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Logics of (In)sane and (Un)reliable Beliefs

Jie Fan

Logic Journal of the IGPL 30 (1):78-100 (2022)

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Unknown Truths and False Beliefs: Completeness and Expressivity Results for the Neighborhood Semantics.Jie Fan - 2021 - Studia Logica 110 (1):1-45.details In this article, we study logics of unknown truths and false beliefs under neighborhood semantics. We compare the relative expressivity of the two logics. It turns out that they are incomparable over various classes of neighborhood models, and the combination of the two logics are equally expressive as standard modal logic over any class of neighborhood models. We propose morphisms for each logic, which can help us explore the frame definability problem, show a general soundness and completeness result, and generalize (...) Download Export citation Bookmark 2 citations
A Unified Logic for Contingency and Accident.Jie Fan - 2022 - Journal of Philosophical Logic 51 (4):693-720.details As shown in Fan, there are some similarities/resemblances between contingency and accident. Given this, one may naturally ask if we can unify the two operators to manifest all of their similarities/resemblances. In this article, instead of looking at the interactions between the two operators like in Fan, we turn our attention to the resemblances between the two operators. We extend the unification method in Fan to the current setting. The main results include some model-theoretical ones, such as expressivity, frame definability, (...) Download Export citation Bookmark

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