Define "interesting" and then we can talk about proving whether something is or is not "interesting", esp. the statement "an infinite sequence isn't interesting just because all its terms are interesting". It's hard to fathom an infinite sequence, all of whose terms are "interesting", leading to a (unique) limit, but the limit is not "interesting".
----- Original Message ----- From: Zsbán Ambrus <[email protected]> Date: Monday, August 24, 2009 15:19 Subject: Re: [Jprogramming] Unforgettable times To: Programming forum <[email protected]> > On Tue, Aug 25, 2009 at 12:11 AM, Roger Hui<[email protected]> wrote: > > a. All integers are interesting. > > b. A rational number is a ratio of two integers. > > Yep, all rationals are interesting, that much I accept. > > > c. A real number is the limit of a sequence of rationals. > > So? These are infinite sequences, an infinite sequence isn't > interesting just because all its terms are interesting. > Maybe it is, > but this is no proof. > > Ambrus ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
