Of all canonical philosophers aside from Plato, Georg Wilhelm Friedrich Hegel is without a doubt Alain Badious most constant interlocutor. Both Being and Event and Logics of Worlds contain important sections devoted to Hegel, and there are a sufficient number of references to Hegel scattered throughout Badious recent publication to warrant the claim that he continues to see himself as a dialectical thinker who works in the shadow of Hegel. This chapter concerns the centurys assessment of dialectical thinking. It explains that why Badiou can define himself as a philosopher of the post-dialectical dialectic. Badious ongoing confrontation with Hegels dialectic, in other words, announces a battle on two fronts: against the dogmatism of the metaphysics of theological infinity, on one hand, and against the perhaps no less theological scepticism of the analytic of finitude, on the other: The decisive point is that, for Hegel, mathematics and philosophical speculation share a fundamental concept: the concept of the infinite.