The Uses of Argument in Mathematics

dc.creatorAberdein, Andrew
dc.date2005-04-06
dc.date.accessioned2026-07-07T06:33:45Z
dc.date.available2026-07-07T06:33:45Z
dc.descriptionStephen 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.
dc.description10 pages, 5 figures. To be presented at the Ontario Society for the Study of Argumentation Conference, McMaster University, May 2005 and LOGICA 2005, Hejnice, Czech Republic, June 2005
dc.identifierhttps://arxiv.org/abs/math/0504090
dc.identifierhttp://arxiv.org/abs/math/0504090
dc.identifierArgumentation, 19(3), 2005, pp. 287-301.
dc.identifierdoi:10.1007/s10503-005-4417-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99298
dc.subjectHistory and Overview
dc.subject00A35 (Primary); 00A30, 03A05 (Secondary)
dc.titleThe Uses of Argument in Mathematics
dc.typetext

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