“This seminar will deal with the creative relation between the finite and the infinite, in the four registers where truths exist: science, art, politics, and love. This is why it will combine conceptual explanations and examples directly drawn, for example, from certain curious mathematical results, from some typical productions of contemporary art, notably the theatre, from the political situations of the moment, and from the historical state of the relation between the sexes.
Last year, we principally dealt with the operative modalities of finitude, as the dominant ideology: the different means which convince us that to live always amounts to passively settling down in the inevitable character of finitude. In other words, everything which persuades us that to live is to accept being the finite waste product of the infinity of constraints. During the year 2015-2016, we are going to get to the affirmative side, which shows that the finite as oeuvre always results from an access to two distinct infinities, whose crossing and friction engender, precisely, the universal dimension of a finite fragment. We will do this in two steps: first the critical examination of the most profound formalism of the thought of the finite, that is the theory of constructible sets. Then a first passage through the registers of the “oeuvre”, from the angle of the immanence which constitutes them, namely the dialectic of truths which interlaces two infinites and their finite result : the sciences, politics, the arts and loves”.
Translated from the French, here.