Union
$$A \cup B =$$
{ analysis, application, comprehension, evaluation, interpretant, knowledge, object, sign, synthesis }
Symmetric Difference
$$A \ominus B =$$
{ analysis, application, comprehension, evaluation, interpretant, knowledge, object, sign, synthesis }
Difference
$$A - B =$$
{ analysis, application, comprehension, evaluation, knowledge, synthesis }
Cartesian Product
$$A \times B =$$
{ (analysis, interpretant),
(analysis, object),
(analysis, sign),
(application, interpretant),
(application, object),
(application, sign),
(comprehension, interpretant),
(comprehension, object),
(comprehension, sign),
(evaluation, interpretant),
(evaluation, object),
(evaluation, sign),
(knowledge, interpretant),
(knowledge, object),
(knowledge, sign),
(synthesis, interpretant),
(synthesis, object),
(synthesis, sign) }