The Square : a Central Object for Thought

The square of opposition is a very famous theme related to Aristotelian logic dealing with the notions of opposition, negation, quantification and proposition. It has been continuously studied by people interested in logic, philosophy and Aristotle during two thousand years. Even Frege, one of the main founders of modern mathematical logic, uses it.

During the 20th century the interest for the square of opposition has been extended to many areas, cognitive science ultimately.


Some people have proposed to replace the square by a triangle, on the other hand the square has been generalized into more complex geometrical objects: hexagons, octagons and even polyhedra and multi-dimensional objects.

Aim of the Congress

This will be the second world congress organized about the square of opposition after a very succesful first edition organized in Montreux, Switzerland in 2007.

The square will be considered in its various aspects. There will be talks by the best specialists of the square and this will be an interdisciplinary event gathering people from various fields : logic, philosophy, mathematics, psychology, linguistics, anthropology, semiotics. Visual and artistic representations of the square will also be presented.



The meeting will end by a final round square table where subalterned people will express their various contrarieties, subcontrarieties and contradictions.