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Leonardi.DB
a logical geometry project

The Power of the Hexagon (2012), p. 31
by Beziau, Jean-Yves

Caption

A red and black hexagon of opposition

Logic

Aristotelian family
A Single PCD
Boolean complexity
2
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
No
Errors in the diagram
No

Geometry

Shape
Hexagon (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
No
Logical system
propositional logic

Edge description

Style

Diagram is colored
Yes
Diagram is embellished
No
Tags
Boolean closed
;
non-contingent formulas

Additional notes

Subalternation is here understood in the weak sense, i.e., as including the possibility of logical equivalence.

This diagram contains a tautology and a contradiction, and is thus not restricted to contingent propositions.
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