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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: how
Date: Tue, 23 Apr 2024 15:56:57 -0400
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WM pretended :
> Le 23/04/2024 à 20:57, FromTheRafters a écrit :
>> WM was thinking very hard :
>>> Le 22/04/2024 à 20:02, FromTheRafters a écrit :
>>>> WM has brought this to us :
>>>>> Le 21/04/2024 à 00:44, FromTheRafters a écrit :
>>>>>> WM wrote :
>>>>>
>>>>>>>> What is a gap in the ordinals?
>>>>>>>
>>>>>>> It is a not existing ordinal between two ordinals. It is a not 
>>>>>>> existing natural number next to ω, for instance.
>>>>>> 
>>>>>> Sets do not have not existing elements.
>>>>>
>>>>> What is ω - 1?
>>>> 
>>>> An absurdity.
>>>
>>> Not more nor less than ω.
>> 
>> What is the value of ω?
>
> It cannot be expressed in units as a finite initial segment of ℕ.

It is a rank, not a value.