Multiplex semantics for deontic logic

Nordic Journal of Philosophical Logic 5 (2):113-134 (2000)
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This multiplex semantics incorporates multiple relations of deontic accessibility or multiple preference rankings on alternative worlds to represent distinct normative standards. This provides a convenient framework for deontic logic that allows conflicts of obligation, due either to conflicts between normative standards or to incoherence within a single standard. With the multiplex structures, two general senses of "ought" may be distinguished, an indefinite sense under which something is obligatory when it is enjoined by some normative standard and a core sense for when something is enjoined by all normative standards. Multiple normative standards may themselves be given a preferential order; this leads to a concept of ranked obligation. This paper presents the foundations of this multiplex semantics and the propositional deontic logics they define



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References found in this work

Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.
Counterfactuals.David Lewis - 1973 - Tijdschrift Voor Filosofie 36 (3):602-605.
Values and the heart's command.Bas C. Van Fraassen - 1973 - Journal of Philosophy 70 (1):5-19.
The Logic of Conditional Obligation.Bas C. Van Fraassen - 1972 - Journal of Philosophical Logic 1 (3/4):417.

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