02739nam 2200625Ia 450 991077871650332120230421034123.00-19-773133-31-280-47083-697866104708390-19-535276-90-585-24567-3(CKB)111004366530184(EBL)272480(OCoLC)476010942(SSID)ssj0000222554(PQKBManifestationID)11215767(PQKBTitleCode)TC0000222554(PQKBWorkID)10173896(PQKB)11275538(Au-PeEL)EBL272480(CaPaEBR)ebr10358396(CaONFJC)MIL47083(OCoLC)935260522(MiAaPQ)EBC272480(EXLCZ)9911100436653018419970828d1998 uy 0engur|n|---|||||txtccrPlatonism and anti-Platonism in mathematics[electronic resource] /Mark BalaguerNew York Oxford University Press19981 online resource (228 p.)Description based upon print version of record.0-19-514398-1 0-19-512230-5 Includes bibliographical references and index.Contents; 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; NotesBibliographyIndex; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; ZA 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.MathematicsPhilosophyPlatonistsMathematicsPhilosophy.Platonists.510/.1Balaguer Mark1503505MiAaPQMiAaPQMiAaPQBOOK9910778716503321Platonism and anti-Platonism in mathematics3731954UNINA