Re: WM and end segments...

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Sujet : Re: WM and end segments...
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.math
Date : 22. Jul 2024, 20:28:12
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v7mbsd$p76t$5@dont-email.me>
References : 1 2
User-Agent : Mozilla Thunderbird
On 7/21/2024 1:59 PM, FromTheRafters wrote:
After serious thinking Chris M. Thomasson wrote :
For some damn reason when I hear end segments from WM I think of a tree. Take the following infinite 2-ary tree that holds the positive integers:
___________________________________________
                   0
                  / \
                 /   \
                /     \
               /       \
              1         2
             / \       / \
            /   \     /   \
           3     4   5     6
          / \   / \ / \   / \
       .........................
___________________________________________
>
this goes on and on for infinity... We all can see how this can go for infinity, right WM? Wrt trees there are only leaves in a finite view of it. However, the "infinite view" of the tree has no leafs because it never ends... Fair enough? Or too out there?
>
Wrt WM, is a leaf an endsegment of an n-ary tree in your "system"? Or, I probably am missing something here. Sorry everybody. Fwiw, a finite view can be something like this:
___________________________________________
                   0
                  / \
                 /   \
                /     \
               /       \
              1         2
                       / \
                      /   \
                     5     6
___________________________________________
>
This has leaves at 1, 5 and 6, because its finite. The infinite one has no leaves. Is this a decent way to think about it? Also, if this were unit fractions, the root at zero is not a unit fraction. So, zero is not valid in that strict realm. For instance wrt the finite view above:
>
___________________________________________
                 (1/0)  *** NOT A UNIT FRACTION!
                  / \
                 /   \
                /     \
               /       \
             (1/1)    (1/2)
                       / \
                      /   \
                    (1/5) (1/6)
___________________________________________
>
>
Sound okay, or into kook ville! ;^o
 It is kind of like that.
Thanks. I had a "feeling" that this is what he is trying to get at, so to speak. So, I got a bit close. It's a bit hard to parse WM's mind... Dark and all... ;^)

WM would say that each 'level' as you build it step by step has twice as many leaf nodes as the previous level. More and more and more. Then, when it is infinite, suddenly there are no leaf nodes. What happened, he ponders.
 Then you start smelling smoke...
LOL! I wonder if WM was listening to the following song while wondering where all of the leaves went...
https://youtu.be/6cIePqdz03A
lol. ;^)

Date Sujet#  Auteur
21 Jul 24 * WM and end segments...50Chris M. Thomasson
21 Jul 24 +* Re: WM and end segments...2FromTheRafters
22 Jul 24 i`- Re: WM and end segments...1Chris M. Thomasson
22 Jul 24 +* Re: WM and end segments...46Ben Bacarisse
22 Jul 24 i+- Re: WM and end segments...1Ben Bacarisse
22 Jul 24 i+- Re: WM and end segments...1Chris M. Thomasson
22 Jul 24 i`* Re: WM and end segments...43WM
22 Jul 24 i `* Re: WM and end segments...42Alan Mackenzie
22 Jul 24 i  `* Re: WM and end segments...41WM
22 Jul 24 i   `* Re: WM and end segments...40Alan Mackenzie
22 Jul 24 i    `* Re: WM and end segments...39WM
22 Jul 24 i     +* Re: WM and end segments...3Chris M. Thomasson
22 Jul 24 i     i`* Re: WM and end segments...2Moebius
23 Jul 24 i     i `- Re: WM and end segments...1Chris M. Thomasson
23 Jul 24 i     `* Re: WM and end segments...35Alan Mackenzie
23 Jul 24 i      +* Re: WM and end segments...33WM
23 Jul 24 i      i`* Re: WM and end segments...32Chris M. Thomasson
23 Jul 24 i      i +* Re: WM and end segments...6Chris M. Thomasson
23 Jul 24 i      i i`* Re: WM and end segments...5Moebius
23 Jul 24 i      i i `* Re: WM and end segments...4Chris M. Thomasson
23 Jul 24 i      i i  +- Re: WM and end segments...1Chris M. Thomasson
23 Jul 24 i      i i  `* Re: WM and end segments...2Moebius
24 Jul 24 i      i i   `- Re: WM and end segments...1Moebius
23 Jul 24 i      i `* Re: WM and end segments...25Moebius
23 Jul 24 i      i  +* Re: WM and end segments...11Chris M. Thomasson
23 Jul 24 i      i  i`* Re: WM and end segments...10Moebius
23 Jul 24 i      i  i `* Re: WM and end segments...9Chris M. Thomasson
24 Jul 24 i      i  i  `* Re: WM and end segments...8Moebius
24 Jul 24 i      i  i   `* Re: WM and end segments...7Chris M. Thomasson
25 Jul 24 i      i  i    `* Re: WM and end segments...6Moebius
25 Jul 24 i      i  i     `* Re: WM and end segments...5Chris M. Thomasson
25 Jul 24 i      i  i      `* Re: WM and end segments...4Moebius
25 Jul 24 i      i  i       +- Re: WM and end segments...1Chris M. Thomasson
25 Jul 24 i      i  i       `* Re: WM and end segments...2Chris M. Thomasson
25 Jul 24 i      i  i        `- Re: WM and end segments...1Moebius
23 Jul 24 i      i  +* Re: WM and end segments...4Jim Burns
24 Jul 24 i      i  i+* Re: WM and end segments...2Moebius
24 Jul 24 i      i  ii`- Re: WM and end segments...1Jim Burns
24 Jul 24 i      i  i`- Re: WM and end segments...1WM
24 Jul 24 i      i  `* Re: WM and end segments...9WM
24 Jul 24 i      i   `* Re: WM and end segments...8Chris M. Thomasson
25 Jul 24 i      i    +* Re: WM and end segments...5Moebius
25 Jul 24 i      i    i`* Re: WM and end segments...4Chris M. Thomasson
26 Jul 24 i      i    i `* Re: WM and end segments...3Moebius
26 Jul 24 i      i    i  +- Re: WM and end segments...1Chris M. Thomasson
26 Jul 24 i      i    i  `- Re: WM and end segments...1Jim Burns
25 Jul 24 i      i    `* Re: WM and end segments...2FromTheRafters
25 Jul 24 i      i     `- Re: WM and end segments...1Chris M. Thomasson
23 Jul 24 i      `- Re: WM and end segments...1Chris M. Thomasson
22 Jul 24 `- Re: WM and end segments...1Chris M. Thomasson

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