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Leonardi.DB
a logical geometry project

"Setting" n-Opposition (2008), p. 253
by Pellissier, RĂ©gis

Logic

Aristotelian family
Sigma-5 Graph
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
Three Dimensional Shape (irregular)
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
mathematics
Mathematical branch
set theory

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

From the CO-perspective, this is a C4O1 diagram. (Two strong JSB sigma-3's that are intertwined with each other.)

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