Was Lewis Carroll an Amazing Oppositional Geometer? (2014), p. 389
by Moretti, Alessio

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Caption

Some of the conceptual dimensions of the formal usefulness of the square of opposition. - categories

Logic

Aristotelian family

Classical Sigma-2

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

Square (regular)

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

dots

Label type

linguistic

Language

English

Lexical field

syllogistics

Contains partial sentences or single words

Yes

Contains abbreviations

No

Edge description

Style

Diagram is colored

Yes

Diagram is embellished

No

Tags

existential import