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	2023-06-23 15:39 -0400
Organization	A noiseless patient Spider
Message-ID	<364a6a02-ecd1-5dbc-3bd3-e4564453d69d@att.net> (permalink)
References	(13 earlier) <6115c3b7-20f0-49f2-a676-03adb4b8eb5cn@googlegroups.com> <456c8e66-730b-ce76-fe7a-1927dbf6fa85@att.net> <173f0674-3927-4d71-8392-db499056a751n@googlegroups.com> <935029c9-dd60-d452-e73b-c9bda9a95516@att.net> <90f5d0bc-5c3a-416a-8ca0-860a05f719e0n@googlegroups.com>

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On 6/23/2023 12:53 PM, WM wrote:
> Jim Burns schrieb am Freitag,
> 23. Juni 2023 um 18:37:11 UTC+2:
>> On 6/23/2023 11:44 AM, WM wrote:

>>> An element in common with
>>> each *infinite* successor exists.
>>
>> No.
> 
> Show one *infinite* successor that has
> none.

Any infinite successor has none.
For example,
infinite ⟨6.02214076×10²³…⟩ has none.

6.02214076×10²³ is not in common
with infinite ⟨6.02214076×10²³+1…⟩

6.02214076×10²³+1 is not in common
with infinite ⟨6.02214076×10²³+2…⟩

6.02214076×10²³+2 is not in common
with infinite ⟨6.02214076×10²³+3…⟩

6.02214076×10²³+3 is not in common
with infinite ⟨6.02214076×10²³+4…⟩

...

∀j ∈ ⟨6.02214076×10²³…⟩
j is not in common with infinite ⟨j+1…⟩

> Note:
> It is meaningless only to shout "infinite"

Then I will post the arguments behind
my shouting.

Oh, wait!
I've already done that.
And you snipped them  and then
complained that I hadn't posted them.

Your behavior has no effect at all
on the correctness of my answers to
your questions.

----
if  ⟨0…j⟩ is ⁺⁺ing 1×1 2-ended
then  ⟨0…j,j⁺⁺⟩ is  ⁺⁺ing 1×1 2-ended

Each ⟨0…j⟩ ∈ ⟨⟨0…k⟩⟩  is non-final.

Each j ∈ ⋃⟨⟨0…k⟩⟩  is non-final.

ℕ := ⋃⟨⟨0…k⟩⟩ is ⟨1-ended⟩

for each j ∈ ℕ := ⋃⟨⟨0…k⟩⟩
⟨0…j⟩∥⟨j⁺⁺…⟩ is ⟨2-ended⟩∥⟨1-ended⟩

> without being able to show such endsegment.

⟨6.02214076×10²³…⟩

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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 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
          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

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