Fromthesefactswemaysufficientlyperceivethemeaningofthe
  ancientswhosaidtheelementsofnatureweremorethanone;butthere
  aresomewhospokeoftheuniverseasifitwereoneentity,though
  theywerenotallalikeeitherintheexcellenceoftheirstatementor
  initsconformitytothefactsofnature。Thediscussionofthemisin
  nowayappropriatetoourpresentinvestigationofcauses,for。they
  donot,likesomeofthenaturalphilosophers,assumebeingtobe
  oneandyetgenerateitoutoftheoneasoutofmatter,butthey
  speakinanotherway;thoseothersaddchange,sincetheygeneratethe
  universe,butthesethinkerssaytheuniverseisunchangeable。Yet
  thismuchisgermanetothepresentinquiry:Parmenidesseemsto
  fastenonthatwhichisoneindefinition,Melissusonthatwhichis
  oneinmatter,forwhichreasontheformersaysthatitislimited,
  thelatterthatitisunlimited;whileXenophanes,thefirstof
  thesepartisansoftheOneforParmenidesissaidtohavebeenhis
  pupil,gavenoclearstatement,nordoesheseemtohavegrasped
  thenatureofeitherofthesecauses,butwithreferencetothe
  wholematerialuniversehesaystheOneisGod。Nowthesethinkers,as
  wesaid,mustbeneglectedforthepurposesofthepresentinquiry-two
  ofthementirely,asbeingalittletoonaive,viz。Xenophanesand
  Melissus;butParmenidesseemsinplacestospeakwithmoreinsight。
  For,claimingthat,besidestheexistent,nothingnon-existentexists,
  hethinksthatofnecessityonethingexists,viz。theexistentand
  nothingelseonthiswehavespokenmoreclearlyinourworkon
  nature,butbeingforcedtofollowtheobservedfacts,and
  supposingtheexistenceofthatwhichisoneindefinition,butmore
  thanoneaccordingtooursensations,henowpositstwocausesandtwo
  principles,callingthemhotandcold,i。e。fireandearth;andof
  theseherangesthehotwiththeexistent,andtheotherwiththe
  non-existent。
  Fromwhathasbeensaid,then,andfromthewisemenwhohave
  nowsatincouncilwithus,wehavegotthusmuch-ontheonehandfrom
  theearliestphilosophers,whoregardthefirstprincipleascorporeal
  forwaterandfireandsuchthingsarebodies,andofwhomsome
  supposethatthereisonecorporealprinciple,othersthatthereare
  morethanone,butbothputtheseundertheheadofmatter;andonthe
  otherhandfromsomewhopositboththiscauseandbesidesthisthe
  sourceofmovement,whichwehavegotfromsomeassingleandfrom
  othersastwofold。
  DowntotheItalianschool,then,andapartfromit,
  philosophershavetreatedthesesubjectsratherobscurely,except
  that,aswesaid,theyhaveinfactusedtwokindsofcause,andone
  ofthese-thesourceofmovement-sometreatasoneandothersastwo。
  ButthePythagoreanshavesaidinthesamewaythattherearetwo
  principles,butaddedthismuch,whichispeculiartothem,that
  theythoughtthatfinitudeandinfinitywerenotattributesofcertain
  otherthings,e。g。offireorearthoranythingelseofthiskind,but
  thatinfinityitselfandunityitselfwerethesubstanceofthethings
  ofwhichtheyarepredicated。Thisiswhynumberwasthesubstance
  ofallthings。Onthissubject,then,theyexpressedthemselves
  thus;andregardingthequestionofessencetheybegantomake
  statementsanddefinitions,buttreatedthemattertoosimply。For
  theybothdefinedsuperficiallyandthoughtthatthefirstsubject
  ofwhichagivendefinitionwaspredicablewasthesubstanceofthe
  thingdefined,asifonesupposedthat’double’and’2’werethesame,
  because2isthefirstthingofwhich’double’ispredicable。But
  surelytobedoubleandtobe2arenotthesame;iftheyare,one
  thingwillbemany-aconsequencewhichtheyactuallydrew。Fromthe
  earlierphilosophers,then,andfromtheirsuccessorswecanlearn
  thusmuch。
  AfterthesystemswehavenamedcamethephilosophyofPlato,
  whichinmostrespectsfollowedthesethinkers,buthad
  pecullaritiesthatdistinguisheditfromthephilosophyofthe
  Italians。For,havinginhisyouthfirstbecomefamiliarwithCratylus
  andwiththeHeracliteandoctrinesthatallsensiblethingsare
  everinastateoffluxandthereisnoknowledgeaboutthem,these
  viewsheheldeveninlateryears。Socrates,however,wasbusying
  himselfaboutethicalmattersandneglectingtheworldofnatureas
  awholebutseekingtheuniversalintheseethicalmatters,and
  fixedthoughtforthefirsttimeondefinitions;Platoacceptedhis
  teaching,butheldthattheproblemappliednottosensiblethingsbut
  toentitiesofanotherkind-forthisreason,thatthecommon
  definitioncouldnotbeadefinitionofanysensiblething,asthey
  werealwayschanging。Thingsofthisothersort,then,hecalled
  Ideas,andsensiblethings,hesaid,wereallnamedafterthese,and
  invirtueofarelationtothese;forthemanyexistedby
  participationintheIdeasthathavethesamenameasthey。Onlythe
  name’participation’wasnew;forthePythagoreanssaythatthings
  existby’imitation’ofnumbers,andPlatosaystheyexistby
  participation,changingthename。Butwhattheparticipationorthe
  imitationoftheFormscouldbetheyleftanopenquestion。
  Further,besidessensiblethingsandFormshesaystherearethe
  objectsofmathematics,whichoccupyanintermediateposition,
