Somethinkthateventheancientswholivedlongbeforethe
  presentgeneration,andfirstframedaccountsofthegods,hada
  similarviewofnature;fortheymadeOceanandTethystheparents
  ofcreation,anddescribedtheoathofthegodsasbeingbywater,
  towhichtheygivethenameofStyx;forwhatisoldestismost
  honourable,andthemosthonourablethingisthatbywhichoneswears。
  Itmayperhapsbeuncertainwhetherthisopinionaboutnatureis
  primitiveandancient,butThalesatanyrateissaidtohavedeclared
  himselfthusaboutthefirstcause。Hipponoonewouldthinkfitto
  includeamongthesethinkers,becauseofthepaltrinessofhis
  thought。
  AnaximenesandDiogenesmakeairpriortowater,andthemost
  primaryofthesimplebodies,whileHippasusofMetapontiumand
  HeraclitusofEphesussaythisoffire,andEmpedoclessaysitof
  thefourelementsaddingafourth-earth-tothosewhichhavebeen
  named;forthese,hesays,alwaysremainanddonotcometobe,
  exceptthattheycometobemoreorfewer,beingaggregatedintoone
  andsegregatedoutofone。
  AnaxagorasofClazomenae,who,thougholderthanEmpedocles,was
  laterinhisphilosophicalactivity,saystheprinciplesare
  infiniteinnumber;forhesaysalmostallthethingsthataremadeof
  partslikethemselves,inthemannerofwaterorfire,aregenerated
  anddestroyedinthisway,onlybyaggregationandsegregation,and
  arenotinanyothersensegeneratedordestroyed,butremain
  eternally。
  Fromthesefactsonemightthinkthattheonlycauseisthe
  so-calledmaterialcause;butasmenthusadvanced,theveryfacts
  openedthewayforthemandjoinedinforcingthemtoinvestigate
  thesubject。Howevertrueitmaybethatallgenerationand
  destructionproceedfromsomeoneorforthatmatterfrommore
  elements,whydoesthishappenandwhatisthecause?Foratleastthe
  substratumitselfdoesnotmakeitselfchange;e。g。neitherthewood
  northebronzecausesthechangeofeitherofthem,nordoesthe
  woodmanufactureabedandthebronzeastatue,butsomethingelse
  isthecauseofthechange。Andtoseekthisistoseekthesecond
  cause,asweshouldsay,-thatfromwhichcomesthebeginningofthe
  movement。Nowthosewhoattheverybeginningsetthemselvestothis
  kindofinquiry,andsaidthesubstratumwasone,werenotatall
  dissatisfiedwiththemselves;butsomeatleastofthosewho
  maintainittobeone-asthoughdefeatedbythissearchforthesecond
  cause-saytheoneandnatureasawholeisunchangeablenotonlyin
  respectofgenerationanddestructionforthisisaprimitivebelief,
  andallagreedinit,butalsoofallotherchange;andthisview
  ispeculiartothem。Ofthosewhosaidtheuniversewasone,thennone
  succeededindiscoveringacauseofthissort,exceptperhaps
  Parmenides,andheonlyinasmuchashesupposesthatthereisnotonly
  onebutalsoinsomesensetwocauses。Butforthosewhomakemore
  elementsitismorepossibletostatethesecondcause,e。g。forthose
  whomakehotandcold,orfireandearth,theelements;fortheytreat
  fireashavinganaturewhichfitsittomovethings,andwaterand
  earthandsuchthingstheytreatinthecontraryway。
  Whenthesemenandtheprinciplesofthiskindhadhadtheir
  day,asthelatterwerefoundinadequatetogeneratethenatureof
  thingsmenwereagainforcedbythetruthitself,aswesaid,to
  inquireintothenextkindofcause。Foritisnotlikelyeither
  thatfireorearthoranysuchelementshouldbethereasonwhythings
  manifestgoodnessand,beautybothintheirbeingandintheir
  comingtobe,orthatthosethinkersshouldhavesupposeditwas;
  noragaincoulditberighttoentrustsogreatamatterto
  spontaneityandchance。Whenonemansaid,then,thatreasonwas
  present-asinanimals,sothroughoutnature-asthecauseoforder
  andofallarrangement,heseemedlikeasobermanincontrastwith
  therandomtalkofhispredecessors。WeknowthatAnaxagorascertainly
  adoptedtheseviews,butHermotimusofClazomenaeiscreditedwith
