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
$$A \cup B =$$
{ auditory, interpretant, object, physical, sign, social, visual }
Symmetric Difference
$$A \ominus B =$$
{ auditory, interpretant, object, physical, sign, social, visual }
Difference
$$A - B =$$
{ interpretant, object, sign }
Difference
$$B - A =$$
{ auditory, physical, social, visual }
Cartesian Product
$$A \times B =$$
{ (interpretant, auditory),
(interpretant, physical),
(interpretant, social),
(interpretant, visual),
(object, auditory),
(object, physical),
(object, social),
(object, visual),
(sign, auditory),
(sign, physical),
(sign, social),
(sign, visual) }
Semiotic theory of Charles Sanders Peirce