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	2023-07-01 15:42 -0400
Organization	A noiseless patient Spider
Message-ID	<2ee74eac-1f9c-bc5b-9754-2fe85b36c9f2@att.net> (permalink)
References	(16 earlier) <2e770bb4-eff9-4339-9b41-f31971887203n@googlegroups.com> <86da3652-697e-ed01-b1b5-8d302884173f@att.net> <db42a6a8-9ffb-4a82-8d06-ef4211bd5487n@googlegroups.com> <6a2b99d3-657e-b139-6fb5-a19ae25d40f0@att.net> <884ec62a-36e8-433a-87ba-5771b5981bb3n@googlegroups.com>

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On 7/1/2023 1:32 PM, Transfinity wrote:
> Jim Burns schrieb am Samstag,
> 1. Juli 2023 um 18:55:15 UTC+2:

>> If one did that,
>> one would learn that, sometimes,
>> Bob disappears.
>
> Then one should not do that.
> In an exchange which is
> defined as lossless at the outset,
> there is no loss admissible.

For each ⟨0…j⟩
1×1 2-ended ⁺⁺ing from 0
⟨0…j,j⁺⁺⟩ exists, also
1×1 2-ended ⁺⁺ing from 0

⟨0…j⟩ ⊆ ⟨0…j,j⁺⁺⟩
⟨0…j⟩ is non-final.

Swap all ⟨0…j⟩ with ⟨0…j,j⁺⁺⟩
⟨0⟩ disappears.

Definitions do not work
the way that you (WM) are using them.

You can define a right triangle
to NOT have the square of its longest edge
equal to the sum of the squares of
the two remaining edges.

You _can_
I mean, no can stop you from doing that.
However,
if you do it, you will be wrong.
"Defining" it so won't make it so.

An individual swap is lossless.
Some 1-ended sequences of (lossless) swaps
are not lossless.
"Defining" it so won't make it so.

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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 WM <askasker48@gmail.com> - 2023-06-30 10:18 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:21 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:52 -0400
                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 Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:03 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:09 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:15 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:21 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:26 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 02:05 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 09:04 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:56 -0700
                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 WM <askasker48@gmail.com> - 2023-06-30 10:15 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:20 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 02:13 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:59 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:34 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:55 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-07-02 19:10 +0200
                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 WM <askasker48@gmail.com> - 2023-06-30 10:27 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 14:14 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 11:49 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 20:30 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-01 10:26 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 16:18 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 17:37 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 12:55 -0400
                Re: Some results about unit fractions Transfinity <transfinity01@gmail.com> - 2023-07-01 10:32 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 15:42 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:17 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 13:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 16:24 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:28 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 17:30 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 18:49 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 17:07 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-02 06:20 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 04:04 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:39 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:33 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:27 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 01:50 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:50 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:19 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 12:58 -0400
                Re: Some results about unit fractions Transfinity <transfinity01@gmail.com> - 2023-07-01 11:16 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 15:16 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:14 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-02 18:44 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-03 06:31 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-03 11:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-04 11:46 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-04 19:12 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-04 16:25 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-04 22:14 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-05 18:13 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-06 12:45 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-03 09:50 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-04 11:51 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-04 13:35 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-03 10:07 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-04 11:53 -0700

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