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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Contradiction of bijections as a measure for infinite sets
Date: Thu, 28 Mar 2024 13:33:26 -0700
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On 3/28/2024 1:07 PM, WM wrote:
> Le 27/03/2024 à 18:54, Jim Burns a écrit :
>> On 3/27/2024 9:38 AM, WM wrote:
>>> Le 26/03/2024 à 16:40, Jim Burns a écrit :
>>
>>>> ℕ and ℚ have the same infinity.
>>>
>>> Only if
>>> logic (every lossless exchange is lossless)
>>> is violated and damaged, i.e.,
>>> only in matheology.
>>
>> ℕ and ℚᶠʳᵃᶜ are the same size.
> 
> ℕ and ℕ are the same size.
> ℚ and ℚ are the same size.
> 
> Removing a proper fraction decreases ℚ but leaves it larger than ℕ. When 
> the size changes it cannot remain the same.
[...]

How do you "remove" a number from ℕ? Then it would no longer be ℕ. See?