Infinite Sets
Define Infinite Sets.
A set of elements A is said to be infinite if the elements of its proper subset A’ can be put into one-to-one correspondence with the elements of A.
List some Rxamples of Infinite Sets.
Some examples of infinite sets are:
- Set of whole numbers
- Set of integers
- Line segments in a plane
Is Union of the Countable Infinite Sets Countable or Uncountable?
The union of two or more countable sets is countable.
What is the Cardinality of Different Infinite Sets?
Cardinality of different infinite sets are
- Cardinality of Countably Infinite Set = ℵ0
- Cardinality of Lowest Uncountably Infinite Set = ℵ1
- Cardinality of Uncountably Infinite Set = ℵ2
Can Infinite Sets be Represented in Roaster form?
Infinite sets cannot be represented in Roaster form.
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