UNIVERSITY OF CALIFORNIA! AT LOS ANGELES EX LIBRIS , '. LOG 1C OR, THE ART THINKING IN WHICH Be/ides tlie Common, are contain'd maii Excellent New fyles, very profitable for directing oftya/on, and acquiring of Judgment, in things as well relating to the Inftruion of a Mans felf y as of other). In Four Pahs. I. Confiding of fyfleftions upon Ideas, or upon the firft Operation of the Mind, which is called ////>rc- henfion, &c. Il.Of Conjiderations of Aden about Proper Judgment s^c, III. Of the N4ftt/r and various 4*W. of f^afomng^ &c. IV. Treats of the croft profitable Method for te- monftrating or Ittuftrating any Tr?&, 6tC. TO WHICH Is added an 7N> A" to the whole B O %.. For the Excellency of the Matter, Printed many times In French and Latin, and now for Publick Good Tranilarcd into En- gltjk by Several Hands. L O N D O N, Printed by T. B. for John Taj tor at the $//> in St. Church-Tard, MDCXC1II. fl j nr T I , i - .-*- 4 ANA Advertifemen^ 4 : OF THE ^AUTHOR THIS Small Treafife is a' together more b&Cn-t- riigfa its Birth to Fortune, or rather an Accident of Div;rtifem?nt, then to any ft* ricwD fyn. Font hap fen**^ ThataPer- fcn of .Quality, entertaining a Yiung Ksb'ftnan^ tt'ht mads afpear a So'.tdity of Judgment, and a Penetration of Wit much abov-j hit Years ; am *ng otlxr D>fa>nr{e told him, that when he himfcif&ai a Yonttg MJX, he had met itHth a Perfon* from tp'txnt in Fifteen D*ys tons he had learnt the great eft and mo ft material Pan of Logic. ThisDifcMrfe gave occaficn to another Perfon then prefent, and one who u> hen Ifirft began the nor did IthtnJ^ts havefpent above a day about it. 4 'L But An Advertifcment ', &c. JBwf fo Joon as I had fet my ft If to work^, fo many new Reflections crowded into my Thoughts, that I teat cw- ftraind to write *em down for the di[clwge of tnj A: mory. So tint injle'nd of we day*' I fpfntfow or f-: during which time, this Body of LOJTIC was forrrid, to a'hic'j afterwards fevfral other things were added. New tho it ftvetid to a greater Bulk, of Matter then ?;.;. -:-'/:'/ ? ; >'V,;bich we propofe to curjelves, and the reafon why we have included fo much ' . - THE # iVK "fl ' : :i .va * ' J V. i * i\ TRANSLATORS TO THE *" ~ r I ^ H E Common Treatises of L^ze are almoft JL v/ichout number, and while every Author drives to add fbmething of his own, fometimes lierle to the purpofe, fomerfmes altogether from the rmrter, the' Art is become, not only Obfcure and Tediou?, but in a great Meafure Impertinent and Ufelefs. - Tnus the Schoolmen may be faid to hare cloggtt and fetter'd Reafon, -which ought ro he free as "Air, and p!am as Derhonlfratimi it felf, with vain mil- applicatjonsofrhssArr to Notion and Nicety, while- they make tife of ir only ro maintain litigtous Cavils and wrangling Difpures. So that incfced- rhe com- m-,:n Logics rtre but as ffj many Counrerfbrps to (hel- ter the obftinare and vain glorious, that diiHairr Stab- million and Convinccmenr, and therefore retire vlrhin their Fortifications of diriiculr TCTIT.SU wrap irc-j up in Quirk and Sucrlery, and (o efcape. oafon in lie Clouds and MI ft* of their . tmedy of which we arebcfol&ri to thi= Fa- A Tranflators to the Reader. mous Author, who has at length recover'd this Art ( then a noble Science when not Pedantic ) from Night and Confufton j clear'd away the Rubbifh tr*i: oppre-fled ir^ and Prun'd off thpfe Underwoods ync fuperfluous Boughs, that over {haded and Ec- clipfed the light of true Reafbn ; (b that now Logic may befaid to appear like Truth it felf,naked and delightful, as being freed from the Pedantic Duft of the Schools, , if KnotrteJge and "Under- ng be hii /., . /noil ( aunfib^ Jo ^Sffcfe^ 1 "'' CON #00 SfifiJ o'r r *iyifi-jJi ^jujti io Jfigii ^ p^cti. THe firft Difcourfe, &*, tfc Vnivcr- ft! ity and Singularity , ~. Chap. 8, Of the Clearnefs and DiftinRimof Ideas ; ' <% alfoof their clfiuritj and cmfufion 8 r . Chap. 9, Some E&m,f/ c , of tmfufd Idea?, &afr* from .Ethics., ^_ Chap* The CONTENTS. Chap. 10. Of another caufe of Confufion in cm- thoughts and difcourfe* \ 06. Chap. J 1 . Of the t(medy ofConfufions in our Thoughts *nd fyttiocifiations, art/ing from the confafion of words. Of the benefit of defining urords j and of the difference between the Definition of Things and Names III. Chap. I ^. Certain Qbfervatious of great Importance, touching the definition of words "A$wt- 118. Chap. 13. Of another fort of Definition tf 'Names , by which their figmfications are denoted ^cording to common uft 1 1 ? . PART H. Chap. I. VPbtt a. Propfifion is? Of the four fort* cf Propofitions l ^ Chap. X. Of the Oppofitton of Propofitions, having the fane Sufyeft and Predicate 1AO. Chap. 3. Of Propofition* Sirnp'e *nd Compound* That there are fome which feem to be Jimple but are not ^ andtthicJa may be calfd Complex Pioftofittons, &th as to the Subject and Attribute 1 4 j . Chap. 4. Of the 'Nature of Incident Profo/itioitJ, tbtit mike a part of Prspvfiti&ns ccwpJcx'd 148: Chap. 5% Of the fa'Jkood that occurs in Complex Terms, 4nd fncidsnt Preptjifwnj 'T?- Chap. 6. Of Complex Prcjwfj front, according t* sfffir- fjf.ition and Negation. Of one fort cf Propofitions which t'je Phiiofopbers ca// Modal J T9 Chap. 7. Of fever al forts of Catnpcs*d Prcpfitions 1 6 3. Chap. 8. Of Propefi: ions composed in fince iji. Chap. 5. O^tr-vationj to find cut the Predicates and, Subjetls in Prcfofittons, txprtfs-d after 4 lefs rfital I manner \ The CONTENTS. Chap, i o. Other Obftrvatioxs to /ftw/p vhptixr Pro- pofittoni arc Vni-uerfal or Particular i $%. Ghap. 1 1. Of two font of Propjitims neccjfcr? for t/x Learning of the Scitnces, Definition Mid Divifion 195. Chap. 11. Of the Definition O f a Tb^ , ^ Chap, i $. Of the Conrerfan of Proportions, trish a thorough Inquifition into the Nature of Affirmtticn and NtgaticH, upon which ^ Convsrfion defends. Andfirfl of the Kature of 4$r ma t>on 104, Chap. 14. Of the Conixrjicn of Affirm* ' Chap. 15. Oftlx Nature fNcgteive Prtyfitions Cil. i 6. Of the Converfwn of Negative Pro^fiticns ^l> P ^R-T^IIL v Of Difcourfe or fytiocination ^<\ '^ >fafaf .. a j r. Chap, j . Qf the Nstw of fytiotination , and the f e '- WAlptrts of it ^ w 2 , 7 Chap. z. The Ow/J^/SyJbgifms into St>n?l e and .Conjunfiive ; and of,fvn f l e ,nto Ineompkx and Com- fi^^^^-twsWxM \9 ^^ri.V1f ^i y> , ^^l. Chap, ,. G^rrW ^/ for fafb Syllc^fms Incem- " ^ , ?- C-hap. 4. O/ /, F^wr^ ^W Ai^^ 6/ Syllogifms i* -General. That t hers can he no more than five Ft- t 2> j l . Chap. j. T^ Hl'^Modet and Foundations ofthtfrji .. -. ... Chap. 6. Tfc !(///, A^., ^ Princi pi es O f t fa cond Figure ^ Jf Cha p , 7 . jbc fyle,, Modes arf Grounds of the t* ir d "i** Figitr* The CONTENTS. ^r Chap. 8. Of the M*ks of the Fourth Figure *. Chat) 9. 'Of 0>m/&x Sylfogifms , and how they may bs MJibtdinto Common Syllogifins, and bo* judg d by tl* fame *plei Chap. I Q. A General Principle, bi the Mf rf *i tritfaut any other ZeduBion into R&arn and Modes, The Truth or Fa/Jhood of a2 Syllogifins may be *M ^6^ Ch,o. i i. 74. .ipffati***** ** 1 **#*<> feveral Syllogiims ^//m be intrtcate Chap, i z." Q/- ConjimElive Syllogifms 17*. Chap. 15. Cy-SyUogHms,^/.^^^ '*- iurifiive . ' -' Chap. 14. Of Enthymemcs WEnthymematic^a. x o 4" tenees . ""* Chap. 15- O/Syllogifrnsc^/*/^/^ ^ Chap. 16. Of Dtlemm* Chao 17 0/^r Pwc or Method to find out Ar^u- rncnt!', and bo* this Method is of little ufe a 9 y. Chap. I 8. TbeVwifw ^ Pi into Maces of Gram- mar, Logic **/ Mctaphylics 3 J Chap. 19. O/ the fwralforttof wiuu Arguments, cafd Sophifms Chap. xo. O/ Mre&King ' civil Cnverfatum and Dfcoutf 337- -PART IV. e//^ ** Qup. i . O/ K^/^V, /^ ftov w^c* tbi>%, that the Knowledg of things by the mind is mare certain The CONTENTS. than what we know by our Senfesjbat there are feme firings of which Mans underftanding is unsalable. The advantage of this necejfary ignorance. 3 &4* Chap. a. Of the two forts of Method, AnalyfiS and Synthefis. An Example of Analyfis 397- Chap. 3. Of the Method of Compo/ition, and particu- iarfy that, which is obfeiJd ly the Geometricians .yj't^vi- 4 9' Chap. 4. A more particular Explication of the forego- ing little s, and firft of thofe that relate to Defintions 411. Chap. 5:. That the Geometricians fee m not to have fight ly underflood the difference between the Definition ef words and things 418. Chap.6. Of the titles in Inference to Axioms 41 ^ . Chap. 7. Certain Axioms of Moment that may ferve for Principle* of great Truth 43 I . Chap. 8. Of Cities relating to Demonft ration 434- Chap. 9. Offome Errors ufuaJlj occurring in the Afe- thod of the Geometricians 437. Chap, i o. An Anfwer to what the Geometricians al- ledgefor thtmfehes 4-4-7- Chap. u. The Methcd of Sciences reducd to Eight Principal tytlcs 4T- Chdp. 11. Of what we knott) hy Faith, whether Hu- man or Divine ? 4 5- 1 . Chap, i 5. Certain Rules for the Guidance of Kfofon t the belief of Events that depend upon Human Faith 45-6'; Chap. 14; An Application of the preceding tyife to the Belief of Miracles 461. Chap, The CONTENTS. Chap, i 5*. Other Remark a fan the fame Suhiebi, of ^tbe tirief of Events 468. Chap. 1 6. Of the Judgments we ought to make of Future Accidents LOGIC THE FIRST DISCOURSE; Shewing the DESIGN OF THIS New Logic. HERE ij nothing more worthy of B Item, than foundnefs of Judgment, and an exaa meafure of Wit to diicern be- T it iw UHC-crn DC- r,cuL f *r5f? and falfli d - A " * e * faculties of the Mrad are of fingular ufe, butex- aa n dsofReafoni.univerfally profitable upon aH it Tno" S o n i ni i n TheSc- e employi r e . ms ofLi ^ ?<* Afeir. and Adtions both of 'the Body md" Mind! wh,ch are the Subjea, ot Human Difcourfe. Ther= sery one a iignal difference, while fornc are rue and feme are falfe and therefore it belongs to " &dvantag e, of Lfi things 5 wteh at lealt h ^ ff Men chat it i. left "" the ofaibe to in For if end, they Barren Sciences. Th ^ Bg Firfl Dijcourfe. ^ The hidden Secrets and Myfteries of thofe Art- are not on y of fictle profit, but altogether u?etrf,f ^ C n For r M m nly " the f e1 ^ for them- ves. For Men were not born to employ their tiofc.il meaning Lines, in examining the pro- >oion of Angles, or confidering the different Mo- tions of Subftance Their Souls are too lofty, their Life too fliort the,r T . f n " ovui are coo lot Life too fliorr, their Time too precious, felves about fuch petty Objea*. But they ". obliged tobejuft tobe upright, to be judicious ia Aff^ lr ?. lf "" rres ' ma]1 th ^'r Aftion S ; an d in M Affairs which they undertake. of J udgm en t) i, be adn , re others: For em 7 where we meet with none but wandnng Llnderftandings, uncapaWe of dSnine Truth, whomalithingstakeawrongCourfe who tofy chemClve, with corrupted Reafons, an'dS would ,mpole the fame upon others; who fuffer themfelves to be led away wi.h the fmalleft & :nces ; who are always i Exceffes and Extremes hc wantfufficient ftaidnef, to preferve tS ' :pnftanttothe Truths which they know, aTadh .ng thereto, rather by hazard than found and j u di- SSfiS .^f^ 1 . 00 "'^. continue f^ob- nate y hxd ,n thar Opinions, that they wi'l not .mucnas ,ften tothofc that could undeceive them 'ho boldly decide and dtrevmine ArguS h,ch tneynother know nor imJc^nd, M^ nrver yet underlfood bv =rv ;hcr: Who maie The Firft Difcourfe. make no difference at all between Speaking and Speaking ; or only judge of the truth of Things by the Tone of the Voice : He that talks fmoothly and gravely, ipeaks Reafon ; he that cannot readi- ly explain himfelf, and feems to be in a hear, mud be in the wrong ; and more than this they know not. j. . Which is the reafon that there are no abfurdities how infupportable fbever, which do not find their Champions. He that has a defign to Deceive the World, (hall not fail of Perfons as ready to be gull d, and the moft ridiculous Fopperies {hall meet with Under (landings proportionate to their Folly. And indeed we ought not t wonder at any thing, while we findfb many People infatuated with the Foole- ries of judicial Aftrology, and Perfons of Gravity Jo ferioiifly handling that Subject. There is a cer- tain Conftcllation in the 'Firmament which feme i\fcn have been pleas'd to call a Ballanze; as like a Ballance as a Wind-Mill, and all one. This Bal- % face they cry, is an Emblem of Juftice, and all that are bom under that Conftellation (hall be upngnt and juft. There are three other Signs in the Zo- diac which they call, theoncalfcw, the other a Bull, the third a Goat ; and which they might as well have called an Elegant, a Crocodile, or a Ityf- noceru. Now the J^, the B//, and the Goat are Beafts that chew the Cud; and therefore they that r ke Phyfick when the Moon is in any pt thele U>n- Itcllations, (hill be in danger to vomit it up again. Thcfc arcftrai^c ~ -- The Firfl Difcottrfe ved I M d worfe managed. There are few ofTfe hofe bound, wh,cl: .are proper fortheirCa- ..- r..-y, ^ajnrmgemftomnwdling.witb ,ho hmgs of wh,ch they are uncapable. NevcrthlkH CB very true, that the greateft part of theWaciot' Vgmem, among Men proceed' notfrom ,h s Pri ' Sto? bC ' ng , ra , ther u ' d >>yl precipitation of the Bra n, and through -defca of Confideration e ;t rr to ^WS3Sr qr only know obfcurely and confufedl/ P 3 Th^ The Firft Difcourfe. The little regard and love of Truth in Men, is the Reafon that they take fo little pains, the chiefefl: part of their time, to diftinguim what is true from what is falfe. They admit into their Breafts all forts of Difcourfes and Tenents, rather chufing to f uppofe them to be true, than to examine 'em. If they underftand them not, they are willing to be- lieve that others do. And thus they load their me- mories with an infinite number of Falfities, and af- rerwards argue upon thofe Principles, never confi- dering what they fay, or what they think. Vanity and Prefumption alfo contribute very much to this Mifcarriage. They think it a frame to doubt, and not to know ; and they rather chufo to talk, and determine at a venture, ^ than to ac- knowledge their not being fufficiemly inform'd to : ,cge aright. Alas ! we are full of Ignorance and Error 5 and yet It is the mail difficult labour in the World to draw from the Lips of Men Rich a ConfeP Con as this, Ianat*JlnJ, lam at.aftawl', though fo juft and fo conformable to their Natural Condi- tion. Others there are, on the other fide, who not having wit enough ro know that there are a thou- fand things full of obfcurity and uncertainty ; and yet out of another fort of Vanity, dcfirous to lei the World fee that they are not fway d by populai Credulity, take a pride in maintaining that there is nothing at all certain. Thus they difcharg< themfelves of the trouble of Examination, anc mifguided by this evil Principle, they queftion thj The Firfl Difcourfe. 7 moft conftant Truth*, even of Religion it felf. This is a Source of Pynonifm, which is another Extravagance of human Wit 5 which, though ic appears jquire contrary to the raftinefs of thofe that decide and determine all things, flows neverthelefs from the lame Spring, that is to fay, want of Ccn- fideration; For as the one will not take the pains to find out Error, the other will not be at the trouble to face Truth with that ftedfaftnefs which is requifite for convincement. The leaft glimmer- ing fuffices to make the one believe notorious Falf- hocds ; and to the other is a fufficient fatisfoclion to make 'em queftion the greateft certainties. Bur as well in the one as the other ; it is only want of Induftry thatproduces fuch different Effects. True Reafon places all things in their proper Sration. She caufes us to fcruple ail things that are doubtful, to reject what is falfe, and ingeni- oufly to acknowledge what is clear and evident ; without contenting our felves with vain Arguments of the Pjrronians, which do no way deftroy the rational Aflurance we have of things certain, not in the very Judgments of thofe that propofe 'em. No Man ever ferioufly doubted whether there were a World, Sun and a Moon, or whether the whole were bigger than its part ? Men may outwardly lay wirh their Lips that they doubt fach a thing, . but they can never affirm it m their hearts. There- fore Pyrronifm cannot be call'd a Sect of People that are perfwaded of what they -aver, but a Seel: of Lyars. So frequently tinting, theArtofNumbnng; fince no Man fuppo- o be an Art to Paint ill, or miftake in calling Accompts. There is another Objeaion againfl that multi- tude of things drawn from other Sciences dilcours'd of in this Logic. Which bccaufc it affaults the whole The Second Dtfcourfe. whole Defign, and gives us an occafion to explain our felves, it is neceffary to examine with fo much the more care. To what purpofe, fay they, al this motley, variety of Rhetoric, Ethics, Ply fa Me- Mftfezfa and Gwwe/9 ? When we thought to meet only with Logical Precepts, we are tranfported ofc a fuddain into the Upper Region of the moft lofty and notional Sciences, before the Author know whether we underftand them or not. Rather ought he not to have confider*d, that if we had all thole Sciences already perfeft, we fhould have no need of his Logic ? And had it not been better for him to have given us a plain and down-right Logic, with Ruks explain d by Examples drawn trora common Things, than to encombcr them with perplext and intricate Notions. L But they who argue thus, have not furhciently confider'd, that the greateft difad vantage to a Book is, not to be read , fince it can only be ferviceable to thofe that read it. And fo whatever contributes tocaufe a -Book to be read, contributes to render it uieful. Now it is certain, that had 1 gratified tli Fancies, and made a dry barren Logjc with the ufual Example of AmnuA and Horfc, how exaa fo* ever and -methodical it might have been, it wou have only augmented the number of fo many other Boob, of which the World is full, and which are therefore never read. Whereas it is this i CoUecli- on of different Things that has procurdthe Sale . this, and caus'd it to be with lefs annoyance and d-iftaft than others, IN ever- The Second Difcourfe- 2,3 Nevertheless this was not the principal Aim we had in this mixture ; for we are apt to believe we have follow'd the moft natural and mod ufeful way of handling this Art, by applying a Remedy, as much as in us lay, to an inconvenience, that ren- der'd the Study of it almoft Fruitlefs. The Experience (hews us, that of a Thoufand yonng Men that learn Logic, there are hardly Ten that know any thing of it, fix Months after they have performed their Exercifes. Now the real caufe of this fo frequent either forgetfulnefs or negligence feems to be this, for that all the Subjects treated of ia Logic, being of themfelves abftraded and remote from ufe, the Examples alfb by which they are ex- plain'd are no way taking, and feldam difcours'd of otherwhere ; fb that making no impreffion upon the. Fancy, they are with the greater difficulty re- tain'd in memory, which fuddainly lo/es all the Ideas it had a while ago conceiv'd. Moreover finding thefe common Examples not fufficient to prove that the Art it felf may be ap- %'d to any thing ufeful, they accuftom themfelves o immure Logic within it felf, not fuffering it to :xeend any farther ; whereas Logic was invented o be Serviceable, as an Inftrument to the reft of he Sciences j fb that having never feen irs true ufe, hey never make any ufe of ir, but are glad to be id of it, as of a mean and unprofitable Know- Jdge. . For remedy of which Inconveniency, we thought the beft way not to feperate Logic, according to the 2,4 The Second Dtfcoitrfe* the ulual Cuftom, fo far from the reft of the Sci- ences, for the Service of which it was defign'd, but to join them together both the one and the other by the means of Examples drawn from folid Rea- ding, (hewing at the lame time both the Rules and the Practice, to the end that fo the Scholar may learn to Judge of thole Sciences by Logic, and re- tain Logic in his Memory, by the help of the Sciences. So that this Variety is Co far from being a mean? to darken thefe Precepts,that nothing can contribute more to brighten and explain them j for of them- (elves they are too fubtil to make any Imprefliori upon the Mind, if there be not (bmething to make them pleafing and acceptable to the Fancy. Therefore to render this mixture the more ac- ceptable, we have not borrow'd Examples at a ven- ture from thole Sciences, but have made choice of the moft important Points of Truth, and which might be moll ferviceable to the Rules and Princi- ples to find .out the Truth in othe^Matters, which could not be handled at the (ame time. For Example, as to what concerns Rhetoric, we confider'd that there is little advantage to. be drawn from that Artjfor the finding out of Thoughts; Expreflions and Embellishments. Our wit f urnilhe? us wich Thoughts ; Ufe affords us Exprenlon, anc for Figures and Ornaments they are many times fuperfluous , 16 that all the Benefit from thenc< confifts in avoiding certain evilHabirs of Writing and Speaking, elpecially an Artificial and Rhero lica rica! Srilc Second Difcourfe. , Vice, in anOrTtor? |Thf ?' Ubl of knowing and "fvo'id^rhoi '"n'Ti 1 ' " for the ^3 h /-'*"S"i;^ sfiaSass^WSRS SSS^%&2 SHS?SjiiS mark'! ouTgjf^ S MI de wherefn are illi S theprincij __ The Se cond V/fcourfe. Gri and ,;/, in l^ft ^ astbin jttet c- ther Chapter of fallacious arguing that happen til Converfe, that Men may lee the large ex^n of it, and how it conduces to difplay a great pare of human Irregularities. There is nothing in rable than the Original of our too,, peration of Spiritually from Forms ; The diftinaion of the Soul from the Body, and the Proofs of its Immortality founded upon that chftm- dion. All which things are largely handled in tl Fitjl and Fourth Part. In feverul Places alfo occur the greateft part ot the general Principles of P^c, which lit wiU be no difficult thing to Collea together. From whence the Reader maybe fufficiently enlightned m what ismoft proper to be known concerning Pondcro- lity, the fcnW Qualities, the A&fa, theSences, ,Vie attnidlivc Faculties, the occult Vertues, fub- ikntial Forms, fuffici^t to undeceive us of an in- numerable Company of falfe J*, which we fuck'd in from our Infancy to the prejud.ce of 'Not that I, however, becauft here are many things to be Uarn'd, would have the Reader neg- kcl tuch Boo^s a.cxprcily treat upon thofe Sub- iefts, which are therefore carefully to be ftudy A But we have coniidered that there are certain Per- fons, who may think this general and curiory Knowledge of the Sciences lufficient ; ana lo it may be perhaps to thofc thai never intend to devote them- The Second Difiourfe. affirmation, unkf it hf n V y '" in their For as for rf L L? fere 'o Geometry. by to 83 2,8 The Second Dfawrfe. us clear J&uand Proportions not to becontrover- For Example, fpeaking of reciprocal Proprie- ties, we hare affirmM, that there is fuck a Proprie- ty in Reftangle Triangles, where the Square ot the Htfotenufe is equal to the Squares of the reft ot the fides. Which is clear and certain to all that under- ftand it : They that do not apprehend it, may fup- pofe it to be fo; nor will they for that the lefi ap- prehend the thing it felf, which the Example is brought to prove. A^ain, if we had been to produce the common Example of Hifiiliy, which is the reciprocal Pro- priety of Man, certainly we had proposd a thing not only very obfcure but very much controverted. For if we underftand by Ability, a power ot con- rrafting and dilating the Lips, I know not why we maynotteach Beads to imitate thofe Motions ot the Lips ; andfome we know there are that do to. But if we include within the f>gnification of this word, not only the change of the Countenance, but allo the Thoughts that accompany and produce it ; and fo by 'i$a*Kty mean a Power to Laugh, h tbinhng ; in that manner all human Adlaons may be called re- ciprocal Qual"5 there being none but what are proper to men, if we join them with Thoughts: And thus Walking, Eating, Drinking fell be cal- led reciprocal Qualities of Men; fince one -Mar Walks, Eats and Drinks thinking. Which it granted, we ifhall never want Examples of recipro- cal Proprieties 5 which ha^'ever will never fansfie The SeconJ Difcourfc rhofe, who attribute may as well allow Mind, though the Imagination cannot from denneation of ir, be fo diftind as to difplay T pneue, Curforily alfo wealTerted that one of Propnet.es of this Figure was, that all thefeAngt were eual to It remains that w e clear our fe! ra from an en- n 0raP K a ' m 't 3 ' f me Pcrfo " s ha " ** Us that we have taken out of ArtfaV, Ex of vitious Definitions, and ill cl* Ar" tanons ; which feerm to be donrouf ofa But tff hV^ 7 the Per!patet '' C Ph f " ''> But they had never pronounced fo bf '- C nerf "1 o obferved , c.tmg Examples of Errors, which however we haveadhered to in quoting^ firy?, Expenence ihews us, rh thofe which ga z propos ^ are f iittie r n ^ h to be remembred, as being fram'd at plea- C 3 fiire: 30 Tke Second Difcourfe. fare j befides that the Errors are fo palpable and fo vifible, that a Man would- think it impoflible to tumble upon them. Therefore it is much more t.-i the purpofe, to the end that what is faid con- cerning thofe Errors, may be the more deeply re- tain'd in Memory, and the more eafily avoided, to felect fome notable Example of the Errors, into which fome celebrated Author has already fallen. For finding the Reputation of great Men not tree from noted flips, we are incited by Care and kciuflry to preferve cur (elves from the like Sur- prises. Moreover feeing every Man is bound to make :.c writes as profitable as may be, therefore of fet-purpoie thofe Examples of Errors are to be produced, of which it moft imports us not to be Ignorant. For .it would be an endlefs Toil to re- member all the dreams and trifles of Find, Vanhcl- w.cnt an.d Paracelfns. And therefore it is better to (earch Examples in Famous Authors, whole Errors il may be worth while to unclerftand. Now. all this is to be found in Ariftotle to a Hairs Breadth. For nothing can fo effedtually perfwade a Man to avoid a fault, as to mew that fuch a a Man as he, ftumbled at the fame Block, And bij Philofbphy is become fo famous through the vafl number of deferving Perfons that have em- braced it, that there is all the Reafon in the World, his Defers ftiould be expos'd. Which being fo, we thought it would be worth while for the Rea- der to take a review of the Maxims of the Peripa- tetic Ike Second Difcourfe. 3 1 tetic Philofophy, yet becaule it is never good to be deluded, thofe Maxims are fo proposed, that wha? they are may be eafily known, as having curfb- rily marked out the Defers,- for farther detection of their Fallacies. Which we have not done to leffen the Reputa- tion of Ariftotlc, but rather to do him honour as much as may be done by . thole that differ in Opi- nion irora him. And 'tis vifibk in other placer* that the points which arc tax'd of Errors, arc of no great Importance, nor (hake the Foundations of his Phiiofbphy, which we had no Intention to aflaii. But if we make no mention of thofe things wherein Anftotle has excelled in Several of his Book% the Reafbn was this, becaule the Series of the Dif- courfe did not afford an Opportunity fo to do which however we would willingly and gladly have done, if Occafion had offered ; nor had A- riftotle wanted his due Applaufe, who, beyond all Controveriie,wa3 a Perfon of a capacious and fearch- ing Genius, upon which he relying, has linked together long Chains of Confluences in fucl^ Mat- ters upon which he difcourled : And therefore he has been very Prqfperous in what he has written in the Second Book of his Rhetoric concerning the PaiP fions. Egregious alfb are his Notions and Ob- fervations which he has delivered in his Politics, his Ethics, his Problems, and his Hiftory of Ani- mals : And as confufed as his Analtics are, yet we muft confefs that almoft all we know concerning C 4 the' The Second Difcourfe. the Rules of Logic, is taken trom (hence; fo that there is nor any Aurhor from whom we have borrowed more than from Ariftotle in this Logtc 5 as one to whom the Body of the Precepts belong. True it is, that the moft imperfect of his Work ftems to be his Phyfick?, as being alfo that which for a long time as been condemn'd and forbidden by the Church, as a Learned Perfbn has made appear in a Treatife written to that purpofe; though the principal Fault of it was not that ic was Falfe, but that a was too True, and taught Ftothing but fuch Things as could .not be con- cealed from our Knowledge. For whoever doubt- ed but that all Things were compofed of Matter, and a certain Form of Matter ? Whether Matter being to put on Form did not want it before, that is to fey, whether it did not fuffer Privation ? Or whoever queftion'd thofe other Principles of his Metaphyficks, wherein we are taught that all Things depend upon Form ; that bare Matter is void of Action ; that there are Place, Motion, Faculties and Qualities : But after all this, we do not feem to have learn'd any thing new, or are we more able to give a Reafon of any of Nature's But if there be any Perions, as many there are, who believe it a Crime to d'flent from Ariftotle, ic will be no difficult thing to make it appear how far remote from Reafbn (uch a vain Affertion is. For - - rke Seco d Vjfrvurfe. For if we are oblig'd to Rever*n/v- k \/r of fane PhHofophersf that ff on^or tt & J^^-^rfH-lU^ro have adhered, or for the Reputation which thev have acquir'd among the Learned For the fake of Truth we Rerer-ence them, when of And the aon _ s .cau in cotr General,^ we may bejuftljr fcfpeaed F t,on as beheving our fd4 more than (b many ether?. But when the Learned World is d.VWed in ' of Reputation appear on both fides, We not thetrob ,ged to that Refervcdnefi, and w *c con- And now behold tl,e true Condition or M Me h, s Day H,s Phitofophy has experienced bo.-h Fortunes, fomet.mes exploded and cordtmned by, a otberwMe received and . by all 34 T^ e S econ d Difcourfe. At this Day it is reduced into a middle Condi- tion between the two Extreams. In France, Flan- ders, England, Germany and Holland they Write fre- quently for, and againfl:, Artftotles Philofbphy. The Parifian Conferences as well as their Writings are divided, into Two Parts ; nor. does any one complain of this open War, declared againft hirru The moft famous Profeflbrs no longer condemn themfelvesto that Slavery of blindly receiving and maintaining whatever they find in his Books, and fome of his Opinions are utterly exterminated ; for what Phyfician will now maintain that the Nerves proceed from the Heart, as Anflotle belie- ved,, fince Anatomy clearly demonftrates now, that they derive their Original from the Brain, ^hence proceeded that laying o( St. Auftin. Jduitxfunfto cercbri & quafi Centra omnes Stnfw diffudit* . Who diffwd all the Senfes from the Point, W, at it'. Mere, the. Center of the 'Brain, And what Philofbpher dares be (b obflinate as to affirm, that the.fwiftnefs of ponderous Things descending, encreafesproportionablytothe propor- don of their Weight ? When any Man may end. ?his difpute, by letting two ponderpus Bodies never .:".') unequal in proportion, fall from a high place , iVt what time he fhall find very little difference in, 'ihe fwiftnels of their Motbn, All things violent are of fhort Continuance-,, all Extreams are violent. 'Tis very hard prolcribe all Anfotles. ^ Opinions, as tor-- mgrljj The Second Difcourfe. " that alt that is to be concluded, when P inf **n t from; , that we do not confent m others: much- * that we have any Averfion againft them ' fek to Degrade or Lcfie B their wSrtl, And 'y . modeft procedure of ours, we hope, will bean Proved by , tt juft Judges, 'and thatVy In ac 3 6 The Second Difcourfe. knowledge, that there is nothing in the whole World, but a fmcere defire to contribute to the publick Good, as Far as lies in the power of a Trea- tife of this Nature, without Pafljon or Hatred a- gainft any Perfon liviog. &OGIC: 37 LOGIC: OR, THE ART THINKING. L3 G I C is the Art of well ufing Reafon in the Knowledge of Things, for the Inftru- clion as well of a Man's felf, as of others. This Art is derived from the Reflexions which Men have made upon the Four Principal Opera- tions of the Mind, Apprehenjion y Judgment , Dif- eourfe and Difpofition. We call 4pprekenfion the fimple Contemplation of Things that prefent them/elves to the Mind, as when we confider the Sun, the Earth, a Tree, Ro- tundity, a Square, Cogitation, Entity, pronoun- cing nothing exprefly concerning them ; and the Form under which we confider them is called an We, 38 Logic ; Or, We call Judgment, that Aion of the Mind, by which aflembling together feveral Ideas, we either deny or affirm This to be That. Thus confider- ing rhe Idea, of the <*&, and the Idea afctytfait we affirm or deny the Earth to be round. Difcourfe we call that Operation of the Mind, by which out of: feveral Judgments we frame another : Thus when we have judged that true Vertue ought to be referred to God, but that the Pagans did not refer it to God ; from thence we infer, that the Vertue of the Heathens was not true. We call Diffofition that Adtion of the Mind, by which we range various Ideas, Judgments and /fci- tiocinations- upon one and the fame -Subject, in that Order which is moft proper for its Explanation ; and .this by another. Name, we call Method. Thefe Operations proceed meerly from Nature, and that fometiraes more perfectly from thofe, that are altogether ignorant of Logic, than from others that have learn'd it. So that it is not the bufinefs of this Art to find out the way to perform thefe Operations, for that we have from Nature alone, that has given us the Ufe of Reafon, but ra- ther to make certain Animadverfions upon thofe Things which Nature her felf operates in us, which may be of a threefold life to us. Firft, we are thereby allured, that we make a right u(e of our Reafon. For rhe Confideration of Rules begets in us a more fervent Application aad attentive Induftrf of the Mind, Thd The Art of Thinking. 39 The Second is, That thereby we more eafily de- left and explain the Errors and Defe&s, which we meet within the Operations of the Mind. For oftentimes it falls out, that we difcover by the mecr Light of Nature the Faults of Ratiocination, yet are not able to give a Reafon why it is falfe. Thus they who know not what belongs to Paint- ing, may take Exceptions at the Defeats of a Fi- gure ', though- they are not able to tell the Reafon why they find fault. The Third is, That we are brought to a more accurate Knowledge of the Nature of our Under- ftanding by thele Reflections upon the Operations of the Mind : Which, if we look no further than meer Speculation, is to be preferred before the Knowledge of all Corporeal Things, which are in- finitely below Spiritual Confiderations. Now fuppofing thofe Things, which we revolve in our Minds, in reference to our own Thoughts, were only done with refpecl: to our felves, it would fuffice to confider them in themfelves, not cloathed with Words or any other Signs: but in regard we cannot anife(l our Thoughts to others, but by the Benefits of exterior Marks : And for that this Cuftom is fb prevalent, that when we medi- tate alone, the Things themfelves do not prefent themfelves to our Thoughts, but in the cloathing- of thole Words by which we exprcfs them to o- thers, it is neceilary for Logic to confider Ideas join'd to Words, and Words join'd to Ideas. And 40 Logic : Or, Part I. And thus by what we havefaid it follows, That Logic may be divided into Four Parts, according to the feveral Reflections which we make upon the Four Operations of the Mind. FIRST PART Containing Reflections upon Ideas, or upm the frft Operation of the Mind, ivhzch is called Apprehenjion. SINCE we cannot have any Knowledge of what is without us, but by the afliftance of Ideas which arc within us, what we {hall difcourfc of Ideas may be thought perhaps to be the mod im- portant part of Logic, as being the foundation of all the reft. We may reduce thefe Reflections to five Heads, according to the tive ways of conlidering Ideas. i. According to their Nature and Original i. According to the principal difference of the Objects which they prefent. 3, According to their being fmgle or compound ;, where we (hall treat of Abftrattion* and frectjwns of the Intellect. 4, According to their Extent or Reflection ; that is to fay, their Univerfality, Particularity or Singularity. y. According as they are clear and obfcu re, di- fiinft or confuted;. CHAP. Chap I. The Art of Thinking. 4I C H A P. I. Of Ideas, according to their Nature and Original. HT HE word 7*4 is of the number of thofe words * t whtch are fo clear, that they need noc to bt So that all that can be done in this cafe, to a- vod Errour and Miftake, is to obferve the falfe Notions and Interpretations that may be attributed to this Word ; while fome make ufe of it only to jmhe that manner of conceiving, which is per- formd by the application of the Mind to thofe Form, ; that are depainted in our Fancies, and is call d Imagination. Lci Or, between Imagination and perfect Undemanding. As for Example, when I imagine a Triangle, I do not contemplate it only as a Figure conhftmg ol three Right Lines ; but I alfo confider thole three Right Lines as prefent, by the force and internal Application of the Mind ; and this is properly w imagine. Or, itl would thipk of a Figure with aThoufand Angles, I prefently apprehend that it is a Figure confiding of a Thoufand fides, as eal ly as I apprehend a Triangte to confift of three Sides; but I cinnot imagine the Thoufand Sides ot that Figure, nor behold them as being prefent, with the Eyes, as I may fo fay, of my Mind. Nevenhelefs, 'tis very true, that the daily pra- aice of Imagination, in apprehending Corporeal Things is the Reafon, than oft-times, when we imagine a Figure of aThoufand Angle?, we torn in our Thoughts tome confufed Figure or other. Buc it is evident, that the Figure thus formed by the Afliftanceof Imagination, is not a Figure of a Thou- fand Angles; as nothing differing from that Form, which any one would frame in his Thoughts, were he to imagine a Figure of Ten thoufond Angles ; as alfo for that it is no ways ferviceable to difcover the Proprieties that made the difference between a Figure of a Thoufand Angles from any other P- And therefore I cannot properly imagine a Fi- gure of a Thoufand Angles, for that the Figure which I would frame in my Imagination woiM re- prefent to me any other* Figure with a great Num- ber Chap. I. The. An of Thinkiw. 44 Logic : Or, Part I. felves the Idea of the thing fignified by our words; though that Idea may happen to be (ometimes more plain and diftin& ; fometitnesmore obfcureand con- ius'd, as we (hall declare hereafter. For he would contradict himfelf that (hould affirm, he knew what he meant by the wo'rds which he pronounces ; and yet at the fame time that he pronounces them, fiiould underftand nothing but the found of thofe words. And this is that which {hews us the falflty of two Opinions a broached by the Philofophers of thefe Times. The firft is, that we have no Idea of God. For if we had none, in pronouncing the word God, we ftiould apprehend no more than the three Letters G, O, D, and he that only (peaks Bngli/h, would have no more in his Thought^ when he hears that word pronounced, than if he fhould come into a Synagogue, not underftanding a tittle of Hibretv, and hear the Names of God, Adonia or E/ohim. Moreover when Ibme Men would be called Gods ( which was the Frenzy of Caligul* and Domitian ) there could be no Crime of Impiety laid to their Charge, for that there is nothing in the three Let-| ters G, O, D, or the two Syllables De-its which may not be attributed to a Man, abftra&ing the Ideal from the word : For which reafon the Hollander was! never tax*d with Impiety, who cali'd himfelf Lud*-\ vicvs De-ut. What was then the Impiety of thofe Princes, but that they left at lead a part of its i Idea to the Word Dew, fo that it fignified that tran- (cen4dent and adorable Nature of a Deity, and ap- 46 Logic : Or, Pare I. ' We are willing to believe, that thefe Word? contain an Obje&ion far remote from the Sence ot the Propofer ; but in regard that being fo Dogma- t ically exprefled, they ruin the Immortality of the Sou), it will be of great Importance to lay open the Fallacy of the .Objection j which it wilrbe no difficult thing to do. For the Covenants, of which the Philofbpher (peaks, can be no other than the content of Men, to take certain Sounds for Signs of thofe Ideas exifting in our Minds. So that if we had not befides the Names, the Ideas of Things in our felves, thofe Covenants would have been in> poflible j as it is impoflible by any fuch Covenant to make a blind Man underftand what is meant by the words, %eJ 9 Grem or Blew. For not ha- ving thefe Ideas in his Mind, he cannot join them to the Sound. ( Moreover feveral Nations having given different Names to Things, even to thofe that are moft ap- parent and Gmple, as are thole which are the Ob- jects of Geometry, they could not difcourfe in the lame manner of the fame Truths, if Difcourle were nothing but a Connexion of Names by the Word, Eft, it is. And fince it appears by this variety of words, . that the Arabians ( for Example fake ) do not a- gree with the Englijh about the fame fignification oF*- Names, fo could they never agree in Judgment oc * Difcourfe, if their Difcourfe depended upon that Covenant; J Laftly.l Chap. I- Tke Art ef Thinking. 47 Laftly, when we fay, that the fignification of words are Arbitrary or ad placitum^ we ftick deep in Equivocation. For it is true, that it is a thing altogether Arbitrary to join this Idea, to that Sound, rather than another. But Ideas are not Arbitrary things that depend upon our Fancy, more efpect- ally thofe that are evident and diftinft : Which that we may make manifeft we lay, that it would be very ridiculous to think that real Effects could de- pend upon things purely Arbitrary. Now when a Man has concluded by his Reafbn, that the Iron Axel that pafles through the two Mill-ftones of a Corn-mill could turn about, without turning the lower Mill-ftone, if being round it pafs'd through round hole ; but that the fame Axle could not jrn, without turning the upper Mill-ftone ; if be- g fquare, it were faftned in a fquare hole of the jper Mill-ftone 5 what he has undertaken to prove ndeniabiy follows. And by conlequence this DIC- nirle is not a Connexion of Names according to a ovenant entirely depending upon the Fancy of len ; but a folid and conclufive Judgment of the am re of Things, by the confideration of Ideas, hich Men have been pleas'd to denote and fignifie certain Names. Thus much as to what we underftand by the /ord idea; we are now to fay fbmething concern- g their Original. And now the Qiieftion is, whether our Ideas oceed from the Senfcs, and whether the ccm- Maxim be true , There is nothing in the Intelkft, not firft m the Scnfe. This 4& Logic : Or, Patt I. This is the Opinion of a Philofopher of Greac Reputation in the World, who begins his Logic with this Proportion ; Every Idea derive* its Original from the Senfes. He confefles however that all Ide- as are not the fame in our Senfes,as they are in the s\UnJ.Eut he pretends that they were at leaft form'd out of thofe that paft through our Senfes, either by competition j as when out of the leparate Ideas at Gjefc And this is called the Subftantive ab- ftra&ed, as Humanity, Corporeity, Rfa/on. Neverthelefs, it is of great Importance to diflin- guifh that which is truly the Mode from that which only fcems to be To, for the Confounding of Manners with Subftance?, and Subftances with Man- ners is the chief ground of all our Errors. There- fore the Nature of the true Mode is fuch, that the Subftance of which it is the Manner, may be clear- ty and diftin&ly conceiv'd without it ; but the ftianner cannot be alternately clearly conceiv'd ; un- lefs the Relation which it has to its Subftance be as readily apprehended, without which it cannot natu- rally exift. Not but that we may apprehend the Manner, without fuch an exact and diftinft confideration of the Subject. But that which demonftrates that the Relation of the Manner to the Subjeft, is conrain'd, at leall, confufedly in its Conception ; becauie we cannot deprive the Manner of that Delation, but that we muft deftroy the Idea of it at the fame Time. Whereas when we Conceive two Snbftances, we may deny one thing of the other ; yet never deftroy the Ideas of either. For Example, I may deny Prudence, without confidering the Man who is prudent ; but I cannot ' conceive Prudence, and at the fame time deny tn*? Relation which it has to Man, or any other intelii- 1 gible Nature capable of Prudence. Con-1 Chap. II. The Art of Thinking. 5- 5- Contrariwiie, when I confider what appertains to an extended Subftance, which is called a Body, zs-Extenfo*, .Figure, M&ilitj, DiviJ&i/ity, and on the other fide whatever belongs to the Mind, as Think- ing, Doubting, Memory, Will, Difcourfe, I may deny all that of the Extende4 Subjlance, which I con- ceive belongs to the Thinking Stance, and yec diftin&ly apprehend the Extended Subflanee, and all th Adjuncts that belong to it. And I may recipro- cally deny of the Think^ Stance, whatever I ap- prehend of the Extended Subfttncc, without con fide- ring what I have conceived of the Thinking Subftance. Which alfo proves, That Thinking is not the Man- ner of the Extended Subjlance, becaufe that Bx ten/ion with all the reft of the Attributes belonging to x- tended. -Sub/lance may be deny'd of Thought, and yet a Man may rightly apprehend of Thinking. It may be here farther obferved, That there are fame of thefe Modes or Manners, which may be calPd Jntrinfic becaufe they are apprehended to be in the Subitance, as round or fquare j others may be (aid :o be Extrmjic ; becaufe they are taken from fome- hing which, is not inherent in the Sub/lances ; a skvsd, feeu't defied ; -but theft things depend upon 3 he Actions of others. And thefe forts of Modes or Mowers, are called in the Schools, Extrinftcal Deno- minations. But if thefe 'Modes are taken according to the Manner whereby Things arc apprehended, hey are called Second Intentions. ThusVo be Sul>~ tfted, to be Predicated are Second Intentions, becaufe bey are the Manners whereby the Things rhemfelves D A, ar^> 5 6 Logic : Or, Part I. are apprehended, as they are in the Understanding, conjoining two Ueat, affirming one to be the other. It is farther to be cbferv'd, that there are other Modes which we may call Sub/tanttabt becaufe they rcprefent to us true Subftanccs applied to other Sub- flances like to Manners j of which fort are Cloatb'd, Arrnd^ &C. There are others which we may call fimply ^/, and thefe are the true Manners, which are not Sub- flances, but Manners of Subftance. Laftly, There are others which we may call Ne- gatives, becaufe. they represent the Subftance to us, with a Denial of fbme real or fubftuntial Manner. Now if the Objeh represented by thele Meat, whether Sitt>ftances or Manners, are really fuch as rhey are reprefenred to us, we call them true. If nor, they are falfe Ideat^ in fuch a manner as they may be. And thefe are they which in the Schools are called Entia Hatione!, Entities of %4/ow, which h.ippen for the mod part when the Mind conjoins rwol p. unded of two Ideas of a Mountain and Gild, which the Mind rrprelcnts as conjoiad, when really they are not fo. CHAP. Chap. III. The Art of Thinking. 57 CHAP. III. Of AriflotleV Ten Predicaments. - HTO this Head of the Objects of Mas, the Ten Predicaments of Anftotle may be reduc'd : as- being but Several Gaffes, under which that Phiiofo- phercomprehended all the Objeas of our Thoughts - comprehending all Subftances under the Rift, and' all Accidents under the other Nine Cojoref SttrfjS " ^ ??*"* <* *' j MIC lecond ^Quantity, which is either- Wrnt, when the Parts are divided as Numbers - UrO^;W when the Parrs are conjoined, and then either fucceflire, as T , me an d Notton or P roanent, wh,ch by another Name is called Space or Extension m Length, Breadth and Profund^y Length alone making Lines, Length and Breadth making furface, and all together caufmg S*M Thud ^U^ of which.^,)?^ makes Four^ B. Body, acqu.r'd by the The Second Nvmal At.li,, f uc h as are the Fa- f ,T S f t SOUl rBod ^ 'heUnderftandJng, 'fi |, the Memory, ,he Five &nfe s , SwifrSfs of D - 'The 58 Logic : Or, Part I. The Third, Senfible Jgualitits, as Hardnefs, Soio nefs, Ponderofity, Hot, Cold, Colours, Sounds, Odors, and feveral forrs of Rcliflies. The Fourth, Form -and Tigitre , which is the ex- trinfecal Determination of Quantity , as tyund, Square , Spherical) Cubical. Fourthly, Relation of one Thing to another, 'at of father to Son, Mafler to Servant, KJ n g * Subjeft , cf Power to the ObjeS, of Sight to the "Thing viftbls j to which may be added all things denoting Com- parifbn ; as Itkf, equal, bigger, lefs. Fifth, Aftion, either confidercd in its felf ; as to w^ks leap, to knotp, to love ; or externally, as toflrify, to fau>, to break* to manifeft, to bear. Sixth, Suffering as to be firicksn, broken, to le wanifejled^ heated. Seventh, where ', as when we anfwer to Quefti- ons about Place ; He it at Rome, at Paris, in hit Study, or a Bed. Eighth, When we anfwer to Queftions about Time, as when did he live ? a hundred Years ago : When WM this done? Yefterday. Ninth, Situation ; as Sitting, Standing, Lying, lie- Before, upon the Right-hand, on the Left. The Tenth, the manner of having, ,as to have tny thing about a Man for Cloathing, Ornament, Ar- ' . cr to be Cloa'tid, Adorn d, Ann A, to wear Eree- occ, Tnefe are jnjjjptfia Ten Predicaments form'd for theBirthoffo m;in) -Myfteries, though, to fay tru : h 3 of very little u&, and (b far from rcdbifying of Chap. III. The Art of Thinking* 5-9 of Judgment, which is the Scope of Logic, that they frequently' do much mifchief , and that for two Caufes which it will be worth while to difplay in this place. The firft i?, That thefe Predicaments are things look'd upon as Things grounded upon Reafon and Truth, whereas they are Things meerly. Arbitrary, and whjch have no ground but the Imagination of a Man, that has no Authority to prefcribe Laws to others, who have as much Right as he, to difpofe in the fame, or any other Order, the Ohje&s of Thinking, according to the Rules of Philofophy, which every one Embraces. In a word, the follow- ing Diftic, contains whatever falls under our Con- lideration, according to the new Philofophy: y Menfurn^ quies^ motus^ PqftturA t Figtira, Sunt cum materia CiwElanim Exordia reram. For the Followers of this Philofophy believe they have drain'd all Nature out bf thefe feven Heads. i . Mens, br the Thinking SubftAnce. 2.. Matter^ or the Extended Subilanee. 5, Meafurc or the Big- nefs or Smalnefi of every part of the Matter. 4. Pofition, or Situation one in refpeV of another. ^. Figure. 6. Their Motion. 7. Their Mffttl or flower Motion. The other Reafon 'why .we think this. Series of Predicaments to be pernicious is- this, becaufe it oc- cafions Men to latisfie thefrifelves with the outward': Rind of Words, inftead of Profiting by the whole- fora Fruir, and to believe they know all things, fo they 6o Logic : Or, Part I. they are able to fay by rote certain Names of Arbi- trary Signification, which yet imprint no clear or diftin& Ideas, as we fliall afterwards demonflrate. Here fbmething might be faid of the Attributes of the LuVtfts, Goodnefs, Patience, Magnitude, and the reft. But it is fuch a ridiculous Invention, to think that they are able to give a Reafon of all things by the application of a few Metaphyfical Words, that it is not worth refuting. And therefore a very Modern Author has affirm- ed with great Realbn, That the Rules of AriftotleV Logic are ferviceabl&, not Jo much to discover what we arc ignorant of^ but to explain to others what we know already : But that Lully taught ut to prattle fluent!?, and without Judgment, of that cf which we know no- thing at att. And therefore Ignorance is to be pre- ferr'd far before this falfe Knowledge ; for as Sr. Auftin judicioufly obferves in his Book of the utility of Belief, fuch a difpofition of the Mind is highly to be blam'd for two Reafons : One, For that he mho t's ferfwaded that hs underflands the Truth, renders himfelf uncafable of Learning any more : And Second- iy, becaufe fuch a Preemption and Rafhnefs is a iign of an ill-govern'd and ill-qualified Mind. Opi- nari, faith he, Duos ob res turfiflimum eft, quod dif- fers nonpotejt, quifibijamfe jcire perfuafit, G? per Jg if/a temeritas non Itene affefli Animi fignnm eft : For ihe word Opinari, in the purity of the Latin Tongue,. linifies a difpofition of Mind, that confents too iijihny to uncertain things, and fo believes that he ' k;io\vs what he does not underftand, and therefore ail Chap. IV. The Art of Thinking. 