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  • 标题:Antilogic
  • 本地全文:下载
  • 作者:Benoît Castelnérac ; Mathieu Marion
  • 期刊名称:The Baltic International Yearbook of Cognition, Logic and Communication
  • 印刷版ISSN:1944-3676
  • 出版年度:2013
  • 卷号:8
  • 出版社:New Prairie Press
  • 摘要:This paper is an interim report of joint work beguninCasteln¨¦rac & Marion(2009) on dialectic from Parmenides toAristotle. In the first part we present rules for dialectical games,understood as a specific form of antilogik¨º developed by philoso-phers, and explain some of the key concepts of these dialecticalgames in terms of ideas from game semantics. In the games wedescribe, for a thesis A asserted by the answerer, a questionermust elicit the answerer's assent to further assertions B1, B2,. . . ,Bn, which form a scoreboard from which the questioner seeks toinfer an impossibility (adunaton); we explain why the questionermust not insert any of his own assertions in the scoreboard, aswell as the crucial role the Law of Non Contradiction, and whythe games end with the inference to an impossibility, as opposedto the assertion of .A. In the second part we introduce some spe-cific characteristics of Eleatic Antilogic as a method of enquiry.When Antilogic is used as a method of inquiry, then one mustplay not only the game beginning with a given thesis A, but alsothe game for .A as well as for A & .A, while using a peculiar setof opposite predicates to generate the arguments. In our discus-sion we hark back to Parmenides' Poem
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