Polynym Math

set comparison between two polynyms

Pnormative science ⊥ Pcognition


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, analysis, application, comprehension, ethics, evaluation, knowledge, logic, synthesis }

Symmetric Difference

$$A \ominus B =$$
{ aesthetics, analysis, application, comprehension, ethics, evaluation, knowledge, logic, synthesis }

Difference

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

Difference

$$B - A =$$
{ analysis, application, comprehension, evaluation, knowledge, synthesis }

Cartesian Product

$$A \times B =$$
{ (aesthetics, analysis),
(aesthetics, application),
(aesthetics, comprehension),
(aesthetics, evaluation),
(aesthetics, knowledge),
(aesthetics, synthesis),
(ethics, analysis),
(ethics, application),
(ethics, comprehension),
(ethics, evaluation),
(ethics, knowledge),
(ethics, synthesis),
(logic, analysis),
(logic, application),
(logic, comprehension),
(logic, evaluation),
(logic, knowledge),
(logic, synthesis) }

normative science

Source
Charles Peirce
Area
Semiotics
Mode
type
Depth
3
User
scotty


vs.

Polynym
Cognition

cognition

Source
Benjamin Bloom
Area
Psychology
Mode
part
Depth
6
User
scotty
3 types of normative science

6 parts of cognition
aesthetics
ethics
logic

knowledge
comprehension
application
analysis
synthesis
evaluation
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