Polynym Math

set comparison between two polynyms

Pcontradiction ⊥ Psign


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

$$A \cup B =$$
{ argument, being, dicent indexical legisign, dicent sinsign, dicent symbol, essence, iconic legisign, iconic sinsign, notion, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol }

Symmetric Difference

$$A \ominus B =$$
{ argument, being, dicent indexical legisign, dicent sinsign, dicent symbol, essence, iconic legisign, iconic sinsign, notion, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol }

Difference

$$A - B =$$
{ being, essence, notion }

Difference

$$B - A =$$
{ argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol }

Cartesian Product

$$A \times B =$$
{ (being, argument),
(being, dicent indexical legisign),
(being, dicent sinsign),
(being, dicent symbol),
(being, iconic legisign),
(being, iconic sinsign),
(being, qualisign),
(being, rhematic indexical),
(being, rhematic indexical legisign),
(being, rhematic symbol),
(essence, argument),
(essence, dicent indexical legisign),
(essence, dicent sinsign),
(essence, dicent symbol),
(essence, iconic legisign),
(essence, iconic sinsign),
(essence, qualisign),
(essence, rhematic indexical),
(essence, rhematic indexical legisign),
(essence, rhematic symbol),
(notion, argument),
(notion, dicent indexical legisign),
(notion, dicent sinsign),
(notion, dicent symbol),
(notion, iconic legisign),
(notion, iconic sinsign),
(notion, qualisign),
(notion, rhematic indexical),
(notion, rhematic indexical legisign),
(notion, rhematic symbol) }

contradiction

Source
G.W.F Hegel
Area
Philosophy
Mode
type
Depth
3
User
scotty


vs.

sign

Source
Charles Peirce
Area
Semiotics
Mode
type
Depth
10
User
scotty
3 types of contradiction

10 types of sign
being
essence
notion

qualisign
iconic sinsign
rhematic indexical
dicent sinsign
iconic legisign
rhematic indexical legisign
dicent indexical legisign
rhematic symbol
dicent symbol
argument
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