You're using an ancient browser to surf the modern web. Please update to the latest version (and don't use Internet Explorer!).

Leonardi.DB
a logical geometry project

Metalogical Decorations of Logical Diagrams (2016), p. 280
by Demey, Lorenz; Smessaert, Hans

Copyright according to our policy

Caption

a Shield and spear generalized Post duality diagram corresponding to Seuren’s Aristotelian hexagon in Fig. 25, b generalized Post duality cube corresponding to the Aristotelian octagon in Fig. 26b

Logic

Aristotelian family
Keynes-Johnson Sigma-4
Boolean complexity
7
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Rectangular Cuboid (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
metalogic
Contains partial formulas or symbols
No

Edge description

Contains definitions of relations
No
Form
dash-double-dotted lines
,
dash-dotted lines
,
none
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
symbolic
Symbolic field
metalogic
Contains partial formulas or symbols
Yes

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Leuven
;
generalized Post duality
;
duality

Additional notes

The edge label '1' indicates that internal negation applies to the first argument.

The edge label '2' indicates that internal negation applies to the second argument.
↑ Back to top ↑