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Moreover,ifthedefinitionbeofthestateofanything,lookatwhatisinthestate,whileifitbeofwhatisinthestate,lookatthestate:andlikewisealsoinothercasesofthekind。Thusifthepleasantbeidenticalwiththebeneficial,then,too,themanwhoispleasedisbenefited。Speakinggenerally,indefinitionsofthissortithappensthatwhatthedefinerdefinesisinasensemorethanonething:forindefiningknowledge,amaninasensedefinesignoranceaswell,andlikewisealsowhathasknowledgeandwhatlacksit,andwhatitistoknowandtobeignorant。Forifthefirstbemadeclear,theothersbecomeinacertainsenseclearaswell。Wehave,then,tobeonourguardinallsuchcasesagainstdiscrepancy,usingtheelementaryprinciplesdrawnfromconsiderationofcontrariesandofcoordinates。
Moreover,inthecaseofrelativeterms,seeifthespeciesisrenderedasrelativetoaspeciesofthattowhichthegenusisrenderedasrelative,e。g。supposingbelieftoberelativetosomeobjectofbelief,seewhetheraparticularbeliefismaderelativetosomeparticularobjectofbelief:and,ifamultipleberelativetoafraction,seewhetheraparticularmultiplebemaderelativetoaparticularfraction。Forifitbenotsorendered,clearlyamistakehasbeenmade。
See,also,iftheoppositeofthetermhastheoppositedefinition,whether(e。g。)thedefinitionof’half’istheoppositeofthatof’double’:forif’double’is’thatwhichexceedsanotherbyanequalamounttothatother’,’half’is’thatwhichisexceededbyanamountequaltoitself’。Inthesameway,too,withcontraries。Fortothecontrarytermwillapplythedefinitionthatiscontraryinsomeoneofthewaysinwhichcontrariesareconjoined。Thus(e。g。)if’useful’=’productiveofgood’,’injurious’=productiveofevil’or’destructiveofgood’,foroneortheotheroftheeisboundtobecontrarytothetermoriginallyused。Suppose,then,neitherofthesethingstobethecontraryofthetermoriginallyused,thenclearlyneitherofthedefinitionsrenderedlatercouldbethedefinitionofthecontraryofthetermoriginallydefined:andthereforethedefinitionoriginallyrenderedoftheoriginaltermhasnotbeenrightlyrenderedeither。Seeing,moreover,thatofcontraries,theoneissometimesawordforcedtodenotetheprivationoftheother,as(e。g。)inequalityisgenerallyheldtobetheprivationofequality(for’unequal’merelydescribesthingsthatarenotequal’),itisthereforeclearthatthatcontrarywhoseformdenotestheprivationmustofnecessitybedefinedthroughtheother;whereastheothercannotthenbedefinedthroughtheonewhoseformdenotestheprivation;forelseweshouldfindthateachisbeinginterpretedbytheother。Wemustinthecaseofcontrarytermskeepaneyeonthismistake,e。g。supposinganyoneweretodefineequalityasthecontraryofinequality:forthenheisdefiningitthroughthetermwhichdenotesprivationofit。Moreover,amanwhosodefinesisboundtouseinhisdefinitiontheverytermheisdefining;andthisbecomesclear,ifforthewordwesubstituteitsdefinition。Fortosay’inequality’isthesameastosay’privationofequality’。Thereforeequalitysodefinedwillbe’thecontraryoftheprivationofequality’,sothathewouldhaveusedtheverywordtobedefined。Suppose,however,thatneitherofthecontrariesbesoformedastodenoteprivation,butyetthedefinitionofitberenderedinamannerliketheabove,e。g。suppose’good’tobedefinedas’thecontraryofevil’,then,sinceitisclearthat’evil’toowillbe’thecontraryofgood’(forthedefinitionofthingsthatarecontraryinthismustberenderedinalikemanner),theresultagainisthatheusestheverytermbeingdefined:for’good’isinherentinthedefinitionof’evil’。If,then,’good’bethecontraryofevil,andevilbenothingotherthanthe’contraryofgood’,then’good’willbethe’contraryofthecontraryofgood’。Clearly,then,hehasusedtheverywordtobedefined。
Moreover,seeifinrenderingatermformedtodenoteprivation,hehasfailedtorenderthetermofwhichitistheprivation,e。g。