A range of critical engagements with the work of Alain Badiou. This collection of 13 essays engages directly with the work of the contemporary French philosopher Alain Badiou. Badiou's work has been adapted and applied across many different disciplines; now, this volume brings the focus back to the philosophical content of his work and how he connects with his contemporaries and his philosophical heritage. In-depth critical readings view Badiou's work viewed through the lens of a number of important philosophical thinkers and themes, ranging from Cantor and category/topos theory, Lacan and Lautman, through to Sartre and the subject. This is an important collection for anyone interested in the work of Badiou and contemporary Continental philosophy.