Good post, even if it's arguable.
I've tried to explain the whole "uncountable" concept to people before but it's a tricky one for sure :) Especially for people who aren't used to the concept from language learning.
It's pretty debatable whether there's any need to focus on continuous vs discrete; in the actual code, Satoshi had to use quantization, because computers are discrete (except for the fascinating "analog computers" - look them up they're great).