
 to have the same characteristics as have certain specific series 
 among the real numbers, positive and negative, and zero. 
 
 A series is infinite if a one-one relation relates the individuals 
 of the whole series to the individuals of any part that is similar 
 
 ' See Chap. XLTII., vii.-x. Cf. Royce, Principles of Logic ; Russell, 
 Principles of Mathematics, and Scientific Method in Philosophy ; White- 
 head, Introduction to Mathematics; also the works and articles referred 
 to in Chaps. III. and XLIII., vii.-x. Either these several kinds of wholes 
 are recognized by these writers, or the basis for their recognition and 
 distinction is given. 
 
 * Cf. Russell, Principles, p. 69, and Whitehead, op. cit., Chaps. I. and VI.
 
 194 METHODS AND PROBLEMS OF METHOD 
 
 in character to the whole. For example, a line is an infinite 
 series of points, since in any smaller line as a "proper part" 
 of a larger line, there are as many points as there are in the 
 larger line as the whole. 
 
 A series is finite, if it is not infinite ; or, it is finite in respect 
 to that by which it is 7iot infinite. Thus, while a line is infinite 
 in respect to points, it is finite in respect to any smaller line 
 that is taken as a unit of measurement. 
 
 A series is discontinuous if, as is the case with the series of 
 positive and negative integers and zero . . . -3, -2, -1, 0, 
 1, 2, 3, . . ., between any two of its terms there is not another 
 term. 
 
 A series is deyise or compact if, like the series of rational 
 numbers, namely, the integers and rational fractions, positive 
 and negative and zero, there is, betiveen any two of its terms, 
 another term. 
 
 A series is continuous if, in addition to terms that are in one- 
 one correspondence with the rational numbers, there are still 
 other terms that are in such correspondence with the irrational 
 numbers, with both rationals and irrationals in the order of 
 their magnitude, as this is determined by the asymmetrical 
 transitive relation, "less than," or by its converse, "greater 
 than." 
 
 In every series, each member of the series has one and only 
 one specific "place" or "position." Every series, also, by 
 virtue of being generated by an asymmetrical and transitive 
 relation, has a direction, which, however, is not spatial, but 
 logical. There are other characteristics of series, the mention 
 of which, however, may be omitted here.^ 
 
 IV, Specific complexes that are neither collections, classes, 
 nor series. These wholes are generated by many different types 
 of relations, either dyadic or polyadic, transitive or non-transi- 
 tive, symmetrical or non-symmetrical, between terms that are 
 either simple or complex. A good example of such a whole is 
 the complex that is formed by the one-one relation between a 
 point and an instant, in the case of the motion of the center of 
 mass of a particle. Another good example is that complex 
 which is generated by the one-many relation of one point to 
 • See Chap. XLIII., vii.-x.
 
 TYPES OF RELATIONS 195 
 
 many instants, and which is identical with rest. Such specific 
 complexes may in turn be members of a series; e.g., motion is 
 the series of complexes, each of which is a point-correlated- 
 with-an-instant. 
 
 V. An important specific type of such complexes is the func- 
 tional whole. The simplest type of this whole is the "one- 
 valued" function. Such a whole is generated by a one-one rela- 
 tion that correlates the terms of one series with those of another, 
 but this relationship of one series to another is not of necessity 
 itself serial in character, although it may be serial in some cases. 
 As examples of such wholes we have the well-known facts, that 
 acceleration is a function of time, and that the pressure of a 
 gas is a function of the temperature. 
 
 VI. Another specific type of complex, and one, also, that has 
 been of great influence in the development of both science and 
 philosophy, is the causal or organic whole. It would seem that 
 the causal relation is asymmetrical and transitive. It is asym- 
 metrical in that it is precluded that B, as the causal relation 
 of a to b, or of a on b, should be identical with the inverse rela- 
 tion, B, of b to, or on, a. The relation, however, is transitive in 
 that, if a causally affects &, and if b causally affects c, a is a 
 cause of c. Also, if a affects b, then b is modified and becomes 
 h -\- e^, (e^ = effect of a), while, if 6 -(- e^ in turn affects c, c 
 becomes c -\- e {b -\- e°-). 
 
 If, however, both that which is acting and that which is 
 acted upon continues to exist, together with the effects, and if 
 the causal relation be universal, then the effect affects both the 
 cause and also that of which the effect is the effect, and effects 
 affect effects, and so on. Accordingly, each entity in an organic 
 whole thus becomes infinitely complex, and reflects the whole, 
 "which is also infinitely complex. 
 
 There may, however, be two distinct types of causal or organic 
 wholes. If the relatedness of terms does not of necessity carry 
 with it the presence of the causal relation, then, in a whole, 
 some terms might be related causally, and others not, which 
 would mean that causation is limited in its field, even as other 
 relations are limited. This type of limited organic whole seems, 
 indeed, to be discoverable by empirical investigation in the case, 
 e.g., of any living organism, or any chemical compound. For
 
 196 METHODS AND PROBLEMS OF METHOD 
 
 in such wholes there are, in addition to causal relations, funC' 
 tional relations and a whole group of non-causal relations that 
 are present in a functional whole. However, by some phi- 
 losophers and scientists it is held that the causal relation is 
 universal, i.e., that two or more terms cannot be related in any 
 other way, without also being causally related. There accord- 
 ingly results the infinite complexity of both whole and part. 
 This position is found by the supporters of the new logic to be 
 invalid. Nevertheless it has grown up in the Aristotelian tradi- 
 tion, and has been of profound influence. 
 
 One of the important features of the new logic is the position, 
 that relations are quite as objective as are terms. Among the 
 relations that fall under one or more of the several types above 
 presented are (a) implication, (b) consistency (if consistency be 
 a relation), (e) contradiction.^ Accordingly three further types 
 of wholes may be added to our list, since each of these specific 
 relations can relate parts so as to form a whole. An example of 
 each of these types will make sufficiently clear, without further 
 discussion, their distinctness. All three may be illustrated from 
 the field of geometry. 
 
 VII. Contradictory wholes. Some relation, such as that of 
 "and" subsists between Euclidean space and Lobatehewskian. 
 Since a proposition is a relation between terms, space may be 
 defined as that system of propositions which are identical with 
 specific relations between certain entities, whether these be 
 points, lines, planes, or spheres. But Euclidean and Lobatehew- 
 skian space are contradictory in the precise sense, that the 
 latter denies the fifth postulate, the so-called "parallel postu- 
 late," of the former. The proposition or postulate which is 
 identical with this denial, together with the other postulates, 
 implies that kind of space which is known as Lobatehewskian. 
 However, both this space and the Euclidean are equally real, 
 although they are contradictories. Together, therefore, they 
 form a whole, which is a contradictory whole.'' 
 
 VIII. Consistent wholes. Consistent wholes are such as are 
 not necessarily implicative in character. Thus, e.g., the efforts 
 of modern geometers have been in part directed to the problem 
 of reducing the axioms and postulates of geometry to the 
 
 • See Chap. XLI., iii.-v. ^ See Chaps. I. and XLI., v.
 
 TYPES OF RELATIONS 197 
 
 smallest possible mimher. One method for doing this has been 
 to discover a set of entities for which a specific postulate does 
 not hold, while other postulates do. Then this postulate or 
 proposition is 7iot implied by these others. In this way a group 
 of postulates that are consistent with tut not iynplicative of one 
 another, has been discovered. The postulates are, however, 
 related. Such a group forms a consistent u'hole. 
 
 IX. Implicative wholes. Perhaps few wholes are entirely im- 
 plicative. Even the situation, A <. B <i C, implies A <. C, is 
 not wholly implicative, since, if A, B, and C are classes, other 
 relations than implication are present, namely, the relations of 
 similarity, difference, "member of," and inclusion. But a 
 specific space such as is described by both Euclidean and Lo- 
 batschewskian geometry, illustrates that distinct kind of whole 
 which is in part implicative and in part merely consistent. 
 
 III. TYPES OF UNITY 
 
 What the several types of unity are, is an important question 
 for philosophy, — indeed many systems as, e.g., monistic systems, 
 not only are chiefly concerned with just this question, but also 
 are, in part, identical with a specific solution to it. However, 
 it is evident that, if the conclusion is reached that, e.g., the 
 whole universe, the human self, the living organism, or the 
 system of knowledge is in each case a unity, this conclusion must 
 be supplemented by determining in each case just what kind of 
 unity each such entity is. And that there are different kinds 
 of unities is shown by the fact that there are different types 
 of organizing relations, and, therefore, different kinds of wholes, 
 each of which not only is itself a unity in some sense, but per- 
 haps, also, as a complex presupposes unities of a specific kind, 
 as, e.g., absolute simples. 
 
 The classification of wholes just given helps, therefore, to 
 answer this problem, since it shows that there are at least the 
 following different kinds of unity: (1) Absolute units, or sim- 
 ples, that are not composed of any parts ; examples, points, and 
 instants; (2) unities which, with one possible exception, are 
 identical with the different kinds of wholes. (3) The possible 
 exception is that kind of unity which is deduced in the argu- 
 ment for the underlying-reality theory of relations, and which
 
 198 METHODS AND PROBLEMS OF METHOD 
 
 may be called a metaphysical or transcendent unity. However, 
 as alone consistent with the ar^nient by which it is derived, 
 this unity should be absolutely simple, since, if it is not, it con- 
 sists of parts, and thus repeats the very problem, as regards 
 the relation of these parts, which it is supposed to solve. But, 
 in our previous criticism it has been found that such a unity 
 is really never reached, since, as mediating the relation between 
 the terms which lie above it, it is related to those terms, and 
 therefore presupposes still another mediating unity, and so on 
 in an infinite series. On the other hand, if the relation between 
 such an underlying unity and the terms and relation "above" 
 it demands, not the underlying-reality theory of relations, but 
 the modification theory, then the underlying unity is not simple, 
 hut complex. Indeed, it is evident, that, if strictly empirical 
 results be departed from, and the universal validity of the 
 modification theory of relations be insisted upon, all unities 
 would seem to become organic, causal complexes. Yet we have 
 seen that this specific theory is also self-contradictory in that 
 it presupposes, as the "elements" of such infinitely complex 
 organic wholes, ultimate simples, which simples are related and 
 yet independent. 
 
 We conclude, therefore, that there are to be accepted only as 
 many specific kinds of unities as are shown by consistent em- 
 pirical investigation to be specific kinds of organized wholes, or, 
 as in the case of "numerical simples" such as points and 
 instants, are presupposed by such wholes. Only provided the 
 modification theory of relations, or the underlying-reality theory 
 is postulated, can the conclusion be derived Jiat all such wholes 
 are, respectively, either organic, or those that are mandatory of 
 an ultimate, absolute One. 
 
 IV. THEORIES OP RELATIONS AND TYPES OP LOGIC 
 
 Just as all wholes and all unities are, by the modification 
 theory of relations, organic, and by the underlying-reality 
 theory, a manifold of entities that are held together by one 
 underlying entity, so, according as one or the other of these two 
 theories is assumed to be universally valid, different types of 
 theories as to the nature of logical principles and entities are 
 derivable.
 
 TYPES OF RELATIONS 199 
 
 The traditional logic is, as we have seen, derived from the 
 thing-quality view of "things." Everything which can occur 
 as the logical subject of a proposition and of which a predicate 
 is asserted, is, by this logic, made a thing, or a substance witli 
 qualities. The substance is that in which the qualities inhere ; 
 it is that which holds them together. But this position as to 
 the nature of propositions is, as stated in terms of the theories of 
 relations, the underlying- reality theory. This theory, therefore, 
 is itself a fundamental postulate of the traditional logic. Ac- 
 cordingly, with this logic dominant up to the present time, it is 
 not surprising to find that some of the most influential phi- 
 losophies are the monistic systems, in which all else is 
 made the manifold of attributes of One fundamental Being or 
 Substance, whether this be material or spiritual,* 
 
 A derivative of this traditional logic is the constitutive, 
 a priori logic of Kant, This logic presupposes both the under- 
 lying-reality and the modification theories of relations. Thus, 
 if the principles of the ordinary logic be interpreted in accord- 
 ance with the psychologizing tendency as laws of mind, and 
 mind be regarded, in accordance with the underlying-reality 
 theory, as a spiritual substance with attributes, then the laws 
 of the mind are its attributes. And further, if the mind is 
 related, in the act of knowing, to the object that is to be known, 
 and this relation is interpreted by the modification theory, it 
 follows that objects are perforce modified by the mind's attri- 
 butes, and are known only as so modified. It results, that 
 logical principles become constitutive of the known world? 
 
 The pragmatic theory of logic to the effect that all logical 
 principles and entities are merely adaptative inventions of the 
 human race, is really derived also from the modification theory 
 of relations as this is applied to human organisms and their 
 environment. Both human beings and the environment can be 
 interpreted either as substances with attributes, or as organic 
 wholes; but in either case human organisms, as beings that 
 adapt themselves to their environment, are beings in whom the 
 environment causally works changes, and conversely. But this 
 is an instance of the modification theory of relations. If, there- 
 fore, logical principles are only adaptations, then, as such, they 
 
 " See Chaps. XXXIV.-XXXVIII. « See Chap. XXIX.
 
 200 METHODS AND PROBLEMS OF METHOD 
 
 presuppose the modification theory of relations as applying to 
 the relation between human beings and their environment. 
 
 In criticism it may be remarked that, if this be the case, then 
 the state of affairs that is formulated by this particular theory 
 could not itself be a mere adaptation or invention; for its own 
 objectivity and independence are presupposed in order that 
 other logical principles may be adaptations. Yet, if one logical 
 principle is not an adaptation, it may be that none are, and 
 that, in fact, all logical principles are quite objective. 
 
 Modern logic in contrast with these two interpretations and 
 tendencies, presupposes, therefore, the theory of external rela- 
 tions. This logic finds that things and their qualities do not 
 present the only instances of relations, but that relations of a 
 specifically different kind are involved, e.g., in series, in infinity, 
 in continuity, in functions, and the like. 
 
 V. MATERIAL PRINCIPLES OF PROOF 
 
 The three theories of relations that have been discussed are 
 material principles of proof. That is, if one assumes these 
 theories, and deduces from them correctly, discovering their 
 implications, one gets certain definite results. Two of the the- 
 ories, namely, the ''external theory" and the ''modification 
 theory," are shown empirically to be valid, each for a certain 
 sphere of terms and relations, but no convincing empirical evi- 
 dence for the underlying-reality theory has been found up to 
 the present.
 
 PART II 
 
 THE SOLUTION OF PROBLEMS 
 
 THE TRADITIONAL SYSTEMS OF PHILOSOPHY 
 
 THE CRITICISM OF THESE SYSTEMS
 
 SECTION I 
 
 INTRODUCTORY 
 
 CHAPTER XXVIII 
 
 THE PROBLEM ABOUT PROBLEMS 
 
 Problems of the point of view, of methods, of theories of 
 relations and the like, having been examined in the preceding 
 sections, we are now prepared to inquire how specific solutions 
 of specific problems are obtained logically hij postulating certain 
 specific principles or propositions, and hy iuaking deductions 
 from these principles. Such a method of examining philo- 
 sophical systems, in a manner that is independent of their his- 
 torical development, has already been expounded somewhat in 
 our discussion of the problem of the point of view,^ and it now 
 remains for us to carry such a method of procedure to com- 
 pletion. 
 
 I. THE EPISTEMOLOGICAL PROBLEM 
 
 It is a well-known fact that philosophy has developed in 
 cycles, beginning with the ontological problem among the ear- 
 liest Greeks, then going through the cosmological, the teleo- 
 logical, the theological, the ethical, and esthetic problems, and 
 finally reaching the epistemological problem in Plato and Aris- 
 totle, only again, on the basis of their epistemology, to return 
 to the problems of ontology, cosmology, teleology, and the like. 
 This recurrent series or development, in which the other prob- 
 lems received solution from the standpoint of the Platonic and 
 Aristotelian epistemology, persisted up to the time of that 
 somewhat vague period called the Renaissance, although it did 
 not even then lose its influence. 
 
 The Renaissance was an awakening to new points of view and 
 of method in literature, art, science, religion, and philosophy. 
 
 > See Chap. I.-III. 
 203
 
 204. INTRODUCTORY 
 
 One result was the birth, or rebirth of those empirical methods 
 which have largely created our modern material civilization. 
 But, while the Renaissance was characterized by the adoption 
 of new methods of knowing, it did not apply these to the study 
 of knowing, as itself constituting a problem. This problem first 
 received clear recognition in the investigations of Descartes 
 (1596-1650) and, more especially, of Locke (1632-1704), with 
 the result that, throughout the modern period which follows these 
 philosophers, other philosophical doctrines have, for the most 
 part, been based on epistemologies. Indeed, that characteristic 
 which marks this whole period in philosophy, even to the present, 
 is the domination of the epistemological problem, although it 
 may be, that in the near future, this domination will cease, 
 because it will be proved, that human beings can know without 
 first ascertaining how knowledge is possible, and what is its 
 extent and origin. 
 
 Science all through this modern period developed with rapid 
 strides, and to a large extent independently of the philosophy 
 of knowledge, both as regards the facts disclosed and the method 
 of their discovery. This development was characterized by the 
 use of new means of knowing which for a long time were not 
 understood in all respects, but which today have become better 
 known, with the result that there is an increased efficiency in 
 scientific method. The new logic, with its emphasis of relations, 
 and the like, is itself a product of the modern study of such 
 methods, and it is to this new logic that we must turn for the 
 solution of many problems in both science and philosophy. 
 
 With such an extensive scientific development characterizing 
 the modern period, and yet with so little attention given to the 
 epistemological problem by the scientists themselves, the ques- 
 tion arises, why this problem has exercised such a controlling 
 influence over philosophy. The answer to this inquiry is, that 
 such an influence has been due not only to the interest in the 
 knowledge-problem itself, but also to the fact that certain 
 specific solutions of the problem would seem to present a way 
 by which men should be able to prove real that which they 
 would prefer to be real, and also able to prove false or illusory 
 that which they would have of this character. For it is a fact, 
 that, for one reason or another, mast men prefer that, e.g., evil
 
 THE PROBLEM ABOUT PROBLEMS 205 
 
 were not evil, pain, not pain, hate, not hate, and death, not death, 
 even as they prefer that such "things" as goodness and 
 beauty and life and love should not be illusory, but quite real. 
 All else may be lost, if these but be saved; all else be illusion 
 and appearance, if these but remain the realities. 
 
 But how, indeed, does epistemology offer opportunity for 
 saving that which men would have saved, and for demonstrating 
 as illusory or as merely apparent that which men perhaps detest 
 and abhor? Why, indeed, should appeal be made in any way 
 to philosophy? Cannot the momentous questions that concern 
 the saving of what men would, in most cases, prefer to have 
 saved, be settled on their own merits, or, at least, by an appeal 
 to science. For does not science reveal to us suns and stars, 
 the depths of space, and the eons of time; does she not pene- 
 trate beneath the surface of "things" to disclose otherwise 
 hidden forces and energies; does she not picture both the macro- 
 cosmically great and the microcosmically small? Then why, 
 also, should not God and soul and immortality, justice and 
 goodness and beauty, come within her realm to lose their secrets 
 too? The answer is, that science, in that it deals with such 
 things as suns and stars, energies and forces, molecules and 
 atoms, has to do with that which is known, hut that, as unknown, 
 ''things'' may be so different from what they are as known, 
 as to be the realities, with the known "things" mere appear- 
 ances or illusions, so that it may be among ''things" as unknown 
 that the science of what is hoped for is to be sought and found. 
 
 Who can deny that this may not be so? For does not fire 
 make the iron red? Then may not the awareness be to both 
 the fire and the iron, even as the fire is to the glowing and the 
 redness. Epistemology, or rather, certain epistemological the- 
 ories accept this analogy as a principle. For they find, not only 
 that all "things" known are related to the knowing, or to the 
 knower, and that to know what anything would be, or be like, 
 as unknown, is impossible, since this would be again to make 
 the unknown known, but also that knowing makes a difference to 
 "things," even as the fire does to the iron, so that we can never 
 know without making such a difference. 
 
 How great shall this difference be ? Could it be such a radical 
 difference as to include such characteristics as extension and
 
 4b§ iNTRODUCTdRY 
 
 duration, hardness and coldr, manifoldness and unity? That 
 ihis is not impossible, is the position that is sometimes insisted 
 upon by those who emphasize epistemology. 
 
 The situation, that knowing eatinot be elithiriated from the 
 world that we know, is called the "ego-centric predicament"; 
 while the position that knowing makes the world what it is in 
 at least certain respects, is an instance of the application of 
 the modification theory of relations. The outcome of these two 
 premises or postulates is most interesting, and appeals to our 
 hopes and desires. For known ''things" seem in some instances 
 to be evil and unfriendly, hopeless and forlorn, ugly and fore- 
 bidding, rigid and mechanical, and, in general, of little promise. 
 But, iy the premises just mentioned, may not all these unde- 
 sirable "things" be due to the difference that is made hy know- 
 ing? Then enter the realm of the good and the affectionate, 
 the hopeful and the inspiring, the beautiful and the enlightened, 
 the plastic and the free, not by knowledge, but by faith and 
 intuition. These are what one desires, and thus it is that one 
 can argue oneself into the possibility of their attainment. 
 
 II. THE VALUE-CENTRIC PREDICAMENT ^ 
 
 If the ego-centric predicament is thus taken advantage of, in 
 order to demonstrate the attainability, or, at least, the reality 
 of that which one would prefer real, the suggestion lies near 
 that an analogous predicament may exist through the fact that 
 our knowing is always related to our desires, our preferences, 
 our yearnings, and, accordingly, perhaps, that our desires and 
 preferences cannot be eliminated from our knowing. Such a 
 situation may be somewhat awkwardly called the value-centric 
 predicament.^ 
 
 " See, e.g., James' discussion of tough-mindedness and tendsr-mindednesB 
 in Chap. I. of Pragmatism. However, why the pragmatist, who is ad- 
 mittedly a tough-minded individual, should seek to convert the tender- 
 minded philosopher, whose point of view and system satisfy his own vital 
 needs, is a puzzle from the standpoint of Pragmatism. 
 
 ° N. Kemp Smith, "How Far is Agreement Possible in Philosophy?" 
 Jour, of Phil., Psych., and Scientific Methods, Vol. IX., p. 701 flf. ; see also 
 the report of the twelfth annual meeting of the American PhiU)8ophical 
 Association, J. B. Pratt, Jour, of Phil., Psych., and Scientific Methods, 
 Vol. X., p. 91 ff.; cf. also Marvin, First Book of Metaphysics, Chap. I.; 
 Sir Henry .Jones, Idealism as a Practical Need, 19UU; and J. G. Hibben, 
 Philosophy of the Enlightenment, 1910.
 
 THE PROBLEM ABOUT PROBLEMS 207 
 
 This predicament — if it is such — lias two forms of which 
 the one concerns us chiefly as individuals, the other, our member- 
 ship in a social group, whether this be narrow in its confines;, 
 or so wide as to include all human beings. 
 
 The effect of the predicament is, accordingly, that, if you 
 as an individual desire an evil nullified, then do you accept as 
 true only that philosophy which in some way does away with 
 evil; but the effect is also, that, if you and I both have those 
 hopes and longings which are inherited from our forefathers 
 and from our race, then do we endeavor to save whatever is 
 thus valued, by accepting only such a transformation of common 
 sense and of science as will accomplish this result. Yet finally 
 we may become aware of such an influence of our desires and 
 preferences on our knowing, and therefore, in the attempt to 
 eliminate this influence, we may reach that point where ive 
 prefer truth at all costs — no matter what the truth may prove 
 to be. But the question then arises, whether we are not thereby 
 valuing truth itself, and therefore making truth a value, thus 
 to condition it, like other values, by our preferences and our 
 desires. 
 
 In answer to such an inquiry, it may, however, be further 
 asked, whether, e.g., the fact that I prefer sincerity in all those 
 with whom I have to deal in any way, prevents me from discov- 
 ering that in some cases sincerity is wholly absent? But, if 
 sincerity can be found to be absent, although I prefer its pres- 
 ence, then are not my preference and that which I prefer inde- 
 pendent, although they are r elated f Similarly, does not the 
 fact, that, although I value truth, I may nevertheless fail to 
 find it, prove that my valuing and truth are independent, though 
 related? And finally, if I desire to know, and yet what I desire 
 to know is the truth for its own sake, no matter what the 
 specific truth may be, then may not any specific knowing, with 
 any specific content, be absent, even though I prefer to find such 
 content present? But does not this possible absence prove that 
 any specific knowing — of any specific content — although related 
 to desire and preference, is independent of these? In other 
 words, is there not at least a virtual elimination of desire and 
 preference from any specific knowing — an elimination which 
 means, that, when the desire to know is directed toward getting
 
 20S INTRODUCTORY 
 
 at the truth for its own sake, irrespective of what the specific 
 truth may turn out to be, the value-centric predicament is 
 solved f 
 
 Such a solution of this predicament is, as a matter of fact, 
 presupposed all through science in its method of awaiting the 
 outcome of hypotheses and theories, without either believing or 
 dishelieving them, and the situation is not, of necessity, different 
 in philosophy. Accordingly we conclude, that, although many 
 philosophical systems have resulted, at least in part, from the 
 endeavor to save those worths and values which men would 
 prefer to he saved, nevertheless, the disinterested attitude is 
 quite as possible in philosophy as it is elsewhere, and that the 
 logical justification of this attitude is, that, although "truth 
 for its own sake" is related to (this specific) preference, the 
 truth and the preference may, nevertheless, he quite independent. 
 
 III. THE SOLUTION OP THE EGO-CENTRIC PREDICAMENT 
 
 The same principles which enable us to solve the value-centric 
 predicament also make it possible to solve the ego-centric pre- 
 dicament. In fact these principles form a most important 
 method for both science and philosophy. 
 
 In a great many instances of entities which we wish to analyze, 
 it is impossible experimentally to remove the parts which analysis 
 discovers. All the parts must be left in situ, and yet, if possible, 
 we must discover not only the parts, but also the relations 
 between the parts. This method must be pursued, e.g., in his- 
 tory, since we cannot alter the past ; in sociologj'^, since we cannot 
 to any great extent manipulate sociological and economic forces ; 
 in geometry, since we cannot experimentally remove the parts 
 of space; and also, in a great many instances, in such sciences 
 as physics, chemistry, and astronomy. Where we can, we experi- 
 mentally remove a thing, A, that is in relation to B, from its 
 presence and relation to B, in order to discover, whether, thereby, 
 B is altered or removed ; if it is, then we conclude that A influ- 
 ences, or causes B, or that B is functionally related to A; if it 
 is not, then A is not such an influence, or cause, or variable. 
 
 However, in the fields of research just mentioned, it is im- 
 possible always to determine experimentally the question of 
 influence, cause, or function. Therefore, if we analyze, we must
 
 THE PROBLEM ABOUT PROBLEMS 209 
 
 leave the parts together, — in situ — to determine their depend- 
 ence or independence.* Such a procedure is successfully prac- 
 tised in a great many cases, especially in science, in order to 
 find specific functional relations. Thus, in the case of a moving 
 projectile, there is the color, the shape, the chemical composition, 
 the mass, the gradually retarded motion (negative accelera- 
 tion), and the explosion that sets the projectile in motion. No 
 projectile is without all these characteristics, with each one of 
 them of some specific (numerical) value, as determined by some 
 scale of measurement; and although any specific value can be 
 substituted by another specific value of the same character, e.g., 
 the mass of 100 lbs. for the mass of 50 lbs., nevertheless no one of 
 these generic characteristics can be experimentally removed from 
 a moving projectile. Rather, each such characteristic must be 
 left in the presence of the others, while their specific relations 
 to one another are, if possible, determined. 
 
 Analysis shows, however, that, e.g., although the retardation 
 requires time, it does not cause time, nor time cause it, although 
 the two are related. Rather the retardation is found to be 
 a function of the time; related to time, and time to it, time is 
 nevertheless independent of the retardation. The time is the 
 independent variable, the retardation the dependent variable. 
 Thus the time is functionally related to the retardation, but is 
 not an effect of it. In such an instance, therefore, the specific 
 retardation and the specific time must each be left in situ, and 
 yet we discover not only that they are different and distinct, 
 but also that, though related, they are independent. 
 
 But there are, of course, causes for the retardation, as well 
 as for the motion as a whole and for the initial velocity. Dif- 
 ferent "things" can be distinguished, namely, the distance 
 traveled, the time required, the initial velocity, the final stop- 
 ping, the initial "angle of flight," the mass of the projectile, 
 the force of the explosion, and, finally, the relationships of these 
 entities to one another can be determined, and theij:* dependence 
 or independence be ascertained. Omitting unnecessary details, 
 it may be said, that, by studying various instances of moving 
 projectiles in which we are obliged to leave in situ the several 
 parts, it is discovered, that the motion as a whole, with its 
 *Cf. Chaps. XXII and XXVI.
 
 210 INTRODUCTORY 
 
 several characteristics, either depends functionally upon, or is 
 caused by, (a) the explosive force, (b) the angle of elevation of 
 the gun, (c) the mass of the projectile, (d) the resistance of 
 the air. Change any one of these, keeping the others constant, 
 and the total motion, with its characteristics of change of 
 velocity and distance covered, is changed. Color, however, 
 makes no difference, nor does the chemical composition of the 
 projectile, provided the same mass is retained. Here, then, 
 analysis in situ reveals two sets of entities that are related to 
 the motion. One set, namely, the explosion, the force of gravita- 
 tion, and the mass, are constituent causes, variables or "ele- 
 ments" in the motion; the other set, namely, the color and 
 the chemical composition of the projectile, are not such causes, 
 elements, or variables. 
 
 This example illustrates a most important power of achieve- 
 ment of modern scientific analysis. "Things" can be analyzed, 
 parts be discovered and distinguished, and yet left in situ, and 
 relationships be ascertained. Three kinds of relationships ap- 
 pear, namely, (1) functional, in which an independence of re- 
 lated terms is discovered ; i.e., the terms are related in such a 
 way that, if any term were eliminated, the elimination would 
 make no difference to the other terms. There can be only an 
 ideal elimination of such parts. Therefore the analysis must be 
 made in situ. (2) Causal relationships are revealed. In these 
 a specific dependence of specifically related terms is shown. In 
 this case certain terms are what they are by virtue of their 
 relation to other terms; i.e., the relation between them is con- 
 stitutive. (3) Both non-functional and non-causal relationships. 
 In these it is shown, both by actual and by ideal elimination, 
 that there is not only no causal dependence of certain terms, 
 but also no functional connection. In the case of terms thus 
 related, each term is independent, no term is constituted by 
 others, any term can be eliminated without a resulting effect 
 on others, and no term makes a difference to others. For ex- 
 ample, mass and time are thus independent. 
 
 The ego-centric predicament can be solved, now, by this same 
 method of analyzing in situ, and of thus discovering parts and 
 relations, and the specific character of each. This predicament 
 consists, as we have seen, in the impossibility of experimentally
 
 THE PROBLEM ABOUT PROBLEMS 211 
 
 eliminating a knowing process as really occurring, or as implied 
 as really occurring, from the world that we know. In other 
 words, the world that we talk about, think about, mention, or 
 know, is a known world. The predicament has most important 
 consequences provided knowing makes a difference to the entity 
 known, but it is of no importance, provided it can be shown, 
 that knowing makes no difference to that world. If this last 
 principle can be established, then it follows that the world as 
 unknown can be quite the same as the world as knoivn, and 
 knowing must be concluded not to be causally related to that 
 world. 
 
 If, now, it cannot be shown by an experimental elimination 
 and analysis, that knowing is thus related independently to 
 the entity known, nevertheless, an analysis in situ, and an ideal 
 elimination of knowing suffice to furnish this demonstration. 
 
 Such an analysis and elimination is, in fact, made by every 
 philosopher and scientist who, even in a philosophy that ex- 
 plicitly maintains the opposite, advances any position as a 
 portrayal of the real state of affairs regarding knowing.^ For 
 example, if one is a follower of Kant, and accordingly main- 
 tains, that all knowing makes a difference to the object to be 
 known, i.e., alters it, modifies it, and the like, so that there is 
 a specific and marked difference between the object as known 
 and as unknown, then does not one present this position as the 
 real state of affairs regarding knowing, with this state of affairs 
 nevertheless in relation to a specific knowing as its content or 
 object? But does not one therewith make an exception to the 
 rule that is stated in the position? For does not one tacitly 
 grant and presuppose, that here is one instance, at least, in 
 which knowing is related to its object, and yet does not alter, 
 modify, or constitute that object? And does not one tacitly 
 presuppose, that, *"/ this specific knowing were not taking place, 
 this state of affairs regarding knowing would still persist as the 
 real one? 
 
 To these questions there seems to be no other answer than 
 "yes." In fact, every philosopher who presents any position 
 in solution of the problem of knowing, tacitly presupposes 
 
 " See the criticisms of systems opposed to Eealism, Chaps. XXIX.- 
 XXXVIII.; also Chaps. I., II., and III.
 
 212 INTRODUCTORY 
 
 that the facts which are therewith known are not causally de- 
 pendent upon being known, either by himself or any one else. 
 Every such philosopher thus really solves.the ego-centric predica- 
 ment for himself. Indeed, he solves it, even though in the 
 particular solution which he advances, he may make use of this 
 predicament in order to demonstrate its insolubility, and the 
 consequences that result from this. 
 
 However, with the ego-centric predicament quite soluble in 
 this way, it should no longer be regarded as serious, or as having 
 important consequences. For if in one typical instance, know- 
 ing can be related to, and yet not cause, alter, or modify, that 
 which is known, so that in this one case knowing is ideally 
 eliminated, then the presumption is, that in all cases of knowing 
 the same state of affairs subsists. To advance any other posi- 
 tion means, that at a certain point an exception is met with that 
 contradicts such a position. Indeed, that knowing makes a 
 difference to its object, is a position that is self -contradictory, 
 while, on the other hand, that knowing is not causally related 
 to and makes no difference to the object knoivn, is a position 
 that can be advanced and maintained quite consistently with 
 itself as a true position. 
 
 This position is self-consistent, because the proposition, that 
 knowing does not make a difference to its object, itself logically 
 allows one in this very instance to advance this as the real 
 state of affairs concerning all knowing, including, therefore, the 
 specific knowing, that this is the state of affairs concerning all 
 knowing. 
 
 This self-consistent position is an instance of the validity of 
 the theory of external relations which formulates the fact that 
 terms can be both related and independent. One interesting 
 and important implication of this position, which is presupposed 
 by its own denial, is, that knowing or knower cannot be a thing 
 or substance.^ For, if it were, then it would affect other things. 
 Therefore, in order to understand the real nature of knowing, 
 we must not use the traditional logic of substance and attribute, 
 but the 71CIV logic of relations.'' We must use this logic, because 
 it is empirically discovered to be that logic which is involved 
 in any situation of genuine knowing. For knowing turns out 
 
 • Cf. Chaps. III., XIII., and XXVII. ' Chap. XXVII.
 
 THE PROBLEM ABOUT PROBLEMS 213 
 
 to be, not a thing or substance^ but an event, a relation, a dimen- 
 sion, or even a disembodied quality, with the object known 
 entering into and getting out of relation to the knowing, while 
 still maintaining its relations to other objects.^ 
 
 The critical study of the opposed position, that knowing is in 
 some way related causally and constitutively to its object, shows 
 that this is a conclusion which is derived (1) from the arbitrary, 
 though unconscious, application of the modification theory of 
 relations^ to the specific relational complex, knowing and known 
 object, and (2) from the somewhat surreptitious postulation of 
 the underlying-reality theory of relations to the knowing, or to 
 the knower, whereby the knower is regarded, tacitly at least, 
 as a psychical substance (ego, self, spirit), and, therefore, as a 
 sort of thing with attributes (the knowing states or processes). 
 Either of these two postulates has carried with it the other 
 postulate, and the reason why one or the other postulate has 
 been made, is, that the model of the particular physical thing, 
 with the two derivative concepts of substance and of cause, 
 has for the most part dominated philosophical and even some 
 scientific thinking from the time of Aristotle to the present." 
 
 For in this tradition "things" are regarded not only as 
 groups of qualities that inhere in a substance, but also as 
 entities that causally act on, influence, and modify one another, 
 with the effect dependent not only on the thing acting, but also 
 on the thing acted upon. Thus the effect cf melting produced 
 by a red-hot cannon ball an inch from a candle is as much 
 dependent on the candle as upon the cannon ball. Substitute 
 an iron bar for the candle, and the effect is different. It is clear, 
 then, that, if the principle thus illustrated is generalized and 
 applied to certain problems or situations, certain specific con- 
 clusions by way of solutions to these problems are deducible. 
 But it is precisely this generalization and this application that 
 have been made, at least tacitly, in the reasoning out of a 
 number of the great philosophical systems of history, especially 
 those that are based on a prior solution of the problem of 
 knowledge. The generalization and the application have taken 
 place pari passu. The generalization has been made on the tacit 
 or unconscious assumption (1) that the type or model for all, 
 
 " See Chaps. XLIII., iii. and xi. ' Chap. XXVI., ii., 2. '" Chap. III.
 
 214 INTRODUCTORY 
 
 or for most entities, is that of a thing and its qualities, with the 
 qualities inhering in the substance of the thing; and (2) that 
 the most important relation between "things" is the causal. 
 Thus, in philosophy such entities as matter, soul, God, per- 
 sonality, the universe, ideas, concepts, and percepts, and, in 
 science, atom, force, energy, have been made things with attri- 
 butes, while in logic the result has been, that reasoning has 
 concerned itself (1) with substance-like individual things and 
 their identity with themselves, (2) with kinds or classes of 
 things, and the relationship of inclusion, complete, partial, or 
 negative, of these kinds, (3) with the causal relationship between 
 things, and (4) with the kinds of causation. 
 
 Aristotle, with substance as his leading category, illustrates 
 one phase of this influence, as does Descartes with his two 
 substances, mind and matter, and Spinoza, with his one sub- 
 stance, God, of which mind and matter are attributes. Modern 
 Objective Idealism, or Psychism, with its doctrine of one spirit- 
 ual substance, of which everything else is manifestation or 
 attribute, exemplifies the same controlling influence," as do 
 also Locke, Berkeley, and Kant in their respective doctrines of 
 a mind, a perceiving spirit, and a transcendental ego}- Science 
 also shows the same influence in its older mechanistic theory, 
 that all matter and all physical events consist of the motion of 
 minute extended things or particles. 
 
 On the other hand, as illustrating the other main phase of 
 the influence of this great dominating tendency and tradition, 
 we have, e.g., the Phenomenalism of Kant, and the Idealism of 
 Berkeley, with their common position, that we can know only 
 the (causal) effects of "something" that acts on our "minds." 
 But also Naturalism (developing out of Hume's Positivism), 
 Materialism, Pragmatism, and Komanticism are examples of 
 positions that are developed from the postulate of universal 
 causal interaction. 
 
 The two principles which have thus been used as postulates 
 from which such specific philosophies have been deduced as 
 derivative results are respectively, as logically formulated, the 
 underlying-reality theory of relations, for the substance phi- 
 
 ^^ E.g., Bradley, Appearance and Reality, pp. 141, 143. 
 »* Chaps. XXIX. and XXX.
 
 THE PROBLEM ABOUT PROBLEMS 215 
 
 losophies, and the modification theory of relations, for the 
 causation philosophies. Both theories, however, can be present, 
 in any one philosophy, as applying to different situations. 
 
 These two theories together form what we have previously 
 called the two aspects of the theory of internal relations. Ac- 
 cordingly, with the problem of knowing the pivotal point for 
 most modern philosophical systems, it is this theory of relations, 
 with its two aspects, that has been applied to the several phases 
 of the relational complex, knowing and known object. 
 
 From such an application, or postulation, specific philo- 
 sophical systems have been derived. This postulation as made 
 historically, has been, in most cases, unconscious and uncritical, 
 since it has been due to the influence of the tradition of which 
 the two aspects of the theory of internal relations form the 
 logical core. However, at the present time, with the logical 
 character of the tradition itself come to consciousness, and with 
 the opposed theory of external relations, as instanced in science, 
 also known, it is possible to derive the several chief systems of 
 philosophy in a purely logical manner by freely postulating one 
 or another of the three theories of relations as applying to the 
 complex, knowing and known object, in its several aspects, and 
 by then deducing the logical consequences of these postulates 
 as so applied. 
 
 This method will be pursued in the sections that follow. 
 Solutions of the other major problems of philosophy will then 
 be derived logically from these same postulates, or from those 
 solutions to the epistemological problems which are derived from 
 such postulates, in a manner that in general corresponds to the 
 historical dependence of the solution of these other problems on 
 the prior solution of the problem of knowing.
 
 SECTION II 
 
 CAUSATION PHILOSOPHIES 
 
 CHAPTER XXIX 
 
 PHENOMENALISM 
 
 Phenomenalism may be defined briefly as that philosophical 
 position which maintains, that, by the very nature of the know- 
 ing situation, it is possible to know only phenomena or appear- 
 ances, but not "things" as they really are; or, more briefly still, 
 that "things" as they really are, are unknoivahle, and not 
 merely unknown. This position is identified historically with 
 the name of Immanuel Kant (1724-1804). 
 
 We shall present this position, not as it was consciously 
 developed, temporally and historically, by Kant and other phe- 
 nomenalists, but logically, according to those principles that 
 were unconsciously and uncritically assumed by Kant, and that, 
 as postulates, form a sufficient basis from which to deduce the 
 phenomenalistic philosophy. Thus we shall examine this position 
 much as a modern geometer examines the geometry of Euclid, 
 namely, not in the sequence in which Euclid developed it, but 
 critically in regard to the postulates upon which it depends, and 
 the logical sequence of propositions that result from such postu- 
 lates. 
 
 I. THE LOGICAL DERIVATION OP PHENOMENALISM 
 
 In order to make such a logical derivation of Phenomenalism, 
 let us assume, as Kant really did under the influence of the 
 Aristotelian tradition, (1) that the knoiving self is a psychical 
 "thing" with attributes (categories, percepts, concepts, and the 
 like), i.e., an absolutely unitary being (ego) in which there 'in- 
 here," or which holds together, certain specific mental attri- 
 butes * called categories, concepts, percepts, and the like. Let us 
 symbolize such a self by K8 (knowing self). 
 
 ' Although in his discussion of the Paralogisms (see, e.g., Watson's 
 Selections from Kant, pp. 145-155) Kant denies that the concept of suh- 
 
 216
 
 PHENOMENALISM 217 
 
 Let us also assume (2) that, as numerically distinct from such 
 a self, there is a "thing" or entity, X,' that is to be known, if 
 possible. 
 
 In thus assuming both KS and X to be thing-like entities, it 
 may be that the modificatmi theory of relations is also already 
 assumed for the relational situation ES R X (object-to-be- 
 known-related-to-the-self-that-knows-that-object), for, in accord- 
 ance with the traditional logic, things interact; but, if this 
 assumption is not therewith made, then (3) let it be made 
 explicitly. 
 
 From these three assumptions the consequence can be de- 
 duced, that KS and X, as in relation to each other, interact, so 
 that a twofold effect is produced. X acting on KS produces an 
 effect called sensation, which we will express by KS^,^ while 
 
 stance is applicable to the transcendental ego, nevertheless it can be shown 
 that throughout his entire philosophy Lie regards the knowing self, not 
 as a process, quality, or relation, but as a substratum-like entity in which 
 both a priori concepts (categories) and empirical experiences (sensations 
 and ideas) inhere. 
 
 ^ Kant's " thing-in-itself," all through his Critique of Pure Reason. 
 
 ' See Miiller's translation, Transcendental Esthetic, ed. 1896, pp. 16-17. 
 As here translated, Kant says: — 
 
 " Whatever the process and the means may be by which knowledge 
 reaches its objects, there is one that reaches them directly, and forma 
 the ultimate material of all thought, viz., intuition (Anschauung) . This 
 is possible only when the object is given, and the object can be given only 
 (to human beings at least) through a certain affection of the mind 
 ( Gemiith ) ." 
 
 " This faculty (receptivity) of receiving representations (Vorstellungen), 
 according to the manner in which we are affected by objects, is called 
 sensibility (Sinnlichkeit) ." 
 
 " Objects therefore are given to us through our sensibility. Sensibility 
 alone supplies us with intuitions ( Anschauungen) . These intuitions be- 
 come thought through the understanding (Verstand), and hence arise 
 conceptions (Begriffe). AH thought therefore must, directly or indirectly, 
 go back to intuitions (Anschauungen), i.e., to our sensibility, because in 
 no other way can objects he given to us." 
 
 " The effect produced by an object upon the faculty of representation 
 ( Vorstellungsfahigkeit), so far as we are affected by it, is called sensation 
 (Empfindung). An intuition (Anschauung) of an object, by means of 
 sensation, is called empirical. The imdefined object of such an empirical 
 intuition is called phenomenon (Erscheinung) ." 
 
 " In a phenomenon I call that which corresponds to the sensation its 
 matter; but that which causes the manifold matter of the phenomenon 
 to be perceived as arranged in a certain order, I call its form." 
 
 " Now it is clear that it cannot be sensation again through which 
 sensations are arranged and placed in certain forms. The matter only 
 of all phenomena is given us a posteriori ; but their form, must be ready 
 for them in the mind (Gemiith) a priori, and must therefore be capable 
 of being considered as separate from all sensations." (Italics mine.)
 
 $18 CAUSATION PHILOSOPHIES 
 
 K8 acting on X produces an effect, X^^, the known object 
 "over against" the sensation as psychical "attribute."* In 
 other words, with it necessary, in order to know, that K8 
 should be related to X, it follows, on the assumption or postu- 
 late, that relatedness means dependence, and dependence, modi- 
 fication, that both KS^ and X^^ are of necessity produced in 
 the act of knowing. Neither is produced without the other, 
 and each is produced with the other. If there were no K8 to 
 be in relation to X, there would be only X, but no X^^^; so, 
 likewise, with no X in relation to KS, there would be no E8^. 
 But, KS and X are, or, at least, knowing and object known are. 
 For knowing, as Descartes showed, seems to be implied by its 
 own attempted denial. Doubt knowing, and there still is 
 cogitans. Also, to know without knowing something (an object), 
 seems to be impossible. Indeed, to think of a knowing without 
 an object known is again to reinstate an object. If, then, both 
 K8 and X are, and if, being, they are related, and also if, being 
 related, they interact, then there are, also, K8^ and X^^. K8^ 
 and X^^ as effects imply K8 and X as causes.^ Not only 
 is X^^ different from X, but, since KS^ is the effect of X 
 acting on KS, it is also different from KS. KS is the original 
 thing-self, while KS^ is the stream of sensations, and the like, 
 which constitute the "empirical self" and which we get at by 
 introspection and memory. X, on the other hand, is the original 
 thing -in-it self , the "thing" as it really is, while X^^ is the 
 thing of the material or physical world, known in sensation, 
 and in all that knowledge which depends on and is derived from 
 sensation. 
 
 With X and Z^«, and KS and K8^, respectively, dif- 
 fering and, in some respects, distinct from each other, 
 it is important to ask. How different are they in each 
 case, i.e., how does KS differ from KS^, and X from 
 X^^f In order to determine this, it is evident that one must, 
 if possible, get at or know X by itself, i.e., as X is unrelated 
 to and unmodified by KS, in order to contrast X with X^^, 
 and also get at or know KS, in order to contrast it with KS-^. 
 
 * Cf. C. N. Broad. Perception, Phpsics, and Reality, 1014, Chap. V. on 
 the Causal Theory of Perception, especially pp. 18()-187 and 204-206. 
 
 • Pointed out, e.g., by G. E. Schulze in his JEnesidemus, 1792.
 
 PHENOMENALISM 219 
 
 Otherwise one must rest content with KS^ and X^^, knowing 
 only that they are different from KS and X, but not how dif- 
 ferent. 
 
 However, to succeed in such an attempt to know X by itself 
 is impossible for the reason, that success would mean again to 
 relate X to KS, and, therefore, to make it X^^. Thus it results 
 that it is only X^^ that we can know. In other words, the very 
 attempt to know what "the world" would be like if it were not 
 known, only again brings in the knowing, and so defeats itself, 
 since, by assumption, knowing makes a difference to that which 
 is known. 
 
 Here, it is evident, the ego-centric predicament * appears, but 
 it is also evident that certain specific consequences result from 
 this, because it is also assumed, that knowing makes a difference 
 to the object known. Accordingly, with this assumption actu- 
 ally made, as it was, e.g., by Kant, because of the influence of 
 tradition, it follows, that, unless the knowing can be eliminated 
 in some way, such as by the method of analyzing in situ, then 
 that difference which knowing makes cannot he eliminated from 
 the known world — which is the only world that we know. Such 
 an outcome means, however, that our world is one that is made, 
 at least in part, by knowing, and that it is in just this sense a 
 world of phenomena or appearances.'' Another world — of things- 
 in-themselves — of X's is, of course, implied, as standing in con- 
 trast with these phenomena, but such a world can never be 
 known — unless to discover that which is implied is to know. 
 But, if this should be the case, then it must be granted either 
 that such knowing modifies its object, thereby making that 
 object mere appearance; or that the object that is known — hy 
 heing found to he implied — is known as it really is. But, if 
 this last be the case, then the proposition — basic for Phenomenal- 
 ism — that ttvo related terms (in this instance, knowing and 
 object known hy implication) causally influence each other, ia 
 contradicted, and Phenomenalism as a position becomes self- 
 contradictory. 
 
 The position that is derived logically in this relatively simple 
 
 ' The writer assumes that this predicament is now understood by the 
 reader. See Chaps. X., XXVIII., XXXIX., XLI. 
 ^ Terms also used all through the Critique.
 
 220 CAUSATION PHILOSOPHIES 
 
 manner is tlie essence of the phenomenalistic philosophy. The 
 presuppositions or postulates from which the position is derived 
 are (1) the modification theory of relations, namely, that related 
 terms as related modify or influence one another; (2) that the 
 known object and the knowing are (of course) an instance of 
 related terms; and (3) the ego-centric "situation," to the effect, 
 that knowing is always present to the (only) world that we 
 know, and cannot be eliminated in any way — even by an 
 analysis in situ. 
 
 The further development of the position results from the 
 making of further postulates, one of the important details of 
 such a development being the conclusion or result, that, although 
 things-in-themselves, X's, cannot be known (except by implica- 
 tion), nevertheless the "original" self, K8, can be known in its 
 real and genuine character.^ 
 
 To present the logical development of such an outcome, let 
 us examine the postulates already made, and, if necessary, also 
 
 ^Critique, Milller's translation, ed. 1896, p. 41; here Kant says: 
 " We call sensibility the receptivity of our soul, or its power of receiving 
 representations whenever it is in any wise afl'ected, while the understand- 
 ing, on the contrary, is with us the power of producing representations, 
 or the spontaneity of knowledge. We are so constituted that our intuition 
 must always be sensuous, and consist of the mode in which we are 
 affected by objects. What enables us to think the objects of our sensuous 
 intuition is the understanding. Neither of these qualities or faculties is 
 preferable to the other. Without sensibility objects would not be given 
 to us, without understanding they would not be thought by us. ' Thoughts 
 without contents are empty, intuitions without concepts are blind.* There- 
 fore it is equally necessary to make our concepts sensuous, i.e., to add 
 to them their object in intuition, as to make out intuitions intelligible, 
 i.e., to bring them under concepts. These two powers or faculties cannot 
 exchange their functions. The understanding cannot see, the senses cannot 
 think. By their union only can knowledge be produced. But this is no 
 reason for confounding the share which belongs to each in the production 
 of knowledge. On the contrary, they should always be carefully separated 
 and distinguished." 
 
 Also, Kant says (Miiller'a trans., ed. 1896, pp. 4-5-46) : 
 " On the supposition therefore that there may be concepts, having an 
 a priori reference to objects, not as pure or sensuous intuitions, but as 
 acts of pure thought, being concepts in fact, but neither of empirical nor 
 aesthetic origin, we form by anticipation an idea of a science of that 
 knowledge trhich belongs to the pure understanding and reason, and bp 
 which ice may think objects entirely a priori. Such a science, which has 
 to determine the origin, the extent, and the objective validity of such 
 knowledge, might be called Transcendental Logic, having to deal with 
 the laws of the understanding and reason in so far only as they refer to 
 objects a prion, and not, as general logic, in so far iis they refer promiscu- 
 ously to the empirical as well as to the pure knowledge of reason." 
 (Italics mine.)
 
 PHENOMENALISM 221 
 
 make other postulates. Proceeding in this way we find, that 
 the postulates already made mean not only that KS and X are 
 distinct, but also that they are each active. Let us next set up 
 the two further postulates, (4) that that which is self-evident 
 is true, and (5) that that whose opposite is inconceivable is 
 true. We then find hy hoth these tests that it is true (6) that 
 any active thing, or, that a thing, if it acts, must act in accord- 
 ance with its own nature. 
 
 From this last proposition, as conjoined with postulate (1), 
 it follows that KS, the knowing self, must, whenever there is 
 knowing, act in accordance with its own nature — whatever this 
 nature may be. Accordingly, the problem becomes one of find- 
 ing, if possible, i.e., of knowing what the nature of KS is. But 
 this problem is solved by finding and enumerating all those 
 most generic ways in or by which we must think or know. For, 
 on the one hand, if a "thing" must act in accordance with its 
 own nature, and cannot act in contradiction to this nature, 
 then, on the other hand, and conversely, those ways in which 
 KS must act or think or know will constitute its nature, and 
 to discover what those ways are will be to discover and to know 
 what the nature of KS is. But what those ways are in accord- 
 ance with which KS must act, is shown by finding what princi- 
 ples are such that they are either (7) self-evident, or (8) are 
 presupposed by the very attempt not to use them, or (9) are 
 of such a character that their opposite is inconceivable.'* For, 
 if there is revealed in this way a specific compulsion on KS to 
 use certain principles when it acts or thinks, then by postulate 
 (6) this compulsion is explainable by the hypothesis, that such 
 principles make up the nature of KS, so that to know these 
 principles is to know KS. 
 
 With this the method by which there are ascertained those 
 principles which are apodictic or necessary for thinking and for 
 
 * Cf. Chap. XI., v.-vii. ; see the Critique, Miiller's translation, p. 24, 
 for this principle. Here Kant says: — 
 
 " Space is a necessary representation a priori, forming the very founda- 
 tion of all external intuitions. It is impossible to imagine that there 
 should be no space, though one might very well imagine that there should 
 be space without objects to fill it. Space is therefore regarded as a 
 condition of the possibility of phenomena, not as a determination produced 
 by them; it is a representation a priori which necessarily precedes all 
 external phenomena."
 
 222 CAUSATION PHILOSOPHIES 
 
 knowing, and which constitute the nature of the '' transcendental 
 self," K8, it is evident that the particular list of principles that 
 one may find, is dependent upon the outcome of applying the 
 criteria by which one determines what one must think. These 
 criteria are, respectively, as we have seen, self-evidence, the 
 inconceivability of the opposite, and presupposition hy denial. 
 But since the first two of these criteria are, as we have previ- 
 ously discovered, distinctly psychological tests, and the third, 
 although logical in character, is open to error in its application, 
 the results obtained by using these criteria vary from individual 
 to individual, differing with differences in temperament, train- 
 ing, and intellectual environment and influences. Indeed, only 
 a meager inquiry shows that what is self-evident to one person 
 is not self-evident to another, and that that which cannot be 
 conceived by one is readily conceivable by another. We should, 
 therefore, expect to find a considerable variation in the lists of 
 those principles which the several adherents of Phenomenalism 
 present as categories, or laws of thinking, and such a variation 
 is found. 
 
 For Kant, however, the list of such principles included space, 
 time, unity, plurality, totality, substance and attribute, cause 
 and effect, actuality, possibility, necessity, quantity, quality, 
 relation, modality. 
 
 If, now, there are such "laws of thinking," as the attributes 
 of a thing-like transcendental self, certain interesting conse- 
 quences follow. First, it follows, that these principles are not 
 derived from the residts of the seeming action of ordinary 
 things, X^^'s, on our sense organs (which are also X^^'s) ; i.e., 
 they are not derived from our sensations, K8^, but, rather, they 
 are in some manner "in" the self, KS, and so are prior to 
 ordinary "things" and sensations. Ordinary "things" and 
 sensations are constituted by the interaction of KS and X. But 
 these laws are already in K8 prior to this interaction. Accord- 
 ingly there can be certain sciences such as those of number, of 
 space, of time, of space related to time, i.e., of motion, and these 
 sciences (1) are independent of sense experience, so that (2) 
 they cannot be contradicted by sense experience, and (3) are 
 necessarily true. 
 
 Secondly, the interesting consequence follows, that these prin-
 
 PHENOMENALISM 228 
 
 ciples and all that is rigorously derivable from them are con- 
 stitutive of the world that we live in and know through our 
 sensations. For, if that world is the partial effect of the know- 
 ing self, KS, as it acts on unknowable X's, then the effects so 
 produced are dependent on that self's nature or attributes. But 
 some of the more important of these attributes were (for Kant) 
 space, time, cause, and substance. Therefore the world which 
 we know is spatial, temporal, causal, and substantial, because 
 it is made so by being known. In contrast with this world, how- 
 ever, the unknowable world of X's does not of necessity possess 
 these characteristics, although it may possess them. 
 
 It is evident, therefore, that Phenomenalism allows not only 
 for two distinct kinds of objects, namely, for things-in-them- 
 selves, X's, and for phj^sical objects, X^^'s, but also for two 
 distinct kinds of selves, both of which are, however, known. 
 Thus, on the one hand, there is the original transcendental 
 thing-self, KS, with its attributes, namely, tJie principles of 
 knowing. The traditional definition of a thing, as a unitary 
 substance in which attributes inhere, is, however, the model for 
 this conception. This self is sometimes called by Kant the 
 "transcendental unity of apperception," meaning by this that 
 knowing in its several forms and in its manifoldness belongs to 
 a numerically single knower. And, on the other hand, there is 
 the empirical psychological self, KS^, that consists of the stream 
 of sensations, memories, concepts, emotions, and the like, and 
 that is the effect of things-in-themselves, X's, acting on tran- 
 scendental selves, KS's. 
 
 Kant in developing his Phenomenalism explicitly stated that 
 the laws of the transcendental self, the categories, were applica- 
 ble only to phenomena, meaning by this, that phenomena must 
 bear their impress, i.e., that phenomena must be causal, spatial, 
 temporal, substance-like, etc., because of the effect which knowing 
 produces on the thing (to be) known. 
 
 What, then, about the psychological phenomena of the em- 
 pirical self that are given by introspection, memory, and the 
 like? Do the categories apply to them also? Or, just as know- 
 ing imposes its laws on things-in-themselves to produce physical 
 phenomena, do, conversely, things-in-themselves, X's, impose 
 their nature on the transcendental selves in producing the KS^'s,
 
 224 CAUSATION PHILOSOPHIES 
 
 so that KS^'s are different from X^^'s, and have different cate- 
 gories applying to them? Yet again it may be asked, whether, 
 as known — by a knower — the empirical self should not bear the 
 impress of all the knowing principles that reside in the tran- 
 scendental knower, and, therefore, be spatial, causal, temporal, 
 substance-like, etc.? 
 
 Such questions indicate certain inconsistencies in the phe- 
 nomenalistic philosophy — and Kant himself did not remove them. 
 But the reason why he did not do so may well be, that they 
 are inherent in the position and, indeed, irremovable, even as 
 irremovable as the inconsistency of the Critique of Pure Reason 
 itself, in, on the one hand, portraying and maintaining it to be 
 the real and quite knowahle state of affairs concerning the know- 
 ing situation that, on the other hand, the reality of '^ things" is 
 unknowable and that our knowledge is limited to appearances. 
 
 II. phenomenalism's solution of problems 
 
 It is not our purpose, however, to present the m<iny incon- 
 sistencies that infect the phenomenalistic position. Rather, we 
 shall state or derive those solutions of other problems which the 
 position involves as itself a solution of the problem of knowing. 
 
 Foremost among such consequences is the opportunity that is 
 given for putting "all sorts of things" into the realms of 
 things-in-themselves, the X's, and also of the transcendental 
 selves, the KS's. Phenomena, both physical and psychological, 
 i.e., both X^^'s and KS^'s, are causal in character, i.e., are 
 determined. Therefore in these realms there is no freedom to 
 do the right, to attain to ideals, and, in reasoyiing, to follow im- 
 plications rather than mere associations. Psychologically and 
 physically "man is a machine." But, in the realm of "things" 
 that are unaffected by knowing, and that are, therefore, perhaps 
 not causal, not temporal, not spatial, — indeed, not determined 
 in any way, there may be freedom, with this including the 
 freedom both of the will and of the reason. 
 
 This is the beginning of Phenomenalism's solution of the 
 value problem. Man is a member of two "worlds"; in one, as 
 a transcendental self, a KS, he may be free, responsible, 
 righteous, and immortal, and in this "world" there are values, 
 and these are attainable. In the other world, the phenomenal,
 
 PHENOMENALISM 225 
 
 in which man is psychological and biological, chemical and 
 physical, he is but the product of circumstances, hereditary and 
 environmental, as the completely determining causes of all that 
 he is and does. But, further, the Deity may also be a member 
 of the transcendental "world," thus having to do with, and 
 perhaps even Himself being. The principle of worths and values, 
 and, therefore, not in the least belonging to the realm of the 
 "things" of common sense and science. 
 
 Yet what the Deity's nature is, we cannot know, since hy 
 knowledge we cannot enter this realm. Only by faith is there 
 entrance, and by faith there may be revealed a theistic or even 
 a pantheistic God, who works with a purpose, which, since KS 
 and X underlie KS^ and X^^, itself underlies or is immanent 
 in the world of phenomena. In this way does Phenomenalism 
 solve and connect the axiological (value-), the cosmological, the 
 teleological, and the theological problems. ^° 
 
 In its ethics, therefore, Phenomenalism is opposed to all those 
 ethical positions that consider only the realm of phenomena, and 
 accordingly it is opposed to the ethics of pleasure in any form, 
 be this egoistic or altruistic. Rather, its ethics is absolutistic 
 and formalistic. Man is both a transcendental and an empirical 
 self. Part of his transcendental self is his conscience, and this 
 commands him unconditionally to act out of regard for and in 
 accordance with the right, and not to condition his motives and 
 deeds by seeking pleasure or well-being, either for himself or 
 for others. What the morally right act is in specific circum- 
 stances, may be difficult to determine, but Phenomenalism holds, 
 that in any case there is an absolute right, which is to be dis- 
 covered if possible. As a psychological person, i.e., as a mem- 
 ber of the world of phenomena, man is subject to motives of 
 pleasure and cannot escape them. But it is inconceivable that 
 conscience should approve any act or motive that does not 
 appear to be right irrespective of pleasurable or useful con- 
 sequences. This is Phenomenalism's ethical absolutism and 
 formalism.^^ 
 
 '" These aspects of the Kantian philosophy have been, perhaps, more 
 responsible for the dominating influence of Kant than have the more 
 strictly epistemological features of his philosophy. 
 
 '* Kant's ethical position has received more discussion than perhaps any 
 Other phase of hia philosophy.
 
 226 CAUSATION PHILOSOPHIES 
 
 In its solution of the ontological problem, Phenomenalism is 
 clearly pluralistic, both "quantitatively" and qualitatively, and 
 in respect, also, to both its initial postulates, and the results 
 that are derived from these. Thus there is initially postulated 
 a qualitative dualism of two manifolds, the one of many tran- 
 scendental selves, the other of 7nany "opposed" things-in-them- 
 selves; secondly, there results, as qualitatively different from 
 these two realms, the realm of phenomena, X^^'s and KS-^'s, 
 and these two are in turn each a manifold, as well as qualita- 
 tively different from each other. In a number of respects, 
 therefore, Phenomenalism is pluralistic, both qualitatively and 
 numerically, in its solution of the ontological problem. 
 
 The ontology of the position is, however, not one that is wholly 
 derived, but one that is in part assumed, even as is part of its 
 cosmology. Such ontological and cosmological assumptions are 
 made, as we have seen, in order to solve the epistemological 
 problem. Thus, e.g., there is assumed an ontological pluralism 
 of psychical selves and of opposed things-in-themselves in inter- 
 action. But besides such assumptions, certain other postulates 
 are also made. For Phenomenalism assumes, and does not prove, 
 consciousness to be, or to imply, a thing-like self with qualities 
 or attributes. This basic assumption really conditions the whole 
 phenomenalistic position. It is tacitly assumed, further, that 
 all transcendental selves are alike. This assumption makes it 
 possible also to derive the conclusion, that there is but one 
 system of truths, and, in this sense, but one Truth which all 
 transcendental selves are capable of getting at, especially in 
 the case of those sciences, such as mathematics, geometry, that 
 are derived only by thinking. Emotions and the like may 
 differ from man to man, but pure reason is the same in all, 
 and, for this, there is only one Truth. Phenomenalism is, there- 
 fore, absolutistic and anti-individualistic in its philosophy of 
 Truth. There is but one standard, not many. Phenomenalism 
 maintains this conclusion not only for the a priori sciences of 
 mathematics and geometry, but also for all the empirical sciences, 
 such as physics. But, since the "things" with which the em- 
 pirical sciences deal are made in part by knowing, and since the 
 transcendental selves are all alike, therefore, in order to have 
 one Truth in these sciences, things-in-themselves also must all
 
 PHENOMENALISM 227 
 
 be alike. Accordingly, you and I can know "one thing" in the 
 same way, and so have a basis for agreement in our empirical 
 sciences. 
 
 As regards the problem of the origin of knowledge, Phe- 
 nomenalism clearly holds, both by initial assumption and by 
 derivation, that some knowledge does not come from sensation, 
 but from the self-activity of the transcendental ego. In this 
 respect, therefore, the position is rationalistic. Other knowledge, 
 however, comes from sensation, so that Phenomenalism is also 
 sensationalistic. 
 
 Given its premises, Phenomenalism is bound to take the posi- 
 tion, that knowing helps to make facts, or "things." But 
 knowing, strictly interpreted, connotes the presence of truth. 
 Therefore, with the knowing self interacting with things-in- 
 themselves, something is produced that is ioth fact and truth. 
 Indeed, every fact is a truth, and, conversely, every truth 
 should be a fact, i.e., a phenomenal fact, either a KS^ or an 
 
 But it is at this point that Phenomenalism contradicts itself. 
 For, while this doctrine is its explicit teaching, Phenomenalism 
 offers itself as so much genuine (true) knowledge about the 
 knowing situation, thus tacitly to presuppose that knowing does 
 not make this situation, hut discovers it. 
 
 Here, therefore, are facts that are not made, "colored," or 
 "constituted," even in part, by being known, but that are pre- 
 supposed to be known as if the knowing were not taking place, 
 with truth subsisting as just this specific relation between the 
 facts known and the knoiving. Those presuppositions on which 
 the phenomenalistic position itself rests, as a whole, are con- 
 tradicted, therefore, by its own explicitly stated conclusion, that 
 facts and truth are made by knowing. Consistently with this 
 conclusion, the so-called facts about knowing cannot be facts, 
 since they are not made by knowing. Yet, on the other hand, 
 with Phenomenalism advanced as the true position concerning 
 knowing, they are presupposed to be facts. 
 
 Phenomenalism is in this respect clearly self-contradictory. 
 It involves two definitions of fact, and two of truth. By the 
 implicit presuppositions and definitions on which the position 
 as a whole rests, facts — the facts about knowing — can be known
 
 228 CAUSATION PHILOSOPHIES 
 
 as they really are. These facts are presupposed to be related 
 to the knowing, but not to he constituted by it. Therefore, 
 although the knowing cannot be eliminated existentially , it is 
 eliminated ideally, and is presupposed to be related externally 
 to that state of affairs which holds of knowing and its object. 
 
 As the only condition on which Phenomenalism can be a true 
 theory, there is presupposed, therefore, a perfect solution of the 
 ego-centric predicament. Also, the definition of truth which the 
 position presupposes is, that truth is that relation which holds 
 between knowing and fact, when the latter is known as it really 
 is, i.e., as unmodified by, and, in this sense, as quite independent 
 of knowing. When this specific state of affairs does not exist, 
 and yet knowing is taking place, there is, accordingly, error. 
 Such is the definition of error that, seemingly, Phenomenalism 
 presupposes. 
 
 This definition of error is, however, contradicted by the defini- 
 tions, or by the implications of the definitions that are ex- 
 plicitly advanced by Phenomenalism. For, by those definitions, 
 fact and truth are made in the knowing process, and where 
 there is one, there, also, is the other. Indeed, where there is 
 knowing, and, therefore, the relation of the knowing self, KS, 
 to the thing-in-itself, X, there, also, are hoth facts and truth in 
 the resulting phenomenal realms, K8^ and X^^, but there cannot 
 he error. Phenomenalism, therefore, in its explicit position, 
 that knowing makes fact, can find no place for error, and thereby 
 contradicts the presupposition on which at least the theory as 
 a whole is based, namely, the presupposition that there are both 
 truth and error. 
 
 In summary, then, it may be said, that Phenomenalism, in its 
 explicit development, maintains that truth is not constituted by 
 a "copy" relationship between knowing and fact known, but 
 that in its foundations, it presupposes just this definition of 
 truth; in other words, in its explicit development Phenomenal- 
 ism is pragmatic, i.e., it maintains that whatever is known is, 
 a fortiori, fact and truth, while in its foundations it is ahso- 
 lutistic, i.e., it presupposes that there are facts to be known, if 
 possible, as they really are. Such knowledge is true knowledge, 
 and one instance of such knowledge is supposed to he the phe- 
 nomenalistic theory aiout knowledge.
 
 PHENOMENALISM 229 
 
 The statement of the other epistemological positions that are 
 involved in Phenomenalism can be made briefly. First, it is 
 quite evident that the position accepts the validity of intel- 
 lectual analysis as a means of getting at fact and truth. Phe- 
 nomenalism is, therefore, intellectualistic. An opportunity for 
 non-intellectualism is found, however, in the necessity of satis- 
 fying the demand, that there should be some method of approach 
 to the non-phenomenal realm. The immediate revelation, by 
 introspection, of the dictates of conscience and, perhaps, of the 
 axiomatic principles of logic and of mathematics, and the like, 
 is held to characterize such an approach to the transcendental 
 self, while faith and esthetic appreciation are advanced as non- 
 intellectual methods of approach to things-in-themselves. 
 
 With reference to the problem of the nature of consciousness, 
 Phenomenalism takes the position, in its basic assumptions, that 
 consciousness in every form is of the nature of a psychical, thing- 
 like and suhstance-like ego with attributes, rather than a process 
 or a relation. Even the empirical psychological consciousness, 
 as the combined and total effect of the action of things-in-them- 
 selves on the transcendental self, is of the character only of 
 a complex of derived attributes that inhere in an ultimate thing- 
 like self or soul. 
 
 This completes the presentation of the main points that are 
 involved in the logical and the metaphysical "structure" of 
 Phenomenalism. The position is clearly a product of the Aris- 
 totelian formal logic as this is applied, as a method, to the 
 development of a specific philosophy that is involved in the 
 concepts of substance and cause. The more important details 
 of the position result from tacitly assuming, historically, be- 
 cause of the influence of the Aristotelian tradition, — (1) that 
 both the knowing self and the object known are thing-like 
 entities, each with a structure of attributes inhering in a sub- 
 stratum, and (2) that, by virtue of being related, each of these 
 entities causally affects the other. The position is, therefore, 
 very distinctly a causation-substance philosophy. 
 
 We have given this relatively long account of Phenomenalism, 
 because of its pivotal position among a number of philosophies 
 that rest on essentially the same foundation, but that differ in
 
 230 CAUSATION PHILOSOPHIES 
 
 certain details. Those other philosophies, for which Phenom- 
 enalism is logically the center, are Subjective Idealism, Posi- 
 tivism, Naturalism, Pragmatism, and, perhaps somewhat para- 
 doxically, Materialism. Some of these, notably the first two, 
 historically preceded and culminated in Phenomenalism. Ac- 
 cordingly their logical structure becomes clearer in the light of 
 that position, Phenomenalism, which, historically, was their 
 culmination. 
 
 in. CRITICISM OP PHENOMENALISM ^2 
 
 However, before we examine these other positions, to state 
 their postulates and derive other propositions from these, we 
 must present our fundamental criticism of Phenomenalism, 
 since it is upon the basis of this criticism, as holding not only 
 of Phenomenalism, but also of other systems, that our gradual, 
 inductive, and yet rationalistic development of Rationalism and 
 Realism depends. Also, since our criticism has this specific 
 outcome, as identical with our final empirical generalization, 
 the frequent restatement of the same criticism under varying 
 circumstances {i.e., the repeated criticism of the several phi- 
 losophies that are opposed to Realism and Rationalism) will 
 be pardonable, if such criticism is regarded as the citing of 
 such typical instances as are necessary for the establishment of 
 any inductive generalization.^^ 
 
 As is well known, much, and perhaps most modern philosophy 
 centers around the epistemological problem. This is especially 
 true of the positions just named. For especially since Kant, 
 but also since Descartes, Locke, Berkeley, and Hume, most 
 philosophers have deemed it necessary to solve the problem of 
 knowledge, in order subsequently to define the status of that 
 which is known. In other words, philosophers have set out to 
 discover the facts, or the states of affairs concerning knowing 
 and the relation of knowing to the object known, as a pre- 
 requisite for solving the other problems of philosophy, and, as 
 a result, they have issued with those definite solutions which 
 have received such names as Phenomenalism, Subjective Ideal- 
 ism, Positivism, Pragmatism, and even Materialism. But this 
 
 " See the writer's " Logical Structure of Self -refuting Systems," Phil. 
 Review, Vol. XIX., 1910, pp. 276-301. 
 " See Chap. XV., m.
 
 PHENOMENALISM 231 
 
 means that, whatever has been presupposed as to methods, and 
 the like, it has at least been presupposed (by the philosophers) 
 that there are some facts, or state of affairs, (1) that are known 
 as they really are, (2) that can he known hy others, and (3) 
 that, though related to knowing, are not caused, altered, modi- 
 fied, affected, or constituted by virtue of that relation. These 
 facts or states of affairs, in the instance of the epistemological 
 problem, concern the knowing situation. 
 
 As regards this situation, however, if one endeavors to think 
 or conceive these facts as they would be, were they not known, 
 one does not succeed, since thereby is the knowing reinstated. 
 Clearly, one cannot know entities, either simple or complex, 
 except as they are known. So much of truth is there in the 
 ego-centric predicament. But this predicament is itself forth- 
 with solved in the very presuppositions that are made in any 
 solution of the problem of knowledge, namely, in the presup- 
 positions, (1) that, although the facts about knowing are known 
 facts, the specific knowing {e.g., of the philosopher who knows 
 them) does not causally affect these facts; (2) that this know- 
 ing is externally related to these facts, so that (3) the knowing 
 is ideally eliminated from the (known) facts by an analysis 
 in situ. 
 
 These presuppositions are, however, the main principles of that 
 position which is called Realism. Other philosophies, therefore, 
 ultimately rest on this realistic hasis,^^ and differ from Realism 
 in not carrying through consistently the very principles which 
 they presuppose and on which they are based. Realism, discov- 
 ering that these principles are presupposed in any system that 
 even pretends to portray the facts concerning knowing, extends 
 these same principles to all cases of knowing. It does this on 
 the ground of the principle of consistency, which demands that, 
 if these principles hold for the knowing of the facts concerning 
 knowing, they must be presumed also to hold for the knowing 
 of all other facts, until good reasons to the contrary can be 
 advanced. Realism in taking this position is self -consistent in 
 its epistemology, while any other philosophy which, like Phe- 
 nomenalism, takes one position with reference to the knowing 
 
 ** Cf. Chaps. I., II., and III., and also the later chapters, XXXIX. to 
 XLV., on Realism.
 
 232 CAUSATION PHILOSOPHIES 
 
 of "other facts," and another position as regards the knowing 
 of the facts concerning knowing, is self -contradictory. 
 
 For this reason Realism has a marked advantage over other 
 positions : it is self-consistent, whereas they are self-contradictory 
 in that while they are all realistic at a certain point, they depart 
 from this realism by making arbitrary and sometimes hidden 
 assumptions, thus to build up reinterpretations that completely 
 transform and transmute the facts of both common sense and 
 science. For example, that which to common sense and science 
 is a physical object, is transformed into mere appearance, or 
 into spiritual object or "manifestation," or into "human inven- 
 tion." Realism objects not so much to these conclusions as 
 such as to the methods by which they are arrived at, for it finds 
 these methods to be artificial, invalid, and self-contradictory. 
 On the other hand, if the same principles, logic, and general 
 methods that are presupposed by any philosophy in getting at 
 the facts ahout knowing, were used in order to know other fads, 
 and if these facts should thus be found to be qualitatively dif- 
 ferent from what common sense and science accept them to be, 
 then would Realism be quite compatible with at least some of 
 the conclusions of some of the positions that are opposed to it. 
 For example, it could accept the position, that the whole uni- 
 verse is ultimately psychical in character. But Realism finds 
 that, up to the present time, opposed systems have not thus 
 been consistently derived, but that, in the method of arriving 
 at their transforming conclusions, such systems depart from 
 and contradict the very presuppositions on which, as philoso- 
 phies, they depend." 
 
 BIBLIOGRAPHY 
 
 '° The Kantian bibliography is very extensive, and need not be given 
 here. Thilly, History of Philosophy, pp. 395-396, gives the complete list 
 of Kant's own works, and the more important volumes on the Kantian 
 philosophy. The writer recommends Watson's Selections (from the three 
 Critiques) for the beginner, and, for the more advanced student, Miiller'a 
 translation. Kant's Criticfve of Pure Reason was first published in 1781, 
 and a second, revised edition appeared in 1787. His ethical works are, 
 Griindlage zur Metaphysik der Sitten, 1785, and Kritik der praktischen 
 Vernunft, 1788; his chief aesthetic work, Kritik der Urteilskraft, 1790. 
 
 The most thorough-going contemporaneous Kantians are: H. Cohen, 
 Logik der reinen Erkenntniss, 1902, and P. Natorp, Die logischen Orund- 
 lagen der Exakten Wissenschaften, 1910. Other philosophers who are 
 more Kantian than anything else are: Sir William Hamilton, E. Zeller, 
 K. Fischer, F. A. Lange, H. Vaihinger, B. Erdmann, E. Adickes, A. 
 Kitschl, K. Lipsius, F. Paulsen, C. Kenouvier.
 
 SUBJECTIVE IDEALISM 233 
 
 CHAPTER XXX 
 
 SUBJECTIVE IDEALISM 
 
 I. LOGICAL DERIVATION 
 
 Subjective Idealism is derived by a proof very similar to 
 that for Phenomenalism. The central prohlem is once more 
 that of knowing, and the solution of this problem concerns 
 chiefly the nature of known objects. All objects prove ultimately 
 to be psychical — except, perhaps, time. To establish this con- 
 clusion was the purpose of George Berkeley, the founder of the 
 system, in order thereby to do away with matter completely, 
 thus to find room for the omnipotence of the Deity. 
 
 To deduce this position, not in its historical, but in its logical 
 order, let us assume : — 
 
 1. That there are conscious selves ^ that are spirits, or souls, 
 with, perhaps, their own laws and qualities; in other words, 
 that there are psychical "things," which are substance-like 
 substrata with attributes called ideas.^ 
 
 2. That a spirit is one, simple, undivided, active being.* 
 
 3. That whatever a spirit or soul directly perceives and 
 knoivs is an idea.^ 
 
 4. That there are 7io abstract ideas.^ 
 
 5. That whatever is "given" to a spirit either without or 
 against its will is caused.^ 
 
 6. That there is something that acts on (these thing-like), 
 spirits, and produces in them effects called (sensations and)' 
 ideas. Let us (with Berkeley) call this "something" God, 
 defining this Being as an Infinite Spirit,^ and denying all (im- 
 portant) action of finite spirits on this Infinite Spirit. 
 
 Comment: This Infinite Spirit takes the place, logically, of 
 
 * Cf. Berkeley, Principles of Human Knowledge, ed. Fraser, §§1, 2, 7, 
 27, 89. 
 
 ' Ibid., §§ 1, 86, 89. ' Ibid., §§ 7-10, 25. 
 
 ' Ibid., § 27. • Ibid., §§ 26, 29, 30, 33. 
 
 *Ibid., § 1. 'Ibid., §§ 26-30, 51, 67, 60-63, 106, 147.
 
 234. CAUSATION PHILOSOPHIES 
 
 the things-in-themselves of Phenomenalism, only, unlike these, 
 it is not unknowable, since it can produce in us a true idea of 
 itself. 
 
 7. That time is not a mere idea, but is a "condition" for the 
 occurrence of ideas, and for the existence of spirits both finite 
 and infinite.^ 
 
 8. That so-called physical or material things are (unlike 
 spirits) only the collection or union of (their) qualities, and 
 that there is no underlying material substratum or substance in 
 which these qualities inhere." 
 
 9. That certain qualities, such as color, which we perceive (in 
 so-called physical objects) are the effects, in finite spirits, of 
 something acting on these, and that accordingly these qualities 
 are like spirits in nature, i.e., are psychical or conscious.^^ 
 
 10. That all so-called physical qualities and attributes, even 
 hardness, solidity, extension, figure, and motion, are, like color, 
 perceived.^^ 
 
 11. That only those ''parts'^ of the so-called physical world 
 that are (concretely) perceived are real.^- 
 
 12. That God is, and that His nature is (among other 
 "things") that of being an eternal perceiver.^^ 
 
 13. That the reahn of physical things is law-abiding, regular, 
 and uniform.^^ 
 
 14. That spirits are distinct and different from ideas, even as 
 attributes are distinct and different from substance.^^ 
 
 15. That spirits are in communication.^^ 
 
 From these assumptions or postulates the following proposi- 
 tions are derivable : — 
 
 1. All so-called physical qualities such as extension, solidity, 
 figure, and motion are, like color, psychical or subjective, i.e., 
 are identical with (sensations or) ideas in some spirit. 
 
 2. A physical thing is the collection or union of these ideas 
 
 * Cf. Berkeley, Principles of Human Knowledge, ed. Fraser, § 26, 
 ^ Ibid., §§ 1, '30-35, 37, 38. 
 " Ibid., §§ 9-12. 
 
 " Ibid., §§ 1, 2, 38, 42-44, 67; cf. references for 2; also Theory of Vision, 
 §87. 
 
 '' Ibid., §§ 3-6. 
 
 " Ibid., § 26. 
 
 ^* Ibid., §S 30-32, 45. 
 
 " Ibid., §§ 2, 7, 89, 142. 
 
 *' Ibid., § 1, and all through the Principles as a tacit assumption.
 
 SUBJECTIVE IDEALISM 235 
 
 that some spirit has, and that are held together by the spirit 
 which has them. 
 
 3. The physical '^ world" is the totality of such things, — each 
 as a group of sensations that belong to some spirit, with perhaps 
 many spirits having similar sensations. 
 
 4. If a finite spirit does not perceive, nevertheless God, as 
 the infinite and eternal perceiver, is perceiving, so that physical 
 things continue to exist as identical with His percepts. There 
 is, therefore, an order, regularity, and uniformity, a persistence 
 and constancy in the universe, that are independent of all finite 
 spirits and of their percepts, but that are dependent upon the 
 eternal perception of the Deity. 
 
 This eternal perception follows from the iheistic definition of 
 the Deity as an all-knowing, all-perceiving, as well as all- 
 powerful being, and from the fact that time is "made" inde- 
 pendent of ideas, even as are spirits. The postulation of the 
 order, regularity, and uniformity of nature, together with the 
 assumption, that finite beings might not exist, or might not per- 
 ceive, demands the conclusion, that the Deity is this eternally 
 perceiving being, while, conversely, this conclusion, as an 
 hypothesis, accounts for that order and uniformity. 
 
 All these conclusions may be stated together briefly in the 
 form, that the "world" consists of many finite spirits and one 
 Infinite Spirit, and of their ideas — time alone being the ex- 
 ception. 
 
 The order of the assumptions and deductions as they are 
 above stated is not the order of the original argument for Sub- 
 jective Idealism, as it occurred psychologically in the mind of 
 Berkeley, and as it was presented in The Principles of Human 
 Knowledge, — but it is, in fact, almost the inverse of the order 
 of that historical argument. Berkeley's argument proceeded 
 from the traditional assumption of the times, as stated in 
 Locke's Essay Concerning Human Understanding, that certain 
 qualities of things such as color were subjective or psychical, so 
 that their esse was their percipi, although they were, in common 
 sense, "projected" into the object. For Locke, in accordance 
 with the mechanistic philosophy of his time, these secondary 
 qualities or sensations were caused by the objective motions, in. 
 space, of solid, figured particles. But Berkeley argued that alt
 
 286 CAUSATION PHILOSOPHIES 
 
 qualities were perceived, and, therefore, that to be consistent, 
 one must hold either that all were objective or that all were sub- 
 jective, and of the two possibilities, he chose the second. Fur- 
 ther, both Berkeley and Locke held the position, although they 
 did not adhere to it consistently, that only that was a fact or 
 an existent which was directly perceived, or the idea of which 
 could be traced back to sense-perception. But neither Locke 
 nor Berkeley could discover any perception of that substance 
 which, in accordance with the traditional definition, was held 
 to be the core or substratum in which physical qualities inhere. 
 Locke, nevertheless, retained this substance-doctrine, while 
 Berkeley gave it up. For Berkeley, then, a physical thing ivas 
 only a group of qualities. It followed — since any physical 
 quality was identical with a sensation — that a physical thing 
 was identical merely with a group of sensations, and that na 
 matter in the sense of a material substratum was existent. 
 
 But Berkeley could not escape the influence of the traditional 
 view that ideas were known by, or belonged to, some soul or 
 spirit. Faced by the consequence, therefore, that the world of 
 physical things would be non-existent, if finite spirits should 
 cease to perceive, he saved that world in its order and uni- 
 formity by assuming the perception of an infinite and eternal 
 spirit, God. Thus he made his system comply Avith the demands 
 of both common sense and science. 
 
 However, it is not our purpose to examine Subjective Idealism 
 in its historical setting, but to consider it as a position which 
 today, independently of its history, might lay some claim to 
 acceptance. 
 
 The position postulates, in its foundation, the modification 
 theory of relations as holding for the relation between each 
 finite spirit, KS, and the infinite spirit, God. It postulates also 
 the underlying-reality theory of relations as holding for each 
 spirit, whether finite or infinite. Thus a spirit, as distinct from 
 sensations and ideas, is maintained to be an underlying psychical 
 substratum in which sensations and ideas inhere, and which 
 holds these together as so many attributes. This means that 
 both kinds of spirits are really postulated as psychical things, 
 while the infinite spirit is assumed to act on finite spirits so as 
 to cause in them certain effects, just as in Phenomenalism things-
 
 SUBJECTIVE IDEALISM 237 
 
 tn-themselves are assumed to act on transcendental selves. 
 These effects are sensations and ideas, even as they are in 
 Phenomenalism. But, whereas in the latter position, there is 
 "something" to he known, if possible, namely, an X or thing- 
 in-itself, which is modified by being known, in Subjective Ideal- 
 ism this is not the case. Rather, in this last theory, it is held 
 that only the effects or sensations, and that which is derived 
 from them, namely, ideas, are known. For Subjectivism, also, 
 specific sensations are identical with the specific qualities of 
 things, and specific groups of sensations are identical with 
 specific things. In contrast with this, in Phenomenalism a 
 sensation and a physical quality are numerically distinct and 
 yet between the two there is a correspondence which results from 
 the action of the knowing self on thing s-in-themselves to produce 
 X^^, and of things-in-themselves on knowing selves to produce 
 K8^. It is, therefore, indifferent whether we say that we know 
 the modified things-in-themselves and the sensations, or only 
 the latter. 
 
 Subjective Idealism is derived, then, in much the same way 
 as is Phenomenalism, but there is the difference, that for Sub- 
 jectivism knowing makes or creates its object completely, 
 whereas for Phenomenalism there is an object or thing-in-itself 
 which is only modified in being known. But this difference is, 
 perhaps, not essential, since, if things-in-themselves did not exist 
 at all (and how, in Phenomenalism, they can be known to exist, is 
 a question), the result would be the same, for we could still 
 have our sensations and ideas, with these playing quite the 
 same role as do the physical things of Subjective Idealism. It 
 is only provided one wishes to account for the occurence of 
 sensations and ideas, that he must assume some cause, but this 
 cause might as well be a Deity, as it is maintained to be in 
 Subjective Idealism, as a group of things-in-themselves, as it 
 is held to be in Phenomenalism. 
 
 n. subjectivism's solution of problems; criticism 
 
 With these the main outlines of Subjective Idealism as a 
 philosophy that gives a specific solution to the epistemological 
 problem, we may next consider those solutions of other problems 
 which it either derives or presupposes.
 
 238 CAUSATION PHILOSOPHIES 
 
 First, we find that the position rests upon certain assump- 
 tions, both C'pistcmological and ontological, which it presup- 
 poses hut does not prove. Thus, e.g., it takes a distinctly realistic 
 position as regards that complex object or state of affairs con- 
 cerning which it lays claim to present true knowledge. For it 
 presupposes that it is quite possible to know the real state of 
 affairs concerning spirits and their ideas. Accordingly it pre- 
 supposes that the knowing processes of the investigator, although 
 they are related to this state of affairs, do not in the least create, 
 alter, or affect either it or the spirits and ideas of which it 
 holds. The ego-centric predicament is thus presupposed to be 
 solved for these specific knowings, and, accordingly, for the 
 relation between them and their objects, the theory of external 
 relations is presupposed. 
 
 The state of affairs which is thus known concerns, however, 
 not only finite spirits and their ideas, but also the Infinite Spirit 
 and His ideas. Toward these entities, and their relationships 
 to one another. Subjectivism thus assumes a distinctly realistic 
 position. But this epistemological or logical assumption is itself 
 the basic ontology of Subjectivism. 
 
 This basic ontology is extended by certain cosmological and 
 further logical doctrines. Thus, as regards the so-called physical 
 world, Subjectivism maintains that only that which is concretely 
 perceived is real. For example, the specific color and hardness 
 of my pen are real, but color and hardness in general are not. 
 Universal and abstract terms concerning the physical world, 
 are, for Subjectivism, mere words. They are not even ideas. 
 This is its Nominalism. It follows from this, that there is no 
 such "thing" as a physical substance or substratum in general. 
 But, on the other hand, one does not perceive any particidar, 
 concrete substratum, but only qualities, and so it follows, that 
 a substratum does not exist at all. 
 
 This ontology is completed by the further assumption, in 
 accordance with certain scientific theories that were current in 
 the seventeenth and eighteenth centuries, that certain qualities, 
 such as color (and temperature), though sensed as belonging 
 to things, are really only psychical and subjective, i.e., it is 
 assumed that the sensation and the specific color sensed are 
 numerically identical — although they are distinguished.
 
