International Journal of Philosophical Studies 17 (4):563 – 582 (2009)
|Abstract||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 treatment of the problem of the infinitesimal. Against the role that Hegel assigns to integration as the inverse transformation of differentiation in the development of his dialectical logic, Deleuze strategically redeploys Leibniz's account of integration as a method of summation in the form of a series in the development of his philosophy of difference. By demonstrating the relation between the differential point of view of the Leibnizian infinitesimal calculus and the differential calculus of contemporary mathematics, I argue that Deleuze effectively bypasses the methods of the differential calculus which Hegel uses to support the development of the dialectical logic, and by doing so, sets up the critical perspective from which to construct an alternative logic of relations characteristic of a philosophy of difference. The mode of operation of this logic is then demonstrated by drawing upon the mathematical philosophy of Albert Lautman (1908-44), which plays a significant role in Deleuze's project of constructing a philosophy of difference. Indeed, the logic of relations that Deleuze constructs is dialectical in the Lautmanian sense.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Gordon C. F. Bearn (2000). Differentiating Derrida and Deleuze. Continental Philosophy Review 33 (4):441-465.
Simon B. Duffy (2010). Deleuze, Leibniz and Projective Geometry in the Fold. Angelaki 15 (2):129-147.
Henry Somers-Hall, Dialectics of Difference and Negation: The Responses of Deleuze and Hegel to Representation.
Henry Somers-Hall (2010). Hegel and Deleuze on the Metaphysical Interpretation of the Calculus. Continental Philosophy Review 42 (4):555-572.
Philip Turetzky (2009). The Logic of Expression: Quality, Quantity and Intensity in Spinoza, Hegel and Deleuze, by Simon Duffy. European Journal of Philosophy 17 (2):341-345.
Simon B. Duffy (2004). The Logic of Expression in Deleuze's Expressionism in Philosophy: Spinoza: A Strategy of Engagement. International Journal of Philosophical Studies 12 (1):47 – 60.
Simon B. Duffy (2006). The Differential Point of View of the Infinitesimal Calculus in Spinoza, Leibniz and Deleuze. Journal of the British Society for Phenomenology 37 (3):286-307.
Simon B. Duffy (2006). The Logic of Expression: Quality, Quantity and Intensity in Spinoza, Hegel and Deleuze. Ashgate.
Simon B. Duffy (2004). Schizo-Math: The Logic of Different/Ciation and the Philosophy of Difference. Angelaki 9 (3):199 – 215.
Added to index2010-05-07
Total downloads57 ( #17,285 of 548,969 )
Recent downloads (6 months)5 ( #15,091 of 548,969 )
How can I increase my downloads?