Butevidentlythereisafirstprinciple,andthecausesofthings
  areneitheraninfiniteseriesnorinfinitelyvariousinkind。For
  neithercanonethingproceedfromanother,asfrommatter,ad
  infinitume。g。fleshfromearth,earthfromair,airfromfire,and
  soonwithoutstopping,norcanthesourcesofmovementforman
  endlessseriesmanforinstancebeingactedonbyair,airbythe
  sun,thesunbyStrife,andsoonwithoutlimit。Similarlythe
  finalcausescannotgoonadinfinitum,-walkingbeingforthesake
  ofhealth,thisforthesakeofhappiness,happinessforthesakeof
  somethingelse,andsoonethingalwaysforthesakeofanother。And
  thecaseoftheessenceissimilar。Forinthecaseof
  intermediates,whichhavealasttermandatermpriortothem,the
  priormustbethecauseofthelaterterms。Forifwehadtosaywhich
  ofthethreeisthecause,weshouldsaythefirst;surelynotthe
  last,forthefinaltermisthecauseofnone;noreventhe
  intermediate,foritisthecauseonlyofone。Itmakesnodifference
  whetherthereisoneintermediateormore,norwhethertheyare
  infiniteorfiniteinnumber。Butofserieswhichareinfinitein
  thisway,andoftheinfiniteingeneral,allthepartsdowntothat
  nowpresentarealikeintermediates;sothatifthereisnofirst
  thereisnocauseatall。
  Norcantherebeaninfiniteprocessdownwards,withabeginning
  intheupwarddirection,sothatwatershouldproceedfromfire,earth
  fromwater,andsoalwayssomeotherkindshouldbeproduced。For
  onethingcomesfromanotherintwoways-notinthesenseinwhich
  ’from’means’after’aswesay’fromtheIsthmiangamescomethe
  Olympian’,buteitheriasthemancomesfromtheboy,bytheboy’s
  changing,oriiasaircomesfromwater。By’asthemancomesfrom
  theboy’wemean’asthatwhichhascometobefromthatwhichis
  comingtobe’or’asthatwhichisfinishedfromthatwhichisbeing
  achieved’forasbecomingisbetweenbeingandnotbeing,sothat
  whichisbecomingisalwaysbetweenthatwhichisandthatwhichis
  not;forthelearnerisamanofscienceinthemaking,andthisis
  whatismeantwhenwesaythatfromalearneramanofscienceis
  beingmade;ontheotherhand,comingfromanotherthingaswater
  comesfromairimpliesthedestructionoftheotherthing。Thisiswhy
  changesoftheformerkindarenotreversible,andtheboydoesnot
  comefromthemanforitisnotthatwhichcomestobesomethingthat
  comestobeasaresultofcomingtobe,butthatwhichexistsafter
  thecomingtobe;foritisthusthattheday,too,comesfromthe
  morning-inthesensethatitcomesafterthemorning;whichisthe
  reasonwhythemorningcannotcomefromtheday;butchangesofthe
  otherkindarereversible。Butinbothcasesitisimpossiblethatthe
  numberoftermsshouldbeinfinite。Fortermsoftheformerkind,
  beingintermediates,musthaveanend,andtermsofthelatterkind
  changebackintooneanother,forthedestructionofeitheristhe
  generationoftheother。
  Atthesametimeitisimpossiblethatthefirstcause,being
  eternal,shouldbedestroyed;forsincetheprocessofbecomingisnot
  infiniteintheupwarddirection,thatwhichisthefirstthingby
  whosedestructionsomethingcametobemustbenon-eternal。
  Further,thefinalcauseisanend,andthatsortofendwhich
  isnotforthesakeofsomethingelse,butforwhosesakeeverything
  elseis;sothatifthereistobealasttermofthissort,the
  processwillnotbeinfinite;butifthereisnosuchterm,therewill
  benofinalcause,butthosewhomaintaintheinfiniteseries
  eliminatetheGoodwithoutknowingityetnoonewouldtrytodo
  anythingifhewerenotgoingtocometoalimit;norwouldthere
  bereasonintheworld;thereasonableman,atleast,alwaysacts
  forapurpose,andthisisalimit;fortheendisalimit。
  Buttheessence,also,cannotbereducedtoanotherdefinition
