Consistency and Permission in Deontic Justification Logic

Journal of Logic and Computation 34 (4):640-664 (2024)
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Abstract

Different notions of the consistency of obligations collapse in standard deontic logic. In justification logics, which feature explicit reasons for obligations, the situation is different. Their strength depends on a constant specification and on the available set of operations for combining different reasons. We present different consistency principles in justification logic and compare their logical strength. We propose a novel semantics for which justification logics with the explicit version of axiom D, jd⁠, are complete for arbitrary constant specifications. Consistency is sometimes formulated in terms of permission. We therefore study permission in the context of justification logic, introducing a notion of free-choice permission for the first time. We then discuss the philosophical implications with regard to some deontic paradoxes.

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Author Profiles

Federico L. G. Faroldi
Universita' degli Studi di Pavia
Meghdad Ghari
University Of Isfahan

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Tableaux and Interpolation for Propositional Justification Logics.Meghdad Ghari - 2024 - Notre Dame Journal of Formal Logic 65 (1):81-112.

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