Philosophy of mathematics : a contemporary introduction to the world of proofs and pictures
Author(s)
Bibliographic Information
Philosophy of mathematics : a contemporary introduction to the world of proofs and pictures
(Routledge contemporary introductions to philosophy)
Routledge, 2008
2nd ed
- : hbk
- : pbk
Available at 11 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
1st published in 1999 by Routledge
Includes bibliographical references (p. [226]-235) and index
Description and Table of Contents
Description
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.
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 Goedel 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
by "Nielsen BookData"