M×Φ

Annals of Mathematics and Philosophy

Bachelard et Vuillemin, philosophes non-cartésiens ? Deux critiques des natures simples

FR

David Thomasette

Abstract

Bachelard and Vuillemin both criticised the Cartesian method, with particular emphasis on the central concept of simple nature. Yet, despite their apparent convergence, these criticisms turn out to be quite distinct: Bachelard gives these natures an ontological dimension and endows them with absolute self-evidence, while Vuillemin proposes an intuitionist and critical interpretation. We show that the first of these analyses is debatable and does not truly reach Cartesianism, and we assess the philosophical implications of the second, which sets Vuillemin on the path of decisionism.

Keywords Descartes Vuillemin Bachelard épistémologie française intuitionnisme algèbre
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Cite this article

Thomasette, D. (2024). Bachelard et Vuillemin, philosophes non-cartésiens ? Deux critiques des natures simples. M×Φ — Annals of Mathematics and Philosophy, 2(2), online version, 18 p.

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