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Leonardi.DB
a logical geometry project

Duality Patterns in 2-PCD Fragments (2017), p. 233
by Smessaert, Hans; Demey, Lorenz

Caption

(a) classical Aristotelian square, (b) classical duality square, (c) degenerate Aristotelian square, and (d) degenerate duality square (see Section 4 for more details on the concrete bitstring assignments used here).

Logic

Aristotelian family
Degenerate Sigma-2 with Unconnectedness 4
Boolean complexity
4
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
Rectangle (irregular)
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
symbolic
Symbolic field
bitstrings
,
logic
Contains partial formulas or symbols
No
Contains protobitstrings
No
Bitstring length
4
Logical system
propositional logic

Edge description

Contains definitions of relations
No
Form
solid lines
,
none
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
linguistic
,
none
Language
English
Contains partial sentences or single words
Yes
Contain abbreviations
Yes

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Leuven
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