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

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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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First archival date: 2015-11-21
Latest version: 2 (2016-01-03)
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The Power of the Hexagon.Béziau, Jean-Yves
Category Theory.[author unknown]
Why the Logical Hexagon?Moretti, Alessio

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