Polynym Math

set comparison between two polynyms

Pmedia ⊥ Pcognitive development


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

$$A \cup B =$$
{ application, audio, concrete operational, example, font, formal operational, image, message, model, multipart, pre-operational, sensorimotor, text, video }

Symmetric Difference

$$A \ominus B =$$
{ application, audio, concrete operational, example, font, formal operational, image, message, model, multipart, pre-operational, sensorimotor, text, video }

Difference

$$A - B =$$
{ application, audio, example, font, image, message, model, multipart, text, video }

Difference

$$B - A =$$
{ concrete operational, formal operational, pre-operational, sensorimotor }

Cartesian Product

$$A \times B =$$
{ (application, concrete operational),
(application, formal operational),
(application, pre-operational),
(application, sensorimotor),
(audio, concrete operational),
(audio, formal operational),
(audio, pre-operational),
(audio, sensorimotor),
(example, concrete operational),
(example, formal operational),
(example, pre-operational),
(example, sensorimotor),
(font, concrete operational),
(font, formal operational),
(font, pre-operational),
(font, sensorimotor),
(image, concrete operational),
(image, formal operational),
(image, pre-operational),
(image, sensorimotor),
(message, concrete operational),
(message, formal operational),
(message, pre-operational),
(message, sensorimotor),
(model, concrete operational),
(model, formal operational),
(model, pre-operational),
(model, sensorimotor),
(multipart, concrete operational),
(multipart, formal operational),
(multipart, pre-operational),
(multipart, sensorimotor),
(text, concrete operational),
(text, formal operational),
(text, pre-operational),
(text, sensorimotor),
(video, concrete operational),
(video, formal operational),
(video, pre-operational),
(video, sensorimotor) }
Polynym
Media type

media

Source
Internet Assigned Numbers Authority
Area
Media
Mode
type
Depth
10
User
scotty


vs.

Polynym
Cognition

cognitive development

Source
Jean Piaget
Area
Cognition
Mode
step
Depth
4
User
scotty
10 types of media

4 steps of cognitive development
application
audio
example
font
image
message
model
multipart
text
video

sensorimotor
pre-operational
concrete operational
formal operational
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