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
$$A \cup B =$$
{ avoiding, creating obstacles, deluding, getting, obscuring knowledge, obscuring perception, ruling, socially useful }
Symmetric Difference
$$A \ominus B =$$
{ avoiding, creating obstacles, deluding, getting, obscuring knowledge, obscuring perception, ruling, socially useful }
Difference
$$A - B =$$
{ avoiding, getting, ruling, socially useful }
Difference
$$B - A =$$
{ creating obstacles, deluding, obscuring knowledge, obscuring perception }
Cartesian Product
$$A \times B =$$
{ (avoiding, creating obstacles),
(avoiding, deluding),
(avoiding, obscuring knowledge),
(avoiding, obscuring perception),
(getting, creating obstacles),
(getting, deluding),
(getting, obscuring knowledge),
(getting, obscuring perception),
(ruling, creating obstacles),
(ruling, deluding),
(ruling, obscuring knowledge),
(ruling, obscuring perception),
(socially useful, creating obstacles),
(socially useful, deluding),
(socially useful, obscuring knowledge),
(socially useful, obscuring perception) }