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Document Details : Title: Jean Cavaillès' Notion of Intuition Author(s): ARIOTTO, Andrea Journal: Logique et Analyse Volume: 266 Date: 2024-2025 Pages: 229-251 DOI: 10.2143/LEA.266.0.3294839 Abstract : This paper discusses the notion of intuition within Cavaillès’ philosophy of mathematics. I start from the article Transfini et continu in order to illustrate Cavaillès’ critique of the Kantian conception of intuition found in the School of Borel. Then, I turn to the link between intuition and historicity of mathematics exploring two fundamental sources for Cavaillès, namely Brunschvicg’s 1912 book Les étapes de la philosophie mathématique and Dedekind’s 1854 inaugural lecture in Göttingen. With these elements in mind, I try to elucidate Cavaillès’ discussion of Hilbert’s philosophy of the sign in Méthode axiomatique et formalisme as proposing a redefinition of the Kantian schematism allowing to overcome the obstacles posed by the Kantian conception of intuition. |
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