Union
$$A \cup B =$$
{ archery, calligraphy, chariotry, courage, justice, mathematics, music, prudence, rites, temperance }
Symmetric Difference
$$A \ominus B =$$
{ archery, calligraphy, chariotry, courage, justice, mathematics, music, prudence, rites, temperance }
Difference
$$B - A =$$
{ archery, calligraphy, chariotry, mathematics, music, rites }
Cartesian Product
$$A \times B =$$
{ (courage, archery),
(courage, calligraphy),
(courage, chariotry),
(courage, mathematics),
(courage, music),
(courage, rites),
(justice, archery),
(justice, calligraphy),
(justice, chariotry),
(justice, mathematics),
(justice, music),
(justice, rites),
(prudence, archery),
(prudence, calligraphy),
(prudence, chariotry),
(prudence, mathematics),
(prudence, music),
(prudence, rites),
(temperance, archery),
(temperance, calligraphy),
(temperance, chariotry),
(temperance, mathematics),
(temperance, music),
(temperance, rites) }
Cardinal virtues