Platonism and anti-Platonism in mathematics [[electronic resource] /] / Mark Balaguer

• Autore: Balaguer Mark
• Pubblicazione: New York, : Oxford University Press, 1998
• Descrizione fisica: 1 online resource (228 p.)
• Disciplina: 510/.1
• Soggetto topico: Mathematics - Philosophy; Platonists
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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; Notes ; BibliographyIndex; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Z
• Sommario/riassunto: A 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.
• Titolo autorizzato: Platonism and anti-Platonism in mathematics
• ISBN: 0-19-773133-3; 1-280-47083-6; 9786610470839; 0-19-535276-9; 0-585-24567-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910778716503321
• Lo trovi qui: Univ. Federico II