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An Analysis of Poly-connexivity

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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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Acknowledgements

I want to thank NCU’s generous support through an IDUB mobility award and also support from the PAPIIT Project IN403719. I also want to thank Diderik Batens, Fernando Cano-Jorge, Tomasz Jarmużek, Mateusz Klonowski, Francisco Martínez-Aviña, Joke Meheus and the attendees of the IIF-UNAM/BA Logic Workshop on Philosophical Logic for their useful comments on previous versions of this paper. Special thanks go to the referees for their most valuable comments, suggestions and criticisms which greatly helped me to improve the typescript.

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Correspondence to Luis Estrada-González.

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Estrada-González, L. An Analysis of Poly-connexivity. Stud Logica 110, 925–947 (2022). https://doi.org/10.1007/s11225-022-09985-2

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