Polynym Math

set comparison between two polynyms

Parchitecture ⊥ Psubstance


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

$$A \cup B =$$
{ enclosure, hearth, matter, motion, mound, rest, roof, soul, space, time }

Symmetric Difference

$$A \ominus B =$$
{ enclosure, hearth, matter, motion, mound, rest, roof, soul, space, time }

Difference

$$A - B =$$
{ enclosure, hearth, mound, roof }

Difference

$$B - A =$$
{ matter, motion, rest, soul, space, time }

Cartesian Product

$$A \times B =$$
{ (enclosure, matter),
(enclosure, motion),
(enclosure, rest),
(enclosure, soul),
(enclosure, space),
(enclosure, time),
(hearth, matter),
(hearth, motion),
(hearth, rest),
(hearth, soul),
(hearth, space),
(hearth, time),
(mound, matter),
(mound, motion),
(mound, rest),
(mound, soul),
(mound, space),
(mound, time),
(roof, matter),
(roof, motion),
(roof, rest),
(roof, soul),
(roof, space),
(roof, time) }

architecture

Source
Gottfried Semper
Area
Anthropology
Mode
part
Depth
4
User
scotty


vs.

Polynym
Dravya

substance

Source
Jain
Area
Theology
Mode
part
Depth
6
User
scotty
4 parts of architecture

6 parts of substance
hearth
roof
enclosure
mound

soul
matter
motion
rest
space
time
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