Deontic Logic Based on Inquisitive Semantics

In Fenrong Liu, Alessandra Marra, Paul Portner & Frederik Van De Putte (eds.), Deontic Logic and Normative Systems: 15th International Conference, DEON 2020/2021. College Publications. pp. 339-357 (2021)
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Abstract

This paper introduces deontic logic based on inquisitive semantics. A semantics for action formulas is introduced where each action formula is associated with a set of alternatives. Deontic operators are then interpreted as quantifying over all alternatives associated with the action formulas within their scope. It is shown how this construction provides solutions to problems related to free choice permissions and obligations, including issues concerning Hurford disjunctions. The main technical result is a complete axiomatization of the logic.

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Karl Nygren
Stockholm University

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Free Choice in Modal Inquisitive Logic.Karl Nygren - 2023 - Journal of Philosophical Logic 52 (2):347-391.

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