61 all the Philofbphers raaintain'd, Sapicntem nihil O- f inari ; and Cicero blaming himfelf for that Defeft, . fays, that he was Magnus Ofinafor. CHAP. IV. Of the Compaction and Simplicity of Ideas, wherein is difcourfed the manner of know- ing ly Alftraction or Precificn* X 7\ 7E have affirm'd by the by, in the fecond V V Chapter ; that we may apprehend the Mode or Form without confidering diftin&ly the Subflance of which it is the Mode, from whence we take an occafion to explain, what is Abftraftion of the Intel/eft. The narrow Limits to which our Souls are con- fin*d, are the Reafbn that we cannot perfectly ap- prehend things, if a little compounded, without confidering them in Parts, and according to the feveral Shapes that they may receive. Which is thar, which we generally call knowing by Ab- (iraftion. But in regard that things are varioufly cam- pounded, fame of Parts really diftincl, which we call Integral, as the Body of Man, Number, &c. It is eafie thenCe to underftand, that the Mind may con- fider one Part and not another, becaufe thefe Parts are really diftinguifo'd .- But this is not that which we call Jltyrtfiien. Now 6i Logic : Or," ^Part I. Now it wili be, more advantageous ro confider thefe Parts feperarely, to a diftincl: Knowledge of which we can never elfe attain. For Example, the I "Body of Man can be no otherwife known, than by dividing it into all its Parts, as veil fimilar asdiffi-t milar, and by letting feyeral. Names upon every I one. Arithmetic al'fo ftands upon this Foundation. ] For we have no need of Art to Meafure or Compt little Numbers, for, the Mind is able to receive them entire. So that the whole Art confifts in nuni- bring feparately thofe Parts of Number, v/hich be- ing whole we cannot reckon. Foi* as Capacious as the Mind is, it is impoffible for it to multiply two Numbers confiding ,of eight or nine Figure?, with- out a feperate Multiplication of each Figure by it felf. Secondly, we know by Parts, when we apply our felves to one manner, not confidering the Sub- ftance; or to two feperately, which are not how- ever inherent in one and the fame Subject. This is done by the Geometricians, who make a Body extended in Length, Breadth and Profundity, the Object of Geometry. But for the more accurate Knowledge of this, they firft apply themfeives to the Confjderation of one only Dimenfion. Then ] they confider two Dimenfions, Length and &r*t&, ; which they call a Superficies; and laltly all the three Dimensions together, which they call/s/iW Bodies. \ Hence it appears how vain and ridiculous the I Subtleties of the Skeptics we, who endeavour ; in queflion the certainty of Geometry, bscaufe it ; fuppofes Chap. IV. The Art of Thinking. 6j < fcppofss Lines and Superficies that never were tor it does not fuppofe Lines' without Latitude, nor Superficies without Profundity; but it fuppofe^ that Longitude may be confider'd without the con- Deration of Latitude ; which is a thing beyond Controverfie, for in meafuring the diftanct be- tween City and City, we only meafure the Length of the way, not troubling our ftlves about The Breadth. Now by how many the more Manners we divide fhmgs, fo much the more capable we become of accurately undemanding them. Thus we fee ,' Motion, when the determination to what place is not nghtly diftmguifli'd, as well from the Motion as the parts of the Determination, fo long nothing can clearly be concluded concerning the caufes of f^ I -M *%f in * im > which is dne by the help of thiDiftin6to>n, as may be feen in the Second Chapter of Des Cartel-Optics. Thirdly, we know by Abftra^n, *hen the thing ha S> feveral Atrnbures, but we only confider oneV Un f 1 / '^ t^ F r Exam ? le ' J co "^er hat I /M, and by Conftquence that lam he u>hl M Now in this Uca ot WJ fclf-tkin.^, I can nly confider the T/^-r/, ^, not co ^ er/ ,? a /\ ^^%i thiugb in'Aft, My - elf, and the T^T/^ arc one "nd the 4mc; fidfo the I*- which I have conceived of the Per. m Ttnteg will not only reprefent me ^ /,//, but 1 other P./ ttetbi* In the r ame ^^ I confer an Equilateral Triangle, as it is de- fcribed $4 Logic: Or, Part L Icribed in filch a Paper, with all its other deter- mining Circumftances ; that Idea will only repre- lent this Triangle to me. But if I call off my Thoughts from the confideration of thele particular Accidents, and apply my felf to the confideration of this Figure, as confifting of three Lines j the Idea thus form'd will hence more clearly explain the Equality of the Lines ; and thence I become more apt and Skilful to make a Reprefentation of all other Triangles of the fame Nature. If. I am to go farther, and not to ftop at the Contempla- tion of the Equality of Lines, but am to confider it as a figure confiding of three right Lines, this Idea will expfefs all the forts of Triangles. Laft- ly, if omitting the number of the Lines, I only conceive a Superficies bounded with Right-Lines, I fhall form an Idea of Figures confiding of Right- Lines ; and thus by degrees I may afcend to exten- fion itfelf. .For in thefe Abftradions, the inferior degree contains the fuperior, together with fome conjoin'd Determination. Thus I thinly contains the Thing-thinking : Thus an equilateral Triangle con- tains a Triangle, and thus -a Triangle comprehends a Right-lin'd Figure, and the upper reprefents many things fb much the more clearly, by how much the lefs it is determin'd. Laftly, It is manifeft, that by ita benefi; of Ex- traciitn, Comm:n Ideas are produc'd out of Singular, and out of Common ones fliil more Common. By which we are admonlfh'd to proceed to what is to be faid concerning the Vniverfditf and Parneu!arinef.\ of 'Ideas. CHAP, Chap V. The Art of Think ing. 6$ C H A P. V. Of the Umverfality, Particularity and Sin- gularity of Ideas. ALthough what ever exifts be Singular, ne- verthelefs, by the help of AbJlratHons, we may have feveral forts of Ideas, of which fome will exprefs Singulars ; and fuch is the Idea which every one has of himfelf ; others will exprefs many things together, as when a Man thinks a Triangle, con- fidering nothing elfe but that it is a Figure contain- ing three Lines, and as many Angles - y which Idea fo form'd, may fervc for the apprehenfion of all other Triangles. Ideas reprefenting one thing, are call'd Singular and Individual, and their Obje&s are called Indi- viduals ; but they that reprefent feveral things, are called Univerfal, Common or General. The Names that denote the firft^ are Proper Name?, as Socrates, fyme, Bucephalus. Thefe that fignifie the latter Common and Appellatives, as, a Man, a CV^, a Horfe. And as well Vniverfal Idea as Common Names may be called Generical Terms. Note that there are two forts of Generical Term^ one of thofe that are called Vnjvocals, to which the Univerfal ideas are fb tied, that the (amc Name raay agree with feveral Things according to the fame Sound, and the fame Notion that is annexed to the 66 Logic: Or, Parti. the Sound j of which (ore are, a Man, a G/r, a The other is of thofe that are called Equivocate, the Sound of which is the laoie annexed to diffe- rent Ideas, fo that the fame Sounder Word may agree to (eve; al Things, but not according to the fame, but v;.ri jus Ideas which Cuftomhas fubjeted to the Word. Thus Canon fignifies'a great Gun, and Ecclefuftical Decree, and a Rtile^t Art ; for ihefe Significations belong all to different Ideas.' Thefe Vniverfal Equivocal* are of two forts. For various Ideas, fiibje&ed to one Sound',' have either no Relation one with another, as in the Word Canon j or elfe they have fome Relation, as when the Name primarily fignifies one Idea, others no - otherWife than as. thty relate to the firit 7<&vr, as the Caufi t .EffeEl or Sign, and ttiefe- Equivocal* are- called Analogous : Thus Animals, the Air and >/>/, are (aid to be Healthy. Now the Idea firft join'd to the Word, denotes Health, which is proper to Animals; but others- are added, approaching near to the primary Idea, as being the Caufe of Health; and therefore we citll the Air Healthy, and Diet Healthy, becaufe they both contribute to the preservation of Health. Neverthelefs, when we hear fpeak only of Vni~ ^ ivrfal Terms, we underftand Vnivocals only, with the Vniverfal-McM annex'd. But among all thefe Vniverfal Ideas, there are two which ic highly concerns us rightly to diftineuifh, - that is to fay, Gomprehenfion and Extenfim. I call : Chap. V. The -Art of Thinking. 67 ' I call the Comprebenjton of an Idea all thofe Attri- butes that are contained within it ; fb that none : an be taken away, but the Idea muft be d*ftroy'd. Thus the Ccmprekenfion of the Idea of a Triargle,^ ncludes Extenfion* Figure, Three Lines, Three Angles, and the Equality of thofe Angles with wo Right Angles. I call Exfenjjon the Subject with which the Idea grees, which are alfb called the-fq/rwn of-thg-fc**- iwrjal Terms, which being related to thofe, car- ies the name of Superior* TTfius-the Centrical Idea >f a Tr'angle extends its (elf to all the feveral Spe- ies of Triangles. But though the Generical Idea, confufedly extends felf to all the inferior Subjects, neverthelefs be- ween the Attributes which it comprehends, and the bjcEls to which ic is extended, tnedifferericr arifes rom hence, that we cannot defpoil the Idea of an/ f its Attributes without dcftroying it, as hath been aid ; whereas we may reftrain the Extenflon of the ame, by applying it to fome of the Suftjefts, yet lever injure the Idea. Now the fyftrtftton of the Generteal Idea-mxy jappen two ways. Firft, by the Addition of an Idea diftin&.and etermin'd. Thus if I add to the Generical Idea of a Triangle, that it has a Right Angle, I reftrain the lenerical Idea of Triangles to a certain Species of Triangle, which is therefore called a Rsftangls triangle. : Secondly, 68 Logic: Or, Part. I. Secondly, By the Addition of an Idea confus'd, and undetermin'd j as if a Man fhould fty, Jome Iri- angle. In which cafe the Term is made particular, becaufe that now it extends it felf only to a part of tbe St&jt&s, which before comprehended all, aed yet that part to which it is reftrain'd is not deter- mined. CHAP. VI. Of the Five Univerfal Ideas ; Gemtf> Spe- cies, Difference, Proper and Accident. \7\ 7"HAT has been (aid in the former* 1 ' * Chapters opens us a way for the expla- nation, in few words, of thofe "UniverfaU which are Vulgarly r^ade ufe of in the Schools. For when the Centrical Idea reprefenrs to us their | Objeclfc as Things, and that in Suiftantives and abfo- lute Terms, it iscall'd either Genus or Species. Of G:nm. Genus is call'd an Idea^ as being fb common, that it extends it felf alfo to other Vnivsrfal Ideas. Thus* a fquare Figure of four fides is a Genut, in re- fp^cl: of a Paralleflogram or a Trapezium. And ir like manner Subftarite is the fame in refpecl of Sub- ftanct Chap. VI. The Art of Thinking. 69 flance extended, which is a Body j and the Winding Subftance, which is a Spirit. Of Species. But the common Idea, which is another more Common and General, is call'd Species. Thus a Parallelogram and Trapezium, are Species of a fquare Figure : And thus Body and Spirit are Species of Subftance. But one and the fame Idea may be call'd a Genw, if it be referred to other Ideas to which it extends it. (elf .- But the Species, if it relates to an Idea more General, to which it is fubfervient. Thus Eody is a Gemis'm refptcl: of a B^ animate or- inanimate; but a fyw, in refpecl otStibftance. Thus a Square is a Genui'm refpeft of a ParaHeliogra*n, but a 5/?/ in refpecl: of a Figure indeterminately taken. But there is another Notion of Species, which docs not fall but upon thofe Ideas, which cannot be call- ed Genuis ; as when any Idea, has only under it /- jMuls *ndfingu!ars. Thus a Circle has only un- der it lingular Circles, which yet are all of the fame Species, and thefe Species are call'd the Lo*sr- There is al/b a C7 w which cannot be a %, which -is called the Supream of all Gemus, whether t be Ens or Sutyance. Nor is it much material o know ir, as relating rather to Metafiles than I h r/e 70 Logic : Or, I have call'd thofe Idea* which reprcfent to u their Objects as Things, either Genus's or Specter However it is not abfblutely neceflary that thof< Objects fliould be either Things or Subftances ; it fuf fices that they be apprehended to be like them For though they be Manners, they may be repre- lented without any Relation to their Sub/lances,. anc only be referr'd to other Ideas of Manners, eithei more or lefs General. Thus Figure , which is the Manner of a figur'd Body is a Genus, in refpedt oi Figures confifting of (height or crooked Lines. On the contrary, Ideas that reprefent to us theii Objects as Things modified, and that in adjeftive 01 connative Terms, if they be compar'd with Sub fiances which thefe Connative Terms fignifie but con-J fufedly, though directly, whether thefe ConnativA Terms denote Effential Attributes ( which indeed! are nothing elfe but the Tilings themfelves ) or MJH-JJ ners, yet are they not call'd either Genus's or Spiciefm but either Differences, or Propers, or Accidents. They are called Differences when the Object of the Ideat is an Effential Attribute, by which the, Species is diftinguifh'd from another Specie* as Ex4 tended, Thinking, Rational. They are cilled Propers, when the Object realllj belongs to the Effcnce of the Thing, though notil the firft thing that is confider'd in ir, but depend-? 1 ! i.lg upon the firft j as Divifible, Immortal, Docib'e. Common Accidents are fo cali'd, when ihcir Ob-| jecl:s are true Manners, which cannot be leperated by the Underftanding, from the Thing \vhofe Ac-j Chap. VI- The Art of 'Thinking. 71 cidents they arc, without deftroying the Idea of the Thing in our Minds ; as $gwd 9 Hard, ?/$/?, Prudent. Of Difference. Now whereas GenM has under it two Species ; of necejffity the Ideas of both include (bmething of themfelvs, which is not comprehended in the Idea of the Genus. For if they had nothing different from the. Genus, they would be Genus's themfelves ; and as the Genus is predicated of both the Species's, fo both the Species's are predicated one of another. Hence the Eflential Attribute to the Species not be- ing found in the Genw, is called the Difference of it, and is the Vniverjal Idea which we have of it ; becaufe it can folely and only reprcfent to us this Difference, where-ever it be found j that is, in all Inferiors of that Species. For Example, Body and Spirit, are two Species of Sulftance : Therefore there muft be fomcthing more in the Ideas of Body and Spirir, than in the Idea of Subftance. Now that which we fir ft fee more in Body is Extenflon\ what, we fee fir ft in Spirit is Thought. Hence the Difference cf "Body will be Extcnjion ; of Spirit, Cogitation.. That is Body will be a Subflancs extended ; Spirit, a Tainting %o- m dj. Hence it follows, That Difference is doubly re- ferred, either to the Ger.w, which it divides, or to the fy fries which it Ccnftitutes r and farther, that it 72, Logic i Or, Part I. it is the primary part of that which in theCompre- henfion of the Idea is lincluded in the Species. Hence every Species may be exprefs'd by one word only, as Mind , Body , or by two conjoyntly , that is of Genw and Species, which is alfb call'd a Definition , as Sub/lance extended, zTbinkjngSubftance. Seconly Difference , becaufe it conftitutes the Spe- cies , and Differences it from other Species's , ought to have the fame extent with Species ^ and for thai reafon Difference and Species ought to be predicated one of another ; as thus a What ever things tt a Spirit every Spirit thinks. But oftentimes it happens, that in feveral thing there is no Attribute that offers it (elf which agree fb fully with the whole Species as to agree onl] with that Species and no other. In this ca(e rfa way is to join together feveral Attributes , and th AJJemblageftati. being to be found in any other Spi ties, conftitutes the difference* Thus the Platonft aliening that the Demons were no lefs rational Art mals, then Men , would not admit Rational to fe the Reciprocal difference of Man , but added art! ' ther to it , that is to fay, Mortal j which is not dj Reciprocal difference of Man, as being common! Beafts : }'tt being both joyn'd together, they od relate to Man. And thus we frame to our fet Ideas of the moft part of Beafts. Laftly, It is to be obferved, that it is not 9 ways rcquir'd that both the Differences dividing a Genus 9 fhould be Pofitive : it fuffices that only 1 be fuch. Thus two Men arc diffidently ciifti gulfll in it contains Men; be them which s So that the difference be the to. O f . fc ^ (WM/ neither !n.w,Ain itsCompe ff" contam-d inits *, tb , itfr HI f "tl r into the na *u'e dependin^ Connexion , an g * thu onl fame ut Brutes of Brutes 5 the r neve,th e - Attribute ". if enui- find neceffi - ragree- 74 Logic : Or, _ Part L For Example, To have a tight Angle h the cffential Difference of a Bangle Tragic. bccaufe it nectflarily follows, that Angles being Mbt, the Square of the Qpn*f* is equal to the Squares of the other fides, the Equality of thole Squares is taken for the Propriety of a Bangle Triangle, which agrees with all and only Bangle Triangles. r Neverthelefs, fome will have this name of Proper to be of a larger Extent, and hence anfe tour Species of it. The firft is that which we have already ex-.; plain'd, and which agrees with all foldj, andatoajsil Thus it is the Propriety of all Circles, and only : Circles, and always to have all Lines drawn tron the Center to the Circumference equal. The fecond agrees with All, but not *b*4 Thus it agrees with an extended Body to be divi| fible, becaufeall extended Bodies maybe dividoj although Duration, Kumber and Force may allo Divided. . , ' The third may agree with one onfa but not wicfl all. Thus it is only proper to a Man to be a Phj^ iitian or a Philofophtr ; though all Men are neither Philofophers nor Phyfitians. The fourth may agree wi:h all and only, bur n ' <> i or, " M " al ' or , w hat is here added i, only ./, - I 1 " 8 any thi "B in thewho!e u annexed to the wdM, nor " g n ' y Certa!n Mcn > M Ure are toe ^'''<"" which areap. Names, diftinaiy denoting *,/,, y> L ndonii >he ' E 3 Ariftotle 78 Logic : Or, Part I. Afiftotle tlx Prince of Pbilofofhers \ William the Third Kjng of England $ for here the Jingle Terms fa pronounced, loofe nothing of their Extenfion, as being firft determined as much as they could be- Determinative is that, which being added, re- trains the fortification of the General Term, fo that it is not now accepted in its full Extenfion, but comprehends only a part of it } as, Tranfparent Bc- dies, Wife Men, a Rational Creature. Thefe Addi- tions are not /imply Explicative but Determinative, becaufe they maim and curtail the Extenfion of the iirft Term j for the Name of Eody here fignifies only a part of the Body of Man, as a part of Men; cfa Creature, as part of the Creatures. But it is the Nature of .thefe Additions fometfmes to create a Singular out of a Common Term, when they contain Conditions Inaividuant : As when I fay, the K,ing now feigning, the Common Name of King is determin'd to the iingle and only Perfbn of Wil- tem III. There are alfo two other kinds of Complex'^ Terms ; of which the firft is Ctmflexed in Words, the other in Sence only. Of the firft kind are thole that have the Addition cxprefs'd, as in the Examples hitherto mentioned. Of the other kind are they, in which one of the Terms is only pronounced, the other under- flood, as when we fay, the King. This Term is Comflcxed in Senfe becaufe when we pronounce the word, the MCA of the common Name does notprelent it teff to -our minds alone, but, as^ad- join'd . VH.^ The ArtofThnkinz. ^ jom'dtoir, thcWr-ofw^III. whonow reign* of fhlf K- ?t ' W/ T number of* is meant of hofcwh,ch being thus ^fr^, occur in daily Talk as ,n every Family, Ma ft^ i rap l ying fuc a one. Some Ferms are alfo Ccmpl exe d wei i Th, ,h P 93 ? f V ^ UC after Various ". .us the Pnnceof P^/^^iscomplexed in words, becaufe the name of Prince is d.termin'd by the word P!oW er . b c m rcrpea to M*> whon1 the Schoo men are fo addi^ed ro give that Title complexed in Senfe, when the &< of Anflvk is only obvious to the mind, nor being expre.Vd by any Sound that denotes the Perfon. ' AU &*#' or Ccnnof ^^ are either Parrs of are _ i ,u ^in h ' dlc Ugt P c together w,th , their Mbftance*, or cc.npt^d in Scnfe, when s Subftanriees are underftood; Beaufe, as we Md in the Second Chapter, thefe Connective Names denote the Subject directly indeed but econfufedly; the Jftde or Form indireaiy but more antinitly. ' And therefore the # O f the Subject is very B^r romllm r: s COnfUfH *?**<**& Sometimes i -,-n J wnich ror the moft part determined by a diftina Form of the 1^ Thus gfcfc fignifies a Thing that has Whi^t. And lence the confufed Idea of the Thing, is determined figmfie thofe things only that are White 1 However in this Matter, it is chiefly tobs-ob- :rved that there are fome Corned Terms, Vhich although they be only determined to one only E 4 jgft. 80 Logic : Or, Part I. Individual, nevenhelefs retain an Equivocal faiity^ which may be called an Vnivnfrlity of Error. For when Men agree that one only Thing, is fig- nified by fuch a Term, but difpute what that only Thing really is, it happens that this Term is apply*d by fome to fignifie this Thing, by others, another Thing. Hence it is requifite that fiich a Term be farther determined, either by the variety of Circum- flance?, or the Series of Difcourfe, that the fignificati- cn of the Term may be made precifely apparent. Thus true Religion fignifies one fole Religion, 1 which is really the Church of England ; but becaufe all People and every Hercfie think their own Re- ligion to be truefir, thefe Terms are highly Eqniw c&e, by Equivocation of Error. For if an Hiftorian fhould write that his Prince was moil acidified tc the true Religion, it cannot be faid what he mean?. unlefs it be known what Religion the Hiftorian pro- fefe'd. For if he were a Church of England Man, it isurderitocd of a Church of England Prince, 01 of a Mauumetan, if the Hiftorian were an ArtbiM Maiumetan j and ib of a fyman Catholic Prince, iJ I he Author were a Ionian Catholic. Complexsd Terms, wherein there is Equivocation ol Error ) chiefly comprehend thofe Qualities of whict the Senfif is no Judge, but the Mind. For Met! are prone to differ in their Opinion, concerning (ucri Things. For Example, fhould we affirm that no Soldier;! were lifted by Marim, but luch as were f:x fooj wigh this Ctwpicxed Term, Soldier, fix foot high: i; Chap. VII. The Art of Thinking. .81- is not fubjecl: to Equivocation of Error, when it is eafie for Soldiers to be meafured, that we may know whether they be fix foot high or no. But had it been decreed, that none {hould be lifted but fuch as werey?0tt, this Term had been much more liable to Equivocation, when as it might be attribu- ted to Rich Soldiers that look'd like ifout Men, buc are indeed but mecr Cowards. This Equivocation of Error is often found in Com' flexed Terms, Tlie Chief eft of the Part/Ian Geometrici- ans j the moft Learned, the Wickede/l, the Htcbeft of Men. For though thefe Terms are divided by Sn- dividuant Conditions, feeing that one Perfbn might be the chiefeft of the Parisian Geometricians ; never- - thelefs, this Term might be afcribed to federal, though proper only to one ; in regard it is an eafie thing for Men to vary in their Judgments concern- ing this matter \ fb that every one (hall give this Tide to him, whom he thinks to be the beft and ft excellent Geometrician. Thele Forms of Speech alfo, Ike Sence of the Au- r t tvh.it the Author declares upon thii Siibjett, are of ic Number of thefe Equivocates ; efpeeially if the Author be fo obfcurc, that there be any dilute bout his Senle. And thus we find continual Al- ercations concerning Ariflotlfs Opinion of Philo- aphers, while every one endeavours to draw him o their Party. For although Ariftotle had but one ence concerning one thing ; yet becaufe he ia va- ioufly underftood by fevcral, thefe words, the Sence i are the Equivocations of Error. For E 8 2 Logic : Or, Part I. every one pronounces that to be the Judgment of Ariftotle, which he is perfwaded that Aripotle meant ; and fo if feveral believe, That Ariftotlt had a diffe- rent Opinion of the fame thing j thefe Terms, tie Sence of Ariftotlc in ftich a matter, though fingular in themfelves, can never be applied to many, that is to fay, to all thofe things, that Ariftotte fhall be faid to have written upon fuch a Subject ; for fo they fhall fignifie with every one, what every one is perfwaded the Philofbpher thought But that we may the better underftand, where lies this Equivocation of Error, it is to be obferv'd, that the Terms of it are Cannotative ; either ex- prefly or in Sence. Now, as I have faid, in Con- notative Terms may be confidercd as well the Sub- ject, which is direftly or confufedly exprefs'd, as the Form or Mule which is dirc&ly and indiftindlly fignified. ThusWtiifc confufedly denotes a Body, diftinc"l- IjWhiienefii thus the Sence of Ariflotle, confuledly, :bgnifies fbme Sentence, Thought or Dpclirine of his; diftinclly, the Relation of that Doctrine to Anftotle, to whom it is attributed. However the Equivocation which is found in thefe Terms, does not properly arife from the Form or Mode, which being dillincT:, can never vary \ nor from the Subject confafedly confider'd, as not being 1 freed from that confufion. For Example thefe words. Princ/of Philofopbers, cannot be Equivocates,. an regard the Idea of Pnnce of Pfolofophers can be di- \ &n&ly apply'd to no li&vidtM/. But EquiVoca- '-! lib n Chap. VII. The Art of Thinking. , 83 tion confifts only in This, that the Mind inftead of the confus'd Subject fubftitutes another which is diftincl; and determinate, to which Form or Manner are apply'd. But in regard Men difpute about this matter, they may afcribe the Title of Prince or Chief to feveral Perfbns, and fignalize them after- wards with what additional word they think mod convenient. Thus formerly Plato was called the- Prince of Pbtlofofhers ; which Title is now conferred upon Ariftotle. Thus the words, True Religion, not having any diftincl:, but a confus'd Idea of any Religion, ars no Equivosates, becaufe they denote nothing but that Religion which is abfolutely True. But when the Mind has annexed the Idea of True Heligian to the diftinft Idea of Come particular Wor- ftiip diftinclly known, they become egregious E- quivocates, and fignih'e that Worfliip with every one, which they account the True Religion. The fame is the Condition of thefe Words, That witch fucb a Philofofler held of Jitcb a blatter. For while they abide in their general Idea, the general Idea fimply and generally will fignifie the Doctrine delivered by fuch- a Philolbpher concerning fuch a Matter ; as the Doctrine of Anjlotle concerning the Nature of the Soul. Whereas the (ame wcyd?, that which, &c. that is to fay, this Do&rine, while it is urtder a confus'd Idea apply'd to no diftincl; Idea, is not capable of Equivocation. But when the Mind, inftead of that Do&rine confufedly conceiv'd, fub- ilitutes a diftincl: Dodlrine, and a diftincl: Subject ; then according to the variety of diftinft Z^M/, that farue 84 / Logic : Or, Part I. fame That which, &c. may be liable to Equivocation. Thus the Do&rine of Ariftotle touching the Na- ture of the Soul, is an Equivocate with Pompona- //;, who aflerts that Ariftotle believed the Soul to be Mortal, and with feveral others of his Interpre- ters, who on the other fide affirm that Ariftotle taught the Immortality of the Soul, as well as Plato a.nd Socrates. Hence it is, that words of (his Nature moft frequently fignifie the thing with which the Form indirectly exprefs'd cannot agree. Suppofe, for Examples fake, that Philip was not the Father of Alexander, as Alexander himfelf endeavoured to make out; thefe words, the Son of Philip, denoting CJenerality, any perfbn begot by Philip, erroneoufly (pokcn of Alexander, denote the perfon that is not really the Son of Philip* In like manner thefe words, the Sence of Scripture alledged by a Quaker, to prove a Seft quite contrary to Scripture fhall de- note that very Seel: in his Mouth, which he thinks to be according to the Sence of Scripture, and which he has therefore dignified with that name, of die Sence of Scripture j nor are the Papifts more in the right than they,, who pretending to adhere to. ihe. Word of God for among them the Word of Goek- iigqifies that Oglio of Superftitions which they would obtrude upon, the Proteftants inftead of Word, * CHAP, Chap. VIIL The Art of Thinking. 8 5- CHAP, VIII. Of the Clearnefs and Diftinftin of Ideas, QS alfo of their Olfcurity and Confufion. TN Ideas clearnefs may be difcern'd from Diflin^ ttton, and obfcurity from confufion ; for we may call that a clear Idea, when it imprints in us a lively, as I may call it , Sence of it felf, whereas otherwife it may not be fo diftinft. The Idea of Pain, becaufe it (hikes fb fenfibly, may be call'd a Clear Idea \ . but yet it is confufed, becaufe it repre- lents P a " Attendants feparated from the internal Sub- miiTion of the Mind that is the Objeft of afpinng Ambition. 'Tis Dominion over Men ^ &*"* which they covet -, and the pleafare of thofe that Rule proceeds from the Impreffions ot tear, E fteem and Admiration, which they imprint in o -From whence it is manifeft that the 1*4 with which they are blinded, is no lefs vain and empty, than the Idea of thofe whom we properly call ttwr- knm Men, who are they that feed themfelves with Praifes, Eulogies, Titles and other Things of this Nature: the only thing that diftmguiihes the one from the otter, is the fmgle difference < Opinions and Judgments, which both are defirous to communicate to others. For as it is the main de- , fire of the Vain-glorious to excite in others a jfcnle of Love and Efteem for their Knowledge^ o tnience, Wit and Dexterity 5 'tis the Dehghtot i Ambitious to excite in others Motions of Terror, of Obedience and Submiffion to their Grandeur, and tea* conformable to thofe Judgments, by means whereof they appear Formidable, Exalted and Po- tent. So that both the one and the other place their Happinefs in the Thoughts of another : the one mike choice of one fore of Thoughts, the other of another. f There is nothing more common than to 1 vain Phantoms compos'd of the falfe Judgments < Men, bo* they overturn Enterprises ot g^eateli Chap. IX. TkeArtofninki^. ^ In Jnjy* as !* ingt r h . principal mark I0 all the Actions of our Lives arc fretted wJu ' 1^1 Val r Ur u fo ^ efteem>d in l World, which caufa them that would be fona- izd for brave and flout, to [nrow themfelveslnro the moft apparent and threatning Dangers, is no mo soft-times than an over earned biding the Mmd to thefe vain and (hallow Things that fill the Bra,n. Few Perfons when they are^feriou d - fp,fe L,fe, and they who feemtodare Death at a Breach or m a Battel, tremble like others and fa- n e- r a B r re p afr ^. when Death **SS in their Beds. But this fime bravery of their wbd, i they (hew upon fundry Occafions proce d from hence; ,h they have dill hovering before their Eye S the Reproaches thrown upon Cow rS and Pufflan.mous Creatures ; and on Theoiher (1 Appkufe which are given to the Valiant " f ' from thcfe - rou a R f *, fe "' bec m " the mo(l Gene- rou, and Brave ; and that, becaufe of the Jud,- ment, which other Men make of him. Hence k ^mestopaS that the Captains are more Cour^ Cammon SouW ^, "d that the No- fad i ox Logic : Or, Part L (aid a great Captain, are not equally toylfom to a General of an Army and a Common Soldier: For the Captain of an Army, upon whom the Eyes of all Men are fix'd, is thruft forward to difficult Undertakings, whereas a Common Souldier dilates his Thoughts no farther than the hopes of his Pay, or the gains of Plunder, or the Reputation of be- ing Stcur, which feldora extends beyond his own Regimenr. What do they propofe to themfelves that build fuch (lately Fabricks ahove their Condition and their Fortune ? Not the Advantage of commodious Li- ving therein. For fuch a coftly Magnificence does them more harm than good j and it is evi- denr, that if they were alone in the World,, they xvou'd never put themfelves to that Charge and Trouble ; or if they thought they flioukl be de- fpis"d by all that faw thofe Houfes, Therefore the Houfis are built for the fake of others, that they think will applaud the Buildings. They, imagine that all tnar^Qiall behold thofe Palaces, will entertain Motions of RefpecT: and Admi- ration for the Mailer. And therefore they re- pTefent themfelves to themfelvcs as in a Theater, luting in the midft of their Palaces, environ'd with crouds of People, that behold all from Top to Bottom, and thence conceive them Great, Po- ten!, Harpy and Magnificent; and thlsldea filling, ti~uh Minds, fpurs them on to thofe Expences and; 10 be at that Trouble. Why X^ The ArttfTbinkinfr '103 Why do Men load their Coaches with fuch a great number of Lacqueys ? Not for the great Serv,ce they do, for they are rather a Trouble than enCC Ut t0 1 and the p rof p^ <>f that Idea, wh,ch they imagine the fight of /Coach To loader . w,U create in the Beholders, fatisfies the vanity of him to whom thofe Caches Won* ' i ' Co ' n m te ame < ali Conditions , all Employments, all Profeffions that are efteem'dm the World, we {hall find that tha- which renders them delightful, and nlleviates the' am and Toyl that attends them, is this, that they reprefemto the M,nd the /** of Refpecl, Efkem, ear and Admiration that others have for as; On the other fide, that which renders Solitude tedioiw to the moft part of the World, is this, that in fe- perating themfelves from the view, they alfo fipa- ratettemfelves from the Judgments and Thoughts rf Harts become MM K- r f arts ecome em P f y an amiftid as bemg depnv'd of their ufual Nourift taenr , and not finding in themfelves, wherewithal to feed I their Thoughts. And therefore the Hea- then Phdofophers deem'd a folitary Life fo infup- pombie ; that they f crup led, not to aver, that a wife Man would not be bound to enjoy all the Bleffings of Body and Mind, to live alone : and not to haveany Perfon to whom he might imparr ibis Happmefs by Difcourfe. And indeed the.e is ;notnmg but the Chriftian Religion, that can render V A O i 4 Soli- 104 Logic: Or, Parti- Solitude defirable-, for becaufe if teaches Men to dcfpife the World, it affords them at the fame rime other Objects to employ the Mind, and more worthy to fill the Heart, for which they have no need of the Sight and Commerce of Company. But here it is to be obferv'd, that the dciires of Wen do not terminate in knowing the Thoughts and Judgments of others concerning themfelves \ but being known, they make a farther ufe of theni to Aggrandife and Exalt the Idea which they have of themfelves, adding to them, and incorporating ether Afcititious and Eoreign Ideas, and imagining through a grofs Delufion that they are really grea- ter, becaufe they live in a larger Houfe, and that there are more people who admife^m. - Though all ihefe Things are excrinfical as^kt^emfelves, and belong hot to them at all ; nor can tnl^f noughts of other Men preftrve or vindicate thera^om the want and mifery to which they were before obno- xious. From whence we may difcover what it is that renders agreeable to Men ftveral Things which o- therwife are altogether incapable to divert and de- light the Mind. For the Reafbn of the Pleafurc that Men take therein arifes from this, that the Ue& of themfelves reprelents them to themfelves greater than ordinary, by means of Ibmc vain Cir* cum (lance which they add to it. They take Delight in difcourfing of the Dangers they have run, as forming from the Accidents an Idea, which reprelents us to our (elves, either as prudent, . IX. The Ar prudent , orelle particularly favour'd by God. We kreto AToourfe of Sckndb we have efcaped as jpreftntingwour (elves the ftrength of - our Be- fuch dcf P"e Attack. 'of We love to be Victorious in every Thin,?, ever, i Th e K ther , e is no!hin of c " ni s ^ ii ard, though we do not play for Gain ? a^ne to ou, own z*.,he ^ of H.ppinefs at t'he fim ? hTntl^i '""ffnary Happinefs we are apt to W^ belongs to us, a s a permanent QuaKyr," which make, mdjum ^ f ame f uccefs fort ^ e g GmefterS Chufe to " happy lid hu l their Mi "l s ' who a i orld, hare no other Obj e a 3 - o f their - o t E B ^"r' C 'f- *at-da,-ly eir Brains ; and even they who carry the ^Reputation for Wifdom, feed SSSfi eywodirea the ; r Lires ahd theAcl; f ^es to Etwal Thing,, may.be faid ro nx h dr thoughts upon real, fclM and perrna.cnt o' m, when all h ers do but follow V a ,iry''"d n ro 6 Logic : Or, Part I. pry Nothing, arid give theml elves over to Lyes and Errors. CHAP. X. Of another Caufe of Qonfufwn in our Thoughts and Dzfcourje ; Ideas annexed to Words. WE have already faid, that the Neceffity we have to make ufe of External Signs to exprefs our Mind?, is the Reafbn that we fix ! e!e.;> to words in fuch a manner, that many times we confider the Words more than the Things. For it is to be obferved, that though IVlen have Frequently different Ideas of the fame Things, nev.er- thekfs they make ufe of the fame words to exprefs* them ; as the Idea, which a Heathen Philofopher has of Vertue, is not the fame which a Divine hath, yet both exprefs their Idea by the fame Word,, Vcrtne. Moreover the fume Men, at different Ages, have confider'd the fame Things after very 'different Manners j and yet they have rammafs'd all the fa i HIM under one name : Which \% the Reafon, that^ in pronouncing the word, or hearing it pronour.c'd,, a Man is prefently Confounded, apprehending the-; word fbmerimes according to one Idea 9 fbmetimes' j according ' Chap. X. The Art of Thinking. 107 according to another. For Example, a Man un- derftanding that he has Something within him, whatever it be, which is the occafion of his Nou- rifhmentar.d Growth, has cail'd it a Soul, and has extended this Idea not only to what refembles it in Animals, but in Plants. And perceiving alfo that he had Thoughts, he has call'd this principle of Thought by the Name of the Soul. Whence it has come to pafs thac by this Refemblance of the Name, he has taken for the fame Thing, the principle of Thought, and the principle of Nourilhment and Growth. -In like nanner, the Name of Life is given totliat Faculty rom whence the Animal Functions proceed, as alk> he Cogitative Faculty, which are two Things abfo- utely different 1 . Thus thefe words, Sence and Senfation, when they are fpoken of any of the Five Senfes, are vehe- mently pefter'd wilh Equivocations. For three Things happen to us when we make ufe of our enfes ; as, r. When we fee any thing. There is Motion in the Corporeal Organs, as the Brain nd Eye. z/Thele Motions give an occafion to be Soul, to perceive fbmeihing. As when by the Motions firft begun in the Eye, by the Refledlion f the Light, in the falling Rain oppos'd to the Sun-Beam?, it has the Lktts of Red, Blew and r ellow. 3; We make a Judgment of what we ee ; and thus we judge thei'e Colours to belong to le Rainbow* which we pronounce to be of (uch a of fuch a Figure, and at (udi a diu io8 Logic : Or, PartT. from us. Of thefe three the firft only belongs \.o the Body ; the other two fblcly to the Mind j how- ever by occafion of what is perform'd in the Body. Neverthelefs we comprehend all thefe three Things under the name of Sence or Senfation of the Sight or Hearing. For when we fay the Eye fees, or the Ear hears, it cannot be underftcod but accord- ing to the Corporeal Organ j it being apparent that the Eye does not apprehend the Objedls which irfees, nor judge of them. On the other fide we Jo not fay, we have feen fuch a one, if the Mind, call'd off by another Object, has not made Refle&ion upon the Perfbn that prefenred himlelf before our Eyes. And then we take the word See for the Thought form'd in our Mind, in purfuit of what paft in our Eye and in our Brain. And ac- cording to this Signification of the word, tee, -it is the Soul and not the Body which fees, as Platd maintains, and Cicero after him. For indeed, faith he, we do not now behold with our Eyes the Thing which IPS fee ; for there is no fence in the "Body. There are M it were certain Pajjltges made from the Seat of thg Soul- to the Eyes, she Ears and Nofe, and- therefore fee* ing often- interrupted either ly feme thought, or tk force of Come Difeafe, we neither hear nor fee with, open or entire Eyes or Ears. Whence . we may ea/I/f Afprthend that the Soul both Ixars and fees, not theft farts which Are but as the Windows of the Sottl. Id fliort, we take thofe words, Senfation of Sight, Hear* inp, &V. for the lad or thefe three Things, thaD i?. fcr the Judgments which the Saul makes in pur* fuar.ce Chap. X. The Art of Thinking. 109 ftiancc of the Perceptions it has made, by occafion of what pafs'd in the Corporeal Organs, as when we fey the Sences are deceived, at the fame time that we fee a crooked Stick fb appearing in the Water, or the Sun but two Foot in Diameter. For it is certain there can be no Error or Falfity nei- ther in thofe Things that happen in the Corporeal Organs, nor in the bare Perception of the Soul, which is only a fimple Apprehenfion j but the Er- ror proceeds from hence, that we judge amifs, in concluding that the Sun is but two Foot in Dia- meter, in regard that by reafbn of its vaft diftancc from us, it comes to pals that the Image of the Sun ivhich is form'd in the bottom of the 'Eye, is near it Hand, of the feme b5gnefs which an Object of wo Foot would form at a diftance more propor- ionable to our manner of Sighr. But becaufe We lave made this Judgment in our Youth, and for hat we are fb much accuftom'd to it, that it is made at the ferae Inftant that we fee the Sun without any Examination hardly* we atttribute it to the Sight, and we fay we fee the Objects little or great, as they are nearer or more diftant from us, though it be indeed the Mind, not the Eye that judges of their fmallnefs or magnitude. All Languages are full of words of the feme Nature, which not baring any more than one Sound, are nevertheless the fignification- of Ideas al- together different. Bui we are to underftand that when an Equivcn eal word fignifiea two Things which haye no Re- lation iro Logic: Or, Parti. lation one to another, and which Men have never confounded in their Thought?, it \s almoft im- poffible that Men fhould thereby be deceiv'd, or that they fhould be the caufe of Errors, For the Equivocal word, Aria a Ham, which figniSes both a certain Creature, and a Stgn in the %odiac 9 fhall never impofe upon a Perfon that has but a grain of common Sence. Whereas it is a difficult Thing not to be deceiv'd when the Equivocation nrifes from the Errors of Men, who have negligently con- founded different Idea*, as in the word Soul ; for we take it for granted, that they who firft made ufe of thofe words, did inquire into their Significa- tions, and fo it fuffices us to pronounce them, without ever examining whether the .Idea which we have of if be clear and diftinfr. Nay, fome- times (ve attribute thofe Things to the fjgni- fication of the fame word, which falls not but upon Tdeat of. Things altogether incompatible, not per- ceiving that we have, confounded two different Things under the fame Word. CHAP}! Cbap. XL The Art of Thinking. CHAP. XL Of the Remedy of Cotfa&otiin our thoughts WRatiocinations, *rifi*gf rm the Q m . . Won of Words : Off be Benefit of defining Words* and of the Difference between tfc Definition of Things WNames.. HT H E bed way to avoid the Confufion of words * which we find in different Languages, is to make a new Language, and to coyn new Worcfc, to belong oniv to thofe l^,, which they are affign d to %mhe. To which purpofe there is no neceflity to frame new Sounds of Words, becaufe *e may make ufe of fuch as are ufually praais'd ookmg upon them as if they had no Signification hat we may afcnbe to them thofe Notions which ve intend them j which it behoves us todefig n bvr nher fimpfc words, free from all Equivocltiol hus were it to be prov'd, that the Soul is I m - 3ortal th,s word Anima, the Soul, being E *uho. *l, will eafily make a Confufion in wha? isfo be J.d. For the avoiding of which, I will retain this ake nf' ? * T d d f tute of ^ Norion, and i^e ufe of ,t only to denote that Thing which > us is the principle of Thought, by fc^ Behold Iix Logic : Or, Part f. Behold here the Definition of the Word, with fo much benefit made ufe of by the Geometricians, which is cautioufly to be diftinguimM from the Definition of the Thing. For in the Definition of the Thing, as thus, a "Man* w a Rational Creature, Time w the Meafitre oj Motion^ we leave to the Term defin'd, that is Man, and Time the ufual Notion wherein we aflert odier Ideas to be contained, as the Idea of Rational Crea* ture, Meafurc of Time, whereas in the Definition of the Word, as we have already faid, we only mind the Sound, and afterwards determine the Sound to be the Sign of forae /<&, deiign'd for other .Words. But great heed is to be taken lead we confound' this Definition of the word of which we here Dif- courfe, with that other* of which other? fpeak, who will have it be the Explanation of what a Word fignifies according to the vulgar Idiom of the Lan- guage, or its Etimology, which we (hall fpeak more of in another place. But here we only mind the particular ufe to which he that defines a word will have it apply 'd for the better underftanding his meaning, not caring whether it be taken in the'- fame Sence-by others. And from hence it follows, i. That the DefV rations of Words are at pleafuie, but thatthofe otf Things are not fo: For every Sound being of its : felf, and in its own Nature indifferent, to fignifiejj any Thing, it is lawful for me, for my particular^ ufe, provided I advertife others of it, to deter< mine; Chap XI. The Art of Thinking i j 3 114 Logic: Or, PartL Thirdly, it follows that every Definition of a Word, when it cannot be call'd inQueftion, may be taken for a Principle. WHich cannot be (aid of the Definitions of Things ; in regard they are Prc- pofitions that may be deny'd by thofe that find any Obfcurity therein. And therefore, like other Pro- pofitions, they ought to be proved, and not to be taken for True j unlefs they appear perfpicuous in themfelves, like Axiom?. But as to what I faid but now, that the Defini- tion of a Name may fupply the place of a Principle, it requires a farther Ilhittration. For it is only! true, in regard it cannot be controverted but that! the determined Idea may be call'd by the aflign-j ed name. Neverthelefi, we ought not to con-j elude any thing of the Idea it felf, nor to be-! lieve it can exhibite any thing pofidvely to us fotj that reafon alone, becaule it is called by fuch a Name. For Example, I may define the Name ofl Chimera, and fay, I call a Chimera that which imi plies a contradiction ; however it does not thencej follow that a Chimera is any thing. In like mannefl,i a Philofbpher fays to me, I call Ponderofiry the In- 1 terior- Principle which caufes a Stone to defcen^j without any compulfive violence, I fhould willing*-. ly grant the Definition without contradiction, be-i caufe ic leads me to the Knowledge of what he de-1 fires to make me underftand ; but I will deny, that] what is fignified by the word Gravity, is any thing real, in regard there is no iiich principle in Stones. - ers that may be divided into two equal Numbers, o avoid the often Repetition of thofe words, we "ixthis Propriety, and call a Number that may be *[ ded ln - r tW equal Numbers an * Number* Whence it is apparent, that as often as we make ife of the defin'd Name, the Definition is to be nentally fupply'd, which a Man muft have always o ready in his Mind, that as foon as he hears e- 'en Numbers, he prefently underftands fuch a lumber as may be divided into two Numbers : Vnd thefe two Things ought to be fo infeparable rom the Thoughts, that the Tongue fliould no xmer exprefs the one, but the Mind fliould add ie other. For they who have dtfined Names as ic Geometricians do with fo much Care, did it nly to abridge their Writings (,or as St. Auflm i/sj Leaft bj continual Circumlocution they fhould eate Delays : But yet they do not doit to abridge 10 Uus of the Things of which they Dilcourfe, be. -,. n8 Logic : Or, Part believing the Mind will fupply the entire Definition' to fliorc Words, which they only make ufe of tc avoid the Perplexity which multitude of Word] would produce. CHAP. XII. Certain Qlfervations of great Importance, touching the Definition of Words. H/Wing thus explain'd the Nature, Benefit and Neceffity of the Definition of Names, it will not be from the purpofe to fpeak fomething of theii Ufe, lead an ill Ufe be made of them. Firft, all Names are not to be defin'd ; for thai would be often unprofitable and impoflible to be done. I fay unprofitable ; for that when the Ideak conceiv'd of Things are diftincl, and that all Men] underftanding the fame Language, conceive the fame Idea, it would be fiipei fluous to define fuch a Nam?, becaufe we have already the intent of the Definition^ as being fix'd without a Definition to the diftint and clear Idea. But this happens in Things that are purely fim- pie, of which all Men naturally have the fame I- dea, fo that the words by which they are denoted* are underftood by all Men in the fame Sence, or IE there be any mixture of Obfcurity, that which fl clear is primarily underftood. And fb they wh'o mate Chap. XII. The An of Thinking. n 9 i make ufe of foch words to denote a clear Idea, need .not fear lead they fliould be underftood ami Such are the words, Ens, er being, Thought, Exten- sion, EquaHy, Duration or Time. For though fbrae may Obfcure the Idea of Time by feveral Propc- .fitioiM, which they call Definitions; -as, that Time *the Meafure of Motion ascordmg to Prwitj and Pofte- runtj-, nevertheless they nevermind thefe Detini- rions rhemfelves, when they fpeak of Time, nor to they conceit any other thing of ir. So that *>th Learned and Unlearned with the fame Facility underftand the fame thing when they hear, That a tyfi takes up left nme , facing 4 p . ^ lortoije. ^ I have faid moreover, that it is impoffibie tode- 1 me all words. In regard that to define fome word., here is a neceffiry of tifing other words that ex' >refs the Idea, to which ;hat word is to be an- iex d. And then if thefe w >rds which were made -re of to expUin the firtr, b, alfo to be defin'd &e w W \A / J 16 " >fi y F r ther W0fds > * & to ne Worlds End. And therefore there are fomc Timitivc Words which cannot be defin'd, and it /ould be great a Fault to be too curious about ^Definition, as not to define fufficieatly ; for oth ways we fall into the fame Confulion, which 'e labour to avoid. The Second Obfervation is, that we ought not change D^tioni known and already r?ceiv'd W ' k u ^^^ fn them that is < with j for it is always more eafie to ixo c : Or, Parti. to reach rhe fignification of a. word to othrrs, when Cuftora already received, at lea ft among the Lear- ned, has fix'd it to an Idea, than 10 annex it anew to another Idea, and force it from a former, to which it has been properly join'd by daily life. And therefor, it would be a great Error to alter the Definitions receiv'd by the Mathematicians, unleft where there are any that are not fufficiently plaki and obvious to Sence, or fuch whole Ideas are not Politely defer ib'd, as in Euchd may be thought the Definition of single and Proportion. Thirdly, it is to be obferv'd, that when there 45 a neceflity to define a Name, it behoves us to ap- proach as near as may be to common Cuftom, and not to give to Words a Sence altogether Foreign to what they already have, or which are contrary to their Etimology ; as if a ParalleHogram fhouk be defin'd, a Figure confiding of three Lines But if the Word has two Significations, it muft be depriv*d of one, that the other may be only affix'c to ir. Thus when Heat fignifiesas well the feelinj which we have of it, as the Quality which we be* lieveto be in the Fire, like to that which we feel,. to remove this ambiguity, I will ufe the Name of 1 ) Heat, but I muft not apply it but to one of thefe l-ll dcat, difmiflSng it from the other, faying, I call!) Meat that feeling which I have when I come near! the Fire j and to the caufe of this Senfation 1 would;! give a name altogether different, as of Ardour 01 Burning ; or elfe the fame name with fome Addi- tion, which determines and diilinguilhes it from Heat a word, are the Word , oblirerate, late Defi nition . So .hemfd ffiiti Signature I^z Logic: Or,, Part Signature of the Aftronomers could be any wa effe&ual for the Cure of Difeafes. But that which is more insufferable- in this ja: gonry, or gibbrifh of the Cbymifts, is their Pr< phaning the Sacred Myfterics of Religion to mali them ferveas a Vail to cover their pretended S< crets ; infbmuch that fome are arriv'd at that heigl of Impiety ; as to apply what the Scriptures fpeal of the true Chrifmns, That they are the chofon %act the tyyal friefthood, the Holy Nation, the People pin ckafd by God t and whom he hat calfd out of darkpe^ to his wonderful Light, to the Chimerical Fraternit of the fiofic-Crucians, whom in their own Imagine lions they term the only wife Men that have al tain'd Immortal Happinefs ; as having by vertue c the Philofbphers Stone, found out the way to fi the Soul in the Body ; for as much, fay they, a there is no Body fo fix'd and incorruptible as Gol< Of which Dreams, and of feveral others of tB| fame Nature, there are to be found a great numbfj in Gajfindus's Examen of Flud's Philosophy. WhJB dcmonftrates that there is no Difeafe of the Min more dangerous than that of Enigmatical Scriblinj which caufes Men to imagine that their leaft fbli Thoughts, if I may not call them Falfe and alttl gether Impious, will pals for great Myfteries, j, dad in words unintelligible to the Common Sort (,, Men. CHAli CHAP. XIII. to Common Uf Logic : Or, Parti- of them. And this demonftrates alfo to us that De- finitions may be contefted, becaufe we find daily Sutesabou't the Unification which Cuftom gcves 10 NoV' though thefe]- forts of Definitions of words feem to be the bufmefsof the Qrammanans wnofc Province it is to make Diaionanes, whicb Tre nothing elfe but the Explication of He* which Men have agreed to affix certain Sounds, yet ma> we raife upon this Subjea feveral important Re fleaions for the reaifying our Judgments The firft, which may ferve as the Foundatior of all the reft, that Mendonotmany time^ conti der the whole figniflcation of Words i that is, tna the Words often fignifie more than they feem fignifie, and that therefore they who .interpret th, filnification, do not throughly unfold I all the Jdg which the Words imprint in the Minds Of Tor 16 fignifie in a Sound pronounc'd or writtj is no other than to raife an Idea by ftriking ourEa or our Eyes. Now it comes frequently to pafi! that one Word, befides the principal Idea, wh| is look'd upon as the proper fignification ot tj Word, excites feveral other Ideas, which mayj term'd Acceffiries, of which we take little nott although the Mind receive their Impreffion. . For Example, if a Man (hould fay to anofl tcu Lye, and that there fhould be no more none taken than of the principal fignification of the 1 preflbn, 'tis no more than to fay, lou l&s :| contt* 115- : -neparrof the Reproof and I ins neceflary -~t that IiM in the mind ot the bcrvanr, -would have it make. But foments thefe Acce&ry J* are fax d -at ufually tbey And rhrooexoieiotatprQO. this is rhe Reaion thar among Tevcral Expreiho tbafeem to fe theOme Thing, fomeare m- nofR, feme arc mSd, fame tnodcft, otfeen im- Vwdert, feme booeft, others diflioneft; for dat 53* the prindptl Ji ^a wfakh they agree, l&w which are the cauieot V-- --- Aad ths Obfertatko may fore to difcover a dual aoocg thofc who COK- which For Chap. XIII. ~ The Art of Thin king. i 07 nuate the Crime which he laid to the othera Charge And thofe are the ways which Prudent and Mo-' derate Men make ufeof, unlefs f ome Rea Vn vail with them, tuaft with raore rartnefs nemency. Hence alfo may be underflood the difference be- tween a plam and a figur'd Stile, and why the fame Thoughts feem much more lovely, whe/they are expre/sdbya F,gurr, than if they were reftrain'd to a plain manner of Speech. Which proceeds from hence that figur'd Express, befides, the P cu- lp L hmg ' % niflet he Motion and Geftu^e ot him that fpcafcs, and imprint both the one and the other Ueam the Mind, whereas f, mp !e Expref- /Ions fets forth only the naked Truth: For Exam. pie, ofthishalfVerfcof VngiL ne mori miferum eft ? were exprefs'd fimply and without a Figure, Nm ejl ufyue a&o mori miferum. ^ithout doubt the Sentence would not have had hat force i and the Reafon is, becaufc the firft ^preffioa figmfies more than the fecondi for it oes not only exprefs the Thought, that it is not fo ulerablc a Thing as Men think to die; but itrc- rdents alfo the tea of a Man, as it *ere pro- )kmg Death, and undauntedly looking it in tha ace, which, wjtbput queftion is a great and live. G i-2 8 Logic : Or, Parti ly Acceffion to the Signification of the Words Hence it is no wonder that it makes a deep impfef fion in the Hearer ; for the Mind is only in ftru&ed by the variety of Ideas, but flie is notrous'c but by the Reprefcntation of Affections, v fi vts me flere dolendum eft Primum ipfe tibi " " ' "If tkw wouldft have me weep, it f>ft bcl thy felf to g ricve - But as figur'd Stile not only fignifies the Thir themfeivcs, but al(o thofe AfFelions of the Mir which we conceive in meditating and fpcakir we may judge from thence, the ufe which we ou lo make of it, and what are the Subjects rr.oft pr per for it. Vifible it is, that it is ridiculous t| make ufe of it in matters meerly Speculative, whic v^e con rem plate with a calm and placid Eye, which produce no Motion in the Mind. For fii that Figures expre/s the Paffibns of the Soul, wl ^Figures are intermix'd where the Soul is no.wa mov'd, fuch Agitations of the Min'd are conn to Nature, and feem to be a kind of Convulfic For which reafcn there can be nothing more pofterous than the ftir and hurly burly which I Preachers make, who fly out into Fury and travagant Bombafts, upon all manner of Sut and who are no left Furious upon Philofbphical greffions, than upon Truths, the moft weighty! necejlary for Salvation. ^^ On the other fide, when the Subject of the Dif- of rh M J 1 ' C 1C r eqUlVeSa r ufin S and ^king of the M,nd, it a fault to deliver himfelf in a Son J and With Ut a " 7 manner of Therefore Divine Truths not being foply pro- pos d only to be known, but much more to" be be. lovd, reverenc'd and ador'd By Men, without //?, the Verb #, with the Adverb join'd, denotes an action contrary to affirmation ; by which I affirm thofe Ideas do not agree together ; for that there is fome- thlng in the Idea of ;>//?, which does not agree} with that which is contained in the Idea of God. But though it be neceflary that every Propofition, fhould confilt of thefe three words, yet it may con-? fiftoftwo, and fometimes only of one. For Men, for the more fuccin& way of fpeak* ing, have invented feveral words, which fignifie both the Affirmation, that is the Subftantive, and the .Attribute which is affirm'd. Of this number \ are 1 Chap. I. The Art of Thinking. 