Union
$$A \cup B =$$
{ air, courage, earth, fire, justice, prudence, temperance, vegetable, water }
Symmetric Difference
$$A \ominus B =$$
{ air, courage, earth, fire, justice, prudence, temperance, vegetable, water }
Difference
$$A - B =$$
{ courage, justice, prudence, temperance }
Difference
$$B - A =$$
{ air, earth, fire, vegetable, water }
Cartesian Product
$$A \times B =$$
{ (courage, air),
(courage, earth),
(courage, fire),
(courage, vegetable),
(courage, water),
(justice, air),
(justice, earth),
(justice, fire),
(justice, vegetable),
(justice, water),
(prudence, air),
(prudence, earth),
(prudence, fire),
(prudence, vegetable),
(prudence, water),
(temperance, air),
(temperance, earth),
(temperance, fire),
(temperance, vegetable),
(temperance, water) }
Cardinal virtues