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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 2018-10-13 20:09 +0100
Message-ID <fweftx9mzoe.fsf@foxtrot.inf.ed.ac.uk> (permalink)
References (13 earlier) <d488ab59-a1ca-4f83-9d1b-6e38be1c8dac@googlegroups.com> <bb5df4a3-ef65-41e0-abb5-7c4aed17d806@googlegroups.com> <eed96c9a-e99a-4ab3-8bb6-de1ea264d386@googlegroups.com> <fweo9bztiy5.fsf@foxtrot.inf.ed.ac.uk> <d83770ae-fd44-4fa6-a40f-9ab03b6df2e5@googlegroups.com>

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transfinity01@gmail.com writes:

> Am Freitag, 12. Oktober 2018 15:05:10 UTC+2 schrieb Alan Smaill:
>> transfinity01@gmail.com writes:
>> 
>> > Am Donnerstag, 11. Oktober 2018 11:58:06 UTC+2 schrieb Zelos Malum:
>> >
>> >> >If only two lines arise, then we have as many lines as split
>> >> > points. If you cannot understand so simple mathematics
>> >> 
>> >> The one not understanding is you, you assume that the amount from
>> >> finite cases has any effect on infinite, it does not.
>> >
>> > Why then should this happen in the diagonal argument?
>> 
>> For the same reason that it is possible to show that
>> the square root ot 2 is not rational -- a proof that you accept,
>
> Because it is based on mathematics. If Zelos Malum was right, the
> proof would not hold "in the limit".

But why exactly is there a difference here?
Forget what Zelos Malum says, explain why *you* treat the two cases
differently.
(Simply saying that one is mathematics, and the other is not,
does not provide an explanation.)

>> despite knowing that however many pairs of naturals (n,m) you examine,
>> there are *always* infinitely many pairs that have not been examined
>
> and that could supply a fraction sqrt2. In fact everybody accepting an
> infinite decimalfraction for sqrt2 assumed this.

"Everybody accepts" is not a reason for WM to accept.

In one case you say that the presence of infinitely many unexamined
cases blocks a proof, in the other you ignore the problem.
Logic requires you to explain this divergence.

Double standards!!

> 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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