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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-06-03 10:57 -0700
References (16 earlier) <b163e328-0c39-8536-1509-1ef109bb555f@att.net> <8220f286-b14e-4d59-b7eb-aecacb4173e8n@googlegroups.com> <9817ff56-f9c5-bcf0-a293-7071798eba0d@att.net> <d559cc76-593b-4c84-a4ca-e83c2acc2e1en@googlegroups.com> <7f67e6ad-4f47-448e-83c2-086f6a753f1cn@googlegroups.com>
Message-ID <2e5dfd50-6849-4e38-bf9a-ed3cbe67ba52n@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From WM <askasker48@gmail.com>

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Fritz Feldhase schrieb am Samstag, 3. Juni 2023 um 16:48:02 UTC+2:
> On Thursday, June 1, 2023 at 9:00:34 PM UTC+2, WM wrote: 
> 
> > *Explain* how a first unit fraction [...] can be avoided when ∀n ∈ ℕ: 1/n - 1/(n+1) = 1/(n(n+1)) is really universally valid. 
> 
> Huh?! ∀n ∈ ℕ: 1/n - 1/(n+1) = 1/(n(n+1)) ***implies*** that there is no first/smallest unit fraction,

It implies also that all unit fractions lie on the real axis with finite gaps between each other. Do you understand this?

Regards, WM

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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 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 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 Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-09 14:18 -0700
                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

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