Polynym Math

set comparison between two polynyms

Pgrammar ⊥ PResearch Principles


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

$$A \cup B =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses, context-free, context-sensitive, recursively enumerable, regular }

Symmetric Difference

$$A \ominus B =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses, context-free, context-sensitive, recursively enumerable, regular }

Difference

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

Difference

$$B - A =$$
{ Correlation isn’t causation, Extraordinary claims need extraordinary evidence, Falsifiablity, Occam’s Razor, Replicability, Rule out rival hypotheses }

Cartesian Product

$$A \times B =$$
{ (context-free, Correlation isn’t causation),
(context-free, Extraordinary claims need extraordinary evidence),
(context-free, Falsifiablity),
(context-free, Occam’s Razor),
(context-free, Replicability),
(context-free, Rule out rival hypotheses),
(context-sensitive, Correlation isn’t causation),
(context-sensitive, Extraordinary claims need extraordinary evidence),
(context-sensitive, Falsifiablity),
(context-sensitive, Occam’s Razor),
(context-sensitive, Replicability),
(context-sensitive, Rule out rival hypotheses),
(recursively enumerable, Correlation isn’t causation),
(recursively enumerable, Extraordinary claims need extraordinary evidence),
(recursively enumerable, Falsifiablity),
(recursively enumerable, Occam’s Razor),
(recursively enumerable, Replicability),
(recursively enumerable, Rule out rival hypotheses),
(regular, Correlation isn’t causation),
(regular, Extraordinary claims need extraordinary evidence),
(regular, Falsifiablity),
(regular, Occam’s Razor),
(regular, Replicability),
(regular, Rule out rival hypotheses) }

grammar

Source
Noam Chomsky
Area
Linguistics
Mode
type
Depth
4
User
scotty


vs.

Research Principles

Source
Varun Does Research
Area
Scientific Research
Mode
part
Depth
6
User
dane
4 types of grammar

6 parts of Research Principles
recursively enumerable
context-sensitive
context-free
regular

Rule out rival hypotheses
Correlation isn’t causation
Falsifiablity
Replicability
Extraordinary claims need extraordinary evidence
Occam’s Razor
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