Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]

Groups > sci.math > #425346

Re: The structure of |N

Newsgroups sci.math
Date 2018-10-10 03:51 -0700
References (11 earlier) <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> <fwebm83m5z1.fsf@foxtrot.inf.ed.ac.uk>
Message-ID <369ba7e7-5296-440e-83c8-70decafa64eb@googlegroups.com> (permalink)
Subject Re: The structure of |N
From transfinity01@gmail.com

Show all headers | View raw

Am Dienstag, 9. Oktober 2018 18:40:10 UTC+2 schrieb Alan Smaill:
> transfinity01@gmail.com writes:


> > 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.

That is also shown for the Binary Tree.
> 
> This restriction is true everywhere. There is
> no change in the infinite possible.
> 
> Therefore there are no potentially infinite collections.

Potentially infinite means "always finite but without upper bound". However my argument shows that set theory is wrong because the basic structure is applied also in set theory and it shows that no line can split off from another line without creating a node - wherever the tree is checked.

Regards, WM

Back to sci.math | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread

Thread

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

csiph-web