Style et dualité chez Gilles-Gaston Granger
FR
Abstract
After a brief presentation of the original features of Granger's philosophical system, we propose to show that the notion of mathematical style cannot claim to be a substitute for the traditional philosophy of mathematics. To this end, we first indicate in what sense style depends on the principle of duality. We then attempt to show, by examining it through the lens of advances in mathematical logic, that the principle of duality does not keep its promises.
Keywords
épistémologie française contemporaine
logique et calcul des séquents
philosophie des mathématiques
principe de dualité
style mathématique
systèmes philosophiques
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Cite this article
Audureau, É. (2024). Style et dualité chez Gilles-Gaston Granger. M×Φ — Annals of Mathematics and Philosophy, 2(2), online version, 34 p.
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Gilles-Gaston Granger’s style and duality