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1、'Breathtaking.Badiou...announcesanewepochinphilosophy.'SLAVOJZIZEKoAlainBadiou+NumberandNumbersNumberandNumbersAlainBadiouTranslatedbyRobinMackaypolityFirstpublishedinFrenchasLeNombreetleslIombres<0EditionsduSeuil,1990.ThisEnglishedition©PolityPress,2008Reprintedin2008Polit
2、yPress65BridgeStreetCambridgeCB21UR,UK.PolityPress350MainStreetMalden,MA02148,USAAllrightsreserved.Exceptforthequotationofshortpassagesforthepurposeofcriticismandreview,nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,elect
3、ronic,mechanical,photocopying,recordingorotherwise,withoutthepriorpermissionofthepublisher.ISBN-13:978-07456-3878-2ISBN-13:978-07456-3879-9(pb)AcataloguerewrdforthisbookisavailablefromtheBritishLibrary.Typesetin10.5on12ptSabonbySNPBest-setTypesetterLtd.,HongKongPrintedandbo
4、undintheUnitedStatesbyOdysseyPressInc.,Gonic,NewHampshireForfurtherinformationonPolity,visitourwebsite:www.polity.co.ukThisbookissupportedbytheFrenchMinistryforForeignAffairs,aspartoftheBurgessprogrammeheadedfortheFrenchEmbassyinLondonbytheInstitutFran..aisduRoyaume-Uni.www
5、.frenchbooknews.com••riinstitutfrancais�ContentsTranslator'sPrefacevii0NumberMustBeThoughtGenealogies:Frege,Dedekind,Peano,Cantor5IGreekNumberandModernNumber72Frege163AdditionalNoteonaContemporaryUsageofFrege244Dedekind315Peano466Cantor:'Well-Orderedness'andtheOrdinals522Co
6、ncepts:NaturalMultiplicities597TransitiveMultiplicities618VonNeumannOrdinals679SuccessionandLimit.TheInfinite7310Recurrence,orInduction83IINaturalWholeNumbers93viCONTENTS3OntologyofNumber:Definition,Order,Cuts,Types9912TheConceptofNumber:AnEventalNomination101ADDITIONALNOTE
7、SONSETSOFORDINALS11213DifferenceandOrderofNumbers11514TheConceptofSub-Number13115Cuts:TheFundamentalTheorem13916TheNumberlessEnchantmentofthePlaceofNumber1564OperationalDimensions18117NaturalInterlude18318AlgebraofNumbers198Conclusion20919InConclusion:FromNumbertoTrans-Bein
8、g211Notes215Index231Translator'sPrefaceAlainBadiou'sNumberandNumbers,firstpublishe
