3 ms·
The set of numbers which can be written with finitely many members of a finite set of symbols is countable, sure. That doesn’t sound like the claim the author
by huitzitziltzin 4y ago
The set of numbers which can be written with finitely many members of a finite set of symbols is countable, sure.
That doesn’t sound like the claim the author is making in the sentence I quoted but maybe I am being uncharitable?
- johnnny 4y agoIf you allow infinitely long descriptions, then I don't know what's the score. In the case of "descriptions" that amount to (potentially infinite) decimal expansions, I think an argument akin to Cantor's diagonal will show that you can't possibly describe all real numbers (or all numbers between 0 and 1), but I'm not confident I can assert this to be true.