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Re: Some results about unit fractions

From Jim Burns <james.g.burns@att.net>
Newsgroups sci.logic
Subject Re: Some results about unit fractions
Date 2023-06-11 17:12 -0400
Organization A noiseless patient Spider
Message-ID <6ef099a1-4e8d-1dee-b593-04ed44e90c21@att.net> (permalink)
References (13 earlier) <d0cc8e33-8f2e-4843-b374-a0adc573a61bn@googlegroups.com> <5cc28893-87ed-6dbd-f422-a1ac9d93d33e@att.net> <fa333cab-ee09-47bd-97d9-09d84b60025dn@googlegroups.com> <89c98357-9090-a989-2eae-2026a9ff7c73@att.net> <33afb0cb-7bc6-4406-b2af-b338b72a8da5n@googlegroups.com>

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On 6/11/2023 4:28 PM, WM wrote:
> Jim Burns schrieb am Sonntag,
> 11. Juni 2023 um 21:11:50 UTC+2:
>> On 6/11/2023 9:47 AM, WM wrote:
>>> Jim Burns schrieb am Samstag,
>>> 10. Juni 2023 um 21:10:03 UTC+2:

>>>> All numbers are lost in end segments.
>>>
>>> How can all be infinite nevertheless?
>>
>> Each end segment is 1×1 1-ended

> Every endsegment can lose elements
> but cannot win elements.

k < k⁺⁺
Each number k is non-final.

Each ⟨j⁺⁺...⟩ loses j
Each k in ⟨j⁺⁺...⟩ is non-final.
Each ⟨j⁺⁺...⟩ is 1×1 1-ended.
|⟨j⁺⁺...⟩| = |⟨1...⟩| = ℵ₀

> As long as
> all terms of the sequence (E(n))
> are infinite,
> they have a common infinite set.

⟨j⁺⁺...⟩ ∌ j
j is not in common.
The "common infinite set"
has nothing in it.
JK
∅ is not infinite.

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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 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 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 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
              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

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