TitleA new modal framework for epistemic logic
AuthorsWang, Yanjing
AffiliationDepartment of Philosophy, Peking University, China
Issue Date2017
Publisher16th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2017
Citation16th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2017. 2017, 251, 515-534.
AbstractRecent years witnessed a growing interest in non-standard epistemic logics of knowing whether, knowing how, knowing what, knowing why and so on. The new epistemic modalities introduced in those logics all share, in their semantics, the general schema of x��, e.g., knowing how to achieve �� roughly means that there exists a way such that you know that it is a way to ensure that �� Moreover, the resulting logics are decidable. Inspired by those particular logics, in this work, we propose a very general and powerful framework based on quantifier-free predicate language extended by a new modalityx, which packs exactly x together. We show that the resulting language, though much more expressive, shares many good properties of the basic propositional modal logic over arbitrary models, such as finite-tree-model property and van Benthem-like characterization w.r.t. first-order modal logic. We axiomatize the logic over S5 frames with intuitive axioms to capture the interaction betweenxand know-that operator in an epistemic setting.
Appears in Collections:哲学系(宗教学系)

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