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Towards a Philosophy of Real Mathematics

$38.00 ( ) USD

  • Date Published: January 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511030604

$ 38.00 USD ( )
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About the Authors
  • David Corfield provides a variety of innovative approaches to research in the philosophy of mathematics. His study ranges from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics to the use of analogy; the prospects for a Bayesian confirmation theory; the notion of a mathematical research program; and the ways in which new concepts are justified. This highly original book will challenge philosophers as well as mathematicians to develop the broadest and most complete philosophical resources for research in their disciplines.

    • Accessibly and engagingly written
    • Uses many examples and case studies as illustrations
    • Shows alternative ways in which mathematics can be studied philosophically
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    Reviews & endorsements

    "...this is a fine book. Recommended." Choice

    "This is an important book that I would recommend to anybody interested in practice-oriented philosophy of mathematics." Mathematical Reviews

    "...Corfield's book can be greeted as a welcome addition to an emerging discussion." MAA Reviews, Dennis Lomas

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    Product details

    • Date Published: January 2005
    • format: Adobe eBook Reader
    • isbn: 9780511030604
    • contains: 1 table
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Introduction: a role for history
    Part I. Human and Artificial Mathematicians:
    2. Communicating with automated theorem provers
    3. Automated conjecture formation
    4. The role of analogy in mathematics
    Part II. Plausibility, Uncertainty and Probability:
    5. Bayesianism in mathematics
    6. Uncertainty in mathematics and science
    Part III. The Growth of Mathematics:
    7. Lakatos's philosophy of mathematics
    8. Beyond the methodology of mathematical research programmes
    9. The importance of mathematical conceptualisation
    Part IV. The Interpretation of Mathematics:
    10. Higher dimensional algebra
    Appendix
    Bibliography
    Index.

  • Author

    David Corfield, University of Oxford
    David Corfield holds a Junior Lectureship in Philosophy of Science at the University of Oxford.

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