The concept of a set of numbers is very simple: it is simply a collection of numbers. That is all it is. The set may contain infinitely many numbers, or just a finite lot of them, even one or none. The numbers in the set may have some relationship with one others in the set or they may be no such relationship.
The basic concepts are:a setsome elements, anda rule which can be used to decide whether or not a particular element belongs to the set.
Many infinite sets appear in mathematics: the set of counting numbers; the set of integers; the set of rational numbers; the set of irrational numbers; the set of real numbers; the set of complex numbers. Also, certain subsets of these, such as the set of square numbers, the set of prime numbers, and others.
In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.
All of the natural numbers.
The set of integers, the set of rational numbers, the set of real numbers, the set of complex numbers, ...
A set of numbers usually refers to a group (set) of numbers with certain discreption or properties. All odd numbers less than 10 is the set {1,3,5,7,9} The set of numbers which solve the problem 3x^2 -7 = 68 is {5 and -5}
Rational numbers are mathematical concepts. They do not do anything.
Numbers are abstract concepts; they do not have areas.
Not sure. The answer is not "a set" since a set can also refer to collections of abstract concepts (not objects), they can be empty (collections of no objects), the elements of a set need not have anything in common.
The basic concepts are:a setsome elements, anda rule which can be used to decide whether or not a particular element belongs to the set.
No, it is not.
Many infinite sets appear in mathematics: the set of counting numbers; the set of integers; the set of rational numbers; the set of irrational numbers; the set of real numbers; the set of complex numbers. Also, certain subsets of these, such as the set of square numbers, the set of prime numbers, and others.
The derived set of a set of rational numbers is the set of all limit points of the original set. In other words, it includes all real numbers that can be approached arbitrarily closely by elements of the set. Since the rational numbers are dense in the real numbers, the derived set of a set of rational numbers is the set of all real numbers.
"Universe" and "universal set" are two unrelated concepts.
No. Numbers are abstract concepts: they are alive and so have no feelings (sorry, numbers!)
The concepts of "prime numbers" and "composite numbers" make sense for integers (whole numbers), not for arbitrary real numbers.
real numbers