[cdavid]

I find that result fairly intuitive, when you understand how measure theory came up to be.

A much more surprising result is that most irrational are normal numbers, but we know almost no normal number (morally speaking, a normal number is an irrational number where each digit is equiprobable in any base).

[waqf]

Define "almost no". I mean, they have full measure and I can give countably many explicit examples, what more could you expect?

[ouid]

I think all mathematicians, given enough time, will eventually say countable to mean infinite.