Truthmaker Semantics for Epistemic Logic

In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Springer Verlag. pp. 295-335 (2023)
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Abstract

We explore some possibilities for developing epistemic logic using truthmaker semantics. We identify three possible targets of analysis for the epistemic logician. We then list some candidate epistemic principles and review the arguments that render some controversial. We then present the classic Hintikkan approach to epistemic logic and note—as per the ‘problem of logical omniscience’—that it validates all of the aforementioned principles, controversial or otherwise. We then lay out a truthmaker framework in the style of Kit Fine and present six different ways of extending this semantics with a conditional knowledge operator, drawing on notions of implication and content that are prominent in Fine’s work. We demonstrate that different logics are thereby generated, bearing on the aforementioned epistemic principles. Finally, we offer preliminary observations about the prospects for each logic.

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Author Profiles

Peter Hawke
Lingnan University
Aybüke Özgün
University of Amsterdam

References found in this work

Angellic Content.Kit Fine - 2016 - Journal of Philosophical Logic 45 (2):199-226.
Basic knowledge and the problem of easy knowledge.Stewart Cohen - 2002 - Philosophy and Phenomenological Research 65 (2):309-329.
Transmission of Justification and Warrant.Luca Moretti & Tommaso Piazza - 2013 - The Stanford Encyclopedia of Philosophy.
The Problem of the Criterion.Roderick Chisholm - 2008 - In Duncan Pritchard & Ram Neta (eds.), Arguing About Knowledge. New York: Routledge. pp. 441.
Toward a Logic of A Priori Knowledge.C. Anthony Anderson - 1993 - Philosophical Topics 21 (2):1-20.

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