On Jun 26, 8:19 pm, Tim Little <t...@little-possums.net> wrote: > On 2010-06-26, Charlie-Boo <shymath...@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. > > - Tim
If I understand Charlie's definition correctly some of the machines will keep outputing digits forever. That is what I meant when when i said that pi and e are generated by an algorithm. There are enough algorithms to produce all the compressible infinite strings.