If,ontheotherhand,itisapropertyofprudencetobetheknowledgeofthenoble,itcouldnotbeapropertyofittobetheknowledgeofthebase。]Foritisimpossibleforthesamethingtobeapropertyofmorethanonesubject。Forconstructivepurposes,ontheotherhand,thiscommonplaceruleisofnouse:forwhatis’identicallyrelated’isasinglepredicateinprocessofcomparisonwithmorethanonesubject。
Next,fordestructivepurposes,seeifthepredicatequalifiedbytheverb’tobe’failstobeapropertyofthesubjectqualifiedbytheverb’tobe’:forthenneitherwillthedestructionoftheonebeapropertyoftheotherqualifiedbytheverb’tobedestroyed’,norwillthe’becoming’theonebeapropertyoftheotherqualifiedbytheverb’tobecome’。Thus(e。g。)inasmuchasitisnotapropertyof’man’tobeananimal,neithercoulditbeapropertyofbecomingamantobecomeananimal;norcouldthedestructionofananimalbeapropertyofthedestructionofaman。Inthesamewayoneshouldderiveargumentsalsofrom’becoming’to’being’and’beingdestroyed’,andfrom’beingdestroyed’to’being’andto’becoming’
exactlyastheyhavejustbeengivenfrom’being’to’becoming’and’beingdestroyed’。Forconstructivepurposes,ontheotherhand,seeifthesubjectsetdownasqualifiedbytheverb’tobe’hasthepredicatesetdownassoqualified,asitsproperty:forthenalsothesubjectqualifiedbythevery’tobecome’willhavethepredicatequalifiedby’tobecome’asitsproperty,andthesubjectqualifiedbytheverbtobedestroyed’willhaveasitspropertythepredicaterenderedwiththisqualification。Thus,forexample,inasmuchasitisapropertyofmantobeamortal,itwouldbeapropertyofbecomingamantobecomeamortal,andthedestructionofamortalwouldbeapropertyofthedestructionofaman。Inthesamewayoneshouldderiveargumentsalsofrom’becoming’and’beingdestroyed’bothto’being’andtotheconclusionsthatfollowfromthem,exactlyaswasdirectedalsoforthepurposeofdestruction。
Nexttakealookatthe’idea’ofthesubjectstated,andsee,fordestructivepurposes,ifthesuggestedpropertyfailstobelongtothe’idea’inquestion,orfailstobelongtoitinvirtueofthatcharacterwhichcausesittobearthedescriptionofwhichthepropertywasrendered:forthenwhathasbeenstatedtobeapropertywillnotbeaproperty。Thus(e。g。)inasmuchas’beingmotionless’doesnotbelongto’man—himself’qua’man’,butqua’idea’,itcouldnotbeapropertyof’man’tobemotionless。Forconstructivepurposes,ontheotherhand,seeifthepropertyinquestionbelongstotheidea,andbelongstoitinthatrespectinvirtueofwhichthereispredicatedofitthatcharacterofwhichthepredicateinquestionhasbeenstatednottobeaproperty:forthenwhathasbeenstatednottobeapropertywillbeaproperty。
Thus(e。g。)inasmuchasitbelongsto’living—creature—itself’tobecompoundedofsoulandbody,andfurtherthisbelongstoitqua’living—creature’,itwouldbeapropertyof’living—creature’tobecompoundedofsoulandbody。
8
Nextlookfromthepointofviewofgreaterandlessdegrees,andfirst(a)fordestructivepurposes,seeifwhatismore—Pfailstobeapropertyofwhatismore—S:forthenneitherwillwhatisless—Pbeapropertyofwhatisless—S,norleast—Pofleast—S,normost—Pofmost—S,norPsimplyofSsimply。Thus(e。g。)inasmuchasbeingmorehighlycolouredisnotapropertyofwhatismoreabody,neithercouldbeinglesshighlycolouredbeapropertyofwhatislessabody,norbeingcolouredbeapropertyofbodyatall。Forconstructivepurposes,ontheotherhand,seeifwhatismore—Pisapropertyofwhatismore—S:forthenalsowhatisless—PwillbeapropertyofwhatislessS,andleast—Pofleast—S,andmost—Pofmost—S,andPsimplyofSsimply。Thus(e。g。)inasmuchasahigherdegreeofsensationisapropertyofahigherdegreeoflife,alowerdegreeofsensationalsowouldbeapropertyofalowerdegreeoflife,andthehighestofthehighestandthelowestofthelowestdegree,andsensationsimplyoflifesimply。
Alsoyoushouldlookattheargumentfromasimplepredicationtothesamequalifiedtypesofpredication,andsee,fordestructivepurposes,ifPsimplyfailstobeapropertyofSsimply;forthenneitherwillmore—Pbeapropertyofmore—S,norless—Pofless—S,normost—Pofmost—S,norleast—Pofleast—S。Thus(e。g。)inasmuchas’virtuous’isnotapropertyof’man’,neithercould’morevirtuous’
beapropertyofwhatis’morehuman’。Forconstructivepurposes,ontheotherhand,seeifPsimplyisapropertyofSsimply:forthenmorePalsowillbeapropertyofmore—S,andless—Pofless—S,andleast—Pofleast—S,andmost—Pofmost—S。Thus(e。g。)atendencytomoveupwardsbynatureisapropertyoffire,andsoalsoagreatertendencytomoveupwardsbynaturewouldbeapropertyofwhatismorefiery。Inthesamewaytoooneshouldlookatallthesemattersfromthepointofviewoftheothersaswell。
Secondly(b)fordestructivepurposes,seeifthemorelikelypropertyfailstobeapropertyofthemorelikelysubject:forthenneitherwillthelesslikelypropertybeapropertyofthelesslikelysubject。Thus(e。g。)inasmuchas’perceiving’ismorelikelytobeapropertyof’animal’than’knowing’of’man’,and’perceiving’isnotapropertyof’animal’,’knowing’couldnotbeapropertyof’man’。Forconstructivepurposes,ontheotherhand,seeifthelesslikelypropertyisapropertyofthelesslikelysubject;forthentoothemorelikelypropertywillbeapropertyofthemorelikelysubject。Thus(e。g。)inasmuchas’tobenaturallycivilized’islesslikelytobeapropertyofmanthan’tolive’ofananimal,anditisapropertyofmantobenaturallycivilized,itwouldbeapropertyofanimaltolive。
Thirdly(c)fordestructivepurposes,seeifthepredicatefailstobeapropertyofthatofwhichitismorelikelytobeaproperty:forthenneitherwillitbeapropertyofthatofwhichitislesslikelytobeaproperty:whileifitisapropertyoftheformer,itwillnotbeapropertyofthelatter。Thus(e。g。)
inasmuchas’tobecoloured’ismorelikelytobeapropertyofa’surface’thanofa’body’,anditisnotapropertyofasurface,’tobecoloured’couldnotbeapropertyof’body’;whileifitisapropertyofa’surface’,itcouldnotbeapropertyofa’body’。Forconstructivepurposes,ontheotherhand,thiscommonplaceruleisnotofanyuse:foritisimpossibleforthesamethingtobeapropertyofmorethanonething。
Fourthly(d)fordestructivepurposes,seeifwhatismorelikelytobeapropertyofagivensubjectfailstobeitsproperty:forthenneitherwillwhatislesslikelytobeapropertyofitbeitsproperty。Thus(e。g。)inasmuchas’sensible’ismorelikelythan’divisible’tobeapropertyof’animal’,and’sensible’isnotapropertyofanimal,’divisible’couldnotbeapropertyofanimal。Forconstructivepurposes,ontheotherhand,seeifwhatislesslikelytobeapropertyofitisaproperty;forthenwhatismorelikelytobeapropertyofitwillbeapropertyaswell。Thus,forexample,inasmuchas’sensation’islesslikelytobeapropertyof’animal’thanlife’,and’sensation’isapropertyofanimal,’life’
