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Date: Tue, 23 Apr 24 19:13:27 +0000
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From: WM <wolfgang.mueckenheim@tha.de>
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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.

Regards, WM