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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Wed, 27 Nov 2024 19:31:18 -0500
Organization: i2pn2 (i2pn.org)
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On 11/27/24 4:33 PM, WM wrote:
> On 27.11.2024 20:47, Jim Burns wrote:
> 
>> Finite cardinals can change by 1
>> The cardinal |ℕᶠⁱⁿ| cannot change by 1
> 
> Small wonder. Fuzzy properties like "many" cannot change by 1.
>>
>> Yes,
>> the sets can change membership by 1
> 
>> However,
>> the cardinalities of those sets cannot change by 1
> 
> This proves that cardinality is a fuzzy property.
> 
> Regards, WM

No, it shows that infinite values act differently than finite numbers.