Virgil
Posts:
8,833
Registered:
1/6/11


Re: WMytheology again
Posted:
May 2, 2013 5:47 PM


In article <5681362194004b67a67e8ac839a06e7f@p14g2000vbn.googlegroups.com>, WM <mueckenh@rz.fhaugsburg.de> wrote:
> On 2 Mai, 11:00, Zeit Geist <tucsond...@me.com> wrote: > > On Thursday, May 2, 2013 1:02:46 AM UTC7, 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. 

