Plurivalent logics

Graham Priest

University of Melbourne

pp. 169-179

in: Vladimir Markin, Dmitry Zaitsev (eds), The logical legacy of Nikolai Vasiliev and modern logic, Berlin, Springer, 2017

Abstract

In this paper I describe a construction which can be applied to any many-valued logic to give a plurivalent logic, that is, a logic in which formulas may take more than one value. Various results are established concerning the relationship between the many-valued logic and the corresponding plurivalent logic; and a detailed analysis is provided of the relationship between the two for a small family of many-valued logics related to the logic of First Degree Entailment.