This book is fantastic--I'm not sure what the other reviewer here was reading. I have spent hours going over the chapters, reading each one twice, sometimes three times. Badiou's writing is like a song, or a poem--but never lacking in clarity or incisiveness. He presents relatively succinct, readable expositions of the thought of each of his subjects, then critically engages their thinking. In so doing, he elucidates not only the thought of the subjects of the book, but also his own highly original and inventive philosophy. This is a must-read for anyone interested in Badiou's thinking or modern French thought, or those beginning to venture into the "neo-communist" thought that has begun to emerge (and its about time!). Even the way the book is structured is nothing short of brilliant--with a "Hegelian love of the present," Badiou takes you through each philosopher, and though organized solely by the date of their death, manages to create a wonderful, synthetic narrative in which these giants engage not just with Badiou's contemporary thinking, but also challenge and answer one another. I can't recommend this text enough, particularly to those (like me) who are autodidacts, lacking formal training but still patient, dedicated readers with some previous exposure to the ideas presented here.