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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: The Distinguishability argument of the Reals.
Replies: 11   Last Post: Jan 5, 2013 10:30 PM

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Virgil

Posts: 4,479
Registered: 1/6/11
Re: The Distinguishability argument of the Reals.
Posted: Jan 5, 2013 6:58 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<553bf1fb-5267-47c9-ba16-70e7f6f4db8d@u19g2000yqj.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.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 Cantor-list.
>
> 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.
--





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