The Square : a Central Object for Thought

The square of opposition is a very famous theme coming from 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, used it.

The Hexagon of Opposition of Robert Blanché was a major step in the development of the theory of opposition

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 5th world congress organized about the square of opposition after very successful previous editions in Montreux, Switzerland 2007, Corté, Corsica 2010, Beirut, Lebanon 2012, Vatican, 2014. This is an interdisciplinary event gathering logicians, philosophers, mathematicians, semioticians, theologians, cognitivists, artists and computer scientists.

The Square of Opposition: a Simple Structure with many Applications

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