Fuzzy Syllogisms, Numerical Square, Triangle of Contraries, Inter-bivalence (2012), p. 244
by Cavaliere, Ferdinando

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Caption

Exclusive triangle

Logic

Aristotelian family

Contrariety 3-clique

Boolean complexity

3

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Triangle (irregular)

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

logic

Contains partial formulas or symbols

No

Logical system

syllogistics

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

subject negation

Additional notes

Xba = Aab = Ab'a'

Wba = Ab'a

Jba = Ib'a $\wedge$ Ib'a' = $\neg$Xba $\wedge$ $\neg$Wba

(Cf. p. 244.)

The negation closure of this diagram is a JSB sigma-3.