Between Square and Hexagon in Oresme's Livre du Ciel et du Monde (2020), p. 41
by Demey, Lorenz

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Caption

(a) Abstract pentagon of opposition; (b) Kalinowski’s deontic pentagon; (c) Gildin’s moral pentagon; (d) Horn’s quantificational pentagon.

Logic

Aristotelian family

Non-Sigma

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

Pentagon (irregular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

N.A.

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

none

Label type

linguistic

Language

English

Lexical field

deontic operators

Contains partial sentences or single words

Yes

Contains abbreviations

No

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Leuven

Additional notes

The negation closure of this diagram is a JSB sigma-3.