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: how Date: Tue, 23 Apr 2024 14:23:01 -0700 Organization: A noiseless patient Spider Lines: 30 Message-ID: References: MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 23 Apr 2024 23:23:01 +0200 (CEST) Injection-Info: dont-email.me; posting-host="c177552828c211028f410b27a8bc1dd6"; logging-data="1956001"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1989Fyz2EMB02xLQzLOEqg9DYsZ4TVyT5I=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:T3ovJZs6n0oaRE3Hy6EAvDfJf3c= In-Reply-To: Content-Language: en-US Bytes: 2345 On 4/23/2024 12:13 PM, WM wrote: > Le 23/04/2024 à 20:57, FromTheRafters a écrit : >> WM was thinking very hard : >>> Le 22/04/2024 à 20:02, FromTheRafters a écrit : >>>> WM has brought this to us : >>>>> Le 21/04/2024 à 00:44, FromTheRafters a écrit : >>>>>> WM wrote : >>>>> >>>>>>>> What is a gap in the ordinals? >>>>>>> >>>>>>> It is a not existing ordinal between two ordinals. It is a not >>>>>>> existing natural number next to ω, for instance. >>>>>> >>>>>> Sets do not have not existing elements. >>>>> >>>>> What is ω - 1? >>>> >>>> An absurdity. >>> >>> Not more nor less than ω. >> >> What is the value of ω? > > It cannot be expressed in units as a finite initial segment of ℕ. So, you were always missing your largest natural number from the get go? You are a moron? WM, sure seems to think that there _is_ a largest natural number, he just cannot see it, so, well, it must be dark. lol! Your largest natural number is already in the set of all natural numbers!