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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: Replacement of Cardinality
Date: Fri, 2 Aug 2024 12:19:14 -0400
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On 8/2/24 7:02 AM, WM wrote:
> Le 02/08/2024 à 08:48, Mikko a écrit :
>> On 2024-07-31 14:20:00 +0000, WM said:
> 
>>> The bijection is not true.
>>
>> Of course not, just like the Moon is not true. It just is there.
> 
> The bijection concerns only the potentially infinite initial segments. 
> Every natural number that can be verified in the bijection has ∀n ∈ 
> ℕ_verif: |ℕ \ {1, 2, 3, ..., n}| = ℵo successors, ℵo of which cannot be 
> verified.
> Proof: Ther are more algebraic numbers than prime numbers. Every not 
> completely confused brain recognizes this.
> 
> Regards, WM
> 
> 

No, YOU THINK there are more algebraic numbers than prime numbers 
because you don't understand that there are exactly ℵo of both of them.

All countably infinite sets are the same size, and any logic that tries 
to order the sizes of such sets gets into contradictions, and blows 
itself up.

This of course, has happened to your logic system, and apparently taken 
out your brain.