Relation-objet et onto-logie, ensembles ou categories. Identité, objet, relation

This article puts into perspective Badiou’s differing approach to set theory and the theory of categories and shows how the distinctions and protocols specific to these fields affect his philosophical thought. It also questions the evolution of Badiou’s approach to these two mathematical theories. The article concludes with questions and examinations related to some of the key points of Badiou’s philosophical orientation that he has not yet addressed.