  differingfromsensiblethingsinbeingeternalandunchangeable,from
  Formsinthattherearemanyalike,whiletheFormitselfisineach
  caseunique。
  SincetheFormswerethecausesofallotherthings,hethought
  theirelementsweretheelementsofallthings。Asmatter,thegreat
  andthesmallwereprinciples;asessentialreality,theOne;forfrom
  thegreatandthesmall,byparticipationintheOne,comethe
  Numbers。
  ButheagreedwiththePythagoreansinsayingthattheOneis
  substanceandnotapredicateofsomethingelse;andinsayingthat
  theNumbersarethecausesoftherealityofotherthingsheagreed
  withthem;butpositingadyadandconstructingtheinfiniteoutof
  greatandsmall,insteadoftreatingtheinfiniteasone,is
  peculiartohim;andsoishisviewthattheNumbersexistapart
  fromsensiblethings,whiletheysaythatthethingsthemselvesare
  Numbers,anddonotplacetheobjectsofmathematicsbetweenFormsand
  sensiblethings。HisdivergencefromthePythagoreansinmakingthe
  OneandtheNumbersseparatefromthings,andhisintroductionof
  theForms,wereduetohisinquiriesintheregionofdefinitionsfor
  theearlierthinkershadnotinctureofdialectic,andhismakingthe
  otherentitybesidestheOneadyadwasduetothebeliefthatthe
  numbers,exceptthosewhichwereprime,couldbeneatlyproducedout
  ofthedyadasoutofsomeplasticmaterial。Yetwhathappensisthe
  contrary;thetheoryisnotareasonableone。Fortheymakemany
  thingsoutofthematter,andtheformgeneratesonlyonce,butwhat
  weobserveisthatonetableismadefromonematter,whiletheman
  whoappliestheform,thoughheisone,makesmanytables。Andthe
  relationofthemaletothefemaleissimilar;forthelatteris
  impregnatedbyonecopulation,butthemaleimpregnatesmany
  females;yettheseareanaloguesofthosefirstprinciples。
  Plato,then,declaredhimselfthusonthepointsinquestion;it
  isevidentfromwhathasbeensaidthathehasusedonlytwocauses,
  thatoftheessenceandthematerialcausefortheFormsarethe
  causesoftheessenceofallotherthings,andtheOneisthecauseof
  theessenceoftheForms;anditisevidentwhattheunderlying
  matteris,ofwhichtheFormsarepredicatedinthecaseofsensible
  things,andtheOneinthecaseofForms,viz。thatthisisadyad,
  thegreatandthesmall。Further,hehasassignedthecauseofgood
  andthatofeviltotheelements,onetoeachofthetwo,aswesay
  someofhispredecessorssoughttodo,e。g。EmpedoclesandAnaxagoras。
  Ourreviewofthosewhohavespokenaboutfirstprinciplesand
  realityandofthewayinwhichtheyhavespoken,hasbeenconciseand
  summary;butyetwehavelearntthismuchfromthem,thatofthosewho
  speakabout’principle’and’cause’noonehasmentionedanyprinciple
  exceptthosewhichhavebeendistinguishedinourworkonnature,
  butallevidentlyhavesomeinklingofthem,thoughonlyvaguely。
  Forsomespeakofthefirstprincipleasmatter,whetherthey
  supposeoneormorefirstprinciples,andwhethertheysupposethisto
  beabodyortobeincorporeal;e。g。Platospokeofthegreatand
  thesmall,theItaliansoftheinfinite,Empedoclesoffire,earth,
  water,andair,Anaxagorasoftheinfinityofthingscomposedof
  similarparts。These,then,haveallhadanotionofthiskindof
  cause,andsohaveallwhospeakofairorfireorwater,orsomething
  denserthanfireandrarerthanair;forsomehavesaidtheprime
  elementisofthiskind。
  Thesethinkersgraspedthiscauseonly;butcertainothershave
  mentionedthesourceofmovement,e。g。thosewhomakefriendshipand
  strife,orreason,orlove,aprinciple。
  Theessence,i。e。thesubstantialreality,noonehasexpressed
  distinctly。ItishintedatchieflybythosewhobelieveintheForms;
  fortheydonotsupposeeitherthattheFormsarethematterof
  sensiblethings,andtheOnethematteroftheForms,orthattheyare
  thesourceofmovementfortheysaythesearecausesratherof
  immobilityandofbeingatrest,buttheyfurnishtheFormsasthe
  essenceofeveryotherthing,andtheOneastheessenceoftheForms。
  Thatforwhosesakeactionsandchangesandmovementstake
  place,theyasserttobeacauseinaway,butnotinthisway,i。e。
  notinthewayinwhichitisitsnaturetobeacause。Forthose
  whospeakofreasonorfriendshipclassthesecausesasgoods;theydo
  notspeak,however,asifanythingthatexistseitherexistedor
  cameintobeingforthesakeofthese,butasifmovementsstarted
  fromthese。InthesamewaythosewhosaytheOneortheexistentis
  thegood,saythatitisthecauseofsubstance,butnotthat
  substanceeitherisorcomestobeforthesakeofthis。Therefore
  itturnsoutthatinasensetheybothsayanddonotsaythegood
  isacause;fortheydonotcallitacausequagoodbutonly
  incidentally。
  Allthesethinkersthen,astheycannotpitchonanothercause,
  seemtotestifythatwehavedeterminedrightlybothhowmanyandof
  whatsortthecausesare。Besidesthisitisplainthatwhenthe
  causesarebeinglookedfor,eitherallfourmustbesoughtthusor
  theymustbesoughtinoneofthesefourways。Letusnextdiscussthe
  possibledifficultieswithregardtothewayinwhicheachofthese
  thinkershasspoken,andwithregardtohissituationrelativelyto
  thefirstprinciples。