Knowledge, Time, and Paradox: Introducing Sequential Epistemic Logic

In Hans van Ditmarsch & Gabriel Sandu (eds.), Jaakko Hintikka on Knowledge and Game Theoretical Semantics. Cham, Switzerland: Springer. pp. 363-394 (2018)
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Abstract

Epistemic logic in the tradition of Hintikka provides, as one of its many applications, a toolkit for the precise analysis of certain epistemological problems. In recent years, dynamic epistemic logic has expanded this toolkit. Dynamic epistemic logic has been used in analyses of well-known epistemic “paradoxes”, such as the Paradox of the Surprise Examination and Fitch’s Paradox of Knowability, and related epistemic phenomena, such as what Hintikka called the “anti-performatory effect” of Moorean announcements. In this paper, we explore a variation on basic dynamic epistemic logic—what we call sequential epistemic logic—and argue that it allows more faithful and fine-grained analyses of those epistemological topics.

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Wesley H. Holliday
University of California, Berkeley

Citations of this work

Inexact knowledge and dynamic introspection.Michael Cohen - 2021 - Synthese 199 (3-4):5509-5531.
Everything is learnable, once it is settled.Kevin Xu - 2021 - Synthese 199 (1-2):4795-4817.

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