Polynym Math

set comparison between two polynyms

Pmeasurement ⊥ Pstate


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

$$A \cup B =$$
{ clarity, completion, creative, entrance, initiative, interval, motion, nominal, ordinal, ratio, receptive, tranquil }

Symmetric Difference

$$A \ominus B =$$
{ clarity, completion, creative, entrance, initiative, interval, motion, nominal, ordinal, ratio, receptive, tranquil }

Difference

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

Difference

$$B - A =$$
{ clarity, completion, creative, entrance, initiative, motion, receptive, tranquil }

Cartesian Product

$$A \times B =$$
{ (interval, clarity),
(interval, completion),
(interval, creative),
(interval, entrance),
(interval, initiative),
(interval, motion),
(interval, receptive),
(interval, tranquil),
(nominal, clarity),
(nominal, completion),
(nominal, creative),
(nominal, entrance),
(nominal, initiative),
(nominal, motion),
(nominal, receptive),
(nominal, tranquil),
(ordinal, clarity),
(ordinal, completion),
(ordinal, creative),
(ordinal, entrance),
(ordinal, initiative),
(ordinal, motion),
(ordinal, receptive),
(ordinal, tranquil),
(ratio, clarity),
(ratio, completion),
(ratio, creative),
(ratio, entrance),
(ratio, initiative),
(ratio, motion),
(ratio, receptive),
(ratio, tranquil) }

measurement

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


vs.

Polynym
Bagua

state

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

8 steps of state
nominal
ordinal
interval
ratio

creative
tranquil
clarity
initiative
entrance
motion
completion
receptive
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