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In this paper, I will present two approaches to epistemic logic in the setting of relevant logics. One uses the framework of equivalence relations representing indistinguishability, found in much work in epistemic logics. The other, does not use equivalence relations, but is more common in the area of relevant logics. I will argue that the former has many advantages over the latter while avoiding some of the standard criticisms leveled against the use of equivalence relations in classically based epistemic logic.

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Ignorance and the Possibility of Error in Relevant Epistemic Logic

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  • 发表日期：

    2026年

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  • Shawn Standefer

摘要

In this paper, I will present two approaches to epistemic logic in the setting of relevant logics. One uses the framework of equivalence relations representing indistinguishability, found in much work in epistemic logics. The other, does not use equivalence relations, but is more common in the area of relevant logics. I will argue that the former has many advantages over the latter while avoiding some of the standard criticisms leveled against the use of equivalence relations in classically based epistemic logic.