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Awards
OverviewFull Product DetailsAuthor: Penelope Maddy (Professor of Philosophy, Professor of Philosophy, University of California, Irvine)Publisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 14.40cm , Height: 2.00cm , Length: 22.40cm Weight: 0.473kg ISBN: 9780198235736ISBN 10: 0198235739 Pages: 264 Publication Date: 13 November 1997 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order ![]() Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPART I: THE PROBLEM 1: The origins of set theory 2: Set theory as a foundation 3: The standard axioms 4: Independent questions 5: New axiom candidates 6: V = L PART II: REALISM 1: Godelian realism 2: Quinean realism 3: Set-theoretic realism 4: A realist's case against V = L 5: Hints of trouble 6: Indispensability and scientific practice 7: Indispensability and mathematical practic PART III: NATURALISM 1: Wittgensteinian anti-philosophy 2: A second Godelian theme 3: Quinean naturalism 4: Mathematical naturalism 5: The problem revisited 6: A naturalist's case against V = L Conclusion Bibliography IndexReviews`presentation is clear and concise ... historically informed and comprehensive.' A.M.Coyne, MATH, Vol.931 `An excellent book ... The philosopher's task is not to provide external criticism, but rather to clarify debates in this so-called mathematical community. And Ms Maddy makes some fascinating (and very technical) steps in this direction.' The Economist Review `Maddy's important new idea - mathematical naturalism - is a view about the proper relationship between mathematics and philosophy ... This is a powerful book: wonderfully erudite and a pleasure to read. There is no better introduction to the methodology of modern set theory.' Gideon Rosen, British Journal for the Philosophy of Science 50 (1999) `The book is beautifully written, tightly argued and makes compelling reading. I believe the position Maddy introduces and defends - set theoretic naturalism - is a significant and original addition to the philosophy of mathematics landscape, and one that will certainly attract a great deal of attention ... In summary this a very important book covering some fascinating terrain on the border between philosophy and mathematics. The book will thus be of considerable interest to philosophers of mathematics and mathematicians alike. Indeed, Maddy's engaging style and clear explanations of the more technical material makes this book, like her last, accessible and of interest to the non-specialist as well. Naturalism in Mathematics should enjoy a wide readership and it will no doubt promote fruitful debate on the many important issues it raises.' Mark Colyvan, University of Tasmania, Mind, Vol 108, no 431, July 1999 An excellent book. The Economist (UK), February 2000 The philosopher's task is not to provide external critisism, but rather to clarify debates in this so-called mathematical community. And Ms Maddy makes some fascinating (and very technical) steps in this direction. The Economist (UK), February 2000 `The central problem discussed in the book concerns the foundations of contemporary set theory. Drawing on detailed historical studies on the origins and development of set theory... she shows that the ensuing methodological debates have been settled on mathematical grounds and not on the basis of philosophical considerations.' Eduard Glas, Mathematical Reviews. Winner of the Lakatos Award 2002 Author InformationPenelope Maddy is Professor of Philosophy at the University of California, Irvine, having previously held positions at the University of Illinois, Chicago, and the University of Notre Dame, Indiana. Tab Content 6Author Website:Countries AvailableAll regions |