The Many Faces of Closure and Introspection

Journal of Philosophical Logic 42 (1):91-124 (2013)
In this paper I present a more refined analysis of the principles of deductive closure and positive introspection. This analysis uses the expressive resources of logics for different types of group knowledge, and discriminates between aspects of closure and computation that are often conflated. The resulting model also yields a more fine-grained distinction between implicit and explicit knowledge, and places Hintikka’s original argument for positive introspection in a new perspective.
Keywords Closure  Common Knowledge  Deductive Omniscience  Distributed Knowledge  Epistemic Logic  Introspection  Knowability
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DOI 10.1007/s10992-011-9214-2
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