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Topic: Matheology � 258
Replies: 53   Last Post: May 11, 2013 10:07 PM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 258
Posted: May 8, 2013 3:45 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 8 Mai, 04:16, gus gassmann <g...@nospam.com> wrote:
>

> >
> > U {i=1,...,k} FISON(n_i) = FISON(m) where m = max{n_1, n_2, ..., n_k}
> >
> > But this identity breaks down when the index set does not have a maximal
> > element.

>
> Or if the devil really exists.

So that WM is claiming that for any set ofd naturals there must be a
maximal member?

If so then in Wolkenmuekenheim induction is impossible because induction
requires that whenever P(n) is true, then P(n+1) be true, which cannot
occur unless for every n there is an n+1.

> Learn: For every natural number n, the index set has a largest
> element.

For every natural number in a world where induction is possible there is
a successor natural larger that the original.

> And something that is not in one FISON, will not be there after the
> union of all FISONs.

While every natural is in some FISON, there is no FISON such that all
naturals are in that FISON.

And there is no finite set of FISONs such that every natural is in its
union because the union of an finite set of FISONs is a FISON.

To include every natural in the union of a set of of FISONs requires an
infinite set of FISONs. In fact, any infinite set of FISONs.

> Everything else is matheology,

Certainly everything Wolkenmuekenheim is WMytheological, not
mthematical, and only outside of Wolkenmuekenheim can any serious
mathematics take place.
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