The Cube Generalizing Aristotle's Square in Logic of Determination of Objects (LDO) (2012), p. 287
by Desclés, Jean-Pierre; Pascu, Anca

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Caption

The cube of star quantifiers

Logic

Aristotelian family

Lenzen Sigma-4

Boolean complexity

5

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

Cube (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

,

symbolic

Language

English

Lexical field

syllogistics

,

typicality

Contains partial sentences or single words

No

Contains abbreviations

Yes

Symbolic field

logic

Contains partial formulas or symbols

No

Edge description

Style

Diagram is colored

Yes

Diagram is embellished

No