Something I found interesting, once you understand the proof of why there are "more" real numbers than integers, it becomes easy to see that the p-adic numbers[

Something I found interesting, once you understand the proof of why there are "more" real numbers than integers, it becomes easy to see that the p-adic numbers[0], which can have infinite digits to the left of the decimal, but finite digits to the right, have the same cardinality as the real numbers (there are more of them than integers). This was unintuitive to me when I first thought about it, because I pictured a whole number (no fractional part) even with infinite digits, to be in the natural numbers, but in fact it's not. Or put another way, whole numbers with infinite non-terminating non-repeating digits are not natural numbers [0] https://divisbyzero.com/2008/11/24/what-are-p-adic-numbers/ https://divisbyzero.com/2008/11/24/what-are-p-adic-numbers/