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

Logic and Logical Philosophy 29 (3):335–380 (2020)
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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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Author Profiles

Mateusz Klonowski
Nicolaus Copernicus University
Tomasz Jarmużek
Nicolaus Copernicus University

References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
Imperatives and logic.Alf Ross - 1944 - Philosophy of Science 11 (1):30-46.
Input/output logics.David Makinson & Leendert van der Torre - 2000 - Journal of Philosophical Logic 29 (4):383-408.

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