On the empty O-corner of the Aristotelian Square: A view from Singapore English (2017), p. 6
by Ziegeler, Debra

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Caption

The Aristotelian Square of Oppositions according to Horn (2004:11).

Logic

Aristotelian family

Classical Sigma-2

Boolean complexity

3

Number of labels per vertex (at most)

3

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

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By central symmetry

Vertex description

Conceptual info

Yes

Mnemonic support (AEIO, purpurea ...)

Yes

Form

none

Label type

linguistic

,

symbolic

Language

English

Lexical field

syllogistics

Contains partial sentences or single words

No

Contains abbreviations

Yes

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

syllogistics

Edge description

Contains definitions of relations

No

Form

bold solid lines

,

solid lines

Has arrowheads

No

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

Yes

Label type

linguistic

,

none

Language

English

Contains partial sentences or single words

Yes

Contain abbreviations

No

Style

Diagram is colored

No

Diagram is embellished

No

Has related diagram

Horn, Laurence. 2004. “Implicature.” In The Handbook of Pragmatics, edited by Laurence Horn and Gregory Ward, 3–28. Malden, MA: Blackwell. (p. 11)

Additional notes

The reference to Horn (2004) in the caption concerns this paper.