Abductive Realism in Topos Theory

The foundation of Badiou’s ontological schema relies on the notion of a transcendental T. As emerged from the analysis in the last chapter, T is in fact best understood as a two-fold entity: It is used to measure the degree of identity of relations between objects in the world, and, on the other hand, is a structured system of relations by itself, namely a complete distributive lattice (Heyting algebra), with the property of being essentially optimal with respect to the contexts it is meant to model.