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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-06-16 06:32 -0700
References (14 earlier) <adb974b4-f192-4a39-a9e0-a5314df6f99fn@googlegroups.com> <d3d96577-746b-4b6c-8505-c5d44734bcd6n@googlegroups.com> <87fs6srk2y.fsf@bsb.me.uk> <87dae494-c8d1-477c-8116-c516fe0a68aan@googlegroups.com> <875y7op8fs.fsf@bsb.me.uk>
Message-ID <68c1f04f-7191-4f5c-9875-09f9773799ban@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From WM <askasker48@gmail.com>

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Ben Bacarisse schrieb am Freitag, 16. Juni 2023 um 02:17:15 UTC+2:
> WM <askas...@gmail.com> writes: 
> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des 
> Unendlichen" at Technische Hochschule Augsburg.) 

Please correct this in future.
> 
> > Ben Bacarisse schrieb am Donnerstag, 15. Juni 2023 um 14:22:49 UTC+2: 
> >> WM <askas...@gmail.com> writes: 
> 
> >> > Can you imagine two terms of an inclusion-monotonic sequence (M_n): 
> >> > M(n) ⊇ M(n+1) which have no element in common? 
> >> Yes, M(k) = {} for all k in N. 
> > 
> > Thank you. I had hoped that this example would show up.
> Ha! Very funny. No, it's clear from the context you expected a 
> negative answer.
> > By the way, one empty set would be sufficient.
> Example?

The intersection of endsegments.

> >> > Can you give an example? 
> >> You might not have the right sort of imagination for mathematics. I can 
> >> give you other examples. Can you? 
> > 
> > No. Without empty terms this is impossible.
> Yes. You did not exclude empty terms. 

No. But matheology excludes empty terms and claims an empty intersection,
Of course thit is blatantly wrong.
The intersection loses in every step the same as the sequence of endsegments.
The intersection is the last endsegment. If there is no last endsegment, then there is no (last) intersection.
By simplest logic: If E_n =/= { } for all n e IN, then the intersection of all E_n is not empty.

But for every infinite endsegment the majority of numbers is contents and not indices.

Regards, WM

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Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-04 20:39 -0400
  Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-05 07:12 -0700
    Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-05 07:41 -0700
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 07:46 -0700
        Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 07:55 -0700
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:06 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 13:18 -0700
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 13:33 -0700
        Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-06 13:52 -0400
    Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-05 13:25 -0400
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:04 -0700
    Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-05 15:49 -0400
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:11 -0700
        Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-07 12:25 -0400
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 03:46 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 04:13 -0700
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 05:51 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 07:15 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 09:34 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 16:48 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 16:50 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-09 03:43 -0700
            Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-08 14:48 -0400
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 13:50 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-08 18:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-09 03:48 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-09 12:26 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-09 13:36 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-09 18:25 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-10 05:05 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-10 15:10 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 06:47 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 10:24 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 11:37 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 11:53 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 13:24 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 15:21 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 15:38 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 11:52 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 11:52 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-12 13:16 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 14:03 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-12 14:45 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-13 07:20 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-13 07:35 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-13 14:02 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-13 14:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-13 20:12 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-12 14:48 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-11 15:11 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 13:28 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-11 17:12 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 11:52 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-13 13:25 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-13 14:07 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-13 20:11 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-14 04:55 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-14 05:58 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-14 11:30 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-14 12:55 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 04:53 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-15 13:22 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 05:40 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-16 01:17 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:32 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-16 16:27 +0200
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-18 02:09 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-18 07:15 -0700
                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 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 Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-15 06:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 09:26 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-15 09:52 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 10:59 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-15 12:40 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:07 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-16 06:22 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:41 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-16 08:54 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-16 12:37 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-17 05:54 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-17 08:46 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-18 06:57 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-17 11:56 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-18 06:59 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-18 14:40 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-19 07:01 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-19 07:34 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-20 08:30 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:30 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-19 13:55 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-20 08:36 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:24 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-20 14:03 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-21 07:22 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-21 12:26 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-22 05:54 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-22 09:38 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 08:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-23 12:37 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 09:53 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-23 15:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-24 05:43 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-16 08:53 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-15 17:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-16 06:18 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:53 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-17 08:10 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-17 17:17 +0200
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-17 08:30 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-17 17:33 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:25 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-14 08:03 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-14 10:58 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-14 18:30 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 04:51 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-09 14:18 -0700

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