Abstract

The article presents a reading of Badiou’s trilogy, L’Être et l’événement, Logiques des mondes, and L’Immanence des vérités, and points out the mathematical connections with the works of Cohen, Grothendieck, and large cardinal specialists. A synthetic rendering of these connections is first offered, following precise passages in Badiou’s work, then a category-theoretic and Peircean perspective is explored in order to specify the many dialectics in the trilogy, and, finally, some open problems are proposed.