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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: Replacement of Cardinality
Date: Sat, 27 Jul 2024 07:27:30 -0400
Organization: i2pn2 (i2pn.org)
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On 7/27/24 7:13 AM, WM wrote:
> Le 27/07/2024 à 04:23, Richard Damon a écrit :
> 
>> By your logic, if you take a set and replace every element with a 
>> number that is twice that value, it would by the rule of construction 
>> say they must be the same size.
> 
> That is true in potential infinity. But I assume actual infinity.
>>

So, what part is not true? Are you stating that replacing every element 
with another unique distinct element something that make the set change 
size?


>> But that resultant set is the evens, which can also be shown by your 
>> logic to have less elements than the Natural Numbers they were made 
>> from by doubling,
> 
> So it is.

WHich shows the logic to be wrong.

> 
> Regards, WM
> 
>