Abstract

SANTAYA, Gonzalo. Dialectic, structure and genesis: Lautman’s presence in Deleuze’s virtual. Valenciana [online]. 2022, vol.15, n.30, pp.161-188.  Epub Sep 29, 2022. ISSN 2007-2538.  https://doi.org/10.15174/rv.v15i30.567.

This paper aims to make a contribution to Deleuzian studies concerning the concept of the virtual, by examining a fundamental source in its determination: the notion of “dialectic” developed in Albert Lautman’s philosophy of mathematics. It is not Plato or Hegel, but Lautman, who Deleuze chooses to address his conception of the dialectic, determining the virtual field as a problematic one, which is both structural and genetic, and simultaneously immanent and transcendent to the actual solutions it produces. We will first analyze Lautman’s own presentation of the dialectic in philosophy of mathematics to show, secondly, how Deleuze extends this dialectic beyond mathematics; finally, we make some considerations about the privilege given to mathematics in Deleuze’s developments on the virtual in Difference and Repetition.

Keywords : Deleuze; Lautman; Dialectics; Virtual; Mathematics.

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