wouldbeapropertyofanimal。
Next,lookfromthepointofviewoftheattributesthatbelonginalikemanner,andfirst(a)fordestructivepurposes,seeifwhatisasmuchapropertyfailstobeapropertyofthatofwhichitisasmuchaproperty:forthenneitherwillthatwhichisasmuchapropertyasitbeapropertyofthatofwhichitisasmuchaproperty。Thus(e。g。)inasmuchas’desiring’isasmuchapropertyofthefacultyofdesireasreasoning’isapropertyofthefacultyofreason,anddesiringisnotapropertyofthefacultyofdesire,reasoningcouldnotbeapropertyofthefacultyofreason。Forconstructivepurposes,ontheotherhand,seeifwhatisasmuchapropertyisapropertyofthatofwhichitisasmuchaproperty:
forthenalsowhatisasmuchapropertyasitwillbeapropertyofthatofwhichitisasmuchaproperty。Thus(e。g。)inasmuchasitisasmuchapropertyof’thefacultyofreason’tobe’theprimaryseatofwisdom’asitisof’thefacultyofdesire’tobe’theprimaryseatoftemperance’,anditisapropertyofthefacultyofreasontobetheprimaryseatofwisdom,itwouldbeapropertyofthefacultyofdesiretobetheprimaryseatoftemperance。
Secondly(b)fordestructivepurposes,seeifwhatisasmuchapropertyofanythingfailstobeapropertyofit:forthenneitherwillwhatisasmuchapropertybeapropertyofit。Thus(e。g。)
inasmuchas’seeing’isasmuchapropertyofmanas’hearing’,and’seeing’isnotapropertyofman,’hearing’couldnotbeapropertyofman。Forconstructivepurposes,ontheotherhand,seeifwhatisasmuchapropertyofitisitsproperty:forthenwhatisasmuchapropertyofitastheformerwillbeitspropertyaswell。Thus(e。g。)
itisasmuchapropertyofthesoultobetheprimarypossessorofapartthatdesiresasofapartthatreasons,anditisapropertyofthesoultobetheprimarypossessorofapartthatdesires,andsoitbeapropertyofthesoultobetheprimarypossessorofapartthatreasons。
Thirdly(c)fordestructivepurposes,seeifitfailstobeapropertyofthatofwhichitisasmuchaproperty:forthenneitherwillitbeapropertyofthatofwhichitisasmuchapropertyasoftheformer,whileifitbeapropertyoftheformer,itwillnotbeapropertyoftheother。Thus(e。g。)inasmuchas’toburn’isasmuchapropertyof’flame’asof’livecoals’,and’toburn’isnotapropertyofflame,’toburn’couldnotbeapropertyoflivecoals:whileifitisapropertyofflame,itcouldnotbeapropertyoflivecoals。Forconstructivepurposes,ontheotherhand,thiscommonplaceruleisofnouse。
Therulebasedonthingsthatareinalikerelation’differsfromtherulebasedonattributesthatbelonginalikemanner,’becausetheformerpointissecuredbyanalogy,notfromreflectiononthebelongingofanyattribute,whilethelatterisjudgedbyacomparisonbasedonthefactthatanattributebelongs。
Next,fordestructivepurposes,seeifinrenderingthepropertypotentially,hehasalsothroughthatpotentialityrenderedthepropertyrelativelytosomethingthatdoesnotexist,whenthepotentialityinquestioncannotbelongtowhatdoesnotexist:forthenwhatisstatedtobeapropertywillnotbeaproperty。Thus(e。g。)hewhohassaidthat’breathable’isapropertyof’air’has,ontheonehand,renderedthepropertypotentially(forthatis’breathable’whichissuchascanbebreathed),andontheotherhandhasalsorenderedthepropertyrelativelytowhatdoesnotexist:—forwhileairmayexist,eventhoughthereexistnoanimalsoconstitutedastobreathetheair,itisnotpossibletobreatheitifnoanimalexist:sothatitwillnot,either,beapropertyofairtobesuchascanbebreathedatatimewhenthereexistsnoanimalsuchastobreatheitandsoitfollowsthat’breathable’couldnotbeapropertyofair。
Forconstructivepurposes,seeifinrenderingthepropertypotentiallyherendersthepropertyeitherrelativelytosomethingthatexists,ortosomethingthatdoesnotexist,whenthepotentialityinquestioncanbelongtowhatdoesnotexist:forthenwhathasbeenstatednottobeapropertywillbeaproperty。Thuse。g。)hewhorendersitasapropertyof’being’tobe’capableofbeingacteduponorofacting’,inrenderingthepropertypotentially,hasrenderedthepropertyrelativelytosomethingthatexists:forwhen’being’exists,itwillalsobecapableofbeingacteduponorofactinginacertainway:sothattobe’capableofbeingacteduponorofacting’wouldbeapropertyof’being’。
Next,fordestructivepurposes,seeifhehasstatedthepropertyinthesuperlative:forthenwhathasbeenstatedtobeapropertywillnotbeaproperty。Forpeoplewhorenderthepropertyinthatwayfindthatoftheobjectofwhichthedescriptionistrue,thenameisnottrueaswell:forthoughtheobjectperishthedescriptionwillcontinueinbeingnonetheless;foritbelongsmostnearlytosomethingthatisinbeing。Anexamplewouldbesupposinganyoneweretorender’thelightestbody’asapropertyof’fire’:for,thoughfireperish,thereehrewillstillbesomeformofbodythatisthelightest,sothat’thelightestbody’couldnotbeapropertyoffire。
Forconstructivepurposes,ontheotherhand,seeifhehasavoidedrenderingthepropertyinthesuperlative:forthenthepropertywillinthisrespecthavebeenpropertyofmanhasnotrenderedthepropertycorrectlystated。Thus(e。g。)inasmuchasheinthesuperlative,thepropertywouldinwhostates’anaturallycivilizedanimal’asathisrespecthavebeencorrectlystated。
BookVI
1
THEdiscussionofDefinitionsfallsintofiveparts。Foryouhavetoshoweither(1)thatitisnottrueatalltoapplytheexpressionaswelltothattowhichthetermisapplied(forthedefinitionofManoughttobetrueofeveryman);or(2)thatthoughtheobjecthasagenus,hehasfailedtoputtheobjectdefinedintothegenus,ortoputitintotheappropriategenus(fortheframerofadefinitionshouldfirstplacetheobjectinitsgenus,andthenappenditsdifferences:forofalltheelementsofthedefinitionthegenusisusuallysupposedtobetheprincipalmarkoftheessenceofwhatisdefined):or(3)thattheexpressionisnotpeculiartotheobject(for,aswesaidaboveaswell,adefinitionoughttobepeculiar):orelse(4)seeif,thoughhehasobservedalltheaforesaidcautions,hehasyetfailedtodefinetheobject,thatis,toexpressitsessence。(5)Itremains,apartfromtheforegoing,toseeifhehasdefinedit,butdefineditincorrectly。
Whether,then,theexpressionbenotalsotrueofthatofwhichthetermistrueyoushouldproceedtoexamineaccordingtothecommonplacerulesthatrelatetoAccident。Fortheretoothequestionisalways’Issoandsotrueoruntrue?’:forwheneverwearguethatanaccidentbelongs,wedeclareittobetrue,whilewheneverwearguethatitdoesnotbelong,wedeclareittobeuntrue。
