Fundamental to Badiou’s later philosophy is his declaration in Being and Event that “mathematics is ontology”. Everything that follows from this assertion – from the structure of situations and their states all the way to events and the subjects and truths they can engender – must be understood as the carefully drawn-out consequences of this properly philosophical decision. One could even argue – such is the rigour with which Badiou constructs Being and Event – that those who reject Badiou’s core philosophy do so foremost because they reject his initial thesis on the equivalence of mathematics and ontology. For if this thesis is unfounded, so too is Badiou’s entire philosophy. Conversely, in accepting the equivalence of mathematics and onto...