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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>
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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.