 SUBJECTIVE IDEALISM 239 
 
 The remaining ontology of Subjectivism is inferred from 
 this assumed basis. Thus from the assumptions, (1) that 
 some qualities are subjective, and (2) that all qualities are 
 perceived, it is concluded (3) that all qualities are sub- 
 jective. From this conclusion together with the postulates 
 (4) that only that which is perceived is real, and (5) that 
 there is no perception of material substance, it is concluded 
 that a physical thing is only a group of sensations or 
 qualities, and also that there is no material substance in the 
 world. 
 
 That which is regarded as the usual objective cause of sensa- 
 tions being thus done away with, causation is nevertheless 
 assumed in order to comply with the fact, that sensations come 
 to us against our will. This means that some cause for sensa- 
 tions is postulated, and this cause is identified with God, the 
 Infinite Spirit. 
 
 The completed ontology of Subjectivism, is, therefore, that all 
 existence is psychical, mental, conscious, or spiritual. This is 
 the position's Qualitative Monism. Yet there are many finite 
 spirits, and One Infinite Spirit, each spirit having many ideas. 
 This is the position's Pluralism. 
 
 In its cosmology Subjectivism grants the usual order, regu- 
 larity, and constancy of the universe, as accepted, e.g., by 
 science. To account for this, God's eternal perception is postu- 
 lated. Yet with God as both the eternal perceiver and the cause 
 of our ideas, there is opportunity for exceptions to the order of 
 nature, with these exceptions identical, perhaps, with miracles. 
 Also, with God thus distinct from finite spirits, and, as cause, 
 in control of ideas, and therefore of qualities and of things 
 (since a thing is only a group of sensations), there is oppor- 
 tunity for God to work His purposes and accomplish His aims. 
 This is Subjectivism's Theism and its Transcendent or External 
 Teleology, and therewith, also, is the value-problem given a 
 specific solution. 
 
 The solution of the psychological problem which Subjectivism 
 offers is mostly contained in its basic ontologj\ Specific sensa- 
 tions and ideas are the possessions or attributes of souls or 
 spirits. The soul or spirit is the true inward self that underlies, 
 as a psychical substance, the changing stream of sensations,
 
 240 CAUSATION PHILOSOPHIES 
 
 memory, ideas, and the like, which in turn constitute the em- 
 pirical self. 
 
 In its epistemology Subjectivism is absolutistic and realistic. 
 It claims absolute truth for its own specific account of the 
 universe as given in its solution of the several philosophical 
 problems. That account is offered as presenting the states of 
 affairs of the universe as they really are, and not as they merely 
 appear, or as we make them, or as they merely satisfy us 
 and "tvork" successfully. Subjectivism, therefore, in that 
 epistemological position which it takes toward itself, will 
 have nothing to do with Phenomenalism, Subjectivism, or 
 Pragmatism. Indeed, just as each of these positions inter- 
 prets itself absolutistically and realistically, so also does 
 Subjectivism. 
 
 But Subjectivism clearly involves certain inconsistencies. 
 Thus it fails to observe consistently its main position, that the 
 existence of (some) things is identical with their being perceived 
 or known, for, as is evident, it does not apply this position to 
 the knowledge of other spirits and of their ideas. If it did this 
 it would mean, that all other spirits, — even God himself — would 
 be merely one spirit's ideas, so that the whole universe would 
 be identical with one spirit's consciousness, cr with the psychical 
 attributes of a single spiritual substance which is a self. This 
 consistent development of Subjectivism is called Solipsism. It 
 is evident, however, that Solipsism does not solve any important 
 philosophical or scientific problems, since, by bringing every- 
 thing within one consciousness, it leaves all the problems as to 
 the further character and relations of "things" still remaining 
 within that one consciousness. 
 
 The other consistent development of Subjectivism makes the 
 position self-defeating. For, since it is presupposed or main- 
 tained by Subjectivism that other spirits are not identical with 
 their percipi (or with their concipi) by any one spirit, the only 
 consistent conclusion is, that other "things," such as physical 
 qualities, may also be not so identical, but that they may be 
 quite as independent of being known and quite as numerically 
 distinct from ideas as are spirits. In other words, with the ego- 
 centric predicament presupposed as solved for the knowledge of 
 spirits, it cannot, without good reasons therefor, be supposed
 
 POSITIVISM 241 
 
 to imply special difficulties as regards the knowledge of other 
 entities. 
 
 Similar and closely allied inconsistencies affect Subjectivism 
 in a number of other respects. Thus concerning the knowledge of 
 spirits and of their ideas, Subjectivism accepts the position that 
 true knowledge is a copy of its object, while, as regards the 
 knowledge of physical qualities, it makes knowing creative. But 
 the inconsistencies which have been indicated suffice to show that 
 the position is not one that can lay very strong claim to accept- 
 ance, although it is a position that, granted its premises, seems 
 plausible up to a certain point. Accordingly we turn to the 
 examination of other philosophies. 
 
 CHAPTER XXXI 
 
 POSITIVISM 1 
 
 I. DERIVATION 
 
 Positivism is that position which, historically, was arrived at 
 by avoiding some of the inconsistencies of Subjectivism, and, 
 although it can, like other positions, be derived logically from 
 certain assumptions or postulates, nevertheless, to present the 
 historical derivation is, at this point, advantageous. The logical 
 derivation will be given subsequently. 
 
 The Subjective Idealism or Psychism of Berkeley was derived 
 
 ' Positivism has attracted a large number of philosophers and scientists, 
 chief among whom are the following: Hume (1711-1776), Treatise Up^n 
 Human Nature, 1739-40; five volumes of Essays that include the Enquiry 
 Concerning Human Understanding, 1748; Works, ed. by Green and Grose, 
 4 vols., 1874, new ed. 1909; J. S. Mill (1806-73), Logic, 1843; Principles 
 of Political Economy, 1848; Utilitarianism, 1861; Examination of Sir 
 William Hamilton s Philosophy, 18C5; new ed. of Mill's works in the New 
 Universal Library; Auguste Comte ( 1789-18r>7 ) , Coiirs de Philosophie 
 positive, 6 vols., 1830-42; abridged trans, by H. Martineau; cf. J. S. Mill, 
 Comte and Positivism; R. Avenarius, Kritik d. reinen Erfahrung, 1888; 
 Der Menschliche Welthebriff, 1891; Karl Pearson, Grammar of Science, 
 1892, 2nd ed., 1900; E. Mach, Analysis of Sensations, 1886, 5th ed., 1906, 
 trans, by C. M. Williams; also, Popular Scientific Lectures, 4th ed,, 1910 j 
 Kenan, Taine, Eibot, Tarde, are positivistic.
 
 242 CAUSATION PHILOSOPHIES 
 
 from the partial Realism and partial Phenomenalism of John 
 Locke (1632-1704).- Locke accepted the dominant scientific 
 view of his time as to the real nature of the external world, 
 namely, that this consisted only of solid or impenetrable, ex- 
 tended, figured articles in motion.^ Groups of these particles 
 were held to act causally on our sense organs, whatever these 
 organs might be.'' The result was, that in some cases sensations 
 were like,'^ in other cases ® unlike objective qualities. Thus 
 sensations of solidity, extension, figure, and motion were like 
 their causes. Therefore in these cases "things" were known 
 as they really are, and the known "thing" was distinct from 
 and independent of the knowing. This is part of Locke's 
 Realism — a Realism tliat has, indeed, persisted in science in 
 perhaps only slightly modified form even to the present. In 
 other cases, however, there was a transformation of quality. 
 For example, the motion of solid, extended particles produced 
 (the sensation of) color, but color was very unlike such particles 
 in motion. This is Locke's Phenomenalism. 
 
 Subjectivism, with Berkeley, insists, as we have seen, (1) that 
 only that which is perceived is real, (2) that material substance 
 is not perceived, (3) that in the physical world only the quali- 
 ties are perceived, and (4) that all qualities are, like color, sub- 
 jective or psychical. 
 
 Historically, therefore, Berkeley's Subjectivism was derived 
 from Locke's Realism and Phenomenalism, although from the 
 standpoint of modern logical theory, it can, as we have seen, 
 be derived in a manner that is independent of its historical 
 development. This is done by assuming God, instead of moving 
 particles, to be the cause of all sensations^ 
 
 However, both logically and historically, Subjectivism rests 
 
 ^ Essay Concerning Human Understanding, ed. by Fraser, 2 vols. 
 
 ^ Essay Concerning Human Understanding, Bk. II., Chap. VIII., 9, 12, 
 13, 17, 23, and Chap. XXIII., 26. 
 
 * Op. cit., especially, Bk. II., Chap. VIII., 5, 23, 24, 25. 
 
 " Op. cit., Bk. II., Chap. VIII., 7, 9, 14, 24. 
 
 ' Op. cit., Bk. II., Chap. VIII., 7, n, 10, 13, 14, 24. 
 
 ' Locke, Berkeley, and Kant each clearly assume such a cause. It is 
 moving particles for Locke, Ood for Berkeley, things-in-themselves for 
 Kant. However, if all that we can know directly are ideas, then it is clear 
 that it is only from the assumption or postitlation of the principle of 
 causation that wo can infer that ideas {as effects) have a cause. And 
 what difference docs it make hy what name we call this cause?
 
 POSITIVISM 243 
 
 upon the assumption that there are thing-like spirits that have 
 sensations and ideas, ^ and that these last inhere in the spirit, 
 as qualities in an underlying substratum. Indeed, under the 
 influence of the Aristotelian tradition, Subjectivism rests on 
 the assumption, — as a tacit application of the underlying- 
 reality theory of relations, — that the soul or spirit is a psychical 
 substance.^ And yet, with it also a basic assumption of Sub- 
 jectivism, that only that which is perceived is real, this assump- 
 tion of a spiritual substance cannot consistenily he maintained, 
 since of such a substance there is no perception. 
 
 The dilemma is clear. On the one hand, if there is a spiritual 
 substance that is independent of and not numerically identical 
 with the perception of it, then there may also be a physical 
 substance and physical qualities, one or both, that are inde- 
 pendent of perception. But, on the other hand, if there is no 
 physical substance, because it is not perceived, and if physical 
 qualities are identical with sensations, then, seemingly, one 
 should conclude that there is no spiritual substance, if there is 
 no perception of it, and that there are only sensations and ideas. 
 
 Positivism in its historical origin takes the second horn of 
 this dilemma. Discovering the inconsistency between the basic 
 postulates of Subjectivism, (1) that there are spirits, and (2) 
 that only that which is perceived is real,^*' Positivism gives up, 
 the first assumption, and maintains that there are only im-j 
 pressions (sensations) and ideas. ^^ Only of these are we abso-\ 
 lutely and positively certain. Only sensations and ideas and 
 the mere proximities, sequences, similarities, and differences 
 among these, are given as facts?^ All else is only inferred, and 
 is, therefore, not certain, but doubtful, and, perhaps, not fact at 
 all, but only belief and superstition and human invention. 
 
 Positivism thus puts into the limbo of only the probable and 
 the possible the many entities which other philosophical posi- 
 tions either assume as fundamental and as absolutely and neces- 
 sarily true, or which they reach by inference. Material and 
 spiritual substances, causes and effects, a numerically single 
 
 * Bee the previous chapter. 
 
 «Cf. Locke, Bk. II., Chap. XXIII. ff. 
 
 ^o Berkeley, Principles, §§ 3-6. 
 
 *^ Hume, Treatise, Bk. I., Part I., section vi. 
 
 ** Hume, Treatise, Bk. I., Part I., sections i.-vii.
 
 244 CAUSATION PHILOSOPHIES 
 
 underlying reality in the universe, categories of thought, a 
 deity,^^ logical laws, and many other "things," all sutfer this 
 fate,^* and only that flow of sensations and ideas which is cen- 
 tered around the idea of a self remains certain and undeniable. 
 All else takes its place in the realm of non-fact and error. 
 
 But with it thus once demonstrated that sensations and ideas 
 are the only faets,^^ so that there are no other facts with which to 
 contrast them, the important and interesting question arises, 
 whether one is logically justified in regarding these entities as 
 sensations in the sense in which this term is used in Subjectivism 
 and Phenomenalism, namely, as something psychical or 77iental. 
 For, by the traditionally accepted definition, the psychical or 
 the mental is that which is the manifestation of a spirit, or 
 that which is not material, or both. But with both spirits and 
 matter done away with. Positivism can no longer use this 
 definition. Its sensations and ideas become, therefore, only 
 imspecifiahle '^elements" or X's — entities that are undefinable 
 in their essence, that are neither physical nor mental, and that 
 are contrastahle only as regards their own kinds. Possibly the 
 excellent opportunity is thereby furnished of getting away from 
 the necessity of finding what they are, and so of being free to 
 ascertain tvhat they do, in terms of one another. 
 
 If we thus confine and correct Positivism, we have a very 
 interesting, but a very unusual philosophy. In the historical 
 development of the position, physical or material substance was 
 first eliminated, and next, all physical qualities were, like color, 
 "made" subjective. There remained only spirits and their sen- 
 sations and ideas. Then spiritual substance was eliminated. 
 As a result only sensations and ideas were left, with sensation and 
 existence defined as identical. The further results followed 
 
 (1) that there is nothing with which to contrast sensations; 
 
 (2) that existents are X's, neither psychical nor physical; and 
 
 (3) that, if there were no X's, there would be no existents. Ex- 
 istents or facts are reduced, therefore, to the mere X's of the 
 present moment, or, if there is only one X, to this X, — whatever 
 it may be. Thus developed consistently, Positivism outdoes 
 
 "Hume, Treatise, Bk. I., Part IV., section v. 
 
 "Hume, Treatise, Bk. I., Part I., section vi; also Bk. I., Part III., in 
 a number of sections. 
 
 " Hume, Treatise, Bk. I., Part II., section vi.
 
 POSITIVISM 245 
 
 Solipsism, since, for Positivism, everything is not even my or 
 your ideas, — within my or your consciousness, but is only an 
 X, now, and not even past or future nor — consistently — even 
 present. 
 
 It becomes evident, then, that it is impossible consistently to 
 derive such a position from certain postulates; for the very 
 character of the position itself precludes any general proposi- 
 tion, and, therefore, any logical derivation. Indeed, even such 
 a formulatio7i of the position as has just been given is precluded, 
 since this formulation would, by the position's own intent, con- 
 cern only that which now is, but nothing more. 
 
 The character of this intent can be further made clear by 
 asking the Cartesian question : Of what am I most certain, my 
 conscious processes, or other '* things," my past conscious states, 
 or my present ones? If one give the answer "my present ones," 
 and calls these, not conscious processes, but X's, one has the 
 meaning of the philosophy of Positivism as this is carried to 
 the extreme of its consistent logical (?) outcome. But it is 
 clear that, if / ask this question, the answer refers to my X's, 
 and if you ask it, it refers to yours, with "I" and "you," 
 however, each a mere X. Still, if / ask it, and yet feel that you 
 also could do so, and get tlie same answer, then, am I not in 
 some way going beyond my X's to yours, and am I not dealing 
 with concrete "things" by generic methods, and ascribing 
 validity and f actuality to what is thus dealt with? Many 
 "things" may be identical with my X's, or sensations, but if / 
 endeavor to convince you, that what holds of me also holds of 
 you, then am I not presupposing that the existence of your X's 
 is not identical with that of mine? And am I not also presup- 
 posing, that not only that which is concretely experienced, but 
 also that whatever can be treated generically is fact as well? 
 
 There seems to be no other answer to these questions than 
 "yes." Positivism at a certain point begins to break down. 
 By its own intent it would preclude even its own formulation. 
 But it is formulated, and offered for acceptance. I, if I am a 
 Positivist, offer the doctrine to you. Therefore I assume your 
 X's not to be mine, and also formulate the position in generic 
 terms. 
 
 However, that modern development of Positivism which has
 
 gi6 CAUSATION PHILOSOPHIES 
 
 been accepted by many philosophers and well-known scientists — 
 among them, Huxley and Mach — is not of the extreme form 
 that has just been depicted, but is one that allows of formula- 
 tion, of propositions, of inference, and the like. Such a Posi- 
 tivism may be stated and developed logically from the following 
 assumptions : — '^^ 
 
 I. There are numerically distinct personalities, each consist- 
 ing of a succession of occurrences usually called sensations and 
 ideas, or experiences, but better called undefined and inde- 
 terminate elements or X's. For each personality these elements 
 are direct facts, certain and undeniable. 
 
 II. These elements occur or happen in conformity with a 
 certain demerit called order, and of order there are different 
 instances, such as those which are usually called the relations 
 (1) of cause and effect, (2) of implication, (3) of similarity 
 and difference, (4) of reference to the past and future, (5) of 
 inherence, and (6) of "belonging to." These "elements" occur 
 in the midst of other "elements," and organize and relate these. 
 Thus, e.g., "similarity" relates many "elements" called "heat," 
 and also many called "candles," and "inherence" connects 
 "solidity" with "candle"; in turn, "cause and effect" relates 
 "heat" to "candle" and "melting"; while "similarity" con- 
 nects other things with "candle" and "melting," with reference 
 to past, present, and future; and finally "similarity" connects 
 that series of elements which is "me" with that numerically dis- 
 tinct series which is "you." Thus, out of certain elements, there 
 is organized, hy other elements, that which we usually call the 
 world of qualitatively distinct "things," such as tables and 
 pens, and kinds of "things" such as plant and aniinal, and very 
 different kinds such as mind and matter. But the organization 
 in each case is merely one that itself happens when certain ele- 
 ments occur around, as it were, certain other elements as organ- 
 izing centers. All is really mere fact, coming higgledy-piggledy, 
 here cause, but there none, here similarity, but there difference, 
 now belonging to a "you," and then to a "me." 
 
 The final result, however, is not different from the world of 
 common sense and science, since everything is called by its usual 
 name, although all names are really only designations of "ele- 
 
 " Mach, Analysis of Sensations, pp. 10, 11, 12, 14, 17, 19, and 151 ff.
 
 POSITIVISM 247 
 
 ments," or of specific groups of elements. "Element" itself, 
 therefore, is either only an element, or a group, while "implies" 
 is still another "element," or group of "elements." But these 
 two "elements" are connected, so that we have the proposition, 
 that "element" implies that which is neither existent nor suh- 
 sistent, neither physical nor psychical, neither inorganic nor 
 organic, neither term nor relation. For the genus is never 
 identical with the species. Color is never this red nor this blue. 
 Therefore, if "element" is the summum genus it is not one of 
 those groups into which certain "elements" organize others. 
 Everything can be called "element," just as red, blue, green, 
 and yellow can be called colors, and different "things" can be 
 called different "elements," just as red and green can be called 
 different colors. But there is something in "things" over and 
 above the mere "element" aspect, just as a red is something 
 more than 7nere color, and this "something more" persists. 
 
 The chief difference made by Positivism concerns the problem, 
 therefore, as to what shall be selected as the summum genus of — 
 what shall we say? — "things," entities, or neutral entities — 
 for each of these is itself a summum genus. Materialism makes 
 this genus matter, Psychism makes it mind ; but each, therefore, 
 makes it like one of the S2:)ecies, so that, if Materialism were true, 
 there would be two kinds of matter, one called mind, the other, 
 matter; while, if Psychism were true, there would be two kinds 
 of consciousness. 
 
 Positivism, in Hume, Mill, Comte, Spencer, Mach, James, 
 and Bergson, really makes this summum genus "element," and 
 thus avoids identifying the genus with the species. Sensation, 
 and the psychical in general, not only are non-material, or, 
 perhaps, non-physical, but, with nothing to he opposed to them, 
 are also non-psychical "elements" or X's. Yet, starting with 
 a plurality of X's, Positivism must reinstate much of that which 
 it has previously ruled out. Physical things and human per- 
 sonalities that know physical things reappear in some form, 
 though they be but different collocations of (similar) elements. 
 But there may be as much difference between two such colloca- 
 tions as there is between the material rose that "by any other 
 name would smell as sweet," and the spiritual hope "that 
 springs eternal in the human breast."
 
 248 CAUSATION PHILOSOPHIES 
 
 The material and psychical worlds reappear, therefore, m 
 Positivism. That is to be admitted as a point against the posi- 
 tion. Yet, in agreement with its contentions, it is also to be 
 admitted, that neither things nor personalities are what much 
 traditional philosophy, science, and religion have made them. 
 Indeed, the real intent of Positivism is to protest against those 
 traditional views that put a core of material substance into 
 physical things, and a core of spiritual substance into person- 
 alities. "Things" and personalities are, for Positivism, groups 
 of "elements," either those which physiology and psychology 
 study, or those with which the physical sciences are concerned. 
 These "elements" are not related additively, but are organized 
 by some of the many non-additive relations of the types that 
 have been considered. The wholes that result may therefore 
 have qualities that are radically different from those of the 
 parts. 
 
 Only of such "elements" and relations, qualities and wholes, 
 have we positive knowledge. There may be a core-like substance 
 in "things," in personalities, and perhaps in the whole uni- 
 verse, but of such a substance we have no knowledge. Yet 
 around the traditional assumption of such a substance there 
 center many beliefs, superstitions, and great historical human 
 errors, — errors that have a practical outcome, undeniably, but 
 that are nevertheless regarded by Positivism as detrimental, 
 since it emphasizes the identity of the progress of the human 
 race with the throwing off of all that is not certain, and with 
 the acceptance of only that which is undeniable fact. 
 
 This indicates how Positivism solves the great majority of 
 philosophical problems. It puts them into the limbo of the 
 uncertain, the unknown, and even the unknowable, or regards 
 them as false problems. Indeed, for Positivism, philosophy is 
 itself not positive knowledge — except that particular philosophy 
 which is identical with Positivism's own cpistcmology, and that 
 ontology on which this epistemology rests. 
 
 Positivism's epistemology rests logically (though not his- 
 torically) on an ontology that is assumed, and not proved, 
 namely, on an ontology that is monistic in its postulation of 
 mere "elements" which, as such, are all qualitatively alike, but 
 that is pluralistic in its results, since it is compelled to grant that
 
 POSITIVISM 249 
 
 there are not only many nmnerically distinct ''elements," but 
 also many qualitatively different collocations of these "ele- 
 ments. ' ' 
 
 Positivism's cosmology is that of critical natural science. This 
 means, among other things, that the "idea" of a universal regu- 
 larity, uniformity, and following-of-law is mere hypothesis, and 
 not certain knowledge. Events do seem, indeed, in some cases 
 at least, to occur with a certain uniformity and regularity, and 
 the experience of repeated i-equences of specific events undoubt- 
 edly does give rise to the belief in causes. Given the same 
 cause, under the same conditions, and the same effect does seem 
 to occur. From this we generalize, passing beyond the imme- 
 diately given facts to the hypothesis of the unequivocalness of 
 the connection of specific causes, conditions, and effects. In this 
 way, both as individuals and as a race, we come to believe in 
 the principle of the uniformity of nature so strongly, that, per- 
 haps, we cannot conceive the opposite to he a fact, and that 
 the principle of the unequivocal connection of cause and effect 
 is regarded even as a law of thought. 
 
 But Positivism is critical. It warns us not to go beyond the 
 facts. We should not let the expectation that is generated by 
 past causal regularities deceive us into accepting the past as 
 the guarantor of the future. The past may be one thing, but 
 the future quite another. Only by waiting can one tell. 
 
 Positivism is thus indeterministic and tychistic. There may 
 be determinism, but, if there is, it is limited, for there certainly 
 is indeterminism. There are events that are not causally con- 
 nected. There is no universal and unequivocal causal connec- 
 tion or world order. Indeed, there may he no causes and no 
 effects. " Things'' may just happen. 
 
 Little opportunity is there in Positivism, therefore, for pur- 
 pose or even for a single direction of all things in the universe. 
 Positivism, then, has no teleology. You and I may have pur- 
 poses, and may plan and build. But in the universe there is 
 no guaranty of order, much less of universal order and purpose. 
 At least there is no positive knowledge of these. Indeed, the 
 universe is not even a machine, beautifully and delicately ad- 
 justed; neither is there God, nor underlyiug unity, as matters 
 of certain knowledge. In fact, ivith chaos as much a fact as
 
 250 CAUSATION PHILOSOPHIES 
 
 cosmos, and with cosmos at best only here and there in the midst 
 of chaos, the opportunity is small for plan, for order, for unity, 
 for a working toward ends, and even much smaller for a pur- 
 poser, an architect, a designer, or a mechanician. It is thus 
 that Positivism deals with theology and the great religious be- 
 liefs of mankind. It relegates them to the scrap-heap of super- 
 stitions, together with other cherished beliefs and theories that 
 are dear to common sense, religion, science, and philosophy. 
 
 With the teleological and theological problems thus dismissed, 
 certain aspects of the value problem do not present themselves 
 to Positivism at all. Ethics and assthetics, so far as they are 
 based on undeniably immediate experiences of course remain. 
 But in these fields the solution of problems is only that which 
 is to be expected. (For Positivism the so-called abstract and 
 general is always resolvable into concrete fact. \ Therefore ivhat 
 one ought to do is traceable back to what men have done. 
 
 For Positivism, races, nations, and sects are facts in the sense 
 that there are many human personalities who are 7nade up in 
 part of similar ideas, motives, and aspirations. In this sense 
 society, as a group of individuals, may demand that one ought, 
 first of all, to act out of regard for general welfare. Positivism 
 accepts this demand as a fact, and accordingly becomes Utili- 
 tarianism. But it also allows one so to act as to contribute to 
 one's own pleasure, or to reach as perfect development as possi- 
 ble, provided this does not, in either case, interfere with the 
 general welfare. Positivism thus, also, is hedonistic and per- 
 fectionistic. Likewise, in art, one cannot say that one "school" 
 is correct, another incorrect, by reference to a standard, — since, 
 for Positivism, there are many standards. Each standard in 
 its own setting is correct, and no standard can be forced upon 
 him who will not acknowledge it. In fact, as regards all values, 
 all standards in ethics and art, Positivism closely approaches 
 both Naturalism and Pragmatism, into which, as we shall shortly 
 see, it is very easily transformed. 
 
 The solution which Positivism gives to the psychological and 
 epistemological problems has already been presented at length, 
 so that only a few more details need be mentioned. For Posi- 
 tivism there is no soul or spirit, single, simple, and numerically 
 one. There are only conscious ''happenings." Some of these,
 
 POSITIVISM 251 
 
 called memory-images, refer to previous conscious happenings, 
 and thus organized, conscious "happenings" become person- 
 alities. But even so, these "happenings" are conscious only by 
 virtue of being in a certain specific group. By themselves they 
 are only "elements," and in another group they would be 
 physical. Thus it is only a difference in the grouping that dis^ 
 tinguishes the physical and the psychical. 
 
 Truth, for Positivism, very evidently cannot be defined in 
 the traditional way, namely, that true knowledge copies reality. 
 Rather, for Positivism, both truth and fact are made by know- 
 ing. Indeed it is here, even as it is with the difference between 
 the physical and the psychical, only a question of a difference in 
 the grouping. An "element" in one collocation (of elements) 
 is "impression" or "idea"; in another, it is physical fact; and 
 in still another it is truth. All knowledge is held to have its 
 origin in impressions, — when it is forgotten that these ulti- 
 mately are only indeterminate "elements." This is Sensation- 
 alism. Further, there is no absolute standard by which true 
 knowledge can be determined. Fact is fact, and, if one experi- 
 ences it, no one can say him nay. Thus does Positivism ap- 
 proach Radical Empiricism and Pragmatism, and thus is it 
 anti-adsolutistic. But it is also intellectualistic. It holds that 
 things must be accepted as they are found, and this means, e.g., 
 that not only the motion which is immediately experienced as 
 a whole, hut also the parts into which intellectual analysis re- 
 solves motion, are facts. Yet Positivism excludes, or tends to 
 exclude, from the realm of fact that which is given immedi- 
 ately, e.g., in the religious consciousness, but it may be doubted 
 whether or not, by its own premises, Positivism is justified in 
 doing this. However, such an exclusion it nevertheless makes, 
 at the same time that it prefers and uses intellectual analysis. 
 In this respect, therefore, Positivism is frankly intellectualistic. 
 
 II. CRITICISM 
 
 The criticisms that can be made of Positivism are closely 
 similar to those that already have been made of both Phe- 
 nomenalism and Subjectivism. At certain points Positivism 
 shows striking inconsistencies and self-contradictions. 
 
 First, the positivist who contends for his position, offering
 
 252 CAUSATION PHILOSOPHIES 
 
 arguments for it, and presenting it as a true philosophy, espe- 
 cially with reference to the problem of knowledge, tacitly pre- 
 supposes that he is portraying a state of affairs which, though 
 it is related to his own knowing, is neither dependent on nor 
 constituted by this. In this case, therefore, knowing and the 
 known are not identical, and are not to be called mere "ele- 
 ments," with these elements becoming knowing or object accord- 
 ing as they are in one group or another. Kather, it is here 
 presupposed, that there is at least an absolute numerical dis- 
 tinctness between the knowing and the known, so that, were the 
 former done away with, the latter would still persist as unal- 
 tered fact. 
 
 But, secondly, such a numerical distinctness between entities 
 is also presupposed in the detailed theory of Positivism. It 
 may be, that color and my sensation of color are identical, so 
 that it is justified to call color a mere "element," which is 
 neither physical nor psychical. But if I, playing the role of 
 a positivist, set up the claim really to know about your sensa- 
 tions, ideas, experiences, or "elements," then, although my 
 knowing and yours may be like in kind, I presuppose that they 
 are numerically distinct. They are presupposed to be so dis- 
 tinct, in fact, that, were my knowing no longer occurring, yours 
 still would be, even as I have described it in my presumably 
 true positivistic theory. Here is something, therefore, namely, 
 your experiences, which / presuppose not to be shifting as "ele- 
 ments" from one group to another, but to be fixed in that 
 collocation which is you. In these two cases the ego-centric 
 predicament is solved by the principle of ideal elimination, and 
 the theory of external relations is presupposed as valid for the 
 knowing situation. 
 
 But further, if entities, or groups of "elements," can, as in 
 these instances, be related, and yet be numerically distinct and 
 independent, then other entities, both simple and complex, also 
 may be, even such entities as sensation and physical qualities. 
 Thus, by this principle, an entity, e.g., the brown of my pen- 
 holder, does not cease either to be a physical brown or to be 
 distinct from the sensation of it, because I now sense it. Rather, 
 there is a specific brown, or, if one prefer, an A', that is physical. 
 It is in a group of other physical qualities to which it is related.
 
 POSITIVISM 253 
 
 The complex of these qualities is the penholder. But now, under 
 certain conditions, this specific brown can get into still other 
 relations, without losing the relations to the other qualities. It 
 can, e.g., get into relation with an organism and to the knowing 
 of or by an organism, and yet be quite as distinct from and 
 independent of this knowing, as my knowing is (presupposed 
 to be) independent of your sensations and the like, when I, as 
 the positivist, advance my theory as a true account of your and 
 others' knowing. But if this is the case, then the main conten- 
 tion of Positivism must be given up, even as must that of 
 Subjectivism. 
 
 Both Positivism and Subjectivism presuppose, therefore, as 
 the very condition of their being advanced as true theories, that 
 an entity can, without detriment to itself in any way, first be 
 out of relation to a knowing, then enter into a relation 
 with a knowing, and again lose this relation. This pre- 
 supposition is made by the subjectivist concerning the rela- 
 tion between, on the one hand, spirits and their ideas, and, on 
 the other hand, his knowing about spirits. It is made by the 
 positivist concerning the relation between those "elements," 
 impressions, or ideas which are you, and his ideas or "elements" 
 that "refer to you." 
 
 Consistency demands, then, that the same presupposition be 
 recognized and accepted for the knowing of other "things." 
 This means (1) that in the knowing situation there is a numerical 
 distinctness betw^een the knowing and the "thing" known; (2) 
 that, although these two distinct entities may be similar in cer- 
 tain respects, they may also be dissimilar in others; (3) that 
 Subjectivism may be forced to admit physical qualities to be 
 both qualitatively and numerically distinct from the knowing; 
 (4) that Positivism is compelled to acknowledge that, although 
 sensation and physical quality are called "elements," they not 
 only are numerically distinct, but also are different ki7ids of 
 "elements," even quite as diiferent as common sense usually 
 regards them to be; and finally, (5) that both Subjectivism 
 and Positivism must give up their common doctrine that only 
 the concrete is known; for, if both subjectivist and positivist 
 can know the general state of affairs about knowing, and its rela- 
 tion to objects known, then, with the knowing in this case con-
 
 254 CAUSATION PHILOSOPHIES 
 
 Crete, but the ''thing" known general, it is presupposed, not 
 only that the concrete, but also that the general and abstract is 
 knowahle, and is distinct from the knowing; and also, that 
 there are not only concrete facts, but also general ones. For 
 example, length is as much a fact as are long things, and neither 
 is numerically identical with the knoiving of them, or with the 
 ivord for them, although each is identical with the content of 
 knowing, when each is known. 
 
 But to be forced to yield this much, is, for both Subjectivism 
 and Positivism, suicidal. Yielding what each is forced to in the 
 instances just considered, Subjectivism and Positivism refute 
 themselves. The subjectivist cannot consistently apply his own 
 theory to that situation which is the complex of his own knowing 
 and the state of affairs which he knows, and still retain his Sub- 
 jectivism, nor can the positivist do any better. Neither can 
 build his own particular philosophic house upon the sands of 
 his own detailed doctrines. 
 
 The particular situation, therefore, in which, for both the sub- 
 jectivist and the positivist, there is a knowing of those states of 
 affairs which are presented in their own (supposedly true) 
 theories, is an instance of the validity of the theory of external 
 relations. They are both bound to presuppose the validity of 
 this theory in this connection, and, therefore, in order to be 
 consistent, for the knowing situation in general. And yet, with 
 few exceptions, they reject this theory of relations for other 
 cases of knowing. Thus, e.g., the subjectivist applies tlie modifi- 
 cation theory of relations to the relation between finite spirits 
 and the infinite spirit, making the latter act causally on the 
 former so as to produce effects called ideas. And the positivist 
 applies the same theory to his doctrine, that an "element," X, 
 changes its character with its change of membership in colloca- 
 tions, this change being due to the influence of the other elements 
 of the complex. Both subjectivist and positivist, furthermore, 
 in advancing their theories as holding good for the knowing 
 situation in general, present a general state of affairs, and so 
 contradict their other explicit statements, that only the par- 
 ticular and the concrete is fact and that only such fact can be 
 known. 
 
 Consistency would seem to demand, therefore, that, in con-
 
 POSITIVISM 255 
 
 structing a philosophical position, candid recognition be made 
 of the two principles which our criticism brings out. The first 
 of these is, that some terms can gain and lose certain relations 
 to other terms without being changed or affected thereby. One 
 such relation would seem to be the knowing relation, so that it 
 may well be, that all terms or 'things" can gain or lose this 
 relation, without being affected thereby. The second principle 
 is, that among the terms that can be known, and that are both 
 numerically distinct from and independent of the knowing, are 
 general and abstract terms. These are as objective as are par- 
 ticular, concrete things. This position is, historically, first ad- 
 vanced clearly by Plato in his doctrine of the reality of uni- 
 versals, or of ideas ( iSitxi ), as he called them. Indeed, 
 Plato made universals even more real than concrete things, for 
 they are timeless, whereas concrete "things" appear, and, after 
 a time, perish. 
 
 Severe as some of these criticisms of Positivism may be, the 
 position has, nevertheless, many points of merit. Chief among 
 these is the fact, that it gets away from the domination of the 
 ''substance" concept, and emphasizes relations between what 
 may be called mere "elements." In doing this. Positivism is 
 in line with the most important developments in modern logic 
 and science. Modern science has made its advances and won its 
 victories by finding what happens and is done, rather than hy 
 finding, what "things" arc. Relations, events, and unattached 
 and disembodied qualities concern it more than do substance and 
 things. 
 
 The new logic, which forms a large part of the principles of 
 modern science, follows the same course. By breaking away 
 from the model of things ivith a core of substance in which 
 attributes inhere, and by distinguishing and emphasizing dif- 
 ferent types of relations between terms, this logic is able to 
 solve problems that, since they baffled the Aristotelian logic, 
 finally led to the discovery of the very narrow limitations of 
 this logic. For example, the old logic, if strictly adhered to, 
 cannot give an analysis of motion, or of change in general, that 
 is free from contradiction. But the new logic easily solves this 
 problem, as we have seen, by its discovery that series are ana- 
 lyzable into terms that are related in a non-additive way. Mo-
 
 256 CAUSATION PHILOSOPHIES 
 
 Hon is such a series, whether it be continuous, or discontinuous, 
 each term of the series being itself a complex of "an instant 
 related to a specific point in a one-one m^anner." 
 
 In the broad general manner just indicated all modern science 
 has become positivistic, and some of the results of such a posi- 
 tivism will be portrayed in a later section. They constitute the 
 contribution of a method that may be called The New Ration- 
 alism, the positive content of which is a philosophy that is called 
 the New Realism. Of this method and position it may be said, 
 at this point, that in them reason is accepted as being as certain 
 a revealer of fact as sensation. But the facts thus revealed are 
 not all of one kind. All are 7iot mere "elements," and nothing 
 more; neither are all psychical, nor all material. Rather, they 
 are of the 7nost various kinds. For example, there are generic 
 facts or states of affairs, and there are concrete, particular facts 
 that are correlated with specific places and times. There are also 
 subsistents, which are timeless and spaceless, and there are 
 existents which are "in" time and space. Existents are of 
 two kinds, mental and physical, and among these there are as 
 many different kinds as such special sciences as physics, chem- 
 istry, physiology, and psychology discover. Also, among sub- 
 sistents there are both classes and individuals, and as many kinds 
 as such sciences as ethics, logic, mathematics, and aesthetics 
 recognize. 
 
 For the New Rationalism and the New Realism, then, the 
 verdict of the special sciences is to be accepted mostly at its 
 face value, though always with the condition, of course, that 
 the future may bring the discovery of errors and of new 
 facts. But, in general, all these kinds of facts receive no uni- 
 versal reinterpretation and transformation as they do when 
 they are made "phenomena" for Phenomenalism, "ideas" for 
 Subjectivism, "elements" for Positivism, matter for Material- 
 ism, and mere "racial inventions" for Pragmatism. Each of 
 these reinterpretations is found to be quite unjustified and 
 invalid, and the criticism which is thus developed is found to 
 lead to Rationalism and to Realism.
 
 NATURALISM 257 
 
 CHAPTER XXXII 
 NATURALISM 
 
 Positivism, under the widespread influence of the natural 
 sciences during the last century, developed into Naturalism as 
 that philosophy which contends that only that is fact which 
 conforms to the most general laws of a certain limited group of 
 sciences, namely, physics, chemistry, biology, and, perhaps, psy- 
 chology. Accordingly, one of the chief characteristics of Nat- 
 uralism, as it is worked out in detail, is, that the principles of 
 conservation and of evolution are used to apply in some manner 
 to everything. However, the position is, almost without excep- 
 tion, not only vague but also neglectful of many problems. 
 Indeed, very frequently, some of the most important philo- 
 sophical problems either are ruled out of court with a high hand, 
 or are not recognized at all because of sheer ignorance. Not- 
 withstanding this. Naturalism is more widely accepted among 
 philosophically-minded scientists than any other philosophy. 
 
 Naturalism is chiefly characterized by its insistence that all * 
 fact is either physical or mental, i.e., that all fact is existent.. 
 Inconsistently also with its own presuppositions Naturalism con- 
 tends that all fact is only concrete and particular, maintaining,' 
 in its explicit theory, that there is no such "thing" as a general 
 state of affairs even of a group of concrete "things." Also, , 
 there is no such "thing," for it, as a subsistent. Thus, e.g., it 1 
 contends that there is no such "thing" as a number that is not 
 the number of something, or a circle that is not the property 
 of a physical circular object. 
 
 With everything thus regarded as either physical or mental, 
 Naturalism is, nevertheless, frequently most vague and indefinite 
 in its treatment of the mental. The position tends to be dualistic 
 in its solution of this problem, but it is not clearly so. It 
 accepts the physical world at its face value, as this is presented 
 by astronomy, physics, chemistry, and other natural sciences. 
 For this realm it usually accepts the law of the conservation of 
 energy and of matter as the leading principle, while from the
 
 258 CAUSATION PHILOSOPHIES 
 
 biological sciences it gets the notion, that everything develops I 
 and evolves, with consciousness, perhaps, no exception to this, l 
 But just what consciousness is. Naturalism does not make clear, » 
 — indeed it does not seem to recognize that consciousness presents I 
 a serious problem. Sensations, memory images, ideas, and the 
 like, are spoken about and written of, but little attempt is made 
 to study these entities. Sometimes they are placed in clear con- 
 trast with physical entities by the negative characterization, that 
 they are non-spatial, weightless, and the like. And yet, hy the 
 argument, that conscious entities are sometJiing, and therefore 
 cannot come from nothing, nor yet from physical energy, so that 
 they can come only out of a preceding consciousness of some 
 kind, the principle of conservation is applied to them even as 
 it is to the physical world. The result is, that Naturalism 
 develops into a complete dualism of two energies, the one 
 physical and the other mental, with each "wherever" the other 
 is, like the inside and the outside of a sphere. 
 
 However, Naturalism does not always take even this fairly 
 definite position. Sometimes it quite neglects the problem as 
 to the nature of those processes that are called mental, and, 
 though it regards them as subject to the law of evolution, omits 
 to develop the consequences of this assumption. The tendency 
 thus manifested brings Naturalism to the verge of Materialism — 
 to the position, namely, that all fact without exception is of the 
 nature of physical or material "things" — either matter, or 
 energy, or, as the more sophisticated physicists of the day would 
 claim, electricity. 
 
 As examples of problems that Naturalism quite overlooks, 
 or is ignorant of, one may cite the questions that concern the 
 nature of space, time, and number. Naturalism either sees 
 no problems regarding these entities, or, if it sees problems, 
 solves them dogmatically and with the maximum of vagueness 
 and inaccuracy by regarding space, time, and number as attri- 
 hutes of physical 'things," claiming that, did the latter not 
 exist, then were the former in no sense fact. In this respect 
 Naturalism departs widely from the conclusions of science, if 
 science includes not alone physics, chemistry, biology, and the 
 like, but also geometry and pure mathematics. 
 
 Naturalism, as has been said, has an historical and, to a
 
 NATURALISM 250 
 
 certain extent, a logical development out of Positivism. Posi- 
 tivism was first definitely presented by Hume, but has been 
 maintained very recently by such writers as Mach. If, now, we 
 take the "elements" of Positivism and make definite entities 
 of these, after the manner of the natural sciences in their insist- 
 ence upon the different kinds of atoms, molecules, cells, etc., 
 and if we then further insist, that all 'things" causally interact 
 and evolve, we have Naturalism. 
 
 Thus, from the standpoint of modern logic, Naturalism is 
 derived by assuming the modification theory of relations to hold 
 good for everything without exception. Naturalism makes this 
 assumption in its dogmatic insistence that all "things," even 
 space, time, and numbers causally affect one another, thereby 
 producing some "things," and eliminating others. This means, 
 that, from the standpoint of natural science, everything is either 
 adapted to or eliminated by its environment, and that some 
 scheme of evolution, Darwinian, Lamarckian, de Vriesian, or 
 Bergsonian, is always incorporated in Naturalism.^ 
 
 On this general naturalistic foundation, five more detailed \ 
 positions are developed. These are (1) Naturalism in its more 
 detailed form, (2) Materialism, (3) Psychism, (4) Dualism or ( 
 Parallelism, and finally, (5) Pragmatism. Accordingly, each 
 of these positions is naturalistic. 
 
 I. DETAILED NATURALISM ^ 
 
 Detailed Naturalism merely develops this general naturalistic 
 foundation by incorporating within itself all the natural 
 sciences, especially Astronomy, Geology, Mechanics, Physics, 
 
 'Among the philosophers who maintain this generic naturalism are: 
 J. S. Mill, op. cit.; Huxley in his Evolution and Other Essays, and Brooks 
 in The Foundations of Zoology. It is the position that is also taken by 
 most biologists, especially by those who are of the mechanistic, and not 
 of the vitalistic school. Philosophers who are naturalistic, are, e.g., 
 Helvetius, Condorcet. Montesquieu. Cf. Lange, History of Materialism, 
 3 vols., translation by Thomas, 1892. 
 
 ''Herbert Spencer (1820-1903) is the great exponent of this detailed 
 naturalism. Spencer's leading concept is evolution, and this he applies 
 to almost everything, including consciousness in all its aspects. Yet 
 Spencer is not a parallelist, as are many biologists and psychologists, nor 
 is he a materialist or a psychist (see the discussion following). Spencer's 
 works that show this detailed naturalism arc: Principles of Psychology, 
 1855; First Principles, 1860-62; Principles of Biology, 186-4-67; Principles 
 of Ethics, 1879-93; Principles of Sociology, 1876-96.
 
 260 CAUSATION PHILOSOPHIES 
 
 Chemistry, Biology, and Psychology. It results that such human 
 ''institutions" as the family, government and law, language, 
 religion, art and literature, and even science itself, are inter- 
 preted in strict conformity with the evolution of living forms, 
 while the cosmic evolution of suns and of planets, of atoms 
 and of chemical compounds, is accepted quite uncritically. 
 Thus it is, that the ontology, cosmology, teleology, and 
 ethics of Naturalism are essentially those of the natural 
 sciences. Such sciences as Mathematics are either ignored 
 completely, or are transformed into applied sciences in every 
 instance. 
 
 Toward all theology Naturalism takes a skeptical, or at least 
 an agnostic position. For, with its emphasis upon the senses 
 as the only revealers of fact. Naturalism finds little evidence of 
 a God of any kind — not even as an objective entity that is 
 identical with an effective worth- and value-principle in the 
 general make-up of the universe. Since God cannot be seen or 
 touched or heard, and the like, Naturalism concludes that there 
 is no God, or at least holds its judgment in suspense. And 
 toward such worths and values as it does accept, Naturalism 
 takes the position of a thorough-going Evolutionism. Good- 
 ness and beauty, right and wrong are in each case what they 
 are, only because they have evolved and survived. 
 
 It is toward truth alone that this detailed yet uncritical Nat- 
 uralism takes an absolutistic, as opposed to a relativistic and 
 evolutionistic position. For, although the results of the em- 
 pirical, natural sciences are allowed always to be open to 
 revision, and to be, in this sense, tentative, nevertheless Nat- 
 uralism holds that there is nothing in the knowing situation \ 
 to prevent our getting at facts essentially as they are, and that, '. 
 if facts are thus known, there is truth. For Naturalism, there- 
 fore, knowing is 7iot constitutive, as it is in Phenomenalism; 
 nor are all facts psychical in nature, as in Subjectivism; nor 
 are they mere ''elements," as in Positivism. Rather, facts are 
 held to be what they are found to be in the natural sciences, 
 and it is ahso maintained that facts would be quite unaltered, 
 should all knowing disappear. Naturalism thus accepts the 
 theory that there is an absolute truth to be attained, and that 
 true knowledge is a sort of copy of fact.
 
 NATURALISM 261 
 
 However, in this respect Naturalism is inconsistent with its 
 ov/n explicit doctrine, that everything causally interacts with 
 other things, evolves, and is an adaptation. For, if this ''causal 
 doctrine" be of universal validity, then, of course, knowing 
 must also causally interact with that which is known, and, there- 
 fore, hotJi modify, and he modified. The consistent development 
 of this universal "causal" doctrine therefore leads to Phe- 
 nomenalism, so that, not to accept this conclusion, is to gloss 
 over a glaring inconsistency and contradiction that invalidates 
 the main naturalistic contention. 
 
 While in its explicit epistemology, therefore, detailed Nat- 
 uralism aligns itself, though somewhat confusedly, with the 
 traditional "copy-theory" of truth, it does this at the cost of 
 being inconsistent with its own basic doctrines of a universal 
 interaction, evolution, and adaptation. The only excuse for its 
 committing this inconsistency, and yet for not noticing it, is, 
 that the adherents of Naturalism are carried off their feet by 
 the methods and results of the natural sciences, and are not 
 aware either of those delicate questions which are involved in 
 the problem of knowledge, or of the precise logical principles 
 whether of the old or of the new logic. 
 
 Toward the psychological problem detailed Naturalism main- 
 tains the negative attitude of ignoring the issue. It rests con- 
 tent with the vague and uncritical view, that cognitive, emo- 
 tional, and volitional processes lack such characteristics as ex- 
 tension and weight, and is satisfied to use the mere names "per- 
 cept," "idea," "concept," emotion," etc., without further 
 inquiry, merely insisting that the entities denoted by these 
 names are "natural things" — whatever that term may mean — 
 and are, therefore, subject to all those main principles, such as 
 evolution, to which other "natural things" are subject. How- 
 ever, Naturalism does not develop the consequences of this posi- 
 tion, but leaves this to other naturalistic philosophies, such as. 
 Materialism, Psychism, Parallelism, and Pragmatism. Natural- 
 ism, like Positivism, also gives up the doctrine of an ego, or a 
 soul, but offers no substitute for these, other than what it 
 vaguely calls ideas, percepts, and the like. But what these 
 entities are, or what consciousness is. Naturalism leaves largely 
 undetermined.
 
 262 CAUSATION PHILOSOPHIES 
 
 n. MATERIALISM, DUALISM, AND PSYCHISM : 
 MATERIALISM ® 
 
 These three positions have the advantage over Naturalism, 
 that they are the results of recognizing the problem of con- 
 sciousness, and of attempting to solve it. All three positions 
 are naturalistic, yet each is a definite and distinct doctrine. 
 
 In regard to the other philosophical problems these positions 
 accept essentially the same solutions as does Naturalism. Thus 
 their explicit epistemology, ethics, esthetics, theology, teleology, 
 cosmology, and ontology are essentially those of that theory. 
 For each the specific position, in each of these several branches, 
 is one that is derived somewhat uncritically and vaguely by 
 putting together into one doctrine the results of the natural 
 sciences. Thus, in each, evolution plays a leading role ; in each 
 it is contended that everything interacts, evolves, and adapts. 
 For each, also, there is a conservation of "something" — 
 something that, in its total quantity, is neither increased 
 nor decreased, neither created nor destroyed, and that in 
 the midst of change, only alters, or seems to alter, its form or 
 qualities. 
 
 For modern Materialism this "something" that underlies 
 everything else, and that both evolves and changes, and yet is 
 conserved, is physical energy. Accordingly, consciousness is 
 regarded as only a special kind of this energy, analogous to 
 electrical or kinetic or potential energy, or else it is regarded 
 as a factor of some specific physical energy, even as electrical 
 potential or intensity is an aspect or factor of electrical energy. 
 Percepts, ideas, emotions, and the like, thus become physical 
 facts that interact with other physical facts, and that are brought 
 into existence, in agreement with the principle of evolution, by 
 
 ' Materialism has appeared many times in the history of philosophy. 
 Among the ancients Leucippus, Domoeritns, and Lueretiiis were material- 
 ists. In the seventeenth century Thomas Hobbes ( L'iSS-lfi?!)) , and, in the 
 eighteenth, Condillac, d'Holbach, Jjamettrie, and Diderot were adherents of 
 the position. In the nineteenth century, in Germany, Biichner, Kraft iind 
 moff, 1st ed., 185.5, Moleschott, Karl Vogt, and later, Haeckel, The Riddle 
 of the Universe, trans, by McCalje, have been widely read, and have been 
 of much influence. In recent years Ostwald. Naturphilosophie. 1902, trans, 
 by Seltzer, and J. Loeb, Physiology of the Brain an^ the Mechanistic Con- 
 ception of Life, are supporters of this position.
 
 NATURALISM 26S 
 
 a transformation out of some other kind of physical energy, 
 or factor thereof. When the specific conditions for this 
 transformation first occurred in the evolution of life on this 
 planet, then some specific instance of some specific kind of 
 consciousness first arose. Also, when similar specific conditions 
 occur in any individual, as e.g., in the transition from dreamless 
 sleep to wakening, then again some specific energy-transforma- 
 tion occurs. 
 
 Only in its ontology, then, does Materialism differ from Nat- 
 uralism, for, while the latter position maintains insistently, 
 though vaguely, that there is a fundamental difference between 
 mind and matter. Materialism, using evidence from such sciences 
 as geology, biology, and physiology, concludes that consciousness 
 is only matter or energy. For it there is no more difference 
 between mind and matter than there is between heat and 
 electricity. 
 
 One characteristic of Materialism, however, that is usually 
 overlooked, even by the materialist himself, is that, consistently 
 with its own main explicit principles, it is a thorough-going 
 phenomenalistic philosophy. This is the case, notwithstanding 
 the fact, that the materialist, like all other philosophers, tacitly 
 grants, in presenting his position for others to accept, that his 
 own knowing does not causally affect the state of affairs of which 
 his materialistic philosophy is an account, and that those know- 
 ing processes in which he and others know concrete physical 
 facts, do not affect or constitute these fact^ Nevertheless, by 
 the foundation principles of Materialism, namely, that all so- 
 called conscious processes are really physical, and that all 
 physical ''things" causally interact and affect one another, it is 
 implied that every specific knowing process must affect, modify, 
 and alter the thing knoivn. This position, however, is none 
 other than Phenomenalism. But this consequence of the ex- 
 plicit teachings of Materialism is in direct contradiction with 
 that tacit presupposition which the materialist makes with refer- 
 ence to the relation between his own knowing processes and the 
 "things" known. For, when the materialist accepts the results 
 of the natural sciences to incorporate them in his Materialism, 
 he tacitly assumes that all knowing could be eliminated and yet 
 material (known) entities be quite unaffected thereby.
 
 264 CAUSATION PHILOSOPHIES 
 
 m. UNIVERSAL DUALISM OR PARALLELISM* 
 
 The main contention of this position is, that that "some- 
 thing" which underlies all evolution and yet is conserved in 
 quantity, is not physical energy alone, but also psychical energy. 
 The tacit or explicit postulates or assumptions from which this 
 '^ psycho-physical parallelism" is derived may be stated as 
 follows : — 
 
 I. Introspection is reliable and valid, i.e., its deliverances 
 •with reference to the nature of consciousness are to be accepted. 
 This means that consciousness is revealed as fundamentally and 
 essentially different from physical ''things"; i.e., the former 
 is given as at least lacking certain characteristics that the 
 latter have, particularly the characteristics of extension and 
 mass. 
 
 II. All physical "things" are subject to the principle of the 
 conservation of energy, in accordance with which, in all change, 
 there is as much energy in the effect as in the cause. Energy 
 is only transformed. No energy is lost either in specific iso- 
 lated systems, or in the whole universe. In this respect the 
 physical universe is a closed series. 
 
 The conclusion that is derived from these premises is, that 
 consciousness can in no case, either in the development of the 
 individual or in its historical origin, come from physical energy, 
 since such a transformntion would mean, that some physical 
 energy disappears as energy, so that the principle of conserva- 
 tion would be violated. Consciousness is, therefore, left hanging 
 in the air, unless some way can be found to give it firmer sup- 
 port. This is accomplished by assuming that 
 
 III. In all change it is impossible that something should 
 come from nothing, and disappear into nothing. Ex nihilo 
 
 * This position was first given definite formulation by Descartes in 
 both his Discourse and his Meditations; the majority of contemporaneous 
 psychologists previous to the recent behavioristic school have taken this 
 position in their tcxt-liooks; J. R. Angell is a good e\anij>le. A good state- 
 ment of the position is given by G. K. Miiller, " Zur Psychophysik der 
 Gesichtsempfindung," Zcitsch. f. Psych., 1890 (cf. Mach, Analysis of Sensa- 
 tions, trans., pp. '2(i-40); by Ward, Naturalism avd Agnosticism, Lecture 
 Xll.; by James, Principles of Psycholocry, Vol. I., Chap. V.; by McDougall, 
 Body and Mind, Chaps. VII. -XV. ; by 11. R. Marshall, Consciousness, 1909. 
 The last mentioned volume well illustrates the position as it is formulated 
 and developed as a current philosophy, but as a philosophy, also, that 
 almost completely ignores really basic problems.
 
 NATURALISM 265 
 
 7iihil fit, nihil ad nihilimi fieri, the scholastics put it. But con- 
 scious processes are facts. They appear and disappear in the 
 individual, and they certainly appeared in the evolution of 
 living beings. 
 
 By all three premises together, now, the conclusion is implied, 
 that each conscious process comes from a preceding conscious- 
 ness, each quantum of consciousness from a preceding quantum; 
 in other words, that there is a conservation of consciousness 
 quite analogous to the conservation of physical energy. And 
 just as all physical energy is in a process of universal evolution, 
 cosmic and biological, so also has all evolution another aspect, 
 namely, the conscious aspect. Living organisms arose from 
 so-called non-living complexes of energies and forces, but in 
 reality not only were these earliest living forms conscious, but 
 so also were their components and predecessors. Physiological 
 processes of the nervous system, especially of the brain, seem to 
 be the condition for conscious processes. Really, however, the 
 latter are only parallel to the former. The constituents of the 
 nervous system change and are replaced by others in processes 
 of repair. Therefore these replacing constituents must have 
 their "conscious side" also. In general, then, wherever there 
 is matter or physical energy, there, also, is conscious energy. 
 Every cell, every molecule, every atom and electron is not only 
 physical, but also conscious. The whole universe is double and 
 twofold. It is physical, and it is conscious. There are tivo 
 energies, two conservations, and two evolutions. Neither energy 
 acts causally on the other, for such action would violate (1) the 
 postulate, derived from introspection, that each is funda- 
 mentally different from the other, and (2) that only physical 
 energy can produce and affect, and be produced and affected by, 
 physical energy. Accordingly, by these postulates, only like can 
 act on like, only like produce or be transformed into like, — 
 physical into physical, conscious into conscious — but no inter- 
 action between consciousness and physical energy is logically 
 possible. 
 
 This position has, in its general form, occupied a prominent 
 place in modern philosophy from the time of Descartes to the 
 present, but especially during the last thirty or forty years, — 
 the period of the development of experimental psychology —
 
 266 CAUSATION PHILOSOPHIES 
 
 when it has received much discussion under the name of 
 Psycho-physical Parallelism, 
 
 Modern psychology with its use of experiment, and of observa- 
 tion of others as well as of introspection, is emphatic in its 
 claim to be a natural and empirical science, so that this more 
 definite Naturalism has appealed to it. For Psycho-physical 
 Parallelism accepts the facts and results of the physical natural 
 sciences at their face value, adding to these the detailed facts 
 of and about consciousness. These, too, are held to be "nat- 
 ural" and to form the peculiar subject-matter of psychology. 
 Modern psychology, therefore, by adopting Parallelism, seems 
 to justify its claim to be a science that is on a par with the 
 physical sciences, and that at the same time fits into a definite 
 and consistent philosophical position. 
 
 The main characteristics of this position clearly form a solu- 
 tion to the ontological problem. For Parallelism, there are two 
 kinds of energy, — two kinds of "something" that is in each 
 case conserved. In its solution of the other philosophical prob- 
 lems the position follows closely the main outlines of Natural- 
 ism. Thus its cosmology and its doctrine of values are those 
 of the sum total of the physical sciences, including biology. 
 The position is, therefore, definitely evolutionistic. Every 
 physical object, indeed every part of every physical object, has, 
 however, a conscious side or aspect. This feature of the position 
 is sometimes taken advantage of, however, to introduce a definite 
 purpose fulness into all "things," and so into the whole course 
 of a universal evolution. Thus, to do this, one has only dog- 
 matically to insist, that the fundamental kind of consciousness 
 in all "things" is Will, in order subsequently to deduce a fore- 
 sight, a planning, a choosing, and an adapting of means to ends 
 in all "things." 
 
 It is clear, however, if one thus introduces a teleology, either 
 that the physical side of the universe does not pursue the same 
 course as it would pursue, if consciousness were not present, 
 but that it is influenced by the "conscious side," contrary to 
 the fundamental postulates of the position; or, that physical 
 occurrences do take place just as they would if no conscious side 
 were present. But in this second case the "conscious side" be- 
 comes quite superfluous, since, without consciousness, there
 
 NATURALISM 267 
 
 would be exactly the same course of events, past, present, and 
 future, as there would be with it. This would also be the case 
 if the "material side" were absent. Two lines parallel to each 
 other and pointing in a certain direction indicate that direction 
 no better than does one. The duplication is quite superfluous. 
 In quite a similar manner, if the universe were double in every 
 detail, and if all its events, both as a whole and as individuals, 
 have a certain direction, then, whether this direction be inter- 
 preted to mean purpose or its lack, it would still be the same 
 direction, were either one of the two "sides" done away with, 
 or were either absent. 
 
 This is a severe criticism of Parallelism. For it means that 
 the position, by endeavoring to introduce a teleology through 
 its "double energy" theory, either violates its own foundation 
 by introducing interaction, or accepts 07ie energy that is super- 
 fluous. This may be either physical energy or consciousness. 
 But the universe does not need both, if each parallels the other 
 in that way which is alone consistent with the foundations of 
 the parallelistic position. 
 
 From this criticism it is evident that in its epistemology 
 Parallelism avoids that very damaging inconsistency of which 
 Materialism is guilty in respect to the relation between the 
 knowing process and the object known. Materialism should 
 admit that these interact and so affect each other even as do 
 other physical processes and objects, but, inconsistently, it does 
 not admit this for any kind of knowing of any kind of object. 
 Parallelism, however, by its doctrine of the total absence of 
 interaction between any kind of knowing process and the 
 physical world, is not guilty of this inconsistency. At most, 
 between the physical and the mental there is a relation that 
 can be interpreted only as external. For each minutest differ- 
 ence in the one realm there is a corresponding difference in the 
 other, and yet each would be the same without as ivith the other. 
 Certain difficulties, however, arise in connection with this doc- 
 trine when it is applied. For example, it may be asked. What 
 are the specific correlates of those conscious processes of which 
 there is introspective knowledge? Are not these correlates 
 specific brain processes? But, in that case, is it not these proc- 
 esses that are known, and not outside objects? Yet, have not
 
 268 CAUSATION PHILOSOPHIES 
 
 "outside objects" their correlative conscious processes also? 
 But into these difficulties we need not go, since they are arti- 
 ficial, arising only as consequences of a position that itself does 
 not stand the test of criticism. 
 
 IV. PSYCHISM ; ^ CRITICISM OP NATURALISTIC THEORIES 
 
 That a specific type of Psychism develops out of Naturalism 
 is quite evident from the preceding discussion. Subjectivism, 
 with its doctrine that all so-called physical "things" are but 
 the collection of the percepts and ideas of individual spirits, 
 is one kind of Psychism, but it is one that retains the finite 
 ego or soul as a simple, indivisible substance, with God as an 
 infinite spirit. The Psychism that is derivable out of Natural- 
 ism, however, recognizes no irreducible and ultimate egos, souls, 
 spirits, or personalities, and only that kind of a God who is the 
 sum total of that consciousness, or conscious energy, which is 
 all, and which all ultimately is. This modern Psychism main- 
 tains, as its chief tenet, that ultimate reality is consciousness, 
 or conscious energy. 
 
 The possibility of this doctrine has already been indicated in 
 discussing Parallelism. // there are two substances or energies 
 in all "things," side by side in the evolution of the universe, 
 it is implied, that the course of events would be quite the same, 
 were either energy non-existent. With psychical energy absent, 
 all would be matter; were there no matter, then would only 
 conscious energy exist. 
 
 To develop such a possible position, let us assume that only 
 conscious energy exists, and then raise the question, How shall 
 what seem to be physical "things" be accounted for? The 
 answer given to this question is ingenious, though not con- 
 vincing, while it also meets with many difficulties when it is 
 applied to specific problems. The answer is, that the difference 
 between the (so-called) physical and the conscious is only one 
 of point of view, or of approach. Thus the appearance of one 
 consciousness to another, say, of yours to mine, is held to be 
 the physical, while a consciousness that appears to itself is the 
 mental. Accordingly, you can know me only as a physical body, 
 
 " This position is developed in C. A. Strong's Why the Mind has a Body, 
 1903; MaJebranche (1638-1715) was an earlier psychist of this type.
 
 NATURALISM 26d 
 
 but / know myself as conscious. One and the same entity, e.g., 
 my consciousness is, then, approached in two ways: known by 
 you, it appears, or is physical ; known by myself it is psychical. 
 
 This theory of a universal psychism, — of one psychical sub- 
 stance or energy, of which specific instances are individuals, or 
 human personalities, welling-up like the crests of waves upon 
 the deeper fundament of continuity, — is certainly plausible, 
 and, perhaps, inspiring. But it is open to the same criticism 
 as Materialism. Thus, if, as Materialism contends, conscious- 
 ness is matter or energy, and, therefore, is not what it seems to 
 introspection to be, the question may be asked in criticism, 
 whether there is not a form of matter or of energy that does 
 what consciousness is found empirically to do. Likewise, as con- 
 cerns Psychism, Avith its position that physical "things" are 
 ultimately not what they seem, but are really consciousness, it 
 may be asked, whether there is not a form of consciousness that 
 does what physical "things'' do, and whether there is not as 
 much difference between this kind and other kinds of conscious- 
 ness, as there is between ivhat in common sense and science are 
 distinguished as the physical and the conscious? The difference 
 that is introduced by "proving" in some w^ay, either that what 
 appears to be mental is really physical, or that what appears 
 to be physical is really conscious, is only one of name, provided 
 the character and behavior of "things" is ascertained em- 
 pirically and not artificially by an a priori argument. On the 
 other hand, if, by "making" the apparently physical really 
 psychical in character, something is introduced into the physical 
 world that is in conflict with empirically ascertained physical 
 principles, then one can no longer maintain the major premise 
 of Psychism, that the detailed results of empirical investigation 
 are to be accepted at their face value, and that the apparently 
 fundamental difference between the physical and the psychical 
 is due only to a difference in the point of view. 
 
 An analogous criticism can be made of Materialism. If by 
 "proving" and calling consciousness a kind of matter or energy, 
 no specific difference is introduced into the details of conscious 
 behavior and action, then nothing is gained, since nothing is 
 done by matter that is not done by consciousness, and con- 
 versely. On the other hand, if a specific difference is thus intro-
 
 270 CAUSATION PHILOSOPHIES 
 
 duced, then it should be a difference that can be confirmed 
 empirically, and then there is the possibility of discovering a 
 conflict between this new specific, "difference-making" element 
 and other empirically ascertainable differences, so that conscious- 
 ness can no longer be regarded as something that is to be studied 
 only by a priori methods, and not empirically, as regards its 
 details. 
 
 This criticism is much the same as that made of Parallelism, 
 namely, that, if the physical and the psychical are two energies 
 that are quite parallel and in a one-one correspondence in every 
 detail, then with reference to what "things" do, this double- 
 ness is quite superfluous. One or the other energy is a mere 
 epi-phenomenon. Do away with either, and the course of all 
 events would be the same. On the other hand, if the doubleness 
 does make a difference, it can do so provided only one energy 
 influences the other. But this means to give up Parallelism 
 and to accept Interactionism. 
 
 The fact is, however, that the three positions under discus- 
 sion are the products of the influence of the old Aristotelian 
 logic and philosophy, and represent the effect of the continued 
 domination of the concept of substance.^ That logic, we have 
 found, is a logic of things, — of attributes that inhere in an 
 underlying substratum. Also, it is a logic that is interested 
 in what "things" are, rather than in what they do. Accord- 
 ingly, it is a logic that is metaphysical in that derogatory mean- 
 ing of the term which is sometimes so extended by certain 
 scientists as to include all metaphj^sics and philosophy. This 
 meaning is derived to a large extent from that mediseval science 
 and philosophy vv^hieh sought to ascertain the essence rather 
 than the behavior of "things." The effects which "things" had, 
 were explained by their essence. For example, opium was held 
 to produce sleep, because it was a soporific siibstance. Certain 
 bodies fell, because they were essentially ponderable; others rose, 
 because they were essentially buoyant. Indeed, as late as the 
 eighteenth century, heat was held to be caloric substance. The 
 general result was, in all lines of so-called scientific investiga- 
 tion, that that which was sought for, was the recondite sub- 
 stratum, or essence of "things," even though this was "found" 
 in some instances by a circular definition.
 
 NATURALISM 271 
 
 Modern logic and scientific method are characterized by a 
 strong reaction against this entire ''substance point of view." 
 It is to be granted, of course, that in certain sciences, notably 
 in chemistry, search is made to find what "things" are, with 
 the result that a number of different elements and a great many 
 different compounds are discovered. But even in this case, what 
 these elements and compounds are, is largely identical with what 
 they do. Thus hydrogen is that substance which acts in such 
 a way on oxygen as to produce water and other compounds ; 
 it is also that substance which, under certain conditions, exerts 
 a certain definite pressure. So, also, certain modern mathe- 
 matical equations that describe electricity show what electricity 
 does, rather than what it is. These examples illustrate in gen- 
 eral the point of view, and the results of modern science. In 
 science little remains of the substance concept. 
 
 In philosophy, however, the influence of the concept of sub- 
 stance still persists. Indeed, most philosophical systems are 
 derived through the postulation and use of this concept in one 
 way or another. Phenomenalism and Subjectivism are two 
 such systems, and now there appear also Naturalism, Material- 
 ism, Parallelism, and Psychism as systems with a similar founda- 
 tion. Each of these asks, and answers the question, e.g., What 
 kind of a thing or substance is the universe? Each is content 
 to accept the detailed results of the natural sciences in answer 
 to the other question. What things do? but is not so content 
 with regard to this "larger" question. All four positions make 
 the universe, both as a whole and a part, evolve, but they differ 
 as to what kind of a "thing" an evolving universe is. Nat- 
 uralism "makes" one part of it physical energy, but remains 
 non-committal in regard to the other part. Materialism 
 "makes" the whole a purely physical complex or "thing," while 
 Psychism "makes" the whole ultimately conscious in character, 
 a sort of psychical thing, a huge world-soul, sometimes identi- 
 fying this with God. Both of these last two positions are 
 monistic ontologies, since ultimately, for them, there is only 
 one kind of substance, broken up though this may be into many 
 parts. On the other hand. Parallelism makes the universe two- 
 fold. It is dualistic. This dualism is overcome, and the equal 
 status of both the physical and the psychical is kept, only by
 
 272 CAUSATION PHILOSOPHIES 
 
 maintaining, in further accordance with the concept of thing, 
 that both are but aspects or attributes of one universal sub- 
 stratum, which is substance par excellence. This is Spinoza's 
 (1632-77) doctrine, which was revived, with certain modifica- 
 tions, in nineteenth century German Idealism, or Transcen- 
 dentalism. 
 
 Finally, in closing this discussion, we may point out that the 
 four philosophies under consideration are each completely real- 
 istic as regards that epistemology which is tacitly accepted by 
 each in advancing a specific doctrine as true. Not one of them 
 denies that it is possible for "things" to be known as they really 
 are. Not one of them is either founded on or itself develops 
 the position, that knowing affects, alters, or constitutes its 
 object. Accordingly, not one of them is either phenomenalistic 
 or subjectivistic as regards itself. Yet, as we have seen. Ma- 
 terialism should be phenomenalistic, in order to be consistent 
 with its doctrine of a universal interaction of all "things," but 
 it does not explicitly recognize this characteristic. Psychism 
 also should recognize itself as phenomenalistic, since, although 
 for it all "things" are psychical in nature, it contends that 
 there is a modification of psychical "things," so that they 
 appear to be physical under certain conditions. But Psychism, 
 like Materialism, does not develop this phenomenalism. Paral- 
 lelism alone, in its doctrine of the absence of interaction between 
 the physical and the psychical, and of the presence of only an 
 external relation between these in regard to their correlation 
 and correspondence, is consistent with the presupposition which 
 it itself makes in regard to the knowing of that state of affairs 
 u'hich, described by Parallelism, is the object known. But 
 Parallelism is also a position that presents a worthless and func- 
 tionless duplication of the universe. 
 
 All these theories, then, if we omit their inconsistencies, are 
 not opposed to Realism in their fundamental epistemology. 
 Eealism would be compatible with Psychism, with Materialism, 
 or with any other ontology, provided these positions could be 
 established empirically, and provided they could at the same 
 time give up the doctrine of universal causal interaction so far, 
 at least, as to make an exception for the relation between know- 
 ing and the object known. For it is onhi on this last condition
 
 PRAGMATISM 273 
 
 that any of these theories can be true, or that the complex 
 objects described in any of them can be genuinely known. 
 Finally, it is provided only that this condition is recognized 
 and observed, that any of these theories can, in its details, be 
 consistent with its own presuppositions. However, it is by 
 virtue of the contradiction between their own presuppositions 
 a7id their explicit doctrines, that Materialism and Psychism are 
 self -refuting, and may, therefore, be dismissed from further 
 serious consideration. 
 
 CHAPTER XXXIII 
 PRAGMATISM 
 
 Pragmatism is that more specific development of generic Nat- 
 uralism which endeavors to avoid some of the errors and incon- 
 sistencies that are implied in detailed Naturalism, Materialism, 
 Parallelism and Psychism. The name has been characterized by 
 William James as a new name for an old way of thinking. The 
 justification for this characterization lies, among other things, in 
 the endeavor of the pragmatist to glean the grain from the chaff 
 in the methods and results of modern scientific knowledge. In 
 other words. Pragmatism is that generalization, in regard to the 
 epistemological problem, which results from endeavoring to 
 distinguish wliat is essential to genuine knowing from what is 
 artificial and superfluous. As a result of this endeavor. Prag- 
 matism is made up of a number of doctrines, which may be 
 advantageously examined under three headings, namely, Prag- 
 matism's Anti-siih stance doctrine, Pragmatism's Anti-intellectu- 
 alism, and Pragmatism's Evolutionism. 
 
 I. pragmatism's anti-substance doctrine 
 
 Pragmatism's anti-substance doctrine is a protest against the 
 domination of the traditional substance concept.^ In making 
 this protest, Pragmatism aligns itself with Positivism.- Not 
 
 * See, e.g., James, Pragmatism, p. 85 flf., and p. 184 f. 
 ' See Chaps. XXXI.-XXXII.
 
 274 CAUSATION PHILOSOPHIES 
 
 what "tilings" are, but what happens, what is done, what worTcs, 
 is regarded as the important question; not essences, but acts 
 and occurrences, should be the aim of scientific discovery. 
 Pragmatism thus senses the true tendency of modern scientific 
 research. It replaces a statical with a dynamical point of view, 
 and aims, with Positivism, to discover what specific relationships 
 hold between terms, rather than to find their substance-like 
 character or essence. It thus conforms to the method of much 
 of modern exact science in which laws are expressed by equa- 
 tions that symbolize relationships between variables and other 
 complex terms.^ 
 
 iL pragmatism's antmntellectualism 
 
 A second constituent doctrine of Pragmatism is its anti- 
 intellectualism, — a doctrine that in turn has three phases. The 
 fi7'st of these is determined by the reaction against that specific 
 type of intellectualism which preceded the Renaissance and 
 modern scientific development, and which attempted to solve 
 problems by an appeal to tradition, to authority, and to argu- 
 mentation, rather than to nature, experiment, and observation. 
 This intellectualism was largely identical with the use of the 
 traditional Aristotelian substance-logic, and with the resulting, 
 perpetual endeavor to find the essences of "things." A phi- 
 losophy that is directed against such an intellectualism is quite 
 justified, as the development of science itself shows. But this 
 does not warrant a universal anti-intellectualism, to the effect, 
 that intellect and reason can in 7io instance reveal fact and 
 deliver truth. 
 
 A second feature of Pragmatism's anti-intellectualism is 
 the result of generalizing the rather limited procedure of the 
 experimental and natural sciences} The method of these 
 sciences is (a) to observe, sometimes unaided, but more fre- 
 quently by means of experiment and measurement; (b) to gen- 
 eralize from typical cases, and to form hypotheses, subsequently 
 
 * 8ee Poincare, Foundations of f^cience. 
 
 * See, e.g., Jamea, Pragmatism, Chap. VI., and the whole of The Meaning 
 of Truth. I should say that this is a position in which all the prag- 
 matists agree, althoii,';h some emjjhaaize more than does James the pur- 
 posefulnesa and the intention, and the functional and adaptative character 
 of that which issues in the concrete, verifying experience.
 
 PRAGMATISM 275 
 
 to test these and deductions from them by an appeal to observa- 
 ble fact; (c) to ascertain what terms cannot be removed without 
 "disturbing" others, and also what terms cannot be varied 
 without varying others, thus to discover relations of dependence 
 as well as of independence; (d) to discover, by measurement 
 and otherwise, what specific functional relations hold good 
 between terms; and finally (e) upon the basis both of general- 
 izations as to the presence and action of causes, and of the 
 discovery of functional relations, to predict and construct the 
 specific instance, then to await its confirmation by sense 
 experience. 
 
 Now the intellect plays a prominent part in all this procedure 
 in forming hypotheses to guide observations, experimentation 
 and measurement, in making generalizations and deductions, 
 and in forming systems by the interweaving of many generaliza- 
 tions. But if, through such intellectual methods, there are not 
 formed generalizations, hypotheses, and systems that lead to 
 direct confirmation by the sense experience of concrete fact, 
 then. Pragmatism holds, so much the worse for intellect. For 
 sense experience is, in the natural sciences at least, regarded as 
 the ultimate test as to what is fact and knowledge. And it is 
 by rigidly adhering to this test that science has won that insight 
 into nature's processes and secrets, which so conspicuously dis- 
 tinguishes modern knowledge from mediaeval and ancient belief 
 and surmise. 
 
 This feature of the subservience of intellect to sense, of reason 
 to concrete experience. Pragmatism generalizes into a universal, 
 though definite anti-intellectualism, and into a definition of 
 truth. However, this anti-intellectualism does not take the 
 extreme form, that intellect plays no reliable part in revealing 
 fact and in delivering truth, but that it can perform this func- 
 tion provided only that it cooperates with and is checked up by 
 sense experience. Intellect is thus made, not coequal with, but 
 subordinate to, sense experience. For example, should such con- 
 crete things as points be dealt with by intellect, not as indi- 
 viduals, but as classes, — which is the only way they can be 
 dealt with, — then, since we are unable to see, touch, or in any 
 way sen^e a geometric point. Pragmatism doubts the reality 
 of these entities, and characterizes them as being only inven-
 
 276 CAUSATION PHILOSOPHIES 
 
 tions of intellect for the practical purpose of dealing with 
 space. 
 
 The peculiar definition of truth which Pragmatism thus de- 
 rives, by generalizing from its review of the natural sciences, 
 is, that truth is confirmation by concrete fact, or experience.^ 
 No longer, however, — in this generalization — are the facts of 
 sense experience alone insisted upon, but, rather, any concrete 
 facts, as these are experienced after the manner of the sense 
 experience of this particular "thing," or that. The develop- 
 ment of implications by reasoning, the observation of the demand 
 for consistency and freedom from contradiction, and the like, 
 are all very well, provided they lead to the experience, in some 
 way, of a concrete, particular something. But methods, the- 
 ories, and hypotheses that do not have such alternate practical 
 outcomes are left hanging in mid-air, as neither true nor false. 
 
 The result is, that intellect is displaced from any position of 
 equality with other "revealers" of fact and of truth. For 
 intellect seems to be able to deal only with classes and types, 
 while such experiences as sense perception and emotion reveal 
 the singular particular "individual." Intellect can deal with 
 individuals only conceptually, or by the method of intension, 
 namely, with any individual of a class or type defined in a 
 certain way. But sensation and emotion reveal a this or a that, 
 a here or a there, a now or a then. Pragmatism, accordingly, in 
 that definition of truth Avhich is under discussion, accepts emo- 
 tional experience and feeling as well as sensation as "revealers" 
 of those particular facts or workings which constitute the truth 
 of ideas. 
 
 The further result is, that Pragmatism becomes in its anti- 
 inteilectualism a mixture of sensationalism, emotionalism, and 
 immediatism.^ Let an idea or belief, e.g., the belief in immor- 
 tality, lead to a definite emotional satisfaction, thus working 
 successfully, and then, hy definition, that idea is true. It follows, 
 e.g., that different religions, various philosophies, different sys- 
 tems of ethics and of aesthetics, and the like, are all equally true 
 just so long and as frequently as a specific and satisfactory 
 emotional result to some one is their outcome. For — for Prag- 
 matism — the ouicome makes the truth, or is the truth — and not 
 
 ' James, Pragmatism, Chap. VI. ° Especially in James and Bergson.
 
 PRAGMATISM 277 
 
 the mere test. Pragmatism, therefore, does not hold the abso 
 lutistie position, that there is only one truth, or one system of 
 truths, but, for it, there are many truths, and many systems, — 
 as many, in fact, as in some instances there are individuals/ 
 For, so far as in many individuals satisfactory workings result 
 that do not conflict, although they may differ, to that same 
 extent are there many individual truths. It is thus that, in its 
 anti-intellectualism and emotionalism. Pragmatism becomes dis- 
 tinctly individualistic. 
 
 But Pragmatism is also immediaiism. For example, not 
 points, not lines, not volumes, but space as this is perceived 
 directly and without any definite outlines, is regarded as the 
 reality; the parts, such as points, cannot be sensed, and there- 
 fore are held to be only inventions of the intellect that serve 
 the practical purpose of dealing with the intuited whole, space. 
 But perhaps not even space, as thus intuited, is the reality. 
 For it is sensed, not as pure space, but as a space with "things" 
 in it, here and there, and moving, — in time. This whole, then, 
 may be the reality, a world of vaguely continuous and mutually 
 interpenetrating "things" and qualities, happenings, and rela- 
 tions, — matter, energy, time, space, ideas, volitions, feelings! 
 Perception directly distinguishes some of these from others, for 
 even to it certain lines of separation are evident. But these 
 lines are not so sharp as intellect in its analysis would find 
 them. Rather, all "things" are much more alike than science 
 and intellect would admit them to be. They are even so alike 
 as to be continuous. Even human personality, the human self, 
 the knower, may not be different from other "things," but 
 may be one with them, so that, as thas united, a whole of self 
 and not-self may be experienced in great throbs of emotion and 
 ecstasy. 
 
 Thus it is, that Pragmatism, as founded on a generalization 
 from natural science, and as developing on this basis an anti- 
 intellectualism and immediatism, becomes in its extreme form 
 anti-scientific, anti-analytical, and, in a very positive manner, 
 mystical.^ But, thus transformed, for it, all truth is lost; 
 there is only fad, and, at that, only one great fact or experi- 
 
 ' JamcB, Pragmatism, p. 78. 
 
 * In Bergson, especiahy in Creative Evolution.
 
 278 CAUSATION PHILOSOPHIES 
 
 ence, which deserves not even this name, since it is the work 
 of intellect. 
 
 The third feature of Pragmatism's anti-intellectualism is de- 
 rived by a dialectical and analytical attack on the intellectual- 
 istic method in general and the analysis with which this 
 method is identical.** The means of logically establishing 
 this aspect of Pragmatism is radically different from that which 
 is used in behalf of the anti-intellectualism just considered. 
 
 First, — such is the irony — the intellectualistic assumption is 
 made, tacitly, and not explicitly, that only that which is free 
 from contradiction can be fact, and can he true}^ Secondly, it 
 is assumed, also tacitly, that to intellectualize, rationalize, and 
 analyze is identical with using the old Aristotelian logic ^^ with 
 its acceptance of the law of identity as the chief logical principle, 
 with its subjection to the concepts of substance and thing as the 
 universal type-phenomena, with the additive relation as holding 
 exclusively for the composition of parts into wholes, and with 
 the modification theory of relations as applying to all relations 
 between terms. Finally, to support this second assumption, this 
 anti-intellectualism draws upon the results of the natural 
 sciences, especially upon the theory of evolution, although ^^ it 
 ignores that real logic which both underlies much of modern 
 science, and also is so radically different from the traditional 
 Aristotelian doctrine." Accordingly, the method of rationaliz- 
 ing is, in both its analytical and synthetical aspects, implicitly 
 and arbitrarily limited to and identified with the use of the 
 principles of the latter doctrine. 
 
 However, as regards such a procedure, it is clear that no 
 attempt to invalidate reason as such gains its point unless all 
 of reason's aspects and methods are considered; and that to 
 identify rationalization with one specific procedure, and then on 
 this basis to derive an anti-intellectualism, is an attempt to 
 invalidate reason which fails, if there are alternative methods 
 
 • Especially Bergson in Time and Free Will and Creative Evolution; 
 cf. in the present volume, Chaps. III.; XXI.-XXV.; XXVI., II., 2; XL., 
 VII.; XLIII., VII. -XI. 
 
 '" Bergson's major assumption. 
 
 " This is shown by penetrating beneath the superficial plausibility of 
 Bergson's arguments. 
 
 " Bergson, Creative Evolution. 
 
 " Cf. Chaps. XXI.-XXV.
 
 PRAGMATISM 279 
 
 for reason to pursue. But one such alternative, in the ease 
 under consideration, reason has at its command in the principles 
 of the new logic. 
 
 Reasoning was identified with, and limited to, the use of 
 certain logical methods by Aristotle. It was still more inti- 
 mately identified with and limited to these methods in mediasval 
 and scholastic times, as it is even yet in the minds and teachings 
 of many philosophers, in the writings of many logicians, and 
 even in the opinions, though not in the thinking and procedure 
 of many scientists of the present day. But this identification 
 and limitation need not be made. Indeed they cannot be, pro- 
 vided one takes, as one must take, the same position toward 
 logic that is maintained toward other branches of investiga- 
 tion, namely, the position, that advance and new discovery is 
 possible. 
 
 Nevertheless, by first inconsistently ignoring this justified, 
 empirical, and pragmatic demand, and then by identifying reason 
 with the use of only the one method. Pragmatism seems to 
 emerge victorious in its propaganda against intellect. Such a 
 fallacious and yet plausible procedure is, however, not difficult ! 
 To illustrate such a procedure, let us make the two assumptions 
 previously stated, especially the assumption, that parts are 
 related additively to form a whole, and then attempt on such a 
 basis to make a valid analysis of space.^* Now, according to 
 orthodox geometrical science, space is made up of points that 
 are unextended. But such points are the contradictory of ex- 
 tension. Then analysis here leads to the contradictory of the 
 "thing" analyzed, while the inverse process of synthesis cannot 
 derive extension from the unextended (since it is assumed that 
 points can be "put together," or are related only additively) . 
 Accordingly the dilemma results: Either the immediate experi- 
 ence or intuition of space as a whole is reliable, or the analysis 
 into points is. Choose either alternative and the other must be 
 rejected as false. The older intellectualism chose the second 
 alternative. Pragmatism in its anti-intellectualism chooses the 
 first. 
 
 Quite similarly Pragmatism contends that the analysis of 
 motion leads to rests, so that, inversely, synthesis "makes" mo- 
 
 >* Cf. Chaps. XXII.-XXIV., and XLIII.
 
 280 CAUSATION PHILOSOPHIES 
 
 tion consist of the sum of its contradictories. Accordingly, 
 motion is chosen as the ' ' real thing, ' ' and the rests are regarded 
 as only an invention of intellect that serves the purpose, per- 
 haps, of prediction, and the like. 
 
 This argument is generalized, since motion is regarded as 
 typical of all changed The sciences are then drawn upon to 
 show that all is change and evolution, as typified by motion. 
 Accordingly the conclusion is reached that, since change and 
 evolution cannot be analyzed without the introduction of con- 
 tradictions, they must be taken at their face value. ^"^ Thus to 
 the Mysticism that is derived from Immediatism there is now 
 added that Evolutionism which is derived from the acceptance 
 of the results of the natural, especially the biological sciences, 
 and from a specious argument against intellect. 
 
 The argument is specious, because those analytical and syn- 
 thetical results which are accepted as the outcome of intellectu- 
 alizing, are, as a matter of fact, not those which nfiodern science 
 really obtains}"^ Accordingly, if one but accept the alternative, 
 which is ready at hand, of identifying reasoning with the method 
 of obtaining these genuine scientific results, it will be seen, that 
 the whole argument against intellect falls to the ground, and 
 that the supposed contradiction between the immediately given 
 "thing" and the entities revealed by analysis entirely dis- 
 appears. 
 
 One can, therefore, accept hoth ivhole and part as equally real, 
 especially if that which is given directly as a whole, e.g., mo- 
 tion, stands the test, by correct methods, both of analysis into 
 parts and of synthesis into a rational whole. Indeed it is clear, 
 that, if rational methods are used in order to attack reason, the 
 validity of at least some rational methods is presupposed and 
 accepted. But the further correct use of these same methods 
 limits Immediatism, and shows that not all "things" are ex- 
 clusively a7id completely as they are directly experienced. 
 
 This is made clear by examining that correct intellectual 
 analysis of motion which began with the experimental work of 
 
 '° This is why Bergson selects motion and its analysis for examination 
 in the first cliapters of Creative Evolution and in Time and Free Will. 
 
 " Bergson, Creative Evolution. 
 
 " Cf. Chap. XLIII., and the writer's "Defense of Analysis" in The 
 New Realism.
 
 PRAGMATISM 281 
 
 Galileo, and which was completed by Newton's application of 
 the Calculus to all cases of motion. The details of this analysis 
 constitute the science of Mechanics. This science, in turn, falls 
 within the new rather than within the old logic. 
 
 This modern analysis of motion shows, that that state of 
 affairs which holds at each instant of the motion of a body is 
 neither rest nor motion-: Rest is the occupation of a point for 
 at least two, and therefore for an infinite number of instants. 
 Then that complex which is constituted by the correlation of 
 one specific point with one specific instant, in the case of a body 
 moving along a specific path in a definite time, is not rest. But, 
 also, it is not motion, for motion is the series of such complexes. 
 Motion, therefore, is a whole that consists of two kinds of parts, 
 the one, smaller motions, the other, relational complexes ("ele- 
 ments" as regards motion) that are neither rests nor motions. 
 These "elements" are complexes in that each is composed of a 
 point correlated with an instant. ^^ 
 
 Pragmatism's anti-intellectualistic attack on the analysis of 
 motion is, therefore, invalid. For correct modern analysis shows 
 that motion is not made up of its contradictories, rests, but of 
 parts which are neither like the whole, nor as unlike it as are 
 rests. Quite similarly, in the modern rationalization of motion 
 and of that of which motion is typical, namely, change in gen- 
 eral, the synthesis of wholes out of parts is not that which the 
 attack on intellect would have it. Clearly, if rests were the 
 "elements" of motion, and the rests could form a whole only 
 by being related additivcly, then only a whole that is like the 
 parts could be obtained from the parts. For the addition of 
 parts gives only wholes that are like the parts. Dollars related 
 additivcly give a s\im of dollars, and not a cash book. For, 
 the order of "things" makes no difference to addition. 
 2 + 3 = 3 + 2, or, more generally, a -\-h = h -\- a. This is 
 called the commutative law of addition. Accordingly, if the 
 "elements" of motion were related additivcly, then, e.g., in the 
 ease of a falling body, the order of the varying velocities at 
 different instants would make no difference. In any order, they 
 would be a whole accelerated motion. But the scientific fact is, 
 that there is a very definite order among these velocities by 
 
 " Cf. Chap. XLIII., X.
 
