Moreover,toestablishaview,youshouldlookandseeifthegenusispredicatedinthecategoryofessenceofthosethingsofwhichithasbeenrenderedasthegenus,supposingthespeciesrenderedtobenotonesinglespeciesbutseveraldifferentones:
forthenclearlyitwillbethegenus。If,ontheother,thespeciesrenderedbesingle,lookandseewhetherthegenusbepredicatedinthecategoryofessenceofotherspeciesaswell:forthen,again,theresultwillbethatitispredicatedofseveraldifferentspecies。
Sincesomepeoplethinkthatthedifferentia,too,isapredicateofthevariousspeciesinthecategoryofessence,youshoulddistinguishthegenusfromthedifferentiabyemployingtheaforesaidelementaryprinciples—(a)thatthegenushasawiderdenotationthanthedifferentia;(b)thatinrenderingtheessenceofathingitismorefittingtostatethegenusthanthedifferentia:foranyonewhosaysthat’man’isan’animal’showswhatmanisbetterthanhewhodescribeshimas’walking’;also(c)thatthedifferentiaalwayssignifiesaqualityofthegenus,whereasthegenusdoesnotdothisofthedifferentia:forhewhosays’walking’describesananimalofacertainquality,whereashewhosays’animal’describesananimalofacertainquality,whereashewhosays’animal’doesnotdescribeawalkingthingofacertainquality。
Thedifferentia,then,shouldbedistinguishedfromthegenusinthismanner。Nowseeingitisgenerallyheldthatifwhatismusical,inbeingmusical,possessesknowledgeinsomerespect,thenalso’music’isaparticularkindof’knowledge’;andalsothatifwhatwalksismovedinwalking,then’walking’isaparticularkindof’movement’;youshouldthereforeexamineintheaforesaidmanneranygenusinwhichyouwanttoestablishtheexistenceofsomething;
e。g。ifyouwishtoprovethat’knowledge’isaformof’conviction’,seewhethertheknowerinknowingisconvinced:forthenclearlyknowledgewouldbeaparticularkindofconviction。Youshouldproceedinthesamewayalsoinregardtotheothercasesofthiskind。
Moreover,seeingthatitisdifficulttodistinguishwhateveralwaysfollowsalongwithathing,andisnotconvertiblewithit,fromitsgenus,ifAfollowsBuniversally,whereasBdoesnotfollowA
universally—ase。g。’rest’alwaysfollowsa’calm’and’divisibility’follows’number’,butnotconversely(forthedivisibleisnotalwaysanumber,norrestacalm)—youmayyourselfassumeinyourtreatmentofthemthattheonewhichalwaysfollowsisthegenus,whenevertheotherisnotconvertiblewithit:if,ontheotherhand,someoneelseputsforwardtheproposition,donotacceptituniversally。Anobjectiontoitisthat’not—being’alwaysfollowswhatis’comingtobe’(forwhatiscomingtobeisnot)andisnotconvertiblewithit(forwhatisnotisnotalwayscomingtobe),andthatstill’not—being’isnotthegenusof’comingtobe’:for’not—being’hasnotanyspeciesatall。Questions,then,inregardtoGenusshouldbeinvestigatedinthewaysdescribed。
BookV
1
THEquestionwhethertheattributestatedisorisnotaproperty,shouldbeexaminedbythefollowingmethods:
Any’property’renderedisalwayseitheressentialandpermanentorrelativeandtemporary:e。g。itisan’essentialproperty’ofmantobe’bynatureacivilizedanimal’:a’relativeproperty’isonelikethatofthesoulinrelationtothebody,viz。thattheoneisfittedtocommand,andtheothertoobey:a’permanentproperty’isonelikethepropertywhichbelongstoGod,ofbeingan’immortallivingbeing’:a’temporaryproperty’isonelikethepropertywhichbelongstoanyparticularmanofwalkinginthegymnasium。
[Therenderingofaproperty’relatively’givesriseeithertotwoproblemsortofour。Forifheatthesametimerenderthispropertyofonethinganddenyitofanother,onlytwoproblemsarise,asinthecaseofastatementthatitisapropertyofaman,inrelationtoahorse,tobeabiped。Foronemighttrybothtoshowthatamanisnotabiped,andalsothatahorseisabiped:inbothwaysthepropertywouldbeupset。Ifontheotherhandherenderoneapieceoftwoattributestoeachoftwothings,anddenyitineachcaseoftheother,therewillthenbefourproblems;asinthecaseofastatementthatitisapropertyofamaninrelationtoahorsefortheformertobeabipedandthelatteraquadruped。Forthenitispossibletotrytoshowboththatamanisnotnaturallyabiped,andthatheisaquadruped,andalsothatthehorsebothisabiped,andisnotaquadruped。Ifyoushowanyoftheseatall,theintendedattributeisdemolished。]
An’essential’propertyisonewhichisrenderedofathingincomparisonwitheverythingelseanddistinguishesthesaidthingfromeverythingelse,asdoes’amortallivingbeingcapableofreceivingknowledge’inthecaseofman。A’relative’propertyisonewhichseparatesitssubjectoffnotfromeverythingelsebutonlyfromaparticulardefinitething,asdoesthepropertywhichvirtuepossesses,incomparisonwithknowledge,viz。thattheformerisnaturallyproducedinmorethanonefaculty,whereasthelatterisproducedinthatofreasonalone,andinthosewhohaveareasoningfaculty。A’permanent’propertyisonewhichistrueateverytime,andneverfails,likebeing’compoundedofsoulandbody’,inthecaseofalivingcreature。A’temporary’propertyisonewhichistrueatsomeparticulartime,anddoesnotofnecessityalwaysfollow;as,ofsomeparticularman,thathewalksinthemarket—place。
Torenderaproperty’relatively’tosomethingelsemeanstostatethedifferencebetweenthemasitisfoundeitheruniversallyandalways,orgenerallyandinmostcases:thusadifferencethatisfounduniversallyandalways,isonesuchasmanpossessesincomparisonwithahorse,viz。beingabiped:foramanisalwaysandineverycaseabiped,whereasahorseisneverabipedatanytime。
Ontheotherhand,adifferencethatisfoundgenerallyandinmostcases,isonesuchasthefacultyofreasonpossessesincomparisonwiththatofdesireandspirit,inthattheformercommands,whilethelatterobeys:forthereasoningfacultydoesnotalwayscommand,butsometimesalsoisundercommand,noristhatofdesireandspiritalwaysundercommand,butalsoonoccasionassumesthecommand,wheneverthesoulofamanisvicious。
Of’properties’themost’arguable’aretheessentialandpermanentandtherelative。Forarelativepropertygivesrise,aswesaidbefore,toseveralquestions:forofnecessitythequestionsarisingareeithertwoorfour,orthatargumentsinregardtotheseareseveral。Anessentialandapermanentpropertyyoucandiscussinrelationtomanythings,orcanobserveinrelationtomanyperiodsoftime:ifessential’,discussitincomparisonwithmanythings:forthepropertyoughttobelongtoitssubjectincomparisonwitheverysinglethingthatis,sothatifthesubjectbenotdistinguishedbyitincomparisonwitheverythingelse,thepropertycouldnothavebeenrenderedcorrectly。Soapermanentpropertyyoushouldobserveinrelationtomanyperiodsoftime;forifitdoesnotordidnot,orisnotgoingto,belong,itwillnotbeaproperty。Ontheotherhand,aboutatemporarypropertywedonotinquirefurtherthaninregardtothetimecalled’thepresent’;andsoargumentsinregardtoitarenotmany;whereasanarguable’questionisoneinregardtowhichitispossibleforargumentsbothnumerousandgoodtoarise。
