Polynym Math

set comparison between two polynyms

Pmeasurement ⊥ Pimage


Equality

$$A \neq B$$
A is not equal to B

Subset

$$A \not\subseteq B$$
A is not a subset of or equal to B

Superset

$$A \not\supseteq B$$
A is not a superset of or equal to B

Intersection

$$A \cap B =$$
{ }

Union

$$A \cup B =$$
{ earth, grass, heaven, interval, lake, mountain, nominal, ordinal, ratio, river, thunder, wood }

Symmetric Difference

$$A \ominus B =$$
{ earth, grass, heaven, interval, lake, mountain, nominal, ordinal, ratio, river, thunder, wood }

Difference

$$A - B =$$
{ interval, nominal, ordinal, ratio }

Difference

$$B - A =$$
{ earth, grass, heaven, lake, mountain, river, thunder, wood }

Cartesian Product

$$A \times B =$$
{ (interval, earth),
(interval, grass),
(interval, heaven),
(interval, lake),
(interval, mountain),
(interval, river),
(interval, thunder),
(interval, wood),
(nominal, earth),
(nominal, grass),
(nominal, heaven),
(nominal, lake),
(nominal, mountain),
(nominal, river),
(nominal, thunder),
(nominal, wood),
(ordinal, earth),
(ordinal, grass),
(ordinal, heaven),
(ordinal, lake),
(ordinal, mountain),
(ordinal, river),
(ordinal, thunder),
(ordinal, wood),
(ratio, earth),
(ratio, grass),
(ratio, heaven),
(ratio, lake),
(ratio, mountain),
(ratio, river),
(ratio, thunder),
(ratio, wood) }

measurement

Source
Stanley Smith Stevens
Area
Psychology
Mode
step
Depth
4
User
scotty


vs.

Polynym
Bagua

image

Source
I Ching
Area
Philosophy
Mode
type
Depth
8
User
scotty
4 steps of measurement

8 types of image
nominal
ordinal
interval
ratio

grass
wood
lake
earth
mountain
river
thunder
heaven
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