Location

University of Windsor

Document Type

Paper

Keywords

inferential community, Poincaré, logicism, complete induction, intuition, creativity, education.

Start Date

18-5-2011 9:00 AM

End Date

21-5-2011 5:00 PM

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.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Included in

Philosophy Commons

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May 18th, 9:00 AM May 21st, 5:00 PM

An inferential community: Poincaré’s mathematicians

University of Windsor

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.