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A relevant theory of conditionals

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Abstract

In this paper we set out a semantics for relevant (counterfactual) conditionals. We combine the Routley-Meyer semantics for relevant logic with a semantics for conditionals based on selection functions. The resulting models characterize a family of conditional logics free from fallacies of relevance, in particular counternecessities and conditionals with necessary consequents receive a non-trivial treatment.

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Mares, E.D., Fuhrmann, A. A relevant theory of conditionals. J Philos Logic 24, 645–665 (1995). https://doi.org/10.1007/BF01306969

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