Union
$$A \cup B =$$
{ called, common, conscious competence, conscious incompetence, holy sage, superior, unconscious competence, unconscious incompetence, worthy }
Symmetric Difference
$$A \ominus B =$$
{ called, common, conscious competence, conscious incompetence, holy sage, superior, unconscious competence, unconscious incompetence, worthy }
Difference
$$A - B =$$
{ called, common, holy sage, superior, worthy }
Difference
$$B - A =$$
{ conscious competence, conscious incompetence, unconscious competence, unconscious incompetence }
Cartesian Product
$$A \times B =$$
{ (called, conscious competence),
(called, conscious incompetence),
(called, unconscious competence),
(called, unconscious incompetence),
(common, conscious competence),
(common, conscious incompetence),
(common, unconscious competence),
(common, unconscious incompetence),
(holy sage, conscious competence),
(holy sage, conscious incompetence),
(holy sage, unconscious competence),
(holy sage, unconscious incompetence),
(superior, conscious competence),
(superior, conscious incompetence),
(superior, unconscious competence),
(superior, unconscious incompetence),
(worthy, conscious competence),
(worthy, conscious incompetence),
(worthy, unconscious competence),
(worthy, unconscious incompetence) }