Virgil
Posts:
8,833
Registered:
1/6/11


Re: The Distinguishability argument of the Reals.
Posted:
Jan 5, 2013 6:58 PM


In article <553bf1fb526747c9ba1670e7f6f4db8d@u19g2000yqj.googlegroups.com>, WM <mueckenh@rz.fhaugsburg.de> wrote:
> On 5 Jan., 22:36, Virgil <vir...@ligriv.com> wrote: > > > Actually, real math suggests that there are reals so incredibly > > inaccessible that finding the digit sequence representing one of them is > > not possible. > > > > In which case such numbers may well not be "finitely distinguishable". > >  > > And they cannot be used in any way in a discourse or in mathematics or > spring off a Cantorlist. > > So, why talk about them at all?
Because if they are not there, some of the necessary properties of the real number field are also not there. 

