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1、'BreathtaklnQ.8adiou..announcesanewepochinphilosophy.'SLAVOJZIZEKoAlain8adiou+NumberandNumbersNumberandNumbersAlainBadiouTranslatedbyRobinMackaypolityFirstpublishedinFrenchasLeNombreetleslIombres<0EditionsduSeuil,1990.ThisEnglishedition©PolityPress,2008Reprintedin2008PolityPress65BridgeSt
2、reetCambridgeCB21UR,UK.PolityPress350MainStreetMalden,MA02148,USAAllrightsreserved.Exceptforthequotationofshortpassagesforthepurposeofcriticismandreview,nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,electronic,mechanical,photocopying,r
3、ecordingorotherwise,withoutthepriorpermissionofthepublisher.ISBN-13:978-07456-3878-2ISBN-13:978-07456-3879-9(pb)AcataloguerewrdforthisbookisavailablefromtheBritishLibrary.Typesetin10.5on12ptSabonbySNPBest-setTypesetterLtd.,HongKongPrintedandboundintheUnitedStatesbyOdysseyPressInc.,Gonic,N
4、ewHampshireForfurtherinformationonPolity,visitourwebsite:www.polity.co.ukThisbookissupportedbytheFrenchMinistryforForeignAffairs,aspartoftheBurgessprogrammeheadedfortheFrenchEmbassyinLondonbytheInstitutFran..aisduRoyaume-Uni.www.frenchbooknews.com••riinstitutfrancais~ContentsTranslator'sP
5、refacevii0NumberMustBeThoughtGenealogies:Frege,Dedekind,Peano,Cantor5IGreekNumberandModernNumber72Frege163AdditionalNoteonaContemporaryUsageofFrege244Dedekind315Peano466Cantor:'Well-Orderedness'andtheOrdinals522Concepts:NaturalMultiplicities597TransitiveMultiplicities618VonNeumannOrdinals
6、679SuccessionandLimit.TheInfinite7310Recurrence,orInduction83IINaturalWholeNumbers93viCONTENTS3OntologyofNumber:Definition,Order,Cuts,Types9912TheConceptofNumber:AnEventalNomination101ADDITIONALNOTESONSETSOFORDINALS11213DifferenceandOrderofNumbers11514TheConceptofSub-Number13115Cuts:TheFu
7、ndamentalTheorem13916TheNumberlessEnchantmentofthePlaceofNumber1564OperationalDimensions18117NaturalInterlude18318AlgebraofNumbers198Conclusion20919InConclusion:FromNumbertoTrans-Being211Notes215Index231Translator'sPrefaceAlainBadiou'sNumberandNumbers,firstpublished
