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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: how
Date: Wed, 24 Apr 2024 19:13:43 -0400
Organization: i2pn2 (i2pn.org)
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On 4/24/24 1:05 PM, WM wrote:
> Le 24/04/2024 à 02:03, Jim Burns a écrit :
>> On 4/23/2024 2:06 PM, WM wrote:
>>> Le 22/04/2024 à 20:02, FromTheRafters a écrit :
> 
>>>>> What is ω - 1?
>>>>
>>>> An absurdity.
>>
>> ω-1 is that which has anything and everything
>> following in a finite not.first.false claim.sequence:
>> Rumpelstiltskin spins straw into gold,
> 
> Is there an ordinal between ℕ and ω? If not, then the next number below 
> ω is a natural.
> 
> Regards, WM

Nope, because "next below" is not an operation defined for ω, just like 
it isn't for 0.

The ONLY numbers below ω are the Natural Numbers, but "next" doesn't apply.