Alain Badiou's work in philosophy, though daunting, has gained a receptive and steadily growing Anglophone readership. What is not well known is the extent to which Badiou's positions, vis-a-vis ontology, ethics, politics and the very meaning of philosophy, were hammered out in dispute with the late Jean-Francois Lyotard. Matthew R. McLennan's Philosophy, Sophistry, Antiphilosophy is the first work to pose the question of the relation between Lyotard and Badiou, and in so doing constitutes a significant intervention in the field of contemporary European philosophy by revisiting one of its...