BINARY KRIPKE SEMANTICS FOR A STRONG LOGIC FOR NAIVE TRUTH

Author:

MIDDLETON BEN

Abstract

Abstract I show that the logic $\textsf {TJK}^{d+}$ , one of the strongest logics currently known to support the naive theory of truth, is obtained from the Kripke semantics for constant domain intuitionistic logic by (i) dropping the requirement that the accessibility relation is reflexive and (ii) only allowing reflexive worlds to serve as counterexamples to logical consequence. In addition, I provide a simplified natural deduction system for $\textsf {TJK}^{d+}$ , in which a restricted form of conditional proof is used to establish conditionals.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy,Mathematics (miscellaneous)

Reference14 articles.

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3. Natural deduction systems for some quantified relevant logics;Brady;Logique Et Analyse,1984

4. Outline of a Theory of Truth

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