  expressingthemearlier。Thosewhothoughtthusstatedthatthereisa
  principleofthingswhichisatthesametimethecauseofbeauty,and
  thatsortofcausefromwhichthingsacquiremovement。
  OnemightsuspectthatHesiodwasthefirsttolookforsucha
  thing-orsomeoneelsewhoputloveordesireamongexistingthingsas
  aprinciple,asParmenides,too,does;forhe,inconstructingthe
  genesisoftheuniverse,says:-
  LovefirstofalltheGodssheplanned。
  AndHesiodsays:-
  Firstofallthingswaschaosmade,andthen
  Broad-breastedearth……
  Andlove,’midallthegodspre-eminent,
  whichimpliesthatamongexistingthingstheremustbefromthe
  firstacausewhichwillmovethingsandbringthemtogether。How
  thesethinkersshouldbearrangedwithregardtopriorityofdiscovery
  letusbeallowedtodecidelater;butsincethecontrariesofthe
  variousformsofgoodwerealsoperceivedtobepresentin
  nature-notonlyorderandthebeautiful,butalsodisorderandthe
  ugly,andbadthingsingreaternumberthangood,andignoblethings
  thanbeautiful-thereforeanotherthinkerintroducedfriendshipand
  strife,eachofthetwothecauseofoneofthesetwosetsof
  qualities。ForifweweretofollowouttheviewofEmpedocles,and
  interpretitaccordingtoitsmeaningandnottoitslisping
  expression,weshouldfindthatfriendshipisthecauseofgood
  things,andstrifeofbad。Therefore,ifwesaidthatEmpedoclesin
  asensebothmentions,andisthefirsttomention,thebadandthe
  goodasprinciples,weshouldperhapsberight,sincethecauseofall
  goodsisthegooditself。
  Thesethinkers,aswesay,evidentlygrasped,andtothis
  extent,twoofthecauseswhichwedistinguishedinourworkon
  nature-thematterandthesourceofthemovement-vaguely,however,and
  withnoclearness,butasuntrainedmenbehaveinfights;forthey
  goroundtheiropponentsandoftenstrikefineblows,buttheydo
  notfightonscientificprinciples,andsotoothesethinkersdonot
  seemtoknowwhattheysay;foritisevidentthat,asarule,they
  makenouseoftheircausesexcepttoasmallextent。ForAnaxagoras
  usesreasonasadeusexmachinaforthemakingoftheworld,andwhen
  heisatalosstotellfromwhatcausesomethingnecessarilyis,then
  hedragsreasonin,butinallothercasesascribeseventstoanything
  ratherthantoreason。AndEmpedocles,thoughheusesthecausesto
  agreaterextentthanthis,neitherdoessosufficientlynorattains
  consistencyintheiruse。Atleast,inmanycaseshemakeslove
  segregatethings,andstrifeaggregatethem。Forwhenevertheuniverse
  isdissolvedintoitselementsbystrife,fireisaggregatedintoone,
  andsoiseachoftheotherelements;butwheneveragainunderthe
  influenceoflovetheycometogetherintoone,thepartsmustagainbe
  segregatedoutofeachelement。
  Empedocles,then,incontrastwithhisprecessors,wasthefirst
  tointroducethedividingofthiscause,notpositingonesourceof
  movement,butdifferentandcontrarysources。Again,hewasthe
  firsttospeakoffourmaterialelements;yethedoesnotusefour,
  buttreatsthemastwoonly;hetreatsfirebyitself,andits
  opposite-earth,air,andwater-asonekindofthing。Wemaylearnthis
  bystudyofhisverses。
  Thisphilosopherthen,aswesay,hasspokenoftheprinciples
  inthisway,andmadethemofthisnumber。Leucippusandhisassociate
  Democritussaythatthefullandtheemptyaretheelements,calling
  theonebeingandtheothernon-being-thefullandsolidbeing
  being,theemptynon-beingwhencetheysaybeingnomoreisthan
  non-being,becausethesolidnomoreisthantheempty;andtheymake
  thesethematerialcausesofthings。Andasthosewhomakethe
  underlyingsubstanceonegenerateallotherthingsbyits
  modifications,supposingtherareandthedensetobethesourcesof
  themodifications,inthesamewaythesephilosopherssaythe
  differencesintheelementsarethecausesofallotherqualities。
  Thesedifferences,theysay,arethree-shapeandorderandposition。
