Polynym Math

set comparison between two polynyms

Plegitimate rule ⊥ Plove


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

$$A \cup B =$$
{ agape, charismatic authority, eros, legal authority, philios, storge, traditional authority }

Symmetric Difference

$$A \ominus B =$$
{ agape, charismatic authority, eros, legal authority, philios, storge, traditional authority }

Difference

$$A - B =$$
{ charismatic authority, legal authority, traditional authority }

Difference

$$B - A =$$
{ agape, eros, philios, storge }

Cartesian Product

$$A \times B =$$
{ (charismatic authority, agape),
(charismatic authority, eros),
(charismatic authority, philios),
(charismatic authority, storge),
(legal authority, agape),
(legal authority, eros),
(legal authority, philios),
(legal authority, storge),
(traditional authority, agape),
(traditional authority, eros),
(traditional authority, philios),
(traditional authority, storge) }

legitimate rule

Source
Max Weber
Area
Sociology
Mode
type
Depth
3
User
scotty


vs.

love

Source
C.S. Lewis
Area
Psychology
Mode
type
Depth
4
User
scotty
3 types of legitimate rule

4 types of love
legal authority
traditional authority
charismatic authority

storge
philios
eros
agape
© 2025 Nymology