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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Newsgroups | sci.logic |
| Subject | Re: Some results about unit fractions |
| Date | 2023-05-03 19:43 -0400 |
| Organization | A noiseless patient Spider |
| Message-ID | <76a86773-ff17-62e8-c86a-9a6f4e113ac5@att.net> (permalink) |
| References | (13 earlier) <555df335-4a3d-4027-91c0-9a6c5e352969n@googlegroups.com> <e43b4fa4-ad03-537f-54fa-2bc8c67195d5@att.net> <52050303-457a-4e47-b309-3916a006c556n@googlegroups.com> <baf2ceb7-f76a-d34c-960c-b5e1b6d33458@att.net> <9b1e4ed1-9e55-478c-a138-27e41ba9b4e5n@googlegroups.com> |
On 5/3/2023 6:20 AM, WM wrote:
> Jim Burns schrieb am Dienstag,
> 2. Mai 2023 um 20:49:28 UTC+2:
>> On 5/2/2023 12:49 PM, WM wrote:
>>> Jim Burns schrieb am Dienstag,
>>>> those Bob-conservers TOGETHER
>>>
>>> are Bob-conservers together.
>>
>> Each 1x1 2-ended ⟨ 1 ... n ⟩
>> has only lossless exchanges.
>>
>> Each 1x1 2-ended ⟨ 1 ... n ⟩
>> is followed by
>> another 1x1 2-ended ⟨ 1 ... n n⁺⁺ ⟩
>> which has only lossless exchanges.
>>
>> A second end of
>> all 1x1 2-ended ⟨ 1 ... n ⟩'s
>> which have only lossless exchanges.
>> not-exists.
>>
>> A second end of ⟨ 1 ... n ⟩'s not-exists.
>
> Then there is no complete set.
> ω ist
> the first whole number following upon
> all numbers n (Cantor).
The union ⋃ₙ⟨1…n⟩ of ⟨ 1 ... n ⟩'s
such that
each ⟨ 1 ... n ⟩ is
from 1 to some second end,
and,
for each split,
some i,i⁺⁺ is last-before,first-after
is complete[1]
By "complete[1]", I mean
_all_ and _only_
ends of any ⟨ 1 ... n ⟩
such that
from 1 to some second end,
and,
for each split,
some i,i⁺⁺ is last-before,first-after
is in ⋃ₙ⟨1…n⟩
Yes,
ω is not-in ⋃ₙ⟨1…n⟩
However,
ω shouldn't be in ⋃ₙ⟨1…n⟩
because
⟨ 1 ... ω ⟩ not-exists
such that
⟨ 1 ... ω ⟩ is
from 1 to some second end,
and,
for each split,
some i,i⁺⁺ is last-before,first-after
A description can exist of
something which not-exists.
>>> Lossless exchange means
>>> lossless exchange.
>>
>> Some sets have only lossless exchanges.
>
> All X-O-exchanges are lossless
> by definition and by necessity:
Yes,
{m,n} has only lossless exchanges.
Some sets don't have cardinality 2
A more inclusive a stronger claim
can be proved.
If ordered S is 1x1 2-ended,
then S has only lossless exchanges.
Some sets aren't 1x1 2-ended.
> An X-O-exchange means that⟨ 1 ... ω ⟩ not-exists
> an index is transferred⟨ 1 ... ω ⟩ not-exists
> form a position to another position.
> The position where the index has left
> does not disappear. It cannot disappear.
The position does not disappear.
After all exchanges,
an X is at the position.
For each position,
after all exchanges,
an X is at the position.
'Bye, Bob.
> Why should the destination not disappear?
> Why should any position not disappear?
> Why should the indices not disappear?
> Why should mathematics not disappear?
Some sets have only lossless exchanges.
We use them to represent our sheep.
Not everything is sheep.
Some things are better represented
differently than we represent sheep.
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Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-04-23 14:45 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-24 07:25 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-24 07:57 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-04-24 09:37 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-24 11:56 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-24 15:51 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-25 11:26 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-25 17:16 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-26 04:47 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-26 04:50 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-26 17:36 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-27 06:31 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-27 08:11 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-27 12:21 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-27 14:14 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-27 12:36 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-27 17:59 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-28 04:53 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-28 15:11 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-29 03:30 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-29 17:25 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-30 05:46 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-29 23:41 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-30 05:51 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-01 15:05 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 05:14 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-01 15:06 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-01 12:19 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 05:08 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 05:06 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-02 12:22 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 09:49 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-02 14:49 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-03 03:20 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-03 13:38 -0400
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-03 19:43 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-04 05:16 -0700
Re: Some results about unit fractions Jeff Barnett <jbb@notatt.com> - 2023-05-04 09:43 -0600
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-05 05:01 -0700
Re: Some results about unit fractions Jeff Barnett <jbb@notatt.com> - 2023-05-06 00:15 -0600
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 07:21 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-04 15:24 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-05 05:01 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-05 13:01 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 07:22 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-05-06 07:56 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 13:22 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-06 13:02 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 13:18 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-06 23:41 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-07 07:17 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-07 23:50 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 06:06 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:04 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-08 14:59 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 13:59 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-08 21:02 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 05:45 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-09 11:46 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 13:53 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-10 08:47 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-10 06:07 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-10 13:58 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:10 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:13 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:19 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-08 15:32 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 13:13 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 14:02 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 13:57 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 13:54 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 14:24 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 05:49 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-09 12:41 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 14:03 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-09 17:09 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-10 06:05 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-10 09:19 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-10 13:05 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-10 13:21 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-11 04:37 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-11 09:51 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-12 05:31 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-11 14:00 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-12 05:31 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-12 15:37 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-13 06:22 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 14:30 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-13 11:41 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 23:24 -0400
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-05-14 02:20 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-14 14:04 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-14 14:44 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 03:29 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 05:59 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 10:15 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 13:49 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 17:14 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 08:03 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 09:33 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 11:11 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 12:08 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 10:24 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 13:50 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 17:16 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-13 15:44 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-14 14:09 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 19:41 -0400
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 23:41 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-14 14:11 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-14 18:17 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-14 16:16 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-14 20:48 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 03:28 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-15 10:08 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 13:46 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-15 18:59 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 07:31 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 09:32 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 11:08 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 12:01 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-17 05:44 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-17 08:17 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-17 05:53 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-17 14:48 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-27 17:03 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-28 04:53 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-28 07:22 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-28 08:39 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-04-24 13:44 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-25 10:51 -0700
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