Virgil
Posts:
4,660
Registered:
1/6/11
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Re: WMatheology � 047
Posted:
Jun 28, 2012 5:58 PM
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In article
<792e463a-22ff-4c30-a927-c46077eb5cc6@q2g2000vbv.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 28 Jun., 21:40, William Hughes <wpihug...@gmail.com> wrote:
> > On Jun 28, 10:04 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> >
>
> > > There is no number next to zero
> >
> > So we have
> >
>
> If you can't uaccept the structure of the intervals with rational
> endpoints, try to understand the covering of all rationals q_n by
> intervals I_n of length sqrt(2)*10^-n. Then the endpoints are
> irrational. Further there is no rational number between two intervals.
If the centers of your I_n are rationals, then of any two of them, say
I_n and I_m, can be own that they either have a rational in common or
have a rational strictly between them. While I do not here provide a
proof, such a proof is not difficult,and any competent mathematician
should be able to provide one for him or her self.
> Can there be further irrationals, separated neither by rationals nor
> by irreals nor by blanks, nor by nothing?
Only in WMatheology, not in reality.
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