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Journal of Philosophical Logic
Article . 1992 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2020
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Relevant deontic logic

Authors: Werner Stelzner;

Relevant deontic logic

Abstract

Novel conditions of relevance are defined for conditionals in order to weed out some of the deontic paradoxes, such as Ross's paradox. Semantically, first-degree positive relevant entailment is defined in terms of fulfilment conditions, which are sets of sets of literals (atomic sentences or their negations). The construction has much in common with \textit{B. C. van Fraassen's} treatment of facts and truthmaker sets [J. Philos. 66, 477-487 (1969)]. The resulting logic of positive relevant entailment resembles \textit{W. T. Parry's} system of analytic implication [Erg. Math. Kolloqu. 4, 5-6 (1933; JFM 59.0862.08)], with interesting divergences. The author varies his semantic definition and the fulfilment conditions to rule out negative relevance, yielding two further first-degree entailment relations. Three corresponding types of obligation are then defined as entailment by a set of basic norms. Ross's paradox is blocked, but free choice of alternatives for fulfilling norms is upheld.

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Keywords

deontic logic, first-degree positive relevant entailment, obligation, Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics), deontic paradoxes, Ross paradox, Other nonclassical logic, conditions of relevance for conditionals

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
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