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, agent, form, matter, purpose }
Symmetric Difference
$$A \ominus B =$$
{ Formal, Natural, Social, agent, form, matter, purpose }
Difference
$$A - B =$$
{ Formal, Natural, Social }
Difference
$$B - A =$$
{ agent, form, matter, purpose }
Cartesian Product
$$A \times B =$$
{ (Formal, agent),
(Formal, form),
(Formal, matter),
(Formal, purpose),
(Natural, agent),
(Natural, form),
(Natural, matter),
(Natural, purpose),
(Social, agent),
(Social, form),
(Social, matter),
(Social, purpose) }
Branches of science