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Some Connections Between Epistemic Logic and the Theory of Nonadditive Probability

In Paul Humphreys (ed.), Patrick Suppes: Scientific Philosopher. Dordrecht: Kluwer. pp. 135-171 (1992)

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  1. On the Logic of Common Belief and Common Knowledge.Luc Lismont & Philippe Mongin - 1994 - Theory and Decision 37 (1):75-106.
    The paper surveys the currently available axiomatizations of common belief (CB) and common knowledge (CK) by means of modal propositional logics. (Throughout, knowledge- whether individual or common- is defined as true belief.) Section 1 introduces the formal method of axiomatization followed by epistemic logicians, especially the syntax-semantics distinction, and the notion of a soundness and completeness theorem. Section 2 explains the syntactical concepts, while briefly discussing their motivations. Two standard semantic constructions, Kripke structures and neighbourhood structures, are introduced in Sections (...)
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  • La Connaissance Commune: Une Sémantique Pour la Logique Modale.L. Lismont & P. Mongin - 1993 - Logique Et Analyse 133 (134):133-149.
    This French paper is a prelimary report on the authors' work on the logics of common knowledge and common belief. See L. Lismont and P. Mongin, "On the logic of common belief and common knowledge", Theory and Decision 37 (1): 75-106. 1994 for a more complete report.
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