 282 CAUSATION PHILOSOPHIES 
 
 virtue of which they form a uniformly accderated motion. At 
 every instant there is a different velocity, and between any two 
 velocities there is an infinite number of others, with some of 
 these velocities in correlation with rational numbers, and others 
 in correlation with irrational numbers, but all in a very definite 
 order, namely, that of magnitude. 
 
 The relation between velocities whereby they form accelerated 
 motion, is, therefore, not additive, but a relation that generates 
 or determines an order which is fixed, irreversible, and non- 
 commutative. It is an order that has the same logical char- 
 acteristics as has the order of the instants of time, or as have 
 the positive integers in order of magnitude. It is clear, there- 
 fore, as concerns the character of loholes in contrast with that 
 of their parts, that a whole which is made up of parts related 
 additively can only be similar in character to these parts, but 
 that if a non-additive relation holds between the parts, a ivhole 
 unlike the parts results. 
 
 This last principle is the secret that underlies both the experi- 
 mental and the intellectual synthesis of modern science}^ For 
 example, genuine synthesis in the case of all chemical elements, 
 compounds, and "radicals," brings about new characteristics 
 in the resulting wholes, as is shown by the fact that hydrogen 
 and oxygen thus form water, and that carbon, hydrogen, nitro- 
 gen, oxygen, sulphur, magnesium, and some other elements thus 
 form that chemical and physical whole, protoplasm, which is 
 found in all living cells. 
 
 In accordance with quite the same principle, motion is "gen- 
 erated" by non-additive relations between "elements" that are 
 neither motions nor rests ; space, by non-additive relations be- 
 tween points that are neither extended, nor, strictly speaking, 
 unextended ; and time, by non-additive relations between instants 
 that are neither durations nor their contradictory. Indeed, it 
 is in accordance with this principle of non-additive synthesis 
 that all those wholes are formed which are treated in the appli- 
 cation of the calculus as integrals. In fact, were all wholes 
 only additive, then would the method and the logical doctrines 
 of the calculus not form a science at all. Additive synthesis 
 alone would suffice. But were all wholes only additively com- 
 
 '•Cf. Chap. XLUl., iv.-vi.
 
 PRAGMATISM 28S 
 
 posed, then would everything be only a mixture, and there 
 would be "nothing new under the sun."^° 
 
 III. pragmatism's evolutionism 
 
 "We now reach the third main constituent doctrine of Prag- 
 matism. If Positivism with its reaction against the substance 
 concept is the first constituent of this philosophy, and anti- 
 intellectualism, in its three aspects, is the second, then evolu- 
 tionism is the third component of the pragmatic mixture. 
 
 The acceptance of the general doctrine of the modern scien- 
 tific concept of evolution together with other scientific results 
 and theories as the foundation on which to develop a philo- 
 sophical position is again witness to the close allegiance between 
 Pragmatism and Naturalism, Naturalism in its earliest days, 
 as found, e.g., in the works of J. S. Mill and Herbert Spencer, 
 was evolutionistic. But this Naturalism also gave its alle- 
 giance to the substance concept as this developed into some one 
 of the three doctrines of Materialism, Parallelism, and Psychism. 
 In Pragmatism, however, as has been already shown, the sub- 
 stance concept is dropped, but evolution remains, — to play a 
 most important, if not a dominant role. As a result, sometimes, 
 as in the anti-intellectualism just discussed. Evolutionism 
 emerges as the grand peroration of the pragmatist, but in a 
 form no longer recognizable as the sober theory of the scientist. 
 Rather it becomes, as, e.g., with Bergson, the mystical doctrine 
 of an all-inclusive flux, with even the knowing process absorbed 
 in this, and with intellect and reason only crystallizing out here 
 and there to serve purely practical purposes, but not to reveal 
 fact. Sometimes, however, evolutionism appears in fairly 
 definite and accurate form as the very basis of Pragmatism. 
 This is the Pragmatism that is advanced by such American 
 writers as Dewey and James, and, among English philosophers, 
 by Schiller. 
 
 That which specifically characterizes the position of these 
 evolutionists, is, that with them, as with the anti-intellectu- 
 alists, the problem of prime interest is the epistemologieal prob- 
 lem, and, secondly, that the solution which is given to this 
 
 *" Cf. with this examination of Bergson, James, A Pluralistic Universe, 
 Ghape. VI. and VII.
 
 284 CAUSATION PHILOSOPHIES 
 
 problem is derived from a very specific cosmology that is ac- 
 cepted and postulated as a broad generalization from the nat- 
 ural sciences, namely, the cosmology of a universal evolution. 
 However, the Pragmatism of these writers is not completely 
 anti-intellectualistic, although it is explicitly anti any a priori 
 philosophy, such as the Kantian, that lays claim to the possi- 
 bility of arriving at knowledge by pure deduction from "truths 
 of the reason." In this sense it is radical Empiricism. 
 
 This evolutionistic Pragmatism aims to demonstrate that 
 intellect, reason, perception, memory, emotion, will, and the 
 psychic processes generally, have all evolved in correlation with 
 nervous systems and sense organs, and a general complexity of 
 structure, and the like, in biological evolution. Accordingly, 
 all these "entities" have only a relative and not an absolute 
 function. Indeed it is conceivable that, had the environment 
 been different, something quite different from intellect, percep- 
 tion, and the rest of the mental processes, or at least something 
 different by way of specific rational principles and specific modes 
 of perception, should have evolved. That which has de facto 
 developed and now persists, enjoys this good fortune only 
 because it is an adaptation and serves the organism some definite 
 purpose either directly, or indirectly by correlation with some 
 directly useful organ or function.^^ 
 
 The general cosmological position upon which this theory is 
 founded is, as has just been stated, that everything, or that 
 almost everything evolves. With this the case, it may be ad- 
 mitted, perhaps, that the laws of evolution are themselves ex- 
 ceptions to evolution, although the knowledge of them is not. 
 Such an admission, however, proves to be extremely dangerous 
 to the theory. Nevertheless, under the influence of those natural 
 sciences which do find the principle of evolution valid for many 
 "things," such as chemical elements, planets, stars, continents, 
 seas, mountains, plants and animals, races and nations, lan- 
 guage and religion, it is not surprising that the hypothesis 
 should be formed, that perception, reason, truth, agsthetic 
 standards, and the like, should be added to the list. 
 
 A critical review of that pragmatism which is founded upon 
 
 " Tliis ia the pragmatism of James, Dewey, Baldwin, Schiller, Moore, 
 Mead, Ames, Boodin, Bawden, and many others.
 
 PRAGMATISM 285 
 
 the general doctrine of an evolution of all "things" shows, 
 Ijowever, that the theory is not based upon any one of the 
 •specific biological theories of evolution. The general principle 
 of evolution is, perhaps, as old as Empedocles. It was accepted 
 by Aristotle and developed by him into a definite and detailed 
 philosophy — one of the most influential that human culture has 
 enjoyed. In modern times the Hegelian philosophy also is 
 distinctly a philosophy of evolution." But it is due to Darwin's 
 influence that the theory has become the capstone in the edifice 
 of biological science, and that the general principle has been 
 accepted and applied in one way or another in nearly every 
 field of inquir3^^^ Lamarck came earlier than Darwin, but it 
 was largely due to Darwin's specific theory of the origin of 
 species that interest was aroused in Lamarck's teachings. 
 
 Aristotle's philosophy of evolution and progressive develop- 
 ment was primarily a theory of universal change, or of uni- 
 versal motion, although, as such, it was a philosophy that was 
 inconsistent with his logic. Ilegel developed a general doctrine 
 of evolution that was a direct consequence of the Aristotelian 
 logic. He showed that, by the Aristotelian logic, any specific 
 change meant, that at some specific instant there both is and 
 is not a certain quality. This is the only way that the change 
 of a into h, e.g., hard into soft, can be rationalized by the old 
 logic. At a certain instant, then, something is, by this Hegelian 
 doctrine, both a and b, i.e., both a and non-a. It is both itself 
 and its contradictory. By showing further, now, that there is 
 no entity for which the contradictory cannot, indeed, must not 
 be thought, i.e., which does not imply its contradictory, Ilegel 
 identified change with logical necessity, and showed that change 
 is, in every instance, logically implied and necessitated. 
 
 The scientific and positivistic theories of evolution differ 
 widely from these philosophical theories. Most of them are 
 based largely upon empirical observation. Darwin's well- 
 known theory is, that out of the wide range of variations of 
 structure and of function presented by the individuals of any 
 
 " Cf. Chaps. XXXV.-XXXVIII. 
 
 ^'' See Dewey, Influence of Daricin on Philosophy and other Essays; cf. 
 Perry, Present Philosophical Tendencies (an excellent analysis of Evolu- 
 tionism in Chap. IX.), and Bawden, Principles of Pragmatiam, Chaps. 
 I.-V., VIII.
 
 286 CAUSATION PHILOSOPHIES 
 
 species, those individuals survive which present the variations 
 that are the best adapted to the environment. The "sifting" 
 by the environment is called natural selection. By means of 
 this selection, as it takes place through successively appearing 
 generations, a specific line of development is determined, and 
 organs and functions are formed that are specific adaptations. 
 As a corrollary, the principle is laid down, that only that which 
 is useful will persist and develop, and, conversely, that that 
 ivhich persists and develops must he characterized hy useful- 
 ness, — past, present, or future. 
 
 Lamarck's specific evolutionism is somewhat different. La- 
 marck held, that if an organism lacks a certain adaptation to 
 its environment, it ''feels" this lack, and also the need of over- 
 coming it, and that, accordingly, in response to this felt need, 
 the effort is made to overcome the lack. Thus, e.g., a giraffe 
 would stretch its neck for food, and a snake endeavor to squeeze 
 through a small opening. Such efforts have their effect on the 
 organism, which is thereby changed in an advantageous direc- 
 tion. Those organisms which thus succeed in adapting them- 
 selves to their environment survive and are the ones to repro- 
 duce their kind, and the next generation inherits the slight 
 adaptations gained by its parents. Lamarck's doctrine thus 
 accepts the principle of tJie inheritance of acquired characters. 
 
 The principle which appears as a corollary of this Lamarckian 
 theory is, that not only the useful persists, and that the persist- 
 ing is useful, but also that whatever is useful and persists was 
 felt hy the organism to he a need hefore the adaptation ap- 
 peared, and that it was even aimed at and purposed hy the 
 organism. Darwinism does not accept this last doctrine, but 
 finds it sufficient to posit in most cases a scheme of a rigorous 
 causal selection from those variations in structure and function 
 that the individuals of any species present. The inheritance of 
 acquired characters is appealed to only in exceptional instances. 
 Lamarckism therefore accepts original variations, but bases gen- 
 uine advance in usefulness of structure and function upon "a 
 felt lack and need," and the changing accommodations of the 
 individual in response thereto. Clearly it thus allows for a very 
 distinct immanent teleology, i.e., for an inherent and somewhat 
 mystical subconscious, or, perhaps, even conscious purposing
 
 PRAGMATISM 287 
 
 faculty or process in every individual organism, possibly in 
 every part of every organism. 
 
 Most of the contemporaneous scientific theories of evolution 
 are the result of attempts to purify Darwinism and Lamarckism 
 of their inconsistencies. Such attempts issue in Neo-Darwinism 
 and Neo-Lamarckism. The one modern theory of note that is 
 not of this character is the mutation theory of de Vries. Dar- 
 winism and Lamarckism are essentially theories of the origin 
 of species, of functions, and of organs, by the gradual accumu- 
 lation, through successive generations, of minute favorahle dif- 
 ferences and adaptations. This process is sometimes called con- 
 tinuous, although it is never this in the strictest sense of the 
 term. The de Vriesian theory of mutations is, in contrast, that 
 of the appearance of sudden and fairly large definite differences 
 in the quantity or quality (one or both) of structure and func- 
 tion, of the individuals of one generation in contrast with those 
 of the preceding generations. De Vries observed the produc- 
 tion, by certain individual primroses, of new species of prim- 
 rose in the next generation. The test applied was that the new 
 species reproduces true to type. Others have observed similar 
 mutations or saltations in several species of plants and animals. 
 This theory is frequently called one of discontinuous origin as 
 opposed to the two previous theories of continuity. By it, 
 definite opportunity is left, however, for a selection by the 
 environment, since only those mutants which possess favorable 
 definite variations will survive and reproduce, thus to continue 
 the species. Accordingly, there is no opportunity for the La- 
 marckian theory of response to a felt need, and the inheritance 
 of the resulting acquired characteristics. Indeed de Vries as- 
 serts that no permanent new characters are ever formed in this 
 way. The corollary of the de Vriesian theory is, therefore, 
 similar to that corollary which is derived from the Darwinian 
 theory, yet with the difference, that in some cases the appear- 
 ance and persistence of characters does not mean their usefid- 
 ness. Characters that are indifferent in this respect, or that are 
 even harmful, may arise and persist for a time. 
 
 Pragmatism develops its evolutionism almost entirely by 
 using either the Darwinian or the Lamarckian scheme. The 
 de Vriesian theory is neglected, although it might furnish some
 
 288 CAUSATION PHILOSOPHIES 
 
 interesting possibilities. However, that which Pragmatism em- 
 phasizes in these theories is the corollaries rather than the main 
 principles. From the corollary, that that which has developed 
 and persists is, a fortiori, useful, or has been, or ivill he, useful, 
 the inference is drawn as regards the chief problem with which 
 Pragmatism is concerned, that consciousness in all of its specific 
 forms, such as knowing, reasoning, the formation of hypotheses, 
 theories, standards, ideals, and finally even the concept of truth 
 itself, is merely an adaptation or a useful function and process. 
 Sometimes there is added to this conclusion the further La- 
 marckian principle, that all of these entities arise because of a 
 felt lack and need in certain environmental circumstances, and 
 also because of the ability of the organism to foresee, to purpose, 
 to try this means and that, and finally to succeed in producing 
 what is demanded. The entire cognitive function in all of its 
 aspects is, accordingly, treated as a planning or purposing, with 
 ultimate success as the only acceptable outcome.^* 
 
 1. Criticism; Truth and Falsity, for Pragmatism 
 
 Of this main conclusion, however, the criticism is to be made, 
 that, from the fact that a function or an organ has persisted 
 and developed, it does not follow, that such a function or organ 
 is only useful, and nothing more. Indeed, as an even more 
 extreme position than this, it can be shown, that persistence and 
 further development are not even universally applicable criteria 
 for usefulness, since useless and, in some cases, positively injuri- 
 ous organs sometimes persist.^^ However, as against this criti- 
 cism Pragmatism claims that everything must find its place in 
 the general scheme of usefulness, even all that we usually call 
 evil, false, and detrimental. For, if everything evolves, then 
 have not alone the true, the good, and the beautiful, but also the 
 false, the evil, and the ugly played their usefid part, at least as a 
 means to useful ends.-*' Indeed, if standards and ideals also 
 evolve, and if the anti-intellcctualistic and immediatistic con- 
 tention is accepted, that the outcome is the sole test, then may 
 
 ** This seems to me to be the type of pragmatism that is upheld by 
 Dewey and his followers. 
 
 "'^ Cf. V. L. Kellogg, Darwinism Today. 
 
 *' That they have, is frankly admitted by the pragmatistB.
 
 PRAGMATISM 289 
 
 not what some call evil be to others the good, the false at one 
 period be the true at another, the beautiful to some be the ugly 
 to others, and, conversely in each case ? 
 
 Pragmatism answers all such questions with "yes," as, per- 
 haps, it is bound to do by its major postulate that all "things" 
 evolve. For, if everything evolves and changes, then, seem- 
 ingly, nothing is permanent, there is no standard, all is relative, 
 and anything may be a means to something else. 
 
 The result is, in that realm where the standard is usually j 
 referred to as truth, and where truth is identified by Prag- { 
 matism with the satisfactory, the successful, and, especially, the 
 useful, that everything is true and that there is no such thing 
 as the false. Thus that very basis of difference hy which truth 
 might he distinguished from falsity is done away with, and 
 Pragmatism is not logically entitled to use either term. There- 
 fore it cannot even claim itself to be a true theory as opposed 
 to other theories as false. It can only maintain that it itself, 
 like other theories, is useful in some way, or that it is satisfactory 
 to some philosophers though not to others, or that it is valuable 
 as a means to the development of further philosophical theories 
 as ends. 
 
 The pragmatic or utilitarian interpretation of ethical and 
 EBsthetic standards is also open to this same interpretation. In 
 reality, in order to have the distinction between the true and 
 the false, the right and the wrong, good and evil, more than 
 a merely verbal one, something more than persistence and use- 
 fulness must be recognized. Indeed, there is no other solution 
 to this problem of error than the candid admission that to 
 make a mistake is a possibility, often enough, indeed, an actu- 
 ality, that is characteristic of each kind of human cognition. 
 
 The implications of this admission are, however, interesting. 
 They are, that cognition is a process, or a relatio7i, or a group 
 of terms in specific relations, that, in any case, is independent 
 of that which is known, and that sometimes corresponds to the 
 reality known, revealing it as it is, and sometimes does not so 
 correspond." This implication is not compatible with that funda- 
 mental assumption which underlies the evolutionism of Prag- 
 
 *' Chaps. XL., I. and v.; XLI., vii.-xi., also xvi.; also Chaps. XLIV. and 
 XLV.
 
 290 CAUSATION PHILOSOPHIES 
 
 matism, namely, that all things interact.^^ For, if everything 
 interacts, so that there are causally produced variations, "lacks" 
 and "needs," and the strivings to remove and to meet these, 
 and a causal selection of some effects and elimination of others, 
 resulting in adaptations, then there must he, in some sense at 
 least, a universal correspondence between adaptation and the 
 entity to which the adaptation is made. For every effect must 
 correspond to its causes, every cause to its effects, with the result 
 that mistakes and errors, as absences of correspondence, cannot 
 exist. 
 
 Pragmatism is thus prohibited, not only from accepting the 
 implication of that definition of error which makes it identical 
 with the lack of correspondence between the cognitive process 
 and the "thing" known, but also from accepting error at all. 
 And yet, it does maintain that error exists, — most notably in 
 the instance of those systems that are opposed to Pragmatism. 
 
 The only condition on which such acceptance of error can 
 be justified is, that there is some other than a causal relation 
 between the knowing process and that which is known. But 
 the implications of this condition are, on the one hand, those 
 which correspond closely to the traditional definition of truth, 
 namely, that it is of the nature of a correspondence between 
 the knowing and the known, and, on the other hand, that know- 
 ing is a process, a relational complex {e.g., a dimension), or a 
 relation, that, in each case, is independent of that which is 
 known. For only provided that there is independence in the 
 situation can there sometimes be a lack of correspondence, or 
 error, and sometimes its presence, or truth. 
 
 The necessity of this same hypothesis is to be recognized also 
 in the instance of the knowing of such non-existential and non- 
 causal entities as numbers, space, and time, and all consistent 
 possihilities. Such entities are, but they do not exist. There- 
 fore between them and knowing there cannot be a causal rela- 
 tion. Yet they are known! In general, therefore, we are 
 
 *' Found explicitly, e.g., in James and Borgaon. (Soe references to 
 Chap. XXVI., II., 2.) This position of a universal interaction is derived, 
 as we have seen, from the traditional Aristotelian logic of things. Prag- 
 matism, therefore, in its hnsic postulate of ivfrraction and of a derivative 
 universal usefulness and identification of this loith truth, is the product 
 of the continued influence of this Aristotelian tradition.
 
 PRAGMATISM 291 
 
 forced to the conclusion, that, if the endeavor is made to account 
 for the presence of that correspondence which subsists in the 
 case of genuine knowledge and truth, we must grant that there 
 is some other than a causal relation between the knowing process 
 and the known entity.^'' 
 
 But, of other relations than the causal there are many, — 
 some of which we have already examined in detail. One of 
 the most important of these non-causal relations is found in 
 functional relationships, in which two variables are related and 
 yet are independent. One variable is called independent, the 
 other dependent, but this is not a causal dependence. It is, 
 rather, only the logical dependence of the logically subsequent 
 upon the logically prior. The relation between accelerated mo- 
 tion and time is a good illustration of such a relationship. 
 Consciousness, or cognition, would seem, therefore, to be some- 
 thing closely similar to such a dependent variable, with the 
 known object the independent variable. In the (genuine) 
 knowing of existing ''things" and processes, there would be, 
 then, a correspondence between the knowing and the known; 
 the latter would be logically prior to the former, the former 
 logically subsequent to the latter. In other words, know- 
 ing implies something known, and would not exist as this 
 or that specific knoiving, did not something (to be known) 
 exist or subsist; but the ''thing" (known) does not imply 
 the knowing, nor would it cease to be, should the knowing 
 disappear. 
 
 This hypothesis as to the nature of knowing, of the relation 
 between it and the entity known, and of truth and of error, 
 satisfies many of the demands that are met with in analyzing 
 these problems. Some of the further implications of this solu- 
 tion of these problems are as follows: — 
 
 I. In addition to the subsistence of a functional relation 
 between the knowing and the known, other relations, such as 
 those of similarity and dissimilarity, asymmetry, and the like, 
 may also subsist. Such an asymmetrical relation always holds 
 between the two variables in a functional relationship, and in 
 all instances of logical priority. Also, if the object known 
 exists, then are the knowing and the object similar in just this 
 
 '* Cf. the section on Eealism.
 
 29i CAUSATION PHILOSOPHIES 
 
 respect, namely, that they both exist; while, if the object does 
 not exist, but subsists, then are the two dissimilaf', in that the 
 knowing is existential, and not merely subsistential. 
 
 II. Knowing is not a substance nor an essence, even as motion 
 is not, but is a relational complex that existentially is a function 
 of time. Thus the opportunity is given for escape from the 
 trammels of the old logic and the concepts of thing and sub- 
 stance, and for the interpretation of the nature of knowing and 
 perhaps of consciousness in general, by means of the concepts 
 and principles of the new logic, especially by the concept of 
 relation. 
 
 III, Specific instances of cognition, such as perception, mem- 
 ory, and reasoning, may arise under certain specific conditions, 
 such as specific causal and functional relationships of a nervous 
 system and sense organs to the environment, and yet these con- 
 ditions need not be in the relation of cause to the knowing 
 process. Yet between or among existing knowing processes 
 themselves, there may be causal relations. This is analogous 
 to the situation that subsists, e.g., in the case of motion. A 
 specific motion is not caused by time, yet one specific motion 
 may cause another. 
 
 TV. If causation and interaction are not universal — and there 
 is not only no proof that they are, but there is proof that they 
 are not — then there may be independent causal series. Knowing 
 processes might be one such independent series, and other ex- 
 istent objects another, and the two be in relation. Accordingly, 
 whatever this relation might be, i.e., whether it be one of cor- 
 respondence or some other relation, its subsistence between 
 series that are independent would be a matter of the lack of 
 causal determination, and, in this respect, a matter of mere 
 chance. 
 
 V. Such an hypothesis accounts for the necessity of an 
 inductive procedure in gaining knowledge, a method, namely, 
 that is identical with the lack of absolute certainty, and with 
 the necessity of experimentation, guesses, trials, errors, and the 
 testing by subsequent working. But the test by successful 
 working is only an indication of the presence of the relation of 
 correspondence and of truth, and is not this relation itself. 
 Truth conditions success, but success and usefulness are not 
 
 A
 
 PRAGMATISM 29S 
 
 identical with truth, although they may indicate its presence.^" 
 We must be careful, however, to guard against a misinter- 
 pretation of the admission, made some pages back, that "to 
 make a mistake" and "to be in error" is a possibility, often 
 become actual, for every kind of cognition. For many phi- 
 losophers are prone to infer from this admission (1) that con- 
 sciousness in general, or that the knowing process in particular, 
 is alone co7istitutive of error; in other words, that all error, 
 including illusions, hallucinations, v^Tong judgments, is either 
 percipi or concipi in its esse; and (2) that, accordingly, since 
 some entities are thus subjective in their being, the existence 
 and the subsistence of all "things" is identical with their 
 percipi or their concipi. 
 
 However, neither of these conclusions is implied by the ad- 
 mission of error. For, in the first place, if some things, e.g., 
 the seeming convergence of the rails of the railroad, were sub- 
 jective in their being, this would imply other entities that are 
 not subjective, but objective. Even Subjectivism cannot make 
 everything subjective, as we have seen.^^ For example, the 
 existence of a spirit is not identical with the idea or notion of 
 it that is possessed by another spirit. And, in the second place, 
 one is not obliged to admit even that all errors or error-objects 
 are subjective in character. Indeed, other hypotheses account 
 for them far better. Thus, in the case of perceptual errors of 
 the type of the apparently bent, but actually straight stick in 
 the water, the bentness is as ohjective as the straightness. The 
 bentness is a characteristic of the complex, the stick and the 
 light as this is refracted by the water; the straightness is the 
 quality of the stick by itself. Different relational complexes may 
 
 ** For the development of these hj-potheses, see the section on Realism; 
 also cf. with the discussion of error just given, Chaps. XLI. and XLIII., 
 II., and the references there given; also see Poincare, Value of Science, 
 Science and Hypothesis, Foundations of Science, trans, by Halsted (the 
 last inclusive of the two above and of Science and Method) ; Bawden, 
 op. cit., Chap. VI.; Dewey, Influence of Darwin on Philosophy and otheii 
 Essays, Chap. IV., especially p. 95; also Chaps. V.-XI. On pragmatism's 
 doctrine of Truth and Error, see James, Pragmatism, lectures II., VI., 
 and VII., and The Meaning of Truth, 1909; also Dewey, Essays in Experi- 
 mental Logic, 1916; C. S. Pierce, Popular Science Monthly, December 
 1877, and January, 1878, and Hihhert Journal, II., 1908; Russell, Philo- 
 sophical Essays, IV., on Pragmatism (one of the best criticisms), and V. 
 and VII. on the Nature of Truth. 
 
 *' Chap. XXX.
 
 S9* CAUSATION PHILOSOPHIES 
 
 have different characteristics, even when one complex is a con- 
 stituent of another complex, as in this case. In this situation 
 the only error that is inherently irremovable from consciousness 
 seems to be that of "taking," in the absence of knowledge of 
 refraction, what is really a straight stick to be a bent one. But 
 if knowledge of refraction is present, then two knowing processes 
 may occur, in each case with that correspondence between the 
 knowing and its object which constitutes truth. The one process 
 has the straight stick by itself as its content ; the other, the line 
 of the stick as refracted by the water, i.e., the bentness. 
 
 In the case of another class of errors, namely, those of judg- 
 ments, of false hypotheses, and the like, the situation is somewhat 
 different. We have previously presented the evidence for the 
 philosophical and logical position, that not all entities exist, but 
 that some only subsist. Numbers, space, and time, and all states 
 of affairs, are examples of such mere subsistents. An existent 
 is singular, particular, and concrete, and as such is correlated 
 with a specific time and place, or at least with a specific time. 
 A subsistent is not so correlated. The position that there are 
 entities that are only subsistents results from the fact, that some 
 specific status must be found for those entities to which we are 
 led by following out implications, but which do not exist, as, 
 e.g., the geometrical relations of a perfectly spherical object. 
 Scientific investigation shows that such entities are implied to 
 be neither physical nor mental existents, and yet to be facts. 
 
 As concerns our specific discussion, therefore, we must ask 
 the question. What status have hypotheses that are m error, and 
 yet are internally consistent, examples being some of the great 
 historical scientific hypotheses such as the Ptolemaic theory that 
 the earth is the center of the universe with the planets, the 
 sun and the stars rotating around it. This is, indeed, the 
 apparent motion. Therefore, the inherent error in the knowing 
 processes of all those who preceded Copernicus (1473-1543) may 
 be said to have consisted in "taking" the apparent to be the 
 real or existential situation. However, there must be something 
 by virtue of which the apparent is the apparent and the "real," 
 the real. 
 
 In solution of the inquiry which is thus suggested, it is to 
 be said, that, if a theory is internally consistent, then between
 
 PRAGMATISM 295 
 
 the knowing of that state of affairs which the theory describes 
 and the (subsistential) entities of which this state of affairs 
 holds, there is a relation of correspondence. If, now, one takes 
 these entities to be also existential, and they are not, one is in 
 error. On the other hand, if they are existential, then there is 
 not only a correspondence between the knowing process and 
 the subsistents, but also between the subsistents and the ex- 
 istents, as well as between the existents and the knowing. But, 
 because that which one takes to exist does not exist, is no ground 
 for making it subjective. Rather, if such an entity finds its 
 place in a consistent and implicative theory, then, although not 
 existential, it is subsistential, and as objective as any existential 
 entity. 
 
 By this rather complicated theory, error may be defined as 
 the "regarding" of something as existential that is only sub- 
 sistential. Only "the regarding," however, is subjective in 
 character, i.e., conscious, and it is this, also, only to him who is 
 immediately "making" the wrong identification of the merely 
 subsistential with the existential. The "regarding" is, there- 
 fore, the only psychical feature in the whole error situation. 
 That which is "regarded as" is neither psychical nor physical; 
 yet it is objective. It subsists. 
 
 From the further discussion and development of this theory 
 of error we refrain, although there are many remaining points 
 of interest and of difficulty. But the discussion that has been 
 presented may have sufficed to show (1) that Pragmatism does 
 not give a satisfactory theory of error is distinction from truth; 
 and (2) that if, quite independently of pragraatistic doctrines, 
 the endeavor is made to find a real difference between truth and 
 error, we are not forced to grant that the esse of error is either 
 its percipi or its concipi — in other words, that all errors are 
 constituted by consciousness, or are conscious in nature. So 
 much the less, therefore, is it justified to infer, as do some 
 idealistically and subjectivistically minded philosophers, that the 
 esse of all objects consists in their being known, — i.e., that their 
 esse is their percipi or their concipi. 
 
 2. The Degrees of Pragmatism's Evolutionism 
 From this discussion of the pragmatic doctrines of truth and
 
 296 CAUSATION PHILOSOPHIES 
 
 error we must now return to the consideration of other phases 
 of Pragmatism's evolutionism. This Evolutionism is advanced 
 in different degrees by the various adherents of the pragmatic 
 philosophy. 
 
 One "degree" of this evolutionism consists of the teachings 
 just presented and criticized. Pragmatism takes over the point 
 of view of the natural, especially the biological sciences, and, 
 generalizing, maintains that not only organisms, but also ideas, 
 hypotheses, and theories evolve. But at this stage of its de- 
 velopment, Pragmatism also accepts unconsciously the realistic 
 point of view of the sciences, namely, that within the usual 
 limits of empirical error, organisms, inorganic elements and 
 compounds, suns and stars, and mental processes, are known 
 (in these sciences) essentially as they are, unmodified and un- 
 created by being known. Also, although these sciences are them- 
 selves regarded as evolving, nevertheless, in this "degree" of 
 Pragmatism's development, it is never doubted that there is 
 a standard of absolute truth which is approached nearer and 
 nearer. Thus the possibility that, although knowing processes 
 themselves evolve, they should, in the sciences and especially in 
 the pragmatic theory itself, reveal "things" as they are, is 
 never questioned. Indeed, in Pragmatism of this degree it is 
 held that there is a genuine objective evolution, that is known by 
 the pragmatist, and that "holds" of all, or, at least, of most 
 "things." In all this. Pragmatism very evidently accepts the 
 positions, (1) that there is an absolute truth as a standard or 
 ideal; (2) that knowing, although related to the "things" 
 known, neither modifies nor constitutes those things; and (3) that 
 the relation between knowing and the known by which truth is 
 constituted is one of correspondence^^^ These propositions are, 
 however, all markedly inconsistent with Pragmatism's own im- 
 plications, namely, (1) that truth is identical with usefulness 
 and success; (2) that whatever, by way of ideas, theories, and 
 the like, is useful and succeeds, is, therefore, true in just this 
 sense of the identity of the trite with the useful; (3) that all 
 "things" interact, producing adaptations, and that knowing is 
 itself an adaptation; and (4) that, accordingly, knowing must 
 
 " Cf. for these three points Chap. XL., iii. and vii. ; XLI; and 
 XLIII.
 
 PRAGMATISM 297 
 
 not only be produced or caused, but must itself causally bring 
 about effects. 
 
 In a further or second degree of the development of its evo- 
 lutionism, Pragmatism aims to correct some of these incon- 
 sistencies. It still retains its realistic doctrine, derived from the 
 natural sciences, that the "real nature" of "things" can be 
 known, and can, therefore, be related to the knowing without 
 being affected thereby. But it now maintains that, also, all the 
 principles of proof, all tests and criteria, as well as all specific 
 theories, have evolved, and have persisted and been accepted 
 only because of their usefulness. However, the standard of an 
 absolute truth is still tacitly accepted, both for Pragmatism itself 
 as a theory, and for the sciences that it accepts. Yet the dif- 
 ficulty is recognized of finding an absolute criterion and test 
 by which to make certain that such a truth has been attained. 
 The position is taken, not that this truth cannot be won, but 
 that, possibly, it may not have been, except by the merest chance, 
 as it were, so that, in these circumstances, the only feasible test 
 is empirical confirmation by immediate experience, success, and 
 usefulness. At this stage, however, there still remains the incon- 
 sistency of a presupposed absolutism side by side with an implied 
 relativism as regards the nature of truth.^^ 
 
 In the third degree of Pragmatism's development the attempt 
 is made to remove the ground for this last criticism, by maintain- 
 ing, that even standards and ideals, in fact, that the very "ideas" 
 or principles of truth, of right and goodness, of correctness, and, 
 indeed, of all tests and criteria have evolved, and that these 
 ideas and principles have persisted, because of their useful and 
 satisfactory character. But the thought of a realm of facts that 
 are independent of being known, and that, if known, are not 
 infiuenced by the knowing, still lurks in the minds of the ad- 
 herents of this degree of evolutionism, as is shown by the attitude 
 that is still taken toward their own theory. For it is main- 
 tained that this, at least, portrays "things" as they are, and 
 
 '• These three degrees of Pragmatism's Evolutionism will not be found 
 to be as sharply distinguished in pragmatic literature as they are here. 
 They are degrees in the growth of the pragmatic viewpoint until it reaches 
 the extreme development that is found, e.g , in Schiller's Humanism and 
 Bergson's Creative Evolution. On the whole, Dewey and James and their 
 followers represent the first two stages, Schiller and Bergson, the third.
 
 298 CAUSATION PHILOSOPHIES 
 
 the natural sciences are still drawn upon to furnish many of the 
 details. Thus the Realism in the position still persists. 
 
 Finally a desperate attempt is made to remove this last incon- 
 sistency by applying the concept of evolution to the very idea 
 of a real "ivorld" and to the knowledge of all those details in 
 terms of which, because of the development of language, of 
 beliefs, of conventions, and the like, this "world" is thought of 
 by human beings. All that we regard the "world" to be, either 
 en masse or in detail, is here interpreted as man-made. This is 
 Pragmatism's humanism. If man were a lion, then were God 
 also a lion, said Xenophanes. "But man is man," says Human 
 ism, and, therefore, is everything after the image of man.^'^ 
 
 But whether even this advanced degree of Pragmatism's evo- 
 lutionism is sufficiently consistent is still a question. For, it 
 is still important to ask, whether man himself is thus known 
 as he really is, or only as a mere invention, a growth, a "working 
 point of view," an hypothesis? But, if he is this, then it may 
 be asked, Where is the leverage, the resting point, the nov ffrco 
 of the position? Must there not be "somewhere" a reality that 
 is not man-made, that is 7iot relative, and that is not dependent, 
 in any way whatsoever, on being known ? Does not the position 
 presuppose this, and, also, that this reality is correctly known, 
 even though it be (known) only as a pliable, plastic "some- 
 thing" that, as knowing processes appear in the evolutionary 
 series, may be modified, altered, and, in short, "made" in the 
 form in ivhich it is now known hy virtue of its causal relation 
 to the knowing process? Finally, is this radical evolutionism 
 itself man-made and humanistic, and relativistic in the sense, 
 that another theory might have become man-made? Or does it 
 present the real state of affairs? 
 
 To these inquiries the reply must be, that Humanism presup- 
 poses a definite ontology, and that it accepts this ontology on 
 the basis of a realistic epistemology. In this respect it is quite 
 like, e.g., Phenomenalism. In fact it is a modern recrudescence 
 of this position, adapted to the demands or influences of the 
 
 ** Schiller in Humanism, Axioms as Postulates; cf. Schiller in Personal 
 Idealism, Bergson in Creative Evnintinn. and .lamca in I'ragmatism, Lec- 
 tures II., VI., and especially VII., p. 242, "Schiller on Humanism"; 
 also, The Meaning of Truth, Lectures III. and V., and Essays in Radical 
 Empiricism, Chaps. VII. and IX.
 
 PRAGMATISM 299 
 
 general theory of evolution. No longer, in contrast with the 
 earlier pragmatisms, does it preach the doctrine, that it may 
 be, that we do 7wt know; but, rather, like Phenomenalism, it 
 explicitly concludes that we cayinot know "things" as they are, 
 but only as ive make them, and, therefore, as thej^ appear to us. 
 Also, like Phenomenalism, it implicitly presupposes, as a basis 
 for this conclusion, a genuine knowledge of some 'things" 
 as they are, and finally concludes with a theory which, 
 as a whole, presents a states of affairs that is presumed to be 
 real, and not ** manufactured" in any sense. Thus it is, that 
 a realistic epistemology emerges both at the heginning and at 
 the end of Humanism.^^ 
 
 rV. GENERAL CRITICISM OF PRAGMATISM 
 
 Every degree of the development of the pragmatic position, 
 except perhaps the first, is open to the charge of the same incon- 
 sistency of which, in this final degree, Humanism is guilty, 
 namely, that a non-pragmatic position is tacitly presupposed as 
 a basis upon which both to develop the pragmatic theory of 
 knowledge and also to accept the resulting detailed theory as 
 true. The first degree of Pragmatism seems to escape this incon- 
 sistency, but this is only because the implications of such an 
 elementary Pragmatism are not made explicit. 
 
 The crucial question is, therefore, whether the pragmatic 
 theory in its complete development is to be accepted and inter- 
 preted pragmatically, or not ? "^ Consistency demands that it 
 shall be so accepted, and yet, if it is so accepted, — on the ground, . 
 namely, that it is a theory that works well, and is useful and 
 satisfactory — then one must infer that it is a theory that is true j 
 only relatively, and not absohitely. But, on the other hand, ,« 
 Pragmatism is a theory that is advanced as true in the latter, ' 
 and not in the former sense. Also, if Pragmatism is itself '( 
 interpreted pragmatically on the ground of consistency, yet not 
 because consistency is useful, but because it is consistency, then, i 
 again, not a pragmatic, but an absolutistic criterion and char- \ 
 acteristic of truth is accepted. The only escape from this is 
 
 =" Cf. Section 4, Chaps. XXXIX. and XL. 
 
 ^* The question raised, e.g., by Royco in his presidential address, "The 
 Eternal and the Practical," Phil. Review, Vol. XIIL, No. 2, March, 1904.
 
 300 CAUSATION PHILOSOPHIES 
 
 to accept consistency as being merely useful, but this is at the 
 cost of introducing relativism once more as characterizing, not 
 only other truth, hut also the triith of Pragmatism itself. On 
 the other hand, if the pragmatic position, either in its partial or 
 its complete development, be interpreted frankly as not relative, 
 as not pragmatic, but as portraying ahsolutely the real state of 
 of affairs concerning the "things" it investigates, then it is 
 disloyal to its own theory of truth and of knowledge, and is 
 open to the charge of inconsistency, even as this is defined by 
 the very absolutism which is therewith tacitly accepted.^'' 
 
 This is the dilemma in which Pragmatism finds itself. It 
 would choose to be relativistic toward everything — except the 
 pragmatic theory; but toward this it must, seemingly, be abso- 
 lutistic, though to be this is to incur new difficulties in order to 
 avoid others. It would hold that all ''things," including all 
 knowing processes, interact with other "things," with the result 
 that all "things" are modified by one another, constituted by 
 one another, and adapted to one another. But Pragmatism 
 does not take this position as regards those "things" or states 
 of affairs that are known in the pragmatic theory, and that 
 are related to the knowing that takes place in the mind of the 
 pragmatist. Indeed, it cannot take this position toward itself, 
 without making itself relativistic, and not absolute ; yet it must 
 take this position toward itself in order to be consistent. 
 
 Which horn of the dilemma does Pragmatism "really" 
 accept? The answer to this inquiry depends psychologically 
 upon the attitude which one takes toward the character and 
 use of logical principles. Can such principles be used uncon- 
 sciously and without having received formulation, or not? Can 
 one thus unconsciously have his thinking conform to and pre- 
 suppose certain principles; e.g., can one in asserting and deny- 
 ing, thus use and presuppose the principle of contradiction? 
 If these "things" can be done, then the answer to our first 
 inquiry is quite evident — and it is an answer that is quite in 
 accordance with that standpoint which is accepted and pre- 
 sented in our introductory chapters. That answer is, that Prag- 
 matism itself logically — no matter what attitude the prag- 
 matist may will explicitly to express in indignant denial of 
 •' Royce's criticism, ihid.
 
 PRAGMATISM SOI 
 
 this — contradicts itself iy explicitly developing the definition of 
 all truth as relative, and hy then making a tacit exception to 
 this definition as regards the truth of itself as a theory. 
 
 To the writer the fact of this self-contradiction in Prag- 
 matism makes the theory impossible of acceptance, while it also 
 furnishes further empirical evidence for Realism. For it is upon 
 a realistic basis that Pragmatism rests as regards the epi- 
 stemological interpretation of the knowing of those states of 
 affairs that form the "content" of the theory itself, or that 
 are "the objects known" and described in that theory. 
 
 The crucial question for Pragmatism therefore is, Shall this 
 realistic basis be observed and developed further? But, if it 
 is, what becomes of Pragmatism? And if it is not, what becomes 
 of Pragmatism's consistency? 
 
 V. CONCLUSION 
 
 This discussion of Pragmatism has been so long that it may 
 be well to give a summary. The theory represents the most 
 modern development of the positivistic and naturalistic tend- 
 encies in philosophy, as these have been influenced by the nat- 
 ural and empirical sciences, and especially by the general 
 doctrine of evolution. The theory is, however, full of incon- 
 sistencies, some of which are most damaging. If these be dis- 
 missed by Pragmatism with the claim, that consistency is one 
 kind of usefulness, but not the only kind, and that, therefore, 
 it need not trouble itself over these internal difficulties, and 
 that it itself may be useful and satisfactory and therefore true 
 notwithstanding them, then, in accepting usefulness and satis- 
 factoriness as the ultimate characteristic of itself as a theory, 
 Pragmatism must grant the right of other opposed theories to 
 maintain this same status, as well as whatever follows from it. 
 But, one will readily appreciate, that to some philosophers 
 other theories may be quite as satisfactory and useful as Prag- 
 matism is to its adherents, and, therefore, by Pragmatism's own 
 doctrine, be quite as true. Then ivhy — one naturally asks — 
 advocate Pragmatism as against these other theories ? 
 
 The fact is, however, that Pragmatism's identification of 
 truth with usefulness and resulting satisfaction, and the like, 
 does not stand the test of criticism. Indeed, Pragmatism does
 
 802 CAUSATION PHILOSOPHIES 
 
 not accept this identification in regard to the presumed truth of 
 its own theory. Toward itself, it takes the position that, al- 
 though it is a useful and satisfactory theory to the pragmatist, 
 it is not for these reasons true. Rather, its truth is tacitly held 
 to "rest" on another relation, namely, that of correspondence 
 between the known state of affairs described by Pragmatism and 
 the knowing of this, and it is because the theory is true in this 
 sense, that it is also useful and satisfactory. Usefulness and 
 resulting satisfaction are thus tacitly held by Pragmatism to be, 
 at most, only indications of or tests for its own truth, — a truth 
 that conditions them, but with which they are not identical. 
 
 However, Pragmatism does not consistently stand by even 
 this last tacitly presupposed position, namely, that the useful- 
 ness and satisfaction of an idea, a theory, a belief are indications, 
 or tests of truth. For, toward other theories which are directly 
 opposed to the pragmatic, and which are satisfactory to their 
 adherents. Pragmatism takes the position, that, although useful, 
 these theories are not true;^^ indeed, in their case. Pragmatism 
 maintains that the very fact, that the idea, or "the holding of 
 them to be true," itself generates or conditions the effect of 
 satisfaction, makes against their being true. In these circum- 
 stances it is quite evident that Pragmatism cannot consistently 
 advance the doctrine, implied by its evolutionism, that mere use- 
 fulness and satisfaction are not only "marks" of, but also are 
 identical with, truth. This identification makes it impossible, 
 as we have seen, for Pragmatism to recognize as false anything 
 that has persisted and is still extant. Yet, inconsistently there- 
 with. Pragmatism regards those theories that are opposed to it 
 &. thoroughly in error. 
 
 On the other hand, if one considers, not the consequences, but 
 the suppositions upon which the pragmatic theory rests, and the 
 positions which it takes toward itself, and compares these with 
 its explicit teachings, one again discovers many inconsistencies. 
 Explicitly, in its epistemology. Pragmatism is relativistic and 
 individualistic. But, for itself, it presupposes Absolutism and 
 a universal standard. Further, explicitly, in its most advanced 
 degree of development, it is phenomenalistic, with a strong tend< 
 
 '"E.g., .Tamos, Pragmatism, Lectures III. and IV.; Pluralistic Universe, 
 Lectures I., II., III.
 
 PRAGMATISM SOS 
 
 ency towards Subjectivism. But, toward itself and in respect 
 to the ontology upon which it rests, it is frankly realistic. Its 
 cosmology and teleology are those largely of the generalized 
 theory of evolution which it obtains from the natural sciences, 
 and which it both rests upon and further develops. Also, its 
 ethics and entire theory of values, as explicitly developed, are 
 evolutionistic and relativistic, while, by its explicit teachings, 
 the theological problem is as capable of as many solutions as 
 are satisfactory and useful to different races, nations, and even 
 individuals. 
 
 Toward the problem of the nature of consciousness, Prag-J 
 matism offers no positive contribution, except by elimination.! 
 It does, however, get away from any explicit teaching, that there 
 is an ego or siibstance-like and indivisible, simple soul, or that 
 consciousness in its several phases is a substance or energy. 
 Rather, it approaches the realistic position, that consciousness 
 is either a specific relation or a dimension,^" and the dynamic 
 view of modern psychology, that consciousness appears and dis- 
 appears on certain conditions, so that it is the generic name for 
 a specific set of processes. 
 
 For its reaction and protestations against the domination of 
 the ''thing" and substance concepts in our thinking, Prag- 
 matism deserves only credit. Yet, since these concepts have 
 been and still are satisfactory to some thinkers in the develop- 
 ment of science and philosophy, Pragmatism must admit, by 
 its explicit teachings as to the nature of truth, the truth of these 
 concepts. 
 
 Like other philosophies. Pragmatism is the result of intel- 
 lectual endeavor. It therefore presupposes the correctness and 
 trustworthiness of at least some intellectual methods.*" Yet, 
 in its extreme form of evolutionism and anti-intellectualism, it 
 denies to intellect all power to reveal the absolute truth, ascrib- , 
 ing to it only the ability to produce falsifications that are 
 nevertheless useful.*^ In this attack, however, intellect is un- 
 justifiably limited to the use of only one set of rational princi- 
 ples, namely, those of the old logic of "things," The attack 
 
 '" James, Pluralistic Universe, Lecture V. 
 *" Cf. Chap. XL., IX., XLL, xii. and xiv. 
 *' Bergson's position in Creative Evolution.
 
 804 CAUSATION PHILOSOPHIES 
 
 fails, however, because in the solution of certain problems, such 
 as those of motion and change in general, other methods of 
 analysis and synthesis are at hand for intellect to use. The 
 attack also fails, if that presupposition which Pragmatism itself 
 makes as regards its oivn argument be recognized, namely, that 
 the old logic is valid for the field of ordinary discourse. One 
 can readily show, therefore, that both intellect and perception 
 reveal fact, and that truth is obtained by checking each of these 
 processes by the other. 
 
 This, indeed, is the method that has been used by practically 
 all modern sciences, especially by those natural sciences upon 
 which Pragmatism in particular is based. Therefore Prag- 
 matism's anti-intellectualism is acceptable and stands the test 
 of criticism only in so far as it is a protest against the exclusive 
 use of the old logic of "things." This was the method of 
 scholastic science and philosophy, and it has been the method 
 also of much modern philosophy. But it is not the method and 
 the iyitellectualism of modern times. 
 
 Just as one finds both acceptable and unacceptable doctrines 
 in Pragmatism's anti-intellectualism, so also does one find them 
 in its evolutionism. Pragmatism as a philosophical position is 
 based on the general doctrine of evolution more than upon any 
 other scientific principle. For, even in that phase of Prag- 
 matism's anti-intellectualism in which all intellectualizing is 
 held to be a process of falsifying, and it is concluded, that only 
 "the evolving" is real, it is only the order of argumentation for 
 evolutionism, namely, the ratio cognoscendi that is different. 
 The ratio essendi, the real logic of the order of its argument, is 
 still the same, namely, that Pragmatism is derived from the con- 
 cept of evolution as applied to everything. 
 
 In its use of the doctrine of evolution. Pragmatism, however, 
 goes to extremes. It is, undeniably, a fact of science, that many 
 "things" evolve. The list of "things" that do, includes stars, 
 and suns and planets, perhaps, also, the chemical elements, cer- 
 tainly plants and animals, and, finally, such human institutions 
 as language, religion, literature, art, science, and philosophy. 
 But, just as the principles of biological evolution do not hold for 
 all these evolving "things," so, also, is it a question whether 
 the general principle of evolution applies to all "things" without
 
 PRAGMATISM 305 
 
 exception. Pragmatism, somewhat uncritically and vaguely, 
 maintains that it does. But, it may be asked, whether, e.g., the 
 principle of evolution, as distinct from the knowledge of this 
 principle, itself evolves? Certainly the knowledge of it may, 
 but does it, even if all other "things" do? But further, do 
 space and time evolve, or does only the knowledge of them? Do 
 numerical relations, although the evolution of other "things" 
 may take place in accordance with these? Do those general 
 logical principles that underlie the very principle of evolution 
 itself? Finally, do all those states of affairs that hold of those 
 entities to which we are led by consistent thinking, namely, the 
 realm of subsistents? Or those ultimate elements, — whatever 
 these may be, electrons, or something else, — out of which the 
 existential physical world is "made"? 
 
 If the answer to these questions, some or all of them, is 
 negative, as it must be, then the position that must be taken 
 toward the principle of evolution is, that its field is limited. 
 Not all "things" evolve! Some do, hut some do not. Those 
 which do, are those existents, physical and mental, which are 
 complex, and not simple. But no subsistents evolve, and some 
 existents do not, namely, those existents that are absolutely 
 simple. Only complex existents, correlated as they are with 
 specific times or places, one or both, are subject to the general 
 principle of evolution, and that, perhaps, in only the most 
 general sense of this term as meaning change in composition, 
 usually from the less to the more complex. 
 
 The logical and philosophical position that Pragmatism pre- 
 supposes or takes toward itself both in its foundation and as a 
 fully developed, reasoned theory, confirms this criticism of evo- 
 lutionism. For example, it may be asked: Is the pragmatist 
 ever found presenting his Pragmatism as a theory that is true 
 (useful) only today, but that would not have been true a 
 hundred years ago, or that would not be true a hundred years 
 hence ? Does he not, rather, offer it for acceptance as a position 
 which presents a state of affairs regarding knowledge, truth, and 
 the like, that was a fact before it was known to be a fact, but 
 that has become known in recent years and that will remain a 
 fact indefinitely in the future, even though it be for gotten f 
 Also, does not the pragmatist take the position toward bis own
 
 806 CAUSATION PHILOSOPHIES 
 
 theory, that, although the knowledge of it has evolved, the com- 
 plex state of affairs which it presents has not? 
 
 Seemingly, if we can judge by the character of the prag- 
 matist's own propaganda, only ''yes" can be answered to these 
 inquiries. But, if a distinction is presupposed between, on the 
 one hand, that state of affairs which has been fact ''all the 
 time," and has not evolved, and, on the other hand, the knowing, 
 which has evolved, then is it not also presupposed that, although 
 the knowing of the pragmatic theory may be both satisfying 
 and useful, nevertheless, these characteristics do not constitute 
 the truth of the theory ? And is it not also presupposed that the 
 theory is true, because the knowing that has evolved reveals 
 the real nature of "things," so that there is a relation of cor- 
 respondence between the knowing and the known ? 
 
 Again must our inquiries be answered affirmatively. The 
 same general position that Pragmatism takes for itself must be 
 adhered to in the philosophical interpretation of the character 
 of other attempts to know. There are two realms of entities to 
 become known when the conditions for knowing have themselves 
 evolved. These two realms are those of existents and of suh- 
 sistents.*- Jome existents evolve, and, among these, are specific 
 knowing processes, which can themselves become known as well 
 as can other e istents. The evidence is, however, that knowing, 
 once it exists, is not subject to the same principle of causal 
 interaction as are other evolving "things." For, although the 
 knowing is, of course, related to the "thing" known, the two are 
 independent of each other. The knowing takes place, and knowl- 
 edge arises, yet in no case with absolute certainty, but only 
 with tentativeness. Among ideas and beliefs, theories and 
 hypotheses, there are variations, survivals, and deaths, in fact 
 a genuine evolution. The useful ideas and theories survive, their 
 usefulness being conditioned by their truth, a7id not conversely, 
 until finally a state of affairs is revealed concerning both 
 "things" that exist and "things" that do not, which knowledge 
 has a high degree of probable, though, perhaps, never of abso- 
 lute truth. 
 
 Pragmatism in its evolutionism presents much that is true in 
 this sense. But, just as the theory itself has had a history, and 
 
 **Cf. the classification given in Chap. XLIV.
 
 PRAGMATISM 307 
 
 has evolved, without that state of affairs which it describes hav- 
 ing enjoyed the same fate, so Evolutionism may hold of many 
 "things" without holding of all. This, rather than that uni- 
 versal evolutionism which Pragmatism maintains, is the verdict 
 of that modern criticism which is so fortunate as to be free from 
 the naturalistic bias that is engendered by the undue emphasis 
 of the natural sciences in respect of their data, their methods, 
 and their dominant concepts and generalizations. 
 
 GENERAL BIBLIOGRAPHY 
 
 The literature on Pragmatism has been very extensive in recent years 
 in respect to both volumes and articles. The following are some of the 
 more important volumes by the leading American and English pragmatists: 
 H. H. Bawden, The Principles of Pragmatism, 1910; J. E. Boodin, Truth 
 and Reality, 1912; J. Dewey (with his pupils), Studies in Logical Theory, 
 1903, 2nd ed., 1909, (cf. Empirical Logic, 1916) ; Ethics (with J. H. Tufts), 
 1909; Influence of Darwin on Philosophy and other Essays; Education and 
 Democracy, 1916; and many articles in the philosophical journals; Wm. 
 James, Meaning of Truth, 1909, Pragmatism, 1907, A Pluralistic Universe, 
 1909, Some Problems of Philosophy, 1910, Memories and Studies, 1911, 
 Essays in Radical Empiricism, 1912; A. W. Moore, Pragmatism and Its 
 Critics, 1910; F. C. S. Schiller, Humanism, 1912, and an Essay in Personal 
 Idealism, ed. by H. Sturt, 1902. 
 
 The leading French pragmatist is Bergson, Creative Evolution, trans, by 
 Mitchell, 1911; Titne and Free Will, trans, by F. L. Pogson, 1910; Matter 
 and Memory, trans, by Paul and Palmer, 1911. 
 
 Among German pragmatists there are: W. Jerusalem, Introduction to 
 Philosophy, trans., 5th ed., 1910; H. Vaihinger, Die Philosophic als Ob, 
 1911: Nietzsche was one of the earliest pragmatists, especially in his 
 " Darwinian Period," — a fact that is generally overlooked. Works, Eng. 
 trans., ed. by Tille; cf. monographs on Nietzsche by A. Riehl, Vaihinger, 
 Eisler, Wolf, and Menchen. 
 
 Closely allied with Pragmatism and regarded by some as pragmatists 
 are: Poincare, Science and Hypothesis, Value of Science, Science and 
 Method; Mach, Science of Mechanics, and Wdrmelehre (last part) ; LeRoy, 
 in many articles; Karl Pearson, Grammar of Science; Eucken, Main Cur- 
 rents of Modern Thought, and a number of other volumes. 
 
 For a discussion and criticism of Pragmatism see: Wm. Caldwell, Prag- 
 matism and Idealism; C. S. Peirce, Popular Science Monthly, December, 
 1877, and January, 1878; G. Tyrell, Christianity at the Crossroads, 1909, 
 Lex Orandi, 1903, Lex Credendi, 1906; A. O. Lovejoy, " The Thirteen Prag- 
 matisms," Journ. of Phil., Psych., and Scientific Methods, Vol. V., p. 5; 
 Royce, Presidential Address on " The Eternal and the Practical," PhiL 
 Review, March, 1904.
 
 SECTION III 
 
 SUBSTANCE PHILOSOPHIES 
 OBJECTIVE IDEALISM 
 
 CHAPTER XXXIV 
 INTRODUCTORY 
 
 I. OBJECTIVE, SUBJECTIVE, AND PLATONIC IDEALISM 
 
 Objective Idealism is the name for that philosophy which 
 maintains that, while so-called physical entities are not, as 
 Subjective Idealism holds, either the sensations or the ideas of 
 finite spirits, they (physical entities) and, also, all other entities 
 are, nevertheless, in some way psychical or mental in nature, 
 especially as identical with the mental "contents" of some Abso- 
 lute Mind, Self, or Spirit. Of all modern philosophical systems 
 this position has received, perhaps, the fullest development, and 
 exerted the widest influence in philosophical and especially in 
 religious circles. Phenomenalism is the only position to dispute 
 these claims, but Objective Idealism probably far exceeds Phe- 
 nomenalism in the number both of its adherents and of the 
 pages offered in its behalf in the classical tomes of such phi- 
 losophers as Spinoza, Fichte, Schelling, Hegel, Schopenhauer, 
 Bradley, and Royce. 
 
 Historically Objective Idealism grew out of Phenomenalism 
 in the efforts of the critics ^ of this latter theory to remove its 
 difficulties and to present a coherent and consistent system. 
 Therefore, thus regarded. Phenomenalism, with its emphasis of 
 the epistemological problem and of the ego-centric predicament, 
 becomes the most completely developed and the most influential 
 of all modern systems. However, while the study of historical 
 development might reveal a certain continuity between Phe- 
 
 • E.g., Fichte. 
 308
 
 INTRODUCTORY S09 
 
 nomenalism and Objective Idealism, criticism from the stand- 
 points of modern logic shows that the two positions are quite 
 different in their logical structure. For Phenomenalism is based 
 on the modification theory of relations, and Objective Idealism 
 on the underlying- or transcendent-reality theory. 
 
 Sometimes Objective Idealism is called Transcendental Ideal- 
 ism, and, as well, also, Absolute, Epistemological, and On- 
 tological Idealism. The theory differs (as has just been stated) 
 from Subjective Idealism, since, whereas this latter theory 
 makes at least the whole so-called physical world subjective in 
 its being, Objective Idealism grants the objectivity of that 
 world with reference to finite conscious individuals, such as 
 human beings. For Objective Idealism, this "world," with all 
 its relations, events, objects, and qualities, may be the mani- 
 festation of One Infinite Spirit, but it is not the mere sensa- 
 tions or ideas of finite spirits. Indeed, for Objective Idealism, 
 finite spirits may themselves, like physical "things," be "ab- 
 sorbed," in some manner, into a single great all-inclusive spirit. 
 Objective Idealism may, therefore, very properly be called a 
 psychism, though it is not one that develops out of Naturalism.^ 
 Indeed, it is a psychism that is extremely critical toward all 
 those naturalistic tendencies that have been discussed under 
 the captions of Pragmatism, Parallelism, Positivism, and the 
 like. 
 
 It is important to note, however, that, together with Sub- 
 jectivism, which is also a psychism, Objective Idealism differs 
 very radically from that other great historical Idealism, the 
 Platonic. Indeed, this last theory is, strictly speaking, not a 
 psychism at all, but a Realism of Ideals.^ For it, ideas, per- 
 cepts, acts of will, and the like, are, as psychical entities, real, 
 as, also, are physical objects ; and both of these types of entities 
 can be known "as they really are," unmodified and uncon- 
 stituted by the act of knowing, and although there is error and 
 opinion in the midst of truth and genuine knowledge. But, 
 also, in Platonic Idealism, ''ideals" are maintained to be quite 
 as real, and quite as genuinely known, as are other entities. 
 Such ideals are, e.g., those of absolute and perfect truth, of 
 goodness, and of beauty, and also those of the perfect man, the 
 
 » See Chap. XXXII. ' Chaps. XLIV., XLV., and XLVI.
 
 SIO SUBSTANCE PHILOSOPHIES 
 
 perfect circle, the perfect rose. In fact, for each realm of 
 existing "things" there is the ideal, the standard, the pattern, 
 the archetype, which may be approached, but never reached. 
 Indeed, concrete, particular "things" come and go, appearing 
 at certain times and, perhaps, also places, but the ideals are 
 neither here nor there, neither now nor then. They are time- 
 less, and, in that sense, eternal ; spaceless, and, in that sense, 
 omnipresent; subsisting, but not existing. 
 
 These distinctions between ancient and modern Idealism are 
 most essential. Clearly, ancient Idealism is not a psychism, 
 since, for it, all "things" are not ultimately mental in nature, 
 and there is no insuperable difficulty in the way of knowing 
 "things" as thej'- are; also, "things" are neither altered by 
 being known, as in Phenomenalism, nor wholly constituted by 
 knowing, as in Subjective and Objective Idealism. Ancient 
 Idealism is, therefore, a Realism not only as regards physical 
 and mental entities, but also as regards entities that are neither 
 physical nor mental. 
 
 Objective Idealism also, while it is ontologically, in respect to 
 its conclusions, a psychism, is epistemologically , as regards its 
 basis, a Realism. Its psychism consists in its final position that 
 the ultimate nature of all "things" without exception is mental; 
 its Realism is identical with its position, — taken, perhaps, as a 
 result of criticism of other philosophies, — that there are no 
 difficulties inherent in the knowing situation to prevent our 
 getting at this ultimately psychical character of all "things."* 
 Yet there are difficulties. For, that all "things" are ultimately 
 psychical, is a proposition that is not only not evident to direct 
 experience, but that is difficult to establish. Yet, with this 
 demonstration once made, Realism again appears, though not 
 a Realism of the senses and of ordinary experience, but of 
 rational and also, perhaps, of emotional processes. For by 
 rather devious rationalizing, the objective idealist finally comes 
 to know that all "things" are psychical, and, knowing this, 
 finds this knowledge to be confirmed by an emotional experi- 
 ence, oftentimes ecstatic in character, in which it is felt, that 
 all is spirit, and indeed that he himself is one with that spirit 
 which is all. 
 
 * Chaps. XL., in. ; XLIII.
 
 INTRODUCTORY 811 
 
 II. THE HISTORICAL DEVELOPMENT OF OBJECTIVE IDEALISM OUT OP 
 PHENOMENALISM 
 
 The question has already been discussed, whether the prob- 
 lems of philosophy are problems because they have appeared in 
 a specific historical development, or because they concern facts 
 that present difficulties which are quite independent of history.^ 
 It has also been found, in answer to this question, that, if there 
 are historical facts — and, of course, there are — there may be 
 other facts — facts that are not historical or genetic. One can 
 distinguish, therefore, facts that are not historical, and facts 
 that are historical. In turn, within the realm of facts that are 
 genetic in character, there are those specific facts that are 
 identical with the attempts and endeavors to know — to get 
 knowledge, and, within this field, there is, again, the still nar- 
 rower group of facts that are identical with the awareness of 
 problems. 
 
 The fact of the awareness of problems does not imply, how- 
 ever, that the problems of which there is an awareness are in 
 every case real problems. Indeed, the mere development of 
 knowledge and of attempts to know oftentimes produces arti- 
 ficial problems. On the other hand, if all problems were pro- 
 duced by the very development of the attempt to know and to 
 solve them, then would there be no distinction between real and 
 artificial problems. If there are real problems, therefore, it is 
 because they concern facts and not because tbey have had, as 
 problems, a history or development. 
 
 Objective Idealism historically became aware of its problems 
 in reactive criticism of Phenomenalism and in the development 
 of the monistic, substance doctrine of Spinoza (1632-77). The 
 historical fact constituted by this reaction against Phenomenal- 
 ism was the observation of the contradictions that are involved 
 in this philosophy. 
 
 Phenomenalism is, as we have seen, the position, that the 
 ultimate nature of "things" is unhnowahle, and not merely 
 unknown, and that only appearances, or phenomena, come within 
 our ken. The position implies, however, that the unknowable 
 things-in-themselves are, nevertheless, known to be things, each 
 of which is identical with itself, all of which subsist as m^awy, 
 » Chapa. I., XIV., and XXVIII.
 
 312 SUBSTANCE PHILOSOPHIES 
 
 and at least some of which act causally on a thing-like ego to 
 produce sensations.^ Further, and inconsistently with the com- 
 pleted form in which the theory is offered for acceptance, Phe- 
 nomenalism is assumed to present a state of affairs that is reality 
 and not mere appearance, and that is neither constituted nor 
 altered by the knowing process to which it is related. 
 
 This specific problem as to the character of the relation be- 
 tween knowing and that which is known, is a real problem, and 
 Phenomenalism is one result of the attempt to solve it. How- 
 ever, in the working out of the phenomenalistic solution to this 
 problem, artificial problems arise, because of the presuppositions 
 that are made, and because of the logic that is used. For exam- 
 ple, the problem as to what "forms" or principles are inherent 
 in the mind, or in reason, is an artificial problem which arises 
 out of the assumption, that knowing involves a thing-like, 
 substance-like, spiritual self or ego. So also the problem as 
 to the continuity and discontinuity of space and time, which 
 constitutes an antinomy, is artificially produced by ignoring 
 the modern principle of order, and, accordingly, by assuming 
 the specific principle of the old logic, that the 07ily way in which 
 parts form a whole is by being related additively. 
 
 One stimulus to the development of Objective Idealism out 
 of Phenomenalism came from the observation of those contra- 
 dictions that have just been mentioned as concerning the problem 
 of knowing. This problem still persists. As involved in this 
 problem there was for Idealism the further problem, as to 
 whether the knowing could in any way, — either experimentally 
 or by an analysis in situ — be removed from that which is known, 
 so that, indirectly, perhaps, the world could be known as if it 
 ivere not known. Also there is the problem, as to what the 
 character of this "world" is, e.g., whether it is one or many, 
 and, if one, what the nature of this oneness is. 
 
 These problems are real, the attempts to solve them constitut- 
 ing a good part of the development of philosophical thinking 
 during the last hundred and fifty years. Yet these same prob- 
 lems can be reopened today as if they had never been examined 
 before, and the solutions to them compared with those solutions 
 
 * Schulze in Mnesidermts, 1792, ed. by Liebert, 1911; J. S. Beck in a 
 volume published in 1796; and Fichte in his Wiasenschaftslehre.
 
 INTRODUCTORY 313 
 
 which were given in the past. In other words, the solutions 
 of the past, and the logic that underlies these solutions, can 
 now be reviewed from the standpoint of that more thorough 
 understanding of logic which we now possess. 
 
 If we proceed from this standpoint, and in this way, we 
 discover that Objective Idealism is correct in its fundamental 
 criticism, that Phenomenalism, although it explicitly developed 
 the contradictory position, nevertheless tacitly presupposes that 
 certain "things," namely, the state of affairs concerning know- 
 ing, could be known as they really are. It accordingly follows, 
 for Idealism, that other "things," even the general character of 
 the whole universe, may also be so known.'' But, if this is the 
 case, then we have a certain "something" both known and 
 related to the knowing, and yet independent of the knowing, 
 and conversely. This state of affairs is, however, a special case 
 of the validity of the theory of external relations, namely, that 
 two terms can be related, and yet be independent of each other 
 in the sense, at least, that neither modifies or constitutes the 
 other. 
 
 This theory of relations is, in general, applicable — as we have 
 already found — to all those cases of related terms in which any 
 term can be removed experimentally, and the other terms remain 
 unaltered, or in which an analysis in situ reveals this same inde- 
 pendence. Such an analysis is illustrated by all strictly func- 
 tional relations, as, e.g., the functional relation between time and 
 motion. Motion and time are related ; but they are independent 
 in the sense that motion does not "make" time, nor time in 
 any way act causally on motion. Yet motion presupposes, and 
 is logically subsequent to time, since there would be time, were 
 there no motion. The one is the independent variable, the other 
 the dependent. Specific existential motions are correlated with 
 specific periods of time, and not with other periods, and these 
 other time periods are not correlated with those specific motions. 
 Yet their correlation with motions that can he imagined is im- 
 plied. In fact, there is no time period for which there is not 
 implied the possibility of specific motions, imagined, though not 
 existential. But in the case of all such motions, as well as for 
 
 ^ Hegel, Logic, Bk. I., i., Chaps. I. and II., and Bk. II.; also Pha- 
 nomonologie, Chap. III.
 
 314 SUBSTANCE PHILOSOPHIES 
 
 existential ones, the two terms, the motion mid the time, are 
 independent, though related. This is the logical doctrine that 
 underlies the modern scientific concept of a functional relation- 
 ship as different from the causal one. 
 
 It is a further fact, that the actual course of events experi- 
 mentally removes a specific, particular motion from correlation 
 with certain specific times; e.g., present motions are not cor- 
 related with past time periods. Thus, even in the case where 
 the motion is not existential, but imagined, the method of 
 analysis in situ shows the character of tlie relation between 
 motion and time to be one qf logical priority and of inde- 
 pendence. This means that, although the motion con always he 
 imagined to he present, it can, nevertheless, be ideally eliminated, 
 50 that we can study time and space without studying motion. 
 
 The logical situation concerning knowing and the "thing" 
 known is quite similar to that which concerns motion and time, — 
 as it is to the credit of Objective Idealism, in reaction against 
 Phenomenalism, to have discovered. That a specific knotving, 
 either existential or subsistential, is correlated with every object 
 that is known or thought of, is to be admitted. This means that, 
 although this or that knowing is eliminated by the natural 
 course of events, nevertheless all knowing cannot he eliminated 
 from known objects. But this is, of course, a truism. For, first, 
 one can argue, that, just as anything that we do actually know 
 is related to the knowing, so also would anything be that we 
 might know. Secondly, one can argue that the very attempt 
 to "get at" an object as unknown only again brings in the 
 knowing — in other words, that knowing is presupposed by the 
 very attempt to eliminate it. Thirdly, it can be argued, that, 
 even if the attempt to think away all finite knowing were suc- 
 cessful, nevertheless the knowing of an infinite being must be 
 regarded either as possible, or as imaginable, or even as neces- 
 sary. Fourthly, one may argue, that object implies subject, and 
 conversely, and then interpret subject as the equivalent of the 
 knowing process. 
 
 One, some, or all of these arguments are advanced by those 
 who are inclined to accept an idealistic (psyehistic) solution 
 of the epistemological problem. Indeed, one may put them all 
 together, and call the situation which they emphasize the ego-
 
 INTRODUCTORY 315 
 
 centric predicament. For they all find that, for one reason or 
 another, we are always in the difficulty of being unable to know 
 any entity that is not known, in order, if this be desired, to 
 compare it as unknown with it as known. Or the predicament 
 is, that we cannot escape the fact that the known world, — the 
 only world that we know — is, in every instance, related to some 
 kind of knowing. 
 
 It is very evident, however, that this predicament is not a 
 serious one, if, while the presence of knowing in relation to every 
 known object is not to be denied, it can nevertheless be shown 
 that knowing makes no difference to, and neither constitutes 
 nor alters, that which is known. Such a demonstration is iden- 
 tical with the ideal elimination of knowing by an analysis in 
 situ. But that knowing neither constitutes nor modifies its 
 object, at least in so far as it is finite knowing, is precisely the 
 presupposition that is made with regard to the knowing of any 
 state of affairs that is advanced as true by any theory. 
 
 It is this presupposition that Objective Idealism recognizes 
 in its criticism of Phenomenalism. As in the instance of any 
 functional or external relation between two terms, when neither 
 can be actually eliminated, but each is related to the other as 
 if that other were not present, so it is with the relation between 
 knowing and the known. The object is related to the knowing 
 as if the latter were not present. 
 
 It is in this way, by means of modern logic, that the ego-centric 
 predicament is solved. Indeed, the predicament is thus shown 
 not to be serious, or in fact not to be a predicament at all, but 
 only a problem, which, though real, and not artificial, is never- 
 theless solved in the presuppositions which are made in present- 
 ing any specific theory or philosophy as true, or any specific 
 state of affairs as real. 
 
 It is, now, this specific logical doctrine or principle that was 
 discovered by Objective Idealism, in its criticism of Phenomenal- 
 ism, to underlie the knowing situation. But since the principle 
 is also a logical doctrine that underlies the functional relation- 
 ship, its presence in the knowing situation means, that the relar- 
 tion between knowing and the entity known is not causal. 
 
 This discovery marked a genuine advance in philosophical 
 thought, quite analogous to the advance, in science, from the
 
 316 SUBSTANCE PHILOSOPHIES 
 
 domination of the concepts of suistance and cause to the use of 
 the concept of function. It is also a discovery which carries 
 with it the acceptance of the realistic principle in epistemology, 
 and means that Objective Idealism, as the doctrine that every- 
 thing is ultimately psychical, is quite consistent with Realism, 
 providing conclusive evidence, or correct arguments, could be 
 found for accepting this conclusion as the final verdict con- 
 cerning the nature of reality. However, it is just this evidence 
 and these arguments that are lacking, or that have, at least, not 
 been found up to the present time. 
 
 In summary, we may say, that the ego-centric predicament 
 is the name, therefore, for the specific state of affairs, that the 
 knoivn object is always related to knowing, and that it is some- 
 what difficult to find a way by which the knowing can be elimi- 
 nated. The proposition, however, that the knowing and the 
 known object are related, has important consequences provided 
 only that it is combined with some other general principle which 
 is also used as a premise for deduction. Thus, that the object 
 known, thought of, mentioned, and the like, is related to know- 
 ing, thinking, mentioning, is of consequence only provided such 
 related terms either affect one another, or demand an under- 
 lying or transcendent reality to mediate the relationship. The 
 former assumption is made by Phenomenalism ; the latter by 
 Objective Idealism. Therefore, although the two systems are 
 historically continuous with each other, they are also logically 
 distinct. Each system is based upon or is logically derived from 
 a different theory of relations.
 
 DERIVATION OF OBJECTIVE IDEALISM 317 
 
 CHAPTER XXXV 
 
 THE LOGICAL DERIVATION OF OBJECTIVE 
 IDEALISxM: CRITICISM 
 
 The problem of the unity of the universe is a real and not 
 an artificial problem, although it is open to question, whether 
 or not the specific solution which Objective Idealism gives to 
 this problem is valid or not. The universe is, undoubtedly, a 
 unity of some kind. It»is, e.g., at least one totality. But whether 
 or not it is more than this, e.g., whether it is one continuum, 
 or one organic whole, is very distinctly a further question that 
 demands the most patient and careful investigation. 
 
 However, it is a distinguishing characteristic of Objective 
 Idealism that it contends that the universe is not merely a 
 totality, or an organic whole, or a causal system, but, in some 
 way, an Absolute Unity. In this respect Idealism is Numerical 
 Monism. 
 
 This specific solution to the problem of the unity of the uni- 
 verse, Objective Idealism derives, however, not by an empirical 
 and inductive procedure, but by an a priori and deductive 
 method, in which specific consequences are inferred from specific 
 assumptions. These assumptions are identical with the postula- 
 tion of the underlying-reality theory of relations as holding for 
 the manifold and the totality of the related terms of the uni- 
 verse. And as we have already seen, this theory of relations 
 is in turn the result, historically, of the domination of the 
 concept of substance in the traditional logic and philosophy — a 
 concept which entered this tradition because of the influence of 
 the concrete, particular physical thing as the model for thinking. 
 For, to naive thought, the physical thing does, indeed, appear 
 to be one suhstance in which many qualities inhere.^ Objective 
 Idealism, therefore, represents the continued effect, on phi- 
 losophy, of the influence of this model. 
 
 Such an historical development is, however, now subject fo 
 
 ' Fiehte, Wifssenschaftslehre, trans, by Kroeger, II., ii., p. 160 f.; also 
 pp. 113, 134-139.
 
 318 SUBSTANCE PHILOSOPHIES 
 
 \, logical formulation, with the result, that a purely logical devel- 
 
 s^ opment of Objective Idealism is quite possible. 
 
 ^ In order to make such a logical presentation and development, 
 
 let us, then, assume : — 
 j/' I. There are many diverse 'HJiings" or entities revealed to 
 
 \ our experience. 
 
 II. These "things" or entities are experienced as existing or 
 subsisting as particular, individual entities, i.e., with each entity 
 itself, and not another — in other ivords, with each entity dif- 
 ferent and distinct in its individuality from every other entity. 
 
 Comment. This is one phase of the principle of identity. In 
 reference to each entity, other entities are experienced, but are 
 not it.^ 
 
 As a generalization from this experience, let us assume 
 
 III. // there is one "thing'' A, there is another "thing" B 
 that is not A, i.e., that is non-A in its individuality — in other 
 
 ■ ^- words, let us assume that, as we think and know A, ive can also 
 
 % think and know non-A. 
 
 ^ Comment. This is the way in which the principle of contra- 
 
 diction is derived empirically, although it has come to be re- 
 garded, in the traditional logic, as a law that is resident in the 
 mind, or in the thinking process itself, and, therefore, as a 
 
 A-^' law in accordance with which we must think on the ground 
 that an active entity must act in accordance with its own nature.' 
 Accordingly, let us assume, further, that 
 
 IV. The many "things" that we experience are related in 
 many specific ivays, and, among these ways, by the relation of 
 implication, whereby any entity A necessitates {the being of) 
 
 ' its contradictory non-A, so that, for any entity, A, its contra- 
 ^^y^ dictory, non-A, must be thought.^ 
 ^/^ Finally let us assume that 
 
 V. // one entity necessitates the being of another entity, the 
 two entities are inseparable, and 
 
 ' I. and II. are admitted by Fichto, Sohplling, Hegel, Schopenhauer, and 
 in fact by all their followers and predecessors among objective idealists. 
 I. and li. merely postulate the " world " to be explained. See Hegel, 
 Logic, I. and II., pp. 120-177. 
 
 ' Fichte, Wissenschaftslehre, trans., pp. 159 and 275; Hegel, Logic, II., 
 pp. 57-fi2. 
 
 * Fichte and Hegel, ibid. On Hegel's Principle of Contradiction, see 
 J. B. Baillie, Hegel's Logic, 1901.
 
 DERIVATION OF OBJECTIVE IDEALISM 31£h 
 
 VI. // any two entities are inseparable, they in some way 
 form a unity. 
 
 From these assumptions we can now draw certain conclu- 
 sions : — 
 
 Experience gives as a datum the manifoldness of the "things" 
 experienced, and therewith, also, the individuality of each 
 entity in its distinctness from others ; i.e., as regards the indi- 
 viduality of any entity A, any and all other entities are experi- 
 enced as non-A. From this experience there is derived not only 
 the generalization, that, if A is, non-A also is, but also the 
 principle (whether justifiably or not, is a question) that, if A 
 is, 71071-A must also he. But many entities are experienced — in 
 many relations. Yet, whatever the specific character of the 
 relation may be, nevertheless, since a relation by its very nature 
 holds between at least two terms, each of which is that par- 
 ticular individual term, and not the other, or another term, all 
 other relations rest on the specific relation of contradiction, 
 A R non-A. But this relation is one of necessity, i.e., it is one 
 whereby if A is, also non-A must he, or, if non-A is, also A must 
 he. But this means, that, since A and non-A are inseparable and 
 therefore form a unity, any and all related terms are also in- 
 separable and form a unity — whatever the specific character of ^ 
 either the terms or the relations may be. 
 
 This is the key to the logical derivation of Objective Idealism. 
 There are many "things" and many relations. But, whatever 
 the relations and whatever the "things" may be, all other rela- 
 tions and all other "things" can be "translated" into the 
 "form" of, and are based on, the relational complex, A B non-A. 
 In this complex, each term necessitates the other, the two terms 
 are inseparable, and "somewhere" in the complex there is ahso- 
 lute unity. 
 
 The question next arises, *' Where" is this unity — or, what is 
 its locus f And the answer is, that the unity cannot be at the 
 ''level" of A and non-A, since they are two, i.e., many, and not 
 one. Therefore the unity must be at a "level" that is distinct 
 from the "level" of the manifoldness, A R non-A, and that may 
 be figuratively described as either "underlying" or "transcend- 
 ing" such a level. 
 
 In critical comment on this argument it should be remarked
 
 S20 SUBSTANCE PHILOSOPHIES 
 
 \ that that particular phase of the principle of contradiction which 
 . f. the argument employs is one that is only formal, and, therefore, 
 ^^' ^ one that involves no overwhelming diiificulties or damaging con- 
 ^A ^f sequences. "Contradiction" has been previously examined,^ with 
 the result that it has been found to mean, or to be identical 
 with, exclusion. In the case of terms this "condition" or relation 
 ** obtains, if the terms are the correlative species (or individuals) 
 
 of a (common) genus; i.e., it is such species (or individuals) that 
 exclude one another into some kind of distinct loci, and that are, 
 therefore, contradictions. For example, while in reference to 
 red, not-red denotes everything else than red, nevertheless, 
 among these other "things," it is only other colors that are 
 excluded from coexistence with a particular specific red that 
 exists at a particular time and place. A particular red can, 
 however, coexist with a particular specific extension, solidity, 
 smoothness, and the like. None of these characteristics excludes 
 the others, and yet each in its individuality is different from 
 each of the others, and these others in relation to any specific 
 one are not that one, and are, thus, its negative. Accordingly, 
 if this negative is interpreted as a contradictory, it is merely 
 a formal contradictory, and as such a contradictory that is quite 
 harmless. 
 
 It is evident, therefore, that Objective Idealism, in deriving 
 a theory of relations hy ivhich to interpret all relations, especially 
 that between the knowing and the known, employs a special 
 phase of the principle of contradiction, namely, one that is only 
 formal. The plurality of the "things" of the universe is a fact, 
 and all other "things" in reference to any one positive "thing" 
 can be characterized negatively. But the experience of the posi- 
 tive ''thing" precedes its negative characterization, and this 
 latter step really takes us no further than does that upon which 
 it depends, namely, upon the empirical, matter-of-fact experi- 
 ence of a plurality of different "things." 
 
 Nevertheless, the negative characterization is made to go much 
 further by this Hegelian development of the traditional logic, 
 and by the Idealism that is based upon this. That which is 
 a positive "thing" is made a negative one that is to be necessi- 
 tated or implied by, and that is also to be inseparable from, that 
 
 ' Chap. XVI.
 
 DERIVATION OF OBJECTIVE IDEALISM 321 
 
 which is another positive "thing." Therefore, any term with 
 its negative is held to form an unimpeachable unity, so that, if 
 there are two terms which are inclusive of all positive fact, an 
 all-inclusive unity is easily derivable. 
 
 To attain to such a unity is, however, the chief motive of 
 Objective Idealism, and, by the argument thus far offered, one 
 seems to be far on the high road to success. Indeed, the pres- 
 entation of the next step in the argument will make it seem 
 that the goal has been reached, and that, finally, there stretches 
 out before the eye of the intellect the panorama of a universe 
 that in the midst of its manifoldness is Absolute One. 
 
 To obtain this view it suffices, if possible, to find a pair of 
 terms which not only necessitate each other's being and form 
 a unity, but which also are all-inclusive, i.e., are inclusive of 
 all that is fact. At first sight any pair of contradictory terms, 
 as, e.g., A and no7i-A, or this pen and not-this-pen, might seem 
 to be and may in fact be such a pair. Yet there is the objection 
 to this possibility, that, over and above the two contradictory 
 terms of such a pair, there is always a third "something," 
 namely, a knowing or cognition (of the pair) that is not included 
 by those terms. Accordingly, in order to arrive at a pair of 
 terms that is absolutely all-inclusive, it would seem to be neces- 
 sary to take, not any pair of contradictories, such as the pair, 
 this pen and not-this-pen, but only such a pair as will also include 
 knowing or cognition. 
 
 However, knowing or cognition may itself, in any specific 
 instance, stand in the relation of object, or "thing" known, in 
 or to a specific knowing, as is illustrated by the series, I know 
 that I know that I know that, e.g., A necessitates non-A. Seem- 
 ingly, therefore, in order to arrive at a pair of contradictories 
 that is absolutely all-inclusive, one of the terms of the pair must 
 be, not merely any knowing or cognition, but only a knowing 
 or cognition that is never object, and thus always only subject. 
 Such an entity would, however, seem to be the term knower, 
 since, in any specific act of knowing, the knower would seem 
 never to be the known, the subject never the object. 
 
 This recognition that there is in the case of the series, I know 
 that I know, and so on, a knower that is not "at the same time" 
 a known, is very evidently only a special phase, again, of that
 
 322 SUBSTANCE PHILOSOPHIES 
 
 ego-centric predicament which is always so basic for all Idealism. 
 Evidently knowing is itself no exception to the rule, that known 
 objects are in relation to a knowing. However, that very special 
 phase of the predicament which is emphasized and used by Ob- 
 jective Idealism in its basic argument is, that in the knowing 
 situation there is always present one term, namely, the knower, 
 which, since it as such is never the known, forms, together with; 
 the known, an all-inclusive pair of terms. This pair is, knower [ 
 and known, or, negatively, knower and not-knower, self and 
 not-self, and the like. Accordingly that special phase of the 
 ego-centric predicament which is thus emphasized may be stated 
 in the form of a postulate, that 
 
 VII. The specific relational complex which is identical with 
 the pair of contradictory terms, subject and not-suhject (object), 
 or knower and known, or self and not-self, or ego and non-ego, 
 is inclusive of all that is reality. 
 
 From this postulate, together with the other postulates, the 
 demonstration, that the universe is One as well as many, is quite 
 without difficulty. 
 
 Contradictory terms necessitate each other's being, — are, 
 therefore, inseparable, — and, therefore, form a unity. But the 
 unity must be at a different level from that of the terms, since 
 these are two. But, also, self and not-self (and the like) are 
 a pair of contradictories that "include" the universe. There- 
 fore, for this pair, and so for the universe there is a unity, — an 
 Absolute Unity — that is implied in the very "essence" of 
 the relationship between the terms, and that mediates that 
 relationship. 
 
 Such a demonstration ^ is identical, briefly, with deriving con- 
 
 • This demonstration is found in Fichte all through his Wissenschafts- 
 lehre, Werke, Vols. I. and II. It is repeated in many forms and ways, 
 and one reference is as good as another. It is also found in Schelling, 
 System des transc. Idealismus, Werke, III., I., p. 600, but especially in 
 " Vom Ich," Werke, I., i., § 10, p. 100; in Hegel, Encyclop., § 194 et seq., 
 Werke, Vol. VI., and in the first two books of the Logic; in Schopen- 
 hauer, trans., The World as Will and Idea, pp. 142-140. 
 
 As further confirming the writer's position that this derivation is the 
 essence of Objective Idealism, the following quotations are given: — 
 
 The first quotation is from the English philosopher, T. H. Green, Works, 
 Vol. 111., p. 4r). Green says: — 
 
 " To assume, because all reality requires thought to conceive it, that 
 therefore thought is the condition of its existence, is, indeed, unwarrantable. 
 But it is another matter, if, when we come to examine the constituents
 
 DERIVATION OF OBJECTIVE IDEALISM 328 
 
 elusions from the underlying-reality theory of relations as ap- 
 plied to such specific complexes as knowing and known, self and 
 not-self, which are inclusive of all that the universe is, not 
 excepting the knoiver to whom that universe is related in the 
 situation of its being a known universe. Accordingly, it is 
 either from those postulates which have thus far been made, or 
 from the underlying-reality theory of relations which those 
 postulates form, or to which they lead, that, together with the 
 all-inclusive pair of related terms, knoiver and known (not-the- 
 knower), it seems to be possible to demonstrate with absolute 
 logical rigor that the whole universe is Absolute One. 
 
 This conclusion is identical with one result which it is the 
 dominant motive of Objective Idealism to obtain, and forms one 
 necessary step in the demonstration, which Idealism would make, 
 that the universe is ultimately spiritual in character. Never- 
 theless, it is a conclusion that is itself not sufficient to establish 
 this position, since the proposition that the universe is Absolute 
 One does not imply that it is also spiritual. 
 
 Accordingly, in order to demonstrate that the universe is of 
 this specific character, it must be shown, if possible, that the 
 only instance of a oneness which holds together a manifold of 
 related terms (themselves possible manifestations of such a 
 one) is a self, a knower, or a spiritual being. If this demonstra- 
 tion can be made, then, by stating this sole condition in the form 
 of a specific postulate, it is possible logically to develop Nu- 
 merical Monism into Objective Idealism. Yet, on the other hand, 
 if this demonstration cannot be made, i.e., if one can find other 
 instances of an absolute oneness in the midst of a plurality, e.g., 
 a material substratum in the midst of physical properties, then 
 
 of that which we account real, we find that they all imply some synthetic 
 action which we only know as exorcised by our own spirit. Is it not 
 true of all of them that they have their being in relations; and what 
 other medium do we know of but a thinking consciousness in and through 
 which the separate can be united in that way which constitutes relation? 
 We believe that these questions cannot be worked out without leading 
 to the conclusion that the real world is essentially a spiritual Morld, which 
 forms one interrelated whole because related throughout to a single 
 subject." 
 
 The second quotation is from the English philosopher, Edward Caird, 
 who says, in his Evolution of Religion, p. 67: — 
 
 " Subject and object are the extreme terms in the diflference which is 
 essential to our rational life. Each of them presupposes the other, and 
 therefore neither can be regarded as producing the other. Hence, we are
 
 324, SUBSTANCE PHILOSOPHIES 
 
 some other form of Monism is as readily derivable as is Objective 
 Idealism. 
 
 From this it becomes clear that whatever more specific phi- 
 losophies are developed from the postulates and conclusions thus 
 far presented, depends, not upon discovering the further im- 
 plications of those postulates and conclusions, but upon making 
 further specific, independent postulates. Such postulates con- 
 cern either the nature of Absolute Oneness as such, or, if this 
 Oneness is assumed to be spiritual in character, because the ego 
 or self is regarded as the best example of it, they concern and 
 must assert some specific characteristic as the dominant phase 
 of that which is spiritual. Accordingly, just as Idealism is 
 derivable from generic Monism on the assumption that an Abso- 
 lute One can be only spiritual, so also are such specific phi- 
 losophies as Theism, Pan-logism, and Ethical and Romantic 
 Idealism derivable by assuming the dominant character of the 
 
 compelled to think of them both as rooted in a still higher principle, 
 which is at once the source of their relatively independent existence and 
 the all-eml3racing unity that limits their independence. To put it more 
 directly, the idea of an absolute unity, which transcends all the oppositions 
 of finitude, and especially the last opposition which includes all others — 
 the opposition of the subject and object — is the ultimate presupposition 
 of our consciousness." 
 
