Polynym Math

set comparison between two polynyms

Pcognition ⊥ Psemiosis


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

$$A \cup B =$$
{ analysis, application, comprehension, evaluation, interpretant, knowledge, object, sign, synthesis }

Symmetric Difference

$$A \ominus B =$$
{ analysis, application, comprehension, evaluation, interpretant, knowledge, object, sign, synthesis }

Difference

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

Difference

$$B - A =$$
{ interpretant, object, sign }

Cartesian Product

$$A \times B =$$
{ (analysis, interpretant),
(analysis, object),
(analysis, sign),
(application, interpretant),
(application, object),
(application, sign),
(comprehension, interpretant),
(comprehension, object),
(comprehension, sign),
(evaluation, interpretant),
(evaluation, object),
(evaluation, sign),
(knowledge, interpretant),
(knowledge, object),
(knowledge, sign),
(synthesis, interpretant),
(synthesis, object),
(synthesis, sign) }
Polynym
Cognition

cognition

Source
Benjamin Bloom
Area
Psychology
Mode
part
Depth
6
User
scotty


vs.

semiosis

Source
Charles Peirce
Area
Semiotics
Mode
part
Depth
3
User
scotty
6 parts of cognition

3 parts of semiosis
knowledge
comprehension
application
analysis
synthesis
evaluation

sign
object
interpretant
© 2026 Nymology