137 are all thofe words that are called Subftantives, as Godexifa that is, is exiftent ; God loves Afc, that is, Hex a lover of Men ; but the Subftamive, when it isfingle, ceafes to be purely Subftantrve ; for that then the moft general of the Attributes, is joined toir, which 5sE*r, or being, and fo wn ego fum, lam. not, is as much as, I am not a being, or any *ng. In the fame manner at other times, the Subject and the Affirmation is included in the fame word, as in the firft and fecond Perfons among the Latins' as when I fay, fumChrifl'ianits, I am A Chriftian ; for ego is the Subject of this Propofition, included in the wordfum. Hence it is apparent, that one word among the Latins conftitutes a Proportion, in firft and fecond Perfons of thofe Verbs, which before contained' he affirmation with the Predicate j fo'ww, wV/, , are three intire Propofitions. Hence it may alfo be concluded, that every Pro- jofitibp is either Negative or Affirmative; and this s that which is contained either in the affirmation r the denial. But there is another difference of Propofitions leducdfrom the Univerfality, Particularity or Sin- ;ularity. For The Terms, as is faid in the firft part, are ei- icr fingular, particular or univerfal. Univerfal Terms may be taken, either accord- to the full Extent, the figns of Univerfality be- >g either exprefs'd or underftood. As are ^ fw an i 3 8 Logic: Or, Part II! an Affirmation, for denial none, as aU Men, Men ; or according to the indefinite part of the Ex- tent, with the Addition of the word TOW?, as alu, Homo, fame Man ; or any other way, according tc propriety of Speech. Hence happens a certain variety, greatly to obferv'd in Propofitions ; for when the Subject the Propofition is the Univerfal Term, taken in in full Extent, it is call'd a univerfal Propofition, wl ther it be affirmative j as every impious Man is Fool; or negative, no wicked Man is bleffed. When the common Term is taken according tc the indefinite part of its Extent, as being reftrain'c by the addition of the word fom;^ it is call'd a par- ticular Propofition, whether it be affirmative, fonte cruel Men are Cowards ; or negative, fome f Men are not miferable. But if the Subject of a Propofition be fingular, when I fay William the -$d. hath taken Rachel, it called fingular. But though this Propofition fingular be dil from the Univerfal in this, that the Subject of is not common, yet has it a greater Affinity witl it, than with the particular, becaufe the SubjeMan is an Animal: Some Man ,s not an Animal : No Man w fice from fin ; Some Man is free from fin. If they differ in Quantity only, and agree in Qua- lity, ^ A I and E O, they are call'd Subalterns. As the pronoun \jvhjck~\ refers, is the whole complex Tern) [ The Deftring wkitb placet Sovereign Happi' nefj m bodily ?leafure~] which denotes a fmgular and individual Define, capable of divers Accidents ;. as Chap. IV. The Art of Thinking. 1 5- 1 as to be maintained by fever al perfons : though in its felf it be determined to be taken always after the lame wanner, at leaft in this precife cafe, as it is extended. And therefore ic is, that the Rela- tive of the fecond incident proposition which was taught by Epicurus ] is not determinative but only explicative ; fo that the Subject to which the Pro- noun refers may be fubftimted in the place of the pronoun, by faying, The Do&rtrte which places Sove- reign Happinefs in bodily P!ea/u r e 9 tfM taught by Epr- curus. g. Thelaft remark is, that to judge of the Na- ture of cheie proportions, arid to know whether it be determinative or explicative, it behovt s us tti mind rather the Sence and Intention of him that fpeaks, than the Exprefiton alone. For there are many times complex'd Terms, that feem uncomplex'd ; or iefs complex'd than in- deed they are ; for that one part of what they en- clofe in the mind of him that Difcourfes, is alto- gether understood and not exprefled, as has been laid in the fixth Chapter of the Firft Parr, where we have fhown that there is nothing moreufual in Difcour(e,than to fignifie fmgulars by general word, for that thcCircumftancesof Difcourle make itap- ipear that there is a Singular and diftirtvlj whe " a Ferfon is the Author )t a Title which he g,ves to another, and which ie gives according to bis own, and not the opini- n of: others, or according to popular error for hen we may impute to haifdf "rhc falfl^ood of' propofifon. Thus when a Man fays, Anftotle, t, the Prince of PbiloTcfbers, or fi mp ]y T /J itf Philofophtrs, beiiev'd that the Original of Nerves wa in the Heart j we have no feafcn 156 Logic : Or, PartlSJ to tell him this is falfe, becaufe Artjlot/e was not the befl: of Philofbphers ; for it is enough that he has follow*d in this the common opinion, though it were falfe. But if a Man fhould fay, That GajJen-\ dus, it'ho is the ntjft Learned of PhiloCofhCn^ belirvdi that there trot A Vacuum in nature ; we may with reafon difpute the Title which he would give Gaf- (cndits, and make him refponfible for the falfliood, couc'd in that incident proposition. A Man may. be alfo accus*d of Falfliood, who gives to the fame perfon a Title which is not fuitable to him, yet not be blamed . for giving him another Title, which is lefs true and.lefs agreeable. For example, fope John the XII. tP,;,l hus ^S 8 in ur felves cwo Ue "> one of fa iking Subflance, another of the extended Sub- bnce, ic frequently happens, that when we confi- der our Soul, which is the thinking Subfhnce, we mfer.fib^ntermix fomething of the 7^ O f th ; ex ! t ndcd Subftance as when we imagin that the Soul h p a t? - llke the My ' and lhar ft -w not be ; at all ,f ,t were no -where, which are not ifopemestnat belong to a Bo'dy: Whence arofe - that Irapwua Error of the Mortality of the Soul. We may read an excellent Difcourfe^f Sr. ^ on this Sub^a, in his Tenth Book of the Trini- 5 where hcj fhews- that there is nothin- fo eafie- 1 5 fc Lvgici Or, PartH. as to know the nature of our Soul. But that which confounds men is this, that being cfefir-ous to know ir, they are not latisfied with what they know, without any great trouble ; that is to fay, that ft is a Subftancc that thinks, defines, doubts and knows ^ but they add to what it is, what it is not, fancying the Soul under fome of thofe Phantofms, under which they were wont' to conceive Corpo- ral things. On the other fide, when we confider Bodies, we have much ado to abftain from intermixing fbme* thing of the Ide* of the Subftance that thinks, hence we affirm that heavy things tend to the Cen- ter ; of Plants, that they frek for proper nouriffi- ment ; of Cnfih in Difeafes, that ir is nature that goes about to difcharge it felt of what is baneful* and a thoufand other Whmftys. More efpeciaily in our Bodies, that Nature has an Inclination to do this or that ; when we are aflurel that we have no fuch defire, nor ever had any fuch thought, and that it is ridiculous to imagin, that there is within* us any other thing than our (elves, that knows what is good or hurtful for us, that defires the one, and efchews the other. I believe moreover that we are to attribute to thefe incompatible Ideas , all thole murmurings of Men againft the Deities ; for it would be impof- fible to murmur againft God, if we conceiv'd him aright: as he is, altogether Wife, Omnipotent and all Goodnefs. But the Ungodly confidering - him as Omnipotent, and the Soveraign Lord ot all Chap. VI. The- Art of Kinking. all the World, attribute to him all the misfortunes tnat berail em, wherein they are not deceiVd but becaufe ar the fame time they apprehend him to be cruel and unjuft, which is incompatible with his goodnefs, they impiouily inveigh againft him as the Author of the miferies which they fuffer CHAP. VI. Of Complex Propofitions, according to Affir- nation and Negation : of one fort of thofe kinds of Proportions which the Thilofo* phers call Modal. BEfides thofe Propofitions where the Subjefl or Attribute is a Term Complex, there are alfo others that arc Complex ; becaufe there are Terms or incident Propofitions, which only regard the form of the Proportion, that is, the Affirmation VT^I?? WhlGh " CX P refs>d b ^ the Verb ; as f Hhould (ay J affirm that the E A nh r*md t Here f aftrm, is only an incident Propofition, which ought to make a part of fomething in the princi- pal Propoimon. N^cnhelefs it S vifible that i C make* no part either of the Subject, or of the At- ibute: for they fuffer no alteration's being un- derftood ..entiy, as if I Nor anxious cares repel. . The truth of thefc Propofitions depends upori -j the truth of both the two parts. Thus if I fay that Faith and a good Life are neceflary to Salva-^ tion, this is-- true, becaufe both the one and the other is neceflary. Butfhouldl have faid,agood Life and Riches are necefliry for Salvation, this is a falfe Propofition, becaufc Riches are not necefla- ry for Salvation. Pro- Chap.: VII. The Artflf Thinking. 165- Propo&ions that are coniidercd as Negatives,and contradictory in rtfpect of Copulatives and all fl- itters competed, aie not all luch, where Negations occur, but only (uch where the Negation falls upon the Conjunction, which happens feveral ways, as by putting lhe. NorJ at the head of the propo- fition. Thou doit not love, and forfake thy Friend. For thus it i?, that a propofition is made Con- tradictory to the Copulative, by exprefly denying the Conjunction ; as when we fay that it cannot be, That a thing /hould be this and that at the fame time. That a Man cannot be wife and love at the fame time. Amare & /apart vix Deo conceditur. That Love and Majefty do not accord well to- gether* . Non bene copvenjunt, nee in una fede Morantw Mf- }el t There are no trueChriftians. Here the Truth of the propofition is not regard- ed, but the Truth of the confequence. For the the one and the other part be falfe, neverthelcfs ii the confluence of the one, in refpecl: of the o- ther, be good, the propofition, as far as it is con ditional, is true. As, . If the wiU of the Creature be able to Under the ac comflijhing of GoJs will. God it not Omnipotent. Negative Contradictories are oppofcd to Condi- tionals, when the condition is deny'd ; which a- mong the Latins is done by prefixing the Nega- tive Non fi miferum for tuna Simonem Tinxit, vanum etiam mendacemque improba fixtin. But 2hap. VII. The Art of Thinking. 169 But in Englifh they are expreflcd by (altho) and Negative. If you eat of the forbidden Fruit, you /hall die. Though you eat of the forbidden Fruit, you fall not 'e. Or elfe by, It is not true ; It is not true, that you /hall die if you eat of the r bidden Fruit. OfCaufals. Caufals are thofe that contain two propofitions in'd together by Conjun&ion of the Caufe (be- \ufe) or (to the end that .) Woe to the Rich, becaufe tfyy have their Felicity / iis World. The wicked are advanced, to the end, that fatting from \ high, their fall may be the greater. Tfjey can, becaufe they thinly they can. Such a Prince was unfortunate, becaufe he aw not under fuch a Planet, Inder the(e forts of propofirions may bealfo rc- thofe which are called $e tfcording to what he has. Of Difcretives are thole, where various Judgment ire made, and this variety is denoted by the Par tides (.but) (notwithftanding) or words of the lik nature, either exprefied or underftood. Fortune may deprive me of my Wealth, but not my V& tue. 1 endeavour \ to fet my felf above things t but not to I fubjcfted to them. For though .his f o Happmefs defends neither Happinefs defends both upn Thus we fee thatr c of Difcretives. F Copulative. e ' n betwec r i CHAR 172, Logic : Or, Pare IT. CHAP. VIII. Of Proportions composed in Sence. THere nre other compofed proportions, whole Compofition is more conceal'd and intri- cate ; which may be reduced under four forts. I. Exc/ufoe, i. Exceptive, 3. Comparative, 4, In- ceptive or De/itive. I. Of EXCLVS1VES. Thofe are called Exclufive, which denote, that a predicate fo agrees with his (ubje&, as to agree with that alone, and no other. Whence it follows, that they iuclude tvo various Judgments, and by confequence are compos'd in Sence. Which is ex- prcffed by the word (onlyj or fome fuch like words. Or in Englifh, There it none but God only, who it to le beloved for his cam falg, all other Things are to be admired for the lake of God. Only tbofe Riches which tbcu freely beftctveft, fhalt tkou freely enjcy. Vcrtner.nly makes Nobility, nothing elfe renders a Man truely Nctte. Iknow this on/j, that I kpw nothing, faid the Acade- mics. Lucan fpcaking of the Druids, makes this Dis- \uncfcive Propofition compofed of two Exclufives. Chap. VIII. The Art of Thinking. 1 7 3 * "- you The God *nd Heavenly Numens, you alone ^ Or e Ife to only you they are unsown. Thefe propofitions are contradicted three man- ner of ways: I. By denying that the predicate agrees with the /til- ]c:l alone- a. By affirming it agrees with fame thing elfe. :. By aHedging it agrees nriit) the one and the other. Thus this propofition, only Vertug is true NobtUty, it may be contradi&ed. I . That Vertue does not makf any one Noble. ^. That Birth renders a Man Noble <# well as Vertue. 3 . That Birth ennobles a Man, and not Vertue. So the Maxim of the Academics, this is only cer- tain that there is nothing certain^ was varioufly contni- di&ed by the Dogmatics and the Pyrronians. For the Dogmatics deny ir, by maintaining^ hat it is doubly fallt-, becaufe there are many Things that we know moft certainly ; and therefore it was not true, that we were certain that we knew nothing. And the Pyrronians averred that it was falfe, forthecon- i trary reafbn, that every Thing was fb uncertain, that it was uncertain whether any thing were cer- tain. And therefore there is a defect of Judgment in what Lucan (peaks of the Druids , becaufe there was no nectflity, that only the Druids fhould be in the Truth, in refpectcf the Gods, or that they (hculd only be in an Error. For in regard there wert I 3 fundrj 174 Lo & c Or ' Part IT * lundry Errors, concerning the Nature of the Gods, it might well be, that though the Druids had dif- ferent Thoughts concerning the Gods, from thofe of 'other Nation?, they were no lefs in an Error ihar. other Nations. Here it is alfo to be obfervcd, ;:ere are propofinons which are excluhve in Sence, though the exclufion be not expreffed. Asm thi Verfe of Virgil, where the Exclufion is marked our, Vnafalw viftis, 'nu/lam/perarefalutcm. Thus luckily Tranflated into French, where the Ex- clu.Gon is underftood. DC falut del vaincui eft de n'en point at tenders, 'i+sf.ifetyofthe'vanquifhed, is not to expefttt. . Neverrhelels, it n more ufual in the Latin thaa l : renca t to fupprefs ExclufiOns. So that there are lome p .iflagcs not to be Tranilated with 'all their forte, without making Excluhve propofitions , though in the Latin the Exclufion be not mark'd. Thus 2. Cor. 10. 17. J^/v; glonatur, glorietur Do- mino ; ought to be thus TranfUted, Wljoever re- joiceS) let him rejoice in the Lord. Gal. 6. 7. ^# feminavcrit homo, h has no other hope than this, it h; s none at all : As if the Latin had faid, Si tanium tales habet. L. Of EXCEPTIVE*. Exceptives are thofe where a Thing is affirm'd of the whole Subject, except iome one of the In- feriors of the Subject, by adding arparticle of Ex- ception, which denotes that what is predicated, does not agree with that Inferior. Which vifibly includes two Judgments, and renders thefc Propo fitions compofed in Sence. As if I fhould fay, None of theSefts of the Antient Plnhfophers, except that of the Platonics, have acknowledged God to be in* corporeal. Where two things-are to be underftood, i . That the Antient Philofbphers believed God to be Cor- poreal. ^. That the Platonics believed the con- trary. The covetous Man does nothing welt, but when he d:e$ No Man miserable, unlefs ccmfar'ci. Nn we may lay, though lefs properly, that a Bcne- it is bitter than an Evil } for tha: whatever has e goodnefs, has more than that which has none t all. We may alfb fay 5 that a lefler Evil is better wn a greater Evil, and therefore the lefler Evil as more of that fort of Goodnels than the greater ;il, I T But - 178 Logic : Or, Part II. | But we are to take care leaft the over-heat of j Difpute carry us unawares into vain Brangles about ; tbele Forms of Speech, as they did Crefconiw the Donatift Grammarian, difputing againft St. Aitfiin. For that fame Father having faid that the Catho- licks had more reafbn to upbraid the Donatifts with Tradition, than the Donatifts to reproach the Ca- thollcks. Crefconiu; thought he might from thofe words, "Traditisnem nos vobis -probabilius Objicimus, conclude, that St. Anflin acknawledg'd that the Donatifts had reafon to tax the Catholicks. For if you, laid he, more -probably, tee therefore more probably. For the degree augments what is placed before ir, does not impugn or deny what is faid before ir. But St. A'iflin refutes this vain fubtilty, firft by Examples of Scripture, and among the reft by that paffnge of the Epiftlc to the Hebrews, where Sr. foul having faid, That the Earth bearing only Thorns was' Cur ft, and was only to expert to be burnt, he adds, But we hofe better things of you dear Brethren ; not, fays the Father, that they were good- Things which he had rebearjed before, to bring forth Thorns and Briers, and to deferve burning, but rather^ tecaufe they were evil, that thofs being avoided, they :Lnfi and tfi/h for better^ that is-, Benefits con* fray tofnch great Evils. And afterwards he (newfe; from the moll famous Grammarians the Fa!(hood of 'r.L Confcquence in regard that Virgil might have been taxed in the fame manner, to have taken for a Good the violence of a Diftemper, that enrages Men to tear their own Members, becaufejhe wifhes better may befal gocd Men. p Dii meliora fiis crroremque hoftibus ilium, Difcijfis nudis laniabxnt dentibus artw* How ihen, Mcliora piis t fays the Holy d^ifthey had been BleJJing,, and not rather exi *#*, to tear their Bowls with their own Teetb. Qf.lNCEPTWES and DESITIVES. When we fay that any thing begins, or ceafis o be there are two Judgments made 5 one, that the thing was before the time chat we talk of- the v other, what * was afterward, and fo thefe Propc-' fi.onsofwbchthe one are called IncepnVe, "the other Defanve, are compofcd in Sence, and they are fo alike, that it is much better ro make but one fort of them, and to handle them both together We Jews did not begin till fair return f rom fa Cnpnvity cf Babylon, tom^ no hn^r tt r e #$& **Cb*rrt m , kicb ** ,W t arc ^ C " i8o Logic : Or, Part II the Temple. Which is contradi&ed by others, who affirm that points were never us'd till after the firft Century. A General I(EF LECTION. Though we have fliewed that thefe proportions Exclufive, Exceptive, &c. may be contradicted feveral ways, yet it is as certain, that when they are barely denied, without any farther Explanation, the Nagation falls naturally upon the Exclufion or the Exception, or trie Comparison, or the Altera- tion, denoted by the Words of beginning or cea- ng. Therefore if any one believed that Epicurws did not place his chief happinefs in bodily pleafure, and it fhould be fsid to him, that only Epicurus f laced chief 'bapfinefs in Pieafure, if the other barely denied ir, without adding any other thing, if would be in full declaration ofhisSence, becaufe a &1an might have reafcn to believe upon that bare Negation, that he ftill believed that Epiwus pkc'd his chief Happinefs in Pleafure, but that he was not the Oi)ly Perfbn who was of that Opinion.. Allb if a Perfbn fhould ask me, knowing the in-, tegriry of a Judge, vbttber be fitll fold Juftice } I eoiHd not anfWtr barely, No. For that fuch a No. would only fignifie that he did not ftill fell Juilice ; bur at the fame time the other was left to believe, that he hadformerlj done. it Which flitws us that there areibme Proportions,. Chap. IX. The Art of Thinking. i 81 to which it would be unjuft to require a bare an- fwer by 7 or No-, for that when they include two Senfes, a true anfwer cannot be given but by explaining both the one and the other CHAP. DC Olfcrvattois to fnd out the Predicates and buljetlsm Proportions, expreffed after a lefs ufttal manner. II. 1 82, Logic : Or, Part The only and true Rule is to oblerve by the Senfe, of what a thing is affirm' Jy and what is af- firm'd is this, for the firft is always the Subject, and the latter the Predicate, however difpofed in Order. Thus there is nothing more common than thefe forts of Propofitions ; It is a ihameful Thing to be a (lave to Luft. Where by the Sence it is vifible, that a /hameful thing is that which is affirm'd, and confequently the Predicate ; and to be a flave to Luft, is that which is affirm'd of the thing, that it is a ftiameful thing, and confequently the Subject. Like- wife in St. Paul accord ing to the Latin. Eft queflw magnus Pietat cum fufficientia j whereas the true or- der fhould be Godlinefs, with fufficiency, is great gain. Likewife in this Verfe. / Hafp the Man that knows the caufe cfThingt. Happy is the Predicate, all the reft is the Subject. But the Subject and the Attribute are yet more difficult to be found out in complex propofitions. And we have already (hewed, that (bmetimes there is no difcerning, but by the conftquence of the Dif courfe, and the Authors Intention, which is the chief propofuion, and which the Incident in the two propofitions. But befides what has been laid, we may yet ob- (erve, that in complex proportions, where theiirft part is only the Incident proportion, and the latter Chap. IX. The Art o{ Thinking. 1 83 is the principal ; as in the Major and Conclufion of this Argument, God Commands us to Honour William III. is Kjng. Therefore God commands ta to Honour William III. Here the Verb Active is to be changed into the Paffive, to find out the true Subject of this principal Propofition. For it i& plain when I argue after this manner, that my principal Intention in the Major, is to affirm fbmething of Kings. Whence I may conclude that we are to Honour WiUiam IIL And therefore what I affirm of the Command of God, is only an mekkfit Propofition which confirms this Affirmative, that Kings are to be honoured. Whence it follows, that Kings is the Subject of the Major, and William III. the Subject of the Con- clufion. Though if we coufider things bui only fuperficially, both the one and the other (eem to be no more than a part of the Attribute. Thefe propoiitions are alfo frequent in our Lan- guage. If ts a folly to liften to flatterers. If is ths Hail that falls . It is God who has fur chafed us j But the Sence fufficiently dempnftrates, that to replace thefe Proportions in their natural order, they ought to be thus exprefled. To liften to Flatterers is a tolly. It ts the Hail that falls. He that hat fttrchafid w ts Gcd. And 184 Logic : Or, Part II) And this is almoft Univerfal in all Propofnions that begin with It K, and where afterwards follows (who) or (that] to have the Attribute at the be- ginning, and the Subject at the end. And let this fiiffice for once, to let you lee, that the examples prodsced demonftrate, that we are to judge by the Sence, and not by the order of the Words. And this is neceflary to be known, that we may not be deceiv'd in taking thofe for falfe Syllogifms, that are really true. For that want of difcerning the Subject and the Attribute in the Propofitions, we believe 'em contrary when they are conformable to the Rules. CHAP. X. Other Olfervations, to know whether the Propofitions are Unii/erfaL or Particular > SOme Obfervations of the fame nature, and no lefs ufeful, may be made of Particularity and 1 Univerfaliry. I. OBSERVATION. We muft diftinguifh Univerfality into two Sorts^ The one may be called Metaphyiical, the other ' I call Metapbyfial Universality, when the Uni- verfality Chap. X. TJ:e Art of Thinking. 185 verfality is perfect and without Exception; asi tvery Man ts living, which admits no exception. I call Moral Universality, that which admits fome Exception : For in Moral Things it fuffices, hat things are fb for the moil part. As St. Paul 30th cites and proves, The Cretans art always Ljars, evil Beafts y Shtt>- Or as the fame Apoftle alledges in another place. AU fsek. their own Things, not the things cf Jefus Chrift. Or according to that of Horace, All Mtificiam have this Vice^ &C. Or according to the ufual Phrafes, All Women love to chatt. All Yojmg Men are inconftant. AU Old MenprAif* the time faff. In all thefe Propofmons it fuffices that it be fo for the moft party neither is any thing to be conclu- ded ftri&!y. For as all thefe propofirions are not fb general, jut that they admit Exceptions, fb they may ren- !er the Conclufion falfe. For it could not be par- icularly inferr'd, that any Cretan was a Lyar, or in evil Bead, though the Apofrle cites in general hat Vcrfe of one of their own Poets. e Cretans are always Ljars, evil Beajis, and Slow- bellies. For that fbme of that Ifland might not be lilty of thofe Vices which were common to o- cbers. There- 1 86 Logic: Or, Part II- Therefore the moderation to be obferv'd in thefe Conclufion?, which are only morally Univer-j fal, is on the one fide, to draw from thence with] great judgment particular Conclufions ; and on the other fide, not to contradict 'em, nor to reject 'em as falfe j tho we may oppofe certain Inftances where- in they may ftray from the Truth, but to be fatis- fy'd, if they may be extended frcm others beyond their jufl limits, that they ought not to be taken too rigoroufly according to the Letter. 2. OBSERVATION. There are fome Propofitions that ought to pafs for Metaphyfically Univerfal, tho they may ad- mit of Exceptions, that is, when thofe Exception* are exotic, and fuch, as, according to common ufe, are not comprehended in thofe Univerfal Terms. As when I fay, AH men have ttvo Arms, This pro- pofition ought to pafs for true, according to ordi- nary ufe. And it would be but mere brangling to oppofe againft it , that there have been Monftera who were Men, though they had four Arms. It being plain that there was nothing intended con- cerning Monfters, in thefe general proportions ; and that the only meaning of the Aflertion was, that according to the order of Nature , all Men had two Arms. In like manner it may be faid, that all Men make life of words to exprefs their thoughts ; but Men do not make ufe of writing. Nr would. Chap. X. The Art of Thinking. 187 Rrould it be a rational Objection to contradict the tuth of the proportion, by inftancing dumb peo- ?le, becaufe it is evident, though the fenfe be not ?xprefs'd in words, that it was not meant of fuch s had a natural impediment to make ufe of founds, ither becaufe they could not underftand 'em, as hofe that are deaf ; or becaufe they could not ut- er 'em, like thole that are dumb. 3. OBSERVATION. There are other propofitions which are not Uni- r erfal, but only becaufe they are to be underftood >f the fmgle fpecies'* of Genus, and not .of the In- lividuals of Species* Thus it is faid, that all Crea- ures were fav'd in Noah's Ark, becaufe that fbme of very Species were fav'd. Jefus Chrift rebuk'd the barifees for taking the Tenths of all Herbs 5 not hat they took the Tenths of all Herbs that were aken in the world ; but becaufe that there was no brt of Pot-herb of which they did not take the fythes. Thus faid St. Paul, I endeavour to pleafe 11 Men in all things ; that is, I endeavour to rame ray felf to the condition and humour of all brts of perlbns, Jews, Cbriftians, Gentiles ; though le did not ftrive to pleafe hi profecutors, that were b numerous. Thus it is faid, a Man has pafs'd all Dffices : that is all forts of Offices luitable to his :ondition. 1 88 Logic: Or, Part II 4. There are propofirions that are not Univerfal,bu only as the Subject ought to be taken, as reftrainec by one part of rhe Attribute. I fay by one part for it would be ridiculous to think it fhould be re- ftrain'd by the whole Attribute. As if any one fhould affirm this Propofition to be true ; All Men are juft, becaufe he gave no other Explication oi it, than that all juft Men arc juft. But when the Attribute is Complex, and confifts of two parts, as in this Propofition ; All Men are juft ly the Grace of Jefus Chrift. Then we may wirh reafon affirm the term of juft to be fiibintelle&ed in the Subject, though it be not exprefs'd. For then it is clear that the meaning of the Proportion is , that all Mea who are juft, are not juft but by the Grace of Je- ftfs Chrift. And (b this Propofition is true in all re- fpeb } though it may feem to be falfe, if we coa- fider no more than what is exprefs'd in the Sub- ject ; there being fo many Men who are wicked and finful, and by confequence have not been ju- ftify'd by the Grace of Jefus Chrift. There are a great number of Proportions in Scripture, which are to be taken in this fence ; and among the reft that of St. Paul , As all dyd in Adam, fo alijhall live again in Jefus Chrift. For it is certain, that a great number of Pagans that dy'd in their incredu- lity, (hall not live again in Jefus Chrift. And that they (hall have no part in the Life of Glory, of which Sr. Paul fpeaks. are allb feveral Proportions which are not Chap- X. The Art of Thinking. 189 jot morally Univerfal, but in this manner. The 7 rencb are good Sotildiers ; the Hollanders are good Sea- nen , The Flemings are good Painters j The Italians ire good Comedians. As much as to /ay, that the Drench who are Souldiers, are good Souldiers j and o of the reft. 5-. O B S E ^ V A T 10 N. We are not to think that there are no other narks of Particularity, then thefe words, ^uidam t tliqim, and the like. On the other fide it is very arely that we make ufe of 'ern , efpecially in our -anguage. The Plural number without the Particle \Tbe~\ aakes the word to be taken particularly, whereas he Particle being added, renders^jhe word Gene- al. Thus there is a great difference between thefe wo Propofitions. The Phjfitians now believe, that it \ good to drin^ in the hot fit of a Fever , and Phyfiti- ,ns now believe, &c. For in the firft Propofition, Phyfitiansy concludes all Phyfitians : But in the wwj denotes only forae particular Phy- jtians. But frequently then is, or there are, precede the angular or the Plural Number, and that in two lanners. The firft by placing after there K, or there are t ic Subftantive to be the Subject, and the Adje- tive to be the Attribute of the Proportion. There f e fame fains tvholefome j There are fame fleafures deadly I9Q Logic : Or, p art ^ There are falfe Friends. There is a genero Humility ; Then are Vises cornea? d under the appea once of Venue. The fecond manner is by joynir the Adjective and the Subftantive together, by tr particles which or who. At, there are fears which a rational. But tlaefe particles do not hinder, but th-,i thefe propofitions may be Tingle in fence, thougi complex'd in expreffion. For 'tis no more thanlj fay, fame fears are rational. But thefe phrafes c Speech are mod ufual ; There arefome Men who on love tkemfelves; There are Chriftians who are unwortl. of the Name. All or every one with a Negation makes a part CUlar proportion. Every one that fays to me, Lore, Lord, /hall not enter into the Kingdom of Heaven. Evt ryfm is not a crime. 6. OB When there is no Term of Univerfality or Par- ticularity, as Man ,s readable, Man is >/?, is , quertwo band/d among the Phylofophers, whethft thefe propofuions which they call Indefinite, ought to pafs for Univerfal or Particular. To which the Phylofophers reply, that the prfr joficion ought to be Univerfal in a matter neceffary | but particular in a Contingent matter. I find this opinion approv'd by federal Learned Men, and yet it is very erroneous- Rather we ought to believe the Indefinite propofition to be luiverfal, m whatever matter it be, when feme- thing Chap. X. The Art of Thinking. 191 thing is affirm'd of the common Term, and there- fore in Contingent matter, it ought not to be call'd a particular propofition, but a falle univerfal pro- pofition. And this is the natural Judgment of all Men concerning propofitiom, rejecting 'em as falfe, when they are not generally true, or at leaft not in a moral generality, which is fufficient in common difcourfe of the affairs of the World. For who would endure to hear a Man affirming, that Bears are white, that Men are black i that the Parijians are Gentlemen j the Polonians, Socinians \ the Englj/h ^ua^ers. Nevertheleft, according to the di- ftin&ion of thefe Philofophers, thefe propofitions ought to pafi for true, in regard that being indefinite in a contingent matter, they ought to be taken for particulars. Now it is true that fbme Bears are white, as in Nova Zambia ; fome Men are black as the Ethiopians ; fbme Parifians are Gentlemen, fbme Polonians are Socinians ; and Ibme of the Englt/h are l^ua^ers. Clear it is then, that in whatever matter they be made, indefinite propofitions of this Nature are taken for Univerfal : But in a Contingent mat- ter, a Moral Univerfality is fufficient. Therefore thefe propofitions are true, the French are valiant : the Italians are jealous j the Germans are tall, the Orientals are voluptuous ; though they be not true of all particulars, but only for the moft part. Here is therefore a more pertinent Diftinr.ion to be made that thefe indefinite Propofitions are Univerftl in matter of Do5trme, when we fay, the A^e's are inwpwe.i!) and only particular in Matters Logic : Or, Parti Matters of Faft, and Hiftorical Narrations. / When it is faid in the Go/pet, The Souldien haw* made a, Crown of Thorns, fet it upon his Head. Th is clearly to be understood of fbme and not of a the Souldiers. For in matter of fmgle A<5Hons, e fpecially when they are determin'd to a certai, time, they do not ufually agree with the commoi Term, but becaufe of forae particulars, the Idea o which is diftinft in the underftanding of thole tha make the Propofitions, as may be judged by wha has been (aid of complex'd Terms in Sence, i par cap. 6. l part cap. 4. 7. OBSERVATION. The Names of Body, Community, People, being as ufually they are taken Golleaively, for the whole Communalty, all the People, do not make the Propofitions wherein they are inferted properly U- niverfal, nor particular, but rather fmgular. Thus when I fay, The Romans vanquifh'd the Carthagenians, The Venetians maly War againfl the Turk. The Judgesoffucha place condemn' d a Criminal. The/e propofitions are not llniver&l ; otherwife we fhould conclude of every Koman, that he had vanquifli'd the Carthaginians, which is falfe. Nor are the particulars. For that would be no more than if I (houldfay, That fomeofthe Jfcaww vanquiOi. ed the Carthaginians. But they are fmgular. For the People Chap. XI^ The Art of Thinking ^ People isconfider'd morally as one JVJ an Jivine <~e tr J W " e V3nt!Uift ' d ^ t took ^, overcame the Gtu l, } by one and the fame Term, ^, M ^ U!1r . ; CHAP. XL if *>" nece '"' ng WC [^ fornething of two wh.ch are of reat u f e great and 194 Logic : Or, Part II. But as there are two forts of the whole 9 fb there are two forts of Divifions. There is one whole composM of feveral parts, which are really di(linc*r, whofe parts are call'd Integral parts ; and the Di- vifion of this whole is properly calfd Partition. As when we divide a Houfc into its Apartments, a City into its Wards and Quarters ; a Kingdom into its Provinces ; Man into Body and Soul, and the Body into its Members. The only Rule for ma- king this Partition aright, confifts in the accurate numbring of the parts, fb that nothing be omit- ted. The other Wliole is call'd by another name, A R and! its parts are Sutyftive or Inferior parts .- for t tiiis All, is a common term, and its parts are t Subjects contain'd in its extent. As the word Cr rure is the All of that nature, whofe inferior as Man and Bead, which are comprehended in its extent, are fubje&ivc parts. This Divifion retains properly the name of Divifion, of which there are four forts. i. When the Genus is divided by its Species* Thus, All fubftancc K either Body or Spirits. All Crea- tures Are Man or ~Beaft. a. When the Genus is divided by differences: Every Creature is either rational or irrational. Ail num iiers are even er odd. All Proportions or Power? Is nor the idea of it, wherewith Nature furnifhes usa lundred times more clear than that ? and indeed what did it ever avail to explain the Proprieties ol Vlotion ? The four celebrated Definitions of the four firfl itiesi are nothing better. Dric t (ays he, i& that U'liich is eafily retain*^ within its bounds, and difficultly wkhin thole of un ther Body. Moifture. On the other fide is that which is eafi< y retam'd in the Ebunds of. another Body diificult- within its own. i. Theft Dehnitions better agree with hard and -iquid Bodies, then with Bodies moift and dry. Fof ve lay of the Air, thvu here .it is dry, in anothef face moid, tho .it be always eafily retained wiihia he Bounds of another Body, as being always Li-, uid. Moreover, we do not fee how An Rule cor. 14 K * fci Logic : Or, Part fay that Fire, that is, Flame, was dry according to this Definition, becaufe ic is eafily confined within the Bounds of another Body. Whence Virgil calls ir Liquid Fire. And it is a vain fub- tilty to fay with Campanellaj that Fire enclofed, either breaks or broken ; for th?t proceeds not from irs pretended _drinefs , but becaufe its own Fmoak ftiflcs if, if it have not Air , and there- fore ir will be more eafily reftrained within the limits of another Body , provided it may have fbme Breathing- hole to let out the Smoak which it continually fends forth. As for Hat, he defines it, that which congregates Htmogeneals, and ftparttej Heterogeneals. Cold) he defines that which unites Heterogeneals^ and dtjfipates Homogeneals. Which fbmetimes a grees as well with Hot as with Cold ; but not always, and which is of no ufe, neither to fihew us the c:.ufe why we call fbme Bodies Sfot 9 and others Cold.- So that Chancellor Bacon had rea- - fon to fay, that thefe Definitions were like thofe thit fhould dtfine a Man t be a Shoe-maker , or a : yjne-drcjfer. The fame Philoropher defines Nature, the fnt> v'ple of friction and J^/? , in that wherein tt it. Which is grounded upon an opinion that he had, that all natural Bodies differM in this from Artificial Bodies, that natural Bodies had in themfelves the Principle of their Motion , and that the motion of Artificial Bodies was from whereas it is evident that no J3od/ can givr. Chap. XII. The Art of Thinking. give mat ion to its felf : in regard that matter being indifferent either to Morion or Reft, can- not be determined to either of thefe, but by an extnnfic caufe , which not being able to pro- ceed to Infiniry , it follows that God alone gives motion ro matter , and preserves it in its Motion. His celebrated Definition of the Soul is ro lefs defeSive, the fir? *fl of a nattnrj C (g a ic Bi* 9 ' Firir it does not appear what he Would define. For if it be the Sou], as common to men and Bcafts, it is a Ci-tmera which he has defined, there being nothing common between thole two thing?. 2,. He has explained an obfcure Term by four or five that arc more obfcure. FOJ to omit the reft, the Idea which we have of the word Life , Ji no lefs confuted than that which we have of th Soul ; thcfe two Terms being equally Aoibicruoui and Equivocal. Thefe are the Rules of Definition and Divifi. ; but tho there be nothing of more moment in the Sciences, than to define and divide wtll, we need % n? more in this place j becaufe ir iepends much more upon the knowledge of |e Subject in difputes than upon Logical 2,04 Logic : Or, Part IL CHAP. XIII. Of the Conner/ton of Propositions, where is a through Ittquifithn into the Nature of Affirmation and Negation, upon which this Qonverfion depends. And fir ft of the Nature of Affirmation. I Have deferred till now to fpeak of the Conver- f ion of Propofidom, becaufe upon that depend* Foundation of all Argumentation, of which we are to difcourfe in the next parr. And there- fore it w_as nor proper that this matter fhould be remote from what we have to fay of the Nature of Arguments, though it behoves us to repeat fome thjng of what we have faid concerning Affirmation and Negation, that we may throughly explain the Nature boih of the one and the other. Certain it is, that we cannot explain a Propo* iuiott. to others, bur we muft make ufe of two Ideas e cne for the Subj: And it follows alfo, that ic is the Nature of Affir- S ? S* the ^ ttribute in a]1 that is ex P refr ^ n he Subject according to the Extent which it has m the Propofition. As when I fay, vay Man it * Creature, I woaid fignifie, that whatever is Man Whereas if I only fay, f OOTe Man is juft, I do 1- o C M ? A " ribure f ^ to a11 ' r"**ty to Here we muft alfo confidcr what has been al- ready laid, that in j*4,we mu ft diftinguifh their Comprehenfion from their Extenfion , for that the omprehenuon marks out the Attributes contain'd- m one Idea ; and the Extenfion the Subjc6b which contain that Idea. - For thence it follows, that an J^ is always af- md according to its Con^rehenfion, for that by depnvmg it ot fome one of irs Effemial Attributes fan ^ C ^!? Hat S f thaLit i?no ^ reth ^ ie tt And by con^quence when it is affirm'd, t 'salwaysaccordinvrto all that which it compre! bends m u fclf. Thus^when I fay, that a tyzLle - <-a P-Arallellogram, I affirm of a Bangle all that is comprehended in an Idea -of a Paralhllo Z ram. For .fjhere were any part of this idea t which did not- ^8ang/e, it wou ld follow, that the not agree with it, butonly.one part. And Logic: Or, Part II. And therefore the word ParaUellogram ought to be denied, and not affirm'd of a I(elang!e* Which we (hall find to be the Ground of all Affirmative Argument?. ' And it follows, on the other fide, that the Idea of the Attribute is not taken according to its full Extenfion j at leaft that ks Extenfion was not grea- ter than that of the Subject. For if I fay, that all Lafcivious Menare d&nnd, I do not fay they only (hall be damn'd, but that they ihallbe of the number of the damn'd. Thus the Affirmation placing the Idea of the Pre- dicate in the Subject, it is properly the Subject which determines the Extenfion of the Attribute, in an affirmative Propofition, and the Identity which it denotes, regards the Attribute, as included in an extent equal to that of the Subject ; and not in all its Univerfality, if it have any more than the Subject For it is true, that Lions are all included in the Idea of CreMtire, but it is not true that they are all the Creatures that are. I have {aid, that the Predicate is not taken in its full Generality, if it have any more than the Subject. For not being retrained but by the SubjeeT 1 , if the Subject be as general as the Attribute, it is clear, that the Predicate (hall enjoy all its Generali- ty, becaufe it (hall have as much as the Subject, and for that we fuppofe, that according to its own Nature it cannot have more. From whence we may gather thefe Four un- doubted Axioms. I. AXIOM. Chap. XIII. The Art of Thinking. i. AXIOM. The Attribute is placed in the Subject by the Propo- (jtion affirmative, according to the full Extent of the Subject in the Propo/ition. That if, if the Subject be Univcrfal, the Attribute is conceived in the full ex- tent of the Subject ; and if the Subject be parti- cular, the Predicate is only conceiv'd in a part of the Extenfion of the Subject : As in the foregoing Examples. i. A XIOM. Ihe Predicate of an Affirmative Prop ofition t it af- rnfd according to its full Comprekenfion : That is to ay, according to all its Predicates. 3. A XIOM. ^l The Predicate of an Affirmative Proportion, may lc affirmed according to Us full Exten/ion, if it be in itsfelf renter than that of its Subjttt. As when we fay that Vlen are Creatures, (hi word Creature fignifies no nore all fort of Creature?, but only foch Creatures s are Men, C-H- A R 2-oS Logic : Or, Parr II. CHAP. XIV. Of the Gorrverjion of Affirmative Prop ^ fitions* WE call that the Convention of a Proport- ion, when the Subject is changed into the Predicate, and yet the Proposition holds true, ific, were fo before : Or rather that it neceflarily fok lows to be true by the Converfion, fuppofing that it were fiich before. Nowfrom what we have faid, it may be eafily* under flood how this Conversion is to be made. For; as it is impoSfible that one thing Should be jjyn'cfT; and united to another ; but tnat rhe other muft-bel j oyn'd to the firft ; and that it follows of Cour/e./ij if. A bejoyn'd to 8, B is aifo joyn'd to ^, it is eviJl dent, that it is impoflabie that two Things Shouldf be conceived as Identified, which is the inoft per-| fe be reciprocal, that is, unlefs icmay be affirm j d of/ both Terms, that they are united in the fame man^ | ner as they are (aid -to be. Which is call'd Con^ verfion. Therefore, as .in particular Affirmative Propo-'; | fitions for Example, whsn it is faid, feme Mm it I \ jufl, the Subja and the Predicate are both Parti- cular i for that the Predicate juft being reftrain'd by the Extent of the Subject, Signifies only that particular-.