1.

Record Nr.

UNINA9910812998303321

Autore

Balaguer Mark

Titolo

Platonism and anti-Platonism in mathematics / / Mark Balaguer

Pubbl/distr/stampa

New York, : Oxford University Press, 1998

ISBN

0-19-028405-6

0-19-773133-3

1-280-47083-6

9786610470839

0-19-535276-9

0-585-24567-3

Edizione

[1st ed.]

Descrizione fisica

1 online resource (228 p.)

Collana

Oxford scholarship online

Disciplina

510/.1

Soggetti

Mathematics - Philosophy

Platonists

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliography: p207-211. _ Includes index.

Previously issued in print: 1998.

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

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.