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Kantian and non-Kantian logics. (English) Zbl 0728.03023

Summary: In a previous work [the second and the third author, “On paraconsistent deontic logic”, Philosophia 16, 293-303 (1986)], certain systems of paraconsistent deontic logic were proposed in order to investigate the problem of inconsistency in the domain of ethics.
In this paper we continue this line of research, studying some paraconsistent systems containing alethic and deontic modalities. This approach allows us to treat the principles of Kant (OA\(\to \diamondsuit A)\) and Hintikka (\(\square A\to OA)\) from the classical and from the paraconsistent point of view, and to propose systems in which either, both, or neither of these principles is valid.

MSC:

03B53 Paraconsistent logics
03B45 Modal logic (including the logic of norms)
03A05 Philosophical and critical aspects of logic and foundations
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