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Document Details : Title: The Significance of Russell's Antinomy for a Phenomenology of Mathematical Intuition Author(s): BARATELLI, Gabriele Journal: Logique et Analyse Volume: 266 Date: 2024-2025 Pages: 197-212 DOI: 10.2143/LEA.266.0.3294837 Abstract : The main thesis of this paper is that Russell’s antinomy plays a crucial role in the development of a phenomenological account of mathematics. I reach this conclusion by introducing at first Husserl’s notion of 'crisis' of sciences to show how it relates to formal mathematics and intuition. Then, I claim that Frege’s conception of symbolic language exemplifies what Husserl calls 'objectivism', which he takes to be one of the main aspects of the crisis. The emergence of Russell’s antinomy can be finally interpreted as the setback of such objectivism and thus as the occasion to consider anew the epistemological import of mathematical intuition for formal sciences. |
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