Polynym Math

set comparison between two polynyms

Pnon-intersecting domains ⊥ Pmatter


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

$$A \cup B =$$
{ constitutive (operational closure), gas, liquid, plasma, relational (structural coupling), solid }

Symmetric Difference

$$A \ominus B =$$
{ constitutive (operational closure), gas, liquid, plasma, relational (structural coupling), solid }

Difference

$$A - B =$$
{ constitutive (operational closure), relational (structural coupling) }

Difference

$$B - A =$$
{ gas, liquid, plasma, solid }

Cartesian Product

$$A \times B =$$
{ (constitutive (operational closure), gas),
(constitutive (operational closure), liquid),
(constitutive (operational closure), plasma),
(constitutive (operational closure), solid),
(relational (structural coupling), gas),
(relational (structural coupling), liquid),
(relational (structural coupling), plasma),
(relational (structural coupling), solid) }

non-intersecting domains

Source
Maturana and Varela
Area
Enactivism
Mode
part
Depth
2
User
dane


vs.

Polynym
Matter

matter

Area
Physics
Mode
type
Depth
4
User
scotty
2 parts of non-intersecting domains

4 types of matter
constitutive (operational closure)
relational (structural coupling)

plasma
gas
liquid
solid
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