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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 26, 2013 4:21 PM

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.
>
> > (F(n) U F(n-1) U ... U F(1)) = F(n) so Rest(n) = "|N\Fison(n)"!
>
> Of course. That does not invalidate my equation.
>

> > Thus if the limit of your "Rest(n)" is {} then the sequence of FISON(n)
> > must also have a limit and that limit must be all of |N

>
> Of course. Therefore the limit is not existing.

How does a limit exiting prove that limit not to be existing?

> The sequence 0,0,0,... has
> not limit oo. Not in mathematics.

Only in WM's wild weird world of WMytheology!
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