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Topic: Matheology § 198
Replies: 40   Last Post: Jan 26, 2013 6:54 PM

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William Hughes

Posts: 1,763
Registered: 12/7/10
Re: Matheology § 198
Posted: Jan 24, 2013 7:27 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jan 24, 8:52 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> The following is copied from Mathematics StackExchange and
> MathOverflow. Small wonder that the sources have been deleted already.
>
> How can we distinguish between that infinite Binary Tree that contains
> only all finite initial segments of the infinite paths and that
> complete infinite Binary Tree that in addition also contains all
> infinite paths?
>
> Let k  denote the L_k th level of the Binary Tree.  The set of all
> nodes of the Binary Tree defined by the union of all finite initial
> segments (L_1, L_2, ..., L_k) of the sequence of levels U{0 ... oo}
> (L_1, L_2, ..., L_k) contains (as subsets) all finite initial segments
> of all infinite paths. Does it contain (as subsets) the infinite paths
> too?
>
> How could both Binary Trees be distinguished by levels or by nodes?



They cannot of course. Both have exactly the same levels and the same
nodes.

They can of course be distinguished.

In one case you do not include infinite subsets.
In the other you do.

Outside of Wolkenmukenheim it is clear that an infinite set can be the
union
of finite sets.


Date Subject Author
1/24/13
Read Matheology § 198
mueckenh@rz.fh-augsburg.de
1/24/13
Read Re: Matheology � 198
Virgil
1/24/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/24/13
Read Re: Matheology � 198
Virgil
1/24/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/24/13
Read Re: Matheology � 198
Scott Berg
1/24/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology � 198
Virgil
1/24/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology � 198
Virgil
1/26/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology � 198
Virgil
1/26/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/26/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology § 198
William Hughes
1/25/13
Read Re: Matheology § 198
mueckenh@rz.fh-augsburg.de
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology � 198
Virgil
1/25/13
Read Re: Matheology � 198
Virgil

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