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### Non-denumerably infinite

If you cannot completely count the elements of an infinite set, it is called uncountably infinite.

##### Explanation

The amount of real numbers is non-denumerably infinite. That will not really be a surprise to anyone, because it includes all the numbers on the number line.

But even the amount of real numbers between 0 and 1 is uncountable, something you might not expect. However, infinity is not a number, and it has no fixed value.