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Leonardi.DB
a logical geometry project

Thinking Outside the Square of Opposition Box (2012), p. 79
by Jacquette, Dale

Caption

Noncanonical Alternative Square of Opposition 3

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
3
Equivalence between (some) labels of the same vertex
No
Analogy between (some) labels of the same vertex
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 ...)
Yes
Form
none
Label type
linguistic
,
symbolic
Language
English
Lexical field
syllogistics
Contains partial sentences or single words
No
Contains abbreviations
Yes
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics
,
predicate logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

This is a 'twisted square': the contradiction relations are on the vertical edges, rather than on the diagonals.
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