Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures

Author:   James Robert Brown
Publisher:   Taylor & Francis Ltd
Edition:   2nd edition
Volume:   10
ISBN:  

9780415960472


Pages:   250
Publication Date:   15 January 2008
Format:   Paperback
Availability:   In Print   Availability explained
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Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures


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Overview

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.

Full Product Details

Author:   James Robert Brown
Publisher:   Taylor & Francis Ltd
Imprint:   Routledge
Edition:   2nd edition
Volume:   10
Dimensions:   Width: 15.60cm , Height: 1.40cm , Length: 23.40cm
Weight:   0.384kg
ISBN:  

9780415960472


ISBN 10:   0415960479
Pages:   250
Publication Date:   15 January 2008
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface and Acknowledgements 1. Introduction: The Mathematical Image 2. Platonism 3. Picture-Proofs and Platonism 4. What is Applied Mathematics? 5. Hilbert and Gödel 6. Knots and Notation 7. What is a Definition? 8. Constructive Approaches 9. Proofs, Pictures and Procedures in Wittgenstein 10. Computation, Proof and Conjecture 11. How to Refute the Continuum Hypothesis 12. Calling the Bluff. Notes. Bibliography. Index

Reviews

Extraordinary! A brilliant, important book. Summing up: Highly recommended. --M. Schiff, CHOICE !The book has been written in a very clear, lively way, it is a pleasure to read. It is very accessible, even entertaining, and the author is very good in explaining issues without technicalities. ! Summarizing: a very elegant, accessible and up-to-date book on the philosophy of mathematics, not only very appropriate for beginners, but also a must for experts. --H.C.M. de Swart, Zentralblatt MATH 1171 Praise for the First Edition: This book is a breath of fresh air for undergraduate philosophy of mathematics. Very accessible and even entertaining, Brown explains most of the issues without technicalities. --Janet Folina, Macalester College A wonderful introduction to the philosophy of mathematics. It's lively, accessible, and, above all, a terrific read. It would make an ideal text for an undergraduate course on the philosophy of mathematics; indeed, I recommend it to anyone interested in the philosophy of mathematics -- even specialists in the area can learn from this book. --Mark Colyvan, University of Sydney


Author Information

James Robert Brown is Professor of Philosophy at the University of Toronto, Canada.

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