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Leonardi.DB
a logical geometry project

Detecting influential news in online communities: An approach based on hexagons of opposition generated by three-way decisions and probabilistic rough sets (2021), p. 367
by Abbruzzese, Roberto; Gaeta, Angelo; Loia, Vincenzo; Lomasto, Luigi; Orciuoli, Francesco

Caption

Hexagon and Squares of oppositions (from [12]).

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Rectangle (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
Yes
Form
dots
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

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

Style

Diagram is colored
No
Diagram is embellished
No
Tags
subdiagram

Additional notes

Reference [12] in the caption is A. Moretti, 2012, Why the Logical Hexagon? Logica Universalis 6: 69 - 107; cf. here.
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