What are Infinite Sets?
In set theory, all sets that contain either an uncountable number of elements or if countable then an unlimited number of elements are called infinite sets. In other, words, infinite sets are those sets that go on indefinitely and never deplete, however finite elements we removed.
One of the most common examples of an infinite set is a set of all natural numbers i.e., N. This set is one of the first sets introduced in set theory and used throughout to define many structures and objects. Other than a set of natural numbers, a set of integers (Z) and a set of rational numbers (Q) are also examples of infinite sets.
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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