On Thu, 13 Jul 2006 13:52:31 -0400, Hatto von Aquitanien <abbot@AugiaDives.hre> wrote:
>firstname.lastname@example.org wrote: > >> In sci.math Aatu Koskensilta <email@example.com> wrote: >>> Hatto von Aquitanien wrote: >>>> For example it was recently pointed out that permutations of N result in >>>> a demonstration that there exist uncountable bijections. >> >>> Really? Where can I find out more about this startling discovery? >> >> The above is Aquitanien's garbled interpretation of the fact >> that there exist countable sets that are not recursively >> enumerable. >> >> Stephen >If you cannot recursively enumerate it, you can't count it.
That depends on exactly what you mean by "count it". And it has no relevance at all to the fact that there exist countable non-re sets (luckily "countable" does have a precise definition).