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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
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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.