What are the kind of set and their definition?

Answer 1

Here is the list of some sets based on Wikipedia:

• Empty set - the set that contains no elements.
• Subset - the member of the set. One example is A= {1} ⊆ B = {{1},2}. (Note: A subset is different from the element of the set)
• Power set - the set of all subsets. One example is: Let A = ∅. Then, P(A) = {∅, {∅}}
• Unit set - the set that contains only one element.
• Set of prime numbers - the set of all prime numbers, denoted by ℙ.
• Set of natural numbers - the set of all natural numbers, denoted by ℕ.
• Set of integers - the set of all integers, denoted by ℤ.
• Cantor set
• Set of rational numbers - the set of all rational numbers, denoted by ℚ
• Set of real numbers - the set of all real numbers, denoted by ℝ.