Fuzzy Syllogisms, Numerical Square, Triangle of Contraries, Inter-bivalence (2012), p. 252
by Cavaliere, Ferdinando

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Caption

Numerical Distinctive square

Logic

Aristotelian family

Sigma-9 Graph

Number of labels per vertex (at most)

2

Equivalence between (some) labels of the same vertex

Yes

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

3–4

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

No

Logical system

syllogistics

,

generalized quantifier theory

Edge description

Style

Diagram is colored

No

Diagram is embellished

No