Book Review - Leonard Nelson: A Theory of Philosophical Fallacies (2017), p. 459
by Aberdein, Andrew

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Caption

Logicism versus empiricism in geometry: An incomplete disjunction (p. 80)

Logic

Aristotelian family

Jacoby-Sesmat-Blanché Sigma-3

Boolean complexity

3

Number of labels per vertex (at most)

1

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

rectangular

Label type

linguistic

Language

English

Lexical field

philosophy

Contains partial sentences or single words

No

Contains abbreviations

No

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Boolean closed

Additional notes

Aberdein states that we should be "reversing the directions of the arrows" (p. 458-459).