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

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: WMytheology § 293
Posted: Jun 24, 2013 4:54 AM

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

Regards, WM