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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Thu, 27 Jun 2024 20:03:22 -0400
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On 6/27/24 3:47 PM, WM wrote:
> Le 27/06/2024 à 14:33, FromTheRafters a écrit :
>> WM submitted this idea :
>>> Therefore ℕ_0 as a proper superset of ℕ has one elements more than ℕ. 
>>> Infinity does not make them equal.
>>
>> Yes it does, cardinal arithmetic works differently in the two realms 
>> of finite and infinite.
> 
> Cardinality is nonsense. Set differences are established by their 
> elements. ℕ_0 differs from ℕ by one element. Do you want to contradict? 
> Don't make a fool of yourself!
> 
> Regards, WM

As was saidd, Cardinatality of infinte sets work differently than that 
of finite sets.

If you can't handle that difference, you can't deal with the truly 
infinite sets, only your sort-of looks a little bit like infinite sets 
of your FISONs, which are just arbitrarily large, not infinite.