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The Surprise Examination in Dynamic Epistemic Logic
Authors:J. Gerbrandy
Affiliation:(1) Dipartimento di Informatica, University of Turin, Corso Svizzera 185, 10149 Torino, Italy
Abstract:We examine the paradox of the surprise examination using dynamic epistemic logic. This logic contains means of expressing epistemic facts as well as the effects of learning new facts, and is therefore a natural framework for representing the puzzle. We discuss a number of different interpretations of the puzzle in this context, and show how the failure of principle of success, that states that sentences, when learned, remain to be true and come to be believed, plays a central role in understanding the puzzle.
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