 A still more striking statement is made by Professor Mary W. Calkins 
 in her Persistent Problems of Philosophy, p. 418 f.; Professor Calkins' 
 formulation of the argument for Absolute Idealism is: — 
 
 "I. Ultimate reality is no absolute plurality; it does not consist in 
 a plurality of utterly disconnected units. For we directly experience 
 relations and connections; every one of these supposedly discrete, distinct 
 'units' is both comparable with and dependent on other units: it implies 
 others in being itself distinct, and it is connected with others by virtue 
 of their all existing." 
 
 " 11. But ultima' reality is, therefore, no mere manifold of units which 
 are both distinct and yet related. For absolute distinctness and related- 
 ness are mutually exclusive predicates. If the units remain entirely 
 distinct, they are, then, distinct from the relations as well as from each 
 other; in other words, the relations themselves become mere unrelated 
 units. So long as the units are, by hypothesis, distinct, so long the 
 supposed relations fail to relate. But relation is experienced, it is immedi- 
 ately known to exist. Hence the alternative, entire distinctness, must 
 be abandoned. There results the conception of ultimate reality, not as 
 mere including system, but as relater of its parts, not as mere one-of- 
 many, hut as uni(iue Individual. Each one of us has in his consciousness 
 of self the example of a unicjue being which is a one-of-many." 
 
 " III The conclusion that ultimate reality is an Absolute, — that the 
 irreducible nature of the universe is self, — gives, as the final outcome of 
 philosophy, the conception of ultimate reality as absolute self." 
 
 Another example, making practically the same explicit presentation of 
 points as does the [ireceding (juotation, and again illustrating the fallacious 
 procedure just discussed, is found in Taylor's Elements of Metaphjsics: —
 
 DERIVATION OF OBJECTIVE IDEALISM 325 
 
 Spiritual One that underlies the universe to be God, or Intellect, 
 or Conscience, or Life. 
 
 It is, then, to the examination of these more specific Monisms 
 that we now proceed. 
 
 One specific Monism is derived by finding, among the many- 
 entities that experience reveals, a specific and certain concrete 
 instance of an entity that is an absolute one — simple, undivided, 
 and indivisible — and that is not merely an organic whole, which, 
 while it is one, is also many. Such an entity, it is maintained, 
 is given in the instance of the unity of the personality, of the 
 ego or self,'' or of the soul. For, it is maintained, while the 
 manifold of ideas, emotions, acts of will, and the like, come and 
 go, — appear and disappear — the personality, the self, the ego 
 remains. Such a persistence of the personality, or of the self, 
 
 " We may conveniently attempt to construct our own theory of the 
 One and the Many by first excluding views which appear mistaken in 
 principle, and thus gradually narrowing the issues. Among these mis- 
 taken views I am forced to reckon all forms of consistent and thorough- 
 going Pluralism. Pluralism begins by misapprehending the facts upon 
 which it professes to base itself, and ends by giving an interpretation of 
 them which is essentially irrational." " Any genuine Pluralism must be 
 resolute enough to dismiss the idea of a systematic interconnection between 
 its independent realities as an illusion of the human mind." 
 
 " We seem driven, then, to reject the view that the ordered world of 
 experience can be the expression of a plurality of ultimately distinct and 
 heterogeneous principles. Because the world as known is an orderly 
 system, and on any other supposition coherent knowledge is impossible, 
 tiie world must be regarded as the complete embodiment and expression 
 of a single ultimate principle." 
 
 " The world for knowledge must be an orderly whole or system. To 
 be a system at all, it must be the development or expression in detail 
 of a single principle. Therefore it must most certainly be one. But 
 again, because it is a system, it cannot be a mere unit; it must be the 
 expression of a single principle in and through a multiplicity of terms 
 or constituents. To think of the world as a single systematic unity, then, 
 means to think of it as a manifestation of one perfectly determinate 
 principle." 
 
 " We may take a further most important step forward. In the all- 
 embracing systematic whole the unity and the multiplicity must be equally 
 real and each must be real through the other. How is this possible? 
 Only on condition that the whole system forms a single experience and 
 that the constituent factors again are single experiences." " It would 
 be much the same thing if we called it a subject which is the unity of 
 subordinate subjects " Chap. II., pp. 87-99, passim. 
 
 All these quotations wire first given in mv paper, " The Logical Struc- 
 ture of Self-refuting Systems," Phil. Revieir, Vol. XIX., No. 6, pp. 610-631. 
 
 ''E.g., all through Fichte's Wisse^ischaftslehre (see the translation), 
 also in Kant's doctrine of the transcendental ego, and in Berkeley's posi- 
 tion that the spirit is numerically single (see Chap. XXX).
 
 326 SUBSTANCE PHILOSOPHIES 
 
 is held, further, to be explicable only on the ground that the 
 self is an absolute one, and not many — even as an organic 
 whole. For, it is argued, that which is many can be disin- 
 tegrated in respect to its manifoldness and cease to &e. And, 
 further, it is contended that the absolute unity of the personality, 
 of the ego, or of the self, is given to introspection as an imme- 
 diate, undeniable fact. 
 
 From such an instance of an absolute unity in the midst of 
 plurality — a unity, also, that binds the many together into one — 
 the argument is readily obtained, that, if the universe can be 
 proved to be an absolute one, as well as many, then this oneness 
 must also be of the nature of personality, or of self. For, it 
 may be inquired, where else is a concrete instance of absolute 
 oneness discoverable? Is not the self, the ego, the only instance 
 of this that comes to our experience ? 
 
 In comment on this argument it may be inquired, whether it 
 is not possible that the view, or even the experience, that there 
 is an absolutely unitary self, ego, or soul, is not itself a product 
 of the same tradition ® that results in the view that the universe 
 is absolutely one. In other words, may there not be a tradition 
 in which there is borne that logic which demands absolute one- 
 ness in the midst of plurality, and which leads to the interpre- 
 tation of one instance of such oneness, as demonstrable for the 
 universe, by analogy with another instance, originally demon- 
 strable, e.g., in Plato — but later incorporated in the tradition 
 as orthodox belief and even self-evident fact as regards the 
 nature of the self. -^i^- 
 
 Whether this inquiry be answered with ''yes" or with "no," 
 it is, nevertheless, an historical fact in the development of 
 philosophical theories, that for the interpretation of the nature 
 of the unity of the universe, recourse has been had to an ego, 
 a soul, or a personality that is itself regarded or experienced 
 as absolutely unitary, and as uniting the manifold of the experi- 
 ences of each personal life into the continuity of a single flow. 
 Indeed, is not this the only "thing" that such a One — of the 
 universe — could be ? For, does not the realm of physical entities, 
 as known by modern science, fail to present an analogy that 
 
 ' The Ariatott'lian. with its niorU'l of the physical thing defined as $k 
 unitary substratum in which qualities inhere.
 
 DERIVATION OF OBJECTIVE IDEALISM 327 
 
 serves such a purpose? For example, atoms are, at best, only 
 either organic unities or mechanistic systems of electrons, and 
 one electron does not unite others — the atom being only the unity 
 of electrons in relation, with no empirically found entity, over 
 and above the relations, to mediate their unity in an atom. 
 Quite the same ''state of affairs" holds also for molecules, par- 
 ticles, cells, organisms, and the like. These are unities, but in 
 so far as they are this, their unity is found empirically to con- 
 sist in their organization and the constancy of the relations that 
 generate this organization, and not in the mediation of an abso- 
 lutely simple and underlying one. Therefore, if appeal is made 
 to the realm of physical entities for a basis for the analogy we 
 are seeking, the only possibility of success lies in the instance 
 of the particular physical thing as this has been defined in the 
 tradition and is accepted in common sense even today — namely, 
 as a unitary substratum in which qualities inhere. To interpret 
 the Oneness of the Universe after this analogy results, however, 
 in what is termed Materialism — a position that usually arouses 
 only the most vehement abhorrence. And yet it may be asked, 
 What, logically, is the difference between this position, which 
 finds a single substratum to the universe, and calls it Matter, 
 and that position, which, though calling itself Idealism, finds 
 a psychical substratum to the universe on the ground of an argu- 
 ment that springs from a tradition in which the physical thing 
 has been the dominant influence on philosophy and logic? For, 
 as we have seen, it is the physical thing, defined as a substratum 
 in which qualities inhere, that dominates the Aristotelian tradi- 
 tion,^ and, accordingly, also, the views that develop in this tradi- 
 tion, particularly the views that in the human personality there 
 is a substance-like self or ego, and, in the universe, a substance- 
 like One, — with this One interpreted after analogy to the human 
 soul. If such a philosophy — of a world substratum — has this 
 origin, then, although it be called Idealism, does it differ 
 logically from Materialism, and does the function of its one 
 universal substratum differ from the function of that substratum 
 which Materialism also finds for the universe? 
 
 The answer is obvious. And yet it is maintained by many — 
 as well illustrated by Berkeley — that the material substratum 
 • Cf. Chaps. III. and XXVII.
 
 328 SUBSTANCE PHILOSOPHIES 
 
 of the physical thing is not so certainly given to sense experi- 
 ence as is the spiritual substratum of the finite self given to 
 reason and to introspection. Therefore, with it demonstrated 
 that there is a Oneness — a Substratum in the Universe, this is 
 interpreted after the analogy with the latter rather than with 
 the former possibility, so that the One Substratum of the uni- 
 verse, whose function it is to hold all entities together, and to 
 mediate all relations, is inferred to be a World-Soul, or World- 
 Self, that is psychical, and not material or physical in nature.^** 
 
 CHAPTER XXXVI 
 DEVELOPMENTS OF OBJECTIVE IDEALISM 
 
 I. THEISM AND PANTHEISM 
 
 But, with the conclusion of the foregoing chapter once 
 reached — logically, as just presented, historically, through the 
 alliance of philosophy and theology, — there lies ready at hand, 
 as suggested by the dominant interest of the religious conscious- 
 ness, the further specific conclusion, that a World-soul, AVorld- 
 self, or World-personality is identical with God, in Whom all 
 "things" in some manner have their being, Who mediates be- 
 tween all "things," thus, perhaps, to insure order, design, and 
 purpose in the universe, and Who is identical, in the highest 
 degree, with that to which we ascribe highest worth, namely, 
 personality. 
 
 With this conclusion once reached. Objective Idealism is, 
 however, in a position to become the orthodox apologetic for 
 Christian theology, notwithstanding that its tendency is away 
 from Theism and toward Pantheism. 
 
 "This is essentially the position of all the objective idealists, although 
 there arc minor differences as to whether such a Being is personal or 
 impersonal, etc. fSee, e.g., Hegel, Lofjik, Werke, III., i.. Chap. I.; Encyclop., 
 (Jhap. IV., § 51; Phil, of Religion, trans., III., p. 355 et passim.
 
 DEVELOPMENTS OF OBJECTIVE IDEALISM 320 
 
 Theism is the position either that God is apart from the uni- 
 verse, or that, if the universe is God, He is more. For the first 
 kind of Theism, God is either the creator of the universe, or 
 its designer, or at least an active, concrete principle in it that 
 "makes for righteousness"; for the second kind of Theism, God 
 is immanent in the universe, and yet is of a different order of 
 reality from the universe, in that He is both the mediator and 
 relater of its parts, and the essence of these parts in which He 
 manifests Himself, although always as a great reserve source 
 which is more than its manifestations. Yet, if we raise the 
 question. How God can thus manifest Himself, the answer takes 
 us in the direction of Pantheism. For, if God but orders and 
 relates things that exist apart from Him, then is He at best 
 only a designer and mechanician; also, "things" are related 
 to Him, so that we again have the problem of the mediation of 
 this rclatedness. Also, if God is regarded as the creator of the 
 universe ex nihilo, then is our power to conceive this baffled. 
 For, how can something be "made" from nothing? And if it 
 cannot, then must God's creation be but His manifestation in 
 the sense that this is identical with an emanation from and a 
 transformation out of Him, with the result, not only that He 
 is relater and designer, but also that He is all "things" and 
 that all things are God. 
 
 This position is Pantheism. Into it Theism very naturally 
 and very logically develops. But, underlying both these the- 
 ological positions are the fundamental logical postulates on 
 which Objective Idealism is based, namely, that terms in rela- 
 tion demand and imply a unitary being which transcends, yet 
 manifests itself in the terms, and mediates the relations between 
 them. Such a unitary being is, in the specific Monism under 
 consideration, first identified with a World-self, or World- 
 personality, and then with God, with the logical result, that 
 all "things" are psychical or spiritual in character — even those 
 that seem most persistently to withstand such a "reduction," 
 as, e.g., do the entities of the physical universe. 
 
 II. PANLOGISM AND ETHICAL IDEALISM 
 
 Conclusions very generally similar to those just presented are 
 found in a number of other monistic psychisms that differ in
 
 830 SUBSTANCE PHILOSOPHIES 
 
 respect to what is accepted as the dominant character of the 
 Absolute One, while, in turn, what is regarded as such a char- 
 acter is conditioned by the position that is taken as to what 
 is the fundamental character of the finite human self; i.e., 
 according as this finite self is found to be predominantly an 
 intellectual and logical self or ego, or an ethical being that 
 follows the dictates of conscience, or, possibly, a beauty-desiring 
 soul, so is the Absolute Self regarded as being predominantly 
 one or the other of these characteristics. Thus, e.g., it can be 
 demonstrated — by analogy — that that Being which is the One 
 of the universe is primarily an intellectual Being, the logical 
 laws of whose mind are the basic principles of all that exists 
 and subsists. This specific form of Objective Idealism is 
 Panlogism.^ 
 
 But also, by a different specific analogj^ it can be demon- 
 strated that the One is predominantly both a conscience that 
 inherently respects the principles of right, a tvill that purposes 
 and contrives to accomplish ends, and an intellect that adapts 
 means to ends.^ By thus appealing to the analogy of the finite 
 self or ego, and emphasizing the ethical consciousness as the 
 fundamental feature of this ego, the psychical monist is able 
 to maintain that the universe is an ethical system, the funda- 
 mental laws of which spring from or are identical with the 
 dominant ethical characteristics of an absolute Ego. 
 
 The argument for such an absolute ethical Idealism is some- 
 times buttressed by an appeal to Phenomenalism. This phi- 
 losophy, as we have seen, tacitly makes the finite self a psychical 
 substance that is in causal interaction with things-in-them- 
 selves, the logical outcome of this assumption being, that know- 
 ing modifies the object-to-be-known. Yet, inconsistently with 
 this implied result. Phenomenalism maintains that the nature 
 of the finite self is quite knowable, — namely, by means, first, 
 of discovering those principles which we must think, and then, 
 secondly, of accounting for this necessity on the ground that 
 such principles are identical with the finite self's own inherent 
 nature, which nature it cannot contradict. These principles, in 
 accordance with which we must think, are ways in which we 
 
 ' The position, e.g., of Hegel, Bradley, and, I should say, of Royce. 
 " Fichte, Miinsterberg.
 
 DEVELOPMENTS OF OBJECTIVE IDEALISM 331 
 
 relate "things," and it is by virtue of relations that the uni- 
 verse is a system. Briefly, therefore, in accordance with Phe- 
 nomenalism, the system of the universe presupposes an ego which 
 thinks in accordance with certain principles which are the laws 
 of the ego's own nature; or, conversely, a suhstance-like ego, 
 thinking in accordance with its own nature, relates otherwise 
 unrelated "things," and thus makes the universe a system.^ 
 
 Let us, now, from the standpoint of this position, and with 
 the main argument for Objective Idealism still in mind, inquire 
 what the universe would be, if there were no finite egos. Would 
 it not be only a chaos, or a mass of unrelated "elements"? Let 
 us next assume just this chaos, and then ask. Whereby would 
 such a chaos become a cosmosf The answer to this inquiry is 
 evident. It is, namely, that, with a cosmos depending on know- 
 ing, or on a knower, and with it quite conceivable, e.g., from the 
 standpoint of the empirical sciences, that no finite knowers 
 should exist, there must be a trans-finite, or infinite, absolute 
 knowing or knower, who relates all the otherwise unrelated terms 
 of the universe, and in whom the principles of such "related- 
 nesses" inhere, even as the qualities of a physical thing seem 
 to inhere in a material substratum. 
 
 Untrue, then, to its criticism of Phenomenalism, namely, that 
 this position implicitly presupposes the possibility of genuine 
 knowing, and yet explicitly denies this, Objective Idealism uses 
 the phenomenalistic doctrine, that the ego or self is relater, in 
 order to demonstrate that the Absolute One is an intellectualistic 
 or logical ego whose function it is both to mediate all relations 
 and to relate. 
 
 This position is very modern monistic and idealistic doctrine.* 
 It is maintained, that to know is to systematize, and then, from 
 the facts (1) that the universe is a system — a cosmos, and (2) 
 that finite egos are conceivably non-existent, the conclusion is 
 derived, that the system of the universe implies an Absolute 
 Ego or Self, that is Absolute One. 
 
 In criticism of this argument, it may be said, that while it \ 
 
 ' For this position see Joachim. The Nature of Truth, pp. 78, 114; T. H. 
 Green, Prolegomena to Ethics; Watson, The Interpretation of Religious 
 Experience ; Taylor, Elements of Metaphysics, Chap. II., § 4, et seq.; 
 Royce, World and Individual, p. 341 f. 
 
 * See note 3; also the quotations given in Chap. XXXV.
 
 332 SUBSTANCE PHILOSOPHIES 
 
 may be granted that the universe is a system, the monistic 
 conclusion just presented follows from this admission only on 
 the condition that a certain specific assumption is made, namely, 
 that, if terms are in specific relations to one another, the fact of 
 this relatedness implies a transcendent, unitary, and mediating 
 being. Without this postulate, and with an opposed postulate, 
 the monistic conclusion does, however, not follow. For, granted 
 that the universe is a system, and, therefore, a manifold of 
 terms in relation, then, whatever specific type of system the 
 universe may be, it is quite possible, that relations themselves 
 "do the work" of uniting terms, and furnish the universe with 
 all the unity that it has. This unity, and, therefore, the system 
 of the universe may be any one of those types that are distin- 
 guished as, e.g., organic, causal, continuous, discontinuous, and 
 the like, without being an absolutely simple One. That the 
 universe is such a One follows only from a specific postulate. 
 But this postulate is one that is not only not necessarily true — 
 although it may be true — but that is also open to the criticism 
 that it is self-contradictory in its implications, as we have previ- 
 ously seen. 
 
 In further criticism of the argument that is under considera- 
 tion, it may be inquired, whether the position that all terms 
 or "things" would be unrelated were it not for the agency of 
 an Absolute One to relate them, does not itself presuppose its 
 contradictory; i.e., does it not presuppose (1) that, before such 
 a One could exercise its activity in relating, "things" would 
 be distinct from it, even though "things" are its manifestations; 
 and (2) that, as thus distinct, "things" would be either similar 
 or dissimilar to that which relates them; and (3) that, accord- 
 ingly, certain relations, namely, those of similarity or of dis- 
 similarity, would be independent of a relater. But, if there are 
 some relations, — such as these, that are not "instituted" by an 
 Absolute One as relater, other, in fact, all other relations may be 
 similarly independent, so that, if there be an Absolute One, such 
 a being does not function as the relater of the terms or "things" 
 of the universe. 
 
 These criticisms, however, are either ignored or not accepted 
 by the objective idealist who derives his position by the argu- 
 ment that has just been given, and to whom, of course, that
 
 DEVELOPMENTS OF OBJECTIVE IDEALISM S33 
 
 argument is quite convincing. The result is, that, with it once 
 regarded as established, that there is an Absolute Knower upon 
 whom the system of the universe depends, support for an 
 ethical idealism and monism is obtained from the further phe- 
 nomenalistie position, (1) that there are two *' worlds," the one 
 consisting of interacting things-in-themselves and substance-like, 
 finite egos, the other, of the causal results of this interaction, 
 these results being called phenomena, and (2) that phenomena 
 in turn are of two kinds, the one kind being psychical, as the 
 result of the action of things-in-themselves on finite egos, the 
 other kind, physical, as the result of the action of finite egos, 
 with their laws, on things-in-themselves. Since, now, an effect 
 owes its character both to the "thing" acting and to the "thing" 
 acted upon, both psychical and the physical phenomena bear 
 the "marks" of such principles as cause and effect, necessity, 
 and the like, and in this respect both realms are causally de- 
 termined. But, further. Phenomenalism, although it tacitly 
 presupposes the contradictory, explicitly teaches the doctrine of 
 the unknowableness of things-in-themselves. Accordingly, it in- 
 fers, that, since these entities are not known to he determined, 
 they are known not to he determined, so that, it is further 
 inferred, they furnish opportunity for freedom — in the sense, at 
 least, of the absence of causal determination. 
 
 Phenomenalism and Objective Idealism both make use of this 
 conclusion in order to establish an Ethical Idealism.^ For, it is 
 argued, that, on the one hand, to hold a man responsible and 
 justifiably punishable for his acts, is impossible unless he is 
 free ; but, on the other hand, as a member of both the psychical 
 and physical worlds in which every event is caused and deter- 
 mined, a man is not free ; his every motive, every act, every 
 apparently free choice is, in reality, only the causal result of 
 previous acts and, finally, of heredity and environment. This is 
 the conflict. On the one hand there is the ethical demand that 
 man shall be free, while, on the other hand, there is the nat- 
 uralistic conclusion, that man is in all respects only a link in a 
 inflexible causal chain of heredity, environment, and previous 
 growth and development. 
 
 This problem is regarded as solved by the phenomenalistic 
 
 • Fit'hte, in agreement with Kant; see Chap. XXIX.
 
 334. SUBSTANCE PHILOSOPHIES 
 
 hypothesis, that, if man is a member of two worlds, namely, 
 those of things-in-themselves and of nature, then freedom may 
 exist in the former, causal linkage in the latter, with the scien- 
 tific knowledge of the ''world" demanding this (causal) deter- 
 mination, and the introspective deliverances of conscience con- 
 firming the freedom. For, although the regarding ourselves as 
 free may be the hypostatization of our ignorance of those de- 
 tailed causes that really compel us to do whatever we do, and, 
 also, although the conviction that we are free, whether this be 
 the fact or not, might have the same outcome in our conduct 
 ■as would real freedom, and be quite as valuable ethically, never- 
 theless it is a fact that our introspection tells us that we are 
 free. Conscience implies free action, and this in turn is found 
 only in the realm of things-in-themselves — for Phenomenalism. 
 Therefore may this realm be, in its real essence, of the very 
 nature of conscience itself, known, not by sensation, nor by 
 intellect, but in moral consciousness and feeling. 
 
 Then the interesting question arises, if the Absolute One, 
 Mediator of all relations, Manifestor of all appearances, Source 
 of all those results which are mutually dependent upon and 
 relative to one other, Uniter of all-inclusive self and not-self in 
 the act and implications of knowledge, may not itself be of the 
 nature of conscience, or of an active, vivifying moral law? The 
 answer of the ethical monist to this question is not "may," but 
 "must," and thereby is the easier argument hy analogy but- 
 tressed by this more complicated argument from Kantian Phe- 
 nomenalism. But, since the position is thus a derivative both of 
 this Phenomenalism and of Monism, it stands or falls with these 
 two positions, and is thereby doomed to failure.
 
 FURTHER DEVELOPMENTS OF IDEALISM S35 
 
 CHAPTER XXXVII 
 
 FURTHER DEVELOPMENTS OF OBJECTIVE IDEALISM 
 
 I. VOLUNTARISM 
 
 If the Absolute One be a self or ego, and if, as a self or ego, 
 it be primarily a conscience, then is it also Will. Thus is 
 Ethical Monism also Voluntarism. Intellectually, conscience is 
 that faculty, either complex or simple, to which there are pre- 
 sented ends to be accomplished, means to these ends, and ideals 
 or standards under which both ends and means are subsumed 
 as either good or bad, right or wrong. Emotionally, on the 
 other hand, conscience is that faculty which can only prefer the 
 good to the bad, the right to the wrong, and which is itself the 
 innate respect and reverence for the one, and the abhorrence of 
 the other. This immanent and "natural" preference is one 
 phase of choice or will. Will, also, is the act of iveighing and 
 deliberating over both ends and means, and of then striving to 
 accomplish the chosen end by this means or that. Thus it is, 
 that conscience is itself will with an emotionally rooted prefer- 
 ence for the good and the right for their own sake, and with 
 an intellectual discrimination between the good and the bad, and 
 between right and wrong means and ends. 
 
 This Ethical Voluntarism readily allies itself with a second 
 type or more extended form of Voluntarism that has its motive 
 in the dynamic doctrines of modern science, while these doctrines 
 are in turn supported by dialectical arguments, derived from 
 the Aristotelian logic, by which the logical necessity of change 
 and evolution is demonstrated. 
 
 In developing this more extended Voluntarism, appeal is made 
 to the fact, that, although in comparison with acts of will, intel- 
 lectual acts and emotions are, perhaps, revealed by introspection 
 as relatively statical, this, nevertheless, is only comparatively 
 the case, since modern psychology shows that all empirically 
 given consciousness is concretely an act or process. This is quite 
 generally agreed to, whether or not it is further held, that there
 
 336 SUBSTANCE PHILOSOPHIES 
 
 is a static ego or self which unites the manifold of conscious 
 processes into one personality. But, in acts of will we discover 
 a resistance to be overcome, a push or a pull against either our 
 better nature, or against our appetites and desires, and, also, a 
 counter push or pull, with actions finally emerging. Here, 
 therefore, is force, — energy, here is vis viva revealed at first 
 hand. 
 
 Most suggestive of further hypotheses now, is the view, that 
 such a source is that from which our knowledge of the dynamic 
 springs, and that, with this as an analogy, men have been uncon- 
 sciously led to suppose that nature itself is identical with change. 
 But, even if this be the origin of our knowledge of change, it 
 does not follow, that nature is not really of this character, but 
 is only thought to be such by man. For the esse of "things" 
 is not, of necessity, identical with the mode of its discovery, 
 unless one accept the fundamental premises of such positions 
 as Phenomenalism, Subjectivism, or Humanism. 
 
 However, modern science takes this dynamic view, whatever 
 interpretation may be given to it. Thus, e.g., in the field of 
 physical existents, science holds that all is energy, either in the 
 equilihrium of action and reaction, or of change when the one 
 force is the greater, the possible exceptions being those ultimate 
 parts, such as atoms or electrons, out of which specific 
 energies are made up, although even such seemingly ultimately 
 statical entities may be only equilibriums between dynamic 
 forces. 
 
 The psychical life is, perhaps, even more evidently one of 
 change and push and pull, ivith, possibly, not even the same 
 probability of unchanging entities such as seem to exist in the 
 physical world, or which the physical world presupposes. For 
 example, space and time do not change, although "things" in 
 them may change. Voluntarism, however, neglects these re- 
 finements, and, also, in its appeal to evolution, is not troubled 
 by the fact that, if all "things" are held to evolve, this sup- 
 position is contradicted by the implied fact, that the principles 
 of evolution and of change do not themselves change, but are 
 invariants. 
 
 The theory of evolution holds in a crude way to the con- 
 tinuity of the development of higher plants and animals from
 
 FURTHER DEVELOPMENTS OF IDEALISM 337 
 
 lower forms, and this evolution is held to extend upward until 
 it brings the flowering of a fully deliberative will as the crown- 
 ing glory of nature 's inherent creative impulse. But, downward 
 also does the continuity extend so as to include the impulsive 
 acts, the instincts, the tropisms, the chemical and physical 
 reactions and events, and, finally, the so-called inorganic proc- 
 esses. Accordingly the question arises, Shall the higher partake 
 of the nature of the lower, the complex be like the simple, or 
 conversely? But, we may also ask. What matters it which 
 hypothesis we choose, since there is continuity between the two 
 extremes, and each extreme must resemble the other? 
 
 For the modern voluntarist this evidence from evolution 
 counts for much, indeed its weight tips the scales in favor of 
 the inference, that "the lower" is like "the higher," rather than 
 conversely. For, it is asked, Do we not get our first-hand 
 knowledge of force, of energy, of change, from the higher by 
 an absolutely reliable introspective knowledge of ourselves, 
 whereas the innermost essence of the life of the lower animals 
 and of all plants, and of the processes of the inorganic physical 
 world is concealed from us by the coat of many colors — appear- 
 ances? Also, must not the lower contain that which the higher 
 reveals in order to account for the higher realities? For ex- 
 ample, must not "the lower" be or contain will and conscious- 
 ness, in order to account for will and consciousness in higher 
 forms, especially if evolution is continuous? And yet, if will 
 is present at such lower "levels," e.g., in an amoeba or in an 
 atom, it is, nevertheless, not a deliberative will, but a wull that 
 is blind and impulsive, dogged in its urgings, ever unsatisfied 
 in its attainment, and, perhaps, ever creating new desires, and, 
 therefore, ever new suffering. 
 
 Like in kind, therefore, would be the higher and the lower, 
 like, that which seems to be as different as are the physical and 
 the mental, like, the near and the remote. But like they must 
 he, not only because, as evolution teaches, each is continuous 
 with the other — roughly so at least, but also because each is but 
 the upspringing of an Absolute Will that is their creator, their 
 relater, and their inner nature. Thus is the position taken, that 
 the essence of physical force and energy is will, and the essence 
 of will, energy, urging, on-pouring.
 
 S38 SUBSTANCE PHILOSOPHIES 
 
 This is modern Voluntarism, an offshoot of Ethical Monism. 
 The gap between it and Naturalism is not wide, since to bridge 
 this gap, one has but to identify the Absolute One of Monistic 
 Idealism with an Energy whose inner nature is Will. But 
 whether energy be will, or will be energy, is, perhaps, an option 
 to which the concrete happenings of the universe are quite 
 indifferent as long as the Ultimate One plays only the function 
 of manifesting itself in and of uniting all concrete ''things" 
 as they are found empirically. For, on the one hand, if will be 
 energy, as the materialistic monists claim, then the world is 
 a deterministic system, and there is no opportunity for teleology 
 in any other sense than that of mere direction and irreversi- 
 bility, while, on the other hand, if energy be will, yet a will 
 that merely underlies and relates determined empirical happen- 
 ings, then, also, is there no teleology in the sense of a purpose 
 that is aimed at, and of means that are varied to its accom- 
 plishment. 
 
 It is, however, the seeming opportunity of making determin- 
 ism merely apparent, and thus of finding a fundamental on- 
 tological basis for a genuine, universal teleology, that chiefly 
 actuates the modern voluntarist. For, if energy be will mani- 
 festing itself in the inorganic wqrld, and especially in the realm 
 of plants and animals, then there certainly does seem to be 
 opportunity for an immanent teleology, with the result that 
 the conflict between the act that is hoth determined and pur- 
 poseful seems to be removable by putting the causal determinism 
 into the world of appearance, and the purpose a7id freedom of 
 action into the realm of ultimate reality, namely the Universal 
 Will. Thus it is that in modern Voluntarism there is still 
 retained the contrast of the Kantian Phenomenalism between 
 a realm of appearances and a realm of ultimate realities (things- 
 in-themselves) , with determinism in the former, and purpose 
 and freedom in the latter realm. Indeed, all Monism, especially 
 all Objective Idealism, emphasizes this contrast between the 
 realm of related terms as appearances, and the reality of the 
 Ultimate One that relates these. 
 
 As regards their "practical outcomes," however, there is a 
 striking contrast between Ethical Monism and Voluntarism; 
 for, while the former is essentially a philosophy of optimism,
 
 FURTHER DEVELOPMENTS OF IDEALISM 339 
 
 the latter readily becomes a theory of deeply grounded pes- 
 simism. 
 
 The One of Ethical Monism is held to be primarily a moral 
 self that is the active, living principle of right and justice in 
 the world, although that such a being cannot consistently be 
 inferred to be of this character, we shall discover shortly in our 
 criticism of Objective Idealism. However, this criticism is not 
 accepted by the adherents of the position. Rather, their phi- 
 losophy is held both to demand the conclusion and to support 
 the conviction, that all ''things" work togetlier for good. 
 The One that mediates all, and that is all, is a moral 
 entity. Therefore, by that narrow meaning of the term with 
 which Ethical Monism identifies the moral, all "things" 
 must be in their essence good, and all evil must be but mere 
 appearance. 
 
 Voluntarism, however, does not, at least as it has been his- 
 torically developed, incline to this optimism. Eather, the will 
 of Voluntarism is interpreted more in analogy to those some- 
 what blind, instinctive and impulsive willings that impel us to 
 anger and to wrath, and then to regret and to sorrow, or to 
 desire, and then, following upon satisfaction, to still further 
 desire, and accordingly to no final satisfaction. Thus it is that 
 Voluntarism becomes a philosophy of unfulfilment and of ever 
 returning unquenchable longings and willings. Yet in this 
 flux we continue to "will to live,"^ and, as a means of living, 
 to will to have power and to conquer.- Yet what deeper 
 ground for pessimism than to he a will that forever flows 
 and surges into ever new longings and ever repeated disap- 
 pointments 1 
 
 Voluntarism is based in part on the scientific and naturalistic 
 doctrine of the evolution and change of all "things," but when 
 further support is needed, it accepts this from whatever sources 
 are available, — even from opposed theories. Accordingly, Vol- 
 
 * Schopenhauer (1788-1860), collected works ed. by Deussen, 1911 ff.; 
 translations: World as Will, and Idea, by Haldane and Kemp, 3 vols., 
 1884 ff.; Fourfold Hoot and Will in Nature, by Hillebrand, 2nd ed., 1891; 
 Basis of Morality, by Bullock. Cf. Sully, Pessimism. 
 
 = Nietzsche (1844-1900), col. works ed. by Koegel, 1895 ff.; English 
 trans, by A. Tille. See especially Jenzeits von Gut and Biise, and Zur 
 Oenealogie der Moral (Beyond Good and Evil, and The Genealogy of 
 Morals ) .
 
 340 SUBSTANCE PHILOSOPHIES 
 
 untarism brings to its aid a theory of the logical necessity of 
 change and evolution. This theory arises in the development 
 of the Aristotelian logic, and is closely connected with the argu- 
 ment for an Underlying One. In fact, just as this argu- 
 ment deduces, from every term's implication of a formal 
 contradictory, the unity of the two terms, and the underly- 
 ing locus of this unity, so logical evolutionism deduces, from 
 the implication of a formal contradictory, the necessity of 
 change. 
 
 In order to make this demonstration one argues, that change 
 as empirically discovered can only mean logically that A be- 
 comes B, i.e., non-A, where A and B are things. If, now, when 
 A becomes B, there is merely an A at one instant, and a 5 at 
 another instant, no especial difficulty may seem to arise. But 
 this is only because certain problems are ignored. For there is 
 the problem as to hoiv a thing, e.g., an atom of carbon, or an 
 electron, can cease to be itself, and become something else. But 
 there is also the problem, as to how, if such a becoming seems 
 to be an empirical fact, — as it does, — this "ceasing" to be one 
 thing and "becoming" another thing can be rationally under- 
 stood — indeed, how it can be rationalized at all. For, although 
 it seems to be readily ascertainable that a thing, e.g., a piece of 
 ice, can be 7iow A, and then B, or non-A, at instants that are 
 somewhat remote from each other (the ice can become water), 
 it is difficult, if not impossible to understand the implied fact, 
 that, at some one instant the real transformation takes place 
 {e.g., the ice melts), so that a thing is both A and non-A at the 
 same instant (the water both solid and liquid). 
 
 Change, therefore, presents this specific problem as to how 
 contradictory attributes can coexist at the same instant. And 
 the solution to this problem is, that they can not, except in 
 appearance. For, on the ground of the principle of contradic- 
 tion, that a thing can not both be and not be (a certain quality 
 or property), whatever seems to involve the contradiction of 
 being both A and non-A must be inferred to be only appear- 
 ance, while reality must be inferred to be that which does not 
 change. 
 
 The essence of change is, therefore, the self-contradictory state 
 of affairs of A and non-A coexisting at the same instant. But
 
 FURTHER DEVELOPMENTS OF IDEALISM 341 
 
 this state of affairs is an instance of logical necessity, in the 
 sense, as we have already seen, that A implies non-A.^ We must 
 conclude, therefore, that change, which is empirically discovera- 
 ble, but which is also self-contradictory, is, nevertheless, logically 
 necessitated, although in the realm of the manifold of appear- 
 ances, and not as a characteristic of that One which is tlie 
 reality. 
 
 However, Voluntarism is not alone in employing this argu- 
 ment in order to demonstrate the necessity of a universal change 
 and evolution by which to fortify its position, that all is Will, 
 for other forms of Monism also use it. Thus, e.g., Ethical 
 Monism employs the same argument in order to show that a 
 universal ethical advance and progress is logically necessitated, 
 and Intellectualistic Monism, in order to demonstrate the pres- 
 ence of a logical necessity in the sequence, e.g., of the several 
 periods of the development of human institutions. For it can 
 be thus demonstrated, e.g., that the several phases in the develop- 
 ment of religious beliefs, of the forms of government and of 
 social organization, and of scientific theories, could have only 
 that order ivhich they de facto have had.* Indeed, every 
 monistic theory can, consistently with its own logical founda- 
 tion in the underlying-reality theory of relations, use this logical 
 evolutionism either as a support or as a supplementary doc- 
 trine. For, even if the One is interpreted after the analogy 
 of a physical thing with attributes and a unitary material 
 substratum, the argument for logical evolutionism may still be 
 used, since this argument forms one aspect or corollary of the 
 argument for a single underlying reality.^ Emphasize the unity 
 in the relationship of contradictories, and the conclusion results, 
 that there is an underlying One ; but emphasize the implication 
 of the contradictory as identical with the process of one "thing" 
 becoming another, and we have the conclusion, that, whatever 
 else they may be, e.g., progress, advance, and betterment, or 
 the opposite, change and evolution are themselves logically 
 necessary. 
 
 " This is the essence, I believe, of the Hegelian doctrine of the logical 
 necessity of evolution. It is found in Fichte, in the Wissenschaftslehre, 
 and in Hegel in the Logic and the Encyclopedia. See Chap. XXXV., il. 
 
 * Hegel's Philosophy of History, trans, by Sibree. 
 
 » See Chap. XXXV., ii.
 
 342 SUBSTANCE PHILOSOPHIES 
 
 n. VITALISTIC AND ROMANTIC IDEALISM ^ 
 
 Still another variant of generic Monism is derived by inter- 
 preting the nature of the One after the analogy of the organism, 
 or of life, especially as this is regarded in those specific bio- 
 logical theories that are called vitalistic. Such a specific monism 
 may be called Universal Vitalism or Romanticism, and is due, 
 of course, to the influence of the concept of biological evolution 
 and of the science of biology. Such a monism is, also, clearly 
 more naturalistic than are those monisms which we have thus 
 far considered, yet it is, nevertheless, a monism that is an ideal- 
 ism or psychism, since it is based on a psychistic view of the 
 organism and of the nature of life. 
 
 One and perhaps the chief characteristic of vitalistic theories 
 in biology is their opposition to, or insistence on the limitatiojis 
 of, the mechanistic position. The latter position, however, is 
 itself seldom formulated with precision. Sometimes it is defined 
 as meaning merely that the organism is determined in all its 
 structures and functions, and that it acts with such a regularity 
 and uniformity that experiments can be repeated and "the 
 same results" again be observed. Also, the position is defined 
 as meaning that all vital phenomena are identical with 
 mechanistic entities — without this term (mechanistic) itself 
 being defined. Or, again, the position is regarded as meaning 
 (1) that an organism is a special instance of an organized com- 
 plex of physico-chemical forces, even as any such complex is 
 specifically different from others; (2) that, accordingly, the 
 organism has, as a ivhole, specific characteristics, such as repro- 
 ductive ability, self-maintenance, and selective sensitivity, which 
 inorganic complexes do not have; (3) that such specific char- 
 acteristics are not identical with chemical and physical forces, 
 with molecules, with atoms, or with electrons, although they 
 act in conformity with these mechanistic entities. 
 
 This last mechanistic position is of such a character that it 
 makes it quite possible to combine both the mechanistic and 
 vitalistic contentions into a common theory, but this possibility 
 
 • The position taken by Bergson in Creative Evohitiov and other works, 
 and by Eucken in the recent volumes: Main Currents of Afodern Thought, 
 trans, by Booth; Problems of lAfe, trans, by Hough and Gibson; Value 
 and Meaning of Life, trans, by Gibson; Life's Basis and Life's Ideal, trans, 
 by VVidgery; The Life of the Spirit, trans, by Pogson.
 
 FURTHER DEVELOPMENTS OF IDEALISM 343 
 
 has not been generally recognized by either party. Accord- 
 ingly Vitalism is also advanced in quite as vague a form as is 
 Mechanism, namely, as the negative position or contention that 
 the mechanistic theory does not "account for," "explain," or 
 describe the organism completely, especially as regards its dis- 
 tinctly vital characteristics. In other instances, however, Vital- 
 ism is offered as a much more definite and precise theory, 
 namely, as the position, that, while the organism is in part 
 mechanistic, it nevertheless "contains" in every case a mys- 
 terious entity called an Entelechy that is itself non-meclianistic, 
 although it may with foresight use mechanistic means to its 
 own special end — which is the furtherance of Life.'' 
 
 It is, now, this second type of Vitalism that has especially 
 appealed to the monistic psychist as a model for his interpreta- 
 tion of the specific nature of the One. For, if it can be demon- 
 strated that there is a One, then why should this One not be 
 Life, as well as Intellect, Will, and the like, especially if 
 intellect and will are empirically known only in, or as specific 
 activities of, living beings? 
 
 This identification is made de facto,^ and the resulting posi- 
 tion may be called Monistic Vitalism. Its dominant tenet is i 
 that the One is Life, and that this One is not mechanistic, al- | 
 though its functions may be (1) to mediate the relationships' 
 between mechanistically related terms, (2) to develop and, 
 evolve into such an intellectualizing-mechanizing stage in the' 
 case of human beings, and (3) to guarantee an inner purpose- 
 fulness in all "things." 
 
 Monistic Vitalism thus easily develops into Monistic Eo- 
 manticism. This last position as taken, e.g., in art and litera- 
 ture, is one that, negatively, is scornful of all traditional prin- 
 ciples and standards, while, positively, it holds to the rule of 
 a complete reliance upon the present impression, thus placing 
 the emotions and the will above the intellect, and adopting the 
 pragmatic rule of accepting whatever works successfully. Re- 
 
 ^ Cf. Driesch, Science and Philosophy of the Organism, 1908 ; Loeb, 
 Mechanistic Conception of Life, 1912; Spaulding, "Defense of Analysis," 
 in The New Realism, and Reviews of Driesch in the Phil. Review, Vol. VIII., 
 1909, pp. 63 ff. and 436 fif., and of Loeb, in Science, N. S., Vol. XXXVIII., 
 pp. 333-336. 
 
 * The position taken by Eucken,
 
 344 SUBSTANCE PHILOSOPHIES 
 
 lease from the trammels of the old, freedom to produce the new, 
 flux and flow according to no law except that of resulting emo- 
 tional satisfaction, and this, perhaps, to but one individual — 
 these are the characteristics of Komanticism in the field of the 
 human arts. 
 
 How romantic, indeed, were the universe, if it were of this 
 kind — a living organism, bound by no law, producing the new, 
 pregnant with possibilities, full of surprises, surcharged with 
 vital impulses, which intellectual reflection must follow and 
 not lead, many and yet One! For the emotionally and 
 artistically inclined, for the anti-intellectualists, such a plea is 
 strong, — quite convincing men like Eucken and Bergson. 
 
 Such a universal Vitalism and Romanticism is, however, as 
 much a Monism as are Panlogism, Pantheism, Ethical Idealism, 
 and Voluntarism, yet such a philosophy is also a Monism that 
 verges toward Naturalism — although toward a Naturalism that 
 is also a strongly tinged Psychism. For it is life, not as the 
 natural sciences usually interpret this phenomenon, but, rather, 
 as they fail to interpret and explain it, that becomes the model 
 for the interpretation of the specific nature of the One. Life 
 as lived, as non-mechanical, non-chemical, non-geometrical, non- 
 determined, freely creating, ever surging onward, vague and 
 mystical — such is that Life which is the One. And this Life can 
 be only of the nature of Mind or Spirit, which, as holding the 
 many together in relatedness, and as thus not itself an organized 
 whole, can itself be only Absolute One. Thus it is that Uni- 
 versal Vitalism and Romanticism emerge as further variants 
 of generic Monism.
 
 CONCLUSION 345 
 
 CHAPTER XXXVIII 
 
 CONCLUSION 
 
 I. monism's solution op philosophical PROBLEMS: CRITICISM 
 
 This detailed discussion of monistic systems may now be com- 
 pleted by presenting those solutions which these positions give 
 to the main philosophical problems. 
 
 First, it is evident that all these monisms are in their result 
 predominantly ontologies. They solve the ontological problem 
 by concluding, not merely that there is a oneness of kind of all 
 "things," as Subjectivism, Psychism, and Materialism main- 
 tain, but that there is a numerical One which relates all, is all, 
 and underlies or transcends all. It is this conclusion that dis- 
 tinguishes these positions from naturalistic systems. For while 
 these last positions, in some cases at least, conclude that ulti- 
 mately all "things" are of the same kind, they nevertheless 
 admit the genuine distinctness and manifoldness of such similar 
 "things." Monistic systems also accept a pluralism, but they 
 insist also upon the numerical oneness of ultimate reality, allow- 
 ing for a manifoldness only in the realm of manifestations and 
 appearances. Further, in their identification of the One with 
 the nature of some finite, entity, such as self, ego, intellect, will, 
 or life, monistic systems give an answer to the question, What 
 is the fundamental stuff of the universe? quite as much as did 
 those earliest ontologies which maintained that this stuff was 
 water, or air, or fire. 
 
 In their cosmology monistic systems follow modern science, 
 and interpret as mere appearances of One Absolute, all those 
 detailed entities with the discovery of which science is partly 
 identical. They also maintain the presence of a law or order 
 in "things," but make the One the source or the immanent prin- 
 ciple of this order. Also, as the general concept of evolution 
 has developed in science, monistic systems have incorporated its 
 principles in one way or another into their cosmologies. 
 
 Further, with the phenomenalistic distinction at hand, of two 
 orders of reality, the one of appearances, the other, of genuine
 
 346 SUBSTANCE PHILOSOPHIES 
 
 reality, monistic systems claim to avoid those contradictions that 
 seem to subsist, if one and the same "thing" or event is both 
 determined and purposeful. For, by this distinction, each and 
 every entity can be maintained to have its source in a free, 
 purposing One, and yet to be also a member of a causally deter- 
 mined series. Such an immanent teleology is accepted by all 
 monistic systems. By means of the distinction between appear- 
 ance and reality, such systems claim to be able consistently to 
 accept both the deterministic cosmology of natural science and 
 the teleology of an ethics and a religion that demand freedom, 
 responsibility, conscience, and the victory of the good. 
 
 Monistic systems also give a very definite solution to the 
 theological problem. While perhaps not all such systems ex- 
 plicitly identify the One of the universe with God, yet, if what 
 the Deity does is more important than what He is, then is this 
 identification made by each specific monism. The One is God, 
 because He is that Being who not only is all, but who unites 
 and relates all, who manifests Himself in all, and who, in the 
 midst of seeming machine-like chains of events, guarantees their 
 inner purposefulness, and perhaps their goodness. Specific sys- 
 tems may differ as to whether God is predominantly Intellect, 
 or Will, or Life, but whichever of these He may be held to 
 be. His most important functions are the same. 
 
 In monistic systems, therefore, the Deity is not the first cause 
 in the temporal series of causes and effects ; nor is He architect, 
 mechanician, or designer, to stand outside His handiwork and 
 view it from this angle and from that, ever to bear in mind 
 the end which He will accomplish ; nor is He merely a Being 
 that is thought of in a manner consistent and free from con- 
 tradiction, and that, therefore, if He does not exist, at least sub- 
 sists. Bather, in Monism, God is a cause that underlies or 
 transcends, and that is first in just this specific sense; He mani- 
 fests Himself in all "things" as their essence, and is, therefore, 
 their immanent architect and designer; He exists neither here 
 nor there, neither now nor then, and thus is eternal and omni- 
 present; and, finally, with all finite "things" related by Him, 
 He, as their relater, is in some vague sense infinite, un- 
 limited, — and perfect. In this manner does Monism transform 
 the traditional cosmological, teleological, and ontological proofs
 
 CONCLUSION 347 
 
 for God's existence, reinterpreting them in the light of its own 
 distinction between the apparent and the real, the related and 
 the relater. 
 
 In their solution both of the problem of values and of the 
 problem of knowledge monistic systems are very definitely ahso- 
 lutistic, and, therefore, anti-pragmatic and anti-relativistic. In 
 criticism of relativism, all monistic systems presuppose the prin- 
 ciple that absolute knowledge is possible in some cases at least, 
 and accordingly all accept the existence or subsistence of an 
 absolute good, an absolute truth, and an absolute beauty. Evil, 
 error, and ugliness, are all undeniably facts of some kind, but 
 for monistic systems they are mere appearances, and not ultimate 
 realities. Indeed these entities, as well as the good, the true, 
 and the beautiful could not be other than they are, since their 
 appearance is the product of a logical necessity. Other systems 
 also accept an absolute truth, goodness, and beauty, and a 
 system of entities that are knowable as they really are, — e.g., 
 Realism does this. But this does not carry with it the further 
 acceptance of the monistic position, that there is One underlying 
 entity which is either identical with the principle of goodness, 
 truth, and beauty, one or all of these, or through which these 
 become facts in the manifoldness of the universe. 
 
 It is this specific identification that distinguishes the abso- 
 lutism of the monistic systems from that of other absolutistic 
 systems. Other positions maintain that there is a realm of 
 facts and of states of affairs, some of which are values such as 
 goodness and beauty, and others, non-values, but all of which 
 are related in various ways, thus forming some kind of system, 
 and all of which are knowable, though perhaps in many specific 
 instances unknown. Every system that presents as true a theory 
 concerning knowing, makes this presupposition of the absolute 
 knowableness of some "things," — a presupposition which is 
 identical with the principle, that there are terms which are 
 related, and yet do not affect one another. 
 
 One can grant, therefore, that all ''things" form a system 
 in that they are related,^ and yet not be forced, also, to grant 
 either that there is an effect of each "thing" on every other 
 thing, with all "things" thereby becoming similar in character, 
 
 ^ See Chap. XLI., iv.-vi.
 
 348 SUBSTANCE PHILOSOPHIES 
 
 and infinitely complex, or that a relation demands an under- 
 lying unitary entity as a relater. But it is, of course, just this 
 last assumption, which is identical with the underlying-reality 
 theory of relations, that distinguishes Monism from those other 
 positions which also grant that there is a realm of fact to he 
 knoivn as it really is, and that this realm is a system. Accord- 
 ingly, if valid criticism can be brought against this specific 
 theory of relations, or against its application to the Universe, 
 we can give up Monism, and yet both retain Absolutism and 
 maintain that the universe is a system.- Just this conclusion, 
 however, is one of the findings of The New Realism and The New 
 Rationalism. 
 
 Absoluiistic as they are, therefore, in their position toward 
 both the knowledge of and the character of the facts which are 
 denoted by the concepts of truth, goodness, and beauty, monistic 
 systems are, further, perfectionistic and formalistic in their 
 position concerning both the factuality of ethical and cesthetic 
 values, and the knowledge of these, or, negatively stated, 
 monistic systems are anti-hedonistic, anti-utilitarian, anti- 
 relativistic, anti-pragmatic. Thus, in the field of ethics, monistic 
 systems teach the absoluteness of the "standards" of right and 
 wrong, and of goodness and evil. Each standard is an eternal 
 fact or entity that is unchanged and unchanging, although its 
 formulation in the "trial and error" development of knowl- 
 edge may vary from generation to generation, and from race 
 to race. Such passing "practical" standards may seem abso- 
 lute to him who is immersed in the flood of the tradition that 
 they themselves help to form, and it may even be granted that 
 in the general conflict of standards, out of which knowledge of 
 the absolute standards shall emerge victorious, it is better to 
 have some standard, even though it be false, than to have none. 
 But still the perfectionism of the monistic systems is not affected 
 thereby. For, from their standpoint, while, e.g., all the formula^ 
 tions of the principles of right and wrong that have been made 
 up to the present may be in error, such formulations represent- 
 ing only attempts to arrive at a knowledge of principles by the 
 method of trial and error, yet such absolute principles are still 
 entities that are ever present to be attained, if possible, and that 
 
 * Ibid.
 
 CONCLUSION 349 
 
 ever challenge us to further gallant effort. Indeed, the sub- 
 sistence (or existence) of such principles is maintained by 
 Monism to he implied by the very approximateness of the formu- 
 lations that mankind has made. For Monism, as part of its 
 foundation scheme that the positive term implies the negative 
 as a formal contradictory, must also hold that the relative im- 
 plies the non-relative, the passing, the eternal, and the ap- 
 proximating, the limit and the absolute. 
 
 However, other positions than Monism accept this absolutism 
 and perfectionism of standards, so that again it is the identifica- 
 tion of these with the essence of the One that especially dis- 
 tinguishes monistic systems. Also, in thorough-going Monism, 
 this perfectionism is made to concern not only ethical values, but 
 also aesthetic values, with the modes of tentative approach to 
 these respectively conscience and (Esthetic appreciation. Yet it 
 is conceivable, that one might be absolutistic toward ethical 
 values, and relativistic and pragmatistic toward gesthetic values. 
 In its attitude toward truth, however, Monism takes the clear 
 and precise position, that, although truth, as a specific relation 
 of correspondence between knowing and entity known, is of 
 value, value does not constitute truth. Truth is just that 
 specific complex entity which is formed by this specific relation, 
 while this complex (truth) is itself, in turn, an absolute value 
 that is both good and beautiful. 
 
 In their solution of the several epistemological problems, 
 monistic systems are all in essential agreement. All are, e.g., 
 absolutistic in the way that has just been described. There are 
 facts to be known, there is one absolute truth to be attained to, 
 if possible, and the process of finite knowing, in science, phi- 
 losophy, and common sense, makes neither fact nor truth. This 
 Absolutism, however, does not exclude tentativeness and error. 
 The best that we can do, actuated by the appreciation of the 
 value of truth for its own sake, is to make every effort to know, 
 even though we may fail. Monistic systems nevertheless take 
 the position, in their Absolutism, that such possible failure 
 implies a standard, not yet reached, perhaps, yet ever more 
 closely approached. Indeed, all knowledge, except that of their 
 own positions, is usually interpreted by monistic systems as 
 being of this tentative character, but, toward themselves, each
 
 S50 SUBSTANCE PHILOSOPHIES 
 
 monistic system presupposes, tacitly at least, that it is not 
 merely an approximation, but a revelation of absolute fact with 
 little or no ground for doubt. In this manner monistic systems 
 usually become extremely dogmatic.^ 
 
 Many monistic systems account for the merely approximating 
 character of most finite knowledge (the exception being them- 
 selves) by the hypothesis of the organic theory of truth and of 
 knowledge, and, indeed, of all fact. Thus, although the demand 
 for consistency with their fundamental postulate of the under- 
 lying-reality theory of relations does not compel them to do 
 this, they nevertheless maintain as regards truth, that any one 
 truth is that truth only hy virtue of its relation to all other 
 truths, — in other words, that the modification theory of relations 
 is valid for the system of truths. 
 
 One consequence of this position is, that the attainment of 
 even one perfect truth is impossible, unless all truths to which 
 it is related have come to our knowledge. But, it is argued, 
 success in knowing all truths is impossible, both because the 
 totality of truths can be arrived at only by gaining a succession 
 of single truths, and because we as finite beings cannot deal 
 with a possible infinity of truths and their relationships.* There- 
 fore, it is inferred, that to finite, human beings there are 
 accessible only those truths (?) which are partial in the sense 
 that they consist not of sharply delineated true and false parts, 
 but of a complex fusion of constituent minor truths and errors. 
 Only to an infinite, unlimited, perfect mind, that knows all 
 facts, all truth, and all relationships, simultaneously and imme- 
 diately, is the whole absolute truth in all its aspects available.^ 
 
 This position, since it itself is advanced in each case as an 
 absolute, though single truth, by a philosopher who is a finite 
 human being (whatever this may mean) is clearly self-contra- 
 dictory. For, if one truth ( ?), namely, the truth, that no truth 
 can he known in isolation, can nevertheless be known hy itself, 
 it follows that many other truths can also be so known. Thus 
 the organic theory of knowledge, of truth, and of "things," 
 
 ' See The New Realism, Introduction. 
 * Joachim, op. cit. 
 
 ' Koyce in I'he Spirit of Modern Philosophy, and in The World and the 
 Individual.
 
 CONCLUSION 351 
 
 breaks down at the weakest link of the chain, namely, where it 
 would connect its own explicit theory with the conditions that 
 are presupposed in advancing that theory as true. 
 
 For monistic positions, therefore, the nature of truth is not 
 constituted by successful workings, as is contended in prag- 
 matic systems, but by coherence among truths and by a cor- 
 respondence between fact and knowing. For, granted, e.g., the 
 completely intuitive knowing of a single mind that underlies 
 the universe of organically related facts, then would there be 
 a perfect correspondence between His knowing and all facts 
 known. Indeed, since for monistic systems all entities (with 
 one exception) are the manifestation of such a single Being, 
 His knowledge and all entities are, perhaps, identical, and not 
 merely corresponding. But, for finite beings, who are them- 
 selves mere manifestations, the correspondence is only partial, 
 incomplete, confused, and vague. 
 
 As regards the problem of the test of truth, monistic systems 
 accept the empirical confirmation in perception both for common 
 sense and for scientific knowledge. Yet this knowledge is only 
 of appearances. But that panoramic knowledge which is pos- 
 sessed by an Entity that underlies all and manifests itself 
 in all, is held to subscribe to the criteria of coherence, of con- 
 sistency, of freedom from contradiction, of self -evidence, and 
 of the inconceivability of the opposite. Thus, coinciding with 
 the tacit presupposition of each monistic system, namely, that 
 it itself is absolutely true, there is this special set of tests by 
 which this absolute truth is held to be guaranteed. But it has 
 previously been shown ^ both that such tests do not stand their 
 own test, and that history shows them to be, because of the very 
 diversity of the systems to which they lead, quite as fallible as 
 are other tests. Thus it is, that in the working out of philo- 
 sophical systems, even of ahsolutistic systems, there is no abso- 
 lute criterion for the attainment of what the absolutist would 
 have absolute knowledge. No one can do more than attempt to 
 know, supported by the principle, that absolute truth may be 
 won, although absolute proof is lacking. On the basis of this 
 principle, it is possible that facts should be revealed to him 
 who has no acquaintance with the principles of proof, and, 
 • Chap. XV., IV., 5, 6, and 7.
 
 352 SUBSTANCE PHILOSOPHIES 
 
 indeed, it is precisely in this way that the untutored person 
 does know. So, also, can this same principle be the basis for 
 the philosopher's knowing. It is only the attainment of more 
 truth that is conditioned by the knowledge of the methods of 
 proof, and the like, but truth itself is not thus dependent. 
 
 The solution which monistic systems give to the problem of 
 the origin of knowledge is in agreement with the distinction 
 which they make between appearance and reality. The sciences 
 and common sense are maintained to be but a knowledge of 
 appearances, and this knowledge is regarded as the result of both 
 intellectual and sensational processes, without the former being 
 a transformation of the latter, and with sensational processes 
 themselves existing in the realm of appearances. Some knowl- 
 edge is thus regarded as originating in sensation ; other knowl- 
 edge as having a purely rational source. But the knowledge that 
 comes from reason has the advantage, that at least some of it 
 reveals ultimate reality, and not mere appearance. Sensation 
 can never lay claim to this prestige. Sensation may be the 
 stimulus or occasion for the appearance of rational processes, 
 even as the closing of the key is the occasion for the passing 
 of the electric current, and reason, thus aroused to action, may 
 work upon the data of sensation. But when reason is freed 
 from this bondage, then, by means of such tests as self-evidence, 
 and the inconceivability of the opposite, and of such methods 
 as are identical with the very presuppositions of thinking and 
 knowing, there is opportunity for a knowledge of the ultimate 
 nature of "things,'^ and not of mere appearances. On this 
 bnsis it is contended, e.g., that the underlying-reality theory of 
 relations is the only theory that accounts for relations in a 
 manner that is free from contradiction and consistent with what 
 we must think ; that, accordingly, ultimate reality is numerically 
 One, and, as One, Universal Self, Intellect, Will, Life, Evolu- 
 tion ; and, finally, that, even as the finite self is but an emana- 
 tion from or a manifestation of such an "infinite" self, so, also, 
 are the purely intellectual principles of the finite mind one with 
 those of the All-mind. 
 
 In conclusion, it is not surprising, therefore, to find that 
 monistic systems, even those which regard the All-One as of 
 the nature of Life or of Evolution, tacitly make this a unitary
 
 CONCLUSION S53 
 
 mibstraium-like, or siibstance-like Being, after the model of the 
 traditional view, that the attributes of a physical object inhere 
 in a numerically single underlying substance or suhstratum-like 
 core. For, although the sciences of the present day have freed 
 themselves from the influence of this view, and from the logic 
 that is derived from it, the philosophy and the logic that are 
 taught in the schools have not. But, as we have seen, the logic 
 by which the underlying-reality theory of relations is demon- 
 strated, is, in fact, only the Aristotelian logic of the identity 
 of a "thing" with itself, and of the implication by each "thing" 
 of its formal contradictory, carried one step further. Therefore 
 it is not surprising that the conclusion should be, where this 
 theory is applied, that the universe is One. What matters it, 
 then, whether this One be Self, Intellect, Will, Life, or the 
 Absolute Continuity of One Evolution? Is not the One in 
 any case but a numerically single substratum to which only a 
 different nature is assigned after varying analogies? What 
 matters it which of these analogies is selected, e.g., what matters 
 it whether Self, or Will, or Life be selected, since in any case 
 both that from which the analogy is drawn and that to which 
 it is applied is but an underlying substance that holds in its 
 absolute unity the manifold of its attributes ? 
 
 To these inquiries no other answer can be given than the 
 answer, "It does not matter"; indeed, no other answer than 
 this is to be looked for, if the complete development of the 
 position that we are considering is borne in mind. 
 
 That development began with the unconscious influence of 
 the physical thing — as defined as a substratum or substance 
 with attributes, — on philosophy, science, and logic, the result 
 being that the Aristotelian logic is essentially a logic of things 
 (as thus defined) and, therefore, a logic in which the concepts 
 of substance and of cause play the leading role, together with 
 the specific relatfons of similarity and dissimilaritj^ and of 
 inclusion, complete, partial, or negative. This logic became the 
 logic of the tradition — of the tradition in which the psychology 
 and the philosophy of the last three hundred years has devel- 
 oped — and, accordingly, as due to its influence, there appear the 
 views, e.g., (1) that the conscious self is a substance, as the 
 unifying relater of its experiences, and, (2) later, in Objective
 
 554 SUBSTANCE PHILOSOPHIES 
 
 Idealism, that any two terms, as related, demand an underlying 
 entity to mediate the relationship and to be identical with the 
 unity which the inseparableness of the related terms implies. 
 With this specific theory of relations once developed — by the 
 use of the principle of contradiction — it is then applied to 
 demonstrate the position, that the Universe as cosmos and as 
 system is Absolute One. Therefore can this One be only sub- 
 stance or substratum in its functioning — whatever else it may 
 be — and by whatever name it may be called — Self, Ego, Will, 
 Life, Elan Vital, or even Unknowable. For its ** essence" is 
 its functioning, and not its naming. 
 
 Thus it is that the circle is completed, — in other words, thus it 
 is, that monistic systems both begin and end with substance, 
 even as might be predicted from the domination in them of 
 the old logic, and from their ignoring of that modem logic of 
 series, and of functions, in which empirical evidence is found 
 for the theory of external relations, and for the principle, that 
 related terms do not affect each other, nor demand a third entity 
 to mediate their relation. 
 
 n. WHAT CAN THE ABSOLUTE ONE BE? 
 
 In the several monisms that have been presented the crucial 
 point in each instance is the selection of some type-phenomenon 
 by analogy to which the further character of the universal 
 underlying one shall be interpreted. Reasons are advanced, of 
 course, for the selection of one specific type phenomenon rather 
 than another, but this means only that one positively experi- 
 enced attribute rather than another is finally chosen and the 
 World-One made of this character. 
 
 However, one may prefer not to select any one type- 
 phenomenon, but to stop with the general argument for a uni- 
 versal underlying One, disclaiming the possibility of knowledge 
 of, or of valid arguments for, the further character of this One. 
 Such a position may be called Agnostic Monism. It is Monism, 
 since it maintains that there is a numerically single entity 
 which makes the universe One; it is Agnosticism, since it con- 
 tends that the further character of this One is unknowable. 
 Therefore the One is called The Unknowable. 
 
 In the argument for this position it is contended, that, since
 
 CONCLUSION 355 
 
 it is the function of the One to mediate all relations between 
 terms, especially between those terms that are all-inclusive, and 
 since the evidence for this mediation is derived from the im- 
 plication, by each term, of its formal contradictory, it is a 
 question whether this underlying One can he of the nature of 
 either term. For example, if self and not-self are the contra- 
 dictory terms, it may be asked, whether that term which medi- 
 ates the relation between these terms can itself be either a self 
 or a not-self. For does not the identification of the One with 
 either term of the two terms between which the One mediates, 
 imply a specific relation between (1) the One, as so identified, 
 and as mediating, and (2) the two terms as the mediated, so that 
 still another mediating and underlying entity is implied,^ which 
 entity is not either self or not-self,^ — in the example chosen? 
 
 Similarly, if good and not-good (evil) are selected as the pair 
 of contrasting terms, each relative to the other, then the medi- 
 ating One, even though identified with a Deity, cannot be the 
 Good. For that which is good by virtue of its contrast with 
 and limitation by evil, loses this character if it is made all- 
 inclusive and universal. 
 
 The same criticism may be brought against all those specific 
 monisms that interpret or regard the all-inclusive One as being 
 of the character of some finite positive "thing." And to the 
 writer this criticism seems to be quite valid, for reasons that 
 proceed both from the old and from the new logic, and that 
 make any form of monism untenable. This criticism may be 
 considered in some further detail. 
 
 First, it is evident that the monist in his endeavor to identify 
 the One with some positive "thing" is searching for a concept 
 or for a kind under which everything shall be contained, and 
 which in turn shall not be contained under any other concept; 
 i.e., the monist is usually not content to stop merely with the 
 conclusion, that there is a One, disclaiming knowledge of what 
 the further nature of this One is, but he wishes to ascertain 
 the One's further positive nature, thus to show, e.g., that it is 
 spiritual, or, more specifically, that it is Will, or Intellect, or 
 
 'Herbert Spencer, First Principles, ed. 1900 (Appleton), pp. 3-129. 
 ' Cf . Bradley, Appearcmce and Reality, and Taylor, Elements of Meta- 
 physics.
 
 356 SUBSTANCE PHILOSOPHIES 
 
 Life. To succeed in such an endeavor would be to arrive at 
 a kind or concept which is all-inclusive, and to find what the 
 old logic calls the summum genus. 
 
 In criticism of this attempt it may first be demonstrated that 
 even by the principles of the traditional logic, the monist cannot 
 accomplish his purpose. For it is a principle of this logic, that 
 a characteristic which differentiates one species of a genus from 
 another species, ca^mot also be a characteristic of that genus. 
 The genus includes in its connotation only that which is common 
 to the several species, while the species are differentiated from 
 each other by characteristics which the genus cannot have in 
 its function of including them, and of denoting all the indi- 
 viduals that the species denotes. For example, vertebrates and 
 invertebrates are the two great classes of animals. The presence 
 of a spinal column and a cerebro-spinal nervous system are 
 the differentia of the former (logical) species, while the lack of 
 these characteristics and the presence of only a ventral nervous 
 system is the distinguishing feature of all invertebrates except 
 the Protozoa and the Porifera, which have no nerve cells at all. 
 But the logical class or genus, animal, is characterized by none 
 of these differentia of the species. In turn this genus, animal, 
 is co-ordinate, as logical species, with the class, plant, with both 
 of these species in turn subsumed under the next higher genus, 
 living being. In the connotation of this last genus the specific 
 characteristics of the two species, plant and animal, are absent. 
 As, now, we go on upward, as it were, in the survey of these 
 relations of subsumption of species to genus, we approach the 
 summum genus. Thus, living being is a co-ordinate species with 
 non-living being, with both included by the next higher genus, 
 physical entity ; this genus is, in turn, a co-ordinate species with 
 psychical entity, with both of these classes under the genus 
 existent; existent is, in turn, co-ordinate with non-existent sub- 
 sistent, which denotes such entities as numbers, and laws, as 
 entities that are not correlated either with a specific time or 
 with a specific place; the genus for existent and non-existent 
 subsistent is mere entity, defined as that which can be thought 
 in consistency with the data of sense experience and the prin- 
 ciples of correct reasoning. 
 
 Have we, now, reached in this term, entity, a summum genus
 
 CONCLUSION 357 
 
 which has, by the elimination of the differentia of the logical 
 species, only the characteristic of being consistently thought, 
 or are we forced onward to a still higher sitmnium genus of 
 merely mentionahle "things" which shall include not only 
 '^things" that can be consistently thought, but also "things" 
 that cannot he so thought, that are not implied by other 
 '^ things," and that are, perhaps, self -contradictory? 
 
 Either of these options places the monist in a precarious 
 position. For, if the One is to be all-inclusive, it must be iden- 
 tical, in some way, with the summum genus, while, on the other 
 hand, if the One is to have some positive content, beyond that of 
 being merely the consistently thought or the merely mentionahle, 
 it must share the characteristics of some of its logical species 
 and so can not be a summum genus. But the first alternative 
 is objectionable to most monists, since they wish to identify the 
 One with some positive content such as self or will, and the 
 second alternative runs directly counter to the logic of genus 
 and species. 
 
 If the character of the One be only that of being mention- 
 able,^ then, of course, there is no denying the formal correctness 
 of this identification; for the absolute One certainly is mention- 
 able, being at least a combination of words that has a con- 
 siderable power of verbal suggestion.^** But the monist is, of 
 course, not content with this, for he would have the One not 
 only mentionahle, but much more — a self -consistent entity at 
 least. However, if the monist advances this claim, he has en- 
 tered the lists, and accepts the chance of defeat. For the One 
 may prove to be but self -contradictory , — mentionahle, of course, 
 along with other entities, but, as a species, differentiated from 
 them. Precisely this seems to be the logical status of the One; 
 for, if the "office" of the One is that of mediating relations 
 between terms, then each of these terms is in turn related to 
 the One as mediator, and a still more ultimate One is demanded 
 to mediate this relation. Thus the situation that seems to imply 
 an idtimate One, really implies that no One is ultimate. But 
 further, if, in addition to performing a mediating function, the 
 absolute One is to be a smnmum genus, or a kind of all kinds, 
 
 • Cf . Chap. XLIV. 
 
 " See The New Realism, Introduction, for this fallacy.
 
 358 SUBSTANCE PHILOSOPHIES 
 
 a class of all classes, then it must logically include itself, since 
 it is an entity and belongs to some species. But this self- 
 inclusion contradicts the principle of classification advanced by 
 the traditional logic, namely, that the genus cannot include itself 
 as a species, or as an individual of any of its own species. This 
 principle may, however, not be universal, and even by the old 
 logic there may be one concept that meets this peculiar demand, 
 this exception being the concept, mentionahle ^'things" — for 
 these are mentionahle. On the other hand, hy the new logic, 
 this problem is solved by the realization, that only implication 
 and objective "states of affairs," and not mere mentioning, 
 constitute or make a concept. 
 
 Here, therefore, entity, with its definition of that which can 
 he consistently thought, fulfils the demand made on the summum 
 genus, namely, that it shall include itself; ^^ for this definition 
 of '^entity" is itself an "ohjective state of affairs" that is im- 
 plied and consistently thought; and, an entity is an entity. 
 
 The options of the monist are, therefore, either to identify 
 the One with a merely mentionahle entity, at the risk, however, 
 of such an entity being self-contradictory, or to make the One 
 an entity that merely possesses the characteristic of heing con- 
 sistently thought. This last, of course, the monist would claim 
 the One to be as the result of his argument for it; yet, if he 
 accept this alternative, he is still logically prevented from 
 assigning to the One the positive characteristics of any species, 
 especially of the characteristics of any physical or psychical 
 existent. The One, therefore, logically remains devoid of all 
 content except as it is thought as One — and perhaps it is not 
 even so thought consistently, as we have seen. 
 
 Since he thus fails to demonstrate consistently by the old 
 logic, either that there is an underlying One, or that this One 
 is identical with some kind of "thing" of positive content, the 
 monist may next turn to the new logic in the hope of accom- 
 plishing his purpose. But here failure again awaits him, pro- 
 vided the results of modern logical analysis are used correctly, 
 and are not misinterpreted. 
 
 By the new logic we may indeed accept one universe, hut a 
 universe that is one only in the sense that it is a totality of terms 
 " Cf. Chaps. XLIII. and XLIV.
 
 CONCLUSION S59 
 
 and individuals, both simple and complex, classes and series, 
 states of affairs, existents, and subsistents, that are all related, 
 though in different ways, and with neither one universal rela- 
 tion nor one mediator of all relations.^" The universe, therefore, 
 may be, as a totality, in one-one correspondence with the number 
 1. However, this oneness does not mediate all relations, nor 
 make all the parts of the totality like in kind. This position 
 may be called additive pluralism, and is quite as compatible 
 with the oneness of totality as is the position which maintains 
 that there is an absolutely simple One that mediates all relations. 
 
 However, the monist is not satisfied with such a hare oneness 
 of totality, but, having reached by argumentation an Absolute 
 One, he seeks to find for this, by proper analogy, an appropriate 
 content. Therefore he may turn, e.g., to the straight line as a 
 favorable possibility for such an analogy. For a line is granted 
 to be made up of points, and thus to be a manifold, but it is 
 also one, and seemingly, as a line, an absolute one, homogeneous 
 and simple." Have we not, therefore, here an instance of an 
 entity, which, as either the line itself, or as the relation between 
 the points, or even as the concept line or 'Qoint, is itself an abso- 
 lute one that mediates the relations between the many entities 
 of a manifold, and that is also a specific kiyid of thing? 
 
 This suggestion has considerable plausibility, which might be 
 taken advantage of by the monist. Yet a little rigorous analysis 
 shows that each of the above possible hypotheses must be re- 
 jected, even in the face of the fact, that this analogy of the line 
 is as favorable a possibility as the monist can find. For in the 
 case of the line the oneness in the midst of multiplicity is much 
 more apparent even than it is in an organism, or in a chemical 
 compound, or in a functional complex such as motion, and the 
 analogy of a point or of an instant, each of which is absolutely 
 simple, is not promising, since in these instances there is no 
 multiplicity. 
 
 Yet even the analogy of the line fails. For modern logic 
 shows that a line is a series of an infi7iite number of unextended 
 elements (points) that are related asymmetrically and transi- 
 tively, the "result" being that, through the presence of these 
 non-additive relations, extension of one dimension is derived 
 
 " Ibid. " Cf. Chap. XLIII., vn.
 
 360 SUBSTANCE PHILOSOPHIES 
 
 from that which is not extended. However, the asymmetrical 
 and transitive relation that relates the points is not the only- 
 relation that is present. For the line consists not only of points, 
 but also of smaller lines, so that there are also the relations of 
 the smaller lines to one another, and of the smaller lines to their 
 points, and of the whole line both to the smaller lines and to 
 the points. But even if there were not many relations, but only 
 one, this relation would not be the One, for besides it there 
 would be the terms to be related. It is fallacious, therefore, 
 to identify the oneness of the line with any one of the relations 
 that are involved in it, or with the concept of relations as such. 
 For the concept of relation cannot itself perform the "function" 
 of forming an absolute one in the line, since concepts do not 
 themselves relate, but are objective "states of affairs" that 
 involve one or more specific relations of similarity. 
 
 Failure also meets the attempt to identify either the concrete 
 oneness of a line or the hare concept of oneness in general with 
 the all-mediating One.^* A point is an absolute one. So, also, 
 is a line one, but a one that is at once a totality, a class, and 
 a series of points. Point is that concept or objective state of 
 affairs that is defined in a very specific way, in relation to a 
 line, as the unextended element of space, while a point is any 
 individual that this concept denotes, or of which this definition 
 holds. A similar difference subsists between the concept, line, 
 and any individual line. However, the concrete oneness of any 
 point of a7iy specific line does not mediate the relations between 
 all the points of that line, nor does the oneness of the line as 
 a whole perform this supposed mediation. On the other hand, 
 the concrete oneness of a line as a whole is a derivative oneness, 
 since it is logically subsequent to the subsistence of points and of 
 certain specific relations between points. Given these relations 
 and points, and the line subsists as one, with the several other 
 relations above enumerated also subsisting. Thus neither the 
 oneness of a point, nor the oneness of the line mediates the 
 several relations that subsist in the line. 
 
 It is a very similar state of affairs that is also found wherever 
 there is a oneness of kind or of class, and of the concept of the 
 class. The oneness of a single point or instant is not mediated 
 »* Cf. Chap. XXVII.
 
 CONCLUSION 361 
 
 by a relation, but the oneness of the class of points is mediated 
 or — better stated — organized by the relation of similarity, at the 
 same time that there are other relations between the points 
 whereby they form a line. The fact of the similarity of the 
 points to one another is the class of points, and this entity is 
 numerically distinct from any one point. But this oneness of 
 a class is organized by the relation of similarity, but does not 
 itself mediate this relation. 
 
 By the new logic, further, knowing is discovery. When cer- 
 tain specific discoveries are made, classes or groups of entities 
 that are related by similarity are revealed. But similarity is 
 not the only relation present. For example, all points are 
 similar — as points, but it is not this relation that organizes 
 points into a line. CJasses may also be similar to one another, 
 so that there are classes of classes; e.g., both points and instants 
 are similar in that they are iiidivisihle elements. But between 
 points and instants there are also other relations. Thus, e.g., 
 by virtue of one-one correlating relation between a scries of 
 points and a series of instants there is an entity which is motion. 
 
 However, in all these cases, whatever oneness there is, — 
 whether it be the oneness of a group of similar entities, or of 
 two correlated indivisible entities such as a point and an instant, 
 or of a series, or of one series related to another, and the like, 
 the oneness, with the exception of the absolute numerical sim- 
 plicity of, e.g., a point or an instant, is that of certain entities 
 in certain specific relations. It is, therefore, a oneness of an 
 organized, but not of an organic whole. Both the relations and 
 the terms are objective, and the terms standing in specific rela- 
 tions are an objective state of affairs, that specific class of states 
 of affairs in which the relation is that of similarity being the 
 class of objective concepts. The concept is, therefore, not made 
 by the mind, but is discovered. But over and above the specific 
 relation of similarity that subsists in such cases, there is no 
 further additional entity to mediate the relation. Whatever 
 oneness is present is, therefore, with the exception of the abso- 
 lute oneness of entities such as a point or an instant, a oneness 
 of an organized whole that is already one with the relating of 
 the terms by the relation. Thus it is that modern logic shows 
 not only that there is no Absolute One to mediate all relations,
 
 862 SUBSTANCE PHILOSOPHIES 
 
 and to underlie the universe, but also that, even if there were 
 such a One, it could not be identified with any concept or kind 
 of "thing," not even with such kinds as term and relation. For 
 these are distinct, and are, therefore, two, and not one. Thus it 
 is, also, that modern logic confirms the results of our previous 
 criticism, which showed that the argument for the underlying- 
 reality theory of relations, i.e., for the necessity of a one to 
 mediate the relation between terms, is self -contradictory . Such 
 a one, we found, is never reached, provided the argument by 
 which the attempt is made to reach it, is consistently adhered 
 to. For any one supposedly final underlying reality whose 
 function might be that of mediating the relation between two 
 or more terms, is never final, since, as related to those terms, 
 it demands a still more final reality. 
 
 Nor is the search for an Absolute One aided by the endeavor, 
 as a last desperate attempt, to identify this One with such 
 refined concepts as Oneness, relation, term, mentionahle, con- 
 sistently, thought-entity, and the like. For our present criti- 
 cism shows, on the one hand, that these concepts are always 
 such that they allow of "otherness," e.g., term is other than 
 relation, so that the problem under consideration is repeated in 
 the form of the question as to what is the nature of that One 
 which mediates the relation between these contrasted entities. 
 But our criticism also shows, on the other hand, that a concept 
 is a specific and objective state of affairs or relation of similarity 
 among the individuals of a class. Such concepts or relations 
 organize such individuals, so that the unity that results is only 
 the unity of ayi organized wholc,^^ but nothing more. In fact, 
 that each of the specific concepts under consideration is itself 
 just such a specific organizing relation, is disclosed by only a 
 slight analysis. Thus, e.g., if there are many individuals which 
 are each one, or each a relation, or each a term, then are one, 
 relation, and teryn each a specific instance of a "way" in which 
 "something" is similar to "something" else; i.e., each of these 
 concepts is a specific relation of similarity in which individuals 
 can stand, even as oneness, relation, and term must themselves 
 be similar to one another in order to belong to the class of 
 concepts. 
 
 "Not organic; cf. Chapa. XLIII., XLVI.
 
 CONCLUSION 363 
 
 A similar assertion may also be made of many other entities, 
 such as those that are referred to in this very discussion, as, 
 e.g., individual, and class. But our analysis is sufficient to 
 warrant the conclusion, on the one hand, that there is no other 
 content or meaning to the term. The Absolute One, than that 
 it is a mere mentionable, and, on the other hand, that, while 
 the universe is an organized whole, — indeed, a very complex 
 organized whole — as such a whole, it is one only in the sense 
 that the totality of all 'things'' is one. For an Absolute One, 
 other than the oneness of a totality which allows also of the 
 fact of an organized whole, there is, then, not only no valid and 
 consistent evidence or proof, but also no ascertainable positive 
 content, other than that of being a mere mentionahle. For that 
 the Absolute One is at least this, certainly can not be denied at 
 the conclusion of a discussion in which what the nature of the 
 Absolute One may he has been the leading topic of discourse.
 
 SECTION IV 
 EEALISM * 
 
 FUNCTION PHILOSOPHIES 
 
 Realism is that constructive philosophical position which is 
 derived by an empirical and critical examination of other phi- 
 losophies, most of which are found to presuppose, or to contain, 
 explicitly or implicitly, positions and principles that are to be 
 accepted as true. The systematic and consistent body of these 
 positions and principles constitutes that philosophical position 
 which may be called Neo-Realism, and also The New Rationalism. 
 New Realism, or, as we may call it for the sake of brevity. 
 Realism, may be presented and discussed to advantage under 
 two headings, namely, 
 
 I. The central doctrine of Realism. 
 
 II. The more detailed theory of Realism, including the 
 Structure of the Universe, and the Realistic Solution of the 
 main philosophical problems. 
 
 I. THE CENTRAL DOCTRINE OF REALISM 
 
 CHAPTER XXXIX 
 
 THE SOLUTION OF THE EGO-CENTRIC AND VALUE- 
 CENTRIC PREDICAMENTS 
 
 The central doctrine of Realism is identical with that solu- 
 tion of the ego-centric and value-centric predicaments which is 
 found, by a critical examination of other systems, to be present 
 logically in their tacit presuppositions, implications, and admis- 
 sions, and, psychologically, in the character of those conditions 
 
 * The general bibliographv for Realism will be found at the end of 
 Chap. XLIII, 
 
 364
 
 EGO- AND VALUE-CENTRIC PREDICAMENTS 365 
 
 that lead to and permit of philosophical deduction and investi- 
 gation. In presenting the evidence which thus leads to an 
 empirical establishment of Realism, we need to a large extent, 
 therefore, only to summarize the criticisms that have been made 
 at various stages in our previous discussions. 
 
 The most important and, perhaps, most essential realistic 
 doctrine is the solution of the ego-centric predicament} First 
 we may state, at the risk of repetition, that this predicament is 
 held to be constituted hy the fact that it is impossible to per- 
 ceive, remember, imagine, think of, or mention any object that 
 is not for that reason a perceived, remerribered, imagined, thought 
 of, or mentioned object, and that is not, therefore, an object that 
 is in relation to either perceiving, remembering, imagining, 
 thinking, or mentioning — briefly, to knowing, either actual or 
 possible. Or, if objection be made to this formulation, then the 
 predicament may be formulated as meaning that because one 
 can in some sense think of, or at least name the universe as all- 
 inclusive, therefore everything is thought of, and so is in relation 
 to knowing. However, such a knowing is quite different from 
 that which we usually identify with genuine knowing, namely, 
 a knowing alout and in some detail, and is at best only a know- 
 ing at its very minimum, namely, as perhaps a mere mentioning, 
 if, indeed, it is knowing at all. 
 
 But even if it were a fact that the universe both as a whole, 
 and in every detail, is, as known in some way, related to some 
 knowing, either past, present, or future, existent or merely 
 subsistent, this would be of consequence only on certain condi- 
 tions. One of these conditions is, that two terms— any two — 
 hy virtue of being related, causally infliience each other, pro- 
 ducing some effect, modification, or alteration, each on the other. 
 The other condition is, that aiiy relation between two terms 
 mtist be mediated by a third entity.^ If the first condition were 
 the fact, then the further fact that the world which we know 
 is related to knowledge would have important consequences. 
 For we should then be obliged to infer that the known world is 
 one that is affected, altered, or modified by the knowing of it.^ 
 
 ' Cf. Chaps. X., XXVIII., in. 
 
 * Cf. Chap. XXVI. 
 
 »Cf. Chapa. XXIX.-XXXIIL
 
 366 REALISM 
 
 On the other hand, if the second condition were the fact, there 
 would be the implication, that the known world and the knowing 
 are related and united by an underlying or transcendent 
 numerically simple entity that makes everything in some sense 
 an Absolute One.* 
 
 The first position, that two terms affect each other by virtue 
 of being related, is the now familiar modification theory of 
 relations ; the second, the familiar underlying-reality theory. Of 
 fthese two theories the latter has, however, been found not only 
 to lack all inductive proof, but also to be self-contradictory.^ 
 No concrete entity, i.e., one not merely argued, but found by 
 some other means of cognitive approach, is discovered em- 
 pirically to be the universal underlying One that monistic posi- 
 tions claim; while, as argued, the theory is self-contradictory, 
 and fails to attain that which it seeks, since at each step of 
 getting to an underlying entity that shall mediate the relation 
 between two terms, this entity is in turn found to be related 
 to the two terms, so that a further, more ultimate entity is 
 demanded. Thus each "would-be" ultimate presupposes that it 
 is not ultimate, and hence the self-contradiction. Also, as re- 
 gards the former, the "modification theory," this is shown by 
 direct inductive evidence at least not to be universal.*^ For 
 certain concrete instances are found, e.g., in the case of many 
 functional complexes, for which this theory does not hold, 
 and among these complexes is the relational uliole, knowing 
 and object known. Therewith, however, is the ego-centric 
 predicament solved. Just how this is the case we shall now 
 examine. 
 
 All through this volume many of the important points of 
 difference between the old and new logic have been emphasized. 
 We have seen that the old logic was unconsciously formed and 
 developed on the model of a physical thing.'' Accordingly the 
 relations that are emphasized by this logic are chiefly those of 
 the inherence of qualities in a substratum, of similarity and dif- 
 ference, of the inclusion of one class in another, of causation, 
 and of the additiveness of parts to make a whole. From the 
 same source or influence there also comes the identification of 
 
 * Cf. Chaps. XXXIV.-XXXVIII. " Chap. XXVI., ii., 2. 
 
 ' Chap. XXVI., II., 3. ' Chaps. III., XXVI., and XXVII.
 
 EGO- AND VALUE-CENTRIC PREDICAMENTS 367 
 
 all terms, either (1) with "things" that interact, giving the 
 modification theory of relations, or (2) with "things" whose 
 relatedness demands another entity to mediate the relations be- 
 tween them, giving the underlying-reality theory of relations. 
 But of the non-additive relationship of parts to form a whole, 
 i.e., of the modern principle of order, and, therefore, of the 
 relationship of function as sharply diii'erent from that of causey 
 and of the method of analysis in situ, and the like, the old logic 
 was entirely ignorant. The formulation of the principles and 
 the methods that are involved in these situations is identical 
 with the new logic, both as this has been used unconsciously in 
 the development of such exact sciences as mechanics, and also 
 as it has been consciously recognized in recent years. ^ 
 
 Now it is precisely by either the tacit or the explicit pre- 
 supposition and use of certain principles of this new logic, more 
 specifically of the method of analysis in situ, and of a functional 
 or external relationship, that the ego-centric predicament is 
 solved, and made no longer a predicament, even by those 
 philosophies that are explicitly developed from contrary 
 principles. 
 
 The modern investigation and analysis of motion, as illus- 
 trated by the pioneer work of Galileo in discovering the laws of 
 motion, is an example of the use of these principles and methods. 
 Motion cannot be removed from time, nor time from motion in 
 particular cases of its occurrence, so that the character of their 
 relatedness can be discovered only by an analysis in situ. But 
 such an analysis shows that time and motion are related, and 
 yet that neither is thereby causally influenced in any way by 
 the other. Neither one "makes" the other, neither affects, modi- 
 fies, alters, or causes the other. Thus motion in general is found 
 to be a function of time. Specific motions, with specific 
 numerical values for (in correlation with) different specific 
 velocities in the case, e.g., of retarded and accelerated motions, 
 are functions of specific times, with a one-one correspondence 
 between each such value and some one instant of the specific 
 time period concerned. 
 
 Innumerable other instances of analysis in situ could also be 
 given, for the method is a widely accepted logical and scientific 
 
 « Chaps. XXI.-XXV., XXVII., XLI., XLIII., and XLIV.
 
 S68 REALISM 
 
 means of procedure, upon which some of the greatest modern 
 discoveries and advances in knowledge have been dependent. 
 
 With, now, an analysis in situ the only practical method of 
 procedure in many cases that require analysis, such an analysis 
 is also a method that leads to the discovery of relations that 
 are external.^ The relations between time and motion, and be- 
 tween time and change of velocity, i.e., of acceleration, are ex- 
 amples of such relations. Other examples are the relations 
 (1) between any two points of a line, (2) between any two 
 instants of time, (3) between a point and an instant, — which 
 complex is the "element" of motion. In each of these instances 
 two terms are related that yet do not and cannot causally affect 
 and modify each other except on the condition that each thereby 
 becomes complex and so presupposes ultimately simple elements 
 that are externally related. 
 
