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This book on Alain Badiou's philosophy begins with a central theme: the attempt to trace how Badiou has replaced the tradition of critical theory and negation with an affirmative support of his four generic procedures (art, science, love, and art) as inseparable from his revitalization of both the subject and the concept of truth. By defining four procedures as conditions of philosophy, Badiou makes the attempt to establish each as inter-related and systematically necessary to make a new proposal for thought. The fidelity to Badiou's project for the 21st century, however, requires a fundamental examination: are his four truths complicated by an inescapable dilemma? And if so, can the four truths be retained, as a whole, or does the individual reader have to make a decision that will alter Badiou's project and conclusions? By presenting the dilemmas of his thought, the scholarly reader will be in a position to then pursue the necessary study to come to their own conclusions and, by doing so, become sufficiently free to resist the many coercions of social and political life in liberal democracies today.