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Antilogic, Benoît Castelnérac, Mathieu Marion

Baltic International Yearbook of Cognition, Logic and Communication

This paper is an interim report of joint work begun in (Castelnérac & Marion 2009) on dialectic from Parmenides to Aristotle. In the first part we present rules for dialectical games, understood as a specific form of antilogikê developed by philosophers, and explain some of the key concepts of these dialectical games in terms of ideas from game semantics. In the games we describe, for a thesis A asserted by the answerer, a questioner must elicit the answerer’s assent to further assertions B₁, B₂,…, B_n, which form a scoreboard from which the questioner seeks …