 The time has been when the two theories of relations that 
 are opposed to this "external theory" have been based on 
 grounds that were regarded as self-evident, or as excluding the 
 conceivahility of the opposite. But today these methods of 
 establishment are found to be no more than mere psychological 
 tests, and thus to give proofs which show now one principle 
 and now another to be "absolutely true," and shift one's con- 
 victions first to one position and then to another." The evi- 
 dence for the external theory is, however, not tested by these 
 criteria. It is a theory which is not self-evident, nor is it one 
 whose opposite is inconceivable, although the two theories op- 
 posed to it presuppose it, so that it is presupposed by its own 
 denial in them.^^ It is, moreover, a theory that is shown by 
 inductive evidence to be the correct theory for at least some 
 instances of related terms. 
 
 With such examples of scientific analysis in situ and of ex- 
 ternally related terms before us, the hypothesis is permissible, 
 that the problem of the relationsliip of knowing to the object 
 known may be examined by the same method and principles, 
 with the residt that the knoivn object may be discovered to be 
 1 elated to the knowing, but not to be caused, altered, or modified 
 thereby. This hypothesis, however, solves, if it is correct, the 
 
 • See Chap. XXVI., ii., 1. 
 ^o Cf. Chap. XV., IV., 5, 6. 
 " Chap. XXVI., II., 1.
 
 EGO- AND VALUE-CENTRIC PREDICAMENTS 369 
 
 ego-centric predicament. But, that it is correct is shown by its 
 empirical confirmation in a number of instances: — 
 
 I. Just in so far as any state of affairs, holding of any en- 
 tities whatsoever, is advanced in any science or in any philo- 
 sophical position as a state of affairs that is true, there is presup- 
 posed (1) that this situation of a known state of affairs can be 
 analyzed with the knowing left in situ; (2) that these two 
 terms, namely the knowing and the complex ohject or state of 
 affairs known, can be distinguished; (3) that, if this particular 
 knowing were not present, the state of affairs would still be 
 the same as it is when the knowing is present. This last specific 
 presupposition, particularly, is the sole logical condition on 
 which any theory, scientific or philosophical, can (be claimed 
 to) portray the facts, and, therefore, be (advanced as) a true 
 theory. And the discovery of this presupposition means that 
 one has found another instance of the validity of the theory of 
 external relations. Knowing and known object, complex though 
 this be, are related ; even the whole universe, if we can use this 
 term so as denotatively to know all, may not be exempt from 
 this judgment ; but, whatever the object known may be, it is 
 presupposed to he related to the knowing as if this were not 
 taking place, and, therefore, as independent of the knowing. 
 
 These presuppositions are made even by those philosophical 
 systems which, like Phenomenalism, Subjectivism, Materialism, 
 and Pragmatism, advance explicitly a developed theory of a 
 different state of affairs, namely, one in which it is maintained 
 that knowing does make some difference to the object known, 
 and that the latter is not (causally) independent of the former.^^ 
 For in each of these philosophies this last specific state of 
 affairs is tacitly assumed to be related to knowing, and yet not 
 to be either constituted or altered thereby. Thus all these posi- 
 tions are inconsistent, self-contradictory, and self-refuting. 
 
 II. These positions, as well as others, also presuppose that the 
 ego-centric predicament is solved in a number of other instances 
 than that of the knowing of those states of affairs which are 
 represented in their theories as true. Thus (1) Phenomenalism 
 makes this presupposition in tacitly assuming, e.g., that things- 
 in-themselves form a manifold, and act on transcendental selves, 
 
 " See the criticism of these positions in Chaps, XXIX.-XXXUI.
 
 870 REALISM 
 
 and that the "categorical machinery" of the transcendental 
 self is known. 1^ So also (2) Subjectivism both tacitly assumes 
 and explicitly concludes that finite spirits, their ideas and "no- 
 tions," God, and His ideas are not constituted or altered by 
 the knowing of them — by some finite spirit (Berkeley, or any 
 other subjectivist).^* (3) Positivism tacitly assumes that im- 
 pressions (sensations) and the copies of these, called ideas, can 
 be known as they really are without being constituted or altered 
 by those ideas in which they are known and to which they are 
 related/^ (4) Naturalism, Parallelism, Materialism, and Psy- 
 chism, also, all frankly make the same presupposition regarding 
 the knowing situation. ^^ Each of these positions is, as we have 
 seen, the result of an attempt to derive a philosophy by ex- 
 tending and making universal some rather special scientific view 
 of the universe, although science for them is, seemingly, linfi- 
 ited to astronomy, physics, chemistry, biology, and psychology, 
 so that, owing to this shortsighted and inaccurate view, these 
 philosophical positions are open to severe criticism. Neverthe- 
 less, as generalizations from a limited group of sciences, they 
 all frankly admit, with these sciences themselves, that the know- 
 ing and the entities known are totli numerically distinct and 
 externally related, and thus all rest on the solution of the ego- 
 centric predicament, not only as regards that general state of 
 affairs which is the content of their theory in each case, but 
 also as regards the several more specific objects, qualities, and 
 relations, the knowledge of which is presented in the details of 
 their theory. At every point in their explicitly advanced doc- 
 trines, they therefore grant that the knowing situation can be 
 examined by an analysis in situ, with the result that knoivi^ig is 
 found to have no effect on the object as known, and that, al- 
 though always present to the known world, it is present as if 
 it were not present. 
 
 (5) Pragmatism also makes the same assumptions at a num- 
 ber of stages in the development of its explicit doctrines as well 
 as in its fundamental principles. ^^ Thus, e.g., so far as Prag- 
 matism is an extended and generalized doctrine of evolution, it 
 
 ^» See Chap. XXIX. " See Chap. XXXT. 
 
 " See Chap. XXX. '" See Chap. XXXII. 
 
 " See Chap. XXXIII.
 
 EGO- AND VALUE-CENTRIC PREDICAMENTS S71 
 
 explicitly accepts the solution of the ego-centric predicament. 
 It is disloyal to this solution, and becomes self-contradictory, as 
 do also Naturalism and Materialism, when the doctrine of the 
 evolution of all "things," including knowing, is based on the 
 principle of a universal causal interaction. For, very evidently, 
 if all "things," including consciousness and knowing, causally 
 affect and are causally affected by other "things," then knowing 
 makes a dijfere7ice by its very presence, and things are not the 
 same as known as they are when knowing is absent. This con- 
 clusion holds of the knowing both of the whole state of affairs 
 and of all the details presented in these respective theories, 
 although quite the contradictory position is presupposed in of- 
 fering these as true theories suitable for popular consumption. 
 However, to remain consistent with the principle which each of 
 these theories actually presupposes in that it is advanced as a 
 theory that presents facts, each must grant that not all "things" 
 causally interact, but that some, particularly that complex ob- 
 ject or state of affairs which forms the content of each theory, 
 and the knowledge of this object, do not. These two terms are 
 externally, and, as it were, functionally related. 
 
 (6) Monistic systems, for the most part, as we have already 
 seen,^^ frankly admit that the ego-centric predicament is solved. 
 This, indeed, is the very essence of their historical criticism of 
 Phenomenalism.^'' Their one concern is to tind evidence or proof 
 for an Absolute One which shall mediate all relations between all 
 terms, and manifest itself in the world of concrete entities or 
 appearances. But monistic sj'stems do not doubt that this One 
 both in its essence and its activity in manifesting itself can he 
 known as it really is, and thus be in relation to a knowing, and 
 yet not be constituted or altered thereby. It is only in so far 
 as some monistic systems are based on certain specific argu- 
 ments,^"' that they are derived from the false proposition, that 
 the ego-centric predicament is insohihle. Thus, e.g., it is a 
 thorough-going phenomenalistic argument, that, in the hypo- 
 thetical absence of finite knowers, there must be an infinite 
 knower to give the otherwise chaotic world the unity and order 
 of certain relationships. This last is, indeed, a very modern 
 monistic proof. So also is the argument, that, because all 
 
 " See Chap. XXXIV. ^^ See Chap. XXXIV. " See Chap. XXXVIII.
 
 372 REALISM 
 
 ''things" are related and so affect one another, they are all 
 alike, and therefore that the universe is 07ie in kind. Against 
 the first argument it may be said, that, if knowing in no ease 
 alters or constitutes the terms of the universe, it also need not 
 constitute the relations of this universe ; while against the 
 second argument one may insist, until proof to the contrary is 
 found, that even if all "things" are related, they may never- 
 theless be independent and not causally connected, and, there- 
 fore, qualitatively different and unlike. These alternatives to 
 monism are pluralism. 
 
 CHAPTER XL 
 
 REALISM'S HYPOTHESES 
 
 The central doctrine of Realism is obtained, therefore, by 
 the solution of the ego-centric predicament. Knowing may not 
 be existentially eliminated from the known world — indeed, it 
 may even be granted, that, if we endeavor to think or to know 
 a world as unknown, we but once again have a world that is 
 knoAvn and related to knowing. But there is always the possi- 
 bility that this knowing situation can be dealt with by an 
 analysis in situ, and the discovery made, (1) that the knowing 
 and the known are numerically distinct, (2) that these two 
 terms are related to each other, and (3) that the relation be- 
 tween them is external. This hypothesis is confirmed by the 
 several specific cases of knowing just examined. Therefore the! 
 assertion is justified, that in so far as Realism is identical with? 
 the solution of the ego-centric predicament and with that posi-i 
 tion which holds the theory of external relations to apply to I 
 the relation between knowing and the known. Realism is a posi- 
 tion that is established by empirical methods and not by a priori 
 arguments and assumptions. Accordingly, with this empirical 
 proof at hand, deductive results by way of forming further 
 hypotheses may be derived from the fact of the external or
 
 REALISM'S HYPOTHESES 37S 
 
 functional relation of Imowing to the known object, and con- 
 firmation of these hypotheses be sought for. Some of these 
 hypotheses are as follows : — 
 
 Knowing and known object may he qualitatively different 
 
 Hypothesis I. If knowing and object known are numerically 
 distinct and externally related, the former neither affecting nor 
 constituting the latter, then may the two in some instances be 
 qualitatively different. In general the external theory logically 
 permits very different terms to be related, simple with complex, 
 and qualitatively unlike with unlike. On the other hand, mutual 
 causal influences make terms alike. Therefore, if related terms 
 appear qualitatively different, and there is no reason for trans- 
 forming this difference into a similarity, this difference may 
 be accepted as ultimate. 
 
 Realism, so far as it is identical with the solution of the 
 ego-centric predicament, would be quite compatible with the 
 empirical discovery that all the existential entities of the uni- 
 verse are like in kind. But by common sense and science they 
 are not found to be this, while the several demonstrations in 
 Subjectivism, Positivism, Naturalism, Materialism, and monistic 
 Idealism for such a likeness of all "things" are either a priori 
 and so not empirical, or self-contradictory and so not valid. 
 Therefore, in the absence of valid reasons to the contrary, 
 Realism concludes, that knowing and the known are in many 
 cases qualitatively different, even as different as empirical investi- 
 gation and the results of the sciences show, e.g., physical entities 
 and such non-existent suhsistents ^ as number, space, and time, 
 on the one hand, and psychical processes, on the other hand, to be. 
 Only when one psychical process is the known object to another 
 process as the knowing process, are knowing and known object 
 (to this extent) similar, but this similarity does not result from 
 any causal interaction between the two. Rather, it is purely 
 incidental to facts, — namely, the facts of the universe, and thus 
 is quite analogous to that similarity between points which is 
 quite compatible with the dissimilarity between all points and 
 all instants as two distinct classes. 
 
 With the theory of external relations empirically established 
 > See Chap. XLIV.
 
 374 REALISM 
 
 for the relation between knowing and the knoivn, and also with 
 an empirical confirmation at hand for the logically consistent 
 hypothesis of the dissimilarity of knowing and the known, the 
 further hypotheses are derivable, (1) that external relations 
 may subsist in a great many other instances in the universe, 
 and (2) that a great many different kinds of entities may exist | 
 and subsist and be related in many different ways.- These I 
 hypotheses taken together mean a logically pluralistic ''world," | 
 i.e., a "world" or universe that is "made up" of many different .. 
 kinds of entities, all related, but in qualitatively different waj^s, 
 some causally, but others not, some dependent, but others not, 
 and with no single underlying One to mediate all relations. 
 
 Illusory objects are objective 
 
 Hypothesis II. The second hypothesis that is logically possi- 
 ble if knowing and known object are numerically distinct and, 
 in some cases, qualitatively different, and in all cases externally 
 related, is, that at least many classes of so-called illusory ob- 
 jects are not constituted by the consciousness of them, but are 
 quite as objective as are non-illusory entities. This hypothesis 
 is again one that is confirmed by the results of empirical investi- 
 gation, and thereby a disproof furnished of a certain specific 
 argument that is often advanced in support of a position, namely. 
 Subjectivism, which in some of its doctrines is diametrically 
 opposed to Realism. Subjectivism in its position concerning 
 the knowledge of spirits is, as we have seen, realistic ; but in 
 holding that the physical world is not numerically distinct from 
 the percepts and ideas of it, but is identical with these, it is 
 directly anti-realistic.^ For knowing is thus made, not merely 
 alterative, but constitutive of the physical world. 
 
 The logical and historical argument for this position proceeds, 
 as we have seen, from the assumed subjectivity of some quali- 
 ties and the impossibility of concretely experiencing a material 
 substratum, to the denial of this substratum and the inference 
 that all qualities are subjective.'* But this demonstration is fre- 
 quently buttressed by the further argument from dreams, hal- 
 lucinations, errors of judgment, and both normal and abnormal 
 
 ' See Chaps. XLIII.-XLVI. " Chap. XXX. * Chap. XXX.
 
 REALISM'S HYPOTHESES »75 
 
 illusions.^ Thus it is claimed, e.g., that dream objects are purely 
 subjective, and then, by analogy, that all illusory objects are 
 also of this "character. It is then argued, that even the normal 
 objects of the world about us may be, or, in fact, are but one 
 common illusion or dream, and so entirely subjective. 
 " One obvious criticism of this argument is, that the illusory 
 and hallucinatory in any instance implies that which is not of 
 this character, so that, if the one be subjective, the other must 
 be objective in the sense of not being constituted by conscious- 
 ness or by knowing. Yet this objective character need not be 
 existential ; it may be subsistential, and still meet the logical 
 requirements of the implication. 
 
 But further it is a very general principle of procedure that, 
 if a specific argument is based on one alternative when other 
 possibilities exist and are ignored, then that argument is en- 
 dangered when those other alternatives are considered. Pre- 
 cisely this situation, however, is found in the case of the argu- 
 ment, that illusory objects, such as the seeming convergence of 
 the rails of the railroad, or the seeming bentness of a straight 
 stick in the water, must be subjective or conscious in character, 
 because (1) the parallelness and straightness are objective, and 
 because (2) objectively the coexistence of the contradictory 
 characters, parallelness and convergence, straightness and bent- 
 ness, at the same place and time, is impossible. Surely 
 it is to be admitted that the rails cannot be both con- 
 vergent and parallel, the stick both straight and bent. But 
 if for this reason it is inferred that consciousness is the locus 
 of the convergence and the bentness, then may this inference 
 itself be in error, provided there are other alternatives for solv- 
 ing the difficulty. But other alternatives there are. For the 
 convergence may be a characteristic of, and have a locus 
 in, the relational complex, light-traveling-in-straight-lines-from- 
 each-rail-to-the-eyes, or to a photographic plate, and the bent- 
 ness be a characteristic of the complex, light rays-coming-from- 
 the-stick-through-the-refractive medium of water. This other 
 alternative is, indeed, the scientific explanation in each of these 
 cases. But this explanation is one which means that the dif- 
 ferent locus which is demanded by the principle of contradiction 
 " Chaps. X., XXX., XLIII., i., n.
 
 376 REALISM 
 
 for the convergence and bentness is found quite as readily in 
 an objective relational complex as it is in a consciousness or 
 mind. 
 
 With this the case there is a confirmation of the hypothesis 
 that, if the normal object and knowing are related externally, 
 are numerically distinct, and in some instances are qualitatively 
 different, with the known object objective in just these respects, 
 so also may all illusory objects and the cognition of them be 
 similarly related. 
 
 It is clear, therefore, that if there is this alternative method 
 for the solution of the problem of certain illusions, one cannot 
 pass it wholly by, and conclude that the only locus for illusory 
 objects in general is consciousness, and that all objects might 
 analogously be conscious in nature. Yet it is just this pro- 
 cedure that is adopted by many philosophers who first persist 
 in ignoring the alternative possibility,*' and then insist that 
 the crucial test of Eealism is its ability to explain error, and that 
 it fails to do this, and who finally infer not only that all illusory 
 objects are subjective, but also that all objects may be. 
 
 It is by using the other alternative that the subjectivistic 
 or idealistic argument and conclusion from illusions can be 
 disproved, and the main realistic position once again be sup- 
 ported. For other kinds of illusory objects and other instances 
 of error can be explained in much the same way as are the 
 instances just considered. Thus, e.g., it will be granted that, 
 if the theory of external relations has the genuine inductive 
 basis of a few typical instances, then there may be further 
 instances for which it holds. One group of these instances is 
 found in sense perception, and in perceptive judgments. One 
 need not perceive the whole of an object correctly in order to 
 perceive part of it as it really is. This is clearly the case, pro- 
 vided that, although two percepts are related, they do not influ- 
 ence each other. Thus the superstitious person's perception of 
 a noise may be correct, but his interpretation of this as the 
 fluttering form of a ghost be quite wrong. The gliost may not 
 exist. The person's "taking" it to exist and to be moving 
 about constitutes his perceptual error. It is just this "taking" 
 
 * Lovcjoy, e.g., in his controversy with Cohen in the articles referred to 
 in Chap. XLIII., i., n., iii.
 
 REALISM'S HYPOTHESES 377 
 
 a ** thing" to he what it is not, that constitutes many kinds of 
 error, e.g., in the case of illusory and hallucinatory objects. 
 But since even here there is a scientific explanation that makes 
 these objects objective, one cannot safely ignore this and be 
 free to infer that all such objects are subjective. 
 
 It is characteristic of all dreams and hallucinations that they 
 never present self-contradictory objects. That which is known 
 in these cognitive processes may not exist, but no character is 
 ever presented in them that could not exist, or be a fact of some 
 kind. In accordance with our previous arguments, such objects, 
 therefore, may be called suhsistent. They have the same status 
 that have many objects of the imagination and the reason. But, 
 unless the whole argument for subsistents is invalid, it is not 
 to be therewith inferred that these dream contents are npt as 
 objective as any object is, only they may not be existent 
 objects. 
 
 The philosophical position which accounts thus for illusory 
 and hallucinatory objects and which thus holds to the objec- 
 tivity of many other kinds of subsistents, as well as of existents, 
 may itself be in error, of course. For we can only attempt to 
 know, and there is no absolute test of knowledge. But such 
 a pan-objectivistic position ^ has the advantage, that it is self- 
 consistenty that it avoids many of the most patent errors of 
 other systems, and that it does not fallaciously base its con- 
 clusions exclusively on one alternative, when there are other 
 alternatives to be considered. 
 
 That many difficulties are present in the general problem of 
 error, one must frankly admit, as also must one, that all of 
 these difficulties have not been solved. But the evidence at 
 hand clearly shows, that the method of procedure must be here, 
 as it is elsewhere, the empirical one of analyzing data, of forming, 
 if necessary, alternative hypotheses, and of awaiting the con- 
 firmation of these by concrete fact and by consistent agreement 
 with other knowledge. 
 
 Eelying upon this method, it would seem, that much that in 
 
 the past has been regarded as subjective can with much greater 
 
 justification be concluded to be objective, and that the final and 
 
 irreducible subjective element in error is only the psychological 
 
 ' See Chap. XLIV., ll.
 
 S78 REALISM 
 
 fact of "taking a 'thing' to be what it is not." If this is the 
 case, then the solution of this problem belongs not so much to 
 philosophy as to psychology, for this science can, perhaps, tell 
 us why we take one "thing" to be another. But if psychology 
 succeeds in solving this problem, its solution does not do away 
 with the objectivity of all "things" that are thus confused. 
 
 This problem belongs to philosophy perhaps only in so far 
 as each special science contributes its quota to that general 
 philosophical account of things that is made up of all special 
 accounts. In this respect the realistic and objective account of 
 error that has just been presented is one that contributes its 
 small share to the ontological and cosmological branches of phi- 
 losophy,^ For it shows that the universe is not made up merely 
 of things, each identical with itself, yet similar to and causally 
 acting on other things, but there are also events and relations 
 of many kinds, and, as it were, disembodied qualities without 
 a substratum, and existents and non-existents. Thus the ob- 
 jective universe contains not only the straight stick, but also 
 the bentness; not only the parallel rails, but also the con- 
 vergence ; not only the rustling of the curtain, but also the flimsy 
 ghOst; not only the existent poisons, but also the imagined 
 ones of the dream and the hallucination. In this manner does 
 the realistic account augment the usually accepted objective 
 richness and manifoldness of the world in which we live. 
 
 1. Objects may be genuinely known: 
 
 2. They may become known and cease to be known. 
 
 3. Not all objects are known. 
 
 Hypothesis III. If the ego-centric predicament is solved in 
 the presuppositions that are made by such philosophies as Phe- 
 nomenalism and Subjectivism in regard to the knowing both of 
 complex states of affairs as well as of particular classes of en- 
 tities, such as things-in-themselves, spirits, and the like, and if 
 this relation between knowing and entity known is an instance 
 of external relations, then the hypotheses are permissible, (1) 
 that the known object can be known as it really is, (2) that it 
 may become known and cease to be known, and (3) that not all 
 objects are known. 
 
 * See Chaps. XLII. and XLIII.
 
 REALISM'S HYPOTHESES 879 
 
 The first supposition is, as we have seen, confirmed in the 
 case of any theory that would present a real state of affairs, 
 even, indeed, the contradictory one, that "things" cannot be 
 known as they really are. For, whatever state of affairs is 
 presented in a philosophy, it is offered as the real state of affairs, 
 and therefore the presupposition is made that at least some 
 "things" can be known as they really are. No a priori or logical 
 obstacle can consistently be placed in the way of the recognition 
 of this presupposition, since to attempt this, and to claim some 
 opposed presupposition to be the state of affairs, is again to 
 conform to this specific presupposition — that something can be 
 genuinely known. But if some entities can be genuinely known, 
 it is implied that other, perhaps all other entities may also be 
 so known ; and also, if no a priori argument can be brought 
 against the possihility of genuine knowledge, even when such an 
 argument is attempted (in some cases), it follows that the dif- 
 ficulties in the way of attaining genuine knowledge are em- 
 pirical difficulties and not such as are inherent in the knowing 
 situation. But empirical difficulties are removable by empirical 
 means, as is shown by the fact that the actual development of 
 the methods and technique of scientific (and philosophic?) 
 investigation is in part identical with the discovery of the 
 nature and conditions of specific errors, and of the means for 
 avoiding these. Illusions, hallucinations, preconceptions, errors 
 of measurement, and the like, have become understood, and their 
 control and elimination has been achieved. 
 
 But although it is implied or presupposed that "things" can 
 be known as they really are, still it may he that few 'things" 
 are so known. However, this possibility does not imply the 
 actuality. But there is still the empirical difficult}^ that there 
 is no absolutely certain test by which to determine whether or 
 not fact has been thus revealed. The possibility of error is 
 always present, and the best that one can do is to attempt to 
 know, and to utilize as many tests as possible. Direct or imme- 
 diate experience, consistency with other facts, the convincing 
 appeal to the reasoning of many rather than of one, and the 
 survival in the struggle for existence among theories, hypotheses, 
 and methods as knowledge develops, are all tests of knowledge. 
 Yet even if in this way no knowledge is obtained that is ahso-
 
 380 REALISM 
 
 lutely certain, the situation is, nevertheless, saved by the prin- 
 ciple, that true knowledge is independent of ilie proof that it 
 is siicli, else were common sense and the earliest knowing of 
 the race only error and complete illusion. One may conclude, 
 therefore, (1) that other than those difficulties which may be 
 removed by empirical methods, there is no obstacle to the gen- 
 uine knowing of "things," (2) that, accordingly, if some things 
 are unknown, they are not, for that reason, unknowable, and 
 (3) that even though absolute proof be lacking, absolute knowl- 
 edge is quite possible. But, if "things" are genuinely knowable, 
 and if knowing makes no difference to them, then knowing may 
 now be present to them and now absent from them, with 
 "things" hecoming known and then ceasing to be known. Some 
 "things," therefore, at some times, are unknown. 
 
 This hypothesis is not invalidated by the argument, that one 
 can think the whole universe, and that, therefore, everything 
 is known, and that nothing is unknown or vnthought. There is 
 all the difference in the world between knowing "things" in 
 a lump and knowing "things" in detail and with precision. 
 Accordingly, when I think the whole universe — whatever this 
 may mean — it may be that I should call this knowledge; but 
 there is certainly more knowledge, if I can assert, with proof 
 therefor, that the universe is, e.g., a mere collection, and not an 
 organic unity. And there is still more knowledge, of a precise 
 kind, if I am also perceiving, e.g., that a particular organism 
 under my microscope is vorticclla, and if I am observing and 
 understanding its behavior. Therefore, if thinking the whole 
 universe is to be called knowledge, it is such a knowledge as 
 allows of the ignorance of details, and the absence of the knowl- 
 edge of some entities. Accordingly, we must conclude, not only 
 that all "things" are not known, and are not in relation to 
 specific knowings, but also that this fact is itself now known. 
 Indeed this is the view that is taken in both common sense and 
 science, and that is confirmed by the scientific investigation of 
 the problem of the knowing. 
 
 This conclusion leads, however, to further interesting con- 
 siderations. It has just been said that there is all the difference 
 in the world between knowing "things" in a lump and knowing 
 them in detail. The knowing process in both eases is a specific
 
 REALISM'S HYPOTHESES 381 
 
 event, taking place at some specific time, in some individual, 
 yet in the two cases the object is known in a radically different 
 mariner. I know that there are Chinamen, but I know no 
 individual Chinaman. I may perceive a space as a whole, but 
 I may be quite ignorant of the science of spatial relations. So 
 also I may be able to think the universe, but may know little 
 of its details. It is, therefore, evident that there are two kinds 
 of knowing, and that the one does not imply the other, else from 
 my thinking the universe as such, I might discover its details. 
 But this possibility is not confirmed empirically. Rather, experi- 
 ence shows that the universe must be studied in detail and by 
 analytic induction, and not by deduction from such propositions 
 as "the universe is thought" or "the universe is One." Even 
 if these propositions were true, the knowledge of the particular 
 entities that make up the universe could not be derived from 
 them, and such entities would remain unknown, were not other 
 methods at our disposal. 
 
 When we ask the question, therefore, Are things unknown? 
 our affirmative reply is not to be circumvented by the claim, 
 that all "things" are known because they are thinkable as a 
 lump-universe. The question refers to detailed knowledge, and 
 such knowledge we do not possess of all "things." 
 
 With this limitation of the meaning of our question, we may 
 next ask, Are more "things" known than are unknown? And 
 the answer must be, seemingly, "Yes." The evidence for this 
 answer is, that human knowledge encompasses the main types 
 of "things," and that it is chiefly the subordinate and minor 
 types, and matters of minute detail that yet remain to be 
 known. This evidence is obtained by the "method of residues," 
 in accordance with which, if phenomena are found for which 
 other phenomena as causes, or as conditions, or as independent 
 variables, and the like, are not yet known, these explanatory 
 entities must be sought for, the need for this search being dis- 
 closed either by experimental analysis, or by the development 
 of implications. As judged, now, by this twofold method, it 
 may be asserted, that the main types of entities that ' * make up ' ' 
 the universe are known either descriptively, as in sciences like 
 biology, or explanatorily, as in sciences like physical chemistry 
 and mechanics, in which explanation, as correctly understood,
 
 382 REALISM 
 
 means not to identify, but to correlate series of specifically dif- 
 ferent types. Such a correlation allows two or more qualita- 
 tively distin t series t'^ **act" in conformity with one another, 
 yet without identity with or the possibility of deduction from 
 one another, and accounts for the empirical fact that most, if, 
 indeed, not all of the entities of the universe are susceptible to 
 a "treatment" by the science of order, i.e., by the principles of 
 modern logic.^ 
 
 Other instances of external relations. The Freedom of Reason 
 
 Hypothesis IV. If knowing and knoivn object are numer- 
 ically distinct and externally related, the forr.ier neither affect- 
 ing nor constituting the latter, then not only is the knowing 
 situation characterized by the several aspects of the external 
 relationship, but also there may be other instances of the types 
 of relations that are involved in the knowing situation. 
 
 It may well be that many terms are so related that they 
 influence one another causally, but it is impossible to maintain 
 in other than a very arbitrary manner, that this principle holds 
 of all related terms by virtue of their mere relatedness. Indeed 
 this cannot be at all validly maintained provided there are one 
 or more instances of terms that are related and yet causally 
 independent. One such instance, however, we have found to 
 be the pair of related terms, knowing and known object. And 
 another instance is the relationship between time, on the one 
 hand, and motion and acceleration on the other hand. In this 
 case time is the independent variable, motion and acceleration, 
 the dependent variables; time is not the cause of these changes, 
 nor are they the cause of it; yet time is the condition for their 
 occurrence, although they do not condition time ; were there no 
 motion and no acceleration, there would still be time, but were 
 there no time, they would be impossible. 
 
 Time is a one-dimensional series formed by asymmetrically 
 and transitively related instants. In the case, now, of any 
 specific finite, accelerated motion, one and only one specific 
 velocity is related to a specific individual instant. Yet this 
 instant is related also to other instants, and would retain this 
 
 » See Chaps. II., XXVII., XLI., XLIIL, and XLIV., u.
 
 REALISM'S HYPOTHESES 38S 
 
 relationship even if there were no acceleration and no motion. 
 Here, therefore, is a case of a term, namely, an instant, that is 
 in one specific relation to other terms, i.e., to other instants, 
 and that can, nevertheless, without loss or change of this rela- 
 tion, "come" into relation with another (complex) term, namely, 
 a velocity. Also, in the case of that series of points ivhich con- 
 stitutes the path of a moving body, any one point may retain 
 its relations to other points, and yet gain and lose the specific 
 relation of deing occupied by a material particle for an instant. 
 And finally, in the case of a specific acceleration, which is itself 
 a series of individually distinct velocities, there is for each 
 instant of the time and, also, for each point of the path (of the 
 moving body) one and only one specific velocity, and not an- 
 other. Each such specific velocity is gained and then lost — by 
 both the point and the instant to which it is related. In each 
 of these cases we have, therefore, an external and not a causal 
 relation. Such a relation also subsists in the case of the relation 
 between a specific acceleration as a ivhole, and the specific time 
 and path (as wholes) to which the acceleration is related. The 
 acceleration, the time, and the path are each a series, and the 
 relation between them is not causal, but functional or external. 
 However, with such instances of externally related entities 
 before us, namely, of relational wholes in which terms gain and 
 lose specific relations to other terms without being affected 
 thereby, we must grant the possibility of still other instances of 
 the same generic situation or state of affairs, and this possibility 
 is shown by empirical observation to be an actuality. For there 
 is evidence that, in at least certain instances of the knowing 
 situation, the object known retains its relationship to other 
 entities while its gains and loses the knowing relation. For exam- 
 ple, that this is the fact, is presupposed for any object or entity 
 being kno^vn as it really is. And since some entities and states of 
 affairs are assumed or presupposed to be so known, even by those 
 philosophers who explicitly advance a different theory of know- 
 ing, one may generalize, and, until good evidence to the con- 
 trary is found, maintain that only that theory of the knowing 
 situation is correct which recognizes it to be an indispensable 
 condition for genuine knowing, that the relation of the knowing 
 to the object known may be gained or lost without this gain or
 
 384 REALISM 
 
 loss having any effect on the object as known. For otherivise, 
 the knowing in "coming" into relation with the object (to be) 
 known will modify that object, and, therefore, make it different 
 as known from what it really is. 
 
 Indeed, it may be said, in general, that the relation between 
 knowing and object known is 720;^ causal, but functional or ex- 
 ternal. Knowing, thinking, reasoning are related to that which 
 is known so as to reveal the object as it really is both as a whole 
 and in some detail, and accordingly in a manner that may be 
 interpreted as a relation of correspondence after the model of 
 the functional relationship. From this state of affairs, which 
 holds both of the knowing situation and of the relation between, 
 e.g., time and any finite motion, and where we may argue from 
 either instance to the possibility of the other instance, our 
 fourth hypothesis is formed. 
 
 An object can retain its relation to other objects, and yet 
 both enter into and lose the knowing relation. So also can a 
 finite space gain and lose its relation to a specific finite motion. 
 Generalizing, we may say, (a) that some entities can retain 
 certain relations, and yet gain and lose others; further, that, 
 just as motion does not cause time and space, nor they cause it, 
 and just as time and space would be facts were there no ma- 
 terial particles either to move or to be at rest, although there 
 could be no moving or resting material particles were there not 
 both space and time, so also (b) may there be many instances 
 of entities so related that one logically {not causally) necessi- 
 tates the other, but not conversely. Indeed, the knowing situa- 
 tion seems to present just such an instance. For knowing pre- 
 supposes "something" that is known, although this "some- 
 thing" would be a fact, and would retain at least many of its 
 relations to other entities, were it not known. 
 
 Both of these principles or doctrines or hypotheses concerning 
 relations are parts of the general theory of external relations.'^'* 
 The one doctrine maintains, that one and the same entity may 
 stand in many relations to many entities, and may gain and lose 
 at least some of these relations quite independently of others. 
 The other hypothesis maintains, that certain entities are in the 
 relation of a one-sided, non-causal dependence. This relation 
 '"Chap. XXVI., 11., 1.
 
 REALISM'S HYPOTHESES 385 
 
 is that of logical suhsequency, with its inverse, the relation of 
 logical priority. A is logically prior to B, if B presupposes A, 
 but A does not imply B.^^ Both hypotheses assert in common, 
 that causal dependence and a resulting change and alteration 
 of the terms related are not of necessity involved in the mere 
 fact of relatedness. 
 
 Both principles have, however, an extensive empirical basis, 
 or, if regarded as hypotheses, receive an extensive confirmation 
 in the realm of both common sense and science. They are also 
 confirmed in any larger field of human knowledge in which de- 
 ductions are not made from their explicit denial, as is the case, 
 e.g., in Naturalism, which applies the principle of causation to 
 everything, even to human reason and conscience.^- But even 
 in such a philosophy both principles are presupposed at certain 
 junctures. They therefore express that which is to be regarded 
 as one aspect of the structure of the universe. 
 
 To give another instance of their occurrence, it may be said, 
 that, just as time and space are independent of matter and 
 motion, so are numbers independent of time and space. For 
 it is implied that were these last two entities not facts, never- 
 theless the real numbers, namely, the integers, rational frac- 
 tions, and irrational, both positive and negative, would be facts. 
 Also, it is implied, that if a continuous space and time were cre- 
 ated, then would these entities incorporate in themselves in re- 
 spect to the order of both points and instants, those entities and 
 relations which are identical with that relational complex which 
 is called the arithmetical continuum.^^ 
 
 These specific relations of the number continuum to con- 
 tinuous space and time, and of these in turn to matter and 
 motion, are instances of the relation of logical priority. There- 
 fore, it is very evident that this relation is qualitatively dif- 
 ferent and distinct from both temporal and spatial priority; 
 for the priority of numbers to space and time is itself neither 
 ^spatial nor temporal. 
 
 If, now, one seeks still other instances of logical priority, his 
 r^arch is readily and quickly rewarded. For the universe is 
 
 " Cf. Chap. XLI., XXII. 
 
 " Chaps. XXXII. and XXXIII. 
 
 " See Chap. XLIII,, vi,-x.
 
 386 REALISM 
 
 found to have that ''structure" which may be described as a 
 stratification of the main types of entities. This stratification 
 is due to the fact that each main type is logically necessitated 
 or presupposed by that type which is logically subsequent, but 
 which does not, conversely, imply or necessitate it. The fol- 
 lowing are some of the main types or strata of reality in the 
 order of their logical dependence, the later named types being 
 logically prior to the earlier named, the earlier named, logically 
 subsequent to the later named. The order is: (1) psychical proc- 
 esses, subdivided, perhaps, in the order of their dependence, 
 into (a) reasoning, (b) imagination, (c) memory, (d) sense 
 perception, and (e) certain instincts and instinctive feelings; 
 (2) animal and plant behavior consisting of reflexes and 
 tropisms; (3) complex and also relatively simple physiological 
 processes; (4) chemical and physico-chemical processes; (5) 
 physical processes and "things," such as heat, electricity, light, 
 moving bodies; (6) pure, actual motion in accordance with 
 causes, as specified by the laws of Newton; (7) motion in gen- 
 eral, subsist ential, and not existential, in accordance with the 
 general concept of cause, but not as this is specified by the 
 Newtonian laws or the other orthodox mechanical principles; 
 (8) space and time (it being difficult to say that either of these 
 depends on the other) ; and (9) finally, the real numbers, 
 positive and negative. 
 
 There is doubtless opportunity for much correction and ex- 
 pansion of this list, since the application of the principles which 
 it illustrates is to be determined only empirically. However, 
 further details that are involved in this theory of the stratifica- 
 tion of the universe will be considered in that part of this 
 section which deals with the realistic and neo-rationalistic 
 structure of the universe.^* 
 
 We may now consider in some detail our second principle, 
 namely, that "one and the same entity may stand in many 
 relations to many entities, and may gain or lose at least some 
 of these relations quite independently of others." The list of 
 instances by which this principle is empirically confirmed is 
 too long to enumerate completely, but a number of important 
 instances may be presented. 
 
 " Chaps. XLIIl, and XLIV,
 
 REALISM'S HYPOTHESES SSf 
 
 One of these instances is that of the motion of a material 
 body, or of its center of mass. In this instance (1) each point 
 remains identical with itself, i.e., is that individual point, and 
 (2) each point retains its relation to other points, and yet 
 lacks, gains, and then loses the relation of being occupied at a 
 specific individual instant by the center of mass. So also does 
 the center of mass remain that individual center, and yet first 
 lack, then gain, and then lose its relation of occupying a specific 
 point for a specific instant. 
 
 These are examples of our principle as it is found in the 
 world of physical events. By them it is shown, however, that 
 certain events presuppose or imply entities that are independerit 
 of some, even if not of all relations. Those relations which 
 form a minimum, and which can only with great difficulty be 
 postidated as absent (if, indeed, they can be thus postulated 
 at all), are similarity and difference, and identity or individ- 
 uality. But other relations, s^ich as causation and correlation, 
 can readily be lacking. 
 
 An entity, such as a point or an instant, that is presupposed 
 as an idtimate, non-complex element out of which complexes 
 are *'made," and that is related to other simple elements by 
 similarity and difference, is logically atomistic. It may gain 
 and lose other relations without prejudice to its own inherent 
 character. But whether one can find among the things as op- 
 posed to the events of the physical world, instances of entities 
 that are atomistic, and that could lose all of their relations 
 without being altered thereby, is an open question. It would 
 seem, of course, that at least most physical tilings such as plants 
 and animals, chemical mixtures and compounds, are altered and 
 modified by virtue of gaining and losing relations to other 
 things. But it would also seem that this implies, on the one 
 hand, ultimate entities, such as atoms or electrons, that can 
 gain and lose relationships without being altered thereby, and 
 that, on the other hand, through the gain and loss of specific 
 relations, specifically new qualities and characteristics appear 
 and disappear. In all such cases, however, the whole that results 
 (from the gaining of new relations) is not the mere additive 
 result of the parts, but is characterized by qualities which the 
 parts do not possess. There is, in other words, a non-additive,
 
 388 REALISM 
 
 a creative synthesis}^ Recognition of this fact goes far toward 
 solving such problems as are raised, e.g., in biology between 
 vitalism and mechanism in the issue as to the nature of the 
 organism. For if a whole is not the mere additive result of its 
 parts, then the organism, plant or animal, is marked by char- 
 acteristics that are not to be found among so-called inorganic 
 "things," although its ultimate parts are only the same physical 
 forces and chemical elements that are found in this inorganic 
 realm. 
 
 But in addition to entities such as atoms or electrons, which 
 in the world of material "things" seem to be presupposed as 
 unalterable ultimates, in order that the "things" composed of 
 them may he alterable, there also seem to be many other entities 
 that can lose or gain certain specific relations without being 
 altered thereby. Thus, if the relations won or lost can be 
 those of similarity and difference, of "greater than" and of 
 "less than," of inclusion and of exclusion, then is there no 
 alteration of the terms concerned, since 7io causal relation of 
 necessity accompanies these other relations. The causal relation 
 may subsist side by side with, but not by virtue of other rela- 
 tions. Indeed, non-causal relations subsist not only among ele- 
 ments, such as electrons, but also among the complexes that are 
 made up of these elements, although the complexes may also be 
 causally related. And yet in addition to this relation (among 
 complexes) there may be other relations, the gaining or losing 
 of which has no modifying influence whatsoever on the entities 
 concerned, an illustration in point being the relations of 
 similarity and dissimilarity, of "greater than" and "less than," 
 and of inclusion in, and of exclusion from a class. 
 
 The same situation in respect to relations is found among 
 the several other types of entities, namely, among psychical 
 existents, and among subsistents, only, in the case of the former 
 there are relations of causation, while, in the case of the latter, 
 specific causal relations are absent, and other relations play the 
 dominant role. As regards psychical existents, however, it 
 would seem doubtful whether there are psychical elements 
 analogous to the atoms and electrons of the physical world, 
 although there are doubtless, among psychical entities, relations 
 " Chap. XLIII., IV., v., VI.
 
 REALISM'S HYPOTHESES 389 
 
 that are not causal, as well as those that are. Modern psy- 
 chology is, as is well known, based on the position (or postulate) 
 that causal relations are present among psychical entities. But 
 the fundamental error here as elsewhere is to insist either ex- 
 plicitly or implicitly, that there are no terms that are not 
 causally related, and no relations that do not of necessity carry 
 causal relations with them. Such an insistence or postulation 
 results in Pragmatism and Naturalism, yet it is one that can be 
 as surely discredited as can anything in the whole field of 
 science and philosophy. 
 
 There may, therefore, be no psychical elements after the 
 manner of electrons and atoms, and yet there may be a causal 
 relationship between certain psychical processes, and none be- 
 tween others. Thus, in so far as particular instances of con- 
 sciousness appear and disappear, there are conscious processes, 
 and the opportunity for their causal connection. But, also, in 
 so far as entities, — including states of affairs, sithsistents and 
 existents, individual terms, qualities, relations, and events — 
 must, in order to be known as they really are, not he altered 
 by the process in which they are known, it must be admitted 
 that they get into the knowing relation, and yet that there is 
 an absence of causation. 
 
 Further, in so far as any psychical process, such as memory 
 or perception, is specifically different from other "things." it 
 is of itself qualitative. But this does not demand a suhstance- 
 like substratum in which the specifically different quality shall 
 inhere. Some of the entities of the universe may be substances, 
 but certainly not all are, and some of those that are not, may, 
 as it were, be disembodied qualities or entities that are not 
 qualities of anything, but that are qualitatively different from 
 other "things." There is a large field for investigation con- 
 cerning these possibilities, and one cannot make dogmatic asser- 
 tions as regards the details of the position, that knowing and 
 perhaps consciousness in general are qualitatively spicijic rela- 
 tions into which entities get when they become known. But the 
 evidence is strong against knowing and consciousness being 
 either substance or energy, or qualities of these entities, and 
 also against their being causally related to all other "things," 
 especially to the entity that is known.
 
 390 REALISM 
 
 While, now, both psychical and physical existents are in some, 
 and doubtless in many eases, subject to causation, suhsistents ^* 
 lack this relation. Therefore the relations that do hold among 
 these entities do not carry with them the further relation of 
 causation and so either the mutual or one-sided alteration of 
 related terms. Thus, among subsistents, one point does not 
 cause, alter, or change another point, nor one instant another 
 instant. Nor is space caused or modified by time, or conversely, 
 though of course the two are related. Also the perfect circle 
 is not caused by the physically round things that approximate 
 to it, nor by the other geometrical figures. Yet suljsistent en- 
 tities are related to one another, and, in some cases, in such a 
 way that one entity seems to necessitate, or be necessitated by 
 others. But this relation is one of implication, and not of 
 causation. 
 
 Whether, indeed, change of any kind is possible in the realm 
 of subsistents, is an open question. If it is not, then relations 
 in this realm cannot be won and lost as they are among ex- 
 istents, and yet, by the method of analysis in situ, it is discov- 
 ered that certain subsistent entities are externally and func- 
 tionally related, after the manner of those existents which do 
 gain and lose certain relations without being altered thereby. 
 
 The hypotheses advanced in the foregoing discussion are also 
 important because of their bearing on still other philosophical 
 problems. For both the formulation and the confirmation of 
 these hypotheses we have thus far found a number of instances 
 (1) of terms that are related and yet that do not causally affect 
 one another, (2) of entities that are logically prior to others, 
 and (3) of terms that gain and lose relationships without being 
 altered thereby. If, now, there are "these instances" — of this 
 character, there may be still others, of similar character, and 
 further specific hypotheses can be formed for the solution of 
 specific problems. 
 
 07ie of these problems concerns the, for us, important situation, 
 (1) that the specific conclusions which one obtains in endeavor- 
 ing to solve problems by deductive reasoning are conditioned 
 by the assumptions that one makes, either explicitly or implicitly, 
 to start with, and (2) that one reaches opposed results by rea- 
 " See Chaps. XLIII. and XLIV-
 
 REALISM'S HYPOTHESES spi 
 
 soning from opposed assumptions}'^ This very possibility, how- 
 ever, of freeing one's self from one universe of discourse, con- 
 ditioned by one set of assumptions, and of then putting one's 
 self into another "universe," leads to the specific hypothesis, 
 that any specific reasoning process is certainly not causally 
 related to all other "things," and perhaps not even to 
 other conscious processes, or even to other specific reasoning 
 processes. 
 
 The meaning of this hypothesis must, however, be made more 
 clear and precise. To do this, it may be again emphasized, that 
 one of the main postulates of one great line of philosophical 
 development is, that, although all "things" may be related in 
 many other ways, they are also all related causally by virtue 
 of being related at all.^^ This assumption is, as we have seen, 
 the product of the domination, in the tradition, of the Aris- 
 totelian logic, with its emphasis of the physical thing as the 
 great type phenomenon.^'' It is an assumption that conditions 
 Locke's philosophy, and through this, Berkeley's and Hume's; 
 it conditions Kant 's Phenomenalism and the naturalistic systems 
 of the Mills and of Herbert Spencer ; and, finally, it conditions 
 modern Pragmatism with its doctrine, that, because of uni- 
 versal causation, all things evolve, ivith a resulting (causal) 
 selection of only that which is fit and useful. If, now, causa- 
 tion applies to all "things," it applies to reason. 
 
 Theoretically, therefore, hy this philosophy, we are not free 
 to reason, in order, in some cases, to arrive at genuine knowing, 
 tut are forced hy certain causes to reason in certain ways, 
 namely, in just the way, in each specific instance, that we do 
 reason. For universal causation means not only that. Whatever 
 is, is, but also that. Whatever is, must be. If, therefore, "to 
 reason" be defined as meaning to discover and conform to 
 (objective) relations of implication, success in reasoning thus 
 would be a matter of mere chance, in that sense of the term 
 chance by which it is identical with our ignorance of detailed 
 yet ruthlessly operating causes. 
 
 In accordance, therefore, with any philosophy that maintains 
 the universality of causation, no reasoning is free to discover 
 relations of implication, but all so-called reasoning (in normal 
 
 " iSee Chap. I. " Chaps. XXIX.-XXXIII. " Chap. III.
 
 S92 REALISM 
 
 persons) bears the same relation of causal determination to, say, 
 other mental processes, that the vagaries of the insane man do 
 to certain dominating and distorting fixed ideas in his con- 
 sciousness. The hypothesis of a universal causation is accord- 
 ingly incompatible with our freedom to change from one set of 
 assumptions or universe of discourse to another, and, if we do 
 so change, it is only because we must, and not because ive may. 
 
 But at this point the interesting situation is disclosed, that 
 the very hasis on which this "causal position" is itself taken, in 
 opposition to the "freedom position," is one that presupposes 
 the freedom, and not the causation of our processes of assuming 
 and of reasoning. For, briefly, we seem to be free either to 
 assume causation, and reason from this assumption, or to assume 
 the freedom of reason, and to reason from this. Thereby, how- 
 ever, the position or postulate, that all cur postulating and 
 reasoning is caused, is itself shown to be self-contradictory, and 
 the opposed position, that there is a freedom in these processes, 
 is shown to be self-confirming. The latter assumption is alone 
 consistent with the way or manner in which it is made, namely, 
 freely, while the former and opposed hypothesis contradicts the 
 very condition for its own riaking. The advantage clearly lies 
 with the second position. 
 
 As opposed, therefore, to the naturalistic and pragmatistic 
 contention, that all entities causally influence, modif}^ and de- 
 termine one another, we now have the hypothesis, that among 
 the entities of the universe that are not connected with others 
 by the relation of causation, reason is one. However, this does 
 not mean that reason is undetermined, or that it is lawless. It 
 means, rather, much the same as would a similar statement con- 
 cerning time and space. These entities are not caused by any- 
 thing else, nor are their parts, such as instants, points, lines, 
 and the relations holding between these parts, causally con- 
 nected. Yet each is a field in which law "holds good" and is 
 inherent. In this sense each is determined and each has a quale 
 which the other lacks. 
 
 Much the same thing can be said of reason. That reason is 
 not causally determined hy something else is the one principle 
 on which one can explain that which is reason's specific func- 
 tion, namely, the discovering of implications as the objective
 
 REALISM'S HYPOTHESES 393 
 
 threads of necessity within a complex state of affairs}'^ This is 
 the principle of the freedom of reason, while the function of 
 discovering implications is reason's peculiar quale. Performing 
 this function in innumerable instances under varying specific 
 circumstances, reason acts in accordance with law,"^ and is 
 inherently determined; but in so acting it is not caused by, 
 although it is related to, other events and processes. 
 
 This specific hypothesis of the freedom of reason receives 
 confirmation from two sources. In the first place, as has been 
 said, the freedom of reason is presupposed as the sole condition 
 on which the otherwise machine-like causal grasp of tradition,^^ 
 training, and personal predisposition on all our mental proc- 
 esses can be avoided. If it is open to reason even to help to 
 discover "things" as they really are, then reason must be free 
 to conform to "things," — functionally, perhaps, — and not he 
 completely determined causally by preceding mental processes 
 after the modus operandi in mente of the insane man. And in 
 the second place, if we may trust our direct experience, and not 
 maintain contrary to or against it, that freedom is but ignorance 
 of detailed causes, then again and again does each one of us 
 receive direct confirmation of reason's freedom. This occurs 
 in every case, where, e.g., the possibility of error of judgment 
 is granted, and the re-examination of grounds is urged. Also, 
 that we can form hypotheses that are contrary to fact, then to 
 discover the implied consequences of these, retracing our steps 
 to begin over again, if error of judgment is surmised, — that we 
 can do all this is experienced by all of us, especially by one who 
 insists that this very experience is itself illusory, and that it is 
 really an instance of determination by detailed causes of which 
 we are ignorant. For does not he who is himself thus convinced 
 of the correctness of the naturalistic doctrine, endeavor to con- 
 vince others, thus tacitly to presume in them the freedom of 
 their reason to turn from the error of their non-naturalistic way 
 to the truth of naturalism? But does not the naturalistic and 
 the pragmatistic philosopher thus contradict in a very practical 
 way the very teachings and implications of his own philosophy? 
 
 '" See Chaps. I., XIII., i., and Chap. XXI. 
 -'^ See Chap. XLIIL, v. and VI. 
 «' See Chap. III.
 
 394 REALISM 
 
 This principle of the freedom of reason to discover (objective) 
 implications and to be determined by them and by the structure 
 of that which is known rather than by preceding physical and 
 psychical causes, is very similar to the principle of the freedom 
 of the will. Both principles are opposed to the naturalistic doc- 
 trine of a universal causation, and yet neither means lawlessness. 
 For both a free reason and a free will are related to other 
 entities functionally and externally. Each forms a new and 
 higher stratum of psychical existence that has its own peculiar 
 laws of action,-^ and that is related to other strata, but not 
 causally. 
 
 By free reason, now, we discover entities that do not exist 
 but are nevertheless factsr^ States of affairs holding of ex- 
 istent entities, relations of implication between these states of 
 affairs, and logically consistent possibilities are examples of 
 such facts. Thus only by free reason and not by sense percep- 
 tion, do we discover, e.g., the perfect circle; for this does not 
 exist in nature, and so cannot effect us causally. Yet we know 
 this entity, and from its implications can discover still other 
 entities, and are actuated and influenced by it as an ideal object. 
 In quite a similar way, reason, when it is directed to the dis- 
 covery of ethical values, reveals ideals, which, although they 
 may never have been realized in human development, neverthe- 
 less are of just that character, — as ideals — that they demand 
 realization if possible.-^ The knowledge of these ideals may be 
 said, in accordance with the terminology of Kant, to come 
 through "practical reason," while the imperative demand, pre- 
 sented by them to human action and will, that every effort ought 
 to be made to realize them, may be said to be given to conscience. 
 
 The hypothesis that there is such a freedom of the will by 
 virtue of which one can act, not in accordance with what has 
 been, but with what ought to be, is confirmed in two ways. In 
 the first place, this hypothesis is presupposed as the sole condi- 
 tion on which a human being can he something other than a 
 mere machine that is produced by heredity and environment, 
 and that is causally compelled to do all that it does by antecedent 
 physical and mental events. It is thus the sole condition on 
 which a human being can be held responsible for his acts and 
 
 " Chap. XLllL, V. and vi. -* Chap. XLTV., u. ■' Chap. XLV.
 
 REALISM'S HYPOTHESES 895 
 
 his motives in any other sense than, e.g., a stick of dynamite is 
 held responsible for exploding. The dynamite is kept in a 
 place where there are causes that prevent its exploding, or 
 where, if it explodes, it will do the least harm. Such, also, must 
 be the defense, e.g., for imprisoning a human being, if he is 
 completely determined causally, and cannot act in accordance 
 with ideals, thus to hold himself responsible and to feel the 
 command, "Do the right." To punish him for the sake of 
 revenge only repeats the problem, since it means either that 
 men must do this as themselves mere machines, or that society, 
 in thus proceeding, acts in harmony with that ideal of justice 
 which our practical reason gives us. 
 
 But in the second place, the hypothesis of a free will is con- 
 firmed by the direct experience of most men. Most men do 
 have ideals, do feel their command, and do experience the free- 
 dom to obey this command and to go counter to the desires and 
 impulses that are causally and instinctively rooted in human 
 nature. 
 
 From the advocate of Naturalism the retort comes, however, 
 that this direct experience of freedom is but the hypostatization 
 of our ignorance of detailed causes, and that our so-called volun- 
 tary acts are really caused, though we do not know by what. 
 The reply to this retort is, that even causal complexes presup- 
 pose non-causal terms and relationships. For example, every 
 mechanism, and every machine presuppose time and space as 
 entities that are not causally, but that are functionally related 
 to them. In quite a similar way a human being can, physi- 
 ologically, and, to a certain extent, psychologically, be a causal 
 complex, and yet be related to and, indeed, be determined by 
 entities which, like ideal justice, do not exist, but are neverthe- 
 less objective facts.-^ Discovered by pure and by practical 
 reason, these entities appeal to conscience as ideals that are 
 worthy of the highest regard, and that in their own way actuate 
 a man to action quite as certainly as do causally-related 
 entities. 
 
 These developments with reference to the freedom of reason 
 and of will, and, in general, to non-causal relationships 
 among terms, lead to three further hypotheses, which may 
 *o See Chap. XLV.
 
 396 REALISM 
 
 advantageously be discussed together. These hypotheses are as 
 follows : — 
 
 Philosophical problems not generated hy their history 
 
 Hypothesis V. If reasoning processes are free in the sense 
 that they are not causally related either to other psychical proc- 
 esses or to the entities reasoned about, then, throughout the 
 history of human thought, problems in philosophy and science 
 have been problems, 710^ because they have had a history, hut 
 because they concern matters of fact. In other words, reason 
 has been free to investigate fact, and to ignore and challenge 
 the tradition in every specific field of subject and of method.^^ 
 
 Truth an external and non-causal relation 
 
 Hypothesis VI. If not all "things" are related causally, 
 and if one and the same "thing" can stand in independent rela- 
 tionships to different "things," then the natiire of truth may 
 not be identical, as Pragmatism claims it to be, with causally 
 determined concrete results, with efficiency, and with the pro- 
 duction of satisfaction, but it may be an external and non-causal 
 relation between knowing and that which is known. 
 
 The confirmation of this hypothesis invalidates the position 
 of Pragmatism and of Naturalism that all that survives in a 
 causal system of a general struggle for existence must for that 
 reason be usefid, and that truth is identical with this causal 
 efficiency and usefulness.^ ^ 
 
 Analysis does not alter the '* thing" analyzed 
 
 .'-'Hypothesis VII. If not all "things" are related causally, 
 then not only can an analysis in situ be made in at least certain 
 instances, but also certain classes of entities can be experi- 
 mentally removed from their context without thereby being 
 altered, and in both cases the parts thus discovered can be 
 revealed as they really are, both quite unaltered by the analysis, 
 and in most cases as qualitatively different from the whole that 
 is analyzed. 
 With this hypothesis confirmed, the anti-intellectualistic 
 " Cf. Chap. I. " Chaps. XXXII. and XXXIII.
 
 REALISM'S HYPOTHESES S97 
 
 claim, that all analysis as such is falsification, is invalidated;-^ 
 for hy it the discovery of parts, whether these are left in situ 
 in the whole, or are taken out of it, is possible, at least in many- 
 cases. The (act of) analysis does not itself alter the entity 
 analyzed, and the only difficulties in the way of analysis are 
 empirical. 
 
 The confirmation of the first of these three hypotheses is 
 found in the facts of the historical development of both phi- 
 losophy^ and science, especially science. Thus, even if there 
 are certain exceptions, the sciences and most other "bodies of 
 knowledge" concern matters that yield proMems, not because 
 these problems have had a history, but because they contain 
 something of which we are ignorant, and of which we desire 
 knowledge. The science of history is itself a good example of 
 this principle, since history deals, not with the history of his- 
 tory, but with the facts of history, and the case is 
 quite similar with biology, chemistry, and other sciences. 
 Indeed, one may go so far as to say, that, if there 
 were not always questions of fact for an inquiry that is 
 unbiased by tradition, then would there have been no historical 
 development of any science — at least there could have been no 
 start, no first problem. But there have been first problems, 
 and then new ones which, though they were suggested by 
 previous problems, nevertheless concerned non-historical facts. 
 The discovery by Galileo of the functional ]'elationship between 
 acceleration and time is a good example of both a problem and 
 a method for solving it that primarily concern fact, and not 
 history and the historical development of problems. 
 
 The bearing of this principle upon the history of philosophy 
 is important. For by it one can recognize, in the first place, 
 that certain problems are indeed created by their own historical 
 genesis, and for that reason are often false problems. Thus, 
 e.g., the problem as to the weight of phlogiston in the latter part 
 of the eighteenth century was a false problem that was created 
 by the antecedent hypothesis {current in that century), that, 
 all combustible substances contained a substance, phlogiston, 
 which was given off when things burned. As a result a thing 
 should be lighter after burning than before. When, however, 
 " Cf. Chap. XXXIII., I. and il.
 
 SOB REALISM 
 
 Lavoisier discovered that the products of combustion were 
 heavier than the original substance, the discrepancy was ac- 
 counted for by the further false hypothesis, that phlogiston was 
 of negative weight, i.e., that it possessed levity. 
 
 The very recognition that there is such an historical genesis 
 of some problems is the touchstone, however, by which to dis- 
 tinguish in some cases between the true and the false. One thus 
 becomes free and able to turn from those universes of discourse 
 in which problems, methods, and solutions are determined by 
 tradition, authority, and imitation, to those fields in which there 
 is unbiased, free inquiry into what the facts are, irrespective of 
 consequences. Indeed, to turn from the traditional view, that all 
 "things" are causally connected whether by virtue of heing 
 related in other ways or for some other reason, and to entertain 
 the opposed hypothesis, is a good example of that freedom of 
 procedure which is necessary if one woidd investigate facts and 
 not continue the study of false prohlems.^'^ 
 
 In conclusion, it may be said, that the study of the historical 
 and oftentimes distorting influences on the development of 
 human thought may be of fascinating interest,^^ but that of 
 equal interest and greater importance are the problems to which, 
 whether they be new or old, reason turns in its cherished freedom 
 of breaking from the past in order to look to the future. Even 
 as the point divides the line into two segments that are not 
 causally connected, so may reason release us from the thraldom 
 of the past and place us in the freedom of a realm of new 
 inquiry that is unbiased by our desires and fears.^^ 
 
 The second of our hypotheses, the anti-pragmatistic, is con- 
 firmed in a number of ways, though chiefly, perhaps, by the 
 tacit presuppositions of Pragmatism itself. For, on the one 
 hand, by the implicit principles of the pragmatic theory, there 
 is, as has been previously pointed out,^^ no legitimate oppor- 
 tunity for the distinction between the true and the false, since, 
 by these principles, all that is still persisting in the development 
 of organs, functions, and the like, bears the stamp of either a 
 present, a lingering, or a coming usefulness. Therefore, 
 wherever there is occasion for applying Pragmatism's definition 
 
 »» Cf. Chap. I. " See Chap. I. 
 
 "1 Chap. XXVIII. •' Chap. XXXIII.
 
 REALISM'S HYPOTHESES 399 
 
 of truth, namely, that truth is identical with usefulness, one 
 must say, that all persisting theories, laws, and ideas are true. 
 The attempt to invalidate this conclusion by the argument, that 
 it leads to the admission of rnany contradictory truths, fails of 
 its purpose, since Pragmatism, by its own preferred tenets, 
 accepts no standard, but allows that truth comes to each to 
 whom satisfaction results from any idea, belief, theory, or law. 
 For who shall say, that what is useless to one, is not useful 
 to another ? Then may not I make my own truth, and you make 
 yours, even though the very "holding of an idea to be true," 
 as, e.g., in the lelief in immortality, is the condition for the 
 satisfactory working of that idea? 
 
 This is Pragmatism's own explicit doctrine. No standard of 
 truth, but many truths, even as many as there are outcomes that 
 give the warmth of some satisfaction! No falsity — since every- 
 thing that persists is useful in some sense — to some one ! 
 
 True, therefore, must be those great philosophical systems that 
 have so persistently stood the test of time, and that are useful, 
 in the pragmatic sense, in that they give satisfaction to their 
 adherents. Such systems include Phenomenalism and Objec- 
 tive Idealism. Yet, on the other hand, Pragmatism is itself a 
 philosophy, in respect to a number of specific problems, that 
 is advanced as true in opposition to these philosophies. Thus 
 Pragmatism maintains against Phenomenalism, that, e.g., there 
 are no a priori principles which make up the unchangeable 
 "sti-ueture of the reason," but that all such so-called categories 
 are only specific adaptations and convenient modes of reaction. 
 Against Absolutism Pragmatism maintains that, e.g., the doctrine 
 of an unchangeahle eternal standard of truth and of right is 
 false, and that these concepts themselves and all that may come 
 under them are but ephemeral and changing ideas and ideals. 
 And against Objective Idealism, Pragmatism holds, that there is 
 not any One Absolute Spirit, Ego, Self, Reason, or Will. How- 
 ever, in thus maintaining that these opposed philosophies are 
 false in such respects, and that it alone is true. Pragmatism 
 grants a distinction between the true and the false, and thus is 
 inconsistent with its own explicit doctrine, that whatever per- 
 sists and develops and is satisfactory and useful in some sense 
 is a fortiori true.
 
 400 REALISM 
 
 But Pragmatism departs from its own explicit teachings in 
 still other respects. Thus, as concerns itself, it presupposes an 
 absolute truth, such as certain opposed systems maintain, with 
 the failure to obtain this truth due only to empirical difficulties, 
 and not to an evolutionary shifting in truth itself. Also, in 
 maintaining against other systems that, when the satisfactory 
 outcome of an idea, a theory, or a belief is itself the result of 
 holding such an idea to be true, this outcome is not a test or 
 character of truth, Pragmatism grants that there is a very 
 fundamental difference betiveen the test and the nature of truth. 
 Thus, with respect to itself, Pragmatism employs this distinction 
 in maintaining that the successful working of its own theory is 
 due, not to the belief in this theory, but to the fact that it repre- 
 sents or corresponds to an objective state of affairs. But it 
 thereby "makes" truth a relation of, perhaps, functional cor- 
 respondence between judgments and objective states of affairs, 
 and presupposes, tacitly, at least, that its own explicit theory 
 works successfully because or in that it is true, rather than that 
 it is true, because it works successfully. 
 
 The" third hypothesis, namely, that analysis is as reliable a 
 method for discovering and revealing entities as are other 
 methods, such as feeling and intuition, is confirmed in innumera- 
 ble instances. Such a confirmation is reached by first noting 
 that over and above an insistence on its empirical difficulties, 
 there is no attack on analysis ^* as such that is not made either 
 from the standpoint of the dogmatic assumption, (1) that non- 
 analytical methods alone reveal facts, or from the demonstration 
 (2) that analysis introduces contradictions at one or at many 
 points, or (3) that it, by its very nature, alters and therefore 
 falsifies the "thing" analyzed. The first, the dogmatic position, 
 can be neglected, since it very evidently begs the very question 
 at issue. One can with equal justification dogmatically maintain 
 that analyses are made as a matter of fact, and do reveal enti- 
 ties. The second position, that analysis introduces contradic- 
 tions, is found to be dependent upon the prior misinterpretation 
 of correct analyses, e.g., that the "elements" of motion are 
 rests, and therefore collapses as an attack as soon as the 
 actual results of (correct) analysis are correctly stated. 
 " Cf. Chaps. XXIl.-XXIV.
 
 REALISM'S HYPOTHESES 401 
 
 'Accordingly only the third position needs a rebuttal at this 
 juncture. 
 
 This rebuttal is readily found by first ascertaining what that 
 major principle is from which this third position is derived. 
 And that principle is readily seen to be the now familiar princi- 
 ple, that all "things" and entities that are related in any other 
 way are perforce also related causally. From this principle 
 several deductions are made. One is, that the very act of 
 analysis itself causally modifies and so falsifies that which is to 
 be analyzed; another is, that analysis can proceed only by 
 removing certain entities out of their collocation and thus away 
 from the causal influence of other entities, so that, as analyzed, 
 any complex of parts is not the same as it is as unanalyzed. 
 
 Whether this position is disproved, and our hypothesis con- 
 firmed, finally comes down, therefore, to a question of purel.y 
 empirical fact, namely, Ave there, or are there not, instances of 
 terms that are not related causally f To the writer it seems to 
 be undeniable that many such instances are discovered. The 
 relations that motion, acceleration, change in general, and 
 matter bear to space and time are excellent instances. But 
 this empirical fact, together with the fact that in many attacks 
 on analysis the actual extant analyses are misstated, leads the 
 writer to conclude, that the modern attack on analysis fails at 
 every point, and that our third hypothesis (of the foregoing 
 three) is empirically confirmed.^^ 
 
 In no case does the trouble lie with intellect or with analysis 
 as such, but only with the false presuppositions that are made 
 with reference both to the character of the relationship between 
 the parts of a whole, and to the methods that are attributed to 
 intellect.^® Curiously enough, also, it may be remarked in con- 
 clusion, all attacks on analysis are themselves made by an 
 analytical argument and method. The suggestion lies near, 
 therefore, that the difficulties that may beset analysis are not 
 inherent, but are only such empirical ones as are common to all 
 methods of arriving at truth and fact. 
 
 These criticisms of Pragmatism and Anti-intelleetualism lead 
 to the formulation of two final hypotheses, which, as confirmed, 
 " Chap. XXXIII., I. and ii. •" Chap. XXXIIL, i. and ii.
 
 402 REALISM 
 
 make up further fundamental doctrines of Kealism and of 
 Eationalism. 
 
 Individualism and Skepticism are logically false positions 
 
 Hypothesis VIII. If Pragmatism (or any other theory) 
 either presupposes or explicitly accepts the positions, (1) that 
 there is a difference between truth and falsity, and (2) that it 
 itself is true in the sense that it is a theory to be generally 
 accepted, then the two philosophical positions of Individualism 
 and Skepticism, that are old in history, but that are today 
 founded on Evolutionism, are false. Skepticism is false in its 
 position, that there is no truth, if truth is an absolute definite 
 relationship between the state of affairs to be known and the 
 knowledge of this, and Individualism is false in its doctrine, 
 that there are as many truths (in any sense) as there are indi- 
 viduals. 
 
 Analysis reveals facts, and Mysticism {of a certain type, at 
 least) is false 
 
 Hypothesis IX. If there are innumerable instances of reali- 
 ties that are revealed by analysis, with this a method that is 
 quite as well authenticated as is the opposed one of intuition 
 and immediate experience, and also if any explicitly anti- 
 analytical position can itself he founded and defended only by 
 ayialytical methods, then must analysis be accepted, together, 
 perhaps, with intuitive and immediate experience, as revealing 
 facts, and any type of Mysticism that would deny this must ,be 
 false. 
 
 Both Skepticism and Individualism are derivable, within the 
 larger frame of Pragmatism, from the assumptions (1) that 
 Evolution is universal; (2) that all "things" are subject to the 
 rigorous sifting process of a universal causation; (3) that all 
 surviving and persisting entities are only of instrumental value 
 in the furthering of life; and (4) that truth is identical with 
 usefulness. It is, now, particularly the second of these postulates 
 that is the basis upon which both the Skepticism and the
 
 REALISM'S HYPOTHESES 403 
 
 Individualism of the ancients was developed.^^ For, if each 
 individual is but a congeries of causally interacting atoms, then 
 there is little probability that any two individuals will be the 
 same; each individual will be peculiar to himself and different 
 from every other; and, as between two or more individuals, 
 words will not mean the same, nor percepts and concepts be 
 the same, so that in general each individual is completely shut 
 up within himself.^ ^ 
 
 Modern Individualism ^^ merely adds to these ancient doc- 
 trines the further position, that each individual is in all respects 
 the product of the universal causal process of evolution, and is, 
 therefore, in constant change, so that (1) the facts and experi- 
 ences of no two instants are ever the same, except by the rarest 
 chance, (2) that only the experience of the moment is to be 
 accepted, and (3) that anything general which might connect 
 moment with moment must be spurned. Thus, as an advance 
 on ancient Individualism, we have in the modern doctrine, 
 owing to the influence of Evolutionism, the individualism of the 
 passing moment. 
 
 Skepticism *^ also, as another conclusion from these same 
 premises, lags not far behind its mate in running its race and 
 spending itself. Indeed modern Individualism is one argument 
 for Skepticism. For, if everything is quite concrete, particular, 
 and individual, then there is nothing general, and if everything 
 is shifting and sifting in a universal causal flux and flow, then 
 there is no place for truth in the sense of a common state of 
 affairs that is discoverable both to you and to me even as we 
 change and grow and develop. But Skepticism, as thus derived 
 from the (incorrect) assumption, that all "things^' change and 
 evolve, also means, that truth itself must change, and that there 
 
 ^' Prominent among the Greeks and the Romans who held to the indi- 
 vidualistic position were Protagoras, Prodicus, Gorgias, and Hippias, the 
 sophists; also Democritus, Epicurus, and Lucretius; cf. the dialogues of 
 Plato; also Epicurus, by A. E. Taylor, and Marius the Epicurean, 2 vols., 
 1910, by W. Pater. 
 
 ^' E. g., Protagoras. 
 
 " Among modern individualists are Leibniz, Nietzsche, works ed. by 
 Tille; Max Stirner (pseud.), Der Einzige und sein Eigenthum ; also, im- 
 plicitly, if not explicitly, many pragmatists are individualists. 
 
 *" In the list of prominent skeptics are Pyrrho (.365-270 B.C.), Carne- 
 ades (213-129 B.C.), ^nesidemus (active 180-210 A.D.), Montaigne 
 (1533-92), Pierre Bayle (1647-1706). Also Descartes in his method, and 
 Hume in certain parts of his philosophy, are skeptics.
 
 '404. REALISM 
 
 is no truth in the usual sense of the term. Indeed, in this evo- 
 lutionistic scheme of "things," truth seems to be regarded as 
 mere idea or concept that is psychical in character, and that 
 is imbedded in the same causal flux and flow in which all other 
 "things" are assumed to be imbedded. 
 
 Skepticism is also derived by an (incorrect) inductive gen- 
 eralization from the admitted growth and development of 
 science, philosophy, and religion, particularly from the lack of 
 absolutely certain knowledge, and from the diversity of opinion 
 in any field, at any time. It is argued that, since there is no 
 absolute criterion of truth, and since what was once held to be 
 true is not in every case now so regarded, truth itself is always 
 shifting. The further conclusion is also drawn, that truth as 
 absolute is a non-entity, or that it is only a word, or a par- 
 ticular, concrete experience, recurrent and at present useful, 
 but open to elimination along with everything else that may 
 no longer serve the needs of the living organism. 
 
 It is quite evident, however, from a little inspection, that 
 some of these conclusions that are identified with Individualism 
 and with Skepticism do not follow from the premises that are 
 assumed. Thus, quite apart from questioning the universality 
 of the causal relation and of evolution, one may doubt whether 
 the fact of differences among individuals precludes the possi- 
 bility of similarities, samenesses, and identities. However, 
 Individualism, and perhaps also Skepticism, each insists on such 
 a preclusion, and draws consequences from this. But both posi- 
 tions contradict themselves, since they both argue from the 
 similarity of all "things" in respect to their being in the causal 
 relation, and each also presents itself as a theory for yoii and 
 me to accept as true. Each position thus presupposes not only 
 a state of affairs that is common to and that holds of many 
 instances, as, e.g., the fact of change, but also such a similarity 
 in our minds as enables us to discover and agree on this state 
 of affairs, and, discovering it, have our judgments true. But 
 thereby the valid principle is accepted, that, though "things" 
 differ in some respects, they do not differ in all. But a simi- 
 larity in psychical processes together with similarities and 
 common states of affairs among objects known, furnishes an 
 adequate and sufficient basis not only for anti-individualism, but
 
 REALISM'S HYPOTHESES 405 
 
 also for anti-skepticism. Accordingly each of the theories under 
 discussion presupposes the "anti-doctrine"; Individualism pre- 
 supposes the truth of its own doctrine, and the convincing char- 
 acter of this on all right-thinking individuals, and Skepticism 
 tacitly accepts the same presupposition. In short, both doctrines 
 refute themselves in this way. 
 
 But also from the fact that, e.g., certain theories, laws, and 
 principles, which were once accepted as true, are now no longer 
 so regarded, the conclusion does not follow, that there is no 
 truth at all, or at least none accessible to man. Skepticism in 
 respect to itself presupposes the direct opposite of this; i.e., it 
 presupposes not only that there is unchangeable truth, but also 
 that it itself is a special case of this truth. But, also, in addition 
 to this criticism, it may be said, that the lack of absolute cer- 
 tainty as to what is absolutely true does not preclude certain 
 specific instances of knowledge from being absolutely true. Cer- 
 tainty has to do with, e.g., the evidence and the testimony that 
 influence our judgment and convictions, and is in some cases 
 at least the causal effect of these influences, but truth is a specific 
 non-causal relation between knowing and that which is known. 
 Then truth and certainty are not identical. Therefore a judg- 
 ment may be true, although we have no means whereby to 
 become certain of it, while, conversely, in a great many notorious 
 instances, men have been certain of judgments that have not 
 been true. For example, at one time men were certain that 
 the earth was flat, that animal and plant species were immutaMe, 
 and that heavier bodies fell the faster, but these certainties 
 turned out to be false. On the other hand, when these cer- 
 tainties began to be questioned, there were judgments, which, 
 although men were not certain of them, were nevertheless true. 
 
 If truth, therefore, is not a psychical process that is concrete 
 and' causally related to other concrete and particular existing 
 and occurring "things," but is a non-causal relationship between 
 the known and the knowing; and, further, if truth is not the 
 same as certainty, then it follows, (1) that common sense and 
 science, philosophy and religion may all through their develop- 
 ment contain true, although, perhaps, not absolutely certain 
 judgments; (2) that there is an ideal, if not an existent state 
 of affairs that is identical with absolute truth; and (3) that this
 
 406 REALISM 
 
 very specific state of affairs may be approached step by step, by 
 the winning now of one individual truth and now of another, 
 with such individual truths 7iot causally modifying one another, 
 although they are related. A causal relationship, although it 
 may in some cases hold between judgments, is precluded from 
 holding between truths by the fact that these are not existent, 
 but subsistent entities. 
 
 In thus formulating those positions which Individualism and 
 Skepticism tacitly presuppose, yet explicitly deny,'*^ we are also 
 stating those positions which any other system, such as Phe- 
 nomenalism and Idealism, also presupposes, and which are also 
 constituent parts of Realism and of Rationalism. Systems make 
 these presuppositions whether they will or no; therefore, if a 
 system denies them explicitly, it is self-nugatory, while, if it 
 accepts them, it is in this respect self-consistent. These pre- 
 suppositions, which, as made by any system, whether it explicitly 
 recognizes them or not, confirm Hypothesis VIII., and become 
 incorporate principles of Realism and Rationalism, may be given 
 the following formulation: — 
 
 All philosophical systems either explicitly accept or tacitly 
 presuppose (1) that there is a distinction between truth and 
 falsity {e.g., as regards themselves and other positions) and, 
 therefore, (2) that there is such an entity as truth; (3) that 
 there are similarities among human minds whereby this truth 
 can be attained by many individuals; (4) that this truth is not 
 a concrete causally related "thing" or process, but a non-causal 
 relationship between the known entity and the knowing; (5) 
 that this relationship is one that is not identical with certainty, 
 but that may subsist quite independently of proof and of the 
 application of any criterion of truth, — indeed, in many instances, 
 quite incidentally ; and (6) that particular truths, although re- 
 lated, are not causally dependent, and do not modify or influ- 
 ence one another either positively or negatively. 
 
 From these propositions, which imply the falsity of both 
 ; Individualism and Skepticism, and which yet are affirmed by 
 all systems, even by Individualism and Skepticism in their pre- 
 suppositions, it follows that hoth Skepticism and Individualism 
 are false, i.e., that they are self-refuting. 
 
 *' Cf. Chap. XLI., viii.-xi.
 
 REALISM'S HYPOTHESES 407 
 
 A similar conclusion results in the case of Hypothesis IX., 
 that, if there are well authenticated instances in which intel- 
 lectual analysis reveals fact, then Mysticism,*^ of a certain 
 type at least, namely, Bergsonian mysticism, and Anti- 
 intellectualism ^^ are false, and feeling, emotion, and intuition 
 cannot be accepted as the sole method of approach to reality, 
 with only an instrumerital role granted to intellect. This con- 
 clusion is similar to the one preceding, because Anti-intellectual- 
 ism and Mysticism, if they are defended hy argument, are self- 
 refuting, and if they are maintained merely dogmatically , are 
 no better oif in their logical position than are the opposed, 
 dogmatically asserted positions of Intellectualism and analysis. 
 Indeed, any position that is presented and defended by argu- 
 mentation, proof, and the advancing of evidence not only pre- 
 supposes the validity and the trustworthiness of analysis as a 
 method of discovering states of affairs as well as other facts, but 
 also presupposes the propositions just stated above as to the 
 nature of truth, and the like. Feeling, emotion, intuition, and 
 ecstasy may be means for getting at reality, or they may not, 
 but at least that they are not the only means is presupposed 
 by any position that is analytically defended, even though such 
 a position explicitly develops the opposed view regarding 
 analysis. The frank acceptance of these presuppositions makes 
 Intellectualism and Rationalism self -consistent as regards at 
 least this point, while the tracing of the implications of these 
 presuppositions leads to the discovery of entities that are real, 
 though they do not exist, and of relations that are not causal.*'*' 
 
 *^ Among the great mystics of history are the Neoplatonists of the 
 third and fourth centuries A.D., such as Plotinus, Porphyry, and 
 Jamblichus; also St. Bernard, Bonaventura, and Meister Eckhart from 
 the eleventh to the fifteenth century; Thomas a Kempis (1380-1471). 
 The " mystical quality " is also found in the great majority of philo- 
 sophical works, notably in those of Plato, Philo, Augustine, Scotus 
 Erigena, Roger Bacon, Duns Scotus. Nicolas of Cusa, Spinoza, Pascal, 
 Schelling, Fichte, Schleiermacher, and all the recent objective idealiste. 
 Bergson also is to be ranked as a mystic. 
 
 General works on Mysticism are: Vaughan, Hours with the Mystics, 
 2 vols.; R. B. Jones, Studies in Mystical Religions; Wm. James, Varieties 
 of Religious Experience ; Evelyn Underhill, Mysticism. 
 
 *' Cf. Chap. XXXIII., I. and ii. 
 
 " See Chap. XLIV.
 
 408 REALISM 
 
 CHAPTER XLI 
 THE PRINCIPLES OF REALISM 
 
 At the beginning of this section the statement was made that 
 the central doctrines of Realism and Rationalism are derived 
 from the criticism of opposed positions. This criticism, however, 
 is specific. By it there are discovered certain propositions, 
 certain states of affairs which opposed systems presuppose and 
 imply. Anti-Intellectualism, Mysticism, Individualism, Skepti- 
 cism, Pragmatism, Naturalism in its several branches, Positivism, 
 Idealism, and Phenomenalism are the main positions criticized. 
 The nine hypotheses just discussed are suggested by this criti- 
 cism, and for these confirmation has been sought and found. 
 The Realism with which these hypotheses are identical is a 
 position that accepts at face value the entities which are revealed 
 by reason as well as those which are given by sense experience 
 and emotion, and that, therefore, consistently allows its own 
 rational defense and establishment as presenting an objective 
 state of affairs that is independent of being known. It is, there- 
 fore, a realism of suhsistents as well as of existents, of principles 
 and ideals as well as of physical and mental entities, and of 
 non-causal as well as of causal relations. Since some of these 
 characteristics distinguish this position from previous realisms, 
 e.g., from Scotch Realism,^ it may be called the New Realism. 
 But also it is new in its Rationalism. For not only does the 
 logic of Aristotle serve the master, reason, but also that other 
 new logic which is found to be inherent in and among the com- 
 plex entities and situation with which reason deals.^ Rational- 
 ism by recognizing and using this logic is able to solve many 
 a problem that is insoluble by other, older methods.^ 
 
 This Realism and Rationalism may now be stated in systematic 
 and positive form as a constructive system Avhieh shall liave the 
 title Detailed Realism, or The Realistic Structure of the Uni- 
 
 ' The position of Reid, MrCdsh. and others. 
 ■' See Cliaps. XXI., XXV., XXVII., XLIIl. 
 " Cf. Chaps. XXII., XXIH.
 
 THE PRINCIPLES OF REALISM 409 
 
 verse. In presenting this position we shall give the realistic 
 and rationalistic solution of the main philosophical problems 
 that are outlined and analyzed in Section II. of Part I. 
 
 Antecedent and basic principles of this detailed Realism and 
 Rationalism are, however, the several confirmed hypotheses 
 that have just been presented in Chapter XL. These hypotheses, 
 however, involve certain (other) principles which should now 
 be presented in systematic form as the principles of a con- 
 structive position and system. These principles are presup- 
 posed by every philosophical position or system at least at that 
 point where such a system finds an (objective) state of affairs 
 which it presents as true, and which it discovers, analyzes, and 
 defends by reason. 
 
 The presentation of these principles in systematic form is 
 possible through the discovery, n? and among them, of a specific 
 logical order, which is that of logical priority. This order is 
 observed in the sequence in which the principles are presented, 
 logically prior principles being presented antecedently to 
 logically subsequent principles, with the possibility of error in 
 detecting this order alv.^ays granted. 
 
 The Principles 
 
 I. There are propositions. 
 
 II. There are terms and relations. 
 
 Discussion: It is difficult to determine which of these two 
 principles or presuppositions is logically prior. For, on the 
 one hand, a proposition is terms-in-relation,^ and therefore seems 
 to presuppose both terms and relations. But, on the other hand, 
 if any philosophy presupposes that there are terms and rela- 
 tions, such as the relations of implication, similarity, and dif- 
 ference, "member of," and inclusion, then Principle II. is itself 
 this presupposition. But this presupposition is itself a proposi- 
 tion, and therefore presupposes that there are propositions. 
 Also, that there are propositions is presupposed by itself, since 
 it is a proposition. This principle thus applies to itself, or is 
 reflexive. Any philosophy, even one that denies this, presup- 
 poses that there are propositions. 
 
 * Chap. XIII., I.
 
 410 REALISM 
 
 It is also difficult to determine whether it is terms or rela- 
 tions that are logically prior each to the other. On the one 
 hand, it might seem that, if there were only one term, there 
 would be 710 relations, i.e., that "a relation is a character that 
 an object possesses as a member of a collection (a pair," etc.),^ 
 and that, therefore, relations presuppose terms. Yet, on the 
 other hand, one term might be in relation to itself; e.g., a term 
 might be identical with itself, with the result, that neither 
 "term" nor "relation" is logically prior to the other. 
 
 However, it is doubtful if a philosophy does not presuppose 
 more than one term. But, if there are (many) terms, there 
 are also relations, at least those of conjunction (symbolized by 
 "and") and of similarity. For terms are at least similar, as 
 terms. 
 
 With these points elucidated, we may next consider certain 
 important relationships between Principles I. and II., noting 
 that, if there are these relationships, then each of these Princi- 
 ples must itself be a (complex) term, i.e. (at least by the defini- 
 tion quoted above), relationships imply terms. But, if this is 
 the case, then it is presupposed, that there are relations of im- 
 plication. 
 
 But there are relationships between Principles I. and II. 
 Therefore these Principles are terms; therefore, again, as terms, 
 they are similar — and similarity is a relation. But Principles I. 
 and II. are each terms in relation, and each is a proposition. 
 Therefore (1) as terms, they are each complex, and so, again, 
 similar, and (2) at least some terms-in-relation are proposi- 
 tions. 
 
 Whether all terms-in-relation are identical with propositions 
 may be open to question, but if there are some terms-in-relation 
 that are not, it is difficult to know what to call them. Yet that 
 all terras-in-relation are propositions is shown perhaps by the 
 fact (1) that it seems to be empirically ascertainable that what- 
 ever implies is a proposition (since typical cases are propositions 
 that do imply) and (2) that all or any terras-in-relation imply 
 (since, whatever a relation, R, may be, any complex x R y implies 
 or necessitates the inverse, y R x.^ The identity of propositions 
 
 ■ Royce, in his essay on the Principles of Logic; sec Chap. II. 
 « See Chap. XIII.
 
 THE PRINCIPLES OF REALISM 411 
 
 with terms-in-relation would, therefore, seem to be empirically 
 established. 
 
 By this definition, then. Principles I. and II. are each a 
 proposition ; for Principle I. is a relation of inclusion of proposi- 
 tions in the class of '' 'things' that are," i.e., the class, entities, 
 while Principle II. is the relation of inclusion of terms and 
 relations in this same larger class.'' 
 
 Further analysis of the "state of affairs" that is identical 
 with Principles I. and II. would reveal the presence in it of 
 a number of other relations than those thus far discovered — 
 e.g., there are the relations of (1) difference of terms and rela- 
 tions, and (2) "member of," for Principles I. and II. are each 
 a "member of" the class, propositions. However, into the 
 further discussion of these refined matters we need not go, since 
 it is more important to consider the several types of relations 
 that "give" propositions, and to recognize the fact that there 
 are other propositions than those which are accepted in the 
 traditional logic. 
 
 The traditional logic is, as we have seen, one that makes 
 almost^ exclusive recognition of ''class" and of "subject- 
 predicate" propositions. The latter, however, can be translated 
 into the former. Thus the proposition, "a stone is hard," while 
 it is identical with the relation of the inherence of the quality 
 hardness in the subject, stone, becomes, by translation, "stones 
 are hard objects," where it is identical v/ith the relation of 
 inclusion of the class, stones, in the larger class, hard objects. 
 The relationship of inclusion by which some propositions are 
 generated, may be, as we have previously seen, complete, partial, 
 or negative. The relation "member of" (a class) also "gives" 
 propositions that are illustrated by the proposition, "this object 
 (that I am now holding) is a pen." 
 
 But there are other relations than those just mentioned, and, 
 therefore, other propositions than those which the traditional 
 logic recognizes. Such a distinct class of propositions may be 
 called "relational" to distinguish them from "class" and 
 "subject-predicate" propositions. Indeed it may be said in 
 general, that all those relations that are present in series or in 
 complexes of series, and the like, give relational propositions, 
 ' Qf. Chap. XLIV., u.
 
 412 REALISM 
 
 although, "side by side" with these, "class" and "subject" 
 propositions may also be present. Thus, to illustrate, the sev- 
 eral relations that are present in that relational complex which 
 is accelerated motion, give, most of them, relational propositions. 
 For example, "the instant A pr£££des the instant C," "the 
 instant B is between A and C," "the point a is in one-one 
 correlation with the instant A," are all propositions that are 
 not generated by relations of similarity, '^member of," inher- 
 ence, or inclusion of any kind. Evidence that there are these 
 relational propositions is given by the historical fact, that, in 
 order to deal adequately and precisely with such complexes as 
 accelerated motion, it was necessary to develop radically new 
 methods of reasoning, such as the calculus. Indeed the greater 
 part of modern exact science is identical with the knowledge 
 of such relational propositions and with what they imply, namely, 
 other relational propositions. 
 
 This suggests our third principle, which is presupposed by any 
 system of philosophy that is reasoned either in its detailed doc- 
 trine or in its defense, but which also seems to be logically subse- 
 querit to the fact that there are entities, namely, propositions, 
 such as Principles I. and II., that imply. 
 
 III. There is {the relation of) implication. 
 
 Discussion: The problem of implication, its nature, and the 
 conditions of its occurrence, is one of the most difficult problems 
 in all logic and philosophy, as it is, also, a problem that is most 
 infrequently considered. However, the attempt to examine it 
 has been made at a number of junctures in this volume,^ with 
 the result that it has been found (1) that the relation of im- 
 plication is a specific relation that subsists between propositions; \ 
 (2) that it is, like other relations and terms, objective in the j 
 sense that it is neither a creation of nor a law or concept of 
 the knowing mind; (3) that it is identical with a relation of ' 
 necessary connection between propositions, whereby, if proposi- 
 tion A is, proposition B must be; (4) that it is logically subse- 
 quent to some other relations, in that it depends on them, al- 
 though they do not depend on it;** (5) that, therefore, it is a 
 specific relation that is not itself iynplied, but that merely co- \ 
 subsists with certain other relations; (6) that it is specifically 
 
 * See Chap. XIII. • See Chaps. Xlll. and XXL
 
 THE PRINCIPLES OF REALISM 413 
 
 different from consistency and contradiction;'^^ (7) that it is 
 a non-symmetrical and transitive relation, — which allows for its 
 occasional symmetry, if not for its intransitivity. 
 
