On Paracomplete Versions of Jaśkowski's Discussive Logic

Bulletin of the Section of Logic 53 (1):29-61 (2024)
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Abstract

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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Author Profiles

Krystyna Mruczek-Nasieniewska
Nicolaus Copernicus University
Yaroslav Petrukhin
Moscow State University
Vasily Olegovich Shangin
Moscow State University

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