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Synthese Library

Mathematical Epistemology and Psychology

Authors: Beth, E.W., Piaget, J.

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  • ISBN 978-94-017-2193-6
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About this book

One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac­ tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth's approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon­ strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote­ lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 181,89 €
price for Spain (gross)
  • ISBN 978-94-017-2193-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 228,79 €
price for Spain (gross)
  • ISBN 978-90-277-0071-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 228,79 €
price for Spain (gross)
  • ISBN 978-90-481-8328-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Epistemology and Psychology
Authors
Translated by
Mays, W.
Series Title
Synthese Library
Series Volume
12
Copyright
1974
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-2193-6
DOI
10.1007/978-94-017-2193-6
Hardcover ISBN
978-90-277-0071-1
Softcover ISBN
978-90-481-8328-9
Series ISSN
0166-6991
Edition Number
1
Number of Pages
XXI, 326
Additional Information
Originally published in French
Topics

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