Polynym Math

set comparison between two polynyms

Pmeasurement ⊥ Pself


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

$$A \cup B =$$
{ body, interval, nominal, ordinal, ratio, soul }

Symmetric Difference

$$A \ominus B =$$
{ body, interval, nominal, ordinal, ratio, soul }

Difference

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

Difference

$$B - A =$$
{ body, soul }

Cartesian Product

$$A \times B =$$
{ (interval, body),
(interval, soul),
(nominal, body),
(nominal, soul),
(ordinal, body),
(ordinal, soul),
(ratio, body),
(ratio, soul) }

measurement

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


vs.

self

Source
dichotomy
Area
Theology
Mode
part
Depth
2
User
scotty
4 steps of measurement

2 parts of self
nominal
ordinal
interval
ratio

body
soul
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