"At least one" problem with "some" formal reasoning paradigms (2008), p. 219
by Schmidt, James R.; Thompson, Valerie A.

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Caption

There are three moods in the triangle of opposition. (A) The universal affirmative: “All of the As are Bs.” (E) The universal negative: “None of the As are Bs.” (U) The partition: “Some but not all of the As are Bs,” which is assumed to be equivalent pragmatically to “Some of the As are Bs” and “Some of the As are not Bs.”

Logic

Aristotelian family

Contrariety 3-clique

Boolean complexity

3

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

Triangle (regular)

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

linguistic

,

symbolic

Language

English

Lexical field

syllogistics

Contains partial sentences or single words

Yes

Contains abbreviations

No

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

syllogistics

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

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