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1、IncompletenessPUBLISHEDTITLESINTHEGREATDISCOVERIESSERIESDavidFosterWallaceEverythingandMore:ACompactHistoryofcoSherwinB.NulandTheDoctors'Plague:Germs,ChildbedFever,andtheStrangeStoryoflgndcSemmelweisMichioKakuEinstein'sCosmos:HowAlbertEinstein'sVisionTransformedOurUn
2、derstandingofSpaceandTimeBarbaraGoldsmithObsessiveGenius:TheInnerWorldofMarieCurieRebeccaGoldsteinIncompleteness:TheProofandParadoxofKurtGodelFORTHCOMINGTITLESDavidLeavittonAlanTuringandtheComputerMadisonSmarttBellonLavoisierandModernChemistryRichardReevesonRutherfor
3、dandtheAtomGeorgeJohnsononHubbleandtheMeasurementoftheUniverseDanielMendelsohnonArchimedesandtheScienceoftheAncientGreeksWilliamT.VollmannonCopernicusandtheCopernicanRevolutionDavidQuammenonDarwinandEvolutionGeneralEditors:EdwinBarberandJesseCohenBYREBECCAGOLDSTEINTh
4、eMind-BodyProblemTheLate-SummerPassionofaWomanofMindTheDarkSisterStrangeAttractorsMazelPropertiesofLightIncompletenessGREATDISCOVERIESREBECCAGOLDSTEINTheProofandParadoxofKurtGodelATLASBOOKS->rW.W.NORTON&COMPANYNEWYORK■LONDONPhotographCreditsp.24TheAmericanInstituteof
5、Physics/EmilioSegreVisualArchivesp.255LeonardMcCombe/TimepixCopyright©2005byRebeccaGoldsteinAllrightsreservedPrintedintheUnitedStatesofAmericaFirstEditionForinformationaboutpermissiontoreproduceselectionsfromthisbook,writetoPermissions,W.W.Norton&Company,Inc.,500Fift
6、hAvenue,NewYork,NY10110ManufacturingbytheHaddonCraftsmen,Inc.BookdesignbyChrisWelchProductionmanager:JuliaDruskinLibraryofCongressCataloging-in-PublicationDataGoldstein,Rebecca,date.Incompleteness:theproofandparadoxofKurtGodel/RebeccaGoldstein.—1sted.p.cm.—(Greatdisc
7、overies)Summary:"AnintroductiontothelifeandthoughtofKurtGodel,whotransformedourconceptionofmathforever"—Providedbypublisher.Includesbibliographicalreferencesandindex.ISBN0-393-05169-21.Godel,Kurt.2.Logicians—UnitedStates—Biography,3.Logicians—Austria—Biography.4.Proo
8、ftheory.I.Title.II.Series.QA29.G58G652005510'.92—dc222004023052W.W.Norton&Company,Inc.,500FifthAvenue,NewYork,N.Y.10110www.wwnorton