Polynym Math

set comparison between two polynyms

Pquadrivium ⊥ Pnormative science


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

$$A \cup B =$$
{ aesthetics, arithmetic, astronomy, ethics, geometry, logic, music }

Symmetric Difference

$$A \ominus B =$$
{ aesthetics, arithmetic, astronomy, ethics, geometry, logic, music }

Difference

$$A - B =$$
{ arithmetic, astronomy, geometry, music }

Difference

$$B - A =$$
{ aesthetics, ethics, logic }

Cartesian Product

$$A \times B =$$
{ (arithmetic, aesthetics),
(arithmetic, ethics),
(arithmetic, logic),
(astronomy, aesthetics),
(astronomy, ethics),
(astronomy, logic),
(geometry, aesthetics),
(geometry, ethics),
(geometry, logic),
(music, aesthetics),
(music, ethics),
(music, logic) }
Polynym
Quadrivium

quadrivium

Source
Boethius
Area
Education
Mode
part
Depth
4
User
scotty


vs.

normative science

Source
Charles Peirce
Area
Semiotics
Mode
type
Depth
3
User
scotty
4 parts of quadrivium

3 types of normative science
arithmetic
geometry
music
astronomy

aesthetics
ethics
logic
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