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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 26, 2013 10:18 AM

On Monday, 24 June 2013 20:25:15 UTC+2, Zeit Geist 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.

No objection?

> > Therefore 1/|Rest(n)| is a number, namely 0. At least less than 1.

No objection?

> > 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

Please show two of them which are not in one and the same FISON.

> > 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.

Well, if all natural numbers exist and can be collected, then we have a sequence 0,0,0,... with "limit" oo. But that's not mathematics.

Regards, WM