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
$$A \cup B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, discovery, practical, theoretical }
Symmetric Difference
$$A \ominus B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, discovery, practical, theoretical }
Difference
$$A - B =$$
{ discovery, practical, theoretical }
Difference
$$B - A =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic }
Cartesian Product
$$A \times B =$$
{ (discovery, Heterophonic),
(discovery, Homophonic),
(discovery, Homorhythmic),
(discovery, Monophonic),
(discovery, Polyphonic),
(practical, Heterophonic),
(practical, Homophonic),
(practical, Homorhythmic),
(practical, Monophonic),
(practical, Polyphonic),
(theoretical, Heterophonic),
(theoretical, Homophonic),
(theoretical, Homorhythmic),
(theoretical, Monophonic),
(theoretical, Polyphonic) }
Charles Sanders Peirce