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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-06-25 07:07 -0700
References (14 earlier) <935029c9-dd60-d452-e73b-c9bda9a95516@att.net> <90f5d0bc-5c3a-416a-8ca0-860a05f719e0n@googlegroups.com> <364a6a02-ecd1-5dbc-3bd3-e4564453d69d@att.net> <33b8c197-a026-4076-bb5d-d2dc3126fd0bn@googlegroups.com> <1b79c668-4caf-5149-02f0-095368f87ba1@att.net>
Message-ID <f2a080d1-041f-4e48-97f1-36fda8b8b7f0n@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From WM <askasker48@gmail.com>

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Jim Burns schrieb am Samstag, 24. Juni 2023 um 16:22:12 UTC+2:
> On 6/24/2023 8:43 AM, WM wrote: 

> > Show one *infinite* successor that has 
> > no element in common with some predecessor.
> That is not your claim. 

No, it would be sufficient to show one *infinite* successor that has at least one element not in common with at least one predecessor.

> This is your claim.
> | Every infinite endsegment has 
> | an infinite set in common with 
> | every predecessor and 
> | every infinite successor.

Of course.

> ⟨6.02214076×10²³…⟩ does not have
> an infinite set in common with 
> every predecessor and 
> every infinite successor.

It is not an endsegment. ⟨6.02214076×10²³, 6.02214076×10²³ + 1, …⟩ is an endsegment and obeys my claim.


> The argument is how we know that 
> ⟨6.02214076×10²³…⟩ is a counter-example 
> to your claim.

It is not an endsegment and hence not a counter-example.

> Each element is not common to 
> all infinite end segments. 

What is the infinite contents?

No unjustified "therefore" please, but an example. That is an infinite endsegment that has at least one element not in common with at least one predecessor,

Regards, WM

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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

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