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  1. On Paracomplete Versions of Jaśkowski's Discussive Logic.Krystyna Mruczek-Nasieniewska, Yaroslav Petrukhin & Vasily Shangin - 2024 - Bulletin of the Section of Logic 53 (1):29-61.
    Jaśkowski's discussive (discursive) logic D2 is historically one of the first paraconsistent logics, i.e., logics which 'tolerate' contradictions. Following Jaśkowski's idea to define his discussive logic by means of the modal logic S5 via special translation functions between discussive and modal languages, and supporting at the same time the tradition of paracomplete logics being the counterpart of paraconsistent ones, we present a paracomplete discussive logic D2p.
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  • Axiomatizing Jaśkowski’s Discussive Logic $$\mathbf {D_2}$$ D 2.Hitoshi Omori & Jesse Alama - 2018 - Studia Logica 106 (6):1163-1180.
    We outline the rather complicated history of attempts at axiomatizing Jaśkowski’s discussive logic $$\mathbf {D_2}$$ D2 and show that some clarity can be had by paying close attention to the language we work with. We then examine the problem of axiomatizing $$\mathbf {D_2}$$ D2 in languages involving discussive conjunctions. Specifically, we show that recent attempts by Ciuciura are mistaken. Finally, we present an axiomatization of $$\mathbf {D_2}$$ D2 in the language Jaśkowski suggested in his second paper on discussive logic, by (...)
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