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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matheology § 190
Replies: 15   Last Post: Jan 14, 2013 3:35 PM

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mueckenh@rz.fh-augsburg.de

Posts: 12,658
Registered: 1/29/05
Re: Matheology § 190
Posted: Jan 12, 2013 4:05 PM
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On 12 Jan., 22:00, Virgil <vir...@ligriv.com> wrote:
> In article
> <c0615860-6190-4c10-9185-78ed2f6a2...@x10g2000yqx.googlegroups.com>,
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:
> > Matheology 190
>
> > The Binary Tree can be constructed by aleph_0 finite paths.
>
> >         0
> >       1, 2
> >   3, 4, 5, 6
> > 7, ...
>
> Finite trees can be built having finitely many finite paths.
> A Complete Infinite Binary Tree cannot be built with only finite paths,
> as none of its paths can be finite.
>
Then the complete infinite set |N cannot be built with only finite
initial segments {1, 2, 3, ..., n} and not with ony finite numbers 1,
2, 3, ...? Like Zuhair you are claiming infinite naturals!

Regards, WM

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