Béziau, Jean-Yves.

Around and Beyond the Square of Opposition [electronic resource] / edited by Jean-Yves Béziau, Dale Jacquette. - X, 379p. 152 illus., 19 illus. in color. online resource. - Studies in Universal Logic . - Studies in Universal Logic .

1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square of Opposition -- 3 The Square of Opposition and Non-Classical Logics -- 4 Constructions Generalizing the Square of Opposition -- 5 Applications of the Square of Opposition.

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 is a very attractive theme which has been going through centuries without evaporating. 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 This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world.

9783034803793

10.1007/978-3-0348-0379-3 doi


Mathematics.
Logic.
Logic, Symbolic and mathematical.
Mathematics.
Mathematical Logic and Foundations.
Logic.
Mathematics, general.

QA8.9-10.3

511.3

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