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 This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world.