On Logic of Strictly-Deontic Modalities. A Semantic and Tableau Approach

Tomasz Jarmużek; Mateusz Klonowski

doi:10.12775/LLP.2020.010

Authors

Tomasz Jarmużek Department of Logic, Nicolaus Copernicus University in Toruń
Mateusz Klonowski Department of Logic, Nicolaus Copernicus University in Toruń

DOI:

https://doi.org/10.12775/LLP.2020.010

Keywords

deontic logic, deontic relationship, relating logic, relating semantics, quasi-deontic modalities, strictly-deontic modalities, tableau approach

Abstract

Standard deontic logic (SDL) is defined on the basis of possible world semantics and is a logic of alethic-deontic modalities rather than deontic modalities alone. The interpretation of the concepts of obligation and permission comes down exclusively to the logical value that a sentence adopts for the accessible deontic alternatives. Here, we set forth a different approach, this being a logic which additionally takes into consideration whether sentences stand in relation to the normative system or to the system of values under which we predicate the deontic qualifications. By taking this aspect into account, we arrive at a logical system which preserves laws proper to a deontic logic but where the standard paradoxes of deontic logic do not arise. It is a logic of strictly-deontic modalities DR.

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