Abstract

Despite a renewed interest in Richard Angell’s logic of analytic containment ), the first semantics for \ introduced by Fabrice Correia has remained largely unexamined. This paper describes a reasonable approach to Correia semantics by means of a correspondence with a nine-valued semantics for \. The present inquiry employs this correspondence to provide characterizations of a number of propositional logics intermediate between \ and classical logic. In particular, we examine Correia’s purported characterization of classical logic with respect to his semantics, showing the condition Correia cites in fact characterizes the “logic of paradox” \ and provide a correct characterization. Finally, we consider some remarks on related matters, such as the applicability of the present correspondence to the analysis of the system \ and an intriguing relationship between Correia’s models and articular models for first degree entailment