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Re: The structure of |N

From Alan Smaill <smaill@SPAMinf.ed.ac.uk>
Newsgroups sci.math
Subject Re: The structure of |N
Date 2018-10-09 17:37 +0100
Message-ID <fwebm83m5z1.fsf@foxtrot.inf.ed.ac.uk> (permalink)
References (10 earlier) <ddc5e067-48ea-4ad2-ae14-e05ef4b0d31c@googlegroups.com> <b15bc3d0-ee06-477a-a49b-0c05efad50fc@googlegroups.com> <6fdaf370-ba7a-4903-ab05-ca1554a25831@googlegroups.com> <d0619d05-4c9f-4445-939f-4b15fdaba36f@googlegroups.com> <d52ad9b1-00c7-4479-8868-0e4249b0f12e@googlegroups.com>

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transfinity01@gmail.com writes:

> Am Dienstag, 9. Oktober 2018 14:20:27 UTC+2 schrieb Zelos Malum:
>
>> > Think over that! There is nothing restricted to finite levels. ALL
>> of the Binary Tree is covered. Parts without that basic structure
>> simply are not existing.
>> 
>> I have thoguht it over and none of that even matters, when you ahve
>> infinitely many levels, things can become quite different than what
>> you expect.
>
> The basic structure
>
>  |
>  o
> / \
>
> extends into the infinite. It shows that the number of nodes +1 is an
> upper bound for the number of lines. This restriction is true
> everywhere. There is no change in the infinite possible.

Similarly, the basic structure

  |
  o
  |

shows that at each level the number of nodes encountered is finite,
and so the nodes up to each level form a complete finite set.

This restriction is true everywhere. There is
no change in the infinite possible.

Therefore there are no potentially infinite collections.

>
> Regards, WM
>

-- 
Alan Smaill

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The structure of |N transfinity01@gmail.com - 2018-10-02 03:07 -0700
  Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-02 03:39 -0700
    Re: The structure of |N transfinity01@gmail.com - 2018-10-02 03:42 -0700
      Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-02 05:34 -0700
        Re: The structure of |N transfinity01@gmail.com - 2018-10-02 11:34 -0700
          Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-02 11:45 -0700
            Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:07 -0700
              Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:40 -0700
            Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:17 -0700
              Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-03 04:13 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-03 09:11 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-04 02:43 -0700
              Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:42 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:49 -0700
                Re: The structure of |N Python <python@python.invalid> - 2018-10-04 21:37 +0200
              Re: The structure of |N Python <python@python.invalid> - 2018-10-04 21:33 +0200
          Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:38 -0700
    Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-02 11:57 -0700
      Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:39 -0700
  Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-02 13:18 -0700
    Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:08 -0700
      Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-03 19:34 -0700
        Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:45 -0700
          Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-04 13:29 -0700
            Re: The structure of |N transfinity01@gmail.com - 2018-10-05 03:05 -0700
              Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-05 04:19 -0700
                Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-05 04:32 -0700
              Re: The structure of |N bursejan@gmail.com - 2018-10-05 04:22 -0700
                Re: The structure of |N bursejan@gmail.com - 2018-10-05 04:29 -0700
                Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-05 04:36 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-05 13:15 -0700
                Re: The structure of |N bursejan@gmail.com - 2018-10-05 13:47 -0700
                Re: The structure of |N bursejan@gmail.com - 2018-10-05 13:49 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-05 23:37 -0700
                Re: The structure of |N bursejan@gmail.com - 2018-10-06 03:35 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-06 08:17 -0700
                Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-06 09:07 -0700
                Re: The structure of |N WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-10-07 08:15 -0700
              Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-05 06:30 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-05 13:13 -0700
                Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-05 18:53 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-07 23:01 -0700
                Re: The structure of |N WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-10-08 09:14 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-08 22:32 -0700
                Re: The structure of |N WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-10-09 01:38 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-09 05:20 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-09 09:20 -0700
                Re: The structure of |N bursejan@gmail.com - 2018-10-09 09:31 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-10 03:51 -0700
                Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-09 17:37 +0100
                Re: The structure of |N transfinity01@gmail.com - 2018-10-10 03:51 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-10 22:27 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-10 23:16 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-10 23:18 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-11 02:20 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-11 02:57 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-12 03:49 -0700
                Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-12 14:04 +0100
                Re: The structure of |N transfinity01@gmail.com - 2018-10-13 09:11 -0700
                Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-13 20:03 +0100
                Re: The structure of |N transfinity01@gmail.com - 2018-10-14 02:50 -0700
                Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-13 20:09 +0100
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-14 22:49 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-15 02:37 -0700
                Re: The structure of |N bursejan@gmail.com - 2018-10-20 01:59 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-21 22:56 -0700
                Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-10 22:21 -0700
                Re: The structure of |N transfinity01@gmail.com - 2018-10-10 23:16 -0700
          Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-04 22:31 -0700
      Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:41 -0700
        Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:49 -0700
  Re: The structure of |N "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-10-02 19:00 -0500
    Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:09 -0700
      Re: The structure of |N "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-10-03 21:12 -0500
        Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:52 -0700
          Re: The structure of |N bursejan@gmail.com - 2018-10-04 07:58 -0700
          Re: The structure of |N bursejan@gmail.com - 2018-10-04 14:13 -0700
            Re: The structure of |N bursejan@gmail.com - 2018-10-04 14:24 -0700
          Re: The structure of |N "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-10-04 19:00 -0500

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