Polynym Math

set comparison between two polynyms

PIsmailism ⊥ Plearning


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

$$A \cup B =$$
{ avoidant, charity, collaborative, competitive, dependent, devotion, fasting, independent, participative, pilgrimage, prayer, purity, struggle }

Symmetric Difference

$$A \ominus B =$$
{ avoidant, charity, collaborative, competitive, dependent, devotion, fasting, independent, participative, pilgrimage, prayer, purity, struggle }

Difference

$$A - B =$$
{ charity, devotion, fasting, pilgrimage, prayer, purity, struggle }

Difference

$$B - A =$$
{ avoidant, collaborative, competitive, dependent, independent, participative }

Cartesian Product

$$A \times B =$$
{ (charity, avoidant),
(charity, collaborative),
(charity, competitive),
(charity, dependent),
(charity, independent),
(charity, participative),
(devotion, avoidant),
(devotion, collaborative),
(devotion, competitive),
(devotion, dependent),
(devotion, independent),
(devotion, participative),
(fasting, avoidant),
(fasting, collaborative),
(fasting, competitive),
(fasting, dependent),
(fasting, independent),
(fasting, participative),
(pilgrimage, avoidant),
(pilgrimage, collaborative),
(pilgrimage, competitive),
(pilgrimage, dependent),
(pilgrimage, independent),
(pilgrimage, participative),
(prayer, avoidant),
(prayer, collaborative),
(prayer, competitive),
(prayer, dependent),
(prayer, independent),
(prayer, participative),
(purity, avoidant),
(purity, collaborative),
(purity, competitive),
(purity, dependent),
(purity, independent),
(purity, participative),
(struggle, avoidant),
(struggle, collaborative),
(struggle, competitive),
(struggle, dependent),
(struggle, independent),
(struggle, participative) }

Ismailism

Area
Theology
Mode
part
Depth
7
User
scotty


vs.

learning

Source
Grash/Riechmann
Area
Education
Mode
type
Depth
6
User
scotty
7 parts of Ismailism

6 types of learning
devotion
purity
prayer
charity
fasting
pilgrimage
struggle

avoidant
participative
competitive
collaborative
dependent
independent
© 2025 Nymology