Theso—called’relative’property,then,shouldbeexaminedbymeansofthecommonplaceargumentsrelatingtoAccident,toseewhetheritbelongstotheonethingandnottotheother:ontheotherhand,permanentandessentialpropertiesshouldbeconsideredbythefollowingmethods。
2
First,seewhetherthepropertyhasorhasnotbeenrenderedcorrectly。Ofarenderingbeingincorrectorcorrect,onetestistoseewhetherthetermsinwhichthepropertyisstatedarenotoraremoreintelligible—fordestructivepurposes,whethertheyarenotso,andforconstructivepurposes,whethertheyareso。Ofthetermsnotbeingmoreintelligible,onetestistoseewhetherthepropertywhichherendersisaltogethermoreunintelligiblethanthesubjectwhosepropertyhehasstated:for,ifso,thepropertywillnothavebeenstatedcorrectly。Fortheobjectofgettingapropertyconstitutedistobeintelligible:thetermsthereforeinwhichitisrenderedshouldbemoreintelligible:forinthatcaseitwillbepossibletoconceiveitmoreadequately,e。g。anyonewhohasstatedthatitisapropertyof’fire’to’bearaverycloseresemblancetothesoul’,usestheterm’soul’,whichislessintelligiblethan’fire’—forweknowbetterwhatfireisthanwhatsoulis—,andthereforea’verycloseresemblancetothesoul’couldnotbecorrectlystatedtobeapropertyoffire。AnothertestistoseewhethertheattributionofA(property)toB(subject)failstobemoreintelligible。Fornotonlyshouldthepropertybemoreintelligiblethanitssubject,butalsoitshouldbesomethingwhoseattributiontotheparticularsubjectisamoreintelligibleattribution。Forhewhodoesnotknowwhetheritisanattributeoftheparticularsubjectatall,willnotknoweitherwhetheritbelongstoitalone,sothatwhicheveroftheseresultshappens,itscharacterasapropertybecomesobscure。
Thus(e。g。)amanwhohasstatedthatitisapropertyoffiretobe’theprimaryelementwhereinthesoulisnaturallyfound’,hasintroducedasubjectwhichislessintelligiblethan’fire’,viz。
whetherthesoulisfoundinit,andwhetheritisfoundthereprimarily;andthereforetobe’theprimaryelementinwhichthesoulisnaturallyfound’couldnotbecorrectlystatedtobeapropertyof’fire’。Ontheotherhand,forconstructivepurposes,seewhetherthetermsinwhichthepropertyisstatedaremoreintelligible,andiftheyaremoreintelligibleineachoftheaforesaidways。Forthenthepropertywillhavebeencorrectlystatedinthisrespect:forofconstructivearguments,showingthecorrectnessofarendering,somewillshowthecorrectnessmerelyinthisrespect,whileotherswillshowitwithoutqualification。Thus(e。g。)amanwhohassaidthatthe’possessionofsensation’isapropertyof’animal’hasbothusedmoreintelligibletermsandhasrenderedthepropertymoreintelligibleineachoftheaforesaidsenses;sothatto’possesssensation’wouldinthisrespecthavebeencorrectlyrenderedasapropertyof’animal’。
Next,fordestructivepurposes,seewhetheranyofthetermsrenderedinthepropertyisusedinmorethanonesense,orwhetherthewholeexpressiontoosignifiesmorethanonething。Forthenthepropertywillnothavebeencorrectlystated。Thus(e。g。)seeingthatto’beingnaturalsentient’signifiesmorethanonething,viz。
(1)topossesssensation,(2)touseone’ssensation,beingnaturallysentient’couldnotbeacorrectstatementofapropertyof’animal’。Thereasonwhythetermyouuse,orthewholeexpressionsignifyingtheproperty,shouldnotbearmorethanonemeaningisthis,thatanexpressionbearingmorethanonemeaningmakestheobjectdescribedobscure,becausethemanwhoisabouttoattemptanargumentisindoubtwhichofthevarioussensestheexpressionbears:andthiswillnotdo,fortheobjectofrenderingthepropertyisthathemayunderstand。Moreover,inadditiontothis,itisinevitablethatthosewhorenderapropertyafterthisfashionshouldbesomehowrefutedwheneveranyoneaddresseshissyllogismtothatoneoftheterm’sseveralmeaningswhichdoesnotagree。Forconstructivepurposes,ontheotherhand,seewhetherbothallthetermsandalsotheexpressionasawholeavoidbearingmorethanonesense:forthenthepropertywillhavebeencorrectlystatedinthisrespect。Thus(e。g。)seeingthat’body’doesnotbearseveralmeanings,norquickesttomoveupwardsinspace’,noryetthewholeexpressionmadebyputtingthemtogether,itwouldbecorrectinthisrespecttosaythatitisapropertyoffiretobethe’bodyquickesttomoveupwardsinspace’。
Next,fordestructivepurposes,seeifthetermofwhichherendersthepropertyisusedinmorethanonesense,andnodistinctionhasbeendrawnastowhichofthemitiswhosepropertyheisstating:forthenthepropertywillnothavebeencorrectlyrendered。Thereasonswhythisissoarequiteclearfromwhathasbeensaidabove:forthesameresultsareboundtofollow。Thus(e。g。)
seeingthat’theknowledgeofthis’signifiesmanythingsforitmeans(1)thepossessionofknowledgebyit,(2)theuseofitsknowledgebyit,(3)theexistenceofknowledgeaboutit,(4)theuseofknowledgeaboutit—nopropertyofthe’knowledgeofthis’couldberenderedcorrectlyunlesshedrawadistinctionastowhichoftheseitiswhosepropertyheisrendering。Forconstructivepurposes,amanshouldseeifthetermofwhichheisrenderingthepropertyavoidsbearingmanysensesandisoneandsimple:forthenthepropertywillhavebeencorrectlystatedinthisrespect。Thus(e。g。)seeingthat’man’isusedinasinglesense,’naturallycivilizedanimal’
wouldbecorrectlystatedasapropertyofman。
Next,fordestructivepurposes,seewhetherthesametermhasbeenrepeatedintheproperty。Forpeopleoftendothisundetectedinrendering’properties’also,justastheydointheir’definitions’aswell:butapropertytowhichthishashappenedwillnothavebeencorrectlystated:fortherepetitionofitconfusesthehearer;thusinevitablythemeaningbecomesobscure,andfurther,suchpeoplearethoughttobabble。Repetitionofthesametermislikelytohappenintwoways;oneis,whenamanrepeatedlyusesthesameword,aswouldhappenifanyoneweretorender,asapropertyoffire,’thebodywhichisthemostrarefiedofbodies’(forhehasrepeatedtheword’body’);thesecondis,ifamanreplaceswordsbytheirdefinitions,aswouldhappenifanyoneweretorender,asapropertyofearth,’thesubstancewhichisbyitsnaturemosteasilyofallbodiesbornedownwardsinspace’,andwerethentosubstitute’substancesofsuchandsuchakind’fortheword’bodies’:for’body’
and’asubstanceofsuchandsuchakind’meanoneandthesamething。
