Polynym Math

set comparison between two polynyms

Pcycle ⊥ Pscience


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

$$A \cup B =$$
{ discovery, generating, overcoming, practical, theoretical }

Symmetric Difference

$$A \ominus B =$$
{ discovery, generating, overcoming, practical, theoretical }

Difference

$$A - B =$$
{ generating, overcoming }

Difference

$$B - A =$$
{ discovery, practical, theoretical }

Cartesian Product

$$A \times B =$$
{ (generating, discovery),
(generating, practical),
(generating, theoretical),
(overcoming, discovery),
(overcoming, practical),
(overcoming, theoretical) }

cycle

Source
Wu Xing
Area
Philosophy
Mode
type
Depth
2
User
scotty


vs.

science

Source
Charles Peirce
Area
Semiotics
Mode
type
Depth
3
User
scotty
2 types of cycle

3 types of science
generating
overcoming

discovery
theoretical
practical
© 2026 Nymology