Butevidentlythereisafirstprinciple,andthecausesofthings
areneitheraninfiniteseriesnorinfinitelyvariousinkind。For
neithercanonethingproceedfromanother,asfrommatter,ad
infinitum(e。g。fleshfromearth,earthfromair,airfromfire,and
soonwithoutstopping),norcanthesourcesofmovementforman
endlessseries(manforinstancebeingactedonbyair,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’),buteither(i)asthemancomesfromtheboy,bytheboy’s
changing,or(ii)asaircomesfromwater。By’asthemancomesfrom
theboy’wemean’asthatwhichhascometobefromthatwhichis
comingtobe’or’asthatwhichisfinishedfromthatwhichisbeing
achieved’(forasbecomingisbetweenbeingandnotbeing,sothat
whichisbecomingisalwaysbetweenthatwhichisandthatwhichis
not;forthelearnerisamanofscienceinthemaking,andthisis
whatismeantwhenwesaythatfromalearneramanofscienceis
beingmade);ontheotherhand,comingfromanotherthingaswater
comesfromairimpliesthedestructionoftheotherthing。Thisiswhy
changesoftheformerkindarenotreversible,andtheboydoesnot
comefromtheman(foritisnotthatwhichcomestobesomethingthat
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
eliminatetheGoodwithoutknowingit(yetnoonewouldtrytodo
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
thinkifwedonotmakeastop(forwhichreasononewhoistracing
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
thusweshallalsoseewhatnaturalsciencetreatsof(andwhether
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-(1)whethertheinvestigationofthe
causesbelongstooneortomoresciences,and(2)whethersucha
scienceshouldsurveyonlythefirstprinciplesofsubstance,or
alsotheprinciplesonwhichallmenbasetheirproofs,e。g。whether
itispossibleatthesametimetoassertanddenyoneandthesame
thingornot,andallothersuchquestions;and(3)ifthescience
inquestiondealswithsubstance,whetheronesciencedealswithall
substances,ormorethanone,andifmore,whetherallareakin,or
someofthemmustbecalledformsofWisdomandtheotherssomething
else。And(4)thisitselfisalsooneofthethingsthatmustbe
discussed-whethersensiblesubstancesaloneshouldbesaidtoexistor
othersalsobesidesthem,andwhethertheseothersareofonekind
orthereareseveralclassesofsubstances,asissupposedbythose
whobelievebothinFormsandinmathematicalobjectsintermediate
betweentheseandsensiblethings。Intothesequestions,then,aswe
say,wemustinquire,andalso(5)whetherourinvestigationis
concernedonlywithsubstancesoralsowiththeessentialattributes
ofsubstances。Further,withregardtothesameandotherandlikeand
unlikeandcontrariety,andwithregardtopriorandposteriorandall
othersuchtermsaboutwhichthedialecticianstrytoinquire,
startingtheirinvestigationfromprobablepremisesonly,-whose
businessisittoinquireintoallthese?Further,wemustdiscussthe
essentialattributesofthesethemselves;andwemustasknotonly
whateachoftheseis,butalsowhetheronethingalwayshasone
contrary。Again(6),aretheprinciplesandelementsofthingsthe
genera,orthepartspresentineachthing,intowhichitis
divided;and(7)iftheyarethegenera,aretheythegenerathat
arepredicatedproximatelyoftheindividuals,orthehighest
genera,e。g。isanimalormanthefirstprincipleandthemore
independentoftheindividualinstance?And(8)wemustinquireand
discussespeciallywhetherthereis,besidesthematter,anything
thatisacauseinitselfornot,andwhetherthiscanexistapart
ornot,andwhetheritisoneormoreinnumber,andwhetherthere
issomethingapartfromtheconcretething(bytheconcretethingI
meanthematterwithsomethingalreadypredicatedofit),orthere
isnothingapart,orthereissomethinginsomecasesthoughnotin
others,andwhatsortofcasestheseare。Again(9)weaskwhetherthe
principlesarelimitedinnumberorinkind,boththoseinthe
definitionsandthoseinthesubstratum;and(10)whetherthe
principlesofperishableandofimperishablethingsarethesameor
different;andwhethertheyareallimperishableorthoseof
perishablethingsareperishable。Further(11)thereisthequestion
whichishardestofallandmostperplexing,whetherunityand
being,asthePythagoreansandPlatosaid,arenotattributesof
somethingelsebutthesubstanceofexistingthings,orthisisnot
thecase,butthesubstratumissomethingelse,-asEmpedoclessays,
love;assomeoneelsesays,fire;whileanothersayswaterorair。
Again(12)weaskwhethertheprinciplesareuniversalorlike
individualthings,and(13)whethertheyexistpotentiallyor
actually,andfurther,whethertheyarepotentialoractualinany
othersensethaninreferencetomovement;forthesequestionsalso
wouldpresentmuchdifficulty。Further(14),arenumbersandlinesand
figuresandpointsakindofsubstanceornot,andiftheyare
substancesaretheyseparatefromsensiblethingsorpresentin
them?Withregardtoallthesemattersnotonlyisithardtoget
possessionofthetruth,butitisnoteasyeventothinkoutthe
difficultieswell。