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OverviewA 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 DetailsAuthor: Øystein LinneboPublisher: Princeton University Press Imprint: Princeton University Press Volume: 15 Dimensions: Width: 14.00cm , Height: 2.30cm , Length: 21.60cm Weight: 0.369kg ISBN: 9780691161402ISBN 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 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 ContentsAcknowledgments 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 199ReviewsLinnebo'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 InformationOystein 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). Tab Content 6Author Website:Countries AvailableAll regions |