Polynym Math

set comparison between two polynyms

Pscience ⊥ Pdesign process


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

$$A \cup B =$$
{ analyze, create, discovery, execute, practical, theoretical }

Symmetric Difference

$$A \ominus B =$$
{ analyze, create, discovery, execute, practical, theoretical }

Difference

$$A - B =$$
{ discovery, practical, theoretical }

Difference

$$B - A =$$
{ analyze, create, execute }

Cartesian Product

$$A \times B =$$
{ (discovery, analyze),
(discovery, create),
(discovery, execute),
(practical, analyze),
(practical, create),
(practical, execute),
(theoretical, analyze),
(theoretical, create),
(theoretical, execute) }

science

Source
Charles Peirce
Area
Semiotics
Mode
type
Depth
3
User
scotty


vs.

design process

Source
L. Bruce Archer
Area
Design
Mode
step
Depth
3
User
scotty
3 types of science

3 steps of design process
discovery
theoretical
practical

analyze
create
execute
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