Forhewillhaverepeatedtheword’substance’,andaccordinglyneitherofthepropertieswouldbecorrectlystated。Forconstructivepurposes,ontheotherhand,seewhetherheavoidseverrepeatingthesameterm;forthenthepropertywillinthisrespecthavebeencorrectlyrendered。Thus(e。g。)seeingthathewhohasstated’animalcapableofacquiringknowledge’asapropertyofmanhasavoidedrepeatingthesametermseveraltimes,thepropertywouldinthisrespecthavebeencorrectlyrenderedofman。
Next,fordestructivepurposes,seewhetherhehasrenderedinthepropertyanysuchtermasisauniversalattribute。Foronewhichdoesnotdistinguishitssubjectfromotherthingsisuseless,anditisthebusinessofthelanguageOf’properties’,asalsoofthelanguageofdefinitions,todistinguish。Inthecasecontemplated,therefore,thepropertywillnothavebeencorrectlyrendered。Thus(e。g。)amanwhohasstatedthatitisapropertyofknowledgetobea’conceptionincontrovertiblebyargument,becauseofitsunity’,hasusedinthepropertyatermofthatkind,viz。’unity’,whichisauniversalattribute;andthereforethepropertyofknowledgecouldnothavebeencorrectlystated。Forconstructivepurposes,ontheotherhand,seewhetherhehasavoidedalltermsthatarecommontoeverythingandusedatermthatdistinguishesthesubjectfromsomething:forthenthepropertywillinthisrespecthavebeencorrectlystated。Thus(e。g。)inasmuchashewhohassaidthatitisapropertyofa’livingcreature’to’haveasoul’hasusednotermthatiscommontoeverything,itwouldinthisrespecthavebeencorrectlystatedtobeapropertyofa’livingcreature’to’haveasoul’。
Next,fordestructivepurposesseewhetherherendersmorethanonepropertyofthesamething,withoutadefiniteprovisothatheisstatingmorethanone:forthenthepropertywillnothavebeencorrectlystated。Forjustasinthecaseofdefinitionstoothereshouldbenofurtheradditionbesidetheexpressionwhichshowstheessence,sotoointhecaseofpropertiesnothingfurthershouldberenderedbesidetheexpressionthatconstitutesthepropertymentioned:forsuchanadditionismadetonopurpose。Thus(e。g。)amanwhohassaidthatitisapropertyoffiretobe’themostrarefiedandlightestbody’hasrenderedmorethanoneproperty(foreachtermisatruepredicateoffirealone);andsoitcouldnotbeacorrectlystatedpropertyoffiretobe’themostrarefiedandlightestbody’。Ontheotherhand,forconstructivepurposes,seewhetherhehasavoidedrenderingmorethanonepropertyofthesamething,andhasrenderedoneonly:forthenthepropertywillinthisrespecthavebeencorrectlystated。Thus(e。g。)amanwhohassaidthatitisapropertyofaliquidtobea’bodyadaptabletoeveryshape’hasrenderedasitspropertyasinglecharacterandnotseveral,andsothepropertyof’liquid’wouldinthisrespecthavebeencorrectlystated。
3
Next,fordestructivepurposes,seewhetherhehasemployedeithertheactualsubjectwhosepropertyheisrendering,oranyofitsspecies:forthenthepropertywillnothavebeencorrectlystated。
Fortheobjectofrenderingthepropertyisthatpeoplemayunderstand:nowthesubjectitselfisjustasunintelligibleasitwastostartwith,whileanyoneofitsspeciesisposteriortoit,andsoisnomoreintelligible。Accordinglyitisimpossibletounderstandanythingfurtherbytheuseoftheseterms。Thus(e。g。)anyonewhohassaidthatitispropertyof’animal’tobe’thesubstancetowhich"man"belongsasaspecies’hasemployedoneofitsspecies,andthereforethepropertycouldnothavebeencorrectlystated。Forconstructivepurposes,ontheotherhand,seewhetherheavoidsintroducingeitherthesubjectitselforanyofitsspecies:forthenthepropertywillinthisrespecthavebeencorrectlystated。
Thus(e。g。)amanwhohasstatedthatitisapropertyofalivingcreaturetobe’compoundedofsoulandbody’hasavoidedintroducingamongtheresteitherthesubjectitselforanyofitsspecies,andthereforeinthisrespectthepropertyofa’livingcreature’wouldhavebeencorrectlyrendered。
Youshouldinquireinthesamewayalsointhecaseofothertermsthatdoordonotmakethesubjectmoreintelligible:thus,fordestructivepurposes,seewhetherhehasemployedanythingeitheroppositetothesubjector,ingeneral,anythingsimultaneousbynaturewithitorposteriortoit:forthenthepropertywillnothavebeencorrectlystated。Foranoppositeissimultaneousbynaturewithitsopposite,andwhatissimultaneousbynatureorisposteriortoitdoesnotmakeitssubjectmoreintelligible。Thus(e。g。)anyonewhohassaidthatitisapropertyofgoodtobe’themostdirectoppositeofevil’,hasemployedtheoppositeofgood,andsothepropertyofgoodcouldnothavebeencorrectlyrendered。
Forconstructivepurposes,ontheotherhand,seewhetherhehasavoidedemployinganythingeitheroppositeto,or,ingeneral,simultaneousbynaturewiththesubject,orposteriortoit:forthenthepropertywillinthisrespecthavebeencorrectlyrendered。
Thus(e。g。)amanwhohasstatedthatitisapropertyofknowledgetobe’themostconvincingconception’hasavoidedemployinganythingeitheroppositeto,orsimultaneousbynaturewith,orposteriorto,thesubject;andsothepropertyofknowledgewouldinthisrespecthavebeencorrectlystated。
Next,fordestructivepurposes,seewhetherhehasrenderedaspropertysomethingthatdoesnotalwaysfollowthesubjectbutsometimesceasestobeitsproperty:forthenthepropertywillnothavebeencorrectlydescribed。Forthereisnonecessityeitherthatthenameofthesubjectmustalsobetrueofanythingtowhichwefindsuchanattributebelonging;noryetthatthenameofthesubjectwillbeuntrueofanythingtowhichsuchanattributeisfoundnottobelong。Moreover,inadditiontothis,evenafterhehasrenderedthepropertyitwillnotbeclearwhetheritbelongs,seeingthatitisthekindofattributethatmayfall:andsothepropertywillnotbeclear。Thus(e。g。)amanwhohasstatedthatitisapropertyofanimal’sometimestomoveandsometimestostandstill’renderedthekindofpropertywhichsometimesisnotaproperty,andsothepropertycouldnothavebeencorrectlystated。Forconstructivepurposes,ontheotherhand,seewhetherhehasrenderedsomethingthatofnecessitymustalwaysbeaproperty:forthenthepropertywillhavebeeninthisrespectcorrectlystated。Thus(e。g。)amanwhohasstatedthatitisapropertyofvirtuetobe’whatmakesitspossessorgood’hasrenderedaspropertysomethingthatalwaysfollows,andsothepropertyofvirtuewouldinthisrespecthavebeencorrectlyrendered。
Next,fordestructivepurposes,seewhetherinrenderingthepropertyofthepresenttimehehasomittedtomakeadefiniteprovisothatitisthepropertyofthepresenttimewhichheisrendering:forelsethepropertywillnothavebeencorrectlystated。Forinthefirstplace,anyunusualprocedurealwaysneedsadefiniteproviso:
