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Re: Some results about unit fractions

From Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups sci.logic
Subject Re: Some results about unit fractions
Date 2023-07-02 02:13 +0100
Organization A noiseless patient Spider
Message-ID <87ttun15g6.fsf@bsb.me.uk> (permalink)
References (16 earlier) <cab30405-2b70-4052-84da-6aa07f094bdcn@googlegroups.com> <878rc33y4n.fsf@bsb.me.uk> <5bf3786a-17a4-403b-94f8-de8343ecd263n@googlegroups.com> <87mt0h2bpu.fsf@bsb.me.uk> <e4e49f8a-1973-4037-be68-ed3a4777883dn@googlegroups.com>

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WM <askasker48@gmail.com> writes:
(AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des 
Unendlichen" at Hochschule Augsburg.)

> Ben Bacarisse schrieb am Freitag, 30. Juni 2023 um 17:48:02 UTC+2:
>> WM <askas...@gmail.com> writes: 
>> > Ben Bacarisse schrieb am Donnerstag, 29. Juni 2023 um 02:34:04 UTC+2: 
>> >> WM <askas...@gmail.com> writes: 
>> > 
>> >> > I did it. E(1), E(2), ..., { }. Have you overlooked it? 
>> >> No, that is not "an inclusion-monotonic sequence (M_n): M(n) ⊇ M(n+1) 
>> >> which have no element in common". 
>> > 
>> > It is inclusion-monotonic with no doubt. 
>> > The terms have no element in common.
>>
>> But it's not a sequence (M_n). Such things are functions from N. See 
>> any introductory textbook like, oh, I don't know... your own!
>
> Such a sequence is potentially infinite...

<cut other errors -- don't try to divert the discussion away from your
mistake above>

>> So what n in N has M_n = {}? None.
>
> It is the limit, after all dark terms.

You are going round in circles.  {} is not in the sequence.  You just
made a mistake and can't admit it.

>> It's not a sequence (M_n). Are you 
>> this dishonest when your students see you've made a mistake? 
>
> Try to understand the difference between the potentially infinite
> classical mathematics and actual infinity.

Try to understand that if {} is an element of a sequence (M_n) there is
an n (in N) such that M_n = {}.

-- 
Ben.

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Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-20 01:34 +0100
  Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-20 08:34 -0700
    Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:09 -0700
      Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:18 -0700
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-21 07:17 -0700
        Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-21 16:52 +0200
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-22 05:48 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-22 13:20 -0700
    Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-22 00:51 +0100
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-22 05:58 -0700
        Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-23 01:05 +0100
          Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-22 17:17 -0700
            Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-23 02:26 +0100
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 09:01 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 01:59 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-06-26 04:42 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 14:42 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-06-26 15:22 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-27 01:14 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 08:12 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 07:59 -0700
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 08:53 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-23 09:52 -0700
            Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 02:05 +0100
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 08:05 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-29 01:34 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:31 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-29 16:37 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:18 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:21 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:52 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-29 19:15 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-30 14:27 +0100
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:03 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:09 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:15 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:21 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:26 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 02:05 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 09:04 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:56 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-30 16:47 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:15 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:20 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 02:13 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:59 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:34 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:55 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-07-02 19:10 +0200
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:01 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:27 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 14:14 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 11:49 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 20:30 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-01 10:26 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 16:18 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 17:37 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 12:55 -0400
                Re: Some results about unit fractions Transfinity <transfinity01@gmail.com> - 2023-07-01 10:32 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 15:42 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:17 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 13:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 16:24 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:28 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 17:30 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 18:49 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 17:07 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-02 06:20 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 04:04 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:39 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:33 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:27 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 01:50 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:50 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:19 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 12:58 -0400
                Re: Some results about unit fractions Transfinity <transfinity01@gmail.com> - 2023-07-01 11:16 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 15:16 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:14 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-02 18:44 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-03 06:31 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-03 11:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-04 11:46 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-04 19:12 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-04 16:25 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-04 22:14 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-05 18:13 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-06 12:45 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-03 09:50 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-04 11:51 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-04 13:35 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-03 10:07 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-04 11:53 -0700

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