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

Generalization and Composition of Modal Squares of Oppositions (2016), p. 319
by Pizzi, Claudio

Caption

Graphical representation of a degenerate square

Logic

Aristotelian family
A Single PCD
Boolean complexity
2
Number of labels per vertex (at most)
2
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
Digon (regular)
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
logic
Contains partial formulas or symbols
No
Logical system
modal logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed

Additional notes

An alternative visualization of this diagram occurs at p. 319; cf. here.
↑ Back to top ↑