Polynym Math

set comparison between two polynyms

Ptwelve-fold chain ⊥ Pgrammar


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

$$A \cup B =$$
{ becoming, birth, body and mind, clinging, contact, context-free, context-sensitive, craving, death, feeling, ignorance, recursively enumerable, regular, senses, sensual, volitional }

Symmetric Difference

$$A \ominus B =$$
{ becoming, birth, body and mind, clinging, contact, context-free, context-sensitive, craving, death, feeling, ignorance, recursively enumerable, regular, senses, sensual, volitional }

Difference

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

Difference

$$B - A =$$
{ context-free, context-sensitive, recursively enumerable, regular }

Cartesian Product

$$A \times B =$$
{ (becoming, context-free),
(becoming, context-sensitive),
(becoming, recursively enumerable),
(becoming, regular),
(birth, context-free),
(birth, context-sensitive),
(birth, recursively enumerable),
(birth, regular),
(body and mind, context-free),
(body and mind, context-sensitive),
(body and mind, recursively enumerable),
(body and mind, regular),
(clinging, context-free),
(clinging, context-sensitive),
(clinging, recursively enumerable),
(clinging, regular),
(contact, context-free),
(contact, context-sensitive),
(contact, recursively enumerable),
(contact, regular),
(craving, context-free),
(craving, context-sensitive),
(craving, recursively enumerable),
(craving, regular),
(death, context-free),
(death, context-sensitive),
(death, recursively enumerable),
(death, regular),
(feeling, context-free),
(feeling, context-sensitive),
(feeling, recursively enumerable),
(feeling, regular),
(ignorance, context-free),
(ignorance, context-sensitive),
(ignorance, recursively enumerable),
(ignorance, regular),
(senses, context-free),
(senses, context-sensitive),
(senses, recursively enumerable),
(senses, regular),
(sensual, context-free),
(sensual, context-sensitive),
(sensual, recursively enumerable),
(sensual, regular),
(volitional, context-free),
(volitional, context-sensitive),
(volitional, recursively enumerable),
(volitional, regular) }

twelve-fold chain

Source
Buddha
Area
Philosophy
Mode
part
Depth
12
User
scotty


vs.

grammar

Source
Noam Chomsky
Area
Linguistics
Mode
type
Depth
4
User
scotty
12 parts of twelve-fold chain

4 types of grammar
ignorance
volitional
sensual
body and mind
senses
contact
feeling
craving
clinging
becoming
birth
death

recursively enumerable
context-sensitive
context-free
regular
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