Deleuze, Leibniz and Projective Geometry in the Fold

Angelaki 15 (2):129-147 (2010)
Abstract
Explications of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in 'The Fold: Leibniz and the Baroque' focus predominantly on the role of the infinitesimal calculus developed by Leibniz.1 While not underestimat- ing the importance of the infinitesimal calculus and the law of continuity as reflected in the calculus of infinite series to any understanding of Leibniz’s metaphysics and to Deleuze’s reconstruction of it in The Fold, what I propose to examine in this paper is the role played by other developments in mathematics that Deleuze draws upon, including those made by a number of Leibniz’s near contemporaries – the projective geometry that has its roots in the work of Desargues (1591–1661) and the ‘proto-topology’ that appears in the work of Du ̈rer (1471–1528) – and a number of the subsequent developments in these fields of mathematics. Deleuze brings this elaborate conjunction of material together in order to set up a mathematical idealization of the system that he considers to be implicit in Leibniz’s work. The result is a thoroughly mathematical explication of the structure of Leibniz’s metaphysics. What is provided in this paper is an exposition of the very mathematical underpinnings of this Deleuzian account of the structure of Leibniz’s metaphysics, which, I maintain, subtends the entire text of The Fold.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 9,360
External links
  • Through your library Configure
    References found in this work BETA

    No references found.

    Citations of this work BETA

    No citations found.

    Similar books and articles
    Keith Robinson (2003). Events of Difference. Epoché: A Journal for the History of Philosophy 8 (1):141-164.
    Simon Duffy (2010). Leibniz, Mathematics and the Monad. In Sjoerd van Tuinen & Niamh McDonnell (eds.), Deleuze and the Fold: A Critical Reader. Palgrave Macmillan.
    Mogens Lærke (2010). Four Things Deleuze Learned From Leibniz. In Sjoerd van Tuinen & Niamh McDonnell (eds.), Deleuze and the Fold: A Critical Reader. Palgrave Macmillan.
    Simon B. Duffy (2009). The Role of Mathematics in Deleuze's Critical Engagement with Hegel. International Journal of Philosophical Studies 17 (4):563 – 582.
    Harry G. Frankfurt (1972). Leibniz. Garden City, N.Y.,Anchor Books.
    Analytics

    Monthly downloads

    Added to index

    2010-10-15

    Total downloads

    75 ( #14,964 of 1,089,057 )

    Recent downloads (6 months)

    1 ( #69,801 of 1,089,057 )

    How can I increase my downloads?

    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    There  are no threads in this forum
    Nothing in this forum yet.