Polynym Math

set comparison between two polynyms

Pscience ⊥ Plogic


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

$$A \cup B =$$
{ astronomy, becoming, being, biology, cause, chemistry, effect, essence, existence, life, many, mathematics, mechanism, one, physics, sociology, universal }

Symmetric Difference

$$A \ominus B =$$
{ astronomy, becoming, being, biology, cause, chemistry, effect, essence, existence, life, many, mathematics, mechanism, one, physics, sociology, universal }

Difference

$$A - B =$$
{ astronomy, biology, chemistry, mathematics, physics, sociology }

Difference

$$B - A =$$
{ becoming, being, cause, effect, essence, existence, life, many, mechanism, one, universal }

Cartesian Product

$$A \times B =$$
{ (astronomy, becoming),
(astronomy, being),
(astronomy, cause),
(astronomy, effect),
(astronomy, essence),
(astronomy, existence),
(astronomy, life),
(astronomy, many),
(astronomy, mechanism),
(astronomy, one),
(astronomy, universal),
(biology, becoming),
(biology, being),
(biology, cause),
(biology, effect),
(biology, essence),
(biology, existence),
(biology, life),
(biology, many),
(biology, mechanism),
(biology, one),
(biology, universal),
(chemistry, becoming),
(chemistry, being),
(chemistry, cause),
(chemistry, effect),
(chemistry, essence),
(chemistry, existence),
(chemistry, life),
(chemistry, many),
(chemistry, mechanism),
(chemistry, one),
(chemistry, universal),
(mathematics, becoming),
(mathematics, being),
(mathematics, cause),
(mathematics, effect),
(mathematics, essence),
(mathematics, existence),
(mathematics, life),
(mathematics, many),
(mathematics, mechanism),
(mathematics, one),
(mathematics, universal),
(physics, becoming),
(physics, being),
(physics, cause),
(physics, effect),
(physics, essence),
(physics, existence),
(physics, life),
(physics, many),
(physics, mechanism),
(physics, one),
(physics, universal),
(sociology, becoming),
(sociology, being),
(sociology, cause),
(sociology, effect),
(sociology, essence),
(sociology, existence),
(sociology, life),
(sociology, many),
(sociology, mechanism),
(sociology, one),
(sociology, universal) }

science

Source
Auguste Comte
Area
Philosophy
Mode
step
Depth
6
User
scotty


vs.

logic

Source
G.W.F. Hegel
Area
Philosophy
Mode
step
Depth
11
User
scotty
6 steps of science

11 steps of logic
mathematics
astronomy
physics
chemistry
biology
sociology

being
becoming
one
many
essence
existence
cause
effect
universal
mechanism
life
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