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Leonardi.DB
a logical geometry project

Graded Structures of Opposition in Fuzzy Natural Logic (2020), p. 511
by Murinová, Petra

Caption

Graded Peterson’s square of opposition

Logic

Aristotelian family
Classical Sigma-2
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
Rectangle (irregular)
Colinearity range
0–5
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
Yes
Form
none
Label type
linguistic
,
symbolic
Language
English
Contains partial sentences or single words
No
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

Contains definitions of relations
No

Style

Diagram is colored
No
Diagram is embellished
No
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