Polynym Math

set comparison between two polynyms

Pobservance ⊥ Ptwelve-fold chain


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

$$A \cup B =$$
{ austerities, becoming, birth, body and mind, clinging, conduct, contact, craving, death, faith, feeling, ignorance, knowledge, power, senses, sensual, volitional }

Symmetric Difference

$$A \ominus B =$$
{ austerities, becoming, birth, body and mind, clinging, conduct, contact, craving, death, faith, feeling, ignorance, knowledge, power, senses, sensual, volitional }

Difference

$$A - B =$$
{ austerities, conduct, faith, knowledge, power }

Difference

$$B - A =$$
{ becoming, birth, body and mind, clinging, contact, craving, death, feeling, ignorance, senses, sensual, volitional }

Cartesian Product

$$A \times B =$$
{ (austerities, becoming),
(austerities, birth),
(austerities, body and mind),
(austerities, clinging),
(austerities, contact),
(austerities, craving),
(austerities, death),
(austerities, feeling),
(austerities, ignorance),
(austerities, senses),
(austerities, sensual),
(austerities, volitional),
(conduct, becoming),
(conduct, birth),
(conduct, body and mind),
(conduct, clinging),
(conduct, contact),
(conduct, craving),
(conduct, death),
(conduct, feeling),
(conduct, ignorance),
(conduct, senses),
(conduct, sensual),
(conduct, volitional),
(faith, becoming),
(faith, birth),
(faith, body and mind),
(faith, clinging),
(faith, contact),
(faith, craving),
(faith, death),
(faith, feeling),
(faith, ignorance),
(faith, senses),
(faith, sensual),
(faith, volitional),
(knowledge, becoming),
(knowledge, birth),
(knowledge, body and mind),
(knowledge, clinging),
(knowledge, contact),
(knowledge, craving),
(knowledge, death),
(knowledge, feeling),
(knowledge, ignorance),
(knowledge, senses),
(knowledge, sensual),
(knowledge, volitional),
(power, becoming),
(power, birth),
(power, body and mind),
(power, clinging),
(power, contact),
(power, craving),
(power, death),
(power, feeling),
(power, ignorance),
(power, senses),
(power, sensual),
(power, volitional) }

observance

Source
Jainism
Area
Theology
Mode
type
Depth
5
User
scotty


vs.

twelve-fold chain

Source
Buddha
Area
Philosophy
Mode
part
Depth
12
User
scotty
5 types of observance

12 parts of twelve-fold chain
faith
knowledge
conduct
austerities
power

ignorance
volitional
sensual
body and mind
senses
contact
feeling
craving
clinging
becoming
birth
death
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