Revisiting Reichenbach's logic

Synthese. 2021;199(5-6):11821-11845. doi: 10.1007/s11229-021-03313-2. Epub 2021 Jul 27.

Abstract

In this paper we show that, when analyzed with contemporary tools in logic-such as Dunn-style semantics, Reichenbach's three-valued logic exhibits many interesting features, and even new responses to some of the old objections to it can be attempted. Also, we establish some connections between Reichenbach's three-valued logic and some contra-classical logics.

Keywords: Contra-classical logics; Cyclical negation; Dunn semantics; Quasi-implication; Reichenbach’s logic.