If,again,hehasfailedtoplacetheobjectintheappropriategenus,oriftheexpressionbenotpeculiartotheobject,wemustgoontoexaminethecaseaccordingtothecommonplacerulesthatrelatetogenusandproperty。
Itremains,then,toprescribehowtoinvestigatewhethertheobjecthasbeeneithernotdefinedatall,orelsedefinedincorrectly。
First,then,wemustproceedtoexamineifithasbeendefinedincorrectly:forwithanythingitiseasiertodoitthantodoitcorrectly。Clearly,then,moremistakesaremadeinthelattertaskonaccountofitsgreaterdifficulty。Accordinglytheattackbecomeseasierinthelattercasethanintheformer。
Incorrectnessfallsintotwobranches:(1)first,theuseofobscurelanguage(forthelanguageofadefinitionoughttobetheveryclearestpossible,seeingthatthewholepurposeofrenderingitistomakesomethingknown);(secondly,iftheexpressionusedbelongerthanisnecessary:foralladditionalmatterinadefinitionissuperfluous。Again,eachoftheaforesaidbranchesisdividedintoanumberofothers。
2
Onecommonplacerule,then,inregardtoobscurityis,Seeifthemeaningintendedbythedefinitioninvolvesanambiguitywithanyother,e。g。’Becomingisapassageintobeing’,or’Healthisthebalanceofhotandcoldelements’。Here’passage’and’balance’areambiguousterms:itisaccordinglynotclearwhichoftheseveralpossiblesensesofthetermheintendstoconvey。Likewisealso,ifthetermdefinedbeusedindifferentsensesandhehasspokenwithoutdistinguishingbetweenthem:forthenitisnotcleartowhichofthemthedefinitionrenderedapplies,andonecanthenbringacaptiousobjectiononthegroundthatthedefinitiondoesnotapplytoallthethingswhosedefinitionhehasrendered:andthiskindofthingisparticularlyeasyinthecasewherethedefinerdoesnotseetheambiguityofhisterms。Or,again,thequestionermayhimselfdistinguishthevarioussensesofthetermrenderedinthedefinition,andtheninstitutehisargumentagainsteach:foriftheexpressionusedbenotadequatetothesubjectinanyofitssenses,itisclearthathecannothavedefineditinanysensearight。
Anotherruleis,Seeifhehasusedametaphoricalexpression,as,forinstance,ifhehasdefinedknowledgeas’unsupplantable’,ortheearthasa’nurse’,ortemperanceasa’harmony’。Forametaphoricalexpressionisalwaysobscure。Itispossible,also,toarguesophisticallyagainsttheuserofametaphoricalexpressionasthoughhehaduseditinitsliteralsense:forthedefinitionstatedwillnotapplytothetermdefined,e。g。inthecaseoftemperance:forharmonyisalwaysfoundbetweennotes。Moreover,ifharmonybethegenusoftemperance,thenthesameobjectwilloccurintwogeneraofwhichneithercontainstheother:forharmonydoesnotcontainvirtue,norvirtueharmony。Again,seeifheusestermsthatareunfamiliar,aswhenPlatodescribestheeyeas’brow—shaded’,oracertainspideraspoison—fanged’,orthemarrowas’boneformed’。Foranunusualphraseisalwaysobscure。
Sometimesaphraseisusedneitherambiguously,noryetmetaphorically,noryetliterally,aswhenthelawissaidtobethe’measure’or’image’ofthethingsthatarebynaturejust。Suchphrasesareworsethanmetaphor;forthelatterdoesmakeitsmeaningtosomeextentclearbecauseofthelikenessinvolved;forthosewhousemetaphorsdosoalwaysinviewofsomelikeness:whereasthiskindofphrasemakesnothingclear;forthereisnolikenesstojustifythedescription’measure’or’image’,asappliedtothelaw,noristhelawordinarilysocalledinaliteralsense。Sothen,ifamansaysthatthelawisliterallya’measure’oran’image’,hespeaksfalsely:foranimageissomethingproducedbyimitation,andthisisnotfoundinthecaseofthelaw。If,ontheotherhand,hedoesnotmeanthetermliterally,itisclearthathehasusedanunclearexpression,andonethatisworsethananysortofmetaphoricalexpression。
Moreover,seeiffromtheexpressionusedthedefinitionofthecontrarybenotclear;fordefinitionsthathavebeencorrectlyrenderedalsoindicatetheircontrariesaswell。Or,again,seeif,whenitismerelystatedbyitself,itisnotevidentwhatitdefines:
justasintheworksoftheoldpainters,unlesstherewereaninscription,thefiguresusedtobeunrecognizable。
3
If,then,thedefinitionbenotclear,youshouldproceedtoexamineonlinessuchasthese。If,ontheotherhand,hehasphrasedthedefinitionredundantly,firstofalllookandseewhetherhehasusedanyattributethatbelongsuniversally,eithertorealobjectsingeneral,ortoallthatfallunderthesamegenusastheobjectdefined:forthementionofthisissuretoberedundant。Forthegenusoughttodividetheobjectfromthingsingeneral,andthedifferentiafromanyofthethingscontainedinthesamegenus。Nowanytermthatbelongstoeverythingseparatesoffthegivenobjectfromabsolutelynothing,whileanythatbelongstoallthethingsthatfallunderthesamegenusdoesnotseparateitofffromthethingscontainedinthesamegenus。Anyaddition,then,ofthatkindwillbepointless。
Orseeif,thoughtheadditionalmattermaybepeculiartothegiventerm,yetevenwhenitisstruckouttherestoftheexpressiontooispeculiarandmakescleartheessenceoftheterm。Thus,inthedefinitionofman,theaddition’capableofreceivingknowledge’issuperfluous;forstrikeitout,andstilltheexpressionispeculiarandmakesclearhisessence。Speakinggenerally,everythingissuperfluousuponwhoseremovaltheremainderstillmakesthetermthatisbeingdefinedclear。Such,forinstance,wouldalsobethedefinitionofthesoul,assumingittobestatedasa’self—movingnumber’;forthesoulisjust’theself—moving’,asPlatodefinedit。Orperhapstheexpressionused,thoughappropriate,yetdoesnotdeclaretheessence,iftheword’number’beeliminated。Whichofthetwoistherealstateofthecaseitisdifficulttodetermineclearly:therightwaytotreatthematterinallcasesistobeguidedbyconvenience。Thus(e。g。)itissaidthatthedefinitionofphlegmisthe’undigestedmoisturethatcomesfirstofffood’。Heretheadditionoftheword’undigested’issuperfluous,seeingthat’thefirst’isoneandnotmany,sothatevenwhenundigested’isleftoutthedefinitionwillstillbepeculiartothesubject:foritisimpossiblethatbothphlegmandalsosomethingelseshouldbothbethefirsttoarisefromthefood。Orperhapsthephlegmisnotabsolutelythefirstthingtocomeoffthefood,butonlythefirstoftheundigestedmatters,sothattheaddition’undigested’isrequired;
forstatedtheotherwaythedefinitionwouldnotbetrueunlessthephlegmcomesfirstofall。