- Chap. XIV. He Art of Thinking 2.09 particular Jultice which is in i >me one Man ; it is evident that if fome one Man be Identified wiih />//?, fomewhat of juft is alfo Identified with fome one Man. And therefore there needs no more than fimply to change the Attribute into the Subject, obferving the lame particularity, to convert thele forts of Propositions, We cannot fay the fame thing of Univerfal Af- firmative Propofitions, becaufe that in thofe Pro- pofitions the Subject is only Uniwfal, that is, is :aken in its fu!l Extent, and the Attribute on the her fide is limited and reftrain'd. And therefore hen it is to be made the Subject by Converfion, te fame reftri&ion is to be obferved, and the iark which determines. it, -ruuft be added, leaft ic lould not be taken generally. Thus when I fay, "hat Man is a Creature, I unire the Idea of Man ich that of a Creature, reftrain'd and limited on- to Men. And therefore if I would invert. this nion, by beginning from a Creature^ of which ay afierwavds be predicated, the fame Reftri&ion : rhe firft Term is to be obferv'd, and for fear of ;ing deceiv'd, fome note of determination mud added. However, becaufe Affirmative Propofirlons can- it he converted, but into particulir Affirmatives, at they are left properly converted than others., at as they are compofed of a general Subject, and reftrain'd Predicate, it is evident when they are inverted, by changing the Attribute into the Sub* c~t,they ought to have a reftrain'd or limited Sub- % When zio Logic: Or, Part II. j When we deduce thefe two Rules. i. Rule. Vniverfal Affirmative Propofitions may be converted^ \ by adding a mart(. of Particularity to the Attribute, and become the Subjfft. 2.. Rule. Particular Affirmative Propofitions are to be. conver- ted without any Addition^ or any change. That is, re- taining only for the Attribute, become the Subjects, the Mark of particularity, that belong'd to the ft; &' Subject. But thefe two Rules may be reduced to one thatj (hall comprehend bath. The Attribute being limited by the SubjeR, in .all af~ firmative Propofitions^ if the Predicate is to be changd into the Subjetl, the f(eft-ficiim mnft be obferved : And by confequence it muft have a marl^ of particularity an" Hexed, whether the firft Subject were "Untverfal or Par" ticular. Neverthele^ it often happens, that Univerfal Af- firmative Propofitions, may be converted into o- rhers that are Univerfal. But this is only when the Attribute is of it felf no larger in Extent than the Subject, as when difference or propriety are affirm'd of the Species, or the Definition of the Thing de- fin'd. For then the Attribute not being reftrain'd, may be taken in the Converfion, as generally as the Subject, All Mm are Rational, all Rational Creatures are Men. But Chap XV. The Art of Thinking. m But theft Converfions not being true, unlefsupon articular Occafions, they are look'd upon as true Ibnverfions, which ought to be certain and infalii- ile, by the Difpofition of the Terms. CHAP. XV. Of the Nature of Negative Proportions. I 1HE Nature of a Negative Propofition cannot JL be more clearly exprefled than by faying, at one Thing is conceived not to be another. But to the End one Thing may not be another, is not neceflary that it fhould have nothing corn- on with it y it being fufficient that it has not all lich the other has ; as it is fufficient for a Bead )t to be a Man, that he has not all that a Man s, not but that he may have fbmething common th Man. From whence this Axiom follows. $T. A X I O M A Negative Proportion does not fe par ate from the Sub* ? all the farts contain d in the Compre ben/ion of the (tribute ; bat it only fepar ate s the total Idea compofed all the united Attribute $ i If I fay, That Matter is not a thinking Subftance, t do I not deny it to be a Subltance, but I fay it is t a Thinking Subftance, which is the total and itire which I deny of the Matter. " It, a rx Logic i Or, ' Part III It is quite otherwiie with the Extenfion of an Idea. For the Negative Propofkion (cparates from^ the Subject, the Idea of the Attribute in its full Ex-1 tent. The Reafon of which is evident. For to j be the Subje& of an Idea, and to be contain'd in ics J Extenfion is no more than to include that Idea, andj by confequence when we fay, that one Idea does! not include another, which may be call'd deny ing J we fay that it is not one of the Subjects of the Idea, j Thus when .1 fay, That a Man is not an Injenfible 1 BWTJT, I fay at the fame time, That Man is none of the Infenfible Beings, and by confequence I deny all Things Jnfenfible of Man, whence we may de- '! rive this Axiom. 6. AXlOty. The Attribute of a "Negative Propo/ition is always tn*. \ ken generally. Which may be exprtls'd more diirincl- Ij. AH the Subjects of anldea t which are denied of ana? \ tkerldea, are alfo denied of the former Idea. Ir a Tri- L angle be denied of Squares, whatever is Triangula? i fhall be denied of a Square. In the Schools they j ufuallyfay, what is denied of the Genus, is denied j alfo of the Species. For the Species is the Subject | of theGew;, as Man is theSebje& d Creature, be- i ing contain'd in the Extenfion of Creature. Not only Negative Proportions Separate the At- tribute from the Subject according to the full Exten- fion of the Attribute ; but they f eparate that Attri- bute alfb from the Subject, according to the full Extenfion which the Subject has in the Proportion. That Chap. XVI, The Art of Thinking. Thar is, it feparares it univer/ally, if the Subject be llniverlal ; particularly, if Particular. As it I fry, 10 vicious Man is happy, I feparate all vicious per- bns from happy Pel-Tons. And if I fay fome one Do- fbr is not learned, I fcparate learned from fonie Do- r. From whence we draw this Axiom. 7- Ever? Attribute denied of a Subject, ,j denied of alt t ts contain din the Extent which the Subject ha in e Proportion. CHAP. XVI. 9ftfo Converfon of negative Proportions. \S it ttimppffible to reparate two Things to- tally, but that the fepar;;; n muft be mutual I reciprocal, it is evident that if I fiy, JV, M* Stone, I can iikewife fay, No Stone is a Man. it any Stone were a Man, trm Man would be tone, and by confluence it would not be true at no Man was a Stone. Hence this Rule. Vnivetftl Negative Proportion, may be converted jm- ^ by changing the Attribute into the Subjctt , and by [erving the Attribute, become the Subject, the fane toerfality winch the farmer Subject Lid, fe negative Propofitiuns, the Attribute is always taken 14 Logic : Or, Part II. taken Univerfally ^ as being denied according to its full extent. But the fame Reafbn will not allow the Conver- (ion of particular Negative Propofirions : For ex- ample, we cannot fay that fbme one Phyfician is not a Man, becaufe we may fay that fome one Man is no Phyfician. Which proceeds from the Nature of the Negation itfelf, that in negative Propositions the Attribute is always taken Univerfdlly, and ac- cording to its full Exteirfion. So that when a par- ticular Subject becomes an Attribute by Converfion in a Negative particular Proportion, it becomes U- niverfal, and changes its Nature, contrary to the Rules of true Converfion j which ought not to change the ReftricVion of the Terms. So in this Proportion, Some one Man uno Phjfician, the term Man is taken particularly. But in the falfe Conver- fion, Some me Phyfician is no Man, the word Man is taken Univerfally. Now it no ways follows, that becaufe tjie quality of the Phyfician is feparated from fome one Man in this Proportion, Some one Man is no Phyfician j or becaufe the Idea of a Triangle is denied of fome o- ther Figure, as in this Propofition, Some one Figure is no Triangle, I fay it does not follow hence , that there are any Phyficians that are not Men, nor any Triangles that are not Figures. The End of the Second Part. LOGIC: OR, THE ART O F THINKING. PART III. Of Difcoarfc or Ratiocination. THIS Part of which we are now to treat, containing the Rules of Diicourfe, is ao compted the moft imporrant Part of Lo- }*ic, and is almoft the only Part which ought to be handled moft accurately. But we have lorae rea- (bn ^l6 Logic : Or, Pare III. ion to fufpea whether it be altogether fb ufeful. For the greatcft Part of the Errors among Men, as we have already faid, arifes from hence, that they build their Difcourfes upon falfe Principles, rather than from their dra'wing falfe Conditions from their Principles. It rarely happens that we are im- pofed upon by fuch Difeourfes which are therefore only falfe, becaufe the Confequences are ill drawn. Seeing they who are not able to difcover thole Fal- fities by the Light of Nature, will for the moft part be as unable to underfrand, much lefs to apply the Rules which are laid down for D'icourfe. Ne- verthelefs fhould thele Rules be lookVi upon only | but as fptcularive Truth, they would be very ufeful j for the Exercife of the* Wit. And moreover it cannot be deny'd but that they be of fome ufc upon ( feveral Occafions, efpecially to fiich who being j of a quick and lively Apprehenfion, never fuffer themfelves to be deluded by falfe Confequence%J but for want of Heed and Attention, wh^ch a due Reflection, upon thefe Rules would eafi y re6tifie. However it be,- we here prefcnt ye with what has been ufually faid concerning this matter, and with | Ibmethimg more than has hitherto yet been difco^ vered. CHAR 217 Chap. I. The Art of Thinking CHAP. I. Oftbe Hereof Ratiocination and tbcfrus- ral forts of it. THE nece% f Difcourfcaonij founded ur- on the narrow Bounds of Human Wir - which be,ng to judge of the Truth or FalftoodoV a Propofition wh,ch IS then call'd a ^ t0 n, cannoc o it by the confideration of tho two ie call d the Leffar Tern, becaufe the Subjeft i SSte*" r r Pr ^" ; and rhe ^ call d the GrwfcrT lor the contrary Reafon o then, whet, the folc Confidcration of thefe wo "*" Oes ^ce for Now ,h,, Ccmpa.ifon of the two /* , OW thor mean, of ,he MM, m wou | d be u[ - de% J to be made with only one of he he Soul the Soale Spmmal or no ? And not u , I ftould ra ake choice of th jpurpjfe to compare Though' 2, 1 8" Logic : O, Part I IF. with the Soul, if it did not conceive fome corre- fpondency between Thought and the Predicate or thing Spiritual, by means of which I may be able to judge whether it agrees with the Sou]. Thus I may fay the Soul thinks, but I cannot thence con- clude that the Soul is Spiritual, unlefs I conceive ferae Relation between Thought and that of Spiritual. So then it is requiike, that the Middle Terra fliould be compar'd as well wkh the Subject or Lef- (erTerm, as with the Predicate or Greater Term, whether it be with both apart as in Syllogifms, which are therefore call'd Simple ; or with both to- gether at one time, as in Arguments which are call'd CwjunQive. But as well in the one as other manner, this Com- parifbn requires two Proportions. We fhall fpeak in particular of Conjunctive Ar r j guments ; but in Simple Arguments the Thing fi : clear; for that the Middle Term being compar dfi with the Predicate of the Conclufion ( which can-, ' rot be done but by affirming or denying ) makeeii the Proportion which we call the Major , becau&l; the Attribute of the Conclufion is call'd the Greattn. And bdng another time compar'd withth^Suk ject of the Conclufion,, it makes that propofirioBJi which is called the Ai^t-, bccaufe the Subjea ^ ' the Conclufion is call'd the Leffer Twn. And th(; Conclufion is inferr'd, which is the Proportion K (elf to be prov'd, and which before it was provV was call'd the queflion. I Cha 2,19 to 2,2,0 Logic : Or, Part III. be full of Defires, and there I (hall confider the Idea of wanting thofe Things which a Man defires, and the mifery of that .privation j from whence I 342y form this Argument. Covetcus Men are full of Defires. Ikey who are full of Defer et WAnt feVeral "Things j it being impcflible they fhould fati.'fie their Defer es. Now they that want what they defire are miferable. Covet cm Men are therefore tnifer able. This fort of Argumest compofedof feveral propo-' iitions, of which the fecond depends upon the firnV, ihe third upon the fecond, and fb forward is call'd Sorites. And thefe are thofe Arguments which are moft ufual in the Mathematics. But becaufe when they are fb long the Intellect has much ado to follow them, and for that the number of three propofitions is fuificiendy proportionable to the ex- tent of our Underftandingj Men have taken the more care to examine the Rules of good and bad Syllogifms, that is to fay, of Arguments of three propofitions. Wherein it will not be amifs to fol- low the Footfleps of others j becaufe thofe Rules may be readily apply 'd to all Arguments compofed of feveral propofitions j fb that if they are good, ji they may be reduced into Sillogifms. CHAP. CHAP. u. The Dhtfons of Sytogfa into Simple ^ and Conjunctive, and of ^ ; f f complex and Complex. 212, Logic : Or, Part IIL Terms of the Conclusion, are alfb of two forts. The one, where every, Term is joined entirely with the middle Term ; that is to fay, with the predicate entirely in the Major, and with the fub- 30t entirely in the Minor. The other, where the correlation being Com- plex, that is, compofed of Terms complex ; one part of the fubjecl:, or one part of the predicate, is joined with the middle Term in one of the propo- iuicns^ and all the reft, which is no more than one fole Term, is join'd with the middle Term in the otker propofiridn. As in this Argument, Tie Law of< God obliges us to Honour Kjngs. VViiiiarn the Third is Ring j Ergo, The Law of God obliges us to Honour VViiiiarn tie Third. We (hall call the firfr, fort of Argument Clear or Incompltx'd, and the other Implicated or Ccmplexd j, not that ail thofe that contain complex'd propofitions are of the latter fort j but becaule there are none of the latter fort wherein there are not complexed proportions. Now .though the Rules are generally, given for fimple fyllogifms, may ferve for all complex'd fyllo- gifms, provided they be inverted, nevertheless be- caufe the force of the Conclufion does not depend upon that Inverfion, we fliall here apply the Rules for fimple fyllogifms only to Incomplex'd, re- fcrving another place to fpeak of fyllogifms cora- plcxcd. C H A P.' Chap. III. The Art of Thinking. zii C HA P. III. General Rules for ilrapie Syliogifms Tn- compiexed. TZw Chapter, with thofe that folloa) to the Twelfth are y?/c, ofwbich &e bdve Jpcken in our Preliminary Dtf- courfe, that contain things fnktil 'and quaint , and nc- ceffxry for 'the Speculation of L'cgic, im of little Vft. Logic : Or, Part III. Affirmative, Negative, Univerfal and Particular, which we (hall here only repeat, as being prov'd in another place. i . Particular propofitions are included in gene- rals of the lame nature, and not generals in par- ticulars. / in A and O in , not A in I, nor in O. i. The fubjeft of a proportion taken univer- fally or particularly, is that which renders it uni- verfal or particular. 5. The predicate of an Affirmative propofition, being never of a larger Extent than thefubjedr, is always considered as taken particularly : For that ir is only by accident, if it be (bmetimes taken ge- nerally. 4. The predicate of a Negative propofition is always tiken generally. Upon the(e Axioms chiefly are founded thege-i ncralRulesof SyUogtJms, not to be violated without! falling into falfe Argumentation. i. Rule. TLe middle Term cannot be taken twice particular!}, fat* it ought to be taken at lea/I once Vniverfa/fy. For in regard the two Terms of the Conclufion are to be united or diyuin'd, it is apparent that no 1 fuch thing can be done, if the middle Term be ta-^ ken for t#o different* parts of the fame whole, fmce it may happen that it may not prove to be one and the The Art of Thinking. the two Terms that fall be united Now being taken twice particularly, for r tWodffo ^P^s of the fame confequence nothingcan be conch,- end * no necefrari]y - Whlch cnoii h nder an Argument Vicious ; f lnce We w if a befalfe ffh ' n ' u hatWh fe Con <"n cannot gument ? ** ^ As lhttS in rhis Ar " 'ws from thence very well, that if the middle Q be united in any one of its parts to fome pare the other term, the firft term which we have faid be joinid to the entire middle Term, will bs ned alfo vvuh the. Term to which any part of the idd^Term is joined. Thus if there be fome *cb. in all the Houfes in P*,*, and chat there -be rmans in fome Houfes in Paris, -k follows -that iereare fome Houfes in Par K , where there lives - atleaftone German, and r it cannot be a predicate and taken univerfally, J the propofition be Negative, becaufe the pre^ ite ot an Affirmative propofition is always taken rticularly. , Now in Negative propofidons if - the 12,8 Logic : Or, Part III the predicate be taken in its full Extent, it is a fign that it is difunited from its Subjeft. And by con- fequence, a proportion where the middle Term is univerfal, denotes a union of the middle Term with the whole lefler Term, or a difunion of the middle Term from the whole Idler Term. Now if by this Union of the lefler Term with the whole middle Term, it be concluded that fbme other Idea is join'd with the lefler Term, it is to be concluded that it is join'd with the whole, and not wuh part : For the middle Term being join'd to the whole lefler Term, can by that Union prove nothing of one parr, which it docs not prove of the reft as being; join'd to the whole. In like manner, if the difunion of the middle j Term from the lefler Term prove any thing of any ] part of the lefler Term, it proves it of all the parts, j as being from all the parts equally difunited. y. Corollary. When the Minor is a Negative univerfal, if a. j lawful Conclufion may be drawn from it, it muft be always General. This is a confequence of the Corollary preceding. For the lefler Term cannon fail to be taken generally in the Minor when it isa Negative Univerfal, whether it be the Subject (by the fecond Axiom ) or the Predicate ( by ihe. Fourth.) Chap. III. The Art of Thinking. 3. Hule. Nothing can be concluded from two Negative Propo- Jttions. For two Negative Propofitions feperate the Sub- ject from the middle Term, and the Predicate al- fo. Now when two Things are fcperated from the third Thing, it does not follow either that thole Things are or are not the fame third Thing. For ~rom hence that the Spaniards are not Turk?, and hat the Turks are not Chriftilns, it does not follow hat the Spaniards are not Chriftians. Nor does it bllow that the Chinefes are Chriftians, though they )e no more Turly than the Spaniards. 4. tyle. ' . A Negative Conclufion cannot be proved by two Af- firmative Propofitions. For becaufe the two Terms of the Conclufion are united with the third Term, it does not follow but that they* may be difunited one from another. 5. fyle. The Conclufion always follows the weaker Part ; That is to fay , if one of the Propofitions be Negative the Con- clujion muft be Negative i if the Proportion be particu- lar, the Conclusion muft be particular. For if one Propofition be Negative, the middle Term is difunited from one of the parts of the Conclufion, and therefore cannot unite both, which however is neceflarily required to make an Affir- mative Conclufion. Alfo 2.30 Logic*. Of, Alfo if one of the Prppofitions be particular: the Conclufion cannot be General For if the Conclufi. on be a Univrerfal Affirmative, the Subject beino Univerfal, ic ought to be Univerfal in the Mino? and by confluence the Subject of it, the predicate never being taken generally in -Affirmative Propo- fitions. Therefore the Middle Term added to this- Subject ihall be particular in the Minor, and there- fore General in the Major ; otherwife it will be twice particularly taken. Therefore it fhall be the bubjedt of. it, and by conference this Maior Pro- pofition fhall be Univerfal. Thus it is plain that no particular Propofuion can precede, whofeconclufion inall be Universal u Which is yet more manifcft in Univerfal Nega- tive Conclufions. For thence it would follow that there ought to be three UmVerfal Terms in the Pfe- nnfes^y the firft Corollary) but in regard there I oagbl to be one Proporfition Affirmative fby the I TtortWr) whofe predicate is taken particularly, ic I follows that all the other three Terms ai > e ta k en UniverfaUy and by conference both Subjeas of I Premifes (hall be taken UniverfaUy, which ren- - dcrs em Univerfal. Which was the thing to be I demonftrated. 6. Coronary. That vbieb conclude, the Generalt concll{ ^ ^ & ,, . That which concludes A, concludes I, and that' which concludes , concludes O. But that which conclude* Chap. III. The Art of Thinking. concludes the Particular docs not for all that con- clude the General. This is a confequence of the preceding Rule and the firft Axiom. But we are to underftand that moft men are pleas'd to confider theft forts of Syllogifrns only according, to their moft Noble Conclufion which is the General : So that they do not accompt for a particular fort of Syllogifm that wherein it is only concluded of the Particular j becaufe it may be concluded of the Univerlal. So that there is no fort of Syllogifm, where the Major being A, and the" Minor E, the conclufion is O. For (by the ?. CW/arnculars. 1 8 by the 7. That the Conclufion follows the treaker part. 6 by the 4. That nothing can be concluded Ne- gatively from two Affirmatives, > fay I. E. O. by the 3 Corollary of Logic: Or, Part TIT; ding to the manner, whence arife the DiVerfity cf byllogifms, which is the various dHpofition of tfte three Terms, which iscalfd Figure as we have al- ready laid. Now for this drfpontion of three Terms, ir on!? regards i thetwofirft Propofitions ; for the Condi fion is luppos d before you can make the SyllooiTm- to provr it. And thus when the middle Term can only bedrfpos'd m four manners, there can be no more the four poffible Figures. 1 For either the middle Term is- the SuljeFl in the Major and the Predicate in the Minor} which makes- the hrft Figure. Or it is the Predicate in tie Major and Atowr.whlc makes the fkond Figure. Or it is the Suljtfk both in th one and tie cd-cr ' which makes the third Figure. Or it is the Predicate in the -Major and tie Subjec in the Mtnor, which makes the fourth Figure Ic being certain, that what fuffices neceflarily to make a true Syllogifm, may be fometimes concluded in this manner. We (hall produce Examples aft*- wards. Neverthelefs, becgufe nothing can ' be prov'd rom this fourth Manner, but after a manner, not very natural, Ariftotk and his followers have not aJ- low d the name of Figure to this Mode. Y*t G*. i maintains the contrary : So that ic is clear the Jnpute J is only about words, which is to be decided, when they mail both agree what they mean by the word Figure. But Qiap.IV. The Art of Thinking ""^ But they mart certainly lye under a miftake, who take for the fourth Figure (which they accufe^u e flotle not to have underftood) thofe Syllo^ifms wherein th~ Major and Minor are tranfpos'd a* thus ; .Every 'Body K divifole. Every thing that dnifible is iwferfetl. Therefore, every Body i) intperfeft, I admire Gajjendm fhould fall into this frrare. For it is ridiculous to take for the Major of a Syllogifa, the Proportion which firft appears, and for the Mi- nor the fecond Proportion. For fo we might as well take the Conclufion for the major, or the Minor i an Argument, becaufe it is oft times the firft or lecond of the Propofitions that compofe it : as in ade Vcrfesof Horace the Conclufionis the firft, the Minor the fecond, and the Major the third. ^j' me/ior fervo qui liber i or fit avaro, In triviis faum cum fe dinuttit ad ajfem, Won 'video : nam qui cupt^ metuet quoque porro -$&, metuens vivtt, liber mibi mm erit mquam. Ul which may be reduc'd into this Syllogifm. tie that lives under continual Jpprehenfrns t s not free Every covetous wan livesunder continual Apprehenficru. Therefore, no covetous man is free. Therefore there is no regard to be had to the fim- >le Local Difpofition of the Propofitions, which ; nake no change in the Intelled. But we are to take prSyllogifrns of the firft Figure, all thofe where ;he middle Term is the Subjeft of the Proportion, /here is found the greater Term or Predicate of the 136 Logic: Or, Part IIF. the Conclufion ; and the Predicate in that Propo-i fition where is found the lefTer Term, or the Sub- ject of the Conclufion. And fo thofe are to be rec- kon 'd Syllogifms of the fourth Tigure, where mid- dle Terra is the predicate injthe Major,and the Sub- ject in the Minor. And fb hereafter we (hall call 'em, hoping no body will take it ill, becaufe we give 'em fair notice before hand, that we do not underftand by this word Figure, any thing more, than a different Difpofidon of the middle Term. CHAP. V. The Rules, Modes and Foundations of the frfl Figure. TH E firft Figure is that where the Middle- Terra is the Subject of the Major and the Predicate of the Minor. And this Figure has two- Rules, I ^ V L E. The Minor muft be Affirmative. For were it Negative, the Major would be Affir- mative by the third general Rule,and the conclafiori Negative by the fifth. Therefore the greater Term would be taken Univerfally in the Conclufion, as be- ing a Negative, and particularly in the Major, be- C-aufe it is the predicate of it in this Figure, and would Chap. V. The Art of Thinking. would be the Major Affirmative ; which is con- trary to the fecond Rule, which forbids concluding from a Particular to a General. This Reafon alfo takes place in the third Figure, where the greater Term is the predicate in the Major. 2. RULE. The Major muft be Vniverfal. For the Minor being affirmative by the prece- ding Rule, the middle Term which is the Predicate of it, is there taken particularly , therefore it muft be UnirerfoJ in the Major where it is the Subjeft, which renders it Univerfal ; otherwife it would be :aken twice particularly againft the firft General That there can he but four Modct in the firji Figure. The Demonjlration. We have (bewed in the preceding Chapter, that |here can be but ten concluding Modes. But of jhefe ten Modes A.E. E. and A.O. O. are excJu- led by the firft Rule of this Figure. I. A.I. and O. A. O, by the fecond, where the viajor is to be Univerfal. ^ A. A. I. and E. A. O. are excluded by the fourth Corollary of the General Rules. For that the JeiTer Perm' being the Subject of the Minor, it cannot ic Univerfal, but the conclufion may be Univerfal kewife. And fo by Confluence there remains but thefe iur Modes. i. Affir- 2.38 Logic-. Or, Parr ITT ^A.A.A. VE. A.E. a. Affirmatives i. Neg.% C.A.i.1 cE.i.0. Which we are to Demonflrate^ Thele four Modes, to the end they may be the more eafily retain'd in Memory, , have been deno- ted by certain artificial words ; of which the three Syllables denote the three Proportions ^ and the vowel of each Syllable the mode of the Propofiti- ons. So that thefe three words hare this Conve- nience in the Schools, that they {hew the entire Species of the Syliogifb, which without it couk not be done without a long Circumlocution o words. B A R-tVhoever fuffers to die for Hunger thofi whom he ought to frffferve^ n a Homicide. B A- All Rich Men who do not. give Alms in public^ necejjlties fuffer thofe to die with Hungtl whom they ought to frefervt, Ergo, R A. They are Homicides. C E. No impenitent Robber can expert to befavd. L A- All thofe who dye after they have enrich\ themfelves with the goods of the Churd without Reftitution, are impenitent Robbers. RENT. Therefore none of thofg can expeft to fa Saved. DA- Whatever makes for Salvation R I. Some Ajfliflions make for Salvation.* I. Therefore there are Ajfiiftions that are advafl E.F Chap. IV. Thedrt F E. Whatever is attended with a ju/l Repentance K not to be defired. R I. There are fome Pleafures that are attended With jrtft Repentance. O. ' Therefore there are feme Pleads that are not to be dsfired. Now in regard that in this Figure the greater 1 erm is denied or affirmed of the middle Term taken Univerfally,affirm'd afterwards in the Minor ot the leffer Term, or the Subject of the Conclu- lion, KB clear that it is only founded upon two Principles, the one, for Moods Affirmative, the RULE. Kt il^ar mujf !,, For the Conclufion being Neo cm, fc!! be taken Univfrfi, the Subrfl of , he Of Logic : Or, Part III- Of the ten concluding Modes, the four Affir- mative are excluded by the fecond Rule of this Fi- gure, that one of the Premifes ought to be Ne| tive. . O.A.O. is excluded by the fecond Rule, that tl major ought to be Universal. E. A. O. is excluded for the fame Reafbn, as the fir ft Figure, becaufe the leffer Term is the }ec~l in the Minor. So that only thefe four Moods remain. rE-A.E. CE. i. O. 2.. General.-? a. Particular.*^ CA.E.E. <-A. O.O. Which four Modes are comprehended ur thtfe Artificial Word?. CE- No Lyar is to be believd. SA- Every good Man is to be believd. . R E. Therefore no good Man is a Lyar. C A. All thofe that belong to Jefus Chrifl , Cr the Fle/h. M E S- All thofe that lead a Life of Pleafitre and luptuoufnefs, do not Crucifie them/elves. F R E S. Therefore none of thofc belong to Jefiu Cl FES. No Vertue ts contrary to the Love of Tn T I- There is a Lwe of Peace which if contrary the Love of Truth. N O. Therefore there is a Love of Peace, ffit. not Vertue. B A. All Vertue is accompanied with Discretion. R O. There are feme forts of %eal that are not AC companicd with Prudence. CO Ulap.VI. Feftmo. Ccf are icate is aYo denied. M 2 This 2-44 Logic : Or, Part HI. This (hews us however that the Arguments in Cefare are in (erne manner indirect, fmce that which ought to be deniedjts not denied but indirectly. But becaule that does not hinder the Intellect from com- prehending eafily and clearly the force of the Ar- gument, they may pafs for direct, if this word may iignifie a clear and natural Argument. This fliews us alfb that thefe two Modes of Ce- fare and Fcftino nothing differ from the two Modes of >the firft Figure, Celarent and Ferio, only that the M^jor is converted. But tho we may fay that the Negative Modes of the firft Figure are more di- rt cl, it often happens nevertheless that thefe two Modes of the fccond Figure that are anfwerable to J em, are both more natural and more eafie to be un- .derftood. For example, as to what we firft propos'd, ,rho the direct order of Negation requir'd, that W fliould have faid, no perfon that is to be bcliev'd is .a.Lyar, which had. made an Argument in Celarent, y*t it is moie clear to the Underitanding, that no X.yar is to be believ*d. lie Grounds Of the Arguments in Came ft res and Barocco. In thefe two Modes the middle Term is affirm'd of the predicate of the Conclufion , and denied of the Subjtct, which Jhews that they are directly grounded upon this Principle. -Whatever K compre- hended in the Extenfion of an Vniverfal Idea , agrees with none of the Subjects of which th.it it denied- The Predicate of A Negative Proportion being taken according Chap; VII. The Art of Thinkin to its full Extent, as- has been frovci in tie fecond . Part. True ChriftJan is comprehended under the ex- rent of Charitable, in regard every rrue Chri/tian is Charitable. Charitable is denied of one that lias no pity upon the Poor, and therefore a true Chri- (fen is denied to have no pity upon the Poor which produces this Argumenr. Every True Chnjiian K Charitable : Noferfon without pity toward the Poor Cbaritatie, therefore no pet fan without Pity toward the Poor is a- CHAP. VII. The Rules, Modes and the Grounds of th&. Third Figure. \ IN the third Figure, the middle Term iV twice the Subje& Whence it. follows. i. RULE. That tie Minor ought to be Affirmative. Which we have prov'd by the firft Rule of the rft Figure ; becaufe that both in the one and the o gr the predicate of the conclufion is predicate m le Major. M 3 2. RULE Logic: Or, Part III. x. RULE. There is no concluding bat Particularly. For the Minor being always Affirmatively , the lefftT Term, which is the predicate is particular, therefore cannot be Univerfal in the Conclufion, where it is the Subject ; which would be to con* I elude a General from a Particular. Demonftration. That there can be but fix modes in the third Figure. Of the ten concluding Modes, A. E. E. and A. O. O. a r e concluded by the firft Rule of this Fi- gure, that the Minor cannot be Negative. A.A.A. E.A.E. are excluded by the fecond Rule, that the Conclufion cannot be general. So that only fix Modes remain. rA.A.1. C E.A.O. 3. Affirmative.-? A.LI. 3. Neg.3E.I.O. 6I.A.I. O. A. O. Ail thefe Modes are reduc'd under fix artificial words, tho in another order. D A- The Div.filility of Infinite matter cannot le comprehended. R A- The Divifiblity of Infinite matier is moft cer- tain. P T I. Therefore there are fome mnft certain things which are Incomprehenfille. F E. No man can defert himftlf. LAP. Every man is an Enemy to kimfc'f. TON. Therefore fome Enemies cannot be .deferted. DI. Chap. VII. The Art of Thinking. 147 D I. There are feme tricked Men that abound in wealth. S A- All. ivickgd Men are miserable, MIS. Therefore fame miserable Men abound in Wealth. D A- Ew7 Servant of God is A Kjng. T I- There are Servants of God that are Poor. S I. Tljercfore there are fome poor Men that are B O- There are fame forts of Anger not to be bUm*d. CAR.- All Anger is a PaJJion. D Q. Therefore fome Pafflons are not to be blamd.. F E- No absurdities are Elegant. R I- There are absurdities in Figures. SON. Therefore there are Figures that are not Elegant The Grottnd of the third Figure- The two Terms in the Conclufion being Attri- Ibures in the Conclufion , and fix'd to the fame lerm in the PremifeSj which fupply the place of a middle Term, the Affirmative modes of this. [Figure may be reduc'd under this principle. The Ground of the Affirmative Modes. two Terms may be affirmed of one and ths fame- thing, the one Term may be affirmed of the other parti- cularly. For being united with the fame thing, becaufe they bo;h agree with it ; it follows that they are ibmetimes united together, and therefore the one may affirm, of the other particularly. But tha t we M 4 may '148 Logic: Or, Patt III. may be aflured that two terms are affirm'd of one and the fame thing, the middle Term muft be ta- ken universally. For (hould-k be taken twice parti- cu'arly, they would be thought to be two feveral parts of one common Term, which would not be :he lame thing. The Ground of the Negative Mode?. lichen of the two Terms the one may be denied, tbi otlxr affirmed of the fame thing , th one may be denied of the other particularly For it is certain they are not always conjoint when they are not united in this thing. Therefore the one may fbmetimes be denied of the other, that is, that the one may be denied of the other taken particularly \ but for the fame realbn, the middle Term muft be always taken univerfally, that it may be one and the fame thing- CHAP. VIIF. Of the Modes of the fourth Figure. TH E fourth Figure is that wherein the mud- dle Term is the predicate of the Major, and the Subject in the Minor ; but it is fb regular, that it is hardly worth while to fet down the Rules, were it not that nothing may be wanting to demonftrate all the fimple Modes of Arguments. i. RULE Gbap. VIII. The Art of Thinking. 49 1. RULE. When the Major is dffirmativt, the Minor is always Vniverfal. For the middle Term is taken particularly in the Major Affirmative. And therefore by the firft Ge- neral Rule, it mud be taken Univerfally in the Mi- nor, becaufe it is the Subject of it. 2. RULE. When the Miner is djfirmative , tie Conclufion is ways Particular. For the kflerTerm is the Predicate in thcMinor. nd by confequence it is taken particularly when ic Affirmative ; whence it follows by the fecond eneral Rule, that ic ought to be aKo particular in e conclufion, which renders it particular, as being e Subject of it. 3. RULE.' In the Negative Modes the Major nnift be General. For the conclufion being Negative, the greater "erm is- there taken generally. And therefore by e lecond General Rule, ic muft be taken generally the Premifes. Now it is the Sabjccl of the Mu- r, as well as in the Figure, and therefore by con- quence as well here as in the lecoiid Figure, being sncraSSy taken, it muft render the major Gene- L M Dimon- 2 $ o Logic : Or, Part III. Demonftration. That there CM le but five Modes in the fourth Figure. Of the ten concluding Modes, A. 1. 1. and A. O. O. are excluded by the firft Rule. A. A. A. and E. A. E. by the fecond.' O. A. O. by the third. So that only five remain. 5A.A.I. tive. "S H A. I. Affirmative. "S 3 . Neg. Thefe five Figures are reduced under thefe five artificial words. BAR- All miracles of Nature are ordinary. B A- Want ii ordinary does not move w. R I. Therefore fame things do not move us which art Miracles of Nature. C A- All the evils of tins Life are tranfitory. LEN- All tranjjtory Ez>/7jr are not to be fear 4. TES. Therefore no Evil of this Life is an Evil to be feard. DI- Some Fools Jpea^Trutb. B A- Whoever fpeakj Truth, is worthy to be admired. T I S. Therefore there are fomc' to be admired, tpho ceafe not however to be Fools. FES. No vertue is a natural quality. P A- Every natural quality hat God for its Author. M O. Therefore feme Natural qualities that have God for their Author , are not Vertues, FRE No mtferable Perfm is content. SI- Chap. VIII. The Art of Thinking. i 5 i S I There are contented Perfons that are Poor. SOiM. Therefore there are fome foor Men that ore net Mferable. It is to be obferved that thefe fiVe modes are generally denoted by thefe words, Baratipten, Ce* /antes, Dabitis, Fapefmo, Trifefomorum ; which pro- ceeded from this, that Ariftotle not ' having made any feparated Figure of thefe Modes, they are not look'd upon, but as indirect modes of the iirft Figure, wherein the Conclusion was Inverted, the :rue Subject being the Term predicated. For which reafbn, the/ who follow'd that Opinion, have pur ;or the firft Propofition , that wherein the Subject of the Conclufion enters, and for the Minor, that wherein the Predicate enters. And therefore to this firft Figure they aflrgr-.d nine Modes, four direcr, and five indired, which they reduced under ihefe two Verfes. Barbara Celarent, Dnrii l Ferio, Baruliptonj Fslapton^ Difimis, Dati/i, BocarJo, Fcrijon, But in regard the conclufion being always fup- >ofed, as being that which is to be prov'd, cannot >roperly be /aid to be ever inverted, we thought it more advantageous to take always for the Major, he Proportion where the Attribute of the Con- rlufion enters, which oblig'd us that we might put he Major firft, to invert the order of the Syllables thofe Artificial svoVds in this manner. Barhvi, C 'denies, Dibatis, Fefp.'ifrno. Frifefin, ' Logic : Or, Part III. A Recapitulation of the feveral forts of Syllo- gifm?. From what has been faid, we may conclude that there are Nineteen forts of Syllogifms, which may be varioufly divided, *w Generals 5^. Q Affirm. 7. I. Into*v 2. Into< ^Particulars 14. cNegat, n. /A. j. 3, Into fuch as conclude ^ ' 4- 4. According to feveral Figures, in fubdividing J em by the Modes, which has already been fuffici- cntly done by the explication of every Figure. 5*. On the contrary according to the Modes in fubdividing 'em by the Figures, which will produce Nineteen fpecies of Syllogifms , becaufe there are three Modes, of which every one conclude in one Figure only ; fix, of which every one concludes in two Figures j and one that concludes in all the four. CHAP. IX. Of complex Syllogifms , and how they tnay le reduced into common Sy/logifms , and how judged ly the fame Rules. WE muft confefs, that if there be any thing wherein Logic does good , there is much more wherein it does mifchief : and we muft ac- know- Chap. IX. The Art of Thinking. 1 5 3 knowledge at the fame time, that there are none to whom it does more Injury than thole who vain- glorioufly affecl: to appear moft excellent in the Art. iFor this Affe&ation it (elf being a mark of a Wic I mean, and of little Solidity, it happens ufually i that while they employ their whole time rather up- on the bark of Rules, than in the Study of good Sence, they are eafily induced to reject, as evil [Arguments fuch as are very good, not having diP cretioq enough to accommodate them to the Rules themfelves, which only lerve to deceive them, be- ing but imperfe&ly underftood. To avoid this Vanity which favours fb much of Pedantry fb unbecoming a generous Spirit, we ought to examine the folidity of an Argument ra- ther by the Light of Reafbn, than by Forms. And one of the ways to facceed is, when we meet with any difficulty, to form other Syl&gifms of the fame nature upon different Matters, and when it clearly appears to us that they conclude right, to confider only true Sence. For then, if we find any thing that does not feem conformable to Rules, we ought rather to believe 'tis the Defect of our Underftand- ing, and not that they are contrary to Rule. But thofe are the Arguments of which it is moft difficult to make a true Judgment; and in which it is moft eafie to be deceived, which as we have alrea- dy faid, are call'd Complex'^, not fimply, becaufe they confift of complexed proportions; but becaufe the Terms of the Conclufion being complex'd, were not taken entirely in any of the premUes ro- be Zqg/c : O, Part be join'd' with the middle Term, but only with a part of one of the Terms. As in this Example. The Sun is a thing Infenfible. The Perfians adore the Sun. Thersfore the Perfians adored a thing Infenfible. Where we find that the conclufion having for its Predicate, adored A thing Infenfible, there is but one part in the Major, that is a thing Infenfible, and adord in the Minor. As to thefe Syllogifms therefore we (hall do two Things. Firft, we (hall (hew how they may be reduced to Incomplex'd Syllogifms, of which we have fpo- ken hitherto, that we may be able to examin 'em. by the lame Rules. In the fecond place we (hall demonftrate, that there may be general Rules given for the quick Ex- amination of the Truth, or Falfhood of thefe Syl logifms, without the help of Reduction. And indeed it is a ftrange thing, that although. Logic be fo highly valued above its deferts, even to maintain that it is abfolutely neceflary for the Acquifition of the Sciences, it is yet fo fuperficially handled, that there has been norhing (aid of thofe Things which are moft ufeful in it. For they gene- rally content themfelves with giving Rules for iim* pie Syllogifms, which are fo clear, that no body ever thought to propofe them ferioufly in any Di courfe; for whoever minded fuch a Syllogifm as this ? Every Man is an Animal., Peter is a Man, therefore Peter is an Animal, But> Chap. IX. The Art of Thinking. 2,5-5- But they never trouble themfelves to apply the Rules of Syllogifms to Arguments, whofe Propo- fitions are Complex'd, tho* it be oft-times very dif- ficult, and that there are many Arguments of this Nature, which appear to be falfe ; but yet are ve- ry true. Befides that thefe forts of Arguments are imuch more in ufe than thafe that are entirely fim- le ; which is moreeafie to be (hewn by Examples han Rules. I. EXAMPLE. For Example, we have affirm'd that, all Propo- fitions compofed of Verbs A&ire, are in fome manner complex'd, and of thefe Proportions oft- times Arguments are fram'd, whofe form and force of concluding, it is a hard matter to underftand ; as in this. The Divine Law commands w to honour William the Third ts Kjng. ThereJIre the Divine Lam commands lit to honour William the Third. Some Perfons wanting Judgment, have accufed thefe forts of Syllogifms of being defeclive. Be- caufe, fay they, they are compofed of pure Affir- matives in the fecond Figure, which is an eflential defect. But thefe Perfons plainly make it appear, that they confulted more the Letter and outward ! Rind of Rules, than the Light of Reafon by which thefe Rules were found out ; for this Argument is fo true and concluding, that if it were contrary to the Logic-. Or, Part the Rule, it would be an Argument that the Rule it (elf was falfe , and not the Syllogifm. I fay ihen that this Syllogifm is true j for in this* proportion , the Law of God commands us to honour Kings , the word Kjngt is taken generally for ail Kings in particular, and by confequcnce William the Third is of the Number of thofe Kings, whom the Law of God commands us to Honour. In the Second place I fay, that the word iQng which is the middle Term, is not the Predicate in this Propofition, T/x Law of God commands us to ho- nour %tngs t though it be join'd to the predicate Com- mands,^ lot that which is truly the Predicate, is affirm'd and agrees with the Law of God. z. The predicate is reftrain'd to the fubjecl. Now the word-King is not reftrain'd in this proportion, T&e Divine Law commands us to honour I(ings y becaufe it is taken generally. If therefore any one demand where the myftery lies, That that word is the fubjecl; of another pro- pofition envelopped in the former. Fo*\vhen I fay, The Law of God commands us to Honour ^tngs t I attribute Command to the Law, and Honour to Kings, as if I fhould have faid, The. Law of God Commands that Kings Jkouid be honour d. Moreover in this Concluficn, the Law of God commands us to honour William the Third. WiSiam the Third is not the Predicate, though join'd to the predicate j but on the contrary the fubjecl of the latent proportion, as if I had faid, the Law ot God commands that militm the Third fhould be honour'd. Chap* IX. The Art of Thinking. ' So then the propofitions being unfolded in this aaanner. The Divine LAW commands that flings Jhould be ho- William the Third is a Therefore the Divine Law commands that William he Third be honoured. It is clear, that the whole Argument coufifts in heie proportions. Kjngs ought to be honoured. William the Third is a King. Therefore William the Third ought to be honoured. And that this propofition, the Divine Law com-, nands, which appear'd to be the principle, is only a propofition incident to the Argument, which is oin'd to the Affirmation of which the Law of God s a proof. And it is alfb clear, that this Syllogifia belongs to he firft Figure in Barbara, the fmgular Terms, Wil- jam the Third, parting for Univerfal, as being taken n their entire Extent. a. Example. For the fame Reafon this Argument which feems o be of the fecond Figure, and conformable to the ules of that Figure is invalid* We ought to believe the Scripture. Tradition is no Scripture. Therefore taught not to believe Tradition. ?or it ought to have been reduced to the firft Fl* The Logic : Of, Part IIF; Tlx Scripture ought to be believed. Tradition is not the Scripture. Therefore Tradition is not to be believed. Now there is nothing concluded from a Negative Minor in the firft Figure. 3. EXAMPLE. There are other Arguments which feem to be purely Affirmative in the fecond Figure, which ne-i verthelefs are moft concluding j as thus, Every good Shepherd is ready to lay down his Life for' his Sheep. But there are now adays few Shepherds who are ready to lay down their Lives for their Sheep. Therefere there are now adays few good Shepfordf' Now that which makes this Argument good ir this, That there is no Conclufion affirmatively, bat in appearance ; for the Minor is an Exclufive Pro* pofition which contains in its Sence this Negative. Several Sheplxrds now adays are not ready to lay down their *Lives for their Sheep. And the Concluf ion re duces it felr* to this Negative, Several Shepherds not* adays are not good Shepherds. 4. EXAMPLE. - Here is an Argument, which being of the firft Figure, feems to have a Minor Negative 3 and yet its very true. All they, from whom what tfey deligfy in cannot be taken awny by force , are fafe from the ajfaults of their Enemies. But Chap IX. The Art of Thinking. 15-9 | But from thoje, who love God alone ^ tbofe things in \vbicb the} delight cannot be taken away. Therefore all they iff ho love God alone , are free from be ajj'aults of their Enemies. ' That which makes this Argument good is, that ;he Minor is not Negative but in appearance, being [eally Affirmative. I For the Subject of the Major, which ought to le the Predicate of the Minor, is not, They from vhcm can be taken what they delight in ; but quite jontrary, they from whom thole Things cannot be bken. Now this is that which is affirm'd of thole lhat love none but God alone, according to the tence of the Minor. I Now all they who love none but God alone, are of the Dumber of thofe from whom that which they delight in unnot be taken away. Which is vifibly an Affirma- | ve Proportion. I ?. EXAMPLE. I And this happens allb when the Maj^r is a Pro- lofition Exclufive j as thus, I The Friends of God are only happy. 1 Now t/jere ars feme Men wlw are not the Friends of \od. \ Therefore there are fame Hyb Men that are not happy. J For the Particle only is the realbn that the tirft Jropofiiion of^ this Syllogifm is equivalent to thele ivo, The Friends of Gad are happy, but other Mortals t \hoare not the Friends of God t are not happy. Now ^6o Logic : O, Part HF Now in regard the force of the Argument de- pends upon the fecond Proportion, the Minor which feem'd to be Negative becomes Affirmative, becaufe the Subject of the Major, which ought to be the predicate in the Minor, is not the friends of God, but they who are nor the Friends of God, fb that the Syllogifm ought to be reduced into* this' Term. AS thofe who ate not the- Friends of Gcd are not happy. But there are fame Rich "Men who arc net in the xumber of tbofe tvho are the Friends of God. Therefore there are fome I(ic!} Men tsfhoarcnothapppi Now becaufe it is not neccffiry to exprefs the Mi- nor in this manner, but that the form of a Nega- tive Proportion may be allow'd if, therefore k i the lame thing to fay Negatively, as affirmative- ly,thata Man is of the number of thofe who are nog the Friends of God. 6. Example, There are many other Syllogifins of the fame Nature, whofe Propofitions appear Negative, and yet they are true, becaufe there is one which is not Negative but in appearance, and which is really affirmative, as we (hall make appear by this Exam- ple. That which has not Parts cannot peri/h ly the dtjfi~ fation of Parts. The Soul has no Parts, mp. IX. The Art of Thinking. 2,61 Therefore the -Soul cannot perifh by the dijfolution of rfc. There are fbme who bring thefe forts of Syllo- rifms to fhew that that fame Logical Axiom f no- tiing is to be concluded from pure Nagatives is rue) is not true. But they did not confider that s to the Sence, the Minor of this Syllogifm and >thers of the fame nature is Affirmative, becaufe be middle Term which is the Subject of the Ma- or, is its predicate. Now the Subject oftheMa- or is not, Whatever has Parts, t>ut whatever has no jarts. And fb the Sence of the Minor is, Our Soul K thing which has no parts, which is an Affirmative 'ropdfition of a Negative Predicate. The fame Perfbns prove that thefe Syllogisms are oncluding by thefe Examples. John is not rational. Therefore John is not a Man, No Animal fees, Therefore John docs not fee. But they ought to confidcr that thole Examples are mly Enthymenes ; and no Enthymcne concludes, but y vertue of a Proportion fitbintellcctcd, and con- equently ought to bereferved in the Mind, though lot exprefled. Now in both thefe Examples, the ^rcpoikion fubinrellected is neceffarily Affirmative, IS thus, Every Man is reafonable, John is not r-ea- "on'able, Therefore John is no M.in , and every Man 's an Animal, no Animal fess, therefore no Man fees. So :hat ir cannot be faid the(e Syllogifms are purely Negative ; And by Confequertce Entlymenet which never a 62, Logic: Or, Part III. never conclude but becauic they inclofe the whole Syliogifras in the Mind of the Argumentator, can- not be brought as an Example to {hew that fbme Syl~ logifms purely Negative, truly conclude. C H A P. X. A General Principle ly the help of which ',,-, ivithout any other Reduction to Figure sand Modes the Truth or Faljhitod of all Syllo- \ gifws may le known. WE have feen how to judge of Complex'd Syilogifms, whether conclufive or defe- 6Hve ; by reducing them to the forms of common Syllogifms, and examining them by the common Rules. But as it is not likely that our Underftandiog fhould ftandin need of that Red u&ion, to judge of the force of Syliogifrns, fo we bethought our felvc?, that there muft be fbme more General Rules, upon which the Common Rules depend, by which an eafie judgment may be given of the Truth or Fal- (hood of all manner of Syllogifki?. And this is chat which came into our Thoughts. S^ When a Proportion, the Truth of which is not fo clear, is offered to be proved, there feems only this to be done, to find out a Propofni on njore known which confirms that, which for inac realbn may be called the Containing Propofinon. Bui >hap. X. The Art of Thinking. 