Relating Semantics for Hyper-Connexive and Totally Connexive Logics

Jacek Malinowski; Ricardo Arturo Nicolás-Francisco

doi:10.12775/LLP.2023.011

Authors

Jacek Malinowski Institute of Philosophy and Sociology, Polish Academy of Sciences, Warszawa https://orcid.org/0000-0001-8620-5004
Ricardo Arturo Nicolás-Francisco Department of Logic, Nicolaus Copernicus University in Toruń; and National Autonomous University of Mexico https://orcid.org/0000-0001-5490-9357

DOI:

https://doi.org/10.12775/LLP.2023.011

Keywords

Abelardian axiom, Boolean connexive logics, hyper-connexivity, relating semantics, totally connexive logics

Abstract

In this paper we present a characterization of hyper-connexivity by means of a relating semantics for Boolean connexive logics. We also show that the minimal Boolean connexive logic is Abelardian, strongly consistent, Kapsner strong and antiparadox. We give an example showing that the minimal Boolean connexive logic is not simplificative. This shows that the minimal Boolean connexive logic is not totally connexive.

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