Moreover,seeifanythingcontainedinthedefinitionfailstoapplytoeverythingthatfallsunderthesamespecies:forthissortofdefinitionisworsethanthosewhichincludeanattributebelongingtoallthingsuniversally。Forinthatcase,iftheremainderoftheexpressionbepeculiar,thewholetoowillbepeculiar:forabsolutelyalways,iftosomethingpeculiaranythingwhateverthatistruebeadded,thewholetoobecomespeculiar。Whereasifanypartoftheexpressiondonotapplytoeverythingthatfallsunderthesamespecies,itisimpossiblethattheexpressionasawholeshouldbepeculiar:foritwillnotbepredicatedconvertiblywiththeobject;
e。g。’awalkingbipedanimalsixfeethigh’:foranexpressionofthatkindisnotpredicatedconvertiblywiththeterm,becausetheattribute’sixfeethigh’doesnotbelongtoeverythingthatfallsunderthesamespecies。
Again,seeifhehassaidthesamethingmorethanonce,saying(e。g。)’desire’isa’conationforthepleasant’。For’desire’isalways’forthepleasant’,sothatwhatisthesameasdesirewillalsobe’forthepleasant’。Accordinglyourdefinitionofdesirebecomes’conation—for—the—pleasant’:fortheword’desire’istheexactequivalentofthewords’conationfor—the—pleasant’,sothatbothalikewillbe’forthepleasant’。Orperhapsthereisnoabsurdityinthis;forconsiderthisinstance:—Manisabiped’:
therefore,whatisthesameasmanisabiped:but’awalkingbipedanimal’isthesameasman,andthereforewalkingbipedanimalisabiped’。Butthisinvolvesnorealabsurdity。For’biped’isnotapredicateof’walkinganimal’:ifitwere,thenweshouldcertainlyhave’biped’predicatedtwiceofthesamething;butasamatteroffactthesubjectsaidtobeabipedis’awalkingbipedanimal’,sothattheword’biped’isonlyusedasapredicateonce。Likewisealsointhecaseof’desire’aswell:foritisnot’conation’thatissaidtobe’forthepleasant’,butratherthewholeidea,sothattheretoothepredicationisonlymadeonce。Absurdityresults,notwhenthesamewordisutteredtwice,butwhenthesamethingismorethanoncepredicatedofasubject;e。g。ifhesays,likeXenocrates,thatwisdomdefinesandcontemplatesreality:’fordefinitionisacertaintypeofcontemplation,sothatbyaddingthewords’andcontemplates’overagainhesaysthesamethingtwiceover。
Likewise,too,thosefailwhosaythat’cooling’is’theprivationofnaturalheat’。Forallprivationisaprivationofsomenaturalattribute,sothattheadditionoftheword’natural’issuperfluous:itwouldhavebeenenoughtosay’privationofheat’,fortheword’privation’showsofitselfthattheheatmeantisnaturalheat。
Again,seeifauniversalhavebeenmentionedandthenaparticularcaseofitbeaddedaswell,e。g。’Equityisaremissionofwhatisexpedientandjust’;forwhatisjustisabranchofwhatisexpedientandisthereforeincludedinthelatterterm:itsmentionisthereforeredundant,anadditionoftheparticularaftertheuniversalhasbeenalreadystated。Soalso,ifhedefines’medicine’as’knowledgeofwhatmakesforhealthinanimalsandmen’,or’thelaw’as’theimageofwhatisbynaturenobleandjust’;forwhatisjustisabranchofwhatisnoble,sothathesaysthesamethingmorethanonce。
4
Whether,then,amandefinesathingcorrectlyorincorrectlyyoushouldproceedtoexamineontheseandsimilarlines。Butwhetherhehasmentionedanddefineditsessenceorno,shouldbeexaminedasfollows:Firstofall,seeifhehasfailedtomakethedefinitionthroughtermsthatarepriorandmoreintelligible。Forthereasonwhythedefinitionisrenderedistomakeknownthetermstated,andwemakethingsknownbytakingnotanyrandomterms,butsuchasarepriorandmoreintelligible,asisdoneindemonstrations(forsoitiswithallteachingandlearning);accordingly,itisclearthatamanwhodoesnotdefinethroughtermsofthiskindhasnotdefinedatall。Otherwise,therewillbemorethanonedefinitionofthesamething:forclearlyhewhodefinesthroughtermsthatarepriorandmoreintelligiblehasalsoframedadefinition,andabetterone,sothatbothwouldthenbedefinitionsofthesameobject。Thissortofview,however,doesnotgenerallyfindacceptance:forofeachrealobjecttheessenceissingle:if,then,therearetobeanumberofdefinitionsofthesamething,theessenceoftheobjectwillbethesameasitisrepresentedtobeineachofthedefinitions,andtheserepresentationsarenotthesame,inasmuchasthedefinitionsaredifferent。Clearly,then,anyonewhohasnotdefinedathingthroughtermsthatarepriorandmoreintelligiblehasnotdefineditatall。
Thestatementthatadefinitionhasnotbeenmadethroughmoreintelligibletermsmaybeunderstoodintwosenses,eithersupposingthatitstermsareabsolutelylessintelligible,orsupposingthattheyarelessintelligibletous:foreithersenseispossible。Thusabsolutelythepriorismoreintelligiblethantheposterior,apoint,forinstance,thanaline,alinethanaplane,andaplanethanasolid;justasalsoaunitismoreintelligiblethananumber;foritisthepriusandstarting—pointofallnumber。Likewise,also,aletterismoreintelligiblethanasyllable。Whereastousitsometimeshappensthattheconverseisthecase:forthesolidfallsunderperceptionmostofall—morethanaplane—andaplanemorethanaline,andalinemorethanapoint;formostpeoplelearnthingsliketheformerearlierthanthelatter;foranyordinaryintelligencecangraspthem,whereastheothersrequireanexactandexceptionalunderstanding。
Absolutely,then,itisbettertotrytomakewhatisposteriorknownthroughwhatisprior,inasmuchassuchawayofprocedureismorescientific。Ofcourse,indealingwithpersonswhocannotrecognizethingsthroughtermsofthatkind,itmayperhapsbenecessarytoframetheexpressionthroughtermsthatareintelligibletothem。Amongdefinitionsofthiskindarethoseofapoint,aline,andaplane,allofwhichexplainthepriorbytheposterior;fortheysaythatapointisthelimitofaline,alineofaplane,aplaneofasolid。Onemust,however,notfailtoobservethatthosewhodefineinthiswaycannotshowtheessentialnatureofthetermtheydefine,unlessitsohappensthatthesamethingismoreintelligiblebothtousandalsoabsolutely,sinceacorrectdefinitionmustdefineathingthroughitsgenusanditsdifferentiae,andthesebelongtotheorderofthingswhichareabsolutelymoreintelligiblethan,andpriorto,thespecies。Forannulthegenusanddifferentia,andthespeciestooisannulled,sothatthesearepriortothespecies。Theyarealsomoreintelligible;forifthespeciesbeknown,thegenusanddifferentiamustofnecessitybeknownaswell(foranyonewhoknowswhatamanisknowsalsowhat’animal’and’walking’are),whereasifthegenusorthedifferentiabeknownitdoesnotfollowofnecessitythatthespeciesisknownaswell:thusthespeciesislessintelligible。Moreover,thosewhosaythatsuchdefinitions,viz。thosewhichproceedfromwhatisintelligibletothis,that,ortheotherman,arereallyandtrulydefinitions,willhavetosaythatthereareseveraldefinitionsofoneandthesamething。