163 164 Logic-. Or, Part III. Negative is properly enclofed in the Negation only, it feems thatihe negative Proportion ought always to be taken for the Container, and the Affirmativ( for the Applicative; whether the Negative be the Major, as in Celarent, ferio, Cefare, feftino ; or whe- ther it be the Minor as in Cameftres and Baroco : a if I were to prove by this Argument, that no cove- tous Man is happy. Every happy Man is content, No cove torn Man is content, Therefore no covetous Man is happy. It is more natural to fay that the Minor, whiq) Is Negative, contains the Conclufion which is alfi Negative, and that the Major demonftrates it. Fo the Minor, No covetous Man is contented, totally fe perating content from covetous, feparates alfb hap py ; fmce according to the Major, happy is totall] excluded in the extent of Content. It is no difficult thing to (hew, that all the Ru'4 which we have given ferve only to fhew that the Con cluiion is contain'd in one of the firft Propoficionf and that the other makes the thing clear. And tha Arguments are not defective but when they fail l< obferve that Rule, and always true when they di obferve it. For all thefe Rules are reduced to tw principal ones, which are the foundation of the reft the one, That no Term can be mwe genera! in the Con clufion than in the Premifcs. Now this vifibly d< pends upon this general Principle, that the Prcmift ought to contain the Conciuhon. Which coul never be, if the fame Term being in the Premifi ar . Chap. X. The Art of Thinking land in the Conclufion, there fliould belefsoctentin > the premies rhan in the Conclufion. For the >ef s General never contains the more general, Come never contains All mm. ' J^o lA^T 31 Rule iSj That the MJdlc Term ends upon this Principle, nJ Cw/^Lfe be contain d m the Premfa. For fuppofe we were o prove, T*,,/** one fnend of God ,s poor j I fay, ihah never evidently find, that this Propofition mains the Conclufion, but by another Propofition vnere the middle Term which Is Hofy, may> ra-' fn umverfaily. For it is visible, that to the end this .ropoljrion, ^^^w^^ r ,may contain the Con- Jiion, fom s Friend of God poor, it is requifite, and offices ihar the Term foms Heij Perfa contains Term fome friend of God. For as to the other _erm borh Propofitions have it in common. But e particular Term has no determined Exten- >n j nor does ir certainly contain any thing befides ^ , c er.clofes within its comprehenLn an And by confequenc?, to the end the Term Tome lyPcrfon, may conruin the Term, f nne FliC nd of K, A u requifite that friend of G*d be contained rnm tne cornprehenlion of the/^ at' Holy Now whatever is contained in the comprebenfi- * an W f 4, -may be uniCeriahV -affirmed ,;f it hatever is contained iu che comprcn -,'] n of Idea of a Tnanglc may b, affirmed of rf] Tri- ;le9. VV hatever is. contained in the Idea of -M.m N nia/ 2,66 Logic -i Or, Part ill. may be affirm'd of all Men. And by confequencc, to the end that friend of God may be enclos'd in fne Idea of Holt, it is rcquifite that .every holy Per- fin be a friend cf God Whence it follows that this Conclufion, feme f fiend of .God poor, cannot be contain'd in this Proportion, feme holy Man is yoor^ when the middle Term Holy is taken particularly, but by vertue of a Proportion where it may be ta- ken univerfally, (ince it ought to (hew that //;>r coiiliib of two parts,the fir ft is call'cf- the Antecedent, If there be a God; the.fecond is- called the Cor.clufion ; he ought to be Bch-vd. This Syliogifm may be of two forts, becaufe that from the fame Major may be form'd two Coi'clulion?. The firft i?,when having affirm'd the conkquent of the Major, the Antecedent is, affirm'd in the Mi- nor, according to this Rule, the Antecedent bein% granted^ the Consequent is granted. If Matter cannot move ofitfelf^ it muft have its firft motion from Col. But Chap. XII. The Art of Thinking. 2,73 But matter- cannot move of it felf. therefore it muft have its fir ft Motion from God. The fecond is, when the Consequent is taken a- way, to take away the Antecedent according to the Rule, take away the confequenr, and the Antece- dent is taken away. If any we of the EleR ferifly, God is. decried. "But God is not deceivd. Therefore not any one of the Eleft psrifh. This was the Argument of Sr. Attftin ; If any one of thefe peri/h, God is deceivd j but none peri/b, be- -aiife God is not deceivd. Thefe conditional Arguments are falfe two rnin- ier of ways. Firft when the Major includes a pro- x>fition quite from the purpofe, and whofe confe- }uence is contrary to all Rules ; as when I con- :lude a general from a particular, as in faying, if ye deceive our felves in any thing, we deceive our r elvcs in- all .things. But this falfhood of thefe Syllogifms in the Mi- or relates rather to the Matter than the Form. So bat they are never lockM upon as vicious in Form, when there is a falfe conclusion xinuvn from a najcr true or falfe, conformant or contrary co Rra- bn, which is done two ways. Fit it when the Antecedent is infen'd from the onfequent in this manner. If the Cbinefes are Mahumetans they are Infidels. IB ttt the} are Infidels. Therefore they art Mabunjctans. The fecond fort of falfe conditional Arguments, """ N 33 a 74 Lo & c ' Or > Part III, is when from the denial of the Antecedent, the de- nial of the Confequent is inferred j as in the exam- ple. If the Chinefes are Mthumetanj t they are Infidelt. But they are not Mahumetans, Therefore the} are not Infidels. Nevenhelefs there are fbme of thefe conditional Arguments which fecm to have this lad defect, which are neverthelefs very true,becaufe there is an exclufion fubintelle&ed in the major, tho not ex prefled, as for example. Cicero having made a Law ugainft thofe that bought voices, and Murena being accufed for breach of that Law, CVcertTfpeaks for him, and thus argues in his own Juftification, being reproach d by Cato for pleading againft his own Law. Indeed, if I defended the Bribery given, and defended the Fatl ut when I defend nothing committed again/I the Lav, Wbyjheitld the making of a Law bin- to my defence. This Argument is like that of a great Blafphe- mer, who 10 excufe himfelf thus argued : If 1 de- vied there was a God I/kould he a -very wicked Perfon ; kitt tho I Biafphetne, I do net deny there ii a God> then- fore I am no teickgd Perfon. This Argument is Invalid, hecaufe there are other Sins befides Atheifm that render a man Wicked. But that which makes C- cero* Argument good ( tho propofed by fymus as an Argument of a falfe Syllogifmj is this, that it en- clofes an exclufive panicle in the Sence, and which might be more diftin&ly exprefc'd under thefe Chap. Xlf. The Art of Thinking. It would be only then that they could reproach me for having afted againft my own Law, /hould I confefs that Murena. had purchatd voices , and yet for all that I fhould juftifie the A8. Sut I ajjert that he wai not guilty of purchafing voices. And therefore I do nothing againft my own Law. r> The fame thing may be faid of that Argument o Venus /peaking to Jupiter in Virgil. . Si fine pace tua, ttque invito nttmine Trees Italiam petiere^ luant feccata, neque il'os Juvt.ii auxilio : Sin tot Rt/ponfa fe qttuti j|W fupen manefque dtbant) cur nunc tua qujfquam: . fletlcre jujfa poteft, aut cur nova conderc fata ? - Mich Argument may be exprefi'd in thefe Terms. If the Trojans adventured into Italy againft the good ill of the Gods, they deferved funi foment. 3nt they did not adventure againft the good will of Gods, Therefore they do not dejerve fntnifhment. [ere therefore is fbmethmg to be fupplied, other* it would be like to this- that concludes no- ung. // Judas had entered into the Apjftlejhip without Wg called he ought to have been rejected of God* Sut he did not enter into it uncalled, Therefore he ought not to be rejected of God. ut that which makes the Argument of Vcmu K* c true is this, that the major is to be considered a? Low : Or, Part Ilk e xc!uiVv r e in the S.nce ; as if it had been thus ex- prefs'd. > Then only hail the Trojans to have been funift 1 d and have been thought unworthy of the gods, if they had ad~- ventured into Iraly againft their vtilU^ - - Sat they did not adventure againft their wills, Therefore, &c. Or it may be faid, which is- the fame thing that thofe affirmative words' fine pace tua, &c: include this Negative io Sence. If the Trojans did, not adventure into Italy tut by order cf the Gods, it is not juft that the Gods foould a- Sttt they did not adventure \m, but by order of the di. Therefore, &c. Of Sjttogifins D'ujimftive. Disjuuflive Syllogiihil arie thofc, whofe firft pro- podribn is di?jan ( 5iive ; rV.at i?, whofe parts are uv liitcd by the word Or, like thai of Cicero. 'They who Jelled Cefar are Parricides, or defenders cf, the publicly Liberty, . j&tt they are not Parricides, Therefore they are defenders of the publicly Liberty. Oi : thefe Syliogitms there are two Sorts : the iiift U'hcnons part is taken away to prefeive the other/ as in the foregoing, Syllogifrn or this that fol- lows, Ail wrtckfd feople ought to l>e funi/hed either in this or the other. ; Btit Ghap. XII. The Art of Uinking. ^ 77 Buf there are fame wicked feople that arenotftmifh* ed in this world, Therefore they /hall be in the other, Sometimes there are three members in Syllogi/ms of this Sort ; and then two members are to be taken away to.preferve one. As in that Argument of Sr. Auftin in his Book of Lying. Either we muft believe good men, or we muft believa. tbofe who we believe ought fometimes to lie. Or we muft ut believe that good men do fometimes lye. The firft is pernicious, the fecond fooltfh : it remains 'hen that good men never lie.. The fecond Sort,though lefs natural,is when we idmic one of the parts to take away the other. St. Bernard teftifying that God had confirmed by his Miracles the preaching of his Crofs, wot either a Hoi? fan, or an Imfoftor. But he wot a Holy Man, Therefore he trjs no Impoftor. 1'he disjunctive Syllogifms are not falfe, but only n the falfiry of the Major, wherein the diftindion 's not exaft , there being a middle Term between wo oppofite members : As if I fliould fay, I We are to obey Princes in what they command contrary 10 the Law of God or revolt from ''em,. \ But we are not to obey" em, in mhat K contrary to- the \.aw of God, Therefore we mujhrevolt from 'em. Or, We, muft not revolt from 'em, Therefore we muft obey 7 em jn what the? command mtrary to t/js Lw of God. Boih. 278 Log"' Or, Partly Both thefe Syllogifms are falfe, becaufe in the dif- junftions there is a medium that intervenes which has been observed by the Chriftians, which is to fuffer thole things patiently , rather than do any thing contrary to rhe Law of God, and yet not re- volt from their Princes. Thefe faJfe disjunctions are in part the com-, mon Springs whence arife all the falfe Argu- ments among men. Of Copulative Syllogifnu. Thefe Syllogifms are but of one Sort, when in the propofinon Copulative and Negative, the one part is confirmed, the other rejected. No man can be both together a, Servant of God t and n Idoli^er of bis money, But a covetous man is an Idoliqtr of bis money ^ Therefore he is not a Servant of God. Tlais fort of Syllogifm does not neceflarily con- clude, when one part is taken away to fix the other, as may be feen by this Argument, drawn from the fame propofuion. No man can be at the fame time a Servant of God t and an Idok^cr of his money , But the prodigal are no Idoli^ers of their they are Servants of God. CHAP. 3hap. MIL The Art of Thinking. CHAP. XIII. Of SyUogifms whofe Conclufions are Con* ditionaL WE have feen that a perfect Syllogifrn can- not have left than three Propofitions. But :his is only true when they conclude absolutely, not aypothetically. For fb the conditional propofition may include one of the premifes befides the conclu- fion, and fometimes both. For example, if I would prove that the Moon is a rough uneven Body, and not polifht like a roirrour, as Ariftotle thought it to be, I cannot ibfolutely conclude but by the help of three Pro- pofitions. Every Body that refleRs its light from all forts it rugged and uneven. The Moon refteRs her light from all parts, Therefore the Moon is a rugged and uneven Body. But to conclude conditionally , I need no more than two Propofitions in this manner. Every Ihdy that reflects its light from all .farts is rugged and uneven, Therefore if the Moon refltcl her light fawn *tl f*rts t Jhe is a rugged and uneven Body. And I may include this Argument in one fingla Proportion thus. Logic : Or, Part Iff. If every Body tint refletts her light from all farts be rugged and uneven, and that the Moon reflets her light from all fans, m mufl acknovledg thatjhe is no fofc /he d Body, but rugged and uneven. Or I may annex one Proportion to another by the caufal particles, becaufe, or face that, as thus, I If every true friend ought to be ready to lay down hit life for his friend, There are very few true friends, becaufe, Very few friends arrive at that degree of friend/hip. This fort of arguing is very common and very neat;and this is that which fhews us how vainly they imagirt that there are no other argument?, but where they fee three propofitions feparated an* rang'd as in the Schools : For certain it is, that this* Propofition alone contains this Syllogifm entire, i Every true friend ought to lay down his life for bit friend, But there are few feofle who are ready to lay dotvn' their lives for- their friends, Therefore there are few trut friends. Ail the difference that there is^between abfoluteSyl-J logifms, and-thofe where the Conclufion is included with one of the premifes, in a conditional Prbpofi- tion, is this, that the former cannot be entirely gran- ted, unlefs that prefently follow that was to be pro- ved ; whereas Syllogifms of the fecond fort may be entirely granted, and yet thedifputantfli^il gain no advantage all the while. For he is ftill to prove, that the condition be true, upon which depends the coa : Sequence allow'd him. :hap. XIII. 77*? Art of Tanking. * 8 1 Logic: Or, Parr Tlfj f. Therefore if the fenft of pain be in the hand which is burnt There is fome thought in the hand which is burnt (Di&aw Negatively. 6. Therefore if no thought be in the bod^ No fence of pain is in the body. Celarent 7. Therefore if no be. aft thinly , No beaft feels pain. Cameft res 8. Therefore^ if fome part of man does not thinly Some part of man does not feel pain. Baroco I 9. Therefore if no motion of matter be a thought No fence of pain is motion of matter. Cefare J O. Therefore if nofentiment of pain be delightful. Some thoughts are not delightful. Felapton 1 1. Therefore if fome fentiment of pain be not Wu Some thoughts are not voluntary. Bocardo f/*ry, Some other condirional conclufions might be drawn from this general Mixim. AUSenfibility of pain is a thought; but not being very natural, we omif cm. Oi: thofe Propofitions which we have produ- ced i there are fome that contain the Minor bcfides the Conclujion, ^. the i.^.j. an d g. an d othera the Major, befides the conclufion, vis. the 3,4, <> 6,9, 10, and jx. We may alfo obferve Several conditional Con- clufions thai may be drawn from a general Nega- tive Propofition. For Example, No matter thinly. J . Therefore if every Soul of a Beaft be matter, NoSoul of a Bea/i things. Celarent. l.- There- Ohap. XIII. The Art of Thinking. 2.8 3 [. Therefore if feme fart of a Man be matter, fome fart \ of a Man does not think. Ferfo. [. Therefore if our Soul thinly : Our Soul is not Matter. Cefare. !. Therefore if fome fart of a Man things : \ Some fart of a Man is not matter. Feftino. Therefore if aU that isfenfible ef Pain thinks : No matter isfenfible of Pain. Cameftres. Therefore if all matter be a Subflance : Some Subflance does not think. Felapton. Therefore if fome matter be the caufe of 'feveral cf~ fefts that affc,ar miraculous, whatever is the caufe of miraculous ejfefts Joes not think. Ferifbn. Of thefe Conditionals there are but five which in- ude the Major befides the Conclufion ; all the reft elude the Minor. The chiefeft ufe of thefe Arguments, is to ob- ge him with whom we difpute to acknowledg e truth of a Confequence, which he may granc ithout giving his confent farther , becaufe ic is lily propounded conditionally, and feparated from ke material Truth, as I may fb fay, of what it con- .ins. And by this means the Opponent is difpofed '< more eafily to admit the ablbliue conclufion rawn from thence, either granting the Antecedent: I gain the Confequent, or barring the Confequenc I' take away the Antecedent. Thus if any one grant me, that no matter .inks , I will conclude , that if the Soul of a 1'aft thinks, it muft be diftinft from matter. And And as hi cannot deny me this conditional cor on I may draw from thence cither the oneo the other of thefe two abftlute confluences But the Soul of a Be*Jl thinly* Therefore it * dijlmtt from matter. Ur contrary, But the Saul of a Be*/} it not JiJKnflfrom matter* Therefore it doe* not thinly From what has been faid it appears that thai) ought to be four Propofirions, to the end, thefi ifu of Arguments may be perfeft, and pro* Something abfolutely. And yet they are not 'to b laced in the number of Syllogifms,which are calfi .coaapob'd, becaufe thefe four Propofitions contair nothing more in Sence , than the three Propofui on? ot a commorv Syllogifm. Ni matter thinly , Every Soul of a Beaft is matter, Therefore no Soul of a Bead thinly. CHAP. XIV. Of Enthymcme , and Enthymematick Sentences. WE have already faid, that an Emhymeme is a Syllogifm perfect in the mind, but imper- fect in the expre&on ; . becaufe fome one of the Propofitions is fuppreft, as being too clear and com- mon ; and eafily fupplied by the underftanding of thflfe with whom we difcourfe. This tap. XIV. Tbe Art of Thinking. 185" This manner of argument is common in di jr(e and writing, that ir is a rare thing to find all : Proportions expreft, as being fo evident that iy may be eafily fcppos'd ; befides that it is the de of human wit to chufe rather to have fbme- Ing left that may be fupplied , rather than to be ght to want Inftru&ion in every thing. u that this fappofition flatters the vanity of thofe i whom we difcour(e,while ue remit fomething leir own Under (landing, and by abridging our ourfes, render it more fman and emc^ctbu*. example, if from this verfe of Media, in Cvi4 9 ch contains a moft elegant Enthimeme. 'ervare potui, perdtre an pojjim rcgas 2 Any one fhould make an argument in Form, r this manner. -Ie that can preferve tkee t can deftroy thet, ut I can prefers thce, 'here/ore lean deftroy tbee. -Ie had certainly dKpoii'd it of all its Elegancy, the reafbn of it is, becaufe as it is one of the ncipal Beauties of dHcourfe to be full of Sence, to give an occafion to the Under (landing to m a Thought more extrnfive than the Exprefli- Ib it is on the contrary, one of the greatcft dc- encies to be void of Senfe, and to fpend multi- :ity of word* upon a few thoughts *, which is al- >ft inevitable in Philofophical Syllogifms. For Morions of the Mind being more fwift than thcfe the Tongue, and one of the Propofitions fuffi- g for the undcrftanding of two \ the expreflion cf of the fecond becomes unprofitable, not contain- ing any new Sence. And this is that which renders thefe forts of arguments (b rare in th( converfacion of men j becaufe without making' any Reflexions, we preiently quit that which L tedious and trcublefome , and betake our felves to what is precisely neceflary to be underftood. f Enthymemes then are the ufiial way of rea- foning moft common among Men , fupprefling thd propofition which they judg may be eafily fup- plied ; and this propofition is Ibmetimes the ma- jor, lometimes the minor , and (bmetimes the conclufion: altho then it be not properly called an Enthymeme,when the whole force of the argu- ment is included in the two firft Proportions. It alfo happens (bmetimes, that the two Pro- portions of the Enthymeme are included in OIK propofition, which for that realbn Ariftotle cal an EnthymematicI^ Sentence, of which he gives thi Example. Immortal anger bear nothing Mortal : which whd Argument would run thus : He that is Mortal cugl not to bear Immortal hatred j but you art Mortal, Then fore bear not Immortal hatred. CHAI CHAP. XV. f Sytlogifms compos d of more than three Propofitions. rX 7" E have already intimated, that Arguments f \ compos'cf of more than three Proportions e called Sorites. They may be diftinguifhed into three forts : i. jfo Gradations, of which we need fay no more mn what has been already (aid , in the firft Chapter, third Part. 1. Into Dilemmas of which we (hall treat in the blowing Chapter. 3. Into thole which the Greeks call Et;:hfrmas t 'hich comprehend the Proofs either of one of the RTO firft Proportions, or of both together. And f thefe we (hall difcourfe in this Chapter. Now in regard we are bound to fupprefs in ciP ourle certain Proptfitions, which are lo clear that othing can be clearer ; it is alfo fbmetimes requifite D advance uncertain and doubtful ones, and to join roofs to 'em at the feme time, to prevent the Im- /atience of thofe we difpute with, who are offend- d fbmetimes when we go about to perfwade 'em >y reafbns which to them appear falfe and doubtful j or though the quarrel be eafily afterwards neon- iled, yet is it dangerous to provoke the Minds of ;he Auditors, though it be for never fo little a while. And 16 it is much better that proofs (hould immedi- ately *88 Logic: Or, p artl[] ately follow doubtful queftions,than that they fhouj be feparatcd from them. Which ^ration prod l cesalfo another Inconvenience, rhat we are boun ro repeat the propofition which we endeavour t prove And therefore wherea* it h the method c the Schools to propound the Argument entire, an afterwards to prove the Proposition which receive the Difficulty, th.it which is ufual in ordinary <$\ courfe, is to join to doubtful Proportions th Proofs that confirm 'em which makes a fort o Argument composed of feveral Propofitions Fo to the Major are the proofs of the Major joined, t< the Minor thofe of the Minor, and then come the Conclufion. Thus the whole Oration for Uilo may be rd duced into a compound Argument, of which the Major is, that it is lawful to kill him that lies in wait for my Life. The proofs of this Ann* ment are drawn from the Law of Nature da Law of Nations and Examples. The Minor is that .Cfotoff laid wait for Mtio's Life, And tb proofs of the Minor are .(he .Equipage of ct> dw his Train, & e . The Concluiion is, that it was therefore lawful for M/o to Idil him. The proof of Original Sin is deduced from the rrnferies which Infants endure, .according to Dialcdbcal. method in this n^nrrr. Children could not be bom mil >,!. . , but by the pimifamem of fome Sin vn ; n \ f rora their Inrancy. But they are'mifcuble, therei c it is by reafon of ordinal Sin. Now the AJajor and the ^Chap. XV. The Art of Thinking 2 g 9 2,90 Logic : Or, Part IIL " our fir ft Parent, to (ay that we were only born to ** fuffer the puniftiment of fbme crimes which they " bad committed in another Lite,and in like manner-. " that our Souls were conjoined to corruptible Bodies, , " according to that fort of punifhment, which the " Tyrants of lufcany cauled thofe to fbffer whoai " they ty'd alive to dead Bodies j but that opinib* " that the Soul is join'd to the Body for the puniili- *'* ment of crimes preceding in another Life is reje- " cled by the Apoftle. What remains then but that "either the Injuftice or the Inability of God,or the^ " punifhment of original Sin, muft bs the caufi " of (b many diffnal miferies ? But becaule God is] "neither Juft nor Impotent, there only remains; "that which you are unwilling to acknowledge^ " but you muft acknowledg it whether you will of " no i that this fame heavy yoke which the Sons oi@ c< Adam are obliged to bear,from the time that theyji " are delivered out of their Mothers Womb, till th " day that they enter into the womb of their conwj " mon Mother, the Earth, could never have beo>>: " had they not delerved it for the Sin which they- c * derive from their Original. CHAP. XVI. WE may define a Dilemma, a compos'd Ar- gument, where after the divifion of the whole into parts, we conclude negatively or affir- matively, of t|je whole that which is concluded of every part, I fay, Chap. XVI. Tke ArtofThinki^. I fay that which* conduced of every p ar > and noc hat whch is only affirmU For thaf is cX pr I berly called a Dilemma, when that which is fiS very part is fuftain'd by its particular keafe For example being to prove, ^ 4 M, www , 4it may be done by thisz>,7 our fehtt to our P a ffi oni , , ifar , t rentiers us Ignominy nof are sjiea. If we war againfl 'em, we are mifrdle- ; in revtrd *re u nothmg more fainful and l r^ cr If we would prove, that fuch Bfiys who do not lour for the Salvation of Souls commuted to their T n v tneXa ' f " ble Hore G d > " raa ^ be d ne ? this Dilemma. Either they are caf^k of that charge , or they e uncafable ; If the) are capable , they are ineffable for t employing their farts in the execution of their arge. If they are uncapatie, thy are inexcusable for tm- a^ng Jo important a charge which they arc not We to undergo. Logic : Or, Part III. And by confiquence, which way foever you take if, they are inexcufable before God, if they do not attend with diligence the fahation of the Souls that are com- mitted to their charge. But there are fbme obfervations to be made up* on thefe forts of Arguments. The Firft is, that all the Propofitions are not al- ways exprefled : For example, the Dilemma which we hare proposed was comprehended in a few words in the Oration of the Lord Charles at the en- trance ot a certain perfbn into the Provincial Coun- cils, if you are uncapable of fo great a charge, why fo am- bitious ? If fit for it, why fo negligent ? Thus there are many things fubintellected in that memorable Dilemma by which an ancient Philofb- pher prov'd. That no man ought to bufie himlelf in public Affairs. If anyperfon ai well, he will offend men ; if he . P Laces of Arguments,fb cali'd by the Rhetorici- ans and Logicians are a ream General Heads, under which may Be brought all the proofs which are made uie of in the various matters of difcourie and that part of Logic which they call Inventicn, is nothing elfe, but what they teach concerning thefe places. I(amus quarrels with Ariflotle and the School-men, >ecaufe they difcour/e of places after they have gi- ven the rules of argumentsjand he affirms againft'em, hst they fhould firft explain what concerns Place? md Invention before they lay down the rules of Brgument.^um0's reafon is,becaufe Matter is firil to be found out, before we think of difpofing it. But this reafon is very weak : For though it be very rcquifue,thallvlmer fliouid be found out for difpofition, yet is it not neceflary to teach how to ind out Matter, Before we know how to diipofe i:. For to teach the difpofition of Matter, it fuffices to lave certain general Matters to (erve for examples. 3tfides,that the Underftanding and common Sence kffords matter fufficient witliout going a begging to Art or the Method of Invention. So that it is true, that we ought to have Matter ready to apply O 4 to 2-9^ Logic : Or, Part II ro the rules of arguments but that there is an neceffity to find out this matter by the method < places, is a meer falfity. We may rather urge uinrilian and all the other Hhetoricians,AnJlotl and all the Philofbphers fing the fame fong, fo tha they would almoft prevail with us to agree witl them, were they not oppos'd by univerftl expo rience. We might produce almoft as many Witnefles a there are perfbns who have run through the ufua coui fes of ftudy, and have learnt from this artifici- al method to find out proofs, as they are taught in Colledges. tChap. X VII. The Art of Thinking. 1.9 7 fcolledges. For is there one thac can truly af- firm, that when he was oblig'd to any fubjefr, that the ever made any Reflexions upon thefe places, oc Bought thofe reafons which he wanted from thence ? Let 'em confult all the famous Pleaders and iPreachers which are in the World j and all thofe numbers of Writers and Difputers, who never are pumpt fb dry, but that they could ftill fry more j queftion whether there will one be found that ever o much as dreamt of Places from the Caufe^ Places om the Ejfeft, Places from the AdjunEt to prove what icy defired to perfwade. Han alfo notwithstanding the great efteenv fhows for this Art, is obliged nevertheless acknowledge that there is no neceflity, when & nan handles any fubject to go and knock at the: oor of all thefe Places for Proofs and Arguments/ et the (ludicui of Eloquence mind this alfo, that^ h(n matter of Argument is propos'd, there is no ne* jfitj to fearch all the fever al places, and at it were-- go from door to door to kpottr whether they wifL nfteer to what we intend to prove. True it is, that all Arguments may be brought nder thefe general Heads and Terms which are. illed Places ; but their Invention rs not to be a- Tibed to this method. Nature, confederation o- le Subject , and the fore-knowledg of various. ruths lead us to thofe probations ; and at length Arc educes 'cm. to certain Genus s. So that we may ruly fay of thefe Places what St. Auftm pronouncctF general concerning Rhetoric. We find, faith. Oy he,. Logic : Or, Part III. _ he, that the Rules of Eloquence are obferved in the Difeourfcsof Eloquent perfons,though whether they know 'em, or know 'em nor, they never think of ,03. They prattife thefe Rules, becaufe they are Eloquent, but they do not make ufe of 'em to attain Eloquence. We naturally walk as the fame Father observes and in walking, we move regularly with our Bodiei But it would be ridiculous for a Mafler of waling pretend to tell us, that the Animal Spirits were . fee fent into certain Nerves ; that fuch Mufcl were to be moved j or to teach us, to move fac joynts, and to fet one Leg before another. 'T true, Rules might be given for all thefe things bu that thefe actions (hould ever be performed by th help of any rules were ridiculous. So in commo difcourfe all thefe Places are made ufe of ; nor ca any thing be faid but what may be referred to 'en But it is not anexprefs Reflexion upon thofe Pint that produces our thoughts ; fuch a reflexion fe ving rather to flop the Career of Wit, and pre venting it from finding out more natural and e ie<3ual Reafons , which are the Ornaments Dj/courfe. Virgil m his Ninth Book of Amid, , after he ha rr p relented Zwyalut furprized and environed by h iinc m ies,who were ready to revenge upon him th ueath of their Friends, whom J\y^, the Friend o m-yak* had ilain,puts thefe words full of paffionan iicc^on into the mouth of N/k aic Chap. XVII. The Art of Thinking. Me me. id[um slut fed t in me convert te fcrrtim O /(////;, me a fram omnis ; mill ifta. nee aufitf, Nee fotnit. Cesium hoc & fider* Cat/cut t eft or Tantitm Lifeltcsm nimium dilexit Amicum. Says fymtss, this is -an Argument from the tPici- caufe. But we may fafeiy fwear,that Virgil ne- drcamt of the Place from the Efficient Cd/y the means of their Tables. Now fuch a bopioufhefs is fo far from being advantageous, it there is nothing more hurdul to' the Judg- it. Nothing hinders fb much the growth of good Is as when they are over-grown with Weeds. lothing renders, a Wit more barren in true and thoughts than this evil fertility of low and ion Notions; Tfie 3o Logic : Or, Part III. The Witaccuftoming it felf to that facility- an never forcing it felf to find out proper, particula and natural Reafons,which never difcover themfelvf but in attentive Confideration of the Subject. Befides we are to confider this copioufnefs i Place to be of no advantage ; as being feldom want ing to the moft part of the World. For men oftei become blameable for loquacity, feldom for wan of faying too little. So that their Writings are moj times too full of matter. And therefore to form folid and judicious Eloquence it would be mud more to the purpofe to teach men to hold thei tongues than to talk,and how to retrench low, com mon and falfe Notions, than how to produce a they do , a confus'd oglio of good and bad At gumenrs, with which they fill their Difcourfes. Seeing then the ufe of thefe Places is ferviceable t< no other end than to find out thefe forts of trafh] Notions, we may fay, that if it be any way neceflar to know what has been (aid of 'em (for they hav< been the difcourfe of fo many eminent Men, that i would bealmoft a crime to be altogether ignorant o n) 'tis only to be convinced how ridiculous it woulc be to make ufe of 'em in all things, even in thotf which are moft remote from our Sight, as the Lul lifts do by means of the general Attributes, whid are a fort of Places ; and from thence to boaft a pre- pofterous facility to difcourfe of all things, and to give reafons for all things, is fo bad a Character of Wit, that it is below the irrationality of Beafb. So that all the advantage that can be drawn from ibefe :hap.XVIII. The Art of Thinking. 301 ?iefe Places is no more than to get a flight and gene- kl Tinfture, to the end that without much think- hg, we may view the feveral Parts and Facts of he matter of which we difcourfe. CHAP. XVIII. The Divifion of Places into Places of Gram- mar, Logic and Metaphyfics. THEY who have treated of Places, have di- vided them feveral ways. That divifion which Cicero followed in his Books of Invention,and fecond, de Oratore, and Quintilian in his fifth Book ot Inftitutions, is lefs Methodical, but more proper for Pleading at the Bar, for which it is purpofely defigned. And X*mui is too much perplexed wicn Subdtvifions. There is therefore another of a certain Germ An Philofopher that feems more accurate ; this \sClau- lergius, a perfon both folid and judicious, whofe Logic came to my hands, when I had began to Print this. Thefe places are drawn either from Grammar, from Logic or Metaphifics. placet Places from Grammar. Grammar, Places from __ produced fornc under oih "'7^ e a ' rea d/ ^^^^^liid faffs :hap.XVIII. The Art of Thinking. 303 Us all Men, happens aljo to the tnoft Potent. For they nnot pretend to advantages above Humanity. a. ~By defraying the Genus, the Species is deftroyed. 'e that never judges at aS, never judges amifs. He that everfpeaksat all, never Jpeakj Indiscreetly. 3, In deftroying all the Species , the Genus is de- royed. Terms tailed Subftantial , except the rational oul, are neither Body nor Spirit j therefore no Sub- net. 4. If the total difference may be denied or affir- ned of any thing, the Species may be denied or med. Extent is no t&ay agreeable to thought t there- 'are it is not Matter. 5-. If the property of any thing may be denied or ffirmed, the Species may be alfb denied or affirmed. being impojjlble to imagine the half of a Thought, nor a ound or afquare Thought, it is impojjible itJJyould be a tody. The thing defined is denied or affirmed, of which he definition is affirmed or denied. There Are few berfonsjuft, becaufe there are ft IP perfcns willing to give to every we their due. Places of Metaphfjcs. Places of Metaplyfics, are general Terms agree- ing with all Beings, to which many Arguments are referred, as Arguments from the Caufe, Ejfeft, Whole, Parts+ Opfofites. Wherein lhat which is molt ufeful is to know fomc general Divifions, and chiefly of Caules, The 304 Logic: Or, Part II The School-definitions of Caufes in General that a Caufe w that which f reduces an Effett ; or tha whereby a thing K, are fo flovenly, and it is fo diff cult to di/cern how they agree with all the Genus of caufe, that they would have done better neve to have feparated this word from fuch as cannot b defined j the Idea which we have of it , being a clear as the definitions which they give. But the divifion of caufes into four Sfeciu which are the caufe final, Efficient, Material anc Formal is fo celebrated, that it behoves us to take i little notice of it. The final caufe is called the end for whicl: a thing is. There arc primitive ends which are primarily confidered, and Secondarie ends, which are confi- dered Secondarily. What we act to do or obtain a thing, is called the end for whofe fake. Thus Health the end of Phyfick, becaufe it pretends to procure it. The end for which we labour is called the Pints \ cui. Thus Man is in this Sence the end of Phyfic, for whofe fjke (he pretends to make Medicines. There is nothing more ufual than to draw Argtj. ments from the End, either to fliew that a thing is Imperfect, as an ill- contrived Difcourfe , when ?t is not adapted to perfwade, or to (hew 'tis probable that a Man has done, or will do, fome ad ion, be- caufe that it h conformable to the end, which he has accuftomed to propofe to himfelf. Whence that famous faying of a K^mm Judge, Cui Aw, which ought vhap XVIII. The Art of Thinking. 305 bght always to be our firft examination, that j, what profit a Man aims at in doing fiich a ling ; for generally profit and Intereft governs ic actions of Men. Or - elfe to {hew that we ught not to fufpeft a Man for doing fuch an ftion, as being contrary ro his Intereft. There are alfo feverai orher Arguments drawn om the end, which a ripe Urderftanding will fbon- r discover than all the direction of Rule?. The Caufe Efficient is that which produces ano- ber thing, from whence feverai Arguments are rawn to fhew that theEfftcl: is not,in regard the >aufe is not ftifficient ; or to fhew the effect is or pill be in regard the Caufes are apparent. If the aufes are not neceflary,the Arguments are not ne- eflary. If they are free and contingent, the Ar- ;ument is only probable. There are fevcralloits of Efficient Caufes,whofe lames it is ufeful to know. God creating Mam was the total Caufe, in re- gard that nothing could concur without him. But he Father and Mother are only the partial caufes > the Infants, in regard they want another. The Sun is the Proper caufe of Light ; but he is >nly the accidental caufe of the Death of a Man, vhom excefs of heat kills, in regard he was not of i ftrong Conftitution before. The Father is the next Caufe of the Son. The Grand- father the remote Caufe, The Mother the Productive Caufe. The Nurfe the Preferring Caufe. The Logic: Qr } ^^^^^. Crod is only the %'**/ caufe in refoeft of r Creatures, beuufe they are not of the na, U re An Artifr is the Principal Caufe of his Workma The Wind thaT fill/ "he 'organ -^' is the ^ twj/S/ caufe of the Harmony. The Sun is a Natural Caufr. that burns the Wood U the a Chamber is the prone Windo-,v ' ' The Man Aat fi-t it on Fire t. , 1 o the effioent caufe i s aifo a d de d the die U't ; , W A 1C V S ', h r M dd f^ the Work. As thedefign of a building, Ac Arch,,e *e Four- teenth the Exemplary caufe of his Pifture The material Caufe is, that out of which all That which the matter, agrees or difagrees with thofe Chap XVIII. The Art of Thinking 307 ||hofe things which are competed cut of ir. The formal caufe is, chat which makes the thing what it is, and diftinguifiies it from ethers. Whe- ther it be a Being really diftinguilhed from the Matter, according to the opinion of the Schools ; br only a difpofition of the Parts. By the knowledg rf this Form, Propriety is to be explained. There are as many different Effects as caufcs, the ivords being Reciprocal.The ufiia) manner of draw- ng Arguments from hence is to (hew, that if the Effect be, the caufe is, fince nothing cirnot be without a caufe. It proves alfb that a caufe is good or bad, when the Effects are good or bad. Which is not always true however in caufes by accident. We have fpoken fufficiently of the whole and Parts in the Chapter of Divifion , and therefore it will be needlefs to add any thing more here. There are Four forts of Oppofite Terms. Relatives, as Father and Son, Matter and Ser- vants. Contraries, Cold, Hot, Sound and Sick. Privaties, as Life, Death. Sight, Biindnefs, Hear- ing, Deafnefs, Knowledg, Ignorance. Contradictories which confift in one Term, and in the fimple Negation of the Term, to fee, and not to fee. The difference which there is between thefe two latter forts of Oppofites , that the Priva- tive Terms include the Negation of a Form in a Subjeft which is capable of it,whereas the Negatives do not denote that Capacity. Therefore we do not fay farft Book of ha Rl lmc , where he te.che, (everal Ihap. XIX. The Art of Thinking. 309 :veral ways to fhew chat a thing is profitable* leafing, greater or left. Though it be certain a man (hall never by this way arrive at any :rtain knowledg. CHAP. XIX. / the fever al forts of vicious Arguments which are call'd Sophifms. A Lthough that when we underfland the Rules [\_ of right Arguing, it be no difficult thing o dirtinguifli thofe that are falfe ; nevertheless as xamples to be avoided make a deeper impreifion our minds, than examples that are worthy imi- ation, it may not be amifs to lay open the four- es of bad Arguments, which are called Sopbifms, >r Paralogifins, whereby they may the more eafily e avoided. I (hall reduce 'em only to feven or eight Heads, icre being fome fb notoriously llupid, that they re not worthy remembrance. SOPHISM I. To prove another thing than that which K in qtteftion. This Sophifm iscall'd by Ariftotie, Ignoratio Elen- hi : The ignorance of that which is to be prov'd igainfl the Opponent. For in difpuce we grow hot, 3 1Q ____ hot when many times we do not underftand 01 another. This is a common vice in the difputes mong men. Through paffion, or falfliood we a tribute that to the Opponent, which is remote fro his thoughts, to combat him with more advantast or we tax him with confcquences which v think we can draw from his Doclrine, which r Jifavows and denies. All this may be referred . ic firft fort of Sophifm , which a man of won , n o w and lincenty ought to avoid above ail things. It were to be wifli'd that Anlotle^o is too car, noteo s too car, rul to admomfli us of this defetf, had been alfo -\ careful to avoid it. For it cannot be denied,bur tb'i he has cncounter'd feverai of the ancient Philol phers by citing their Opinions, not with that & centy which he ought to have done. He rc>W **nides and Me/.JJu;, f or not admitting but" or fo!e Prmcipic of all thing,, as if they had meant b that, the Principle of which they are compos'd whereas they meant the folc and only Princiol thlngS dl ' aW thclr On ' inal ^ He accufes all the Ancients for not acknowkdg ing Privation one of the Principles of natura iings - and I for that, he inveighs againft ' era a dull and ruftic. But who fo blind "as not to fee at what he reprefents to us as a grand rnyfWno known till he difcover'd it , could never be con ceald from any man : fince ic is impoffible for man not to apprehend, that the matter of which Table is made, muft have the Privation of theforrr that there is in this Argume a maniteft begging of the Principle. For we find heavy things tend to the Center of the Earth, 1 where did Anftotle learn that they tend to the Ce ter of the world, unlefs he fuppofe the Center o the Earth and the Center of the world to be th' fame. Which is the Conclufion that he woul< prove by this Argument. Meer beggings of the queftion alfo are thofe Ar guments which are made ule of to prove a whimfi ca : Chap. XIX. The Art of Thinking. 3 i ; lea! Genus of Subftanccs, calk-d in the Schools Sub- ftntMt'&rmt, which they would have to \y Cor- *eal though they are no Bodies, which is difficult Underftandmg ro apprehend. If there were Mw Subftannal Forms, fay they, there would be no iGeneration L : But there isGenerarion in the World ^hcrefore there are Subftamial Forms. Now to ftew that this Arguments a meerBee- ?i:-g of the queftion, there needs no more than ^o ay open the Equivocation that Ijes in the word Teneration. For if we muft urderftand by th~ mrd Generation, a natural production of a nc -..- m Nature, as The Pro8u5Hon of a Hen,which form d in an Egg, in this fence we may truly .low of Generation ; bur we c.nnot thence con- lude that there are ne* Subfcantial Forms, becaufe he fole Difpofit.on o[ the Parts by nature, may pro- uoe thofe * m&*. But if rhey meL K vori Generation, as they ufually do, the Produai n or a new fubftance which never was before th^r ; ro fay,of SubftantiulForm, We may juftly lub ie thing that is ,n queftion, ic being vi(ib' e tha e who denies Subftamial Forms can never e hat nature produces Subftantial Forms. And I far th,s Argument from perfwading a man to admit ubftantial Forms, that he may draw a quite con- ary Conclufion in this manner. If 'here vereSxlflnntial Forms, Uattn m hlt p ro . duce Subftances that never were before. Sut Nature cannot produce n e(P SrMancet. mmit/i ha - /. . J s* ~ > . 314 Logic : Or, ParcIIL And therefore there are no Sulftantial Forms. Of the fame leven is this : If there were no Sub- ftantial Forms, fay they, there would be no fuch natural 'Beings at all, as they ca.\\perfe> Tctumperfe, 'but Beings by accident. But there areTota orM'uolet perfe ; Therefore there are Subftantial Forms. Firft we are to defire thole that make ufc of this Argument to explain 'themfelm, what they mean by fPhole per fe, totum ptr fe. For if they mean, as they do, a Being compos'd of Muter and Form, then it is clearly a Begging of the que; ftion j for then it would be as if they {hould have; faid, if there were no Subftantial Form?, natural] Beings could not be compos'd of Matter and Forms f Subftantial. But they are compos'd of Matter ancj Forms Subftantial. Therefore there are Forms Su ftantial. If they mean any thing elfe let 'em tell and we (hall fee whether it will avail to mainta their conclufion. We have ftopp'd here a Hide by the by,to the weaknefs of thefe Arguments, upon which t Schools have grounded thefe forts of Subftanc which can neither be difcover'd by the Sence, n apprehended by the Underftanding, and of wh we know nothing more, but that they are cal Subftantial Forms. Becaufe that although their Supporters do it , ^ of a good defign, neverthelefs the Grounds wh they make ufe of, and the Ideas which they g of Forms obfcure, and trouble the folid and co Voicing Proofs of the Immortality of the So Wh Chap. XIX. T/x Art of Thinking. 3 i 5 which are drawn from rhe diiHnclion between Bodies and Spirits, and the Impo/fibility thai a fub- ftance which is not matter fliould periih by tl e Changes that happen to matter. For by the means o thefe Subftantial Forms, LOmrtim* furnifh them- feives with examples of Subftances that perifh which are not properly M-irrer, and to which they attri- bute m Animals an Infinity of thoughts, that is, of adrjons purely fpiriiual. And therefore it i? for the benefit of Religion, and the Con vision of Infidels i to overturn this Anfwer of theirs, to (hew that there is nothing more ftupid nor worfe grounded, than tele penfhable Subfhncts, which they call Sub- |ftantial Forms. To this m.iy be referr'd that fort of Sophifm which L, drawn from a principle different from what is in the quefbon, but which is known to be no lels (conteiled by the Opponent. Thefe are two Maxims qualiy cpnfrant among the Catholicks.The one that ill pomrs ot raith drift be prcv'd'by Scripture alone - other, that Children are capeble of Baptifm crerore an Anab^tjl wou!d argue ill, Co prove lagamft the Catholic^ That they are in the wrong |D believe that Children are capable of Baptifm^- :aufe we find nothing to prove it in Scripture - be- - :aufe mat would (uppofe that we ought to believe 4 10 Article of Faith but what is in the Scripture, Which is denied by the Catholics. Laftly, we may refer to this Sophifrn, all thofe Arguments, by which we endeavour to prove one ling unknown, by another altogether as much un- P * known, 31 6 Logic: Or, Part IIL known, or a thing uncertain by another thing alto- gether or more uncertain. III. . To take for the Caufs that which is not the Caufi. This Sophifm is called non Caufa fro Caufa. Thi is very ufual among men, and they fall into it feve ral waysThe one through the bare Ignorance ot th real Caufes of things. Thus the Philofcphers hav attributed a Thouland Effects to the Fear ot Vacuum which at this day and by moft ingenious Experi- ments is dcmonftratively proved to have no othe Caufe than the Ponderofity of the Air, as we ma fee in that excellent Treatifc of Monfiqur Pafa lately Printed. The fame Philofophers teach us that Veflels full of Water, crack when the Watd is frozen,becaufe the Water clofes it felf,and leave a void place which Nature cannot endure ; wherea it is well known, rhat thofe Veflels break, becauf the Water when congeal'd takes up more fbace thai when fluid ; which is the reafon that the Ice fwim upon the Water. To this may be referr'd that other Sophifm,whe we make ufc of remote caufes, and fach as prov nothing , to prove things either clear of themfelw or falfe, or at lead doubtful, as when Ariftot would prove that the World is perfect by tb Reafon. / The World is ferfetl becaufe it contains Bodies: Bcfy K ferfeQ becanfe it contains three Dimenfiont Cha p. X IX. The Art of Thinking. 317 he three Dimenfwns are f erf eel , becaufe there are all r 'quia tm Hint Omnia}, and there are all ^ becaifi we never nfe the Word aS 9 when the thing is either one or O) but there are three. By which reafbn a man might prove that the eaft Arcm is as perfecl as the World , bec?uie ic las three Dimensions as well as the World. But this s (o far from proving the World to be perfecl, that lie quite contrary is rarher to be aiTerted v that every \ody t quatfnw a Body, is 1 0ential!y imperfect ; and hat the perfection of the World confiils chiefly this , that it includes Creatures that are nor The fame Philofopher proves that there are riree fimple Motions , bec^ufe there are three Dimenfions. Though it be a very difficult thing. find a Conclufion from the Premifest He alfb prove? 3 that the Heaven is unalterable azui ncorruptib!e,becaufe ir moves Circularly. But fir ft v is not well dffcovered y-et v/hat Contrariety or Vlotion has to do with the Corruption or Altf ration >f Bodies. In the fecond place there is Ids Reuibn be given, why a Circular Motion from Euft Weft, fhould be contrary to a Circular Motion ,rom Weft to Eaft. In the fccond place we fall into this fort of Sophx- (ry through that filly Vanity that make* us afliarn'd confers our Ignorance. Frcrn whence it happen?,. iat we rather chufe to forge Imaginary caules of ic things, for v/hich we areask'd thereafbn, than ) confefs that we know it nor. And it is a pretty P kind Logic': Or, Part III. kind of way whereby we avoid this Confeflion of! our Ignorance. For when we fee the effect of a' C-iufe unknown we imagin we have di/covered ir, when \ve have joyn'd to this effect a general word of Vertue or Faculty which Forms in our mind no o.her Uea^ but only that the effecT: has fbme caufe, v/hieh we knew before we found out that word. Foi example, there is no body but knows that the Arte- ries bear, that Iron cleaves to the Adament, that Sent, purges, and Poppy Stupifies. They who make nc profeflion of knowledge, and who are not aftiamec of Ignorance , freely confeis that ihey know th< Effe6h,but underftar.d not the caufe, whereas other that would blu(Ji to (ay fo, and pretend to have dif covered the real caufe of effects presently cry, then is a pulfific vertue in the Arteries, a Magnetic ver tue in the Adamant , a Purgative vertue in Sena and a Soporific vertue in fty/jy* Now is not thi! quaintly refbl/d ? and might not the Chinefes whlj< as much facility have extricated themfclves from al their admiration of our Clock?, when fir ft bVoughJ into fhi'-Sr Couniry ? For they might have fuid the" knew oerk6tly the reafbn of what others were ( pu'z,Zi'd ar, by affirming that it was only by an L, Jicative vertue thar ri ; ,is Engin marked out thehouuj upon the plane, and by a Sononfic quality that thi tell ftrook. Certainly they might have pafled fc as learned Perfons in the knowledge of Clocks, '< \ our Philolbphers in caules of the beating of th Arteries, &c. There are alfb certain oiher words that lerve t;-; rcndc; Chap. XIX. "The Art of Thinking. 