
Re: Visual Presentation of Real Number System
Posted:
Nov 27, 2013 12:11 PM


I was just playing off the fact that the set of uncomputable (indeterminable, non particular) numbers appears to be uncountable while the set of computable (determinable, particular) numbers appear to be countable. While we may have been using "infinite" like 3rd graders, I assumed all along that there were arguments involving limits behind our statements. But I must draw a line in the sand with "throw an uncountable number of darts".:)
Bob Hansen
On Nov 27, 2013, at 11:37 AM, Joe Niederberger <niederberger@comcast.net> wrote:
> R Hansen says: >> The uncomputable's version of uncountable is infinitely larger than the computable's version. > > Sorry  didn't get the joke here. Computable numbers are countable. My suggestion was to therefore throw an uncountable numbers of darts (enough to hit every point in the interval (0,1)). Each darts then "specifies" a number by hitting it, and we are in agreement that no "specified" number can ever be hit (again.) > > I'm not getting what you mean by "computable's version". Computable numbers version of uncountable? Does not compute... > > Cheers, > Joe N

