Sette’s logics, revisited

One of the simple approaches to paraconsistent logic is in terms of three-valued logics. Assuming the standard behavior with respect to the “classical"values, there are only two possibilities for paraconsistent negation, namely the negation of the Logic of Paradox and the negation of Sette’s logic P ¹. From a philosophical perspective, the paraconsistent negation of P ¹ is less discussed due to the lack of an intuitive reading of the third value. Based on these, the aim of this paper is to fill in the gap by presenting a semantics for P ¹ à la Jaśkowski which sheds some light on the intuitive understanding of Sette’s logic. A variant of P ¹ known as I ¹ will be also discussed.