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Leonardi.DB
a logical geometry project

Propositional attitudes (2001), p. 236
by Davies, Eirian

Caption

Square of opposition 1.2

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
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
Rectangle (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

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

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

The formulas are encoded using a bitstring/setting-like approach, with 9 bit positions (cf. p. 228):

t = is
r = must be
s = will be
q = would be
w = (equiprobability)
u = wouldn't be
n = won't be
a = can't be
f = isn't
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