LEADER 02739nam 2200625Ia 450 001 9910778716503321 005 20230421034123.0 010 $a0-19-773133-3 010 $a1-280-47083-6 010 $a9786610470839 010 $a0-19-535276-9 010 $a0-585-24567-3 035 $a(CKB)111004366530184 035 $a(EBL)272480 035 $a(OCoLC)476010942 035 $a(SSID)ssj0000222554 035 $a(PQKBManifestationID)11215767 035 $a(PQKBTitleCode)TC0000222554 035 $a(PQKBWorkID)10173896 035 $a(PQKB)11275538 035 $a(Au-PeEL)EBL272480 035 $a(CaPaEBR)ebr10358396 035 $a(CaONFJC)MIL47083 035 $a(OCoLC)935260522 035 $a(MiAaPQ)EBC272480 035 $a(EXLCZ)99111004366530184 100 $a19970828d1998 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPlatonism and anti-Platonism in mathematics$b[electronic resource] /$fMark Balaguer 210 $aNew York $cOxford University Press$d1998 215 $a1 online resource (228 p.) 300 $aDescription based upon print version of record. 311 $a0-19-514398-1 311 $a0-19-512230-5 320 $aIncludes bibliographical references and index. 327 $aContents; 1 Introduction; 1. The Project of This Book; 2. Mathematical Platonism and Anti-Platonism; 3. Synopsis of the Book; ONE: Platonism; 2 The Epistemological Argument Against Platonism; 3 A New Platonist Epistemology; 4 Non-Uniqueness Embraced; TWO: Anti-Platonism; 5 The Fregean Argument Against Anti-Platonism; 6 Denying the Existence of Indispensable Applications: Toward a Nominalization of Quantum Mechanics; 7 Accounting for Indispensable Applications from a Fictionalist Point of View; THREE: Conclusions; 8 The Unsolvability of the Problem and a Kinder, Gentler Positivism; Notes 327 $aBibliographyIndex; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Z 330 $aA demonstration of the value of both platonism and anti-platonism in the solution of mathematical problems. The author solves the important problems associated with both of the views, and demonstrates that it is inherently impossible for us to have a valid argument for or against mathematical platonism. 606 $aMathematics$xPhilosophy 606 $aPlatonists 615 0$aMathematics$xPhilosophy. 615 0$aPlatonists. 676 $a510/.1 700 $aBalaguer$b Mark$01503505 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778716503321 996 $aPlatonism and anti-Platonism in mathematics$93731954 997 $aUNINA