Timothy Lavenz has made a very useful translation of an important passage in Alain Badiou’s THE IMMANENCE OF TRUTHS (Being and Event 3).
Note: I develop the significance of Badiou’s distinctions articulated here in my review of THE IMMANENCE OF TRUTHS, see https://terenceblake.wordpress.com/2018/10/06/my-path-through-badious-the-immanence-of-truths-full-english-text/
Translation of: Alain Badiou, The Immanence of Truths, Section III, Chapter c11, parts 1-4 (out of 12)
Four accesses to the infinite
1. Objections concerning the set-theoretical concept of the infinite
I demonstrated previously that the ontology of every oppressive figure organizes itself based on an imperative of finitude. Now I launch into the counterpart of this negative observation: the aim is to establish that wherever human action liberates itself from the order that constraints it, it is a matter of an encounter with the infinite, in the figure of a work.
It is only natural to begin with what we about the infinite, a knowledge constitutive of mathematical thinking. This initial course will still be very approximative for two reasons. First, the dialectic finite/infinite is at the heart of the system [dispositif] of this entire book, and we will only see this clearly little by little…
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