The Argument of Mathematics

Dordrecht, Netherland: Springer (2013)
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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. ​

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Author Profiles

Andrew Aberdein
Florida Institute of Technology
Ian Dove
University of Nevada, Las Vegas

References found in this work

Laws and symmetry.Bas C. Van Fraassen - 1989 - New York: Oxford University Press.
Argumentation schemes.Douglas Walton, Chris Reed & Fabrizio Macagno - 2008 - New York: Cambridge University Press. Edited by Chris Reed & Fabrizio Macagno.

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