All numbers are interesting.

Originally posted by Nemesio
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

# 2.) is already wrong ... what if the set of uninteresting numbers is not bounded (below) e.g. has no infinum... (think of integers)....

The paradox of this proof is dependent on the definition of "interesting numbers" including the lowest uninteresting number.

If the lowest uninteresting number is simply not interesting to you, then the proof falls apart.

(Example: if no number is "interesting"..)