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Groups > sci.math > #639489

Re: Conquer the Binary Tree

From Alan Mackenzie <acm@muc.de>
Newsgroups sci.math
Subject Re: Conquer the Binary Tree
Date 2025-08-06 12:43 +0000
Organization muc.de e.V.
Message-ID <106vim1$6tc$1@news.muc.de> (permalink)
References (10 earlier) <106t233$2pf2b$1@dont-email.me> <106t3ir$b0c$1@news.muc.de> <106tgkp$2td8f$1@dont-email.me> <106tlj3$2nva$1@news.muc.de> <106tnuk$2v2sr$3@dont-email.me>

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WM <wolfgang.mueckenheim@tha.de> wrote:
> On 05.08.2025 21:21, Alan Mackenzie wrote:
>> WM <wolfgang.mueckenheim@tha.de> wrote:
>>> On 05.08.2025 16:13, Alan Mackenzie wrote:
>>>> WM <wolfgang.mueckenheim@tha.de> wrote:

>>>> I already told you in a post yesterday.  The O's "move" steadily away
>>>> from the origin.  In the limit they have "moved all the way to infinity",
>>>> every last one of them.

>>> The O's are exchanged with X's, never deleted, never leaving the finite
>>> domain. All exchanges happen at finite places.

>> Of course.  But you don't understand the concept "limit as the steps
>> tend to infinity".

> I understand ....

You don't understand at all.

> .... that never an O can be deleted. In no case!

In the current scenario, O's don't get deleted.  They just move away to
an unbounded distance.

>> For every step the X's indeed never leave the finite
>> domain, but in the limit they have vanished.

> You mean the O's.

Yes.  Sorry.

> So you wish to apply magic, I prefer mathematics.

Your preferences are beyond your abilities.  What you call "magic" is
established mathematics, as developed by minds far superior to either of
ours over the last few centuries.  That you fail to understand this
"magic" should be your problem alone.

>> You don't understand that, and you're not trying to understand it.

> I am refuting to apply magic.

You are refusing to apply established mathematics.

>> Every mathematics undergraduate understands it, but you don't.

> Unfortunately they have been spoilt by stupid teachers.

That statement confirms you as a crank, but we knew that anyway.

>>>> Please forgive me trying to explain it in terms you might understand.

>>> You should try to understand that all happens at finite places. No O
>>> will ever reach an infinite index.

>> As already said, you don't understand "limit ... tends to infinity".

> Note that Cantor does not accept a limit.

As a pre-eminent mathematician, Cantor understood full well what limits
were and how to use them.  You don't.

>>> How can you dare to propose such illogical nonsense!

>> It's basic mathematics.

> Cantor, rejecting the limit idea

> When dealing with Cantor's mappings between infinite sets, it is argued 
> usually that these mappings require a "limit" to be completed or that 
> they cannot be completed.

Don't know about "usually", I never heard any such silly arguments till I
encountered this newsgroup.

> Such arguing has to be rejected flatly.

Such arguing is non-sensical, based on misunderstandings of basic maths.

> For this reason some of Cantor's statements are quoted below.

None of the following cites (which I would normally snip as they are off
topic) comes close to "rejecting the limit idea".  That you cite them as
such shows how poor your understanding of the topic is.

> "If we think the numbers p/q in such an order [...] then every number 
> p/q comes at an absolutely fixed position of a simple infinite sequence" 
> [E. Zermelo: "Georg Cantor – Gesammelte Abhandlungen mathematischen und 
> philosophischen Inhalts", Springer, Berlin (1932) p. 126]

> "The infinite sequence thus defined has the peculiar property to contain 
> the positive rational numbers completely, and each of them only once at 
> a determined place." [G. Cantor, letter to R. Lipschitz (19 Nov 1883)]
> "thus we get the epitome (ω) of all real algebraic numbers [...] and 
> with respect to this order we can talk about the th algebraic number 
> where not a single one of this epitome () has been forgotten." [E. 
> Zermelo: "Georg Cantor – Gesammelte Abhandlungen mathematischen und 
> philosophischen Inhalts", Springer, Berlin (1932) p. 116]

> "such that every element of the set stands at a definite position of 
> this sequence" [E. Zermelo: "Georg Cantor – Gesammelte Abhandlungen 
> mathematischen und philosophischen Inhalts", Springer, Berlin (1932) p. 152]

> The clarity of these expressions is noteworthy: all and every, 
> completely, at an absolutely fixed position, th number, where not a 
> single one has been forgotten.

> Regards, WM

-- 
Alan Mackenzie (Nuremberg, Germany).

