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
$$A \cup B =$$
{ constitutive (operational closure), emotional, intellectual, occupational, physical, relational (structural coupling), social, spiritual }
Symmetric Difference
$$A \ominus B =$$
{ constitutive (operational closure), emotional, intellectual, occupational, physical, relational (structural coupling), social, spiritual }
Difference
$$A - B =$$
{ constitutive (operational closure), relational (structural coupling) }
Difference
$$B - A =$$
{ emotional, intellectual, occupational, physical, social, spiritual }
Cartesian Product
$$A \times B =$$
{ (constitutive (operational closure), emotional),
(constitutive (operational closure), intellectual),
(constitutive (operational closure), occupational),
(constitutive (operational closure), physical),
(constitutive (operational closure), social),
(constitutive (operational closure), spiritual),
(relational (structural coupling), emotional),
(relational (structural coupling), intellectual),
(relational (structural coupling), occupational),
(relational (structural coupling), physical),
(relational (structural coupling), social),
(relational (structural coupling), spiritual) }