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Leonardi.DB
a logical geometry project

Logical Geometries and Information in the Square of Oppositions (2014), p. 557
by Smessaert, Hans; Demey, Lorenz

Caption

The a opposition, b Aristotelian and c implication Sherwood-Cze┼╝owski hexagon for $\ \{\Box p, \Box\neg p, \Diamond p, \Diamond\neg p, p, \neg p\}$

Logic

Aristotelian family
Sherwood-Cze┼╝owski Sigma-3
Boolean complexity
4
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
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
modal logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Leuven
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