UNIVOCITY OF INTUITIONISTIC AND CLASSICAL CONNECTIVES

Abstract This paper investigates the univocity (or uniqueness) of connectives in intuitionistic and classical sentential logic. Specifically, unlike Gentzen systems, Hilbert systems for (various fragments of) intuitionistic and classical logic do not always determine univocal (or unique) conditional connectives. This paper explains when univocal conditional connectives are achieved in Hilbert systems for intuitionistic and classical sentential logic (and when they are not). In the final section, we discuss the (non-)univocity of the Sheffer stroke in Hilbert vs. Gentzen systems for classical sentential logic.