Union
$$A \cup B =$$
{ conjunctive, earth, fire, individuative-reflective, intuitive-projective, mythic-literal, primal, synthetic-conventional, universalizing, void, water, wind }
Symmetric Difference
$$A \ominus B =$$
{ conjunctive, earth, fire, individuative-reflective, intuitive-projective, mythic-literal, primal, synthetic-conventional, universalizing, void, water, wind }
Cartesian Product
$$A \times B =$$
{ (earth, conjunctive),
(earth, individuative-reflective),
(earth, intuitive-projective),
(earth, mythic-literal),
(earth, primal),
(earth, synthetic-conventional),
(earth, universalizing),
(fire, conjunctive),
(fire, individuative-reflective),
(fire, intuitive-projective),
(fire, mythic-literal),
(fire, primal),
(fire, synthetic-conventional),
(fire, universalizing),
(void, conjunctive),
(void, individuative-reflective),
(void, intuitive-projective),
(void, mythic-literal),
(void, primal),
(void, synthetic-conventional),
(void, universalizing),
(water, conjunctive),
(water, individuative-reflective),
(water, intuitive-projective),
(water, mythic-literal),
(water, primal),
(water, synthetic-conventional),
(water, universalizing),
(wind, conjunctive),
(wind, individuative-reflective),
(wind, intuitive-projective),
(wind, mythic-literal),
(wind, primal),
(wind, synthetic-conventional),
(wind, universalizing) }