’Part’means1athatintowhichaquantumcaninanywaybe
divided;forthatwhichistakenfromaquantumquaquantumis
alwayscalledapartofit,e。g。twoiscalledinasenseapartof
three。Itmeansb,ofthepartsinthefirstsense,onlythosewhich
measurethewhole;thisiswhytwo,thoughinonesenseitis,in
anotherisnot,calledapartofthree-2Theelementsintowhich
akindmightbedividedapartfromthequantityarealsocalled
partsofit;forwhichreasonwesaythespeciesarepartsofthe
genus-3Theelementsintowhichawholeisdivided,orofwhich
itconsists-the’whole’meaningeithertheformorthatwhichhas
theform;e。g。ofthebronzesphereorofthebronzecubeboththe
bronze-i。e。thematterinwhichtheformis-andthecharacteristic
angleareparts-4Theelementsinthedefinitionwhichexplainsa
thingarealsopartsofthewhole;thisiswhythegenusiscalleda
partofthespecies,thoughinanothersensethespeciesispartof
thegenus。
’Awhole’means1thatfromwhichisabsentnoneofthepartsof
whichitissaidtobenaturallyawhole,and2thatwhichso
containsthethingsitcontainsthattheyformaunity;andthisin
twosenses-eitherasbeingeachseverallyonesinglething,oras
makinguptheunitybetweenthem。Forathatwhichistrueofa
wholeclassandissaidtoholdgoodasawholewhichimpliesthatit
isakindwholeistrueofawholeinthesensethatitcontainsmany
thingsbybeingpredicatedofeach,andbyallofthem,e。g。man,
horse,god,beingseverallyonesinglething,becauseallareliving
things。Butbthecontinuousandlimitedisawhole,whenitisa
unityconsistingofseveralparts,especiallyiftheyarepresentonly
potentially,but,failingthis,eveniftheyarepresentactually。
Ofthesethingsthemselves,thosewhicharesobynaturearewholesin
ahigherdegreethanthosewhicharesobyart,aswesaidinthecase
ofunityalso,wholenessbeinginfactasortofoneness。
Again3ofquantathathaveabeginningandamiddleandanend,
thosetowhichthepositiondoesnotmakeadifferencearecalled
totals,andthosetowhichitdoes,wholes。Thosewhichadmitof
bothdescriptionsarebothwholesandtotals。Thesearethethings
whosenatureremainsthesameaftertransposition,butwhoseformdoes
not,e。g。waxoracoat;theyarecalledbothwholesandtotals;for
theyhavebothcharacteristics。Waterandallliquidsandnumberare
calledtotals,but’thewholenumber’or’thewholewater’onedoes
notspeakof,exceptbyanextensionofmeaning。Tothings,towhich
quaonetheterm’total’isapplied,theterm’all’isappliedwhen
theyaretreatedasseparate;’thistotalnumber,’’alltheseunits。’
Itisnotanychancequantitativethingthatcanbesaidtobe
’mutilated’;itmustbeawholeaswellasdivisible。Fornotonly
istwonot’mutilated’ifoneofthetwoonesistakenawayforthe
partremovedbymutilationisneverequaltotheremainder,butin
generalnonumberisthusmutilated;foritisalsonecessarythatthe
essenceremain;ifacupismutilated,itmuststillbeacup;butthe
numberisnolongerthesame。Further,evenifthingsconsistof
unlikeparts,noteventhesethingscanallbesaidtobemutilated,
forinasenseanumberhasunlikepartse。g。twoandthreeas
wellaslike;butingeneralofthethingstowhichtheirposition
makesnodifference,e。g。waterorfire,nonecanbemutilated;to
bemutilated,thingsmustbesuchasinvirtueoftheiressencehavea
certainposition。Again,theymustbecontinuous;foramusical
scaleconsistsofunlikepartsandhasposition,butcannotbecome
mutilated。Besides,noteventhethingsthatarewholesare
mutilatedbytheprivationofanypart。Forthepartsremovedmust
beneitherthosewhichdeterminetheessencenoranychanceparts,
irrespectiveoftheirposition;e。g。acupisnotmutilatedifitis
boredthrough,butonlyifthehandleoraprojectingpartisremoved,
andamanismutilatednotifthefleshorthespleenisremoved,
butifanextremityis,andthatnoteveryextremitybutonewhich
whencompletelyremovedcannotgrowagain。Thereforebaldnessisnota
mutilation。
Theterm’race’or’genus’isused1ifgenerationofthings
whichhavethesameformiscontinuous,e。g。’whiletheraceofmen
lasts’means’whilethegenerationofthemgoeson
continuously’-2Itisusedwithreferencetothatwhichfirst
broughtthingsintoexistence;foritisthusthatsomearecalled
HellenesbyraceandothersIonians,becausetheformerproceedfrom
HellenandthelatterfromIonastheirfirstbegetter。Andtheword
isusedinreferencetothebegettermorethantothematter,though
peoplealsogetarace-namefromthefemale,e。g。’thedescendants
ofPyrrha’-3Thereisgenusinthesenseinwhich’plane’isthe
genusofplanefiguresandsolid’ofsolids;foreachofthefigures
isintheonecaseaplaneofsuchandsuchakind,andintheothera
solidofsuchandsuchakind;andthisiswhatunderliesthe
differentiae。Again4indefinitionsthefirstconstituent
