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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Thu, 30 Jan 2025 20:58:01 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Thu, 30 Jan 2025 20:15:16 +0100 schrieb WM:
> 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.
There is nothing before ω.

>>>>> 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.
Ah, you mean the difference. That can not be defined without
contradictions, because k + ω = ω.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.