Deontic Paradoxes and Tableau System for Kalinowski’s Deontic Logic K1

Authors

  • Janusz Ciuciura Department of Logic and Methodology of Science, University of Lódź, Lindleya 3/5, 90–131 Lódź, Poland Author

DOI:

https://doi.org/10.18778/0138-0680.46.3.4.07

Keywords:

deontic logic, K1, Kalinowski’s logic, paradoxes, tableaux

Abstract

In 1953, Jerzy Kalinowski published his paper on the logic of normative sentences. The paper is recognized as one of the first publications on the formal system of deontic logic. The aim of this paper is to present a tableau system for Kalinowski’s deontic logic and to discuss some of the topics related to the paradoxes of deontic logic.

References

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[4] R. Hilpinen, Deontic Logic: Introductory and Systematic Readings (Synthese Library), Dordrecht, D. Reidel Publishing Company, 2013.

[5] J. Kalinowski, Teoria zdań normatywnych (in Polish), Studia Logica 1 (1953), pp. 113–146 (French translation: Jerzy Kalinowski, Theorie des propositions normatives, Studia Logica 1 (1953), pp. 147–182).

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[7] P. Kulicki and R. Trypuz, Doing the right things – trivalence in deontic action logic, available at https://philpapers.org/rec/KULDTR

[8] L. L. Royakkers, Extending Deontic Logic for the Formalisation of Legal Rules, Kluwer Academic Publishers, Dordrecht, 1998.

[9] W. Suchoń, Studia nad logiką deontyczną (in Polish), Rozprawy Habilitacyjne Nr 76, Uniwersytet Jagieloński, Kraków, 1983.

[10] R. Trypuz and P. Kulicki, Jerzy Kalinowski’s Logic of Normative Sentences Revisited, Studia Logica 103(2), pp. 389–412.

[11] P. McNamara, Deontic Logic, [in:] Stanford Encyclopedia of Philosophy, available at http://plato.stanford.edu/entries/logic-deontic/

[12] G. H. von Wright, Problems and prospects of deontie logic: A survey, [in:] Modern Logic – A Survey, Dordrecht, D. Reidel Publishing Company, 1981, pp. 399–423.

[13] G. H. von Wright, Deontic logic, Mind, Vol. 60:237 (1951), pp. 1–15.

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Published

2017-12-30

Issue

Section

Research Article

How to Cite

Ciuciura, Janusz. 2017. “Deontic Paradoxes and Tableau System for Kalinowski’s Deontic Logic K1”. Bulletin of the Section of Logic 46 (3/4): 283–291. https://doi.org/10.18778/0138-0680.46.3.4.07.

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