A Taxonomy of the Greimas Square
In this article I introduce the semiotic square by A.J. Greimas and the notions of negation and opposition that were central to the Paris School of structural semiotics. I trace the connection of the square to both Aristotle’s square of opposition and the Klein four-group as well as propose a formal...
| Published in: | Axioms |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/3/207 |
| Summary: | In this article I introduce the semiotic square by A.J. Greimas and the notions of negation and opposition that were central to the Paris School of structural semiotics. I trace the connection of the square to both Aristotle’s square of opposition and the Klein four-group as well as propose a formalization of the square. This is first achieved through identifying <i>R</i>-relations on meta-term/seme pairs of the square, then applying lattice theory and formal concept analysis in order to visualize an extended structure. The main result is a protoconcept algebra that generalizes the Greimas square through Boolean operations and provides an ordering of all possible formal concepts, thereby acting as a taxonomy. |
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| ISSN: | 2075-1680 |