Polynym Math

set comparison between two polynyms

Psign ⊥ Pdiscourse position


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

$$A \cup B =$$
{ agent, argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, other, product, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol, truth }

Symmetric Difference

$$A \ominus B =$$
{ agent, argument, dicent indexical legisign, dicent sinsign, dicent symbol, iconic legisign, iconic sinsign, other, product, qualisign, rhematic indexical, rhematic indexical legisign, rhematic symbol, truth }

Difference

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

Difference

$$B - A =$$
{ agent, other, product, truth }

Cartesian Product

$$A \times B =$$
{ (argument, agent),
(argument, other),
(argument, product),
(argument, truth),
(dicent indexical legisign, agent),
(dicent indexical legisign, other),
(dicent indexical legisign, product),
(dicent indexical legisign, truth),
(dicent sinsign, agent),
(dicent sinsign, other),
(dicent sinsign, product),
(dicent sinsign, truth),
(dicent symbol, agent),
(dicent symbol, other),
(dicent symbol, product),
(dicent symbol, truth),
(iconic legisign, agent),
(iconic legisign, other),
(iconic legisign, product),
(iconic legisign, truth),
(iconic sinsign, agent),
(iconic sinsign, other),
(iconic sinsign, product),
(iconic sinsign, truth),
(qualisign, agent),
(qualisign, other),
(qualisign, product),
(qualisign, truth),
(rhematic indexical, agent),
(rhematic indexical, other),
(rhematic indexical, product),
(rhematic indexical, truth),
(rhematic indexical legisign, agent),
(rhematic indexical legisign, other),
(rhematic indexical legisign, product),
(rhematic indexical legisign, truth),
(rhematic symbol, agent),
(rhematic symbol, other),
(rhematic symbol, product),
(rhematic symbol, truth) }

sign

Source
Charles Peirce
Area
Semiotics
Mode
type
Depth
10
User
scotty


vs.

discourse position

Source
Jacques Lacan
Area
Psychology
Mode
type
Depth
4
User
scotty
10 types of sign

4 types of discourse position
qualisign
iconic sinsign
rhematic indexical
dicent sinsign
iconic legisign
rhematic indexical legisign
dicent indexical legisign
rhematic symbol
dicent symbol
argument

agent
other
product
truth
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