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Topic: Matheology § 191
Replies: 91   Last Post: Jan 18, 2013 2:44 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: WMatheology � 191
Posted: Jan 15, 2013 1:54 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 15 Jan., 08:23, Virgil <vir...@ligriv.com> wrote:
>

> > > But here is the list: All finite initial segments of all decimal
> > > expansions are included.

> >
> > That is not a list.

>
> The set is countable. There exists a bijection with |N. So list-
> fetishists should be able to set up a list of that set.

Your set is not a list until that bijection, or at least a surjection,
from |N to your set has been explicitly established, at which point an
antidiagonal which is not listed can be shown to exist.
>
> > And for paths in a Complete Infinite Binary Tree,
> > decimal expansions are totally irrelevant and contra indicated.

>
> A Binary Tree contains binary expansions. But in the list usually
> decimal expansions are used.

Not in binary trees. One can represent paths in a binary tree by
infinite binary sequences, but a bijection between the set of all binary
paths and the set of all decimal sequences is considerably more
complicated
>
> Regards, WM
>
> Regards, WM

--

Date Subject Author
1/12/13 mueckenh@rz.fh-augsburg.de
1/12/13 Zaljohar@gmail.com
1/12/13 mueckenh@rz.fh-augsburg.de
1/12/13 Virgil
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1/12/13 Zaljohar@gmail.com
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1/12/13 Virgil
1/13/13 Zaljohar@gmail.com
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1/14/13 Virgil
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1/15/13 Virgil
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1/17/13 Virgil
1/18/13 Virgil
1/17/13 Jesse F. Hughes
1/17/13 mueckenh@rz.fh-augsburg.de
1/17/13 Jesse F. Hughes
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1/17/13 Jesse F. Hughes
1/17/13 Virgil
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1/17/13 Virgil
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1/12/13 David C. Ullrich
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1/12/13 Virgil
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1/14/13 Virgil
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1/13/13 Virgil