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
$$A \cup B =$$
{ deliberative thinking, discovery, instinctive reactions, learned reactions, practical, reflective thinking, self-conscious emotions, self-reflective thinking, theoretical }
Symmetric Difference
$$A \ominus B =$$
{ deliberative thinking, discovery, instinctive reactions, learned reactions, practical, reflective thinking, self-conscious emotions, self-reflective thinking, theoretical }
Difference
$$A - B =$$
{ discovery, practical, theoretical }
Difference
$$B - A =$$
{ deliberative thinking, instinctive reactions, learned reactions, reflective thinking, self-conscious emotions, self-reflective thinking }
Cartesian Product
$$A \times B =$$
{ (discovery, deliberative thinking),
(discovery, instinctive reactions),
(discovery, learned reactions),
(discovery, reflective thinking),
(discovery, self-conscious emotions),
(discovery, self-reflective thinking),
(practical, deliberative thinking),
(practical, instinctive reactions),
(practical, learned reactions),
(practical, reflective thinking),
(practical, self-conscious emotions),
(practical, self-reflective thinking),
(theoretical, deliberative thinking),
(theoretical, instinctive reactions),
(theoretical, learned reactions),
(theoretical, reflective thinking),
(theoretical, self-conscious emotions),
(theoretical, self-reflective thinking) }
Charles Sanders Peirce