Is the “infinity” between numbers actually infinite?

Question

Can numbers get so small (or so large) that there is kind of a “planck length” effect where you just can’t get any smaller? Or is it really possible to have 1.000000…(infinite)1

EDIT: I know planck length is not a mathmatical function, I just used it as an anology for “smallest thing technically mesurable,” hence the quotation marks and “kind of.”

In: 87

Answer 1

Not only is it infinite, but it’s provable that there are more numbers in between numbers than there are numbers.

To be more precise, the set of real numbers is a larger infinite set than the infinite set of integers.