Re: abundance of irrationals!)

In article <fb701d3c.0504140910.19f43d42@xxxxxxxxxxxxxxxxxx> mueckenh@xxxxxxxxxxxxxxxxx (W. Mueckenheim) writes:
> "*** T. Winter" <***.Winter@xxxxxx> wrote in message news:<IEvuBI.Krr@xxxxxx>...
....
> > > > > 0.1;
> > > > > 0.10; 0.11;
> > > > > 0.001; 0.101; 0.011; 0.111;
> > > > > ...
> > > > >
> > > > > Your infinity is realised:
> > > >
> > > > We do not "realise" infinities.
>
> Cantor assumed these to be really existing "whole numbers, larger than
> any natural number".

I still do not know what the "realise" here means.

> > > That is realised in my sequence above.
> >
> > I have no idea what you mean with this sentence.
>
> The number of digits of these numbers
> 0.1;
> 0.10; 0.11;
> 0.001; 0.101; 0.011; 0.111;
> does surpass any any fixed natural number.

Indeed. But there is *no* number in that sequence with an infinite number
of non-zero digits.
--
*** t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924131
home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~***/
.

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