An inferential community: Poincaré’s mathematicians

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In Frank Zenker, Proceedings of the 9th International Conference of the Ontario Society for the Study of Argumentation (OSSA), May 18-21, 2011. pp. 156-166 (2011)
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Abstract

Inferential communities are communities using specific substantial argumentative schemes. The religious or scientific communities are examples. I discuss the status of the mathematical community as it appears through the position held by the French mathematician Henri Poincaré during his famous ar-guments with Russell, Hilbert, Peano and Cantor. The paper focuses on the status of complete induction and how logic and psychology shape the community of mathematicians and the teaching of mathematics.

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Author Profiles

Michel Dufour
Université Sorbonne-Nouvelle
John Woods
Illinois Mathematics And Science Acadamy

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References found in this work

Principles of Mathematics.Bertrand Russell - 1937 - New York,: Routledge.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
Carnap and logical truth.Willard van Orman Quine - 1954 - Synthese 12 (4):350--74.
La Science et l'Hypothèse.H. Poincaré - 1903 - Revue Philosophique de la France Et de l'Etranger 55:667-671.
La Science et l'Hypothèse.Henri Poincaré - 1902 - Revue de Métaphysique et de Morale 11 (1):1-1.

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