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The Cube Generalizing Aristotle's Square in Logic of Determination of Objects

Abstract

The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory. The square of opposition from its origin in antiquity to the present day continues to exert a profound impact on the development of deductive logic. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.

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hal-01119757 , version 1 (24-02-2015)

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  • HAL Id : hal-01119757 , version 1

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Anca Christine Pascu, Jean-Pierre Desclés. The Cube Generalizing Aristotle's Square in Logic of Determination of Objects. Beziau Jean-Yves ; Jacquette Dale. Around and Beyond the Square of Opposition, Birkhäuser Springer, pp.277-293, 2012, Studies in Universal Logic, 9783034803786. ⟨hal-01119757⟩
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