On 2010-06-26, Charlie-Boo <shymathguy@gmail.com> wrote: > It is trivial to calculate in binary (using only 0 and 1) and output > any desired string surrounded by 2 whenever we want
You use the singular here, by which your statement is correct. Any single finite string can be so produced. What's more, any finite sequence of finite strings can be produced.
However, you need an infinite sequence of finite strings to define most real numbers, and there are not enough finite algorithms to produce them all.
