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
$$A \cup B =$$
{ agent, effort, external stimulus, idle, other, product, truth }
Symmetric Difference
$$A \ominus B =$$
{ agent, effort, external stimulus, idle, other, product, truth }
Difference
$$A - B =$$
{ agent, other, product, truth }
Difference
$$B - A =$$
{ effort, external stimulus, idle }
Cartesian Product
$$A \times B =$$
{ (agent, effort),
(agent, external stimulus),
(agent, idle),
(other, effort),
(other, external stimulus),
(other, idle),
(product, effort),
(product, external stimulus),
(product, idle),
(truth, effort),
(truth, external stimulus),
(truth, idle) }