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Around and Beyond the Square of Opposition

Part of the series Studies in Universal Logic pp 41-52

Boethius on the Square of Opposition

  • Manuel CorreiaAffiliated withFacultad de Filosofía, Pontificia Universidad Católica de Chile Email author 

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Abstract

This article intends to reconstruct the textual tradition of the square of oppositions from the earliest textual sources just as treated in Boethius’ commentaries on Aristotle’s De Interpretatione and his treatises on syllogistic, De syllogismo categorico and Introductio ad syllogismos categoricos. The research discovers two different tracks. One way comes from Plato’s Sophist and Aristotle’s De Interpretatione, and the aim is to distinguish contrariety from contradiction. The second influence also starts from Aristotle, but now in connection with his Prior Analytics and its commentaries and treatises on categorical syllogistic, where the aim is to show the square as one of the three main chapters of the complete theory of categorical logic. I suggest that this double ingredient has accompanied the development of the square from the very original beginning of logic.

Keywords

Categorical logic Square of oppositions Logical/material truths Tradition of commentaries and treatises on Aristotelian logic Theory of oppositions

Mathematics Subject Classification

03-02 03B65