CFP: 9th World Congress on the Square of Opposition

Submission deadline: April 17, 2026

Conference date(s):
June 22, 2026 - June 26, 2026

Go to the conference's page

Conference Venue:

UQAM
Montréal, Canada

Topic areas

Details

This will be the 9th world congress organized around the square of opposition after very successful previous editions in Montreux, Switzerland 2007; Corte, Corsica 2010; Beirut, Lebanon 2012; Vatican, 2014; Easter Island, 2016, Crete, 2018, Leuven, Belgium 2022, San Jose, Costa Rica, 2024. This is an interdisciplinary event gathering logicians, philosophers, mathematicians, semioticians, theologians, cognitivists, artists and computer scientists.

HISTORY OF THE SQUARE

  • Aristotle, Apuleius, Boethius
  • Avicennes, oppositions in Arabic thought
  • Oppositions in Indian and Chinese thoughts
  • Buridan, Port Royal, Leibniz
  • Vasiliev, Hamilton, Schröder, Frege
  • Sesmat, Blanché
  • Piaget, Lacan, Greimas

APPLICATIONS OF THE SQUARE

  • proof theory, model theory
  • debates and politics
  • psychoanalysis
  • music and arts
  • religion, theology
  • ethics and law
  • perception and cognition 

VARIATIONS OF THE SQUARE

  • squares of quantification
  • alethic, deontic, doxatic modal squares
  • semiotic squares
  • metalogical squares
  • paraconsistent and paracomplete squares
  • intuitionistic and linear squares

EXTENSIONS OF THE SQUARE

  • cubes
  • hexagons and stars
  • octagons and decagons
  • polyhedra and polysimplexes
  • n-opposition theory

SUBMIT A ONE PAGE ABSTRACT  by April 17 to [email protected]

Supporting material

Add supporting material (slides, programs, etc.)