You're using an ancient browser to surf the modern web. Please update to the latest version (and don't use Internet Explorer!).

Leonardi.DB
a logical geometry project

Why the Logical Hexagon? (2012), p. 78
by Moretti, Alessio

Caption

The minimal conditions for a hexagon of opposition

Logic

Aristotelian family
Non-Sigma
Boolean complexity
3
Number of labels per vertex (at most)
0
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Digon (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
N.A.

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
No
Form
dots
Label type
none

Edge description

Contains definitions of relations
No
Form
solid lines
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
No
Label type
none

Style

Diagram is colored
Yes
Diagram is embellished
No

Additional notes

The negation closure of this diagram is a classical sigma-2.
↑ Back to top ↑