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Topic: Matheology § 293
Replies: 44   Last Post: Jun 27, 2013 2:25 PM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 293
Posted: Jun 27, 2013 2:25 PM

mueckenh@rz.fh-augsburg.de wrote:

> On Wednesday, 26 June 2013 22:21:35 UTC+2, Virgil wrote:
> >> mueckenh@rz.fh-augsburg.de wrote: > Rest(n) = |N \ (F(n) U F(n-1) U ... U
> >> F(1)) has the limit { } with > cardinality 0.

>
> > As a sequence of sets, quite true, since for every n in |N, n is NOT in
> > rest(n).

>
> > But note that f(n) = Card (Rest(n)), being a constant sequence of value
> > aleph_0, does not have limit 0.

>
> > How does a limit exiting prove that limit not to be existing?
>
> Because the limit existing in set theory, "as a sequence of sets",
> contradicts the limit existing in mathematics.

Set theory is a standard part of standard mathematics.

It is only such slimy backwaters as WM's matheology that still reject it.
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