anditistheusualprocedureforeverybodytorenderaspropertysomeattributethatalwaysfollows。Inthesecondplace,amanwhoomitstoprovidedefinitelywhetheritwasthepropertyofthepresenttimewhichheintendedtostate,isobscure:andoneshouldnotgiveanyoccasionforadversecriticism。Thus(e。g。)amanwhohasstateditasthepropertyofaparticularman’tobesittingwithaparticularman’,statesthepropertyofthepresenttime,andsohecannothaverenderedthepropertycorrectly,seeingthathehasdescribeditwithoutanydefiniteproviso。Forconstructivepurposes,ontheotherhand,seewhether,inrenderingthepropertyofthepresenttime,hehas,instatingit,madeadefiniteprovisothatitisthepropertyofthepresenttimethatheisstating:forthenthepropertywillinthisrespecthavebeencorrectlystated。Thus(e。g。)amanwhohassaidthatitisthepropertyofaparticularman’tobewalkingnow’,hasmadethisdistinctioninhisstatement,andsothepropertywouldhavebeencorrectlystated。
Next,fordestructivepurposes,seewhetherhehasrenderedapropertyofthekindwhoseappropriatenessisnotobviousexceptbysensation:forthenthepropertywillnothavebeencorrectlystated。Foreverysensibleattribute,onceitistakenbeyondthesphereofsensation,becomesuncertain。Foritisnotclearwhetheritstillbelongs,becauseitisevidencedonlybysensation。Thisprinciplewillbetrueinthecaseofanyattributesthatdonotalwaysandnecessarilyfollow。Thus(e。g。)anyonewhohasstatedthatitisapropertyofthesuntobe’thebrighteststarthatmovesovertheearth’,hasusedindescribingthepropertyanexpressionofthatkind,viz。’tomoveovertheearth’,whichisevidencedbysensation;andsothesun’spropertycouldnothavebeencorrectlyrendered:foritwillbeuncertain,wheneverthesunsets,whetheritcontinuestomoveovertheearth,becausesensationthenfailsus。Forconstructivepurposes,ontheotherhand,seewhetherhehasrenderedthepropertyofakindthatisnotobvioustosensation,or,ifitbesensible,mustclearlybelongofnecessity:forthenthepropertywillinthisrespecthavebeencorrectlystated。Thus(e。g。)amanwhohasstatedthatitisapropertyofasurfacetobe’theprimarythingthatiscoloured’,hasintroducedamongsttherestasensiblequality,’tobecoloured’,butstillaqualitysuchasmanifestlyalwaysbelongs,andsothepropertyof’surface’wouldinthisrespecthavebeencorrectlyrendered。
Next,fordestructivepurposes,seewhetherhehasrenderedthedefinitionasaproperty:forthenthepropertywillnothavebeencorrectlystated:forthepropertyofathingoughtnottoshowitsessence。Thus(e。g。)amanwhohassaidthatitisthepropertyofmantobe’awalking,bipedanimal’hasrenderedapropertyofmansoastosignifyhisessence,andsothepropertyofmancouldnothavebeencorrectlyrendered。Forconstructivepurposes,ontheotherhand,seewhetherthepropertywhichhehasrenderedformsapredicateconvertiblewithitssubject,without,however,signifyingitsessence:forthenthepropertywillinthisrespecthavebeencorrectlyrendered。Thus(e。g。)hewhohasstatedthatitisapropertyofmantobea’naturallycivilizedanimal’hasrenderedthepropertysoastobeconvertiblewithitssubject,without,however,showingitsessence,andsothepropertyofman’wouldinthisrespecthavebeencorrectlyrendered。
Next,fordestructivepurposes,seewhetherhehasrenderedthepropertywithouthavingplacedthesubjectwithinitsessence。Forofproperties,asalsoofdefinitions,thefirsttermtoberenderedshouldbethegenus,andthentherestofitshouldbeappendedimmediatelyafterwards,andshoulddistinguishitssubjectfromotherthings。Henceapropertywhichisnotstatedinthiswaycouldnothavebeencorrectlyrendered。Thus(e。g。)amanwhohassaidthatitisapropertyofalivingcreatureto’haveasoul’hasnotplaced’livingcreature’withinitsessence,andsothepropertyofalivingcreaturecouldnothavebeencorrectlystated。Forconstructivepurposes,ontheotherhand,seewhetheramanfirstplaceswithinitsessencethesubjectwhosepropertyheisrendering,andthenappendstherest:forthenthepropertywillinthisrespecthavebeencorrectlyrendered。Thus(e。g。)hewhohasstatedthatisapropertyofmantobean’animalcapableofreceivingknowledge’,hasrenderedthepropertyafterplacingthesubjectwithinitsessence,andsothepropertyof’man’wouldinthisrespecthavebeencorrectlyrendered。
4
Theinquiry,then,whetherthepropertyhasbeencorrectlyrenderedorno,shouldbemadebythesemeans。Thequestion,ontheotherhand,whetherwhatisstatedisorisnotapropertyatall,youshouldexaminefromthefollowingpointsofview。Forthecommonplaceargumentswhichestablishabsolutelythatthepropertyisaccuratelystatedwillbethesameasthosethatconstituteitapropertyatall:accordinglytheywillbedescribedinthecourseofthem。
Firstly,then,fordestructivepurposes,takealookateachsubjectofwhichhehasrenderedtheproperty,andsee(e。g。)ifitfailstobelongtoanyofthematall,ortobetrueoftheminthatparticularrespect,ortobeapropertyofeachoftheminrespectofthatcharacterofwhichhehasrenderedtheproperty:forthenwhatisstatedtobeapropertywillnotbeaproperty。Thus,forexample,inasmuchasitisnottrueofthegeometricianthathe’cannotbedeceivedbyanargument’(forageometricianisdeceivedwhenhisfigureismisdrawn),itcouldnotbeapropertyofthemanofsciencethatheisnotdeceivedbyanargument。Forconstructivepurposes,ontheotherhand,seewhetherthepropertyrenderedbetrueofeveryinstance,andtrueinthatparticularrespect:forthenwhatisstatednottobeapropertywillbeaproperty。Thus,forexample,inasmuchasthedescription’ananimalcapableofreceivingknowledge’istrueofeveryman,andtrueofhimquaman,itwouldbeapropertyofmantobe’ananimalcapableofreceivingknowledge’。
commonplacerulemeans—fordestructivepurposes,seeifthedescriptionfailstobetrueofthatofwhichthenameistrue;andifthenamefailstobetrueofthatofwhichthedescriptionistrue:
forconstructivepurposes,ontheotherhand,seeifthedescriptiontooispredicatedofthatofwhichthenameispredicated,andifthenametooispredicatedofthatofwhichthedescriptionispredicated。]
Next,fordestructivepurposes,seeifthedescriptionfailstoapplytothattowhichthenameapplies,andifthenamefailstoapplytothattowhichthedescriptionapplies:forthenwhatisstatedtobeapropertywillnotbeaproperty。Thus(e。g。)inasmuchasthedescription’alivingbeingthatpartakesofknowledge’istrueofGod,while’man’isnotpredicatedofGod,tobealivingbeingthatpartakesofknowledge’couldnotbeapropertyofman。Forconstructivepurposes,ontheotherhand,seeifthenameaswellbepredicatedofthatofwhichthedescriptionispredicated,andifthedescriptionaswellbepredicatedofthatofwhichthenameispredicated。Forthenwhatisstatednottobeapropertywillbeaproperty。Thus(e。g。)thepredicate’livingcreature’istrueofthatofwhich’havingasoul’istrue,and’havingasoul’istrueofthatofwhichthepredicate’livingcreature’istrue;andso’havingasoulwouldbeapropertyof’livingcreature’。
