New articulations of the theory of oppositions : seventh World Congress on the Square of Opposition / Jean-Yves Beziau, Julio Michael Stern, editors

Format:

Book

Conference/Event

Contributor:

Béziau, Jean-Yves, editor.

Stern, Julio Michael, editor.

Conference Name:

World Congress on the Square of Opposition (7th : 2022 : Leuven, Belgium)

Series:

Studies in universal logic 2297-0290

Studies in universal logic, 2297-0290

Language:

English

Subjects (All):

Opposition, Theory of--Congresses.

Opposition, Theory of.

Genre:

Conference papers and proceedings

Physical Description:

1 online resource : illustrations.

black and white

illustrations

Place of Publication:

Cham, Switzerland : Birkhäuser, [2026]

Summary:

"This proceedings volume stems from the 7th World Congress on the Square of Opposition, which took place in Leuven, Belgium, in September 2022, after the previous editions in Montreux, Switzerland in 2007, Corté, Corsica, in 2010, Beirut, Lebanon in 2012, Vatican City in 2014, Easter Island in 2016, and Crete in 2018. This interdisciplinary event gathered logicians, philosophers, mathematicians, semioticians, theologians, cognitivists, artists, and computer scientists. The theory of the square of opposition was developed based on a logical structure coming from Aristotelian logic, a square, which was expanded into more complex geometrical objects: hexagons, octagons, polyhedra, and even four-dimensional objects. It has been continuously studied for two thousand years and it can also be found in works by Gottlob Frege. Such a logical construction can be applied to many fields, ranging from metalogic to highway code, through economics, music, physics, color theory, and theology. This volume contains new advances on the different aspects of this theory: its history, philosophy, application, and mathematical shapes. The articles in this volume will be of interest to researchers and students in logic, mathematics, and philosophy alike"-- Sprigner Nature Link

Contents:

Multidimensional oppositions in Flatland / Jean-Yves Beziau and Julio Michael Stern

Nelson’s logical diagrams / Andrew Aberdein

Internal logics of logical hexagons in 3-oppositional quadrisimplexes / Régis Angot-Pellissier

A hexagon of opposition to clarify Kant’s two dichotomies analytic/synthetic—a priori/a posteriori / Jean-Yves Beziau

On the uniqueness of the contrary / Ryan Christensen

Logic meets semiotics : from Greimas’ square to the structure of semantic universes / Duilio D’Alfonso

Theories of opposites before Aristotle / Tatiana Denisova and Ioannis M. Vandoulakis

Defining universal logic as composed by a logical structure of two kinds of square of opposition and their mutual translations / Antonino Drago

Two octagons of opposition for a variety of theisms and atheisms / José David García-Cruz

Tetrahedron of oppositions : a study in non-classical logics / Kherian Gracher

Three notions of contingency—some historical considerations / Wolfgang Lenzen

Squares, octagons, hexadecagons, and beyond : the intuitionistic case / François Lepage

Approximating to universal logic : combining different kinds of modalities in one formal axiomatic theory modeled graphically by the opposition-square-and-hexagon / Vladimir Lobovikov

Ontological neutrality : the square of opposition and abstract model theory / Evangelos Plithas, Asterios Gkantzounis, and Petros Stefaneas

Intensional and extensional semantics for apodeictic syllogistics / Robert van Rooij

Notes:

Includes bibliographical references

Online resource; title from PDF title page (Springer Nature Link, viewed July 14, 2026)

Other Format:

Print version: World Congress on the Square of Opposition (7th : 2022 : Leuven, Belgium) New articulations of the theory of oppositions

ISBN:

9783032130679

3032130670

OCLC:

1602841040

Access Restriction:

Restricted for use by site license