Playing Cards with Hintikka: An introduction to dynamic epistemic logic

Australasian Journal of Logic 3:108-134 (2005)
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Abstract

This contribution is a gentle introduction to so-called dynamic epistemic logics, that can describe how agents change their knowledge and beliefs. We start with a concise introduction to epistemic logic, through the example of one, two and finally three players holding cards; and, mainly for the purpose of motivating the dynamics, we also very summarily introduce the concepts of general and common knowledge. We then pay ample attention to the logic of public announcements, wherein agents change their knowledge as the result of public announcements. One crucial topic in that setting is that of unsuccessful updates: formulas that become false when announced. The Moore-sentences that were already extensively discussed at the conception of epistemic logic in Hintikka’s ‘Knowledge and Belief’ give rise to such unsuccessful updates. After that, we present a few examples of more complex epistemic updates. Our closing observations are on recent developments that link the ‘standard’ topic of belief revision, as in ‘On the Logic of Theory Change: partial meet contraction and revision functions’, by Alchourron et al. , to the dynamic epistemic logics introduced here

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Author Profiles

Wiebe Van Der Hoek
University of Liverpool
Barteld Kooi
University of Groningen

Citations of this work

Interrogative Belief Revision in Modal Logic.Sebastian Enqvist - 2009 - Journal of Philosophical Logic 38 (5):527-548.
Reasoning About Belief Revision.Caroline Semmling & Heinrich Wansing - 2011 - In Erik J. Olson Sebastian Enqvist (ed.), Belief Revision Meets Philosophy of Science. Springer. pp. 303--328.

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