Guided by a small set of fundamental questions concerning the nature of being, the event, the subject, and truth, Badiou pushes to an extreme the polemical force of his thinking. Against the formless continuum of life, he posits the need for radical discontinuity; against the false modesty of finitude, he pleads for the mathematical infinity of everyday situations; against the various returns to Kant, he argues for the persistence of the Hegelian dialectic; and against the lure of ultraleftism, his texts from the 1970s vindicate the role of Maoism as a driving force behind the communist Idea.