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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- About this book
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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)
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How and Why Mathematics is Unique as a Social Practice
Pages 3-23
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Mathematics As Objective Knowledge And As Human Practice
Pages 25-41
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The Comparison Of Mathematics With Narrative
Pages 43-59
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Theory of Mind, Social Science, and Mathematical Practice
Pages 61-79
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Incommensurability In Mathematics
Pages 83-105
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Table of contents (13 chapters)
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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
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- 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
