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1、SecondPhilosophyThispageintentionallyleftblankSecondPhilosophyAnaturalisticmethodPenelopeMaddy11GreatClarendonStreet,Oxfordox26dpOxfordUniversityPressisadepartmentoftheUniversityofOxford.ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship,andeducationbypub
2、lishingworldwideinOxfordNewYorkAucklandCapeTownDaresSalaamHongKongKarachiKualaLumpurMadridMelbourneMexicoCityNairobiNewDelhiShanghaiTaipeiTorontoWithofficesinArgentinaAustriaBrazilChileCzechRepublicFranceGreeceGuatemalaHungaryItalyJapanPolandPortugalSingaporeSouthKoreaSwitz
3、erlandThailandTurkeyUkraineVietnamOxfordisaregisteredtrademarkofOxfordUniversityPressintheUKandincertainothercountriesPublishedintheUnitedStatesbyOxfordUniversityPressInc.,NewYorkPenelopeMaddy2007ThemoralrightsoftheauthorhavebeenassertedDatabaserightOxfordUniversityPress(
4、maker)Firstpublished2007Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthepriorpermissioninwritingofOxfordUniversityPress,orasexpresslypermittedbylaw,orundertermsagreedwiththeappropriatereprograp
5、hicsrightsorganization.EnquiriesconcerningreproductionoutsidethescopeoftheaboveshouldbesenttotheRightsDepartment,OxfordUniversityPress,attheaddressaboveYoumustnotcirculatethisbookinanyotherbindingorcoverandyoumustimposethesameconditiononanyacquirerBritishLibraryCataloguing
6、inPublicationDataDataavailableLibraryofCongressCataloginginPublicationDataDataavailableTypesetbyLaserwordsPrivateLimited,Chennai,IndiaPrintedinGreatBritainonacid-freepaperbyBiddlesLtd,King’sLynn,NorfolkISBN978–0–19–927366–910987654321ForDavidThispageintentionallyleftblankP
7、refaceTherootsofthisprojecttracetomypreviousbook—NaturalisminMath-ematics—intwoways,oneforeseenandonenot.ThefirstisimplicitinNaturalismitself,wheretypically‘philosophical’questionsaboutmathemat-icsareexplicitlysetasideinsingle-mindedpursuitofpurelymethodologicalconcerns(see
8、[1997],p.203).Iintendedfromthestarttoreturntothesebroaderissues,anundertakingthatseemedto