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第19章

  ’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。