There are different kinds of infinity. The integers are countable, the real numbers aren&#x27;t. You can prove that if you try to map each integer to some rational number, there will be some rational numbers that are not on that list --- there are more of them. See <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Cantor%27s_diagonal_argument" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Cantor%27s_diagonal_argument</a>.