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Matrices of concepts : ウィキペディア英語版
Matrices of concepts

The matrices of concepts are a conceptual tool put forth by philosopher Paul Franceschi, that aim at providing an alternative to the semiotic square described by Algirdas Greimas. To the difference of the semiotic square, a matrix of concepts is made up of 6 concepts, from which two are neutral, two are positive and two are negative. The relationships between the 6 concepts of the same matrix can be stated as follows:
* A0 and Ā0 are dual or inverse; A+ and Ā- are contraries; A- and Ā+ are contraries
* A+ and Ā+ are complementary, in the same way as Ā+ and Ā-
* A+ and A- are corollary, in the same way as Ā+ and Ā-
* A0 and A+ are related, in the same way as A0 and A-, Ā0 and Ā+, Ā0 and Ā-
The applications of the matrices of concepts relate to paradigmatic analysis, but also to the dialectical plan, and more generally to the study of concepts.
== References ==

* Paul Franceschi, (English translation of a paper initially published in French under the title ''Le plan dialectique: pour une alternative au paradigme'' ), Semiotica, vol. 146 (1-4), 2003, pp. 353–367
* Andris Teikmanis, (The'use'of'semiotic'modelling as'a'research'tool'of'art'history ), ''Tartu Summer School of Semiotics'', August 2011

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