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

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 Tucsondrew@me.com Posts: 1,161 Registered: 5/24/13
Re: WMytheology § 293
Posted: Jun 24, 2013 2:25 PM

On Monday, June 24, 2013 1:54:28 AM UTC-7, muec...@rz.fh-augsburg.de wrote:
> On Sunday, 23 June 2013 23:05:45 UTC+2, Virgil wrote:
>
>
>

> > > If you are ready to swallow that the sequence (1/|Rest(n)|) = 0, 0, 0, ... "converges" to limit oo,
>
>
>

> > 1/|Rest(n)| is NAN (Not A Number).
>
>
>
> aleph_0 is a number in matheology, namely greater than n for every n.
>
>
>
> Therefore 1/|Rest(n)| is a number, namely 0. At least less than 1.
>
>
>
> If all natural numbers are in FISONs, then no natural number is outside of every FISON. Since the FISONs are inclusion-monotonic, the natural numbers cannot be spread over several FISONs.

Yes, they are spread over aleph_0 FISONs

>Therefore
>
> Rest(n) = |N \ (F(n) U F(n-1) U ... U F(1))
>
> has the limit { } with cardinality 0.
>

Sure, once you collect all of the naturals numbers,
you are left with none of the natural numbers.

>
> Regards, WM

ZG