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Le 25/04/2024 à 01:13, Richard Damon a écrit :
> On 4/24/24 1:05 PM, WM wrote:

>> Is there an ordinal between ℕ and ω? If not, then the next number below 
>> ω is a natural.
> 
> Nope, because "next below" is not an operation defined for ω, just like 
> it isn't for 0.

Defined or not, there is something on the way from 1 to ω. Only natural 
numbers or empty steps.
> 
> The ONLY numbers below ω are the Natural Numbers, but "next" doesn't apply.

If ω is existing, then something is next.

Regards, WM