The Uses of Argument in Mathematics

Details The Uses of Argument in Mathematics The Uses of Argument in Mathematics

2005-04-06

arxiv.org/abs/math/0504090v1

Argumentation, 19(3), 2005, pp. 287-301.

Mathematics

History and Overview

10 pages, 5 figures. To be presented at the Ontario Society for the Study of Argumentation Conference, McMaster University, Ma

Scientific paper

10.1007/s10503-005-4417-8

Stephen Toulmin once observed that `it has never been customary for philosophers to pay much attention to the rhetoric of mathematical debate'. Might the application of Toulmin's layout of arguments to mathematics remedy this oversight? Toulmin's critics fault the layout as requiring so much abstraction as to permit incompatible reconstructions. Mathematical proofs may indeed be represented by fundamentally distinct layouts. However, cases of genuine conflict characteristically reflect an underlying disagreement about the nature of the proof in question.

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