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: Thu, 25 Jul 2024 11:35:41 -0700 Organization: A noiseless patient Spider Lines: 51 Message-ID: References: <0QcM9G1omJ2PKIjSNt0DAeubbXs@jntp> <6I1T1h4irpLul8CAHSeRU-rELD8@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 25 Jul 2024 20:35:42 +0200 (CEST) Injection-Info: dont-email.me; posting-host="3a3d42b0da11387c2e7b664ec6f3325e"; logging-data="2529860"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/N4ZdVgDtfgkMu4aLyUIM/HQjyZBSBnaw=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:whWhszZUd2prUvJyqichGaa83zA= In-Reply-To: Content-Language: en-US Bytes: 2708 On 7/25/2024 2:44 AM, FromTheRafters wrote: > Chris M. Thomasson expressed precisely : >> On 7/24/2024 1:09 PM, WM wrote: >>> Le 23/07/2024 à 22:17, Moebius a écrit : >>>> Am 23.07.2024 um 21:57 schrieb Chris M. Thomasson: >>>>> On 7/23/2024 9:49 AM, WM wrote: >>>> >>>>>> "LLLLLLLL....." is a finite expression, >>>> >>>> WM is right here. >>>> >>>>> "LLLLLLLL....." is an infinite expression, indeed.... >>>> >>>> Nope. >>>> >>>> Hint: print(len("LLLLLLLL.....")) >>>> >>>> But by convention (we think -except WM that is- that) >>>> "LLLLLLLL....." DENOTES (refers to) an infinite sequence of "L"s. :-P >>> >>> We all know that "LLLLLLLL....."  refers to an infinite sequence. But >>> there are only countably finite expressions. More is not available to >>> refer to infinite sequences. >> >> Do you know that the natural numbers are infinite, yet countable? > > The set of natural numbers is countably infinite, no natural number is. Yeah. Sometimes its fun to take a natural number and break it apart: 7 = 3 + 4 7 = 2 + 5 7 = 1 + 6 7 = 3 + 2^2 7 = 2 + (3*2-1) 7 = 5^2 - 18 lol. ;^) ect... There are "infinite" ways to represent a natural? -7 + 14 = 7 ect... ;^) > > Oh, and thanks for using only three dots for your ellipsis. ..(3) = .333... = 1/3 ;^)