M×Φ

Annals of Mathematics and Philosophy

Bachelard and Vuillemin, non-Cartesian philosophers? Two criticisms of simple natures

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Both Bachelard and Vuillemin criticised the Cartesian method, with particular emphasis on the central concept of simple nature. However, 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 really reach Cartesianism, and we measure the philosophical implications of the second, which puts Vuillemin on the track of decisionism.

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Thomasette, D. (2024). Bachelard and Vuillemin, non-Cartesian philosophers? Two criticisms of simple natures. M×Φ — Annals of Mathematics and Philosophy, 2(2), 91–107.

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