Next,fordestructivepurposes,seeifhehasrenderedasubjectasapropertyofthatwhichisdescribedas’inthesubject’:forthenwhathasbeenstatedtobeapropertywillnotbeaproperty。Thus(e。g。)inasmuchashewhohasrendered’fire’asthepropertyof’thebodywiththemostrarefiedparticles’,hasrenderedthesubjectasthepropertyofitspredicate,’fire’couldnotbeapropertyof’thebodywiththemostrarefiedparticles’。Thereasonwhythesubjectwillnotbeapropertyofthatwhichisfoundinthesubjectisthis,thatthenthesamethingwillbethepropertyofanumberofthingsthatarespecificallydifferent。Forthesamethinghasquiteanumberofspecificallydifferentpredicatesthatbelongtoitalone,andthesubjectwillbeapropertyofallofthese,ifanyonestatesthepropertyinthisway。Forconstructivepurposes,ontheotherhand,seeifhehasrenderedwhatisfoundinthesubjectasapropertyofthesubject:forthenwhathasbeenstatednottobeapropertywillbeaproperty,ifitbepredicatedonlyofthethingsofwhichithasbeenstatedtobetheproperty。Thus(e。g。)hewhohassaidthatitisapropertyof’earth’tobe’specificallytheheaviestbody’hasrenderedofthesubjectasitspropertysomethingthatissaidofthethinginquestionalone,andissaidofitinthemannerinwhichapropertyispredicated,andsothepropertyofearthwouldhavebeenrightlystated。
Next,fordestructivepurposes,seeifhehasrenderedthepropertyaspartakenof:forthenwhatisstatedtobeapropertywillnotbeaproperty。Foranattributeofwhichthesubjectpartakesisaconstituentpartofitsessence:andanattributeofthatkindwouldbeadifferentiaapplyingtosomeonespecies。E。g。inasmuchashewhohassaidthat’walkingontwofeet’ispropertyofmanhasrenderedthepropertyaspartakenof,’walkingontwofeet’couldnotbeapropertyof’man’。Forconstructivepurposes,ontheotherhand,seeifhehasavoidedrenderingthepropertyaspartakenof,orasshowingtheessence,thoughthesubjectispredicatedconvertiblywithit:forthenwhatisstatednottobeapropertywillbeaproperty。Thus(e。g。)hewhohasstatedthattobe’naturallysentient’isapropertyof’animal’hasrenderedthepropertyneitheraspartakenofnorasshowingtheessence,thoughthesubjectispredicatedconvertiblywithit;andsotobe’naturallysentient’wouldbeapropertyof’animal’。
Next,fordestructivepurposes,seeifthepropertycannotpossiblybelongsimultaneously,butmustbelongeitherasposteriororaspriortotheattributedescribedinthename:forthenwhatisstatedtobeapropertywillnotbeapropertyeithernever,ornotalways。Thus(e。g。)inasmuchasitispossiblefortheattribute’walkingthroughthemarket—place’tobelongtoanobjectaspriorandasposteriortotheattribute’man’,’walkingthroughthemarket—place’couldnotbeapropertyof’man’eithernever,ornotalways。Forconstructivepurposes,ontheotherhand,seeifitalwaysandofnecessitybelongssimultaneously,withoutbeingeitheradefinitionoradifferentia:forthenwhatisstatednottobeapropertywillbeaproperty。Thus(e。g。)theattribute’ananimalcapableofreceivingknowledge’alwaysandofnecessitybelongssimultaneouslywiththeattribute’man’,andisneitherdifferentianordefinitionofitssubject,andso’ananimalcapableofreceivingknowledge’wouldbeapropertyof’man’。
Next,fordestructivepurposes,seeifthesamethingfailstobeapropertyofthingsthatarethesameasthesubject,sofarastheyarethesame:forthenwhatisstatedtobeapropertywillnotbeaproperty。Thus,forexample,inasmuchasitisnopropertyofa’properobjectofpursuit’to’appeargoodtocertainpersons’,itcouldnotbeapropertyofthe’desirable’eitherto’appeargoodtocertainpersons’:for’properobjectofpursuit’and’desirable’
meanthesame。Forconstructivepurposes,ontheotherhand,seeifthesamethingbeapropertyofsomethingthatisthesameasthesubject,insofarasitisthesame。Forthenisstatednottobeapropertywillbeaproperty。Thus(e。g。)inasmuchasitiscalledapropertyofaman,insofarasheisaman,’tohaveatripartitesoul’,itwouldalsobeapropertyofamortal,insofarasheisamortal,tohaveatripartitesoul。ThiscommonplaceruleisusefulalsoindealingwithAccident:forthesameattributesoughteithertobelongornotbelongtothesamethings,insofarastheyarethesame。
Next,fordestructivepurposes,seeifthepropertyofthingsthatarethesameinkindasthesubjectfailstobealwaysthesameinkindastheallegedproperty:forthenneitherwillwhatisstatedtobethepropertyofthesubjectinquestion。Thus(e。g。)inasmuchasamanandahorsearethesameinkind,anditisnotalwaysapropertyofahorsetostandbyitsowninitiative,itcouldnotbeapropertyofamantomovebyhisowninitiative;fortostandandtomovebyhisowninitiativearethesameinkind,becausetheybelongtoeachoftheminsofaraseachisan’animal’。Forconstructivepurposes,ontheotherhand,seeifofthingsthatarethesameinkindasthesubjectthepropertythatisthesameastheallegedpropertyisalwaystrue:forthenwhatisstatednottobeapropertywillbeaproperty。Thus(e。g。)sinceitisapropertyofmantobea’walkingbiped,’itwouldalsobeapropertyofabirdtobea’flyingbiped’:foreachoftheseisthesameinkind,insofarastheonepairhavethesamenessofspeciesthatfallunderthesamegenus,beingunderthegenus’animal’,whiletheotherpairhavethatofdifferentiaeofthegenus,viz。of’animal’。Thiscommonplaceruleisdeceptivewheneveroneofthepropertiesmentionedbelongstosomeonespeciesonlywhiletheotherbelongstomany,asdoes’walkingquadruped’。
Inasmuchas’same’and’different’aretermsusedinseveralsenses,itisajobtorendertoasophisticalquestionerapropertythatbelongstoonethingandthatonly。Foranattributethatbelongstosomethingqualifiedbyanaccidentwillalsobelongtotheaccidenttakenalongwiththesubjectwhichitqualifies;e。g。anattributethatbelongsto’man’willbelongalsoto’whiteman’,iftherebeawhiteman,andonethatbelongsto’whiteman’willbelongalsoto’man’。Onemight,then,bringcaptiouscriticismagainstthemajorityofproperties,byrepresentingthesubjectasbeingonethinginitself,andanotherthingwhencombinedwithitsaccident,saying,forexample,that’man’isonething,andwhiteman’
