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, causal, form, gross, matter, purpose, subtle }
Symmetric Difference
$$A \ominus B =$$
{ agent, causal, form, gross, matter, purpose, subtle }
Difference
$$A - B =$$
{ causal, gross, subtle }
Difference
$$B - A =$$
{ agent, form, matter, purpose }
Cartesian Product
$$A \times B =$$
{ (causal, agent),
(causal, form),
(causal, matter),
(causal, purpose),
(gross, agent),
(gross, form),
(gross, matter),
(gross, purpose),
(subtle, agent),
(subtle, form),
(subtle, matter),
(subtle, purpose) }
Three Bodies Doctrine