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
$$A \cup B =$$
{ Formal, Natural, Social, becoming, being, knowing, willing }
Symmetric Difference
$$A \ominus B =$$
{ Formal, Natural, Social, becoming, being, knowing, willing }
Difference
$$A - B =$$
{ Formal, Natural, Social }
Difference
$$B - A =$$
{ becoming, being, knowing, willing }
Cartesian Product
$$A \times B =$$
{ (Formal, becoming),
(Formal, being),
(Formal, knowing),
(Formal, willing),
(Natural, becoming),
(Natural, being),
(Natural, knowing),
(Natural, willing),
(Social, becoming),
(Social, being),
(Social, knowing),
(Social, willing) }
Branches of science