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Topic: WMytheology again
Replies: 11   Last Post: May 4, 2013 3:57 PM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: WMytheology again
Posted: May 2, 2013 5:47 PM
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In article
<56813621-9400-4b67-a67e-8ac839a06e7f@p14g2000vbn.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 2 Mai, 11:00, Zeit Geist <tucsond...@me.com> wrote:
> > On Thursday, May 2, 2013 1:02:46 AM UTC-7, WM wrote:
> > > On 2 Mai, 07:32, Virgil <vir...@ligriv.com> wrote:
> >
> > > > > by construction, every finite initial segment s_n = {1, 2, 3, ..., n}
> >
> > > > > is in one single line, all finite initial segments are in one single
> >
> > > > > line. But |N is not more than all its finite initial segments.
> >
> > > > It is the union of all those finite lines, FISONs, and while each line
> >
> > > > has a largest natural in it the list of all lines does not nor does the
> >
> > > > union of all lines in that list.
> >
> > > The list has no last line. Each line is a union. So there is no last
> >
> > > union. So there are infinitely many unions. So it is useless to union
> >
> > > all lines of the list in order to obtain something that has not been
> >
> > > in an infinity of unions before.
> >
> > Each natural, taken as an individual, is an element of infinitely
> > many lines, that is more than enough for it to be in the union.

>
> Each line is the union of all preceding lines. And there are
> infinitely many unions in this infinite list. That is more than enough
> to contain infinitely many naturals.


Any union of infinitely many "lines" which are all differing FISONs
results in |N, which is not only infinitely many naturals but is ALL of
naturals.
--





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