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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: how
Date: Wed, 17 Apr 2024 02:02:19 -0400
Organization: Peripheral Visions
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Chris M. Thomasson used his keyboard to write :
> 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?

Sometimes. :)

Is it too late to apply for poetic license?

> Yikes! Well, how to denote 42 - 42 = 0 ;^)

Subtraction is only a partial function in the positive and non-negative 
integers.