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。
第6章