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
$$A \cup B =$$
{ archetypical, empirical, feeling, intuition, scientific, sensation, thinking }
Symmetric Difference
$$A \ominus B =$$
{ archetypical, empirical, feeling, intuition, scientific, sensation, thinking }
Difference
$$A - B =$$
{ archetypical, empirical, scientific }
Difference
$$B - A =$$
{ feeling, intuition, sensation, thinking }
Cartesian Product
$$A \times B =$$
{ (archetypical, feeling),
(archetypical, intuition),
(archetypical, sensation),
(archetypical, thinking),
(empirical, feeling),
(empirical, intuition),
(empirical, sensation),
(empirical, thinking),
(scientific, feeling),
(scientific, intuition),
(scientific, sensation),
(scientific, thinking) }