Minimal negation in the ternary relational semantics
Gemma Robles, José M. Méndez, Francisco Salto · PhilPapers (PhilPapers Foundation) · 2005
A b s t r a c t. Minimal Negation is defined within the basic positive relevance logic in the relational ternary semantics: B+. Thus, by defining a number of subminimal negations in the B+ context, principles of weak negation are shown to be isolable. Complete ternary semantics are offered for minimal negation in B+. Certain forms of reductio are conjectured to be undefinable (in ternary frames) without extending the positive logic. Com-plete semantics for such kinds of reductio in a properly extended positive logic are offered. Captatio benevolentiae 1.