New Waves in Philosophy of Mathematics

O. Bueno, Ø. Linnebo

$191.95 $153.86

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English

Palgrave
04 January 2010

Philosophy; Philosophy: epistemology & theory of knowledge; Philosophy: logic; Philosophy of mathematics; History of mathematics

Series: New Waves in Philosophy

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.

Edited by: O. Bueno, Ø. Linnebo
Imprint: Palgrave
Country of Publication: United Kingdom
Dimensions: Height: 216mm, Width: 140mm, Spine: 18mm
Weight: 433g
ISBN: 9780230219434
ISBN 10: 0230219438
Series: New Waves in Philosophy
Pages: 344
Publication Date: 04 January 2010
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

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

OT VIO BUENO is Professor of Philosophy at the University of Miami, USA. He has held visiting professorships or fellowships at Princeton University, University of York (in the UK), University of Leeds, and University of Sao Paulo. His main research interests are in the philosophy of mathematics, philosophy of science, and philosophy of logic. A YSTEIN LINNEBO is a Reader in Philosophy at the University of Bristol, UK. He obtained a PhD in Philosophy from Harvard University in 2002 and an MA in Mathematics from the University of Oslo in 1995. His main research interests are in the philosophies of logic and mathematics, metaphysics and the philosophy of language.

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New Waves in Philosophy of Mathematics

O. Bueno, Ø. Linnebo

$191.95 $153.86

Paperback

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