another,andmoreoverbyrepresentingasdifferentacertainstateandwhatiscalledafterthatstate。Foranattributethatbelongstothestatewillbelongalsotowhatiscalledafterthatstate,andonethatbelongstowhatiscalledafterastatewillbelongalsotothestate:e。g。inasmuchastheconditionofthescientistiscalledafterhisscience,itcouldnotbeapropertyof’science’thatitis’incontrovertiblebyargument’;forthenthescientistalsowillbeincontrovertiblebyargument。Forconstructivepurposes,however,youshouldsaythatthesubjectofanaccidentisnotabsolutelydifferentfromtheaccidenttakenalongwithitssubject;thoughitiscalled’another’thingbecausethemodeofbeingofthetwoisdifferent:foritisnotthesamethingforamantobeamanandforawhitemantobeawhiteman。Moreover,youshouldtakealookalongattheinflections,andsaythatthedescriptionofthemanofscienceiswrong:oneshouldsaynot’it’but’heisincontrovertiblebyargument’;whilethedescriptionofScienceiswrongtoo:oneshouldsaynot’it’but’sheisincontrovertiblebyargument’。Foragainstanobjectorwhosticksatnothingthedefenceshouldstickatnothing。
5
Next,fordestructivepurposes,seeif,whileintendingtorenderanattributethatnaturallybelongs,hestatesitinhislanguageinsuchawayastoindicateonethatinvariablybelongs:forthenitwouldbegenerallyagreedthatwhathasbeenstatedtobeapropertyisupset。Thus(e。g。)themanwhohassaidthat’biped’isapropertyofmanintendstorendertheattributethatnaturallybelongs,buthisexpressionactuallyindicatesonethatinvariablybelongs:
accordingly,’biped’couldnotbeapropertyofman:fornoteverymanispossessedoftwofeet。Forconstructivepurposes,ontheotherhand,seeifheintendstorenderthepropertythatnaturallybelongs,andindicatesitinthatwayinhislanguage:forthenthepropertywillnotbeupsetinthisrespect。Thus(e。g。)hewhorendersasapropertyof’man’thephrase’ananimalcapableofreceivingknowledge’bothintends,andbyhislanguageindicates,thepropertythatbelongsbynature,andso’ananimalcapableofreceivingknowledge’wouldnotbeupsetorshowninthatrespectnottobeapropertyofman。
Moreover,asregardsallthethingsthatarecalledastheyareprimarilyaftersomethingelse,orprimarilyinthemselves,itisajobtorenderthepropertyofsuchthings。Forifyourenderapropertyasbelongingtothesubjectthatissocalledaftersomethingelse,thenitwillbetrueofitsprimarysubjectaswell;whereasifyoustateitofitsprimarysubject,thenitwillbepredicatedalsoofthethingthatissocalledafterthisother。Thus(e。g。)ifanyonerenders,coloured’asthepropertyof’surface’,’coloured’
willbetrueofbodyaswell;whereasifherenderitof’body’,itwillbepredicatedalsoof’surface’。Hencethenameaswellwillnotbetrueofthatofwhichthedescriptionistrue。
Inthecaseofsomepropertiesitmostlyhappensthatsomeerrorisincurredbecauseofafailuretodefinehowaswellastowhatthingsthepropertyisstatedtobelong。Foreveryonetriestorenderasthepropertyofathingsomethingthatbelongstoiteithernaturally,as’biped’belongsto’man’,oractually,as’havingfourfingers’belongstoaparticularman,orspecifically,as’consistingofmostrarefiedparticles’belongsto’fire’,orabsolutely,as’life’to’livingbeing’,oronethatbelongstoathingonlyascalledaftersomethingelse,as’wisdom’tothe’soul’,orontheotherhandprimarily,as’wisdom’tothe’rationalfaculty’,orbecausethethingisinacertainstate,as’incontrovertiblebyargument’belongstoa’scientist’(forsimplyandsolelybyreasonofhisbeinginacertainstatewillhebe’incontrovertiblebyargument’),orbecauseitisthestatepossessedbysomething,as’incontrovertiblebyargument’belongsto’science’,orbecauseitispartakenof,as’sensation’belongsto’animal’(forotherthingsaswellhavesensation,e。g。man,buttheyhaveitbecausetheyalreadypartakeof’animal’),orbecauseitpartakesofsomethingelse,as’life’belongstoaparticularkindof’livingbeing’。Accordinglyhemakesamistakeifhehasfailedtoaddtheword’naturally’,becausewhatbelongsnaturallymayfailtobelongtothethingtowhichitnaturallybelongs,as(e。g。)
itbelongstoamantohavetwofeet:sotooheerrsifhedoesnotmakeadefiniteprovisothatheisrenderingwhatactuallybelongs,becauseonedaythatattributewillnotbewhatitnowis,e。g。theman’spossessionoffourfingers。Soheerrsifhehasnotshownthathestatesathingtobesuchandsuchprimarily,orthathecallsitsoaftersomethingelse,becausethenitsnametoowillnotbetrueofthatofwhichthedescriptionistrue,asisthecasewith’coloured’,whetherrenderedasapropertyof’surface’orof’body’。Soheerrsifhehasnotsaidbeforehandthathehasrenderedapropertytoathingeitherbecausethatthingpossessesastate,orbecauseitisastatepossessedbysomething;becausethenitwillnotbeaproperty。For,supposingherendersthepropertytosomethingasbeingastatepossessed,itwillbelongtowhatpossessesthatstate;whilesupposingherendersittowhatpossessesthestate,itwillbelongtothestatepossessed,asdid’incontrovertiblebyargument’whenstatedasapropertyof’science’orofthe’scientist’。Soheerrsifhehasnotindicatedbeforehandthatthepropertybelongsbecausethethingpartakesof,orispartakenofby,something;becausethenthepropertywillbelongtocertainotherthingsaswell。Forifherendersitbecauseitssubjectispartakenof,itwillbelongtothethingswhichpartakeofit;whereasifherendersitbecauseitssubjectpartakesofsomethingelse,itwillbelongtothethingspartakenof,as(e。g。)ifheweretostate’life’tobeapropertyofa’particularkindoflivingbeing’,orjustof’livingbeing。Soheerrsifhehasnotexpresslydistinguishedthepropertythatbelongsspecifically,becausethenitwillbelongonlytooneofthethingsthatfallunderthetermofwhichhestatestheproperty:forthesuperlativebelongsonlytooneofthem,e。g。’lightest’asappliedto’fire’。Sometimes,too,amanmayevenaddtheword’specifically’,andstillmakeamistake。
Forthethingsinquestionshouldallbeofonespecies,whenevertheword’specifically’isadded:andinsomecasesthisdoesnotoccur,asitdoesnot,infact,inthecaseoffire。Forfireisnotallofonespecies;forlivecoalsandflameandlightareeachofthem’fire’,butareofdifferentspecies。Thereasonwhy,whenever’specifically’isadded,thereshouldnotbeanyspeciesotherthantheonementioned,isthis,thatiftherebe,thenthepropertyinquestionwillbelongtosomeoftheminagreaterandtoothersinalessdegree,ashappenswith’consistingofmostrarefiedparticles’
inthecaseoffire:for’light’consistsofmorerarefiedparticlesthanlivecoalsandflame。Andthisshouldnothappenunlessthenametoobepredicatedinagreaterdegreeofthatofwhichthedescriptionistruer;otherwisetherulethatwherethedescriptionistruerthenametooshouldbetruerisnotfulfilled。Moreover,inadditiontothis,thesameattributewillbethepropertybothofthetermwhichhasitabsolutelyandofthatelementthereinwhichhasitinthehighestdegree,asistheconditionoftheproperty’consistingofmostrarefiedparticles’inthecaseof’fire’:forthissameattributewillbethepropertyof’light’aswell:foritis’light’that’consistsofthemostrarefiedparticles’。If,then,anyoneelserendersapropertyinthiswayoneshouldattackit;
