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Topic: Matheology § 253
Replies: 30   Last Post: Apr 22, 2013 2:44 PM

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 253
Posted: Apr 21, 2013 4:33 PM
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In article
<39cf68de-3f33-442d-8668-4d9c06909c57@m1g2000vbe.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 20 Apr., 22:12, Virgil <vir...@ligriv.com> wrote:
>

> > > 1
> > > 1, 2
> > > 1, 2, 3
> > > ...
> > > contains all naturals, i.e., no one is missing, but that in no line
> > > there are all naturals. That means, in no line all are together, which
> > > are together in the union of all lines. Since when unioning, nothing
> > > is added, that not has been previously in at least one of the lines,
> > > the union must contain at least two numbers, call them m and n, which
> > > were in the list, but not in the same line.

> >
> > Nonsense!
> >
> > Either m > n or n > m or m = n, but only one of these.
> >
> > So either m > n and both are in every line that m is in,
> > or n > m and both are in every line that n is in,
> > or both are in every line the either is in.

>
> Yeah. You got it. But that implies that all numbers of the first
> column are also in one and the same line.


Right, all the numbers in column 1 are also in row 1, at least in the
table shown above whose first column is all 1's.
--





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