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Re: Question about unbounded infinite sets...

From Richard Damon <richard@damon-family.org>
Newsgroups sci.math
Subject Re: Question about unbounded infinite sets...
Date 2024-02-19 21:17 -0500
Organization i2pn2 (i2pn.org)
Message-ID <ur122u$38ebk$1@i2pn2.org> (permalink)
References (6 earlier) <7HUMfSE1l9ARwDHwaSxfCwvGVes@jntp> <uqu2se$33rpu$3@i2pn2.org> <ES5dfcNfrhlcNPqO5VUV-PJGl34@jntp> <uqvhrd$36l0m$1@i2pn2.org> <NeuORAR9ug003aM2M7OHghS2yj0@jntp>

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On 2/19/24 7:59 AM, WM wrote:
> Le 19/02/2024 à 13:33, Richard Damon a écrit :
>> On 2/19/24 3:14 AM, WM wrote:
>>> Le 19/02/2024 à 00:12, Richard Damon a écrit :
>>>> On 2/18/24 4:00 PM, WM wrote:
>>>>> Le 18/02/2024 à 19:16, Jim Burns a écrit :
>>>>>>
>>>>>> Which do you (WM) give up?
>>>>>> How do you justify giving it up?
>>>>>
>>>>> I will never give up the following self-evidence:
>>>>> If there are ℵo unit fractions in the interval (0, eps), then there 
>>>>> is an x with only a finite number of unit fractions in (0, x).
>>>>> Why? Because unit fractions are real points on the real line. They 
>>>>> cannot appear as an infinite swarm without a finite start.
>>>>
>>>> But the start was at 1/1
>>>>
>>>> Remember "real points" take up no space,
>>>
>>> But unit fractions have internal distances and they take up space.
>>
>> But a space that gets vanishingly small,
> 
> Bot by the number of points - there are always infinitely many between 
> two adjacent unit fractions.
> 

So?

Your mind just doesn't seem to be able to understand that fact.

>>> If there is a set of real points with distances at the real axis, 
>>> then every point can be considered as the border between two subsets. 
>>> If it is impossible to reduce the left-hand subset to a finite 
>>> amount, then there is no point available dividing infinitely many 
>>> unit fractions. Then they sit at one point. That is impossible by ∀n 
>>> ∈ ℕ: 1/n - 1/(n+1) = d_n
>>
>> Why must the left side every become finite?
> 
> If there are teally existing real points, then each one can be used, in 
> principle, as the border.

No, only the one ON the border would be the border, but for every one 
that you might want to think of as the border, there are more that are 
closer to the border.

Thus, there is NOT one (in the set) on the border, and thus there is no 
"first" (from the left) unit fraction, and thus NUF(x) isn't defined.

>>
>> I guess you agree that Achilles can't pass the Tortoise, or maybe only 
>> at some "dark" time that we can not see.
> 
> Irrelevant for the present topic. But true that he overtakes in darkness.

But he doesn't, he passes the Tortoise at a easily determined finite 
time (if we know the actual speeds).

This shows that to you ALL numbers have become "dark", because you can't 
actually use any of them without hitting a problem.