foroneself,oneshouldnotgiveoccasionforthisobjection,butshoulddefineinwhatmanneronestatesthepropertyattheactualtimeofmakingthestatement。
Next,fordestructivepurposes,seeifhehasstatedathingasapropertyofitself:forthenwhathasbeenstatedtobeapropertywillnotbeaproperty。Forathingitselfalwaysshowsitsownessence,andwhatshowstheessenceisnotapropertybutadefinition。Thus(e。g。)hewhohassaidthat’becoming’isapropertyof’beautiful’hasrenderedthetermasapropertyofitself(for’beautiful’and’becoming’arethesame);andso’becoming’couldnotbeapropertyof’beautiful’。Forconstructivepurposes,ontheotherhand,seeifhehasavoidedrenderingathingasapropertyofitself,buthasyetstatedaconvertiblepredicate:
forthenwhatisstatednottobeapropertywillbeaproperty。
Thushewhohasstated’animatesubstance’asapropertyof’living—creature’hasnotstated’living—creature’asapropertyofitself,buthasrenderedaconvertiblepredicate,sothat’animatesubstance’wouldbeapropertyof’living—creature’。
Next,inthecaseofthingsconsistingoflikeparts,youshouldlookandsee,fordestructivepurposes,ifthepropertyofthewholebenottrueofthepart,orifthatofthepartbenotpredicatedofthewhole:forthenwhathasbeenstatedtobethepropertywillnotbeaproperty。Insomecasesithappensthatthisisso:forsometimesinrenderingapropertyinthecaseofthingsthatconsistoflikepartsamanmayhavehiseyeonthewhole,whilesometimeshemayaddresshimselftowhatispredicatedofthepart:andtheninneithercasewillithavebeenrightlyrendered。Takeaninstancereferringtothewhole:themanwhohassaidthatitisapropertyofthe’sea’
tobe’thelargestvolumeofsaltwater’,hasstatedthepropertyofsomethingthatconsistsoflikeparts,buthasrenderedanattributeofsuchakindasisnottrueofthepart(foraparticularseaisnot’thelargestvolumeofsaltwater’);andsothelargestvolumeofsaltwater’couldnotbeapropertyofthe’sea’。Nowtakeonereferringtothepart:themanwhohasstatedthatitisapropertyof’air’tobe’breathable’hasstatedthepropertyofsomethingthatconsistsoflikeparts,buthehasstatedanattributesuchas,thoughtrueofsomeair,isstillnotpredicableofthewhole(forthewholeoftheairisnotbreathable);andso’breathable’couldnotbeapropertyof’air’。Forconstructivepurposes,ontheotherhand,seewhether,whileitistrueofeachofthethingswithsimilarparts,itisontheotherhandapropertyofthemtakenasacollectivewhole:
forthenwhathasbeenstatednottobeapropertywillbeaproperty。
Thus(e。g。)whileitistrueofeartheverywherethatitnaturallyfallsdownwards,itisapropertyofthevariousparticularpiecesofearthtakenas’theEarth’,sothatitwouldbeapropertyof’earth’’naturallytofalldownwards’。
6
Next,lookfromthepointofviewoftherespectiveopposites,andfirst(a)fromthatofthecontraries,andsee,fordestructivepurposes,ifthecontraryofthetermrenderedfailstobeapropertyofthecontrarysubject。Forthenneitherwillthecontraryofthefirstbeapropertyofthecontraryofthesecond。Thus(e。g。)inasmuchasinjusticeiscontrarytojustice,andthelowesteviltothehighestgood,but’tobethehighestgood’isnotapropertyof’justice’,therefore’tobethelowestevil’couldnotbeapropertyof’injustice’。Forconstructivepurposes,ontheotherhand,seeifthecontraryisthepropertyofthecontrary:forthenalsothecontraryofthefirstwillbethepropertyofthecontraryofthesecond。Thus(e。g。)inasmuchaseviliscontrarytogood,andobjectionabletodesirable,and’desirable’isapropertyof’good’,’objectionable’wouldbeapropertyof’evil’。
Secondly(h)lookfromthepointofviewofrelativeoppositesandsee,fordestructivepurposes,ifthecorrelativeofthetermrenderedfailstobeapropertyofthecorrelativeofthesubject:forthenneitherwillthecorrelativeofthefirstbeapropertyofthecorrelativeofthesecond。Thus(e。g。)inasmuchas’double’isrelativeto’half’,and’inexcess’to’exceeded’,while’inexcess’
isnotapropertyof’double’,exceeded’couldnotbeapropertyof’half’。Forconstructivepurposes,ontheotherhand,seeifthecorrelativeoftheallegedpropertyisapropertyofthesubject’scorrelative:forthenalsothecorrelativeofthefirstwillbeapropertyofthecorrelativeofthesecond:e。g。inasmuchas’double’
isrelativeto’half’,andtheproportion1:2isrelativetotheproportion2:1,whileitisapropertyof’double’tobe’intheproportionof2to1’,itwouldbeapropertyof’half’tobe’intheproportionof1to2’。
Thirdly(c)fordestructivepurposes,seeifanattributedescribedintermsofastate(X)failstobeapropertyofthegivenstate(Y):forthenneitherwilltheattributedescribedintermsoftheprivation(ofX)beapropertyoftheprivation(ofY)。
Alsoif,ontheotherhand,anattributedescribedintermsoftheprivation(ofX)benotapropertyofthegivenprivation(ofY),neitherwilltheattributedescribedintermsofthestate(X)beapropertyofthestate(Y)。Thus,forexample,inasmuchasitisnotpredicatedasapropertyof’deafness’tobea’lackofsensation’,neithercoulditbeapropertyof’hearing’tobea’sensation’。Forconstructivepurposes,ontheotherhand,seeifanattributedescribedintermsofastate(X)isapropertyofthegivenstate(Y):forthenalsotheattributethatisdescribedintermsoftheprivation(ofX)willbeapropertyoftheprivation(ofY)。Also,ifanattributedescribedintermsofaprivation(ofX)beapropertyoftheprivation(ofY),thenalsotheattributethatisdescribedintermsofthestate(X)willbeapropertyofthestate(Y)。Thus(e。g。)inasmuchas’tosee’isapropertyof’sight’,inasmuchaswehavesight,’failuretosee’wouldbeapropertyof’blindness’,inasmuchaswehavenotgotthesightweshouldnaturallyhave。
Next,lookfromthepointofviewofpositiveandnegativeterms;
andfirst(a)fromthepointofviewofthepredicatestakenbythemselves。Thiscommon—placeruleisusefulonlyforadestructivepurpose。Thus(e。g。)seeifthepositivetermortheattributedescribedintermsofitisapropertyofthesubject:forthenthenegativetermortheattributedescribedintermsofitwillnotbeapropertyofthesubject。Alsoif,ontheotherhand,thenegativetermortheattributedescribedintermsofitisapropertyofthesubject,thenthepositivetermortheattributedescribedintermsofitwillnotbeapropertyofthesubject:e。g。inasmuchas’animate’
isapropertyof’livingcreature’,’inanimate’couldnotbeapropertyof’livingcreature’。