  whichisfullerinexpression。Fortheoriginaldefinitionisalways
  moreofadefinition,andnotthelaterone;andinaseriesin
  whichthefirsttermhasnottherequiredcharacter,thenexthas
  notiteither。Further,thosewhospeakthusdestroyscience;forit
  isnotpossibletohavethistillonecomestotheunanalysableterms。
  Andknowledgebecomesimpossible;forhowcanoneapprehendthings
  thatareinfiniteinthisway?Forthisisnotlikethecaseofthe
  line,towhosedivisibilitythereisnostop,butwhichwecannot
  thinkifwedonotmakeastopforwhichreasononewhoistracing
  theinfinitelydivisiblelinecannotbecountingthepossibilities
  ofsection,butthewholelinealsomustbeapprehendedby
  somethinginusthatdoesnotmovefromparttopart-Again,nothing
  infinitecanexist;andifitcould,atleastthenotionofinfinity
  isnotinfinite。
  Butifthekindsofcauseshadbeeninfiniteinnumber,then
  alsoknowledgewouldhavebeenimpossible;forwethinkweknow,
  onlywhenwehaveascertainedthecauses,thatbutthatwhichis
  infinitebyadditioncannotbegonethroughinafinitetime。
  Theeffectwhichlecturesproduceonahearerdependsonhis
  habits;forwedemandthelanguageweareaccustomedto,andthat
  whichisdifferentfromthisseemsnotinkeepingbutsomewhat
  unintelligibleandforeignbecauseofitsunwontedness。Foritis
  thecustomarythatisintelligible。Theforceofhabitisshownbythe
  laws,inwhichthelegendaryandchildishelementsprevailoverour
  knowledgeaboutthem,owingtohabit。Thussomepeopledonotlisten
  toaspeakerunlesshespeaksmathematically,othersunlesshegives
  instances,whileothersexpecthimtociteapoetaswitness。Andsome
  wanttohaveeverythingdoneaccurately,whileothersareannoyedby
  accuracy,eitherbecausetheycannotfollowtheconnexionofthought
  orbecausetheyregarditaspettifoggery。Foraccuracyhas
  somethingofthischaracter,sothatasintradesoinargumentsome
  peoplethinkitmean。Henceonemustbealreadytrainedtoknowhowto
  takeeachsortofargument,sinceitisabsurdtoseekatthesame
  timeknowledgeandthewayofattainingknowledge;anditisnot
  easytogetevenoneofthetwo。
  Theminuteaccuracyofmathematicsisnottobedemandedinall
  cases,butonlyinthecaseofthingswhichhavenomatter。Hence
  methodisnotthatofnaturalscience;forpresumablythewholeof
  naturehasmatter。Hencewemustinquirefirstwhatnatureis:for
  thusweshallalsoseewhatnaturalsciencetreatsofandwhether
  itbelongstoonescienceortomoretoinvestigatethecausesandthe
  principlesofthings。
  WEmust,withaviewtothesciencewhichweareseeking,first
  recountthesubjectsthatshouldbefirstdiscussed。Theseinclude
  boththeotheropinionsthatsomehaveheldonthefirstprinciples,
  andanypointbesidesthesethathappenstohavebeenoverlooked。
  Forthosewhowishtogetclearofdifficultiesitisadvantageous
  todiscussthedifficultieswell;forthesubsequentfreeplayof
  thoughtimpliesthesolutionofthepreviousdifficulties,anditis
  notpossibletountieaknotofwhichonedoesnotknow。Butthe
  difficultyofourthinkingpointstoa’knot’intheobject;forinso
  farasourthoughtisindifficulties,itisinlikecasewiththose
  whoarebound;forineithercaseitisimpossibletogoforward。
  Henceoneshouldhavesurveyedallthedifficultiesbeforehand,both
  forthepurposeswehavestatedandbecausepeoplewhoinquirewithout
  firststatingthedifficultiesarelikethosewhodonotknowwhere
  theyhavetogo;besides,amandoesnototherwiseknowevenwhether
  hehasatanygiventimefoundwhatheislookingforornot;for
  theendisnotcleartosuchaman,whiletohimwhohasfirst
  discussedthedifficultiesitisclear。Further,hewhohasheard
