Union
$$A \cup B =$$
{ argumentative, descriptive, existential, expository, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, narrative, naturalistic, spatial }
Symmetric Difference
$$A \ominus B =$$
{ argumentative, descriptive, existential, expository, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, narrative, naturalistic, spatial }
Cartesian Product
$$A \times B =$$
{ (existential, argumentative),
(existential, descriptive),
(existential, expository),
(existential, narrative),
(interpersonal, argumentative),
(interpersonal, descriptive),
(interpersonal, expository),
(interpersonal, narrative),
(intrapersonal, argumentative),
(intrapersonal, descriptive),
(intrapersonal, expository),
(intrapersonal, narrative),
(kinesthetic, argumentative),
(kinesthetic, descriptive),
(kinesthetic, expository),
(kinesthetic, narrative),
(linguistic, argumentative),
(linguistic, descriptive),
(linguistic, expository),
(linguistic, narrative),
(logical, argumentative),
(logical, descriptive),
(logical, expository),
(logical, narrative),
(musical, argumentative),
(musical, descriptive),
(musical, expository),
(musical, narrative),
(naturalistic, argumentative),
(naturalistic, descriptive),
(naturalistic, expository),
(naturalistic, narrative),
(spatial, argumentative),
(spatial, descriptive),
(spatial, expository),
(spatial, narrative) }