Union
$$A \cup B =$$
{ existential, hearing, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, naturalistic, sight, smell, spatial, taste, touch }
Symmetric Difference
$$A \ominus B =$$
{ existential, hearing, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, naturalistic, sight, smell, spatial, taste, touch }
Cartesian Product
$$A \times B =$$
{ (existential, hearing),
(existential, sight),
(existential, smell),
(existential, taste),
(existential, touch),
(interpersonal, hearing),
(interpersonal, sight),
(interpersonal, smell),
(interpersonal, taste),
(interpersonal, touch),
(intrapersonal, hearing),
(intrapersonal, sight),
(intrapersonal, smell),
(intrapersonal, taste),
(intrapersonal, touch),
(kinesthetic, hearing),
(kinesthetic, sight),
(kinesthetic, smell),
(kinesthetic, taste),
(kinesthetic, touch),
(linguistic, hearing),
(linguistic, sight),
(linguistic, smell),
(linguistic, taste),
(linguistic, touch),
(logical, hearing),
(logical, sight),
(logical, smell),
(logical, taste),
(logical, touch),
(musical, hearing),
(musical, sight),
(musical, smell),
(musical, taste),
(musical, touch),
(naturalistic, hearing),
(naturalistic, sight),
(naturalistic, smell),
(naturalistic, taste),
(naturalistic, touch),
(spatial, hearing),
(spatial, sight),
(spatial, smell),
(spatial, taste),
(spatial, touch) }
Theory of multiple intelligences