319 render men learned at a fmall expence, as Sympathy, .Antipathy and occult Dualities. Yet they that ulc 'em would utter nothing of falOiood , provided they annexed the general notion of the caufe to the words Vertue and Faculty j Whether it is Infernal or External, Difpolrive or active. For certain ic is+ that there is a Difpofition in the Mignet for wholib |fake the Iron moves to that rather than to any other ftone. I And men have been allowed to call this Difpofition whatever ir be, Magnetic Vertue. So that if they are deceived 'tis only in thi?, ihut they imagin them- lves to be more Learned than others tor having ' found out the word ; or elfe, bccaofe they would f have {jgnified by this word a certain imaginary quali- ' ty, whereby the Magnet draws the Iron , which neither they, nor any other Perlbn could ever ap- prenead in their underflandings. V But there are oihers who obtrude upon us for real c.iu(es of nature pure Chimeras^ the Aftrologers ; who refer aUcaulesto the Influences of the Stars. And thefe are they forfooth who have found out thui there muft of n^ ceflity be an Immoveable Heaven jijove all the reft of the Spheres which they allow motion ; because the Earth producing divers things in different Clime?, Non omnis fert omnia tel/W* |i India mittit ebtir j moHes fa* thura Sabnd, or fbme other Country which they have rnofF a peek at ; tho there be no reafbn that cithe Comets or Eclipfes fhould have any confiderabl eflFeft upon the Earth,or that general caules,qs the 1 a:e, (hould operate more effectually in one par more than in another,or threaten a King or a Pi -ina more than a Mechanic.befides that we find ahundrcc Ccmers that were never Infamous for any of tho(c Dire Effe$s laid to their cha:ve. For what if Mortality, Peftilences, Wars, Death; of Princes do fometimes happen after the Appear- ance of Comets and fight of Eciiples, they as oftcr happen without any fuch fignals. Befides rhefe ef fedts are fb general and common, that ic is much ir they do not happen in fbme part of the World ever) year. So thac they who talk at Random, that furf a Comet threatens the death of fbrne great Perfb- 1 , do not hazard their Reputation over much. Bu t Chap. XIX. The Art of Thinking. 3 1 r But it is far worfe when they give thefe Chime- { rical Influences for the caufe of the vertuous or i virious Inclinations of men, as alfo of the particular i actions and events of their Life, without having any t other ground, than only that among ten thoufand' r Predictions it falls out by hap-hazard that fbme-" one proves true. Altho if a man were to judge of thefe things rationally and according to gopd. t fence, he might as well fay that a Candle lighted in \ the Chamber of a Woman that lyes in, ought to 1 iihave a greater Influence upon the Body of the In~ ilant, than the Planet Saturn in whatsoever AJfcft or ^Conjunction it be. Laftly there are fbme, who affign ^Chimerical caufes of Chimerical effects ;.and fudr iare thofe who fuppollng that nature abhors a Va- .i|!cuiry,and that fhe, does her utir.oft to avofd ir/eigir; .V,more Fictitious caufes- of this Fictitious horrour^the ;r:cffecl it felf being imaginary, feeing rhat nature j;fears nothing, and that all the effects which are.: .i attributed to this dread of nature, depend upon the } Cole Gravity of the Air. Nature abhors a Vaewim^ i fays one of thefe profound Phiiofbphers,becaufe flie j has need of Continuity of Bodies to Tranflhrt her In- i fiuences,and for the Propaganda of Qi^ialities. A tnoft-: % iwonderful Science indeed which goes about to prove that 'which is not, by that which is not. Therefore when we fcarch tire caufes of extra- .4 ordinary eftecls, we ought carefully firft to examin fwhether the effects be true. For fometimcs we la- } bour to no purpofe to fenrch out the reafon of things- P 5* thu: 3- a 2. Logic : Or, Part III that are nor. Infbmuch that there are an Infirm number of queftions which are to be refblved, a Plutarch refolves this propounded by himfelf, Wk fuck Colt 3 as are furfucd by the Wolf are faifter tba others. For aftr he has faid, that perhaps the Wo might have aflailed the more flow of Foot firft,an fo they that escaped were the fwifteft, or elfe thi fear having added wings to their feet had imparte to r em that habitude of fwiftnefs which afcerwarc they retained, he at laft brings another Iblutio which feems to be very true and genuine; Perhtp lays he, the thing it felf may be aftory. And this the method we ought to oblerve in Philoibphizin concerning fundry effects which are attributed \ tre M>c, (uch as thefe, that the Bones are full < Marrow opon the Increafe of die Mocn ; but empt when fhe is in her wain ; And whereas alfo tfa is fliid of Crevices or Cray-fifh ; there is r ; anfwer to be made but that the whole is a FJ bie, as feveral Perfors very diligent and exadl: ha\ allured me, that as well the Bones and Cray-fi( are fometimcs empty ,fomttimes full in all the Qua; ters of the M>on. Many obfervations of this natui there are in relerence to the cutting of Wood,fov ing and gathering of Fruit, Grafting, and the vei moment when fit to take Fhyfic. But the world wi be delivered at length from theie little Bondage which have no other ground than nicer fappoftt ons that were never fcrioufly examined. And then fore they are unjuft who require us, without an Examination to believe their figments, mcerly uj Chap. XIX. The An of Thinking. 32,3 on one fingle Experiment, or an Allegation out of fome ancient Author. To this fbft of Sophiftry ought alfb to be re- ferred that ufual fallacy of Human wit, Pofl hoc> Ergo proffer hoc. After this, therefore for this. Hence . it is that the Dog-Star is concluded to be the caufe of the violent heat at that time of the year which is called the Dog-days, which caus'd Virgil^ ; tog of that Star to prcnounce thefc Verfes. Iffe fitim morlofque ferens mortaltbia agris Nafcitur, & lervo contriftat famine cxlum. . Whereas Monfieur Gajjendus has well obferved, hat there is nothing lefs probable than this vain magination. For this lame Star being beyond the Jne, the Influences ought to be ftronger m.ihgfe that lye more perpendicularly under ir. And et when the Dog days are fb vehemently hot with is, it is Winter in other parts : So that they beyond he Line may as well believe the Dog- Star to be the baufe of Cold, as we to believe it to be the caufe.af IV. S O P H 1 S M. . ImperfeEi Enumeration, There is no vice of Argument into which the Learned fall more eafily than into this of falfe Enu*^ neration , and of not duly confukring all the manners. 3M Logic : Or, Part III manners how things may be, or be cffc&ed, whic makes 'em conclude rafhly, either that it is nor, be caufe it is -not in fuch a manner, though it may b after another manner , or elfe that it is after fuch o iuch a manner,when it may be after another manne than they have yet thought of. We may find (everal of thefe defective Argu ments in the Proofs upon which GaJJendvt eftablifte the Ground or" his Phiiofophy, vi$ That Vacuum inter fpac'd between the Parts of Matter which h Cills his Difteminated Vacuum. And I am th more willing to produce 'em,in regard thatGa/c-W* having been a famous Perfon in his time, and of grea Knowiedg in the moft curious parrs of Learning,rh Errors and .Failings which are to be feen fcatterc into many great Volumes of his Works publifhe .iftcr his death, are therefore the more worthy tob known and dJPcuflcd : whereas it would be to n na.-pofc to fake ponce of the Errors fo frequent i Au:hors of no account. The- firft Argument which Gajfindus employs t ' rove \VrDiffeminatedVacuum^\\&. which he woul nakc us believe to be as certain -as a Mathematics Demonflration, is thfe, If there were not a Vacuum, but that the whol were fili'd with Bodfes , ihe motion would be im poflfib!e,and the world would be a meer heap of Stifj Inflexible and Immoveable Matter. For the Worl. being all full,no body could be movM but it csuft g> into the place of another. Thus if the Body A. b mov'd, it rnuft displace another Body at leaft tqur Chap. XIX, The Art of Thinking. 315- to it, w>j. B. and B. removing mud difplace ano- ther. Now this cannot happen otherwife than two ways : one that this difplacing of Bodies muft ex- tend it felf to Infinity, which is Ridiculous and Im- poflible : the fecond that the motion muft be Circu- lar, that ib the laft body rernov'd may fupply the place of A. Hitherto there is no imperfect Enumeration ap- pears : and it is true moreover, that it is a Ridicu- lous thing to imagin, that one body being remov'd Bother Bodies fucceflively by removing difplace one another to Infinity : Only they fay,that the rrotion is Circular, and that the laft Bodies being removed, i pofleffes the place of the firft which is A. and fo the whole is full. And this is that which Gajfcndw un- [; dertake* to refute by the following Argument. The firft Body removed which is A. cannot be moved, f if the laft which is X. do not move. Now X. > cannot move for that if it remain it muft poflefs f the Place of A. which is not yet void ; and fb X. I not being able to move, neither can A ; for which i: reafbn the whole muft be immoveable. All which *: Argument is founded only upon this Suppolition, : that the Body X. which is immediately before A. cannot be removed, unlels the pkce of A. be void before hand, when it begins to move. So that be- fore that inftant that it pofleiles that place,there may be (aid to be another which may be faid to be Va- I 1 CUUttJ. But this Suppofition is falfe and imperfedl:. For there is yet another cafe, wherein it is very impofll- ble Logic: Or, Part III, ble that X. may be moved, that is ro lay, that at the I fame inftant that it pofleffcsthe place of A, A. may : quit that place, and in that cafe, there will be nc inconvenience, if A. pufliB. forward, and B. thruftj j forward C till they come to X. and that X. at the j fame time pofefles the place of A. For by this means there will be a Motion, and yet no Vacuum. Now that it may be poflible that a Body may pof \ fefi the Place of another Body at the fame inftant J that the Body_ leaves it, is a thing which we are! obliged te confefs, in whatever Hypoihefis, provi-J ded only that we adrnit fbme continued Matter.! For example let us grant two parts in a Staft, im-:j mediately contiguous, it is evident that at the fame:! time that the place is quitted by the firft, it is pof-!| fcfled by the fecond, and that there is no inftanti wherein there can be faid to be a Vacuum. But this! is more clear by an Iron Circle that turns about irsl Cemer,for ihen at the lame inftant every part pof-1 ftfles the fpace which was quitted by that which'] went before, with that celerity that will admit no I Vacuum, fb much as to be imagined. Now if thisJ lie poffibie In a Circle of Iron, fliall it not be the J fame in a Circle partly of Wood, and partly ofil Air f And therefore the Body A. fuppofed to be of)| Wood, pufhing forward, and difpkcing the Body 1 1 b. fuppofed to be of Air, why may not B. difplace- 1 another, and that another to X. which (hall enter J into the place of A. at the fame inftant that A.I I quits it P :hap. XIX. The Art of Thinking. 317 It is clear then that the faid effect of Gaflen- w's Reafbn proceeds from hence, .that Gajfendus nought that one Body could not poflefs the Place of ic other, but that the place muft be void before- and, and in a preceding inftant j not considering sat there was the fame inftant of quitting and ofletfing. [ His other proofs are deduced from feveral experi- ments, by which he proves with good reafon that pne Air is comprefled,and that new Air may be for- hed into the place which feemed already full j as we fee in Wind-Guns and Bladder Foot-balls. j, Upon vhich Experiment he forms this Argu- Enent. If the fpace A. already full off Air, be ca- : iab!e to receive a new quantity of Air by Comprel- nr, of neceflity this new- Air, muft ehher be torcfd in, by Penetration into the fpace already Itofie&d by Penetration, which is impoflible ; or 'rife that- the Air which is enclofcd in A. does not hntirely fill the fpaeej but that between the parts , >f the Air there were certain void (paces, wherein I his new Air is received ; And this fecond Hvpofbejh rayshe.proves what I aim at, which is to make it our, j hat there are void fpaces bet ween the parrs of mat- r. But it is very ftrange, that GaffenJiu .&d not ipprehend that he reaibned upon a falfe Enumera- l:ion, and that befides the HjpotbcJJt of Penetration, iv. hich he had realbn to j uc ^g e naturally impo fi-ble, and that of facuums dominated between the 1 parts of Matter, there was yet a third, of which he fays nothing,and which being pofiiblc, is the reafon that Logic: Or, Part II] that his Argument concludes nothing. For w may fuppofe that between the thick and grofle parts of the Air, there may be another more fubtil rarify'd, and which being able to pafs through J] pores of all the Bodies , caufes the fpace whic i feems full of Air , to receive other new Ail For that this rarify'd Matter being chas'd out cj the pores through the parts of the Air which | forced in, gives way to the new Air. And indeed Monlieur Gajfindus was fb much rhl more obliged to refute this Ifyothefis, as admitting himfelf this fubtile matter which penetrates Bodies j and paffes through the Pores,in regard he affirm:] that Coid and Heat and certain little Bodies that er ; ter the Pores of our Bodies, and afferts the faro j thing, of Light, and acknowledges, in that famouJ Experiment made with Quick-Silver,in pipes fill'd uj 9 to the height of two foot three fingers and a hall) leaving fti 11 a fpace above that length which fceiu] void, as not being fill'd wkh any fenfible, matter j I fay he acknowledges, that fpace cannot he callec \ Vacuum^ as being penetrated by the Light whid < he takes for a Body. And fo by filling with fubtile matter thofe /pace: . which he takes to be void,he will find as much (pact for his Bodies to enter , as if they were afluallv void. V. of A thing vfah onlj agree, With it by acci- dent. This 2hap. XIX. Tke Art of Thinking. 319 This Sophifm is call'd in Schools Faltacia acciden' r,', the Fallacy of the Accident. When we draw \ abiolure Conc'ufion fimple and wkhout re- IHiiion from what is not trus but only by sccidenr. t"his is that which caufes fo many people to exclaim l^air.ft Antimony, becaufe that being ill apply'd t produces bad effects. And that others attribute to lloquence all thofe bad effects which the abufe of it reduces j and to Phyfic the Faults of Ignorant poctars. I But it is no Sophifm, as the Papifts pretend, when ged againft thofe Inventions of Satan, Invocation IF Saints, Veneration of Reliques and Praying for it dead which were never of any antiquity, but jperftitious cheats impos'd upon the people by opes far remote from Antiquity in the limes f darkefl Ignorance and Impie:y. We alfo fall into this vitious way of arguing hen we take fimple occafions for real caufes ; as we fhould accufe the Chriftian Religion for ha- t'ing been the caufe of the Mftfiacre of fb many lukitudes, who rather chole to fufFer Death than enounce Chrift ; whereas we are not to impute iofe Murders to the Chriftian Religion, nor the Conftancy of the Martyrs, but only to the Injti- tice and Cruelty of the Pagans. We alfo fir.d a confiderable example of this ophifm in the Ridiculous Arguments of the ificurcans, who concluded that the Gods had hur nan fhape, becaule that only man is endued with leafon. The 130 Logic : Qr, _ Part II Go^, % they, are mo ft happy. None 11 Form; we muft therefore confefs the Gods to h'\ human fhape. ' But they were ftrangely blind, not to fee th th! bubitance which t'ninks and reaftns,may bejoyne. to the Body; 'tis not human fhape that"caufe| Thought and Reafon in man. It being ridiculous t-i imagin that Thought and Reafon depend upon ' mans having a Nofe, a Mouth, Cheeks, two Arm! wo Hands, two Feet. And therefore it wasaChii diih Sophifm of thofe Philofophers to conclude tha there could be no Reafon but in human fhape=; jj being only joyn'd by accidents to human fbape ii Man* VI. To pafs from fence dMd to f cnee comfoj ^ ey f .^ face composed to fence divided. The one of the Sophifms is called Ftlfaia Com- ttftioms, fallacy O f Condon- and the other Fallacy or divilion , which are both apprehended better by examples. Jefw Clvift faith in his Gofpel, fpeakimj of his Miracles, The S/;W fee, the Lame walk,, the Deaf bear, J his cannot be true, while we take things :parately and not conjoyntly, that is to fay, in a fence divided, and not in a (ence compos'd. For the blind fee nor, while they are blind, neither do the (hap XIX. The Art of Thinking. 3 3 1 p deaf hear, while they remain fo ^ but after they Ad recovered their fight and hearing by the Mi- jJFjles of Chrtft they both heard and law. tin the fame fence it is laid in Scripture that God Stifies the wicked. Not that he accoreprs thofe for I who abide in their wickednefs , but that by his race he juftities thofe who were Impious be- te. On the other fide (here are fbme Proportion?, lich are not true but in a fence cppos'd to that iich is the fence divided. As when St. Paul rs, that Slanderers, Fornicators and Covetous men all not enter into the Kingdom of Heaven. For s not meant that none of thofe who are Guilty of ofe vices ihall be faved j but only thofe who re- ain impenitent, and obftinately go on in their fins all not enter into the Kingdom of Heaven. It is manifeft now that there is no TVandtion from e of thefe fences to the other without a Sofbi/m* nd for example, it is apparent that they would gue very ill, that fhould hope for Heaven, that rfevere in their fins, because tliat Chriil came to ve iinners, and becaufe he fay?, that wicked wo- en fhall precede the Pharifees in the Kingdom of eaven ; feeing that he did not come to fave fin- rs abiding in their fins , but to. teach and admo- fh 'em to forfake their fins. VII. ' pafi from what is true in Jome refyeft to tthat it fimfly true. Logic: Qr, p arc This call'd in the Schools ^ JiBo fecun&im diftrnn fimpliciter. As for example the Tove^that the Gods had human fliape, been there is no form fo loveiy as that, and for that tltet is lovely ought to be in God. For human for is not abfolurely Beautiful, but only in refp<-& otner Bodies. And fo being a Perfection only cundum quid, or in fome refpe& and not limply " does not follow that it ought to be the flnpe ^od, becaule'aH perfections are in God, there mg no perfections buf whar are fimply fo, that which exclude all manner of Imperfection, that ca be afcribed to God. We find alfo in Cicero, Lib. 3. de Katura Deorun .Jdiculous Argument of Cteta, againft the Ex fence of God, which may be reduced to this S phtfm : Hm t fays he, can we conceive God, when * can attribute no venue to him ? for Jh all tve fay that h hat ? Prudence confifts in the choice of * n !: now Gcd can have no wed of this choice,* being capable of any m7. Shall we fay that he h Under/landing and tygfin? we makf ue of Vnderftan ing and t^afon to difcover what is unfanvi to us by h we know : notv there cm be nothing unkpoam to Go Nor can Jnjlicebe in God *hich only relates to Huma Society: Nor Temperance, becaufe be km no tleafur^t govern ; nor fortitude, for that ^in never oppress God nor labour vearies him ^ and befil es be is expol^ to danger. How then can that btGod, which hat neithe undemanding nor vertm ? Nothing '-hap. XIX. The Art of Tkhking. 3 3 3 LKothing can be conceived more impertinent than Lk manner of argning.For thus might any Conn- ly man difcourfe, who never baving leen any other ian Tharcht Houfe?, and having heard that in Gi- ps there are no Houfes covered v;irh Thatch,fliould lence conclude that there are no Houfes in Cities, lid that they who live in Chies live mifenvbly ex- pfed to all the Injuries of the Weather. For thus bus Experiments which we make that Gold es nothing in the fire, gives us reafon to Judge at this is true of all Gold. And in regard 2 never met with any pejple but what fpoke, 2 believe that all men fpeak, that is make uie Sounds to fignifie their Thoughts. From Logic.'- Or, Part II From this Induction alfo all our knowledge tak its rife,in regard that particulars prefcnt themfeiv to us before Univerfals ; though afterwards V make ufe of Univerfals to underftand particulars. Howe'ver ic is equally certain, that Indudion lone is never any allured means to acquire perfe knowledges we Hull denionftrate in another pla< The confideration of Singular?, affording an oppo tunity only to the undemanding to be more atte tire upon natural I&w,according to which v/e Jud of the Truth of Generals. For example,! fliouid r ver have thought of confidcring the nature of a T angle, had I never (ccn a Triangle which gave an occafioti to thirjk of it. However it is notthe | ticular Examination of all Triangles which m; me conclude generally and certainly of all, that fpace which they comprehend is equal to that a Rectangle of all their Bale, and the half of t Height (tor this examination' would be impoffi but tke fole confideration of what I know is inclu in the Idea of a Triangle which J find in my derlianding. However it be, luving revived to treat of matter in another place, it fuffices here to fay,i defective Inductions, that is to fay, fuch as are entire, are the caufcs of manifold Errors. 1 (halt ly produce one memorable Example. All Philofbphers to this day , have held it for i unquestionable Truth , that a Pipe being ftoppi, it was impoflible to pull out the ftoppel wuhc breaking the Pipe, and that water might be for4 ut o 3bap. XX. The Art of Thinking. 337 is high as a man' pleafes by the help of Crifitian engines called Afprait Pur*};. \ And that which rnade 'era fb confident was, that they thought thern- elves affured of it by a moft certain Induclion, as saving made an infinite number of Experiments, ^ut both the one and the other is found to be faffe IT that new Experiments have face been rr.ade thac Stopple may be drawn out of a Sip/jon never fb ell ftopt without breaking the Pipe, provided the rce be equal to the weight of thefyltn&r of the arer, thirty three foot high , and of the fame icknefs with the Pipe : and That in Pumps afpi- nt the water does not afcend bigfier than from irtj two to thirty three foot'. CHAP. xx. / lad rcafw'w^ in.Civil Converfathn and , : -commex Difccurfc. fTItherto we have fhewn Examples of falfe Ar- ' in gumehtations in matters of Science.Bui bcc.iufc iie principal ufe of reafon does not conli!} in acqiiN ing Sciancts that, are of Ihtle ufe for the conduct of veli iifing, wher^trtic is ofdangerous ccnfequence . o be:d.t*eivd; ic will be : of.much more advantage o coofidsr generally, that which engages men into | 'hde -faife Judgments which are made of ail forts of t f ihing?, .and blind .men with prejudice in matters Q .chjeflf 338 Logic : Or, Part III chiefly importing manners, and conducing to tb Government of Civil Life.and are the general Sub je&s of our Common Difcqurfe. But in regard thi defign would require a Treatife by ir felF, whic would comprehend almoft all Morality ; we flia only mark out here in general a part of the caufi of thofe falle Judgments that are fo common amon Men. We (hall not here fpend tirhe in diftinguifhing fall Judgments from bad reafoning ; as well for that fall Judgments are the fburces of bad Reafonings,\vhic they draw after 'em by a nectflary Confluence ; i alfo for that there is for the rnoft part an implici and latent Ratiocination in that which to us appea a fimplejudgment,there being always fomething th ferves as a Motive and Principle to that Judgmer For example, when we fay that a Stick is crooked the Water, becaufe it fb appears to usj Thisjud; ment is grounded upon this general and falfe Fr pofition, that what appears crooked to our fences crooked indeed, and fo includes a reafon which do not difplay it felf,generally therefore confidered, ti , caufes of our Errors may be referr'd to two head the one internal, which is the Irregularity of q will, that troubles and diforders our Judgment ; t: other External, which confifts in the Cbje&s : what we judg,and which delude our underftandi ; by a falfe appearance. Now that thete caufes s; feldom feparated ; neverthelefs,there are certain I- rors wherein the one difcovers it (elf more plairr than the other 5 and therefore We (hall treat of '< a part. 3hap. XX- The Art of "Thinking. 339 Of the Sophifms, of Self-love, Intereft and Pajfioit. If we carefully examin why fbme men (b obftP lately dore, rather upon one Opinion than another, ve (hall find it to be not through any penetration in- o the Truth, or the force of Arguments, but fbme ngagement of Self-love, Intereft or Paflion. This s the weight that weighs down the Ballance, and , vhich determines the moft part of our doubts ; his is that which gives us the greateft ftiogg to our udgments, and ftops the career of Confutation. jyVe judg of things not as they arc in themfelves, )ut as they are in refpeft of us : and Truth and ^rofit are to us the fame thing. We need no other proofs of this, than what we every day, that thirvgs in other places generally for doubtful or falfe, are accounted altogether tain by all thofeof one Nation, Profefficn or For It not being poffible that what is true n Spain (hould be falfe in France j or that the under- hnding of the Spaniards, that, while both judge of hings by the Rules of Reafbn, what generally ap- pears true to the one, {hould generally appear falfe o the other,it is apparent that thisdiverfity of Judg- nent can proceed from no other caufe than that the me are pkas'd to hold for Truth what is for their icivantage, which not being for the intereft of the >ther, they have a contrary opinion of it. Now what is there more unreafbnable,than to take )Ur Intereft for a Motive to believe a thing ? All that JUght to be done in fuch a Ciift-, is but to coniider Q.% the 340 Logic : Or, Part III. pounding 'em to be fufficient to make all the world fubrair. And for this reafbn they take little care to bring proofs. They give little ear to the Reafons of others ; they would carry the day by their own Authorky .: becaufe they make no diftin&ion between their Au- thority and Reafon : They take all Perfons for in- sonfiderate who are not of their Opinion ; not con- lideringthat if others be not of their }udgment?,the) ihemfelves are not of the Opinions of others ; anc that it is not jufl to fuppolc without proof, that w< have reafon, when we make it our bufinefs to con-j vince others that differ from us,for np other Reaibc butbecauic they believe we are not jn ihe Righr. i v; There are others who have no other ground to re je&certainOpinions,thanthis pleafam Argument, it tFerefoJ fhould not be a Learned Perfon,now I ai. ( a Learned Perfbn,therefore it is fo.For thisrea(on,cer tain paft profirable cures in Phyfic have been negled e:1, and fo m ny cercain Experiments have been laj< afide,becaufe they who had not the good hap to thinl of J em,vvere afraid to be thought to have been fb lor in an Error.How ! % iky,if the Blood had any C; cular Motion in the Body, if the nourifliment c n-)t \\\fs to the Liver through the Mefarajc Veins. the Vein Artery corivc-ycd the Eiocd to the He If ihe Blood yfce-.-dv-d. through the deicendlng -. low Vein j if Nature did. npr dread a V?cuum: y Chap. XX. The Art of Thinking tbe Air were Ponderous and had a Motion down- w.ard,I bad been ignorant of many important things both in Phyfick and Anatomy. And therefore the things mutt not be To. Therefore for the cure of Inch Bumpered Fancies, there needs but only this who!-_ fome Inftrution>thatit is a fmall matter for a man to* be deceived, and that they maybe learned in other [thingvho perhaps not fo well vcrs'd in new difcove- nes. V. There is nothing alfe more common , tr.sn to hear men fcurribufly 'revile one another, and 10 tax one another of Obftinacy, Patifion and ^ Litigi- ous wrangling, becaufe they cannot agree in their jinions ; and fo they that are in the right , and jrthat are in the wrong, talk all the fame Lan- ige',' inake the fame complaints, and afcYibc to another the fame defect, than which there is harc- be found a greater mifchief among men, and h obfcures Truth and Error, Juftice and Inju- in.fuch a manner, that it is impr.fTible for the vulgar fort of men to difcern 'em ;. and hence is happens that feveral men adhere at hap hazard, fome to the one, and lome to the other, of the rwo diilenting parries* and that others condemn both being equally in the wrong. Now all this Fanrafticalnefs of humour arifes from this diftemper, that ever/ one is o nee i red of his own reafon. For from that Principle it *eafito conclude^thatallthofcthatccntPadiaiis are opinio- Q. 4 nated j 34 o Logic : Or, Part III the more attentively to us the reafons that may dif cover to us the Truth of what we defire mould b true. Nor is there any other Truth than this, rha ought to be indepeadant from our defires, whicl ought to prevail over us.I am of this Country ,theri fore I rauft believe that fuch a Saint firft Preache the Gofpei here. I am of fuch an Order, therefor I believe fuch an Inftitution is true. But thefe ar no Reafons. Be 'of what Order 'or Country foeve: we are only to believe what is true, and which w would believe, of whatever Country, Profeffion c Order foever we are. II. But this Delufion is now apparent when it hai \ pens from change of Pafsions. For tho all orb -things remain in the fame condition, yet to the that are provoked with new Pafsions it feems, th the new change that has happened in their Ddir, has altered the whole courfe of things, which a: any way related to 'em. As we find that there c- Tome Perfons, that will not acknowledg any go I Quality, either natural or acquired , in thofe ; rainft whom they have conceived an Antipathy, r that have in any thing thwarted their Sen timer, their defires or their Interefts ? Prefently fuch m t be traduced for rafli, haughty, ignorant, per fid io 1 , faithlefs and void of all Confcicnce.Their AfFeai Chap. XX, The Art efni*kin 34* fire i< iuft and eaiie,whatever they do not defirc.un- iuftandimpofsible.; without alledging any reafon for thcfe Judgments,, other than that over-ru.es 'em So that sltho they do not form this rational Argument in their Minds. I love him, therefore h is the moft accompliQied Peifon in the world -, I hate him, therefore he is a worthlefs Rafcal; yet they do it in their hearts j and therefore we may a thefe forts of Extravagances, Sophiims and [Hems of the heart j whcfe Nature it is I llport our Paffions to the Objeas ot OUT (which we therefore judge to be fuch as we I have or defire they fhould be. Which is a mmg ITOO& unreafonable, fince our Defires change no- I thing of the Being of what is without us ; and that htherlisnone but God alone whofe wiliis to all-pow- |rfui, that things are always, what his plcafure it is (they fhould be. III. We may alfo refer to this Delufion of Self- love mat other delufion of thofe who determine all things by a moft general and convenient Principle, 7bat they have reafon and know the Truth. Whence it -is no difficult thing for them to determin, that they who think the contrary are deceived : for the conclufion neceflarily follows. The Mtftake of thefe Perfons proceeds only from hence that the good opinion which they have of their Wit caufes'emto deem all their thoughts to be fo clear and evident, that they believe the bare pro- Q, 3 pounding 344 Logic : Or, Part III nated ; fince obfiinacy is nothing elfe but a flub born refute! to fubmir to Reafon. Now tbougK it be true, that thefe Reproaches o being Paffionate, Blind and Brabiers, which ar< very unjuft from thofe that are in the wrone ar< juft and lawful from thofe that are in the right: ne verthelefs, becaufe the Truth is fuppos'd to be ui on the Upbraider's fide, prudent and judicious Pe Ions, that feandle any matter in Controverfie oug! to avoid rhe ufe of ; em before they have fufficient confirmed the Truth and Juftice of the Caufe,whic they maintain ; and never let them accufe the Adversaries of obfUnacy,rafhnef5 and want of con mon Sence, before they have well prov'd it. L 'em never fay,before they have made it appear, th, they talk abliirdly and extravagantly :For the othe will retort as much back again j for this is the wa never to come to any iflue. So that ir will be muc better to obferve that equitable Rule of St. Auflin Let w omit tbofe common things that may be Jpofan , either fuk, though they cannot be fpoken truly of citL Jide. And then they will tljink it iufiicienf to defer the Truth with thofe Arms which are moft prope and which falfhood cannot borrow, which are .clei and folid Reafons. VI. Men are not only fond of themfelves, but rtat rally alfo jealous, envious and malignt-rs ppe -o another, hardly enduring others to be prefcn 'd be fore em, as coveting all advantages to tbcmfclves aiu Chap; XX. The Art of Ticking. and as it is a thing that deserves great honour to 1 have found out any Truth, or brought any new Light into the world,all men have a fecret defire to ravifti that honour to themlelves ; which often en- gages men to encounter the Opinions and Invent!" ons of others without an}/ fhadow of Reafon. And therefore as Self-love caufes us frequently to utter thefe ridiculous forts of Reafbning, This i is a thing of my own Invention ; this proceeded tjfromfbme of my own Profeffion ; this fits my hu- * incur ; and therefore it is true. So natural Ma'lig- : nity fuggefts another way of Arguing no lels ab- : furd, 'TVas another, and not I, that (aid it, 4 therefore 'tis falfe ; 'Twas not I that made this ..Book, therefore 'tis idle arid filly. Jj This is the fource of the fpirit of Contradiction -ifo frequent among men, which when they hear or * read any thing of another man's , they take little i iced of the Re afbns urg'd for Convincemenr, and .: riind only thofe which they think they can oppofe. :; They are always upon the Sentry againft the it Truth, and think of nothing but how to repel and Jbb&ureit, where they generally prove fuccefsful, .7 .he wit of man being an inexhauftible fpring o I alfe Realons. When this vice predominates, it marks out one | ^ the Principle Characters ot Pedanrry, whofe .( ihiefeft pleafure and delight it is to brable and: | : vrangle about petty things>and to contradict all men -i vith a mean and ab}e& Malignity. But fonietimes . his vice lyes more conceai'd than to be eafjly per- Q. y ceiv'd,, 344 Logic : O, Part III. ?ived, and it may be affirmed, that r.a man exempted from it , becaufe it is rooted in felf- bvc which never dies in Mea The knowledge of this Malignant and envious \ difpofuion which refides in the Bottom of Mer hearts teaches us one of the mod important Rules that are to be obferved, for fear of engaging rholc-: with whom we difpute into headlong Error , and alienating their minds from the love of that Truttj ro which we endeavour to invite 'em, is this, tha ! i> to fay, as little as may to irritate their envy ami jealoufie by boafting of a Mans felf, or by fpe; ' hg of other things on which thofe affections lay hold. For men paflionately in love with themfelv*) impatiently brook thofe Honours which are donet other men j whatever they cannot challenge t themfelves is odious and troubk'fbme, fa that of times from the hatred of thePerfbn they fly. out ij to a hatred of his Reafbns and Opinions j ar therefore prudent men avoid as much as in 'em lie the expofyng of their Advantages of parts and ci ebwmehts to the Eyes of other men, they wiihdra from publick view, and fly spplaufe ; and rath j c'-iufe to lye hid among the croud, tothecndthl nrhing may. appear in their Dilcourfes but iheba: 1'ruth which they propofe. The deceas'd Monfitur Pafebal who knew much of Rhetoric as ever c:iy perlon living s exM cd this Rule Ib far, as to affirm that every man ought to abftain from To much as-nami; hi- Chap. XX. Tt3 Art o/ Thinking. '345 himfelf, or making ufe of the words 7, or A# ; and was wont to fay upon this Subject , that (_>.iiiUn Piety had ab'>lifhM that humane Exprcflion, 7, which common civility had unly hi-forc fupprefi'd, not thar this Rule ought to be fo cx.-ct y obfeiTcd neither. For there are fbme occ : . lions, v. here ic would be a vain Torture, to fbtbear the njonrioh of a mans felr. Burir is good to have this Rule always before a Mans Eyes, whereby we may the more eafily fhun that evil cuiiom of fome perfbn?, who never talk but of therafelve?, and are always quoting them- - tielrces, when there is no queftion concerning their [Sentiments. M 7 tiich givean occ'inon'to their Hc.ircr.-, itharthis fo frequent rcfpeftof tbcmlelves arifes ironi a Secret complacency which they be.ir toward the ;objecl of their Love ; and raifcs in'Vnj bv a r.aru- Tal confequence a fecret aver/ion for other p. gild whatever they (ay. Ancirhis i* that which {hews u?, that one of the moft unworthy Characters of a pcrfon of credit ;j 'that which Montaigne has afFccled ; which is, to > entertain his Readers with nothing el(e but hi- ova. fHumour?, his own Inclination;, hi#owh Fj-nci.?,! is |jwn Di!lemper?,Verrue? and Vices: all which anfc-s us well from a defect of Judgment as trom a viuier.n ove of himfelf. True it is thar be endeavt u;'s ;3 I nuch as he cm to remove from himfeif the liifpiti- 1m of a mean and popular vanity, fpeakfng freely if "I his defects, as well as of his good Qualities 3 : therein there is f>mething of comely, through an appear- 348 Logic : Or, Part Ilf. appearance of fmcerity. But it is eafie to fee that all that is but a kind of Sport and Artifice which ought to render him more odious. He fpeaks of his vices to difplay *em to the world,not to caufe a dete- ftation of 'em, nor efteeming 'em any diminution of his Honours. He looks upon 'era as things almoft In-* W fry, full of InfipMtf Md Indo! et ,c } an d in* ether flace Dettb no more tb M * guvttr of an heu Suffering , without future Confluence or H a , m a) Which merits no f articular prccefts Now though this Digrtffionfeems remote fro, ne matter, yet it returns again where it kft ofc th rwfon , in regard there is no Book that nio , ihfufes this evilcuftom of magnifying a mans fdf,< making ufe of himfelf and his own Thoughts upo all occafions, ar.d requiring others to do fo L Wh !C h extreamly corrupts in us our Reafun an, >ence through that vanity which always accoKpa n. ihefc D,fcourfcs an d in orhcrs,through that h ted Ant,pathy wh,ch they ha7e againft it. There J no men are permitted to fpeak of therafelves,but per Tons of em.nent vertue whotefliHe by their marine ef doing lt thac thcy on]y pub];fh tkjr Adjons, only to excite others to pra ift God, "" faulr a m ^ c < faults publlck, ,t ,, only to humble thcmfelve.s be. ^re men, and 10 d.flwade '.m from the Jikecourf But for common perfons it is a ridiculous vanity to, nform others of their petty parts, and an Imp? ce defervmg punifhment to difcovcr their Di!or. derst^ the world without the kail touch of remorfe, top. XX. The Art o{ Thinking. 349 ice it is the higheft excefsof vice neither toblufh, ,r be aftum'd,nor repent of evil aliens , but to ifcourfecarelefsly and indifferently of their Impie. es, as of other matters ; wherein properly con fts the excellency of Montaigne's Wit. VII. > We may diftinguift from malignant and envious ontradiaion, another Humourlefs mifchierou?, but [ttch eneases us in the fame errors ot reafonmg, lirtiichisthe Itch of difputing, which very much tepraves the undemanding. No: that Difputcs are to be blamd in genera* ,-ather the contrary is to be affirm'd, provided t ; -iaht ufe be made of 'em ; for fo there IS;TOT -nore ferviceable,either for the difcovery ot Truth, -,r to convince others. The morion of a wit a.to* gether bulled in the examination of fbme knotty matters generally too cold and laflguHhing. There is a certain Ardor rcquifue to excite and awaken us ideas And it frequently comes to pafs, that by QI- I verfityofoppofuion, we difcover where confifts the : difficulty of perfwafion , and the obfcurity of i Toefa ; which gives us an qccafisn to endeav&ur'tc overcome ir. , . , . But true it is, that as this Exerciie is prohrable, when \ve make a right ufe of it, dihnga^d fron paffion y fo it is as dangerous when we make a wrong c , ufe of it, and glory in maintaining an Argurnem, at what rate foever, merely for contradittions jfake There : r> Part]! There being nothing more effeftual to Eloignes From Truth, and plunge us into Figaries and is Humours, than this fort of humour. 'Hence we - cuftom our telves to /eek for reafons every whf or rather to fet our felves above reafon, to whJ we fcorn to fubmir. Which by little and little Jen us to have nothing certain, and to confound Tm with Error, looking upon the one and the other, s equally probable. Which is the reafon, that it it thing fo rare , that we determin any thing ' difpute, and that it never happens that two Phi- fophers agree. We have always fomething to rep, and wherewith to maintain the Combat j becaufr was never their intention to avoid the crror,but beir Went; believing ir lefs ignominious to be always o ceived, than to confcfs themfelves once miilaken. 1 herefore, unlefs we have accuflomed our felv . by longexercife to govern our paeons, it is a dif cult thing not to loofe the profpea of Truth ' D./putes, there being nothing that more heats ax exafperates all regulated Affeclions. Wh* Vic* * they not awaken, faith a famous Author, bei'na fi the.moft part commanded by choler ? We ?reV cnipicj firft with the Reafons,and then with the P^ wns. We learn to difpute meerly to contr; and while every one contradict and is contradict' K happens that the Fruit of difpure h the Annih; lationof Truth. One goes into the Eafr, ancrhc into the Weft, they loofe the Principal, and wac :r in a croud of Incidents ; after an hour of Store and Tempelr, they know not what they feek, ou :hap. XX. The Art of Thinking. 3^3 below, another above, another on one fide, ano- ier lays hold of a word and fimilimde to carp a r, icther neither hears nor underftands any more ian that he is oppos'd , and is fc> intent upon his lace, that neglefting his opponent, he purfues imfelf only. There are others, who finding them- rlves too weak, fear every thing, refufe all, con- yand the difpute at the Beginning, or elfe. in the Viddle mutinoufly give over, afflaing a haughty bmempt, or an avoiding of contention infipidly Another, fo he may hit his Adverfary, cares - ; .ot how he lays himfelf open to his Opponent. * Another counts his words, and weighs 'em for rea- - ons. Another only makes ufe of the advantage f his Voice and his Lungs. And fome you (hall se, that argue < againfV themfel ves ; and fome there : .re that tire-and dunny all the world with long Pre- acesand ufelefs Djgrefiions : And others there are - hat Porcupine themfeives with Reproaches, and n\\\. quarrel like Dutchmen in their drink, to (hear - ilear, of a Perfon that preffes too clofe upon 'em -in a - : difpute.: TKefe are the ordinary vices of our Difpu- j :ants, which are ingenioufly defcribed by this Wri- - : :er, who being ignorant of the true dignity of-hu- - .-nan Nature, has fufficiently underftood the vices - and corruptions of it, from whence it is eafie to \ lpdge v ,hdw apt the fe contentious diiputes are to ; diforder the mind, unlefs a Man be very wary, not only how he falls firft himfelf into thefe Errors, but alfo how he follows others into the fame fnares, and ib 3? z Logic: Or, Pare I; fo to regulate hhnfelf,that he may be able toobfeii the Figaries of others, without wandring him* from the end which he propofcs, which is the - lucidation of the Truth. V I I -I. There are fome Perfons, chiefly in the Coi* of Princes, who, knowing how troublefome d djfplcafing thefe humours of contradiaion a; fleer a quire contrary courfe, which is to commit and applaud all things indifferently. And thai that which they call Cornflake* which is a II- mour more commodious for the gaining of prelu menr, but altogether as ruinous ro the judgmd *or as they that ftudy contradiction; take alw^s for tfre Truth,! he contrary of what is fpokerv ; e Complaifant, admit for truth whatever you %d cm,' and this .-curtom corrupts, firft their DifcoiiiL and tken their Undcriknding. Hence Commendations are become fb comrnt, and Pra;fc fo promi/cuoufly bfflrow'd upon all Mr, that we know not what to conclude of rhe Perf a applauded. What Preacher is there whom the u- poedots not extol, for rhe moft eloquent of Mi, and a Ravjlher of his Auditory, through the p- teundeefi of his Learning ? All that die are II:- ihiousfor their Piety. Petty Authors might m* whole Books of Elogie* which they receive fni ieir Friends. So that in this exccffire Prodigal^ >r EncomiHnn, made with fo little difcretion, s camt hap XX. The Art of Thinking. 353 ,nnot but wonder that Men (hould be fb covet- js of 'em. It is impoflible but that this confufion in Lan- Jage, mud breed the fame confufion in Under- anding, and that they who accuftom themfelvcs praile every body, muft accuftom themfelves al- j tc approve evsry thing. But though the falfity aould be only in the words and not in the mind,yet , fiiou.d ferve, methiaks, to alienate from it, thofe ,iat fincerely love Truth. It is not neccffary to re- irove whatever a Man fees amifs. But there is a eceffiiy of not commending what is truly commen- able 5 otherv/ife we throw thofe that we thus corn- lend into dclufion ; They contribute to deceive lofe, who judge ot thefe Perfons by their praifes ; nd,they wrong thofe that merit true praife, by laking it common to thofe that deferve it not ; and iltly.we dcftroy all Faith of Speech, and confound 11 the Idea* of Words, making *em ceafe to be the igns of our Judgments and our Thoughts, but on- y. of an outward Civility, which we are willing to lay to thofe we commend. Which is all that is to >e concluded of cmlinary Praiies and Comple- ments. IX. Among the feveral ways that Self love plunges Vien into error, or rather fixes 'em therein, we rujft not forget one, which without doubt is one of )><. Chiefert: and moil common. That is, the en- gaging a Mans felt to maintain an opinion,to which a Man iff Logic-. Or, Part ]| a-Man isurged by other confiderations, than thole f uth. For this condition of defend ing -an Arji ment caufes iuch a negligence, that we never J gard the reafons which we make ufe of, whetl they be true or falfe, but whether they may be ill vjceable to perfwade what they go- about to mal tain. To this purpofe they make ufe of all forts 1 Arguments good or bad ; that fomething may I laid, to impofe upon all the world. And lometiri we proceed fb-far, as to utter things which we kn- undemanding appears. By vertuc ci thers of the Church have exjrac^ed q-j tings of the Heather.?, tbofp rcnce to manner3,and that Sr. ^.-./r-.a l^fl to borrow from a Donatift Hei'tlk the undemanding of Sc.'ipture. Therefore reufbn obliges us, when It is in' Power, to make this Djftin&ion. But becaule have not always leifure to examin particula wrKHther is of good or ill in every thin&ic ifbi jut^ upon luch occaCcns, to give 'em the jiaf which they ckferve, and which agrees wirh tbi m)ft confiderable part. Thus we ought Man is a good Pniiofophcr,. wl.cn he ufu R lly rca/ci XX. The Art ef Thinking. til j and that a Book is good,When there is raacb ;iore m it of truth than FalQiood. There is alfo another thing wherein Men are ready deceived when they make general Judgments f things. For oft-times they only blame or efteem tch things which aremoft fuperfisial and acceflbry ; icir want of Undemanding not permitting 'em to enetrate the principal Matter, as not being (b or> aous to the Senee. ;) Thus altho they who have skill in Painting, fteem infinitely more the deiign than the colours or uriofity of Painting, yet the Ignorant are more ta- en wich a Painting, whofe colours are brisk and vely, then with, a cloudy Pencil, tho the defign be ever fo Incomparable. We muft acknowledg however, that falfe Judg- ments are not fo frequent in Arts j becaufe the Ig- orant more eafily comply with the Judgment of lofe Alat are Skilful. But they are frequent in fuch nings where the People take a Priviledg to judg, s of Eloquence. For exaaple,we call a Preacher Eloquent, when >is Cadences are juft , and that he makes ufe of no ad words. Upon which fcore, Monfieur Vauglai fnrm'd that one bad word does a Preacher or a Header at the Bar more Injury than a bad Argu- nent. For it is to believ'd that he relates a mar- er of Fact, not an opinion of his own Amhorifmg, t being certain that there are Perfor.s who judg af- er this manner ^ tho it be as certain on the other ide that there is nothing more remote from Truth R then 362, .Logic : Or, Part III, tb?n thefe (ores of Judgments. For purity of Lan- guage, and number of Figures in an Orator an no other in Eloquence, than the (hadows of Colour ing in Painting ; that is to fay, that it is only th< lower and material part j the principal defign o Oratory being to conceive things ftrongly and clear ly in the Mind^nd being conceived to cxprefs 'en in fuch a manner, that they may imprint in th< Breads of the Hearers a clear and lively Image o the things exprefc'd, which not only reprcfent tb things barely as they are, but alfo the Motions ani affe&ions with which they are conceived. And thi is that which may be found in perfons not (o dili gent in fbrting their words, and adjufting their E gurcs j but is rarely Yeen among thole who ar over-curious in ftrdning their words and fimilitudef for that fame curbfity calls off their minds frot the confideration of Realties, and weakens the v gour of our thoughts, as Painters obfervejf thj they who are excellent for Colouring, are feldoi good Defigners j the mind not being capable t Hudy two things at once, and the one difturbin ajid bindring the other. . ftYW^ . .And indeed we may fa)[ in general, that the mo part of the World judges of things by the outwai appearance ; for there are hardly any that pen triue the indde and bottom of things. The Ru of ail ludgment is the Tide, and wo be to the: wnof > 'Tills difplealci. Be a Man as Learned, Prudiru, as perfpicatious as he pleafes, if he fa wr in his Language, and does not anfwer accurat Chap. XX. The Art of Thinking. ly roan officious Complement, he is undone for the whole Remainder of his Life , and condemned to live defpifed among the Vulgar. *Tis no great mat- ter to want due Praife ; but the greateft thing is to infift upon thefc prejudices.; and to look no far- ther than the back of things j and this is that wtf fljould endeavour to avoid. II. Among the caufes that engage us in Error, through a falie Luftre that hinders iis from difcern- ing ir,we may juftly reckon a certain pompous and Magnificent fore of Eloquence, which Cicero calls a bounding in founding words and copious Sentences. For it is a wonderful thing how falfe Rafoning fieals away our aflent with a Pf riod that tickles the Ear, or a furprizing Figure that fets all the Hear- ers a gazing. Thefe Embellifhments not only rob us of the ProfpecT: of thofe Falflioods which are inrermix'd in difcourfe ; but infenGbly allure ns to others, be- caufe they feem neceffary for the more carious Com- pofure of the Period or Figure. So that when we tee an Orator begin a long Gradation, or an Anti- thefis of feveral Members, we ought to (land upon our Guards j for it rarely happens that he gets quit of 'ern, without wrefting and fcrewing the Truth, to make it conformable t this Figure. He orders the fame truth as they do Stones in a Building, or the materials for a Statue , he cuts and extends ir, R -L fore- Logic : Or, PartllL fore fhortens it, and difguifes it to make it fit for the place which he defigns it,in his vain piece of Work- manflhip and ftructure of words. How many falfe thoughts has the defire of main- taining a nicety produced ? How many Lies has the Law of Hhitne begot ? The great affe&arion to make ufe of none but Ciceronian words, and that which they call pure Latin ; of how many abfur- dities has it made feveral Italian Authors guilty ? Who would not laugh to hear Rsmbo cry that the Pope was Elected by the favour of the Immortal Gods ? Deorum Immonalium bcneficiis. There are alfb certain Poets that imagin it to be eflential to Pcerryj to introduce the Pagan Divinities into their Poems f and rhus a certain German Poer, being defervedl/' repTOv'q by Picttt "Mirandula , for having introduc'd inte a Poem which he made of the V/ars of the Chriftians, all the Pagan Divinities, and intermix'^, Apafto , Diana and Mercury with the Pope, theTtn- : ?