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Introducing Consistency in a Dialogical Framework for Paraconsistent Logic

Abstract : The Logics of Formal Inconsistency are logics tolerant to some amount of inconsistency, but in which some versions of explosion still hold. The main result of this paper is a reconstruction of two such logics in the dialogical framework. By doing so, we achieve two things. On the one hand, we provide a formal approach to argumentative situations where some inconsistencies may occur while keeping the idea that there may still be situations in which some propositions are " safe " in the sense of immunity to the contradictions. On the other hand, we open a new line of study on these logics, in the context of the game-theoretical approach to semantics born in the 1960s, with various interesting perspectives, some of which are discussed at the end of this article.
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Submitted on : Sunday, January 21, 2018 - 12:41:19 AM
Last modification on : Monday, December 14, 2020 - 5:25:34 PM
Long-term archiving on: : Sunday, April 22, 2018 - 12:11:28 PM


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Eduardo Barrio, Nicolas Clerbout, Shahid Rahman. Introducing Consistency in a Dialogical Framework for Paraconsistent Logic. Logic Journal of the Interest Group in Pure and Applied Logic (IGPL), In press. ⟨halshs-01689148⟩



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