I'm familiar with the diagonal argument, but the version I learned in Discrete Math courses defines the reals as little more than a (potentially infinite) serie

I'm familiar with the diagonal argument, but the version I learned in Discrete Math courses defines the reals as little more than a (potentially infinite) series of digits with a decimal point somewhere, which I thought didn't hold up to much scrutiny. But this stuff is way above my mathematics pay grade. :) I stumbled onto the Wikipedia article "Construction of the real numbers" and I have no clue what is going on. https://en.wikipedia.org/wiki/Construction_of_the_real_numbers https://en.wikipedia.org/wiki/Construction_of_the_real_numbe...