Proofs and Refutations: The Logic of Mathematical Discovery

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ISBN 10: 0521290384 ISBN 13: 9780521290388
Published by Cambridge University Press, 1976
Used Soft cover

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A book that has been read but is in overall good condition. Very minimal wear damage to the cover including scuff marks, but no major holes or tears. The dust jacket if applicable may not be included. Binding may have minimal wear. The majority of pages are undamaged with minimal creasing or tearing. May have minimal pencil underlining and or highlighting of text and possible small amounts of writing. No missing pages. May have some light marks on the page edges or a remainder mark. May have pale yellow yellowed pages. Fast Shipping, safe and secure mailers. Stock photo used. Seller Inventory # FWV.0521290384.G

  • 4.28 out of 5 stars
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Synopsis:

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

Book Description: A novel introduction to the philosophy of mathematics, mostly in the form of a discussion between a group of students and their teacher. It combats the positivist picture and develops a much richer, more dramatic progression.

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Bibliographic Details

Title: Proofs and Refutations: The Logic of ...
Publisher: Cambridge University Press
Publication Date: 1976
Binding: Soft cover
Condition: good

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