Following the publication of his magnum opus L’être et l’événement (Being and Event) in 1988, Alain Badiou has been acclaimed as one of France’s greatest living philosophers. Since then, he has released a dozen books, including Manifesto for Philosophy, Conditions, Metapolitics and Logiques des mondes (Logics of Worlds), many of which are now available in English translation. Badiou writes on an extraordinary array of topics, and his work has already had an impact upon studies in the history of philosophy, the history and philosophy of science, political philosophy, aesthetics, psychoanalysis, and ontology. This volume takes up the challenge of explicating, extending and, in many places, criticising Badiou’s stunningly original theses. Above all, the essays collected here put Badiou’s concepts to the test in a confrontation with the four great headings that he himself has identified as essential to our humanity: science, love, art and politics. Many of the contributors have already been recognised as outstanding translators of and commentators on Badiou’s work; they appear here with fresh voices also destined to make a mark.