Union
$$A \cup B =$$
{ air, consciousness, earth, feeling, fire, material, mental, perception, vegetable, water }
Symmetric Difference
$$A \ominus B =$$
{ air, consciousness, earth, feeling, fire, material, mental, perception, vegetable, water }
Cartesian Product
$$A \times B =$$
{ (air, consciousness),
(air, feeling),
(air, material),
(air, mental),
(air, perception),
(earth, consciousness),
(earth, feeling),
(earth, material),
(earth, mental),
(earth, perception),
(fire, consciousness),
(fire, feeling),
(fire, material),
(fire, mental),
(fire, perception),
(vegetable, consciousness),
(vegetable, feeling),
(vegetable, material),
(vegetable, mental),
(vegetable, perception),
(water, consciousness),
(water, feeling),
(water, material),
(water, mental),
(water, perception) }