Equality
$$A \neq B$$
A is not equal to B
Subset
$$A \not\subseteq B$$
A is not a subset of or equal to B
Superset
$$A \not\supseteq B$$
A is not a superset of or equal to B
Intersection
$$A \cap B =$$
{ }
Union
$$A \cup B =$$
{ anagogical, concrete operational, formal operational, literal, moral, pre-operational, sensorimotor, typological }
Symmetric Difference
$$A \ominus B =$$
{ anagogical, concrete operational, formal operational, literal, moral, pre-operational, sensorimotor, typological }
Difference
$$A - B =$$
{ anagogical, literal, moral, typological }
Difference
$$B - A =$$
{ concrete operational, formal operational, pre-operational, sensorimotor }
Cartesian Product
$$A \times B =$$
{ (anagogical, concrete operational),
(anagogical, formal operational),
(anagogical, pre-operational),
(anagogical, sensorimotor),
(literal, concrete operational),
(literal, formal operational),
(literal, pre-operational),
(literal, sensorimotor),
(moral, concrete operational),
(moral, formal operational),
(moral, pre-operational),
(moral, sensorimotor),
(typological, concrete operational),
(typological, formal operational),
(typological, pre-operational),
(typological, sensorimotor) }
Allegory in the Middle Ages