Union
$$A \cup B =$$
{ analysis, application, care, competence, comprehension, evaluation, fidelity, hope, knowledge, love, purpose, synthesis, will, wisdom }
Symmetric Difference
$$A \ominus B =$$
{ analysis, application, care, competence, comprehension, evaluation, fidelity, hope, knowledge, love, purpose, synthesis, will, wisdom }
Cartesian Product
$$A \times B =$$
{ (care, analysis),
(care, application),
(care, comprehension),
(care, evaluation),
(care, knowledge),
(care, synthesis),
(competence, analysis),
(competence, application),
(competence, comprehension),
(competence, evaluation),
(competence, knowledge),
(competence, synthesis),
(fidelity, analysis),
(fidelity, application),
(fidelity, comprehension),
(fidelity, evaluation),
(fidelity, knowledge),
(fidelity, synthesis),
(hope, analysis),
(hope, application),
(hope, comprehension),
(hope, evaluation),
(hope, knowledge),
(hope, synthesis),
(love, analysis),
(love, application),
(love, comprehension),
(love, evaluation),
(love, knowledge),
(love, synthesis),
(purpose, analysis),
(purpose, application),
(purpose, comprehension),
(purpose, evaluation),
(purpose, knowledge),
(purpose, synthesis),
(will, analysis),
(will, application),
(will, comprehension),
(will, evaluation),
(will, knowledge),
(will, synthesis),
(wisdom, analysis),
(wisdom, application),
(wisdom, comprehension),
(wisdom, evaluation),
(wisdom, knowledge),
(wisdom, synthesis) }