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Topic: Another AC anomaly?
Replies: 280   Last Post: Dec 27, 2009 3:53 PM

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Quaestor

Posts: 11
Registered: 8/22/09
Re: Another AC anomaly?
Posted: Dec 17, 2009 4:47 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<9dde10e2-2ab6-4714-9dd1-d3ebaea51757@u7g2000yqm.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 17 Dez., 22:07, Quaestor <quaes...@qqq.com> wrote:
> > In article
> > <a737fea3-6dd2-4a1d-9506-2df7cb6d4...@v30g2000yqm.googlegroups.com>,
> >
> >
> >
> >
> >
> >  WM <mueck...@rz.fh-augsburg.de> wrote:

> > > > > It is. I constructed a finite path from the root node to each other
> > > > > node.

> >
> > > > Yup, you constructed a finite path, and that does not represent 1/3.
> >
> > > It 1/3 can be represented by a bit sequence, then it is represented in
> > > my tree by the union of the node sets representing
> > > 0.0, 0.01, 0.010, ...

> >
> > > > > Then I appended an infinite tail.
> >
> > > > Whatever that may be, it is *not* a path according to your explicit
> > > > statement
> > > > that the tree did not contain infinite paths.

> >
> > > You have misread my construction. I use finite paths and then I append
> > > an infinite tail.

> >
> > We have not misread the consequences of your construction.
> >
> > Attaching only one infinite tail , or even a countably infinite number
> > of infinite tails, to each finite subpath does not produce all possible
> > paths.

>
> Please prove your assertion by showing which path I did not produce.
> But prove it by knowing only all nodes of all paths.


Until you give some explicit way of telling which paths you do produce,
ther is no way of telling which ones you miss.

> Information exceeding the infinite sequence of nodes of each path is
> not acceptable in mathematics.


I do not accept your fiats on what is or is not acceptable in
mathematics, having seen you to be so often wrong in such claims.
>
> >
> > Consider the following model for a complete infinite binary tree:
> >
> >    The set of nodes is N = {1,2,3,...}, each such natural being a node.
> >
> >    For each node n in N,
> >       its  left child is defined to be 2*n + 0  in N and
> >       its right child is defined to be 2*n + 1 in N.
> >
> >    A path is, by definition, a set of nodes which contains 1, and,
> >    for each node in it, contains exactly one child of that node.

>
> Which path do you see in the tree that has not that property?


In my tree, none. But in there are sets of nodes satisfying my condition
of pathhood which do not occur in your tree.
> >
> > Until WM can produce some cogent reason why the above definition fails
> > to be a binary tree,

>
> It does not fail. Every node has two child-nodes.


Then WM concedes his errors.


Date Subject Author
11/23/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/1/09
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of Bentley College
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12/2/09
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of Bentley College
Marshall
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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11/26/09
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11/28/09
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William Hughes
11/26/09
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mueckenh@rz.fh-augsburg.de
11/28/09
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11/28/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/29/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/29/09
Read Re: Another AC anomaly?
Marshall
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/26/09
Read Re: Another AC anomaly?
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11/26/09
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11/26/09
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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mueckenh@rz.fh-augsburg.de
11/30/09
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11/30/09
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Read Re: Another AC anomaly?
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12/1/09
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12/22/09
Read Re: Another AC anomaly?
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12/22/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/21/09
Read Re: Another AC anomaly?
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12/21/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/21/09
Read Re: Another AC anomaly?
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12/27/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/16/09
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12/16/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/11/09
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12/11/09
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12/11/09
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12/7/09
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12/8/09
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12/16/09
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12/16/09
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12/17/09
Read Re: Another AC anomaly?
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12/17/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/7/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/13/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/4/09
Read Re: Another AC anomaly?
Virgil
12/5/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/5/09
Read Re: Another AC anomaly?
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12/5/09
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mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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12/5/09
Read Re: Another AC anomaly?
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12/2/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
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12/1/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
11/30/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil

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