Talk:Open question (mathematics)

Goldbach's conjecture not a good example
Goldbach's conjecture is probably not a good example; there's overwhelmingly strong reason to believe that it's true, just no proof. (The reasons I'm talking about are probabilistic arguments, far more convincing than just the fact that GC has been verified up to some large number.)

It would be better to think of something where both answers are really realistic possibilities given our current state of knowledge. Offhand I'm not coming up with anything as simple and explicable as GC. Of course there are lots and lots of questions where we would not be astonished by either answer, but of these, which are simple enough to easily explain, and important enough to grab the reader's attention? --Trovatore 05:30, 8 March 2006 (UTC)