Logic, Epistemology, and the Unity of Science

Perspectives on Mathematical Practices

Bringing Together Philosophy of Mathematics, Sociology of Mathematics, and Mathematics Education

Editors: van Kerkhove, Bart, van Bendegem, Jean Paul (Eds.)

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  • ISBN 978-1-4020-5034-3
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About this book

Philosophy of mathematics today has transformed into a very complex network of diverse ideas, viewpoints, and theories. Sometimes the emphasis is on the "classical" foundational work (often connected with the use of formal logical methods), sometimes on the sociological dimension of the mathematical research community and the "products" it produces, then again on the education of future mathematicians and the problem of how knowledge is or should be transmitted from one generation to the next.

The editors of this book felt the urge, first of all, to bring together the widest variety of authors from these different domains and, secondly, to show that this diversity does not exclude a sufficient number of common elements to be present. In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.

Table of contents (13 chapters)

  • How and Why Mathematics is Unique as a Social Practice

    Azzouni, Jody

    Pages 3-23

  • Mathematics As Objective Knowledge And As Human Practice

    Glas, Eduard

    Pages 25-41

  • The Comparison Of Mathematics With Narrative

    Thomas, R.S.D.

    Pages 43-59

  • Theory of Mind, Social Science, and Mathematical Practice

    Restivo, Sal

    Pages 61-79

  • Incommensurability In Mathematics

    Bueno, Otávio

    Pages 83-105

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4020-5034-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4020-5033-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-90-481-7260-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Perspectives on Mathematical Practices
Book Subtitle
Bringing Together Philosophy of Mathematics, Sociology of Mathematics, and Mathematics Education
Editors
  • Bart van Kerkhove
  • Jean Paul van Bendegem
Series Title
Logic, Epistemology, and the Unity of Science
Series Volume
5
Copyright
2007
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-5034-3
DOI
10.1007/1-4020-5034-8
Hardcover ISBN
978-1-4020-5033-6
Softcover ISBN
978-90-481-7260-3
Series ISSN
2214-9775
Edition Number
1
Number of Pages
XVI, 242
Topics