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
$$A \cup B =$$
{ animal, heaven, hell, interpretant, object, plant, sign }
Symmetric Difference
$$A \ominus B =$$
{ animal, heaven, hell, interpretant, object, plant, sign }
Difference
$$A - B =$$
{ animal, heaven, hell, plant }
Difference
$$B - A =$$
{ interpretant, object, sign }
Cartesian Product
$$A \times B =$$
{ (animal, interpretant),
(animal, object),
(animal, sign),
(heaven, interpretant),
(heaven, object),
(heaven, sign),
(hell, interpretant),
(hell, object),
(hell, sign),
(plant, interpretant),
(plant, object),
(plant, sign) }