Squares of Oppositions, Commutative Diagrams, and Galois Connections for Topological Spaces and Similarity Structures

Abstract

The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.

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Thomas Mormann
Ludwig Maximilians Universität, München (PhD)

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References found in this work

Category Theory.S. Awodey - 2007 - Bulletin of Symbolic Logic 13 (3):371-372.
The power of the hexagon.Jean-Yves Béziau - 2012 - Logica Universalis 6 (1-2):1-43.
Sur l'opposition des concepts.Robert Blanche - 1953 - Theoria 19 (3):89-130.
Category Theory.[author unknown] - 2007 - Studia Logica 86 (1):133-135.

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