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Platonism and Anti-Platonism in Mathematics.

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 platon...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Balaguer, Mark
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Oxford University Press, 1998.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.