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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: how
Date: Tue, 16 Apr 2024 22:51:31 -0700
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On 4/16/2024 10:47 PM, FromTheRafters wrote:
> Richard Damon formulated the question :
>> On 4/16/24 10:59 AM, WM wrote:
>>> Le 16/04/2024 à 00:38, Richard Damon a écrit :
>>>
>>>> Name a Natural Number that can not be doubled!!!
>>>>
>>> All nameable numbers belong to a potentially infinite collection, a 
>>> very small initial segment of ℕ.
>>>>
>>>>>> Thus, doubling ALL the Natural Numbers still gives you results 
>>>>>> that are all Natural Numbers.
>>>>>
>>>>> Impossible, since all are doubled.
>>>>
>>>> POSSIBLE!!!!
>>>>
>>>> That is the "miracle" of INFINITY.
>>>
>>> No, it is the incongruence of thinking.
>>> For potential infinity it is true. But for actual infinity it is wrong.
>>>
>>> Regards, WM
>>>
>>>
>> Why?
>>
>> What number in the set of Natual Numbers doesn't have another Natural 
>> Number that is twice it?
> 
> Zero?

Is zero a natural number? Yikes! Well, how to denote 42 - 42 = 0 ;^)