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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: WM and end segments...
Date: Mon, 22 Jul 2024 13:47:44 -0700
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On 7/22/2024 1:14 PM, WM wrote:
> Le 22/07/2024 à 21:45, Alan Mackenzie a écrit :
>> WM <wolfgang.mueckenheim@tha.de> wrote:
> 
>>> Only a matheologian fixed in his views can claim that after knowing 
>>> my game
>>
>> We've known your game for years;
> 
> You have not understood it. Otherwise if not agreeing you could show an 
> error. But you can only curse:
> 
>>  it is to obfuscate, confuse, and lie.
> 
>>> "You seem to be ignoring the fact that, after you have colored a 
>>> countable family of pathes, say P0, P1, ..., Pn, ..., there may be 
>>> other paths Q that are not on this countable list but have, 
>>> nevertheless, had all their nodes and edges colored. Perhaps the 
>>> first node and edge of Q were also in P1, the second node and edge of 
>>> Q were in P2, etc. [...] by choosing the sequence of Pn's 
>>> intelligently, you can, in fact, ensure that this sort of thing 
>>> happens for every path Q." [Andreas Blass, loc cit]
>>
>> It can happen for every FINITE path Q.
> 
> Not for finite and not for infinite paths. If the second node is in P2, 
> then also the first node is in P2. That is the principle of the Binary 
> Tree.
> 
>> An infinite path in an infinite binary tree can be coded as an infinite
>> sequence of Ls and Rs, corresponding to whether at the next node one goes
>> left or right.  So, for example, the very first path might be
>> LLLLLLLL.....
> 
> It is impossible to use infinite sequences of Ls or Rs. What can be used 
> is a finite abbreviation like "LLLLLLLL.....". But there are only 
> countably many finite

Huh? lol. Humm... You are a HYPER Finite person. That about sums it up. 
Your mind cannot fathom infinity of any kind.

[...]