Disjunction: Its interpretations and L-truth

Abstract

It has been proposed that disjunction has seven possible interpretations. Thus, it has been claimed that, in addition to the exclusive and inclusive ones, there are five more types of disjunctions. This paper analyzes those seven kinds of disjunction under Carnap’s approach. The goal is to find examples of L-true sentences corresponding to each of the interpretations. The methodology used to carry out the study is based on the theory of mental models. The results show that there can be L-true disjunctive sentences for every type of disjunction.