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Item Details
Title: THE ARGUMENT OF MATHEMATICS
By: Andrew Aberdein (Editor), Ian J. Dove (Editor)
Format: Hardback

List price: £119.99


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ISBN 10: 9400765339
ISBN 13: 9789400765337
Publisher: SPRINGER
Pub. date: 30 June, 2013
Edition: 2013 ed.
Series: Logic, Epistemology, and the Unity of Science 30
Pages: 393
Description: This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification.
Synopsis: Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations.The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. ?
Illustrations: X, 393 p.
Publication: Netherlands
Imprint: Springer
Returns: Returnable
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