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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 2023-06-18 14:40 -0400
Organization A noiseless patient Spider
Message-ID <a7ffa792-df05-f96a-b9b0-05620f0226f5@att.net> (permalink)
References (12 earlier) <f8313e7d-292b-48d5-bb1c-ad6212c42e9dn@googlegroups.com> <a968c1f2-41f5-0e5b-7f37-c3f6179391f2@att.net> <7c5b1af0-08cd-4289-be3f-0bc57e199e30n@googlegroups.com> <7332a9ff-5d3f-bbe8-99f1-a7763c8a4cee@att.net> <4b598837-4840-4932-9944-0b16d264c43bn@googlegroups.com>

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On 6/18/2023 9:59 AM, WM wrote:
> Jim Burns schrieb am Samstag,
> 17. Juni 2023 um 17:56:19 UTC+2:
>> On 6/17/2023 8:54 AM, WM wrote:

>>> Every infinite endsegment has
>>> an infinite set in common with
>>> every predecessor and
>>> every infinite successor.
>>
>> No.
>
> Counterexample please.

For (counter)example,
ℕ := ⋃⟨⟨0…j⟩⟩ = ⟨0…⟩ does not have
an _infinite_ set {common ℵ₀}
in common with every predecessor
and every infinite successor

for each two end segments ⟨j…⟩ and ⟨k…⟩
infinite set S exists such that
S is common to ⟨j…⟩ and ⟨k…⟩

∀⟨j…⟩, ∀⟨k…⟩:
∃S: |S| = ℵ₀  ∧
⟨j…⟩ ⊇ S ⊆ ⟨k…⟩

infinite set S NOT-exists such that
for each two end segments ⟨j…⟩ and ⟨k…⟩
S is common to ⟨j…⟩ and ⟨k…⟩

¬∃S: |S| = ℵ₀  ∧
∀⟨j…⟩, ∀⟨k…⟩:
⟨j…⟩ ⊇ S ⊆ ⟨k…⟩

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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 Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 01:59 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-06-26 04:42 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 14:42 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-06-26 15:22 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-27 01:14 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 08:12 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 07:59 -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 Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 02:05 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 08:05 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-29 01:34 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:31 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-29 16:37 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-29 19:15 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-30 14:27 +0100
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-30 16:47 +0100
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:01 -0400
                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 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 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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