A Bitstring Semantics for Calculus CL (2022), p. 179
by Lemanski, Jens; Schang, Fabien

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Caption

Square of Oppositions: (a) Categorical propositions. (b) Modal propositions

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

Yes

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

none

Label type

linguistic

Language

English

Lexical field

modalities

Contains partial sentences or single words

No

Contains abbreviations

Yes

Edge description

Contains definitions of relations

No

Form

solid lines

Has arrowheads

No

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

linguistic

Language

English

Contains partial sentences or single words

Yes

Contain abbreviations

Yes

Style

Diagram is colored

No

Diagram is embellished

No

Tags

duality

Additional notes

In the lower left corner, 'Not necessarily p' should be corrected to 'Not necessarily not p'.