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Leonardi.DB
a logical geometry project

The Medieval Octagon of Opposition for Sentences with Quantified Predicates (2014), p. 365
by Campos Benítez, Juan Manuel

Logic

Aristotelian family
Non-Sigma
Number of labels per vertex (at most)
2
Equivalence between (some) labels of the same vertex
No
Analogy between (some) labels of the same vertex
No
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
N.A.

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
quantification of the predicate

Additional notes

(...) stands for universal quantification

[...] stands for existential quantification

/ stands for negation

The dotted lines on the diagonals represent subcontrariety. It can be shown that the four other pairs of formulas are unconnected.
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