A Hexagon of Opposition for the Theism/Atheism Debate (2019), p. 390
by Demey, Lorenz

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Caption

(a) Square of opposition for the theism/atheism debate; (b) visual code for the Aristotelian relations

Legend

Logic

Aristotelian family

Classical Sigma-2

Boolean complexity

3

Number of labels per vertex (at most)

1

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

No

Mnemonic support (AEIO, purpurea ...)

No

Form

none

Label type

symbolic

,

philosophical theories

Symbolic field

logic

Contains partial formulas or symbols

No

Logical system

epistemic logic

Edge description

Contains definitions of relations

No

Form

dotted lines

,

solid lines

,

dashed lines

Has arrowheads

Yes

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

none

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Leuven

;

duality

Additional notes

Bsg = subject s believes that God exists (theism)

Bs~g = subject s believes that God does not exist (atheism)

Etc.