Union
$$A \cup B =$$
{ adventure, art, beauty, electric, fossil, gravitational, hydric, organic, peace, solar, thermal, truth, wind }
Symmetric Difference
$$A \ominus B =$$
{ adventure, art, beauty, electric, fossil, gravitational, hydric, organic, peace, solar, thermal, truth, wind }
Cartesian Product
$$A \times B =$$
{ (electric, adventure),
(electric, art),
(electric, beauty),
(electric, peace),
(electric, truth),
(fossil, adventure),
(fossil, art),
(fossil, beauty),
(fossil, peace),
(fossil, truth),
(gravitational, adventure),
(gravitational, art),
(gravitational, beauty),
(gravitational, peace),
(gravitational, truth),
(hydric, adventure),
(hydric, art),
(hydric, beauty),
(hydric, peace),
(hydric, truth),
(organic, adventure),
(organic, art),
(organic, beauty),
(organic, peace),
(organic, truth),
(solar, adventure),
(solar, art),
(solar, beauty),
(solar, peace),
(solar, truth),
(thermal, adventure),
(thermal, art),
(thermal, beauty),
(thermal, peace),
(thermal, truth),
(wind, adventure),
(wind, art),
(wind, beauty),
(wind, peace),
(wind, truth) }