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

Caramuel's Theory of Opposition (2017), p. 349
by Lenzen, Wolfgang

Caption

Square of Modal Propositions (scanned from $\textit{TR}$, p. 73)

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
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
rectangular
Label type
linguistic
Language
Latin
Lexical field
modalities
Contains partial sentences or single words
Yes
Contains abbreviations
No

Edge description

Contains definitions of relations
No
Form
bands
Has arrowheads
No
Overlap
Yes
Curved
No
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
linguistic
Language
Latin
Contains partial sentences or single words
Yes
Contain abbreviations
Yes

Style

Diagram is colored
No
Diagram is embellished
No
Tags
duality
↑ Back to top ↑