An intermediate term functor logic (2019), p. 21
by Castro-Manzano, José Martín

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Caption

Extended square of opposition (adapted from (Thompson, 1982, 77)

Logic

Aristotelian family

Non-Sigma

Boolean complexity

7

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Rectangle (irregular)

Colinearity range

0–3

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

Language

English

Lexical field

quantifiers

Contains partial sentences or single words

No

Contains abbreviations

Yes

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

The negation closure of this diagram (which is obtained by adding the negations of T and D) is a sigma-6 ladder.