Was Lewis Carroll an Amazing Oppositional Geometer? (2014), p. 390
by Moretti, Alessio

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Caption

The logical square expresses simply the mutual interdefinability of the quantifiers. - vernacular reading

Logic

Aristotelian family

Classical Sigma-2

Boolean complexity

3

Number of labels per vertex (at most)

2

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

Square (regular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By central symmetry

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

dots

Label type

linguistic

Language

English

Lexical field

syllogistics

Contains partial sentences or single words

No

Contains abbreviations

Yes

Edge description

Style

Diagram is colored

Yes

Diagram is embellished

No

Tags

existential import