Dialogue Types, Argumentation Schemes, and Mathematical Practice: Douglas Walton and Mathematics

Journal of Applied Logics 8 (1):159-182 (2021)
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Abstract

Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.

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Andrew Aberdein
Florida Institute of Technology

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Deep Disagreement in Mathematics.Andrew Aberdein - 2023 - Global Philosophy 33 (1):1-27.

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References found in this work

How to do things with words.John Langshaw Austin - 1962 - Oxford [Eng.]: Clarendon Press. Edited by Marina Sbisá & J. O. Urmson.
The Enigma of Reason.Dan Sperber & Hugo Mercier (eds.) - 2017 - Cambridge, MA, USA: Harvard University Press.
The elements of moral philosophy.James Rachels & Stuart Rachels - 2015 - [Dubuque]: McGraw-Hill Education. Edited by James Rachels.

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