METAPHYSICS

第43章

Further,whyshouldtherealwaysbebecoming,andwhatisthe

causeofbecoming?-thisnoonetellsus。Andthosewhosupposetwo

principlesmustsupposeanother,asuperiorprinciple,andsomust

thosewhobelieveintheForms;forwhydidthingscometo

participate,orwhydotheyparticipate,intheForms?Andallother

thinkersareconfrontedbythenecessaryconsequencethatthereis

somethingcontrarytoWisdom,i。e。tothehighestknowledge;butwe

arenot。Forthereisnothingcontrarytothatwhichisprimary;for

allcontrarieshavematter,andthingsthathavematterexistonly

potentially;andtheignorancewhichiscontrarytoanyknowledge

leadstoanobjectcontrarytotheobjectoftheknowledge;butwhat

isprimaryhasnocontrary。

Again,ifbesidessensiblethingsnoothersexist,therewillbe

nofirstprinciple,noorder,nobecoming,noheavenlybodies,but

eachprinciplewillhaveaprinciplebeforeit,asintheaccounts

ofthetheologiansandallthenaturalphilosophers。Butifthe

Formsorthenumbersaretoexist,theywillbecausesofnothing;

orifnotthat,atleastnotofmovement。Further,howisextension,

i。e。acontinuum,tobeproducedoutofunextendedparts?Fornumber

willnot,eitherasmoverorasform,produceacontinuum。Butagain

therecannotbeanycontrarythatisalsoessentiallyaproductive

ormovingprinciple;foritwouldbepossibleforitnottobe。Or

atleastitsactionwouldbeposteriortoitspotency。Theworld,

then,wouldnotbeeternal。Butitis;oneofthesepremisses,then,

mustbedenied。Andwehavesaidhowthismustbedone。Further,in

virtueofwhatthenumbers,orthesoulandthebody,oringeneral

theformandthething,areone-ofthisnoonetellsusanything;

norcananyonetell,unlesshesays,aswedo,thatthemovermakes

themone。Andthosewhosaymathematicalnumberisfirstandgoon

togenerateonekindofsubstanceafteranotherandgivedifferent

principlesforeach,makethesubstanceoftheuniverseamere

seriesofepisodes(foronesubstancehasnoinfluenceonanotherby

itsexistenceornonexistence),andtheygiveusmanygoverning

principles;buttheworldrefusestobegovernedbadly。

’Theruleofmanyisnotgood;onerulerlettherebe。’

WEhavestatedwhatisthesubstanceofsensiblethings,dealing

inthetreatiseonphysicswithmatter,andlaterwiththesubstance

whichhasactualexistence。Nowsinceourinquiryiswhetherthere

isorisnotbesidesthesensiblesubstancesanywhichisimmovable

andeternal,and,ifthereis,whatitis,wemustfirstconsiderwhat

issaidbyothers,sothat,ifthereisanythingwhichtheysay

wrongly,wemaynotbeliabletothesameobjections,while,if

thereisanyopinioncommontothemandus,weshallhavenoprivate

grievanceagainstourselvesonthataccount;foronemustbecontent

tostatesomepointsbetterthanone’spredecessors,andothersno

worse。

Twoopinionsareheldonthissubject;itissaidthattheobjects

ofmathematics-i。e。numbersandlinesandthelike-aresubstances,and

againthattheIdeasaresubstances。And(1)sincesomerecognize

theseastwodifferentclasses-theIdeasandthemathematicalnumbers,

and(2)somerecognizebothashavingonenature,while(3)some

otherssaythatthemathematicalsubstancesaretheonlysubstances,

wemustconsiderfirsttheobjectsofmathematics,notqualifyingthem

byanyothercharacteristic-notasking,forinstance,whethertheyare

infactIdeasornot,orwhethertheyaretheprinciplesand

substancesofexistingthingsornot,butonlywhetherasobjectsof

mathematicstheyexistornot,andiftheyexist,howtheyexist。Then

afterthiswemustseparatelyconsidertheIdeasthemselvesina

generalway,andonlyasfarastheacceptedmodeoftreatment

demands;formostofthepointshavebeenrepeatedlymadeevenby

thediscussionsoutsideourschool,and,further,thegreaterpart

ofouraccountmustfinishbythrowinglightonthatinquiry,viz。

whenweexaminew

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