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
$$A \cup B =$$
{ material things, metaphysical, omniscience, positivity, senses, signs, theological, thoughts of others }
Symmetric Difference
$$A \ominus B =$$
{ material things, metaphysical, omniscience, positivity, senses, signs, theological, thoughts of others }
Difference
$$A - B =$$
{ metaphysical, positivity, theological }
Difference
$$B - A =$$
{ material things, omniscience, senses, signs, thoughts of others }
Cartesian Product
$$A \times B =$$
{ (metaphysical, material things),
(metaphysical, omniscience),
(metaphysical, senses),
(metaphysical, signs),
(metaphysical, thoughts of others),
(positivity, material things),
(positivity, omniscience),
(positivity, senses),
(positivity, signs),
(positivity, thoughts of others),
(theological, material things),
(theological, omniscience),
(theological, senses),
(theological, signs),
(theological, thoughts of others) }