Gilles-Gaston Granger’s style and duality
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Abstract
After a brief presentation of the original features of Granger's philosophical system, we propose to show that the notion of mathematical style should not be seen as a substitute for the traditional philosophy of mathematics. To this end, we first show how style depends on the principle of duality. We then try to show, by examining it through the sieve of progress in mathematical logic, that the principle of duality does not keep its promises.
Keywords
Contemporary French epistemology
logic and sequent calculus
philosophy of mathematics
principle of duality
mathematical style
philosophical systems
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Cite this article
Audureau, É. (2024). Gilles-Gaston Granger’s style and duality. M×Φ — Annals of Mathematics and Philosophy, 2(2), 57–89.
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Read in French :
Style et dualité chez Gilles-Gaston Granger