“School of Mathematics”
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| Paper IPM / M / 16308 |
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| Abstract: | |
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Different notions of the consistency of obligations collapse in standard deontic logic.
In justi cation logics, which feature explicit reasons for obligations, the situation is
different. Their strength depends on a constant speci cation and on the available
set of operations for combining di erent reasons. We present different consistency
principles in justi cation logic and compare their logical strength. Further, we propose
a novel semantics for which justi cation logics with the explicit version of axiom D, jd,
are complete for arbitrary constant speci cations. We then discuss the philosophical
implications with regard to some deontic paradoxes.
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