Union
$$A \cup B =$$
{ Attitude Skills, Fire Skills, Food Skills, Naturalist Skills, Shelter Skills, Water Skills, matter, motion, rest, soul, space, time }
Symmetric Difference
$$A \ominus B =$$
{ Attitude Skills, Fire Skills, Food Skills, Naturalist Skills, Shelter Skills, Water Skills, matter, motion, rest, soul, space, time }
Cartesian Product
$$A \times B =$$
{ (Attitude Skills, matter),
(Attitude Skills, motion),
(Attitude Skills, rest),
(Attitude Skills, soul),
(Attitude Skills, space),
(Attitude Skills, time),
(Fire Skills, matter),
(Fire Skills, motion),
(Fire Skills, rest),
(Fire Skills, soul),
(Fire Skills, space),
(Fire Skills, time),
(Food Skills, matter),
(Food Skills, motion),
(Food Skills, rest),
(Food Skills, soul),
(Food Skills, space),
(Food Skills, time),
(Naturalist Skills, matter),
(Naturalist Skills, motion),
(Naturalist Skills, rest),
(Naturalist Skills, soul),
(Naturalist Skills, space),
(Naturalist Skills, time),
(Shelter Skills, matter),
(Shelter Skills, motion),
(Shelter Skills, rest),
(Shelter Skills, soul),
(Shelter Skills, space),
(Shelter Skills, time),
(Water Skills, matter),
(Water Skills, motion),
(Water Skills, rest),
(Water Skills, soul),
(Water Skills, space),
(Water Skills, time) }