An Elementary Peircean and Category-Theoretic Reading of Being and Event, Logics of Worlds, and The Immanence of Truths

Abstract

The article presents a reading of Badiou’s trilogy, L’Être et l’événement (1988), Logiques des mondes (2006), and L’Immanence des vérités (2018), 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.