Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: WM and end segments... Date: Tue, 23 Jul 2024 12:57:40 -0700 Organization: A noiseless patient Spider Lines: 56 Message-ID: References: <87ed7m7349.fsf@bsb.me.uk> <0QcM9G1omJ2PKIjSNt0DAeubbXs@jntp> <6I1T1h4irpLul8CAHSeRU-rELD8@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 23 Jul 2024 21:57:41 +0200 (CEST) Injection-Info: dont-email.me; posting-host="0307fbf971d8559d1911245420400168"; logging-data="1419922"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/bfZsMQV8vr+ywhvAxkWr3Cj3Rw8gnnbA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:jzPNVrCNNB/WoVo8/rPt6oJpmgk= In-Reply-To: <6I1T1h4irpLul8CAHSeRU-rELD8@jntp> Content-Language: en-US Bytes: 3211 On 7/23/2024 9:49 AM, WM wrote: > Le 23/07/2024 à 10:49, Alan Mackenzie a écrit : >> WM wrote: >>> Le 22/07/2024 à 21:45, Alan Mackenzie a écrit : >>>> WM 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. > > No comment. > >>>> 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 >> >> I have just used infinite sequences of Ls and Rs.  It's clear you do not >> have a degree in mathematics. > > It is clear that you don't know mathematics. "LLLLLLLL....." is a finite > expression, a formula *producing* every desired term of an infinite > sequence. Infinite sequences cannot be written. "LLLLLLLL....." is an infinite expression, indeed.... Think of: .(9) = .999... = 1 in base 10 wrt a limit. Do you think a limit makes things finite? Anyway. You would be wrong. Think of going left forever... And ever... https://youtu.be/yPYZpwSpKmA ROFL!!!!!! ;^) > >>> Nevertheless my game shows a contradiction. Can you understand that? >>> The "explanation" of Andreas Blass is absolute nonsense because of the >>> principle of the Binary Tree. Can you understand that? >> >> I'm sure I could, if I could be bothered. > > I doubt that. My students understand it within less than 5 minutes. > > Regards, WM