Originally posted by Nemesio# 2.) is already wrong ... what if the set of uninteresting numbers is not bounded (below) e.g. has no infinum... (think of integers)....
I recently read about an interesting proof (I think it was in Contact by Carl Sagan, a much better
book than the film). It posits that all numbers are interesting through a proof by contradiction. It
goes as follows:
1) Given, there are a set of uninteresting numbers.
2) Within the range of these numbers, there exists one such number which is lower t ...[text shortened]... e studied.
Nemesio
For reference: http://en.wikipedia.org/wiki/Interesting_number_paradox