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Re: Matheology § 198
Posted:
Jan 25, 2013 3:24 AM
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On Jan 25, 9:02 am, WM <mueck...@rz.fh-augsburg.de> wrote: > On 25 Jan., 01:27, William Hughes <wpihug...@gmail.com> wrote: > > > Outside of Wolkenmukenheim it is clear that an infinite set can be the > > union > > of finite sets.- > > But in mathematics it is clear that a strictly increasing sequence > does not contain its limit. Each one of infinitely many terms fails to > reach the limit. And this case is given by the sequence of finite > initial segments of natural numbers.
From which it follows that the collection of all natural numbers (which contains only finite natural numbers) is not a finite initial segment of natural numbers.
So N is not a FISON.
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