 To enumerate and present all those types of relational com- 
 plexes, and all those types of relations that carry w^ith them the 
 relation of implication would demand that we should examine 
 all those situations that permit of correct inference. Such a 
 complete examination of the implicative situation is, however, 
 not necessary to our purpose, but, instead, the presentation of 
 a few typical instances will suffice. 
 
 1. Every relation, e.g., every dyadic relation, symbolized by 
 X R y, is one that gives a basis for the implication of its inverse, 
 y R X. It would seem, then, that, if there were the very minimum 
 of relations, namely, those of conjunction, expressed by "and," 
 and of similarity and, perhaps, of difference, there would also 
 be implication. For A and B implies B and A, as does also A 
 similar to B imply B similar to A. 
 
 2. In the very typical case of the relation of inclusion of one 
 class A in another class B that in turn is included in a class C, 
 there is the relation of implication, for it is implied that A is 
 included in C. Here two propositions, A R B, and B R C, with 
 neither implying the other, imply a third, ARC. This is the 
 case also where an asymmetrical and transitive relation relates, 
 not classes, but the individuals of a series. Thus, if < be the 
 sign for any relation, such as "before," "greater than," and 
 "ancestor of," whereby serial order is generated among indi- 
 viduals, then A <i B, and B <. C, implies A < C.^^ 
 
 These are instances of propositions that imply other proposi- 
 tions, but there are also certain propositions that do not in the 
 least seem to be implicative of others. For example, "A is taller 
 than B" does not imply any "hlood relationship'' between A and 
 B, and "A is similar to B" does not imply that either terra 
 precedes the other. Implication, therefore, seems to subsist be- 
 tiveen sorne propositions, hut not between or among all. There- 
 fore, where it does subsist, there must be certain other relations 
 on which it rests. However, that implication is objective, is 
 
 ^* See the next two discussions. 
 
 " For further typical implicative situations, see Chaps. XIII., i., and 
 XXI.
 
 414 REALISM 
 
 itself a proposition that is implied by whatever propositions are 
 employed in any argument either pro or con its hypothetical 
 subjectivity. For, if one does not dogmatically assert, e.g., the 
 subjective character of implication, but endeavors to demon- 
 strate this, then to the investigating mind the propositions that 
 constitute this demonstration and the relations between these 
 propositions are objective, and among these relations is im- 
 plication. 
 
 That implication is sometimes symmetrical is shown by dis- 
 covering specific instances of its symmetry. One such instance 
 is the complex situation or state of affairs, that (1) if the rela- 
 tion JK of a to & is, e.g., the asymmetrical relation "greater 
 than," then the inverse relation, K, is "less than"; but that 
 (2) between the two complexes, a B b and b B a, there is, in 
 addition to this "first" relation of "inverseness," the relation 
 of implication, for any relation x B y implies its inverse y B x, 
 as we have seen; calling tJiis particular relation of implication 
 between a B b and b B a the relation B^, it is then to be seen 
 that (3) the complex {a B b) B.^ {b B a) implies its inverse, 
 namely, the complex (& B a) B^ {a B b) ; so that (4) JSg ''here" 
 is symmetrical. 
 
 However, in most instances implication is a non-symmetrical 
 relation in accordance with the definition that "a relation is 
 non-symmetrical if it is such that it de facto precludes the iden- 
 tity of the inverse with itself" (the original relation). This 
 non-symmetry is illustrated in the relationship between time and 
 motion: motion implies time, but the inverse relation, that of 
 time to motion, is not one of implication. 
 
 IV. There is the relation of contradiction. 
 
 Discussion: Although it is, doubtless, somewhat difficult to 
 discover the exact character of this relation, it is readily demon- 
 strated that any system of philosophy presupposes it. For who- 
 ever both asserts and denies, conforms logically to this principle 
 as holding between that which is respectively asserted and 
 denied. Thus, e.g., to de7iy contradiction (as a specific state of 
 affairs in the universe) is to presuppose it. 
 
 The difficulties in the problem lie in the concept of the nega- 
 tive, with which contradiction seems to be most intimately con- 
 nected, if, indeed, the two are not identical.^^ Thu5, e.g., one
 
 THE PRINCIPLES OF REALISM 415 
 
 finds it stated, that contradiction subsists both between classes 
 and propositions, but that its definition for either of these cases 
 depends on the concept of negation. This is very evident if, 
 for example, the contradictory class, symbolized by x, is defined, 
 in relation to a positive class, x (which itself is "defined by 
 a certain norm"), as the class that consists of whatever objects 
 are not x.^^ It is also quite as evident, if, e.g., the contradictory 
 of the relational proposition, '^A is greater than B," is defined 
 as "A is not greater than B." 
 
 To understand ivhat contradiction is, seems to demand, there- 
 fore, the understanding of the concept of the negative, or of 
 negation. But here again difficulties are met with, if, e.g., an 
 endeavor is made to understand the negative by first under- 
 standing zero, only in turn to define zero by the use of the 
 negative. This circle is committed in Mr. Russell's discussion 
 of his view "that numbers are properties of general terms, not 
 of physical things or mental occurrences," so that " 'one' is 
 not a property," for example, "of the moon itself," but only 
 "of the general term 'earth's satellite.' " "Similarly, is a 
 property of the general term, 'satellite of Venus,' because Venus 
 has no satellite." ^* 
 
 However, some light is thrown on the nature of the nega- 
 tive and of contradiction by considering the nature of the 
 number zero as this occurs in the nnniber series. Briefly, we 
 will say, that the number zero and the negative numbers are 
 implied by removing the limitation from the operation of sub- 
 traction, so that the greater whole number can be "taken from" 
 the lesser, as well as the lesser from the greater; i.e., so that 
 x — ^ is possible, whatever " values'' x and y may have. Sub- 
 traction is the operation, or step of "going" (perhaps that of 
 moving our attention) — in the series of numbers — from that 
 which follows to that which precedes, while addition is the inverse 
 step of "going" from that which precedes to that which 
 follows. Thus these two operations are defined by reference to 
 series. 
 
 If, now, 4" before a number represents the operation of 
 
 "Chap. XVI. 
 
 ** Hoyce, Essay, op. cit., p. 108. 
 
 ** Scientific Method in Philosophy, p. 202. Italics mine.
 
 416 REALISM 
 
 addition and — that of suhstraction, as, e.g., -f- 5, and — 5, 
 and if we start with a whole number 5, carefully distin^iishing 
 between the status of signed numbers and of unsigned, then -|- 5 
 is a step "forwards" by which we "go" from 5 to 10, and — 5 
 is the step "backwards" by which we "go" from 5 to 0. There- 
 fore, the steps — 6, — 7, and the like, taken from 5 as a "start- 
 ing point," bring us to the negative numbers, — 1, — 2, etc., 
 respectively. 
 
 It is to be noted here, however, that the sign which is some- 
 times interpreted as a negative sign, first stands for a very 
 positive '^ thing, '^ namely, for the step or operation of "going" 
 from greater to lesser. The same conclusion results, also, from 
 the further examination of the negative numbers themselves, 
 and of zero. This examination shows, in the first place, that 
 the negative numbers are implied facts, and are, therefore, in 
 some sense entities, namely, subsistents ; ^^ and in the second 
 place, that we are as free, in performing successively the opera- 
 tion -f- 1, to start with a negative number or with zero, as we 
 are to start with a positive whole number. 
 
 There may be many other considerations that bear on the 
 nature of the negative, but, in the opinion of the writer, all of 
 these lead to but one conclusion, namely, that the number 0, 
 the negative, negation, and contradiction is in each instance 
 something that is a positive content of experience. This content 
 may be the positive fact of, e.g., a difference in the "sense" or 
 direction of a series, whereby we speak of "backwards" and 
 "forwards" ; or the difference of individuality, as when we speak 
 of the points (apexes), A, B, and C of a triangle, or the differ- 
 ence of qualities, whereby there are the classes, X (animals) and 
 Y (plants). In each of these instances either or any of the posi- 
 tive terms can be symbolized by the prefix "not." Thus "back- 
 wards" is "not-forwards," points B and C are not- A, animals 
 are not-plants, and conversely. Yet this negative prefix does 
 not do away with the fact, that the differences among these 
 entities are positive, although they are open to a negative char- 
 acterization in relation to one another. These differences subsist 
 at different and numerically distinct loci that are logical, and, 
 also, in some instances, spatial and temporal in character. It 
 " Cf. Chap. XLIV., II.
 
 THE PRINCIPLES OF REALISM 417 
 
 is, now, this factual diversity and difference of the entities of 
 the universe that is that universal fact of exclusion with which 
 contradiction is identical.^® 
 
 It follows that such a formulation of the principle of con- 
 tradiction as the very usual one of the text-books that "a 'thing* 
 (entity) cannot hoth be and not he a certain quality" {e.g., that 
 the motion of a falling body cannot be both continuous and not 
 continuous) is in reality only a restatement (1) of the em- 
 pirically discovered fact, that certain characteristics do subsist 
 at different loci, plus (2) the unjustified conviction that they 
 cannot have the same locus. For many attributes which have 
 been regarded as necessarily exclusive, e.g., finiteness and in- 
 finity, are now known to cosubsist, as, e.g., in the case of a line, 
 which is infinite in respect to points, but finite as regards 
 smaller lines as components. 
 
 From this example it may be seen that to discover what 
 entities exclude one another, and what do not, is a wholly em- 
 pirical matter. Therefore the only norm that is really offered 
 by the principle of contradiction is, that one should not think 
 or "take" two or more characteristics or entities that are found 
 empirically to have different loci, to be at the same locus. Any 
 two contradictory entities can be at different spatial and tem- 
 poral loci, or at those logical loci that are called "universes of 
 discourse." 
 
 Self-contradiction subsists, at least in the case of propositions, 
 when characteristics that are (found empirically to be) exclusive 
 are brought in some way into the same locus. Thus, e.g., the 
 statement, "there is no truth," is self-contradictory, because it 
 presupposes the truth of itself as present in a universe of dis- 
 course from which, by its own meaning, truth is absent. The 
 difficulty is resolved by the subsistence of two "universes," 
 excluding each other, in one of which truth is present, in the 
 other, absent. Thus the two propositions, "there is some truth," 
 and "there is some not-truth," are both facts. 
 
 In two ways, therefore, aiiy system of philosophy presupposes 
 
 the relation of contradiction. One of these ways is, that there 
 
 is a diversity of entities in the universe, and that among these 
 
 there are empirically discovered exclusions. The negative, or 
 
 "Cf. Chap, XLIV,
 
 418 REALISM 
 
 the contradictory, is merely anotJier name for any one entity, 
 simple or complex, that is in relation of some kind of difference 
 to another entity or entities, with the two subsisting at different 
 loci. Thus when we say, having set out to classify any region 
 of our world, real or ideal, that "with reference to a given 
 norm," the individuals of that region will belong either to the 
 class X or to its contradictory class x, we mean, that, if these 
 individuals are not in one locus, they are in the other, with both 
 realms equally positive in character. The other way in which 
 contradiction is presupposed is normative in character. It 
 means, that the error should not be committed of "taking" en- 
 tities that are diverse in character and that subsist at 
 different loci, to have the same locus. This norm af think- 
 ing should, of course, be observed by any philosophical 
 system. 
 
 V. There is consistency. 
 
 Discussion: The two foregoing discussions of implication and 
 of contradiction bring us to the discussion of consistency. It is, 
 perhaps, doubtful if consistency is a relation, and therefore 
 also doubtful if a system of philosophy presupposes such a rela- 
 tion. Yet that a philosophy must be consistent is a presupposi- 
 tion or demand that is made by all philosophies, although one 
 may ask, whether this means more than that a philosophy must 
 not be self -contradictory in the sense in which we have just de- 
 fined this term. Such self-contradiction is illustrated by any 
 philosophy which maintains that all terms are causally related, 
 and, therefore, mutually modify one another ; for this means that, 
 logically, knowing and object known are no exceptions to the 
 rule, and that, accordingly, knowing affects the object (to be) 
 known, so that 7io state of affairs (or anything else) can be 
 known without being modified. Such a position, now, logically 
 brings itself, as a specific knowing of a specific state of affairs 
 (the above theory) within this realm in which genuine knowl- 
 edge is impossible, but it thereby precludes, or makes it im- 
 possible, that that knowledge with which it as a philosophical 
 position is identical, should be what it is presumed to be, namely, 
 genuine knowledge. Thus the position invalidates itself. To 
 recognize that any philosophy presupposes and is under obliga- 
 tion to conform to consistency in the sense of the absence of
 
 THE PRINCIPLES OF REALISM 410 
 
 such self-contradictions as that just presented, would seem to 
 be a minimum requirement to ask any philosopher to observe. 
 
 The specific self-contradiction just presented is avoided by 
 accepting the two propositions, that ''some 'things' are causally 
 related," and that ''some 'things' are not so related. But, if 
 self-contradiction is to he avoided, it may well be that mere 
 contradiction, as identical with the relation of difference between 
 entities that subsist at different loci, is not only presupposed by 
 all philosophies, hut also is identical with consistency. 
 
 Paradoxical though it may seem, thus to identify contradiction 
 with consistency, and to maintain at the same time, that con- 
 sistency is independent of implication, the empirical examina- 
 tion of the evidence at our disposal nevertheless seems to lead 
 to this conclusion. All facts and entities are, just because they 
 are facts and entities, consistent with one another. If they 
 cannot cosubsist, or coexist, "at" or "in" the same locus, then 
 they must be at different loci, or in different universes of dis- 
 course. Conversely, the hypothesis, that there are different 
 universes of discourse, allows for the factuality of all entities 
 that are experienced. Inconsistency is present, then, as an 
 error, only when entities which factually are exclusive and have 
 different loci are "taken" to have the same locus. But entities 
 as diverse and as in different loci may be quite unrelated by 
 implication, as can be shown in innumerable instances. 
 
 These developments concerning contradiction, consistency, and 
 implication may be illustrated to advantage by an example from 
 the scientific field. The geometers, Lobatchewsky, in 1829, and 
 Bolyai, in 1832, each succeeded in working out a consistent sys- 
 tem of geometry that differed from the traditional geometry 
 of Euclid in respect to the postulate and theorems that concern 
 parallels}'^ Euclid assumed, in "axioms" and theorems, that 
 through a point P, outside a line L there is only one line parallel 
 to L. Bolyai and Lobatchewsky, however, assumed that there 
 is an infinite numher of parallels through P, and then developed 
 the implications of this and of the other usual postulates, one of 
 these implications being that the sum of the angles of a {plane) 
 triangle is less than two right angles. 
 
 These two opposed assumptions regarding parallels, in respect 
 " Cf. Chap. I.
 
 420 REALISM 
 
 to which these two geometries differ, may be regarded, now, as 
 contradictory, i.e., they can at least be formulated in the nega- 
 tive contrast of ''one parallel" and "not one parallel." They 
 are of such a character, that, if both were assumed in one 
 system, together with other postulates, they would lead to all 
 sorts of difficulties. No ''concrete representation" of the theory 
 to which they thus might lead is found. On the other hand, 
 as "placed" in different universes of discourse in recognition 
 of the empirical discovery of their mutual exclusion, each of 
 these postulates as to parallels leads to an internally consistent 
 geometrical system, i.e., one for which a concrete representation 
 is found. 
 
 There are other non-Euclidian systems than that of Bolyai 
 and Lobatchewsky, as, e.g., that of Riemann,^^ But the point 
 to be emphasized regarding all of these systems is, that, as 
 distinct and cosubsisting universes of discourse, they are con- 
 sistent with one another. This they must be, since each is a 
 system of entities or of facts that are discovered by reason. Yet, 
 as consistent in this sense, they are also contradictory of one 
 another in certain specific respects. But, also, taking the three 
 systems together as geometrical systems, we have a concrete 
 representation of geometrical theory. We conclude, therefore, 
 that in the instance of these systems we have a concrete case 
 of the identity of consistency with contradiction, and that the 
 only contradiction that is at all damaging and that is to be 
 avoided, is that of "taking" the different postulates regarding 
 parallels into one system or one locus of discourse, when they 
 should be kept distinct in three loci. 
 
 Each of these systems is itself internally consistent, since 
 a concrete interpretation of each can be given that satisfies all 
 its postulates. But further, each system is derived by dis- 
 covering the implications from a relatively few propositions 
 that are regarded as postulates, and not as axioms. These 
 postulates, however, do not imply one another, since, if any 
 one postulate were implied, one would not be obliged to postu- 
 late it, but would deduce it from the other postulates. Accord- 
 ingly, in order to ascertain whether a specific proposition is to 
 be postulated, or whether it can be deduced, one first assumes 
 
 •" Cf. Chap. I.
 
 THE PRINCIPLES OF REALISM 421 
 
 the formal contradictory of a certain postulate, X, and then 
 finds that the remaining postulates together with this contra- 
 dictory give a consistent system. It follows that these remaining 
 postulates are 7iot implied by X, nor X by them. Any set or 
 group of postulates that can be successfully submitted to this 
 test is thereby proved to be a set of propositions that are inde- 
 pendent (in just this sense of not being implied by one another), 
 and yet that are, also, consistent. We therefore have a specific 
 demonstration, that implication and consistency are not only 
 not identical with, but also independent of, each other, and that 
 this independence "persists" even in the case of consistent 
 propositions that do imply one another, but that can be, as 
 distinct propositions of positive content, transformed into formal 
 contradictories. This demonstration consists in finding that con- 
 sistency is sometimes accompanied by implication, and sometimes 
 not, — in which respect it is similar to the independence of such 
 relational characteristics as symmetry and transitivity}^ 
 
 We conclude, therefore, (1) that consistency may cosubsist 
 with but is not identical with nor dependent upon implication; 
 (2) that it means the absence of self-contradiction, but (3) that 
 it is in some cases identical with that contradiction which is 
 the factual exclusion of entities into different universes of dis- 
 course, or their factual subsistence at different loci. 
 
 Any system of philosophy presupposes consistency in these 
 three meanings or ways. 
 
 VI. There is a system of propositions. 
 
 Discussion: Every philosophy makes this presupposition. 
 With a proposition defined as a relationship between terms, 
 whether these be simple or complex, and with all philosophical 
 s^tems presupposing tJiat there are propositions, it is evident 
 that a philosophical system presupposes that there is a system 
 of propositions. 
 
 A system of propositions may be defined as a set of proposi- 
 tions that are related either by implication, or by consistency, 
 or also, if one will, by contradiction. Since a proposition is, 
 however, a relation between terms, a philosophical system also 
 presupposes, as possibly included within itself, all the several 
 kinds of relations as well as all the several kinds of terms or 
 " See Chap. II., p. 22.
 
 422 REALISM 
 
 entities that are known. Although these terms and relations 
 are too various to enumerate completely, it will be seen that they 
 include simple and complex terms, and those relations that 
 generate both classes and series, i.e., relations of similarity and 
 difference, and of asymmetry and transitivitj'- respectively. 
 
 A system may also be defined as an ordered manifold of en- 
 tities. But entities are ordered by relations. It would seem, 
 therefore, that there might be "degrees" of order, with certain 
 "degrees" independent of others. Thus a system from which 
 all series and whatever depends on series, as, e.g., functions, 
 should be absent, can be postulated. Such a system would, how- 
 ever, admit of classes and their relations. The Platonic phi- 
 losophy is in part identical with such a system. 
 
 A system may, also, be only partially implicative in char- 
 acter, and there would also seem to be systems of contradictory 
 (consistent) systems, each internally consistent, as illustrated 
 by the system of geometrical systems. But any system of phi- 
 losophy that is open to examination and proof, and to rational 
 defense and development, presupposes a system of propositions, 
 some of which at least are implicative of one another,^^ and, 
 therefore, more than merely consistent. 
 
 However, that the system of propositions which constitutes 
 a philosophy is an organic system, is disproved in two ways. 
 An organic system of propositions is defined as one in which 
 each proposition is constituted by its relation to all other proposi- 
 tions, so that no proposition can be genuinely known until all 
 others are. Clearly such a system is modeled after a completely 
 causal system.^^ That the system of propositions which are at 
 our disposal is not organic in this sense is proved by the fact 
 (1) that there are instances of propositions, as in the geometrical 
 systems just discussed, that are not implied by, although they 
 and their contradictories are consistent with, other propositions ; 
 and (2) that no relation, either of implication or consistency (or 
 any other relation) between propositions carries with it the 
 mutual modification or constitution of any one proposition by 
 others, except as this modification is deduced from the purely 
 gratuitous assumption (postulation) of the modification theory 
 of relations. But if a system of propositions is not organic, 
 " See Chap. XIII. "' See Chap. XXVI., n., 2.
 
 THE PRINCIPLES OF REALISM 423 
 
 then an entirely correct knowledge of some (one or more) 
 propositions is possible, even though other implied or implying, 
 and consistent or inconsistent propositions are not known. 
 
 VII. There are specific processes called knowing, and there 
 is knoivledge. 
 
 Discussion: Every philosophical system presupposes this. 
 Knowledge may be defined as that which is common to past, 
 future, and present knowing processes. A knowing process may 
 be defined as one in which there is awareness, without it being 
 necessary that there should in turn be an awareness of this 
 awareness. This corresponds to the distinction between con- 
 sciousness and self-consciousness. There is positive evidence 
 that mere consciousness and awareness is identical with a specific 
 relation w^hose presence is conditioned by a certain complex in 
 which a nervous system with a cerebral cortex is one term, al- 
 though there may also be other radically different terms than 
 such neural complexes as conditions for consciousness. The 
 conditions for self-consciousness are more specific than are 
 those for mere consciousness. Special kinds of awareness 
 are those which are usually called reasoning, imagining, 
 remembering, and perceiving, and the like, but these processes 
 can take place without a simultaneous or subsequent conscious- 
 ness of them. 
 
 As thus far defined, no distinction is made between that 
 knowledge which is true, and that which is not. But perhaps 
 there is no distinction, since ^'true knowledge" may be a 
 tautology, and "false knowledge" a misnomer. But, be that as 
 it may, all philosophical systems presuppose that 
 
 VIII. There is truth. 
 
 Discussion: Truth may be defined as the subsistence of a 
 specific relation between the knowing process and the entity 
 known. Were there not knowing, there would be only fact, 
 but neither truth nor error. But, secondly, this specific relation 
 subsists, when, in the awareness, tiie entity is revealed as it really 
 is. In this state of affairs the knowing and the entity known are 
 externally related after the model of the functional relationship, 
 i.e., they are in correspondence. 
 
 The objection that this is a question-begging definition of 
 truth does not invalidate it, but only indicates the difficulty of
 
 424 REALISM 
 
 finding a test whereby to ascertain whether knowledge in any 
 specific instance is true or not. But the presence or absence 
 of this test is not identical with the presence or absence of 
 knowledge, for the former concerns proof and the grounds of 
 conviction, the latter, the presence or absence of truth. "Were 
 there not this difference, there would 'be no truth unless there 
 were a test, yet every test would be worthless unless true. The 
 'principles of proof must themselves, therefore, be submitted to 
 proof and to testing. But, since with these, as with other proposi- 
 tions, proof in an indefinite series is impossible, the only alterna- 
 tive is to accept it as a fact that at some point proof is im- 
 possible, and that truth is distinct from and independent of 
 proof, evidence, and testing. This is, indeed, the onl}'^ ground 
 or principle on which ultimate unproved or unprovable tests 
 can themselves be true, but it is also a principle that logically 
 allows itself to he true, although it is not proved. Indeed, were 
 this principle not thus true, then, since the human race as yet 
 possesses no complete proof and no absolute test for the absolute 
 truth of any knowledge, there could be no knowledge. But, 
 conversely, if the principle is true, then there is implied the 
 possibility of genuine knowledge, both in the race and in the 
 individual, antecedent to the demonstration that in any specific 
 instance there is such knowledge. 
 
 This means that facts can be revealed and discovered 
 antecedently hath to the evidence or proof that this is the case, 
 and also to the explanation of how they can be these facts. For 
 example, our ancestors perceived and knew the fact that their 
 canoes would float on the water without understanding either 
 the perceiving or the floating. Likewise it is possible that one 
 should discover that there are certain presuppositions or con- 
 ditions for knowledge, and yet not understand in all details 
 how knowledge is brought about. The experience of fact is but 
 the antecedent occasion for subsequent explanation and proof. 
 It is a principle, then, that 
 
 IX. Truth is distinct from certainty. 
 
 Discussion: Certainty is a specific consciousness which has 
 some other consciousness as its object, and is, perhaps, always 
 an instance of self-consciousness. It concerns evidence and 
 proof and the grounds for our convictions. Thus it can be
 
 THE PRINCIPLES OF REALISM 425 
 
 causally grounded in personal influences, in tradition, and in 
 custom. 22 Such, e.g., is the conviction and certainty that attends 
 our beliefs, the self-evidence of so-called axioms, and, perhaps, 
 the inconceivability of their opposites.-^ In contrast truth is a 
 specific relation between knowing and that which is known. 
 Proof and evidence are, therefore, only methods for attaining 
 truth, with "successful working" in some cases as one such 
 test, but with the success conditioned by truth, and not con- 
 versely.-* This last proposition may be stated in the form of 
 another principle to the effect that 
 
 X. The nature of truth is not the same as the outcome of 
 knowledge, i.e., of its successful and satisfactory working. 
 
 Discussion: This "working" is in many cases brought about 
 by holding the very "idea" in question to be true, as is illus- 
 trated by the conviction that a friend is sincere, by the belief 
 in immortality, and the like. Accordingly it is clear that, in 
 these circumstances, one is not free to hold one's judgment in 
 suspense, thus to put an idea or theory to a test that is inde- 
 pendent of emotion, of desire, of tradition, and of social 
 pressure, but that in order that an idea or theory should be 
 true in the sense of working successfully, one must prejudge 
 the question, and hold something to be true antecedently to 
 ''there being truth." Belief thus generates truth, so that ulti- 
 mately there is no difference between the true and the false. 
 
 But, since belief somewhere, by some one, is always to be 
 found, it follows that there is only truth, and no falsity. But 
 also specific disbelief and doubt — somewhere — by some one — are 
 not absent in respect to any "object of belief," with the con- 
 sequence that, as regards any such "object" or "idea," there 
 is always a specific lack of "satisfactory working," so that 
 there is nothing that is not also false. Thus does the position, 
 that truth is identical with satisfactory working, reduce to an 
 absurdity, and the converse position — of science, that truth is 
 not so constituted, receive confirmation. Not only the absence 
 of belief, but also of disbelief, or rather the independence of 
 both, is the state of affairs that is recognized, by science, as the 
 condition for the bringing about of that kind of satisfactory 
 outcome and working that is acceptable to science. Such an 
 
 " Cf. Chap. III. =■ ' Chap. XV., iv., 4, 5, 6. " Cf. Chap. XXXIII., iv.
 
 420 REALISM 
 
 outcome, however, is one that is brought about, not by the 
 psychological causes of belief, desire, and tradition, but by the 
 objective realities that are known — else were everything true, 
 and nothing false, and, also, everything false, and nothing true. 
 It is because ideas are true that they work satisfactorily where 
 both belief and disbelief keep aloof. Yet the satisfactory out- 
 come even here only makes us regard them as true, but does 
 not make them true. 
 
 With truth thus found to be distinct from certainty, and 
 also from "successful workings," we may now present as our 
 next principle, that 
 
 XI. Although there is no absolute test of absolute truth, and 
 although certainty may be lacking, nevertheless there may be 
 true knowledge; the latter is not of necessity absent even when 
 the two former are not present. 
 
 Discussion: This means that true theories, true hypotheses, 
 and the like, may often be won by guesswork, — an origin which 
 the history of science shows to have been frequently the case. 
 
 We now reach a somewhat different group of propositions, 
 which, while they have been discussed and developed in a 
 number of preceding chapters, should now be stated briefly, 
 since they are principles that all philosophical systems presup- 
 pose in one way or another, and that, therefore, form an im- 
 portant part of Realism and Rationalism. The first of these 
 propositions is that 
 
 XII. Analysis is possible. 
 
 Discussion : This means that knowledge by analytical means 
 is possible, but that this does not exclude immediate experience, 
 such as feeling and intuition, from also revealing fact and 
 giving truth. ^^ The development of the technique of modern 
 methods of knowing is identical in part with the development 
 of methods of analysis. Analysis itself has thus been analyzed, 
 one result of this being the discovery of methods of analysis 
 that leave the entities thus discovered in situ. Such methods 
 are most important, as we have seen, for the solution of the ego- 
 centric predicament.^^ Analysis shows a great many instances 
 in which entities are related, not causally, but functionally or 
 after the manner of the functional relationship, so that one 
 
 =■> Chap. XV., IV., 2. =» Chaps. XXVIII. and XXXIX.
 
 THE PRINCIPLES OF REALISM 427 
 
 can only dogmatically, but not validly claim that a relation 
 ipso facto carries with it the modification and alteration of the 
 related terms. In other words, the theory of external relations 
 is shown empirically to hold for at least a great many instances 
 of related terms. Therefore the modification theory of relations 
 to the effect that all relations a fortiori carry with them a mutual 
 causal effect of term on term, is shown not to he universal. It 
 may apply to some instances of related terms, but it certainly 
 does not to all. And for the underlying-reality theory of rela- 
 tions it has been already shown that there is only an argument, 
 and a self-contradictory one at that, but no empirical basis. 
 
 With the fact established empirically that there are some 
 instances of terms that are externally related, it is open to 
 empirical investigation to disclose others. This search is re- 
 warded by finding it to be not only a fact of direct observation, 
 but also a condition of our discovering implication and of know- 
 ing "things" as they really are (which possibility is accepted 
 by every philosophy at some point) that 
 
 XIII. Reason is free in the sense that it is neither lawless 
 nor yet causally determined hy preceding psychical processes 
 in the individual and the race, hut that it follows whither it is 
 led by the implicative structure of reality. 
 
 In other words, reason, in that it is "true to itself," is de- 
 termined, not by antecedent causes, but by the structure of 
 that to which it is directed. Thus, e.g., it can study the facts 
 of development without being causally determined by its own 
 development. It is free to ignore its own origin. 
 
 Discussion : Some of the important results that are obtained 
 by a reason that is free in this sense, and that can analyze 
 "things" in situ, as well as discover the implications of experi- 
 mental analysis, may now be stated, in summary of previous 
 discussions, as still further principles. 
 
 XIV. By an analysis in situ knowing can always he left 
 in relation to the entity known, and yet the two he discovered 
 to he in an external relation. Thus the ego-centric predicament 
 can he granted, and yet he shown to he quite harmless. 
 
 Further analysis of the "truth situation" shows that 
 
 XV. Although there is only One Truth, this means that there 
 is one system of many truths, or, more precisely, of propositions
 
 428 REALISM 
 
 of ivhich some are merely consistent with, hut not implicative 
 of, one another, hut that in neither case are either truths or 
 propositions constitutive of one another. 
 
 Discussion: Implication and consistency (if it is a relation) 
 are as distinctly non-causal, non-constitutive, and external 
 relations as are any other specific relations that are of this 
 character. 
 
 But it is also shown hy analysis that the One Truth, defined 
 as one system of many truths (a truth being a known proposi- 
 tion), need not be an existent system. For there is evidence 
 that some "things" are unknown — although they are not un- 
 knowahle. It may therefore be formulated as another principle 
 that 
 
 XVI. The knowahleness of entities implies that, if {true) 
 knowledge of some or of many entities does not yet exist, there 
 is, nevertheless, a subsist ent or ideal knowledge that may ''hud 
 into existence'' under certain specific conditions, and that the 
 system of such ideal knowings is the system of Ideal Truth. 
 
 XVII. The suhsistence of an external relation hetween the 
 knowing and the entity known logically allows the latter to he 
 hoth qualitatively and numerically differeni and distinct from 
 the knowing. 
 
 Discussion: This implied result is confirmed by both common 
 sense and science. It is a result, however, that is directly 
 opposed to those results that follow logically from the postula- 
 tion of the theory of internal relations for the knowing situation. 
 Such results are (1) that knowing modifies the object (to be) 
 known, (2) that these two entities causally "fuse" together, 
 so that each is like the other and neither is really distinct, or 
 (3) that the apparent difference and distinctness are really 
 illusory, and that the reality is a numerically single underlying 
 oneness. It is to such a logical origin that certain monistic and 
 idealistic systems are due. 
 
 In this summary there may be given as further principles 
 the following propositions, though these are to be regarded as 
 results that are ohtained hy that analysis which is presupposed 
 to he possihle hy any philosophical system, and which reason is 
 capable of making by virtue of its freedom to follow implica- 
 tions.
 
 THE PRINCIPLES OF REALISM 429 
 
 XVIII. Particular existing entities are not the only objects 
 that are open to investigation and analysis, but also classes and 
 series, states of affairs and non-existent suhsistents, and relations 
 between all these (includi^ig the relation cf implication), can 
 be studied, and discoveries ynade concerning them. 
 
 XIX. There are two ways of knowing, namely, by "specifica- 
 tion" and by "type." The former is illustrated by any par- 
 ticular act of sense perception, the latter by our knowledge of 
 prehistoric man. 
 
 XX. That some and perhaps many "things" are unknown in 
 either of these two ways is not identical with nor implicative 
 of their being unknoivable. There are only empirical difficulties 
 in the way of genuine knowledge, but there is no obstacle in- 
 herent in the knowing situation itself, contrary to the claim of 
 many philosophical systems, notably of Phenomenalism. 
 
 XXI. Error is an undeniable fact, but it can be explained, 
 and the means for avoiding it can to a large extent be acquired 
 by the wiiining of a scientific technique in both analysis and 
 synthesis. The "taking" of one entity to be another that it is 
 not, and the localizing of it in some time and place, one or both, 
 or in some other universe of discourse, to which it does not 
 belong, are the ultimate errors. But the factual status of all 
 entities, such as physical and mental processes, dream, illusory, 
 and normally imagined objects, and all possible objects, can be 
 found in one consistent system, and all self-contradictions be 
 avoided. Some entities are existent, while others are only sub- 
 sistent, but all entities can be related functionally and efficiently, 
 and not causally, to the knowing process in which they are 
 "content." 
 
 XXII. Among entities various relations are found, an im- 
 portant case of these being the relation of logical priority, which 
 is defined as subsisting, if b implies a, but a does not imply b. 
 By virtue of this relation entities are "stratified" into various 
 types. 
 
 XXIII. Relations are themselves not causally related, causa- 
 tion itself being a specific relation. Certain relations are, how- 
 ever, dependent on others, e.g., the converse relation, b R a, on 
 the original relation, a R b, but this dependence is not causal. 
 Other relations are not even thus dependent, but are merely
 
 430 REALISM 
 
 consiste7it. Thus a term can stand in a number of independent 
 relations to different terms, losing or gaining any of these rela- 
 tions without the others. Entrance into and loss of the relation 
 of a particidar knowing process is an important instance of this 
 independence. Entities, including terms and relations, can ac- 
 cordingly he known as they really are, this knowledge heing 
 sometimes identical with immediate experience, and sometimes 
 with that which is, or which results from, analysis and reasoning. 
 
 This concludes the summary of those principles which, as dis- 
 covered by the criticism of systems that are explicitly opposed 
 to Realism and Rationalism, are nevertheless found to be tacitly 
 accepted and presupposed hy these (opposed) systems. These 
 principles form the general basis for a constructive and detailed 
 Realism and it is to the presentation of this constructive posi- 
 tion that we now proceed. 
 
 II. CONSTRUCTIVE AND DETAILED REALISM 
 CHAPTER XLII 
 
 THE ONTOLOGICAL PROBLEM AS SOLVED BY REALISM 
 
 I. INTRODUCTORY 
 
 It is characteristic of the majority of the philosophical sys- 
 tems of at least the last century and a half that they have 
 deemed it necessary to solve the problem of how we know before 
 they have endeavored to solve other problems. The epistemo- 
 logical problem has thus had a temporal priority over other 
 problems, although it is doubtful whether this priority has 
 been important, and whether it indicates that logical priority 
 which has been traditionally ascribed to the problem of knowl- 
 edge. 
 
 This traditional position toward the knowledge problem has
 
 THE ONTOLOGICAL PROBLEM 4,31 
 
 resulted from the conviction of many philosophers that they 
 were placed in the ego-centric predicament, — with no way of 
 getting out. If this is the case, then it would seem, of course, 
 that we must study knowing before we study "things." 
 
 The position taken toward the epistemological problem by 
 Realism is the same in some respects as that taken by opposed 
 systems, but is radically different in other respects. Thus, 
 although both realist and non-realist may each study the prob- 
 lem first, they reach very different conclusions. For example, 
 the non-realist concludes, that the temporal priority of the 
 knowledge problem over other problems rests on or implies 
 a logical priority, the reason for this conclusion being the tacit 
 assumption of the theory of internal relations as valid for the 
 knowing situation. Since hy this assumption knowing does make 
 a difference to the entity known, it follows, of course, that 
 knowing must be studied before other "things" are studied, and, 
 therefore, that the epistemological problem has more than a 
 merely temporal priority. 
 
 The results which the realist reaches are very different from 
 this. He finds that the priority of the epistemological problem 
 is only temporal and psychological, but in no way logical. Thus, 
 although he may study this problem first, he finds that it need 
 not have heen studied in order to know, or in order to go ahead 
 and discover various details of reality. And the ground of this 
 conclusion is, of course, the discovery (1) that there is a virtual 
 elimination of knowing from the entity known — by the method 
 of an analysis in situ; and, accordingly, (2) that the relation 
 between knowing and known object is external; (3) that the ego- 
 centric predicament is soluble; (4) that knoumig is not con- 
 stitutive of the object known; and (5) that problems are isolahle, 
 even as, empirically, they arc isolated. 
 
 On this basis the realist discovers that the non-epistemological 
 problems can be studied before as well as after the problem of 
 knowledge, and non-developmental and non-historical problems 
 before as well as after those of development and history,^ In- 
 deed, the view is taken, that there are good reasons for exam- 
 ining the facts of knowing, and of development and of history 
 only after, and not before, other facts are examined. The former 
 * Cf. Chaps. I and XXVIII.
 
 432 REALISM 
 
 are but a small part of the total realm of facts, while the study 
 of other facts seems to be more illuminative of the study of 
 knowing than conversely. 
 
 It is for these reasons that in the presentation of our o^vn 
 scheme of constructive Realism we begin, not with the epistemo- 
 logical, but with the ontological problem, and with those solu- 
 tions which Realism finds for this problem. 
 
 II. realism's solution of the ontological problem 
 
 This problem has to do, as we have seen,^ with the question 
 as to what is the ultimate nature of reality. Is it one both in 
 kind and number, and, if so, what is this kind; or, is it 
 many in number while yet one in hind; or is it many 
 both in kind and number f The answer "yes" to the first ques- 
 tion gives qualitative and numerical monism ; to the second, 
 qualitative monism and numerical pluralism ; to the third, both 
 qualitative and numerical pluralism. Modern transcendental 
 Idealism, as the doctrine that everything is One Spirit or Con- 
 sciousness, is an example of the first position ; atomistic Ma- 
 terialism and Berkeleian Idealism are examples of the second; 
 and Realism is an example of the third. 
 
 Each of these solutions, however, is an answer to a question 
 that is directed to the universe, and that concerns, therefore, all 
 the entities of the universe. Nothing can escape this inclusion, 
 no matter what it may be. The problem raises the question, 
 therefore, as to whether certain entities really are what they 
 seem to be, and whether they may not be reduced either to one 
 kind or to one entity, or to both one kind and one entity. 
 
 With the problem thus stated, it is illuminative to remind 
 ourselves of some of the types of entities that are contained 
 within this universe, and that, if there is to be a reduction, must 
 be reduced, either to a qualitative, or to a numerical One, or 
 to an entity that is both qualitatively and numerically one. 
 For, that everything must be considered and inchide<\ is made 
 clear by the fact, that were even one entity omitted, it might 
 prove refractory to that reduction to which all other entities may 
 submit themselves, with the result that monism would be im- 
 
 "Cf. Clwp V.
 
 THE ONTOLOGICAL PROBLEM 433 
 
 possible, and a dualism or a pluralism of some sort would be 
 the ontology that we would have to accept. 
 
 The difficulty of the task that thus lies before the philosopher 
 who would reduce all "things" to One, either in quality or in 
 number, is made impressive by a survey of even a small part 
 of the entities that must suffer such a fate — if this fate be 
 theirs to suffer. But by this survey there becomes evident, also, 
 the delicacy of the task of discovering the relations and the 
 systems of entities of the universe, whether they are "reducible" 
 or not. For, if they are reducible, the problem of their rela- 
 tionship as appearances still persists, while, if they are not 
 reducible, the same problem stands in respect to their "face 
 value. ' ' 
 
 Among the most interesting entities that must be thrown into 
 that total which is the universe, and for which place must be 
 found, is error.^ For within the universe error is; it is a fact 
 of some kind. Therefore, if one is a "reductionist" and a 
 monist, and his opponent is not, then must either the error of 
 the latter find its niche in the monistic Hall of Fame, or the 
 error of the former must be distinct and different from the 
 truth of the latter 's position and find its place in the Eogues' 
 Gallery of pluralism. 
 
 But there is not alone error and truth. There are also words, 
 and judgments, and attempts to know ; proofs, refutations, agree- 
 ments, disagreements, convictions, beliefs, hj^potheses, "things" 
 to know, states of affairs, etc., etc. These are all "somethings" 
 — although whether they are real or unreal, true or false, actual 
 or possible, possible or impossible, may be difficult to ascertain. 
 But at least they are entities of some kind that must in some 
 manner be recognized in any attempt to reduce everything to 
 One. 
 
 But in addition to judgments, to the attempts to know, and 
 the like, there are also dijficiilties, and alternative ways of solv- 
 ing philosophical problems. Also, there are other human beings 
 whom we would oppose or convince. And there are systems, — 
 not one, but many, — and postulates and assumptions. Then, too, 
 there is society, and custom and tradition, and hopes and de- 
 sires, and, also, the influences of all these on that which some 
 • Cf. Chaps. X., XLI., xx.
 
 434 REALISM 
 
 of us believe or hold to be true. This leads us to recognize that 
 there are discoveries and inventions, works of art and mechan- 
 ical constructions, "things good" and "things evil," opinions 
 and points of view. All of these are facts in some seyise and have 
 to he taken account of in any system of philosophy that deals 
 with the universe. Systems of philosophy other than our own 
 may be mere errors or inventions, but even then they are some 
 kind of fact or occurrence within the universe, so that our 
 system is not innocent of their guilt. 
 
 But just as there are many philosophical systems, so also 
 there are science and religion and logic, and different "positions" 
 within these. All the entities which have appeared in these 
 developments have some sort of status, either of error, or of in- 
 vention, or of discovery. In a monistic system all these must 
 be reduced, while in a pluralistic system their reduction is 
 found impossible and they all exist or subsist, although, perhaps, 
 at different places and times, or in other different universes of 
 discourse. 
 
 Science and logic have given us an almost inexhaustible list 
 of entities only the most important of which can be indicated. 
 For example, there are simple and complex, real and unreal, 
 existent and subsistent, inorganic and organic, physical and 
 mental entities; there are individuals, classes and series, things, 
 events, qualities and relations; there are continuity and dis- 
 continuity, infinity, finiteness, and endlessness ; numbers, space 
 and spaces, and time; dimensions, correspondences, variables 
 and constants ; intensity, extensity, quantity, magnitude and 
 measurement ; unity and plurality, fields and domains, universes 
 of discourse, the positive and the negative, conditions, connec- 
 tions and meanings. And one cannot neglect consciousness, 
 sensations, judgments, reason, emotions, instincts, behavior, sat- 
 isfaction, illusions, electrons, atoms, molecules, particles, forces, 
 energies, directions, laws. Formidable also is the field of rela- 
 tions in its resistance 1o the effort to reduce all "things" to 
 One, for in some sense there are the relations of identity, simi- 
 larity and difference, inclusion, exclusion and contradiction, 
 cause and function, dependence and independence, implication 
 and consistency, whole and part, logical priority, symmetry and 
 asymmetry, and transitivity and its lack.
 
 THE ONTOLOGICAL PROBLEM 435 
 
 Finally, for religion and art, there are goodness and beauty, 
 evil and ugliness, worth and its opposite ; divinity, the super- 
 natural, creation, emanation, immanence and transcendence, 
 heaven and hell, God and immortality, death and salvation. 
 Be these errors or truths, inventions or discoveries, they must 
 find their place in The One, if there be One, or must resist 
 reduction, if there be Many. 
 
 This rather long list of entities that in some sense are facts 
 is merely illustrative of the tremendous manifold of "things" 
 which make up the totality of the universe, and which must he 
 reduced in some manner, if Monism is to succeed. 
 
 Yet there are those that are not without hope in this task, 
 as we have already seen, though, in the opinion of the writer, 
 this hope is not realized. All attempts to ground a Monism 
 in solution of the ontological problem fail, because they are all 
 attempts which are based solely on an argument, from specific 
 postulates, that becomes self-contradictory at a certain points 
 And a One that is single numerically and qualitatively is not 
 discovered empirically. 
 
 The realist, therefore, can accept no one quality or substance, 
 no one "stuff," either mind or matter, or some unknown or 
 unknowable underlying entity, to which all other entities are 
 reducible, and which they ultimately are, or of which they are 
 manifestations. Rather, for him, there are kinds that are irre- 
 ducibly different, and there is an irreducible plurality of these 
 kinds.^ 
 
 In accepting this pluralistic ontology the realist and the 
 modern rationalist do not, however, deny that the numerically 
 distinct and qualitatively different entities of the universe are 
 related. Indeed it may be that there are no two entities that 
 are not related in one or more ways. But it is found that mere 
 r elatedness does not carry with it either the (causal) dependence 
 of term on term, or the necessity of an underlying reality to 
 mediate any relation. Were there such a dependence, and were 
 it causal, then each related term would partake of the nature 
 of all the others, all terms would fuse, there would be not many 
 terms, but One, and this One would be homogeneous in ehar- 
 
 * Chaps. XXVI., II., 3, XXXIV., XXXV., and XXXVIII. 
 » Cf. Chap. XLIV., II.
 
 436 REALISM 
 
 acter. Qualitative and numerical monism could thus be in- 
 ferred, if it could be shown that, because all terms are related, 
 they causally affect one another. But this is precisely what 
 empirical evidence refutes, since, as we have previously dis- 
 covered, there are undeniable instances of external and func- 
 tional relations, i.e., of terms related and yet independent. Also, 
 a monistic ontology could be established provided it were an 
 empirical fact of either sense or reason that an underlying 
 reality mediates the relation between terms. 
 
 Other systems that are monistic ontologies in one way or 
 another have also been found not to stand the test of criticism. 
 Chief among these are Subjectivism, Positivism, Materialism, 
 Psychism, and the mystical Evolutionism of some modern phi- 
 losophers. All these positions collapse when put to the test of 
 a critical method whose principles are presupposed as valid by 
 each of the systems in question.^ 
 
 For our acceptance, then, there remains only an ontological 
 pluralism, provided that no empirical evidence, as distinct from 
 the artificial character of the above mentioned systems, can be 
 found against this. And none can. No all-inclusive, all-entity- 
 constituting Being, One in kind and number, is empirically dis- 
 covered; neither is an entity that is one in kind, hut many in 
 number, nor is an entity that is many in kind, but one in num- 
 ber. Indeed there is not even one principle, one proposition, or 
 one state of affairs, implying all others, that is empirically dis- 
 coverable, i.e., there is no logical monism.'' Implication is found 
 to be a relation that is widespread in its subsistence, but it is 
 not universal. For even as terms are related without being 
 causally dependent, so are some propositions related without 
 there being implication between them. 
 
 One may conclude, therefore, that, from the proposition that 
 the entities of the universe form a system, no more unity can be 
 deduced {as present in the universe) than that there is a system 
 of individuals, classes, series, and the like, that subsist side by 
 side "at" some kind of loci, are merely consistent with one 
 another, and do not imply one another. In other words, from 
 the relatedness of the entities of the universe, one can no more 
 
 • Bee the criticism of these positions in Chaps. XXIX to XXXIII. 
 ' Cf. Chaps. XXXIV.-XXXVIII.
 
 THE ONTOLOGICAL PROBLEM 437 
 
 conclude to the universality of the implicative relation, than 
 one can to that of the causal relation, or to the subsistence of 
 one underlying, all-relation-mediating entity. By empirical 
 means one cannot go beyond the specific type of relation that is 
 found in each case. And relations that are neither implicative 
 nor causal are found a-plenty. 
 
 To accept this empirical method and the specificity of rela- 
 tions thereby discovered is the procedure of Eealism and of 
 Rationalism. But it is a procedure that leads to the con- 
 clusion, that Monism of any kind can be grounded only arti- 
 ficially, and that a Pluralism of many entities, of many kinds, 
 in many different relations, at many different loci is the only 
 ontology which stands the test of empirical investigation. Such 
 an ontology is, however, also a Cosmology. For a universe of 
 entities that are related in any way is a cosmos. It is, then, to 
 the task of presenting a realistic and rationalistic cosmology 
 that we now devote ourselves, with an apology for the very 
 evident insufficiency of our statement in the light of the great 
 wealth of material that is at hand. 
 
 CHAPTER XLIII 
 
 THE REALISTIC SOLUTION OF THE COSMOLOGICAL 
 PROBLEM 1 
 
 I. NORMAL OBJECTS, II. ERROR, AND III. THE NATURE 
 CONSCIOUSNESS 
 
 The solution which Realism and Rationalism give to the 
 cosmological problem extends far beyond the answers given to 
 the questions. Whether law and order are discovered, invented, 
 or projected into reality? Whether everything is change and 
 evolution, or there is some rest and permanence? Whether 
 there is chance and novelty, or only absolute and complete 
 
 ^Cf. Chap. VI.
 
 488 REALISM 
 
 determinism, and eternally old "things"? Kealism answers 
 these questions, but also does much more. Pluralistic in its 
 ontology, it arrives also at a broad cosmology in which the 
 solutions of other philosophical problems are an integral part. 
 
 There is little need to restate that Realism maintains that 
 terms, relations, laws, principles, regularities, order, classes, and 
 series are discovered, and not invented. Known entity and 
 knowing process, whatever its further nature hiay be, are found 
 empirically to be related externally and functionally, so that 
 there is no empirical reason for transforming, as do all opposed 
 systems, those relations and entities that are known. System 
 is found to be as compatible with the lack of universal implica- 
 tion and causation as it is with them, and the subsistence of 
 relations not to be identical with the dependence of related 
 terms, nor mandatory of further transcendent and mediating 
 entities. Realism thus takes "things" as it empirically finds 
 them. In this empiricism Realism accepts analysis as one means 
 of discovering fact, and finds that reason is free to follow the 
 outline-threads of implication, whereby states of affairs as well 
 as particular objects become known. Such an empiricism is, 
 indeed, guaranteed by every philosophical system — even by 
 those that attempt to insist on contrary doctrines. Relying on 
 this guarantee. Realism proceeds to the winning of its view of 
 the detailed nature of the universe — which is that totality of 
 "things" in which everything must find its place. 
 
 Some of the most important entities and principles that are 
 recognized and used by Realism in building up this detailed 
 position are: (1) relations ^nd-. organization (not the same as 
 organic), especially the relations of similarity and difference, 
 inclusion, "member of," asymmetry, transitivity, correlation, 
 logical priority, and independence as a very special type that is 
 distinct from causation; (2) the methods of knowing by type 
 and of analyzing in situ. The most important general hy- 
 potheses are those in which the ubiquitous application of the 
 concepts of substance and cause is looked at askance, and con- 
 tradiction is robbed of its terrors. And important among special^ 
 problems are those of error and of the nature of consciousness. 
 These two problems hang together most intimately, and ac- 
 cording as one solution or another is obtained for them, one
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 439 
 
 is forced to accept specific solutions of certain other problems. 
 Conversely, if one solve other problems first, the solutions thus 
 obtained (may) have a most important bearing on the solution 
 of this twofold problem. 
 
 In elucidation of the statements it may be said, that, through- 
 out the greater part of the historical development of philosophy 
 consciousness has been regarded as a kind of thing, substance, 
 medium, or menstruum,^ and accordingly, that the problem of 
 error has been solved by putting all errors entirely into this 
 conscious medium, thus to make their esse their percipi or 
 concipi. This is the solution which is made, e.g., of the specific 
 problem as to the status of the dreamt "falling from a roof," 
 of the seen convergence of the parallel rails, and of the apparent 
 bentness of the straight stick in the water. Thus, in the case 
 of the last example, it is argued that the stick cannot be hoth 
 straight and not straight (bent), since these are contradictories; 
 therefore, to avoid the contradiction, the straight stick only is 
 accepted as real, while the locus of the bentness is placed in 
 consciousness.^ For consciousness, conceived of as a substance 
 or medium, is indeed a sort of receptacle in which all entities 
 that are not objective can (seemingly) be placed. Historically, 
 therefore, it has been the concept of substance that, as applied 
 to consciousness, has conditioned a certain specific solution of 
 the problem of error. And with all error-objects regarded as 
 subjective, the next step to Subjectivism has been easy, namely, 
 to conclude that all objects are in their esse identical with their 
 percipi or with their coiicipi.^ 
 
 ' Cf. Chap. III. 
 
 ' Cf. as a typical example of this argument the articles by A. 0. 
 Lovejoy: "Reflections of a Temporalist on the New Realism," Jour, of 
 Phil., Psych., and Scientific Methods, Vol. VIII., pp. 589-590; "Secondary 
 Qualities and Subjectivity," Jour, of Phil., Psych., and Scientific Methods, 
 Vol. XL, p. 214 tf.; "Relativity, Reality, and Contradiction," Jour, of 
 Phil., Psych., and Scientific Methods, Vol. XI., p. 420 ff.; also see M. R. 
 Cohen's replies to Lovejoy: "The Supposed Contradiction in the Diversity 
 of Secondary Qualities," Jour, of Phil., Psych., and Scientific Methods, 
 Vol. XL, pp. 510-512, and " Qualities, Relations, and Things," Jour, of 
 Phil., Psych., and Scientific Methods, Vol. XL, pp. 617-627; cf., also, 
 F. J. E. Woodbridge. " The Deception of the Senses," Jour, of Phil., 
 Psych., and Scientific Methods, Vol. X., pp. 5-13, and A. 0. Lovejoy, " Some 
 Novelties of the New Realism," Jour, of Phil, Psych., and Scientific 
 Methods, Vol. X., pp. 29-43; also the Essays by Montague and Holt in 
 The New Realism, and Holt, The Concept of Consciousness, Chap. XIIL 
 
 * Cf. Chap. XXX.
 
 440 REALISM 
 
 On the other hand, the independent investigation of error in 
 recent times has been held by some philosophers to lead to the 
 acceptance of such a view as to the nature of consciousness that 
 it must be regarded as a substance or medium. The argument 
 of these philosophers has been, again, that contradictory char- 
 acteristics cannot coexist, and that accordingly the locus of 
 apparent "things" can only be in consciousness. Or the argu- 
 ment has been, that dreamt, imagined, remembered, and con- 
 ceived objects do not exist, and therefore cannot be efficient in 
 producing a consciousness of them, so that consciousness itself 
 must produce them.^ 
 
 The first of these arguments fails to convince, since it ignores 
 other possihilities as to the locus of the apparent object, — e.g., 
 in the case of the bentness of the stick, the complex, stick, water, 
 and light. And the second argument also fails, because it 
 neglects certain efficiencies, which, though not causal, are never- 
 theless real.^ If these efficiencies are considered, then, e.g., 
 dream-objects are as real as are existent ones, although they are 
 not realities of the same kind as are these last. 
 
 From this it is evident that a specific theory as to the nature 
 of consciousness leads to a specific solution of the problem of 
 error, and, conversely, that a specific solution of the problem 
 of error leads to a specific theory as to the nature of conscious- 
 ness. But it also thereby becomes evident, that another and 
 different specific theory as to consciousness should lead to a 
 different solution of error, and conversely, another and different 
 theory of error to a different view as to the nature of con- 
 sciousness. These suppositions are confirmed by that account 
 which Kealism and Rationalism give of both consciousness and 
 error. Consciousness is found not to be a substance, energy, 
 medium, or menstruum; error not to be subjective in its locus 
 and status. 
 
 One may start with either problem in order to establish these 
 conclusions. Thus, on the one hand, one may first ask the 
 question, What is that condition on which the genuine knowl- 
 edge of objects, as unmodified by the very act of knowing, is 
 possible? and then find in answer that this condition is, that 
 
 ° Lovejoy's articles, cited in note 3, are typical ol this position. 
 "Cf. Chap. XLIV.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 441 
 
 knowing and object should be externally, i.e., not causally 
 related.' But the further condition for such a non-causal rela- 
 tion is, that knowing and consciousness should not be of the 
 nature of a substance, after the historical model of a physical 
 thing with a substratum and inhering qualities.^ For, if con- 
 sciousness were such an entity, it would causally affect that to 
 which it is related, and so alter the entity to he known. There- 
 fore, if, as the very condition for there being genuine knowing, 
 consciousness cannot ie a suhstance, its capacity is lost for 
 holding or containing all dreamt, illusory, remembered, im- 
 agined, and conceived objects, after the manner of qualities 
 inhering in a substratum, and these objects must be in some 
 other locus. 
 
 On the other hand, if one first investigates errors or error- 
 objects in specific instances, he finds that there already is a 
 locus for them other than a substance-like consciousness. For 
 example, in the case of the bentness of the straight stick in 
 the water, this locus is the complex, stick, water, and light, 
 while in the instance of the parallel rails it is the complex, rails 
 and light.^ The substitution of a camera for a perceiving 
 organism establishes this in both instances. 
 
 For all other cases of objects that are illusory or hallucinatory, 
 remembered or imagined, hypothetical or abstract in general, 
 a very similar solution can be found. The "force" that his- 
 torically and traditionally is used to "drive" all such objects 
 into a receptacle-like consciousness, — already modeled after the 
 analogy of a physical thing — and that makes of this a sub- 
 stance, springs either (1) from the necessity of avoiding a 
 specific contradiction or (2) from regarding only normal 
 physical objects as possessing efficiency. 
 
 However, these two difficulties are avoided, and other possi- 
 bilities are opened up by bearing in mind the true nature of 
 contradiction. This is, as we have seen, exclusion}^ Exclusion 
 is a real fact in the universe. But what features of the universe 
 are exclusive of one another is to be ascertained only by eni- 
 
 ^ Cf. the criticisms of opposed theories in Chaps. XXIX.-XXXVIII., 
 also in Chaps. I., II., and III. 
 « Cf. Chap. III. 
 
 • Cf . Chaps. X., XI., XL., n., XLI., xx. 
 ^° Chap. XVI.
 
 44S REALISM 
 
 pirical investigation. A priori, solidity and color might be 
 thought to exclude each other from coexisting in the same place 
 at the same time, but empirically they are found to coexist. 
 Blue and red, however, are found to exclude each other under 
 such conditions. If entities are mutually exclusive, they must 
 subsist in different loci, though it is for empirical investigation 
 to find out what these loci are. They may be spatial, temporal, 
 or logical. If entities do not have excluding characteristics, 
 they may cosubsist at the same locus, whatever this may be. 
 Thus the ghost that is imagined to be stalking in a room is 
 really there, though as a non-existing reality. Some place in 
 the cosmos must certainly be found for it, and if this locus is 
 not consciousness, it can be space, although the ghost does not 
 belong to the universe of discourse of existent objects. Once 
 relieved from the necessity of identifying the locus of all such 
 entities with consciousness, one is free to find other loci. 
 And, conversely, one is freed from the hypothesis that con- 
 sciousness is a substance, by this very possibility of putting 
 error-objects into some other locus than consciousness. 
 
 Analogously, by realizing that entities other than physical 
 objects have efficiency, and that causation is not the only in- 
 stance or kind of efficiency, one is relieved from concluding that, 
 e.g., objects that are remembered and yet no longer exist, are 
 factual only in a receptacle-like consciousness. Within the 
 cosmos past time is a reality in some sense, quite as much as 
 are the future and the "specious" present, and past (physical) 
 occurrences and objects are also real, though perhaps not as 
 existing. Yet as real they are efficient, though not causally so — 
 which they need not be. And as efficient in a non-causal sense, 
 they account in part for the consciousness of them, — when the 
 demand is made that this consciousness be accounted for. In 
 this way one reaches the conclusion, that, e.g., though the red 
 mittens of his boyhood have long since disappeared into mere 
 nothingness, still they need not subsist in his consciousness when 
 he remembers them, but are quite as well oft" with an efficient 
 subsistence in a time, which, though past, is nevertheless real. 
 
 This solution of the twofold problem of error and of the 
 nature of consciousness, namely (1) that error-objects are not 
 subjective (conscious) in their locus and character, and (2)
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 413 
 
 that consciousness is not a substance, may itself he ohtained 
 either before other cosmological problems are solved, or after. 
 In either case, however, the solutions obtained for some problems 
 are helpful as regards others. There may be a psychological 
 influence of one procedure on another in solving problems, but, 
 unless the states of affairs, the entities investigated, are de- 
 pendent in such a vs^ay as mutually to constitute one another, 
 one is free both logically and psychologically to begin with 
 almost any problem. But that there is an independeiice among 
 states of affairs and universes of discourse, and the like, has 
 already been shown to be a fact. We are free, therefore, to 
 solve other cosmological problems in the light of our solution 
 of the twofold problem of error and the nature of consciousness, 
 or conversely. But our realistic cosmology must be such as to 
 include the solution of these problems, since they concern 
 entities that have some "place" in that totality which is the 
 universe. 
 
 In deriving this detailed realistic cosmology, one should con- 
 tinually bear in mind the great manifold of entities both in 
 kind and number that are "somewhere" in the universe. But 
 one also should not forget that there is not more order in the 
 universe than there actually is, and that the universe as the 
 totality of entities is quite compatible with a bare minimum of 
 relationships, namely, with the merely additive relation ex- 
 pressed by "and," and with the relations of similarity and dif- 
 ference. If the presence of only these relations means that the 
 universe is a Chaos, and not a Cosmos, then Chaos it is. In 
 fact, certain philosophies, notably Humanism, accept this possi- 
 bility, and endeavor to make not only the three relations just 
 mentioned, but also all others, merely human inventions that are 
 "read into" the universe, but that are not of it. However, 
 Humanism always neglects to inquire if some order, and, there- 
 fore, some cosmology is not already presupposed in the very 
 possibility of these inventions as human institutions.^^ 
 
 The realist, however, basing his position on rationalism, finds 
 that there are a great many other relations than those just men- 
 tioned, and that all relations are objective to the knowing con- 
 sciousness, and not resident in it.^^ 
 
 " Chap. XXXIII., V. and vi. " Cf. Chap. II.
 
 444 REALISM 
 
 rv. COMPLEX ENTITIES; V. CREATIVE SYNTHESIS; VI. FREEDOM 
 
 The physical universe is accepted by Realism essentially as 
 it is portrayed by the physical sciences, notably astronomy, 
 physics, chemistry and physical chemistry, physiology, and 
 biology. "Fundamental" realities other than those which, such 
 as electrons, are discovered by these sciences, are not accepted, 
 i.e., the physical universe is not regarded as transformable into, 
 e.g., One Underlying Spirit, of which all else is manifestation.^^ 
 
 Yet Realism criticizes these sciences, or, rather, the scientist 
 who pursues them, when he becomes short-sighted and dogmatic, 
 and identifies the story which these sciences tell with the whole 
 story that is to be told. Such dogmatism leads to Naturalism.^* 
 There is much else in the universe besides those entities that are 
 studied by the natural sciences.^^ 
 
 Further, Realism does not consider or regard the physical 
 sciences to be either entirely correct, or complete. The scientist 
 makes errors, taking that to be existent which may not be, and 
 making only approximations in most, if not in all cases. But 
 there is nothing inherent in this situation either to prevent 
 errors from being eradicated, and from having their own nature 
 revealed, or to preclude existent entities from being discovered, 
 and ever closer approximations made. Also, many entities and 
 many kinds of entities may be still unknown, but there is nothing 
 in the knowing situation to make them essentially unknowable. ^'^ 
 
 Contradictions exist or suhsLst in the realm of the physical 
 sciences in the sense in which contradiction has been defined, ^'^ 
 but there are no se?/-contradictions, and no contradictions that 
 cannot be resolved. For example, there are contradictory the- 
 ories, of course; but this situation can be solved by showing 
 that the entities denoted by one theory are not in the same locus 
 or universe of discourse as are those denoted by another,^** and, 
 therefore, cosubsist. Thus the entities of one theory may be 
 existents, those of another, non-existent subsistents, such as, 
 e.g., is the "hypothetical" perpetual motion machine of 
 
 " Cf. Chaps. XXXIV.-XXXVIII. 
 
 '' Chaps. XXXll., I., II.. and in. 
 
 " Cf.. e.g.. Chaps. XL, XXL, XXII., XXV., XXVII., XLV. 
 
 '" Chap. XLl., XX. 
 
 " Chap. XVI. 
 
 "• Cf. Chap. XVI.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 445 
 
 mechanics. For such a machine is a rationally consistent reality. 
 Likewise each instance of a seemingly damaging and always 
 formally expressible contradiction in the realm of existent 
 physical entities, as, e.g., the parallel rails and their apparent 
 convergence (non-parallel), this red and that blue and that 
 solidity (both not-red) , can always be solved by finding a dif- 
 ferent spatial locus, if the entities exclude one another, or a 
 common locus, if it is a fact that they coexist. 
 
 Within this physical universe one finds innumerable instances 
 of such relations as cause and effect, function, independence, 
 logical priority, and whole and part, whereby there is organiza- 
 tion — though in every instance of a specific kind. Accordingly 
 one finds different types of wholes, of parts, of unities, and of 
 individuals.^^ Some of these types are not usually noticed by 
 the natural scientist, and may, therefore, be advantageously 
 brought to attention in the presentation of a realistic cosmology. 
 
 The physical sciences, together with common sense, accept the 
 existence of individual things, such as tables and books, batteries 
 and bombs, gas fumes and smoke, though there may not be 
 agreement as to the definition of a thing, and, therefore, dif- 
 ficulty in some eases in determining whether "something" is 
 a thing or not — as, e.g., a current of electricity. But Avithin 
 that realm in which there is agreement as to what entities are 
 things, it is recognized that things move and also undergo a 
 change in quality, and therefore that also there are relations of 
 causation, and of similarity and difference. But as both similar 
 and different, things form classes in respect to specific qualities 
 and characteristics,-" Thus, e.g., there are some beings that 
 reproduce their kind, are sensitive and respond to stimuli, and 
 some that do not; and in turn among these beings there are 
 those that have a nervous system consisting of a brain and 
 spinal cord, and those that have not. But also, as somewhat 
 different from these classificatory characters, there are the 
 electrical, magnetic, thermic, osmotic, chemical, and other 
 forces that are present in individual physical things, or of which 
 a particular physical thing is a complex, and in respect to these 
 characteristics there are also classes. The class in each such 
 instance is composed of individuals; yet in the midst of the 
 " Chap. XXVII. '" Cf. Chap. XIII.
 
 446 REALISM 
 
 individuality there is a specific similarity, which is the fact of 
 otie state of affairs for all individuals. This fact, however, is 
 not identical with any one individual of the class, nor with 
 the whole group of individuals that make up the class. It is, 
 rather, "over and above' both individual and group, and may 
 be called the "objective concept," the knowledge of which is 
 the subjective concept. States of affairs of this kind hold of the 
 individuals of all classes, being, in respect to the individuals of 
 which they hold, inclusive of some, and exclusive of other indi- 
 viduals, while they may also, as specific states of affairs, them- 
 selves be members of other classes. Generic facts of this kind 
 are tacitly recognized, though they are not explicitly formulated 
 by the physical sciences. 
 
 More interesting, however, than these — to the logician — very 
 trite matters are certain other facts that also are not usually 
 recognized by the scientist. Certain individual objects, e.g., 
 those individuals that go by such names as protozoa, porifera, 
 and coelenterates, are groups of certain specific biological attri- 
 butes that are organized' by one or more relations, and that co- 
 exist in the same place at the same time. But in addition to 
 the biological properties of these individuals, there are other. 
 parts, and the attributes of these parts. Thus, e.g., some of the 
 parts of an amoeba are (1) molecules in colloidal solution, (2) 
 atoms, and, if modern physics is correct, (3) electrons. Yet 
 each of these is also a whole as well as a part; in one relation 
 it is the former, in another, the latter. 
 
 In a similar manner any organism is iXHeU.many "things" 
 at the same time. It is both one and fnawjl; also, both organism 
 and physiccd object. As an organism it is one and is related to 
 other organisms in many ways, while as a physical and chemical 
 object it is subject to gravitation, to thermic and electric forces, 
 and is a complex, perhaps, indeed, finally an organized group 
 of a tremendous number of electrons. The fact that it is organ- 
 ized does not, however, make it organic, for many organized 
 entities are not organic. Thus, atoms are organized into a 
 molecule, but the latter is not organic. The organic character 
 of the organism is identical, rather, with those specific attributes 
 which appear as a result of its specific organization. 
 
 An organism is each one of all these "things" and attributes
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 44,7 
 
 by virtue of being an organized whole, or a relational complex. 
 But it could be a moving body and a chemical complex without 
 being a living being. Therefore some of the "things" or quali- 
 ties which an organism is by virtue of the organization of cer- 
 tain parts, such as colloidal particles, molecules, and atoms, 
 are 7iot necessitated, implied, or caused by, though they are 
 compatible with, such parts. 
 
 The situation just described as holding for any organism is 
 one that is found to be repeated for all complex and organized 
 individuals, living and non-living, plant and animal, in the 
 physical world, additive wholes alone being the exception. In- 
 deed it is a situation that is also found in the mental realm, and 
 in that field which is neither physical nor mental, yet factual, 
 namely, the field of subsistents. Certain further and important 
 aspects of this situation should now be mentioned. 
 
 In the physical world (and elsewhere) it is an established 
 empirical fact, that parts as non-additively organized form a 
 whole which has characterictics that are qualitatively different 
 from the characteristics of the parts. A simple and familiar 
 illustration of this is the formation of water out of hydrogen 
 and oxygen. The relation between hydrogen and oxygen is 
 7iot additive, but organizing, and the characteristics of the 
 water are not the same as are those of its chemical components. 
 Also, the appearance of these 7iew characteristics (of the whole) 
 is not nullified by the hypothesis that they are potential in the 
 parts in any sense ; for, even if it be granted that this hypothesis 
 does anything more than conceal our ignorance, it but repeats 
 the problem in the form of the question as to Jiow the existential 
 appears out of the qualitatively different potential. On the 
 other hand, if the hypothesis, that there are non-additive rela- 
 tions, is accepted as an empirically established principle from 
 which deductions concerning specific instances can be made, 
 then one can understand in just this sense the specific de novo 
 appearance of certain qualities. "Things" added give merely 
 a total of the same qualities as the parts have. For example, 
 one atom of carbon plus another, plus a third, are three times 
 one atom in respect to all qualities that one atom has. But 
 three atoms of any kind organized chemically, i.e., related nan- 
 additively, are a molecule, even as H H organized are water,
 
 448 REALISM 
 
 and the resulting whole has characteristics different from those 
 of the parts. 
 
 This process of the formation of new qualities through the 
 organization of parts into wholes may be called creative syn- 
 thesis. Just as in the case of classes, in which individuals are 
 organized by the relation of similarity, the state of affairs of 
 a specific similarity is itself unitary and not many, and is dis- 
 tinct both from each individual of the class, and from the class 
 as a whole, so in other organized wholes a similar situation 
 is found.-^ Certain specific relations, recognized, named, and 
 technically formulated in special sciences, organize parts into 
 wholes, and there are states of affairs resulting that are identical 
 with new properties, and that are different and distinct from 
 the individual parts and their properties. Therefore the reduc- 
 tion of these new properties to those of the parts in the sense of 
 identification, and the finding of a causal determination also 
 in this same sense is impossible. The properties of the whole 
 are, at least some of them, new, and in just this respect are a 
 ''law unto themselves" and in this sense free. This does not 
 mean that they are lawless, but only that their specific prin- 
 ciples of "behavior" are not identical with those of the parts. 
 
 Such a situation, however, presents certain interesting and 
 important instances of principles that have been emphasized 
 throughout this volume. An individual, defined as the sub- 
 sistence and perhaps coexistence of several qualities, attributes, 
 or characteristics in the same locus, is m- ny "things" at once, 
 which, however, are not all causal derivj: lives of one another. 
 Thus, e.g., an organism is a biological individual, with specific 
 characteristics that follow biological laws; but it is also a 
 physical complex of forces that follows the laws of physics, and 
 a chemical complex of entities that follows the laws of chemistry. 
 For each biological quality and its changes there are correspond- 
 ing purely physical and chemical qualities and changes, hut this 
 relation of correspondence is not causal. Rather, it is func- 
 tional. The physical and chemical changes could take place 
 without there being a biological individual. Therefore, it is 
 their organization by specific organizing relations that "gives" 
 the organism and the qualities that arc peculiar to it.^^ And 
 
 *'Cf. Chap. XXVIl. "' Cf. lialdwiii, Divelopmfnt and Evolution.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 449 
 
 the situation is quite the same as regards inorganic physical 
 bodies and their chemical constituents. In both cases constit- 
 uent parts may come and go, hut the organization remains; 
 the latter is more permanent than the residence in it of the 
 ''material" parts. 
 
 At or within each level of phenomena that thus results from 
 the organization of parts into a whole causal relations exist, and 
 individuals are found to resemble one another in respect to 
 these relations. Accordingly empirical causal laws are discov- 
 erable. Thus, e.g., the entrance of the nucleus of the sperma- 
 tozoon into the ovum is said to cause cell division. But this 
 empirical fact, at this level, is neither supplanted by, nor 
 incompatible with, nor deducible from, the further facts, that 
 both spermatozoon and ovum are physical bodies and complexes 
 of chemical compounds, and follow physical and chemical 
 laws. 
 
 From facts of this kind there is derivable an interesting ^ 
 definition of freedom that may best be indicated by first em- 
 ploying it, to the effect, that at each level or stratum of reality 
 formed by the non-additive organization of parts into a whole, 
 qualities or phenomena are free to act in accordance loith their 
 own nature and their own causal connections iviih other quali- 
 ties of this level, for the absence of these qualities at other and 
 "lower" levels is the absence of the occasion either for deter- 
 mination {or its lack) in respect to these qualities. No higher 
 level violates the laws of those lower levels which, in individual 
 instances, are organized in the higher level as its constituent 
 parts; but also no loiver level causally determines any higher 
 level. Accordingly there is the interesting and, for the solution 
 of many a moot question in both philosophy and science, im- 
 portant principle, that as between any ttvo levels there is (1) no , 
 occasion for conflict, but only opportunity for compatibility ; I 
 yet (2) no possibility of derivation and deduction of higher 
 levels from lower, and therefore (3) no complete identity of , 
 higher levels with lower, so that (4) all levels that are higher | 
 in relation to others as lower are primarily discoverable and 
 ascertainable only by inductive and empirical investigation, 
 although (5) once discovered, the compatibility and correlation 
 of higher levels with lower is also determinable, so that (6) sub- \
 
 450 REALISM 
 
 sequently computations in terms of lower levels may be made 
 as the means of control and prediction of higher levels, even as 
 this is done, as a matter of fact, in the instance of every cor- 
 relation of independent (lower) and dependent variable (higher 
 level). This principle is illustrated by the fact that in all those 
 instances in which, by means of the most exact and precise 
 analysis and measurement, a correlation of all higher levels with 
 that level which is lowest and most fundamental has been estab- 
 lished, namely, with the number series, this series is used as 
 a means of computation and prediction and the like. But this 
 fact does not mean, certainly, the complete identity of all higher 
 levels with number. 
 
 Freedom consists, therefore, of action in accordance with those 
 characteristics which subsist at a certain level of organization, 
 but do not exist at other (lower) levels, yet is quite compatible 
 with law and determination both at this higher level and at 
 lower levels. Freedom of this kind subsists at each level of 
 reality in the universe, not only in the mental, but also all 
 through the physical and the merely subsistent realms. 
 
 An example of this phase of realistic and rationalistic cos- 
 mology will help both to make our discussion clear, and to 
 present considerations of very practical bearing. 
 
 A human being is, like other living beings, at one and the 
 same time a biological individual, a complex of chemical com- 
 pounds, and a physical object. Even that which distinguishes 
 him as human from other living beings is his pecidiar biological, 
 physical, and chemical organization. But a human being is also 
 an ethical and a reasoning being. However, neither his ethical 
 nor his rational nature conflicts with his biological, his phj^sical, 
 or his chemical characteristics, since, by virtue of the former 
 he is something more than — he is over and above — the latter. 
 The particular ethical and rational characteristics presuppose 
 the particular biological, physical, and chemical characteristics 
 embodied in any one human individual, but they cannot be 
 derived from or identified with these latter, though, once dis- 
 covered, they can in some way be correlated with them. But 
 from this there follows the conclusion — of the gravest impor- 
 tance for the world in the present world-conflict of standards — 
 that ethics is not a iranch of biology, even as biology is not a
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 451 
 
 branch of chemistry and physics, and also that conscience, will, 
 and reason, although not undetermined and lawless, are never- 
 theless free — free, however, in the very specific sense of being 
 realities in a realm from which causation is absent, hut in which 
 the ideals of right and justice and truth are present as ef- 
 ficiencies, thus to lead men to 'act as they ought to act, and 
 to reason as the implicative structure of reality dictates, and 
 not as tradition and custom and authority would have them 
 reason. 
 
 VII. AND Vm. SPACE AND TIME AS PART OP THE COSMOS 
 INFINITY AND CONTINUITY ^^ 
 
 The cosmological principles thus far discovered are further 
 exemplified by such entities as space and time in contrast with 
 their constituent parts, and by the relation of the physical 
 world to these two entities. 
 
 It is a commonplace, of course, to remark, that the physical 
 world is spatial (and temporal), but just what this means, as 
 a proposition, is anything but a matter of common knowledge. 
 Accordingly a determination of the more exact and precise 
 meaning of this statement will be attempted, as an essential part 
 of our outline of realistic cosmology. 
 
 Several meanings to the statement that the physical world is 
 spatial are distinguishable, as, e.g., that physical objects (1) are 
 spatially extended, or, (2) as extended, exist in space, or (3) 
 have the same characteristics as space, or (4) presuppose space. 
 The latter meaning is, however, most important, since the former 
 three either reduce to, or depend upon this specific relation of 
 presupposition. Therefore, with the characteristics of this rela- 
 tion determined, the former meanings can be made clear, pro- 
 vided the nature of space itself is first explained. 
 
 Physical objects presuppose space in the sense, that they could 
 not exist were space not a reality, but that space would be a 
 reality without them. Briefiy, space is logically prior to physical 
 objects. Physical objects depend on space, but are not caused 
 by space ; they do not constitute space, and space does not depend 
 
 ^''Cf. this presentation with Chaps. I., XXL, XXII., XXIII., XXIV., 
 and XXVU.
 
 452 REALISM 
 
 on them, yet space constitutes them in part, and conditions them, 
 though not causally. 
 
 Space, like time, is an organized whole or relational complex, 
 that consists of several kinds of parts, and that has various 
 characteristics. It consists of dimensions, such as lines, planes, 
 and volumes, in specific relations to one another, and also of 
 points. Also, any finite space consists of smaller spaces; i.e., 
 lines, as finite, consist of smaller lines, planes, of smaller planes, 
 and volumes, of smaller volumes. These several kinds of parts, 
 as organized in specific instances by certain specific relations, 
 form ivJioles; for space is not the merely additive result of its 
 parts, but is a non-additive whole. Indeed, this is the secret of 
 the fact (1) that points, defined as the unextended elements of 
 space, form extension of one dimension, as it is also of the facts, 
 (2) that lines form a plane, and (3) planes, a three-dimensional 
 manifold or volume. In space, then, there are embodied specific 
 organizing relations. These relations are asymmetrical and 
 transitive, and are similar to the relations of "ancestor of" 
 and "greater than." Thus, e.g., since the relation "ancestor 
 of" is not identical with its inverse, "descendant of," it is asym- 
 metrical, and also, since if A is ancestor of B and B is ancestor 
 of 0, A is ancestor of C, it is transitive. 
 
 But extension as a whole, e.g., any specific extension, is dis- 
 tinct from both the parts and their relations. Thus a finite 
 line 'consists of both smaller lines and points; a plane, of both 
 smaller planes and lines; and a volume, of smaller volumes, 
 planes, and points. But while the parts (of each kind) and 
 the relations are individuals, and therefore many, and each be- 
 longs to a specific type, the whole that results from the organ- 
 ization of the parts is one, although it has, or, more precisely, 
 is properties that are different both from the organizing rela- 
 tions and from certain kinds of parts, if not from others. For 
 example, a finite line and the smaller lines that are its parts 
 are of one type, for both are extensions; but the other type of 
 parts, namely, the points, lack this specific characteristic. 
 
 In respect to each of the several different kinds of parts, the 
 whole that "results" from their organizaiion may have dif- 
 ferent and distinct characteristics. Thus, e.g., in respect to 
 smaller finite lines as parts, a line is finite, or, if the parts are
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 453 
 
 very small relatively {as units of measurement), endless (which 
 means, 7iot ivithout end, but only not yet ended or measured) ; 
 yet, in respect to points the line is also infinite. But since the 
 line is made up both of smaller lines and of larger ones, and 
 also of points, it is "at one and the same time ^'endless, finite, 
 and infinite. These are quite consistent characteristics, since 
 they concern different phases or aspects of the line, and belong 
 in different universes of discourse. The line itself, however, 
 is that unitary entity which is the organization of these 
 ** phases," and of the parts which "condition" them. 
 
 The infinity of, e.g., a line consists in the fact that there are 
 as many points in any finite part as there are in the whole. How 
 many points, one cannot say, i.e., one cannot count them, or 
 designate them by any finite number, but one can say "as 
 many," if not "how many," This definition of infinity is, evi- 
 dently, in terms of the relation of one-one correspondence be- 
 tween the points of the whole line and those of any of its proper 
 parts (smaller lines). It is a definition whose "principle," 
 however, allows us also to define a cardinal number as the "class 
 of all classes that are in one-one correspondence." Thus, e.g., 
 in the case of the soldiers of the regiment to whom guns are 
 assigned, one gun per man, two classes, men and guns, agree in 
 one characteristic, namely, their cardinal number, N, so that 
 this is a class of those two classes.-^ 
 
 This definition of cardinal number clearly makes no distinc- 
 tion between finite and infinite numbers. However, such a dis- 
 tinction is made by the definition, that an infinite number is 
 that class of two classes one of which is a proper part of the 
 other, as, e.g., the even integers (as well as the odd) are a 
 proper part of the series of doth odd and even integers. It then 
 follows that a finite number is one that is not infinite. That 
 specific state of affairs which is infinity does not hold, there- 
 fore, of a line in reference to the smaller lines that are its 
 constituents, for clearly, in reference to these, there are more 
 constituents in the whole than in any proper part. But, in 
 reference to points, there is a one-one correspondence between 
 whole and proper part. It must be, therefore, that points have 
 
 '* This is Mr. Russell's definition of cardinal number, which seems to 
 be accepted by the majority of mathematicians, if not by all.
 
 454 REALISM 
 
 no size, no extension, and that they themselves, as individuals, 
 are neither infinite, finite, nor endless. We may conclude, then, 
 that these last characteristics result from the organization of 
 points, and belong to the line as a whole, but not to the points 
 or to the organizing relations. 
 
 If, now, instants, lines, and planes are organized by asym- 
 metrical transitive relations, we have, respectively, time, planes, 
 and volumes, as the resulting wholes. Yet of each of these dif- 
 ferent types of whole, essentially the same propositions hold 
 that have just been stated as holding for lines. Thus, e.g., time 
 (all time) is a one dimensional series of instants, related asym- 
 metrically and transitively, and without beginning and end; 
 past time, however, ends with the present, as future time begins 
 with it, yet each is infinite. Any finite period of time, with 
 two ends, instead of one, is also infinite — in respect to instants ; 
 but it is finite in respect to smaller times, as opposed to instants, 
 although it is also endless if these smaller times are so small 
 that their enumeration is not ended. In a similar way a plane 
 is infinite in respect to lines, yet also both finite and endless 
 in respect to smaller planes; a volume, infinite in respect to 
 both planes and lines (and points), but finite and endless in 
 respect to smaller volumes. 
 
 But there are other characteristics of these wholes that must 
 also be briefly considered in order that our presentation may 
 be complete in certain essentials. These characteristics concern 
 continuity, discontinuity, and ''density." -^ First, it may be 
 remarked, that owing to the relative grossness of even the most 
 refined experimental methods, it is impossible to ascertain 
 whether the space and time of our perception are strictly con- 
 tinuous or only dense, if they are not, indeed, discontinuous. 
 The reason for this inability of experimentation is, that the 
 limits of those errors that are unavoidably incurred in meas- 
 urement are such as to include the differences between continu- 
 ous and dense, and perhaps, also, between co7itinuous and 
 discontinuous space and time. 
 
 The differences between these three characteristics or entities, 
 whichever one space, time, and, also, motion and change in gen- 
 eral may be, have been technically determined, with very great 
 
 ^» Cf. Chaps. II., XXII., XXIII., XXIV., XXV.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 455 
 
 precision and exactness, during the last fifty years, chiefly, 
 however, through the investigation of mimher. 
 
 26 
 
 IX. NUMBER 
 
 In the results thus obtained a cardinal numher is defined as 
 the number, N, of any two groups of objects, no matter what 
 their character, that are in one-one correspondence with each 
 other. A cardinal number is, therefore, the very mi7iimum of 
 resemblance between two specific groups in respect to their 
 manifoldness. The group of positive integers, or of natural 
 numbers, is the group of cardinal numbers, N's, that are thus 
 discovered. These integers in their natural order, i.e., the order 
 of magnitude, are a series. 
 
 This series may be defined as determined, generated, or or- 
 ganized by a relation, R, "less than," symbolized by <, that 
 is (1) "connected," (2) "irreflexive," (3) "transitive for 
 distinct elements," and (4) "asymmetrical for distinct ele- 
 ments,"" the two last properties being, perhaps, the most im- 
 portant ones to which to give our attention. In so far as the 
 relation < has these four properties, it satisfies respectively 
 three postulates and one theorem, namely, 
 
 "Postulate 1. If a and b are distinct elements of the class, K, 
 then either a <,b, or b <. a." 
 
 "Postulate 2. If a < b, then a and b are distinct.'' 
 
 "Postulate 3. If a <b and b <. c, then a < c." 
 
 '"The presentation that follows is one the essential features of which 
 may be found in a number of recent treatises on the subject. Tlie best 
 presentation known to the writer is E. W. Hobson's Theory of Functions 
 of a Real Variable, 1907 ; other systematic presentations are those of 
 V\hitehead, Introduction to Mathematics; J. W. Young, Fundamental 
 Concepts of Algebra and Geometry, especially Chaps. VI. -XI; W. H. and 
 G. C. Young, Theory of Sets of Points, 1906; G. H. Hardy, Pure Mathe- 
 matics, 1908, especially Chap. I.; E. Cassirer, Substanzbegriff und Funk- 
 tionsbegriff, Chap. II. on Number and Chap. III. on Geometry. 
 
 Cf., also, as some of the more imi)ortant contributions in the develop- 
 ment of the modern theory of number, etc. : Bolzano, Paradoxien des 
 Vnendlichen, 1851 ; R. Dedekind, Stetigkeit und irrat. Zahlen, 1872, and 
 Was sind und tvas sollen die Zahlen, trans, by Beman as, Essays on 
 Number 1901; G. Cantor, Grundlagen einer algem. Mannigfaltigkcitslehre, 
 1883; G. Frege, Die Grundlagen d. Arithmetik, 1884; Russell, Principles 
 of Mathematics, and Scientific Method in Philosophy in various places; 
 Koyce, The Principles of Logic, loc. cit.j and E. V. Huntington, " The 
 Continuum as a Type of Order," Annals of Math., Vols. VI. and VII., 
 1905, and The Continuum, 1917. 
 
 *'E. V. Huntington, The Continuum, 1917, p. 11, note.
 
 456 REALISM 
 
 "Theorem I. If a < & is true, then 6 < a is false." ^* 
 
 These postulates can be demonstrated to be consistent and yet 
 independent.-'' 
 
 A slight critical inspection of the class of all the natural 
 numbers, 1, 2, 3, 4 . . . n — 1, n,n -\-l (or the first n of them), 
 in their natural order, reveals the fact that this class is a series 
 in that it satisfies these three postulates and Theorem I., and is 
 generated by a relation which has the properties 1 — 4. 
 
 The negative numbers and may be dismissed with the state- 
 ment, that they are implied by the possibility of a certain 
 operation, substraction, such that, if a and h are any two nat- 
 ural numbers, a — b is a number. Evidently, if a <ib, then 
 6 — a is a positive integer, as, e.g., 3 — 2 = 1; but likewise, for 
 the operation, a — &, if a < &, there must be negative numbers, 
 as, e.g., 5 — 7 = — 2, and, in the special case of a = &, 
 a — & =: 0. In this series of negative and of positive integers 
 and zero, the asymmetrical and transitive relations above men- 
 tioned relate any three distinct numbers. 
 
 But there are not only natural numbers, such as we have just 
 examined, but there are also fractions. Fractions, however, are 
 of two kinds, rational and irrational. Rational fractions may 
 be defined in a number of ways, one definition being that they 
 are those numbers which are implied by a certain operation, 
 namely, division, provided this is not the same as repeated sub- 
 traction, or identical ivith an integer. Division is defined by 
 
 the operation -^ which is such that, if -j- be "taken" b times, 
 
 20 
 A }) = a. If, in a concrete case, this is, e.g., -„-, one can say 
 ' 
 
 the result is the same as " taking 7 away twice," and 
 
 finding 6 as a remainder, and, in another concrete case, if we 
 have -=-, this =2. A rational fraction may, therefore, be 
 
 D 
 
 defined as such a number as is implied by a division that is not 
 reducible to either of the two cases thus exemplified. As exam- 
 ples that fulfil these conditions we may cite 1/2, 1/3, 1/4, 1/5. 
 
 As characteristic of these fractions it is found, that, if -r- 
 " Ibid., p. 10. " Jhid., Chap. II.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 457 
 
 c 
 and —5- be any two such numbers, there is always a fraction 
 
 — 7~ _. — betiveen them. Thus, e.g., between 1/4 and 1/2 
 
 there is the fraction 3/8, between 1/4 and 3/8 there is the 
 fraction 5/16, and between 1/4 and 5/16 the fraction 9/32, and 
 so on to infinity; i.e., between any two rational fractions there 
 is an infinity of rational fractions. 
 
