An Analysis of Poly-connexivity

Studia Logica 110 (4):925-947 (2022)
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Abstract

Francez has suggested that connexivity can be predicated of connectives other than the conditional, in particular conjunction and disjunction. Since connexivity is not any connection between antecedents and consequents—there might be other connections among them, such as relevance—, my question here is whether Francez’s conjunction and disjunction can properly be called ‘connexive’. I analyze three ways in which those connectives may somehow inherit connexivity from the conditional by standing in certain relations to it. I will show that Francez’s connectives fail all these three ways, and that even other connectives obtained by following more closely Wansing’s method to get a connexive conditional, fail to be connexive as well.

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Author's Profile

Luis Estrada-González
National Autonomous University of Mexico

References found in this work

Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.
Reasoning with logical bilattices.Ofer Arieli & Arnon Avron - 1996 - Journal of Logic, Language and Information 5 (1):25--63.
Connexive implication.Storrs Mccall - 1966 - Journal of Symbolic Logic 31 (3):415-433.
Constructible Falsity.David Nelson - 1950 - Journal of Symbolic Logic 15 (3):228-228.

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