Don’t Ever Do That! Long-term Duties in PD e L

Studia Logica 89 (1):59 - 79 (2008)
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Abstract

This paper studies long-term norms concerning actions. In Meyer's Propositional Deontic Logic (PDₑL), only immediate duties can be expressed, however, often one has duties of longer durations such as: "Never do that", or "Do this someday". In this paper, we will investigate how to amend (PDₑL) so that such long-term duties can be expressed. This leads to the interesting and suprising consequence that the long-term prohibition and obligation are not interdefinable in our semantics, while there is a duality between these two notions. As a consequence, we have provided a new analysis of the long-term obligation by introducing a new atomic proposition I (indebtedness) to represent the condition that an agent has some unfulfilled obligation.

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References found in this work

Deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.
I. deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.
Dynamic Logic.Lenore D. Zuck & David Harel - 1989 - Journal of Symbolic Logic 54 (4):1480.
Deontic Logic.G. H. von Wright - 1952 - Journal of Symbolic Logic 17 (2):140-140.

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