Andrew Aberdein and Ian J. Dove (eds): The Argument of Mathematics (Logic, Epistemology and the Unity of Science, Vol. 30)

Argumentation 28 (2):245-258 (2014)
Abstract
Post-war argumentation theorists have tended to regard argumentation as one thing and mathematical proof as another. Perelman (1958, 1969), for example, defined the word ‘argumentation’ stipulatively as a contrast term to ‘demonstration’: whereas mathematical reasoning as theorized by modern formal logic, he writes, is a matter of deducing theorems from axioms in accordance with stipulated rules of transformation, argumentation aims at gaining the adherence of minds (Perelman 1969, pp. 1–2). Toulmin (1958) contrasted his “jurisprudential model” of argument, according to which the validity of an argument is a matter of its following proper procedure, with a “geometrical model” according to which validity is a matter of its having a proper shape comparable to the shape of a triangle (Toulmin 1958, p. 95). Johnson (2000, pp. 231–232) argues explicitly that a mathematical proof is not an argument.In the collection under review, Andrew Aberdein and Ian Dove have assembled a number of recent
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DOI 10.1007/s10503-014-9314-6
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References found in this work BETA

The Uses of Argument.Stephen E. Toulmin - 1958 - Cambridge University Press.
The New Rhetoric: A Treatise on Argumentation.Chaïm Perelman - 1969 - Notre Dame, [Ind.]University of Notre Dame Press.
The Derivation-Indicator View of Mathematical Practice.Jody Azzouni - 2004 - Philosophia Mathematica 12 (2):81-106.

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