  Fortheysaytherealisdifferentiatedonlyby’rhythmand
  ’inter-contact’and’turning’;andoftheserhythmisshape,
  inter-contactisorder,andturningisposition;forAdiffersfrom
  Ninshape,ANfromNAinorder,MfromWinposition。Thequestionof
  movement-whenceorhowitistobelongtothings-thesethinkers,
  liketheothers,lazilyneglected。
  Regardingthetwocauses,then,aswesay,theinquiryseemsto
  havebeenpushedthusfarbytheearlyphilosophers。
  Contemporaneouslywiththesephilosophersandbeforethem,the
  so-calledPythagoreans,whowerethefirsttotakeupmathematics,not
  onlyadvancedthisstudy,butalsohavingbeenbroughtupinitthey
  thoughtitsprinciplesweretheprinciplesofallthings。Sinceof
  theseprinciplesnumbersarebynaturethefirst,andinnumbers
  theyseemedtoseemanyresemblancestothethingsthatexistandcome
  intobeing-morethaninfireandearthandwatersuchandsucha
  modificationofnumbersbeingjustice,anotherbeingsouland
  reason,anotherbeingopportunity-andsimilarlyalmostallother
  thingsbeingnumericallyexpressible;since,again,theysawthatthe
  modificationsandtheratiosofthemusicalscaleswereexpressiblein
  numbers;-since,then,allotherthingsseemedintheirwholenatureto
  bemodelledonnumbers,andnumbersseemedtobethefirstthingsin
  thewholeofnature,theysupposedtheelementsofnumberstobethe
  elementsofallthings,andthewholeheaventobeamusicalscaleand
  anumber。Andallthepropertiesofnumbersandscaleswhichthey
  couldshowtoagreewiththeattributesandpartsandthewhole
  arrangementoftheheavens,theycollectedandfittedintotheir
  scheme;andiftherewasagapanywhere,theyreadilymadeadditions
  soastomaketheirwholetheorycoherent。E。g。asthenumber10is
  thoughttobeperfectandtocomprisethewholenatureofnumbers,
  theysaythatthebodieswhichmovethroughtheheavensareten,but
  asthevisiblebodiesareonlynine,tomeetthistheyinventa
  tenth——the’counter-earth’。Wehavediscussedthesemattersmore
  exactlyelsewhere。
  Buttheobjectofourreviewisthatwemaylearnfromthese
  philosophersalsowhattheysupposetobetheprinciplesandhowthese
  fallunderthecauseswehavenamed。Evidently,then,thesethinkers
  alsoconsiderthatnumberistheprinciplebothasmatterforthings
  andasformingboththeirmodificationsandtheirpermanentstates,
  andholdthattheelementsofnumberaretheevenandtheodd,and
  thatofthesethelatterislimited,andtheformerunlimited;and
  thattheOneproceedsfrombothoftheseforitisbothevenand
  odd,andnumberfromtheOne;andthatthewholeheaven,ashas
  beensaid,isnumbers。
  Othermembersofthissameschoolsaytherearetenprinciples,
  whichtheyarrangeintwocolumnsofcognates-limitandunlimited,odd
  andeven,oneandplurality,rightandleft,maleandfemale,
  restingandmoving,straightandcurved,lightanddarkness,good
  andbad,squareandoblong。InthiswayAlcmaeonofCrotonseems
  alsotohaveconceivedthematter,andeitherhegotthisviewfrom
  themortheygotitfromhim;forheexpressedhimselfsimilarlyto
  them。Forhesaysmosthumanaffairsgoinpairs,meaningnotdefinite
  contrarietiessuchasthePythagoreansspeakof,butanychance
  contrarieties,e。g。whiteandblack,sweetandbitter,goodandbad,
  greatandsmall。Hethrewoutindefinitesuggestionsabouttheother
  contrarieties,butthePythagoreansdeclaredbothhowmanyandwhich
  theircontrarictiesare。
  Fromboththeseschools,then,wecanlearnthismuch,thatthe
  contrariesaretheprinciplesofthings;andhowmanytheseprinciples
  areandwhichtheyare,wecanlearnfromoneofthetwoschools。
  Buthowtheseprinciplescanbebroughttogetherunderthecauseswe
  havenamedhasnotbeenclearlyandarticulatelystatedbythem;
  theyseem,however,torangetheelementsundertheheadofmatter;
  foroutoftheseasimmanentpartstheysaysubstanceiscomposed
  andmoulded。