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Leonardi.DB
a logical geometry project

Varieties of Necessity in John Buridan. Logic and Natural Philosophy in the Late Middle Ages (2023), p. 145
by Alt, Guido

Caption

Oresme's Modal-Temporal Square

Logic

Aristotelian family
Non-Sigma
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
Pentagon (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
N.A.

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
circular
Label type
linguistic
,
generic placeholders
Language
French
Lexical field
modalities
,
temporal
Contains partial sentences or single words
Yes
Contains abbreviations
Yes

Edge description

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

Style

Diagram is colored
Yes
Diagram is embellished
No

Additional notes

The negation closure of this diagram is a JSB sigma-3.
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