The Role of Mathematics in Deleuze's Critical Engagement with Hegel.
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 i...
| Publicado en: | International Journal of Philosophical Studies Vol. 17; no. 4; pp. 463 - 483 |
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| Formato: | Artículo |
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Taylor & Francis Ltd
Oct2009
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=44080965&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 44080965 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09672559 5BE jtl: International Journal of Philosophical Studies issn: 09672559 maglogo: N pubinfo: dt: Oct2009 vid: 17 iid: 4 pid: 377 pub: Taylor & Francis Ltd artinfo: ui: 44080965 10.1080/09672550903164418 ppf: 463 ppct: 20 formats: fmt: – @attributes: type: T – @attributes: type: P size: 81KB tig: atl: The Role of Mathematics in Deleuze's Critical Engagement with Hegel. aug: au: Duffy, Simon affil: University of Sydney, Australia su: Mathematics Philosophy & science Deleuze, Gilles, 1925-1995 Calculus Lautman, Albert sug: subj: Mathematics Philosophy & science Deleuze, Gilles, 1925-1995 Calculus Lautman, Albert keyword: Deleuze Hegel mathematics ab: 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. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of International Journal of Philosophical Studies is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: International Journal of Philosophical Studies holder: Taylor & Francis Ltd dt: @attributes: year: 2009 holdings: @attributes: islocal: N |
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