下载辰思小说免费APP
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