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...
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
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.