New Waves in Philosophy of Mathematics

Paperback | November 15, 2009

EditorOtavio Bueno

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In this book, thirteen promising young researchers write on what they take to be the right philosophical account of mathematics and discuss where the philosophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosophical logic.

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In this book, thirteen promising young researchers write on what they take to be the right philosophical account of mathematics and discuss where the philosophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosoph...

OTAVIO BUENO is Professor of Philosophy at the University of Miami.OYSTEIN LINNEBO is Lecturer in Philosophy at the University of Bristol, UK.

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Format:PaperbackDimensions:320 pages, 8.5 × 5.5 × 0.72 inPublished:November 15, 2009Publisher:Palgrave MacmillanLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0230219438

ISBN - 13:9780230219434

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Table of Contents

Series Preface
Acknowledgements
Notes on Contributors
Introduction: O.Bueno & Ø.Linnebo
PART I: REASSESSING THE ORTHODOXY IN THE PHILOSOPHY OF MATHEMATICS
New Waves on an Old Beach: Neo-Fregean Philosophy of Mathematics Today; R.Cook
Reducing Arithmetic to Set Theory; A.Paseau
PART II: THE QUESTION OF REALISM IN MATHEMATICS
Mathematical Fictionalism; O.Bueno
Truth in Mathematics: The Question of Pluralism; P.Koellner
‘Algebraic’ Approaches to Mathematics; M.Leng
PART III: MATHEMATICAL PRACTICE AND THE METHODOLOGY OF MATHEMATICS
Mathematical Accidents and the End of Explanation; A.Baker
Applying Inconsistent Mathematics; M.Colyvan
Towards a Philosophy of Applied Mathematics; C.Pincock
PART IV: MATHEMATICAL LANGUAGE AND THE PSYCHOLOGY OF MATHEMATICS
Formal Tools and the Philosophy of Mathematics; T.Hofweber
The Individuation of the Natural Numbers; Ø.Linnebo
Towards a Trivialist Account of Mathematics; A.Rayo
PART V: FROM PHILOSOPHICAL LOGIC TO THE PHILOSOPHY OF MATHEMATICS
On Formal and Informal Provability; H.Leitgeb
Quantification without a Domain; G.Uzquiano
Index