>erour and the Electors, maintains that had he not' Jo done, he had been no Poet ; and to prove his aflenion alledges for a ftrange Reafon,that the Ver- ft-s of Hfiod t Hffmer and^i'r^'/, are full of the Names and Fables of the Gods. Whence he concludes it lawful for him to do the fame. T'beJe ralfe arguments are imperceptible to thofe :at make 'em, and deceive them firlt of all. They ife'oii7.7/ii:d with the found of words and the Luftre >w tneir Figure dnik-s 'em, and the pomp of cer- ^.in v/urds alhires '^m rnawAres to thoughts fb vain *a fnvolour, that if they did bii; make any refle- xion Chap. XX. The Art of Thinking. xion upon s em, they would certainly reject 'em themfelves. Is it credible,that a Writer of this age Ihould be fo in Love with the word Veftal^ as to life it in an Argument to perfwade a young Lady not to be a~ fliam'd to learn the Latin Tongue, telling her that fhe need not be afharn d to (peak a Language,whlch the Veftals fpoke. For had he weigh'd the force ot his Argument, he could not but have apprehended that he might as well have told the Lady, that fte needed not be afhamed to fpeak a Langaga, which all tbe HOMM Cttrtefans fpoke, who were Far more numerous than the Vefiali -, or that (he needed not to be afhamed to fpeak uny other Language than that of her own Country , fmce the I'sfa* [pake no other. All thefe Arguments that fignifie nothing, are as good as any that Author brings ; and the truth is, the Vfjlab can do him no Service to juftifie or condemn fuch young Ladies that learn Latin. Such falfe Reafonings as thefe whicH we meet with frequently in the Writings of fuch Authors as effe& Eloquence, make it appear hoW much it con- cerns thofe perfbns that fpeak or write, to keep clofe to that excellent Rule, that there is nothing lonely but b*t n true ; which would prune off an inhnite num- ber of falfe thoughts, and vain Embtllifhments trom their Writings. True it is that this exaiSnefa ren- ,ders the ftile lefs Pompous , and more Barren ; but it renders it more lively, more ferious, more clear, and more becoming a candid Ingenuity R It: $66 Logic : Or, Part lit- It makes a deeper Impreflion, and more durable. Whereas that which arifts from Periods adjufted,' ..is fo fuperficial, that it vanifhea almoft as foon as I ht Periods are heard. Ill There is another fault very frequent a-mong Men, to >jdg raflily of the Actions and Intentions of o- ihers, which is occasioned by a falfe Reasoning, by n^ans cf ^which, not difcerning all the caufcs that may produce fome c;ffe<5r, we atiribute the effect precifely to one caule, when it may. have been pro- duced by feveral others. Or elfe we fuppofe that 2 eaufe, which by accident has one effea at one time, as being join'u to feveral Circuffiftanccs. ought to have the fame effect at other times. _ Suppofc fbme Learned man be of the fame opi- nion with a Heretick in fome matter altogether di- ftin&from things controverted in Religion^ prefenr- ly fome malicious Adverfary will conclude, that he has a kindnefs for Heretics j but he may conclude raflily and maliciously , becaufe that perhaps only Reafon and Truth confirm him in his Opinion. Suppofe fome Writer fhouid vehemently inveigh agiinit any opinion that he thinks dangerous : forae will accufe him of Hatred and Anlrnofity againft the Author that maintained ir, but unjuftly and raflily ; in regard this vehemence may arife from - ^' a ! for T ruih * ^ weli ^ from hatrecCagaiVl the JPCLTiQIlS*? "i * ^ e 10 tc 3)0 sjfetn >rjd"r v cr ! Chap. XX. Tfo Art of Thinking. Suppofe a Man be a friend to a wicked Per fon ; fome prefently will conclude him to be an .** ' plice with the other in his Crime, ; whtch ***** follow, fince he may be ignorant of e , aifc he may never have given his content. - Some Perfon may have fa.ld in paying that r fpea which he ought to have done where w due. This Man, cry they, is proud and Ififo when perhaps it may be only Inadvertency, 01 Forgetfukiefs. r , Ail exterior things are only equivocal figns, that 13 to fay, fuch as may fignifie federal thirds, a: . therefore it will be rafhnefs in him to deterir:;! this fign to any particular thing, without feme particu- lar Reafoi.. Silence is fotneumes a fign of Mo- defty and Judgment, fometimes ot a Brute. ;lay and Hefiration foroetimes denotes Prudence, fome timeg dulnefs of Mind. Change is foravmes a fign of Inconftancy, fometimes of Sincerity. Is a point of ill-reafoning to cor.clade a Kfer. mpon- ftant, meerly becaufc he has changed his Opimoa, for he may have reafbn fo to do. IV. Falfe Induaions by which we draw from general Propoiitions particular Experiments, are one oF the moft common Ssurces of falfe Rcafoning among Men. We need not above three or four Examples to form an Axiom, and common Place ; of which we may afterwards make ufe as of a Principle to decide all things. R^ * a w e n the moft able Phyhcians, fo that Remedies are ma ny time, ot hrtle Efficacy. From hence fome Hot fpurs conclude, that Phyfic altogether unprofia bank* Ph > fldans no ^tter than Moun There are Tome Women wanton and unchaft I his is enough for thofe that are jealous to have an ! opnion of thofe that are chaft and honed, and lor licentious Authors to condemn all in general. I here nre Tome per/bns that conceal great vices under a ftew of piety ; f rom whence Llbertims conclude that all Devotion is Hypocrite. There are fome things obfcure and concealed and we are fometimes grofly mifhken 5 therefore ay the tnoem and new Pjrrboniam, all things are Mcure and uncertain, and we cannot certainly dif cern^the truth from falfhood. There is an inequality among the aaions of fome 5 this is fuftcient to frame a common place, out of which no Man fliall be exceptcd. ^/, f ay ^hey, n fo Jefetlw, and fo bhnd, that what thin,, J< * > lt are the Jams things, all Subjtfs Dually, and Nature in general, difavow, it, Junfdiftion. W think cfnotbmg that we have a W t H to, but at the ^ In. Pantwebw a mil to ,> and we w>U no^ng f ree ^ nvkmg abfolutelj, nothing conflantly. The greatcft part of the Wurld pronounce the Virtues and V 1C es of others only in general and Hyperbolical Terms. Out of which particular aas they _ _ _____ Chap.XX. The Art of Tbi they infer Habit ; out of three or four defaults Cuftom. That which happens once a Month, or once a Year happens every day, every hour, every moment in the Bifcourfe of Men. So little care do they take in their Words , and the Bounds of Verity and Juftice. Tis a piece of Weaknefs and Injustice, often condemn*d and little avoided, to judg of COUB- fels by Events , and to render guiky of all the bad enfuing Consequences, thofe who have taken a prudent Refolution according ta all the Cir- ! cumftances which they could forcfee ; either through the bare chance or malice of thofe that crofs'd 'cm , or through fome other Accidents which they could not pofllbly forefee. Men not only live to be as fortunate as wife, but they make no difference between fortunate and wife, nor between unfortunate and wicked. This diiKncttr on they look upon as too nice. We are ingenious to find out the defects that we believe occasioned our bad fuccefs. And like Aftrologers when they arc certain 01 an AccTdenr, ffiil not to fi-id out the Ai- peel: of the Star that produced ff. In iike manner after Calamities and Misfortunes, we never fail tg pafs ourCcnftires upon the perf()n, tha: he deicrvcd > em by hh ImpYuocnce. He did noc 'fucceed, thsre^ fore he was in the wrong. Thus they reafon in the World, and thus they have always feafcned ; be- R ", Logic: Or t Part III. eaufe the judgments of Men have always wanted the guidance of Equity, and for that not knowing the true Caufes of things, they fubftitute others ac- cording to the Events, . extolling the fucccfsful, and condemning the Unfortunate. V I. But there is. no fo fort of falfe Reafoning more frequent than when we judg rafhly of the Truth,by venue of fuch an Authority which is not fuffident ro^aflureus , or when we, decide the bottom of things by the manner tf their being Propounded. The 'one fs called a Sophifm of Authority, the other Sophi/m of the Manner. That we may underfland how frequently we fall Into the/e SopHiffru we need only confider, that the jaoft part of Men never believe one opinion more than ¬her,upon folid and effemial Reafons,vhich v/ould difplay the Truth, but upon certain outward marks, which are more agreeable, or at leaft tern more agreeable to Trurh than Falfhood. " The reafcnis, that the internal verity of things m frequently conceal'd i that the Underftandings of Men are weak and dark, fyll of Clouds a,id ralfe Lights, whereas the external marks are clear and perceptible. So that Men being raoreeafilj in- enncd to what is moft facile, they always take that fide where they fee the external marks that are & Wy di&ernablc, The? Chap. XX. The Art rf Thinking 3 7* They may be reduced to two principal Head'*, the Authorky of the Propoitoder, and the 1 man- ner of Propounding. And thefe two ways are fo powerful, that they draw after 'em the Aflent of almoft all underftandmgs. And therefore God who defign'iJ, that the cer- tain knowledg of the Myfterles of Faith, might be acquir'd by the meaneft capacities, among tfee Faithful, vouchfaf'd to conddcend to the Infirmity of Human Under (landings , which he would noL therefore have depend upon a particular examina- tion of the points, which are propos'd to us to be- lieve, bur hasgiven us, for a certain Rule, the Au- thority of the Univerfal Church, which is the Pro- pofer of thefe Articles 5 which being clear and un- doubted, retrieves our underftandings from that La* berynth) where particular difcuffious of Myfteries, would of neceffiry engage it. Therefore in matters of Faith, the authority of the Univer&l Church is entirely decifive j and fo far it -js ifom being fubject to error, that we never fall into error, but when we wander from its au- thorky, and refufe to fiibmit to it. '. V/e alfo draw convincing Arguments in marten of Religion, from the manner of their Wing pro> pounded. For example, when we find thtf for thefe many Ages of the Church, efpeciaJiy in 'thefe latter agc,? 9 that fo many perfons have eno'esvoured to cftablifl-.; their opinions by Fire and Sword, when we have teen 'era arm'd againft trie Church with Schifm, a- gainil Logic: Qr 9 Part gainft ihe Temporal Magiftrare, ,wkh Rebellion .when we have ieen People without ordinary M ^pn, wiihout Miracles, without any marks of Pi 87, but rather .with fenllble marks of Impiety, U i tertake to change the Faith and Difcipline of tl Church, fijch a criminal manner of propounding -more than fufficiem, to caule all rational Perfons i lejecl the thing propounded, and to prevent it meaner fort from liftening to fuch Arguments But in things the knowledg of which is not abf, lutely neceflary,and where God has left every Ms co his own particular reafon, Authority and Mai aer^of propounding, ferve only to engage fever perions in judgment contrary to the Truth We do not undertake here to give Laws an prefcnbe Rules and precife Limits of that refpei which we owe to Authority in Human Things but to mark out fome grofs miftakes that are cora irrtred, touching this matter. Sometimes we only regard the number of T< ftimonies, rot confidering whether number be tfc noft. probable Argument, that we have found w 1 - T j-fe F , r 3S a Auth r f chJs a 8 e has obfe; ved in difficult ihmgs,Truth difcovers iffelf to one fooner than to many.There.fore this is no good COB fcquence : This opinion is upheld by a great nun, oer of Phiiofophers, therefore it is true. Sometimes we are perfwaded by certain qualkie wd ! endowments pf Men,which have no coherent with the truth of things which are difcoiu-fed of tnere are a great number pf people that be Chap. XX. fb*. Arrof Thinking. ' 373 lieve without" any other examination, 'thofe that are more aged and have'' more experience ; tho tnfi things believU neither depend upon age nor expe- rience, but the acutenefs of undcrftanding. Piety, Wifdom, Moderation, are without doubt qualities the moft to' be e'fteemed in the World,, and there is a g^eat Authority due to fuch perfons, in things- that depend uporf'Piety, Sincerity and an Illumination from God, probably more .particular- ly conferr'd upon thole, that ferve him moft purely. But there are an infinite number of things that on- ' ly depend upon human Intellect , human Experi- ; ence and human Penetration. In which things, they who have the-greaieft ad vantages' of wit and ftudy, merit more belief than others. Neverthelefi the contrary often happens, and moft Men think k moft fafe to follow in the &me,the opinion of the greateft number. Which comes to pdS'tt'.ptfrt From hence, . that the(e advantages of v/it are 'riot .fo conTplcuous, as -the exterior Regularity, which appears in perfons of piety, and partly, for that Men nerer 'care to make d'iftSn&ions. Thele diftincl'lons confound 'em ; ; fo- that 'they will have all or nothing. If they give credit to any perfbri in fome things , they believe him in all things j if they give no cre- dit to another Man, they believe him in nothing. They love thofe ways that are (hor't , dccifive and compendious. But this humour, though u- lual, is contrary to reafbn ; which (hews us, that tke (kme perfcns ddnot merit belief in all things, bccaufe 374 Lozici Or. Part g becaufe they are not eminent in all things, and tha it is a deprav'd mode of concluding This i, C fn dl C VII. True ,t isthat there are fome pardonable error*, fuch asarethofe, when we give a greater eater epe to the Opinions of thofe whom we efteera tube me i?Qj& But there is one delufioo, much more abfurd ,n,t felf, and which is nevenhelefs J7 frcqu< :nr ; which is to believe that a Man f n pea ^l^S t a , p ^ of ^. Not that any Perfon expre/ly makes thefe Cwi- clufions He has a Hundred Thoufand LivreH y f\ r rC hC JS Wif ^ He is nobly defend Let the fame thing be propos'd by us, touching this Cert4ia :haaXX. The Art of Thinking. 37? Certain it is, that complacency and flattery have great (hare in the approbation which is given t< ic adions and words of Perfons of Quality, and -hich oft- times they draw to themfelves by a certain xternal Grace, and manner of Behaviour, noble, 'ee and natural. Which is fometimes fo peculiar to tiemfelves,that it is hardly to be imitated by thofe ?ho are of a low and mean Birth.But as certain it is hat there are alfo feveral, who approve all that rteat Men fay and do, out of an inward pronenels >f fpirit, which bows under the burden of Gran- deur, and which has not a fight ftrong enough to ibide its Luftre ; and that the exterior Pomp which gnvirons thofe great Men, impofcs not a -little, and makes feme impreflion upon the more prudent fort. The reafon of this deception, proceeds from the Corruption of the Heart of Man, who having a burning pafl'ion for honour and pleafure, neceffun- ly conceives a great love for Wealth and -^ Riches, and thofe other qualities whereby they acquire both pleafures and honour. Now the Love which they have for all thefe things that the World admires, is the reafon that they are efteem'd happy who en- joy 'em j and judging them happy, they place thofe Perfons above themfelves, and look upon em as eminent and exalted. Which cuftom infenfibly glides frcm the confideration of their Fortunes, to the confideration of their Minds. Meo do not u- fually do things by halves. And therefore they give the Rich and Potent a Soul as exalted, as their condition ; and this is the reafon of that great crc- ^ Which,hey meet wirh in all Affair,, that the } But this delufion is much more prevalent in the great ones themfelves, who are not careful to cor re^ that uapt-effion, which -their fortune natuSh in their minds, as well as in the minds of their Inferiors. For there are few of 'em < whom Riches and Dignities have not the weight dl leafon , and who do not believe that their opinions and judgments are fuperior to the judgments of thofe that are beneath 'em. They cannot brook that** Tons whom they look upon with contempt ^ pretend to have fo much reafbn and ' uconer em, as things entirely St ranger5 * t0 R n Body and Soul, but th-u their b. ,hr to,, and look If 35 to the reft of human -XX. * Art v-*g- 377 .uman Race : Their Imaginations never intermix >ith rhe common crowd of Men. They arc al- ways Counts or Dans in their own Eyes, never meer Mortals j and fo they cat a Soul and a judgment, ccording to the Propofition of their Fortune.' And relieve themfelves no lefs above others in their Un- ierftanding, than they towre above 'em in Wealth nd Dignity. The Felly of Men is fuch, that tnere is nothing )f which they do not make ufe to aggrandize the Vfo, which they have of theaafebcs. A fumptupus cioufe, a Magnificent habit, and a great Perriwigg nakes him efteem himfelf more learned than others ; ind if we take a nearer obfervation, .we (hall find* hat fome believe them Pelves wifcr a Horfe-back or n a Coach, than a Foot. *Tis an cafie thing to perfwade the world^ that here is nothing more ridiculous than thofc judg- inents^ but it is' a difficult thing to exempt 'em from the fecret Impreffion, which thefe exterior thing?, I make in the mind. All that can be done, is to as- '. cuftom cur felves as much as in us lies,not to give any Authority to any of thefe qualities that GO not contribute to the finding out of Truth : Nor to them neither, farther than as they contribute dt- aively. Age, Knowledg, Study, Experience, Wit, Vivacity, Moderation, Accurateneft, Labour, ferve to find out the Truth of things conceaTd,and fo far thefe qualities deferve to be refpeaed. But they are diligently to be weigh'd,and afterwards to be compar'J with contrary Reafons, For from a- : Or, fT !n p - articular> thcre !s nothin g of certainty ; fince there arc falfef nipns that have been approv'd by Perfons of VIII .There is yet fomething more deceitful in the fur- prrceswh-charife from the manner. For we " to Wfc?e that mcuraliy enclin'd to Wfc?e that Mjn has who fpKs w,th a Grace, fluently, with gravity w, h rnoderanon, an d fwee,nef s , and to believe ,| h" cTivelv T S - u 2t fpeaks ^ P^""^. W " h PrefUmf " i0n " * K t ' tlle " , _ but by theft exterior and fenfible m M . but that we raufl be often fe c feme Perfons that utter their w - , who bemg naturally brisk and airy, or'lefi ^ T P^"" th " 'Pl* f Religion ; having given this excellent Rule to all Jhofe that are oblig'dto inftrucl: others. See, faith he, what method the Prudent and Pious latholio Teachers take, in what they are hound to \ each others. If they are things common and autho- \ i$ed, they profofe 'em after a nioft ajjiired manner, -ind which teftifia nothing of doubt, j/st with all the Ivtetnefs and 'mildnefi 4m agin able. Hut if they be tbingt j^ Logic : Or, PartllL things which are extraordinary, though they are JmL things which, they clearly kno to be true, ytt t & rvher frofofe *em at doubtful ytefans 5 and to\ examined, then & Axioms and Maxims, that in tfa they may condefcend t0 tht infirmity ef the Auditon Or t f it be * Truth fi fuUime, that , 4 *w the reach ef thofe to whom it is frofounded, they rather chufe to fnfpreft 4> for fimetin* , that their Hearers may have time to encreafe their IpovteJge, and en- large their capacities, than to drover it to *em, in the height ef their weokpefs, tohen if would but am**, and their underjlandingt. The End of the Third Part. LOGIC i LOGIC: O R, T H E ART O F THINKING. PART IV. Concerning METHOD. IT remains for us to difcourfe, touching the Fourth part of Logic,which concerns Method, which without doubt is the mod profitable and important part. We thought it requilite to incert into this part, that which relates to De- monftration} which does not ufually confift in any one Log ic _____ Part rc S^sa*^> FaSaSSSSc** tra ^n- h ^ m ""ft s^t ., c - >to pene over- Chap I. The Art of Thinking. 385- iver-rule us,whether it be Authority or Reafon;If ic je Authority, which caufes us to imbrace what is propofed this is that which is called Faith j If it be ,-eafon, then where this Reafon does not produce in entire Convidlion, but leaves fbme doubt {till Behind, this Acquiefcency of the Mind accompa- lied with fome fort of diffatisfadlion is called >pinicn. i But if Reafon clearly convinces us, then wher ic is not clear, but only to outward appearance, and for want of attention, then the perfwafion which ic produces, proves an Error, if Jt be falfe in reality; or at leaft a faife Judgment, if being true in it felf, we have not reafon (Sufficient to believe it true. But if this Reafbn be not only apparent but folid and true, which is found out by a more diligent and exacl: attention, by a more rm Perfwafion, and by the quality of perfpicuity, which is more lively knd more penetrating, then the Conviction which this Reafon produces, is calkd Knowlcdg, about which many queftlons arile. The nrft is, whether there be any fuch Know- lcdg, that is to fay, whether we have any Know- ledg grounded upon clear and certain Reufons ; cr m gcnecal, whether we have any clear and certain knowledg ; for this queflion relates as well to llo- derftanding as to Knowledg. There are fome Philofophers who make it their Profeflion to deny this Knowledg, and who have i raifed the whole Structure of iheir Philofbphy upo this Foundation. -Of which Philosophers jfomc there 386 Logic i Or, Part IV. are who deny Certainty, admitting Probability ,and rhefe are the new Academic! : the other forr, who are the Pyrrhonians , deny even Probability it fel pretending that all things are equally uncertain. But the truth is, ihat all thefe opinions that have made fuch a noife in the World, had never any fub- fiftenee but only in Difcourfes, Difputes and Wri- tings, and that no Man was ever otherwise perfwa- ded, but that they were only the Toys and Diiiri- ums of ingenious perfbns that had nothing elfe to do, but never fuch Sentiments of which they were entirely fo fatisfy'd as to walk and ftand by thofe Maxims, as the Rules of Life. And therefore the beft way to convince thefe Philofophcrs, is to cite 'em to the Tribunal ok their Consciences, and fincere Hor.efty,and to ask 'em after all thefe difcour- fes, by which they endeavour to (hew that there is no difference between fleeping and waking, nor be- twcen Madncte, and being in a Man's Sences, whe- ther they du> not verily believe at the lame time, in defpite of all their Reafon?, that they are both a- \vake, and in their Wits 5 and whether if they had but the Icaft remainder of Ingenuity, they would rtot give the Lye to all thefe Vanities and Subtiicies, and frankly confefs that they could never believe thefe things, though they fhould make it never fo much their endeavour. But if there ftiould be any perfon , who fibou'd doubt whether he were awske, or in his Sences, or coukl believe that the Exigency of all exterior things ** uncertain, and that he -qu^Kons whether there bs Chap I. The Art of Thinking. 387 be a Sun, a Moon, or anyfuch thing as Matter,yet no Man could ever doubt, as St. Auflin affirms, whether he be, whether he think, or whether he live. For whether he be afleep or awake, whether in or out of his Wits, whether he be deceiv'd or not deceiv'd ; it is certain at leaft, that while he thinks, he both K and lives, it being impoflible to feparate "Being and Life from Thought, and to believe that he who thinks he neither is nor lives. So that from this clear, certain and unqueftionable Know- ledg, may be drawn a Rule, whereby to approve all thofe thoughts as true and clear, which appear to a Man like this. It is impofiible alfb to doubt of the Percepti- ons of the Senfes by feparating 'em from their Ob- ject. For whether there be a Sun or an Earth or no ; certain it is that I imagin I fee one. I am certain that 1 am in doubt while I doubt, that I believe I fee, when I doubt whether I believe I fee ; and I be- lieve I hear, when I queftion whether I believe I hear,and therefore not extending our thoughts be-. \ yond thofe things which are a6bd in the Mind it | jelf, and confidering what is only done there, ' we (hall find there an Infinite number of Cer* tainties.of which it is Impoffible to doubt. Which Confideration may ferve to decide ano- ther queftion which arifes upon this Subject ; which is, whether thofe things are only perceiv'd by the ; Mind, are more or lels certain than thole things which we underftand by the Sences ? for it is clear by what we have (aid, that we are more aflurecf 3 \- of 3 8*8 Logic : Or, Part IV. of our Perceptions and Meat , which we only know- by the Reflexion of our Minds,then we are of all ihe objects of our Senfes. We may alfb fay, that tho 5 our Senfes do not always deceive us in the report of things which they make us, yet that the afTurance we have, that they do not deceive us,does not pro- ceed from our Senfes, but from a reflexion of the Mind, by which we difcern when we oughr, and when we ought nor, to believe our Sences. And therefore we muft acknowledg that St. Au- flin after Plato, had reafbn to affirm, that the judg- ment of Truth, and the Rule to difcern it belongs not to .the Senfes, .but to the Mind. And that the aflurance to be depended on from the Sence?, is of no large extent, and that there are many things which we believe we know by the Sences, of which we cannot fay, that we have any abfoluce ncrtaiaty. For example, we may know by the Sences that on Body is bigger than another ; but we cannot know certainly what is the true and natural bignefs of every Body ; for the manifeftation of which, we are only to confider, . that if all the World had ne- ver look'd upon exterior objects, but with multiply- ing GlafleSjCertain it is,they would not have fhap'd thofe Bodies and meafures of Bodies otherwife than according to the Bignefs repreiented by the Magni- fy ing- glafles,Now our Eyes are Magnify ing-glafies, fcnd whether we knownotpreeifely, wediminiflior enlarge the objects which we fee. Or, whether the Magnifying-Glaijes, which we believe to augment : Chap I. the Art of Thinking. perfons in meifuring, agree togetoer, that luch , Body does not contain above five Foot, 7* !* that which one Man mean, by one ***" another means by the lame met fore. For one ,0.- ceives what is reprefented to him by hit Eyes , ana the fame thing; yet it may b perfon do not reprefent , c ^Hotever.there S, great Probab!H t y,h tUU d^ ference is not very great S.|*f ,** n y difference ia the forrmng of the Eye, able lo produce a change fo remae or tho our e, if the Judgment of the be any way vincertai, fo nor ha we any re.fon to conclude that isany more certainty in any other report. o te SenSVor if I'do not know precifely what the abfolute and Bat ural bignefi of n Elephant. S 3 IWW " 39 Logic: Or , p art ly however I know , hat an For there are fome things to be known clearl and certamly There are other things, the tru^ of whA we do not u yet clearly J*sSa? fell' A 1 /.^ WC may hopetounderftan hereafter. And there are other things which it i I-npoffible that we ftould underftand lith certainty ther becaufe we are ignorant of the Principle f Chap. I. The Art of Thinking. 3 9 1 fwhich it would be ridiculous to confine within the f narrow Limits of our llnderftandings ; and gene- t rally, as to whatever partakes of Infinity. For our lUnderftanding being finite, lofts it (elfin the Laby- E rinth of Infinity j and lies overwhelm'd under the b multitude of thoughts, contradicting one another. Hence may be drawn the moft convenient and I fhorteft folurion of many queftions, about which f there will be no end of difputing,fb long as Men are infeded with the Itch of difpute, in regard they ci | never be able to arrive at any certain knowledg. 5 whereby to affure and fix the Underftanding. Is Jt poffible any creature fhould be created'from Eterai- ' ty ? Is it poMible for God to make a Body infinite in quantity, a movement infinite in fwiftnefs, a multitude infinite in number Ms a number infinirc evcn or odd ? Is one infinite more extenfive than air- other ? He that fhould nnfwer once for all, I know nothing of it, may be laid to have made as fair a Progress in a moment, as he that had been beating his Brains twenty years, about thefe Niceties. The only difference between thefe Perfbns i&,that he that drudges day and night about thefe Queftions, is m the greateft d mger of falling a degree, lower than bare Ignorance ; which is.to believe he knows that which he knows not at all. There are alfo an infinite number of Metaphyfi- cal Queftions,which being far remote and abftra&ed from Principles clearly known^can never be refblv'd : So that the fared way is, for a Man to rid himfelf of 'em the fooneft he qan , and after we have flight- S 4 ly 392. Logic : Or, Part IV 1 1 J |y read what has been faid of 'em , to rcfolve t'l < unlearn 'em again. Nt/cire qtttdam magn* far* fapientile correspondency of Proportion ? What can that - j Chap. I. The Art of Thinking. 393 ^ :hat part of this little World be, which anfwers t lithe bignefi of a grain of Wheat ; and what a ftu- , pendious exiguity muft that be, of which we may ' truly (ay, that it is fuch in refpecl of a grain o r Wheat, as a grain of Wheat is compar x d with the j whole World ? Neverthelefs this part which is fa . j incomprehenfible to us, contains another proportio- jjnable World, and fb ad infinitum ; there being ftill [no part which does not comprehend as many pro- , portional parts as the World, how large (bever ws make ic. .] ! Thefe things are above Conception ; yet nece i'farily they muft be fb, becaufe the divifibility o ! Matter is demonftrable, as appears by the proofs ; whkb Geometry furnilhes us with, as clear as any v which (he produces. For this Science fliews us, that there are fbme ? lines which have no common Meafure, which for i that reafbn are caird Incommenfurable, as the Dia* k gonal and fides of a Square. Now if this Diago- t nal and fides were compos'd of a certain number o [ divifible Parts, one of thefe parts would be the com- mon meafare of thole Lines; and by confequence 1 it would be impoffible that thofe two Lines ihould be compos'd of Indivifible parts. Secondly, The (ame Science reaches us, that it fa impbflibie that a fquare Number (hould be doub! another fquare Number ,, and yet 'tis poffible for an extended Square to be double to another extended Square. Now if thefe two Squares were compos'd the great Square S 5: 394 Logic . Or, Partnr. would Icontam double as many parts as the rs as te e( fcoth be.. , U are, there would be a fquare N u to Bother f.uare N UB1 bel whlchl, ' nothl " n g rhat Jhap.T 'TbeArtoffkinkitif,. ie bottom of the Ship, to the Eye of the Perfoa >oking from rhe Port, through a Glafs or TranF arent Body (hall pafs through a certain point ot le Glafs, and the Horizontal Kadiw Ihall pals arough another fcmewhat more Elevated. Now js the Veflcl makes Sail, the point of the H*diut hat terminates at the bottom of the Ship, (hall al- lays mount, and infinitely divide the fpace between - he two points, and the farther the Veffel moves fF, the higher it will flowly afcend, without ever :eafmg to afcend, or ever being able to touch the. -: >oint of the Horizontal fydiM, becaufe thofe two . Jnes interring each other in the Eye, can never i >e Parallel nov the fame Line. Which Example, at the fame time, affords IB an", infinite DiviGbility of an Extent, and. a flackning-; of motion to Infinity. By this Infinite Diminution of Extent, whica arifes from its Dwfibility may be prov'd thefe Pro- blems that feem impoffible in their Terms. Ta find an Infinite ff as* tqual. to a Finite - y or which it no more* than the Mf or the 'third fart of a Finite ff ace. Ot - which among many other*, here is one, very eahe, , though not 16 polite. Take the half of a Square, and the half of that Square, and fo ad Infinity and joyn all thefe halfs by their longeft Line ; tha Confcquence will be a Superficies 06 an irregular H sure, and which will diminifli and whlch on Ac oat sffiall be infinite in length, diminilhing proporti- nably m breadth. The advantage that may be made of thefe Spe- Rations is not only the bare knowledge of thefe things, which b barren enough ; but to teach us the uts of our underflandings, and to make us ao knowledge mfpitc of our felves, that there are cer- tain things that are, which we are not capable to Apprehend. And therefore it is profitable in fome mealure to take pains about thefe niceties, were it only to. tame our preemption, in oppofingour fee* ble apprchenfions aabft the Truths w fi hfch ^ ^ For ; fceing,that the force and vigor of human wk J i fore d to fuccomb to the lea ft Atom of matter, d to confer, lhw he clear]y ^ ^ & ^ ^ ^ ^ty , notapprehending how itcan-be donej is t not vifibly a f ln againft Reafon, to refufe to it mcomprehcnfible j and only be- it is above our Apprehenfion? **}. ^crimes, profitable for a Man to of the weaknels of hap. II. The A^ Thinking. 397 his own Undemanding, by the confiderationof ofe Objeas which arc above it, .t i> no lefi certain, at he ought to mate choice of Subjefe and Mat- , s , for h!mo,e general ftudy, ^charewithm ,e reach of his Capacity, the truth of which h nv be able to find out and comprehend, whether, /proving the Effect by the Caufes, or a trim ; ?b P y demonftratingtheCaufesby theEffeas,wh,ch , call'd Demonftration a Fojleriori. Neverthelefs, hefignification of ihefc Terms muft be d.lated, to "he end, that under them all forts of Demonftrauons Lay be reduc'd ; though here it may fuffice to g.ve St of them by the by, that they be underftood ndnot feem uncouth to us, when we meet with hem in the Writings and Difcourfe, of PMofophy ; ^ndfor that, Arguments of this Nature be.ng com- pos'dof ftveral parts; it is requ&e, for the ren- ting them more clear and concludmg, to , d.fpofe them in a certain Order and Method. Of which McThod it is, that we {hall difcourfe in the chiefeft part of this Book. CHAP. II. Of tfc two forts of Method, Analyfis **d Synthcfis. An Example of Analyfis.. MEthod maybe generally call'd, the Art if well WpoJingaferietoffoeYankougbt,, etthty to dfiover the Truth of which we are ignorant^ or to frow Part The greateft pa* of what is foUre & * Que- s ftion. to lend ns are either about words or things. : fes by the he are by ob- Cu- we knw the ^- tbei '*M< Various e ^ i moton. guir j lp . IT. The Art of Thinking. 399 t*he Cecond is, when we feek to find out the Ek- j, by the Caufes. For example, we hnd that hd and Water have a great Force to move Bodies. , the Ancients not having fuffidently- examined It might be the effete of thofe caufes , never Be ufe^of J em, for many WJf^f^"^ :nd out to the great benefit of Mankind, and the (at eafe of human Labour, which ought to have *n the true Fruit of Phyfical Study. So that it ay be faid, the firft fort of aueftions, whereby /feek the Caufes by the Effeds, include the J ativepart of Phyfics, and the fecond part that fe for the Effeas by the Caufes, contains the The^rdfortof Qtfeftions,.is when fre feek for te "kaowledg of the whole by the parts. As whe* ;e have -many Numbers, we feck for the Sum by .ddition oV Multiplication. The Fourth is,when having the whole and Lome arr, we feck for the other part : Aswhenweknow 'certain number, a, d what i, fubftraacd from it, ve feek to find what remains j or as when we le o know what will be the /. mucb, of a given num- 3e But here k is to be obferv'd that for the farther mention of thefe two forts of Queftions ; and that they may comprehend what cannot be properly re : ferr'd to the former, the word part is to be tabu more generally for all that comprehends a thing, ks Mwnen, its Rtmmitie,, its Autdaitt, its ? andgencraUy all its Atrifacj-, So that he one and of omittiog any , ! Fof both ways S P tap. IT. The Art of Thinking. 4* lAs for Example, in the firft manner, if it Oiould tdemanded of us, what Creature that goes upon fcr Feet in the Morning, upon two at Noon, and |ee in the Evening, we {hould err to think our I/es bound to take thefe words, Feet, Morning ton, Evening in their proper and genuine fignih- lion: ForthePropounderof the Enigma requires I fuch condition : And therefore it is iwfficient fct they may be apply 'd by a Metaphor to fome jner thing : And fo the Riddle will be well refolv d, 1 faying that fame Creature is a Man. I Let us fuppofe the Queftton to be, how the Sta- B of Tantalw could, be made lying upon a Co- nn in the midft of a V&, in the pofture of a Man wping down to drink, but could not do it, bccaule e water in the Vfa might afcend up to his owh j but fenk down again fo Toon as it began touch his Lip?. We (hould err in adding fuch ueftions that would be of no ufe to the folution "the Queftion* and trouble our brains to find out me wonderful fecret in the Statue of iT**** at caus'd the Water to fink down fo loon as it pproach'd his Lips. For nothing of that is inclu- edinthequeftion. For if it be rightly conceivd, ic ay be Efficient that we imagine a Veflel made antain Water to fuch a height, and which em- ties again, if it be fill'd above fuch a mark; which eafie to be done, by concealing a private Pipe in ie Column, of which one Branch admits the Wa- into the V&, ^ other which is , own below the bottom of the V&. For the Wa- ter 402 w * a, who Oiew'd his tricks at P in C " lne '/PP ear 'd to be of d ; which ro prevem Snd fo that con- bp. II. The Art of Thinking. 43 fhe other manner of erring in the examina- fcof the marks and circuraftances of the thing bh we fearch for,is when we omit what is moft c hi to the queftion propounded. For example, we Cole to find out the perpetual motion by Art. For tnow well that there are perpetual motions mna- ir as thofe of Fountains, Rivers and Stars. 1 here Come, who believing the Earth turns upon its |tre, which is nothing but a great Load-ftone, hich the common Adamant has all the proper believe alfo that an Adamant may be fo or- d as always to turn about Circularly. Which igh they could bring to pafs, yet would it no- a contribute to find out the perpetual motion Art in regatd that other motion would be as Lira!,' as that of a Wheel expos'd to the current i River. _. Therefore when we have well examined rtieUf nftances, that mark out what is unknown m the fticn, we are next to examin what is known; thereby we (hall come to the knowledg of wha mknown. For we are not to imagine that we are find out new Genius* of things, in regard < ndsareno farther capable to find out things un- owiyhen as they participate after fuch or uch a xinner, with the nature of things which we know, |>r example, if a Man were blind from his birth, fc- fhould kill our felves in vain,to feek out Argu- lents and Proof?, to make him fenuble of the true I'M of Colours, fuch as we have by means of our ! rices. Alfo if the Loadftone, and thofe other Bodies,, Or, Bodies, whofe nature we are inquifitive to new Genus's of Beings, and fuch that efparr for ever to attain to the knowledge of d Keafons or Arguments, but we tiiould ftan eed of another undemanding tban our own lntw rew l are r tobell ' evethatwe have fo ^ fl that can be found by Human Invention, cc ; c concci ^ dirtily, that fuch a mixture of ' and Natures, which are known to us, could r, ^uce thofc efFe^s which are known to us in the Lo N OW it is chiefly in our Attention to whai own m ,,;., .u- _ eflion whjch confifls ma, and lh doub ub jn i i -/ " .ie ooul to IIJJIIM doubt of all things elfe, withou 1 it think or no, in regard the dmfible, II. The Art of Thinking. 4? i &c without deftroying the MM which we tofThought, wecondudethatThoughc.s Wofw *V b r ufe * 2 f f t! e of a .M~r that cannot be.concew d, rf the fa be deny'd of it whofe wfe Whence we E * Thought being no M of extend^ fence, it muft be the Attribute of fome other fence ' and fo the Sbftance that thinks, and fcaed Subft^nce, ?* Wydiftina. Whence it follow? that, i,aion of the one does no way argue the de- aion of the other, fince the Barf &4- ee is not woperl, deftroy'd but , ha, all th* nens in that which we call deftfua.on is no- e fe but a change or diffolution of fome part, ml matter which remains **W i Njtnre, - '. ( riehtly judge, that inbrekmg the Wheels of a * , he Subtoce of the Clod. .is no. WtroA we fay.the Clock i> deftroy'd. Wh.ch (hews sSnot being divifible or mpM rf part,, cannot peril, and by confequcnce ,s f Thif is that which is call'd -to>j6, or a B /W- L where you re to obferve, i.That reo.ght "take our progrefi, as in the method o ; Compo- : : ion,from that which i, mod known, to that wfajch ,. lft known. For there is no true memod that tm difoenfe with this Rule I : T That it differs from the method of Conapo- .tion I this that we conQder thefc kno^vn Truth, the particular mmination of the trang wbch - parrs canno, be deft .'d .' bu we degrees to ,hofe ener h "" general Rule, 4- That thefe two Merhor? ^' M from that which rf V Mi n , ntai ' he t0 of - IKII wmcn Jeads f ro -n MounramtoaVaiJeyrOrasZ^ fer, to prove that fueh a P r manner s Sr. Lewis, of whiVh ri n 1S de/ " cenj ed fr, EsSsSSSSsa an one, and fo down to SVx^ T obftryet ap. IL The Art of Thinking. 407 irved in the Sciences, where after we have Me ufe of Analyfu to find out Tome truth, we ap- our felves to the other method, to explain what If have found out. By this we may underftand what is the Anatfit ot '^Geometricians, which confifts in this. AQueftion Sng propounded to them, which they know not wether it be true or falfe. As whether it be a Iheo- .|i ? or if a Theorem ,the pofiibility or impoffibiliry of iiThey fuppofe it to be,as it is propos'd,and exami- c.ig what will follow from thence,5f upon that ex- Siination they light upon evident Truth, of which kit which is propos'd is a neceflary contequence, Ey conclude from thence, that the thing propofed True : Then beginning again where they left off, ley dt-monftrate ii by the !vL thod of Ccmfofaion.'Bix I through necelTary Inferences, they tall into &b- Irdiry and impoflibility, they conclude the thing Wopos'd to be abfurd and impo&We. I This is what can be generally faid of Aruttfi, 1'hich confifts more in judgment and dexterity f wit Iian in particular /ue ft ] S , that it is a very difficult thing to c: fcrve thefe Rules ; but it is always neceflary to be aem in mind, and to obferve them with all the adtnefi that lies in a Man's power, when he wou find out Truth by the way of R ea fon, and as f as our undemanding is capable to reach. CHAf Chap. III. The Art of Thinking. 409 CHAP. III. "the Mtthod of Compofition, and particu- larly that winch is obfervdly the Geome- tricians. Hat we have faid in the foregoing Chap- ter, has already given us fbme idea of e Method of Compofition, which is the moft im- irtant, as being that which we make ufe of in the xplanation of the Sciences. This Method confifts principally in beginning om Things the moft plain and general, and af- nding to the left general and more compounded; y this means we fhun ungrateful Repetitions ; for ould we be to treat of Species's before Genws, fince is impoffible to underftand the Species rightly bc- re we underftand the Geut, there would be a ne- flity of feveral times explaining the nature of G- r in the explanation of every Species, There are many things alfoto be obferv'd, to ren- :r this method perfea and properfor obtaining the opos'dend, which is to give us a clear and diftincl: jiowledge of the Truth. But becufe the gcne- il Precepts are more difficult to underftand, when cy are abftrafted from all manner of matter, we ill confider the Method of the Geometrician*, as sing that which we have always thought moft pro- :r to convince us of rhe Truth. And firft we (hall T (hew 410 Logic : Or, PartrV (hew what is to be commended in this Method, an fecondly what it has defective. It being the chief aim of the Geometricians to a( vance nothing but what is truly convincing, the might attain their ends by obferving three thinj in general. I . Not to Jiiffer any Ambiguity in their Teims, galnft which they have provided by definitions < words. 1. Not t9 ground their Arguments but upon clear at evident Principles ; and which can never be queft on'd by any pcrfon of underftanding ; which is tr. reafbn, that they lay down their Axioms which the require, (hould be granted them, as being fb clea that they would be but obfcur'd, by going about! prove them. 3. To frove demonflrati'velj all thefe ConcluJJtt, 'by the help of fetlcd Definitions, Principles gran ed them, as being moft Evident, and Propoiitioi which they have already drawn by the force < Reafbn, infbmuch, that after that they becon Principles. So that we may reduce to thefe three Head whatever the Geometricians obferve to convinc the Underftanding, and include the whole in the: five Rules of great Importance. Stylet necejfary for Definitions* * I . Not to learns any thing in the Terms obfcure, F.$ivoG4l witbout defining i/. 2. Chap III. The Art of Thinking. 411 , i.. Tomakf ufe of none but Terms perfectly l&ottm, tr ilready explain d. for AXIOMS* , To propound no Axioms but what is tnosJ deaf, nd evident. for DEMONSTRATIONS. [.. To prove all Proportions any thing ob/lure, by be help of preceding Proportions or Axioms concede^ ropcfitions Demonftrated, or laftly by the Conftruftion * the thing in queftion, when there is any Operation t /hewn. 5". Never to make ufe of tlx Ambiguity of Terms, ly failing mentally to explain tho/e Definitions that reflrain mid explain it. Thefe are the Rules which the Geometricians lave thought neceflary to render their Probation* convincing and invincible. And we muft confefi, that a diligent obfervation of thefe Rules is fufficl- icnt to avoid the making of falfe Arguments, while we treat of the Sciences. Which without doubt is die principal thing ; when all the reft may be faid to be rather profitable thajjnecefTary-. T i CHAP. 4i z Logic : Or, Partl\ CHAP. IV. A more particular Explication of the fort going Rules^ And fr$ of thofe that relat to Definitions. THo-wc have declar'd in the firft part the benef of the Definition of Terms, neverthelefs it of that Importance, that we cannot bear it too ofte in remembrance, in regard that thereby we unrav< a great number of queftions ; which are very diff ulr, by reafon of the Ambiguity of their Term: which fbme take in one Sence, fome in another. Ir fbraucb, that very great contefts would ceafe in j Moment, if either of the Difputants did but take car j to define clearly and in few words what he means b \ the Terms which are the Subject of the Difpute. Cicero has obferv'd that the greateft part of the di^ putes between the ancient Philofophers, efpeciall; \ the Stoics and Academies were founded only upoi this Ambiguity of Words ; while the Stoics to exal | themfelves, took theTerrasof Morality in Senfe quite different from others. Which made Mer believe that their Morab were much more (evert and more perfect : tho' indeed that pretended Per- kcHon ws only in Words, and not in Things, the^ Ijgeftoftbe Stoicks no iefs indulging himlelf to the pleafuresof this Life, than the Philofophers of other .Jirfist that were more Latitudiniry and remift. Nor did - Chap. IV. The Art of Thinking. 413 did they with lefs care avoid the Evil and Inconveni- ences of Life, only with this difference, that where- - as other Phifofbphers made ufe of the ordinary words Good and Evil, the Stoics call'd the pleafures ' which they enjoy'd, things to be f refer* d ; and the Evils which they ftiun'd, things to be avoided. And therefore it is abfolurely require to retrench ^ from all difputes, whatever is founded upon the E- |/ iquivocarions of Words, by defining them by other Words fo clearly underftood, that there can be no fault : found, or exception taken. To which purpofe ferres the firft of the foregoing "' Tlules, to leave nothing in the Terms obfcure or Eqtii* : real mtbsttt defining it. Buc that we may be able \ -') make the bell of thefe Definitions, we are to add J,he ftcond Rule, To make "ft of none but Terms ftr- 1 / Rlj> knci&n or drcAdy txpUind ; that is to (ay, terms ffhat cefi^n as clearly as may be, the Mca which we nean by the \Vord that we define. 1 For fo long as we have not clrarly and didin^lj Jpnou^h (et forth the Idea to which we would affix to |!he Word, it is almoft impoflfible to avoid Hiding JLito another Uea different from that we have de- TJgn'd j that is to fiy, but that inft-ead of fubftituting t ! nnrally, every time we make ufe of the Word, the lame Ide* defign'd, we fubftitute another wirh | Vhich Nature furriifhcs us. 'U'hich is eafily difco- \ r ercd by fubtlituting the Definition in tbe place of i he thing defin'd. For then there is nothing ought o be chang'd in the Propofition, if there has been a .. -onftancy to the Idc*\ whereas otherwifc there will * >e an apparent Change. T 5* This 4*4 Logic: Or, p art IV This will be better underftood by Example ^defines a plane Reailineal Angle, /fc L *ngrd Angle but only in that Sence. Now to t whether he has done it, every time that he fpca u r? n r g -> WC are to fubftitu to the word Ang Definition which he has given of it, and if comparing the Definition, there be found any a luijdiry m what he fays concerning an Angle; will follow that he has not been conftant to the fair &4 which hehaddefig'd, but that he is infenfib fallen into another, which is that of Nature. F Example, he teaches us to divide an Angle in tw Compare his Definition, and you (hall find that is not the meeting of two Lines that he would har us divide in two, that it is not the meeting of tw Lines that has two fides and a Bafe but that a this agrees with the Space comprehended betwec tWO l.tn/c. v j_mtv:. It is viable therefore, that that which puzzl'd & and hindered him from defining an Ang!< rvo Jrvir*t>,^..-L_ J.J I . 9 foorte Chap. IV. The Art of Thinking. 4 1 5 , Ihorter, and yet the Angle not be left or bigger- Neverthelels he ought not to have concluded from ihence, that an Angle was not a fpace, but only that .it was a fpace comprehended between two right Lines that meet indefermin'd in refpc& of one of the two Dimenfions that anfwer to the length of the Lines, .and determin'd according to the other, by the pro- , port ional part of a Circumference, which has for its i Center, the point where the Lines meet. The Definition defines fb clearly the Ide* whicli i all Men have of an Angle, that it is both a Defini- i rion of the worel, and of the thing ; only that the word Angle comprehends in common difcourfe a folid Angle, whweasby this Definition it is rcftram'ci .tofignifie a Plane Re&ilinial Angle. And when we have thus defin'd the Angle, his unqueftionable that whatever afterwards can be faid ef a Plane Rectilineal Angle, fuch as is found m all Rectilineal Figures, {hall be true of thi* Angle thus defin'd, without being oblig'd to change tk* ; Idea j nor will any abfiirdity follow by fubftiru- ting the Definition in the place of the rhing de- fin'd. For it is the fpace thus explain'd, that cannot be divided into two, three or four. This is that (pace which has two fides between which it is com- prehended j and which on that part which is unde- termin'd of in it felf, may be deterniin*d by a Line which is called the Bafe, or typothcfu. Nor is it accounted greater or left, as being comprehended between longer or fhortcr Lines, for the mea- fure of great or left is not to be taken from the part T 4 which 4*6 *gic : Or, Part IV fourth, >hap. IV. The Art of Thinking. 417 lurch. So that there is nothing to be laid to thefe ' ^efinirtons of EucliJ, provided he continue conftanc > thofe A/Mf which he has defign'd by thefe words, id which he has given to the words of Reafon and roportion. But he is not cocftant, for that accor- ?ng to the whole feries of his Book.thefe four Num.- ?rs,3- 5*. 8. 