In our first chapter on section two of the introduction we investigated the three traits of the immanence of truths. In this second chapter we examine the difference between reasoning in finite cases and reasoning in infinite cases. Badiou discusses a particular theorem from set theory, the power-set theorem, and explains its philosophical ramifications from the point of view of its content and also from the perspective of its mode of proof.
Subjects discussed:
Finite proofs versus infinite proofs, reductio ad absurdum, negativity and dialectics, errance and the infinite, paradoxical objects, love as nihilist jealousy vs love as creative risk.
AGENT SWARM 