Union
$$A \cup B =$$
{ antithesis, compassion, courage, honesty, honor, integrity, loyalty, respect, self-control, synthesis, thesis }
Symmetric Difference
$$A \ominus B =$$
{ antithesis, compassion, courage, honesty, honor, integrity, loyalty, respect, self-control, synthesis, thesis }
Difference
$$A - B =$$
{ compassion, courage, honesty, honor, integrity, loyalty, respect, self-control }
Cartesian Product
$$A \times B =$$
{ (compassion, antithesis),
(compassion, synthesis),
(compassion, thesis),
(courage, antithesis),
(courage, synthesis),
(courage, thesis),
(honesty, antithesis),
(honesty, synthesis),
(honesty, thesis),
(honor, antithesis),
(honor, synthesis),
(honor, thesis),
(integrity, antithesis),
(integrity, synthesis),
(integrity, thesis),
(loyalty, antithesis),
(loyalty, synthesis),
(loyalty, thesis),
(respect, antithesis),
(respect, synthesis),
(respect, thesis),
(self-control, antithesis),
(self-control, synthesis),
(self-control, thesis) }