On the Transformations of the Square of Opposition from the Point of View of Institution Model Theory

Abstract

In recent decades, research in the square of opposition has been increased. New interpretations, extensions, and generalizations have been suggested, both Aristotelian and non-Aristotelian ones. The paper attempts at comparing different versions of the square of opposition. For this reason, we appeal to the wider categorical model-theoretic framework of the theory of institutions. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.