For,asithappens,differentthingsaremoreintelligibletodifferentpeople,notthesamethingstoall;andsoadifferentdefinitionwouldhavetoberenderedtoeachseveralperson,ifthedefinitionistobeconstructedfromwhatismoreintelligibletoparticularindividuals。Moreover,tothesamepeopledifferentthingsaremoreintelligibleatdifferenttimes;firstofalltheobjectsofsense;then,astheybecomemoresharpwitted,theconverse;sothatthosewhoholdthatadefinitionoughttoberenderedthroughwhatismoreintelligibletoparticularindividualswouldnothavetorenderthesamedefinitionatalltimeseventothesameperson。Itisclear,then,thattherightwaytodefineisnotthroughtermsofthatkind,butthroughwhatisabsolutelymoreintelligible:foronlyinthiswaycouldthedefinitioncomealwaystobeoneandthesame。Perhaps,also,whatisabsolutelyintelligibleiswhatisintelligible,nottoall,buttothosewhoareinasoundstateofunderstanding,justaswhatisabsolutelyhealthyiswhatishealthytothoseinasoundstateofbody。Allsuchpointsasthisoughttobemadeveryprecise,andmadeuseofinthecourseofdiscussionasoccasionrequires。Thedemolitionofadefinitionwillmostsurelywinageneralapprovalifthedefinerhappenstohaveframedhisexpressionneitherfromwhatisabsolutelymoreintelligiblenoryetfromwhatissotous。
Oneform,then,ofthefailuretoworkthroughmoreintelligibletermsistheexhibitionofthepriorthroughtheposterior,asweremarkedbefore。’Anotherformoccursifwefindthatthedefinitionhasbeenrenderedofwhatisatrestanddefinitethroughwhatisindefiniteandinmotion:forwhatisstillanddefiniteispriortowhatisindefiniteandinmotion。
Ofthefailuretousetermsthatarepriortherearethreeforms:
(1)Thefirstiswhenanoppositehasbeendefinedthroughitsopposite,e。g。i。goodthroughevil:foroppositesarealwayssimultaneousbynature。Somepeoplethink,also,thatbothareobjectsofthesamescience,sothattheoneisnotevenmoreintelligiblethantheother。Onemust,however,observethatitisperhapsnotpossibletodefinesomethingsinanyotherway,e。g。thedoublewithoutthehalf,andallthetermsthatareessentiallyrelative:forinallsuchcasestheessentialbeingisthesameasacertainrelationtosomething,sothatitisimpossibletounderstandtheonetermwithouttheother,andaccordinglyinthedefinitionoftheonetheothertoomustbeembraced。Oneoughttolearnupallsuchpointsasthese,andusethemasoccasionmayseemtorequire。
(2)Anotheris—ifhehasusedthetermdefineditself。Thispassesunobservedwhentheactualnameoftheobjectisnotused,e。g。
supposinganyonehaddefinedthesunasastarthatappearsbyday’。Forinbringingin’day’hebringsinthesun。Todetecterrorsofthissort,exchangethewordforitsdefinition,e。g。thedefinitionof’day’asthe’passageofthesunovertheearth’。
Clearly,whoeverhassaid’thepassageofthesunovertheearth’
hassaid’thesun’,sothatinbringinginthe’day’hehasbroughtinthesun。
(3)Again,seeifhehasdefinedonecoordinatememberofadivisionbyanother,e。g。’anoddnumber’as’thatwhichisgreaterbyonethananevennumber’。Fortheco—ordinatemembersofadivisionthatarederivedfromthesamegenusaresimultaneousbynatureand’odd’and’even’aresuchterms:forbotharedifferentiaeofnumber。
Likewisealso,seeifhehasdefinedasuperiorthroughasubordinateterm,e。g。’An"evennumber"is"anumberdivisibleintohalves"’,or’"thegood"isa"stateofvirtue"’。For’half’isderivedfrom’two’,and’two’isanevennumber:virtuealsoisakindofgood,sothatthelattertermsaresubordinatetotheformer。
Moreover,inusingthesubordinatetermoneisboundtousetheotheraswell:forwhoeveremploystheterm’virtue’employstheterm’good’,seeingthatvirtueisacertainkindofgood:likewise,also,whoeveremploystheterm’half’employstheterm’even’,fortobe’dividedinhalf’meanstobedividedintotwo,andtwoiseven。
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Generallyspeaking,then,onecommonplacerulerelatestothefailuretoframetheexpressionbymeansoftermsthatarepriorandmoreintelligible:andofthisthesubdivisionsarethosespecifiedabove。Asecondis,seewhether,thoughtheobjectisinagenus,ithasnotbeenplacedinagenus。Thissortoferrorisalwaysfoundwheretheessenceoftheobjectdoesnotstandfirstintheexpression,e。g。thedefinitionof’body’as’thatwhichhasthreedimensions’,orthedefinitionof’man’,supposinganyonetogiveit,as’thatwhichknowshowtocount’:foritisnotstatedwhatitisthathasthreedimensions,orwhatitisthatknowshowtocount:
whereasthegenusismeanttoindicatejustthis,andissubmittedfirstofthetermsinthedefinition。
Moreover,seeif,whilethetermtobedefinedisusedinrelationtomanythings,hehasfailedtorenderitinrelationtoallofthem;
as(e。g。)ifhedefine’grammar’asthe’knowledgehowtowritefromdictation’:forheoughtalsotosaythatitisaknowledgehowtoreadaswell。Forinrenderingitas’knowledgeofwriting’hasnomoredefineditthanbyrenderingitas’knowledgeofreading’:
neitherinfacthassucceeded,butonlyhewhomentionsboththesethings,sinceitisimpossiblethatthereshouldbemorethanonedefinitionofthesamething。Itisonly,however,insomecasesthatwhathasbeensaidcorrespondstotheactualstateofthings:
insomeitdoesnot,e。g。allthosetermswhicharenotusedessentiallyinrelationtoboththings:asmedicineissaidtodealwiththeproductionofdiseaseandhealth;foritissaidessentiallytodothelatter,buttheformeronlybyaccident:foritisabsolutelyalientomedicinetoproducedisease。Here,then,themanwhorendersmedicineasrelativetobothofthesethingshasnotdefineditanybetterthanhewhomentionstheoneonly。Infacthehasdoneitperhapsworse,foranyoneelsebesidesthedoctoriscapableofproducingdisease。
Moreover,inacasewherethetermtobedefinedisusedinrelationtoseveralthings,seeifhehasrendereditasrelativetotheworseratherthantothebetter;foreveryformofknowledgeandpotentialityisgenerallythoughttoberelativetothebest。
Again,ifthethinginquestionbenotplacedinitsownpropergenus,onemustexamineitaccordingtotheelementaryrulesinregardtogenera,ashasbeensaidbefore。’
Moreover,seeifheuseslanguagewhichtransgressesthegeneraofthethingshedefines,defining,e。g。justiceasa’statethatproducesequality’or’distributeswhatisequal’:forbydefiningitsohepassesoutsidethesphereofvirtue,andsobyleavingoutthegenusofjusticehefailstoexpressitsessence:fortheessenceofathingmustineachcasebringinitsgenus。Itisthesamethingiftheobjectbenotputintoitsnearestgenus;forthemanwhoputsitintothenearestonehasstatedallthehighergenera,seeingthatallthehighergeneraarepredicatedofthelower。Either,then,itoughttobeputintoitsnearestgenus,orelsetothehighergenusallthedifferentiaeoughttobeappendedwherebythenearestgenusisdefined。Forthenhewouldnothaveleftoutanything:butwouldmerelyhavementionedthesubordinategenusbyanexpressioninsteadofbyname。Ontheotherhand,hewhomentionsmerelythehighergenusbyitself,doesnotstatethesubordinategenusaswell:insaying’plant’amandoesnotspecify’atree’。
