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Alain Badiou takes on the standard bearer of the linguistic turn in modern philosophy, and anatomizes the anti-philosophy of Ludwig Wittgenstein, in his Tractatus Logico-Philosophicus. Addressing the crucial moment where Wittgenstein argues that much has to be passed over in silenceshowing what cannot be said, after accepting the limits of language and meaningBadiou argues that this mystical act reduces logic to rhetoric, truth to an effect of language games, and philosophy to a series of esoteric aphorisms. in the course of his interrogation of Wittgensteins anti-philosophy, Badiou sets out and refines his own definitions of the universal truths that condition philosophy. Bruno Bosteels introduction shows that this encounter with Wittgenstein is central to Badious overall projectand that a continuing dialogue with the exemplar of anti-philosophy is crucial for contemporary philosophy.