Adequate Conditionals and Kripke's Theory of Truth

Johannes Stern

doi:10.1007/s10992-025-09792-9

Adequate Conditionals and Kripke's Theory of Truth

Johannes Stern

Department of Philosophy

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

In this paper we show how to introduce a conditional to Kripke’s theory of truth that respects the deduction theorem for the consequence relation associated with the theory. To this effect we develop a novel supervaluational framework, called strong Kleene supervaluation, that we take to be a promising framework for handling the truth-conditions of non-monotone notion in the presence of semantic indeterminacy more generally.

Original language	English
Pages (from-to)	451-491
Number of pages	41
Journal	Journal of Philosophical Logic
Volume	54
Issue number	2
Early online date	24 Apr 2025
DOIs	https://doi.org/10.1007/s10992-025-09792-9
Publication status	E-pub ahead of print - 24 Apr 2025

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© The Author(s) 2025.

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AB - In this paper we show how to introduce a conditional to Kripke’s theory of truth that respects the deduction theorem for the consequence relation associated with the theory. To this effect we develop a novel supervaluational framework, called strong Kleene supervaluation, that we take to be a promising framework for handling the truth-conditions of non-monotone notion in the presence of semantic indeterminacy more generally.

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Adequate Conditionals and Kripke's Theory of Truth

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