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A basic system of congruential-to-monotone bimodal logic and two of its extensions. (English) Zbl 0883.03010
Summary: If what is known need not be closed under logical consequence, then a distinction arises between something’s being known to be the case (by a specific agent) and its following from something known (to that subject). When each of these notions is represented by a sentence operator, we get a bimodal logic in which to explore the relations between the two notions.
MSC:
03B45 Modal logic (including the logic of norms)
03A05 Philosophical and critical aspects of logic and foundations
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