element,whichisincludedinthe’what’,isthegenus,whose
differentiaethequalitiesaresaidtobe’Genus’thenisusedin
alltheseways,1inreferencetocontinuousgenerationofthe
samekind,2inreferencetothefirstmoverwhichisofthesame
kindasthethingsitmoves,3asmatter;forthattowhichthe
differentiaorqualitybelongsisthesubstratum,whichwecall
matter。
Thosethingsaresaidtobe’otheringenus’whoseproximate
substratumisdifferent,andwhicharenotanalysedtheoneintothe
othernorbothintothesamethinge。g。formandmatteraredifferent
ingenus;andthingswhichbelongtodifferentcategoriesofbeing
forsomeofthethingsthataresaidto’be’signifyessence,
othersaquality,otherstheothercategorieswehavebefore
distinguished;thesealsoarenotanalysedeitherintooneanotheror
intosomeonething。
’Thefalse’means1thatwhichisfalseasathing,andthata
becauseitisnotputtogetherorcannotbeputtogether,e。g。’that
thediagonalofasquareiscommensuratewiththeside’or’thatyou
aresitting’;foroneoftheseisfalsealways,andtheother
sometimes;itisinthesetwosensesthattheyarenon-existent。b
Therearethingswhichexist,butwhosenatureitistoappear
eithernottobesuchastheyareortobethingsthatdonotexist,
e。g。asketchoradream;forthesearesomething,butarenotthe
thingstheappearanceofwhichtheyproduceinus。Wecallthings
falseinthisway,then,-eitherbecausetheythemselvesdonot
exist,orbecausetheappearancewhichresultsfromthemisthatof
somethingthatdoesnotexist。
2Afalseaccountistheaccountofnon-existentobjects,in
sofarasitisfalse。Henceeveryaccountisfalsewhenappliedto
somethingotherthanthatofwhichitistrue;e。g。theaccountofa
circleisfalsewhenappliedtoatriangle。Inasensethereisone
accountofeachthing,i。e。theaccountofitsessence,butinasense
therearemany,sincethethingitselfandthethingitselfwithan
attributeareinasensethesame,e。g。Socratesandmusical
Socratesafalseaccountisnottheaccountofanything,exceptin
aqualifiedsense。HenceAntistheneswastoosimple-mindedwhenhe
claimedthatnothingcouldbedescribedexceptbytheaccountproper
toit,-onepredicatetoonesubject;fromwhichtheconclusionusedto
bedrawnthattherecouldbenocontradiction,andalmostthatthere
couldbenoerror。Butitispossibletodescribeeachthingnot
onlybytheaccountofitself,butalsobythatofsomethingelse。
Thismaybedonealtogetherfalselyindeed,butthereisalsoawayin
whichitmaybedonetruly;e。g。eightmaybedescribedasadouble
numberbytheuseofthedefinitionoftwo。
Thesethings,then,arecalledfalseinthesesenses,but3a
falsemanisonewhoisreadyatandfondofsuchaccounts,notfor
anyotherreasonbutfortheirownsake,andonewhoisgoodat
impressingsuchaccountsonotherpeople,justaswesaythingsare
whichproduceafalseappearance。ThisiswhytheproofintheHippias
thatthesamemanisfalseandtrueismisleading。Foritassumesthat
heisfalsewhocandeceivei。e。themanwhoknowsandiswise;
andfurtherthathewhoiswillinglybadisbetter。Thisisafalse
resultofinduction-foramanwholimpswillinglyisbetterthanone
whodoessounwillingly-by’limping’Platomeans’mimickingalimp’,
forifthemanwerelamewillingly,hewouldpresumablybeworsein
thiscaseasinthecorrespondingcaseofmoralcharacter。
’Accident’means1thatwhichattachestosomethingandcanbe
trulyasserted,butneitherofnecessitynorusually,e。g。ifsomeone
indiggingaholeforaplanthasfoundtreasure。This-thefinding
oftreasure-isforthemanwhodugtheholeanaccident;forneither
doestheonecomeofnecessityfromtheotheroraftertheother,nor,
ifamanplants,doesheusuallyfindtreasure。Andamusicalman
mightbepale;butsincethisdoesnothappenofnecessitynor
usually,wecallitanaccident。Thereforesincethereare
attributesandtheyattachtosubjects,andsomeofthemattachto
theseonlyinaparticularplaceandataparticulartime,whatever
attachestoasubject,butnotbecauseitwasthissubject,orthe
timethistime,ortheplacethisplace,willbeanaccident。
Therefore,too,thereisnodefinitecauseforanaccident,buta
chancecause,i。e。anindefiniteone。GoingtoAeginawasan
accidentforaman,ifhewentnotinordertogetthere,but
becausehewascarriedoutofhiswaybyastormorcapturedby
pirates。Theaccidenthashappenedorexists,-notinvirtueofthe
subject’snature,however,butofsomethingelse;forthestormwas
thecauseofhiscomingtoaplaceforwhichhewasnotsailing,and
thiswasAegina。
’Accident’hasalso2anothermeaning,i。e。allthatattachesto
eachthinginvirtueofitselfbutisnotinitsessence,ashaving
itsanglesequaltotworightanglesattachestothetriangle。And
accidentsofthissortmaybeeternal,butnoaccidentoftheother
sortis。Thisisexplainedelsewhere。
第19章