Polynym Math

set comparison between two polynyms

Pbehavioral change ⊥ Parchitecture


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

$$A \cup B =$$
{ action, contemplation, enclosure, hearth, maintenance, mound, precontemplation, preparation, roof, termination }

Symmetric Difference

$$A \ominus B =$$
{ action, contemplation, enclosure, hearth, maintenance, mound, precontemplation, preparation, roof, termination }

Difference

$$A - B =$$
{ action, contemplation, maintenance, precontemplation, preparation, termination }

Difference

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

Cartesian Product

$$A \times B =$$
{ (action, enclosure),
(action, hearth),
(action, mound),
(action, roof),
(contemplation, enclosure),
(contemplation, hearth),
(contemplation, mound),
(contemplation, roof),
(maintenance, enclosure),
(maintenance, hearth),
(maintenance, mound),
(maintenance, roof),
(precontemplation, enclosure),
(precontemplation, hearth),
(precontemplation, mound),
(precontemplation, roof),
(preparation, enclosure),
(preparation, hearth),
(preparation, mound),
(preparation, roof),
(termination, enclosure),
(termination, hearth),
(termination, mound),
(termination, roof) }

behavioral change

Source
James Prochaska
Area
Psychology
Mode
step
Depth
6
User
scotty


vs.

architecture

Source
Gottfried Semper
Area
Anthropology
Mode
part
Depth
4
User
scotty
6 steps of behavioral change

4 parts of architecture
precontemplation
contemplation
preparation
action
maintenance
termination

hearth
roof
enclosure
mound
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