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Jean Petitot (1987). Refaire le «Timée»:. Introduction à la philosophie mathématique d'Albert Lautman.

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  1.  7
    Lautman on Problems as the Conditions of Existence of Solutions.Simon B. Duffy - 2018 - Angelaki 23 (2):79-93.
    Albert Lautman (b. 1908–1944) was a philosopher of mathematics whose views on mathematical reality and on the philosophy of mathematics parted with the dominant tendencies of mathematical epistemology of the time. Lautman considered the role of philosophy, and of the philosopher, in relation to mathematics to be quite specific. He writes that: ‘in the development of mathematics, a reality is asserted that mathematical philosophy has as a function to recognize and describe’ (Lautman 2011, 87). He goes on to characterize this (...)
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    La dualité de Lautman contre la négativité de Hegel, et le paradoxe de leurs formalisations : Contribution à une enquête sur les formalisations de la dialectique.Emmanuel Barot - 2010 - Philosophiques 37 (1):111-148.
    L’article montre d’abord jusqu’où convergent la dialectique hégélienne de l’Idée et la dialectique lautmanienne des Idées, et ce sur quoi elles se séparent en profondeur : sur la négativité et le statut de la contradiction. Il s’intéresse ensuite à certaines formalisations qui ont été proposées de ces deux dialectiques : celle de Doz et Dubarle pour Hegel dans une extension de la logique booléenne, et celle, récemment esquissée par F. Zalamea en théorie des catégories, pour Lautman. Est montré dans ses (...)
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  3. The Role of Mathematics in Deleuze’s Critical Engagement with Hegel.Simon Duffy - 2009 - International Journal of Philosophical Studies 17 (4):563 – 582.
    The role of mathematics in the development of Gilles Deleuze's (1925-95) philosophy of difference as an alternative to the dialectical philosophy determined by the Hegelian dialectic logic is demonstrated in this paper by differentiating Deleuze's interpretation of the problem of the infinitesimal in Difference and Repetition from that which G. W. F Hegel (1770-1831) presents in the Science of Logic . Each deploys the operation of integration as conceived at different stages in the development of the infinitesimal calculus in his (...)
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