“…I argue elsewhere (Holliday ) that it is the phenomenon of unassimilable announcements described below, not the phenomenon of anti‐performatory announcements, that is relevant to the surprise exam paradox. The distinction between unassimilable and anti‐performatory announcements can also be analyzed in a dynamic epistemic logical framework (Holliday ).…”
The Paradox of the Surprise Examination has been a testing ground for a variety of frameworks in formal epistemology, from epistemic logic to probability theory to game theory and more. In this paper, I treat a related paradox, the Paradox of the Undiscoverable Position (from Sorensen 1982, 1988), as a test case for the possible‐worlds style representation of epistemic states. I argue that the paradox can be solved in this framework, further illustrating the power of possible‐worlds style modeling. The solution also illustrates an important distinction between anti‐performatory and unassimilable announcements of information.
“…I argue elsewhere (Holliday ) that it is the phenomenon of unassimilable announcements described below, not the phenomenon of anti‐performatory announcements, that is relevant to the surprise exam paradox. The distinction between unassimilable and anti‐performatory announcements can also be analyzed in a dynamic epistemic logical framework (Holliday ).…”
The Paradox of the Surprise Examination has been a testing ground for a variety of frameworks in formal epistemology, from epistemic logic to probability theory to game theory and more. In this paper, I treat a related paradox, the Paradox of the Undiscoverable Position (from Sorensen 1982, 1988), as a test case for the possible‐worlds style representation of epistemic states. I argue that the paradox can be solved in this framework, further illustrating the power of possible‐worlds style modeling. The solution also illustrates an important distinction between anti‐performatory and unassimilable announcements of information.
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