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
$$A \cup B =$$
{ accumulating, archetypical, empirical, reformulating, scientific, trans-framing, uni-framing }
Symmetric Difference
$$A \ominus B =$$
{ accumulating, archetypical, empirical, reformulating, scientific, trans-framing, uni-framing }
Difference
$$A - B =$$
{ archetypical, empirical, scientific }
Difference
$$B - A =$$
{ accumulating, reformulating, trans-framing, uni-framing }
Cartesian Product
$$A \times B =$$
{ (archetypical, accumulating),
(archetypical, reformulating),
(archetypical, trans-framing),
(archetypical, uni-framing),
(empirical, accumulating),
(empirical, reformulating),
(empirical, trans-framing),
(empirical, uni-framing),
(scientific, accumulating),
(scientific, reformulating),
(scientific, trans-framing),
(scientific, uni-framing) }