How big is Infinity?

What is infinity?

Infinity is a concept that describes something without any limit. In mathematics, it is often used to represent an unbounded quantity that is larger than any finite number.

Can infinity be considered a number?

No, infinity is not a number in the traditional sense. It is a concept or idea used to describe quantities that are unbounded or limitless. It does not behave like finite numbers in arithmetic operations.

Are there different sizes of infinity?

Yes, there are different sizes or levels of infinity. This concept was introduced by mathematician Georg Cantor.

What is countable infinity?

A set is countably infinite if its elements can be put into one-to-one correspondence with the natural numbers. This means that even though the set is infinite, its elements can be listed in a sequence

What is uncountable infinity?

A set is uncountably infinite if its elements cannot be listed in a sequence that corresponds one-to-one with the natural numbers. The real numbers between 0 and 1, for example, form an uncountable infinity because there are more real numbers in any interval than there are natural numbers

Infinity is a bigger than any number you can imagine but we can not determine exactly how much bigger is infinity. The simpler part about the word “Infinity” is that it does not have an end, and since, there is no end defined for the word, the end is not required to be defined. The word Infinity is represented by the symbol ∞ which does not belong to any Integer, real number, fraction, etc. When “infinity” comes in picture, what number pops up into the head? 

• Billion – 10⁹
• Quadrillion? – 10¹⁵
• Googol? – 10¹⁰⁰
• Googolplex? –  10^Googol

But is this infinity? NO.

Let’s understand how big is infinity in this article. Before learning, let us first go through the concept of number line.