David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Logic, Language and Information 20 (2):137-159 (2011)
Diachronic uncertainty, uncertainty about where an agent falls in time, poses interesting conceptual difficulties. Although the agent is uncertain about where she falls in time, this uncertainty can only obtain at a particular moment in time. We resolve this conceptual tension by providing a transformation from models with diachronic uncertainty relations into “equivalent” models with only synchronic uncertainty relations. The former are interpreted as capturing the causal structure of a situation, while the latter are interpreted as capturing its epistemic structure. The models are equivalent in the sense that agents pass through the same information sets in the same order, In this paper, we investigate how such a transformation may be used to define an appropriate notion of equivalence, which we call epistemic equivalence. Although our project is motivated by problems which have arisen in a variety of disciplines, especially philosophy and game theory, our formal development takes place within the general and flexible framework provided by epistemic temporal logic
|Keywords||Diachronic uncertainty Epistemic temporal logic The absent-minded driver Absent-mindedness Sleeping beauty|
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References found in this work BETA
Adam Elga (2000). Self-Locating Belief and the Sleeping Beauty Problem. Analysis 60 (2):143–147.
Michele Piccione & Ariel Rubinstein, On the Interpretation of Decision Problems with Imperfect Recall.
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