Two Adaptive Logics of Norm-Propositions

Journal of Applied Logic 11 (2):147-168 (2013)
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Abstract

We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order to meet (ii). This results in the adaptive logics LNPr and LNPm, which interpret a given set of premises in such a way that normative conflicts and normative gaps are avoided ‘whenever possible’. LNPr and LNPm are equipped with a preferential semantics and a dynamic proof theory.

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Author Profiles

Christian Straßer
Ruhr-Universität Bochum
Mathieu Beirlaen
University of Ghent

References found in this work

Values and the heart's command.Bas C. Van Fraassen - 1973 - Journal of Philosophy 70 (1):5-19.
Input/output logics.David Makinson & Leendert van der Torre - 2000 - Journal of Philosophical Logic 29 (4):383-408.
A universal logic approach to adaptive logics.Diderik Batens - 2007 - Logica Universalis 1 (1):221-242.

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