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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Thu, 30 Jan 2025 14:54:15 -0500 Organization: Peripheral Visions Lines: 37 Message-ID: <vngldd$33j5g$1@dont-email.me> References: <vmo1bs$1rnl$1@dont-email.me> <ee4e189d-56bc-4ed7-b7b7-cd71fc4d2349@att.net> <vmqh9k$urua$1@dont-email.me> <903de8e1-3538-4cfe-9f7a-6509eda47ab6@att.net> <vmsvfv$1hn5k$1@dont-email.me> <3844edd7-0750-4418-bff6-2759817446b3@att.net> <vmvn1h$25r19$1@dont-email.me> <27377646-137a-4f8f-a7bb-a75707b2da96@att.net> <vn2gcf$2ouuo$2@dont-email.me> <d90c478d-6806-4ffe-83be-a5d7674bb5e3@att.net> <b82a0915-400a-4f77-9309-44eef432e9f4@att.net> <vn50eo$3kgi6$2@dont-email.me> <4d349964-211f-42f1-936f-81c22ae54cb5@att.net> <vn7vns$ra97$2@dont-email.me> <e3f89d8c-d214-453a-91f4-9023e744fed2@att.net> <vna72s$1ng1k$2@dont-email.me> <6e0c8ab2-402a-43a5-a348-0c727eae6a2e@att.net> <vnat4s$1s6ha$4@dont-email.me> <e43b1c65-4424-4e0c-9b2e-65e0e463815b@att.net> <vnconr$29v5v$1@dont-email.me> <vncstv$2anvb$1@dont-email.me> <vncuei$2avaj$2@dont-email.me> <vndch7$2dgpn$1@dont-email.me> <vnffg0$2rv3s$4@dont-email.me> <vnfl08$2tga8$1@dont-email.me> <vngj43$31ud4$4@dont-email.me> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 30 Jan 2025 20:54:22 +0100 (CET) Injection-Info: dont-email.me; posting-host="a30c4a67430c3d1f1581f675d53d4553"; logging-data="3263664"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18NH4UjxBKexLPRc7E+3zLYU3IWBjmVCjo=" Cancel-Lock: sha1:D2h5yhS0olib7lEfRiGcDuatHWc= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 3056 WM explained on 1/30/2025 : > On 30.01.2025 11:41, FromTheRafters wrote: >> WM formulated the question : >>> On 29.01.2025 15:04, FromTheRafters wrote: >>>> WM explained on 1/29/2025 : >>>>> On 29.01.2025 10:38, 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. >> >>>>> And how long is the distance from ω to a natnumber? >>>> >>>> This makes no sense. >>> >>> It is research. >> >> Is there a 'distance' metric in the ordinals? >> >> ============================================ >> AI Overview >> >> No, there is no inherent "distance" metric in ordinal numbers > > Wrong. The ordinals 7 and 27 have the distance 27 - 7 = 20. Finite ordinals are like finite cardinalities.