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Again,inregardtothedifferentiae,wemustexamineinlikemannerwhetherthedifferentiae,too,thathehasstatedbethoseofthegenus。Forifamanhasnotdefinedtheobjectbythedifferentiaepeculiartoit,orhasmentionedsomethingsuchasisutterlyincapableofbeingadifferentiaofanything,e。g。’animal’or’substance’,clearlyhehasnotdefineditatall:fortheaforesaidtermsdonotdifferentiateanythingatall。Further,wemustseewhetherthedifferentiastatedpossessesanythingthatisco—ordinatewithitinadivision;for,ifnot,clearlytheonestatedcouldnotbeadifferentiaofthegenus。Foragenusisalwaysdividedbydifferentiaethatareco—ordinatemembersofadivision,as,forinstance,bytheterms’walking’,’flying’,’aquatic’,and’biped’。Orseeif,thoughthecontrasteddifferentiaexists,ityetisnottrueofthegenus,forthen,clearly,neitherofthemcouldbeadifferentiaofthegenus;fordifferentiaethatareco—ordinatesinadivisionwiththedifferentiaofathingarealltrueofthegenustowhichthethingbelongs。Likewise,also,seeif,thoughitbetrue,yettheadditionofittothegenusfailstomakeaspecies。Forthen,clearly,thiscouldnotbeaspecificdifferentiaofthegenus:foraspecificdifferentia,ifaddedtothegenus,alwaysmakesaspecies。
If,however,thisbenotruedifferentia,nomoreistheoneadduced,seeingthatitisaco—ordinatememberofadivisionwiththis。
Moreover,seeifhedividesthegenusbyanegation,asthosedowhodefinelineas’lengthwithoutbreadth’:forthismeanssimplythatithasnotanybreadth。Thegenuswillthenbefoundtopartakeofitsownspecies:for,sinceofeverythingeitheranaffirmationoritsnegationistrue,lengthmustalwayseitherlackbreadthorpossessit,sothat’length’aswell,i。e。thegenusof’line’,willbeeitherwithorwithoutbreadth。But’lengthwithoutbreadth’isthedefinitionofaspecies,asalsois’lengthwithbreadth’:for’withoutbreadth’and’withbreadth’aredifferentiae,andthegenusanddifferentiaconstitutethedefinitionofthespecies。Hencethegenuswouldadmitofthedefinitionofitsspecies。Likewise,also,itwilladmitofthedefinitionofthedifferentia,seeingthatoneortheotheroftheaforesaiddifferentiaeisofnecessitypredicatedofthegenus。Theusefulnessofthisprincipleisfoundinmeetingthosewhoasserttheexistenceof’Ideas’:forifabsolutelengthexist,howwillitbepredicableofthegenusthatithasbreadthorthatitlacksit?Foroneassertionortheotherwillhavetobetrueof’length’universally,ifitistobetrueofthegenusatall:
andthisiscontrarytothefact:forthereexistbothlengthswhichhave,andlengthswhichhavenot,breadth。Hencetheonlypeopleagainstwhomtherulecanbeemployedarethosewhoassertthatagenusisalwaysnumericallyone;andthisiswhatisdonebythosewhoasserttherealexistenceofthe’Ideas’;fortheyallegethatabsolutelengthandabsoluteanimalarethegenus。
Itmaybethatinsomecasesthedefinerisobligedtoemployanegationaswell,e。g。indefiningprivations。For’blind’meansathingwhichcannotseewhenitsnatureistosee。Thereisnodifferencebetweendividingthegenusbyanegation,anddividingitbysuchanaffirmationasisboundtohaveanegationasitsco—ordinateinadivision,e。g。supposinghehaddefinedsomethingas’lengthpossessedofbreadth’;forco—ordinateinthedivisionwiththatwhichispossessedofbreadthisthatwhichpossessesnobreadthandthatonly,sothatagainthegenusisdividedbyanegation。
Again,seeifherenderedthespeciesasadifferentia,asdothosewhodefine’contumely’as’insolenceaccompaniedbyjeering’;
forjeeringisakindofinsolence,i。e。itisaspeciesandnotadifferentia。
Moreover,seeifhehasstatedthegenusasthedifferentia,e。g。
’Virtueisagoodornoblestate:for’good’isthegenusof’virtue’。
Orpossibly’good’hereisnotthegenusbutthedifferentia,ontheprinciplethatthesamethingcannotbeintwogeneraofwhichneithercontainstheother:for’good’doesnotinclude’state’,norviceversa:fornoteverystateisgoodnoreverygooda’state’。Both,then,couldnotbegenera,andconsequently,if’state’isthegenusofvirtue,clearly’good’cannotbeitsgenus:itmustratherbethedifferentia’。Moreover,’astate’indicatestheessenceofvirtue,whereas’good’indicatesnottheessencebutaquality:andtoindicateaqualityisgenerallyheldtobethefunctionofthedifferentia。See,further,whetherthedifferentiarenderedindicatesanindividualratherthanaquality:forthegeneralviewisthatthedifferentiaalwaysexpressesaquality。
Lookandsee,further,whetherthedifferentiabelongsonlybyaccidenttotheobjectdefined。Forthedifferentiaisneveranaccidentalattribute,anymorethanthegenusis:forthedifferentiaofathingcannotbothbelongandnotbelongtoit。
Moreover,ifeitherthedifferentiaorthespecies,oranyofthethingswhichareunderthespecies,ispredicableofthegenus,thenhecouldnothavedefinedtheterm。Fornoneoftheaforesaidcanpossiblybepredicatedofthegenus,seeingthatthegenusisthetermwiththewidestrangeofall。Again,seeifthegenusbepredicatedofthedifferentia;forthegeneralviewisthatthegenusispredicated,notofthedifferentia,butoftheobjectsofwhichthedifferentiaispredicated。Animal(e。g。)ispredicatedof’man’or’ox’orotherwalkinganimals,notoftheactualdifferentiaitselfwhichwepredicateofthespecies。Forif’animal’istobepredicatedofeachofitsdifferentiae,then’animal’wouldbepredicatedofthespeciesseveraltimesover;forthedifferentiaearepredicatesofthespecies。Moreover,thedifferentiaewillbealleitherspeciesorindividuals,iftheyareanimals;foreveryanimaliseitheraspeciesoranindividual。
Likewiseyoumustinquirealsoifthespeciesoranyoftheobjectsthatcomeunderitispredicatedofthedifferentia:forthisisimpossible,seeingthatthedifferentiaisatermwithawiderrangethanthevariousspecies。Moreover,ifanyofthespeciesbepredicatedofit,theresultwillbethatthedifferentiaisaspecies:if,forinstance,’man’bepredicated,thedifferentiaisclearlythehumanrace。Again,seeifthedifferentiafailstobepriortothespecies:forthedifferentiaoughttobeposteriortothegenus,butpriortothespecies。
