English

Adequate conditionals and Kripke's theory of truth

Logic 2024-07-22 v1

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.

Keywords

Cite

@article{arxiv.2407.14284,
  title  = {Adequate conditionals and Kripke's theory of truth},
  author = {Johannes Stern},
  journal= {arXiv preprint arXiv:2407.14284},
  year   = {2024}
}