Dordrecht, Netherland: Springer (2013)

Authors
Andrew Aberdein
Florida Institute of Technology
Ian Dove
University of Nevada, Las Vegas
Abstract
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. ​
Keywords argumentation  mathematical practice
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ISBN(s) 9400765347   9400765339   9789400765344   9789400765337   940178194X
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References found in this work BETA

Laws and Symmetry.Bas C. Van Fraassen - 1989 - Oxford, England: Oxford University Press.
The Uses of Argument.Stephen E. Toulmin - 1958 - Cambridge University Press.
Argumentation Schemes.Douglas Walton, Chris Reed & Fabrizio Macagno - 2008 - Cambridge and New York: Cambridge University Press.

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Audience Role in Mathematical Proof Development.Zoe Ashton - 2020 - Synthese 198 (Suppl 26):6251-6275.

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