> 
> Regards, WM
> 
>

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Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 12:49 -0800
  Re: Question about unbounded infinite sets... Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-16 21:07 +0000
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 13:22 -0800
      Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 13:56 -0800
        Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:09 -0800
          Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:19 -0800
            Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 09:56 +0000
              Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-17 07:15 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-17 12:11 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 22:03 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 07:36 -0500
                Re: Question about unbounded infinite sets... Mild Shock <janburse@fastmail.fm> - 2024-03-01 21:20 +0100
                Re: Question about unbounded infinite sets... Mild Shock <janburse@fastmail.fm> - 2024-03-01 21:25 +0100
              Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-17 13:35 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 19:14 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-18 13:16 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-18 21:00 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 18:12 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-19 08:14 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-19 07:33 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-19 12:59 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-19 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:24 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-19 08:27 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-19 15:37 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:15 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 16:47 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:42 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 12:01 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-22 07:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 14:05 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-23 11:14 -0800
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-22 09:39 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:35 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-23 03:54 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 09:04 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:16 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 10:31 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 16:14 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 11:45 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 14:43 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-24 12:58 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:07 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-24 11:26 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-24 12:58 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-22 09:54 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:42 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-23 08:11 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-23 09:38 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:20 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 14:25 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:05 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-25 15:58 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-26 08:36 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-26 14:05 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-26 11:19 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 15:57 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 13:57 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 19:38 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 20:33 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 21:46 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-28 06:45 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-28 09:35 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-28 23:07 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-28 22:53 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-29 09:11 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 14:37 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-29 12:33 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 23:55 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-29 21:27 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 08:52 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 13:13 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 10:44 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 15:12 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 14:38 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 15:28 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-27 14:31 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-28 12:53 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-28 17:57 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-29 08:30 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 12:48 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-29 19:31 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-29 15:04 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-01 08:39 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 07:46 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-01 18:25 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-01 10:48 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-01 13:55 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 12:20 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-02 09:20 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 15:09 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-02 10:44 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 17:28 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-02 16:57 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-03 08:54 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-03 07:19 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-03 19:02 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-03 15:52 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 14:09 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-03 18:07 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-03 15:19 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 13:31 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-04 10:52 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 16:20 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-04 15:16 -0800
                Why "not.first.false" Jim Burns <james.g.burns@att.net> - 2024-03-05 15:33 -0500
                Re: Why "not.first.false" Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-05 19:42 -0800
                Re: Why "not.first.false" Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-05 21:24 -0800
                Re: Why "not.first.false" WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 10:08 +0000
                Re: Why "not.first.false" Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-06 09:23 -0800
                Re: Why "not.first.false" Jim Burns <james.g.burns@att.net> - 2024-03-06 12:31 -0500
                Re: Why "not.first.false" WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 18:20 +0000
                Re: Why "not.first.false" Jim Burns <james.g.burns@att.net> - 2024-03-06 14:30 -0500
                Re: Why "not.first.false" WM <wolfgang.mueckenheim@tha.de> - 2024-03-07 10:44 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-05 14:07 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 15:56 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-04 09:44 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-04 13:26 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 17:53 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-05 10:09 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-05 06:36 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 10:00 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-03-06 05:34 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-06 09:21 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 17:24 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-06 09:44 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-06 09:55 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 18:06 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-06 11:51 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-06 14:52 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-06 14:53 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-07 10:53 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-07 08:24 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-07 12:07 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-08 07:55 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-06 14:51 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-06 16:15 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-06 14:47 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-06 08:24 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-06 09:17 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 17:28 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-06 09:39 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-06 09:52 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 18:13 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-06 12:06 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-07 11:01 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-07 12:12 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-08 08:29 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-06 14:56 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-07 10:47 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-07 12:03 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-08 07:54 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-03-05 08:49 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-06 13:29 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-07 10:41 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-07 14:24 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-08 07:52 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-07 15:33 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 14:08 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-03-03 14:11 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-01 16:27 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-02 14:33 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-02 18:04 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-03 08:51 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-03 11:48 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 08:08 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-04 18:56 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-04 12:49 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 16:39 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-05 09:57 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-03-05 06:40 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-03-05 08:15 -0800
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-06 10:04 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-03-04 16:52 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-03-05 10:07 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-03-05 08:50 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-20 10:36 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-19 15:21 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 08:12 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 07:49 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 16:52 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:47 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-20 15:02 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-20 21:59 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-20 14:19 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-20 18:55 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:39 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 14:26 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 13:06 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-22 13:12 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-23 08:55 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-23 14:21 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 12:10 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-24 12:55 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-25 09:01 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-25 14:35 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-26 08:32 +0000
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-26 11:44 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-27 14:24 +0000
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-27 09:42 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-27 12:45 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:25 -0800
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:44 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-20 21:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-21 08:52 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-21 07:32 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 12:04 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-22 07:17 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-22 14:11 +0000
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:27 -0800
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-23 07:23 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 11:30 +0000
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 10:31 -0500
                Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-24 16:16 +0000
                Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-24 11:29 -0500
                Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-24 11:47 -0500
                Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-22 16:26 -0800
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-21 10:27 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 15:02 -0500
                Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-21 12:59 -0800
                Re: Question about unbounded infinite sets... Jim Burns <james.g.burns@att.net> - 2024-02-21 17:23 -0500
            Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 10:00 +0000
              Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-18 20:00 -0800
                Re: Question about unbounded infinite sets... Yecin Tcharushin Bazunov <inaah@htr.ru> - 2024-02-19 18:30 +0000
                Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-19 19:19 -0800
                Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-20 11:10 -0800
          Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 15:35 -0800
            Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-16 18:48 -0800
              Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-16 19:34 -0800
      Re: Question about unbounded infinite sets... Ben Bacarisse <ben.usenet@bsb.me.uk> - 2024-02-19 00:01 +0000
        Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-18 16:54 -0800
    Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 08:23 +0000
      Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-17 07:15 -0500
        Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-17 21:59 +0000
          Re: Question about unbounded infinite sets... Richard Damon <richard@damon-family.org> - 2024-02-18 07:36 -0500
            Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-18 11:49 -0500
              Re: Question about unbounded infinite sets... Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-02-18 10:03 -0800
            Re: Question about unbounded infinite sets... WM <wolfgang.mueckenheim@tha.de> - 2024-02-18 21:04 +0000
  Re: Question about unbounded infinite sets... Erdélyi Szőke Komáromi <oikr@idrdls.hu> - 2024-02-16 21:44 +0000
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:07 -0800
    Re: Question about unbounded infinite sets... x <x@x.org> - 2024-02-17 06:33 -0800
      Re: Question about unbounded infinite sets... Burton Rabota Baidjanoff <nau@ninrbfbb.ru> - 2024-02-17 16:29 +0000
        Re: Question about unbounded infinite sets... Trolidous <trolidous@go.com> - 2024-02-17 13:54 -0800
  Re: Question about unbounded infinite sets... Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-02-16 21:45 +0000
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:12 -0800
  Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-16 17:33 -0500
    Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-16 15:16 -0800
      Re: Question about unbounded infinite sets... FromTheRafters <FTR@nomail.afraid.org> - 2024-02-17 06:33 -0500
        Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-20 11:59 -0800
  Re: Question about unbounded infinite sets... "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2024-02-16 20:06 -0800
  Re: Question about unbounded infinite sets... "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-02-17 14:29 -0800

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