Virgil
Posts:
4,482
Registered:
1/6/11
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Re: ZFC and God
Posted:
Jan 25, 2013 7:20 PM
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In article
<5a23c21e-0417-4816-9895-85acaa1907be@w8g2000yqm.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 25 Jan., 20:18, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <b443b0b0-2e03-4179-ab2f-dec89805d...@u16g2000yqb.googlegroups.com>,
> >
> >
> >
> >
> >
> > WM <mueck...@rz.fh-augsburg.de> wrote:
> > > On 25 Jan., 09:47, Virgil <vir...@ligriv.com> wrote:
> >
> > > > > > > Then ponder a while about the following sequence
> >
> > > > > > > d
> >
> > > > > > > d1
> > > > > > > 2d
> >
> > > > > > > d11
> > > > > > > 2d2
> > > > > > > 33d
> >
> > > > > > > and so on. In every square there are as many d's as lines. The
> > > > > > > same
> > > > > > > could be shown for the columns.
> >
> > > > > > Yes, in this sequence of three squares, what you say is true.
> >
> > > > > Is there a first square where my observation would fail?
> >
> > > > Since you claim every line is necessarily finite, but the number of
> > > > lines is not, there will be a number of lines greater than the number
> > > > of
> > > > digits in your finite first line.
> >
> > > In an ordered set like the sequence of squares above, we have for
> > > every subset a first element. If you claim to know a square that is
> > > not a square, then there must be a first square that is not a square.
> >
> > If n is the number of digits in the first entry to your list, then you
> > have no more than n such squares as that first entry will be too short
> > for any more.
>
> If there follows an entry with more digits, the preceding entries can
> be extended by zeors without leaving the domain of terminating
> decimals.
Irrelevant. Once WM's list is fixed with each line finite, changing
anything creates a different list, from which point, the same argument
proves that this new list too has a non-square in it, as will each
further extention to a new list.
And each could equally validly each be extended by an infinite sequence
of zeroes, at least outside of Wolkenmuekenheim, in which case WM's
"squares" entirely disappear.
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