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
$$A \cup B =$$
{ becoming, being, discovery, knowing, practical, theoretical, willing }
Symmetric Difference
$$A \ominus B =$$
{ becoming, being, discovery, knowing, practical, theoretical, willing }
Difference
$$A - B =$$
{ discovery, practical, theoretical }
Difference
$$B - A =$$
{ becoming, being, knowing, willing }
Cartesian Product
$$A \times B =$$
{ (discovery, becoming),
(discovery, being),
(discovery, knowing),
(discovery, willing),
(practical, becoming),
(practical, being),
(practical, knowing),
(practical, willing),
(theoretical, becoming),
(theoretical, being),
(theoretical, knowing),
(theoretical, willing) }
Charles Sanders Peirce