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Leonardi.DB
a logical geometry project

The Geometry of Logical Opposition (2009), p. 241
by Moretti, Alessio

Logic

Aristotelian family
Non-Sigma
Boolean complexity
5
Number of labels per vertex (at most)
1
Errors in the diagram
No

Geometry

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

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
symbolic
Symbolic field
mathematics
Mathematical branch
set theory

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

Additional notes

This diagram is decorated with Pellissier's "setting" technique, which is equivalent to bitstring semantics. In particular, $\wp(\{1,2,3,4,5\})$ corresponds to bitstrings of length 5.

The negation closure of this diagram is a Lenzen sigma-4.
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