 This characteristic may be used in a second definition of 
 rational fractions, though not as an exclusive definition, since 
 irrationals also have the same property. But it is a character- 
 istic that distinguishes rational fractions (as well as irrationals) 
 from integers. Rational fractions are numbers such that (1) 
 between any two there is a third and therefore an infinity of 
 other similar "elements," so that (2) no rational fraction is 
 next to any other rational fraction, i.e., no rational fraction has 
 an immediate successor or an immediate predecessor. In con- 
 trast with these two characteristics of rational fractions, the 
 integers, both positive, negative, and zero, in their natural order 
 are such that the members of some pairs of integers have no 
 integer between them, and are, therefore, next to each other. 
 This is the fact, e.g., with the pairs (7, 8), ( — 4, — 3), etc. 
 
 However, integers and rational fractions are similar in respect 
 to the characteristic, that the difference between any two ele- 
 ments of either class is finite, although this difference may in 
 some instances be very small. This is quite evident in the case 
 of the integers, where the difference between any two integers 
 is always another integer that occupies some place in the series 
 of integers. Thus, e.g:, 9 — 4=:5;3 — 1 =:■ — 4. But the same 
 principle holds also of the rational fractions, since the difference 
 
 a c • 
 
 between any two such fractions, -^ and —-, is itself a fraction, 
 
 d 
 
 da — c h 1 1 3 J • M -A r\ • i-i. 
 
 ? — n > ^-d-y -?r ?- — i>v» s^^d IS finite. One important 
 
 ha 2 5 10 
 
 bearing of this principle is, that if any series, e.g., that series of 
 velocities which is accelerated motion, were ordered like the 
 series of rational fractions in order of magnitude, there would 
 be "sudden jumps," — i.e. (in the instance of accelerated mo- 
 tion), jumps from one specific finite velocity to another, in 
 which case continuous change of velocity would be impossible.
 
 458 REALISM 
 
 It is evident, therefore, that, if there are series and processes 
 which are genuinely continuous, they must present a type of 
 order that is dijferent from and something more than that type 
 which is presented by the integers and rational fractions in order 
 of magnitude. 
 
 Such a type is found by developing the implications of certain 
 characteristics of the rational numbers, namely, the integers and 
 rational fractions. Such a method leads to the discovery of still 
 another type of numlier, namely, the irrationals, and it is 
 through these numbers, together with the rationals, that the 
 precise nature of continuity is established, or that the con- 
 tinuum is generated. On the basis of the principles that that 
 which is (found to be) implied must be admitted to be a fact, 
 irrationals are to be accepted as facts — though of a specific kind 
 — as much as is anything else which is disclosed either by 
 reasoning or by sensation. 
 
 That characteristic of rational numbers which, through the 
 development of its implications, most particularly leads to the 
 discovery of irrationals is called a "cut." A "cut" may be 
 defined as a separation of an ordered class into two sub-classes, 
 A-L and A2, such that every element, a^, of one class, A^, pre- 
 cedes every element a, of the other class Ao. 
 
 In the case of the series of all integers (positive, negative, 
 and zero) this cut is identical with each and every integer; for 
 each integer a separates the series into two sub-classes, A^ and 
 An, one of which, A-^, is less than a, and the other, A^, greater 
 than a. But whatever integer a may be, e.g., 5, then those 
 integers that are less than a include a last number, and those 
 that are greater include a first, 4 and 6 respectively in the ex- 
 ample chosen; also, the number a may be assigned either to 
 those numbers which are less, or to those ivhich are greater, so 
 that, in the former case, every number of class Aj and also a 
 itself < A„, while, in the latter case, every element oi A^ <. a 
 and also every element of A,. In both cases, A^ has a last, and 
 A2 a first number, and they are next to each other. 
 
 However, this state of affairs is not found for the rational 
 fractions, as may be made clear by taking an example. Let us 
 suppose an element, a, say, 1/3, and let this be the last of the 
 elements of the class 4, all of whose elements (numbers) < all
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 459 
 
 those of Ao. Then A^ has a last, but Ao has no first element, 
 in distinction from the case with the integers. For betiveen 
 any fraction, ^3 (of -^2)9 and 1/3, there is another fraction, 
 
 — ' ^ , and so on, so that 1/3 is not next to any fraction that 
 
 is greater. 
 
 The interesting question next arises, whether there are also 
 numbers or "cuts" (A^ A^) of such a character that not only 
 An has no first (as with the rational fractions), but also that A-^, 
 which precedes, has (in distinction from the rational fractions) 
 110 last element. In other words, is there such a "cut" or 
 number, A^ An, that, to state it somewhat paradoxically, all 
 those numbers that are less (than all those that are greater) 
 have no last, and all those that are greater (than all those that 
 are less) have no first element? 
 
 Investigation shows that this question must be answered with 
 **yes." Again to take an example, there is a number, a, let 
 us say (V 2 ), such that, if we evaluate it, using rational 
 fractions (decimals) therefor, and approximating nearer and 
 nearer, yet getting now a fraction that is too large, and 
 now one that is too small to equal 2 when "squared,'^ 
 this number a separates the whole class of such (decimal) 
 fractions into two sub-classes which have the characteristic 
 that, while all the elements of the one, A-^, are smaller 
 than all the elements of the other. An, nevertheless in the one, 
 A-^, there is no "largest" and last element, and in the other, Ao, 
 no "smallest" or first element. Thus, in our example, in the 
 first sub-class, A^, there is an infinite series of fractions that 
 are all greater than any mentionable one, such as 1.4142, but 
 that are still all less than any one of the infinite series of frac- 
 tions of the second class, Ao, all of which are greater than any 
 element of A^ ; yet in this sub-class, A2, there is likewise an 
 infinite series of fractions that are smaller than any mentionable 
 one, such as 1.4143. The number a, i.e., the actual number so 
 inadequately symbolized in our example by V 2 , and impossi- 
 ble of naming or stating by any decimal, is not a member either 
 of A^ or of An, and in this respect differs from any rational 
 fraction, such as 1/3, which is either a member, namely, the last,] 
 of that series, A^^, all of whose elements are less than all the
 
 460 REALISM 
 
 elements of A^ that have no first, or, is the first of that series, 
 A2, all of whose elements are greater than all those elements 
 of Ai that have no last element. 
 
 Another and less technical way of stating the same thing 
 is, — to continue the example — that a, as the square root of 
 2 (V 2 ), is not a member of either the series of rational frac- 
 tions that are smaller or of those that are greater than a, but is 
 the limit that is approached by both the smaller rational frac- 
 tions, A^, as they "become" larger and larger, and by the 
 larger fractions, A^, as they "become" smaller and smaller. 
 Between these two series a is "squeezed" in, and to it, as a 
 limit, one can "come" as near as one pleases, without ever 
 reaching it ; also between it and any rational fraction ' ' on either 
 side," the difference is not finite, in contrast with those differ- 
 ences that subsist between all rational numbers. In this con- 
 trast there lies, perhaps, the secret of the "ability" of the 
 irrationals to generate the continuum, in the strictest modern 
 sense of this term. And also in the fact that an irrational is 
 not a member of either of the two sub-classes or sub-series that 
 approach it, we may discover the important principle that a I 
 limit is not a member of the series of ivhich it is a limit. Such J 
 a principle has an important bearing on the status of ideals in 
 questions that concern the logical possibility of any genuine 
 progress and advance in, e.g., the ethical condition of mankind. 
 
 In summary, then, we may assert that modern analysis dis- 
 closes several different types of numbers, important character- 
 istics of some of which have just been presented, and that those 
 types which chiefly concern us, in our discussion of cosmology, 
 are positive and negative numbers, and zero, and integers, ra- 
 tional fractions (both rational) and irrationals. There are fur- 
 ther technical differences between these several types that need 
 not, however, for our purposes, be considered or presented. Such 
 differences concern, e.g., such definitions as that integers are 
 those 7iumbers ivhich are natural; rational numbers, those which 
 are pairs of integers; and real numbers, those ivhich are classes 
 or fundamental segments of rationals. 
 
 As sufficiently accurate for our purposes, therefore, we may 
 accept the distinctions above stated, and then point out, that, 
 if we "take" a certain specific series that is constituted by (1)
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 461 
 
 integers, say, — 1, 0, and +1, (2) rational fractions, namely, 
 the infinity of such fractions between — 1 and 0, and and + 1 
 respectively, and (3) the irrationals between these two end- 
 points, -with (4) all elements of these three types in order of 
 precedence or of magnitude, we then have a series that (5) is 
 a linear continuum in the most precise modern sense of this 
 term, and that also (6) is sometimes called a class of real 
 mimhers. 
 
 This series satisfies the three postulates, 1 — 3, and also 
 Theorem I,, previously stated, and is generated by a relation 
 that is ''connected," "irreflexive, " asymmetrical, and transi- 
 tive; hut it (this series) also satisfies a principle which has just 
 been disclosed in our discussion of "cuts," and which may 
 now be formulated as Postulate 4 (Dedekind's), and, finally, 
 satisfies two other postulates, namely, those of (5) density 
 (illustrated by the rational fractions) and (6) linearity. 
 
 Postulate 4. If J.^ a7id A^ are any two non-empty suh-classes 
 of A, such that every element of A belongs either to A^ or to A^, 
 and every element of A^ precedes every element of A^, then 
 there is at least one element a in A such that: 
 
 (1) Any element that precedes a belongs to Aj^ and 
 
 (2) A7iy element that follows a belongs to A^.^'^ 
 Postulate 5 {postulate of density). If a and b are elements 
 
 of the class A, and a <Cb, then there is at least one element 
 X in A such that a <. x and x < b.^^ 
 
 Postulate 6 (postulate of linearity). The class A contains a 
 denumerable sub-class R in such a ivay that between any two 
 elements of the given class A there is an element of R.^- 
 
 In explanation of the terms here used it may be further said 
 that a class is denumerable if it is such that its elements can be 
 put into one-one correspondence with the elements of a pro- 
 gression, the simplest example of which is the series of natural 
 numbers in the usual order, 1, 2, 3, . . . 
 
 Postulates 1-6 and Theorem I. define, in the most accurate 
 way that modern analysis has yet determined, the linear con- 
 tinuity of a series. In other words, any series that satisfies these 
 postulates is a continuous linear series. Such a series is found 
 in the case of the series of real numbers (positive, negative, 
 
 »" Huntington, op. cit., p. 44. »' Ihid. "• Ibid.
 
 462 REALISM 
 
 or zero) in their usual order (that of magnitude), and also in 
 any series that is in one-one correspondence with this series. 
 Such possibly continuous series are, space of one dimension, 
 time, motion, acceleration, and qualitative changes in general. 
 
 If such series are continuous in the strict sense of this term, 
 then they conform to that type of order which satisfies the six 
 postulates and one theorem just referred to. But, as before 
 stated, experimental verification that there is such conformity 
 in any specific instance is impossible, owing to the relative 
 grossness of experimental methods. Therefore, so far as experi- 
 mental methods can determine, such series as space of one 
 dimension (and indeed of ?2-dimensions), time, motion, and the 
 like, may be merely dense, or even discontinuous, but to which- 
 ever of these characteristics they may conform, a precise defini- 
 tion of their character is nevertheless at hand. 
 
 Thus if space, time, or any other series is dense, it conforms 
 to the order type of the rational fractions, thereby excluding 
 the irrationals, and satisfies, with the exception of Postulate 4, 
 all the postulates 1-6, and Theorem I. ; while, if such series are 
 discontinuous or discrete, they conform to the order type of 
 the integers, positive, negative, or zero, and satisfy, with the 
 exception of Postulate 5, the postulates 1-6, but also two other 
 postulates, namely, 
 
 Postulate 7. Every element of a discrete series A, unless it he 
 the last, has an immediate successor,^^ and 
 
 Postulate 8. Every element of a discrete series A, unless it 
 be the first, has an immediate predecessor.^* 
 
 All the postulates thus far considered can be demonstrated 
 to be consistent and indepe7ident,^^ and thus to furnish another 
 instance of that principle, namely, the theory of external rela- 
 tions, which is one of the main contentions of Realism and 
 Rationalism. 
 
 But our presentation of certain facts discovered by analysis 
 with reference to the nature of number, makes it possible not 
 only to state with precision ivhat is the continuity, density, or 
 discontinuity of any series that may have any of these proper- 
 ties, but also to define with equal precision certain other char- 
 acteristics, such as infinity and finitude, that different series 
 
 »' Op. cit., p. 19. »* Ihid. '° Op. cit., Chaps. Il.-V.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 463 
 
 may possess, as well as to specify the character of the relations 
 between different series, and, finally, to determine the status of 
 number series in a cosmos that ipso facto contains all entities. 
 
 Modern analysis would seem to begin, in the investigation of 
 these problems, with the examination of cardinal numbers, and, 
 as a result, to define a cardinal number as the class, N, of two 
 or more classes that are in the relation of one-one correspondence 
 with one another, — one and only one individual of the one 
 class corresponding to one and only one specific individual of 
 the other, no matter what the order. However, if there is a 
 definite order, as in the case of the points of a line, this one-one 
 correspondence still holds, subsisting between those points which 
 make up a proper part and those which make up the whole. 
 In this case there are as many points in the proper part, defined 
 as that part which is like the whole, as there are in the whole. 
 Cardinal number is defined, then, in terms of one-one cor- 
 respondence, and of "as many as," but not of "how many." 
 
 Thus to define cardinal number is to make no distinction 
 between a -finite and an infinite cardinal. This distinction, how- 
 ever, is made by the definition, that, if the one-one corre- 
 spondence is between whole and proper part, the number of 
 elements is infinite. Finite is then defined as that which is 
 not infinite, whereby one-one correspondence of whole and 
 proper part is precluded. Thus, e.g., in respect to a unit of 
 measurement, a proper part does not contain as many individ- 
 uals as does the whole, and is, therefore, finite. 
 
 Whereas, now, finitude and infinity subsist as a class of 
 classes independently of the order of the elements of these classes, 
 and merely by virtue of a one-one correspondence between these 
 elements, continuity holds only of ordered classes, although the 
 classes be but segments, or sub-classes, of the same ordered class, 
 e.g., of the series of real numbers in order of magnitude. "With 
 as many members in any proper part of such a series as there 
 are members in the whole to which this part belongs, the 
 cardinal number of elements in both part and whole is infinite, 
 yet the continuity of the series is not identical with its infinity. 
 The continuity consists, rather, in the fact that the series con- 
 forms not only to those postulates (1-3) (and Theorem I.) that 
 logically determine a series, but also to the postulates, 4
 
 464 REALISM 
 
 (Dedekind's), and 5 (density), and, in the case of a linear 
 continuum, 6 (linearity). These last postulates may be stated 
 in simple form as meaning (Postulate 5) that between any two 
 elements there is another element; and (Postulate 6) that there 
 are elements such that the sub-class of elements before any 
 specific element has no last term, and the sub-class after, no 
 first term — from which it follows that, while the difference be- 
 tween members of certain pairs of terms of such a series is finite, 
 the difference between the members of other pairs is not finite. 
 
 Accordingly it results, in the case of any entity, such as time, 
 space, motion, and change, that is (1) a series, and (2) con- 
 tinuous, that, whereas the series is ''made up" of elements that 
 are distinct (Postulates 1 and 2), this distinctness does not mean 
 discontinuity,"® and, also, whereas there are finite differences be- 
 tween certain elements and others, nevertheless between the 
 members of other pairs of elements there are no such differ- 
 ences, and therefore, in the vernacular, no gaps or sudden 
 jumps — in the case of any kind of change. 
 
 X. MOTION, QUALITATIVE CHANGE, AND EVOLUTION 
 
 Our long and seemingly digressive discussion of numbers 
 results, therefore, in conclusions that are of direct bearing on 
 specific cosmological problems. For space, time, motion, and 
 qualitative change of many kinds are all facts within the cosmos. 
 Therefore, through the investigation of number, it can be shown 
 that each of these is a series, which, if it is in any instance either 
 continuous, dense, or discrete, is this in a very definite and 
 precise sense — but in a sense which, although it presents em- 
 pirical difficulties to analysis, discloses no grounds for dis- 
 crediting analysis as such.^'^ 
 
 But our discussion and seeming digression also has an im- 
 portance of its own. For the number continuum is an entity 
 which, in the cosmos of the realist, is found to have a status 
 that is quite independent of space, time, motion, and all quali- 
 tative change. Indeed cardinal and ordinal numbers, integers, 
 rational fractions and irrationals, continuity and infinity, finite- 
 
 '" Cf. the opposed and inaccurate view of Bergson in Creative Evolution 
 and elsewhere. 
 
 "' Contra Bergaon's view again
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM ^65 
 
 aess, discontinuity, and density are each found to be independent 
 of and logically prior to space, time, motion, and change in 
 general in the sense, that they are presupposed by these (latter) 
 complexes, though the converse necessitation does not hold. Or, 
 to state this another way, it is found that specific propositions 
 can be asserted or postulated concerning numbers and their 
 characteristics, and the implications of these propositions he 
 developed, ivithout space and time being implied. And a similar 
 statement can be made regarding the relation of every logically 
 prior science to every logically subsequent one. This means, 
 e.g., that arithmetic is logically independent of geometry and 
 of the science of time, as these in turn are logically prior to 
 and independent of mechanics, physics, and chemistry. Such 
 an independence is confirmed by the actual procedures respec- 
 tively of the ''pure mathematician," the geometer, the mecha- 
 nist, and the physicist, as each pursues his specific investiga- 
 tions in independence of logically subsequent sciences. 
 
 Space, time, motion, acceleration, and change in general are 
 empirically discovered, and are then found to be similar to the 
 numbers in their most important characteristics. They "belong 
 to" order-types that subsist among the number series, they are 
 correlated with these series, and, in general, are related to the 
 number series in many ways. Yet these relations are not in- 
 ternal. They are, rather, external and functional, — in some 
 cases, indeed, in the precise sense of this term as meaning the 
 subsistence of a relation of one-one correspondence between two 
 series. 
 
 A similar statement can also be made concerning the specific 
 instances (1) of the relation of the rest and the motion of a 
 material particle to space and time; (2) of acceleration to mo- 
 tion; and (3) of qualitative change in general to space and 
 time. Thus, e.g., both motion and rest are discovered em- 
 pirically, and not deduced from space and time. Yet, once 
 discovered, they are found to presuppose, and in certain respects 
 to be mnilar to both space and time. These last entities, how- 
 ever, do not constitute either motion or rest, nor is the relation 
 between the former two and the latter in any way "internal." 
 
 Motion, as it occurs in the existential world, and as also a 
 fact in the ideal subsistential world of mechanics, is the occu-
 
 466 * REALISM 
 
 pation of each point, of a series of points, for a particular 
 instant, of a series of instants. Each particular point is 
 occupied for a specific instant, and not for some other; at 
 instant a^, point h^. is occupied; at instant Uy, point &„ ; at 
 instant a^, point h^. This is a relation of one-one correspond- 
 ence between points and instants. The one-one relation, R, 
 whereby a^ R h^, but not a^ R by, generates the com- 
 plexes flaj/sJ bx, ttyR by, a^ R bz- Motion itself is, then, the 
 series of these complexes, this series being in turn generated by 
 an asymmetrical transitive relation, Ras between these com- 
 plexes as wholes. But the complex, ax R bx is itself neither 
 motion nor rest, as it is so often erroneously claimed to be.''® 
 Yet out of it and similar complexes motion is logically generated 
 or organized, the secret of this being that the relation, Ra,, is 
 non-additive, so that a whole results that has different qualities, 
 as a whole, from those of the parts. It is in this way that 
 motion is made up of ultimate "elements" that are themselves 
 neither motions nor rests, even as extension of one dimension is 
 composed of elements that are not extended, and time, of instants 
 that are not durations. 
 
 Qualitative physical change other than motion, e.g., change 
 in electrical potential, presupposes space and time in quite the 
 same sense as does motion, so that we do not need to consider 
 it in further detail. But, further, both motion and qualitative 
 change may be either uniform or accelerated. Motion and 
 change as uniform could, however, be existent facts without 
 there being any existent acceleration, but the converse possi- 
 bility does not hold. Rather, acceleration presupposes motion 
 and change, one or both. 
 
 As has been previously stated, it may be impossible, owing 
 to the relative grossness of empirical methods of measurement, 
 etc., to determine whether perceptual time and space and ex- 
 istential motion and qualitative change are continuous in the 
 precise meaning of this term, or are only dense, or even dis- 
 continuous. But what can be asserted and justified on the 
 basis of an empiricism that accepts rational analysis as a means 
 of discovery, is, that, if either perceptual space, time, motion, 
 acceleration, or change in general, including a universal Evo- 
 
 ** For example, by liergson, op. oit.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 467 
 
 lution^^^ is continuous, or only dense, or even discontinuous, then 
 each such entity possesses one or the other of these character- 
 istics in that precise sense which is determined in and through 
 the study of number. 
 
 If any of these entities is continuous, it is like the series of 
 real numbers (in their ''usual" order), and will contain ele- 
 ments that are ordered through a one-one correspondence with 
 the integers, the rational fractions, and the irrationals in order 
 of magnitude. Accordingly no element will be 7iext to any 
 other, and between certain elements and others there will be 
 710 finite difference or "distance." Also any "proper part" 
 will contain as many elements as does the whole, so that both 
 whole and part are infinite. However, since this one-one cor- 
 respondence does not hold with reference to finite (measured) 
 constituents, yet both whole and proper part contain such con- 
 stituents as elements, the whole that is infinite in one relation- 
 ship may be finite in another. 
 
 But if space, motion, change, and Evolution are relational 
 complexes of the type of the ordered series of rational numbers 
 alone, then are they only dense in the precise sense of this 
 technical term. Accordingly, no element, be it point, line, plane, 
 or instant, is next to any other, since there is another element 
 between any two elements, although there are, also, finite dif- 
 ferences or gaps, small though these be, from element to element. 
 Further, any dense whole may be both infinite and finite, even 
 as is the case with any whole that is continuous. 
 
 Finally, space, time, motion, change, and Evolution are dis- 
 continuous, if their elements are related as are the integers 
 alone. Then every element, except there be a first or last, has 
 two elements next to it, one before, the other after, and again 
 are there finite differences. But also, since there are as many 
 odd integers, and as many even, as there are odd and even, 
 infinity is quite possible in such a series, side by side with its 
 discontinuity, and such infinity can also cosubsist with finitude, 
 provided this last means the presence, in the series, of either 
 a last element, and no first, or a first element, and no last, as 
 illustrated by all the negative integers, and by all the positive 
 
 ^'' For an analysis of these entities see the writer's Essay in The New 
 Realism.
 
 468 REALISM 
 
 integers respectively. But if a series has hoth a first and a last 
 element, and is discontinuous, then it cannot be both finite and 
 infinite. For the first element can be put in one-one corre- 
 spondence Avith 1 and the last with n, and in such a series there 
 are not as many odd (or even) integers as there are hoth odd 
 and even. 
 
 It is evident, therefore, that in all those cases in which a 
 unit of measurement is applicable to some entity that permits 
 of measurement (the condition for this being, perhaps, that 
 the unit of measurement and the "thing" measured are of the 
 same magnitude — as a specific property), (1) the application of 
 such a unit may result in correlating a specific part of the entity 
 to be measured, namely, that part which has no predecessor, 
 with the number 1; and (2) that the repeated application of 
 such a unit may result in correlating other specific parts (of 
 the entity to be measured) each with the successors of the num- 
 ber 1, i.e., with the positive integers, so that (3) "in due time" 
 any integer, n, can be reached in this way. Any entity which 
 can be thus measured is ipso facto finite, and, also, if it is cor- 
 related only with such discrete elements (units), discontinuous, 
 though it may also, in relation to other parts, be continuous. 
 But it is also evident that whether or not one succeeds in cor- 
 relating a specific part of the entity to be measured, with the 
 number, n, even though a first part may be correlated with 1, 
 depends, in some instances, on the unit of measurement that is 
 used ; and that, accordingly, if the number n is not reached, 
 that which is to be measured is endless, while if n is reached 
 the measured entity has a certain size — that is relative, however, 
 to the unit of measurement that is used. 
 
 It follows from this that certain entities within our cosmos, 
 e.g., space as a whole, and time as a whole, have no size, and that 
 they are endless; for no unit of measurement has yet been found 
 whereby eithei* of these entities has been correlated with a last 
 integer, n, although, relative to certain arbitrarily chosen units, 
 certain entities, such as physical and mental existents, are meas- 
 ured, and have a first and a last element. But even in this case, 
 what that last integer may be with which such a last element 
 of a measured entity is correlated, depends upon, or is relative 
 to the arbitrarily selected unit of measurement. If this be
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 469 
 
 small, the thing measured may be very large, while, if the unit 
 be large, the measured entity may be small, indeed, very small. 
 
 But also, any entity which is measured, finite, and of a specific 
 size on such a basis, may *'at the same time" be quite outside 
 the universe of discourse of size (and quantity) in respect to 
 constituents that cannot be correlated with the integers from 
 1 to 71. Thus, e.g., a line that is a specific length as measured, 
 is or has, as also ''made up" of points, neither length nor size. 
 
 From all this we reach certain conclusions that form an 
 integral part of realistic cosmology, such as the conclusion, that 
 the spatial and temporal universe (space and time) is endless 
 and without size. Likewise the physical universe is as yet end- 
 less and "sizeless," though in due time, through empirical 
 methods, it may be measured, and thus have an end, and, in 
 relation to any arbitrary unit, be of a specific size. This would 
 be the case whether such a universe is "made up" ultimately 
 of an energy, e.g., electricity, that is continuous, or of discrete 
 entities, such as electrons, that are discontinuous. For a fmite- 
 ness of two ends is compatible with a continuity and an infinity, 
 although such a finiteness "side hy side" with a discontinuity 
 precludes an infinity of those elements that are "discontinuous 
 with" one another. 
 
 Finally, as regards those strata of the universe which 
 are "determined" by the relation of logical priority,*'^ one 
 must conclude, that such strata in their logical order, e.g., 
 
 number j^P^^^ (. motion, and qualitative physical change, do 
 — I time ) 
 
 not form a series that is either continuous or dense, but a series 
 
 that is discontinuous; yet a series, also, that has neither size nor 
 
 finiteness, since there is no common unit of measurement, i.e., 
 
 common quality that is a magnitude, except the attribute of 
 
 manifoldness. Accordingly, if numher as the first stratum can 
 
 be correlated with the number 1, space and time as the second 
 
 stratum with the numbers 2 and 3, motion with the number 4, 
 
 consciousness with the number n, — at present, — it is implied 
 
 that there may he other strata, n -j- 1, n + 2, w + 3, ieyond 
 
 consciousness which have not yet come within our specific 
 
 knowledge. 
 
 *" See Chaps. I., II., III., XIII., XLI., and XLIII., iv.-x.
 
 470 REALISM 
 
 XI. CONSCIOUSNESS AS A DIMENSION AND A VARIABLE 
 
 The foregoing discussion of space, time, number, order, and 
 the like, enables us now to examine understandingly certain 
 further specific problems, some solution of which must find its 
 place in a cosmology. These problems concern the nature of 
 consciousness,'^^ especially certain specific solutions of this prob- 
 lem that have been presented in recent philosophical discussion. 
 These solutions are to the effect that consciousness is either 
 (1) a relation,*^ or (2) a "new dimension,*^ (or both), or, 
 perhaps, a disembodied quality, or (3) that it does not exist 
 at all." 
 
 To whichever one of these three (or four) classes of entities 
 (to which may be added "event") consciousness may belong, 
 and however great the lack of exactitude in current discussions 
 of such "theories" may be, still any one of these possible solu- 
 tions of the problem of consciousness has the merit of being 
 opposed to the view, that consciousness is in any way a substance. 
 For that this view must be given up, is a conclusion that we 
 have been forced to accept again and again by all sorts of con- 
 siderations—by all sorts of facts.*^ Accordingly, consciousness 
 
 " See the volumes, The New Realism, Essays by Holt, Montague, and 
 Pitkin, also Holt, The Concept of Consciousness, especially Chaps. VI., 
 IX., and X., and James, Radical Empiricism, Essay VIII. Also see the 
 following articles: F. J. E. VVoodbridge, "The Nature of Consciousness," 
 Jour, of Phil., Psych., and Scientific Methods, Vol. II., 1905; "The Problem 
 of Consciousness," in Studies in Philosophy and Psychology in The 
 Oarman Memorial Volume; " Consciousness," " The Sense Organs," and 
 " The Nervous System," Jour, of Phil., Psych., and Scientifio Methods, 
 Vol. VI. ; " The Deception of the Senses," Jour, of Phil., Psych., and 
 Scientific Methods, Vol. X.; Wm. James, "Does Consciousness Exist?" 
 Jour, of Phil., Psych., and Scientific Methods, Vol. I., and in Essays in 
 Radical Empiricism; W. P. Montague, " The Relational Theory of Con- 
 sciousness and its Realistic Implications," Jour, of Phil., Psych., and 
 Scientific Methods, Vol. II.; B. H. Bode, " Tlie Definition of Conscious- 
 ness," Jour, of Phil., Psych., and Scientific Methods, Vol. X.; R. F. A. 
 Hoernle, " Neo-realistic Theories of Consciousness," Proc. Durham Phil. 
 Soc, Vol. XIII.; G. E. Moore, "The Subject Matter of Psychology," 
 Proc. Arist. Soc, Vol. X. ; Perry, " Conceptions and Misconceptions of 
 Consciousness," Psych. Review, Vol. XL, and in Present Philosophical 
 Tendencies, Chap. XII. ; C. A. Strong, " The Nature of Consciousness." 
 Jour, of Phil., Psych., and Scientific Methods, Vol. IX., pp. 533 S., 561 ff., 
 and 589 If. 
 
 *^ E.g., by Woodbridge, loc. cit. 
 
 ** E.g., Pitkin, in The Neiv Realism. 
 
 ** J. B. Watson and the other " behavioriats." 
 
 " See Chaps. I.-llI., X., XL, XXVI., XXiX.-XXXVIII., XL., u., XLI., 
 XXI., XLIIL, i.-ui.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 471 
 
 must be either a dimension, a relation, a disembodied quality, 
 or an event, — or two or more of these ''at the same time." 
 Which of these is consciousness ? 
 
 If, now, one theory that has recently been advanced is correct, 
 namely, the theory, that consciousness is a "new" dimension, 
 then, unless this theory is to present a purely arbitrary view, it 
 must conform to that definition of a dimension which receives 
 at least fairly general acceptance in scientific circles. 
 
 Such a definition is obtained by considering such matters as 
 we have just previously discussed, and is to the effect, that 
 a dimension is a linear series*^ (and, therefore, more than a 
 mere class). 
 
 This definition comports with that frequent usage of the term 
 dimension to characterize, e.g., space as an entity that is of one, 
 two, three, or even n dimensions. But it is also a definition that 
 is consistent with the result, which analysis obtains, that the 
 space to which such a definition is applied, may be continuous, 
 or dense, or possibly, though questionably, discontinuous. 
 
 With this the case, it is necessary to make distinct definitions 
 for each of these three possible kinds of dimensions, but such 
 definitions would conform to those postulates *^ by which each 
 of these characteristics is logically determined. 
 
 But dimensions may also vary, as the examination of space 
 as an example again discloses, as having hoth a first and a last 
 "element," a first, but no last, and a last but no first; and also 
 as being either finite or infinite. 
 
 Alone common, therefore, to those usages in which the term 
 dimension is employed {e.g., to space) is the linear serial char- 
 acter of that which is dimeiisional. Other characteristics are 
 merely the differentice of the several species of dimensions. 
 
 With the definition of a dimension which thus results, namely, 
 that a dimension is a linear series that is either dense, or 
 continuous, and the like, — it follows that a great many "things" 
 in this universe may be dimensional, and that it would not be 
 surprising if consciousness were included in this class — of 
 dimensional entities. For a great many entities are series. 
 Indeed, that they are a series, or else entities that are "ele- 
 
 *' Cf. Huntington, op. cit., p. 58. 
 
 *' See the immediately preceding discussion of this chapter.
 
 472 REALISM 
 
 ments" of or correlations of series, and the like — and not siih- 
 stances, is one of the most general results of modern scientific 
 investigation.** 
 
 But linear series are organized wholes, or relational complexes, 
 that satisfy the postulates, 1, 2, 3, 6, and Theorem I. They 
 therefore involve ''elements" and certain specific types of rela- 
 tions, namely, those that are asymmetrical, transitive, irreflexive, 
 and connected. 
 
 If the relations that organize elements into linear series or 
 dimensions are always of this type,*^ then, although in special 
 series there may also be further specific relations, it is due, in 
 some cases at least, to the presence of qualitatively different 
 elements, that certain series are qualitatively different dimen- 
 sions. Among such qualitatively different series that we have 
 already considered are: iiine, whose elements are instanis, a 
 geometrical line, whose elements are points, space of w-dimon- 
 sions, whose elements are already of n-1 dimensions, motion, 
 whose elements are points — related in a 1-1 manner to instants. 
 Other and "new" series or dimensions which, however, we have 
 not yet considered are: the class of moral values in order of 
 superiority ; the events of any causal chain, in order of cause 
 and effect; and, finally, and for us, at this juncture, important, 
 the class of one's distinct sensations, of such particular kinds as 
 sensations of color, sound, warmth, or pain, arranged in order 
 of intensity. 
 
 There are undoubtedly, then, many different dimensions — 
 different in that they are qualitatively distinct — v/hich is quite 
 possible although all belong to the same class, dimension. 
 
 There are, therefore, not only dimensions, which are them- 
 selves relational complexes, but also relations among or between 
 dimensions. Thus, e.g., we have just been led to recognize that 
 there are relations of both similarity and difference among 
 dimensions — a fact that is not without considerable importance 
 for us. For it allows us, e.g., in the case of time, to discover a 
 dimension that is not spatial, and in the case of space, a dimen- 
 sion that is not temporal, and therefore suggests that certain 
 dimensions, certain linear series, e.g., moral values, are neither 
 spatial nor temporal, but quite outside these two universes of 
 
 *' Cf. Chap. H. "Cf. Huntington, op. cit., p. 11.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 473 
 
 discourse. Consciousness, also, therefore, if it should prove to 
 be a dimension, might be both non-spatial and non-temporal, 
 or either one, and not the other. 
 
 But there are not only relations of (1) similarity and (2) 
 difference among dimensions, but there are also specific rela- 
 tions of (3) correlation, and (4) "multiple order," as is illus- 
 trated respectively by that correlation of space with time which 
 is motion (or velocity), and by space of more than one dimen- 
 sion (multiple order). 
 
 These three cases are, now, to be carefully distinguished in 
 examining the question, whether consciousness is a "new" 
 dimension or not; i.e., one should distinguish (1) the fact of 
 qualitatively distinct linear series from (2) the fact of cor-l 
 related linear series, and these two cases from (3) the fact of 1 
 multiply ordered dimensions or series. 
 
 With this preparation, we may now endeavor to answer our 
 question: Is consciousness, either "in general" or in its par- ] 
 ticular instances, a dimension, and, if it is, what are those dif- 
 ferentice which distinguish it from other dimensions, and what 
 are its relations to other dimensions? 
 
 In answer to these questions it may be said, first, that con- 
 sciousness as a generic term is not a dimension, but only an 
 (objective) concept that is identical with the fact of a resem- 
 blance in respect to the awareness that characterizes all those 
 particidar instances which we designate as conscious. Our ques- 
 tions refer, therefore, to particular entities that are called con- 
 scious, namely, to sensations, memory images, emotions, and the 
 like. 
 
 With reference, now, to such particular conscious entities, it 
 seems to be an undoubted empirical fact that certain ones of 
 them do form a series, and thus are dimension-like. This is the 
 case, as has already been instanced, Avith sensations of color, 
 light and shade, sound, warmth, pressure, smell, taste, and pain 
 in order of, at least, intensity, if not, also, of extensity. Dif- 
 ferences of intensity may also characterize the different kinds 
 of images, both of memory and of imagination, and, likewise, 
 the emotions; but whether or not reasoning is so characterized 
 is very much open to question. 
 
 There is also no doubt that particular conscious processes
 
 474 REALISM 
 
 as well as certain manifolds of such processes are serial or 
 dimensional also in another sense, namely, that they are cor- 
 related with time — indeed the term conscious process itself, as 
 process is defined, connotes this correlation. Finally, certain 
 specific fields of sensations are found empirically to form 
 multiply ordered classes, as, e.g., sensations of sound as ordered 
 according to (1) pitch, (2) intensity, and (3) duration. 
 
 But these empirical matters have long been accepted as 
 matters of fact in psychology and philosophy, so that the ques- 
 tion. Is consciousness a dimension? means something different 
 from what such affirmative answers as the above would seem to 
 imply. Thus our question would seem to mean, e.g., in the field 
 of sensations, not. Is a specific manifold of sensations serial in 
 such respects as intensity and duration? nor even, Is one par- 
 ticular sensation serial as having duration f but, Is a particular 
 sensation a one-dimensional set, over and above such generally 
 admitted dimensionalities? or, if the qualitative content and 
 the aivareness can be distinguished, Is either this awareness or 
 this content a dimension? 
 
 If, now, these very specific inquiries are answered in the 
 affirmative, it is well to inquire further what such answers imply. 
 They assert that a sensation, an awareness, or a sensation- 
 content is as such a dimensio7i. But what does this imply? 
 Our answer is, that it implies, seemingly, that there are elements 
 — for, up to the present at least, no dimension or series has been 
 discovered that is not a complex, and that does not as such pre- 
 suppose elements. 
 
 Can, now, such elements be discovered for any particular 
 consciousness as a dimension, and, if they can be, what is their 
 character? Are such elements in turn conscious elements — 
 '' petit es perceptions" — which, as organized asymmetrically and 
 transitively, are a qualitatively specific dimension that is a 
 sensation? // they are (conscious), then, however, is the prob- 
 lem only repeated in the form, Are such (conscious) elements 
 themselves dimensions? while if they are not conscious elements, 
 then is this repetition of the problem avoided. 
 
 One might as well, therefore, accept "at its own level" the 
 problem. Is a sensation a dimension — apart from its duration, 
 its membership in an intensity series, and the like? and not
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 475 
 
 attempt to derive such dimensionality from the serial organiza- 
 tion of "conscious elements." And one must also accept the 
 problem, Can elements be found whereby as a dimension (if 
 such a sensation is found to be) it conforms to the requirements 
 of that definition of a dimension which is generally accepted, 
 namely, that it is a linear series? 
 
 Our answer to this inquiry reintroduces principles that have 
 frequently appeared, and been frequently used in foregoing dis- 
 cussions. Is length one or manyf or. Is it both one and many? 
 Yet how can it be both? Still, if it is both (by some hook or 
 crook), then as one, is it a dimension? Yet is it not admitted 
 to be a dimension — not many, but one, — perhaps indeed a 
 dimension par excellence? 
 
 Such puzzles would seem to be solved by the frank admission 
 that length is one (or would some maintain that it is qualita- 
 tively two?), and yet that is also many — yet not many lengths 
 (which but repeats the problem) but many points — organized 
 in a very specific way — as we have seen. This means that its 
 organized "manyness" is its oneness, and that its oneness, as 
 length, is identical with its being a dimensio7i. 
 
 Dimensionality, therefore, does not imply either a manifold 
 of elements that are (of necessity) themselves dimensions, or 
 its own complexity, but only a manifold of elements that are 
 (numerically) distinct from itself and that are organized by 
 very specific relations. This is, indeed, implied in the principle, 
 that the elements of an n-dimensional manifold are themselves 
 n-1 dimensions — in other words, that "in" the elements of a 
 dimension, one dimension "falls out." 
 
 Length, then, is a dimension — one, and only one — although! 
 it is made up of "elements" that are 7iot dimensions. But 
 length is also a specific quality in the universe, for, although 
 there are other entities like it "to a greater or less degree," 
 there are no others quite like it. Yet it is not a quality that 
 inheres in a substance (the logical priority of space in reference 
 to matter is sufficient to establish this fact). And, finally, its 
 oneness is not violated by the fact that it can be called both 
 length and (as a member of a class) a dimension. 
 
 A specific sensation may, similarly, be regarded (1) as an- 
 other "new" and distinct quality in the universe, — quit«
 
 4,76 REALISM 
 
 analogous to a specific length; (2) it may be one, and yet, as 
 one, be "conditioned" by the serial organization of many ele- 
 ments; thus (3) it may be a dimension, whether its elements 
 are dimensions, or not, but a dimension which in its qualitative 
 specificity is distinct from its elements (even as length is from 
 points) and, (4) finally, it may be a quality that does not inhere 
 in any substance. 
 
 But, if all this is the case, what are those elements out of 
 which such a specific dimension is made? First, in answer to 
 this inquiry, it has been found, that, on pain of repeating the 
 problem as to whether a sensation is a dimension or not, the 
 elements must be different from that wJiole which they 7nake 
 up.^^ But also, as has been found repeatedly, if elements are 
 organized, i.e., are not related addiiively, then a whole may 
 result, with properties very different from its parts or constit- 
 uents. The former demand coincides, therefore, with the latter 
 principle. 
 
 To conform, now, to both this "demand" and this "princi- 
 ple," it may be said, that empirically any number of different 
 kinds of elements (for consciousness) are discoverable — kinds 
 that are different both from specific sensation-quality and from 
 one another — but out of which, as organized elements, a specific 
 sensation, as belonging to the class of awarenesses, may arise. 
 Such different "elements," although all of them are not known 
 with accuracy, are those entities that are studied and inve8ti-\ 
 gated in such sciences as neurology, physiology, physics, and! 
 chemistry.'^ Yet, if not for all sensations, then, at least for 
 
 '"This chapter, iv., v., and vi. 
 
 "'That there is an organization of such non-sensation elements ia not 
 invalidated by the objection that such a statement or position can, in last 
 analysis, only mean that the entities which these sciences " treat of " 
 are themselves sensations (or expressible in terms of sensations), so that, 
 ultimately, what we have is sensations-organized give sensations. For 
 this objection is but a special form of or conclusion from the ego-centric 
 predicament, to the effect (here) (1) that, because such "elements" as 
 atoms, molecules, colloidal solutions, nerve- and " sense-cells," nerves, 
 ether waves, air waves, and the like, are always in relation to some kind 
 of knowing, this knowing can not be eliminated in any way; and (2) that, 
 related terms constitute or affect one another, so that (3) atoms, mole- 
 cules, and the like, are really sense-constituted (mental) entities. Such 
 a conclusion we have already found to be based ( 1 ) on the purely 
 gratuitous postulation of the modification theory of relations, and (2) on 
 the ignoring of a method of virtual elimination of knoioing (of any 
 specific form) from the entity that is known. Therefore we may say, that
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 477 
 
 some specific sensations, e.g., my visual sensation of this specific 
 green (of this leaf) at this minute, these elements and con- 
 ditions can be specified, at the present time, with a fair degree 
 of accuracy. 
 
 But such a specification shows that these elements are organ- 
 ized, and organized serially. Therefore, as is the case with the 
 serial organization of points "into" length, so also if there is 
 a serial organization of ether waves, waves of air, physico- 
 chemical processes both within the organism and without, into 
 one whole, that whole which results is, in the case we are con- 
 sidering, the sensation. 
 
 All the details of such a serial organization are difficult to 
 determine, and are as yet far from being determined. But 
 that the organization is serial is shown by the facts that the 
 mechanical, physical, and physico-chemical "elements," both 
 within and without the organism, that "lie at the basis" of any 
 specific sensation are correlated with (1) the time series, (2) 
 the space series, (3) are themselves a cause and effect series,. 
 and (4) involve any number of specific correlations between j 
 the specific variables (series) that become the special subject- 
 matter of chemistry, physics, and physiology. ' 
 
 What all the elements are, which, as organized serially, give 
 some specific sensation as a unitary entity, is difficult to deter- 
 mine. Indeed, it is hazardous to preclude certain possibilities, 
 for which at the present time there is little empirical evidence. 
 In other words, the conditions for sensation, as well as for other 
 kinds of coasciousness — indeed other kinds than those with 
 which we are now empirically acquainted, — may be much more 
 varied than is at present supposed. 
 
 However, whether this be the case or not, there is one error 
 that is to be guarded against in this field, and that is the error 
 of assuming and dogmatically asserting that the study, investi- 
 gation, description, and statement of the *' conditions," "eZe- 
 ments," organizing relations (and the like) of any specific kind 
 or instance of consciousness, sensory or other, does away with, 
 nullifies, or makes a non-fact of the whole that residts from 
 
 both those entities that are expre&sible in terms of entities that are 
 sensed and also those entities that are not so expressible, e.g., masses, 
 chemical valence, electrolytic conductivity, and the like, are, although 
 related to consciousness, not themselves conscious in character.
 
 478 REALISM 
 
 the organized elements, i.e., the sensation, memory image, ab- 
 stract idea, and the like. That there is such a nullification is at 
 least the tacit, if not, indeed, the dogmatic assumption of the 
 modern school of hehaviorists. 
 
 Such an assumption is, however, as little justified in the 
 case of conscious entities as it is in the case of length, or, indeed, 
 as it is in the ease of organism, cell, molecule, and atom — 
 entities which the "behaviorist" repeatedly "uses" in his de- 
 scriptions and explanations. Were the behaviorist consistent 
 in his position of displacing the whole hy its parts, then should 
 he not stop, or rather hold his science in abeyance, until all 
 has been worked out in terms of some ultimate class of entities 
 of which all else is composed? But the behaviorist is not thus 
 consistent. Eather, he deals with such entities as organisms, 
 organs and stimuli — as wholes, and not as complexes, and, there- 
 fore, not with their constituent parts. Even so, also, is it quite 
 permissible, if not, indeed, in some cases necessary, to deal with 
 those qualitatively distinct entities called sensations, images, 
 ideas, and the like, at their face value. Both procedures are 
 possible in some cases, but in some cases not, as is illustrated 
 by the fact that man's ethical relationships are open to sys- 
 tematic investigation, in the absence, at the present time, of, e.g., 
 any very accurate or certain chemico-physics of his nervous 
 system.^^ 
 
 We conclude, and also now generalize, that, although precise 
 and accurate knowledge is lacking for specific cases, neverthe- 
 less any specific sensation and any specific consciousness is a 
 qualitatively distinct dimension in the universe, and, as such, a 
 unity in its difnensionality, even as is length, although it "re- 
 sults" from the organization of many other qualitatively dis- 
 tinct dimensions. This specific qualitative distinctness is that 
 which is usually characterized as the common attribute of those 
 facts that we call conscious, namely, as awareness. Awareness 
 is, therefore, the common property of that which, hy its presence, 
 is one class of dimensions within the universe. 
 
 What, next, is the relation of this dimension to others? On 
 the one hand, it is, as we have seen, the "result" of the serial 
 
 " Cf. my review of Loeb's " The Mechanistic Conception of Life," in 
 IScience, Vol. XXXVII., p. 333 ff.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 479 
 
 organization of other, specific dimensions. But, on the other 
 hand, it can also, as in other instances, (3) enter as a component 
 dimension into still other w-dimensional manifolds, and (2) be 
 correlated with other dimensions. Thus sensations and other 
 mental processes have duration, both by themselves and also as 
 forming a series in some "life history," and so are correlated 
 with time. In this last respect they are, as themselves dimen- 
 sions, components of "higher" dimensions. But they also, or, 
 rather, specific manifolds of them, form series in respect to in- 
 tensity, cesthetic value, and thus are components of multiply 
 ordered series. 
 
 Ifj^ now, the hypothesis, that particular instances of conscious- 
 ness are qualitatively distinct dimensions within the universe, 
 can thus be worked out in some detail, in a fairly satisfactory 
 manner, the further question now arises, whether this hypothesis 
 is also compatible with other positions that have been advanced 
 in this volume. For example, is our present hypothesis con- 
 sistent with the views (1) that an external relationship is pre- 
 supposed as the condition for there being genuine knowledge; 
 (2) that there are non-existent efficiencies, such as ethical ideals, 
 and (3) that particular conscious entities, such as sensations, 
 images, emotions, and reasoning processes, appear and disappear, 
 come and go ? 
 
 The answer to each of these questions is "yes," Indeed, in 
 a way, each has already received such an answer. Thus we 
 have found that if any kind of a process or event is analyzed, 
 it proves to be serial in character, and in this respect to be a 
 dimension. Motion and qualitative change are excellent exam- 
 ples of this, as we have previously seen.'^^ Then there is no 
 difficulty in identifying a conscious process and a conscious 
 dimension, and of thus conjoining the usual psychological with 
 a philosophical point of view. 
 
 But an answer to the first question is also ready at hand. 
 For it is one of the principles previously developed that a non- 
 additive relation (such as is present in a group of elements 
 organized as a dimension) results in a (synthetic) creation ^* of 
 new properties, which properties are, riot causally, hut function- 
 ally related to, i.e., correlated with, the {properties of the) con- 
 
 •■yn.-ix. of this chapter. "* E.g., this chapter, iv.-vi.
 
 480 REALISM 
 
 stituent parts. Such a relation is, however, external. It is 
 exemplified in the instance of a 2-dimensional spatial manifold 
 (a plane) in its one-one correlation with a 1-dimensional mani- 
 fold (a line),^^ and also in the instance of a red-hot iron whose 
 color, as the iron cools, gradually changes. Such a change of 
 color is, now, a qualitative change. Undoubtedly it is a change 
 that is correlated with motion — i.e., with the motion of the 
 molecules and atoms and, perhaps, electrons that "make up" 
 the iron, as well as with "ether waves" and the like. But, if 
 the principle of creative synthesis is correct, the color is not 
 identical with such motions, nor, if our solution of the problem 
 of illusory objects ^® is correct, is the color subjective, because 
 it is not ide^itical with such motions. 
 
 By this last solution it is, rather, objective, though its locus 
 is not the same as is that of motion, i.e., it is not identical with 
 the "universe of discourse" of motion. Accordingly, the change 
 of color, which change is itself a series or dimension, is an ob- 
 jective series that, while it is correlated Avith another, or a 
 number of other specific series (motions — as well as space), is 
 not identical with these, much less caused by them, and is in 
 this sense external.^'' 
 
 Finally, our second question can be answered affirmatively. 
 For, on the one hand, we have already found evidence for ac- 
 cepting non-existent efficiencies,^^ and, on the other hand, if it 
 is efficiencies of some kind that must be serially organized as 
 the "condition" for the "appearance" of a particular conscious- 
 ness as a dimension, then we now have evidence of the serial 
 organization of non-existent efficiencies in the case of space. 
 For, if space is the condition for all that (physically) exists, it 
 does not itself exist, but only subsists. In a manner, therefore, 
 that is similar to the serial organization of points to form 
 1-dimension, and of a manifold of one-spatial dimensions to form 
 a 2-dimensional manifold, etc., any and all non-existent suh- 
 sistents may be serially organized (as, e.g., are moral values), 
 and thus as efficiencies account for the appearance of conscious- 
 ness, if consciousness is to be accounted for in this way — namely, 
 
 " Cf. Huntington, op. cit., pp. 60-62. 
 
 '" This chapter, i.-iii. 
 
 " Cf. Chaps. 1., 11., 111., and the whole of Section IV. 
 
 *' This chapter, i.-vi.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 481 
 
 upon the basis of some kind of stimulus (efficiency) — with ac- 
 companying response. 
 
 Two or three further points that are involved in this "di- 
 mensional view" of consciousness now remain to be discussed. 
 One of these points concerns the question, whether this view is 
 reconcilable with the hypothesis, which has also been advanced 
 in recent discussions, that consciousness is a relation.^^ 
 
 The reply to this inquiry is, that one can discover certain 
 possibilities of such reconcilement — certain main outlines — even 
 if one cannot work out all the details with precision and ac- 
 curacy, after the manner of certain sciences, e.g., mechanics. 
 One is thus in much the same position as was Galileo when he 
 discovered that, e.g., velocity was a function of time (such a 
 relation being the correlation of two variables) , but was not able 
 to discover all those details which subsequent analysis has found 
 in the functional relation. 
 
 Such a reconcilement is attainable again upon the basis of 
 principles that have been previously developed. Thus it has 
 been found that certain relations as organizing certain com- 
 plexes are the basis on which other relations rest.^° For example, 
 the relation of implication rests, in some instances, on a twofold 
 relation of inclusion between classes, (A <^B, B <. C implies 
 A < C). Also, if two classes are each organized serially, then 
 do the relations which so organize the classes, form the basis for 
 the relation of 1 — 1 ordinal correspondence between the two 
 classes. And, finally, if certain relations organize elements into 
 a unitary whole, as, e.g., asymmetrical and transitive relations 
 organize points into a line, then is there also a relation between 
 the unitary whole and the organized elements. 
 
 The situation is not different in the case of consciousness, if 
 consciousness in any particular instance is a dimension, and thus 
 a unitary whole that results from the serial organization of 
 certain specific ''elements." For under these circumstances 
 there can be a new relation (as we have found that implication 
 is new) that may be called the "conscious relation," and there 
 most certainly is a relation between this new dimension, con- 
 sciousness, on the one hand, and both its "elements" and other 
 "things," on the other hand, Bui whether the consciousness 
 
 •• By, e.g., Woodbridge, loc. cit. •" Chap, XIIL, i.
 
 482 REALISM 
 
 itself can justifiahly be called a relation is questionable, even 
 as would be the case, if a line were called a relation. A line 
 is a relational complex, as well as a line, and it can be a related 
 term in other complexes; but it certainly does not seem to be 
 a relation. Even so, then, with consciousness as a dimension. 
 
 In this respect, therefore, the two recent hypotheses as to the 
 nature of consciousness, the one, that it is a dimension, the 
 other, that it is a relation, seem to be irreconcilable, and, to the 
 writer, the advantage seems to lie with the former hypothesis. 
 This conclusion is strengthened by the fact, also, that those who 
 defend the second hypothesis fail to specify to what type of 
 relations consciousness (as a relation) belongs, — i.e., to specify 
 whether it is, e.g., symmetrical, asymmetrical, transitive, in- 
 transitive, and the like. This failure is, accordingly, rather 
 damaging, in the light of that detailed knowledge of relations 
 which we now have,''^ to the contentions of those who advance 
 this second hypothesis. 
 
 The first hypothesis seems, therefore, to have the advantage. 
 For it is an hypothesis that can be worked out in fairly precise 
 and accurate agreement with the modern theory of dimensions, 
 and comports accurately, also, with the empirical facts, (1) that 
 perhaps all of the different kinds of sensation and of images 
 form series as regards intensity and extensity {e.g., loudness of 
 tones), (2) that among sensations there are, as we have seen, 
 some instances of midtiply ordered series, e.g., tones, (3) that 
 all conscious processes are correlated with the dimension, time, 
 and (4) that in the field of rational processes, there is a con- 
 formity with the system 2.^~ Finally, such an hypothesis 
 conforms to that tendency which is one of the dominant char- 
 acteristics of modern, exact science, namely, the tendency, or 
 the effort finally to formulate laws in the form of equations 
 between variables, of the general form, y = f{x). But a variable 
 is a series, whether it also be continuous, dense, or discontinuous, 
 and it is also a dimension, whether it be linear, or multiple. 
 Therefore, if consciousness is a dimension, it is also a variable, 
 which means that investigation should be directed to ascer- 
 taining what variables are specific functions of it, and of what 
 variables it is a specific function. 
 
 •' Chape. II. and XXVII. " See Chap. 11.
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 483 
 
 Whether, now, philosophical and psychological investigation 
 has as yet been directed, to any great extent, at least, to finding 
 out what the "place" of consciousness as such a variable in the 
 universe is, may well be doubted. And yet, in the absence of 
 the precise results that might be won by such a procedure, the 
 position or hypothesis that consciousness is a dimension, does 
 seem to solve, in a general way, certain problems that other 
 hypotheses fail to solve. 
 
 One such problem is presented by the question, as couched 
 in the naturalistic terms of physics, chemistry, and biology, or 
 in terms, namely, of cause and effect alone, as to how, if any 
 specific consciousness is the final effect within the hody, or within 
 the head, or, even more precisely, ivithin the cortex of the hrain, 
 such a consciousness can ever refer to, or "get out" to, an object 
 that is remote from the cortex either spatially or temporally. 
 Thus, to take an example, if my present sensation of a distant 
 star is only the causal effect in me of a "stream" of light waves 
 that "started from" the star perhaps many hundreds of years 
 ago, then is not that which I sense or perceive the causal effect 
 in me (in my cortex, or brain, or head, or body) and not the 
 star at all? And does not this compel us to accept that which 
 is the essential position or conclusion of Subjectivism, that that 
 which I (directly) know is only my own ideas, as the causal 
 effects, in me, of some kind of external cause (either God, or 
 things-in-themselves, and the like) ? Or, if this conclusion itself 
 in turn gives rise to too many difficulties and problems,^^ then 
 does not the view that consciousness is an end causal-effect 
 force us to conclude that it can "get to" its object only by 
 means of some such medium as potential energy defined as the 
 inverse of the "incoming streams" of kinetic or active energy? ^* 
 
 It is quite clear, then, that if consciousness is regarded as such 
 a causal-effect, such an "end-term," it most certainly does seem 
 to be shut in, so that we have the problem as to how it ever 
 can get out — to have as its "content," e.g., the spatially distant 
 star, or the temporally distant past or future event. However, 
 the very statement of the problem in these (causal) terms readily 
 
 " See Chaps. XXIX.-XXXII. 
 
 '* Montague, in his essay, " Consciousness a Form of Energy," in Essays 
 in Honor of Wm. James.
 
 484 REALISM 
 
 suggests the means of its solution, i.e., it suggests that the way 
 to solve the problem is to take such a view of the nature of 
 consciousness, as does not make of it an end-effect in an incom- 
 ing stream of physical energy. But such a view is the position 
 or hypothesis that consciousness is a "new" dimension and a 
 variable. For, if it is a variable, then, a priori, one must grant 
 that it can enter into the same types of relationship to other 
 variables that these enter into among themselves. And it is 
 the possibility of such relationships that solves the problem above 
 outlined, as well as other problems. 
 
 What, then, are some of these types, or, rather, the principles 
 that are involved in such types of relationships? In answer 
 to this inquiry, one has first to say, that variables are cor- 
 related, either in a one-one, one-many, or many-one manner. 
 But more important is the principle that such correlation allows 
 of the qualitative discontinuity of the correlated variables, as 
 well as of the most radical qualitative differences between them. 
 Thus, e.g., that p = f{t) (pressure a function of temperature) 
 does not imply that pressure and temperature are identical 
 qualitatively; while, if a "proper part" of a line is correlated 
 in a one-one manner with a whole line (in respect, of course, to 
 points) , then the proper part may be very small, and the whole 
 very large; indeed an inch is in such correlation with the dis- 
 tance of a million miles. Further examples of one or the other 
 of these two principles, or of both together, are the correlations 
 (1) between time and space, (2) between the gradual change 
 of color, or of temperature, and the motion of atoms and mole- 
 cules, and (3) between the points of all space (of any number 
 of dimensions) and the points of a line. 
 
 As applied, now, to the hypothesis that consciousness is a 
 dimension and a variable, these principles have an important 
 bearing on the solution of the specific problem just previously 
 considered, as well as other problems. 
 
 For, first, with it granted that the "conditions" for conscious- 
 ness are both spatial and physical, then, if consciousness itself 
 is a new dimension that "arises" through the non-additive 
 organization of such conditions, it follows, that consciousness 
 itself need not be either spatial or physical in order to be cor- 
 related with spatial or physical "things," as well as with those
 
 SOLUTION OF THE COSMOLOGICAL PROBLEM 485 
 
 eutities that are in any way whatsoever qualitatively different 
 from itself, such as those entities that are neither physical nor 
 mental (conscious). 
 
 In this respect, therefore, consciousness is extra-spatial — i.e., 
 non-spatial and extra-physical, and, accordingly, not the kind 
 of entity that can be spatially shut in within body, head, brain, 
 or cortex. Clearly, however, if it is not shut in, there is no 
 problem as to how to get it out — e.g., to the distant star. But, 
 if it is not shut in, if it is non-spatial in character, then it is 
 neither here nor there, and yet, even as time can be correlated 
 with space, without being spatial, so, also, can consciousness be 
 correlated with spatial "things" without being itself spatial. 
 Thus it is that we can understand how, e.g., the distant star or, 
 in fact, any object that is spatially distant from our bodies, 
 should be "content" of our consciousness, without our conscious- 
 ness spatially reaching out to the object that is "content." The 
 consciousness is not "first" in our bodies, brain, or cortex, then 
 to be got to the distant object, but is, rather, a "new" dimension 
 that arises from the very special organization of "elements" 
 of which distant object and body are each members. Yet it must 
 be admitted, if all this account is true, that why it should be 
 some members and not others (of the organized series of ele- 
 ments) that are the specific content of a specific consciousness, 
 is a special problem that is not yet solved. 
 
 However, an account very similar to that just given of the 
 correlation of the variable, consciousness, with physical and 
 spatial entities, can also be given for its correlation with entities 
 that are remote in time, either past or future. For if it is a 
 principle that proper part is in correlation with whole {e.g., 
 an inch with a million miles in respect to points), then a par- 
 ticular consciousness "lasting" but a short time, can be cor- 
 related with a much larger time, and thus reach into both the 
 future and the past, and, accordingly, have as its "content" 
 an object that itself is correlated with a specific part of such 
 past or future time. In some such way as this can the fact 
 be accounted for, that particular complexes that now no longer 
 exist or that do not yet exist, so that they cannot "send" 
 incoming streams of energy to my brain, can nevertheless be 
 "content" of my consciousness.
 
 486 REALISM 
 
 Such an account of the ''ability" of consciousness to "tran- 
 scend" itself temporally and qualitatively is undoubtedly de- 
 ficient in a great many respects. Yet it is an account that 
 seems to the writer to have many advantages over that tradi- 
 tional account which starts with the tacit or explicit assumption, 
 that consciousness is a substance, or an end causal-effect on an 
 ego or spirit that is a sutstance, and which is so productive of 
 false problems and of philosophical culs-de-sac and impasses. 
 But it is also some such an account as must be made, if thd 
 hypothesis that consciousness is a dimension is to be anything 
 more than a purely philosophical speculation. Such an hy- 
 pothesis and such an account seem, however, to lead in the 
 direction of philosophical progress and advance to a much 
 greater extent than does persistent adherence to the traditional 
 point of view in which consciousness is regarded as a substance, 
 or in which it is tacitly assumed that problems are solved if 
 they are ignored. 
 
 CHAPTER XLIV 
 
 EPISTEMOLOGY AND PSYCHOLOGY AS PART OF 
 COSMOLOGY 
 
 It is quite evident that in the foregoing presentation of 
 realistic cosmology we have already entered the domain of those 
 problems that in Section II. of Part I. were called epistemological 
 and psychological. But why should we not do this? Are not 
 knowing and consciousness undeniable facts in some sense? Are 
 they not within the universe, and, indeed, within the cosmos as 
 that universe in which entities are related not only in one, but 
 in many ways, with the same type of entity and of relation 
 recurring, perhaps, many times? Finally, must not all entities 
 be so related to certain other entities of the cosmos-universe as 
 to allow themselves to be known, as unmodified by virtue of 
 being known? For, since in any case it is presupposed tha^ 
 some entities of the universe, be these complex or simple, are
 
 EPISTEMOLOGY AND PSYCHOLOGY 487 
 
 so known, must it not be granted that all entities are, similarly, 
 hnowdble, unless very good grounds to the contrary can be 
 advanced ? Our answer to these inquiries has been given many 
 times and in many places/ but now all our positive solutions 
 to these problems take their place in a realistic cosmology and 
 psychology. 
 
 It is epistemological difficulties and problems that force us to 
 the conclusion that consciousness and awareness cannot be a 
 substance, and must be either a dimension (variable), a relation, 
 a quality, or an event. These entities cannot be a substance, 
 except at the cost of making any genuine knowledge, even of 
 themselves, impossible.^ But at least some such knowledge is 
 presupposed by each and every epistemology ! Accordingly, 
 some alternative hypothesis accounts not only for the situation 
 that is presented by this presupposition, but also for all other 
 cases of genuine knowing or awareness. 
 
 But there is not alone genuine knowing, but also error — of 
 many kinds. And yet, with the substance-view of consciousness 
 invalidated, the possibility of consciousness being a "container" 
 is invalidated, so that error-objects can no longer be regarded 
 as subjective in the sense that they are contained in conscious- 
 ness, but they also must be accepted as objective. The only 
 residual subjective element in error is, therefore, the ** taking" 
 of "something" to be that which it is not. 
 
 If, now, realistic psychology and epistemology must take their 
 place in realistic cosmology, all the positive developments and 
 conclusions, particularly of Chapters XIII., i., XXVII., XL., 
 and XLL, must be accepted as accounts of specific phases or 
 parts of the cosmos, and thus be included realiter in Chapter 
 XLIII.^' 
 
 As a fitting conclusion or complement, therefore, to all these 
 preceding cosmological accounts, and from the point of view 
 that any and all entities are "somewhere" in the cosmos and 
 are objective, we may now attempt a classification of entities 
 
 * See, e.g.. Chap. III., and the criticism of systems opposed to realism. 
 Chaps. XXIX.-XXXVlll. 
 
 ' See Chap. III. 
 
 ' For other features of realistic epistemology, see Chaps. I., II., III., 
 XII., XIV., XXI.-XXV., XXVI., XXVIII., and the criticism in Chaps. 
 XXIX.-XXXVII., XLII., XLV., and XLVI.
 
 488 REALISM 
 
 whereby some of their relations to one another, and their quali- 
 tative divergence from one another, shall be presented. 
 
 Such an attempt is directed to the recognition of certain 
 specific types or kinds of entities, and, therefore, to the occur- 
 rence of certain relations, especially those of similarity and 
 difference among individuals, and of the inclusion or exclusion, 
 complete or partial, of the ''resulting" classes. 
 
 The individuals of a class are either absolutely simple indi- 
 viduals, such as points, or complexes. Complex individuals con- 
 sist, ultimately, of "absolute simples," of which, seemingly,* 
 there are a number of different kinds, but they may also be 
 complexes of complexes. In fact, most of the entities or 
 wholes within the cosmos are of this type. But, in either case, 
 a complex is a whole that is organized by one or more specific 
 relations, some of these relations being independent of and 
 logically prior to others. Thus, among complexes, one can dis- 
 tinguish mere collections, classes, series, "wholes" of correlated 
 series, organic wholes, and the like, and then ascertain that 
 the relations that organize certain of these complexes, as, e.g., 
 similarity organizes a class, are independent of those relations 
 that organize series and organic wholes, as, e.g., an asymmetrical 
 and transitive relation organizes a series. 
 
 The universe, now, is the totality of all entities, whatever 
 these may be, as related merely additively. The cosmos may be 
 defined, accordingly, as this universe of entities as related other 
 than merely additively. Such non-additive relations, which sub- 
 sist "over and above" mere additiveness, are those relations 
 that generate classes, series, and the like. But the universe- 
 cosmos is all-inclusive. There is, then, "place " in it for such 
 entities as (1) a perpetuum mobile, (2) "phlogiston," the 
 hypothetical substance that was held, in the eighteenth century, 
 to be present in all combustible bodies, (3) the snakes of de- 
 lirium tremens, (4) ghosts, (5) centaurs and satyrs, (6) future 
 and past happenings in distinction from present, (7) this table 
 on which I am writing is distinction from (8) table in general, 
 (9) apparently converging rails and bent sticks, (10) the motion 
 and rest of material bodies in distinction from (11) space and 
 time as conditions. The words that have just been used stand 
 
 • Bee Chaps. XXI., XXII., XXIII., XXVI., XLIII., iv., vii., viii., ix., x.
 
 EPISTEMOLOGY AND PSYCHOLOGY 489 
 
 for "things" that are entities in some sense, or that at least 
 cannot be dismissed as mere nothings, without investigation. 
 
 One traditional and short-sighted way of treating this problem 
 of classifying such entities as have just been mentioned, is to 
 make some of them '^unreal." False hypothetical entities, such 
 as "phlogiston," normally and abnormally imagined entities 
 such as centaurs and the snakes of delirium, and even, indeed, 
 future events, are often so classified. But manifestly even "un- 
 real" things are in some sense facts within the universe, so that 
 it is incumbent on a systematic and scientific investigation to 
 determine the character of the "unreal," A second traditional 
 method of classification aims to do this. It places all unreal 
 entities in the subject, or makes them subjective, in opposition 
 to other, real entities, as objective. Even space and time and 
 all relations, as opposed to substance-like terms, have been 
 "given" this subjective locus by certain philosophical systems.^ 
 This solution of the problem has, indeed, become a ready-made 
 answer that is accepted without further reflection by perhaps 
 the majority of philosophically inclined persons. By it, al- 
 though there is much lack of clearness and precision in the 
 matter, the subjective is identified with the mental or psychical, 
 and the objective with the physical, and "the psychical" is then 
 made to contain all "unreal" entities. 
 
 An analysis of this solution shows, however, that it is really 
 derived by assuming the psychical to be a sort of substance, 
 whereby it can be a receptacle or container. This view of con- 
 sciousness is, however, beset with so many difficulties in its im- 
 plications, etc., that it must be given up, and such an hypothesis 
 accepted as makes of consciousness a dimension and allows all 
 entities to be objective in the sense that they are at least not in 
 a "psychical container." 
 
 Proceeding, now, from this point of view, we find that all 
 entities that come within the field of awareness would seem to 
 be similar in the respect, at least, that they are mentionable. 
 "Entity" itself is a means of mentioning them. But not all 
 " mentionables" are entities. That they are not, is shown by 
 one or another of the several empirical tests that are at our 
 disposal. Thus, some "mentionables" are found to be merely 
 " See Chaps. XXIX. and XXX.
 
 490 REALISM 
 
 combinations of words, as, e.g., are "round square" and "black 
 whiteness." Each part of such combination-words may, per- 
 haps, be employed in order to mention entities, but the entities 
 thus indicated, as, e.g., round and square, exclude each other, 
 and subsist at different loci. 
 
 As entities, therefore, we can accept only such as do not 
 involve, if they are complexes, characters that exclude and force 
 one another into different universes of discourse, or such as 
 furnish no occasion for exclusion in that they are absolutely 
 simple. Let us call whatever fulfils these conditions a '^con- 
 sistent." All "consistents," then, are to he accepted as entities, 
 and an entity is to he defined as a "consistent." From this 
 definition it follows, that whatever appears to, or is given as 
 content in, any mode of awareness, be this perception, memoiy, 
 dream, illusion, imagination, reason, or intuition, is therewith 
 a "consistent" and an entity. For the fact of the mere "given- 
 ness" of the co-presence of several characteristics estahlishes 
 their consistency, and, therefore, the "entity-character" of the 
 complex. The question of exclusion does not, of course, arise 
 concerning simple entities, or, if the apparently simple proves 
 to be complex, then its consistency is established with its "given- 
 ness." By this test certain words or symbols are found not to 
 designate entities at all, "round square" being a good example. 
 Individual round things and also roundness are entities, and so 
 are square thiiigs and squareness, but no "round square" is ever 
 given in any experience. 
 
 Among entities, however, empirical methods reveal two classes, 
 namely, those that exist, and those that do not exist. The 
 former are called existents, the latter, non-existent siihsistents, 
 or merely suhsistents. All existents suhsist, hut not all siih- 
 sistents exist. In proceeding here one must rely wholly upon 
 the verdict of empirical methods in science and common sense 
 in which innumerable things, qualities, events, and relations are 
 accepted as existing. From such instances one can derive a 
 partial definition of an existent, namely, that it is an entity that 
 either has heen, is now, or will he "at" or "in" a particular 
 place, at a particular time, or merely at a particular time, if 
 the entity is not spatial, as, e.g., a conscious process is not.* 
 *See Chap. XLIII., xi.
 
 EPISTEMOLOGY AND PSYCHOLOGY 491 
 
 "Occupy" or "correlated with" a particular place and time, 
 or a particular time, alone, are also terms that may here be 
 used instead of "at" and "in." "Particular place" and "par- 
 ticular time," are, however, relative matters. By themselves 
 space and time include individual extensions and durations, even 
 as any one point is that individual point and not another. But 
 aside from this individuality there are no differences among 
 extensions, except those between one-, and two-, and three- 
 dimensional spatial extensions, and, also, durations. Our living, 
 however, is '^earth-centered" and twentieth century pivoted, 
 and in relation to this other spaces and times are particular in 
 the sense in which the term is used above. 
 
 But to be "in" or "at," or "to occupy" a "particular" 
 space and time, both, or only one, is not enough to define or 
 characterize existents. For other entities, such as dream objects, 
 also have this spatial and temporal particularity. Therefore 
 a complex existent must have that full quota of characteristics, 
 or he that full quota, which the sciences of physics, chemistry, 
 biology, psychology, and the like, find it empirically to have. 
 
 Existents, thus defined, are of two kinds, namely, physical and 
 mental. Physical existents are things, forces, energies, qualities 
 such as solidity and elasticity, relations such as cause and effect, 
 and events such as the falling of bodies and the flow of electrical 
 currents. Among such physical entities are both those that are 
 directly perceived and those that are inferred in order causally 
 and functionally to explain those things, forces, etc., that are 
 directly perceived. 
 
 Mental existents are, analogously, to be accepted essentially as 
 they are interpreted by empirical psychology, namely, as proc- 
 cesses or events that occur at a certain specific time. Seemingly 
 they occur at a specific time because that which conditions them 
 (yet does not cause them), namely, a nervous system of a certain 
 degree of organization, and in a certain specific condition, is at 
 that time. In this respect, at least, mental events or processes 
 are temporally "located," and are in a temporal series. How- 
 ever, this does not mean that they themselves are limited tem- 
 porally, as are their conditions. For, similarly, an organism 
 as a whole manifests certain characteristics, such as the power 
 of "selective response," reproduction, and the like, that are
 
 492 REALISM 
 
 conditioned by physical and chemical forces, but that are not 
 characteristic of these conditions. So also are there finite moral 
 beings only if there are biological and physiological beings. 
 Yet the morality subsists only in the field of the relationship 
 of such biological beings to one another, and not in the condi- 
 tions. In general, the examination of *any number of concrete 
 cases shows that the characteristics of the whole may differ 
 radically from those of its conditions and its parts. The non- 
 temporal and non-spatial character of consciousness as such, 
 side by side with the temporal and spatial character of its con- 
 ditions, is hut another instance of this principle. It is, then, 
 by an indirect reference to the conditions that the temporal 
 (and, perhaps, the spatial) location of specific conscious proc- 
 esses is arrived at. It is for these reasons that we shall classify 
 existents as of two kinds, namely, physical and psychical, includ- 
 ing under each of these classes aZ? those suh-classes that are 
 usually so included in the physical sciences and in psychology. 
 
 Empirical methods, experimental, rationalistic and analytical 
 in character, compel us, next, by a process of exclusion, to accept 
 another great class of entities for which the name suhsistent is 
 accepted by a number of investigators.'^ These entities are, 
 on the one hand, experienced, and are found not to be self- 
 contradictory ; i.e., they are "consistents." Yet, on the other 
 hand, they are not existents; for they are found to lack those 
 qualities, or at least that fidl quota of qualities, including tem- 
 poral and spatial localization, which psychology and physics 
 recognize as essential to objects that exist. Therefore they are 
 excluded from being psychological in character (as tradition 
 has so long held them to be), by the hypothesis, now accepted 
 at this point as established, that consciousness is not a substance 
 or "container." Examples of subsistents are the "perpetual 
 motion" machine of pure mechanics, the dreamt "falling from 
 a roof, ' ' the centaurs and satyrs of the Greeks, and the substance, 
 "phlogiston," of the eighteenth century. 
 
 Yet there are differences among subsistents — differences re- 
 vealed by the mode of their discovery, even as is the case with 
 color and sound. Thus some subsistents are discovered by 
 
 '' E.g., by Holt, Marvin, Perry, Pitkin, and Montague in The Neio 
 Realism and other voiumeR.
 
 EPISTEMOLOGY AND PSYCHOLOGY 493 
 
 reason, others by dreaming, still others by "waking" imagina- 
 tion. For example, it is found by reasoning, that the transfer 
 of energy in the physical world would take place "round and 
 round," say, from electric generator back to dynamo and to 
 fly wheel, provided ever-dissipating heat were not produced, 
 and also provided that a "potential fall," analogous to the fall 
 of water through a flume, were not a necessary condition for 
 each and every transfer of energy. Exist entially, however, ever- 
 dissipating heat energy (with equalization of temperature) and 
 "potential gradients" are the facts. Yet "conditions" that are 
 contrary to these facts can be postulated, and reasoned from, 
 and thus an ideal, perpetuum mobile, be deduced. 
 
 Such a subsistent as a "perpetual motion machine" is both 
 spatial and temporal, yet is not correlated with a particular 
 space and time. On the other hand, other subsistents are cor- 
 related, not with any but with a particular space and time, and 
 yet are only subsistents because, e.g., in the case of dream- 
 objects, they lack that fidl quota of attributes which the physical 
 sciences have found to be empirically necessary for the existent 
 objects of each special field of investigation. 
 
 Finally, there are still other subsistents, especially space, 
 time, and number, which, on the one hand, are open to investi- 
 gation by reason, and, on the other hand, are found to be the »« 
 conditions for, in one way or another, those entities that do 
 exist. But, as not being such conditions for themselves, they do 
 not exist, but subsist. 
 
 With this as a preliminary discussion and illustration of dif- 
 ferences that subsist among some of the entities of the universe, 
 that more complete classification which rests upon these and 
 still other differences (and similarities) may now be presented.* 
 
 ' Cf. with the presentation and classification that follows, especially as 
 sympathetic to the doctrine of "subsistents": Plato, Republic, especially 
 Books v., VI., and VII., Thecetetus, Parmemides, Phcvdo, and Cratylus ; 
 A. Meinong, Oegenstandstheorie, 1904, especially the essay by E. Mally, 
 pp. 121-263, tjber die Stcllung der Oegenstandstheorie im System der 
 Wissenschaften, 1907; B. Russell, " Meinong's Theory of Complexes and 
 Assertions," Mind, N. S., XIII., pp. 204 ff., 336 flf., 559 ff.; "On the Rela- 
 tions of Universals and Particulars," Proc. Arist. Soc, Vol. XI., 1911- 
 1912; Problems of Philosophy, pp. 127-157; Principles of Mathematics, 
 p. 449 ff.; R. B. Perry, Present Philosophical Tendencies, Chap. X.; W. H. 
 Sheldon, " The Metaphysical Status of Universals," Phil. Review., Vol. 
 XIV., 1905; R. H. Nunn, Aims and Achievements of Scientific method, 
 p. 4tt.
 
 494 
 
 REALISM 
 
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 3
 
 EPISTEMOLOGY AND PSYCHOLOGY 495 
 
 It is to be remarked in final comment on this classification, 
 that all of the entities included in it — and it is intended that 
 any kind of "mentionables" which can lay claim to belong to 
 the universe as a fact of some kind shall be included — are ob- 
 jective to and independent of the knowing consciousness into 
 whose field, as a specific dimension or variable, they enter. The 
 whole scheme of the classification is one that is in denial of the 
 historic principle, that any entity as known is to some degree 
 dependent on, or modified by, the knowing. This does not 
 deny, however, that that series of relating consciousnesses which 
 is an individual consciousness, or that that series which in history 
 and tradition is the development and organization of many 
 individual consciousnesses together, is not characterized by cer- 
 tain specific attributes of its own. The principle of our classi- 
 fication would demand only that such attributes and such con- 
 sciousnesses are quite objective to the consciousness that knows 
 them. The classification also stands in opposition both to the 
 monistic principle, that an underlying unitary entity can alone 
 mediate the relations between the various kinds of entities of 
 the classification, and to the pragmatic principle, that the sev- 
 eral types of entities are the mere inventions and useful schemes 
 of a stream of human consciousness that has come down through 
 the centuries. 
 
 BIBLIOGRAPHY 
 
 The following is a further general bibliography of modern realism: 
 E. B. Holt, The Freudian Wish, 1916, The Concept of Consciousness, 1914, 
 The New Realism (with others), 1912; VV. T. Marvin, First Book of Meta- 
 physics, 1912; R. B. Perry, Present Philosophical Tendencies, 1911, Moral 
 Economy, 1909, Approach to Philosophy, 1907; B. Russell, Principles of 
 Mathematics, 1903, Philosophical Essays, 1910, Problems of Philosophy, 
 1911, Scientific Method in Philosophy, 1914. Articles: Alexander, " Sensa- 
 tions and Images," Proc. Arist. Soc, Vol. X., 1909-1910; "Program and 
 First Platform of Six Realists," Jour, of Phil., Psych., and Scientific 
 Methods, Vol. VII., 1910, p, 393 flf.; Dewey, "Brief Studio? in Realism," 
 Jour, of Phil., Psych., and Scientific Methods, Vol. VIII., 1911; Dewey and 
 Spaulding, " Discussion," Jour, of Phil., Psych., and Scientific Methods, 
 Vol. VIII., pp. 63 ff., 77 ff., 566 ff., 574 ff.; \V. Fite, "Theories of Inde- 
 pendence," Jour, of Phil., Psych., and Scientific Methods, Vol. X., p. 548 ff.; 
 E. H. Hollands, " The Externality of Relations," Jour, of Phil., Psych., 
 and Scientific Methods, Vol. XL, p. 463 ff.; I. Husik, "Theories of Inde- 
 pendence," Jour, of Phil., Psych., and Scientific Methods, Vol. X., p. 347 ff. ; 
 A. O. Lovejoy, cf. note 3 of previous chapter; W. P. Montague, "The New 
 Realism and the Old," Jour, of Phil., Psych., and Scientific Methods, 
 Vol. IX., p. 39 ff.; and " May a Realist be a Pragmatist?" Jour, of Phil,
 
 496 REALISM 
 
 Psych., and Scientific Methods, Vol. VI., pp. 460 ff. and 485 fT.; G. E. 
 Moore, " The Nature and Reality of Objects of Perception," Proc. Aris. Soc, 
 Vol. VI., 1905-1906; and "The Refutation of Idealism," Mind, N. S., XII., 
 1903, p. 433 ff.; M. T. McClure, A Stvdij of the Realistic Movement in 
 Contemporaneous Philosophy, dissertation, 1912; E. B. McGilvary, "The 
 Relation of Consciousness and Object in Sense Perception," Phil. Review, 
 Vol. XXI., 1912; R. H. Xunn, "Are (Secondary Qualities Independent of 
 Perception?" Proc. Aris. Soc, Vol. X, 1909-1910; R. B. Perry, "Realism 
 as a Polemic and Program of Reform," Jour, of Phil., Psych., and Scien- 
 tific Methods., Vol. VII., pp. 337 ff. and 365 ff.; J. B. Pratt, "Professor 
 Perry's Proofs of Realism," Jonr. of Phil., Psych., and Scientific Methods 
 Vol. IX., pp. 573 ff.; B. Russell, "The Basis of Realism," Jour, of Phil 
 Psych., and Scientific Methods, Vol. VIII., p. 158 ff.; E. G. Spaulding 
 " Postulates of a Self-critical Epistemology," Phil. Review, Vol. XVIII., p 
 615 ff.; N. Kemp Smith, "Subjectivism and Realism in Modern Phi 
 losophy," Phil. Review, Vol. XVII., Stout, " Primary and Secondary Quali- 
 ties," Proc. Aris. Soc, Vol. IV., 1903-1904; R.'S. Woodworth, "The 
 Consciousness of Relations," Essays in Honor of Wm. James, p. 485 flf. 
 
 CHAPTER XLV 
 
 THE REALISTIC DOCTRINE OF VALUES 
 
 As included in the classification just presented, one important 
 group of entities remains to be discussed, namely, the so-called 
 values or ivorths. These must now be considered in order that 
 their character and their relationship to the other entities of 
 the classification may be determined. In other words, their 
 position in a realistic cosmology must be found in order that 
 any claim may be set up that this great and perhaps all- 
 inclusive problem has been examined at all exhaustively. 
 
 Several subordinate problems are very generally recognized 
 as falling under the problem of values.^ For example, What 
 is the value among all values, in other words, the highest value 
 in relation to which all others are but species? Is it The Good, 
 or The Beautiful, or The True? Also, what is the specific rela- 
 tionship of values to other entities that are not values 1 Further, 
 
 ' Cf. Chap, IX. ; also see the report of the discussion on values at the 
 thirteenth meeting of the Am. Phil. Assoc, Jour, of Phil., Psych., and 
 Scientific Methods, Vol. XI., p. 57 ff., by H. C. Brown; see also Perry, 
 " The Delinilion of Value," Jour, of Phil., Psych., and Scientific Methods, 
 Vol. XL, p. 141 ff.
 
 THE REALISTIC DOCTRINE OF VALUES 497 
 
 are values objective, or are they suhjective in the sense that 
 their esse is their percipi or concipi? For example, is beauty in 
 an object dependent on one who perceives, or who thinks an 
 object to be beautiful, or is it not ? 
 
 Not all of these questions, however, will be considered, nor 
 will the question as to whether or not there are values. For, 
 that there are within the universe certain entities which are 
 values or worths, is a position that is widely accepted. Few 
 deny it in theory ; none can deny it in practice. 
 
 We shall grant, therefore, the factuality of values, and pro- 
 ceed to a discussion of a few important problems concerning 
 them, using for our examination such important instances as 
 justice, beauty, obligation, and pleasure. 
 
 We shall first consider certain typical problems that concern 
 the cosmological status of justice. As concerns the legal aspects 
 of this value one need only remind himself that justice is 
 recognized as perhaps the dominant principle in the legal enact- 
 ments of modern nations; while to act justly toward and to 
 think justly of our fellow-men both in those instances that are 
 covered by law and in those that are not, is a widely accepted 
 rule of ethical (correct moral) action. The point to be noted, 
 then, is, that here, as elsewhere, there would seem to be a dis- 
 tinction between the individuals and the state of affairs that 
 holds of them. Thus, in this instance, there are just acts and 
 just persons, and of these, mi that they are similar in respect 
 to being just, justice holds. Indeed, we have here but another 
 instance of an objective concept and of the individuals of which 
 the concept holds, — as, e.g., is the case, also, with humanity and 
 individual human beings. 
 
 One of the important questions that concerns at least certain 
 classes of values, of which justice is typical, may now be raised 
 in specific form. What is the status of that perfect justice which 
 none would be so daring as to claim is realized in any human 
 society or in the life of any one human being, or, indeed, in 
 any single human act, but which nevertheless is thought about, 
 and is considered by at least some philosophers to be implied 
 by imperfectly just acts. In answer to this question one may 
 search for evidence, and inquire, if, e.g., the perfect, the 
 geometrical cizcM^^ceases to be an entity because no physical
 
 '49B REALISM 
 
 otject ever attains its perfection? Indeed, does not the very- 
 imperfection of such physical objects imply tlie perfect, as the 
 limit of the approximations? And would the perfect circle 
 cease to he, if all physical objects were annihilated ? Then does 
 ideal justice, as a standard for men to attain to, if possible, 
 become less of a fact, because society and poor frail human 
 beings and their concrete acts fall short of this ideal? Would 
 it cease to he, should a cataclysm hurtle all human beings forever 
 into non-existence? And ivas it a non-fact in those far reaches 
 of past time when to living nature the glow of dawning hu- 
 manity had not yet come? 
 
 The ansiver to these inquiries is almost as old as man's own 
 philosophizing, and is one that unites modern Realism with 
 ancient Idealism. It is, that ideals are real. Plato was and 
 still remains the great spokesman.^ Eternal are justice and 
 goodness and truth, not because they persist through all time, 
 but because "in a heaven by themselves" Xhey partake neither 
 of the nature of "things" that are in time and space, nor, indeed, 
 of the nature of time and space themselves. Time- and space- 
 conditioned things — "existents" we call them — approximate to 
 the ideal in various degrees, but never attain it. Thus are the 
 leaf, the circle of waves from the pebble, and the wheel that 
 man makes for his use, all after the model of the perfect circle, 
 yet are all lacking its perfection. So also are there just-like 
 men and acts and society, yet do all these fail to attain the ideal. 
 But the ideal remains, — in accordance with the principle, seem- 
 ingly, that the limit is not a member of the series of which it is 
 a limit. 
 
 This was the philosophy of Plato — his Idealism and his 
 Realism, — and, also, is it modern Realism, with its reality of 
 ideals and its ideal reals. Justice, truth, goodness, and beauty 
 are "eternal verities" — entities not subject to the stresses and 
 strains that distort the particular and concrete time- and per- 
 haps also space-conditioned products of natural processes. 
 Indeed, did the act or the person become wholly just, and were 
 there only genuine knowledge and no error, still would these 
 "concretes" and "particulars" be numerically distinct from 
 
 " In, e.g., Plato's Republic, The Thecetetua, Parmenidea, PhcedO) and 
 iJraiylui.
 
 THE REALISTIC DOCTRINE OF VALUES 499 
 
 perfect justice and from complete truth. The perfect circle is 
 independent of and numerically distinct from the particular im- 
 perfect instances in nature, but the independence and the dis- 
 tinctness are between the ideal, or principle, on the one hand, 
 and the particular existents, on the other hand. Did the latter 
 attain to the ideal, then would the independence and distinctness 
 still be a fact. And the case is not different with justice and 
 the just act, and with truth and concrete knowing. 
 
 One question, then, that contributes to the cosmology of 
 values is answered. Among values, as among non- values, there 
 are hoth existents and subsist ents, with the former subject to 
 time and space conditions, and the latter not."^ 
 
 But there is a second important question, the solution to 
 which further extends our cosmology. This may be advan- 
 tageously discussed by considering the nature of beauty in the 
 particular instance of the beauty of color, of light and shade, 
 and of outline, of the sea and islands now before me. Old and 
 traditional, now, is the doctrine, that in the physical world there 
 are ether waves, chemical pigments and substances, reflecting 
 surfaces, lengths, heights, distances, and form, hut that the color 
 of an object is subjective, or that its esse in any particular 
 instance is its percipi, even as in traditional logic and psychology 
 the esse of a universal is held to be its concipi. It is likewise 
 with beauty. For difficult is it, indeed, to find physicist or 
 psychologist who does not insist that beauty in any particular 
 instance is dependent on him who perceives and appreciates, and 
 who does not also interpret this dependence to mean, that the 
 beauty somehow resides in the perceiving and appreciating sub- 
 ject. For does not, e.g., the color, according to the traditional 
 view, there reside? And is not the color identical with one ele- 
 ment m the beauty of the landscape ? 
 
