New Waves in Philosophy of Mathematics

by Bueno, Otavio; Linnebo, Oystein

• ISBN13: 9780230219434
• ISBN10: 0230219438
• Format: Paperback
• Copyright: 2009-11-15
• Publisher: Palgrave Macmillan

Summary

Thirteen up-and-coming researchers in the philosophy of mathematics have been invited to write on what they take to be the right philosophical account of mathematics, examining along the way where they think the philosophy of mathematics is and ought to be going. As one might expect, a rich and diverse picture emerges. Some broader tendencies can nevertheless be detected: there is increasing attention to the practice, language, and psychology of mathematics, a move to reassess the orthodoxy, as well as inspiration from philosophical logic. Book jacket.

Author Biography

OTAVIO BUENO is Professor of Philosophy at the University of Miami.

OYSTEIN LINNEBO is Lecturer in Philosophy at the University of Bristol, UK.

Table of Contents

Series Editors' Foreword	p. vii
Acknowledgements	p. viii
List of Contributors	p. ix
Philosophy of Mathematics: Old and New	p. 1
Reassessing the Orthodoxy in the Philosophy of Mathematics
New Waves on an Old Beach: Fregean Philosophy of Mathematics Today	p. 13
Reducing Arithmetic to Set Theory	p. 35
The Question of Realism in Mathematics
Mathematical Fictionalism	p. 59
Truth in Mathematics: The Question of Pluralism	p. 80
ôAlgebraicö Approaches to Mathematics	p. 117
Mathematical Practice and the Methodology of Mathematics
Mathematical Accidents and the End of Explanation	p. 137
Applying Inconsistent Mathematics	p. 160
Towards a Philosophy of Applied Mathematics	p. 173
Mathematical Language and the Psychology of Mathematics
Formal Tools and the Philosophy of Mathematics	p. 197
The Individuation of the Natural Numbers	p. 220
Toward a Trivialist Account of Mathematics	p. 239
From Philosophical Logic to the Philosophy of Mathematics
On Formal and Informal Provability	p. 263
Quantification Without a Domain	p. 300
Index	p. 324
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