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The epistemology of the mathematical “dedans” in Albert Lautman’s early writings

2024 · M×Φ — Annals of Mathematics and Philosophy · Vol 2, pp. 29-56 · 0 citations

Abstract

The youthful writings of Albert Lautman are examined, in particular the Rapport Bouglé of 1935, where the major conceptual nucleus of his subsequent research path aimed at entering 'inside' the contents of the sciences are already identified; it is no coincidence that, from the beginning, the philosophical effort has been directed to understand on the one hand the singularity of mathematics and on the other, to clarify 'les enjeux' of the close connection between mathematics and physics, 'l'unité physico-mathématique'. And all this finds its reasons in Lautman's having been a faithful interpreter of Hermann Weyl and of a certain Hilbert; and developing some of their points has allowed him to give an autonomous contribution to the philosophie mathématique, a chapter of epistemological thought produced in the French-speaking area, unique in its kind and still little known.

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