Disentangling Deontic Positions and Abilities: a Modal Analysis (2020), p. 4
by Sileno, Giovanni; Pascucci, Matteo

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Caption

Hohfeldian squares of normative relationships between two parties

Logic

Aristotelian family

A Single PCD

Boolean complexity

2

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

No

Errors in the diagram

No

Geometry

Shape

Rectangle (irregular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By some other geometric feature

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

Boolean closed

;

Hohfeld

Additional notes

Logically speaking, the correlations are logical equivalences, e.g. given two parties a and b, the correlation between "claim" and "duty" means that "a has a claim toward b" iff "b has a duty toward a". (Also cf. the PhD dissertation of Stef Frijters, 2021.)