Philosophy of mathematics : a contemporary introduction to the world of proofs and pictures
 Author/Creator
 Brown, James Robert.
 Language
 English.
 Edition
 2nd ed.
 Imprint
 New York : Routledge, 2008.
 Physical description
 xiv, 245 p. : ill. ; 24 cm.
 Series
 Routledge contemporary introductions to philosophy.
Access
Available online

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Unknown
QA8.4 .B76 2008

Unknown
QA8.4 .B76 2008

Stacks

Unknown
QA8.4 .B76 2008

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QA8.4 .B76 2008
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. [226]235) and index.
 Contents

 Contents Preface and Acknowledgements Chapter 1: Introduction: The Mathematical Image Chapter 2: Platonism Chapter 3: Pictureproofs and Platonism Chapter 4: What is Applied Mathematics? Chapter 5: Hilbert and Godel Chapter 6: Knots and Notation Chapter 7: What is a Definition? Chapter 8: Constructive Approaches Chapter 9: Proofs, Pictures and Procedures in Wittgenstein Chapter 10: Computation, Proof and Conjecture Chapter 11: How to Refute the Continuum Hypothesis Chapter 12: Calling the Bluff Notes Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 In his longawaited 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 nonstandard 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.
(source: Nielsen Book Data)
Subjects
 Subject
 Mathematics > Philosophy.
Bibliographic information
 Publication date
 2008
 Responsibility
 James Robert Brown.
 Series
 Routledge contemporary introductions to philosophy
 ISBN
 9780415960489
 0415960487
 9780415960472
 0415960479
 9780203932964
 020393296X