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Playing on a verse of Catullus and their surnames, Giuliano Amato and Piergiorgio Odifreddi will converse on the dilemma of whether to love or hate the West: a dilemma made current by the many crises we are experiencing. The first will judge things based on his experience as Prime Minister, of the Constitutional Court, of Treccani and of the Courtyard of the Gentiles, the second from the point of view of mathematical theories of games, economic equilibria, social choices and systems.