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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-05-28 07:00 -0700
References (14 earlier) <06597134-b553-677a-c93e-7cae4792b8e7@att.net> <af5fb3fc-2265-48a4-b04a-0a3ca1bb0df4n@googlegroups.com> <63566f9e-f222-38eb-4c77-ce5b6e18c598@att.net> <38e51120-0548-466c-9d80-92379a2a0ffen@googlegroups.com> <9e7d86c7-2500-4e7c-e791-0039088231d1@att.net>
Message-ID <c97a1b9a-0dcc-4eb9-94a1-e4f609606da3n@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From WM <askasker48@gmail.com>

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Jim Burns schrieb am Sonntag, 28. Mai 2023 um 11:37:25 UTC+2:
> On 5/27/2023 4:44 PM, WM wrote: 
> > Jim Burns schrieb am Freitag, 
> > 26. Mai 2023 um 22:27:12 UTC+2: 
> >> On 5/26/2023 3:47 PM, WM wrote: 
> 
> >>> Correct would be to say: 
> >>> For all x ∈ (0, 1] which are larger than 
> >>> at least ℵo unit fractions and 
> >>> the gaps between them, NUF(x) = ℵo. 
> >> 
> >> Okay. 
> >> Say that. 
> >> That's all x ∈ (0,1] 
> > 
> > Not for x which belong to
> > _the_ ℵo unit fractions themselves.
> Emphasis added to "the".
> There is no single "the" ℵ₀ unit fractions. 

If there are ℵ₀ unit fractions below every positive x, then there is a core of ℵ₀ unit fractions below all positive x. This is necessarily so because the positive x are ended at or before zero.
 
> *ALL 1×1 1-IN-ENDED ARE THE SAME SIZE* 

Size in this respect is nonsense because it requires the loss of Bob which is nonsense.

Regards, WM

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Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-17 08:17 -0400
  Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-17 05:53 -0700
    Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-17 14:48 -0400
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-18 12:20 -0700
        Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 12:52 -0700
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 05:43 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 08:56 -0700
        Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-18 17:02 -0400
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 05:40 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 08:51 -0700
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 09:54 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 10:42 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 11:26 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 12:09 -0700
            Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-19 13:47 -0400
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 11:36 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 12:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 12:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 12:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 13:16 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-20 09:36 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:39 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:43 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-19 20:36 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-20 09:20 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:38 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:42 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-20 23:40 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-21 01:56 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-21 02:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-20 17:55 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 06:51 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 07:02 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 10:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 10:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 11:01 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 11:56 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 12:30 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 13:27 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-23 10:56 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-23 11:13 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-24 07:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-23 14:45 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-24 07:33 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-24 17:46 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 05:56 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-26 02:11 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 04:44 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-27 01:39 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-05-26 23:51 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 10:19 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-27 10:58 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 13:22 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-30 02:24 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-30 06:52 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-01 01:28 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-01 07:24 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-01 17:53 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-01 11:56 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-01 13:03 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 06:41 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-26 02:00 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 04:44 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-27 01:47 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 10:14 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-27 10:59 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 13:26 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-30 02:48 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-30 07:38 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-30 09:07 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-01 00:20 +0100
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-24 13:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 06:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-25 13:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 13:18 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-25 17:54 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 04:50 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-05-26 13:58 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 06:05 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 12:10 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 10:57 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-26 12:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:56 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 15:52 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:58 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-28 05:11 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-28 07:04 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-28 18:47 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-29 11:15 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 14:36 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:47 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 16:25 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 13:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-28 05:37 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-28 07:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-29 16:08 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-30 06:45 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-30 09:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-31 07:41 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-30 18:18 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-31 07:45 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-31 15:00 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-01 12:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-01 16:13 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-02 05:40 -0700
                Re: Some results about unit fractions Jeff Barnett <jbb@notatt.com> - 2023-06-02 14:05 -0600
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 07:01 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-03 09:56 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 11:03 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-03 17:33 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-03 16:29 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-03 20:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:32 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 10:51 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 11:07 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:08 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 10:18 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:46 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 11:09 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 11:32 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 11:47 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 11:58 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 12:16 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-04 11:12 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 11:35 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-04 13:36 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-05 07:01 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-05 07:44 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 07:47 -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 Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-05 09:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 07:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 08:05 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:20 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-06 10:04 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:21 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:02 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-03 05:10 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 07:01 -0700
                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 Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-03 08:09 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 11:00 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-03 07:47 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 10:57 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 15:31 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:51 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 17:45 -0400
        Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-18 17:57 -0400
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 05:29 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 08:43 -0700

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