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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Fri, 28 Jun 2024 13:46:41 -0400
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joes was thinking very hard :
> Am Fri, 28 Jun 2024 13:55:34 +0000 schrieb WM:
>> Le 28/06/2024 à 10:38, joes a écrit :
>>> Am Thu, 27 Jun 2024 12:15:30 +0000 schrieb WM:
>>>> Le 26/06/2024 à 23:55, Jim Burns a écrit :
>>>> 
>>>>> WM thinks an infinite number is
>>>>> very.large.but.finite
>>>> No, I assume that sets are complete. Therefore ℕ_0 as a proper
>>>> superset of ℕ has one elements more than ℕ. Infinity does not make
>>>> them equal.
> Infinity does not have a predecessor like finite numbers.
>
>>> What does „complete” mean?
>> It means that no natural number can be added to {0, 1, 2, 3, ..., ω}
> Duh, the set of all natural numbers N contains all of them.
>
>> It means that the subtraction of the complete set leaves {0, 1, 2, 3,
>> ..., ω} \ ℕ = {0, ω}.
>> It means that in {0, 1, 2, 3, ..., ω} before ω there is a natural
>> number.
> There is not, since there are infinitely many of them.
>
>>> With which numbers do you describe the sizes of N and N_0?
>> Most of them are dark and cannot be used as individuals.
> Not their elements. I was asking for their number, how many
> of them there are.

There's a number of them, however, how many there are is not a number.