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Thread

Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-30 19:29 +0200
  Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-30 19:09 +0000
    Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-07-30 14:03 -0700
      Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-07-30 17:17 -0400
        Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 16:04 +0200
      Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 17:34 +0200
        Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-31 15:53 +0000
          Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 18:56 +0200
          Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-01 18:23 +0200
            Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-01 19:44 +0000
              Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 12:40 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 11:15 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 11:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 14:54 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 12:59 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 13:03 +0000
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-02 12:51 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 22:46 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-02 20:20 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-02 20:39 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-03 12:55 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-03 13:04 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 12:37 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-04 12:22 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 21:29 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-04 12:41 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 21:44 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-04 12:52 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 22:34 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-05 15:44 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-03 13:06 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 12:39 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-04 14:29 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 16:45 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-04 20:19 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 22:37 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 08:22 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 12:10 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-04 20:36 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-04 22:45 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 08:28 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 12:16 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 21:41 +0000
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-05 18:41 -0400
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-05 16:23 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:16 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 15:39 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 15:48 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-05 14:13 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 16:30 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 17:09 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-05 17:37 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 19:56 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-05 19:21 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-05 22:01 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-05 21:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 12:10 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:11 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:17 -0700
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-06 19:25 -0400
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-06 19:29 -0400
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:42 -0700
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-06 12:43 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 16:56 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-06 16:59 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:34 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-06 20:12 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 19:06 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-07 21:20 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-08 20:39 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:23 -0700
                Re: Conquer the Binary Tree Ben Bacarisse <ben@bsb.me.uk> - 2025-08-10 23:31 +0100
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 01:38 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 02:02 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 16:25 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 21:37 -0700
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 21:50 -0700
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-11 12:28 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 16:05 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 15:56 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-12 19:40 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:02 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:24 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:57 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 00:27 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 15:20 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 15:10 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 13:16 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 16:24 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-12 15:27 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 17:59 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-12 15:30 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:03 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-06 17:46 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-06 18:00 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 22:35 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:38 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 17:37 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-07 18:20 +0000
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-07 12:48 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 22:03 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 22:43 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-07 21:01 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-08 14:23 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-08 13:00 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-08 22:41 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-08 20:47 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-08 22:53 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:15 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:10 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-08 20:53 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:26 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-09 13:37 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 18:32 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-09 11:10 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-08 14:32 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-09 15:13 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-09 11:08 -0700
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-09 11:13 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 22:21 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-07 22:32 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-07 13:47 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-08 00:50 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-07 16:53 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-08 00:25 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-09 11:11 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-10 15:08 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 07:51 -0700
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-10 08:08 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-10 12:56 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 15:44 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-11 12:37 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 16:16 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 14:04 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 16:40 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 16:41 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 15:28 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 17:56 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 18:15 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 18:17 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 21:58 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 22:45 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 16:53 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 18:11 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-12 17:15 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 22:19 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 22:35 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 16:58 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 17:01 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-13 15:06 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 00:24 +0200
                Re: Conquer the Binary Tree Hugh Kalambetov <ahuebbl@htlhkm.ru> - 2025-08-14 09:34 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 13:00 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 12:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 15:01 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 13:40 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 16:08 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 14:18 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 14:59 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-15 13:59 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 17:21 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 17:29 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 21:30 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 13:23 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 18:03 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-15 16:45 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 18:52 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 00:10 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 22:25 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-16 13:57 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 13:55 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-16 14:26 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-15 15:00 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 17:27 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-13 16:48 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-13 16:13 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-13 16:23 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-13 19:10 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:38 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-14 12:42 +0000
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-14 15:33 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 15:04 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-15 13:38 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 19:01 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 10:04 -0700
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-15 17:36 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 13:46 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-16 12:11 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 14:29 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-16 14:27 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 18:25 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-17 06:06 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-17 12:44 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 16:54 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 17:01 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-16 18:29 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-17 12:40 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-16 14:24 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:24 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-14 15:42 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 15:37 +0200
                Re: Conquer the Binary Tree joes <noreply@example.org> - 2025-08-13 17:37 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:51 +0200
                Re: Conquer the Binary Tree FromTheRafters <FTR@nomail.afraid.org> - 2025-08-14 11:02 -0400
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-14 11:23 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 00:43 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 00:57 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 14:56 +0200
                Re: Conquer the Binary Tree Alan Mackenzie <acm@muc.de> - 2025-08-14 13:09 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-14 13:12 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:54 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:57 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 18:06 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-14 15:55 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:43 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 17:56 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-14 18:03 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 01:10 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 17:55 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-15 16:03 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 18:44 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-15 18:58 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-15 23:45 +0200
                Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-15 20:52 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-15 09:57 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-16 14:08 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-16 13:48 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-12 17:04 -0700
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 16:44 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:16 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:18 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:28 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 17:42 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 01:57 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 01:57 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-11 18:38 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:42 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-12 15:16 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-11 22:47 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 02:00 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-12 02:01 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 00:11 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:35 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 22:19 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:38 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:28 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-06 16:19 -0700
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-08-05 15:47 -0700
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-06 19:19 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-06 17:31 +0000
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 00:58 +0200
                Re: Conquer the Binary Tree Moebius <invalid@example.invalid> - 2025-08-07 00:58 +0200
                Ben Bacarisse's "debunking" attempt WM <wolfgang.mueckenheim@tha.de> - 2025-08-18 16:07 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 15:03 +0200
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 13:17 +0000
                Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-02 13:24 +0000
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 19:39 +0200
                Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-08-02 20:12 +0200
    Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 15:28 +0200
      Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-31 13:35 +0000
        Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 16:49 +0200
          Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-07-31 14:53 +0000
            Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-07-31 11:52 -0700
              Re: Conquer the Binary Tree WM <wolfgang.mueckenheim@tha.de> - 2025-07-31 22:55 +0200
                Re: Conquer the Binary Tree "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-07-31 13:58 -0700
  Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-09 07:11 -0700
    Re: Conquer the Binary Tree Python <jp@python.invalid> - 2025-08-09 14:15 +0000
      Re: Conquer the Binary Tree Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-08-09 07:35 -0700

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