Date: Dec 4, 2012 7:52 AM
Subject: Re: Matheology § 170
On 4 Dez., 10:04, Virgil <vir...@ligriv.com> wrote:
> In article
> WM <mueck...@rz.fh-augsburg.de> wrote:
> > Matheology 170
> > The infinite triangle formed by the sequence
> > 0.1
> > 0.11
> > 0.111
> > ...
> > has height aleph_0 but width less than aleph_0 (because the limit 1/9,
> > the first line with aleph_0 digits, does not belong to the triangle).
> > This lack of symmetry is disturbing for a physicist.
> In order to be a mathematically valid triangle, your figure would have
> to have a last line, which means that you must be claiming that there is
> a largest natural number corresponding to that last line, which is not
> only disturbing to real physicists but also to real mathematicians.
Your objection is tantamount to requiring: In order be a
mathematically valid set, the natural numbers would have to have a
Like every finite initial segment of naturals has a last number every
triangle of the sequences has three limiting lines.