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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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Oxford University Press,
1998.
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| Subjects: | |
| Online Access: |
Full text (MFA users only) |
| ISBN: | 9780195352764 0195352769 1280470836 9781280470837 9786610470839 6610470839 0585245673 9780585245676 |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- 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.