## Can there be more than one infinity?

The set of real numbers (numbers that live on the number line) is the first example of a set that is larger than the set of natural numbers—it is ‘uncountably infinite’. **There is more than one ‘infinity’**—in fact, there are infinitely-many infinities, each one larger than before!

## Are all infinities the same size?

**There are actually many different sizes or levels of infinity**; some infinite sets are vastly larger than other infinite sets. The theory of infinite sets was developed in the late nineteenth century by the brilliant mathematician Georg Cantor.

## Are there different types of infinity?

**Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical**.

## How do you prove infinity?

**A set is defined to be infinite if it is not finite**. So, in other words, the set S is infinite if there is no bijective map f : S → n for any integer n. The set N of positive integers is an example of an infinite set.

## Is Google bigger than infinity?

**It’s way bigger than a measly googol**! Googolplex may well designate the largest number named with a single word, but of course that doesn’t make it the biggest number. In a last-ditch effort to hold onto the hope that there is indeed such a thing as the largest number… Child: Infinity!

## What is the biggest number in the world?

Googol

Googol. It is a large number, unimaginably large. It is easy to write in exponential format: **10 ^{100}**, an extremely compact method, to easily represent the largest numbers (and also the smallest numbers).

## Is infinite real number?

Infinity is a “real” and useful concept. However, infinity is not a member of the mathematically defined set of “real numbers” and, therefore, **it is not a number on the real number line**.

## Why are there infinite numbers?

**The sequence of natural numbers never ends, and is infinite**. OK, ^{1}/_{3} is a finite number (it is not infinite). There’s no reason why the 3s should ever stop: they repeat infinitely. So, when we see a number like “0.999…” (i.e. a decimal number with an infinite series of 9s), there is no end to the number of 9s.