Structural rules and paradoxes

BRUNO DA RE

Workshop; VIII Workshop On Philosophical Logic; 2019

Recently, several authors have pointed out that substructural logics are adequate to deal with semantic paradoxes. Among them, three proposals have been explored: dropping cut, dropping contraction and dropping reflexivity. In this talk I present a new solution, based on abandoning weakening while keeping the other structural rules, and discuss how dependent on the features of their sequent-calculi the substructural solutions are.