Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Thu, 30 Jan 2025 22:57:52 +0100 Organization: A noiseless patient Spider Lines: 18 Message-ID: References: <903de8e1-3538-4cfe-9f7a-6509eda47ab6@att.net> <3844edd7-0750-4418-bff6-2759817446b3@att.net> <27377646-137a-4f8f-a7bb-a75707b2da96@att.net> <4d349964-211f-42f1-936f-81c22ae54cb5@att.net> <6e0c8ab2-402a-43a5-a348-0c727eae6a2e@att.net> <6f9139bb172e8ce7896740fe8695c9279db44f8d@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 30 Jan 2025 22:57:52 +0100 (CET) Injection-Info: dont-email.me; posting-host="1bc44537f295b41dd8cc40a16cdc4b04"; logging-data="3306369"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19SxGKgigHXFgEAlqbqKCtoOI7f45gO11U=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:UqyQX+3wkiAQCpkFuQC0D6rShU4= Content-Language: en-US In-Reply-To: <6f9139bb172e8ce7896740fe8695c9279db44f8d@i2pn2.org> Bytes: 2755 On 30.01.2025 21:58, joes wrote: > Am Thu, 30 Jan 2025 20:15:16 +0100 schrieb WM: >> On 30.01.2025 11:41, FromTheRafters wrote: >>>>>>> Omega has no immediate predecessor. >>>>>> What is immediately before ω? >>>>> Nothing, it is the initial member of the transfinite ordinals. just >>>>> as zero is the initial member of the finite ordinals. >>>> There is something before zero. >>> Not in the ordinals, which is what you say the context is this time. >> Not in the known ordinals. But if anything else, then name it, and how >> many of these are there. > There is nothing before ω. There are all natural numbers before ω. Afterwards follows ω or something else between them and ω. Regards, WM