Philosophy of Mathematics

Author:   Øystein Linnebo
Publisher:   Princeton University Press
Volume:   15
ISBN:  

9780691161402


Pages:   216
Publication Date:   30 May 2017
Format:   Hardback
Availability:   Out of stock   Availability explained
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Philosophy of Mathematics


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Overview

A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphy

Full Product Details

Author:   Øystein Linnebo
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   15
Dimensions:   Width: 14.00cm , Height: 2.30cm , Length: 21.60cm
Weight:   0.369kg
ISBN:  

9780691161402


ISBN 10:   0691161402
Pages:   216
Publication Date:   30 May 2017
Audience:   College/higher education ,  Professional and scholarly ,  General/trade ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Language:   English

Table of Contents

Acknowledgments vii Introduction 1 1 Mathematics as a Philosophical Challenge 4 2 Frege's Logicism 21 3 Formalism and Deductivism 38 4 Hilbert's Program 56 5 Intuitionism 73 6 Empiricism about Mathematics 88 7 Nominalism 101 8 Mathematical Intuition 116 9 Abstraction Reconsidered 126 10 The Iterative Conception of Sets 139 11 Structuralism 154 12 The Quest for New Axioms 170 Concluding Remarks 183 Bibliography 189 Index 199

Reviews

Linnebo's slender volume is an admirable addition to the many existing books on the philosophy of mathematics. It is clear, concise, and well written. . . . All in all, this is an excellent introduction to the philosophy of mathematics and should be seriously considered by any individual interested in the subject. --Choice [This book] is very, very good. Superbly clear, concise, well organised, it gives not only a very accessible introduction but also takes the reader all the way to the cutting edge of what philosophers are doing in the philosophy of mathematics. Above all, Linnebo writes as a fully engaged philosopher and makes his preferred choice of philosophical position clear. But this is no mere polemic: I felt he clearly and forcefully presents the strengths and weaknesses of all the philosophical positions he discusses. --Henri Laurie, Mathemafrica


[This book] is very, very good. Superbly clear, concise, well organised, it gives not only a very accessible introduction but also takes the reader all the way to the cutting edge of what philosophers are doing in the philosophy of mathematics. Above all, Linnebo writes as a fully engaged philosopher and makes his preferred choice of philosophical position clear. But this is no mere polemic: I felt he clearly and forcefully presents the strengths and weaknesses of all the philosophical positions he discusses. --Henri Laurie, Mathemafrica


[This book] is very, very good. Superbly clear, concise, well organised, it gives not only a very accessible introduction but also takes the reader all the way to the cutting edge of what philosophers are doing in the philosophy of mathematics. Above all, Linnebo writes as a fully engaged philosopher and makes his preferred choice of philosophical position clear. But this is no mere polemic: I felt he clearly and forcefully presents the strengths and weaknesses of all the philosophical positions he discusses.---Henri Laurie, Mathemafrica


Linnebo's slender volume is an admirable addition to the many existing books on the philosophy of mathematics. It is clear, concise, and well written. . . . All in all, this is an excellent introduction to the philosophy of mathematics and should be seriously considered by any individual interested in the subject. --Choice This is a thought-provoking book, and is a useful addition to the textbook literature on this subject. --MAA Reviews This is a good introduction to the philosophy of mathematics clear and concise, and with original observations and a coherent point of view. John P. Burgess, Princeton University This is an excellent introduction to the philosophy of mathematics, with clear and careful coverage of both traditional topics and cutting-edge contemporary debates. Roy T. Cook, University of Minnesota This book provides a nice lay of the land for anyone interested in contemporary philosophy of mathematics. ---Gregory Lavers, Philosophy Mathematica [This book] is very, very good. Superbly clear, concise, well organised, it gives not only a very accessible introduction but also takes the reader all the way to the cutting edge of what philosophers are doing in the philosophy of mathematics. Above all, Linnebo writes as a fully engaged philosopher and makes his preferred choice of philosophical position clear. But this is no mere polemic: I felt he clearly and forcefully presents the strengths and weaknesses of all the philosophical positions he discusses. ---Henri Laurie, Mathemafrica


Author Information

Oystein Linnebo is professor of philosophy at the University of Oslo, and previously held positions in Bristol, London, and Oxford. He is the coeditor of New Waves in the Philosophy of Mathematics and the author of Thin Objects: An Abstractionist Approach (forthcoming).

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