Modal definability in Kripke's theory of truth

James Walsh

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arXiv · 2406.17091

Modal definability in Kripke's theory of truth

James Walsh

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Abstract

In Outline of a Theory of Truth, Kripke introduces some of the central concepts of the logical study of truth and paradox. He informally defines some of these -- such as groundedness and paradoxicality -- using modal locutions. We introduce a modal language for regimenting these informal definitions. Though groundedness and paradoxicality are expressible in the modal language, we prove that intrinsicality -- which Kripke emphasizes but does not define modally -- is not. We characterize the modally definable relations and completely axiomatize the modal semantics.

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James Walsh. 2024-06-24. Modal definability in Kripke's theory of truth. https://arxiv.org/abs/2406.17091

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