What are the kinds of sets in mathematics?

Answer 1

There are all kinds of sets:The empty set
Sets comprising different kinds of numbers: natural numbers, integers, rational numbers, Irrational Numbers, real numbers, complex numbers, quaternions, and so on;

Subsets of integers such as odd numbers, primes, multiples of selected integer, powers of integers;

Cyclic groups,

and so on.

Answer 2

There are loads of types of sets. For example, for number alone, there are

the empty set,

N, the natural numbers

Z, the integers,

Q, the rational numbers

the irrational numbers

R, the real numbers

C, the complex numbers

H, the quaternions.

Then there are subsets of these such as

odd numbers, even numbers, primes, composites, powers, and so on.

There are sets of polynomials, of matrices, of invertible functions,

and so on, and on.