Virgil
Posts:
4,482
Registered:
1/6/11
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Re: WMatheology � 191
Posted:
Jan 17, 2013 5:22 PM
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In article
<13675762-2934-4dde-84c8-8ff4d37e8004@bx10g2000vbb.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 17 Jan., 08:42, Ralf Bader <ba...@nefkom.net> wrote:
>
> > In a similar way it seems to be
> > impossible for Mückenheim to grasp something actually (not in the
> > always-growing sense) countably infinite without a boundary at the far end.
>
> Not at all! I consider and vivdly imagine the actually infinite set of
> all terminating decimal representations of the reals containg all
> natural numbers as indices. Alas I cannot imagine that there is
> another decimal representations of the reals which deviates from all
> of them. Can you?
>
> Regards, WM
Easily! Any negative real number, as there will also have a sign.
And any real of absolute valueof 1 or greater as these numbers will
have digits indexed with non-natural integers.
And then there are all those uncountably many that no one can imagine
specifically but must exist if the ral number fiels is to satisfy its
own requirements..
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