Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics

Aristotelian diagrams, such as the square of opposition, are well-known in context normal modal logics (i.e., systems logic which can be given a relational semantics terms Kripke models). This paper studies diagrams for non-normal (based on neighborhood semantics, topologically inspired generalization semantics). In particular, we investigate phenomenon logic-sensitivity diagrams. We distinguish between four different types logic-sensitivity, viz. with respect to (i) families, (ii) logical equivalence formulas, (iii) contingency and (iv) Boolean subfamilies family. provide concrete examples that illustrate these realm logic. Next, discuss more subtle not sensitive logics, but nevertheless turn out highly logic-sensitive once