Lookandseealsoifthedifferentiamentionedbelongstoadifferentgenus,neithercontainedinnorcontainingthegenusinquestion。Forthegeneralviewisthatthesamedifferentiacannotbeusedoftwonon—subalterngenera。Elsetheresultwillbethatthesamespeciesaswellwillbeintwonon—subalterngenera:foreachofthedifferentiaeimportsitsowngenus,e。g。’walking’and’biped’importwiththemthegenus’animal’。If,then,eachofthegeneraaswellistrueofthatofwhichthedifferentiaistrue,itclearlyfollowsthatthespeciesmustbeintwonon—subalterngenera。Orperhapsitisnotimpossibleforthesamedifferentiatobeusedoftwonon—subalterngenera,andweoughttoaddthewords’excepttheybothbesubordinatemembersofthesamegenus’。Thus’walkinganimal’and’flyinganimal’arenon—subalterngenera,and’biped’isthedifferentiaofboth。Thewords’excepttheybothbesubordinatemembersofthesamegenus’oughtthereforetobeadded;
forboththesearesubordinateto’animal’。Fromthispossibility,thatthesamedifferentiamaybeusedoftwonon—subalterngenera,itisclearalsothatthereisnonecessityforthedifferentiatocarrywithitthewholeofthegenustowhichitbelongs,butonlytheoneortheotherofitslimbstogetherwiththegenerathatarehigherthanthis,as’biped’carrieswithiteither’flying’or’walkinganimal’。
See,too,ifhehasrendered’existencein’somethingasthedifferentiaofathing’sessence:forthegeneralviewisthatlocalitycannotdifferentiatebetweenoneessenceandanother。
Hence,too,peoplecondemnthosewhodivideanimalsbymeansoftheterms’walking’and’aquatic’,onthegroundthat’walking’and’aquatic’indicatemerelocality。Orpossiblyinthiscasethecensureisundeserved;for’aquatic’doesnotmean’in’anything;nordoesitdenotealocality,butacertainquality:forevenifthethingbeonthedryland,stillitisaquatic:andlikewisealand—animal,eventhoughitbeinthewater,willstillbeaandnotanaquatic—animal。Butallthesame,ifeverthedifferentiadoesdenoteexistenceinsomething,clearlyhewillhavemadeabadmistake。
Again,seeifhehasrenderedanaffectionasthedifferentia:foreveryaffection,ifintensified,subvertstheessenceofthething,whilethedifferentiaisnotofthatkind:forthedifferentiaisgenerallyconsideredrathertopreservethatwhichitdifferentiates;anditisabsolutelyimpossibleforathingtoexistwithoutitsownspecialdifferentia:foriftherebeno’walking’,therewillbeno’man’。Infact,wemaylaydownabsolutelythatathingcannothaveasitsdifferentiaanythinginrespectofwhichitissubjecttoalteration:forallthingsofthatkind,ifintensified,destroyitsessence。If,then,amanhasrenderedanydifferentiaofthiskind,hehasmadeamistake:forweundergoabsolutelynoalterationinrespectofourdifferentiae。
Again,seeifhehasfailedtorenderthedifferentiaofarelativetermrelativelytosomethingelse;forthedifferentiaeofrelativetermsarethemselvesrelative,asinthecasealsoofknowledge。Thisisclassedasspeculative,practicalandproductive;
andeachofthesedenotesarelation:foritspeculatesuponsomething,andproducessomethinganddoessomething。
Lookandseealsoifthedefinerrenderseachrelativetermrelativelytoitsnaturalpurpose:forwhileinsomecasestheparticularrelativetermcanbeusedinrelationtoitsnaturalpurposeonlyandtonothingelse,somecanbeusedinrelationtosomethingelseaswell。Thussightcanonlybeusedforseeing,butastrigilcanalsobeusedtodipupwater。Still,ifanyoneweretodefineastrigilasaninstrumentfordippingwater,hehasmadeamistake:forthatisnotitsnaturalfunction。Thedefinitionofathing’snaturalfunctionis’thatforwhichitwouldbeusedbytheprudentman,actingassuch,andbythesciencethatdealsspeciallywiththatthing’。
Orseeif,wheneveratermhappenstobeusedinanumberofrelations,hehasfailedtointroduceitinitsprimaryrelation:e。g。
bydefining’wisdom’asthevirtueof’man’orofthe’soul,’ratherthanofthe’reasoningfaculty’:for’wisdom’isthevirtueprimarilyofthereasoningfaculty:foritisinvirtueofthisthatboththemanandhissoularesaidtobewise。
Moreover,ifthethingofwhichthetermdefinedhasbeenstatedtobeanaffectionordisposition,orwhateveritmaybe,beunabletoadmitit,thedefinerhasmadeamistake。Foreverydispositionandeveryaffectionisformednaturallyinthatofwhichitisanaffectionordisposition,asknowledge,too,isformedinthesoul,beingadispositionofsoul。Sometimes,however,peoplemakebadmistakesinmattersofthissort,e。g。allthosewhosaythat’sleep’isa’failureofsensation’,orthat’perplexity’isastateof’equalitybetweencontraryreasonings’,orthat’pain’isa’violentdisruptionofpartsthatarenaturallyconjoined’。Forsleepisnotanattributeofsensation,whereasitoughttobe,ifitisafailureofsensation。Likewise,perplexityisnotanattributeofoppositereasonings,norpainofpartsnaturallyconjoined:fortheninanimatethingswillbeinpain,sincepainwillbepresentinthem。Similarincharacter,too,isthedefinitionof’health’,say,asa’balanceofhotandcoldelements’:forthenhealthwillbenecessarilyexhibitedbythehotandcoldelements:forbalanceofanythingisanattributeinherentinthosethingsofwhichitisthebalance,sothathealthwouldbeanattributeofthem。Moreover,peoplewhodefineinthiswayputeffectforcause,orcauseforeffect。Forthedisruptionofpartsnaturallyconjoinedisnotpain,butonlyacauseofpain:noragainisafailureofsensationsleep,buttheoneisthecauseoftheother:foreitherwegotosleepbecausesensationfails,orsensationfailsbecausewegotosleep。
Likewisealsoanequalitybetweencontraryreasoningswouldbegenerallyconsideredtobeacauseofperplexity:foritiswhenwereflectonbothsidesofaquestionandfindeverythingaliketobeinkeepingwitheithercoursethatweareperplexedwhichofthetwowearetodo。
Moreover,withregardtoallperiodsoftimelookandseewhethertherebeanydiscrepancybetweenthedifferentiaandthethingdefined:e。g。supposingthe’immortal’tobedefinedasa’livingthingimmuneatpresentfromdestruction’。Foralivingthingthatisimmune’atpresent’fromdestructionwillbeimmortal’atpresent’。
Possibly,indeed,inthiscasethisresultdoesnotfollow,owingtotheambiguityofthewords’immuneatpresentfromdestruction’:foritmaymeaneitherthatthethinghasnotbeendestroyedatpresent,orthatitcannotbedestroyedatpresent,orthatatpresentitissuchthatitnevercanbedestroyed。Whenever,then,wesaythatalivingthingisatpresentimmunefromdestruction,wemeanthatitisatpresentalivingthingofsuchakindasnevertobedestroyed:andthisisequivalenttosayingthatitisimmortal,sothatitisnotmeantthatitisimmortalonlyatpresent。Still,ifeveritdoeshappenthatwhathasbeenrenderedaccordingtothedefinitionbelongsinthepresentonlyorpast,whereaswhatismeantbytheworddoesnotsobelong,thenthetwocouldnotbethesame。So,then,thiscommonplaceruleoughttobefollowed,aswehavesaid。
