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

All Bar One. The Problem of the Many (2014), p. 460
by Gifford, Christopher S.

Caption

Square of Opposition for Four Aoristic Operators.

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
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
Yes

Geometry

Shape
Hexagon (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
logic
Contains partial formulas or symbols
Yes
Logical system
modal logic

Edge description

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

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed

Additional notes

$\delta$: it is determinate that
$\iota$: it is indeterminate that
$\mathbb{D}$: it is determinate whether
$\mathbb{I}$: it is indeterminate whether

(Cf. p. 458.)
↑ Back to top ↑