10. are not proportionable,tho the De- bition which he has given to the word Proporti- h agrees with 'em. For that there is between the rft number and the fecond compar'd together ac- brding to quantity,a habitude like to that bet ween be third and the fourth. ! Now that he might aroid falling into this Incon- enience he (hould have ob(erv'd,that there are two ''ays of comparing two Magnitudes ; one by confi* 'ering how far the one furpafles the other, and the rcond, by confidering after what manner the one ; contain'd in the other. And in regard thefe two abitudes are different, he ought to have given ;m difterent Names, to the firft the name of D/^- rence, to the lecond the name of Deafen. After- wards he ought to have defin'd Proportion, the E- ualityof the one or the other of thefe two Ibrts of labirudes, that is, of Difference or Reafon. And as ais makes two Species's, to have difringuifh'd 'em Ifb by two feveral names , calling the Equality of differ ence, Arithmetic^ Proportion, and equality of \eaftn t - Proportion Gtome fried. And becaufe the liter is much more beneficial than the former, the leaders are to be admonifli'd, that when Proportion ' r fatwtjwdl^nitw&r'kT* barely nain'd, it is ro T <> hi 4 1 8 Logic : Or, Partl\ be underftood of Geometrical Prof option ; but ; r Arithmetical Proportion, it is never to be undi-j Hood, but when it is exprefs'd.W hich would have i . I reil*d allobfcurky,and taken away all Equivocation, This (hews us that we are not to make an ill i: f that Maxim, That the Definitions of words v. Arbitrary. But that great heed is to be taken to c> 'figa fo dearly and exa&ly the Idea to which we a the word, that is to be defined, that we may not Ieceiv'd in the Series of the Difcourfe ; by takii the word in another Sence then that which is } Ten it by the Definition ; fo that we may alwa fubftitute the Definition to the thing dcfin'd witho falling into Abfurdity* CHAP. V. the Geometricians feem not to fun rightly underftood the difference letwet the Definitions of words and things. ALthough there are not any Wrkers,who mal a better ufe of the Definitions of Words,rhs the Geometricians - y yet I cannot but obferve, th they have not rightly underftood the difference b tween ihe Definitions of words and things ; which ; that the firft are difputable,the fecond not to becoi teovcrted; For I firid fomc thar raiff Difputes aboi j [j)hap. V. The Art of Thinking. 419 he Definitions of words with the fame heat, as if :hcy were difputing about the things themfelves. Thus we find in the Commentaries of Claviut up- on Euclid, a long difpute and mighty hot, between iPeSetier and Him, touching the fpace between the Tangent and the Circumference, which Clavivt de- jiyes, PeKetier affirms to be an Angle. Who does not (fee, that all this might be determin'd in one word, iby demanding of Both, what they meant by the Word Angle ? We find alfo the Famous Simon Stevtn, Mathe- matician to the Prince of Orange, having defin'd Number to be, That by which is explained the quan- tity of every Thing, he puts himfclf into fuch a pel- ting Chafe againft thofe that will not have the U- nite to be a Number, as to exclaim againft Rhetoric^ as if he were upon fbme folid Argument. True it is that he intermixes in his Difcourfes a queftion of fome Importance, that 5% whether a Vnite be to Number, as a Point is to a Line. But here he Qiould have made a diftincYion, to avoid the jumbling toge- ther of two different things. To which end theft two queftions were to have been treated apart ; ttrhe* tber a Unite be Number, and whether a Vnite be to Number, em bun it do ^ thl tude (hap. V. The Art of Thbtking. 411 tic of Unites, nor give to Unite more then its rme of Unite, or part of Number. The Secoud Argument which Steven produces- is kj no more force. ' \fffiom a Number given we fttbftraft any Number, tb'g Number given remains. '( \ Jf then the "Unite were not a Number, SiibftraRing one 'out of three, the Number given would 're* wain, which is abfurd. But here the major is ridiculous, and fuppofes trie ing iq Queftion. For Euclid will deny that the limber given remains after fubftra&ion of another imber. For to make it another Number then at was given, there needs no more then to fub- i6t. a Number from it, or a part of a Number, ich is the Unite. Befides, if this Argument were od, we might prove in the fame manner, that taking a half Circle from a Circle given, the rcle given would remain, becaufe no Circle is en away. So that all Stevens Arguments prove no more, that Number may be defin'd in fuch a man- , r, that the word Number may agree with U- y, becaufe that Unite and multitude of Unites :ord (b well together, as to be fignify'd by the HC word, yet they no way prove that num- ean be no way defin'd, by reft raining the word the Mukitude of Unites, that we may not bs lig'd to except the Unite, every time we explain e properties that belong to all numbers, except' e Unite ' But 43,2, Logic : Or, Part TV But the (econd Queftion, Wkt/xr an Vnite be < Numbers, /is a point it to a Line t is a difputc co- ; cerning the thing ? For it is absolutely falle, that ; ; Unite is to number as a point is to a Line. Since ; I Unite added to number makes it bigger, but a Li is aot made bigger by the addition of a point. T Unire is a part of Number, but a Point is no pr. j of a Line. An Unite being fubftradled from i Number, the Number given docs not remain j b a point being taken from a Line, the Line givJ remains. Thus doth Stevin frequently wrangle about ll Definition of words, as when he chaffs himfelf ] prove that Number is not a quantity difcreer, tr.rj Propofition of Number is always Arithmetical, a. \ not Geometrical, That the Root of what Numb 1 j fbever, is a Number, which (hews us that he cij not properly undcrftand the definition of won,! and that he miftook the definition of words, whi' \ were difputable for the definition of things th i were beyond all Comrovcrfie. CHAP. VI. Of the Rules in Reference to r A LL Men agree, that there are fbme Propo tions (b clear and evident of themfelves, th have no need of being demonftrated - t ai tt Chap. VI. The Art of Thinking. 4*3 I :hat all that arc not dcmonftrared, ought to be : : uch, that they may become the Principle of true Demonftration. For if they be fully 'd with the ' leaft incertainty, it is clear, that they cannot b the t ground of a conclufion altogether certain. 1 But there are fbme who do not apprehend where- P'n this clearnefsand evidence of a Propofition con- fifts. For it is not to be imagin'd, that a Propofi- 'tion is then clear and certain, when no body con- ? tradicls it : Or that it ought to be queftion'd, or at leaft that we fhould be oblig'd to prove it ; ; ) Iwhen we meet with any one that denies it. For if ; 'ng one fide much more capacious then the other, i.?pt always at an even level, not rifing higher on ; ie greater fide then on the lefier, becaule we feem'd . be aflur'd of ir, by an infinite number of expe- : rnent?. But lately this has been found to be falfe, i -ovided that one of the fides of the Veflel be ve- V narrow, -for theq the water will rife higher on Jkat, then on the other fide. This mews us, that ^ |kkictiGTiS only can give us no fblid aflurance of .;y Truth, unlefs we could be certain they were tctrcral, which is irnpofTible. And by confequence e could be but probably afiur'd of the Truth of lis Axiom \ The whole ii bigger then the part, were ;e IID- other way afliir'd of ?r, but becaufe we have ten a Man ; bigger then his- Head, a Forreft bigger aen a Tree, a Houfe bigger then a Chamber, or ne Heavens then a Star. For that we mould have ,lways reafbn to doubt, whether there were not kne other atbole, not fo big as its part that had fcaped our knowledge. 'Tis not then upon the obfervations we have ,tiade from our Infancy, that the certainty of this \xiora depends, there being nothing more likely o precipitate us into error, then to fruft to the pre- judices judices of our Infancy. But it folely de that whKh ieontam'J in the clear J S * /w " and a r - that is ' - ha < "* - And^ f n H 3 '"*) and *"" lefs th( " ^ * And as for all our former observations of a Ma ^ng b,gge r .henhi. Read, a Houfe then a 5 bar, they olrfy&rn'ifh us with an occafion to c,. ficfcr more d,!,gemly ,he IJ, of the /W, and, S?l 'I is / bfcIute 'V fcfi, thatthey are , j Axiom' 3 " ' aUe CaUfa f lhc Tr "' h f '' What we have faW of this Axiom may be t of others, and fo I believe ,hat the Dainty ev,dence of human knowledge in natural thin, depends upon AM principle. ? " Cm "' d '" ** ^'" S W '* Th r , ' " rm ' >S- i, f "fe that /te^/i s included in the J, ^2 r an f rm of "- that hc . Becaufe to have all its Diameters equal, is i all ,ts u are equal : Btcai " nyinganevidence^ffiumrnKSgrSVe ting up a ridiculous Pjrrhonifm. For we cannot judc of things bur by the j& which we have of 'J Unce we have no way to conceive 'em, but as the c reprefcmed to our thoughts, and chat only b the; lhap. VI. The Art of Thinking. 417 Jfeir Ideas. Now if the judgments which we make nile we contemplate thefe Ideas, fliould only re- fefent our Thoughts, and not the Things them- jves j that is to fay, if from the knowledge that * have; that the equality of three Angles, with fro right Angles, is contain'd in the Idea of a Tri- *gle, I could not conclude that every Triangle has tore Angles, equal with two right Angles, but one tat I thought lo, it is vifible, that-then we fliould &ve no knowledge of Things, but only of our Noughts ; and by confequence we fliould know bthing of thofe things which we perfwade our Hves to be moft certain of , only we might (ay that \c think fo j that would manifeftly deftroy all man- er of Science?. And we need not fear, that there are any Perfons >ho ftrioufly agree upn this confequence, that we :now not the truth or falfliood of any thing confi- [er'd in it felf. For there are fome things fo plain ,nd evident j as, I tbinl( therefore 1 am ^ the iVbole t bigger than its Part, that it is impoflible ferioufly o doubt, whether they be fiich in thernfelves as we :onceive 'cm to be. For we cannot doubt of 'em ffithoat thinking, nor can we think without believe- ng *em true^ and by confequence we cannot doubt >r 'em. Neverthelefs this one Principle does not fuffice to udge of what ought to be receiv'd for an Axoim. For :here are Attributes, which both may and ought to be snclos'd in the J&*of things, which neverthelefs both may and ought to be demonftrated,asthe equality of all 418 Logic: Or, Part IW all the Angles of a Triangle to two Right ones : Or il all the Angles of a Hexagon to eight Right Angk |j But it will be needful to obferve, whether the Idea d a thing require only a flight confideration, to fit clearly that the Attribute is contain'il in the Idea \ cj whether it be requifite to joyn fbme other Idea, til discover the Connexion when it is only neceflary tj confider the Idea only, the Propofition may be raj ken for an Axiton, efpceial!y if that confideracioii require but a flight attention, of which ordinar) underftsndings may be capable ; but if it be requi fite to joyn another Idea, to the Idea of the thing] 'tis a Proportion to be demonstrated, and (b thcfii two Rules may be given concerning Axioms i. RULE. When, to fee that an Attribute agrees with a S/t$ /'f# at to fee that it agrees with the whole to b: big* per (hen i-ts part, thwe needs lilt a flight Attention to unfiJer the ttfo Ideas of the Subjeft and the Attri~ bute ; injlmuch that it may be done, without pereeti ~ing that the Idea of the Attribute is included, in t! Idea of the Subject, we have then reafon to tak$ thai prof ofition for an Axiom which requires no Dfmcnflration^ because it contains in it /elf a-ll the Evidence that De- unonQr alien could give it j which can do no more then fiettf that the Attribute agrees with the Subje8 y by making ufe of a third Idea to foew the Connexion^ whkk is already feen without ths affiance of A third Idea, But Ciap VI. The Art of Thinking. 4x9 But we muft not confound a bare Explication, ftugh it carry*d fbme form of an Argument with firue Demonftration. For there be Axioms that ljuire Explanation, that they may be the better derftood, though they have no need of Demon- lation, explanation being nothing elfe but to ftak in other terms, and more at large what is Intain'd in the Axiom ; whereas an Axiom requires ine near way which is no* clearly contained in fe Axiom. ^L. RULE. Wlien the fole confederation of the Ideas of the Sub- Wf and the Attribute fujfices not to Jhew dearly, that e Attribute agrees with the Sutysft, the Propofition at affirms it is net to-be taken for an Axiom j but ought to be demonftrated bj making ufe of certain her Ideas to /hem the Connexion as we make ufe of e Idea of Parallel Lines, to foew t that three Angeh ' a, Triangle are equal to two Bright Angels. Thefe two Rules are of. greater moment, then icy are generally taken to be. For it is one of the loft ufual errors among Men, nottoconfulc them- Ives fofiiciently in what they deny or affirm, but give credit to what they have heard others fay, r what they have formerly thought themlelves, ever minding what they would think themfelves, lould they take more time and ftudy to confidsr neir own thoughts ; heeding more the found of yords ; and affirming for clear and e?ident what is mpolfible for 'cm to conceive; and deny ing as falfe, what 43 o Logic: Or, p arc v what it would be as impoffible for 'em to be* not to be true, would they but take the pain o more Ieriousconfideration. u F J ^P^ ^ who % tba ' a piece M ood, befides its parts and their Situation, Hi figure, their motion and their reft, and the p"e that he between the part?, there is yet a fubftam form diftina from ,11 thefe things, believe ,, fpeak nothing bur Truth, yet all the while \\ fpeak what neither They, nor any other Perfoli vjng do comprehend or ever will. However, if they would explain the effeaa Nature, by the infenfible parts of which Bodies* composed, and by their different fituation, bigri figure, motion or reft, and by the Pores befws the parts, that open or flop the paOage for matters, they believe we talk nothing but Cht t r, thougn we'll tell 'em nothing but what map eafily conceivd And by a ftrange blindnefs! underftandm&the eafinefs of conceiving thefe thirs can iJcm to believe that they are not the real o fes of Natures efteasj but that they are more > cult and myfterious. So that they rather chufec beheve thofe that explain 'em by Principles whfa they conceive nor, then thofe that make ufe of Pi- oples which they underftand. And what is yet more pleafant, whenwetalki em of mfenfible parts, they believe they have |1 ficient ground to rejeft 'em, becaufe they can r> tber be felt nor fen : Whereasthey can fwallow fi. ftantua Forms, Ponderofity, Vcrtuc Attraaive, . whii < hap. VII. The Art of Thinking. 431 hich they cannot only neither fee nor feel, but ,-rt fb much as conceive. H A P. VII. Certain Axioms of Moment that may ferue \\ for Principles of great Truth. [T is a thing by all confefs'd, that it is of great Moment, to bear in our Memories and Minds leveral Axioms and Principles, which being clear ind unqueftionable may ferve as a Foundation to cad us to the knowledge of things moft occult. Though many that are moft ufually laid down^ iire of fb little ule, that it is needlefs to know 'em. ifbr that which they call the firft principle of Know- ledge, it innpojpble that the fame thing fooitld be 9 land ntt Wife, infinitely Good t and infinitely True, onght t '* more effectual to convince us then the moft prevailing Dtmonftratient. For we ought to be more aflurM,that he who is infinitely wife cannot be deceived j and that he who U b 434 'Logic ; Or, Part P is infinitely good will not deceive us j then we c be aflur'd, that we are not deceiv'd our felves things moft evident. The fc three laft Axioms are the Foundations Faith, of which more hereafter. II. AXIOM Thofe ARions of which the Senfe may eaftly jua being a.ttefted by a Great Number of Per/ons of funz Centuries , ftivdry Nations and various Inter eft S, /peaks of em, as feen by themselves ^ and whom we not fufpttl for Confpiring to uphold a Fatfhood ought fafs far as conftant and umgueftionable, as if we feen 'em with our Eyes. This is the Foundation of thegreateft part of < Knowledge, there being infinitely a greater Nu her of things, wkich we know by this means, th of thofe which we know of our (elves. C H A P. mil. Of Rules relating to Demonflratien. A True Demonftration requites two things.T one that in the raattcr there be nothing, I xvnat is certain' and unqueftionable. The other tW thtr& be nothing faulty in the Form of the Argi men ap. VIII. The Art of Thinking 435- nr.- NOKT we (hall olxain both the one and the o- obferre the two Rules, which we have or there will be nothing, but what is certain tie Matter, if all the Proportions made ufe of Proofs, be, Zither Definitions' of words already explain'd, ch being Arbitrary cannot be queftion'd. >Axiorm conceded, and which ought not to dmitted, if thay be not clear and evident of nfelves by the jj 'Rule. Dr Propofitions already demonflrated, and which confcQucnce are becdme clear and evident by Demonftration made. of the thing it felf, which is iipute,when there any Operation to be done, ch ought to be as unqtieftionable as the reft, (ince Poffibiliry ought to be firft demonftrated, if 43 6 Logic : Or, PartFi the other, which happens chiefly in the Midi Teim.whjch being taken in two various Scnfesl the two Erft Propofitions, is the ufual fault of A cious Arguments. Now it. is clear, that. Fault m be avoided, if we obferve the fecosd Rule. Not that thole are the only Vices of Syllogif that arife from the Equivocation of Terms,but tb other are of fuch a nature, that it is almoft irapo ble, that a Perfon .but a mean and ordinary ca .city fhould ever fall into 'eni, efpecially in fpeci tive Matters. And therefore it would be a need thing to admonifli 'em to beware of thofe Erron, to prefcribe Rules. Befides that it would.ratherj hurtful, inregard the confideration of theft fup fluous Rales, would but draw off our Studies firw thole that are more neceflary. Therefore we find the Geotnctricians nercr troui themfelves about the Forms of their Arguments^i dream of conformity to the Rules of Logic, yet thqy are never deceiv'dj in regard they are g4 dcd by nature, with the Affiftancc of much Stur There is another Obfervation to be made up " Proportions that require Demonftrat ions. That that they are not to be reck'ned for fuch,which ffi be demonftrated fcrjfuch by the Application ofm Rule of Evidence to every evident Propoficions.! * if ii were fb, there would hardly be any AxioJ which would not require Dcmonftrarion ; wH almoft all may be demonftrated by that Axioj,! which we have laid down as the Foundation of 1 Evidwce. Whatever we find to be cent tin d in : sir Clap. ]X. The Art of Thinking. 437 Ir and dtftinR Idea, may be affirm d for Truth. As & Example, MAS that we find in one dear and difttn& Idea may be affirm d for Truth. mNvtp we fee that the dear anddiflinR Idea, trhicb tt>e I /save of the wholes includes its being bigger thin it's Part. mTherefore tfemaf affirm for Truth tbt the whole is faer then its fart. ful though this be a very good Proof, yet is it 1 abfeiutdy-neceflary, becaufe the Underftana- fupplies the Major, without any neceftity of articular confideration, and clearly and evident- fees fhar the whole is bigger then a parr, with- refle^ing from whence the Evidence arife?. they are two different things to know a thing denrly, and to know from whence urifes the dences. / CHAP. IX. fume Errors nfually occurring in ti\' Ms* thoJ of tbe Geometric/am. have (een what is good in the Method of the Geometricians, that it has re- us to five Rules, in the Obfervation of U 3 which _ e cannoi be too ex And we m < c firi rh,ng moft admirable, they h bv , he firm Ru!cs - S e r a! c ' as m.ke a j u dg men to more " - mto fo^e errors, which do not cm however from their end, bu,, re . -m n theydo ttainthe . rcnd d/redt and cprBmodiouj way. Which c^vourro makcbur dr ^ in fro Wr, the luampics of thefe defaults. I- The Geometricians arc to be commended Chap. IX. The Art of Thinking. 439 ''oint, our Undemanding is not fully fatistied, and hcrefore fearches ftiil after a farther Knowledge, .hen that which it has ; a fign it has not yet atrain'd \', true knowledge. And this is the (burce of all the eft which we (hall obferve. to ' To prove Things that have no need of Proof. The Geometricians confefs that there is no need proving thofe things that are clear of themfelves. Jevertheleis they do it frequently ^ for that bting lore fed ulous to convince, then clear the Under- anding, they think they (hall be more able to con- ince, by producing fbme Proof of things them- Ives the moft evidenr, then by propofing 'em bare- F , and leaving the Underftanding to find out the .vidence. This.inclin'd Enp'id to prove that two fides of a "riangle b.eing taken together, are bigger than one n!y, though it be evident by the fble notion of a ight L'ne ; which is the fhorteft length that can >e drawn between two points, and the natural mea- ure of the Interval between Point and Point ; which t could not be, if it were not the (hortcil of til the Lines that can be drawn from a Point to I'Poinr. This alfo induc'd him to make a Problem of that vhich he ought to have made aQueftion, w^. To IWP a Line equal is a Line. given, j tho it be as eafie, and 44^ Logic : Or, Part TV and more eafie then to draw a Circle having Radius given. ^^^K knowledges natural things arifes from this Prin, pie. That ^c may affirm of a thing, ^te vtr is cc un a in it* clear and d$in& Idea. Whence it fc lows that it were needlefs to know, that an Atti e is concluded in an Idea, that upon the ba confiaeration of the Idea without the addition of ar other, ,t ought to pafs for evidenrand clear, as v< have already faid. I know there arc fome jft that are more e*fij known to be concluded in the /&<*,then other. Bi lieve it Efficient, if they may bec]ear j know with a flight confideration, fo that no Perfon tfe any thing of Ingenuity can f er ioufly queftion i hat the Proportions be look'd upon as draw from a bare confideration of jR/^, as f rom Princj pie* that have no need of Proof, but of Explanati- on and Tome little D^fcourfe. Thus I affirm, tha here is no Man who has never fo (lightly confide* the /ards, ToIJarie's ol *?* pr P erI ? no re *l 4. /)- <.iap. IX. The Art of Thinking 443 4. E F A V L T. Dtmonflrations drawn from tiring* too remote. This Error is very common among the Geometri- Mt. They never trouble themfelves whence the j roofs which they bring are taken, fb theyfbe but pivincing,. Nevenhelefs it is but an imperfect jay of proving things, by ways remote end foreign, ; Don which the things demonftrated no way depend ;;cording to the order of Nature. ' All which we fhall underftand better by fame w Examples. Euclid. I. i . Propof, 5". proves that an tffiele* "riangk has two Angles equal at the Bale. To this urpofe he equally extends the fides of a Triangle, nd makes new Triangles which he compares one 'ith an-other. But it is not incredible that a thing fo eafie to e prov'd as the equallity cf thole Angles would ave need of fb much cunning to prove it, as if i*re were any thing more ridiculous then to ima- ine rhat this equality depended upon forreign Ta- ngles ; whereas, had he follow'd true order, there re many ways more eafie, fhorter and more natu- al to prove .the fame inequality. The Forty feventh of the (urns Book, where tie ; prov'd that the Iquare of a Bafe that drains a light Angle, is equal to the two (quares of the ides, is one of the mo-ft t fteem'd Propofitions in 444 Mi afnd to thines mo f, "V^/rom thence t confound ere,T thT 7 8 d and P articular > *e *d Sulc 7 Tr g ', a " d ?" pellme!J of Li . SlSSSfet s TT' i prove b ^ fi ' infinite number of "h ^r^ and mak ' I " thatdi( l four frft Books I, -r rfa ? d ofExtfnt if ben ;hap IX. The Art of thinking. 445 :rs in the feventh, eighth and ninth, to refume a- ain in his tenth his firft difcourfe of extent. Which a prepofterous diforder in general : But there arc lany others more particular. He begins his firft look with the Conftru&ion of an equilateral Tri- .ngle; and xx Propofitions, after he has prefcrib'd he general method of making a Triangle of three tight Lines, given ; provided that two be bigger han the third;which denotes the particular conftru- ftton of an equilateral Triaagle,upon a Line given. He proves nothing as ro perpendicular Lines,and Parallels but by Triangles j, and intermixes Dimen- >{ion of furfaces with that of Lines. He proves,!*!. Prop. 1 6. that the fide of a Tri- angle bting extended in length, the exterior Angle lis bigger than either of the Angles inwardly oppo- &:e ; and ftxteen Propofitions after that, that this ; exterior Angle is equal to twooppofne. It would require a Tranfcripiion of Euclid to give all the Examples- of this disorder that miglit be produc'd. 6. D E F A V L T. Not t6 makf nfe of Divifions and Partitions. It is another great error among Geometricians, not to make ufe of Divifions and Partition*. Not but that they mark out ajl the Sfeuefsof thofe G^ww'a of which they treaty but becaufe they do it fimply, by defining the Terms, and putting all the Defini- tions "^ 44^ L*gic2_Qr L ^ ""pJi^F tions afterwards, without obf^TtoTT: has fo many %c w ,and chat it can have becaufe the. general id.* O f ihe &,, r- but io manvdift For ^, The Sides are, 1, and jtfcfeallM 1, then TJie Angles are, r All three Acute, and are call'd Oxiguu- Efthcrc.i,'^? ? n fe Acure 5 and then the third 'is 7 '<'ght, then calJ'd %eF} r t0 P"" tnejr I ropofitwns, whether by ways natural or mote fo they have their end of convincement re can they not thereby alter the nature of ouTunder. ftandmg, nor imprint a more clear, more entire and more perfect knowledge of things which we know by their true caufes and their true PrfocLS Bei]des,that it is unqueOionably true, that thofe hings are far more eafil, le a rnt,and better retal'd L ! S T r 01 T' Wh neec ^ requ.es more promptly and with greater^' c'lity. We may ajfo affirm this rnoreoVer , that what we aftrm by diving into rhe true reafon o thmgs, , s noc reramJd fo much b the by the Judgment- and it becomes fo much^ur r r r Ca T C ? rget k - Whereas that v^hich. we only know by dcmonftrations, not grounded upon natural Reafons/ooner flip out of our Zk and^ ore difficukl recoyer ,P. becaufeou ;^ de ftandmg^notfurnifh us with the means to recover what we have loft, We ,ap.X. The Art of Thinking. 44? We muft then agree, that it is much better to ssr^r^t^" |:R3*3a greater. ay bmo're natural, but which no. fo con- ping, nor fo exemot from all fuf.aon of ! :! This is a veryfpeciousAnfwer : And Iconfef. ^Lance el not being deceb'd i, **&' C d before all things ; and that r.ght order b to be ealeaed, where it cannot be followed without SSng the force of Demonftration, and expofmg %t(i\u to milbke. But I cannot agree, that "Lpoflible to obferve both the one and the other : iwibelieve that the Elements of we We- hitherto di ro of another fort of Knowledge, which ofc no )efi certain, nor lefs Evident in its , than that which we draw from Autho- ' TV 3re T gereral Wa 5"' b / whi * w Thing to be true : Th e firft ;/ the know . ledge Chap. XII. The Art of Thinking. edg which we have by our felves,whether we have ittain'd it by Obfervation or Ratiocination, whe- ,her by our Sences or by our Reafon ; which may DC generally term'd AM in re g ard the Sences themfelves depend upon the judgment of ^/cor Knowledge ; the word being here -more generally taken than in the Schools; for all manner of know- ledge of a"n object drawn from the fame object. The other way is the Authority of Perfons wor- thy of credit,who aflure us that a thing is fo. Thp ef our felves rwe know nothing of it. Which is -call*d Faith or Belief-, according to the words of St. Auflin, for what we know, we owe to reafon j for what we btlieve, to Authority. .But as this Authority may be of two forts, ei- ther from God or Men, fo there are two forts /;*/ f z? ^ trjc Dc-tlSj OJ cAJCntS Human Faith. T^HE moft cuftomaryufe of found Judgm dinT^t^tntr 1 '^^ * er e is no o,, of d - TWlyto be m ade ot , and where ,ts more nrceffary than in ti judgment which we ought to make of w pafe every day among Men. 1 lonotfpeakof judging whether an A be good or bad, worthy of applaufe or reproof, -i , L or Falfliood *i Events, -which .may only be referr'd to Lo K ic,wlJ .her we confider 'em as part, as when we onl'y . o nnr 5 T f'*" WC U 8 ht belie ' J or not ? or whether we confider 'em as bein* , come, as when we fear or hope they will coml paf,, wh,ch reguktes our hopes and our fear,. l^Tr',^" f rae ^fl^ion, maybe ma tpon th, s Subjefl; which perhaps may not be getber unprofitable or rather may be^ofgrea ' ng 3 " Errors into Jhap. XIIL The Art of Thinking 457 The hsil Reflexion is, that there is a vaft diffe- iice to be made between two forts of Truth? ; the :.je that only relates to rhe nature of things and their immutable Eflerces^abftra&ed from their exiftence; 1; other that relates to things exiftent that relate to [man and contingent Events, which may or may ft come to pafs when we fpeak of the future, and ?y probably never have bin, when we talk of at is paft. I fpeak with this reference to their ia|xt caufes, making an abftrac^ion of their Immu- itfble order in Divine Providence; becaufe on the >4e fide it does not hinder Conringence, and on the her fide being unknown to us, it contributes no- ing 10 make us believe the things themfelves. Now as all things are requifite in truths of the $ fort, there is nothing fare, which is not Uni- AJ ;rlally true, and fb we muft conclude that a thing falfeif it be falfe in any cafe. But if we think to make ufe of the fame Rules in vents ; we (hall always judge falfely, and e aThoufand talfe Arguments. For ihefe Events being naturally Contingent, it uld be ridiculous tofeekout in them fora neceP try Truth. And fo that Perfon would be altoge- void of Reafon, who would believe nothing of jch things unlefs it were made out to him, that it /as abfblutejy neceflary they fhould be fb. , Nor would he lefs deviate from Reafon that '," /ould require me to believe any particular Event "'' /uppofe it were ihe Converfion of the King of Chi- >* to the Chriftian Religionj upon this only ground, X be- Logic : Or, Part. F bccaufe it is not Jmpofifible to be fo. For feeing t\\ another who fhould allure me to the contrary nj make ufeof the fame Reafbn { it is clear that t Rcafbn alone cannot determin me to believe one rather then the other. We muft therefore lay ir down for a certain a unqutftionable Maxim upon this occafion, that t PofJibiiiry alone of an Event is not a fufficient Ton to make me believe ir, and that I may haver &n alfb to believe a thing, tho I judge it not imp tible, but that the contrary may have con e -to p^j So that of the Two Events I may rarionally beiie the. one and not the other, tho I believe 'ejn partible. How then (hall we refolve to .believe the one n ther.than the other, ^F- we judge 'cm both poil Obferve rhe following Rule. Tu judge ot the Truth of an Ever.r, and tope fwade my felf into a Rxfolution to believe, or n ro believe a thing ; it muft not be confider'dnake Iy, and in Jt felf, like a Prupoiition in Geometry but al|,}he circumftances tha^t accompany it, as w intern.il as external, are to be weighed with the fa? coni-deration jlcsll Infernal Circumlhncesfuch; belong to the Fuel; it feif j anti external, thole ti relate to the Perfbns, whole Teftimonies induce^ ro believe it. This being done, if all the Circur ilanccs are fuch ? , that it never, or very rarely ha pens, that tj^e farne Circumftances are accomp ny*d with Falfhood : Our Underftanding natural to believe the thing to be true , and there 'a ,Chdp. XI II. The Art of Thinking. nfbn for fb doin&efpecialiy in .the Conduct of the xjRonspif our Life, that never requires a greater Vurance tTjaiV amoral Ccr tail i ty, and which is fa- ' Jri'd'upon moft occa lions with a great Probability, iiton the other lide, it" thefe Circumftances arc 'r find any abioltue Impoffibility. ' J jftrf Example,' we demand, whether the Hiftory .'Ttlje Bciptifm of Conftantine by Sffoefter be true, or l.tfc ? Baronius belieVes it true j but Cardinal Per- n, Biihop SfandanW) Petavius, Morinns t and the . :oft Eminent of the Roman Church believe it falfe. !f we infift upon the fole Poflibility, we hive D reafbn to reject Baronius. For his opinion contains * oihirig ablblutely impoflible; and to fpeak ablb* J itely, it is. alfo poffible, that Eufebiuf, who affirms '' ic contrary, affirm'd an untruth in favour of the : 'tnians j and rhat the Fathers that followed him 5 /ere deceiv'd by his Teftirnony.But if we make ule f f the Rule already laid down, which is toconfider vhat are the circumftances both of the one and the ; )ther Baptifm of Cwftantine, and which are thofe * hat carry the grealeft marks of Truth, we fhall find ; em to be the latter. For on the one lide, there is no ] ;>reat reafon to rely upon the Tettimony of a Wri- \ :er, ; as Fabulous as ,the Author of the' Acls of.^/- Defter, who is the only Petfon 'of 'Antiquity ,"wib aas Ipoken of CV^'s being Ba P rizca ! a(^. X 2 And Logic : Or, Part-P ' . . And on the other fide there is uo likelihood rbat \ Per/on fo Serious and Learned as Eufcbiut HIOL prefiime to report an untruth relating to a thing remarkable, a* the Baptifm of the rirft Emperc'; that reftor'dthe Church to her Liberty, and whir ought to have been fpread over all the World, the fame time that he wrote, which was not abo 1 four or five Hundred years after the Death of tl ; laid Emperor. Nevertheless there is an Exception to this Rul. by which we ought to be fatisfied with poffibilii; j or likelihood. That is, when an a&ion, which ii othcrwife fufficiently attefted, is contradicted by L ] congruities and apparent contrarieties with oth<;J Hiftories. JFor then it fuffices that the Solutions brought 1 1 *nerv*e thefc Repugnances be poflible and prob; ble ; and it would be unrealbnable to require othe pofirive Proofs ; for that the Adi: it felf being Tuff cicntly prov'd, it is not equitable to require that w I Ihould prove all the Circumftances in the fam I manner. Otherwife we might call in queftion I Xhoufand moft certain Hiftories, which we cannc make agree with others of lefs Authority, but b' Conjectures which it is*impoflible to prove pofj tivdy. For Example^ we cannot bring to an agreemtn what is delivered in the Kjngs and Chronicles concern ing the years -of the Reigns of feveral of the Kin Qf&if4*-aayl:IJraeJ 9 but by ajjgoing to fome of th< Kfligs, .two beginnings of their Reigns, the one du ihap. XTIT. The Art of Tbinki*& 4$* }ng the Life of the Reigning Prince, and the 'iiher after tHe De'ceafe of their Parents. Now tf it .1 V ask'd what Proof we have that fuch a Prince 5'efen'd for fome time with his Father , we mull ' mfcfi there is none Pofitive. But it fiifiices that it is thing Poffible,. and which has often come to pate other times, to make it Lawful for us to fup- [ ofe ir, as a Circnmftance neceffary to reconcile Hi- \ lories otherwife certain. And therefore there is nothing more ridiculous ien the endeavours of fome Perfons of this latter i^e, to prove that Sr. Peter never was at tymel "hey cannot deny this Truth to be artefted by all ic Ecclefiaftic Writers, and thofe the moft ancienf,, s Papias, Dtorii/jHSofCfttnrh. Caius, Iretueus^ Ter- t'tiian j againit whom there is not any one that ha* nade the leaft Contradiction. ! Neverrhelefs they imagih they can ruin this Truth by Conjectures ; for example, becaiife Sr. *aul makes no mention of St. Peter in his Epiftles Wicten at fyme 5 and when they are anfwer'd thac St. Peter might be then abfent from %me t in regard^ ne is not (aid to have fix'd 'his Seat there, as being bne that offcn Travel l ? d abroad to Preach the Gof- ipfel in other places; they repiy that this -isurg'd with- out any Proof, wftnch iV impertinent, becaufc the afc which they oppofe, being one of the moft confirm'd- Truths in Ecclefiaftical Hiftory, it is fuffieient for thofe. that uphold 5 r to reconcile thefe pretended con- tr-ajries.asthey do thofe of the Scripture it felf ; for- which, as we have (hew*d Poflibrlity wftifficienr. x T i^ i A Application of the PreceeJiw R t ,r etl ** ,/./,. T" 1 H E ty/e which we have explain'd is wfc. A out doubt of great Importance for *''". ?**8 our Rcafon in the belief g^MAk For want of ,he due Obfe* wn-rf ...luch we are in great danger of f.|, r n ritedX ang " ous cxtrcmities of Crcd ^ r T? i * or Example, there arc fame, who make a C> feence of queftioning any Miracle 5 becaufe tly on if tS& I ^^ fll UM ^ Obll '8 ld on all, (hould they queftionar ; and for ihersasr^culoufly ^agine, that it is in e er of the Undemanding to call all Miracle* 'on, tor no Bother reafon, becaufe fo m. related thai have prov'd to be filfe, ad L ^ywr^Tjn- - f-r u *^ ^^ i?- -ve nothing, but what is proportionable t< ifon. Aihhisis very good in h's elf; but very iteak to convince u*f a particular Miracle. &od does not alvnys aa according to h.s Power ; to is it an Argument, that a Miracle was wrought, etecaufe others of the -fame ' Nature have been i Bought. -And we may do well to bebeve, what * i nve our Reafdn, without being oblig d to bel.eve ,11 that Men are pleasM to obtrude upon us, as be- ng above our Reafon. The latter makes ufe of common Places of anc~ r fert :1 ^-' Joir ^ Y ~' Tr^,Vays one of 'em, flCmfi4ic*J -f j > *khold*itb the fame Eyes. I have have fc en tb e rif e tff e Leral miraeles in my Time. And tho tl:ty tonifb d in the Mirth, yet we cannot but forefie the train tkey rrould have \fotlxnd, bt* rby-KvM to their full Age. For it to Ktofind out the end of the Tliretd, and to cut it into as ***? fcicel ai 0* pk& and-thtre u not a greater di- K/tance between nothing and thefrnatltjl thivg in the* crld, y rbuchir>g the Reliques of Sr. ~Fara t as I am afTur'd 3V the Teftimony of 'a Peffon that faw her in both [VY ;.- conditions. ,, -, v St. Auftin afrtrms, that many real miracles were Brought in his time, that were known but to few ; emd which, though moft remarkable and wonder- Rjrl, ipread no farther then from one end of the TdWirto the other. Which induced him to write, and relate in his Sermons to the People, fach as t^ere M6ft certain. And he obferves in his Tffienij Srcmd Bdok. of the CityofGdJ, that in the firigfe City of Hippo , near Seventy Miracles were 'wroyglic ivtthih two years afre-r the Building of a ChappH in Hbridur of St. Stephen, befides a great number ef q- rriers which he did not commie to writing,whicn tbwever he teftifies to be true upon his -'know- ledge. We therefore fee that there is nothing mere irra- tional, then to guide our (elves by corrimon pWce?^ , upon thefe occafions j whether it fc>e in Wjectrng all Mintcles, or embracing^!!. And'thereford me nid/li Ntsmin 'Efi'b/ their particular CrcuiiiQradt^ iinla ^ Logic: O, p artlv u- obl e Man of Sence to But 1 affirm, that every Man of,Sc n , his Rinlr j f- ^ ^unremons and m i cook ^Cf/4f />, fome of which he faw' and others of which he was inform'd by the p c ? SSrSsR M wllofe fight the - y were '*m As Qt the r BJmd Man cur'd at Ai^ before all rha People, by touching the Reli C3 O f Sr.G.,J and tytf".* w ^h ^ reports in his Tonf^ ') 'Hid D -', ap. . ^ c . Mrade mas , "' ' ~ m ' hm i and the thing it ^, crowding to fa ^& ./ tl^M^ -WA. c/ijjTi^i^^ Protahus. Of a \Voman cured in <4/hc, by flowers rlnr BfflE^6s?^ r,-[ ^ f ^ n] "r cur>d of " o> ty ,h, % of the Crofs wh tt h ttc caus'd tobe made , Jp ! i the bore, by one mat was newly Baptifei accor- *ngto allenjatioo.whjch OK had -had, SSSBT $ :hap. XIV. The Art of ft: in king. 467 Of a Child- that dy'd Unbaptized, whcfe reftc- mon to Life the Mother ubtain'd by her Prayers rSt. Pfter, in tHe ftrength of her Faith, invo- fag him in thefeVords, : Ho!y Mfrtfc iijlere me my on: Thou -frofreft, I asi^ his Life for no other te$n, ut'becarfe be flculd'not te titrn'alljr fy^r^tcd from r ' Now If thefe things y be fappos'd to l&vj Sppen'd as they are related, there is no rations:; "grfbii biit : mult acknowledge thefe things to be tl ffnaer of God. So that all their Incredulity could [^would be to doubt of the Teflimony of St. M- >/ and to believe him a falfifyer of the Truth, o crain a Veneration of tlie Chriftian Religion mon S theP^^. Which b that which they have 10 'colour to imagine. LJoair - - " F/>/?, Bccftufe it is-not likely that h^-rftn c Cement would have told an untruth- :n rh TO ^ublic, wherein he mSgh: have been convn 'alftood by infinite Numbers' of Teftfmbm^ ^hi KoM have redounded to the Ignominy of the Chriftian Retigion.- > Becaufc there was never any Period i3c (///**/) LJ*- t w * i more a profefs'd Enemy of Falfhood, then this Ho- ly Man, efpecially in mutters of Religion, having mad- it the work of enrird Treati !^ to prove that it is not only unlawful to tell a lie ; hut a thing fo de- teftable, that it is not to bs made ufe of; though, the Converfion of Men to th~ Chriftian Fuiih. I have the more enlaf^'d mv' : felf s ufoii lM9 r'. . . ^ I U-^ ^.rtt rkrfMlli!.l__^^t.ri" SiJ ^>>tfe nurkuble Bjtam^ of tke 3 :". l\ r made in the Truth of A6Kom, to ierve as a Rule upon the-hfc occafion* becaufe we mofr common )/ demte m thofe : things. For every one 3 that ic is fufhcientfor the Decifwn of thofe to make a common Place, which for t-he rnofl port is onh :ornposd of Maxima, which,not only are not 3 verfa.I/ True but not fo much as probable, when they are joyn'd with the particular Circumfhn^ f Afhons that fall under Examination. And therefore QrcumfWs are to be compared and confiderd together, not confide, 'd a part Fori often happens that an Ad which is not very pra- bable , n one Grcumdance, ought to be e/eem'd and taken fo, -certain, according to orher Circun> ftances : And on the other fide, an Aclion which ^tS^^^^^^ Chapter. :nj - jom rf A . . ZZ^'JS ,'iiJ- credit XV. The. Art of -Unking. 46? edit be to be given to the Factor no ; there are .me which we may call common Carcuvjfiances, be- uife they frequently occur ; and are far oftner joy n- irito Truth than Falfhood, and then if they be not Counter- balianc'd by other paiticakT Circuinftan- *s that ruin the motives of belief drawn from com- non Circuraftances, we have reafon tobeiieve thofe ivents, if not to be certain, yet at leaft to be pro- jable ; which probability is fufBcient, when we are bound to pronounce our opinion in fuch cafes. For as we ought to be fatkfi'd with a moral aflurance, fn things not capable of Metaphyfical certainty ; fo when we cannot obtain a full moral affbrance, the beft we can do, when wears to refblve, i to embrace the moft probable ; for it would be con- trary to reafon to embrace the leaft probable. Bui it on the other fide th(e common Gircum- ftances, which would have induc'd us lo. beliere a . thing^ be joyn'd with other particular Circumftan- ccs that ruin the motives of belief, drawn frbm common Circurnftances, or be fiich as are rarely found without falfhocd, we are not then any lon ge r to believe 'th^t Ernr* Bat either we remain in fufpence, if the particular Circumftances enfeeble the weight of caftirnpnCireurnftances, or we believe the aclion to be falfty if the Circumftanees arc fuch- as are ufijally the marks of Falfliood. Foe example, it is a common Ckcumftance,;: for many Contracts to be figo'd by two, publick Nota- - *tes ; that is, by .two publiek l?ej[pfls, w __^. he contraa to be falffv") *? " fol ' e *> Wfcr dged and affixed ro the Work j and for the Ad"U |f ; a Council which we read every day ; nor are wa x^beiicvc the contrary , but upon very lirong fcafons t .^^oiiTi : Jv :^^^ k ;^^v* Therefore a molt learned Perfon or this Agf^. )eing to prove , that the Epiftle of Cjprian to ?ope Stevw, about Martian. Biihop of Aries, was lone of the Holy Martyrs, he could not con- vince the Learned, his Conjectures not feeming Efficient to deprive Sr. Cyfritn of a Piece that had always carried his Name, and which has & perfe& relemblance .of Stylo , withr the reft. of. bus Works. ^fijji^bii^'iijwi 'Ol^^Ml*-' In vain alfo it is, that Wondel and Salmafius, not able to anfwer the Argument drawn from the Epi- files of IrnAtiiU) for the fuperiority of Bilhops a- bove Priefts,in the Infancy of the Church, pretend thofe Epiftles to be Counterfeit, though as they Were Printed by Voflitu and I'facr^ from the An- cient Manulcript in the Florentine -Library : Info- much that they have been refuted by thole of their - own party. For that canfeffing as they do, : that. c; Or, -Part IV &.jehm t Theodore* Mid Org* hraifclf, rhen > , that the true Epiftles fhault havedifappear'd , and orb eh be eonntcrfcired % nme befwreen P^ and -Or/'w or , um Befides, that thofe Epiftles of j^^w, which we have no^, weatfuch a Character of the holinefi and (impitc.ry, f o proper ro.the Apoftolic Time?, that theyjuftifie themfelves againfl the vain accu- fanons of being falfe and eounterfeir. L*ftfo*\\. the difficulties -that Cardinal Perroti propofes againft the Epiftles of the Council of ^ yr,c,to PopeCW^,,, touching Appeals to the See, cannot prevail with us to believe orherwife now therf before, but that thofe Epiftles were really written' by the Council. $mnn& 3d>iTjj-'->H-ft h { iA^l But it happens fometin^ that particular Circum-: ha-n long* : So that altho the Epiftle of Sr. Clement to r *w: BiOiop of frrufit/embe tranflcd byJ?ff ww; ,. near upon thirteen hundred Years ago, and that it cited and own'd for St. dement by a Council of; France, above twelve Hundred years ago, yet w* : can hardly believe it otherwifc than Coun'terreit In regard that St. James being Martyr'd before Sr P?- *r t it k impoffiblc that St..c; eme f fhould write after *c _Death of St. &*?, as . the Epiftle fuppofes. I hus tho the Commentaries upon Sr. Paid arc attributed to St. Jlmb&find cited under his Name ty a great number of Authors, togetbw with that = p. XV. The. Art of Thinking. 47 3 '' " ' "" ' ' ' ..... mu. - I J -1 ---------- . ...i ,, ..[I... , \ operfecl Work upon- St. Mafbeur, under the name f'G&rjfoftom. All Men however at this day agree Khat they belong to neither, but to other ancient Authors full of many Errorfene e bNeaq^slib avurf .. -Laftfy, the Ae Celebrated j bvic they contain fb many abfbrdi-' iea, fo disagreeable from thofe times , that there * great likelihood of their being falfe and counter- m , uy. ^aifti^a *Mi -?^Jtt^ : : And thefe are the Remarks which may ferve for hfe forts of judgments. But we muft not imagirr el to be of fuch great u(e, as always to free, us. Tom the danger of being dsceiv'd. All that they ^tr dp at moft, is to .guard us from the.more grbfi md apparent Abfurdities^ and to enure us it :Q be carried aftray by common Places , which containing Something of general Truth, ceafe net however to be falfe upon many particular occafi- ans, which is one of the chiefeft fources.of human. Error.' 3io^ b'jviiiM nbd im .12 i*rfi txfuA io nocju wiKjirtwnfl^oD sdi od) 474 ecl, a? the gain of a Hundred Thoufand Crown?, rhey think they act wifely to endeavour the gain- ang of ir, if the Venter coft but little, let the pro- fcability of fuccefs be- never fb. fmall. By fuch a Ratiocination as this it war, that a iPrincefs hearing that feme Perfbns had been over- tvhclm'd by ihe fall of a Roof, would never go in- to a Hou(e,'dil {he had all the Roofs firft view'd ; [and (he was fo fully perfwaded, that (he had a rea- fon for fo doing, that fhe accounted all other im- prudenr, that did not as {he did. 'Tis al(o this appearance of Rea(bn,that engages ieveral Perfons into inconvenient and exceffive cau- tions for the prefervation of their Heal 1 . h. This is that which renders others diftruftful even in liwle >Things; for that having been fbmetimes deceiv'd, they believe they fhall be deceiv'd in all their other Buiinef*. This is that which enveagles fo raar>y People to Lotteries, to gain, cry they, Twenty Thoufand Crowns for one C rown, K not that a very great advantage ? And every one believes Jiimfelf {hall be that happy Perfon, upon whom this great Fortune ihall ihowr it felf : Never con- fidering, that though the I^ts promife Twenty Thouland for One, 'ris Thirty times more pro- bable to every particular perfon, that he {hall be a loofer than a winqqtoi icn io O9q^td;^'aah90 And 47< ic.:..0r, - babilirv ro Jo */^ as ninc ^ e S ree s of Pro* M. likdi- ^ '" liap. X V^Tbe_Art of 'thinking. 477 I elihood of winning as looting, fooutd Play nine flofc to one. Now if this be difadvantageous to fcwhole Crowd, it muft be alfothefamc jio eve- ir particular Perfon, becatrfe the ^obab.hty of bfing, far more farpaffes' the Probably of gam- fe then the advantage we Hope for the ' Madvai> ereisauene ,fs of a thing, that how advarkageousjoever it be, fmaltfoeverTVhmrd of Winning, it oohft Jhtw maoever Jtter not to hazard. Thus* would be : a foohft So// a ^ ten ii*L or againft a Kingdom, upon condition he .ould not winn, unlefs fuch an Infant taking out le Letters out of a Printers Cafe by accident did fo of a fuddain Compofe thefirft twenty Verfes of ,Ws ^Eneiads. For indeed there are tew Mo- ,cnr' S fcape us, wherein we do nor run' the F f loofmg more, than a King that fhould ftake is Kingdom to fuch a Condtuon, Thele Reflexions feem of .little value, and are > indeed if ve ftop here ; but we may make ufcof ni in matters of greater ^ Importance ; anc he, hiefeft ufe we can make of 'em,is to render Us more atioV ia l in our hopes and fears. For Example,, here are fome Perfons that are in a Pannie dread ^hen they hear it Thunder ; which clatter jmcl, mri^burly in the Sky, if h pur em mmmd of 3od -and Death, ***&.? Bur : if only the fearof ' iz Thunder-ftrutJkV'caul^this tctraordmary ap- - prehenGcn, >cin , Partly * ' 478 Logic: 0^ prehenfiori, then it will-eafily appear how imie Reafon they have. For of two Millions of Per- Ions ris vprv rrs?>,~I-i jr'^, ; __ L_ i M:J i . ons o ions cis very much if 'one be kili'd in that i*r ; and w* may alfo aver , that there fort of violent Death happens fo rarely. Sine. then the fear of mifchief ought to be Prop J uonabfc to the greatnefi of the danger, and th, Probability of the Event, as there is no fort of .1 fo T ly befals u as to be ww Thunder fo have ive the leaft reafon'to fcar Wl11 n Hence Arguments may be produc'd not only to undeceive fuch People as are fo over nJ- rofely and unfeafbnably cautious J n the Prefer-. vanon-of ,hejr Health an d Live, ,' by ftewing em that thofe Precautions are much more ml ctocjous than the danger fa remote from The a cadentwh 1 ch they fear; but alfo to difabufe Bother fort that always argue thus in other affWs, there danger in this Bufmefs , there- f r VV\ eV ' 1; In rCgard We ^not tojud, of thofa things , either by the danger or J th e advantage, but by to prO p Ortio / 0fie g M ' h lhe ^ tUT r f thj ' n ^ S Finjre > be excee- ded, how bulky foever they be by the le-ift of things if multiplied often enough o the l.rt!e t ,h !n gs are far more SupericSr o the Lea ones i probkbi% of Event /than they lr! n- tenor to \m in bigncfs. For XVI. TJje Arj_ of n'i*ki*g._479 "For an Atome may exceed a Mountain if it e(ufficientlymul5pl5ea,or if this great Good we ifh for is fo difficult to be obtam'd , that t irpafles the little one more in Magnitude, than ne little oneTurpafles the grcawr in hiciluy ot dng obtain'd. The fame is to be fuid of thole nlfchiefs which we fear ; that is, th the leaft Evil may be more confiderable 'than the greateft Evil, which is not Infinite, if it furpafs it accor- ling to this proportion. There are nothing but .Infinite things that can DC equall'dby any temporal advantage, and therefore hey are never to be put in the Balance wirh.any of the things of this World, And therefore tne eaft degree of Facility for a Man to (ave himftli is worth all the felicities of this World join d toge- ther. And the leaadanga^nootmg : H.)^mQi-e confiderable, than ail temporal mjfchiefs , it only looked "upon as Misfortunes. " And this may be fufficlent, for all rauopalper- fons to draw from what has been (aid, this Con- clufion, with which we will end our Logic T-r the reatrtoftli Iwpn<&nce,,and btgbeft of all M*d- m *$ *ofpcnd our U^ and , our "Km, >n any tlinr e'fe than in what may be fcrvtceable to ac^re IK 4 Life tb.it never '{hall bwe an end. Smce the Good and Evil of this Life is nothing, if compa- red to the felicities and fufterings of the other ; and the danger of falling imp -the one is as great ,3 ihc difficulty of acqutring the oiber ni bngid ni en/ ^ io r i Or, " They who draw this Conclufion, and follow i! m the Condurt of their Lives, are Prudent an,! jfe, let em be never fo unlearned in Argument cofcerning the Science* Whereas they who neoi ea.r,tho never fo Learned in otherthings, are ca kd in Scnpture Foo^Madmen, andnfake but a, til ufe ofLog ( c,Reafon, or their Lives. V ' t-s- - * University of California SOUTHERN REGIONAL LIBRARY FACILITY Return this material to the library from which it was borrowed. - c i :$ WAP O A 000 000 255 o 62 1693