  allthecontendingarguments,asiftheywerethepartiestoacase,
  mustbeinabetterpositionforjudging。
  Thefirstproblemconcernsthesubjectwhichwediscussedinour
  prefatoryremarks。Itisthis-1whethertheinvestigationofthe
  causesbelongstooneortomoresciences,and2whethersucha
  scienceshouldsurveyonlythefirstprinciplesofsubstance,or
  alsotheprinciplesonwhichallmenbasetheirproofs,e。g。whether
  itispossibleatthesametimetoassertanddenyoneandthesame
  thingornot,andallothersuchquestions;and3ifthescience
  inquestiondealswithsubstance,whetheronesciencedealswithall
  substances,ormorethanone,andifmore,whetherallareakin,or
  someofthemmustbecalledformsofWisdomandtheotherssomething
  else。And4thisitselfisalsooneofthethingsthatmustbe
  discussed-whethersensiblesubstancesaloneshouldbesaidtoexistor
  othersalsobesidesthem,andwhethertheseothersareofonekind
  orthereareseveralclassesofsubstances,asissupposedbythose
  whobelievebothinFormsandinmathematicalobjectsintermediate
  betweentheseandsensiblethings。Intothesequestions,then,aswe
  say,wemustinquire,andalso5whetherourinvestigationis
  concernedonlywithsubstancesoralsowiththeessentialattributes
  ofsubstances。Further,withregardtothesameandotherandlikeand
  unlikeandcontrariety,andwithregardtopriorandposteriorandall
  othersuchtermsaboutwhichthedialecticianstrytoinquire,
  startingtheirinvestigationfromprobablepremisesonly,-whose
  businessisittoinquireintoallthese?Further,wemustdiscussthe
  essentialattributesofthesethemselves;andwemustasknotonly
  whateachoftheseis,butalsowhetheronethingalwayshasone
  contrary。Again6,aretheprinciplesandelementsofthingsthe
  genera,orthepartspresentineachthing,intowhichitis
  divided;and7iftheyarethegenera,aretheythegenerathat
  arepredicatedproximatelyoftheindividuals,orthehighest
  genera,e。g。isanimalormanthefirstprincipleandthemore
  independentoftheindividualinstance?And8wemustinquireand
  discussespeciallywhetherthereis,besidesthematter,anything
  thatisacauseinitselfornot,andwhetherthiscanexistapart
  ornot,andwhetheritisoneormoreinnumber,andwhetherthere
  issomethingapartfromtheconcretethingbytheconcretethingI
  meanthematterwithsomethingalreadypredicatedofit,orthere
  isnothingapart,orthereissomethinginsomecasesthoughnotin
  others,andwhatsortofcasestheseare。Again9weaskwhetherthe
  principlesarelimitedinnumberorinkind,boththoseinthe
  definitionsandthoseinthesubstratum;and10whetherthe
  principlesofperishableandofimperishablethingsarethesameor
  different;andwhethertheyareallimperishableorthoseof
  perishablethingsareperishable。Further11thereisthequestion
  whichishardestofallandmostperplexing,whetherunityand
  being,asthePythagoreansandPlatosaid,arenotattributesof
  somethingelsebutthesubstanceofexistingthings,orthisisnot
  thecase,butthesubstratumissomethingelse,-asEmpedoclessays,
  love;assomeoneelsesays,fire;whileanothersayswaterorair。
  Again12weaskwhethertheprinciplesareuniversalorlike
  individualthings,and13whethertheyexistpotentiallyor
  actually,andfurther,whethertheyarepotentialoractualinany
  othersensethaninreferencetomovement;forthesequestionsalso
  wouldpresentmuchdifficulty。Further14,arenumbersandlinesand
  figuresandpointsakindofsubstanceornot,andiftheyare
  substancesaretheyseparatefromsensiblethingsorpresentin
  them?Withregardtoallthesemattersnotonlyisithardtoget
  possessionofthetruth,butitisnoteasyeventothinkoutthe
  difficultieswell。