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