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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 This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.
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https://hal.univ-brest.fr/hal-01119757
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Submitted on : Tuesday, February 24, 2015 - 8:38:02 AM
Last modification on : Monday, March 2, 2020 - 6:24:44 PM

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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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