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Youshouldlookandseealsowhetherthetermbeingdefinedisappliedinconsiderationofsomethingotherthanthedefinitionrendered。Suppose(e。g。)adefinitionof’justice’asthe’abilitytodistributewhatisequal’。Thiswouldnotberight,for’just’
describesratherthemanwhochooses,thanthemanwhoisabletodistributewhatisequal:sothatjusticecouldnotbeanabilitytodistributewhatisequal:forthenalsothemostjustmanwouldbethemanwiththemostabilitytodistributewhatisequal。
Moreover,seeifthethingadmitsofdegrees,whereaswhatisrenderedaccordingtothedefinitiondoesnot,or,viceversa,whatisrenderedaccordingtothedefinitionadmitsofdegreeswhilethethingdoesnot。Foreitherbothmustadmitthemorelseneither,ifindeedwhatisrenderedaccordingtothedefinitionisthesameasthething。
Moreover,seeif,whilebothofthemadmitofdegrees,theyyetdonotbothbecomegreatertogether:e。g。supposesexuallovetobethedesireforintercourse:forhewhoismoreintenselyinlovehasnotamoreintensedesireforintercourse,sothatbothdonotbecomeintensifiedatonce:theycertainlyshould,however,hadtheybeenthesamething。
Moreover,supposetwothingstobebeforeyou,seeifthetermtobedefinedappliesmoreparticularlytotheonetowhichthecontentofthedefinitionislessapplicable。Take,forinstance,thedefinitionof’fire’asthe’bodythatconsistsofthemostrarefiedparticles’。For’fire’denotesflameratherthanlight,butflameislessthebodythatconsistsofthemostrarefiedparticlesthanislight:whereasbothoughttobemoreapplicabletothesamething,iftheyhadbeenthesame。Again,seeiftheoneexpressionappliesaliketoboththeobjectsbeforeyou,whiletheotherdoesnotapplytobothalike,butmoreparticularlytooneofthem。
Moreover,seeifherendersthedefinitionrelativetotwothingstakenseparately:thus,thebeautiful’is’whatispleasanttotheeyesortotheears":or’thereal’is’whatiscapableofbeingacteduponorofacting’。Forthenthesamethingwillbebothbeautifulandnotbeautiful,andlikewisewillbebothrealandnotreal。For’pleasanttotheears’willbethesameas’beautiful’,sothat’notpleasanttotheears’willbethesameas’notbeautiful’:forofidenticalthingstheopposites,too,areidentical,andtheoppositeof’beautiful’is’notbeautiful’,whileof’pleasanttotheears’theoppositeisnotpleasanttothecars’:clearly,then,’notpleasanttotheears’isthesamethingas’notbeautiful’。If,therefore,somethingbepleasanttotheeyesbutnottotheears,itwillbebothbeautifulandnotbeautiful。Inlikemannerweshallshowalsothatthesamethingisbothrealandunreal。
Moreover,ofbothgeneraanddifferentiaeandalltheothertermsrenderedindefinitionsyoushouldframedefinitionsinlieuoftheterms,andthenseeiftherebeanydiscrepancybetweenthem。
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Ifthetermdefinedberelative,eitherinitselforinrespectofitsgenus,seewhetherthedefinitionfailstomentionthattowhichtheterm,eitherinitselforinrespectofitsgenus,isrelative,e。g。ifhehasdefined’knowledge’asan’incontrovertibleconception’
or’wishing’as’painlessconation’。Forofeverythingrelativetheessenceisrelativetosomethingelse,seeingthatthebeingofeveryrelativetermisidenticalwithbeinginacertainrelationtosomething。Heought,therefore,tohavesaidthatknowledgeis’conceptionofaknowable’andthatwishingis’conationforagood’。Likewise,also,ifhehasdefined’grammar’as’knowledgeofletters’:whereasinthedefinitionthereoughttoberenderedeitherthethingtowhichthetermitselfisrelative,orthat,whateveritis,towhichitsgenusisrelative。Orseeifarelativetermhasbeendescribednotinrelationtoitsend,theendinanythingbeingwhateverisbestinitorgivesitspurposetotherest。Certainlyitiswhatisbestorfinalthatshouldbestated,e。g。thatdesireisnotforthepleasantbutforpleasure:forthisisourpurposeinchoosingwhatispleasantaswell。
Lookandseealsoifthatinrelationtowhichhehasrenderedthetermbeaprocessoranactivity:fornothingofthatkindisanend,forthecompletionoftheactivityorprocessistheendratherthantheprocessoractivityitself。Orperhapsthisruleisnottrueinallcases,foralmosteverybodyprefersthepresentexperienceofpleasuretoitscessation,sothattheywouldcounttheactivityastheendratherthanitscompletion。
Againseeinsomecasesifhehasfailedtodistinguishthequantityorqualityorplaceorotherdifferentiaeofanobject;e。g。thequalityandquantityofthehonourthestrivingforwhichmakesamanambitious:forallmenstriveforhonour,sothatitisnotenoughtodefinetheambitiousmanashimwhostrivesforhonour,buttheaforesaiddifferentiaemustbeadded。Likewise,also,indefiningthecovetousmanthequantityofmoneyheaimsat,orinthecaseoftheincontinentmanthequalityofthepleasures,shouldbestated。
Foritisnotthemanwhogiveswaytoanysortofpleasurewhateverwhoiscalledincontinent,butonlyhewhogiveswaytoacertainkindofpleasure。Oragain,peoplesometimesdefinenightasa’shadowontheearth’,oranearthquakeasamovementoftheearth’,oracloudas’condensationoftheair’,orawindasa’movementoftheair’;
whereastheyoughttospecifyaswellquantity,quality,place,andcause。Likewise,also,inothercasesofthekind:forbyomittinganydifferentiaewhateverhefailstostatetheessenceoftheterm。Oneshouldalwaysattackdeficiency。Foramovementoftheearthdoesnotconstituteanearthquake,noramovementoftheairawind,irrespectiveofitsmannerandtheamountinvolved。
Moreover,inthecaseofconations,andinanyothercaseswhereitapplies,seeiftheword’apparent’isleftout,e。g。’wishingisaconationafterthegood’,or’desireisaconationafterthepleasant’—insteadofsaying’theapparentlygood’,or’pleasant’。
Foroftenthosewhoexhibittheconationdonotperceivewhatisgoodorpleasant,sothattheiraimneednotbereallygoodorpleasant,butonlyapparentlyso。Theyought,therefore,tohaverenderedthedefinitionalsoaccordingly。Ontheotherhand,anyonewhomaintainstheexistenceofIdeasoughttobebroughtfacetofacewithhisIdeas,eventhoughhedoesrenderthewordinquestion:fortherecanbenoIdeaofanythingmerelyapparent:thegeneralviewisthatanIdeaisalwaysspokenofinrelationtoanIdea:thusabsolutedesireisfortheabsolutelypleasant,andabsolutewishingisfortheabsolutelygood;theythereforecannotbeforanapparentgoodoranapparentlypleasant:fortheexistenceofanabsolutely—apparently—goodorpleasantwouldbeanabsurdity。
第5章