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Strong Completeness Theorems for Weak Logics of Common Belief
Journal of Philosophical Logic 32 (2):115-137 (2003)
Abstract
We show that several logics of common belief and common knowledge are not only complete, but also strongly complete, hence compact. These logics involve a weakened monotonicity axiom, and no other restriction on individual belief. The semantics is of the ordinary fixed-point typeAuthor's Profile
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Citations of this work
Two Paradoxes of Common Knowledge: Coordinated Attack and Electronic Mail.Harvey Lederman - 2018 - Noûs 52 (4):921-945.
The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation theory.Philippe Mongin - 2012 - Theory and Decision 73 (3):315-355.
Common Knowledge.Harvey Lederman - 2016 - In Kirk Ludwig & Marija Jankovic (eds.), The Routledge Handbook of Collective Intentionality. New York: Routledge. pp. 181-195.
Dynamic Epistemic Logic I: Modeling Knowledge and Belief.Eric Pacuit - 2013 - Philosophy Compass 8 (9):798-814.
Intension, extension, and the model of belief and knowledge in economics.Ivan Moscati - 2012 - Erasmus Journal for Philosophy and Economics 5 (2):1.
References found in this work
Reasoning about knowledge.Ronald Fagin, Joseph Y. Halpern, Yoram Moses & Moshe Vardi - 2003 - Cambridge: MIT Press.
A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
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