How can we be completely sure that a number is really infinite and does not end in millions of additional digits?

Question

How can we be completely sure that a number is really infinite and does not end in millions of additional digits?

In: Mathematics

Answer 1

We can’t be and some mathematicians are skeptical of infinite numbers. In fact some are skeptical of just very large numbers that nobody could possibly count to in a lifetime. What does that mean really?

But in the end most people feel the idea of infinity is just too useful and beautiful to pass up. It’s an assumption we make it and it seems to work out pretty well.