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Birkhäuser - Birkhäuser Mathematics | Around and Beyond the Square of Opposition

Around and Beyond the Square of Opposition

Beziau, Jean-Yves, Jacquette, Dale (Eds.)

2012, X, 379p. 152 illus., 19 illus. in color.

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  • Exclusively dedicated to the square of oppositions
  • Presenting the topic from an interdisciplinary perspective
  • Of interest for mathematical logicians as well as philosophers

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 This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world.

Content Level » Research

Keywords » intuitionistic logic - knowledge - linear logic - modal logic - paraconsistent logic - syllogism

Related subjects » Birkhäuser Mathematics

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