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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-06-28 07:38 -0700
References (15 earlier) <f2a080d1-041f-4e48-97f1-36fda8b8b7f0n@googlegroups.com> <08a0d32f-fd24-7ea5-c786-42b70dae2149@att.net> <12682261-1178-4a93-9d74-7601bfd9b5f5n@googlegroups.com> <0e827a01-c898-0733-4ed8-812ad420b077@att.net> <3eec5c46-5011-41d2-8953-2680fa2955b5n@googlegroups.com>
Message-ID <40ce0beb-4c65-4fab-90f6-886787b6ca44n@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From Fritz Feldhase <franz.fritschee.ff@gmail.com>

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On Wednesday, June 28, 2023 at 4:22:50 PM UTC+2, WM wrote:

> The intersection is [...] empty if[f] there are no common elements. 

Wow! ChatGPT mentioned that too!

> An empty intersection of [the terms of] an inclusion-monotonic sequence implies an empty term.

Nope.

Counterexample: (E_n)_(n e IN) with E_n = {n, n+1, n+2, ...} (for all n e IN) is an inclusion-monotonic sequence. INTERSECTION_(n e IN) E_n = { }, but for no n e IN: E(n) = { } (since for all n e IN: n e E(n)).

Wie dumm kann man eigentlich sein, Mückenheim?

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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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