The Square of Opposition in Catholic hands: a chapter in the history of 20th-century logic (2016), p. 13
by Jaspers, Dany; Seuren, Pieter A. M.

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Caption

The logical kite structure thought to be basic to human cognition.

Logic

Aristotelian family

Non-Sigma

Boolean complexity

3

Number of labels per vertex (at most)

2

Equivalence between (some) labels of the same vertex

Yes

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

Kite (irregular)

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

symbolic

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

syllogistics

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Leuven

Additional notes

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