 However, the traditional interpretation confuses two things 
 that are distinct. "To be dependent on" is not "to be identical 
 with." Thus, e.g., physical motion, whether uniform or 
 accelerated, depends on both time and space, yet is not identical 
 with these, but is, rather, a variable that is correlated with both 
 time and space, and that may, therefore, be qualitatively dif- 
 ferent from and so not causally related to these entities.* So, 
 
 ' See Chap. XLIV., u. * See Chap. XLIII.
 
 500 ■ REALISM 
 
 also, is that complex functioning of the human organism which 
 is called its "living" dependent upon many organs, structures, 
 and specific processes, but is not identical with any one of these. 
 In both motion and organism there is organization, by specific 
 relations, of those parts that enter into the whole, while the 
 whole is specifically different, qualitatively, from its parts, and 
 belongs to a different realm of discourse. Thus, e.g., the atom 
 differs from the electrons that compose it, the molecule from 
 its constituent atoms, the cell from its molecules and colloidal 
 particles, and, finally, society from the human individuals that 
 are its units. Indeed, no realm of fact, whether subsistent or 
 existent, is exempt from this principle of creative synthesis, in 
 accordance with which one or more specific organizing relations 
 so relate parts that there are new qualities in the resulting 
 whole, and whole and part belong to specifically different uni- 
 verses of discourse.^ 
 
 The realm of values is no exception to the validity or applica- 
 tion of this principle. The physiological organism, either as a 
 whole, or in respect to certain of its parts, such as eye, optic 
 nerve, and occipital lobe, itself enters as a part into still other 
 "larger" complexes that are wholes because of the presence of 
 one or more organizing relations. And this larger whole, like 
 other wholes, has characteristics that are different from those 
 of its constituent parts. Accordingly, it may well be, that, just 
 as water is composed of hydrogen and oxygen, yet is neither of 
 these by themselves, but only as they are related and organized 
 to form a whole, so also are, e.g., the color and beauty of par- 
 ticular physical objects not identical either with the physio- 
 logical organism or with any part of it, nor with the physical 
 entities themselves, but are properties of that whole which is an 
 organized ivhole of organism and physical entities. 
 
 This means, of course, that color and beauty are dependent 
 in just this specific way on a perceiving and sensitive organism, 
 but it does not mean that they are resident in the organism, or 
 that their esse is their percipi by a substance- and receptacle-like 
 consciousness, as the traditional theory maintains. Indeed, we 
 can go one step further in this argument concerning the typical 
 case of the color and beauty of particular physical objects, and 
 • Cf. Chap. XLIII., v.
 
 THE REALISTIC DOCTRINE OF VALUES 501 
 
 raise the question: Granted our principle of creative synthesis, 
 that wholes have qualities which are different from those of 
 the constituent parts, and granted also the usual physical view, 
 that ether waves and chemical pigments are external to and 
 independent of the sensitive organism, then may not the color 
 and the beauty as such be qualities of the organized whole, ether 
 waves and pigments, and so be quite external to and independent 
 of the organism 1 
 
 This question is difficult to answer with assurance, but an 
 affirmative reply is not weakened by the opposing argument, 
 that to the person who, e.g., is color blind to red and green, 
 these colors, are indistinguishable and lack their specific quali- 
 tative character. For the facts of color vision not only are 
 quite compatible with, but also they tend to confirm, the hypothe- 
 sis just advanced. 
 
 Color blindness is commonly held to be due to the lack of 
 a specific photo-chemical process in the retina. Given the three 
 normal photo-chemical, physiological processes in the retina and 
 the other normal conditions, and there are perceptions of red 
 and green, blue and yellow, black and white, but if one of the 
 first two processes is lacking, there is a specific color-blindness. 
 In both instances, therefore, the color is partially dependent on 
 specific chemical processes in the retina. But, if color is thus 
 conditioned in the eye, may it not also be a fact both outside and 
 independent of the eye and the organism, when conditions similar 
 to those in the eye are given? The camera, placed in the proper 
 position, shows that the convergence of the parallel rails does 
 not have its esse either in the organism or in consciousness. 
 Does not color photography, then, reveal an analogous ohjectivity 
 for color — and for beauty? 
 
 This argument that at least certain values are objective in 
 the sense that they are numerically distinct from and inde- 
 pendent of hoth a perceiving consciousness and a receptive organ- 
 ism is, perhaps, a radical departure from traditional views, and 
 it may frankly be granted to have its weaknesses. But if it is 
 correct, we must conclude, that those elements which are 
 (Esthetic idtimates are, together with the wholes that result from 
 them, quite as objective as are any of the entities in a strictly 
 non-value field. This means that symmetry and proportion,
 
 502 REALISM 
 
 Hogarthian "lines of beauty," color and color combinations, 
 simple ratios among fundamental tones and over-tones and the 
 like, are aesthetic ultimates that are not dependent either upon 
 a changing and developing consciousness, or upon tradition and 
 fashion, although their recognUion may be thus dependent. 
 
 This conclusion receives support from that accumulation of 
 evidence which makes for the correctness of a general realistic 
 position, namely, that position which holds to the objectivity 
 not only of normal and abnormal existent objects, but also of 
 standards and ideals, and, indeed, of all those entities that are 
 discovered by reason. It is a position, however, that is not 
 exclusive of that ''subjectivity" of taste and preference which 
 must be granted in view of the great diversity of tastes, of 
 fashions, of "schools," and of conventions. There is evidence 
 to show that the presence of a sensitive and reacting organism 
 is not necessary to the existence either of aesthetic elements or 
 of aisthetic complexes. But, on the other hand, the organism 
 does enter into the complex whole that exists when an aesthetic 
 object is perceived and appreciated. It is one participant in a 
 complex, even as there are other participants. Vary it, and the 
 resulting properties of the organized complex vary, even as the 
 perceived color varies from the normal in the ease of a color 
 blind eye. 
 
 One cannot deny, therefore, the reality of the appeal of the 
 beauty of an object to that person with whom we do not agree. 
 His organism and his organization may not be wholly like ours. 
 So also may there be sex, national, and racial differences, of 
 which some are induced by the development of a tradition which 
 forms an environment to him who is born in it. Thus may we 
 account for the fact that the Japanese do not approve of Euro- 
 pean drawing and painting, and that most of us have to grow 
 to like the ever new fashions and modes in music, sculpture, 
 painting, decoration, and dress. Or, it may be, that the realm 
 of the objectively pleasing and beautiful contains such a wealth 
 of material, even as does the realm of scientific entities, that 
 only a selective process can be directed toward it, and that the 
 basis for this selection is laid down by education, imitation, 
 and tradition. But in either case, just as there is a range of 
 distribution of physiological organizations, with the most similar
 
 THE REALISTIC DOCTRINE OF VALUES 503 
 
 ones the most frequent, and the deviations rare, so also will 
 there be norms of taste and of appeal, with the deviations ex- 
 ceptional, but no less real and well-grounded than the normal. 
 
 However, it is not our purpose to present an exhaustive dis- 
 cussion of the problem of values. Therefore we shall omit the 
 question as to what the total range of values is, and, also, we 
 need not make any final definition of these entities. Our purpose 
 will be accomplished if we keep to that safe ground where we 
 find certain specific values very generally recognized and ac- 
 cepted. Thus, without raising and endeavoring to answer the 
 question, whether there are values wherever there are desires, 
 or interests, or tendencies, we will next consider the moral situa- 
 tion as we find this among human beings. 
 
 This specific problem is selected because of its bearing on 
 other, perhaps greater problems, solutions to which must be 
 given in order to make our realistic philosophy at all complete. 
 For in this philosophy we must finally consider the great prob- 
 lems of teleology and theology. 
 
 The field of morals is very generally admitted to coincide 
 with that realm in which there are human beings or person- 
 alities as they stand in various relationships not only to one an- 
 other, but also to other living creatures, and even to all nature 
 and to the universe itself. In contrast, space and time, atoms and 
 molecules, cells and organs, and even all living beings other 
 than man, would seem both in their relationships to one another 
 and to man himself to belong to a realm that is distinctly non- 
 moral. Men may recognize that in their relationship to some 
 of these things, notably to "dumb animals," there is a moral 
 situation; but morality does not seem to concern these entities 
 by themselves or in their converse relationships to man. Here 
 there is neither morality nor its opposite. 
 
 The moral situation seems, therefore, to occur only under 
 specific conditions. It is a specifically differentiated universe 
 of discourse, different from other realms, such as the chemical 
 and the physical, but not contradicted by them. What, now, is 
 the ** topography" of this realm, and what are the conditions 
 under which it exists ? 
 
 Certain principles previously ascertained again come to our 
 assistance in answering these inquiries. First, there is the prin-
 
 504. REALISM 
 
 eiple of creative synthesis; parts form wholes which manifest, 
 or are one or more qualities that are different from those of the 
 parts. Secondly, there is the principle of freedom; new qualities 
 are a law unto themselves ; they act in accordance with their 
 own nature and are free to do this, in that they are specifically 
 different from the qualities of the parts. Finally, there is the 
 principle, that one and the same entity can stand in several 
 relations, and that these relations are not constitutive of one 
 another. In other words, an entity can be a term that retains 
 its identity while it is a member of a number of relational com- 
 plexes ; in one relation it may act as a unit and constituent that, 
 together with other units, forms a larger whole, while in other 
 relations it may itself be a resulting whole and a complex. 
 
 The application of these principles to the question under 
 consideration will make these statements clearer, and will con- 
 nect our present discussion with the previous constructive de- 
 velopment of our realistic cosmologJ^ Again it will be shown 
 that ethics is not a phase of biology, even as biology is not mere 
 chemistry and physics, and these are not mere sciences of space 
 and time and number. 
 
 A molecule is a complex of atoms, even as atoms are in turn 
 complexes of electrons ; but a molecule has properties not found 
 among those of the atom, and acts in accordance with these 
 properties, though compatibly, also, with those of its parts ; yet 
 in so acting, it acts as a unit. Thus, to illustrate, molecules of 
 sugar in solution go as wholes, i.e., as units, through certain 
 membranes; but such molecules are related both to their parts 
 and to other molecules ; in the one relationship they are complex 
 wholes, in the other relationship, units — substitutable by other 
 units (molecules) that are non-electrolytic, as the "laws of solu- 
 tions" show; yet together with other molecules of sugar and a 
 solvent, sugar molecules form an aqueous or some other solution ; 
 but the molecules themselves are not a solution, nor do they 
 follow the laws of solutions. An analogous state of affairs holds 
 (1) of the cell in its several relationships to its parts and to 
 other cells; (2) of an organ, like the heart, in its relationships 
 to its parts and to other organs; and finally, (3) of the com- 
 plete and mature organism in its relationships both to its various 
 organs and to other organisms.
 
 THE REALISTIC DOCTRINE OF VALUES 505 
 
 Man, as a human organism, is no exception to these principles. 
 Complex, indeed "infinitely complex" though this organism may- 
 be, nevertheless, in certain relationships, it acts as a unit, and is 
 a constituent of a larger whole. One such whole is society — the 
 society of human individuals — and this whole possesses char- 
 acteristics that the units do not have, morality heing one such 
 characteristic. If this is to say, that there would be no ex- 
 istential moral act or motive or person, were there only one 
 human being in the world, then let this be said. The situation 
 in which morality thus occurs may be and undoubtedly is a 
 very specific situation, but, once it has appeared, then, as pre- 
 senting something new, there is freedom in respect to this very 
 '^newness." However, this is not a freedom of the individual 
 in the sense of his lawlessness, nor in the sense that it goes 
 counter to the laws, physiological, chemical, physical, geo- 
 metrical, and mathematical, of those parts of which he is a 
 resultant whole. It is the freedom, rather, of the whole to act 
 in accordance with the nature of those characteristics which it 
 manifests as a ivliole, which particularize it as a whole, and 
 which distinguish it from its own parts, from other coordinate 
 wholes, and from complexes of which it itself may be a part. 
 The human individual is, now, in quite this sense, free in respect 
 to his peculiar characteristics as a human organism, i.e., he is 
 free in respect to his mode of reaction to his environment, as 
 this is physical, mental, historical, existent, and subsistent. The 
 "taking place" of some of these modes of reaction is conscious- 
 ness. Such modes of reaction do not contradict physical and 
 chemical facts and laws, but are more than these, and in this 
 sense are free. But it is only when the human individual reacts 
 in a very specific way, namely, when the personality of other 
 individuals, and accordingly their desires, motives, rights, and 
 ideals, are in his field of consciousness, and his in theirs, that 
 the moral situation subsists and exists. 
 
 The individual is thus free in his cognitive consciousness, 
 but it is society alone that is free morally in the sense above 
 defined. With but one individual in the world, there would 
 still be the former, but not the latter freedom. But since it is 
 a fact that there are many individuals, there are both kinds of 
 freedom, yet only because, over and above the conditions for
 
 506 REALISM 
 
 the existence of the consciousness, there are also the specijfic con- 
 ditions for the moral situation. 
 
 This situation is, then, a characteristic of that whole, society, 
 which includes, let us say, all human beings, and which may 
 perhaps be so extended as to include other organisms, and even 
 inorganic nature. Its antecedent basis is the cognitive (con- 
 scious) situation, but it itself is not identical with this. For the 
 moral situation arises only when, within this broader relation, 
 a very specific cognitive consciousness appears, namely, that 
 which is the recognition of personality as such. But, with this 
 recognition once present, then, as constituents of this specific 
 consciousness, there arises, further, the cognitive consciousness 
 of respect, of reverence, of rights, and of ''ought." This, there- 
 fore, is the moral consciousness, — of society — conditioned by the 
 existence of society, self -legislating and thus free, non-existent 
 in an individual by himself, but binding upon him as a member 
 of the complex, and, once arisen, forming part of his own 
 cognitively conscious field. 
 
 With this state of affairs holding of moral phenomena and 
 their antecedents, and with analogous situations occurring else- 
 where, there is now revealed both the necessity of an inductive 
 procedure in studying each higher level of realities, and the 
 impossibility of reducing the higher to the lower, as well as of 
 deducing the former from the latter. Empirical entrance must 
 be made at each level to discover its characteristics. But, once 
 discovered and analyzed, the characteristics of any level can in 
 many instances be correlated functionally, though not causally, 
 with those of lower levels, and in every instance the compatibility 
 of higher with lower levels must exist or subsist. For, although 
 different, still, distinct levels are consistent, belonging to different 
 universes of discourse, and existing or subsisting side by side. 
 Accordingly both the moral and the cognitive consciousness are 
 facts side by side with the facts of biology, but the laws of the 
 latter are not those of the former. Thereby, however, the prac- 
 tical necessity of discovering and analyzing the principles of 
 morals on their own basis and level, and the impossibility of 
 deriving these from and reducing these to the laws of biology, 
 chemistry, physics, and mechanics, is shown to be due, not to our 
 ignorance, but to the very structure of reality itself. It is in
 
 REALISM'S TELEOLOGY AND THEOLOGY 507 
 
 this way, then, that our philosophy of moral values takes its 
 place in the larger whole of our realistic cosmology.^ 
 
 CHAPTER XLVI 
 
 REALISM'S TELEOLOGY AND THEOLOGY 
 
 In our preceding discussion the conclusions have been reached 
 (1) that values both exist and subsist, as illustrated respectively 
 by just acts and by justice; (2) that values are real parts of 
 the objective world, external to and independent of not only 
 their being perceived, conceived, and appreciated, but also of 
 the physiological organism; and (3) that certain values, such 
 as morality, subsist and exist only in certain situations, as char- 
 acteristics of wholes that are complex in respect to their parts, 
 but unitary in respect to other relationships. Our position here, 
 as elsewhere, is, therefore, one that stands in radical opposition 
 to that relativism and evolutionism which receives the name of 
 Pragmatism, and yet it is one that denies, not the fact of change 
 
 " The theory of aesthetic and moral values just presented is one that 
 departs widely from the positions that are taken by most writers. A 
 brief general bibliography is herewith given, but without reference either 
 to the agreement or the disagreement with the views above presented. 
 
 For aesthetic values: Aristotle, Poetics; I. Babbitt, The New Laokoon, 
 1910; B. Croce, Esthetic as Science of Expression, trans, by Ainslie, 1909; 
 Gross, Einleitung in die Aesthetik ; Guyau, Les Problems de EstMtique ; 
 Him, The Origins of Art ; Kant, Critique of Judgment ; Lessing, Laokoon; 
 Lipps, Spatial ^Esthetics and Optical Illusions; Vernon Lee and C. Thomp- 
 son, Beauty and Ugliness; H. R. Marshall, JEsthetic Principles, 1901, also 
 Pain, Pleasure, and /Esthetics; E. D. Puffer, Psychology of Beauty; 
 Santayana, The Sense of Beauty; Tolstoi, What is Art? VVoodberry, The 
 Heart of Man. 
 
 For ethical values: Am. Phil. Assoc, discussion at thirteenth annual 
 meeting, Phil. Review, Vol. XXIII., No. 2; F. Brentano, The Origin of 
 the Knowledge of Right and Wrong, trans, by Hague, 1902; Dewey and 
 Tufts, Ethics, 1908; Green, Prolegomena to Ethics; Hoffding, Philosophy 
 of Religion, Kant, Critique of Practical Reason and Metaphysics of Morals; 
 Martineau, Types of Ethical Theory; G. E Moore, The Field of Ethics; 
 Paulsen, System of Ethics, trans, by Thilly; R. B. Perry, The Moral 
 Economy and Present Philosophical Tendencies, Chap. XIV.; Rashdall, The 
 Theory of Good and Evil, 2 vols., 1907; Sidgwick, Methods of Ethics; 
 Spenser, Principles of Ethics,
 
 508 REALISM 
 
 and evolution, but only their universality. For there is un- 
 deniably an existential evolutionary process, and in this process 
 just aots, motives, and persons appear and disappear, as do also 
 beautiful "things" and qualities. But justice and beauty and 
 truth themselves do not change, but remain eternal, quite outside 
 of time and space. 
 
 There is, then, a realm of values that is not subject to the 
 stresses and strains of this slowly evolving earth and this starry 
 universe. And such a realm is itself organized, i.e., values stand 
 in definite relations to one another. They may perhaps be well 
 described as subsisting in various dimensions, for, on the one 
 hand, they are not reducible to one another, and, on the other 
 hand, each would seem to subsist in various degrees. This is 
 indicated, perhaps, by the fact that in our ordinary discourse 
 we compare, e.g., any three things of which beauty can be predi- 
 cated as beautiful, more heautiful, and most heautifid; three 
 modes of conduct as just, more just, and most just. This means 
 that, in relation to any two ''things," A and B, that are beautiful 
 or just, there is another, C, between them, which is of such a 
 character that the three subsist in the order A, C, B ; then, also, 
 between A and C there is another degree, D, as there is also 
 between C and B, and so on. One will readily recognize that 
 we have here that which fulfils the logical requirements of a 
 dimension that is at least a dense or compact series ; ^ for the 
 relation of "less beautiful than" or "less just than" is asym- 
 metrical and transitive. 
 
 The realm of values may, perhaps, be organized also in other 
 ways, as, e.g., by relations of similarity and difference, which 
 generate classes in the well known order of genus and species. 
 But it is not our purpose to become involved in the perplexing 
 intricacies of the question as to what such a classification or 
 classifications may be, since such a problem may better be left 
 to a detailed treatise on values.- Our purpose is, rather, at this 
 point to consider existential values, and to inquire if there is 
 anything contained in them or in the situations in which they 
 occur that throws light upon the teleological problem.^ 
 
 ' Cf. Chap. XLIII., vir., viii., ix.; also A. P. Brogan in Proceedings of 
 Am. Phil. Assoc, Phil. Revieu\ Vol. XXIV., No. 2. 
 ' 8ee bibliography at end of preceding chapter. 
 • See Chap. VII.
 
 REALISM'S TELEOLOGY AND THEOLOGY 509 
 
 Such an inquiry leads at least to results that are positive, 
 and to a fairly precise specification of the sense in which there 
 is teleology in the existential process of the universe. For, that 
 it is a process in which stars and planets, earth crust and earth 
 depths, rocks and rills, plants and animals, nay even elements 
 and atoms participate, is a fact of general scientific acceptance, 
 albeit science also shows quite as decisively that there are cer- 
 tain 'things" which are not processes, and do not evolve. Space 
 and time, numbers, logical principles, and even the principles of 
 change themselves are examples of such exceptions. Further, 
 it is good realistic philosophy to accept this scientific position 
 without its further transformation,* although this does not mean 
 that the implications of scientific results are not, if possible, to 
 be discovered, and that, in many instances, to do this is the 
 special task of the philosopher. 
 
 If, now, process is change, then, whether it is evolution or 
 not (for evolution 7nay imply progress toward a goal), it is at 
 least direction in the logical sense of this term.^ For change, 
 whether it be change of position (motion) or of quality, and 
 whether it be continuous, dense, or discontinuous, both presup- 
 poses and is correlated with time. But time is a series of 
 instants related asymmetrically and transitively, and in this 
 sense has, or is direction. Whether, now, the "world 
 process" be motion or qualitative change, or hoth, and, 
 also, whether it be one or many processes, it has direction 
 because of its correlation with time. In other words, the 
 process "goes" one way, and one way only, and is, in this sense, 
 irreversible. 
 
 However, not only has the world process direction in this 
 sense, but there is also empirical evidence to show that the 
 physical universe has or is direction in still another manner. 
 There is evidence that the physical universe is ' ' running down. ' ' 
 Seemingly its end (do we here get teleology if reAo? means 
 end?) is to become wholly "run down," and then, no more 
 process! The empirical facts in this connection are frequently 
 referred to in philosophical writings these days, and are used 
 to support all sorts of conclusions, which oftentimes they 
 
 * See Chaps. IV. and XXVIII. 
 
 * Cf. Chaps. XL, and XLIIL, vii.-ix.
 
 510 REALISM 
 
 do not really support.^ Here these facts need only brief 
 mention.^ 
 
 The greater number of physical processes or energy trans- 
 formations throughout the whole universe are exothermic, i.e., 
 they give off heat. Scientifically this means that, side by side 
 with other energy transformations, as, e.g., that of kinetic energy 
 into electrical energy, there is always a transformation into heat 
 energy. But heat energy, like other energy forms, is the product 
 of two factors, namely, an extensity and an intensity or po- 
 tential. In the case of heat energy these factors are, respectively, 
 specific heat and temperature, while in electricity they are those 
 factors that are measured in coulombs and volts respectively, 
 and in a gas or vapor, e.g., steam, they are volume and pressure. 
 The latter case is illuminative of the principles which we wish 
 to make clear. 
 
 The piston-head in the cylinder of a steam engine is forced 
 back and forth only on condition that there is a difference of 
 potential, i.e., of pressure on its two sides, and such pressure 
 varies directly with variations in the temperature, provided the 
 volume is constant. The pressure is a function of the tempera- ; 
 ture. From this and similar instances, of which there are many, 1 
 the generalization is made, as identical in part with "the seconid, 
 law" of energy (the first law being that of conservation), th^tj 
 the condition for the occurrence of an event is a differeiice 6f\ 
 potential that is uncompensated by "anything" else. Were! 
 there not such uncompensated potential differences, then nothing] 
 could occur.'* There would be no events, no processes at all, but 
 everything would be at a standstill — at least everything in the 
 physical universe. 
 
 But it is to just such a standstill that our physical universe is 
 tending. For all other energy transformations are accom- 
 panied by the production of heat, and heat is an energy that 
 cannot be confined within limits; it spreads out, and, as it does 
 this, tends to become of a uniform temperature or potential, 
 which is the very condition that is inhibitive of process and 
 event. 
 
 * For example, Bergson's use of these facts in Creative Evolution. 
 '' The best general presentation of those matters is by Soddy, Matter 
 and Energy, in The Home University Library yeriea. 
 ' iSee Helm, Die Energetik.
 
 REALISM'S TELEOLOGY AND THEOLOGY 511' 
 
 The crucial fact here is the impossibility of confining the heat. 
 In order to confine heat perfect non-conductors would be neces- 
 sary, but these are not to be found. Were they accessible, then 
 a means of control, a means of coordinating the heat extensities 
 and the temperatures, and so of directing the heat energy, would 
 be available. Indeed, if a similar control of other energies were 
 also at hand, then would the construction of a perpetual motion 
 machine be quite possible. However, as "things" actually 
 stand, no such means of control are at our disposal, and the 
 unavailability of the greater part of all energy is accepted as 
 a firmly established conclusion in the physical sciences. Taken 
 together with the correlation of all change with time, this great 
 empirical fact of the "running down of the physical universe" 
 is empirical evidence that it has direction^ although such a con- 
 elusion is weakened by recent discoveries of radio-active sub- 
 stances, and, perhaps also, by the "theory of relativity." 
 
 Shall we, now, identify this empirically established direction 
 with teleology ? If we do, we should remind ourselves, however, 
 that such direction of itself implies no growth in complexity, 
 no higher organisms developing out of lower ones, 7io purpose 
 in any usual sense of this term, 7io advance and no progress in 
 that sense in which we like to think these, but only a mere 
 asymmetry and "transitivity" of change, a swing ever forward 
 and never backward, an ever continued expenditure with no 
 recovery." Indeed, even if we endeavor to interpret this direc- 
 tional phase of change by the concepts, "means" and "end," 
 we get but a paraphrase of our original facts, and are no better 
 satisfied than before. For both means and end are then but 
 members of a series, with the means as earlier asymmetrically 
 related to the end as later. 
 
 We must conclude, therefore, that the identification of the 
 teleology of the existential process with its temporal direction 
 and its "running down" is not a very satisfactory solution of 
 the teleological problem. Better perhaps deny teleology alto- 
 gether, than take the heart out of it by an explanation which 
 shows that, even if we identify evolution with such phases of 
 change, there is naught of advance, of progress, of betterment, 
 in any appealing human sense. 
 
 " Cf. Bergson's conclusions, quite opposed to this, in Creative Evolution.
 
 512 REALISM 
 
 Fortunately, however, empirical facts forbid our making any- 
 such identification, or, better, limitation. The physical world- 
 process is direction in the sense just presented, though its cor- 
 relation with time is a more firmly established fact than is its 
 "running down." But the world-process is also more than 
 direction in either of these two senses. For if we identify change 
 with evolution we can show empirically that all evolution is 
 marked by the produciion of something new?'^ New wholes, 
 and, among these, values arise that did not exist before ; progress 
 and betterment take place in just this sense. 
 
 So far as logic is concerned, change might be limited to mo- 
 tion, and then there might be no qualitative advance, no appear- 
 ance of values, and certainly no increase in values. But it is 
 an empirical fact, that within the universe there are qualities 
 and qualitative changes. These changes are, frequently, at 
 least, in correlation with motion, as they are invariably, also, 
 with time, and perhaps, also, with space ; hut they are not 
 identical with motion, any more than is that change of motion's 
 velocity which is acceleration. There are also entities in the 
 universe that are not change, and that are qualitatively different 
 from one another. Numbers, cpace and time, and other sub- 
 sistents, as, e.g., subsistent values, are among such entities. The 
 physical universe would also seem to contain entities that do 
 not change or evolve. Thus at the present time electrons are 
 regarded as playing this role. But, also, as we have seen, there 
 are organizing relations of various type- and in innumerable 
 specific instances. Accordingly there is an existential creative 
 synthesis that is also a temporal process in which there arise 
 new wholes with new properties. These properties undeniably 
 have their place in the evolutionary scheme of things. 
 
 The general principles that hold for such a creative process 
 need not be restated ; ^^ it suffices at this point to dwell only 
 upon the empirical data at our disposal. Thus, when, in the 
 biological field, we take the evidence at hand and look backward, 
 we are convinced that those phenomena and qualities which 
 are presented by, e.g., the protozoa, as the lowest forms of life, 
 were lacking in those inorganic chemico-physical complexes that 
 existed before life arose. Similarly these protozoa as the 
 "See Chap. XLIII., iv.-\x ''Chap. XLllL, ibid.
 
 REALISM'S TELEOLOGY AND THEOLOGY 513 
 
 progenitors of multicellular organisms do not present all those 
 characteristics, such as specific modes of reaction, of sensitivity, 
 of conduction of stimuli, of sex-reproduction, which these higher 
 organisms plainly manifest. Also, as we review the evolution 
 of civilized man, we find that, while our savage ancestors may 
 have evinced, e.g., the altruistic instincts of kindness toward 
 and of sacrifice for the young, and perhaps for still other mem- 
 bers of the tribe, they nevertheless did not manifest that 
 peculiar state of affairs which is the moral consciousness of 
 civilized man. Indeed, if one dispute this, and maintain that 
 there was a moral consciousness among early savage peoples, 
 with a development only in degree and not in kind, from them 
 to us, then our point can he made by going still further back, 
 say, to the period of the ape-like ancestors of man, or even to 
 our invertebrate progenitors. Somewhere a point is reached 
 on one side of which the moral situation is lacking, and on the 
 other is present. 
 
 The principle is not different for every quality, characteristic, 
 and situation (and situations are complex entities with definite 
 characteristics) that has appeared in the whole evolutionary 
 process, with the result, that, if this principle is not accepted, it 
 is at the cost of denying all discontinuous appearances and neiv 
 ^'things," and therefore of maintaining that all is one and 
 continuous, with differences only of degree, which, if not ap- 
 parent, are at least potential. Glorious name, indeed, is this to 
 conjure with, and to pretend to knowledge where we are 
 ignorant ! But inglorious means is it for denying the facts of 
 experience, and the wonderful diversity of the qualitative riches 
 of this universe. 
 
 For realism, however, all characteristics, all objects, all situa- 
 tions and their qualities, even those that are called illusory and 
 hallucinatory, are real in some sense, for, clearly, within the 
 universe they must all have their place.^' Then even more 
 clearly and more strongly, perhaps, do the qualities and situa- 
 tions and complexes that appear in the great evolutionary proc- 
 ess of life appeal to our acceptance. Innumerable such entities 
 there are, that at one time are lacking, but that at another time 
 are present, having somehow and somewhere sprung into exist- 
 
 " Chap. XLHI,, Hid.
 
 514 REALISM 
 
 enee when tefore they did not exist. Yet they all had their 
 antecedents. For that interpretation of evolution which we are 
 presenting does not in the least deny agency or power, or 
 efficiency, but, on the contrary, emphasizes these entities.^^ Yet 
 it does deny the non-creativeness of that great process, and 
 therefore also the perfect continuity of its career and the eternal 
 oldness and sameness of all that exists. And, accordingly, it 
 denies that evolution is mere direction and correlation either 
 with an asymmetrical time series, or with a ''running down," 
 or with both. 
 
 Evolution is creative. Direct empirical evidence compels U3 
 to admit that there is a newness, a creation, an ascent in situa- 
 tions, in complex states of affairs. And some of these situations 
 present, as their characteristics, entities that are values. Human 
 history, if one carefully surveys its long succession of chapters, 
 but especially if one compares it with the chapters of organic 
 life that antedated the human, is quite sufficient to convince 
 one of this. 
 
 The moral situation has been selected for such considerations 
 both because it is typical and because it is important. But a 
 detailed examination of the data at hand shows that there are 
 also many other values that, although now existent, have not 
 always existed. 
 
 Here as elsewhere in the evolutionary process, with its ever- 
 appearing new characteristics and qualities, we cannot, there- 
 fore, but conclude that there is an efficient agent or power to 
 produce all values. In other words, there is a power that 
 "makes for" values, that leads to them, or that produces them.^* 
 Just which of these terms is best, must be decided by analysis. 
 But the fundamental fact remains, since there are values, and 
 these values are produced in the general evolutionary process, 
 that that which produces or leads to them must for that very 
 reason, if for no other, itself he a value. 
 
 This conclusion, however, brings a new solution to the teleo- 
 logical problem, and leads us to the very verge of the theological 
 problem,^^ if, indeed, we are not already in its midst. For, of 
 
 " See Chap. XLIII., ii. 
 
 *♦ Cf. Holl'ding, Philosophy of Religion, for a similar position. 
 
 " Chap. VIII.
 
 REALISM'S TELEOLOGY AND THEOLOGY 515 
 
 all that we might seem justified to call "ends," it is values, 
 especially moral values, that would seem to make the strongest 
 claim to be so designated. And if a process might seem to 
 deserve the term teleologieal, for any other reason than that it 
 is direction, it is because of its creative and accumulative power 
 to produce that which conforms in some degree at least to the 
 standards of truth, goodness, and beauty. The several facts, 
 (1) that concrete situations among human beings take on some 
 of these value characters in greater or less degree, (2) that, 
 as they do this, the realm of perfect goodness, beauty, and truth 
 seem to be ever more nearly approached, and, finally, (3) that 
 there is such an evolutionary process of advance and progress 
 as to bring about this approach, are together identical with the 
 teleological character of our universe. 
 
 Whether, now, this teleology be interpreted as "immanent" 
 or as "transcendent" is, perhaps, a relatively unimportant 
 question.^^ The former view has, under the influence of Ob- 
 jective Idealism, become the fashion in most modern philo- 
 sophical writing, although in traditional philosophy it has been 
 a transcendent teleology that has been more frequently accepted. 
 Such a teleology has usually been identified with some such 
 position as that the existential universe is a mechanism which, 
 in the hands of an external Agent or Purposer, is the means for 
 the accomplishment of His ends. Clearly this position is based 
 on an analogy ^^ with the construction of instruments by human 
 beings, while the "end" that is "aimed at" is interpreted in 
 Strictly human, yet more or less vague terms — usually the 
 former. 
 
 In contrast to this, the position that has just been previously 
 presented is identical with, in its own specific way, both a 
 transcendent and an immanent teleology. It is an immanent 
 teleology, since, as regards that great creative evolutionary 
 process, there is no existential agent that is external to it as a 
 whole. Its earlier phases are external to its later, and various 
 phases are discontinuous with one another, as they must be in 
 order to have the process genuinely creative, but they are all 
 phases of one total process. 
 
 But it is also a transcendent teleology. Justice, as we have 
 
 " See Chap. VIII. '' See Chap. XX.
 
 516 REALISM 
 
 found, subsists independently of just acts, just motives, and 
 just persons.^** This does not deny, however, the relatedness 
 of justice to these existents, but offers only another instance 
 of the independence, accompanying relatedness, of all subsistents 
 on existents. Existents, however, are always those particular 
 instances which, under temporal and spatial conditions, the great 
 existential evolutionary process creates. They therefore involve 
 the characteristics that the specific subsistent processes, plus 
 something more, even as the uniform acceleration of a par- 
 ticular moving particle (assuming that uniform means con- 
 tinuous) involves the order of the number continuum and some- 
 thing more,^^ and, also, the motion of the existent particle some- 
 thing more than mere continuity, mere space and time, or all 
 of these together. In a similar way, space and time are some- 
 thing more than number, although they are each an instance of 
 the same "order system." 
 
 In all these instances, now, the "higher" or more fundamental 
 may be said to be both immanent in, and also transcendent to 
 the "lower" "level." And the case is not different with justice 
 and other values, ethical, aesthetic, and cognitive. These are all 
 both transcendent to and immanent in their particular existential 
 instances. Accordingly, an evolutionary process that creates 
 these instances presents an immanent teleology, while that uni- 
 verse which is iiiclusive not only of this process, hut also of the 
 realm of subsistents presents a transcendent teleology. 
 
 But a further question now arises. Are the subsistent values 
 by themselves, in their relations to one another, and in respect 
 to the realm which they constitute, to be denied agency or 
 efficiency? We must answer "no." The existential process is 
 undeniably an efficient one, for it is one that "produces," 
 "causes," and "brings about." But to limit efficiency to ex- 
 istential processes, even though one does keep causation and per- 
 haps "production'' within this field, is quite unjustified. For 
 subsistent entities are such that they make a difference to the 
 other entities of the universe, even though they have no causal 
 effect. Thus, e.g., the number continuum, space and time, con- 
 dition other entities, both simple and complex, and in this sense 
 are active. So also is the entire realm of subsistent values an 
 
 " See the preceding chapter. " Chap. XLHI., vn.-x.
 
 REALISM'S TELEOLOGY AND THEOLOGY 517 
 
 efficient one, — an effieieney which would seem to be confirmed 
 by the fact that human beings are actuated by ideals that have 
 never yet received concrete existential form. For who would 
 be so rash as to maintain, e.g., that any society of men has 
 ever yet attained the ideal of an organization in which perfect 
 justice is rendered to all? Yet who among thinking men denies 
 that this ideal is something to struggle and to strive for? And 
 upon whom does the efficiency of this ideal not fall with com- 
 pelling force? 
 
 The realistic solution of the theological problem can now be 
 stated. Negatively, this solution rejects the pragmatic view, that 
 "God" is but a successful and satisfactory "working scheme," 
 a racially subjective concept become traditional and so almost 
 immediate to our consciousness, and yet one that is, after all, 
 only invented as an adaptation to a chaotic environment.^" Re- 
 jected also are the phenomenalistic view, that God is an object 
 of faith, but not of cognition, and the objective idealistic view, 
 that God is a psychical being of the nature of will or of intellect, 
 an absolute ego, etc., who is relater of all entities, and so the 
 fundamental underlying reality of the universe.'^ Rejected 
 are perhaps other views, also. On the other hand, positively, 
 for realism, God is the totality of values, both existent and sub- 
 sistent, and of those agencies and efficiencies with which these 
 values are identical. He is also at once the multiplicity of these 
 entities and the unity of their organization in that they are 
 related. This means that God is justice and truth and beauty, 
 both as these are "above" our world and as they are in it, and 
 that He is thus both transcendent and immanent. Accordingly, 
 if God is personality. He is also more than personality even as 
 the moral situation among men is more than personality. He 
 is love and affection and goodness, respect and reverence, as 
 these exist among and in men, but He is these also as they sub- 
 sist by themselves, and act efficiently upon men. In brief, God 
 is Value, the active, "living" principle of the conservation of 
 values and of their efficiency. 
 
 Yet God is not all. There are values, but not all is value. 
 
 ='" See Chaps. IX., X., XIII., ii.. XXXIII 
 
 ^' See Chaps. XXIX., and XXXIV.-XXXVIII.
 
 518 REALISM 
 
 For there are also '^ non-value" entities. But, also, if the uni- 
 verse is that totality of all entities which are facts in some 
 sense, there is not only the realm of non-values, such as numbers, 
 space and time, electrons, atoms, masses, molecules, and the like, 
 but there is also the realm of falsity and error, and, especially, 
 of evil and ugliness, that is directly opposed to the true, the 
 good, and the beautiful. This problem of evil is not an easy 
 one, and hardly any solution of it will meet with wide accept- 
 ance. Only a brief analysis of it can be made at this juncture. 
 
 Philosophical literature is full of endeavors to argue evil out 
 of existence, — indeed, out of reality, and it is primarily upon the 
 basis of the positive evidence by which these arguments can be 
 shown to fail, that our own positive conclusion is established. 
 
 One such argument leads to that monistic and idealistic con- 
 clusion in which all ^'things" are "made" the manifestations 
 and mere appearances of one great underlying entity that is 
 usually interpreted as spiritual in character.^- According to 
 this position all appearances occur as differentiated into pairs 
 of terms that are relative and not merely related to each other.^^ 
 Cause and effect, subject and predicate, up and down, good and 
 evil, are examples. The logical outcome of this position is that 
 all of these differences disappear in the Absolute One that under- 
 lies them ; yet the inconsistent reservation is usually made, that 
 in the instance of good and evil the latter alone loses its identity. 
 Thus it is that the urgent attempt is made to argue evil out 
 of existence, and out of reality. However, systems of this type 
 have been previously found "* to fail in many respects, so that 
 we omit the further examination of their endeavor to solve the 
 problem of evil. 
 
 Another argument concerning evil claims, however, more seri- 
 ous attention, namely, that argument which is based on the 
 general doctrine of evolution, and which accordingly claims that 
 anything which is a "means to an end" that is itself good, or, 
 indeed, that anything which is even only an incident in the pro- 
 duction of good, is a fortiori itself a good. This premise is then 
 used to demonstrate that everything, e.g., poverty, is either such 
 
 '"" See Chaps. XXXIV.-XXXVIII. 
 
 " See Chap. XXXV. 
 
 *« Chaps. XXXIV.-XXXVJIJ,
 
 REALISM'S TELEOLOGY AND THEOLOGY 519 
 
 a mediate or such a final good. For, it is argued, that, e.g., 
 poverty is merely an incident in that universal struggle for 
 existence which is part of the mechanisyn for producing the fittest 
 dnd the best among human beings. Or, to take another example, 
 that of ugliness, this is transformed, if not into beauty, at least 
 into a good and a value. For, it is asked, Is not ugliness a 
 means in that it not only implies and furnishes a contrast with 
 its opposite, beauty, but also causes us to appreciate the latter? 
 And then, finally, there is injustice. Superb role it is held to 
 play — namely, not only that of making its opposite, justice, 
 logically possible, as "up" makes "down," but also that of 
 being in its practice the royal road to its own gradual elimina- 
 tion and the coming of the opposite ideal, justice. If this argu- 
 ment holds for such typical cases, it holds also for other instances, 
 with the result that there is nothing "under the sun" that is 
 not at least a good as a means to some final end which is itself 
 either good, or true, or beautiful. 
 
 The ways by which this argument can be refuted are found 
 both in its own inherent weaknesses, and in directly controvert- 
 ing facts. The weakness of the argument lies in its generaliza- 
 tion, that, even though ive cannot understand how specific 
 instances of seeming evils are really goods, nevertheless we 
 must grant that they are, and act accordingly. Appeal is thus 
 made to our ignora^ice, and we are asked to convert the proposi- 
 tion, that we do not know this or that to be evil, into the 
 proposition, that we know it not to be an evil. But, clearly, if 
 we are ignorant, then the evidence is neither pro nor con, and 
 the position, that there are some irreducible evils, is quite ag 
 justified as is the opposed more optimistic generalization. 
 
 However, it is to the acceptance, not of the mere seemingness 
 of evil and ugliness, but of their actuality, that the great ma- 
 jority of good men direct their practical activities for human 
 betterment. Indeed, if the fighting of evil were good merely 
 because of the fight, and not because of the evil, then would the 
 fight be self-defeating. Practically and actually, however, men 
 fight evil, not for the sake of the fight, but because evil is evil, 
 and because they wish to eliminate it and replace it with good. 
 Not the fight, therefore, nor the evil, but the fighting evil is 
 good, and this is so, because evil is evil and good is good.
 
 520 REALISM 
 
 "We must conclude, that evil is an entity that retains its own 
 peculiar character, and that is not transformable into, nor reduci- 
 ble to, positive values. It is an immediate and self-sufficient 
 entity that, although it is opposed to, is not in the least dependent 
 upon, good, although, of course, it is related to good, which is 
 quite possible, since relatedness does not imply dependence, as 
 we have repeatedly discovered. 
 
 The general character of our solution of the theological prob- 
 lem, as this is based on our solution of the problem of goods 
 and of evils, is sufficiently indicated in these considerations. 
 It is a solution that supports a theistic, and not a pantheistic 
 position, and that holds to the irreducihle f actuality of evil and 
 of "powers for evil," as well as of good and of "powers for 
 good." 
 
 God is "above" the world of existents, in that He is Justice 
 and Goodness and Beauty and Truth as these subsist eternally 
 is a non-temporal and non-spatial realm. This is transcendent 
 Theism. But He is in the world even as concrete particular 
 existences conform in a greater or less degree to these ideals. 
 Above the world in this sense, God is supernatural, yet this 
 does not mean that He in any sense contradicts nature. For 
 God and nature are each a different universe of discourse, a 
 different realm. But there is also evil, both in a subsistent 
 realm and in existents, and this can neither be argued out of 
 its actuality nor reduced to anything else. 
 
 The religious consciousness may accordingly be described as 
 the persistent conviction that there are these two powers, and 
 that each is efficient in the realm of human motives and acts, 
 deeds and accomplishments. Eespect and reverence and love 
 for values and worths and for all that either is these or that 
 "makes for" them, form part of the religious consciousness. 
 But another part also is the hatred and detestation of all that 
 is evil and ugly and false, and the desire and will to fight these. 
 Such a consciousness is, however, clearly opposed to the passive 
 and inactive philosophical position that evil is but a means to 
 an end, or that it is mere appearance, so that "God's in His 
 heaven, all's right with the world," but it is, rather, the active, 
 militant attitude of hatred and of combativeness. The passive 
 position is blighting, but the active is full of life. Yet evil
 
 REALISM'S TELEOLOGY AND THEOLOGY 521 
 
 does not therewith become good — as a means to stimulating the 
 effort for its own annihilation. For it is not the evil, but the 
 hatred of evil that is the stimulus. Freedom, too, is given for 
 the fight. For that level of existence at which there is the 
 love of good and the hatred of evil, is one that is the result 
 of a creative process in which new "things" appear that, as 
 new, are free to follow their own nature. 
 
 Such a scheme of life is one neither of resplendent optimism 
 nor of enervating pessimism. Evil is a reality, and deserves 
 only to be fought. But the means are given to do this. For 
 there is a Power for good that works not only side by side 
 with man, but also in him and through him, flowering in that 
 freedom which is given to his reason to get at truth, to his 
 emotions to love the beautiful, the good, and the true, and 
 detest the ugly, the evil, and the false, and to his will and 
 manhood to engage in the struggle.
 
 INDEX 
 
 The Index supplements the Table of Contents, but does not duplicate 
 it: notes, as well as subject-matter, are indexed. The references are to 
 pages, f. signifying " and following page," ff., " and following pages." 
 
 Absolute One, The ; see One, The Ab- 
 solute. 
 
 Absolute Will, 337 f. 
 
 Absolutism, 347 ff . ; in Phenomenal- 
 ism, 225; in Pragmatism, 296 ff. 
 
 Absurd, the, 132 f.; 143 ff. 
 
 Acceleration, 281 ff.; see Motion. 
 
 Adaptation, 290 ff. 
 
 Addition, as an operation, 415 ff. 
 
 Affirmation and denial, 147 ff. 
 
 Agnostic Monism, 354 f. 
 
 All-inclusiveness, of the universe, 
 432 ff. 
 
 Alternative hypotheses, necessity of 
 using, in problem of error, 377 ff. 
 
 Analogy; limitations of, 154; use of, 
 152 ff. 
 
 Analysis, 141 ff., 278 ff.; as valid, 
 27, 896 ff.; and "thing" ana- 
 lyzed, 396 ff. ; fact of, as a pre- 
 supposition, 426 ff.; faulty, 160 ff.; 
 instances of, 382 ff. ; view of, in 
 Phenomenalism, 229 f. 
 
 Analysis in situ, 27 ff., 86 f., 158 ff., 
 208 ff., 210, 367 ff., 390; method 
 of, as a presupposition, 427. 
 
 Anaximenes, 81. 
 
 Anselm, 62, 63. 
 
 Antecedence; logical, 51 ff., 57; psy- 
 chological, 51 ff. 
 
 Antecedent and consequent, 147 ff. 
 
 Anti-iritellectualism, 34, 80 f., 274 ff.; 
 as a false position, 400 ff. 
 
 Antinomies. 35, 160 ff., 165 ff. 
 
 Anti-substance doctrine, the, 273 ff. 
 
 Apodictic, 221 ff. 
 
 Appearance and reality, 205 ff. ; in 
 monistic systems, 346 ff. 
 
 Aquinas, 58, 62 f. 
 
 Aristotle, 13 f., 62 f., 101, 108, 116, 
 129, 150, 203, 214, 285; evidence 
 of his use of the physical thing 
 as the model for thinking, 30 ff. 
 
 Assumptions, the method of making, 
 390 ff. 
 
 Atoms, 387 f. 
 
 Augustine, 62 f. 
 
 Avenarius, 46. 
 
 Awarene88,478 ; as a dimension,474 ff. 
 
 Bacon, Roger, 89. 
 
 Baldwin, M., 448. 
 
 Bawden, H., 285. 
 
 Beautiful, The, 496 ff. 
 
 Beauty, 60. 
 
 Beck, J. S., 312. 
 
 Behavior, 89 f . 
 
 Behaviorism, 477 f. 
 
 Bergson, H., 36, 43, 124, 136, 152, 
 
 170 ff., 276 ff., 290, 297 f., 303, 
 
 342 f., 464, 466, 511. 
 Berkeley, 58, 62, 108, 181, 185, 214, 
 
 233 ff., 325, 327. 
 Biology, 3, 342 ff. 
 Bolyai, J., 12. 
 Bosanquet, B., 109. 
 Bradley, F. H., 10, 59, 63, 168, 183, 
 
 187,*214, 330. 
 Broad, L. N., 218. 
 Brogan, A. P., 508. 
 Brown, H. C, 7, 11 f. 
 Burnet, J., 166. 
 
 Caird, E., 186, 323 f. 
 
 Calculus, 281 ff. 
 
 Calkins, M. W., 186, 324. 
 
 Cassirer, E., 175. 
 
 Categories, 13, 17, 107, 222 ff. 
 
 Causation, 55, 182 ff., 214 f., 402 ff.; 
 as limited, 292 ff., 448 ff.; as uni- 
 versal, 391 ff.; as universal, in 
 Naturalism, 260 ff.; postulate of, 
 216 ff.; universal, postulate of, as 
 self-contradictory, 418 f. 
 
 Causation-philosophies, 9 f. 
 
 Cause, 33, 155 ff. 
 
 Causes, 208 ff.; Aristotle's four, 32. 
 
 Change, 62, 280 ff.; see Motion; cor- 
 rect analysis of, 169 f.; incorrect 
 analysis of, 168 f.; qualitative, 
 analysis of, 464 ff. 
 
 Chaos. 54 ff., 331. 
 
 Chemical entities, 444 ff. 
 
 Classes, 16, 34, 91, 112 ff., 188 ff.; 
 contradictory, 415 ff.; definition 
 of, 193. 
 
 Classification, nature of, 15. 
 
 Class of classes, 361. 
 
 Coffee, P., as a modern schplaatio 
 
 523
 
 524 
 
 INDEX 
 
 showing the character of the 
 Aristotelian tradition, 31. 
 
 Collections, 192 f. 
 
 Compact, defined, 194. 
 Complexes; relational, 101 ff., 112 ff., 
 178 ff., 183 ff., 281 ff., 293 ff., 
 275 ff., 375 ff., 421 ff., 472 ff.; spe- 
 cific, as organized wholes, 194 f. 
 
 Comte, 46 f. 
 
 Concepts. 113 f.; nature of, 188 ff. 
 
 Connections, knowledge of, 145 ff. 
 
 Connotation, 113 f. 
 
 Consciousness; as an end causal ef- 
 fect, 483 ff. ; as a relation, 481 ff. ; 
 as a non-spatial, non-temporal, 
 qualitatively distinct variable, 
 470 ff., 484 ff. ; as a substance, 
 439 ff.; as a substance, implica- 
 tions of theory of, 374 ff. ; as use- 
 ful, 287 f . ; continuity of, in evo- 
 lution, 337 ff. ; dimensional and 
 relational theory of, bibliography 
 of, 470; problem of the nature of, 
 89 ff. ; problem of the nature of, 
 solution in Phenomenalism, 229 f . ; 
 problem of the first kind of, 91 ff. ; 
 problem of, and problem of error, 
 438 ff.; relational view of, 42 f.; 
 substance view of, as making 
 genuine knowing impossible, 42; 
 the religious, 520 f . ; undeniable 
 fact of, 486 ff. 
 
 Conscious processes, classification 
 of, 97 f. 
 
 Conservation; of energy, 90 f., 
 257 ff., 262 ff.; of values, 509 ff.; 
 principle of, in general, 257 ff. 
 
 Consistency, 6 ff., 135; as a presup- 
 position, 418 ff.; as distinct from 
 implication, 419 ff.; definition of, 
 421. 
 
 '• Consistents," definition of, 490. 
 
 Continuity, 57, 161 ff., 165 ff.; analy- 
 sis of, 451 ff.; and experiment, 
 462; definition of, 194, 461. 
 
 Continuous series, examples of, 462. 
 
 Continuum, linear, 461. 
 
 Contradiction, 161 ff., 278 ff.; Being 
 of, as a presupposition, 414 ff.; 
 fundamental, in Phenomenalism, 
 227 ff. ; fundamental, in Pragma- 
 tism, 300 ff. ; in systems opposed 
 to Realism, 230 ff. ; in Objective 
 Idealism, 331 ff.; in proof of Ab- 
 solute One, 357 ff.; law of, 106 f., 
 136 ff.; principle of, use of, 285, 
 318 ff.; principle of, formal use 
 of, 186 ff.; self-, 6 ff,, 136 flf. 
 
 Contradictories, 141 ff., 149 f. 
 Contradictory, The, 17. 
 Contradictory attributes, their sub- 
 sistence in different loci, 375 ff. 
 Contradictory propositions, 136 ff. 
 Contradictory terms, 136 ff. 
 Contraries, 149 f., 161 ff. 
 Converse, 115; of a relation, 101. 
 Correctness, formal, of reasoning 
 
 process, 119 f. 
 Correlation, 171 ff., 449 f.; of series, 
 
 23; not identical with identity, 
 
 381 f., 477 ft". 
 Correspondence, 290 ff., 448 f . 
 Cosmological argument, 63. 
 Cosmological problem, solution of, 
 
 in Phenomenalism, 286 f. 
 Cosmology, of monistic systems, 
 
 345 ff. ; of Subjective Idealism, 
 
 239. 
 Cosmos, 54 ff., 58 ff.; the, 437 ff.; 
 
 the, for Realism, 443 ff. ; logical 
 
 origin of, for Objective Idealism, 
 
 331 ff. 
 Costello, H. T., 158. 
 Counting, in relation to number, 
 
 150 f. 
 Creative synthesis, and values, 
 
 500 ff. 
 Creighton, J. E., 109. 
 "Cuts," 458 ff. 
 
 Darwin, 285 ff. 
 
 Deduction, 16. 
 
 Deism, 58 ff. 
 
 Deity, The, .')4 ff., 58 ff., 66 f., 
 187 ff., 233 ff., 328 ff., 517 ff.; in 
 monistic systems, 346 ff. ; in Nat- 
 uralism, 260; in Phenomenalism, 
 225. 
 
 Democritus, 262. 
 
 Denial, see Presupposition. 
 
 Denotation, 113f. 
 
 Density; analysis of, 451 ff.; defi- 
 nition of, 194; postulate of, 
 461. 
 
 Denumerable, definition of, 461. 
 
 Descartes, 46, 58, 108, 129, 204, 214, 
 264 f. 
 
 Design, 62 ff. 
 
 Determinism, 338. 
 
 De Vries, H., 287. 
 
 Dewey, J., 73, 110, 283 ff., 293, 297. 
 
 Dictum de omni ct nullo, 116. 
 
 Dimensions; and elements, 471 ff.; 
 definition of, 471; non-spatial and 
 non-temporal, 472 ff. ; within the 
 universe, 471 ff.
 
 INDEX 
 
 52^ 
 
 Direction, logical, 194; of processes, 
 
 509 flf. 
 
 Discontinuity, 161 ff.; analysis of, 
 451 ff.; definition of, 194, *462; in 
 evolution, 513 ff. 
 
 Discourse, universe of, 175. 
 
 Discovery, 24, 27; and Realism, 
 438 ff. 
 
 Disjunction, 141 ff. 
 
 Distance, 145 f. 
 
 Distinctness; numerical, 498; of 
 truth and certainty, as a presup- 
 position, 424 f.; not identical with 
 discontinuity, 464. 
 
 Distribution, 117. 
 
 Dream-objects, nature of, 92 S. 
 
 Driesch, H., 343. 
 
 Dynamic view, the, of modern 
 science, 336 ff. 
 
 Efficiencies; non-causal, 442 ff., 451; 
 non-existential, 479 ff., 516 ff. 
 
 Ego, the, 325 ff. ; as a substance, 
 33 f . ; Absolute, see Absolute One. 
 
 Ego-centric predicament, 219 ff., 
 322; as solved in Phenomenalism, 
 228 f . ; as solved in presupposi- 
 tions of Subjectivism, 240 f . ; solu- 
 tion of, 208'ff., 212 ff., 365 ff; see 
 Predicament. 
 
 Electrons, 287 f. 
 
 "Elements"; in Positivism, 244 ff.; 
 psychical, 389 f. 
 
 Elimination, virtual, 27 ff., 207 ff. 
 
 Elliott, H. S. R., 171. 
 
 Emotional experience, 124 f. 
 
 Emotionalism, 276 ff. 
 
 Empedocles, 51. 
 
 Endlessness, analysis of, 451 ff. 
 
 Energy, 262 ff. ; conservation of, 
 
 510 ff.; as Will, 338 f. 
 Entelechy, 343. 
 
 Entities; of the universe, classifica- 
 tion of, 486 ff., 494 ; types of, ex- 
 amples of, 488. 
 
 lipistemological problem, 203 ff., 
 430; other problems as independ- 
 ent of, 53 ; solution of, in monistic 
 systems, 349. 
 
 Epistemology; its dominance in 
 modern philosophy, 25; science as 
 independent of, 25. 
 
 Erdmann, B., 121. 
 
 Error; definition of, 295; nature of, 
 293 ff. ; possibility of, as a pre 
 supposition, 429; the residual ele- 
 ment in, 376 ff. ; problem of, and 
 problem of consciousness, 438 ff. ; 
 
 problem of, bibliography of, 439; 
 problem of, in Pragmatism, 
 290 ff. : problem of, in Phenom- 
 enalism, 228 f. 
 
 Error-objects, as part of the cos- 
 mos, 378, 433 ff. ; as subsistents, 
 377. 
 
 Ethical Idealism, 330 f., 333 f . 
 
 Ethical Monism, 341. 
 
 Ethics, see Values. 
 
 Ethics; in Phenomenalism, 225; 
 not a branch of biology, 450 f . 
 
 Eucken, R., 43, 342 f. 
 
 Euclid, 6, 129. 
 
 Evil, 61; as an entity, 518 ff.; as 
 appearance, 339; problem of, 
 204 ff., 518 ff. 
 
 Evolution, 90 f., Ill, 257 ff., 262 ff., 
 280 ff., 283 ff., 305 ff., 335 ff., 509 ; 
 concept of, in modern Individual- 
 ism, 402 ff. ; logical necessity of, 
 as demonstrable, 186 f ., 285, 
 340 f . ; see Motion. 
 
 Evolutionism, degrees of, in Prag- 
 matism, 295 ff. 
 
 Excluded Middle, law of, 107. 
 
 Exclusion, 137 ff., 142 ff., 375 ff., 
 441 ff.: contradiction as, 417 ff. 
 
 Existents, 148, 244 ff., 294f., 305 f., 
 388 ff.; definition of, 490; kinds 
 of, 491 ff. 
 
 Ex nihilo, Principle of, 264 f . 
 
 Experience, 73 f . ; and experiencing, 
 81 ff. 
 
 Explanation, 381 f. 
 
 External relatedness of Jcnotoing 
 and known, as a presupposition, 
 428. 
 
 External relations, 313 ff. 
 
 Fact; definition of, in Phenomenal- 
 ism, 227 f.; how given, 123 ff,; 
 nature of, 71 ff. 
 
 Fechner, 59. 
 
 Fichte, 10, 62 f., 108, 186, 312, 
 317 ft'., 322. 325, 330, 333, 341. 
 
 Finite, definition of, 194, 463. 
 
 Finiteness, analysis of, 451 ff. 
 
 Force, origin of the idea of, 336. 
 
 Fractions; irrational, 456 ff.; ra- 
 tional, 456 ff. 
 
 Freedom, 56, 333 f., 521, 505 f.; defi- 
 nition of, 449; of new qualities, 
 448 ff. ; not identical with lawless- 
 ness, 392 f.; of the will, 394 f.; 
 to postulate, 7 ff. 
 
 Frost, E. P., 89. 
 
 Functions, 39 f., 185.
 
 S26 
 
 INDEX 
 
 Flinctional relations, 27; between 
 
 "levels," 508 f. 
 Functional whole, definition of, 195. 
 
 Galileo, 88, 121 f., 156. 
 
 Gaps, 165 IT. 
 
 Generalization, 126 ff. 
 
 Geometry, 18; as illustrating types 
 of wholes, 196 f. ; different sys- 
 tems of, 146 f., 419 ff.; modern 
 method in, 5 ff. 
 
 Geulinx, 63. 
 
 Good, Absolute, 347 ; The, 496 ff. 
 
 Grammar, 99. 
 
 Greek Philosophy, 46 f . 
 
 Green, T. H., is'e, 322 f., 331. 
 
 Haeckel, 262. 
 
 Hegel, 10, 47, 59, 62 f., 108, 186, 
 
 285 f., 313, 318 ff., 322, 328, 330, 
 
 341. 
 Helm, G., 510. 
 Herbart, 60. 
 
 Hibben, J. G., 42, 58, 159, 206. 
 Fistorico-pragmatic proof, 64. 
 History, definition of, 3 ff. 
 Hobbes, 262. 
 
 Hoffding, H., 43, 58, 61, 514. 
 Holt, E. B., 81, 89, 177, 492. 
 Humanism, 298 ff. 
 Humanists, 54 ff. 
 Hume, 108, 181, 214. 
 Huntington, E. V., 12, 175, 455, 
 
 461, 471, 472, 480. 
 Husserl, E., 12, 103, 107. 
 Huxley, 246. 
 
 Idealism, 48 t., 84, 88 ; Ethical, 
 333 ff.; Objective, 9, 214 f., 272; 
 Platonic, 308 ff.: Subjective, 9 f ., 
 92 f. 
 
 Idealists, 72 ff. 
 
 Ideals, 11, 151 f., 309 ff., 394 f. 
 
 Identity, The principle of, 105 ff. 
 
 Illusions, problem of, solution of, 
 92 ff., 374 ff. 
 
 Illusory objects, 93 f. 
 
 Imagination, 126 f.; in art, 127 f.; 
 in philosophy, 128; in science, 
 127 f. 
 
 Immediatism, 276 f . 
 
 Immensity, 49. 
 
 Implication, 7, 10, 18, 86, 99 ff., 
 114 ff., 155 ff., 196 ff., 391 ff., 
 409 ff. ; absence of, instances of, 
 413 f.; basis of the relation of, 
 100 ff.; Being of, as a presuppo- 
 Bition, 412 ff.; limitations of, 
 
 422 ff. ; presehce of, and instances 
 of, 413 f. 
 
 Implications, development of, 145 ff. 
 
 Implicative situation, the, 103 ff. 
 
 Inclusion, complete, partial, or 
 negative, relation of, 102. 
 
 Inconceivability of the opposite, 8, 
 130 ff., 221, 368. 
 
 Inconceivable opposites, examples 
 of, 130 f. 
 
 Independence, 182 ff., 332; and re- 
 latedness, 20 ff., 24 ff., 41 ff., 76 ff., 
 82 f., 174 ff., 178 ff., 207 ff., 382 ff., 
 465 ff. ; and relatedness, instances 
 of, 84 ff. 
 
 Individualism, 77 ff., 402 ff.; bibli- 
 ography of, 403. 
 
 Individuality, 107. 
 
 Individuals, 16 f., 112 ff., 445 f. 
 
 Induction, 121 ff.; necessity of, 
 292 f., 449. 
 
 Inference, its logical conditions, 
 99 ff. 
 
 Infinity, 159 f.; analysis of, 451 f.; 
 compatible with finitude, 164; 
 definition of, 193 f., 463. 
 
 Influences, emotional, 8. 
 
 Inheritance, 120 f. 
 
 Instance, meaning of, 20. 
 
 Instances, 121 f., 178 ff. 
 
 Instincts, 337. 
 
 Integers, 456. 
 
 Intellectualism, 80 f . 
 
 Interaction, 267, 272, 290; limita- 
 tions of, 292 f. 
 
 Internal relations, formulation of 
 theory of, 37 ff. 
 
 Introspection, 264. 
 
 Intuition, 124 f., 277. 
 
 Inverse, the, of a relation, 101. 
 
 James, Wm., 9, 12, 84, 72 f., 110, 
 124, 206, 264, 273 ff., 283 ff., 290, 
 293, 297 ff., 302 f. 
 
 Joachim, H. H., 76, 331, 350. 
 
 Jones, Sir Henry, 206. 
 
 Justice, 152; absolute, 498 ff.; as a 
 non-causal efficiency, 450 f . 
 
 Kant, 47, 58, 74, 90, 108, 160 if., 
 185, 214, 216 ff., 333. 
 
 Kellogg, V. L., 288. 
 
 Kempe, A. B., 175. 
 
 Knower, Absolute, The, 333. 
 
 Knowing; and known object, as re- 
 lated and independent, 369 ff. ; 
 and the system S, 321 ; as a re- 
 lation or a dimension, 88 ff.; as
 
 INDEX 
 
 527 
 
 a substance, 88; as constitutive, 
 223 flf.; definition of, 97; in de- 
 tail and by " lump," difference be- 
 tween, 381 ff.; nature of, 212 f.; 
 subsistent, as a presupposition, 
 428; the Being of, as a presuppo- 
 sition of philosophy, 423 ff.; 
 structure of, in Phenomenalism, 
 220 f. 
 
 Knowing situation, the, 28, 81 ff., 
 291 f., 312 ff., 373 ff.; analysis of, 
 by method of analysis in situ, 
 211 ff., 369 ff.; and theory of ex- 
 ternal relations, 41 f. 
 
 Knowledge; as an organic system, 
 76; by specification, 158 f.; by 
 type, 158 f.; conditions for, 109; 
 extent of, 381 ff.; problem of, in 
 development of philosophy, 230 ff. ; 
 nature of, 71 ff.; origin of, 79 ff.; 
 origin of, solution of problem of 
 in Phenomenalism, 227 ; none 
 other than empirical difficulties 
 in, 378 ff. 
 
 Lamarck, 285 ff. 
 
 Law, 62 ff. ; and laws, 54 ff. 
 
 "Leap," the inductive, 122. 
 
 Leibniz, 47, 58, 62, 90, 108, 129. 
 
 Leucippus, 262. 
 
 Levels, of reality, 449 f. 
 
 Life, 512 ff. 
 
 Linearity, postulate of, 46 L 
 
 Lobatschewsky, N., 6. 
 
 Loci, logical, 139 f.; see Contradic- 
 tion and Exclusion. 
 
 Locke, 46, 71 f., 108, 181, 185, 204, 
 214, 242 f. 
 
 Loeb, J., 92, 262, 343, 478. 
 
 Logic, 12 ff.; as objective, 15; dis- 
 covery in, 29, 173; the constitu- 
 tive, of Kant, 199 ; the new or 
 non-Aristotelian, 11, 28 ff., 36 f., 
 156 ff., 255 f., 358 ff.; the new, 
 bibliography of, 175; the new, 
 contrast with the old, 173 ff.; 
 pragmatic theory of, 109 ff., 199 ; 
 principles of, as laws of mind, 
 106; types of, and theories of re- 
 lations, 198 ff. 
 
 Logic, the " old," or traditional, 28, 
 101 ff., 105, 199, 340; application 
 of, 213 ff.; and the new, con- 
 trasted, 366 ff. ; as transformed 
 into Hegelian logic ; see Underly- 
 ing reality theory of relations, 
 proof of; character of, 32 ff., 
 155 ff . ; criticism of, 35 f . ; influ- 
 
 ence of, in monistic systems, 
 352 ff.; origin of, 29 ff.; use of, 
 279. 
 
 Logical entities, objectivity of, 20. 
 
 Logical priority; among the sci- 
 ences, 465 ff. ; as a presupposition, 
 429 ; instances of, 386 f . 
 
 I;Ovejoy, A. 0., 93, 376, 439, 440. 
 
 Mach, E., 27, 46, 246 f. 
 
 Major term, 117 f. 
 
 Malebranche, 268. 
 
 Manifoldness of the universe, 49 ff. 
 
 Marshall, H. R., 264. 
 
 Marvin, W. T., 128, 206, 402. 
 
 Materialism, 258, 262 f ., 370 f . ; as a 
 phenomenalistic philosophy, 263. 
 
 Materialists, 262. 
 
 McCosh, J., 408. 
 
 Measurement, 453; and numbers, 
 468. 
 
 Mechanics, 281 ff.; see Motion. 
 
 Mechanism, in biology, 342 ff., 388. 
 
 " Member of," relation of, 102. 
 
 Memory, 126. 
 
 " Mentionables," 489 ff. 
 
 Middle term, 116. 
 
 Mill, J. S., 46, 121, 130. 
 
 Miller, D., 89. 
 
 Minor term, 117 f. 
 
 Minuteness, 49. 
 
 Monism, 371 f., 432 ff.; logical, 24, 
 55; in subjective Idealism, 239. 
 
 Monistic Vitalism, 343 f. 
 
 Montague, W. P., 483, 492. 
 
 Moods, of categorical syllogism, 
 117. 
 
 Moore, G. E., 103. 
 
 Moral consciousness, the, 506 f . 
 
 Moral situation, the; its nature, 
 503 ff., 513 f. 
 
 Motion, 179 ff., 184 f., 313, 383 ff. ; 
 see Acceleration, Analysis, Corre- 
 lation, Continuity, Density, Dis- 
 continuitv, Finite. Infinitv, Order, 
 Series; analysis of, 279 S"., 464 ff.; 
 analysis of, as evidence for exter- 
 nal relations, 367 f.; incorrect 
 and correct analysis of, con- 
 trasted, 170 ff.; modern and cor- 
 rect analysis of, 281 ff.; Zeno's 
 analvsis of, 166 ff. 
 
 Miinsterberg, H., 60, 69, 330, 287. 
 
 Mysticism, 277 ; as rationally de- 
 fended, 104; bibliography of, 407; 
 limited validity of, 407. 
 
 Naturalism, 9 f ., 47 f., 214, 370 f..
 
 528 
 
 INDEX 
 
 392 f., 306, 444 f . ; criticism of, 
 268 ff. ; as a generic doctrine, 261 ; 
 bibliography of, 259. 
 
 N-dimensions, 473 flf. 
 
 Necessity, logical, 115. 
 
 Negation, 136 flf. 
 
 Negative, the, the nature of, 414 flf. 
 
 Neo-realism, 48. 
 
 Neo-realists, 46. 
 
 New Rationalism, The, 43. 
 
 Newton, 58. 
 
 Nietzsche, 339. 
 
 Non-additive wholes, and values, 
 496 ff. 
 
 Non-epistemological problems, in- 
 dependence of, 431 f. 
 
 Numbers, 18; cardinal, 453 ff.; 
 analysis of, 455 ff. ; irrational, 
 458 ff.; natural, 150 f., 456; nega- 
 tive, as realities, 456; real, 461; 
 signed, 415 ff. 
 
 One, The Absolute, 321 ff., 330 ff.; 
 as a " mentionable," 358 f. ; as 
 Oneness, 359 ff. ; as a series, 
 359 ff.; contradictions in proof of, 
 357 ff. ; nature of, 354 ff. ; as sum- 
 mum genus, 356 ff. 
 
 One and Many, 446, 475 ff. 
 
 One-one correspondence, definition 
 of, 466. 
 
 Oneness, of the imiverse, 327. 
 
 One, The, not all-inclusive, 436 f. 
 
 One Truth, as a system of truths, 
 as a presupposition, 427 f. 
 
 Ontological argument, 63. 
 
 Ontological problem, solution of, in 
 Monism, 345 ff. ; solution of, in 
 Phenomenalism, 226. 
 
 Ontologv, of Subjective Idealism, 
 238 f'.' 
 
 Order, 11, 13 ff.; see Series, and 
 Logic. 
 
 Organic systems, 422. 
 
 Organisms, 55, 184 f., 446 f. 
 ^Organization, 56 ff., 246 f., 446 ff. 
 
 Origin of knowledge, in monistic 
 systems, 352. 
 
 Ostwald, W., 47, 262. 
 
 Outcomes, practical, 275 ff. 
 
 Tan-logism, 9 f., 330. 
 
 Pantheism, .59 ff., 329. 
 
 Panzoism, 34. 
 
 Parallelism, psycho-physical, 264 ff., 
 
 370. 
 Particulars, 11. 
 Paulsen, F., 89, 152. 
 
 Peirce, C S., 175, 293. 
 
 Perfect, The, 497 ff. 
 
 Perfect Being, 63 ff. 
 
 Perfectionism, in monistic systems, 
 
 348. 
 Perry, R. B., 81, 285, 492. 
 Personality, the unity of, 325 ff. 
 Pessimism, 52, 339 ff. 
 Phenomenalism, 34, 48 f., 88, 108 f., 
 
 160 ff., 214, 298 f., 308, 311 ff., 
 
 330 f., 333 ff., 338; bibliography 
 of, 232; contrast with Subjective 
 Idealism, 236 f . ; criticism of, 
 230 ff. ; in Objective Idealism, 
 
 331 ff. 
 Phenomenalists, 72 ff. 
 Philosophy; and its environment, 
 
 44 ff. ; views as to the nature of, 
 46. 
 
 Physical entities, 444 ff. 
 
 Physical Thing, the; definition of, 
 29; influence of, as a model for 
 thinking, 32 ff., 213 ff.; influence 
 on the philosophy of the tradi- 
 tion, 29. 
 
 Pitkin, W. B.. 89, 492. 
 
 Plato, 13 f., 60, 90, 152, 203, 255, 
 326, 498. 
 
 Pluralism, 358 ff., 373 f., 385 ff., 
 432 ff.; in Subjective Idealism, 
 239; logical, 24, 43. 
 
 Poincare, H., 12, 145. 274, 293. 
 
 Points, 162, 178 ff.; see Space. 
 
 Positivism, 9 f ., 47 ; bibliography 
 of, 241; cosmology of, 249; on- 
 tology of, 248 f . ; presuppositions 
 and criticism of, 251 ff. ; solution 
 of problems in, 248 ff. ; teleology 
 in, 249 f . ; theology in, 249 ; valid 
 elements in, 255 ff.; "values" in, 
 250. 
 
 Positivists, 247. 
 
 Postulates; as consistent, related 
 and independent, 462; in geom- 
 etry, as related and independent, 
 420 ff.; in philosophy, Off.; for 
 Objective Idealism, 318 ff.; for 
 Positivism, 245 ff.; for series, 
 455 ff.; of Phenomenalism, 210 ff.; 
 of Subjective Idealism, 233 ff. 
 
 Postulate, the freedom to, 390 ff. 
 
 Postulation; method of, 420 ff.; 
 method of explicit, 6ff. ; method 
 of, in philosophy, 203 ff., 215. 
 
 Pragmatism, 9 f., 88, 109 ff., 214, 
 370 f., 392 f., 396, 398 ff., 507; 
 Absolute, Royce's position of, 18; 
 as a self-contradictory system.
 
 INDEX 
 
 529 
 
 134 flp.; bibliography of, 307; 
 criticism of, 301 ff.; inconsisten- 
 cies in, 399 ff. 
 
 Pragmatists, 46, 54 ff., 72 ff., 284. 
 
 Predicament; the ego-centric, 81 ff., 
 206, 315 f.; solution of, 365 ff., 
 372 ff.; the value-centric, 206 ff. 
 
 Premises, 116; establishment of, 
 144 ff. ; of disjunctive syllogism, 
 141 ff.; of hypothetical syllogism, 
 147 ff. 
 
 Presupposition by denial, 222; of 
 the principle of contradiction, 
 140; instances of, in Individual- 
 ism and Skepticism, 405 ff. ; proof 
 of, as a logical principle, 1.33 f.; 
 psychological element in, 134 f.; 
 the test of, 132 ff.; use of, 17, 
 19. 
 
 Presupposition of premises, 120. 
 
 Presuppositions; of systems opposed 
 to Realism, 26 ff. ; those accepted 
 by Realism, 231 f. 
 
 Principles; as useful, 288; of induc- 
 tion, 122 ; of proof. Pragmatism's 
 view of, 297 f. 
 
 Priority, logical, 86, 409 ff. ; princi- 
 ple of, 384 f. 
 
 Problems; artificial, 312; false, 44; 
 false, in philosophy and science, 
 397 ff.; philosophical, and history, 
 397 ff.; philosophical, and their 
 solution, 5; philosophical, nature 
 of, 396; real, 312 f. 
 
 Product, logical, 17. 
 
 Progress, in philosophy, 24; prob- 
 lem of, 509 ff. 
 
 Progression, definition of a, 461. 
 
 Proof, material principles of, 200. 
 
 Propositions; Being of, as a pre- 
 supposition, 409 ff . ; contradictory, 
 415 ff.; examples of, 102; rela- 
 tional, 173; self-contradictory, 
 132 f.; self-contradictory, exam- 
 ples of, 139 f.; types of, 112 ff., 
 115, 117, 411 f. 
 
 Protoplasm, 282. 
 
 Psychism, 268 ff., 370; modern. 
 Idealism as a, 309 f. 
 
 Psychological problem, solution of, 
 in Subjectivism, 239 f. 
 
 Psychology, 299, 335 f . ; of thinking, 
 bibliography of, 95 f . 
 
 Purpose, 55 f . 
 
 Qualitative difference, between know- 
 ing and known object, 373 f. 
 Qualities; disembodied, 475 ff.; 
 
 physical, as subjective, 233 ff.; 
 new, appearance of, 447 ff. 
 
 Rationalism, 48, 79 f., 486; see 
 Realism. 
 
 Rationalization, attack on, 278 ff. 
 
 Realism, 11 ff., 23, 25, 43, 84 ff., 
 212 ff., 242 f., 272 f., 297 f., 310, 
 316, 406; and epistemology, 431; 
 and the problem of error, 374 ff. ; 
 and the theory of external rela- 
 tions, 41 ff. ; as a basic position, 
 9 ff. ; as presupposed by opposed 
 systems, 369 ff., 408 ff., in logic, 
 100 ff.; in monistic systems, 
 347 f.; in Naturalism, 260 f.; in 
 Phenomenalism, 230 ff.; in phi- 
 losophizing, 104 ff.; in Positivism, 
 251 ff.; in Pragmatism, 301 ff.; in 
 Subjective Idealism, 238 ff. ; The 
 New, bibliography of, 495 f. 
 
 Reality, ultimate nature of, for 
 Realism, 432 ff. 
 
 Reason, Freedom of, as a presuppo- 
 sition, 393 ff., 427. 
 
 Reasoning, 390 ff. ; by the use of 
 words, 95 ff. ; logical conditions 
 of, 16, 99 ff. 
 
 Reductio ad ahsurdum, 132 f,, 
 150 ff., 160 ff. 
 
 Reduction, of some entities to 
 others, 432 ff. 
 
 Reid, 408. 
 
 Relatedness; see Independence. 
 
 Relation; definition of, 21; how it 
 relates, theories as to, 176 ff.; in- 
 verse, 191 ; of knowing to its ob- 
 ject, appearance and disappear- 
 ance of, 380 f . 
 
 Relations, 14 ff.; additive, 34 f., 
 281 f.; as independent, 70 f., 86, 
 384 ff. ; see Independence ; asym- 
 metrical, 191; asymmetrical and 
 transitive, 36, 159, 455 ff.; see 
 Space and Time; Being of, as a 
 presupposition, 409 ff.; causal, 
 387 ff.; dyadic, 191; external, in- 
 stances of, 382 ff. ; external, as 
 found in knowing situation, 
 212 f.; external, theory of, proof 
 and criticism of, 17811'.; function- 
 al, 208 ff., 291 f.; internal, theory 
 of, application of, 213 ff. ; internal, 
 theory of, as postulated for know- 
 ing situation, 216 ff.; intransi- 
 tive, 191 ; modification theory of, 
 37 ; modification theory of, evi- 
 dence for, and proof of, 182 ff,;
 
 5S0 
 
 INDEX 
 
 modification theory of, in Subjec- 
 tive Idealism, 236 if. ; non-addi- 
 tive, 163 f., 281 ff., 387 f., 447 ff.; 
 non-causal, 387 ff. ; non-symmetri- 
 cal, 191; non-transitive, 191; not 
 causally related, as a presupposi- 
 tion, 429 ; of inclusion and exclu- 
 sion, 112ff. ; of similarity and 
 difference, 112 ff.; one-many, 192; 
 one-one, 192; symmetrical, 191; 
 theories of, and analysis, 426 f . ; 
 theories of, bibliogra])hy of, 
 181 f.; theory of external, formu- 
 lation of, 38; theory of external, 
 evidence for, 39 ff. ; theories of, 
 use of, in deriving philosophical 
 systems, 365 ff.; transitive, 191; 
 types of, 100 ff., 174 f., 411 ff.; 
 types of, in modern logic, 157 ff.; 
 types of, in traditional logic, 155; 
 types of, summary, 190 ff.; under- 
 lying-reality theory of, 38, 317 ff.; 
 underlying-reality theory of, as a 
 postulate, 331 ff.; underlying- 
 reality theory of, criticism of, 
 180 f., 187 ff.; underlying-reality 
 theory of, proof of, and evidence 
 for, 185 ff. 
 
 Relativism, in Pragmatism, 300. 
 
 Religion, 64 f. 
 
 Religious consciousness, the, 69. 
 
 Renaissance, 203 f . 
 
 Responsibility, 394 f. 
 
 Rest, 170ff. 
 
 Rickert, H., 69. 
 
 Riemann, B., 6. 
 
 Romanticism, 342 ff. 
 
 Royce, J., 12 ff., 62, 135, 175, 183, 
 186 f., 191, 193, 229 f., 330 f., 350, 
 410. 
 
 Russell, B., 12, 27, 37, 103, 136, 
 163, 166, 173, 175, 178, 191, 193, 
 293, 453. 
 
 Sabatier, A., 65. 
 
 Schelling, 10, 318 ff. 
 
 Schiller, F. C. S., 54, 110, 283, 297 f. 
 
 Schmidt, K., 7, 12. 
 
 Schopenhauer, 59, 318 ff., 339. 
 
 Schulze, G. E., 218, 312. 
 
 Science, 179 ff., 204 ff.; as positiv- 
 istic, 256; influence of, in philos- 
 ophy, 257 ff. ; modern, logic of, 
 10, 126 ff. . 
 
 Sciences, the natural, procedure of, 
 274 ff. 
 
 Self, Absolute, The; see Absolute 
 One. 
 
 Self-contradiction, 183, 417 ff. 
 
 Sflf-contradictory, The, 132 ff. 
 
 Self-evidence, 8 f., 165 f., 221, 368; 
 the test of, 129 ff. 
 
 Self-evident propositions, examples 
 of, 129. 
 
 Self-refutation, 274. 
 
 Self, the, 233 ff. ; as substance, 
 216 ff. ; the transcendental, 
 220 ff. 
 
 Sensationalism, 79 f., 276 f . 
 
 Sensations (and impressions), 
 243 ff. 
 
 Sense experience, 123 f . 
 
 Series, 10, 18, 56 f., 156 ff., 169 ff.; 
 correlation of, 23 ; definition of, 
 193: nature of, bibliography, 455; 
 postulates for, 455 ff. 
 
 Sharp, A. B., 124. 
 
 Sigwart, C, 189. 
 
 Similarity, relation of, 188 ff. 
 
 Simples, ^61 ff., 178 ff. 
 
 Singer, E. A., 89. 
 
 Situation, the thinking, analysis of, 
 114. 
 
 Size, 145 f . ; of the universe, 468. 
 
 Skepticism, 402 ff. 
 
 Smith, N. Kemp, 206. 
 
 Soddy, F., 510. 
 
 Solipsism, 93. 
 
 Sophists, 78. 
 
 Space, 162; analysis of, 279 ff., 
 451 ff.; analysis of, modern, 
 158 ff.; see Analysis, Continuity, 
 Discontinuity, Density, Finite, In- 
 finity, Series; the world of, 145 f. 
 
 Spaulciing, E. G., 89, 158, 164, 177, 
 230, 280, 467, 478. 
 
 Spencer, 46 f., 130. 
 
 Spinoza, 10, 46 f., 59, 63, 108, 214, 
 311. 
 
 Standards; aesthetic, 289; ethical, 
 289. 
 
 States of affairs, 11, 25, 84 ff., 104, 
 112 ff., 318 f.; as known in dif- 
 ferent philosophical systems, 369. 
 
 Stein, L., 9. 
 
 Strata, of the universe, 56. 
 
 Strong, C. A., 268. 
 
 Stuff and stuffs, 51 ff. 
 
 '* Sub-classes," 458 ff. 
 
 Subjective Idealism, inconsistencies 
 in, 240 ff., 243. 
 
 Subsistents, 11 ff., 50, 98, 148, 294 f, 
 305 f., 377 f., 394, 444 f.; and 
 causation, 390 f.; and existents, 
 theory of, bibliography of, 403; 
 definition of, 490) kinds of, 491 ff.
 
 INDEX 
 
 531 
 
 Substance, 33, 155 ff., 161 f., 214 f., 
 270 fT., 308 ff., 435 f., 439 ff.; con- 
 cept of, as applied to " knowing," 
 28, 42; in monistic systems, 353 f. 
 
 Substance-philosophies, 9. 
 
 Substance view, limitations of, 
 292 f. 
 
 Substratum, of the universe, 328. 
 
 Subtraction, as an operation, 
 416 ff. 
 
 Summum genus, 55 f . 
 
 Syllogism, the, 119; as included in 
 the new logic, 36; categorical, 
 102 ff., lllff. ; incorrect, examples 
 of, 117. 
 
 SjTumetry, 21 f. 
 
 Synthesis, 158 ff.; creative, 479 ff.; 
 see Freedom ; non-additive, 282 ff. 
 
 System, meaning of, 421 ff. 
 
 System, the Being of, as a presup- 
 position, 421 ff. 
 
 Systems, philosophical and geo- 
 metrical, comparison of, 5ff. ; 
 philosophical, classification of, 
 9ff. 
 
 System S, The, 18. 
 
 Taylor, A. E., 324 f., 331. 
 
 Teleology, 152 f., 266 f.; immanent, 
 515 ff.; immanent, in Volunta- 
 rism, 338; transcendent, 515 ff. 
 
 Terms, Being of, as a presupposi- 
 tion, 409 ff. ; self-contradictory, 
 132 f. 
 
 Thales, 51. 
 
 Theism, 58 ff., 235 ff., 320. 
 
 Theological problem, solution of, in 
 monistic systems, 346 f. 
 
 Thermo-dynamics, 510 ff. 
 
 Things-in-themselves, 217 ff. 
 
 Thinking, " Laws " of, 222. 
 
 Thorndike, E. L., 26. 
 
 Time, analysis of, 451 ff ; see Analy- 
 sis, Continuity, Discontinuity, 
 Densitv, Finite, Infinity, Series. 
 
 Tradition, The Aristotelian, 9 ff., 
 24 ff., 64 f., 391 ; character of, 31, 
 326 ; dominant concepts of, 32 ; 
 in logic, 105 ff.; influence of, 8 f . 
 
 Transmission, social, 111. 
 
 Tropisms, 337. 
 
 Truth, 19, 144, 276; absolute, 74 ff.; 
 absolute standard of, in Pragma- 
 tism, 296; and certainty, not iden- 
 tical, 405 ff.; as independent of 
 absolutely true tests, presupposi- 
 tion of, 420; as relative, 74 ff.; 
 M a satiBfaction generated by be- 
 
 lief, 399 ff. ; as a value, 70 f ., 
 207 ff. ; as distinct from tests of, 
 proofs, evidence, and certainty, 
 
 424 ff. ; as distinct from success- 
 ful working, as a presupposition, 
 
 425 f.; "copy theory" of, 71 ff.; 
 definition of, 423; "material," of 
 premises, 119 f.; nature of, 71 ff., 
 396, 405 f.; not identical with 
 usefulness, 398 ff. ; organic theory 
 of, 76, 350 f.; Pragmatism's defi- 
 nition of, 276; pragmatic theory 
 of, 124 f., 289 ff.; test of, in mo- 
 nistic systems, 351 f. ; test of, lack 
 of any absolute, 351 f.; tests of, 
 psychological, 129 ff.; the Being 
 of, as a presupposition in philos- 
 ophizing, 423 ff.; theory of, in 
 Phenomenalism, 226 f. ; theory of, 
 in Positivism, 251; the test of, 
 74 f., 76. 
 
 Truths, The system of, 75 ff. 
 
 Types of entities, manifold of, as a 
 
 presupposition, 429. 
 Types of knowing, different, as a 
 
 presupposition, 429. 
 Typical cases, 
 
 Ueberweg, 109. 
 
 Underbill, E., 124. 
 
 Unities and wholes, 197 ff. 
 
 Unity, 180 f., 197 ff., 319 f.; abso- 
 lute, 185 ff., 317 ff.; metaphysical 
 or transcendent, as self-contradic- 
 tory, 198. 
 
 Universals, 11, 152. 
 
 Universe, The; as a machine, 153 f.; 
 as an organism, 152 ff.; as a sys- 
 tem, see System, 436 ff.; as a 
 totality, 488 ff.; the, examples of 
 kinds of entities it includes, 
 433 ff.; the unity of, problem of, 
 317 ff. 
 
 Unknown, as distinct from unknow- 
 able, as a presupposition, 429. 
 
 " Unreal " entities, nature of, 489 f. 
 
 Usefulness, 286 ff., 290 ff. 
 
 Values, 60 f., 66ff., 206; aesthetic, 
 502 f. ; and consciousness, 69 ff.; 
 as objective, 501 ff.; as qualities 
 of relational complexes, 499 ff.; 
 by what conditioned, 68; defini- 
 tion of, 66 ; conservation of, 69, 
 509 ff. ; ethical, 394 f . ; examples 
 of, 497 ff. ; organization of, 508 ff.; 
 problems of, solution of, in mo- 
 nistic systems, 347; p.Toblem of.
 
 532 
 
 INDEX 
 
 solution of, in Phenomenalism, 
 224 f . ; the ultimate standard of, 
 67 ; theory of, bibliography of, 
 507. 
 
 Variables, 179 ff.; independent, 
 382 ff. 
 
 Veblen, O., 12. 
 
 Velocity, 39 f . ; see Motion. 
 
 Venn, I., 121. 
 
 Vitalism, 342 ff., 388. 
 
 Voluntarism, 9 f. 
 
 Von Hiigel, F., 124. 
 
 Ward, J., 264. 
 
 Watson, J. B., 89. 
 
 Watson, John, 331. 
 
 Whitehead, A. N., 12, 136, 175, 
 193. 
 
 Wholes; causal, 195 f.; consistent, 
 196 f.; contradictory, 196; impli- 
 cative, 197; organic, 184 f.; or- 
 
 ganic, definition of, 195 ; organ- 
 ized, 361 ff., 472 ff.; see Relations, 
 Space and Time; the experience 
 of, 125. 
 
 Will, Freedom of, 394 f.; in Volun- 
 tarism, 335 ff. 
 
 "Will to live," 339 f. 
 
 " Will to power," 339 f. 
 
 Windelband, W., 42, 69. 
 
 Woodbridge, F. J. E., 89, 481. 
 
 Words as symbols, and their mean- 
 ings, 96 ff. 
 
 '•'World," The, as plastic, llOf. 
 
 World-soul, 328 ff. 
 
 Wundt, W., 109. 
 
 Young, J. W., 175. 
 
 Zeno, 166 ff., 170 ff. 
 Zero, 18; as a reality, 456; defim« 
 tion of, 415 ff.
 
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