Why the hexagon of opposition is really a triangle: logical structures as geometric shapes - Ori Milstein - LUW April 24, 2024, 4pm CET

[jean-yves beziau]

Logica Universalis Webinar

April 24, 2024 at 4pm CET

Speaker:  Ori Milstein 

https://philpeople.org/profiles/ori-milstein

Title: "Why the hexagon of opposition is really a triangle: logical structures as geometric shapes"

Abstract: "This paper suggests a new approach (with old roots) to the

study of the connection between logic and geometry. Traditionally, most
logic diagrams associate only vertices of shapes with propositions. The
new approach, which can be dubbed ’full logical geometry’, aims to
associate every element of a shape (edges, faces, etc.) with a proposition.
The roots of this approach can be found in the works of Carroll,
Jacoby, and more recently, Dubois and Prade. However, its potential
has not been duly appreciated, probably because of the complexity of
the diagrams in these works. The following study demonstrates how the
Hexagon of Opposition can be represented as a triangle and Classical
Logic as a tetrahedron (rather than a rhombic dodecahedron). It then
applies the approach to modal logic, extending the tetrahedron for the
logic KT into a dipyramid and a cube for KD, and finally an octahedron

for K. Some possible directions for further research are also indicated.."

https://link.springer.com/journal/11787

Associate event

World Congress on the Square of Opposition

SQUARE 8 - Costa Rica  Sept 6-13, 2024

https://sites.google.com/view/square8-2024

Presented by Pablo Villalobos Morera and Lorenzo Boccafogli 

 

Chair : Arnon Avron

https://www.cs.tau.ac.il/~aa/

Editorial Board LU

Everybody is welcome to join, register here:

https://cassyni.com/events/VF7GYYaHGPGZiFeSZDibRX

Jean-Yves Beziau

Editor of Logica Universalis and Organizer of LUW

https://philpeople.org/profiles/jean-yves-beziau