Platonism and anti-Platonism in mathematics / Mark Balaguer.

Format:

Book

Author/Creator:

Balaguer, Mark, author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Platonists.

Physical Description:

1 online resource (228 p.)

Edition:

1st ed.

Place of Publication:

New York ; Oxford University Press, 2023.

Language Note:

English

Summary:

Demonstrating that there are no good arguments for or against mathematical Platonism, the author establishes that both Platonism and anti-Platonism are defensible views by solving the important problems associated with each of these views.

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

Notes:

Bibliography: p207-211. _ Includes index.

Previously issued in print: 1998.

Includes bibliographical references and index.

Derived record based on print version record and publisher information.

ISBN:

0-19-028405-6

0-19-773133-3

1-280-47083-6

9786610470839

0-19-535276-9

0-585-24567-3

OCLC:

476010942