Polynym Math

set comparison between two polynyms

Pmental function ⊥ Pplot


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

$$A \cup B =$$
{ Comedy, Overcoming the Monster, Rags to Riches, Rebirth, The Quest, Tragedy, Voyage and Return, awareness, decision, recognition, recollection }

Symmetric Difference

$$A \ominus B =$$
{ Comedy, Overcoming the Monster, Rags to Riches, Rebirth, The Quest, Tragedy, Voyage and Return, awareness, decision, recognition, recollection }

Difference

$$A - B =$$
{ awareness, decision, recognition, recollection }

Difference

$$B - A =$$
{ Comedy, Overcoming the Monster, Rags to Riches, Rebirth, The Quest, Tragedy, Voyage and Return }

Cartesian Product

$$A \times B =$$
{ (awareness, Comedy),
(awareness, Overcoming the Monster),
(awareness, Rags to Riches),
(awareness, Rebirth),
(awareness, The Quest),
(awareness, Tragedy),
(awareness, Voyage and Return),
(decision, Comedy),
(decision, Overcoming the Monster),
(decision, Rags to Riches),
(decision, Rebirth),
(decision, The Quest),
(decision, Tragedy),
(decision, Voyage and Return),
(recognition, Comedy),
(recognition, Overcoming the Monster),
(recognition, Rags to Riches),
(recognition, Rebirth),
(recognition, The Quest),
(recognition, Tragedy),
(recognition, Voyage and Return),
(recollection, Comedy),
(recollection, Overcoming the Monster),
(recollection, Rags to Riches),
(recollection, Rebirth),
(recollection, The Quest),
(recollection, Tragedy),
(recollection, Voyage and Return) }

mental function

Source
Stuart & Hubert Dreyfus
Area
Sociology
Mode
step
Depth
4
User
scotty


vs.

plot

Source
Christopher Booker
Area
Storytelling
Mode
type
Depth
7
User
scotty
4 steps of mental function

7 types of plot
recollection
recognition
decision
awareness

Overcoming the Monster
Rags to Riches
The Quest
Voyage and Return
Comedy
Tragedy
Rebirth
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