Why Husserl should have been a strong revisionist in mathematics

Mark van Atten (1)

1 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

Husserl repeatedly has claimed that (1) mathematics without a philosophical foundation is not a science but a mere technique; (2) philosophical considerations may lead to the rejection of parts of mathematical practice; but (3) they cannot lead to mathematical innovations. My thesis is that Husserl's third claim is wrong, by his own standards.

Mots clés: Transcendental; Possibility; Constitution; Universal; Science; Phenomenology; Intuitionism; Basis; Revisionism; Discovery; Mathematics; Philosophy; Husserl (E.)

Mots clés: Transcendantal; Possibilité; Universel; Phénoménologie; Intuitionnisme; Fondement; Révisionnisme; Découverte; Mathématiques; Philosophie; Ciencia; Descubrimiento; Matemáticas; Filosofía

Domaines: Histoire, Philosophie et Sociologie des sciences

Mark van Atten. Why Husserl should have been a strong revisionist in mathematics. Husserl Studies, 2002, 18 (1), pp.1-18. ⟨halshs-00792155⟩