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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-06-30 11:44 -0700
References (14 earlier) <e5492ddb-5d03-87ce-441f-4bd6f556cd01@att.net> <9e7bed9e-a483-41d5-aee1-0d9f11d0ec1fn@googlegroups.com> <60de1d76-42ed-5727-fe15-040040e879b7@att.net> <a62aa623-247a-4192-9b38-aeffb94735e2n@googlegroups.com> <5b9da8f4-563d-e868-e4ce-73bae5d7c564@att.net>
Message-ID <be441e4b-6405-4d42-a3f0-30c062f98b97n@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From WM <askasker48@gmail.com>

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Jim Burns schrieb am Freitag, 30. Juni 2023 um 19:38:50 UTC+2:
> On 6/30/2023 12:58 PM, WM wrote: 
> > Jim Burns schrieb am Donnerstag, 
> > 29. Juni 2023 um 17:24:37 UTC+2: 
> 
> >> An empty intersection of 
> >> an inclusion-monotonic sequence 
> >> which is 1-ended 
> >> implies only non-empty terms. 
> > 
> > If no natnumber is in the intersection, 
> > then there is an empty endsegment. 
> > Because there is only loss and never gain.
> How much of this do you agree to? 
> 
> The intersection of 
> a set of sets 
> is subset to each set in 
> that set of sets. 

Yes.
> 
> The intersection of 
> an inclusion-monotonic sequence 
> is subset to each set in 
> that sequence. 

Yes.
> 
> Each non-final set in 
> an inclusion-monotonic sequence 
> is NOT subset to each set in 
> that sequence. 

Yes. Note however that dark endsegments have no discernible order but end at the empty set.
> 
> Each non-final set in 
> an inclusion-monotonic sequence
> is NOT the intersection of
> that sequence. 

Yes. Note however that a final dark endsegment cannot be seen.
> 
> Each set in 
> a 1-ended inclusion-monotonic sequence 
> is a non-final set. 

Yes, every set that could be recognized as the last set is not the last set.
> 
> Each set in 
> a 1-ended inclusion-monotonic sequence
> is NOT the intersection of
> that sequence. 
> 
> Each set in
> a 1-ended inclusion-monotonic sequence 
> with an empty intersection
> is NOT the (empty) intersection of 
> that sequence.

No. There is no empty intersection possible without an empty set. 

Note: There is no actually (= completed) infinite sequence possible with infinitely many natnumbers following the indices.

The marker in 1, 2, 3, ..., n, |, n+1, n+2, ... cannot separate two actually infinite sets.

Regards, WM

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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 Jim Burns <james.g.burns@att.net> - 2023-06-24 10:22 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-25 07:07 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-25 10:58 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 07:47 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 08:35 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-26 13:23 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-28 07:22 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-28 07:38 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-28 07:57 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-28 07:38 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-28 09:11 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-28 09:23 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:12 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-29 08:05 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-28 12:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:20 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-29 11:24 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 09:58 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:06 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:38 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 11:44 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-07-01 05:04 -0700

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