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.

Author's Profile

Thomas Mormann
Ludwig Maximilians Universität, München (PhD)

Analytics

Added to PP
2015-07-24

Downloads
567 (#28,773)

6 months
83 (#54,787)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?