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Leonardi.DB
a logical geometry project

Aspect Shifting in Aristotelian Diagrams (2022), p. 230
by Smessaert, Hans; Demey, Lorenz

Caption

SC hexagon: OG perspective = hour-glass (a) left (b) center (c) right; versus IG perspective = bow-tie (d) left (e) center (f) right. (Color figure online)

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
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
modal logic

Edge description

Contains definitions of relations
No
Form
solid lines
,
none
Has arrowheads
Yes
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
No
Label type
none

Style

Diagram is colored
Yes
Diagram is embellished
No
Tags
Leuven
;
subdiagram
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