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
$$A \cup B =$$
{ declarative, exclamatory, imperative, interrogative, metaphysical, positivity, theological }
Symmetric Difference
$$A \ominus B =$$
{ declarative, exclamatory, imperative, interrogative, metaphysical, positivity, theological }
Difference
$$A - B =$$
{ metaphysical, positivity, theological }
Difference
$$B - A =$$
{ declarative, exclamatory, imperative, interrogative }
Cartesian Product
$$A \times B =$$
{ (metaphysical, declarative),
(metaphysical, exclamatory),
(metaphysical, imperative),
(metaphysical, interrogative),
(positivity, declarative),
(positivity, exclamatory),
(positivity, imperative),
(positivity, interrogative),
(theological, declarative),
(theological, exclamatory),
(theological, imperative),
(theological, interrogative) }