Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Thu, 30 Jan 2025 20:15:16 +0100
Organization: A noiseless patient Spider
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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.

Regards, WM