[syki]

They are using a different notion of “measure” than the standard notion of absolute value of the difference. Under the standard measure every number is within epsilon distance of a rational for any positive epsilon. Thank you for the clarification.

[pfortuny]

Yes, of course. Sorry. It is an asymptotic result, so the meaning of "distance" is very blurry in my statement.

I was replying to the previous comment which seemed to imply that knowledge.

[syki]

I’ve never seen this before so thanks for the links and clarification. I learned something new.