Secondly(b)lookfromthepointofviewofthepredicates,positiveornegative,andtheirrespectivesubjects;andsee,fordestructivepurposes,ifthepositivetermfallstobeapropertyofthepositivesubject:forthenneitherwillthenegativetermbeapropertyofthenegativesubject。Also,ifthenegativetermfailstobeapropertyofthenegativesubject,neitherwillthepositivetermbeapropertyofthepositivesubject。Thus(e。g。)inasmuchas’animal’isnotapropertyof’man’,neithercould’not—animal’beapropertyof’not—man’。Alsoif’not—animal’seemsnottobeapropertyof’not—man’,neitherwill’animal’beapropertyof’man’。Forconstructivepurposes,ontheotherhand,seeifthepositivetermisapropertyofthepositivesubject:forthenthenegativetermwillbeapropertyofthenegativesubjectaswell。Alsoifthenegativetermbeapropertyofthenegativesubject,thepositivewillbeapropertyofthepositiveaswell。Thus(e。g。)inasmuchasitisapropertyof’not—livingbeing’’nottolive’,itwouldbeapropertyof’livingbeing’’tolive’:alsoifitseemstobeapropertyof’livingbeing’’tolive’,itwillalsoseemtobeapropertyof’not—livingbeing’’nottolive’。
Thirdly(c)lookfromthepointofviewofthesubjectstakenbythemselves,andsee,fordestructivepurposes,ifthepropertyrenderedisapropertyofthepositivesubject:forthenthesametermwillnotbeapropertyofthenegativesubjectaswell。Also,ifthetermrenderedbeapropertyofthenegativesubject,itwillnotbeapropertyofthepositive。Thus(e。g。)inasmuchas’animate’isapropertyof’livingcreature’,’animate’couldnotbeapropertyof’not—livingcreature’。Forconstructivepurposes,ontheotherhand,ifthetermrenderedfailstobeapropertyoftheaffirmativesubjectitwouldbeapropertyofthenegative。Thiscommonplaceruleis,however,deceptive:forapositivetermisnotapropertyofanegative,oranegativeofapositive。Forapositivetermdoesnotbelongatalltoanegative,whileanegativeterm,thoughitbelongstoapositive,doesnotbelongasaproperty。
Next,lookfromthepointofviewofthecoordinatemembersofadivision,andsee,fordestructivepurposes,ifnoneoftheco—ordinatemembers(parallelwiththepropertyrendered)beapropertyofanyoftheremainingsetofco—ordinatemembers(parallelwiththesubject):forthenneitherwillthetermstatedbeapropertyofthatofwhichitisstatedtobeaproperty。Thus(e。g。)inasmuchas’sensiblelivingbeing’isnotapropertyofanyoftheotherlivingbeings,’intelligiblelivingbeing’couldnotbeapropertyofGod。Forconstructivepurposes,ontheotherhand,seeifsomeoneorotheroftheremainingco—ordinatemembers(parallelwiththepropertyrendered)beapropertyofeachoftheseco—ordinatemembers(parallelwiththesubject):forthentheremainingonetoowillbeapropertyofthatofwhichithasbeenstatednottobeaproperty。Thus(e。g。)inasmuchasitisapropertyof’wisdom’tobeessentially’thenaturalvirtueoftherationalfaculty’,then,takingeachoftheothervirtuesaswellinthisway,itwouldbeapropertyof’temperance’tobeessentially’thenaturalvirtueofthefacultyofdesire’。
Next,lookfromthepointofviewoftheinflexions,andsee,fordestructivepurposes,iftheinflexionofthepropertyrenderedfailstobeapropertyoftheinflexionofthesubject:forthenneitherwilltheotherinflexionbeapropertyoftheotherinflexion。
Thus(e。g。)inasmuchas’beautifully’isnotapropertyof’justly’,neithercould’beautiful’beapropertyof’just’。Forconstructivepurposes,ontheotherhand,seeiftheinflexionofthepropertyrenderedisapropertyoftheinflexionofthesubject:forthenalsotheotherinflexionwillbeapropertyoftheotherinflexion。
Thus(e。g。)inasmuchas’walkingbiped’isapropertyofman,itwouldalsobeanyone’sproperty’asaman’tobedescribed’asawalkingbiped’。Notonlyinthecaseoftheactualtermmentionedshouldonelookattheinflexions,butalsointhecaseofitsopposites,justashasbeenlaiddowninthecaseoftheformercommonplacerulesaswell。’Thus,fordestructivepurposes,seeiftheinflexionoftheoppositeofthepropertyrenderedfailstobethepropertyoftheinflexionoftheoppositeofthesubject:forthenneitherwilltheinflexionoftheotheroppositebeapropertyoftheinflexionoftheotheropposite。Thus(e。g。)inasmuchas’well’isnotapropertyof’justly’,neithercould’badly’beapropertyof’unjustly’。Forconstructivepurposes,ontheotherhand,seeiftheinflexionoftheoppositeofthepropertyoriginallysuggestedisapropertyoftheinflexionoftheoppositeoftheoriginalsubject:forthenalsotheinflexionoftheotheroppositewillbeapropertyoftheinflexionoftheotheropposite。Thus(e。g。)inasmuchas’best’isapropertyof’thegood’,’worst’alsowillbeapropertyof’theevil’。
7
Next,lookfromthepointofviewofthingsthatareinalikerelation,andsee,fordestructivepurposes,ifwhatisinarelationlikethatofthepropertyrenderedfailstobeapropertyofwhatisinarelationlikethatofthesubject:forthenneitherwillwhatisinarelationlikethatofthefirstbeapropertyofwhatisinarelationlikethatofthesecond。Thus(e。g。)inasmuchastherelationofthebuildertowardstheproductionofahouseislikethatofthedoctortowardstheproductionofhealth,anditisnotapropertyofadoctortoproducehealth,itcouldnotbeapropertyofabuildertoproduceahouse。Forconstructivepurposes,ontheotherhand,seeifwhatisinarelationlikethatofthepropertyrenderedisapropertyofwhatisinarelationlikethatofthesubject:forthenalsowhatisinarelationlikethatofthefirstwillbeapropertyofwhatisinarelationlikethatofthesecond。Thus(e。g。)inasmuchastherelationofadoctortowardsthepossessionofabilitytoproducehealthislikethatofatrainertowardsthepossessionofabilitytoproducevigour,anditisapropertyofatrainertopossesstheabilitytoproducevigour,itwouldbeapropertyofadoctortopossesstheabilitytoproducehealth。
Nextlookfromthepointofviewofthingsthatareidenticallyrelated,andsee,fordestructivepurposes,ifthepredicatethatisidenticallyrelatedtowardstwosubjectsfailstobeapropertyofthesubjectwhichisidenticallyrelatedtoitasthesubjectinquestion;
forthenneitherwillthepredicatethatisidenticallyrelatedtobothsubjectsbeapropertyofthesubjectwhichisidenticallyrelatedtoitasthefirst。If,ontheotherhand,thepredicatewhichisidenticallyrelatedtotwosubjectsisthepropertyofthesubjectwhichisidenticallyrelatedtoitasthesubjectinquestion,thenitwillnotbeapropertyofthatofwhichithasbeenstatedtobeaproperty。(e。g。)inasmuchasprudenceisidenticallyrelatedtoboththenobleandthebase,sinceitisknowledgeofeachofthem,anditisnotapropertyofprudencetobeknowledgeofthenoble,itcouldnotbeapropertyofprudencetobeknowledgeofthebase。