Polynym Math

set comparison between two polynyms

Pexplanation ⊥ Pinduction


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, being, concomitant variations, difference, direct agreement, joint agreement and difference, knowing, residue, willing }

Symmetric Difference

$$A \ominus B =$$
{ becoming, being, concomitant variations, difference, direct agreement, joint agreement and difference, knowing, residue, willing }

Difference

$$A - B =$$
{ becoming, being, knowing, willing }

Difference

$$B - A =$$
{ concomitant variations, difference, direct agreement, joint agreement and difference, residue }

Cartesian Product

$$A \times B =$$
{ (becoming, concomitant variations),
(becoming, difference),
(becoming, direct agreement),
(becoming, joint agreement and difference),
(becoming, residue),
(being, concomitant variations),
(being, difference),
(being, direct agreement),
(being, joint agreement and difference),
(being, residue),
(knowing, concomitant variations),
(knowing, difference),
(knowing, direct agreement),
(knowing, joint agreement and difference),
(knowing, residue),
(willing, concomitant variations),
(willing, difference),
(willing, direct agreement),
(willing, joint agreement and difference),
(willing, residue) }

explanation

Source
Arthur Schopenhauer
Area
Philosophy
Mode
type
Depth
4
User
scotty


vs.

induction

Source
John Stuart Mill
Area
Philosophy
Mode
type
Depth
5
User
scotty
4 types of explanation

5 types of induction
becoming
knowing
being
willing

direct agreement
difference
joint agreement and difference
residue
concomitant variations
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