For Badiou, Parmenides inaugurates the history of philosophy by linking being, thinking, and nonbeing in a "Borromean knot"-a linkage in which the relationship between any two terms requires the mediation of a third. Badiou traces the permutations of this connection among fundamental concepts as it was transmitted to later thinkers, including Plato, Aristotle, Descartes, Hegel, and Heidegger. He also argues that Parmenides's account of philosophy establishes a new kind of formal reasoning that, like mathematics, breaks with the Greek mythic and poetic traditions and their assumption that truth derives from sensory experience. This seminar demonstrates Badiou's unparalleled ability to recast the fundamental questions of philosophy.
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