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L'épistémologie mathématique de Gaston Bachelard

Résumé : The crucial role which Bachelard attributed to mathematics within his his- torical epistemology to understand the “new scientific spirit” at work at the beginning of the 20th century is well known. Nonetheless, the application to mathematics of the classical Bachelardian epistemological categories (obstacle, rupture, sanctioned history and lapsed history), which were first conceived for physics or chemistry, raises several issues. In this article, we aim to study Bachelard’s mathematical epistemology for itself. We will first point out the natural connection between the issue of a Bachelardian mathematical episte- mology and two classical topics, namely the relationship with Brunschvicg’s epistemology and the claim for discontinuity. In a second step, starting from the evolution of Bachelard’s thought towards a more committed rationalism, we will question what this evolution implies for mathematics by insisting on the notion of epistemological act sketched out by Bachelard. We will finally compare Bachelard’s and Cavaillès’ mathematical epistemology.
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https://hal-cnrs.archives-ouvertes.fr/hal-03670027
Contributor : Sébastien Maronne Connect in order to contact the contributor
Submitted on : Tuesday, May 17, 2022 - 10:38:17 AM
Last modification on : Tuesday, October 25, 2022 - 11:58:11 AM
Long-term archiving on: : Monday, October 3, 2022 - 2:19:36 PM

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  • HAL Id : hal-03670027, version 1

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Sébastien Maronne, Frédéric Patras. L'épistémologie mathématique de Gaston Bachelard. Bachelard Studies - Études bachelardiennes - Studi bachelardiani, A paraître. ⟨hal-03670027⟩

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