Polynym Math

set comparison between two polynyms

Pinduction ⊥ Pcardinal virtue


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

$$A \cup B =$$
{ concomitant variations, courage, difference, direct agreement, joint agreement and difference, justice, prudence, residue, temperance }

Symmetric Difference

$$A \ominus B =$$
{ concomitant variations, courage, difference, direct agreement, joint agreement and difference, justice, prudence, residue, temperance }

Difference

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

Difference

$$B - A =$$
{ courage, justice, prudence, temperance }

Cartesian Product

$$A \times B =$$
{ (concomitant variations, courage),
(concomitant variations, justice),
(concomitant variations, prudence),
(concomitant variations, temperance),
(difference, courage),
(difference, justice),
(difference, prudence),
(difference, temperance),
(direct agreement, courage),
(direct agreement, justice),
(direct agreement, prudence),
(direct agreement, temperance),
(joint agreement and difference, courage),
(joint agreement and difference, justice),
(joint agreement and difference, prudence),
(joint agreement and difference, temperance),
(residue, courage),
(residue, justice),
(residue, prudence),
(residue, temperance) }

induction

Source
John Stuart Mill
Area
Philosophy
Mode
type
Depth
5
User
scotty


vs.

cardinal virtue

Source
Plato
Area
Theology
Mode
type
Depth
4
User
scotty
5 types of induction

4 types of cardinal virtue
direct agreement
difference
joint agreement and difference
residue
concomitant variations

prudence
courage
temperance
justice
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