Infinite Set Notation
The infinite sets are denoted by using dots (. . .) at the end of the elements which follow a pattern. Any set A which is an infinite set can be represented as follows:
A = {a1 , a2 , a3 , . . . }
Let A be an infinite set then it is denoted as A = {1, 2, 3, . . .}, here we can see that 1, 2, 3, . . . is a common pattern that leads to further elements such as 4, 5, 6, and so on. Thus, there are infinitely many elements of set A, which can simply be represented by {1, 2, 3, . . .}.
Infinite Set
Infinte set is one of the types of Sets based upon the cardinality in Set Theory and sets are one of the important topics in mathematics. In simple words, an infinite set is a set with infinite elements i.e., the number of elements in an infinite set never depletes. This concept of infinite sets seems to be complicated at first sight but we’ll try our best to make it as comprehensive and understanding as possible.
This article deals with this concept and tries its best to explain the concept in detail. Other than that, this article covers definition, notation, types, cardinality, examples, and properties of Infinite Sets. So, let’s start learning about Infinite Sets.
Table of Content
- What are Infinite Sets?
- Infinite Sets Definition
- Infinite Set Notation
- Infinite Set Examples
- Types of Infinite Sets
- Properties of Infinite Sets
- Venn Diagram for Infinite Sets
- Difference Between Finite Sets and Infinite Sets