The Medieval Modal Octagon and the S5 Lewis Modal System (2012), p. 102
by Campos Benítez, Juan Manuel

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Logic

Aristotelian family

Non-Sigma

Boolean complexity

6

Number of labels per vertex (at most)

2

Equivalence between (some) labels of the same vertex

No

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

N.A.

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

Yes

Form

none

Label type

linguistic

,

symbolic

Language

English

Lexical field

modal syllogistics

Contains partial sentences or single words

No

Contains abbreviations

No

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

modal syllogistics

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

The negation closure of this diagram is a Buridan sigma-4.