The interesting thing about real numbers is that they form an uncountable set, but there are only countably many sentences in English (or any other language with a finite alphabet). This means that almost all real numbers are indescribable- we cannot even talk about most of them as individuals even though we can prove elaborate theorems about them as a set.
John. On 2009-08-24 6:00 PM, Zsbán Ambrus wrote: > On Mon, Aug 24, 2009 at 9:19 PM, R.E. Boss<[email protected]> wrote: > >> To me (when I was in university) it was proven by contradiction: >> if there would exist an uninteresting integer, there would be a smallest one >> / one closest to 0. >> A very interesting number. QED. >> > > I wonder, can you also prove that all real numbers are interesting? I > can't think of a proof. > > Ambrus > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
