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|Paper IPM / M / 17074||
Different notions of the consistency of obligations collapse in standard deontic logic.
In justification logics, which feature explicit reasons for obligations, the situation is different.
Their strength depends on a constant specification and on the available set of operations for combining different reasons.
We present different consistency principles in justification logic and compare their logical strength. We propose a novel semantics for which justification logics with the explicit version of axiom D, jd, are complete for arbitrary constant specifications. Consistency is sometimes formulated in terms of permission. We therefore study permission in the context of justification logic, introducing a notion of free-choice permission for the first time.
We then discuss the philosophical implications with regard to some deontic paradoxes.
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