Union
$$A \cup B =$$
{ brainstem, care, cerebellum, cerebrum, competence, fidelity, hope, love, purpose, will, wisdom }
Symmetric Difference
$$A \ominus B =$$
{ brainstem, care, cerebellum, cerebrum, competence, fidelity, hope, love, purpose, will, wisdom }
Difference
$$A - B =$$
{ care, competence, fidelity, hope, love, purpose, will, wisdom }
Cartesian Product
$$A \times B =$$
{ (care, brainstem),
(care, cerebellum),
(care, cerebrum),
(competence, brainstem),
(competence, cerebellum),
(competence, cerebrum),
(fidelity, brainstem),
(fidelity, cerebellum),
(fidelity, cerebrum),
(hope, brainstem),
(hope, cerebellum),
(hope, cerebrum),
(love, brainstem),
(love, cerebellum),
(love, cerebrum),
(purpose, brainstem),
(purpose, cerebellum),
(purpose, cerebrum),
(will, brainstem),
(will, cerebellum),
(will, cerebrum),
(wisdom, brainstem),
(wisdom, cerebellum),
(wisdom, cerebrum) }