Polynym Math

set comparison between two polynyms

Pcardinal virtue ⊥ Part


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

$$A \cup B =$$
{ archery, calligraphy, chariotry, courage, justice, mathematics, music, prudence, rites, temperance }

Symmetric Difference

$$A \ominus B =$$
{ archery, calligraphy, chariotry, courage, justice, mathematics, music, prudence, rites, temperance }

Difference

$$A - B =$$
{ courage, justice, prudence, temperance }

Difference

$$B - A =$$
{ archery, calligraphy, chariotry, mathematics, music, rites }

Cartesian Product

$$A \times B =$$
{ (courage, archery),
(courage, calligraphy),
(courage, chariotry),
(courage, mathematics),
(courage, music),
(courage, rites),
(justice, archery),
(justice, calligraphy),
(justice, chariotry),
(justice, mathematics),
(justice, music),
(justice, rites),
(prudence, archery),
(prudence, calligraphy),
(prudence, chariotry),
(prudence, mathematics),
(prudence, music),
(prudence, rites),
(temperance, archery),
(temperance, calligraphy),
(temperance, chariotry),
(temperance, mathematics),
(temperance, music),
(temperance, rites) }

cardinal virtue

Source
Plato
Area
Theology
Mode
type
Depth
4
User
scotty


vs.

Polynym
Six Arts

art

Area
Education
Mode
type
Depth
6
User
scotty
4 types of cardinal virtue

6 types of art
prudence
courage
temperance
justice

rites
music
archery
chariotry
calligraphy
mathematics
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