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Leonardi.DB
a logical geometry project

The Square of Opposition in Catholic hands: a chapter in the history of 20th-century logic (2016), p. 11
by Jaspers, Dany; Seuren, Pieter A. M.

Caption

System S$^\text{12NR+}$ (a) as a (non-complete) dodecagon, (b) reduced to a hexagon.

Logic

Aristotelian family
Degenerate Sigma-3 with Unconnectedness 4
Boolean complexity
4
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
No
Errors in the diagram
No

Geometry

Shape
Dodecagon (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 ...)
Yes
Form
none
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Leuven

Additional notes

Another visualization occurs on p. 11; cf. here.
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